Revision 5:3762170b6d4d, committed 2015-11-20

Comitter:

mbed_official

Date:

Fri Nov 20 08:45:18 2015 +0000

Parent:

4:9cee975aadce

Commit message:

Synchronized with git revision 2eb940b9a73af188d3004a2575fdfbb05febe62b

Full URL: https://github.com/mbedmicro/mbed/commit/2eb940b9a73af188d3004a2575fdfbb05febe62b/

Added option to build rpc library. closes #1426

Changed in this revision

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/BasicMathFunctions/arm_abs_f32.c
--- a/cmsis_dsp/BasicMathFunctions/arm_abs_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/BasicMathFunctions/arm_abs_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_abs_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/BasicMathFunctions/arm_abs_q15.c
--- a/cmsis_dsp/BasicMathFunctions/arm_abs_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/BasicMathFunctions/arm_abs_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_abs_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/BasicMathFunctions/arm_abs_q31.c
--- a/cmsis_dsp/BasicMathFunctions/arm_abs_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/BasicMathFunctions/arm_abs_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_abs_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/BasicMathFunctions/arm_abs_q7.c
--- a/cmsis_dsp/BasicMathFunctions/arm_abs_q7.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/BasicMathFunctions/arm_abs_q7.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_abs_q7.c    
@@ -136,7 +136,7 @@
   /* Run the below code for Cortex-M0 */
   blkCnt = blockSize;
 
-#endif //      #define ARM_MATH_CM0_FAMILY
+#endif /* #define ARM_MATH_CM0_FAMILY */
 
   while(blkCnt > 0u)
   {

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/BasicMathFunctions/arm_add_f32.c
--- a/cmsis_dsp/BasicMathFunctions/arm_add_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/BasicMathFunctions/arm_add_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_add_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/BasicMathFunctions/arm_add_q15.c
--- a/cmsis_dsp/BasicMathFunctions/arm_add_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/BasicMathFunctions/arm_add_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_add_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/BasicMathFunctions/arm_add_q31.c
--- a/cmsis_dsp/BasicMathFunctions/arm_add_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/BasicMathFunctions/arm_add_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_add_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/BasicMathFunctions/arm_add_q7.c
--- a/cmsis_dsp/BasicMathFunctions/arm_add_q7.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/BasicMathFunctions/arm_add_q7.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_add_q7.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/BasicMathFunctions/arm_dot_prod_f32.c
--- a/cmsis_dsp/BasicMathFunctions/arm_dot_prod_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/BasicMathFunctions/arm_dot_prod_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_dot_prod_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/BasicMathFunctions/arm_dot_prod_q15.c
--- a/cmsis_dsp/BasicMathFunctions/arm_dot_prod_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/BasicMathFunctions/arm_dot_prod_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_dot_prod_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/BasicMathFunctions/arm_dot_prod_q31.c
--- a/cmsis_dsp/BasicMathFunctions/arm_dot_prod_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/BasicMathFunctions/arm_dot_prod_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_dot_prod_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/BasicMathFunctions/arm_dot_prod_q7.c
--- a/cmsis_dsp/BasicMathFunctions/arm_dot_prod_q7.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/BasicMathFunctions/arm_dot_prod_q7.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_dot_prod_q7.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/BasicMathFunctions/arm_mult_f32.c
--- a/cmsis_dsp/BasicMathFunctions/arm_mult_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/BasicMathFunctions/arm_mult_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_mult_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/BasicMathFunctions/arm_mult_q15.c
--- a/cmsis_dsp/BasicMathFunctions/arm_mult_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/BasicMathFunctions/arm_mult_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. October 2015
+* $Revision: 	V.1.4.5 a
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_mult_q15.c    
@@ -118,7 +118,7 @@
     *__SIMD32(pDst)++ = __PKHBT(out2, out1, 16);
     *__SIMD32(pDst)++ = __PKHBT(out4, out3, 16);
 
-#endif //      #ifndef ARM_MATH_BIG_ENDIAN
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
 
     /* Decrement the blockSize loop counter */
     blkCnt--;

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/BasicMathFunctions/arm_mult_q31.c
--- a/cmsis_dsp/BasicMathFunctions/arm_mult_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/BasicMathFunctions/arm_mult_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_mult_q31.c    
@@ -118,6 +118,20 @@
   /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
    ** No loop unrolling is used. */
   blkCnt = blockSize % 0x4u;
+  
+  while(blkCnt > 0u)
+  {
+    /* C = A * B */
+    /* Multiply the inputs and then store the results in the destination buffer. */
+    inA1 = *pSrcA++;
+    inB1 = *pSrcB++;
+    out1 = ((q63_t) inA1 * inB1) >> 32;
+    out1 = __SSAT(out1, 31);
+    *pDst++ = out1 << 1u;
+
+    /* Decrement the blockSize loop counter */
+    blkCnt--;
+  }
 
 #else
 
@@ -126,7 +140,6 @@
   /* Initialize blkCnt with number of samples */
   blkCnt = blockSize;
 
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
 
   while(blkCnt > 0u)
   {
@@ -138,6 +151,8 @@
     /* Decrement the blockSize loop counter */
     blkCnt--;
   }
+  
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
 }
 
 /**    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/BasicMathFunctions/arm_mult_q7.c
--- a/cmsis_dsp/BasicMathFunctions/arm_mult_q7.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/BasicMathFunctions/arm_mult_q7.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_mult_q7.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/BasicMathFunctions/arm_negate_f32.c
--- a/cmsis_dsp/BasicMathFunctions/arm_negate_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/BasicMathFunctions/arm_negate_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_negate_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/BasicMathFunctions/arm_negate_q15.c
--- a/cmsis_dsp/BasicMathFunctions/arm_negate_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/BasicMathFunctions/arm_negate_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_negate_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/BasicMathFunctions/arm_negate_q31.c
--- a/cmsis_dsp/BasicMathFunctions/arm_negate_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/BasicMathFunctions/arm_negate_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_negate_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/BasicMathFunctions/arm_negate_q7.c
--- a/cmsis_dsp/BasicMathFunctions/arm_negate_q7.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/BasicMathFunctions/arm_negate_q7.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_negate_q7.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/BasicMathFunctions/arm_offset_f32.c
--- a/cmsis_dsp/BasicMathFunctions/arm_offset_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/BasicMathFunctions/arm_offset_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_offset_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/BasicMathFunctions/arm_offset_q15.c
--- a/cmsis_dsp/BasicMathFunctions/arm_offset_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/BasicMathFunctions/arm_offset_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_offset_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/BasicMathFunctions/arm_offset_q31.c
--- a/cmsis_dsp/BasicMathFunctions/arm_offset_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/BasicMathFunctions/arm_offset_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_offset_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/BasicMathFunctions/arm_offset_q7.c
--- a/cmsis_dsp/BasicMathFunctions/arm_offset_q7.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/BasicMathFunctions/arm_offset_q7.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_offset_q7.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/BasicMathFunctions/arm_scale_f32.c
--- a/cmsis_dsp/BasicMathFunctions/arm_scale_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/BasicMathFunctions/arm_scale_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_scale_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/BasicMathFunctions/arm_scale_q15.c
--- a/cmsis_dsp/BasicMathFunctions/arm_scale_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/BasicMathFunctions/arm_scale_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_scale_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/BasicMathFunctions/arm_scale_q31.c
--- a/cmsis_dsp/BasicMathFunctions/arm_scale_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/BasicMathFunctions/arm_scale_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_scale_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/BasicMathFunctions/arm_scale_q7.c
--- a/cmsis_dsp/BasicMathFunctions/arm_scale_q7.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/BasicMathFunctions/arm_scale_q7.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_scale_q7.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/BasicMathFunctions/arm_shift_q15.c
--- a/cmsis_dsp/BasicMathFunctions/arm_shift_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/BasicMathFunctions/arm_shift_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_shift_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/BasicMathFunctions/arm_shift_q31.c
--- a/cmsis_dsp/BasicMathFunctions/arm_shift_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/BasicMathFunctions/arm_shift_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_shift_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/BasicMathFunctions/arm_shift_q7.c
--- a/cmsis_dsp/BasicMathFunctions/arm_shift_q7.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/BasicMathFunctions/arm_shift_q7.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_shift_q7.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/BasicMathFunctions/arm_sub_f32.c
--- a/cmsis_dsp/BasicMathFunctions/arm_sub_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/BasicMathFunctions/arm_sub_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_sub_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/BasicMathFunctions/arm_sub_q15.c
--- a/cmsis_dsp/BasicMathFunctions/arm_sub_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/BasicMathFunctions/arm_sub_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_sub_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/BasicMathFunctions/arm_sub_q31.c
--- a/cmsis_dsp/BasicMathFunctions/arm_sub_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/BasicMathFunctions/arm_sub_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_sub_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/BasicMathFunctions/arm_sub_q7.c
--- a/cmsis_dsp/BasicMathFunctions/arm_sub_q7.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/BasicMathFunctions/arm_sub_q7.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_sub_q7.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/CommonTables/arm_common_tables.c
--- a/cmsis_dsp/CommonTables/arm_common_tables.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/CommonTables/arm_common_tables.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013  
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_common_tables.c    
@@ -78,153 +78,109 @@
 * @brief  Table for bit reversal process    
 */
 const uint16_t armBitRevTable[1024] = {
-  0x400, 0x200, 0x600, 0x100, 0x500, 0x300, 0x700,
-  0x80, 0x480, 0x280, 0x680, 0x180, 0x580, 0x380,
-  0x780, 0x40, 0x440, 0x240, 0x640, 0x140, 0x540,
-  0x340, 0x740, 0xc0, 0x4c0, 0x2c0, 0x6c0, 0x1c0,
-  0x5c0, 0x3c0, 0x7c0, 0x20, 0x420, 0x220, 0x620,
-  0x120, 0x520, 0x320, 0x720, 0xa0, 0x4a0, 0x2a0,
-  0x6a0, 0x1a0, 0x5a0, 0x3a0, 0x7a0, 0x60, 0x460,
-  0x260, 0x660, 0x160, 0x560, 0x360, 0x760, 0xe0,
-  0x4e0, 0x2e0, 0x6e0, 0x1e0, 0x5e0, 0x3e0, 0x7e0,
-  0x10, 0x410, 0x210, 0x610, 0x110, 0x510, 0x310,
-  0x710, 0x90, 0x490, 0x290, 0x690, 0x190, 0x590,
-  0x390, 0x790, 0x50, 0x450, 0x250, 0x650, 0x150,
-  0x550, 0x350, 0x750, 0xd0, 0x4d0, 0x2d0, 0x6d0,
-  0x1d0, 0x5d0, 0x3d0, 0x7d0, 0x30, 0x430, 0x230,
-  0x630, 0x130, 0x530, 0x330, 0x730, 0xb0, 0x4b0,
-  0x2b0, 0x6b0, 0x1b0, 0x5b0, 0x3b0, 0x7b0, 0x70,
-  0x470, 0x270, 0x670, 0x170, 0x570, 0x370, 0x770,
-  0xf0, 0x4f0, 0x2f0, 0x6f0, 0x1f0, 0x5f0, 0x3f0,
-  0x7f0, 0x8, 0x408, 0x208, 0x608, 0x108, 0x508,
-  0x308, 0x708, 0x88, 0x488, 0x288, 0x688, 0x188,
-  0x588, 0x388, 0x788, 0x48, 0x448, 0x248, 0x648,
-  0x148, 0x548, 0x348, 0x748, 0xc8, 0x4c8, 0x2c8,
-  0x6c8, 0x1c8, 0x5c8, 0x3c8, 0x7c8, 0x28, 0x428,
-  0x228, 0x628, 0x128, 0x528, 0x328, 0x728, 0xa8,
-  0x4a8, 0x2a8, 0x6a8, 0x1a8, 0x5a8, 0x3a8, 0x7a8,
-  0x68, 0x468, 0x268, 0x668, 0x168, 0x568, 0x368,
-  0x768, 0xe8, 0x4e8, 0x2e8, 0x6e8, 0x1e8, 0x5e8,
-  0x3e8, 0x7e8, 0x18, 0x418, 0x218, 0x618, 0x118,
-  0x518, 0x318, 0x718, 0x98, 0x498, 0x298, 0x698,
-  0x198, 0x598, 0x398, 0x798, 0x58, 0x458, 0x258,
-  0x658, 0x158, 0x558, 0x358, 0x758, 0xd8, 0x4d8,
-  0x2d8, 0x6d8, 0x1d8, 0x5d8, 0x3d8, 0x7d8, 0x38,
-  0x438, 0x238, 0x638, 0x138, 0x538, 0x338, 0x738,
-  0xb8, 0x4b8, 0x2b8, 0x6b8, 0x1b8, 0x5b8, 0x3b8,
-  0x7b8, 0x78, 0x478, 0x278, 0x678, 0x178, 0x578,
-  0x378, 0x778, 0xf8, 0x4f8, 0x2f8, 0x6f8, 0x1f8,
-  0x5f8, 0x3f8, 0x7f8, 0x4, 0x404, 0x204, 0x604,
-  0x104, 0x504, 0x304, 0x704, 0x84, 0x484, 0x284,
-  0x684, 0x184, 0x584, 0x384, 0x784, 0x44, 0x444,
-  0x244, 0x644, 0x144, 0x544, 0x344, 0x744, 0xc4,
-  0x4c4, 0x2c4, 0x6c4, 0x1c4, 0x5c4, 0x3c4, 0x7c4,
-  0x24, 0x424, 0x224, 0x624, 0x124, 0x524, 0x324,
-  0x724, 0xa4, 0x4a4, 0x2a4, 0x6a4, 0x1a4, 0x5a4,
-  0x3a4, 0x7a4, 0x64, 0x464, 0x264, 0x664, 0x164,
-  0x564, 0x364, 0x764, 0xe4, 0x4e4, 0x2e4, 0x6e4,
-  0x1e4, 0x5e4, 0x3e4, 0x7e4, 0x14, 0x414, 0x214,
-  0x614, 0x114, 0x514, 0x314, 0x714, 0x94, 0x494,
-  0x294, 0x694, 0x194, 0x594, 0x394, 0x794, 0x54,
-  0x454, 0x254, 0x654, 0x154, 0x554, 0x354, 0x754,
-  0xd4, 0x4d4, 0x2d4, 0x6d4, 0x1d4, 0x5d4, 0x3d4,
-  0x7d4, 0x34, 0x434, 0x234, 0x634, 0x134, 0x534,
-  0x334, 0x734, 0xb4, 0x4b4, 0x2b4, 0x6b4, 0x1b4,
-  0x5b4, 0x3b4, 0x7b4, 0x74, 0x474, 0x274, 0x674,
-  0x174, 0x574, 0x374, 0x774, 0xf4, 0x4f4, 0x2f4,
-  0x6f4, 0x1f4, 0x5f4, 0x3f4, 0x7f4, 0xc, 0x40c,
-  0x20c, 0x60c, 0x10c, 0x50c, 0x30c, 0x70c, 0x8c,
-  0x48c, 0x28c, 0x68c, 0x18c, 0x58c, 0x38c, 0x78c,
-  0x4c, 0x44c, 0x24c, 0x64c, 0x14c, 0x54c, 0x34c,
-  0x74c, 0xcc, 0x4cc, 0x2cc, 0x6cc, 0x1cc, 0x5cc,
-  0x3cc, 0x7cc, 0x2c, 0x42c, 0x22c, 0x62c, 0x12c,
-  0x52c, 0x32c, 0x72c, 0xac, 0x4ac, 0x2ac, 0x6ac,
-  0x1ac, 0x5ac, 0x3ac, 0x7ac, 0x6c, 0x46c, 0x26c,
-  0x66c, 0x16c, 0x56c, 0x36c, 0x76c, 0xec, 0x4ec,
-  0x2ec, 0x6ec, 0x1ec, 0x5ec, 0x3ec, 0x7ec, 0x1c,
-  0x41c, 0x21c, 0x61c, 0x11c, 0x51c, 0x31c, 0x71c,
-  0x9c, 0x49c, 0x29c, 0x69c, 0x19c, 0x59c, 0x39c,
-  0x79c, 0x5c, 0x45c, 0x25c, 0x65c, 0x15c, 0x55c,
-  0x35c, 0x75c, 0xdc, 0x4dc, 0x2dc, 0x6dc, 0x1dc,
-  0x5dc, 0x3dc, 0x7dc, 0x3c, 0x43c, 0x23c, 0x63c,
-  0x13c, 0x53c, 0x33c, 0x73c, 0xbc, 0x4bc, 0x2bc,
-  0x6bc, 0x1bc, 0x5bc, 0x3bc, 0x7bc, 0x7c, 0x47c,
-  0x27c, 0x67c, 0x17c, 0x57c, 0x37c, 0x77c, 0xfc,
-  0x4fc, 0x2fc, 0x6fc, 0x1fc, 0x5fc, 0x3fc, 0x7fc,
-  0x2, 0x402, 0x202, 0x602, 0x102, 0x502, 0x302,
-  0x702, 0x82, 0x482, 0x282, 0x682, 0x182, 0x582,
-  0x382, 0x782, 0x42, 0x442, 0x242, 0x642, 0x142,
-  0x542, 0x342, 0x742, 0xc2, 0x4c2, 0x2c2, 0x6c2,
-  0x1c2, 0x5c2, 0x3c2, 0x7c2, 0x22, 0x422, 0x222,
-  0x622, 0x122, 0x522, 0x322, 0x722, 0xa2, 0x4a2,
-  0x2a2, 0x6a2, 0x1a2, 0x5a2, 0x3a2, 0x7a2, 0x62,
-  0x462, 0x262, 0x662, 0x162, 0x562, 0x362, 0x762,
-  0xe2, 0x4e2, 0x2e2, 0x6e2, 0x1e2, 0x5e2, 0x3e2,
-  0x7e2, 0x12, 0x412, 0x212, 0x612, 0x112, 0x512,
-  0x312, 0x712, 0x92, 0x492, 0x292, 0x692, 0x192,
-  0x592, 0x392, 0x792, 0x52, 0x452, 0x252, 0x652,
-  0x152, 0x552, 0x352, 0x752, 0xd2, 0x4d2, 0x2d2,
-  0x6d2, 0x1d2, 0x5d2, 0x3d2, 0x7d2, 0x32, 0x432,
-  0x232, 0x632, 0x132, 0x532, 0x332, 0x732, 0xb2,
-  0x4b2, 0x2b2, 0x6b2, 0x1b2, 0x5b2, 0x3b2, 0x7b2,
-  0x72, 0x472, 0x272, 0x672, 0x172, 0x572, 0x372,
-  0x772, 0xf2, 0x4f2, 0x2f2, 0x6f2, 0x1f2, 0x5f2,
-  0x3f2, 0x7f2, 0xa, 0x40a, 0x20a, 0x60a, 0x10a,
-  0x50a, 0x30a, 0x70a, 0x8a, 0x48a, 0x28a, 0x68a,
-  0x18a, 0x58a, 0x38a, 0x78a, 0x4a, 0x44a, 0x24a,
-  0x64a, 0x14a, 0x54a, 0x34a, 0x74a, 0xca, 0x4ca,
-  0x2ca, 0x6ca, 0x1ca, 0x5ca, 0x3ca, 0x7ca, 0x2a,
-  0x42a, 0x22a, 0x62a, 0x12a, 0x52a, 0x32a, 0x72a,
-  0xaa, 0x4aa, 0x2aa, 0x6aa, 0x1aa, 0x5aa, 0x3aa,
-  0x7aa, 0x6a, 0x46a, 0x26a, 0x66a, 0x16a, 0x56a,
-  0x36a, 0x76a, 0xea, 0x4ea, 0x2ea, 0x6ea, 0x1ea,
-  0x5ea, 0x3ea, 0x7ea, 0x1a, 0x41a, 0x21a, 0x61a,
-  0x11a, 0x51a, 0x31a, 0x71a, 0x9a, 0x49a, 0x29a,
-  0x69a, 0x19a, 0x59a, 0x39a, 0x79a, 0x5a, 0x45a,
-  0x25a, 0x65a, 0x15a, 0x55a, 0x35a, 0x75a, 0xda,
-  0x4da, 0x2da, 0x6da, 0x1da, 0x5da, 0x3da, 0x7da,
-  0x3a, 0x43a, 0x23a, 0x63a, 0x13a, 0x53a, 0x33a,
-  0x73a, 0xba, 0x4ba, 0x2ba, 0x6ba, 0x1ba, 0x5ba,
-  0x3ba, 0x7ba, 0x7a, 0x47a, 0x27a, 0x67a, 0x17a,
-  0x57a, 0x37a, 0x77a, 0xfa, 0x4fa, 0x2fa, 0x6fa,
-  0x1fa, 0x5fa, 0x3fa, 0x7fa, 0x6, 0x406, 0x206,
-  0x606, 0x106, 0x506, 0x306, 0x706, 0x86, 0x486,
-  0x286, 0x686, 0x186, 0x586, 0x386, 0x786, 0x46,
-  0x446, 0x246, 0x646, 0x146, 0x546, 0x346, 0x746,
-  0xc6, 0x4c6, 0x2c6, 0x6c6, 0x1c6, 0x5c6, 0x3c6,
-  0x7c6, 0x26, 0x426, 0x226, 0x626, 0x126, 0x526,
-  0x326, 0x726, 0xa6, 0x4a6, 0x2a6, 0x6a6, 0x1a6,
-  0x5a6, 0x3a6, 0x7a6, 0x66, 0x466, 0x266, 0x666,
-  0x166, 0x566, 0x366, 0x766, 0xe6, 0x4e6, 0x2e6,
-  0x6e6, 0x1e6, 0x5e6, 0x3e6, 0x7e6, 0x16, 0x416,
-  0x216, 0x616, 0x116, 0x516, 0x316, 0x716, 0x96,
-  0x496, 0x296, 0x696, 0x196, 0x596, 0x396, 0x796,
-  0x56, 0x456, 0x256, 0x656, 0x156, 0x556, 0x356,
-  0x756, 0xd6, 0x4d6, 0x2d6, 0x6d6, 0x1d6, 0x5d6,
-  0x3d6, 0x7d6, 0x36, 0x436, 0x236, 0x636, 0x136,
-  0x536, 0x336, 0x736, 0xb6, 0x4b6, 0x2b6, 0x6b6,
-  0x1b6, 0x5b6, 0x3b6, 0x7b6, 0x76, 0x476, 0x276,
-  0x676, 0x176, 0x576, 0x376, 0x776, 0xf6, 0x4f6,
-  0x2f6, 0x6f6, 0x1f6, 0x5f6, 0x3f6, 0x7f6, 0xe,
-  0x40e, 0x20e, 0x60e, 0x10e, 0x50e, 0x30e, 0x70e,
-  0x8e, 0x48e, 0x28e, 0x68e, 0x18e, 0x58e, 0x38e,
-  0x78e, 0x4e, 0x44e, 0x24e, 0x64e, 0x14e, 0x54e,
-  0x34e, 0x74e, 0xce, 0x4ce, 0x2ce, 0x6ce, 0x1ce,
-  0x5ce, 0x3ce, 0x7ce, 0x2e, 0x42e, 0x22e, 0x62e,
-  0x12e, 0x52e, 0x32e, 0x72e, 0xae, 0x4ae, 0x2ae,
-  0x6ae, 0x1ae, 0x5ae, 0x3ae, 0x7ae, 0x6e, 0x46e,
-  0x26e, 0x66e, 0x16e, 0x56e, 0x36e, 0x76e, 0xee,
-  0x4ee, 0x2ee, 0x6ee, 0x1ee, 0x5ee, 0x3ee, 0x7ee,
-  0x1e, 0x41e, 0x21e, 0x61e, 0x11e, 0x51e, 0x31e,
-  0x71e, 0x9e, 0x49e, 0x29e, 0x69e, 0x19e, 0x59e,
-  0x39e, 0x79e, 0x5e, 0x45e, 0x25e, 0x65e, 0x15e,
-  0x55e, 0x35e, 0x75e, 0xde, 0x4de, 0x2de, 0x6de,
-  0x1de, 0x5de, 0x3de, 0x7de, 0x3e, 0x43e, 0x23e,
-  0x63e, 0x13e, 0x53e, 0x33e, 0x73e, 0xbe, 0x4be,
-  0x2be, 0x6be, 0x1be, 0x5be, 0x3be, 0x7be, 0x7e,
-  0x47e, 0x27e, 0x67e, 0x17e, 0x57e, 0x37e, 0x77e,
-  0xfe, 0x4fe, 0x2fe, 0x6fe, 0x1fe, 0x5fe, 0x3fe,
-  0x7fe, 0x1
+   0x400, 0x200, 0x600, 0x100, 0x500, 0x300, 0x700, 0x80, 0x480, 0x280, 
+   0x680, 0x180, 0x580, 0x380, 0x780, 0x40, 0x440, 0x240, 0x640, 0x140, 
+   0x540, 0x340, 0x740, 0xc0, 0x4c0, 0x2c0, 0x6c0, 0x1c0, 0x5c0, 0x3c0, 
+   0x7c0, 0x20, 0x420, 0x220, 0x620, 0x120, 0x520, 0x320, 0x720, 0xa0, 
+   0x4a0, 0x2a0, 0x6a0, 0x1a0, 0x5a0, 0x3a0, 0x7a0, 0x60, 0x460, 0x260, 
+   0x660, 0x160, 0x560, 0x360, 0x760, 0xe0, 0x4e0, 0x2e0, 0x6e0, 0x1e0, 
+   0x5e0, 0x3e0, 0x7e0, 0x10, 0x410, 0x210, 0x610, 0x110, 0x510, 0x310, 
+   0x710, 0x90, 0x490, 0x290, 0x690, 0x190, 0x590, 0x390, 0x790, 0x50, 
+   0x450, 0x250, 0x650, 0x150, 0x550, 0x350, 0x750, 0xd0, 0x4d0, 0x2d0, 
+   0x6d0, 0x1d0, 0x5d0, 0x3d0, 0x7d0, 0x30, 0x430, 0x230, 0x630, 0x130, 
+   0x530, 0x330, 0x730, 0xb0, 0x4b0, 0x2b0, 0x6b0, 0x1b0, 0x5b0, 0x3b0, 
+   0x7b0, 0x70, 0x470, 0x270, 0x670, 0x170, 0x570, 0x370, 0x770, 0xf0, 
+   0x4f0, 0x2f0, 0x6f0, 0x1f0, 0x5f0, 0x3f0, 0x7f0, 0x8, 0x408, 0x208, 
+   0x608, 0x108, 0x508, 0x308, 0x708, 0x88, 0x488, 0x288, 0x688, 0x188, 
+   0x588, 0x388, 0x788, 0x48, 0x448, 0x248, 0x648, 0x148, 0x548, 0x348, 
+   0x748, 0xc8, 0x4c8, 0x2c8, 0x6c8, 0x1c8, 0x5c8, 0x3c8, 0x7c8, 0x28, 
+   0x428, 0x228, 0x628, 0x128, 0x528, 0x328, 0x728, 0xa8, 0x4a8, 0x2a8, 
+   0x6a8, 0x1a8, 0x5a8, 0x3a8, 0x7a8, 0x68, 0x468, 0x268, 0x668, 0x168, 
+   0x568, 0x368, 0x768, 0xe8, 0x4e8, 0x2e8, 0x6e8, 0x1e8, 0x5e8, 0x3e8, 
+   0x7e8, 0x18, 0x418, 0x218, 0x618, 0x118, 0x518, 0x318, 0x718, 0x98, 
+   0x498, 0x298, 0x698, 0x198, 0x598, 0x398, 0x798, 0x58, 0x458, 0x258, 
+   0x658, 0x158, 0x558, 0x358, 0x758, 0xd8, 0x4d8, 0x2d8, 0x6d8, 0x1d8, 
+   0x5d8, 0x3d8, 0x7d8, 0x38, 0x438, 0x238, 0x638, 0x138, 0x538, 0x338, 
+   0x738, 0xb8, 0x4b8, 0x2b8, 0x6b8, 0x1b8, 0x5b8, 0x3b8, 0x7b8, 0x78, 
+   0x478, 0x278, 0x678, 0x178, 0x578, 0x378, 0x778, 0xf8, 0x4f8, 0x2f8, 
+   0x6f8, 0x1f8, 0x5f8, 0x3f8, 0x7f8, 0x4, 0x404, 0x204, 0x604, 0x104, 
+   0x504, 0x304, 0x704, 0x84, 0x484, 0x284, 0x684, 0x184, 0x584, 0x384, 
+   0x784, 0x44, 0x444, 0x244, 0x644, 0x144, 0x544, 0x344, 0x744, 0xc4, 
+   0x4c4, 0x2c4, 0x6c4, 0x1c4, 0x5c4, 0x3c4, 0x7c4, 0x24, 0x424, 0x224, 
+   0x624, 0x124, 0x524, 0x324, 0x724, 0xa4, 0x4a4, 0x2a4, 0x6a4, 0x1a4, 
+   0x5a4, 0x3a4, 0x7a4, 0x64, 0x464, 0x264, 0x664, 0x164, 0x564, 0x364, 
+   0x764, 0xe4, 0x4e4, 0x2e4, 0x6e4, 0x1e4, 0x5e4, 0x3e4, 0x7e4, 0x14, 
+   0x414, 0x214, 0x614, 0x114, 0x514, 0x314, 0x714, 0x94, 0x494, 0x294, 
+   0x694, 0x194, 0x594, 0x394, 0x794, 0x54, 0x454, 0x254, 0x654, 0x154, 
+   0x554, 0x354, 0x754, 0xd4, 0x4d4, 0x2d4, 0x6d4, 0x1d4, 0x5d4, 0x3d4, 
+   0x7d4, 0x34, 0x434, 0x234, 0x634, 0x134, 0x534, 0x334, 0x734, 0xb4, 
+   0x4b4, 0x2b4, 0x6b4, 0x1b4, 0x5b4, 0x3b4, 0x7b4, 0x74, 0x474, 0x274, 
+   0x674, 0x174, 0x574, 0x374, 0x774, 0xf4, 0x4f4, 0x2f4, 0x6f4, 0x1f4, 
+   0x5f4, 0x3f4, 0x7f4, 0xc, 0x40c, 0x20c, 0x60c, 0x10c, 0x50c, 0x30c, 
+   0x70c, 0x8c, 0x48c, 0x28c, 0x68c, 0x18c, 0x58c, 0x38c, 0x78c, 0x4c, 
+   0x44c, 0x24c, 0x64c, 0x14c, 0x54c, 0x34c, 0x74c, 0xcc, 0x4cc, 0x2cc, 
+   0x6cc, 0x1cc, 0x5cc, 0x3cc, 0x7cc, 0x2c, 0x42c, 0x22c, 0x62c, 0x12c, 
+   0x52c, 0x32c, 0x72c, 0xac, 0x4ac, 0x2ac, 0x6ac, 0x1ac, 0x5ac, 0x3ac, 
+   0x7ac, 0x6c, 0x46c, 0x26c, 0x66c, 0x16c, 0x56c, 0x36c, 0x76c, 0xec, 
+   0x4ec, 0x2ec, 0x6ec, 0x1ec, 0x5ec, 0x3ec, 0x7ec, 0x1c, 0x41c, 0x21c, 
+   0x61c, 0x11c, 0x51c, 0x31c, 0x71c, 0x9c, 0x49c, 0x29c, 0x69c, 0x19c, 
+   0x59c, 0x39c, 0x79c, 0x5c, 0x45c, 0x25c, 0x65c, 0x15c, 0x55c, 0x35c, 
+   0x75c, 0xdc, 0x4dc, 0x2dc, 0x6dc, 0x1dc, 0x5dc, 0x3dc, 0x7dc, 0x3c, 
+   0x43c, 0x23c, 0x63c, 0x13c, 0x53c, 0x33c, 0x73c, 0xbc, 0x4bc, 0x2bc, 
+   0x6bc, 0x1bc, 0x5bc, 0x3bc, 0x7bc, 0x7c, 0x47c, 0x27c, 0x67c, 0x17c, 
+   0x57c, 0x37c, 0x77c, 0xfc, 0x4fc, 0x2fc, 0x6fc, 0x1fc, 0x5fc, 0x3fc, 
+   0x7fc, 0x2, 0x402, 0x202, 0x602, 0x102, 0x502, 0x302, 0x702, 0x82, 
+   0x482, 0x282, 0x682, 0x182, 0x582, 0x382, 0x782, 0x42, 0x442, 0x242, 
+   0x642, 0x142, 0x542, 0x342, 0x742, 0xc2, 0x4c2, 0x2c2, 0x6c2, 0x1c2, 
+   0x5c2, 0x3c2, 0x7c2, 0x22, 0x422, 0x222, 0x622, 0x122, 0x522, 0x322, 
+   0x722, 0xa2, 0x4a2, 0x2a2, 0x6a2, 0x1a2, 0x5a2, 0x3a2, 0x7a2, 0x62, 
+   0x462, 0x262, 0x662, 0x162, 0x562, 0x362, 0x762, 0xe2, 0x4e2, 0x2e2, 
+   0x6e2, 0x1e2, 0x5e2, 0x3e2, 0x7e2, 0x12, 0x412, 0x212, 0x612, 0x112, 
+   0x512, 0x312, 0x712, 0x92, 0x492, 0x292, 0x692, 0x192, 0x592, 0x392, 
+   0x792, 0x52, 0x452, 0x252, 0x652, 0x152, 0x552, 0x352, 0x752, 0xd2, 
+   0x4d2, 0x2d2, 0x6d2, 0x1d2, 0x5d2, 0x3d2, 0x7d2, 0x32, 0x432, 0x232, 
+   0x632, 0x132, 0x532, 0x332, 0x732, 0xb2, 0x4b2, 0x2b2, 0x6b2, 0x1b2, 
+   0x5b2, 0x3b2, 0x7b2, 0x72, 0x472, 0x272, 0x672, 0x172, 0x572, 0x372, 
+   0x772, 0xf2, 0x4f2, 0x2f2, 0x6f2, 0x1f2, 0x5f2, 0x3f2, 0x7f2, 0xa, 
+   0x40a, 0x20a, 0x60a, 0x10a, 0x50a, 0x30a, 0x70a, 0x8a, 0x48a, 0x28a, 
+   0x68a, 0x18a, 0x58a, 0x38a, 0x78a, 0x4a, 0x44a, 0x24a, 0x64a, 0x14a, 
+   0x54a, 0x34a, 0x74a, 0xca, 0x4ca, 0x2ca, 0x6ca, 0x1ca, 0x5ca, 0x3ca, 
+   0x7ca, 0x2a, 0x42a, 0x22a, 0x62a, 0x12a, 0x52a, 0x32a, 0x72a, 0xaa, 
+   0x4aa, 0x2aa, 0x6aa, 0x1aa, 0x5aa, 0x3aa, 0x7aa, 0x6a, 0x46a, 0x26a, 
+   0x66a, 0x16a, 0x56a, 0x36a, 0x76a, 0xea, 0x4ea, 0x2ea, 0x6ea, 0x1ea, 
+   0x5ea, 0x3ea, 0x7ea, 0x1a, 0x41a, 0x21a, 0x61a, 0x11a, 0x51a, 0x31a, 
+   0x71a, 0x9a, 0x49a, 0x29a, 0x69a, 0x19a, 0x59a, 0x39a, 0x79a, 0x5a, 
+   0x45a, 0x25a, 0x65a, 0x15a, 0x55a, 0x35a, 0x75a, 0xda, 0x4da, 0x2da, 
+   0x6da, 0x1da, 0x5da, 0x3da, 0x7da, 0x3a, 0x43a, 0x23a, 0x63a, 0x13a, 
+   0x53a, 0x33a, 0x73a, 0xba, 0x4ba, 0x2ba, 0x6ba, 0x1ba, 0x5ba, 0x3ba, 
+   0x7ba, 0x7a, 0x47a, 0x27a, 0x67a, 0x17a, 0x57a, 0x37a, 0x77a, 0xfa, 
+   0x4fa, 0x2fa, 0x6fa, 0x1fa, 0x5fa, 0x3fa, 0x7fa, 0x6, 0x406, 0x206, 
+   0x606, 0x106, 0x506, 0x306, 0x706, 0x86, 0x486, 0x286, 0x686, 0x186, 
+   0x586, 0x386, 0x786, 0x46, 0x446, 0x246, 0x646, 0x146, 0x546, 0x346, 
+   0x746, 0xc6, 0x4c6, 0x2c6, 0x6c6, 0x1c6, 0x5c6, 0x3c6, 0x7c6, 0x26, 
+   0x426, 0x226, 0x626, 0x126, 0x526, 0x326, 0x726, 0xa6, 0x4a6, 0x2a6, 
+   0x6a6, 0x1a6, 0x5a6, 0x3a6, 0x7a6, 0x66, 0x466, 0x266, 0x666, 0x166, 
+   0x566, 0x366, 0x766, 0xe6, 0x4e6, 0x2e6, 0x6e6, 0x1e6, 0x5e6, 0x3e6, 
+   0x7e6, 0x16, 0x416, 0x216, 0x616, 0x116, 0x516, 0x316, 0x716, 0x96, 
+   0x496, 0x296, 0x696, 0x196, 0x596, 0x396, 0x796, 0x56, 0x456, 0x256, 
+   0x656, 0x156, 0x556, 0x356, 0x756, 0xd6, 0x4d6, 0x2d6, 0x6d6, 0x1d6, 
+   0x5d6, 0x3d6, 0x7d6, 0x36, 0x436, 0x236, 0x636, 0x136, 0x536, 0x336, 
+   0x736, 0xb6, 0x4b6, 0x2b6, 0x6b6, 0x1b6, 0x5b6, 0x3b6, 0x7b6, 0x76, 
+   0x476, 0x276, 0x676, 0x176, 0x576, 0x376, 0x776, 0xf6, 0x4f6, 0x2f6, 
+   0x6f6, 0x1f6, 0x5f6, 0x3f6, 0x7f6, 0xe, 0x40e, 0x20e, 0x60e, 0x10e, 
+   0x50e, 0x30e, 0x70e, 0x8e, 0x48e, 0x28e, 0x68e, 0x18e, 0x58e, 0x38e, 
+   0x78e, 0x4e, 0x44e, 0x24e, 0x64e, 0x14e, 0x54e, 0x34e, 0x74e, 0xce, 
+   0x4ce, 0x2ce, 0x6ce, 0x1ce, 0x5ce, 0x3ce, 0x7ce, 0x2e, 0x42e, 0x22e, 
+   0x62e, 0x12e, 0x52e, 0x32e, 0x72e, 0xae, 0x4ae, 0x2ae, 0x6ae, 0x1ae, 
+   0x5ae, 0x3ae, 0x7ae, 0x6e, 0x46e, 0x26e, 0x66e, 0x16e, 0x56e, 0x36e, 
+   0x76e, 0xee, 0x4ee, 0x2ee, 0x6ee, 0x1ee, 0x5ee, 0x3ee, 0x7ee, 0x1e, 
+   0x41e, 0x21e, 0x61e, 0x11e, 0x51e, 0x31e, 0x71e, 0x9e, 0x49e, 0x29e, 
+   0x69e, 0x19e, 0x59e, 0x39e, 0x79e, 0x5e, 0x45e, 0x25e, 0x65e, 0x15e, 
+   0x55e, 0x35e, 0x75e, 0xde, 0x4de, 0x2de, 0x6de, 0x1de, 0x5de, 0x3de, 
+   0x7de, 0x3e, 0x43e, 0x23e, 0x63e, 0x13e, 0x53e, 0x33e, 0x73e, 0xbe, 
+   0x4be, 0x2be, 0x6be, 0x1be, 0x5be, 0x3be, 0x7be, 0x7e, 0x47e, 0x27e, 
+   0x67e, 0x17e, 0x57e, 0x37e, 0x77e, 0xfe, 0x4fe, 0x2fe, 0x6fe, 0x1fe, 
+   0x5fe, 0x3fe, 0x7fe, 0x1 
 };
 
 
@@ -242,7 +198,7 @@
 *	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
 * } </pre>    
 * \par    
-* where N = 4096	and PI = 3.14159265358979    
+* where N = 16	and PI = 3.14159265358979    
 * \par    
 * Cos and Sin values are in interleaved fashion    
 *     
@@ -276,7 +232,7 @@
 *	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
 * } </pre>    
 * \par    
-* where N = 4096	and PI = 3.14159265358979    
+* where N = 32	and PI = 3.14159265358979    
 * \par    
 * Cos and Sin values are in interleaved fashion    
 *     
@@ -326,7 +282,7 @@
 *	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
 * } </pre>    
 * \par    
-* where N = 4096	and PI = 3.14159265358979    
+* where N = 64	and PI = 3.14159265358979    
 * \par    
 * Cos and Sin values are in interleaved fashion    
 *     
@@ -408,141 +364,141 @@
 *	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
 * } </pre>    
 * \par    
-* where N = 4096	and PI = 3.14159265358979    
+* where N = 128	and PI = 3.14159265358979    
 * \par    
 * Cos and Sin values are in interleaved fashion    
 *     
 */
 
 const float32_t twiddleCoef_128[256] = {
-1.000000000f	,	0.000000000f	,
-0.998795456f	,	0.049067674f	,
-0.995184727f	,	0.098017140f	,
-0.989176510f	,	0.146730474f	,
-0.980785280f	,	0.195090322f	,
-0.970031253f	,	0.242980180f	,
-0.956940336f	,	0.290284677f	,
-0.941544065f	,	0.336889853f	,
-0.923879533f	,	0.382683432f	,
-0.903989293f	,	0.427555093f	,
-0.881921264f	,	0.471396737f	,
-0.857728610f	,	0.514102744f	,
-0.831469612f	,	0.555570233f	,
-0.803207531f	,	0.595699304f	,
-0.773010453f	,	0.634393284f	,
-0.740951125f	,	0.671558955f	,
-0.707106781f	,	0.707106781f	,
-0.671558955f	,	0.740951125f	,
-0.634393284f	,	0.773010453f	,
-0.595699304f	,	0.803207531f	,
-0.555570233f	,	0.831469612f	,
-0.514102744f	,	0.857728610f	,
-0.471396737f	,	0.881921264f	,
-0.427555093f	,	0.903989293f	,
-0.382683432f	,	0.923879533f	,
-0.336889853f	,	0.941544065f	,
-0.290284677f	,	0.956940336f	,
-0.242980180f	,	0.970031253f	,
-0.195090322f	,	0.980785280f	,
-0.146730474f	,	0.989176510f	,
-0.098017140f	,	0.995184727f	,
-0.049067674f	,	0.998795456f	,
-0.000000000f	,	1.000000000f	,
--0.049067674f	,	0.998795456f	,
--0.098017140f	,	0.995184727f	,
--0.146730474f	,	0.989176510f	,
--0.195090322f	,	0.980785280f	,
--0.242980180f	,	0.970031253f	,
--0.290284677f	,	0.956940336f	,
--0.336889853f	,	0.941544065f	,
--0.382683432f	,	0.923879533f	,
--0.427555093f	,	0.903989293f	,
--0.471396737f	,	0.881921264f	,
--0.514102744f	,	0.857728610f	,
--0.555570233f	,	0.831469612f	,
--0.595699304f	,	0.803207531f	,
--0.634393284f	,	0.773010453f	,
--0.671558955f	,	0.740951125f	,
--0.707106781f	,	0.707106781f	,
--0.740951125f	,	0.671558955f	,
--0.773010453f	,	0.634393284f	,
--0.803207531f	,	0.595699304f	,
--0.831469612f	,	0.555570233f	,
--0.857728610f	,	0.514102744f	,
--0.881921264f	,	0.471396737f	,
--0.903989293f	,	0.427555093f	,
--0.923879533f	,	0.382683432f	,
--0.941544065f	,	0.336889853f	,
--0.956940336f	,	0.290284677f	,
--0.970031253f	,	0.242980180f	,
--0.980785280f	,	0.195090322f	,
--0.989176510f	,	0.146730474f	,
--0.995184727f	,	0.098017140f	,
--0.998795456f	,	0.049067674f	,
--1.000000000f	,	0.000000000f	,
--0.998795456f	,	-0.049067674f	,
--0.995184727f	,	-0.098017140f	,
--0.989176510f	,	-0.146730474f	,
--0.980785280f	,	-0.195090322f	,
--0.970031253f	,	-0.242980180f	,
--0.956940336f	,	-0.290284677f	,
--0.941544065f	,	-0.336889853f	,
--0.923879533f	,	-0.382683432f	,
--0.903989293f	,	-0.427555093f	,
--0.881921264f	,	-0.471396737f	,
--0.857728610f	,	-0.514102744f	,
--0.831469612f	,	-0.555570233f	,
--0.803207531f	,	-0.595699304f	,
--0.773010453f	,	-0.634393284f	,
--0.740951125f	,	-0.671558955f	,
--0.707106781f	,	-0.707106781f	,
--0.671558955f	,	-0.740951125f	,
--0.634393284f	,	-0.773010453f	,
--0.595699304f	,	-0.803207531f	,
--0.555570233f	,	-0.831469612f	,
--0.514102744f	,	-0.857728610f	,
--0.471396737f	,	-0.881921264f	,
--0.427555093f	,	-0.903989293f	,
--0.382683432f	,	-0.923879533f	,
--0.336889853f	,	-0.941544065f	,
--0.290284677f	,	-0.956940336f	,
--0.242980180f	,	-0.970031253f	,
--0.195090322f	,	-0.980785280f	,
--0.146730474f	,	-0.989176510f	,
--0.098017140f	,	-0.995184727f	,
--0.049067674f	,	-0.998795456f	,
--0.000000000f	,	-1.000000000f	,
-0.049067674f	,	-0.998795456f	,
-0.098017140f	,	-0.995184727f	,
-0.146730474f	,	-0.989176510f	,
-0.195090322f	,	-0.980785280f	,
-0.242980180f	,	-0.970031253f	,
-0.290284677f	,	-0.956940336f	,
-0.336889853f	,	-0.941544065f	,
-0.382683432f	,	-0.923879533f	,
-0.427555093f	,	-0.903989293f	,
-0.471396737f	,	-0.881921264f	,
-0.514102744f	,	-0.857728610f	,
-0.555570233f	,	-0.831469612f	,
-0.595699304f	,	-0.803207531f	,
-0.634393284f	,	-0.773010453f	,
-0.671558955f	,	-0.740951125f	,
-0.707106781f	,	-0.707106781f	,
-0.740951125f	,	-0.671558955f	,
-0.773010453f	,	-0.634393284f	,
-0.803207531f	,	-0.595699304f	,
-0.831469612f	,	-0.555570233f	,
-0.857728610f	,	-0.514102744f	,
-0.881921264f	,	-0.471396737f	,
-0.903989293f	,	-0.427555093f	,
-0.923879533f	,	-0.382683432f	,
-0.941544065f	,	-0.336889853f	,
-0.956940336f	,	-0.290284677f	,
-0.970031253f	,	-0.242980180f	,
-0.980785280f	,	-0.195090322f	,
-0.989176510f	,	-0.146730474f	,
-0.995184727f	,	-0.098017140f	,
-0.998795456f	,	-0.049067674f
+    1.000000000f	,	0.000000000f	,
+    0.998795456f	,	0.049067674f	,
+    0.995184727f	,	0.098017140f	,
+    0.989176510f	,	0.146730474f	,
+    0.980785280f	,	0.195090322f	,
+    0.970031253f	,	0.242980180f	,
+    0.956940336f	,	0.290284677f	,
+    0.941544065f	,	0.336889853f	,
+    0.923879533f	,	0.382683432f	,
+    0.903989293f	,	0.427555093f	,
+    0.881921264f	,	0.471396737f	,
+    0.857728610f	,	0.514102744f	,
+    0.831469612f	,	0.555570233f	,
+    0.803207531f	,	0.595699304f	,
+    0.773010453f	,	0.634393284f	,
+    0.740951125f	,	0.671558955f	,
+    0.707106781f	,	0.707106781f	,
+    0.671558955f	,	0.740951125f	,
+    0.634393284f	,	0.773010453f	,
+    0.595699304f	,	0.803207531f	,
+    0.555570233f	,	0.831469612f	,
+    0.514102744f	,	0.857728610f	,
+    0.471396737f	,	0.881921264f	,
+    0.427555093f	,	0.903989293f	,
+    0.382683432f	,	0.923879533f	,
+    0.336889853f	,	0.941544065f	,
+    0.290284677f	,	0.956940336f	,
+    0.242980180f	,	0.970031253f	,
+    0.195090322f	,	0.980785280f	,
+    0.146730474f	,	0.989176510f	,
+    0.098017140f	,	0.995184727f	,
+    0.049067674f	,	0.998795456f	,
+    0.000000000f	,	1.000000000f	,
+    -0.049067674f	,	0.998795456f	,
+    -0.098017140f	,	0.995184727f	,
+    -0.146730474f	,	0.989176510f	,
+    -0.195090322f	,	0.980785280f	,
+    -0.242980180f	,	0.970031253f	,
+    -0.290284677f	,	0.956940336f	,
+    -0.336889853f	,	0.941544065f	,
+    -0.382683432f	,	0.923879533f	,
+    -0.427555093f	,	0.903989293f	,
+    -0.471396737f	,	0.881921264f	,
+    -0.514102744f	,	0.857728610f	,
+    -0.555570233f	,	0.831469612f	,
+    -0.595699304f	,	0.803207531f	,
+    -0.634393284f	,	0.773010453f	,
+    -0.671558955f	,	0.740951125f	,
+    -0.707106781f	,	0.707106781f	,
+    -0.740951125f	,	0.671558955f	,
+    -0.773010453f	,	0.634393284f	,
+    -0.803207531f	,	0.595699304f	,
+    -0.831469612f	,	0.555570233f	,
+    -0.857728610f	,	0.514102744f	,
+    -0.881921264f	,	0.471396737f	,
+    -0.903989293f	,	0.427555093f	,
+    -0.923879533f	,	0.382683432f	,
+    -0.941544065f	,	0.336889853f	,
+    -0.956940336f	,	0.290284677f	,
+    -0.970031253f	,	0.242980180f	,
+    -0.980785280f	,	0.195090322f	,
+    -0.989176510f	,	0.146730474f	,
+    -0.995184727f	,	0.098017140f	,
+    -0.998795456f	,	0.049067674f	,
+    -1.000000000f	,	0.000000000f	,
+    -0.998795456f	,	-0.049067674f	,
+    -0.995184727f	,	-0.098017140f	,
+    -0.989176510f	,	-0.146730474f	,
+    -0.980785280f	,	-0.195090322f	,
+    -0.970031253f	,	-0.242980180f	,
+    -0.956940336f	,	-0.290284677f	,
+    -0.941544065f	,	-0.336889853f	,
+    -0.923879533f	,	-0.382683432f	,
+    -0.903989293f	,	-0.427555093f	,
+    -0.881921264f	,	-0.471396737f	,
+    -0.857728610f	,	-0.514102744f	,
+    -0.831469612f	,	-0.555570233f	,
+    -0.803207531f	,	-0.595699304f	,
+    -0.773010453f	,	-0.634393284f	,
+    -0.740951125f	,	-0.671558955f	,
+    -0.707106781f	,	-0.707106781f	,
+    -0.671558955f	,	-0.740951125f	,
+    -0.634393284f	,	-0.773010453f	,
+    -0.595699304f	,	-0.803207531f	,
+    -0.555570233f	,	-0.831469612f	,
+    -0.514102744f	,	-0.857728610f	,
+    -0.471396737f	,	-0.881921264f	,
+    -0.427555093f	,	-0.903989293f	,
+    -0.382683432f	,	-0.923879533f	,
+    -0.336889853f	,	-0.941544065f	,
+    -0.290284677f	,	-0.956940336f	,
+    -0.242980180f	,	-0.970031253f	,
+    -0.195090322f	,	-0.980785280f	,
+    -0.146730474f	,	-0.989176510f	,
+    -0.098017140f	,	-0.995184727f	,
+    -0.049067674f	,	-0.998795456f	,
+    -0.000000000f	,	-1.000000000f	,
+    0.049067674f	,	-0.998795456f	,
+    0.098017140f	,	-0.995184727f	,
+    0.146730474f	,	-0.989176510f	,
+    0.195090322f	,	-0.980785280f	,
+    0.242980180f	,	-0.970031253f	,
+    0.290284677f	,	-0.956940336f	,
+    0.336889853f	,	-0.941544065f	,
+    0.382683432f	,	-0.923879533f	,
+    0.427555093f	,	-0.903989293f	,
+    0.471396737f	,	-0.881921264f	,
+    0.514102744f	,	-0.857728610f	,
+    0.555570233f	,	-0.831469612f	,
+    0.595699304f	,	-0.803207531f	,
+    0.634393284f	,	-0.773010453f	,
+    0.671558955f	,	-0.740951125f	,
+    0.707106781f	,	-0.707106781f	,
+    0.740951125f	,	-0.671558955f	,
+    0.773010453f	,	-0.634393284f	,
+    0.803207531f	,	-0.595699304f	,
+    0.831469612f	,	-0.555570233f	,
+    0.857728610f	,	-0.514102744f	,
+    0.881921264f	,	-0.471396737f	,
+    0.903989293f	,	-0.427555093f	,
+    0.923879533f	,	-0.382683432f	,
+    0.941544065f	,	-0.336889853f	,
+    0.956940336f	,	-0.290284677f	,
+    0.970031253f	,	-0.242980180f	,
+    0.980785280f	,	-0.195090322f	,
+    0.989176510f	,	-0.146730474f	,
+    0.995184727f	,	-0.098017140f	,
+    0.998795456f	,	-0.049067674f
 };
 
 /**    
@@ -555,7 +511,7 @@
 *	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
 * } </pre>    
 * \par    
-* where N = 4096	and PI = 3.14159265358979    
+* where N = 256	and PI = 3.14159265358979    
 * \par    
 * Cos and Sin values are in interleaved fashion    
 *     
@@ -829,7 +785,7 @@
 *	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
 * } </pre>    
 * \par    
-* where N = 4096	and PI = 3.14159265358979    
+* where N = 512	and PI = 3.14159265358979    
 * \par    
 * Cos and Sin values are in interleaved fashion    
 *     
@@ -1358,7 +1314,7 @@
 *	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
 * } </pre>    
 * \par    
-* where N = 4096	and PI = 3.14159265358979    
+* where N = 1024	and PI = 3.14159265358979    
 * \par    
 * Cos and Sin values are in interleaved fashion    
 *     
@@ -2400,7 +2356,7 @@
 *	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
 * } </pre>    
 * \par    
-* where N = 4096	and PI = 3.14159265358979    
+* where N = 2048	and PI = 3.14159265358979    
 * \par    
 * Cos and Sin values are in interleaved fashion    
 *     
@@ -8574,6 +8530,3235 @@
 * @brief  Q31 Twiddle factors Table    
 */
 
+
+/**    
+* \par   
+* Example code for Q31 Twiddle factors Generation::    
+* \par    
+* <pre>for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 16	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are interleaved fashion    
+* \par    
+* Convert Floating point to Q31(Fixed point 1.31):    
+*	round(twiddleCoefQ31(i) * pow(2, 31))    
+*    
+*/
+const q31_t twiddleCoef_16_q31[24] = {
+    0x7FFFFFFF, 0x00000000,
+    0x7641AF3C, 0x30FBC54D,
+    0x5A82799A, 0x5A82799A,
+    0x30FBC54D, 0x7641AF3C,
+    0x00000000, 0x7FFFFFFF,
+    0xCF043AB2, 0x7641AF3C,
+    0xA57D8666, 0x5A82799A,
+    0x89BE50C3, 0x30FBC54D,
+    0x80000000, 0x00000000,
+    0x89BE50C3, 0xCF043AB2,
+    0xA57D8666, 0xA57D8666,
+    0xCF043AB2, 0x89BE50C3
+};
+
+/**    
+* \par   
+* Example code for Q31 Twiddle factors Generation::    
+* \par    
+* <pre>for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 32	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are interleaved fashion    
+* \par    
+* Convert Floating point to Q31(Fixed point 1.31):    
+*	round(twiddleCoefQ31(i) * pow(2, 31))    
+*    
+*/
+const q31_t twiddleCoef_32_q31[48] = {
+    0x7FFFFFFF, 0x00000000,
+    0x7D8A5F3F, 0x18F8B83C,
+    0x7641AF3C, 0x30FBC54D,
+    0x6A6D98A4, 0x471CECE6,
+    0x5A82799A, 0x5A82799A,
+    0x471CECE6, 0x6A6D98A4,
+    0x30FBC54D, 0x7641AF3C,
+    0x18F8B83C, 0x7D8A5F3F,
+    0x00000000, 0x7FFFFFFF,
+    0xE70747C3, 0x7D8A5F3F,
+    0xCF043AB2, 0x7641AF3C,
+    0xB8E31319, 0x6A6D98A4,
+    0xA57D8666, 0x5A82799A,
+    0x9592675B, 0x471CECE6,
+    0x89BE50C3, 0x30FBC54D,
+    0x8275A0C0, 0x18F8B83C,
+    0x80000000, 0x00000000,
+    0x8275A0C0, 0xE70747C3,
+    0x89BE50C3, 0xCF043AB2,
+    0x9592675B, 0xB8E31319,
+    0xA57D8666, 0xA57D8666,
+    0xB8E31319, 0x9592675B,
+    0xCF043AB2, 0x89BE50C3,
+    0xE70747C3, 0x8275A0C0
+};
+
+/**    
+* \par   
+* Example code for Q31 Twiddle factors Generation::    
+* \par    
+* <pre>for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 64	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are interleaved fashion    
+* \par    
+* Convert Floating point to Q31(Fixed point 1.31):    
+*	round(twiddleCoefQ31(i) * pow(2, 31))    
+*    
+*/
+const q31_t twiddleCoef_64_q31[96] = {
+    0x7FFFFFFF, 0x00000000,
+    0x7F62368F, 0x0C8BD35E,
+    0x7D8A5F3F, 0x18F8B83C,
+    0x7A7D055B, 0x25280C5D,
+    0x7641AF3C, 0x30FBC54D,
+    0x70E2CBC6, 0x3C56BA70,
+    0x6A6D98A4, 0x471CECE6,
+    0x62F201AC, 0x5133CC94,
+    0x5A82799A, 0x5A82799A,
+    0x5133CC94, 0x62F201AC,
+    0x471CECE6, 0x6A6D98A4,
+    0x3C56BA70, 0x70E2CBC6,
+    0x30FBC54D, 0x7641AF3C,
+    0x25280C5D, 0x7A7D055B,
+    0x18F8B83C, 0x7D8A5F3F,
+    0x0C8BD35E, 0x7F62368F,
+    0x00000000, 0x7FFFFFFF,
+    0xF3742CA1, 0x7F62368F,
+    0xE70747C3, 0x7D8A5F3F,
+    0xDAD7F3A2, 0x7A7D055B,
+    0xCF043AB2, 0x7641AF3C,
+    0xC3A9458F, 0x70E2CBC6,
+    0xB8E31319, 0x6A6D98A4,
+    0xAECC336B, 0x62F201AC,
+    0xA57D8666, 0x5A82799A,
+    0x9D0DFE53, 0x5133CC94,
+    0x9592675B, 0x471CECE6,
+    0x8F1D343A, 0x3C56BA70,
+    0x89BE50C3, 0x30FBC54D,
+    0x8582FAA4, 0x25280C5D,
+    0x8275A0C0, 0x18F8B83C,
+    0x809DC970, 0x0C8BD35E,
+    0x80000000, 0x00000000,
+    0x809DC970, 0xF3742CA1,
+    0x8275A0C0, 0xE70747C3,
+    0x8582FAA4, 0xDAD7F3A2,
+    0x89BE50C3, 0xCF043AB2,
+    0x8F1D343A, 0xC3A9458F,
+    0x9592675B, 0xB8E31319,
+    0x9D0DFE53, 0xAECC336B,
+    0xA57D8666, 0xA57D8666,
+    0xAECC336B, 0x9D0DFE53,
+    0xB8E31319, 0x9592675B,
+    0xC3A9458F, 0x8F1D343A,
+    0xCF043AB2, 0x89BE50C3,
+    0xDAD7F3A2, 0x8582FAA4,
+    0xE70747C3, 0x8275A0C0,
+    0xF3742CA1, 0x809DC970
+};
+
+/**    
+* \par   
+* Example code for Q31 Twiddle factors Generation::    
+* \par    
+* <pre>for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 128	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are interleaved fashion    
+* \par    
+* Convert Floating point to Q31(Fixed point 1.31):    
+*	round(twiddleCoefQ31(i) * pow(2, 31))    
+*    
+*/
+const q31_t twiddleCoef_128_q31[192] = {
+    0x7FFFFFFF, 0x00000000,
+    0x7FD8878D, 0x0647D97C,
+    0x7F62368F, 0x0C8BD35E,
+    0x7E9D55FC, 0x12C8106E,
+    0x7D8A5F3F, 0x18F8B83C,
+    0x7C29FBEE, 0x1F19F97B,
+    0x7A7D055B, 0x25280C5D,
+    0x78848413, 0x2B1F34EB,
+    0x7641AF3C, 0x30FBC54D,
+    0x73B5EBD0, 0x36BA2013,
+    0x70E2CBC6, 0x3C56BA70,
+    0x6DCA0D14, 0x41CE1E64,
+    0x6A6D98A4, 0x471CECE6,
+    0x66CF811F, 0x4C3FDFF3,
+    0x62F201AC, 0x5133CC94,
+    0x5ED77C89, 0x55F5A4D2,
+    0x5A82799A, 0x5A82799A,
+    0x55F5A4D2, 0x5ED77C89,
+    0x5133CC94, 0x62F201AC,
+    0x4C3FDFF3, 0x66CF811F,
+    0x471CECE6, 0x6A6D98A4,
+    0x41CE1E64, 0x6DCA0D14,
+    0x3C56BA70, 0x70E2CBC6,
+    0x36BA2013, 0x73B5EBD0,
+    0x30FBC54D, 0x7641AF3C,
+    0x2B1F34EB, 0x78848413,
+    0x25280C5D, 0x7A7D055B,
+    0x1F19F97B, 0x7C29FBEE,
+    0x18F8B83C, 0x7D8A5F3F,
+    0x12C8106E, 0x7E9D55FC,
+    0x0C8BD35E, 0x7F62368F,
+    0x0647D97C, 0x7FD8878D,
+    0x00000000, 0x7FFFFFFF,
+    0xF9B82683, 0x7FD8878D,
+    0xF3742CA1, 0x7F62368F,
+    0xED37EF91, 0x7E9D55FC,
+    0xE70747C3, 0x7D8A5F3F,
+    0xE0E60684, 0x7C29FBEE,
+    0xDAD7F3A2, 0x7A7D055B,
+    0xD4E0CB14, 0x78848413,
+    0xCF043AB2, 0x7641AF3C,
+    0xC945DFEC, 0x73B5EBD0,
+    0xC3A9458F, 0x70E2CBC6,
+    0xBE31E19B, 0x6DCA0D14,
+    0xB8E31319, 0x6A6D98A4,
+    0xB3C0200C, 0x66CF811F,
+    0xAECC336B, 0x62F201AC,
+    0xAA0A5B2D, 0x5ED77C89,
+    0xA57D8666, 0x5A82799A,
+    0xA1288376, 0x55F5A4D2,
+    0x9D0DFE53, 0x5133CC94,
+    0x99307EE0, 0x4C3FDFF3,
+    0x9592675B, 0x471CECE6,
+    0x9235F2EB, 0x41CE1E64,
+    0x8F1D343A, 0x3C56BA70,
+    0x8C4A142F, 0x36BA2013,
+    0x89BE50C3, 0x30FBC54D,
+    0x877B7BEC, 0x2B1F34EB,
+    0x8582FAA4, 0x25280C5D,
+    0x83D60411, 0x1F19F97B,
+    0x8275A0C0, 0x18F8B83C,
+    0x8162AA03, 0x12C8106E,
+    0x809DC970, 0x0C8BD35E,
+    0x80277872, 0x0647D97C,
+    0x80000000, 0x00000000,
+    0x80277872, 0xF9B82683,
+    0x809DC970, 0xF3742CA1,
+    0x8162AA03, 0xED37EF91,
+    0x8275A0C0, 0xE70747C3,
+    0x83D60411, 0xE0E60684,
+    0x8582FAA4, 0xDAD7F3A2,
+    0x877B7BEC, 0xD4E0CB14,
+    0x89BE50C3, 0xCF043AB2,
+    0x8C4A142F, 0xC945DFEC,
+    0x8F1D343A, 0xC3A9458F,
+    0x9235F2EB, 0xBE31E19B,
+    0x9592675B, 0xB8E31319,
+    0x99307EE0, 0xB3C0200C,
+    0x9D0DFE53, 0xAECC336B,
+    0xA1288376, 0xAA0A5B2D,
+    0xA57D8666, 0xA57D8666,
+    0xAA0A5B2D, 0xA1288376,
+    0xAECC336B, 0x9D0DFE53,
+    0xB3C0200C, 0x99307EE0,
+    0xB8E31319, 0x9592675B,
+    0xBE31E19B, 0x9235F2EB,
+    0xC3A9458F, 0x8F1D343A,
+    0xC945DFEC, 0x8C4A142F,
+    0xCF043AB2, 0x89BE50C3,
+    0xD4E0CB14, 0x877B7BEC,
+    0xDAD7F3A2, 0x8582FAA4,
+    0xE0E60684, 0x83D60411,
+    0xE70747C3, 0x8275A0C0,
+    0xED37EF91, 0x8162AA03,
+    0xF3742CA1, 0x809DC970,
+    0xF9B82683, 0x80277872
+};
+
+/**    
+* \par   
+* Example code for Q31 Twiddle factors Generation::    
+* \par    
+* <pre>for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 256	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are interleaved fashion    
+* \par    
+* Convert Floating point to Q31(Fixed point 1.31):    
+*	round(twiddleCoefQ31(i) * pow(2, 31))    
+*    
+*/
+const q31_t twiddleCoef_256_q31[384] = {
+    0x7FFFFFFF, 0x00000000,
+    0x7FF62182, 0x03242ABF,
+    0x7FD8878D, 0x0647D97C,
+    0x7FA736B4, 0x096A9049,
+    0x7F62368F, 0x0C8BD35E,
+    0x7F0991C3, 0x0FAB272B,
+    0x7E9D55FC, 0x12C8106E,
+    0x7E1D93E9, 0x15E21444,
+    0x7D8A5F3F, 0x18F8B83C,
+    0x7CE3CEB1, 0x1C0B826A,
+    0x7C29FBEE, 0x1F19F97B,
+    0x7B5D039D, 0x2223A4C5,
+    0x7A7D055B, 0x25280C5D,
+    0x798A23B1, 0x2826B928,
+    0x78848413, 0x2B1F34EB,
+    0x776C4EDB, 0x2E110A62,
+    0x7641AF3C, 0x30FBC54D,
+    0x7504D345, 0x33DEF287,
+    0x73B5EBD0, 0x36BA2013,
+    0x72552C84, 0x398CDD32,
+    0x70E2CBC6, 0x3C56BA70,
+    0x6F5F02B1, 0x3F1749B7,
+    0x6DCA0D14, 0x41CE1E64,
+    0x6C242960, 0x447ACD50,
+    0x6A6D98A4, 0x471CECE6,
+    0x68A69E81, 0x49B41533,
+    0x66CF811F, 0x4C3FDFF3,
+    0x64E88926, 0x4EBFE8A4,
+    0x62F201AC, 0x5133CC94,
+    0x60EC3830, 0x539B2AEF,
+    0x5ED77C89, 0x55F5A4D2,
+    0x5CB420DF, 0x5842DD54,
+    0x5A82799A, 0x5A82799A,
+    0x5842DD54, 0x5CB420DF,
+    0x55F5A4D2, 0x5ED77C89,
+    0x539B2AEF, 0x60EC3830,
+    0x5133CC94, 0x62F201AC,
+    0x4EBFE8A4, 0x64E88926,
+    0x4C3FDFF3, 0x66CF811F,
+    0x49B41533, 0x68A69E81,
+    0x471CECE6, 0x6A6D98A4,
+    0x447ACD50, 0x6C242960,
+    0x41CE1E64, 0x6DCA0D14,
+    0x3F1749B7, 0x6F5F02B1,
+    0x3C56BA70, 0x70E2CBC6,
+    0x398CDD32, 0x72552C84,
+    0x36BA2013, 0x73B5EBD0,
+    0x33DEF287, 0x7504D345,
+    0x30FBC54D, 0x7641AF3C,
+    0x2E110A62, 0x776C4EDB,
+    0x2B1F34EB, 0x78848413,
+    0x2826B928, 0x798A23B1,
+    0x25280C5D, 0x7A7D055B,
+    0x2223A4C5, 0x7B5D039D,
+    0x1F19F97B, 0x7C29FBEE,
+    0x1C0B826A, 0x7CE3CEB1,
+    0x18F8B83C, 0x7D8A5F3F,
+    0x15E21444, 0x7E1D93E9,
+    0x12C8106E, 0x7E9D55FC,
+    0x0FAB272B, 0x7F0991C3,
+    0x0C8BD35E, 0x7F62368F,
+    0x096A9049, 0x7FA736B4,
+    0x0647D97C, 0x7FD8878D,
+    0x03242ABF, 0x7FF62182,
+    0x00000000, 0x7FFFFFFF,
+    0xFCDBD541, 0x7FF62182,
+    0xF9B82683, 0x7FD8878D,
+    0xF6956FB6, 0x7FA736B4,
+    0xF3742CA1, 0x7F62368F,
+    0xF054D8D4, 0x7F0991C3,
+    0xED37EF91, 0x7E9D55FC,
+    0xEA1DEBBB, 0x7E1D93E9,
+    0xE70747C3, 0x7D8A5F3F,
+    0xE3F47D95, 0x7CE3CEB1,
+    0xE0E60684, 0x7C29FBEE,
+    0xDDDC5B3A, 0x7B5D039D,
+    0xDAD7F3A2, 0x7A7D055B,
+    0xD7D946D7, 0x798A23B1,
+    0xD4E0CB14, 0x78848413,
+    0xD1EEF59E, 0x776C4EDB,
+    0xCF043AB2, 0x7641AF3C,
+    0xCC210D78, 0x7504D345,
+    0xC945DFEC, 0x73B5EBD0,
+    0xC67322CD, 0x72552C84,
+    0xC3A9458F, 0x70E2CBC6,
+    0xC0E8B648, 0x6F5F02B1,
+    0xBE31E19B, 0x6DCA0D14,
+    0xBB8532AF, 0x6C242960,
+    0xB8E31319, 0x6A6D98A4,
+    0xB64BEACC, 0x68A69E81,
+    0xB3C0200C, 0x66CF811F,
+    0xB140175B, 0x64E88926,
+    0xAECC336B, 0x62F201AC,
+    0xAC64D510, 0x60EC3830,
+    0xAA0A5B2D, 0x5ED77C89,
+    0xA7BD22AB, 0x5CB420DF,
+    0xA57D8666, 0x5A82799A,
+    0xA34BDF20, 0x5842DD54,
+    0xA1288376, 0x55F5A4D2,
+    0x9F13C7D0, 0x539B2AEF,
+    0x9D0DFE53, 0x5133CC94,
+    0x9B1776D9, 0x4EBFE8A4,
+    0x99307EE0, 0x4C3FDFF3,
+    0x9759617E, 0x49B41533,
+    0x9592675B, 0x471CECE6,
+    0x93DBD69F, 0x447ACD50,
+    0x9235F2EB, 0x41CE1E64,
+    0x90A0FD4E, 0x3F1749B7,
+    0x8F1D343A, 0x3C56BA70,
+    0x8DAAD37B, 0x398CDD32,
+    0x8C4A142F, 0x36BA2013,
+    0x8AFB2CBA, 0x33DEF287,
+    0x89BE50C3, 0x30FBC54D,
+    0x8893B124, 0x2E110A62,
+    0x877B7BEC, 0x2B1F34EB,
+    0x8675DC4E, 0x2826B928,
+    0x8582FAA4, 0x25280C5D,
+    0x84A2FC62, 0x2223A4C5,
+    0x83D60411, 0x1F19F97B,
+    0x831C314E, 0x1C0B826A,
+    0x8275A0C0, 0x18F8B83C,
+    0x81E26C16, 0x15E21444,
+    0x8162AA03, 0x12C8106E,
+    0x80F66E3C, 0x0FAB272B,
+    0x809DC970, 0x0C8BD35E,
+    0x8058C94C, 0x096A9049,
+    0x80277872, 0x0647D97C,
+    0x8009DE7D, 0x03242ABF,
+    0x80000000, 0x00000000,
+    0x8009DE7D, 0xFCDBD541,
+    0x80277872, 0xF9B82683,
+    0x8058C94C, 0xF6956FB6,
+    0x809DC970, 0xF3742CA1,
+    0x80F66E3C, 0xF054D8D4,
+    0x8162AA03, 0xED37EF91,
+    0x81E26C16, 0xEA1DEBBB,
+    0x8275A0C0, 0xE70747C3,
+    0x831C314E, 0xE3F47D95,
+    0x83D60411, 0xE0E60684,
+    0x84A2FC62, 0xDDDC5B3A,
+    0x8582FAA4, 0xDAD7F3A2,
+    0x8675DC4E, 0xD7D946D7,
+    0x877B7BEC, 0xD4E0CB14,
+    0x8893B124, 0xD1EEF59E,
+    0x89BE50C3, 0xCF043AB2,
+    0x8AFB2CBA, 0xCC210D78,
+    0x8C4A142F, 0xC945DFEC,
+    0x8DAAD37B, 0xC67322CD,
+    0x8F1D343A, 0xC3A9458F,
+    0x90A0FD4E, 0xC0E8B648,
+    0x9235F2EB, 0xBE31E19B,
+    0x93DBD69F, 0xBB8532AF,
+    0x9592675B, 0xB8E31319,
+    0x9759617E, 0xB64BEACC,
+    0x99307EE0, 0xB3C0200C,
+    0x9B1776D9, 0xB140175B,
+    0x9D0DFE53, 0xAECC336B,
+    0x9F13C7D0, 0xAC64D510,
+    0xA1288376, 0xAA0A5B2D,
+    0xA34BDF20, 0xA7BD22AB,
+    0xA57D8666, 0xA57D8666,
+    0xA7BD22AB, 0xA34BDF20,
+    0xAA0A5B2D, 0xA1288376,
+    0xAC64D510, 0x9F13C7D0,
+    0xAECC336B, 0x9D0DFE53,
+    0xB140175B, 0x9B1776D9,
+    0xB3C0200C, 0x99307EE0,
+    0xB64BEACC, 0x9759617E,
+    0xB8E31319, 0x9592675B,
+    0xBB8532AF, 0x93DBD69F,
+    0xBE31E19B, 0x9235F2EB,
+    0xC0E8B648, 0x90A0FD4E,
+    0xC3A9458F, 0x8F1D343A,
+    0xC67322CD, 0x8DAAD37B,
+    0xC945DFEC, 0x8C4A142F,
+    0xCC210D78, 0x8AFB2CBA,
+    0xCF043AB2, 0x89BE50C3,
+    0xD1EEF59E, 0x8893B124,
+    0xD4E0CB14, 0x877B7BEC,
+    0xD7D946D7, 0x8675DC4E,
+    0xDAD7F3A2, 0x8582FAA4,
+    0xDDDC5B3A, 0x84A2FC62,
+    0xE0E60684, 0x83D60411,
+    0xE3F47D95, 0x831C314E,
+    0xE70747C3, 0x8275A0C0,
+    0xEA1DEBBB, 0x81E26C16,
+    0xED37EF91, 0x8162AA03,
+    0xF054D8D4, 0x80F66E3C,
+    0xF3742CA1, 0x809DC970,
+    0xF6956FB6, 0x8058C94C,
+    0xF9B82683, 0x80277872,
+    0xFCDBD541, 0x8009DE7D
+};
+
+/**    
+* \par   
+* Example code for Q31 Twiddle factors Generation::    
+* \par    
+* <pre>for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 512	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are interleaved fashion    
+* \par    
+* Convert Floating point to Q31(Fixed point 1.31):    
+*	round(twiddleCoefQ31(i) * pow(2, 31))    
+*    
+*/
+const q31_t twiddleCoef_512_q31[768] = {
+    0x7FFFFFFF, 0x00000000,
+    0x7FFD885A, 0x01921D1F,
+    0x7FF62182, 0x03242ABF,
+    0x7FE9CBC0, 0x04B6195D,
+    0x7FD8878D, 0x0647D97C,
+    0x7FC25596, 0x07D95B9E,
+    0x7FA736B4, 0x096A9049,
+    0x7F872BF3, 0x0AFB6805,
+    0x7F62368F, 0x0C8BD35E,
+    0x7F3857F5, 0x0E1BC2E3,
+    0x7F0991C3, 0x0FAB272B,
+    0x7ED5E5C6, 0x1139F0CE,
+    0x7E9D55FC, 0x12C8106E,
+    0x7E5FE493, 0x145576B1,
+    0x7E1D93E9, 0x15E21444,
+    0x7DD6668E, 0x176DD9DE,
+    0x7D8A5F3F, 0x18F8B83C,
+    0x7D3980EC, 0x1A82A025,
+    0x7CE3CEB1, 0x1C0B826A,
+    0x7C894BDD, 0x1D934FE5,
+    0x7C29FBEE, 0x1F19F97B,
+    0x7BC5E28F, 0x209F701C,
+    0x7B5D039D, 0x2223A4C5,
+    0x7AEF6323, 0x23A6887E,
+    0x7A7D055B, 0x25280C5D,
+    0x7A05EEAD, 0x26A82185,
+    0x798A23B1, 0x2826B928,
+    0x7909A92C, 0x29A3C484,
+    0x78848413, 0x2B1F34EB,
+    0x77FAB988, 0x2C98FBBA,
+    0x776C4EDB, 0x2E110A62,
+    0x76D94988, 0x2F875262,
+    0x7641AF3C, 0x30FBC54D,
+    0x75A585CF, 0x326E54C7,
+    0x7504D345, 0x33DEF287,
+    0x745F9DD1, 0x354D9056,
+    0x73B5EBD0, 0x36BA2013,
+    0x7307C3D0, 0x382493B0,
+    0x72552C84, 0x398CDD32,
+    0x719E2CD2, 0x3AF2EEB7,
+    0x70E2CBC6, 0x3C56BA70,
+    0x70231099, 0x3DB832A5,
+    0x6F5F02B1, 0x3F1749B7,
+    0x6E96A99C, 0x4073F21D,
+    0x6DCA0D14, 0x41CE1E64,
+    0x6CF934FB, 0x4325C135,
+    0x6C242960, 0x447ACD50,
+    0x6B4AF278, 0x45CD358F,
+    0x6A6D98A4, 0x471CECE6,
+    0x698C246C, 0x4869E664,
+    0x68A69E81, 0x49B41533,
+    0x67BD0FBC, 0x4AFB6C97,
+    0x66CF811F, 0x4C3FDFF3,
+    0x65DDFBD3, 0x4D8162C4,
+    0x64E88926, 0x4EBFE8A4,
+    0x63EF328F, 0x4FFB654D,
+    0x62F201AC, 0x5133CC94,
+    0x61F1003E, 0x5269126E,
+    0x60EC3830, 0x539B2AEF,
+    0x5FE3B38D, 0x54CA0A4A,
+    0x5ED77C89, 0x55F5A4D2,
+    0x5DC79D7C, 0x571DEEF9,
+    0x5CB420DF, 0x5842DD54,
+    0x5B9D1153, 0x59646497,
+    0x5A82799A, 0x5A82799A,
+    0x59646497, 0x5B9D1153,
+    0x5842DD54, 0x5CB420DF,
+    0x571DEEF9, 0x5DC79D7C,
+    0x55F5A4D2, 0x5ED77C89,
+    0x54CA0A4A, 0x5FE3B38D,
+    0x539B2AEF, 0x60EC3830,
+    0x5269126E, 0x61F1003E,
+    0x5133CC94, 0x62F201AC,
+    0x4FFB654D, 0x63EF328F,
+    0x4EBFE8A4, 0x64E88926,
+    0x4D8162C4, 0x65DDFBD3,
+    0x4C3FDFF3, 0x66CF811F,
+    0x4AFB6C97, 0x67BD0FBC,
+    0x49B41533, 0x68A69E81,
+    0x4869E664, 0x698C246C,
+    0x471CECE6, 0x6A6D98A4,
+    0x45CD358F, 0x6B4AF278,
+    0x447ACD50, 0x6C242960,
+    0x4325C135, 0x6CF934FB,
+    0x41CE1E64, 0x6DCA0D14,
+    0x4073F21D, 0x6E96A99C,
+    0x3F1749B7, 0x6F5F02B1,
+    0x3DB832A5, 0x70231099,
+    0x3C56BA70, 0x70E2CBC6,
+    0x3AF2EEB7, 0x719E2CD2,
+    0x398CDD32, 0x72552C84,
+    0x382493B0, 0x7307C3D0,
+    0x36BA2013, 0x73B5EBD0,
+    0x354D9056, 0x745F9DD1,
+    0x33DEF287, 0x7504D345,
+    0x326E54C7, 0x75A585CF,
+    0x30FBC54D, 0x7641AF3C,
+    0x2F875262, 0x76D94988,
+    0x2E110A62, 0x776C4EDB,
+    0x2C98FBBA, 0x77FAB988,
+    0x2B1F34EB, 0x78848413,
+    0x29A3C484, 0x7909A92C,
+    0x2826B928, 0x798A23B1,
+    0x26A82185, 0x7A05EEAD,
+    0x25280C5D, 0x7A7D055B,
+    0x23A6887E, 0x7AEF6323,
+    0x2223A4C5, 0x7B5D039D,
+    0x209F701C, 0x7BC5E28F,
+    0x1F19F97B, 0x7C29FBEE,
+    0x1D934FE5, 0x7C894BDD,
+    0x1C0B826A, 0x7CE3CEB1,
+    0x1A82A025, 0x7D3980EC,
+    0x18F8B83C, 0x7D8A5F3F,
+    0x176DD9DE, 0x7DD6668E,
+    0x15E21444, 0x7E1D93E9,
+    0x145576B1, 0x7E5FE493,
+    0x12C8106E, 0x7E9D55FC,
+    0x1139F0CE, 0x7ED5E5C6,
+    0x0FAB272B, 0x7F0991C3,
+    0x0E1BC2E3, 0x7F3857F5,
+    0x0C8BD35E, 0x7F62368F,
+    0x0AFB6805, 0x7F872BF3,
+    0x096A9049, 0x7FA736B4,
+    0x07D95B9E, 0x7FC25596,
+    0x0647D97C, 0x7FD8878D,
+    0x04B6195D, 0x7FE9CBC0,
+    0x03242ABF, 0x7FF62182,
+    0x01921D1F, 0x7FFD885A,
+    0x00000000, 0x7FFFFFFF,
+    0xFE6DE2E0, 0x7FFD885A,
+    0xFCDBD541, 0x7FF62182,
+    0xFB49E6A2, 0x7FE9CBC0,
+    0xF9B82683, 0x7FD8878D,
+    0xF826A461, 0x7FC25596,
+    0xF6956FB6, 0x7FA736B4,
+    0xF50497FA, 0x7F872BF3,
+    0xF3742CA1, 0x7F62368F,
+    0xF1E43D1C, 0x7F3857F5,
+    0xF054D8D4, 0x7F0991C3,
+    0xEEC60F31, 0x7ED5E5C6,
+    0xED37EF91, 0x7E9D55FC,
+    0xEBAA894E, 0x7E5FE493,
+    0xEA1DEBBB, 0x7E1D93E9,
+    0xE8922621, 0x7DD6668E,
+    0xE70747C3, 0x7D8A5F3F,
+    0xE57D5FDA, 0x7D3980EC,
+    0xE3F47D95, 0x7CE3CEB1,
+    0xE26CB01A, 0x7C894BDD,
+    0xE0E60684, 0x7C29FBEE,
+    0xDF608FE3, 0x7BC5E28F,
+    0xDDDC5B3A, 0x7B5D039D,
+    0xDC597781, 0x7AEF6323,
+    0xDAD7F3A2, 0x7A7D055B,
+    0xD957DE7A, 0x7A05EEAD,
+    0xD7D946D7, 0x798A23B1,
+    0xD65C3B7B, 0x7909A92C,
+    0xD4E0CB14, 0x78848413,
+    0xD3670445, 0x77FAB988,
+    0xD1EEF59E, 0x776C4EDB,
+    0xD078AD9D, 0x76D94988,
+    0xCF043AB2, 0x7641AF3C,
+    0xCD91AB38, 0x75A585CF,
+    0xCC210D78, 0x7504D345,
+    0xCAB26FA9, 0x745F9DD1,
+    0xC945DFEC, 0x73B5EBD0,
+    0xC7DB6C50, 0x7307C3D0,
+    0xC67322CD, 0x72552C84,
+    0xC50D1148, 0x719E2CD2,
+    0xC3A9458F, 0x70E2CBC6,
+    0xC247CD5A, 0x70231099,
+    0xC0E8B648, 0x6F5F02B1,
+    0xBF8C0DE2, 0x6E96A99C,
+    0xBE31E19B, 0x6DCA0D14,
+    0xBCDA3ECA, 0x6CF934FB,
+    0xBB8532AF, 0x6C242960,
+    0xBA32CA70, 0x6B4AF278,
+    0xB8E31319, 0x6A6D98A4,
+    0xB796199B, 0x698C246C,
+    0xB64BEACC, 0x68A69E81,
+    0xB5049368, 0x67BD0FBC,
+    0xB3C0200C, 0x66CF811F,
+    0xB27E9D3B, 0x65DDFBD3,
+    0xB140175B, 0x64E88926,
+    0xB0049AB2, 0x63EF328F,
+    0xAECC336B, 0x62F201AC,
+    0xAD96ED91, 0x61F1003E,
+    0xAC64D510, 0x60EC3830,
+    0xAB35F5B5, 0x5FE3B38D,
+    0xAA0A5B2D, 0x5ED77C89,
+    0xA8E21106, 0x5DC79D7C,
+    0xA7BD22AB, 0x5CB420DF,
+    0xA69B9B68, 0x5B9D1153,
+    0xA57D8666, 0x5A82799A,
+    0xA462EEAC, 0x59646497,
+    0xA34BDF20, 0x5842DD54,
+    0xA2386283, 0x571DEEF9,
+    0xA1288376, 0x55F5A4D2,
+    0xA01C4C72, 0x54CA0A4A,
+    0x9F13C7D0, 0x539B2AEF,
+    0x9E0EFFC1, 0x5269126E,
+    0x9D0DFE53, 0x5133CC94,
+    0x9C10CD70, 0x4FFB654D,
+    0x9B1776D9, 0x4EBFE8A4,
+    0x9A22042C, 0x4D8162C4,
+    0x99307EE0, 0x4C3FDFF3,
+    0x9842F043, 0x4AFB6C97,
+    0x9759617E, 0x49B41533,
+    0x9673DB94, 0x4869E664,
+    0x9592675B, 0x471CECE6,
+    0x94B50D87, 0x45CD358F,
+    0x93DBD69F, 0x447ACD50,
+    0x9306CB04, 0x4325C135,
+    0x9235F2EB, 0x41CE1E64,
+    0x91695663, 0x4073F21D,
+    0x90A0FD4E, 0x3F1749B7,
+    0x8FDCEF66, 0x3DB832A5,
+    0x8F1D343A, 0x3C56BA70,
+    0x8E61D32D, 0x3AF2EEB7,
+    0x8DAAD37B, 0x398CDD32,
+    0x8CF83C30, 0x382493B0,
+    0x8C4A142F, 0x36BA2013,
+    0x8BA0622F, 0x354D9056,
+    0x8AFB2CBA, 0x33DEF287,
+    0x8A5A7A30, 0x326E54C7,
+    0x89BE50C3, 0x30FBC54D,
+    0x8926B677, 0x2F875262,
+    0x8893B124, 0x2E110A62,
+    0x88054677, 0x2C98FBBA,
+    0x877B7BEC, 0x2B1F34EB,
+    0x86F656D3, 0x29A3C484,
+    0x8675DC4E, 0x2826B928,
+    0x85FA1152, 0x26A82185,
+    0x8582FAA4, 0x25280C5D,
+    0x85109CDC, 0x23A6887E,
+    0x84A2FC62, 0x2223A4C5,
+    0x843A1D70, 0x209F701C,
+    0x83D60411, 0x1F19F97B,
+    0x8376B422, 0x1D934FE5,
+    0x831C314E, 0x1C0B826A,
+    0x82C67F13, 0x1A82A025,
+    0x8275A0C0, 0x18F8B83C,
+    0x82299971, 0x176DD9DE,
+    0x81E26C16, 0x15E21444,
+    0x81A01B6C, 0x145576B1,
+    0x8162AA03, 0x12C8106E,
+    0x812A1A39, 0x1139F0CE,
+    0x80F66E3C, 0x0FAB272B,
+    0x80C7A80A, 0x0E1BC2E3,
+    0x809DC970, 0x0C8BD35E,
+    0x8078D40D, 0x0AFB6805,
+    0x8058C94C, 0x096A9049,
+    0x803DAA69, 0x07D95B9E,
+    0x80277872, 0x0647D97C,
+    0x80163440, 0x04B6195D,
+    0x8009DE7D, 0x03242ABF,
+    0x800277A5, 0x01921D1F,
+    0x80000000, 0x00000000,
+    0x800277A5, 0xFE6DE2E0,
+    0x8009DE7D, 0xFCDBD541,
+    0x80163440, 0xFB49E6A2,
+    0x80277872, 0xF9B82683,
+    0x803DAA69, 0xF826A461,
+    0x8058C94C, 0xF6956FB6,
+    0x8078D40D, 0xF50497FA,
+    0x809DC970, 0xF3742CA1,
+    0x80C7A80A, 0xF1E43D1C,
+    0x80F66E3C, 0xF054D8D4,
+    0x812A1A39, 0xEEC60F31,
+    0x8162AA03, 0xED37EF91,
+    0x81A01B6C, 0xEBAA894E,
+    0x81E26C16, 0xEA1DEBBB,
+    0x82299971, 0xE8922621,
+    0x8275A0C0, 0xE70747C3,
+    0x82C67F13, 0xE57D5FDA,
+    0x831C314E, 0xE3F47D95,
+    0x8376B422, 0xE26CB01A,
+    0x83D60411, 0xE0E60684,
+    0x843A1D70, 0xDF608FE3,
+    0x84A2FC62, 0xDDDC5B3A,
+    0x85109CDC, 0xDC597781,
+    0x8582FAA4, 0xDAD7F3A2,
+    0x85FA1152, 0xD957DE7A,
+    0x8675DC4E, 0xD7D946D7,
+    0x86F656D3, 0xD65C3B7B,
+    0x877B7BEC, 0xD4E0CB14,
+    0x88054677, 0xD3670445,
+    0x8893B124, 0xD1EEF59E,
+    0x8926B677, 0xD078AD9D,
+    0x89BE50C3, 0xCF043AB2,
+    0x8A5A7A30, 0xCD91AB38,
+    0x8AFB2CBA, 0xCC210D78,
+    0x8BA0622F, 0xCAB26FA9,
+    0x8C4A142F, 0xC945DFEC,
+    0x8CF83C30, 0xC7DB6C50,
+    0x8DAAD37B, 0xC67322CD,
+    0x8E61D32D, 0xC50D1148,
+    0x8F1D343A, 0xC3A9458F,
+    0x8FDCEF66, 0xC247CD5A,
+    0x90A0FD4E, 0xC0E8B648,
+    0x91695663, 0xBF8C0DE2,
+    0x9235F2EB, 0xBE31E19B,
+    0x9306CB04, 0xBCDA3ECA,
+    0x93DBD69F, 0xBB8532AF,
+    0x94B50D87, 0xBA32CA70,
+    0x9592675B, 0xB8E31319,
+    0x9673DB94, 0xB796199B,
+    0x9759617E, 0xB64BEACC,
+    0x9842F043, 0xB5049368,
+    0x99307EE0, 0xB3C0200C,
+    0x9A22042C, 0xB27E9D3B,
+    0x9B1776D9, 0xB140175B,
+    0x9C10CD70, 0xB0049AB2,
+    0x9D0DFE53, 0xAECC336B,
+    0x9E0EFFC1, 0xAD96ED91,
+    0x9F13C7D0, 0xAC64D510,
+    0xA01C4C72, 0xAB35F5B5,
+    0xA1288376, 0xAA0A5B2D,
+    0xA2386283, 0xA8E21106,
+    0xA34BDF20, 0xA7BD22AB,
+    0xA462EEAC, 0xA69B9B68,
+    0xA57D8666, 0xA57D8666,
+    0xA69B9B68, 0xA462EEAC,
+    0xA7BD22AB, 0xA34BDF20,
+    0xA8E21106, 0xA2386283,
+    0xAA0A5B2D, 0xA1288376,
+    0xAB35F5B5, 0xA01C4C72,
+    0xAC64D510, 0x9F13C7D0,
+    0xAD96ED91, 0x9E0EFFC1,
+    0xAECC336B, 0x9D0DFE53,
+    0xB0049AB2, 0x9C10CD70,
+    0xB140175B, 0x9B1776D9,
+    0xB27E9D3B, 0x9A22042C,
+    0xB3C0200C, 0x99307EE0,
+    0xB5049368, 0x9842F043,
+    0xB64BEACC, 0x9759617E,
+    0xB796199B, 0x9673DB94,
+    0xB8E31319, 0x9592675B,
+    0xBA32CA70, 0x94B50D87,
+    0xBB8532AF, 0x93DBD69F,
+    0xBCDA3ECA, 0x9306CB04,
+    0xBE31E19B, 0x9235F2EB,
+    0xBF8C0DE2, 0x91695663,
+    0xC0E8B648, 0x90A0FD4E,
+    0xC247CD5A, 0x8FDCEF66,
+    0xC3A9458F, 0x8F1D343A,
+    0xC50D1148, 0x8E61D32D,
+    0xC67322CD, 0x8DAAD37B,
+    0xC7DB6C50, 0x8CF83C30,
+    0xC945DFEC, 0x8C4A142F,
+    0xCAB26FA9, 0x8BA0622F,
+    0xCC210D78, 0x8AFB2CBA,
+    0xCD91AB38, 0x8A5A7A30,
+    0xCF043AB2, 0x89BE50C3,
+    0xD078AD9D, 0x8926B677,
+    0xD1EEF59E, 0x8893B124,
+    0xD3670445, 0x88054677,
+    0xD4E0CB14, 0x877B7BEC,
+    0xD65C3B7B, 0x86F656D3,
+    0xD7D946D7, 0x8675DC4E,
+    0xD957DE7A, 0x85FA1152,
+    0xDAD7F3A2, 0x8582FAA4,
+    0xDC597781, 0x85109CDC,
+    0xDDDC5B3A, 0x84A2FC62,
+    0xDF608FE3, 0x843A1D70,
+    0xE0E60684, 0x83D60411,
+    0xE26CB01A, 0x8376B422,
+    0xE3F47D95, 0x831C314E,
+    0xE57D5FDA, 0x82C67F13,
+    0xE70747C3, 0x8275A0C0,
+    0xE8922621, 0x82299971,
+    0xEA1DEBBB, 0x81E26C16,
+    0xEBAA894E, 0x81A01B6C,
+    0xED37EF91, 0x8162AA03,
+    0xEEC60F31, 0x812A1A39,
+    0xF054D8D4, 0x80F66E3C,
+    0xF1E43D1C, 0x80C7A80A,
+    0xF3742CA1, 0x809DC970,
+    0xF50497FA, 0x8078D40D,
+    0xF6956FB6, 0x8058C94C,
+    0xF826A461, 0x803DAA69,
+    0xF9B82683, 0x80277872,
+    0xFB49E6A2, 0x80163440,
+    0xFCDBD541, 0x8009DE7D,
+    0xFE6DE2E0, 0x800277A5
+};
+
+/**    
+* \par   
+* Example code for Q31 Twiddle factors Generation::    
+* \par    
+* <pre>for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 1024	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are interleaved fashion    
+* \par    
+* Convert Floating point to Q31(Fixed point 1.31):    
+*	round(twiddleCoefQ31(i) * pow(2, 31))    
+*    
+*/
+const q31_t twiddleCoef_1024_q31[1536] = {
+    0x7FFFFFFF, 0x00000000,
+    0x7FFF6216, 0x00C90F88,
+    0x7FFD885A, 0x01921D1F,
+    0x7FFA72D1, 0x025B26D7,
+    0x7FF62182, 0x03242ABF,
+    0x7FF09477, 0x03ED26E6,
+    0x7FE9CBC0, 0x04B6195D,
+    0x7FE1C76B, 0x057F0034,
+    0x7FD8878D, 0x0647D97C,
+    0x7FCE0C3E, 0x0710A344,
+    0x7FC25596, 0x07D95B9E,
+    0x7FB563B2, 0x08A2009A,
+    0x7FA736B4, 0x096A9049,
+    0x7F97CEBC, 0x0A3308BC,
+    0x7F872BF3, 0x0AFB6805,
+    0x7F754E7F, 0x0BC3AC35,
+    0x7F62368F, 0x0C8BD35E,
+    0x7F4DE450, 0x0D53DB92,
+    0x7F3857F5, 0x0E1BC2E3,
+    0x7F2191B4, 0x0EE38765,
+    0x7F0991C3, 0x0FAB272B,
+    0x7EF0585F, 0x1072A047,
+    0x7ED5E5C6, 0x1139F0CE,
+    0x7EBA3A39, 0x120116D4,
+    0x7E9D55FC, 0x12C8106E,
+    0x7E7F3956, 0x138EDBB0,
+    0x7E5FE493, 0x145576B1,
+    0x7E3F57FE, 0x151BDF85,
+    0x7E1D93E9, 0x15E21444,
+    0x7DFA98A7, 0x16A81305,
+    0x7DD6668E, 0x176DD9DE,
+    0x7DB0FDF7, 0x183366E8,
+    0x7D8A5F3F, 0x18F8B83C,
+    0x7D628AC5, 0x19BDCBF2,
+    0x7D3980EC, 0x1A82A025,
+    0x7D0F4218, 0x1B4732EF,
+    0x7CE3CEB1, 0x1C0B826A,
+    0x7CB72724, 0x1CCF8CB3,
+    0x7C894BDD, 0x1D934FE5,
+    0x7C5A3D4F, 0x1E56CA1E,
+    0x7C29FBEE, 0x1F19F97B,
+    0x7BF88830, 0x1FDCDC1A,
+    0x7BC5E28F, 0x209F701C,
+    0x7B920B89, 0x2161B39F,
+    0x7B5D039D, 0x2223A4C5,
+    0x7B26CB4F, 0x22E541AE,
+    0x7AEF6323, 0x23A6887E,
+    0x7AB6CBA3, 0x24677757,
+    0x7A7D055B, 0x25280C5D,
+    0x7A4210D8, 0x25E845B5,
+    0x7A05EEAD, 0x26A82185,
+    0x79C89F6D, 0x27679DF4,
+    0x798A23B1, 0x2826B928,
+    0x794A7C11, 0x28E5714A,
+    0x7909A92C, 0x29A3C484,
+    0x78C7ABA1, 0x2A61B101,
+    0x78848413, 0x2B1F34EB,
+    0x78403328, 0x2BDC4E6F,
+    0x77FAB988, 0x2C98FBBA,
+    0x77B417DF, 0x2D553AFB,
+    0x776C4EDB, 0x2E110A62,
+    0x77235F2D, 0x2ECC681E,
+    0x76D94988, 0x2F875262,
+    0x768E0EA5, 0x3041C760,
+    0x7641AF3C, 0x30FBC54D,
+    0x75F42C0A, 0x31B54A5D,
+    0x75A585CF, 0x326E54C7,
+    0x7555BD4B, 0x3326E2C2,
+    0x7504D345, 0x33DEF287,
+    0x74B2C883, 0x3496824F,
+    0x745F9DD1, 0x354D9056,
+    0x740B53FA, 0x36041AD9,
+    0x73B5EBD0, 0x36BA2013,
+    0x735F6626, 0x376F9E46,
+    0x7307C3D0, 0x382493B0,
+    0x72AF05A6, 0x38D8FE93,
+    0x72552C84, 0x398CDD32,
+    0x71FA3948, 0x3A402DD1,
+    0x719E2CD2, 0x3AF2EEB7,
+    0x71410804, 0x3BA51E29,
+    0x70E2CBC6, 0x3C56BA70,
+    0x708378FE, 0x3D07C1D5,
+    0x70231099, 0x3DB832A5,
+    0x6FC19385, 0x3E680B2C,
+    0x6F5F02B1, 0x3F1749B7,
+    0x6EFB5F12, 0x3FC5EC97,
+    0x6E96A99C, 0x4073F21D,
+    0x6E30E349, 0x4121589A,
+    0x6DCA0D14, 0x41CE1E64,
+    0x6D6227FA, 0x427A41D0,
+    0x6CF934FB, 0x4325C135,
+    0x6C8F351C, 0x43D09AEC,
+    0x6C242960, 0x447ACD50,
+    0x6BB812D0, 0x452456BC,
+    0x6B4AF278, 0x45CD358F,
+    0x6ADCC964, 0x46756827,
+    0x6A6D98A4, 0x471CECE6,
+    0x69FD614A, 0x47C3C22E,
+    0x698C246C, 0x4869E664,
+    0x6919E320, 0x490F57EE,
+    0x68A69E81, 0x49B41533,
+    0x683257AA, 0x4A581C9D,
+    0x67BD0FBC, 0x4AFB6C97,
+    0x6746C7D7, 0x4B9E038F,
+    0x66CF811F, 0x4C3FDFF3,
+    0x66573CBB, 0x4CE10034,
+    0x65DDFBD3, 0x4D8162C4,
+    0x6563BF92, 0x4E210617,
+    0x64E88926, 0x4EBFE8A4,
+    0x646C59BF, 0x4F5E08E3,
+    0x63EF328F, 0x4FFB654D,
+    0x637114CC, 0x5097FC5E,
+    0x62F201AC, 0x5133CC94,
+    0x6271FA69, 0x51CED46E,
+    0x61F1003E, 0x5269126E,
+    0x616F146B, 0x53028517,
+    0x60EC3830, 0x539B2AEF,
+    0x60686CCE, 0x5433027D,
+    0x5FE3B38D, 0x54CA0A4A,
+    0x5F5E0DB3, 0x556040E2,
+    0x5ED77C89, 0x55F5A4D2,
+    0x5E50015D, 0x568A34A9,
+    0x5DC79D7C, 0x571DEEF9,
+    0x5D3E5236, 0x57B0D256,
+    0x5CB420DF, 0x5842DD54,
+    0x5C290ACC, 0x58D40E8C,
+    0x5B9D1153, 0x59646497,
+    0x5B1035CF, 0x59F3DE12,
+    0x5A82799A, 0x5A82799A,
+    0x59F3DE12, 0x5B1035CF,
+    0x59646497, 0x5B9D1153,
+    0x58D40E8C, 0x5C290ACC,
+    0x5842DD54, 0x5CB420DF,
+    0x57B0D256, 0x5D3E5236,
+    0x571DEEF9, 0x5DC79D7C,
+    0x568A34A9, 0x5E50015D,
+    0x55F5A4D2, 0x5ED77C89,
+    0x556040E2, 0x5F5E0DB3,
+    0x54CA0A4A, 0x5FE3B38D,
+    0x5433027D, 0x60686CCE,
+    0x539B2AEF, 0x60EC3830,
+    0x53028517, 0x616F146B,
+    0x5269126E, 0x61F1003E,
+    0x51CED46E, 0x6271FA69,
+    0x5133CC94, 0x62F201AC,
+    0x5097FC5E, 0x637114CC,
+    0x4FFB654D, 0x63EF328F,
+    0x4F5E08E3, 0x646C59BF,
+    0x4EBFE8A4, 0x64E88926,
+    0x4E210617, 0x6563BF92,
+    0x4D8162C4, 0x65DDFBD3,
+    0x4CE10034, 0x66573CBB,
+    0x4C3FDFF3, 0x66CF811F,
+    0x4B9E038F, 0x6746C7D7,
+    0x4AFB6C97, 0x67BD0FBC,
+    0x4A581C9D, 0x683257AA,
+    0x49B41533, 0x68A69E81,
+    0x490F57EE, 0x6919E320,
+    0x4869E664, 0x698C246C,
+    0x47C3C22E, 0x69FD614A,
+    0x471CECE6, 0x6A6D98A4,
+    0x46756827, 0x6ADCC964,
+    0x45CD358F, 0x6B4AF278,
+    0x452456BC, 0x6BB812D0,
+    0x447ACD50, 0x6C242960,
+    0x43D09AEC, 0x6C8F351C,
+    0x4325C135, 0x6CF934FB,
+    0x427A41D0, 0x6D6227FA,
+    0x41CE1E64, 0x6DCA0D14,
+    0x4121589A, 0x6E30E349,
+    0x4073F21D, 0x6E96A99C,
+    0x3FC5EC97, 0x6EFB5F12,
+    0x3F1749B7, 0x6F5F02B1,
+    0x3E680B2C, 0x6FC19385,
+    0x3DB832A5, 0x70231099,
+    0x3D07C1D5, 0x708378FE,
+    0x3C56BA70, 0x70E2CBC6,
+    0x3BA51E29, 0x71410804,
+    0x3AF2EEB7, 0x719E2CD2,
+    0x3A402DD1, 0x71FA3948,
+    0x398CDD32, 0x72552C84,
+    0x38D8FE93, 0x72AF05A6,
+    0x382493B0, 0x7307C3D0,
+    0x376F9E46, 0x735F6626,
+    0x36BA2013, 0x73B5EBD0,
+    0x36041AD9, 0x740B53FA,
+    0x354D9056, 0x745F9DD1,
+    0x3496824F, 0x74B2C883,
+    0x33DEF287, 0x7504D345,
+    0x3326E2C2, 0x7555BD4B,
+    0x326E54C7, 0x75A585CF,
+    0x31B54A5D, 0x75F42C0A,
+    0x30FBC54D, 0x7641AF3C,
+    0x3041C760, 0x768E0EA5,
+    0x2F875262, 0x76D94988,
+    0x2ECC681E, 0x77235F2D,
+    0x2E110A62, 0x776C4EDB,
+    0x2D553AFB, 0x77B417DF,
+    0x2C98FBBA, 0x77FAB988,
+    0x2BDC4E6F, 0x78403328,
+    0x2B1F34EB, 0x78848413,
+    0x2A61B101, 0x78C7ABA1,
+    0x29A3C484, 0x7909A92C,
+    0x28E5714A, 0x794A7C11,
+    0x2826B928, 0x798A23B1,
+    0x27679DF4, 0x79C89F6D,
+    0x26A82185, 0x7A05EEAD,
+    0x25E845B5, 0x7A4210D8,
+    0x25280C5D, 0x7A7D055B,
+    0x24677757, 0x7AB6CBA3,
+    0x23A6887E, 0x7AEF6323,
+    0x22E541AE, 0x7B26CB4F,
+    0x2223A4C5, 0x7B5D039D,
+    0x2161B39F, 0x7B920B89,
+    0x209F701C, 0x7BC5E28F,
+    0x1FDCDC1A, 0x7BF88830,
+    0x1F19F97B, 0x7C29FBEE,
+    0x1E56CA1E, 0x7C5A3D4F,
+    0x1D934FE5, 0x7C894BDD,
+    0x1CCF8CB3, 0x7CB72724,
+    0x1C0B826A, 0x7CE3CEB1,
+    0x1B4732EF, 0x7D0F4218,
+    0x1A82A025, 0x7D3980EC,
+    0x19BDCBF2, 0x7D628AC5,
+    0x18F8B83C, 0x7D8A5F3F,
+    0x183366E8, 0x7DB0FDF7,
+    0x176DD9DE, 0x7DD6668E,
+    0x16A81305, 0x7DFA98A7,
+    0x15E21444, 0x7E1D93E9,
+    0x151BDF85, 0x7E3F57FE,
+    0x145576B1, 0x7E5FE493,
+    0x138EDBB0, 0x7E7F3956,
+    0x12C8106E, 0x7E9D55FC,
+    0x120116D4, 0x7EBA3A39,
+    0x1139F0CE, 0x7ED5E5C6,
+    0x1072A047, 0x7EF0585F,
+    0x0FAB272B, 0x7F0991C3,
+    0x0EE38765, 0x7F2191B4,
+    0x0E1BC2E3, 0x7F3857F5,
+    0x0D53DB92, 0x7F4DE450,
+    0x0C8BD35E, 0x7F62368F,
+    0x0BC3AC35, 0x7F754E7F,
+    0x0AFB6805, 0x7F872BF3,
+    0x0A3308BC, 0x7F97CEBC,
+    0x096A9049, 0x7FA736B4,
+    0x08A2009A, 0x7FB563B2,
+    0x07D95B9E, 0x7FC25596,
+    0x0710A344, 0x7FCE0C3E,
+    0x0647D97C, 0x7FD8878D,
+    0x057F0034, 0x7FE1C76B,
+    0x04B6195D, 0x7FE9CBC0,
+    0x03ED26E6, 0x7FF09477,
+    0x03242ABF, 0x7FF62182,
+    0x025B26D7, 0x7FFA72D1,
+    0x01921D1F, 0x7FFD885A,
+    0x00C90F88, 0x7FFF6216,
+    0x00000000, 0x7FFFFFFF,
+    0xFF36F078, 0x7FFF6216,
+    0xFE6DE2E0, 0x7FFD885A,
+    0xFDA4D928, 0x7FFA72D1,
+    0xFCDBD541, 0x7FF62182,
+    0xFC12D919, 0x7FF09477,
+    0xFB49E6A2, 0x7FE9CBC0,
+    0xFA80FFCB, 0x7FE1C76B,
+    0xF9B82683, 0x7FD8878D,
+    0xF8EF5CBB, 0x7FCE0C3E,
+    0xF826A461, 0x7FC25596,
+    0xF75DFF65, 0x7FB563B2,
+    0xF6956FB6, 0x7FA736B4,
+    0xF5CCF743, 0x7F97CEBC,
+    0xF50497FA, 0x7F872BF3,
+    0xF43C53CA, 0x7F754E7F,
+    0xF3742CA1, 0x7F62368F,
+    0xF2AC246D, 0x7F4DE450,
+    0xF1E43D1C, 0x7F3857F5,
+    0xF11C789A, 0x7F2191B4,
+    0xF054D8D4, 0x7F0991C3,
+    0xEF8D5FB8, 0x7EF0585F,
+    0xEEC60F31, 0x7ED5E5C6,
+    0xEDFEE92B, 0x7EBA3A39,
+    0xED37EF91, 0x7E9D55FC,
+    0xEC71244F, 0x7E7F3956,
+    0xEBAA894E, 0x7E5FE493,
+    0xEAE4207A, 0x7E3F57FE,
+    0xEA1DEBBB, 0x7E1D93E9,
+    0xE957ECFB, 0x7DFA98A7,
+    0xE8922621, 0x7DD6668E,
+    0xE7CC9917, 0x7DB0FDF7,
+    0xE70747C3, 0x7D8A5F3F,
+    0xE642340D, 0x7D628AC5,
+    0xE57D5FDA, 0x7D3980EC,
+    0xE4B8CD10, 0x7D0F4218,
+    0xE3F47D95, 0x7CE3CEB1,
+    0xE330734C, 0x7CB72724,
+    0xE26CB01A, 0x7C894BDD,
+    0xE1A935E1, 0x7C5A3D4F,
+    0xE0E60684, 0x7C29FBEE,
+    0xE02323E5, 0x7BF88830,
+    0xDF608FE3, 0x7BC5E28F,
+    0xDE9E4C60, 0x7B920B89,
+    0xDDDC5B3A, 0x7B5D039D,
+    0xDD1ABE51, 0x7B26CB4F,
+    0xDC597781, 0x7AEF6323,
+    0xDB9888A8, 0x7AB6CBA3,
+    0xDAD7F3A2, 0x7A7D055B,
+    0xDA17BA4A, 0x7A4210D8,
+    0xD957DE7A, 0x7A05EEAD,
+    0xD898620C, 0x79C89F6D,
+    0xD7D946D7, 0x798A23B1,
+    0xD71A8EB5, 0x794A7C11,
+    0xD65C3B7B, 0x7909A92C,
+    0xD59E4EFE, 0x78C7ABA1,
+    0xD4E0CB14, 0x78848413,
+    0xD423B190, 0x78403328,
+    0xD3670445, 0x77FAB988,
+    0xD2AAC504, 0x77B417DF,
+    0xD1EEF59E, 0x776C4EDB,
+    0xD13397E1, 0x77235F2D,
+    0xD078AD9D, 0x76D94988,
+    0xCFBE389F, 0x768E0EA5,
+    0xCF043AB2, 0x7641AF3C,
+    0xCE4AB5A2, 0x75F42C0A,
+    0xCD91AB38, 0x75A585CF,
+    0xCCD91D3D, 0x7555BD4B,
+    0xCC210D78, 0x7504D345,
+    0xCB697DB0, 0x74B2C883,
+    0xCAB26FA9, 0x745F9DD1,
+    0xC9FBE527, 0x740B53FA,
+    0xC945DFEC, 0x73B5EBD0,
+    0xC89061BA, 0x735F6626,
+    0xC7DB6C50, 0x7307C3D0,
+    0xC727016C, 0x72AF05A6,
+    0xC67322CD, 0x72552C84,
+    0xC5BFD22E, 0x71FA3948,
+    0xC50D1148, 0x719E2CD2,
+    0xC45AE1D7, 0x71410804,
+    0xC3A9458F, 0x70E2CBC6,
+    0xC2F83E2A, 0x708378FE,
+    0xC247CD5A, 0x70231099,
+    0xC197F4D3, 0x6FC19385,
+    0xC0E8B648, 0x6F5F02B1,
+    0xC03A1368, 0x6EFB5F12,
+    0xBF8C0DE2, 0x6E96A99C,
+    0xBEDEA765, 0x6E30E349,
+    0xBE31E19B, 0x6DCA0D14,
+    0xBD85BE2F, 0x6D6227FA,
+    0xBCDA3ECA, 0x6CF934FB,
+    0xBC2F6513, 0x6C8F351C,
+    0xBB8532AF, 0x6C242960,
+    0xBADBA943, 0x6BB812D0,
+    0xBA32CA70, 0x6B4AF278,
+    0xB98A97D8, 0x6ADCC964,
+    0xB8E31319, 0x6A6D98A4,
+    0xB83C3DD1, 0x69FD614A,
+    0xB796199B, 0x698C246C,
+    0xB6F0A811, 0x6919E320,
+    0xB64BEACC, 0x68A69E81,
+    0xB5A7E362, 0x683257AA,
+    0xB5049368, 0x67BD0FBC,
+    0xB461FC70, 0x6746C7D7,
+    0xB3C0200C, 0x66CF811F,
+    0xB31EFFCB, 0x66573CBB,
+    0xB27E9D3B, 0x65DDFBD3,
+    0xB1DEF9E8, 0x6563BF92,
+    0xB140175B, 0x64E88926,
+    0xB0A1F71C, 0x646C59BF,
+    0xB0049AB2, 0x63EF328F,
+    0xAF6803A1, 0x637114CC,
+    0xAECC336B, 0x62F201AC,
+    0xAE312B91, 0x6271FA69,
+    0xAD96ED91, 0x61F1003E,
+    0xACFD7AE8, 0x616F146B,
+    0xAC64D510, 0x60EC3830,
+    0xABCCFD82, 0x60686CCE,
+    0xAB35F5B5, 0x5FE3B38D,
+    0xAA9FBF1D, 0x5F5E0DB3,
+    0xAA0A5B2D, 0x5ED77C89,
+    0xA975CB56, 0x5E50015D,
+    0xA8E21106, 0x5DC79D7C,
+    0xA84F2DA9, 0x5D3E5236,
+    0xA7BD22AB, 0x5CB420DF,
+    0xA72BF173, 0x5C290ACC,
+    0xA69B9B68, 0x5B9D1153,
+    0xA60C21ED, 0x5B1035CF,
+    0xA57D8666, 0x5A82799A,
+    0xA4EFCA31, 0x59F3DE12,
+    0xA462EEAC, 0x59646497,
+    0xA3D6F533, 0x58D40E8C,
+    0xA34BDF20, 0x5842DD54,
+    0xA2C1ADC9, 0x57B0D256,
+    0xA2386283, 0x571DEEF9,
+    0xA1AFFEA2, 0x568A34A9,
+    0xA1288376, 0x55F5A4D2,
+    0xA0A1F24C, 0x556040E2,
+    0xA01C4C72, 0x54CA0A4A,
+    0x9F979331, 0x5433027D,
+    0x9F13C7D0, 0x539B2AEF,
+    0x9E90EB94, 0x53028517,
+    0x9E0EFFC1, 0x5269126E,
+    0x9D8E0596, 0x51CED46E,
+    0x9D0DFE53, 0x5133CC94,
+    0x9C8EEB33, 0x5097FC5E,
+    0x9C10CD70, 0x4FFB654D,
+    0x9B93A640, 0x4F5E08E3,
+    0x9B1776D9, 0x4EBFE8A4,
+    0x9A9C406D, 0x4E210617,
+    0x9A22042C, 0x4D8162C4,
+    0x99A8C344, 0x4CE10034,
+    0x99307EE0, 0x4C3FDFF3,
+    0x98B93828, 0x4B9E038F,
+    0x9842F043, 0x4AFB6C97,
+    0x97CDA855, 0x4A581C9D,
+    0x9759617E, 0x49B41533,
+    0x96E61CDF, 0x490F57EE,
+    0x9673DB94, 0x4869E664,
+    0x96029EB5, 0x47C3C22E,
+    0x9592675B, 0x471CECE6,
+    0x9523369B, 0x46756827,
+    0x94B50D87, 0x45CD358F,
+    0x9447ED2F, 0x452456BC,
+    0x93DBD69F, 0x447ACD50,
+    0x9370CAE4, 0x43D09AEC,
+    0x9306CB04, 0x4325C135,
+    0x929DD805, 0x427A41D0,
+    0x9235F2EB, 0x41CE1E64,
+    0x91CF1CB6, 0x4121589A,
+    0x91695663, 0x4073F21D,
+    0x9104A0ED, 0x3FC5EC97,
+    0x90A0FD4E, 0x3F1749B7,
+    0x903E6C7A, 0x3E680B2C,
+    0x8FDCEF66, 0x3DB832A5,
+    0x8F7C8701, 0x3D07C1D5,
+    0x8F1D343A, 0x3C56BA70,
+    0x8EBEF7FB, 0x3BA51E29,
+    0x8E61D32D, 0x3AF2EEB7,
+    0x8E05C6B7, 0x3A402DD1,
+    0x8DAAD37B, 0x398CDD32,
+    0x8D50FA59, 0x38D8FE93,
+    0x8CF83C30, 0x382493B0,
+    0x8CA099D9, 0x376F9E46,
+    0x8C4A142F, 0x36BA2013,
+    0x8BF4AC05, 0x36041AD9,
+    0x8BA0622F, 0x354D9056,
+    0x8B4D377C, 0x3496824F,
+    0x8AFB2CBA, 0x33DEF287,
+    0x8AAA42B4, 0x3326E2C2,
+    0x8A5A7A30, 0x326E54C7,
+    0x8A0BD3F5, 0x31B54A5D,
+    0x89BE50C3, 0x30FBC54D,
+    0x8971F15A, 0x3041C760,
+    0x8926B677, 0x2F875262,
+    0x88DCA0D3, 0x2ECC681E,
+    0x8893B124, 0x2E110A62,
+    0x884BE820, 0x2D553AFB,
+    0x88054677, 0x2C98FBBA,
+    0x87BFCCD7, 0x2BDC4E6F,
+    0x877B7BEC, 0x2B1F34EB,
+    0x8738545E, 0x2A61B101,
+    0x86F656D3, 0x29A3C484,
+    0x86B583EE, 0x28E5714A,
+    0x8675DC4E, 0x2826B928,
+    0x86376092, 0x27679DF4,
+    0x85FA1152, 0x26A82185,
+    0x85BDEF27, 0x25E845B5,
+    0x8582FAA4, 0x25280C5D,
+    0x8549345C, 0x24677757,
+    0x85109CDC, 0x23A6887E,
+    0x84D934B0, 0x22E541AE,
+    0x84A2FC62, 0x2223A4C5,
+    0x846DF476, 0x2161B39F,
+    0x843A1D70, 0x209F701C,
+    0x840777CF, 0x1FDCDC1A,
+    0x83D60411, 0x1F19F97B,
+    0x83A5C2B0, 0x1E56CA1E,
+    0x8376B422, 0x1D934FE5,
+    0x8348D8DB, 0x1CCF8CB3,
+    0x831C314E, 0x1C0B826A,
+    0x82F0BDE8, 0x1B4732EF,
+    0x82C67F13, 0x1A82A025,
+    0x829D753A, 0x19BDCBF2,
+    0x8275A0C0, 0x18F8B83C,
+    0x824F0208, 0x183366E8,
+    0x82299971, 0x176DD9DE,
+    0x82056758, 0x16A81305,
+    0x81E26C16, 0x15E21444,
+    0x81C0A801, 0x151BDF85,
+    0x81A01B6C, 0x145576B1,
+    0x8180C6A9, 0x138EDBB0,
+    0x8162AA03, 0x12C8106E,
+    0x8145C5C6, 0x120116D4,
+    0x812A1A39, 0x1139F0CE,
+    0x810FA7A0, 0x1072A047,
+    0x80F66E3C, 0x0FAB272B,
+    0x80DE6E4C, 0x0EE38765,
+    0x80C7A80A, 0x0E1BC2E3,
+    0x80B21BAF, 0x0D53DB92,
+    0x809DC970, 0x0C8BD35E,
+    0x808AB180, 0x0BC3AC35,
+    0x8078D40D, 0x0AFB6805,
+    0x80683143, 0x0A3308BC,
+    0x8058C94C, 0x096A9049,
+    0x804A9C4D, 0x08A2009A,
+    0x803DAA69, 0x07D95B9E,
+    0x8031F3C1, 0x0710A344,
+    0x80277872, 0x0647D97C,
+    0x801E3894, 0x057F0034,
+    0x80163440, 0x04B6195D,
+    0x800F6B88, 0x03ED26E6,
+    0x8009DE7D, 0x03242ABF,
+    0x80058D2E, 0x025B26D7,
+    0x800277A5, 0x01921D1F,
+    0x80009DE9, 0x00C90F88,
+    0x80000000, 0x00000000,
+    0x80009DE9, 0xFF36F078,
+    0x800277A5, 0xFE6DE2E0,
+    0x80058D2E, 0xFDA4D928,
+    0x8009DE7D, 0xFCDBD541,
+    0x800F6B88, 0xFC12D919,
+    0x80163440, 0xFB49E6A2,
+    0x801E3894, 0xFA80FFCB,
+    0x80277872, 0xF9B82683,
+    0x8031F3C1, 0xF8EF5CBB,
+    0x803DAA69, 0xF826A461,
+    0x804A9C4D, 0xF75DFF65,
+    0x8058C94C, 0xF6956FB6,
+    0x80683143, 0xF5CCF743,
+    0x8078D40D, 0xF50497FA,
+    0x808AB180, 0xF43C53CA,
+    0x809DC970, 0xF3742CA1,
+    0x80B21BAF, 0xF2AC246D,
+    0x80C7A80A, 0xF1E43D1C,
+    0x80DE6E4C, 0xF11C789A,
+    0x80F66E3C, 0xF054D8D4,
+    0x810FA7A0, 0xEF8D5FB8,
+    0x812A1A39, 0xEEC60F31,
+    0x8145C5C6, 0xEDFEE92B,
+    0x8162AA03, 0xED37EF91,
+    0x8180C6A9, 0xEC71244F,
+    0x81A01B6C, 0xEBAA894E,
+    0x81C0A801, 0xEAE4207A,
+    0x81E26C16, 0xEA1DEBBB,
+    0x82056758, 0xE957ECFB,
+    0x82299971, 0xE8922621,
+    0x824F0208, 0xE7CC9917,
+    0x8275A0C0, 0xE70747C3,
+    0x829D753A, 0xE642340D,
+    0x82C67F13, 0xE57D5FDA,
+    0x82F0BDE8, 0xE4B8CD10,
+    0x831C314E, 0xE3F47D95,
+    0x8348D8DB, 0xE330734C,
+    0x8376B422, 0xE26CB01A,
+    0x83A5C2B0, 0xE1A935E1,
+    0x83D60411, 0xE0E60684,
+    0x840777CF, 0xE02323E5,
+    0x843A1D70, 0xDF608FE3,
+    0x846DF476, 0xDE9E4C60,
+    0x84A2FC62, 0xDDDC5B3A,
+    0x84D934B0, 0xDD1ABE51,
+    0x85109CDC, 0xDC597781,
+    0x8549345C, 0xDB9888A8,
+    0x8582FAA4, 0xDAD7F3A2,
+    0x85BDEF27, 0xDA17BA4A,
+    0x85FA1152, 0xD957DE7A,
+    0x86376092, 0xD898620C,
+    0x8675DC4E, 0xD7D946D7,
+    0x86B583EE, 0xD71A8EB5,
+    0x86F656D3, 0xD65C3B7B,
+    0x8738545E, 0xD59E4EFE,
+    0x877B7BEC, 0xD4E0CB14,
+    0x87BFCCD7, 0xD423B190,
+    0x88054677, 0xD3670445,
+    0x884BE820, 0xD2AAC504,
+    0x8893B124, 0xD1EEF59E,
+    0x88DCA0D3, 0xD13397E1,
+    0x8926B677, 0xD078AD9D,
+    0x8971F15A, 0xCFBE389F,
+    0x89BE50C3, 0xCF043AB2,
+    0x8A0BD3F5, 0xCE4AB5A2,
+    0x8A5A7A30, 0xCD91AB38,
+    0x8AAA42B4, 0xCCD91D3D,
+    0x8AFB2CBA, 0xCC210D78,
+    0x8B4D377C, 0xCB697DB0,
+    0x8BA0622F, 0xCAB26FA9,
+    0x8BF4AC05, 0xC9FBE527,
+    0x8C4A142F, 0xC945DFEC,
+    0x8CA099D9, 0xC89061BA,
+    0x8CF83C30, 0xC7DB6C50,
+    0x8D50FA59, 0xC727016C,
+    0x8DAAD37B, 0xC67322CD,
+    0x8E05C6B7, 0xC5BFD22E,
+    0x8E61D32D, 0xC50D1148,
+    0x8EBEF7FB, 0xC45AE1D7,
+    0x8F1D343A, 0xC3A9458F,
+    0x8F7C8701, 0xC2F83E2A,
+    0x8FDCEF66, 0xC247CD5A,
+    0x903E6C7A, 0xC197F4D3,
+    0x90A0FD4E, 0xC0E8B648,
+    0x9104A0ED, 0xC03A1368,
+    0x91695663, 0xBF8C0DE2,
+    0x91CF1CB6, 0xBEDEA765,
+    0x9235F2EB, 0xBE31E19B,
+    0x929DD805, 0xBD85BE2F,
+    0x9306CB04, 0xBCDA3ECA,
+    0x9370CAE4, 0xBC2F6513,
+    0x93DBD69F, 0xBB8532AF,
+    0x9447ED2F, 0xBADBA943,
+    0x94B50D87, 0xBA32CA70,
+    0x9523369B, 0xB98A97D8,
+    0x9592675B, 0xB8E31319,
+    0x96029EB5, 0xB83C3DD1,
+    0x9673DB94, 0xB796199B,
+    0x96E61CDF, 0xB6F0A811,
+    0x9759617E, 0xB64BEACC,
+    0x97CDA855, 0xB5A7E362,
+    0x9842F043, 0xB5049368,
+    0x98B93828, 0xB461FC70,
+    0x99307EE0, 0xB3C0200C,
+    0x99A8C344, 0xB31EFFCB,
+    0x9A22042C, 0xB27E9D3B,
+    0x9A9C406D, 0xB1DEF9E8,
+    0x9B1776D9, 0xB140175B,
+    0x9B93A640, 0xB0A1F71C,
+    0x9C10CD70, 0xB0049AB2,
+    0x9C8EEB33, 0xAF6803A1,
+    0x9D0DFE53, 0xAECC336B,
+    0x9D8E0596, 0xAE312B91,
+    0x9E0EFFC1, 0xAD96ED91,
+    0x9E90EB94, 0xACFD7AE8,
+    0x9F13C7D0, 0xAC64D510,
+    0x9F979331, 0xABCCFD82,
+    0xA01C4C72, 0xAB35F5B5,
+    0xA0A1F24C, 0xAA9FBF1D,
+    0xA1288376, 0xAA0A5B2D,
+    0xA1AFFEA2, 0xA975CB56,
+    0xA2386283, 0xA8E21106,
+    0xA2C1ADC9, 0xA84F2DA9,
+    0xA34BDF20, 0xA7BD22AB,
+    0xA3D6F533, 0xA72BF173,
+    0xA462EEAC, 0xA69B9B68,
+    0xA4EFCA31, 0xA60C21ED,
+    0xA57D8666, 0xA57D8666,
+    0xA60C21ED, 0xA4EFCA31,
+    0xA69B9B68, 0xA462EEAC,
+    0xA72BF173, 0xA3D6F533,
+    0xA7BD22AB, 0xA34BDF20,
+    0xA84F2DA9, 0xA2C1ADC9,
+    0xA8E21106, 0xA2386283,
+    0xA975CB56, 0xA1AFFEA2,
+    0xAA0A5B2D, 0xA1288376,
+    0xAA9FBF1D, 0xA0A1F24C,
+    0xAB35F5B5, 0xA01C4C72,
+    0xABCCFD82, 0x9F979331,
+    0xAC64D510, 0x9F13C7D0,
+    0xACFD7AE8, 0x9E90EB94,
+    0xAD96ED91, 0x9E0EFFC1,
+    0xAE312B91, 0x9D8E0596,
+    0xAECC336B, 0x9D0DFE53,
+    0xAF6803A1, 0x9C8EEB33,
+    0xB0049AB2, 0x9C10CD70,
+    0xB0A1F71C, 0x9B93A640,
+    0xB140175B, 0x9B1776D9,
+    0xB1DEF9E8, 0x9A9C406D,
+    0xB27E9D3B, 0x9A22042C,
+    0xB31EFFCB, 0x99A8C344,
+    0xB3C0200C, 0x99307EE0,
+    0xB461FC70, 0x98B93828,
+    0xB5049368, 0x9842F043,
+    0xB5A7E362, 0x97CDA855,
+    0xB64BEACC, 0x9759617E,
+    0xB6F0A811, 0x96E61CDF,
+    0xB796199B, 0x9673DB94,
+    0xB83C3DD1, 0x96029EB5,
+    0xB8E31319, 0x9592675B,
+    0xB98A97D8, 0x9523369B,
+    0xBA32CA70, 0x94B50D87,
+    0xBADBA943, 0x9447ED2F,
+    0xBB8532AF, 0x93DBD69F,
+    0xBC2F6513, 0x9370CAE4,
+    0xBCDA3ECA, 0x9306CB04,
+    0xBD85BE2F, 0x929DD805,
+    0xBE31E19B, 0x9235F2EB,
+    0xBEDEA765, 0x91CF1CB6,
+    0xBF8C0DE2, 0x91695663,
+    0xC03A1368, 0x9104A0ED,
+    0xC0E8B648, 0x90A0FD4E,
+    0xC197F4D3, 0x903E6C7A,
+    0xC247CD5A, 0x8FDCEF66,
+    0xC2F83E2A, 0x8F7C8701,
+    0xC3A9458F, 0x8F1D343A,
+    0xC45AE1D7, 0x8EBEF7FB,
+    0xC50D1148, 0x8E61D32D,
+    0xC5BFD22E, 0x8E05C6B7,
+    0xC67322CD, 0x8DAAD37B,
+    0xC727016C, 0x8D50FA59,
+    0xC7DB6C50, 0x8CF83C30,
+    0xC89061BA, 0x8CA099D9,
+    0xC945DFEC, 0x8C4A142F,
+    0xC9FBE527, 0x8BF4AC05,
+    0xCAB26FA9, 0x8BA0622F,
+    0xCB697DB0, 0x8B4D377C,
+    0xCC210D78, 0x8AFB2CBA,
+    0xCCD91D3D, 0x8AAA42B4,
+    0xCD91AB38, 0x8A5A7A30,
+    0xCE4AB5A2, 0x8A0BD3F5,
+    0xCF043AB2, 0x89BE50C3,
+    0xCFBE389F, 0x8971F15A,
+    0xD078AD9D, 0x8926B677,
+    0xD13397E1, 0x88DCA0D3,
+    0xD1EEF59E, 0x8893B124,
+    0xD2AAC504, 0x884BE820,
+    0xD3670445, 0x88054677,
+    0xD423B190, 0x87BFCCD7,
+    0xD4E0CB14, 0x877B7BEC,
+    0xD59E4EFE, 0x8738545E,
+    0xD65C3B7B, 0x86F656D3,
+    0xD71A8EB5, 0x86B583EE,
+    0xD7D946D7, 0x8675DC4E,
+    0xD898620C, 0x86376092,
+    0xD957DE7A, 0x85FA1152,
+    0xDA17BA4A, 0x85BDEF27,
+    0xDAD7F3A2, 0x8582FAA4,
+    0xDB9888A8, 0x8549345C,
+    0xDC597781, 0x85109CDC,
+    0xDD1ABE51, 0x84D934B0,
+    0xDDDC5B3A, 0x84A2FC62,
+    0xDE9E4C60, 0x846DF476,
+    0xDF608FE3, 0x843A1D70,
+    0xE02323E5, 0x840777CF,
+    0xE0E60684, 0x83D60411,
+    0xE1A935E1, 0x83A5C2B0,
+    0xE26CB01A, 0x8376B422,
+    0xE330734C, 0x8348D8DB,
+    0xE3F47D95, 0x831C314E,
+    0xE4B8CD10, 0x82F0BDE8,
+    0xE57D5FDA, 0x82C67F13,
+    0xE642340D, 0x829D753A,
+    0xE70747C3, 0x8275A0C0,
+    0xE7CC9917, 0x824F0208,
+    0xE8922621, 0x82299971,
+    0xE957ECFB, 0x82056758,
+    0xEA1DEBBB, 0x81E26C16,
+    0xEAE4207A, 0x81C0A801,
+    0xEBAA894E, 0x81A01B6C,
+    0xEC71244F, 0x8180C6A9,
+    0xED37EF91, 0x8162AA03,
+    0xEDFEE92B, 0x8145C5C6,
+    0xEEC60F31, 0x812A1A39,
+    0xEF8D5FB8, 0x810FA7A0,
+    0xF054D8D4, 0x80F66E3C,
+    0xF11C789A, 0x80DE6E4C,
+    0xF1E43D1C, 0x80C7A80A,
+    0xF2AC246D, 0x80B21BAF,
+    0xF3742CA1, 0x809DC970,
+    0xF43C53CA, 0x808AB180,
+    0xF50497FA, 0x8078D40D,
+    0xF5CCF743, 0x80683143,
+    0xF6956FB6, 0x8058C94C,
+    0xF75DFF65, 0x804A9C4D,
+    0xF826A461, 0x803DAA69,
+    0xF8EF5CBB, 0x8031F3C1,
+    0xF9B82683, 0x80277872,
+    0xFA80FFCB, 0x801E3894,
+    0xFB49E6A2, 0x80163440,
+    0xFC12D919, 0x800F6B88,
+    0xFCDBD541, 0x8009DE7D,
+    0xFDA4D928, 0x80058D2E,
+    0xFE6DE2E0, 0x800277A5,
+    0xFF36F078, 0x80009DE9
+};
+
+/**    
+* \par   
+* Example code for Q31 Twiddle factors Generation::    
+* \par    
+* <pre>for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 2048	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are interleaved fashion    
+* \par    
+* Convert Floating point to Q31(Fixed point 1.31):    
+*	round(twiddleCoefQ31(i) * pow(2, 31))    
+*    
+*/
+const q31_t twiddleCoef_2048_q31[3072] = {
+    0x7FFFFFFF, 0x00000000,
+    0x7FFFD885, 0x006487E3,
+    0x7FFF6216, 0x00C90F88,
+    0x7FFE9CB2, 0x012D96B0,
+    0x7FFD885A, 0x01921D1F,
+    0x7FFC250F, 0x01F6A296,
+    0x7FFA72D1, 0x025B26D7,
+    0x7FF871A1, 0x02BFA9A4,
+    0x7FF62182, 0x03242ABF,
+    0x7FF38273, 0x0388A9E9,
+    0x7FF09477, 0x03ED26E6,
+    0x7FED5790, 0x0451A176,
+    0x7FE9CBC0, 0x04B6195D,
+    0x7FE5F108, 0x051A8E5C,
+    0x7FE1C76B, 0x057F0034,
+    0x7FDD4EEC, 0x05E36EA9,
+    0x7FD8878D, 0x0647D97C,
+    0x7FD37152, 0x06AC406F,
+    0x7FCE0C3E, 0x0710A344,
+    0x7FC85853, 0x077501BE,
+    0x7FC25596, 0x07D95B9E,
+    0x7FBC040A, 0x083DB0A7,
+    0x7FB563B2, 0x08A2009A,
+    0x7FAE7494, 0x09064B3A,
+    0x7FA736B4, 0x096A9049,
+    0x7F9FAA15, 0x09CECF89,
+    0x7F97CEBC, 0x0A3308BC,
+    0x7F8FA4AF, 0x0A973BA5,
+    0x7F872BF3, 0x0AFB6805,
+    0x7F7E648B, 0x0B5F8D9F,
+    0x7F754E7F, 0x0BC3AC35,
+    0x7F6BE9D4, 0x0C27C389,
+    0x7F62368F, 0x0C8BD35E,
+    0x7F5834B6, 0x0CEFDB75,
+    0x7F4DE450, 0x0D53DB92,
+    0x7F434563, 0x0DB7D376,
+    0x7F3857F5, 0x0E1BC2E3,
+    0x7F2D1C0E, 0x0E7FA99D,
+    0x7F2191B4, 0x0EE38765,
+    0x7F15B8EE, 0x0F475BFE,
+    0x7F0991C3, 0x0FAB272B,
+    0x7EFD1C3C, 0x100EE8AD,
+    0x7EF0585F, 0x1072A047,
+    0x7EE34635, 0x10D64DBC,
+    0x7ED5E5C6, 0x1139F0CE,
+    0x7EC8371A, 0x119D8940,
+    0x7EBA3A39, 0x120116D4,
+    0x7EABEF2C, 0x1264994E,
+    0x7E9D55FC, 0x12C8106E,
+    0x7E8E6EB1, 0x132B7BF9,
+    0x7E7F3956, 0x138EDBB0,
+    0x7E6FB5F3, 0x13F22F57,
+    0x7E5FE493, 0x145576B1,
+    0x7E4FC53E, 0x14B8B17F,
+    0x7E3F57FE, 0x151BDF85,
+    0x7E2E9CDF, 0x157F0086,
+    0x7E1D93E9, 0x15E21444,
+    0x7E0C3D29, 0x16451A83,
+    0x7DFA98A7, 0x16A81305,
+    0x7DE8A670, 0x170AFD8D,
+    0x7DD6668E, 0x176DD9DE,
+    0x7DC3D90D, 0x17D0A7BB,
+    0x7DB0FDF7, 0x183366E8,
+    0x7D9DD55A, 0x18961727,
+    0x7D8A5F3F, 0x18F8B83C,
+    0x7D769BB5, 0x195B49E9,
+    0x7D628AC5, 0x19BDCBF2,
+    0x7D4E2C7E, 0x1A203E1B,
+    0x7D3980EC, 0x1A82A025,
+    0x7D24881A, 0x1AE4F1D6,
+    0x7D0F4218, 0x1B4732EF,
+    0x7CF9AEF0, 0x1BA96334,
+    0x7CE3CEB1, 0x1C0B826A,
+    0x7CCDA168, 0x1C6D9053,
+    0x7CB72724, 0x1CCF8CB3,
+    0x7CA05FF1, 0x1D31774D,
+    0x7C894BDD, 0x1D934FE5,
+    0x7C71EAF8, 0x1DF5163F,
+    0x7C5A3D4F, 0x1E56CA1E,
+    0x7C4242F2, 0x1EB86B46,
+    0x7C29FBEE, 0x1F19F97B,
+    0x7C116853, 0x1F7B7480,
+    0x7BF88830, 0x1FDCDC1A,
+    0x7BDF5B94, 0x203E300D,
+    0x7BC5E28F, 0x209F701C,
+    0x7BAC1D31, 0x21009C0B,
+    0x7B920B89, 0x2161B39F,
+    0x7B77ADA8, 0x21C2B69C,
+    0x7B5D039D, 0x2223A4C5,
+    0x7B420D7A, 0x22847DDF,
+    0x7B26CB4F, 0x22E541AE,
+    0x7B0B3D2C, 0x2345EFF7,
+    0x7AEF6323, 0x23A6887E,
+    0x7AD33D45, 0x24070B07,
+    0x7AB6CBA3, 0x24677757,
+    0x7A9A0E4F, 0x24C7CD32,
+    0x7A7D055B, 0x25280C5D,
+    0x7A5FB0D8, 0x2588349D,
+    0x7A4210D8, 0x25E845B5,
+    0x7A24256E, 0x26483F6C,
+    0x7A05EEAD, 0x26A82185,
+    0x79E76CA6, 0x2707EBC6,
+    0x79C89F6D, 0x27679DF4,
+    0x79A98715, 0x27C737D2,
+    0x798A23B1, 0x2826B928,
+    0x796A7554, 0x288621B9,
+    0x794A7C11, 0x28E5714A,
+    0x792A37FE, 0x2944A7A2,
+    0x7909A92C, 0x29A3C484,
+    0x78E8CFB1, 0x2A02C7B8,
+    0x78C7ABA1, 0x2A61B101,
+    0x78A63D10, 0x2AC08025,
+    0x78848413, 0x2B1F34EB,
+    0x786280BF, 0x2B7DCF17,
+    0x78403328, 0x2BDC4E6F,
+    0x781D9B64, 0x2C3AB2B9,
+    0x77FAB988, 0x2C98FBBA,
+    0x77D78DAA, 0x2CF72939,
+    0x77B417DF, 0x2D553AFB,
+    0x7790583D, 0x2DB330C7,
+    0x776C4EDB, 0x2E110A62,
+    0x7747FBCE, 0x2E6EC792,
+    0x77235F2D, 0x2ECC681E,
+    0x76FE790E, 0x2F29EBCC,
+    0x76D94988, 0x2F875262,
+    0x76B3D0B3, 0x2FE49BA6,
+    0x768E0EA5, 0x3041C760,
+    0x76680376, 0x309ED555,
+    0x7641AF3C, 0x30FBC54D,
+    0x761B1211, 0x3158970D,
+    0x75F42C0A, 0x31B54A5D,
+    0x75CCFD42, 0x3211DF03,
+    0x75A585CF, 0x326E54C7,
+    0x757DC5CA, 0x32CAAB6F,
+    0x7555BD4B, 0x3326E2C2,
+    0x752D6C6C, 0x3382FA88,
+    0x7504D345, 0x33DEF287,
+    0x74DBF1EF, 0x343ACA87,
+    0x74B2C883, 0x3496824F,
+    0x7489571B, 0x34F219A7,
+    0x745F9DD1, 0x354D9056,
+    0x74359CBD, 0x35A8E624,
+    0x740B53FA, 0x36041AD9,
+    0x73E0C3A3, 0x365F2E3B,
+    0x73B5EBD0, 0x36BA2013,
+    0x738ACC9E, 0x3714F02A,
+    0x735F6626, 0x376F9E46,
+    0x7333B883, 0x37CA2A30,
+    0x7307C3D0, 0x382493B0,
+    0x72DB8828, 0x387EDA8E,
+    0x72AF05A6, 0x38D8FE93,
+    0x72823C66, 0x3932FF87,
+    0x72552C84, 0x398CDD32,
+    0x7227D61C, 0x39E6975D,
+    0x71FA3948, 0x3A402DD1,
+    0x71CC5626, 0x3A99A057,
+    0x719E2CD2, 0x3AF2EEB7,
+    0x716FBD68, 0x3B4C18BA,
+    0x71410804, 0x3BA51E29,
+    0x71120CC5, 0x3BFDFECD,
+    0x70E2CBC6, 0x3C56BA70,
+    0x70B34524, 0x3CAF50DA,
+    0x708378FE, 0x3D07C1D5,
+    0x70536771, 0x3D600D2B,
+    0x70231099, 0x3DB832A5,
+    0x6FF27496, 0x3E10320D,
+    0x6FC19385, 0x3E680B2C,
+    0x6F906D84, 0x3EBFBDCC,
+    0x6F5F02B1, 0x3F1749B7,
+    0x6F2D532C, 0x3F6EAEB8,
+    0x6EFB5F12, 0x3FC5EC97,
+    0x6EC92682, 0x401D0320,
+    0x6E96A99C, 0x4073F21D,
+    0x6E63E87F, 0x40CAB957,
+    0x6E30E349, 0x4121589A,
+    0x6DFD9A1B, 0x4177CFB0,
+    0x6DCA0D14, 0x41CE1E64,
+    0x6D963C54, 0x42244480,
+    0x6D6227FA, 0x427A41D0,
+    0x6D2DD027, 0x42D0161E,
+    0x6CF934FB, 0x4325C135,
+    0x6CC45697, 0x437B42E1,
+    0x6C8F351C, 0x43D09AEC,
+    0x6C59D0A9, 0x4425C923,
+    0x6C242960, 0x447ACD50,
+    0x6BEE3F62, 0x44CFA73F,
+    0x6BB812D0, 0x452456BC,
+    0x6B81A3CD, 0x4578DB93,
+    0x6B4AF278, 0x45CD358F,
+    0x6B13FEF5, 0x4621647C,
+    0x6ADCC964, 0x46756827,
+    0x6AA551E8, 0x46C9405C,
+    0x6A6D98A4, 0x471CECE6,
+    0x6A359DB9, 0x47706D93,
+    0x69FD614A, 0x47C3C22E,
+    0x69C4E37A, 0x4816EA85,
+    0x698C246C, 0x4869E664,
+    0x69532442, 0x48BCB598,
+    0x6919E320, 0x490F57EE,
+    0x68E06129, 0x4961CD32,
+    0x68A69E81, 0x49B41533,
+    0x686C9B4B, 0x4A062FBD,
+    0x683257AA, 0x4A581C9D,
+    0x67F7D3C4, 0x4AA9DBA1,
+    0x67BD0FBC, 0x4AFB6C97,
+    0x67820BB6, 0x4B4CCF4D,
+    0x6746C7D7, 0x4B9E038F,
+    0x670B4443, 0x4BEF092D,
+    0x66CF811F, 0x4C3FDFF3,
+    0x66937E90, 0x4C9087B1,
+    0x66573CBB, 0x4CE10034,
+    0x661ABBC5, 0x4D31494B,
+    0x65DDFBD3, 0x4D8162C4,
+    0x65A0FD0B, 0x4DD14C6E,
+    0x6563BF92, 0x4E210617,
+    0x6526438E, 0x4E708F8F,
+    0x64E88926, 0x4EBFE8A4,
+    0x64AA907F, 0x4F0F1126,
+    0x646C59BF, 0x4F5E08E3,
+    0x642DE50D, 0x4FACCFAB,
+    0x63EF328F, 0x4FFB654D,
+    0x63B0426D, 0x5049C999,
+    0x637114CC, 0x5097FC5E,
+    0x6331A9D4, 0x50E5FD6C,
+    0x62F201AC, 0x5133CC94,
+    0x62B21C7B, 0x518169A4,
+    0x6271FA69, 0x51CED46E,
+    0x62319B9D, 0x521C0CC1,
+    0x61F1003E, 0x5269126E,
+    0x61B02876, 0x52B5E545,
+    0x616F146B, 0x53028517,
+    0x612DC446, 0x534EF1B5,
+    0x60EC3830, 0x539B2AEF,
+    0x60AA704F, 0x53E73097,
+    0x60686CCE, 0x5433027D,
+    0x60262DD5, 0x547EA073,
+    0x5FE3B38D, 0x54CA0A4A,
+    0x5FA0FE1E, 0x55153FD4,
+    0x5F5E0DB3, 0x556040E2,
+    0x5F1AE273, 0x55AB0D46,
+    0x5ED77C89, 0x55F5A4D2,
+    0x5E93DC1F, 0x56400757,
+    0x5E50015D, 0x568A34A9,
+    0x5E0BEC6E, 0x56D42C99,
+    0x5DC79D7C, 0x571DEEF9,
+    0x5D8314B0, 0x57677B9D,
+    0x5D3E5236, 0x57B0D256,
+    0x5CF95638, 0x57F9F2F7,
+    0x5CB420DF, 0x5842DD54,
+    0x5C6EB258, 0x588B913F,
+    0x5C290ACC, 0x58D40E8C,
+    0x5BE32A67, 0x591C550E,
+    0x5B9D1153, 0x59646497,
+    0x5B56BFBD, 0x59AC3CFD,
+    0x5B1035CF, 0x59F3DE12,
+    0x5AC973B4, 0x5A3B47AA,
+    0x5A82799A, 0x5A82799A,
+    0x5A3B47AA, 0x5AC973B4,
+    0x59F3DE12, 0x5B1035CF,
+    0x59AC3CFD, 0x5B56BFBD,
+    0x59646497, 0x5B9D1153,
+    0x591C550E, 0x5BE32A67,
+    0x58D40E8C, 0x5C290ACC,
+    0x588B913F, 0x5C6EB258,
+    0x5842DD54, 0x5CB420DF,
+    0x57F9F2F7, 0x5CF95638,
+    0x57B0D256, 0x5D3E5236,
+    0x57677B9D, 0x5D8314B0,
+    0x571DEEF9, 0x5DC79D7C,
+    0x56D42C99, 0x5E0BEC6E,
+    0x568A34A9, 0x5E50015D,
+    0x56400757, 0x5E93DC1F,
+    0x55F5A4D2, 0x5ED77C89,
+    0x55AB0D46, 0x5F1AE273,
+    0x556040E2, 0x5F5E0DB3,
+    0x55153FD4, 0x5FA0FE1E,
+    0x54CA0A4A, 0x5FE3B38D,
+    0x547EA073, 0x60262DD5,
+    0x5433027D, 0x60686CCE,
+    0x53E73097, 0x60AA704F,
+    0x539B2AEF, 0x60EC3830,
+    0x534EF1B5, 0x612DC446,
+    0x53028517, 0x616F146B,
+    0x52B5E545, 0x61B02876,
+    0x5269126E, 0x61F1003E,
+    0x521C0CC1, 0x62319B9D,
+    0x51CED46E, 0x6271FA69,
+    0x518169A4, 0x62B21C7B,
+    0x5133CC94, 0x62F201AC,
+    0x50E5FD6C, 0x6331A9D4,
+    0x5097FC5E, 0x637114CC,
+    0x5049C999, 0x63B0426D,
+    0x4FFB654D, 0x63EF328F,
+    0x4FACCFAB, 0x642DE50D,
+    0x4F5E08E3, 0x646C59BF,
+    0x4F0F1126, 0x64AA907F,
+    0x4EBFE8A4, 0x64E88926,
+    0x4E708F8F, 0x6526438E,
+    0x4E210617, 0x6563BF92,
+    0x4DD14C6E, 0x65A0FD0B,
+    0x4D8162C4, 0x65DDFBD3,
+    0x4D31494B, 0x661ABBC5,
+    0x4CE10034, 0x66573CBB,
+    0x4C9087B1, 0x66937E90,
+    0x4C3FDFF3, 0x66CF811F,
+    0x4BEF092D, 0x670B4443,
+    0x4B9E038F, 0x6746C7D7,
+    0x4B4CCF4D, 0x67820BB6,
+    0x4AFB6C97, 0x67BD0FBC,
+    0x4AA9DBA1, 0x67F7D3C4,
+    0x4A581C9D, 0x683257AA,
+    0x4A062FBD, 0x686C9B4B,
+    0x49B41533, 0x68A69E81,
+    0x4961CD32, 0x68E06129,
+    0x490F57EE, 0x6919E320,
+    0x48BCB598, 0x69532442,
+    0x4869E664, 0x698C246C,
+    0x4816EA85, 0x69C4E37A,
+    0x47C3C22E, 0x69FD614A,
+    0x47706D93, 0x6A359DB9,
+    0x471CECE6, 0x6A6D98A4,
+    0x46C9405C, 0x6AA551E8,
+    0x46756827, 0x6ADCC964,
+    0x4621647C, 0x6B13FEF5,
+    0x45CD358F, 0x6B4AF278,
+    0x4578DB93, 0x6B81A3CD,
+    0x452456BC, 0x6BB812D0,
+    0x44CFA73F, 0x6BEE3F62,
+    0x447ACD50, 0x6C242960,
+    0x4425C923, 0x6C59D0A9,
+    0x43D09AEC, 0x6C8F351C,
+    0x437B42E1, 0x6CC45697,
+    0x4325C135, 0x6CF934FB,
+    0x42D0161E, 0x6D2DD027,
+    0x427A41D0, 0x6D6227FA,
+    0x42244480, 0x6D963C54,
+    0x41CE1E64, 0x6DCA0D14,
+    0x4177CFB0, 0x6DFD9A1B,
+    0x4121589A, 0x6E30E349,
+    0x40CAB957, 0x6E63E87F,
+    0x4073F21D, 0x6E96A99C,
+    0x401D0320, 0x6EC92682,
+    0x3FC5EC97, 0x6EFB5F12,
+    0x3F6EAEB8, 0x6F2D532C,
+    0x3F1749B7, 0x6F5F02B1,
+    0x3EBFBDCC, 0x6F906D84,
+    0x3E680B2C, 0x6FC19385,
+    0x3E10320D, 0x6FF27496,
+    0x3DB832A5, 0x70231099,
+    0x3D600D2B, 0x70536771,
+    0x3D07C1D5, 0x708378FE,
+    0x3CAF50DA, 0x70B34524,
+    0x3C56BA70, 0x70E2CBC6,
+    0x3BFDFECD, 0x71120CC5,
+    0x3BA51E29, 0x71410804,
+    0x3B4C18BA, 0x716FBD68,
+    0x3AF2EEB7, 0x719E2CD2,
+    0x3A99A057, 0x71CC5626,
+    0x3A402DD1, 0x71FA3948,
+    0x39E6975D, 0x7227D61C,
+    0x398CDD32, 0x72552C84,
+    0x3932FF87, 0x72823C66,
+    0x38D8FE93, 0x72AF05A6,
+    0x387EDA8E, 0x72DB8828,
+    0x382493B0, 0x7307C3D0,
+    0x37CA2A30, 0x7333B883,
+    0x376F9E46, 0x735F6626,
+    0x3714F02A, 0x738ACC9E,
+    0x36BA2013, 0x73B5EBD0,
+    0x365F2E3B, 0x73E0C3A3,
+    0x36041AD9, 0x740B53FA,
+    0x35A8E624, 0x74359CBD,
+    0x354D9056, 0x745F9DD1,
+    0x34F219A7, 0x7489571B,
+    0x3496824F, 0x74B2C883,
+    0x343ACA87, 0x74DBF1EF,
+    0x33DEF287, 0x7504D345,
+    0x3382FA88, 0x752D6C6C,
+    0x3326E2C2, 0x7555BD4B,
+    0x32CAAB6F, 0x757DC5CA,
+    0x326E54C7, 0x75A585CF,
+    0x3211DF03, 0x75CCFD42,
+    0x31B54A5D, 0x75F42C0A,
+    0x3158970D, 0x761B1211,
+    0x30FBC54D, 0x7641AF3C,
+    0x309ED555, 0x76680376,
+    0x3041C760, 0x768E0EA5,
+    0x2FE49BA6, 0x76B3D0B3,
+    0x2F875262, 0x76D94988,
+    0x2F29EBCC, 0x76FE790E,
+    0x2ECC681E, 0x77235F2D,
+    0x2E6EC792, 0x7747FBCE,
+    0x2E110A62, 0x776C4EDB,
+    0x2DB330C7, 0x7790583D,
+    0x2D553AFB, 0x77B417DF,
+    0x2CF72939, 0x77D78DAA,
+    0x2C98FBBA, 0x77FAB988,
+    0x2C3AB2B9, 0x781D9B64,
+    0x2BDC4E6F, 0x78403328,
+    0x2B7DCF17, 0x786280BF,
+    0x2B1F34EB, 0x78848413,
+    0x2AC08025, 0x78A63D10,
+    0x2A61B101, 0x78C7ABA1,
+    0x2A02C7B8, 0x78E8CFB1,
+    0x29A3C484, 0x7909A92C,
+    0x2944A7A2, 0x792A37FE,
+    0x28E5714A, 0x794A7C11,
+    0x288621B9, 0x796A7554,
+    0x2826B928, 0x798A23B1,
+    0x27C737D2, 0x79A98715,
+    0x27679DF4, 0x79C89F6D,
+    0x2707EBC6, 0x79E76CA6,
+    0x26A82185, 0x7A05EEAD,
+    0x26483F6C, 0x7A24256E,
+    0x25E845B5, 0x7A4210D8,
+    0x2588349D, 0x7A5FB0D8,
+    0x25280C5D, 0x7A7D055B,
+    0x24C7CD32, 0x7A9A0E4F,
+    0x24677757, 0x7AB6CBA3,
+    0x24070B07, 0x7AD33D45,
+    0x23A6887E, 0x7AEF6323,
+    0x2345EFF7, 0x7B0B3D2C,
+    0x22E541AE, 0x7B26CB4F,
+    0x22847DDF, 0x7B420D7A,
+    0x2223A4C5, 0x7B5D039D,
+    0x21C2B69C, 0x7B77ADA8,
+    0x2161B39F, 0x7B920B89,
+    0x21009C0B, 0x7BAC1D31,
+    0x209F701C, 0x7BC5E28F,
+    0x203E300D, 0x7BDF5B94,
+    0x1FDCDC1A, 0x7BF88830,
+    0x1F7B7480, 0x7C116853,
+    0x1F19F97B, 0x7C29FBEE,
+    0x1EB86B46, 0x7C4242F2,
+    0x1E56CA1E, 0x7C5A3D4F,
+    0x1DF5163F, 0x7C71EAF8,
+    0x1D934FE5, 0x7C894BDD,
+    0x1D31774D, 0x7CA05FF1,
+    0x1CCF8CB3, 0x7CB72724,
+    0x1C6D9053, 0x7CCDA168,
+    0x1C0B826A, 0x7CE3CEB1,
+    0x1BA96334, 0x7CF9AEF0,
+    0x1B4732EF, 0x7D0F4218,
+    0x1AE4F1D6, 0x7D24881A,
+    0x1A82A025, 0x7D3980EC,
+    0x1A203E1B, 0x7D4E2C7E,
+    0x19BDCBF2, 0x7D628AC5,
+    0x195B49E9, 0x7D769BB5,
+    0x18F8B83C, 0x7D8A5F3F,
+    0x18961727, 0x7D9DD55A,
+    0x183366E8, 0x7DB0FDF7,
+    0x17D0A7BB, 0x7DC3D90D,
+    0x176DD9DE, 0x7DD6668E,
+    0x170AFD8D, 0x7DE8A670,
+    0x16A81305, 0x7DFA98A7,
+    0x16451A83, 0x7E0C3D29,
+    0x15E21444, 0x7E1D93E9,
+    0x157F0086, 0x7E2E9CDF,
+    0x151BDF85, 0x7E3F57FE,
+    0x14B8B17F, 0x7E4FC53E,
+    0x145576B1, 0x7E5FE493,
+    0x13F22F57, 0x7E6FB5F3,
+    0x138EDBB0, 0x7E7F3956,
+    0x132B7BF9, 0x7E8E6EB1,
+    0x12C8106E, 0x7E9D55FC,
+    0x1264994E, 0x7EABEF2C,
+    0x120116D4, 0x7EBA3A39,
+    0x119D8940, 0x7EC8371A,
+    0x1139F0CE, 0x7ED5E5C6,
+    0x10D64DBC, 0x7EE34635,
+    0x1072A047, 0x7EF0585F,
+    0x100EE8AD, 0x7EFD1C3C,
+    0x0FAB272B, 0x7F0991C3,
+    0x0F475BFE, 0x7F15B8EE,
+    0x0EE38765, 0x7F2191B4,
+    0x0E7FA99D, 0x7F2D1C0E,
+    0x0E1BC2E3, 0x7F3857F5,
+    0x0DB7D376, 0x7F434563,
+    0x0D53DB92, 0x7F4DE450,
+    0x0CEFDB75, 0x7F5834B6,
+    0x0C8BD35E, 0x7F62368F,
+    0x0C27C389, 0x7F6BE9D4,
+    0x0BC3AC35, 0x7F754E7F,
+    0x0B5F8D9F, 0x7F7E648B,
+    0x0AFB6805, 0x7F872BF3,
+    0x0A973BA5, 0x7F8FA4AF,
+    0x0A3308BC, 0x7F97CEBC,
+    0x09CECF89, 0x7F9FAA15,
+    0x096A9049, 0x7FA736B4,
+    0x09064B3A, 0x7FAE7494,
+    0x08A2009A, 0x7FB563B2,
+    0x083DB0A7, 0x7FBC040A,
+    0x07D95B9E, 0x7FC25596,
+    0x077501BE, 0x7FC85853,
+    0x0710A344, 0x7FCE0C3E,
+    0x06AC406F, 0x7FD37152,
+    0x0647D97C, 0x7FD8878D,
+    0x05E36EA9, 0x7FDD4EEC,
+    0x057F0034, 0x7FE1C76B,
+    0x051A8E5C, 0x7FE5F108,
+    0x04B6195D, 0x7FE9CBC0,
+    0x0451A176, 0x7FED5790,
+    0x03ED26E6, 0x7FF09477,
+    0x0388A9E9, 0x7FF38273,
+    0x03242ABF, 0x7FF62182,
+    0x02BFA9A4, 0x7FF871A1,
+    0x025B26D7, 0x7FFA72D1,
+    0x01F6A296, 0x7FFC250F,
+    0x01921D1F, 0x7FFD885A,
+    0x012D96B0, 0x7FFE9CB2,
+    0x00C90F88, 0x7FFF6216,
+    0x006487E3, 0x7FFFD885,
+    0x00000000, 0x7FFFFFFF,
+    0xFF9B781D, 0x7FFFD885,
+    0xFF36F078, 0x7FFF6216,
+    0xFED2694F, 0x7FFE9CB2,
+    0xFE6DE2E0, 0x7FFD885A,
+    0xFE095D69, 0x7FFC250F,
+    0xFDA4D928, 0x7FFA72D1,
+    0xFD40565B, 0x7FF871A1,
+    0xFCDBD541, 0x7FF62182,
+    0xFC775616, 0x7FF38273,
+    0xFC12D919, 0x7FF09477,
+    0xFBAE5E89, 0x7FED5790,
+    0xFB49E6A2, 0x7FE9CBC0,
+    0xFAE571A4, 0x7FE5F108,
+    0xFA80FFCB, 0x7FE1C76B,
+    0xFA1C9156, 0x7FDD4EEC,
+    0xF9B82683, 0x7FD8878D,
+    0xF953BF90, 0x7FD37152,
+    0xF8EF5CBB, 0x7FCE0C3E,
+    0xF88AFE41, 0x7FC85853,
+    0xF826A461, 0x7FC25596,
+    0xF7C24F58, 0x7FBC040A,
+    0xF75DFF65, 0x7FB563B2,
+    0xF6F9B4C5, 0x7FAE7494,
+    0xF6956FB6, 0x7FA736B4,
+    0xF6313076, 0x7F9FAA15,
+    0xF5CCF743, 0x7F97CEBC,
+    0xF568C45A, 0x7F8FA4AF,
+    0xF50497FA, 0x7F872BF3,
+    0xF4A07260, 0x7F7E648B,
+    0xF43C53CA, 0x7F754E7F,
+    0xF3D83C76, 0x7F6BE9D4,
+    0xF3742CA1, 0x7F62368F,
+    0xF310248A, 0x7F5834B6,
+    0xF2AC246D, 0x7F4DE450,
+    0xF2482C89, 0x7F434563,
+    0xF1E43D1C, 0x7F3857F5,
+    0xF1805662, 0x7F2D1C0E,
+    0xF11C789A, 0x7F2191B4,
+    0xF0B8A401, 0x7F15B8EE,
+    0xF054D8D4, 0x7F0991C3,
+    0xEFF11752, 0x7EFD1C3C,
+    0xEF8D5FB8, 0x7EF0585F,
+    0xEF29B243, 0x7EE34635,
+    0xEEC60F31, 0x7ED5E5C6,
+    0xEE6276BF, 0x7EC8371A,
+    0xEDFEE92B, 0x7EBA3A39,
+    0xED9B66B2, 0x7EABEF2C,
+    0xED37EF91, 0x7E9D55FC,
+    0xECD48406, 0x7E8E6EB1,
+    0xEC71244F, 0x7E7F3956,
+    0xEC0DD0A8, 0x7E6FB5F3,
+    0xEBAA894E, 0x7E5FE493,
+    0xEB474E80, 0x7E4FC53E,
+    0xEAE4207A, 0x7E3F57FE,
+    0xEA80FF79, 0x7E2E9CDF,
+    0xEA1DEBBB, 0x7E1D93E9,
+    0xE9BAE57C, 0x7E0C3D29,
+    0xE957ECFB, 0x7DFA98A7,
+    0xE8F50273, 0x7DE8A670,
+    0xE8922621, 0x7DD6668E,
+    0xE82F5844, 0x7DC3D90D,
+    0xE7CC9917, 0x7DB0FDF7,
+    0xE769E8D8, 0x7D9DD55A,
+    0xE70747C3, 0x7D8A5F3F,
+    0xE6A4B616, 0x7D769BB5,
+    0xE642340D, 0x7D628AC5,
+    0xE5DFC1E4, 0x7D4E2C7E,
+    0xE57D5FDA, 0x7D3980EC,
+    0xE51B0E2A, 0x7D24881A,
+    0xE4B8CD10, 0x7D0F4218,
+    0xE4569CCB, 0x7CF9AEF0,
+    0xE3F47D95, 0x7CE3CEB1,
+    0xE3926FAC, 0x7CCDA168,
+    0xE330734C, 0x7CB72724,
+    0xE2CE88B2, 0x7CA05FF1,
+    0xE26CB01A, 0x7C894BDD,
+    0xE20AE9C1, 0x7C71EAF8,
+    0xE1A935E1, 0x7C5A3D4F,
+    0xE14794B9, 0x7C4242F2,
+    0xE0E60684, 0x7C29FBEE,
+    0xE0848B7F, 0x7C116853,
+    0xE02323E5, 0x7BF88830,
+    0xDFC1CFF2, 0x7BDF5B94,
+    0xDF608FE3, 0x7BC5E28F,
+    0xDEFF63F4, 0x7BAC1D31,
+    0xDE9E4C60, 0x7B920B89,
+    0xDE3D4963, 0x7B77ADA8,
+    0xDDDC5B3A, 0x7B5D039D,
+    0xDD7B8220, 0x7B420D7A,
+    0xDD1ABE51, 0x7B26CB4F,
+    0xDCBA1008, 0x7B0B3D2C,
+    0xDC597781, 0x7AEF6323,
+    0xDBF8F4F8, 0x7AD33D45,
+    0xDB9888A8, 0x7AB6CBA3,
+    0xDB3832CD, 0x7A9A0E4F,
+    0xDAD7F3A2, 0x7A7D055B,
+    0xDA77CB62, 0x7A5FB0D8,
+    0xDA17BA4A, 0x7A4210D8,
+    0xD9B7C093, 0x7A24256E,
+    0xD957DE7A, 0x7A05EEAD,
+    0xD8F81439, 0x79E76CA6,
+    0xD898620C, 0x79C89F6D,
+    0xD838C82D, 0x79A98715,
+    0xD7D946D7, 0x798A23B1,
+    0xD779DE46, 0x796A7554,
+    0xD71A8EB5, 0x794A7C11,
+    0xD6BB585D, 0x792A37FE,
+    0xD65C3B7B, 0x7909A92C,
+    0xD5FD3847, 0x78E8CFB1,
+    0xD59E4EFE, 0x78C7ABA1,
+    0xD53F7FDA, 0x78A63D10,
+    0xD4E0CB14, 0x78848413,
+    0xD48230E8, 0x786280BF,
+    0xD423B190, 0x78403328,
+    0xD3C54D46, 0x781D9B64,
+    0xD3670445, 0x77FAB988,
+    0xD308D6C6, 0x77D78DAA,
+    0xD2AAC504, 0x77B417DF,
+    0xD24CCF38, 0x7790583D,
+    0xD1EEF59E, 0x776C4EDB,
+    0xD191386D, 0x7747FBCE,
+    0xD13397E1, 0x77235F2D,
+    0xD0D61433, 0x76FE790E,
+    0xD078AD9D, 0x76D94988,
+    0xD01B6459, 0x76B3D0B3,
+    0xCFBE389F, 0x768E0EA5,
+    0xCF612AAA, 0x76680376,
+    0xCF043AB2, 0x7641AF3C,
+    0xCEA768F2, 0x761B1211,
+    0xCE4AB5A2, 0x75F42C0A,
+    0xCDEE20FC, 0x75CCFD42,
+    0xCD91AB38, 0x75A585CF,
+    0xCD355490, 0x757DC5CA,
+    0xCCD91D3D, 0x7555BD4B,
+    0xCC7D0577, 0x752D6C6C,
+    0xCC210D78, 0x7504D345,
+    0xCBC53578, 0x74DBF1EF,
+    0xCB697DB0, 0x74B2C883,
+    0xCB0DE658, 0x7489571B,
+    0xCAB26FA9, 0x745F9DD1,
+    0xCA5719DB, 0x74359CBD,
+    0xC9FBE527, 0x740B53FA,
+    0xC9A0D1C4, 0x73E0C3A3,
+    0xC945DFEC, 0x73B5EBD0,
+    0xC8EB0FD6, 0x738ACC9E,
+    0xC89061BA, 0x735F6626,
+    0xC835D5D0, 0x7333B883,
+    0xC7DB6C50, 0x7307C3D0,
+    0xC7812571, 0x72DB8828,
+    0xC727016C, 0x72AF05A6,
+    0xC6CD0079, 0x72823C66,
+    0xC67322CD, 0x72552C84,
+    0xC61968A2, 0x7227D61C,
+    0xC5BFD22E, 0x71FA3948,
+    0xC5665FA8, 0x71CC5626,
+    0xC50D1148, 0x719E2CD2,
+    0xC4B3E746, 0x716FBD68,
+    0xC45AE1D7, 0x71410804,
+    0xC4020132, 0x71120CC5,
+    0xC3A9458F, 0x70E2CBC6,
+    0xC350AF25, 0x70B34524,
+    0xC2F83E2A, 0x708378FE,
+    0xC29FF2D4, 0x70536771,
+    0xC247CD5A, 0x70231099,
+    0xC1EFCDF2, 0x6FF27496,
+    0xC197F4D3, 0x6FC19385,
+    0xC1404233, 0x6F906D84,
+    0xC0E8B648, 0x6F5F02B1,
+    0xC0915147, 0x6F2D532C,
+    0xC03A1368, 0x6EFB5F12,
+    0xBFE2FCDF, 0x6EC92682,
+    0xBF8C0DE2, 0x6E96A99C,
+    0xBF3546A8, 0x6E63E87F,
+    0xBEDEA765, 0x6E30E349,
+    0xBE88304F, 0x6DFD9A1B,
+    0xBE31E19B, 0x6DCA0D14,
+    0xBDDBBB7F, 0x6D963C54,
+    0xBD85BE2F, 0x6D6227FA,
+    0xBD2FE9E1, 0x6D2DD027,
+    0xBCDA3ECA, 0x6CF934FB,
+    0xBC84BD1E, 0x6CC45697,
+    0xBC2F6513, 0x6C8F351C,
+    0xBBDA36DC, 0x6C59D0A9,
+    0xBB8532AF, 0x6C242960,
+    0xBB3058C0, 0x6BEE3F62,
+    0xBADBA943, 0x6BB812D0,
+    0xBA87246C, 0x6B81A3CD,
+    0xBA32CA70, 0x6B4AF278,
+    0xB9DE9B83, 0x6B13FEF5,
+    0xB98A97D8, 0x6ADCC964,
+    0xB936BFA3, 0x6AA551E8,
+    0xB8E31319, 0x6A6D98A4,
+    0xB88F926C, 0x6A359DB9,
+    0xB83C3DD1, 0x69FD614A,
+    0xB7E9157A, 0x69C4E37A,
+    0xB796199B, 0x698C246C,
+    0xB7434A67, 0x69532442,
+    0xB6F0A811, 0x6919E320,
+    0xB69E32CD, 0x68E06129,
+    0xB64BEACC, 0x68A69E81,
+    0xB5F9D042, 0x686C9B4B,
+    0xB5A7E362, 0x683257AA,
+    0xB556245E, 0x67F7D3C4,
+    0xB5049368, 0x67BD0FBC,
+    0xB4B330B2, 0x67820BB6,
+    0xB461FC70, 0x6746C7D7,
+    0xB410F6D2, 0x670B4443,
+    0xB3C0200C, 0x66CF811F,
+    0xB36F784E, 0x66937E90,
+    0xB31EFFCB, 0x66573CBB,
+    0xB2CEB6B5, 0x661ABBC5,
+    0xB27E9D3B, 0x65DDFBD3,
+    0xB22EB392, 0x65A0FD0B,
+    0xB1DEF9E8, 0x6563BF92,
+    0xB18F7070, 0x6526438E,
+    0xB140175B, 0x64E88926,
+    0xB0F0EEDA, 0x64AA907F,
+    0xB0A1F71C, 0x646C59BF,
+    0xB0533055, 0x642DE50D,
+    0xB0049AB2, 0x63EF328F,
+    0xAFB63667, 0x63B0426D,
+    0xAF6803A1, 0x637114CC,
+    0xAF1A0293, 0x6331A9D4,
+    0xAECC336B, 0x62F201AC,
+    0xAE7E965B, 0x62B21C7B,
+    0xAE312B91, 0x6271FA69,
+    0xADE3F33E, 0x62319B9D,
+    0xAD96ED91, 0x61F1003E,
+    0xAD4A1ABA, 0x61B02876,
+    0xACFD7AE8, 0x616F146B,
+    0xACB10E4A, 0x612DC446,
+    0xAC64D510, 0x60EC3830,
+    0xAC18CF68, 0x60AA704F,
+    0xABCCFD82, 0x60686CCE,
+    0xAB815F8C, 0x60262DD5,
+    0xAB35F5B5, 0x5FE3B38D,
+    0xAAEAC02B, 0x5FA0FE1E,
+    0xAA9FBF1D, 0x5F5E0DB3,
+    0xAA54F2B9, 0x5F1AE273,
+    0xAA0A5B2D, 0x5ED77C89,
+    0xA9BFF8A8, 0x5E93DC1F,
+    0xA975CB56, 0x5E50015D,
+    0xA92BD366, 0x5E0BEC6E,
+    0xA8E21106, 0x5DC79D7C,
+    0xA8988463, 0x5D8314B0,
+    0xA84F2DA9, 0x5D3E5236,
+    0xA8060D08, 0x5CF95638,
+    0xA7BD22AB, 0x5CB420DF,
+    0xA7746EC0, 0x5C6EB258,
+    0xA72BF173, 0x5C290ACC,
+    0xA6E3AAF2, 0x5BE32A67,
+    0xA69B9B68, 0x5B9D1153,
+    0xA653C302, 0x5B56BFBD,
+    0xA60C21ED, 0x5B1035CF,
+    0xA5C4B855, 0x5AC973B4,
+    0xA57D8666, 0x5A82799A,
+    0xA5368C4B, 0x5A3B47AA,
+    0xA4EFCA31, 0x59F3DE12,
+    0xA4A94042, 0x59AC3CFD,
+    0xA462EEAC, 0x59646497,
+    0xA41CD598, 0x591C550E,
+    0xA3D6F533, 0x58D40E8C,
+    0xA3914DA7, 0x588B913F,
+    0xA34BDF20, 0x5842DD54,
+    0xA306A9C7, 0x57F9F2F7,
+    0xA2C1ADC9, 0x57B0D256,
+    0xA27CEB4F, 0x57677B9D,
+    0xA2386283, 0x571DEEF9,
+    0xA1F41391, 0x56D42C99,
+    0xA1AFFEA2, 0x568A34A9,
+    0xA16C23E1, 0x56400757,
+    0xA1288376, 0x55F5A4D2,
+    0xA0E51D8C, 0x55AB0D46,
+    0xA0A1F24C, 0x556040E2,
+    0xA05F01E1, 0x55153FD4,
+    0xA01C4C72, 0x54CA0A4A,
+    0x9FD9D22A, 0x547EA073,
+    0x9F979331, 0x5433027D,
+    0x9F558FB0, 0x53E73097,
+    0x9F13C7D0, 0x539B2AEF,
+    0x9ED23BB9, 0x534EF1B5,
+    0x9E90EB94, 0x53028517,
+    0x9E4FD789, 0x52B5E545,
+    0x9E0EFFC1, 0x5269126E,
+    0x9DCE6462, 0x521C0CC1,
+    0x9D8E0596, 0x51CED46E,
+    0x9D4DE384, 0x518169A4,
+    0x9D0DFE53, 0x5133CC94,
+    0x9CCE562B, 0x50E5FD6C,
+    0x9C8EEB33, 0x5097FC5E,
+    0x9C4FBD92, 0x5049C999,
+    0x9C10CD70, 0x4FFB654D,
+    0x9BD21AF2, 0x4FACCFAB,
+    0x9B93A640, 0x4F5E08E3,
+    0x9B556F80, 0x4F0F1126,
+    0x9B1776D9, 0x4EBFE8A4,
+    0x9AD9BC71, 0x4E708F8F,
+    0x9A9C406D, 0x4E210617,
+    0x9A5F02F5, 0x4DD14C6E,
+    0x9A22042C, 0x4D8162C4,
+    0x99E5443A, 0x4D31494B,
+    0x99A8C344, 0x4CE10034,
+    0x996C816F, 0x4C9087B1,
+    0x99307EE0, 0x4C3FDFF3,
+    0x98F4BBBC, 0x4BEF092D,
+    0x98B93828, 0x4B9E038F,
+    0x987DF449, 0x4B4CCF4D,
+    0x9842F043, 0x4AFB6C97,
+    0x98082C3B, 0x4AA9DBA1,
+    0x97CDA855, 0x4A581C9D,
+    0x979364B5, 0x4A062FBD,
+    0x9759617E, 0x49B41533,
+    0x971F9ED6, 0x4961CD32,
+    0x96E61CDF, 0x490F57EE,
+    0x96ACDBBD, 0x48BCB598,
+    0x9673DB94, 0x4869E664,
+    0x963B1C85, 0x4816EA85,
+    0x96029EB5, 0x47C3C22E,
+    0x95CA6246, 0x47706D93,
+    0x9592675B, 0x471CECE6,
+    0x955AAE17, 0x46C9405C,
+    0x9523369B, 0x46756827,
+    0x94EC010B, 0x4621647C,
+    0x94B50D87, 0x45CD358F,
+    0x947E5C32, 0x4578DB93,
+    0x9447ED2F, 0x452456BC,
+    0x9411C09D, 0x44CFA73F,
+    0x93DBD69F, 0x447ACD50,
+    0x93A62F56, 0x4425C923,
+    0x9370CAE4, 0x43D09AEC,
+    0x933BA968, 0x437B42E1,
+    0x9306CB04, 0x4325C135,
+    0x92D22FD8, 0x42D0161E,
+    0x929DD805, 0x427A41D0,
+    0x9269C3AC, 0x42244480,
+    0x9235F2EB, 0x41CE1E64,
+    0x920265E4, 0x4177CFB0,
+    0x91CF1CB6, 0x4121589A,
+    0x919C1780, 0x40CAB957,
+    0x91695663, 0x4073F21D,
+    0x9136D97D, 0x401D0320,
+    0x9104A0ED, 0x3FC5EC97,
+    0x90D2ACD3, 0x3F6EAEB8,
+    0x90A0FD4E, 0x3F1749B7,
+    0x906F927B, 0x3EBFBDCC,
+    0x903E6C7A, 0x3E680B2C,
+    0x900D8B69, 0x3E10320D,
+    0x8FDCEF66, 0x3DB832A5,
+    0x8FAC988E, 0x3D600D2B,
+    0x8F7C8701, 0x3D07C1D5,
+    0x8F4CBADB, 0x3CAF50DA,
+    0x8F1D343A, 0x3C56BA70,
+    0x8EEDF33B, 0x3BFDFECD,
+    0x8EBEF7FB, 0x3BA51E29,
+    0x8E904298, 0x3B4C18BA,
+    0x8E61D32D, 0x3AF2EEB7,
+    0x8E33A9D9, 0x3A99A057,
+    0x8E05C6B7, 0x3A402DD1,
+    0x8DD829E4, 0x39E6975D,
+    0x8DAAD37B, 0x398CDD32,
+    0x8D7DC399, 0x3932FF87,
+    0x8D50FA59, 0x38D8FE93,
+    0x8D2477D8, 0x387EDA8E,
+    0x8CF83C30, 0x382493B0,
+    0x8CCC477D, 0x37CA2A30,
+    0x8CA099D9, 0x376F9E46,
+    0x8C753361, 0x3714F02A,
+    0x8C4A142F, 0x36BA2013,
+    0x8C1F3C5C, 0x365F2E3B,
+    0x8BF4AC05, 0x36041AD9,
+    0x8BCA6342, 0x35A8E624,
+    0x8BA0622F, 0x354D9056,
+    0x8B76A8E4, 0x34F219A7,
+    0x8B4D377C, 0x3496824F,
+    0x8B240E10, 0x343ACA87,
+    0x8AFB2CBA, 0x33DEF287,
+    0x8AD29393, 0x3382FA88,
+    0x8AAA42B4, 0x3326E2C2,
+    0x8A823A35, 0x32CAAB6F,
+    0x8A5A7A30, 0x326E54C7,
+    0x8A3302BD, 0x3211DF03,
+    0x8A0BD3F5, 0x31B54A5D,
+    0x89E4EDEE, 0x3158970D,
+    0x89BE50C3, 0x30FBC54D,
+    0x8997FC89, 0x309ED555,
+    0x8971F15A, 0x3041C760,
+    0x894C2F4C, 0x2FE49BA6,
+    0x8926B677, 0x2F875262,
+    0x890186F1, 0x2F29EBCC,
+    0x88DCA0D3, 0x2ECC681E,
+    0x88B80431, 0x2E6EC792,
+    0x8893B124, 0x2E110A62,
+    0x886FA7C2, 0x2DB330C7,
+    0x884BE820, 0x2D553AFB,
+    0x88287255, 0x2CF72939,
+    0x88054677, 0x2C98FBBA,
+    0x87E2649B, 0x2C3AB2B9,
+    0x87BFCCD7, 0x2BDC4E6F,
+    0x879D7F40, 0x2B7DCF17,
+    0x877B7BEC, 0x2B1F34EB,
+    0x8759C2EF, 0x2AC08025,
+    0x8738545E, 0x2A61B101,
+    0x8717304E, 0x2A02C7B8,
+    0x86F656D3, 0x29A3C484,
+    0x86D5C802, 0x2944A7A2,
+    0x86B583EE, 0x28E5714A,
+    0x86958AAB, 0x288621B9,
+    0x8675DC4E, 0x2826B928,
+    0x865678EA, 0x27C737D2,
+    0x86376092, 0x27679DF4,
+    0x86189359, 0x2707EBC6,
+    0x85FA1152, 0x26A82185,
+    0x85DBDA91, 0x26483F6C,
+    0x85BDEF27, 0x25E845B5,
+    0x85A04F28, 0x2588349D,
+    0x8582FAA4, 0x25280C5D,
+    0x8565F1B0, 0x24C7CD32,
+    0x8549345C, 0x24677757,
+    0x852CC2BA, 0x24070B07,
+    0x85109CDC, 0x23A6887E,
+    0x84F4C2D3, 0x2345EFF7,
+    0x84D934B0, 0x22E541AE,
+    0x84BDF285, 0x22847DDF,
+    0x84A2FC62, 0x2223A4C5,
+    0x84885257, 0x21C2B69C,
+    0x846DF476, 0x2161B39F,
+    0x8453E2CE, 0x21009C0B,
+    0x843A1D70, 0x209F701C,
+    0x8420A46B, 0x203E300D,
+    0x840777CF, 0x1FDCDC1A,
+    0x83EE97AC, 0x1F7B7480,
+    0x83D60411, 0x1F19F97B,
+    0x83BDBD0D, 0x1EB86B46,
+    0x83A5C2B0, 0x1E56CA1E,
+    0x838E1507, 0x1DF5163F,
+    0x8376B422, 0x1D934FE5,
+    0x835FA00E, 0x1D31774D,
+    0x8348D8DB, 0x1CCF8CB3,
+    0x83325E97, 0x1C6D9053,
+    0x831C314E, 0x1C0B826A,
+    0x8306510F, 0x1BA96334,
+    0x82F0BDE8, 0x1B4732EF,
+    0x82DB77E5, 0x1AE4F1D6,
+    0x82C67F13, 0x1A82A025,
+    0x82B1D381, 0x1A203E1B,
+    0x829D753A, 0x19BDCBF2,
+    0x8289644A, 0x195B49E9,
+    0x8275A0C0, 0x18F8B83C,
+    0x82622AA5, 0x18961727,
+    0x824F0208, 0x183366E8,
+    0x823C26F2, 0x17D0A7BB,
+    0x82299971, 0x176DD9DE,
+    0x8217598F, 0x170AFD8D,
+    0x82056758, 0x16A81305,
+    0x81F3C2D7, 0x16451A83,
+    0x81E26C16, 0x15E21444,
+    0x81D16320, 0x157F0086,
+    0x81C0A801, 0x151BDF85,
+    0x81B03AC1, 0x14B8B17F,
+    0x81A01B6C, 0x145576B1,
+    0x81904A0C, 0x13F22F57,
+    0x8180C6A9, 0x138EDBB0,
+    0x8171914E, 0x132B7BF9,
+    0x8162AA03, 0x12C8106E,
+    0x815410D3, 0x1264994E,
+    0x8145C5C6, 0x120116D4,
+    0x8137C8E6, 0x119D8940,
+    0x812A1A39, 0x1139F0CE,
+    0x811CB9CA, 0x10D64DBC,
+    0x810FA7A0, 0x1072A047,
+    0x8102E3C3, 0x100EE8AD,
+    0x80F66E3C, 0x0FAB272B,
+    0x80EA4712, 0x0F475BFE,
+    0x80DE6E4C, 0x0EE38765,
+    0x80D2E3F1, 0x0E7FA99D,
+    0x80C7A80A, 0x0E1BC2E3,
+    0x80BCBA9C, 0x0DB7D376,
+    0x80B21BAF, 0x0D53DB92,
+    0x80A7CB49, 0x0CEFDB75,
+    0x809DC970, 0x0C8BD35E,
+    0x8094162B, 0x0C27C389,
+    0x808AB180, 0x0BC3AC35,
+    0x80819B74, 0x0B5F8D9F,
+    0x8078D40D, 0x0AFB6805,
+    0x80705B50, 0x0A973BA5,
+    0x80683143, 0x0A3308BC,
+    0x806055EA, 0x09CECF89,
+    0x8058C94C, 0x096A9049,
+    0x80518B6B, 0x09064B3A,
+    0x804A9C4D, 0x08A2009A,
+    0x8043FBF6, 0x083DB0A7,
+    0x803DAA69, 0x07D95B9E,
+    0x8037A7AC, 0x077501BE,
+    0x8031F3C1, 0x0710A344,
+    0x802C8EAD, 0x06AC406F,
+    0x80277872, 0x0647D97C,
+    0x8022B113, 0x05E36EA9,
+    0x801E3894, 0x057F0034,
+    0x801A0EF7, 0x051A8E5C,
+    0x80163440, 0x04B6195D,
+    0x8012A86F, 0x0451A176,
+    0x800F6B88, 0x03ED26E6,
+    0x800C7D8C, 0x0388A9E9,
+    0x8009DE7D, 0x03242ABF,
+    0x80078E5E, 0x02BFA9A4,
+    0x80058D2E, 0x025B26D7,
+    0x8003DAF0, 0x01F6A296,
+    0x800277A5, 0x01921D1F,
+    0x8001634D, 0x012D96B0,
+    0x80009DE9, 0x00C90F88,
+    0x8000277A, 0x006487E3,
+    0x80000000, 0x00000000,
+    0x8000277A, 0xFF9B781D,
+    0x80009DE9, 0xFF36F078,
+    0x8001634D, 0xFED2694F,
+    0x800277A5, 0xFE6DE2E0,
+    0x8003DAF0, 0xFE095D69,
+    0x80058D2E, 0xFDA4D928,
+    0x80078E5E, 0xFD40565B,
+    0x8009DE7D, 0xFCDBD541,
+    0x800C7D8C, 0xFC775616,
+    0x800F6B88, 0xFC12D919,
+    0x8012A86F, 0xFBAE5E89,
+    0x80163440, 0xFB49E6A2,
+    0x801A0EF7, 0xFAE571A4,
+    0x801E3894, 0xFA80FFCB,
+    0x8022B113, 0xFA1C9156,
+    0x80277872, 0xF9B82683,
+    0x802C8EAD, 0xF953BF90,
+    0x8031F3C1, 0xF8EF5CBB,
+    0x8037A7AC, 0xF88AFE41,
+    0x803DAA69, 0xF826A461,
+    0x8043FBF6, 0xF7C24F58,
+    0x804A9C4D, 0xF75DFF65,
+    0x80518B6B, 0xF6F9B4C5,
+    0x8058C94C, 0xF6956FB6,
+    0x806055EA, 0xF6313076,
+    0x80683143, 0xF5CCF743,
+    0x80705B50, 0xF568C45A,
+    0x8078D40D, 0xF50497FA,
+    0x80819B74, 0xF4A07260,
+    0x808AB180, 0xF43C53CA,
+    0x8094162B, 0xF3D83C76,
+    0x809DC970, 0xF3742CA1,
+    0x80A7CB49, 0xF310248A,
+    0x80B21BAF, 0xF2AC246D,
+    0x80BCBA9C, 0xF2482C89,
+    0x80C7A80A, 0xF1E43D1C,
+    0x80D2E3F1, 0xF1805662,
+    0x80DE6E4C, 0xF11C789A,
+    0x80EA4712, 0xF0B8A401,
+    0x80F66E3C, 0xF054D8D4,
+    0x8102E3C3, 0xEFF11752,
+    0x810FA7A0, 0xEF8D5FB8,
+    0x811CB9CA, 0xEF29B243,
+    0x812A1A39, 0xEEC60F31,
+    0x8137C8E6, 0xEE6276BF,
+    0x8145C5C6, 0xEDFEE92B,
+    0x815410D3, 0xED9B66B2,
+    0x8162AA03, 0xED37EF91,
+    0x8171914E, 0xECD48406,
+    0x8180C6A9, 0xEC71244F,
+    0x81904A0C, 0xEC0DD0A8,
+    0x81A01B6C, 0xEBAA894E,
+    0x81B03AC1, 0xEB474E80,
+    0x81C0A801, 0xEAE4207A,
+    0x81D16320, 0xEA80FF79,
+    0x81E26C16, 0xEA1DEBBB,
+    0x81F3C2D7, 0xE9BAE57C,
+    0x82056758, 0xE957ECFB,
+    0x8217598F, 0xE8F50273,
+    0x82299971, 0xE8922621,
+    0x823C26F2, 0xE82F5844,
+    0x824F0208, 0xE7CC9917,
+    0x82622AA5, 0xE769E8D8,
+    0x8275A0C0, 0xE70747C3,
+    0x8289644A, 0xE6A4B616,
+    0x829D753A, 0xE642340D,
+    0x82B1D381, 0xE5DFC1E4,
+    0x82C67F13, 0xE57D5FDA,
+    0x82DB77E5, 0xE51B0E2A,
+    0x82F0BDE8, 0xE4B8CD10,
+    0x8306510F, 0xE4569CCB,
+    0x831C314E, 0xE3F47D95,
+    0x83325E97, 0xE3926FAC,
+    0x8348D8DB, 0xE330734C,
+    0x835FA00E, 0xE2CE88B2,
+    0x8376B422, 0xE26CB01A,
+    0x838E1507, 0xE20AE9C1,
+    0x83A5C2B0, 0xE1A935E1,
+    0x83BDBD0D, 0xE14794B9,
+    0x83D60411, 0xE0E60684,
+    0x83EE97AC, 0xE0848B7F,
+    0x840777CF, 0xE02323E5,
+    0x8420A46B, 0xDFC1CFF2,
+    0x843A1D70, 0xDF608FE3,
+    0x8453E2CE, 0xDEFF63F4,
+    0x846DF476, 0xDE9E4C60,
+    0x84885257, 0xDE3D4963,
+    0x84A2FC62, 0xDDDC5B3A,
+    0x84BDF285, 0xDD7B8220,
+    0x84D934B0, 0xDD1ABE51,
+    0x84F4C2D3, 0xDCBA1008,
+    0x85109CDC, 0xDC597781,
+    0x852CC2BA, 0xDBF8F4F8,
+    0x8549345C, 0xDB9888A8,
+    0x8565F1B0, 0xDB3832CD,
+    0x8582FAA4, 0xDAD7F3A2,
+    0x85A04F28, 0xDA77CB62,
+    0x85BDEF27, 0xDA17BA4A,
+    0x85DBDA91, 0xD9B7C093,
+    0x85FA1152, 0xD957DE7A,
+    0x86189359, 0xD8F81439,
+    0x86376092, 0xD898620C,
+    0x865678EA, 0xD838C82D,
+    0x8675DC4E, 0xD7D946D7,
+    0x86958AAB, 0xD779DE46,
+    0x86B583EE, 0xD71A8EB5,
+    0x86D5C802, 0xD6BB585D,
+    0x86F656D3, 0xD65C3B7B,
+    0x8717304E, 0xD5FD3847,
+    0x8738545E, 0xD59E4EFE,
+    0x8759C2EF, 0xD53F7FDA,
+    0x877B7BEC, 0xD4E0CB14,
+    0x879D7F40, 0xD48230E8,
+    0x87BFCCD7, 0xD423B190,
+    0x87E2649B, 0xD3C54D46,
+    0x88054677, 0xD3670445,
+    0x88287255, 0xD308D6C6,
+    0x884BE820, 0xD2AAC504,
+    0x886FA7C2, 0xD24CCF38,
+    0x8893B124, 0xD1EEF59E,
+    0x88B80431, 0xD191386D,
+    0x88DCA0D3, 0xD13397E1,
+    0x890186F1, 0xD0D61433,
+    0x8926B677, 0xD078AD9D,
+    0x894C2F4C, 0xD01B6459,
+    0x8971F15A, 0xCFBE389F,
+    0x8997FC89, 0xCF612AAA,
+    0x89BE50C3, 0xCF043AB2,
+    0x89E4EDEE, 0xCEA768F2,
+    0x8A0BD3F5, 0xCE4AB5A2,
+    0x8A3302BD, 0xCDEE20FC,
+    0x8A5A7A30, 0xCD91AB38,
+    0x8A823A35, 0xCD355490,
+    0x8AAA42B4, 0xCCD91D3D,
+    0x8AD29393, 0xCC7D0577,
+    0x8AFB2CBA, 0xCC210D78,
+    0x8B240E10, 0xCBC53578,
+    0x8B4D377C, 0xCB697DB0,
+    0x8B76A8E4, 0xCB0DE658,
+    0x8BA0622F, 0xCAB26FA9,
+    0x8BCA6342, 0xCA5719DB,
+    0x8BF4AC05, 0xC9FBE527,
+    0x8C1F3C5C, 0xC9A0D1C4,
+    0x8C4A142F, 0xC945DFEC,
+    0x8C753361, 0xC8EB0FD6,
+    0x8CA099D9, 0xC89061BA,
+    0x8CCC477D, 0xC835D5D0,
+    0x8CF83C30, 0xC7DB6C50,
+    0x8D2477D8, 0xC7812571,
+    0x8D50FA59, 0xC727016C,
+    0x8D7DC399, 0xC6CD0079,
+    0x8DAAD37B, 0xC67322CD,
+    0x8DD829E4, 0xC61968A2,
+    0x8E05C6B7, 0xC5BFD22E,
+    0x8E33A9D9, 0xC5665FA8,
+    0x8E61D32D, 0xC50D1148,
+    0x8E904298, 0xC4B3E746,
+    0x8EBEF7FB, 0xC45AE1D7,
+    0x8EEDF33B, 0xC4020132,
+    0x8F1D343A, 0xC3A9458F,
+    0x8F4CBADB, 0xC350AF25,
+    0x8F7C8701, 0xC2F83E2A,
+    0x8FAC988E, 0xC29FF2D4,
+    0x8FDCEF66, 0xC247CD5A,
+    0x900D8B69, 0xC1EFCDF2,
+    0x903E6C7A, 0xC197F4D3,
+    0x906F927B, 0xC1404233,
+    0x90A0FD4E, 0xC0E8B648,
+    0x90D2ACD3, 0xC0915147,
+    0x9104A0ED, 0xC03A1368,
+    0x9136D97D, 0xBFE2FCDF,
+    0x91695663, 0xBF8C0DE2,
+    0x919C1780, 0xBF3546A8,
+    0x91CF1CB6, 0xBEDEA765,
+    0x920265E4, 0xBE88304F,
+    0x9235F2EB, 0xBE31E19B,
+    0x9269C3AC, 0xBDDBBB7F,
+    0x929DD805, 0xBD85BE2F,
+    0x92D22FD8, 0xBD2FE9E1,
+    0x9306CB04, 0xBCDA3ECA,
+    0x933BA968, 0xBC84BD1E,
+    0x9370CAE4, 0xBC2F6513,
+    0x93A62F56, 0xBBDA36DC,
+    0x93DBD69F, 0xBB8532AF,
+    0x9411C09D, 0xBB3058C0,
+    0x9447ED2F, 0xBADBA943,
+    0x947E5C32, 0xBA87246C,
+    0x94B50D87, 0xBA32CA70,
+    0x94EC010B, 0xB9DE9B83,
+    0x9523369B, 0xB98A97D8,
+    0x955AAE17, 0xB936BFA3,
+    0x9592675B, 0xB8E31319,
+    0x95CA6246, 0xB88F926C,
+    0x96029EB5, 0xB83C3DD1,
+    0x963B1C85, 0xB7E9157A,
+    0x9673DB94, 0xB796199B,
+    0x96ACDBBD, 0xB7434A67,
+    0x96E61CDF, 0xB6F0A811,
+    0x971F9ED6, 0xB69E32CD,
+    0x9759617E, 0xB64BEACC,
+    0x979364B5, 0xB5F9D042,
+    0x97CDA855, 0xB5A7E362,
+    0x98082C3B, 0xB556245E,
+    0x9842F043, 0xB5049368,
+    0x987DF449, 0xB4B330B2,
+    0x98B93828, 0xB461FC70,
+    0x98F4BBBC, 0xB410F6D2,
+    0x99307EE0, 0xB3C0200C,
+    0x996C816F, 0xB36F784E,
+    0x99A8C344, 0xB31EFFCB,
+    0x99E5443A, 0xB2CEB6B5,
+    0x9A22042C, 0xB27E9D3B,
+    0x9A5F02F5, 0xB22EB392,
+    0x9A9C406D, 0xB1DEF9E8,
+    0x9AD9BC71, 0xB18F7070,
+    0x9B1776D9, 0xB140175B,
+    0x9B556F80, 0xB0F0EEDA,
+    0x9B93A640, 0xB0A1F71C,
+    0x9BD21AF2, 0xB0533055,
+    0x9C10CD70, 0xB0049AB2,
+    0x9C4FBD92, 0xAFB63667,
+    0x9C8EEB33, 0xAF6803A1,
+    0x9CCE562B, 0xAF1A0293,
+    0x9D0DFE53, 0xAECC336B,
+    0x9D4DE384, 0xAE7E965B,
+    0x9D8E0596, 0xAE312B91,
+    0x9DCE6462, 0xADE3F33E,
+    0x9E0EFFC1, 0xAD96ED91,
+    0x9E4FD789, 0xAD4A1ABA,
+    0x9E90EB94, 0xACFD7AE8,
+    0x9ED23BB9, 0xACB10E4A,
+    0x9F13C7D0, 0xAC64D510,
+    0x9F558FB0, 0xAC18CF68,
+    0x9F979331, 0xABCCFD82,
+    0x9FD9D22A, 0xAB815F8C,
+    0xA01C4C72, 0xAB35F5B5,
+    0xA05F01E1, 0xAAEAC02B,
+    0xA0A1F24C, 0xAA9FBF1D,
+    0xA0E51D8C, 0xAA54F2B9,
+    0xA1288376, 0xAA0A5B2D,
+    0xA16C23E1, 0xA9BFF8A8,
+    0xA1AFFEA2, 0xA975CB56,
+    0xA1F41391, 0xA92BD366,
+    0xA2386283, 0xA8E21106,
+    0xA27CEB4F, 0xA8988463,
+    0xA2C1ADC9, 0xA84F2DA9,
+    0xA306A9C7, 0xA8060D08,
+    0xA34BDF20, 0xA7BD22AB,
+    0xA3914DA7, 0xA7746EC0,
+    0xA3D6F533, 0xA72BF173,
+    0xA41CD598, 0xA6E3AAF2,
+    0xA462EEAC, 0xA69B9B68,
+    0xA4A94042, 0xA653C302,
+    0xA4EFCA31, 0xA60C21ED,
+    0xA5368C4B, 0xA5C4B855,
+    0xA57D8666, 0xA57D8666,
+    0xA5C4B855, 0xA5368C4B,
+    0xA60C21ED, 0xA4EFCA31,
+    0xA653C302, 0xA4A94042,
+    0xA69B9B68, 0xA462EEAC,
+    0xA6E3AAF2, 0xA41CD598,
+    0xA72BF173, 0xA3D6F533,
+    0xA7746EC0, 0xA3914DA7,
+    0xA7BD22AB, 0xA34BDF20,
+    0xA8060D08, 0xA306A9C7,
+    0xA84F2DA9, 0xA2C1ADC9,
+    0xA8988463, 0xA27CEB4F,
+    0xA8E21106, 0xA2386283,
+    0xA92BD366, 0xA1F41391,
+    0xA975CB56, 0xA1AFFEA2,
+    0xA9BFF8A8, 0xA16C23E1,
+    0xAA0A5B2D, 0xA1288376,
+    0xAA54F2B9, 0xA0E51D8C,
+    0xAA9FBF1D, 0xA0A1F24C,
+    0xAAEAC02B, 0xA05F01E1,
+    0xAB35F5B5, 0xA01C4C72,
+    0xAB815F8C, 0x9FD9D22A,
+    0xABCCFD82, 0x9F979331,
+    0xAC18CF68, 0x9F558FB0,
+    0xAC64D510, 0x9F13C7D0,
+    0xACB10E4A, 0x9ED23BB9,
+    0xACFD7AE8, 0x9E90EB94,
+    0xAD4A1ABA, 0x9E4FD789,
+    0xAD96ED91, 0x9E0EFFC1,
+    0xADE3F33E, 0x9DCE6462,
+    0xAE312B91, 0x9D8E0596,
+    0xAE7E965B, 0x9D4DE384,
+    0xAECC336B, 0x9D0DFE53,
+    0xAF1A0293, 0x9CCE562B,
+    0xAF6803A1, 0x9C8EEB33,
+    0xAFB63667, 0x9C4FBD92,
+    0xB0049AB2, 0x9C10CD70,
+    0xB0533055, 0x9BD21AF2,
+    0xB0A1F71C, 0x9B93A640,
+    0xB0F0EEDA, 0x9B556F80,
+    0xB140175B, 0x9B1776D9,
+    0xB18F7070, 0x9AD9BC71,
+    0xB1DEF9E8, 0x9A9C406D,
+    0xB22EB392, 0x9A5F02F5,
+    0xB27E9D3B, 0x9A22042C,
+    0xB2CEB6B5, 0x99E5443A,
+    0xB31EFFCB, 0x99A8C344,
+    0xB36F784E, 0x996C816F,
+    0xB3C0200C, 0x99307EE0,
+    0xB410F6D2, 0x98F4BBBC,
+    0xB461FC70, 0x98B93828,
+    0xB4B330B2, 0x987DF449,
+    0xB5049368, 0x9842F043,
+    0xB556245E, 0x98082C3B,
+    0xB5A7E362, 0x97CDA855,
+    0xB5F9D042, 0x979364B5,
+    0xB64BEACC, 0x9759617E,
+    0xB69E32CD, 0x971F9ED6,
+    0xB6F0A811, 0x96E61CDF,
+    0xB7434A67, 0x96ACDBBD,
+    0xB796199B, 0x9673DB94,
+    0xB7E9157A, 0x963B1C85,
+    0xB83C3DD1, 0x96029EB5,
+    0xB88F926C, 0x95CA6246,
+    0xB8E31319, 0x9592675B,
+    0xB936BFA3, 0x955AAE17,
+    0xB98A97D8, 0x9523369B,
+    0xB9DE9B83, 0x94EC010B,
+    0xBA32CA70, 0x94B50D87,
+    0xBA87246C, 0x947E5C32,
+    0xBADBA943, 0x9447ED2F,
+    0xBB3058C0, 0x9411C09D,
+    0xBB8532AF, 0x93DBD69F,
+    0xBBDA36DC, 0x93A62F56,
+    0xBC2F6513, 0x9370CAE4,
+    0xBC84BD1E, 0x933BA968,
+    0xBCDA3ECA, 0x9306CB04,
+    0xBD2FE9E1, 0x92D22FD8,
+    0xBD85BE2F, 0x929DD805,
+    0xBDDBBB7F, 0x9269C3AC,
+    0xBE31E19B, 0x9235F2EB,
+    0xBE88304F, 0x920265E4,
+    0xBEDEA765, 0x91CF1CB6,
+    0xBF3546A8, 0x919C1780,
+    0xBF8C0DE2, 0x91695663,
+    0xBFE2FCDF, 0x9136D97D,
+    0xC03A1368, 0x9104A0ED,
+    0xC0915147, 0x90D2ACD3,
+    0xC0E8B648, 0x90A0FD4E,
+    0xC1404233, 0x906F927B,
+    0xC197F4D3, 0x903E6C7A,
+    0xC1EFCDF2, 0x900D8B69,
+    0xC247CD5A, 0x8FDCEF66,
+    0xC29FF2D4, 0x8FAC988E,
+    0xC2F83E2A, 0x8F7C8701,
+    0xC350AF25, 0x8F4CBADB,
+    0xC3A9458F, 0x8F1D343A,
+    0xC4020132, 0x8EEDF33B,
+    0xC45AE1D7, 0x8EBEF7FB,
+    0xC4B3E746, 0x8E904298,
+    0xC50D1148, 0x8E61D32D,
+    0xC5665FA8, 0x8E33A9D9,
+    0xC5BFD22E, 0x8E05C6B7,
+    0xC61968A2, 0x8DD829E4,
+    0xC67322CD, 0x8DAAD37B,
+    0xC6CD0079, 0x8D7DC399,
+    0xC727016C, 0x8D50FA59,
+    0xC7812571, 0x8D2477D8,
+    0xC7DB6C50, 0x8CF83C30,
+    0xC835D5D0, 0x8CCC477D,
+    0xC89061BA, 0x8CA099D9,
+    0xC8EB0FD6, 0x8C753361,
+    0xC945DFEC, 0x8C4A142F,
+    0xC9A0D1C4, 0x8C1F3C5C,
+    0xC9FBE527, 0x8BF4AC05,
+    0xCA5719DB, 0x8BCA6342,
+    0xCAB26FA9, 0x8BA0622F,
+    0xCB0DE658, 0x8B76A8E4,
+    0xCB697DB0, 0x8B4D377C,
+    0xCBC53578, 0x8B240E10,
+    0xCC210D78, 0x8AFB2CBA,
+    0xCC7D0577, 0x8AD29393,
+    0xCCD91D3D, 0x8AAA42B4,
+    0xCD355490, 0x8A823A35,
+    0xCD91AB38, 0x8A5A7A30,
+    0xCDEE20FC, 0x8A3302BD,
+    0xCE4AB5A2, 0x8A0BD3F5,
+    0xCEA768F2, 0x89E4EDEE,
+    0xCF043AB2, 0x89BE50C3,
+    0xCF612AAA, 0x8997FC89,
+    0xCFBE389F, 0x8971F15A,
+    0xD01B6459, 0x894C2F4C,
+    0xD078AD9D, 0x8926B677,
+    0xD0D61433, 0x890186F1,
+    0xD13397E1, 0x88DCA0D3,
+    0xD191386D, 0x88B80431,
+    0xD1EEF59E, 0x8893B124,
+    0xD24CCF38, 0x886FA7C2,
+    0xD2AAC504, 0x884BE820,
+    0xD308D6C6, 0x88287255,
+    0xD3670445, 0x88054677,
+    0xD3C54D46, 0x87E2649B,
+    0xD423B190, 0x87BFCCD7,
+    0xD48230E8, 0x879D7F40,
+    0xD4E0CB14, 0x877B7BEC,
+    0xD53F7FDA, 0x8759C2EF,
+    0xD59E4EFE, 0x8738545E,
+    0xD5FD3847, 0x8717304E,
+    0xD65C3B7B, 0x86F656D3,
+    0xD6BB585D, 0x86D5C802,
+    0xD71A8EB5, 0x86B583EE,
+    0xD779DE46, 0x86958AAB,
+    0xD7D946D7, 0x8675DC4E,
+    0xD838C82D, 0x865678EA,
+    0xD898620C, 0x86376092,
+    0xD8F81439, 0x86189359,
+    0xD957DE7A, 0x85FA1152,
+    0xD9B7C093, 0x85DBDA91,
+    0xDA17BA4A, 0x85BDEF27,
+    0xDA77CB62, 0x85A04F28,
+    0xDAD7F3A2, 0x8582FAA4,
+    0xDB3832CD, 0x8565F1B0,
+    0xDB9888A8, 0x8549345C,
+    0xDBF8F4F8, 0x852CC2BA,
+    0xDC597781, 0x85109CDC,
+    0xDCBA1008, 0x84F4C2D3,
+    0xDD1ABE51, 0x84D934B0,
+    0xDD7B8220, 0x84BDF285,
+    0xDDDC5B3A, 0x84A2FC62,
+    0xDE3D4963, 0x84885257,
+    0xDE9E4C60, 0x846DF476,
+    0xDEFF63F4, 0x8453E2CE,
+    0xDF608FE3, 0x843A1D70,
+    0xDFC1CFF2, 0x8420A46B,
+    0xE02323E5, 0x840777CF,
+    0xE0848B7F, 0x83EE97AC,
+    0xE0E60684, 0x83D60411,
+    0xE14794B9, 0x83BDBD0D,
+    0xE1A935E1, 0x83A5C2B0,
+    0xE20AE9C1, 0x838E1507,
+    0xE26CB01A, 0x8376B422,
+    0xE2CE88B2, 0x835FA00E,
+    0xE330734C, 0x8348D8DB,
+    0xE3926FAC, 0x83325E97,
+    0xE3F47D95, 0x831C314E,
+    0xE4569CCB, 0x8306510F,
+    0xE4B8CD10, 0x82F0BDE8,
+    0xE51B0E2A, 0x82DB77E5,
+    0xE57D5FDA, 0x82C67F13,
+    0xE5DFC1E4, 0x82B1D381,
+    0xE642340D, 0x829D753A,
+    0xE6A4B616, 0x8289644A,
+    0xE70747C3, 0x8275A0C0,
+    0xE769E8D8, 0x82622AA5,
+    0xE7CC9917, 0x824F0208,
+    0xE82F5844, 0x823C26F2,
+    0xE8922621, 0x82299971,
+    0xE8F50273, 0x8217598F,
+    0xE957ECFB, 0x82056758,
+    0xE9BAE57C, 0x81F3C2D7,
+    0xEA1DEBBB, 0x81E26C16,
+    0xEA80FF79, 0x81D16320,
+    0xEAE4207A, 0x81C0A801,
+    0xEB474E80, 0x81B03AC1,
+    0xEBAA894E, 0x81A01B6C,
+    0xEC0DD0A8, 0x81904A0C,
+    0xEC71244F, 0x8180C6A9,
+    0xECD48406, 0x8171914E,
+    0xED37EF91, 0x8162AA03,
+    0xED9B66B2, 0x815410D3,
+    0xEDFEE92B, 0x8145C5C6,
+    0xEE6276BF, 0x8137C8E6,
+    0xEEC60F31, 0x812A1A39,
+    0xEF29B243, 0x811CB9CA,
+    0xEF8D5FB8, 0x810FA7A0,
+    0xEFF11752, 0x8102E3C3,
+    0xF054D8D4, 0x80F66E3C,
+    0xF0B8A401, 0x80EA4712,
+    0xF11C789A, 0x80DE6E4C,
+    0xF1805662, 0x80D2E3F1,
+    0xF1E43D1C, 0x80C7A80A,
+    0xF2482C89, 0x80BCBA9C,
+    0xF2AC246D, 0x80B21BAF,
+    0xF310248A, 0x80A7CB49,
+    0xF3742CA1, 0x809DC970,
+    0xF3D83C76, 0x8094162B,
+    0xF43C53CA, 0x808AB180,
+    0xF4A07260, 0x80819B74,
+    0xF50497FA, 0x8078D40D,
+    0xF568C45A, 0x80705B50,
+    0xF5CCF743, 0x80683143,
+    0xF6313076, 0x806055EA,
+    0xF6956FB6, 0x8058C94C,
+    0xF6F9B4C5, 0x80518B6B,
+    0xF75DFF65, 0x804A9C4D,
+    0xF7C24F58, 0x8043FBF6,
+    0xF826A461, 0x803DAA69,
+    0xF88AFE41, 0x8037A7AC,
+    0xF8EF5CBB, 0x8031F3C1,
+    0xF953BF90, 0x802C8EAD,
+    0xF9B82683, 0x80277872,
+    0xFA1C9156, 0x8022B113,
+    0xFA80FFCB, 0x801E3894,
+    0xFAE571A4, 0x801A0EF7,
+    0xFB49E6A2, 0x80163440,
+    0xFBAE5E89, 0x8012A86F,
+    0xFC12D919, 0x800F6B88,
+    0xFC775616, 0x800C7D8C,
+    0xFCDBD541, 0x8009DE7D,
+    0xFD40565B, 0x80078E5E,
+    0xFDA4D928, 0x80058D2E,
+    0xFE095D69, 0x8003DAF0,
+    0xFE6DE2E0, 0x800277A5,
+    0xFED2694F, 0x8001634D,
+    0xFF36F078, 0x80009DE9,
+    0xFF9B781D, 0x8000277A
+};
+
 /**    
 * \par   
 * Example code for Q31 Twiddle factors Generation::    
@@ -8592,2342 +11777,9411 @@
 *	round(twiddleCoefQ31(i) * pow(2, 31))    
 *    
 */
-
-const q31_t twiddleCoefQ31[6144] = {
-  0x7fffffff, 0x0, 0x7ffff621, 0x3243f5, 0x7fffd886, 0x6487e3, 0x7fffa72c,
-    0x96cbc1,
-  0x7fff6216, 0xc90f88, 0x7fff0943, 0xfb5330, 0x7ffe9cb2, 0x12d96b1,
-    0x7ffe1c65, 0x15fda03,
-  0x7ffd885a, 0x1921d20, 0x7ffce093, 0x1c45ffe, 0x7ffc250f, 0x1f6a297,
-    0x7ffb55ce, 0x228e4e2,
-  0x7ffa72d1, 0x25b26d7, 0x7ff97c18, 0x28d6870, 0x7ff871a2, 0x2bfa9a4,
-    0x7ff75370, 0x2f1ea6c,
-  0x7ff62182, 0x3242abf, 0x7ff4dbd9, 0x3566a96, 0x7ff38274, 0x388a9ea,
-    0x7ff21553, 0x3bae8b2,
-  0x7ff09478, 0x3ed26e6, 0x7feeffe1, 0x41f6480, 0x7fed5791, 0x451a177,
-    0x7feb9b85, 0x483ddc3,
-  0x7fe9cbc0, 0x4b6195d, 0x7fe7e841, 0x4e8543e, 0x7fe5f108, 0x51a8e5c,
-    0x7fe3e616, 0x54cc7b1,
-  0x7fe1c76b, 0x57f0035, 0x7fdf9508, 0x5b137df, 0x7fdd4eec, 0x5e36ea9,
-    0x7fdaf519, 0x615a48b,
-  0x7fd8878e, 0x647d97c, 0x7fd6064c, 0x67a0d76, 0x7fd37153, 0x6ac406f,
-    0x7fd0c8a3, 0x6de7262,
-  0x7fce0c3e, 0x710a345, 0x7fcb3c23, 0x742d311, 0x7fc85854, 0x77501be,
-    0x7fc560cf, 0x7a72f45,
-  0x7fc25596, 0x7d95b9e, 0x7fbf36aa, 0x80b86c2, 0x7fbc040a, 0x83db0a7,
-    0x7fb8bdb8, 0x86fd947,
-  0x7fb563b3, 0x8a2009a, 0x7fb1f5fc, 0x8d42699, 0x7fae7495, 0x9064b3a,
-    0x7faadf7c, 0x9386e78,
-  0x7fa736b4, 0x96a9049, 0x7fa37a3c, 0x99cb0a7, 0x7f9faa15, 0x9cecf89,
-    0x7f9bc640, 0xa00ece8,
-  0x7f97cebd, 0xa3308bd, 0x7f93c38c, 0xa6522fe, 0x7f8fa4b0, 0xa973ba5,
-    0x7f8b7227, 0xac952aa,
-  0x7f872bf3, 0xafb6805, 0x7f82d214, 0xb2d7baf, 0x7f7e648c, 0xb5f8d9f,
-    0x7f79e35a, 0xb919dcf,
-  0x7f754e80, 0xbc3ac35, 0x7f70a5fe, 0xbf5b8cb, 0x7f6be9d4, 0xc27c389,
-    0x7f671a05, 0xc59cc68,
-  0x7f62368f, 0xc8bd35e, 0x7f5d3f75, 0xcbdd865, 0x7f5834b7, 0xcefdb76,
-    0x7f531655, 0xd21dc87,
-  0x7f4de451, 0xd53db92, 0x7f489eaa, 0xd85d88f, 0x7f434563, 0xdb7d376,
-    0x7f3dd87c, 0xde9cc40,
-  0x7f3857f6, 0xe1bc2e4, 0x7f32c3d1, 0xe4db75b, 0x7f2d1c0e, 0xe7fa99e,
-    0x7f2760af, 0xeb199a4,
-  0x7f2191b4, 0xee38766, 0x7f1baf1e, 0xf1572dc, 0x7f15b8ee, 0xf475bff,
-    0x7f0faf25, 0xf7942c7,
-  0x7f0991c4, 0xfab272b, 0x7f0360cb, 0xfdd0926, 0x7efd1c3c, 0x100ee8ad,
-    0x7ef6c418, 0x1040c5bb,
-  0x7ef05860, 0x1072a048, 0x7ee9d914, 0x10a4784b, 0x7ee34636, 0x10d64dbd,
-    0x7edc9fc6, 0x11082096,
-  0x7ed5e5c6, 0x1139f0cf, 0x7ecf1837, 0x116bbe60, 0x7ec8371a, 0x119d8941,
-    0x7ec14270, 0x11cf516a,
-  0x7eba3a39, 0x120116d5, 0x7eb31e78, 0x1232d979, 0x7eabef2c, 0x1264994e,
-    0x7ea4ac58, 0x1296564d,
-  0x7e9d55fc, 0x12c8106f, 0x7e95ec1a, 0x12f9c7aa, 0x7e8e6eb2, 0x132b7bf9,
-    0x7e86ddc6, 0x135d2d53,
-  0x7e7f3957, 0x138edbb1, 0x7e778166, 0x13c0870a, 0x7e6fb5f4, 0x13f22f58,
-    0x7e67d703, 0x1423d492,
-  0x7e5fe493, 0x145576b1, 0x7e57dea7, 0x148715ae, 0x7e4fc53e, 0x14b8b17f,
-    0x7e47985b, 0x14ea4a1f,
-  0x7e3f57ff, 0x151bdf86, 0x7e37042a, 0x154d71aa, 0x7e2e9cdf, 0x157f0086,
-    0x7e26221f, 0x15b08c12,
-  0x7e1d93ea, 0x15e21445, 0x7e14f242, 0x16139918, 0x7e0c3d29, 0x16451a83,
-    0x7e0374a0, 0x1676987f,
-  0x7dfa98a8, 0x16a81305, 0x7df1a942, 0x16d98a0c, 0x7de8a670, 0x170afd8d,
-    0x7ddf9034, 0x173c6d80,
-  0x7dd6668f, 0x176dd9de, 0x7dcd2981, 0x179f429f, 0x7dc3d90d, 0x17d0a7bc,
-    0x7dba7534, 0x1802092c,
-  0x7db0fdf8, 0x183366e9, 0x7da77359, 0x1864c0ea, 0x7d9dd55a, 0x18961728,
-    0x7d9423fc, 0x18c7699b,
-  0x7d8a5f40, 0x18f8b83c, 0x7d808728, 0x192a0304, 0x7d769bb5, 0x195b49ea,
-    0x7d6c9ce9, 0x198c8ce7,
-  0x7d628ac6, 0x19bdcbf3, 0x7d58654d, 0x19ef0707, 0x7d4e2c7f, 0x1a203e1b,
-    0x7d43e05e, 0x1a517128,
-  0x7d3980ec, 0x1a82a026, 0x7d2f0e2b, 0x1ab3cb0d, 0x7d24881b, 0x1ae4f1d6,
-    0x7d19eebf, 0x1b161479,
-  0x7d0f4218, 0x1b4732ef, 0x7d048228, 0x1b784d30, 0x7cf9aef0, 0x1ba96335,
-    0x7ceec873, 0x1bda74f6,
-  0x7ce3ceb2, 0x1c0b826a, 0x7cd8c1ae, 0x1c3c8b8c, 0x7ccda169, 0x1c6d9053,
-    0x7cc26de5, 0x1c9e90b8,
-  0x7cb72724, 0x1ccf8cb3, 0x7cabcd28, 0x1d00843d, 0x7ca05ff1, 0x1d31774d,
-    0x7c94df83, 0x1d6265dd,
-  0x7c894bde, 0x1d934fe5, 0x7c7da505, 0x1dc4355e, 0x7c71eaf9, 0x1df5163f,
-    0x7c661dbc, 0x1e25f282,
-  0x7c5a3d50, 0x1e56ca1e, 0x7c4e49b7, 0x1e879d0d, 0x7c4242f2, 0x1eb86b46,
-    0x7c362904, 0x1ee934c3,
-  0x7c29fbee, 0x1f19f97b, 0x7c1dbbb3, 0x1f4ab968, 0x7c116853, 0x1f7b7481,
-    0x7c0501d2, 0x1fac2abf,
-  0x7bf88830, 0x1fdcdc1b, 0x7bebfb70, 0x200d888d, 0x7bdf5b94, 0x203e300d,
-    0x7bd2a89e, 0x206ed295,
-  0x7bc5e290, 0x209f701c, 0x7bb9096b, 0x20d0089c, 0x7bac1d31, 0x21009c0c,
-    0x7b9f1de6, 0x21312a65,
-  0x7b920b89, 0x2161b3a0, 0x7b84e61f, 0x219237b5, 0x7b77ada8, 0x21c2b69c,
-    0x7b6a6227, 0x21f3304f,
-  0x7b5d039e, 0x2223a4c5, 0x7b4f920e, 0x225413f8, 0x7b420d7a, 0x22847de0,
-    0x7b3475e5, 0x22b4e274,
-  0x7b26cb4f, 0x22e541af, 0x7b190dbc, 0x23159b88, 0x7b0b3d2c, 0x2345eff8,
-    0x7afd59a4, 0x23763ef7,
-  0x7aef6323, 0x23a6887f, 0x7ae159ae, 0x23d6cc87, 0x7ad33d45, 0x24070b08,
-    0x7ac50dec, 0x243743fa,
-  0x7ab6cba4, 0x24677758, 0x7aa8766f, 0x2497a517, 0x7a9a0e50, 0x24c7cd33,
-    0x7a8b9348, 0x24f7efa2,
-  0x7a7d055b, 0x25280c5e, 0x7a6e648a, 0x2558235f, 0x7a5fb0d8, 0x2588349d,
-    0x7a50ea47, 0x25b84012,
-  0x7a4210d8, 0x25e845b6, 0x7a332490, 0x26184581, 0x7a24256f, 0x26483f6c,
-    0x7a151378, 0x26783370,
-  0x7a05eead, 0x26a82186, 0x79f6b711, 0x26d809a5, 0x79e76ca7, 0x2707ebc7,
-    0x79d80f6f, 0x2737c7e3,
-  0x79c89f6e, 0x27679df4, 0x79b91ca4, 0x27976df1, 0x79a98715, 0x27c737d3,
-    0x7999dec4, 0x27f6fb92,
-  0x798a23b1, 0x2826b928, 0x797a55e0, 0x2856708d, 0x796a7554, 0x288621b9,
-    0x795a820e, 0x28b5cca5,
-  0x794a7c12, 0x28e5714b, 0x793a6361, 0x29150fa1, 0x792a37fe, 0x2944a7a2,
-    0x7919f9ec, 0x29743946,
-  0x7909a92d, 0x29a3c485, 0x78f945c3, 0x29d34958, 0x78e8cfb2, 0x2a02c7b8,
-    0x78d846fb, 0x2a323f9e,
-  0x78c7aba2, 0x2a61b101, 0x78b6fda8, 0x2a911bdc, 0x78a63d11, 0x2ac08026,
-    0x789569df, 0x2aefddd8,
-  0x78848414, 0x2b1f34eb, 0x78738bb3, 0x2b4e8558, 0x786280bf, 0x2b7dcf17,
-    0x7851633b, 0x2bad1221,
-  0x78403329, 0x2bdc4e6f, 0x782ef08b, 0x2c0b83fa, 0x781d9b65, 0x2c3ab2b9,
-    0x780c33b8, 0x2c69daa6,
-  0x77fab989, 0x2c98fbba, 0x77e92cd9, 0x2cc815ee, 0x77d78daa, 0x2cf72939,
-    0x77c5dc01, 0x2d263596,
-  0x77b417df, 0x2d553afc, 0x77a24148, 0x2d843964, 0x7790583e, 0x2db330c7,
-    0x777e5cc3, 0x2de2211e,
-  0x776c4edb, 0x2e110a62, 0x775a2e89, 0x2e3fec8b, 0x7747fbce, 0x2e6ec792,
-    0x7735b6af, 0x2e9d9b70,
-  0x77235f2d, 0x2ecc681e, 0x7710f54c, 0x2efb2d95, 0x76fe790e, 0x2f29ebcc,
-    0x76ebea77, 0x2f58a2be,
-  0x76d94989, 0x2f875262, 0x76c69647, 0x2fb5fab2, 0x76b3d0b4, 0x2fe49ba7,
-    0x76a0f8d2, 0x30133539,
-  0x768e0ea6, 0x3041c761, 0x767b1231, 0x30705217, 0x76680376, 0x309ed556,
-    0x7654e279, 0x30cd5115,
-  0x7641af3d, 0x30fbc54d, 0x762e69c4, 0x312a31f8, 0x761b1211, 0x3158970e,
-    0x7607a828, 0x3186f487,
-  0x75f42c0b, 0x31b54a5e, 0x75e09dbd, 0x31e39889, 0x75ccfd42, 0x3211df04,
-    0x75b94a9c, 0x32401dc6,
-  0x75a585cf, 0x326e54c7, 0x7591aedd, 0x329c8402, 0x757dc5ca, 0x32caab6f,
-    0x7569ca99, 0x32f8cb07,
-  0x7555bd4c, 0x3326e2c3, 0x75419de7, 0x3354f29b, 0x752d6c6c, 0x3382fa88,
-    0x751928e0, 0x33b0fa84,
-  0x7504d345, 0x33def287, 0x74f06b9e, 0x340ce28b, 0x74dbf1ef, 0x343aca87,
-    0x74c7663a, 0x3468aa76,
-  0x74b2c884, 0x34968250, 0x749e18cd, 0x34c4520d, 0x7489571c, 0x34f219a8,
-    0x74748371, 0x351fd918,
-  0x745f9dd1, 0x354d9057, 0x744aa63f, 0x357b3f5d, 0x74359cbd, 0x35a8e625,
-    0x74208150, 0x35d684a6,
-  0x740b53fb, 0x36041ad9, 0x73f614c0, 0x3631a8b8, 0x73e0c3a3, 0x365f2e3b,
-    0x73cb60a8, 0x368cab5c,
-  0x73b5ebd1, 0x36ba2014, 0x73a06522, 0x36e78c5b, 0x738acc9e, 0x3714f02a,
-    0x73752249, 0x37424b7b,
-  0x735f6626, 0x376f9e46, 0x73499838, 0x379ce885, 0x7333b883, 0x37ca2a30,
-    0x731dc70a, 0x37f76341,
-  0x7307c3d0, 0x382493b0, 0x72f1aed9, 0x3851bb77, 0x72db8828, 0x387eda8e,
-    0x72c54fc1, 0x38abf0ef,
-  0x72af05a7, 0x38d8fe93, 0x7298a9dd, 0x39060373, 0x72823c67, 0x3932ff87,
-    0x726bbd48, 0x395ff2c9,
-  0x72552c85, 0x398cdd32, 0x723e8a20, 0x39b9bebc, 0x7227d61c, 0x39e6975e,
-    0x7211107e, 0x3a136712,
-  0x71fa3949, 0x3a402dd2, 0x71e35080, 0x3a6ceb96, 0x71cc5626, 0x3a99a057,
-    0x71b54a41, 0x3ac64c0f,
-  0x719e2cd2, 0x3af2eeb7, 0x7186fdde, 0x3b1f8848, 0x716fbd68, 0x3b4c18ba,
-    0x71586b74, 0x3b78a007,
-  0x71410805, 0x3ba51e29, 0x7129931f, 0x3bd19318, 0x71120cc5, 0x3bfdfecd,
-    0x70fa74fc, 0x3c2a6142,
-  0x70e2cbc6, 0x3c56ba70, 0x70cb1128, 0x3c830a50, 0x70b34525, 0x3caf50da,
-    0x709b67c0, 0x3cdb8e09,
-  0x708378ff, 0x3d07c1d6, 0x706b78e3, 0x3d33ec39, 0x70536771, 0x3d600d2c,
-    0x703b44ad, 0x3d8c24a8,
-  0x7023109a, 0x3db832a6, 0x700acb3c, 0x3de4371f, 0x6ff27497, 0x3e10320d,
-    0x6fda0cae, 0x3e3c2369,
-  0x6fc19385, 0x3e680b2c, 0x6fa90921, 0x3e93e950, 0x6f906d84, 0x3ebfbdcd,
-    0x6f77c0b3, 0x3eeb889c,
-  0x6f5f02b2, 0x3f1749b8, 0x6f463383, 0x3f430119, 0x6f2d532c, 0x3f6eaeb8,
-    0x6f1461b0, 0x3f9a5290,
-  0x6efb5f12, 0x3fc5ec98, 0x6ee24b57, 0x3ff17cca, 0x6ec92683, 0x401d0321,
-    0x6eaff099, 0x40487f94,
-  0x6e96a99d, 0x4073f21d, 0x6e7d5193, 0x409f5ab6, 0x6e63e87f, 0x40cab958,
-    0x6e4a6e66, 0x40f60dfb,
-  0x6e30e34a, 0x4121589b, 0x6e174730, 0x414c992f, 0x6dfd9a1c, 0x4177cfb1,
-    0x6de3dc11, 0x41a2fc1a,
-  0x6dca0d14, 0x41ce1e65, 0x6db02d29, 0x41f93689, 0x6d963c54, 0x42244481,
-    0x6d7c3a98, 0x424f4845,
-  0x6d6227fa, 0x427a41d0, 0x6d48047e, 0x42a5311b, 0x6d2dd027, 0x42d0161e,
-    0x6d138afb, 0x42faf0d4,
-  0x6cf934fc, 0x4325c135, 0x6cdece2f, 0x4350873c, 0x6cc45698, 0x437b42e1,
-    0x6ca9ce3b, 0x43a5f41e,
-  0x6c8f351c, 0x43d09aed, 0x6c748b3f, 0x43fb3746, 0x6c59d0a9, 0x4425c923,
-    0x6c3f055d, 0x4450507e,
-  0x6c242960, 0x447acd50, 0x6c093cb6, 0x44a53f93, 0x6bee3f62, 0x44cfa740,
-    0x6bd3316a, 0x44fa0450,
-  0x6bb812d1, 0x452456bd, 0x6b9ce39b, 0x454e9e80, 0x6b81a3cd, 0x4578db93,
-    0x6b66536b, 0x45a30df0,
-  0x6b4af279, 0x45cd358f, 0x6b2f80fb, 0x45f7526b, 0x6b13fef5, 0x4621647d,
-    0x6af86c6c, 0x464b6bbe,
-  0x6adcc964, 0x46756828, 0x6ac115e2, 0x469f59b4, 0x6aa551e9, 0x46c9405c,
-    0x6a897d7d, 0x46f31c1a,
-  0x6a6d98a4, 0x471cece7, 0x6a51a361, 0x4746b2bc, 0x6a359db9, 0x47706d93,
-    0x6a1987b0, 0x479a1d67,
-  0x69fd614a, 0x47c3c22f, 0x69e12a8c, 0x47ed5be6, 0x69c4e37a, 0x4816ea86,
-    0x69a88c19, 0x48406e08,
-  0x698c246c, 0x4869e665, 0x696fac78, 0x48935397, 0x69532442, 0x48bcb599,
-    0x69368bce, 0x48e60c62,
-  0x6919e320, 0x490f57ee, 0x68fd2a3d, 0x49389836, 0x68e06129, 0x4961cd33,
-    0x68c387e9, 0x498af6df,
-  0x68a69e81, 0x49b41533, 0x6889a4f6, 0x49dd282a, 0x686c9b4b, 0x4a062fbd,
-    0x684f8186, 0x4a2f2be6,
-  0x683257ab, 0x4a581c9e, 0x68151dbe, 0x4a8101de, 0x67f7d3c5, 0x4aa9dba2,
-    0x67da79c3, 0x4ad2a9e2,
-  0x67bd0fbd, 0x4afb6c98, 0x679f95b7, 0x4b2423be, 0x67820bb7, 0x4b4ccf4d,
-    0x676471c0, 0x4b756f40,
-  0x6746c7d8, 0x4b9e0390, 0x67290e02, 0x4bc68c36, 0x670b4444, 0x4bef092d,
-    0x66ed6aa1, 0x4c177a6e,
-  0x66cf8120, 0x4c3fdff4, 0x66b187c3, 0x4c6839b7, 0x66937e91, 0x4c9087b1,
-    0x6675658c, 0x4cb8c9dd,
-  0x66573cbb, 0x4ce10034, 0x66390422, 0x4d092ab0, 0x661abbc5, 0x4d31494b,
-    0x65fc63a9, 0x4d595bfe,
-  0x65ddfbd3, 0x4d8162c4, 0x65bf8447, 0x4da95d96, 0x65a0fd0b, 0x4dd14c6e,
-    0x65826622, 0x4df92f46,
-  0x6563bf92, 0x4e210617, 0x6545095f, 0x4e48d0dd, 0x6526438f, 0x4e708f8f,
-    0x65076e25, 0x4e984229,
-  0x64e88926, 0x4ebfe8a5, 0x64c99498, 0x4ee782fb, 0x64aa907f, 0x4f0f1126,
-    0x648b7ce0, 0x4f369320,
-  0x646c59bf, 0x4f5e08e3, 0x644d2722, 0x4f857269, 0x642de50d, 0x4faccfab,
-    0x640e9386, 0x4fd420a4,
-  0x63ef3290, 0x4ffb654d, 0x63cfc231, 0x50229da1, 0x63b0426d, 0x5049c999,
-    0x6390b34a, 0x5070e92f,
-  0x637114cc, 0x5097fc5e, 0x635166f9, 0x50bf031f, 0x6331a9d4, 0x50e5fd6d,
-    0x6311dd64, 0x510ceb40,
-  0x62f201ac, 0x5133cc94, 0x62d216b3, 0x515aa162, 0x62b21c7b, 0x518169a5,
-    0x6292130c, 0x51a82555,
-  0x6271fa69, 0x51ced46e, 0x6251d298, 0x51f576ea, 0x62319b9d, 0x521c0cc2,
-    0x6211557e, 0x524295f0,
-  0x61f1003f, 0x5269126e, 0x61d09be5, 0x528f8238, 0x61b02876, 0x52b5e546,
-    0x618fa5f7, 0x52dc3b92,
-  0x616f146c, 0x53028518, 0x614e73da, 0x5328c1d0, 0x612dc447, 0x534ef1b5,
-    0x610d05b7, 0x537514c2,
-  0x60ec3830, 0x539b2af0, 0x60cb5bb7, 0x53c13439, 0x60aa7050, 0x53e73097,
-    0x60897601, 0x540d2005,
-  0x60686ccf, 0x5433027d, 0x604754bf, 0x5458d7f9, 0x60262dd6, 0x547ea073,
-    0x6004f819, 0x54a45be6,
-  0x5fe3b38d, 0x54ca0a4b, 0x5fc26038, 0x54efab9c, 0x5fa0fe1f, 0x55153fd4,
-    0x5f7f8d46, 0x553ac6ee,
-  0x5f5e0db3, 0x556040e2, 0x5f3c7f6b, 0x5585adad, 0x5f1ae274, 0x55ab0d46,
-    0x5ef936d1, 0x55d05faa,
-  0x5ed77c8a, 0x55f5a4d2, 0x5eb5b3a2, 0x561adcb9, 0x5e93dc1f, 0x56400758,
-    0x5e71f606, 0x566524aa,
-  0x5e50015d, 0x568a34a9, 0x5e2dfe29, 0x56af3750, 0x5e0bec6e, 0x56d42c99,
-    0x5de9cc33, 0x56f9147e,
-  0x5dc79d7c, 0x571deefa, 0x5da5604f, 0x5742bc06, 0x5d8314b1, 0x57677b9d,
-    0x5d60baa7, 0x578c2dba,
-  0x5d3e5237, 0x57b0d256, 0x5d1bdb65, 0x57d5696d, 0x5cf95638, 0x57f9f2f8,
-    0x5cd6c2b5, 0x581e6ef1,
-  0x5cb420e0, 0x5842dd54, 0x5c9170bf, 0x58673e1b, 0x5c6eb258, 0x588b9140,
-    0x5c4be5b0, 0x58afd6bd,
-  0x5c290acc, 0x58d40e8c, 0x5c0621b2, 0x58f838a9, 0x5be32a67, 0x591c550e,
-    0x5bc024f0, 0x594063b5,
-  0x5b9d1154, 0x59646498, 0x5b79ef96, 0x598857b2, 0x5b56bfbd, 0x59ac3cfd,
-    0x5b3381ce, 0x59d01475,
-  0x5b1035cf, 0x59f3de12, 0x5aecdbc5, 0x5a1799d1, 0x5ac973b5, 0x5a3b47ab,
-    0x5aa5fda5, 0x5a5ee79a,
-  0x5a82799a, 0x5a82799a, 0x5a5ee79a, 0x5aa5fda5, 0x5a3b47ab, 0x5ac973b5,
-    0x5a1799d1, 0x5aecdbc5,
-  0x59f3de12, 0x5b1035cf, 0x59d01475, 0x5b3381ce, 0x59ac3cfd, 0x5b56bfbd,
-    0x598857b2, 0x5b79ef96,
-  0x59646498, 0x5b9d1154, 0x594063b5, 0x5bc024f0, 0x591c550e, 0x5be32a67,
-    0x58f838a9, 0x5c0621b2,
-  0x58d40e8c, 0x5c290acc, 0x58afd6bd, 0x5c4be5b0, 0x588b9140, 0x5c6eb258,
-    0x58673e1b, 0x5c9170bf,
-  0x5842dd54, 0x5cb420e0, 0x581e6ef1, 0x5cd6c2b5, 0x57f9f2f8, 0x5cf95638,
-    0x57d5696d, 0x5d1bdb65,
-  0x57b0d256, 0x5d3e5237, 0x578c2dba, 0x5d60baa7, 0x57677b9d, 0x5d8314b1,
-    0x5742bc06, 0x5da5604f,
-  0x571deefa, 0x5dc79d7c, 0x56f9147e, 0x5de9cc33, 0x56d42c99, 0x5e0bec6e,
-    0x56af3750, 0x5e2dfe29,
-  0x568a34a9, 0x5e50015d, 0x566524aa, 0x5e71f606, 0x56400758, 0x5e93dc1f,
-    0x561adcb9, 0x5eb5b3a2,
-  0x55f5a4d2, 0x5ed77c8a, 0x55d05faa, 0x5ef936d1, 0x55ab0d46, 0x5f1ae274,
-    0x5585adad, 0x5f3c7f6b,
-  0x556040e2, 0x5f5e0db3, 0x553ac6ee, 0x5f7f8d46, 0x55153fd4, 0x5fa0fe1f,
-    0x54efab9c, 0x5fc26038,
-  0x54ca0a4b, 0x5fe3b38d, 0x54a45be6, 0x6004f819, 0x547ea073, 0x60262dd6,
-    0x5458d7f9, 0x604754bf,
-  0x5433027d, 0x60686ccf, 0x540d2005, 0x60897601, 0x53e73097, 0x60aa7050,
-    0x53c13439, 0x60cb5bb7,
-  0x539b2af0, 0x60ec3830, 0x537514c2, 0x610d05b7, 0x534ef1b5, 0x612dc447,
-    0x5328c1d0, 0x614e73da,
-  0x53028518, 0x616f146c, 0x52dc3b92, 0x618fa5f7, 0x52b5e546, 0x61b02876,
-    0x528f8238, 0x61d09be5,
-  0x5269126e, 0x61f1003f, 0x524295f0, 0x6211557e, 0x521c0cc2, 0x62319b9d,
-    0x51f576ea, 0x6251d298,
-  0x51ced46e, 0x6271fa69, 0x51a82555, 0x6292130c, 0x518169a5, 0x62b21c7b,
-    0x515aa162, 0x62d216b3,
-  0x5133cc94, 0x62f201ac, 0x510ceb40, 0x6311dd64, 0x50e5fd6d, 0x6331a9d4,
-    0x50bf031f, 0x635166f9,
-  0x5097fc5e, 0x637114cc, 0x5070e92f, 0x6390b34a, 0x5049c999, 0x63b0426d,
-    0x50229da1, 0x63cfc231,
-  0x4ffb654d, 0x63ef3290, 0x4fd420a4, 0x640e9386, 0x4faccfab, 0x642de50d,
-    0x4f857269, 0x644d2722,
-  0x4f5e08e3, 0x646c59bf, 0x4f369320, 0x648b7ce0, 0x4f0f1126, 0x64aa907f,
-    0x4ee782fb, 0x64c99498,
-  0x4ebfe8a5, 0x64e88926, 0x4e984229, 0x65076e25, 0x4e708f8f, 0x6526438f,
-    0x4e48d0dd, 0x6545095f,
-  0x4e210617, 0x6563bf92, 0x4df92f46, 0x65826622, 0x4dd14c6e, 0x65a0fd0b,
-    0x4da95d96, 0x65bf8447,
-  0x4d8162c4, 0x65ddfbd3, 0x4d595bfe, 0x65fc63a9, 0x4d31494b, 0x661abbc5,
-    0x4d092ab0, 0x66390422,
-  0x4ce10034, 0x66573cbb, 0x4cb8c9dd, 0x6675658c, 0x4c9087b1, 0x66937e91,
-    0x4c6839b7, 0x66b187c3,
-  0x4c3fdff4, 0x66cf8120, 0x4c177a6e, 0x66ed6aa1, 0x4bef092d, 0x670b4444,
-    0x4bc68c36, 0x67290e02,
-  0x4b9e0390, 0x6746c7d8, 0x4b756f40, 0x676471c0, 0x4b4ccf4d, 0x67820bb7,
-    0x4b2423be, 0x679f95b7,
-  0x4afb6c98, 0x67bd0fbd, 0x4ad2a9e2, 0x67da79c3, 0x4aa9dba2, 0x67f7d3c5,
-    0x4a8101de, 0x68151dbe,
-  0x4a581c9e, 0x683257ab, 0x4a2f2be6, 0x684f8186, 0x4a062fbd, 0x686c9b4b,
-    0x49dd282a, 0x6889a4f6,
-  0x49b41533, 0x68a69e81, 0x498af6df, 0x68c387e9, 0x4961cd33, 0x68e06129,
-    0x49389836, 0x68fd2a3d,
-  0x490f57ee, 0x6919e320, 0x48e60c62, 0x69368bce, 0x48bcb599, 0x69532442,
-    0x48935397, 0x696fac78,
-  0x4869e665, 0x698c246c, 0x48406e08, 0x69a88c19, 0x4816ea86, 0x69c4e37a,
-    0x47ed5be6, 0x69e12a8c,
-  0x47c3c22f, 0x69fd614a, 0x479a1d67, 0x6a1987b0, 0x47706d93, 0x6a359db9,
-    0x4746b2bc, 0x6a51a361,
-  0x471cece7, 0x6a6d98a4, 0x46f31c1a, 0x6a897d7d, 0x46c9405c, 0x6aa551e9,
-    0x469f59b4, 0x6ac115e2,
-  0x46756828, 0x6adcc964, 0x464b6bbe, 0x6af86c6c, 0x4621647d, 0x6b13fef5,
-    0x45f7526b, 0x6b2f80fb,
-  0x45cd358f, 0x6b4af279, 0x45a30df0, 0x6b66536b, 0x4578db93, 0x6b81a3cd,
-    0x454e9e80, 0x6b9ce39b,
-  0x452456bd, 0x6bb812d1, 0x44fa0450, 0x6bd3316a, 0x44cfa740, 0x6bee3f62,
-    0x44a53f93, 0x6c093cb6,
-  0x447acd50, 0x6c242960, 0x4450507e, 0x6c3f055d, 0x4425c923, 0x6c59d0a9,
-    0x43fb3746, 0x6c748b3f,
-  0x43d09aed, 0x6c8f351c, 0x43a5f41e, 0x6ca9ce3b, 0x437b42e1, 0x6cc45698,
-    0x4350873c, 0x6cdece2f,
-  0x4325c135, 0x6cf934fc, 0x42faf0d4, 0x6d138afb, 0x42d0161e, 0x6d2dd027,
-    0x42a5311b, 0x6d48047e,
-  0x427a41d0, 0x6d6227fa, 0x424f4845, 0x6d7c3a98, 0x42244481, 0x6d963c54,
-    0x41f93689, 0x6db02d29,
-  0x41ce1e65, 0x6dca0d14, 0x41a2fc1a, 0x6de3dc11, 0x4177cfb1, 0x6dfd9a1c,
-    0x414c992f, 0x6e174730,
-  0x4121589b, 0x6e30e34a, 0x40f60dfb, 0x6e4a6e66, 0x40cab958, 0x6e63e87f,
-    0x409f5ab6, 0x6e7d5193,
-  0x4073f21d, 0x6e96a99d, 0x40487f94, 0x6eaff099, 0x401d0321, 0x6ec92683,
-    0x3ff17cca, 0x6ee24b57,
-  0x3fc5ec98, 0x6efb5f12, 0x3f9a5290, 0x6f1461b0, 0x3f6eaeb8, 0x6f2d532c,
-    0x3f430119, 0x6f463383,
-  0x3f1749b8, 0x6f5f02b2, 0x3eeb889c, 0x6f77c0b3, 0x3ebfbdcd, 0x6f906d84,
-    0x3e93e950, 0x6fa90921,
-  0x3e680b2c, 0x6fc19385, 0x3e3c2369, 0x6fda0cae, 0x3e10320d, 0x6ff27497,
-    0x3de4371f, 0x700acb3c,
-  0x3db832a6, 0x7023109a, 0x3d8c24a8, 0x703b44ad, 0x3d600d2c, 0x70536771,
-    0x3d33ec39, 0x706b78e3,
-  0x3d07c1d6, 0x708378ff, 0x3cdb8e09, 0x709b67c0, 0x3caf50da, 0x70b34525,
-    0x3c830a50, 0x70cb1128,
-  0x3c56ba70, 0x70e2cbc6, 0x3c2a6142, 0x70fa74fc, 0x3bfdfecd, 0x71120cc5,
-    0x3bd19318, 0x7129931f,
-  0x3ba51e29, 0x71410805, 0x3b78a007, 0x71586b74, 0x3b4c18ba, 0x716fbd68,
-    0x3b1f8848, 0x7186fdde,
-  0x3af2eeb7, 0x719e2cd2, 0x3ac64c0f, 0x71b54a41, 0x3a99a057, 0x71cc5626,
-    0x3a6ceb96, 0x71e35080,
-  0x3a402dd2, 0x71fa3949, 0x3a136712, 0x7211107e, 0x39e6975e, 0x7227d61c,
-    0x39b9bebc, 0x723e8a20,
-  0x398cdd32, 0x72552c85, 0x395ff2c9, 0x726bbd48, 0x3932ff87, 0x72823c67,
-    0x39060373, 0x7298a9dd,
-  0x38d8fe93, 0x72af05a7, 0x38abf0ef, 0x72c54fc1, 0x387eda8e, 0x72db8828,
-    0x3851bb77, 0x72f1aed9,
-  0x382493b0, 0x7307c3d0, 0x37f76341, 0x731dc70a, 0x37ca2a30, 0x7333b883,
-    0x379ce885, 0x73499838,
-  0x376f9e46, 0x735f6626, 0x37424b7b, 0x73752249, 0x3714f02a, 0x738acc9e,
-    0x36e78c5b, 0x73a06522,
-  0x36ba2014, 0x73b5ebd1, 0x368cab5c, 0x73cb60a8, 0x365f2e3b, 0x73e0c3a3,
-    0x3631a8b8, 0x73f614c0,
-  0x36041ad9, 0x740b53fb, 0x35d684a6, 0x74208150, 0x35a8e625, 0x74359cbd,
-    0x357b3f5d, 0x744aa63f,
-  0x354d9057, 0x745f9dd1, 0x351fd918, 0x74748371, 0x34f219a8, 0x7489571c,
-    0x34c4520d, 0x749e18cd,
-  0x34968250, 0x74b2c884, 0x3468aa76, 0x74c7663a, 0x343aca87, 0x74dbf1ef,
-    0x340ce28b, 0x74f06b9e,
-  0x33def287, 0x7504d345, 0x33b0fa84, 0x751928e0, 0x3382fa88, 0x752d6c6c,
-    0x3354f29b, 0x75419de7,
-  0x3326e2c3, 0x7555bd4c, 0x32f8cb07, 0x7569ca99, 0x32caab6f, 0x757dc5ca,
-    0x329c8402, 0x7591aedd,
-  0x326e54c7, 0x75a585cf, 0x32401dc6, 0x75b94a9c, 0x3211df04, 0x75ccfd42,
-    0x31e39889, 0x75e09dbd,
-  0x31b54a5e, 0x75f42c0b, 0x3186f487, 0x7607a828, 0x3158970e, 0x761b1211,
-    0x312a31f8, 0x762e69c4,
-  0x30fbc54d, 0x7641af3d, 0x30cd5115, 0x7654e279, 0x309ed556, 0x76680376,
-    0x30705217, 0x767b1231,
-  0x3041c761, 0x768e0ea6, 0x30133539, 0x76a0f8d2, 0x2fe49ba7, 0x76b3d0b4,
-    0x2fb5fab2, 0x76c69647,
-  0x2f875262, 0x76d94989, 0x2f58a2be, 0x76ebea77, 0x2f29ebcc, 0x76fe790e,
-    0x2efb2d95, 0x7710f54c,
-  0x2ecc681e, 0x77235f2d, 0x2e9d9b70, 0x7735b6af, 0x2e6ec792, 0x7747fbce,
-    0x2e3fec8b, 0x775a2e89,
-  0x2e110a62, 0x776c4edb, 0x2de2211e, 0x777e5cc3, 0x2db330c7, 0x7790583e,
-    0x2d843964, 0x77a24148,
-  0x2d553afc, 0x77b417df, 0x2d263596, 0x77c5dc01, 0x2cf72939, 0x77d78daa,
-    0x2cc815ee, 0x77e92cd9,
-  0x2c98fbba, 0x77fab989, 0x2c69daa6, 0x780c33b8, 0x2c3ab2b9, 0x781d9b65,
-    0x2c0b83fa, 0x782ef08b,
-  0x2bdc4e6f, 0x78403329, 0x2bad1221, 0x7851633b, 0x2b7dcf17, 0x786280bf,
-    0x2b4e8558, 0x78738bb3,
-  0x2b1f34eb, 0x78848414, 0x2aefddd8, 0x789569df, 0x2ac08026, 0x78a63d11,
-    0x2a911bdc, 0x78b6fda8,
-  0x2a61b101, 0x78c7aba2, 0x2a323f9e, 0x78d846fb, 0x2a02c7b8, 0x78e8cfb2,
-    0x29d34958, 0x78f945c3,
-  0x29a3c485, 0x7909a92d, 0x29743946, 0x7919f9ec, 0x2944a7a2, 0x792a37fe,
-    0x29150fa1, 0x793a6361,
-  0x28e5714b, 0x794a7c12, 0x28b5cca5, 0x795a820e, 0x288621b9, 0x796a7554,
-    0x2856708d, 0x797a55e0,
-  0x2826b928, 0x798a23b1, 0x27f6fb92, 0x7999dec4, 0x27c737d3, 0x79a98715,
-    0x27976df1, 0x79b91ca4,
-  0x27679df4, 0x79c89f6e, 0x2737c7e3, 0x79d80f6f, 0x2707ebc7, 0x79e76ca7,
-    0x26d809a5, 0x79f6b711,
-  0x26a82186, 0x7a05eead, 0x26783370, 0x7a151378, 0x26483f6c, 0x7a24256f,
-    0x26184581, 0x7a332490,
-  0x25e845b6, 0x7a4210d8, 0x25b84012, 0x7a50ea47, 0x2588349d, 0x7a5fb0d8,
-    0x2558235f, 0x7a6e648a,
-  0x25280c5e, 0x7a7d055b, 0x24f7efa2, 0x7a8b9348, 0x24c7cd33, 0x7a9a0e50,
-    0x2497a517, 0x7aa8766f,
-  0x24677758, 0x7ab6cba4, 0x243743fa, 0x7ac50dec, 0x24070b08, 0x7ad33d45,
-    0x23d6cc87, 0x7ae159ae,
-  0x23a6887f, 0x7aef6323, 0x23763ef7, 0x7afd59a4, 0x2345eff8, 0x7b0b3d2c,
-    0x23159b88, 0x7b190dbc,
-  0x22e541af, 0x7b26cb4f, 0x22b4e274, 0x7b3475e5, 0x22847de0, 0x7b420d7a,
-    0x225413f8, 0x7b4f920e,
-  0x2223a4c5, 0x7b5d039e, 0x21f3304f, 0x7b6a6227, 0x21c2b69c, 0x7b77ada8,
-    0x219237b5, 0x7b84e61f,
-  0x2161b3a0, 0x7b920b89, 0x21312a65, 0x7b9f1de6, 0x21009c0c, 0x7bac1d31,
-    0x20d0089c, 0x7bb9096b,
-  0x209f701c, 0x7bc5e290, 0x206ed295, 0x7bd2a89e, 0x203e300d, 0x7bdf5b94,
-    0x200d888d, 0x7bebfb70,
-  0x1fdcdc1b, 0x7bf88830, 0x1fac2abf, 0x7c0501d2, 0x1f7b7481, 0x7c116853,
-    0x1f4ab968, 0x7c1dbbb3,
-  0x1f19f97b, 0x7c29fbee, 0x1ee934c3, 0x7c362904, 0x1eb86b46, 0x7c4242f2,
-    0x1e879d0d, 0x7c4e49b7,
-  0x1e56ca1e, 0x7c5a3d50, 0x1e25f282, 0x7c661dbc, 0x1df5163f, 0x7c71eaf9,
-    0x1dc4355e, 0x7c7da505,
-  0x1d934fe5, 0x7c894bde, 0x1d6265dd, 0x7c94df83, 0x1d31774d, 0x7ca05ff1,
-    0x1d00843d, 0x7cabcd28,
-  0x1ccf8cb3, 0x7cb72724, 0x1c9e90b8, 0x7cc26de5, 0x1c6d9053, 0x7ccda169,
-    0x1c3c8b8c, 0x7cd8c1ae,
-  0x1c0b826a, 0x7ce3ceb2, 0x1bda74f6, 0x7ceec873, 0x1ba96335, 0x7cf9aef0,
-    0x1b784d30, 0x7d048228,
-  0x1b4732ef, 0x7d0f4218, 0x1b161479, 0x7d19eebf, 0x1ae4f1d6, 0x7d24881b,
-    0x1ab3cb0d, 0x7d2f0e2b,
-  0x1a82a026, 0x7d3980ec, 0x1a517128, 0x7d43e05e, 0x1a203e1b, 0x7d4e2c7f,
-    0x19ef0707, 0x7d58654d,
-  0x19bdcbf3, 0x7d628ac6, 0x198c8ce7, 0x7d6c9ce9, 0x195b49ea, 0x7d769bb5,
-    0x192a0304, 0x7d808728,
-  0x18f8b83c, 0x7d8a5f40, 0x18c7699b, 0x7d9423fc, 0x18961728, 0x7d9dd55a,
-    0x1864c0ea, 0x7da77359,
-  0x183366e9, 0x7db0fdf8, 0x1802092c, 0x7dba7534, 0x17d0a7bc, 0x7dc3d90d,
-    0x179f429f, 0x7dcd2981,
-  0x176dd9de, 0x7dd6668f, 0x173c6d80, 0x7ddf9034, 0x170afd8d, 0x7de8a670,
-    0x16d98a0c, 0x7df1a942,
-  0x16a81305, 0x7dfa98a8, 0x1676987f, 0x7e0374a0, 0x16451a83, 0x7e0c3d29,
-    0x16139918, 0x7e14f242,
-  0x15e21445, 0x7e1d93ea, 0x15b08c12, 0x7e26221f, 0x157f0086, 0x7e2e9cdf,
-    0x154d71aa, 0x7e37042a,
-  0x151bdf86, 0x7e3f57ff, 0x14ea4a1f, 0x7e47985b, 0x14b8b17f, 0x7e4fc53e,
-    0x148715ae, 0x7e57dea7,
-  0x145576b1, 0x7e5fe493, 0x1423d492, 0x7e67d703, 0x13f22f58, 0x7e6fb5f4,
-    0x13c0870a, 0x7e778166,
-  0x138edbb1, 0x7e7f3957, 0x135d2d53, 0x7e86ddc6, 0x132b7bf9, 0x7e8e6eb2,
-    0x12f9c7aa, 0x7e95ec1a,
-  0x12c8106f, 0x7e9d55fc, 0x1296564d, 0x7ea4ac58, 0x1264994e, 0x7eabef2c,
-    0x1232d979, 0x7eb31e78,
-  0x120116d5, 0x7eba3a39, 0x11cf516a, 0x7ec14270, 0x119d8941, 0x7ec8371a,
-    0x116bbe60, 0x7ecf1837,
-  0x1139f0cf, 0x7ed5e5c6, 0x11082096, 0x7edc9fc6, 0x10d64dbd, 0x7ee34636,
-    0x10a4784b, 0x7ee9d914,
-  0x1072a048, 0x7ef05860, 0x1040c5bb, 0x7ef6c418, 0x100ee8ad, 0x7efd1c3c,
-    0xfdd0926, 0x7f0360cb,
-  0xfab272b, 0x7f0991c4, 0xf7942c7, 0x7f0faf25, 0xf475bff, 0x7f15b8ee,
-    0xf1572dc, 0x7f1baf1e,
-  0xee38766, 0x7f2191b4, 0xeb199a4, 0x7f2760af, 0xe7fa99e, 0x7f2d1c0e,
-    0xe4db75b, 0x7f32c3d1,
-  0xe1bc2e4, 0x7f3857f6, 0xde9cc40, 0x7f3dd87c, 0xdb7d376, 0x7f434563,
-    0xd85d88f, 0x7f489eaa,
-  0xd53db92, 0x7f4de451, 0xd21dc87, 0x7f531655, 0xcefdb76, 0x7f5834b7,
-    0xcbdd865, 0x7f5d3f75,
-  0xc8bd35e, 0x7f62368f, 0xc59cc68, 0x7f671a05, 0xc27c389, 0x7f6be9d4,
-    0xbf5b8cb, 0x7f70a5fe,
-  0xbc3ac35, 0x7f754e80, 0xb919dcf, 0x7f79e35a, 0xb5f8d9f, 0x7f7e648c,
-    0xb2d7baf, 0x7f82d214,
-  0xafb6805, 0x7f872bf3, 0xac952aa, 0x7f8b7227, 0xa973ba5, 0x7f8fa4b0,
-    0xa6522fe, 0x7f93c38c,
-  0xa3308bd, 0x7f97cebd, 0xa00ece8, 0x7f9bc640, 0x9cecf89, 0x7f9faa15,
-    0x99cb0a7, 0x7fa37a3c,
-  0x96a9049, 0x7fa736b4, 0x9386e78, 0x7faadf7c, 0x9064b3a, 0x7fae7495,
-    0x8d42699, 0x7fb1f5fc,
-  0x8a2009a, 0x7fb563b3, 0x86fd947, 0x7fb8bdb8, 0x83db0a7, 0x7fbc040a,
-    0x80b86c2, 0x7fbf36aa,
-  0x7d95b9e, 0x7fc25596, 0x7a72f45, 0x7fc560cf, 0x77501be, 0x7fc85854,
-    0x742d311, 0x7fcb3c23,
-  0x710a345, 0x7fce0c3e, 0x6de7262, 0x7fd0c8a3, 0x6ac406f, 0x7fd37153,
-    0x67a0d76, 0x7fd6064c,
-  0x647d97c, 0x7fd8878e, 0x615a48b, 0x7fdaf519, 0x5e36ea9, 0x7fdd4eec,
-    0x5b137df, 0x7fdf9508,
-  0x57f0035, 0x7fe1c76b, 0x54cc7b1, 0x7fe3e616, 0x51a8e5c, 0x7fe5f108,
-    0x4e8543e, 0x7fe7e841,
-  0x4b6195d, 0x7fe9cbc0, 0x483ddc3, 0x7feb9b85, 0x451a177, 0x7fed5791,
-    0x41f6480, 0x7feeffe1,
-  0x3ed26e6, 0x7ff09478, 0x3bae8b2, 0x7ff21553, 0x388a9ea, 0x7ff38274,
-    0x3566a96, 0x7ff4dbd9,
-  0x3242abf, 0x7ff62182, 0x2f1ea6c, 0x7ff75370, 0x2bfa9a4, 0x7ff871a2,
-    0x28d6870, 0x7ff97c18,
-  0x25b26d7, 0x7ffa72d1, 0x228e4e2, 0x7ffb55ce, 0x1f6a297, 0x7ffc250f,
-    0x1c45ffe, 0x7ffce093,
-  0x1921d20, 0x7ffd885a, 0x15fda03, 0x7ffe1c65, 0x12d96b1, 0x7ffe9cb2,
-    0xfb5330, 0x7fff0943,
-  0xc90f88, 0x7fff6216, 0x96cbc1, 0x7fffa72c, 0x6487e3, 0x7fffd886, 0x3243f5,
-    0x7ffff621,
-  0x0, 0x7fffffff, 0xffcdbc0b, 0x7ffff621, 0xff9b781d, 0x7fffd886, 0xff69343f,
-    0x7fffa72c,
-  0xff36f078, 0x7fff6216, 0xff04acd0, 0x7fff0943, 0xfed2694f, 0x7ffe9cb2,
-    0xfea025fd, 0x7ffe1c65,
-  0xfe6de2e0, 0x7ffd885a, 0xfe3ba002, 0x7ffce093, 0xfe095d69, 0x7ffc250f,
-    0xfdd71b1e, 0x7ffb55ce,
-  0xfda4d929, 0x7ffa72d1, 0xfd729790, 0x7ff97c18, 0xfd40565c, 0x7ff871a2,
-    0xfd0e1594, 0x7ff75370,
-  0xfcdbd541, 0x7ff62182, 0xfca9956a, 0x7ff4dbd9, 0xfc775616, 0x7ff38274,
-    0xfc45174e, 0x7ff21553,
-  0xfc12d91a, 0x7ff09478, 0xfbe09b80, 0x7feeffe1, 0xfbae5e89, 0x7fed5791,
-    0xfb7c223d, 0x7feb9b85,
-  0xfb49e6a3, 0x7fe9cbc0, 0xfb17abc2, 0x7fe7e841, 0xfae571a4, 0x7fe5f108,
-    0xfab3384f, 0x7fe3e616,
-  0xfa80ffcb, 0x7fe1c76b, 0xfa4ec821, 0x7fdf9508, 0xfa1c9157, 0x7fdd4eec,
-    0xf9ea5b75, 0x7fdaf519,
-  0xf9b82684, 0x7fd8878e, 0xf985f28a, 0x7fd6064c, 0xf953bf91, 0x7fd37153,
-    0xf9218d9e, 0x7fd0c8a3,
-  0xf8ef5cbb, 0x7fce0c3e, 0xf8bd2cef, 0x7fcb3c23, 0xf88afe42, 0x7fc85854,
-    0xf858d0bb, 0x7fc560cf,
-  0xf826a462, 0x7fc25596, 0xf7f4793e, 0x7fbf36aa, 0xf7c24f59, 0x7fbc040a,
-    0xf79026b9, 0x7fb8bdb8,
-  0xf75dff66, 0x7fb563b3, 0xf72bd967, 0x7fb1f5fc, 0xf6f9b4c6, 0x7fae7495,
-    0xf6c79188, 0x7faadf7c,
-  0xf6956fb7, 0x7fa736b4, 0xf6634f59, 0x7fa37a3c, 0xf6313077, 0x7f9faa15,
-    0xf5ff1318, 0x7f9bc640,
-  0xf5ccf743, 0x7f97cebd, 0xf59add02, 0x7f93c38c, 0xf568c45b, 0x7f8fa4b0,
-    0xf536ad56, 0x7f8b7227,
-  0xf50497fb, 0x7f872bf3, 0xf4d28451, 0x7f82d214, 0xf4a07261, 0x7f7e648c,
-    0xf46e6231, 0x7f79e35a,
-  0xf43c53cb, 0x7f754e80, 0xf40a4735, 0x7f70a5fe, 0xf3d83c77, 0x7f6be9d4,
-    0xf3a63398, 0x7f671a05,
-  0xf3742ca2, 0x7f62368f, 0xf342279b, 0x7f5d3f75, 0xf310248a, 0x7f5834b7,
-    0xf2de2379, 0x7f531655,
-  0xf2ac246e, 0x7f4de451, 0xf27a2771, 0x7f489eaa, 0xf2482c8a, 0x7f434563,
-    0xf21633c0, 0x7f3dd87c,
-  0xf1e43d1c, 0x7f3857f6, 0xf1b248a5, 0x7f32c3d1, 0xf1805662, 0x7f2d1c0e,
-    0xf14e665c, 0x7f2760af,
-  0xf11c789a, 0x7f2191b4, 0xf0ea8d24, 0x7f1baf1e, 0xf0b8a401, 0x7f15b8ee,
-    0xf086bd39, 0x7f0faf25,
-  0xf054d8d5, 0x7f0991c4, 0xf022f6da, 0x7f0360cb, 0xeff11753, 0x7efd1c3c,
-    0xefbf3a45, 0x7ef6c418,
-  0xef8d5fb8, 0x7ef05860, 0xef5b87b5, 0x7ee9d914, 0xef29b243, 0x7ee34636,
-    0xeef7df6a, 0x7edc9fc6,
-  0xeec60f31, 0x7ed5e5c6, 0xee9441a0, 0x7ecf1837, 0xee6276bf, 0x7ec8371a,
-    0xee30ae96, 0x7ec14270,
-  0xedfee92b, 0x7eba3a39, 0xedcd2687, 0x7eb31e78, 0xed9b66b2, 0x7eabef2c,
-    0xed69a9b3, 0x7ea4ac58,
-  0xed37ef91, 0x7e9d55fc, 0xed063856, 0x7e95ec1a, 0xecd48407, 0x7e8e6eb2,
-    0xeca2d2ad, 0x7e86ddc6,
-  0xec71244f, 0x7e7f3957, 0xec3f78f6, 0x7e778166, 0xec0dd0a8, 0x7e6fb5f4,
-    0xebdc2b6e, 0x7e67d703,
-  0xebaa894f, 0x7e5fe493, 0xeb78ea52, 0x7e57dea7, 0xeb474e81, 0x7e4fc53e,
-    0xeb15b5e1, 0x7e47985b,
-  0xeae4207a, 0x7e3f57ff, 0xeab28e56, 0x7e37042a, 0xea80ff7a, 0x7e2e9cdf,
-    0xea4f73ee, 0x7e26221f,
-  0xea1debbb, 0x7e1d93ea, 0xe9ec66e8, 0x7e14f242, 0xe9bae57d, 0x7e0c3d29,
-    0xe9896781, 0x7e0374a0,
-  0xe957ecfb, 0x7dfa98a8, 0xe92675f4, 0x7df1a942, 0xe8f50273, 0x7de8a670,
-    0xe8c39280, 0x7ddf9034,
-  0xe8922622, 0x7dd6668f, 0xe860bd61, 0x7dcd2981, 0xe82f5844, 0x7dc3d90d,
-    0xe7fdf6d4, 0x7dba7534,
-  0xe7cc9917, 0x7db0fdf8, 0xe79b3f16, 0x7da77359, 0xe769e8d8, 0x7d9dd55a,
-    0xe7389665, 0x7d9423fc,
-  0xe70747c4, 0x7d8a5f40, 0xe6d5fcfc, 0x7d808728, 0xe6a4b616, 0x7d769bb5,
-    0xe6737319, 0x7d6c9ce9,
-  0xe642340d, 0x7d628ac6, 0xe610f8f9, 0x7d58654d, 0xe5dfc1e5, 0x7d4e2c7f,
-    0xe5ae8ed8, 0x7d43e05e,
-  0xe57d5fda, 0x7d3980ec, 0xe54c34f3, 0x7d2f0e2b, 0xe51b0e2a, 0x7d24881b,
-    0xe4e9eb87, 0x7d19eebf,
-  0xe4b8cd11, 0x7d0f4218, 0xe487b2d0, 0x7d048228, 0xe4569ccb, 0x7cf9aef0,
-    0xe4258b0a, 0x7ceec873,
-  0xe3f47d96, 0x7ce3ceb2, 0xe3c37474, 0x7cd8c1ae, 0xe3926fad, 0x7ccda169,
-    0xe3616f48, 0x7cc26de5,
-  0xe330734d, 0x7cb72724, 0xe2ff7bc3, 0x7cabcd28, 0xe2ce88b3, 0x7ca05ff1,
-    0xe29d9a23, 0x7c94df83,
-  0xe26cb01b, 0x7c894bde, 0xe23bcaa2, 0x7c7da505, 0xe20ae9c1, 0x7c71eaf9,
-    0xe1da0d7e, 0x7c661dbc,
-  0xe1a935e2, 0x7c5a3d50, 0xe17862f3, 0x7c4e49b7, 0xe14794ba, 0x7c4242f2,
-    0xe116cb3d, 0x7c362904,
-  0xe0e60685, 0x7c29fbee, 0xe0b54698, 0x7c1dbbb3, 0xe0848b7f, 0x7c116853,
-    0xe053d541, 0x7c0501d2,
-  0xe02323e5, 0x7bf88830, 0xdff27773, 0x7bebfb70, 0xdfc1cff3, 0x7bdf5b94,
-    0xdf912d6b, 0x7bd2a89e,
-  0xdf608fe4, 0x7bc5e290, 0xdf2ff764, 0x7bb9096b, 0xdeff63f4, 0x7bac1d31,
-    0xdeced59b, 0x7b9f1de6,
-  0xde9e4c60, 0x7b920b89, 0xde6dc84b, 0x7b84e61f, 0xde3d4964, 0x7b77ada8,
-    0xde0ccfb1, 0x7b6a6227,
-  0xdddc5b3b, 0x7b5d039e, 0xddabec08, 0x7b4f920e, 0xdd7b8220, 0x7b420d7a,
-    0xdd4b1d8c, 0x7b3475e5,
-  0xdd1abe51, 0x7b26cb4f, 0xdcea6478, 0x7b190dbc, 0xdcba1008, 0x7b0b3d2c,
-    0xdc89c109, 0x7afd59a4,
-  0xdc597781, 0x7aef6323, 0xdc293379, 0x7ae159ae, 0xdbf8f4f8, 0x7ad33d45,
-    0xdbc8bc06, 0x7ac50dec,
-  0xdb9888a8, 0x7ab6cba4, 0xdb685ae9, 0x7aa8766f, 0xdb3832cd, 0x7a9a0e50,
-    0xdb08105e, 0x7a8b9348,
-  0xdad7f3a2, 0x7a7d055b, 0xdaa7dca1, 0x7a6e648a, 0xda77cb63, 0x7a5fb0d8,
-    0xda47bfee, 0x7a50ea47,
-  0xda17ba4a, 0x7a4210d8, 0xd9e7ba7f, 0x7a332490, 0xd9b7c094, 0x7a24256f,
-    0xd987cc90, 0x7a151378,
-  0xd957de7a, 0x7a05eead, 0xd927f65b, 0x79f6b711, 0xd8f81439, 0x79e76ca7,
-    0xd8c8381d, 0x79d80f6f,
-  0xd898620c, 0x79c89f6e, 0xd868920f, 0x79b91ca4, 0xd838c82d, 0x79a98715,
-    0xd809046e, 0x7999dec4,
-  0xd7d946d8, 0x798a23b1, 0xd7a98f73, 0x797a55e0, 0xd779de47, 0x796a7554,
-    0xd74a335b, 0x795a820e,
-  0xd71a8eb5, 0x794a7c12, 0xd6eaf05f, 0x793a6361, 0xd6bb585e, 0x792a37fe,
-    0xd68bc6ba, 0x7919f9ec,
-  0xd65c3b7b, 0x7909a92d, 0xd62cb6a8, 0x78f945c3, 0xd5fd3848, 0x78e8cfb2,
-    0xd5cdc062, 0x78d846fb,
-  0xd59e4eff, 0x78c7aba2, 0xd56ee424, 0x78b6fda8, 0xd53f7fda, 0x78a63d11,
-    0xd5102228, 0x789569df,
-  0xd4e0cb15, 0x78848414, 0xd4b17aa8, 0x78738bb3, 0xd48230e9, 0x786280bf,
-    0xd452eddf, 0x7851633b,
-  0xd423b191, 0x78403329, 0xd3f47c06, 0x782ef08b, 0xd3c54d47, 0x781d9b65,
-    0xd396255a, 0x780c33b8,
-  0xd3670446, 0x77fab989, 0xd337ea12, 0x77e92cd9, 0xd308d6c7, 0x77d78daa,
-    0xd2d9ca6a, 0x77c5dc01,
-  0xd2aac504, 0x77b417df, 0xd27bc69c, 0x77a24148, 0xd24ccf39, 0x7790583e,
-    0xd21ddee2, 0x777e5cc3,
-  0xd1eef59e, 0x776c4edb, 0xd1c01375, 0x775a2e89, 0xd191386e, 0x7747fbce,
-    0xd1626490, 0x7735b6af,
-  0xd13397e2, 0x77235f2d, 0xd104d26b, 0x7710f54c, 0xd0d61434, 0x76fe790e,
-    0xd0a75d42, 0x76ebea77,
-  0xd078ad9e, 0x76d94989, 0xd04a054e, 0x76c69647, 0xd01b6459, 0x76b3d0b4,
-    0xcfeccac7, 0x76a0f8d2,
-  0xcfbe389f, 0x768e0ea6, 0xcf8fade9, 0x767b1231, 0xcf612aaa, 0x76680376,
-    0xcf32aeeb, 0x7654e279,
-  0xcf043ab3, 0x7641af3d, 0xced5ce08, 0x762e69c4, 0xcea768f2, 0x761b1211,
-    0xce790b79, 0x7607a828,
-  0xce4ab5a2, 0x75f42c0b, 0xce1c6777, 0x75e09dbd, 0xcdee20fc, 0x75ccfd42,
-    0xcdbfe23a, 0x75b94a9c,
-  0xcd91ab39, 0x75a585cf, 0xcd637bfe, 0x7591aedd, 0xcd355491, 0x757dc5ca,
-    0xcd0734f9, 0x7569ca99,
-  0xccd91d3d, 0x7555bd4c, 0xccab0d65, 0x75419de7, 0xcc7d0578, 0x752d6c6c,
-    0xcc4f057c, 0x751928e0,
-  0xcc210d79, 0x7504d345, 0xcbf31d75, 0x74f06b9e, 0xcbc53579, 0x74dbf1ef,
-    0xcb97558a, 0x74c7663a,
-  0xcb697db0, 0x74b2c884, 0xcb3badf3, 0x749e18cd, 0xcb0de658, 0x7489571c,
-    0xcae026e8, 0x74748371,
-  0xcab26fa9, 0x745f9dd1, 0xca84c0a3, 0x744aa63f, 0xca5719db, 0x74359cbd,
-    0xca297b5a, 0x74208150,
-  0xc9fbe527, 0x740b53fb, 0xc9ce5748, 0x73f614c0, 0xc9a0d1c5, 0x73e0c3a3,
-    0xc97354a4, 0x73cb60a8,
-  0xc945dfec, 0x73b5ebd1, 0xc91873a5, 0x73a06522, 0xc8eb0fd6, 0x738acc9e,
-    0xc8bdb485, 0x73752249,
-  0xc89061ba, 0x735f6626, 0xc863177b, 0x73499838, 0xc835d5d0, 0x7333b883,
-    0xc8089cbf, 0x731dc70a,
-  0xc7db6c50, 0x7307c3d0, 0xc7ae4489, 0x72f1aed9, 0xc7812572, 0x72db8828,
-    0xc7540f11, 0x72c54fc1,
-  0xc727016d, 0x72af05a7, 0xc6f9fc8d, 0x7298a9dd, 0xc6cd0079, 0x72823c67,
-    0xc6a00d37, 0x726bbd48,
-  0xc67322ce, 0x72552c85, 0xc6464144, 0x723e8a20, 0xc61968a2, 0x7227d61c,
-    0xc5ec98ee, 0x7211107e,
-  0xc5bfd22e, 0x71fa3949, 0xc593146a, 0x71e35080, 0xc5665fa9, 0x71cc5626,
-    0xc539b3f1, 0x71b54a41,
-  0xc50d1149, 0x719e2cd2, 0xc4e077b8, 0x7186fdde, 0xc4b3e746, 0x716fbd68,
-    0xc4875ff9, 0x71586b74,
-  0xc45ae1d7, 0x71410805, 0xc42e6ce8, 0x7129931f, 0xc4020133, 0x71120cc5,
-    0xc3d59ebe, 0x70fa74fc,
-  0xc3a94590, 0x70e2cbc6, 0xc37cf5b0, 0x70cb1128, 0xc350af26, 0x70b34525,
-    0xc32471f7, 0x709b67c0,
-  0xc2f83e2a, 0x708378ff, 0xc2cc13c7, 0x706b78e3, 0xc29ff2d4, 0x70536771,
-    0xc273db58, 0x703b44ad,
-  0xc247cd5a, 0x7023109a, 0xc21bc8e1, 0x700acb3c, 0xc1efcdf3, 0x6ff27497,
-    0xc1c3dc97, 0x6fda0cae,
-  0xc197f4d4, 0x6fc19385, 0xc16c16b0, 0x6fa90921, 0xc1404233, 0x6f906d84,
-    0xc1147764, 0x6f77c0b3,
-  0xc0e8b648, 0x6f5f02b2, 0xc0bcfee7, 0x6f463383, 0xc0915148, 0x6f2d532c,
-    0xc065ad70, 0x6f1461b0,
-  0xc03a1368, 0x6efb5f12, 0xc00e8336, 0x6ee24b57, 0xbfe2fcdf, 0x6ec92683,
-    0xbfb7806c, 0x6eaff099,
-  0xbf8c0de3, 0x6e96a99d, 0xbf60a54a, 0x6e7d5193, 0xbf3546a8, 0x6e63e87f,
-    0xbf09f205, 0x6e4a6e66,
-  0xbedea765, 0x6e30e34a, 0xbeb366d1, 0x6e174730, 0xbe88304f, 0x6dfd9a1c,
-    0xbe5d03e6, 0x6de3dc11,
-  0xbe31e19b, 0x6dca0d14, 0xbe06c977, 0x6db02d29, 0xbddbbb7f, 0x6d963c54,
-    0xbdb0b7bb, 0x6d7c3a98,
-  0xbd85be30, 0x6d6227fa, 0xbd5acee5, 0x6d48047e, 0xbd2fe9e2, 0x6d2dd027,
-    0xbd050f2c, 0x6d138afb,
-  0xbcda3ecb, 0x6cf934fc, 0xbcaf78c4, 0x6cdece2f, 0xbc84bd1f, 0x6cc45698,
-    0xbc5a0be2, 0x6ca9ce3b,
-  0xbc2f6513, 0x6c8f351c, 0xbc04c8ba, 0x6c748b3f, 0xbbda36dd, 0x6c59d0a9,
-    0xbbafaf82, 0x6c3f055d,
-  0xbb8532b0, 0x6c242960, 0xbb5ac06d, 0x6c093cb6, 0xbb3058c0, 0x6bee3f62,
-    0xbb05fbb0, 0x6bd3316a,
-  0xbadba943, 0x6bb812d1, 0xbab16180, 0x6b9ce39b, 0xba87246d, 0x6b81a3cd,
-    0xba5cf210, 0x6b66536b,
-  0xba32ca71, 0x6b4af279, 0xba08ad95, 0x6b2f80fb, 0xb9de9b83, 0x6b13fef5,
-    0xb9b49442, 0x6af86c6c,
-  0xb98a97d8, 0x6adcc964, 0xb960a64c, 0x6ac115e2, 0xb936bfa4, 0x6aa551e9,
-    0xb90ce3e6, 0x6a897d7d,
-  0xb8e31319, 0x6a6d98a4, 0xb8b94d44, 0x6a51a361, 0xb88f926d, 0x6a359db9,
-    0xb865e299, 0x6a1987b0,
-  0xb83c3dd1, 0x69fd614a, 0xb812a41a, 0x69e12a8c, 0xb7e9157a, 0x69c4e37a,
-    0xb7bf91f8, 0x69a88c19,
-  0xb796199b, 0x698c246c, 0xb76cac69, 0x696fac78, 0xb7434a67, 0x69532442,
-    0xb719f39e, 0x69368bce,
-  0xb6f0a812, 0x6919e320, 0xb6c767ca, 0x68fd2a3d, 0xb69e32cd, 0x68e06129,
-    0xb6750921, 0x68c387e9,
-  0xb64beacd, 0x68a69e81, 0xb622d7d6, 0x6889a4f6, 0xb5f9d043, 0x686c9b4b,
-    0xb5d0d41a, 0x684f8186,
-  0xb5a7e362, 0x683257ab, 0xb57efe22, 0x68151dbe, 0xb556245e, 0x67f7d3c5,
-    0xb52d561e, 0x67da79c3,
-  0xb5049368, 0x67bd0fbd, 0xb4dbdc42, 0x679f95b7, 0xb4b330b3, 0x67820bb7,
-    0xb48a90c0, 0x676471c0,
-  0xb461fc70, 0x6746c7d8, 0xb43973ca, 0x67290e02, 0xb410f6d3, 0x670b4444,
-    0xb3e88592, 0x66ed6aa1,
-  0xb3c0200c, 0x66cf8120, 0xb397c649, 0x66b187c3, 0xb36f784f, 0x66937e91,
-    0xb3473623, 0x6675658c,
-  0xb31effcc, 0x66573cbb, 0xb2f6d550, 0x66390422, 0xb2ceb6b5, 0x661abbc5,
-    0xb2a6a402, 0x65fc63a9,
-  0xb27e9d3c, 0x65ddfbd3, 0xb256a26a, 0x65bf8447, 0xb22eb392, 0x65a0fd0b,
-    0xb206d0ba, 0x65826622,
-  0xb1def9e9, 0x6563bf92, 0xb1b72f23, 0x6545095f, 0xb18f7071, 0x6526438f,
-    0xb167bdd7, 0x65076e25,
-  0xb140175b, 0x64e88926, 0xb1187d05, 0x64c99498, 0xb0f0eeda, 0x64aa907f,
-    0xb0c96ce0, 0x648b7ce0,
-  0xb0a1f71d, 0x646c59bf, 0xb07a8d97, 0x644d2722, 0xb0533055, 0x642de50d,
-    0xb02bdf5c, 0x640e9386,
-  0xb0049ab3, 0x63ef3290, 0xafdd625f, 0x63cfc231, 0xafb63667, 0x63b0426d,
-    0xaf8f16d1, 0x6390b34a,
-  0xaf6803a2, 0x637114cc, 0xaf40fce1, 0x635166f9, 0xaf1a0293, 0x6331a9d4,
-    0xaef314c0, 0x6311dd64,
-  0xaecc336c, 0x62f201ac, 0xaea55e9e, 0x62d216b3, 0xae7e965b, 0x62b21c7b,
-    0xae57daab, 0x6292130c,
-  0xae312b92, 0x6271fa69, 0xae0a8916, 0x6251d298, 0xade3f33e, 0x62319b9d,
-    0xadbd6a10, 0x6211557e,
-  0xad96ed92, 0x61f1003f, 0xad707dc8, 0x61d09be5, 0xad4a1aba, 0x61b02876,
-    0xad23c46e, 0x618fa5f7,
-  0xacfd7ae8, 0x616f146c, 0xacd73e30, 0x614e73da, 0xacb10e4b, 0x612dc447,
-    0xac8aeb3e, 0x610d05b7,
-  0xac64d510, 0x60ec3830, 0xac3ecbc7, 0x60cb5bb7, 0xac18cf69, 0x60aa7050,
-    0xabf2dffb, 0x60897601,
-  0xabccfd83, 0x60686ccf, 0xaba72807, 0x604754bf, 0xab815f8d, 0x60262dd6,
-    0xab5ba41a, 0x6004f819,
-  0xab35f5b5, 0x5fe3b38d, 0xab105464, 0x5fc26038, 0xaaeac02c, 0x5fa0fe1f,
-    0xaac53912, 0x5f7f8d46,
-  0xaa9fbf1e, 0x5f5e0db3, 0xaa7a5253, 0x5f3c7f6b, 0xaa54f2ba, 0x5f1ae274,
-    0xaa2fa056, 0x5ef936d1,
-  0xaa0a5b2e, 0x5ed77c8a, 0xa9e52347, 0x5eb5b3a2, 0xa9bff8a8, 0x5e93dc1f,
-    0xa99adb56, 0x5e71f606,
-  0xa975cb57, 0x5e50015d, 0xa950c8b0, 0x5e2dfe29, 0xa92bd367, 0x5e0bec6e,
-    0xa906eb82, 0x5de9cc33,
-  0xa8e21106, 0x5dc79d7c, 0xa8bd43fa, 0x5da5604f, 0xa8988463, 0x5d8314b1,
-    0xa873d246, 0x5d60baa7,
-  0xa84f2daa, 0x5d3e5237, 0xa82a9693, 0x5d1bdb65, 0xa8060d08, 0x5cf95638,
-    0xa7e1910f, 0x5cd6c2b5,
-  0xa7bd22ac, 0x5cb420e0, 0xa798c1e5, 0x5c9170bf, 0xa7746ec0, 0x5c6eb258,
-    0xa7502943, 0x5c4be5b0,
-  0xa72bf174, 0x5c290acc, 0xa707c757, 0x5c0621b2, 0xa6e3aaf2, 0x5be32a67,
-    0xa6bf9c4b, 0x5bc024f0,
-  0xa69b9b68, 0x5b9d1154, 0xa677a84e, 0x5b79ef96, 0xa653c303, 0x5b56bfbd,
-    0xa62feb8b, 0x5b3381ce,
-  0xa60c21ee, 0x5b1035cf, 0xa5e8662f, 0x5aecdbc5, 0xa5c4b855, 0x5ac973b5,
-    0xa5a11866, 0x5aa5fda5,
-  0xa57d8666, 0x5a82799a, 0xa55a025b, 0x5a5ee79a, 0xa5368c4b, 0x5a3b47ab,
-    0xa513243b, 0x5a1799d1,
-  0xa4efca31, 0x59f3de12, 0xa4cc7e32, 0x59d01475, 0xa4a94043, 0x59ac3cfd,
-    0xa486106a, 0x598857b2,
-  0xa462eeac, 0x59646498, 0xa43fdb10, 0x594063b5, 0xa41cd599, 0x591c550e,
-    0xa3f9de4e, 0x58f838a9,
-  0xa3d6f534, 0x58d40e8c, 0xa3b41a50, 0x58afd6bd, 0xa3914da8, 0x588b9140,
-    0xa36e8f41, 0x58673e1b,
-  0xa34bdf20, 0x5842dd54, 0xa3293d4b, 0x581e6ef1, 0xa306a9c8, 0x57f9f2f8,
-    0xa2e4249b, 0x57d5696d,
-  0xa2c1adc9, 0x57b0d256, 0xa29f4559, 0x578c2dba, 0xa27ceb4f, 0x57677b9d,
-    0xa25a9fb1, 0x5742bc06,
-  0xa2386284, 0x571deefa, 0xa21633cd, 0x56f9147e, 0xa1f41392, 0x56d42c99,
-    0xa1d201d7, 0x56af3750,
-  0xa1affea3, 0x568a34a9, 0xa18e09fa, 0x566524aa, 0xa16c23e1, 0x56400758,
-    0xa14a4c5e, 0x561adcb9,
-  0xa1288376, 0x55f5a4d2, 0xa106c92f, 0x55d05faa, 0xa0e51d8c, 0x55ab0d46,
-    0xa0c38095, 0x5585adad,
-  0xa0a1f24d, 0x556040e2, 0xa08072ba, 0x553ac6ee, 0xa05f01e1, 0x55153fd4,
-    0xa03d9fc8, 0x54efab9c,
-  0xa01c4c73, 0x54ca0a4b, 0x9ffb07e7, 0x54a45be6, 0x9fd9d22a, 0x547ea073,
-    0x9fb8ab41, 0x5458d7f9,
-  0x9f979331, 0x5433027d, 0x9f7689ff, 0x540d2005, 0x9f558fb0, 0x53e73097,
-    0x9f34a449, 0x53c13439,
-  0x9f13c7d0, 0x539b2af0, 0x9ef2fa49, 0x537514c2, 0x9ed23bb9, 0x534ef1b5,
-    0x9eb18c26, 0x5328c1d0,
-  0x9e90eb94, 0x53028518, 0x9e705a09, 0x52dc3b92, 0x9e4fd78a, 0x52b5e546,
-    0x9e2f641b, 0x528f8238,
-  0x9e0effc1, 0x5269126e, 0x9deeaa82, 0x524295f0, 0x9dce6463, 0x521c0cc2,
-    0x9dae2d68, 0x51f576ea,
-  0x9d8e0597, 0x51ced46e, 0x9d6decf4, 0x51a82555, 0x9d4de385, 0x518169a5,
-    0x9d2de94d, 0x515aa162,
-  0x9d0dfe54, 0x5133cc94, 0x9cee229c, 0x510ceb40, 0x9cce562c, 0x50e5fd6d,
-    0x9cae9907, 0x50bf031f,
-  0x9c8eeb34, 0x5097fc5e, 0x9c6f4cb6, 0x5070e92f, 0x9c4fbd93, 0x5049c999,
-    0x9c303dcf, 0x50229da1,
-  0x9c10cd70, 0x4ffb654d, 0x9bf16c7a, 0x4fd420a4, 0x9bd21af3, 0x4faccfab,
-    0x9bb2d8de, 0x4f857269,
-  0x9b93a641, 0x4f5e08e3, 0x9b748320, 0x4f369320, 0x9b556f81, 0x4f0f1126,
-    0x9b366b68, 0x4ee782fb,
-  0x9b1776da, 0x4ebfe8a5, 0x9af891db, 0x4e984229, 0x9ad9bc71, 0x4e708f8f,
-    0x9abaf6a1, 0x4e48d0dd,
-  0x9a9c406e, 0x4e210617, 0x9a7d99de, 0x4df92f46, 0x9a5f02f5, 0x4dd14c6e,
-    0x9a407bb9, 0x4da95d96,
-  0x9a22042d, 0x4d8162c4, 0x9a039c57, 0x4d595bfe, 0x99e5443b, 0x4d31494b,
-    0x99c6fbde, 0x4d092ab0,
-  0x99a8c345, 0x4ce10034, 0x998a9a74, 0x4cb8c9dd, 0x996c816f, 0x4c9087b1,
-    0x994e783d, 0x4c6839b7,
-  0x99307ee0, 0x4c3fdff4, 0x9912955f, 0x4c177a6e, 0x98f4bbbc, 0x4bef092d,
-    0x98d6f1fe, 0x4bc68c36,
-  0x98b93828, 0x4b9e0390, 0x989b8e40, 0x4b756f40, 0x987df449, 0x4b4ccf4d,
-    0x98606a49, 0x4b2423be,
-  0x9842f043, 0x4afb6c98, 0x9825863d, 0x4ad2a9e2, 0x98082c3b, 0x4aa9dba2,
-    0x97eae242, 0x4a8101de,
-  0x97cda855, 0x4a581c9e, 0x97b07e7a, 0x4a2f2be6, 0x979364b5, 0x4a062fbd,
-    0x97765b0a, 0x49dd282a,
-  0x9759617f, 0x49b41533, 0x973c7817, 0x498af6df, 0x971f9ed7, 0x4961cd33,
-    0x9702d5c3, 0x49389836,
-  0x96e61ce0, 0x490f57ee, 0x96c97432, 0x48e60c62, 0x96acdbbe, 0x48bcb599,
-    0x96905388, 0x48935397,
-  0x9673db94, 0x4869e665, 0x965773e7, 0x48406e08, 0x963b1c86, 0x4816ea86,
-    0x961ed574, 0x47ed5be6,
-  0x96029eb6, 0x47c3c22f, 0x95e67850, 0x479a1d67, 0x95ca6247, 0x47706d93,
-    0x95ae5c9f, 0x4746b2bc,
-  0x9592675c, 0x471cece7, 0x95768283, 0x46f31c1a, 0x955aae17, 0x46c9405c,
-    0x953eea1e, 0x469f59b4,
-  0x9523369c, 0x46756828, 0x95079394, 0x464b6bbe, 0x94ec010b, 0x4621647d,
-    0x94d07f05, 0x45f7526b,
-  0x94b50d87, 0x45cd358f, 0x9499ac95, 0x45a30df0, 0x947e5c33, 0x4578db93,
-    0x94631c65, 0x454e9e80,
-  0x9447ed2f, 0x452456bd, 0x942cce96, 0x44fa0450, 0x9411c09e, 0x44cfa740,
-    0x93f6c34a, 0x44a53f93,
-  0x93dbd6a0, 0x447acd50, 0x93c0faa3, 0x4450507e, 0x93a62f57, 0x4425c923,
-    0x938b74c1, 0x43fb3746,
-  0x9370cae4, 0x43d09aed, 0x935631c5, 0x43a5f41e, 0x933ba968, 0x437b42e1,
-    0x932131d1, 0x4350873c,
-  0x9306cb04, 0x4325c135, 0x92ec7505, 0x42faf0d4, 0x92d22fd9, 0x42d0161e,
-    0x92b7fb82, 0x42a5311b,
-  0x929dd806, 0x427a41d0, 0x9283c568, 0x424f4845, 0x9269c3ac, 0x42244481,
-    0x924fd2d7, 0x41f93689,
-  0x9235f2ec, 0x41ce1e65, 0x921c23ef, 0x41a2fc1a, 0x920265e4, 0x4177cfb1,
-    0x91e8b8d0, 0x414c992f,
-  0x91cf1cb6, 0x4121589b, 0x91b5919a, 0x40f60dfb, 0x919c1781, 0x40cab958,
-    0x9182ae6d, 0x409f5ab6,
-  0x91695663, 0x4073f21d, 0x91500f67, 0x40487f94, 0x9136d97d, 0x401d0321,
-    0x911db4a9, 0x3ff17cca,
-  0x9104a0ee, 0x3fc5ec98, 0x90eb9e50, 0x3f9a5290, 0x90d2acd4, 0x3f6eaeb8,
-    0x90b9cc7d, 0x3f430119,
-  0x90a0fd4e, 0x3f1749b8, 0x90883f4d, 0x3eeb889c, 0x906f927c, 0x3ebfbdcd,
-    0x9056f6df, 0x3e93e950,
-  0x903e6c7b, 0x3e680b2c, 0x9025f352, 0x3e3c2369, 0x900d8b69, 0x3e10320d,
-    0x8ff534c4, 0x3de4371f,
-  0x8fdcef66, 0x3db832a6, 0x8fc4bb53, 0x3d8c24a8, 0x8fac988f, 0x3d600d2c,
-    0x8f94871d, 0x3d33ec39,
-  0x8f7c8701, 0x3d07c1d6, 0x8f649840, 0x3cdb8e09, 0x8f4cbadb, 0x3caf50da,
-    0x8f34eed8, 0x3c830a50,
-  0x8f1d343a, 0x3c56ba70, 0x8f058b04, 0x3c2a6142, 0x8eedf33b, 0x3bfdfecd,
-    0x8ed66ce1, 0x3bd19318,
-  0x8ebef7fb, 0x3ba51e29, 0x8ea7948c, 0x3b78a007, 0x8e904298, 0x3b4c18ba,
-    0x8e790222, 0x3b1f8848,
-  0x8e61d32e, 0x3af2eeb7, 0x8e4ab5bf, 0x3ac64c0f, 0x8e33a9da, 0x3a99a057,
-    0x8e1caf80, 0x3a6ceb96,
-  0x8e05c6b7, 0x3a402dd2, 0x8deeef82, 0x3a136712, 0x8dd829e4, 0x39e6975e,
-    0x8dc175e0, 0x39b9bebc,
-  0x8daad37b, 0x398cdd32, 0x8d9442b8, 0x395ff2c9, 0x8d7dc399, 0x3932ff87,
-    0x8d675623, 0x39060373,
-  0x8d50fa59, 0x38d8fe93, 0x8d3ab03f, 0x38abf0ef, 0x8d2477d8, 0x387eda8e,
-    0x8d0e5127, 0x3851bb77,
-  0x8cf83c30, 0x382493b0, 0x8ce238f6, 0x37f76341, 0x8ccc477d, 0x37ca2a30,
-    0x8cb667c8, 0x379ce885,
-  0x8ca099da, 0x376f9e46, 0x8c8addb7, 0x37424b7b, 0x8c753362, 0x3714f02a,
-    0x8c5f9ade, 0x36e78c5b,
-  0x8c4a142f, 0x36ba2014, 0x8c349f58, 0x368cab5c, 0x8c1f3c5d, 0x365f2e3b,
-    0x8c09eb40, 0x3631a8b8,
-  0x8bf4ac05, 0x36041ad9, 0x8bdf7eb0, 0x35d684a6, 0x8bca6343, 0x35a8e625,
-    0x8bb559c1, 0x357b3f5d,
-  0x8ba0622f, 0x354d9057, 0x8b8b7c8f, 0x351fd918, 0x8b76a8e4, 0x34f219a8,
-    0x8b61e733, 0x34c4520d,
-  0x8b4d377c, 0x34968250, 0x8b3899c6, 0x3468aa76, 0x8b240e11, 0x343aca87,
-    0x8b0f9462, 0x340ce28b,
-  0x8afb2cbb, 0x33def287, 0x8ae6d720, 0x33b0fa84, 0x8ad29394, 0x3382fa88,
-    0x8abe6219, 0x3354f29b,
-  0x8aaa42b4, 0x3326e2c3, 0x8a963567, 0x32f8cb07, 0x8a823a36, 0x32caab6f,
-    0x8a6e5123, 0x329c8402,
-  0x8a5a7a31, 0x326e54c7, 0x8a46b564, 0x32401dc6, 0x8a3302be, 0x3211df04,
-    0x8a1f6243, 0x31e39889,
-  0x8a0bd3f5, 0x31b54a5e, 0x89f857d8, 0x3186f487, 0x89e4edef, 0x3158970e,
-    0x89d1963c, 0x312a31f8,
-  0x89be50c3, 0x30fbc54d, 0x89ab1d87, 0x30cd5115, 0x8997fc8a, 0x309ed556,
-    0x8984edcf, 0x30705217,
-  0x8971f15a, 0x3041c761, 0x895f072e, 0x30133539, 0x894c2f4c, 0x2fe49ba7,
-    0x893969b9, 0x2fb5fab2,
-  0x8926b677, 0x2f875262, 0x89141589, 0x2f58a2be, 0x890186f2, 0x2f29ebcc,
-    0x88ef0ab4, 0x2efb2d95,
-  0x88dca0d3, 0x2ecc681e, 0x88ca4951, 0x2e9d9b70, 0x88b80432, 0x2e6ec792,
-    0x88a5d177, 0x2e3fec8b,
-  0x8893b125, 0x2e110a62, 0x8881a33d, 0x2de2211e, 0x886fa7c2, 0x2db330c7,
-    0x885dbeb8, 0x2d843964,
-  0x884be821, 0x2d553afc, 0x883a23ff, 0x2d263596, 0x88287256, 0x2cf72939,
-    0x8816d327, 0x2cc815ee,
-  0x88054677, 0x2c98fbba, 0x87f3cc48, 0x2c69daa6, 0x87e2649b, 0x2c3ab2b9,
-    0x87d10f75, 0x2c0b83fa,
-  0x87bfccd7, 0x2bdc4e6f, 0x87ae9cc5, 0x2bad1221, 0x879d7f41, 0x2b7dcf17,
-    0x878c744d, 0x2b4e8558,
-  0x877b7bec, 0x2b1f34eb, 0x876a9621, 0x2aefddd8, 0x8759c2ef, 0x2ac08026,
-    0x87490258, 0x2a911bdc,
-  0x8738545e, 0x2a61b101, 0x8727b905, 0x2a323f9e, 0x8717304e, 0x2a02c7b8,
-    0x8706ba3d, 0x29d34958,
-  0x86f656d3, 0x29a3c485, 0x86e60614, 0x29743946, 0x86d5c802, 0x2944a7a2,
-    0x86c59c9f, 0x29150fa1,
-  0x86b583ee, 0x28e5714b, 0x86a57df2, 0x28b5cca5, 0x86958aac, 0x288621b9,
-    0x8685aa20, 0x2856708d,
-  0x8675dc4f, 0x2826b928, 0x8666213c, 0x27f6fb92, 0x865678eb, 0x27c737d3,
-    0x8646e35c, 0x27976df1,
-  0x86376092, 0x27679df4, 0x8627f091, 0x2737c7e3, 0x86189359, 0x2707ebc7,
-    0x860948ef, 0x26d809a5,
-  0x85fa1153, 0x26a82186, 0x85eaec88, 0x26783370, 0x85dbda91, 0x26483f6c,
-    0x85ccdb70, 0x26184581,
-  0x85bdef28, 0x25e845b6, 0x85af15b9, 0x25b84012, 0x85a04f28, 0x2588349d,
-    0x85919b76, 0x2558235f,
-  0x8582faa5, 0x25280c5e, 0x85746cb8, 0x24f7efa2, 0x8565f1b0, 0x24c7cd33,
-    0x85578991, 0x2497a517,
-  0x8549345c, 0x24677758, 0x853af214, 0x243743fa, 0x852cc2bb, 0x24070b08,
-    0x851ea652, 0x23d6cc87,
-  0x85109cdd, 0x23a6887f, 0x8502a65c, 0x23763ef7, 0x84f4c2d4, 0x2345eff8,
-    0x84e6f244, 0x23159b88,
-  0x84d934b1, 0x22e541af, 0x84cb8a1b, 0x22b4e274, 0x84bdf286, 0x22847de0,
-    0x84b06df2, 0x225413f8,
-  0x84a2fc62, 0x2223a4c5, 0x84959dd9, 0x21f3304f, 0x84885258, 0x21c2b69c,
-    0x847b19e1, 0x219237b5,
-  0x846df477, 0x2161b3a0, 0x8460e21a, 0x21312a65, 0x8453e2cf, 0x21009c0c,
-    0x8446f695, 0x20d0089c,
-  0x843a1d70, 0x209f701c, 0x842d5762, 0x206ed295, 0x8420a46c, 0x203e300d,
-    0x84140490, 0x200d888d,
-  0x840777d0, 0x1fdcdc1b, 0x83fafe2e, 0x1fac2abf, 0x83ee97ad, 0x1f7b7481,
-    0x83e2444d, 0x1f4ab968,
-  0x83d60412, 0x1f19f97b, 0x83c9d6fc, 0x1ee934c3, 0x83bdbd0e, 0x1eb86b46,
-    0x83b1b649, 0x1e879d0d,
-  0x83a5c2b0, 0x1e56ca1e, 0x8399e244, 0x1e25f282, 0x838e1507, 0x1df5163f,
-    0x83825afb, 0x1dc4355e,
-  0x8376b422, 0x1d934fe5, 0x836b207d, 0x1d6265dd, 0x835fa00f, 0x1d31774d,
-    0x835432d8, 0x1d00843d,
-  0x8348d8dc, 0x1ccf8cb3, 0x833d921b, 0x1c9e90b8, 0x83325e97, 0x1c6d9053,
-    0x83273e52, 0x1c3c8b8c,
-  0x831c314e, 0x1c0b826a, 0x8311378d, 0x1bda74f6, 0x83065110, 0x1ba96335,
-    0x82fb7dd8, 0x1b784d30,
-  0x82f0bde8, 0x1b4732ef, 0x82e61141, 0x1b161479, 0x82db77e5, 0x1ae4f1d6,
-    0x82d0f1d5, 0x1ab3cb0d,
-  0x82c67f14, 0x1a82a026, 0x82bc1fa2, 0x1a517128, 0x82b1d381, 0x1a203e1b,
-    0x82a79ab3, 0x19ef0707,
-  0x829d753a, 0x19bdcbf3, 0x82936317, 0x198c8ce7, 0x8289644b, 0x195b49ea,
-    0x827f78d8, 0x192a0304,
-  0x8275a0c0, 0x18f8b83c, 0x826bdc04, 0x18c7699b, 0x82622aa6, 0x18961728,
-    0x82588ca7, 0x1864c0ea,
-  0x824f0208, 0x183366e9, 0x82458acc, 0x1802092c, 0x823c26f3, 0x17d0a7bc,
-    0x8232d67f, 0x179f429f,
-  0x82299971, 0x176dd9de, 0x82206fcc, 0x173c6d80, 0x82175990, 0x170afd8d,
-    0x820e56be, 0x16d98a0c,
-  0x82056758, 0x16a81305, 0x81fc8b60, 0x1676987f, 0x81f3c2d7, 0x16451a83,
-    0x81eb0dbe, 0x16139918,
-  0x81e26c16, 0x15e21445, 0x81d9dde1, 0x15b08c12, 0x81d16321, 0x157f0086,
-    0x81c8fbd6, 0x154d71aa,
-  0x81c0a801, 0x151bdf86, 0x81b867a5, 0x14ea4a1f, 0x81b03ac2, 0x14b8b17f,
-    0x81a82159, 0x148715ae,
-  0x81a01b6d, 0x145576b1, 0x819828fd, 0x1423d492, 0x81904a0c, 0x13f22f58,
-    0x81887e9a, 0x13c0870a,
-  0x8180c6a9, 0x138edbb1, 0x8179223a, 0x135d2d53, 0x8171914e, 0x132b7bf9,
-    0x816a13e6, 0x12f9c7aa,
-  0x8162aa04, 0x12c8106f, 0x815b53a8, 0x1296564d, 0x815410d4, 0x1264994e,
-    0x814ce188, 0x1232d979,
-  0x8145c5c7, 0x120116d5, 0x813ebd90, 0x11cf516a, 0x8137c8e6, 0x119d8941,
-    0x8130e7c9, 0x116bbe60,
-  0x812a1a3a, 0x1139f0cf, 0x8123603a, 0x11082096, 0x811cb9ca, 0x10d64dbd,
-    0x811626ec, 0x10a4784b,
-  0x810fa7a0, 0x1072a048, 0x81093be8, 0x1040c5bb, 0x8102e3c4, 0x100ee8ad,
-    0x80fc9f35, 0xfdd0926,
-  0x80f66e3c, 0xfab272b, 0x80f050db, 0xf7942c7, 0x80ea4712, 0xf475bff,
-    0x80e450e2, 0xf1572dc,
-  0x80de6e4c, 0xee38766, 0x80d89f51, 0xeb199a4, 0x80d2e3f2, 0xe7fa99e,
-    0x80cd3c2f, 0xe4db75b,
-  0x80c7a80a, 0xe1bc2e4, 0x80c22784, 0xde9cc40, 0x80bcba9d, 0xdb7d376,
-    0x80b76156, 0xd85d88f,
-  0x80b21baf, 0xd53db92, 0x80ace9ab, 0xd21dc87, 0x80a7cb49, 0xcefdb76,
-    0x80a2c08b, 0xcbdd865,
-  0x809dc971, 0xc8bd35e, 0x8098e5fb, 0xc59cc68, 0x8094162c, 0xc27c389,
-    0x808f5a02, 0xbf5b8cb,
-  0x808ab180, 0xbc3ac35, 0x80861ca6, 0xb919dcf, 0x80819b74, 0xb5f8d9f,
-    0x807d2dec, 0xb2d7baf,
-  0x8078d40d, 0xafb6805, 0x80748dd9, 0xac952aa, 0x80705b50, 0xa973ba5,
-    0x806c3c74, 0xa6522fe,
-  0x80683143, 0xa3308bd, 0x806439c0, 0xa00ece8, 0x806055eb, 0x9cecf89,
-    0x805c85c4, 0x99cb0a7,
-  0x8058c94c, 0x96a9049, 0x80552084, 0x9386e78, 0x80518b6b, 0x9064b3a,
-    0x804e0a04, 0x8d42699,
-  0x804a9c4d, 0x8a2009a, 0x80474248, 0x86fd947, 0x8043fbf6, 0x83db0a7,
-    0x8040c956, 0x80b86c2,
-  0x803daa6a, 0x7d95b9e, 0x803a9f31, 0x7a72f45, 0x8037a7ac, 0x77501be,
-    0x8034c3dd, 0x742d311,
-  0x8031f3c2, 0x710a345, 0x802f375d, 0x6de7262, 0x802c8ead, 0x6ac406f,
-    0x8029f9b4, 0x67a0d76,
-  0x80277872, 0x647d97c, 0x80250ae7, 0x615a48b, 0x8022b114, 0x5e36ea9,
-    0x80206af8, 0x5b137df,
-  0x801e3895, 0x57f0035, 0x801c19ea, 0x54cc7b1, 0x801a0ef8, 0x51a8e5c,
-    0x801817bf, 0x4e8543e,
-  0x80163440, 0x4b6195d, 0x8014647b, 0x483ddc3, 0x8012a86f, 0x451a177,
-    0x8011001f, 0x41f6480,
-  0x800f6b88, 0x3ed26e6, 0x800deaad, 0x3bae8b2, 0x800c7d8c, 0x388a9ea,
-    0x800b2427, 0x3566a96,
-  0x8009de7e, 0x3242abf, 0x8008ac90, 0x2f1ea6c, 0x80078e5e, 0x2bfa9a4,
-    0x800683e8, 0x28d6870,
-  0x80058d2f, 0x25b26d7, 0x8004aa32, 0x228e4e2, 0x8003daf1, 0x1f6a297,
-    0x80031f6d, 0x1c45ffe,
-  0x800277a6, 0x1921d20, 0x8001e39b, 0x15fda03, 0x8001634e, 0x12d96b1,
-    0x8000f6bd, 0xfb5330,
-  0x80009dea, 0xc90f88, 0x800058d4, 0x96cbc1, 0x8000277a, 0x6487e3,
-    0x800009df, 0x3243f5,
-  0x80000000, 0x0, 0x800009df, 0xffcdbc0b, 0x8000277a, 0xff9b781d, 0x800058d4,
-    0xff69343f,
-  0x80009dea, 0xff36f078, 0x8000f6bd, 0xff04acd0, 0x8001634e, 0xfed2694f,
-    0x8001e39b, 0xfea025fd,
-  0x800277a6, 0xfe6de2e0, 0x80031f6d, 0xfe3ba002, 0x8003daf1, 0xfe095d69,
-    0x8004aa32, 0xfdd71b1e,
-  0x80058d2f, 0xfda4d929, 0x800683e8, 0xfd729790, 0x80078e5e, 0xfd40565c,
-    0x8008ac90, 0xfd0e1594,
-  0x8009de7e, 0xfcdbd541, 0x800b2427, 0xfca9956a, 0x800c7d8c, 0xfc775616,
-    0x800deaad, 0xfc45174e,
-  0x800f6b88, 0xfc12d91a, 0x8011001f, 0xfbe09b80, 0x8012a86f, 0xfbae5e89,
-    0x8014647b, 0xfb7c223d,
-  0x80163440, 0xfb49e6a3, 0x801817bf, 0xfb17abc2, 0x801a0ef8, 0xfae571a4,
-    0x801c19ea, 0xfab3384f,
-  0x801e3895, 0xfa80ffcb, 0x80206af8, 0xfa4ec821, 0x8022b114, 0xfa1c9157,
-    0x80250ae7, 0xf9ea5b75,
-  0x80277872, 0xf9b82684, 0x8029f9b4, 0xf985f28a, 0x802c8ead, 0xf953bf91,
-    0x802f375d, 0xf9218d9e,
-  0x8031f3c2, 0xf8ef5cbb, 0x8034c3dd, 0xf8bd2cef, 0x8037a7ac, 0xf88afe42,
-    0x803a9f31, 0xf858d0bb,
-  0x803daa6a, 0xf826a462, 0x8040c956, 0xf7f4793e, 0x8043fbf6, 0xf7c24f59,
-    0x80474248, 0xf79026b9,
-  0x804a9c4d, 0xf75dff66, 0x804e0a04, 0xf72bd967, 0x80518b6b, 0xf6f9b4c6,
-    0x80552084, 0xf6c79188,
-  0x8058c94c, 0xf6956fb7, 0x805c85c4, 0xf6634f59, 0x806055eb, 0xf6313077,
-    0x806439c0, 0xf5ff1318,
-  0x80683143, 0xf5ccf743, 0x806c3c74, 0xf59add02, 0x80705b50, 0xf568c45b,
-    0x80748dd9, 0xf536ad56,
-  0x8078d40d, 0xf50497fb, 0x807d2dec, 0xf4d28451, 0x80819b74, 0xf4a07261,
-    0x80861ca6, 0xf46e6231,
-  0x808ab180, 0xf43c53cb, 0x808f5a02, 0xf40a4735, 0x8094162c, 0xf3d83c77,
-    0x8098e5fb, 0xf3a63398,
-  0x809dc971, 0xf3742ca2, 0x80a2c08b, 0xf342279b, 0x80a7cb49, 0xf310248a,
-    0x80ace9ab, 0xf2de2379,
-  0x80b21baf, 0xf2ac246e, 0x80b76156, 0xf27a2771, 0x80bcba9d, 0xf2482c8a,
-    0x80c22784, 0xf21633c0,
-  0x80c7a80a, 0xf1e43d1c, 0x80cd3c2f, 0xf1b248a5, 0x80d2e3f2, 0xf1805662,
-    0x80d89f51, 0xf14e665c,
-  0x80de6e4c, 0xf11c789a, 0x80e450e2, 0xf0ea8d24, 0x80ea4712, 0xf0b8a401,
-    0x80f050db, 0xf086bd39,
-  0x80f66e3c, 0xf054d8d5, 0x80fc9f35, 0xf022f6da, 0x8102e3c4, 0xeff11753,
-    0x81093be8, 0xefbf3a45,
-  0x810fa7a0, 0xef8d5fb8, 0x811626ec, 0xef5b87b5, 0x811cb9ca, 0xef29b243,
-    0x8123603a, 0xeef7df6a,
-  0x812a1a3a, 0xeec60f31, 0x8130e7c9, 0xee9441a0, 0x8137c8e6, 0xee6276bf,
-    0x813ebd90, 0xee30ae96,
-  0x8145c5c7, 0xedfee92b, 0x814ce188, 0xedcd2687, 0x815410d4, 0xed9b66b2,
-    0x815b53a8, 0xed69a9b3,
-  0x8162aa04, 0xed37ef91, 0x816a13e6, 0xed063856, 0x8171914e, 0xecd48407,
-    0x8179223a, 0xeca2d2ad,
-  0x8180c6a9, 0xec71244f, 0x81887e9a, 0xec3f78f6, 0x81904a0c, 0xec0dd0a8,
-    0x819828fd, 0xebdc2b6e,
-  0x81a01b6d, 0xebaa894f, 0x81a82159, 0xeb78ea52, 0x81b03ac2, 0xeb474e81,
-    0x81b867a5, 0xeb15b5e1,
-  0x81c0a801, 0xeae4207a, 0x81c8fbd6, 0xeab28e56, 0x81d16321, 0xea80ff7a,
-    0x81d9dde1, 0xea4f73ee,
-  0x81e26c16, 0xea1debbb, 0x81eb0dbe, 0xe9ec66e8, 0x81f3c2d7, 0xe9bae57d,
-    0x81fc8b60, 0xe9896781,
-  0x82056758, 0xe957ecfb, 0x820e56be, 0xe92675f4, 0x82175990, 0xe8f50273,
-    0x82206fcc, 0xe8c39280,
-  0x82299971, 0xe8922622, 0x8232d67f, 0xe860bd61, 0x823c26f3, 0xe82f5844,
-    0x82458acc, 0xe7fdf6d4,
-  0x824f0208, 0xe7cc9917, 0x82588ca7, 0xe79b3f16, 0x82622aa6, 0xe769e8d8,
-    0x826bdc04, 0xe7389665,
-  0x8275a0c0, 0xe70747c4, 0x827f78d8, 0xe6d5fcfc, 0x8289644b, 0xe6a4b616,
-    0x82936317, 0xe6737319,
-  0x829d753a, 0xe642340d, 0x82a79ab3, 0xe610f8f9, 0x82b1d381, 0xe5dfc1e5,
-    0x82bc1fa2, 0xe5ae8ed8,
-  0x82c67f14, 0xe57d5fda, 0x82d0f1d5, 0xe54c34f3, 0x82db77e5, 0xe51b0e2a,
-    0x82e61141, 0xe4e9eb87,
-  0x82f0bde8, 0xe4b8cd11, 0x82fb7dd8, 0xe487b2d0, 0x83065110, 0xe4569ccb,
-    0x8311378d, 0xe4258b0a,
-  0x831c314e, 0xe3f47d96, 0x83273e52, 0xe3c37474, 0x83325e97, 0xe3926fad,
-    0x833d921b, 0xe3616f48,
-  0x8348d8dc, 0xe330734d, 0x835432d8, 0xe2ff7bc3, 0x835fa00f, 0xe2ce88b3,
-    0x836b207d, 0xe29d9a23,
-  0x8376b422, 0xe26cb01b, 0x83825afb, 0xe23bcaa2, 0x838e1507, 0xe20ae9c1,
-    0x8399e244, 0xe1da0d7e,
-  0x83a5c2b0, 0xe1a935e2, 0x83b1b649, 0xe17862f3, 0x83bdbd0e, 0xe14794ba,
-    0x83c9d6fc, 0xe116cb3d,
-  0x83d60412, 0xe0e60685, 0x83e2444d, 0xe0b54698, 0x83ee97ad, 0xe0848b7f,
-    0x83fafe2e, 0xe053d541,
-  0x840777d0, 0xe02323e5, 0x84140490, 0xdff27773, 0x8420a46c, 0xdfc1cff3,
-    0x842d5762, 0xdf912d6b,
-  0x843a1d70, 0xdf608fe4, 0x8446f695, 0xdf2ff764, 0x8453e2cf, 0xdeff63f4,
-    0x8460e21a, 0xdeced59b,
-  0x846df477, 0xde9e4c60, 0x847b19e1, 0xde6dc84b, 0x84885258, 0xde3d4964,
-    0x84959dd9, 0xde0ccfb1,
-  0x84a2fc62, 0xdddc5b3b, 0x84b06df2, 0xddabec08, 0x84bdf286, 0xdd7b8220,
-    0x84cb8a1b, 0xdd4b1d8c,
-  0x84d934b1, 0xdd1abe51, 0x84e6f244, 0xdcea6478, 0x84f4c2d4, 0xdcba1008,
-    0x8502a65c, 0xdc89c109,
-  0x85109cdd, 0xdc597781, 0x851ea652, 0xdc293379, 0x852cc2bb, 0xdbf8f4f8,
-    0x853af214, 0xdbc8bc06,
-  0x8549345c, 0xdb9888a8, 0x85578991, 0xdb685ae9, 0x8565f1b0, 0xdb3832cd,
-    0x85746cb8, 0xdb08105e,
-  0x8582faa5, 0xdad7f3a2, 0x85919b76, 0xdaa7dca1, 0x85a04f28, 0xda77cb63,
-    0x85af15b9, 0xda47bfee,
-  0x85bdef28, 0xda17ba4a, 0x85ccdb70, 0xd9e7ba7f, 0x85dbda91, 0xd9b7c094,
-    0x85eaec88, 0xd987cc90,
-  0x85fa1153, 0xd957de7a, 0x860948ef, 0xd927f65b, 0x86189359, 0xd8f81439,
-    0x8627f091, 0xd8c8381d,
-  0x86376092, 0xd898620c, 0x8646e35c, 0xd868920f, 0x865678eb, 0xd838c82d,
-    0x8666213c, 0xd809046e,
-  0x8675dc4f, 0xd7d946d8, 0x8685aa20, 0xd7a98f73, 0x86958aac, 0xd779de47,
-    0x86a57df2, 0xd74a335b,
-  0x86b583ee, 0xd71a8eb5, 0x86c59c9f, 0xd6eaf05f, 0x86d5c802, 0xd6bb585e,
-    0x86e60614, 0xd68bc6ba,
-  0x86f656d3, 0xd65c3b7b, 0x8706ba3d, 0xd62cb6a8, 0x8717304e, 0xd5fd3848,
-    0x8727b905, 0xd5cdc062,
-  0x8738545e, 0xd59e4eff, 0x87490258, 0xd56ee424, 0x8759c2ef, 0xd53f7fda,
-    0x876a9621, 0xd5102228,
-  0x877b7bec, 0xd4e0cb15, 0x878c744d, 0xd4b17aa8, 0x879d7f41, 0xd48230e9,
-    0x87ae9cc5, 0xd452eddf,
-  0x87bfccd7, 0xd423b191, 0x87d10f75, 0xd3f47c06, 0x87e2649b, 0xd3c54d47,
-    0x87f3cc48, 0xd396255a,
-  0x88054677, 0xd3670446, 0x8816d327, 0xd337ea12, 0x88287256, 0xd308d6c7,
-    0x883a23ff, 0xd2d9ca6a,
-  0x884be821, 0xd2aac504, 0x885dbeb8, 0xd27bc69c, 0x886fa7c2, 0xd24ccf39,
-    0x8881a33d, 0xd21ddee2,
-  0x8893b125, 0xd1eef59e, 0x88a5d177, 0xd1c01375, 0x88b80432, 0xd191386e,
-    0x88ca4951, 0xd1626490,
-  0x88dca0d3, 0xd13397e2, 0x88ef0ab4, 0xd104d26b, 0x890186f2, 0xd0d61434,
-    0x89141589, 0xd0a75d42,
-  0x8926b677, 0xd078ad9e, 0x893969b9, 0xd04a054e, 0x894c2f4c, 0xd01b6459,
-    0x895f072e, 0xcfeccac7,
-  0x8971f15a, 0xcfbe389f, 0x8984edcf, 0xcf8fade9, 0x8997fc8a, 0xcf612aaa,
-    0x89ab1d87, 0xcf32aeeb,
-  0x89be50c3, 0xcf043ab3, 0x89d1963c, 0xced5ce08, 0x89e4edef, 0xcea768f2,
-    0x89f857d8, 0xce790b79,
-  0x8a0bd3f5, 0xce4ab5a2, 0x8a1f6243, 0xce1c6777, 0x8a3302be, 0xcdee20fc,
-    0x8a46b564, 0xcdbfe23a,
-  0x8a5a7a31, 0xcd91ab39, 0x8a6e5123, 0xcd637bfe, 0x8a823a36, 0xcd355491,
-    0x8a963567, 0xcd0734f9,
-  0x8aaa42b4, 0xccd91d3d, 0x8abe6219, 0xccab0d65, 0x8ad29394, 0xcc7d0578,
-    0x8ae6d720, 0xcc4f057c,
-  0x8afb2cbb, 0xcc210d79, 0x8b0f9462, 0xcbf31d75, 0x8b240e11, 0xcbc53579,
-    0x8b3899c6, 0xcb97558a,
-  0x8b4d377c, 0xcb697db0, 0x8b61e733, 0xcb3badf3, 0x8b76a8e4, 0xcb0de658,
-    0x8b8b7c8f, 0xcae026e8,
-  0x8ba0622f, 0xcab26fa9, 0x8bb559c1, 0xca84c0a3, 0x8bca6343, 0xca5719db,
-    0x8bdf7eb0, 0xca297b5a,
-  0x8bf4ac05, 0xc9fbe527, 0x8c09eb40, 0xc9ce5748, 0x8c1f3c5d, 0xc9a0d1c5,
-    0x8c349f58, 0xc97354a4,
-  0x8c4a142f, 0xc945dfec, 0x8c5f9ade, 0xc91873a5, 0x8c753362, 0xc8eb0fd6,
-    0x8c8addb7, 0xc8bdb485,
-  0x8ca099da, 0xc89061ba, 0x8cb667c8, 0xc863177b, 0x8ccc477d, 0xc835d5d0,
-    0x8ce238f6, 0xc8089cbf,
-  0x8cf83c30, 0xc7db6c50, 0x8d0e5127, 0xc7ae4489, 0x8d2477d8, 0xc7812572,
-    0x8d3ab03f, 0xc7540f11,
-  0x8d50fa59, 0xc727016d, 0x8d675623, 0xc6f9fc8d, 0x8d7dc399, 0xc6cd0079,
-    0x8d9442b8, 0xc6a00d37,
-  0x8daad37b, 0xc67322ce, 0x8dc175e0, 0xc6464144, 0x8dd829e4, 0xc61968a2,
-    0x8deeef82, 0xc5ec98ee,
-  0x8e05c6b7, 0xc5bfd22e, 0x8e1caf80, 0xc593146a, 0x8e33a9da, 0xc5665fa9,
-    0x8e4ab5bf, 0xc539b3f1,
-  0x8e61d32e, 0xc50d1149, 0x8e790222, 0xc4e077b8, 0x8e904298, 0xc4b3e746,
-    0x8ea7948c, 0xc4875ff9,
-  0x8ebef7fb, 0xc45ae1d7, 0x8ed66ce1, 0xc42e6ce8, 0x8eedf33b, 0xc4020133,
-    0x8f058b04, 0xc3d59ebe,
-  0x8f1d343a, 0xc3a94590, 0x8f34eed8, 0xc37cf5b0, 0x8f4cbadb, 0xc350af26,
-    0x8f649840, 0xc32471f7,
-  0x8f7c8701, 0xc2f83e2a, 0x8f94871d, 0xc2cc13c7, 0x8fac988f, 0xc29ff2d4,
-    0x8fc4bb53, 0xc273db58,
-  0x8fdcef66, 0xc247cd5a, 0x8ff534c4, 0xc21bc8e1, 0x900d8b69, 0xc1efcdf3,
-    0x9025f352, 0xc1c3dc97,
-  0x903e6c7b, 0xc197f4d4, 0x9056f6df, 0xc16c16b0, 0x906f927c, 0xc1404233,
-    0x90883f4d, 0xc1147764,
-  0x90a0fd4e, 0xc0e8b648, 0x90b9cc7d, 0xc0bcfee7, 0x90d2acd4, 0xc0915148,
-    0x90eb9e50, 0xc065ad70,
-  0x9104a0ee, 0xc03a1368, 0x911db4a9, 0xc00e8336, 0x9136d97d, 0xbfe2fcdf,
-    0x91500f67, 0xbfb7806c,
-  0x91695663, 0xbf8c0de3, 0x9182ae6d, 0xbf60a54a, 0x919c1781, 0xbf3546a8,
-    0x91b5919a, 0xbf09f205,
-  0x91cf1cb6, 0xbedea765, 0x91e8b8d0, 0xbeb366d1, 0x920265e4, 0xbe88304f,
-    0x921c23ef, 0xbe5d03e6,
-  0x9235f2ec, 0xbe31e19b, 0x924fd2d7, 0xbe06c977, 0x9269c3ac, 0xbddbbb7f,
-    0x9283c568, 0xbdb0b7bb,
-  0x929dd806, 0xbd85be30, 0x92b7fb82, 0xbd5acee5, 0x92d22fd9, 0xbd2fe9e2,
-    0x92ec7505, 0xbd050f2c,
-  0x9306cb04, 0xbcda3ecb, 0x932131d1, 0xbcaf78c4, 0x933ba968, 0xbc84bd1f,
-    0x935631c5, 0xbc5a0be2,
-  0x9370cae4, 0xbc2f6513, 0x938b74c1, 0xbc04c8ba, 0x93a62f57, 0xbbda36dd,
-    0x93c0faa3, 0xbbafaf82,
-  0x93dbd6a0, 0xbb8532b0, 0x93f6c34a, 0xbb5ac06d, 0x9411c09e, 0xbb3058c0,
-    0x942cce96, 0xbb05fbb0,
-  0x9447ed2f, 0xbadba943, 0x94631c65, 0xbab16180, 0x947e5c33, 0xba87246d,
-    0x9499ac95, 0xba5cf210,
-  0x94b50d87, 0xba32ca71, 0x94d07f05, 0xba08ad95, 0x94ec010b, 0xb9de9b83,
-    0x95079394, 0xb9b49442,
-  0x9523369c, 0xb98a97d8, 0x953eea1e, 0xb960a64c, 0x955aae17, 0xb936bfa4,
-    0x95768283, 0xb90ce3e6,
-  0x9592675c, 0xb8e31319, 0x95ae5c9f, 0xb8b94d44, 0x95ca6247, 0xb88f926d,
-    0x95e67850, 0xb865e299,
-  0x96029eb6, 0xb83c3dd1, 0x961ed574, 0xb812a41a, 0x963b1c86, 0xb7e9157a,
-    0x965773e7, 0xb7bf91f8,
-  0x9673db94, 0xb796199b, 0x96905388, 0xb76cac69, 0x96acdbbe, 0xb7434a67,
-    0x96c97432, 0xb719f39e,
-  0x96e61ce0, 0xb6f0a812, 0x9702d5c3, 0xb6c767ca, 0x971f9ed7, 0xb69e32cd,
-    0x973c7817, 0xb6750921,
-  0x9759617f, 0xb64beacd, 0x97765b0a, 0xb622d7d6, 0x979364b5, 0xb5f9d043,
-    0x97b07e7a, 0xb5d0d41a,
-  0x97cda855, 0xb5a7e362, 0x97eae242, 0xb57efe22, 0x98082c3b, 0xb556245e,
-    0x9825863d, 0xb52d561e,
-  0x9842f043, 0xb5049368, 0x98606a49, 0xb4dbdc42, 0x987df449, 0xb4b330b3,
-    0x989b8e40, 0xb48a90c0,
-  0x98b93828, 0xb461fc70, 0x98d6f1fe, 0xb43973ca, 0x98f4bbbc, 0xb410f6d3,
-    0x9912955f, 0xb3e88592,
-  0x99307ee0, 0xb3c0200c, 0x994e783d, 0xb397c649, 0x996c816f, 0xb36f784f,
-    0x998a9a74, 0xb3473623,
-  0x99a8c345, 0xb31effcc, 0x99c6fbde, 0xb2f6d550, 0x99e5443b, 0xb2ceb6b5,
-    0x9a039c57, 0xb2a6a402,
-  0x9a22042d, 0xb27e9d3c, 0x9a407bb9, 0xb256a26a, 0x9a5f02f5, 0xb22eb392,
-    0x9a7d99de, 0xb206d0ba,
-  0x9a9c406e, 0xb1def9e9, 0x9abaf6a1, 0xb1b72f23, 0x9ad9bc71, 0xb18f7071,
-    0x9af891db, 0xb167bdd7,
-  0x9b1776da, 0xb140175b, 0x9b366b68, 0xb1187d05, 0x9b556f81, 0xb0f0eeda,
-    0x9b748320, 0xb0c96ce0,
-  0x9b93a641, 0xb0a1f71d, 0x9bb2d8de, 0xb07a8d97, 0x9bd21af3, 0xb0533055,
-    0x9bf16c7a, 0xb02bdf5c,
-  0x9c10cd70, 0xb0049ab3, 0x9c303dcf, 0xafdd625f, 0x9c4fbd93, 0xafb63667,
-    0x9c6f4cb6, 0xaf8f16d1,
-  0x9c8eeb34, 0xaf6803a2, 0x9cae9907, 0xaf40fce1, 0x9cce562c, 0xaf1a0293,
-    0x9cee229c, 0xaef314c0,
-  0x9d0dfe54, 0xaecc336c, 0x9d2de94d, 0xaea55e9e, 0x9d4de385, 0xae7e965b,
-    0x9d6decf4, 0xae57daab,
-  0x9d8e0597, 0xae312b92, 0x9dae2d68, 0xae0a8916, 0x9dce6463, 0xade3f33e,
-    0x9deeaa82, 0xadbd6a10,
-  0x9e0effc1, 0xad96ed92, 0x9e2f641b, 0xad707dc8, 0x9e4fd78a, 0xad4a1aba,
-    0x9e705a09, 0xad23c46e,
-  0x9e90eb94, 0xacfd7ae8, 0x9eb18c26, 0xacd73e30, 0x9ed23bb9, 0xacb10e4b,
-    0x9ef2fa49, 0xac8aeb3e,
-  0x9f13c7d0, 0xac64d510, 0x9f34a449, 0xac3ecbc7, 0x9f558fb0, 0xac18cf69,
-    0x9f7689ff, 0xabf2dffb,
-  0x9f979331, 0xabccfd83, 0x9fb8ab41, 0xaba72807, 0x9fd9d22a, 0xab815f8d,
-    0x9ffb07e7, 0xab5ba41a,
-  0xa01c4c73, 0xab35f5b5, 0xa03d9fc8, 0xab105464, 0xa05f01e1, 0xaaeac02c,
-    0xa08072ba, 0xaac53912,
-  0xa0a1f24d, 0xaa9fbf1e, 0xa0c38095, 0xaa7a5253, 0xa0e51d8c, 0xaa54f2ba,
-    0xa106c92f, 0xaa2fa056,
-  0xa1288376, 0xaa0a5b2e, 0xa14a4c5e, 0xa9e52347, 0xa16c23e1, 0xa9bff8a8,
-    0xa18e09fa, 0xa99adb56,
-  0xa1affea3, 0xa975cb57, 0xa1d201d7, 0xa950c8b0, 0xa1f41392, 0xa92bd367,
-    0xa21633cd, 0xa906eb82,
-  0xa2386284, 0xa8e21106, 0xa25a9fb1, 0xa8bd43fa, 0xa27ceb4f, 0xa8988463,
-    0xa29f4559, 0xa873d246,
-  0xa2c1adc9, 0xa84f2daa, 0xa2e4249b, 0xa82a9693, 0xa306a9c8, 0xa8060d08,
-    0xa3293d4b, 0xa7e1910f,
-  0xa34bdf20, 0xa7bd22ac, 0xa36e8f41, 0xa798c1e5, 0xa3914da8, 0xa7746ec0,
-    0xa3b41a50, 0xa7502943,
-  0xa3d6f534, 0xa72bf174, 0xa3f9de4e, 0xa707c757, 0xa41cd599, 0xa6e3aaf2,
-    0xa43fdb10, 0xa6bf9c4b,
-  0xa462eeac, 0xa69b9b68, 0xa486106a, 0xa677a84e, 0xa4a94043, 0xa653c303,
-    0xa4cc7e32, 0xa62feb8b,
-  0xa4efca31, 0xa60c21ee, 0xa513243b, 0xa5e8662f, 0xa5368c4b, 0xa5c4b855,
-    0xa55a025b, 0xa5a11866,
-  0xa57d8666, 0xa57d8666, 0xa5a11866, 0xa55a025b, 0xa5c4b855, 0xa5368c4b,
-    0xa5e8662f, 0xa513243b,
-  0xa60c21ee, 0xa4efca31, 0xa62feb8b, 0xa4cc7e32, 0xa653c303, 0xa4a94043,
-    0xa677a84e, 0xa486106a,
-  0xa69b9b68, 0xa462eeac, 0xa6bf9c4b, 0xa43fdb10, 0xa6e3aaf2, 0xa41cd599,
-    0xa707c757, 0xa3f9de4e,
-  0xa72bf174, 0xa3d6f534, 0xa7502943, 0xa3b41a50, 0xa7746ec0, 0xa3914da8,
-    0xa798c1e5, 0xa36e8f41,
-  0xa7bd22ac, 0xa34bdf20, 0xa7e1910f, 0xa3293d4b, 0xa8060d08, 0xa306a9c8,
-    0xa82a9693, 0xa2e4249b,
-  0xa84f2daa, 0xa2c1adc9, 0xa873d246, 0xa29f4559, 0xa8988463, 0xa27ceb4f,
-    0xa8bd43fa, 0xa25a9fb1,
-  0xa8e21106, 0xa2386284, 0xa906eb82, 0xa21633cd, 0xa92bd367, 0xa1f41392,
-    0xa950c8b0, 0xa1d201d7,
-  0xa975cb57, 0xa1affea3, 0xa99adb56, 0xa18e09fa, 0xa9bff8a8, 0xa16c23e1,
-    0xa9e52347, 0xa14a4c5e,
-  0xaa0a5b2e, 0xa1288376, 0xaa2fa056, 0xa106c92f, 0xaa54f2ba, 0xa0e51d8c,
-    0xaa7a5253, 0xa0c38095,
-  0xaa9fbf1e, 0xa0a1f24d, 0xaac53912, 0xa08072ba, 0xaaeac02c, 0xa05f01e1,
-    0xab105464, 0xa03d9fc8,
-  0xab35f5b5, 0xa01c4c73, 0xab5ba41a, 0x9ffb07e7, 0xab815f8d, 0x9fd9d22a,
-    0xaba72807, 0x9fb8ab41,
-  0xabccfd83, 0x9f979331, 0xabf2dffb, 0x9f7689ff, 0xac18cf69, 0x9f558fb0,
-    0xac3ecbc7, 0x9f34a449,
-  0xac64d510, 0x9f13c7d0, 0xac8aeb3e, 0x9ef2fa49, 0xacb10e4b, 0x9ed23bb9,
-    0xacd73e30, 0x9eb18c26,
-  0xacfd7ae8, 0x9e90eb94, 0xad23c46e, 0x9e705a09, 0xad4a1aba, 0x9e4fd78a,
-    0xad707dc8, 0x9e2f641b,
-  0xad96ed92, 0x9e0effc1, 0xadbd6a10, 0x9deeaa82, 0xade3f33e, 0x9dce6463,
-    0xae0a8916, 0x9dae2d68,
-  0xae312b92, 0x9d8e0597, 0xae57daab, 0x9d6decf4, 0xae7e965b, 0x9d4de385,
-    0xaea55e9e, 0x9d2de94d,
-  0xaecc336c, 0x9d0dfe54, 0xaef314c0, 0x9cee229c, 0xaf1a0293, 0x9cce562c,
-    0xaf40fce1, 0x9cae9907,
-  0xaf6803a2, 0x9c8eeb34, 0xaf8f16d1, 0x9c6f4cb6, 0xafb63667, 0x9c4fbd93,
-    0xafdd625f, 0x9c303dcf,
-  0xb0049ab3, 0x9c10cd70, 0xb02bdf5c, 0x9bf16c7a, 0xb0533055, 0x9bd21af3,
-    0xb07a8d97, 0x9bb2d8de,
-  0xb0a1f71d, 0x9b93a641, 0xb0c96ce0, 0x9b748320, 0xb0f0eeda, 0x9b556f81,
-    0xb1187d05, 0x9b366b68,
-  0xb140175b, 0x9b1776da, 0xb167bdd7, 0x9af891db, 0xb18f7071, 0x9ad9bc71,
-    0xb1b72f23, 0x9abaf6a1,
-  0xb1def9e9, 0x9a9c406e, 0xb206d0ba, 0x9a7d99de, 0xb22eb392, 0x9a5f02f5,
-    0xb256a26a, 0x9a407bb9,
-  0xb27e9d3c, 0x9a22042d, 0xb2a6a402, 0x9a039c57, 0xb2ceb6b5, 0x99e5443b,
-    0xb2f6d550, 0x99c6fbde,
-  0xb31effcc, 0x99a8c345, 0xb3473623, 0x998a9a74, 0xb36f784f, 0x996c816f,
-    0xb397c649, 0x994e783d,
-  0xb3c0200c, 0x99307ee0, 0xb3e88592, 0x9912955f, 0xb410f6d3, 0x98f4bbbc,
-    0xb43973ca, 0x98d6f1fe,
-  0xb461fc70, 0x98b93828, 0xb48a90c0, 0x989b8e40, 0xb4b330b3, 0x987df449,
-    0xb4dbdc42, 0x98606a49,
-  0xb5049368, 0x9842f043, 0xb52d561e, 0x9825863d, 0xb556245e, 0x98082c3b,
-    0xb57efe22, 0x97eae242,
-  0xb5a7e362, 0x97cda855, 0xb5d0d41a, 0x97b07e7a, 0xb5f9d043, 0x979364b5,
-    0xb622d7d6, 0x97765b0a,
-  0xb64beacd, 0x9759617f, 0xb6750921, 0x973c7817, 0xb69e32cd, 0x971f9ed7,
-    0xb6c767ca, 0x9702d5c3,
-  0xb6f0a812, 0x96e61ce0, 0xb719f39e, 0x96c97432, 0xb7434a67, 0x96acdbbe,
-    0xb76cac69, 0x96905388,
-  0xb796199b, 0x9673db94, 0xb7bf91f8, 0x965773e7, 0xb7e9157a, 0x963b1c86,
-    0xb812a41a, 0x961ed574,
-  0xb83c3dd1, 0x96029eb6, 0xb865e299, 0x95e67850, 0xb88f926d, 0x95ca6247,
-    0xb8b94d44, 0x95ae5c9f,
-  0xb8e31319, 0x9592675c, 0xb90ce3e6, 0x95768283, 0xb936bfa4, 0x955aae17,
-    0xb960a64c, 0x953eea1e,
-  0xb98a97d8, 0x9523369c, 0xb9b49442, 0x95079394, 0xb9de9b83, 0x94ec010b,
-    0xba08ad95, 0x94d07f05,
-  0xba32ca71, 0x94b50d87, 0xba5cf210, 0x9499ac95, 0xba87246d, 0x947e5c33,
-    0xbab16180, 0x94631c65,
-  0xbadba943, 0x9447ed2f, 0xbb05fbb0, 0x942cce96, 0xbb3058c0, 0x9411c09e,
-    0xbb5ac06d, 0x93f6c34a,
-  0xbb8532b0, 0x93dbd6a0, 0xbbafaf82, 0x93c0faa3, 0xbbda36dd, 0x93a62f57,
-    0xbc04c8ba, 0x938b74c1,
-  0xbc2f6513, 0x9370cae4, 0xbc5a0be2, 0x935631c5, 0xbc84bd1f, 0x933ba968,
-    0xbcaf78c4, 0x932131d1,
-  0xbcda3ecb, 0x9306cb04, 0xbd050f2c, 0x92ec7505, 0xbd2fe9e2, 0x92d22fd9,
-    0xbd5acee5, 0x92b7fb82,
-  0xbd85be30, 0x929dd806, 0xbdb0b7bb, 0x9283c568, 0xbddbbb7f, 0x9269c3ac,
-    0xbe06c977, 0x924fd2d7,
-  0xbe31e19b, 0x9235f2ec, 0xbe5d03e6, 0x921c23ef, 0xbe88304f, 0x920265e4,
-    0xbeb366d1, 0x91e8b8d0,
-  0xbedea765, 0x91cf1cb6, 0xbf09f205, 0x91b5919a, 0xbf3546a8, 0x919c1781,
-    0xbf60a54a, 0x9182ae6d,
-  0xbf8c0de3, 0x91695663, 0xbfb7806c, 0x91500f67, 0xbfe2fcdf, 0x9136d97d,
-    0xc00e8336, 0x911db4a9,
-  0xc03a1368, 0x9104a0ee, 0xc065ad70, 0x90eb9e50, 0xc0915148, 0x90d2acd4,
-    0xc0bcfee7, 0x90b9cc7d,
-  0xc0e8b648, 0x90a0fd4e, 0xc1147764, 0x90883f4d, 0xc1404233, 0x906f927c,
-    0xc16c16b0, 0x9056f6df,
-  0xc197f4d4, 0x903e6c7b, 0xc1c3dc97, 0x9025f352, 0xc1efcdf3, 0x900d8b69,
-    0xc21bc8e1, 0x8ff534c4,
-  0xc247cd5a, 0x8fdcef66, 0xc273db58, 0x8fc4bb53, 0xc29ff2d4, 0x8fac988f,
-    0xc2cc13c7, 0x8f94871d,
-  0xc2f83e2a, 0x8f7c8701, 0xc32471f7, 0x8f649840, 0xc350af26, 0x8f4cbadb,
-    0xc37cf5b0, 0x8f34eed8,
-  0xc3a94590, 0x8f1d343a, 0xc3d59ebe, 0x8f058b04, 0xc4020133, 0x8eedf33b,
-    0xc42e6ce8, 0x8ed66ce1,
-  0xc45ae1d7, 0x8ebef7fb, 0xc4875ff9, 0x8ea7948c, 0xc4b3e746, 0x8e904298,
-    0xc4e077b8, 0x8e790222,
-  0xc50d1149, 0x8e61d32e, 0xc539b3f1, 0x8e4ab5bf, 0xc5665fa9, 0x8e33a9da,
-    0xc593146a, 0x8e1caf80,
-  0xc5bfd22e, 0x8e05c6b7, 0xc5ec98ee, 0x8deeef82, 0xc61968a2, 0x8dd829e4,
-    0xc6464144, 0x8dc175e0,
-  0xc67322ce, 0x8daad37b, 0xc6a00d37, 0x8d9442b8, 0xc6cd0079, 0x8d7dc399,
-    0xc6f9fc8d, 0x8d675623,
-  0xc727016d, 0x8d50fa59, 0xc7540f11, 0x8d3ab03f, 0xc7812572, 0x8d2477d8,
-    0xc7ae4489, 0x8d0e5127,
-  0xc7db6c50, 0x8cf83c30, 0xc8089cbf, 0x8ce238f6, 0xc835d5d0, 0x8ccc477d,
-    0xc863177b, 0x8cb667c8,
-  0xc89061ba, 0x8ca099da, 0xc8bdb485, 0x8c8addb7, 0xc8eb0fd6, 0x8c753362,
-    0xc91873a5, 0x8c5f9ade,
-  0xc945dfec, 0x8c4a142f, 0xc97354a4, 0x8c349f58, 0xc9a0d1c5, 0x8c1f3c5d,
-    0xc9ce5748, 0x8c09eb40,
-  0xc9fbe527, 0x8bf4ac05, 0xca297b5a, 0x8bdf7eb0, 0xca5719db, 0x8bca6343,
-    0xca84c0a3, 0x8bb559c1,
-  0xcab26fa9, 0x8ba0622f, 0xcae026e8, 0x8b8b7c8f, 0xcb0de658, 0x8b76a8e4,
-    0xcb3badf3, 0x8b61e733,
-  0xcb697db0, 0x8b4d377c, 0xcb97558a, 0x8b3899c6, 0xcbc53579, 0x8b240e11,
-    0xcbf31d75, 0x8b0f9462,
-  0xcc210d79, 0x8afb2cbb, 0xcc4f057c, 0x8ae6d720, 0xcc7d0578, 0x8ad29394,
-    0xccab0d65, 0x8abe6219,
-  0xccd91d3d, 0x8aaa42b4, 0xcd0734f9, 0x8a963567, 0xcd355491, 0x8a823a36,
-    0xcd637bfe, 0x8a6e5123,
-  0xcd91ab39, 0x8a5a7a31, 0xcdbfe23a, 0x8a46b564, 0xcdee20fc, 0x8a3302be,
-    0xce1c6777, 0x8a1f6243,
-  0xce4ab5a2, 0x8a0bd3f5, 0xce790b79, 0x89f857d8, 0xcea768f2, 0x89e4edef,
-    0xced5ce08, 0x89d1963c,
-  0xcf043ab3, 0x89be50c3, 0xcf32aeeb, 0x89ab1d87, 0xcf612aaa, 0x8997fc8a,
-    0xcf8fade9, 0x8984edcf,
-  0xcfbe389f, 0x8971f15a, 0xcfeccac7, 0x895f072e, 0xd01b6459, 0x894c2f4c,
-    0xd04a054e, 0x893969b9,
-  0xd078ad9e, 0x8926b677, 0xd0a75d42, 0x89141589, 0xd0d61434, 0x890186f2,
-    0xd104d26b, 0x88ef0ab4,
-  0xd13397e2, 0x88dca0d3, 0xd1626490, 0x88ca4951, 0xd191386e, 0x88b80432,
-    0xd1c01375, 0x88a5d177,
-  0xd1eef59e, 0x8893b125, 0xd21ddee2, 0x8881a33d, 0xd24ccf39, 0x886fa7c2,
-    0xd27bc69c, 0x885dbeb8,
-  0xd2aac504, 0x884be821, 0xd2d9ca6a, 0x883a23ff, 0xd308d6c7, 0x88287256,
-    0xd337ea12, 0x8816d327,
-  0xd3670446, 0x88054677, 0xd396255a, 0x87f3cc48, 0xd3c54d47, 0x87e2649b,
-    0xd3f47c06, 0x87d10f75,
-  0xd423b191, 0x87bfccd7, 0xd452eddf, 0x87ae9cc5, 0xd48230e9, 0x879d7f41,
-    0xd4b17aa8, 0x878c744d,
-  0xd4e0cb15, 0x877b7bec, 0xd5102228, 0x876a9621, 0xd53f7fda, 0x8759c2ef,
-    0xd56ee424, 0x87490258,
-  0xd59e4eff, 0x8738545e, 0xd5cdc062, 0x8727b905, 0xd5fd3848, 0x8717304e,
-    0xd62cb6a8, 0x8706ba3d,
-  0xd65c3b7b, 0x86f656d3, 0xd68bc6ba, 0x86e60614, 0xd6bb585e, 0x86d5c802,
-    0xd6eaf05f, 0x86c59c9f,
-  0xd71a8eb5, 0x86b583ee, 0xd74a335b, 0x86a57df2, 0xd779de47, 0x86958aac,
-    0xd7a98f73, 0x8685aa20,
-  0xd7d946d8, 0x8675dc4f, 0xd809046e, 0x8666213c, 0xd838c82d, 0x865678eb,
-    0xd868920f, 0x8646e35c,
-  0xd898620c, 0x86376092, 0xd8c8381d, 0x8627f091, 0xd8f81439, 0x86189359,
-    0xd927f65b, 0x860948ef,
-  0xd957de7a, 0x85fa1153, 0xd987cc90, 0x85eaec88, 0xd9b7c094, 0x85dbda91,
-    0xd9e7ba7f, 0x85ccdb70,
-  0xda17ba4a, 0x85bdef28, 0xda47bfee, 0x85af15b9, 0xda77cb63, 0x85a04f28,
-    0xdaa7dca1, 0x85919b76,
-  0xdad7f3a2, 0x8582faa5, 0xdb08105e, 0x85746cb8, 0xdb3832cd, 0x8565f1b0,
-    0xdb685ae9, 0x85578991,
-  0xdb9888a8, 0x8549345c, 0xdbc8bc06, 0x853af214, 0xdbf8f4f8, 0x852cc2bb,
-    0xdc293379, 0x851ea652,
-  0xdc597781, 0x85109cdd, 0xdc89c109, 0x8502a65c, 0xdcba1008, 0x84f4c2d4,
-    0xdcea6478, 0x84e6f244,
-  0xdd1abe51, 0x84d934b1, 0xdd4b1d8c, 0x84cb8a1b, 0xdd7b8220, 0x84bdf286,
-    0xddabec08, 0x84b06df2,
-  0xdddc5b3b, 0x84a2fc62, 0xde0ccfb1, 0x84959dd9, 0xde3d4964, 0x84885258,
-    0xde6dc84b, 0x847b19e1,
-  0xde9e4c60, 0x846df477, 0xdeced59b, 0x8460e21a, 0xdeff63f4, 0x8453e2cf,
-    0xdf2ff764, 0x8446f695,
-  0xdf608fe4, 0x843a1d70, 0xdf912d6b, 0x842d5762, 0xdfc1cff3, 0x8420a46c,
-    0xdff27773, 0x84140490,
-  0xe02323e5, 0x840777d0, 0xe053d541, 0x83fafe2e, 0xe0848b7f, 0x83ee97ad,
-    0xe0b54698, 0x83e2444d,
-  0xe0e60685, 0x83d60412, 0xe116cb3d, 0x83c9d6fc, 0xe14794ba, 0x83bdbd0e,
-    0xe17862f3, 0x83b1b649,
-  0xe1a935e2, 0x83a5c2b0, 0xe1da0d7e, 0x8399e244, 0xe20ae9c1, 0x838e1507,
-    0xe23bcaa2, 0x83825afb,
-  0xe26cb01b, 0x8376b422, 0xe29d9a23, 0x836b207d, 0xe2ce88b3, 0x835fa00f,
-    0xe2ff7bc3, 0x835432d8,
-  0xe330734d, 0x8348d8dc, 0xe3616f48, 0x833d921b, 0xe3926fad, 0x83325e97,
-    0xe3c37474, 0x83273e52,
-  0xe3f47d96, 0x831c314e, 0xe4258b0a, 0x8311378d, 0xe4569ccb, 0x83065110,
-    0xe487b2d0, 0x82fb7dd8,
-  0xe4b8cd11, 0x82f0bde8, 0xe4e9eb87, 0x82e61141, 0xe51b0e2a, 0x82db77e5,
-    0xe54c34f3, 0x82d0f1d5,
-  0xe57d5fda, 0x82c67f14, 0xe5ae8ed8, 0x82bc1fa2, 0xe5dfc1e5, 0x82b1d381,
-    0xe610f8f9, 0x82a79ab3,
-  0xe642340d, 0x829d753a, 0xe6737319, 0x82936317, 0xe6a4b616, 0x8289644b,
-    0xe6d5fcfc, 0x827f78d8,
-  0xe70747c4, 0x8275a0c0, 0xe7389665, 0x826bdc04, 0xe769e8d8, 0x82622aa6,
-    0xe79b3f16, 0x82588ca7,
-  0xe7cc9917, 0x824f0208, 0xe7fdf6d4, 0x82458acc, 0xe82f5844, 0x823c26f3,
-    0xe860bd61, 0x8232d67f,
-  0xe8922622, 0x82299971, 0xe8c39280, 0x82206fcc, 0xe8f50273, 0x82175990,
-    0xe92675f4, 0x820e56be,
-  0xe957ecfb, 0x82056758, 0xe9896781, 0x81fc8b60, 0xe9bae57d, 0x81f3c2d7,
-    0xe9ec66e8, 0x81eb0dbe,
-  0xea1debbb, 0x81e26c16, 0xea4f73ee, 0x81d9dde1, 0xea80ff7a, 0x81d16321,
-    0xeab28e56, 0x81c8fbd6,
-  0xeae4207a, 0x81c0a801, 0xeb15b5e1, 0x81b867a5, 0xeb474e81, 0x81b03ac2,
-    0xeb78ea52, 0x81a82159,
-  0xebaa894f, 0x81a01b6d, 0xebdc2b6e, 0x819828fd, 0xec0dd0a8, 0x81904a0c,
-    0xec3f78f6, 0x81887e9a,
-  0xec71244f, 0x8180c6a9, 0xeca2d2ad, 0x8179223a, 0xecd48407, 0x8171914e,
-    0xed063856, 0x816a13e6,
-  0xed37ef91, 0x8162aa04, 0xed69a9b3, 0x815b53a8, 0xed9b66b2, 0x815410d4,
-    0xedcd2687, 0x814ce188,
-  0xedfee92b, 0x8145c5c7, 0xee30ae96, 0x813ebd90, 0xee6276bf, 0x8137c8e6,
-    0xee9441a0, 0x8130e7c9,
-  0xeec60f31, 0x812a1a3a, 0xeef7df6a, 0x8123603a, 0xef29b243, 0x811cb9ca,
-    0xef5b87b5, 0x811626ec,
-  0xef8d5fb8, 0x810fa7a0, 0xefbf3a45, 0x81093be8, 0xeff11753, 0x8102e3c4,
-    0xf022f6da, 0x80fc9f35,
-  0xf054d8d5, 0x80f66e3c, 0xf086bd39, 0x80f050db, 0xf0b8a401, 0x80ea4712,
-    0xf0ea8d24, 0x80e450e2,
-  0xf11c789a, 0x80de6e4c, 0xf14e665c, 0x80d89f51, 0xf1805662, 0x80d2e3f2,
-    0xf1b248a5, 0x80cd3c2f,
-  0xf1e43d1c, 0x80c7a80a, 0xf21633c0, 0x80c22784, 0xf2482c8a, 0x80bcba9d,
-    0xf27a2771, 0x80b76156,
-  0xf2ac246e, 0x80b21baf, 0xf2de2379, 0x80ace9ab, 0xf310248a, 0x80a7cb49,
-    0xf342279b, 0x80a2c08b,
-  0xf3742ca2, 0x809dc971, 0xf3a63398, 0x8098e5fb, 0xf3d83c77, 0x8094162c,
-    0xf40a4735, 0x808f5a02,
-  0xf43c53cb, 0x808ab180, 0xf46e6231, 0x80861ca6, 0xf4a07261, 0x80819b74,
-    0xf4d28451, 0x807d2dec,
-  0xf50497fb, 0x8078d40d, 0xf536ad56, 0x80748dd9, 0xf568c45b, 0x80705b50,
-    0xf59add02, 0x806c3c74,
-  0xf5ccf743, 0x80683143, 0xf5ff1318, 0x806439c0, 0xf6313077, 0x806055eb,
-    0xf6634f59, 0x805c85c4,
-  0xf6956fb7, 0x8058c94c, 0xf6c79188, 0x80552084, 0xf6f9b4c6, 0x80518b6b,
-    0xf72bd967, 0x804e0a04,
-  0xf75dff66, 0x804a9c4d, 0xf79026b9, 0x80474248, 0xf7c24f59, 0x8043fbf6,
-    0xf7f4793e, 0x8040c956,
-  0xf826a462, 0x803daa6a, 0xf858d0bb, 0x803a9f31, 0xf88afe42, 0x8037a7ac,
-    0xf8bd2cef, 0x8034c3dd,
-  0xf8ef5cbb, 0x8031f3c2, 0xf9218d9e, 0x802f375d, 0xf953bf91, 0x802c8ead,
-    0xf985f28a, 0x8029f9b4,
-  0xf9b82684, 0x80277872, 0xf9ea5b75, 0x80250ae7, 0xfa1c9157, 0x8022b114,
-    0xfa4ec821, 0x80206af8,
-  0xfa80ffcb, 0x801e3895, 0xfab3384f, 0x801c19ea, 0xfae571a4, 0x801a0ef8,
-    0xfb17abc2, 0x801817bf,
-  0xfb49e6a3, 0x80163440, 0xfb7c223d, 0x8014647b, 0xfbae5e89, 0x8012a86f,
-    0xfbe09b80, 0x8011001f,
-  0xfc12d91a, 0x800f6b88, 0xfc45174e, 0x800deaad, 0xfc775616, 0x800c7d8c,
-    0xfca9956a, 0x800b2427,
-  0xfcdbd541, 0x8009de7e, 0xfd0e1594, 0x8008ac90, 0xfd40565c, 0x80078e5e,
-    0xfd729790, 0x800683e8,
-  0xfda4d929, 0x80058d2f, 0xfdd71b1e, 0x8004aa32, 0xfe095d69, 0x8003daf1,
-    0xfe3ba002, 0x80031f6d,
-  0xfe6de2e0, 0x800277a6, 0xfea025fd, 0x8001e39b, 0xfed2694f, 0x8001634e,
-    0xff04acd0, 0x8000f6bd,
-  0xff36f078, 0x80009dea, 0xff69343f, 0x800058d4, 0xff9b781d, 0x8000277a,
-    0xffcdbc0b, 0x800009df,
-
-};
+const q31_t twiddleCoef_4096_q31[6144] = 
+{
+    0x7FFFFFFF, 0x00000000,
+    0x7FFFF621, 0x003243F5,
+    0x7FFFD885, 0x006487E3,
+    0x7FFFA72C, 0x0096CBC1,
+    0x7FFF6216, 0x00C90F88,
+    0x7FFF0942, 0x00FB532F,
+    0x7FFE9CB2, 0x012D96B0,
+    0x7FFE1C64, 0x015FDA03,
+    0x7FFD885A, 0x01921D1F,
+    0x7FFCE093, 0x01C45FFE,
+    0x7FFC250F, 0x01F6A296,
+    0x7FFB55CE, 0x0228E4E1,
+    0x7FFA72D1, 0x025B26D7,
+    0x7FF97C17, 0x028D6870,
+    0x7FF871A1, 0x02BFA9A4,
+    0x7FF7536F, 0x02F1EA6B,
+    0x7FF62182, 0x03242ABF,
+    0x7FF4DBD8, 0x03566A96,
+    0x7FF38273, 0x0388A9E9,
+    0x7FF21553, 0x03BAE8B1,
+    0x7FF09477, 0x03ED26E6,
+    0x7FEEFFE1, 0x041F647F,
+    0x7FED5790, 0x0451A176,
+    0x7FEB9B85, 0x0483DDC3,
+    0x7FE9CBC0, 0x04B6195D,
+    0x7FE7E840, 0x04E8543D,
+    0x7FE5F108, 0x051A8E5C,
+    0x7FE3E616, 0x054CC7B0,
+    0x7FE1C76B, 0x057F0034,
+    0x7FDF9508, 0x05B137DF,
+    0x7FDD4EEC, 0x05E36EA9,
+    0x7FDAF518, 0x0615A48A,
+    0x7FD8878D, 0x0647D97C,
+    0x7FD6064B, 0x067A0D75,
+    0x7FD37152, 0x06AC406F,
+    0x7FD0C8A3, 0x06DE7261,
+    0x7FCE0C3E, 0x0710A344,
+    0x7FCB3C23, 0x0742D310,
+    0x7FC85853, 0x077501BE,
+    0x7FC560CF, 0x07A72F45,
+    0x7FC25596, 0x07D95B9E,
+    0x7FBF36A9, 0x080B86C1,
+    0x7FBC040A, 0x083DB0A7,
+    0x7FB8BDB7, 0x086FD947,
+    0x7FB563B2, 0x08A2009A,
+    0x7FB1F5FC, 0x08D42698,
+    0x7FAE7494, 0x09064B3A,
+    0x7FAADF7C, 0x09386E77,
+    0x7FA736B4, 0x096A9049,
+    0x7FA37A3C, 0x099CB0A7,
+    0x7F9FAA15, 0x09CECF89,
+    0x7F9BC63F, 0x0A00ECE8,
+    0x7F97CEBC, 0x0A3308BC,
+    0x7F93C38C, 0x0A6522FE,
+    0x7F8FA4AF, 0x0A973BA5,
+    0x7F8B7226, 0x0AC952AA,
+    0x7F872BF3, 0x0AFB6805,
+    0x7F82D214, 0x0B2D7BAE,
+    0x7F7E648B, 0x0B5F8D9F,
+    0x7F79E35A, 0x0B919DCE,
+    0x7F754E7F, 0x0BC3AC35,
+    0x7F70A5FD, 0x0BF5B8CB,
+    0x7F6BE9D4, 0x0C27C389,
+    0x7F671A04, 0x0C59CC67,
+    0x7F62368F, 0x0C8BD35E,
+    0x7F5D3F75, 0x0CBDD865,
+    0x7F5834B6, 0x0CEFDB75,
+    0x7F531654, 0x0D21DC87,
+    0x7F4DE450, 0x0D53DB92,
+    0x7F489EAA, 0x0D85D88F,
+    0x7F434563, 0x0DB7D376,
+    0x7F3DD87C, 0x0DE9CC3F,
+    0x7F3857F5, 0x0E1BC2E3,
+    0x7F32C3D0, 0x0E4DB75B,
+    0x7F2D1C0E, 0x0E7FA99D,
+    0x7F2760AF, 0x0EB199A3,
+    0x7F2191B4, 0x0EE38765,
+    0x7F1BAF1E, 0x0F1572DC,
+    0x7F15B8EE, 0x0F475BFE,
+    0x7F0FAF24, 0x0F7942C6,
+    0x7F0991C3, 0x0FAB272B,
+    0x7F0360CB, 0x0FDD0925,
+    0x7EFD1C3C, 0x100EE8AD,
+    0x7EF6C418, 0x1040C5BB,
+    0x7EF0585F, 0x1072A047,
+    0x7EE9D913, 0x10A4784A,
+    0x7EE34635, 0x10D64DBC,
+    0x7EDC9FC6, 0x11082096,
+    0x7ED5E5C6, 0x1139F0CE,
+    0x7ECF1837, 0x116BBE5F,
+    0x7EC8371A, 0x119D8940,
+    0x7EC1426F, 0x11CF516A,
+    0x7EBA3A39, 0x120116D4,
+    0x7EB31E77, 0x1232D978,
+    0x7EABEF2C, 0x1264994E,
+    0x7EA4AC58, 0x1296564D,
+    0x7E9D55FC, 0x12C8106E,
+    0x7E95EC19, 0x12F9C7AA,
+    0x7E8E6EB1, 0x132B7BF9,
+    0x7E86DDC5, 0x135D2D53,
+    0x7E7F3956, 0x138EDBB0,
+    0x7E778165, 0x13C0870A,
+    0x7E6FB5F3, 0x13F22F57,
+    0x7E67D702, 0x1423D492,
+    0x7E5FE493, 0x145576B1,
+    0x7E57DEA6, 0x148715AD,
+    0x7E4FC53E, 0x14B8B17F,
+    0x7E47985B, 0x14EA4A1F,
+    0x7E3F57FE, 0x151BDF85,
+    0x7E37042A, 0x154D71AA,
+    0x7E2E9CDF, 0x157F0086,
+    0x7E26221E, 0x15B08C11,
+    0x7E1D93E9, 0x15E21444,
+    0x7E14F242, 0x16139917,
+    0x7E0C3D29, 0x16451A83,
+    0x7E03749F, 0x1676987F,
+    0x7DFA98A7, 0x16A81305,
+    0x7DF1A942, 0x16D98A0C,
+    0x7DE8A670, 0x170AFD8D,
+    0x7DDF9034, 0x173C6D80,
+    0x7DD6668E, 0x176DD9DE,
+    0x7DCD2981, 0x179F429F,
+    0x7DC3D90D, 0x17D0A7BB,
+    0x7DBA7534, 0x1802092C,
+    0x7DB0FDF7, 0x183366E8,
+    0x7DA77359, 0x1864C0E9,
+    0x7D9DD55A, 0x18961727,
+    0x7D9423FB, 0x18C7699B,
+    0x7D8A5F3F, 0x18F8B83C,
+    0x7D808727, 0x192A0303,
+    0x7D769BB5, 0x195B49E9,
+    0x7D6C9CE9, 0x198C8CE6,
+    0x7D628AC5, 0x19BDCBF2,
+    0x7D58654C, 0x19EF0706,
+    0x7D4E2C7E, 0x1A203E1B,
+    0x7D43E05E, 0x1A517127,
+    0x7D3980EC, 0x1A82A025,
+    0x7D2F0E2A, 0x1AB3CB0C,
+    0x7D24881A, 0x1AE4F1D6,
+    0x7D19EEBE, 0x1B161479,
+    0x7D0F4218, 0x1B4732EF,
+    0x7D048228, 0x1B784D30,
+    0x7CF9AEF0, 0x1BA96334,
+    0x7CEEC873, 0x1BDA74F5,
+    0x7CE3CEB1, 0x1C0B826A,
+    0x7CD8C1AD, 0x1C3C8B8C,
+    0x7CCDA168, 0x1C6D9053,
+    0x7CC26DE5, 0x1C9E90B8,
+    0x7CB72724, 0x1CCF8CB3,
+    0x7CABCD27, 0x1D00843C,
+    0x7CA05FF1, 0x1D31774D,
+    0x7C94DF82, 0x1D6265DD,
+    0x7C894BDD, 0x1D934FE5,
+    0x7C7DA504, 0x1DC4355D,
+    0x7C71EAF8, 0x1DF5163F,
+    0x7C661DBB, 0x1E25F281,
+    0x7C5A3D4F, 0x1E56CA1E,
+    0x7C4E49B6, 0x1E879D0C,
+    0x7C4242F2, 0x1EB86B46,
+    0x7C362904, 0x1EE934C2,
+    0x7C29FBEE, 0x1F19F97B,
+    0x7C1DBBB2, 0x1F4AB967,
+    0x7C116853, 0x1F7B7480,
+    0x7C0501D1, 0x1FAC2ABF,
+    0x7BF88830, 0x1FDCDC1A,
+    0x7BEBFB70, 0x200D888C,
+    0x7BDF5B94, 0x203E300D,
+    0x7BD2A89E, 0x206ED295,
+    0x7BC5E28F, 0x209F701C,
+    0x7BB9096A, 0x20D0089B,
+    0x7BAC1D31, 0x21009C0B,
+    0x7B9F1DE5, 0x21312A65,
+    0x7B920B89, 0x2161B39F,
+    0x7B84E61E, 0x219237B4,
+    0x7B77ADA8, 0x21C2B69C,
+    0x7B6A6227, 0x21F3304E,
+    0x7B5D039D, 0x2223A4C5,
+    0x7B4F920E, 0x225413F8,
+    0x7B420D7A, 0x22847DDF,
+    0x7B3475E4, 0x22B4E274,
+    0x7B26CB4F, 0x22E541AE,
+    0x7B190DBB, 0x23159B87,
+    0x7B0B3D2C, 0x2345EFF7,
+    0x7AFD59A3, 0x23763EF7,
+    0x7AEF6323, 0x23A6887E,
+    0x7AE159AE, 0x23D6CC86,
+    0x7AD33D45, 0x24070B07,
+    0x7AC50DEB, 0x243743FA,
+    0x7AB6CBA3, 0x24677757,
+    0x7AA8766E, 0x2497A517,
+    0x7A9A0E4F, 0x24C7CD32,
+    0x7A8B9348, 0x24F7EFA1,
+    0x7A7D055B, 0x25280C5D,
+    0x7A6E648A, 0x2558235E,
+    0x7A5FB0D8, 0x2588349D,
+    0x7A50EA46, 0x25B84012,
+    0x7A4210D8, 0x25E845B5,
+    0x7A33248F, 0x26184581,
+    0x7A24256E, 0x26483F6C,
+    0x7A151377, 0x26783370,
+    0x7A05EEAD, 0x26A82185,
+    0x79F6B711, 0x26D809A5,
+    0x79E76CA6, 0x2707EBC6,
+    0x79D80F6F, 0x2737C7E3,
+    0x79C89F6D, 0x27679DF4,
+    0x79B91CA4, 0x27976DF1,
+    0x79A98715, 0x27C737D2,
+    0x7999DEC3, 0x27F6FB92,
+    0x798A23B1, 0x2826B928,
+    0x797A55E0, 0x2856708C,
+    0x796A7554, 0x288621B9,
+    0x795A820E, 0x28B5CCA5,
+    0x794A7C11, 0x28E5714A,
+    0x793A6360, 0x29150FA1,
+    0x792A37FE, 0x2944A7A2,
+    0x7919F9EB, 0x29743945,
+    0x7909A92C, 0x29A3C484,
+    0x78F945C3, 0x29D34958,
+    0x78E8CFB1, 0x2A02C7B8,
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+    0x78C7ABA1, 0x2A61B101,
+    0x78B6FDA8, 0x2A911BDB,
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+    0x78848413, 0x2B1F34EB,
+    0x78738BB3, 0x2B4E8558,
+    0x786280BF, 0x2B7DCF17,
+    0x7851633B, 0x2BAD1221,
+    0x78403328, 0x2BDC4E6F,
+    0x782EF08B, 0x2C0B83F9,
+    0x781D9B64, 0x2C3AB2B9,
+    0x780C33B8, 0x2C69DAA6,
+    0x77FAB988, 0x2C98FBBA,
+    0x77E92CD8, 0x2CC815ED,
+    0x77D78DAA, 0x2CF72939,
+    0x77C5DC01, 0x2D263595,
+    0x77B417DF, 0x2D553AFB,
+    0x77A24148, 0x2D843963,
+    0x7790583D, 0x2DB330C7,
+    0x777E5CC3, 0x2DE2211E,
+    0x776C4EDB, 0x2E110A62,
+    0x775A2E88, 0x2E3FEC8B,
+    0x7747FBCE, 0x2E6EC792,
+    0x7735B6AE, 0x2E9D9B70,
+    0x77235F2D, 0x2ECC681E,
+    0x7710F54B, 0x2EFB2D94,
+    0x76FE790E, 0x2F29EBCC,
+    0x76EBEA77, 0x2F58A2BD,
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+    0x76B3D0B3, 0x2FE49BA6,
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+    0x744AA63E, 0x357B3F5D,
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+    0x60686CCE, 0x5433027D,
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+    0x5D8314B0, 0x57677B9D,
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+    0x5C0621B2, 0x58F838A9,
+    0x5BE32A67, 0x591C550E,
+    0x5BC024F0, 0x594063B4,
+    0x5B9D1153, 0x59646497,
+    0x5B79EF96, 0x598857B1,
+    0x5B56BFBD, 0x59AC3CFD,
+    0x5B3381CE, 0x59D01474,
+    0x5B1035CF, 0x59F3DE12,
+    0x5AECDBC4, 0x5A1799D0,
+    0x5AC973B4, 0x5A3B47AA,
+    0x5AA5FDA4, 0x5A5EE79A,
+    0x5A82799A, 0x5A82799A,
+    0x5A5EE79A, 0x5AA5FDA4,
+    0x5A3B47AA, 0x5AC973B4,
+    0x5A1799D0, 0x5AECDBC4,
+    0x59F3DE12, 0x5B1035CF,
+    0x59D01474, 0x5B3381CE,
+    0x59AC3CFD, 0x5B56BFBD,
+    0x598857B1, 0x5B79EF96,
+    0x59646497, 0x5B9D1153,
+    0x594063B4, 0x5BC024F0,
+    0x591C550E, 0x5BE32A67,
+    0x58F838A9, 0x5C0621B2,
+    0x58D40E8C, 0x5C290ACC,
+    0x58AFD6BC, 0x5C4BE5B0,
+    0x588B913F, 0x5C6EB258,
+    0x58673E1B, 0x5C9170BF,
+    0x5842DD54, 0x5CB420DF,
+    0x581E6EF1, 0x5CD6C2B4,
+    0x57F9F2F7, 0x5CF95638,
+    0x57D5696C, 0x5D1BDB65,
+    0x57B0D256, 0x5D3E5236,
+    0x578C2DB9, 0x5D60BAA6,
+    0x57677B9D, 0x5D8314B0,
+    0x5742BC05, 0x5DA5604E,
+    0x571DEEF9, 0x5DC79D7C,
+    0x56F9147E, 0x5DE9CC32,
+    0x56D42C99, 0x5E0BEC6E,
+    0x56AF3750, 0x5E2DFE28,
+    0x568A34A9, 0x5E50015D,
+    0x566524AA, 0x5E71F606,
+    0x56400757, 0x5E93DC1F,
+    0x561ADCB8, 0x5EB5B3A1,
+    0x55F5A4D2, 0x5ED77C89,
+    0x55D05FAA, 0x5EF936D1,
+    0x55AB0D46, 0x5F1AE273,
+    0x5585ADAC, 0x5F3C7F6B,
+    0x556040E2, 0x5F5E0DB3,
+    0x553AC6ED, 0x5F7F8D46,
+    0x55153FD4, 0x5FA0FE1E,
+    0x54EFAB9C, 0x5FC26038,
+    0x54CA0A4A, 0x5FE3B38D,
+    0x54A45BE5, 0x6004F818,
+    0x547EA073, 0x60262DD5,
+    0x5458D7F9, 0x604754BE,
+    0x5433027D, 0x60686CCE,
+    0x540D2005, 0x60897600,
+    0x53E73097, 0x60AA704F,
+    0x53C13438, 0x60CB5BB6,
+    0x539B2AEF, 0x60EC3830,
+    0x537514C1, 0x610D05B7,
+    0x534EF1B5, 0x612DC446,
+    0x5328C1D0, 0x614E73D9,
+    0x53028517, 0x616F146B,
+    0x52DC3B92, 0x618FA5F6,
+    0x52B5E545, 0x61B02876,
+    0x528F8237, 0x61D09BE5,
+    0x5269126E, 0x61F1003E,
+    0x524295EF, 0x6211557D,
+    0x521C0CC1, 0x62319B9D,
+    0x51F576E9, 0x6251D297,
+    0x51CED46E, 0x6271FA69,
+    0x51A82555, 0x6292130C,
+    0x518169A4, 0x62B21C7B,
+    0x515AA162, 0x62D216B2,
+    0x5133CC94, 0x62F201AC,
+    0x510CEB40, 0x6311DD63,
+    0x50E5FD6C, 0x6331A9D4,
+    0x50BF031F, 0x635166F8,
+    0x5097FC5E, 0x637114CC,
+    0x5070E92F, 0x6390B34A,
+    0x5049C999, 0x63B0426D,
+    0x50229DA0, 0x63CFC230,
+    0x4FFB654D, 0x63EF328F,
+    0x4FD420A3, 0x640E9385,
+    0x4FACCFAB, 0x642DE50D,
+    0x4F857268, 0x644D2722,
+    0x4F5E08E3, 0x646C59BF,
+    0x4F369320, 0x648B7CDF,
+    0x4F0F1126, 0x64AA907F,
+    0x4EE782FA, 0x64C99498,
+    0x4EBFE8A4, 0x64E88926,
+    0x4E984229, 0x65076E24,
+    0x4E708F8F, 0x6526438E,
+    0x4E48D0DC, 0x6545095F,
+    0x4E210617, 0x6563BF92,
+    0x4DF92F45, 0x65826622,
+    0x4DD14C6E, 0x65A0FD0B,
+    0x4DA95D96, 0x65BF8447,
+    0x4D8162C4, 0x65DDFBD3,
+    0x4D595BFE, 0x65FC63A9,
+    0x4D31494B, 0x661ABBC5,
+    0x4D092AB0, 0x66390422,
+    0x4CE10034, 0x66573CBB,
+    0x4CB8C9DD, 0x6675658C,
+    0x4C9087B1, 0x66937E90,
+    0x4C6839B6, 0x66B187C3,
+    0x4C3FDFF3, 0x66CF811F,
+    0x4C177A6E, 0x66ED6AA1,
+    0x4BEF092D, 0x670B4443,
+    0x4BC68C36, 0x67290E02,
+    0x4B9E038F, 0x6746C7D7,
+    0x4B756F3F, 0x676471C0,
+    0x4B4CCF4D, 0x67820BB6,
+    0x4B2423BD, 0x679F95B7,
+    0x4AFB6C97, 0x67BD0FBC,
+    0x4AD2A9E1, 0x67DA79C2,
+    0x4AA9DBA1, 0x67F7D3C4,
+    0x4A8101DE, 0x68151DBE,
+    0x4A581C9D, 0x683257AA,
+    0x4A2F2BE5, 0x684F8186,
+    0x4A062FBD, 0x686C9B4B,
+    0x49DD282A, 0x6889A4F5,
+    0x49B41533, 0x68A69E81,
+    0x498AF6DE, 0x68C387E9,
+    0x4961CD32, 0x68E06129,
+    0x49389836, 0x68FD2A3D,
+    0x490F57EE, 0x6919E320,
+    0x48E60C62, 0x69368BCE,
+    0x48BCB598, 0x69532442,
+    0x48935397, 0x696FAC78,
+    0x4869E664, 0x698C246C,
+    0x48406E07, 0x69A88C18,
+    0x4816EA85, 0x69C4E37A,
+    0x47ED5BE6, 0x69E12A8C,
+    0x47C3C22E, 0x69FD614A,
+    0x479A1D66, 0x6A1987B0,
+    0x47706D93, 0x6A359DB9,
+    0x4746B2BC, 0x6A51A361,
+    0x471CECE6, 0x6A6D98A4,
+    0x46F31C1A, 0x6A897D7D,
+    0x46C9405C, 0x6AA551E8,
+    0x469F59B4, 0x6AC115E1,
+    0x46756827, 0x6ADCC964,
+    0x464B6BBD, 0x6AF86C6C,
+    0x4621647C, 0x6B13FEF5,
+    0x45F7526B, 0x6B2F80FA,
+    0x45CD358F, 0x6B4AF278,
+    0x45A30DF0, 0x6B66536A,
+    0x4578DB93, 0x6B81A3CD,
+    0x454E9E80, 0x6B9CE39B,
+    0x452456BC, 0x6BB812D0,
+    0x44FA044F, 0x6BD3316A,
+    0x44CFA73F, 0x6BEE3F62,
+    0x44A53F93, 0x6C093CB6,
+    0x447ACD50, 0x6C242960,
+    0x4450507E, 0x6C3F055D,
+    0x4425C923, 0x6C59D0A9,
+    0x43FB3745, 0x6C748B3F,
+    0x43D09AEC, 0x6C8F351C,
+    0x43A5F41E, 0x6CA9CE3A,
+    0x437B42E1, 0x6CC45697,
+    0x4350873C, 0x6CDECE2E,
+    0x4325C135, 0x6CF934FB,
+    0x42FAF0D4, 0x6D138AFA,
+    0x42D0161E, 0x6D2DD027,
+    0x42A5311A, 0x6D48047E,
+    0x427A41D0, 0x6D6227FA,
+    0x424F4845, 0x6D7C3A98,
+    0x42244480, 0x6D963C54,
+    0x41F93688, 0x6DB02D29,
+    0x41CE1E64, 0x6DCA0D14,
+    0x41A2FC1A, 0x6DE3DC11,
+    0x4177CFB0, 0x6DFD9A1B,
+    0x414C992E, 0x6E17472F,
+    0x4121589A, 0x6E30E349,
+    0x40F60DFB, 0x6E4A6E65,
+    0x40CAB957, 0x6E63E87F,
+    0x409F5AB6, 0x6E7D5193,
+    0x4073F21D, 0x6E96A99C,
+    0x40487F93, 0x6EAFF098,
+    0x401D0320, 0x6EC92682,
+    0x3FF17CCA, 0x6EE24B57,
+    0x3FC5EC97, 0x6EFB5F12,
+    0x3F9A528F, 0x6F1461AF,
+    0x3F6EAEB8, 0x6F2D532C,
+    0x3F430118, 0x6F463383,
+    0x3F1749B7, 0x6F5F02B1,
+    0x3EEB889C, 0x6F77C0B3,
+    0x3EBFBDCC, 0x6F906D84,
+    0x3E93E94F, 0x6FA90920,
+    0x3E680B2C, 0x6FC19385,
+    0x3E3C2369, 0x6FDA0CAD,
+    0x3E10320D, 0x6FF27496,
+    0x3DE4371F, 0x700ACB3B,
+    0x3DB832A5, 0x70231099,
+    0x3D8C24A7, 0x703B44AC,
+    0x3D600D2B, 0x70536771,
+    0x3D33EC39, 0x706B78E3,
+    0x3D07C1D5, 0x708378FE,
+    0x3CDB8E09, 0x709B67C0,
+    0x3CAF50DA, 0x70B34524,
+    0x3C830A4F, 0x70CB1127,
+    0x3C56BA70, 0x70E2CBC6,
+    0x3C2A6142, 0x70FA74FB,
+    0x3BFDFECD, 0x71120CC5,
+    0x3BD19317, 0x7129931E,
+    0x3BA51E29, 0x71410804,
+    0x3B78A007, 0x71586B73,
+    0x3B4C18BA, 0x716FBD68,
+    0x3B1F8847, 0x7186FDDE,
+    0x3AF2EEB7, 0x719E2CD2,
+    0x3AC64C0F, 0x71B54A40,
+    0x3A99A057, 0x71CC5626,
+    0x3A6CEB95, 0x71E3507F,
+    0x3A402DD1, 0x71FA3948,
+    0x3A136712, 0x7211107D,
+    0x39E6975D, 0x7227D61C,
+    0x39B9BEBB, 0x723E8A1F,
+    0x398CDD32, 0x72552C84,
+    0x395FF2C9, 0x726BBD48,
+    0x3932FF87, 0x72823C66,
+    0x39060372, 0x7298A9DC,
+    0x38D8FE93, 0x72AF05A6,
+    0x38ABF0EF, 0x72C54FC0,
+    0x387EDA8E, 0x72DB8828,
+    0x3851BB76, 0x72F1AED8,
+    0x382493B0, 0x7307C3D0,
+    0x37F76340, 0x731DC709,
+    0x37CA2A30, 0x7333B883,
+    0x379CE884, 0x73499838,
+    0x376F9E46, 0x735F6626,
+    0x37424B7A, 0x73752249,
+    0x3714F02A, 0x738ACC9E,
+    0x36E78C5A, 0x73A06522,
+    0x36BA2013, 0x73B5EBD0,
+    0x368CAB5C, 0x73CB60A7,
+    0x365F2E3B, 0x73E0C3A3,
+    0x3631A8B7, 0x73F614C0,
+    0x36041AD9, 0x740B53FA,
+    0x35D684A5, 0x74208150,
+    0x35A8E624, 0x74359CBD,
+    0x357B3F5D, 0x744AA63E,
+    0x354D9056, 0x745F9DD1,
+    0x351FD917, 0x74748371,
+    0x34F219A7, 0x7489571B,
+    0x34C4520D, 0x749E18CD,
+    0x3496824F, 0x74B2C883,
+    0x3468AA76, 0x74C7663A,
+    0x343ACA87, 0x74DBF1EF,
+    0x340CE28A, 0x74F06B9E,
+    0x33DEF287, 0x7504D345,
+    0x33B0FA84, 0x751928E0,
+    0x3382FA88, 0x752D6C6C,
+    0x3354F29A, 0x75419DE6,
+    0x3326E2C2, 0x7555BD4B,
+    0x32F8CB07, 0x7569CA98,
+    0x32CAAB6F, 0x757DC5CA,
+    0x329C8402, 0x7591AEDD,
+    0x326E54C7, 0x75A585CF,
+    0x32401DC5, 0x75B94A9C,
+    0x3211DF03, 0x75CCFD42,
+    0x31E39889, 0x75E09DBD,
+    0x31B54A5D, 0x75F42C0A,
+    0x3186F487, 0x7607A827,
+    0x3158970D, 0x761B1211,
+    0x312A31F8, 0x762E69C3,
+    0x30FBC54D, 0x7641AF3C,
+    0x30CD5114, 0x7654E279,
+    0x309ED555, 0x76680376,
+    0x30705217, 0x767B1230,
+    0x3041C760, 0x768E0EA5,
+    0x30133538, 0x76A0F8D2,
+    0x2FE49BA6, 0x76B3D0B3,
+    0x2FB5FAB2, 0x76C69646,
+    0x2F875262, 0x76D94988,
+    0x2F58A2BD, 0x76EBEA77,
+    0x2F29EBCC, 0x76FE790E,
+    0x2EFB2D94, 0x7710F54B,
+    0x2ECC681E, 0x77235F2D,
+    0x2E9D9B70, 0x7735B6AE,
+    0x2E6EC792, 0x7747FBCE,
+    0x2E3FEC8B, 0x775A2E88,
+    0x2E110A62, 0x776C4EDB,
+    0x2DE2211E, 0x777E5CC3,
+    0x2DB330C7, 0x7790583D,
+    0x2D843963, 0x77A24148,
+    0x2D553AFB, 0x77B417DF,
+    0x2D263595, 0x77C5DC01,
+    0x2CF72939, 0x77D78DAA,
+    0x2CC815ED, 0x77E92CD8,
+    0x2C98FBBA, 0x77FAB988,
+    0x2C69DAA6, 0x780C33B8,
+    0x2C3AB2B9, 0x781D9B64,
+    0x2C0B83F9, 0x782EF08B,
+    0x2BDC4E6F, 0x78403328,
+    0x2BAD1221, 0x7851633B,
+    0x2B7DCF17, 0x786280BF,
+    0x2B4E8558, 0x78738BB3,
+    0x2B1F34EB, 0x78848413,
+    0x2AEFDDD8, 0x789569DE,
+    0x2AC08025, 0x78A63D10,
+    0x2A911BDB, 0x78B6FDA8,
+    0x2A61B101, 0x78C7ABA1,
+    0x2A323F9D, 0x78D846FB,
+    0x2A02C7B8, 0x78E8CFB1,
+    0x29D34958, 0x78F945C3,
+    0x29A3C484, 0x7909A92C,
+    0x29743945, 0x7919F9EB,
+    0x2944A7A2, 0x792A37FE,
+    0x29150FA1, 0x793A6360,
+    0x28E5714A, 0x794A7C11,
+    0x28B5CCA5, 0x795A820E,
+    0x288621B9, 0x796A7554,
+    0x2856708C, 0x797A55E0,
+    0x2826B928, 0x798A23B1,
+    0x27F6FB92, 0x7999DEC3,
+    0x27C737D2, 0x79A98715,
+    0x27976DF1, 0x79B91CA4,
+    0x27679DF4, 0x79C89F6D,
+    0x2737C7E3, 0x79D80F6F,
+    0x2707EBC6, 0x79E76CA6,
+    0x26D809A5, 0x79F6B711,
+    0x26A82185, 0x7A05EEAD,
+    0x26783370, 0x7A151377,
+    0x26483F6C, 0x7A24256E,
+    0x26184581, 0x7A33248F,
+    0x25E845B5, 0x7A4210D8,
+    0x25B84012, 0x7A50EA46,
+    0x2588349D, 0x7A5FB0D8,
+    0x2558235E, 0x7A6E648A,
+    0x25280C5D, 0x7A7D055B,
+    0x24F7EFA1, 0x7A8B9348,
+    0x24C7CD32, 0x7A9A0E4F,
+    0x2497A517, 0x7AA8766E,
+    0x24677757, 0x7AB6CBA3,
+    0x243743FA, 0x7AC50DEB,
+    0x24070B07, 0x7AD33D45,
+    0x23D6CC86, 0x7AE159AE,
+    0x23A6887E, 0x7AEF6323,
+    0x23763EF7, 0x7AFD59A3,
+    0x2345EFF7, 0x7B0B3D2C,
+    0x23159B87, 0x7B190DBB,
+    0x22E541AE, 0x7B26CB4F,
+    0x22B4E274, 0x7B3475E4,
+    0x22847DDF, 0x7B420D7A,
+    0x225413F8, 0x7B4F920E,
+    0x2223A4C5, 0x7B5D039D,
+    0x21F3304E, 0x7B6A6227,
+    0x21C2B69C, 0x7B77ADA8,
+    0x219237B4, 0x7B84E61E,
+    0x2161B39F, 0x7B920B89,
+    0x21312A65, 0x7B9F1DE5,
+    0x21009C0B, 0x7BAC1D31,
+    0x20D0089B, 0x7BB9096A,
+    0x209F701C, 0x7BC5E28F,
+    0x206ED295, 0x7BD2A89E,
+    0x203E300D, 0x7BDF5B94,
+    0x200D888C, 0x7BEBFB70,
+    0x1FDCDC1A, 0x7BF88830,
+    0x1FAC2ABF, 0x7C0501D1,
+    0x1F7B7480, 0x7C116853,
+    0x1F4AB967, 0x7C1DBBB2,
+    0x1F19F97B, 0x7C29FBEE,
+    0x1EE934C2, 0x7C362904,
+    0x1EB86B46, 0x7C4242F2,
+    0x1E879D0C, 0x7C4E49B6,
+    0x1E56CA1E, 0x7C5A3D4F,
+    0x1E25F281, 0x7C661DBB,
+    0x1DF5163F, 0x7C71EAF8,
+    0x1DC4355D, 0x7C7DA504,
+    0x1D934FE5, 0x7C894BDD,
+    0x1D6265DD, 0x7C94DF82,
+    0x1D31774D, 0x7CA05FF1,
+    0x1D00843C, 0x7CABCD27,
+    0x1CCF8CB3, 0x7CB72724,
+    0x1C9E90B8, 0x7CC26DE5,
+    0x1C6D9053, 0x7CCDA168,
+    0x1C3C8B8C, 0x7CD8C1AD,
+    0x1C0B826A, 0x7CE3CEB1,
+    0x1BDA74F5, 0x7CEEC873,
+    0x1BA96334, 0x7CF9AEF0,
+    0x1B784D30, 0x7D048228,
+    0x1B4732EF, 0x7D0F4218,
+    0x1B161479, 0x7D19EEBE,
+    0x1AE4F1D6, 0x7D24881A,
+    0x1AB3CB0C, 0x7D2F0E2A,
+    0x1A82A025, 0x7D3980EC,
+    0x1A517127, 0x7D43E05E,
+    0x1A203E1B, 0x7D4E2C7E,
+    0x19EF0706, 0x7D58654C,
+    0x19BDCBF2, 0x7D628AC5,
+    0x198C8CE6, 0x7D6C9CE9,
+    0x195B49E9, 0x7D769BB5,
+    0x192A0303, 0x7D808727,
+    0x18F8B83C, 0x7D8A5F3F,
+    0x18C7699B, 0x7D9423FB,
+    0x18961727, 0x7D9DD55A,
+    0x1864C0E9, 0x7DA77359,
+    0x183366E8, 0x7DB0FDF7,
+    0x1802092C, 0x7DBA7534,
+    0x17D0A7BB, 0x7DC3D90D,
+    0x179F429F, 0x7DCD2981,
+    0x176DD9DE, 0x7DD6668E,
+    0x173C6D80, 0x7DDF9034,
+    0x170AFD8D, 0x7DE8A670,
+    0x16D98A0C, 0x7DF1A942,
+    0x16A81305, 0x7DFA98A7,
+    0x1676987F, 0x7E03749F,
+    0x16451A83, 0x7E0C3D29,
+    0x16139917, 0x7E14F242,
+    0x15E21444, 0x7E1D93E9,
+    0x15B08C11, 0x7E26221E,
+    0x157F0086, 0x7E2E9CDF,
+    0x154D71AA, 0x7E37042A,
+    0x151BDF85, 0x7E3F57FE,
+    0x14EA4A1F, 0x7E47985B,
+    0x14B8B17F, 0x7E4FC53E,
+    0x148715AD, 0x7E57DEA6,
+    0x145576B1, 0x7E5FE493,
+    0x1423D492, 0x7E67D702,
+    0x13F22F57, 0x7E6FB5F3,
+    0x13C0870A, 0x7E778165,
+    0x138EDBB0, 0x7E7F3956,
+    0x135D2D53, 0x7E86DDC5,
+    0x132B7BF9, 0x7E8E6EB1,
+    0x12F9C7AA, 0x7E95EC19,
+    0x12C8106E, 0x7E9D55FC,
+    0x1296564D, 0x7EA4AC58,
+    0x1264994E, 0x7EABEF2C,
+    0x1232D978, 0x7EB31E77,
+    0x120116D4, 0x7EBA3A39,
+    0x11CF516A, 0x7EC1426F,
+    0x119D8940, 0x7EC8371A,
+    0x116BBE5F, 0x7ECF1837,
+    0x1139F0CE, 0x7ED5E5C6,
+    0x11082096, 0x7EDC9FC6,
+    0x10D64DBC, 0x7EE34635,
+    0x10A4784A, 0x7EE9D913,
+    0x1072A047, 0x7EF0585F,
+    0x1040C5BB, 0x7EF6C418,
+    0x100EE8AD, 0x7EFD1C3C,
+    0x0FDD0925, 0x7F0360CB,
+    0x0FAB272B, 0x7F0991C3,
+    0x0F7942C6, 0x7F0FAF24,
+    0x0F475BFE, 0x7F15B8EE,
+    0x0F1572DC, 0x7F1BAF1E,
+    0x0EE38765, 0x7F2191B4,
+    0x0EB199A3, 0x7F2760AF,
+    0x0E7FA99D, 0x7F2D1C0E,
+    0x0E4DB75B, 0x7F32C3D0,
+    0x0E1BC2E3, 0x7F3857F5,
+    0x0DE9CC3F, 0x7F3DD87C,
+    0x0DB7D376, 0x7F434563,
+    0x0D85D88F, 0x7F489EAA,
+    0x0D53DB92, 0x7F4DE450,
+    0x0D21DC87, 0x7F531654,
+    0x0CEFDB75, 0x7F5834B6,
+    0x0CBDD865, 0x7F5D3F75,
+    0x0C8BD35E, 0x7F62368F,
+    0x0C59CC67, 0x7F671A04,
+    0x0C27C389, 0x7F6BE9D4,
+    0x0BF5B8CB, 0x7F70A5FD,
+    0x0BC3AC35, 0x7F754E7F,
+    0x0B919DCE, 0x7F79E35A,
+    0x0B5F8D9F, 0x7F7E648B,
+    0x0B2D7BAE, 0x7F82D214,
+    0x0AFB6805, 0x7F872BF3,
+    0x0AC952AA, 0x7F8B7226,
+    0x0A973BA5, 0x7F8FA4AF,
+    0x0A6522FE, 0x7F93C38C,
+    0x0A3308BC, 0x7F97CEBC,
+    0x0A00ECE8, 0x7F9BC63F,
+    0x09CECF89, 0x7F9FAA15,
+    0x099CB0A7, 0x7FA37A3C,
+    0x096A9049, 0x7FA736B4,
+    0x09386E77, 0x7FAADF7C,
+    0x09064B3A, 0x7FAE7494,
+    0x08D42698, 0x7FB1F5FC,
+    0x08A2009A, 0x7FB563B2,
+    0x086FD947, 0x7FB8BDB7,
+    0x083DB0A7, 0x7FBC040A,
+    0x080B86C1, 0x7FBF36A9,
+    0x07D95B9E, 0x7FC25596,
+    0x07A72F45, 0x7FC560CF,
+    0x077501BE, 0x7FC85853,
+    0x0742D310, 0x7FCB3C23,
+    0x0710A344, 0x7FCE0C3E,
+    0x06DE7261, 0x7FD0C8A3,
+    0x06AC406F, 0x7FD37152,
+    0x067A0D75, 0x7FD6064B,
+    0x0647D97C, 0x7FD8878D,
+    0x0615A48A, 0x7FDAF518,
+    0x05E36EA9, 0x7FDD4EEC,
+    0x05B137DF, 0x7FDF9508,
+    0x057F0034, 0x7FE1C76B,
+    0x054CC7B0, 0x7FE3E616,
+    0x051A8E5C, 0x7FE5F108,
+    0x04E8543D, 0x7FE7E840,
+    0x04B6195D, 0x7FE9CBC0,
+    0x0483DDC3, 0x7FEB9B85,
+    0x0451A176, 0x7FED5790,
+    0x041F647F, 0x7FEEFFE1,
+    0x03ED26E6, 0x7FF09477,
+    0x03BAE8B1, 0x7FF21553,
+    0x0388A9E9, 0x7FF38273,
+    0x03566A96, 0x7FF4DBD8,
+    0x03242ABF, 0x7FF62182,
+    0x02F1EA6B, 0x7FF7536F,
+    0x02BFA9A4, 0x7FF871A1,
+    0x028D6870, 0x7FF97C17,
+    0x025B26D7, 0x7FFA72D1,
+    0x0228E4E1, 0x7FFB55CE,
+    0x01F6A296, 0x7FFC250F,
+    0x01C45FFE, 0x7FFCE093,
+    0x01921D1F, 0x7FFD885A,
+    0x015FDA03, 0x7FFE1C64,
+    0x012D96B0, 0x7FFE9CB2,
+    0x00FB532F, 0x7FFF0942,
+    0x00C90F88, 0x7FFF6216,
+    0x0096CBC1, 0x7FFFA72C,
+    0x006487E3, 0x7FFFD885,
+    0x003243F5, 0x7FFFF621,
+    0x00000000, 0x7FFFFFFF,
+    0xFFCDBC0A, 0x7FFFF621,
+    0xFF9B781D, 0x7FFFD885,
+    0xFF69343E, 0x7FFFA72C,
+    0xFF36F078, 0x7FFF6216,
+    0xFF04ACD0, 0x7FFF0942,
+    0xFED2694F, 0x7FFE9CB2,
+    0xFEA025FC, 0x7FFE1C64,
+    0xFE6DE2E0, 0x7FFD885A,
+    0xFE3BA001, 0x7FFCE093,
+    0xFE095D69, 0x7FFC250F,
+    0xFDD71B1E, 0x7FFB55CE,
+    0xFDA4D928, 0x7FFA72D1,
+    0xFD72978F, 0x7FF97C17,
+    0xFD40565B, 0x7FF871A1,
+    0xFD0E1594, 0x7FF7536F,
+    0xFCDBD541, 0x7FF62182,
+    0xFCA99569, 0x7FF4DBD8,
+    0xFC775616, 0x7FF38273,
+    0xFC45174E, 0x7FF21553,
+    0xFC12D919, 0x7FF09477,
+    0xFBE09B80, 0x7FEEFFE1,
+    0xFBAE5E89, 0x7FED5790,
+    0xFB7C223C, 0x7FEB9B85,
+    0xFB49E6A2, 0x7FE9CBC0,
+    0xFB17ABC2, 0x7FE7E840,
+    0xFAE571A4, 0x7FE5F108,
+    0xFAB3384F, 0x7FE3E616,
+    0xFA80FFCB, 0x7FE1C76B,
+    0xFA4EC820, 0x7FDF9508,
+    0xFA1C9156, 0x7FDD4EEC,
+    0xF9EA5B75, 0x7FDAF518,
+    0xF9B82683, 0x7FD8878D,
+    0xF985F28A, 0x7FD6064B,
+    0xF953BF90, 0x7FD37152,
+    0xF9218D9E, 0x7FD0C8A3,
+    0xF8EF5CBB, 0x7FCE0C3E,
+    0xF8BD2CEF, 0x7FCB3C23,
+    0xF88AFE41, 0x7FC85853,
+    0xF858D0BA, 0x7FC560CF,
+    0xF826A461, 0x7FC25596,
+    0xF7F4793E, 0x7FBF36A9,
+    0xF7C24F58, 0x7FBC040A,
+    0xF79026B8, 0x7FB8BDB7,
+    0xF75DFF65, 0x7FB563B2,
+    0xF72BD967, 0x7FB1F5FC,
+    0xF6F9B4C5, 0x7FAE7494,
+    0xF6C79188, 0x7FAADF7C,
+    0xF6956FB6, 0x7FA736B4,
+    0xF6634F58, 0x7FA37A3C,
+    0xF6313076, 0x7F9FAA15,
+    0xF5FF1317, 0x7F9BC63F,
+    0xF5CCF743, 0x7F97CEBC,
+    0xF59ADD01, 0x7F93C38C,
+    0xF568C45A, 0x7F8FA4AF,
+    0xF536AD55, 0x7F8B7226,
+    0xF50497FA, 0x7F872BF3,
+    0xF4D28451, 0x7F82D214,
+    0xF4A07260, 0x7F7E648B,
+    0xF46E6231, 0x7F79E35A,
+    0xF43C53CA, 0x7F754E7F,
+    0xF40A4734, 0x7F70A5FD,
+    0xF3D83C76, 0x7F6BE9D4,
+    0xF3A63398, 0x7F671A04,
+    0xF3742CA1, 0x7F62368F,
+    0xF342279A, 0x7F5D3F75,
+    0xF310248A, 0x7F5834B6,
+    0xF2DE2378, 0x7F531654,
+    0xF2AC246D, 0x7F4DE450,
+    0xF27A2770, 0x7F489EAA,
+    0xF2482C89, 0x7F434563,
+    0xF21633C0, 0x7F3DD87C,
+    0xF1E43D1C, 0x7F3857F5,
+    0xF1B248A5, 0x7F32C3D0,
+    0xF1805662, 0x7F2D1C0E,
+    0xF14E665C, 0x7F2760AF,
+    0xF11C789A, 0x7F2191B4,
+    0xF0EA8D23, 0x7F1BAF1E,
+    0xF0B8A401, 0x7F15B8EE,
+    0xF086BD39, 0x7F0FAF24,
+    0xF054D8D4, 0x7F0991C3,
+    0xF022F6DA, 0x7F0360CB,
+    0xEFF11752, 0x7EFD1C3C,
+    0xEFBF3A44, 0x7EF6C418,
+    0xEF8D5FB8, 0x7EF0585F,
+    0xEF5B87B5, 0x7EE9D913,
+    0xEF29B243, 0x7EE34635,
+    0xEEF7DF6A, 0x7EDC9FC6,
+    0xEEC60F31, 0x7ED5E5C6,
+    0xEE9441A0, 0x7ECF1837,
+    0xEE6276BF, 0x7EC8371A,
+    0xEE30AE95, 0x7EC1426F,
+    0xEDFEE92B, 0x7EBA3A39,
+    0xEDCD2687, 0x7EB31E77,
+    0xED9B66B2, 0x7EABEF2C,
+    0xED69A9B2, 0x7EA4AC58,
+    0xED37EF91, 0x7E9D55FC,
+    0xED063855, 0x7E95EC19,
+    0xECD48406, 0x7E8E6EB1,
+    0xECA2D2AC, 0x7E86DDC5,
+    0xEC71244F, 0x7E7F3956,
+    0xEC3F78F5, 0x7E778165,
+    0xEC0DD0A8, 0x7E6FB5F3,
+    0xEBDC2B6D, 0x7E67D702,
+    0xEBAA894E, 0x7E5FE493,
+    0xEB78EA52, 0x7E57DEA6,
+    0xEB474E80, 0x7E4FC53E,
+    0xEB15B5E0, 0x7E47985B,
+    0xEAE4207A, 0x7E3F57FE,
+    0xEAB28E55, 0x7E37042A,
+    0xEA80FF79, 0x7E2E9CDF,
+    0xEA4F73EE, 0x7E26221E,
+    0xEA1DEBBB, 0x7E1D93E9,
+    0xE9EC66E8, 0x7E14F242,
+    0xE9BAE57C, 0x7E0C3D29,
+    0xE9896780, 0x7E03749F,
+    0xE957ECFB, 0x7DFA98A7,
+    0xE92675F4, 0x7DF1A942,
+    0xE8F50273, 0x7DE8A670,
+    0xE8C3927F, 0x7DDF9034,
+    0xE8922621, 0x7DD6668E,
+    0xE860BD60, 0x7DCD2981,
+    0xE82F5844, 0x7DC3D90D,
+    0xE7FDF6D3, 0x7DBA7534,
+    0xE7CC9917, 0x7DB0FDF7,
+    0xE79B3F16, 0x7DA77359,
+    0xE769E8D8, 0x7D9DD55A,
+    0xE7389664, 0x7D9423FB,
+    0xE70747C3, 0x7D8A5F3F,
+    0xE6D5FCFC, 0x7D808727,
+    0xE6A4B616, 0x7D769BB5,
+    0xE6737319, 0x7D6C9CE9,
+    0xE642340D, 0x7D628AC5,
+    0xE610F8F9, 0x7D58654C,
+    0xE5DFC1E4, 0x7D4E2C7E,
+    0xE5AE8ED8, 0x7D43E05E,
+    0xE57D5FDA, 0x7D3980EC,
+    0xE54C34F3, 0x7D2F0E2A,
+    0xE51B0E2A, 0x7D24881A,
+    0xE4E9EB86, 0x7D19EEBE,
+    0xE4B8CD10, 0x7D0F4218,
+    0xE487B2CF, 0x7D048228,
+    0xE4569CCB, 0x7CF9AEF0,
+    0xE4258B0A, 0x7CEEC873,
+    0xE3F47D95, 0x7CE3CEB1,
+    0xE3C37473, 0x7CD8C1AD,
+    0xE3926FAC, 0x7CCDA168,
+    0xE3616F47, 0x7CC26DE5,
+    0xE330734C, 0x7CB72724,
+    0xE2FF7BC3, 0x7CABCD27,
+    0xE2CE88B2, 0x7CA05FF1,
+    0xE29D9A22, 0x7C94DF82,
+    0xE26CB01A, 0x7C894BDD,
+    0xE23BCAA2, 0x7C7DA504,
+    0xE20AE9C1, 0x7C71EAF8,
+    0xE1DA0D7E, 0x7C661DBB,
+    0xE1A935E1, 0x7C5A3D4F,
+    0xE17862F3, 0x7C4E49B6,
+    0xE14794B9, 0x7C4242F2,
+    0xE116CB3D, 0x7C362904,
+    0xE0E60684, 0x7C29FBEE,
+    0xE0B54698, 0x7C1DBBB2,
+    0xE0848B7F, 0x7C116853,
+    0xE053D541, 0x7C0501D1,
+    0xE02323E5, 0x7BF88830,
+    0xDFF27773, 0x7BEBFB70,
+    0xDFC1CFF2, 0x7BDF5B94,
+    0xDF912D6A, 0x7BD2A89E,
+    0xDF608FE3, 0x7BC5E28F,
+    0xDF2FF764, 0x7BB9096A,
+    0xDEFF63F4, 0x7BAC1D31,
+    0xDECED59B, 0x7B9F1DE5,
+    0xDE9E4C60, 0x7B920B89,
+    0xDE6DC84B, 0x7B84E61E,
+    0xDE3D4963, 0x7B77ADA8,
+    0xDE0CCFB1, 0x7B6A6227,
+    0xDDDC5B3A, 0x7B5D039D,
+    0xDDABEC07, 0x7B4F920E,
+    0xDD7B8220, 0x7B420D7A,
+    0xDD4B1D8B, 0x7B3475E4,
+    0xDD1ABE51, 0x7B26CB4F,
+    0xDCEA6478, 0x7B190DBB,
+    0xDCBA1008, 0x7B0B3D2C,
+    0xDC89C108, 0x7AFD59A3,
+    0xDC597781, 0x7AEF6323,
+    0xDC293379, 0x7AE159AE,
+    0xDBF8F4F8, 0x7AD33D45,
+    0xDBC8BC05, 0x7AC50DEB,
+    0xDB9888A8, 0x7AB6CBA3,
+    0xDB685AE8, 0x7AA8766E,
+    0xDB3832CD, 0x7A9A0E4F,
+    0xDB08105E, 0x7A8B9348,
+    0xDAD7F3A2, 0x7A7D055B,
+    0xDAA7DCA1, 0x7A6E648A,
+    0xDA77CB62, 0x7A5FB0D8,
+    0xDA47BFED, 0x7A50EA46,
+    0xDA17BA4A, 0x7A4210D8,
+    0xD9E7BA7E, 0x7A33248F,
+    0xD9B7C093, 0x7A24256E,
+    0xD987CC8F, 0x7A151377,
+    0xD957DE7A, 0x7A05EEAD,
+    0xD927F65B, 0x79F6B711,
+    0xD8F81439, 0x79E76CA6,
+    0xD8C8381C, 0x79D80F6F,
+    0xD898620C, 0x79C89F6D,
+    0xD868920F, 0x79B91CA4,
+    0xD838C82D, 0x79A98715,
+    0xD809046D, 0x7999DEC3,
+    0xD7D946D7, 0x798A23B1,
+    0xD7A98F73, 0x797A55E0,
+    0xD779DE46, 0x796A7554,
+    0xD74A335A, 0x795A820E,
+    0xD71A8EB5, 0x794A7C11,
+    0xD6EAF05E, 0x793A6360,
+    0xD6BB585D, 0x792A37FE,
+    0xD68BC6BA, 0x7919F9EB,
+    0xD65C3B7B, 0x7909A92C,
+    0xD62CB6A7, 0x78F945C3,
+    0xD5FD3847, 0x78E8CFB1,
+    0xD5CDC062, 0x78D846FB,
+    0xD59E4EFE, 0x78C7ABA1,
+    0xD56EE424, 0x78B6FDA8,
+    0xD53F7FDA, 0x78A63D10,
+    0xD5102227, 0x789569DE,
+    0xD4E0CB14, 0x78848413,
+    0xD4B17AA7, 0x78738BB3,
+    0xD48230E8, 0x786280BF,
+    0xD452EDDE, 0x7851633B,
+    0xD423B190, 0x78403328,
+    0xD3F47C06, 0x782EF08B,
+    0xD3C54D46, 0x781D9B64,
+    0xD3962559, 0x780C33B8,
+    0xD3670445, 0x77FAB988,
+    0xD337EA12, 0x77E92CD8,
+    0xD308D6C6, 0x77D78DAA,
+    0xD2D9CA6A, 0x77C5DC01,
+    0xD2AAC504, 0x77B417DF,
+    0xD27BC69C, 0x77A24148,
+    0xD24CCF38, 0x7790583D,
+    0xD21DDEE1, 0x777E5CC3,
+    0xD1EEF59E, 0x776C4EDB,
+    0xD1C01374, 0x775A2E88,
+    0xD191386D, 0x7747FBCE,
+    0xD162648F, 0x7735B6AE,
+    0xD13397E1, 0x77235F2D,
+    0xD104D26B, 0x7710F54B,
+    0xD0D61433, 0x76FE790E,
+    0xD0A75D42, 0x76EBEA77,
+    0xD078AD9D, 0x76D94988,
+    0xD04A054D, 0x76C69646,
+    0xD01B6459, 0x76B3D0B3,
+    0xCFECCAC7, 0x76A0F8D2,
+    0xCFBE389F, 0x768E0EA5,
+    0xCF8FADE8, 0x767B1230,
+    0xCF612AAA, 0x76680376,
+    0xCF32AEEB, 0x7654E279,
+    0xCF043AB2, 0x7641AF3C,
+    0xCED5CE08, 0x762E69C3,
+    0xCEA768F2, 0x761B1211,
+    0xCE790B78, 0x7607A827,
+    0xCE4AB5A2, 0x75F42C0A,
+    0xCE1C6776, 0x75E09DBD,
+    0xCDEE20FC, 0x75CCFD42,
+    0xCDBFE23A, 0x75B94A9C,
+    0xCD91AB38, 0x75A585CF,
+    0xCD637BFD, 0x7591AEDD,
+    0xCD355490, 0x757DC5CA,
+    0xCD0734F8, 0x7569CA98,
+    0xCCD91D3D, 0x7555BD4B,
+    0xCCAB0D65, 0x75419DE6,
+    0xCC7D0577, 0x752D6C6C,
+    0xCC4F057B, 0x751928E0,
+    0xCC210D78, 0x7504D345,
+    0xCBF31D75, 0x74F06B9E,
+    0xCBC53578, 0x74DBF1EF,
+    0xCB975589, 0x74C7663A,
+    0xCB697DB0, 0x74B2C883,
+    0xCB3BADF2, 0x749E18CD,
+    0xCB0DE658, 0x7489571B,
+    0xCAE026E8, 0x74748371,
+    0xCAB26FA9, 0x745F9DD1,
+    0xCA84C0A2, 0x744AA63E,
+    0xCA5719DB, 0x74359CBD,
+    0xCA297B5A, 0x74208150,
+    0xC9FBE527, 0x740B53FA,
+    0xC9CE5748, 0x73F614C0,
+    0xC9A0D1C4, 0x73E0C3A3,
+    0xC97354A3, 0x73CB60A7,
+    0xC945DFEC, 0x73B5EBD0,
+    0xC91873A5, 0x73A06522,
+    0xC8EB0FD6, 0x738ACC9E,
+    0xC8BDB485, 0x73752249,
+    0xC89061BA, 0x735F6626,
+    0xC863177B, 0x73499838,
+    0xC835D5D0, 0x7333B883,
+    0xC8089CBF, 0x731DC709,
+    0xC7DB6C50, 0x7307C3D0,
+    0xC7AE4489, 0x72F1AED8,
+    0xC7812571, 0x72DB8828,
+    0xC7540F10, 0x72C54FC0,
+    0xC727016C, 0x72AF05A6,
+    0xC6F9FC8D, 0x7298A9DC,
+    0xC6CD0079, 0x72823C66,
+    0xC6A00D36, 0x726BBD48,
+    0xC67322CD, 0x72552C84,
+    0xC6464144, 0x723E8A1F,
+    0xC61968A2, 0x7227D61C,
+    0xC5EC98ED, 0x7211107D,
+    0xC5BFD22E, 0x71FA3948,
+    0xC593146A, 0x71E3507F,
+    0xC5665FA8, 0x71CC5626,
+    0xC539B3F0, 0x71B54A40,
+    0xC50D1148, 0x719E2CD2,
+    0xC4E077B8, 0x7186FDDE,
+    0xC4B3E746, 0x716FBD68,
+    0xC4875FF8, 0x71586B73,
+    0xC45AE1D7, 0x71410804,
+    0xC42E6CE8, 0x7129931E,
+    0xC4020132, 0x71120CC5,
+    0xC3D59EBD, 0x70FA74FB,
+    0xC3A9458F, 0x70E2CBC6,
+    0xC37CF5B0, 0x70CB1127,
+    0xC350AF25, 0x70B34524,
+    0xC32471F6, 0x709B67C0,
+    0xC2F83E2A, 0x708378FE,
+    0xC2CC13C7, 0x706B78E3,
+    0xC29FF2D4, 0x70536771,
+    0xC273DB58, 0x703B44AC,
+    0xC247CD5A, 0x70231099,
+    0xC21BC8E0, 0x700ACB3B,
+    0xC1EFCDF2, 0x6FF27496,
+    0xC1C3DC96, 0x6FDA0CAD,
+    0xC197F4D3, 0x6FC19385,
+    0xC16C16B0, 0x6FA90920,
+    0xC1404233, 0x6F906D84,
+    0xC1147763, 0x6F77C0B3,
+    0xC0E8B648, 0x6F5F02B1,
+    0xC0BCFEE7, 0x6F463383,
+    0xC0915147, 0x6F2D532C,
+    0xC065AD70, 0x6F1461AF,
+    0xC03A1368, 0x6EFB5F12,
+    0xC00E8335, 0x6EE24B57,
+    0xBFE2FCDF, 0x6EC92682,
+    0xBFB7806C, 0x6EAFF098,
+    0xBF8C0DE2, 0x6E96A99C,
+    0xBF60A54A, 0x6E7D5193,
+    0xBF3546A8, 0x6E63E87F,
+    0xBF09F204, 0x6E4A6E65,
+    0xBEDEA765, 0x6E30E349,
+    0xBEB366D1, 0x6E17472F,
+    0xBE88304F, 0x6DFD9A1B,
+    0xBE5D03E5, 0x6DE3DC11,
+    0xBE31E19B, 0x6DCA0D14,
+    0xBE06C977, 0x6DB02D29,
+    0xBDDBBB7F, 0x6D963C54,
+    0xBDB0B7BA, 0x6D7C3A98,
+    0xBD85BE2F, 0x6D6227FA,
+    0xBD5ACEE5, 0x6D48047E,
+    0xBD2FE9E1, 0x6D2DD027,
+    0xBD050F2C, 0x6D138AFA,
+    0xBCDA3ECA, 0x6CF934FB,
+    0xBCAF78C3, 0x6CDECE2E,
+    0xBC84BD1E, 0x6CC45697,
+    0xBC5A0BE1, 0x6CA9CE3A,
+    0xBC2F6513, 0x6C8F351C,
+    0xBC04C8BA, 0x6C748B3F,
+    0xBBDA36DC, 0x6C59D0A9,
+    0xBBAFAF81, 0x6C3F055D,
+    0xBB8532AF, 0x6C242960,
+    0xBB5AC06C, 0x6C093CB6,
+    0xBB3058C0, 0x6BEE3F62,
+    0xBB05FBB0, 0x6BD3316A,
+    0xBADBA943, 0x6BB812D0,
+    0xBAB1617F, 0x6B9CE39B,
+    0xBA87246C, 0x6B81A3CD,
+    0xBA5CF210, 0x6B66536A,
+    0xBA32CA70, 0x6B4AF278,
+    0xBA08AD94, 0x6B2F80FA,
+    0xB9DE9B83, 0x6B13FEF5,
+    0xB9B49442, 0x6AF86C6C,
+    0xB98A97D8, 0x6ADCC964,
+    0xB960A64B, 0x6AC115E1,
+    0xB936BFA3, 0x6AA551E8,
+    0xB90CE3E6, 0x6A897D7D,
+    0xB8E31319, 0x6A6D98A4,
+    0xB8B94D44, 0x6A51A361,
+    0xB88F926C, 0x6A359DB9,
+    0xB865E299, 0x6A1987B0,
+    0xB83C3DD1, 0x69FD614A,
+    0xB812A419, 0x69E12A8C,
+    0xB7E9157A, 0x69C4E37A,
+    0xB7BF91F8, 0x69A88C18,
+    0xB796199B, 0x698C246C,
+    0xB76CAC68, 0x696FAC78,
+    0xB7434A67, 0x69532442,
+    0xB719F39D, 0x69368BCE,
+    0xB6F0A811, 0x6919E320,
+    0xB6C767CA, 0x68FD2A3D,
+    0xB69E32CD, 0x68E06129,
+    0xB6750921, 0x68C387E9,
+    0xB64BEACC, 0x68A69E81,
+    0xB622D7D5, 0x6889A4F5,
+    0xB5F9D042, 0x686C9B4B,
+    0xB5D0D41A, 0x684F8186,
+    0xB5A7E362, 0x683257AA,
+    0xB57EFE21, 0x68151DBE,
+    0xB556245E, 0x67F7D3C4,
+    0xB52D561E, 0x67DA79C2,
+    0xB5049368, 0x67BD0FBC,
+    0xB4DBDC42, 0x679F95B7,
+    0xB4B330B2, 0x67820BB6,
+    0xB48A90C0, 0x676471C0,
+    0xB461FC70, 0x6746C7D7,
+    0xB43973C9, 0x67290E02,
+    0xB410F6D2, 0x670B4443,
+    0xB3E88591, 0x66ED6AA1,
+    0xB3C0200C, 0x66CF811F,
+    0xB397C649, 0x66B187C3,
+    0xB36F784E, 0x66937E90,
+    0xB3473622, 0x6675658C,
+    0xB31EFFCB, 0x66573CBB,
+    0xB2F6D54F, 0x66390422,
+    0xB2CEB6B5, 0x661ABBC5,
+    0xB2A6A401, 0x65FC63A9,
+    0xB27E9D3B, 0x65DDFBD3,
+    0xB256A26A, 0x65BF8447,
+    0xB22EB392, 0x65A0FD0B,
+    0xB206D0BA, 0x65826622,
+    0xB1DEF9E8, 0x6563BF92,
+    0xB1B72F23, 0x6545095F,
+    0xB18F7070, 0x6526438E,
+    0xB167BDD6, 0x65076E24,
+    0xB140175B, 0x64E88926,
+    0xB1187D05, 0x64C99498,
+    0xB0F0EEDA, 0x64AA907F,
+    0xB0C96CDF, 0x648B7CDF,
+    0xB0A1F71C, 0x646C59BF,
+    0xB07A8D97, 0x644D2722,
+    0xB0533055, 0x642DE50D,
+    0xB02BDF5C, 0x640E9385,
+    0xB0049AB2, 0x63EF328F,
+    0xAFDD625F, 0x63CFC230,
+    0xAFB63667, 0x63B0426D,
+    0xAF8F16D0, 0x6390B34A,
+    0xAF6803A1, 0x637114CC,
+    0xAF40FCE0, 0x635166F8,
+    0xAF1A0293, 0x6331A9D4,
+    0xAEF314BF, 0x6311DD63,
+    0xAECC336B, 0x62F201AC,
+    0xAEA55E9D, 0x62D216B2,
+    0xAE7E965B, 0x62B21C7B,
+    0xAE57DAAA, 0x6292130C,
+    0xAE312B91, 0x6271FA69,
+    0xAE0A8916, 0x6251D297,
+    0xADE3F33E, 0x62319B9D,
+    0xADBD6A10, 0x6211557D,
+    0xAD96ED91, 0x61F1003E,
+    0xAD707DC8, 0x61D09BE5,
+    0xAD4A1ABA, 0x61B02876,
+    0xAD23C46D, 0x618FA5F6,
+    0xACFD7AE8, 0x616F146B,
+    0xACD73E30, 0x614E73D9,
+    0xACB10E4A, 0x612DC446,
+    0xAC8AEB3E, 0x610D05B7,
+    0xAC64D510, 0x60EC3830,
+    0xAC3ECBC7, 0x60CB5BB6,
+    0xAC18CF68, 0x60AA704F,
+    0xABF2DFFA, 0x60897600,
+    0xABCCFD82, 0x60686CCE,
+    0xABA72806, 0x604754BE,
+    0xAB815F8C, 0x60262DD5,
+    0xAB5BA41A, 0x6004F818,
+    0xAB35F5B5, 0x5FE3B38D,
+    0xAB105464, 0x5FC26038,
+    0xAAEAC02B, 0x5FA0FE1E,
+    0xAAC53912, 0x5F7F8D46,
+    0xAA9FBF1D, 0x5F5E0DB3,
+    0xAA7A5253, 0x5F3C7F6B,
+    0xAA54F2B9, 0x5F1AE273,
+    0xAA2FA055, 0x5EF936D1,
+    0xAA0A5B2D, 0x5ED77C89,
+    0xA9E52347, 0x5EB5B3A1,
+    0xA9BFF8A8, 0x5E93DC1F,
+    0xA99ADB56, 0x5E71F606,
+    0xA975CB56, 0x5E50015D,
+    0xA950C8AF, 0x5E2DFE28,
+    0xA92BD366, 0x5E0BEC6E,
+    0xA906EB81, 0x5DE9CC32,
+    0xA8E21106, 0x5DC79D7C,
+    0xA8BD43FA, 0x5DA5604E,
+    0xA8988463, 0x5D8314B0,
+    0xA873D246, 0x5D60BAA6,
+    0xA84F2DA9, 0x5D3E5236,
+    0xA82A9693, 0x5D1BDB65,
+    0xA8060D08, 0x5CF95638,
+    0xA7E1910E, 0x5CD6C2B4,
+    0xA7BD22AB, 0x5CB420DF,
+    0xA798C1E4, 0x5C9170BF,
+    0xA7746EC0, 0x5C6EB258,
+    0xA7502943, 0x5C4BE5B0,
+    0xA72BF173, 0x5C290ACC,
+    0xA707C756, 0x5C0621B2,
+    0xA6E3AAF2, 0x5BE32A67,
+    0xA6BF9C4B, 0x5BC024F0,
+    0xA69B9B68, 0x5B9D1153,
+    0xA677A84E, 0x5B79EF96,
+    0xA653C302, 0x5B56BFBD,
+    0xA62FEB8B, 0x5B3381CE,
+    0xA60C21ED, 0x5B1035CF,
+    0xA5E8662F, 0x5AECDBC4,
+    0xA5C4B855, 0x5AC973B4,
+    0xA5A11865, 0x5AA5FDA4,
+    0xA57D8666, 0x5A82799A,
+    0xA55A025B, 0x5A5EE79A,
+    0xA5368C4B, 0x5A3B47AA,
+    0xA513243B, 0x5A1799D0,
+    0xA4EFCA31, 0x59F3DE12,
+    0xA4CC7E31, 0x59D01474,
+    0xA4A94042, 0x59AC3CFD,
+    0xA4861069, 0x598857B1,
+    0xA462EEAC, 0x59646497,
+    0xA43FDB0F, 0x594063B4,
+    0xA41CD598, 0x591C550E,
+    0xA3F9DE4D, 0x58F838A9,
+    0xA3D6F533, 0x58D40E8C,
+    0xA3B41A4F, 0x58AFD6BC,
+    0xA3914DA7, 0x588B913F,
+    0xA36E8F40, 0x58673E1B,
+    0xA34BDF20, 0x5842DD54,
+    0xA3293D4B, 0x581E6EF1,
+    0xA306A9C7, 0x57F9F2F7,
+    0xA2E4249A, 0x57D5696C,
+    0xA2C1ADC9, 0x57B0D256,
+    0xA29F4559, 0x578C2DB9,
+    0xA27CEB4F, 0x57677B9D,
+    0xA25A9FB1, 0x5742BC05,
+    0xA2386283, 0x571DEEF9,
+    0xA21633CD, 0x56F9147E,
+    0xA1F41391, 0x56D42C99,
+    0xA1D201D7, 0x56AF3750,
+    0xA1AFFEA2, 0x568A34A9,
+    0xA18E09F9, 0x566524AA,
+    0xA16C23E1, 0x56400757,
+    0xA14A4C5E, 0x561ADCB8,
+    0xA1288376, 0x55F5A4D2,
+    0xA106C92E, 0x55D05FAA,
+    0xA0E51D8C, 0x55AB0D46,
+    0xA0C38094, 0x5585ADAC,
+    0xA0A1F24C, 0x556040E2,
+    0xA08072BA, 0x553AC6ED,
+    0xA05F01E1, 0x55153FD4,
+    0xA03D9FC7, 0x54EFAB9C,
+    0xA01C4C72, 0x54CA0A4A,
+    0x9FFB07E7, 0x54A45BE5,
+    0x9FD9D22A, 0x547EA073,
+    0x9FB8AB41, 0x5458D7F9,
+    0x9F979331, 0x5433027D,
+    0x9F7689FF, 0x540D2005,
+    0x9F558FB0, 0x53E73097,
+    0x9F34A449, 0x53C13438,
+    0x9F13C7D0, 0x539B2AEF,
+    0x9EF2FA48, 0x537514C1,
+    0x9ED23BB9, 0x534EF1B5,
+    0x9EB18C26, 0x5328C1D0,
+    0x9E90EB94, 0x53028517,
+    0x9E705A09, 0x52DC3B92,
+    0x9E4FD789, 0x52B5E545,
+    0x9E2F641A, 0x528F8237,
+    0x9E0EFFC1, 0x5269126E,
+    0x9DEEAA82, 0x524295EF,
+    0x9DCE6462, 0x521C0CC1,
+    0x9DAE2D68, 0x51F576E9,
+    0x9D8E0596, 0x51CED46E,
+    0x9D6DECF4, 0x51A82555,
+    0x9D4DE384, 0x518169A4,
+    0x9D2DE94D, 0x515AA162,
+    0x9D0DFE53, 0x5133CC94,
+    0x9CEE229C, 0x510CEB40,
+    0x9CCE562B, 0x50E5FD6C,
+    0x9CAE9907, 0x50BF031F,
+    0x9C8EEB33, 0x5097FC5E,
+    0x9C6F4CB5, 0x5070E92F,
+    0x9C4FBD92, 0x5049C999,
+    0x9C303DCF, 0x50229DA0,
+    0x9C10CD70, 0x4FFB654D,
+    0x9BF16C7A, 0x4FD420A3,
+    0x9BD21AF2, 0x4FACCFAB,
+    0x9BB2D8DD, 0x4F857268,
+    0x9B93A640, 0x4F5E08E3,
+    0x9B748320, 0x4F369320,
+    0x9B556F80, 0x4F0F1126,
+    0x9B366B67, 0x4EE782FA,
+    0x9B1776D9, 0x4EBFE8A4,
+    0x9AF891DB, 0x4E984229,
+    0x9AD9BC71, 0x4E708F8F,
+    0x9ABAF6A0, 0x4E48D0DC,
+    0x9A9C406D, 0x4E210617,
+    0x9A7D99DD, 0x4DF92F45,
+    0x9A5F02F5, 0x4DD14C6E,
+    0x9A407BB8, 0x4DA95D96,
+    0x9A22042C, 0x4D8162C4,
+    0x9A039C56, 0x4D595BFE,
+    0x99E5443A, 0x4D31494B,
+    0x99C6FBDE, 0x4D092AB0,
+    0x99A8C344, 0x4CE10034,
+    0x998A9A73, 0x4CB8C9DD,
+    0x996C816F, 0x4C9087B1,
+    0x994E783C, 0x4C6839B6,
+    0x99307EE0, 0x4C3FDFF3,
+    0x9912955E, 0x4C177A6E,
+    0x98F4BBBC, 0x4BEF092D,
+    0x98D6F1FE, 0x4BC68C36,
+    0x98B93828, 0x4B9E038F,
+    0x989B8E3F, 0x4B756F3F,
+    0x987DF449, 0x4B4CCF4D,
+    0x98606A48, 0x4B2423BD,
+    0x9842F043, 0x4AFB6C97,
+    0x9825863D, 0x4AD2A9E1,
+    0x98082C3B, 0x4AA9DBA1,
+    0x97EAE241, 0x4A8101DE,
+    0x97CDA855, 0x4A581C9D,
+    0x97B07E7A, 0x4A2F2BE5,
+    0x979364B5, 0x4A062FBD,
+    0x97765B0A, 0x49DD282A,
+    0x9759617E, 0x49B41533,
+    0x973C7816, 0x498AF6DE,
+    0x971F9ED6, 0x4961CD32,
+    0x9702D5C2, 0x49389836,
+    0x96E61CDF, 0x490F57EE,
+    0x96C97431, 0x48E60C62,
+    0x96ACDBBD, 0x48BCB598,
+    0x96905387, 0x48935397,
+    0x9673DB94, 0x4869E664,
+    0x965773E7, 0x48406E07,
+    0x963B1C85, 0x4816EA85,
+    0x961ED573, 0x47ED5BE6,
+    0x96029EB5, 0x47C3C22E,
+    0x95E6784F, 0x479A1D66,
+    0x95CA6246, 0x47706D93,
+    0x95AE5C9E, 0x4746B2BC,
+    0x9592675B, 0x471CECE6,
+    0x95768282, 0x46F31C1A,
+    0x955AAE17, 0x46C9405C,
+    0x953EEA1E, 0x469F59B4,
+    0x9523369B, 0x46756827,
+    0x95079393, 0x464B6BBD,
+    0x94EC010B, 0x4621647C,
+    0x94D07F05, 0x45F7526B,
+    0x94B50D87, 0x45CD358F,
+    0x9499AC95, 0x45A30DF0,
+    0x947E5C32, 0x4578DB93,
+    0x94631C64, 0x454E9E80,
+    0x9447ED2F, 0x452456BC,
+    0x942CCE95, 0x44FA044F,
+    0x9411C09D, 0x44CFA73F,
+    0x93F6C34A, 0x44A53F93,
+    0x93DBD69F, 0x447ACD50,
+    0x93C0FAA2, 0x4450507E,
+    0x93A62F56, 0x4425C923,
+    0x938B74C0, 0x43FB3745,
+    0x9370CAE4, 0x43D09AEC,
+    0x935631C5, 0x43A5F41E,
+    0x933BA968, 0x437B42E1,
+    0x932131D1, 0x4350873C,
+    0x9306CB04, 0x4325C135,
+    0x92EC7505, 0x42FAF0D4,
+    0x92D22FD8, 0x42D0161E,
+    0x92B7FB82, 0x42A5311A,
+    0x929DD805, 0x427A41D0,
+    0x9283C567, 0x424F4845,
+    0x9269C3AC, 0x42244480,
+    0x924FD2D6, 0x41F93688,
+    0x9235F2EB, 0x41CE1E64,
+    0x921C23EE, 0x41A2FC1A,
+    0x920265E4, 0x4177CFB0,
+    0x91E8B8D0, 0x414C992E,
+    0x91CF1CB6, 0x4121589A,
+    0x91B5919A, 0x40F60DFB,
+    0x919C1780, 0x40CAB957,
+    0x9182AE6C, 0x409F5AB6,
+    0x91695663, 0x4073F21D,
+    0x91500F67, 0x40487F93,
+    0x9136D97D, 0x401D0320,
+    0x911DB4A8, 0x3FF17CCA,
+    0x9104A0ED, 0x3FC5EC97,
+    0x90EB9E50, 0x3F9A528F,
+    0x90D2ACD3, 0x3F6EAEB8,
+    0x90B9CC7C, 0x3F430118,
+    0x90A0FD4E, 0x3F1749B7,
+    0x90883F4C, 0x3EEB889C,
+    0x906F927B, 0x3EBFBDCC,
+    0x9056F6DF, 0x3E93E94F,
+    0x903E6C7A, 0x3E680B2C,
+    0x9025F352, 0x3E3C2369,
+    0x900D8B69, 0x3E10320D,
+    0x8FF534C4, 0x3DE4371F,
+    0x8FDCEF66, 0x3DB832A5,
+    0x8FC4BB53, 0x3D8C24A7,
+    0x8FAC988E, 0x3D600D2B,
+    0x8F94871D, 0x3D33EC39,
+    0x8F7C8701, 0x3D07C1D5,
+    0x8F64983F, 0x3CDB8E09,
+    0x8F4CBADB, 0x3CAF50DA,
+    0x8F34EED8, 0x3C830A4F,
+    0x8F1D343A, 0x3C56BA70,
+    0x8F058B04, 0x3C2A6142,
+    0x8EEDF33B, 0x3BFDFECD,
+    0x8ED66CE1, 0x3BD19317,
+    0x8EBEF7FB, 0x3BA51E29,
+    0x8EA7948C, 0x3B78A007,
+    0x8E904298, 0x3B4C18BA,
+    0x8E790222, 0x3B1F8847,
+    0x8E61D32D, 0x3AF2EEB7,
+    0x8E4AB5BF, 0x3AC64C0F,
+    0x8E33A9D9, 0x3A99A057,
+    0x8E1CAF80, 0x3A6CEB95,
+    0x8E05C6B7, 0x3A402DD1,
+    0x8DEEEF82, 0x3A136712,
+    0x8DD829E4, 0x39E6975D,
+    0x8DC175E0, 0x39B9BEBB,
+    0x8DAAD37B, 0x398CDD32,
+    0x8D9442B7, 0x395FF2C9,
+    0x8D7DC399, 0x3932FF87,
+    0x8D675623, 0x39060372,
+    0x8D50FA59, 0x38D8FE93,
+    0x8D3AB03F, 0x38ABF0EF,
+    0x8D2477D8, 0x387EDA8E,
+    0x8D0E5127, 0x3851BB76,
+    0x8CF83C30, 0x382493B0,
+    0x8CE238F6, 0x37F76340,
+    0x8CCC477D, 0x37CA2A30,
+    0x8CB667C7, 0x379CE884,
+    0x8CA099D9, 0x376F9E46,
+    0x8C8ADDB6, 0x37424B7A,
+    0x8C753361, 0x3714F02A,
+    0x8C5F9ADD, 0x36E78C5A,
+    0x8C4A142F, 0x36BA2013,
+    0x8C349F58, 0x368CAB5C,
+    0x8C1F3C5C, 0x365F2E3B,
+    0x8C09EB40, 0x3631A8B7,
+    0x8BF4AC05, 0x36041AD9,
+    0x8BDF7EAF, 0x35D684A5,
+    0x8BCA6342, 0x35A8E624,
+    0x8BB559C1, 0x357B3F5D,
+    0x8BA0622F, 0x354D9056,
+    0x8B8B7C8F, 0x351FD917,
+    0x8B76A8E4, 0x34F219A7,
+    0x8B61E732, 0x34C4520D,
+    0x8B4D377C, 0x3496824F,
+    0x8B3899C5, 0x3468AA76,
+    0x8B240E10, 0x343ACA87,
+    0x8B0F9461, 0x340CE28A,
+    0x8AFB2CBA, 0x33DEF287,
+    0x8AE6D71F, 0x33B0FA84,
+    0x8AD29393, 0x3382FA88,
+    0x8ABE6219, 0x3354F29A,
+    0x8AAA42B4, 0x3326E2C2,
+    0x8A963567, 0x32F8CB07,
+    0x8A823A35, 0x32CAAB6F,
+    0x8A6E5122, 0x329C8402,
+    0x8A5A7A30, 0x326E54C7,
+    0x8A46B563, 0x32401DC5,
+    0x8A3302BD, 0x3211DF03,
+    0x8A1F6242, 0x31E39889,
+    0x8A0BD3F5, 0x31B54A5D,
+    0x89F857D8, 0x3186F487,
+    0x89E4EDEE, 0x3158970D,
+    0x89D1963C, 0x312A31F8,
+    0x89BE50C3, 0x30FBC54D,
+    0x89AB1D86, 0x30CD5114,
+    0x8997FC89, 0x309ED555,
+    0x8984EDCF, 0x30705217,
+    0x8971F15A, 0x3041C760,
+    0x895F072D, 0x30133538,
+    0x894C2F4C, 0x2FE49BA6,
+    0x893969B9, 0x2FB5FAB2,
+    0x8926B677, 0x2F875262,
+    0x89141589, 0x2F58A2BD,
+    0x890186F1, 0x2F29EBCC,
+    0x88EF0AB4, 0x2EFB2D94,
+    0x88DCA0D3, 0x2ECC681E,
+    0x88CA4951, 0x2E9D9B70,
+    0x88B80431, 0x2E6EC792,
+    0x88A5D177, 0x2E3FEC8B,
+    0x8893B124, 0x2E110A62,
+    0x8881A33C, 0x2DE2211E,
+    0x886FA7C2, 0x2DB330C7,
+    0x885DBEB7, 0x2D843963,
+    0x884BE820, 0x2D553AFB,
+    0x883A23FE, 0x2D263595,
+    0x88287255, 0x2CF72939,
+    0x8816D327, 0x2CC815ED,
+    0x88054677, 0x2C98FBBA,
+    0x87F3CC47, 0x2C69DAA6,
+    0x87E2649B, 0x2C3AB2B9,
+    0x87D10F75, 0x2C0B83F9,
+    0x87BFCCD7, 0x2BDC4E6F,
+    0x87AE9CC5, 0x2BAD1221,
+    0x879D7F40, 0x2B7DCF17,
+    0x878C744C, 0x2B4E8558,
+    0x877B7BEC, 0x2B1F34EB,
+    0x876A9621, 0x2AEFDDD8,
+    0x8759C2EF, 0x2AC08025,
+    0x87490257, 0x2A911BDB,
+    0x8738545E, 0x2A61B101,
+    0x8727B904, 0x2A323F9D,
+    0x8717304E, 0x2A02C7B8,
+    0x8706BA3C, 0x29D34958,
+    0x86F656D3, 0x29A3C484,
+    0x86E60614, 0x29743945,
+    0x86D5C802, 0x2944A7A2,
+    0x86C59C9F, 0x29150FA1,
+    0x86B583EE, 0x28E5714A,
+    0x86A57DF1, 0x28B5CCA5,
+    0x86958AAB, 0x288621B9,
+    0x8685AA1F, 0x2856708C,
+    0x8675DC4E, 0x2826B928,
+    0x8666213C, 0x27F6FB92,
+    0x865678EA, 0x27C737D2,
+    0x8646E35B, 0x27976DF1,
+    0x86376092, 0x27679DF4,
+    0x8627F090, 0x2737C7E3,
+    0x86189359, 0x2707EBC6,
+    0x860948EE, 0x26D809A5,
+    0x85FA1152, 0x26A82185,
+    0x85EAEC88, 0x26783370,
+    0x85DBDA91, 0x26483F6C,
+    0x85CCDB70, 0x26184581,
+    0x85BDEF27, 0x25E845B5,
+    0x85AF15B9, 0x25B84012,
+    0x85A04F28, 0x2588349D,
+    0x85919B75, 0x2558235E,
+    0x8582FAA4, 0x25280C5D,
+    0x85746CB7, 0x24F7EFA1,
+    0x8565F1B0, 0x24C7CD32,
+    0x85578991, 0x2497A517,
+    0x8549345C, 0x24677757,
+    0x853AF214, 0x243743FA,
+    0x852CC2BA, 0x24070B07,
+    0x851EA652, 0x23D6CC86,
+    0x85109CDC, 0x23A6887E,
+    0x8502A65C, 0x23763EF7,
+    0x84F4C2D3, 0x2345EFF7,
+    0x84E6F244, 0x23159B87,
+    0x84D934B0, 0x22E541AE,
+    0x84CB8A1B, 0x22B4E274,
+    0x84BDF285, 0x22847DDF,
+    0x84B06DF1, 0x225413F8,
+    0x84A2FC62, 0x2223A4C5,
+    0x84959DD9, 0x21F3304E,
+    0x84885257, 0x21C2B69C,
+    0x847B19E1, 0x219237B4,
+    0x846DF476, 0x2161B39F,
+    0x8460E21A, 0x21312A65,
+    0x8453E2CE, 0x21009C0B,
+    0x8446F695, 0x20D0089B,
+    0x843A1D70, 0x209F701C,
+    0x842D5761, 0x206ED295,
+    0x8420A46B, 0x203E300D,
+    0x8414048F, 0x200D888C,
+    0x840777CF, 0x1FDCDC1A,
+    0x83FAFE2E, 0x1FAC2ABF,
+    0x83EE97AC, 0x1F7B7480,
+    0x83E2444D, 0x1F4AB967,
+    0x83D60411, 0x1F19F97B,
+    0x83C9D6FB, 0x1EE934C2,
+    0x83BDBD0D, 0x1EB86B46,
+    0x83B1B649, 0x1E879D0C,
+    0x83A5C2B0, 0x1E56CA1E,
+    0x8399E244, 0x1E25F281,
+    0x838E1507, 0x1DF5163F,
+    0x83825AFB, 0x1DC4355D,
+    0x8376B422, 0x1D934FE5,
+    0x836B207D, 0x1D6265DD,
+    0x835FA00E, 0x1D31774D,
+    0x835432D8, 0x1D00843C,
+    0x8348D8DB, 0x1CCF8CB3,
+    0x833D921A, 0x1C9E90B8,
+    0x83325E97, 0x1C6D9053,
+    0x83273E52, 0x1C3C8B8C,
+    0x831C314E, 0x1C0B826A,
+    0x8311378C, 0x1BDA74F5,
+    0x8306510F, 0x1BA96334,
+    0x82FB7DD8, 0x1B784D30,
+    0x82F0BDE8, 0x1B4732EF,
+    0x82E61141, 0x1B161479,
+    0x82DB77E5, 0x1AE4F1D6,
+    0x82D0F1D5, 0x1AB3CB0C,
+    0x82C67F13, 0x1A82A025,
+    0x82BC1FA1, 0x1A517127,
+    0x82B1D381, 0x1A203E1B,
+    0x82A79AB3, 0x19EF0706,
+    0x829D753A, 0x19BDCBF2,
+    0x82936316, 0x198C8CE6,
+    0x8289644A, 0x195B49E9,
+    0x827F78D8, 0x192A0303,
+    0x8275A0C0, 0x18F8B83C,
+    0x826BDC04, 0x18C7699B,
+    0x82622AA5, 0x18961727,
+    0x82588CA6, 0x1864C0E9,
+    0x824F0208, 0x183366E8,
+    0x82458ACB, 0x1802092C,
+    0x823C26F2, 0x17D0A7BB,
+    0x8232D67E, 0x179F429F,
+    0x82299971, 0x176DD9DE,
+    0x82206FCB, 0x173C6D80,
+    0x8217598F, 0x170AFD8D,
+    0x820E56BE, 0x16D98A0C,
+    0x82056758, 0x16A81305,
+    0x81FC8B60, 0x1676987F,
+    0x81F3C2D7, 0x16451A83,
+    0x81EB0DBD, 0x16139917,
+    0x81E26C16, 0x15E21444,
+    0x81D9DDE1, 0x15B08C11,
+    0x81D16320, 0x157F0086,
+    0x81C8FBD5, 0x154D71AA,
+    0x81C0A801, 0x151BDF85,
+    0x81B867A4, 0x14EA4A1F,
+    0x81B03AC1, 0x14B8B17F,
+    0x81A82159, 0x148715AD,
+    0x81A01B6C, 0x145576B1,
+    0x819828FD, 0x1423D492,
+    0x81904A0C, 0x13F22F57,
+    0x81887E9A, 0x13C0870A,
+    0x8180C6A9, 0x138EDBB0,
+    0x8179223A, 0x135D2D53,
+    0x8171914E, 0x132B7BF9,
+    0x816A13E6, 0x12F9C7AA,
+    0x8162AA03, 0x12C8106E,
+    0x815B53A8, 0x1296564D,
+    0x815410D3, 0x1264994E,
+    0x814CE188, 0x1232D978,
+    0x8145C5C6, 0x120116D4,
+    0x813EBD90, 0x11CF516A,
+    0x8137C8E6, 0x119D8940,
+    0x8130E7C8, 0x116BBE5F,
+    0x812A1A39, 0x1139F0CE,
+    0x81236039, 0x11082096,
+    0x811CB9CA, 0x10D64DBC,
+    0x811626EC, 0x10A4784A,
+    0x810FA7A0, 0x1072A047,
+    0x81093BE8, 0x1040C5BB,
+    0x8102E3C3, 0x100EE8AD,
+    0x80FC9F35, 0x0FDD0925,
+    0x80F66E3C, 0x0FAB272B,
+    0x80F050DB, 0x0F7942C6,
+    0x80EA4712, 0x0F475BFE,
+    0x80E450E2, 0x0F1572DC,
+    0x80DE6E4C, 0x0EE38765,
+    0x80D89F51, 0x0EB199A3,
+    0x80D2E3F1, 0x0E7FA99D,
+    0x80CD3C2F, 0x0E4DB75B,
+    0x80C7A80A, 0x0E1BC2E3,
+    0x80C22783, 0x0DE9CC3F,
+    0x80BCBA9C, 0x0DB7D376,
+    0x80B76155, 0x0D85D88F,
+    0x80B21BAF, 0x0D53DB92,
+    0x80ACE9AB, 0x0D21DC87,
+    0x80A7CB49, 0x0CEFDB75,
+    0x80A2C08B, 0x0CBDD865,
+    0x809DC970, 0x0C8BD35E,
+    0x8098E5FB, 0x0C59CC67,
+    0x8094162B, 0x0C27C389,
+    0x808F5A02, 0x0BF5B8CB,
+    0x808AB180, 0x0BC3AC35,
+    0x80861CA5, 0x0B919DCE,
+    0x80819B74, 0x0B5F8D9F,
+    0x807D2DEB, 0x0B2D7BAE,
+    0x8078D40D, 0x0AFB6805,
+    0x80748DD9, 0x0AC952AA,
+    0x80705B50, 0x0A973BA5,
+    0x806C3C73, 0x0A6522FE,
+    0x80683143, 0x0A3308BC,
+    0x806439C0, 0x0A00ECE8,
+    0x806055EA, 0x09CECF89,
+    0x805C85C3, 0x099CB0A7,
+    0x8058C94C, 0x096A9049,
+    0x80552083, 0x09386E77,
+    0x80518B6B, 0x09064B3A,
+    0x804E0A03, 0x08D42698,
+    0x804A9C4D, 0x08A2009A,
+    0x80474248, 0x086FD947,
+    0x8043FBF6, 0x083DB0A7,
+    0x8040C956, 0x080B86C1,
+    0x803DAA69, 0x07D95B9E,
+    0x803A9F31, 0x07A72F45,
+    0x8037A7AC, 0x077501BE,
+    0x8034C3DC, 0x0742D310,
+    0x8031F3C1, 0x0710A344,
+    0x802F375C, 0x06DE7261,
+    0x802C8EAD, 0x06AC406F,
+    0x8029F9B4, 0x067A0D75,
+    0x80277872, 0x0647D97C,
+    0x80250AE7, 0x0615A48A,
+    0x8022B113, 0x05E36EA9,
+    0x80206AF8, 0x05B137DF,
+    0x801E3894, 0x057F0034,
+    0x801C19E9, 0x054CC7B0,
+    0x801A0EF7, 0x051A8E5C,
+    0x801817BF, 0x04E8543D,
+    0x80163440, 0x04B6195D,
+    0x8014647A, 0x0483DDC3,
+    0x8012A86F, 0x0451A176,
+    0x8011001E, 0x041F647F,
+    0x800F6B88, 0x03ED26E6,
+    0x800DEAAC, 0x03BAE8B1,
+    0x800C7D8C, 0x0388A9E9,
+    0x800B2427, 0x03566A96,
+    0x8009DE7D, 0x03242ABF,
+    0x8008AC90, 0x02F1EA6B,
+    0x80078E5E, 0x02BFA9A4,
+    0x800683E8, 0x028D6870,
+    0x80058D2E, 0x025B26D7,
+    0x8004AA31, 0x0228E4E1,
+    0x8003DAF0, 0x01F6A296,
+    0x80031F6C, 0x01C45FFE,
+    0x800277A5, 0x01921D1F,
+    0x8001E39B, 0x015FDA03,
+    0x8001634D, 0x012D96B0,
+    0x8000F6BD, 0x00FB532F,
+    0x80009DE9, 0x00C90F88,
+    0x800058D3, 0x0096CBC1,
+    0x8000277A, 0x006487E3,
+    0x800009DE, 0x003243F5,
+    0x80000000, 0x00000000,
+    0x800009DE, 0xFFCDBC0A,
+    0x8000277A, 0xFF9B781D,
+    0x800058D3, 0xFF69343E,
+    0x80009DE9, 0xFF36F078,
+    0x8000F6BD, 0xFF04ACD0,
+    0x8001634D, 0xFED2694F,
+    0x8001E39B, 0xFEA025FC,
+    0x800277A5, 0xFE6DE2E0,
+    0x80031F6C, 0xFE3BA001,
+    0x8003DAF0, 0xFE095D69,
+    0x8004AA31, 0xFDD71B1E,
+    0x80058D2E, 0xFDA4D928,
+    0x800683E8, 0xFD72978F,
+    0x80078E5E, 0xFD40565B,
+    0x8008AC90, 0xFD0E1594,
+    0x8009DE7D, 0xFCDBD541,
+    0x800B2427, 0xFCA99569,
+    0x800C7D8C, 0xFC775616,
+    0x800DEAAC, 0xFC45174E,
+    0x800F6B88, 0xFC12D919,
+    0x8011001E, 0xFBE09B80,
+    0x8012A86F, 0xFBAE5E89,
+    0x8014647A, 0xFB7C223C,
+    0x80163440, 0xFB49E6A2,
+    0x801817BF, 0xFB17ABC2,
+    0x801A0EF7, 0xFAE571A4,
+    0x801C19E9, 0xFAB3384F,
+    0x801E3894, 0xFA80FFCB,
+    0x80206AF8, 0xFA4EC820,
+    0x8022B113, 0xFA1C9156,
+    0x80250AE7, 0xF9EA5B75,
+    0x80277872, 0xF9B82683,
+    0x8029F9B4, 0xF985F28A,
+    0x802C8EAD, 0xF953BF90,
+    0x802F375C, 0xF9218D9E,
+    0x8031F3C1, 0xF8EF5CBB,
+    0x8034C3DC, 0xF8BD2CEF,
+    0x8037A7AC, 0xF88AFE41,
+    0x803A9F31, 0xF858D0BA,
+    0x803DAA69, 0xF826A461,
+    0x8040C956, 0xF7F4793E,
+    0x8043FBF6, 0xF7C24F58,
+    0x80474248, 0xF79026B8,
+    0x804A9C4D, 0xF75DFF65,
+    0x804E0A03, 0xF72BD967,
+    0x80518B6B, 0xF6F9B4C5,
+    0x80552083, 0xF6C79188,
+    0x8058C94C, 0xF6956FB6,
+    0x805C85C3, 0xF6634F58,
+    0x806055EA, 0xF6313076,
+    0x806439C0, 0xF5FF1317,
+    0x80683143, 0xF5CCF743,
+    0x806C3C73, 0xF59ADD01,
+    0x80705B50, 0xF568C45A,
+    0x80748DD9, 0xF536AD55,
+    0x8078D40D, 0xF50497FA,
+    0x807D2DEB, 0xF4D28451,
+    0x80819B74, 0xF4A07260,
+    0x80861CA5, 0xF46E6231,
+    0x808AB180, 0xF43C53CA,
+    0x808F5A02, 0xF40A4734,
+    0x8094162B, 0xF3D83C76,
+    0x8098E5FB, 0xF3A63398,
+    0x809DC970, 0xF3742CA1,
+    0x80A2C08B, 0xF342279A,
+    0x80A7CB49, 0xF310248A,
+    0x80ACE9AB, 0xF2DE2378,
+    0x80B21BAF, 0xF2AC246D,
+    0x80B76155, 0xF27A2770,
+    0x80BCBA9C, 0xF2482C89,
+    0x80C22783, 0xF21633C0,
+    0x80C7A80A, 0xF1E43D1C,
+    0x80CD3C2F, 0xF1B248A5,
+    0x80D2E3F1, 0xF1805662,
+    0x80D89F51, 0xF14E665C,
+    0x80DE6E4C, 0xF11C789A,
+    0x80E450E2, 0xF0EA8D23,
+    0x80EA4712, 0xF0B8A401,
+    0x80F050DB, 0xF086BD39,
+    0x80F66E3C, 0xF054D8D4,
+    0x80FC9F35, 0xF022F6DA,
+    0x8102E3C3, 0xEFF11752,
+    0x81093BE8, 0xEFBF3A44,
+    0x810FA7A0, 0xEF8D5FB8,
+    0x811626EC, 0xEF5B87B5,
+    0x811CB9CA, 0xEF29B243,
+    0x81236039, 0xEEF7DF6A,
+    0x812A1A39, 0xEEC60F31,
+    0x8130E7C8, 0xEE9441A0,
+    0x8137C8E6, 0xEE6276BF,
+    0x813EBD90, 0xEE30AE95,
+    0x8145C5C6, 0xEDFEE92B,
+    0x814CE188, 0xEDCD2687,
+    0x815410D3, 0xED9B66B2,
+    0x815B53A8, 0xED69A9B2,
+    0x8162AA03, 0xED37EF91,
+    0x816A13E6, 0xED063855,
+    0x8171914E, 0xECD48406,
+    0x8179223A, 0xECA2D2AC,
+    0x8180C6A9, 0xEC71244F,
+    0x81887E9A, 0xEC3F78F5,
+    0x81904A0C, 0xEC0DD0A8,
+    0x819828FD, 0xEBDC2B6D,
+    0x81A01B6C, 0xEBAA894E,
+    0x81A82159, 0xEB78EA52,
+    0x81B03AC1, 0xEB474E80,
+    0x81B867A4, 0xEB15B5E0,
+    0x81C0A801, 0xEAE4207A,
+    0x81C8FBD5, 0xEAB28E55,
+    0x81D16320, 0xEA80FF79,
+    0x81D9DDE1, 0xEA4F73EE,
+    0x81E26C16, 0xEA1DEBBB,
+    0x81EB0DBD, 0xE9EC66E8,
+    0x81F3C2D7, 0xE9BAE57C,
+    0x81FC8B60, 0xE9896780,
+    0x82056758, 0xE957ECFB,
+    0x820E56BE, 0xE92675F4,
+    0x8217598F, 0xE8F50273,
+    0x82206FCB, 0xE8C3927F,
+    0x82299971, 0xE8922621,
+    0x8232D67E, 0xE860BD60,
+    0x823C26F2, 0xE82F5844,
+    0x82458ACB, 0xE7FDF6D3,
+    0x824F0208, 0xE7CC9917,
+    0x82588CA6, 0xE79B3F16,
+    0x82622AA5, 0xE769E8D8,
+    0x826BDC04, 0xE7389664,
+    0x8275A0C0, 0xE70747C3,
+    0x827F78D8, 0xE6D5FCFC,
+    0x8289644A, 0xE6A4B616,
+    0x82936316, 0xE6737319,
+    0x829D753A, 0xE642340D,
+    0x82A79AB3, 0xE610F8F9,
+    0x82B1D381, 0xE5DFC1E4,
+    0x82BC1FA1, 0xE5AE8ED8,
+    0x82C67F13, 0xE57D5FDA,
+    0x82D0F1D5, 0xE54C34F3,
+    0x82DB77E5, 0xE51B0E2A,
+    0x82E61141, 0xE4E9EB86,
+    0x82F0BDE8, 0xE4B8CD10,
+    0x82FB7DD8, 0xE487B2CF,
+    0x8306510F, 0xE4569CCB,
+    0x8311378C, 0xE4258B0A,
+    0x831C314E, 0xE3F47D95,
+    0x83273E52, 0xE3C37473,
+    0x83325E97, 0xE3926FAC,
+    0x833D921A, 0xE3616F47,
+    0x8348D8DB, 0xE330734C,
+    0x835432D8, 0xE2FF7BC3,
+    0x835FA00E, 0xE2CE88B2,
+    0x836B207D, 0xE29D9A22,
+    0x8376B422, 0xE26CB01A,
+    0x83825AFB, 0xE23BCAA2,
+    0x838E1507, 0xE20AE9C1,
+    0x8399E244, 0xE1DA0D7E,
+    0x83A5C2B0, 0xE1A935E1,
+    0x83B1B649, 0xE17862F3,
+    0x83BDBD0D, 0xE14794B9,
+    0x83C9D6FB, 0xE116CB3D,
+    0x83D60411, 0xE0E60684,
+    0x83E2444D, 0xE0B54698,
+    0x83EE97AC, 0xE0848B7F,
+    0x83FAFE2E, 0xE053D541,
+    0x840777CF, 0xE02323E5,
+    0x8414048F, 0xDFF27773,
+    0x8420A46B, 0xDFC1CFF2,
+    0x842D5761, 0xDF912D6A,
+    0x843A1D70, 0xDF608FE3,
+    0x8446F695, 0xDF2FF764,
+    0x8453E2CE, 0xDEFF63F4,
+    0x8460E21A, 0xDECED59B,
+    0x846DF476, 0xDE9E4C60,
+    0x847B19E1, 0xDE6DC84B,
+    0x84885257, 0xDE3D4963,
+    0x84959DD9, 0xDE0CCFB1,
+    0x84A2FC62, 0xDDDC5B3A,
+    0x84B06DF1, 0xDDABEC07,
+    0x84BDF285, 0xDD7B8220,
+    0x84CB8A1B, 0xDD4B1D8B,
+    0x84D934B0, 0xDD1ABE51,
+    0x84E6F244, 0xDCEA6478,
+    0x84F4C2D3, 0xDCBA1008,
+    0x8502A65C, 0xDC89C108,
+    0x85109CDC, 0xDC597781,
+    0x851EA652, 0xDC293379,
+    0x852CC2BA, 0xDBF8F4F8,
+    0x853AF214, 0xDBC8BC05,
+    0x8549345C, 0xDB9888A8,
+    0x85578991, 0xDB685AE8,
+    0x8565F1B0, 0xDB3832CD,
+    0x85746CB7, 0xDB08105E,
+    0x8582FAA4, 0xDAD7F3A2,
+    0x85919B75, 0xDAA7DCA1,
+    0x85A04F28, 0xDA77CB62,
+    0x85AF15B9, 0xDA47BFED,
+    0x85BDEF27, 0xDA17BA4A,
+    0x85CCDB70, 0xD9E7BA7E,
+    0x85DBDA91, 0xD9B7C093,
+    0x85EAEC88, 0xD987CC8F,
+    0x85FA1152, 0xD957DE7A,
+    0x860948EE, 0xD927F65B,
+    0x86189359, 0xD8F81439,
+    0x8627F090, 0xD8C8381C,
+    0x86376092, 0xD898620C,
+    0x8646E35B, 0xD868920F,
+    0x865678EA, 0xD838C82D,
+    0x8666213C, 0xD809046D,
+    0x8675DC4E, 0xD7D946D7,
+    0x8685AA1F, 0xD7A98F73,
+    0x86958AAB, 0xD779DE46,
+    0x86A57DF1, 0xD74A335A,
+    0x86B583EE, 0xD71A8EB5,
+    0x86C59C9F, 0xD6EAF05E,
+    0x86D5C802, 0xD6BB585D,
+    0x86E60614, 0xD68BC6BA,
+    0x86F656D3, 0xD65C3B7B,
+    0x8706BA3C, 0xD62CB6A7,
+    0x8717304E, 0xD5FD3847,
+    0x8727B904, 0xD5CDC062,
+    0x8738545E, 0xD59E4EFE,
+    0x87490257, 0xD56EE424,
+    0x8759C2EF, 0xD53F7FDA,
+    0x876A9621, 0xD5102227,
+    0x877B7BEC, 0xD4E0CB14,
+    0x878C744C, 0xD4B17AA7,
+    0x879D7F40, 0xD48230E8,
+    0x87AE9CC5, 0xD452EDDE,
+    0x87BFCCD7, 0xD423B190,
+    0x87D10F75, 0xD3F47C06,
+    0x87E2649B, 0xD3C54D46,
+    0x87F3CC47, 0xD3962559,
+    0x88054677, 0xD3670445,
+    0x8816D327, 0xD337EA12,
+    0x88287255, 0xD308D6C6,
+    0x883A23FE, 0xD2D9CA6A,
+    0x884BE820, 0xD2AAC504,
+    0x885DBEB7, 0xD27BC69C,
+    0x886FA7C2, 0xD24CCF38,
+    0x8881A33C, 0xD21DDEE1,
+    0x8893B124, 0xD1EEF59E,
+    0x88A5D177, 0xD1C01374,
+    0x88B80431, 0xD191386D,
+    0x88CA4951, 0xD162648F,
+    0x88DCA0D3, 0xD13397E1,
+    0x88EF0AB4, 0xD104D26B,
+    0x890186F1, 0xD0D61433,
+    0x89141589, 0xD0A75D42,
+    0x8926B677, 0xD078AD9D,
+    0x893969B9, 0xD04A054D,
+    0x894C2F4C, 0xD01B6459,
+    0x895F072D, 0xCFECCAC7,
+    0x8971F15A, 0xCFBE389F,
+    0x8984EDCF, 0xCF8FADE8,
+    0x8997FC89, 0xCF612AAA,
+    0x89AB1D86, 0xCF32AEEB,
+    0x89BE50C3, 0xCF043AB2,
+    0x89D1963C, 0xCED5CE08,
+    0x89E4EDEE, 0xCEA768F2,
+    0x89F857D8, 0xCE790B78,
+    0x8A0BD3F5, 0xCE4AB5A2,
+    0x8A1F6242, 0xCE1C6776,
+    0x8A3302BD, 0xCDEE20FC,
+    0x8A46B563, 0xCDBFE23A,
+    0x8A5A7A30, 0xCD91AB38,
+    0x8A6E5122, 0xCD637BFD,
+    0x8A823A35, 0xCD355490,
+    0x8A963567, 0xCD0734F8,
+    0x8AAA42B4, 0xCCD91D3D,
+    0x8ABE6219, 0xCCAB0D65,
+    0x8AD29393, 0xCC7D0577,
+    0x8AE6D71F, 0xCC4F057B,
+    0x8AFB2CBA, 0xCC210D78,
+    0x8B0F9461, 0xCBF31D75,
+    0x8B240E10, 0xCBC53578,
+    0x8B3899C5, 0xCB975589,
+    0x8B4D377C, 0xCB697DB0,
+    0x8B61E732, 0xCB3BADF2,
+    0x8B76A8E4, 0xCB0DE658,
+    0x8B8B7C8F, 0xCAE026E8,
+    0x8BA0622F, 0xCAB26FA9,
+    0x8BB559C1, 0xCA84C0A2,
+    0x8BCA6342, 0xCA5719DB,
+    0x8BDF7EAF, 0xCA297B5A,
+    0x8BF4AC05, 0xC9FBE527,
+    0x8C09EB40, 0xC9CE5748,
+    0x8C1F3C5C, 0xC9A0D1C4,
+    0x8C349F58, 0xC97354A3,
+    0x8C4A142F, 0xC945DFEC,
+    0x8C5F9ADD, 0xC91873A5,
+    0x8C753361, 0xC8EB0FD6,
+    0x8C8ADDB6, 0xC8BDB485,
+    0x8CA099D9, 0xC89061BA,
+    0x8CB667C7, 0xC863177B,
+    0x8CCC477D, 0xC835D5D0,
+    0x8CE238F6, 0xC8089CBF,
+    0x8CF83C30, 0xC7DB6C50,
+    0x8D0E5127, 0xC7AE4489,
+    0x8D2477D8, 0xC7812571,
+    0x8D3AB03F, 0xC7540F10,
+    0x8D50FA59, 0xC727016C,
+    0x8D675623, 0xC6F9FC8D,
+    0x8D7DC399, 0xC6CD0079,
+    0x8D9442B7, 0xC6A00D36,
+    0x8DAAD37B, 0xC67322CD,
+    0x8DC175E0, 0xC6464144,
+    0x8DD829E4, 0xC61968A2,
+    0x8DEEEF82, 0xC5EC98ED,
+    0x8E05C6B7, 0xC5BFD22E,
+    0x8E1CAF80, 0xC593146A,
+    0x8E33A9D9, 0xC5665FA8,
+    0x8E4AB5BF, 0xC539B3F0,
+    0x8E61D32D, 0xC50D1148,
+    0x8E790222, 0xC4E077B8,
+    0x8E904298, 0xC4B3E746,
+    0x8EA7948C, 0xC4875FF8,
+    0x8EBEF7FB, 0xC45AE1D7,
+    0x8ED66CE1, 0xC42E6CE8,
+    0x8EEDF33B, 0xC4020132,
+    0x8F058B04, 0xC3D59EBD,
+    0x8F1D343A, 0xC3A9458F,
+    0x8F34EED8, 0xC37CF5B0,
+    0x8F4CBADB, 0xC350AF25,
+    0x8F64983F, 0xC32471F6,
+    0x8F7C8701, 0xC2F83E2A,
+    0x8F94871D, 0xC2CC13C7,
+    0x8FAC988E, 0xC29FF2D4,
+    0x8FC4BB53, 0xC273DB58,
+    0x8FDCEF66, 0xC247CD5A,
+    0x8FF534C4, 0xC21BC8E0,
+    0x900D8B69, 0xC1EFCDF2,
+    0x9025F352, 0xC1C3DC96,
+    0x903E6C7A, 0xC197F4D3,
+    0x9056F6DF, 0xC16C16B0,
+    0x906F927B, 0xC1404233,
+    0x90883F4C, 0xC1147763,
+    0x90A0FD4E, 0xC0E8B648,
+    0x90B9CC7C, 0xC0BCFEE7,
+    0x90D2ACD3, 0xC0915147,
+    0x90EB9E50, 0xC065AD70,
+    0x9104A0ED, 0xC03A1368,
+    0x911DB4A8, 0xC00E8335,
+    0x9136D97D, 0xBFE2FCDF,
+    0x91500F67, 0xBFB7806C,
+    0x91695663, 0xBF8C0DE2,
+    0x9182AE6C, 0xBF60A54A,
+    0x919C1780, 0xBF3546A8,
+    0x91B5919A, 0xBF09F204,
+    0x91CF1CB6, 0xBEDEA765,
+    0x91E8B8D0, 0xBEB366D1,
+    0x920265E4, 0xBE88304F,
+    0x921C23EE, 0xBE5D03E5,
+    0x9235F2EB, 0xBE31E19B,
+    0x924FD2D6, 0xBE06C977,
+    0x9269C3AC, 0xBDDBBB7F,
+    0x9283C567, 0xBDB0B7BA,
+    0x929DD805, 0xBD85BE2F,
+    0x92B7FB82, 0xBD5ACEE5,
+    0x92D22FD8, 0xBD2FE9E1,
+    0x92EC7505, 0xBD050F2C,
+    0x9306CB04, 0xBCDA3ECA,
+    0x932131D1, 0xBCAF78C3,
+    0x933BA968, 0xBC84BD1E,
+    0x935631C5, 0xBC5A0BE1,
+    0x9370CAE4, 0xBC2F6513,
+    0x938B74C0, 0xBC04C8BA,
+    0x93A62F56, 0xBBDA36DC,
+    0x93C0FAA2, 0xBBAFAF81,
+    0x93DBD69F, 0xBB8532AF,
+    0x93F6C34A, 0xBB5AC06C,
+    0x9411C09D, 0xBB3058C0,
+    0x942CCE95, 0xBB05FBB0,
+    0x9447ED2F, 0xBADBA943,
+    0x94631C64, 0xBAB1617F,
+    0x947E5C32, 0xBA87246C,
+    0x9499AC95, 0xBA5CF210,
+    0x94B50D87, 0xBA32CA70,
+    0x94D07F05, 0xBA08AD94,
+    0x94EC010B, 0xB9DE9B83,
+    0x95079393, 0xB9B49442,
+    0x9523369B, 0xB98A97D8,
+    0x953EEA1E, 0xB960A64B,
+    0x955AAE17, 0xB936BFA3,
+    0x95768282, 0xB90CE3E6,
+    0x9592675B, 0xB8E31319,
+    0x95AE5C9E, 0xB8B94D44,
+    0x95CA6246, 0xB88F926C,
+    0x95E6784F, 0xB865E299,
+    0x96029EB5, 0xB83C3DD1,
+    0x961ED573, 0xB812A419,
+    0x963B1C85, 0xB7E9157A,
+    0x965773E7, 0xB7BF91F8,
+    0x9673DB94, 0xB796199B,
+    0x96905387, 0xB76CAC68,
+    0x96ACDBBD, 0xB7434A67,
+    0x96C97431, 0xB719F39D,
+    0x96E61CDF, 0xB6F0A811,
+    0x9702D5C2, 0xB6C767CA,
+    0x971F9ED6, 0xB69E32CD,
+    0x973C7816, 0xB6750921,
+    0x9759617E, 0xB64BEACC,
+    0x97765B0A, 0xB622D7D5,
+    0x979364B5, 0xB5F9D042,
+    0x97B07E7A, 0xB5D0D41A,
+    0x97CDA855, 0xB5A7E362,
+    0x97EAE241, 0xB57EFE21,
+    0x98082C3B, 0xB556245E,
+    0x9825863D, 0xB52D561E,
+    0x9842F043, 0xB5049368,
+    0x98606A48, 0xB4DBDC42,
+    0x987DF449, 0xB4B330B2,
+    0x989B8E3F, 0xB48A90C0,
+    0x98B93828, 0xB461FC70,
+    0x98D6F1FE, 0xB43973C9,
+    0x98F4BBBC, 0xB410F6D2,
+    0x9912955E, 0xB3E88591,
+    0x99307EE0, 0xB3C0200C,
+    0x994E783C, 0xB397C649,
+    0x996C816F, 0xB36F784E,
+    0x998A9A73, 0xB3473622,
+    0x99A8C344, 0xB31EFFCB,
+    0x99C6FBDE, 0xB2F6D54F,
+    0x99E5443A, 0xB2CEB6B5,
+    0x9A039C56, 0xB2A6A401,
+    0x9A22042C, 0xB27E9D3B,
+    0x9A407BB8, 0xB256A26A,
+    0x9A5F02F5, 0xB22EB392,
+    0x9A7D99DD, 0xB206D0BA,
+    0x9A9C406D, 0xB1DEF9E8,
+    0x9ABAF6A0, 0xB1B72F23,
+    0x9AD9BC71, 0xB18F7070,
+    0x9AF891DB, 0xB167BDD6,
+    0x9B1776D9, 0xB140175B,
+    0x9B366B67, 0xB1187D05,
+    0x9B556F80, 0xB0F0EEDA,
+    0x9B748320, 0xB0C96CDF,
+    0x9B93A640, 0xB0A1F71C,
+    0x9BB2D8DD, 0xB07A8D97,
+    0x9BD21AF2, 0xB0533055,
+    0x9BF16C7A, 0xB02BDF5C,
+    0x9C10CD70, 0xB0049AB2,
+    0x9C303DCF, 0xAFDD625F,
+    0x9C4FBD92, 0xAFB63667,
+    0x9C6F4CB5, 0xAF8F16D0,
+    0x9C8EEB33, 0xAF6803A1,
+    0x9CAE9907, 0xAF40FCE0,
+    0x9CCE562B, 0xAF1A0293,
+    0x9CEE229C, 0xAEF314BF,
+    0x9D0DFE53, 0xAECC336B,
+    0x9D2DE94D, 0xAEA55E9D,
+    0x9D4DE384, 0xAE7E965B,
+    0x9D6DECF4, 0xAE57DAAA,
+    0x9D8E0596, 0xAE312B91,
+    0x9DAE2D68, 0xAE0A8916,
+    0x9DCE6462, 0xADE3F33E,
+    0x9DEEAA82, 0xADBD6A10,
+    0x9E0EFFC1, 0xAD96ED91,
+    0x9E2F641A, 0xAD707DC8,
+    0x9E4FD789, 0xAD4A1ABA,
+    0x9E705A09, 0xAD23C46D,
+    0x9E90EB94, 0xACFD7AE8,
+    0x9EB18C26, 0xACD73E30,
+    0x9ED23BB9, 0xACB10E4A,
+    0x9EF2FA48, 0xAC8AEB3E,
+    0x9F13C7D0, 0xAC64D510,
+    0x9F34A449, 0xAC3ECBC7,
+    0x9F558FB0, 0xAC18CF68,
+    0x9F7689FF, 0xABF2DFFA,
+    0x9F979331, 0xABCCFD82,
+    0x9FB8AB41, 0xABA72806,
+    0x9FD9D22A, 0xAB815F8C,
+    0x9FFB07E7, 0xAB5BA41A,
+    0xA01C4C72, 0xAB35F5B5,
+    0xA03D9FC7, 0xAB105464,
+    0xA05F01E1, 0xAAEAC02B,
+    0xA08072BA, 0xAAC53912,
+    0xA0A1F24C, 0xAA9FBF1D,
+    0xA0C38094, 0xAA7A5253,
+    0xA0E51D8C, 0xAA54F2B9,
+    0xA106C92E, 0xAA2FA055,
+    0xA1288376, 0xAA0A5B2D,
+    0xA14A4C5E, 0xA9E52347,
+    0xA16C23E1, 0xA9BFF8A8,
+    0xA18E09F9, 0xA99ADB56,
+    0xA1AFFEA2, 0xA975CB56,
+    0xA1D201D7, 0xA950C8AF,
+    0xA1F41391, 0xA92BD366,
+    0xA21633CD, 0xA906EB81,
+    0xA2386283, 0xA8E21106,
+    0xA25A9FB1, 0xA8BD43FA,
+    0xA27CEB4F, 0xA8988463,
+    0xA29F4559, 0xA873D246,
+    0xA2C1ADC9, 0xA84F2DA9,
+    0xA2E4249A, 0xA82A9693,
+    0xA306A9C7, 0xA8060D08,
+    0xA3293D4B, 0xA7E1910E,
+    0xA34BDF20, 0xA7BD22AB,
+    0xA36E8F40, 0xA798C1E4,
+    0xA3914DA7, 0xA7746EC0,
+    0xA3B41A4F, 0xA7502943,
+    0xA3D6F533, 0xA72BF173,
+    0xA3F9DE4D, 0xA707C756,
+    0xA41CD598, 0xA6E3AAF2,
+    0xA43FDB0F, 0xA6BF9C4B,
+    0xA462EEAC, 0xA69B9B68,
+    0xA4861069, 0xA677A84E,
+    0xA4A94042, 0xA653C302,
+    0xA4CC7E31, 0xA62FEB8B,
+    0xA4EFCA31, 0xA60C21ED,
+    0xA513243B, 0xA5E8662F,
+    0xA5368C4B, 0xA5C4B855,
+    0xA55A025B, 0xA5A11865,
+    0xA57D8666, 0xA57D8666,
+    0xA5A11865, 0xA55A025B,
+    0xA5C4B855, 0xA5368C4B,
+    0xA5E8662F, 0xA513243B,
+    0xA60C21ED, 0xA4EFCA31,
+    0xA62FEB8B, 0xA4CC7E31,
+    0xA653C302, 0xA4A94042,
+    0xA677A84E, 0xA4861069,
+    0xA69B9B68, 0xA462EEAC,
+    0xA6BF9C4B, 0xA43FDB0F,
+    0xA6E3AAF2, 0xA41CD598,
+    0xA707C756, 0xA3F9DE4D,
+    0xA72BF173, 0xA3D6F533,
+    0xA7502943, 0xA3B41A4F,
+    0xA7746EC0, 0xA3914DA7,
+    0xA798C1E4, 0xA36E8F40,
+    0xA7BD22AB, 0xA34BDF20,
+    0xA7E1910E, 0xA3293D4B,
+    0xA8060D08, 0xA306A9C7,
+    0xA82A9693, 0xA2E4249A,
+    0xA84F2DA9, 0xA2C1ADC9,
+    0xA873D246, 0xA29F4559,
+    0xA8988463, 0xA27CEB4F,
+    0xA8BD43FA, 0xA25A9FB1,
+    0xA8E21106, 0xA2386283,
+    0xA906EB81, 0xA21633CD,
+    0xA92BD366, 0xA1F41391,
+    0xA950C8AF, 0xA1D201D7,
+    0xA975CB56, 0xA1AFFEA2,
+    0xA99ADB56, 0xA18E09F9,
+    0xA9BFF8A8, 0xA16C23E1,
+    0xA9E52347, 0xA14A4C5E,
+    0xAA0A5B2D, 0xA1288376,
+    0xAA2FA055, 0xA106C92E,
+    0xAA54F2B9, 0xA0E51D8C,
+    0xAA7A5253, 0xA0C38094,
+    0xAA9FBF1D, 0xA0A1F24C,
+    0xAAC53912, 0xA08072BA,
+    0xAAEAC02B, 0xA05F01E1,
+    0xAB105464, 0xA03D9FC7,
+    0xAB35F5B5, 0xA01C4C72,
+    0xAB5BA41A, 0x9FFB07E7,
+    0xAB815F8C, 0x9FD9D22A,
+    0xABA72806, 0x9FB8AB41,
+    0xABCCFD82, 0x9F979331,
+    0xABF2DFFA, 0x9F7689FF,
+    0xAC18CF68, 0x9F558FB0,
+    0xAC3ECBC7, 0x9F34A449,
+    0xAC64D510, 0x9F13C7D0,
+    0xAC8AEB3E, 0x9EF2FA48,
+    0xACB10E4A, 0x9ED23BB9,
+    0xACD73E30, 0x9EB18C26,
+    0xACFD7AE8, 0x9E90EB94,
+    0xAD23C46D, 0x9E705A09,
+    0xAD4A1ABA, 0x9E4FD789,
+    0xAD707DC8, 0x9E2F641A,
+    0xAD96ED91, 0x9E0EFFC1,
+    0xADBD6A10, 0x9DEEAA82,
+    0xADE3F33E, 0x9DCE6462,
+    0xAE0A8916, 0x9DAE2D68,
+    0xAE312B91, 0x9D8E0596,
+    0xAE57DAAA, 0x9D6DECF4,
+    0xAE7E965B, 0x9D4DE384,
+    0xAEA55E9D, 0x9D2DE94D,
+    0xAECC336B, 0x9D0DFE53,
+    0xAEF314BF, 0x9CEE229C,
+    0xAF1A0293, 0x9CCE562B,
+    0xAF40FCE0, 0x9CAE9907,
+    0xAF6803A1, 0x9C8EEB33,
+    0xAF8F16D0, 0x9C6F4CB5,
+    0xAFB63667, 0x9C4FBD92,
+    0xAFDD625F, 0x9C303DCF,
+    0xB0049AB2, 0x9C10CD70,
+    0xB02BDF5C, 0x9BF16C7A,
+    0xB0533055, 0x9BD21AF2,
+    0xB07A8D97, 0x9BB2D8DD,
+    0xB0A1F71C, 0x9B93A640,
+    0xB0C96CDF, 0x9B748320,
+    0xB0F0EEDA, 0x9B556F80,
+    0xB1187D05, 0x9B366B67,
+    0xB140175B, 0x9B1776D9,
+    0xB167BDD6, 0x9AF891DB,
+    0xB18F7070, 0x9AD9BC71,
+    0xB1B72F23, 0x9ABAF6A0,
+    0xB1DEF9E8, 0x9A9C406D,
+    0xB206D0BA, 0x9A7D99DD,
+    0xB22EB392, 0x9A5F02F5,
+    0xB256A26A, 0x9A407BB8,
+    0xB27E9D3B, 0x9A22042C,
+    0xB2A6A401, 0x9A039C56,
+    0xB2CEB6B5, 0x99E5443A,
+    0xB2F6D54F, 0x99C6FBDE,
+    0xB31EFFCB, 0x99A8C344,
+    0xB3473622, 0x998A9A73,
+    0xB36F784E, 0x996C816F,
+    0xB397C649, 0x994E783C,
+    0xB3C0200C, 0x99307EE0,
+    0xB3E88591, 0x9912955E,
+    0xB410F6D2, 0x98F4BBBC,
+    0xB43973C9, 0x98D6F1FE,
+    0xB461FC70, 0x98B93828,
+    0xB48A90C0, 0x989B8E3F,
+    0xB4B330B2, 0x987DF449,
+    0xB4DBDC42, 0x98606A48,
+    0xB5049368, 0x9842F043,
+    0xB52D561E, 0x9825863D,
+    0xB556245E, 0x98082C3B,
+    0xB57EFE21, 0x97EAE241,
+    0xB5A7E362, 0x97CDA855,
+    0xB5D0D41A, 0x97B07E7A,
+    0xB5F9D042, 0x979364B5,
+    0xB622D7D5, 0x97765B0A,
+    0xB64BEACC, 0x9759617E,
+    0xB6750921, 0x973C7816,
+    0xB69E32CD, 0x971F9ED6,
+    0xB6C767CA, 0x9702D5C2,
+    0xB6F0A811, 0x96E61CDF,
+    0xB719F39D, 0x96C97431,
+    0xB7434A67, 0x96ACDBBD,
+    0xB76CAC68, 0x96905387,
+    0xB796199B, 0x9673DB94,
+    0xB7BF91F8, 0x965773E7,
+    0xB7E9157A, 0x963B1C85,
+    0xB812A419, 0x961ED573,
+    0xB83C3DD1, 0x96029EB5,
+    0xB865E299, 0x95E6784F,
+    0xB88F926C, 0x95CA6246,
+    0xB8B94D44, 0x95AE5C9E,
+    0xB8E31319, 0x9592675B,
+    0xB90CE3E6, 0x95768282,
+    0xB936BFA3, 0x955AAE17,
+    0xB960A64B, 0x953EEA1E,
+    0xB98A97D8, 0x9523369B,
+    0xB9B49442, 0x95079393,
+    0xB9DE9B83, 0x94EC010B,
+    0xBA08AD94, 0x94D07F05,
+    0xBA32CA70, 0x94B50D87,
+    0xBA5CF210, 0x9499AC95,
+    0xBA87246C, 0x947E5C32,
+    0xBAB1617F, 0x94631C64,
+    0xBADBA943, 0x9447ED2F,
+    0xBB05FBB0, 0x942CCE95,
+    0xBB3058C0, 0x9411C09D,
+    0xBB5AC06C, 0x93F6C34A,
+    0xBB8532AF, 0x93DBD69F,
+    0xBBAFAF81, 0x93C0FAA2,
+    0xBBDA36DC, 0x93A62F56,
+    0xBC04C8BA, 0x938B74C0,
+    0xBC2F6513, 0x9370CAE4,
+    0xBC5A0BE1, 0x935631C5,
+    0xBC84BD1E, 0x933BA968,
+    0xBCAF78C3, 0x932131D1,
+    0xBCDA3ECA, 0x9306CB04,
+    0xBD050F2C, 0x92EC7505,
+    0xBD2FE9E1, 0x92D22FD8,
+    0xBD5ACEE5, 0x92B7FB82,
+    0xBD85BE2F, 0x929DD805,
+    0xBDB0B7BA, 0x9283C567,
+    0xBDDBBB7F, 0x9269C3AC,
+    0xBE06C977, 0x924FD2D6,
+    0xBE31E19B, 0x9235F2EB,
+    0xBE5D03E5, 0x921C23EE,
+    0xBE88304F, 0x920265E4,
+    0xBEB366D1, 0x91E8B8D0,
+    0xBEDEA765, 0x91CF1CB6,
+    0xBF09F204, 0x91B5919A,
+    0xBF3546A8, 0x919C1780,
+    0xBF60A54A, 0x9182AE6C,
+    0xBF8C0DE2, 0x91695663,
+    0xBFB7806C, 0x91500F67,
+    0xBFE2FCDF, 0x9136D97D,
+    0xC00E8335, 0x911DB4A8,
+    0xC03A1368, 0x9104A0ED,
+    0xC065AD70, 0x90EB9E50,
+    0xC0915147, 0x90D2ACD3,
+    0xC0BCFEE7, 0x90B9CC7C,
+    0xC0E8B648, 0x90A0FD4E,
+    0xC1147763, 0x90883F4C,
+    0xC1404233, 0x906F927B,
+    0xC16C16B0, 0x9056F6DF,
+    0xC197F4D3, 0x903E6C7A,
+    0xC1C3DC96, 0x9025F352,
+    0xC1EFCDF2, 0x900D8B69,
+    0xC21BC8E0, 0x8FF534C4,
+    0xC247CD5A, 0x8FDCEF66,
+    0xC273DB58, 0x8FC4BB53,
+    0xC29FF2D4, 0x8FAC988E,
+    0xC2CC13C7, 0x8F94871D,
+    0xC2F83E2A, 0x8F7C8701,
+    0xC32471F6, 0x8F64983F,
+    0xC350AF25, 0x8F4CBADB,
+    0xC37CF5B0, 0x8F34EED8,
+    0xC3A9458F, 0x8F1D343A,
+    0xC3D59EBD, 0x8F058B04,
+    0xC4020132, 0x8EEDF33B,
+    0xC42E6CE8, 0x8ED66CE1,
+    0xC45AE1D7, 0x8EBEF7FB,
+    0xC4875FF8, 0x8EA7948C,
+    0xC4B3E746, 0x8E904298,
+    0xC4E077B8, 0x8E790222,
+    0xC50D1148, 0x8E61D32D,
+    0xC539B3F0, 0x8E4AB5BF,
+    0xC5665FA8, 0x8E33A9D9,
+    0xC593146A, 0x8E1CAF80,
+    0xC5BFD22E, 0x8E05C6B7,
+    0xC5EC98ED, 0x8DEEEF82,
+    0xC61968A2, 0x8DD829E4,
+    0xC6464144, 0x8DC175E0,
+    0xC67322CD, 0x8DAAD37B,
+    0xC6A00D36, 0x8D9442B7,
+    0xC6CD0079, 0x8D7DC399,
+    0xC6F9FC8D, 0x8D675623,
+    0xC727016C, 0x8D50FA59,
+    0xC7540F10, 0x8D3AB03F,
+    0xC7812571, 0x8D2477D8,
+    0xC7AE4489, 0x8D0E5127,
+    0xC7DB6C50, 0x8CF83C30,
+    0xC8089CBF, 0x8CE238F6,
+    0xC835D5D0, 0x8CCC477D,
+    0xC863177B, 0x8CB667C7,
+    0xC89061BA, 0x8CA099D9,
+    0xC8BDB485, 0x8C8ADDB6,
+    0xC8EB0FD6, 0x8C753361,
+    0xC91873A5, 0x8C5F9ADD,
+    0xC945DFEC, 0x8C4A142F,
+    0xC97354A3, 0x8C349F58,
+    0xC9A0D1C4, 0x8C1F3C5C,
+    0xC9CE5748, 0x8C09EB40,
+    0xC9FBE527, 0x8BF4AC05,
+    0xCA297B5A, 0x8BDF7EAF,
+    0xCA5719DB, 0x8BCA6342,
+    0xCA84C0A2, 0x8BB559C1,
+    0xCAB26FA9, 0x8BA0622F,
+    0xCAE026E8, 0x8B8B7C8F,
+    0xCB0DE658, 0x8B76A8E4,
+    0xCB3BADF2, 0x8B61E732,
+    0xCB697DB0, 0x8B4D377C,
+    0xCB975589, 0x8B3899C5,
+    0xCBC53578, 0x8B240E10,
+    0xCBF31D75, 0x8B0F9461,
+    0xCC210D78, 0x8AFB2CBA,
+    0xCC4F057B, 0x8AE6D71F,
+    0xCC7D0577, 0x8AD29393,
+    0xCCAB0D65, 0x8ABE6219,
+    0xCCD91D3D, 0x8AAA42B4,
+    0xCD0734F8, 0x8A963567,
+    0xCD355490, 0x8A823A35,
+    0xCD637BFD, 0x8A6E5122,
+    0xCD91AB38, 0x8A5A7A30,
+    0xCDBFE23A, 0x8A46B563,
+    0xCDEE20FC, 0x8A3302BD,
+    0xCE1C6776, 0x8A1F6242,
+    0xCE4AB5A2, 0x8A0BD3F5,
+    0xCE790B78, 0x89F857D8,
+    0xCEA768F2, 0x89E4EDEE,
+    0xCED5CE08, 0x89D1963C,
+    0xCF043AB2, 0x89BE50C3,
+    0xCF32AEEB, 0x89AB1D86,
+    0xCF612AAA, 0x8997FC89,
+    0xCF8FADE8, 0x8984EDCF,
+    0xCFBE389F, 0x8971F15A,
+    0xCFECCAC7, 0x895F072D,
+    0xD01B6459, 0x894C2F4C,
+    0xD04A054D, 0x893969B9,
+    0xD078AD9D, 0x8926B677,
+    0xD0A75D42, 0x89141589,
+    0xD0D61433, 0x890186F1,
+    0xD104D26B, 0x88EF0AB4,
+    0xD13397E1, 0x88DCA0D3,
+    0xD162648F, 0x88CA4951,
+    0xD191386D, 0x88B80431,
+    0xD1C01374, 0x88A5D177,
+    0xD1EEF59E, 0x8893B124,
+    0xD21DDEE1, 0x8881A33C,
+    0xD24CCF38, 0x886FA7C2,
+    0xD27BC69C, 0x885DBEB7,
+    0xD2AAC504, 0x884BE820,
+    0xD2D9CA6A, 0x883A23FE,
+    0xD308D6C6, 0x88287255,
+    0xD337EA12, 0x8816D327,
+    0xD3670445, 0x88054677,
+    0xD3962559, 0x87F3CC47,
+    0xD3C54D46, 0x87E2649B,
+    0xD3F47C06, 0x87D10F75,
+    0xD423B190, 0x87BFCCD7,
+    0xD452EDDE, 0x87AE9CC5,
+    0xD48230E8, 0x879D7F40,
+    0xD4B17AA7, 0x878C744C,
+    0xD4E0CB14, 0x877B7BEC,
+    0xD5102227, 0x876A9621,
+    0xD53F7FDA, 0x8759C2EF,
+    0xD56EE424, 0x87490257,
+    0xD59E4EFE, 0x8738545E,
+    0xD5CDC062, 0x8727B904,
+    0xD5FD3847, 0x8717304E,
+    0xD62CB6A7, 0x8706BA3C,
+    0xD65C3B7B, 0x86F656D3,
+    0xD68BC6BA, 0x86E60614,
+    0xD6BB585D, 0x86D5C802,
+    0xD6EAF05E, 0x86C59C9F,
+    0xD71A8EB5, 0x86B583EE,
+    0xD74A335A, 0x86A57DF1,
+    0xD779DE46, 0x86958AAB,
+    0xD7A98F73, 0x8685AA1F,
+    0xD7D946D7, 0x8675DC4E,
+    0xD809046D, 0x8666213C,
+    0xD838C82D, 0x865678EA,
+    0xD868920F, 0x8646E35B,
+    0xD898620C, 0x86376092,
+    0xD8C8381C, 0x8627F090,
+    0xD8F81439, 0x86189359,
+    0xD927F65B, 0x860948EE,
+    0xD957DE7A, 0x85FA1152,
+    0xD987CC8F, 0x85EAEC88,
+    0xD9B7C093, 0x85DBDA91,
+    0xD9E7BA7E, 0x85CCDB70,
+    0xDA17BA4A, 0x85BDEF27,
+    0xDA47BFED, 0x85AF15B9,
+    0xDA77CB62, 0x85A04F28,
+    0xDAA7DCA1, 0x85919B75,
+    0xDAD7F3A2, 0x8582FAA4,
+    0xDB08105E, 0x85746CB7,
+    0xDB3832CD, 0x8565F1B0,
+    0xDB685AE8, 0x85578991,
+    0xDB9888A8, 0x8549345C,
+    0xDBC8BC05, 0x853AF214,
+    0xDBF8F4F8, 0x852CC2BA,
+    0xDC293379, 0x851EA652,
+    0xDC597781, 0x85109CDC,
+    0xDC89C108, 0x8502A65C,
+    0xDCBA1008, 0x84F4C2D3,
+    0xDCEA6478, 0x84E6F244,
+    0xDD1ABE51, 0x84D934B0,
+    0xDD4B1D8B, 0x84CB8A1B,
+    0xDD7B8220, 0x84BDF285,
+    0xDDABEC07, 0x84B06DF1,
+    0xDDDC5B3A, 0x84A2FC62,
+    0xDE0CCFB1, 0x84959DD9,
+    0xDE3D4963, 0x84885257,
+    0xDE6DC84B, 0x847B19E1,
+    0xDE9E4C60, 0x846DF476,
+    0xDECED59B, 0x8460E21A,
+    0xDEFF63F4, 0x8453E2CE,
+    0xDF2FF764, 0x8446F695,
+    0xDF608FE3, 0x843A1D70,
+    0xDF912D6A, 0x842D5761,
+    0xDFC1CFF2, 0x8420A46B,
+    0xDFF27773, 0x8414048F,
+    0xE02323E5, 0x840777CF,
+    0xE053D541, 0x83FAFE2E,
+    0xE0848B7F, 0x83EE97AC,
+    0xE0B54698, 0x83E2444D,
+    0xE0E60684, 0x83D60411,
+    0xE116CB3D, 0x83C9D6FB,
+    0xE14794B9, 0x83BDBD0D,
+    0xE17862F3, 0x83B1B649,
+    0xE1A935E1, 0x83A5C2B0,
+    0xE1DA0D7E, 0x8399E244,
+    0xE20AE9C1, 0x838E1507,
+    0xE23BCAA2, 0x83825AFB,
+    0xE26CB01A, 0x8376B422,
+    0xE29D9A22, 0x836B207D,
+    0xE2CE88B2, 0x835FA00E,
+    0xE2FF7BC3, 0x835432D8,
+    0xE330734C, 0x8348D8DB,
+    0xE3616F47, 0x833D921A,
+    0xE3926FAC, 0x83325E97,
+    0xE3C37473, 0x83273E52,
+    0xE3F47D95, 0x831C314E,
+    0xE4258B0A, 0x8311378C,
+    0xE4569CCB, 0x8306510F,
+    0xE487B2CF, 0x82FB7DD8,
+    0xE4B8CD10, 0x82F0BDE8,
+    0xE4E9EB86, 0x82E61141,
+    0xE51B0E2A, 0x82DB77E5,
+    0xE54C34F3, 0x82D0F1D5,
+    0xE57D5FDA, 0x82C67F13,
+    0xE5AE8ED8, 0x82BC1FA1,
+    0xE5DFC1E4, 0x82B1D381,
+    0xE610F8F9, 0x82A79AB3,
+    0xE642340D, 0x829D753A,
+    0xE6737319, 0x82936316,
+    0xE6A4B616, 0x8289644A,
+    0xE6D5FCFC, 0x827F78D8,
+    0xE70747C3, 0x8275A0C0,
+    0xE7389664, 0x826BDC04,
+    0xE769E8D8, 0x82622AA5,
+    0xE79B3F16, 0x82588CA6,
+    0xE7CC9917, 0x824F0208,
+    0xE7FDF6D3, 0x82458ACB,
+    0xE82F5844, 0x823C26F2,
+    0xE860BD60, 0x8232D67E,
+    0xE8922621, 0x82299971,
+    0xE8C3927F, 0x82206FCB,
+    0xE8F50273, 0x8217598F,
+    0xE92675F4, 0x820E56BE,
+    0xE957ECFB, 0x82056758,
+    0xE9896780, 0x81FC8B60,
+    0xE9BAE57C, 0x81F3C2D7,
+    0xE9EC66E8, 0x81EB0DBD,
+    0xEA1DEBBB, 0x81E26C16,
+    0xEA4F73EE, 0x81D9DDE1,
+    0xEA80FF79, 0x81D16320,
+    0xEAB28E55, 0x81C8FBD5,
+    0xEAE4207A, 0x81C0A801,
+    0xEB15B5E0, 0x81B867A4,
+    0xEB474E80, 0x81B03AC1,
+    0xEB78EA52, 0x81A82159,
+    0xEBAA894E, 0x81A01B6C,
+    0xEBDC2B6D, 0x819828FD,
+    0xEC0DD0A8, 0x81904A0C,
+    0xEC3F78F5, 0x81887E9A,
+    0xEC71244F, 0x8180C6A9,
+    0xECA2D2AC, 0x8179223A,
+    0xECD48406, 0x8171914E,
+    0xED063855, 0x816A13E6,
+    0xED37EF91, 0x8162AA03,
+    0xED69A9B2, 0x815B53A8,
+    0xED9B66B2, 0x815410D3,
+    0xEDCD2687, 0x814CE188,
+    0xEDFEE92B, 0x8145C5C6,
+    0xEE30AE95, 0x813EBD90,
+    0xEE6276BF, 0x8137C8E6,
+    0xEE9441A0, 0x8130E7C8,
+    0xEEC60F31, 0x812A1A39,
+    0xEEF7DF6A, 0x81236039,
+    0xEF29B243, 0x811CB9CA,
+    0xEF5B87B5, 0x811626EC,
+    0xEF8D5FB8, 0x810FA7A0,
+    0xEFBF3A44, 0x81093BE8,
+    0xEFF11752, 0x8102E3C3,
+    0xF022F6DA, 0x80FC9F35,
+    0xF054D8D4, 0x80F66E3C,
+    0xF086BD39, 0x80F050DB,
+    0xF0B8A401, 0x80EA4712,
+    0xF0EA8D23, 0x80E450E2,
+    0xF11C789A, 0x80DE6E4C,
+    0xF14E665C, 0x80D89F51,
+    0xF1805662, 0x80D2E3F1,
+    0xF1B248A5, 0x80CD3C2F,
+    0xF1E43D1C, 0x80C7A80A,
+    0xF21633C0, 0x80C22783,
+    0xF2482C89, 0x80BCBA9C,
+    0xF27A2770, 0x80B76155,
+    0xF2AC246D, 0x80B21BAF,
+    0xF2DE2378, 0x80ACE9AB,
+    0xF310248A, 0x80A7CB49,
+    0xF342279A, 0x80A2C08B,
+    0xF3742CA1, 0x809DC970,
+    0xF3A63398, 0x8098E5FB,
+    0xF3D83C76, 0x8094162B,
+    0xF40A4734, 0x808F5A02,
+    0xF43C53CA, 0x808AB180,
+    0xF46E6231, 0x80861CA5,
+    0xF4A07260, 0x80819B74,
+    0xF4D28451, 0x807D2DEB,
+    0xF50497FA, 0x8078D40D,
+    0xF536AD55, 0x80748DD9,
+    0xF568C45A, 0x80705B50,
+    0xF59ADD01, 0x806C3C73,
+    0xF5CCF743, 0x80683143,
+    0xF5FF1317, 0x806439C0,
+    0xF6313076, 0x806055EA,
+    0xF6634F58, 0x805C85C3,
+    0xF6956FB6, 0x8058C94C,
+    0xF6C79188, 0x80552083,
+    0xF6F9B4C5, 0x80518B6B,
+    0xF72BD967, 0x804E0A03,
+    0xF75DFF65, 0x804A9C4D,
+    0xF79026B8, 0x80474248,
+    0xF7C24F58, 0x8043FBF6,
+    0xF7F4793E, 0x8040C956,
+    0xF826A461, 0x803DAA69,
+    0xF858D0BA, 0x803A9F31,
+    0xF88AFE41, 0x8037A7AC,
+    0xF8BD2CEF, 0x8034C3DC,
+    0xF8EF5CBB, 0x8031F3C1,
+    0xF9218D9E, 0x802F375C,
+    0xF953BF90, 0x802C8EAD,
+    0xF985F28A, 0x8029F9B4,
+    0xF9B82683, 0x80277872,
+    0xF9EA5B75, 0x80250AE7,
+    0xFA1C9156, 0x8022B113,
+    0xFA4EC820, 0x80206AF8,
+    0xFA80FFCB, 0x801E3894,
+    0xFAB3384F, 0x801C19E9,
+    0xFAE571A4, 0x801A0EF7,
+    0xFB17ABC2, 0x801817BF,
+    0xFB49E6A2, 0x80163440,
+    0xFB7C223C, 0x8014647A,
+    0xFBAE5E89, 0x8012A86F,
+    0xFBE09B80, 0x8011001E,
+    0xFC12D919, 0x800F6B88,
+    0xFC45174E, 0x800DEAAC,
+    0xFC775616, 0x800C7D8C,
+    0xFCA99569, 0x800B2427,
+    0xFCDBD541, 0x8009DE7D,
+    0xFD0E1594, 0x8008AC90,
+    0xFD40565B, 0x80078E5E,
+    0xFD72978F, 0x800683E8,
+    0xFDA4D928, 0x80058D2E,
+    0xFDD71B1E, 0x8004AA31,
+    0xFE095D69, 0x8003DAF0,
+    0xFE3BA001, 0x80031F6C,
+    0xFE6DE2E0, 0x800277A5,
+    0xFEA025FC, 0x8001E39B,
+    0xFED2694F, 0x8001634D,
+    0xFF04ACD0, 0x8000F6BD,
+    0xFF36F078, 0x80009DE9,
+    0xFF69343E, 0x800058D3,
+    0xFF9B781D, 0x8000277A,
+    0xFFCDBC0A, 0x800009DE
+};
+
 
 
 /*    
-* @brief  Q15 Twiddle factors Table    
+* @brief  q15 Twiddle factors Table    
+*/
+
+
+/**    
+* \par   
+* Example code for q15 Twiddle factors Generation::    
+* \par    
+* <pre>for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 16	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are interleaved fashion    
+* \par    
+* Convert Floating point to q15(Fixed point 1.15):    
+*	round(twiddleCoefq15(i) * pow(2, 15))    
+*    
+*/
+const q15_t twiddleCoef_16_q15[24] = {
+    0x7FFF, 0x0000,
+    0x7641, 0x30FB,
+    0x5A82, 0x5A82,
+    0x30FB, 0x7641,
+    0x0000, 0x7FFF,
+    0xCF04, 0x7641,
+    0xA57D, 0x5A82,
+    0x89BE, 0x30FB,
+    0x8000, 0x0000,
+    0x89BE, 0xCF04,
+    0xA57D, 0xA57D,
+    0xCF04, 0x89BE
+};
+
+/**    
+* \par   
+* Example code for q15 Twiddle factors Generation::    
+* \par    
+* <pre>for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 32	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are interleaved fashion    
+* \par    
+* Convert Floating point to q15(Fixed point 1.15):    
+*	round(twiddleCoefq15(i) * pow(2, 15))    
+*    
+*/
+const q15_t twiddleCoef_32_q15[48] = {
+    0x7FFF, 0x0000,
+    0x7D8A, 0x18F8,
+    0x7641, 0x30FB,
+    0x6A6D, 0x471C,
+    0x5A82, 0x5A82,
+    0x471C, 0x6A6D,
+    0x30FB, 0x7641,
+    0x18F8, 0x7D8A,
+    0x0000, 0x7FFF,
+    0xE707, 0x7D8A,
+    0xCF04, 0x7641,
+    0xB8E3, 0x6A6D,
+    0xA57D, 0x5A82,
+    0x9592, 0x471C,
+    0x89BE, 0x30FB,
+    0x8275, 0x18F8,
+    0x8000, 0x0000,
+    0x8275, 0xE707,
+    0x89BE, 0xCF04,
+    0x9592, 0xB8E3,
+    0xA57D, 0xA57D,
+    0xB8E3, 0x9592,
+    0xCF04, 0x89BE,
+    0xE707, 0x8275
+};
+
+/**    
+* \par   
+* Example code for q15 Twiddle factors Generation::    
+* \par    
+* <pre>for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 64	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are interleaved fashion    
+* \par    
+* Convert Floating point to q15(Fixed point 1.15):    
+*	round(twiddleCoefq15(i) * pow(2, 15))    
+*    
+*/
+const q15_t twiddleCoef_64_q15[96] = {
+    0x7FFF, 0x0000,
+    0x7F62, 0x0C8B,
+    0x7D8A, 0x18F8,
+    0x7A7D, 0x2528,
+    0x7641, 0x30FB,
+    0x70E2, 0x3C56,
+    0x6A6D, 0x471C,
+    0x62F2, 0x5133,
+    0x5A82, 0x5A82,
+    0x5133, 0x62F2,
+    0x471C, 0x6A6D,
+    0x3C56, 0x70E2,
+    0x30FB, 0x7641,
+    0x2528, 0x7A7D,
+    0x18F8, 0x7D8A,
+    0x0C8B, 0x7F62,
+    0x0000, 0x7FFF,
+    0xF374, 0x7F62,
+    0xE707, 0x7D8A,
+    0xDAD7, 0x7A7D,
+    0xCF04, 0x7641,
+    0xC3A9, 0x70E2,
+    0xB8E3, 0x6A6D,
+    0xAECC, 0x62F2,
+    0xA57D, 0x5A82,
+    0x9D0D, 0x5133,
+    0x9592, 0x471C,
+    0x8F1D, 0x3C56,
+    0x89BE, 0x30FB,
+    0x8582, 0x2528,
+    0x8275, 0x18F8,
+    0x809D, 0x0C8B,
+    0x8000, 0x0000,
+    0x809D, 0xF374,
+    0x8275, 0xE707,
+    0x8582, 0xDAD7,
+    0x89BE, 0xCF04,
+    0x8F1D, 0xC3A9,
+    0x9592, 0xB8E3,
+    0x9D0D, 0xAECC,
+    0xA57D, 0xA57D,
+    0xAECC, 0x9D0D,
+    0xB8E3, 0x9592,
+    0xC3A9, 0x8F1D,
+    0xCF04, 0x89BE,
+    0xDAD7, 0x8582,
+    0xE707, 0x8275,
+    0xF374, 0x809D
+};
+
+/**    
+* \par   
+* Example code for q15 Twiddle factors Generation::    
+* \par    
+* <pre>for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 128	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are interleaved fashion    
+* \par    
+* Convert Floating point to q15(Fixed point 1.15):    
+*	round(twiddleCoefq15(i) * pow(2, 15))    
+*    
+*/
+const q15_t twiddleCoef_128_q15[192] = {
+    0x7FFF, 0x0000,
+    0x7FD8, 0x0647,
+    0x7F62, 0x0C8B,
+    0x7E9D, 0x12C8,
+    0x7D8A, 0x18F8,
+    0x7C29, 0x1F19,
+    0x7A7D, 0x2528,
+    0x7884, 0x2B1F,
+    0x7641, 0x30FB,
+    0x73B5, 0x36BA,
+    0x70E2, 0x3C56,
+    0x6DCA, 0x41CE,
+    0x6A6D, 0x471C,
+    0x66CF, 0x4C3F,
+    0x62F2, 0x5133,
+    0x5ED7, 0x55F5,
+    0x5A82, 0x5A82,
+    0x55F5, 0x5ED7,
+    0x5133, 0x62F2,
+    0x4C3F, 0x66CF,
+    0x471C, 0x6A6D,
+    0x41CE, 0x6DCA,
+    0x3C56, 0x70E2,
+    0x36BA, 0x73B5,
+    0x30FB, 0x7641,
+    0x2B1F, 0x7884,
+    0x2528, 0x7A7D,
+    0x1F19, 0x7C29,
+    0x18F8, 0x7D8A,
+    0x12C8, 0x7E9D,
+    0x0C8B, 0x7F62,
+    0x0647, 0x7FD8,
+    0x0000, 0x7FFF,
+    0xF9B8, 0x7FD8,
+    0xF374, 0x7F62,
+    0xED37, 0x7E9D,
+    0xE707, 0x7D8A,
+    0xE0E6, 0x7C29,
+    0xDAD7, 0x7A7D,
+    0xD4E0, 0x7884,
+    0xCF04, 0x7641,
+    0xC945, 0x73B5,
+    0xC3A9, 0x70E2,
+    0xBE31, 0x6DCA,
+    0xB8E3, 0x6A6D,
+    0xB3C0, 0x66CF,
+    0xAECC, 0x62F2,
+    0xAA0A, 0x5ED7,
+    0xA57D, 0x5A82,
+    0xA128, 0x55F5,
+    0x9D0D, 0x5133,
+    0x9930, 0x4C3F,
+    0x9592, 0x471C,
+    0x9235, 0x41CE,
+    0x8F1D, 0x3C56,
+    0x8C4A, 0x36BA,
+    0x89BE, 0x30FB,
+    0x877B, 0x2B1F,
+    0x8582, 0x2528,
+    0x83D6, 0x1F19,
+    0x8275, 0x18F8,
+    0x8162, 0x12C8,
+    0x809D, 0x0C8B,
+    0x8027, 0x0647,
+    0x8000, 0x0000,
+    0x8027, 0xF9B8,
+    0x809D, 0xF374,
+    0x8162, 0xED37,
+    0x8275, 0xE707,
+    0x83D6, 0xE0E6,
+    0x8582, 0xDAD7,
+    0x877B, 0xD4E0,
+    0x89BE, 0xCF04,
+    0x8C4A, 0xC945,
+    0x8F1D, 0xC3A9,
+    0x9235, 0xBE31,
+    0x9592, 0xB8E3,
+    0x9930, 0xB3C0,
+    0x9D0D, 0xAECC,
+    0xA128, 0xAA0A,
+    0xA57D, 0xA57D,
+    0xAA0A, 0xA128,
+    0xAECC, 0x9D0D,
+    0xB3C0, 0x9930,
+    0xB8E3, 0x9592,
+    0xBE31, 0x9235,
+    0xC3A9, 0x8F1D,
+    0xC945, 0x8C4A,
+    0xCF04, 0x89BE,
+    0xD4E0, 0x877B,
+    0xDAD7, 0x8582,
+    0xE0E6, 0x83D6,
+    0xE707, 0x8275,
+    0xED37, 0x8162,
+    0xF374, 0x809D,
+    0xF9B8, 0x8027
+};
+
+/**    
+* \par   
+* Example code for q15 Twiddle factors Generation::    
+* \par    
+* <pre>for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 256	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are interleaved fashion    
+* \par    
+* Convert Floating point to q15(Fixed point 1.15):    
+*	round(twiddleCoefq15(i) * pow(2, 15))    
+*    
 */
-
-/**   
-* \par    
-* Example code for Q15 Twiddle factors Generation::    
+const q15_t twiddleCoef_256_q15[384] = {
+    0x7FFF, 0x0000,
+    0x7FF6, 0x0324,
+    0x7FD8, 0x0647,
+    0x7FA7, 0x096A,
+    0x7F62, 0x0C8B,
+    0x7F09, 0x0FAB,
+    0x7E9D, 0x12C8,
+    0x7E1D, 0x15E2,
+    0x7D8A, 0x18F8,
+    0x7CE3, 0x1C0B,
+    0x7C29, 0x1F19,
+    0x7B5D, 0x2223,
+    0x7A7D, 0x2528,
+    0x798A, 0x2826,
+    0x7884, 0x2B1F,
+    0x776C, 0x2E11,
+    0x7641, 0x30FB,
+    0x7504, 0x33DE,
+    0x73B5, 0x36BA,
+    0x7255, 0x398C,
+    0x70E2, 0x3C56,
+    0x6F5F, 0x3F17,
+    0x6DCA, 0x41CE,
+    0x6C24, 0x447A,
+    0x6A6D, 0x471C,
+    0x68A6, 0x49B4,
+    0x66CF, 0x4C3F,
+    0x64E8, 0x4EBF,
+    0x62F2, 0x5133,
+    0x60EC, 0x539B,
+    0x5ED7, 0x55F5,
+    0x5CB4, 0x5842,
+    0x5A82, 0x5A82,
+    0x5842, 0x5CB4,
+    0x55F5, 0x5ED7,
+    0x539B, 0x60EC,
+    0x5133, 0x62F2,
+    0x4EBF, 0x64E8,
+    0x4C3F, 0x66CF,
+    0x49B4, 0x68A6,
+    0x471C, 0x6A6D,
+    0x447A, 0x6C24,
+    0x41CE, 0x6DCA,
+    0x3F17, 0x6F5F,
+    0x3C56, 0x70E2,
+    0x398C, 0x7255,
+    0x36BA, 0x73B5,
+    0x33DE, 0x7504,
+    0x30FB, 0x7641,
+    0x2E11, 0x776C,
+    0x2B1F, 0x7884,
+    0x2826, 0x798A,
+    0x2528, 0x7A7D,
+    0x2223, 0x7B5D,
+    0x1F19, 0x7C29,
+    0x1C0B, 0x7CE3,
+    0x18F8, 0x7D8A,
+    0x15E2, 0x7E1D,
+    0x12C8, 0x7E9D,
+    0x0FAB, 0x7F09,
+    0x0C8B, 0x7F62,
+    0x096A, 0x7FA7,
+    0x0647, 0x7FD8,
+    0x0324, 0x7FF6,
+    0x0000, 0x7FFF,
+    0xFCDB, 0x7FF6,
+    0xF9B8, 0x7FD8,
+    0xF695, 0x7FA7,
+    0xF374, 0x7F62,
+    0xF054, 0x7F09,
+    0xED37, 0x7E9D,
+    0xEA1D, 0x7E1D,
+    0xE707, 0x7D8A,
+    0xE3F4, 0x7CE3,
+    0xE0E6, 0x7C29,
+    0xDDDC, 0x7B5D,
+    0xDAD7, 0x7A7D,
+    0xD7D9, 0x798A,
+    0xD4E0, 0x7884,
+    0xD1EE, 0x776C,
+    0xCF04, 0x7641,
+    0xCC21, 0x7504,
+    0xC945, 0x73B5,
+    0xC673, 0x7255,
+    0xC3A9, 0x70E2,
+    0xC0E8, 0x6F5F,
+    0xBE31, 0x6DCA,
+    0xBB85, 0x6C24,
+    0xB8E3, 0x6A6D,
+    0xB64B, 0x68A6,
+    0xB3C0, 0x66CF,
+    0xB140, 0x64E8,
+    0xAECC, 0x62F2,
+    0xAC64, 0x60EC,
+    0xAA0A, 0x5ED7,
+    0xA7BD, 0x5CB4,
+    0xA57D, 0x5A82,
+    0xA34B, 0x5842,
+    0xA128, 0x55F5,
+    0x9F13, 0x539B,
+    0x9D0D, 0x5133,
+    0x9B17, 0x4EBF,
+    0x9930, 0x4C3F,
+    0x9759, 0x49B4,
+    0x9592, 0x471C,
+    0x93DB, 0x447A,
+    0x9235, 0x41CE,
+    0x90A0, 0x3F17,
+    0x8F1D, 0x3C56,
+    0x8DAA, 0x398C,
+    0x8C4A, 0x36BA,
+    0x8AFB, 0x33DE,
+    0x89BE, 0x30FB,
+    0x8893, 0x2E11,
+    0x877B, 0x2B1F,
+    0x8675, 0x2826,
+    0x8582, 0x2528,
+    0x84A2, 0x2223,
+    0x83D6, 0x1F19,
+    0x831C, 0x1C0B,
+    0x8275, 0x18F8,
+    0x81E2, 0x15E2,
+    0x8162, 0x12C8,
+    0x80F6, 0x0FAB,
+    0x809D, 0x0C8B,
+    0x8058, 0x096A,
+    0x8027, 0x0647,
+    0x8009, 0x0324,
+    0x8000, 0x0000,
+    0x8009, 0xFCDB,
+    0x8027, 0xF9B8,
+    0x8058, 0xF695,
+    0x809D, 0xF374,
+    0x80F6, 0xF054,
+    0x8162, 0xED37,
+    0x81E2, 0xEA1D,
+    0x8275, 0xE707,
+    0x831C, 0xE3F4,
+    0x83D6, 0xE0E6,
+    0x84A2, 0xDDDC,
+    0x8582, 0xDAD7,
+    0x8675, 0xD7D9,
+    0x877B, 0xD4E0,
+    0x8893, 0xD1EE,
+    0x89BE, 0xCF04,
+    0x8AFB, 0xCC21,
+    0x8C4A, 0xC945,
+    0x8DAA, 0xC673,
+    0x8F1D, 0xC3A9,
+    0x90A0, 0xC0E8,
+    0x9235, 0xBE31,
+    0x93DB, 0xBB85,
+    0x9592, 0xB8E3,
+    0x9759, 0xB64B,
+    0x9930, 0xB3C0,
+    0x9B17, 0xB140,
+    0x9D0D, 0xAECC,
+    0x9F13, 0xAC64,
+    0xA128, 0xAA0A,
+    0xA34B, 0xA7BD,
+    0xA57D, 0xA57D,
+    0xA7BD, 0xA34B,
+    0xAA0A, 0xA128,
+    0xAC64, 0x9F13,
+    0xAECC, 0x9D0D,
+    0xB140, 0x9B17,
+    0xB3C0, 0x9930,
+    0xB64B, 0x9759,
+    0xB8E3, 0x9592,
+    0xBB85, 0x93DB,
+    0xBE31, 0x9235,
+    0xC0E8, 0x90A0,
+    0xC3A9, 0x8F1D,
+    0xC673, 0x8DAA,
+    0xC945, 0x8C4A,
+    0xCC21, 0x8AFB,
+    0xCF04, 0x89BE,
+    0xD1EE, 0x8893,
+    0xD4E0, 0x877B,
+    0xD7D9, 0x8675,
+    0xDAD7, 0x8582,
+    0xDDDC, 0x84A2,
+    0xE0E6, 0x83D6,
+    0xE3F4, 0x831C,
+    0xE707, 0x8275,
+    0xEA1D, 0x81E2,
+    0xED37, 0x8162,
+    0xF054, 0x80F6,
+    0xF374, 0x809D,
+    0xF695, 0x8058,
+    0xF9B8, 0x8027,
+    0xFCDB, 0x8009
+};
+
+/**    
+* \par   
+* Example code for q15 Twiddle factors Generation::    
+* \par    
+* <pre>for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 512	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are interleaved fashion    
+* \par    
+* Convert Floating point to q15(Fixed point 1.15):    
+*	round(twiddleCoefq15(i) * pow(2, 15))    
+*    
+*/
+const q15_t twiddleCoef_512_q15[768] = {
+    0x7FFF, 0x0000,
+    0x7FFD, 0x0192,
+    0x7FF6, 0x0324,
+    0x7FE9, 0x04B6,
+    0x7FD8, 0x0647,
+    0x7FC2, 0x07D9,
+    0x7FA7, 0x096A,
+    0x7F87, 0x0AFB,
+    0x7F62, 0x0C8B,
+    0x7F38, 0x0E1B,
+    0x7F09, 0x0FAB,
+    0x7ED5, 0x1139,
+    0x7E9D, 0x12C8,
+    0x7E5F, 0x1455,
+    0x7E1D, 0x15E2,
+    0x7DD6, 0x176D,
+    0x7D8A, 0x18F8,
+    0x7D39, 0x1A82,
+    0x7CE3, 0x1C0B,
+    0x7C89, 0x1D93,
+    0x7C29, 0x1F19,
+    0x7BC5, 0x209F,
+    0x7B5D, 0x2223,
+    0x7AEF, 0x23A6,
+    0x7A7D, 0x2528,
+    0x7A05, 0x26A8,
+    0x798A, 0x2826,
+    0x7909, 0x29A3,
+    0x7884, 0x2B1F,
+    0x77FA, 0x2C98,
+    0x776C, 0x2E11,
+    0x76D9, 0x2F87,
+    0x7641, 0x30FB,
+    0x75A5, 0x326E,
+    0x7504, 0x33DE,
+    0x745F, 0x354D,
+    0x73B5, 0x36BA,
+    0x7307, 0x3824,
+    0x7255, 0x398C,
+    0x719E, 0x3AF2,
+    0x70E2, 0x3C56,
+    0x7023, 0x3DB8,
+    0x6F5F, 0x3F17,
+    0x6E96, 0x4073,
+    0x6DCA, 0x41CE,
+    0x6CF9, 0x4325,
+    0x6C24, 0x447A,
+    0x6B4A, 0x45CD,
+    0x6A6D, 0x471C,
+    0x698C, 0x4869,
+    0x68A6, 0x49B4,
+    0x67BD, 0x4AFB,
+    0x66CF, 0x4C3F,
+    0x65DD, 0x4D81,
+    0x64E8, 0x4EBF,
+    0x63EF, 0x4FFB,
+    0x62F2, 0x5133,
+    0x61F1, 0x5269,
+    0x60EC, 0x539B,
+    0x5FE3, 0x54CA,
+    0x5ED7, 0x55F5,
+    0x5DC7, 0x571D,
+    0x5CB4, 0x5842,
+    0x5B9D, 0x5964,
+    0x5A82, 0x5A82,
+    0x5964, 0x5B9D,
+    0x5842, 0x5CB4,
+    0x571D, 0x5DC7,
+    0x55F5, 0x5ED7,
+    0x54CA, 0x5FE3,
+    0x539B, 0x60EC,
+    0x5269, 0x61F1,
+    0x5133, 0x62F2,
+    0x4FFB, 0x63EF,
+    0x4EBF, 0x64E8,
+    0x4D81, 0x65DD,
+    0x4C3F, 0x66CF,
+    0x4AFB, 0x67BD,
+    0x49B4, 0x68A6,
+    0x4869, 0x698C,
+    0x471C, 0x6A6D,
+    0x45CD, 0x6B4A,
+    0x447A, 0x6C24,
+    0x4325, 0x6CF9,
+    0x41CE, 0x6DCA,
+    0x4073, 0x6E96,
+    0x3F17, 0x6F5F,
+    0x3DB8, 0x7023,
+    0x3C56, 0x70E2,
+    0x3AF2, 0x719E,
+    0x398C, 0x7255,
+    0x3824, 0x7307,
+    0x36BA, 0x73B5,
+    0x354D, 0x745F,
+    0x33DE, 0x7504,
+    0x326E, 0x75A5,
+    0x30FB, 0x7641,
+    0x2F87, 0x76D9,
+    0x2E11, 0x776C,
+    0x2C98, 0x77FA,
+    0x2B1F, 0x7884,
+    0x29A3, 0x7909,
+    0x2826, 0x798A,
+    0x26A8, 0x7A05,
+    0x2528, 0x7A7D,
+    0x23A6, 0x7AEF,
+    0x2223, 0x7B5D,
+    0x209F, 0x7BC5,
+    0x1F19, 0x7C29,
+    0x1D93, 0x7C89,
+    0x1C0B, 0x7CE3,
+    0x1A82, 0x7D39,
+    0x18F8, 0x7D8A,
+    0x176D, 0x7DD6,
+    0x15E2, 0x7E1D,
+    0x1455, 0x7E5F,
+    0x12C8, 0x7E9D,
+    0x1139, 0x7ED5,
+    0x0FAB, 0x7F09,
+    0x0E1B, 0x7F38,
+    0x0C8B, 0x7F62,
+    0x0AFB, 0x7F87,
+    0x096A, 0x7FA7,
+    0x07D9, 0x7FC2,
+    0x0647, 0x7FD8,
+    0x04B6, 0x7FE9,
+    0x0324, 0x7FF6,
+    0x0192, 0x7FFD,
+    0x0000, 0x7FFF,
+    0xFE6D, 0x7FFD,
+    0xFCDB, 0x7FF6,
+    0xFB49, 0x7FE9,
+    0xF9B8, 0x7FD8,
+    0xF826, 0x7FC2,
+    0xF695, 0x7FA7,
+    0xF504, 0x7F87,
+    0xF374, 0x7F62,
+    0xF1E4, 0x7F38,
+    0xF054, 0x7F09,
+    0xEEC6, 0x7ED5,
+    0xED37, 0x7E9D,
+    0xEBAA, 0x7E5F,
+    0xEA1D, 0x7E1D,
+    0xE892, 0x7DD6,
+    0xE707, 0x7D8A,
+    0xE57D, 0x7D39,
+    0xE3F4, 0x7CE3,
+    0xE26C, 0x7C89,
+    0xE0E6, 0x7C29,
+    0xDF60, 0x7BC5,
+    0xDDDC, 0x7B5D,
+    0xDC59, 0x7AEF,
+    0xDAD7, 0x7A7D,
+    0xD957, 0x7A05,
+    0xD7D9, 0x798A,
+    0xD65C, 0x7909,
+    0xD4E0, 0x7884,
+    0xD367, 0x77FA,
+    0xD1EE, 0x776C,
+    0xD078, 0x76D9,
+    0xCF04, 0x7641,
+    0xCD91, 0x75A5,
+    0xCC21, 0x7504,
+    0xCAB2, 0x745F,
+    0xC945, 0x73B5,
+    0xC7DB, 0x7307,
+    0xC673, 0x7255,
+    0xC50D, 0x719E,
+    0xC3A9, 0x70E2,
+    0xC247, 0x7023,
+    0xC0E8, 0x6F5F,
+    0xBF8C, 0x6E96,
+    0xBE31, 0x6DCA,
+    0xBCDA, 0x6CF9,
+    0xBB85, 0x6C24,
+    0xBA32, 0x6B4A,
+    0xB8E3, 0x6A6D,
+    0xB796, 0x698C,
+    0xB64B, 0x68A6,
+    0xB504, 0x67BD,
+    0xB3C0, 0x66CF,
+    0xB27E, 0x65DD,
+    0xB140, 0x64E8,
+    0xB004, 0x63EF,
+    0xAECC, 0x62F2,
+    0xAD96, 0x61F1,
+    0xAC64, 0x60EC,
+    0xAB35, 0x5FE3,
+    0xAA0A, 0x5ED7,
+    0xA8E2, 0x5DC7,
+    0xA7BD, 0x5CB4,
+    0xA69B, 0x5B9D,
+    0xA57D, 0x5A82,
+    0xA462, 0x5964,
+    0xA34B, 0x5842,
+    0xA238, 0x571D,
+    0xA128, 0x55F5,
+    0xA01C, 0x54CA,
+    0x9F13, 0x539B,
+    0x9E0E, 0x5269,
+    0x9D0D, 0x5133,
+    0x9C10, 0x4FFB,
+    0x9B17, 0x4EBF,
+    0x9A22, 0x4D81,
+    0x9930, 0x4C3F,
+    0x9842, 0x4AFB,
+    0x9759, 0x49B4,
+    0x9673, 0x4869,
+    0x9592, 0x471C,
+    0x94B5, 0x45CD,
+    0x93DB, 0x447A,
+    0x9306, 0x4325,
+    0x9235, 0x41CE,
+    0x9169, 0x4073,
+    0x90A0, 0x3F17,
+    0x8FDC, 0x3DB8,
+    0x8F1D, 0x3C56,
+    0x8E61, 0x3AF2,
+    0x8DAA, 0x398C,
+    0x8CF8, 0x3824,
+    0x8C4A, 0x36BA,
+    0x8BA0, 0x354D,
+    0x8AFB, 0x33DE,
+    0x8A5A, 0x326E,
+    0x89BE, 0x30FB,
+    0x8926, 0x2F87,
+    0x8893, 0x2E11,
+    0x8805, 0x2C98,
+    0x877B, 0x2B1F,
+    0x86F6, 0x29A3,
+    0x8675, 0x2826,
+    0x85FA, 0x26A8,
+    0x8582, 0x2528,
+    0x8510, 0x23A6,
+    0x84A2, 0x2223,
+    0x843A, 0x209F,
+    0x83D6, 0x1F19,
+    0x8376, 0x1D93,
+    0x831C, 0x1C0B,
+    0x82C6, 0x1A82,
+    0x8275, 0x18F8,
+    0x8229, 0x176D,
+    0x81E2, 0x15E2,
+    0x81A0, 0x1455,
+    0x8162, 0x12C8,
+    0x812A, 0x1139,
+    0x80F6, 0x0FAB,
+    0x80C7, 0x0E1B,
+    0x809D, 0x0C8B,
+    0x8078, 0x0AFB,
+    0x8058, 0x096A,
+    0x803D, 0x07D9,
+    0x8027, 0x0647,
+    0x8016, 0x04B6,
+    0x8009, 0x0324,
+    0x8002, 0x0192,
+    0x8000, 0x0000,
+    0x8002, 0xFE6D,
+    0x8009, 0xFCDB,
+    0x8016, 0xFB49,
+    0x8027, 0xF9B8,
+    0x803D, 0xF826,
+    0x8058, 0xF695,
+    0x8078, 0xF504,
+    0x809D, 0xF374,
+    0x80C7, 0xF1E4,
+    0x80F6, 0xF054,
+    0x812A, 0xEEC6,
+    0x8162, 0xED37,
+    0x81A0, 0xEBAA,
+    0x81E2, 0xEA1D,
+    0x8229, 0xE892,
+    0x8275, 0xE707,
+    0x82C6, 0xE57D,
+    0x831C, 0xE3F4,
+    0x8376, 0xE26C,
+    0x83D6, 0xE0E6,
+    0x843A, 0xDF60,
+    0x84A2, 0xDDDC,
+    0x8510, 0xDC59,
+    0x8582, 0xDAD7,
+    0x85FA, 0xD957,
+    0x8675, 0xD7D9,
+    0x86F6, 0xD65C,
+    0x877B, 0xD4E0,
+    0x8805, 0xD367,
+    0x8893, 0xD1EE,
+    0x8926, 0xD078,
+    0x89BE, 0xCF04,
+    0x8A5A, 0xCD91,
+    0x8AFB, 0xCC21,
+    0x8BA0, 0xCAB2,
+    0x8C4A, 0xC945,
+    0x8CF8, 0xC7DB,
+    0x8DAA, 0xC673,
+    0x8E61, 0xC50D,
+    0x8F1D, 0xC3A9,
+    0x8FDC, 0xC247,
+    0x90A0, 0xC0E8,
+    0x9169, 0xBF8C,
+    0x9235, 0xBE31,
+    0x9306, 0xBCDA,
+    0x93DB, 0xBB85,
+    0x94B5, 0xBA32,
+    0x9592, 0xB8E3,
+    0x9673, 0xB796,
+    0x9759, 0xB64B,
+    0x9842, 0xB504,
+    0x9930, 0xB3C0,
+    0x9A22, 0xB27E,
+    0x9B17, 0xB140,
+    0x9C10, 0xB004,
+    0x9D0D, 0xAECC,
+    0x9E0E, 0xAD96,
+    0x9F13, 0xAC64,
+    0xA01C, 0xAB35,
+    0xA128, 0xAA0A,
+    0xA238, 0xA8E2,
+    0xA34B, 0xA7BD,
+    0xA462, 0xA69B,
+    0xA57D, 0xA57D,
+    0xA69B, 0xA462,
+    0xA7BD, 0xA34B,
+    0xA8E2, 0xA238,
+    0xAA0A, 0xA128,
+    0xAB35, 0xA01C,
+    0xAC64, 0x9F13,
+    0xAD96, 0x9E0E,
+    0xAECC, 0x9D0D,
+    0xB004, 0x9C10,
+    0xB140, 0x9B17,
+    0xB27E, 0x9A22,
+    0xB3C0, 0x9930,
+    0xB504, 0x9842,
+    0xB64B, 0x9759,
+    0xB796, 0x9673,
+    0xB8E3, 0x9592,
+    0xBA32, 0x94B5,
+    0xBB85, 0x93DB,
+    0xBCDA, 0x9306,
+    0xBE31, 0x9235,
+    0xBF8C, 0x9169,
+    0xC0E8, 0x90A0,
+    0xC247, 0x8FDC,
+    0xC3A9, 0x8F1D,
+    0xC50D, 0x8E61,
+    0xC673, 0x8DAA,
+    0xC7DB, 0x8CF8,
+    0xC945, 0x8C4A,
+    0xCAB2, 0x8BA0,
+    0xCC21, 0x8AFB,
+    0xCD91, 0x8A5A,
+    0xCF04, 0x89BE,
+    0xD078, 0x8926,
+    0xD1EE, 0x8893,
+    0xD367, 0x8805,
+    0xD4E0, 0x877B,
+    0xD65C, 0x86F6,
+    0xD7D9, 0x8675,
+    0xD957, 0x85FA,
+    0xDAD7, 0x8582,
+    0xDC59, 0x8510,
+    0xDDDC, 0x84A2,
+    0xDF60, 0x843A,
+    0xE0E6, 0x83D6,
+    0xE26C, 0x8376,
+    0xE3F4, 0x831C,
+    0xE57D, 0x82C6,
+    0xE707, 0x8275,
+    0xE892, 0x8229,
+    0xEA1D, 0x81E2,
+    0xEBAA, 0x81A0,
+    0xED37, 0x8162,
+    0xEEC6, 0x812A,
+    0xF054, 0x80F6,
+    0xF1E4, 0x80C7,
+    0xF374, 0x809D,
+    0xF504, 0x8078,
+    0xF695, 0x8058,
+    0xF826, 0x803D,
+    0xF9B8, 0x8027,
+    0xFB49, 0x8016,
+    0xFCDB, 0x8009,
+    0xFE6D, 0x8002
+};
+
+/**    
+* \par   
+* Example code for q15 Twiddle factors Generation::    
 * \par    
 * <pre>for(i = 0; i< 3N/4; i++)    
 * {    
-*	twiddleCoefQ15[2*i]= cos(i * 2*PI/(float)N);    
-*	twiddleCoefQ15[2*i+1]= sin(i * 2*PI/(float)N);    
+*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 1024	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are interleaved fashion    
+* \par    
+* Convert Floating point to q15(Fixed point 1.15):    
+*	round(twiddleCoefq15(i) * pow(2, 15))    
+*    
+*/
+const q15_t twiddleCoef_1024_q15[1536] = {
+    0x7FFF, 0x0000,
+    0x7FFF, 0x00C9,
+    0x7FFD, 0x0192,
+    0x7FFA, 0x025B,
+    0x7FF6, 0x0324,
+    0x7FF0, 0x03ED,
+    0x7FE9, 0x04B6,
+    0x7FE1, 0x057F,
+    0x7FD8, 0x0647,
+    0x7FCE, 0x0710,
+    0x7FC2, 0x07D9,
+    0x7FB5, 0x08A2,
+    0x7FA7, 0x096A,
+    0x7F97, 0x0A33,
+    0x7F87, 0x0AFB,
+    0x7F75, 0x0BC3,
+    0x7F62, 0x0C8B,
+    0x7F4D, 0x0D53,
+    0x7F38, 0x0E1B,
+    0x7F21, 0x0EE3,
+    0x7F09, 0x0FAB,
+    0x7EF0, 0x1072,
+    0x7ED5, 0x1139,
+    0x7EBA, 0x1201,
+    0x7E9D, 0x12C8,
+    0x7E7F, 0x138E,
+    0x7E5F, 0x1455,
+    0x7E3F, 0x151B,
+    0x7E1D, 0x15E2,
+    0x7DFA, 0x16A8,
+    0x7DD6, 0x176D,
+    0x7DB0, 0x1833,
+    0x7D8A, 0x18F8,
+    0x7D62, 0x19BD,
+    0x7D39, 0x1A82,
+    0x7D0F, 0x1B47,
+    0x7CE3, 0x1C0B,
+    0x7CB7, 0x1CCF,
+    0x7C89, 0x1D93,
+    0x7C5A, 0x1E56,
+    0x7C29, 0x1F19,
+    0x7BF8, 0x1FDC,
+    0x7BC5, 0x209F,
+    0x7B92, 0x2161,
+    0x7B5D, 0x2223,
+    0x7B26, 0x22E5,
+    0x7AEF, 0x23A6,
+    0x7AB6, 0x2467,
+    0x7A7D, 0x2528,
+    0x7A42, 0x25E8,
+    0x7A05, 0x26A8,
+    0x79C8, 0x2767,
+    0x798A, 0x2826,
+    0x794A, 0x28E5,
+    0x7909, 0x29A3,
+    0x78C7, 0x2A61,
+    0x7884, 0x2B1F,
+    0x7840, 0x2BDC,
+    0x77FA, 0x2C98,
+    0x77B4, 0x2D55,
+    0x776C, 0x2E11,
+    0x7723, 0x2ECC,
+    0x76D9, 0x2F87,
+    0x768E, 0x3041,
+    0x7641, 0x30FB,
+    0x75F4, 0x31B5,
+    0x75A5, 0x326E,
+    0x7555, 0x3326,
+    0x7504, 0x33DE,
+    0x74B2, 0x3496,
+    0x745F, 0x354D,
+    0x740B, 0x3604,
+    0x73B5, 0x36BA,
+    0x735F, 0x376F,
+    0x7307, 0x3824,
+    0x72AF, 0x38D8,
+    0x7255, 0x398C,
+    0x71FA, 0x3A40,
+    0x719E, 0x3AF2,
+    0x7141, 0x3BA5,
+    0x70E2, 0x3C56,
+    0x7083, 0x3D07,
+    0x7023, 0x3DB8,
+    0x6FC1, 0x3E68,
+    0x6F5F, 0x3F17,
+    0x6EFB, 0x3FC5,
+    0x6E96, 0x4073,
+    0x6E30, 0x4121,
+    0x6DCA, 0x41CE,
+    0x6D62, 0x427A,
+    0x6CF9, 0x4325,
+    0x6C8F, 0x43D0,
+    0x6C24, 0x447A,
+    0x6BB8, 0x4524,
+    0x6B4A, 0x45CD,
+    0x6ADC, 0x4675,
+    0x6A6D, 0x471C,
+    0x69FD, 0x47C3,
+    0x698C, 0x4869,
+    0x6919, 0x490F,
+    0x68A6, 0x49B4,
+    0x6832, 0x4A58,
+    0x67BD, 0x4AFB,
+    0x6746, 0x4B9E,
+    0x66CF, 0x4C3F,
+    0x6657, 0x4CE1,
+    0x65DD, 0x4D81,
+    0x6563, 0x4E21,
+    0x64E8, 0x4EBF,
+    0x646C, 0x4F5E,
+    0x63EF, 0x4FFB,
+    0x6371, 0x5097,
+    0x62F2, 0x5133,
+    0x6271, 0x51CE,
+    0x61F1, 0x5269,
+    0x616F, 0x5302,
+    0x60EC, 0x539B,
+    0x6068, 0x5433,
+    0x5FE3, 0x54CA,
+    0x5F5E, 0x5560,
+    0x5ED7, 0x55F5,
+    0x5E50, 0x568A,
+    0x5DC7, 0x571D,
+    0x5D3E, 0x57B0,
+    0x5CB4, 0x5842,
+    0x5C29, 0x58D4,
+    0x5B9D, 0x5964,
+    0x5B10, 0x59F3,
+    0x5A82, 0x5A82,
+    0x59F3, 0x5B10,
+    0x5964, 0x5B9D,
+    0x58D4, 0x5C29,
+    0x5842, 0x5CB4,
+    0x57B0, 0x5D3E,
+    0x571D, 0x5DC7,
+    0x568A, 0x5E50,
+    0x55F5, 0x5ED7,
+    0x5560, 0x5F5E,
+    0x54CA, 0x5FE3,
+    0x5433, 0x6068,
+    0x539B, 0x60EC,
+    0x5302, 0x616F,
+    0x5269, 0x61F1,
+    0x51CE, 0x6271,
+    0x5133, 0x62F2,
+    0x5097, 0x6371,
+    0x4FFB, 0x63EF,
+    0x4F5E, 0x646C,
+    0x4EBF, 0x64E8,
+    0x4E21, 0x6563,
+    0x4D81, 0x65DD,
+    0x4CE1, 0x6657,
+    0x4C3F, 0x66CF,
+    0x4B9E, 0x6746,
+    0x4AFB, 0x67BD,
+    0x4A58, 0x6832,
+    0x49B4, 0x68A6,
+    0x490F, 0x6919,
+    0x4869, 0x698C,
+    0x47C3, 0x69FD,
+    0x471C, 0x6A6D,
+    0x4675, 0x6ADC,
+    0x45CD, 0x6B4A,
+    0x4524, 0x6BB8,
+    0x447A, 0x6C24,
+    0x43D0, 0x6C8F,
+    0x4325, 0x6CF9,
+    0x427A, 0x6D62,
+    0x41CE, 0x6DCA,
+    0x4121, 0x6E30,
+    0x4073, 0x6E96,
+    0x3FC5, 0x6EFB,
+    0x3F17, 0x6F5F,
+    0x3E68, 0x6FC1,
+    0x3DB8, 0x7023,
+    0x3D07, 0x7083,
+    0x3C56, 0x70E2,
+    0x3BA5, 0x7141,
+    0x3AF2, 0x719E,
+    0x3A40, 0x71FA,
+    0x398C, 0x7255,
+    0x38D8, 0x72AF,
+    0x3824, 0x7307,
+    0x376F, 0x735F,
+    0x36BA, 0x73B5,
+    0x3604, 0x740B,
+    0x354D, 0x745F,
+    0x3496, 0x74B2,
+    0x33DE, 0x7504,
+    0x3326, 0x7555,
+    0x326E, 0x75A5,
+    0x31B5, 0x75F4,
+    0x30FB, 0x7641,
+    0x3041, 0x768E,
+    0x2F87, 0x76D9,
+    0x2ECC, 0x7723,
+    0x2E11, 0x776C,
+    0x2D55, 0x77B4,
+    0x2C98, 0x77FA,
+    0x2BDC, 0x7840,
+    0x2B1F, 0x7884,
+    0x2A61, 0x78C7,
+    0x29A3, 0x7909,
+    0x28E5, 0x794A,
+    0x2826, 0x798A,
+    0x2767, 0x79C8,
+    0x26A8, 0x7A05,
+    0x25E8, 0x7A42,
+    0x2528, 0x7A7D,
+    0x2467, 0x7AB6,
+    0x23A6, 0x7AEF,
+    0x22E5, 0x7B26,
+    0x2223, 0x7B5D,
+    0x2161, 0x7B92,
+    0x209F, 0x7BC5,
+    0x1FDC, 0x7BF8,
+    0x1F19, 0x7C29,
+    0x1E56, 0x7C5A,
+    0x1D93, 0x7C89,
+    0x1CCF, 0x7CB7,
+    0x1C0B, 0x7CE3,
+    0x1B47, 0x7D0F,
+    0x1A82, 0x7D39,
+    0x19BD, 0x7D62,
+    0x18F8, 0x7D8A,
+    0x1833, 0x7DB0,
+    0x176D, 0x7DD6,
+    0x16A8, 0x7DFA,
+    0x15E2, 0x7E1D,
+    0x151B, 0x7E3F,
+    0x1455, 0x7E5F,
+    0x138E, 0x7E7F,
+    0x12C8, 0x7E9D,
+    0x1201, 0x7EBA,
+    0x1139, 0x7ED5,
+    0x1072, 0x7EF0,
+    0x0FAB, 0x7F09,
+    0x0EE3, 0x7F21,
+    0x0E1B, 0x7F38,
+    0x0D53, 0x7F4D,
+    0x0C8B, 0x7F62,
+    0x0BC3, 0x7F75,
+    0x0AFB, 0x7F87,
+    0x0A33, 0x7F97,
+    0x096A, 0x7FA7,
+    0x08A2, 0x7FB5,
+    0x07D9, 0x7FC2,
+    0x0710, 0x7FCE,
+    0x0647, 0x7FD8,
+    0x057F, 0x7FE1,
+    0x04B6, 0x7FE9,
+    0x03ED, 0x7FF0,
+    0x0324, 0x7FF6,
+    0x025B, 0x7FFA,
+    0x0192, 0x7FFD,
+    0x00C9, 0x7FFF,
+    0x0000, 0x7FFF,
+    0xFF36, 0x7FFF,
+    0xFE6D, 0x7FFD,
+    0xFDA4, 0x7FFA,
+    0xFCDB, 0x7FF6,
+    0xFC12, 0x7FF0,
+    0xFB49, 0x7FE9,
+    0xFA80, 0x7FE1,
+    0xF9B8, 0x7FD8,
+    0xF8EF, 0x7FCE,
+    0xF826, 0x7FC2,
+    0xF75D, 0x7FB5,
+    0xF695, 0x7FA7,
+    0xF5CC, 0x7F97,
+    0xF504, 0x7F87,
+    0xF43C, 0x7F75,
+    0xF374, 0x7F62,
+    0xF2AC, 0x7F4D,
+    0xF1E4, 0x7F38,
+    0xF11C, 0x7F21,
+    0xF054, 0x7F09,
+    0xEF8D, 0x7EF0,
+    0xEEC6, 0x7ED5,
+    0xEDFE, 0x7EBA,
+    0xED37, 0x7E9D,
+    0xEC71, 0x7E7F,
+    0xEBAA, 0x7E5F,
+    0xEAE4, 0x7E3F,
+    0xEA1D, 0x7E1D,
+    0xE957, 0x7DFA,
+    0xE892, 0x7DD6,
+    0xE7CC, 0x7DB0,
+    0xE707, 0x7D8A,
+    0xE642, 0x7D62,
+    0xE57D, 0x7D39,
+    0xE4B8, 0x7D0F,
+    0xE3F4, 0x7CE3,
+    0xE330, 0x7CB7,
+    0xE26C, 0x7C89,
+    0xE1A9, 0x7C5A,
+    0xE0E6, 0x7C29,
+    0xE023, 0x7BF8,
+    0xDF60, 0x7BC5,
+    0xDE9E, 0x7B92,
+    0xDDDC, 0x7B5D,
+    0xDD1A, 0x7B26,
+    0xDC59, 0x7AEF,
+    0xDB98, 0x7AB6,
+    0xDAD7, 0x7A7D,
+    0xDA17, 0x7A42,
+    0xD957, 0x7A05,
+    0xD898, 0x79C8,
+    0xD7D9, 0x798A,
+    0xD71A, 0x794A,
+    0xD65C, 0x7909,
+    0xD59E, 0x78C7,
+    0xD4E0, 0x7884,
+    0xD423, 0x7840,
+    0xD367, 0x77FA,
+    0xD2AA, 0x77B4,
+    0xD1EE, 0x776C,
+    0xD133, 0x7723,
+    0xD078, 0x76D9,
+    0xCFBE, 0x768E,
+    0xCF04, 0x7641,
+    0xCE4A, 0x75F4,
+    0xCD91, 0x75A5,
+    0xCCD9, 0x7555,
+    0xCC21, 0x7504,
+    0xCB69, 0x74B2,
+    0xCAB2, 0x745F,
+    0xC9FB, 0x740B,
+    0xC945, 0x73B5,
+    0xC890, 0x735F,
+    0xC7DB, 0x7307,
+    0xC727, 0x72AF,
+    0xC673, 0x7255,
+    0xC5BF, 0x71FA,
+    0xC50D, 0x719E,
+    0xC45A, 0x7141,
+    0xC3A9, 0x70E2,
+    0xC2F8, 0x7083,
+    0xC247, 0x7023,
+    0xC197, 0x6FC1,
+    0xC0E8, 0x6F5F,
+    0xC03A, 0x6EFB,
+    0xBF8C, 0x6E96,
+    0xBEDE, 0x6E30,
+    0xBE31, 0x6DCA,
+    0xBD85, 0x6D62,
+    0xBCDA, 0x6CF9,
+    0xBC2F, 0x6C8F,
+    0xBB85, 0x6C24,
+    0xBADB, 0x6BB8,
+    0xBA32, 0x6B4A,
+    0xB98A, 0x6ADC,
+    0xB8E3, 0x6A6D,
+    0xB83C, 0x69FD,
+    0xB796, 0x698C,
+    0xB6F0, 0x6919,
+    0xB64B, 0x68A6,
+    0xB5A7, 0x6832,
+    0xB504, 0x67BD,
+    0xB461, 0x6746,
+    0xB3C0, 0x66CF,
+    0xB31E, 0x6657,
+    0xB27E, 0x65DD,
+    0xB1DE, 0x6563,
+    0xB140, 0x64E8,
+    0xB0A1, 0x646C,
+    0xB004, 0x63EF,
+    0xAF68, 0x6371,
+    0xAECC, 0x62F2,
+    0xAE31, 0x6271,
+    0xAD96, 0x61F1,
+    0xACFD, 0x616F,
+    0xAC64, 0x60EC,
+    0xABCC, 0x6068,
+    0xAB35, 0x5FE3,
+    0xAA9F, 0x5F5E,
+    0xAA0A, 0x5ED7,
+    0xA975, 0x5E50,
+    0xA8E2, 0x5DC7,
+    0xA84F, 0x5D3E,
+    0xA7BD, 0x5CB4,
+    0xA72B, 0x5C29,
+    0xA69B, 0x5B9D,
+    0xA60C, 0x5B10,
+    0xA57D, 0x5A82,
+    0xA4EF, 0x59F3,
+    0xA462, 0x5964,
+    0xA3D6, 0x58D4,
+    0xA34B, 0x5842,
+    0xA2C1, 0x57B0,
+    0xA238, 0x571D,
+    0xA1AF, 0x568A,
+    0xA128, 0x55F5,
+    0xA0A1, 0x5560,
+    0xA01C, 0x54CA,
+    0x9F97, 0x5433,
+    0x9F13, 0x539B,
+    0x9E90, 0x5302,
+    0x9E0E, 0x5269,
+    0x9D8E, 0x51CE,
+    0x9D0D, 0x5133,
+    0x9C8E, 0x5097,
+    0x9C10, 0x4FFB,
+    0x9B93, 0x4F5E,
+    0x9B17, 0x4EBF,
+    0x9A9C, 0x4E21,
+    0x9A22, 0x4D81,
+    0x99A8, 0x4CE1,
+    0x9930, 0x4C3F,
+    0x98B9, 0x4B9E,
+    0x9842, 0x4AFB,
+    0x97CD, 0x4A58,
+    0x9759, 0x49B4,
+    0x96E6, 0x490F,
+    0x9673, 0x4869,
+    0x9602, 0x47C3,
+    0x9592, 0x471C,
+    0x9523, 0x4675,
+    0x94B5, 0x45CD,
+    0x9447, 0x4524,
+    0x93DB, 0x447A,
+    0x9370, 0x43D0,
+    0x9306, 0x4325,
+    0x929D, 0x427A,
+    0x9235, 0x41CE,
+    0x91CF, 0x4121,
+    0x9169, 0x4073,
+    0x9104, 0x3FC5,
+    0x90A0, 0x3F17,
+    0x903E, 0x3E68,
+    0x8FDC, 0x3DB8,
+    0x8F7C, 0x3D07,
+    0x8F1D, 0x3C56,
+    0x8EBE, 0x3BA5,
+    0x8E61, 0x3AF2,
+    0x8E05, 0x3A40,
+    0x8DAA, 0x398C,
+    0x8D50, 0x38D8,
+    0x8CF8, 0x3824,
+    0x8CA0, 0x376F,
+    0x8C4A, 0x36BA,
+    0x8BF4, 0x3604,
+    0x8BA0, 0x354D,
+    0x8B4D, 0x3496,
+    0x8AFB, 0x33DE,
+    0x8AAA, 0x3326,
+    0x8A5A, 0x326E,
+    0x8A0B, 0x31B5,
+    0x89BE, 0x30FB,
+    0x8971, 0x3041,
+    0x8926, 0x2F87,
+    0x88DC, 0x2ECC,
+    0x8893, 0x2E11,
+    0x884B, 0x2D55,
+    0x8805, 0x2C98,
+    0x87BF, 0x2BDC,
+    0x877B, 0x2B1F,
+    0x8738, 0x2A61,
+    0x86F6, 0x29A3,
+    0x86B5, 0x28E5,
+    0x8675, 0x2826,
+    0x8637, 0x2767,
+    0x85FA, 0x26A8,
+    0x85BD, 0x25E8,
+    0x8582, 0x2528,
+    0x8549, 0x2467,
+    0x8510, 0x23A6,
+    0x84D9, 0x22E5,
+    0x84A2, 0x2223,
+    0x846D, 0x2161,
+    0x843A, 0x209F,
+    0x8407, 0x1FDC,
+    0x83D6, 0x1F19,
+    0x83A5, 0x1E56,
+    0x8376, 0x1D93,
+    0x8348, 0x1CCF,
+    0x831C, 0x1C0B,
+    0x82F0, 0x1B47,
+    0x82C6, 0x1A82,
+    0x829D, 0x19BD,
+    0x8275, 0x18F8,
+    0x824F, 0x1833,
+    0x8229, 0x176D,
+    0x8205, 0x16A8,
+    0x81E2, 0x15E2,
+    0x81C0, 0x151B,
+    0x81A0, 0x1455,
+    0x8180, 0x138E,
+    0x8162, 0x12C8,
+    0x8145, 0x1201,
+    0x812A, 0x1139,
+    0x810F, 0x1072,
+    0x80F6, 0x0FAB,
+    0x80DE, 0x0EE3,
+    0x80C7, 0x0E1B,
+    0x80B2, 0x0D53,
+    0x809D, 0x0C8B,
+    0x808A, 0x0BC3,
+    0x8078, 0x0AFB,
+    0x8068, 0x0A33,
+    0x8058, 0x096A,
+    0x804A, 0x08A2,
+    0x803D, 0x07D9,
+    0x8031, 0x0710,
+    0x8027, 0x0647,
+    0x801E, 0x057F,
+    0x8016, 0x04B6,
+    0x800F, 0x03ED,
+    0x8009, 0x0324,
+    0x8005, 0x025B,
+    0x8002, 0x0192,
+    0x8000, 0x00C9,
+    0x8000, 0x0000,
+    0x8000, 0xFF36,
+    0x8002, 0xFE6D,
+    0x8005, 0xFDA4,
+    0x8009, 0xFCDB,
+    0x800F, 0xFC12,
+    0x8016, 0xFB49,
+    0x801E, 0xFA80,
+    0x8027, 0xF9B8,
+    0x8031, 0xF8EF,
+    0x803D, 0xF826,
+    0x804A, 0xF75D,
+    0x8058, 0xF695,
+    0x8068, 0xF5CC,
+    0x8078, 0xF504,
+    0x808A, 0xF43C,
+    0x809D, 0xF374,
+    0x80B2, 0xF2AC,
+    0x80C7, 0xF1E4,
+    0x80DE, 0xF11C,
+    0x80F6, 0xF054,
+    0x810F, 0xEF8D,
+    0x812A, 0xEEC6,
+    0x8145, 0xEDFE,
+    0x8162, 0xED37,
+    0x8180, 0xEC71,
+    0x81A0, 0xEBAA,
+    0x81C0, 0xEAE4,
+    0x81E2, 0xEA1D,
+    0x8205, 0xE957,
+    0x8229, 0xE892,
+    0x824F, 0xE7CC,
+    0x8275, 0xE707,
+    0x829D, 0xE642,
+    0x82C6, 0xE57D,
+    0x82F0, 0xE4B8,
+    0x831C, 0xE3F4,
+    0x8348, 0xE330,
+    0x8376, 0xE26C,
+    0x83A5, 0xE1A9,
+    0x83D6, 0xE0E6,
+    0x8407, 0xE023,
+    0x843A, 0xDF60,
+    0x846D, 0xDE9E,
+    0x84A2, 0xDDDC,
+    0x84D9, 0xDD1A,
+    0x8510, 0xDC59,
+    0x8549, 0xDB98,
+    0x8582, 0xDAD7,
+    0x85BD, 0xDA17,
+    0x85FA, 0xD957,
+    0x8637, 0xD898,
+    0x8675, 0xD7D9,
+    0x86B5, 0xD71A,
+    0x86F6, 0xD65C,
+    0x8738, 0xD59E,
+    0x877B, 0xD4E0,
+    0x87BF, 0xD423,
+    0x8805, 0xD367,
+    0x884B, 0xD2AA,
+    0x8893, 0xD1EE,
+    0x88DC, 0xD133,
+    0x8926, 0xD078,
+    0x8971, 0xCFBE,
+    0x89BE, 0xCF04,
+    0x8A0B, 0xCE4A,
+    0x8A5A, 0xCD91,
+    0x8AAA, 0xCCD9,
+    0x8AFB, 0xCC21,
+    0x8B4D, 0xCB69,
+    0x8BA0, 0xCAB2,
+    0x8BF4, 0xC9FB,
+    0x8C4A, 0xC945,
+    0x8CA0, 0xC890,
+    0x8CF8, 0xC7DB,
+    0x8D50, 0xC727,
+    0x8DAA, 0xC673,
+    0x8E05, 0xC5BF,
+    0x8E61, 0xC50D,
+    0x8EBE, 0xC45A,
+    0x8F1D, 0xC3A9,
+    0x8F7C, 0xC2F8,
+    0x8FDC, 0xC247,
+    0x903E, 0xC197,
+    0x90A0, 0xC0E8,
+    0x9104, 0xC03A,
+    0x9169, 0xBF8C,
+    0x91CF, 0xBEDE,
+    0x9235, 0xBE31,
+    0x929D, 0xBD85,
+    0x9306, 0xBCDA,
+    0x9370, 0xBC2F,
+    0x93DB, 0xBB85,
+    0x9447, 0xBADB,
+    0x94B5, 0xBA32,
+    0x9523, 0xB98A,
+    0x9592, 0xB8E3,
+    0x9602, 0xB83C,
+    0x9673, 0xB796,
+    0x96E6, 0xB6F0,
+    0x9759, 0xB64B,
+    0x97CD, 0xB5A7,
+    0x9842, 0xB504,
+    0x98B9, 0xB461,
+    0x9930, 0xB3C0,
+    0x99A8, 0xB31E,
+    0x9A22, 0xB27E,
+    0x9A9C, 0xB1DE,
+    0x9B17, 0xB140,
+    0x9B93, 0xB0A1,
+    0x9C10, 0xB004,
+    0x9C8E, 0xAF68,
+    0x9D0D, 0xAECC,
+    0x9D8E, 0xAE31,
+    0x9E0E, 0xAD96,
+    0x9E90, 0xACFD,
+    0x9F13, 0xAC64,
+    0x9F97, 0xABCC,
+    0xA01C, 0xAB35,
+    0xA0A1, 0xAA9F,
+    0xA128, 0xAA0A,
+    0xA1AF, 0xA975,
+    0xA238, 0xA8E2,
+    0xA2C1, 0xA84F,
+    0xA34B, 0xA7BD,
+    0xA3D6, 0xA72B,
+    0xA462, 0xA69B,
+    0xA4EF, 0xA60C,
+    0xA57D, 0xA57D,
+    0xA60C, 0xA4EF,
+    0xA69B, 0xA462,
+    0xA72B, 0xA3D6,
+    0xA7BD, 0xA34B,
+    0xA84F, 0xA2C1,
+    0xA8E2, 0xA238,
+    0xA975, 0xA1AF,
+    0xAA0A, 0xA128,
+    0xAA9F, 0xA0A1,
+    0xAB35, 0xA01C,
+    0xABCC, 0x9F97,
+    0xAC64, 0x9F13,
+    0xACFD, 0x9E90,
+    0xAD96, 0x9E0E,
+    0xAE31, 0x9D8E,
+    0xAECC, 0x9D0D,
+    0xAF68, 0x9C8E,
+    0xB004, 0x9C10,
+    0xB0A1, 0x9B93,
+    0xB140, 0x9B17,
+    0xB1DE, 0x9A9C,
+    0xB27E, 0x9A22,
+    0xB31E, 0x99A8,
+    0xB3C0, 0x9930,
+    0xB461, 0x98B9,
+    0xB504, 0x9842,
+    0xB5A7, 0x97CD,
+    0xB64B, 0x9759,
+    0xB6F0, 0x96E6,
+    0xB796, 0x9673,
+    0xB83C, 0x9602,
+    0xB8E3, 0x9592,
+    0xB98A, 0x9523,
+    0xBA32, 0x94B5,
+    0xBADB, 0x9447,
+    0xBB85, 0x93DB,
+    0xBC2F, 0x9370,
+    0xBCDA, 0x9306,
+    0xBD85, 0x929D,
+    0xBE31, 0x9235,
+    0xBEDE, 0x91CF,
+    0xBF8C, 0x9169,
+    0xC03A, 0x9104,
+    0xC0E8, 0x90A0,
+    0xC197, 0x903E,
+    0xC247, 0x8FDC,
+    0xC2F8, 0x8F7C,
+    0xC3A9, 0x8F1D,
+    0xC45A, 0x8EBE,
+    0xC50D, 0x8E61,
+    0xC5BF, 0x8E05,
+    0xC673, 0x8DAA,
+    0xC727, 0x8D50,
+    0xC7DB, 0x8CF8,
+    0xC890, 0x8CA0,
+    0xC945, 0x8C4A,
+    0xC9FB, 0x8BF4,
+    0xCAB2, 0x8BA0,
+    0xCB69, 0x8B4D,
+    0xCC21, 0x8AFB,
+    0xCCD9, 0x8AAA,
+    0xCD91, 0x8A5A,
+    0xCE4A, 0x8A0B,
+    0xCF04, 0x89BE,
+    0xCFBE, 0x8971,
+    0xD078, 0x8926,
+    0xD133, 0x88DC,
+    0xD1EE, 0x8893,
+    0xD2AA, 0x884B,
+    0xD367, 0x8805,
+    0xD423, 0x87BF,
+    0xD4E0, 0x877B,
+    0xD59E, 0x8738,
+    0xD65C, 0x86F6,
+    0xD71A, 0x86B5,
+    0xD7D9, 0x8675,
+    0xD898, 0x8637,
+    0xD957, 0x85FA,
+    0xDA17, 0x85BD,
+    0xDAD7, 0x8582,
+    0xDB98, 0x8549,
+    0xDC59, 0x8510,
+    0xDD1A, 0x84D9,
+    0xDDDC, 0x84A2,
+    0xDE9E, 0x846D,
+    0xDF60, 0x843A,
+    0xE023, 0x8407,
+    0xE0E6, 0x83D6,
+    0xE1A9, 0x83A5,
+    0xE26C, 0x8376,
+    0xE330, 0x8348,
+    0xE3F4, 0x831C,
+    0xE4B8, 0x82F0,
+    0xE57D, 0x82C6,
+    0xE642, 0x829D,
+    0xE707, 0x8275,
+    0xE7CC, 0x824F,
+    0xE892, 0x8229,
+    0xE957, 0x8205,
+    0xEA1D, 0x81E2,
+    0xEAE4, 0x81C0,
+    0xEBAA, 0x81A0,
+    0xEC71, 0x8180,
+    0xED37, 0x8162,
+    0xEDFE, 0x8145,
+    0xEEC6, 0x812A,
+    0xEF8D, 0x810F,
+    0xF054, 0x80F6,
+    0xF11C, 0x80DE,
+    0xF1E4, 0x80C7,
+    0xF2AC, 0x80B2,
+    0xF374, 0x809D,
+    0xF43C, 0x808A,
+    0xF504, 0x8078,
+    0xF5CC, 0x8068,
+    0xF695, 0x8058,
+    0xF75D, 0x804A,
+    0xF826, 0x803D,
+    0xF8EF, 0x8031,
+    0xF9B8, 0x8027,
+    0xFA80, 0x801E,
+    0xFB49, 0x8016,
+    0xFC12, 0x800F,
+    0xFCDB, 0x8009,
+    0xFDA4, 0x8005,
+    0xFE6D, 0x8002,
+    0xFF36, 0x8000
+};
+
+/**    
+* \par   
+* Example code for q15 Twiddle factors Generation::    
+* \par    
+* <pre>for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 2048	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are interleaved fashion    
+* \par    
+* Convert Floating point to q15(Fixed point 1.15):    
+*	round(twiddleCoefq15(i) * pow(2, 15))    
+*    
+*/
+const q15_t twiddleCoef_2048_q15[3072] = {
+    0x7FFF, 0x0000,
+    0x7FFF, 0x0064,
+    0x7FFF, 0x00C9,
+    0x7FFE, 0x012D,
+    0x7FFD, 0x0192,
+    0x7FFC, 0x01F6,
+    0x7FFA, 0x025B,
+    0x7FF8, 0x02BF,
+    0x7FF6, 0x0324,
+    0x7FF3, 0x0388,
+    0x7FF0, 0x03ED,
+    0x7FED, 0x0451,
+    0x7FE9, 0x04B6,
+    0x7FE5, 0x051A,
+    0x7FE1, 0x057F,
+    0x7FDD, 0x05E3,
+    0x7FD8, 0x0647,
+    0x7FD3, 0x06AC,
+    0x7FCE, 0x0710,
+    0x7FC8, 0x0775,
+    0x7FC2, 0x07D9,
+    0x7FBC, 0x083D,
+    0x7FB5, 0x08A2,
+    0x7FAE, 0x0906,
+    0x7FA7, 0x096A,
+    0x7F9F, 0x09CE,
+    0x7F97, 0x0A33,
+    0x7F8F, 0x0A97,
+    0x7F87, 0x0AFB,
+    0x7F7E, 0x0B5F,
+    0x7F75, 0x0BC3,
+    0x7F6B, 0x0C27,
+    0x7F62, 0x0C8B,
+    0x7F58, 0x0CEF,
+    0x7F4D, 0x0D53,
+    0x7F43, 0x0DB7,
+    0x7F38, 0x0E1B,
+    0x7F2D, 0x0E7F,
+    0x7F21, 0x0EE3,
+    0x7F15, 0x0F47,
+    0x7F09, 0x0FAB,
+    0x7EFD, 0x100E,
+    0x7EF0, 0x1072,
+    0x7EE3, 0x10D6,
+    0x7ED5, 0x1139,
+    0x7EC8, 0x119D,
+    0x7EBA, 0x1201,
+    0x7EAB, 0x1264,
+    0x7E9D, 0x12C8,
+    0x7E8E, 0x132B,
+    0x7E7F, 0x138E,
+    0x7E6F, 0x13F2,
+    0x7E5F, 0x1455,
+    0x7E4F, 0x14B8,
+    0x7E3F, 0x151B,
+    0x7E2E, 0x157F,
+    0x7E1D, 0x15E2,
+    0x7E0C, 0x1645,
+    0x7DFA, 0x16A8,
+    0x7DE8, 0x170A,
+    0x7DD6, 0x176D,
+    0x7DC3, 0x17D0,
+    0x7DB0, 0x1833,
+    0x7D9D, 0x1896,
+    0x7D8A, 0x18F8,
+    0x7D76, 0x195B,
+    0x7D62, 0x19BD,
+    0x7D4E, 0x1A20,
+    0x7D39, 0x1A82,
+    0x7D24, 0x1AE4,
+    0x7D0F, 0x1B47,
+    0x7CF9, 0x1BA9,
+    0x7CE3, 0x1C0B,
+    0x7CCD, 0x1C6D,
+    0x7CB7, 0x1CCF,
+    0x7CA0, 0x1D31,
+    0x7C89, 0x1D93,
+    0x7C71, 0x1DF5,
+    0x7C5A, 0x1E56,
+    0x7C42, 0x1EB8,
+    0x7C29, 0x1F19,
+    0x7C11, 0x1F7B,
+    0x7BF8, 0x1FDC,
+    0x7BDF, 0x203E,
+    0x7BC5, 0x209F,
+    0x7BAC, 0x2100,
+    0x7B92, 0x2161,
+    0x7B77, 0x21C2,
+    0x7B5D, 0x2223,
+    0x7B42, 0x2284,
+    0x7B26, 0x22E5,
+    0x7B0B, 0x2345,
+    0x7AEF, 0x23A6,
+    0x7AD3, 0x2407,
+    0x7AB6, 0x2467,
+    0x7A9A, 0x24C7,
+    0x7A7D, 0x2528,
+    0x7A5F, 0x2588,
+    0x7A42, 0x25E8,
+    0x7A24, 0x2648,
+    0x7A05, 0x26A8,
+    0x79E7, 0x2707,
+    0x79C8, 0x2767,
+    0x79A9, 0x27C7,
+    0x798A, 0x2826,
+    0x796A, 0x2886,
+    0x794A, 0x28E5,
+    0x792A, 0x2944,
+    0x7909, 0x29A3,
+    0x78E8, 0x2A02,
+    0x78C7, 0x2A61,
+    0x78A6, 0x2AC0,
+    0x7884, 0x2B1F,
+    0x7862, 0x2B7D,
+    0x7840, 0x2BDC,
+    0x781D, 0x2C3A,
+    0x77FA, 0x2C98,
+    0x77D7, 0x2CF7,
+    0x77B4, 0x2D55,
+    0x7790, 0x2DB3,
+    0x776C, 0x2E11,
+    0x7747, 0x2E6E,
+    0x7723, 0x2ECC,
+    0x76FE, 0x2F29,
+    0x76D9, 0x2F87,
+    0x76B3, 0x2FE4,
+    0x768E, 0x3041,
+    0x7668, 0x309E,
+    0x7641, 0x30FB,
+    0x761B, 0x3158,
+    0x75F4, 0x31B5,
+    0x75CC, 0x3211,
+    0x75A5, 0x326E,
+    0x757D, 0x32CA,
+    0x7555, 0x3326,
+    0x752D, 0x3382,
+    0x7504, 0x33DE,
+    0x74DB, 0x343A,
+    0x74B2, 0x3496,
+    0x7489, 0x34F2,
+    0x745F, 0x354D,
+    0x7435, 0x35A8,
+    0x740B, 0x3604,
+    0x73E0, 0x365F,
+    0x73B5, 0x36BA,
+    0x738A, 0x3714,
+    0x735F, 0x376F,
+    0x7333, 0x37CA,
+    0x7307, 0x3824,
+    0x72DB, 0x387E,
+    0x72AF, 0x38D8,
+    0x7282, 0x3932,
+    0x7255, 0x398C,
+    0x7227, 0x39E6,
+    0x71FA, 0x3A40,
+    0x71CC, 0x3A99,
+    0x719E, 0x3AF2,
+    0x716F, 0x3B4C,
+    0x7141, 0x3BA5,
+    0x7112, 0x3BFD,
+    0x70E2, 0x3C56,
+    0x70B3, 0x3CAF,
+    0x7083, 0x3D07,
+    0x7053, 0x3D60,
+    0x7023, 0x3DB8,
+    0x6FF2, 0x3E10,
+    0x6FC1, 0x3E68,
+    0x6F90, 0x3EBF,
+    0x6F5F, 0x3F17,
+    0x6F2D, 0x3F6E,
+    0x6EFB, 0x3FC5,
+    0x6EC9, 0x401D,
+    0x6E96, 0x4073,
+    0x6E63, 0x40CA,
+    0x6E30, 0x4121,
+    0x6DFD, 0x4177,
+    0x6DCA, 0x41CE,
+    0x6D96, 0x4224,
+    0x6D62, 0x427A,
+    0x6D2D, 0x42D0,
+    0x6CF9, 0x4325,
+    0x6CC4, 0x437B,
+    0x6C8F, 0x43D0,
+    0x6C59, 0x4425,
+    0x6C24, 0x447A,
+    0x6BEE, 0x44CF,
+    0x6BB8, 0x4524,
+    0x6B81, 0x4578,
+    0x6B4A, 0x45CD,
+    0x6B13, 0x4621,
+    0x6ADC, 0x4675,
+    0x6AA5, 0x46C9,
+    0x6A6D, 0x471C,
+    0x6A35, 0x4770,
+    0x69FD, 0x47C3,
+    0x69C4, 0x4816,
+    0x698C, 0x4869,
+    0x6953, 0x48BC,
+    0x6919, 0x490F,
+    0x68E0, 0x4961,
+    0x68A6, 0x49B4,
+    0x686C, 0x4A06,
+    0x6832, 0x4A58,
+    0x67F7, 0x4AA9,
+    0x67BD, 0x4AFB,
+    0x6782, 0x4B4C,
+    0x6746, 0x4B9E,
+    0x670B, 0x4BEF,
+    0x66CF, 0x4C3F,
+    0x6693, 0x4C90,
+    0x6657, 0x4CE1,
+    0x661A, 0x4D31,
+    0x65DD, 0x4D81,
+    0x65A0, 0x4DD1,
+    0x6563, 0x4E21,
+    0x6526, 0x4E70,
+    0x64E8, 0x4EBF,
+    0x64AA, 0x4F0F,
+    0x646C, 0x4F5E,
+    0x642D, 0x4FAC,
+    0x63EF, 0x4FFB,
+    0x63B0, 0x5049,
+    0x6371, 0x5097,
+    0x6331, 0x50E5,
+    0x62F2, 0x5133,
+    0x62B2, 0x5181,
+    0x6271, 0x51CE,
+    0x6231, 0x521C,
+    0x61F1, 0x5269,
+    0x61B0, 0x52B5,
+    0x616F, 0x5302,
+    0x612D, 0x534E,
+    0x60EC, 0x539B,
+    0x60AA, 0x53E7,
+    0x6068, 0x5433,
+    0x6026, 0x547E,
+    0x5FE3, 0x54CA,
+    0x5FA0, 0x5515,
+    0x5F5E, 0x5560,
+    0x5F1A, 0x55AB,
+    0x5ED7, 0x55F5,
+    0x5E93, 0x5640,
+    0x5E50, 0x568A,
+    0x5E0B, 0x56D4,
+    0x5DC7, 0x571D,
+    0x5D83, 0x5767,
+    0x5D3E, 0x57B0,
+    0x5CF9, 0x57F9,
+    0x5CB4, 0x5842,
+    0x5C6E, 0x588B,
+    0x5C29, 0x58D4,
+    0x5BE3, 0x591C,
+    0x5B9D, 0x5964,
+    0x5B56, 0x59AC,
+    0x5B10, 0x59F3,
+    0x5AC9, 0x5A3B,
+    0x5A82, 0x5A82,
+    0x5A3B, 0x5AC9,
+    0x59F3, 0x5B10,
+    0x59AC, 0x5B56,
+    0x5964, 0x5B9D,
+    0x591C, 0x5BE3,
+    0x58D4, 0x5C29,
+    0x588B, 0x5C6E,
+    0x5842, 0x5CB4,
+    0x57F9, 0x5CF9,
+    0x57B0, 0x5D3E,
+    0x5767, 0x5D83,
+    0x571D, 0x5DC7,
+    0x56D4, 0x5E0B,
+    0x568A, 0x5E50,
+    0x5640, 0x5E93,
+    0x55F5, 0x5ED7,
+    0x55AB, 0x5F1A,
+    0x5560, 0x5F5E,
+    0x5515, 0x5FA0,
+    0x54CA, 0x5FE3,
+    0x547E, 0x6026,
+    0x5433, 0x6068,
+    0x53E7, 0x60AA,
+    0x539B, 0x60EC,
+    0x534E, 0x612D,
+    0x5302, 0x616F,
+    0x52B5, 0x61B0,
+    0x5269, 0x61F1,
+    0x521C, 0x6231,
+    0x51CE, 0x6271,
+    0x5181, 0x62B2,
+    0x5133, 0x62F2,
+    0x50E5, 0x6331,
+    0x5097, 0x6371,
+    0x5049, 0x63B0,
+    0x4FFB, 0x63EF,
+    0x4FAC, 0x642D,
+    0x4F5E, 0x646C,
+    0x4F0F, 0x64AA,
+    0x4EBF, 0x64E8,
+    0x4E70, 0x6526,
+    0x4E21, 0x6563,
+    0x4DD1, 0x65A0,
+    0x4D81, 0x65DD,
+    0x4D31, 0x661A,
+    0x4CE1, 0x6657,
+    0x4C90, 0x6693,
+    0x4C3F, 0x66CF,
+    0x4BEF, 0x670B,
+    0x4B9E, 0x6746,
+    0x4B4C, 0x6782,
+    0x4AFB, 0x67BD,
+    0x4AA9, 0x67F7,
+    0x4A58, 0x6832,
+    0x4A06, 0x686C,
+    0x49B4, 0x68A6,
+    0x4961, 0x68E0,
+    0x490F, 0x6919,
+    0x48BC, 0x6953,
+    0x4869, 0x698C,
+    0x4816, 0x69C4,
+    0x47C3, 0x69FD,
+    0x4770, 0x6A35,
+    0x471C, 0x6A6D,
+    0x46C9, 0x6AA5,
+    0x4675, 0x6ADC,
+    0x4621, 0x6B13,
+    0x45CD, 0x6B4A,
+    0x4578, 0x6B81,
+    0x4524, 0x6BB8,
+    0x44CF, 0x6BEE,
+    0x447A, 0x6C24,
+    0x4425, 0x6C59,
+    0x43D0, 0x6C8F,
+    0x437B, 0x6CC4,
+    0x4325, 0x6CF9,
+    0x42D0, 0x6D2D,
+    0x427A, 0x6D62,
+    0x4224, 0x6D96,
+    0x41CE, 0x6DCA,
+    0x4177, 0x6DFD,
+    0x4121, 0x6E30,
+    0x40CA, 0x6E63,
+    0x4073, 0x6E96,
+    0x401D, 0x6EC9,
+    0x3FC5, 0x6EFB,
+    0x3F6E, 0x6F2D,
+    0x3F17, 0x6F5F,
+    0x3EBF, 0x6F90,
+    0x3E68, 0x6FC1,
+    0x3E10, 0x6FF2,
+    0x3DB8, 0x7023,
+    0x3D60, 0x7053,
+    0x3D07, 0x7083,
+    0x3CAF, 0x70B3,
+    0x3C56, 0x70E2,
+    0x3BFD, 0x7112,
+    0x3BA5, 0x7141,
+    0x3B4C, 0x716F,
+    0x3AF2, 0x719E,
+    0x3A99, 0x71CC,
+    0x3A40, 0x71FA,
+    0x39E6, 0x7227,
+    0x398C, 0x7255,
+    0x3932, 0x7282,
+    0x38D8, 0x72AF,
+    0x387E, 0x72DB,
+    0x3824, 0x7307,
+    0x37CA, 0x7333,
+    0x376F, 0x735F,
+    0x3714, 0x738A,
+    0x36BA, 0x73B5,
+    0x365F, 0x73E0,
+    0x3604, 0x740B,
+    0x35A8, 0x7435,
+    0x354D, 0x745F,
+    0x34F2, 0x7489,
+    0x3496, 0x74B2,
+    0x343A, 0x74DB,
+    0x33DE, 0x7504,
+    0x3382, 0x752D,
+    0x3326, 0x7555,
+    0x32CA, 0x757D,
+    0x326E, 0x75A5,
+    0x3211, 0x75CC,
+    0x31B5, 0x75F4,
+    0x3158, 0x761B,
+    0x30FB, 0x7641,
+    0x309E, 0x7668,
+    0x3041, 0x768E,
+    0x2FE4, 0x76B3,
+    0x2F87, 0x76D9,
+    0x2F29, 0x76FE,
+    0x2ECC, 0x7723,
+    0x2E6E, 0x7747,
+    0x2E11, 0x776C,
+    0x2DB3, 0x7790,
+    0x2D55, 0x77B4,
+    0x2CF7, 0x77D7,
+    0x2C98, 0x77FA,
+    0x2C3A, 0x781D,
+    0x2BDC, 0x7840,
+    0x2B7D, 0x7862,
+    0x2B1F, 0x7884,
+    0x2AC0, 0x78A6,
+    0x2A61, 0x78C7,
+    0x2A02, 0x78E8,
+    0x29A3, 0x7909,
+    0x2944, 0x792A,
+    0x28E5, 0x794A,
+    0x2886, 0x796A,
+    0x2826, 0x798A,
+    0x27C7, 0x79A9,
+    0x2767, 0x79C8,
+    0x2707, 0x79E7,
+    0x26A8, 0x7A05,
+    0x2648, 0x7A24,
+    0x25E8, 0x7A42,
+    0x2588, 0x7A5F,
+    0x2528, 0x7A7D,
+    0x24C7, 0x7A9A,
+    0x2467, 0x7AB6,
+    0x2407, 0x7AD3,
+    0x23A6, 0x7AEF,
+    0x2345, 0x7B0B,
+    0x22E5, 0x7B26,
+    0x2284, 0x7B42,
+    0x2223, 0x7B5D,
+    0x21C2, 0x7B77,
+    0x2161, 0x7B92,
+    0x2100, 0x7BAC,
+    0x209F, 0x7BC5,
+    0x203E, 0x7BDF,
+    0x1FDC, 0x7BF8,
+    0x1F7B, 0x7C11,
+    0x1F19, 0x7C29,
+    0x1EB8, 0x7C42,
+    0x1E56, 0x7C5A,
+    0x1DF5, 0x7C71,
+    0x1D93, 0x7C89,
+    0x1D31, 0x7CA0,
+    0x1CCF, 0x7CB7,
+    0x1C6D, 0x7CCD,
+    0x1C0B, 0x7CE3,
+    0x1BA9, 0x7CF9,
+    0x1B47, 0x7D0F,
+    0x1AE4, 0x7D24,
+    0x1A82, 0x7D39,
+    0x1A20, 0x7D4E,
+    0x19BD, 0x7D62,
+    0x195B, 0x7D76,
+    0x18F8, 0x7D8A,
+    0x1896, 0x7D9D,
+    0x1833, 0x7DB0,
+    0x17D0, 0x7DC3,
+    0x176D, 0x7DD6,
+    0x170A, 0x7DE8,
+    0x16A8, 0x7DFA,
+    0x1645, 0x7E0C,
+    0x15E2, 0x7E1D,
+    0x157F, 0x7E2E,
+    0x151B, 0x7E3F,
+    0x14B8, 0x7E4F,
+    0x1455, 0x7E5F,
+    0x13F2, 0x7E6F,
+    0x138E, 0x7E7F,
+    0x132B, 0x7E8E,
+    0x12C8, 0x7E9D,
+    0x1264, 0x7EAB,
+    0x1201, 0x7EBA,
+    0x119D, 0x7EC8,
+    0x1139, 0x7ED5,
+    0x10D6, 0x7EE3,
+    0x1072, 0x7EF0,
+    0x100E, 0x7EFD,
+    0x0FAB, 0x7F09,
+    0x0F47, 0x7F15,
+    0x0EE3, 0x7F21,
+    0x0E7F, 0x7F2D,
+    0x0E1B, 0x7F38,
+    0x0DB7, 0x7F43,
+    0x0D53, 0x7F4D,
+    0x0CEF, 0x7F58,
+    0x0C8B, 0x7F62,
+    0x0C27, 0x7F6B,
+    0x0BC3, 0x7F75,
+    0x0B5F, 0x7F7E,
+    0x0AFB, 0x7F87,
+    0x0A97, 0x7F8F,
+    0x0A33, 0x7F97,
+    0x09CE, 0x7F9F,
+    0x096A, 0x7FA7,
+    0x0906, 0x7FAE,
+    0x08A2, 0x7FB5,
+    0x083D, 0x7FBC,
+    0x07D9, 0x7FC2,
+    0x0775, 0x7FC8,
+    0x0710, 0x7FCE,
+    0x06AC, 0x7FD3,
+    0x0647, 0x7FD8,
+    0x05E3, 0x7FDD,
+    0x057F, 0x7FE1,
+    0x051A, 0x7FE5,
+    0x04B6, 0x7FE9,
+    0x0451, 0x7FED,
+    0x03ED, 0x7FF0,
+    0x0388, 0x7FF3,
+    0x0324, 0x7FF6,
+    0x02BF, 0x7FF8,
+    0x025B, 0x7FFA,
+    0x01F6, 0x7FFC,
+    0x0192, 0x7FFD,
+    0x012D, 0x7FFE,
+    0x00C9, 0x7FFF,
+    0x0064, 0x7FFF,
+    0x0000, 0x7FFF,
+    0xFF9B, 0x7FFF,
+    0xFF36, 0x7FFF,
+    0xFED2, 0x7FFE,
+    0xFE6D, 0x7FFD,
+    0xFE09, 0x7FFC,
+    0xFDA4, 0x7FFA,
+    0xFD40, 0x7FF8,
+    0xFCDB, 0x7FF6,
+    0xFC77, 0x7FF3,
+    0xFC12, 0x7FF0,
+    0xFBAE, 0x7FED,
+    0xFB49, 0x7FE9,
+    0xFAE5, 0x7FE5,
+    0xFA80, 0x7FE1,
+    0xFA1C, 0x7FDD,
+    0xF9B8, 0x7FD8,
+    0xF953, 0x7FD3,
+    0xF8EF, 0x7FCE,
+    0xF88A, 0x7FC8,
+    0xF826, 0x7FC2,
+    0xF7C2, 0x7FBC,
+    0xF75D, 0x7FB5,
+    0xF6F9, 0x7FAE,
+    0xF695, 0x7FA7,
+    0xF631, 0x7F9F,
+    0xF5CC, 0x7F97,
+    0xF568, 0x7F8F,
+    0xF504, 0x7F87,
+    0xF4A0, 0x7F7E,
+    0xF43C, 0x7F75,
+    0xF3D8, 0x7F6B,
+    0xF374, 0x7F62,
+    0xF310, 0x7F58,
+    0xF2AC, 0x7F4D,
+    0xF248, 0x7F43,
+    0xF1E4, 0x7F38,
+    0xF180, 0x7F2D,
+    0xF11C, 0x7F21,
+    0xF0B8, 0x7F15,
+    0xF054, 0x7F09,
+    0xEFF1, 0x7EFD,
+    0xEF8D, 0x7EF0,
+    0xEF29, 0x7EE3,
+    0xEEC6, 0x7ED5,
+    0xEE62, 0x7EC8,
+    0xEDFE, 0x7EBA,
+    0xED9B, 0x7EAB,
+    0xED37, 0x7E9D,
+    0xECD4, 0x7E8E,
+    0xEC71, 0x7E7F,
+    0xEC0D, 0x7E6F,
+    0xEBAA, 0x7E5F,
+    0xEB47, 0x7E4F,
+    0xEAE4, 0x7E3F,
+    0xEA80, 0x7E2E,
+    0xEA1D, 0x7E1D,
+    0xE9BA, 0x7E0C,
+    0xE957, 0x7DFA,
+    0xE8F5, 0x7DE8,
+    0xE892, 0x7DD6,
+    0xE82F, 0x7DC3,
+    0xE7CC, 0x7DB0,
+    0xE769, 0x7D9D,
+    0xE707, 0x7D8A,
+    0xE6A4, 0x7D76,
+    0xE642, 0x7D62,
+    0xE5DF, 0x7D4E,
+    0xE57D, 0x7D39,
+    0xE51B, 0x7D24,
+    0xE4B8, 0x7D0F,
+    0xE456, 0x7CF9,
+    0xE3F4, 0x7CE3,
+    0xE392, 0x7CCD,
+    0xE330, 0x7CB7,
+    0xE2CE, 0x7CA0,
+    0xE26C, 0x7C89,
+    0xE20A, 0x7C71,
+    0xE1A9, 0x7C5A,
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+    0xE0E6, 0x7C29,
+    0xE084, 0x7C11,
+    0xE023, 0x7BF8,
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+    0xDF60, 0x7BC5,
+    0xDEFF, 0x7BAC,
+    0xDE9E, 0x7B92,
+    0xDE3D, 0x7B77,
+    0xDDDC, 0x7B5D,
+    0xDD7B, 0x7B42,
+    0xDD1A, 0x7B26,
+    0xDCBA, 0x7B0B,
+    0xDC59, 0x7AEF,
+    0xDBF8, 0x7AD3,
+    0xDB98, 0x7AB6,
+    0xDB38, 0x7A9A,
+    0xDAD7, 0x7A7D,
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+    0xDA17, 0x7A42,
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+    0xD957, 0x7A05,
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+    0xD838, 0x79A9,
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+    0xD6BB, 0x792A,
+    0xD65C, 0x7909,
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+    0xD53F, 0x78A6,
+    0xD4E0, 0x7884,
+    0xD482, 0x7862,
+    0xD423, 0x7840,
+    0xD3C5, 0x781D,
+    0xD367, 0x77FA,
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+    0xD24C, 0x7790,
+    0xD1EE, 0x776C,
+    0xD191, 0x7747,
+    0xD133, 0x7723,
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+    0xD01B, 0x76B3,
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+    0xCF61, 0x7668,
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+    0xCE4A, 0x75F4,
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+    0xCD35, 0x757D,
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+    0xCC7D, 0x752D,
+    0xCC21, 0x7504,
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+    0xC727, 0x72AF,
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+    0xBD2F, 0x6D2D,
+    0xBCDA, 0x6CF9,
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+    0xB98A, 0x6ADC,
+    0xB936, 0x6AA5,
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+    0xB88F, 0x6A35,
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+    0xB461, 0x6746,
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+    0xB3C0, 0x66CF,
+    0xB36F, 0x6693,
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+    0xB2CE, 0x661A,
+    0xB27E, 0x65DD,
+    0xB22E, 0x65A0,
+    0xB1DE, 0x6563,
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+    0xB140, 0x64E8,
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+    0xB0A1, 0x646C,
+    0xB053, 0x642D,
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+    0xAF68, 0x6371,
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+    0xAECC, 0x62F2,
+    0xAE7E, 0x62B2,
+    0xAE31, 0x6271,
+    0xADE3, 0x6231,
+    0xAD96, 0x61F1,
+    0xAD4A, 0x61B0,
+    0xACFD, 0x616F,
+    0xACB1, 0x612D,
+    0xAC64, 0x60EC,
+    0xAC18, 0x60AA,
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+    0xAB81, 0x6026,
+    0xAB35, 0x5FE3,
+    0xAAEA, 0x5FA0,
+    0xAA9F, 0x5F5E,
+    0xAA54, 0x5F1A,
+    0xAA0A, 0x5ED7,
+    0xA9BF, 0x5E93,
+    0xA975, 0x5E50,
+    0xA92B, 0x5E0B,
+    0xA8E2, 0x5DC7,
+    0xA898, 0x5D83,
+    0xA84F, 0x5D3E,
+    0xA806, 0x5CF9,
+    0xA7BD, 0x5CB4,
+    0xA774, 0x5C6E,
+    0xA72B, 0x5C29,
+    0xA6E3, 0x5BE3,
+    0xA69B, 0x5B9D,
+    0xA653, 0x5B56,
+    0xA60C, 0x5B10,
+    0xA5C4, 0x5AC9,
+    0xA57D, 0x5A82,
+    0xA536, 0x5A3B,
+    0xA4EF, 0x59F3,
+    0xA4A9, 0x59AC,
+    0xA462, 0x5964,
+    0xA41C, 0x591C,
+    0xA3D6, 0x58D4,
+    0xA391, 0x588B,
+    0xA34B, 0x5842,
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+    0xA27C, 0x5767,
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+    0xA1AF, 0x568A,
+    0xA16C, 0x5640,
+    0xA128, 0x55F5,
+    0xA0E5, 0x55AB,
+    0xA0A1, 0x5560,
+    0xA05F, 0x5515,
+    0xA01C, 0x54CA,
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+    0x9F97, 0x5433,
+    0x9F55, 0x53E7,
+    0x9F13, 0x539B,
+    0x9ED2, 0x534E,
+    0x9E90, 0x5302,
+    0x9E4F, 0x52B5,
+    0x9E0E, 0x5269,
+    0x9DCE, 0x521C,
+    0x9D8E, 0x51CE,
+    0x9D4D, 0x5181,
+    0x9D0D, 0x5133,
+    0x9CCE, 0x50E5,
+    0x9C8E, 0x5097,
+    0x9C4F, 0x5049,
+    0x9C10, 0x4FFB,
+    0x9BD2, 0x4FAC,
+    0x9B93, 0x4F5E,
+    0x9B55, 0x4F0F,
+    0x9B17, 0x4EBF,
+    0x9AD9, 0x4E70,
+    0x9A9C, 0x4E21,
+    0x9A5F, 0x4DD1,
+    0x9A22, 0x4D81,
+    0x99E5, 0x4D31,
+    0x99A8, 0x4CE1,
+    0x996C, 0x4C90,
+    0x9930, 0x4C3F,
+    0x98F4, 0x4BEF,
+    0x98B9, 0x4B9E,
+    0x987D, 0x4B4C,
+    0x9842, 0x4AFB,
+    0x9808, 0x4AA9,
+    0x97CD, 0x4A58,
+    0x9793, 0x4A06,
+    0x9759, 0x49B4,
+    0x971F, 0x4961,
+    0x96E6, 0x490F,
+    0x96AC, 0x48BC,
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+    0x963B, 0x4816,
+    0x9602, 0x47C3,
+    0x95CA, 0x4770,
+    0x9592, 0x471C,
+    0x955A, 0x46C9,
+    0x9523, 0x4675,
+    0x94EC, 0x4621,
+    0x94B5, 0x45CD,
+    0x947E, 0x4578,
+    0x9447, 0x4524,
+    0x9411, 0x44CF,
+    0x93DB, 0x447A,
+    0x93A6, 0x4425,
+    0x9370, 0x43D0,
+    0x933B, 0x437B,
+    0x9306, 0x4325,
+    0x92D2, 0x42D0,
+    0x929D, 0x427A,
+    0x9269, 0x4224,
+    0x9235, 0x41CE,
+    0x9202, 0x4177,
+    0x91CF, 0x4121,
+    0x919C, 0x40CA,
+    0x9169, 0x4073,
+    0x9136, 0x401D,
+    0x9104, 0x3FC5,
+    0x90D2, 0x3F6E,
+    0x90A0, 0x3F17,
+    0x906F, 0x3EBF,
+    0x903E, 0x3E68,
+    0x900D, 0x3E10,
+    0x8FDC, 0x3DB8,
+    0x8FAC, 0x3D60,
+    0x8F7C, 0x3D07,
+    0x8F4C, 0x3CAF,
+    0x8F1D, 0x3C56,
+    0x8EED, 0x3BFD,
+    0x8EBE, 0x3BA5,
+    0x8E90, 0x3B4C,
+    0x8E61, 0x3AF2,
+    0x8E33, 0x3A99,
+    0x8E05, 0x3A40,
+    0x8DD8, 0x39E6,
+    0x8DAA, 0x398C,
+    0x8D7D, 0x3932,
+    0x8D50, 0x38D8,
+    0x8D24, 0x387E,
+    0x8CF8, 0x3824,
+    0x8CCC, 0x37CA,
+    0x8CA0, 0x376F,
+    0x8C75, 0x3714,
+    0x8C4A, 0x36BA,
+    0x8C1F, 0x365F,
+    0x8BF4, 0x3604,
+    0x8BCA, 0x35A8,
+    0x8BA0, 0x354D,
+    0x8B76, 0x34F2,
+    0x8B4D, 0x3496,
+    0x8B24, 0x343A,
+    0x8AFB, 0x33DE,
+    0x8AD2, 0x3382,
+    0x8AAA, 0x3326,
+    0x8A82, 0x32CA,
+    0x8A5A, 0x326E,
+    0x8A33, 0x3211,
+    0x8A0B, 0x31B5,
+    0x89E4, 0x3158,
+    0x89BE, 0x30FB,
+    0x8997, 0x309E,
+    0x8971, 0x3041,
+    0x894C, 0x2FE4,
+    0x8926, 0x2F87,
+    0x8901, 0x2F29,
+    0x88DC, 0x2ECC,
+    0x88B8, 0x2E6E,
+    0x8893, 0x2E11,
+    0x886F, 0x2DB3,
+    0x884B, 0x2D55,
+    0x8828, 0x2CF7,
+    0x8805, 0x2C98,
+    0x87E2, 0x2C3A,
+    0x87BF, 0x2BDC,
+    0x879D, 0x2B7D,
+    0x877B, 0x2B1F,
+    0x8759, 0x2AC0,
+    0x8738, 0x2A61,
+    0x8717, 0x2A02,
+    0x86F6, 0x29A3,
+    0x86D5, 0x2944,
+    0x86B5, 0x28E5,
+    0x8695, 0x2886,
+    0x8675, 0x2826,
+    0x8656, 0x27C7,
+    0x8637, 0x2767,
+    0x8618, 0x2707,
+    0x85FA, 0x26A8,
+    0x85DB, 0x2648,
+    0x85BD, 0x25E8,
+    0x85A0, 0x2588,
+    0x8582, 0x2528,
+    0x8565, 0x24C7,
+    0x8549, 0x2467,
+    0x852C, 0x2407,
+    0x8510, 0x23A6,
+    0x84F4, 0x2345,
+    0x84D9, 0x22E5,
+    0x84BD, 0x2284,
+    0x84A2, 0x2223,
+    0x8488, 0x21C2,
+    0x846D, 0x2161,
+    0x8453, 0x2100,
+    0x843A, 0x209F,
+    0x8420, 0x203E,
+    0x8407, 0x1FDC,
+    0x83EE, 0x1F7B,
+    0x83D6, 0x1F19,
+    0x83BD, 0x1EB8,
+    0x83A5, 0x1E56,
+    0x838E, 0x1DF5,
+    0x8376, 0x1D93,
+    0x835F, 0x1D31,
+    0x8348, 0x1CCF,
+    0x8332, 0x1C6D,
+    0x831C, 0x1C0B,
+    0x8306, 0x1BA9,
+    0x82F0, 0x1B47,
+    0x82DB, 0x1AE4,
+    0x82C6, 0x1A82,
+    0x82B1, 0x1A20,
+    0x829D, 0x19BD,
+    0x8289, 0x195B,
+    0x8275, 0x18F8,
+    0x8262, 0x1896,
+    0x824F, 0x1833,
+    0x823C, 0x17D0,
+    0x8229, 0x176D,
+    0x8217, 0x170A,
+    0x8205, 0x16A8,
+    0x81F3, 0x1645,
+    0x81E2, 0x15E2,
+    0x81D1, 0x157F,
+    0x81C0, 0x151B,
+    0x81B0, 0x14B8,
+    0x81A0, 0x1455,
+    0x8190, 0x13F2,
+    0x8180, 0x138E,
+    0x8171, 0x132B,
+    0x8162, 0x12C8,
+    0x8154, 0x1264,
+    0x8145, 0x1201,
+    0x8137, 0x119D,
+    0x812A, 0x1139,
+    0x811C, 0x10D6,
+    0x810F, 0x1072,
+    0x8102, 0x100E,
+    0x80F6, 0x0FAB,
+    0x80EA, 0x0F47,
+    0x80DE, 0x0EE3,
+    0x80D2, 0x0E7F,
+    0x80C7, 0x0E1B,
+    0x80BC, 0x0DB7,
+    0x80B2, 0x0D53,
+    0x80A7, 0x0CEF,
+    0x809D, 0x0C8B,
+    0x8094, 0x0C27,
+    0x808A, 0x0BC3,
+    0x8081, 0x0B5F,
+    0x8078, 0x0AFB,
+    0x8070, 0x0A97,
+    0x8068, 0x0A33,
+    0x8060, 0x09CE,
+    0x8058, 0x096A,
+    0x8051, 0x0906,
+    0x804A, 0x08A2,
+    0x8043, 0x083D,
+    0x803D, 0x07D9,
+    0x8037, 0x0775,
+    0x8031, 0x0710,
+    0x802C, 0x06AC,
+    0x8027, 0x0647,
+    0x8022, 0x05E3,
+    0x801E, 0x057F,
+    0x801A, 0x051A,
+    0x8016, 0x04B6,
+    0x8012, 0x0451,
+    0x800F, 0x03ED,
+    0x800C, 0x0388,
+    0x8009, 0x0324,
+    0x8007, 0x02BF,
+    0x8005, 0x025B,
+    0x8003, 0x01F6,
+    0x8002, 0x0192,
+    0x8001, 0x012D,
+    0x8000, 0x00C9,
+    0x8000, 0x0064,
+    0x8000, 0x0000,
+    0x8000, 0xFF9B,
+    0x8000, 0xFF36,
+    0x8001, 0xFED2,
+    0x8002, 0xFE6D,
+    0x8003, 0xFE09,
+    0x8005, 0xFDA4,
+    0x8007, 0xFD40,
+    0x8009, 0xFCDB,
+    0x800C, 0xFC77,
+    0x800F, 0xFC12,
+    0x8012, 0xFBAE,
+    0x8016, 0xFB49,
+    0x801A, 0xFAE5,
+    0x801E, 0xFA80,
+    0x8022, 0xFA1C,
+    0x8027, 0xF9B8,
+    0x802C, 0xF953,
+    0x8031, 0xF8EF,
+    0x8037, 0xF88A,
+    0x803D, 0xF826,
+    0x8043, 0xF7C2,
+    0x804A, 0xF75D,
+    0x8051, 0xF6F9,
+    0x8058, 0xF695,
+    0x8060, 0xF631,
+    0x8068, 0xF5CC,
+    0x8070, 0xF568,
+    0x8078, 0xF504,
+    0x8081, 0xF4A0,
+    0x808A, 0xF43C,
+    0x8094, 0xF3D8,
+    0x809D, 0xF374,
+    0x80A7, 0xF310,
+    0x80B2, 0xF2AC,
+    0x80BC, 0xF248,
+    0x80C7, 0xF1E4,
+    0x80D2, 0xF180,
+    0x80DE, 0xF11C,
+    0x80EA, 0xF0B8,
+    0x80F6, 0xF054,
+    0x8102, 0xEFF1,
+    0x810F, 0xEF8D,
+    0x811C, 0xEF29,
+    0x812A, 0xEEC6,
+    0x8137, 0xEE62,
+    0x8145, 0xEDFE,
+    0x8154, 0xED9B,
+    0x8162, 0xED37,
+    0x8171, 0xECD4,
+    0x8180, 0xEC71,
+    0x8190, 0xEC0D,
+    0x81A0, 0xEBAA,
+    0x81B0, 0xEB47,
+    0x81C0, 0xEAE4,
+    0x81D1, 0xEA80,
+    0x81E2, 0xEA1D,
+    0x81F3, 0xE9BA,
+    0x8205, 0xE957,
+    0x8217, 0xE8F5,
+    0x8229, 0xE892,
+    0x823C, 0xE82F,
+    0x824F, 0xE7CC,
+    0x8262, 0xE769,
+    0x8275, 0xE707,
+    0x8289, 0xE6A4,
+    0x829D, 0xE642,
+    0x82B1, 0xE5DF,
+    0x82C6, 0xE57D,
+    0x82DB, 0xE51B,
+    0x82F0, 0xE4B8,
+    0x8306, 0xE456,
+    0x831C, 0xE3F4,
+    0x8332, 0xE392,
+    0x8348, 0xE330,
+    0x835F, 0xE2CE,
+    0x8376, 0xE26C,
+    0x838E, 0xE20A,
+    0x83A5, 0xE1A9,
+    0x83BD, 0xE147,
+    0x83D6, 0xE0E6,
+    0x83EE, 0xE084,
+    0x8407, 0xE023,
+    0x8420, 0xDFC1,
+    0x843A, 0xDF60,
+    0x8453, 0xDEFF,
+    0x846D, 0xDE9E,
+    0x8488, 0xDE3D,
+    0x84A2, 0xDDDC,
+    0x84BD, 0xDD7B,
+    0x84D9, 0xDD1A,
+    0x84F4, 0xDCBA,
+    0x8510, 0xDC59,
+    0x852C, 0xDBF8,
+    0x8549, 0xDB98,
+    0x8565, 0xDB38,
+    0x8582, 0xDAD7,
+    0x85A0, 0xDA77,
+    0x85BD, 0xDA17,
+    0x85DB, 0xD9B7,
+    0x85FA, 0xD957,
+    0x8618, 0xD8F8,
+    0x8637, 0xD898,
+    0x8656, 0xD838,
+    0x8675, 0xD7D9,
+    0x8695, 0xD779,
+    0x86B5, 0xD71A,
+    0x86D5, 0xD6BB,
+    0x86F6, 0xD65C,
+    0x8717, 0xD5FD,
+    0x8738, 0xD59E,
+    0x8759, 0xD53F,
+    0x877B, 0xD4E0,
+    0x879D, 0xD482,
+    0x87BF, 0xD423,
+    0x87E2, 0xD3C5,
+    0x8805, 0xD367,
+    0x8828, 0xD308,
+    0x884B, 0xD2AA,
+    0x886F, 0xD24C,
+    0x8893, 0xD1EE,
+    0x88B8, 0xD191,
+    0x88DC, 0xD133,
+    0x8901, 0xD0D6,
+    0x8926, 0xD078,
+    0x894C, 0xD01B,
+    0x8971, 0xCFBE,
+    0x8997, 0xCF61,
+    0x89BE, 0xCF04,
+    0x89E4, 0xCEA7,
+    0x8A0B, 0xCE4A,
+    0x8A33, 0xCDEE,
+    0x8A5A, 0xCD91,
+    0x8A82, 0xCD35,
+    0x8AAA, 0xCCD9,
+    0x8AD2, 0xCC7D,
+    0x8AFB, 0xCC21,
+    0x8B24, 0xCBC5,
+    0x8B4D, 0xCB69,
+    0x8B76, 0xCB0D,
+    0x8BA0, 0xCAB2,
+    0x8BCA, 0xCA57,
+    0x8BF4, 0xC9FB,
+    0x8C1F, 0xC9A0,
+    0x8C4A, 0xC945,
+    0x8C75, 0xC8EB,
+    0x8CA0, 0xC890,
+    0x8CCC, 0xC835,
+    0x8CF8, 0xC7DB,
+    0x8D24, 0xC781,
+    0x8D50, 0xC727,
+    0x8D7D, 0xC6CD,
+    0x8DAA, 0xC673,
+    0x8DD8, 0xC619,
+    0x8E05, 0xC5BF,
+    0x8E33, 0xC566,
+    0x8E61, 0xC50D,
+    0x8E90, 0xC4B3,
+    0x8EBE, 0xC45A,
+    0x8EED, 0xC402,
+    0x8F1D, 0xC3A9,
+    0x8F4C, 0xC350,
+    0x8F7C, 0xC2F8,
+    0x8FAC, 0xC29F,
+    0x8FDC, 0xC247,
+    0x900D, 0xC1EF,
+    0x903E, 0xC197,
+    0x906F, 0xC140,
+    0x90A0, 0xC0E8,
+    0x90D2, 0xC091,
+    0x9104, 0xC03A,
+    0x9136, 0xBFE2,
+    0x9169, 0xBF8C,
+    0x919C, 0xBF35,
+    0x91CF, 0xBEDE,
+    0x9202, 0xBE88,
+    0x9235, 0xBE31,
+    0x9269, 0xBDDB,
+    0x929D, 0xBD85,
+    0x92D2, 0xBD2F,
+    0x9306, 0xBCDA,
+    0x933B, 0xBC84,
+    0x9370, 0xBC2F,
+    0x93A6, 0xBBDA,
+    0x93DB, 0xBB85,
+    0x9411, 0xBB30,
+    0x9447, 0xBADB,
+    0x947E, 0xBA87,
+    0x94B5, 0xBA32,
+    0x94EC, 0xB9DE,
+    0x9523, 0xB98A,
+    0x955A, 0xB936,
+    0x9592, 0xB8E3,
+    0x95CA, 0xB88F,
+    0x9602, 0xB83C,
+    0x963B, 0xB7E9,
+    0x9673, 0xB796,
+    0x96AC, 0xB743,
+    0x96E6, 0xB6F0,
+    0x971F, 0xB69E,
+    0x9759, 0xB64B,
+    0x9793, 0xB5F9,
+    0x97CD, 0xB5A7,
+    0x9808, 0xB556,
+    0x9842, 0xB504,
+    0x987D, 0xB4B3,
+    0x98B9, 0xB461,
+    0x98F4, 0xB410,
+    0x9930, 0xB3C0,
+    0x996C, 0xB36F,
+    0x99A8, 0xB31E,
+    0x99E5, 0xB2CE,
+    0x9A22, 0xB27E,
+    0x9A5F, 0xB22E,
+    0x9A9C, 0xB1DE,
+    0x9AD9, 0xB18F,
+    0x9B17, 0xB140,
+    0x9B55, 0xB0F0,
+    0x9B93, 0xB0A1,
+    0x9BD2, 0xB053,
+    0x9C10, 0xB004,
+    0x9C4F, 0xAFB6,
+    0x9C8E, 0xAF68,
+    0x9CCE, 0xAF1A,
+    0x9D0D, 0xAECC,
+    0x9D4D, 0xAE7E,
+    0x9D8E, 0xAE31,
+    0x9DCE, 0xADE3,
+    0x9E0E, 0xAD96,
+    0x9E4F, 0xAD4A,
+    0x9E90, 0xACFD,
+    0x9ED2, 0xACB1,
+    0x9F13, 0xAC64,
+    0x9F55, 0xAC18,
+    0x9F97, 0xABCC,
+    0x9FD9, 0xAB81,
+    0xA01C, 0xAB35,
+    0xA05F, 0xAAEA,
+    0xA0A1, 0xAA9F,
+    0xA0E5, 0xAA54,
+    0xA128, 0xAA0A,
+    0xA16C, 0xA9BF,
+    0xA1AF, 0xA975,
+    0xA1F4, 0xA92B,
+    0xA238, 0xA8E2,
+    0xA27C, 0xA898,
+    0xA2C1, 0xA84F,
+    0xA306, 0xA806,
+    0xA34B, 0xA7BD,
+    0xA391, 0xA774,
+    0xA3D6, 0xA72B,
+    0xA41C, 0xA6E3,
+    0xA462, 0xA69B,
+    0xA4A9, 0xA653,
+    0xA4EF, 0xA60C,
+    0xA536, 0xA5C4,
+    0xA57D, 0xA57D,
+    0xA5C4, 0xA536,
+    0xA60C, 0xA4EF,
+    0xA653, 0xA4A9,
+    0xA69B, 0xA462,
+    0xA6E3, 0xA41C,
+    0xA72B, 0xA3D6,
+    0xA774, 0xA391,
+    0xA7BD, 0xA34B,
+    0xA806, 0xA306,
+    0xA84F, 0xA2C1,
+    0xA898, 0xA27C,
+    0xA8E2, 0xA238,
+    0xA92B, 0xA1F4,
+    0xA975, 0xA1AF,
+    0xA9BF, 0xA16C,
+    0xAA0A, 0xA128,
+    0xAA54, 0xA0E5,
+    0xAA9F, 0xA0A1,
+    0xAAEA, 0xA05F,
+    0xAB35, 0xA01C,
+    0xAB81, 0x9FD9,
+    0xABCC, 0x9F97,
+    0xAC18, 0x9F55,
+    0xAC64, 0x9F13,
+    0xACB1, 0x9ED2,
+    0xACFD, 0x9E90,
+    0xAD4A, 0x9E4F,
+    0xAD96, 0x9E0E,
+    0xADE3, 0x9DCE,
+    0xAE31, 0x9D8E,
+    0xAE7E, 0x9D4D,
+    0xAECC, 0x9D0D,
+    0xAF1A, 0x9CCE,
+    0xAF68, 0x9C8E,
+    0xAFB6, 0x9C4F,
+    0xB004, 0x9C10,
+    0xB053, 0x9BD2,
+    0xB0A1, 0x9B93,
+    0xB0F0, 0x9B55,
+    0xB140, 0x9B17,
+    0xB18F, 0x9AD9,
+    0xB1DE, 0x9A9C,
+    0xB22E, 0x9A5F,
+    0xB27E, 0x9A22,
+    0xB2CE, 0x99E5,
+    0xB31E, 0x99A8,
+    0xB36F, 0x996C,
+    0xB3C0, 0x9930,
+    0xB410, 0x98F4,
+    0xB461, 0x98B9,
+    0xB4B3, 0x987D,
+    0xB504, 0x9842,
+    0xB556, 0x9808,
+    0xB5A7, 0x97CD,
+    0xB5F9, 0x9793,
+    0xB64B, 0x9759,
+    0xB69E, 0x971F,
+    0xB6F0, 0x96E6,
+    0xB743, 0x96AC,
+    0xB796, 0x9673,
+    0xB7E9, 0x963B,
+    0xB83C, 0x9602,
+    0xB88F, 0x95CA,
+    0xB8E3, 0x9592,
+    0xB936, 0x955A,
+    0xB98A, 0x9523,
+    0xB9DE, 0x94EC,
+    0xBA32, 0x94B5,
+    0xBA87, 0x947E,
+    0xBADB, 0x9447,
+    0xBB30, 0x9411,
+    0xBB85, 0x93DB,
+    0xBBDA, 0x93A6,
+    0xBC2F, 0x9370,
+    0xBC84, 0x933B,
+    0xBCDA, 0x9306,
+    0xBD2F, 0x92D2,
+    0xBD85, 0x929D,
+    0xBDDB, 0x9269,
+    0xBE31, 0x9235,
+    0xBE88, 0x9202,
+    0xBEDE, 0x91CF,
+    0xBF35, 0x919C,
+    0xBF8C, 0x9169,
+    0xBFE2, 0x9136,
+    0xC03A, 0x9104,
+    0xC091, 0x90D2,
+    0xC0E8, 0x90A0,
+    0xC140, 0x906F,
+    0xC197, 0x903E,
+    0xC1EF, 0x900D,
+    0xC247, 0x8FDC,
+    0xC29F, 0x8FAC,
+    0xC2F8, 0x8F7C,
+    0xC350, 0x8F4C,
+    0xC3A9, 0x8F1D,
+    0xC402, 0x8EED,
+    0xC45A, 0x8EBE,
+    0xC4B3, 0x8E90,
+    0xC50D, 0x8E61,
+    0xC566, 0x8E33,
+    0xC5BF, 0x8E05,
+    0xC619, 0x8DD8,
+    0xC673, 0x8DAA,
+    0xC6CD, 0x8D7D,
+    0xC727, 0x8D50,
+    0xC781, 0x8D24,
+    0xC7DB, 0x8CF8,
+    0xC835, 0x8CCC,
+    0xC890, 0x8CA0,
+    0xC8EB, 0x8C75,
+    0xC945, 0x8C4A,
+    0xC9A0, 0x8C1F,
+    0xC9FB, 0x8BF4,
+    0xCA57, 0x8BCA,
+    0xCAB2, 0x8BA0,
+    0xCB0D, 0x8B76,
+    0xCB69, 0x8B4D,
+    0xCBC5, 0x8B24,
+    0xCC21, 0x8AFB,
+    0xCC7D, 0x8AD2,
+    0xCCD9, 0x8AAA,
+    0xCD35, 0x8A82,
+    0xCD91, 0x8A5A,
+    0xCDEE, 0x8A33,
+    0xCE4A, 0x8A0B,
+    0xCEA7, 0x89E4,
+    0xCF04, 0x89BE,
+    0xCF61, 0x8997,
+    0xCFBE, 0x8971,
+    0xD01B, 0x894C,
+    0xD078, 0x8926,
+    0xD0D6, 0x8901,
+    0xD133, 0x88DC,
+    0xD191, 0x88B8,
+    0xD1EE, 0x8893,
+    0xD24C, 0x886F,
+    0xD2AA, 0x884B,
+    0xD308, 0x8828,
+    0xD367, 0x8805,
+    0xD3C5, 0x87E2,
+    0xD423, 0x87BF,
+    0xD482, 0x879D,
+    0xD4E0, 0x877B,
+    0xD53F, 0x8759,
+    0xD59E, 0x8738,
+    0xD5FD, 0x8717,
+    0xD65C, 0x86F6,
+    0xD6BB, 0x86D5,
+    0xD71A, 0x86B5,
+    0xD779, 0x8695,
+    0xD7D9, 0x8675,
+    0xD838, 0x8656,
+    0xD898, 0x8637,
+    0xD8F8, 0x8618,
+    0xD957, 0x85FA,
+    0xD9B7, 0x85DB,
+    0xDA17, 0x85BD,
+    0xDA77, 0x85A0,
+    0xDAD7, 0x8582,
+    0xDB38, 0x8565,
+    0xDB98, 0x8549,
+    0xDBF8, 0x852C,
+    0xDC59, 0x8510,
+    0xDCBA, 0x84F4,
+    0xDD1A, 0x84D9,
+    0xDD7B, 0x84BD,
+    0xDDDC, 0x84A2,
+    0xDE3D, 0x8488,
+    0xDE9E, 0x846D,
+    0xDEFF, 0x8453,
+    0xDF60, 0x843A,
+    0xDFC1, 0x8420,
+    0xE023, 0x8407,
+    0xE084, 0x83EE,
+    0xE0E6, 0x83D6,
+    0xE147, 0x83BD,
+    0xE1A9, 0x83A5,
+    0xE20A, 0x838E,
+    0xE26C, 0x8376,
+    0xE2CE, 0x835F,
+    0xE330, 0x8348,
+    0xE392, 0x8332,
+    0xE3F4, 0x831C,
+    0xE456, 0x8306,
+    0xE4B8, 0x82F0,
+    0xE51B, 0x82DB,
+    0xE57D, 0x82C6,
+    0xE5DF, 0x82B1,
+    0xE642, 0x829D,
+    0xE6A4, 0x8289,
+    0xE707, 0x8275,
+    0xE769, 0x8262,
+    0xE7CC, 0x824F,
+    0xE82F, 0x823C,
+    0xE892, 0x8229,
+    0xE8F5, 0x8217,
+    0xE957, 0x8205,
+    0xE9BA, 0x81F3,
+    0xEA1D, 0x81E2,
+    0xEA80, 0x81D1,
+    0xEAE4, 0x81C0,
+    0xEB47, 0x81B0,
+    0xEBAA, 0x81A0,
+    0xEC0D, 0x8190,
+    0xEC71, 0x8180,
+    0xECD4, 0x8171,
+    0xED37, 0x8162,
+    0xED9B, 0x8154,
+    0xEDFE, 0x8145,
+    0xEE62, 0x8137,
+    0xEEC6, 0x812A,
+    0xEF29, 0x811C,
+    0xEF8D, 0x810F,
+    0xEFF1, 0x8102,
+    0xF054, 0x80F6,
+    0xF0B8, 0x80EA,
+    0xF11C, 0x80DE,
+    0xF180, 0x80D2,
+    0xF1E4, 0x80C7,
+    0xF248, 0x80BC,
+    0xF2AC, 0x80B2,
+    0xF310, 0x80A7,
+    0xF374, 0x809D,
+    0xF3D8, 0x8094,
+    0xF43C, 0x808A,
+    0xF4A0, 0x8081,
+    0xF504, 0x8078,
+    0xF568, 0x8070,
+    0xF5CC, 0x8068,
+    0xF631, 0x8060,
+    0xF695, 0x8058,
+    0xF6F9, 0x8051,
+    0xF75D, 0x804A,
+    0xF7C2, 0x8043,
+    0xF826, 0x803D,
+    0xF88A, 0x8037,
+    0xF8EF, 0x8031,
+    0xF953, 0x802C,
+    0xF9B8, 0x8027,
+    0xFA1C, 0x8022,
+    0xFA80, 0x801E,
+    0xFAE5, 0x801A,
+    0xFB49, 0x8016,
+    0xFBAE, 0x8012,
+    0xFC12, 0x800F,
+    0xFC77, 0x800C,
+    0xFCDB, 0x8009,
+    0xFD40, 0x8007,
+    0xFDA4, 0x8005,
+    0xFE09, 0x8003,
+    0xFE6D, 0x8002,
+    0xFED2, 0x8001,
+    0xFF36, 0x8000,
+    0xFF9B, 0x8000
+};
+
+/**    
+* \par   
+* Example code for q15 Twiddle factors Generation::    
+* \par    
+* <pre>for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
 * } </pre>    
 * \par    
 * where N = 4096	and PI = 3.14159265358979    
 * \par    
 * Cos and Sin values are interleaved fashion    
 * \par    
-* Convert Floating point to Q15(Fixed point 1.15):    
-*	round(twiddleCoefQ15(i) * pow(2, 15))    
+* Convert Floating point to q15(Fixed point 1.15):    
+*	round(twiddleCoefq15(i) * pow(2, 15))    
 *    
 */
-
-const q15_t ALIGN4 twiddleCoefQ15[6144] = {
-
-  0x7fff, 0x0, 0x7fff, 0x32, 0x7fff, 0x65, 0x7fff, 0x97,
-  0x7fff, 0xc9, 0x7fff, 0xfb, 0x7fff, 0x12e, 0x7ffe, 0x160,
-  0x7ffe, 0x192, 0x7ffd, 0x1c4, 0x7ffc, 0x1f7, 0x7ffb, 0x229,
-  0x7ffa, 0x25b, 0x7ff9, 0x28d, 0x7ff8, 0x2c0, 0x7ff7, 0x2f2,
-  0x7ff6, 0x324, 0x7ff5, 0x356, 0x7ff4, 0x389, 0x7ff2, 0x3bb,
-  0x7ff1, 0x3ed, 0x7fef, 0x41f, 0x7fed, 0x452, 0x7fec, 0x484,
-  0x7fea, 0x4b6, 0x7fe8, 0x4e8, 0x7fe6, 0x51b, 0x7fe4, 0x54d,
-  0x7fe2, 0x57f, 0x7fe0, 0x5b1, 0x7fdd, 0x5e3, 0x7fdb, 0x616,
-  0x7fd9, 0x648, 0x7fd6, 0x67a, 0x7fd3, 0x6ac, 0x7fd1, 0x6de,
-  0x7fce, 0x711, 0x7fcb, 0x743, 0x7fc8, 0x775, 0x7fc5, 0x7a7,
-  0x7fc2, 0x7d9, 0x7fbf, 0x80c, 0x7fbc, 0x83e, 0x7fb9, 0x870,
-  0x7fb5, 0x8a2, 0x7fb2, 0x8d4, 0x7fae, 0x906, 0x7fab, 0x938,
-  0x7fa7, 0x96b, 0x7fa3, 0x99d, 0x7fa0, 0x9cf, 0x7f9c, 0xa01,
-  0x7f98, 0xa33, 0x7f94, 0xa65, 0x7f90, 0xa97, 0x7f8b, 0xac9,
-  0x7f87, 0xafb, 0x7f83, 0xb2d, 0x7f7e, 0xb60, 0x7f7a, 0xb92,
-  0x7f75, 0xbc4, 0x7f71, 0xbf6, 0x7f6c, 0xc28, 0x7f67, 0xc5a,
-  0x7f62, 0xc8c, 0x7f5d, 0xcbe, 0x7f58, 0xcf0, 0x7f53, 0xd22,
-  0x7f4e, 0xd54, 0x7f49, 0xd86, 0x7f43, 0xdb8, 0x7f3e, 0xdea,
-  0x7f38, 0xe1c, 0x7f33, 0xe4e, 0x7f2d, 0xe80, 0x7f27, 0xeb2,
-  0x7f22, 0xee4, 0x7f1c, 0xf15, 0x7f16, 0xf47, 0x7f10, 0xf79,
-  0x7f0a, 0xfab, 0x7f03, 0xfdd, 0x7efd, 0x100f, 0x7ef7, 0x1041,
-  0x7ef0, 0x1073, 0x7eea, 0x10a4, 0x7ee3, 0x10d6, 0x7edd, 0x1108,
-  0x7ed6, 0x113a, 0x7ecf, 0x116c, 0x7ec8, 0x119e, 0x7ec1, 0x11cf,
-  0x7eba, 0x1201, 0x7eb3, 0x1233, 0x7eac, 0x1265, 0x7ea5, 0x1296,
-  0x7e9d, 0x12c8, 0x7e96, 0x12fa, 0x7e8e, 0x132b, 0x7e87, 0x135d,
-  0x7e7f, 0x138f, 0x7e78, 0x13c1, 0x7e70, 0x13f2, 0x7e68, 0x1424,
-  0x7e60, 0x1455, 0x7e58, 0x1487, 0x7e50, 0x14b9, 0x7e48, 0x14ea,
-  0x7e3f, 0x151c, 0x7e37, 0x154d, 0x7e2f, 0x157f, 0x7e26, 0x15b1,
-  0x7e1e, 0x15e2, 0x7e15, 0x1614, 0x7e0c, 0x1645, 0x7e03, 0x1677,
-  0x7dfb, 0x16a8, 0x7df2, 0x16da, 0x7de9, 0x170b, 0x7de0, 0x173c,
-  0x7dd6, 0x176e, 0x7dcd, 0x179f, 0x7dc4, 0x17d1, 0x7dba, 0x1802,
-  0x7db1, 0x1833, 0x7da7, 0x1865, 0x7d9e, 0x1896, 0x7d94, 0x18c7,
-  0x7d8a, 0x18f9, 0x7d81, 0x192a, 0x7d77, 0x195b, 0x7d6d, 0x198d,
-  0x7d63, 0x19be, 0x7d58, 0x19ef, 0x7d4e, 0x1a20, 0x7d44, 0x1a51,
-  0x7d3a, 0x1a83, 0x7d2f, 0x1ab4, 0x7d25, 0x1ae5, 0x7d1a, 0x1b16,
-  0x7d0f, 0x1b47, 0x7d05, 0x1b78, 0x7cfa, 0x1ba9, 0x7cef, 0x1bda,
-  0x7ce4, 0x1c0c, 0x7cd9, 0x1c3d, 0x7cce, 0x1c6e, 0x7cc2, 0x1c9f,
-  0x7cb7, 0x1cd0, 0x7cac, 0x1d01, 0x7ca0, 0x1d31, 0x7c95, 0x1d62,
-  0x7c89, 0x1d93, 0x7c7e, 0x1dc4, 0x7c72, 0x1df5, 0x7c66, 0x1e26,
-  0x7c5a, 0x1e57, 0x7c4e, 0x1e88, 0x7c42, 0x1eb8, 0x7c36, 0x1ee9,
-  0x7c2a, 0x1f1a, 0x7c1e, 0x1f4b, 0x7c11, 0x1f7b, 0x7c05, 0x1fac,
-  0x7bf9, 0x1fdd, 0x7bec, 0x200e, 0x7bdf, 0x203e, 0x7bd3, 0x206f,
-  0x7bc6, 0x209f, 0x7bb9, 0x20d0, 0x7bac, 0x2101, 0x7b9f, 0x2131,
-  0x7b92, 0x2162, 0x7b85, 0x2192, 0x7b78, 0x21c3, 0x7b6a, 0x21f3,
-  0x7b5d, 0x2224, 0x7b50, 0x2254, 0x7b42, 0x2284, 0x7b34, 0x22b5,
-  0x7b27, 0x22e5, 0x7b19, 0x2316, 0x7b0b, 0x2346, 0x7afd, 0x2376,
-  0x7aef, 0x23a7, 0x7ae1, 0x23d7, 0x7ad3, 0x2407, 0x7ac5, 0x2437,
-  0x7ab7, 0x2467, 0x7aa8, 0x2498, 0x7a9a, 0x24c8, 0x7a8c, 0x24f8,
-  0x7a7d, 0x2528, 0x7a6e, 0x2558, 0x7a60, 0x2588, 0x7a51, 0x25b8,
-  0x7a42, 0x25e8, 0x7a33, 0x2618, 0x7a24, 0x2648, 0x7a15, 0x2678,
-  0x7a06, 0x26a8, 0x79f7, 0x26d8, 0x79e7, 0x2708, 0x79d8, 0x2738,
-  0x79c9, 0x2768, 0x79b9, 0x2797, 0x79aa, 0x27c7, 0x799a, 0x27f7,
-  0x798a, 0x2827, 0x797a, 0x2856, 0x796a, 0x2886, 0x795b, 0x28b6,
-  0x794a, 0x28e5, 0x793a, 0x2915, 0x792a, 0x2945, 0x791a, 0x2974,
-  0x790a, 0x29a4, 0x78f9, 0x29d3, 0x78e9, 0x2a03, 0x78d8, 0x2a32,
-  0x78c8, 0x2a62, 0x78b7, 0x2a91, 0x78a6, 0x2ac1, 0x7895, 0x2af0,
-  0x7885, 0x2b1f, 0x7874, 0x2b4f, 0x7863, 0x2b7e, 0x7851, 0x2bad,
-  0x7840, 0x2bdc, 0x782f, 0x2c0c, 0x781e, 0x2c3b, 0x780c, 0x2c6a,
-  0x77fb, 0x2c99, 0x77e9, 0x2cc8, 0x77d8, 0x2cf7, 0x77c6, 0x2d26,
-  0x77b4, 0x2d55, 0x77a2, 0x2d84, 0x7790, 0x2db3, 0x777e, 0x2de2,
-  0x776c, 0x2e11, 0x775a, 0x2e40, 0x7748, 0x2e6f, 0x7736, 0x2e9e,
-  0x7723, 0x2ecc, 0x7711, 0x2efb, 0x76fe, 0x2f2a, 0x76ec, 0x2f59,
-  0x76d9, 0x2f87, 0x76c7, 0x2fb6, 0x76b4, 0x2fe5, 0x76a1, 0x3013,
-  0x768e, 0x3042, 0x767b, 0x3070, 0x7668, 0x309f, 0x7655, 0x30cd,
-  0x7642, 0x30fc, 0x762e, 0x312a, 0x761b, 0x3159, 0x7608, 0x3187,
-  0x75f4, 0x31b5, 0x75e1, 0x31e4, 0x75cd, 0x3212, 0x75b9, 0x3240,
-  0x75a6, 0x326e, 0x7592, 0x329d, 0x757e, 0x32cb, 0x756a, 0x32f9,
-  0x7556, 0x3327, 0x7542, 0x3355, 0x752d, 0x3383, 0x7519, 0x33b1,
-  0x7505, 0x33df, 0x74f0, 0x340d, 0x74dc, 0x343b, 0x74c7, 0x3469,
-  0x74b3, 0x3497, 0x749e, 0x34c4, 0x7489, 0x34f2, 0x7475, 0x3520,
-  0x7460, 0x354e, 0x744b, 0x357b, 0x7436, 0x35a9, 0x7421, 0x35d7,
-  0x740b, 0x3604, 0x73f6, 0x3632, 0x73e1, 0x365f, 0x73cb, 0x368d,
-  0x73b6, 0x36ba, 0x73a0, 0x36e8, 0x738b, 0x3715, 0x7375, 0x3742,
-  0x735f, 0x3770, 0x734a, 0x379d, 0x7334, 0x37ca, 0x731e, 0x37f7,
-  0x7308, 0x3825, 0x72f2, 0x3852, 0x72dc, 0x387f, 0x72c5, 0x38ac,
-  0x72af, 0x38d9, 0x7299, 0x3906, 0x7282, 0x3933, 0x726c, 0x3960,
-  0x7255, 0x398d, 0x723f, 0x39ba, 0x7228, 0x39e7, 0x7211, 0x3a13,
-  0x71fa, 0x3a40, 0x71e3, 0x3a6d, 0x71cc, 0x3a9a, 0x71b5, 0x3ac6,
-  0x719e, 0x3af3, 0x7187, 0x3b20, 0x7170, 0x3b4c, 0x7158, 0x3b79,
-  0x7141, 0x3ba5, 0x712a, 0x3bd2, 0x7112, 0x3bfe, 0x70fa, 0x3c2a,
-  0x70e3, 0x3c57, 0x70cb, 0x3c83, 0x70b3, 0x3caf, 0x709b, 0x3cdc,
-  0x7083, 0x3d08, 0x706b, 0x3d34, 0x7053, 0x3d60, 0x703b, 0x3d8c,
-  0x7023, 0x3db8, 0x700b, 0x3de4, 0x6ff2, 0x3e10, 0x6fda, 0x3e3c,
-  0x6fc2, 0x3e68, 0x6fa9, 0x3e94, 0x6f90, 0x3ec0, 0x6f78, 0x3eec,
-  0x6f5f, 0x3f17, 0x6f46, 0x3f43, 0x6f2d, 0x3f6f, 0x6f14, 0x3f9a,
-  0x6efb, 0x3fc6, 0x6ee2, 0x3ff1, 0x6ec9, 0x401d, 0x6eb0, 0x4048,
-  0x6e97, 0x4074, 0x6e7d, 0x409f, 0x6e64, 0x40cb, 0x6e4a, 0x40f6,
-  0x6e31, 0x4121, 0x6e17, 0x414d, 0x6dfe, 0x4178, 0x6de4, 0x41a3,
-  0x6dca, 0x41ce, 0x6db0, 0x41f9, 0x6d96, 0x4224, 0x6d7c, 0x424f,
-  0x6d62, 0x427a, 0x6d48, 0x42a5, 0x6d2e, 0x42d0, 0x6d14, 0x42fb,
-  0x6cf9, 0x4326, 0x6cdf, 0x4351, 0x6cc4, 0x437b, 0x6caa, 0x43a6,
-  0x6c8f, 0x43d1, 0x6c75, 0x43fb, 0x6c5a, 0x4426, 0x6c3f, 0x4450,
-  0x6c24, 0x447b, 0x6c09, 0x44a5, 0x6bee, 0x44d0, 0x6bd3, 0x44fa,
-  0x6bb8, 0x4524, 0x6b9d, 0x454f, 0x6b82, 0x4579, 0x6b66, 0x45a3,
-  0x6b4b, 0x45cd, 0x6b30, 0x45f7, 0x6b14, 0x4621, 0x6af8, 0x464b,
-  0x6add, 0x4675, 0x6ac1, 0x469f, 0x6aa5, 0x46c9, 0x6a89, 0x46f3,
-  0x6a6e, 0x471d, 0x6a52, 0x4747, 0x6a36, 0x4770, 0x6a1a, 0x479a,
-  0x69fd, 0x47c4, 0x69e1, 0x47ed, 0x69c5, 0x4817, 0x69a9, 0x4840,
-  0x698c, 0x486a, 0x6970, 0x4893, 0x6953, 0x48bd, 0x6937, 0x48e6,
-  0x691a, 0x490f, 0x68fd, 0x4939, 0x68e0, 0x4962, 0x68c4, 0x498b,
-  0x68a7, 0x49b4, 0x688a, 0x49dd, 0x686d, 0x4a06, 0x6850, 0x4a2f,
-  0x6832, 0x4a58, 0x6815, 0x4a81, 0x67f8, 0x4aaa, 0x67da, 0x4ad3,
-  0x67bd, 0x4afb, 0x67a0, 0x4b24, 0x6782, 0x4b4d, 0x6764, 0x4b75,
-  0x6747, 0x4b9e, 0x6729, 0x4bc7, 0x670b, 0x4bef, 0x66ed, 0x4c17,
-  0x66d0, 0x4c40, 0x66b2, 0x4c68, 0x6693, 0x4c91, 0x6675, 0x4cb9,
-  0x6657, 0x4ce1, 0x6639, 0x4d09, 0x661b, 0x4d31, 0x65fc, 0x4d59,
-  0x65de, 0x4d81, 0x65c0, 0x4da9, 0x65a1, 0x4dd1, 0x6582, 0x4df9,
-  0x6564, 0x4e21, 0x6545, 0x4e49, 0x6526, 0x4e71, 0x6507, 0x4e98,
-  0x64e9, 0x4ec0, 0x64ca, 0x4ee8, 0x64ab, 0x4f0f, 0x648b, 0x4f37,
-  0x646c, 0x4f5e, 0x644d, 0x4f85, 0x642e, 0x4fad, 0x640f, 0x4fd4,
-  0x63ef, 0x4ffb, 0x63d0, 0x5023, 0x63b0, 0x504a, 0x6391, 0x5071,
-  0x6371, 0x5098, 0x6351, 0x50bf, 0x6332, 0x50e6, 0x6312, 0x510d,
-  0x62f2, 0x5134, 0x62d2, 0x515b, 0x62b2, 0x5181, 0x6292, 0x51a8,
-  0x6272, 0x51cf, 0x6252, 0x51f5, 0x6232, 0x521c, 0x6211, 0x5243,
-  0x61f1, 0x5269, 0x61d1, 0x5290, 0x61b0, 0x52b6, 0x6190, 0x52dc,
-  0x616f, 0x5303, 0x614e, 0x5329, 0x612e, 0x534f, 0x610d, 0x5375,
-  0x60ec, 0x539b, 0x60cb, 0x53c1, 0x60aa, 0x53e7, 0x6089, 0x540d,
-  0x6068, 0x5433, 0x6047, 0x5459, 0x6026, 0x547f, 0x6005, 0x54a4,
-  0x5fe4, 0x54ca, 0x5fc2, 0x54f0, 0x5fa1, 0x5515, 0x5f80, 0x553b,
-  0x5f5e, 0x5560, 0x5f3c, 0x5586, 0x5f1b, 0x55ab, 0x5ef9, 0x55d0,
-  0x5ed7, 0x55f6, 0x5eb6, 0x561b, 0x5e94, 0x5640, 0x5e72, 0x5665,
-  0x5e50, 0x568a, 0x5e2e, 0x56af, 0x5e0c, 0x56d4, 0x5dea, 0x56f9,
-  0x5dc8, 0x571e, 0x5da5, 0x5743, 0x5d83, 0x5767, 0x5d61, 0x578c,
-  0x5d3e, 0x57b1, 0x5d1c, 0x57d5, 0x5cf9, 0x57fa, 0x5cd7, 0x581e,
-  0x5cb4, 0x5843, 0x5c91, 0x5867, 0x5c6f, 0x588c, 0x5c4c, 0x58b0,
-  0x5c29, 0x58d4, 0x5c06, 0x58f8, 0x5be3, 0x591c, 0x5bc0, 0x5940,
-  0x5b9d, 0x5964, 0x5b7a, 0x5988, 0x5b57, 0x59ac, 0x5b34, 0x59d0,
-  0x5b10, 0x59f4, 0x5aed, 0x5a18, 0x5ac9, 0x5a3b, 0x5aa6, 0x5a5f,
-  0x5a82, 0x5a82, 0x5a5f, 0x5aa6, 0x5a3b, 0x5ac9, 0x5a18, 0x5aed,
-  0x59f4, 0x5b10, 0x59d0, 0x5b34, 0x59ac, 0x5b57, 0x5988, 0x5b7a,
-  0x5964, 0x5b9d, 0x5940, 0x5bc0, 0x591c, 0x5be3, 0x58f8, 0x5c06,
-  0x58d4, 0x5c29, 0x58b0, 0x5c4c, 0x588c, 0x5c6f, 0x5867, 0x5c91,
-  0x5843, 0x5cb4, 0x581e, 0x5cd7, 0x57fa, 0x5cf9, 0x57d5, 0x5d1c,
-  0x57b1, 0x5d3e, 0x578c, 0x5d61, 0x5767, 0x5d83, 0x5743, 0x5da5,
-  0x571e, 0x5dc8, 0x56f9, 0x5dea, 0x56d4, 0x5e0c, 0x56af, 0x5e2e,
-  0x568a, 0x5e50, 0x5665, 0x5e72, 0x5640, 0x5e94, 0x561b, 0x5eb6,
-  0x55f6, 0x5ed7, 0x55d0, 0x5ef9, 0x55ab, 0x5f1b, 0x5586, 0x5f3c,
-  0x5560, 0x5f5e, 0x553b, 0x5f80, 0x5515, 0x5fa1, 0x54f0, 0x5fc2,
-  0x54ca, 0x5fe4, 0x54a4, 0x6005, 0x547f, 0x6026, 0x5459, 0x6047,
-  0x5433, 0x6068, 0x540d, 0x6089, 0x53e7, 0x60aa, 0x53c1, 0x60cb,
-  0x539b, 0x60ec, 0x5375, 0x610d, 0x534f, 0x612e, 0x5329, 0x614e,
-  0x5303, 0x616f, 0x52dc, 0x6190, 0x52b6, 0x61b0, 0x5290, 0x61d1,
-  0x5269, 0x61f1, 0x5243, 0x6211, 0x521c, 0x6232, 0x51f5, 0x6252,
-  0x51cf, 0x6272, 0x51a8, 0x6292, 0x5181, 0x62b2, 0x515b, 0x62d2,
-  0x5134, 0x62f2, 0x510d, 0x6312, 0x50e6, 0x6332, 0x50bf, 0x6351,
-  0x5098, 0x6371, 0x5071, 0x6391, 0x504a, 0x63b0, 0x5023, 0x63d0,
-  0x4ffb, 0x63ef, 0x4fd4, 0x640f, 0x4fad, 0x642e, 0x4f85, 0x644d,
-  0x4f5e, 0x646c, 0x4f37, 0x648b, 0x4f0f, 0x64ab, 0x4ee8, 0x64ca,
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-  0xaecc, 0x9d0e, 0xaef3, 0x9cee, 0xaf1a, 0x9cce, 0xaf41, 0x9caf,
-  0xaf68, 0x9c8f, 0xaf8f, 0x9c6f, 0xafb6, 0x9c50, 0xafdd, 0x9c30,
-  0xb005, 0x9c11, 0xb02c, 0x9bf1, 0xb053, 0x9bd2, 0xb07b, 0x9bb3,
-  0xb0a2, 0x9b94, 0xb0c9, 0x9b75, 0xb0f1, 0x9b55, 0xb118, 0x9b36,
-  0xb140, 0x9b17, 0xb168, 0x9af9, 0xb18f, 0x9ada, 0xb1b7, 0x9abb,
-  0xb1df, 0x9a9c, 0xb207, 0x9a7e, 0xb22f, 0x9a5f, 0xb257, 0x9a40,
-  0xb27f, 0x9a22, 0xb2a7, 0x9a04, 0xb2cf, 0x99e5, 0xb2f7, 0x99c7,
-  0xb31f, 0x99a9, 0xb347, 0x998b, 0xb36f, 0x996d, 0xb398, 0x994e,
-  0xb3c0, 0x9930, 0xb3e9, 0x9913, 0xb411, 0x98f5, 0xb439, 0x98d7,
-  0xb462, 0x98b9, 0xb48b, 0x989c, 0xb4b3, 0x987e, 0xb4dc, 0x9860,
-  0xb505, 0x9843, 0xb52d, 0x9826, 0xb556, 0x9808, 0xb57f, 0x97eb,
-  0xb5a8, 0x97ce, 0xb5d1, 0x97b0, 0xb5fa, 0x9793, 0xb623, 0x9776,
-  0xb64c, 0x9759, 0xb675, 0x973c, 0xb69e, 0x9720, 0xb6c7, 0x9703,
-  0xb6f1, 0x96e6, 0xb71a, 0x96c9, 0xb743, 0x96ad, 0xb76d, 0x9690,
-  0xb796, 0x9674, 0xb7c0, 0x9657, 0xb7e9, 0x963b, 0xb813, 0x961f,
-  0xb83c, 0x9603, 0xb866, 0x95e6, 0xb890, 0x95ca, 0xb8b9, 0x95ae,
-  0xb8e3, 0x9592, 0xb90d, 0x9577, 0xb937, 0x955b, 0xb961, 0x953f,
-  0xb98b, 0x9523, 0xb9b5, 0x9508, 0xb9df, 0x94ec, 0xba09, 0x94d0,
-  0xba33, 0x94b5, 0xba5d, 0x949a, 0xba87, 0x947e, 0xbab1, 0x9463,
-  0xbadc, 0x9448, 0xbb06, 0x942d, 0xbb30, 0x9412, 0xbb5b, 0x93f7,
-  0xbb85, 0x93dc, 0xbbb0, 0x93c1, 0xbbda, 0x93a6, 0xbc05, 0x938b,
-  0xbc2f, 0x9371, 0xbc5a, 0x9356, 0xbc85, 0x933c, 0xbcaf, 0x9321,
-  0xbcda, 0x9307, 0xbd05, 0x92ec, 0xbd30, 0x92d2, 0xbd5b, 0x92b8,
-  0xbd86, 0x929e, 0xbdb1, 0x9284, 0xbddc, 0x926a, 0xbe07, 0x9250,
-  0xbe32, 0x9236, 0xbe5d, 0x921c, 0xbe88, 0x9202, 0xbeb3, 0x91e9,
-  0xbedf, 0x91cf, 0xbf0a, 0x91b6, 0xbf35, 0x919c, 0xbf61, 0x9183,
-  0xbf8c, 0x9169, 0xbfb8, 0x9150, 0xbfe3, 0x9137, 0xc00f, 0x911e,
-  0xc03a, 0x9105, 0xc066, 0x90ec, 0xc091, 0x90d3, 0xc0bd, 0x90ba,
-  0xc0e9, 0x90a1, 0xc114, 0x9088, 0xc140, 0x9070, 0xc16c, 0x9057,
-  0xc198, 0x903e, 0xc1c4, 0x9026, 0xc1f0, 0x900e, 0xc21c, 0x8ff5,
-  0xc248, 0x8fdd, 0xc274, 0x8fc5, 0xc2a0, 0x8fad, 0xc2cc, 0x8f95,
-  0xc2f8, 0x8f7d, 0xc324, 0x8f65, 0xc351, 0x8f4d, 0xc37d, 0x8f35,
-  0xc3a9, 0x8f1d, 0xc3d6, 0x8f06, 0xc402, 0x8eee, 0xc42e, 0x8ed6,
-  0xc45b, 0x8ebf, 0xc487, 0x8ea8, 0xc4b4, 0x8e90, 0xc4e0, 0x8e79,
-  0xc50d, 0x8e62, 0xc53a, 0x8e4b, 0xc566, 0x8e34, 0xc593, 0x8e1d,
-  0xc5c0, 0x8e06, 0xc5ed, 0x8def, 0xc619, 0x8dd8, 0xc646, 0x8dc1,
-  0xc673, 0x8dab, 0xc6a0, 0x8d94, 0xc6cd, 0x8d7e, 0xc6fa, 0x8d67,
-  0xc727, 0x8d51, 0xc754, 0x8d3b, 0xc781, 0x8d24, 0xc7ae, 0x8d0e,
-  0xc7db, 0x8cf8, 0xc809, 0x8ce2, 0xc836, 0x8ccc, 0xc863, 0x8cb6,
-  0xc890, 0x8ca1, 0xc8be, 0x8c8b, 0xc8eb, 0x8c75, 0xc918, 0x8c60,
-  0xc946, 0x8c4a, 0xc973, 0x8c35, 0xc9a1, 0x8c1f, 0xc9ce, 0x8c0a,
-  0xc9fc, 0x8bf5, 0xca29, 0x8bdf, 0xca57, 0x8bca, 0xca85, 0x8bb5,
-  0xcab2, 0x8ba0, 0xcae0, 0x8b8b, 0xcb0e, 0x8b77, 0xcb3c, 0x8b62,
-  0xcb69, 0x8b4d, 0xcb97, 0x8b39, 0xcbc5, 0x8b24, 0xcbf3, 0x8b10,
-  0xcc21, 0x8afb, 0xcc4f, 0x8ae7, 0xcc7d, 0x8ad3, 0xccab, 0x8abe,
-  0xccd9, 0x8aaa, 0xcd07, 0x8a96, 0xcd35, 0x8a82, 0xcd63, 0x8a6e,
-  0xcd92, 0x8a5a, 0xcdc0, 0x8a47, 0xcdee, 0x8a33, 0xce1c, 0x8a1f,
-  0xce4b, 0x8a0c, 0xce79, 0x89f8, 0xcea7, 0x89e5, 0xced6, 0x89d2,
-  0xcf04, 0x89be, 0xcf33, 0x89ab, 0xcf61, 0x8998, 0xcf90, 0x8985,
-  0xcfbe, 0x8972, 0xcfed, 0x895f, 0xd01b, 0x894c, 0xd04a, 0x8939,
-  0xd079, 0x8927, 0xd0a7, 0x8914, 0xd0d6, 0x8902, 0xd105, 0x88ef,
-  0xd134, 0x88dd, 0xd162, 0x88ca, 0xd191, 0x88b8, 0xd1c0, 0x88a6,
-  0xd1ef, 0x8894, 0xd21e, 0x8882, 0xd24d, 0x8870, 0xd27c, 0x885e,
-  0xd2ab, 0x884c, 0xd2da, 0x883a, 0xd309, 0x8828, 0xd338, 0x8817,
-  0xd367, 0x8805, 0xd396, 0x87f4, 0xd3c5, 0x87e2, 0xd3f4, 0x87d1,
-  0xd424, 0x87c0, 0xd453, 0x87af, 0xd482, 0x879d, 0xd4b1, 0x878c,
-  0xd4e1, 0x877b, 0xd510, 0x876b, 0xd53f, 0x875a, 0xd56f, 0x8749,
-  0xd59e, 0x8738, 0xd5ce, 0x8728, 0xd5fd, 0x8717, 0xd62d, 0x8707,
-  0xd65c, 0x86f6, 0xd68c, 0x86e6, 0xd6bb, 0x86d6, 0xd6eb, 0x86c6,
-  0xd71b, 0x86b6, 0xd74a, 0x86a5, 0xd77a, 0x8696, 0xd7aa, 0x8686,
-  0xd7d9, 0x8676, 0xd809, 0x8666, 0xd839, 0x8656, 0xd869, 0x8647,
-  0xd898, 0x8637, 0xd8c8, 0x8628, 0xd8f8, 0x8619, 0xd928, 0x8609,
-  0xd958, 0x85fa, 0xd988, 0x85eb, 0xd9b8, 0x85dc, 0xd9e8, 0x85cd,
-  0xda18, 0x85be, 0xda48, 0x85af, 0xda78, 0x85a0, 0xdaa8, 0x8592,
-  0xdad8, 0x8583, 0xdb08, 0x8574, 0xdb38, 0x8566, 0xdb68, 0x8558,
-  0xdb99, 0x8549, 0xdbc9, 0x853b, 0xdbf9, 0x852d, 0xdc29, 0x851f,
-  0xdc59, 0x8511, 0xdc8a, 0x8503, 0xdcba, 0x84f5, 0xdcea, 0x84e7,
-  0xdd1b, 0x84d9, 0xdd4b, 0x84cc, 0xdd7c, 0x84be, 0xddac, 0x84b0,
-  0xdddc, 0x84a3, 0xde0d, 0x8496, 0xde3d, 0x8488, 0xde6e, 0x847b,
-  0xde9e, 0x846e, 0xdecf, 0x8461, 0xdeff, 0x8454, 0xdf30, 0x8447,
-  0xdf61, 0x843a, 0xdf91, 0x842d, 0xdfc2, 0x8421, 0xdff2, 0x8414,
-  0xe023, 0x8407, 0xe054, 0x83fb, 0xe085, 0x83ef, 0xe0b5, 0x83e2,
-  0xe0e6, 0x83d6, 0xe117, 0x83ca, 0xe148, 0x83be, 0xe178, 0x83b2,
-  0xe1a9, 0x83a6, 0xe1da, 0x839a, 0xe20b, 0x838e, 0xe23c, 0x8382,
-  0xe26d, 0x8377, 0xe29e, 0x836b, 0xe2cf, 0x8360, 0xe2ff, 0x8354,
-  0xe330, 0x8349, 0xe361, 0x833e, 0xe392, 0x8332, 0xe3c3, 0x8327,
-  0xe3f4, 0x831c, 0xe426, 0x8311, 0xe457, 0x8306, 0xe488, 0x82fb,
-  0xe4b9, 0x82f1, 0xe4ea, 0x82e6, 0xe51b, 0x82db, 0xe54c, 0x82d1,
-  0xe57d, 0x82c6, 0xe5af, 0x82bc, 0xe5e0, 0x82b2, 0xe611, 0x82a8,
-  0xe642, 0x829d, 0xe673, 0x8293, 0xe6a5, 0x8289, 0xe6d6, 0x827f,
-  0xe707, 0x8276, 0xe739, 0x826c, 0xe76a, 0x8262, 0xe79b, 0x8259,
-  0xe7cd, 0x824f, 0xe7fe, 0x8246, 0xe82f, 0x823c, 0xe861, 0x8233,
-  0xe892, 0x822a, 0xe8c4, 0x8220, 0xe8f5, 0x8217, 0xe926, 0x820e,
-  0xe958, 0x8205, 0xe989, 0x81fd, 0xe9bb, 0x81f4, 0xe9ec, 0x81eb,
-  0xea1e, 0x81e2, 0xea4f, 0x81da, 0xea81, 0x81d1, 0xeab3, 0x81c9,
-  0xeae4, 0x81c1, 0xeb16, 0x81b8, 0xeb47, 0x81b0, 0xeb79, 0x81a8,
-  0xebab, 0x81a0, 0xebdc, 0x8198, 0xec0e, 0x8190, 0xec3f, 0x8188,
-  0xec71, 0x8181, 0xeca3, 0x8179, 0xecd5, 0x8172, 0xed06, 0x816a,
-  0xed38, 0x8163, 0xed6a, 0x815b, 0xed9b, 0x8154, 0xedcd, 0x814d,
-  0xedff, 0x8146, 0xee31, 0x813f, 0xee62, 0x8138, 0xee94, 0x8131,
-  0xeec6, 0x812a, 0xeef8, 0x8123, 0xef2a, 0x811d, 0xef5c, 0x8116,
-  0xef8d, 0x8110, 0xefbf, 0x8109, 0xeff1, 0x8103, 0xf023, 0x80fd,
-  0xf055, 0x80f6, 0xf087, 0x80f0, 0xf0b9, 0x80ea, 0xf0eb, 0x80e4,
-  0xf11c, 0x80de, 0xf14e, 0x80d9, 0xf180, 0x80d3, 0xf1b2, 0x80cd,
- 0xf1e4, 0x80c8, 0xf216, 0x80c2, 0xf248, 0x80bd, 0xf27a, 0x80b7,
- 0xf2ac, 0x80b2, 0xf2de, 0x80ad, 0xf310, 0x80a8, 0xf342, 0x80a3,
- 0xf374, 0x809e, 0xf3a6, 0x8099, 0xf3d8, 0x8094, 0xf40a, 0x808f,
- 0xf43c, 0x808b, 0xf46e, 0x8086, 0xf4a0, 0x8082, 0xf4d3, 0x807d,
- 0xf505, 0x8079, 0xf537, 0x8075, 0xf569, 0x8070, 0xf59b, 0x806c,
- 0xf5cd, 0x8068, 0xf5ff, 0x8064, 0xf631, 0x8060, 0xf663, 0x805d,
- 0xf695, 0x8059, 0xf6c8, 0x8055, 0xf6fa, 0x8052, 0xf72c, 0x804e,
- 0xf75e, 0x804b, 0xf790, 0x8047, 0xf7c2, 0x8044, 0xf7f4, 0x8041,
- 0xf827, 0x803e, 0xf859, 0x803b, 0xf88b, 0x8038, 0xf8bd, 0x8035,
- 0xf8ef, 0x8032, 0xf922, 0x802f, 0xf954, 0x802d, 0xf986, 0x802a,
- 0xf9b8, 0x8027, 0xf9ea, 0x8025, 0xfa1d, 0x8023, 0xfa4f, 0x8020,
- 0xfa81, 0x801e, 0xfab3, 0x801c, 0xfae5, 0x801a, 0xfb18, 0x8018,
- 0xfb4a, 0x8016, 0xfb7c, 0x8014, 0xfbae, 0x8013, 0xfbe1, 0x8011,
- 0xfc13, 0x800f, 0xfc45, 0x800e, 0xfc77, 0x800c, 0xfcaa, 0x800b,
- 0xfcdc, 0x800a, 0xfd0e, 0x8009, 0xfd40, 0x8008, 0xfd73, 0x8007,
- 0xfda5, 0x8006, 0xfdd7, 0x8005, 0xfe09, 0x8004, 0xfe3c, 0x8003,
- 0xfe6e, 0x8002, 0xfea0, 0x8002, 0xfed2, 0x8001, 0xff05, 0x8001,
- 0xff37, 0x8001, 0xff69, 0x8000, 0xff9b, 0x8000, 0xffce, 0x8000,
-};
+const q15_t twiddleCoef_4096_q15[6144] = 
+{
+    0x7FFF, 0x0000,
+    0x7FFF, 0x0032,
+    0x7FFF, 0x0064,
+    0x7FFF, 0x0096,
+    0x7FFF, 0x00C9,
+    0x7FFF, 0x00FB,
+    0x7FFE, 0x012D,
+    0x7FFE, 0x015F,
+    0x7FFD, 0x0192,
+    0x7FFC, 0x01C4,
+    0x7FFC, 0x01F6,
+    0x7FFB, 0x0228,
+    0x7FFA, 0x025B,
+    0x7FF9, 0x028D,
+    0x7FF8, 0x02BF,
+    0x7FF7, 0x02F1,
+    0x7FF6, 0x0324,
+    0x7FF4, 0x0356,
+    0x7FF3, 0x0388,
+    0x7FF2, 0x03BA,
+    0x7FF0, 0x03ED,
+    0x7FEE, 0x041F,
+    0x7FED, 0x0451,
+    0x7FEB, 0x0483,
+    0x7FE9, 0x04B6,
+    0x7FE7, 0x04E8,
+    0x7FE5, 0x051A,
+    0x7FE3, 0x054C,
+    0x7FE1, 0x057F,
+    0x7FDF, 0x05B1,
+    0x7FDD, 0x05E3,
+    0x7FDA, 0x0615,
+    0x7FD8, 0x0647,
+    0x7FD6, 0x067A,
+    0x7FD3, 0x06AC,
+    0x7FD0, 0x06DE,
+    0x7FCE, 0x0710,
+    0x7FCB, 0x0742,
+    0x7FC8, 0x0775,
+    0x7FC5, 0x07A7,
+    0x7FC2, 0x07D9,
+    0x7FBF, 0x080B,
+    0x7FBC, 0x083D,
+    0x7FB8, 0x086F,
+    0x7FB5, 0x08A2,
+    0x7FB1, 0x08D4,
+    0x7FAE, 0x0906,
+    0x7FAA, 0x0938,
+    0x7FA7, 0x096A,
+    0x7FA3, 0x099C,
+    0x7F9F, 0x09CE,
+    0x7F9B, 0x0A00,
+    0x7F97, 0x0A33,
+    0x7F93, 0x0A65,
+    0x7F8F, 0x0A97,
+    0x7F8B, 0x0AC9,
+    0x7F87, 0x0AFB,
+    0x7F82, 0x0B2D,
+    0x7F7E, 0x0B5F,
+    0x7F79, 0x0B91,
+    0x7F75, 0x0BC3,
+    0x7F70, 0x0BF5,
+    0x7F6B, 0x0C27,
+    0x7F67, 0x0C59,
+    0x7F62, 0x0C8B,
+    0x7F5D, 0x0CBD,
+    0x7F58, 0x0CEF,
+    0x7F53, 0x0D21,
+    0x7F4D, 0x0D53,
+    0x7F48, 0x0D85,
+    0x7F43, 0x0DB7,
+    0x7F3D, 0x0DE9,
+    0x7F38, 0x0E1B,
+    0x7F32, 0x0E4D,
+    0x7F2D, 0x0E7F,
+    0x7F27, 0x0EB1,
+    0x7F21, 0x0EE3,
+    0x7F1B, 0x0F15,
+    0x7F15, 0x0F47,
+    0x7F0F, 0x0F79,
+    0x7F09, 0x0FAB,
+    0x7F03, 0x0FDD,
+    0x7EFD, 0x100E,
+    0x7EF6, 0x1040,
+    0x7EF0, 0x1072,
+    0x7EE9, 0x10A4,
+    0x7EE3, 0x10D6,
+    0x7EDC, 0x1108,
+    0x7ED5, 0x1139,
+    0x7ECF, 0x116B,
+    0x7EC8, 0x119D,
+    0x7EC1, 0x11CF,
+    0x7EBA, 0x1201,
+    0x7EB3, 0x1232,
+    0x7EAB, 0x1264,
+    0x7EA4, 0x1296,
+    0x7E9D, 0x12C8,
+    0x7E95, 0x12F9,
+    0x7E8E, 0x132B,
+    0x7E86, 0x135D,
+    0x7E7F, 0x138E,
+    0x7E77, 0x13C0,
+    0x7E6F, 0x13F2,
+    0x7E67, 0x1423,
+    0x7E5F, 0x1455,
+    0x7E57, 0x1487,
+    0x7E4F, 0x14B8,
+    0x7E47, 0x14EA,
+    0x7E3F, 0x151B,
+    0x7E37, 0x154D,
+    0x7E2E, 0x157F,
+    0x7E26, 0x15B0,
+    0x7E1D, 0x15E2,
+    0x7E14, 0x1613,
+    0x7E0C, 0x1645,
+    0x7E03, 0x1676,
+    0x7DFA, 0x16A8,
+    0x7DF1, 0x16D9,
+    0x7DE8, 0x170A,
+    0x7DDF, 0x173C,
+    0x7DD6, 0x176D,
+    0x7DCD, 0x179F,
+    0x7DC3, 0x17D0,
+    0x7DBA, 0x1802,
+    0x7DB0, 0x1833,
+    0x7DA7, 0x1864,
+    0x7D9D, 0x1896,
+    0x7D94, 0x18C7,
+    0x7D8A, 0x18F8,
+    0x7D80, 0x192A,
+    0x7D76, 0x195B,
+    0x7D6C, 0x198C,
+    0x7D62, 0x19BD,
+    0x7D58, 0x19EF,
+    0x7D4E, 0x1A20,
+    0x7D43, 0x1A51,
+    0x7D39, 0x1A82,
+    0x7D2F, 0x1AB3,
+    0x7D24, 0x1AE4,
+    0x7D19, 0x1B16,
+    0x7D0F, 0x1B47,
+    0x7D04, 0x1B78,
+    0x7CF9, 0x1BA9,
+    0x7CEE, 0x1BDA,
+    0x7CE3, 0x1C0B,
+    0x7CD8, 0x1C3C,
+    0x7CCD, 0x1C6D,
+    0x7CC2, 0x1C9E,
+    0x7CB7, 0x1CCF,
+    0x7CAB, 0x1D00,
+    0x7CA0, 0x1D31,
+    0x7C94, 0x1D62,
+    0x7C89, 0x1D93,
+    0x7C7D, 0x1DC4,
+    0x7C71, 0x1DF5,
+    0x7C66, 0x1E25,
+    0x7C5A, 0x1E56,
+    0x7C4E, 0x1E87,
+    0x7C42, 0x1EB8,
+    0x7C36, 0x1EE9,
+    0x7C29, 0x1F19,
+    0x7C1D, 0x1F4A,
+    0x7C11, 0x1F7B,
+    0x7C05, 0x1FAC,
+    0x7BF8, 0x1FDC,
+    0x7BEB, 0x200D,
+    0x7BDF, 0x203E,
+    0x7BD2, 0x206E,
+    0x7BC5, 0x209F,
+    0x7BB9, 0x20D0,
+    0x7BAC, 0x2100,
+    0x7B9F, 0x2131,
+    0x7B92, 0x2161,
+    0x7B84, 0x2192,
+    0x7B77, 0x21C2,
+    0x7B6A, 0x21F3,
+    0x7B5D, 0x2223,
+    0x7B4F, 0x2254,
+    0x7B42, 0x2284,
+    0x7B34, 0x22B4,
+    0x7B26, 0x22E5,
+    0x7B19, 0x2315,
+    0x7B0B, 0x2345,
+    0x7AFD, 0x2376,
+    0x7AEF, 0x23A6,
+    0x7AE1, 0x23D6,
+    0x7AD3, 0x2407,
+    0x7AC5, 0x2437,
+    0x7AB6, 0x2467,
+    0x7AA8, 0x2497,
+    0x7A9A, 0x24C7,
+    0x7A8B, 0x24F7,
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+    0x88EF, 0x2EFB,
+    0x88DC, 0x2ECC,
+    0x88CA, 0x2E9D,
+    0x88B8, 0x2E6E,
+    0x88A5, 0x2E3F,
+    0x8893, 0x2E11,
+    0x8881, 0x2DE2,
+    0x886F, 0x2DB3,
+    0x885D, 0x2D84,
+    0x884B, 0x2D55,
+    0x883A, 0x2D26,
+    0x8828, 0x2CF7,
+    0x8816, 0x2CC8,
+    0x8805, 0x2C98,
+    0x87F3, 0x2C69,
+    0x87E2, 0x2C3A,
+    0x87D1, 0x2C0B,
+    0x87BF, 0x2BDC,
+    0x87AE, 0x2BAD,
+    0x879D, 0x2B7D,
+    0x878C, 0x2B4E,
+    0x877B, 0x2B1F,
+    0x876A, 0x2AEF,
+    0x8759, 0x2AC0,
+    0x8749, 0x2A91,
+    0x8738, 0x2A61,
+    0x8727, 0x2A32,
+    0x8717, 0x2A02,
+    0x8706, 0x29D3,
+    0x86F6, 0x29A3,
+    0x86E6, 0x2974,
+    0x86D5, 0x2944,
+    0x86C5, 0x2915,
+    0x86B5, 0x28E5,
+    0x86A5, 0x28B5,
+    0x8695, 0x2886,
+    0x8685, 0x2856,
+    0x8675, 0x2826,
+    0x8666, 0x27F6,
+    0x8656, 0x27C7,
+    0x8646, 0x2797,
+    0x8637, 0x2767,
+    0x8627, 0x2737,
+    0x8618, 0x2707,
+    0x8609, 0x26D8,
+    0x85FA, 0x26A8,
+    0x85EA, 0x2678,
+    0x85DB, 0x2648,
+    0x85CC, 0x2618,
+    0x85BD, 0x25E8,
+    0x85AF, 0x25B8,
+    0x85A0, 0x2588,
+    0x8591, 0x2558,
+    0x8582, 0x2528,
+    0x8574, 0x24F7,
+    0x8565, 0x24C7,
+    0x8557, 0x2497,
+    0x8549, 0x2467,
+    0x853A, 0x2437,
+    0x852C, 0x2407,
+    0x851E, 0x23D6,
+    0x8510, 0x23A6,
+    0x8502, 0x2376,
+    0x84F4, 0x2345,
+    0x84E6, 0x2315,
+    0x84D9, 0x22E5,
+    0x84CB, 0x22B4,
+    0x84BD, 0x2284,
+    0x84B0, 0x2254,
+    0x84A2, 0x2223,
+    0x8495, 0x21F3,
+    0x8488, 0x21C2,
+    0x847B, 0x2192,
+    0x846D, 0x2161,
+    0x8460, 0x2131,
+    0x8453, 0x2100,
+    0x8446, 0x20D0,
+    0x843A, 0x209F,
+    0x842D, 0x206E,
+    0x8420, 0x203E,
+    0x8414, 0x200D,
+    0x8407, 0x1FDC,
+    0x83FA, 0x1FAC,
+    0x83EE, 0x1F7B,
+    0x83E2, 0x1F4A,
+    0x83D6, 0x1F19,
+    0x83C9, 0x1EE9,
+    0x83BD, 0x1EB8,
+    0x83B1, 0x1E87,
+    0x83A5, 0x1E56,
+    0x8399, 0x1E25,
+    0x838E, 0x1DF5,
+    0x8382, 0x1DC4,
+    0x8376, 0x1D93,
+    0x836B, 0x1D62,
+    0x835F, 0x1D31,
+    0x8354, 0x1D00,
+    0x8348, 0x1CCF,
+    0x833D, 0x1C9E,
+    0x8332, 0x1C6D,
+    0x8327, 0x1C3C,
+    0x831C, 0x1C0B,
+    0x8311, 0x1BDA,
+    0x8306, 0x1BA9,
+    0x82FB, 0x1B78,
+    0x82F0, 0x1B47,
+    0x82E6, 0x1B16,
+    0x82DB, 0x1AE4,
+    0x82D0, 0x1AB3,
+    0x82C6, 0x1A82,
+    0x82BC, 0x1A51,
+    0x82B1, 0x1A20,
+    0x82A7, 0x19EF,
+    0x829D, 0x19BD,
+    0x8293, 0x198C,
+    0x8289, 0x195B,
+    0x827F, 0x192A,
+    0x8275, 0x18F8,
+    0x826B, 0x18C7,
+    0x8262, 0x1896,
+    0x8258, 0x1864,
+    0x824F, 0x1833,
+    0x8245, 0x1802,
+    0x823C, 0x17D0,
+    0x8232, 0x179F,
+    0x8229, 0x176D,
+    0x8220, 0x173C,
+    0x8217, 0x170A,
+    0x820E, 0x16D9,
+    0x8205, 0x16A8,
+    0x81FC, 0x1676,
+    0x81F3, 0x1645,
+    0x81EB, 0x1613,
+    0x81E2, 0x15E2,
+    0x81D9, 0x15B0,
+    0x81D1, 0x157F,
+    0x81C8, 0x154D,
+    0x81C0, 0x151B,
+    0x81B8, 0x14EA,
+    0x81B0, 0x14B8,
+    0x81A8, 0x1487,
+    0x81A0, 0x1455,
+    0x8198, 0x1423,
+    0x8190, 0x13F2,
+    0x8188, 0x13C0,
+    0x8180, 0x138E,
+    0x8179, 0x135D,
+    0x8171, 0x132B,
+    0x816A, 0x12F9,
+    0x8162, 0x12C8,
+    0x815B, 0x1296,
+    0x8154, 0x1264,
+    0x814C, 0x1232,
+    0x8145, 0x1201,
+    0x813E, 0x11CF,
+    0x8137, 0x119D,
+    0x8130, 0x116B,
+    0x812A, 0x1139,
+    0x8123, 0x1108,
+    0x811C, 0x10D6,
+    0x8116, 0x10A4,
+    0x810F, 0x1072,
+    0x8109, 0x1040,
+    0x8102, 0x100E,
+    0x80FC, 0x0FDD,
+    0x80F6, 0x0FAB,
+    0x80F0, 0x0F79,
+    0x80EA, 0x0F47,
+    0x80E4, 0x0F15,
+    0x80DE, 0x0EE3,
+    0x80D8, 0x0EB1,
+    0x80D2, 0x0E7F,
+    0x80CD, 0x0E4D,
+    0x80C7, 0x0E1B,
+    0x80C2, 0x0DE9,
+    0x80BC, 0x0DB7,
+    0x80B7, 0x0D85,
+    0x80B2, 0x0D53,
+    0x80AC, 0x0D21,
+    0x80A7, 0x0CEF,
+    0x80A2, 0x0CBD,
+    0x809D, 0x0C8B,
+    0x8098, 0x0C59,
+    0x8094, 0x0C27,
+    0x808F, 0x0BF5,
+    0x808A, 0x0BC3,
+    0x8086, 0x0B91,
+    0x8081, 0x0B5F,
+    0x807D, 0x0B2D,
+    0x8078, 0x0AFB,
+    0x8074, 0x0AC9,
+    0x8070, 0x0A97,
+    0x806C, 0x0A65,
+    0x8068, 0x0A33,
+    0x8064, 0x0A00,
+    0x8060, 0x09CE,
+    0x805C, 0x099C,
+    0x8058, 0x096A,
+    0x8055, 0x0938,
+    0x8051, 0x0906,
+    0x804E, 0x08D4,
+    0x804A, 0x08A2,
+    0x8047, 0x086F,
+    0x8043, 0x083D,
+    0x8040, 0x080B,
+    0x803D, 0x07D9,
+    0x803A, 0x07A7,
+    0x8037, 0x0775,
+    0x8034, 0x0742,
+    0x8031, 0x0710,
+    0x802F, 0x06DE,
+    0x802C, 0x06AC,
+    0x8029, 0x067A,
+    0x8027, 0x0647,
+    0x8025, 0x0615,
+    0x8022, 0x05E3,
+    0x8020, 0x05B1,
+    0x801E, 0x057F,
+    0x801C, 0x054C,
+    0x801A, 0x051A,
+    0x8018, 0x04E8,
+    0x8016, 0x04B6,
+    0x8014, 0x0483,
+    0x8012, 0x0451,
+    0x8011, 0x041F,
+    0x800F, 0x03ED,
+    0x800D, 0x03BA,
+    0x800C, 0x0388,
+    0x800B, 0x0356,
+    0x8009, 0x0324,
+    0x8008, 0x02F1,
+    0x8007, 0x02BF,
+    0x8006, 0x028D,
+    0x8005, 0x025B,
+    0x8004, 0x0228,
+    0x8003, 0x01F6,
+    0x8003, 0x01C4,
+    0x8002, 0x0192,
+    0x8001, 0x015F,
+    0x8001, 0x012D,
+    0x8000, 0x00FB,
+    0x8000, 0x00C9,
+    0x8000, 0x0096,
+    0x8000, 0x0064,
+    0x8000, 0x0032,
+    0x8000, 0x0000,
+    0x8000, 0xFFCD,
+    0x8000, 0xFF9B,
+    0x8000, 0xFF69,
+    0x8000, 0xFF36,
+    0x8000, 0xFF04,
+    0x8001, 0xFED2,
+    0x8001, 0xFEA0,
+    0x8002, 0xFE6D,
+    0x8003, 0xFE3B,
+    0x8003, 0xFE09,
+    0x8004, 0xFDD7,
+    0x8005, 0xFDA4,
+    0x8006, 0xFD72,
+    0x8007, 0xFD40,
+    0x8008, 0xFD0E,
+    0x8009, 0xFCDB,
+    0x800B, 0xFCA9,
+    0x800C, 0xFC77,
+    0x800D, 0xFC45,
+    0x800F, 0xFC12,
+    0x8011, 0xFBE0,
+    0x8012, 0xFBAE,
+    0x8014, 0xFB7C,
+    0x8016, 0xFB49,
+    0x8018, 0xFB17,
+    0x801A, 0xFAE5,
+    0x801C, 0xFAB3,
+    0x801E, 0xFA80,
+    0x8020, 0xFA4E,
+    0x8022, 0xFA1C,
+    0x8025, 0xF9EA,
+    0x8027, 0xF9B8,
+    0x8029, 0xF985,
+    0x802C, 0xF953,
+    0x802F, 0xF921,
+    0x8031, 0xF8EF,
+    0x8034, 0xF8BD,
+    0x8037, 0xF88A,
+    0x803A, 0xF858,
+    0x803D, 0xF826,
+    0x8040, 0xF7F4,
+    0x8043, 0xF7C2,
+    0x8047, 0xF790,
+    0x804A, 0xF75D,
+    0x804E, 0xF72B,
+    0x8051, 0xF6F9,
+    0x8055, 0xF6C7,
+    0x8058, 0xF695,
+    0x805C, 0xF663,
+    0x8060, 0xF631,
+    0x8064, 0xF5FF,
+    0x8068, 0xF5CC,
+    0x806C, 0xF59A,
+    0x8070, 0xF568,
+    0x8074, 0xF536,
+    0x8078, 0xF504,
+    0x807D, 0xF4D2,
+    0x8081, 0xF4A0,
+    0x8086, 0xF46E,
+    0x808A, 0xF43C,
+    0x808F, 0xF40A,
+    0x8094, 0xF3D8,
+    0x8098, 0xF3A6,
+    0x809D, 0xF374,
+    0x80A2, 0xF342,
+    0x80A7, 0xF310,
+    0x80AC, 0xF2DE,
+    0x80B2, 0xF2AC,
+    0x80B7, 0xF27A,
+    0x80BC, 0xF248,
+    0x80C2, 0xF216,
+    0x80C7, 0xF1E4,
+    0x80CD, 0xF1B2,
+    0x80D2, 0xF180,
+    0x80D8, 0xF14E,
+    0x80DE, 0xF11C,
+    0x80E4, 0xF0EA,
+    0x80EA, 0xF0B8,
+    0x80F0, 0xF086,
+    0x80F6, 0xF054,
+    0x80FC, 0xF022,
+    0x8102, 0xEFF1,
+    0x8109, 0xEFBF,
+    0x810F, 0xEF8D,
+    0x8116, 0xEF5B,
+    0x811C, 0xEF29,
+    0x8123, 0xEEF7,
+    0x812A, 0xEEC6,
+    0x8130, 0xEE94,
+    0x8137, 0xEE62,
+    0x813E, 0xEE30,
+    0x8145, 0xEDFE,
+    0x814C, 0xEDCD,
+    0x8154, 0xED9B,
+    0x815B, 0xED69,
+    0x8162, 0xED37,
+    0x816A, 0xED06,
+    0x8171, 0xECD4,
+    0x8179, 0xECA2,
+    0x8180, 0xEC71,
+    0x8188, 0xEC3F,
+    0x8190, 0xEC0D,
+    0x8198, 0xEBDC,
+    0x81A0, 0xEBAA,
+    0x81A8, 0xEB78,
+    0x81B0, 0xEB47,
+    0x81B8, 0xEB15,
+    0x81C0, 0xEAE4,
+    0x81C8, 0xEAB2,
+    0x81D1, 0xEA80,
+    0x81D9, 0xEA4F,
+    0x81E2, 0xEA1D,
+    0x81EB, 0xE9EC,
+    0x81F3, 0xE9BA,
+    0x81FC, 0xE989,
+    0x8205, 0xE957,
+    0x820E, 0xE926,
+    0x8217, 0xE8F5,
+    0x8220, 0xE8C3,
+    0x8229, 0xE892,
+    0x8232, 0xE860,
+    0x823C, 0xE82F,
+    0x8245, 0xE7FD,
+    0x824F, 0xE7CC,
+    0x8258, 0xE79B,
+    0x8262, 0xE769,
+    0x826B, 0xE738,
+    0x8275, 0xE707,
+    0x827F, 0xE6D5,
+    0x8289, 0xE6A4,
+    0x8293, 0xE673,
+    0x829D, 0xE642,
+    0x82A7, 0xE610,
+    0x82B1, 0xE5DF,
+    0x82BC, 0xE5AE,
+    0x82C6, 0xE57D,
+    0x82D0, 0xE54C,
+    0x82DB, 0xE51B,
+    0x82E6, 0xE4E9,
+    0x82F0, 0xE4B8,
+    0x82FB, 0xE487,
+    0x8306, 0xE456,
+    0x8311, 0xE425,
+    0x831C, 0xE3F4,
+    0x8327, 0xE3C3,
+    0x8332, 0xE392,
+    0x833D, 0xE361,
+    0x8348, 0xE330,
+    0x8354, 0xE2FF,
+    0x835F, 0xE2CE,
+    0x836B, 0xE29D,
+    0x8376, 0xE26C,
+    0x8382, 0xE23B,
+    0x838E, 0xE20A,
+    0x8399, 0xE1DA,
+    0x83A5, 0xE1A9,
+    0x83B1, 0xE178,
+    0x83BD, 0xE147,
+    0x83C9, 0xE116,
+    0x83D6, 0xE0E6,
+    0x83E2, 0xE0B5,
+    0x83EE, 0xE084,
+    0x83FA, 0xE053,
+    0x8407, 0xE023,
+    0x8414, 0xDFF2,
+    0x8420, 0xDFC1,
+    0x842D, 0xDF91,
+    0x843A, 0xDF60,
+    0x8446, 0xDF2F,
+    0x8453, 0xDEFF,
+    0x8460, 0xDECE,
+    0x846D, 0xDE9E,
+    0x847B, 0xDE6D,
+    0x8488, 0xDE3D,
+    0x8495, 0xDE0C,
+    0x84A2, 0xDDDC,
+    0x84B0, 0xDDAB,
+    0x84BD, 0xDD7B,
+    0x84CB, 0xDD4B,
+    0x84D9, 0xDD1A,
+    0x84E6, 0xDCEA,
+    0x84F4, 0xDCBA,
+    0x8502, 0xDC89,
+    0x8510, 0xDC59,
+    0x851E, 0xDC29,
+    0x852C, 0xDBF8,
+    0x853A, 0xDBC8,
+    0x8549, 0xDB98,
+    0x8557, 0xDB68,
+    0x8565, 0xDB38,
+    0x8574, 0xDB08,
+    0x8582, 0xDAD7,
+    0x8591, 0xDAA7,
+    0x85A0, 0xDA77,
+    0x85AF, 0xDA47,
+    0x85BD, 0xDA17,
+    0x85CC, 0xD9E7,
+    0x85DB, 0xD9B7,
+    0x85EA, 0xD987,
+    0x85FA, 0xD957,
+    0x8609, 0xD927,
+    0x8618, 0xD8F8,
+    0x8627, 0xD8C8,
+    0x8637, 0xD898,
+    0x8646, 0xD868,
+    0x8656, 0xD838,
+    0x8666, 0xD809,
+    0x8675, 0xD7D9,
+    0x8685, 0xD7A9,
+    0x8695, 0xD779,
+    0x86A5, 0xD74A,
+    0x86B5, 0xD71A,
+    0x86C5, 0xD6EA,
+    0x86D5, 0xD6BB,
+    0x86E6, 0xD68B,
+    0x86F6, 0xD65C,
+    0x8706, 0xD62C,
+    0x8717, 0xD5FD,
+    0x8727, 0xD5CD,
+    0x8738, 0xD59E,
+    0x8749, 0xD56E,
+    0x8759, 0xD53F,
+    0x876A, 0xD510,
+    0x877B, 0xD4E0,
+    0x878C, 0xD4B1,
+    0x879D, 0xD482,
+    0x87AE, 0xD452,
+    0x87BF, 0xD423,
+    0x87D1, 0xD3F4,
+    0x87E2, 0xD3C5,
+    0x87F3, 0xD396,
+    0x8805, 0xD367,
+    0x8816, 0xD337,
+    0x8828, 0xD308,
+    0x883A, 0xD2D9,
+    0x884B, 0xD2AA,
+    0x885D, 0xD27B,
+    0x886F, 0xD24C,
+    0x8881, 0xD21D,
+    0x8893, 0xD1EE,
+    0x88A5, 0xD1C0,
+    0x88B8, 0xD191,
+    0x88CA, 0xD162,
+    0x88DC, 0xD133,
+    0x88EF, 0xD104,
+    0x8901, 0xD0D6,
+    0x8914, 0xD0A7,
+    0x8926, 0xD078,
+    0x8939, 0xD04A,
+    0x894C, 0xD01B,
+    0x895F, 0xCFEC,
+    0x8971, 0xCFBE,
+    0x8984, 0xCF8F,
+    0x8997, 0xCF61,
+    0x89AB, 0xCF32,
+    0x89BE, 0xCF04,
+    0x89D1, 0xCED5,
+    0x89E4, 0xCEA7,
+    0x89F8, 0xCE79,
+    0x8A0B, 0xCE4A,
+    0x8A1F, 0xCE1C,
+    0x8A33, 0xCDEE,
+    0x8A46, 0xCDBF,
+    0x8A5A, 0xCD91,
+    0x8A6E, 0xCD63,
+    0x8A82, 0xCD35,
+    0x8A96, 0xCD07,
+    0x8AAA, 0xCCD9,
+    0x8ABE, 0xCCAB,
+    0x8AD2, 0xCC7D,
+    0x8AE6, 0xCC4F,
+    0x8AFB, 0xCC21,
+    0x8B0F, 0xCBF3,
+    0x8B24, 0xCBC5,
+    0x8B38, 0xCB97,
+    0x8B4D, 0xCB69,
+    0x8B61, 0xCB3B,
+    0x8B76, 0xCB0D,
+    0x8B8B, 0xCAE0,
+    0x8BA0, 0xCAB2,
+    0x8BB5, 0xCA84,
+    0x8BCA, 0xCA57,
+    0x8BDF, 0xCA29,
+    0x8BF4, 0xC9FB,
+    0x8C09, 0xC9CE,
+    0x8C1F, 0xC9A0,
+    0x8C34, 0xC973,
+    0x8C4A, 0xC945,
+    0x8C5F, 0xC918,
+    0x8C75, 0xC8EB,
+    0x8C8A, 0xC8BD,
+    0x8CA0, 0xC890,
+    0x8CB6, 0xC863,
+    0x8CCC, 0xC835,
+    0x8CE2, 0xC808,
+    0x8CF8, 0xC7DB,
+    0x8D0E, 0xC7AE,
+    0x8D24, 0xC781,
+    0x8D3A, 0xC754,
+    0x8D50, 0xC727,
+    0x8D67, 0xC6F9,
+    0x8D7D, 0xC6CD,
+    0x8D94, 0xC6A0,
+    0x8DAA, 0xC673,
+    0x8DC1, 0xC646,
+    0x8DD8, 0xC619,
+    0x8DEE, 0xC5EC,
+    0x8E05, 0xC5BF,
+    0x8E1C, 0xC593,
+    0x8E33, 0xC566,
+    0x8E4A, 0xC539,
+    0x8E61, 0xC50D,
+    0x8E79, 0xC4E0,
+    0x8E90, 0xC4B3,
+    0x8EA7, 0xC487,
+    0x8EBE, 0xC45A,
+    0x8ED6, 0xC42E,
+    0x8EED, 0xC402,
+    0x8F05, 0xC3D5,
+    0x8F1D, 0xC3A9,
+    0x8F34, 0xC37C,
+    0x8F4C, 0xC350,
+    0x8F64, 0xC324,
+    0x8F7C, 0xC2F8,
+    0x8F94, 0xC2CC,
+    0x8FAC, 0xC29F,
+    0x8FC4, 0xC273,
+    0x8FDC, 0xC247,
+    0x8FF5, 0xC21B,
+    0x900D, 0xC1EF,
+    0x9025, 0xC1C3,
+    0x903E, 0xC197,
+    0x9056, 0xC16C,
+    0x906F, 0xC140,
+    0x9088, 0xC114,
+    0x90A0, 0xC0E8,
+    0x90B9, 0xC0BC,
+    0x90D2, 0xC091,
+    0x90EB, 0xC065,
+    0x9104, 0xC03A,
+    0x911D, 0xC00E,
+    0x9136, 0xBFE2,
+    0x9150, 0xBFB7,
+    0x9169, 0xBF8C,
+    0x9182, 0xBF60,
+    0x919C, 0xBF35,
+    0x91B5, 0xBF09,
+    0x91CF, 0xBEDE,
+    0x91E8, 0xBEB3,
+    0x9202, 0xBE88,
+    0x921C, 0xBE5D,
+    0x9235, 0xBE31,
+    0x924F, 0xBE06,
+    0x9269, 0xBDDB,
+    0x9283, 0xBDB0,
+    0x929D, 0xBD85,
+    0x92B7, 0xBD5A,
+    0x92D2, 0xBD2F,
+    0x92EC, 0xBD05,
+    0x9306, 0xBCDA,
+    0x9321, 0xBCAF,
+    0x933B, 0xBC84,
+    0x9356, 0xBC5A,
+    0x9370, 0xBC2F,
+    0x938B, 0xBC04,
+    0x93A6, 0xBBDA,
+    0x93C0, 0xBBAF,
+    0x93DB, 0xBB85,
+    0x93F6, 0xBB5A,
+    0x9411, 0xBB30,
+    0x942C, 0xBB05,
+    0x9447, 0xBADB,
+    0x9463, 0xBAB1,
+    0x947E, 0xBA87,
+    0x9499, 0xBA5C,
+    0x94B5, 0xBA32,
+    0x94D0, 0xBA08,
+    0x94EC, 0xB9DE,
+    0x9507, 0xB9B4,
+    0x9523, 0xB98A,
+    0x953E, 0xB960,
+    0x955A, 0xB936,
+    0x9576, 0xB90C,
+    0x9592, 0xB8E3,
+    0x95AE, 0xB8B9,
+    0x95CA, 0xB88F,
+    0x95E6, 0xB865,
+    0x9602, 0xB83C,
+    0x961E, 0xB812,
+    0x963B, 0xB7E9,
+    0x9657, 0xB7BF,
+    0x9673, 0xB796,
+    0x9690, 0xB76C,
+    0x96AC, 0xB743,
+    0x96C9, 0xB719,
+    0x96E6, 0xB6F0,
+    0x9702, 0xB6C7,
+    0x971F, 0xB69E,
+    0x973C, 0xB675,
+    0x9759, 0xB64B,
+    0x9776, 0xB622,
+    0x9793, 0xB5F9,
+    0x97B0, 0xB5D0,
+    0x97CD, 0xB5A7,
+    0x97EA, 0xB57E,
+    0x9808, 0xB556,
+    0x9825, 0xB52D,
+    0x9842, 0xB504,
+    0x9860, 0xB4DB,
+    0x987D, 0xB4B3,
+    0x989B, 0xB48A,
+    0x98B9, 0xB461,
+    0x98D6, 0xB439,
+    0x98F4, 0xB410,
+    0x9912, 0xB3E8,
+    0x9930, 0xB3C0,
+    0x994E, 0xB397,
+    0x996C, 0xB36F,
+    0x998A, 0xB347,
+    0x99A8, 0xB31E,
+    0x99C6, 0xB2F6,
+    0x99E5, 0xB2CE,
+    0x9A03, 0xB2A6,
+    0x9A22, 0xB27E,
+    0x9A40, 0xB256,
+    0x9A5F, 0xB22E,
+    0x9A7D, 0xB206,
+    0x9A9C, 0xB1DE,
+    0x9ABA, 0xB1B7,
+    0x9AD9, 0xB18F,
+    0x9AF8, 0xB167,
+    0x9B17, 0xB140,
+    0x9B36, 0xB118,
+    0x9B55, 0xB0F0,
+    0x9B74, 0xB0C9,
+    0x9B93, 0xB0A1,
+    0x9BB2, 0xB07A,
+    0x9BD2, 0xB053,
+    0x9BF1, 0xB02B,
+    0x9C10, 0xB004,
+    0x9C30, 0xAFDD,
+    0x9C4F, 0xAFB6,
+    0x9C6F, 0xAF8F,
+    0x9C8E, 0xAF68,
+    0x9CAE, 0xAF40,
+    0x9CCE, 0xAF1A,
+    0x9CEE, 0xAEF3,
+    0x9D0D, 0xAECC,
+    0x9D2D, 0xAEA5,
+    0x9D4D, 0xAE7E,
+    0x9D6D, 0xAE57,
+    0x9D8E, 0xAE31,
+    0x9DAE, 0xAE0A,
+    0x9DCE, 0xADE3,
+    0x9DEE, 0xADBD,
+    0x9E0E, 0xAD96,
+    0x9E2F, 0xAD70,
+    0x9E4F, 0xAD4A,
+    0x9E70, 0xAD23,
+    0x9E90, 0xACFD,
+    0x9EB1, 0xACD7,
+    0x9ED2, 0xACB1,
+    0x9EF2, 0xAC8A,
+    0x9F13, 0xAC64,
+    0x9F34, 0xAC3E,
+    0x9F55, 0xAC18,
+    0x9F76, 0xABF2,
+    0x9F97, 0xABCC,
+    0x9FB8, 0xABA7,
+    0x9FD9, 0xAB81,
+    0x9FFB, 0xAB5B,
+    0xA01C, 0xAB35,
+    0xA03D, 0xAB10,
+    0xA05F, 0xAAEA,
+    0xA080, 0xAAC5,
+    0xA0A1, 0xAA9F,
+    0xA0C3, 0xAA7A,
+    0xA0E5, 0xAA54,
+    0xA106, 0xAA2F,
+    0xA128, 0xAA0A,
+    0xA14A, 0xA9E5,
+    0xA16C, 0xA9BF,
+    0xA18E, 0xA99A,
+    0xA1AF, 0xA975,
+    0xA1D2, 0xA950,
+    0xA1F4, 0xA92B,
+    0xA216, 0xA906,
+    0xA238, 0xA8E2,
+    0xA25A, 0xA8BD,
+    0xA27C, 0xA898,
+    0xA29F, 0xA873,
+    0xA2C1, 0xA84F,
+    0xA2E4, 0xA82A,
+    0xA306, 0xA806,
+    0xA329, 0xA7E1,
+    0xA34B, 0xA7BD,
+    0xA36E, 0xA798,
+    0xA391, 0xA774,
+    0xA3B4, 0xA750,
+    0xA3D6, 0xA72B,
+    0xA3F9, 0xA707,
+    0xA41C, 0xA6E3,
+    0xA43F, 0xA6BF,
+    0xA462, 0xA69B,
+    0xA486, 0xA677,
+    0xA4A9, 0xA653,
+    0xA4CC, 0xA62F,
+    0xA4EF, 0xA60C,
+    0xA513, 0xA5E8,
+    0xA536, 0xA5C4,
+    0xA55A, 0xA5A1,
+    0xA57D, 0xA57D,
+    0xA5A1, 0xA55A,
+    0xA5C4, 0xA536,
+    0xA5E8, 0xA513,
+    0xA60C, 0xA4EF,
+    0xA62F, 0xA4CC,
+    0xA653, 0xA4A9,
+    0xA677, 0xA486,
+    0xA69B, 0xA462,
+    0xA6BF, 0xA43F,
+    0xA6E3, 0xA41C,
+    0xA707, 0xA3F9,
+    0xA72B, 0xA3D6,
+    0xA750, 0xA3B4,
+    0xA774, 0xA391,
+    0xA798, 0xA36E,
+    0xA7BD, 0xA34B,
+    0xA7E1, 0xA329,
+    0xA806, 0xA306,
+    0xA82A, 0xA2E4,
+    0xA84F, 0xA2C1,
+    0xA873, 0xA29F,
+    0xA898, 0xA27C,
+    0xA8BD, 0xA25A,
+    0xA8E2, 0xA238,
+    0xA906, 0xA216,
+    0xA92B, 0xA1F4,
+    0xA950, 0xA1D2,
+    0xA975, 0xA1AF,
+    0xA99A, 0xA18E,
+    0xA9BF, 0xA16C,
+    0xA9E5, 0xA14A,
+    0xAA0A, 0xA128,
+    0xAA2F, 0xA106,
+    0xAA54, 0xA0E5,
+    0xAA7A, 0xA0C3,
+    0xAA9F, 0xA0A1,
+    0xAAC5, 0xA080,
+    0xAAEA, 0xA05F,
+    0xAB10, 0xA03D,
+    0xAB35, 0xA01C,
+    0xAB5B, 0x9FFB,
+    0xAB81, 0x9FD9,
+    0xABA7, 0x9FB8,
+    0xABCC, 0x9F97,
+    0xABF2, 0x9F76,
+    0xAC18, 0x9F55,
+    0xAC3E, 0x9F34,
+    0xAC64, 0x9F13,
+    0xAC8A, 0x9EF2,
+    0xACB1, 0x9ED2,
+    0xACD7, 0x9EB1,
+    0xACFD, 0x9E90,
+    0xAD23, 0x9E70,
+    0xAD4A, 0x9E4F,
+    0xAD70, 0x9E2F,
+    0xAD96, 0x9E0E,
+    0xADBD, 0x9DEE,
+    0xADE3, 0x9DCE,
+    0xAE0A, 0x9DAE,
+    0xAE31, 0x9D8E,
+    0xAE57, 0x9D6D,
+    0xAE7E, 0x9D4D,
+    0xAEA5, 0x9D2D,
+    0xAECC, 0x9D0D,
+    0xAEF3, 0x9CEE,
+    0xAF1A, 0x9CCE,
+    0xAF40, 0x9CAE,
+    0xAF68, 0x9C8E,
+    0xAF8F, 0x9C6F,
+    0xAFB6, 0x9C4F,
+    0xAFDD, 0x9C30,
+    0xB004, 0x9C10,
+    0xB02B, 0x9BF1,
+    0xB053, 0x9BD2,
+    0xB07A, 0x9BB2,
+    0xB0A1, 0x9B93,
+    0xB0C9, 0x9B74,
+    0xB0F0, 0x9B55,
+    0xB118, 0x9B36,
+    0xB140, 0x9B17,
+    0xB167, 0x9AF8,
+    0xB18F, 0x9AD9,
+    0xB1B7, 0x9ABA,
+    0xB1DE, 0x9A9C,
+    0xB206, 0x9A7D,
+    0xB22E, 0x9A5F,
+    0xB256, 0x9A40,
+    0xB27E, 0x9A22,
+    0xB2A6, 0x9A03,
+    0xB2CE, 0x99E5,
+    0xB2F6, 0x99C6,
+    0xB31E, 0x99A8,
+    0xB347, 0x998A,
+    0xB36F, 0x996C,
+    0xB397, 0x994E,
+    0xB3C0, 0x9930,
+    0xB3E8, 0x9912,
+    0xB410, 0x98F4,
+    0xB439, 0x98D6,
+    0xB461, 0x98B9,
+    0xB48A, 0x989B,
+    0xB4B3, 0x987D,
+    0xB4DB, 0x9860,
+    0xB504, 0x9842,
+    0xB52D, 0x9825,
+    0xB556, 0x9808,
+    0xB57E, 0x97EA,
+    0xB5A7, 0x97CD,
+    0xB5D0, 0x97B0,
+    0xB5F9, 0x9793,
+    0xB622, 0x9776,
+    0xB64B, 0x9759,
+    0xB675, 0x973C,
+    0xB69E, 0x971F,
+    0xB6C7, 0x9702,
+    0xB6F0, 0x96E6,
+    0xB719, 0x96C9,
+    0xB743, 0x96AC,
+    0xB76C, 0x9690,
+    0xB796, 0x9673,
+    0xB7BF, 0x9657,
+    0xB7E9, 0x963B,
+    0xB812, 0x961E,
+    0xB83C, 0x9602,
+    0xB865, 0x95E6,
+    0xB88F, 0x95CA,
+    0xB8B9, 0x95AE,
+    0xB8E3, 0x9592,
+    0xB90C, 0x9576,
+    0xB936, 0x955A,
+    0xB960, 0x953E,
+    0xB98A, 0x9523,
+    0xB9B4, 0x9507,
+    0xB9DE, 0x94EC,
+    0xBA08, 0x94D0,
+    0xBA32, 0x94B5,
+    0xBA5C, 0x9499,
+    0xBA87, 0x947E,
+    0xBAB1, 0x9463,
+    0xBADB, 0x9447,
+    0xBB05, 0x942C,
+    0xBB30, 0x9411,
+    0xBB5A, 0x93F6,
+    0xBB85, 0x93DB,
+    0xBBAF, 0x93C0,
+    0xBBDA, 0x93A6,
+    0xBC04, 0x938B,
+    0xBC2F, 0x9370,
+    0xBC5A, 0x9356,
+    0xBC84, 0x933B,
+    0xBCAF, 0x9321,
+    0xBCDA, 0x9306,
+    0xBD05, 0x92EC,
+    0xBD2F, 0x92D2,
+    0xBD5A, 0x92B7,
+    0xBD85, 0x929D,
+    0xBDB0, 0x9283,
+    0xBDDB, 0x9269,
+    0xBE06, 0x924F,
+    0xBE31, 0x9235,
+    0xBE5D, 0x921C,
+    0xBE88, 0x9202,
+    0xBEB3, 0x91E8,
+    0xBEDE, 0x91CF,
+    0xBF09, 0x91B5,
+    0xBF35, 0x919C,
+    0xBF60, 0x9182,
+    0xBF8C, 0x9169,
+    0xBFB7, 0x9150,
+    0xBFE2, 0x9136,
+    0xC00E, 0x911D,
+    0xC03A, 0x9104,
+    0xC065, 0x90EB,
+    0xC091, 0x90D2,
+    0xC0BC, 0x90B9,
+    0xC0E8, 0x90A0,
+    0xC114, 0x9088,
+    0xC140, 0x906F,
+    0xC16C, 0x9056,
+    0xC197, 0x903E,
+    0xC1C3, 0x9025,
+    0xC1EF, 0x900D,
+    0xC21B, 0x8FF5,
+    0xC247, 0x8FDC,
+    0xC273, 0x8FC4,
+    0xC29F, 0x8FAC,
+    0xC2CC, 0x8F94,
+    0xC2F8, 0x8F7C,
+    0xC324, 0x8F64,
+    0xC350, 0x8F4C,
+    0xC37C, 0x8F34,
+    0xC3A9, 0x8F1D,
+    0xC3D5, 0x8F05,
+    0xC402, 0x8EED,
+    0xC42E, 0x8ED6,
+    0xC45A, 0x8EBE,
+    0xC487, 0x8EA7,
+    0xC4B3, 0x8E90,
+    0xC4E0, 0x8E79,
+    0xC50D, 0x8E61,
+    0xC539, 0x8E4A,
+    0xC566, 0x8E33,
+    0xC593, 0x8E1C,
+    0xC5BF, 0x8E05,
+    0xC5EC, 0x8DEE,
+    0xC619, 0x8DD8,
+    0xC646, 0x8DC1,
+    0xC673, 0x8DAA,
+    0xC6A0, 0x8D94,
+    0xC6CD, 0x8D7D,
+    0xC6F9, 0x8D67,
+    0xC727, 0x8D50,
+    0xC754, 0x8D3A,
+    0xC781, 0x8D24,
+    0xC7AE, 0x8D0E,
+    0xC7DB, 0x8CF8,
+    0xC808, 0x8CE2,
+    0xC835, 0x8CCC,
+    0xC863, 0x8CB6,
+    0xC890, 0x8CA0,
+    0xC8BD, 0x8C8A,
+    0xC8EB, 0x8C75,
+    0xC918, 0x8C5F,
+    0xC945, 0x8C4A,
+    0xC973, 0x8C34,
+    0xC9A0, 0x8C1F,
+    0xC9CE, 0x8C09,
+    0xC9FB, 0x8BF4,
+    0xCA29, 0x8BDF,
+    0xCA57, 0x8BCA,
+    0xCA84, 0x8BB5,
+    0xCAB2, 0x8BA0,
+    0xCAE0, 0x8B8B,
+    0xCB0D, 0x8B76,
+    0xCB3B, 0x8B61,
+    0xCB69, 0x8B4D,
+    0xCB97, 0x8B38,
+    0xCBC5, 0x8B24,
+    0xCBF3, 0x8B0F,
+    0xCC21, 0x8AFB,
+    0xCC4F, 0x8AE6,
+    0xCC7D, 0x8AD2,
+    0xCCAB, 0x8ABE,
+    0xCCD9, 0x8AAA,
+    0xCD07, 0x8A96,
+    0xCD35, 0x8A82,
+    0xCD63, 0x8A6E,
+    0xCD91, 0x8A5A,
+    0xCDBF, 0x8A46,
+    0xCDEE, 0x8A33,
+    0xCE1C, 0x8A1F,
+    0xCE4A, 0x8A0B,
+    0xCE79, 0x89F8,
+    0xCEA7, 0x89E4,
+    0xCED5, 0x89D1,
+    0xCF04, 0x89BE,
+    0xCF32, 0x89AB,
+    0xCF61, 0x8997,
+    0xCF8F, 0x8984,
+    0xCFBE, 0x8971,
+    0xCFEC, 0x895F,
+    0xD01B, 0x894C,
+    0xD04A, 0x8939,
+    0xD078, 0x8926,
+    0xD0A7, 0x8914,
+    0xD0D6, 0x8901,
+    0xD104, 0x88EF,
+    0xD133, 0x88DC,
+    0xD162, 0x88CA,
+    0xD191, 0x88B8,
+    0xD1C0, 0x88A5,
+    0xD1EE, 0x8893,
+    0xD21D, 0x8881,
+    0xD24C, 0x886F,
+    0xD27B, 0x885D,
+    0xD2AA, 0x884B,
+    0xD2D9, 0x883A,
+    0xD308, 0x8828,
+    0xD337, 0x8816,
+    0xD367, 0x8805,
+    0xD396, 0x87F3,
+    0xD3C5, 0x87E2,
+    0xD3F4, 0x87D1,
+    0xD423, 0x87BF,
+    0xD452, 0x87AE,
+    0xD482, 0x879D,
+    0xD4B1, 0x878C,
+    0xD4E0, 0x877B,
+    0xD510, 0x876A,
+    0xD53F, 0x8759,
+    0xD56E, 0x8749,
+    0xD59E, 0x8738,
+    0xD5CD, 0x8727,
+    0xD5FD, 0x8717,
+    0xD62C, 0x8706,
+    0xD65C, 0x86F6,
+    0xD68B, 0x86E6,
+    0xD6BB, 0x86D5,
+    0xD6EA, 0x86C5,
+    0xD71A, 0x86B5,
+    0xD74A, 0x86A5,
+    0xD779, 0x8695,
+    0xD7A9, 0x8685,
+    0xD7D9, 0x8675,
+    0xD809, 0x8666,
+    0xD838, 0x8656,
+    0xD868, 0x8646,
+    0xD898, 0x8637,
+    0xD8C8, 0x8627,
+    0xD8F8, 0x8618,
+    0xD927, 0x8609,
+    0xD957, 0x85FA,
+    0xD987, 0x85EA,
+    0xD9B7, 0x85DB,
+    0xD9E7, 0x85CC,
+    0xDA17, 0x85BD,
+    0xDA47, 0x85AF,
+    0xDA77, 0x85A0,
+    0xDAA7, 0x8591,
+    0xDAD7, 0x8582,
+    0xDB08, 0x8574,
+    0xDB38, 0x8565,
+    0xDB68, 0x8557,
+    0xDB98, 0x8549,
+    0xDBC8, 0x853A,
+    0xDBF8, 0x852C,
+    0xDC29, 0x851E,
+    0xDC59, 0x8510,
+    0xDC89, 0x8502,
+    0xDCBA, 0x84F4,
+    0xDCEA, 0x84E6,
+    0xDD1A, 0x84D9,
+    0xDD4B, 0x84CB,
+    0xDD7B, 0x84BD,
+    0xDDAB, 0x84B0,
+    0xDDDC, 0x84A2,
+    0xDE0C, 0x8495,
+    0xDE3D, 0x8488,
+    0xDE6D, 0x847B,
+    0xDE9E, 0x846D,
+    0xDECE, 0x8460,
+    0xDEFF, 0x8453,
+    0xDF2F, 0x8446,
+    0xDF60, 0x843A,
+    0xDF91, 0x842D,
+    0xDFC1, 0x8420,
+    0xDFF2, 0x8414,
+    0xE023, 0x8407,
+    0xE053, 0x83FA,
+    0xE084, 0x83EE,
+    0xE0B5, 0x83E2,
+    0xE0E6, 0x83D6,
+    0xE116, 0x83C9,
+    0xE147, 0x83BD,
+    0xE178, 0x83B1,
+    0xE1A9, 0x83A5,
+    0xE1DA, 0x8399,
+    0xE20A, 0x838E,
+    0xE23B, 0x8382,
+    0xE26C, 0x8376,
+    0xE29D, 0x836B,
+    0xE2CE, 0x835F,
+    0xE2FF, 0x8354,
+    0xE330, 0x8348,
+    0xE361, 0x833D,
+    0xE392, 0x8332,
+    0xE3C3, 0x8327,
+    0xE3F4, 0x831C,
+    0xE425, 0x8311,
+    0xE456, 0x8306,
+    0xE487, 0x82FB,
+    0xE4B8, 0x82F0,
+    0xE4E9, 0x82E6,
+    0xE51B, 0x82DB,
+    0xE54C, 0x82D0,
+    0xE57D, 0x82C6,
+    0xE5AE, 0x82BC,
+    0xE5DF, 0x82B1,
+    0xE610, 0x82A7,
+    0xE642, 0x829D,
+    0xE673, 0x8293,
+    0xE6A4, 0x8289,
+    0xE6D5, 0x827F,
+    0xE707, 0x8275,
+    0xE738, 0x826B,
+    0xE769, 0x8262,
+    0xE79B, 0x8258,
+    0xE7CC, 0x824F,
+    0xE7FD, 0x8245,
+    0xE82F, 0x823C,
+    0xE860, 0x8232,
+    0xE892, 0x8229,
+    0xE8C3, 0x8220,
+    0xE8F5, 0x8217,
+    0xE926, 0x820E,
+    0xE957, 0x8205,
+    0xE989, 0x81FC,
+    0xE9BA, 0x81F3,
+    0xE9EC, 0x81EB,
+    0xEA1D, 0x81E2,
+    0xEA4F, 0x81D9,
+    0xEA80, 0x81D1,
+    0xEAB2, 0x81C8,
+    0xEAE4, 0x81C0,
+    0xEB15, 0x81B8,
+    0xEB47, 0x81B0,
+    0xEB78, 0x81A8,
+    0xEBAA, 0x81A0,
+    0xEBDC, 0x8198,
+    0xEC0D, 0x8190,
+    0xEC3F, 0x8188,
+    0xEC71, 0x8180,
+    0xECA2, 0x8179,
+    0xECD4, 0x8171,
+    0xED06, 0x816A,
+    0xED37, 0x8162,
+    0xED69, 0x815B,
+    0xED9B, 0x8154,
+    0xEDCD, 0x814C,
+    0xEDFE, 0x8145,
+    0xEE30, 0x813E,
+    0xEE62, 0x8137,
+    0xEE94, 0x8130,
+    0xEEC6, 0x812A,
+    0xEEF7, 0x8123,
+    0xEF29, 0x811C,
+    0xEF5B, 0x8116,
+    0xEF8D, 0x810F,
+    0xEFBF, 0x8109,
+    0xEFF1, 0x8102,
+    0xF022, 0x80FC,
+    0xF054, 0x80F6,
+    0xF086, 0x80F0,
+    0xF0B8, 0x80EA,
+    0xF0EA, 0x80E4,
+    0xF11C, 0x80DE,
+    0xF14E, 0x80D8,
+    0xF180, 0x80D2,
+    0xF1B2, 0x80CD,
+    0xF1E4, 0x80C7,
+    0xF216, 0x80C2,
+    0xF248, 0x80BC,
+    0xF27A, 0x80B7,
+    0xF2AC, 0x80B2,
+    0xF2DE, 0x80AC,
+    0xF310, 0x80A7,
+    0xF342, 0x80A2,
+    0xF374, 0x809D,
+    0xF3A6, 0x8098,
+    0xF3D8, 0x8094,
+    0xF40A, 0x808F,
+    0xF43C, 0x808A,
+    0xF46E, 0x8086,
+    0xF4A0, 0x8081,
+    0xF4D2, 0x807D,
+    0xF504, 0x8078,
+    0xF536, 0x8074,
+    0xF568, 0x8070,
+    0xF59A, 0x806C,
+    0xF5CC, 0x8068,
+    0xF5FF, 0x8064,
+    0xF631, 0x8060,
+    0xF663, 0x805C,
+    0xF695, 0x8058,
+    0xF6C7, 0x8055,
+    0xF6F9, 0x8051,
+    0xF72B, 0x804E,
+    0xF75D, 0x804A,
+    0xF790, 0x8047,
+    0xF7C2, 0x8043,
+    0xF7F4, 0x8040,
+    0xF826, 0x803D,
+    0xF858, 0x803A,
+    0xF88A, 0x8037,
+    0xF8BD, 0x8034,
+    0xF8EF, 0x8031,
+    0xF921, 0x802F,
+    0xF953, 0x802C,
+    0xF985, 0x8029,
+    0xF9B8, 0x8027,
+    0xF9EA, 0x8025,
+    0xFA1C, 0x8022,
+    0xFA4E, 0x8020,
+    0xFA80, 0x801E,
+    0xFAB3, 0x801C,
+    0xFAE5, 0x801A,
+    0xFB17, 0x8018,
+    0xFB49, 0x8016,
+    0xFB7C, 0x8014,
+    0xFBAE, 0x8012,
+    0xFBE0, 0x8011,
+    0xFC12, 0x800F,
+    0xFC45, 0x800D,
+    0xFC77, 0x800C,
+    0xFCA9, 0x800B,
+    0xFCDB, 0x8009,
+    0xFD0E, 0x8008,
+    0xFD40, 0x8007,
+    0xFD72, 0x8006,
+    0xFDA4, 0x8005,
+    0xFDD7, 0x8004,
+    0xFE09, 0x8003,
+    0xFE3B, 0x8003,
+    0xFE6D, 0x8002,
+    0xFEA0, 0x8001,
+    0xFED2, 0x8001,
+    0xFF04, 0x8000,
+    0xFF36, 0x8000,
+    0xFF69, 0x8000,
+    0xFF9B, 0x8000,
+    0xFFCD, 0x8000
+};
+
 
 /**    
 * @} end of CFFT_CIFFT group    
@@ -11952,6 +22206,659 @@
 };
 
 
+const uint16_t armBitRevIndexTable_fixed_16[ARMBITREVINDEXTABLE_FIXED___16_TABLE_LENGTH] = 
+{
+   //radix 4, size 12
+   8,64, 16,32, 24,96, 40,80, 56,112, 88,104
+};
+
+const uint16_t armBitRevIndexTable_fixed_32[ARMBITREVINDEXTABLE_FIXED___32_TABLE_LENGTH] = 
+{
+   //4x2, size 24
+   8,128, 16,64, 24,192, 40,160, 48,96, 56,224, 72,144,
+   88,208, 104,176, 120,240, 152,200, 184,232
+};
+
+const uint16_t armBitRevIndexTable_fixed_64[ARMBITREVINDEXTABLE_FIXED___64_TABLE_LENGTH] = 
+{   
+   //radix 4, size 56
+   8,256, 16,128, 24,384, 32,64, 40,320, 48,192, 56,448, 72,288, 80,160, 88,416, 104,352,
+   112,224, 120,480, 136,272, 152,400, 168,336, 176,208, 184,464, 200,304, 216,432,
+   232,368, 248,496, 280,392, 296,328, 312,456, 344,424, 376,488, 440,472
+};
+
+const uint16_t armBitRevIndexTable_fixed_128[ARMBITREVINDEXTABLE_FIXED__128_TABLE_LENGTH] = 
+{
+   //4x2, size 112
+   8,512, 16,256, 24,768, 32,128, 40,640, 48,384, 56,896, 72,576, 80,320, 88,832, 96,192,
+   104,704, 112,448, 120,960, 136,544, 144,288, 152,800, 168,672, 176,416, 184,928, 200,608,
+   208,352, 216,864, 232,736, 240,480, 248,992, 264,528, 280,784, 296,656, 304,400, 312,912,
+   328,592, 344,848, 360,720, 368,464, 376,976, 392,560, 408,816, 424,688, 440,944, 456,624,
+   472,880, 488,752, 504,1008, 536,776, 552,648, 568,904, 600,840, 616,712, 632,968,
+   664,808, 696,936, 728,872, 760,1000, 824,920, 888,984
+};
+
+const uint16_t armBitRevIndexTable_fixed_256[ARMBITREVINDEXTABLE_FIXED__256_TABLE_LENGTH] = 
+{
+   //radix 4, size 240
+   8,1024, 16,512, 24,1536, 32,256, 40,1280, 48,768, 56,1792, 64,128, 72,1152, 80,640,
+   88,1664, 96,384, 104,1408, 112,896, 120,1920, 136,1088, 144,576, 152,1600, 160,320,
+   168,1344, 176,832, 184,1856, 200,1216, 208,704, 216,1728, 224,448, 232,1472, 240,960,
+   248,1984, 264,1056, 272,544, 280,1568, 296,1312, 304,800, 312,1824, 328,1184, 336,672,
+   344,1696, 352,416, 360,1440, 368,928, 376,1952, 392,1120, 400,608, 408,1632, 424,1376,
+   432,864, 440,1888, 456,1248, 464,736, 472,1760, 488,1504, 496,992, 504,2016, 520,1040,
+   536,1552, 552,1296, 560,784, 568,1808, 584,1168, 592,656, 600,1680, 616,1424, 624,912,
+   632,1936, 648,1104, 664,1616, 680,1360, 688,848, 696,1872, 712,1232, 728,1744, 744,1488,
+   752,976, 760,2000, 776,1072, 792,1584, 808,1328, 824,1840, 840,1200, 856,1712, 872,1456,
+   880,944, 888,1968, 904,1136, 920,1648, 936,1392, 952,1904, 968,1264, 984,1776, 1000,1520,
+   1016,2032, 1048,1544, 1064,1288, 1080,1800, 1096,1160, 1112,1672, 1128,1416, 1144,1928,
+   1176,1608, 1192,1352, 1208,1864, 1240,1736, 1256,1480, 1272,1992, 1304,1576, 1336,1832,
+   1368,1704, 1384,1448, 1400,1960, 1432,1640, 1464,1896, 1496,1768, 1528,2024, 1592,1816,
+   1624,1688, 1656,1944, 1720,1880, 1784,2008, 1912,1976
+};
+
+const uint16_t armBitRevIndexTable_fixed_512[ARMBITREVINDEXTABLE_FIXED__512_TABLE_LENGTH] = 
+{
+   //4x2, size 480
+   8,2048, 16,1024, 24,3072, 32,512, 40,2560, 48,1536, 56,3584, 64,256, 72,2304, 80,1280,
+   88,3328, 96,768, 104,2816, 112,1792, 120,3840, 136,2176, 144,1152, 152,3200, 160,640,
+   168,2688, 176,1664, 184,3712, 192,384, 200,2432, 208,1408, 216,3456, 224,896, 232,2944,
+   240,1920, 248,3968, 264,2112, 272,1088, 280,3136, 288,576, 296,2624, 304,1600, 312,3648,
+   328,2368, 336,1344, 344,3392, 352,832, 360,2880, 368,1856, 376,3904, 392,2240, 400,1216,
+   408,3264, 416,704, 424,2752, 432,1728, 440,3776, 456,2496, 464,1472, 472,3520, 480,960,
+   488,3008, 496,1984, 504,4032, 520,2080, 528,1056, 536,3104, 552,2592, 560,1568, 568,3616,
+   584,2336, 592,1312, 600,3360, 608,800, 616,2848, 624,1824, 632,3872, 648,2208, 656,1184,
+   664,3232, 680,2720, 688,1696, 696,3744, 712,2464, 720,1440, 728,3488, 736,928, 744,2976,
+   752,1952, 760,4000, 776,2144, 784,1120, 792,3168, 808,2656, 816,1632, 824,3680, 840,2400,
+   848,1376, 856,3424, 872,2912, 880,1888, 888,3936, 904,2272, 912,1248, 920,3296, 936,2784,
+   944,1760, 952,3808, 968,2528, 976,1504, 984,3552, 1000,3040, 1008,2016, 1016,4064,
+   1032,2064, 1048,3088, 1064,2576, 1072,1552, 1080,3600, 1096,2320, 1104,1296, 1112,3344,
+   1128,2832, 1136,1808, 1144,3856, 1160,2192, 1176,3216, 1192,2704, 1200,1680, 1208,3728,
+   1224,2448, 1232,1424, 1240,3472, 1256,2960, 1264,1936, 1272,3984, 1288,2128, 1304,3152,
+   1320,2640, 1328,1616, 1336,3664, 1352,2384, 1368,3408, 1384,2896, 1392,1872, 1400,3920,
+   1416,2256, 1432,3280, 1448,2768, 1456,1744, 1464,3792, 1480,2512, 1496,3536, 1512,3024,
+   1520,2000, 1528,4048, 1544,2096, 1560,3120, 1576,2608, 1592,3632, 1608,2352, 1624,3376,
+   1640,2864, 1648,1840, 1656,3888, 1672,2224, 1688,3248, 1704,2736, 1720,3760, 1736,2480,
+   1752,3504, 1768,2992, 1776,1968, 1784,4016, 1800,2160, 1816,3184, 1832,2672, 1848,3696,
+   1864,2416, 1880,3440, 1896,2928, 1912,3952, 1928,2288, 1944,3312, 1960,2800, 1976,3824,
+   1992,2544, 2008,3568, 2024,3056, 2040,4080, 2072,3080, 2088,2568, 2104,3592, 2120,2312,
+   2136,3336, 2152,2824, 2168,3848, 2200,3208, 2216,2696, 2232,3720, 2248,2440, 2264,3464,
+   2280,2952, 2296,3976, 2328,3144, 2344,2632, 2360,3656, 2392,3400, 2408,2888, 2424,3912,
+   2456,3272, 2472,2760, 2488,3784, 2520,3528, 2536,3016, 2552,4040, 2584,3112, 2616,3624,
+   2648,3368, 2664,2856, 2680,3880, 2712,3240, 2744,3752, 2776,3496, 2792,2984, 2808,4008,
+   2840,3176, 2872,3688, 2904,3432, 2936,3944, 2968,3304, 3000,3816, 3032,3560, 3064,4072,
+   3128,3608, 3160,3352, 3192,3864, 3256,3736, 3288,3480, 3320,3992, 3384,3672, 3448,3928,
+   3512,3800, 3576,4056, 3704,3896, 3832,4024
+};
+
+const uint16_t armBitRevIndexTable_fixed_1024[ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH] = 
+{
+    //radix 4, size 992
+    8,4096, 16,2048, 24,6144, 32,1024, 40,5120, 48,3072, 56,7168, 64,512, 72,4608, 
+    80,2560, 88,6656, 96,1536, 104,5632, 112,3584, 120,7680, 128,256, 136,4352, 
+    144,2304, 152,6400, 160,1280, 168,5376, 176,3328, 184,7424, 192,768, 200,4864, 
+    208,2816, 216,6912, 224,1792, 232,5888, 240,3840, 248,7936, 264,4224, 272,2176, 
+    280,6272, 288,1152, 296,5248, 304,3200, 312,7296, 320,640, 328,4736, 336,2688, 
+    344,6784, 352,1664, 360,5760, 368,3712, 376,7808, 392,4480, 400,2432, 408,6528, 
+    416,1408, 424,5504, 432,3456, 440,7552, 448,896, 456,4992, 464,2944, 472,7040, 
+    480,1920, 488,6016, 496,3968, 504,8064, 520,4160, 528,2112, 536,6208, 544,1088, 
+    552,5184, 560,3136, 568,7232, 584,4672, 592,2624, 600,6720, 608,1600, 616,5696, 
+    624,3648, 632,7744, 648,4416, 656,2368, 664,6464, 672,1344, 680,5440, 688,3392, 
+    696,7488, 704,832, 712,4928, 720,2880, 728,6976, 736,1856, 744,5952, 752,3904, 
+    760,8000, 776,4288, 784,2240, 792,6336, 800,1216, 808,5312, 816,3264, 824,7360, 
+    840,4800, 848,2752, 856,6848, 864,1728, 872,5824, 880,3776, 888,7872, 904,4544, 
+    912,2496, 920,6592, 928,1472, 936,5568, 944,3520, 952,7616, 968,5056, 976,3008, 
+    984,7104, 992,1984, 1000,6080, 1008,4032, 1016,8128, 1032,4128, 1040,2080, 
+    1048,6176, 1064,5152, 1072,3104, 1080,7200, 1096,4640, 1104,2592, 1112,6688, 
+    1120,1568, 1128,5664, 1136,3616, 1144,7712, 1160,4384, 1168,2336, 1176,6432, 
+    1184,1312, 1192,5408, 1200,3360, 1208,7456, 1224,4896, 1232,2848, 1240,6944, 
+    1248,1824, 1256,5920, 1264,3872, 1272,7968, 1288,4256, 1296,2208, 1304,6304, 
+    1320,5280, 1328,3232, 1336,7328, 1352,4768, 1360,2720, 1368,6816, 1376,1696, 
+    1384,5792, 1392,3744, 1400,7840, 1416,4512, 1424,2464, 1432,6560, 1448,5536, 
+    1456,3488, 1464,7584, 1480,5024, 1488,2976, 1496,7072, 1504,1952, 1512,6048, 
+    1520,4000, 1528,8096, 1544,4192, 1552,2144, 1560,6240, 1576,5216, 1584,3168, 
+    1592,7264, 1608,4704, 1616,2656, 1624,6752, 1640,5728, 1648,3680, 1656,7776, 
+    1672,4448, 1680,2400, 1688,6496, 1704,5472, 1712,3424, 1720,7520, 1736,4960, 
+    1744,2912, 1752,7008, 1760,1888, 1768,5984, 1776,3936, 1784,8032, 1800,4320, 
+    1808,2272, 1816,6368, 1832,5344, 1840,3296, 1848,7392, 1864,4832, 1872,2784, 
+    1880,6880, 1896,5856, 1904,3808, 1912,7904, 1928,4576, 1936,2528, 1944,6624, 
+    1960,5600, 1968,3552, 1976,7648, 1992,5088, 2000,3040, 2008,7136, 2024,6112, 
+    2032,4064, 2040,8160, 2056,4112, 2072,6160, 2088,5136, 2096,3088, 2104,7184, 
+    2120,4624, 2128,2576, 2136,6672, 2152,5648, 2160,3600, 2168,7696, 2184,4368, 
+    2192,2320, 2200,6416, 2216,5392, 2224,3344, 2232,7440, 2248,4880, 2256,2832, 
+    2264,6928, 2280,5904, 2288,3856, 2296,7952, 2312,4240, 2328,6288, 2344,5264, 
+    2352,3216, 2360,7312, 2376,4752, 2384,2704, 2392,6800, 2408,5776, 2416,3728, 
+    2424,7824, 2440,4496, 2456,6544, 2472,5520, 2480,3472, 2488,7568, 2504,5008, 
+    2512,2960, 2520,7056, 2536,6032, 2544,3984, 2552,8080, 2568,4176, 2584,6224, 
+    2600,5200, 2608,3152, 2616,7248, 2632,4688, 2648,6736, 2664,5712, 2672,3664, 
+    2680,7760, 2696,4432, 2712,6480, 2728,5456, 2736,3408, 2744,7504, 2760,4944, 
+    2768,2896, 2776,6992, 2792,5968, 2800,3920, 2808,8016, 2824,4304, 2840,6352, 
+    2856,5328, 2864,3280, 2872,7376, 2888,4816, 2904,6864, 2920,5840, 2928,3792, 
+    2936,7888, 2952,4560, 2968,6608, 2984,5584, 2992,3536, 3000,7632, 3016,5072, 
+    3032,7120, 3048,6096, 3056,4048, 3064,8144, 3080,4144, 3096,6192, 3112,5168, 
+    3128,7216, 3144,4656, 3160,6704, 3176,5680, 3184,3632, 3192,7728, 3208,4400, 
+    3224,6448, 3240,5424, 3248,3376, 3256,7472, 3272,4912, 3288,6960, 3304,5936, 
+    3312,3888, 3320,7984, 3336,4272, 3352,6320, 3368,5296, 3384,7344, 3400,4784, 
+    3416,6832, 3432,5808, 3440,3760, 3448,7856, 3464,4528, 3480,6576, 3496,5552, 
+    3512,7600, 3528,5040, 3544,7088, 3560,6064, 3568,4016, 3576,8112, 3592,4208, 
+    3608,6256, 3624,5232, 3640,7280, 3656,4720, 3672,6768, 3688,5744, 3704,7792, 
+    3720,4464, 3736,6512, 3752,5488, 3768,7536, 3784,4976, 3800,7024, 3816,6000, 
+    3824,3952, 3832,8048, 3848,4336, 3864,6384, 3880,5360, 3896,7408, 3912,4848, 
+    3928,6896, 3944,5872, 3960,7920, 3976,4592, 3992,6640, 4008,5616, 4024,7664, 
+    4040,5104, 4056,7152, 4072,6128, 4088,8176, 4120,6152, 4136,5128, 4152,7176, 
+    4168,4616, 4184,6664, 4200,5640, 4216,7688, 4232,4360, 4248,6408, 4264,5384, 
+    4280,7432, 4296,4872, 4312,6920, 4328,5896, 4344,7944, 4376,6280, 4392,5256, 
+    4408,7304, 4424,4744, 4440,6792, 4456,5768, 4472,7816, 4504,6536, 4520,5512, 
+    4536,7560, 4552,5000, 4568,7048, 4584,6024, 4600,8072, 4632,6216, 4648,5192, 
+    4664,7240, 4696,6728, 4712,5704, 4728,7752, 4760,6472, 4776,5448, 4792,7496, 
+    4808,4936, 4824,6984, 4840,5960, 4856,8008, 4888,6344, 4904,5320, 4920,7368, 
+    4952,6856, 4968,5832, 4984,7880, 5016,6600, 5032,5576, 5048,7624, 5080,7112, 
+    5096,6088, 5112,8136, 5144,6184, 5176,7208, 5208,6696, 5224,5672, 5240,7720, 
+    5272,6440, 5288,5416, 5304,7464, 5336,6952, 5352,5928, 5368,7976, 5400,6312, 
+    5432,7336, 5464,6824, 5480,5800, 5496,7848, 5528,6568, 5560,7592, 5592,7080, 
+    5608,6056, 5624,8104, 5656,6248, 5688,7272, 5720,6760, 5752,7784, 5784,6504, 
+    5816,7528, 5848,7016, 5864,5992, 5880,8040, 5912,6376, 5944,7400, 5976,6888, 
+    6008,7912, 6040,6632, 6072,7656, 6104,7144, 6136,8168, 6200,7192, 6232,6680, 
+    6264,7704, 6296,6424, 6328,7448, 6360,6936, 6392,7960, 6456,7320, 6488,6808, 
+    6520,7832, 6584,7576, 6616,7064, 6648,8088, 6712,7256, 6776,7768, 6840,7512, 
+    6872,7000, 6904,8024, 6968,7384, 7032,7896, 7096,7640, 7160,8152, 7288,7736, 
+    7352,7480, 7416,7992, 7544,7864, 7672,8120, 7928,8056 
+};
+
+const uint16_t armBitRevIndexTable_fixed_2048[ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH] = 
+{
+    //4x2, size 1984
+    8,8192, 16,4096, 24,12288, 32,2048, 40,10240, 48,6144, 56,14336, 64,1024, 
+    72,9216, 80,5120, 88,13312, 96,3072, 104,11264, 112,7168, 120,15360, 128,512, 
+    136,8704, 144,4608, 152,12800, 160,2560, 168,10752, 176,6656, 184,14848, 
+    192,1536, 200,9728, 208,5632, 216,13824, 224,3584, 232,11776, 240,7680, 
+    248,15872, 264,8448, 272,4352, 280,12544, 288,2304, 296,10496, 304,6400, 
+    312,14592, 320,1280, 328,9472, 336,5376, 344,13568, 352,3328, 360,11520, 
+    368,7424, 376,15616, 384,768, 392,8960, 400,4864, 408,13056, 416,2816, 
+    424,11008, 432,6912, 440,15104, 448,1792, 456,9984, 464,5888, 472,14080, 
+    480,3840, 488,12032, 496,7936, 504,16128, 520,8320, 528,4224, 536,12416, 
+    544,2176, 552,10368, 560,6272, 568,14464, 576,1152, 584,9344, 592,5248, 
+    600,13440, 608,3200, 616,11392, 624,7296, 632,15488, 648,8832, 656,4736, 
+    664,12928, 672,2688, 680,10880, 688,6784, 696,14976, 704,1664, 712,9856, 
+    720,5760, 728,13952, 736,3712, 744,11904, 752,7808, 760,16000, 776,8576, 
+    784,4480, 792,12672, 800,2432, 808,10624, 816,6528, 824,14720, 832,1408, 
+    840,9600, 848,5504, 856,13696, 864,3456, 872,11648, 880,7552, 888,15744, 
+    904,9088, 912,4992, 920,13184, 928,2944, 936,11136, 944,7040, 952,15232, 
+    960,1920, 968,10112, 976,6016, 984,14208, 992,3968, 1000,12160, 1008,8064, 
+    1016,16256, 1032,8256, 1040,4160, 1048,12352, 1056,2112, 1064,10304, 1072,6208, 
+    1080,14400, 1096,9280, 1104,5184, 1112,13376, 1120,3136, 1128,11328, 1136,7232, 
+    1144,15424, 1160,8768, 1168,4672, 1176,12864, 1184,2624, 1192,10816, 1200,6720, 
+    1208,14912, 1216,1600, 1224,9792, 1232,5696, 1240,13888, 1248,3648, 1256,11840, 
+    1264,7744, 1272,15936, 1288,8512, 1296,4416, 1304,12608, 1312,2368, 1320,10560, 
+    1328,6464, 1336,14656, 1352,9536, 1360,5440, 1368,13632, 1376,3392, 1384,11584, 
+    1392,7488, 1400,15680, 1416,9024, 1424,4928, 1432,13120, 1440,2880, 1448,11072, 
+    1456,6976, 1464,15168, 1472,1856, 1480,10048, 1488,5952, 1496,14144, 1504,3904, 
+    1512,12096, 1520,8000, 1528,16192, 1544,8384, 1552,4288, 1560,12480, 1568,2240, 
+    1576,10432, 1584,6336, 1592,14528, 1608,9408, 1616,5312, 1624,13504, 1632,3264, 
+    1640,11456, 1648,7360, 1656,15552, 1672,8896, 1680,4800, 1688,12992, 1696,2752, 
+    1704,10944, 1712,6848, 1720,15040, 1736,9920, 1744,5824, 1752,14016, 1760,3776, 
+    1768,11968, 1776,7872, 1784,16064, 1800,8640, 1808,4544, 1816,12736, 1824,2496, 
+    1832,10688, 1840,6592, 1848,14784, 1864,9664, 1872,5568, 1880,13760, 1888,3520, 
+    1896,11712, 1904,7616, 1912,15808, 1928,9152, 1936,5056, 1944,13248, 1952,3008, 
+    1960,11200, 1968,7104, 1976,15296, 1992,10176, 2000,6080, 2008,14272, 2016,4032, 
+    2024,12224, 2032,8128, 2040,16320, 2056,8224, 2064,4128, 2072,12320, 2088,10272, 
+    2096,6176, 2104,14368, 2120,9248, 2128,5152, 2136,13344, 2144,3104, 2152,11296, 
+    2160,7200, 2168,15392, 2184,8736, 2192,4640, 2200,12832, 2208,2592, 2216,10784, 
+    2224,6688, 2232,14880, 2248,9760, 2256,5664, 2264,13856, 2272,3616, 2280,11808, 
+    2288,7712, 2296,15904, 2312,8480, 2320,4384, 2328,12576, 2344,10528, 2352,6432, 
+    2360,14624, 2376,9504, 2384,5408, 2392,13600, 2400,3360, 2408,11552, 2416,7456, 
+    2424,15648, 2440,8992, 2448,4896, 2456,13088, 2464,2848, 2472,11040, 2480,6944, 
+    2488,15136, 2504,10016, 2512,5920, 2520,14112, 2528,3872, 2536,12064, 2544,7968, 
+    2552,16160, 2568,8352, 2576,4256, 2584,12448, 2600,10400, 2608,6304, 2616,14496, 
+    2632,9376, 2640,5280, 2648,13472, 2656,3232, 2664,11424, 2672,7328, 2680,15520, 
+    2696,8864, 2704,4768, 2712,12960, 2728,10912, 2736,6816, 2744,15008, 2760,9888, 
+    2768,5792, 2776,13984, 2784,3744, 2792,11936, 2800,7840, 2808,16032, 2824,8608, 
+    2832,4512, 2840,12704, 2856,10656, 2864,6560, 2872,14752, 2888,9632, 2896,5536, 
+    2904,13728, 2912,3488, 2920,11680, 2928,7584, 2936,15776, 2952,9120, 2960,5024, 
+    2968,13216, 2984,11168, 2992,7072, 3000,15264, 3016,10144, 3024,6048, 
+    3032,14240, 3040,4000, 3048,12192, 3056,8096, 3064,16288, 3080,8288, 3088,4192, 
+    3096,12384, 3112,10336, 3120,6240, 3128,14432, 3144,9312, 3152,5216, 3160,13408, 
+    3176,11360, 3184,7264, 3192,15456, 3208,8800, 3216,4704, 3224,12896, 3240,10848, 
+    3248,6752, 3256,14944, 3272,9824, 3280,5728, 3288,13920, 3296,3680, 3304,11872, 
+    3312,7776, 3320,15968, 3336,8544, 3344,4448, 3352,12640, 3368,10592, 3376,6496, 
+    3384,14688, 3400,9568, 3408,5472, 3416,13664, 3432,11616, 3440,7520, 3448,15712, 
+    3464,9056, 3472,4960, 3480,13152, 3496,11104, 3504,7008, 3512,15200, 3528,10080, 
+    3536,5984, 3544,14176, 3552,3936, 3560,12128, 3568,8032, 3576,16224, 3592,8416, 
+    3600,4320, 3608,12512, 3624,10464, 3632,6368, 3640,14560, 3656,9440, 3664,5344, 
+    3672,13536, 3688,11488, 3696,7392, 3704,15584, 3720,8928, 3728,4832, 3736,13024, 
+    3752,10976, 3760,6880, 3768,15072, 3784,9952, 3792,5856, 3800,14048, 3816,12000, 
+    3824,7904, 3832,16096, 3848,8672, 3856,4576, 3864,12768, 3880,10720, 3888,6624, 
+    3896,14816, 3912,9696, 3920,5600, 3928,13792, 3944,11744, 3952,7648, 3960,15840, 
+    3976,9184, 3984,5088, 3992,13280, 4008,11232, 4016,7136, 4024,15328, 4040,10208, 
+    4048,6112, 4056,14304, 4072,12256, 4080,8160, 4088,16352, 4104,8208, 4120,12304, 
+    4136,10256, 4144,6160, 4152,14352, 4168,9232, 4176,5136, 4184,13328, 4200,11280, 
+    4208,7184, 4216,15376, 4232,8720, 4240,4624, 4248,12816, 4264,10768, 4272,6672, 
+    4280,14864, 4296,9744, 4304,5648, 4312,13840, 4328,11792, 4336,7696, 4344,15888, 
+    4360,8464, 4376,12560, 4392,10512, 4400,6416, 4408,14608, 4424,9488, 4432,5392, 
+    4440,13584, 4456,11536, 4464,7440, 4472,15632, 4488,8976, 4496,4880, 4504,13072, 
+    4520,11024, 4528,6928, 4536,15120, 4552,10000, 4560,5904, 4568,14096, 
+    4584,12048, 4592,7952, 4600,16144, 4616,8336, 4632,12432, 4648,10384, 4656,6288, 
+    4664,14480, 4680,9360, 4688,5264, 4696,13456, 4712,11408, 4720,7312, 4728,15504, 
+    4744,8848, 4760,12944, 4776,10896, 4784,6800, 4792,14992, 4808,9872, 4816,5776, 
+    4824,13968, 4840,11920, 4848,7824, 4856,16016, 4872,8592, 4888,12688, 
+    4904,10640, 4912,6544, 4920,14736, 4936,9616, 4944,5520, 4952,13712, 4968,11664, 
+    4976,7568, 4984,15760, 5000,9104, 5016,13200, 5032,11152, 5040,7056, 5048,15248, 
+    5064,10128, 5072,6032, 5080,14224, 5096,12176, 5104,8080, 5112,16272, 5128,8272, 
+    5144,12368, 5160,10320, 5168,6224, 5176,14416, 5192,9296, 5208,13392, 
+    5224,11344, 5232,7248, 5240,15440, 5256,8784, 5272,12880, 5288,10832, 5296,6736, 
+    5304,14928, 5320,9808, 5328,5712, 5336,13904, 5352,11856, 5360,7760, 5368,15952, 
+    5384,8528, 5400,12624, 5416,10576, 5424,6480, 5432,14672, 5448,9552, 5464,13648, 
+    5480,11600, 5488,7504, 5496,15696, 5512,9040, 5528,13136, 5544,11088, 5552,6992, 
+    5560,15184, 5576,10064, 5584,5968, 5592,14160, 5608,12112, 5616,8016, 
+    5624,16208, 5640,8400, 5656,12496, 5672,10448, 5680,6352, 5688,14544, 5704,9424, 
+    5720,13520, 5736,11472, 5744,7376, 5752,15568, 5768,8912, 5784,13008, 
+    5800,10960, 5808,6864, 5816,15056, 5832,9936, 5848,14032, 5864,11984, 5872,7888, 
+    5880,16080, 5896,8656, 5912,12752, 5928,10704, 5936,6608, 5944,14800, 5960,9680, 
+    5976,13776, 5992,11728, 6000,7632, 6008,15824, 6024,9168, 6040,13264, 
+    6056,11216, 6064,7120, 6072,15312, 6088,10192, 6104,14288, 6120,12240, 
+    6128,8144, 6136,16336, 6152,8240, 6168,12336, 6184,10288, 6200,14384, 6216,9264, 
+    6232,13360, 6248,11312, 6256,7216, 6264,15408, 6280,8752, 6296,12848, 
+    6312,10800, 6320,6704, 6328,14896, 6344,9776, 6360,13872, 6376,11824, 6384,7728, 
+    6392,15920, 6408,8496, 6424,12592, 6440,10544, 6456,14640, 6472,9520, 
+    6488,13616, 6504,11568, 6512,7472, 6520,15664, 6536,9008, 6552,13104, 
+    6568,11056, 6576,6960, 6584,15152, 6600,10032, 6616,14128, 6632,12080, 
+    6640,7984, 6648,16176, 6664,8368, 6680,12464, 6696,10416, 6712,14512, 6728,9392, 
+    6744,13488, 6760,11440, 6768,7344, 6776,15536, 6792,8880, 6808,12976, 
+    6824,10928, 6840,15024, 6856,9904, 6872,14000, 6888,11952, 6896,7856, 
+    6904,16048, 6920,8624, 6936,12720, 6952,10672, 6968,14768, 6984,9648, 
+    7000,13744, 7016,11696, 7024,7600, 7032,15792, 7048,9136, 7064,13232, 
+    7080,11184, 7096,15280, 7112,10160, 7128,14256, 7144,12208, 7152,8112, 
+    7160,16304, 7176,8304, 7192,12400, 7208,10352, 7224,14448, 7240,9328, 
+    7256,13424, 7272,11376, 7288,15472, 7304,8816, 7320,12912, 7336,10864, 
+    7352,14960, 7368,9840, 7384,13936, 7400,11888, 7408,7792, 7416,15984, 7432,8560, 
+    7448,12656, 7464,10608, 7480,14704, 7496,9584, 7512,13680, 7528,11632, 
+    7544,15728, 7560,9072, 7576,13168, 7592,11120, 7608,15216, 7624,10096, 
+    7640,14192, 7656,12144, 7664,8048, 7672,16240, 7688,8432, 7704,12528, 
+    7720,10480, 7736,14576, 7752,9456, 7768,13552, 7784,11504, 7800,15600, 
+    7816,8944, 7832,13040, 7848,10992, 7864,15088, 7880,9968, 7896,14064, 
+    7912,12016, 7928,16112, 7944,8688, 7960,12784, 7976,10736, 7992,14832, 
+    8008,9712, 8024,13808, 8040,11760, 8056,15856, 8072,9200, 8088,13296, 
+    8104,11248, 8120,15344, 8136,10224, 8152,14320, 8168,12272, 8184,16368, 
+    8216,12296, 8232,10248, 8248,14344, 8264,9224, 8280,13320, 8296,11272, 
+    8312,15368, 8328,8712, 8344,12808, 8360,10760, 8376,14856, 8392,9736, 
+    8408,13832, 8424,11784, 8440,15880, 8472,12552, 8488,10504, 8504,14600, 
+    8520,9480, 8536,13576, 8552,11528, 8568,15624, 8584,8968, 8600,13064, 
+    8616,11016, 8632,15112, 8648,9992, 8664,14088, 8680,12040, 8696,16136, 
+    8728,12424, 8744,10376, 8760,14472, 8776,9352, 8792,13448, 8808,11400, 
+    8824,15496, 8856,12936, 8872,10888, 8888,14984, 8904,9864, 8920,13960, 
+    8936,11912, 8952,16008, 8984,12680, 9000,10632, 9016,14728, 9032,9608, 
+    9048,13704, 9064,11656, 9080,15752, 9112,13192, 9128,11144, 9144,15240, 
+    9160,10120, 9176,14216, 9192,12168, 9208,16264, 9240,12360, 9256,10312, 
+    9272,14408, 9304,13384, 9320,11336, 9336,15432, 9368,12872, 9384,10824, 
+    9400,14920, 9416,9800, 9432,13896, 9448,11848, 9464,15944, 9496,12616, 
+    9512,10568, 9528,14664, 9560,13640, 9576,11592, 9592,15688, 9624,13128, 
+    9640,11080, 9656,15176, 9672,10056, 9688,14152, 9704,12104, 9720,16200, 
+    9752,12488, 9768,10440, 9784,14536, 9816,13512, 9832,11464, 9848,15560, 
+    9880,13000, 9896,10952, 9912,15048, 9944,14024, 9960,11976, 9976,16072, 
+    10008,12744, 10024,10696, 10040,14792, 10072,13768, 10088,11720, 10104,15816, 
+    10136,13256, 10152,11208, 10168,15304, 10200,14280, 10216,12232, 10232,16328, 
+    10264,12328, 10296,14376, 10328,13352, 10344,11304, 10360,15400, 10392,12840, 
+    10408,10792, 10424,14888, 10456,13864, 10472,11816, 10488,15912, 10520,12584, 
+    10552,14632, 10584,13608, 10600,11560, 10616,15656, 10648,13096, 10664,11048, 
+    10680,15144, 10712,14120, 10728,12072, 10744,16168, 10776,12456, 10808,14504, 
+    10840,13480, 10856,11432, 10872,15528, 10904,12968, 10936,15016, 10968,13992, 
+    10984,11944, 11000,16040, 11032,12712, 11064,14760, 11096,13736, 11112,11688, 
+    11128,15784, 11160,13224, 11192,15272, 11224,14248, 11240,12200, 11256,16296, 
+    11288,12392, 11320,14440, 11352,13416, 11384,15464, 11416,12904, 11448,14952, 
+    11480,13928, 11496,11880, 11512,15976, 11544,12648, 11576,14696, 11608,13672, 
+    11640,15720, 11672,13160, 11704,15208, 11736,14184, 11752,12136, 11768,16232, 
+    11800,12520, 11832,14568, 11864,13544, 11896,15592, 11928,13032, 11960,15080, 
+    11992,14056, 12024,16104, 12056,12776, 12088,14824, 12120,13800, 12152,15848, 
+    12184,13288, 12216,15336, 12248,14312, 12280,16360, 12344,14360, 12376,13336, 
+    12408,15384, 12440,12824, 12472,14872, 12504,13848, 12536,15896, 12600,14616, 
+    12632,13592, 12664,15640, 12696,13080, 12728,15128, 12760,14104, 12792,16152, 
+    12856,14488, 12888,13464, 12920,15512, 12984,15000, 13016,13976, 13048,16024, 
+    13112,14744, 13144,13720, 13176,15768, 13240,15256, 13272,14232, 13304,16280, 
+    13368,14424, 13432,15448, 13496,14936, 13528,13912, 13560,15960, 13624,14680, 
+    13688,15704, 13752,15192, 13784,14168, 13816,16216, 13880,14552, 13944,15576, 
+    14008,15064, 14072,16088, 14136,14808, 14200,15832, 14264,15320, 14328,16344, 
+    14456,15416, 14520,14904, 14584,15928, 14712,15672, 14776,15160, 14840,16184, 
+    14968,15544, 15096,16056, 15224,15800, 15352,16312, 15608,15992, 15864,16248 
+};
+
+const uint16_t armBitRevIndexTable_fixed_4096[ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH] = 
+{
+    //radix 4, size 4032
+    8,16384, 16,8192, 24,24576, 32,4096, 40,20480, 48,12288, 56,28672, 64,2048, 
+    72,18432, 80,10240, 88,26624, 96,6144, 104,22528, 112,14336, 120,30720, 
+    128,1024, 136,17408, 144,9216, 152,25600, 160,5120, 168,21504, 176,13312, 
+    184,29696, 192,3072, 200,19456, 208,11264, 216,27648, 224,7168, 232,23552, 
+    240,15360, 248,31744, 256,512, 264,16896, 272,8704, 280,25088, 288,4608, 
+    296,20992, 304,12800, 312,29184, 320,2560, 328,18944, 336,10752, 344,27136, 
+    352,6656, 360,23040, 368,14848, 376,31232, 384,1536, 392,17920, 400,9728, 
+    408,26112, 416,5632, 424,22016, 432,13824, 440,30208, 448,3584, 456,19968, 
+    464,11776, 472,28160, 480,7680, 488,24064, 496,15872, 504,32256, 520,16640, 
+    528,8448, 536,24832, 544,4352, 552,20736, 560,12544, 568,28928, 576,2304, 
+    584,18688, 592,10496, 600,26880, 608,6400, 616,22784, 624,14592, 632,30976, 
+    640,1280, 648,17664, 656,9472, 664,25856, 672,5376, 680,21760, 688,13568, 
+    696,29952, 704,3328, 712,19712, 720,11520, 728,27904, 736,7424, 744,23808, 
+    752,15616, 760,32000, 776,17152, 784,8960, 792,25344, 800,4864, 808,21248, 
+    816,13056, 824,29440, 832,2816, 840,19200, 848,11008, 856,27392, 864,6912, 
+    872,23296, 880,15104, 888,31488, 896,1792, 904,18176, 912,9984, 920,26368, 
+    928,5888, 936,22272, 944,14080, 952,30464, 960,3840, 968,20224, 976,12032, 
+    984,28416, 992,7936, 1000,24320, 1008,16128, 1016,32512, 1032,16512, 1040,8320, 
+    1048,24704, 1056,4224, 1064,20608, 1072,12416, 1080,28800, 1088,2176, 
+    1096,18560, 1104,10368, 1112,26752, 1120,6272, 1128,22656, 1136,14464, 
+    1144,30848, 1160,17536, 1168,9344, 1176,25728, 1184,5248, 1192,21632, 
+    1200,13440, 1208,29824, 1216,3200, 1224,19584, 1232,11392, 1240,27776, 
+    1248,7296, 1256,23680, 1264,15488, 1272,31872, 1288,17024, 1296,8832, 
+    1304,25216, 1312,4736, 1320,21120, 1328,12928, 1336,29312, 1344,2688, 
+    1352,19072, 1360,10880, 1368,27264, 1376,6784, 1384,23168, 1392,14976, 
+    1400,31360, 1408,1664, 1416,18048, 1424,9856, 1432,26240, 1440,5760, 1448,22144, 
+    1456,13952, 1464,30336, 1472,3712, 1480,20096, 1488,11904, 1496,28288, 
+    1504,7808, 1512,24192, 1520,16000, 1528,32384, 1544,16768, 1552,8576, 
+    1560,24960, 1568,4480, 1576,20864, 1584,12672, 1592,29056, 1600,2432, 
+    1608,18816, 1616,10624, 1624,27008, 1632,6528, 1640,22912, 1648,14720, 
+    1656,31104, 1672,17792, 1680,9600, 1688,25984, 1696,5504, 1704,21888, 
+    1712,13696, 1720,30080, 1728,3456, 1736,19840, 1744,11648, 1752,28032, 
+    1760,7552, 1768,23936, 1776,15744, 1784,32128, 1800,17280, 1808,9088, 
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+    14920,18800, 14936,26992, 14952,22896, 14968,31088, 14984,17776, 15000,25968, 
+    15016,21872, 15032,30064, 15048,19824, 15064,28016, 15080,23920, 15088,15728, 
+    15096,32112, 15112,17264, 15128,25456, 15144,21360, 15160,29552, 15176,19312, 
+    15192,27504, 15208,23408, 15224,31600, 15240,18288, 15256,26480, 15272,22384, 
+    15288,30576, 15304,20336, 15320,28528, 15336,24432, 15344,16240, 15352,32624, 
+    15368,16624, 15384,24816, 15400,20720, 15416,28912, 15432,18672, 15448,26864, 
+    15464,22768, 15480,30960, 15496,17648, 15512,25840, 15528,21744, 15544,29936, 
+    15560,19696, 15576,27888, 15592,23792, 15608,31984, 15624,17136, 15640,25328, 
+    15656,21232, 15672,29424, 15688,19184, 15704,27376, 15720,23280, 15736,31472, 
+    15752,18160, 15768,26352, 15784,22256, 15800,30448, 15816,20208, 15832,28400, 
+    15848,24304, 15856,16112, 15864,32496, 15880,16880, 15896,25072, 15912,20976, 
+    15928,29168, 15944,18928, 15960,27120, 15976,23024, 15992,31216, 16008,17904, 
+    16024,26096, 16040,22000, 16056,30192, 16072,19952, 16088,28144, 16104,24048, 
+    16120,32240, 16136,17392, 16152,25584, 16168,21488, 16184,29680, 16200,19440, 
+    16216,27632, 16232,23536, 16248,31728, 16264,18416, 16280,26608, 16296,22512, 
+    16312,30704, 16328,20464, 16344,28656, 16360,24560, 16376,32752, 16408,24584, 
+    16424,20488, 16440,28680, 16456,18440, 16472,26632, 16488,22536, 16504,30728, 
+    16520,17416, 16536,25608, 16552,21512, 16568,29704, 16584,19464, 16600,27656, 
+    16616,23560, 16632,31752, 16648,16904, 16664,25096, 16680,21000, 16696,29192, 
+    16712,18952, 16728,27144, 16744,23048, 16760,31240, 16776,17928, 16792,26120, 
+    16808,22024, 16824,30216, 16840,19976, 16856,28168, 16872,24072, 16888,32264, 
+    16920,24840, 16936,20744, 16952,28936, 16968,18696, 16984,26888, 17000,22792, 
+    17016,30984, 17032,17672, 17048,25864, 17064,21768, 17080,29960, 17096,19720, 
+    17112,27912, 17128,23816, 17144,32008, 17176,25352, 17192,21256, 17208,29448, 
+    17224,19208, 17240,27400, 17256,23304, 17272,31496, 17288,18184, 17304,26376, 
+    17320,22280, 17336,30472, 17352,20232, 17368,28424, 17384,24328, 17400,32520, 
+    17432,24712, 17448,20616, 17464,28808, 17480,18568, 17496,26760, 17512,22664, 
+    17528,30856, 17560,25736, 17576,21640, 17592,29832, 17608,19592, 17624,27784, 
+    17640,23688, 17656,31880, 17688,25224, 17704,21128, 17720,29320, 17736,19080, 
+    17752,27272, 17768,23176, 17784,31368, 17800,18056, 17816,26248, 17832,22152, 
+    17848,30344, 17864,20104, 17880,28296, 17896,24200, 17912,32392, 17944,24968, 
+    17960,20872, 17976,29064, 17992,18824, 18008,27016, 18024,22920, 18040,31112, 
+    18072,25992, 18088,21896, 18104,30088, 18120,19848, 18136,28040, 18152,23944, 
+    18168,32136, 18200,25480, 18216,21384, 18232,29576, 18248,19336, 18264,27528, 
+    18280,23432, 18296,31624, 18328,26504, 18344,22408, 18360,30600, 18376,20360, 
+    18392,28552, 18408,24456, 18424,32648, 18456,24648, 18472,20552, 18488,28744, 
+    18520,26696, 18536,22600, 18552,30792, 18584,25672, 18600,21576, 18616,29768, 
+    18632,19528, 18648,27720, 18664,23624, 18680,31816, 18712,25160, 18728,21064, 
+    18744,29256, 18760,19016, 18776,27208, 18792,23112, 18808,31304, 18840,26184, 
+    18856,22088, 18872,30280, 18888,20040, 18904,28232, 18920,24136, 18936,32328, 
+    18968,24904, 18984,20808, 19000,29000, 19032,26952, 19048,22856, 19064,31048, 
+    19096,25928, 19112,21832, 19128,30024, 19144,19784, 19160,27976, 19176,23880, 
+    19192,32072, 19224,25416, 19240,21320, 19256,29512, 19288,27464, 19304,23368, 
+    19320,31560, 19352,26440, 19368,22344, 19384,30536, 19400,20296, 19416,28488, 
+    19432,24392, 19448,32584, 19480,24776, 19496,20680, 19512,28872, 19544,26824, 
+    19560,22728, 19576,30920, 19608,25800, 19624,21704, 19640,29896, 19672,27848, 
+    19688,23752, 19704,31944, 19736,25288, 19752,21192, 19768,29384, 19800,27336, 
+    19816,23240, 19832,31432, 19864,26312, 19880,22216, 19896,30408, 19912,20168, 
+    19928,28360, 19944,24264, 19960,32456, 19992,25032, 20008,20936, 20024,29128, 
+    20056,27080, 20072,22984, 20088,31176, 20120,26056, 20136,21960, 20152,30152, 
+    20184,28104, 20200,24008, 20216,32200, 20248,25544, 20264,21448, 20280,29640, 
+    20312,27592, 20328,23496, 20344,31688, 20376,26568, 20392,22472, 20408,30664, 
+    20440,28616, 20456,24520, 20472,32712, 20504,24616, 20536,28712, 20568,26664, 
+    20584,22568, 20600,30760, 20632,25640, 20648,21544, 20664,29736, 20696,27688, 
+    20712,23592, 20728,31784, 20760,25128, 20776,21032, 20792,29224, 20824,27176, 
+    20840,23080, 20856,31272, 20888,26152, 20904,22056, 20920,30248, 20952,28200, 
+    20968,24104, 20984,32296, 21016,24872, 21048,28968, 21080,26920, 21096,22824, 
+    21112,31016, 21144,25896, 21160,21800, 21176,29992, 21208,27944, 21224,23848, 
+    21240,32040, 21272,25384, 21304,29480, 21336,27432, 21352,23336, 21368,31528, 
+    21400,26408, 21416,22312, 21432,30504, 21464,28456, 21480,24360, 21496,32552, 
+    21528,24744, 21560,28840, 21592,26792, 21608,22696, 21624,30888, 21656,25768, 
+    21688,29864, 21720,27816, 21736,23720, 21752,31912, 21784,25256, 21816,29352, 
+    21848,27304, 21864,23208, 21880,31400, 21912,26280, 21928,22184, 21944,30376, 
+    21976,28328, 21992,24232, 22008,32424, 22040,25000, 22072,29096, 22104,27048, 
+    22120,22952, 22136,31144, 22168,26024, 22200,30120, 22232,28072, 22248,23976, 
+    22264,32168, 22296,25512, 22328,29608, 22360,27560, 22376,23464, 22392,31656, 
+    22424,26536, 22456,30632, 22488,28584, 22504,24488, 22520,32680, 22552,24680, 
+    22584,28776, 22616,26728, 22648,30824, 22680,25704, 22712,29800, 22744,27752, 
+    22760,23656, 22776,31848, 22808,25192, 22840,29288, 22872,27240, 22888,23144, 
+    22904,31336, 22936,26216, 22968,30312, 23000,28264, 23016,24168, 23032,32360, 
+    23064,24936, 23096,29032, 23128,26984, 23160,31080, 23192,25960, 23224,30056, 
+    23256,28008, 23272,23912, 23288,32104, 23320,25448, 23352,29544, 23384,27496, 
+    23416,31592, 23448,26472, 23480,30568, 23512,28520, 23528,24424, 23544,32616, 
+    23576,24808, 23608,28904, 23640,26856, 23672,30952, 23704,25832, 23736,29928, 
+    23768,27880, 23800,31976, 23832,25320, 23864,29416, 23896,27368, 23928,31464, 
+    23960,26344, 23992,30440, 24024,28392, 24040,24296, 24056,32488, 24088,25064, 
+    24120,29160, 24152,27112, 24184,31208, 24216,26088, 24248,30184, 24280,28136, 
+    24312,32232, 24344,25576, 24376,29672, 24408,27624, 24440,31720, 24472,26600, 
+    24504,30696, 24536,28648, 24568,32744, 24632,28696, 24664,26648, 24696,30744, 
+    24728,25624, 24760,29720, 24792,27672, 24824,31768, 24856,25112, 24888,29208, 
+    24920,27160, 24952,31256, 24984,26136, 25016,30232, 25048,28184, 25080,32280, 
+    25144,28952, 25176,26904, 25208,31000, 25240,25880, 25272,29976, 25304,27928, 
+    25336,32024, 25400,29464, 25432,27416, 25464,31512, 25496,26392, 25528,30488, 
+    25560,28440, 25592,32536, 25656,28824, 25688,26776, 25720,30872, 25784,29848, 
+    25816,27800, 25848,31896, 25912,29336, 25944,27288, 25976,31384, 26008,26264, 
+    26040,30360, 26072,28312, 26104,32408, 26168,29080, 26200,27032, 26232,31128, 
+    26296,30104, 26328,28056, 26360,32152, 26424,29592, 26456,27544, 26488,31640, 
+    26552,30616, 26584,28568, 26616,32664, 26680,28760, 26744,30808, 26808,29784, 
+    26840,27736, 26872,31832, 26936,29272, 26968,27224, 27000,31320, 27064,30296, 
+    27096,28248, 27128,32344, 27192,29016, 27256,31064, 27320,30040, 27352,27992, 
+    27384,32088, 27448,29528, 27512,31576, 27576,30552, 27608,28504, 27640,32600, 
+    27704,28888, 27768,30936, 27832,29912, 27896,31960, 27960,29400, 28024,31448, 
+    28088,30424, 28120,28376, 28152,32472, 28216,29144, 28280,31192, 28344,30168, 
+    28408,32216, 28472,29656, 28536,31704, 28600,30680, 28664,32728, 28792,30776, 
+    28856,29752, 28920,31800, 28984,29240, 29048,31288, 29112,30264, 29176,32312, 
+    29304,31032, 29368,30008, 29432,32056, 29560,31544, 29624,30520, 29688,32568, 
+    29816,30904, 29944,31928, 30072,31416, 30136,30392, 30200,32440, 30328,31160, 
+    30456,32184, 30584,31672, 30712,32696, 30968,31864, 31096,31352, 31224,32376, 
+    31480,32120, 31736,32632, 32248,32504 
+};
+
 /**    
 * \par    
 * Example code for Floating-point RFFT Twiddle factors Generation:    
@@ -16063,3 +26970,282 @@
     0.003067957f, -0.999995294f,
     0.001533980f, -0.999998823f
 };
+
+
+/**   
+ * \par    
+ * Example code for the generation of the floating-point sine table:
+ * <pre>
+ * tableSize = 512;    
+ * for(n = 0; n < (tableSize + 1); n++)    
+ * {    
+ *	sinTable[n]=sin(2*pi*n/tableSize);    
+ * }</pre>    
+ * \par    
+ * where pi value is  3.14159265358979    
+ */
+
+const float32_t sinTable_f32[FAST_MATH_TABLE_SIZE + 1] = {
+   0.00000000f, 0.01227154f, 0.02454123f, 0.03680722f, 0.04906767f, 0.06132074f,
+   0.07356456f, 0.08579731f, 0.09801714f, 0.11022221f, 0.12241068f, 0.13458071f,
+   0.14673047f, 0.15885814f, 0.17096189f, 0.18303989f, 0.19509032f, 0.20711138f,
+   0.21910124f, 0.23105811f, 0.24298018f, 0.25486566f, 0.26671276f, 0.27851969f,
+   0.29028468f, 0.30200595f, 0.31368174f, 0.32531029f, 0.33688985f, 0.34841868f,
+   0.35989504f, 0.37131719f, 0.38268343f, 0.39399204f, 0.40524131f, 0.41642956f,
+   0.42755509f, 0.43861624f, 0.44961133f, 0.46053871f, 0.47139674f, 0.48218377f,
+   0.49289819f, 0.50353838f, 0.51410274f, 0.52458968f, 0.53499762f, 0.54532499f,
+   0.55557023f, 0.56573181f, 0.57580819f, 0.58579786f, 0.59569930f, 0.60551104f,
+   0.61523159f, 0.62485949f, 0.63439328f, 0.64383154f, 0.65317284f, 0.66241578f,
+   0.67155895f, 0.68060100f, 0.68954054f, 0.69837625f, 0.70710678f, 0.71573083f,
+   0.72424708f, 0.73265427f, 0.74095113f, 0.74913639f, 0.75720885f, 0.76516727f,
+   0.77301045f, 0.78073723f, 0.78834643f, 0.79583690f, 0.80320753f, 0.81045720f,
+   0.81758481f, 0.82458930f, 0.83146961f, 0.83822471f, 0.84485357f, 0.85135519f,
+   0.85772861f, 0.86397286f, 0.87008699f, 0.87607009f, 0.88192126f, 0.88763962f,
+   0.89322430f, 0.89867447f, 0.90398929f, 0.90916798f, 0.91420976f, 0.91911385f,
+   0.92387953f, 0.92850608f, 0.93299280f, 0.93733901f, 0.94154407f, 0.94560733f,
+   0.94952818f, 0.95330604f, 0.95694034f, 0.96043052f, 0.96377607f, 0.96697647f,
+   0.97003125f, 0.97293995f, 0.97570213f, 0.97831737f, 0.98078528f, 0.98310549f,
+   0.98527764f, 0.98730142f, 0.98917651f, 0.99090264f, 0.99247953f, 0.99390697f,
+   0.99518473f, 0.99631261f, 0.99729046f, 0.99811811f, 0.99879546f, 0.99932238f,
+   0.99969882f, 0.99992470f, 1.00000000f, 0.99992470f, 0.99969882f, 0.99932238f,
+   0.99879546f, 0.99811811f, 0.99729046f, 0.99631261f, 0.99518473f, 0.99390697f,
+   0.99247953f, 0.99090264f, 0.98917651f, 0.98730142f, 0.98527764f, 0.98310549f,
+   0.98078528f, 0.97831737f, 0.97570213f, 0.97293995f, 0.97003125f, 0.96697647f,
+   0.96377607f, 0.96043052f, 0.95694034f, 0.95330604f, 0.94952818f, 0.94560733f,
+   0.94154407f, 0.93733901f, 0.93299280f, 0.92850608f, 0.92387953f, 0.91911385f,
+   0.91420976f, 0.90916798f, 0.90398929f, 0.89867447f, 0.89322430f, 0.88763962f,
+   0.88192126f, 0.87607009f, 0.87008699f, 0.86397286f, 0.85772861f, 0.85135519f,
+   0.84485357f, 0.83822471f, 0.83146961f, 0.82458930f, 0.81758481f, 0.81045720f,
+   0.80320753f, 0.79583690f, 0.78834643f, 0.78073723f, 0.77301045f, 0.76516727f,
+   0.75720885f, 0.74913639f, 0.74095113f, 0.73265427f, 0.72424708f, 0.71573083f,
+   0.70710678f, 0.69837625f, 0.68954054f, 0.68060100f, 0.67155895f, 0.66241578f,
+   0.65317284f, 0.64383154f, 0.63439328f, 0.62485949f, 0.61523159f, 0.60551104f,
+   0.59569930f, 0.58579786f, 0.57580819f, 0.56573181f, 0.55557023f, 0.54532499f,
+   0.53499762f, 0.52458968f, 0.51410274f, 0.50353838f, 0.49289819f, 0.48218377f,
+   0.47139674f, 0.46053871f, 0.44961133f, 0.43861624f, 0.42755509f, 0.41642956f,
+   0.40524131f, 0.39399204f, 0.38268343f, 0.37131719f, 0.35989504f, 0.34841868f,
+   0.33688985f, 0.32531029f, 0.31368174f, 0.30200595f, 0.29028468f, 0.27851969f,
+   0.26671276f, 0.25486566f, 0.24298018f, 0.23105811f, 0.21910124f, 0.20711138f,
+   0.19509032f, 0.18303989f, 0.17096189f, 0.15885814f, 0.14673047f, 0.13458071f,
+   0.12241068f, 0.11022221f, 0.09801714f, 0.08579731f, 0.07356456f, 0.06132074f,
+   0.04906767f, 0.03680722f, 0.02454123f, 0.01227154f, 0.00000000f, -0.01227154f,
+   -0.02454123f, -0.03680722f, -0.04906767f, -0.06132074f, -0.07356456f,
+   -0.08579731f, -0.09801714f, -0.11022221f, -0.12241068f, -0.13458071f,
+   -0.14673047f, -0.15885814f, -0.17096189f, -0.18303989f, -0.19509032f, 
+   -0.20711138f, -0.21910124f, -0.23105811f, -0.24298018f, -0.25486566f, 
+   -0.26671276f, -0.27851969f, -0.29028468f, -0.30200595f, -0.31368174f, 
+   -0.32531029f, -0.33688985f, -0.34841868f, -0.35989504f, -0.37131719f, 
+   -0.38268343f, -0.39399204f, -0.40524131f, -0.41642956f, -0.42755509f, 
+   -0.43861624f, -0.44961133f, -0.46053871f, -0.47139674f, -0.48218377f, 
+   -0.49289819f, -0.50353838f, -0.51410274f, -0.52458968f, -0.53499762f, 
+   -0.54532499f, -0.55557023f, -0.56573181f, -0.57580819f, -0.58579786f, 
+   -0.59569930f, -0.60551104f, -0.61523159f, -0.62485949f, -0.63439328f, 
+   -0.64383154f, -0.65317284f, -0.66241578f, -0.67155895f, -0.68060100f, 
+   -0.68954054f, -0.69837625f, -0.70710678f, -0.71573083f, -0.72424708f, 
+   -0.73265427f, -0.74095113f, -0.74913639f, -0.75720885f, -0.76516727f, 
+   -0.77301045f, -0.78073723f, -0.78834643f, -0.79583690f, -0.80320753f, 
+   -0.81045720f, -0.81758481f, -0.82458930f, -0.83146961f, -0.83822471f, 
+   -0.84485357f, -0.85135519f, -0.85772861f, -0.86397286f, -0.87008699f, 
+   -0.87607009f, -0.88192126f, -0.88763962f, -0.89322430f, -0.89867447f, 
+   -0.90398929f, -0.90916798f, -0.91420976f, -0.91911385f, -0.92387953f, 
+   -0.92850608f, -0.93299280f, -0.93733901f, -0.94154407f, -0.94560733f, 
+   -0.94952818f, -0.95330604f, -0.95694034f, -0.96043052f, -0.96377607f, 
+   -0.96697647f, -0.97003125f, -0.97293995f, -0.97570213f, -0.97831737f, 
+   -0.98078528f, -0.98310549f, -0.98527764f, -0.98730142f, -0.98917651f, 
+   -0.99090264f, -0.99247953f, -0.99390697f, -0.99518473f, -0.99631261f, 
+   -0.99729046f, -0.99811811f, -0.99879546f, -0.99932238f, -0.99969882f, 
+   -0.99992470f, -1.00000000f, -0.99992470f, -0.99969882f, -0.99932238f, 
+   -0.99879546f, -0.99811811f, -0.99729046f, -0.99631261f, -0.99518473f, 
+   -0.99390697f, -0.99247953f, -0.99090264f, -0.98917651f, -0.98730142f, 
+   -0.98527764f, -0.98310549f, -0.98078528f, -0.97831737f, -0.97570213f, 
+   -0.97293995f, -0.97003125f, -0.96697647f, -0.96377607f, -0.96043052f, 
+   -0.95694034f, -0.95330604f, -0.94952818f, -0.94560733f, -0.94154407f, 
+   -0.93733901f, -0.93299280f, -0.92850608f, -0.92387953f, -0.91911385f, 
+   -0.91420976f, -0.90916798f, -0.90398929f, -0.89867447f, -0.89322430f, 
+   -0.88763962f, -0.88192126f, -0.87607009f, -0.87008699f, -0.86397286f, 
+   -0.85772861f, -0.85135519f, -0.84485357f, -0.83822471f, -0.83146961f, 
+   -0.82458930f, -0.81758481f, -0.81045720f, -0.80320753f, -0.79583690f, 
+   -0.78834643f, -0.78073723f, -0.77301045f, -0.76516727f, -0.75720885f, 
+   -0.74913639f, -0.74095113f, -0.73265427f, -0.72424708f, -0.71573083f, 
+   -0.70710678f, -0.69837625f, -0.68954054f, -0.68060100f, -0.67155895f, 
+   -0.66241578f, -0.65317284f, -0.64383154f, -0.63439328f, -0.62485949f, 
+   -0.61523159f, -0.60551104f, -0.59569930f, -0.58579786f, -0.57580819f, 
+   -0.56573181f, -0.55557023f, -0.54532499f, -0.53499762f, -0.52458968f, 
+   -0.51410274f, -0.50353838f, -0.49289819f, -0.48218377f, -0.47139674f, 
+   -0.46053871f, -0.44961133f, -0.43861624f, -0.42755509f, -0.41642956f, 
+   -0.40524131f, -0.39399204f, -0.38268343f, -0.37131719f, -0.35989504f, 
+   -0.34841868f, -0.33688985f, -0.32531029f, -0.31368174f, -0.30200595f, 
+   -0.29028468f, -0.27851969f, -0.26671276f, -0.25486566f, -0.24298018f, 
+   -0.23105811f, -0.21910124f, -0.20711138f, -0.19509032f, -0.18303989f, 
+   -0.17096189f, -0.15885814f, -0.14673047f, -0.13458071f, -0.12241068f, 
+   -0.11022221f, -0.09801714f, -0.08579731f, -0.07356456f, -0.06132074f, 
+   -0.04906767f, -0.03680722f, -0.02454123f, -0.01227154f, -0.00000000f
+};
+
+/**   
+ * \par    
+ * Table values are in Q31 (1.31 fixed-point format) and generation is done in 
+ * three steps.  First,  generate sin values in floating point:    
+ * <pre>
+ * tableSize = 512;      
+ * for(n = 0; n < (tableSize + 1); n++)    
+ * {    
+ *	sinTable[n]= sin(2*pi*n/tableSize);    
+ * } </pre>    
+ * where pi value is  3.14159265358979    
+ * \par    
+ * Second, convert floating-point to Q31 (Fixed point):
+ *	(sinTable[i] * pow(2, 31))    
+ * \par    
+ * Finally, round to the nearest integer value:
+ * 	sinTable[i] += (sinTable[i] > 0 ? 0.5 :-0.5);    
+ */
+const q31_t sinTable_q31[FAST_MATH_TABLE_SIZE + 1] = {
+   0x00000000, 0x01921D20, 0x03242ABF, 0x04B6195D, 0x0647D97C, 0x07D95B9E, 
+   0x096A9049, 0x0AFB6805, 0x0C8BD35E, 0x0E1BC2E4, 0x0FAB272B, 0x1139F0CF, 
+   0x12C8106F, 0x145576B1, 0x15E21445, 0x176DD9DE, 0x18F8B83C, 0x1A82A026, 
+   0x1C0B826A, 0x1D934FE5, 0x1F19F97B, 0x209F701C, 0x2223A4C5, 0x23A6887F, 
+   0x25280C5E, 0x26A82186, 0x2826B928, 0x29A3C485, 0x2B1F34EB, 0x2C98FBBA, 
+   0x2E110A62, 0x2F875262, 0x30FBC54D, 0x326E54C7, 0x33DEF287, 0x354D9057, 
+   0x36BA2014, 0x382493B0, 0x398CDD32, 0x3AF2EEB7, 0x3C56BA70, 0x3DB832A6, 
+   0x3F1749B8, 0x4073F21D, 0x41CE1E65, 0x4325C135, 0x447ACD50, 0x45CD358F, 
+   0x471CECE7, 0x4869E665, 0x49B41533, 0x4AFB6C98, 0x4C3FDFF4, 0x4D8162C4, 
+   0x4EBFE8A5, 0x4FFB654D, 0x5133CC94, 0x5269126E, 0x539B2AF0, 0x54CA0A4B, 
+   0x55F5A4D2, 0x571DEEFA, 0x5842DD54, 0x59646498, 0x5A82799A, 0x5B9D1154, 
+   0x5CB420E0, 0x5DC79D7C, 0x5ED77C8A, 0x5FE3B38D, 0x60EC3830, 0x61F1003F, 
+   0x62F201AC, 0x63EF3290, 0x64E88926, 0x65DDFBD3, 0x66CF8120, 0x67BD0FBD, 
+   0x68A69E81, 0x698C246C, 0x6A6D98A4, 0x6B4AF279, 0x6C242960, 0x6CF934FC, 
+   0x6DCA0D14, 0x6E96A99D, 0x6F5F02B2, 0x7023109A, 0x70E2CBC6, 0x719E2CD2, 
+   0x72552C85, 0x7307C3D0, 0x73B5EBD1, 0x745F9DD1, 0x7504D345, 0x75A585CF, 
+   0x7641AF3D, 0x76D94989, 0x776C4EDB, 0x77FAB989, 0x78848414, 0x7909A92D, 
+   0x798A23B1, 0x7A05EEAD, 0x7A7D055B, 0x7AEF6323, 0x7B5D039E, 0x7BC5E290, 
+   0x7C29FBEE, 0x7C894BDE, 0x7CE3CEB2, 0x7D3980EC, 0x7D8A5F40, 0x7DD6668F, 
+   0x7E1D93EA, 0x7E5FE493, 0x7E9D55FC, 0x7ED5E5C6, 0x7F0991C4, 0x7F3857F6, 
+   0x7F62368F, 0x7F872BF3, 0x7FA736B4, 0x7FC25596, 0x7FD8878E, 0x7FE9CBC0, 
+   0x7FF62182, 0x7FFD885A, 0x7FFFFFFF, 0x7FFD885A, 0x7FF62182, 0x7FE9CBC0, 
+   0x7FD8878E, 0x7FC25596, 0x7FA736B4, 0x7F872BF3, 0x7F62368F, 0x7F3857F6, 
+   0x7F0991C4, 0x7ED5E5C6, 0x7E9D55FC, 0x7E5FE493, 0x7E1D93EA, 0x7DD6668F, 
+   0x7D8A5F40, 0x7D3980EC, 0x7CE3CEB2, 0x7C894BDE, 0x7C29FBEE, 0x7BC5E290, 
+   0x7B5D039E, 0x7AEF6323, 0x7A7D055B, 0x7A05EEAD, 0x798A23B1, 0x7909A92D, 
+   0x78848414, 0x77FAB989, 0x776C4EDB, 0x76D94989, 0x7641AF3D, 0x75A585CF, 
+   0x7504D345, 0x745F9DD1, 0x73B5EBD1, 0x7307C3D0, 0x72552C85, 0x719E2CD2, 
+   0x70E2CBC6, 0x7023109A, 0x6F5F02B2, 0x6E96A99D, 0x6DCA0D14, 0x6CF934FC, 
+   0x6C242960, 0x6B4AF279, 0x6A6D98A4, 0x698C246C, 0x68A69E81, 0x67BD0FBD, 
+   0x66CF8120, 0x65DDFBD3, 0x64E88926, 0x63EF3290, 0x62F201AC, 0x61F1003F, 
+   0x60EC3830, 0x5FE3B38D, 0x5ED77C8A, 0x5DC79D7C, 0x5CB420E0, 0x5B9D1154, 
+   0x5A82799A, 0x59646498, 0x5842DD54, 0x571DEEFA, 0x55F5A4D2, 0x54CA0A4B, 
+   0x539B2AF0, 0x5269126E, 0x5133CC94, 0x4FFB654D, 0x4EBFE8A5, 0x4D8162C4, 
+   0x4C3FDFF4, 0x4AFB6C98, 0x49B41533, 0x4869E665, 0x471CECE7, 0x45CD358F, 
+   0x447ACD50, 0x4325C135, 0x41CE1E65, 0x4073F21D, 0x3F1749B8, 0x3DB832A6, 
+   0x3C56BA70, 0x3AF2EEB7, 0x398CDD32, 0x382493B0, 0x36BA2014, 0x354D9057, 
+   0x33DEF287, 0x326E54C7, 0x30FBC54D, 0x2F875262, 0x2E110A62, 0x2C98FBBA, 
+   0x2B1F34EB, 0x29A3C485, 0x2826B928, 0x26A82186, 0x25280C5E, 0x23A6887F, 
+   0x2223A4C5, 0x209F701C, 0x1F19F97B, 0x1D934FE5, 0x1C0B826A, 0x1A82A026, 
+   0x18F8B83C, 0x176DD9DE, 0x15E21445, 0x145576B1, 0x12C8106F, 0x1139F0CF, 
+   0x0FAB272B, 0x0E1BC2E4, 0x0C8BD35E, 0x0AFB6805, 0x096A9049, 0x07D95B9E, 
+   0x0647D97C, 0x04B6195D, 0x03242ABF, 0x01921D20, 0x00000000, 0xFE6DE2E0, 
+   0xFCDBD541, 0xFB49E6A3, 0xF9B82684, 0xF826A462, 0xF6956FB7, 0xF50497FB, 
+   0xF3742CA2, 0xF1E43D1C, 0xF054D8D5, 0xEEC60F31, 0xED37EF91, 0xEBAA894F, 
+   0xEA1DEBBB, 0xE8922622, 0xE70747C4, 0xE57D5FDA, 0xE3F47D96, 0xE26CB01B, 
+   0xE0E60685, 0xDF608FE4, 0xDDDC5B3B, 0xDC597781, 0xDAD7F3A2, 0xD957DE7A, 
+   0xD7D946D8, 0xD65C3B7B, 0xD4E0CB15, 0xD3670446, 0xD1EEF59E, 0xD078AD9E, 
+   0xCF043AB3, 0xCD91AB39, 0xCC210D79, 0xCAB26FA9, 0xC945DFEC, 0xC7DB6C50, 
+   0xC67322CE, 0xC50D1149, 0xC3A94590, 0xC247CD5A, 0xC0E8B648, 0xBF8C0DE3, 
+   0xBE31E19B, 0xBCDA3ECB, 0xBB8532B0, 0xBA32CA71, 0xB8E31319, 0xB796199B, 
+   0xB64BEACD, 0xB5049368, 0xB3C0200C, 0xB27E9D3C, 0xB140175B, 0xB0049AB3, 
+   0xAECC336C, 0xAD96ED92, 0xAC64D510, 0xAB35F5B5, 0xAA0A5B2E, 0xA8E21106, 
+   0xA7BD22AC, 0xA69B9B68, 0xA57D8666, 0xA462EEAC, 0xA34BDF20, 0xA2386284, 
+   0xA1288376, 0xA01C4C73, 0x9F13C7D0, 0x9E0EFFC1, 0x9D0DFE54, 0x9C10CD70, 
+   0x9B1776DA, 0x9A22042D, 0x99307EE0, 0x9842F043, 0x9759617F, 0x9673DB94, 
+   0x9592675C, 0x94B50D87, 0x93DBD6A0, 0x9306CB04, 0x9235F2EC, 0x91695663, 
+   0x90A0FD4E, 0x8FDCEF66, 0x8F1D343A, 0x8E61D32E, 0x8DAAD37B, 0x8CF83C30, 
+   0x8C4A142F, 0x8BA0622F, 0x8AFB2CBB, 0x8A5A7A31, 0x89BE50C3, 0x8926B677, 
+   0x8893B125, 0x88054677, 0x877B7BEC, 0x86F656D3, 0x8675DC4F, 0x85FA1153, 
+   0x8582FAA5, 0x85109CDD, 0x84A2FC62, 0x843A1D70, 0x83D60412, 0x8376B422, 
+   0x831C314E, 0x82C67F14, 0x8275A0C0, 0x82299971, 0x81E26C16, 0x81A01B6D, 
+   0x8162AA04, 0x812A1A3A, 0x80F66E3C, 0x80C7A80A, 0x809DC971, 0x8078D40D, 
+   0x8058C94C, 0x803DAA6A, 0x80277872, 0x80163440, 0x8009DE7E, 0x800277A6, 
+   0x80000000, 0x800277A6, 0x8009DE7E, 0x80163440, 0x80277872, 0x803DAA6A, 
+   0x8058C94C, 0x8078D40D, 0x809DC971, 0x80C7A80A, 0x80F66E3C, 0x812A1A3A, 
+   0x8162AA04, 0x81A01B6D, 0x81E26C16, 0x82299971, 0x8275A0C0, 0x82C67F14, 
+   0x831C314E, 0x8376B422, 0x83D60412, 0x843A1D70, 0x84A2FC62, 0x85109CDD, 
+   0x8582FAA5, 0x85FA1153, 0x8675DC4F, 0x86F656D3, 0x877B7BEC, 0x88054677, 
+   0x8893B125, 0x8926B677, 0x89BE50C3, 0x8A5A7A31, 0x8AFB2CBB, 0x8BA0622F, 
+   0x8C4A142F, 0x8CF83C30, 0x8DAAD37B, 0x8E61D32E, 0x8F1D343A, 0x8FDCEF66, 
+   0x90A0FD4E, 0x91695663, 0x9235F2EC, 0x9306CB04, 0x93DBD6A0, 0x94B50D87, 
+   0x9592675C, 0x9673DB94, 0x9759617F, 0x9842F043, 0x99307EE0, 0x9A22042D, 
+   0x9B1776DA, 0x9C10CD70, 0x9D0DFE54, 0x9E0EFFC1, 0x9F13C7D0, 0xA01C4C73, 
+   0xA1288376, 0xA2386284, 0xA34BDF20, 0xA462EEAC, 0xA57D8666, 0xA69B9B68, 
+   0xA7BD22AC, 0xA8E21106, 0xAA0A5B2E, 0xAB35F5B5, 0xAC64D510, 0xAD96ED92, 
+   0xAECC336C, 0xB0049AB3, 0xB140175B, 0xB27E9D3C, 0xB3C0200C, 0xB5049368, 
+   0xB64BEACD, 0xB796199B, 0xB8E31319, 0xBA32CA71, 0xBB8532B0, 0xBCDA3ECB, 
+   0xBE31E19B, 0xBF8C0DE3, 0xC0E8B648, 0xC247CD5A, 0xC3A94590, 0xC50D1149, 
+   0xC67322CE, 0xC7DB6C50, 0xC945DFEC, 0xCAB26FA9, 0xCC210D79, 0xCD91AB39, 
+   0xCF043AB3, 0xD078AD9E, 0xD1EEF59E, 0xD3670446, 0xD4E0CB15, 0xD65C3B7B, 
+   0xD7D946D8, 0xD957DE7A, 0xDAD7F3A2, 0xDC597781, 0xDDDC5B3B, 0xDF608FE4, 
+   0xE0E60685, 0xE26CB01B, 0xE3F47D96, 0xE57D5FDA, 0xE70747C4, 0xE8922622, 
+   0xEA1DEBBB, 0xEBAA894F, 0xED37EF91, 0xEEC60F31, 0xF054D8D5, 0xF1E43D1C, 
+   0xF3742CA2, 0xF50497FB, 0xF6956FB7, 0xF826A462, 0xF9B82684, 0xFB49E6A3, 
+   0xFCDBD541, 0xFE6DE2E0, 0x00000000 
+};
+
+/**   
+ * \par    
+ * Table values are in Q15 (1.15 fixed-point format) and generation is done in 
+ * three steps.  First,  generate sin values in floating point:    
+ * <pre>
+ * tableSize = 512;      
+ * for(n = 0; n < (tableSize + 1); n++)    
+ * {    
+ *	sinTable[n]= sin(2*pi*n/tableSize);    
+ * } </pre>    
+ * where pi value is  3.14159265358979    
+ * \par    
+ * Second, convert floating-point to Q15 (Fixed point):
+ *	(sinTable[i] * pow(2, 15))    
+ * \par    
+ * Finally, round to the nearest integer value:
+ * 	sinTable[i] += (sinTable[i] > 0 ? 0.5 :-0.5);    
+ */
+const q15_t sinTable_q15[FAST_MATH_TABLE_SIZE + 1] = {
+   0x0000, 0x0192, 0x0324, 0x04B6, 0x0648, 0x07D9, 0x096B, 0x0AFB, 0x0C8C, 0x0E1C, 0x0FAB, 0x113A, 0x12C8,
+   0x1455, 0x15E2, 0x176E, 0x18F9, 0x1A83, 0x1C0C, 0x1D93, 0x1F1A, 0x209F, 0x2224, 0x23A7, 0x2528, 0x26A8,
+   0x2827, 0x29A4, 0x2B1F, 0x2C99, 0x2E11, 0x2F87, 0x30FC, 0x326E, 0x33DF, 0x354E, 0x36BA, 0x3825, 0x398D,
+   0x3AF3, 0x3C57, 0x3DB8, 0x3F17, 0x4074, 0x41CE, 0x4326, 0x447B, 0x45CD, 0x471D, 0x486A, 0x49B4, 0x4AFB,
+   0x4C40, 0x4D81, 0x4EC0, 0x4FFB, 0x5134, 0x5269, 0x539B, 0x54CA, 0x55F6, 0x571E, 0x5843, 0x5964, 0x5A82,
+   0x5B9D, 0x5CB4, 0x5DC8, 0x5ED7, 0x5FE4, 0x60EC, 0x61F1, 0x62F2, 0x63EF, 0x64E9, 0x65DE, 0x66D0, 0x67BD,
+   0x68A7, 0x698C, 0x6A6E, 0x6B4B, 0x6C24, 0x6CF9, 0x6DCA, 0x6E97, 0x6F5F, 0x7023, 0x70E3, 0x719E, 0x7255,
+   0x7308, 0x73B6, 0x7460, 0x7505, 0x75A6, 0x7642, 0x76D9, 0x776C, 0x77FB, 0x7885, 0x790A, 0x798A, 0x7A06,
+   0x7A7D, 0x7AEF, 0x7B5D, 0x7BC6, 0x7C2A, 0x7C89, 0x7CE4, 0x7D3A, 0x7D8A, 0x7DD6, 0x7E1E, 0x7E60, 0x7E9D,
+   0x7ED6, 0x7F0A, 0x7F38, 0x7F62, 0x7F87, 0x7FA7, 0x7FC2, 0x7FD9, 0x7FEA, 0x7FF6, 0x7FFE, 0x7FFF, 0x7FFE,
+   0x7FF6, 0x7FEA, 0x7FD9, 0x7FC2, 0x7FA7, 0x7F87, 0x7F62, 0x7F38, 0x7F0A, 0x7ED6, 0x7E9D, 0x7E60, 0x7E1E,
+   0x7DD6, 0x7D8A, 0x7D3A, 0x7CE4, 0x7C89, 0x7C2A, 0x7BC6, 0x7B5D, 0x7AEF, 0x7A7D, 0x7A06, 0x798A, 0x790A,
+   0x7885, 0x77FB, 0x776C, 0x76D9, 0x7642, 0x75A6, 0x7505, 0x7460, 0x73B6, 0x7308, 0x7255, 0x719E, 0x70E3,
+   0x7023, 0x6F5F, 0x6E97, 0x6DCA, 0x6CF9, 0x6C24, 0x6B4B, 0x6A6E, 0x698C, 0x68A7, 0x67BD, 0x66D0, 0x65DE,
+   0x64E9, 0x63EF, 0x62F2, 0x61F1, 0x60EC, 0x5FE4, 0x5ED7, 0x5DC8, 0x5CB4, 0x5B9D, 0x5A82, 0x5964, 0x5843,
+   0x571E, 0x55F6, 0x54CA, 0x539B, 0x5269, 0x5134, 0x4FFB, 0x4EC0, 0x4D81, 0x4C40, 0x4AFB, 0x49B4, 0x486A,
+   0x471D, 0x45CD, 0x447B, 0x4326, 0x41CE, 0x4074, 0x3F17, 0x3DB8, 0x3C57, 0x3AF3, 0x398D, 0x3825, 0x36BA,
+   0x354E, 0x33DF, 0x326E, 0x30FC, 0x2F87, 0x2E11, 0x2C99, 0x2B1F, 0x29A4, 0x2827, 0x26A8, 0x2528, 0x23A7,
+   0x2224, 0x209F, 0x1F1A, 0x1D93, 0x1C0C, 0x1A83, 0x18F9, 0x176E, 0x15E2, 0x1455, 0x12C8, 0x113A, 0x0FAB,
+   0x0E1C, 0x0C8C, 0x0AFB, 0x096B, 0x07D9, 0x0648, 0x04B6, 0x0324, 0x0192, 0x0000, 0xFE6E, 0xFCDC, 0xFB4A,
+   0xF9B8, 0xF827, 0xF695, 0xF505, 0xF374, 0xF1E4, 0xF055, 0xEEC6, 0xED38, 0xEBAB, 0xEA1E, 0xE892, 0xE707,
+   0xE57D, 0xE3F4, 0xE26D, 0xE0E6, 0xDF61, 0xDDDC, 0xDC59, 0xDAD8, 0xD958, 0xD7D9, 0xD65C, 0xD4E1, 0xD367,
+   0xD1EF, 0xD079, 0xCF04, 0xCD92, 0xCC21, 0xCAB2, 0xC946, 0xC7DB, 0xC673, 0xC50D, 0xC3A9, 0xC248, 0xC0E9,
+   0xBF8C, 0xBE32, 0xBCDA, 0xBB85, 0xBA33, 0xB8E3, 0xB796, 0xB64C, 0xB505, 0xB3C0, 0xB27F, 0xB140, 0xB005,
+   0xAECC, 0xAD97, 0xAC65, 0xAB36, 0xAA0A, 0xA8E2, 0xA7BD, 0xA69C, 0xA57E, 0xA463, 0xA34C, 0xA238, 0xA129,
+   0xA01C, 0x9F14, 0x9E0F, 0x9D0E, 0x9C11, 0x9B17, 0x9A22, 0x9930, 0x9843, 0x9759, 0x9674, 0x9592, 0x94B5,
+   0x93DC, 0x9307, 0x9236, 0x9169, 0x90A1, 0x8FDD, 0x8F1D, 0x8E62, 0x8DAB, 0x8CF8, 0x8C4A, 0x8BA0, 0x8AFB,
+   0x8A5A, 0x89BE, 0x8927, 0x8894, 0x8805, 0x877B, 0x86F6, 0x8676, 0x85FA, 0x8583, 0x8511, 0x84A3, 0x843A,
+   0x83D6, 0x8377, 0x831C, 0x82C6, 0x8276, 0x822A, 0x81E2, 0x81A0, 0x8163, 0x812A, 0x80F6, 0x80C8, 0x809E,
+   0x8079, 0x8059, 0x803E, 0x8027, 0x8016, 0x800A, 0x8002, 0x8000, 0x8002, 0x800A, 0x8016, 0x8027, 0x803E,
+   0x8059, 0x8079, 0x809E, 0x80C8, 0x80F6, 0x812A, 0x8163, 0x81A0, 0x81E2, 0x822A, 0x8276, 0x82C6, 0x831C,
+   0x8377, 0x83D6, 0x843A, 0x84A3, 0x8511, 0x8583, 0x85FA, 0x8676, 0x86F6, 0x877B, 0x8805, 0x8894, 0x8927,
+   0x89BE, 0x8A5A, 0x8AFB, 0x8BA0, 0x8C4A, 0x8CF8, 0x8DAB, 0x8E62, 0x8F1D, 0x8FDD, 0x90A1, 0x9169, 0x9236,
+   0x9307, 0x93DC, 0x94B5, 0x9592, 0x9674, 0x9759, 0x9843, 0x9930, 0x9A22, 0x9B17, 0x9C11, 0x9D0E, 0x9E0F,
+   0x9F14, 0xA01C, 0xA129, 0xA238, 0xA34C, 0xA463, 0xA57E, 0xA69C, 0xA7BD, 0xA8E2, 0xAA0A, 0xAB36, 0xAC65,
+   0xAD97, 0xAECC, 0xB005, 0xB140, 0xB27F, 0xB3C0, 0xB505, 0xB64C, 0xB796, 0xB8E3, 0xBA33, 0xBB85, 0xBCDA,
+   0xBE32, 0xBF8C, 0xC0E9, 0xC248, 0xC3A9, 0xC50D, 0xC673, 0xC7DB, 0xC946, 0xCAB2, 0xCC21, 0xCD92, 0xCF04,
+   0xD079, 0xD1EF, 0xD367, 0xD4E1, 0xD65C, 0xD7D9, 0xD958, 0xDAD8, 0xDC59, 0xDDDC, 0xDF61, 0xE0E6, 0xE26D,
+   0xE3F4, 0xE57D, 0xE707, 0xE892, 0xEA1E, 0xEBAB, 0xED38, 0xEEC6, 0xF055, 0xF1E4, 0xF374, 0xF505, 0xF695,
+   0xF827, 0xF9B8, 0xFB4A, 0xFCDC, 0xFE6E, 0x0000
+};

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/CommonTables/arm_const_structs.c
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/cmsis_dsp/CommonTables/arm_const_structs.c	Fri Nov 20 08:45:18 2015 +0000
@@ -0,0 +1,156 @@
+/* ---------------------------------------------------------------------- 
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved. 
+* 
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5
+* 
+* Project: 	    CMSIS DSP Library 
+* Title:	    arm_const_structs.c 
+* 
+* Description:	This file has constant structs that are initialized for
+*              user convenience.  For example, some can be given as 
+*              arguments to the arm_cfft_f32() function.
+* 
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+#include "arm_const_structs.h"
+
+//Floating-point structs
+
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len16 = {
+	16, twiddleCoef_16, armBitRevIndexTable16, ARMBITREVINDEXTABLE__16_TABLE_LENGTH
+};
+
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len32 = {
+	32, twiddleCoef_32, armBitRevIndexTable32, ARMBITREVINDEXTABLE__32_TABLE_LENGTH
+};
+
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len64 = {
+	64, twiddleCoef_64, armBitRevIndexTable64, ARMBITREVINDEXTABLE__64_TABLE_LENGTH
+};
+
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len128 = {
+	128, twiddleCoef_128, armBitRevIndexTable128, ARMBITREVINDEXTABLE_128_TABLE_LENGTH
+};
+
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len256 = {
+	256, twiddleCoef_256, armBitRevIndexTable256, ARMBITREVINDEXTABLE_256_TABLE_LENGTH
+};
+
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len512 = {
+	512, twiddleCoef_512, armBitRevIndexTable512, ARMBITREVINDEXTABLE_512_TABLE_LENGTH
+};
+
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len1024 = {
+	1024, twiddleCoef_1024, armBitRevIndexTable1024, ARMBITREVINDEXTABLE1024_TABLE_LENGTH
+};
+
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len2048 = {
+	2048, twiddleCoef_2048, armBitRevIndexTable2048, ARMBITREVINDEXTABLE2048_TABLE_LENGTH
+};
+
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len4096 = {
+	4096, twiddleCoef_4096, armBitRevIndexTable4096, ARMBITREVINDEXTABLE4096_TABLE_LENGTH
+};
+
+//Fixed-point structs
+
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len16 = {
+	16, twiddleCoef_16_q31, armBitRevIndexTable_fixed_16, ARMBITREVINDEXTABLE_FIXED___16_TABLE_LENGTH
+};
+
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len32 = {
+	32, twiddleCoef_32_q31, armBitRevIndexTable_fixed_32, ARMBITREVINDEXTABLE_FIXED___32_TABLE_LENGTH
+};
+
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len64 = {
+	64, twiddleCoef_64_q31, armBitRevIndexTable_fixed_64, ARMBITREVINDEXTABLE_FIXED___64_TABLE_LENGTH
+};
+
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len128 = {
+	128, twiddleCoef_128_q31, armBitRevIndexTable_fixed_128, ARMBITREVINDEXTABLE_FIXED__128_TABLE_LENGTH
+};
+
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len256 = {
+	256, twiddleCoef_256_q31, armBitRevIndexTable_fixed_256, ARMBITREVINDEXTABLE_FIXED__256_TABLE_LENGTH
+};
+
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len512 = {
+	512, twiddleCoef_512_q31, armBitRevIndexTable_fixed_512, ARMBITREVINDEXTABLE_FIXED__512_TABLE_LENGTH
+};
+
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len1024 = {
+	1024, twiddleCoef_1024_q31, armBitRevIndexTable_fixed_1024, ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH
+};
+
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len2048 = {
+	2048, twiddleCoef_2048_q31, armBitRevIndexTable_fixed_2048, ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH
+};
+
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len4096 = {
+	4096, twiddleCoef_4096_q31, armBitRevIndexTable_fixed_4096, ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH
+};
+
+
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len16 = {
+	16, twiddleCoef_16_q15, armBitRevIndexTable_fixed_16, ARMBITREVINDEXTABLE_FIXED___16_TABLE_LENGTH
+};
+
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len32 = {
+	32, twiddleCoef_32_q15, armBitRevIndexTable_fixed_32, ARMBITREVINDEXTABLE_FIXED___32_TABLE_LENGTH
+};
+
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len64 = {
+	64, twiddleCoef_64_q15, armBitRevIndexTable_fixed_64, ARMBITREVINDEXTABLE_FIXED___64_TABLE_LENGTH
+};
+
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len128 = {
+	128, twiddleCoef_128_q15, armBitRevIndexTable_fixed_128, ARMBITREVINDEXTABLE_FIXED__128_TABLE_LENGTH
+};
+
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len256 = {
+	256, twiddleCoef_256_q15, armBitRevIndexTable_fixed_256, ARMBITREVINDEXTABLE_FIXED__256_TABLE_LENGTH
+};
+
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len512 = {
+	512, twiddleCoef_512_q15, armBitRevIndexTable_fixed_512, ARMBITREVINDEXTABLE_FIXED__512_TABLE_LENGTH
+};
+
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len1024 = {
+	1024, twiddleCoef_1024_q15, armBitRevIndexTable_fixed_1024, ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH
+};
+
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len2048 = {
+	2048, twiddleCoef_2048_q15, armBitRevIndexTable_fixed_2048, ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH
+};
+
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len4096 = {
+	4096, twiddleCoef_4096_q15, armBitRevIndexTable_fixed_4096, ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH
+};

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/ComplexMathFunctions/arm_cmplx_conj_f32.c
--- a/cmsis_dsp/ComplexMathFunctions/arm_cmplx_conj_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/ComplexMathFunctions/arm_cmplx_conj_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_cmplx_conj_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/ComplexMathFunctions/arm_cmplx_conj_q15.c
--- a/cmsis_dsp/ComplexMathFunctions/arm_cmplx_conj_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/ComplexMathFunctions/arm_cmplx_conj_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. October 2015
+* $Revision: 	V.1.4.5 a
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_cmplx_conj_q15.c    
@@ -103,7 +103,7 @@
     in3 = __QSAX(zero, in3);
     in4 = __QSAX(zero, in4);
 
-#endif //       #ifndef ARM_MATH_BIG_ENDIAN
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
 
     in1 = ((uint32_t) in1 >> 16) | ((uint32_t) in1 << 16);
     in2 = ((uint32_t) in2 >> 16) | ((uint32_t) in2 << 16);

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/ComplexMathFunctions/arm_cmplx_conj_q31.c
--- a/cmsis_dsp/ComplexMathFunctions/arm_cmplx_conj_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/ComplexMathFunctions/arm_cmplx_conj_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_cmplx_conj_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/ComplexMathFunctions/arm_cmplx_dot_prod_f32.c
--- a/cmsis_dsp/ComplexMathFunctions/arm_cmplx_dot_prod_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/ComplexMathFunctions/arm_cmplx_dot_prod_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_cmplx_dot_prod_f32.c    
@@ -93,6 +93,7 @@
   float32_t * imagResult)
 {
   float32_t real_sum = 0.0f, imag_sum = 0.0f;    /* Temporary result storage */
+  float32_t a0,b0,c0,d0;
 
 #ifndef ARM_MATH_CM0_FAMILY
 
@@ -106,38 +107,68 @@
    ** a second loop below computes the remaining 1 to 3 samples. */
   while(blkCnt > 0u)
   {
-    /* CReal = A[0]* B[0] + A[2]* B[2] + A[4]* B[4] + .....+ A[numSamples-2]* B[numSamples-2] */
-    real_sum += (*pSrcA++) * (*pSrcB++);
-    /* CImag = A[1]* B[1] + A[3]* B[3] + A[5]* B[5] + .....+ A[numSamples-1]* B[numSamples-1] */
-    imag_sum += (*pSrcA++) * (*pSrcB++);
-
-    real_sum += (*pSrcA++) * (*pSrcB++);
-    imag_sum += (*pSrcA++) * (*pSrcB++);
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;  
+  
+      real_sum += a0 * c0;
+      imag_sum += a0 * d0;
+      real_sum -= b0 * d0;
+      imag_sum += b0 * c0;
+    
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++; 
+  
+      real_sum += a0 * c0;
+      imag_sum += a0 * d0;
+      real_sum -= b0 * d0;
+      imag_sum += b0 * c0;
+      
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;  
+  
+      real_sum += a0 * c0;
+      imag_sum += a0 * d0;
+      real_sum -= b0 * d0;
+      imag_sum += b0 * c0;
+    
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++; 
+  
+      real_sum += a0 * c0;
+      imag_sum += a0 * d0;
+      real_sum -= b0 * d0;
+      imag_sum += b0 * c0;
 
-    real_sum += (*pSrcA++) * (*pSrcB++);
-    imag_sum += (*pSrcA++) * (*pSrcB++);
-
-    real_sum += (*pSrcA++) * (*pSrcB++);
-    imag_sum += (*pSrcA++) * (*pSrcB++);
-
-    /* Decrement the loop counter */
-    blkCnt--;
+      /* Decrement the loop counter */
+      blkCnt--;
   }
 
   /* If the numSamples is not a multiple of 4, compute any remaining output samples here.    
    ** No loop unrolling is used. */
-  blkCnt = numSamples % 0x4u;
+  blkCnt = numSamples & 0x3u;
 
   while(blkCnt > 0u)
   {
-    /* CReal = A[0]* B[0] + A[2]* B[2] + A[4]* B[4] + .....+ A[numSamples-2]* B[numSamples-2] */
-    real_sum += (*pSrcA++) * (*pSrcB++);
-    /* CImag = A[1]* B[1] + A[3]* B[3] + A[5]* B[5] + .....+ A[numSamples-1]* B[numSamples-1] */
-    imag_sum += (*pSrcA++) * (*pSrcB++);
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;  
+  
+      real_sum += a0 * c0;
+      imag_sum += a0 * d0;
+      real_sum -= b0 * d0;
+      imag_sum += b0 * c0;
 
-
-    /* Decrement the loop counter */
-    blkCnt--;
+      /* Decrement the loop counter */
+      blkCnt--;
   }
 
 #else
@@ -146,14 +177,18 @@
 
   while(numSamples > 0u)
   {
-    /* CReal = A[0]* B[0] + A[2]* B[2] + A[4]* B[4] + .....+ A[numSamples-2]* B[numSamples-2] */
-    real_sum += (*pSrcA++) * (*pSrcB++);
-    /* CImag = A[1]* B[1] + A[3]* B[3] + A[5]* B[5] + .....+ A[numSamples-1]* B[numSamples-1] */
-    imag_sum += (*pSrcA++) * (*pSrcB++);
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;  
+  
+      real_sum += a0 * c0;
+      imag_sum += a0 * d0;
+      real_sum -= b0 * d0;
+      imag_sum += b0 * c0;
 
-
-    /* Decrement the loop counter */
-    numSamples--;
+      /* Decrement the loop counter */
+      numSamples--;
   }
 
 #endif /* #ifndef ARM_MATH_CM0_FAMILY */

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/ComplexMathFunctions/arm_cmplx_dot_prod_q15.c
--- a/cmsis_dsp/ComplexMathFunctions/arm_cmplx_dot_prod_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/ComplexMathFunctions/arm_cmplx_dot_prod_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_cmplx_dot_prod_q15.c    
@@ -75,6 +75,7 @@
   q31_t * imagResult)
 {
   q63_t real_sum = 0, imag_sum = 0;              /* Temporary result storage */
+  q15_t a0,b0,c0,d0;
 
 #ifndef ARM_MATH_CM0_FAMILY
 
@@ -89,23 +90,48 @@
    ** a second loop below computes the remaining 1 to 3 samples. */
   while(blkCnt > 0u)
   {
-    /* CReal = A[0]* B[0] + A[2]* B[2] + A[4]* B[4] + .....+ A[numSamples-2]* B[numSamples-2] */
-    real_sum += ((q31_t) * pSrcA++ * *pSrcB++);
-
-    /* CImag = A[1]* B[1] + A[3]* B[3] + A[5]* B[5] + .....+ A[numSamples-1]* B[numSamples-1] */
-    imag_sum += ((q31_t) * pSrcA++ * *pSrcB++);
-
-    real_sum += ((q31_t) * pSrcA++ * *pSrcB++);
-    imag_sum += ((q31_t) * pSrcA++ * *pSrcB++);
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;  
+  
+      real_sum += (q31_t)a0 * c0;
+      imag_sum += (q31_t)a0 * d0;
+      real_sum -= (q31_t)b0 * d0;
+      imag_sum += (q31_t)b0 * c0;
+      
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;  
+  
+      real_sum += (q31_t)a0 * c0;
+      imag_sum += (q31_t)a0 * d0;
+      real_sum -= (q31_t)b0 * d0;
+      imag_sum += (q31_t)b0 * c0;
+      
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;  
+  
+      real_sum += (q31_t)a0 * c0;
+      imag_sum += (q31_t)a0 * d0;
+      real_sum -= (q31_t)b0 * d0;
+      imag_sum += (q31_t)b0 * c0;
+      
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;  
+  
+      real_sum += (q31_t)a0 * c0;
+      imag_sum += (q31_t)a0 * d0;
+      real_sum -= (q31_t)b0 * d0;
+      imag_sum += (q31_t)b0 * c0;
 
-    real_sum += ((q31_t) * pSrcA++ * *pSrcB++);
-    imag_sum += ((q31_t) * pSrcA++ * *pSrcB++);
-
-    real_sum += ((q31_t) * pSrcA++ * *pSrcB++);
-    imag_sum += ((q31_t) * pSrcA++ * *pSrcB++);
-
-    /* Decrement the loop counter */
-    blkCnt--;
+      /* Decrement the loop counter */
+      blkCnt--;
   }
 
   /* If the numSamples is not a multiple of 4, compute any remaining output samples here.    
@@ -114,13 +140,18 @@
 
   while(blkCnt > 0u)
   {
-    /* CReal = A[0]* B[0] + A[2]* B[2] + A[4]* B[4] + .....+ A[numSamples-2]* B[numSamples-2] */
-    real_sum += ((q31_t) * pSrcA++ * *pSrcB++);
-    /* CImag = A[1]* B[1] + A[3]* B[3] + A[5]* B[5] + .....+ A[numSamples-1]* B[numSamples-1] */
-    imag_sum += ((q31_t) * pSrcA++ * *pSrcB++);
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;  
+  
+      real_sum += (q31_t)a0 * c0;
+      imag_sum += (q31_t)a0 * d0;
+      real_sum -= (q31_t)b0 * d0;
+      imag_sum += (q31_t)b0 * c0;
 
-    /* Decrement the loop counter */
-    blkCnt--;
+      /* Decrement the loop counter */
+      blkCnt--;
   }
 
 #else
@@ -129,22 +160,28 @@
 
   while(numSamples > 0u)
   {
-    /* CReal = A[0]* B[0] + A[2]* B[2] + A[4]* B[4] + .....+ A[numSamples-2]* B[numSamples-2] */
-    real_sum += ((q31_t) * pSrcA++ * *pSrcB++);
-    /* CImag = A[1]* B[1] + A[3]* B[3] + A[5]* B[5] + .....+ A[numSamples-1]* B[numSamples-1] */
-    imag_sum += ((q31_t) * pSrcA++ * *pSrcB++);
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;  
+  
+      real_sum += a0 * c0;
+      imag_sum += a0 * d0;
+      real_sum -= b0 * d0;
+      imag_sum += b0 * c0;
 
-    /* Decrement the loop counter */
-    numSamples--;
+
+      /* Decrement the loop counter */
+      numSamples--;
   }
 
 #endif /* #ifndef ARM_MATH_CM0_FAMILY */
 
   /* Store the real and imaginary results in 8.24 format  */
   /* Convert real data in 34.30 to 8.24 by 6 right shifts */
-  *realResult = (q31_t) (real_sum) >> 6;
+  *realResult = (q31_t) (real_sum >> 6);
   /* Convert imaginary data in 34.30 to 8.24 by 6 right shifts */
-  *imagResult = (q31_t) (imag_sum) >> 6;
+  *imagResult = (q31_t) (imag_sum >> 6);
 }
 
 /**    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/ComplexMathFunctions/arm_cmplx_dot_prod_q31.c
--- a/cmsis_dsp/ComplexMathFunctions/arm_cmplx_dot_prod_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/ComplexMathFunctions/arm_cmplx_dot_prod_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_cmplx_dot_prod_q31.c    
@@ -76,6 +76,7 @@
   q63_t * imagResult)
 {
   q63_t real_sum = 0, imag_sum = 0;              /* Temporary result storage */
+  q31_t a0,b0,c0,d0;
 
 #ifndef ARM_MATH_CM0_FAMILY
 
@@ -90,25 +91,48 @@
    ** a second loop below computes the remaining 1 to 3 samples. */
   while(blkCnt > 0u)
   {
-    /* CReal = A[0]* B[0] + A[2]* B[2] + A[4]* B[4] + .....+ A[numSamples-2]* B[numSamples-2] */
-    /* Convert real data in 2.62 to 16.48 by 14 right shifts */
-    real_sum += (q63_t) * pSrcA++ * (*pSrcB++) >> 14;
-    /* CImag = A[1]* B[1] + A[3]* B[3] + A[5]* B[5] + .....+ A[numSamples-1]* B[numSamples-1] */
-    /* Convert imag data in 2.62 to 16.48 by 14 right shifts */
-    imag_sum += (q63_t) * pSrcA++ * (*pSrcB++) >> 14;
-
-    real_sum += (q63_t) * pSrcA++ * (*pSrcB++) >> 14;
-    imag_sum += (q63_t) * pSrcA++ * (*pSrcB++) >> 14;
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;  
+  
+      real_sum += ((q63_t)a0 * c0) >> 14;
+      imag_sum += ((q63_t)a0 * d0) >> 14;
+      real_sum -= ((q63_t)b0 * d0) >> 14;
+      imag_sum += ((q63_t)b0 * c0) >> 14;
+      
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;  
+  
+      real_sum += ((q63_t)a0 * c0) >> 14;
+      imag_sum += ((q63_t)a0 * d0) >> 14;
+      real_sum -= ((q63_t)b0 * d0) >> 14;
+      imag_sum += ((q63_t)b0 * c0) >> 14;
+      
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;  
+  
+      real_sum += ((q63_t)a0 * c0) >> 14;
+      imag_sum += ((q63_t)a0 * d0) >> 14;
+      real_sum -= ((q63_t)b0 * d0) >> 14;
+      imag_sum += ((q63_t)b0 * c0) >> 14;
+      
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;  
+  
+      real_sum += ((q63_t)a0 * c0) >> 14;
+      imag_sum += ((q63_t)a0 * d0) >> 14;
+      real_sum -= ((q63_t)b0 * d0) >> 14;
+      imag_sum += ((q63_t)b0 * c0) >> 14;
 
-    real_sum += (q63_t) * pSrcA++ * (*pSrcB++) >> 14;
-    imag_sum += (q63_t) * pSrcA++ * (*pSrcB++) >> 14;
-
-    real_sum += (q63_t) * pSrcA++ * (*pSrcB++) >> 14;
-    imag_sum += (q63_t) * pSrcA++ * (*pSrcB++) >> 14;
-
-
-    /* Decrement the loop counter */
-    blkCnt--;
+      /* Decrement the loop counter */
+      blkCnt--;
   }
 
   /* If the numSamples  is not a multiple of 4, compute any remaining output samples here.    
@@ -117,13 +141,18 @@
 
   while(blkCnt > 0u)
   {
-    /* CReal = A[0]* B[0] + A[2]* B[2] + A[4]* B[4] + .....+ A[numSamples-2]* B[numSamples-2] */
-    real_sum += (q63_t) * pSrcA++ * (*pSrcB++) >> 14;
-    /* CImag = A[1]* B[1] + A[3]* B[3] + A[5]* B[5] + .....+ A[numSamples-1]* B[numSamples-1] */
-    imag_sum += (q63_t) * pSrcA++ * (*pSrcB++) >> 14;
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;  
+  
+      real_sum += ((q63_t)a0 * c0) >> 14;
+      imag_sum += ((q63_t)a0 * d0) >> 14;
+      real_sum -= ((q63_t)b0 * d0) >> 14;
+      imag_sum += ((q63_t)b0 * c0) >> 14;
 
-    /* Decrement the loop counter */
-    blkCnt--;
+      /* Decrement the loop counter */
+      blkCnt--;
   }
 
 #else
@@ -132,13 +161,18 @@
 
   while(numSamples > 0u)
   {
-    /* outReal = realA[0]* realB[0] + realA[2]* realB[2] + realA[4]* realB[4] + .....+ realA[numSamples-2]* realB[numSamples-2] */
-    real_sum += (q63_t) * pSrcA++ * (*pSrcB++) >> 14;
-    /* outImag = imagA[1]* imagB[1] + imagA[3]* imagB[3] + imagA[5]* imagB[5] + .....+ imagA[numSamples-1]* imagB[numSamples-1] */
-    imag_sum += (q63_t) * pSrcA++ * (*pSrcB++) >> 14;
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;  
+  
+      real_sum += ((q63_t)a0 * c0) >> 14;
+      imag_sum += ((q63_t)a0 * d0) >> 14;
+      real_sum -= ((q63_t)b0 * d0) >> 14;
+      imag_sum += ((q63_t)b0 * c0) >> 14;
 
-    /* Decrement the loop counter */
-    numSamples--;
+      /* Decrement the loop counter */
+      numSamples--;
   }
 
 #endif /* #ifndef ARM_MATH_CM0_FAMILY */

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/ComplexMathFunctions/arm_cmplx_mag_f32.c
--- a/cmsis_dsp/ComplexMathFunctions/arm_cmplx_mag_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/ComplexMathFunctions/arm_cmplx_mag_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_cmplx_mag_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/ComplexMathFunctions/arm_cmplx_mag_q15.c
--- a/cmsis_dsp/ComplexMathFunctions/arm_cmplx_mag_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/ComplexMathFunctions/arm_cmplx_mag_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_cmplx_mag_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/ComplexMathFunctions/arm_cmplx_mag_q31.c
--- a/cmsis_dsp/ComplexMathFunctions/arm_cmplx_mag_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/ComplexMathFunctions/arm_cmplx_mag_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_cmplx_mag_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/ComplexMathFunctions/arm_cmplx_mag_squared_f32.c
--- a/cmsis_dsp/ComplexMathFunctions/arm_cmplx_mag_squared_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/ComplexMathFunctions/arm_cmplx_mag_squared_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_cmplx_mag_squared_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/ComplexMathFunctions/arm_cmplx_mag_squared_q15.c
--- a/cmsis_dsp/ComplexMathFunctions/arm_cmplx_mag_squared_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/ComplexMathFunctions/arm_cmplx_mag_squared_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_cmplx_mag_squared_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/ComplexMathFunctions/arm_cmplx_mag_squared_q31.c
--- a/cmsis_dsp/ComplexMathFunctions/arm_cmplx_mag_squared_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/ComplexMathFunctions/arm_cmplx_mag_squared_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_cmplx_mag_squared_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/ComplexMathFunctions/arm_cmplx_mult_cmplx_f32.c
--- a/cmsis_dsp/ComplexMathFunctions/arm_cmplx_mult_cmplx_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/ComplexMathFunctions/arm_cmplx_mult_cmplx_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_cmplx_mult_cmplx_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/ComplexMathFunctions/arm_cmplx_mult_cmplx_q15.c
--- a/cmsis_dsp/ComplexMathFunctions/arm_cmplx_mult_cmplx_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/ComplexMathFunctions/arm_cmplx_mult_cmplx_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_cmplx_mult_cmplx_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c
--- a/cmsis_dsp/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_cmplx_mult_cmplx_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/ComplexMathFunctions/arm_cmplx_mult_real_f32.c
--- a/cmsis_dsp/ComplexMathFunctions/arm_cmplx_mult_real_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/ComplexMathFunctions/arm_cmplx_mult_real_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_cmplx_mult_real_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/ComplexMathFunctions/arm_cmplx_mult_real_q15.c
--- a/cmsis_dsp/ComplexMathFunctions/arm_cmplx_mult_real_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/ComplexMathFunctions/arm_cmplx_mult_real_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. October 2015
+* $Revision: 	V.1.4.5 a
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_cmplx_mult_real_q15.c    
@@ -112,7 +112,7 @@
     mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) inB1);
     mul3 = (q31_t) ((q15_t) inA2 * (q15_t) inB1);
 
-#endif //      #ifndef ARM_MATH_BIG_ENDIAN
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
 
     /* saturate the result */
     out1 = (q15_t) __SSAT(mul1 >> 15u, 16);
@@ -142,7 +142,7 @@
     mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) inB1);
     mul3 = (q31_t) ((q15_t) inA2 * (q15_t) inB1);
 
-#endif //      #ifndef ARM_MATH_BIG_ENDIAN
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
 
     out1 = (q15_t) __SSAT(mul1 >> 15u, 16);
     out2 = (q15_t) __SSAT(mul2 >> 15u, 16);

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/ComplexMathFunctions/arm_cmplx_mult_real_q31.c
--- a/cmsis_dsp/ComplexMathFunctions/arm_cmplx_mult_real_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/ComplexMathFunctions/arm_cmplx_mult_real_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_cmplx_mult_real_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/ControllerFunctions/arm_pid_init_f32.c
--- a/cmsis_dsp/ControllerFunctions/arm_pid_init_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/ControllerFunctions/arm_pid_init_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_pid_init_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/ControllerFunctions/arm_pid_init_q15.c
--- a/cmsis_dsp/ControllerFunctions/arm_pid_init_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/ControllerFunctions/arm_pid_init_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_pid_init_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/ControllerFunctions/arm_pid_init_q31.c
--- a/cmsis_dsp/ControllerFunctions/arm_pid_init_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/ControllerFunctions/arm_pid_init_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_pid_init_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/ControllerFunctions/arm_pid_reset_f32.c
--- a/cmsis_dsp/ControllerFunctions/arm_pid_reset_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/ControllerFunctions/arm_pid_reset_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_pid_reset_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/ControllerFunctions/arm_pid_reset_q15.c
--- a/cmsis_dsp/ControllerFunctions/arm_pid_reset_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/ControllerFunctions/arm_pid_reset_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_pid_reset_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/ControllerFunctions/arm_pid_reset_q31.c
--- a/cmsis_dsp/ControllerFunctions/arm_pid_reset_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/ControllerFunctions/arm_pid_reset_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_pid_reset_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/ControllerFunctions/arm_sin_cos_f32.c
--- a/cmsis_dsp/ControllerFunctions/arm_sin_cos_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/ControllerFunctions/arm_sin_cos_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_sin_cos_f32.c    
@@ -39,6 +39,7 @@
 * -------------------------------------------------------------------- */
 
 #include "arm_math.h"
+#include "arm_common_tables.h"
 
 /**    
  * @ingroup groupController    
@@ -52,7 +53,10 @@
  * There are separate functions for Q31 and floating-point data types.   
  * The input to the floating-point version is in degrees while the   
  * fixed-point Q31 have a scaled input with the range   
- * [-1 0.9999] mapping to [-180 179] degrees.   
+ * [-1 0.9999] mapping to [-180 +180] degrees.   
+ *
+ * The floating point function also allows values that are out of the usual range. When this happens, the function will
+ * take extra time to adjust the input value to the range of [-180 180].
  *   
  * The implementation is based on table lookup using 360 values together with linear interpolation.   
  * The steps used are:   
@@ -69,303 +73,6 @@
  * @{    
  */
 
-
-/**    
-* \par    
-* Cosine Table is generated from following loop    
-* <pre>for(i = 0; i < 360; i++)    
-* {    
-*    cosTable[i]= cos((i-180) * PI/180.0);    
-* } </pre>   
-*/
-
-static const float32_t cosTable[360] = {
-  -0.999847695156391270f, -0.999390827019095760f, -0.998629534754573830f,
-  -0.997564050259824200f, -0.996194698091745550f, -0.994521895368273290f,
-  -0.992546151641321980f, -0.990268068741570250f,
-  -0.987688340595137660f, -0.984807753012208020f, -0.981627183447663980f,
-  -0.978147600733805690f, -0.974370064785235250f, -0.970295726275996470f,
-  -0.965925826289068200f, -0.961261695938318670f,
-  -0.956304755963035440f, -0.951056516295153530f, -0.945518575599316740f,
-  -0.939692620785908320f, -0.933580426497201740f, -0.927183854566787310f,
-  -0.920504853452440150f, -0.913545457642600760f,
-  -0.906307787036649940f, -0.898794046299167040f, -0.891006524188367790f,
-  -0.882947592858926770f, -0.874619707139395740f, -0.866025403784438710f,
-  -0.857167300702112220f, -0.848048096156425960f,
-  -0.838670567945424160f, -0.829037572555041620f, -0.819152044288991580f,
-  -0.809016994374947340f, -0.798635510047292940f, -0.788010753606721900f,
-  -0.777145961456970680f, -0.766044443118977900f,
-  -0.754709580222772010f, -0.743144825477394130f, -0.731353701619170460f,
-  -0.719339800338651300f, -0.707106781186547460f, -0.694658370458997030f,
-  -0.681998360062498370f, -0.669130606358858240f,
-  -0.656059028990507500f, -0.642787609686539360f, -0.629320391049837280f,
-  -0.615661475325658290f, -0.601815023152048380f, -0.587785252292473030f,
-  -0.573576436351045830f, -0.559192903470746680f,
-  -0.544639035015027080f, -0.529919264233204790f, -0.515038074910054270f,
-  -0.499999999999999780f, -0.484809620246337000f, -0.469471562785890530f,
-  -0.453990499739546750f, -0.438371146789077510f,
-  -0.422618261740699330f, -0.406736643075800100f, -0.390731128489273600f,
-  -0.374606593415912070f, -0.358367949545300270f, -0.342020143325668710f,
-  -0.325568154457156420f, -0.309016994374947340f,
-  -0.292371704722736660f, -0.275637355816999050f, -0.258819045102520850f,
-  -0.241921895599667790f, -0.224951054343864810f, -0.207911690817759120f,
-  -0.190808995376544800f, -0.173648177666930300f,
-  -0.156434465040231040f, -0.139173100960065350f, -0.121869343405147370f,
-  -0.104528463267653330f, -0.087155742747658235f, -0.069756473744125330f,
-  -0.052335956242943620f, -0.034899496702500733f,
-  -0.017452406437283477f, 0.000000000000000061f, 0.017452406437283376f,
-  0.034899496702501080f, 0.052335956242943966f, 0.069756473744125455f,
-  0.087155742747658138f, 0.104528463267653460f,
-  0.121869343405147490f, 0.139173100960065690f, 0.156434465040230920f,
-  0.173648177666930410f, 0.190808995376544920f, 0.207911690817759450f,
-  0.224951054343864920f, 0.241921895599667900f,
-  0.258819045102520740f, 0.275637355816999160f, 0.292371704722736770f,
-  0.309016994374947450f, 0.325568154457156760f, 0.342020143325668820f,
-  0.358367949545300380f, 0.374606593415911960f,
-  0.390731128489273940f, 0.406736643075800210f, 0.422618261740699440f,
-  0.438371146789077460f, 0.453990499739546860f, 0.469471562785890860f,
-  0.484809620246337110f, 0.500000000000000110f,
-  0.515038074910054380f, 0.529919264233204900f, 0.544639035015027200f,
-  0.559192903470746790f, 0.573576436351046050f, 0.587785252292473140f,
-  0.601815023152048270f, 0.615661475325658290f,
-  0.629320391049837500f, 0.642787609686539360f, 0.656059028990507280f,
-  0.669130606358858240f, 0.681998360062498480f, 0.694658370458997370f,
-  0.707106781186547570f, 0.719339800338651190f,
-  0.731353701619170570f, 0.743144825477394240f, 0.754709580222772010f,
-  0.766044443118978010f, 0.777145961456970900f, 0.788010753606722010f,
-  0.798635510047292830f, 0.809016994374947450f,
-  0.819152044288991800f, 0.829037572555041620f, 0.838670567945424050f,
-  0.848048096156425960f, 0.857167300702112330f, 0.866025403784438710f,
-  0.874619707139395740f, 0.882947592858926990f,
-  0.891006524188367900f, 0.898794046299167040f, 0.906307787036649940f,
-  0.913545457642600870f, 0.920504853452440370f, 0.927183854566787420f,
-  0.933580426497201740f, 0.939692620785908430f,
-  0.945518575599316850f, 0.951056516295153530f, 0.956304755963035440f,
-  0.961261695938318890f, 0.965925826289068310f, 0.970295726275996470f,
-  0.974370064785235250f, 0.978147600733805690f,
-  0.981627183447663980f, 0.984807753012208020f, 0.987688340595137770f,
-  0.990268068741570360f, 0.992546151641321980f, 0.994521895368273290f,
-  0.996194698091745550f, 0.997564050259824200f,
-  0.998629534754573830f, 0.999390827019095760f, 0.999847695156391270f,
-  1.000000000000000000f, 0.999847695156391270f, 0.999390827019095760f,
-  0.998629534754573830f, 0.997564050259824200f,
-  0.996194698091745550f, 0.994521895368273290f, 0.992546151641321980f,
-  0.990268068741570360f, 0.987688340595137770f, 0.984807753012208020f,
-  0.981627183447663980f, 0.978147600733805690f,
-  0.974370064785235250f, 0.970295726275996470f, 0.965925826289068310f,
-  0.961261695938318890f, 0.956304755963035440f, 0.951056516295153530f,
-  0.945518575599316850f, 0.939692620785908430f,
-  0.933580426497201740f, 0.927183854566787420f, 0.920504853452440370f,
-  0.913545457642600870f, 0.906307787036649940f, 0.898794046299167040f,
-  0.891006524188367900f, 0.882947592858926990f,
-  0.874619707139395740f, 0.866025403784438710f, 0.857167300702112330f,
-  0.848048096156425960f, 0.838670567945424050f, 0.829037572555041620f,
-  0.819152044288991800f, 0.809016994374947450f,
-  0.798635510047292830f, 0.788010753606722010f, 0.777145961456970900f,
-  0.766044443118978010f, 0.754709580222772010f, 0.743144825477394240f,
-  0.731353701619170570f, 0.719339800338651190f,
-  0.707106781186547570f, 0.694658370458997370f, 0.681998360062498480f,
-  0.669130606358858240f, 0.656059028990507280f, 0.642787609686539360f,
-  0.629320391049837500f, 0.615661475325658290f,
-  0.601815023152048270f, 0.587785252292473140f, 0.573576436351046050f,
-  0.559192903470746790f, 0.544639035015027200f, 0.529919264233204900f,
-  0.515038074910054380f, 0.500000000000000110f,
-  0.484809620246337110f, 0.469471562785890860f, 0.453990499739546860f,
-  0.438371146789077460f, 0.422618261740699440f, 0.406736643075800210f,
-  0.390731128489273940f, 0.374606593415911960f,
-  0.358367949545300380f, 0.342020143325668820f, 0.325568154457156760f,
-  0.309016994374947450f, 0.292371704722736770f, 0.275637355816999160f,
-  0.258819045102520740f, 0.241921895599667900f,
-  0.224951054343864920f, 0.207911690817759450f, 0.190808995376544920f,
-  0.173648177666930410f, 0.156434465040230920f, 0.139173100960065690f,
-  0.121869343405147490f, 0.104528463267653460f,
-  0.087155742747658138f, 0.069756473744125455f, 0.052335956242943966f,
-  0.034899496702501080f, 0.017452406437283376f, 0.000000000000000061f,
-  -0.017452406437283477f, -0.034899496702500733f,
-  -0.052335956242943620f, -0.069756473744125330f, -0.087155742747658235f,
-  -0.104528463267653330f, -0.121869343405147370f, -0.139173100960065350f,
-  -0.156434465040231040f, -0.173648177666930300f,
-  -0.190808995376544800f, -0.207911690817759120f, -0.224951054343864810f,
-  -0.241921895599667790f, -0.258819045102520850f, -0.275637355816999050f,
-  -0.292371704722736660f, -0.309016994374947340f,
-  -0.325568154457156420f, -0.342020143325668710f, -0.358367949545300270f,
-  -0.374606593415912070f, -0.390731128489273600f, -0.406736643075800100f,
-  -0.422618261740699330f, -0.438371146789077510f,
-  -0.453990499739546750f, -0.469471562785890530f, -0.484809620246337000f,
-  -0.499999999999999780f, -0.515038074910054270f, -0.529919264233204790f,
-  -0.544639035015027080f, -0.559192903470746680f,
-  -0.573576436351045830f, -0.587785252292473030f, -0.601815023152048380f,
-  -0.615661475325658290f, -0.629320391049837280f, -0.642787609686539360f,
-  -0.656059028990507500f, -0.669130606358858240f,
-  -0.681998360062498370f, -0.694658370458997030f, -0.707106781186547460f,
-  -0.719339800338651300f, -0.731353701619170460f, -0.743144825477394130f,
-  -0.754709580222772010f, -0.766044443118977900f,
-  -0.777145961456970680f, -0.788010753606721900f, -0.798635510047292940f,
-  -0.809016994374947340f, -0.819152044288991580f, -0.829037572555041620f,
-  -0.838670567945424160f, -0.848048096156425960f,
-  -0.857167300702112220f, -0.866025403784438710f, -0.874619707139395740f,
-  -0.882947592858926770f, -0.891006524188367790f, -0.898794046299167040f,
-  -0.906307787036649940f, -0.913545457642600760f,
-  -0.920504853452440150f, -0.927183854566787310f, -0.933580426497201740f,
-  -0.939692620785908320f, -0.945518575599316740f, -0.951056516295153530f,
-  -0.956304755963035440f, -0.961261695938318670f,
-  -0.965925826289068200f, -0.970295726275996470f, -0.974370064785235250f,
-  -0.978147600733805690f, -0.981627183447663980f, -0.984807753012208020f,
-  -0.987688340595137660f, -0.990268068741570250f,
-  -0.992546151641321980f, -0.994521895368273290f, -0.996194698091745550f,
-  -0.997564050259824200f, -0.998629534754573830f, -0.999390827019095760f,
-  -0.999847695156391270f, -1.000000000000000000f
-};
-
-/**    
-* \par    
-* Sine Table is generated from following loop    
-* <pre>for(i = 0; i < 360; i++)    
-* {    
-*    sinTable[i]= sin((i-180) * PI/180.0);    
-* } </pre>    
-*/
-
-
-static const float32_t sinTable[360] = {
-  -0.017452406437283439f, -0.034899496702500699f, -0.052335956242943807f,
-  -0.069756473744125524f, -0.087155742747658638f, -0.104528463267653730f,
-  -0.121869343405147550f, -0.139173100960065740f,
-  -0.156434465040230980f, -0.173648177666930280f, -0.190808995376544970f,
-  -0.207911690817759310f, -0.224951054343864780f, -0.241921895599667730f,
-  -0.258819045102521020f, -0.275637355816999660f,
-  -0.292371704722737050f, -0.309016994374947510f, -0.325568154457156980f,
-  -0.342020143325668880f, -0.358367949545300210f, -0.374606593415912240f,
-  -0.390731128489274160f, -0.406736643075800430f,
-  -0.422618261740699500f, -0.438371146789077290f, -0.453990499739546860f,
-  -0.469471562785891080f, -0.484809620246337170f, -0.499999999999999940f,
-  -0.515038074910054380f, -0.529919264233204900f,
-  -0.544639035015026860f, -0.559192903470746900f, -0.573576436351046380f,
-  -0.587785252292473250f, -0.601815023152048160f, -0.615661475325658400f,
-  -0.629320391049837720f, -0.642787609686539470f,
-  -0.656059028990507280f, -0.669130606358858350f, -0.681998360062498590f,
-  -0.694658370458997140f, -0.707106781186547570f, -0.719339800338651410f,
-  -0.731353701619170570f, -0.743144825477394240f,
-  -0.754709580222771790f, -0.766044443118978010f, -0.777145961456971010f,
-  -0.788010753606722010f, -0.798635510047292720f, -0.809016994374947450f,
-  -0.819152044288992020f, -0.829037572555041740f,
-  -0.838670567945424050f, -0.848048096156426070f, -0.857167300702112330f,
-  -0.866025403784438710f, -0.874619707139395850f, -0.882947592858927100f,
-  -0.891006524188367900f, -0.898794046299166930f,
-  -0.906307787036650050f, -0.913545457642600980f, -0.920504853452440370f,
-  -0.927183854566787420f, -0.933580426497201740f, -0.939692620785908430f,
-  -0.945518575599316850f, -0.951056516295153640f,
-  -0.956304755963035550f, -0.961261695938318890f, -0.965925826289068310f,
-  -0.970295726275996470f, -0.974370064785235250f, -0.978147600733805690f,
-  -0.981627183447663980f, -0.984807753012208020f,
-  -0.987688340595137660f, -0.990268068741570360f, -0.992546151641322090f,
-  -0.994521895368273400f, -0.996194698091745550f, -0.997564050259824200f,
-  -0.998629534754573830f, -0.999390827019095760f,
-  -0.999847695156391270f, -1.000000000000000000f, -0.999847695156391270f,
-  -0.999390827019095760f, -0.998629534754573830f, -0.997564050259824200f,
-  -0.996194698091745550f, -0.994521895368273290f,
-  -0.992546151641321980f, -0.990268068741570250f, -0.987688340595137770f,
-  -0.984807753012208020f, -0.981627183447663980f, -0.978147600733805580f,
-  -0.974370064785235250f, -0.970295726275996470f,
-  -0.965925826289068310f, -0.961261695938318890f, -0.956304755963035440f,
-  -0.951056516295153530f, -0.945518575599316740f, -0.939692620785908320f,
-  -0.933580426497201740f, -0.927183854566787420f,
-  -0.920504853452440260f, -0.913545457642600870f, -0.906307787036649940f,
-  -0.898794046299167040f, -0.891006524188367790f, -0.882947592858926880f,
-  -0.874619707139395740f, -0.866025403784438600f,
-  -0.857167300702112220f, -0.848048096156426070f, -0.838670567945423940f,
-  -0.829037572555041740f, -0.819152044288991800f, -0.809016994374947450f,
-  -0.798635510047292830f, -0.788010753606722010f,
-  -0.777145961456970790f, -0.766044443118978010f, -0.754709580222772010f,
-  -0.743144825477394240f, -0.731353701619170460f, -0.719339800338651080f,
-  -0.707106781186547460f, -0.694658370458997250f,
-  -0.681998360062498480f, -0.669130606358858240f, -0.656059028990507160f,
-  -0.642787609686539250f, -0.629320391049837390f, -0.615661475325658180f,
-  -0.601815023152048270f, -0.587785252292473140f,
-  -0.573576436351046050f, -0.559192903470746900f, -0.544639035015027080f,
-  -0.529919264233204900f, -0.515038074910054160f, -0.499999999999999940f,
-  -0.484809620246337060f, -0.469471562785890810f,
-  -0.453990499739546750f, -0.438371146789077400f, -0.422618261740699440f,
-  -0.406736643075800150f, -0.390731128489273720f, -0.374606593415912010f,
-  -0.358367949545300270f, -0.342020143325668710f,
-  -0.325568154457156640f, -0.309016994374947400f, -0.292371704722736770f,
-  -0.275637355816999160f, -0.258819045102520740f, -0.241921895599667730f,
-  -0.224951054343865000f, -0.207911690817759310f,
-  -0.190808995376544800f, -0.173648177666930330f, -0.156434465040230870f,
-  -0.139173100960065440f, -0.121869343405147480f, -0.104528463267653460f,
-  -0.087155742747658166f, -0.069756473744125302f,
-  -0.052335956242943828f, -0.034899496702500969f, -0.017452406437283512f,
-  0.000000000000000000f, 0.017452406437283512f, 0.034899496702500969f,
-  0.052335956242943828f, 0.069756473744125302f,
-  0.087155742747658166f, 0.104528463267653460f, 0.121869343405147480f,
-  0.139173100960065440f, 0.156434465040230870f, 0.173648177666930330f,
-  0.190808995376544800f, 0.207911690817759310f,
-  0.224951054343865000f, 0.241921895599667730f, 0.258819045102520740f,
-  0.275637355816999160f, 0.292371704722736770f, 0.309016994374947400f,
-  0.325568154457156640f, 0.342020143325668710f,
-  0.358367949545300270f, 0.374606593415912010f, 0.390731128489273720f,
-  0.406736643075800150f, 0.422618261740699440f, 0.438371146789077400f,
-  0.453990499739546750f, 0.469471562785890810f,
-  0.484809620246337060f, 0.499999999999999940f, 0.515038074910054160f,
-  0.529919264233204900f, 0.544639035015027080f, 0.559192903470746900f,
-  0.573576436351046050f, 0.587785252292473140f,
-  0.601815023152048270f, 0.615661475325658180f, 0.629320391049837390f,
-  0.642787609686539250f, 0.656059028990507160f, 0.669130606358858240f,
-  0.681998360062498480f, 0.694658370458997250f,
-  0.707106781186547460f, 0.719339800338651080f, 0.731353701619170460f,
-  0.743144825477394240f, 0.754709580222772010f, 0.766044443118978010f,
-  0.777145961456970790f, 0.788010753606722010f,
-  0.798635510047292830f, 0.809016994374947450f, 0.819152044288991800f,
-  0.829037572555041740f, 0.838670567945423940f, 0.848048096156426070f,
-  0.857167300702112220f, 0.866025403784438600f,
-  0.874619707139395740f, 0.882947592858926880f, 0.891006524188367790f,
-  0.898794046299167040f, 0.906307787036649940f, 0.913545457642600870f,
-  0.920504853452440260f, 0.927183854566787420f,
-  0.933580426497201740f, 0.939692620785908320f, 0.945518575599316740f,
-  0.951056516295153530f, 0.956304755963035440f, 0.961261695938318890f,
-  0.965925826289068310f, 0.970295726275996470f,
-  0.974370064785235250f, 0.978147600733805580f, 0.981627183447663980f,
-  0.984807753012208020f, 0.987688340595137770f, 0.990268068741570250f,
-  0.992546151641321980f, 0.994521895368273290f,
-  0.996194698091745550f, 0.997564050259824200f, 0.998629534754573830f,
-  0.999390827019095760f, 0.999847695156391270f, 1.000000000000000000f,
-  0.999847695156391270f, 0.999390827019095760f,
-  0.998629534754573830f, 0.997564050259824200f, 0.996194698091745550f,
-  0.994521895368273400f, 0.992546151641322090f, 0.990268068741570360f,
-  0.987688340595137660f, 0.984807753012208020f,
-  0.981627183447663980f, 0.978147600733805690f, 0.974370064785235250f,
-  0.970295726275996470f, 0.965925826289068310f, 0.961261695938318890f,
-  0.956304755963035550f, 0.951056516295153640f,
-  0.945518575599316850f, 0.939692620785908430f, 0.933580426497201740f,
-  0.927183854566787420f, 0.920504853452440370f, 0.913545457642600980f,
-  0.906307787036650050f, 0.898794046299166930f,
-  0.891006524188367900f, 0.882947592858927100f, 0.874619707139395850f,
-  0.866025403784438710f, 0.857167300702112330f, 0.848048096156426070f,
-  0.838670567945424050f, 0.829037572555041740f,
-  0.819152044288992020f, 0.809016994374947450f, 0.798635510047292720f,
-  0.788010753606722010f, 0.777145961456971010f, 0.766044443118978010f,
-  0.754709580222771790f, 0.743144825477394240f,
-  0.731353701619170570f, 0.719339800338651410f, 0.707106781186547570f,
-  0.694658370458997140f, 0.681998360062498590f, 0.669130606358858350f,
-  0.656059028990507280f, 0.642787609686539470f,
-  0.629320391049837720f, 0.615661475325658400f, 0.601815023152048160f,
-  0.587785252292473250f, 0.573576436351046380f, 0.559192903470746900f,
-  0.544639035015026860f, 0.529919264233204900f,
-  0.515038074910054380f, 0.499999999999999940f, 0.484809620246337170f,
-  0.469471562785891080f, 0.453990499739546860f, 0.438371146789077290f,
-  0.422618261740699500f, 0.406736643075800430f,
-  0.390731128489274160f, 0.374606593415912240f, 0.358367949545300210f,
-  0.342020143325668880f, 0.325568154457156980f, 0.309016994374947510f,
-  0.292371704722737050f, 0.275637355816999660f,
-  0.258819045102521020f, 0.241921895599667730f, 0.224951054343864780f,
-  0.207911690817759310f, 0.190808995376544970f, 0.173648177666930280f,
-  0.156434465040230980f, 0.139173100960065740f,
-  0.121869343405147550f, 0.104528463267653730f, 0.087155742747658638f,
-  0.069756473744125524f, 0.052335956242943807f, 0.034899496702500699f,
-  0.017452406437283439f, 0.000000000000000122f
-};
-
-
 /**    
  * @brief  Floating-point sin_cos function.   
  * @param[in]  theta    input value in degrees    
@@ -374,63 +81,69 @@
  * @return none.   
  */
 
-
 void arm_sin_cos_f32(
   float32_t theta,
   float32_t * pSinVal,
   float32_t * pCosVal)
 {
-  int32_t i;                                     /* Index for reading nearwst output values */
-  float32_t x1 = -179.0f;                        /* Initial input value */
-  float32_t y0, y1;                              /* nearest output values */
-  float32_t y2, y3;
-  float32_t fract;                               /* fractional part of input */
+  float32_t fract, in;                             /* Temporary variables for input, output */
+  uint16_t indexS, indexC;                         /* Index variable */
+  float32_t f1, f2, d1, d2;                        /* Two nearest output values */
+  int32_t n;
+  float32_t findex, Dn, Df, temp;
 
-  /* Calculation of fractional part */
-  if(theta > 0.0f)
-  {
-    fract = theta - (float32_t) ((int32_t) theta);
-  }
-  else
-  {
-    fract = (theta - (float32_t) ((int32_t) theta)) + 1.0f;
-  }
+  /* input x is in degrees */
+  /* Scale the input, divide input by 360, for cosine add 0.25 (pi/2) to read sine table */
+  in = theta * 0.00277777777778f;
 
-  /* index calculation for reading nearest output values */
-  i = (uint32_t) (theta - x1);
+  /* Calculation of floor value of input */
+  n = (int32_t) in;
 
-  /* Checking min and max index of table */
-  if(i < 0)
+  /* Make negative values towards -infinity */
+  if(in < 0.0f)
   {
-    i = 0;
+    n--;
   }
-  else if(i >= 359)
-  {
-    i = 358;
-  }
+  /* Map input value to [0 1] */
+  in = in - (float32_t) n;
 
-  /* reading nearest sine output values */
-  y0 = sinTable[i];
-  y1 = sinTable[i + 1u];
+  /* Calculation of index of the table */
+  findex = (float32_t) FAST_MATH_TABLE_SIZE * in;
+  indexS = ((uint16_t)findex) & 0x1ff;
+  indexC = (indexS + (FAST_MATH_TABLE_SIZE / 4)) & 0x1ff;
 
-  /* reading nearest cosine output values */
-  y2 = cosTable[i];
-  y3 = cosTable[i + 1u];
+  /* fractional value calculation */
+  fract = findex - (float32_t) indexS;
 
-  y1 = y1 - y0;
-  y3 = y3 - y2;
+  /* Read two nearest values of input value from the cos & sin tables */
+  f1 = sinTable_f32[indexC+0];
+  f2 = sinTable_f32[indexC+1];
+  d1 = -sinTable_f32[indexS+0];
+  d2 = -sinTable_f32[indexS+1];
 
-  y1 = fract * y1;
-  y3 = fract * y3;
-
-  /* Calculation of sine value */
-  *pSinVal = y0 + y1;
+  Dn = 0.0122718463030f; // delta between the two points (fixed), in this case 2*pi/FAST_MATH_TABLE_SIZE
+  Df = f2 - f1; // delta between the values of the functions
+  temp = Dn*(d1 + d2) - 2*Df;
+  temp = fract*temp + (3*Df - (d2 + 2*d1)*Dn);
+  temp = fract*temp + d1*Dn;
 
   /* Calculation of cosine value */
-  *pCosVal = y2 + y3;
+  *pCosVal = fract*temp + f1;
+  
+  /* Read two nearest values of input value from the cos & sin tables */
+  f1 = sinTable_f32[indexS+0];
+  f2 = sinTable_f32[indexS+1];
+  d1 = sinTable_f32[indexC+0];
+  d2 = sinTable_f32[indexC+1];
 
+  Df = f2 - f1; // delta between the values of the functions
+  temp = Dn*(d1 + d2) - 2*Df;
+  temp = fract*temp + (3*Df - (d2 + 2*d1)*Dn);
+  temp = fract*temp + d1*Dn;
+  
+  /* Calculation of sine value */
+  *pSinVal = fract*temp + f1;
 }
-
 /**    
  * @} end of SinCos group    
  */

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/ControllerFunctions/arm_sin_cos_q31.c
--- a/cmsis_dsp/ControllerFunctions/arm_sin_cos_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/ControllerFunctions/arm_sin_cos_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_sin_cos_q31.c    
@@ -39,6 +39,7 @@
 * -------------------------------------------------------------------- */
 
 #include "arm_math.h"
+#include "arm_common_tables.h"
 
 /**    
  * @ingroup groupController    
@@ -50,217 +51,6 @@
  */
 
 /**    
-* \par    
-* Sine Table is generated from following loop    
-* <pre>for(i = 0; i < 360; i++)    
-* {    
-*    sinTable[i]= sin((i-180) * PI/180.0);    
-* } </pre>   
-* Convert above coefficients to fixed point 1.31 format.    
-*/
-
-static const int32_t sinTableQ31[360] = {
-
-  0x0, 0xfdc41e9b, 0xfb8869ce, 0xf94d0e2e, 0xf7123849, 0xf4d814a4, 0xf29ecfb2,
-  0xf06695da,
-  0xee2f9369, 0xebf9f498, 0xe9c5e582, 0xe7939223, 0xe5632654, 0xe334cdc9,
-  0xe108b40d, 0xdedf047d,
-  0xdcb7ea46, 0xda939061, 0xd8722192, 0xd653c860, 0xd438af17, 0xd220ffc0,
-  0xd00ce422, 0xcdfc85bb,
-  0xcbf00dbe, 0xc9e7a512, 0xc7e3744b, 0xc5e3a3a9, 0xc3e85b18, 0xc1f1c224,
-  0xc0000000, 0xbe133b7c,
-  0xbc2b9b05, 0xba4944a2, 0xb86c5df0, 0xb6950c1e, 0xb4c373ee, 0xb2f7b9af,
-  0xb1320139, 0xaf726def,
-  0xadb922b7, 0xac0641fb, 0xaa59eda4, 0xa8b4471a, 0xa7156f3c, 0xa57d8666,
-  0xa3ecac65, 0xa263007d,
-  0xa0e0a15f, 0x9f65ad2d, 0x9df24175, 0x9c867b2c, 0x9b2276b0, 0x99c64fc5,
-  0x98722192, 0x9726069c,
-  0x95e218c9, 0x94a6715d, 0x937328f5, 0x92485786, 0x9126145f, 0x900c7621,
-  0x8efb92c2, 0x8df37f8b,
-  0x8cf45113, 0x8bfe1b3f, 0x8b10f144, 0x8a2ce59f, 0x89520a1a, 0x88806fc4,
-  0x87b826f7, 0x86f93f50,
-  0x8643c7b3, 0x8597ce46, 0x84f56073, 0x845c8ae3, 0x83cd5982, 0x8347d77b,
-  0x82cc0f36, 0x825a0a5b,
-  0x81f1d1ce, 0x81936daf, 0x813ee55b, 0x80f43f69, 0x80b381ac, 0x807cb130,
-  0x804fd23a, 0x802ce84c,
-  0x8013f61d, 0x8004fda0, 0x80000000, 0x8004fda0, 0x8013f61d, 0x802ce84c,
-  0x804fd23a, 0x807cb130,
-  0x80b381ac, 0x80f43f69, 0x813ee55b, 0x81936daf, 0x81f1d1ce, 0x825a0a5b,
-  0x82cc0f36, 0x8347d77b,
-  0x83cd5982, 0x845c8ae3, 0x84f56073, 0x8597ce46, 0x8643c7b3, 0x86f93f50,
-  0x87b826f7, 0x88806fc4,
-  0x89520a1a, 0x8a2ce59f, 0x8b10f144, 0x8bfe1b3f, 0x8cf45113, 0x8df37f8b,
-  0x8efb92c2, 0x900c7621,
-  0x9126145f, 0x92485786, 0x937328f5, 0x94a6715d, 0x95e218c9, 0x9726069c,
-  0x98722192, 0x99c64fc5,
-  0x9b2276b0, 0x9c867b2c, 0x9df24175, 0x9f65ad2d, 0xa0e0a15f, 0xa263007d,
-  0xa3ecac65, 0xa57d8666,
-  0xa7156f3c, 0xa8b4471a, 0xaa59eda4, 0xac0641fb, 0xadb922b7, 0xaf726def,
-  0xb1320139, 0xb2f7b9af,
-  0xb4c373ee, 0xb6950c1e, 0xb86c5df0, 0xba4944a2, 0xbc2b9b05, 0xbe133b7c,
-  0xc0000000, 0xc1f1c224,
-  0xc3e85b18, 0xc5e3a3a9, 0xc7e3744b, 0xc9e7a512, 0xcbf00dbe, 0xcdfc85bb,
-  0xd00ce422, 0xd220ffc0,
-  0xd438af17, 0xd653c860, 0xd8722192, 0xda939061, 0xdcb7ea46, 0xdedf047d,
-  0xe108b40d, 0xe334cdc9,
-  0xe5632654, 0xe7939223, 0xe9c5e582, 0xebf9f498, 0xee2f9369, 0xf06695da,
-  0xf29ecfb2, 0xf4d814a4,
-  0xf7123849, 0xf94d0e2e, 0xfb8869ce, 0xfdc41e9b, 0x0, 0x23be165, 0x4779632,
-  0x6b2f1d2,
-  0x8edc7b7, 0xb27eb5c, 0xd61304e, 0xf996a26, 0x11d06c97, 0x14060b68,
-  0x163a1a7e, 0x186c6ddd,
-  0x1a9cd9ac, 0x1ccb3237, 0x1ef74bf3, 0x2120fb83, 0x234815ba, 0x256c6f9f,
-  0x278dde6e, 0x29ac37a0,
-  0x2bc750e9, 0x2ddf0040, 0x2ff31bde, 0x32037a45, 0x340ff242, 0x36185aee,
-  0x381c8bb5, 0x3a1c5c57,
-  0x3c17a4e8, 0x3e0e3ddc, 0x40000000, 0x41ecc484, 0x43d464fb, 0x45b6bb5e,
-  0x4793a210, 0x496af3e2,
-  0x4b3c8c12, 0x4d084651, 0x4ecdfec7, 0x508d9211, 0x5246dd49, 0x53f9be05,
-  0x55a6125c, 0x574bb8e6,
-  0x58ea90c4, 0x5a82799a, 0x5c13539b, 0x5d9cff83, 0x5f1f5ea1, 0x609a52d3,
-  0x620dbe8b, 0x637984d4,
-  0x64dd8950, 0x6639b03b, 0x678dde6e, 0x68d9f964, 0x6a1de737, 0x6b598ea3,
-  0x6c8cd70b, 0x6db7a87a,
-  0x6ed9eba1, 0x6ff389df, 0x71046d3e, 0x720c8075, 0x730baeed, 0x7401e4c1,
-  0x74ef0ebc, 0x75d31a61,
-  0x76adf5e6, 0x777f903c, 0x7847d909, 0x7906c0b0, 0x79bc384d, 0x7a6831ba,
-  0x7b0a9f8d, 0x7ba3751d,
-  0x7c32a67e, 0x7cb82885, 0x7d33f0ca, 0x7da5f5a5, 0x7e0e2e32, 0x7e6c9251,
-  0x7ec11aa5, 0x7f0bc097,
-  0x7f4c7e54, 0x7f834ed0, 0x7fb02dc6, 0x7fd317b4, 0x7fec09e3, 0x7ffb0260,
-  0x7fffffff, 0x7ffb0260,
-  0x7fec09e3, 0x7fd317b4, 0x7fb02dc6, 0x7f834ed0, 0x7f4c7e54, 0x7f0bc097,
-  0x7ec11aa5, 0x7e6c9251,
-  0x7e0e2e32, 0x7da5f5a5, 0x7d33f0ca, 0x7cb82885, 0x7c32a67e, 0x7ba3751d,
-  0x7b0a9f8d, 0x7a6831ba,
-  0x79bc384d, 0x7906c0b0, 0x7847d909, 0x777f903c, 0x76adf5e6, 0x75d31a61,
-  0x74ef0ebc, 0x7401e4c1,
-  0x730baeed, 0x720c8075, 0x71046d3e, 0x6ff389df, 0x6ed9eba1, 0x6db7a87a,
-  0x6c8cd70b, 0x6b598ea3,
-  0x6a1de737, 0x68d9f964, 0x678dde6e, 0x6639b03b, 0x64dd8950, 0x637984d4,
-  0x620dbe8b, 0x609a52d3,
-  0x5f1f5ea1, 0x5d9cff83, 0x5c13539b, 0x5a82799a, 0x58ea90c4, 0x574bb8e6,
-  0x55a6125c, 0x53f9be05,
-  0x5246dd49, 0x508d9211, 0x4ecdfec7, 0x4d084651, 0x4b3c8c12, 0x496af3e2,
-  0x4793a210, 0x45b6bb5e,
-  0x43d464fb, 0x41ecc484, 0x40000000, 0x3e0e3ddc, 0x3c17a4e8, 0x3a1c5c57,
-  0x381c8bb5, 0x36185aee,
-  0x340ff242, 0x32037a45, 0x2ff31bde, 0x2ddf0040, 0x2bc750e9, 0x29ac37a0,
-  0x278dde6e, 0x256c6f9f,
-  0x234815ba, 0x2120fb83, 0x1ef74bf3, 0x1ccb3237, 0x1a9cd9ac, 0x186c6ddd,
-  0x163a1a7e, 0x14060b68,
-  0x11d06c97, 0xf996a26, 0xd61304e, 0xb27eb5c, 0x8edc7b7, 0x6b2f1d2,
-  0x4779632, 0x23be165,
-
-
-};
-
-/**    
-* \par    
-* Cosine Table is generated from following loop    
-* <pre>for(i = 0; i < 360; i++)    
-* {    
-*    cosTable[i]= cos((i-180) * PI/180.0);    
-* } </pre>   
-* \par    
-* Convert above coefficients to fixed point 1.31 format.    
-*/
-static const int32_t cosTableQ31[360] = {
-  0x80000000, 0x8004fda0, 0x8013f61d, 0x802ce84c, 0x804fd23a, 0x807cb130,
-  0x80b381ac, 0x80f43f69,
-  0x813ee55b, 0x81936daf, 0x81f1d1ce, 0x825a0a5b, 0x82cc0f36, 0x8347d77b,
-  0x83cd5982, 0x845c8ae3,
-  0x84f56073, 0x8597ce46, 0x8643c7b3, 0x86f93f50, 0x87b826f7, 0x88806fc4,
-  0x89520a1a, 0x8a2ce59f,
-  0x8b10f144, 0x8bfe1b3f, 0x8cf45113, 0x8df37f8b, 0x8efb92c2, 0x900c7621,
-  0x9126145f, 0x92485786,
-  0x937328f5, 0x94a6715d, 0x95e218c9, 0x9726069c, 0x98722192, 0x99c64fc5,
-  0x9b2276b0, 0x9c867b2c,
-  0x9df24175, 0x9f65ad2d, 0xa0e0a15f, 0xa263007d, 0xa3ecac65, 0xa57d8666,
-  0xa7156f3c, 0xa8b4471a,
-  0xaa59eda4, 0xac0641fb, 0xadb922b7, 0xaf726def, 0xb1320139, 0xb2f7b9af,
-  0xb4c373ee, 0xb6950c1e,
-  0xb86c5df0, 0xba4944a2, 0xbc2b9b05, 0xbe133b7c, 0xc0000000, 0xc1f1c224,
-  0xc3e85b18, 0xc5e3a3a9,
-  0xc7e3744b, 0xc9e7a512, 0xcbf00dbe, 0xcdfc85bb, 0xd00ce422, 0xd220ffc0,
-  0xd438af17, 0xd653c860,
-  0xd8722192, 0xda939061, 0xdcb7ea46, 0xdedf047d, 0xe108b40d, 0xe334cdc9,
-  0xe5632654, 0xe7939223,
-  0xe9c5e582, 0xebf9f498, 0xee2f9369, 0xf06695da, 0xf29ecfb2, 0xf4d814a4,
-  0xf7123849, 0xf94d0e2e,
-  0xfb8869ce, 0xfdc41e9b, 0x0, 0x23be165, 0x4779632, 0x6b2f1d2, 0x8edc7b7,
-  0xb27eb5c,
-  0xd61304e, 0xf996a26, 0x11d06c97, 0x14060b68, 0x163a1a7e, 0x186c6ddd,
-  0x1a9cd9ac, 0x1ccb3237,
-  0x1ef74bf3, 0x2120fb83, 0x234815ba, 0x256c6f9f, 0x278dde6e, 0x29ac37a0,
-  0x2bc750e9, 0x2ddf0040,
-  0x2ff31bde, 0x32037a45, 0x340ff242, 0x36185aee, 0x381c8bb5, 0x3a1c5c57,
-  0x3c17a4e8, 0x3e0e3ddc,
-  0x40000000, 0x41ecc484, 0x43d464fb, 0x45b6bb5e, 0x4793a210, 0x496af3e2,
-  0x4b3c8c12, 0x4d084651,
-  0x4ecdfec7, 0x508d9211, 0x5246dd49, 0x53f9be05, 0x55a6125c, 0x574bb8e6,
-  0x58ea90c4, 0x5a82799a,
-  0x5c13539b, 0x5d9cff83, 0x5f1f5ea1, 0x609a52d3, 0x620dbe8b, 0x637984d4,
-  0x64dd8950, 0x6639b03b,
-  0x678dde6e, 0x68d9f964, 0x6a1de737, 0x6b598ea3, 0x6c8cd70b, 0x6db7a87a,
-  0x6ed9eba1, 0x6ff389df,
-  0x71046d3e, 0x720c8075, 0x730baeed, 0x7401e4c1, 0x74ef0ebc, 0x75d31a61,
-  0x76adf5e6, 0x777f903c,
-  0x7847d909, 0x7906c0b0, 0x79bc384d, 0x7a6831ba, 0x7b0a9f8d, 0x7ba3751d,
-  0x7c32a67e, 0x7cb82885,
-  0x7d33f0ca, 0x7da5f5a5, 0x7e0e2e32, 0x7e6c9251, 0x7ec11aa5, 0x7f0bc097,
-  0x7f4c7e54, 0x7f834ed0,
-  0x7fb02dc6, 0x7fd317b4, 0x7fec09e3, 0x7ffb0260, 0x7fffffff, 0x7ffb0260,
-  0x7fec09e3, 0x7fd317b4,
-  0x7fb02dc6, 0x7f834ed0, 0x7f4c7e54, 0x7f0bc097, 0x7ec11aa5, 0x7e6c9251,
-  0x7e0e2e32, 0x7da5f5a5,
-  0x7d33f0ca, 0x7cb82885, 0x7c32a67e, 0x7ba3751d, 0x7b0a9f8d, 0x7a6831ba,
-  0x79bc384d, 0x7906c0b0,
-  0x7847d909, 0x777f903c, 0x76adf5e6, 0x75d31a61, 0x74ef0ebc, 0x7401e4c1,
-  0x730baeed, 0x720c8075,
-  0x71046d3e, 0x6ff389df, 0x6ed9eba1, 0x6db7a87a, 0x6c8cd70b, 0x6b598ea3,
-  0x6a1de737, 0x68d9f964,
-  0x678dde6e, 0x6639b03b, 0x64dd8950, 0x637984d4, 0x620dbe8b, 0x609a52d3,
-  0x5f1f5ea1, 0x5d9cff83,
-  0x5c13539b, 0x5a82799a, 0x58ea90c4, 0x574bb8e6, 0x55a6125c, 0x53f9be05,
-  0x5246dd49, 0x508d9211,
-  0x4ecdfec7, 0x4d084651, 0x4b3c8c12, 0x496af3e2, 0x4793a210, 0x45b6bb5e,
-  0x43d464fb, 0x41ecc484,
-  0x40000000, 0x3e0e3ddc, 0x3c17a4e8, 0x3a1c5c57, 0x381c8bb5, 0x36185aee,
-  0x340ff242, 0x32037a45,
-  0x2ff31bde, 0x2ddf0040, 0x2bc750e9, 0x29ac37a0, 0x278dde6e, 0x256c6f9f,
-  0x234815ba, 0x2120fb83,
-  0x1ef74bf3, 0x1ccb3237, 0x1a9cd9ac, 0x186c6ddd, 0x163a1a7e, 0x14060b68,
-  0x11d06c97, 0xf996a26,
-  0xd61304e, 0xb27eb5c, 0x8edc7b7, 0x6b2f1d2, 0x4779632, 0x23be165, 0x0,
-  0xfdc41e9b,
-  0xfb8869ce, 0xf94d0e2e, 0xf7123849, 0xf4d814a4, 0xf29ecfb2, 0xf06695da,
-  0xee2f9369, 0xebf9f498,
-  0xe9c5e582, 0xe7939223, 0xe5632654, 0xe334cdc9, 0xe108b40d, 0xdedf047d,
-  0xdcb7ea46, 0xda939061,
-  0xd8722192, 0xd653c860, 0xd438af17, 0xd220ffc0, 0xd00ce422, 0xcdfc85bb,
-  0xcbf00dbe, 0xc9e7a512,
-  0xc7e3744b, 0xc5e3a3a9, 0xc3e85b18, 0xc1f1c224, 0xc0000000, 0xbe133b7c,
-  0xbc2b9b05, 0xba4944a2,
-  0xb86c5df0, 0xb6950c1e, 0xb4c373ee, 0xb2f7b9af, 0xb1320139, 0xaf726def,
-  0xadb922b7, 0xac0641fb,
-  0xaa59eda4, 0xa8b4471a, 0xa7156f3c, 0xa57d8666, 0xa3ecac65, 0xa263007d,
-  0xa0e0a15f, 0x9f65ad2d,
-  0x9df24175, 0x9c867b2c, 0x9b2276b0, 0x99c64fc5, 0x98722192, 0x9726069c,
-  0x95e218c9, 0x94a6715d,
-  0x937328f5, 0x92485786, 0x9126145f, 0x900c7621, 0x8efb92c2, 0x8df37f8b,
-  0x8cf45113, 0x8bfe1b3f,
-  0x8b10f144, 0x8a2ce59f, 0x89520a1a, 0x88806fc4, 0x87b826f7, 0x86f93f50,
-  0x8643c7b3, 0x8597ce46,
-  0x84f56073, 0x845c8ae3, 0x83cd5982, 0x8347d77b, 0x82cc0f36, 0x825a0a5b,
-  0x81f1d1ce, 0x81936daf,
-  0x813ee55b, 0x80f43f69, 0x80b381ac, 0x807cb130, 0x804fd23a, 0x802ce84c,
-  0x8013f61d, 0x8004fda0,
-
-};
-
-
-/**    
  * @brief  Q31 sin_cos function.   
  * @param[in]  theta    scaled input value in degrees    
  * @param[out] *pSinVal points to the processed sine output.    
@@ -271,56 +61,60 @@
  *    
  */
 
-
 void arm_sin_cos_q31(
   q31_t theta,
   q31_t * pSinVal,
   q31_t * pCosVal)
 {
-  q31_t x0;                                      /* Nearest input value */
-  q31_t y0, y1;                                  /* Nearest output values */
-  q31_t xSpacing = INPUT_SPACING;                /* Spaing between inputs */
-  uint32_t i;                                    /* Index */
-  q31_t oneByXSpacing;                           /* 1/ xSpacing value */
-  q31_t out;                                     /* temporary variable */
-  uint32_t sign_bits;                            /* No.of sign bits */
-  uint32_t firstX = 0x80000000;                  /* First X value */
+  q31_t fract;                                 /* Temporary variables for input, output */
+  uint16_t indexS, indexC;                     /* Index variable */
+  q31_t f1, f2, d1, d2;                        /* Two nearest output values */
+  q31_t Dn, Df;
+  q63_t temp;
+  
+  /* Calculate the nearest index */
+  indexS = (uint32_t)theta >> CONTROLLER_Q31_SHIFT;
+  indexC = (indexS + 128) & 0x1ff;
 
-  /* Calculation of index */
-  i = ((uint32_t) theta - firstX) / (uint32_t) xSpacing;
-
-  /* Checking min and max index of table */
-  if(i >= 359)
-  {
-    i = 358;
-  }
-
-  /* Calculation of first nearest input value */
-  x0 = (q31_t) firstX + ((q31_t) i * xSpacing);
+  /* Calculation of fractional value */
+  fract = (theta - (indexS << CONTROLLER_Q31_SHIFT)) << 8;
+  
+  /* Read two nearest values of input value from the cos & sin tables */
+  f1 = sinTable_q31[indexC+0];
+  f2 = sinTable_q31[indexC+1];
+  d1 = -sinTable_q31[indexS+0];
+  d2 = -sinTable_q31[indexS+1];
 
-  /* Reading nearest sine output values from table */
-  y0 = sinTableQ31[i];
-  y1 = sinTableQ31[i + 1u];
-
-  /* Calculation of 1/(x1-x0) */
-  /* (x1-x0) is xSpacing which is fixed value */
-  sign_bits = 8u;
-  oneByXSpacing = 0x5A000000;
+  Dn = 0x1921FB5; // delta between the two points (fixed), in this case 2*pi/FAST_MATH_TABLE_SIZE
+  Df = f2 - f1; // delta between the values of the functions
+  temp = Dn*((q63_t)d1 + d2);
+  temp = temp - ((q63_t)Df << 32);
+  temp = (q63_t)fract*(temp >> 31);
+  temp = temp + ((3*(q63_t)Df << 31) - (d2 + ((q63_t)d1 << 1))*Dn);
+  temp = (q63_t)fract*(temp >> 31);
+  temp = temp + (q63_t)d1*Dn;
+  temp = (q63_t)fract*(temp >> 31);
 
-  /* Calculation of (theta - x0)/(x1-x0) */
-  out =
-    (((q31_t) (((q63_t) (theta - x0) * oneByXSpacing) >> 32)) << sign_bits);
-
-  /* Calculation of y0 + (y1 - y0) * ((theta - x0)/(x1-x0)) */
-  *pSinVal = __QADD(y0, ((q31_t) (((q63_t) (y1 - y0) * out) >> 30)));
+  /* Calculation of cosine value */
+  *pCosVal = clip_q63_to_q31((temp >> 31) + (q63_t)f1);
+  
+  /* Read two nearest values of input value from the cos & sin tables */
+  f1 = sinTable_q31[indexS+0];
+  f2 = sinTable_q31[indexS+1];
+  d1 = sinTable_q31[indexC+0];
+  d2 = sinTable_q31[indexC+1];
 
-  /* Reading nearest cosine output values from table */
-  y0 = cosTableQ31[i];
-  y1 = cosTableQ31[i + 1u];
-
-  /* Calculation of y0 + (y1 - y0) * ((theta - x0)/(x1-x0)) */
-  *pCosVal = __QADD(y0, ((q31_t) (((q63_t) (y1 - y0) * out) >> 30)));
-
+  Df = f2 - f1; // delta between the values of the functions
+  temp = Dn*((q63_t)d1 + d2);
+  temp = temp - ((q63_t)Df << 32);
+  temp = (q63_t)fract*(temp >> 31);
+  temp = temp + ((3*(q63_t)Df << 31) - (d2 + ((q63_t)d1 << 1))*Dn);
+  temp = (q63_t)fract*(temp >> 31);
+  temp = temp + (q63_t)d1*Dn;
+  temp = (q63_t)fract*(temp >> 31);
+  
+  /* Calculation of sine value */
+  *pSinVal = clip_q63_to_q31((temp >> 31) + (q63_t)f1);
 }
 
 /**    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FastMathFunctions/arm_cos_f32.c
--- a/cmsis_dsp/FastMathFunctions/arm_cos_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FastMathFunctions/arm_cos_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,24 +1,24 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
-*    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_cos_f32.c    
-*    
-* Description:	Fast cosine calculation for floating-point values.   
-*    
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
+*
+* $Date:        21. September 2015
+* $Revision:    V.1.4.5 a
+*
+* Project:      CMSIS DSP Library
+* Title:        arm_cos_f32.c
+*
+* Description:  Fast cosine calculation for floating-point values.
+*
 * Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
+*
+* Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions
 * are met:
 *   - Redistributions of source code must retain the above copyright
 *     notice, this list of conditions and the following disclaimer.
 *   - Redistributions in binary form must reproduce the above copyright
 *     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
+*     the documentation and/or other materials provided with the
 *     distribution.
 *   - Neither the name of ARM LIMITED nor the names of its contributors
 *     may be used to endorse or promote products derived from this
@@ -27,7 +27,7 @@
 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
 * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
 * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
 * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
@@ -35,256 +35,93 @@
 * CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
 * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
+* POSSIBILITY OF SUCH DAMAGE.
 * -------------------------------------------------------------------- */
 
 #include "arm_math.h"
-/**    
- * @ingroup groupFastMath    
- */
-
-/**    
- * @defgroup cos Cosine    
- *    
- * Computes the trigonometric cosine function using a combination of table lookup   
- * and cubic interpolation.  There are separate functions for   
- * Q15, Q31, and floating-point data types.   
- * The input to the floating-point version is in radians while the   
- * fixed-point Q15 and Q31 have a scaled input with the range   
- * [0 +0.9999] mapping to [0 2*pi).  The fixed-point range is chosen so that a
- * value of 2*pi wraps around to 0.
- *   
- * The implementation is based on table lookup using 256 values together with cubic interpolation.   
- * The steps used are:   
- *  -# Calculation of the nearest integer table index   
- *  -# Fetch the four table values a, b, c, and d     
- *  -# Compute the fractional portion (fract) of the table index.   
- *  -# Calculation of wa, wb, wc, wd    
- *  -# The final result equals <code>a*wa + b*wb + c*wc + d*wd</code>   
- *   
- * where   
- * <pre>    
- *    a=Table[index-1];    
- *    b=Table[index+0];    
- *    c=Table[index+1];    
- *    d=Table[index+2];    
- * </pre>   
- * and   
- * <pre>    
- *    wa=-(1/6)*fract.^3 + (1/2)*fract.^2 - (1/3)*fract;    
- *    wb=(1/2)*fract.^3 - fract.^2 - (1/2)*fract + 1;    
- *    wc=-(1/2)*fract.^3+(1/2)*fract.^2+fract;    
- *    wd=(1/6)*fract.^3 - (1/6)*fract;    
- * </pre>    
- */
-
- /**    
- * @addtogroup cos    
- * @{    
+#include "arm_common_tables.h"
+/**
+ * @ingroup groupFastMath
  */
 
-
-/**    
-* \par    
-* <b>Example code for Generation of Cos Table:</b>
-* <pre>
-* tableSize = 256;    
-* for(n = -1; n < (tableSize + 2); n++)    
-* {    
-*	cosTable[n+1]= cos(2*pi*n/tableSize);    
-* } </pre>    
-* where pi value is  3.14159265358979    
-*/
-
-static const float32_t cosTable[260] = {
-  0.999698817729949950f, 1.000000000000000000f, 0.999698817729949950f,
-  0.998795449733734130f, 0.997290432453155520f, 0.995184719562530520f,
-  0.992479562759399410f, 0.989176511764526370f,
-  0.985277652740478520f, 0.980785250663757320f, 0.975702106952667240f,
-  0.970031261444091800f, 0.963776051998138430f, 0.956940352916717530f,
-  0.949528157711029050f, 0.941544055938720700f,
-  0.932992815971374510f, 0.923879504203796390f, 0.914209783077239990f,
-  0.903989315032958980f, 0.893224298954010010f, 0.881921291351318360f,
-  0.870086967945098880f, 0.857728600502014160f,
-  0.844853579998016360f, 0.831469595432281490f, 0.817584812641143800f,
-  0.803207516670227050f, 0.788346409797668460f, 0.773010432720184330f,
-  0.757208824157714840f, 0.740951120853424070f,
-  0.724247097969055180f, 0.707106769084930420f, 0.689540565013885500f,
-  0.671558976173400880f, 0.653172850608825680f, 0.634393274784088130f,
-  0.615231573581695560f, 0.595699310302734380f,
-  0.575808167457580570f, 0.555570244789123540f, 0.534997642040252690f,
-  0.514102756977081300f, 0.492898195981979370f, 0.471396744251251220f,
-  0.449611335992813110f, 0.427555084228515630f,
-  0.405241310596466060f, 0.382683426141738890f, 0.359895050525665280f,
-  0.336889863014221190f, 0.313681751489639280f, 0.290284663438797000f,
-  0.266712754964828490f, 0.242980182170867920f,
-  0.219101235270500180f, 0.195090323686599730f, 0.170961886644363400f,
-  0.146730467677116390f, 0.122410677373409270f, 0.098017141222953796f,
-  0.073564566671848297f, 0.049067676067352295f,
-  0.024541229009628296f, 0.000000000000000061f, -0.024541229009628296f,
-  -0.049067676067352295f, -0.073564566671848297f, -0.098017141222953796f,
-  -0.122410677373409270f, -0.146730467677116390f,
-  -0.170961886644363400f, -0.195090323686599730f, -0.219101235270500180f,
-  -0.242980182170867920f, -0.266712754964828490f, -0.290284663438797000f,
-  -0.313681751489639280f, -0.336889863014221190f,
-  -0.359895050525665280f, -0.382683426141738890f, -0.405241310596466060f,
-  -0.427555084228515630f, -0.449611335992813110f, -0.471396744251251220f,
-  -0.492898195981979370f, -0.514102756977081300f,
-  -0.534997642040252690f, -0.555570244789123540f, -0.575808167457580570f,
-  -0.595699310302734380f, -0.615231573581695560f, -0.634393274784088130f,
-  -0.653172850608825680f, -0.671558976173400880f,
-  -0.689540565013885500f, -0.707106769084930420f, -0.724247097969055180f,
-  -0.740951120853424070f, -0.757208824157714840f, -0.773010432720184330f,
-  -0.788346409797668460f, -0.803207516670227050f,
-  -0.817584812641143800f, -0.831469595432281490f, -0.844853579998016360f,
-  -0.857728600502014160f, -0.870086967945098880f, -0.881921291351318360f,
-  -0.893224298954010010f, -0.903989315032958980f,
-  -0.914209783077239990f, -0.923879504203796390f, -0.932992815971374510f,
-  -0.941544055938720700f, -0.949528157711029050f, -0.956940352916717530f,
-  -0.963776051998138430f, -0.970031261444091800f,
-  -0.975702106952667240f, -0.980785250663757320f, -0.985277652740478520f,
-  -0.989176511764526370f, -0.992479562759399410f, -0.995184719562530520f,
-  -0.997290432453155520f, -0.998795449733734130f,
-  -0.999698817729949950f, -1.000000000000000000f, -0.999698817729949950f,
-  -0.998795449733734130f, -0.997290432453155520f, -0.995184719562530520f,
-  -0.992479562759399410f, -0.989176511764526370f,
-  -0.985277652740478520f, -0.980785250663757320f, -0.975702106952667240f,
-  -0.970031261444091800f, -0.963776051998138430f, -0.956940352916717530f,
-  -0.949528157711029050f, -0.941544055938720700f,
-  -0.932992815971374510f, -0.923879504203796390f, -0.914209783077239990f,
-  -0.903989315032958980f, -0.893224298954010010f, -0.881921291351318360f,
-  -0.870086967945098880f, -0.857728600502014160f,
-  -0.844853579998016360f, -0.831469595432281490f, -0.817584812641143800f,
-  -0.803207516670227050f, -0.788346409797668460f, -0.773010432720184330f,
-  -0.757208824157714840f, -0.740951120853424070f,
-  -0.724247097969055180f, -0.707106769084930420f, -0.689540565013885500f,
-  -0.671558976173400880f, -0.653172850608825680f, -0.634393274784088130f,
-  -0.615231573581695560f, -0.595699310302734380f,
-  -0.575808167457580570f, -0.555570244789123540f, -0.534997642040252690f,
-  -0.514102756977081300f, -0.492898195981979370f, -0.471396744251251220f,
-  -0.449611335992813110f, -0.427555084228515630f,
-  -0.405241310596466060f, -0.382683426141738890f, -0.359895050525665280f,
-  -0.336889863014221190f, -0.313681751489639280f, -0.290284663438797000f,
-  -0.266712754964828490f, -0.242980182170867920f,
-  -0.219101235270500180f, -0.195090323686599730f, -0.170961886644363400f,
-  -0.146730467677116390f, -0.122410677373409270f, -0.098017141222953796f,
-  -0.073564566671848297f, -0.049067676067352295f,
-  -0.024541229009628296f, -0.000000000000000184f, 0.024541229009628296f,
-  0.049067676067352295f, 0.073564566671848297f, 0.098017141222953796f,
-  0.122410677373409270f, 0.146730467677116390f,
-  0.170961886644363400f, 0.195090323686599730f, 0.219101235270500180f,
-  0.242980182170867920f, 0.266712754964828490f, 0.290284663438797000f,
-  0.313681751489639280f, 0.336889863014221190f,
-  0.359895050525665280f, 0.382683426141738890f, 0.405241310596466060f,
-  0.427555084228515630f, 0.449611335992813110f, 0.471396744251251220f,
-  0.492898195981979370f, 0.514102756977081300f,
-  0.534997642040252690f, 0.555570244789123540f, 0.575808167457580570f,
-  0.595699310302734380f, 0.615231573581695560f, 0.634393274784088130f,
-  0.653172850608825680f, 0.671558976173400880f,
-  0.689540565013885500f, 0.707106769084930420f, 0.724247097969055180f,
-  0.740951120853424070f, 0.757208824157714840f, 0.773010432720184330f,
-  0.788346409797668460f, 0.803207516670227050f,
-  0.817584812641143800f, 0.831469595432281490f, 0.844853579998016360f,
-  0.857728600502014160f, 0.870086967945098880f, 0.881921291351318360f,
-  0.893224298954010010f, 0.903989315032958980f,
-  0.914209783077239990f, 0.923879504203796390f, 0.932992815971374510f,
-  0.941544055938720700f, 0.949528157711029050f, 0.956940352916717530f,
-  0.963776051998138430f, 0.970031261444091800f,
-  0.975702106952667240f, 0.980785250663757320f, 0.985277652740478520f,
-  0.989176511764526370f, 0.992479562759399410f, 0.995184719562530520f,
-  0.997290432453155520f, 0.998795449733734130f,
-  0.999698817729949950f, 1.000000000000000000f, 0.999698817729949950f,
-  0.998795449733734130f
-};
-
-/**   
- * @brief  Fast approximation to the trigonometric cosine function for floating-point data.   
- * @param[in] x input value in radians.   
- * @return cos(x).   
+/**
+ * @defgroup cos Cosine
+ *
+ * Computes the trigonometric cosine function using a combination of table lookup
+ * and linear interpolation.  There are separate functions for
+ * Q15, Q31, and floating-point data types.
+ * The input to the floating-point version is in radians while the
+ * fixed-point Q15 and Q31 have a scaled input with the range
+ * [0 +0.9999] mapping to [0 2*pi).  The fixed-point range is chosen so that a
+ * value of 2*pi wraps around to 0.
+ *
+ * The implementation is based on table lookup using 256 values together with linear interpolation.
+ * The steps used are:
+ *  -# Calculation of the nearest integer table index
+ *  -# Compute the fractional portion (fract) of the table index.
+ *  -# The final result equals <code>(1.0f-fract)*a + fract*b;</code>
+ *
+ * where
+ * <pre>
+ *    b=Table[index+0];
+ *    c=Table[index+1];
+ * </pre>
  */
 
+ /**
+ * @addtogroup cos
+ * @{
+ */
+
+/**
+ * @brief  Fast approximation to the trigonometric cosine function for floating-point data.
+ * @param[in] x input value in radians.
+ * @return cos(x).
+ */
 
 float32_t arm_cos_f32(
   float32_t x)
 {
-  float32_t cosVal, fract, in;
-  int32_t index;
-  uint32_t tableSize = (uint32_t) TABLE_SIZE;
-  float32_t wa, wb, wc, wd;
-  float32_t a, b, c, d;
-  float32_t *tablePtr;
+  float32_t cosVal, fract, in;                   /* Temporary variables for input, output */
+  uint16_t index;                                /* Index variable */
+  float32_t a, b;                                /* Two nearest output values */
   int32_t n;
-  float32_t fractsq, fractby2, fractby6, fractby3, fractsqby2;
-  float32_t oneminusfractby2;
-  float32_t frby2xfrsq, frby6xfrsq;
+  float32_t findex;
 
   /* input x is in radians */
-  /* Scale the input to [0 1] range from [0 2*PI] , divide input by 2*pi */
-  in = x * 0.159154943092f;
+  /* Scale the input to [0 1] range from [0 2*PI] , divide input by 2*pi, add 0.25 (pi/2) to read sine table */
+  in = x * 0.159154943092f + 0.25f;
 
   /* Calculation of floor value of input */
   n = (int32_t) in;
 
   /* Make negative values towards -infinity */
-  if(x < 0.0f)
+  if(in < 0.0f)
   {
-    n = n - 1;
+    n--;
   }
 
   /* Map input value to [0 1] */
   in = in - (float32_t) n;
 
   /* Calculation of index of the table */
-  index = (uint32_t) (tableSize * in);
+  findex = (float32_t) FAST_MATH_TABLE_SIZE * in;
+  index = ((uint16_t)findex) & 0x1ff;
 
   /* fractional value calculation */
-  fract = ((float32_t) tableSize * in) - (float32_t) index;
-
-  /* Checking min and max index of table */
-  if(index < 0)
-  {
-    index = 0;
-  }
-  else if(index > 256)
-  {
-    index = 256;
-  }
-
-  /* Initialise table pointer */
-  tablePtr = (float32_t *) & cosTable[index];
-
-  /* Read four nearest values of input value from the cos table */
-  a = tablePtr[0];
-  b = tablePtr[1];
-  c = tablePtr[2];
-  d = tablePtr[3];
+  fract = findex - (float32_t) index;
 
-  /* Cubic interpolation process */
-  fractsq = fract * fract;
-  fractby2 = fract * 0.5f;
-  fractby6 = fract * 0.166666667f;
-  fractby3 = fract * 0.3333333333333f;
-  fractsqby2 = fractsq * 0.5f;
-  frby2xfrsq = (fractby2) * fractsq;
-  frby6xfrsq = (fractby6) * fractsq;
-  oneminusfractby2 = 1.0f - fractby2;
-  wb = fractsqby2 - fractby3;
-  wc = (fractsqby2 + fract);
-  wa = wb - frby6xfrsq;
-  wb = frby2xfrsq - fractsq;
-  cosVal = wa * a;
-  wc = wc - frby2xfrsq;
-  wd = (frby6xfrsq) - fractby6;
-  wb = wb + oneminusfractby2;
+  /* Read two nearest values of input value from the cos table */
+  a = sinTable_f32[index];
+  b = sinTable_f32[index+1];
 
-  /* Calculate cos value */
-  cosVal = (cosVal + (b * wb)) + ((c * wc) + (d * wd));
+  /* Linear interpolation process */
+  cosVal = (1.0f-fract)*a + fract*b;
 
   /* Return the output value */
   return (cosVal);
-
 }
 
-/**    
- * @} end of cos group    
+/**
+ * @} end of cos group
  */

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FastMathFunctions/arm_cos_q15.c
--- a/cmsis_dsp/FastMathFunctions/arm_cos_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FastMathFunctions/arm_cos_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,24 +1,24 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
-*    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_cos_q15.c    
-*    
-* Description:	Fast cosine calculation for Q15 values.   
-*    
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
+*
+* $Date:        07. September 2015
+* $Revision:    V.1.4.5 a
+*
+* Project:      CMSIS DSP Library
+* Title:        arm_cos_q15.c
+*
+* Description:  Fast cosine calculation for Q15 values.
+*
 * Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
+*
+* Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions
 * are met:
 *   - Redistributions of source code must retain the above copyright
 *     notice, this list of conditions and the following disclaimer.
 *   - Redistributions in binary form must reproduce the above copyright
 *     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
+*     the documentation and/or other materials provided with the
 *     distribution.
 *   - Neither the name of ARM LIMITED nor the names of its contributors
 *     may be used to endorse or promote products derived from this
@@ -27,7 +27,7 @@
 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
 * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
 * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
 * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
@@ -35,81 +35,26 @@
 * CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
 * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
+* POSSIBILITY OF SUCH DAMAGE.
 * -------------------------------------------------------------------- */
 
 #include "arm_math.h"
+#include "arm_common_tables.h"
 
-/**    
- * @ingroup groupFastMath    
- */
-
- /**    
- * @addtogroup cos    
- * @{    
+/**
+ * @ingroup groupFastMath
  */
 
-/**   
-* \par    
- * Table values are in Q15 (1.15 fixed-point format) and generation is done in 
- * three steps.  First,  generate cos values in floating point:    
- * <pre>
- * tableSize = 256;
- * for(n = -1; n < (tableSize + 1); n++)    
- * {    
- *	cosTable[n+1]= cos(2*pi*n/tableSize);    
- * } </pre>     
- * where pi value is  3.14159265358979    
- * \par    
- * Second, convert floating-point to Q15 (fixed-point):    
- *	(cosTable[i] * pow(2, 15))    
- * \par    
- * Finally, round to the nearest integer value:
- * 	cosTable[i] += (cosTable[i] > 0 ? 0.5 :-0.5);    
-*/
+ /**
+ * @addtogroup cos
+ * @{
+ */
 
-static const q15_t cosTableQ15[259] = {
-  0x7ff6, 0x7fff, 0x7ff6, 0x7fd9, 0x7fa7, 0x7f62, 0x7f0a, 0x7e9d,
-  0x7e1e, 0x7d8a, 0x7ce4, 0x7c2a, 0x7b5d, 0x7a7d, 0x798a, 0x7885,
-  0x776c, 0x7642, 0x7505, 0x73b6, 0x7255, 0x70e3, 0x6f5f, 0x6dca,
-  0x6c24, 0x6a6e, 0x68a7, 0x66d0, 0x64e9, 0x62f2, 0x60ec, 0x5ed7,
-  0x5cb4, 0x5a82, 0x5843, 0x55f6, 0x539b, 0x5134, 0x4ec0, 0x4c40,
-  0x49b4, 0x471d, 0x447b, 0x41ce, 0x3f17, 0x3c57, 0x398d, 0x36ba,
-  0x33df, 0x30fc, 0x2e11, 0x2b1f, 0x2827, 0x2528, 0x2224, 0x1f1a,
-  0x1c0c, 0x18f9, 0x15e2, 0x12c8, 0xfab, 0xc8c, 0x96b, 0x648,
-  0x324, 0x0, 0xfcdc, 0xf9b8, 0xf695, 0xf374, 0xf055, 0xed38,
-  0xea1e, 0xe707, 0xe3f4, 0xe0e6, 0xdddc, 0xdad8, 0xd7d9, 0xd4e1,
-  0xd1ef, 0xcf04, 0xcc21, 0xc946, 0xc673, 0xc3a9, 0xc0e9, 0xbe32,
-  0xbb85, 0xb8e3, 0xb64c, 0xb3c0, 0xb140, 0xaecc, 0xac65, 0xaa0a,
-  0xa7bd, 0xa57e, 0xa34c, 0xa129, 0x9f14, 0x9d0e, 0x9b17, 0x9930,
-  0x9759, 0x9592, 0x93dc, 0x9236, 0x90a1, 0x8f1d, 0x8dab, 0x8c4a,
-  0x8afb, 0x89be, 0x8894, 0x877b, 0x8676, 0x8583, 0x84a3, 0x83d6,
-  0x831c, 0x8276, 0x81e2, 0x8163, 0x80f6, 0x809e, 0x8059, 0x8027,
-  0x800a, 0x8000, 0x800a, 0x8027, 0x8059, 0x809e, 0x80f6, 0x8163,
-  0x81e2, 0x8276, 0x831c, 0x83d6, 0x84a3, 0x8583, 0x8676, 0x877b,
-  0x8894, 0x89be, 0x8afb, 0x8c4a, 0x8dab, 0x8f1d, 0x90a1, 0x9236,
-  0x93dc, 0x9592, 0x9759, 0x9930, 0x9b17, 0x9d0e, 0x9f14, 0xa129,
-  0xa34c, 0xa57e, 0xa7bd, 0xaa0a, 0xac65, 0xaecc, 0xb140, 0xb3c0,
-  0xb64c, 0xb8e3, 0xbb85, 0xbe32, 0xc0e9, 0xc3a9, 0xc673, 0xc946,
-  0xcc21, 0xcf04, 0xd1ef, 0xd4e1, 0xd7d9, 0xdad8, 0xdddc, 0xe0e6,
-  0xe3f4, 0xe707, 0xea1e, 0xed38, 0xf055, 0xf374, 0xf695, 0xf9b8,
-  0xfcdc, 0x0, 0x324, 0x648, 0x96b, 0xc8c, 0xfab, 0x12c8,
-  0x15e2, 0x18f9, 0x1c0c, 0x1f1a, 0x2224, 0x2528, 0x2827, 0x2b1f,
-  0x2e11, 0x30fc, 0x33df, 0x36ba, 0x398d, 0x3c57, 0x3f17, 0x41ce,
-  0x447b, 0x471d, 0x49b4, 0x4c40, 0x4ec0, 0x5134, 0x539b, 0x55f6,
-  0x5843, 0x5a82, 0x5cb4, 0x5ed7, 0x60ec, 0x62f2, 0x64e9, 0x66d0,
-  0x68a7, 0x6a6e, 0x6c24, 0x6dca, 0x6f5f, 0x70e3, 0x7255, 0x73b6,
-  0x7505, 0x7642, 0x776c, 0x7885, 0x798a, 0x7a7d, 0x7b5d, 0x7c2a,
-  0x7ce4, 0x7d8a, 0x7e1e, 0x7e9d, 0x7f0a, 0x7f62, 0x7fa7, 0x7fd9,
-  0x7ff6, 0x7fff, 0x7ff6
-};
-
-
-/**   
- * @brief Fast approximation to the trigonometric cosine function for Q15 data.   
- * @param[in] x Scaled input value in radians.   
- * @return  cos(x).   
- *   
+/**
+ * @brief Fast approximation to the trigonometric cosine function for Q15 data.
+ * @param[in] x Scaled input value in radians.
+ * @return  cos(x).
+ *
  * The Q15 input value is in the range [0 +0.9999] and is mapped to a radian
  * value in the range [0 2*pi).
  */
@@ -117,98 +62,35 @@
 q15_t arm_cos_q15(
   q15_t x)
 {
-  q31_t cosVal;                                  /* Temporary variable for output */
-  q15_t *tablePtr;                               /* Pointer to table */
-  q15_t in, in2;                                 /* Temporary variables for input */
-  q31_t wa, wb, wc, wd;                          /* Cubic interpolation coefficients */
-  q15_t a, b, c, d;                              /* Four nearest output values */
-  q15_t fract, fractCube, fractSquare;           /* Variables for fractional value */
-  q15_t oneBy6 = 0x1555;                         /* Fixed point value of 1/6 */
-  q15_t tableSpacing = TABLE_SPACING_Q15;        /* Table spacing */
-  int32_t index;                                 /* Index variable */
-
-  in = x;
-
-  /* Calculate the nearest index */
-  index = (int32_t) in / tableSpacing;
-
-  /* Calculate the nearest value of input */
-  in2 = (q15_t) index *tableSpacing;
+  q15_t cosVal;                                  /* Temporary variables for input, output */
+  int32_t index;                                 /* Index variables */
+  q15_t a, b;                                    /* Four nearest output values */
+  q15_t fract;                                   /* Temporary values for fractional values */
 
-  /* Calculation of fractional value */
-  fract = (in - in2) << 8;
-
-  /* fractSquare = fract * fract */
-  fractSquare = (q15_t) ((fract * fract) >> 15);
-
-  /* fractCube = fract * fract * fract */
-  fractCube = (q15_t) ((fractSquare * fract) >> 15);
-
-  /* Checking min and max index of table */
-  if(index < 0)
-  {
-    index = 0;
-  }
-  else if(index > 256)
-  {
-    index = 256;
+  /* add 0.25 (pi/2) to read sine table */
+  x = (uint16_t)x + 0x2000;
+  if(x < 0)
+  {   /* convert negative numbers to corresponding positive ones */
+      x = (uint16_t)x + 0x8000;
   }
 
-  /* Initialise table pointer */
-  tablePtr = (q15_t *) & cosTableQ15[index];
-
-  /* Cubic interpolation process */
-  /* Calculation of wa */
-  /* wa = -(oneBy6)*fractCube + (fractSquare >> 1u) - (0x2AAA)*fract; */
-  wa = (q31_t) oneBy6 *fractCube;
-  wa += (q31_t) 0x2AAA *fract;
-  wa = -(wa >> 15);
-  wa += (fractSquare >> 1u);
+  /* Calculate the nearest index */
+  index = (uint32_t)x >> FAST_MATH_Q15_SHIFT;
 
-  /* Read first nearest value of output from the cos table */
-  a = *tablePtr++;
-
-  /* cosVal = a * wa */
-  cosVal = a * wa;
-
-  /* Calculation of wb */
-  wb = (((fractCube >> 1u) - fractSquare) - (fract >> 1u)) + 0x7FFF;
-
-  /* Read second nearest value of output from the cos table */
-  b = *tablePtr++;
-
-  /*      cosVal += b*wb */
-  cosVal += b * wb;
+  /* Calculation of fractional value */
+  fract = (x - (index << FAST_MATH_Q15_SHIFT)) << 9;
 
-  /* Calculation of wc */
-  wc = -(q31_t) fractCube + fractSquare;
-  wc = (wc >> 1u) + fract;
-
-  /* Read third nearest value of output from the cos table */
-  c = *tablePtr++;
-
-  /* cosVal += c*wc */
-  cosVal += c * wc;
+  /* Read two nearest values of input value from the sin table */
+  a = sinTable_q15[index];
+  b = sinTable_q15[index+1];
 
-  /* Calculation of wd */
-  /* wd = (oneBy6)*fractCube - (oneBy6)*fract; */
-  fractCube = fractCube - fract;
-  wd = ((q15_t) (((q31_t) oneBy6 * fractCube) >> 15));
-
-  /* Read fourth nearest value of output from the cos table */
-  d = *tablePtr++;
+  /* Linear interpolation process */
+  cosVal = (q31_t)(0x8000-fract)*a >> 16;
+  cosVal = (q15_t)((((q31_t)cosVal << 16) + ((q31_t)fract*b)) >> 16);
 
-  /* cosVal += d*wd; */
-  cosVal += d * wd;
-
-  /* Convert output value in 1.15(q15) format and saturate */
-  cosVal = __SSAT((cosVal >> 15), 16);
-
-  /* Return the output value in 1.15(q15) format */
-  return ((q15_t) cosVal);
-
+  return cosVal << 1;
 }
 
-/**    
- * @} end of cos group    
+/**
+ * @} end of cos group
  */

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FastMathFunctions/arm_cos_q31.c
--- a/cmsis_dsp/FastMathFunctions/arm_cos_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FastMathFunctions/arm_cos_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,24 +1,24 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
-*    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_cos_q31.c    
-*    
-* Description:	Fast cosine calculation for Q31 values.   
-*    
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
+*
+* $Date:        07. September 2015
+* $Revision:    V.1.4.5 a
+*
+* Project:      CMSIS DSP Library
+* Title:        arm_cos_q31.c
+*
+* Description: Fast cosine calculation for Q31 values.
+*
 * Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
+*
+* Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions
 * are met:
 *   - Redistributions of source code must retain the above copyright
 *     notice, this list of conditions and the following disclaimer.
 *   - Redistributions in binary form must reproduce the above copyright
 *     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
+*     the documentation and/or other materials provided with the
 *     distribution.
 *   - Neither the name of ARM LIMITED nor the names of its contributors
 *     may be used to endorse or promote products derived from this
@@ -27,7 +27,7 @@
 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
 * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
 * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
 * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
@@ -35,113 +35,26 @@
 * CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
 * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
+* POSSIBILITY OF SUCH DAMAGE.
 * -------------------------------------------------------------------- */
 
 #include "arm_math.h"
-
-/**    
- * @ingroup groupFastMath    
- */
-
- /**    
- * @addtogroup cos    
- * @{    
- */
+#include "arm_common_tables.h"
 
-/**    
- * \par    
- * Table values are in Q31 (1.31 fixed-point format) and generation is done in 
- * three steps.  First,  generate cos values in floating point:    
- * <pre>
- * tableSize = 256;      
- * for(n = -1; n < (tableSize + 1); n++)    
- * {    
- *	cosTable[n+1]= cos(2*pi*n/tableSize);    
- * } </pre>     
- * where pi value is  3.14159265358979    
- * \par    
- * Second, convert floating-point to Q31 (Fixed point):
- *	(cosTable[i] * pow(2, 31))    
- * \par    
- * Finally, round to the nearest integer value:
- * 	cosTable[i] += (cosTable[i] > 0 ? 0.5 :-0.5);    
+/**
+ * @ingroup groupFastMath
  */
 
+ /**
+ * @addtogroup cos
+ * @{
+ */
 
-static const q31_t cosTableQ31[259] = {
-  0x7ff62182, 0x7fffffff, 0x7ff62182, 0x7fd8878e, 0x7fa736b4, 0x7f62368f,
-  0x7f0991c4, 0x7e9d55fc,
-  0x7e1d93ea, 0x7d8a5f40, 0x7ce3ceb2, 0x7c29fbee, 0x7b5d039e, 0x7a7d055b,
-  0x798a23b1, 0x78848414,
-  0x776c4edb, 0x7641af3d, 0x7504d345, 0x73b5ebd1, 0x72552c85, 0x70e2cbc6,
-  0x6f5f02b2, 0x6dca0d14,
-  0x6c242960, 0x6a6d98a4, 0x68a69e81, 0x66cf8120, 0x64e88926, 0x62f201ac,
-  0x60ec3830, 0x5ed77c8a,
-  0x5cb420e0, 0x5a82799a, 0x5842dd54, 0x55f5a4d2, 0x539b2af0, 0x5133cc94,
-  0x4ebfe8a5, 0x4c3fdff4,
-  0x49b41533, 0x471cece7, 0x447acd50, 0x41ce1e65, 0x3f1749b8, 0x3c56ba70,
-  0x398cdd32, 0x36ba2014,
-  0x33def287, 0x30fbc54d, 0x2e110a62, 0x2b1f34eb, 0x2826b928, 0x25280c5e,
-  0x2223a4c5, 0x1f19f97b,
-  0x1c0b826a, 0x18f8b83c, 0x15e21445, 0x12c8106f, 0xfab272b, 0xc8bd35e,
-  0x96a9049, 0x647d97c,
-  0x3242abf, 0x0, 0xfcdbd541, 0xf9b82684, 0xf6956fb7, 0xf3742ca2, 0xf054d8d5,
-  0xed37ef91,
-  0xea1debbb, 0xe70747c4, 0xe3f47d96, 0xe0e60685, 0xdddc5b3b, 0xdad7f3a2,
-  0xd7d946d8, 0xd4e0cb15,
-  0xd1eef59e, 0xcf043ab3, 0xcc210d79, 0xc945dfec, 0xc67322ce, 0xc3a94590,
-  0xc0e8b648, 0xbe31e19b,
-  0xbb8532b0, 0xb8e31319, 0xb64beacd, 0xb3c0200c, 0xb140175b, 0xaecc336c,
-  0xac64d510, 0xaa0a5b2e,
-  0xa7bd22ac, 0xa57d8666, 0xa34bdf20, 0xa1288376, 0x9f13c7d0, 0x9d0dfe54,
-  0x9b1776da, 0x99307ee0,
-  0x9759617f, 0x9592675c, 0x93dbd6a0, 0x9235f2ec, 0x90a0fd4e, 0x8f1d343a,
-  0x8daad37b, 0x8c4a142f,
-  0x8afb2cbb, 0x89be50c3, 0x8893b125, 0x877b7bec, 0x8675dc4f, 0x8582faa5,
-  0x84a2fc62, 0x83d60412,
-  0x831c314e, 0x8275a0c0, 0x81e26c16, 0x8162aa04, 0x80f66e3c, 0x809dc971,
-  0x8058c94c, 0x80277872,
-  0x8009de7e, 0x80000000, 0x8009de7e, 0x80277872, 0x8058c94c, 0x809dc971,
-  0x80f66e3c, 0x8162aa04,
-  0x81e26c16, 0x8275a0c0, 0x831c314e, 0x83d60412, 0x84a2fc62, 0x8582faa5,
-  0x8675dc4f, 0x877b7bec,
-  0x8893b125, 0x89be50c3, 0x8afb2cbb, 0x8c4a142f, 0x8daad37b, 0x8f1d343a,
-  0x90a0fd4e, 0x9235f2ec,
-  0x93dbd6a0, 0x9592675c, 0x9759617f, 0x99307ee0, 0x9b1776da, 0x9d0dfe54,
-  0x9f13c7d0, 0xa1288376,
-  0xa34bdf20, 0xa57d8666, 0xa7bd22ac, 0xaa0a5b2e, 0xac64d510, 0xaecc336c,
-  0xb140175b, 0xb3c0200c,
-  0xb64beacd, 0xb8e31319, 0xbb8532b0, 0xbe31e19b, 0xc0e8b648, 0xc3a94590,
-  0xc67322ce, 0xc945dfec,
-  0xcc210d79, 0xcf043ab3, 0xd1eef59e, 0xd4e0cb15, 0xd7d946d8, 0xdad7f3a2,
-  0xdddc5b3b, 0xe0e60685,
-  0xe3f47d96, 0xe70747c4, 0xea1debbb, 0xed37ef91, 0xf054d8d5, 0xf3742ca2,
-  0xf6956fb7, 0xf9b82684,
-  0xfcdbd541, 0x0, 0x3242abf, 0x647d97c, 0x96a9049, 0xc8bd35e, 0xfab272b,
-  0x12c8106f,
-  0x15e21445, 0x18f8b83c, 0x1c0b826a, 0x1f19f97b, 0x2223a4c5, 0x25280c5e,
-  0x2826b928, 0x2b1f34eb,
-  0x2e110a62, 0x30fbc54d, 0x33def287, 0x36ba2014, 0x398cdd32, 0x3c56ba70,
-  0x3f1749b8, 0x41ce1e65,
-  0x447acd50, 0x471cece7, 0x49b41533, 0x4c3fdff4, 0x4ebfe8a5, 0x5133cc94,
-  0x539b2af0, 0x55f5a4d2,
-  0x5842dd54, 0x5a82799a, 0x5cb420e0, 0x5ed77c8a, 0x60ec3830, 0x62f201ac,
-  0x64e88926, 0x66cf8120,
-  0x68a69e81, 0x6a6d98a4, 0x6c242960, 0x6dca0d14, 0x6f5f02b2, 0x70e2cbc6,
-  0x72552c85, 0x73b5ebd1,
-  0x7504d345, 0x7641af3d, 0x776c4edb, 0x78848414, 0x798a23b1, 0x7a7d055b,
-  0x7b5d039e, 0x7c29fbee,
-  0x7ce3ceb2, 0x7d8a5f40, 0x7e1d93ea, 0x7e9d55fc, 0x7f0991c4, 0x7f62368f,
-  0x7fa736b4, 0x7fd8878e,
-  0x7ff62182, 0x7fffffff, 0x7ff62182
-};
-
-/**   
- * @brief Fast approximation to the trigonometric cosine function for Q31 data.   
- * @param[in] x Scaled input value in radians.   
- * @return  cos(x).   
- *   
+/**
+ * @brief Fast approximation to the trigonometric cosine function for Q31 data.
+ * @param[in] x Scaled input value in radians.
+ * @return  cos(x).
+ *
  * The Q31 input value is in the range [0 +0.9999] and is mapped to a radian
  * value in the range [0 2*pi).
  */
@@ -149,101 +62,35 @@
 q31_t arm_cos_q31(
   q31_t x)
 {
-  q31_t cosVal, in, in2;                         /* Temporary variables for input, output */
-  q31_t wa, wb, wc, wd;                          /* Cubic interpolation coefficients */
-  q31_t a, b, c, d;                              /* Four nearest output values */
-  q31_t *tablePtr;                               /* Pointer to table */
-  q31_t fract, fractCube, fractSquare;           /* Temporary values for fractional values */
-  q31_t oneBy6 = 0x15555555;                     /* Fixed point value of 1/6 */
-  q31_t tableSpacing = TABLE_SPACING_Q31;        /* Table spacing */
-  q31_t temp;                                    /* Temporary variable for intermediate process */
-  int32_t index;                                 /* Index variable */
-
-  in = x;
-
-  /* Calculate the nearest index */
-  index = in / tableSpacing;
-
-  /* Calculate the nearest value of input */
-  in2 = ((q31_t) index) * tableSpacing;
+  q31_t cosVal;                                  /* Temporary variables for input, output */
+  int32_t index;                                 /* Index variables */
+  q31_t a, b;                                    /* Four nearest output values */
+  q31_t fract;                                   /* Temporary values for fractional values */
 
-  /* Calculation of fractional value */
-  fract = (in - in2) << 8;
-
-  /* fractSquare = fract * fract */
-  fractSquare = ((q31_t) (((q63_t) fract * fract) >> 32));
-  fractSquare = fractSquare << 1;
-
-  /* fractCube = fract * fract * fract */
-  fractCube = ((q31_t) (((q63_t) fractSquare * fract) >> 32));
-  fractCube = fractCube << 1;
-
-  /* Checking min and max index of table */
-  if(index < 0)
-  {
-    index = 0;
-  }
-  else if(index > 256)
-  {
-    index = 256;
+  /* add 0.25 (pi/2) to read sine table */
+  x = (uint32_t)x + 0x20000000;
+  if(x < 0)
+  {   /* convert negative numbers to corresponding positive ones */
+      x = (uint32_t)x + 0x80000000;
   }
 
-  /* Initialise table pointer */
-  tablePtr = (q31_t *) & cosTableQ31[index];
-
-  /* Cubic interpolation process */
-  /* Calculation of wa */
-  /* wa = -(oneBy6)*fractCube + (fractSquare >> 1u) - (0x2AAAAAAA)*fract; */
-  wa = ((q31_t) (((q63_t) oneBy6 * fractCube) >> 32));
-  temp = 0x2AAAAAAA;
-  wa = (q31_t) ((((q63_t) wa << 32) + ((q63_t) temp * fract)) >> 32);
-  wa = -(wa << 1u);
-  wa += (fractSquare >> 1u);
+  /* Calculate the nearest index */
+  index = (uint32_t)x >> FAST_MATH_Q31_SHIFT;
 
-  /* Read first nearest value of output from the cos table */
-  a = *tablePtr++;
-
-  /* cosVal = a*wa */
-  cosVal = ((q31_t) (((q63_t) a * wa) >> 32));
-
-  /* q31(1.31) Fixed point value of 1 */
-  temp = 0x7FFFFFFF;
-
-  /* Calculation of wb */
-  wb = ((fractCube >> 1u) - (fractSquare + (fract >> 1u))) + temp;
-  /* Read second nearest value of output from the cos table */
-  b = *tablePtr++;
+  /* Calculation of fractional value */
+  fract = (x - (index << FAST_MATH_Q31_SHIFT)) << 9;
 
-  /*      cosVal += b*wb */
-  cosVal = (q31_t) ((((q63_t) cosVal << 32) + ((q63_t) b * (wb))) >> 32);
-
-  /* Calculation of wc */
-  wc = -fractCube + fractSquare;
-  wc = (wc >> 1u) + fract;
-  /* Read third nearest values of output value from the cos table */
-  c = *tablePtr++;
-
-  /*      cosVal += c*wc */
-  cosVal = (q31_t) ((((q63_t) cosVal << 32) + ((q63_t) c * (wc))) >> 32);
+  /* Read two nearest values of input value from the sin table */
+  a = sinTable_q31[index];
+  b = sinTable_q31[index+1];
 
-  /* Calculation of wd */
-  /* wd = (oneBy6)*fractCube - (oneBy6)*fract; */
-  fractCube = fractCube - fract;
-  wd = ((q31_t) (((q63_t) oneBy6 * fractCube) >> 32));
-  wd = (wd << 1u);
+  /* Linear interpolation process */
+  cosVal = (q63_t)(0x80000000-fract)*a >> 32;
+  cosVal = (q31_t)((((q63_t)cosVal << 32) + ((q63_t)fract*b)) >> 32);
 
-  /* Read fourth nearest value of output from the cos table */
-  d = *tablePtr++;
-
-  /* cosVal += d*wd; */
-  cosVal = (q31_t) ((((q63_t) cosVal << 32) + ((q63_t) d * (wd))) >> 32);
-
-
-  /* convert cosVal in 2.30 format to 1.31 format */
-  return (__QADD(cosVal, cosVal));
-
+  return cosVal << 1;
 }
 
-/**    
- * @} end of cos group    
+/**
+ * @} end of cos group
  */

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FastMathFunctions/arm_sin_f32.c
--- a/cmsis_dsp/FastMathFunctions/arm_sin_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FastMathFunctions/arm_sin_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,24 +1,24 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
-*    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_sin_f32.c    
-*    
-* Description:	Fast sine calculation for floating-point values.   
-*    
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
+*
+* $Date:        21. September 2015
+* $Revision:    V.1.4.5 a
+*
+* Project:      CMSIS DSP Library
+* Title:        arm_sin_f32.c
+*
+* Description:  Fast sine calculation for floating-point values.
+*
 * Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
+*
+* Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions
 * are met:
 *   - Redistributions of source code must retain the above copyright
 *     notice, this list of conditions and the following disclaimer.
 *   - Redistributions in binary form must reproduce the above copyright
 *     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
+*     the documentation and/or other materials provided with the
 *     distribution.
 *   - Neither the name of ARM LIMITED nor the names of its contributors
 *     may be used to endorse or promote products derived from this
@@ -27,7 +27,7 @@
 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
 * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
 * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
 * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
@@ -35,189 +35,60 @@
 * CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
 * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE. 
+* POSSIBILITY OF SUCH DAMAGE.
 * -------------------------------------------------------------------- */
 
 #include "arm_math.h"
-
-/**    
- * @ingroup groupFastMath    
- */
+#include "arm_common_tables.h"
+#include <math.h>
 
-/**    
- * @defgroup sin Sine    
- *    
- * Computes the trigonometric sine function using a combination of table lookup   
- * and cubic interpolation.  There are separate functions for   
- * Q15, Q31, and floating-point data types.   
- * The input to the floating-point version is in radians while the   
- * fixed-point Q15 and Q31 have a scaled input with the range   
- * [0 +0.9999] mapping to [0 2*pi).  The fixed-point range is chosen so that a
- * value of 2*pi wraps around to 0.
- *   
- * The implementation is based on table lookup using 256 values together with cubic interpolation.   
- * The steps used are:   
- *  -# Calculation of the nearest integer table index   
- *  -# Fetch the four table values a, b, c, and d     
- *  -# Compute the fractional portion (fract) of the table index.   
- *  -# Calculation of wa, wb, wc, wd    
- *  -# The final result equals <code>a*wa + b*wb + c*wc + d*wd</code>   
- *   
- * where   
- * <pre>    
- *    a=Table[index-1];    
- *    b=Table[index+0];    
- *    c=Table[index+1];    
- *    d=Table[index+2];    
- * </pre>   
- * and   
- * <pre>    
- *    wa=-(1/6)*fract.^3 + (1/2)*fract.^2 - (1/3)*fract;    
- *    wb=(1/2)*fract.^3 - fract.^2 - (1/2)*fract + 1;    
- *    wc=-(1/2)*fract.^3+(1/2)*fract.^2+fract;    
- *    wd=(1/6)*fract.^3 - (1/6)*fract;    
- * </pre>    
- */
-
-/**    
- * @addtogroup sin    
- * @{    
- */
-
-
-/**   
- * \par    
- * Example code for the generation of the floating-point sine table:
- * <pre>
- * tableSize = 256;    
- * for(n = -1; n < (tableSize + 1); n++)    
- * {    
- *	sinTable[n+1]=sin(2*pi*n/tableSize);    
- * }</pre>    
- * \par    
- * where pi value is  3.14159265358979    
+/**
+ * @ingroup groupFastMath
  */
 
-static const float32_t sinTable[259] = {
-  -0.024541229009628296f, 0.000000000000000000f, 0.024541229009628296f,
-  0.049067676067352295f, 0.073564566671848297f, 0.098017141222953796f,
-  0.122410677373409270f, 0.146730467677116390f,
-  0.170961886644363400f, 0.195090323686599730f, 0.219101235270500180f,
-  0.242980182170867920f, 0.266712754964828490f, 0.290284663438797000f,
-  0.313681751489639280f, 0.336889863014221190f,
-  0.359895050525665280f, 0.382683426141738890f, 0.405241310596466060f,
-  0.427555084228515630f, 0.449611335992813110f, 0.471396744251251220f,
-  0.492898195981979370f, 0.514102756977081300f,
-  0.534997642040252690f, 0.555570244789123540f, 0.575808167457580570f,
-  0.595699310302734380f, 0.615231573581695560f, 0.634393274784088130f,
-  0.653172850608825680f, 0.671558976173400880f,
-  0.689540565013885500f, 0.707106769084930420f, 0.724247097969055180f,
-  0.740951120853424070f, 0.757208824157714840f, 0.773010432720184330f,
-  0.788346409797668460f, 0.803207516670227050f,
-  0.817584812641143800f, 0.831469595432281490f, 0.844853579998016360f,
-  0.857728600502014160f, 0.870086967945098880f, 0.881921291351318360f,
-  0.893224298954010010f, 0.903989315032958980f,
-  0.914209783077239990f, 0.923879504203796390f, 0.932992815971374510f,
-  0.941544055938720700f, 0.949528157711029050f, 0.956940352916717530f,
-  0.963776051998138430f, 0.970031261444091800f,
-  0.975702106952667240f, 0.980785250663757320f, 0.985277652740478520f,
-  0.989176511764526370f, 0.992479562759399410f, 0.995184719562530520f,
-  0.997290432453155520f, 0.998795449733734130f,
-  0.999698817729949950f, 1.000000000000000000f, 0.999698817729949950f,
-  0.998795449733734130f, 0.997290432453155520f, 0.995184719562530520f,
-  0.992479562759399410f, 0.989176511764526370f,
-  0.985277652740478520f, 0.980785250663757320f, 0.975702106952667240f,
-  0.970031261444091800f, 0.963776051998138430f, 0.956940352916717530f,
-  0.949528157711029050f, 0.941544055938720700f,
-  0.932992815971374510f, 0.923879504203796390f, 0.914209783077239990f,
-  0.903989315032958980f, 0.893224298954010010f, 0.881921291351318360f,
-  0.870086967945098880f, 0.857728600502014160f,
-  0.844853579998016360f, 0.831469595432281490f, 0.817584812641143800f,
-  0.803207516670227050f, 0.788346409797668460f, 0.773010432720184330f,
-  0.757208824157714840f, 0.740951120853424070f,
-  0.724247097969055180f, 0.707106769084930420f, 0.689540565013885500f,
-  0.671558976173400880f, 0.653172850608825680f, 0.634393274784088130f,
-  0.615231573581695560f, 0.595699310302734380f,
-  0.575808167457580570f, 0.555570244789123540f, 0.534997642040252690f,
-  0.514102756977081300f, 0.492898195981979370f, 0.471396744251251220f,
-  0.449611335992813110f, 0.427555084228515630f,
-  0.405241310596466060f, 0.382683426141738890f, 0.359895050525665280f,
-  0.336889863014221190f, 0.313681751489639280f, 0.290284663438797000f,
-  0.266712754964828490f, 0.242980182170867920f,
-  0.219101235270500180f, 0.195090323686599730f, 0.170961886644363400f,
-  0.146730467677116390f, 0.122410677373409270f, 0.098017141222953796f,
-  0.073564566671848297f, 0.049067676067352295f,
-  0.024541229009628296f, 0.000000000000000122f, -0.024541229009628296f,
-  -0.049067676067352295f, -0.073564566671848297f, -0.098017141222953796f,
-  -0.122410677373409270f, -0.146730467677116390f,
-  -0.170961886644363400f, -0.195090323686599730f, -0.219101235270500180f,
-  -0.242980182170867920f, -0.266712754964828490f, -0.290284663438797000f,
-  -0.313681751489639280f, -0.336889863014221190f,
-  -0.359895050525665280f, -0.382683426141738890f, -0.405241310596466060f,
-  -0.427555084228515630f, -0.449611335992813110f, -0.471396744251251220f,
-  -0.492898195981979370f, -0.514102756977081300f,
-  -0.534997642040252690f, -0.555570244789123540f, -0.575808167457580570f,
-  -0.595699310302734380f, -0.615231573581695560f, -0.634393274784088130f,
-  -0.653172850608825680f, -0.671558976173400880f,
-  -0.689540565013885500f, -0.707106769084930420f, -0.724247097969055180f,
-  -0.740951120853424070f, -0.757208824157714840f, -0.773010432720184330f,
-  -0.788346409797668460f, -0.803207516670227050f,
-  -0.817584812641143800f, -0.831469595432281490f, -0.844853579998016360f,
-  -0.857728600502014160f, -0.870086967945098880f, -0.881921291351318360f,
-  -0.893224298954010010f, -0.903989315032958980f,
-  -0.914209783077239990f, -0.923879504203796390f, -0.932992815971374510f,
-  -0.941544055938720700f, -0.949528157711029050f, -0.956940352916717530f,
-  -0.963776051998138430f, -0.970031261444091800f,
-  -0.975702106952667240f, -0.980785250663757320f, -0.985277652740478520f,
-  -0.989176511764526370f, -0.992479562759399410f, -0.995184719562530520f,
-  -0.997290432453155520f, -0.998795449733734130f,
-  -0.999698817729949950f, -1.000000000000000000f, -0.999698817729949950f,
-  -0.998795449733734130f, -0.997290432453155520f, -0.995184719562530520f,
-  -0.992479562759399410f, -0.989176511764526370f,
-  -0.985277652740478520f, -0.980785250663757320f, -0.975702106952667240f,
-  -0.970031261444091800f, -0.963776051998138430f, -0.956940352916717530f,
-  -0.949528157711029050f, -0.941544055938720700f,
-  -0.932992815971374510f, -0.923879504203796390f, -0.914209783077239990f,
-  -0.903989315032958980f, -0.893224298954010010f, -0.881921291351318360f,
-  -0.870086967945098880f, -0.857728600502014160f,
-  -0.844853579998016360f, -0.831469595432281490f, -0.817584812641143800f,
-  -0.803207516670227050f, -0.788346409797668460f, -0.773010432720184330f,
-  -0.757208824157714840f, -0.740951120853424070f,
-  -0.724247097969055180f, -0.707106769084930420f, -0.689540565013885500f,
-  -0.671558976173400880f, -0.653172850608825680f, -0.634393274784088130f,
-  -0.615231573581695560f, -0.595699310302734380f,
-  -0.575808167457580570f, -0.555570244789123540f, -0.534997642040252690f,
-  -0.514102756977081300f, -0.492898195981979370f, -0.471396744251251220f,
-  -0.449611335992813110f, -0.427555084228515630f,
-  -0.405241310596466060f, -0.382683426141738890f, -0.359895050525665280f,
-  -0.336889863014221190f, -0.313681751489639280f, -0.290284663438797000f,
-  -0.266712754964828490f, -0.242980182170867920f,
-  -0.219101235270500180f, -0.195090323686599730f, -0.170961886644363400f,
-  -0.146730467677116390f, -0.122410677373409270f, -0.098017141222953796f,
-  -0.073564566671848297f, -0.049067676067352295f,
-  -0.024541229009628296f, -0.000000000000000245f, 0.024541229009628296f
-};
+/**
+ * @defgroup sin Sine
+ *
+ * Computes the trigonometric sine function using a combination of table lookup
+ * and linear interpolation.  There are separate functions for
+ * Q15, Q31, and floating-point data types.
+ * The input to the floating-point version is in radians while the
+ * fixed-point Q15 and Q31 have a scaled input with the range
+ * [0 +0.9999] mapping to [0 2*pi).  The fixed-point range is chosen so that a
+ * value of 2*pi wraps around to 0.
+ *
+ * The implementation is based on table lookup using 256 values together with linear interpolation.
+ * The steps used are:
+ *  -# Calculation of the nearest integer table index
+ *  -# Compute the fractional portion (fract) of the table index.
+ *  -# The final result equals <code>(1.0f-fract)*a + fract*b;</code>
+ *
+ * where
+ * <pre>
+ *    b=Table[index+0];
+ *    c=Table[index+1];
+ * </pre>
+ */
 
+/**
+ * @addtogroup sin
+ * @{
+ */
 
-/**   
- * @brief  Fast approximation to the trigonometric sine function for floating-point data.   
- * @param[in] x input value in radians.   
- * @return  sin(x).   
+/**
+ * @brief  Fast approximation to the trigonometric sine function for floating-point data.
+ * @param[in] x input value in radians.
+ * @return  sin(x).
  */
 
 float32_t arm_sin_f32(
   float32_t x)
 {
-  float32_t sinVal, fract, in;                   /* Temporary variables for input, output */
-  int32_t index;                                 /* Index variable */
-  uint32_t tableSize = (uint32_t) TABLE_SIZE;    /* Initialise tablesize */
-  float32_t wa, wb, wc, wd;                      /* Cubic interpolation coefficients */
-  float32_t a, b, c, d;                          /* Four nearest output values */
-  float32_t *tablePtr;                           /* Pointer to table */
+  float32_t sinVal, fract, in;                           /* Temporary variables for input, output */
+  uint16_t index;                                        /* Index variable */
+  float32_t a, b;                                        /* Two nearest output values */
   int32_t n;
-  float32_t fractsq, fractby2, fractby6, fractby3, fractsqby2;
-  float32_t oneminusfractby2;
-  float32_t frby2xfrsq, frby6xfrsq;
+  float32_t findex;
 
   /* input x is in radians */
   /* Scale the input to [0 1] range from [0 2*PI] , divide input by 2*pi */
@@ -229,63 +100,34 @@
   /* Make negative values towards -infinity */
   if(x < 0.0f)
   {
-    n = n - 1;
+    n--;
   }
 
   /* Map input value to [0 1] */
   in = in - (float32_t) n;
 
   /* Calculation of index of the table */
-  index = (uint32_t) (tableSize * in);
-
-  /* fractional value calculation */
-  fract = ((float32_t) tableSize * in) - (float32_t) index;
-
-  /* Checking min and max index of table */
-  if(index < 0)
-  {
-    index = 0;
-  }
-  else if(index > 256)
-  {
-    index = 256;
+  findex = (float32_t) FAST_MATH_TABLE_SIZE * in;
+  if (findex >= 512.0f) {
+    findex -= 512.0f;
   }
 
-  /* Initialise table pointer */
-  tablePtr = (float32_t *) & sinTable[index];
+  index = ((uint16_t)findex) & 0x1ff;
 
-  /* Read four nearest values of input value from the sin table */
-  a = tablePtr[0];
-  b = tablePtr[1];
-  c = tablePtr[2];
-  d = tablePtr[3];
+  /* fractional value calculation */
+  fract = findex - (float32_t) index;
 
-  /* Cubic interpolation process */
-  fractsq = fract * fract;
-  fractby2 = fract * 0.5f;
-  fractby6 = fract * 0.166666667f;
-  fractby3 = fract * 0.3333333333333f;
-  fractsqby2 = fractsq * 0.5f;
-  frby2xfrsq = (fractby2) * fractsq;
-  frby6xfrsq = (fractby6) * fractsq;
-  oneminusfractby2 = 1.0f - fractby2;
-  wb = fractsqby2 - fractby3;
-  wc = (fractsqby2 + fract);
-  wa = wb - frby6xfrsq;
-  wb = frby2xfrsq - fractsq;
-  sinVal = wa * a;
-  wc = wc - frby2xfrsq;
-  wd = (frby6xfrsq) - fractby6;
-  wb = wb + oneminusfractby2;
+  /* Read two nearest values of input value from the sin table */
+  a = sinTable_f32[index];
+  b = sinTable_f32[index+1];
 
-  /* Calculate sin value */
-  sinVal = (sinVal + (b * wb)) + ((c * wc) + (d * wd));
+  /* Linear interpolation process */
+  sinVal = (1.0f-fract)*a + fract*b;
 
   /* Return the output value */
   return (sinVal);
-
 }
 
-/**    
- * @} end of sin group    
+/**
+ * @} end of sin group
  */

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FastMathFunctions/arm_sin_q15.c
--- a/cmsis_dsp/FastMathFunctions/arm_sin_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FastMathFunctions/arm_sin_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_sin_q15.c    
@@ -39,6 +39,7 @@
 * -------------------------------------------------------------------- */
 
 #include "arm_math.h"
+#include "arm_common_tables.h"
 
 /**    
  * @ingroup groupFastMath    
@@ -49,63 +50,6 @@
  * @{    
  */
 
-
-/**   
-* \par    
- * Table values are in Q15 (1.15 fixed-point format) and generation is done in 
- * three steps.  First,  generate sin values in floating point:    
- * <pre>
- * tableSize = 256;
- * for(n = -1; n < (tableSize + 1); n++)    
- * {    
- *	sinTable[n+1]= sin(2*pi*n/tableSize);    
- * } </pre>     
- * where pi value is  3.14159265358979    
- * \par    
- * Second, convert floating-point to Q15 (fixed-point):    
- *	(sinTable[i] * pow(2, 15))    
- * \par    
- * Finally, round to the nearest integer value:
- * 	sinTable[i] += (sinTable[i] > 0 ? 0.5 :-0.5);    
-*/
-
-static const q15_t sinTableQ15[259] = {
-  0xfcdc, 0x0, 0x324, 0x648, 0x96b, 0xc8c, 0xfab, 0x12c8,
-  0x15e2, 0x18f9, 0x1c0c, 0x1f1a, 0x2224, 0x2528, 0x2827, 0x2b1f,
-  0x2e11, 0x30fc, 0x33df, 0x36ba, 0x398d, 0x3c57, 0x3f17, 0x41ce,
-  0x447b, 0x471d, 0x49b4, 0x4c40, 0x4ec0, 0x5134, 0x539b, 0x55f6,
-  0x5843, 0x5a82, 0x5cb4, 0x5ed7, 0x60ec, 0x62f2, 0x64e9, 0x66d0,
-  0x68a7, 0x6a6e, 0x6c24, 0x6dca, 0x6f5f, 0x70e3, 0x7255, 0x73b6,
-  0x7505, 0x7642, 0x776c, 0x7885, 0x798a, 0x7a7d, 0x7b5d, 0x7c2a,
-  0x7ce4, 0x7d8a, 0x7e1e, 0x7e9d, 0x7f0a, 0x7f62, 0x7fa7, 0x7fd9,
-  0x7ff6, 0x7fff, 0x7ff6, 0x7fd9, 0x7fa7, 0x7f62, 0x7f0a, 0x7e9d,
-  0x7e1e, 0x7d8a, 0x7ce4, 0x7c2a, 0x7b5d, 0x7a7d, 0x798a, 0x7885,
-  0x776c, 0x7642, 0x7505, 0x73b6, 0x7255, 0x70e3, 0x6f5f, 0x6dca,
-  0x6c24, 0x6a6e, 0x68a7, 0x66d0, 0x64e9, 0x62f2, 0x60ec, 0x5ed7,
-  0x5cb4, 0x5a82, 0x5843, 0x55f6, 0x539b, 0x5134, 0x4ec0, 0x4c40,
-  0x49b4, 0x471d, 0x447b, 0x41ce, 0x3f17, 0x3c57, 0x398d, 0x36ba,
-  0x33df, 0x30fc, 0x2e11, 0x2b1f, 0x2827, 0x2528, 0x2224, 0x1f1a,
-  0x1c0c, 0x18f9, 0x15e2, 0x12c8, 0xfab, 0xc8c, 0x96b, 0x648,
-  0x324, 0x0, 0xfcdc, 0xf9b8, 0xf695, 0xf374, 0xf055, 0xed38,
-  0xea1e, 0xe707, 0xe3f4, 0xe0e6, 0xdddc, 0xdad8, 0xd7d9, 0xd4e1,
-  0xd1ef, 0xcf04, 0xcc21, 0xc946, 0xc673, 0xc3a9, 0xc0e9, 0xbe32,
-  0xbb85, 0xb8e3, 0xb64c, 0xb3c0, 0xb140, 0xaecc, 0xac65, 0xaa0a,
-  0xa7bd, 0xa57e, 0xa34c, 0xa129, 0x9f14, 0x9d0e, 0x9b17, 0x9930,
-  0x9759, 0x9592, 0x93dc, 0x9236, 0x90a1, 0x8f1d, 0x8dab, 0x8c4a,
-  0x8afb, 0x89be, 0x8894, 0x877b, 0x8676, 0x8583, 0x84a3, 0x83d6,
-  0x831c, 0x8276, 0x81e2, 0x8163, 0x80f6, 0x809e, 0x8059, 0x8027,
-  0x800a, 0x8000, 0x800a, 0x8027, 0x8059, 0x809e, 0x80f6, 0x8163,
-  0x81e2, 0x8276, 0x831c, 0x83d6, 0x84a3, 0x8583, 0x8676, 0x877b,
-  0x8894, 0x89be, 0x8afb, 0x8c4a, 0x8dab, 0x8f1d, 0x90a1, 0x9236,
-  0x93dc, 0x9592, 0x9759, 0x9930, 0x9b17, 0x9d0e, 0x9f14, 0xa129,
-  0xa34c, 0xa57e, 0xa7bd, 0xaa0a, 0xac65, 0xaecc, 0xb140, 0xb3c0,
-  0xb64c, 0xb8e3, 0xbb85, 0xbe32, 0xc0e9, 0xc3a9, 0xc673, 0xc946,
-  0xcc21, 0xcf04, 0xd1ef, 0xd4e1, 0xd7d9, 0xdad8, 0xdddc, 0xe0e6,
-  0xe3f4, 0xe707, 0xea1e, 0xed38, 0xf055, 0xf374, 0xf695, 0xf9b8,
-  0xfcdc, 0x0, 0x324
-};
-
-
 /**   
  * @brief Fast approximation to the trigonometric sine function for Q15 data.   
  * @param[in] x Scaled input value in radians.   
@@ -117,98 +61,26 @@
 q15_t arm_sin_q15(
   q15_t x)
 {
-  q31_t sinVal;                                  /* Temporary variables output */
-  q15_t *tablePtr;                               /* Pointer to table */
-  q15_t fract, in, in2;                          /* Temporary variables for input, output */
-  q31_t wa, wb, wc, wd;                          /* Cubic interpolation coefficients */
-  q15_t a, b, c, d;                              /* Four nearest output values */
-  q15_t fractCube, fractSquare;                  /* Temporary values for fractional value */
-  q15_t oneBy6 = 0x1555;                         /* Fixed point value of 1/6 */
-  q15_t tableSpacing = TABLE_SPACING_Q15;        /* Table spacing */
-  int32_t index;                                 /* Index variable */
-
-  in = x;
+  q15_t sinVal;                                  /* Temporary variables for input, output */
+  int32_t index;                                 /* Index variables */
+  q15_t a, b;                                    /* Four nearest output values */
+  q15_t fract;                                   /* Temporary values for fractional values */
 
   /* Calculate the nearest index */
-  index = (int32_t) in / tableSpacing;
-
-  /* Calculate the nearest value of input */
-  in2 = (q15_t) ((index) * tableSpacing);
+  index = (uint32_t)x >> FAST_MATH_Q15_SHIFT;
 
   /* Calculation of fractional value */
-  fract = (in - in2) << 8;
-
-  /* fractSquare = fract * fract */
-  fractSquare = (q15_t) ((fract * fract) >> 15);
-
-  /* fractCube = fract * fract * fract */
-  fractCube = (q15_t) ((fractSquare * fract) >> 15);
+  fract = (x - (index << FAST_MATH_Q15_SHIFT)) << 9;
 
-  /* Checking min and max index of table */
-  if(index < 0)
-  {
-    index = 0;
-  }
-  else if(index > 256)
-  {
-    index = 256;
-  }
-
-  /* Initialise table pointer */
-  tablePtr = (q15_t *) & sinTableQ15[index];
-
-  /* Cubic interpolation process */
-  /* Calculation of wa */
-  /* wa = -(oneBy6)*fractCube + (fractSquare >> 1u) - (0x2AAA)*fract; */
-  wa = (q31_t) oneBy6 *fractCube;
-  wa += (q31_t) 0x2AAA *fract;
-  wa = -(wa >> 15);
-  wa += ((q31_t) fractSquare >> 1u);
-
-  /* Read first nearest value of output from the sin table */
-  a = *tablePtr++;
-
-  /* sinVal = a * wa */
-  sinVal = a * wa;
+  /* Read two nearest values of input value from the sin table */
+  a = sinTable_q15[index];
+  b = sinTable_q15[index+1];
 
-  /* Calculation of wb */
-  wb = (((q31_t) fractCube >> 1u) - (q31_t) fractSquare) -
-    (((q31_t) fract >> 1u) - 0x7FFF);
-
-  /* Read second nearest value of output from the sin table */
-  b = *tablePtr++;
-
-  /*      sinVal += b*wb */
-  sinVal += b * wb;
-
-
-  /* Calculation of wc */
-  wc = -(q31_t) fractCube + fractSquare;
-  wc = (wc >> 1u) + fract;
-
-  /* Read third nearest value of output from the sin table */
-  c = *tablePtr++;
+  /* Linear interpolation process */
+  sinVal = (q31_t)(0x8000-fract)*a >> 16;
+  sinVal = (q15_t)((((q31_t)sinVal << 16) + ((q31_t)fract*b)) >> 16);
 
-  /* sinVal += c*wc */
-  sinVal += c * wc;
-
-  /* Calculation of wd */
-  /* wd = (oneBy6)*fractCube - (oneBy6)*fract; */
-  fractCube = fractCube - fract;
-  wd = ((q15_t) (((q31_t) oneBy6 * fractCube) >> 15));
-
-  /* Read fourth nearest value of output from the sin table */
-  d = *tablePtr++;
-
-  /* sinVal += d*wd; */
-  sinVal += d * wd;
-
-  /* Convert output value in 1.15(q15) format and saturate */
-  sinVal = __SSAT((sinVal >> 15), 16);
-
-  /* Return the output value in 1.15(q15) format */
-  return ((q15_t) sinVal);
-
+  return sinVal << 1;
 }
 
 /**    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FastMathFunctions/arm_sin_q31.c
--- a/cmsis_dsp/FastMathFunctions/arm_sin_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FastMathFunctions/arm_sin_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_sin_q31.c    
@@ -39,6 +39,7 @@
 * -------------------------------------------------------------------- */
 
 #include "arm_math.h"
+#include "arm_common_tables.h"
 
 /**    
  * @ingroup groupFastMath    
@@ -50,94 +51,6 @@
  */
 
 /**   
- * \par    
- * Table values are in Q31 (1.31 fixed-point format) and generation is done in 
- * three steps.  First,  generate sin values in floating point:    
- * <pre>
- * tableSize = 256;      
- * for(n = -1; n < (tableSize + 1); n++)    
- * {    
- *	sinTable[n+1]= sin(2*pi*n/tableSize);    
- * } </pre>    
- * where pi value is  3.14159265358979    
- * \par    
- * Second, convert floating-point to Q31 (Fixed point):
- *	(sinTable[i] * pow(2, 31))    
- * \par    
- * Finally, round to the nearest integer value:
- * 	sinTable[i] += (sinTable[i] > 0 ? 0.5 :-0.5);    
- */
-
-static const q31_t sinTableQ31[259] = {
-  0xfcdbd541, 0x0, 0x3242abf, 0x647d97c, 0x96a9049, 0xc8bd35e, 0xfab272b,
-  0x12c8106f,
-  0x15e21445, 0x18f8b83c, 0x1c0b826a, 0x1f19f97b, 0x2223a4c5, 0x25280c5e,
-  0x2826b928, 0x2b1f34eb,
-  0x2e110a62, 0x30fbc54d, 0x33def287, 0x36ba2014, 0x398cdd32, 0x3c56ba70,
-  0x3f1749b8, 0x41ce1e65,
-  0x447acd50, 0x471cece7, 0x49b41533, 0x4c3fdff4, 0x4ebfe8a5, 0x5133cc94,
-  0x539b2af0, 0x55f5a4d2,
-  0x5842dd54, 0x5a82799a, 0x5cb420e0, 0x5ed77c8a, 0x60ec3830, 0x62f201ac,
-  0x64e88926, 0x66cf8120,
-  0x68a69e81, 0x6a6d98a4, 0x6c242960, 0x6dca0d14, 0x6f5f02b2, 0x70e2cbc6,
-  0x72552c85, 0x73b5ebd1,
-  0x7504d345, 0x7641af3d, 0x776c4edb, 0x78848414, 0x798a23b1, 0x7a7d055b,
-  0x7b5d039e, 0x7c29fbee,
-  0x7ce3ceb2, 0x7d8a5f40, 0x7e1d93ea, 0x7e9d55fc, 0x7f0991c4, 0x7f62368f,
-  0x7fa736b4, 0x7fd8878e,
-  0x7ff62182, 0x7fffffff, 0x7ff62182, 0x7fd8878e, 0x7fa736b4, 0x7f62368f,
-  0x7f0991c4, 0x7e9d55fc,
-  0x7e1d93ea, 0x7d8a5f40, 0x7ce3ceb2, 0x7c29fbee, 0x7b5d039e, 0x7a7d055b,
-  0x798a23b1, 0x78848414,
-  0x776c4edb, 0x7641af3d, 0x7504d345, 0x73b5ebd1, 0x72552c85, 0x70e2cbc6,
-  0x6f5f02b2, 0x6dca0d14,
-  0x6c242960, 0x6a6d98a4, 0x68a69e81, 0x66cf8120, 0x64e88926, 0x62f201ac,
-  0x60ec3830, 0x5ed77c8a,
-  0x5cb420e0, 0x5a82799a, 0x5842dd54, 0x55f5a4d2, 0x539b2af0, 0x5133cc94,
-  0x4ebfe8a5, 0x4c3fdff4,
-  0x49b41533, 0x471cece7, 0x447acd50, 0x41ce1e65, 0x3f1749b8, 0x3c56ba70,
-  0x398cdd32, 0x36ba2014,
-  0x33def287, 0x30fbc54d, 0x2e110a62, 0x2b1f34eb, 0x2826b928, 0x25280c5e,
-  0x2223a4c5, 0x1f19f97b,
-  0x1c0b826a, 0x18f8b83c, 0x15e21445, 0x12c8106f, 0xfab272b, 0xc8bd35e,
-  0x96a9049, 0x647d97c,
-  0x3242abf, 0x0, 0xfcdbd541, 0xf9b82684, 0xf6956fb7, 0xf3742ca2, 0xf054d8d5,
-  0xed37ef91,
-  0xea1debbb, 0xe70747c4, 0xe3f47d96, 0xe0e60685, 0xdddc5b3b, 0xdad7f3a2,
-  0xd7d946d8, 0xd4e0cb15,
-  0xd1eef59e, 0xcf043ab3, 0xcc210d79, 0xc945dfec, 0xc67322ce, 0xc3a94590,
-  0xc0e8b648, 0xbe31e19b,
-  0xbb8532b0, 0xb8e31319, 0xb64beacd, 0xb3c0200c, 0xb140175b, 0xaecc336c,
-  0xac64d510, 0xaa0a5b2e,
-  0xa7bd22ac, 0xa57d8666, 0xa34bdf20, 0xa1288376, 0x9f13c7d0, 0x9d0dfe54,
-  0x9b1776da, 0x99307ee0,
-  0x9759617f, 0x9592675c, 0x93dbd6a0, 0x9235f2ec, 0x90a0fd4e, 0x8f1d343a,
-  0x8daad37b, 0x8c4a142f,
-  0x8afb2cbb, 0x89be50c3, 0x8893b125, 0x877b7bec, 0x8675dc4f, 0x8582faa5,
-  0x84a2fc62, 0x83d60412,
-  0x831c314e, 0x8275a0c0, 0x81e26c16, 0x8162aa04, 0x80f66e3c, 0x809dc971,
-  0x8058c94c, 0x80277872,
-  0x8009de7e, 0x80000000, 0x8009de7e, 0x80277872, 0x8058c94c, 0x809dc971,
-  0x80f66e3c, 0x8162aa04,
-  0x81e26c16, 0x8275a0c0, 0x831c314e, 0x83d60412, 0x84a2fc62, 0x8582faa5,
-  0x8675dc4f, 0x877b7bec,
-  0x8893b125, 0x89be50c3, 0x8afb2cbb, 0x8c4a142f, 0x8daad37b, 0x8f1d343a,
-  0x90a0fd4e, 0x9235f2ec,
-  0x93dbd6a0, 0x9592675c, 0x9759617f, 0x99307ee0, 0x9b1776da, 0x9d0dfe54,
-  0x9f13c7d0, 0xa1288376,
-  0xa34bdf20, 0xa57d8666, 0xa7bd22ac, 0xaa0a5b2e, 0xac64d510, 0xaecc336c,
-  0xb140175b, 0xb3c0200c,
-  0xb64beacd, 0xb8e31319, 0xbb8532b0, 0xbe31e19b, 0xc0e8b648, 0xc3a94590,
-  0xc67322ce, 0xc945dfec,
-  0xcc210d79, 0xcf043ab3, 0xd1eef59e, 0xd4e0cb15, 0xd7d946d8, 0xdad7f3a2,
-  0xdddc5b3b, 0xe0e60685,
-  0xe3f47d96, 0xe70747c4, 0xea1debbb, 0xed37ef91, 0xf054d8d5, 0xf3742ca2,
-  0xf6956fb7, 0xf9b82684,
-  0xfcdbd541, 0x0, 0x3242abf
-};
-
-
-/**   
  * @brief Fast approximation to the trigonometric sine function for Q31 data.
  * @param[in] x Scaled input value in radians.
  * @return  sin(x).
@@ -147,100 +60,26 @@
 q31_t arm_sin_q31(
   q31_t x)
 {
-  q31_t sinVal, in, in2;                         /* Temporary variables for input, output */
+  q31_t sinVal;                                  /* Temporary variables for input, output */
   int32_t index;                                 /* Index variables */
-  q31_t wa, wb, wc, wd;                          /* Cubic interpolation coefficients */
-  q31_t a, b, c, d;                              /* Four nearest output values */
-  q31_t *tablePtr;                               /* Pointer to table */
-  q31_t fract, fractCube, fractSquare;           /* Temporary values for fractional values */
-  q31_t oneBy6 = 0x15555555;                     /* Fixed point value of 1/6 */
-  q31_t tableSpacing = TABLE_SPACING_Q31;        /* Table spacing */
-  q31_t temp;                                    /* Temporary variable for intermediate process */
-
-  in = x;
+  q31_t a, b;                                    /* Four nearest output values */
+  q31_t fract;                                   /* Temporary values for fractional values */
 
   /* Calculate the nearest index */
-  index = (uint32_t) in / (uint32_t) tableSpacing;
-
-  /* Calculate the nearest value of input */
-  in2 = (q31_t) index *tableSpacing;
+  index = (uint32_t)x >> FAST_MATH_Q31_SHIFT;
 
   /* Calculation of fractional value */
-  fract = (in - in2) << 8;
-
-  /* fractSquare = fract * fract */
-  fractSquare = ((q31_t) (((q63_t) fract * fract) >> 32));
-  fractSquare = fractSquare << 1;
-
-  /* fractCube = fract * fract * fract */
-  fractCube = ((q31_t) (((q63_t) fractSquare * fract) >> 32));
-  fractCube = fractCube << 1;
+  fract = (x - (index << FAST_MATH_Q31_SHIFT)) << 9;
 
-  /* Checking min and max index of table */
-  if(index < 0)
-  {
-    index = 0;
-  }
-  else if(index > 256)
-  {
-    index = 256;
-  }
-
-  /* Initialise table pointer */
-  tablePtr = (q31_t *) & sinTableQ31[index];
-
-  /* Cubic interpolation process */
-  /* Calculation of wa */
-  /* wa = -(oneBy6)*fractCube + (fractSquare >> 1u) - (0x2AAAAAAA)*fract; */
-  wa = ((q31_t) (((q63_t) oneBy6 * fractCube) >> 32));
-  temp = 0x2AAAAAAA;
-  wa = (q31_t) ((((q63_t) wa << 32) + ((q63_t) temp * fract)) >> 32);
-  wa = -(wa << 1u);
-  wa += (fractSquare >> 1u);
-
-  /* Read first nearest value of output from the sin table */
-  a = *tablePtr++;
-
-  /* sinVal = a*wa */
-  sinVal = ((q31_t) (((q63_t) a * wa) >> 32));
+  /* Read two nearest values of input value from the sin table */
+  a = sinTable_q31[index];
+  b = sinTable_q31[index+1];
 
-  /* q31(1.31) Fixed point value of 1 */
-  temp = 0x7FFFFFFF;
-
-  /* Calculation of wb */
-  wb = ((fractCube >> 1u) - (fractSquare + (fract >> 1u))) + temp;
-
-  /* Read second nearest value of output from the sin table */
-  b = *tablePtr++;
-
-  /*  sinVal += b*wb */
-  sinVal = (q31_t) ((((q63_t) sinVal << 32) + (q63_t) b * (wb)) >> 32);
-
-  /* Calculation of wc */
-  wc = -fractCube + fractSquare;
-  wc = (wc >> 1u) + fract;
-
-  /* Read third nearest value of output from the sin table */
-  c = *tablePtr++;
+  /* Linear interpolation process */
+  sinVal = (q63_t)(0x80000000-fract)*a >> 32;
+  sinVal = (q31_t)((((q63_t)sinVal << 32) + ((q63_t)fract*b)) >> 32);
 
-  /*      sinVal += c*wc */
-  sinVal = (q31_t) ((((q63_t) sinVal << 32) + ((q63_t) c * wc)) >> 32);
-
-  /* Calculation of wd */
-  /* wd = (oneBy6) * fractCube - (oneBy6) * fract; */
-  fractCube = fractCube - fract;
-  wd = ((q31_t) (((q63_t) oneBy6 * fractCube) >> 32));
-  wd = (wd << 1u);
-
-  /* Read fourth nearest value of output from the sin table */
-  d = *tablePtr++;
-
-  /* sinVal += d*wd; */
-  sinVal = (q31_t) ((((q63_t) sinVal << 32) + ((q63_t) d * wd)) >> 32);
-
-  /* convert sinVal in 2.30 format to 1.31 format */
-  return (__QADD(sinVal, sinVal));
-
+  return sinVal << 1;
 }
 
 /**    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FastMathFunctions/arm_sqrt_q15.c
--- a/cmsis_dsp/FastMathFunctions/arm_sqrt_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FastMathFunctions/arm_sqrt_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------     
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.  
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.  
 *     
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. October 2015
+* $Revision: 	V.1.4.5 a
 *     
 * Project:      CMSIS DSP Library  
 * Title:		arm_sqrt_q15.c     
@@ -94,13 +94,13 @@
     /* Store the number for later use */
     temp1 = number;
 
-    /*Convert to float */
+    /* Convert to float */
     temp_float1 = number * 3.051757812500000e-005f;
     /*Store as integer */
     tempconv.floatval = temp_float1;
     bits_val1 = tempconv.fracval;
     /* Subtract the shifted value from the magic number to give intial guess */
-    bits_val1 = 0x5f3759df - (bits_val1 >> 1);  // gives initial guess  
+    bits_val1 = 0x5f3759df - (bits_val1 >> 1);  /* gives initial guess */
     /* Store as float */
     tempconv.fracval = bits_val1;
     temp_float1 = tempconv.floatval;

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FastMathFunctions/arm_sqrt_q31.c
--- a/cmsis_dsp/FastMathFunctions/arm_sqrt_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FastMathFunctions/arm_sqrt_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------     
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.  
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.  
 *     
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. October 2015
+* $Revision: 	V.1.4.5 a
 *     
 * Project:      CMSIS DSP Library  
 * Title:		arm_sqrt_q31.c     
@@ -98,7 +98,7 @@
     tempconv.floatval = temp_float1;
     bits_val1 = tempconv.fracval;
     /* Subtract the shifted value from the magic number to give intial guess */
-    bits_val1 = 0x5f3759df - (bits_val1 >> 1);  // gives initial guess  
+    bits_val1 = 0x5f3759df - (bits_val1 >> 1);  /* gives initial guess */
     /* Store as float */
     tempconv.fracval = bits_val1;
     temp_float1 = tempconv.floatval;

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df1_32x64_init_q31.c
--- a/cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df1_32x64_init_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df1_32x64_init_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_biquad_cascade_df1_32x64_init_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df1_32x64_q31.c
--- a/cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df1_32x64_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df1_32x64_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. October 2015
+* $Revision: 	V.1.4.5 a
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_biquad_cascade_df1_32x64_q31.c    
@@ -438,10 +438,10 @@
 
       /* Store the output in the destination buffer in 1.31 format. */
       *pOut++ = acc_h;
-      //Yn1 = acc << shift; 
+      /* Yn1 = acc << shift; */
 
       /* Store the output in the destination buffer in 1.31 format. */
-//      *pOut++ = (q31_t) (acc >> (32 - shift)); 
+/*      *pOut++ = (q31_t) (acc >> (32 - shift));  */
 
       /* decrement the loop counter */
       sample--;
@@ -530,10 +530,10 @@
       /* Store the output in the destination buffer in 1.31 format. */
       *pOut++ = acc_h;
 
-      //Yn1 = acc << shift; 
+      /* Yn1 = acc << shift; */
 
       /* Store the output in the destination buffer in 1.31 format. */
-      //*pOut++ = (q31_t) (acc >> (32 - shift)); 
+      /* *pOut++ = (q31_t) (acc >> (32 - shift)); */
 
       /* decrement the loop counter */
       sample--;

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df1_f32.c
--- a/cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df1_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df1_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_biquad_cascade_df1_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df1_fast_q15.c
--- a/cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df1_fast_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df1_fast_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_biquad_cascade_df1_fast_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df1_fast_q31.c
--- a/cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df1_fast_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df1_fast_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. October 2015
+* $Revision: 	V.1.4.5 a
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_biquad_cascade_df1_fast_q31.c    
@@ -124,19 +124,19 @@
 
       /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
       /* acc =  b0 * x[n] */
-      //acc = (q31_t) (((q63_t) b1 * Xn1) >> 32);
+      /*acc = (q31_t) (((q63_t) b1 * Xn1) >> 32);*/
       mult_32x32_keep32_R(acc, b1, Xn1);
       /* acc +=  b1 * x[n-1] */
-      //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b0 * (Xn))) >> 32);   
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b0 * (Xn))) >> 32);*/
       multAcc_32x32_keep32_R(acc, b0, Xn);
       /* acc +=  b[2] * x[n-2] */
-      //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn2))) >> 32);
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn2))) >> 32);*/
       multAcc_32x32_keep32_R(acc, b2, Xn2);
       /* acc +=  a1 * y[n-1] */
-      //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn1))) >> 32);
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn1))) >> 32);*/
       multAcc_32x32_keep32_R(acc, a1, Yn1);
       /* acc +=  a2 * y[n-2] */
-      //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn2))) >> 32);
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn2))) >> 32);*/
       multAcc_32x32_keep32_R(acc, a2, Yn2);
 
       /* The result is converted to 1.31 , Yn2 variable is reused */
@@ -150,19 +150,19 @@
 
       /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
       /* acc =  b0 * x[n] */
-      //acc = (q31_t) (((q63_t) b0 * (Xn2)) >> 32);
+      /*acc = (q31_t) (((q63_t) b0 * (Xn2)) >> 32);*/
       mult_32x32_keep32_R(acc, b0, Xn2);
       /* acc +=  b1 * x[n-1] */
-      //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn))) >> 32);
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn))) >> 32);*/
       multAcc_32x32_keep32_R(acc, b1, Xn);
       /* acc +=  b[2] * x[n-2] */
-      //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn1))) >> 32);
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn1))) >> 32);*/
       multAcc_32x32_keep32_R(acc, b2, Xn1);
       /* acc +=  a1 * y[n-1] */
-      //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn2))) >> 32);
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn2))) >> 32);*/
       multAcc_32x32_keep32_R(acc, a1, Yn2);
       /* acc +=  a2 * y[n-2] */
-      //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn1))) >> 32);
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn1))) >> 32);*/
       multAcc_32x32_keep32_R(acc, a2, Yn1);
 
       /* The result is converted to 1.31, Yn1 variable is reused  */
@@ -176,19 +176,19 @@
 
       /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
       /* acc =  b0 * x[n] */
-      //acc = (q31_t) (((q63_t) b0 * (Xn1)) >> 32);
+      /*acc = (q31_t) (((q63_t) b0 * (Xn1)) >> 32);*/
       mult_32x32_keep32_R(acc, b0, Xn1);
       /* acc +=  b1 * x[n-1] */
-      //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn2))) >> 32);
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn2))) >> 32);*/
       multAcc_32x32_keep32_R(acc, b1, Xn2);
       /* acc +=  b[2] * x[n-2] */
-      //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn))) >> 32);
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn))) >> 32);*/
       multAcc_32x32_keep32_R(acc, b2, Xn);
       /* acc +=  a1 * y[n-1] */
-      //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn1))) >> 32);
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn1))) >> 32);*/
       multAcc_32x32_keep32_R(acc, a1, Yn1);
       /* acc +=  a2 * y[n-2] */
-      //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn2))) >> 32);
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn2))) >> 32);*/
       multAcc_32x32_keep32_R(acc, a2, Yn2);
 
       /* The result is converted to 1.31, Yn2 variable is reused  */
@@ -203,19 +203,19 @@
 
       /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
       /* acc =  b0 * x[n] */
-      //acc = (q31_t) (((q63_t) b0 * (Xn)) >> 32);
+      /*acc = (q31_t) (((q63_t) b0 * (Xn)) >> 32);*/
       mult_32x32_keep32_R(acc, b0, Xn);
       /* acc +=  b1 * x[n-1] */
-      //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn1))) >> 32);
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn1))) >> 32);*/
       multAcc_32x32_keep32_R(acc, b1, Xn1);
       /* acc +=  b[2] * x[n-2] */
-      //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn2))) >> 32);
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn2))) >> 32);*/
       multAcc_32x32_keep32_R(acc, b2, Xn2);
       /* acc +=  a1 * y[n-1] */
-      //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn2))) >> 32);
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn2))) >> 32);*/
       multAcc_32x32_keep32_R(acc, a1, Yn2);
       /* acc +=  a2 * y[n-2] */
-      //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn1))) >> 32);
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn1))) >> 32);*/
       multAcc_32x32_keep32_R(acc, a2, Yn1);
 
       /* Every time after the output is computed state should be updated. */
@@ -248,19 +248,19 @@
 
       /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
       /* acc =  b0 * x[n] */
-      //acc = (q31_t) (((q63_t) b0 * (Xn)) >> 32);
+      /*acc = (q31_t) (((q63_t) b0 * (Xn)) >> 32);*/
       mult_32x32_keep32_R(acc, b0, Xn);
       /* acc +=  b1 * x[n-1] */
-      //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn1))) >> 32);
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn1))) >> 32);*/
       multAcc_32x32_keep32_R(acc, b1, Xn1);
       /* acc +=  b[2] * x[n-2] */
-      //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn2))) >> 32);
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn2))) >> 32);*/
       multAcc_32x32_keep32_R(acc, b2, Xn2);
       /* acc +=  a1 * y[n-1] */
-      //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn1))) >> 32);
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn1))) >> 32);*/
       multAcc_32x32_keep32_R(acc, a1, Yn1);
       /* acc +=  a2 * y[n-2] */
-      //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn2))) >> 32);
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn2))) >> 32);*/
       multAcc_32x32_keep32_R(acc, a2, Yn2);
 
       /* The result is converted to 1.31  */

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df1_init_f32.c
--- a/cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df1_init_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df1_init_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:        arm_biquad_cascade_df1_init_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df1_init_q15.c
--- a/cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df1_init_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df1_init_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:        arm_biquad_cascade_df1_init_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df1_init_q31.c
--- a/cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df1_init_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df1_init_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_biquad_cascade_df1_init_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df1_q15.c
--- a/cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df1_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df1_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_biquad_cascade_df1_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df1_q31.c
--- a/cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df1_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df1_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_biquad_cascade_df1_q31.c    
@@ -90,7 +90,7 @@
   uint32_t sample, stage = S->numStages;         /*  loop counters                     */
 
 
-#ifndef ARM_MATH_CM0_FAMILY
+#ifndef ARM_MATH_CM0_FAMILY_FAMILY
 
   q31_t acc_l, acc_h;                            /*  temporary output variables    */
 
@@ -394,9 +394,12 @@
 
   } while(--stage);
 
-#endif /*  #ifndef ARM_MATH_CM0_FAMILY */
+#endif /*  #ifndef ARM_MATH_CM0_FAMILY_FAMILY */
 }
 
+
+
+
 /**    
   * @} end of BiquadCascadeDF1 group    
   */

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df2T_f32.c
--- a/cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df2T_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df2T_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,7 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013  
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_biquad_cascade_df2T_f32.c    
@@ -168,7 +169,307 @@
    float32_t d1, d2;                              /*  state variables           */
    uint32_t sample, stage = S->numStages;         /*  loop counters             */
 
-#ifndef ARM_MATH_CM0_FAMILY_FAMILY
+#if defined(ARM_MATH_CM7)
+	
+   float32_t Xn2, Xn3, Xn4, Xn5, Xn6, Xn7, Xn8;   /*  Input State variables     */
+   float32_t Xn9, Xn10, Xn11, Xn12, Xn13, Xn14, Xn15, Xn16;
+   float32_t acc2, acc3, acc4, acc5, acc6, acc7;  /*  Simulates the accumulator */
+   float32_t acc8, acc9, acc10, acc11, acc12, acc13, acc14, acc15, acc16;
+
+   do
+   {
+      /* Reading the coefficients */ 
+      b0 = pCoeffs[0]; 
+      b1 = pCoeffs[1]; 
+      b2 = pCoeffs[2]; 
+      a1 = pCoeffs[3]; 
+      /* Apply loop unrolling and compute 16 output values simultaneously. */ 
+      sample = blockSize >> 4u; 
+      a2 = pCoeffs[4]; 
+
+      /*Reading the state values */ 
+      d1 = pState[0]; 
+      d2 = pState[1]; 
+
+      pCoeffs += 5u;
+
+      
+      /* First part of the processing with loop unrolling.  Compute 16 outputs at a time.       
+       ** a second loop below computes the remaining 1 to 15 samples. */
+      while(sample > 0u) {
+
+         /* y[n] = b0 * x[n] + d1 */
+         /* d1 = b1 * x[n] + a1 * y[n] + d2 */
+         /* d2 = b2 * x[n] + a2 * y[n] */
+
+         /* Read the first 2 inputs. 2 cycles */
+         Xn1  = pIn[0 ];
+         Xn2  = pIn[1 ];
+
+         /* Sample 1. 5 cycles */
+         Xn3  = pIn[2 ];
+         acc1 = b0 * Xn1 + d1;
+         
+         Xn4  = pIn[3 ];
+         d1 = b1 * Xn1 + d2;
+         
+         Xn5  = pIn[4 ];
+         d2 = b2 * Xn1;
+         
+         Xn6  = pIn[5 ];
+         d1 += a1 * acc1;
+         
+         Xn7  = pIn[6 ];
+         d2 += a2 * acc1;
+
+         /* Sample 2. 5 cycles */
+         Xn8  = pIn[7 ];
+         acc2 = b0 * Xn2 + d1;
+         
+         Xn9  = pIn[8 ];
+         d1 = b1 * Xn2 + d2;
+         
+         Xn10 = pIn[9 ];
+         d2 = b2 * Xn2;
+         
+         Xn11 = pIn[10];
+         d1 += a1 * acc2;
+         
+         Xn12 = pIn[11];
+         d2 += a2 * acc2;
+
+         /* Sample 3. 5 cycles */
+         Xn13 = pIn[12];
+         acc3 = b0 * Xn3 + d1;
+         
+         Xn14 = pIn[13];
+         d1 = b1 * Xn3 + d2;
+         
+         Xn15 = pIn[14];
+         d2 = b2 * Xn3;
+         
+         Xn16 = pIn[15];
+         d1 += a1 * acc3;
+         
+         pIn += 16;
+         d2 += a2 * acc3;
+
+         /* Sample 4. 5 cycles */
+         acc4 = b0 * Xn4 + d1;
+         d1 = b1 * Xn4 + d2;
+         d2 = b2 * Xn4;
+         d1 += a1 * acc4;
+         d2 += a2 * acc4;
+
+         /* Sample 5. 5 cycles */
+         acc5 = b0 * Xn5 + d1;
+         d1 = b1 * Xn5 + d2;
+         d2 = b2 * Xn5;
+         d1 += a1 * acc5;
+         d2 += a2 * acc5;
+
+         /* Sample 6. 5 cycles */
+         acc6 = b0 * Xn6 + d1;
+         d1 = b1 * Xn6 + d2;
+         d2 = b2 * Xn6;
+         d1 += a1 * acc6;
+         d2 += a2 * acc6;
+
+         /* Sample 7. 5 cycles */
+         acc7 = b0 * Xn7 + d1;
+         d1 = b1 * Xn7 + d2;
+         d2 = b2 * Xn7;
+         d1 += a1 * acc7;
+         d2 += a2 * acc7;
+
+         /* Sample 8. 5 cycles */
+         acc8 = b0 * Xn8 + d1;
+         d1 = b1 * Xn8 + d2;
+         d2 = b2 * Xn8;
+         d1 += a1 * acc8;
+         d2 += a2 * acc8;
+
+         /* Sample 9. 5 cycles */
+         acc9 = b0 * Xn9 + d1;
+         d1 = b1 * Xn9 + d2;
+         d2 = b2 * Xn9;
+         d1 += a1 * acc9;
+         d2 += a2 * acc9;
+
+         /* Sample 10. 5 cycles */
+         acc10 = b0 * Xn10 + d1;
+         d1 = b1 * Xn10 + d2;
+         d2 = b2 * Xn10;
+         d1 += a1 * acc10;
+         d2 += a2 * acc10;
+
+         /* Sample 11. 5 cycles */
+         acc11 = b0 * Xn11 + d1;
+         d1 = b1 * Xn11 + d2;
+         d2 = b2 * Xn11;
+         d1 += a1 * acc11;
+         d2 += a2 * acc11;
+
+         /* Sample 12. 5 cycles */
+         acc12 = b0 * Xn12 + d1;
+         d1 = b1 * Xn12 + d2;
+         d2 = b2 * Xn12;
+         d1 += a1 * acc12;
+         d2 += a2 * acc12;
+
+         /* Sample 13. 5 cycles */
+         acc13 = b0 * Xn13 + d1;         
+         d1 = b1 * Xn13 + d2;         
+         d2 = b2 * Xn13;
+         
+         pOut[0 ] = acc1 ;
+         d1 += a1 * acc13;
+         
+         pOut[1 ] = acc2 ;	
+         d2 += a2 * acc13;
+
+         /* Sample 14. 5 cycles */
+         pOut[2 ] = acc3 ;	
+         acc14 = b0 * Xn14 + d1;
+             
+         pOut[3 ] = acc4 ;
+         d1 = b1 * Xn14 + d2;
+          
+         pOut[4 ] = acc5 ; 
+         d2 = b2 * Xn14;
+         
+         pOut[5 ] = acc6 ;	  
+         d1 += a1 * acc14;
+         
+         pOut[6 ] = acc7 ;	
+         d2 += a2 * acc14;
+
+         /* Sample 15. 5 cycles */
+         pOut[7 ] = acc8 ;
+         pOut[8 ] = acc9 ;  
+         acc15 = b0 * Xn15 + d1;
+              
+         pOut[9 ] = acc10;	
+         d1 = b1 * Xn15 + d2;
+         
+         pOut[10] = acc11;	
+         d2 = b2 * Xn15;
+         
+         pOut[11] = acc12;
+         d1 += a1 * acc15;
+         
+         pOut[12] = acc13;
+         d2 += a2 * acc15;
+
+         /* Sample 16. 5 cycles */
+         pOut[13] = acc14;	
+         acc16 = b0 * Xn16 + d1;
+         
+         pOut[14] = acc15;	
+         d1 = b1 * Xn16 + d2;
+         
+         pOut[15] = acc16;
+         d2 = b2 * Xn16;
+         
+         sample--;	 
+         d1 += a1 * acc16;
+         
+         pOut += 16;
+         d2 += a2 * acc16;
+      }
+
+      sample = blockSize & 0xFu;
+      while(sample > 0u) {
+         Xn1 = *pIn;         
+         acc1 = b0 * Xn1 + d1;
+         
+         pIn++;
+         d1 = b1 * Xn1 + d2;
+         
+         *pOut = acc1; 
+         d2 = b2 * Xn1;
+         
+         pOut++;
+         d1 += a1 * acc1;
+         
+         sample--;	
+         d2 += a2 * acc1; 
+      }
+
+      /* Store the updated state variables back into the state array */ 
+      pState[0] = d1; 
+      /* The current stage input is given as the output to the next stage */ 
+      pIn = pDst; 
+      
+      pState[1] = d2; 
+      /* decrement the loop counter */ 
+      stage--; 
+
+      pState += 2u;
+
+      /*Reset the output working pointer */ 
+      pOut = pDst; 
+
+   } while(stage > 0u);
+	
+#elif defined(ARM_MATH_CM0_FAMILY)
+
+   /* Run the below code for Cortex-M0 */
+
+   do
+   {
+      /* Reading the coefficients */
+      b0 = *pCoeffs++;
+      b1 = *pCoeffs++;
+      b2 = *pCoeffs++;
+      a1 = *pCoeffs++;
+      a2 = *pCoeffs++;
+
+      /*Reading the state values */
+      d1 = pState[0];
+      d2 = pState[1];
+
+
+      sample = blockSize;
+
+      while(sample > 0u)
+      {
+         /* Read the input */
+         Xn1 = *pIn++;
+
+         /* y[n] = b0 * x[n] + d1 */
+         acc1 = (b0 * Xn1) + d1;
+
+         /* Store the result in the accumulator in the destination buffer. */
+         *pOut++ = acc1;
+
+         /* Every time after the output is computed state should be updated. */
+         /* d1 = b1 * x[n] + a1 * y[n] + d2 */
+         d1 = ((b1 * Xn1) + (a1 * acc1)) + d2;
+
+         /* d2 = b2 * x[n] + a2 * y[n] */
+         d2 = (b2 * Xn1) + (a2 * acc1);
+
+         /* decrement the loop counter */
+         sample--;
+      }
+
+      /* Store the updated state variables back into the state array */
+      *pState++ = d1;
+      *pState++ = d2;
+
+      /* The current stage input is given as the output to the next stage */
+      pIn = pDst;
+
+      /*Reset the output working pointer */
+      pOut = pDst;
+
+      /* decrement the loop counter */
+      stage--;
+
+   } while(stage > 0u);
+	 
+#else
 
    float32_t Xn2, Xn3, Xn4;                  	  /*  Input State variables     */
    float32_t acc2, acc3, acc4;              		  /*  accumulator               */
@@ -253,7 +554,7 @@
          pOut[1] = acc2;	
          pOut[2] = acc3;	
          pOut[3] = acc4;
-				 pOut += 4;
+		 pOut += 4;
 				 
          sample--;	       
       }
@@ -292,64 +593,7 @@
 
    } while(stage > 0u);
 
-#else
-
-   /* Run the below code for Cortex-M0 */
-
-   do
-   {
-      /* Reading the coefficients */
-      b0 = *pCoeffs++;
-      b1 = *pCoeffs++;
-      b2 = *pCoeffs++;
-      a1 = *pCoeffs++;
-      a2 = *pCoeffs++;
-
-      /*Reading the state values */
-      d1 = pState[0];
-      d2 = pState[1];
-
-
-      sample = blockSize;
-
-      while(sample > 0u)
-      {
-         /* Read the input */
-         Xn1 = *pIn++;
-
-         /* y[n] = b0 * x[n] + d1 */
-         acc1 = (b0 * Xn1) + d1;
-
-         /* Store the result in the accumulator in the destination buffer. */
-         *pOut++ = acc1;
-
-         /* Every time after the output is computed state should be updated. */
-         /* d1 = b1 * x[n] + a1 * y[n] + d2 */
-         d1 = ((b1 * Xn1) + (a1 * acc1)) + d2;
-
-         /* d2 = b2 * x[n] + a2 * y[n] */
-         d2 = (b2 * Xn1) + (a2 * acc1);
-
-         /* decrement the loop counter */
-         sample--;
-      }
-
-      /* Store the updated state variables back into the state array */
-      *pState++ = d1;
-      *pState++ = d2;
-
-      /* The current stage input is given as the output to the next stage */
-      pIn = pDst;
-
-      /*Reset the output working pointer */
-      pOut = pDst;
-
-      /* decrement the loop counter */
-      stage--;
-
-   } while(stage > 0u);
-
-#endif /*  #ifndef ARM_MATH_CM0_FAMILY         */
+#endif 
 
 }
 LOW_OPTIMIZATION_EXIT

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df2T_f64.c
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df2T_f64.c	Fri Nov 20 08:45:18 2015 +0000
@@ -0,0 +1,603 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_biquad_cascade_df2T_f64.c    
+*    
+* Description:  Processing function for the floating-point transposed    
+*               direct form II Biquad cascade filter.   
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**       
+* @ingroup groupFilters       
+*/
+
+/**       
+* @defgroup BiquadCascadeDF2T Biquad Cascade IIR Filters Using a Direct Form II Transposed Structure       
+*       
+* This set of functions implements arbitrary order recursive (IIR) filters using a transposed direct form II structure.       
+* The filters are implemented as a cascade of second order Biquad sections.       
+* These functions provide a slight memory savings as compared to the direct form I Biquad filter functions.      
+* Only floating-point data is supported.       
+*       
+* This function operate on blocks of input and output data and each call to the function       
+* processes <code>blockSize</code> samples through the filter.       
+* <code>pSrc</code> points to the array of input data and       
+* <code>pDst</code> points to the array of output data.       
+* Both arrays contain <code>blockSize</code> values.       
+*       
+* \par Algorithm       
+* Each Biquad stage implements a second order filter using the difference equation:       
+* <pre>       
+*    y[n] = b0 * x[n] + d1       
+*    d1 = b1 * x[n] + a1 * y[n] + d2       
+*    d2 = b2 * x[n] + a2 * y[n]       
+* </pre>       
+* where d1 and d2 represent the two state values.       
+*       
+* \par       
+* A Biquad filter using a transposed Direct Form II structure is shown below.       
+* \image html BiquadDF2Transposed.gif "Single transposed Direct Form II Biquad"       
+* Coefficients <code>b0, b1, and b2 </code> multiply the input signal <code>x[n]</code> and are referred to as the feedforward coefficients.       
+* Coefficients <code>a1</code> and <code>a2</code> multiply the output signal <code>y[n]</code> and are referred to as the feedback coefficients.       
+* Pay careful attention to the sign of the feedback coefficients.       
+* Some design tools flip the sign of the feedback coefficients:       
+* <pre>       
+*    y[n] = b0 * x[n] + d1;       
+*    d1 = b1 * x[n] - a1 * y[n] + d2;       
+*    d2 = b2 * x[n] - a2 * y[n];       
+* </pre>       
+* In this case the feedback coefficients <code>a1</code> and <code>a2</code> must be negated when used with the CMSIS DSP Library.       
+*       
+* \par       
+* Higher order filters are realized as a cascade of second order sections.       
+* <code>numStages</code> refers to the number of second order stages used.       
+* For example, an 8th order filter would be realized with <code>numStages=4</code> second order stages.       
+* A 9th order filter would be realized with <code>numStages=5</code> second order stages with the       
+* coefficients for one of the stages configured as a first order filter (<code>b2=0</code> and <code>a2=0</code>).       
+*       
+* \par       
+* <code>pState</code> points to the state variable array.       
+* Each Biquad stage has 2 state variables <code>d1</code> and <code>d2</code>.       
+* The state variables are arranged in the <code>pState</code> array as:       
+* <pre>       
+*     {d11, d12, d21, d22, ...}       
+* </pre>       
+* where <code>d1x</code> refers to the state variables for the first Biquad and       
+* <code>d2x</code> refers to the state variables for the second Biquad.       
+* The state array has a total length of <code>2*numStages</code> values.       
+* The state variables are updated after each block of data is processed; the coefficients are untouched.       
+*       
+* \par       
+* The CMSIS library contains Biquad filters in both Direct Form I and transposed Direct Form II.    
+* The advantage of the Direct Form I structure is that it is numerically more robust for fixed-point data types.    
+* That is why the Direct Form I structure supports Q15 and Q31 data types.    
+* The transposed Direct Form II structure, on the other hand, requires a wide dynamic range for the state variables <code>d1</code> and <code>d2</code>.    
+* Because of this, the CMSIS library only has a floating-point version of the Direct Form II Biquad.    
+* The advantage of the Direct Form II Biquad is that it requires half the number of state variables, 2 rather than 4, per Biquad stage.    
+*       
+* \par Instance Structure       
+* The coefficients and state variables for a filter are stored together in an instance data structure.       
+* A separate instance structure must be defined for each filter.       
+* Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.       
+*       
+* \par Init Functions       
+* There is also an associated initialization function.      
+* The initialization function performs following operations:       
+* - Sets the values of the internal structure fields.       
+* - Zeros out the values in the state buffer.       
+* To do this manually without calling the init function, assign the follow subfields of the instance structure:
+* numStages, pCoeffs, pState. Also set all of the values in pState to zero. 
+*       
+* \par       
+* Use of the initialization function is optional.       
+* However, if the initialization function is used, then the instance structure cannot be placed into a const data section.       
+* To place an instance structure into a const data section, the instance structure must be manually initialized.       
+* Set the values in the state buffer to zeros before static initialization.       
+* For example, to statically initialize the instance structure use       
+* <pre>       
+*     arm_biquad_cascade_df2T_instance_f64 S1 = {numStages, pState, pCoeffs};       
+* </pre>       
+* where <code>numStages</code> is the number of Biquad stages in the filter; <code>pState</code> is the address of the state buffer.       
+* <code>pCoeffs</code> is the address of the coefficient buffer;        
+*       
+*/
+
+/**       
+* @addtogroup BiquadCascadeDF2T       
+* @{       
+*/
+
+/**      
+* @brief Processing function for the floating-point transposed direct form II Biquad cascade filter.      
+* @param[in]  *S        points to an instance of the filter data structure.      
+* @param[in]  *pSrc     points to the block of input data.      
+* @param[out] *pDst     points to the block of output data      
+* @param[in]  blockSize number of samples to process.      
+* @return none.      
+*/
+
+
+LOW_OPTIMIZATION_ENTER
+void arm_biquad_cascade_df2T_f64(
+const arm_biquad_cascade_df2T_instance_f64 * S,
+float64_t * pSrc,
+float64_t * pDst,
+uint32_t blockSize)
+{
+
+   float64_t *pIn = pSrc;                         /*  source pointer            */
+   float64_t *pOut = pDst;                        /*  destination pointer       */
+   float64_t *pState = S->pState;                 /*  State pointer             */
+   float64_t *pCoeffs = S->pCoeffs;               /*  coefficient pointer       */
+   float64_t acc1;                                /*  accumulator               */
+   float64_t b0, b1, b2, a1, a2;                  /*  Filter coefficients       */
+   float64_t Xn1;                                 /*  temporary input           */
+   float64_t d1, d2;                              /*  state variables           */
+   uint32_t sample, stage = S->numStages;         /*  loop counters             */
+
+#if defined(ARM_MATH_CM7)
+	
+   float64_t Xn2, Xn3, Xn4, Xn5, Xn6, Xn7, Xn8;   /*  Input State variables     */
+   float64_t Xn9, Xn10, Xn11, Xn12, Xn13, Xn14, Xn15, Xn16;
+   float64_t acc2, acc3, acc4, acc5, acc6, acc7;  /*  Simulates the accumulator */
+   float64_t acc8, acc9, acc10, acc11, acc12, acc13, acc14, acc15, acc16;
+
+   do
+   {
+      /* Reading the coefficients */ 
+      b0 = pCoeffs[0]; 
+      b1 = pCoeffs[1]; 
+      b2 = pCoeffs[2]; 
+      a1 = pCoeffs[3]; 
+      /* Apply loop unrolling and compute 16 output values simultaneously. */ 
+      sample = blockSize >> 4u; 
+      a2 = pCoeffs[4]; 
+
+      /*Reading the state values */ 
+      d1 = pState[0]; 
+      d2 = pState[1]; 
+
+      pCoeffs += 5u;
+
+      
+      /* First part of the processing with loop unrolling.  Compute 16 outputs at a time.       
+       ** a second loop below computes the remaining 1 to 15 samples. */
+      while(sample > 0u) {
+
+         /* y[n] = b0 * x[n] + d1 */
+         /* d1 = b1 * x[n] + a1 * y[n] + d2 */
+         /* d2 = b2 * x[n] + a2 * y[n] */
+
+         /* Read the first 2 inputs. 2 cycles */
+         Xn1  = pIn[0 ];
+         Xn2  = pIn[1 ];
+
+         /* Sample 1. 5 cycles */
+         Xn3  = pIn[2 ];
+         acc1 = b0 * Xn1 + d1;
+         
+         Xn4  = pIn[3 ];
+         d1 = b1 * Xn1 + d2;
+         
+         Xn5  = pIn[4 ];
+         d2 = b2 * Xn1;
+         
+         Xn6  = pIn[5 ];
+         d1 += a1 * acc1;
+         
+         Xn7  = pIn[6 ];
+         d2 += a2 * acc1;
+
+         /* Sample 2. 5 cycles */
+         Xn8  = pIn[7 ];
+         acc2 = b0 * Xn2 + d1;
+         
+         Xn9  = pIn[8 ];
+         d1 = b1 * Xn2 + d2;
+         
+         Xn10 = pIn[9 ];
+         d2 = b2 * Xn2;
+         
+         Xn11 = pIn[10];
+         d1 += a1 * acc2;
+         
+         Xn12 = pIn[11];
+         d2 += a2 * acc2;
+
+         /* Sample 3. 5 cycles */
+         Xn13 = pIn[12];
+         acc3 = b0 * Xn3 + d1;
+         
+         Xn14 = pIn[13];
+         d1 = b1 * Xn3 + d2;
+         
+         Xn15 = pIn[14];
+         d2 = b2 * Xn3;
+         
+         Xn16 = pIn[15];
+         d1 += a1 * acc3;
+         
+         pIn += 16;
+         d2 += a2 * acc3;
+
+         /* Sample 4. 5 cycles */
+         acc4 = b0 * Xn4 + d1;
+         d1 = b1 * Xn4 + d2;
+         d2 = b2 * Xn4;
+         d1 += a1 * acc4;
+         d2 += a2 * acc4;
+
+         /* Sample 5. 5 cycles */
+         acc5 = b0 * Xn5 + d1;
+         d1 = b1 * Xn5 + d2;
+         d2 = b2 * Xn5;
+         d1 += a1 * acc5;
+         d2 += a2 * acc5;
+
+         /* Sample 6. 5 cycles */
+         acc6 = b0 * Xn6 + d1;
+         d1 = b1 * Xn6 + d2;
+         d2 = b2 * Xn6;
+         d1 += a1 * acc6;
+         d2 += a2 * acc6;
+
+         /* Sample 7. 5 cycles */
+         acc7 = b0 * Xn7 + d1;
+         d1 = b1 * Xn7 + d2;
+         d2 = b2 * Xn7;
+         d1 += a1 * acc7;
+         d2 += a2 * acc7;
+
+         /* Sample 8. 5 cycles */
+         acc8 = b0 * Xn8 + d1;
+         d1 = b1 * Xn8 + d2;
+         d2 = b2 * Xn8;
+         d1 += a1 * acc8;
+         d2 += a2 * acc8;
+
+         /* Sample 9. 5 cycles */
+         acc9 = b0 * Xn9 + d1;
+         d1 = b1 * Xn9 + d2;
+         d2 = b2 * Xn9;
+         d1 += a1 * acc9;
+         d2 += a2 * acc9;
+
+         /* Sample 10. 5 cycles */
+         acc10 = b0 * Xn10 + d1;
+         d1 = b1 * Xn10 + d2;
+         d2 = b2 * Xn10;
+         d1 += a1 * acc10;
+         d2 += a2 * acc10;
+
+         /* Sample 11. 5 cycles */
+         acc11 = b0 * Xn11 + d1;
+         d1 = b1 * Xn11 + d2;
+         d2 = b2 * Xn11;
+         d1 += a1 * acc11;
+         d2 += a2 * acc11;
+
+         /* Sample 12. 5 cycles */
+         acc12 = b0 * Xn12 + d1;
+         d1 = b1 * Xn12 + d2;
+         d2 = b2 * Xn12;
+         d1 += a1 * acc12;
+         d2 += a2 * acc12;
+
+         /* Sample 13. 5 cycles */
+         acc13 = b0 * Xn13 + d1;         
+         d1 = b1 * Xn13 + d2;         
+         d2 = b2 * Xn13;
+         
+         pOut[0 ] = acc1 ;
+         d1 += a1 * acc13;
+         
+         pOut[1 ] = acc2 ;	
+         d2 += a2 * acc13;
+
+         /* Sample 14. 5 cycles */
+         pOut[2 ] = acc3 ;	
+         acc14 = b0 * Xn14 + d1;
+             
+         pOut[3 ] = acc4 ;
+         d1 = b1 * Xn14 + d2;
+          
+         pOut[4 ] = acc5 ; 
+         d2 = b2 * Xn14;
+         
+         pOut[5 ] = acc6 ;	  
+         d1 += a1 * acc14;
+         
+         pOut[6 ] = acc7 ;	
+         d2 += a2 * acc14;
+
+         /* Sample 15. 5 cycles */
+         pOut[7 ] = acc8 ;
+         pOut[8 ] = acc9 ;  
+         acc15 = b0 * Xn15 + d1;
+              
+         pOut[9 ] = acc10;	
+         d1 = b1 * Xn15 + d2;
+         
+         pOut[10] = acc11;	
+         d2 = b2 * Xn15;
+         
+         pOut[11] = acc12;
+         d1 += a1 * acc15;
+         
+         pOut[12] = acc13;
+         d2 += a2 * acc15;
+
+         /* Sample 16. 5 cycles */
+         pOut[13] = acc14;	
+         acc16 = b0 * Xn16 + d1;
+         
+         pOut[14] = acc15;	
+         d1 = b1 * Xn16 + d2;
+         
+         pOut[15] = acc16;
+         d2 = b2 * Xn16;
+         
+         sample--;	 
+         d1 += a1 * acc16;
+         
+         pOut += 16;
+         d2 += a2 * acc16;
+      }
+
+      sample = blockSize & 0xFu;
+      while(sample > 0u) {
+         Xn1 = *pIn;         
+         acc1 = b0 * Xn1 + d1;
+         
+         pIn++;
+         d1 = b1 * Xn1 + d2;
+         
+         *pOut = acc1; 
+         d2 = b2 * Xn1;
+         
+         pOut++;
+         d1 += a1 * acc1;
+         
+         sample--;	
+         d2 += a2 * acc1; 
+      }
+
+      /* Store the updated state variables back into the state array */ 
+      pState[0] = d1; 
+      /* The current stage input is given as the output to the next stage */ 
+      pIn = pDst; 
+      
+      pState[1] = d2; 
+      /* decrement the loop counter */ 
+      stage--; 
+
+      pState += 2u;
+
+      /*Reset the output working pointer */ 
+      pOut = pDst; 
+
+   } while(stage > 0u);
+	
+#elif defined(ARM_MATH_CM0_FAMILY)
+
+   /* Run the below code for Cortex-M0 */
+
+   do
+   {
+      /* Reading the coefficients */
+      b0 = *pCoeffs++;
+      b1 = *pCoeffs++;
+      b2 = *pCoeffs++;
+      a1 = *pCoeffs++;
+      a2 = *pCoeffs++;
+
+      /*Reading the state values */
+      d1 = pState[0];
+      d2 = pState[1];
+
+
+      sample = blockSize;
+
+      while(sample > 0u)
+      {
+         /* Read the input */
+         Xn1 = *pIn++;
+
+         /* y[n] = b0 * x[n] + d1 */
+         acc1 = (b0 * Xn1) + d1;
+
+         /* Store the result in the accumulator in the destination buffer. */
+         *pOut++ = acc1;
+
+         /* Every time after the output is computed state should be updated. */
+         /* d1 = b1 * x[n] + a1 * y[n] + d2 */
+         d1 = ((b1 * Xn1) + (a1 * acc1)) + d2;
+
+         /* d2 = b2 * x[n] + a2 * y[n] */
+         d2 = (b2 * Xn1) + (a2 * acc1);
+
+         /* decrement the loop counter */
+         sample--;
+      }
+
+      /* Store the updated state variables back into the state array */
+      *pState++ = d1;
+      *pState++ = d2;
+
+      /* The current stage input is given as the output to the next stage */
+      pIn = pDst;
+
+      /*Reset the output working pointer */
+      pOut = pDst;
+
+      /* decrement the loop counter */
+      stage--;
+
+   } while(stage > 0u);
+	 
+#else
+
+   float64_t Xn2, Xn3, Xn4;                  	  /*  Input State variables     */
+   float64_t acc2, acc3, acc4;              		  /*  accumulator               */
+
+
+   float64_t p0, p1, p2, p3, p4, A1;
+
+   /* Run the below code for Cortex-M4 and Cortex-M3 */
+   do
+   {
+      /* Reading the coefficients */     
+      b0 = *pCoeffs++;
+      b1 = *pCoeffs++;
+      b2 = *pCoeffs++;
+      a1 = *pCoeffs++;
+      a2 = *pCoeffs++;
+      
+
+      /*Reading the state values */
+      d1 = pState[0];
+      d2 = pState[1];
+
+      /* Apply loop unrolling and compute 4 output values simultaneously. */
+      sample = blockSize >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.       
+   ** a second loop below computes the remaining 1 to 3 samples. */
+      while(sample > 0u) {
+
+         /* y[n] = b0 * x[n] + d1 */
+         /* d1 = b1 * x[n] + a1 * y[n] + d2 */
+         /* d2 = b2 * x[n] + a2 * y[n] */
+
+         /* Read the four inputs */
+         Xn1 = pIn[0];
+         Xn2 = pIn[1];
+         Xn3 = pIn[2];
+         Xn4 = pIn[3];
+         pIn += 4;     
+
+         p0 = b0 * Xn1; 
+         p1 = b1 * Xn1;
+         acc1 = p0 + d1;
+         p0 = b0 * Xn2; 
+         p3 = a1 * acc1;
+         p2 = b2 * Xn1;
+         A1 = p1 + p3;
+         p4 = a2 * acc1;
+         d1 = A1 + d2;
+         d2 = p2 + p4;
+
+         p1 = b1 * Xn2;
+         acc2 = p0 + d1;
+         p0 = b0 * Xn3;	 
+         p3 = a1 * acc2; 
+         p2 = b2 * Xn2;                                 
+         A1 = p1 + p3;
+         p4 = a2 * acc2;
+         d1 = A1 + d2;
+         d2 = p2 + p4;
+
+         p1 = b1 * Xn3;
+         acc3 = p0 + d1;
+         p0 = b0 * Xn4;	
+         p3 = a1 * acc3;
+         p2 = b2 * Xn3;
+         A1 = p1 + p3;
+         p4 = a2 * acc3;
+         d1 = A1 + d2;
+         d2 = p2 + p4;
+
+         acc4 = p0 + d1;
+         p1 = b1 * Xn4;
+         p3 = a1 * acc4;
+         p2 = b2 * Xn4;
+         A1 = p1 + p3;
+         p4 = a2 * acc4;
+         d1 = A1 + d2;
+         d2 = p2 + p4;
+
+         pOut[0] = acc1;	
+         pOut[1] = acc2;	
+         pOut[2] = acc3;	
+         pOut[3] = acc4;
+				 pOut += 4;
+				 
+         sample--;	       
+      }
+
+      sample = blockSize & 0x3u;
+      while(sample > 0u) {
+         Xn1 = *pIn++;
+
+         p0 = b0 * Xn1; 
+         p1 = b1 * Xn1;
+         acc1 = p0 + d1;
+         p3 = a1 * acc1;
+         p2 = b2 * Xn1;
+         A1 = p1 + p3;
+         p4 = a2 * acc1;
+         d1 = A1 + d2;
+         d2 = p2 + p4;
+	
+         *pOut++ = acc1;
+         
+         sample--;	       
+      }
+
+      /* Store the updated state variables back into the state array */
+      *pState++ = d1;
+      *pState++ = d2;
+
+      /* The current stage input is given as the output to the next stage */
+      pIn = pDst;
+
+      /*Reset the output working pointer */
+      pOut = pDst;
+
+      /* decrement the loop counter */
+      stage--;
+
+   } while(stage > 0u);
+
+#endif 
+
+}
+LOW_OPTIMIZATION_EXIT
+
+/**       
+   * @} end of BiquadCascadeDF2T group       
+   */

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df2T_init_f32.c
--- a/cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df2T_init_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df2T_init_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:        arm_biquad_cascade_df2T_init_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df2T_init_f64.c
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df2T_init_f64.c	Fri Nov 20 08:45:18 2015 +0000
@@ -0,0 +1,102 @@
+/*-----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:        arm_biquad_cascade_df2T_init_f64.c    
+*    
+* Description:  Initialization function for the floating-point transposed   
+*               direct form II Biquad cascade filter.   
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* ---------------------------------------------------------------------------*/
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup BiquadCascadeDF2T    
+ * @{    
+ */
+
+/**   
+ * @brief  Initialization function for the floating-point transposed direct form II Biquad cascade filter.   
+ * @param[in,out] *S           points to an instance of the filter data structure.   
+ * @param[in]     numStages    number of 2nd order stages in the filter.   
+ * @param[in]     *pCoeffs     points to the filter coefficients.   
+ * @param[in]     *pState      points to the state buffer.   
+ * @return        none   
+ *    
+ * <b>Coefficient and State Ordering:</b>    
+ * \par    
+ * The coefficients are stored in the array <code>pCoeffs</code> in the following order:    
+ * <pre>    
+ *     {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}    
+ * </pre>    
+ *    
+ * \par    
+ * where <code>b1x</code> and <code>a1x</code> are the coefficients for the first stage,    
+ * <code>b2x</code> and <code>a2x</code> are the coefficients for the second stage,    
+ * and so on.  The <code>pCoeffs</code> array contains a total of <code>5*numStages</code> values.    
+ *    
+ * \par    
+ * The <code>pState</code> is a pointer to state array.    
+ * Each Biquad stage has 2 state variables <code>d1,</code> and <code>d2</code>.    
+ * The 2 state variables for stage 1 are first, then the 2 state variables for stage 2, and so on.    
+ * The state array has a total length of <code>2*numStages</code> values.    
+ * The state variables are updated after each block of data is processed; the coefficients are untouched.    
+ */
+
+void arm_biquad_cascade_df2T_init_f64(
+  arm_biquad_cascade_df2T_instance_f64 * S,
+  uint8_t numStages,
+  float64_t * pCoeffs,
+  float64_t * pState)
+{
+  /* Assign filter stages */
+  S->numStages = numStages;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear state buffer and size is always 2 * numStages */
+  memset(pState, 0, (2u * (uint32_t) numStages) * sizeof(float64_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+}
+
+/**    
+ * @} end of BiquadCascadeDF2T group    
+ */

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_biquad_cascade_stereo_df2T_f32.c
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/cmsis_dsp/FilteringFunctions/arm_biquad_cascade_stereo_df2T_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -0,0 +1,683 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_biquad_cascade_stereo_df2T_f32.c    
+*    
+* Description:  Processing function for the floating-point transposed    
+*               direct form II Biquad cascade filter. 2 channels  
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**       
+* @ingroup groupFilters       
+*/
+
+/**       
+* @defgroup BiquadCascadeDF2T Biquad Cascade IIR Filters Using a Direct Form II Transposed Structure       
+*       
+* This set of functions implements arbitrary order recursive (IIR) filters using a transposed direct form II structure.       
+* The filters are implemented as a cascade of second order Biquad sections.       
+* These functions provide a slight memory savings as compared to the direct form I Biquad filter functions.      
+* Only floating-point data is supported.       
+*       
+* This function operate on blocks of input and output data and each call to the function       
+* processes <code>blockSize</code> samples through the filter.       
+* <code>pSrc</code> points to the array of input data and       
+* <code>pDst</code> points to the array of output data.       
+* Both arrays contain <code>blockSize</code> values.       
+*       
+* \par Algorithm       
+* Each Biquad stage implements a second order filter using the difference equation:       
+* <pre>       
+*    y[n] = b0 * x[n] + d1       
+*    d1 = b1 * x[n] + a1 * y[n] + d2       
+*    d2 = b2 * x[n] + a2 * y[n]       
+* </pre>       
+* where d1 and d2 represent the two state values.       
+*       
+* \par       
+* A Biquad filter using a transposed Direct Form II structure is shown below.       
+* \image html BiquadDF2Transposed.gif "Single transposed Direct Form II Biquad"       
+* Coefficients <code>b0, b1, and b2 </code> multiply the input signal <code>x[n]</code> and are referred to as the feedforward coefficients.       
+* Coefficients <code>a1</code> and <code>a2</code> multiply the output signal <code>y[n]</code> and are referred to as the feedback coefficients.       
+* Pay careful attention to the sign of the feedback coefficients.       
+* Some design tools flip the sign of the feedback coefficients:       
+* <pre>       
+*    y[n] = b0 * x[n] + d1;       
+*    d1 = b1 * x[n] - a1 * y[n] + d2;       
+*    d2 = b2 * x[n] - a2 * y[n];       
+* </pre>       
+* In this case the feedback coefficients <code>a1</code> and <code>a2</code> must be negated when used with the CMSIS DSP Library.       
+*       
+* \par       
+* Higher order filters are realized as a cascade of second order sections.       
+* <code>numStages</code> refers to the number of second order stages used.       
+* For example, an 8th order filter would be realized with <code>numStages=4</code> second order stages.       
+* A 9th order filter would be realized with <code>numStages=5</code> second order stages with the       
+* coefficients for one of the stages configured as a first order filter (<code>b2=0</code> and <code>a2=0</code>).       
+*       
+* \par       
+* <code>pState</code> points to the state variable array.       
+* Each Biquad stage has 2 state variables <code>d1</code> and <code>d2</code>.       
+* The state variables are arranged in the <code>pState</code> array as:       
+* <pre>       
+*     {d11, d12, d21, d22, ...}       
+* </pre>       
+* where <code>d1x</code> refers to the state variables for the first Biquad and       
+* <code>d2x</code> refers to the state variables for the second Biquad.       
+* The state array has a total length of <code>2*numStages</code> values.       
+* The state variables are updated after each block of data is processed; the coefficients are untouched.       
+*       
+* \par       
+* The CMSIS library contains Biquad filters in both Direct Form I and transposed Direct Form II.    
+* The advantage of the Direct Form I structure is that it is numerically more robust for fixed-point data types.    
+* That is why the Direct Form I structure supports Q15 and Q31 data types.    
+* The transposed Direct Form II structure, on the other hand, requires a wide dynamic range for the state variables <code>d1</code> and <code>d2</code>.    
+* Because of this, the CMSIS library only has a floating-point version of the Direct Form II Biquad.    
+* The advantage of the Direct Form II Biquad is that it requires half the number of state variables, 2 rather than 4, per Biquad stage.    
+*       
+* \par Instance Structure       
+* The coefficients and state variables for a filter are stored together in an instance data structure.       
+* A separate instance structure must be defined for each filter.       
+* Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.       
+*       
+* \par Init Functions       
+* There is also an associated initialization function.      
+* The initialization function performs following operations:       
+* - Sets the values of the internal structure fields.       
+* - Zeros out the values in the state buffer.       
+* To do this manually without calling the init function, assign the follow subfields of the instance structure:
+* numStages, pCoeffs, pState. Also set all of the values in pState to zero. 
+*       
+* \par       
+* Use of the initialization function is optional.       
+* However, if the initialization function is used, then the instance structure cannot be placed into a const data section.       
+* To place an instance structure into a const data section, the instance structure must be manually initialized.       
+* Set the values in the state buffer to zeros before static initialization.       
+* For example, to statically initialize the instance structure use       
+* <pre>       
+*     arm_biquad_cascade_df2T_instance_f32 S1 = {numStages, pState, pCoeffs};       
+* </pre>       
+* where <code>numStages</code> is the number of Biquad stages in the filter; <code>pState</code> is the address of the state buffer.       
+* <code>pCoeffs</code> is the address of the coefficient buffer;        
+*       
+*/
+
+/**       
+* @addtogroup BiquadCascadeDF2T       
+* @{       
+*/
+
+/**      
+* @brief Processing function for the floating-point transposed direct form II Biquad cascade filter.      
+* @param[in]  *S        points to an instance of the filter data structure.      
+* @param[in]  *pSrc     points to the block of input data.      
+* @param[out] *pDst     points to the block of output data      
+* @param[in]  blockSize number of samples to process.      
+* @return none.      
+*/
+
+
+LOW_OPTIMIZATION_ENTER
+void arm_biquad_cascade_stereo_df2T_f32(
+const arm_biquad_cascade_stereo_df2T_instance_f32 * S,
+float32_t * pSrc,
+float32_t * pDst,
+uint32_t blockSize)
+{
+
+    float32_t *pIn = pSrc;                         /*  source pointer            */
+    float32_t *pOut = pDst;                        /*  destination pointer       */
+    float32_t *pState = S->pState;                 /*  State pointer             */
+    float32_t *pCoeffs = S->pCoeffs;               /*  coefficient pointer       */
+    float32_t acc1a, acc1b;                        /*  accumulator               */
+    float32_t b0, b1, b2, a1, a2;                  /*  Filter coefficients       */
+    float32_t Xn1a, Xn1b;                          /*  temporary input           */
+    float32_t d1a, d2a, d1b, d2b;                  /*  state variables           */
+    uint32_t sample, stage = S->numStages;         /*  loop counters             */
+
+#if defined(ARM_MATH_CM7)
+	
+    float32_t Xn2a, Xn3a, Xn4a, Xn5a, Xn6a, Xn7a, Xn8a;         /*  Input State variables     */
+    float32_t Xn2b, Xn3b, Xn4b, Xn5b, Xn6b, Xn7b, Xn8b;         /*  Input State variables     */
+    float32_t acc2a, acc3a, acc4a, acc5a, acc6a, acc7a, acc8a;  /*  Simulates the accumulator */
+    float32_t acc2b, acc3b, acc4b, acc5b, acc6b, acc7b, acc8b;  /*  Simulates the accumulator */
+
+    do
+    {
+        /* Reading the coefficients */ 
+        b0 = pCoeffs[0]; 
+        b1 = pCoeffs[1]; 
+        b2 = pCoeffs[2]; 
+        a1 = pCoeffs[3]; 
+        /* Apply loop unrolling and compute 8 output values simultaneously. */ 
+        sample = blockSize >> 3u; 
+        a2 = pCoeffs[4]; 
+
+        /*Reading the state values */ 
+        d1a = pState[0]; 
+        d2a = pState[1]; 
+        d1b = pState[2]; 
+        d2b = pState[3]; 
+
+        pCoeffs += 5u;
+
+        /* First part of the processing with loop unrolling.  Compute 8 outputs at a time.       
+        ** a second loop below computes the remaining 1 to 7 samples. */
+        while(sample > 0u) {
+
+            /* y[n] = b0 * x[n] + d1 */
+            /* d1 = b1 * x[n] + a1 * y[n] + d2 */
+            /* d2 = b2 * x[n] + a2 * y[n] */
+
+            /* Read the first 2 inputs. 2 cycles */
+            Xn1a  = pIn[0 ];
+            Xn1b  = pIn[1 ];
+
+            /* Sample 1. 5 cycles */
+            Xn2a  = pIn[2 ];
+            acc1a = b0 * Xn1a + d1a;
+
+            Xn2b  = pIn[3 ];
+            d1a = b1 * Xn1a + d2a;
+
+            Xn3a  = pIn[4 ];
+            d2a = b2 * Xn1a;
+
+            Xn3b  = pIn[5 ];
+            d1a += a1 * acc1a;
+
+            Xn4a  = pIn[6 ];
+            d2a += a2 * acc1a;
+
+            /* Sample 2. 5 cycles */
+            Xn4b  = pIn[7 ];
+            acc1b = b0 * Xn1b + d1b;
+
+            Xn5a  = pIn[8 ];
+            d1b = b1 * Xn1b + d2b;
+
+            Xn5b = pIn[9 ];
+            d2b = b2 * Xn1b;
+
+            Xn6a = pIn[10];
+            d1b += a1 * acc1b;
+
+            Xn6b = pIn[11];
+            d2b += a2 * acc1b;
+
+            /* Sample 3. 5 cycles */
+            Xn7a = pIn[12];
+            acc2a = b0 * Xn2a + d1a;
+
+            Xn7b = pIn[13];
+            d1a = b1 * Xn2a + d2a;
+
+            Xn8a = pIn[14];
+            d2a = b2 * Xn2a;
+
+            Xn8b = pIn[15];
+            d1a += a1 * acc2a;
+
+            pIn += 16;
+            d2a += a2 * acc2a;
+
+            /* Sample 4. 5 cycles */
+            acc2b = b0 * Xn2b + d1b;
+            d1b = b1 * Xn2b + d2b;
+            d2b = b2 * Xn2b;
+            d1b += a1 * acc2b;
+            d2b += a2 * acc2b;
+
+            /* Sample 5. 5 cycles */
+            acc3a = b0 * Xn3a + d1a;
+            d1a = b1 * Xn3a + d2a;
+            d2a = b2 * Xn3a;
+            d1a += a1 * acc3a;
+            d2a += a2 * acc3a;
+
+            /* Sample 6. 5 cycles */
+            acc3b = b0 * Xn3b + d1b;
+            d1b = b1 * Xn3b + d2b;
+            d2b = b2 * Xn3b;
+            d1b += a1 * acc3b;
+            d2b += a2 * acc3b;
+
+            /* Sample 7. 5 cycles */
+            acc4a = b0 * Xn4a + d1a;
+            d1a = b1 * Xn4a + d2a;
+            d2a = b2 * Xn4a;
+            d1a += a1 * acc4a;
+            d2a += a2 * acc4a;
+
+            /* Sample 8. 5 cycles */
+            acc4b = b0 * Xn4b + d1b;
+            d1b = b1 * Xn4b + d2b;
+            d2b = b2 * Xn4b;
+            d1b += a1 * acc4b;
+            d2b += a2 * acc4b;
+
+            /* Sample 9. 5 cycles */
+            acc5a = b0 * Xn5a + d1a;
+            d1a = b1 * Xn5a + d2a;
+            d2a = b2 * Xn5a;
+            d1a += a1 * acc5a;
+            d2a += a2 * acc5a;
+
+            /* Sample 10. 5 cycles */
+            acc5b = b0 * Xn5b + d1b;
+            d1b = b1 * Xn5b + d2b;
+            d2b = b2 * Xn5b;
+            d1b += a1 * acc5b;
+            d2b += a2 * acc5b;
+
+            /* Sample 11. 5 cycles */
+            acc6a = b0 * Xn6a + d1a;
+            d1a = b1 * Xn6a + d2a;
+            d2a = b2 * Xn6a;
+            d1a += a1 * acc6a;
+            d2a += a2 * acc6a;
+
+            /* Sample 12. 5 cycles */
+            acc6b = b0 * Xn6b + d1b;
+            d1b = b1 * Xn6b + d2b;
+            d2b = b2 * Xn6b;
+            d1b += a1 * acc6b;
+            d2b += a2 * acc6b;
+
+            /* Sample 13. 5 cycles */
+            acc7a = b0 * Xn7a + d1a;         
+            d1a = b1 * Xn7a + d2a;   
+            
+            pOut[0 ] = acc1a ;      
+            d2a = b2 * Xn7a;
+
+            pOut[1 ] = acc1b ;	
+            d1a += a1 * acc7a;
+
+            pOut[2 ] = acc2a ;	
+            d2a += a2 * acc7a;
+
+            /* Sample 14. 5 cycles */
+            pOut[3 ] = acc2b ;
+            acc7b = b0 * Xn7b + d1b;
+
+            pOut[4 ] = acc3a ; 
+            d1b = b1 * Xn7b + d2b;
+
+            pOut[5 ] = acc3b ;	
+            d2b = b2 * Xn7b;
+
+            pOut[6 ] = acc4a ;	  
+            d1b += a1 * acc7b;
+
+            pOut[7 ] = acc4b ;
+            d2b += a2 * acc7b;
+
+            /* Sample 15. 5 cycles */
+            pOut[8 ] = acc5a ;  
+            acc8a = b0 * Xn8a + d1a;
+
+            pOut[9 ] = acc5b;	
+            d1a = b1 * Xn8a + d2a;
+
+            pOut[10] = acc6a;	
+            d2a = b2 * Xn8a;
+
+            pOut[11] = acc6b;
+            d1a += a1 * acc8a;
+
+            pOut[12] = acc7a;
+            d2a += a2 * acc8a;
+
+            /* Sample 16. 5 cycles */
+            pOut[13] = acc7b;	
+            acc8b = b0 * Xn8b + d1b;
+
+            pOut[14] = acc8a;	
+            d1b = b1 * Xn8b + d2b;
+
+            pOut[15] = acc8b;
+            d2b = b2 * Xn8b;
+
+            sample--;	 
+            d1b += a1 * acc8b;
+
+            pOut += 16;
+            d2b += a2 * acc8b;
+        }
+
+        sample = blockSize & 0x7u;
+        while(sample > 0u) {
+            /* Read the input */
+            Xn1a = *pIn++; //Channel a
+            Xn1b = *pIn++; //Channel b
+
+            /* y[n] = b0 * x[n] + d1 */
+            acc1a = (b0 * Xn1a) + d1a;
+            acc1b = (b0 * Xn1b) + d1b;
+
+            /* Store the result in the accumulator in the destination buffer. */
+            *pOut++ = acc1a;
+            *pOut++ = acc1b;
+
+            /* Every time after the output is computed state should be updated. */
+            /* d1 = b1 * x[n] + a1 * y[n] + d2 */
+            d1a = ((b1 * Xn1a) + (a1 * acc1a)) + d2a;
+            d1b = ((b1 * Xn1b) + (a1 * acc1b)) + d2b;
+
+            /* d2 = b2 * x[n] + a2 * y[n] */
+            d2a = (b2 * Xn1a) + (a2 * acc1a);
+            d2b = (b2 * Xn1b) + (a2 * acc1b);
+
+            sample--;	
+        }
+
+        /* Store the updated state variables back into the state array */ 
+        pState[0] = d1a; 
+        pState[1] = d2a;         
+
+        pState[2] = d1b; 
+        pState[3] = d2b; 
+        
+        /* The current stage input is given as the output to the next stage */ 
+        pIn = pDst; 
+        /* decrement the loop counter */ 
+        stage--; 
+
+        pState += 4u;
+        /*Reset the output working pointer */ 
+        pOut = pDst; 
+
+    } while(stage > 0u);
+	
+#elif defined(ARM_MATH_CM0_FAMILY)
+
+    /* Run the below code for Cortex-M0 */
+
+    do
+    {
+        /* Reading the coefficients */
+        b0 = *pCoeffs++;
+        b1 = *pCoeffs++;
+        b2 = *pCoeffs++;
+        a1 = *pCoeffs++;
+        a2 = *pCoeffs++;
+
+        /*Reading the state values */
+        d1a = pState[0];
+        d2a = pState[1];
+        d1b = pState[2];
+        d2b = pState[3];
+
+
+        sample = blockSize;
+
+        while(sample > 0u)
+        {
+            /* Read the input */
+            Xn1a = *pIn++; //Channel a
+            Xn1b = *pIn++; //Channel b
+
+            /* y[n] = b0 * x[n] + d1 */
+            acc1a = (b0 * Xn1a) + d1a;
+            acc1b = (b0 * Xn1b) + d1b;
+
+            /* Store the result in the accumulator in the destination buffer. */
+            *pOut++ = acc1a;
+            *pOut++ = acc1b;
+
+            /* Every time after the output is computed state should be updated. */
+            /* d1 = b1 * x[n] + a1 * y[n] + d2 */
+            d1a = ((b1 * Xn1a) + (a1 * acc1a)) + d2a;
+            d1b = ((b1 * Xn1b) + (a1 * acc1b)) + d2b;
+
+            /* d2 = b2 * x[n] + a2 * y[n] */
+            d2a = (b2 * Xn1a) + (a2 * acc1a);
+            d2b = (b2 * Xn1b) + (a2 * acc1b);
+
+            /* decrement the loop counter */
+            sample--;
+        }
+
+        /* Store the updated state variables back into the state array */
+        *pState++ = d1a;
+        *pState++ = d2a;
+        *pState++ = d1b;
+        *pState++ = d2b;
+
+        /* The current stage input is given as the output to the next stage */
+        pIn = pDst;
+
+        /*Reset the output working pointer */
+        pOut = pDst;
+
+        /* decrement the loop counter */
+        stage--;
+
+    } while(stage > 0u);
+	 
+#else
+
+    float32_t Xn2a, Xn3a, Xn4a;                          /*  Input State variables     */
+    float32_t Xn2b, Xn3b, Xn4b;                          /*  Input State variables     */
+    float32_t acc2a, acc3a, acc4a;                       /*  accumulator               */
+    float32_t acc2b, acc3b, acc4b;                       /*  accumulator               */
+    float32_t p0a, p1a, p2a, p3a, p4a, A1a;
+    float32_t p0b, p1b, p2b, p3b, p4b, A1b;
+
+    /* Run the below code for Cortex-M4 and Cortex-M3 */
+    do
+    {
+        /* Reading the coefficients */     
+        b0 = *pCoeffs++;
+        b1 = *pCoeffs++;
+        b2 = *pCoeffs++;
+        a1 = *pCoeffs++;
+        a2 = *pCoeffs++;      
+
+        /*Reading the state values */
+        d1a = pState[0];
+        d2a = pState[1];
+        d1b = pState[2];
+        d2b = pState[3];
+
+        /* Apply loop unrolling and compute 4 output values simultaneously. */
+        sample = blockSize >> 2u;
+
+        /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.       
+        ** a second loop below computes the remaining 1 to 3 samples. */
+        while(sample > 0u) {
+
+            /* y[n] = b0 * x[n] + d1 */
+            /* d1 = b1 * x[n] + a1 * y[n] + d2 */
+            /* d2 = b2 * x[n] + a2 * y[n] */
+
+            /* Read the four inputs */
+            Xn1a = pIn[0];
+            Xn1b = pIn[1];
+            Xn2a = pIn[2];
+            Xn2b = pIn[3];
+            Xn3a = pIn[4];
+            Xn3b = pIn[5];
+            Xn4a = pIn[6];
+            Xn4b = pIn[7];
+            pIn += 8;     
+            
+            p0a = b0 * Xn1a; 
+            p0b = b0 * Xn1b; 
+            p1a = b1 * Xn1a;
+            p1b = b1 * Xn1b;
+            acc1a = p0a + d1a;
+            acc1b = p0b + d1b;
+            p0a = b0 * Xn2a; 
+            p0b = b0 * Xn2b; 
+            p3a = a1 * acc1a;
+            p3b = a1 * acc1b;
+            p2a = b2 * Xn1a;
+            p2b = b2 * Xn1b;
+            A1a = p1a + p3a;
+            A1b = p1b + p3b;
+            p4a = a2 * acc1a;
+            p4b = a2 * acc1b;
+            d1a = A1a + d2a;
+            d1b = A1b + d2b;
+            d2a = p2a + p4a;
+            d2b = p2b + p4b;
+            
+            p1a = b1 * Xn2a;
+            p1b = b1 * Xn2b;
+            acc2a = p0a + d1a;
+            acc2b = p0b + d1b;
+            p0a = b0 * Xn3a; 
+            p0b = b0 * Xn3b; 
+            p3a = a1 * acc2a;
+            p3b = a1 * acc2b;
+            p2a = b2 * Xn2a;
+            p2b = b2 * Xn2b;
+            A1a = p1a + p3a;
+            A1b = p1b + p3b;
+            p4a = a2 * acc2a;
+            p4b = a2 * acc2b;
+            d1a = A1a + d2a;
+            d1b = A1b + d2b;
+            d2a = p2a + p4a;
+            d2b = p2b + p4b;
+            
+            p1a = b1 * Xn3a;
+            p1b = b1 * Xn3b;
+            acc3a = p0a + d1a;
+            acc3b = p0b + d1b;
+            p0a = b0 * Xn4a; 
+            p0b = b0 * Xn4b; 
+            p3a = a1 * acc3a;
+            p3b = a1 * acc3b;
+            p2a = b2 * Xn3a;
+            p2b = b2 * Xn3b;
+            A1a = p1a + p3a;
+            A1b = p1b + p3b;
+            p4a = a2 * acc3a;
+            p4b = a2 * acc3b;
+            d1a = A1a + d2a;
+            d1b = A1b + d2b;
+            d2a = p2a + p4a;
+            d2b = p2b + p4b;
+            
+            acc4a = p0a + d1a;
+            acc4b = p0b + d1b;
+            p1a = b1 * Xn4a;
+            p1b = b1 * Xn4b;
+            p3a = a1 * acc4a;
+            p3b = a1 * acc4b;
+            p2a = b2 * Xn4a;
+            p2b = b2 * Xn4b;
+            A1a = p1a + p3a;
+            A1b = p1b + p3b;
+            p4a = a2 * acc4a;
+            p4b = a2 * acc4b;
+            d1a = A1a + d2a;
+            d1b = A1b + d2b;
+            d2a = p2a + p4a;
+            d2b = p2b + p4b;
+
+            pOut[0] = acc1a;	
+            pOut[1] = acc1b;	
+            pOut[2] = acc2a;	
+            pOut[3] = acc2b;
+            pOut[4] = acc3a;	
+            pOut[5] = acc3b;	
+            pOut[6] = acc4a;	
+            pOut[7] = acc4b;
+            pOut += 8;
+             
+            sample--;	       
+        }
+
+        sample = blockSize & 0x3u;
+        while(sample > 0u) {
+            Xn1a = *pIn++;
+            Xn1b = *pIn++;
+
+            p0a = b0 * Xn1a; 
+            p0b = b0 * Xn1b; 
+            p1a = b1 * Xn1a;
+            p1b = b1 * Xn1b;
+            acc1a = p0a + d1a;
+            acc1b = p0b + d1b;
+            p3a = a1 * acc1a;
+            p3b = a1 * acc1b;
+            p2a = b2 * Xn1a;
+            p2b = b2 * Xn1b;
+            A1a = p1a + p3a;
+            A1b = p1b + p3b;
+            p4a = a2 * acc1a;
+            p4b = a2 * acc1b;
+            d1a = A1a + d2a;
+            d1b = A1b + d2b;
+            d2a = p2a + p4a;
+            d2b = p2b + p4b;
+
+            *pOut++ = acc1a;
+            *pOut++ = acc1b;
+
+            sample--;	       
+        }
+
+        /* Store the updated state variables back into the state array */
+        *pState++ = d1a;
+        *pState++ = d2a;
+        *pState++ = d1b;
+        *pState++ = d2b;
+
+        /* The current stage input is given as the output to the next stage */
+        pIn = pDst;
+
+        /*Reset the output working pointer */
+        pOut = pDst;
+
+        /* decrement the loop counter */
+        stage--;
+
+    } while(stage > 0u);
+
+#endif 
+
+}
+LOW_OPTIMIZATION_EXIT
+
+/**       
+   * @} end of BiquadCascadeDF2T group       
+   */

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_biquad_cascade_stereo_df2T_init_f32.c
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/cmsis_dsp/FilteringFunctions/arm_biquad_cascade_stereo_df2T_init_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -0,0 +1,102 @@
+/*-----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:        arm_biquad_cascade_stereo_df2T_init_f32.c    
+*    
+* Description:  Initialization function for the floating-point transposed   
+*               direct form II Biquad cascade filter.   
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* ---------------------------------------------------------------------------*/
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup BiquadCascadeDF2T    
+ * @{    
+ */
+
+/**   
+ * @brief  Initialization function for the floating-point transposed direct form II Biquad cascade filter.   
+ * @param[in,out] *S           points to an instance of the filter data structure.   
+ * @param[in]     numStages    number of 2nd order stages in the filter.   
+ * @param[in]     *pCoeffs     points to the filter coefficients.   
+ * @param[in]     *pState      points to the state buffer.   
+ * @return        none   
+ *    
+ * <b>Coefficient and State Ordering:</b>    
+ * \par    
+ * The coefficients are stored in the array <code>pCoeffs</code> in the following order:    
+ * <pre>    
+ *     {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}    
+ * </pre>    
+ *    
+ * \par    
+ * where <code>b1x</code> and <code>a1x</code> are the coefficients for the first stage,    
+ * <code>b2x</code> and <code>a2x</code> are the coefficients for the second stage,    
+ * and so on.  The <code>pCoeffs</code> array contains a total of <code>5*numStages</code> values.    
+ *    
+ * \par    
+ * The <code>pState</code> is a pointer to state array.    
+ * Each Biquad stage has 2 state variables <code>d1,</code> and <code>d2</code> for each channel.    
+ * The 2 state variables for stage 1 are first, then the 2 state variables for stage 2, and so on.    
+ * The state array has a total length of <code>2*numStages</code> values.    
+ * The state variables are updated after each block of data is processed; the coefficients are untouched.    
+ */
+
+void arm_biquad_cascade_stereo_df2T_init_f32(
+  arm_biquad_cascade_stereo_df2T_instance_f32 * S,
+  uint8_t numStages,
+  float32_t * pCoeffs,
+  float32_t * pState)
+{
+  /* Assign filter stages */
+  S->numStages = numStages;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear state buffer and size is always 4 * numStages */
+  memset(pState, 0, (4u * (uint32_t) numStages) * sizeof(float32_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+}
+
+/**    
+ * @} end of BiquadCascadeDF2T group    
+ */

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_conv_f32.c
--- a/cmsis_dsp/FilteringFunctions/arm_conv_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_conv_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_conv_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_conv_fast_opt_q15.c
--- a/cmsis_dsp/FilteringFunctions/arm_conv_fast_opt_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_conv_fast_opt_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_conv_fast_opt_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_conv_fast_q15.c
--- a/cmsis_dsp/FilteringFunctions/arm_conv_fast_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_conv_fast_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------   
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.   
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
 *   
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *   
 * Project: 	    CMSIS DSP Library   
 * Title:		arm_conv_fast_q15.c   

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_conv_fast_q31.c
--- a/cmsis_dsp/FilteringFunctions/arm_conv_fast_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_conv_fast_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_conv_fast_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_conv_opt_q15.c
--- a/cmsis_dsp/FilteringFunctions/arm_conv_opt_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_conv_opt_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_conv_opt_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_conv_opt_q7.c
--- a/cmsis_dsp/FilteringFunctions/arm_conv_opt_q7.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_conv_opt_q7.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_conv_opt_q7.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_conv_partial_f32.c
--- a/cmsis_dsp/FilteringFunctions/arm_conv_partial_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_conv_partial_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_conv_partial_f32.c    
@@ -157,8 +157,8 @@
     /* Conditions to check which loopCounter holds    
      * the first and last indices of the output samples to be calculated. */
     check = firstIndex + numPoints;
-    blockSize3 = (int32_t) check - (int32_t) srcALen;
-    blockSize3 = (blockSize3 > 0) ? blockSize3 : 0;
+    blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0;
+    blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3;
     blockSize1 = ((int32_t) srcBLen - 1) - (int32_t) firstIndex;
     blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1u)) ? blockSize1 :
                                      (int32_t) numPoints) : 0;
@@ -273,7 +273,14 @@
      */
 
     /* Working pointer of inputA */
-    px = pIn1;
+    if((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0)
+    {
+      px = pIn1 + firstIndex - srcBLen + 1;
+    }
+    else
+    {
+      px = pIn1;
+    }
 
     /* Working pointer of inputB */
     pSrc2 = pIn2 + (srcBLen - 1u);

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_conv_partial_fast_opt_q15.c
--- a/cmsis_dsp/FilteringFunctions/arm_conv_partial_fast_opt_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_conv_partial_fast_opt_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_conv_partial_fast_opt_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_conv_partial_fast_q15.c
--- a/cmsis_dsp/FilteringFunctions/arm_conv_partial_fast_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_conv_partial_fast_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------   
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.   
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
 *   
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *   
 * Project: 	    CMSIS DSP Library   
 * Title:		arm_conv_partial_fast_q15.c   
@@ -124,8 +124,8 @@
     /* Conditions to check which loopCounter holds   
      * the first and last indices of the output samples to be calculated. */
     check = firstIndex + numPoints;
-    blockSize3 = ((int32_t) check - (int32_t) srcALen);
-    blockSize3 = (blockSize3 > 0) ? blockSize3 : 0;
+    blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0;
+    blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3;
     blockSize1 = (((int32_t) srcBLen - 1) - (int32_t) firstIndex);
     blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1u)) ? blockSize1 :
                                      (int32_t) numPoints) : 0;
@@ -280,7 +280,14 @@
      */
 
     /* Working pointer of inputA */
-    px = pIn1;
+    if((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0)
+    {
+      px = pIn1 + firstIndex - srcBLen + 1;
+    }
+    else
+    {
+      px = pIn1;
+    }
 
     /* Working pointer of inputB */
     pSrc2 = pIn2 + (srcBLen - 1u);
@@ -764,13 +771,13 @@
     /* Conditions to check which loopCounter holds   
      * the first and last indices of the output samples to be calculated. */
     check = firstIndex + numPoints;
-    blockSize3 = ((int32_t) check - (int32_t) srcALen);
-    blockSize3 = (blockSize3 > 0) ? blockSize3 : 0;
-    blockSize1 = (((int32_t) srcBLen - 1) - (int32_t) firstIndex);
+    blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0;
+    blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3;
+    blockSize1 = ((int32_t) srcBLen - 1) - (int32_t) firstIndex;
     blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1u)) ? blockSize1 :
                                      (int32_t) numPoints) : 0;
-    blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) +
-                                    (int32_t) firstIndex);
+    blockSize2 = ((int32_t) check - blockSize3) -
+      (blockSize1 + (int32_t) firstIndex);
     blockSize2 = (blockSize2 > 0) ? blockSize2 : 0;
 
     /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
@@ -818,7 +825,7 @@
     /* Second part of this stage computes the MAC operations greater than or equal to 4 */
 
     /* The first part of the stage starts here */
-  while((count < 4u) && (blockSize1 > 0u))
+  while((count < 4u) && (blockSize1 > 0))
     {
       /* Accumulator is made zero for every iteration */
       sum = 0;
@@ -856,7 +863,7 @@
      * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */
     py = py - 1;
 
-  while(blockSize1 > 0u)
+  while(blockSize1 > 0)
     {
       /* Accumulator is made zero for every iteration */
       sum = 0;
@@ -918,7 +925,14 @@
      */
 
     /* Working pointer of inputA */
-    px = pIn1;
+    if((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0)
+    {
+      px = pIn1 + firstIndex - srcBLen + 1;
+    }
+    else
+    {
+      px = pIn1;
+    }
 
     /* Working pointer of inputB */
     pSrc2 = pIn2 + (srcBLen - 1u);
@@ -1431,7 +1445,7 @@
      * so pointer py is updated to read only one sample at a time */
     py = py + 1u;
 
-  while(blockSize3 > 0u)
+  while(blockSize3 > 0)
     {
       /* Accumulator is made zero for every iteration */
       sum = 0;

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_conv_partial_fast_q31.c
--- a/cmsis_dsp/FilteringFunctions/arm_conv_partial_fast_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_conv_partial_fast_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_conv_partial_fast_q31.c    
@@ -123,8 +123,8 @@
     /* Conditions to check which loopCounter holds    
      * the first and last indices of the output samples to be calculated. */
     check = firstIndex + numPoints;
-    blockSize3 = ((int32_t) check - (int32_t) srcALen);
-    blockSize3 = (blockSize3 > 0) ? blockSize3 : 0;
+    blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0;
+    blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3;
     blockSize1 = (((int32_t) srcBLen - 1) - (int32_t) firstIndex);
     blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1u)) ? blockSize1 :
                                      (int32_t) numPoints) : 0;
@@ -244,7 +244,14 @@
      */
 
     /* Working pointer of inputA */
-    px = pIn1;
+    if((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0)
+    {
+      px = pIn1 + firstIndex - srcBLen + 1;
+    }
+    else
+    {
+      px = pIn1;
+    }
 
     /* Working pointer of inputB */
     pSrc2 = pIn2 + (srcBLen - 1u);

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_conv_partial_opt_q15.c
--- a/cmsis_dsp/FilteringFunctions/arm_conv_partial_opt_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_conv_partial_opt_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_conv_partial_opt_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_conv_partial_opt_q7.c
--- a/cmsis_dsp/FilteringFunctions/arm_conv_partial_opt_q7.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_conv_partial_opt_q7.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_conv_partial_opt_q7.c    
@@ -446,7 +446,6 @@
   q7_t *pOut = pDst;                             /* output pointer */
   q15_t x10, x11, x20, x21;                      /* Temporary input variables */
   q15_t y10, y11;                                /* Temporary input variables */
-  q7_t out0, out1, out2, out3;                   /* temporary variables */
 
   /* Check for range of output samples to be calculated */
   if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
@@ -717,13 +716,10 @@
       blkCnt--;
 
       /* Store the result in the accumulator in the destination buffer. */
-      out0 = (q7_t) (__SSAT(acc0 >> 7u, 8));
-      out1 = (q7_t) (__SSAT(acc1 >> 7u, 8));
-      out2 = (q7_t) (__SSAT(acc2 >> 7u, 8));
-      out3 = (q7_t) (__SSAT(acc3 >> 7u, 8));
-
-
-      *__SIMD32(pOut)++ = __PACKq7(out0, out1, out2, out3);
+      *pOut++ = (q7_t) (__SSAT(acc0 >> 7u, 8));
+      *pOut++ = (q7_t) (__SSAT(acc1 >> 7u, 8));
+      *pOut++ = (q7_t) (__SSAT(acc2 >> 7u, 8));
+      *pOut++ = (q7_t) (__SSAT(acc3 >> 7u, 8));
 
       /* Initialization of inputB pointer */
       pScr2 = py;

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_conv_partial_q15.c
--- a/cmsis_dsp/FilteringFunctions/arm_conv_partial_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_conv_partial_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------   
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.   
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
 *   
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *   
 * Project: 	    CMSIS DSP Library   
 * Title:		arm_conv_partial_q15.c   
@@ -131,8 +131,8 @@
     /* Conditions to check which loopCounter holds   
      * the first and last indices of the output samples to be calculated. */
     check = firstIndex + numPoints;
-    blockSize3 = ((int32_t) check - (int32_t) srcALen);
-    blockSize3 = (blockSize3 > 0) ? blockSize3 : 0;
+    blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0;
+    blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3;
     blockSize1 = (((int32_t) srcBLen - 1) - (int32_t) firstIndex);
     blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1u)) ? blockSize1 :
                                      (int32_t) numPoints) : 0;
@@ -287,7 +287,14 @@
      */
 
     /* Working pointer of inputA */
-    px = pIn1;
+    if((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0)
+    {
+      px = pIn1 + firstIndex - srcBLen + 1;
+    }
+    else
+    {
+      px = pIn1;
+    }
 
     /* Working pointer of inputB */
     pSrc2 = pIn2 + (srcBLen - 1u);

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_conv_partial_q31.c
--- a/cmsis_dsp/FilteringFunctions/arm_conv_partial_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_conv_partial_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_conv_partial_q31.c    
@@ -128,8 +128,8 @@
     /* Conditions to check which loopCounter holds    
      * the first and last indices of the output samples to be calculated. */
     check = firstIndex + numPoints;
-    blockSize3 = ((int32_t) check - (int32_t) srcALen);
-    blockSize3 = (blockSize3 > 0) ? blockSize3 : 0;
+    blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0;
+    blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3;
     blockSize1 = (((int32_t) srcBLen - 1) - (int32_t) firstIndex);
     blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1u)) ? blockSize1 :
                                      (int32_t) numPoints) : 0;
@@ -241,7 +241,14 @@
      */
 
     /* Working pointer of inputA */
-    px = pIn1;
+    if((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0)
+    {
+      px = pIn1 + firstIndex - srcBLen + 1;
+    }
+    else
+    {
+      px = pIn1;
+    }
 
     /* Working pointer of inputB */
     pSrc2 = pIn2 + (srcBLen - 1u);

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_conv_partial_q7.c
--- a/cmsis_dsp/FilteringFunctions/arm_conv_partial_q7.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_conv_partial_q7.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------   
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.   
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
 *   
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *   
 * Project: 	    CMSIS DSP Library   
 * Title:		arm_conv_partial_q7.c   
@@ -132,8 +132,8 @@
     /* Conditions to check which loopCounter holds   
      * the first and last indices of the output samples to be calculated. */
     check = firstIndex + numPoints;
-    blockSize3 = ((int32_t) check - (int32_t) srcALen);
-    blockSize3 = (blockSize3 > 0) ? blockSize3 : 0;
+    blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0;
+    blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3;
     blockSize1 = (((int32_t) srcBLen - 1) - (int32_t) firstIndex);
     blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1u)) ? blockSize1 :
                                      (int32_t) numPoints) : 0;
@@ -264,7 +264,14 @@
      */
 
     /* Working pointer of inputA */
-    px = pIn1;
+    if((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0)
+    {
+      px = pIn1 + firstIndex - srcBLen + 1;
+    }
+    else
+    {
+      px = pIn1;
+    }
 
     /* Working pointer of inputB */
     pSrc2 = pIn2 + (srcBLen - 1u);

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_conv_q15.c
--- a/cmsis_dsp/FilteringFunctions/arm_conv_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_conv_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------   
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.   
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
 *   
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *   
 * Project: 	    CMSIS DSP Library   
 * Title:		arm_conv_q15.c   

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_conv_q31.c
--- a/cmsis_dsp/FilteringFunctions/arm_conv_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_conv_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_conv_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_conv_q7.c
--- a/cmsis_dsp/FilteringFunctions/arm_conv_q7.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_conv_q7.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------   
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.   
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
 *   
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *   
 * Project: 	    CMSIS DSP Library   
 * Title:		arm_conv_q7.c   

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_correlate_f32.c
--- a/cmsis_dsp/FilteringFunctions/arm_correlate_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_correlate_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_correlate_f32.c    
@@ -146,7 +146,7 @@
   /* and the destination pointer modifier, inc is set to -1 */
   /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
   /* But to improve the performance,    
-   * we include zeroes in the output instead of zero padding either of the the inputs*/
+   * we assume zeroes in the output instead of zero padding either of the the inputs*/
   /* If srcALen > srcBLen,    
    * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
   /* If srcALen < srcBLen,    
@@ -665,7 +665,7 @@
   /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
   /* and a varaible, inv is set to 1 */
   /* If lengths are not equal then zero pad has to be done to  make the two    
-   * inputs of same length. But to improve the performance, we include zeroes    
+   * inputs of same length. But to improve the performance, we assume zeroes    
    * in the output instead of zero padding either of the the inputs*/
   /* If srcALen > srcBLen, (srcALen - srcBLen) zeroes has to included in the    
    * starting of the output buffer */

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_correlate_fast_opt_q15.c
--- a/cmsis_dsp/FilteringFunctions/arm_correlate_fast_opt_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_correlate_fast_opt_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_correlate_fast_opt_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_correlate_fast_q15.c
--- a/cmsis_dsp/FilteringFunctions/arm_correlate_fast_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_correlate_fast_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------   
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.   
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
 *   
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *   
 * Project: 	    CMSIS DSP Library   
 * Title:		arm_correlate_fast_q15.c   

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_correlate_fast_q31.c
--- a/cmsis_dsp/FilteringFunctions/arm_correlate_fast_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_correlate_fast_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_correlate_fast_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_correlate_opt_q15.c
--- a/cmsis_dsp/FilteringFunctions/arm_correlate_opt_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_correlate_opt_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_correlate_opt_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_correlate_opt_q7.c
--- a/cmsis_dsp/FilteringFunctions/arm_correlate_opt_q7.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_correlate_opt_q7.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_correlate_opt_q7.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_correlate_q15.c
--- a/cmsis_dsp/FilteringFunctions/arm_correlate_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_correlate_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------   
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.   
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
 *   
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *   
 * Project: 	    CMSIS DSP Library   
 * Title:		arm_correlate_q15.c   

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_correlate_q31.c
--- a/cmsis_dsp/FilteringFunctions/arm_correlate_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_correlate_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_correlate_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_correlate_q7.c
--- a/cmsis_dsp/FilteringFunctions/arm_correlate_q7.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_correlate_q7.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------   
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.   
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
 *   
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *   
 * Project: 	    CMSIS DSP Library   
 * Title:		arm_correlate_q7.c   

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_fir_decimate_f32.c
--- a/cmsis_dsp/FilteringFunctions/arm_fir_decimate_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_fir_decimate_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_fir_decimate_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_fir_decimate_fast_q15.c
--- a/cmsis_dsp/FilteringFunctions/arm_fir_decimate_fast_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_fir_decimate_fast_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_fir_decimate_fast_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_fir_decimate_fast_q31.c
--- a/cmsis_dsp/FilteringFunctions/arm_fir_decimate_fast_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_fir_decimate_fast_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_fir_decimate_fast_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_fir_decimate_init_f32.c
--- a/cmsis_dsp/FilteringFunctions/arm_fir_decimate_init_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_fir_decimate_init_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:        arm_fir_decimate_init_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_fir_decimate_init_q15.c
--- a/cmsis_dsp/FilteringFunctions/arm_fir_decimate_init_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_fir_decimate_init_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:        arm_fir_decimate_init_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_fir_decimate_init_q31.c
--- a/cmsis_dsp/FilteringFunctions/arm_fir_decimate_init_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_fir_decimate_init_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:        arm_fir_decimate_init_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_fir_decimate_q15.c
--- a/cmsis_dsp/FilteringFunctions/arm_fir_decimate_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_fir_decimate_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_fir_decimate_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_fir_decimate_q31.c
--- a/cmsis_dsp/FilteringFunctions/arm_fir_decimate_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_fir_decimate_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_fir_decimate_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_fir_f32.c
--- a/cmsis_dsp/FilteringFunctions/arm_fir_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_fir_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------  
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.  
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.  
 *  
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *  
 * Project: 	    CMSIS DSP Library  
 * Title:	    arm_fir_f32.c  
@@ -131,7 +131,434 @@
 *  
 */
 
-#ifndef ARM_MATH_CM0_FAMILY
+#if defined(ARM_MATH_CM7)
+
+void arm_fir_f32(
+const arm_fir_instance_f32 * S,
+float32_t * pSrc,
+float32_t * pDst,
+uint32_t blockSize)
+{
+   float32_t *pState = S->pState;                 /* State pointer */
+   float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
+   float32_t *pStateCurnt;                        /* Points to the current sample of the state */
+   float32_t *px, *pb;                            /* Temporary pointers for state and coefficient buffers */
+   float32_t acc0, acc1, acc2, acc3, acc4, acc5, acc6, acc7;     /* Accumulators */
+   float32_t x0, x1, x2, x3, x4, x5, x6, x7, c0;  /* Temporary variables to hold state and coefficient values */
+   uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+   uint32_t i, tapCnt, blkCnt;                    /* Loop counters */
+
+   /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+   /* pStateCurnt points to the location where the new input data should be written */
+   pStateCurnt = &(S->pState[(numTaps - 1u)]);
+
+   /* Apply loop unrolling and compute 8 output values simultaneously.  
+    * The variables acc0 ... acc7 hold output values that are being computed:  
+    *  
+    *    acc0 =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]  
+    *    acc1 =  b[numTaps-1] * x[n-numTaps] +   b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]  
+    *    acc2 =  b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] +   b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]  
+    *    acc3 =  b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps]   +...+ b[0] * x[3]  
+    */
+   blkCnt = blockSize >> 3;
+
+   /* First part of the processing with loop unrolling.  Compute 8 outputs at a time.  
+   ** a second loop below computes the remaining 1 to 7 samples. */
+   while(blkCnt > 0u)
+   {
+      /* Copy four new input samples into the state buffer */
+      *pStateCurnt++ = *pSrc++;
+      *pStateCurnt++ = *pSrc++;
+      *pStateCurnt++ = *pSrc++;
+      *pStateCurnt++ = *pSrc++;
+
+      /* Set all accumulators to zero */
+      acc0 = 0.0f;
+      acc1 = 0.0f;
+      acc2 = 0.0f;
+      acc3 = 0.0f;
+      acc4 = 0.0f;
+      acc5 = 0.0f;
+      acc6 = 0.0f;
+      acc7 = 0.0f;		
+
+      /* Initialize state pointer */
+      px = pState;
+
+      /* Initialize coeff pointer */
+      pb = (pCoeffs);		
+   
+      /* This is separated from the others to avoid 
+       * a call to __aeabi_memmove which would be slower
+       */
+      *pStateCurnt++ = *pSrc++;
+      *pStateCurnt++ = *pSrc++;
+      *pStateCurnt++ = *pSrc++;
+      *pStateCurnt++ = *pSrc++;
+
+      /* Read the first seven samples from the state buffer:  x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2] */
+      x0 = *px++;
+      x1 = *px++;
+      x2 = *px++;
+      x3 = *px++;
+      x4 = *px++;
+      x5 = *px++;
+      x6 = *px++;
+
+      /* Loop unrolling.  Process 8 taps at a time. */
+      tapCnt = numTaps >> 3u;
+      
+      /* Loop over the number of taps.  Unroll by a factor of 8.  
+       ** Repeat until we've computed numTaps-8 coefficients. */
+      while(tapCnt > 0u)
+      {
+         /* Read the b[numTaps-1] coefficient */
+         c0 = *(pb++);
+
+         /* Read x[n-numTaps-3] sample */
+         x7 = *(px++);
+
+         /* acc0 +=  b[numTaps-1] * x[n-numTaps] */
+         acc0 += x0 * c0;
+
+         /* acc1 +=  b[numTaps-1] * x[n-numTaps-1] */
+         acc1 += x1 * c0;
+
+         /* acc2 +=  b[numTaps-1] * x[n-numTaps-2] */
+         acc2 += x2 * c0;
+
+         /* acc3 +=  b[numTaps-1] * x[n-numTaps-3] */
+         acc3 += x3 * c0;
+
+         /* acc4 +=  b[numTaps-1] * x[n-numTaps-4] */
+         acc4 += x4 * c0;
+
+         /* acc1 +=  b[numTaps-1] * x[n-numTaps-5] */
+         acc5 += x5 * c0;
+
+         /* acc2 +=  b[numTaps-1] * x[n-numTaps-6] */
+         acc6 += x6 * c0;
+
+         /* acc3 +=  b[numTaps-1] * x[n-numTaps-7] */
+         acc7 += x7 * c0;
+         
+         /* Read the b[numTaps-2] coefficient */
+         c0 = *(pb++);
+
+         /* Read x[n-numTaps-4] sample */
+         x0 = *(px++);
+
+         /* Perform the multiply-accumulate */
+         acc0 += x1 * c0;
+         acc1 += x2 * c0;   
+         acc2 += x3 * c0;   
+         acc3 += x4 * c0;   
+         acc4 += x5 * c0;   
+         acc5 += x6 * c0;   
+         acc6 += x7 * c0;   
+         acc7 += x0 * c0;   
+         
+         /* Read the b[numTaps-3] coefficient */
+         c0 = *(pb++);
+
+         /* Read x[n-numTaps-5] sample */
+         x1 = *(px++);
+
+         /* Perform the multiply-accumulates */      
+         acc0 += x2 * c0;
+         acc1 += x3 * c0;   
+         acc2 += x4 * c0;   
+         acc3 += x5 * c0;   
+         acc4 += x6 * c0;   
+         acc5 += x7 * c0;   
+         acc6 += x0 * c0;   
+         acc7 += x1 * c0;   
+
+         /* Read the b[numTaps-4] coefficient */
+         c0 = *(pb++);
+
+         /* Read x[n-numTaps-6] sample */
+         x2 = *(px++);
+
+         /* Perform the multiply-accumulates */      
+         acc0 += x3 * c0;
+         acc1 += x4 * c0;   
+         acc2 += x5 * c0;   
+         acc3 += x6 * c0;   
+         acc4 += x7 * c0;   
+         acc5 += x0 * c0;   
+         acc6 += x1 * c0;   
+         acc7 += x2 * c0;   
+
+         /* Read the b[numTaps-4] coefficient */
+         c0 = *(pb++);
+
+         /* Read x[n-numTaps-6] sample */
+         x3 = *(px++);
+         /* Perform the multiply-accumulates */      
+         acc0 += x4 * c0;
+         acc1 += x5 * c0;   
+         acc2 += x6 * c0;   
+         acc3 += x7 * c0;   
+         acc4 += x0 * c0;   
+         acc5 += x1 * c0;   
+         acc6 += x2 * c0;   
+         acc7 += x3 * c0;   
+
+         /* Read the b[numTaps-4] coefficient */
+         c0 = *(pb++);
+
+         /* Read x[n-numTaps-6] sample */
+         x4 = *(px++);
+
+         /* Perform the multiply-accumulates */      
+         acc0 += x5 * c0;
+         acc1 += x6 * c0;   
+         acc2 += x7 * c0;   
+         acc3 += x0 * c0;   
+         acc4 += x1 * c0;   
+         acc5 += x2 * c0;   
+         acc6 += x3 * c0;   
+         acc7 += x4 * c0;   
+
+         /* Read the b[numTaps-4] coefficient */
+         c0 = *(pb++);
+
+         /* Read x[n-numTaps-6] sample */
+         x5 = *(px++);
+
+         /* Perform the multiply-accumulates */      
+         acc0 += x6 * c0;
+         acc1 += x7 * c0;   
+         acc2 += x0 * c0;   
+         acc3 += x1 * c0;   
+         acc4 += x2 * c0;   
+         acc5 += x3 * c0;   
+         acc6 += x4 * c0;   
+         acc7 += x5 * c0;   
+
+         /* Read the b[numTaps-4] coefficient */
+         c0 = *(pb++);
+
+         /* Read x[n-numTaps-6] sample */
+         x6 = *(px++);
+
+         /* Perform the multiply-accumulates */      
+         acc0 += x7 * c0;
+         acc1 += x0 * c0;   
+         acc2 += x1 * c0;   
+         acc3 += x2 * c0;   
+         acc4 += x3 * c0;   
+         acc5 += x4 * c0;   
+         acc6 += x5 * c0;   
+         acc7 += x6 * c0;   
+
+         tapCnt--;
+      }
+
+      /* If the filter length is not a multiple of 8, compute the remaining filter taps */
+      tapCnt = numTaps % 0x8u;
+
+      while(tapCnt > 0u)
+      {
+         /* Read coefficients */
+         c0 = *(pb++);
+
+         /* Fetch 1 state variable */
+         x7 = *(px++);
+
+         /* Perform the multiply-accumulates */      
+         acc0 += x0 * c0;
+         acc1 += x1 * c0;   
+         acc2 += x2 * c0;   
+         acc3 += x3 * c0;   
+         acc4 += x4 * c0;   
+         acc5 += x5 * c0;   
+         acc6 += x6 * c0;   
+         acc7 += x7 * c0;   
+
+         /* Reuse the present sample states for next sample */
+         x0 = x1;
+         x1 = x2;
+         x2 = x3;
+         x3 = x4;
+         x4 = x5;
+         x5 = x6;
+         x6 = x7;
+
+         /* Decrement the loop counter */
+         tapCnt--;
+      }
+
+      /* Advance the state pointer by 8 to process the next group of 8 samples */
+      pState = pState + 8;
+
+      /* The results in the 8 accumulators, store in the destination buffer. */
+      *pDst++ = acc0;
+      *pDst++ = acc1;
+      *pDst++ = acc2;
+      *pDst++ = acc3;
+      *pDst++ = acc4;
+      *pDst++ = acc5;
+      *pDst++ = acc6;
+      *pDst++ = acc7;
+
+      blkCnt--;
+   }
+
+   /* If the blockSize is not a multiple of 8, compute any remaining output samples here.  
+   ** No loop unrolling is used. */
+   blkCnt = blockSize % 0x8u;
+
+   while(blkCnt > 0u)
+   {
+      /* Copy one sample at a time into state buffer */
+      *pStateCurnt++ = *pSrc++;
+
+      /* Set the accumulator to zero */
+      acc0 = 0.0f;
+
+      /* Initialize state pointer */
+      px = pState;
+
+      /* Initialize Coefficient pointer */
+      pb = (pCoeffs);
+
+      i = numTaps;
+
+      /* Perform the multiply-accumulates */
+      do
+      {
+         acc0 += *px++ * *pb++;
+         i--;
+
+      } while(i > 0u);
+
+      /* The result is store in the destination buffer. */
+      *pDst++ = acc0;
+
+      /* Advance state pointer by 1 for the next sample */
+      pState = pState + 1;
+
+      blkCnt--;
+   }
+
+   /* Processing is complete.  
+   ** Now copy the last numTaps - 1 samples to the start of the state buffer.  
+   ** This prepares the state buffer for the next function call. */
+
+   /* Points to the start of the state buffer */
+   pStateCurnt = S->pState;
+
+   tapCnt = (numTaps - 1u) >> 2u;
+
+   /* copy data */
+   while(tapCnt > 0u)
+   {
+      *pStateCurnt++ = *pState++;
+      *pStateCurnt++ = *pState++;
+      *pStateCurnt++ = *pState++;
+      *pStateCurnt++ = *pState++;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+   }
+
+   /* Calculate remaining number of copies */
+   tapCnt = (numTaps - 1u) % 0x4u;
+
+   /* Copy the remaining q31_t data */
+   while(tapCnt > 0u)
+   {
+      *pStateCurnt++ = *pState++;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+   }
+}
+
+#elif defined(ARM_MATH_CM0_FAMILY)
+
+void arm_fir_f32(
+const arm_fir_instance_f32 * S,
+float32_t * pSrc,
+float32_t * pDst,
+uint32_t blockSize)
+{
+   float32_t *pState = S->pState;                 /* State pointer */
+   float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
+   float32_t *pStateCurnt;                        /* Points to the current sample of the state */
+   float32_t *px, *pb;                            /* Temporary pointers for state and coefficient buffers */
+   uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+   uint32_t i, tapCnt, blkCnt;                    /* Loop counters */
+
+   /* Run the below code for Cortex-M0 */
+
+   float32_t acc;
+
+   /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+   /* pStateCurnt points to the location where the new input data should be written */
+   pStateCurnt = &(S->pState[(numTaps - 1u)]);
+
+   /* Initialize blkCnt with blockSize */
+   blkCnt = blockSize;
+
+   while(blkCnt > 0u)
+   {
+      /* Copy one sample at a time into state buffer */
+      *pStateCurnt++ = *pSrc++;
+
+      /* Set the accumulator to zero */
+      acc = 0.0f;
+
+      /* Initialize state pointer */
+      px = pState;
+
+      /* Initialize Coefficient pointer */
+      pb = pCoeffs;
+
+      i = numTaps;
+
+      /* Perform the multiply-accumulates */
+      do
+      {
+         /* acc =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */
+         acc += *px++ * *pb++;
+         i--;
+
+      } while(i > 0u);
+
+      /* The result is store in the destination buffer. */
+      *pDst++ = acc;
+
+      /* Advance state pointer by 1 for the next sample */
+      pState = pState + 1;
+
+      blkCnt--;
+   }
+
+   /* Processing is complete.         
+   ** Now copy the last numTaps - 1 samples to the starting of the state buffer.       
+   ** This prepares the state buffer for the next function call. */
+
+   /* Points to the start of the state buffer */
+   pStateCurnt = S->pState;
+
+   /* Copy numTaps number of values */
+   tapCnt = numTaps - 1u;
+
+   /* Copy data */
+   while(tapCnt > 0u)
+   {
+      *pStateCurnt++ = *pState++;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+   }
+
+}
+
+#else
 
 /* Run the below code for Cortex-M4 and Cortex-M3 */
 
@@ -563,88 +990,7 @@
    }
 }
 
-#else
-
-void arm_fir_f32(
-const arm_fir_instance_f32 * S,
-float32_t * pSrc,
-float32_t * pDst,
-uint32_t blockSize)
-{
-   float32_t *pState = S->pState;                 /* State pointer */
-   float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
-   float32_t *pStateCurnt;                        /* Points to the current sample of the state */
-   float32_t *px, *pb;                            /* Temporary pointers for state and coefficient buffers */
-   uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
-   uint32_t i, tapCnt, blkCnt;                    /* Loop counters */
-
-   /* Run the below code for Cortex-M0 */
-
-   float32_t acc;
-
-   /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
-   /* pStateCurnt points to the location where the new input data should be written */
-   pStateCurnt = &(S->pState[(numTaps - 1u)]);
-
-   /* Initialize blkCnt with blockSize */
-   blkCnt = blockSize;
-
-   while(blkCnt > 0u)
-   {
-      /* Copy one sample at a time into state buffer */
-      *pStateCurnt++ = *pSrc++;
-
-      /* Set the accumulator to zero */
-      acc = 0.0f;
-
-      /* Initialize state pointer */
-      px = pState;
-
-      /* Initialize Coefficient pointer */
-      pb = pCoeffs;
-
-      i = numTaps;
-
-      /* Perform the multiply-accumulates */
-      do
-      {
-         /* acc =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */
-         acc += *px++ * *pb++;
-         i--;
-
-      } while(i > 0u);
-
-      /* The result is store in the destination buffer. */
-      *pDst++ = acc;
-
-      /* Advance state pointer by 1 for the next sample */
-      pState = pState + 1;
-
-      blkCnt--;
-   }
-
-   /* Processing is complete.         
-   ** Now copy the last numTaps - 1 samples to the starting of the state buffer.       
-   ** This prepares the state buffer for the next function call. */
-
-   /* Points to the start of the state buffer */
-   pStateCurnt = S->pState;
-
-   /* Copy numTaps number of values */
-   tapCnt = numTaps - 1u;
-
-   /* Copy data */
-   while(tapCnt > 0u)
-   {
-      *pStateCurnt++ = *pState++;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-   }
-
-}
-
-#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
+#endif 
 
 /**  
 * @} end of FIR group  

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_fir_fast_q15.c
--- a/cmsis_dsp/FilteringFunctions/arm_fir_fast_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_fir_fast_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:        arm_fir_fast_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_fir_fast_q31.c
--- a/cmsis_dsp/FilteringFunctions/arm_fir_fast_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_fir_fast_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013  
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_fir_fast_q31.c    
@@ -138,10 +138,10 @@
     while(i > 0u)
     {
       /* Read the b[numTaps] coefficient */
-      c0 = *(pb++);
+      c0 = *pb;
 
       /* Read x[n-numTaps-3] sample */
-      x3 = *(px++);
+      x3 = *px;
 
       /* acc0 +=  b[numTaps] * x[n-numTaps] */
       multAcc_32x32_keep32_R(acc0, x0, c0);
@@ -156,10 +156,10 @@
       multAcc_32x32_keep32_R(acc3, x3, c0);
 
       /* Read the b[numTaps-1] coefficient */
-      c0 = *(pb++);
+      c0 = *(pb + 1u);
 
       /* Read x[n-numTaps-4] sample */
-      x0 = *(px++);
+      x0 = *(px + 1u);
 
       /* Perform the multiply-accumulates */      
       multAcc_32x32_keep32_R(acc0, x1, c0);
@@ -168,10 +168,10 @@
       multAcc_32x32_keep32_R(acc3, x0, c0);
 
       /* Read the b[numTaps-2] coefficient */
-      c0 = *(pb++);
+      c0 = *(pb + 2u);
 
       /* Read x[n-numTaps-5] sample */
-      x1 = *(px++);
+      x1 = *(px + 2u);
 
       /* Perform the multiply-accumulates */      
       multAcc_32x32_keep32_R(acc0, x2, c0);
@@ -180,16 +180,22 @@
       multAcc_32x32_keep32_R(acc3, x1, c0);
 
       /* Read the b[numTaps-3] coefficients */
-      c0 = *(pb++);
+      c0 = *(pb + 3u);
 
       /* Read x[n-numTaps-6] sample */
-      x2 = *(px++);
+      x2 = *(px + 3u);
 
       /* Perform the multiply-accumulates */      
       multAcc_32x32_keep32_R(acc0, x3, c0);
       multAcc_32x32_keep32_R(acc1, x0, c0);
       multAcc_32x32_keep32_R(acc2, x1, c0);
       multAcc_32x32_keep32_R(acc3, x2, c0);
+
+      /* update coefficient pointer */
+      pb += 4u;
+      px += 4u;
+      
+      /* Decrement the loop counter */
       i--;
     }
 

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_fir_init_f32.c
--- a/cmsis_dsp/FilteringFunctions/arm_fir_init_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_fir_init_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:        arm_fir_init_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_fir_init_q15.c
--- a/cmsis_dsp/FilteringFunctions/arm_fir_init_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_fir_init_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:        arm_fir_init_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_fir_init_q31.c
--- a/cmsis_dsp/FilteringFunctions/arm_fir_init_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_fir_init_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_fir_init_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_fir_init_q7.c
--- a/cmsis_dsp/FilteringFunctions/arm_fir_init_q7.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_fir_init_q7.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:        arm_fir_init_q7.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_fir_interpolate_f32.c
--- a/cmsis_dsp/FilteringFunctions/arm_fir_interpolate_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_fir_interpolate_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_fir_interpolate_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_fir_interpolate_init_f32.c
--- a/cmsis_dsp/FilteringFunctions/arm_fir_interpolate_init_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_fir_interpolate_init_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:        arm_fir_interpolate_init_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_fir_interpolate_init_q15.c
--- a/cmsis_dsp/FilteringFunctions/arm_fir_interpolate_init_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_fir_interpolate_init_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:        arm_fir_interpolate_init_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_fir_interpolate_init_q31.c
--- a/cmsis_dsp/FilteringFunctions/arm_fir_interpolate_init_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_fir_interpolate_init_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:        arm_fir_interpolate_init_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_fir_interpolate_q15.c
--- a/cmsis_dsp/FilteringFunctions/arm_fir_interpolate_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_fir_interpolate_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_fir_interpolate_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_fir_interpolate_q31.c
--- a/cmsis_dsp/FilteringFunctions/arm_fir_interpolate_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_fir_interpolate_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_fir_interpolate_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_fir_lattice_f32.c
--- a/cmsis_dsp/FilteringFunctions/arm_fir_lattice_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_fir_lattice_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_fir_lattice_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_fir_lattice_init_f32.c
--- a/cmsis_dsp/FilteringFunctions/arm_fir_lattice_init_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_fir_lattice_init_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:        arm_fir_lattice_init_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_fir_lattice_init_q15.c
--- a/cmsis_dsp/FilteringFunctions/arm_fir_lattice_init_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_fir_lattice_init_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:        arm_fir_lattice_init_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_fir_lattice_init_q31.c
--- a/cmsis_dsp/FilteringFunctions/arm_fir_lattice_init_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_fir_lattice_init_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:        arm_fir_lattice_init_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_fir_lattice_q15.c
--- a/cmsis_dsp/FilteringFunctions/arm_fir_lattice_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_fir_lattice_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_fir_lattice_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_fir_lattice_q31.c
--- a/cmsis_dsp/FilteringFunctions/arm_fir_lattice_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_fir_lattice_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_fir_lattice_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_fir_q15.c
--- a/cmsis_dsp/FilteringFunctions/arm_fir_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_fir_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:        arm_fir_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_fir_q31.c
--- a/cmsis_dsp/FilteringFunctions/arm_fir_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_fir_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_fir_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_fir_q7.c
--- a/cmsis_dsp/FilteringFunctions/arm_fir_q7.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_fir_q7.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:        arm_fir_q7.c    
@@ -137,11 +137,11 @@
     while(i > 0u)
     {
       /* Read the b[numTaps] coefficient */
-      c0 = *(pb++);
+      c0 = *pb;
 
       /* Read x[n-numTaps-3] sample */
-      x3 = *(px++);
-
+      x3 = *px;
+      
       /* acc0 +=  b[numTaps] * x[n-numTaps] */
       acc0 += ((q15_t) x0 * c0);
 
@@ -155,10 +155,10 @@
       acc3 += ((q15_t) x3 * c0);
 
       /* Read the b[numTaps-1] coefficient */
-      c0 = *(pb++);
+      c0 = *(pb + 1u);
 
       /* Read x[n-numTaps-4] sample */
-      x0 = *(px++);
+      x0 = *(px + 1u);
 
       /* Perform the multiply-accumulates */
       acc0 += ((q15_t) x1 * c0);
@@ -167,27 +167,34 @@
       acc3 += ((q15_t) x0 * c0);
 
       /* Read the b[numTaps-2] coefficient */
-      c0 = *(pb++);
+      c0 = *(pb + 2u);
 
       /* Read x[n-numTaps-5] sample */
-      x1 = *(px++);
+      x1 = *(px + 2u);
 
       /* Perform the multiply-accumulates */
       acc0 += ((q15_t) x2 * c0);
       acc1 += ((q15_t) x3 * c0);
       acc2 += ((q15_t) x0 * c0);
       acc3 += ((q15_t) x1 * c0);
+
       /* Read the b[numTaps-3] coefficients */
-      c0 = *(pb++);
+      c0 = *(pb + 3u);
 
       /* Read x[n-numTaps-6] sample */
-      x2 = *(px++);
-
+      x2 = *(px + 3u);
+      
       /* Perform the multiply-accumulates */
       acc0 += ((q15_t) x3 * c0);
       acc1 += ((q15_t) x0 * c0);
       acc2 += ((q15_t) x1 * c0);
       acc3 += ((q15_t) x2 * c0);
+
+      /* update coefficient pointer */
+      pb += 4u;
+      px += 4u;
+      
+      /* Decrement the loop counter */
       i--;
     }
 

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_fir_sparse_f32.c
--- a/cmsis_dsp/FilteringFunctions/arm_fir_sparse_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_fir_sparse_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_fir_sparse_f32.c    
@@ -220,7 +220,7 @@
   }
 
   /* Loop over the number of taps. */
-  tapCnt = (uint32_t) numTaps - 1u;
+  tapCnt = (uint32_t) numTaps - 2u;
 
   while(tapCnt > 0u)
   {
@@ -285,6 +285,51 @@
     /* Decrement the tap loop counter */
     tapCnt--;
   }
+	
+	/* Compute last tap without the final read of pTapDelay */
+
+	/* Working pointer for state buffer is updated */
+	py = pState;
+
+	/* blockSize samples are read from the state buffer */
+	arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
+											 (int32_t *) pb, (int32_t *) pb, blockSize, 1,
+											 blockSize);
+
+	/* Working pointer for the scratch buffer */
+	px = pb;
+
+	/* Working pointer for destination buffer */
+	pOut = pDst;
+
+	/* Loop over the blockSize. Unroll by a factor of 4.    
+	 * Compute 4 MACS at a time. */
+	blkCnt = blockSize >> 2u;
+
+	while(blkCnt > 0u)
+	{
+		/* Perform Multiply-Accumulate */
+		*pOut++ += *px++ * coeff;
+		*pOut++ += *px++ * coeff;
+		*pOut++ += *px++ * coeff;
+		*pOut++ += *px++ * coeff;
+
+		/* Decrement the loop counter */
+		blkCnt--;
+	}
+
+	/* If the blockSize is not a multiple of 4,    
+	 * compute the remaining samples */
+	blkCnt = blockSize % 0x4u;
+
+	while(blkCnt > 0u)
+	{
+		/* Perform Multiply-Accumulate */
+		*pOut++ += *px++ * coeff;
+
+		/* Decrement the loop counter */
+		blkCnt--;
+	}
 
 #else
 
@@ -315,7 +360,7 @@
   }
 
   /* Loop over the number of taps. */
-  tapCnt = (uint32_t) numTaps - 1u;
+  tapCnt = (uint32_t) numTaps - 2u;
 
   while(tapCnt > 0u)
   {
@@ -362,6 +407,33 @@
     /* Decrement the tap loop counter */
     tapCnt--;
   }
+	
+	/* Compute last tap without the final read of pTapDelay */	
+	
+	/* Working pointer for state buffer is updated */
+	py = pState;
+
+	/* blockSize samples are read from the state buffer */
+	arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
+											 (int32_t *) pb, (int32_t *) pb, blockSize, 1,
+											 blockSize);
+
+	/* Working pointer for the scratch buffer */
+	px = pb;
+
+	/* Working pointer for destination buffer */
+	pOut = pDst;
+
+	blkCnt = blockSize;
+
+	while(blkCnt > 0u)
+	{
+		/* Perform Multiply-Accumulate */
+		*pOut++ += *px++ * coeff;
+
+		/* Decrement the loop counter */
+		blkCnt--;
+	}
 
 #endif /*   #ifndef ARM_MATH_CM0_FAMILY        */
 

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_fir_sparse_init_f32.c
--- a/cmsis_dsp/FilteringFunctions/arm_fir_sparse_init_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_fir_sparse_init_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:        arm_fir_sparse_init_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_fir_sparse_init_q15.c
--- a/cmsis_dsp/FilteringFunctions/arm_fir_sparse_init_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_fir_sparse_init_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:        arm_fir_sparse_init_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_fir_sparse_init_q31.c
--- a/cmsis_dsp/FilteringFunctions/arm_fir_sparse_init_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_fir_sparse_init_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:        arm_fir_sparse_init_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_fir_sparse_init_q7.c
--- a/cmsis_dsp/FilteringFunctions/arm_fir_sparse_init_q7.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_fir_sparse_init_q7.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:        arm_fir_sparse_init_q7.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_fir_sparse_q15.c
--- a/cmsis_dsp/FilteringFunctions/arm_fir_sparse_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_fir_sparse_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_fir_sparse_q15.c    
@@ -169,7 +169,7 @@
   }
 
   /* Loop over the number of taps. */
-  tapCnt = (uint32_t) numTaps - 1u;
+  tapCnt = (uint32_t) numTaps - 2u;
 
   while(tapCnt > 0u)
   {
@@ -231,6 +231,50 @@
     /* Decrement the tap loop counter */
     tapCnt--;
   }
+	
+	/* Compute last tap without the final read of pTapDelay */		
+
+	/* Working pointer for state buffer is updated */
+	py = pState;
+
+	/* blockSize samples are read from the state buffer */
+	arm_circularRead_q15(py, delaySize, &readIndex, 1,
+											 pb, pb, blockSize, 1, blockSize);
+
+	/* Working pointer for the scratch buffer of state values */
+	px = pb;
+
+	/* Working pointer for scratch buffer of output values */
+	pScratchOut = pScr2;
+
+	/* Loop over the blockSize. Unroll by a factor of 4.    
+	 * Compute 4 MACS at a time. */
+	blkCnt = blockSize >> 2;
+
+	while(blkCnt > 0u)
+	{
+		/* Perform Multiply-Accumulate */
+		*pScratchOut++ += (q31_t) * px++ * coeff;
+		*pScratchOut++ += (q31_t) * px++ * coeff;
+		*pScratchOut++ += (q31_t) * px++ * coeff;
+		*pScratchOut++ += (q31_t) * px++ * coeff;
+
+		/* Decrement the loop counter */
+		blkCnt--;
+	}
+
+	/* If the blockSize is not a multiple of 4,    
+	 * compute the remaining samples */
+	blkCnt = blockSize % 0x4u;
+
+	while(blkCnt > 0u)
+	{
+		/* Perform Multiply-Accumulate */
+		*pScratchOut++ += (q31_t) * px++ * coeff;
+
+		/* Decrement the loop counter */
+		blkCnt--;
+	}
 
   /* All the output values are in pScratchOut buffer.    
      Convert them into 1.15 format, saturate and store in the destination buffer. */
@@ -346,7 +390,7 @@
   }
 
   /* Loop over the number of taps. */
-  tapCnt = (uint32_t) numTaps - 1u;
+  tapCnt = (uint32_t) numTaps - 2u;
 
   while(tapCnt > 0u)
   {
@@ -390,6 +434,32 @@
     /* Decrement the tap loop counter */
     tapCnt--;
   }
+	
+	/* Compute last tap without the final read of pTapDelay */	
+	
+	/* Working pointer for state buffer is updated */
+	py = pState;
+
+	/* blockSize samples are read from the state buffer */
+	arm_circularRead_q15(py, delaySize, &readIndex, 1,
+											 pb, pb, blockSize, 1, blockSize);
+
+	/* Working pointer for the scratch buffer of state values */
+	px = pb;
+
+	/* Working pointer for scratch buffer of output values */
+	pScratchOut = pScr2;
+
+	blkCnt = blockSize;
+
+	while(blkCnt > 0u)
+	{
+		/* Perform Multiply-Accumulate */
+		*pScratchOut++ += (q31_t) * px++ * coeff;
+
+		/* Decrement the loop counter */
+		blkCnt--;
+	}
 
   /* All the output values are in pScratchOut buffer.       
      Convert them into 1.15 format, saturate and store in the destination buffer. */

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_fir_sparse_q31.c
--- a/cmsis_dsp/FilteringFunctions/arm_fir_sparse_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_fir_sparse_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_fir_sparse_q31.c    
@@ -163,7 +163,7 @@
   }
 
   /* Loop over the number of taps. */
-  tapCnt = (uint32_t) numTaps - 1u;
+  tapCnt = (uint32_t) numTaps - 2u;
 
   while(tapCnt > 0u)
   {
@@ -238,6 +238,63 @@
     /* Decrement the tap loop counter */
     tapCnt--;
   }
+	
+	/* Compute last tap without the final read of pTapDelay */
+	
+	/* Working pointer for state buffer is updated */
+	py = pState;
+
+	/* blockSize samples are read from the state buffer */
+	arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
+											 (int32_t *) pb, (int32_t *) pb, blockSize, 1,
+											 blockSize);
+
+	/* Working pointer for the scratch buffer of state values */
+	px = pb;
+
+	/* Working pointer for scratch buffer of output values */
+	pOut = pDst;
+
+	/* Loop over the blockSize. Unroll by a factor of 4.    
+	 * Compute 4 MACS at a time. */
+	blkCnt = blockSize >> 2;
+
+	while(blkCnt > 0u)
+	{
+		out = *pOut;
+		out += ((q63_t) * px++ * coeff) >> 32;
+		*pOut++ = (q31_t) (out);
+
+		out = *pOut;
+		out += ((q63_t) * px++ * coeff) >> 32;
+		*pOut++ = (q31_t) (out);
+
+		out = *pOut;
+		out += ((q63_t) * px++ * coeff) >> 32;
+		*pOut++ = (q31_t) (out);
+
+		out = *pOut;
+		out += ((q63_t) * px++ * coeff) >> 32;
+		*pOut++ = (q31_t) (out);
+
+		/* Decrement the loop counter */
+		blkCnt--;
+	}
+
+	/* If the blockSize is not a multiple of 4,    
+	 * compute the remaining samples */
+	blkCnt = blockSize % 0x4u;
+
+	while(blkCnt > 0u)
+	{
+		/* Perform Multiply-Accumulate */
+		out = *pOut;
+		out += ((q63_t) * px++ * coeff) >> 32;
+		*pOut++ = (q31_t) (out);
+
+		/* Decrement the loop counter */
+		blkCnt--;
+	}	
 
   /* Working output pointer is updated */
   pOut = pDst;
@@ -303,7 +360,7 @@
   }
 
   /* Loop over the number of taps. */
-  tapCnt = (uint32_t) numTaps - 1u;
+  tapCnt = (uint32_t) numTaps - 2u;
 
   while(tapCnt > 0u)
   {
@@ -350,6 +407,35 @@
     /* Decrement the tap loop counter */
     tapCnt--;
   }
+	
+	/* Compute last tap without the final read of pTapDelay */	
+	
+	/* Working pointer for state buffer is updated */
+	py = pState;
+
+	/* blockSize samples are read from the state buffer */
+	arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
+											 (int32_t *) pb, (int32_t *) pb, blockSize, 1,
+											 blockSize);
+
+	/* Working pointer for the scratch buffer of state values */
+	px = pb;
+
+	/* Working pointer for scratch buffer of output values */
+	pOut = pDst;
+
+	blkCnt = blockSize;
+
+	while(blkCnt > 0u)
+	{
+		/* Perform Multiply-Accumulate */
+		out = *pOut;
+		out += ((q63_t) * px++ * coeff) >> 32;
+		*pOut++ = (q31_t) (out);
+
+		/* Decrement the loop counter */
+		blkCnt--;
+	}
 
   /* Working output pointer is updated */
   pOut = pDst;

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_fir_sparse_q7.c
--- a/cmsis_dsp/FilteringFunctions/arm_fir_sparse_q7.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_fir_sparse_q7.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_fir_sparse_q7.c    
@@ -174,7 +174,7 @@
   }
 
   /* Loop over the number of taps. */
-  tapCnt = (uint32_t) numTaps - 1u;
+  tapCnt = (uint32_t) numTaps - 2u;
 
   while(tapCnt > 0u)
   {
@@ -242,6 +242,55 @@
     /* Decrement the tap loop counter */
     tapCnt--;
   }
+	
+	/* Compute last tap without the final read of pTapDelay */	
+	
+	/* Working pointer for state buffer is updated */
+	py = pState;
+
+	/* blockSize samples are read from the state buffer */
+	arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1, pb, pb,
+											(int32_t) blockSize, 1, blockSize);
+
+	/* Working pointer for the scratch buffer of state values */
+	px = pb;
+
+	/* Working pointer for scratch buffer of output values */
+	pScratchOut = pScr2;
+
+	/* Loop over the blockSize. Unroll by a factor of 4.    
+	 * Compute 4 MACS at a time. */
+	blkCnt = blockSize >> 2;
+
+	while(blkCnt > 0u)
+	{
+		/* Perform Multiply-Accumulate */
+		in = *pScratchOut + ((q31_t) * px++ * coeff);
+		*pScratchOut++ = in;
+		in = *pScratchOut + ((q31_t) * px++ * coeff);
+		*pScratchOut++ = in;
+		in = *pScratchOut + ((q31_t) * px++ * coeff);
+		*pScratchOut++ = in;
+		in = *pScratchOut + ((q31_t) * px++ * coeff);
+		*pScratchOut++ = in;
+
+		/* Decrement the loop counter */
+		blkCnt--;
+	}
+
+	/* If the blockSize is not a multiple of 4,    
+	 * compute the remaining samples */
+	blkCnt = blockSize % 0x4u;
+
+	while(blkCnt > 0u)
+	{
+		/* Perform Multiply-Accumulate */
+		in = *pScratchOut + ((q31_t) * px++ * coeff);
+		*pScratchOut++ = in;
+
+		/* Decrement the loop counter */
+		blkCnt--;
+	}
 
   /* All the output values are in pScratchOut buffer.    
      Convert them into 1.15 format, saturate and store in the destination buffer. */
@@ -333,7 +382,7 @@
   }
 
   /* Loop over the number of taps. */
-  tapCnt = (uint32_t) numTaps - 1u;
+  tapCnt = (uint32_t) numTaps - 2u;
 
   while(tapCnt > 0u)
   {
@@ -380,6 +429,34 @@
     /* Decrement the tap loop counter */
     tapCnt--;
   }
+	
+	/* Compute last tap without the final read of pTapDelay */	
+	
+	/* Working pointer for state buffer is updated */
+	py = pState;
+
+	/* blockSize samples are read from the state buffer */
+	arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1, pb, pb,
+											(int32_t) blockSize, 1, blockSize);
+
+	/* Working pointer for the scratch buffer of state values */
+	px = pb;
+
+	/* Working pointer for scratch buffer of output values */
+	pScratchOut = pScr2;
+
+	/* Loop over the blockSize */
+	blkCnt = blockSize;
+
+	while(blkCnt > 0u)
+	{
+		/* Perform Multiply-Accumulate */
+		in = *pScratchOut + ((q31_t) * px++ * coeff);
+		*pScratchOut++ = in;
+
+		/* Decrement the loop counter */
+		blkCnt--;
+	}
 
   /* All the output values are in pScratchOut buffer.       
      Convert them into 1.15 format, saturate and store in the destination buffer. */

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_iir_lattice_f32.c
--- a/cmsis_dsp/FilteringFunctions/arm_iir_lattice_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_iir_lattice_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_iir_lattice_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_iir_lattice_init_f32.c
--- a/cmsis_dsp/FilteringFunctions/arm_iir_lattice_init_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_iir_lattice_init_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:        arm_iir_lattice_init_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_iir_lattice_init_q15.c
--- a/cmsis_dsp/FilteringFunctions/arm_iir_lattice_init_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_iir_lattice_init_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:        arm_iir_lattice_init_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_iir_lattice_init_q31.c
--- a/cmsis_dsp/FilteringFunctions/arm_iir_lattice_init_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_iir_lattice_init_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:        arm_iir_lattice_init_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_iir_lattice_q15.c
--- a/cmsis_dsp/FilteringFunctions/arm_iir_lattice_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_iir_lattice_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_iir_lattice_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_iir_lattice_q31.c
--- a/cmsis_dsp/FilteringFunctions/arm_iir_lattice_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_iir_lattice_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_iir_lattice_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_lms_f32.c
--- a/cmsis_dsp/FilteringFunctions/arm_lms_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_lms_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_lms_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_lms_init_f32.c
--- a/cmsis_dsp/FilteringFunctions/arm_lms_init_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_lms_init_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:        arm_lms_init_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_lms_init_q15.c
--- a/cmsis_dsp/FilteringFunctions/arm_lms_init_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_lms_init_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:        arm_lms_init_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_lms_init_q31.c
--- a/cmsis_dsp/FilteringFunctions/arm_lms_init_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_lms_init_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:        arm_lms_init_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_lms_norm_f32.c
--- a/cmsis_dsp/FilteringFunctions/arm_lms_norm_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_lms_norm_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_lms_norm_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_lms_norm_init_f32.c
--- a/cmsis_dsp/FilteringFunctions/arm_lms_norm_init_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_lms_norm_init_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:        arm_lms_norm_init_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_lms_norm_init_q15.c
--- a/cmsis_dsp/FilteringFunctions/arm_lms_norm_init_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_lms_norm_init_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:        arm_lms_norm_init_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_lms_norm_init_q31.c
--- a/cmsis_dsp/FilteringFunctions/arm_lms_norm_init_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_lms_norm_init_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:        arm_lms_norm_init_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_lms_norm_q15.c
--- a/cmsis_dsp/FilteringFunctions/arm_lms_norm_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_lms_norm_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_lms_norm_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_lms_norm_q31.c
--- a/cmsis_dsp/FilteringFunctions/arm_lms_norm_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_lms_norm_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_lms_norm_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_lms_q15.c
--- a/cmsis_dsp/FilteringFunctions/arm_lms_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_lms_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_lms_q15.c    
@@ -90,6 +90,7 @@
   q63_t acc;                                     /* Accumulator */
   q15_t e = 0;                                   /* error of data sample */
   q15_t alpha;                                   /* Intermediate constant for taps update */
+  q31_t coef;                                    /* Teporary variable for coefficient */
   q31_t acc_l, acc_h;
   int32_t lShift = (15 - (int32_t) S->postShift);       /*  Post shift  */
   int32_t uShift = (32 - lShift);
@@ -99,7 +100,6 @@
 
   /* Run the below code for Cortex-M4 and Cortex-M3 */
 
-  q31_t coef;                                    /* Teporary variable for coefficient */
 
   /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
   /* pStateCurnt points to the location where the new input data should be written */
@@ -340,7 +340,8 @@
     while(tapCnt > 0u)
     {
       /* Perform the multiply-accumulate */
-      *pb++ += (q15_t) (((q31_t) alpha * (*px++)) >> 15);
+      coef = (q31_t) * pb + (((q31_t) alpha * (*px++)) >> 15);
+      *pb++ = (q15_t) __SSAT((coef), 16);
 
       /* Decrement the loop counter */
       tapCnt--;

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/FilteringFunctions/arm_lms_q31.c
--- a/cmsis_dsp/FilteringFunctions/arm_lms_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/FilteringFunctions/arm_lms_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_lms_q31.c    
@@ -330,7 +330,7 @@
     {
       /* Perform the multiply-accumulate */
       coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32));
-      *pb += (coef << 1u);
+      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
       pb++;
 
       /* Decrement the loop counter */

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/MatrixFunctions/arm_mat_add_f32.c
--- a/cmsis_dsp/MatrixFunctions/arm_mat_add_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/MatrixFunctions/arm_mat_add_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:        arm_mat_add_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/MatrixFunctions/arm_mat_add_q15.c
--- a/cmsis_dsp/MatrixFunctions/arm_mat_add_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/MatrixFunctions/arm_mat_add_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_mat_add_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/MatrixFunctions/arm_mat_add_q31.c
--- a/cmsis_dsp/MatrixFunctions/arm_mat_add_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/MatrixFunctions/arm_mat_add_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_mat_add_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/MatrixFunctions/arm_mat_cmplx_mult_f32.c
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/cmsis_dsp/MatrixFunctions/arm_mat_cmplx_mult_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -0,0 +1,283 @@
+/* ----------------------------------------------------------------------      
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved. 
+*      
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*      
+* Project:      CMSIS DSP Library 
+* Title:	    arm_mat_cmplx_mult_f32.c      
+*      
+* Description:  Floating-point matrix multiplication.      
+*      
+* Target Processor:          Cortex-M4/Cortex-M3/Cortex-M0
+*
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+#include "arm_math.h"
+
+/**      
+ * @ingroup groupMatrix      
+ */
+
+/**      
+ * @defgroup CmplxMatrixMult  Complex Matrix Multiplication     
+ *     
+ * Complex Matrix multiplication is only defined if the number of columns of the      
+ * first matrix equals the number of rows of the second matrix.      
+ * Multiplying an <code>M x N</code> matrix with an <code>N x P</code> matrix results      
+ * in an <code>M x P</code> matrix.      
+ * When matrix size checking is enabled, the functions check: (1) that the inner dimensions of      
+ * <code>pSrcA</code> and <code>pSrcB</code> are equal; and (2) that the size of the output      
+ * matrix equals the outer dimensions of <code>pSrcA</code> and <code>pSrcB</code>.      
+ */
+
+
+/**      
+ * @addtogroup CmplxMatrixMult      
+ * @{      
+ */
+
+/**      
+ * @brief Floating-point Complex matrix multiplication.      
+ * @param[in]       *pSrcA points to the first input complex matrix structure      
+ * @param[in]       *pSrcB points to the second input complex matrix structure      
+ * @param[out]      *pDst points to output complex matrix structure      
+ * @return     		The function returns either      
+ * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.      
+ */
+
+arm_status arm_mat_cmplx_mult_f32(
+  const arm_matrix_instance_f32 * pSrcA,
+  const arm_matrix_instance_f32 * pSrcB,
+  arm_matrix_instance_f32 * pDst)
+{
+  float32_t *pIn1 = pSrcA->pData;                /* input data matrix pointer A */
+  float32_t *pIn2 = pSrcB->pData;                /* input data matrix pointer B */
+  float32_t *pInA = pSrcA->pData;                /* input data matrix pointer A  */
+  float32_t *pOut = pDst->pData;                 /* output data matrix pointer */
+  float32_t *px;                                 /* Temporary output data matrix pointer */
+  uint16_t numRowsA = pSrcA->numRows;            /* number of rows of input matrix A */
+  uint16_t numColsB = pSrcB->numCols;            /* number of columns of input matrix B */
+  uint16_t numColsA = pSrcA->numCols;            /* number of columns of input matrix A */
+  float32_t sumReal1, sumImag1;                  /* accumulator */
+  float32_t a0, b0, c0, d0;
+  float32_t a1, b1, c1, d1;
+  float32_t sumReal2, sumImag2;                  /* accumulator */
+
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  uint16_t col, i = 0u, j, row = numRowsA, colCnt;      /* loop counters */
+  arm_status status;                             /* status of matrix multiplication */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+
+  /* Check for matrix mismatch condition */
+  if((pSrcA->numCols != pSrcB->numRows) ||
+     (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
+  {
+
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif /*      #ifdef ARM_MATH_MATRIX_CHECK    */
+
+  {
+    /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+    /* row loop */
+    do
+    {
+      /* Output pointer is set to starting address of the row being processed */
+      px = pOut + 2 * i;
+
+      /* For every row wise process, the column loop counter is to be initiated */
+      col = numColsB;
+
+      /* For every row wise process, the pIn2 pointer is set      
+       ** to the starting address of the pSrcB data */
+      pIn2 = pSrcB->pData;
+
+      j = 0u;
+
+      /* column loop */
+      do
+      {
+        /* Set the variable sum, that acts as accumulator, to zero */
+        sumReal1 = 0.0f;
+        sumImag1 = 0.0f;
+
+        sumReal2 = 0.0f;
+        sumImag2 = 0.0f;
+
+        /* Initiate the pointer pIn1 to point to the starting address of the column being processed */
+        pIn1 = pInA;
+
+        /* Apply loop unrolling and compute 4 MACs simultaneously. */
+        colCnt = numColsA >> 2;
+
+        /* matrix multiplication        */
+        while(colCnt > 0u)
+        {
+
+          /* Reading real part of complex matrix A */
+          a0 = *pIn1;
+
+          /* Reading real part of complex matrix B */
+          c0 = *pIn2;
+
+          /* Reading imaginary part of complex matrix A */
+          b0 = *(pIn1 + 1u);
+
+          /* Reading imaginary part of complex matrix B */
+          d0 = *(pIn2 + 1u);
+
+          sumReal1 += a0 * c0;
+          sumImag1 += b0 * c0;
+
+          pIn1 += 2u;
+          pIn2 += 2 * numColsB;
+
+          sumReal2 -= b0 * d0;
+          sumImag2 += a0 * d0;
+
+          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
+
+          a1 = *pIn1;
+          c1 = *pIn2;
+
+          b1 = *(pIn1 + 1u);
+          d1 = *(pIn2 + 1u);
+
+          sumReal1 += a1 * c1;
+          sumImag1 += b1 * c1;
+
+          pIn1 += 2u;
+          pIn2 += 2 * numColsB;
+
+          sumReal2 -= b1 * d1;
+          sumImag2 += a1 * d1;
+
+          a0 = *pIn1;
+          c0 = *pIn2;
+
+          b0 = *(pIn1 + 1u);
+          d0 = *(pIn2 + 1u);
+
+          sumReal1 += a0 * c0;
+          sumImag1 += b0 * c0;
+
+          pIn1 += 2u;
+          pIn2 += 2 * numColsB;
+
+          sumReal2 -= b0 * d0;
+          sumImag2 += a0 * d0;
+
+          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
+
+          a1 = *pIn1;
+          c1 = *pIn2;
+
+          b1 = *(pIn1 + 1u);
+          d1 = *(pIn2 + 1u);
+
+          sumReal1 += a1 * c1;
+          sumImag1 += b1 * c1;
+
+          pIn1 += 2u;
+          pIn2 += 2 * numColsB;
+
+          sumReal2 -= b1 * d1;
+          sumImag2 += a1 * d1;
+
+          /* Decrement the loop count */
+          colCnt--;
+        }
+
+        /* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here.      
+         ** No loop unrolling is used. */
+        colCnt = numColsA % 0x4u;
+
+        while(colCnt > 0u)
+        {
+          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
+          a1 = *pIn1;
+          c1 = *pIn2;
+
+          b1 = *(pIn1 + 1u);
+          d1 = *(pIn2 + 1u);
+
+          sumReal1 += a1 * c1;
+          sumImag1 += b1 * c1;
+
+          pIn1 += 2u;
+          pIn2 += 2 * numColsB;
+
+          sumReal2 -= b1 * d1;
+          sumImag2 += a1 * d1;
+
+          /* Decrement the loop counter */
+          colCnt--;
+        }
+
+        sumReal1 += sumReal2;
+        sumImag1 += sumImag2;
+
+        /* Store the result in the destination buffer */
+        *px++ = sumReal1;
+        *px++ = sumImag1;
+
+        /* Update the pointer pIn2 to point to the  starting address of the next column */
+        j++;
+        pIn2 = pSrcB->pData + 2u * j;
+
+        /* Decrement the column loop counter */
+        col--;
+
+      } while(col > 0u);
+
+      /* Update the pointer pInA to point to the  starting address of the next row */
+      i = i + numColsB;
+      pInA = pInA + 2 * numColsA;
+
+      /* Decrement the row loop counter */
+      row--;
+
+    } while(row > 0u);
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+/**      
+ * @} end of MatrixMult group      
+ */

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/MatrixFunctions/arm_mat_cmplx_mult_q15.c
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/cmsis_dsp/MatrixFunctions/arm_mat_cmplx_mult_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -0,0 +1,424 @@
+/* ----------------------------------------------------------------------      
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved. 
+*      
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*      
+* Project:      CMSIS DSP Library 
+* Title:	    arm_cmplx_mat_mult_q15.c      
+*      
+* Description:	 Q15 complex matrix multiplication.      
+*      
+* Target Processor:          Cortex-M4/Cortex-M3/Cortex-M0
+*
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+#include "arm_math.h"
+
+/**      
+ * @ingroup groupMatrix      
+ */
+
+/**      
+ * @addtogroup CmplxMatrixMult      
+ * @{      
+ */
+
+
+/**      
+ * @brief Q15 Complex matrix multiplication      
+ * @param[in]       *pSrcA points to the first input complex matrix structure      
+ * @param[in]       *pSrcB points to the second input complex matrix structure      
+ * @param[out]      *pDst points to output complex matrix structure      
+ * @param[in]		*pScratch points to the array for storing intermediate results     
+ * @return     		The function returns either      
+ * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.         
+ *  
+ * \par Conditions for optimum performance  
+ *  Input, output and state buffers should be aligned by 32-bit  
+ *  
+ * \par Restrictions  
+ *  If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE  
+ *	In this case input, output, scratch buffers should be aligned by 32-bit  
+ *  
+ * @details      
+ * <b>Scaling and Overflow Behavior:</b>      
+ *      
+ * \par      
+ * The function is implemented using a 64-bit internal accumulator. The inputs to the      
+ * multiplications are in 1.15 format and multiplications yield a 2.30 result.      
+ * The 2.30 intermediate      
+ * results are accumulated in a 64-bit accumulator in 34.30 format. This approach      
+ * provides 33 guard bits and there is no risk of overflow. The 34.30 result is then      
+ * truncated to 34.15 format by discarding the low 15 bits and then saturated to      
+ * 1.15 format.      
+ *      
+ * \par      
+ * Refer to <code>arm_mat_mult_fast_q15()</code> for a faster but less precise version of this function.      
+ *      
+ */
+
+
+
+
+arm_status arm_mat_cmplx_mult_q15(
+  const arm_matrix_instance_q15 * pSrcA,
+  const arm_matrix_instance_q15 * pSrcB,
+  arm_matrix_instance_q15 * pDst,
+  q15_t * pScratch)
+{
+  /* accumulator */
+  q15_t *pSrcBT = pScratch;                      /* input data matrix pointer for transpose */
+  q15_t *pInA = pSrcA->pData;                    /* input data matrix pointer A of Q15 type */
+  q15_t *pInB = pSrcB->pData;                    /* input data matrix pointer B of Q15 type */
+  q15_t *px;                                     /* Temporary output data matrix pointer */
+  uint16_t numRowsA = pSrcA->numRows;            /* number of rows of input matrix A    */
+  uint16_t numColsB = pSrcB->numCols;            /* number of columns of input matrix B */
+  uint16_t numColsA = pSrcA->numCols;            /* number of columns of input matrix A */
+  uint16_t numRowsB = pSrcB->numRows;            /* number of rows of input matrix A    */
+  uint16_t col, i = 0u, row = numRowsB, colCnt;  /* loop counters */
+  arm_status status;                             /* status of matrix multiplication */
+  q63_t sumReal, sumImag;
+
+#ifdef UNALIGNED_SUPPORT_DISABLE
+  q15_t in;                                      /* Temporary variable to hold the input value */
+  q15_t a, b, c, d;
+#else
+  q31_t in;                                      /* Temporary variable to hold the input value */
+  q31_t prod1, prod2;
+  q31_t pSourceA, pSourceB;
+#endif
+
+#ifdef ARM_MATH_MATRIX_CHECK
+  /* Check for matrix mismatch condition */
+  if((pSrcA->numCols != pSrcB->numRows) ||
+     (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif
+  {
+    /* Matrix transpose */
+    do
+    {
+      /* Apply loop unrolling and exchange the columns with row elements */
+      col = numColsB >> 2;
+
+      /* The pointer px is set to starting address of the column being processed */
+      px = pSrcBT + i;
+
+      /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.      
+       ** a second loop below computes the remaining 1 to 3 samples. */
+      while(col > 0u)
+      {
+#ifdef UNALIGNED_SUPPORT_DISABLE
+        /* Read two elements from the row */
+        in = *pInB++;
+        *px = in;
+        in = *pInB++;
+        px[1] = in;
+
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += numRowsB * 2;
+
+        /* Read two elements from the row */
+        in = *pInB++;
+        *px = in;
+        in = *pInB++;
+        px[1] = in;
+
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += numRowsB * 2;
+
+        /* Read two elements from the row */
+        in = *pInB++;
+        *px = in;
+        in = *pInB++;
+        px[1] = in;
+
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += numRowsB * 2;
+
+        /* Read two elements from the row */
+        in = *pInB++;
+        *px = in;
+        in = *pInB++;
+        px[1] = in;
+
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += numRowsB * 2;
+
+        /* Decrement the column loop counter */
+        col--;
+      }
+
+      /* If the columns of pSrcB is not a multiple of 4, compute any remaining output samples here.      
+       ** No loop unrolling is used. */
+      col = numColsB % 0x4u;
+
+      while(col > 0u)
+      {
+        /* Read two elements from the row */
+        in = *pInB++;
+        *px = in;
+        in = *pInB++;
+        px[1] = in;
+#else
+
+        /* Read two elements from the row */
+        in = *__SIMD32(pInB)++;
+
+        *__SIMD32(px) = in;
+
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += numRowsB * 2;
+
+
+        /* Read two elements from the row */
+        in = *__SIMD32(pInB)++;
+
+        *__SIMD32(px) = in;
+
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += numRowsB * 2;
+
+        /* Read two elements from the row */
+        in = *__SIMD32(pInB)++;
+
+        *__SIMD32(px) = in;
+
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += numRowsB * 2;
+
+        /* Read two elements from the row */
+        in = *__SIMD32(pInB)++;
+
+        *__SIMD32(px) = in;
+
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += numRowsB * 2;
+
+        /* Decrement the column loop counter */
+        col--;
+      }
+
+      /* If the columns of pSrcB is not a multiple of 4, compute any remaining output samples here.      
+       ** No loop unrolling is used. */
+      col = numColsB % 0x4u;
+
+      while(col > 0u)
+      {
+        /* Read two elements from the row */
+        in = *__SIMD32(pInB)++;
+
+        *__SIMD32(px) = in;
+#endif
+
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += numRowsB * 2;
+
+        /* Decrement the column loop counter */
+        col--;
+      }
+
+      i = i + 2u;
+
+      /* Decrement the row loop counter */
+      row--;
+
+    } while(row > 0u);
+
+    /* Reset the variables for the usage in the following multiplication process */
+    row = numRowsA;
+    i = 0u;
+    px = pDst->pData;
+
+    /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+    /* row loop */
+    do
+    {
+      /* For every row wise process, the column loop counter is to be initiated */
+      col = numColsB;
+
+      /* For every row wise process, the pIn2 pointer is set      
+       ** to the starting address of the transposed pSrcB data */
+      pInB = pSrcBT;
+
+      /* column loop */
+      do
+      {
+        /* Set the variable sum, that acts as accumulator, to zero */
+        sumReal = 0;
+        sumImag = 0;
+
+        /* Apply loop unrolling and compute 2 MACs simultaneously. */
+        colCnt = numColsA >> 1;
+
+        /* Initiate the pointer pIn1 to point to the starting address of the column being processed */
+        pInA = pSrcA->pData + i * 2;
+
+
+        /* matrix multiplication */
+        while(colCnt > 0u)
+        {
+          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
+
+#ifdef UNALIGNED_SUPPORT_DISABLE
+
+          /* read real and imag values from pSrcA buffer */
+          a = *pInA;
+          b = *(pInA + 1u);
+          /* read real and imag values from pSrcB buffer */
+          c = *pInB;
+          d = *(pInB + 1u);
+
+          /* Multiply and Accumlates */
+          sumReal += (q31_t) a *c;
+          sumImag += (q31_t) a *d;
+          sumReal -= (q31_t) b *d;
+          sumImag += (q31_t) b *c;
+
+          /* read next real and imag values from pSrcA buffer */
+          a = *(pInA + 2u);
+          b = *(pInA + 3u);
+          /* read next real and imag values from pSrcB buffer */
+          c = *(pInB + 2u);
+          d = *(pInB + 3u);
+
+          /* update pointer */
+          pInA += 4u;
+
+          /* Multiply and Accumlates */
+          sumReal += (q31_t) a *c;
+          sumImag += (q31_t) a *d;
+          sumReal -= (q31_t) b *d;
+          sumImag += (q31_t) b *c;
+          /* update pointer */
+          pInB += 4u;
+#else
+          /* read real and imag values from pSrcA and pSrcB buffer */
+          pSourceA = *__SIMD32(pInA)++;
+          pSourceB = *__SIMD32(pInB)++;
+
+          /* Multiply and Accumlates */
+#ifdef ARM_MATH_BIG_ENDIAN
+          prod1 = -__SMUSD(pSourceA, pSourceB);
+#else
+          prod1 = __SMUSD(pSourceA, pSourceB);
+#endif
+          prod2 = __SMUADX(pSourceA, pSourceB);
+          sumReal += (q63_t) prod1;
+          sumImag += (q63_t) prod2;
+
+          /* read real and imag values from pSrcA and pSrcB buffer */
+          pSourceA = *__SIMD32(pInA)++;
+          pSourceB = *__SIMD32(pInB)++;
+
+          /* Multiply and Accumlates */
+#ifdef ARM_MATH_BIG_ENDIAN
+          prod1 = -__SMUSD(pSourceA, pSourceB);
+#else
+          prod1 = __SMUSD(pSourceA, pSourceB);
+#endif
+          prod2 = __SMUADX(pSourceA, pSourceB);
+          sumReal += (q63_t) prod1;
+          sumImag += (q63_t) prod2;
+
+#endif /*      #ifdef UNALIGNED_SUPPORT_DISABLE */
+
+          /* Decrement the loop counter */
+          colCnt--;
+        }
+
+        /* process odd column samples */
+        if((numColsA & 0x1u) > 0u)
+        {
+          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
+
+#ifdef UNALIGNED_SUPPORT_DISABLE
+
+          /* read real and imag values from pSrcA and pSrcB buffer */
+          a = *pInA++;
+          b = *pInA++;
+          c = *pInB++;
+          d = *pInB++;
+
+          /* Multiply and Accumlates */
+          sumReal += (q31_t) a *c;
+          sumImag += (q31_t) a *d;
+          sumReal -= (q31_t) b *d;
+          sumImag += (q31_t) b *c;
+
+#else
+          /* read real and imag values from pSrcA and pSrcB buffer */
+          pSourceA = *__SIMD32(pInA)++;
+          pSourceB = *__SIMD32(pInB)++;
+
+          /* Multiply and Accumlates */
+#ifdef ARM_MATH_BIG_ENDIAN
+          prod1 = -__SMUSD(pSourceA, pSourceB);
+#else
+          prod1 = __SMUSD(pSourceA, pSourceB);
+#endif
+          prod2 = __SMUADX(pSourceA, pSourceB);
+          sumReal += (q63_t) prod1;
+          sumImag += (q63_t) prod2;
+
+#endif /*      #ifdef UNALIGNED_SUPPORT_DISABLE */
+
+        }
+
+        /* Saturate and store the result in the destination buffer */
+
+        *px++ = (q15_t) (__SSAT(sumReal >> 15, 16));
+        *px++ = (q15_t) (__SSAT(sumImag >> 15, 16));
+
+        /* Decrement the column loop counter */
+        col--;
+
+      } while(col > 0u);
+
+      i = i + numColsA;
+
+      /* Decrement the row loop counter */
+      row--;
+
+    } while(row > 0u);
+
+    /* set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+/**      
+ * @} end of MatrixMult group      
+ */

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/MatrixFunctions/arm_mat_cmplx_mult_q31.c
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/cmsis_dsp/MatrixFunctions/arm_mat_cmplx_mult_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -0,0 +1,293 @@
+/* ----------------------------------------------------------------------      
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved. 
+*      
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*      
+* Project:      CMSIS DSP Library 
+* Title:	    arm_mat_cmplx_mult_q31.c      
+*      
+* Description:  Floating-point matrix multiplication.      
+*      
+* Target Processor:          Cortex-M4/Cortex-M3/Cortex-M0
+*
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.     
+* -------------------------------------------------------------------- */
+#include "arm_math.h"
+
+/**     
+ * @ingroup groupMatrix     
+ */
+
+/**      
+ * @addtogroup CmplxMatrixMult      
+ * @{      
+ */
+
+/**      
+ * @brief Q31 Complex matrix multiplication      
+ * @param[in]       *pSrcA points to the first input complex matrix structure      
+ * @param[in]       *pSrcB points to the second input complex matrix structure      
+ * @param[out]      *pDst points to output complex matrix structure      
+ * @return     		The function returns either      
+ * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.      
+ *      
+ * @details      
+ * <b>Scaling and Overflow Behavior:</b>      
+ *      
+ * \par      
+ * The function is implemented using an internal 64-bit accumulator.      
+ * The accumulator has a 2.62 format and maintains full precision of the intermediate      
+ * multiplication results but provides only a single guard bit. There is no saturation      
+ * on intermediate additions. Thus, if the accumulator overflows it wraps around and      
+ * distorts the result. The input signals should be scaled down to avoid intermediate      
+ * overflows. The input is thus scaled down by log2(numColsA) bits      
+ * to avoid overflows, as a total of numColsA additions are performed internally.      
+ * The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result.      
+ *      
+ *      
+ */
+
+arm_status arm_mat_cmplx_mult_q31(
+  const arm_matrix_instance_q31 * pSrcA,
+  const arm_matrix_instance_q31 * pSrcB,
+  arm_matrix_instance_q31 * pDst)
+{
+  q31_t *pIn1 = pSrcA->pData;                    /* input data matrix pointer A */
+  q31_t *pIn2 = pSrcB->pData;                    /* input data matrix pointer B */
+  q31_t *pInA = pSrcA->pData;                    /* input data matrix pointer A  */
+  q31_t *pOut = pDst->pData;                     /* output data matrix pointer */
+  q31_t *px;                                     /* Temporary output data matrix pointer */
+  uint16_t numRowsA = pSrcA->numRows;            /* number of rows of input matrix A */
+  uint16_t numColsB = pSrcB->numCols;            /* number of columns of input matrix B */
+  uint16_t numColsA = pSrcA->numCols;            /* number of columns of input matrix A */
+  q63_t sumReal1, sumImag1;                      /* accumulator */
+  q31_t a0, b0, c0, d0;
+  q31_t a1, b1, c1, d1;
+
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  uint16_t col, i = 0u, j, row = numRowsA, colCnt;      /* loop counters */
+  arm_status status;                             /* status of matrix multiplication */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+
+  /* Check for matrix mismatch condition */
+  if((pSrcA->numCols != pSrcB->numRows) ||
+     (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
+  {
+
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif /*      #ifdef ARM_MATH_MATRIX_CHECK    */
+
+  {
+    /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+    /* row loop */
+    do
+    {
+      /* Output pointer is set to starting address of the row being processed */
+      px = pOut + 2 * i;
+
+      /* For every row wise process, the column loop counter is to be initiated */
+      col = numColsB;
+
+      /* For every row wise process, the pIn2 pointer is set     
+       ** to the starting address of the pSrcB data */
+      pIn2 = pSrcB->pData;
+
+      j = 0u;
+
+      /* column loop */
+      do
+      {
+        /* Set the variable sum, that acts as accumulator, to zero */
+        sumReal1 = 0.0;
+        sumImag1 = 0.0;
+
+        /* Initiate the pointer pIn1 to point to the starting address of the column being processed */
+        pIn1 = pInA;
+
+        /* Apply loop unrolling and compute 4 MACs simultaneously. */
+        colCnt = numColsA >> 2;
+
+        /* matrix multiplication        */
+        while(colCnt > 0u)
+        {
+
+          /* Reading real part of complex matrix A */
+          a0 = *pIn1;
+
+          /* Reading real part of complex matrix B */
+          c0 = *pIn2;
+
+          /* Reading imaginary part of complex matrix A */
+          b0 = *(pIn1 + 1u);
+
+          /* Reading imaginary part of complex matrix B */
+          d0 = *(pIn2 + 1u);
+
+          /* Multiply and Accumlates */
+          sumReal1 += (q63_t) a0 *c0;
+          sumImag1 += (q63_t) b0 *c0;
+
+          /* update pointers */
+          pIn1 += 2u;
+          pIn2 += 2 * numColsB;
+
+          /* Multiply and Accumlates */
+          sumReal1 -= (q63_t) b0 *d0;
+          sumImag1 += (q63_t) a0 *d0;
+
+          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
+
+          /* read real and imag values from pSrcA and pSrcB buffer */
+          a1 = *pIn1;
+          c1 = *pIn2;
+          b1 = *(pIn1 + 1u);
+          d1 = *(pIn2 + 1u);
+
+          /* Multiply and Accumlates */
+          sumReal1 += (q63_t) a1 *c1;
+          sumImag1 += (q63_t) b1 *c1;
+
+          /* update pointers */
+          pIn1 += 2u;
+          pIn2 += 2 * numColsB;
+
+          /* Multiply and Accumlates */
+          sumReal1 -= (q63_t) b1 *d1;
+          sumImag1 += (q63_t) a1 *d1;
+
+          a0 = *pIn1;
+          c0 = *pIn2;
+
+          b0 = *(pIn1 + 1u);
+          d0 = *(pIn2 + 1u);
+
+          /* Multiply and Accumlates */
+          sumReal1 += (q63_t) a0 *c0;
+          sumImag1 += (q63_t) b0 *c0;
+
+          /* update pointers */
+          pIn1 += 2u;
+          pIn2 += 2 * numColsB;
+
+          /* Multiply and Accumlates */
+          sumReal1 -= (q63_t) b0 *d0;
+          sumImag1 += (q63_t) a0 *d0;
+
+          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
+
+          a1 = *pIn1;
+          c1 = *pIn2;
+
+          b1 = *(pIn1 + 1u);
+          d1 = *(pIn2 + 1u);
+
+          /* Multiply and Accumlates */
+          sumReal1 += (q63_t) a1 *c1;
+          sumImag1 += (q63_t) b1 *c1;
+
+          /* update pointers */
+          pIn1 += 2u;
+          pIn2 += 2 * numColsB;
+
+          /* Multiply and Accumlates */
+          sumReal1 -= (q63_t) b1 *d1;
+          sumImag1 += (q63_t) a1 *d1;
+
+          /* Decrement the loop count */
+          colCnt--;
+        }
+
+        /* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here.     
+         ** No loop unrolling is used. */
+        colCnt = numColsA % 0x4u;
+
+        while(colCnt > 0u)
+        {
+          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
+          a1 = *pIn1;
+          c1 = *pIn2;
+
+          b1 = *(pIn1 + 1u);
+          d1 = *(pIn2 + 1u);
+
+          /* Multiply and Accumlates */
+          sumReal1 += (q63_t) a1 *c1;
+          sumImag1 += (q63_t) b1 *c1;
+
+          /* update pointers */
+          pIn1 += 2u;
+          pIn2 += 2 * numColsB;
+
+          /* Multiply and Accumlates */
+          sumReal1 -= (q63_t) b1 *d1;
+          sumImag1 += (q63_t) a1 *d1;
+
+          /* Decrement the loop counter */
+          colCnt--;
+        }
+
+        /* Store the result in the destination buffer */
+        *px++ = (q31_t) clip_q63_to_q31(sumReal1 >> 31);
+        *px++ = (q31_t) clip_q63_to_q31(sumImag1 >> 31);
+        
+        /* Update the pointer pIn2 to point to the  starting address of the next column */
+        j++;
+        pIn2 = pSrcB->pData + 2u * j;
+
+        /* Decrement the column loop counter */
+        col--;
+
+      } while(col > 0u);
+
+      /* Update the pointer pInA to point to the  starting address of the next row */
+      i = i + numColsB;
+      pInA = pInA + 2 * numColsA;
+
+      /* Decrement the row loop counter */
+      row--;
+
+    } while(row > 0u);
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+/**     
+ * @} end of MatrixMult group     
+ */

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/MatrixFunctions/arm_mat_init_f32.c
--- a/cmsis_dsp/MatrixFunctions/arm_mat_init_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/MatrixFunctions/arm_mat_init_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:        arm_mat_init_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/MatrixFunctions/arm_mat_init_q15.c
--- a/cmsis_dsp/MatrixFunctions/arm_mat_init_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/MatrixFunctions/arm_mat_init_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:        arm_mat_init_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/MatrixFunctions/arm_mat_init_q31.c
--- a/cmsis_dsp/MatrixFunctions/arm_mat_init_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/MatrixFunctions/arm_mat_init_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:        arm_mat_init_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/MatrixFunctions/arm_mat_inverse_f32.c
--- a/cmsis_dsp/MatrixFunctions/arm_mat_inverse_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/MatrixFunctions/arm_mat_inverse_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        1. March 2013 
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_mat_inverse_f32.c    
@@ -58,7 +58,7 @@
  *    
  * \par Algorithm    
  * The Gauss-Jordan method is used to find the inverse.    
- * The algorithm performs a sequence of elementary row-operations till it    
+ * The algorithm performs a sequence of elementary row-operations until it    
  * reduces the input matrix to an identity matrix. Applying the same sequence    
  * of elementary row-operations to an identity matrix yields the inverse matrix.    
  * If the input matrix is singular, then the algorithm terminates and returns error status    
@@ -89,7 +89,7 @@
   float32_t *pIn = pSrc->pData;                  /* input data matrix pointer */
   float32_t *pOut = pDst->pData;                 /* output data matrix pointer */
   float32_t *pInT1, *pInT2;                      /* Temporary input data matrix pointer */
-  float32_t *pInT3, *pInT4;                      /* Temporary output data matrix pointer */
+  float32_t *pOutT1, *pOutT2;                    /* Temporary output data matrix pointer */
   float32_t *pPivotRowIn, *pPRT_in, *pPivotRowDst, *pPRT_pDst;  /* Temporary input and output data matrix pointer */
   uint32_t numRows = pSrc->numRows;              /* Number of rows in the matrix  */
   uint32_t numCols = pSrc->numCols;              /* Number of Cols in the matrix  */
@@ -137,10 +137,10 @@
 	 *	    4. Check to see if the pivot for column i is the greatest of the column.    
 	 *		   The pivot is the element of the main diagonal that is on the current row.    
 	 *		   For instance, if working with row i, then the pivot element is aii.    
-	 *		   If the pivot is not the most significant of the coluimns, exchange that row with a row
+	 *		   If the pivot is not the most significant of the columns, exchange that row with a row
 	 *		   below it that does contain the most significant value in column i. If the most
 	 *         significant value of the column is zero, then an inverse to that matrix does not exist.
-	 *		   The most significant value of the column is the absolut maximum.
+	 *		   The most significant value of the column is the absolute maximum.
 	 *    
 	 *	    5. Divide every element of row i by the pivot.    
 	 *    
@@ -155,7 +155,7 @@
 	 *----------------------------------------------------------------------------------------------------------------*/
 
     /* Working pointer for destination matrix */
-    pInT2 = pOut;
+    pOutT1 = pOut;
 
     /* Loop over the number of rows */
     rowCnt = numRows;
@@ -167,18 +167,18 @@
       j = numRows - rowCnt;
       while(j > 0u)
       {
-        *pInT2++ = 0.0f;
+        *pOutT1++ = 0.0f;
         j--;
       }
 
       /* Writing all ones in the diagonal of the destination matrix */
-      *pInT2++ = 1.0f;
+      *pOutT1++ = 1.0f;
 
       /* Writing all zeroes in upper triangle of the destination matrix */
       j = rowCnt - 1u;
       while(j > 0u)
       {
-        *pInT2++ = 0.0f;
+        *pOutT1++ = 0.0f;
         j--;
       }
 
@@ -206,17 +206,14 @@
 
       /* Working pointer for the destination matrix that points    
        * to the pivot element of the particular row  */
-      pInT3 = pOut + (l * numCols);
+      pOutT1 = pOut + (l * numCols);
 
       /* Temporary variable to hold the pivot value */
       in = *pInT1;
 
-      /* Destination pointer modifier */
-      k = 1u;
-
-     /* Grab the most significant value from column l */
+      /* Grab the most significant value from column l */
       maxC = 0;
-      for (i = 0; i < numRows; i++)
+      for (i = l; i < numRows; i++)
       {
         maxC = *pInT1 > 0 ? (*pInT1 > maxC ? *pInT1 : maxC) : (-*pInT1 > maxC ? -*pInT1 : maxC);
         pInT1 += numCols;
@@ -225,12 +222,14 @@
       /* Update the status if the matrix is singular */
       if(maxC == 0.0f)
       {
-        status = ARM_MATH_SINGULAR;
-        break;
+        return ARM_MATH_SINGULAR;
       }
 
       /* Restore pInT1  */
-      pInT1 -= numRows * numCols;
+      pInT1 = pIn;
+
+      /* Destination pointer modifier */
+      k = 1u;
       
       /* Check if the pivot element is the most significant of the column */
       if( (in > 0.0f ? in : -in) != maxC)
@@ -242,7 +241,7 @@
         {
           /* Update the input and destination pointers */
           pInT2 = pInT1 + (numCols * l);
-          pInT4 = pInT3 + (numCols * k);
+          pOutT2 = pOutT1 + (numCols * k);
 
           /* Look for the most significant element to    
            * replace in the rows below */
@@ -269,9 +268,9 @@
             while(j > 0u)
             {
               /* Exchange the row elements of the destination matrix */
-              Xchg = *pInT4;
-              *pInT4++ = *pInT3;
-              *pInT3++ = Xchg;
+              Xchg = *pOutT2;
+              *pOutT2++ = *pOutT1;
+              *pOutT1++ = Xchg;
 
               /* Decrement the loop counter */
               j--;
@@ -295,9 +294,7 @@
       /* Update the status if the matrix is singular */
       if((flag != 1u) && (in == 0.0f))
       {
-        status = ARM_MATH_SINGULAR;
-
-        break;
+        return ARM_MATH_SINGULAR;
       }
 
       /* Points to the pivot row of input and destination matrices */
@@ -484,7 +481,7 @@
 	 *----------------------------------------------------------------------------------------------------------------*/
 
     /* Working pointer for destination matrix */
-    pInT2 = pOut;
+    pOutT1 = pOut;
 
     /* Loop over the number of rows */
     rowCnt = numRows;
@@ -496,18 +493,18 @@
       j = numRows - rowCnt;
       while(j > 0u)
       {
-        *pInT2++ = 0.0f;
+        *pOutT1++ = 0.0f;
         j--;
       }
 
       /* Writing all ones in the diagonal of the destination matrix */
-      *pInT2++ = 1.0f;
+      *pOutT1++ = 1.0f;
 
       /* Writing all zeroes in upper triangle of the destination matrix */
       j = rowCnt - 1u;
       while(j > 0u)
       {
-        *pInT2++ = 0.0f;
+        *pOutT1++ = 0.0f;
         j--;
       }
 
@@ -535,7 +532,7 @@
 
       /* Working pointer for the destination matrix that points     
        * to the pivot element of the particular row  */
-      pInT3 = pOut + (l * numCols);
+      pOutT1 = pOut + (l * numCols);
 
       /* Temporary variable to hold the pivot value */
       in = *pInT1;
@@ -551,7 +548,7 @@
         {
           /* Update the input and destination pointers */
           pInT2 = pInT1 + (numCols * l);
-          pInT4 = pInT3 + (numCols * k);
+          pOutT2 = pOutT1 + (numCols * k);
 
           /* Check if there is a non zero pivot element to     
            * replace in the rows below */
@@ -569,9 +566,9 @@
 
             for (j = 0u; j < numCols; j++)
             {
-              Xchg = *pInT4;
-              *pInT4++ = *pInT3;
-              *pInT3++ = Xchg;
+              Xchg = *pOutT2;
+              *pOutT2++ = *pOutT1;
+              *pOutT1++ = Xchg;
             }
 
             /* Flag to indicate whether exchange is done or not */
@@ -589,9 +586,7 @@
       /* Update the status if the matrix is singular */
       if((flag != 1u) && (in == 0.0f))
       {
-        status = ARM_MATH_SINGULAR;
-
-        break;
+        return ARM_MATH_SINGULAR;
       }
 
       /* Points to the pivot row of input and destination matrices */
@@ -600,7 +595,7 @@
 
       /* Temporary pointers to the pivot row pointers */
       pInT1 = pPivotRowIn;
-      pInT2 = pPivotRowDst;
+      pOutT1 = pPivotRowDst;
 
       /* Pivot element of the row */
       in = *(pIn + (l * numCols));
@@ -618,8 +613,8 @@
       {
         /* Divide each element of the row of the destination matrix     
          * by the pivot element */
-        *pInT2 = *pInT2 / in;
-        pInT2++;
+        *pOutT1 = *pOutT1 / in;
+        pOutT1++;
       }
 
       /* Replace the rows with the sum of that row and a multiple of row i     
@@ -627,7 +622,7 @@
 
       /* Temporary pointers for input and destination matrices */
       pInT1 = pIn;
-      pInT2 = pOut;
+      pOutT1 = pOut;
 
       for (i = 0u; i < numRows; i++)
       {
@@ -637,7 +632,7 @@
           /* If the processing element is the pivot element,     
              only the columns to the right are to be processed */
           pInT1 += numCols - l;
-          pInT2 += numCols;
+          pOutT1 += numCols;
         }
         else
         {
@@ -663,8 +658,8 @@
           {
             /* Replace the element by the sum of that row     
                and a multiple of the reference row  */
-            *pInT2 = *pInT2 - (in * *pPRT_pDst++);
-            pInT2++;
+            *pOutT1 = *pOutT1 - (in * *pPRT_pDst++);
+            pOutT1++;
           }
 
         }
@@ -688,7 +683,15 @@
 
     if((flag != 1u) && (in == 0.0f))
     {
-      status = ARM_MATH_SINGULAR;
+      pIn = pSrc->pData;
+      for (i = 0; i < numRows * numCols; i++)
+      {
+        if (pIn[i] != 0.0f)
+            break;
+      }
+      
+      if (i == numRows * numCols)
+        status = ARM_MATH_SINGULAR;
     }
   }
   /* Return to application */

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/MatrixFunctions/arm_mat_inverse_f64.c
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/cmsis_dsp/MatrixFunctions/arm_mat_inverse_f64.c	Fri Nov 20 08:45:18 2015 +0000
@@ -0,0 +1,703 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_mat_inverse_f64.c    
+*    
+* Description:	Floating-point matrix inverse.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupMatrix    
+ */
+
+/**    
+ * @defgroup MatrixInv Matrix Inverse    
+ *    
+ * Computes the inverse of a matrix.    
+ *    
+ * The inverse is defined only if the input matrix is square and non-singular (the determinant    
+ * is non-zero). The function checks that the input and output matrices are square and of the    
+ * same size.    
+ *    
+ * Matrix inversion is numerically sensitive and the CMSIS DSP library only supports matrix    
+ * inversion of floating-point matrices.    
+ *    
+ * \par Algorithm    
+ * The Gauss-Jordan method is used to find the inverse.    
+ * The algorithm performs a sequence of elementary row-operations until it    
+ * reduces the input matrix to an identity matrix. Applying the same sequence    
+ * of elementary row-operations to an identity matrix yields the inverse matrix.    
+ * If the input matrix is singular, then the algorithm terminates and returns error status    
+ * <code>ARM_MATH_SINGULAR</code>.    
+ * \image html MatrixInverse.gif "Matrix Inverse of a 3 x 3 matrix using Gauss-Jordan Method"    
+ */
+
+/**    
+ * @addtogroup MatrixInv    
+ * @{    
+ */
+
+/**    
+ * @brief Floating-point matrix inverse.    
+ * @param[in]       *pSrc points to input matrix structure    
+ * @param[out]      *pDst points to output matrix structure    
+ * @return     		The function returns    
+ * <code>ARM_MATH_SIZE_MISMATCH</code> if the input matrix is not square or if the size    
+ * of the output matrix does not match the size of the input matrix.    
+ * If the input matrix is found to be singular (non-invertible), then the function returns    
+ * <code>ARM_MATH_SINGULAR</code>.  Otherwise, the function returns <code>ARM_MATH_SUCCESS</code>.    
+ */
+
+arm_status arm_mat_inverse_f64(
+  const arm_matrix_instance_f64 * pSrc,
+  arm_matrix_instance_f64 * pDst)
+{
+  float64_t *pIn = pSrc->pData;                  /* input data matrix pointer */
+  float64_t *pOut = pDst->pData;                 /* output data matrix pointer */
+  float64_t *pInT1, *pInT2;                      /* Temporary input data matrix pointer */
+  float64_t *pOutT1, *pOutT2;                    /* Temporary output data matrix pointer */
+  float64_t *pPivotRowIn, *pPRT_in, *pPivotRowDst, *pPRT_pDst;  /* Temporary input and output data matrix pointer */
+  uint32_t numRows = pSrc->numRows;              /* Number of rows in the matrix  */
+  uint32_t numCols = pSrc->numCols;              /* Number of Cols in the matrix  */
+
+#ifndef ARM_MATH_CM0_FAMILY
+  float64_t maxC;                                /* maximum value in the column */
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  float64_t Xchg, in = 0.0f, in1;                /* Temporary input values  */
+  uint32_t i, rowCnt, flag = 0u, j, loopCnt, k, l;      /* loop counters */
+  arm_status status;                             /* status of matrix inverse */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+
+  /* Check for matrix mismatch condition */
+  if((pSrc->numRows != pSrc->numCols) || (pDst->numRows != pDst->numCols)
+     || (pSrc->numRows != pDst->numRows))
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
+
+  {
+
+    /*--------------------------------------------------------------------------------------------------------------    
+	 * Matrix Inverse can be solved using elementary row operations.    
+	 *    
+	 *	Gauss-Jordan Method:    
+	 *    
+	 *	   1. First combine the identity matrix and the input matrix separated by a bar to form an    
+	 *        augmented matrix as follows:    
+	 *				        _ 	      	       _         _	       _    
+	 *					   |  a11  a12 | 1   0  |       |  X11 X12  |    
+	 *					   |           |        |   =   |           |    
+	 *					   |_ a21  a22 | 0   1 _|       |_ X21 X21 _|    
+	 *    
+	 *		2. In our implementation, pDst Matrix is used as identity matrix.    
+	 *    
+	 *		3. Begin with the first row. Let i = 1.    
+	 *    
+	 *	    4. Check to see if the pivot for column i is the greatest of the column.    
+	 *		   The pivot is the element of the main diagonal that is on the current row.    
+	 *		   For instance, if working with row i, then the pivot element is aii.    
+	 *		   If the pivot is not the most significant of the columns, exchange that row with a row
+	 *		   below it that does contain the most significant value in column i. If the most
+	 *         significant value of the column is zero, then an inverse to that matrix does not exist.
+	 *		   The most significant value of the column is the absolute maximum.
+	 *    
+	 *	    5. Divide every element of row i by the pivot.    
+	 *    
+	 *	    6. For every row below and  row i, replace that row with the sum of that row and    
+	 *		   a multiple of row i so that each new element in column i below row i is zero.    
+	 *    
+	 *	    7. Move to the next row and column and repeat steps 2 through 5 until you have zeros    
+	 *		   for every element below and above the main diagonal.    
+	 *    
+	 *		8. Now an identical matrix is formed to the left of the bar(input matrix, pSrc).    
+	 *		   Therefore, the matrix to the right of the bar is our solution(pDst matrix, pDst).    
+	 *----------------------------------------------------------------------------------------------------------------*/
+
+    /* Working pointer for destination matrix */
+    pOutT1 = pOut;
+
+    /* Loop over the number of rows */
+    rowCnt = numRows;
+
+    /* Making the destination matrix as identity matrix */
+    while(rowCnt > 0u)
+    {
+      /* Writing all zeroes in lower triangle of the destination matrix */
+      j = numRows - rowCnt;
+      while(j > 0u)
+      {
+        *pOutT1++ = 0.0f;
+        j--;
+      }
+
+      /* Writing all ones in the diagonal of the destination matrix */
+      *pOutT1++ = 1.0f;
+
+      /* Writing all zeroes in upper triangle of the destination matrix */
+      j = rowCnt - 1u;
+      while(j > 0u)
+      {
+        *pOutT1++ = 0.0f;
+        j--;
+      }
+
+      /* Decrement the loop counter */
+      rowCnt--;
+    }
+
+    /* Loop over the number of columns of the input matrix.    
+       All the elements in each column are processed by the row operations */
+    loopCnt = numCols;
+
+    /* Index modifier to navigate through the columns */
+    l = 0u;
+
+    while(loopCnt > 0u)
+    {
+      /* Check if the pivot element is zero..    
+       * If it is zero then interchange the row with non zero row below.    
+       * If there is no non zero element to replace in the rows below,    
+       * then the matrix is Singular. */
+
+      /* Working pointer for the input matrix that points    
+       * to the pivot element of the particular row  */
+      pInT1 = pIn + (l * numCols);
+
+      /* Working pointer for the destination matrix that points    
+       * to the pivot element of the particular row  */
+      pOutT1 = pOut + (l * numCols);
+
+      /* Temporary variable to hold the pivot value */
+      in = *pInT1;
+
+      /* Grab the most significant value from column l */
+      maxC = 0;
+      for (i = l; i < numRows; i++)
+      {
+        maxC = *pInT1 > 0 ? (*pInT1 > maxC ? *pInT1 : maxC) : (-*pInT1 > maxC ? -*pInT1 : maxC);
+        pInT1 += numCols;
+      }
+
+      /* Update the status if the matrix is singular */
+      if(maxC == 0.0f)
+      {
+        return ARM_MATH_SINGULAR;
+      }
+
+      /* Restore pInT1  */
+      pInT1 = pIn;
+
+      /* Destination pointer modifier */
+      k = 1u;
+      
+      /* Check if the pivot element is the most significant of the column */
+      if( (in > 0.0f ? in : -in) != maxC)
+      {
+        /* Loop over the number rows present below */
+        i = numRows - (l + 1u);
+
+        while(i > 0u)
+        {
+          /* Update the input and destination pointers */
+          pInT2 = pInT1 + (numCols * l);
+          pOutT2 = pOutT1 + (numCols * k);
+
+          /* Look for the most significant element to    
+           * replace in the rows below */
+          if((*pInT2 > 0.0f ? *pInT2: -*pInT2) == maxC)
+          {
+            /* Loop over number of columns    
+             * to the right of the pilot element */
+            j = numCols - l;
+
+            while(j > 0u)
+            {
+              /* Exchange the row elements of the input matrix */
+              Xchg = *pInT2;
+              *pInT2++ = *pInT1;
+              *pInT1++ = Xchg;
+
+              /* Decrement the loop counter */
+              j--;
+            }
+
+            /* Loop over number of columns of the destination matrix */
+            j = numCols;
+
+            while(j > 0u)
+            {
+              /* Exchange the row elements of the destination matrix */
+              Xchg = *pOutT2;
+              *pOutT2++ = *pOutT1;
+              *pOutT1++ = Xchg;
+
+              /* Decrement the loop counter */
+              j--;
+            }
+
+            /* Flag to indicate whether exchange is done or not */
+            flag = 1u;
+
+            /* Break after exchange is done */
+            break;
+          }
+
+          /* Update the destination pointer modifier */
+          k++;
+
+          /* Decrement the loop counter */
+          i--;
+        }
+      }
+
+      /* Update the status if the matrix is singular */
+      if((flag != 1u) && (in == 0.0f))
+      {
+        return ARM_MATH_SINGULAR;
+      }
+
+      /* Points to the pivot row of input and destination matrices */
+      pPivotRowIn = pIn + (l * numCols);
+      pPivotRowDst = pOut + (l * numCols);
+
+      /* Temporary pointers to the pivot row pointers */
+      pInT1 = pPivotRowIn;
+      pInT2 = pPivotRowDst;
+
+      /* Pivot element of the row */
+      in = *pPivotRowIn;
+
+      /* Loop over number of columns    
+       * to the right of the pilot element */
+      j = (numCols - l);
+
+      while(j > 0u)
+      {
+        /* Divide each element of the row of the input matrix    
+         * by the pivot element */
+        in1 = *pInT1;
+        *pInT1++ = in1 / in;
+
+        /* Decrement the loop counter */
+        j--;
+      }
+
+      /* Loop over number of columns of the destination matrix */
+      j = numCols;
+
+      while(j > 0u)
+      {
+        /* Divide each element of the row of the destination matrix    
+         * by the pivot element */
+        in1 = *pInT2;
+        *pInT2++ = in1 / in;
+
+        /* Decrement the loop counter */
+        j--;
+      }
+
+      /* Replace the rows with the sum of that row and a multiple of row i    
+       * so that each new element in column i above row i is zero.*/
+
+      /* Temporary pointers for input and destination matrices */
+      pInT1 = pIn;
+      pInT2 = pOut;
+
+      /* index used to check for pivot element */
+      i = 0u;
+
+      /* Loop over number of rows */
+      /*  to be replaced by the sum of that row and a multiple of row i */
+      k = numRows;
+
+      while(k > 0u)
+      {
+        /* Check for the pivot element */
+        if(i == l)
+        {
+          /* If the processing element is the pivot element,    
+             only the columns to the right are to be processed */
+          pInT1 += numCols - l;
+
+          pInT2 += numCols;
+        }
+        else
+        {
+          /* Element of the reference row */
+          in = *pInT1;
+
+          /* Working pointers for input and destination pivot rows */
+          pPRT_in = pPivotRowIn;
+          pPRT_pDst = pPivotRowDst;
+
+          /* Loop over the number of columns to the right of the pivot element,    
+             to replace the elements in the input matrix */
+          j = (numCols - l);
+
+          while(j > 0u)
+          {
+            /* Replace the element by the sum of that row    
+               and a multiple of the reference row  */
+            in1 = *pInT1;
+            *pInT1++ = in1 - (in * *pPRT_in++);
+
+            /* Decrement the loop counter */
+            j--;
+          }
+
+          /* Loop over the number of columns to    
+             replace the elements in the destination matrix */
+          j = numCols;
+
+          while(j > 0u)
+          {
+            /* Replace the element by the sum of that row    
+               and a multiple of the reference row  */
+            in1 = *pInT2;
+            *pInT2++ = in1 - (in * *pPRT_pDst++);
+
+            /* Decrement the loop counter */
+            j--;
+          }
+
+        }
+
+        /* Increment the temporary input pointer */
+        pInT1 = pInT1 + l;
+
+        /* Decrement the loop counter */
+        k--;
+
+        /* Increment the pivot index */
+        i++;
+      }
+
+      /* Increment the input pointer */
+      pIn++;
+
+      /* Decrement the loop counter */
+      loopCnt--;
+
+      /* Increment the index modifier */
+      l++;
+    }
+
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  float64_t Xchg, in = 0.0f;                     /* Temporary input values  */
+  uint32_t i, rowCnt, flag = 0u, j, loopCnt, k, l;      /* loop counters */
+  arm_status status;                             /* status of matrix inverse */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+  /* Check for matrix mismatch condition */
+  if((pSrc->numRows != pSrc->numCols) || (pDst->numRows != pDst->numCols)
+     || (pSrc->numRows != pDst->numRows))
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif /*      #ifdef ARM_MATH_MATRIX_CHECK    */
+  {
+
+    /*--------------------------------------------------------------------------------------------------------------       
+	 * Matrix Inverse can be solved using elementary row operations.        
+	 *        
+	 *	Gauss-Jordan Method:       
+	 *	 	       
+	 *	   1. First combine the identity matrix and the input matrix separated by a bar to form an        
+	 *        augmented matrix as follows:        
+	 *				        _  _	      _	    _	   _   _         _	       _       
+	 *					   |  |  a11  a12  | | | 1   0  |   |       |  X11 X12  |         
+	 *					   |  |            | | |        |   |   =   |           |        
+	 *					   |_ |_ a21  a22 _| | |_0   1 _|  _|       |_ X21 X21 _|       
+	 *					          
+	 *		2. In our implementation, pDst Matrix is used as identity matrix.    
+	 *       
+	 *		3. Begin with the first row. Let i = 1.       
+	 *       
+	 *	    4. Check to see if the pivot for row i is zero.       
+	 *		   The pivot is the element of the main diagonal that is on the current row.       
+	 *		   For instance, if working with row i, then the pivot element is aii.       
+	 *		   If the pivot is zero, exchange that row with a row below it that does not        
+	 *		   contain a zero in column i. If this is not possible, then an inverse        
+	 *		   to that matrix does not exist.       
+	 *	       
+	 *	    5. Divide every element of row i by the pivot.       
+	 *	       
+	 *	    6. For every row below and  row i, replace that row with the sum of that row and        
+	 *		   a multiple of row i so that each new element in column i below row i is zero.       
+	 *	       
+	 *	    7. Move to the next row and column and repeat steps 2 through 5 until you have zeros       
+	 *		   for every element below and above the main diagonal.        
+	 *		   		          
+	 *		8. Now an identical matrix is formed to the left of the bar(input matrix, src).       
+	 *		   Therefore, the matrix to the right of the bar is our solution(dst matrix, dst).         
+	 *----------------------------------------------------------------------------------------------------------------*/
+
+    /* Working pointer for destination matrix */
+    pOutT1 = pOut;
+
+    /* Loop over the number of rows */
+    rowCnt = numRows;
+
+    /* Making the destination matrix as identity matrix */
+    while(rowCnt > 0u)
+    {
+      /* Writing all zeroes in lower triangle of the destination matrix */
+      j = numRows - rowCnt;
+      while(j > 0u)
+      {
+        *pOutT1++ = 0.0f;
+        j--;
+      }
+
+      /* Writing all ones in the diagonal of the destination matrix */
+      *pOutT1++ = 1.0f;
+
+      /* Writing all zeroes in upper triangle of the destination matrix */
+      j = rowCnt - 1u;
+      while(j > 0u)
+      {
+        *pOutT1++ = 0.0f;
+        j--;
+      }
+
+      /* Decrement the loop counter */
+      rowCnt--;
+    }
+
+    /* Loop over the number of columns of the input matrix.     
+       All the elements in each column are processed by the row operations */
+    loopCnt = numCols;
+
+    /* Index modifier to navigate through the columns */
+    l = 0u;
+    //for(loopCnt = 0u; loopCnt < numCols; loopCnt++)   
+    while(loopCnt > 0u)
+    {
+      /* Check if the pivot element is zero..    
+       * If it is zero then interchange the row with non zero row below.   
+       * If there is no non zero element to replace in the rows below,   
+       * then the matrix is Singular. */
+
+      /* Working pointer for the input matrix that points     
+       * to the pivot element of the particular row  */
+      pInT1 = pIn + (l * numCols);
+
+      /* Working pointer for the destination matrix that points     
+       * to the pivot element of the particular row  */
+      pOutT1 = pOut + (l * numCols);
+
+      /* Temporary variable to hold the pivot value */
+      in = *pInT1;
+
+      /* Destination pointer modifier */
+      k = 1u;
+
+      /* Check if the pivot element is zero */
+      if(*pInT1 == 0.0f)
+      {
+        /* Loop over the number rows present below */
+        for (i = (l + 1u); i < numRows; i++)
+        {
+          /* Update the input and destination pointers */
+          pInT2 = pInT1 + (numCols * l);
+          pOutT2 = pOutT1 + (numCols * k);
+
+          /* Check if there is a non zero pivot element to     
+           * replace in the rows below */
+          if(*pInT2 != 0.0f)
+          {
+            /* Loop over number of columns     
+             * to the right of the pilot element */
+            for (j = 0u; j < (numCols - l); j++)
+            {
+              /* Exchange the row elements of the input matrix */
+              Xchg = *pInT2;
+              *pInT2++ = *pInT1;
+              *pInT1++ = Xchg;
+            }
+
+            for (j = 0u; j < numCols; j++)
+            {
+              Xchg = *pOutT2;
+              *pOutT2++ = *pOutT1;
+              *pOutT1++ = Xchg;
+            }
+
+            /* Flag to indicate whether exchange is done or not */
+            flag = 1u;
+
+            /* Break after exchange is done */
+            break;
+          }
+
+          /* Update the destination pointer modifier */
+          k++;
+        }
+      }
+
+      /* Update the status if the matrix is singular */
+      if((flag != 1u) && (in == 0.0f))
+      {
+        return ARM_MATH_SINGULAR;
+      }
+
+      /* Points to the pivot row of input and destination matrices */
+      pPivotRowIn = pIn + (l * numCols);
+      pPivotRowDst = pOut + (l * numCols);
+
+      /* Temporary pointers to the pivot row pointers */
+      pInT1 = pPivotRowIn;
+      pOutT1 = pPivotRowDst;
+
+      /* Pivot element of the row */
+      in = *(pIn + (l * numCols));
+
+      /* Loop over number of columns     
+       * to the right of the pilot element */
+      for (j = 0u; j < (numCols - l); j++)
+      {
+        /* Divide each element of the row of the input matrix     
+         * by the pivot element */
+        *pInT1 = *pInT1 / in;
+        pInT1++;
+      }
+      for (j = 0u; j < numCols; j++)
+      {
+        /* Divide each element of the row of the destination matrix     
+         * by the pivot element */
+        *pOutT1 = *pOutT1 / in;
+        pOutT1++;
+      }
+
+      /* Replace the rows with the sum of that row and a multiple of row i     
+       * so that each new element in column i above row i is zero.*/
+
+      /* Temporary pointers for input and destination matrices */
+      pInT1 = pIn;
+      pOutT1 = pOut;
+
+      for (i = 0u; i < numRows; i++)
+      {
+        /* Check for the pivot element */
+        if(i == l)
+        {
+          /* If the processing element is the pivot element,     
+             only the columns to the right are to be processed */
+          pInT1 += numCols - l;
+          pOutT1 += numCols;
+        }
+        else
+        {
+          /* Element of the reference row */
+          in = *pInT1;
+
+          /* Working pointers for input and destination pivot rows */
+          pPRT_in = pPivotRowIn;
+          pPRT_pDst = pPivotRowDst;
+
+          /* Loop over the number of columns to the right of the pivot element,     
+             to replace the elements in the input matrix */
+          for (j = 0u; j < (numCols - l); j++)
+          {
+            /* Replace the element by the sum of that row     
+               and a multiple of the reference row  */
+            *pInT1 = *pInT1 - (in * *pPRT_in++);
+            pInT1++;
+          }
+          /* Loop over the number of columns to     
+             replace the elements in the destination matrix */
+          for (j = 0u; j < numCols; j++)
+          {
+            /* Replace the element by the sum of that row     
+               and a multiple of the reference row  */
+            *pOutT1 = *pOutT1 - (in * *pPRT_pDst++);
+            pOutT1++;
+          }
+
+        }
+        /* Increment the temporary input pointer */
+        pInT1 = pInT1 + l;
+      }
+      /* Increment the input pointer */
+      pIn++;
+
+      /* Decrement the loop counter */
+      loopCnt--;
+      /* Increment the index modifier */
+      l++;
+    }
+
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+
+    if((flag != 1u) && (in == 0.0f))
+    {
+      pIn = pSrc->pData;
+      for (i = 0; i < numRows * numCols; i++)
+      {
+        if (pIn[i] != 0.0f)
+            break;
+      }
+      
+      if (i == numRows * numCols)
+        status = ARM_MATH_SINGULAR;
+    }
+  }
+  /* Return to application */
+  return (status);
+}
+
+/**    
+ * @} end of MatrixInv group    
+ */

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/MatrixFunctions/arm_mat_mult_f32.c
--- a/cmsis_dsp/MatrixFunctions/arm_mat_mult_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/MatrixFunctions/arm_mat_mult_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_mat_mult_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/MatrixFunctions/arm_mat_mult_fast_q15.c
--- a/cmsis_dsp/MatrixFunctions/arm_mat_mult_fast_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/MatrixFunctions/arm_mat_mult_fast_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_mat_mult_fast_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/MatrixFunctions/arm_mat_mult_fast_q31.c
--- a/cmsis_dsp/MatrixFunctions/arm_mat_mult_fast_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/MatrixFunctions/arm_mat_mult_fast_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_mat_mult_fast_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/MatrixFunctions/arm_mat_mult_q15.c
--- a/cmsis_dsp/MatrixFunctions/arm_mat_mult_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/MatrixFunctions/arm_mat_mult_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_mat_mult_q15.c    
@@ -55,7 +55,7 @@
  * @param[in]       *pSrcA points to the first input matrix structure    
  * @param[in]       *pSrcB points to the second input matrix structure    
  * @param[out]      *pDst points to output matrix structure    
- * @param[in]		*pState points to the array for storing intermediate results   
+ * @param[in]		*pState points to the array for storing intermediate results (Unused)  
  * @return     		The function returns either    
  * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.    
  *    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/MatrixFunctions/arm_mat_mult_q31.c
--- a/cmsis_dsp/MatrixFunctions/arm_mat_mult_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/MatrixFunctions/arm_mat_mult_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_mat_mult_q31.c    
@@ -261,7 +261,7 @@
         }
 
         /* Convert the result from 2.62 to 1.31 format and store in destination buffer */
-        *px++ = (q31_t) (sum >> 31);
+        *px++ = (q31_t) clip_q63_to_q31(sum >> 31);
 
         /* Decrement the column loop counter */
         col--;

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/MatrixFunctions/arm_mat_scale_f32.c
--- a/cmsis_dsp/MatrixFunctions/arm_mat_scale_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/MatrixFunctions/arm_mat_scale_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:        arm_mat_scale_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/MatrixFunctions/arm_mat_scale_q15.c
--- a/cmsis_dsp/MatrixFunctions/arm_mat_scale_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/MatrixFunctions/arm_mat_scale_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_mat_scale_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/MatrixFunctions/arm_mat_scale_q31.c
--- a/cmsis_dsp/MatrixFunctions/arm_mat_scale_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/MatrixFunctions/arm_mat_scale_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_mat_scale_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/MatrixFunctions/arm_mat_sub_f32.c
--- a/cmsis_dsp/MatrixFunctions/arm_mat_sub_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/MatrixFunctions/arm_mat_sub_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_mat_sub_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/MatrixFunctions/arm_mat_sub_q15.c
--- a/cmsis_dsp/MatrixFunctions/arm_mat_sub_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/MatrixFunctions/arm_mat_sub_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_mat_sub_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/MatrixFunctions/arm_mat_sub_q31.c
--- a/cmsis_dsp/MatrixFunctions/arm_mat_sub_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/MatrixFunctions/arm_mat_sub_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_mat_sub_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/MatrixFunctions/arm_mat_trans_f32.c
--- a/cmsis_dsp/MatrixFunctions/arm_mat_trans_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/MatrixFunctions/arm_mat_trans_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_mat_trans_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/MatrixFunctions/arm_mat_trans_q15.c
--- a/cmsis_dsp/MatrixFunctions/arm_mat_trans_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/MatrixFunctions/arm_mat_trans_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_mat_trans_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/MatrixFunctions/arm_mat_trans_q31.c
--- a/cmsis_dsp/MatrixFunctions/arm_mat_trans_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/MatrixFunctions/arm_mat_trans_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_mat_trans_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/StatisticsFunctions/arm_max_f32.c
--- a/cmsis_dsp/StatisticsFunctions/arm_max_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/StatisticsFunctions/arm_max_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_max_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/StatisticsFunctions/arm_max_q15.c
--- a/cmsis_dsp/StatisticsFunctions/arm_max_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/StatisticsFunctions/arm_max_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_max_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/StatisticsFunctions/arm_max_q31.c
--- a/cmsis_dsp/StatisticsFunctions/arm_max_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/StatisticsFunctions/arm_max_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_max_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/StatisticsFunctions/arm_max_q7.c
--- a/cmsis_dsp/StatisticsFunctions/arm_max_q7.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/StatisticsFunctions/arm_max_q7.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_max_q7.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/StatisticsFunctions/arm_mean_f32.c
--- a/cmsis_dsp/StatisticsFunctions/arm_mean_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/StatisticsFunctions/arm_mean_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_mean_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/StatisticsFunctions/arm_mean_q15.c
--- a/cmsis_dsp/StatisticsFunctions/arm_mean_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/StatisticsFunctions/arm_mean_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_mean_q15.c    
@@ -125,7 +125,7 @@
 
   /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize  */
   /* Store the result to the destination */
-  *pResult = (q15_t) (sum / blockSize);
+  *pResult = (q15_t) (sum / (q31_t)blockSize);
 }
 
 /**    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/StatisticsFunctions/arm_mean_q31.c
--- a/cmsis_dsp/StatisticsFunctions/arm_mean_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/StatisticsFunctions/arm_mean_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_mean_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/StatisticsFunctions/arm_mean_q7.c
--- a/cmsis_dsp/StatisticsFunctions/arm_mean_q7.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/StatisticsFunctions/arm_mean_q7.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_mean_q7.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/StatisticsFunctions/arm_min_f32.c
--- a/cmsis_dsp/StatisticsFunctions/arm_min_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/StatisticsFunctions/arm_min_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_min_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/StatisticsFunctions/arm_min_q15.c
--- a/cmsis_dsp/StatisticsFunctions/arm_min_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/StatisticsFunctions/arm_min_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_min_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/StatisticsFunctions/arm_min_q31.c
--- a/cmsis_dsp/StatisticsFunctions/arm_min_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/StatisticsFunctions/arm_min_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_min_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/StatisticsFunctions/arm_min_q7.c
--- a/cmsis_dsp/StatisticsFunctions/arm_min_q7.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/StatisticsFunctions/arm_min_q7.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_min_q7.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/StatisticsFunctions/arm_power_f32.c
--- a/cmsis_dsp/StatisticsFunctions/arm_power_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/StatisticsFunctions/arm_power_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_power_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/StatisticsFunctions/arm_power_q15.c
--- a/cmsis_dsp/StatisticsFunctions/arm_power_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/StatisticsFunctions/arm_power_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_power_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/StatisticsFunctions/arm_power_q31.c
--- a/cmsis_dsp/StatisticsFunctions/arm_power_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/StatisticsFunctions/arm_power_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_power_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/StatisticsFunctions/arm_power_q7.c
--- a/cmsis_dsp/StatisticsFunctions/arm_power_q7.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/StatisticsFunctions/arm_power_q7.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_power_q7.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/StatisticsFunctions/arm_rms_f32.c
--- a/cmsis_dsp/StatisticsFunctions/arm_rms_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/StatisticsFunctions/arm_rms_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_rms_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/StatisticsFunctions/arm_rms_q15.c
--- a/cmsis_dsp/StatisticsFunctions/arm_rms_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/StatisticsFunctions/arm_rms_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_rms_q15.c    
@@ -116,19 +116,14 @@
   }
 
   /* Truncating and saturating the accumulator to 1.15 format */
-  in = (q31_t)(sum >> 15);
-
-  in1 = __SSAT(in / blockSize, 16);
-
   /* Store the result in the destination */
-  arm_sqrt_q15(in1, pResult);
+  arm_sqrt_q15(__SSAT((sum / (q63_t)blockSize) >> 15, 16), pResult);
 
 #else
 
   /* Run the below code for Cortex-M0 */
 
   q15_t in;                                      /* temporary variable to store the input value */
-  q31_t tmp;                                     /* temporary variable to store the input value */
   uint32_t blkCnt;                               /* loop counter */
 
   /* Loop over blockSize number of values */
@@ -146,12 +141,8 @@
   }
 
   /* Truncating and saturating the accumulator to 1.15 format */
-  tmp = (q31_t)(sum >> 15);
-
-  in = __SSAT(tmp / blockSize, 16);
-
   /* Store the result in the destination */
-  arm_sqrt_q15(in, pResult);
+  arm_sqrt_q15(__SSAT((sum / (q63_t)blockSize) >> 15, 16), pResult);
 
 #endif /* #ifndef ARM_MATH_CM0_FAMILY */
 

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/StatisticsFunctions/arm_rms_q31.c
--- a/cmsis_dsp/StatisticsFunctions/arm_rms_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/StatisticsFunctions/arm_rms_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_rms_q31.c    
@@ -141,12 +141,8 @@
   }
 
   /* Convert data in 2.62 to 1.31 by 31 right shifts and saturate */
-
-  sum = __SSAT(sum >> 31, 31);
-
-
   /* Compute Rms and store the result in the destination vector */
-  arm_sqrt_q31((q31_t) ((q31_t) sum / (int32_t) blockSize), pResult);
+  arm_sqrt_q31(clip_q63_to_q31((sum / (q63_t) blockSize) >> 31), pResult);
 }
 
 /**        

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/StatisticsFunctions/arm_std_f32.c
--- a/cmsis_dsp/StatisticsFunctions/arm_std_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/StatisticsFunctions/arm_std_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_std_f32.c    
@@ -86,13 +86,19 @@
   float32_t sumOfSquares = 0.0f;                 /* Sum of squares */
   float32_t in;                                  /* input value */
   uint32_t blkCnt;                               /* loop counter */
-
+   
 #ifndef ARM_MATH_CM0_FAMILY
 
   /* Run the below code for Cortex-M4 and Cortex-M3 */
 
   float32_t meanOfSquares, mean, squareOfMean;
 
+	if(blockSize == 1)
+	{
+		*pResult = 0;
+		return;
+	}
+
   /*loop Unrolling */
   blkCnt = blockSize >> 2u;
 
@@ -158,6 +164,12 @@
   float32_t squareOfSum;                         /* Square of Sum */
   float32_t var;                                 /* Temporary varaince storage */
 
+	if(blockSize == 1)
+	{
+		*pResult = 0;
+		return;
+	}
+
   /* Loop over blockSize number of values */
   blkCnt = blockSize;
 

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/StatisticsFunctions/arm_std_q15.c
--- a/cmsis_dsp/StatisticsFunctions/arm_std_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/StatisticsFunctions/arm_std_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_std_q15.c    
@@ -77,11 +77,9 @@
 {
   q31_t sum = 0;                                 /* Accumulator */
   q31_t meanOfSquares, squareOfMean;             /* square of mean and mean of square */
-  q15_t mean;                                    /* mean */
   uint32_t blkCnt;                               /* loop counter */
-  q15_t t;                                       /* Temporary variable */
   q63_t sumOfSquares = 0;                        /* Accumulator */
-
+   
 #ifndef ARM_MATH_CM0_FAMILY
 
   /* Run the below code for Cortex-M4 and Cortex-M3 */
@@ -89,6 +87,12 @@
   q31_t in;                                      /* input value */
   q15_t in1;                                     /* input value */
 
+	if(blockSize == 1)
+	{
+		*pResult = 0;
+		return;
+	}
+
   /*loop Unrolling */
   blkCnt = blockSize >> 2u;
 
@@ -131,30 +135,26 @@
 
   /* Compute Mean of squares of the input samples    
    * and then store the result in a temporary variable, meanOfSquares. */
-  t = (q15_t) ((1.0 / (blockSize - 1)) * 16384LL);
-  sumOfSquares = __SSAT((sumOfSquares >> 15u), 16u);
-
-  meanOfSquares = (q31_t) ((sumOfSquares * t) >> 14u);
-
-  /* Compute mean of all input values */
-  t = (q15_t) ((1.0 / (blockSize * (blockSize - 1))) * 32768LL);
-  mean = (q15_t) __SSAT(sum, 16u);
+  meanOfSquares = (q31_t)(sumOfSquares / (q63_t)(blockSize - 1));
 
   /* Compute square of mean */
-  squareOfMean = ((q31_t) mean * mean) >> 15;
-  squareOfMean = (q31_t) (((q63_t) squareOfMean * t) >> 15);
+  squareOfMean = (q31_t) ((q63_t)sum * sum / (q63_t)(blockSize * (blockSize - 1)));
 
   /* mean of the squares minus the square of the mean. */
-  in1 = (q15_t) (meanOfSquares - squareOfMean);
-
   /* Compute standard deviation and store the result to the destination */
-  arm_sqrt_q15(in1, pResult);
+  arm_sqrt_q15(__SSAT((meanOfSquares - squareOfMean) >> 15, 16u), pResult);
 
 #else
 
   /* Run the below code for Cortex-M0 */
   q15_t in;                                      /* input value */
 
+	if(blockSize == 1)
+	{
+		*pResult = 0;
+		return;
+	}
+
   /* Loop over blockSize number of values */
   blkCnt = blockSize;
 
@@ -176,24 +176,14 @@
 
   /* Compute Mean of squares of the input samples     
    * and then store the result in a temporary variable, meanOfSquares. */
-  t = (q15_t) ((1.0 / (blockSize - 1)) * 16384LL);
-  sumOfSquares = __SSAT((sumOfSquares >> 15u), 16u);
-  meanOfSquares = (q31_t) ((sumOfSquares * t) >> 14u);
+  meanOfSquares = (q31_t)(sumOfSquares / (q63_t)(blockSize - 1));
 
-  /* Compute mean of all input values */
-  mean = (q15_t) __SSAT(sum, 16u);
-
-  /* Compute square of mean of the input samples   
-   * and then store the result in a temporary variable, squareOfMean.*/
-  t = (q15_t) ((1.0 / (blockSize * (blockSize - 1))) * 32768LL);
-  squareOfMean = ((q31_t) mean * mean) >> 15;
-  squareOfMean = (q31_t) (((q63_t) squareOfMean * t) >> 15);
+  /* Compute square of mean */
+  squareOfMean = (q31_t) ((q63_t)sum * sum / (q63_t)(blockSize * (blockSize - 1)));
 
   /* mean of the squares minus the square of the mean. */
-  in = (q15_t) (meanOfSquares - squareOfMean);
-
   /* Compute standard deviation and store the result to the destination */
-  arm_sqrt_q15(in, pResult);
+  arm_sqrt_q15(__SSAT((meanOfSquares - squareOfMean) >> 15, 16u), pResult);
 
 #endif /* #ifndef ARM_MATH_CM0_FAMILY */
 

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/StatisticsFunctions/arm_std_q31.c
--- a/cmsis_dsp/StatisticsFunctions/arm_std_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/StatisticsFunctions/arm_std_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_std_q31.c    
@@ -60,16 +60,17 @@
  * <b>Scaling and Overflow Behavior:</b>    
  *    
  *\par    
- * The function is implemented using an internal 64-bit accumulator.    
- * The input is represented in 1.31 format, and intermediate multiplication    
- * yields a 2.62 format.    
- * The accumulator maintains full precision of the intermediate multiplication results,     
- * but provides only a single guard bit.    
- * There is no saturation on intermediate additions.    
- * If the accumulator overflows it wraps around and distorts the result.    
- * In order to avoid overflows completely the input signal must be scaled down by     
- * log2(blockSize) bits, as a total of blockSize additions are performed internally.     
- * Finally, the 2.62 accumulator is right shifted by 31 bits to yield a 1.31 format value.    
+ * The function is implemented using an internal 64-bit accumulator.        
+ * The input is represented in 1.31 format, which is then downshifted by 8 bits
+ * which yields 1.23, and intermediate multiplication yields a 2.46 format.        
+ * The accumulator maintains full precision of the intermediate multiplication results,         
+ * but provides only a 16 guard bits.        
+ * There is no saturation on intermediate additions.        
+ * If the accumulator overflows it wraps around and distorts the result.        
+ * In order to avoid overflows completely the input signal must be scaled down by         
+ * log2(blockSize)-8 bits, as a total of blockSize additions are performed internally.  
+ * After division, internal variables should be Q18.46 
+ * Finally, the 18.46 accumulator is right shifted by 15 bits to yield a 1.31 format value. 
  *    
  */
 
@@ -80,13 +81,17 @@
   q31_t * pResult)
 {
   q63_t sum = 0;                                 /* Accumulator */
-  q31_t meanOfSquares, squareOfMean;             /* square of mean and mean of square */
-  q31_t mean;                                    /* mean */
+  q63_t meanOfSquares, squareOfMean;             /* square of mean and mean of square */
   q31_t in;                                      /* input value */
-  q31_t t;                                       /* Temporary variable */
   uint32_t blkCnt;                               /* loop counter */
   q63_t sumOfSquares = 0;                        /* Accumulator */
 
+	if(blockSize == 1)
+	{
+		*pResult = 0;
+		return;
+	}
+   
 #ifndef ARM_MATH_CM0_FAMILY
 
   /* Run the below code for Cortex-M4 and Cortex-M3 */
@@ -101,16 +106,16 @@
     /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1])  */
     /* Compute Sum of squares of the input samples    
      * and then store the result in a temporary variable, sum. */
-    in = *pSrc++;
+    in = *pSrc++ >> 8;
     sum += in;
     sumOfSquares += ((q63_t) (in) * (in));
-    in = *pSrc++;
+    in = *pSrc++ >> 8;
     sum += in;
     sumOfSquares += ((q63_t) (in) * (in));
-    in = *pSrc++;
+    in = *pSrc++ >> 8;
     sum += in;
     sumOfSquares += ((q63_t) (in) * (in));
-    in = *pSrc++;
+    in = *pSrc++ >> 8;
     sum += in;
     sumOfSquares += ((q63_t) (in) * (in));
 
@@ -127,7 +132,7 @@
     /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
     /* Compute Sum of squares of the input samples    
      * and then store the result in a temporary variable, sum. */
-    in = *pSrc++;
+    in = *pSrc++ >> 8;
     sum += in;
     sumOfSquares += ((q63_t) (in) * (in));
 
@@ -135,12 +140,9 @@
     blkCnt--;
   }
 
-  t = (q31_t) ((1.0f / (float32_t) (blockSize - 1u)) * 1073741824.0f);
-
   /* Compute Mean of squares of the input samples    
    * and then store the result in a temporary variable, meanOfSquares. */
-  sumOfSquares = (sumOfSquares >> 31);
-  meanOfSquares = (q31_t) ((sumOfSquares * t) >> 30);
+  meanOfSquares = sumOfSquares / (q63_t)(blockSize - 1);
 
 #else
 
@@ -154,7 +156,7 @@
     /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
     /* Compute Sum of squares of the input samples     
      * and then store the result in a temporary variable, sumOfSquares. */
-    in = *pSrc++;
+    in = *pSrc++ >> 8;
     sumOfSquares += ((q63_t) (in) * (in));
 
     /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
@@ -167,23 +169,15 @@
 
   /* Compute Mean of squares of the input samples     
    * and then store the result in a temporary variable, meanOfSquares. */
-  t = (q31_t) ((1.0f / (float32_t) (blockSize - 1u)) * 1073741824.0f);
-  sumOfSquares = (sumOfSquares >> 31);
-  meanOfSquares = (q31_t) ((sumOfSquares * t) >> 30);
+  meanOfSquares = sumOfSquares / (q63_t)(blockSize - 1);
 
 #endif /* #ifndef ARM_MATH_CM0_FAMILY */
 
-  /* Compute mean of all input values */
-  t = (q31_t) ((1.0f / (blockSize * (blockSize - 1u))) * 2147483648.0f);
-  mean = (q31_t) (sum);
-
   /* Compute square of mean */
-  squareOfMean = (q31_t) (((q63_t) mean * mean) >> 31);
-  squareOfMean = (q31_t) (((q63_t) squareOfMean * t) >> 31);
-
+  squareOfMean = sum * sum / (q63_t)(blockSize * (blockSize - 1u));
 
   /* Compute standard deviation and then store the result to the destination */
-  arm_sqrt_q31(meanOfSquares - squareOfMean, pResult);
+  arm_sqrt_q31((meanOfSquares - squareOfMean) >> 15, pResult);
 
 }
 

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/StatisticsFunctions/arm_var_f32.c
--- a/cmsis_dsp/StatisticsFunctions/arm_var_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/StatisticsFunctions/arm_var_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_var_f32.c    
@@ -87,13 +87,19 @@
   float32_t sumOfSquares = 0.0f;                 /* Sum of squares */
   float32_t in;                                  /* input value */
   uint32_t blkCnt;                               /* loop counter */
-
+  
 #ifndef ARM_MATH_CM0_FAMILY
-
+   
   /* Run the below code for Cortex-M4 and Cortex-M3 */
 
   float32_t meanOfSquares, mean, squareOfMean;   /* Temporary variables */
 
+	if(blockSize == 1)
+	{
+		*pResult = 0;
+		return;
+	}
+
   /*loop Unrolling */
   blkCnt = blockSize >> 2u;
 
@@ -157,6 +163,12 @@
   /* Run the below code for Cortex-M0 */
   float32_t squareOfSum;                         /* Square of Sum */
 
+	if(blockSize == 1)
+	{
+		*pResult = 0;
+		return;
+	}
+
   /* Loop over blockSize number of values */
   blkCnt = blockSize;
 

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/StatisticsFunctions/arm_var_q15.c
--- a/cmsis_dsp/StatisticsFunctions/arm_var_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/StatisticsFunctions/arm_var_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_var_q15.c    
@@ -75,21 +75,26 @@
 void arm_var_q15(
   q15_t * pSrc,
   uint32_t blockSize,
-  q31_t * pResult)
+  q15_t * pResult)
 {
+
   q31_t sum = 0;                                 /* Accumulator */
-  q31_t meanOfSquares, squareOfMean;             /* Mean of square and square of mean */
-  q15_t mean;                                    /* mean */
+  q31_t meanOfSquares, squareOfMean;             /* square of mean and mean of square */
   uint32_t blkCnt;                               /* loop counter */
-  q15_t t;                                       /* Temporary variable */
   q63_t sumOfSquares = 0;                        /* Accumulator */
-
+   
 #ifndef ARM_MATH_CM0_FAMILY
 
   /* Run the below code for Cortex-M4 and Cortex-M3 */
 
-  q31_t in;                                      /* Input variable */
-  q15_t in1;                                     /* Temporary variable */
+  q31_t in;                                      /* input value */
+  q15_t in1;                                     /* input value */
+
+	if(blockSize == 1)
+	{
+		*pResult = 0;
+		return;
+	}
 
   /*loop Unrolling */
   blkCnt = blockSize >> 2u;
@@ -124,8 +129,8 @@
     /* Compute Sum of squares of the input samples    
      * and then store the result in a temporary variable, sum. */
     in1 = *pSrc++;
+    sumOfSquares = __SMLALD(in1, in1, sumOfSquares);
     sum += in1;
-    sumOfSquares = __SMLALD(in1, in1, sumOfSquares);
 
     /* Decrement the loop counter */
     blkCnt--;
@@ -133,16 +138,25 @@
 
   /* Compute Mean of squares of the input samples    
    * and then store the result in a temporary variable, meanOfSquares. */
-  t = (q15_t) ((1.0f / (float32_t) (blockSize - 1u)) * 16384);
-  sumOfSquares = __SSAT((sumOfSquares >> 15u), 16u);
+  meanOfSquares = (q31_t) (sumOfSquares / (q63_t)(blockSize - 1));
 
-  meanOfSquares = (q31_t) ((sumOfSquares * t) >> 14u);
+  /* Compute square of mean */
+  squareOfMean = (q31_t)((q63_t)sum * sum / (q63_t)(blockSize * (blockSize - 1)));
+
+  /* mean of the squares minus the square of the mean. */
+  *pResult = (meanOfSquares - squareOfMean) >> 15;
 
 #else
 
   /* Run the below code for Cortex-M0 */
+  q15_t in;                                      /* input value */
 
-  q15_t in;                                      /* Temporary variable */
+	if(blockSize == 1)
+	{
+		*pResult = 0;
+		return;
+	}
+
   /* Loop over blockSize number of values */
   blkCnt = blockSize;
 
@@ -164,23 +178,16 @@
 
   /* Compute Mean of squares of the input samples     
    * and then store the result in a temporary variable, meanOfSquares. */
-  t = (q15_t) ((1.0f / (float32_t) (blockSize - 1u)) * 16384);
-  sumOfSquares = __SSAT((sumOfSquares >> 15u), 16u);
-  meanOfSquares = (q31_t) ((sumOfSquares * t) >> 14u);
+  meanOfSquares = (q31_t) (sumOfSquares / (q63_t)(blockSize - 1));
+
+  /* Compute square of mean */
+  squareOfMean = (q31_t)((q63_t)sum * sum / (q63_t)(blockSize * (blockSize - 1)));
+
+  /* mean of the squares minus the square of the mean. */
+  *pResult = (meanOfSquares - squareOfMean) >> 15;
 
 #endif /* #ifndef ARM_MATH_CM0_FAMILY */
 
-  /* Compute mean of all input values */
-  t = (q15_t) ((1.0f / (float32_t) (blockSize * (blockSize - 1u))) * 32768);
-  mean = __SSAT(sum, 16u);
-
-  /* Compute square of mean */
-  squareOfMean = ((q31_t) mean * mean) >> 15;
-  squareOfMean = (q31_t) (((q63_t) squareOfMean * t) >> 15);
-
-  /* Compute variance and then store the result to the destination */
-  *pResult = (meanOfSquares - squareOfMean);
-
 }
 
 /**    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/StatisticsFunctions/arm_var_q31.c
--- a/cmsis_dsp/StatisticsFunctions/arm_var_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/StatisticsFunctions/arm_var_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_var_q31.c    
@@ -61,15 +61,16 @@
  *        
  *\par        
  * The function is implemented using an internal 64-bit accumulator.        
- * The input is represented in 1.31 format, and intermediate multiplication        
- * yields a 2.62 format.        
+ * The input is represented in 1.31 format, which is then downshifted by 8 bits
+ * which yields 1.23, and intermediate multiplication yields a 2.46 format.        
  * The accumulator maintains full precision of the intermediate multiplication results,         
- * but provides only a single guard bit.        
+ * but provides only a 16 guard bits.        
  * There is no saturation on intermediate additions.        
  * If the accumulator overflows it wraps around and distorts the result.        
  * In order to avoid overflows completely the input signal must be scaled down by         
- * log2(blockSize) bits, as a total of blockSize additions are performed internally.         
- * Finally, the 2.62 accumulator is right shifted by 31 bits to yield a 1.31 format value.        
+ * log2(blockSize)-8 bits, as a total of blockSize additions are performed internally.  
+ * After division, internal variables should be Q18.46 
+ * Finally, the 18.46 accumulator is right shifted by 15 bits to yield a 1.31 format value.        
  *        
  */
 
@@ -77,20 +78,23 @@
 void arm_var_q31(
   q31_t * pSrc,
   uint32_t blockSize,
-  q63_t * pResult)
+  q31_t * pResult)
 {
-  q63_t sum = 0, sumSquare = 0;                  /* Accumulator */
-  q31_t meanOfSquares, squareOfMean;             /* square of mean and mean of square */
-  q31_t mean;                                    /* mean */
+  q63_t sum = 0;                                 /* Accumulator */
+  q63_t meanOfSquares, squareOfMean;             /* square of mean and mean of square */
   q31_t in;                                      /* input value */
-  q31_t t;                                       /* Temporary variable */
   uint32_t blkCnt;                               /* loop counter */
+  q63_t sumOfSquares = 0;                        /* Accumulator */
 
+	if(blockSize == 1)
+	{
+		*pResult = 0;
+		return;
+	}
+   
 #ifndef ARM_MATH_CM0_FAMILY
 
   /* Run the below code for Cortex-M4 and Cortex-M3 */
-  q63_t sumSquare1 = 0;                          /* Accumulator */
-  q31_t in1, in2, in3, in4;                      /* Temporary input variables */
 
   /*loop Unrolling */
   blkCnt = blockSize >> 2u;
@@ -100,76 +104,81 @@
   while(blkCnt > 0u)
   {
     /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1])  */
-    /* Compute Sum of squares of the input samples        
+    /* Compute Sum of squares of the input samples    
      * and then store the result in a temporary variable, sum. */
-    /* read input samples from source buffer */
-    in1 = pSrc[0];
-    in2 = pSrc[1];
-
-    /* calculate sum of inputs */
-    sum += in1;
-    /* calculate sum of squares */
-    sumSquare += ((q63_t) (in1) * (in1));
-    in3 = pSrc[2];
-    sum += in2;
-    sumSquare1 += ((q63_t) (in2) * (in2));
-    in4 = pSrc[3];
-    sum += in3;
-    sumSquare += ((q63_t) (in3) * (in3));
-    sum += in4;
-    sumSquare1 += ((q63_t) (in4) * (in4));
-
-    /* update input pointer to process next samples */
-    pSrc += 4u;
+    in = *pSrc++ >> 8;
+    sum += in;
+    sumOfSquares += ((q63_t) (in) * (in));
+    in = *pSrc++ >> 8;
+    sum += in;
+    sumOfSquares += ((q63_t) (in) * (in));
+    in = *pSrc++ >> 8;
+    sum += in;
+    sumOfSquares += ((q63_t) (in) * (in));
+    in = *pSrc++ >> 8;
+    sum += in;
+    sumOfSquares += ((q63_t) (in) * (in));
 
     /* Decrement the loop counter */
     blkCnt--;
   }
 
-  /* add two accumulators */
-  sumSquare = sumSquare + sumSquare1;
-
   /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
    ** No loop unrolling is used. */
   blkCnt = blockSize % 0x4u;
 
+  while(blkCnt > 0u)
+  {
+    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
+    /* Compute Sum of squares of the input samples    
+     * and then store the result in a temporary variable, sum. */
+    in = *pSrc++ >> 8;
+    sum += in;
+    sumOfSquares += ((q63_t) (in) * (in));
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Compute Mean of squares of the input samples    
+   * and then store the result in a temporary variable, meanOfSquares. */
+  meanOfSquares = sumOfSquares / (q63_t)(blockSize - 1);
+
 #else
 
   /* Run the below code for Cortex-M0 */
+
+  /* Loop over blockSize number of values */
   blkCnt = blockSize;
 
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
   while(blkCnt > 0u)
   {
     /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
-    /* Compute Sum of squares of the input samples        
-     * and then store the result in a temporary variable, sum. */
-    in = *pSrc++;
-    sumSquare += ((q63_t) (in) * (in));
+    /* Compute Sum of squares of the input samples     
+     * and then store the result in a temporary variable, sumOfSquares. */
+    in = *pSrc++ >> 8;
+    sumOfSquares += ((q63_t) (in) * (in));
+
+    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
+    /* Compute sum of all input values and then store the result in a temporary variable, sum. */
     sum += in;
 
     /* Decrement the loop counter */
     blkCnt--;
   }
 
-  t = (q31_t) ((1.0f / (float32_t) (blockSize - 1u)) * 1073741824.0f);
-
-  /* Compute Mean of squares of the input samples        
+  /* Compute Mean of squares of the input samples     
    * and then store the result in a temporary variable, meanOfSquares. */
-  sumSquare = (sumSquare >> 31);
-  meanOfSquares = (q31_t) ((sumSquare * t) >> 30);
+  meanOfSquares = sumOfSquares / (q63_t)(blockSize - 1);
 
-  /* Compute mean of all input values */
-  t = (q31_t) ((1.0f / (blockSize * (blockSize - 1u))) * 2147483648.0f);
-  mean = (q31_t) (sum);
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
 
   /* Compute square of mean */
-  squareOfMean = (q31_t) (((q63_t) mean * mean) >> 31);
-  squareOfMean = (q31_t) (((q63_t) squareOfMean * t) >> 31);
+  squareOfMean = sum * sum / (q63_t)(blockSize * (blockSize - 1u));
+
 
-  /* Compute variance and then store the result to the destination */
-  *pResult = (q63_t) meanOfSquares - squareOfMean;
+  /* Compute standard deviation and then store the result to the destination */
+  *pResult = (meanOfSquares - squareOfMean) >> 15;
 
 }
 

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/SupportFunctions/arm_copy_f32.c
--- a/cmsis_dsp/SupportFunctions/arm_copy_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/SupportFunctions/arm_copy_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_copy_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/SupportFunctions/arm_copy_q15.c
--- a/cmsis_dsp/SupportFunctions/arm_copy_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/SupportFunctions/arm_copy_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_copy_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/SupportFunctions/arm_copy_q31.c
--- a/cmsis_dsp/SupportFunctions/arm_copy_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/SupportFunctions/arm_copy_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_copy_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/SupportFunctions/arm_copy_q7.c
--- a/cmsis_dsp/SupportFunctions/arm_copy_q7.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/SupportFunctions/arm_copy_q7.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_copy_q7.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/SupportFunctions/arm_fill_f32.c
--- a/cmsis_dsp/SupportFunctions/arm_fill_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/SupportFunctions/arm_fill_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_fill_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/SupportFunctions/arm_fill_q15.c
--- a/cmsis_dsp/SupportFunctions/arm_fill_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/SupportFunctions/arm_fill_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_fill_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/SupportFunctions/arm_fill_q31.c
--- a/cmsis_dsp/SupportFunctions/arm_fill_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/SupportFunctions/arm_fill_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_fill_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/SupportFunctions/arm_fill_q7.c
--- a/cmsis_dsp/SupportFunctions/arm_fill_q7.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/SupportFunctions/arm_fill_q7.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_fill_q7.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/SupportFunctions/arm_float_to_q15.c
--- a/cmsis_dsp/SupportFunctions/arm_float_to_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/SupportFunctions/arm_float_to_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_float_to_q15.c    
@@ -104,22 +104,22 @@
     /* convert from float to q15 and then store the results in the destination buffer */
     in = *pIn++;
     in = (in * 32768.0f);
-    in += in > 0 ? 0.5 : -0.5;
+    in += in > 0.0f ? 0.5f : -0.5f;
     *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16));
 
     in = *pIn++;
     in = (in * 32768.0f);
-    in += in > 0 ? 0.5 : -0.5;
+    in += in > 0.0f ? 0.5f : -0.5f;
     *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16));
 
     in = *pIn++;
     in = (in * 32768.0f);
-    in += in > 0 ? 0.5 : -0.5;
+    in += in > 0.0f ? 0.5f : -0.5f;
     *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16));
 
     in = *pIn++;
     in = (in * 32768.0f);
-    in += in > 0 ? 0.5 : -0.5;
+    in += in > 0.0f ? 0.5f : -0.5f;
     *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16));
 
 #else
@@ -149,7 +149,7 @@
     /* convert from float to q15 and then store the results in the destination buffer */
     in = *pIn++;
     in = (in * 32768.0f);
-    in += in > 0 ? 0.5 : -0.5;
+    in += in > 0.0f ? 0.5f : -0.5f;
     *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16));
 
 #else

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/SupportFunctions/arm_float_to_q31.c
--- a/cmsis_dsp/SupportFunctions/arm_float_to_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/SupportFunctions/arm_float_to_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_float_to_q31.c    
@@ -109,22 +109,22 @@
     /* convert from float to Q31 and then store the results in the destination buffer */
     in = *pIn++;
     in = (in * 2147483648.0f);
-    in += in > 0 ? 0.5 : -0.5;
+    in += in > 0.0f ? 0.5f : -0.5f;
     *pDst++ = clip_q63_to_q31((q63_t) (in));
 
     in = *pIn++;
     in = (in * 2147483648.0f);
-    in += in > 0 ? 0.5 : -0.5;
+    in += in > 0.0f ? 0.5f : -0.5f;
     *pDst++ = clip_q63_to_q31((q63_t) (in));
 
     in = *pIn++;
     in = (in * 2147483648.0f);
-    in += in > 0 ? 0.5 : -0.5;
+    in += in > 0.0f ? 0.5f : -0.5f;
     *pDst++ = clip_q63_to_q31((q63_t) (in));
 
     in = *pIn++;
     in = (in * 2147483648.0f);
-    in += in > 0 ? 0.5 : -0.5;
+    in += in > 0.0f ? 0.5f : -0.5f;
     *pDst++ = clip_q63_to_q31((q63_t) (in));
 
 #else
@@ -155,7 +155,7 @@
     /* convert from float to Q31 and then store the results in the destination buffer */
     in = *pIn++;
     in = (in * 2147483648.0f);
-    in += in > 0 ? 0.5 : -0.5;
+    in += in > 0.0f ? 0.5f : -0.5f;
     *pDst++ = clip_q63_to_q31((q63_t) (in));
 
 #else

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/SupportFunctions/arm_float_to_q7.c
--- a/cmsis_dsp/SupportFunctions/arm_float_to_q7.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/SupportFunctions/arm_float_to_q7.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_float_to_q7.c    
@@ -103,22 +103,22 @@
     /* convert from float to q7 and then store the results in the destination buffer */
     in = *pIn++;
     in = (in * 128);
-    in += in > 0 ? 0.5 : -0.5;
+    in += in > 0.0f ? 0.5f : -0.5f;
     *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8));
 
     in = *pIn++;
     in = (in * 128);
-    in += in > 0 ? 0.5 : -0.5;
+    in += in > 0.0f ? 0.5f : -0.5f;
     *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8));
 
     in = *pIn++;
     in = (in * 128);
-    in += in > 0 ? 0.5 : -0.5;
+    in += in > 0.0f ? 0.5f : -0.5f;
     *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8));
 
     in = *pIn++;
     in = (in * 128);
-    in += in > 0 ? 0.5 : -0.5;
+    in += in > 0.0f ? 0.5f : -0.5f;
     *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8));
 
 #else
@@ -148,7 +148,7 @@
     /* convert from float to q7 and then store the results in the destination buffer */
     in = *pIn++;
     in = (in * 128);
-    in += in > 0 ? 0.5 : -0.5;
+    in += in > 0.0f ? 0.5f : -0.5f;
     *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8));
 
 #else

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/SupportFunctions/arm_q15_to_float.c
--- a/cmsis_dsp/SupportFunctions/arm_q15_to_float.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/SupportFunctions/arm_q15_to_float.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_q15_to_float.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/SupportFunctions/arm_q15_to_q31.c
--- a/cmsis_dsp/SupportFunctions/arm_q15_to_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/SupportFunctions/arm_q15_to_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_q15_to_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/SupportFunctions/arm_q15_to_q7.c
--- a/cmsis_dsp/SupportFunctions/arm_q15_to_q7.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/SupportFunctions/arm_q15_to_q7.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_q15_to_q7.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/SupportFunctions/arm_q31_to_float.c
--- a/cmsis_dsp/SupportFunctions/arm_q31_to_float.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/SupportFunctions/arm_q31_to_float.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_q31_to_float.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/SupportFunctions/arm_q31_to_q15.c
--- a/cmsis_dsp/SupportFunctions/arm_q31_to_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/SupportFunctions/arm_q31_to_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_q31_to_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/SupportFunctions/arm_q31_to_q7.c
--- a/cmsis_dsp/SupportFunctions/arm_q31_to_q7.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/SupportFunctions/arm_q31_to_q7.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_q31_to_q7.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/SupportFunctions/arm_q7_to_float.c
--- a/cmsis_dsp/SupportFunctions/arm_q7_to_float.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/SupportFunctions/arm_q7_to_float.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_q7_to_float.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/SupportFunctions/arm_q7_to_q15.c
--- a/cmsis_dsp/SupportFunctions/arm_q7_to_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/SupportFunctions/arm_q7_to_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_q7_to_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/SupportFunctions/arm_q7_to_q31.c
--- a/cmsis_dsp/SupportFunctions/arm_q7_to_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/SupportFunctions/arm_q7_to_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:		arm_q7_to_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/SupportFunctions/math_helper.c
--- a/cmsis_dsp/SupportFunctions/math_helper.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/SupportFunctions/math_helper.c	Fri Nov 20 08:45:18 2015 +0000
@@ -164,8 +164,7 @@
 uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples)
 {
   uint32_t i; 
-  int32_t diff;
-  uint32_t diffCrnt = 0;
+  int32_t diff, diffCrnt = 0;
   uint32_t maxDiff = 0;
 
   for (i = 0; i < numSamples; i++)
@@ -193,8 +192,7 @@
 uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t * pOut, uint32_t numSamples)
 {
   uint32_t i; 
-  int32_t diff;
-  uint32_t diffCrnt = 0;
+  int32_t diff, diffCrnt = 0;
   uint32_t maxDiff = 0;
 
   for (i = 0; i < numSamples; i++)

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/TransformFunctions/arm_bitreversal.c
--- a/cmsis_dsp/TransformFunctions/arm_bitreversal.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/TransformFunctions/arm_bitreversal.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013  
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_bitreversal.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/TransformFunctions/arm_bitreversal2.S
--- a/cmsis_dsp/TransformFunctions/arm_bitreversal2.S	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/TransformFunctions/arm_bitreversal2.S	Fri Nov 20 08:45:18 2015 +0000
@@ -1,27 +1,27 @@
-;/* ----------------------------------------------------------------------    
-;* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
-;*    
-;* $Date:        17. January 2013  
-;* $Revision: 	V1.4.1  
-;*    
-;* Project: 	    CMSIS DSP Library    
-;* Title:	    arm_bitreversal2.S   
-;*    
+;/* ----------------------------------------------------------------------
+;* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
+;*
+;* $Date:       19. March 2015 
+;* $Revision: 	V.1.4.5
+;*
+;* Project: 	CMSIS DSP Library
+;* Title:	    arm_bitreversal2.S
+;*
 ;* Description:	This is the arm_bitreversal_32 function done in
-;*                assembly for maximum speed.  This function is called
-;*                after doing an fft to reorder the output.  The function
-;*                is loop unrolled by 2.
-;*    
+;*              assembly for maximum speed.  This function is called
+;*              after doing an fft to reorder the output.  The function
+;*              is loop unrolled by 2. arm_bitreversal_16 as well.
+;*
 ;* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-;*  
-;* Redistribution and use in source and binary forms, with or without 
+;*
+;* Redistribution and use in source and binary forms, with or without
 ;* modification, are permitted provided that the following conditions
 ;* are met:
 ;*   - Redistributions of source code must retain the above copyright
 ;*     notice, this list of conditions and the following disclaimer.
 ;*   - Redistributions in binary form must reproduce the above copyright
 ;*     notice, this list of conditions and the following disclaimer in
-;*     the documentation and/or other materials provided with the 
+;*     the documentation and/or other materials provided with the
 ;*     distribution.
 ;*   - Neither the name of ARM LIMITED nor the names of its contributors
 ;*     may be used to endorse or promote products derived from this
@@ -30,7 +30,7 @@
 ;* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
 ;* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 ;* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-;* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+;* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
 ;* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
 ;* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
 ;* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
@@ -38,69 +38,100 @@
 ;* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
 ;* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
 ;* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-;* POSSIBILITY OF SUCH DAMAGE.   
+;* POSSIBILITY OF SUCH DAMAGE.
 ;* -------------------------------------------------------------------- */
-#if defined(__CC_ARM) //Keil
-	#define CODESECT AREA     ||.text||, CODE, READONLY, ALIGN=2
-	#define LABEL
-#elif defined(__IASMARM__) //IAR
-	#define CODESECT SECTION `.text`:CODE
-	#define PROC 
-	#define LABEL 
+#if defined(__CC_ARM)       // Keil
+    #define CODESECT AREA     ||.text||, CODE, READONLY, ALIGN=2
+    #define LABEL
+#elif defined(__IASMARM__)  // IAR
+    #define CODESECT SECTION `.text`:CODE
+    #define PROC
+    #define LABEL
+    #define ENDP
+    #define EXPORT PUBLIC
+#elif defined(__CSMC__)		/* Cosmic */
+	#define	CODESECT	switch .text
+	#define THUMB
+	#define EXPORT	xdef
+	#define PROC	:
+	#define LABEL	:
 	#define ENDP
-	#define EXPORT PUBLIC
-#elif defined (__GNUC__) //GCC
-	.syntax unified
-	.cpu cortex-m4
-	.fpu softvfp
-	#define THUMB .thumb
-	#define CODESECT .section text
-	#define EXPORT .global
-	#define PROC :
-	#define LABEL :
-	#define ENDP
-	#define END
+	#define arm_bitreversal_32 _arm_bitreversal_32
+#elif defined (__GNUC__)    // GCC
+    #define THUMB .thumb
+    #define CODESECT .section .text
+    #define EXPORT .global
+    #define PROC :
+    #define LABEL :
+    #define ENDP
+    #define END
+
+    .syntax unified
 #endif
 
 	CODESECT
 	THUMB
 
-;/*    
-;* @brief  In-place bit reversal function.   
-;* @param[in, out] *pSrc        points to the in-place buffer of unknown 32-bit data type. 
+;/*
+;* @brief  In-place bit reversal function.
+;* @param[in, out] *pSrc        points to the in-place buffer of unknown 32-bit data type.
 ;* @param[in]      bitRevLen    bit reversal table length
-;* @param[in]      *pBitRevTab  points to bit reversal table.   
-;* @return none.   
+;* @param[in]      *pBitRevTab  points to bit reversal table.
+;* @return none.
 ;*/
 	EXPORT arm_bitreversal_32
-   
+	EXPORT arm_bitreversal_16
+
 #if defined(ARM_MATH_CM0) || defined(ARM_MATH_CM0PLUS)
 
 arm_bitreversal_32 PROC
 	ADDS     r3,r1,#1
-	PUSH     {r4-r6}           
-	ADDS     r1,r2,#0          
-	LSRS     r3,r3,#1          
+	PUSH     {r4-r6}
+	ADDS     r1,r2,#0
+	LSRS     r3,r3,#1
 arm_bitreversal_32_0 LABEL
-	LDRH     r2,[r1,#2]        
-	LDRH     r6,[r1,#0]    
-	ADD      r2,r0,r2   
-	ADD      r6,r0,r6   
-	LDR      r5,[r2,#0] 
+	LDRH     r2,[r1,#2]
+	LDRH     r6,[r1,#0]
+	ADD      r2,r0,r2
+	ADD      r6,r0,r6
+	LDR      r5,[r2,#0]
 	LDR      r4,[r6,#0]
 	STR      r5,[r6,#0]
-	STR      r4,[r2,#0]    
-	LDR      r5,[r2,#4]        
-	LDR      r4,[r6,#4]       
-	STR      r5,[r6,#4]       
-	STR      r4,[r2,#4]        
-	ADDS     r1,r1,#4          
-	SUBS     r3,r3,#1          
+	STR      r4,[r2,#0]
+	LDR      r5,[r2,#4]
+	LDR      r4,[r6,#4]
+	STR      r5,[r6,#4]
+	STR      r4,[r2,#4]
+	ADDS     r1,r1,#4
+	SUBS     r3,r3,#1
 	BNE      arm_bitreversal_32_0
 	POP      {r4-r6}
 	BX       lr
 	ENDP
 
+arm_bitreversal_16 PROC
+	ADDS     r3,r1,#1
+	PUSH     {r4-r6}
+	ADDS     r1,r2,#0
+	LSRS     r3,r3,#1
+arm_bitreversal_16_0 LABEL
+	LDRH     r2,[r1,#2]
+	LDRH     r6,[r1,#0]
+    LSRS     r2,r2,#1
+    LSRS     r6,r6,#1
+	ADD      r2,r0,r2
+	ADD      r6,r0,r6
+	LDR      r5,[r2,#0]
+	LDR      r4,[r6,#0]
+	STR      r5,[r6,#0]
+	STR      r4,[r2,#0]
+	ADDS     r1,r1,#4
+	SUBS     r3,r3,#1
+	BNE      arm_bitreversal_16_0
+	POP      {r4-r6}
+	BX       lr
+	ENDP
+
 #else
 
 arm_bitreversal_32 PROC
@@ -108,41 +139,73 @@
 	CMP      r3,#1
 	IT       LS
 	BXLS     lr
-	PUSH     {r4-r9}           
-	ADDS     r1,r2,#2          
-	LSRS     r3,r3,#2          
+	PUSH     {r4-r9}
+	ADDS     r1,r2,#2
+	LSRS     r3,r3,#2
 arm_bitreversal_32_0 LABEL       ;/* loop unrolled by 2 */
-	LDRH     r8,[r1,#4]        
-	LDRH     r9,[r1,#2]  
-	LDRH     r2,[r1,#0]        
-	LDRH     r12,[r1,#-2]    
-	ADD      r8,r0,r8   
-	ADD      r9,r0,r9    
-	ADD      r2,r0,r2   
-	ADD      r12,r0,r12   
-	LDR      r7,[r9,#0] 
+	LDRH     r8,[r1,#4]
+	LDRH     r9,[r1,#2]
+	LDRH     r2,[r1,#0]
+	LDRH     r12,[r1,#-2]
+	ADD      r8,r0,r8
+	ADD      r9,r0,r9
+	ADD      r2,r0,r2
+	ADD      r12,r0,r12
+	LDR      r7,[r9,#0]
 	LDR      r6,[r8,#0]
-	LDR      r5,[r2,#0] 
+	LDR      r5,[r2,#0]
 	LDR      r4,[r12,#0]
 	STR      r6,[r9,#0]
-	STR      r7,[r8,#0] 
+	STR      r7,[r8,#0]
 	STR      r5,[r12,#0]
-	STR      r4,[r2,#0]      
-	LDR      r7,[r9,#4]        
-	LDR      r6,[r8,#4] 
-	LDR      r5,[r2,#4]        
-	LDR      r4,[r12,#4]           
-	STR      r6,[r9,#4]       
-	STR      r7,[r8,#4]   
-	STR      r5,[r12,#4]       
-	STR      r4,[r2,#4]        
-	ADDS     r1,r1,#8          
-	SUBS     r3,r3,#1          
+	STR      r4,[r2,#0]
+	LDR      r7,[r9,#4]
+	LDR      r6,[r8,#4]
+	LDR      r5,[r2,#4]
+	LDR      r4,[r12,#4]
+	STR      r6,[r9,#4]
+	STR      r7,[r8,#4]
+	STR      r5,[r12,#4]
+	STR      r4,[r2,#4]
+	ADDS     r1,r1,#8
+	SUBS     r3,r3,#1
 	BNE      arm_bitreversal_32_0
 	POP      {r4-r9}
 	BX       lr
 	ENDP
-   
+
+arm_bitreversal_16 PROC
+	ADDS     r3,r1,#1
+	CMP      r3,#1
+	IT       LS
+	BXLS     lr
+	PUSH     {r4-r9}
+	ADDS     r1,r2,#2
+	LSRS     r3,r3,#2
+arm_bitreversal_16_0 LABEL       ;/* loop unrolled by 2 */
+	LDRH     r8,[r1,#4]
+	LDRH     r9,[r1,#2]
+	LDRH     r2,[r1,#0]
+	LDRH     r12,[r1,#-2]
+	ADD      r8,r0,r8,LSR #1
+	ADD      r9,r0,r9,LSR #1
+	ADD      r2,r0,r2,LSR #1
+	ADD      r12,r0,r12,LSR #1
+	LDR      r7,[r9,#0]
+	LDR      r6,[r8,#0]
+	LDR      r5,[r2,#0]
+	LDR      r4,[r12,#0]
+	STR      r6,[r9,#0]
+	STR      r7,[r8,#0]
+	STR      r5,[r12,#0]
+	STR      r4,[r2,#0]
+	ADDS     r1,r1,#8
+	SUBS     r3,r3,#1
+	BNE      arm_bitreversal_16_0
+	POP      {r4-r9}
+	BX       lr
+	ENDP
+
 #endif
-   
+
 	END

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/TransformFunctions/arm_cfft_f32.c
--- a/cmsis_dsp/TransformFunctions/arm_cfft_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/TransformFunctions/arm_cfft_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013  
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_cfft_f32.c   
@@ -38,20 +38,19 @@
 * POSSIBILITY OF SUCH DAMAGE.   
 * -------------------------------------------------------------------- */
 
-
 #include "arm_math.h"
 #include "arm_common_tables.h"
 
 extern void arm_radix8_butterfly_f32(
-  float32_t * pSrc,
-  uint16_t fftLen,
-  const float32_t * pCoef,
-  uint16_t twidCoefModifier);
+    float32_t * pSrc,
+    uint16_t fftLen,
+    const float32_t * pCoef,
+    uint16_t twidCoefModifier);
 
 extern void arm_bitreversal_32(
-		uint32_t * pSrc,
-		const uint16_t bitRevLen,
-		const uint16_t * pBitRevTable);
+    uint32_t * pSrc,
+    const uint16_t bitRevLen,
+    const uint16_t * pBitRevTable);
 
 /**   
 * @ingroup groupTransforms   
@@ -89,7 +88,7 @@
 * inverse transform includes a scale of <code>1/fftLen</code> as part of the
 * calculation and this matches the textbook definition of the inverse FFT.
 * \par
-* Preinitialized data structures containing twiddle factors and bit reversal
+* Pre-initialized data structures containing twiddle factors and bit reversal
 * tables are provided and defined in <code>arm_const_structs.h</code>.  Include 
 * this header in your function and then pass one of the constant structures as 
 * an argument to arm_cfft_f32.  For example:
@@ -107,442 +106,454 @@
 * than the new functions.
 * \par
 * An example of initialization of the constants for the arm_cfft_f32 function follows:
-* \par
+* \code
 * const static arm_cfft_instance_f32 *S;
 * ...
-*		switch (length) {
-*    		case 16:
-*    			S = & arm_cfft_sR_f32_len16;
-*    		break;
-*    		case 32:
-*    			S = & arm_cfft_sR_f32_len32;
-*    		break;
-*			case 64:
-*    			S = & arm_cfft_sR_f32_len64;
-*    		break;
-*    		case 128:
-*    			S = & arm_cfft_sR_f32_len128;
-*    		break;
-*    		case 256:
-*    			S = & arm_cfft_sR_f32_len256;
-*    		break;
-*    		case 512:
-*    			S = & arm_cfft_sR_f32_len512;
-*    		break;
-*    		case 1024:
-*    			S = & arm_cfft_sR_f32_len1024;
-*    		break;
-*    		case 2048:
-*    			S = & arm_cfft_sR_f32_len2048;
-*    		break;
-*    		case 4096:
-*    			S = & arm_cfft_sR_f32_len4096;
-*    		break;
-*			}
+*   switch (length) {
+*     case 16:
+*       S = &arm_cfft_sR_f32_len16;
+*       break;
+*     case 32:
+*       S = &arm_cfft_sR_f32_len32;
+*       break;
+*     case 64:
+*       S = &arm_cfft_sR_f32_len64;
+*       break;
+*     case 128:
+*       S = &arm_cfft_sR_f32_len128;
+*       break;
+*     case 256:
+*       S = &arm_cfft_sR_f32_len256;
+*       break;
+*     case 512:
+*       S = &arm_cfft_sR_f32_len512;
+*       break;
+*     case 1024:
+*       S = &arm_cfft_sR_f32_len1024;
+*       break;
+*     case 2048:
+*       S = &arm_cfft_sR_f32_len2048;
+*       break;
+*     case 4096:
+*       S = &arm_cfft_sR_f32_len4096;
+*       break;
+*   }
+* \endcode
 * \par Q15 and Q31
-* The library provides radix-2 and radix-4 FFT algorithms for fixed-point data.  The
-* radix-2 algorithm supports lengths of [16, 32, 64, ..., 4096].  The radix-4
-* algorithm supports lengths of [16, 64, 256, ..., 4096].  When possible, you
-* should use the radix-4 algorithm since it is faster than the radix-2 of the
-* same length.
+* The floating-point complex FFT uses a mixed-radix algorithm.  Multiple radix-4
+* stages are performed along with a single radix-2 stage, as needed.
+* The algorithm supports lengths of [16, 32, 64, ..., 4096] and each length uses
+* a different twiddle factor table.  
+* \par
+* The function uses the standard FFT definition and output values may grow by a
+* factor of <code>fftLen</code> when computing the forward transform.  The
+* inverse transform includes a scale of <code>1/fftLen</code> as part of the
+* calculation and this matches the textbook definition of the inverse FFT.
+* \par
+* Pre-initialized data structures containing twiddle factors and bit reversal
+* tables are provided and defined in <code>arm_const_structs.h</code>.  Include 
+* this header in your function and then pass one of the constant structures as 
+* an argument to arm_cfft_q31.  For example:
 * \par
-* The forward FFTs include scaling in order to prevent results from overflowing.
-* Intermediate results are scaled down during each butterfly stage.  In the
-* radix-2 algorithm, a scale of 0.5 is applied during each butterfly.  In the
-* radix-4 algorithm, a scale of 0.25 is applied.  The scaling applies to both
-* the forward and the inverse FFTs.  Thus the forward FFT contains an additional
-* scale factor of <code>1/fftLen</code> as compared to the standard textbook
-* definition of the FFT.  The inverse FFT also scales down during each butterfly
-* stage and this corresponds to the standard textbook definition.
+* <code>arm_cfft_q31(arm_cfft_sR_q31_len64, pSrc, 1, 1)</code>
+* \par
+* computes a 64-point inverse complex FFT including bit reversal.
+* The data structures are treated as constant data and not modified during the
+* calculation.  The same data structure can be reused for multiple transforms
+* including mixing forward and inverse transforms.
+* \par
+* Earlier releases of the library provided separate radix-2 and radix-4
+* algorithms that operated on floating-point data.  These functions are still
+* provided but are deprecated.  The older functions are slower and less general
+* than the new functions.
 * \par
-* A separate instance structure must be defined for each transform used but
-* twiddle factor and bit reversal tables can be reused.
-* \par 
-* There is also an associated initialization function for each data type.   
-* The initialization function performs the following operations:   
-* - Sets the values of the internal structure fields.   
-* - Initializes twiddle factor table and bit reversal table pointers.
-* \par   
-* Use of the initialization function is optional.   
-* However, if the initialization function is used, then the instance structure 
-* cannot be placed into a const data section. To place an instance structure 
-* into a const data section, the instance structure should be manually 
-* initialized as follows:
-* <pre>   
-*arm_cfft_radix2_instance_q31 S = {fftLen, ifftFlag, bitReverseFlag, pTwiddle, pBitRevTable, twidCoefModifier, bitRevFactor};   
-*arm_cfft_radix2_instance_q15 S = {fftLen, ifftFlag, bitReverseFlag, pTwiddle, pBitRevTable, twidCoefModifier, bitRevFactor};   
-*arm_cfft_radix4_instance_q31 S = {fftLen, ifftFlag, bitReverseFlag, pTwiddle, pBitRevTable, twidCoefModifier, bitRevFactor};    
-*arm_cfft_radix4_instance_q15 S = {fftLen, ifftFlag, bitReverseFlag, pTwiddle, pBitRevTable, twidCoefModifier, bitRevFactor};    
-*arm_cfft_instance_f32 S = {fftLen, pTwiddle, pBitRevTable, bitRevLength};
-* </pre>   
-* \par   
-* where <code>fftLen</code> length of CFFT/CIFFT; <code>ifftFlag</code> Flag for
-* selection of forward or inverse transform.  When ifftFlag is set the inverse
-* transform is calculated.
-* <code>bitReverseFlag</code> Flag for selection of output order (Set bitReverseFlag to output in normal order otherwise output in bit reversed order);    
-* <code>pTwiddle</code>points to array of twiddle coefficients; <code>pBitRevTable</code> points to the bit reversal table.   
-* <code>twidCoefModifier</code> modifier for twiddle factor table which supports all FFT lengths with same table;    
-* <code>pBitRevTable</code> modifier for bit reversal table which supports all FFT lengths with same table.   
-* <code>onebyfftLen</code> value of 1/fftLen to calculate CIFFT;
-* \par
-* The Q15 and Q31 FFT functions use a large bit reversal and twiddle factor
-* table.  The tables are defined for the maximum length transform and a subset
-* of the coefficients are used in shorter transforms.
+* An example of initialization of the constants for the arm_cfft_q31 function follows:
+* \code
+* const static arm_cfft_instance_q31 *S;
+* ...
+*   switch (length) {
+*     case 16:
+*       S = &arm_cfft_sR_q31_len16;
+*       break;
+*     case 32:
+*       S = &arm_cfft_sR_q31_len32;
+*       break;
+*     case 64:
+*       S = &arm_cfft_sR_q31_len64;
+*       break;
+*     case 128:
+*       S = &arm_cfft_sR_q31_len128;
+*       break;
+*     case 256:
+*       S = &arm_cfft_sR_q31_len256;
+*       break;
+*     case 512:
+*       S = &arm_cfft_sR_q31_len512;
+*       break;
+*     case 1024:
+*       S = &arm_cfft_sR_q31_len1024;
+*       break;
+*     case 2048:
+*       S = &arm_cfft_sR_q31_len2048;
+*       break;
+*     case 4096:
+*       S = &arm_cfft_sR_q31_len4096;
+*       break;
+*   }
+* \endcode
 * 
 */
 
 void arm_cfft_radix8by2_f32( arm_cfft_instance_f32 * S, float32_t * p1) 
 {
-   uint32_t    L  = S->fftLen;
-   float32_t * pCol1, * pCol2, * pMid1, * pMid2;
-   float32_t * p2 = p1 + L;
-   const float32_t * tw = (float32_t *) S->pTwiddle;
-   float32_t t1[4], t2[4], t3[4], t4[4], twR, twI;
-   float32_t m0, m1, m2, m3;
-   uint32_t l;
+    uint32_t    L  = S->fftLen;
+    float32_t * pCol1, * pCol2, * pMid1, * pMid2;
+    float32_t * p2 = p1 + L;
+    const float32_t * tw = (float32_t *) S->pTwiddle;
+    float32_t t1[4], t2[4], t3[4], t4[4], twR, twI;
+    float32_t m0, m1, m2, m3;
+    uint32_t l;
 
-   pCol1 = p1;
-   pCol2 = p2;
+    pCol1 = p1;
+    pCol2 = p2;
 
-   //    Define new length
-   L >>= 1;
-   //    Initialize mid pointers
-   pMid1 = p1 + L;
-   pMid2 = p2 + L;
+    //    Define new length
+    L >>= 1;
+    //    Initialize mid pointers
+    pMid1 = p1 + L;
+    pMid2 = p2 + L;
 
-   // do two dot Fourier transform
-   for ( l = L >> 2; l > 0; l-- ) 
-   {
-      t1[0] = p1[0];
-      t1[1] = p1[1];
-      t1[2] = p1[2];
-      t1[3] = p1[3];
+    // do two dot Fourier transform
+    for ( l = L >> 2; l > 0; l-- ) 
+    {
+        t1[0] = p1[0];
+        t1[1] = p1[1];
+        t1[2] = p1[2];
+        t1[3] = p1[3];
 
-      t2[0] = p2[0];
-      t2[1] = p2[1];
-      t2[2] = p2[2];
-      t2[3] = p2[3];
+        t2[0] = p2[0];
+        t2[1] = p2[1];
+        t2[2] = p2[2];
+        t2[3] = p2[3];
 
-      t3[0] = pMid1[0];
-      t3[1] = pMid1[1];
-      t3[2] = pMid1[2];
-      t3[3] = pMid1[3];
-
-      t4[0] = pMid2[0];
-      t4[1] = pMid2[1];
-      t4[2] = pMid2[2];
-      t4[3] = pMid2[3];
+        t3[0] = pMid1[0];
+        t3[1] = pMid1[1];
+        t3[2] = pMid1[2];
+        t3[3] = pMid1[3];
 
-      *p1++ = t1[0] + t2[0];
-      *p1++ = t1[1] + t2[1];
-      *p1++ = t1[2] + t2[2];
-      *p1++ = t1[3] + t2[3];    // col 1
+        t4[0] = pMid2[0];
+        t4[1] = pMid2[1];
+        t4[2] = pMid2[2];
+        t4[3] = pMid2[3];
 
-      t2[0] = t1[0] - t2[0];
-      t2[1] = t1[1] - t2[1];
-      t2[2] = t1[2] - t2[2];
-      t2[3] = t1[3] - t2[3];    // for col 2
+        *p1++ = t1[0] + t2[0];
+        *p1++ = t1[1] + t2[1];
+        *p1++ = t1[2] + t2[2];
+        *p1++ = t1[3] + t2[3];    // col 1
 
-      *pMid1++ = t3[0] + t4[0];
-      *pMid1++ = t3[1] + t4[1];
-      *pMid1++ = t3[2] + t4[2];
-      *pMid1++ = t3[3] + t4[3]; // col 1
+        t2[0] = t1[0] - t2[0];
+        t2[1] = t1[1] - t2[1];
+        t2[2] = t1[2] - t2[2];
+        t2[3] = t1[3] - t2[3];    // for col 2
 
-      t4[0] = t4[0] - t3[0];
-      t4[1] = t4[1] - t3[1];
-      t4[2] = t4[2] - t3[2];
-      t4[3] = t4[3] - t3[3];    // for col 2
+        *pMid1++ = t3[0] + t4[0];
+        *pMid1++ = t3[1] + t4[1];
+        *pMid1++ = t3[2] + t4[2];
+        *pMid1++ = t3[3] + t4[3]; // col 1
 
-      twR = *tw++;
-      twI = *tw++;
+        t4[0] = t4[0] - t3[0];
+        t4[1] = t4[1] - t3[1];
+        t4[2] = t4[2] - t3[2];
+        t4[3] = t4[3] - t3[3];    // for col 2
+
+        twR = *tw++;
+        twI = *tw++;
 
-      // multiply by twiddle factors
-      m0 = t2[0] * twR;
-      m1 = t2[1] * twI;
-      m2 = t2[1] * twR;
-      m3 = t2[0] * twI;
-      
-      // R  =  R  *  Tr - I * Ti
-      *p2++ = m0 + m1;
-      // I  =  I  *  Tr + R * Ti
-      *p2++ = m2 - m3;
-      
-      // use vertical symmetry
-	  //  0.9988 - 0.0491i <==> -0.0491 - 0.9988i
-      m0 = t4[0] * twI;
-      m1 = t4[1] * twR;
-      m2 = t4[1] * twI;
-      m3 = t4[0] * twR;
-      
-      *pMid2++ = m0 - m1;
-      *pMid2++ = m2 + m3;
+        // multiply by twiddle factors
+        m0 = t2[0] * twR;
+        m1 = t2[1] * twI;
+        m2 = t2[1] * twR;
+        m3 = t2[0] * twI;
+        
+        // R  =  R  *  Tr - I * Ti
+        *p2++ = m0 + m1;
+        // I  =  I  *  Tr + R * Ti
+        *p2++ = m2 - m3;
+        
+        // use vertical symmetry
+        //  0.9988 - 0.0491i <==> -0.0491 - 0.9988i
+        m0 = t4[0] * twI;
+        m1 = t4[1] * twR;
+        m2 = t4[1] * twI;
+        m3 = t4[0] * twR;
+        
+        *pMid2++ = m0 - m1;
+        *pMid2++ = m2 + m3;
 
-      twR = *tw++;
-      twI = *tw++;
-      
-      m0 = t2[2] * twR;
-      m1 = t2[3] * twI;
-      m2 = t2[3] * twR;
-      m3 = t2[2] * twI;
-      
-      *p2++ = m0 + m1;
-      *p2++ = m2 - m3;
-         
-      m0 = t4[2] * twI;
-      m1 = t4[3] * twR;
-      m2 = t4[3] * twI;
-      m3 = t4[2] * twR;
-      
-      *pMid2++ = m0 - m1;
-      *pMid2++ = m2 + m3;
-   }
+        twR = *tw++;
+        twI = *tw++;
+        
+        m0 = t2[2] * twR;
+        m1 = t2[3] * twI;
+        m2 = t2[3] * twR;
+        m3 = t2[2] * twI;
+        
+        *p2++ = m0 + m1;
+        *p2++ = m2 - m3;
+        
+        m0 = t4[2] * twI;
+        m1 = t4[3] * twR;
+        m2 = t4[3] * twI;
+        m3 = t4[2] * twR;
+        
+        *pMid2++ = m0 - m1;
+        *pMid2++ = m2 + m3;
+    }
 
-   // first col
-   arm_radix8_butterfly_f32( pCol1, L, (float32_t *) S->pTwiddle, 2u);
-   // second col
-   arm_radix8_butterfly_f32( pCol2, L, (float32_t *) S->pTwiddle, 2u);
-   
+    // first col
+    arm_radix8_butterfly_f32( pCol1, L, (float32_t *) S->pTwiddle, 2u);
+    // second col
+    arm_radix8_butterfly_f32( pCol2, L, (float32_t *) S->pTwiddle, 2u);
 }
 
 void arm_cfft_radix8by4_f32( arm_cfft_instance_f32 * S, float32_t * p1) 
 {
-   uint32_t    L  = S->fftLen >> 1;
-   float32_t * pCol1, *pCol2, *pCol3, *pCol4, *pEnd1, *pEnd2, *pEnd3, *pEnd4;
-	const float32_t *tw2, *tw3, *tw4;
-   float32_t * p2 = p1 + L;
-   float32_t * p3 = p2 + L;
-   float32_t * p4 = p3 + L;
-   float32_t t2[4], t3[4], t4[4], twR, twI;
-   float32_t p1ap3_0, p1sp3_0, p1ap3_1, p1sp3_1;
-   float32_t m0, m1, m2, m3;
-   uint32_t l, twMod2, twMod3, twMod4;
+    uint32_t    L  = S->fftLen >> 1;
+    float32_t * pCol1, *pCol2, *pCol3, *pCol4, *pEnd1, *pEnd2, *pEnd3, *pEnd4;
+    const float32_t *tw2, *tw3, *tw4;
+    float32_t * p2 = p1 + L;
+    float32_t * p3 = p2 + L;
+    float32_t * p4 = p3 + L;
+    float32_t t2[4], t3[4], t4[4], twR, twI;
+    float32_t p1ap3_0, p1sp3_0, p1ap3_1, p1sp3_1;
+    float32_t m0, m1, m2, m3;
+    uint32_t l, twMod2, twMod3, twMod4;
 
-   pCol1 = p1;         // points to real values by default
-   pCol2 = p2;
-   pCol3 = p3;
-   pCol4 = p4;
-   pEnd1 = p2 - 1;     // points to imaginary values by default
-   pEnd2 = p3 - 1;
-   pEnd3 = p4 - 1;
-   pEnd4 = pEnd3 + L;
-   
-   tw2 = tw3 = tw4 = (float32_t *) S->pTwiddle;
-   
-   L >>= 1;
+    pCol1 = p1;         // points to real values by default
+    pCol2 = p2;
+    pCol3 = p3;
+    pCol4 = p4;
+    pEnd1 = p2 - 1;     // points to imaginary values by default
+    pEnd2 = p3 - 1;
+    pEnd3 = p4 - 1;
+    pEnd4 = pEnd3 + L;
+
+    tw2 = tw3 = tw4 = (float32_t *) S->pTwiddle;
+
+    L >>= 1;
 
-   // do four dot Fourier transform
+    // do four dot Fourier transform
 
-   twMod2 = 2;
-   twMod3 = 4;
-   twMod4 = 6;
+    twMod2 = 2;
+    twMod3 = 4;
+    twMod4 = 6;
 
-   // TOP
-   p1ap3_0 = p1[0] + p3[0];
-   p1sp3_0 = p1[0] - p3[0];
-   p1ap3_1 = p1[1] + p3[1];
-   p1sp3_1 = p1[1] - p3[1];
+    // TOP
+    p1ap3_0 = p1[0] + p3[0];
+    p1sp3_0 = p1[0] - p3[0];
+    p1ap3_1 = p1[1] + p3[1];
+    p1sp3_1 = p1[1] - p3[1];
 
-   // col 2
-   t2[0] = p1sp3_0 + p2[1] - p4[1];
-   t2[1] = p1sp3_1 - p2[0] + p4[0];
-   // col 3
-   t3[0] = p1ap3_0 - p2[0] - p4[0];
-   t3[1] = p1ap3_1 - p2[1] - p4[1];
-   // col 4
-   t4[0] = p1sp3_0 - p2[1] + p4[1];
-   t4[1] = p1sp3_1 + p2[0] - p4[0];
-   // col 1
-   *p1++ = p1ap3_0 + p2[0] + p4[0];
-   *p1++ = p1ap3_1 + p2[1] + p4[1];
+    // col 2
+    t2[0] = p1sp3_0 + p2[1] - p4[1];
+    t2[1] = p1sp3_1 - p2[0] + p4[0];
+    // col 3
+    t3[0] = p1ap3_0 - p2[0] - p4[0];
+    t3[1] = p1ap3_1 - p2[1] - p4[1];
+    // col 4
+    t4[0] = p1sp3_0 - p2[1] + p4[1];
+    t4[1] = p1sp3_1 + p2[0] - p4[0];
+    // col 1
+    *p1++ = p1ap3_0 + p2[0] + p4[0];
+    *p1++ = p1ap3_1 + p2[1] + p4[1];
 
-   // Twiddle factors are ones
-   *p2++ = t2[0];
-   *p2++ = t2[1];
-   *p3++ = t3[0];
-   *p3++ = t3[1];
-   *p4++ = t4[0];
-   *p4++ = t4[1];
-   
-   tw2 += twMod2;
-   tw3 += twMod3;
-   tw4 += twMod4;
-   
-   for (l = (L - 2) >> 1; l > 0; l-- ) 
-   {
+    // Twiddle factors are ones
+    *p2++ = t2[0];
+    *p2++ = t2[1];
+    *p3++ = t3[0];
+    *p3++ = t3[1];
+    *p4++ = t4[0];
+    *p4++ = t4[1];
+
+    tw2 += twMod2;
+    tw3 += twMod3;
+    tw4 += twMod4;
 
-      // TOP
-      p1ap3_0 = p1[0] + p3[0];
-      p1sp3_0 = p1[0] - p3[0];
-      p1ap3_1 = p1[1] + p3[1];
-      p1sp3_1 = p1[1] - p3[1];
-      // col 2
-      t2[0] = p1sp3_0 + p2[1] - p4[1];
-      t2[1] = p1sp3_1 - p2[0] + p4[0];
-      // col 3
-      t3[0] = p1ap3_0 - p2[0] - p4[0];
-      t3[1] = p1ap3_1 - p2[1] - p4[1];
-      // col 4
-      t4[0] = p1sp3_0 - p2[1] + p4[1];
-      t4[1] = p1sp3_1 + p2[0] - p4[0];
-      // col 1 - top
-      *p1++ = p1ap3_0 + p2[0] + p4[0];
-      *p1++ = p1ap3_1 + p2[1] + p4[1];
+    for (l = (L - 2) >> 1; l > 0; l-- ) 
+    {
+        // TOP
+        p1ap3_0 = p1[0] + p3[0];
+        p1sp3_0 = p1[0] - p3[0];
+        p1ap3_1 = p1[1] + p3[1];
+        p1sp3_1 = p1[1] - p3[1];
+        // col 2
+        t2[0] = p1sp3_0 + p2[1] - p4[1];
+        t2[1] = p1sp3_1 - p2[0] + p4[0];
+        // col 3
+        t3[0] = p1ap3_0 - p2[0] - p4[0];
+        t3[1] = p1ap3_1 - p2[1] - p4[1];
+        // col 4
+        t4[0] = p1sp3_0 - p2[1] + p4[1];
+        t4[1] = p1sp3_1 + p2[0] - p4[0];
+        // col 1 - top
+        *p1++ = p1ap3_0 + p2[0] + p4[0];
+        *p1++ = p1ap3_1 + p2[1] + p4[1];
 
-      // BOTTOM
-      p1ap3_1 = pEnd1[-1] + pEnd3[-1];
-      p1sp3_1 = pEnd1[-1] - pEnd3[-1];
-      p1ap3_0 = pEnd1[0] + pEnd3[0];
-      p1sp3_0 = pEnd1[0] - pEnd3[0];
-      // col 2
-      t2[2] = pEnd2[0]  - pEnd4[0] + p1sp3_1;
-      t2[3] = pEnd1[0] - pEnd3[0] - pEnd2[-1] + pEnd4[-1];
-      // col 3
-      t3[2] = p1ap3_1 - pEnd2[-1] - pEnd4[-1];
-      t3[3] = p1ap3_0 - pEnd2[0]  - pEnd4[0];
-      // col 4
-      t4[2] = pEnd2[0]  - pEnd4[0]  - p1sp3_1;
-      t4[3] = pEnd4[-1] - pEnd2[-1] - p1sp3_0;
-      // col 1 - Bottom
-      *pEnd1-- = p1ap3_0 + pEnd2[0] + pEnd4[0];
-      *pEnd1-- = p1ap3_1 + pEnd2[-1] + pEnd4[-1];
+        // BOTTOM
+        p1ap3_1 = pEnd1[-1] + pEnd3[-1];
+        p1sp3_1 = pEnd1[-1] - pEnd3[-1];
+        p1ap3_0 = pEnd1[0] + pEnd3[0];
+        p1sp3_0 = pEnd1[0] - pEnd3[0];
+        // col 2
+        t2[2] = pEnd2[0]  - pEnd4[0] + p1sp3_1;
+        t2[3] = pEnd1[0] - pEnd3[0] - pEnd2[-1] + pEnd4[-1];
+        // col 3
+        t3[2] = p1ap3_1 - pEnd2[-1] - pEnd4[-1];
+        t3[3] = p1ap3_0 - pEnd2[0]  - pEnd4[0];
+        // col 4
+        t4[2] = pEnd2[0]  - pEnd4[0]  - p1sp3_1;
+        t4[3] = pEnd4[-1] - pEnd2[-1] - p1sp3_0;
+        // col 1 - Bottom
+        *pEnd1-- = p1ap3_0 + pEnd2[0] + pEnd4[0];
+        *pEnd1-- = p1ap3_1 + pEnd2[-1] + pEnd4[-1];
 
-      // COL 2
-      // read twiddle factors
-      twR = *tw2++;
-      twI = *tw2++;
-      // multiply by twiddle factors
-      //  let    Z1 = a + i(b),   Z2 = c + i(d)
-      //   =>  Z1 * Z2  =  (a*c - b*d) + i(b*c + a*d)
-      // Top
-      m0 = t2[0] * twR;
-      m1 = t2[1] * twI;
-      m2 = t2[1] * twR;
-      m3 = t2[0] * twI;
-      
-      *p2++ = m0 + m1;
-      *p2++ = m2 - m3;
-      // use vertical symmetry col 2
-      // 0.9997 - 0.0245i  <==>  0.0245 - 0.9997i
-      // Bottom
-      m0 = t2[3] * twI;
-      m1 = t2[2] * twR;
-      m2 = t2[2] * twI;
-      m3 = t2[3] * twR;
-      
-      *pEnd2-- = m0 - m1;
-      *pEnd2-- = m2 + m3;
+        // COL 2
+        // read twiddle factors
+        twR = *tw2++;
+        twI = *tw2++;
+        // multiply by twiddle factors
+        //  let    Z1 = a + i(b),   Z2 = c + i(d)
+        //   =>  Z1 * Z2  =  (a*c - b*d) + i(b*c + a*d)
+        
+        // Top
+        m0 = t2[0] * twR;
+        m1 = t2[1] * twI;
+        m2 = t2[1] * twR;
+        m3 = t2[0] * twI;
+        
+        *p2++ = m0 + m1;
+        *p2++ = m2 - m3;
+        // use vertical symmetry col 2
+        // 0.9997 - 0.0245i  <==>  0.0245 - 0.9997i
+        // Bottom
+        m0 = t2[3] * twI;
+        m1 = t2[2] * twR;
+        m2 = t2[2] * twI;
+        m3 = t2[3] * twR;
+        
+        *pEnd2-- = m0 - m1;
+        *pEnd2-- = m2 + m3;
 
-      // COL 3
-      twR = tw3[0];
-      twI = tw3[1];
-      tw3 += twMod3;
-      // Top
-      m0 = t3[0] * twR;
-      m1 = t3[1] * twI;
-      m2 = t3[1] * twR;
-      m3 = t3[0] * twI;
-      
-      *p3++ = m0 + m1;
-      *p3++ = m2 - m3;
-      // use vertical symmetry col 3
-      // 0.9988 - 0.0491i  <==>  -0.9988 - 0.0491i
-      // Bottom
-      m0 = -t3[3] * twR;
-      m1 = t3[2] * twI;
-      m2 = t3[2] * twR;
-      m3 = t3[3] * twI;
-      
-      *pEnd3-- = m0 - m1;
-      *pEnd3-- = m3 - m2;
-      
-      // COL 4
-      twR = tw4[0];
-      twI = tw4[1];
-      tw4 += twMod4;
-      // Top
-      m0 = t4[0] * twR;
-      m1 = t4[1] * twI;
-      m2 = t4[1] * twR;
-      m3 = t4[0] * twI;
-      
-      *p4++ = m0 + m1;
-      *p4++ = m2 - m3;
-      // use vertical symmetry col 4
-      // 0.9973 - 0.0736i  <==>  -0.0736 + 0.9973i
-      // Bottom
-      m0 = t4[3] * twI;
-      m1 = t4[2] * twR;
-      m2 = t4[2] * twI;
-      m3 = t4[3] * twR;
-      
-      *pEnd4-- = m0 - m1;
-      *pEnd4-- = m2 + m3;
-   }
+        // COL 3
+        twR = tw3[0];
+        twI = tw3[1];
+        tw3 += twMod3;
+        // Top
+        m0 = t3[0] * twR;
+        m1 = t3[1] * twI;
+        m2 = t3[1] * twR;
+        m3 = t3[0] * twI;
+        
+        *p3++ = m0 + m1;
+        *p3++ = m2 - m3;
+        // use vertical symmetry col 3
+        // 0.9988 - 0.0491i  <==>  -0.9988 - 0.0491i
+        // Bottom
+        m0 = -t3[3] * twR;
+        m1 = t3[2] * twI;
+        m2 = t3[2] * twR;
+        m3 = t3[3] * twI;
+        
+        *pEnd3-- = m0 - m1;
+        *pEnd3-- = m3 - m2;
+        
+        // COL 4
+        twR = tw4[0];
+        twI = tw4[1];
+        tw4 += twMod4;
+        // Top
+        m0 = t4[0] * twR;
+        m1 = t4[1] * twI;
+        m2 = t4[1] * twR;
+        m3 = t4[0] * twI;
+        
+        *p4++ = m0 + m1;
+        *p4++ = m2 - m3;
+        // use vertical symmetry col 4
+        // 0.9973 - 0.0736i  <==>  -0.0736 + 0.9973i
+        // Bottom
+        m0 = t4[3] * twI;
+        m1 = t4[2] * twR;
+        m2 = t4[2] * twI;
+        m3 = t4[3] * twR;
+        
+        *pEnd4-- = m0 - m1;
+        *pEnd4-- = m2 + m3;
+    }
 
-   //MIDDLE
-   // Twiddle factors are 
-   //  1.0000  0.7071-0.7071i  -1.0000i  -0.7071-0.7071i
-   p1ap3_0 = p1[0] + p3[0];
-   p1sp3_0 = p1[0] - p3[0];
-   p1ap3_1 = p1[1] + p3[1];
-   p1sp3_1 = p1[1] - p3[1];
+    //MIDDLE
+    // Twiddle factors are 
+    //  1.0000  0.7071-0.7071i  -1.0000i  -0.7071-0.7071i
+    p1ap3_0 = p1[0] + p3[0];
+    p1sp3_0 = p1[0] - p3[0];
+    p1ap3_1 = p1[1] + p3[1];
+    p1sp3_1 = p1[1] - p3[1];
 
-   // col 2
-   t2[0] = p1sp3_0 + p2[1] - p4[1];
-   t2[1] = p1sp3_1 - p2[0] + p4[0];
-   // col 3
-   t3[0] = p1ap3_0 - p2[0] - p4[0];
-   t3[1] = p1ap3_1 - p2[1] - p4[1];
-   // col 4
-   t4[0] = p1sp3_0 - p2[1] + p4[1];
-   t4[1] = p1sp3_1 + p2[0] - p4[0];
-   // col 1 - Top
-   *p1++ = p1ap3_0 + p2[0] + p4[0];
-   *p1++ = p1ap3_1 + p2[1] + p4[1];
-   
-   // COL 2
-   twR = tw2[0];
-   twI = tw2[1];
-   
-   m0 = t2[0] * twR;
-   m1 = t2[1] * twI;
-   m2 = t2[1] * twR;
-   m3 = t2[0] * twI;
-   
-   *p2++ = m0 + m1;
-   *p2++ = m2 - m3;
-      // COL 3
-   twR = tw3[0];
-   twI = tw3[1];
-   
-   m0 = t3[0] * twR;
-   m1 = t3[1] * twI;
-   m2 = t3[1] * twR;
-   m3 = t3[0] * twI;
-   
-   *p3++ = m0 + m1;
-   *p3++ = m2 - m3;
-   // COL 4
-   twR = tw4[0];
-   twI = tw4[1];
-   
-   m0 = t4[0] * twR;
-   m1 = t4[1] * twI;
-   m2 = t4[1] * twR;
-   m3 = t4[0] * twI;
-   
-   *p4++ = m0 + m1;
-   *p4++ = m2 - m3;
+    // col 2
+    t2[0] = p1sp3_0 + p2[1] - p4[1];
+    t2[1] = p1sp3_1 - p2[0] + p4[0];
+    // col 3
+    t3[0] = p1ap3_0 - p2[0] - p4[0];
+    t3[1] = p1ap3_1 - p2[1] - p4[1];
+    // col 4
+    t4[0] = p1sp3_0 - p2[1] + p4[1];
+    t4[1] = p1sp3_1 + p2[0] - p4[0];
+    // col 1 - Top
+    *p1++ = p1ap3_0 + p2[0] + p4[0];
+    *p1++ = p1ap3_1 + p2[1] + p4[1];
+
+    // COL 2
+    twR = tw2[0];
+    twI = tw2[1];
+
+    m0 = t2[0] * twR;
+    m1 = t2[1] * twI;
+    m2 = t2[1] * twR;
+    m3 = t2[0] * twI;
+
+    *p2++ = m0 + m1;
+    *p2++ = m2 - m3;
+    // COL 3
+    twR = tw3[0];
+    twI = tw3[1];
 
-   // first col
-   arm_radix8_butterfly_f32( pCol1, L, (float32_t *) S->pTwiddle, 4u);
-   // second col
-   arm_radix8_butterfly_f32( pCol2, L, (float32_t *) S->pTwiddle, 4u);
-   // third col
-   arm_radix8_butterfly_f32( pCol3, L, (float32_t *) S->pTwiddle, 4u);
-   // fourth col
-   arm_radix8_butterfly_f32( pCol4, L, (float32_t *) S->pTwiddle, 4u);
+    m0 = t3[0] * twR;
+    m1 = t3[1] * twI;
+    m2 = t3[1] * twR;
+    m3 = t3[0] * twI;
+
+    *p3++ = m0 + m1;
+    *p3++ = m2 - m3;
+    // COL 4
+    twR = tw4[0];
+    twI = tw4[1];
 
+    m0 = t4[0] * twR;
+    m1 = t4[1] * twI;
+    m2 = t4[1] * twR;
+    m3 = t4[0] * twI;
+
+    *p4++ = m0 + m1;
+    *p4++ = m2 - m3;
+
+    // first col
+    arm_radix8_butterfly_f32( pCol1, L, (float32_t *) S->pTwiddle, 4u);
+    // second col
+    arm_radix8_butterfly_f32( pCol2, L, (float32_t *) S->pTwiddle, 4u);
+    // third col
+    arm_radix8_butterfly_f32( pCol3, L, (float32_t *) S->pTwiddle, 4u);
+    // fourth col
+    arm_radix8_butterfly_f32( pCol4, L, (float32_t *) S->pTwiddle, 4u);
 }
 
 /**
@@ -561,56 +572,61 @@
 */
 
 void arm_cfft_f32( 
-   const arm_cfft_instance_f32 * S, 
-   float32_t * p1,
-   uint8_t ifftFlag,
-   uint8_t bitReverseFlag)
+    const arm_cfft_instance_f32 * S, 
+    float32_t * p1,
+    uint8_t ifftFlag,
+    uint8_t bitReverseFlag)
 {
-
-   uint32_t  L = S->fftLen, l;
-   float32_t invL, * pSrc;
+    uint32_t  L = S->fftLen, l;
+    float32_t invL, * pSrc;
 
-  if(ifftFlag == 1u)
-  {
-	  /*  Conjugate input data  */
-	  pSrc = p1 + 1;
-	  for(l=0; l<L; l++) {
-		  *pSrc = -*pSrc;
-		   pSrc += 2;
-	  }
-  }
+    if(ifftFlag == 1u)
+    {
+        /*  Conjugate input data  */
+        pSrc = p1 + 1;
+        for(l=0; l<L; l++) 
+        {
+            *pSrc = -*pSrc;
+            pSrc += 2;
+        }
+    }
 
-		switch (L) {
-		case 16: 
-		case 128:
-		case 1024:
-			 arm_cfft_radix8by2_f32  ( (arm_cfft_instance_f32 *) S, p1);
-			 break;
-		case 32:
-		case 256:
-		case 2048:
-			 arm_cfft_radix8by4_f32  ( (arm_cfft_instance_f32 *) S, p1);
-			 break;
-		case 64:
-		case 512:
-		case 4096:
-          arm_radix8_butterfly_f32( p1, L, (float32_t *) S->pTwiddle, 1);
-			 break;
-		}  
+    switch (L) 
+    {
+    case 16: 
+    case 128:
+    case 1024:
+        arm_cfft_radix8by2_f32  ( (arm_cfft_instance_f32 *) S, p1);
+        break;
+    case 32:
+    case 256:
+    case 2048:
+        arm_cfft_radix8by4_f32  ( (arm_cfft_instance_f32 *) S, p1);
+        break;
+    case 64:
+    case 512:
+    case 4096:
+        arm_radix8_butterfly_f32( p1, L, (float32_t *) S->pTwiddle, 1);
+        break;
+    }  
 
-	if( bitReverseFlag )
-		arm_bitreversal_32((uint32_t*)p1,S->bitRevLength,S->pBitRevTable);
+    if( bitReverseFlag )
+        arm_bitreversal_32((uint32_t*)p1,S->bitRevLength,S->pBitRevTable);
 
-  if(ifftFlag == 1u)
-  {
-	  invL = 1.0f/(float32_t)L;
-	  /*  Conjugate and scale output data */
-	  pSrc = p1;
-	  for(l=0; l<L; l++) {
-  		 *pSrc++ *=   invL ;
-		 *pSrc  = -(*pSrc) * invL;
-                 pSrc++;
-	  }
-  }
+    if(ifftFlag == 1u)
+    {
+        invL = 1.0f/(float32_t)L;
+        /*  Conjugate and scale output data */
+        pSrc = p1;
+        for(l=0; l<L; l++) 
+        {
+            *pSrc++ *=   invL ;
+            *pSrc  = -(*pSrc) * invL;
+            pSrc++;
+        }
+    }
 }
 
+/**    
+* @} end of ComplexFFT group    
+*/

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/TransformFunctions/arm_cfft_q15.c
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/cmsis_dsp/TransformFunctions/arm_cfft_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -0,0 +1,357 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_cfft_q15.c   
+*    
+* Description:	Combined Radix Decimation in Q15 Frequency CFFT processing function
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+extern void arm_radix4_butterfly_q15(
+    q15_t * pSrc,
+    uint32_t fftLen,
+    q15_t * pCoef,
+    uint32_t twidCoefModifier);
+
+extern void arm_radix4_butterfly_inverse_q15(
+    q15_t * pSrc,
+    uint32_t fftLen,
+    q15_t * pCoef,
+    uint32_t twidCoefModifier);
+
+extern void arm_bitreversal_16(
+    uint16_t * pSrc,
+    const uint16_t bitRevLen,
+    const uint16_t * pBitRevTable);
+    
+void arm_cfft_radix4by2_q15(
+    q15_t * pSrc,
+    uint32_t fftLen,
+    const q15_t * pCoef);
+    
+void arm_cfft_radix4by2_inverse_q15(
+    q15_t * pSrc,
+    uint32_t fftLen,
+    const q15_t * pCoef);
+
+/**   
+* @ingroup groupTransforms   
+*/
+
+/**
+* @addtogroup ComplexFFT   
+* @{   
+*/
+
+/**   
+* @details   
+* @brief       Processing function for the Q15 complex FFT.
+* @param[in]      *S    points to an instance of the Q15 CFFT structure.  
+* @param[in, out] *p1   points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place.  
+* @param[in]     ifftFlag       flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.  
+* @param[in]     bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.  
+* @return none.  
+*/
+
+void arm_cfft_q15( 
+    const arm_cfft_instance_q15 * S, 
+    q15_t * p1,
+    uint8_t ifftFlag,
+    uint8_t bitReverseFlag)
+{
+    uint32_t L = S->fftLen;
+
+    if(ifftFlag == 1u)
+    {
+        switch (L) 
+        {
+        case 16: 
+        case 64:
+        case 256:
+        case 1024:
+        case 4096:
+            arm_radix4_butterfly_inverse_q15  ( p1, L, (q15_t*)S->pTwiddle, 1 );
+            break;
+            
+        case 32:
+        case 128:
+        case 512:
+        case 2048:
+            arm_cfft_radix4by2_inverse_q15  ( p1, L, S->pTwiddle );
+            break;
+        }  
+    }
+    else
+    {
+        switch (L) 
+        {
+        case 16: 
+        case 64:
+        case 256:
+        case 1024:
+        case 4096:
+            arm_radix4_butterfly_q15  ( p1, L, (q15_t*)S->pTwiddle, 1 );
+            break;
+            
+        case 32:
+        case 128:
+        case 512:
+        case 2048:
+            arm_cfft_radix4by2_q15  ( p1, L, S->pTwiddle );
+            break;
+        }  
+    }
+    
+    if( bitReverseFlag )
+        arm_bitreversal_16((uint16_t*)p1,S->bitRevLength,S->pBitRevTable);    
+}
+
+/**    
+* @} end of ComplexFFT group    
+*/
+
+void arm_cfft_radix4by2_q15(
+    q15_t * pSrc,
+    uint32_t fftLen,
+    const q15_t * pCoef) 
+{    
+    uint32_t i;
+    uint32_t n2;
+    q15_t p0, p1, p2, p3;
+#ifndef ARM_MATH_CM0_FAMILY
+    q31_t T, S, R;
+    q31_t coeff, out1, out2;
+    const q15_t *pC = pCoef;
+    q15_t *pSi = pSrc;
+    q15_t *pSl = pSrc + fftLen;
+#else
+    uint32_t ia, l;
+    q15_t xt, yt, cosVal, sinVal;
+#endif
+    
+    n2 = fftLen >> 1; 
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+    for (i = n2; i > 0; i--)
+    {
+        coeff = _SIMD32_OFFSET(pC);
+        pC += 2;
+
+        T = _SIMD32_OFFSET(pSi);
+        T = __SHADD16(T, 0); // this is just a SIMD arithmetic shift right by 1
+
+        S = _SIMD32_OFFSET(pSl);
+        S = __SHADD16(S, 0); // this is just a SIMD arithmetic shift right by 1
+
+        R = __QSUB16(T, S);
+
+        _SIMD32_OFFSET(pSi) = __SHADD16(T, S);
+        pSi += 2;
+
+    #ifndef ARM_MATH_BIG_ENDIAN
+
+        out1 = __SMUAD(coeff, R) >> 16;
+        out2 = __SMUSDX(coeff, R);
+
+    #else
+
+        out1 = __SMUSDX(R, coeff) >> 16u;
+        out2 = __SMUAD(coeff, R);
+
+    #endif //     #ifndef ARM_MATH_BIG_ENDIAN
+
+        _SIMD32_OFFSET(pSl) =
+        (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
+        pSl += 2;
+    } 
+    
+#else //    #ifndef ARM_MATH_CM0_FAMILY
+    
+    ia = 0;
+    for (i = 0; i < n2; i++)
+    {
+        cosVal = pCoef[ia * 2];
+        sinVal = pCoef[(ia * 2) + 1];
+        ia++;
+        
+        l = i + n2;        
+        
+        xt = (pSrc[2 * i] >> 1u) - (pSrc[2 * l] >> 1u);
+        pSrc[2 * i] = ((pSrc[2 * i] >> 1u) + (pSrc[2 * l] >> 1u)) >> 1u;
+        
+        yt = (pSrc[2 * i + 1] >> 1u) - (pSrc[2 * l + 1] >> 1u);
+        pSrc[2 * i + 1] =
+        ((pSrc[2 * l + 1] >> 1u) + (pSrc[2 * i + 1] >> 1u)) >> 1u;
+
+        pSrc[2u * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) +
+                  ((int16_t) (((q31_t) yt * sinVal) >> 16)));
+
+        pSrc[2u * l + 1u] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) -
+                       ((int16_t) (((q31_t) xt * sinVal) >> 16)));
+    } 
+    
+#endif //    #ifndef ARM_MATH_CM0_FAMILY
+    
+    // first col
+    arm_radix4_butterfly_q15( pSrc, n2, (q15_t*)pCoef, 2u);
+    // second col
+    arm_radix4_butterfly_q15( pSrc + fftLen, n2, (q15_t*)pCoef, 2u);
+			
+    for (i = 0; i < fftLen >> 1; i++)
+    {
+        p0 = pSrc[4*i+0];
+        p1 = pSrc[4*i+1];
+        p2 = pSrc[4*i+2];
+        p3 = pSrc[4*i+3];
+        
+        p0 <<= 1;
+        p1 <<= 1;
+        p2 <<= 1;
+        p3 <<= 1;
+        
+        pSrc[4*i+0] = p0;
+        pSrc[4*i+1] = p1;
+        pSrc[4*i+2] = p2;
+        pSrc[4*i+3] = p3;
+    }
+}
+
+void arm_cfft_radix4by2_inverse_q15(
+    q15_t * pSrc,
+    uint32_t fftLen,
+    const q15_t * pCoef) 
+{    
+    uint32_t i;
+    uint32_t n2;
+    q15_t p0, p1, p2, p3;
+#ifndef ARM_MATH_CM0_FAMILY
+    q31_t T, S, R;
+    q31_t coeff, out1, out2;
+    const q15_t *pC = pCoef;
+    q15_t *pSi = pSrc;
+    q15_t *pSl = pSrc + fftLen;
+#else
+    uint32_t ia, l;
+    q15_t xt, yt, cosVal, sinVal;
+#endif
+    
+    n2 = fftLen >> 1; 
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+    for (i = n2; i > 0; i--)
+    {
+        coeff = _SIMD32_OFFSET(pC);
+        pC += 2;
+
+        T = _SIMD32_OFFSET(pSi);
+        T = __SHADD16(T, 0); // this is just a SIMD arithmetic shift right by 1
+
+        S = _SIMD32_OFFSET(pSl);
+        S = __SHADD16(S, 0); // this is just a SIMD arithmetic shift right by 1
+
+        R = __QSUB16(T, S);
+
+        _SIMD32_OFFSET(pSi) = __SHADD16(T, S);
+        pSi += 2;
+
+    #ifndef ARM_MATH_BIG_ENDIAN
+
+        out1 = __SMUSD(coeff, R) >> 16;
+        out2 = __SMUADX(coeff, R);
+    #else
+
+        out1 = __SMUADX(R, coeff) >> 16u;
+        out2 = __SMUSD(__QSUB(0, coeff), R);
+
+    #endif //     #ifndef ARM_MATH_BIG_ENDIAN
+
+        _SIMD32_OFFSET(pSl) =
+        (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);        
+        pSl += 2;
+    } 
+    
+#else //    #ifndef ARM_MATH_CM0_FAMILY
+
+    ia = 0;
+    for (i = 0; i < n2; i++)
+    {
+        cosVal = pCoef[ia * 2];
+        sinVal = pCoef[(ia * 2) + 1];
+        ia++;
+        
+        l = i + n2;
+        xt = (pSrc[2 * i] >> 1u) - (pSrc[2 * l] >> 1u);
+        pSrc[2 * i] = ((pSrc[2 * i] >> 1u) + (pSrc[2 * l] >> 1u)) >> 1u;
+        
+        yt = (pSrc[2 * i + 1] >> 1u) - (pSrc[2 * l + 1] >> 1u);
+        pSrc[2 * i + 1] =
+          ((pSrc[2 * l + 1] >> 1u) + (pSrc[2 * i + 1] >> 1u)) >> 1u;
+        
+        pSrc[2u * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) -
+                        ((int16_t) (((q31_t) yt * sinVal) >> 16)));
+        
+        pSrc[2u * l + 1u] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) +
+                           ((int16_t) (((q31_t) xt * sinVal) >> 16)));
+    } 
+    
+#endif //    #ifndef ARM_MATH_CM0_FAMILY
+
+    // first col
+    arm_radix4_butterfly_inverse_q15( pSrc, n2, (q15_t*)pCoef, 2u);
+    // second col
+    arm_radix4_butterfly_inverse_q15( pSrc + fftLen, n2, (q15_t*)pCoef, 2u);
+			
+    for (i = 0; i < fftLen >> 1; i++)
+    {
+        p0 = pSrc[4*i+0];
+        p1 = pSrc[4*i+1];
+        p2 = pSrc[4*i+2];
+        p3 = pSrc[4*i+3];
+        
+        p0 <<= 1;
+        p1 <<= 1;
+        p2 <<= 1;
+        p3 <<= 1;
+        
+        pSrc[4*i+0] = p0;
+        pSrc[4*i+1] = p1;
+        pSrc[4*i+2] = p2;
+        pSrc[4*i+3] = p3;
+    }
+}
+

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/TransformFunctions/arm_cfft_q31.c
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/cmsis_dsp/TransformFunctions/arm_cfft_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -0,0 +1,264 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_cfft_q31.c   
+*    
+* Description:	Combined Radix Decimation in Frequency CFFT fixed point processing function
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+extern void arm_radix4_butterfly_q31(
+    q31_t * pSrc,
+    uint32_t fftLen,
+    q31_t * pCoef,
+    uint32_t twidCoefModifier);
+
+extern void arm_radix4_butterfly_inverse_q31(
+    q31_t * pSrc,
+    uint32_t fftLen,
+    q31_t * pCoef,
+    uint32_t twidCoefModifier);
+
+extern void arm_bitreversal_32(
+    uint32_t * pSrc,
+    const uint16_t bitRevLen,
+    const uint16_t * pBitRevTable);
+    
+void arm_cfft_radix4by2_q31(
+    q31_t * pSrc,
+    uint32_t fftLen,
+    const q31_t * pCoef);
+    
+void arm_cfft_radix4by2_inverse_q31(
+    q31_t * pSrc,
+    uint32_t fftLen,
+    const q31_t * pCoef);
+
+/**   
+* @ingroup groupTransforms   
+*/
+
+/**
+* @addtogroup ComplexFFT   
+* @{   
+*/
+
+/**   
+* @details   
+* @brief       Processing function for the fixed-point complex FFT in Q31 format.
+* @param[in]      *S    points to an instance of the fixed-point CFFT structure.  
+* @param[in, out] *p1   points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place.  
+* @param[in]     ifftFlag       flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.  
+* @param[in]     bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.  
+* @return none.  
+*/
+
+void arm_cfft_q31( 
+    const arm_cfft_instance_q31 * S, 
+    q31_t * p1,
+    uint8_t ifftFlag,
+    uint8_t bitReverseFlag)
+{
+    uint32_t L = S->fftLen;
+
+    if(ifftFlag == 1u)
+    {
+        switch (L) 
+        {
+        case 16: 
+        case 64:
+        case 256:
+        case 1024:
+        case 4096:
+            arm_radix4_butterfly_inverse_q31  ( p1, L, (q31_t*)S->pTwiddle, 1 );
+            break;
+            
+        case 32:
+        case 128:
+        case 512:
+        case 2048:
+            arm_cfft_radix4by2_inverse_q31  ( p1, L, S->pTwiddle );
+            break;
+        }  
+    }
+    else
+    {
+        switch (L) 
+        {
+        case 16: 
+        case 64:
+        case 256:
+        case 1024:
+        case 4096:
+            arm_radix4_butterfly_q31  ( p1, L, (q31_t*)S->pTwiddle, 1 );
+            break;
+            
+        case 32:
+        case 128:
+        case 512:
+        case 2048:
+            arm_cfft_radix4by2_q31  ( p1, L, S->pTwiddle );
+            break;
+        }  
+    }
+    
+    if( bitReverseFlag )
+        arm_bitreversal_32((uint32_t*)p1,S->bitRevLength,S->pBitRevTable);    
+}
+
+/**    
+* @} end of ComplexFFT group    
+*/
+
+void arm_cfft_radix4by2_q31(
+    q31_t * pSrc,
+    uint32_t fftLen,
+    const q31_t * pCoef) 
+{    
+    uint32_t i, l;
+    uint32_t n2, ia;
+    q31_t xt, yt, cosVal, sinVal;
+    q31_t p0, p1;
+    
+    n2 = fftLen >> 1;    
+    ia = 0;
+    for (i = 0; i < n2; i++)
+    {
+        cosVal = pCoef[2*ia];
+        sinVal = pCoef[2*ia + 1];
+        ia++;
+        
+        l = i + n2;
+        xt = (pSrc[2 * i] >> 2) - (pSrc[2 * l] >> 2);
+        pSrc[2 * i] = (pSrc[2 * i] >> 2) + (pSrc[2 * l] >> 2);
+        
+        yt = (pSrc[2 * i + 1] >> 2) - (pSrc[2 * l + 1] >> 2);
+        pSrc[2 * i + 1] = (pSrc[2 * l + 1] >> 2) + (pSrc[2 * i + 1] >> 2);
+        
+        mult_32x32_keep32_R(p0, xt, cosVal);
+        mult_32x32_keep32_R(p1, yt, cosVal);
+        multAcc_32x32_keep32_R(p0, yt, sinVal); 
+        multSub_32x32_keep32_R(p1, xt, sinVal);
+        
+        pSrc[2u * l] = p0 << 1;
+        pSrc[2u * l + 1u] = p1 << 1;
+    
+    }
+
+    // first col
+    arm_radix4_butterfly_q31( pSrc, n2, (q31_t*)pCoef, 2u);
+    // second col
+    arm_radix4_butterfly_q31( pSrc + fftLen, n2, (q31_t*)pCoef, 2u);
+			
+    for (i = 0; i < fftLen >> 1; i++)
+    {
+        p0 = pSrc[4*i+0];
+        p1 = pSrc[4*i+1];
+        xt = pSrc[4*i+2];
+        yt = pSrc[4*i+3];
+        
+        p0 <<= 1;
+        p1 <<= 1;
+        xt <<= 1;
+        yt <<= 1;
+        
+        pSrc[4*i+0] = p0;
+        pSrc[4*i+1] = p1;
+        pSrc[4*i+2] = xt;
+        pSrc[4*i+3] = yt;
+    }
+
+}
+
+void arm_cfft_radix4by2_inverse_q31(
+    q31_t * pSrc,
+    uint32_t fftLen,
+    const q31_t * pCoef) 
+{    
+    uint32_t i, l;
+    uint32_t n2, ia;
+    q31_t xt, yt, cosVal, sinVal;
+    q31_t p0, p1;
+    
+    n2 = fftLen >> 1;    
+    ia = 0;
+    for (i = 0; i < n2; i++)
+    {
+        cosVal = pCoef[2*ia];
+        sinVal = pCoef[2*ia + 1];
+        ia++;
+        
+        l = i + n2;
+        xt = (pSrc[2 * i] >> 2) - (pSrc[2 * l] >> 2);
+        pSrc[2 * i] = (pSrc[2 * i] >> 2) + (pSrc[2 * l] >> 2);
+        
+        yt = (pSrc[2 * i + 1] >> 2) - (pSrc[2 * l + 1] >> 2);
+        pSrc[2 * i + 1] = (pSrc[2 * l + 1] >> 2) + (pSrc[2 * i + 1] >> 2);
+        
+        mult_32x32_keep32_R(p0, xt, cosVal);
+        mult_32x32_keep32_R(p1, yt, cosVal);
+        multSub_32x32_keep32_R(p0, yt, sinVal); 
+        multAcc_32x32_keep32_R(p1, xt, sinVal);
+        
+        pSrc[2u * l] = p0 << 1;
+        pSrc[2u * l + 1u] = p1 << 1;
+    
+    }
+
+    // first col
+    arm_radix4_butterfly_inverse_q31( pSrc, n2, (q31_t*)pCoef, 2u);
+    // second col
+    arm_radix4_butterfly_inverse_q31( pSrc + fftLen, n2, (q31_t*)pCoef, 2u);
+			
+    for (i = 0; i < fftLen >> 1; i++)
+    {
+        p0 = pSrc[4*i+0];
+        p1 = pSrc[4*i+1];
+        xt = pSrc[4*i+2];
+        yt = pSrc[4*i+3];
+        
+        p0 <<= 1;
+        p1 <<= 1;
+        xt <<= 1;
+        yt <<= 1;
+        
+        pSrc[4*i+0] = p0;
+        pSrc[4*i+1] = p1;
+        pSrc[4*i+2] = xt;
+        pSrc[4*i+3] = yt;
+    }
+}
+

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/TransformFunctions/arm_cfft_radix2_f32.c
--- a/cmsis_dsp/TransformFunctions/arm_cfft_radix2_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/TransformFunctions/arm_cfft_radix2_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------   
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.   
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
 *   
-* $Date:        17. January 2013  
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
 *   
 * Project: 	    CMSIS DSP Library   
 * Title:	    arm_cfft_radix2_f32.c   
@@ -72,7 +72,7 @@
 /**   
 * @details
 * @brief Radix-2 CFFT/CIFFT.
-* @deprecated Do not use this function.  It has been superceded by \ref arm_cfft_f32 and will be removed
+* @deprecated Do not use this function.  It has been superseded by \ref arm_cfft_f32 and will be removed
 * in the future.
 * @param[in]      *S    points to an instance of the floating-point Radix-2 CFFT/CIFFT structure.  
 * @param[in, out] *pSrc points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place.  

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/TransformFunctions/arm_cfft_radix2_init_f32.c
--- a/cmsis_dsp/TransformFunctions/arm_cfft_radix2_init_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/TransformFunctions/arm_cfft_radix2_init_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------   
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.   
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
 *   
-* $Date:        17. January 2013  
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
 *   
 * Project: 	    CMSIS DSP Library   
 * Title:	    arm_cfft_radix4_init_f32.c   
@@ -53,7 +53,7 @@
 
 /**   
 * @brief  Initialization function for the floating-point CFFT/CIFFT.  
-* @deprecated Do not use this function.  It has been superceded by \ref arm_cfft_f32 and will be removed
+* @deprecated Do not use this function.  It has been superseded by \ref arm_cfft_f32 and will be removed
 * in the future.
 * @param[in,out] *S             points to an instance of the floating-point CFFT/CIFFT structure.  
 * @param[in]     fftLen         length of the FFT.  

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/TransformFunctions/arm_cfft_radix2_init_q15.c
--- a/cmsis_dsp/TransformFunctions/arm_cfft_radix2_init_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/TransformFunctions/arm_cfft_radix2_init_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1   
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5   
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_cfft_radix2_init_q15.c    
@@ -53,6 +53,7 @@
 
 /**   
 * @brief Initialization function for the Q15 CFFT/CIFFT.   
+* @deprecated Do not use this function.  It has been superseded by \ref arm_cfft_q15 and will be removed
 * @param[in,out] *S             points to an instance of the Q15 CFFT/CIFFT structure.   
 * @param[in]     fftLen         length of the FFT.   
 * @param[in]     ifftFlag       flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.  
@@ -85,7 +86,7 @@
   S->fftLen = fftLen;
 
   /*  Initialise the Twiddle coefficient pointer */
-  S->pTwiddle = (q15_t *) twiddleCoefQ15;
+  S->pTwiddle = (q15_t *) twiddleCoef_4096_q15;
   /*  Initialise the Flag for selection of CFFT or CIFFT */
   S->ifftFlag = ifftFlag;
   /*  Initialise the Flag for calculation Bit reversal or not */

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/TransformFunctions/arm_cfft_radix2_init_q31.c
--- a/cmsis_dsp/TransformFunctions/arm_cfft_radix2_init_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/TransformFunctions/arm_cfft_radix2_init_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------   
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.   
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
 *   
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
 *   
 * Project: 	    CMSIS DSP Library   
 * Title:	    arm_cfft_radix2_init_q31.c   
@@ -55,6 +55,7 @@
 /**    
 *    
 * @brief  Initialization function for the Q31 CFFT/CIFFT.   
+* @deprecated Do not use this function.  It has been superseded by \ref arm_cfft_q31 and will be removed
 * @param[in,out] *S             points to an instance of the Q31 CFFT/CIFFT structure.   
 * @param[in]     fftLen         length of the FFT.  
 * @param[in]     ifftFlag       flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.  
@@ -87,7 +88,7 @@
   S->fftLen = fftLen;
 
   /*  Initialise the Twiddle coefficient pointer */
-  S->pTwiddle = (q31_t *) twiddleCoefQ31;
+  S->pTwiddle = (q31_t *) twiddleCoef_4096_q31;
   /*  Initialise the Flag for selection of CFFT or CIFFT */
   S->ifftFlag = ifftFlag;
   /*  Initialise the Flag for calculation Bit reversal or not */

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/TransformFunctions/arm_cfft_radix2_q15.c
--- a/cmsis_dsp/TransformFunctions/arm_cfft_radix2_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/TransformFunctions/arm_cfft_radix2_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------   
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.   
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
 *   
-* $Date:        17. January 2013  
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
 *   
 * Project: 	    CMSIS DSP Library   
 * Title:	    arm_cfft_radix2_q15.c   
@@ -71,6 +71,7 @@
 /**   
  * @details   
  * @brief Processing function for the fixed-point CFFT/CIFFT.  
+ * @deprecated Do not use this function.  It has been superseded by \ref arm_cfft_q15 and will be removed
  * @param[in]      *S    points to an instance of the fixed-point CFFT/CIFFT structure.  
  * @param[in, out] *pSrc points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place.  
  * @return none.  
@@ -130,12 +131,12 @@
     l = i + n2;
 
     T = _SIMD32_OFFSET(pSrc + (2 * i));
-    in = ((int16_t) (T & 0xFFFF)) >> 2;
-    T = ((T >> 2) & 0xFFFF0000) | (in & 0xFFFF);
+    in = ((int16_t) (T & 0xFFFF)) >> 1;
+    T = ((T >> 1) & 0xFFFF0000) | (in & 0xFFFF);
 
     S = _SIMD32_OFFSET(pSrc + (2 * l));
-    in = ((int16_t) (S & 0xFFFF)) >> 2;
-    S = ((S >> 2) & 0xFFFF0000) | (in & 0xFFFF);
+    in = ((int16_t) (S & 0xFFFF)) >> 1;
+    S = ((S >> 1) & 0xFFFF0000) | (in & 0xFFFF);
 
     R = __QSUB16(T, S);
 
@@ -165,12 +166,12 @@
     l++;
 
     T = _SIMD32_OFFSET(pSrc + (2 * i));
-    in = ((int16_t) (T & 0xFFFF)) >> 2;
-    T = ((T >> 2) & 0xFFFF0000) | (in & 0xFFFF);
+    in = ((int16_t) (T & 0xFFFF)) >> 1;
+    T = ((T >> 1) & 0xFFFF0000) | (in & 0xFFFF);
 
     S = _SIMD32_OFFSET(pSrc + (2 * l));
-    in = ((int16_t) (S & 0xFFFF)) >> 2;
-    S = ((S >> 2) & 0xFFFF0000) | (in & 0xFFFF);
+    in = ((int16_t) (S & 0xFFFF)) >> 1;
+    S = ((S >> 1) & 0xFFFF0000) | (in & 0xFFFF);
 
     R = __QSUB16(T, S);
 
@@ -335,12 +336,12 @@
     for (i = j; i < fftLen; i += n1)
     {
       l = i + n2;
-      xt = (pSrc[2 * i] >> 2u) - (pSrc[2 * l] >> 2u);
-      pSrc[2 * i] = ((pSrc[2 * i] >> 2u) + (pSrc[2 * l] >> 2u)) >> 1u;
+      xt = (pSrc[2 * i] >> 1u) - (pSrc[2 * l] >> 1u);
+      pSrc[2 * i] = ((pSrc[2 * i] >> 1u) + (pSrc[2 * l] >> 1u)) >> 1u;
 
-      yt = (pSrc[2 * i + 1] >> 2u) - (pSrc[2 * l + 1] >> 2u);
+      yt = (pSrc[2 * i + 1] >> 1u) - (pSrc[2 * l + 1] >> 1u);
       pSrc[2 * i + 1] =
-        ((pSrc[2 * l + 1] >> 2u) + (pSrc[2 * i + 1] >> 2u)) >> 1u;
+        ((pSrc[2 * l + 1] >> 1u) + (pSrc[2 * i + 1] >> 1u)) >> 1u;
 
       pSrc[2u * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) +
                       ((int16_t) (((q31_t) yt * sinVal) >> 16)));
@@ -459,12 +460,12 @@
     l = i + n2;
 
     T = _SIMD32_OFFSET(pSrc + (2 * i));
-    in = ((int16_t) (T & 0xFFFF)) >> 2;
-    T = ((T >> 2) & 0xFFFF0000) | (in & 0xFFFF);
+    in = ((int16_t) (T & 0xFFFF)) >> 1;
+    T = ((T >> 1) & 0xFFFF0000) | (in & 0xFFFF);
 
     S = _SIMD32_OFFSET(pSrc + (2 * l));
-    in = ((int16_t) (S & 0xFFFF)) >> 2;
-    S = ((S >> 2) & 0xFFFF0000) | (in & 0xFFFF);
+    in = ((int16_t) (S & 0xFFFF)) >> 1;
+    S = ((S >> 1) & 0xFFFF0000) | (in & 0xFFFF);
 
     R = __QSUB16(T, S);
 
@@ -493,12 +494,12 @@
     l++;
 
     T = _SIMD32_OFFSET(pSrc + (2 * i));
-    in = ((int16_t) (T & 0xFFFF)) >> 2;
-    T = ((T >> 2) & 0xFFFF0000) | (in & 0xFFFF);
+    in = ((int16_t) (T & 0xFFFF)) >> 1;
+    T = ((T >> 1) & 0xFFFF0000) | (in & 0xFFFF);
 
     S = _SIMD32_OFFSET(pSrc + (2 * l));
-    in = ((int16_t) (S & 0xFFFF)) >> 2;
-    S = ((S >> 2) & 0xFFFF0000) | (in & 0xFFFF);
+    in = ((int16_t) (S & 0xFFFF)) >> 1;
+    S = ((S >> 1) & 0xFFFF0000) | (in & 0xFFFF);
 
     R = __QSUB16(T, S);
 
@@ -654,12 +655,12 @@
     for (i = j; i < fftLen; i += n1)
     {
       l = i + n2;
-      xt = (pSrc[2 * i] >> 2u) - (pSrc[2 * l] >> 2u);
-      pSrc[2 * i] = ((pSrc[2 * i] >> 2u) + (pSrc[2 * l] >> 2u)) >> 1u;
+      xt = (pSrc[2 * i] >> 1u) - (pSrc[2 * l] >> 1u);
+      pSrc[2 * i] = ((pSrc[2 * i] >> 1u) + (pSrc[2 * l] >> 1u)) >> 1u;
 
-      yt = (pSrc[2 * i + 1] >> 2u) - (pSrc[2 * l + 1] >> 2u);
+      yt = (pSrc[2 * i + 1] >> 1u) - (pSrc[2 * l + 1] >> 1u);
       pSrc[2 * i + 1] =
-        ((pSrc[2 * l + 1] >> 2u) + (pSrc[2 * i + 1] >> 2u)) >> 1u;
+        ((pSrc[2 * l + 1] >> 1u) + (pSrc[2 * i + 1] >> 1u)) >> 1u;
 
       pSrc[2u * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) -
                       ((int16_t) (((q31_t) yt * sinVal) >> 16)));

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/TransformFunctions/arm_cfft_radix2_q31.c
--- a/cmsis_dsp/TransformFunctions/arm_cfft_radix2_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/TransformFunctions/arm_cfft_radix2_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------   
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.   
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
 *   
-* $Date:        17. January 2013  
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
 *   
 * Project: 	    CMSIS DSP Library   
 * Title:	    arm_cfft_radix2_q31.c   
@@ -71,6 +71,7 @@
 /**   
 * @details   
 * @brief Processing function for the fixed-point CFFT/CIFFT.  
+* @deprecated Do not use this function.  It has been superseded by \ref arm_cfft_q31 and will be removed
 * @param[in]      *S    points to an instance of the fixed-point CFFT/CIFFT structure.  
 * @param[in, out] *pSrc points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place.  
 * @return none.  
@@ -126,12 +127,12 @@
       ia = ia + twidCoefModifier;
 
       l = i + n2;
-      xt = (pSrc[2 * i] >> 2u) - (pSrc[2 * l] >> 2u);
-      pSrc[2 * i] = ((pSrc[2 * i] >> 2u) + (pSrc[2 * l] >> 2u)) >> 1u;
+      xt = (pSrc[2 * i] >> 1u) - (pSrc[2 * l] >> 1u);
+      pSrc[2 * i] = ((pSrc[2 * i] >> 1u) + (pSrc[2 * l] >> 1u)) >> 1u;
       
-      yt = (pSrc[2 * i + 1] >> 2u) - (pSrc[2 * l + 1] >> 2u);
+      yt = (pSrc[2 * i + 1] >> 1u) - (pSrc[2 * l + 1] >> 1u);
       pSrc[2 * i + 1] =
-        ((pSrc[2 * l + 1] >> 2u) + (pSrc[2 * i + 1] >> 2u)) >> 1u;
+        ((pSrc[2 * l + 1] >> 1u) + (pSrc[2 * i + 1] >> 1u)) >> 1u;
 
       mult_32x32_keep32_R(p0, xt, cosVal);
       mult_32x32_keep32_R(p1, yt, cosVal);
@@ -254,12 +255,12 @@
       ia = ia + twidCoefModifier;
 
       l = i + n2;
-      xt = (pSrc[2 * i] >> 2u) - (pSrc[2 * l] >> 2u);
-      pSrc[2 * i] = ((pSrc[2 * i] >> 2u) + (pSrc[2 * l] >> 2u)) >> 1u;
+      xt = (pSrc[2 * i] >> 1u) - (pSrc[2 * l] >> 1u);
+      pSrc[2 * i] = ((pSrc[2 * i] >> 1u) + (pSrc[2 * l] >> 1u)) >> 1u;
       
-      yt = (pSrc[2 * i + 1] >> 2u) - (pSrc[2 * l + 1] >> 2u);
+      yt = (pSrc[2 * i + 1] >> 1u) - (pSrc[2 * l + 1] >> 1u);
       pSrc[2 * i + 1] =
-        ((pSrc[2 * l + 1] >> 2u) + (pSrc[2 * i + 1] >> 2u)) >> 1u;
+        ((pSrc[2 * l + 1] >> 1u) + (pSrc[2 * i + 1] >> 1u)) >> 1u;
 
       mult_32x32_keep32_R(p0, xt, cosVal);
       mult_32x32_keep32_R(p1, yt, cosVal);

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/TransformFunctions/arm_cfft_radix4_f32.c
--- a/cmsis_dsp/TransformFunctions/arm_cfft_radix4_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/TransformFunctions/arm_cfft_radix4_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013  
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_cfft_radix4_f32.c    
@@ -1171,7 +1171,7 @@
 /**    
 * @details    
 * @brief Processing function for the floating-point Radix-4 CFFT/CIFFT.   
-* @deprecated Do not use this function.  It has been superceded by \ref arm_cfft_f32 and will be removed
+* @deprecated Do not use this function.  It has been superseded by \ref arm_cfft_f32 and will be removed
 * in the future.
 * @param[in]      *S    points to an instance of the floating-point Radix-4 CFFT/CIFFT structure.   
 * @param[in, out] *pSrc points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place.   

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/TransformFunctions/arm_cfft_radix4_init_f32.c
--- a/cmsis_dsp/TransformFunctions/arm_cfft_radix4_init_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/TransformFunctions/arm_cfft_radix4_init_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013  
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_cfft_radix4_init_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/TransformFunctions/arm_cfft_radix4_init_q15.c
--- a/cmsis_dsp/TransformFunctions/arm_cfft_radix4_init_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/TransformFunctions/arm_cfft_radix4_init_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013  
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_cfft_radix4_init_q15.c    
@@ -54,6 +54,7 @@
 
 /**    
 * @brief Initialization function for the Q15 CFFT/CIFFT.   
+* @deprecated Do not use this function.  It has been superseded by \ref arm_cfft_q15 and will be removed
 * @param[in,out] *S             points to an instance of the Q15 CFFT/CIFFT structure.   
 * @param[in]     fftLen         length of the FFT.   
 * @param[in]     ifftFlag       flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.   
@@ -84,7 +85,7 @@
   /*  Initialise the FFT length */
   S->fftLen = fftLen;
   /*  Initialise the Twiddle coefficient pointer */
-  S->pTwiddle = (q15_t *) twiddleCoefQ15;
+  S->pTwiddle = (q15_t *) twiddleCoef_4096_q15;
   /*  Initialise the Flag for selection of CFFT or CIFFT */
   S->ifftFlag = ifftFlag;
   /*  Initialise the Flag for calculation Bit reversal or not */

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/TransformFunctions/arm_cfft_radix4_init_q31.c
--- a/cmsis_dsp/TransformFunctions/arm_cfft_radix4_init_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/TransformFunctions/arm_cfft_radix4_init_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013 
-* $Revision: 	V1.4.1   
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5   
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_cfft_radix4_init_q31.c    
@@ -53,6 +53,7 @@
 /**    
 *    
 * @brief  Initialization function for the Q31 CFFT/CIFFT.   
+* @deprecated Do not use this function.  It has been superseded by \ref arm_cfft_q31 and will be removed
 * @param[in,out] *S             points to an instance of the Q31 CFFT/CIFFT structure.   
 * @param[in]     fftLen         length of the FFT.   
 * @param[in]     ifftFlag       flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.   
@@ -83,7 +84,7 @@
   /*  Initialise the FFT length */
   S->fftLen = fftLen;
   /*  Initialise the Twiddle coefficient pointer */
-  S->pTwiddle = (q31_t *) twiddleCoefQ31;
+  S->pTwiddle = (q31_t *) twiddleCoef_4096_q31;
   /*  Initialise the Flag for selection of CFFT or CIFFT */
   S->ifftFlag = ifftFlag;
   /*  Initialise the Flag for calculation Bit reversal or not */

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/TransformFunctions/arm_cfft_radix4_q15.c
--- a/cmsis_dsp/TransformFunctions/arm_cfft_radix4_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/TransformFunctions/arm_cfft_radix4_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013  
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_cfft_radix4_q15.c    
@@ -73,6 +73,7 @@
 /**    
  * @details    
  * @brief Processing function for the Q15 CFFT/CIFFT.   
+ * @deprecated Do not use this function.  It has been superseded by \ref arm_cfft_q15 and will be removed
  * @param[in]      *S    points to an instance of the Q15 CFFT/CIFFT structure.   
  * @param[in, out] *pSrc points to the complex data buffer. Processing occurs in-place.   
  * @return none.   
@@ -172,12 +173,13 @@
 
   q31_t R, S, T, U;
   q31_t C1, C2, C3, out1, out2;
-  uint32_t n1, n2, ic, i0, i1, i2, i3, j, k;
-  q15_t in;
+  uint32_t n1, n2, ic, i0, j, k;
 
   q15_t *ptr1;
-
-
+  q15_t *pSi0;
+  q15_t *pSi1;
+  q15_t *pSi2;
+  q15_t *pSi3;
 
   q31_t xaya, xbyb, xcyc, xdyd;
 
@@ -196,8 +198,12 @@
   ic = 0u;
 
   /* Index for input read and output write */
-  i0 = 0u;
   j = n2;
+  
+  pSi0 = pSrc16;
+  pSi1 = pSi0 + 2 * n2;
+  pSi2 = pSi1 + 2 * n2;
+  pSi3 = pSi2 + 2 * n2;
 
   /* Input is in 1.15(q15) format */
 
@@ -206,22 +212,18 @@
   {
     /*  Butterfly implementation */
 
-    /*  index calculation for the input as, */
-    /*  pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
-    i1 = i0 + n2;
-    i2 = i1 + n2;
-    i3 = i2 + n2;
-
     /*  Reading i0, i0+fftLen/2 inputs */
     /* Read ya (real), xa(imag) input */
-    T = _SIMD32_OFFSET(pSrc16 + (2u * i0));
-    in = ((int16_t) (T & 0xFFFF)) >> 2;
-    T = ((T >> 2) & 0xFFFF0000) | (in & 0xFFFF);
+    T = _SIMD32_OFFSET(pSi0);
+    T = __SHADD16(T, 0); // this is just a SIMD arithmetic shift right by 1
+    T = __SHADD16(T, 0); // it turns out doing this twice is 2 cycles, the alternative takes 3 cycles
+    //in = ((int16_t) (T & 0xFFFF)) >> 2;       // alternative code that takes 3 cycles
+    //T = ((T >> 2) & 0xFFFF0000) | (in & 0xFFFF);
 
     /* Read yc (real), xc(imag) input */
-    S = _SIMD32_OFFSET(pSrc16 + (2u * i2));
-    in = ((int16_t) (S & 0xFFFF)) >> 2;
-    S = ((S >> 2) & 0xFFFF0000) | (in & 0xFFFF);
+    S = _SIMD32_OFFSET(pSi2);
+    S = __SHADD16(S, 0);
+    S = __SHADD16(S, 0);
 
     /* R = packed((ya + yc), (xa + xc) ) */
     R = __QADD16(T, S);
@@ -231,14 +233,14 @@
 
     /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
     /* Read yb (real), xb(imag) input */
-    T = _SIMD32_OFFSET(pSrc16 + (2u * i1));
-    in = ((int16_t) (T & 0xFFFF)) >> 2;
-    T = ((T >> 2) & 0xFFFF0000) | (in & 0xFFFF);
+    T = _SIMD32_OFFSET(pSi1);
+    T = __SHADD16(T, 0);
+    T = __SHADD16(T, 0);
 
     /* Read yd (real), xd(imag) input */
-    U = _SIMD32_OFFSET(pSrc16 + (2u * i3));
-    in = ((int16_t) (U & 0xFFFF)) >> 2;
-    U = ((U >> 2) & 0xFFFF0000) | (in & 0xFFFF);
+    U = _SIMD32_OFFSET(pSi3);
+    U = __SHADD16(U, 0);
+    U = __SHADD16(U, 0);
 
     /* T = packed((yb + yd), (xb + xd) ) */
     T = __QADD16(T, U);
@@ -246,7 +248,8 @@
     /*  writing the butterfly processed i0 sample */
     /* xa' = xa + xb + xc + xd */
     /* ya' = ya + yb + yc + yd */
-    _SIMD32_OFFSET(pSrc16 + (2u * i0)) = __SHADD16(R, T);
+    _SIMD32_OFFSET(pSi0) = __SHADD16(R, T);
+    pSi0 += 2;
 
     /* R = packed((ya + yc) - (yb + yd), (xa + xc)- (xb + xd)) */
     R = __QSUB16(R, T);
@@ -272,20 +275,21 @@
 
     /*  Reading i0+fftLen/4 */
     /* T = packed(yb, xb) */
-    T = _SIMD32_OFFSET(pSrc16 + (2u * i1));
-    in = ((int16_t) (T & 0xFFFF)) >> 2;
-    T = ((T >> 2) & 0xFFFF0000) | (in & 0xFFFF);
+    T = _SIMD32_OFFSET(pSi1);
+    T = __SHADD16(T, 0);
+    T = __SHADD16(T, 0);
 
     /* writing the butterfly processed i0 + fftLen/4 sample */
     /* writing output(xc', yc') in little endian format */
-    _SIMD32_OFFSET(pSrc16 + (2u * i1)) =
+    _SIMD32_OFFSET(pSi1) =
       (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
+    pSi1 += 2;
 
     /*  Butterfly calculations */
     /* U = packed(yd, xd) */
-    U = _SIMD32_OFFSET(pSrc16 + (2u * i3));
-    in = ((int16_t) (U & 0xFFFF)) >> 2;
-    U = ((U >> 2) & 0xFFFF0000) | (in & 0xFFFF);
+    U = _SIMD32_OFFSET(pSi3);
+    U = __SHADD16(U, 0);
+    U = __SHADD16(U, 0);
 
     /* T = packed(yb-yd, xb-xd) */
     T = __QSUB16(T, U);
@@ -327,8 +331,9 @@
 #endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
 
     /* writing output(xb', yb') in little endian format */
-    _SIMD32_OFFSET(pSrc16 + (2u * i2)) =
+    _SIMD32_OFFSET(pSi2) =
       ((out2) & 0xFFFF0000) | ((out1) & 0x0000FFFF);
+    pSi2 += 2;
 
 
     /* co3 & si3 are read from SIMD Coefficient pointer */
@@ -352,15 +357,13 @@
 #endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
 
     /* writing output(xd', yd') in little endian format */
-    _SIMD32_OFFSET(pSrc16 + (2u * i3)) =
+    _SIMD32_OFFSET(pSi3) =
       ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
+    pSi3 += 2;
 
     /*  Twiddle coefficients index modifier */
     ic = ic + twidCoefModifier;
 
-    /*  Updating input index */
-    i0 = i0 + 1u;
-
   } while(--j);
   /* data is in 4.11(q11) format */
 
@@ -389,22 +392,21 @@
 
       /*  Twiddle coefficients index modifier */
       ic = ic + twidCoefModifier;
+      
+      pSi0 = pSrc16 + 2 * j;
+      pSi1 = pSi0 + 2 * n2;
+      pSi2 = pSi1 + 2 * n2;
+      pSi3 = pSi2 + 2 * n2;
 
       /*  Butterfly implementation */
       for (i0 = j; i0 < fftLen; i0 += n1)
       {
-        /*  index calculation for the input as, */
-        /*  pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
-        i1 = i0 + n2;
-        i2 = i1 + n2;
-        i3 = i2 + n2;
-
         /*  Reading i0, i0+fftLen/2 inputs */
         /* Read ya (real), xa(imag) input */
-        T = _SIMD32_OFFSET(pSrc16 + (2u * i0));
+        T = _SIMD32_OFFSET(pSi0);
 
         /* Read yc (real), xc(imag) input */
-        S = _SIMD32_OFFSET(pSrc16 + (2u * i2));
+        S = _SIMD32_OFFSET(pSi2);
 
         /* R = packed( (ya + yc), (xa + xc)) */
         R = __QADD16(T, S);
@@ -414,10 +416,10 @@
 
         /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
         /* Read yb (real), xb(imag) input */
-        T = _SIMD32_OFFSET(pSrc16 + (2u * i1));
+        T = _SIMD32_OFFSET(pSi1);
 
         /* Read yd (real), xd(imag) input */
-        U = _SIMD32_OFFSET(pSrc16 + (2u * i3));
+        U = _SIMD32_OFFSET(pSi3);
 
         /* T = packed( (yb + yd), (xb + xd)) */
         T = __QADD16(T, U);
@@ -427,9 +429,9 @@
         /* xa' = xa + xb + xc + xd */
         /* ya' = ya + yb + yc + yd */
         out1 = __SHADD16(R, T);
-        in = ((int16_t) (out1 & 0xFFFF)) >> 1;
-        out1 = ((out1 >> 1) & 0xFFFF0000) | (in & 0xFFFF);
-        _SIMD32_OFFSET(pSrc16 + (2u * i0)) = out1;
+        out1 = __SHADD16(out1, 0);
+        _SIMD32_OFFSET(pSi0) = out1;
+        pSi0 += 2 * n1;
 
         /* R = packed( (ya + yc) - (yb + yd), (xa + xc) - (xb + xd)) */
         R = __SHSUB16(R, T);
@@ -454,18 +456,19 @@
 
         /*  Reading i0+3fftLen/4 */
         /* Read yb (real), xb(imag) input */
-        T = _SIMD32_OFFSET(pSrc16 + (2u * i1));
+        T = _SIMD32_OFFSET(pSi1);
 
         /*  writing the butterfly processed i0 + fftLen/4 sample */
         /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
         /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
-        _SIMD32_OFFSET(pSrc16 + (2u * i1)) =
+        _SIMD32_OFFSET(pSi1) =
           ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
+        pSi1 += 2 * n1;
 
         /*  Butterfly calculations */
 
         /* Read yd (real), xd(imag) input */
-        U = _SIMD32_OFFSET(pSrc16 + (2u * i3));
+        U = _SIMD32_OFFSET(pSi3);
 
         /* T = packed(yb-yd, xb-xd) */
         T = __QSUB16(T, U);
@@ -500,8 +503,9 @@
 
         /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
         /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
-        _SIMD32_OFFSET(pSrc16 + (2u * i2)) =
+        _SIMD32_OFFSET(pSi2) =
           ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
+        pSi2 += 2 * n1;
 
         /*  Butterfly process for the i0+3fftLen/4 sample */
 
@@ -519,8 +523,9 @@
 
         /* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */
         /* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */
-        _SIMD32_OFFSET(pSrc16 + (2u * i3)) =
+        _SIMD32_OFFSET(pSi3) =
           ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
+        pSi3 += 2 * n1;
       }
     }
     /*  Twiddle coefficients index modifier */
@@ -711,9 +716,9 @@
     Si2 = pCoef16[(2u * ic * 2u) + 1];
 
     /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
-    out1 = (short) ((Co2 * R0 + Si2 * R1) >> 16u);
+    out1 = (q15_t) ((Co2 * R0 + Si2 * R1) >> 16u);
     /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
-    out2 = (short) ((-Si2 * R0 + Co2 * R1) >> 16u);
+    out2 = (q15_t) ((-Si2 * R0 + Co2 * R1) >> 16u);
 
     /*  Reading i0+fftLen/4 */
     /* input is down scale by 4 to avoid overflow */
@@ -737,21 +742,21 @@
     T1 = __SSAT(T1 - U1, 16);
 
     /* R1 = (ya-yc) + (xb- xd),  R0 = (xa-xc) - (yb-yd)) */
-    R0 = (short) __SSAT((q31_t) (S0 - T1), 16);
-    R1 = (short) __SSAT((q31_t) (S1 + T0), 16);
+    R0 = (q15_t) __SSAT((q31_t) (S0 - T1), 16);
+    R1 = (q15_t) __SSAT((q31_t) (S1 + T0), 16);
 
     /* S1 = (ya-yc) - (xb- xd), S0 = (xa-xc) + (yb-yd)) */
-    S0 = (short) __SSAT(((q31_t) S0 + T1), 16u);
-    S1 = (short) __SSAT(((q31_t) S1 - T0), 16u);
+    S0 = (q15_t) __SSAT(((q31_t) S0 + T1), 16u);
+    S1 = (q15_t) __SSAT(((q31_t) S1 - T0), 16u);
 
     /* co1 & si1 are read from Coefficient pointer */
     Co1 = pCoef16[ic * 2u];
     Si1 = pCoef16[(ic * 2u) + 1];
     /*  Butterfly process for the i0+fftLen/2 sample */
     /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
-    out1 = (short) ((Si1 * S1 + Co1 * S0) >> 16);
+    out1 = (q15_t) ((Si1 * S1 + Co1 * S0) >> 16);
     /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
-    out2 = (short) ((-Si1 * S0 + Co1 * S1) >> 16);
+    out2 = (q15_t) ((-Si1 * S0 + Co1 * S1) >> 16);
 
     /* writing output(xb', yb') in little endian format */
     pSrc16[i2 * 2u] = out1;
@@ -762,9 +767,9 @@
     Si3 = pCoef16[(3u * (ic * 2u)) + 1];
     /*  Butterfly process for the i0+3fftLen/4 sample */
     /* xd' = (xa-yb-xc+yd)* Co3 + (ya+xb-yc-xd)* (si3) */
-    out1 = (short) ((Si3 * R1 + Co3 * R0) >> 16u);
+    out1 = (q15_t) ((Si3 * R1 + Co3 * R0) >> 16u);
     /* yd' = (ya+xb-yc-xd)* Co3 - (xa-yb-xc+yd)* (si3) */
-    out2 = (short) ((-Si3 * R0 + Co3 * R1) >> 16u);
+    out2 = (q15_t) ((-Si3 * R0 + Co3 * R1) >> 16u);
     /* writing output(xd', yd') in little endian format */
     pSrc16[i3 * 2u] = out1;
     pSrc16[(i3 * 2u) + 1] = out2;
@@ -862,10 +867,10 @@
         R1 = (R1 >> 1u) - (T1 >> 1u);
 
         /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */
-        out1 = (short) ((Co2 * R0 + Si2 * R1) >> 16u);
+        out1 = (q15_t) ((Co2 * R0 + Si2 * R1) >> 16u);
 
         /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
-        out2 = (short) ((-Si2 * R0 + Co2 * R1) >> 16u);
+        out2 = (q15_t) ((-Si2 * R0 + Co2 * R1) >> 16u);
 
         /*  Reading i0+3fftLen/4 */
         /* Read yb (real), xb(imag) input */
@@ -897,9 +902,9 @@
         S1 = (S1 >> 1u) - (T0 >> 1u);
 
         /*  Butterfly process for the i0+fftLen/2 sample */
-        out1 = (short) ((Co1 * S0 + Si1 * S1) >> 16u);
+        out1 = (q15_t) ((Co1 * S0 + Si1 * S1) >> 16u);
 
-        out2 = (short) ((-Si1 * S0 + Co1 * S1) >> 16u);
+        out2 = (q15_t) ((-Si1 * S0 + Co1 * S1) >> 16u);
 
         /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
         /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
@@ -907,9 +912,9 @@
         pSrc16[(i2 * 2u) + 1u] = out2;
 
         /*  Butterfly process for the i0+3fftLen/4 sample */
-        out1 = (short) ((Si3 * R1 + Co3 * R0) >> 16u);
+        out1 = (q15_t) ((Si3 * R1 + Co3 * R0) >> 16u);
 
-        out2 = (short) ((-Si3 * R0 + Co3 * R1) >> 16u);
+        out2 = (q15_t) ((-Si3 * R0 + Co3 * R1) >> 16u);
         /* xd' = (xa-yb-xc+yd)* Co3 + (ya+xb-yc-xd)* (si3) */
         /* yd' = (ya+xb-yc-xd)* Co3 - (xa-yb-xc+yd)* (si3) */
         pSrc16[i3 * 2u] = out1;
@@ -1085,12 +1090,13 @@
 
   q31_t R, S, T, U;
   q31_t C1, C2, C3, out1, out2;
-  uint32_t n1, n2, ic, i0, i1, i2, i3, j, k;
-  q15_t in;
+  uint32_t n1, n2, ic, i0, j, k;
 
   q15_t *ptr1;
-
-
+  q15_t *pSi0;
+  q15_t *pSi1;
+  q15_t *pSi2;
+  q15_t *pSi3;
 
   q31_t xaya, xbyb, xcyc, xdyd;
 
@@ -1109,8 +1115,12 @@
   ic = 0u;
 
   /* Index for input read and output write */
-  i0 = 0u;
   j = n2;
+  
+  pSi0 = pSrc16;
+  pSi1 = pSi0 + 2 * n2;
+  pSi2 = pSi1 + 2 * n2;
+  pSi3 = pSi2 + 2 * n2;
 
   /* Input is in 1.15(q15) format */
 
@@ -1119,22 +1129,16 @@
   {
     /*  Butterfly implementation */
 
-    /*  index calculation for the input as, */
-    /*  pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
-    i1 = i0 + n2;
-    i2 = i1 + n2;
-    i3 = i2 + n2;
-
     /*  Reading i0, i0+fftLen/2 inputs */
     /* Read ya (real), xa(imag) input */
-    T = _SIMD32_OFFSET(pSrc16 + (2u * i0));
-    in = ((int16_t) (T & 0xFFFF)) >> 2;
-    T = ((T >> 2) & 0xFFFF0000) | (in & 0xFFFF);
+    T = _SIMD32_OFFSET(pSi0);
+    T = __SHADD16(T, 0);
+    T = __SHADD16(T, 0);
 
     /* Read yc (real), xc(imag) input */
-    S = _SIMD32_OFFSET(pSrc16 + (2u * i2));
-    in = ((int16_t) (S & 0xFFFF)) >> 2;
-    S = ((S >> 2) & 0xFFFF0000) | (in & 0xFFFF);
+    S = _SIMD32_OFFSET(pSi2);
+    S = __SHADD16(S, 0);
+    S = __SHADD16(S, 0);
 
     /* R = packed((ya + yc), (xa + xc) ) */
     R = __QADD16(T, S);
@@ -1144,14 +1148,14 @@
 
     /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
     /* Read yb (real), xb(imag) input */
-    T = _SIMD32_OFFSET(pSrc16 + (2u * i1));
-    in = ((int16_t) (T & 0xFFFF)) >> 2;
-    T = ((T >> 2) & 0xFFFF0000) | (in & 0xFFFF);
+    T = _SIMD32_OFFSET(pSi1);
+    T = __SHADD16(T, 0);
+    T = __SHADD16(T, 0);
 
     /* Read yd (real), xd(imag) input */
-    U = _SIMD32_OFFSET(pSrc16 + (2u * i3));
-    in = ((int16_t) (U & 0xFFFF)) >> 2;
-    U = ((U >> 2) & 0xFFFF0000) | (in & 0xFFFF);
+    U = _SIMD32_OFFSET(pSi3);
+    U = __SHADD16(U, 0);
+    U = __SHADD16(U, 0);
 
     /* T = packed((yb + yd), (xb + xd) ) */
     T = __QADD16(T, U);
@@ -1159,7 +1163,8 @@
     /*  writing the butterfly processed i0 sample */
     /* xa' = xa + xb + xc + xd */
     /* ya' = ya + yb + yc + yd */
-    _SIMD32_OFFSET(pSrc16 + (2u * i0)) = __SHADD16(R, T);
+    _SIMD32_OFFSET(pSi0) = __SHADD16(R, T);
+    pSi0 += 2;
 
     /* R = packed((ya + yc) - (yb + yd), (xa + xc)- (xb + xd)) */
     R = __QSUB16(R, T);
@@ -1185,20 +1190,21 @@
 
     /*  Reading i0+fftLen/4 */
     /* T = packed(yb, xb) */
-    T = _SIMD32_OFFSET(pSrc16 + (2u * i1));
-    in = ((int16_t) (T & 0xFFFF)) >> 2;
-    T = ((T >> 2) & 0xFFFF0000) | (in & 0xFFFF);
+    T = _SIMD32_OFFSET(pSi1);
+    T = __SHADD16(T, 0);
+    T = __SHADD16(T, 0);
 
     /* writing the butterfly processed i0 + fftLen/4 sample */
     /* writing output(xc', yc') in little endian format */
-    _SIMD32_OFFSET(pSrc16 + (2u * i1)) =
+    _SIMD32_OFFSET(pSi1) =
       (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
+    pSi1 += 2;
 
     /*  Butterfly calculations */
     /* U = packed(yd, xd) */
-    U = _SIMD32_OFFSET(pSrc16 + (2u * i3));
-    in = ((int16_t) (U & 0xFFFF)) >> 2;
-    U = ((U >> 2) & 0xFFFF0000) | (in & 0xFFFF);
+    U = _SIMD32_OFFSET(pSi3);
+    U = __SHADD16(U, 0);
+    U = __SHADD16(U, 0);
 
     /* T = packed(yb-yd, xb-xd) */
     T = __QSUB16(T, U);
@@ -1240,8 +1246,9 @@
 #endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
 
     /* writing output(xb', yb') in little endian format */
-    _SIMD32_OFFSET(pSrc16 + (2u * i2)) =
+    _SIMD32_OFFSET(pSi2) =
       ((out2) & 0xFFFF0000) | ((out1) & 0x0000FFFF);
+    pSi2 += 2;
 
 
     /* co3 & si3 are read from SIMD Coefficient pointer */
@@ -1265,15 +1272,13 @@
 #endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
 
     /* writing output(xd', yd') in little endian format */
-    _SIMD32_OFFSET(pSrc16 + (2u * i3)) =
+    _SIMD32_OFFSET(pSi3) =
       ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
+    pSi3 += 2;
 
     /*  Twiddle coefficients index modifier */
     ic = ic + twidCoefModifier;
 
-    /*  Updating input index */
-    i0 = i0 + 1u;
-
   } while(--j);
   /* data is in 4.11(q11) format */
 
@@ -1302,22 +1307,21 @@
 
       /*  Twiddle coefficients index modifier */
       ic = ic + twidCoefModifier;
+      
+      pSi0 = pSrc16 + 2 * j;
+      pSi1 = pSi0 + 2 * n2;
+      pSi2 = pSi1 + 2 * n2;
+      pSi3 = pSi2 + 2 * n2;
 
       /*  Butterfly implementation */
       for (i0 = j; i0 < fftLen; i0 += n1)
       {
-        /*  index calculation for the input as, */
-        /*  pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
-        i1 = i0 + n2;
-        i2 = i1 + n2;
-        i3 = i2 + n2;
-
         /*  Reading i0, i0+fftLen/2 inputs */
         /* Read ya (real), xa(imag) input */
-        T = _SIMD32_OFFSET(pSrc16 + (2u * i0));
+        T = _SIMD32_OFFSET(pSi0);
 
         /* Read yc (real), xc(imag) input */
-        S = _SIMD32_OFFSET(pSrc16 + (2u * i2));
+        S = _SIMD32_OFFSET(pSi2);
 
         /* R = packed( (ya + yc), (xa + xc)) */
         R = __QADD16(T, S);
@@ -1327,10 +1331,10 @@
 
         /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
         /* Read yb (real), xb(imag) input */
-        T = _SIMD32_OFFSET(pSrc16 + (2u * i1));
+        T = _SIMD32_OFFSET(pSi1);
 
         /* Read yd (real), xd(imag) input */
-        U = _SIMD32_OFFSET(pSrc16 + (2u * i3));
+        U = _SIMD32_OFFSET(pSi3);
 
         /* T = packed( (yb + yd), (xb + xd)) */
         T = __QADD16(T, U);
@@ -1340,9 +1344,9 @@
         /* xa' = xa + xb + xc + xd */
         /* ya' = ya + yb + yc + yd */
         out1 = __SHADD16(R, T);
-        in = ((int16_t) (out1 & 0xFFFF)) >> 1;
-        out1 = ((out1 >> 1) & 0xFFFF0000) | (in & 0xFFFF);
-        _SIMD32_OFFSET(pSrc16 + (2u * i0)) = out1;
+        out1 = __SHADD16(out1, 0);
+        _SIMD32_OFFSET(pSi0) = out1;
+        pSi0 += 2 * n1;
 
         /* R = packed( (ya + yc) - (yb + yd), (xa + xc) - (xb + xd)) */
         R = __SHSUB16(R, T);
@@ -1367,18 +1371,19 @@
 
         /*  Reading i0+3fftLen/4 */
         /* Read yb (real), xb(imag) input */
-        T = _SIMD32_OFFSET(pSrc16 + (2u * i1));
+        T = _SIMD32_OFFSET(pSi1);
 
         /*  writing the butterfly processed i0 + fftLen/4 sample */
         /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
         /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
-        _SIMD32_OFFSET(pSrc16 + (2u * i1)) =
+        _SIMD32_OFFSET(pSi1) =
           ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
+        pSi1 += 2 * n1;
 
         /*  Butterfly calculations */
 
         /* Read yd (real), xd(imag) input */
-        U = _SIMD32_OFFSET(pSrc16 + (2u * i3));
+        U = _SIMD32_OFFSET(pSi3);
 
         /* T = packed(yb-yd, xb-xd) */
         T = __QSUB16(T, U);
@@ -1413,8 +1418,9 @@
 
         /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
         /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
-        _SIMD32_OFFSET(pSrc16 + (2u * i2)) =
+        _SIMD32_OFFSET(pSi2) =
           ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
+        pSi2 += 2 * n1;
 
         /*  Butterfly process for the i0+3fftLen/4 sample */
 
@@ -1432,8 +1438,9 @@
 
         /* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */
         /* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */
-        _SIMD32_OFFSET(pSrc16 + (2u * i3)) =
+        _SIMD32_OFFSET(pSi3) =
           ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
+        pSi3 += 2 * n1;
       }
     }
     /*  Twiddle coefficients index modifier */
@@ -1615,9 +1622,9 @@
     Co2 = pCoef16[2u * ic * 2u];
     Si2 = pCoef16[(2u * ic * 2u) + 1u];
     /* xc' = (xa-xb+xc-xd)* co2 - (ya-yb+yc-yd)* (si2) */
-    out1 = (short) ((Co2 * R0 - Si2 * R1) >> 16u);
+    out1 = (q15_t) ((Co2 * R0 - Si2 * R1) >> 16u);
     /* yc' = (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2) */
-    out2 = (short) ((Si2 * R0 + Co2 * R1) >> 16u);
+    out2 = (q15_t) ((Si2 * R0 + Co2 * R1) >> 16u);
 
     /*  Reading i0+fftLen/4 */
     /* input is down scale by 4 to avoid overflow */
@@ -1640,20 +1647,20 @@
     T0 = __SSAT(T0 - U0, 16u);
     T1 = __SSAT(T1 - U1, 16u);
     /* R0 = (ya-yc) - (xb- xd) , R1 = (xa-xc) + (yb-yd) */
-    R0 = (short) __SSAT((q31_t) (S0 + T1), 16);
-    R1 = (short) __SSAT((q31_t) (S1 - T0), 16);
+    R0 = (q15_t) __SSAT((q31_t) (S0 + T1), 16);
+    R1 = (q15_t) __SSAT((q31_t) (S1 - T0), 16);
     /* S = (ya-yc) + (xb- xd), S1 = (xa-xc) - (yb-yd) */
-    S0 = (short) __SSAT((q31_t) (S0 - T1), 16);
-    S1 = (short) __SSAT((q31_t) (S1 + T0), 16);
+    S0 = (q15_t) __SSAT((q31_t) (S0 - T1), 16);
+    S1 = (q15_t) __SSAT((q31_t) (S1 + T0), 16);
 
     /* co1 & si1 are read from Coefficient pointer */
     Co1 = pCoef16[ic * 2u];
     Si1 = pCoef16[(ic * 2u) + 1u];
     /*  Butterfly process for the i0+fftLen/2 sample */
     /* xb' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1) */
-    out1 = (short) ((Co1 * S0 - Si1 * S1) >> 16u);
+    out1 = (q15_t) ((Co1 * S0 - Si1 * S1) >> 16u);
     /* yb' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1) */
-    out2 = (short) ((Si1 * S0 + Co1 * S1) >> 16u);
+    out2 = (q15_t) ((Si1 * S0 + Co1 * S1) >> 16u);
     /* writing output(xb', yb') in little endian format */
     pSrc16[i2 * 2u] = out1;
     pSrc16[(i2 * 2u) + 1u] = out2;
@@ -1663,9 +1670,9 @@
     Si3 = pCoef16[(3u * ic * 2u) + 1u];
     /*  Butterfly process for the i0+3fftLen/4 sample */
     /* xd' = (xa+yb-xc-yd)* Co3 - (ya-xb-yc+xd)* (si3) */
-    out1 = (short) ((Co3 * R0 - Si3 * R1) >> 16u);
+    out1 = (q15_t) ((Co3 * R0 - Si3 * R1) >> 16u);
     /* yd' = (ya-xb-yc+xd)* Co3 + (xa+yb-xc-yd)* (si3) */
-    out2 = (short) ((Si3 * R0 + Co3 * R1) >> 16u);
+    out2 = (q15_t) ((Si3 * R0 + Co3 * R1) >> 16u);
     /* writing output(xd', yd') in little endian format */
     pSrc16[i3 * 2u] = out1;
     pSrc16[(i3 * 2u) + 1u] = out2;
@@ -1759,9 +1766,9 @@
         R1 = (R1 >> 1u) - (T1 >> 1u);
 
         /* (ya-yb+yc-yd)* (si2) - (xa-xb+xc-xd)* co2 */
-        out1 = (short) ((Co2 * R0 - Si2 * R1) >> 16);
+        out1 = (q15_t) ((Co2 * R0 - Si2 * R1) >> 16);
         /* (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2) */
-        out2 = (short) ((Si2 * R0 + Co2 * R1) >> 16);
+        out2 = (q15_t) ((Si2 * R0 + Co2 * R1) >> 16);
 
         /*  Reading i0+3fftLen/4 */
         /* Read yb (real), xb(imag) input */
@@ -1792,17 +1799,17 @@
         S1 = (S1 >> 1u) + (T0 >> 1u);
 
         /*  Butterfly process for the i0+fftLen/2 sample */
-        out1 = (short) ((Co1 * S0 - Si1 * S1) >> 16u);
-        out2 = (short) ((Si1 * S0 + Co1 * S1) >> 16u);
+        out1 = (q15_t) ((Co1 * S0 - Si1 * S1) >> 16u);
+        out2 = (q15_t) ((Si1 * S0 + Co1 * S1) >> 16u);
         /* xb' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1) */
         /* yb' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1) */
         pSrc16[i2 * 2u] = out1;
         pSrc16[(i2 * 2u) + 1u] = out2;
 
         /*  Butterfly process for the i0+3fftLen/4 sample */
-        out1 = (short) ((Co3 * R0 - Si3 * R1) >> 16u);
+        out1 = (q15_t) ((Co3 * R0 - Si3 * R1) >> 16u);
 
-        out2 = (short) ((Si3 * R0 + Co3 * R1) >> 16u);
+        out2 = (q15_t) ((Si3 * R0 + Co3 * R1) >> 16u);
         /* xd' = (xa+yb-xc-yd)* Co3 - (ya-xb-yc+xd)* (si3) */
         /* yd' = (ya-xb-yc+xd)* Co3 + (xa+yb-xc-yd)* (si3) */
         pSrc16[i3 * 2u] = out1;

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/TransformFunctions/arm_cfft_radix4_q31.c
--- a/cmsis_dsp/TransformFunctions/arm_cfft_radix4_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/TransformFunctions/arm_cfft_radix4_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013  
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_cfft_radix4_q31.c    
@@ -71,6 +71,7 @@
 /**    
  * @details    
  * @brief Processing function for the Q31 CFFT/CIFFT.    
+ * @deprecated Do not use this function.  It has been superseded by \ref arm_cfft_q31 and will be removed
  * @param[in]      *S    points to an instance of the Q31 CFFT/CIFFT structure.   
  * @param[in, out] *pSrc points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place.   
  * @return none.    
@@ -165,6 +166,7 @@
   q31_t * pCoef,
   uint32_t twidCoefModifier)
 {
+#if defined(ARM_MATH_CM7)
   uint32_t n1, n2, ia1, ia2, ia3, i0, i1, i2, i3, j, k;
   q31_t t1, t2, r1, r2, s1, s2, co1, co2, co3, si1, si2, si3;
 
@@ -402,6 +404,256 @@
     }
     twidCoefModifier <<= 2u;
   }
+#else
+  uint32_t n1, n2, ia1, ia2, ia3, i0, j, k;
+  q31_t t1, t2, r1, r2, s1, s2, co1, co2, co3, si1, si2, si3;
+
+  q31_t xa, xb, xc, xd;
+  q31_t ya, yb, yc, yd;
+  q31_t xa_out, xb_out, xc_out, xd_out;
+  q31_t ya_out, yb_out, yc_out, yd_out;
+
+  q31_t *ptr1;
+  q31_t *pSi0;
+  q31_t *pSi1;
+  q31_t *pSi2;
+  q31_t *pSi3;
+  q63_t xaya, xbyb, xcyc, xdyd;
+  /* Total process is divided into three stages */
+
+  /* process first stage, middle stages, & last stage */
+
+
+  /* start of first stage process */
+
+  /*  Initializations for the first stage */
+  n2 = fftLen;
+  n1 = n2;
+  /* n2 = fftLen/4 */
+  n2 >>= 2u;
+
+  ia1 = 0u;
+
+  j = n2;
+  
+  pSi0 = pSrc;
+  pSi1 = pSi0 + 2 * n2;
+  pSi2 = pSi1 + 2 * n2;
+  pSi3 = pSi2 + 2 * n2;
+
+  /*  Calculation of first stage */
+  do
+  {
+    /* input is in 1.31(q31) format and provide 4 guard bits for the input */
+
+    /*  Butterfly implementation */
+    /* xa + xc */
+    r1 = (pSi0[0] >> 4u) + (pSi2[0] >> 4u);
+    /* xa - xc */
+    r2 = (pSi0[0] >> 4u) - (pSi2[0] >> 4u);
+
+    /* xb + xd */
+    t1 = (pSi1[0] >> 4u) + (pSi3[0] >> 4u);
+
+    /* ya + yc */
+    s1 = (pSi0[1] >> 4u) + (pSi2[1] >> 4u);
+    /* ya - yc */
+    s2 = (pSi0[1] >> 4u) - (pSi2[1] >> 4u);
+
+    /* xa' = xa + xb + xc + xd */
+    *pSi0++ = (r1 + t1);
+    /* (xa + xc) - (xb + xd) */
+    r1 = r1 - t1;
+    /* yb + yd */
+    t2 = (pSi1[1] >> 4u) + (pSi3[1] >> 4u);
+
+    /* ya' = ya + yb + yc + yd */
+    *pSi0++ = (s1 + t2);
+
+    /* (ya + yc) - (yb + yd) */
+    s1 = s1 - t2;
+
+    /* yb - yd */
+    t1 = (pSi1[1] >> 4u) - (pSi3[1] >> 4u);
+    /* xb - xd */
+    t2 = (pSi1[0] >> 4u) - (pSi3[0] >> 4u);
+
+    /*  index calculation for the coefficients */
+    ia2 = 2u * ia1;
+    co2 = pCoef[ia2 * 2u];
+    si2 = pCoef[(ia2 * 2u) + 1u];
+
+    /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
+    *pSi1++ = (((int32_t) (((q63_t) r1 * co2) >> 32)) +
+                     ((int32_t) (((q63_t) s1 * si2) >> 32))) << 1u;
+
+    /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
+    *pSi1++ = (((int32_t) (((q63_t) s1 * co2) >> 32)) -
+                            ((int32_t) (((q63_t) r1 * si2) >> 32))) << 1u;
+
+    /* (xa - xc) + (yb - yd) */
+    r1 = r2 + t1;
+    /* (xa - xc) - (yb - yd) */
+    r2 = r2 - t1;
+
+    /* (ya - yc) - (xb - xd) */
+    s1 = s2 - t2;
+    /* (ya - yc) + (xb - xd) */
+    s2 = s2 + t2;
+
+    co1 = pCoef[ia1 * 2u];
+    si1 = pCoef[(ia1 * 2u) + 1u];
+
+    /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
+    *pSi2++ = (((int32_t) (((q63_t) r1 * co1) >> 32)) +
+                     ((int32_t) (((q63_t) s1 * si1) >> 32))) << 1u;
+
+    /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
+    *pSi2++ = (((int32_t) (((q63_t) s1 * co1) >> 32)) -
+                            ((int32_t) (((q63_t) r1 * si1) >> 32))) << 1u;
+
+    /*  index calculation for the coefficients */
+    ia3 = 3u * ia1;
+    co3 = pCoef[ia3 * 2u];
+    si3 = pCoef[(ia3 * 2u) + 1u];
+
+    /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
+    *pSi3++ = (((int32_t) (((q63_t) r2 * co3) >> 32)) +
+                     ((int32_t) (((q63_t) s2 * si3) >> 32))) << 1u;
+
+    /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
+    *pSi3++ = (((int32_t) (((q63_t) s2 * co3) >> 32)) -
+                            ((int32_t) (((q63_t) r2 * si3) >> 32))) << 1u;
+
+    /*  Twiddle coefficients index modifier */
+    ia1 = ia1 + twidCoefModifier;
+
+  } while(--j);
+
+  /* end of first stage process */
+
+  /* data is in 5.27(q27) format */
+
+
+  /* start of Middle stages process */
+
+
+  /* each stage in middle stages provides two down scaling of the input */
+
+  twidCoefModifier <<= 2u;
+
+
+  for (k = fftLen / 4u; k > 4u; k >>= 2u)
+  {
+    /*  Initializations for the first stage */
+    n1 = n2;
+    n2 >>= 2u;
+    ia1 = 0u;
+
+    /*  Calculation of first stage */
+    for (j = 0u; j <= (n2 - 1u); j++)
+    {
+      /*  index calculation for the coefficients */
+      ia2 = ia1 + ia1;
+      ia3 = ia2 + ia1;
+      co1 = pCoef[ia1 * 2u];
+      si1 = pCoef[(ia1 * 2u) + 1u];
+      co2 = pCoef[ia2 * 2u];
+      si2 = pCoef[(ia2 * 2u) + 1u];
+      co3 = pCoef[ia3 * 2u];
+      si3 = pCoef[(ia3 * 2u) + 1u];
+      /*  Twiddle coefficients index modifier */
+      ia1 = ia1 + twidCoefModifier;
+      
+      pSi0 = pSrc + 2 * j;
+      pSi1 = pSi0 + 2 * n2;
+      pSi2 = pSi1 + 2 * n2;
+      pSi3 = pSi2 + 2 * n2;
+
+      for (i0 = j; i0 < fftLen; i0 += n1)
+      {
+        /*  Butterfly implementation */
+        /* xa + xc */
+        r1 = pSi0[0] + pSi2[0];
+
+        /* xa - xc */
+        r2 = pSi0[0] - pSi2[0];
+
+
+        /* ya + yc */
+        s1 = pSi0[1] + pSi2[1];
+
+        /* ya - yc */
+        s2 = pSi0[1] - pSi2[1];
+
+
+        /* xb + xd */
+        t1 = pSi1[0] + pSi3[0];
+
+
+        /* xa' = xa + xb + xc + xd */
+        pSi0[0] = (r1 + t1) >> 2u;
+        /* xa + xc -(xb + xd) */
+        r1 = r1 - t1;
+
+        /* yb + yd */
+        t2 = pSi1[1] + pSi3[1];
+
+        /* ya' = ya + yb + yc + yd */
+        pSi0[1] = (s1 + t2) >> 2u;
+        pSi0 += 2 * n1;
+
+        /* (ya + yc) - (yb + yd) */
+        s1 = s1 - t2;
+
+        /* (yb - yd) */
+        t1 = pSi1[1] - pSi3[1];
+
+        /* (xb - xd) */
+        t2 = pSi1[0] - pSi3[0];
+
+
+        /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
+        pSi1[0] = (((int32_t) (((q63_t) r1 * co2) >> 32)) +
+                         ((int32_t) (((q63_t) s1 * si2) >> 32))) >> 1u;
+
+        /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
+        pSi1[1] = (((int32_t) (((q63_t) s1 * co2) >> 32)) -
+                                ((int32_t) (((q63_t) r1 * si2) >> 32))) >> 1u;
+        pSi1 += 2 * n1;
+
+        /* (xa - xc) + (yb - yd) */
+        r1 = r2 + t1;
+        /* (xa - xc) - (yb - yd) */
+        r2 = r2 - t1;
+
+        /* (ya - yc) -  (xb - xd) */
+        s1 = s2 - t2;
+        /* (ya - yc) +  (xb - xd) */
+        s2 = s2 + t2;
+
+        /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
+        pSi2[0] = (((int32_t) (((q63_t) r1 * co1) >> 32)) +
+                         ((int32_t) (((q63_t) s1 * si1) >> 32))) >> 1u;
+
+        /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
+        pSi2[1] = (((int32_t) (((q63_t) s1 * co1) >> 32)) -
+                                ((int32_t) (((q63_t) r1 * si1) >> 32))) >> 1u;
+        pSi2 += 2 * n1;
+
+        /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
+        pSi3[0] = (((int32_t) (((q63_t) r2 * co3) >> 32)) +
+                         ((int32_t) (((q63_t) s2 * si3) >> 32))) >> 1u;
+
+        /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
+        pSi3[1] = (((int32_t) (((q63_t) s2 * co3) >> 32)) -
+                                ((int32_t) (((q63_t) r2 * si3) >> 32))) >> 1u;
+        pSi3 += 2 * n1;
+      }
+    }
+    twidCoefModifier <<= 2u;
+  }
+#endif
 
   /* End of Middle stages process */
 
@@ -570,6 +822,7 @@
   q31_t * pCoef,
   uint32_t twidCoefModifier)
 {
+#if defined(ARM_MATH_CM7)
   uint32_t n1, n2, ia1, ia2, ia3, i0, i1, i2, i3, j, k;
   q31_t t1, t2, r1, r2, s1, s2, co1, co2, co3, si1, si2, si3;
   q31_t xa, xb, xc, xd;
@@ -800,6 +1053,247 @@
     }
     twidCoefModifier <<= 2u;
   }
+#else
+  uint32_t n1, n2, ia1, ia2, ia3, i0, j, k;
+  q31_t t1, t2, r1, r2, s1, s2, co1, co2, co3, si1, si2, si3;
+  q31_t xa, xb, xc, xd;
+  q31_t ya, yb, yc, yd;
+  q31_t xa_out, xb_out, xc_out, xd_out;
+  q31_t ya_out, yb_out, yc_out, yd_out;
+
+  q31_t *ptr1;
+  q31_t *pSi0;
+  q31_t *pSi1;
+  q31_t *pSi2;
+  q31_t *pSi3;
+  q63_t xaya, xbyb, xcyc, xdyd;
+
+  /* input is be 1.31(q31) format for all FFT sizes */
+  /* Total process is divided into three stages */
+  /* process first stage, middle stages, & last stage */
+
+  /* Start of first stage process */
+
+  /* Initializations for the first stage */
+  n2 = fftLen;
+  n1 = n2;
+  /* n2 = fftLen/4 */
+  n2 >>= 2u;
+
+  ia1 = 0u;
+
+  j = n2;
+  
+  pSi0 = pSrc;
+  pSi1 = pSi0 + 2 * n2;
+  pSi2 = pSi1 + 2 * n2;
+  pSi3 = pSi2 + 2 * n2;
+
+  do
+  {
+    /*  Butterfly implementation */
+    /* xa + xc */
+    r1 = (pSi0[0] >> 4u) + (pSi2[0] >> 4u);
+    /* xa - xc */
+    r2 = (pSi0[0] >> 4u) - (pSi2[0] >> 4u);
+
+    /* xb + xd */
+    t1 = (pSi1[0] >> 4u) + (pSi3[0] >> 4u);
+
+    /* ya + yc */
+    s1 = (pSi0[1] >> 4u) + (pSi2[1] >> 4u);
+    /* ya - yc */
+    s2 = (pSi0[1] >> 4u) - (pSi2[1] >> 4u);
+
+    /* xa' = xa + xb + xc + xd */
+    *pSi0++ = (r1 + t1);
+    /* (xa + xc) - (xb + xd) */
+    r1 = r1 - t1;
+    /* yb + yd */
+    t2 = (pSi1[1] >> 4u) + (pSi3[1] >> 4u);
+    /* ya' = ya + yb + yc + yd */
+    *pSi0++ = (s1 + t2);
+
+    /* (ya + yc) - (yb + yd) */
+    s1 = s1 - t2;
+
+    /* yb - yd */
+    t1 = (pSi1[1] >> 4u) - (pSi3[1] >> 4u);
+    /* xb - xd */
+    t2 = (pSi1[0] >> 4u) - (pSi3[0] >> 4u);
+
+    /*  index calculation for the coefficients */
+    ia2 = 2u * ia1;
+    co2 = pCoef[ia2 * 2u];
+    si2 = pCoef[(ia2 * 2u) + 1u];
+
+    /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
+    *pSi1++ = (((int32_t) (((q63_t) r1 * co2) >> 32)) -
+                     ((int32_t) (((q63_t) s1 * si2) >> 32))) << 1u;
+
+    /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
+    *pSi1++ = (((int32_t) (((q63_t) s1 * co2) >> 32)) +
+                          ((int32_t) (((q63_t) r1 * si2) >> 32))) << 1u;
+
+    /* (xa - xc) - (yb - yd) */
+    r1 = r2 - t1;
+    /* (xa - xc) + (yb - yd) */
+    r2 = r2 + t1;
+
+    /* (ya - yc) + (xb - xd) */
+    s1 = s2 + t2;
+    /* (ya - yc) - (xb - xd) */
+    s2 = s2 - t2;
+
+    co1 = pCoef[ia1 * 2u];
+    si1 = pCoef[(ia1 * 2u) + 1u];
+
+    /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
+    *pSi2++ = (((int32_t) (((q63_t) r1 * co1) >> 32)) -
+                     ((int32_t) (((q63_t) s1 * si1) >> 32))) << 1u;
+
+    /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
+    *pSi2++ = (((int32_t) (((q63_t) s1 * co1) >> 32)) +
+                            ((int32_t) (((q63_t) r1 * si1) >> 32))) << 1u;
+
+    /*  index calculation for the coefficients */
+    ia3 = 3u * ia1;
+    co3 = pCoef[ia3 * 2u];
+    si3 = pCoef[(ia3 * 2u) + 1u];
+
+    /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
+    *pSi3++ = (((int32_t) (((q63_t) r2 * co3) >> 32)) -
+                     ((int32_t) (((q63_t) s2 * si3) >> 32))) << 1u;
+
+    /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
+    *pSi3++ = (((int32_t) (((q63_t) s2 * co3) >> 32)) +
+                            ((int32_t) (((q63_t) r2 * si3) >> 32))) << 1u;
+
+    /*  Twiddle coefficients index modifier */
+    ia1 = ia1 + twidCoefModifier;
+
+  } while(--j);
+
+  /* data is in 5.27(q27) format */
+  /* each stage provides two down scaling of the input */
+
+
+  /* Start of Middle stages process */
+
+  twidCoefModifier <<= 2u;
+
+  /*  Calculation of second stage to excluding last stage */
+  for (k = fftLen / 4u; k > 4u; k >>= 2u)
+  {
+    /*  Initializations for the first stage */
+    n1 = n2;
+    n2 >>= 2u;
+    ia1 = 0u;
+
+    for (j = 0; j <= (n2 - 1u); j++)
+    {
+      /*  index calculation for the coefficients */
+      ia2 = ia1 + ia1;
+      ia3 = ia2 + ia1;
+      co1 = pCoef[ia1 * 2u];
+      si1 = pCoef[(ia1 * 2u) + 1u];
+      co2 = pCoef[ia2 * 2u];
+      si2 = pCoef[(ia2 * 2u) + 1u];
+      co3 = pCoef[ia3 * 2u];
+      si3 = pCoef[(ia3 * 2u) + 1u];
+      /*  Twiddle coefficients index modifier */
+      ia1 = ia1 + twidCoefModifier;
+      
+      pSi0 = pSrc + 2 * j;
+      pSi1 = pSi0 + 2 * n2;
+      pSi2 = pSi1 + 2 * n2;
+      pSi3 = pSi2 + 2 * n2;
+
+      for (i0 = j; i0 < fftLen; i0 += n1)
+      {
+        /*  Butterfly implementation */
+        /* xa + xc */
+        r1 = pSi0[0] + pSi2[0];
+
+        /* xa - xc */
+        r2 = pSi0[0] - pSi2[0];
+
+
+        /* ya + yc */
+        s1 = pSi0[1] + pSi2[1];
+
+        /* ya - yc */
+        s2 = pSi0[1] - pSi2[1];
+
+
+        /* xb + xd */
+        t1 = pSi1[0] + pSi3[0];
+
+
+        /* xa' = xa + xb + xc + xd */
+        pSi0[0] = (r1 + t1) >> 2u;
+        /* xa + xc -(xb + xd) */
+        r1 = r1 - t1;
+        /* yb + yd */
+        t2 = pSi1[1] + pSi3[1];
+
+        /* ya' = ya + yb + yc + yd */
+        pSi0[1] = (s1 + t2) >> 2u;
+        pSi0 += 2 * n1;
+
+        /* (ya + yc) - (yb + yd) */
+        s1 = s1 - t2;
+
+        /* (yb - yd) */
+        t1 = pSi1[1] - pSi3[1];
+
+        /* (xb - xd) */
+        t2 = pSi1[0] - pSi3[0];
+
+
+        /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
+        pSi1[0] = (((int32_t) (((q63_t) r1 * co2) >> 32u)) -
+                         ((int32_t) (((q63_t) s1 * si2) >> 32u))) >> 1u;
+
+        /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
+        pSi1[1] =
+
+          (((int32_t) (((q63_t) s1 * co2) >> 32u)) +
+           ((int32_t) (((q63_t) r1 * si2) >> 32u))) >> 1u;
+        pSi1 += 2 * n1;
+
+        /* (xa - xc) - (yb - yd) */
+        r1 = r2 - t1;
+        /* (xa - xc) + (yb - yd) */
+        r2 = r2 + t1;
+
+        /* (ya - yc) +  (xb - xd) */
+        s1 = s2 + t2;
+        /* (ya - yc) -  (xb - xd) */
+        s2 = s2 - t2;
+
+        /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
+        pSi2[0] = (((int32_t) (((q63_t) r1 * co1) >> 32)) -
+                         ((int32_t) (((q63_t) s1 * si1) >> 32))) >> 1u;
+
+        /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
+        pSi2[1] = (((int32_t) (((q63_t) s1 * co1) >> 32)) +
+                                ((int32_t) (((q63_t) r1 * si1) >> 32))) >> 1u;
+        pSi2 += 2 * n1;
+
+        /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
+        pSi3[0] = (((int32_t) (((q63_t) r2 * co3) >> 32)) -
+                           ((int32_t) (((q63_t) s2 * si3) >> 32))) >> 1u;
+
+        /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
+        pSi3[1] = (((int32_t) (((q63_t) s2 * co3) >> 32)) +
+                                ((int32_t) (((q63_t) r2 * si3) >> 32))) >> 1u;
+        pSi3 += 2 * n1;
+      }
+    }
+    twidCoefModifier <<= 2u;
+  }
+#endif
 
   /* End of Middle stages process */
 
@@ -899,7 +1393,6 @@
     *ptr1++ = xd_out;
     *ptr1++ = yd_out;
 
-
   } while(--j);
 
   /* output is in 11.21(q21) format for the 1024 point */

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/TransformFunctions/arm_cfft_radix8_f32.c
--- a/cmsis_dsp/TransformFunctions/arm_cfft_radix8_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/TransformFunctions/arm_cfft_radix8_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013  
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_cfft_radix8_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/TransformFunctions/arm_dct4_f32.c
--- a/cmsis_dsp/TransformFunctions/arm_dct4_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/TransformFunctions/arm_dct4_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013  
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_dct4_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/TransformFunctions/arm_dct4_init_f32.c
--- a/cmsis_dsp/TransformFunctions/arm_dct4_init_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/TransformFunctions/arm_dct4_init_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013  
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_dct4_init_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/TransformFunctions/arm_dct4_init_q15.c
--- a/cmsis_dsp/TransformFunctions/arm_dct4_init_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/TransformFunctions/arm_dct4_init_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013  
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_dct4_init_q15.c    
@@ -4273,7 +4273,7 @@
   }
 
   /* Initialize the RFFT/RIFFT */
-  arm_rfft_init_q15(S->pRfft, S->pCfft, S->N, 0u, 1u);
+  arm_rfft_init_q15(S->pRfft, S->N, 0u, 1u);
 
   /* return the status of DCT4 Init function */
   return (status);

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/TransformFunctions/arm_dct4_init_q31.c
--- a/cmsis_dsp/TransformFunctions/arm_dct4_init_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/TransformFunctions/arm_dct4_init_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013  
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_dct4_init_q31.c    
@@ -8353,7 +8353,7 @@
   }
 
   /* Initialize the RFFT/RIFFT Function */
-  arm_rfft_init_q31(S->pRfft, S->pCfft, S->N, 0, 1);
+  arm_rfft_init_q31(S->pRfft,  S->N, 0, 1);
 
   /* return the status of DCT4 Init function */
   return (status);

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/TransformFunctions/arm_dct4_q15.c
--- a/cmsis_dsp/TransformFunctions/arm_dct4_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/TransformFunctions/arm_dct4_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013  
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_dct4_q15.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/TransformFunctions/arm_dct4_q31.c
--- a/cmsis_dsp/TransformFunctions/arm_dct4_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/TransformFunctions/arm_dct4_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013  
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_dct4_q31.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/TransformFunctions/arm_rfft_f32.c
--- a/cmsis_dsp/TransformFunctions/arm_rfft_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/TransformFunctions/arm_rfft_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013  
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_rfft_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/TransformFunctions/arm_rfft_fast_f32.c
--- a/cmsis_dsp/TransformFunctions/arm_rfft_fast_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/TransformFunctions/arm_rfft_fast_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
 *
-* $Date:        17. January 2013
-* $Revision: 	V1.4.1
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
 *
 * Project: 	    CMSIS DSP Library
 * Title:	    arm_rfft_f32.c
@@ -270,11 +270,7 @@
  * transform.
  * \par Q15 and Q31
  * The real algorithms are defined in a similar manner and utilize N/2 complex
- * transforms behind the scenes.  In the case of fixed-point data, a radix-4
- * complex transform is performed and this limits the allows sequence lengths to
- * 128, 512, and 2048 samples.
- * \par
- * TBD.  We need to document input and output order of data.
+ * transforms behind the scenes.  
  * \par
  * The complex transforms used internally include scaling to prevent fixed-point
  * overflows.  The overall scaling equals 1/(fftLen/2).
@@ -320,7 +316,7 @@
 * @brief Processing function for the floating-point real FFT.
 * @param[in]  *S              points to an arm_rfft_fast_instance_f32 structure.
 * @param[in]  *p              points to the input buffer.
-* @param[in]  *pOut           points to an arm_rfft_fast_instance_f32 structure.
+* @param[in]  *pOut           points to the output buffer.
 * @param[in]  ifftFlag        RFFT if flag is 0, RIFFT if flag is 1
 * @return none.
 */
@@ -336,7 +332,7 @@
    /* Calculation of Real FFT */
    if(ifftFlag)
    {
-      /*  Real FFT comression */
+      /*  Real FFT compression */
       merge_rfft_f32(S, p, pOut);
 
       /* Complex radix-4 IFFT process */
@@ -352,3 +348,6 @@
    }
 }
 
+/**    
+* @} end of RealFFT group    
+*/

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/TransformFunctions/arm_rfft_fast_init_f32.c
--- a/cmsis_dsp/TransformFunctions/arm_rfft_fast_init_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/TransformFunctions/arm_rfft_fast_init_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013  
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_cfft_init_f32.c   
@@ -58,13 +58,7 @@
 *   
 * \par Description:  
 * \par   
-* The parameter <code>ifftFlag</code> controls whether a forward or inverse transform is computed.   
-* Set(=1) ifftFlag for calculation of CIFFT otherwise  RFFT is calculated  
-* \par   
-* The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order.   
-* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.   
-* \par   
-* The parameter <code>fftLen</code>	Specifies length of RFFT/CIFFT process. Supported FFT Lengths are 16, 32, 64, 128, 256, 512, 1024, 2048, 4096.   
+* The parameter <code>fftLen</code>	Specifies length of RFFT/CIFFT process. Supported FFT Lengths are 32, 64, 128, 256, 512, 1024, 2048, 4096.   
 * \par   
 * This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.   
 */
@@ -79,51 +73,61 @@
   Sint = &(S->Sint);
   Sint->fftLen = fftLen/2;
   S->fftLenRFFT = fftLen;
-  /*  Initialise the Twiddle coefficient pointer */
-  //  S->pTwiddle = (float32_t *) twiddleCoef;
 
   /*  Initializations of structure parameters depending on the FFT length */
   switch (Sint->fftLen)
   {
-  case 4096u:
-    /*  Initializations of structure parameters for 4096 point FFT */
+  case 2048u:
+    /*  Initializations of structure parameters for 2048 point FFT */
     /*  Initialise the bit reversal table length */
-    Sint->bitRevLength = ARMBITREVINDEXTABLE4096_TABLE_LENGTH;
+    Sint->bitRevLength = ARMBITREVINDEXTABLE2048_TABLE_LENGTH;
     /*  Initialise the bit reversal table pointer */
-    Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable4096;
-    /*  Initialise the 1/fftLen Value */
-    break;
-  case 2048u:
-    Sint->bitRevLength = ARMBITREVINDEXTABLE2048_TABLE_LENGTH;
     Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable2048;
+    /*  Initialise the Twiddle coefficient pointers */
+		Sint->pTwiddle     = (float32_t *) twiddleCoef_2048;
+		S->pTwiddleRFFT    = (float32_t *) twiddleCoef_rfft_4096;
     break;
   case 1024u:
     Sint->bitRevLength = ARMBITREVINDEXTABLE1024_TABLE_LENGTH;
     Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable1024;
+		Sint->pTwiddle     = (float32_t *) twiddleCoef_1024;
+		S->pTwiddleRFFT    = (float32_t *) twiddleCoef_rfft_2048;
     break;
   case 512u:
     Sint->bitRevLength = ARMBITREVINDEXTABLE_512_TABLE_LENGTH;
     Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable512;
+		Sint->pTwiddle     = (float32_t *) twiddleCoef_512;
+		S->pTwiddleRFFT    = (float32_t *) twiddleCoef_rfft_1024;
     break;
   case 256u:
     Sint->bitRevLength = ARMBITREVINDEXTABLE_256_TABLE_LENGTH;
     Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable256;
+		Sint->pTwiddle     = (float32_t *) twiddleCoef_256;
+		S->pTwiddleRFFT    = (float32_t *) twiddleCoef_rfft_512;
     break;
   case 128u:
     Sint->bitRevLength = ARMBITREVINDEXTABLE_128_TABLE_LENGTH;
     Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable128;
+		Sint->pTwiddle     = (float32_t *) twiddleCoef_128;
+		S->pTwiddleRFFT    = (float32_t *) twiddleCoef_rfft_256;
     break;
   case 64u:
     Sint->bitRevLength = ARMBITREVINDEXTABLE__64_TABLE_LENGTH;
     Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable64;
+		Sint->pTwiddle     = (float32_t *) twiddleCoef_64;
+		S->pTwiddleRFFT    = (float32_t *) twiddleCoef_rfft_128;
     break;
   case 32u:
     Sint->bitRevLength = ARMBITREVINDEXTABLE__32_TABLE_LENGTH;
     Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable32;
+		Sint->pTwiddle     = (float32_t *) twiddleCoef_32;
+		S->pTwiddleRFFT    = (float32_t *) twiddleCoef_rfft_64;
     break;
   case 16u:
     Sint->bitRevLength = ARMBITREVINDEXTABLE__16_TABLE_LENGTH;
     Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable16;
+		Sint->pTwiddle     = (float32_t *) twiddleCoef_16;
+		S->pTwiddleRFFT    = (float32_t *) twiddleCoef_rfft_32;
     break;
   default:
     /*  Reporting argument error if fftSize is not valid value */

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/TransformFunctions/arm_rfft_init_f32.c
--- a/cmsis_dsp/TransformFunctions/arm_rfft_init_f32.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/TransformFunctions/arm_rfft_init_f32.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013  
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_rfft_init_f32.c    

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/TransformFunctions/arm_rfft_init_q15.c
--- a/cmsis_dsp/TransformFunctions/arm_rfft_init_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/TransformFunctions/arm_rfft_init_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013  
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_rfft_init_q15.c    
@@ -40,21 +40,23 @@
 
 
 #include "arm_math.h"
+#include "arm_common_tables.h"
+#include "arm_const_structs.h"
 
 /**    
- * @ingroup groupTransforms    
- */
+* @ingroup groupTransforms    
+*/
 
 /**    
- * @addtogroup RealFFT    
- * @{    
- */
+* @addtogroup RealFFT    
+* @{    
+*/
 
 
 
 /**    
 * \par    
-* Generation floating point real_CoefA array:    
+* Generation fixed-point realCoefAQ15 array in Q15 format:    
 * \par    
 * n = 4096    
 * <pre>for (i = 0; i < n; i++)    
@@ -66,1033 +68,1031 @@
 * Convert to fixed point Q15 format    
 *       round(pATable[i] * pow(2, 15))    
 */
-
-
 static const q15_t ALIGN4 realCoefAQ15[8192] = {
-  0x4000, 0xc000, 0x3ff3, 0xc000, 0x3fe7, 0xc000, 0x3fda, 0xc000,
-  0x3fce, 0xc000, 0x3fc1, 0xc000, 0x3fb5, 0xc000, 0x3fa8, 0xc000,
-  0x3f9b, 0xc000, 0x3f8f, 0xc000, 0x3f82, 0xc000, 0x3f76, 0xc001,
-  0x3f69, 0xc001, 0x3f5d, 0xc001, 0x3f50, 0xc001, 0x3f44, 0xc001,
-  0x3f37, 0xc001, 0x3f2a, 0xc001, 0x3f1e, 0xc002, 0x3f11, 0xc002,
-  0x3f05, 0xc002, 0x3ef8, 0xc002, 0x3eec, 0xc002, 0x3edf, 0xc003,
-  0x3ed2, 0xc003, 0x3ec6, 0xc003, 0x3eb9, 0xc003, 0x3ead, 0xc004,
-  0x3ea0, 0xc004, 0x3e94, 0xc004, 0x3e87, 0xc004, 0x3e7a, 0xc005,
-  0x3e6e, 0xc005, 0x3e61, 0xc005, 0x3e55, 0xc006, 0x3e48, 0xc006,
-  0x3e3c, 0xc006, 0x3e2f, 0xc007, 0x3e23, 0xc007, 0x3e16, 0xc007,
-  0x3e09, 0xc008, 0x3dfd, 0xc008, 0x3df0, 0xc009, 0x3de4, 0xc009,
-  0x3dd7, 0xc009, 0x3dcb, 0xc00a, 0x3dbe, 0xc00a, 0x3db2, 0xc00b,
-  0x3da5, 0xc00b, 0x3d98, 0xc00c, 0x3d8c, 0xc00c, 0x3d7f, 0xc00d,
-  0x3d73, 0xc00d, 0x3d66, 0xc00e, 0x3d5a, 0xc00e, 0x3d4d, 0xc00f,
-  0x3d40, 0xc00f, 0x3d34, 0xc010, 0x3d27, 0xc010, 0x3d1b, 0xc011,
-  0x3d0e, 0xc011, 0x3d02, 0xc012, 0x3cf5, 0xc013, 0x3ce9, 0xc013,
-  0x3cdc, 0xc014, 0x3cd0, 0xc014, 0x3cc3, 0xc015, 0x3cb6, 0xc016,
-  0x3caa, 0xc016, 0x3c9d, 0xc017, 0x3c91, 0xc018, 0x3c84, 0xc018,
-  0x3c78, 0xc019, 0x3c6b, 0xc01a, 0x3c5f, 0xc01a, 0x3c52, 0xc01b,
-  0x3c45, 0xc01c, 0x3c39, 0xc01d, 0x3c2c, 0xc01d, 0x3c20, 0xc01e,
-  0x3c13, 0xc01f, 0x3c07, 0xc020, 0x3bfa, 0xc020, 0x3bee, 0xc021,
-  0x3be1, 0xc022, 0x3bd5, 0xc023, 0x3bc8, 0xc024, 0x3bbc, 0xc024,
-  0x3baf, 0xc025, 0x3ba2, 0xc026, 0x3b96, 0xc027, 0x3b89, 0xc028,
-  0x3b7d, 0xc029, 0x3b70, 0xc02a, 0x3b64, 0xc02b, 0x3b57, 0xc02b,
-  0x3b4b, 0xc02c, 0x3b3e, 0xc02d, 0x3b32, 0xc02e, 0x3b25, 0xc02f,
-  0x3b19, 0xc030, 0x3b0c, 0xc031, 0x3b00, 0xc032, 0x3af3, 0xc033,
-  0x3ae6, 0xc034, 0x3ada, 0xc035, 0x3acd, 0xc036, 0x3ac1, 0xc037,
-  0x3ab4, 0xc038, 0x3aa8, 0xc039, 0x3a9b, 0xc03a, 0x3a8f, 0xc03b,
-  0x3a82, 0xc03c, 0x3a76, 0xc03d, 0x3a69, 0xc03f, 0x3a5d, 0xc040,
-  0x3a50, 0xc041, 0x3a44, 0xc042, 0x3a37, 0xc043, 0x3a2b, 0xc044,
-  0x3a1e, 0xc045, 0x3a12, 0xc047, 0x3a05, 0xc048, 0x39f9, 0xc049,
-  0x39ec, 0xc04a, 0x39e0, 0xc04b, 0x39d3, 0xc04c, 0x39c7, 0xc04e,
-  0x39ba, 0xc04f, 0x39ae, 0xc050, 0x39a1, 0xc051, 0x3995, 0xc053,
-  0x3988, 0xc054, 0x397c, 0xc055, 0x396f, 0xc056, 0x3963, 0xc058,
-  0x3956, 0xc059, 0x394a, 0xc05a, 0x393d, 0xc05c, 0x3931, 0xc05d,
-  0x3924, 0xc05e, 0x3918, 0xc060, 0x390b, 0xc061, 0x38ff, 0xc062,
-  0x38f2, 0xc064, 0x38e6, 0xc065, 0x38d9, 0xc067, 0x38cd, 0xc068,
-  0x38c0, 0xc069, 0x38b4, 0xc06b, 0x38a7, 0xc06c, 0x389b, 0xc06e,
-  0x388e, 0xc06f, 0x3882, 0xc071, 0x3875, 0xc072, 0x3869, 0xc074,
-  0x385c, 0xc075, 0x3850, 0xc077, 0x3843, 0xc078, 0x3837, 0xc07a,
-  0x382a, 0xc07b, 0x381e, 0xc07d, 0x3811, 0xc07e, 0x3805, 0xc080,
-  0x37f9, 0xc081, 0x37ec, 0xc083, 0x37e0, 0xc085, 0x37d3, 0xc086,
-  0x37c7, 0xc088, 0x37ba, 0xc089, 0x37ae, 0xc08b, 0x37a1, 0xc08d,
-  0x3795, 0xc08e, 0x3788, 0xc090, 0x377c, 0xc092, 0x376f, 0xc093,
-  0x3763, 0xc095, 0x3757, 0xc097, 0x374a, 0xc098, 0x373e, 0xc09a,
-  0x3731, 0xc09c, 0x3725, 0xc09e, 0x3718, 0xc09f, 0x370c, 0xc0a1,
-  0x36ff, 0xc0a3, 0x36f3, 0xc0a5, 0x36e7, 0xc0a6, 0x36da, 0xc0a8,
-  0x36ce, 0xc0aa, 0x36c1, 0xc0ac, 0x36b5, 0xc0ae, 0x36a8, 0xc0af,
-  0x369c, 0xc0b1, 0x3690, 0xc0b3, 0x3683, 0xc0b5, 0x3677, 0xc0b7,
-  0x366a, 0xc0b9, 0x365e, 0xc0bb, 0x3651, 0xc0bd, 0x3645, 0xc0be,
-  0x3639, 0xc0c0, 0x362c, 0xc0c2, 0x3620, 0xc0c4, 0x3613, 0xc0c6,
-  0x3607, 0xc0c8, 0x35fa, 0xc0ca, 0x35ee, 0xc0cc, 0x35e2, 0xc0ce,
-  0x35d5, 0xc0d0, 0x35c9, 0xc0d2, 0x35bc, 0xc0d4, 0x35b0, 0xc0d6,
-  0x35a4, 0xc0d8, 0x3597, 0xc0da, 0x358b, 0xc0dc, 0x357e, 0xc0de,
-  0x3572, 0xc0e0, 0x3566, 0xc0e2, 0x3559, 0xc0e4, 0x354d, 0xc0e7,
-  0x3540, 0xc0e9, 0x3534, 0xc0eb, 0x3528, 0xc0ed, 0x351b, 0xc0ef,
-  0x350f, 0xc0f1, 0x3503, 0xc0f3, 0x34f6, 0xc0f6, 0x34ea, 0xc0f8,
-  0x34dd, 0xc0fa, 0x34d1, 0xc0fc, 0x34c5, 0xc0fe, 0x34b8, 0xc100,
-  0x34ac, 0xc103, 0x34a0, 0xc105, 0x3493, 0xc107, 0x3487, 0xc109,
-  0x347b, 0xc10c, 0x346e, 0xc10e, 0x3462, 0xc110, 0x3455, 0xc113,
-  0x3449, 0xc115, 0x343d, 0xc117, 0x3430, 0xc119, 0x3424, 0xc11c,
-  0x3418, 0xc11e, 0x340b, 0xc120, 0x33ff, 0xc123, 0x33f3, 0xc125,
-  0x33e6, 0xc128, 0x33da, 0xc12a, 0x33ce, 0xc12c, 0x33c1, 0xc12f,
-  0x33b5, 0xc131, 0x33a9, 0xc134, 0x339c, 0xc136, 0x3390, 0xc138,
-  0x3384, 0xc13b, 0x3377, 0xc13d, 0x336b, 0xc140, 0x335f, 0xc142,
-  0x3352, 0xc145, 0x3346, 0xc147, 0x333a, 0xc14a, 0x332d, 0xc14c,
-  0x3321, 0xc14f, 0x3315, 0xc151, 0x3308, 0xc154, 0x32fc, 0xc156,
-  0x32f0, 0xc159, 0x32e4, 0xc15b, 0x32d7, 0xc15e, 0x32cb, 0xc161,
-  0x32bf, 0xc163, 0x32b2, 0xc166, 0x32a6, 0xc168, 0x329a, 0xc16b,
-  0x328e, 0xc16e, 0x3281, 0xc170, 0x3275, 0xc173, 0x3269, 0xc176,
-  0x325c, 0xc178, 0x3250, 0xc17b, 0x3244, 0xc17e, 0x3238, 0xc180,
-  0x322b, 0xc183, 0x321f, 0xc186, 0x3213, 0xc189, 0x3207, 0xc18b,
-  0x31fa, 0xc18e, 0x31ee, 0xc191, 0x31e2, 0xc194, 0x31d5, 0xc196,
-  0x31c9, 0xc199, 0x31bd, 0xc19c, 0x31b1, 0xc19f, 0x31a4, 0xc1a2,
-  0x3198, 0xc1a4, 0x318c, 0xc1a7, 0x3180, 0xc1aa, 0x3174, 0xc1ad,
-  0x3167, 0xc1b0, 0x315b, 0xc1b3, 0x314f, 0xc1b6, 0x3143, 0xc1b8,
-  0x3136, 0xc1bb, 0x312a, 0xc1be, 0x311e, 0xc1c1, 0x3112, 0xc1c4,
-  0x3105, 0xc1c7, 0x30f9, 0xc1ca, 0x30ed, 0xc1cd, 0x30e1, 0xc1d0,
-  0x30d5, 0xc1d3, 0x30c8, 0xc1d6, 0x30bc, 0xc1d9, 0x30b0, 0xc1dc,
-  0x30a4, 0xc1df, 0x3098, 0xc1e2, 0x308b, 0xc1e5, 0x307f, 0xc1e8,
-  0x3073, 0xc1eb, 0x3067, 0xc1ee, 0x305b, 0xc1f1, 0x304e, 0xc1f4,
-  0x3042, 0xc1f7, 0x3036, 0xc1fa, 0x302a, 0xc1fd, 0x301e, 0xc201,
-  0x3012, 0xc204, 0x3005, 0xc207, 0x2ff9, 0xc20a, 0x2fed, 0xc20d,
-  0x2fe1, 0xc210, 0x2fd5, 0xc213, 0x2fc9, 0xc217, 0x2fbc, 0xc21a,
-  0x2fb0, 0xc21d, 0x2fa4, 0xc220, 0x2f98, 0xc223, 0x2f8c, 0xc227,
-  0x2f80, 0xc22a, 0x2f74, 0xc22d, 0x2f67, 0xc230, 0x2f5b, 0xc234,
-  0x2f4f, 0xc237, 0x2f43, 0xc23a, 0x2f37, 0xc23e, 0x2f2b, 0xc241,
-  0x2f1f, 0xc244, 0x2f13, 0xc247, 0x2f06, 0xc24b, 0x2efa, 0xc24e,
-  0x2eee, 0xc251, 0x2ee2, 0xc255, 0x2ed6, 0xc258, 0x2eca, 0xc25c,
-  0x2ebe, 0xc25f, 0x2eb2, 0xc262, 0x2ea6, 0xc266, 0x2e99, 0xc269,
-  0x2e8d, 0xc26d, 0x2e81, 0xc270, 0x2e75, 0xc273, 0x2e69, 0xc277,
-  0x2e5d, 0xc27a, 0x2e51, 0xc27e, 0x2e45, 0xc281, 0x2e39, 0xc285,
-  0x2e2d, 0xc288, 0x2e21, 0xc28c, 0x2e15, 0xc28f, 0x2e09, 0xc293,
-  0x2dfc, 0xc296, 0x2df0, 0xc29a, 0x2de4, 0xc29d, 0x2dd8, 0xc2a1,
-  0x2dcc, 0xc2a5, 0x2dc0, 0xc2a8, 0x2db4, 0xc2ac, 0x2da8, 0xc2af,
-  0x2d9c, 0xc2b3, 0x2d90, 0xc2b7, 0x2d84, 0xc2ba, 0x2d78, 0xc2be,
-  0x2d6c, 0xc2c1, 0x2d60, 0xc2c5, 0x2d54, 0xc2c9, 0x2d48, 0xc2cc,
-  0x2d3c, 0xc2d0, 0x2d30, 0xc2d4, 0x2d24, 0xc2d8, 0x2d18, 0xc2db,
-  0x2d0c, 0xc2df, 0x2d00, 0xc2e3, 0x2cf4, 0xc2e6, 0x2ce8, 0xc2ea,
-  0x2cdc, 0xc2ee, 0x2cd0, 0xc2f2, 0x2cc4, 0xc2f5, 0x2cb8, 0xc2f9,
-  0x2cac, 0xc2fd, 0x2ca0, 0xc301, 0x2c94, 0xc305, 0x2c88, 0xc308,
-  0x2c7c, 0xc30c, 0x2c70, 0xc310, 0x2c64, 0xc314, 0x2c58, 0xc318,
-  0x2c4c, 0xc31c, 0x2c40, 0xc320, 0x2c34, 0xc323, 0x2c28, 0xc327,
-  0x2c1c, 0xc32b, 0x2c10, 0xc32f, 0x2c05, 0xc333, 0x2bf9, 0xc337,
-  0x2bed, 0xc33b, 0x2be1, 0xc33f, 0x2bd5, 0xc343, 0x2bc9, 0xc347,
-  0x2bbd, 0xc34b, 0x2bb1, 0xc34f, 0x2ba5, 0xc353, 0x2b99, 0xc357,
-  0x2b8d, 0xc35b, 0x2b81, 0xc35f, 0x2b75, 0xc363, 0x2b6a, 0xc367,
-  0x2b5e, 0xc36b, 0x2b52, 0xc36f, 0x2b46, 0xc373, 0x2b3a, 0xc377,
-  0x2b2e, 0xc37b, 0x2b22, 0xc37f, 0x2b16, 0xc383, 0x2b0a, 0xc387,
-  0x2aff, 0xc38c, 0x2af3, 0xc390, 0x2ae7, 0xc394, 0x2adb, 0xc398,
-  0x2acf, 0xc39c, 0x2ac3, 0xc3a0, 0x2ab7, 0xc3a5, 0x2aac, 0xc3a9,
-  0x2aa0, 0xc3ad, 0x2a94, 0xc3b1, 0x2a88, 0xc3b5, 0x2a7c, 0xc3ba,
-  0x2a70, 0xc3be, 0x2a65, 0xc3c2, 0x2a59, 0xc3c6, 0x2a4d, 0xc3ca,
-  0x2a41, 0xc3cf, 0x2a35, 0xc3d3, 0x2a29, 0xc3d7, 0x2a1e, 0xc3dc,
-  0x2a12, 0xc3e0, 0x2a06, 0xc3e4, 0x29fa, 0xc3e9, 0x29ee, 0xc3ed,
-  0x29e3, 0xc3f1, 0x29d7, 0xc3f6, 0x29cb, 0xc3fa, 0x29bf, 0xc3fe,
-  0x29b4, 0xc403, 0x29a8, 0xc407, 0x299c, 0xc40b, 0x2990, 0xc410,
-  0x2984, 0xc414, 0x2979, 0xc419, 0x296d, 0xc41d, 0x2961, 0xc422,
-  0x2955, 0xc426, 0x294a, 0xc42a, 0x293e, 0xc42f, 0x2932, 0xc433,
-  0x2926, 0xc438, 0x291b, 0xc43c, 0x290f, 0xc441, 0x2903, 0xc445,
-  0x28f7, 0xc44a, 0x28ec, 0xc44e, 0x28e0, 0xc453, 0x28d4, 0xc457,
-  0x28c9, 0xc45c, 0x28bd, 0xc461, 0x28b1, 0xc465, 0x28a5, 0xc46a,
-  0x289a, 0xc46e, 0x288e, 0xc473, 0x2882, 0xc478, 0x2877, 0xc47c,
-  0x286b, 0xc481, 0x285f, 0xc485, 0x2854, 0xc48a, 0x2848, 0xc48f,
-  0x283c, 0xc493, 0x2831, 0xc498, 0x2825, 0xc49d, 0x2819, 0xc4a1,
-  0x280e, 0xc4a6, 0x2802, 0xc4ab, 0x27f6, 0xc4b0, 0x27eb, 0xc4b4,
-  0x27df, 0xc4b9, 0x27d3, 0xc4be, 0x27c8, 0xc4c2, 0x27bc, 0xc4c7,
-  0x27b1, 0xc4cc, 0x27a5, 0xc4d1, 0x2799, 0xc4d6, 0x278e, 0xc4da,
-  0x2782, 0xc4df, 0x2777, 0xc4e4, 0x276b, 0xc4e9, 0x275f, 0xc4ee,
-  0x2754, 0xc4f2, 0x2748, 0xc4f7, 0x273d, 0xc4fc, 0x2731, 0xc501,
-  0x2725, 0xc506, 0x271a, 0xc50b, 0x270e, 0xc510, 0x2703, 0xc515,
-  0x26f7, 0xc51a, 0x26ec, 0xc51e, 0x26e0, 0xc523, 0x26d4, 0xc528,
-  0x26c9, 0xc52d, 0x26bd, 0xc532, 0x26b2, 0xc537, 0x26a6, 0xc53c,
-  0x269b, 0xc541, 0x268f, 0xc546, 0x2684, 0xc54b, 0x2678, 0xc550,
-  0x266d, 0xc555, 0x2661, 0xc55a, 0x2656, 0xc55f, 0x264a, 0xc564,
-  0x263f, 0xc569, 0x2633, 0xc56e, 0x2628, 0xc573, 0x261c, 0xc578,
-  0x2611, 0xc57e, 0x2605, 0xc583, 0x25fa, 0xc588, 0x25ee, 0xc58d,
-  0x25e3, 0xc592, 0x25d7, 0xc597, 0x25cc, 0xc59c, 0x25c0, 0xc5a1,
-  0x25b5, 0xc5a7, 0x25a9, 0xc5ac, 0x259e, 0xc5b1, 0x2592, 0xc5b6,
-  0x2587, 0xc5bb, 0x257c, 0xc5c1, 0x2570, 0xc5c6, 0x2565, 0xc5cb,
-  0x2559, 0xc5d0, 0x254e, 0xc5d5, 0x2542, 0xc5db, 0x2537, 0xc5e0,
-  0x252c, 0xc5e5, 0x2520, 0xc5ea, 0x2515, 0xc5f0, 0x2509, 0xc5f5,
-  0x24fe, 0xc5fa, 0x24f3, 0xc600, 0x24e7, 0xc605, 0x24dc, 0xc60a,
-  0x24d0, 0xc610, 0x24c5, 0xc615, 0x24ba, 0xc61a, 0x24ae, 0xc620,
-  0x24a3, 0xc625, 0x2498, 0xc62a, 0x248c, 0xc630, 0x2481, 0xc635,
-  0x2476, 0xc63b, 0x246a, 0xc640, 0x245f, 0xc645, 0x2454, 0xc64b,
-  0x2448, 0xc650, 0x243d, 0xc656, 0x2432, 0xc65b, 0x2426, 0xc661,
-  0x241b, 0xc666, 0x2410, 0xc66c, 0x2404, 0xc671, 0x23f9, 0xc677,
-  0x23ee, 0xc67c, 0x23e2, 0xc682, 0x23d7, 0xc687, 0x23cc, 0xc68d,
-  0x23c1, 0xc692, 0x23b5, 0xc698, 0x23aa, 0xc69d, 0x239f, 0xc6a3,
-  0x2394, 0xc6a8, 0x2388, 0xc6ae, 0x237d, 0xc6b4, 0x2372, 0xc6b9,
-  0x2367, 0xc6bf, 0x235b, 0xc6c5, 0x2350, 0xc6ca, 0x2345, 0xc6d0,
-  0x233a, 0xc6d5, 0x232e, 0xc6db, 0x2323, 0xc6e1, 0x2318, 0xc6e6,
-  0x230d, 0xc6ec, 0x2301, 0xc6f2, 0x22f6, 0xc6f7, 0x22eb, 0xc6fd,
-  0x22e0, 0xc703, 0x22d5, 0xc709, 0x22ca, 0xc70e, 0x22be, 0xc714,
-  0x22b3, 0xc71a, 0x22a8, 0xc720, 0x229d, 0xc725, 0x2292, 0xc72b,
-  0x2287, 0xc731, 0x227b, 0xc737, 0x2270, 0xc73d, 0x2265, 0xc742,
-  0x225a, 0xc748, 0x224f, 0xc74e, 0x2244, 0xc754, 0x2239, 0xc75a,
-  0x222d, 0xc75f, 0x2222, 0xc765, 0x2217, 0xc76b, 0x220c, 0xc771,
-  0x2201, 0xc777, 0x21f6, 0xc77d, 0x21eb, 0xc783, 0x21e0, 0xc789,
-  0x21d5, 0xc78f, 0x21ca, 0xc795, 0x21be, 0xc79a, 0x21b3, 0xc7a0,
-  0x21a8, 0xc7a6, 0x219d, 0xc7ac, 0x2192, 0xc7b2, 0x2187, 0xc7b8,
-  0x217c, 0xc7be, 0x2171, 0xc7c4, 0x2166, 0xc7ca, 0x215b, 0xc7d0,
-  0x2150, 0xc7d6, 0x2145, 0xc7dc, 0x213a, 0xc7e2, 0x212f, 0xc7e8,
-  0x2124, 0xc7ee, 0x2119, 0xc7f5, 0x210e, 0xc7fb, 0x2103, 0xc801,
-  0x20f8, 0xc807, 0x20ed, 0xc80d, 0x20e2, 0xc813, 0x20d7, 0xc819,
-  0x20cc, 0xc81f, 0x20c1, 0xc825, 0x20b6, 0xc82b, 0x20ab, 0xc832,
-  0x20a0, 0xc838, 0x2095, 0xc83e, 0x208a, 0xc844, 0x207f, 0xc84a,
-  0x2074, 0xc850, 0x2069, 0xc857, 0x205e, 0xc85d, 0x2054, 0xc863,
-  0x2049, 0xc869, 0x203e, 0xc870, 0x2033, 0xc876, 0x2028, 0xc87c,
-  0x201d, 0xc882, 0x2012, 0xc889, 0x2007, 0xc88f, 0x1ffc, 0xc895,
-  0x1ff1, 0xc89b, 0x1fe7, 0xc8a2, 0x1fdc, 0xc8a8, 0x1fd1, 0xc8ae,
-  0x1fc6, 0xc8b5, 0x1fbb, 0xc8bb, 0x1fb0, 0xc8c1, 0x1fa5, 0xc8c8,
-  0x1f9b, 0xc8ce, 0x1f90, 0xc8d4, 0x1f85, 0xc8db, 0x1f7a, 0xc8e1,
-  0x1f6f, 0xc8e8, 0x1f65, 0xc8ee, 0x1f5a, 0xc8f4, 0x1f4f, 0xc8fb,
-  0x1f44, 0xc901, 0x1f39, 0xc908, 0x1f2f, 0xc90e, 0x1f24, 0xc915,
-  0x1f19, 0xc91b, 0x1f0e, 0xc921, 0x1f03, 0xc928, 0x1ef9, 0xc92e,
-  0x1eee, 0xc935, 0x1ee3, 0xc93b, 0x1ed8, 0xc942, 0x1ece, 0xc948,
-  0x1ec3, 0xc94f, 0x1eb8, 0xc955, 0x1ead, 0xc95c, 0x1ea3, 0xc963,
-  0x1e98, 0xc969, 0x1e8d, 0xc970, 0x1e83, 0xc976, 0x1e78, 0xc97d,
-  0x1e6d, 0xc983, 0x1e62, 0xc98a, 0x1e58, 0xc991, 0x1e4d, 0xc997,
-  0x1e42, 0xc99e, 0x1e38, 0xc9a4, 0x1e2d, 0xc9ab, 0x1e22, 0xc9b2,
-  0x1e18, 0xc9b8, 0x1e0d, 0xc9bf, 0x1e02, 0xc9c6, 0x1df8, 0xc9cc,
-  0x1ded, 0xc9d3, 0x1de2, 0xc9da, 0x1dd8, 0xc9e0, 0x1dcd, 0xc9e7,
-  0x1dc3, 0xc9ee, 0x1db8, 0xc9f5, 0x1dad, 0xc9fb, 0x1da3, 0xca02,
-  0x1d98, 0xca09, 0x1d8e, 0xca10, 0x1d83, 0xca16, 0x1d78, 0xca1d,
-  0x1d6e, 0xca24, 0x1d63, 0xca2b, 0x1d59, 0xca32, 0x1d4e, 0xca38,
-  0x1d44, 0xca3f, 0x1d39, 0xca46, 0x1d2e, 0xca4d, 0x1d24, 0xca54,
-  0x1d19, 0xca5b, 0x1d0f, 0xca61, 0x1d04, 0xca68, 0x1cfa, 0xca6f,
-  0x1cef, 0xca76, 0x1ce5, 0xca7d, 0x1cda, 0xca84, 0x1cd0, 0xca8b,
-  0x1cc5, 0xca92, 0x1cbb, 0xca99, 0x1cb0, 0xca9f, 0x1ca6, 0xcaa6,
-  0x1c9b, 0xcaad, 0x1c91, 0xcab4, 0x1c86, 0xcabb, 0x1c7c, 0xcac2,
-  0x1c72, 0xcac9, 0x1c67, 0xcad0, 0x1c5d, 0xcad7, 0x1c52, 0xcade,
-  0x1c48, 0xcae5, 0x1c3d, 0xcaec, 0x1c33, 0xcaf3, 0x1c29, 0xcafa,
-  0x1c1e, 0xcb01, 0x1c14, 0xcb08, 0x1c09, 0xcb0f, 0x1bff, 0xcb16,
-  0x1bf5, 0xcb1e, 0x1bea, 0xcb25, 0x1be0, 0xcb2c, 0x1bd5, 0xcb33,
-  0x1bcb, 0xcb3a, 0x1bc1, 0xcb41, 0x1bb6, 0xcb48, 0x1bac, 0xcb4f,
-  0x1ba2, 0xcb56, 0x1b97, 0xcb5e, 0x1b8d, 0xcb65, 0x1b83, 0xcb6c,
-  0x1b78, 0xcb73, 0x1b6e, 0xcb7a, 0x1b64, 0xcb81, 0x1b59, 0xcb89,
-  0x1b4f, 0xcb90, 0x1b45, 0xcb97, 0x1b3b, 0xcb9e, 0x1b30, 0xcba5,
-  0x1b26, 0xcbad, 0x1b1c, 0xcbb4, 0x1b11, 0xcbbb, 0x1b07, 0xcbc2,
-  0x1afd, 0xcbca, 0x1af3, 0xcbd1, 0x1ae8, 0xcbd8, 0x1ade, 0xcbe0,
-  0x1ad4, 0xcbe7, 0x1aca, 0xcbee, 0x1abf, 0xcbf5, 0x1ab5, 0xcbfd,
-  0x1aab, 0xcc04, 0x1aa1, 0xcc0b, 0x1a97, 0xcc13, 0x1a8c, 0xcc1a,
-  0x1a82, 0xcc21, 0x1a78, 0xcc29, 0x1a6e, 0xcc30, 0x1a64, 0xcc38,
-  0x1a5a, 0xcc3f, 0x1a4f, 0xcc46, 0x1a45, 0xcc4e, 0x1a3b, 0xcc55,
-  0x1a31, 0xcc5d, 0x1a27, 0xcc64, 0x1a1d, 0xcc6b, 0x1a13, 0xcc73,
-  0x1a08, 0xcc7a, 0x19fe, 0xcc82, 0x19f4, 0xcc89, 0x19ea, 0xcc91,
-  0x19e0, 0xcc98, 0x19d6, 0xcca0, 0x19cc, 0xcca7, 0x19c2, 0xccaf,
-  0x19b8, 0xccb6, 0x19ae, 0xccbe, 0x19a4, 0xccc5, 0x199a, 0xcccd,
-  0x198f, 0xccd4, 0x1985, 0xccdc, 0x197b, 0xcce3, 0x1971, 0xcceb,
-  0x1967, 0xccf3, 0x195d, 0xccfa, 0x1953, 0xcd02, 0x1949, 0xcd09,
-  0x193f, 0xcd11, 0x1935, 0xcd19, 0x192b, 0xcd20, 0x1921, 0xcd28,
-  0x1917, 0xcd30, 0x190d, 0xcd37, 0x1903, 0xcd3f, 0x18f9, 0xcd46,
-  0x18ef, 0xcd4e, 0x18e6, 0xcd56, 0x18dc, 0xcd5d, 0x18d2, 0xcd65,
-  0x18c8, 0xcd6d, 0x18be, 0xcd75, 0x18b4, 0xcd7c, 0x18aa, 0xcd84,
-  0x18a0, 0xcd8c, 0x1896, 0xcd93, 0x188c, 0xcd9b, 0x1882, 0xcda3,
-  0x1878, 0xcdab, 0x186f, 0xcdb2, 0x1865, 0xcdba, 0x185b, 0xcdc2,
-  0x1851, 0xcdca, 0x1847, 0xcdd2, 0x183d, 0xcdd9, 0x1833, 0xcde1,
-  0x182a, 0xcde9, 0x1820, 0xcdf1, 0x1816, 0xcdf9, 0x180c, 0xce01,
-  0x1802, 0xce08, 0x17f8, 0xce10, 0x17ef, 0xce18, 0x17e5, 0xce20,
-  0x17db, 0xce28, 0x17d1, 0xce30, 0x17c8, 0xce38, 0x17be, 0xce40,
-  0x17b4, 0xce47, 0x17aa, 0xce4f, 0x17a0, 0xce57, 0x1797, 0xce5f,
-  0x178d, 0xce67, 0x1783, 0xce6f, 0x177a, 0xce77, 0x1770, 0xce7f,
-  0x1766, 0xce87, 0x175c, 0xce8f, 0x1753, 0xce97, 0x1749, 0xce9f,
-  0x173f, 0xcea7, 0x1736, 0xceaf, 0x172c, 0xceb7, 0x1722, 0xcebf,
-  0x1719, 0xcec7, 0x170f, 0xcecf, 0x1705, 0xced7, 0x16fc, 0xcedf,
-  0x16f2, 0xcee7, 0x16e8, 0xceef, 0x16df, 0xcef7, 0x16d5, 0xceff,
-  0x16cb, 0xcf07, 0x16c2, 0xcf10, 0x16b8, 0xcf18, 0x16af, 0xcf20,
-  0x16a5, 0xcf28, 0x169b, 0xcf30, 0x1692, 0xcf38, 0x1688, 0xcf40,
-  0x167f, 0xcf48, 0x1675, 0xcf51, 0x166c, 0xcf59, 0x1662, 0xcf61,
-  0x1659, 0xcf69, 0x164f, 0xcf71, 0x1645, 0xcf79, 0x163c, 0xcf82,
-  0x1632, 0xcf8a, 0x1629, 0xcf92, 0x161f, 0xcf9a, 0x1616, 0xcfa3,
-  0x160c, 0xcfab, 0x1603, 0xcfb3, 0x15f9, 0xcfbb, 0x15f0, 0xcfc4,
-  0x15e6, 0xcfcc, 0x15dd, 0xcfd4, 0x15d4, 0xcfdc, 0x15ca, 0xcfe5,
-  0x15c1, 0xcfed, 0x15b7, 0xcff5, 0x15ae, 0xcffe, 0x15a4, 0xd006,
-  0x159b, 0xd00e, 0x1592, 0xd016, 0x1588, 0xd01f, 0x157f, 0xd027,
-  0x1575, 0xd030, 0x156c, 0xd038, 0x1563, 0xd040, 0x1559, 0xd049,
-  0x1550, 0xd051, 0x1547, 0xd059, 0x153d, 0xd062, 0x1534, 0xd06a,
-  0x152a, 0xd073, 0x1521, 0xd07b, 0x1518, 0xd083, 0x150e, 0xd08c,
-  0x1505, 0xd094, 0x14fc, 0xd09d, 0x14f3, 0xd0a5, 0x14e9, 0xd0ae,
-  0x14e0, 0xd0b6, 0x14d7, 0xd0bf, 0x14cd, 0xd0c7, 0x14c4, 0xd0d0,
-  0x14bb, 0xd0d8, 0x14b2, 0xd0e0, 0x14a8, 0xd0e9, 0x149f, 0xd0f2,
-  0x1496, 0xd0fa, 0x148d, 0xd103, 0x1483, 0xd10b, 0x147a, 0xd114,
-  0x1471, 0xd11c, 0x1468, 0xd125, 0x145f, 0xd12d, 0x1455, 0xd136,
-  0x144c, 0xd13e, 0x1443, 0xd147, 0x143a, 0xd150, 0x1431, 0xd158,
-  0x1428, 0xd161, 0x141e, 0xd169, 0x1415, 0xd172, 0x140c, 0xd17b,
-  0x1403, 0xd183, 0x13fa, 0xd18c, 0x13f1, 0xd195, 0x13e8, 0xd19d,
-  0x13df, 0xd1a6, 0x13d5, 0xd1af, 0x13cc, 0xd1b7, 0x13c3, 0xd1c0,
-  0x13ba, 0xd1c9, 0x13b1, 0xd1d1, 0x13a8, 0xd1da, 0x139f, 0xd1e3,
-  0x1396, 0xd1eb, 0x138d, 0xd1f4, 0x1384, 0xd1fd, 0x137b, 0xd206,
-  0x1372, 0xd20e, 0x1369, 0xd217, 0x1360, 0xd220, 0x1357, 0xd229,
-  0x134e, 0xd231, 0x1345, 0xd23a, 0x133c, 0xd243, 0x1333, 0xd24c,
-  0x132a, 0xd255, 0x1321, 0xd25d, 0x1318, 0xd266, 0x130f, 0xd26f,
-  0x1306, 0xd278, 0x12fd, 0xd281, 0x12f4, 0xd28a, 0x12eb, 0xd292,
-  0x12e2, 0xd29b, 0x12d9, 0xd2a4, 0x12d1, 0xd2ad, 0x12c8, 0xd2b6,
-  0x12bf, 0xd2bf, 0x12b6, 0xd2c8, 0x12ad, 0xd2d1, 0x12a4, 0xd2d9,
-  0x129b, 0xd2e2, 0x1292, 0xd2eb, 0x128a, 0xd2f4, 0x1281, 0xd2fd,
-  0x1278, 0xd306, 0x126f, 0xd30f, 0x1266, 0xd318, 0x125d, 0xd321,
-  0x1255, 0xd32a, 0x124c, 0xd333, 0x1243, 0xd33c, 0x123a, 0xd345,
-  0x1231, 0xd34e, 0x1229, 0xd357, 0x1220, 0xd360, 0x1217, 0xd369,
-  0x120e, 0xd372, 0x1206, 0xd37b, 0x11fd, 0xd384, 0x11f4, 0xd38d,
-  0x11eb, 0xd396, 0x11e3, 0xd39f, 0x11da, 0xd3a8, 0x11d1, 0xd3b1,
-  0x11c9, 0xd3ba, 0x11c0, 0xd3c3, 0x11b7, 0xd3cc, 0x11af, 0xd3d5,
-  0x11a6, 0xd3df, 0x119d, 0xd3e8, 0x1195, 0xd3f1, 0x118c, 0xd3fa,
-  0x1183, 0xd403, 0x117b, 0xd40c, 0x1172, 0xd415, 0x1169, 0xd41e,
-  0x1161, 0xd428, 0x1158, 0xd431, 0x1150, 0xd43a, 0x1147, 0xd443,
-  0x113e, 0xd44c, 0x1136, 0xd455, 0x112d, 0xd45f, 0x1125, 0xd468,
-  0x111c, 0xd471, 0x1114, 0xd47a, 0x110b, 0xd483, 0x1103, 0xd48d,
-  0x10fa, 0xd496, 0x10f2, 0xd49f, 0x10e9, 0xd4a8, 0x10e0, 0xd4b2,
-  0x10d8, 0xd4bb, 0x10d0, 0xd4c4, 0x10c7, 0xd4cd, 0x10bf, 0xd4d7,
-  0x10b6, 0xd4e0, 0x10ae, 0xd4e9, 0x10a5, 0xd4f3, 0x109d, 0xd4fc,
-  0x1094, 0xd505, 0x108c, 0xd50e, 0x1083, 0xd518, 0x107b, 0xd521,
-  0x1073, 0xd52a, 0x106a, 0xd534, 0x1062, 0xd53d, 0x1059, 0xd547,
-  0x1051, 0xd550, 0x1049, 0xd559, 0x1040, 0xd563, 0x1038, 0xd56c,
-  0x1030, 0xd575, 0x1027, 0xd57f, 0x101f, 0xd588, 0x1016, 0xd592,
-  0x100e, 0xd59b, 0x1006, 0xd5a4, 0xffe, 0xd5ae, 0xff5, 0xd5b7,
-  0xfed, 0xd5c1, 0xfe5, 0xd5ca, 0xfdc, 0xd5d4, 0xfd4, 0xd5dd,
-  0xfcc, 0xd5e6, 0xfc4, 0xd5f0, 0xfbb, 0xd5f9, 0xfb3, 0xd603,
-  0xfab, 0xd60c, 0xfa3, 0xd616, 0xf9a, 0xd61f, 0xf92, 0xd629,
-  0xf8a, 0xd632, 0xf82, 0xd63c, 0xf79, 0xd645, 0xf71, 0xd64f,
-  0xf69, 0xd659, 0xf61, 0xd662, 0xf59, 0xd66c, 0xf51, 0xd675,
-  0xf48, 0xd67f, 0xf40, 0xd688, 0xf38, 0xd692, 0xf30, 0xd69b,
-  0xf28, 0xd6a5, 0xf20, 0xd6af, 0xf18, 0xd6b8, 0xf10, 0xd6c2,
-  0xf07, 0xd6cb, 0xeff, 0xd6d5, 0xef7, 0xd6df, 0xeef, 0xd6e8,
-  0xee7, 0xd6f2, 0xedf, 0xd6fc, 0xed7, 0xd705, 0xecf, 0xd70f,
-  0xec7, 0xd719, 0xebf, 0xd722, 0xeb7, 0xd72c, 0xeaf, 0xd736,
-  0xea7, 0xd73f, 0xe9f, 0xd749, 0xe97, 0xd753, 0xe8f, 0xd75c,
-  0xe87, 0xd766, 0xe7f, 0xd770, 0xe77, 0xd77a, 0xe6f, 0xd783,
-  0xe67, 0xd78d, 0xe5f, 0xd797, 0xe57, 0xd7a0, 0xe4f, 0xd7aa,
-  0xe47, 0xd7b4, 0xe40, 0xd7be, 0xe38, 0xd7c8, 0xe30, 0xd7d1,
-  0xe28, 0xd7db, 0xe20, 0xd7e5, 0xe18, 0xd7ef, 0xe10, 0xd7f8,
-  0xe08, 0xd802, 0xe01, 0xd80c, 0xdf9, 0xd816, 0xdf1, 0xd820,
-  0xde9, 0xd82a, 0xde1, 0xd833, 0xdd9, 0xd83d, 0xdd2, 0xd847,
-  0xdca, 0xd851, 0xdc2, 0xd85b, 0xdba, 0xd865, 0xdb2, 0xd86f,
-  0xdab, 0xd878, 0xda3, 0xd882, 0xd9b, 0xd88c, 0xd93, 0xd896,
-  0xd8c, 0xd8a0, 0xd84, 0xd8aa, 0xd7c, 0xd8b4, 0xd75, 0xd8be,
-  0xd6d, 0xd8c8, 0xd65, 0xd8d2, 0xd5d, 0xd8dc, 0xd56, 0xd8e6,
-  0xd4e, 0xd8ef, 0xd46, 0xd8f9, 0xd3f, 0xd903, 0xd37, 0xd90d,
-  0xd30, 0xd917, 0xd28, 0xd921, 0xd20, 0xd92b, 0xd19, 0xd935,
-  0xd11, 0xd93f, 0xd09, 0xd949, 0xd02, 0xd953, 0xcfa, 0xd95d,
-  0xcf3, 0xd967, 0xceb, 0xd971, 0xce3, 0xd97b, 0xcdc, 0xd985,
-  0xcd4, 0xd98f, 0xccd, 0xd99a, 0xcc5, 0xd9a4, 0xcbe, 0xd9ae,
-  0xcb6, 0xd9b8, 0xcaf, 0xd9c2, 0xca7, 0xd9cc, 0xca0, 0xd9d6,
-  0xc98, 0xd9e0, 0xc91, 0xd9ea, 0xc89, 0xd9f4, 0xc82, 0xd9fe,
-  0xc7a, 0xda08, 0xc73, 0xda13, 0xc6b, 0xda1d, 0xc64, 0xda27,
-  0xc5d, 0xda31, 0xc55, 0xda3b, 0xc4e, 0xda45, 0xc46, 0xda4f,
-  0xc3f, 0xda5a, 0xc38, 0xda64, 0xc30, 0xda6e, 0xc29, 0xda78,
-  0xc21, 0xda82, 0xc1a, 0xda8c, 0xc13, 0xda97, 0xc0b, 0xdaa1,
-  0xc04, 0xdaab, 0xbfd, 0xdab5, 0xbf5, 0xdabf, 0xbee, 0xdaca,
-  0xbe7, 0xdad4, 0xbe0, 0xdade, 0xbd8, 0xdae8, 0xbd1, 0xdaf3,
-  0xbca, 0xdafd, 0xbc2, 0xdb07, 0xbbb, 0xdb11, 0xbb4, 0xdb1c,
-  0xbad, 0xdb26, 0xba5, 0xdb30, 0xb9e, 0xdb3b, 0xb97, 0xdb45,
-  0xb90, 0xdb4f, 0xb89, 0xdb59, 0xb81, 0xdb64, 0xb7a, 0xdb6e,
-  0xb73, 0xdb78, 0xb6c, 0xdb83, 0xb65, 0xdb8d, 0xb5e, 0xdb97,
-  0xb56, 0xdba2, 0xb4f, 0xdbac, 0xb48, 0xdbb6, 0xb41, 0xdbc1,
-  0xb3a, 0xdbcb, 0xb33, 0xdbd5, 0xb2c, 0xdbe0, 0xb25, 0xdbea,
-  0xb1e, 0xdbf5, 0xb16, 0xdbff, 0xb0f, 0xdc09, 0xb08, 0xdc14,
-  0xb01, 0xdc1e, 0xafa, 0xdc29, 0xaf3, 0xdc33, 0xaec, 0xdc3d,
-  0xae5, 0xdc48, 0xade, 0xdc52, 0xad7, 0xdc5d, 0xad0, 0xdc67,
-  0xac9, 0xdc72, 0xac2, 0xdc7c, 0xabb, 0xdc86, 0xab4, 0xdc91,
-  0xaad, 0xdc9b, 0xaa6, 0xdca6, 0xa9f, 0xdcb0, 0xa99, 0xdcbb,
-  0xa92, 0xdcc5, 0xa8b, 0xdcd0, 0xa84, 0xdcda, 0xa7d, 0xdce5,
-  0xa76, 0xdcef, 0xa6f, 0xdcfa, 0xa68, 0xdd04, 0xa61, 0xdd0f,
-  0xa5b, 0xdd19, 0xa54, 0xdd24, 0xa4d, 0xdd2e, 0xa46, 0xdd39,
-  0xa3f, 0xdd44, 0xa38, 0xdd4e, 0xa32, 0xdd59, 0xa2b, 0xdd63,
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-  0xa09, 0xdd98, 0xa02, 0xdda3, 0x9fb, 0xddad, 0x9f5, 0xddb8,
-  0x9ee, 0xddc3, 0x9e7, 0xddcd, 0x9e0, 0xddd8, 0x9da, 0xdde2,
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-  0x8b5, 0xdfc6, 0x8ae, 0xdfd1, 0x8a8, 0xdfdc, 0x8a2, 0xdfe7,
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-  0x703, 0xe2e0, 0x6fd, 0xe2eb, 0x6f7, 0xe2f6, 0x6f2, 0xe301,
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-  0x6bf, 0xe367, 0x6b9, 0xe372, 0x6b4, 0xe37d, 0x6ae, 0xe388,
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-  0x67c, 0xe3ee, 0x677, 0xe3f9, 0x671, 0xe404, 0x66c, 0xe410,
-  0x666, 0xe41b, 0x661, 0xe426, 0x65b, 0xe432, 0x656, 0xe43d,
-  0x650, 0xe448, 0x64b, 0xe454, 0x645, 0xe45f, 0x640, 0xe46a,
-  0x63b, 0xe476, 0x635, 0xe481, 0x630, 0xe48c, 0x62a, 0xe498,
-  0x625, 0xe4a3, 0x620, 0xe4ae, 0x61a, 0xe4ba, 0x615, 0xe4c5,
-  0x610, 0xe4d0, 0x60a, 0xe4dc, 0x605, 0xe4e7, 0x600, 0xe4f3,
-  0x5fa, 0xe4fe, 0x5f5, 0xe509, 0x5f0, 0xe515, 0x5ea, 0xe520,
-  0x5e5, 0xe52c, 0x5e0, 0xe537, 0x5db, 0xe542, 0x5d5, 0xe54e,
-  0x5d0, 0xe559, 0x5cb, 0xe565, 0x5c6, 0xe570, 0x5c1, 0xe57c,
-  0x5bb, 0xe587, 0x5b6, 0xe592, 0x5b1, 0xe59e, 0x5ac, 0xe5a9,
-  0x5a7, 0xe5b5, 0x5a1, 0xe5c0, 0x59c, 0xe5cc, 0x597, 0xe5d7,
-  0x592, 0xe5e3, 0x58d, 0xe5ee, 0x588, 0xe5fa, 0x583, 0xe605,
-  0x57e, 0xe611, 0x578, 0xe61c, 0x573, 0xe628, 0x56e, 0xe633,
-  0x569, 0xe63f, 0x564, 0xe64a, 0x55f, 0xe656, 0x55a, 0xe661,
-  0x555, 0xe66d, 0x550, 0xe678, 0x54b, 0xe684, 0x546, 0xe68f,
-  0x541, 0xe69b, 0x53c, 0xe6a6, 0x537, 0xe6b2, 0x532, 0xe6bd,
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-  0x51a, 0xe6f7, 0x515, 0xe703, 0x510, 0xe70e, 0x50b, 0xe71a,
-  0x506, 0xe725, 0x501, 0xe731, 0x4fc, 0xe73d, 0x4f7, 0xe748,
-  0x4f2, 0xe754, 0x4ee, 0xe75f, 0x4e9, 0xe76b, 0x4e4, 0xe777,
-  0x4df, 0xe782, 0x4da, 0xe78e, 0x4d6, 0xe799, 0x4d1, 0xe7a5,
-  0x4cc, 0xe7b1, 0x4c7, 0xe7bc, 0x4c2, 0xe7c8, 0x4be, 0xe7d3,
-  0x4b9, 0xe7df, 0x4b4, 0xe7eb, 0x4b0, 0xe7f6, 0x4ab, 0xe802,
-  0x4a6, 0xe80e, 0x4a1, 0xe819, 0x49d, 0xe825, 0x498, 0xe831,
-  0x493, 0xe83c, 0x48f, 0xe848, 0x48a, 0xe854, 0x485, 0xe85f,
-  0x481, 0xe86b, 0x47c, 0xe877, 0x478, 0xe882, 0x473, 0xe88e,
-  0x46e, 0xe89a, 0x46a, 0xe8a5, 0x465, 0xe8b1, 0x461, 0xe8bd,
-  0x45c, 0xe8c9, 0x457, 0xe8d4, 0x453, 0xe8e0, 0x44e, 0xe8ec,
-  0x44a, 0xe8f7, 0x445, 0xe903, 0x441, 0xe90f, 0x43c, 0xe91b,
-  0x438, 0xe926, 0x433, 0xe932, 0x42f, 0xe93e, 0x42a, 0xe94a,
-  0x426, 0xe955, 0x422, 0xe961, 0x41d, 0xe96d, 0x419, 0xe979,
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-  0x3f1, 0xe9e3, 0x3ed, 0xe9ee, 0x3e9, 0xe9fa, 0x3e4, 0xea06,
-  0x3e0, 0xea12, 0x3dc, 0xea1e, 0x3d7, 0xea29, 0x3d3, 0xea35,
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-  0x2d0, 0xed3c, 0x2cc, 0xed48, 0x2c9, 0xed54, 0x2c5, 0xed60,
-  0x2c1, 0xed6c, 0x2be, 0xed78, 0x2ba, 0xed84, 0x2b7, 0xed90,
-  0x2b3, 0xed9c, 0x2af, 0xeda8, 0x2ac, 0xedb4, 0x2a8, 0xedc0,
-  0x2a5, 0xedcc, 0x2a1, 0xedd8, 0x29d, 0xede4, 0x29a, 0xedf0,
-  0x296, 0xedfc, 0x293, 0xee09, 0x28f, 0xee15, 0x28c, 0xee21,
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-  0x159, 0xf2f0, 0x156, 0xf2fc, 0x154, 0xf308, 0x151, 0xf315,
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-  0xaa, 0xf6ce, 0xa8, 0xf6da, 0xa6, 0xf6e7, 0xa5, 0xf6f3,
-  0xa3, 0xf6ff, 0xa1, 0xf70c, 0x9f, 0xf718, 0x9e, 0xf725,
-  0x9c, 0xf731, 0x9a, 0xf73e, 0x98, 0xf74a, 0x97, 0xf757,
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-  0x8e, 0xf795, 0x8d, 0xf7a1, 0x8b, 0xf7ae, 0x89, 0xf7ba,
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-  0x69, 0xf8c0, 0x68, 0xf8cd, 0x67, 0xf8d9, 0x65, 0xf8e6,
-  0x64, 0xf8f2, 0x62, 0xf8ff, 0x61, 0xf90b, 0x60, 0xf918,
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-  0x54, 0xf988, 0x53, 0xf995, 0x51, 0xf9a1, 0x50, 0xf9ae,
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-  0x4a, 0xf9ec, 0x49, 0xf9f9, 0x48, 0xfa05, 0x47, 0xfa12,
-  0x45, 0xfa1e, 0x44, 0xfa2b, 0x43, 0xfa37, 0x42, 0xfa44,
-  0x41, 0xfa50, 0x40, 0xfa5d, 0x3f, 0xfa69, 0x3d, 0xfa76,
-  0x3c, 0xfa82, 0x3b, 0xfa8f, 0x3a, 0xfa9b, 0x39, 0xfaa8,
-  0x38, 0xfab4, 0x37, 0xfac1, 0x36, 0xfacd, 0x35, 0xfada,
-  0x34, 0xfae6, 0x33, 0xfaf3, 0x32, 0xfb00, 0x31, 0xfb0c,
-  0x30, 0xfb19, 0x2f, 0xfb25, 0x2e, 0xfb32, 0x2d, 0xfb3e,
-  0x2c, 0xfb4b, 0x2b, 0xfb57, 0x2b, 0xfb64, 0x2a, 0xfb70,
-  0x29, 0xfb7d, 0x28, 0xfb89, 0x27, 0xfb96, 0x26, 0xfba2,
-  0x25, 0xfbaf, 0x24, 0xfbbc, 0x24, 0xfbc8, 0x23, 0xfbd5,
-  0x22, 0xfbe1, 0x21, 0xfbee, 0x20, 0xfbfa, 0x20, 0xfc07,
-  0x1f, 0xfc13, 0x1e, 0xfc20, 0x1d, 0xfc2c, 0x1d, 0xfc39,
-  0x1c, 0xfc45, 0x1b, 0xfc52, 0x1a, 0xfc5f, 0x1a, 0xfc6b,
-  0x19, 0xfc78, 0x18, 0xfc84, 0x18, 0xfc91, 0x17, 0xfc9d,
-  0x16, 0xfcaa, 0x16, 0xfcb6, 0x15, 0xfcc3, 0x14, 0xfcd0,
-  0x14, 0xfcdc, 0x13, 0xfce9, 0x13, 0xfcf5, 0x12, 0xfd02,
-  0x11, 0xfd0e, 0x11, 0xfd1b, 0x10, 0xfd27, 0x10, 0xfd34,
-  0xf, 0xfd40, 0xf, 0xfd4d, 0xe, 0xfd5a, 0xe, 0xfd66,
-  0xd, 0xfd73, 0xd, 0xfd7f, 0xc, 0xfd8c, 0xc, 0xfd98,
-  0xb, 0xfda5, 0xb, 0xfdb2, 0xa, 0xfdbe, 0xa, 0xfdcb,
-  0x9, 0xfdd7, 0x9, 0xfde4, 0x9, 0xfdf0, 0x8, 0xfdfd,
-  0x8, 0xfe09, 0x7, 0xfe16, 0x7, 0xfe23, 0x7, 0xfe2f,
-  0x6, 0xfe3c, 0x6, 0xfe48, 0x6, 0xfe55, 0x5, 0xfe61,
-  0x5, 0xfe6e, 0x5, 0xfe7a, 0x4, 0xfe87, 0x4, 0xfe94,
-  0x4, 0xfea0, 0x4, 0xfead, 0x3, 0xfeb9, 0x3, 0xfec6,
-  0x3, 0xfed2, 0x3, 0xfedf, 0x2, 0xfeec, 0x2, 0xfef8,
-  0x2, 0xff05, 0x2, 0xff11, 0x2, 0xff1e, 0x1, 0xff2a,
-  0x1, 0xff37, 0x1, 0xff44, 0x1, 0xff50, 0x1, 0xff5d,
-  0x1, 0xff69, 0x1, 0xff76, 0x0, 0xff82, 0x0, 0xff8f,
-  0x0, 0xff9b, 0x0, 0xffa8, 0x0, 0xffb5, 0x0, 0xffc1,
-  0x0, 0xffce, 0x0, 0xffda, 0x0, 0xffe7, 0x0, 0xfff3,
-  0x0, 0x0, 0x0, 0xd, 0x0, 0x19, 0x0, 0x26,
-  0x0, 0x32, 0x0, 0x3f, 0x0, 0x4b, 0x0, 0x58,
-  0x0, 0x65, 0x0, 0x71, 0x0, 0x7e, 0x1, 0x8a,
-  0x1, 0x97, 0x1, 0xa3, 0x1, 0xb0, 0x1, 0xbc,
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-  0x26f7, 0x3ae6, 0x2703, 0x3aeb, 0x270e, 0x3af0, 0x271a, 0x3af5,
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-  0x2754, 0x3b0e, 0x275f, 0x3b12, 0x276b, 0x3b17, 0x2777, 0x3b1c,
-  0x2782, 0x3b21, 0x278e, 0x3b26, 0x2799, 0x3b2a, 0x27a5, 0x3b2f,
-  0x27b1, 0x3b34, 0x27bc, 0x3b39, 0x27c8, 0x3b3e, 0x27d3, 0x3b42,
-  0x27df, 0x3b47, 0x27eb, 0x3b4c, 0x27f6, 0x3b50, 0x2802, 0x3b55,
-  0x280e, 0x3b5a, 0x2819, 0x3b5f, 0x2825, 0x3b63, 0x2831, 0x3b68,
-  0x283c, 0x3b6d, 0x2848, 0x3b71, 0x2854, 0x3b76, 0x285f, 0x3b7b,
-  0x286b, 0x3b7f, 0x2877, 0x3b84, 0x2882, 0x3b88, 0x288e, 0x3b8d,
-  0x289a, 0x3b92, 0x28a5, 0x3b96, 0x28b1, 0x3b9b, 0x28bd, 0x3b9f,
-  0x28c9, 0x3ba4, 0x28d4, 0x3ba9, 0x28e0, 0x3bad, 0x28ec, 0x3bb2,
-  0x28f7, 0x3bb6, 0x2903, 0x3bbb, 0x290f, 0x3bbf, 0x291b, 0x3bc4,
-  0x2926, 0x3bc8, 0x2932, 0x3bcd, 0x293e, 0x3bd1, 0x294a, 0x3bd6,
-  0x2955, 0x3bda, 0x2961, 0x3bde, 0x296d, 0x3be3, 0x2979, 0x3be7,
-  0x2984, 0x3bec, 0x2990, 0x3bf0, 0x299c, 0x3bf5, 0x29a8, 0x3bf9,
-  0x29b4, 0x3bfd, 0x29bf, 0x3c02, 0x29cb, 0x3c06, 0x29d7, 0x3c0a,
-  0x29e3, 0x3c0f, 0x29ee, 0x3c13, 0x29fa, 0x3c17, 0x2a06, 0x3c1c,
-  0x2a12, 0x3c20, 0x2a1e, 0x3c24, 0x2a29, 0x3c29, 0x2a35, 0x3c2d,
-  0x2a41, 0x3c31, 0x2a4d, 0x3c36, 0x2a59, 0x3c3a, 0x2a65, 0x3c3e,
-  0x2a70, 0x3c42, 0x2a7c, 0x3c46, 0x2a88, 0x3c4b, 0x2a94, 0x3c4f,
-  0x2aa0, 0x3c53, 0x2aac, 0x3c57, 0x2ab7, 0x3c5b, 0x2ac3, 0x3c60,
-  0x2acf, 0x3c64, 0x2adb, 0x3c68, 0x2ae7, 0x3c6c, 0x2af3, 0x3c70,
-  0x2aff, 0x3c74, 0x2b0a, 0x3c79, 0x2b16, 0x3c7d, 0x2b22, 0x3c81,
-  0x2b2e, 0x3c85, 0x2b3a, 0x3c89, 0x2b46, 0x3c8d, 0x2b52, 0x3c91,
-  0x2b5e, 0x3c95, 0x2b6a, 0x3c99, 0x2b75, 0x3c9d, 0x2b81, 0x3ca1,
-  0x2b8d, 0x3ca5, 0x2b99, 0x3ca9, 0x2ba5, 0x3cad, 0x2bb1, 0x3cb1,
-  0x2bbd, 0x3cb5, 0x2bc9, 0x3cb9, 0x2bd5, 0x3cbd, 0x2be1, 0x3cc1,
-  0x2bed, 0x3cc5, 0x2bf9, 0x3cc9, 0x2c05, 0x3ccd, 0x2c10, 0x3cd1,
-  0x2c1c, 0x3cd5, 0x2c28, 0x3cd9, 0x2c34, 0x3cdd, 0x2c40, 0x3ce0,
-  0x2c4c, 0x3ce4, 0x2c58, 0x3ce8, 0x2c64, 0x3cec, 0x2c70, 0x3cf0,
-  0x2c7c, 0x3cf4, 0x2c88, 0x3cf8, 0x2c94, 0x3cfb, 0x2ca0, 0x3cff,
-  0x2cac, 0x3d03, 0x2cb8, 0x3d07, 0x2cc4, 0x3d0b, 0x2cd0, 0x3d0e,
-  0x2cdc, 0x3d12, 0x2ce8, 0x3d16, 0x2cf4, 0x3d1a, 0x2d00, 0x3d1d,
-  0x2d0c, 0x3d21, 0x2d18, 0x3d25, 0x2d24, 0x3d28, 0x2d30, 0x3d2c,
-  0x2d3c, 0x3d30, 0x2d48, 0x3d34, 0x2d54, 0x3d37, 0x2d60, 0x3d3b,
-  0x2d6c, 0x3d3f, 0x2d78, 0x3d42, 0x2d84, 0x3d46, 0x2d90, 0x3d49,
-  0x2d9c, 0x3d4d, 0x2da8, 0x3d51, 0x2db4, 0x3d54, 0x2dc0, 0x3d58,
-  0x2dcc, 0x3d5b, 0x2dd8, 0x3d5f, 0x2de4, 0x3d63, 0x2df0, 0x3d66,
-  0x2dfc, 0x3d6a, 0x2e09, 0x3d6d, 0x2e15, 0x3d71, 0x2e21, 0x3d74,
-  0x2e2d, 0x3d78, 0x2e39, 0x3d7b, 0x2e45, 0x3d7f, 0x2e51, 0x3d82,
-  0x2e5d, 0x3d86, 0x2e69, 0x3d89, 0x2e75, 0x3d8d, 0x2e81, 0x3d90,
-  0x2e8d, 0x3d93, 0x2e99, 0x3d97, 0x2ea6, 0x3d9a, 0x2eb2, 0x3d9e,
-  0x2ebe, 0x3da1, 0x2eca, 0x3da4, 0x2ed6, 0x3da8, 0x2ee2, 0x3dab,
-  0x2eee, 0x3daf, 0x2efa, 0x3db2, 0x2f06, 0x3db5, 0x2f13, 0x3db9,
-  0x2f1f, 0x3dbc, 0x2f2b, 0x3dbf, 0x2f37, 0x3dc2, 0x2f43, 0x3dc6,
-  0x2f4f, 0x3dc9, 0x2f5b, 0x3dcc, 0x2f67, 0x3dd0, 0x2f74, 0x3dd3,
-  0x2f80, 0x3dd6, 0x2f8c, 0x3dd9, 0x2f98, 0x3ddd, 0x2fa4, 0x3de0,
-  0x2fb0, 0x3de3, 0x2fbc, 0x3de6, 0x2fc9, 0x3de9, 0x2fd5, 0x3ded,
-  0x2fe1, 0x3df0, 0x2fed, 0x3df3, 0x2ff9, 0x3df6, 0x3005, 0x3df9,
-  0x3012, 0x3dfc, 0x301e, 0x3dff, 0x302a, 0x3e03, 0x3036, 0x3e06,
-  0x3042, 0x3e09, 0x304e, 0x3e0c, 0x305b, 0x3e0f, 0x3067, 0x3e12,
-  0x3073, 0x3e15, 0x307f, 0x3e18, 0x308b, 0x3e1b, 0x3098, 0x3e1e,
-  0x30a4, 0x3e21, 0x30b0, 0x3e24, 0x30bc, 0x3e27, 0x30c8, 0x3e2a,
-  0x30d5, 0x3e2d, 0x30e1, 0x3e30, 0x30ed, 0x3e33, 0x30f9, 0x3e36,
-  0x3105, 0x3e39, 0x3112, 0x3e3c, 0x311e, 0x3e3f, 0x312a, 0x3e42,
-  0x3136, 0x3e45, 0x3143, 0x3e48, 0x314f, 0x3e4a, 0x315b, 0x3e4d,
-  0x3167, 0x3e50, 0x3174, 0x3e53, 0x3180, 0x3e56, 0x318c, 0x3e59,
-  0x3198, 0x3e5c, 0x31a4, 0x3e5e, 0x31b1, 0x3e61, 0x31bd, 0x3e64,
-  0x31c9, 0x3e67, 0x31d5, 0x3e6a, 0x31e2, 0x3e6c, 0x31ee, 0x3e6f,
-  0x31fa, 0x3e72, 0x3207, 0x3e75, 0x3213, 0x3e77, 0x321f, 0x3e7a,
-  0x322b, 0x3e7d, 0x3238, 0x3e80, 0x3244, 0x3e82, 0x3250, 0x3e85,
-  0x325c, 0x3e88, 0x3269, 0x3e8a, 0x3275, 0x3e8d, 0x3281, 0x3e90,
-  0x328e, 0x3e92, 0x329a, 0x3e95, 0x32a6, 0x3e98, 0x32b2, 0x3e9a,
-  0x32bf, 0x3e9d, 0x32cb, 0x3e9f, 0x32d7, 0x3ea2, 0x32e4, 0x3ea5,
-  0x32f0, 0x3ea7, 0x32fc, 0x3eaa, 0x3308, 0x3eac, 0x3315, 0x3eaf,
-  0x3321, 0x3eb1, 0x332d, 0x3eb4, 0x333a, 0x3eb6, 0x3346, 0x3eb9,
-  0x3352, 0x3ebb, 0x335f, 0x3ebe, 0x336b, 0x3ec0, 0x3377, 0x3ec3,
-  0x3384, 0x3ec5, 0x3390, 0x3ec8, 0x339c, 0x3eca, 0x33a9, 0x3ecc,
-  0x33b5, 0x3ecf, 0x33c1, 0x3ed1, 0x33ce, 0x3ed4, 0x33da, 0x3ed6,
-  0x33e6, 0x3ed8, 0x33f3, 0x3edb, 0x33ff, 0x3edd, 0x340b, 0x3ee0,
-  0x3418, 0x3ee2, 0x3424, 0x3ee4, 0x3430, 0x3ee7, 0x343d, 0x3ee9,
-  0x3449, 0x3eeb, 0x3455, 0x3eed, 0x3462, 0x3ef0, 0x346e, 0x3ef2,
-  0x347b, 0x3ef4, 0x3487, 0x3ef7, 0x3493, 0x3ef9, 0x34a0, 0x3efb,
-  0x34ac, 0x3efd, 0x34b8, 0x3f00, 0x34c5, 0x3f02, 0x34d1, 0x3f04,
-  0x34dd, 0x3f06, 0x34ea, 0x3f08, 0x34f6, 0x3f0a, 0x3503, 0x3f0d,
-  0x350f, 0x3f0f, 0x351b, 0x3f11, 0x3528, 0x3f13, 0x3534, 0x3f15,
-  0x3540, 0x3f17, 0x354d, 0x3f19, 0x3559, 0x3f1c, 0x3566, 0x3f1e,
-  0x3572, 0x3f20, 0x357e, 0x3f22, 0x358b, 0x3f24, 0x3597, 0x3f26,
-  0x35a4, 0x3f28, 0x35b0, 0x3f2a, 0x35bc, 0x3f2c, 0x35c9, 0x3f2e,
-  0x35d5, 0x3f30, 0x35e2, 0x3f32, 0x35ee, 0x3f34, 0x35fa, 0x3f36,
-  0x3607, 0x3f38, 0x3613, 0x3f3a, 0x3620, 0x3f3c, 0x362c, 0x3f3e,
-  0x3639, 0x3f40, 0x3645, 0x3f42, 0x3651, 0x3f43, 0x365e, 0x3f45,
-  0x366a, 0x3f47, 0x3677, 0x3f49, 0x3683, 0x3f4b, 0x3690, 0x3f4d,
-  0x369c, 0x3f4f, 0x36a8, 0x3f51, 0x36b5, 0x3f52, 0x36c1, 0x3f54,
-  0x36ce, 0x3f56, 0x36da, 0x3f58, 0x36e7, 0x3f5a, 0x36f3, 0x3f5b,
-  0x36ff, 0x3f5d, 0x370c, 0x3f5f, 0x3718, 0x3f61, 0x3725, 0x3f62,
-  0x3731, 0x3f64, 0x373e, 0x3f66, 0x374a, 0x3f68, 0x3757, 0x3f69,
-  0x3763, 0x3f6b, 0x376f, 0x3f6d, 0x377c, 0x3f6e, 0x3788, 0x3f70,
-  0x3795, 0x3f72, 0x37a1, 0x3f73, 0x37ae, 0x3f75, 0x37ba, 0x3f77,
-  0x37c7, 0x3f78, 0x37d3, 0x3f7a, 0x37e0, 0x3f7b, 0x37ec, 0x3f7d,
-  0x37f9, 0x3f7f, 0x3805, 0x3f80, 0x3811, 0x3f82, 0x381e, 0x3f83,
-  0x382a, 0x3f85, 0x3837, 0x3f86, 0x3843, 0x3f88, 0x3850, 0x3f89,
-  0x385c, 0x3f8b, 0x3869, 0x3f8c, 0x3875, 0x3f8e, 0x3882, 0x3f8f,
-  0x388e, 0x3f91, 0x389b, 0x3f92, 0x38a7, 0x3f94, 0x38b4, 0x3f95,
-  0x38c0, 0x3f97, 0x38cd, 0x3f98, 0x38d9, 0x3f99, 0x38e6, 0x3f9b,
-  0x38f2, 0x3f9c, 0x38ff, 0x3f9e, 0x390b, 0x3f9f, 0x3918, 0x3fa0,
-  0x3924, 0x3fa2, 0x3931, 0x3fa3, 0x393d, 0x3fa4, 0x394a, 0x3fa6,
-  0x3956, 0x3fa7, 0x3963, 0x3fa8, 0x396f, 0x3faa, 0x397c, 0x3fab,
-  0x3988, 0x3fac, 0x3995, 0x3fad, 0x39a1, 0x3faf, 0x39ae, 0x3fb0,
-  0x39ba, 0x3fb1, 0x39c7, 0x3fb2, 0x39d3, 0x3fb4, 0x39e0, 0x3fb5,
-  0x39ec, 0x3fb6, 0x39f9, 0x3fb7, 0x3a05, 0x3fb8, 0x3a12, 0x3fb9,
-  0x3a1e, 0x3fbb, 0x3a2b, 0x3fbc, 0x3a37, 0x3fbd, 0x3a44, 0x3fbe,
-  0x3a50, 0x3fbf, 0x3a5d, 0x3fc0, 0x3a69, 0x3fc1, 0x3a76, 0x3fc3,
-  0x3a82, 0x3fc4, 0x3a8f, 0x3fc5, 0x3a9b, 0x3fc6, 0x3aa8, 0x3fc7,
-  0x3ab4, 0x3fc8, 0x3ac1, 0x3fc9, 0x3acd, 0x3fca, 0x3ada, 0x3fcb,
-  0x3ae6, 0x3fcc, 0x3af3, 0x3fcd, 0x3b00, 0x3fce, 0x3b0c, 0x3fcf,
-  0x3b19, 0x3fd0, 0x3b25, 0x3fd1, 0x3b32, 0x3fd2, 0x3b3e, 0x3fd3,
-  0x3b4b, 0x3fd4, 0x3b57, 0x3fd5, 0x3b64, 0x3fd5, 0x3b70, 0x3fd6,
-  0x3b7d, 0x3fd7, 0x3b89, 0x3fd8, 0x3b96, 0x3fd9, 0x3ba2, 0x3fda,
-  0x3baf, 0x3fdb, 0x3bbc, 0x3fdc, 0x3bc8, 0x3fdc, 0x3bd5, 0x3fdd,
-  0x3be1, 0x3fde, 0x3bee, 0x3fdf, 0x3bfa, 0x3fe0, 0x3c07, 0x3fe0,
-  0x3c13, 0x3fe1, 0x3c20, 0x3fe2, 0x3c2c, 0x3fe3, 0x3c39, 0x3fe3,
-  0x3c45, 0x3fe4, 0x3c52, 0x3fe5, 0x3c5f, 0x3fe6, 0x3c6b, 0x3fe6,
-  0x3c78, 0x3fe7, 0x3c84, 0x3fe8, 0x3c91, 0x3fe8, 0x3c9d, 0x3fe9,
-  0x3caa, 0x3fea, 0x3cb6, 0x3fea, 0x3cc3, 0x3feb, 0x3cd0, 0x3fec,
-  0x3cdc, 0x3fec, 0x3ce9, 0x3fed, 0x3cf5, 0x3fed, 0x3d02, 0x3fee,
-  0x3d0e, 0x3fef, 0x3d1b, 0x3fef, 0x3d27, 0x3ff0, 0x3d34, 0x3ff0,
-  0x3d40, 0x3ff1, 0x3d4d, 0x3ff1, 0x3d5a, 0x3ff2, 0x3d66, 0x3ff2,
-  0x3d73, 0x3ff3, 0x3d7f, 0x3ff3, 0x3d8c, 0x3ff4, 0x3d98, 0x3ff4,
-  0x3da5, 0x3ff5, 0x3db2, 0x3ff5, 0x3dbe, 0x3ff6, 0x3dcb, 0x3ff6,
-  0x3dd7, 0x3ff7, 0x3de4, 0x3ff7, 0x3df0, 0x3ff7, 0x3dfd, 0x3ff8,
-  0x3e09, 0x3ff8, 0x3e16, 0x3ff9, 0x3e23, 0x3ff9, 0x3e2f, 0x3ff9,
-  0x3e3c, 0x3ffa, 0x3e48, 0x3ffa, 0x3e55, 0x3ffa, 0x3e61, 0x3ffb,
-  0x3e6e, 0x3ffb, 0x3e7a, 0x3ffb, 0x3e87, 0x3ffc, 0x3e94, 0x3ffc,
-  0x3ea0, 0x3ffc, 0x3ead, 0x3ffc, 0x3eb9, 0x3ffd, 0x3ec6, 0x3ffd,
-  0x3ed2, 0x3ffd, 0x3edf, 0x3ffd, 0x3eec, 0x3ffe, 0x3ef8, 0x3ffe,
-  0x3f05, 0x3ffe, 0x3f11, 0x3ffe, 0x3f1e, 0x3ffe, 0x3f2a, 0x3fff,
-  0x3f37, 0x3fff, 0x3f44, 0x3fff, 0x3f50, 0x3fff, 0x3f5d, 0x3fff,
-  0x3f69, 0x3fff, 0x3f76, 0x3fff, 0x3f82, 0x4000, 0x3f8f, 0x4000,
-  0x3f9b, 0x4000, 0x3fa8, 0x4000, 0x3fb5, 0x4000, 0x3fc1, 0x4000,
-  0x3fce, 0x4000, 0x3fda, 0x4000, 0x3fe7, 0x4000, 0x3ff3, 0x4000,
+    0x4000, 0xc000, 0x3ff3, 0xc000, 0x3fe7, 0xc000, 0x3fda, 0xc000,
+    0x3fce, 0xc000, 0x3fc1, 0xc000, 0x3fb5, 0xc000, 0x3fa8, 0xc000,
+    0x3f9b, 0xc000, 0x3f8f, 0xc000, 0x3f82, 0xc000, 0x3f76, 0xc001,
+    0x3f69, 0xc001, 0x3f5d, 0xc001, 0x3f50, 0xc001, 0x3f44, 0xc001,
+    0x3f37, 0xc001, 0x3f2a, 0xc001, 0x3f1e, 0xc002, 0x3f11, 0xc002,
+    0x3f05, 0xc002, 0x3ef8, 0xc002, 0x3eec, 0xc002, 0x3edf, 0xc003,
+    0x3ed2, 0xc003, 0x3ec6, 0xc003, 0x3eb9, 0xc003, 0x3ead, 0xc004,
+    0x3ea0, 0xc004, 0x3e94, 0xc004, 0x3e87, 0xc004, 0x3e7a, 0xc005,
+    0x3e6e, 0xc005, 0x3e61, 0xc005, 0x3e55, 0xc006, 0x3e48, 0xc006,
+    0x3e3c, 0xc006, 0x3e2f, 0xc007, 0x3e23, 0xc007, 0x3e16, 0xc007,
+    0x3e09, 0xc008, 0x3dfd, 0xc008, 0x3df0, 0xc009, 0x3de4, 0xc009,
+    0x3dd7, 0xc009, 0x3dcb, 0xc00a, 0x3dbe, 0xc00a, 0x3db2, 0xc00b,
+    0x3da5, 0xc00b, 0x3d98, 0xc00c, 0x3d8c, 0xc00c, 0x3d7f, 0xc00d,
+    0x3d73, 0xc00d, 0x3d66, 0xc00e, 0x3d5a, 0xc00e, 0x3d4d, 0xc00f,
+    0x3d40, 0xc00f, 0x3d34, 0xc010, 0x3d27, 0xc010, 0x3d1b, 0xc011,
+    0x3d0e, 0xc011, 0x3d02, 0xc012, 0x3cf5, 0xc013, 0x3ce9, 0xc013,
+    0x3cdc, 0xc014, 0x3cd0, 0xc014, 0x3cc3, 0xc015, 0x3cb6, 0xc016,
+    0x3caa, 0xc016, 0x3c9d, 0xc017, 0x3c91, 0xc018, 0x3c84, 0xc018,
+    0x3c78, 0xc019, 0x3c6b, 0xc01a, 0x3c5f, 0xc01a, 0x3c52, 0xc01b,
+    0x3c45, 0xc01c, 0x3c39, 0xc01d, 0x3c2c, 0xc01d, 0x3c20, 0xc01e,
+    0x3c13, 0xc01f, 0x3c07, 0xc020, 0x3bfa, 0xc020, 0x3bee, 0xc021,
+    0x3be1, 0xc022, 0x3bd5, 0xc023, 0x3bc8, 0xc024, 0x3bbc, 0xc024,
+    0x3baf, 0xc025, 0x3ba2, 0xc026, 0x3b96, 0xc027, 0x3b89, 0xc028,
+    0x3b7d, 0xc029, 0x3b70, 0xc02a, 0x3b64, 0xc02b, 0x3b57, 0xc02b,
+    0x3b4b, 0xc02c, 0x3b3e, 0xc02d, 0x3b32, 0xc02e, 0x3b25, 0xc02f,
+    0x3b19, 0xc030, 0x3b0c, 0xc031, 0x3b00, 0xc032, 0x3af3, 0xc033,
+    0x3ae6, 0xc034, 0x3ada, 0xc035, 0x3acd, 0xc036, 0x3ac1, 0xc037,
+    0x3ab4, 0xc038, 0x3aa8, 0xc039, 0x3a9b, 0xc03a, 0x3a8f, 0xc03b,
+    0x3a82, 0xc03c, 0x3a76, 0xc03d, 0x3a69, 0xc03f, 0x3a5d, 0xc040,
+    0x3a50, 0xc041, 0x3a44, 0xc042, 0x3a37, 0xc043, 0x3a2b, 0xc044,
+    0x3a1e, 0xc045, 0x3a12, 0xc047, 0x3a05, 0xc048, 0x39f9, 0xc049,
+    0x39ec, 0xc04a, 0x39e0, 0xc04b, 0x39d3, 0xc04c, 0x39c7, 0xc04e,
+    0x39ba, 0xc04f, 0x39ae, 0xc050, 0x39a1, 0xc051, 0x3995, 0xc053,
+    0x3988, 0xc054, 0x397c, 0xc055, 0x396f, 0xc056, 0x3963, 0xc058,
+    0x3956, 0xc059, 0x394a, 0xc05a, 0x393d, 0xc05c, 0x3931, 0xc05d,
+    0x3924, 0xc05e, 0x3918, 0xc060, 0x390b, 0xc061, 0x38ff, 0xc062,
+    0x38f2, 0xc064, 0x38e6, 0xc065, 0x38d9, 0xc067, 0x38cd, 0xc068,
+    0x38c0, 0xc069, 0x38b4, 0xc06b, 0x38a7, 0xc06c, 0x389b, 0xc06e,
+    0x388e, 0xc06f, 0x3882, 0xc071, 0x3875, 0xc072, 0x3869, 0xc074,
+    0x385c, 0xc075, 0x3850, 0xc077, 0x3843, 0xc078, 0x3837, 0xc07a,
+    0x382a, 0xc07b, 0x381e, 0xc07d, 0x3811, 0xc07e, 0x3805, 0xc080,
+    0x37f9, 0xc081, 0x37ec, 0xc083, 0x37e0, 0xc085, 0x37d3, 0xc086,
+    0x37c7, 0xc088, 0x37ba, 0xc089, 0x37ae, 0xc08b, 0x37a1, 0xc08d,
+    0x3795, 0xc08e, 0x3788, 0xc090, 0x377c, 0xc092, 0x376f, 0xc093,
+    0x3763, 0xc095, 0x3757, 0xc097, 0x374a, 0xc098, 0x373e, 0xc09a,
+    0x3731, 0xc09c, 0x3725, 0xc09e, 0x3718, 0xc09f, 0x370c, 0xc0a1,
+    0x36ff, 0xc0a3, 0x36f3, 0xc0a5, 0x36e7, 0xc0a6, 0x36da, 0xc0a8,
+    0x36ce, 0xc0aa, 0x36c1, 0xc0ac, 0x36b5, 0xc0ae, 0x36a8, 0xc0af,
+    0x369c, 0xc0b1, 0x3690, 0xc0b3, 0x3683, 0xc0b5, 0x3677, 0xc0b7,
+    0x366a, 0xc0b9, 0x365e, 0xc0bb, 0x3651, 0xc0bd, 0x3645, 0xc0be,
+    0x3639, 0xc0c0, 0x362c, 0xc0c2, 0x3620, 0xc0c4, 0x3613, 0xc0c6,
+    0x3607, 0xc0c8, 0x35fa, 0xc0ca, 0x35ee, 0xc0cc, 0x35e2, 0xc0ce,
+    0x35d5, 0xc0d0, 0x35c9, 0xc0d2, 0x35bc, 0xc0d4, 0x35b0, 0xc0d6,
+    0x35a4, 0xc0d8, 0x3597, 0xc0da, 0x358b, 0xc0dc, 0x357e, 0xc0de,
+    0x3572, 0xc0e0, 0x3566, 0xc0e2, 0x3559, 0xc0e4, 0x354d, 0xc0e7,
+    0x3540, 0xc0e9, 0x3534, 0xc0eb, 0x3528, 0xc0ed, 0x351b, 0xc0ef,
+    0x350f, 0xc0f1, 0x3503, 0xc0f3, 0x34f6, 0xc0f6, 0x34ea, 0xc0f8,
+    0x34dd, 0xc0fa, 0x34d1, 0xc0fc, 0x34c5, 0xc0fe, 0x34b8, 0xc100,
+    0x34ac, 0xc103, 0x34a0, 0xc105, 0x3493, 0xc107, 0x3487, 0xc109,
+    0x347b, 0xc10c, 0x346e, 0xc10e, 0x3462, 0xc110, 0x3455, 0xc113,
+    0x3449, 0xc115, 0x343d, 0xc117, 0x3430, 0xc119, 0x3424, 0xc11c,
+    0x3418, 0xc11e, 0x340b, 0xc120, 0x33ff, 0xc123, 0x33f3, 0xc125,
+    0x33e6, 0xc128, 0x33da, 0xc12a, 0x33ce, 0xc12c, 0x33c1, 0xc12f,
+    0x33b5, 0xc131, 0x33a9, 0xc134, 0x339c, 0xc136, 0x3390, 0xc138,
+    0x3384, 0xc13b, 0x3377, 0xc13d, 0x336b, 0xc140, 0x335f, 0xc142,
+    0x3352, 0xc145, 0x3346, 0xc147, 0x333a, 0xc14a, 0x332d, 0xc14c,
+    0x3321, 0xc14f, 0x3315, 0xc151, 0x3308, 0xc154, 0x32fc, 0xc156,
+    0x32f0, 0xc159, 0x32e4, 0xc15b, 0x32d7, 0xc15e, 0x32cb, 0xc161,
+    0x32bf, 0xc163, 0x32b2, 0xc166, 0x32a6, 0xc168, 0x329a, 0xc16b,
+    0x328e, 0xc16e, 0x3281, 0xc170, 0x3275, 0xc173, 0x3269, 0xc176,
+    0x325c, 0xc178, 0x3250, 0xc17b, 0x3244, 0xc17e, 0x3238, 0xc180,
+    0x322b, 0xc183, 0x321f, 0xc186, 0x3213, 0xc189, 0x3207, 0xc18b,
+    0x31fa, 0xc18e, 0x31ee, 0xc191, 0x31e2, 0xc194, 0x31d5, 0xc196,
+    0x31c9, 0xc199, 0x31bd, 0xc19c, 0x31b1, 0xc19f, 0x31a4, 0xc1a2,
+    0x3198, 0xc1a4, 0x318c, 0xc1a7, 0x3180, 0xc1aa, 0x3174, 0xc1ad,
+    0x3167, 0xc1b0, 0x315b, 0xc1b3, 0x314f, 0xc1b6, 0x3143, 0xc1b8,
+    0x3136, 0xc1bb, 0x312a, 0xc1be, 0x311e, 0xc1c1, 0x3112, 0xc1c4,
+    0x3105, 0xc1c7, 0x30f9, 0xc1ca, 0x30ed, 0xc1cd, 0x30e1, 0xc1d0,
+    0x30d5, 0xc1d3, 0x30c8, 0xc1d6, 0x30bc, 0xc1d9, 0x30b0, 0xc1dc,
+    0x30a4, 0xc1df, 0x3098, 0xc1e2, 0x308b, 0xc1e5, 0x307f, 0xc1e8,
+    0x3073, 0xc1eb, 0x3067, 0xc1ee, 0x305b, 0xc1f1, 0x304e, 0xc1f4,
+    0x3042, 0xc1f7, 0x3036, 0xc1fa, 0x302a, 0xc1fd, 0x301e, 0xc201,
+    0x3012, 0xc204, 0x3005, 0xc207, 0x2ff9, 0xc20a, 0x2fed, 0xc20d,
+    0x2fe1, 0xc210, 0x2fd5, 0xc213, 0x2fc9, 0xc217, 0x2fbc, 0xc21a,
+    0x2fb0, 0xc21d, 0x2fa4, 0xc220, 0x2f98, 0xc223, 0x2f8c, 0xc227,
+    0x2f80, 0xc22a, 0x2f74, 0xc22d, 0x2f67, 0xc230, 0x2f5b, 0xc234,
+    0x2f4f, 0xc237, 0x2f43, 0xc23a, 0x2f37, 0xc23e, 0x2f2b, 0xc241,
+    0x2f1f, 0xc244, 0x2f13, 0xc247, 0x2f06, 0xc24b, 0x2efa, 0xc24e,
+    0x2eee, 0xc251, 0x2ee2, 0xc255, 0x2ed6, 0xc258, 0x2eca, 0xc25c,
+    0x2ebe, 0xc25f, 0x2eb2, 0xc262, 0x2ea6, 0xc266, 0x2e99, 0xc269,
+    0x2e8d, 0xc26d, 0x2e81, 0xc270, 0x2e75, 0xc273, 0x2e69, 0xc277,
+    0x2e5d, 0xc27a, 0x2e51, 0xc27e, 0x2e45, 0xc281, 0x2e39, 0xc285,
+    0x2e2d, 0xc288, 0x2e21, 0xc28c, 0x2e15, 0xc28f, 0x2e09, 0xc293,
+    0x2dfc, 0xc296, 0x2df0, 0xc29a, 0x2de4, 0xc29d, 0x2dd8, 0xc2a1,
+    0x2dcc, 0xc2a5, 0x2dc0, 0xc2a8, 0x2db4, 0xc2ac, 0x2da8, 0xc2af,
+    0x2d9c, 0xc2b3, 0x2d90, 0xc2b7, 0x2d84, 0xc2ba, 0x2d78, 0xc2be,
+    0x2d6c, 0xc2c1, 0x2d60, 0xc2c5, 0x2d54, 0xc2c9, 0x2d48, 0xc2cc,
+    0x2d3c, 0xc2d0, 0x2d30, 0xc2d4, 0x2d24, 0xc2d8, 0x2d18, 0xc2db,
+    0x2d0c, 0xc2df, 0x2d00, 0xc2e3, 0x2cf4, 0xc2e6, 0x2ce8, 0xc2ea,
+    0x2cdc, 0xc2ee, 0x2cd0, 0xc2f2, 0x2cc4, 0xc2f5, 0x2cb8, 0xc2f9,
+    0x2cac, 0xc2fd, 0x2ca0, 0xc301, 0x2c94, 0xc305, 0x2c88, 0xc308,
+    0x2c7c, 0xc30c, 0x2c70, 0xc310, 0x2c64, 0xc314, 0x2c58, 0xc318,
+    0x2c4c, 0xc31c, 0x2c40, 0xc320, 0x2c34, 0xc323, 0x2c28, 0xc327,
+    0x2c1c, 0xc32b, 0x2c10, 0xc32f, 0x2c05, 0xc333, 0x2bf9, 0xc337,
+    0x2bed, 0xc33b, 0x2be1, 0xc33f, 0x2bd5, 0xc343, 0x2bc9, 0xc347,
+    0x2bbd, 0xc34b, 0x2bb1, 0xc34f, 0x2ba5, 0xc353, 0x2b99, 0xc357,
+    0x2b8d, 0xc35b, 0x2b81, 0xc35f, 0x2b75, 0xc363, 0x2b6a, 0xc367,
+    0x2b5e, 0xc36b, 0x2b52, 0xc36f, 0x2b46, 0xc373, 0x2b3a, 0xc377,
+    0x2b2e, 0xc37b, 0x2b22, 0xc37f, 0x2b16, 0xc383, 0x2b0a, 0xc387,
+    0x2aff, 0xc38c, 0x2af3, 0xc390, 0x2ae7, 0xc394, 0x2adb, 0xc398,
+    0x2acf, 0xc39c, 0x2ac3, 0xc3a0, 0x2ab7, 0xc3a5, 0x2aac, 0xc3a9,
+    0x2aa0, 0xc3ad, 0x2a94, 0xc3b1, 0x2a88, 0xc3b5, 0x2a7c, 0xc3ba,
+    0x2a70, 0xc3be, 0x2a65, 0xc3c2, 0x2a59, 0xc3c6, 0x2a4d, 0xc3ca,
+    0x2a41, 0xc3cf, 0x2a35, 0xc3d3, 0x2a29, 0xc3d7, 0x2a1e, 0xc3dc,
+    0x2a12, 0xc3e0, 0x2a06, 0xc3e4, 0x29fa, 0xc3e9, 0x29ee, 0xc3ed,
+    0x29e3, 0xc3f1, 0x29d7, 0xc3f6, 0x29cb, 0xc3fa, 0x29bf, 0xc3fe,
+    0x29b4, 0xc403, 0x29a8, 0xc407, 0x299c, 0xc40b, 0x2990, 0xc410,
+    0x2984, 0xc414, 0x2979, 0xc419, 0x296d, 0xc41d, 0x2961, 0xc422,
+    0x2955, 0xc426, 0x294a, 0xc42a, 0x293e, 0xc42f, 0x2932, 0xc433,
+    0x2926, 0xc438, 0x291b, 0xc43c, 0x290f, 0xc441, 0x2903, 0xc445,
+    0x28f7, 0xc44a, 0x28ec, 0xc44e, 0x28e0, 0xc453, 0x28d4, 0xc457,
+    0x28c9, 0xc45c, 0x28bd, 0xc461, 0x28b1, 0xc465, 0x28a5, 0xc46a,
+    0x289a, 0xc46e, 0x288e, 0xc473, 0x2882, 0xc478, 0x2877, 0xc47c,
+    0x286b, 0xc481, 0x285f, 0xc485, 0x2854, 0xc48a, 0x2848, 0xc48f,
+    0x283c, 0xc493, 0x2831, 0xc498, 0x2825, 0xc49d, 0x2819, 0xc4a1,
+    0x280e, 0xc4a6, 0x2802, 0xc4ab, 0x27f6, 0xc4b0, 0x27eb, 0xc4b4,
+    0x27df, 0xc4b9, 0x27d3, 0xc4be, 0x27c8, 0xc4c2, 0x27bc, 0xc4c7,
+    0x27b1, 0xc4cc, 0x27a5, 0xc4d1, 0x2799, 0xc4d6, 0x278e, 0xc4da,
+    0x2782, 0xc4df, 0x2777, 0xc4e4, 0x276b, 0xc4e9, 0x275f, 0xc4ee,
+    0x2754, 0xc4f2, 0x2748, 0xc4f7, 0x273d, 0xc4fc, 0x2731, 0xc501,
+    0x2725, 0xc506, 0x271a, 0xc50b, 0x270e, 0xc510, 0x2703, 0xc515,
+    0x26f7, 0xc51a, 0x26ec, 0xc51e, 0x26e0, 0xc523, 0x26d4, 0xc528,
+    0x26c9, 0xc52d, 0x26bd, 0xc532, 0x26b2, 0xc537, 0x26a6, 0xc53c,
+    0x269b, 0xc541, 0x268f, 0xc546, 0x2684, 0xc54b, 0x2678, 0xc550,
+    0x266d, 0xc555, 0x2661, 0xc55a, 0x2656, 0xc55f, 0x264a, 0xc564,
+    0x263f, 0xc569, 0x2633, 0xc56e, 0x2628, 0xc573, 0x261c, 0xc578,
+    0x2611, 0xc57e, 0x2605, 0xc583, 0x25fa, 0xc588, 0x25ee, 0xc58d,
+    0x25e3, 0xc592, 0x25d7, 0xc597, 0x25cc, 0xc59c, 0x25c0, 0xc5a1,
+    0x25b5, 0xc5a7, 0x25a9, 0xc5ac, 0x259e, 0xc5b1, 0x2592, 0xc5b6,
+    0x2587, 0xc5bb, 0x257c, 0xc5c1, 0x2570, 0xc5c6, 0x2565, 0xc5cb,
+    0x2559, 0xc5d0, 0x254e, 0xc5d5, 0x2542, 0xc5db, 0x2537, 0xc5e0,
+    0x252c, 0xc5e5, 0x2520, 0xc5ea, 0x2515, 0xc5f0, 0x2509, 0xc5f5,
+    0x24fe, 0xc5fa, 0x24f3, 0xc600, 0x24e7, 0xc605, 0x24dc, 0xc60a,
+    0x24d0, 0xc610, 0x24c5, 0xc615, 0x24ba, 0xc61a, 0x24ae, 0xc620,
+    0x24a3, 0xc625, 0x2498, 0xc62a, 0x248c, 0xc630, 0x2481, 0xc635,
+    0x2476, 0xc63b, 0x246a, 0xc640, 0x245f, 0xc645, 0x2454, 0xc64b,
+    0x2448, 0xc650, 0x243d, 0xc656, 0x2432, 0xc65b, 0x2426, 0xc661,
+    0x241b, 0xc666, 0x2410, 0xc66c, 0x2404, 0xc671, 0x23f9, 0xc677,
+    0x23ee, 0xc67c, 0x23e2, 0xc682, 0x23d7, 0xc687, 0x23cc, 0xc68d,
+    0x23c1, 0xc692, 0x23b5, 0xc698, 0x23aa, 0xc69d, 0x239f, 0xc6a3,
+    0x2394, 0xc6a8, 0x2388, 0xc6ae, 0x237d, 0xc6b4, 0x2372, 0xc6b9,
+    0x2367, 0xc6bf, 0x235b, 0xc6c5, 0x2350, 0xc6ca, 0x2345, 0xc6d0,
+    0x233a, 0xc6d5, 0x232e, 0xc6db, 0x2323, 0xc6e1, 0x2318, 0xc6e6,
+    0x230d, 0xc6ec, 0x2301, 0xc6f2, 0x22f6, 0xc6f7, 0x22eb, 0xc6fd,
+    0x22e0, 0xc703, 0x22d5, 0xc709, 0x22ca, 0xc70e, 0x22be, 0xc714,
+    0x22b3, 0xc71a, 0x22a8, 0xc720, 0x229d, 0xc725, 0x2292, 0xc72b,
+    0x2287, 0xc731, 0x227b, 0xc737, 0x2270, 0xc73d, 0x2265, 0xc742,
+    0x225a, 0xc748, 0x224f, 0xc74e, 0x2244, 0xc754, 0x2239, 0xc75a,
+    0x222d, 0xc75f, 0x2222, 0xc765, 0x2217, 0xc76b, 0x220c, 0xc771,
+    0x2201, 0xc777, 0x21f6, 0xc77d, 0x21eb, 0xc783, 0x21e0, 0xc789,
+    0x21d5, 0xc78f, 0x21ca, 0xc795, 0x21be, 0xc79a, 0x21b3, 0xc7a0,
+    0x21a8, 0xc7a6, 0x219d, 0xc7ac, 0x2192, 0xc7b2, 0x2187, 0xc7b8,
+    0x217c, 0xc7be, 0x2171, 0xc7c4, 0x2166, 0xc7ca, 0x215b, 0xc7d0,
+    0x2150, 0xc7d6, 0x2145, 0xc7dc, 0x213a, 0xc7e2, 0x212f, 0xc7e8,
+    0x2124, 0xc7ee, 0x2119, 0xc7f5, 0x210e, 0xc7fb, 0x2103, 0xc801,
+    0x20f8, 0xc807, 0x20ed, 0xc80d, 0x20e2, 0xc813, 0x20d7, 0xc819,
+    0x20cc, 0xc81f, 0x20c1, 0xc825, 0x20b6, 0xc82b, 0x20ab, 0xc832,
+    0x20a0, 0xc838, 0x2095, 0xc83e, 0x208a, 0xc844, 0x207f, 0xc84a,
+    0x2074, 0xc850, 0x2069, 0xc857, 0x205e, 0xc85d, 0x2054, 0xc863,
+    0x2049, 0xc869, 0x203e, 0xc870, 0x2033, 0xc876, 0x2028, 0xc87c,
+    0x201d, 0xc882, 0x2012, 0xc889, 0x2007, 0xc88f, 0x1ffc, 0xc895,
+    0x1ff1, 0xc89b, 0x1fe7, 0xc8a2, 0x1fdc, 0xc8a8, 0x1fd1, 0xc8ae,
+    0x1fc6, 0xc8b5, 0x1fbb, 0xc8bb, 0x1fb0, 0xc8c1, 0x1fa5, 0xc8c8,
+    0x1f9b, 0xc8ce, 0x1f90, 0xc8d4, 0x1f85, 0xc8db, 0x1f7a, 0xc8e1,
+    0x1f6f, 0xc8e8, 0x1f65, 0xc8ee, 0x1f5a, 0xc8f4, 0x1f4f, 0xc8fb,
+    0x1f44, 0xc901, 0x1f39, 0xc908, 0x1f2f, 0xc90e, 0x1f24, 0xc915,
+    0x1f19, 0xc91b, 0x1f0e, 0xc921, 0x1f03, 0xc928, 0x1ef9, 0xc92e,
+    0x1eee, 0xc935, 0x1ee3, 0xc93b, 0x1ed8, 0xc942, 0x1ece, 0xc948,
+    0x1ec3, 0xc94f, 0x1eb8, 0xc955, 0x1ead, 0xc95c, 0x1ea3, 0xc963,
+    0x1e98, 0xc969, 0x1e8d, 0xc970, 0x1e83, 0xc976, 0x1e78, 0xc97d,
+    0x1e6d, 0xc983, 0x1e62, 0xc98a, 0x1e58, 0xc991, 0x1e4d, 0xc997,
+    0x1e42, 0xc99e, 0x1e38, 0xc9a4, 0x1e2d, 0xc9ab, 0x1e22, 0xc9b2,
+    0x1e18, 0xc9b8, 0x1e0d, 0xc9bf, 0x1e02, 0xc9c6, 0x1df8, 0xc9cc,
+    0x1ded, 0xc9d3, 0x1de2, 0xc9da, 0x1dd8, 0xc9e0, 0x1dcd, 0xc9e7,
+    0x1dc3, 0xc9ee, 0x1db8, 0xc9f5, 0x1dad, 0xc9fb, 0x1da3, 0xca02,
+    0x1d98, 0xca09, 0x1d8e, 0xca10, 0x1d83, 0xca16, 0x1d78, 0xca1d,
+    0x1d6e, 0xca24, 0x1d63, 0xca2b, 0x1d59, 0xca32, 0x1d4e, 0xca38,
+    0x1d44, 0xca3f, 0x1d39, 0xca46, 0x1d2e, 0xca4d, 0x1d24, 0xca54,
+    0x1d19, 0xca5b, 0x1d0f, 0xca61, 0x1d04, 0xca68, 0x1cfa, 0xca6f,
+    0x1cef, 0xca76, 0x1ce5, 0xca7d, 0x1cda, 0xca84, 0x1cd0, 0xca8b,
+    0x1cc5, 0xca92, 0x1cbb, 0xca99, 0x1cb0, 0xca9f, 0x1ca6, 0xcaa6,
+    0x1c9b, 0xcaad, 0x1c91, 0xcab4, 0x1c86, 0xcabb, 0x1c7c, 0xcac2,
+    0x1c72, 0xcac9, 0x1c67, 0xcad0, 0x1c5d, 0xcad7, 0x1c52, 0xcade,
+    0x1c48, 0xcae5, 0x1c3d, 0xcaec, 0x1c33, 0xcaf3, 0x1c29, 0xcafa,
+    0x1c1e, 0xcb01, 0x1c14, 0xcb08, 0x1c09, 0xcb0f, 0x1bff, 0xcb16,
+    0x1bf5, 0xcb1e, 0x1bea, 0xcb25, 0x1be0, 0xcb2c, 0x1bd5, 0xcb33,
+    0x1bcb, 0xcb3a, 0x1bc1, 0xcb41, 0x1bb6, 0xcb48, 0x1bac, 0xcb4f,
+    0x1ba2, 0xcb56, 0x1b97, 0xcb5e, 0x1b8d, 0xcb65, 0x1b83, 0xcb6c,
+    0x1b78, 0xcb73, 0x1b6e, 0xcb7a, 0x1b64, 0xcb81, 0x1b59, 0xcb89,
+    0x1b4f, 0xcb90, 0x1b45, 0xcb97, 0x1b3b, 0xcb9e, 0x1b30, 0xcba5,
+    0x1b26, 0xcbad, 0x1b1c, 0xcbb4, 0x1b11, 0xcbbb, 0x1b07, 0xcbc2,
+    0x1afd, 0xcbca, 0x1af3, 0xcbd1, 0x1ae8, 0xcbd8, 0x1ade, 0xcbe0,
+    0x1ad4, 0xcbe7, 0x1aca, 0xcbee, 0x1abf, 0xcbf5, 0x1ab5, 0xcbfd,
+    0x1aab, 0xcc04, 0x1aa1, 0xcc0b, 0x1a97, 0xcc13, 0x1a8c, 0xcc1a,
+    0x1a82, 0xcc21, 0x1a78, 0xcc29, 0x1a6e, 0xcc30, 0x1a64, 0xcc38,
+    0x1a5a, 0xcc3f, 0x1a4f, 0xcc46, 0x1a45, 0xcc4e, 0x1a3b, 0xcc55,
+    0x1a31, 0xcc5d, 0x1a27, 0xcc64, 0x1a1d, 0xcc6b, 0x1a13, 0xcc73,
+    0x1a08, 0xcc7a, 0x19fe, 0xcc82, 0x19f4, 0xcc89, 0x19ea, 0xcc91,
+    0x19e0, 0xcc98, 0x19d6, 0xcca0, 0x19cc, 0xcca7, 0x19c2, 0xccaf,
+    0x19b8, 0xccb6, 0x19ae, 0xccbe, 0x19a4, 0xccc5, 0x199a, 0xcccd,
+    0x198f, 0xccd4, 0x1985, 0xccdc, 0x197b, 0xcce3, 0x1971, 0xcceb,
+    0x1967, 0xccf3, 0x195d, 0xccfa, 0x1953, 0xcd02, 0x1949, 0xcd09,
+    0x193f, 0xcd11, 0x1935, 0xcd19, 0x192b, 0xcd20, 0x1921, 0xcd28,
+    0x1917, 0xcd30, 0x190d, 0xcd37, 0x1903, 0xcd3f, 0x18f9, 0xcd46,
+    0x18ef, 0xcd4e, 0x18e6, 0xcd56, 0x18dc, 0xcd5d, 0x18d2, 0xcd65,
+    0x18c8, 0xcd6d, 0x18be, 0xcd75, 0x18b4, 0xcd7c, 0x18aa, 0xcd84,
+    0x18a0, 0xcd8c, 0x1896, 0xcd93, 0x188c, 0xcd9b, 0x1882, 0xcda3,
+    0x1878, 0xcdab, 0x186f, 0xcdb2, 0x1865, 0xcdba, 0x185b, 0xcdc2,
+    0x1851, 0xcdca, 0x1847, 0xcdd2, 0x183d, 0xcdd9, 0x1833, 0xcde1,
+    0x182a, 0xcde9, 0x1820, 0xcdf1, 0x1816, 0xcdf9, 0x180c, 0xce01,
+    0x1802, 0xce08, 0x17f8, 0xce10, 0x17ef, 0xce18, 0x17e5, 0xce20,
+    0x17db, 0xce28, 0x17d1, 0xce30, 0x17c8, 0xce38, 0x17be, 0xce40,
+    0x17b4, 0xce47, 0x17aa, 0xce4f, 0x17a0, 0xce57, 0x1797, 0xce5f,
+    0x178d, 0xce67, 0x1783, 0xce6f, 0x177a, 0xce77, 0x1770, 0xce7f,
+    0x1766, 0xce87, 0x175c, 0xce8f, 0x1753, 0xce97, 0x1749, 0xce9f,
+    0x173f, 0xcea7, 0x1736, 0xceaf, 0x172c, 0xceb7, 0x1722, 0xcebf,
+    0x1719, 0xcec7, 0x170f, 0xcecf, 0x1705, 0xced7, 0x16fc, 0xcedf,
+    0x16f2, 0xcee7, 0x16e8, 0xceef, 0x16df, 0xcef7, 0x16d5, 0xceff,
+    0x16cb, 0xcf07, 0x16c2, 0xcf10, 0x16b8, 0xcf18, 0x16af, 0xcf20,
+    0x16a5, 0xcf28, 0x169b, 0xcf30, 0x1692, 0xcf38, 0x1688, 0xcf40,
+    0x167f, 0xcf48, 0x1675, 0xcf51, 0x166c, 0xcf59, 0x1662, 0xcf61,
+    0x1659, 0xcf69, 0x164f, 0xcf71, 0x1645, 0xcf79, 0x163c, 0xcf82,
+    0x1632, 0xcf8a, 0x1629, 0xcf92, 0x161f, 0xcf9a, 0x1616, 0xcfa3,
+    0x160c, 0xcfab, 0x1603, 0xcfb3, 0x15f9, 0xcfbb, 0x15f0, 0xcfc4,
+    0x15e6, 0xcfcc, 0x15dd, 0xcfd4, 0x15d4, 0xcfdc, 0x15ca, 0xcfe5,
+    0x15c1, 0xcfed, 0x15b7, 0xcff5, 0x15ae, 0xcffe, 0x15a4, 0xd006,
+    0x159b, 0xd00e, 0x1592, 0xd016, 0x1588, 0xd01f, 0x157f, 0xd027,
+    0x1575, 0xd030, 0x156c, 0xd038, 0x1563, 0xd040, 0x1559, 0xd049,
+    0x1550, 0xd051, 0x1547, 0xd059, 0x153d, 0xd062, 0x1534, 0xd06a,
+    0x152a, 0xd073, 0x1521, 0xd07b, 0x1518, 0xd083, 0x150e, 0xd08c,
+    0x1505, 0xd094, 0x14fc, 0xd09d, 0x14f3, 0xd0a5, 0x14e9, 0xd0ae,
+    0x14e0, 0xd0b6, 0x14d7, 0xd0bf, 0x14cd, 0xd0c7, 0x14c4, 0xd0d0,
+    0x14bb, 0xd0d8, 0x14b2, 0xd0e0, 0x14a8, 0xd0e9, 0x149f, 0xd0f2,
+    0x1496, 0xd0fa, 0x148d, 0xd103, 0x1483, 0xd10b, 0x147a, 0xd114,
+    0x1471, 0xd11c, 0x1468, 0xd125, 0x145f, 0xd12d, 0x1455, 0xd136,
+    0x144c, 0xd13e, 0x1443, 0xd147, 0x143a, 0xd150, 0x1431, 0xd158,
+    0x1428, 0xd161, 0x141e, 0xd169, 0x1415, 0xd172, 0x140c, 0xd17b,
+    0x1403, 0xd183, 0x13fa, 0xd18c, 0x13f1, 0xd195, 0x13e8, 0xd19d,
+    0x13df, 0xd1a6, 0x13d5, 0xd1af, 0x13cc, 0xd1b7, 0x13c3, 0xd1c0,
+    0x13ba, 0xd1c9, 0x13b1, 0xd1d1, 0x13a8, 0xd1da, 0x139f, 0xd1e3,
+    0x1396, 0xd1eb, 0x138d, 0xd1f4, 0x1384, 0xd1fd, 0x137b, 0xd206,
+    0x1372, 0xd20e, 0x1369, 0xd217, 0x1360, 0xd220, 0x1357, 0xd229,
+    0x134e, 0xd231, 0x1345, 0xd23a, 0x133c, 0xd243, 0x1333, 0xd24c,
+    0x132a, 0xd255, 0x1321, 0xd25d, 0x1318, 0xd266, 0x130f, 0xd26f,
+    0x1306, 0xd278, 0x12fd, 0xd281, 0x12f4, 0xd28a, 0x12eb, 0xd292,
+    0x12e2, 0xd29b, 0x12d9, 0xd2a4, 0x12d1, 0xd2ad, 0x12c8, 0xd2b6,
+    0x12bf, 0xd2bf, 0x12b6, 0xd2c8, 0x12ad, 0xd2d1, 0x12a4, 0xd2d9,
+    0x129b, 0xd2e2, 0x1292, 0xd2eb, 0x128a, 0xd2f4, 0x1281, 0xd2fd,
+    0x1278, 0xd306, 0x126f, 0xd30f, 0x1266, 0xd318, 0x125d, 0xd321,
+    0x1255, 0xd32a, 0x124c, 0xd333, 0x1243, 0xd33c, 0x123a, 0xd345,
+    0x1231, 0xd34e, 0x1229, 0xd357, 0x1220, 0xd360, 0x1217, 0xd369,
+    0x120e, 0xd372, 0x1206, 0xd37b, 0x11fd, 0xd384, 0x11f4, 0xd38d,
+    0x11eb, 0xd396, 0x11e3, 0xd39f, 0x11da, 0xd3a8, 0x11d1, 0xd3b1,
+    0x11c9, 0xd3ba, 0x11c0, 0xd3c3, 0x11b7, 0xd3cc, 0x11af, 0xd3d5,
+    0x11a6, 0xd3df, 0x119d, 0xd3e8, 0x1195, 0xd3f1, 0x118c, 0xd3fa,
+    0x1183, 0xd403, 0x117b, 0xd40c, 0x1172, 0xd415, 0x1169, 0xd41e,
+    0x1161, 0xd428, 0x1158, 0xd431, 0x1150, 0xd43a, 0x1147, 0xd443,
+    0x113e, 0xd44c, 0x1136, 0xd455, 0x112d, 0xd45f, 0x1125, 0xd468,
+    0x111c, 0xd471, 0x1114, 0xd47a, 0x110b, 0xd483, 0x1103, 0xd48d,
+    0x10fa, 0xd496, 0x10f2, 0xd49f, 0x10e9, 0xd4a8, 0x10e0, 0xd4b2,
+    0x10d8, 0xd4bb, 0x10d0, 0xd4c4, 0x10c7, 0xd4cd, 0x10bf, 0xd4d7,
+    0x10b6, 0xd4e0, 0x10ae, 0xd4e9, 0x10a5, 0xd4f3, 0x109d, 0xd4fc,
+    0x1094, 0xd505, 0x108c, 0xd50e, 0x1083, 0xd518, 0x107b, 0xd521,
+    0x1073, 0xd52a, 0x106a, 0xd534, 0x1062, 0xd53d, 0x1059, 0xd547,
+    0x1051, 0xd550, 0x1049, 0xd559, 0x1040, 0xd563, 0x1038, 0xd56c,
+    0x1030, 0xd575, 0x1027, 0xd57f, 0x101f, 0xd588, 0x1016, 0xd592,
+    0x100e, 0xd59b, 0x1006, 0xd5a4, 0xffe, 0xd5ae, 0xff5, 0xd5b7,
+    0xfed, 0xd5c1, 0xfe5, 0xd5ca, 0xfdc, 0xd5d4, 0xfd4, 0xd5dd,
+    0xfcc, 0xd5e6, 0xfc4, 0xd5f0, 0xfbb, 0xd5f9, 0xfb3, 0xd603,
+    0xfab, 0xd60c, 0xfa3, 0xd616, 0xf9a, 0xd61f, 0xf92, 0xd629,
+    0xf8a, 0xd632, 0xf82, 0xd63c, 0xf79, 0xd645, 0xf71, 0xd64f,
+    0xf69, 0xd659, 0xf61, 0xd662, 0xf59, 0xd66c, 0xf51, 0xd675,
+    0xf48, 0xd67f, 0xf40, 0xd688, 0xf38, 0xd692, 0xf30, 0xd69b,
+    0xf28, 0xd6a5, 0xf20, 0xd6af, 0xf18, 0xd6b8, 0xf10, 0xd6c2,
+    0xf07, 0xd6cb, 0xeff, 0xd6d5, 0xef7, 0xd6df, 0xeef, 0xd6e8,
+    0xee7, 0xd6f2, 0xedf, 0xd6fc, 0xed7, 0xd705, 0xecf, 0xd70f,
+    0xec7, 0xd719, 0xebf, 0xd722, 0xeb7, 0xd72c, 0xeaf, 0xd736,
+    0xea7, 0xd73f, 0xe9f, 0xd749, 0xe97, 0xd753, 0xe8f, 0xd75c,
+    0xe87, 0xd766, 0xe7f, 0xd770, 0xe77, 0xd77a, 0xe6f, 0xd783,
+    0xe67, 0xd78d, 0xe5f, 0xd797, 0xe57, 0xd7a0, 0xe4f, 0xd7aa,
+    0xe47, 0xd7b4, 0xe40, 0xd7be, 0xe38, 0xd7c8, 0xe30, 0xd7d1,
+    0xe28, 0xd7db, 0xe20, 0xd7e5, 0xe18, 0xd7ef, 0xe10, 0xd7f8,
+    0xe08, 0xd802, 0xe01, 0xd80c, 0xdf9, 0xd816, 0xdf1, 0xd820,
+    0xde9, 0xd82a, 0xde1, 0xd833, 0xdd9, 0xd83d, 0xdd2, 0xd847,
+    0xdca, 0xd851, 0xdc2, 0xd85b, 0xdba, 0xd865, 0xdb2, 0xd86f,
+    0xdab, 0xd878, 0xda3, 0xd882, 0xd9b, 0xd88c, 0xd93, 0xd896,
+    0xd8c, 0xd8a0, 0xd84, 0xd8aa, 0xd7c, 0xd8b4, 0xd75, 0xd8be,
+    0xd6d, 0xd8c8, 0xd65, 0xd8d2, 0xd5d, 0xd8dc, 0xd56, 0xd8e6,
+    0xd4e, 0xd8ef, 0xd46, 0xd8f9, 0xd3f, 0xd903, 0xd37, 0xd90d,
+    0xd30, 0xd917, 0xd28, 0xd921, 0xd20, 0xd92b, 0xd19, 0xd935,
+    0xd11, 0xd93f, 0xd09, 0xd949, 0xd02, 0xd953, 0xcfa, 0xd95d,
+    0xcf3, 0xd967, 0xceb, 0xd971, 0xce3, 0xd97b, 0xcdc, 0xd985,
+    0xcd4, 0xd98f, 0xccd, 0xd99a, 0xcc5, 0xd9a4, 0xcbe, 0xd9ae,
+    0xcb6, 0xd9b8, 0xcaf, 0xd9c2, 0xca7, 0xd9cc, 0xca0, 0xd9d6,
+    0xc98, 0xd9e0, 0xc91, 0xd9ea, 0xc89, 0xd9f4, 0xc82, 0xd9fe,
+    0xc7a, 0xda08, 0xc73, 0xda13, 0xc6b, 0xda1d, 0xc64, 0xda27,
+    0xc5d, 0xda31, 0xc55, 0xda3b, 0xc4e, 0xda45, 0xc46, 0xda4f,
+    0xc3f, 0xda5a, 0xc38, 0xda64, 0xc30, 0xda6e, 0xc29, 0xda78,
+    0xc21, 0xda82, 0xc1a, 0xda8c, 0xc13, 0xda97, 0xc0b, 0xdaa1,
+    0xc04, 0xdaab, 0xbfd, 0xdab5, 0xbf5, 0xdabf, 0xbee, 0xdaca,
+    0xbe7, 0xdad4, 0xbe0, 0xdade, 0xbd8, 0xdae8, 0xbd1, 0xdaf3,
+    0xbca, 0xdafd, 0xbc2, 0xdb07, 0xbbb, 0xdb11, 0xbb4, 0xdb1c,
+    0xbad, 0xdb26, 0xba5, 0xdb30, 0xb9e, 0xdb3b, 0xb97, 0xdb45,
+    0xb90, 0xdb4f, 0xb89, 0xdb59, 0xb81, 0xdb64, 0xb7a, 0xdb6e,
+    0xb73, 0xdb78, 0xb6c, 0xdb83, 0xb65, 0xdb8d, 0xb5e, 0xdb97,
+    0xb56, 0xdba2, 0xb4f, 0xdbac, 0xb48, 0xdbb6, 0xb41, 0xdbc1,
+    0xb3a, 0xdbcb, 0xb33, 0xdbd5, 0xb2c, 0xdbe0, 0xb25, 0xdbea,
+    0xb1e, 0xdbf5, 0xb16, 0xdbff, 0xb0f, 0xdc09, 0xb08, 0xdc14,
+    0xb01, 0xdc1e, 0xafa, 0xdc29, 0xaf3, 0xdc33, 0xaec, 0xdc3d,
+    0xae5, 0xdc48, 0xade, 0xdc52, 0xad7, 0xdc5d, 0xad0, 0xdc67,
+    0xac9, 0xdc72, 0xac2, 0xdc7c, 0xabb, 0xdc86, 0xab4, 0xdc91,
+    0xaad, 0xdc9b, 0xaa6, 0xdca6, 0xa9f, 0xdcb0, 0xa99, 0xdcbb,
+    0xa92, 0xdcc5, 0xa8b, 0xdcd0, 0xa84, 0xdcda, 0xa7d, 0xdce5,
+    0xa76, 0xdcef, 0xa6f, 0xdcfa, 0xa68, 0xdd04, 0xa61, 0xdd0f,
+    0xa5b, 0xdd19, 0xa54, 0xdd24, 0xa4d, 0xdd2e, 0xa46, 0xdd39,
+    0xa3f, 0xdd44, 0xa38, 0xdd4e, 0xa32, 0xdd59, 0xa2b, 0xdd63,
+    0xa24, 0xdd6e, 0xa1d, 0xdd78, 0xa16, 0xdd83, 0xa10, 0xdd8e,
+    0xa09, 0xdd98, 0xa02, 0xdda3, 0x9fb, 0xddad, 0x9f5, 0xddb8,
+    0x9ee, 0xddc3, 0x9e7, 0xddcd, 0x9e0, 0xddd8, 0x9da, 0xdde2,
+    0x9d3, 0xdded, 0x9cc, 0xddf8, 0x9c6, 0xde02, 0x9bf, 0xde0d,
+    0x9b8, 0xde18, 0x9b2, 0xde22, 0x9ab, 0xde2d, 0x9a4, 0xde38,
+    0x99e, 0xde42, 0x997, 0xde4d, 0x991, 0xde58, 0x98a, 0xde62,
+    0x983, 0xde6d, 0x97d, 0xde78, 0x976, 0xde83, 0x970, 0xde8d,
+    0x969, 0xde98, 0x963, 0xdea3, 0x95c, 0xdead, 0x955, 0xdeb8,
+    0x94f, 0xdec3, 0x948, 0xdece, 0x942, 0xded8, 0x93b, 0xdee3,
+    0x935, 0xdeee, 0x92e, 0xdef9, 0x928, 0xdf03, 0x921, 0xdf0e,
+    0x91b, 0xdf19, 0x915, 0xdf24, 0x90e, 0xdf2f, 0x908, 0xdf39,
+    0x901, 0xdf44, 0x8fb, 0xdf4f, 0x8f4, 0xdf5a, 0x8ee, 0xdf65,
+    0x8e8, 0xdf6f, 0x8e1, 0xdf7a, 0x8db, 0xdf85, 0x8d4, 0xdf90,
+    0x8ce, 0xdf9b, 0x8c8, 0xdfa5, 0x8c1, 0xdfb0, 0x8bb, 0xdfbb,
+    0x8b5, 0xdfc6, 0x8ae, 0xdfd1, 0x8a8, 0xdfdc, 0x8a2, 0xdfe7,
+    0x89b, 0xdff1, 0x895, 0xdffc, 0x88f, 0xe007, 0x889, 0xe012,
+    0x882, 0xe01d, 0x87c, 0xe028, 0x876, 0xe033, 0x870, 0xe03e,
+    0x869, 0xe049, 0x863, 0xe054, 0x85d, 0xe05e, 0x857, 0xe069,
+    0x850, 0xe074, 0x84a, 0xe07f, 0x844, 0xe08a, 0x83e, 0xe095,
+    0x838, 0xe0a0, 0x832, 0xe0ab, 0x82b, 0xe0b6, 0x825, 0xe0c1,
+    0x81f, 0xe0cc, 0x819, 0xe0d7, 0x813, 0xe0e2, 0x80d, 0xe0ed,
+    0x807, 0xe0f8, 0x801, 0xe103, 0x7fb, 0xe10e, 0x7f5, 0xe119,
+    0x7ee, 0xe124, 0x7e8, 0xe12f, 0x7e2, 0xe13a, 0x7dc, 0xe145,
+    0x7d6, 0xe150, 0x7d0, 0xe15b, 0x7ca, 0xe166, 0x7c4, 0xe171,
+    0x7be, 0xe17c, 0x7b8, 0xe187, 0x7b2, 0xe192, 0x7ac, 0xe19d,
+    0x7a6, 0xe1a8, 0x7a0, 0xe1b3, 0x79a, 0xe1be, 0x795, 0xe1ca,
+    0x78f, 0xe1d5, 0x789, 0xe1e0, 0x783, 0xe1eb, 0x77d, 0xe1f6,
+    0x777, 0xe201, 0x771, 0xe20c, 0x76b, 0xe217, 0x765, 0xe222,
+    0x75f, 0xe22d, 0x75a, 0xe239, 0x754, 0xe244, 0x74e, 0xe24f,
+    0x748, 0xe25a, 0x742, 0xe265, 0x73d, 0xe270, 0x737, 0xe27b,
+    0x731, 0xe287, 0x72b, 0xe292, 0x725, 0xe29d, 0x720, 0xe2a8,
+    0x71a, 0xe2b3, 0x714, 0xe2be, 0x70e, 0xe2ca, 0x709, 0xe2d5,
+    0x703, 0xe2e0, 0x6fd, 0xe2eb, 0x6f7, 0xe2f6, 0x6f2, 0xe301,
+    0x6ec, 0xe30d, 0x6e6, 0xe318, 0x6e1, 0xe323, 0x6db, 0xe32e,
+    0x6d5, 0xe33a, 0x6d0, 0xe345, 0x6ca, 0xe350, 0x6c5, 0xe35b,
+    0x6bf, 0xe367, 0x6b9, 0xe372, 0x6b4, 0xe37d, 0x6ae, 0xe388,
+    0x6a8, 0xe394, 0x6a3, 0xe39f, 0x69d, 0xe3aa, 0x698, 0xe3b5,
+    0x692, 0xe3c1, 0x68d, 0xe3cc, 0x687, 0xe3d7, 0x682, 0xe3e2,
+    0x67c, 0xe3ee, 0x677, 0xe3f9, 0x671, 0xe404, 0x66c, 0xe410,
+    0x666, 0xe41b, 0x661, 0xe426, 0x65b, 0xe432, 0x656, 0xe43d,
+    0x650, 0xe448, 0x64b, 0xe454, 0x645, 0xe45f, 0x640, 0xe46a,
+    0x63b, 0xe476, 0x635, 0xe481, 0x630, 0xe48c, 0x62a, 0xe498,
+    0x625, 0xe4a3, 0x620, 0xe4ae, 0x61a, 0xe4ba, 0x615, 0xe4c5,
+    0x610, 0xe4d0, 0x60a, 0xe4dc, 0x605, 0xe4e7, 0x600, 0xe4f3,
+    0x5fa, 0xe4fe, 0x5f5, 0xe509, 0x5f0, 0xe515, 0x5ea, 0xe520,
+    0x5e5, 0xe52c, 0x5e0, 0xe537, 0x5db, 0xe542, 0x5d5, 0xe54e,
+    0x5d0, 0xe559, 0x5cb, 0xe565, 0x5c6, 0xe570, 0x5c1, 0xe57c,
+    0x5bb, 0xe587, 0x5b6, 0xe592, 0x5b1, 0xe59e, 0x5ac, 0xe5a9,
+    0x5a7, 0xe5b5, 0x5a1, 0xe5c0, 0x59c, 0xe5cc, 0x597, 0xe5d7,
+    0x592, 0xe5e3, 0x58d, 0xe5ee, 0x588, 0xe5fa, 0x583, 0xe605,
+    0x57e, 0xe611, 0x578, 0xe61c, 0x573, 0xe628, 0x56e, 0xe633,
+    0x569, 0xe63f, 0x564, 0xe64a, 0x55f, 0xe656, 0x55a, 0xe661,
+    0x555, 0xe66d, 0x550, 0xe678, 0x54b, 0xe684, 0x546, 0xe68f,
+    0x541, 0xe69b, 0x53c, 0xe6a6, 0x537, 0xe6b2, 0x532, 0xe6bd,
+    0x52d, 0xe6c9, 0x528, 0xe6d4, 0x523, 0xe6e0, 0x51e, 0xe6ec,
+    0x51a, 0xe6f7, 0x515, 0xe703, 0x510, 0xe70e, 0x50b, 0xe71a,
+    0x506, 0xe725, 0x501, 0xe731, 0x4fc, 0xe73d, 0x4f7, 0xe748,
+    0x4f2, 0xe754, 0x4ee, 0xe75f, 0x4e9, 0xe76b, 0x4e4, 0xe777,
+    0x4df, 0xe782, 0x4da, 0xe78e, 0x4d6, 0xe799, 0x4d1, 0xe7a5,
+    0x4cc, 0xe7b1, 0x4c7, 0xe7bc, 0x4c2, 0xe7c8, 0x4be, 0xe7d3,
+    0x4b9, 0xe7df, 0x4b4, 0xe7eb, 0x4b0, 0xe7f6, 0x4ab, 0xe802,
+    0x4a6, 0xe80e, 0x4a1, 0xe819, 0x49d, 0xe825, 0x498, 0xe831,
+    0x493, 0xe83c, 0x48f, 0xe848, 0x48a, 0xe854, 0x485, 0xe85f,
+    0x481, 0xe86b, 0x47c, 0xe877, 0x478, 0xe882, 0x473, 0xe88e,
+    0x46e, 0xe89a, 0x46a, 0xe8a5, 0x465, 0xe8b1, 0x461, 0xe8bd,
+    0x45c, 0xe8c9, 0x457, 0xe8d4, 0x453, 0xe8e0, 0x44e, 0xe8ec,
+    0x44a, 0xe8f7, 0x445, 0xe903, 0x441, 0xe90f, 0x43c, 0xe91b,
+    0x438, 0xe926, 0x433, 0xe932, 0x42f, 0xe93e, 0x42a, 0xe94a,
+    0x426, 0xe955, 0x422, 0xe961, 0x41d, 0xe96d, 0x419, 0xe979,
+    0x414, 0xe984, 0x410, 0xe990, 0x40b, 0xe99c, 0x407, 0xe9a8,
+    0x403, 0xe9b4, 0x3fe, 0xe9bf, 0x3fa, 0xe9cb, 0x3f6, 0xe9d7,
+    0x3f1, 0xe9e3, 0x3ed, 0xe9ee, 0x3e9, 0xe9fa, 0x3e4, 0xea06,
+    0x3e0, 0xea12, 0x3dc, 0xea1e, 0x3d7, 0xea29, 0x3d3, 0xea35,
+    0x3cf, 0xea41, 0x3ca, 0xea4d, 0x3c6, 0xea59, 0x3c2, 0xea65,
+    0x3be, 0xea70, 0x3ba, 0xea7c, 0x3b5, 0xea88, 0x3b1, 0xea94,
+    0x3ad, 0xeaa0, 0x3a9, 0xeaac, 0x3a5, 0xeab7, 0x3a0, 0xeac3,
+    0x39c, 0xeacf, 0x398, 0xeadb, 0x394, 0xeae7, 0x390, 0xeaf3,
+    0x38c, 0xeaff, 0x387, 0xeb0a, 0x383, 0xeb16, 0x37f, 0xeb22,
+    0x37b, 0xeb2e, 0x377, 0xeb3a, 0x373, 0xeb46, 0x36f, 0xeb52,
+    0x36b, 0xeb5e, 0x367, 0xeb6a, 0x363, 0xeb75, 0x35f, 0xeb81,
+    0x35b, 0xeb8d, 0x357, 0xeb99, 0x353, 0xeba5, 0x34f, 0xebb1,
+    0x34b, 0xebbd, 0x347, 0xebc9, 0x343, 0xebd5, 0x33f, 0xebe1,
+    0x33b, 0xebed, 0x337, 0xebf9, 0x333, 0xec05, 0x32f, 0xec10,
+    0x32b, 0xec1c, 0x327, 0xec28, 0x323, 0xec34, 0x320, 0xec40,
+    0x31c, 0xec4c, 0x318, 0xec58, 0x314, 0xec64, 0x310, 0xec70,
+    0x30c, 0xec7c, 0x308, 0xec88, 0x305, 0xec94, 0x301, 0xeca0,
+    0x2fd, 0xecac, 0x2f9, 0xecb8, 0x2f5, 0xecc4, 0x2f2, 0xecd0,
+    0x2ee, 0xecdc, 0x2ea, 0xece8, 0x2e6, 0xecf4, 0x2e3, 0xed00,
+    0x2df, 0xed0c, 0x2db, 0xed18, 0x2d8, 0xed24, 0x2d4, 0xed30,
+    0x2d0, 0xed3c, 0x2cc, 0xed48, 0x2c9, 0xed54, 0x2c5, 0xed60,
+    0x2c1, 0xed6c, 0x2be, 0xed78, 0x2ba, 0xed84, 0x2b7, 0xed90,
+    0x2b3, 0xed9c, 0x2af, 0xeda8, 0x2ac, 0xedb4, 0x2a8, 0xedc0,
+    0x2a5, 0xedcc, 0x2a1, 0xedd8, 0x29d, 0xede4, 0x29a, 0xedf0,
+    0x296, 0xedfc, 0x293, 0xee09, 0x28f, 0xee15, 0x28c, 0xee21,
+    0x288, 0xee2d, 0x285, 0xee39, 0x281, 0xee45, 0x27e, 0xee51,
+    0x27a, 0xee5d, 0x277, 0xee69, 0x273, 0xee75, 0x270, 0xee81,
+    0x26d, 0xee8d, 0x269, 0xee99, 0x266, 0xeea6, 0x262, 0xeeb2,
+    0x25f, 0xeebe, 0x25c, 0xeeca, 0x258, 0xeed6, 0x255, 0xeee2,
+    0x251, 0xeeee, 0x24e, 0xeefa, 0x24b, 0xef06, 0x247, 0xef13,
+    0x244, 0xef1f, 0x241, 0xef2b, 0x23e, 0xef37, 0x23a, 0xef43,
+    0x237, 0xef4f, 0x234, 0xef5b, 0x230, 0xef67, 0x22d, 0xef74,
+    0x22a, 0xef80, 0x227, 0xef8c, 0x223, 0xef98, 0x220, 0xefa4,
+    0x21d, 0xefb0, 0x21a, 0xefbc, 0x217, 0xefc9, 0x213, 0xefd5,
+    0x210, 0xefe1, 0x20d, 0xefed, 0x20a, 0xeff9, 0x207, 0xf005,
+    0x204, 0xf012, 0x201, 0xf01e, 0x1fd, 0xf02a, 0x1fa, 0xf036,
+    0x1f7, 0xf042, 0x1f4, 0xf04e, 0x1f1, 0xf05b, 0x1ee, 0xf067,
+    0x1eb, 0xf073, 0x1e8, 0xf07f, 0x1e5, 0xf08b, 0x1e2, 0xf098,
+    0x1df, 0xf0a4, 0x1dc, 0xf0b0, 0x1d9, 0xf0bc, 0x1d6, 0xf0c8,
+    0x1d3, 0xf0d5, 0x1d0, 0xf0e1, 0x1cd, 0xf0ed, 0x1ca, 0xf0f9,
+    0x1c7, 0xf105, 0x1c4, 0xf112, 0x1c1, 0xf11e, 0x1be, 0xf12a,
+    0x1bb, 0xf136, 0x1b8, 0xf143, 0x1b6, 0xf14f, 0x1b3, 0xf15b,
+    0x1b0, 0xf167, 0x1ad, 0xf174, 0x1aa, 0xf180, 0x1a7, 0xf18c,
+    0x1a4, 0xf198, 0x1a2, 0xf1a4, 0x19f, 0xf1b1, 0x19c, 0xf1bd,
+    0x199, 0xf1c9, 0x196, 0xf1d5, 0x194, 0xf1e2, 0x191, 0xf1ee,
+    0x18e, 0xf1fa, 0x18b, 0xf207, 0x189, 0xf213, 0x186, 0xf21f,
+    0x183, 0xf22b, 0x180, 0xf238, 0x17e, 0xf244, 0x17b, 0xf250,
+    0x178, 0xf25c, 0x176, 0xf269, 0x173, 0xf275, 0x170, 0xf281,
+    0x16e, 0xf28e, 0x16b, 0xf29a, 0x168, 0xf2a6, 0x166, 0xf2b2,
+    0x163, 0xf2bf, 0x161, 0xf2cb, 0x15e, 0xf2d7, 0x15b, 0xf2e4,
+    0x159, 0xf2f0, 0x156, 0xf2fc, 0x154, 0xf308, 0x151, 0xf315,
+    0x14f, 0xf321, 0x14c, 0xf32d, 0x14a, 0xf33a, 0x147, 0xf346,
+    0x145, 0xf352, 0x142, 0xf35f, 0x140, 0xf36b, 0x13d, 0xf377,
+    0x13b, 0xf384, 0x138, 0xf390, 0x136, 0xf39c, 0x134, 0xf3a9,
+    0x131, 0xf3b5, 0x12f, 0xf3c1, 0x12c, 0xf3ce, 0x12a, 0xf3da,
+    0x128, 0xf3e6, 0x125, 0xf3f3, 0x123, 0xf3ff, 0x120, 0xf40b,
+    0x11e, 0xf418, 0x11c, 0xf424, 0x119, 0xf430, 0x117, 0xf43d,
+    0x115, 0xf449, 0x113, 0xf455, 0x110, 0xf462, 0x10e, 0xf46e,
+    0x10c, 0xf47b, 0x109, 0xf487, 0x107, 0xf493, 0x105, 0xf4a0,
+    0x103, 0xf4ac, 0x100, 0xf4b8, 0xfe, 0xf4c5, 0xfc, 0xf4d1,
+    0xfa, 0xf4dd, 0xf8, 0xf4ea, 0xf6, 0xf4f6, 0xf3, 0xf503,
+    0xf1, 0xf50f, 0xef, 0xf51b, 0xed, 0xf528, 0xeb, 0xf534,
+    0xe9, 0xf540, 0xe7, 0xf54d, 0xe4, 0xf559, 0xe2, 0xf566,
+    0xe0, 0xf572, 0xde, 0xf57e, 0xdc, 0xf58b, 0xda, 0xf597,
+    0xd8, 0xf5a4, 0xd6, 0xf5b0, 0xd4, 0xf5bc, 0xd2, 0xf5c9,
+    0xd0, 0xf5d5, 0xce, 0xf5e2, 0xcc, 0xf5ee, 0xca, 0xf5fa,
+    0xc8, 0xf607, 0xc6, 0xf613, 0xc4, 0xf620, 0xc2, 0xf62c,
+    0xc0, 0xf639, 0xbe, 0xf645, 0xbd, 0xf651, 0xbb, 0xf65e,
+    0xb9, 0xf66a, 0xb7, 0xf677, 0xb5, 0xf683, 0xb3, 0xf690,
+    0xb1, 0xf69c, 0xaf, 0xf6a8, 0xae, 0xf6b5, 0xac, 0xf6c1,
+    0xaa, 0xf6ce, 0xa8, 0xf6da, 0xa6, 0xf6e7, 0xa5, 0xf6f3,
+    0xa3, 0xf6ff, 0xa1, 0xf70c, 0x9f, 0xf718, 0x9e, 0xf725,
+    0x9c, 0xf731, 0x9a, 0xf73e, 0x98, 0xf74a, 0x97, 0xf757,
+    0x95, 0xf763, 0x93, 0xf76f, 0x92, 0xf77c, 0x90, 0xf788,
+    0x8e, 0xf795, 0x8d, 0xf7a1, 0x8b, 0xf7ae, 0x89, 0xf7ba,
+    0x88, 0xf7c7, 0x86, 0xf7d3, 0x85, 0xf7e0, 0x83, 0xf7ec,
+    0x81, 0xf7f9, 0x80, 0xf805, 0x7e, 0xf811, 0x7d, 0xf81e,
+    0x7b, 0xf82a, 0x7a, 0xf837, 0x78, 0xf843, 0x77, 0xf850,
+    0x75, 0xf85c, 0x74, 0xf869, 0x72, 0xf875, 0x71, 0xf882,
+    0x6f, 0xf88e, 0x6e, 0xf89b, 0x6c, 0xf8a7, 0x6b, 0xf8b4,
+    0x69, 0xf8c0, 0x68, 0xf8cd, 0x67, 0xf8d9, 0x65, 0xf8e6,
+    0x64, 0xf8f2, 0x62, 0xf8ff, 0x61, 0xf90b, 0x60, 0xf918,
+    0x5e, 0xf924, 0x5d, 0xf931, 0x5c, 0xf93d, 0x5a, 0xf94a,
+    0x59, 0xf956, 0x58, 0xf963, 0x56, 0xf96f, 0x55, 0xf97c,
+    0x54, 0xf988, 0x53, 0xf995, 0x51, 0xf9a1, 0x50, 0xf9ae,
+    0x4f, 0xf9ba, 0x4e, 0xf9c7, 0x4c, 0xf9d3, 0x4b, 0xf9e0,
+    0x4a, 0xf9ec, 0x49, 0xf9f9, 0x48, 0xfa05, 0x47, 0xfa12,
+    0x45, 0xfa1e, 0x44, 0xfa2b, 0x43, 0xfa37, 0x42, 0xfa44,
+    0x41, 0xfa50, 0x40, 0xfa5d, 0x3f, 0xfa69, 0x3d, 0xfa76,
+    0x3c, 0xfa82, 0x3b, 0xfa8f, 0x3a, 0xfa9b, 0x39, 0xfaa8,
+    0x38, 0xfab4, 0x37, 0xfac1, 0x36, 0xfacd, 0x35, 0xfada,
+    0x34, 0xfae6, 0x33, 0xfaf3, 0x32, 0xfb00, 0x31, 0xfb0c,
+    0x30, 0xfb19, 0x2f, 0xfb25, 0x2e, 0xfb32, 0x2d, 0xfb3e,
+    0x2c, 0xfb4b, 0x2b, 0xfb57, 0x2b, 0xfb64, 0x2a, 0xfb70,
+    0x29, 0xfb7d, 0x28, 0xfb89, 0x27, 0xfb96, 0x26, 0xfba2,
+    0x25, 0xfbaf, 0x24, 0xfbbc, 0x24, 0xfbc8, 0x23, 0xfbd5,
+    0x22, 0xfbe1, 0x21, 0xfbee, 0x20, 0xfbfa, 0x20, 0xfc07,
+    0x1f, 0xfc13, 0x1e, 0xfc20, 0x1d, 0xfc2c, 0x1d, 0xfc39,
+    0x1c, 0xfc45, 0x1b, 0xfc52, 0x1a, 0xfc5f, 0x1a, 0xfc6b,
+    0x19, 0xfc78, 0x18, 0xfc84, 0x18, 0xfc91, 0x17, 0xfc9d,
+    0x16, 0xfcaa, 0x16, 0xfcb6, 0x15, 0xfcc3, 0x14, 0xfcd0,
+    0x14, 0xfcdc, 0x13, 0xfce9, 0x13, 0xfcf5, 0x12, 0xfd02,
+    0x11, 0xfd0e, 0x11, 0xfd1b, 0x10, 0xfd27, 0x10, 0xfd34,
+    0xf, 0xfd40, 0xf, 0xfd4d, 0xe, 0xfd5a, 0xe, 0xfd66,
+    0xd, 0xfd73, 0xd, 0xfd7f, 0xc, 0xfd8c, 0xc, 0xfd98,
+    0xb, 0xfda5, 0xb, 0xfdb2, 0xa, 0xfdbe, 0xa, 0xfdcb,
+    0x9, 0xfdd7, 0x9, 0xfde4, 0x9, 0xfdf0, 0x8, 0xfdfd,
+    0x8, 0xfe09, 0x7, 0xfe16, 0x7, 0xfe23, 0x7, 0xfe2f,
+    0x6, 0xfe3c, 0x6, 0xfe48, 0x6, 0xfe55, 0x5, 0xfe61,
+    0x5, 0xfe6e, 0x5, 0xfe7a, 0x4, 0xfe87, 0x4, 0xfe94,
+    0x4, 0xfea0, 0x4, 0xfead, 0x3, 0xfeb9, 0x3, 0xfec6,
+    0x3, 0xfed2, 0x3, 0xfedf, 0x2, 0xfeec, 0x2, 0xfef8,
+    0x2, 0xff05, 0x2, 0xff11, 0x2, 0xff1e, 0x1, 0xff2a,
+    0x1, 0xff37, 0x1, 0xff44, 0x1, 0xff50, 0x1, 0xff5d,
+    0x1, 0xff69, 0x1, 0xff76, 0x0, 0xff82, 0x0, 0xff8f,
+    0x0, 0xff9b, 0x0, 0xffa8, 0x0, 0xffb5, 0x0, 0xffc1,
+    0x0, 0xffce, 0x0, 0xffda, 0x0, 0xffe7, 0x0, 0xfff3,
+    0x0, 0x0, 0x0, 0xd, 0x0, 0x19, 0x0, 0x26,
+    0x0, 0x32, 0x0, 0x3f, 0x0, 0x4b, 0x0, 0x58,
+    0x0, 0x65, 0x0, 0x71, 0x0, 0x7e, 0x1, 0x8a,
+    0x1, 0x97, 0x1, 0xa3, 0x1, 0xb0, 0x1, 0xbc,
+    0x1, 0xc9, 0x1, 0xd6, 0x2, 0xe2, 0x2, 0xef,
+    0x2, 0xfb, 0x2, 0x108, 0x2, 0x114, 0x3, 0x121,
+    0x3, 0x12e, 0x3, 0x13a, 0x3, 0x147, 0x4, 0x153,
+    0x4, 0x160, 0x4, 0x16c, 0x4, 0x179, 0x5, 0x186,
+    0x5, 0x192, 0x5, 0x19f, 0x6, 0x1ab, 0x6, 0x1b8,
+    0x6, 0x1c4, 0x7, 0x1d1, 0x7, 0x1dd, 0x7, 0x1ea,
+    0x8, 0x1f7, 0x8, 0x203, 0x9, 0x210, 0x9, 0x21c,
+    0x9, 0x229, 0xa, 0x235, 0xa, 0x242, 0xb, 0x24e,
+    0xb, 0x25b, 0xc, 0x268, 0xc, 0x274, 0xd, 0x281,
+    0xd, 0x28d, 0xe, 0x29a, 0xe, 0x2a6, 0xf, 0x2b3,
+    0xf, 0x2c0, 0x10, 0x2cc, 0x10, 0x2d9, 0x11, 0x2e5,
+    0x11, 0x2f2, 0x12, 0x2fe, 0x13, 0x30b, 0x13, 0x317,
+    0x14, 0x324, 0x14, 0x330, 0x15, 0x33d, 0x16, 0x34a,
+    0x16, 0x356, 0x17, 0x363, 0x18, 0x36f, 0x18, 0x37c,
+    0x19, 0x388, 0x1a, 0x395, 0x1a, 0x3a1, 0x1b, 0x3ae,
+    0x1c, 0x3bb, 0x1d, 0x3c7, 0x1d, 0x3d4, 0x1e, 0x3e0,
+    0x1f, 0x3ed, 0x20, 0x3f9, 0x20, 0x406, 0x21, 0x412,
+    0x22, 0x41f, 0x23, 0x42b, 0x24, 0x438, 0x24, 0x444,
+    0x25, 0x451, 0x26, 0x45e, 0x27, 0x46a, 0x28, 0x477,
+    0x29, 0x483, 0x2a, 0x490, 0x2b, 0x49c, 0x2b, 0x4a9,
+    0x2c, 0x4b5, 0x2d, 0x4c2, 0x2e, 0x4ce, 0x2f, 0x4db,
+    0x30, 0x4e7, 0x31, 0x4f4, 0x32, 0x500, 0x33, 0x50d,
+    0x34, 0x51a, 0x35, 0x526, 0x36, 0x533, 0x37, 0x53f,
+    0x38, 0x54c, 0x39, 0x558, 0x3a, 0x565, 0x3b, 0x571,
+    0x3c, 0x57e, 0x3d, 0x58a, 0x3f, 0x597, 0x40, 0x5a3,
+    0x41, 0x5b0, 0x42, 0x5bc, 0x43, 0x5c9, 0x44, 0x5d5,
+    0x45, 0x5e2, 0x47, 0x5ee, 0x48, 0x5fb, 0x49, 0x607,
+    0x4a, 0x614, 0x4b, 0x620, 0x4c, 0x62d, 0x4e, 0x639,
+    0x4f, 0x646, 0x50, 0x652, 0x51, 0x65f, 0x53, 0x66b,
+    0x54, 0x678, 0x55, 0x684, 0x56, 0x691, 0x58, 0x69d,
+    0x59, 0x6aa, 0x5a, 0x6b6, 0x5c, 0x6c3, 0x5d, 0x6cf,
+    0x5e, 0x6dc, 0x60, 0x6e8, 0x61, 0x6f5, 0x62, 0x701,
+    0x64, 0x70e, 0x65, 0x71a, 0x67, 0x727, 0x68, 0x733,
+    0x69, 0x740, 0x6b, 0x74c, 0x6c, 0x759, 0x6e, 0x765,
+    0x6f, 0x772, 0x71, 0x77e, 0x72, 0x78b, 0x74, 0x797,
+    0x75, 0x7a4, 0x77, 0x7b0, 0x78, 0x7bd, 0x7a, 0x7c9,
+    0x7b, 0x7d6, 0x7d, 0x7e2, 0x7e, 0x7ef, 0x80, 0x7fb,
+    0x81, 0x807, 0x83, 0x814, 0x85, 0x820, 0x86, 0x82d,
+    0x88, 0x839, 0x89, 0x846, 0x8b, 0x852, 0x8d, 0x85f,
+    0x8e, 0x86b, 0x90, 0x878, 0x92, 0x884, 0x93, 0x891,
+    0x95, 0x89d, 0x97, 0x8a9, 0x98, 0x8b6, 0x9a, 0x8c2,
+    0x9c, 0x8cf, 0x9e, 0x8db, 0x9f, 0x8e8, 0xa1, 0x8f4,
+    0xa3, 0x901, 0xa5, 0x90d, 0xa6, 0x919, 0xa8, 0x926,
+    0xaa, 0x932, 0xac, 0x93f, 0xae, 0x94b, 0xaf, 0x958,
+    0xb1, 0x964, 0xb3, 0x970, 0xb5, 0x97d, 0xb7, 0x989,
+    0xb9, 0x996, 0xbb, 0x9a2, 0xbd, 0x9af, 0xbe, 0x9bb,
+    0xc0, 0x9c7, 0xc2, 0x9d4, 0xc4, 0x9e0, 0xc6, 0x9ed,
+    0xc8, 0x9f9, 0xca, 0xa06, 0xcc, 0xa12, 0xce, 0xa1e,
+    0xd0, 0xa2b, 0xd2, 0xa37, 0xd4, 0xa44, 0xd6, 0xa50,
+    0xd8, 0xa5c, 0xda, 0xa69, 0xdc, 0xa75, 0xde, 0xa82,
+    0xe0, 0xa8e, 0xe2, 0xa9a, 0xe4, 0xaa7, 0xe7, 0xab3,
+    0xe9, 0xac0, 0xeb, 0xacc, 0xed, 0xad8, 0xef, 0xae5,
+    0xf1, 0xaf1, 0xf3, 0xafd, 0xf6, 0xb0a, 0xf8, 0xb16,
+    0xfa, 0xb23, 0xfc, 0xb2f, 0xfe, 0xb3b, 0x100, 0xb48,
+    0x103, 0xb54, 0x105, 0xb60, 0x107, 0xb6d, 0x109, 0xb79,
+    0x10c, 0xb85, 0x10e, 0xb92, 0x110, 0xb9e, 0x113, 0xbab,
+    0x115, 0xbb7, 0x117, 0xbc3, 0x119, 0xbd0, 0x11c, 0xbdc,
+    0x11e, 0xbe8, 0x120, 0xbf5, 0x123, 0xc01, 0x125, 0xc0d,
+    0x128, 0xc1a, 0x12a, 0xc26, 0x12c, 0xc32, 0x12f, 0xc3f,
+    0x131, 0xc4b, 0x134, 0xc57, 0x136, 0xc64, 0x138, 0xc70,
+    0x13b, 0xc7c, 0x13d, 0xc89, 0x140, 0xc95, 0x142, 0xca1,
+    0x145, 0xcae, 0x147, 0xcba, 0x14a, 0xcc6, 0x14c, 0xcd3,
+    0x14f, 0xcdf, 0x151, 0xceb, 0x154, 0xcf8, 0x156, 0xd04,
+    0x159, 0xd10, 0x15b, 0xd1c, 0x15e, 0xd29, 0x161, 0xd35,
+    0x163, 0xd41, 0x166, 0xd4e, 0x168, 0xd5a, 0x16b, 0xd66,
+    0x16e, 0xd72, 0x170, 0xd7f, 0x173, 0xd8b, 0x176, 0xd97,
+    0x178, 0xda4, 0x17b, 0xdb0, 0x17e, 0xdbc, 0x180, 0xdc8,
+    0x183, 0xdd5, 0x186, 0xde1, 0x189, 0xded, 0x18b, 0xdf9,
+    0x18e, 0xe06, 0x191, 0xe12, 0x194, 0xe1e, 0x196, 0xe2b,
+    0x199, 0xe37, 0x19c, 0xe43, 0x19f, 0xe4f, 0x1a2, 0xe5c,
+    0x1a4, 0xe68, 0x1a7, 0xe74, 0x1aa, 0xe80, 0x1ad, 0xe8c,
+    0x1b0, 0xe99, 0x1b3, 0xea5, 0x1b6, 0xeb1, 0x1b8, 0xebd,
+    0x1bb, 0xeca, 0x1be, 0xed6, 0x1c1, 0xee2, 0x1c4, 0xeee,
+    0x1c7, 0xefb, 0x1ca, 0xf07, 0x1cd, 0xf13, 0x1d0, 0xf1f,
+    0x1d3, 0xf2b, 0x1d6, 0xf38, 0x1d9, 0xf44, 0x1dc, 0xf50,
+    0x1df, 0xf5c, 0x1e2, 0xf68, 0x1e5, 0xf75, 0x1e8, 0xf81,
+    0x1eb, 0xf8d, 0x1ee, 0xf99, 0x1f1, 0xfa5, 0x1f4, 0xfb2,
+    0x1f7, 0xfbe, 0x1fa, 0xfca, 0x1fd, 0xfd6, 0x201, 0xfe2,
+    0x204, 0xfee, 0x207, 0xffb, 0x20a, 0x1007, 0x20d, 0x1013,
+    0x210, 0x101f, 0x213, 0x102b, 0x217, 0x1037, 0x21a, 0x1044,
+    0x21d, 0x1050, 0x220, 0x105c, 0x223, 0x1068, 0x227, 0x1074,
+    0x22a, 0x1080, 0x22d, 0x108c, 0x230, 0x1099, 0x234, 0x10a5,
+    0x237, 0x10b1, 0x23a, 0x10bd, 0x23e, 0x10c9, 0x241, 0x10d5,
+    0x244, 0x10e1, 0x247, 0x10ed, 0x24b, 0x10fa, 0x24e, 0x1106,
+    0x251, 0x1112, 0x255, 0x111e, 0x258, 0x112a, 0x25c, 0x1136,
+    0x25f, 0x1142, 0x262, 0x114e, 0x266, 0x115a, 0x269, 0x1167,
+    0x26d, 0x1173, 0x270, 0x117f, 0x273, 0x118b, 0x277, 0x1197,
+    0x27a, 0x11a3, 0x27e, 0x11af, 0x281, 0x11bb, 0x285, 0x11c7,
+    0x288, 0x11d3, 0x28c, 0x11df, 0x28f, 0x11eb, 0x293, 0x11f7,
+    0x296, 0x1204, 0x29a, 0x1210, 0x29d, 0x121c, 0x2a1, 0x1228,
+    0x2a5, 0x1234, 0x2a8, 0x1240, 0x2ac, 0x124c, 0x2af, 0x1258,
+    0x2b3, 0x1264, 0x2b7, 0x1270, 0x2ba, 0x127c, 0x2be, 0x1288,
+    0x2c1, 0x1294, 0x2c5, 0x12a0, 0x2c9, 0x12ac, 0x2cc, 0x12b8,
+    0x2d0, 0x12c4, 0x2d4, 0x12d0, 0x2d8, 0x12dc, 0x2db, 0x12e8,
+    0x2df, 0x12f4, 0x2e3, 0x1300, 0x2e6, 0x130c, 0x2ea, 0x1318,
+    0x2ee, 0x1324, 0x2f2, 0x1330, 0x2f5, 0x133c, 0x2f9, 0x1348,
+    0x2fd, 0x1354, 0x301, 0x1360, 0x305, 0x136c, 0x308, 0x1378,
+    0x30c, 0x1384, 0x310, 0x1390, 0x314, 0x139c, 0x318, 0x13a8,
+    0x31c, 0x13b4, 0x320, 0x13c0, 0x323, 0x13cc, 0x327, 0x13d8,
+    0x32b, 0x13e4, 0x32f, 0x13f0, 0x333, 0x13fb, 0x337, 0x1407,
+    0x33b, 0x1413, 0x33f, 0x141f, 0x343, 0x142b, 0x347, 0x1437,
+    0x34b, 0x1443, 0x34f, 0x144f, 0x353, 0x145b, 0x357, 0x1467,
+    0x35b, 0x1473, 0x35f, 0x147f, 0x363, 0x148b, 0x367, 0x1496,
+    0x36b, 0x14a2, 0x36f, 0x14ae, 0x373, 0x14ba, 0x377, 0x14c6,
+    0x37b, 0x14d2, 0x37f, 0x14de, 0x383, 0x14ea, 0x387, 0x14f6,
+    0x38c, 0x1501, 0x390, 0x150d, 0x394, 0x1519, 0x398, 0x1525,
+    0x39c, 0x1531, 0x3a0, 0x153d, 0x3a5, 0x1549, 0x3a9, 0x1554,
+    0x3ad, 0x1560, 0x3b1, 0x156c, 0x3b5, 0x1578, 0x3ba, 0x1584,
+    0x3be, 0x1590, 0x3c2, 0x159b, 0x3c6, 0x15a7, 0x3ca, 0x15b3,
+    0x3cf, 0x15bf, 0x3d3, 0x15cb, 0x3d7, 0x15d7, 0x3dc, 0x15e2,
+    0x3e0, 0x15ee, 0x3e4, 0x15fa, 0x3e9, 0x1606, 0x3ed, 0x1612,
+    0x3f1, 0x161d, 0x3f6, 0x1629, 0x3fa, 0x1635, 0x3fe, 0x1641,
+    0x403, 0x164c, 0x407, 0x1658, 0x40b, 0x1664, 0x410, 0x1670,
+    0x414, 0x167c, 0x419, 0x1687, 0x41d, 0x1693, 0x422, 0x169f,
+    0x426, 0x16ab, 0x42a, 0x16b6, 0x42f, 0x16c2, 0x433, 0x16ce,
+    0x438, 0x16da, 0x43c, 0x16e5, 0x441, 0x16f1, 0x445, 0x16fd,
+    0x44a, 0x1709, 0x44e, 0x1714, 0x453, 0x1720, 0x457, 0x172c,
+    0x45c, 0x1737, 0x461, 0x1743, 0x465, 0x174f, 0x46a, 0x175b,
+    0x46e, 0x1766, 0x473, 0x1772, 0x478, 0x177e, 0x47c, 0x1789,
+    0x481, 0x1795, 0x485, 0x17a1, 0x48a, 0x17ac, 0x48f, 0x17b8,
+    0x493, 0x17c4, 0x498, 0x17cf, 0x49d, 0x17db, 0x4a1, 0x17e7,
+    0x4a6, 0x17f2, 0x4ab, 0x17fe, 0x4b0, 0x180a, 0x4b4, 0x1815,
+    0x4b9, 0x1821, 0x4be, 0x182d, 0x4c2, 0x1838, 0x4c7, 0x1844,
+    0x4cc, 0x184f, 0x4d1, 0x185b, 0x4d6, 0x1867, 0x4da, 0x1872,
+    0x4df, 0x187e, 0x4e4, 0x1889, 0x4e9, 0x1895, 0x4ee, 0x18a1,
+    0x4f2, 0x18ac, 0x4f7, 0x18b8, 0x4fc, 0x18c3, 0x501, 0x18cf,
+    0x506, 0x18db, 0x50b, 0x18e6, 0x510, 0x18f2, 0x515, 0x18fd,
+    0x51a, 0x1909, 0x51e, 0x1914, 0x523, 0x1920, 0x528, 0x192c,
+    0x52d, 0x1937, 0x532, 0x1943, 0x537, 0x194e, 0x53c, 0x195a,
+    0x541, 0x1965, 0x546, 0x1971, 0x54b, 0x197c, 0x550, 0x1988,
+    0x555, 0x1993, 0x55a, 0x199f, 0x55f, 0x19aa, 0x564, 0x19b6,
+    0x569, 0x19c1, 0x56e, 0x19cd, 0x573, 0x19d8, 0x578, 0x19e4,
+    0x57e, 0x19ef, 0x583, 0x19fb, 0x588, 0x1a06, 0x58d, 0x1a12,
+    0x592, 0x1a1d, 0x597, 0x1a29, 0x59c, 0x1a34, 0x5a1, 0x1a40,
+    0x5a7, 0x1a4b, 0x5ac, 0x1a57, 0x5b1, 0x1a62, 0x5b6, 0x1a6e,
+    0x5bb, 0x1a79, 0x5c1, 0x1a84, 0x5c6, 0x1a90, 0x5cb, 0x1a9b,
+    0x5d0, 0x1aa7, 0x5d5, 0x1ab2, 0x5db, 0x1abe, 0x5e0, 0x1ac9,
+    0x5e5, 0x1ad4, 0x5ea, 0x1ae0, 0x5f0, 0x1aeb, 0x5f5, 0x1af7,
+    0x5fa, 0x1b02, 0x600, 0x1b0d, 0x605, 0x1b19, 0x60a, 0x1b24,
+    0x610, 0x1b30, 0x615, 0x1b3b, 0x61a, 0x1b46, 0x620, 0x1b52,
+    0x625, 0x1b5d, 0x62a, 0x1b68, 0x630, 0x1b74, 0x635, 0x1b7f,
+    0x63b, 0x1b8a, 0x640, 0x1b96, 0x645, 0x1ba1, 0x64b, 0x1bac,
+    0x650, 0x1bb8, 0x656, 0x1bc3, 0x65b, 0x1bce, 0x661, 0x1bda,
+    0x666, 0x1be5, 0x66c, 0x1bf0, 0x671, 0x1bfc, 0x677, 0x1c07,
+    0x67c, 0x1c12, 0x682, 0x1c1e, 0x687, 0x1c29, 0x68d, 0x1c34,
+    0x692, 0x1c3f, 0x698, 0x1c4b, 0x69d, 0x1c56, 0x6a3, 0x1c61,
+    0x6a8, 0x1c6c, 0x6ae, 0x1c78, 0x6b4, 0x1c83, 0x6b9, 0x1c8e,
+    0x6bf, 0x1c99, 0x6c5, 0x1ca5, 0x6ca, 0x1cb0, 0x6d0, 0x1cbb,
+    0x6d5, 0x1cc6, 0x6db, 0x1cd2, 0x6e1, 0x1cdd, 0x6e6, 0x1ce8,
+    0x6ec, 0x1cf3, 0x6f2, 0x1cff, 0x6f7, 0x1d0a, 0x6fd, 0x1d15,
+    0x703, 0x1d20, 0x709, 0x1d2b, 0x70e, 0x1d36, 0x714, 0x1d42,
+    0x71a, 0x1d4d, 0x720, 0x1d58, 0x725, 0x1d63, 0x72b, 0x1d6e,
+    0x731, 0x1d79, 0x737, 0x1d85, 0x73d, 0x1d90, 0x742, 0x1d9b,
+    0x748, 0x1da6, 0x74e, 0x1db1, 0x754, 0x1dbc, 0x75a, 0x1dc7,
+    0x75f, 0x1dd3, 0x765, 0x1dde, 0x76b, 0x1de9, 0x771, 0x1df4,
+    0x777, 0x1dff, 0x77d, 0x1e0a, 0x783, 0x1e15, 0x789, 0x1e20,
+    0x78f, 0x1e2b, 0x795, 0x1e36, 0x79a, 0x1e42, 0x7a0, 0x1e4d,
+    0x7a6, 0x1e58, 0x7ac, 0x1e63, 0x7b2, 0x1e6e, 0x7b8, 0x1e79,
+    0x7be, 0x1e84, 0x7c4, 0x1e8f, 0x7ca, 0x1e9a, 0x7d0, 0x1ea5,
+    0x7d6, 0x1eb0, 0x7dc, 0x1ebb, 0x7e2, 0x1ec6, 0x7e8, 0x1ed1,
+    0x7ee, 0x1edc, 0x7f5, 0x1ee7, 0x7fb, 0x1ef2, 0x801, 0x1efd,
+    0x807, 0x1f08, 0x80d, 0x1f13, 0x813, 0x1f1e, 0x819, 0x1f29,
+    0x81f, 0x1f34, 0x825, 0x1f3f, 0x82b, 0x1f4a, 0x832, 0x1f55,
+    0x838, 0x1f60, 0x83e, 0x1f6b, 0x844, 0x1f76, 0x84a, 0x1f81,
+    0x850, 0x1f8c, 0x857, 0x1f97, 0x85d, 0x1fa2, 0x863, 0x1fac,
+    0x869, 0x1fb7, 0x870, 0x1fc2, 0x876, 0x1fcd, 0x87c, 0x1fd8,
+    0x882, 0x1fe3, 0x889, 0x1fee, 0x88f, 0x1ff9, 0x895, 0x2004,
+    0x89b, 0x200f, 0x8a2, 0x2019, 0x8a8, 0x2024, 0x8ae, 0x202f,
+    0x8b5, 0x203a, 0x8bb, 0x2045, 0x8c1, 0x2050, 0x8c8, 0x205b,
+    0x8ce, 0x2065, 0x8d4, 0x2070, 0x8db, 0x207b, 0x8e1, 0x2086,
+    0x8e8, 0x2091, 0x8ee, 0x209b, 0x8f4, 0x20a6, 0x8fb, 0x20b1,
+    0x901, 0x20bc, 0x908, 0x20c7, 0x90e, 0x20d1, 0x915, 0x20dc,
+    0x91b, 0x20e7, 0x921, 0x20f2, 0x928, 0x20fd, 0x92e, 0x2107,
+    0x935, 0x2112, 0x93b, 0x211d, 0x942, 0x2128, 0x948, 0x2132,
+    0x94f, 0x213d, 0x955, 0x2148, 0x95c, 0x2153, 0x963, 0x215d,
+    0x969, 0x2168, 0x970, 0x2173, 0x976, 0x217d, 0x97d, 0x2188,
+    0x983, 0x2193, 0x98a, 0x219e, 0x991, 0x21a8, 0x997, 0x21b3,
+    0x99e, 0x21be, 0x9a4, 0x21c8, 0x9ab, 0x21d3, 0x9b2, 0x21de,
+    0x9b8, 0x21e8, 0x9bf, 0x21f3, 0x9c6, 0x21fe, 0x9cc, 0x2208,
+    0x9d3, 0x2213, 0x9da, 0x221e, 0x9e0, 0x2228, 0x9e7, 0x2233,
+    0x9ee, 0x223d, 0x9f5, 0x2248, 0x9fb, 0x2253, 0xa02, 0x225d,
+    0xa09, 0x2268, 0xa10, 0x2272, 0xa16, 0x227d, 0xa1d, 0x2288,
+    0xa24, 0x2292, 0xa2b, 0x229d, 0xa32, 0x22a7, 0xa38, 0x22b2,
+    0xa3f, 0x22bc, 0xa46, 0x22c7, 0xa4d, 0x22d2, 0xa54, 0x22dc,
+    0xa5b, 0x22e7, 0xa61, 0x22f1, 0xa68, 0x22fc, 0xa6f, 0x2306,
+    0xa76, 0x2311, 0xa7d, 0x231b, 0xa84, 0x2326, 0xa8b, 0x2330,
+    0xa92, 0x233b, 0xa99, 0x2345, 0xa9f, 0x2350, 0xaa6, 0x235a,
+    0xaad, 0x2365, 0xab4, 0x236f, 0xabb, 0x237a, 0xac2, 0x2384,
+    0xac9, 0x238e, 0xad0, 0x2399, 0xad7, 0x23a3, 0xade, 0x23ae,
+    0xae5, 0x23b8, 0xaec, 0x23c3, 0xaf3, 0x23cd, 0xafa, 0x23d7,
+    0xb01, 0x23e2, 0xb08, 0x23ec, 0xb0f, 0x23f7, 0xb16, 0x2401,
+    0xb1e, 0x240b, 0xb25, 0x2416, 0xb2c, 0x2420, 0xb33, 0x242b,
+    0xb3a, 0x2435, 0xb41, 0x243f, 0xb48, 0x244a, 0xb4f, 0x2454,
+    0xb56, 0x245e, 0xb5e, 0x2469, 0xb65, 0x2473, 0xb6c, 0x247d,
+    0xb73, 0x2488, 0xb7a, 0x2492, 0xb81, 0x249c, 0xb89, 0x24a7,
+    0xb90, 0x24b1, 0xb97, 0x24bb, 0xb9e, 0x24c5, 0xba5, 0x24d0,
+    0xbad, 0x24da, 0xbb4, 0x24e4, 0xbbb, 0x24ef, 0xbc2, 0x24f9,
+    0xbca, 0x2503, 0xbd1, 0x250d, 0xbd8, 0x2518, 0xbe0, 0x2522,
+    0xbe7, 0x252c, 0xbee, 0x2536, 0xbf5, 0x2541, 0xbfd, 0x254b,
+    0xc04, 0x2555, 0xc0b, 0x255f, 0xc13, 0x2569, 0xc1a, 0x2574,
+    0xc21, 0x257e, 0xc29, 0x2588, 0xc30, 0x2592, 0xc38, 0x259c,
+    0xc3f, 0x25a6, 0xc46, 0x25b1, 0xc4e, 0x25bb, 0xc55, 0x25c5,
+    0xc5d, 0x25cf, 0xc64, 0x25d9, 0xc6b, 0x25e3, 0xc73, 0x25ed,
+    0xc7a, 0x25f8, 0xc82, 0x2602, 0xc89, 0x260c, 0xc91, 0x2616,
+    0xc98, 0x2620, 0xca0, 0x262a, 0xca7, 0x2634, 0xcaf, 0x263e,
+    0xcb6, 0x2648, 0xcbe, 0x2652, 0xcc5, 0x265c, 0xccd, 0x2666,
+    0xcd4, 0x2671, 0xcdc, 0x267b, 0xce3, 0x2685, 0xceb, 0x268f,
+    0xcf3, 0x2699, 0xcfa, 0x26a3, 0xd02, 0x26ad, 0xd09, 0x26b7,
+    0xd11, 0x26c1, 0xd19, 0x26cb, 0xd20, 0x26d5, 0xd28, 0x26df,
+    0xd30, 0x26e9, 0xd37, 0x26f3, 0xd3f, 0x26fd, 0xd46, 0x2707,
+    0xd4e, 0x2711, 0xd56, 0x271a, 0xd5d, 0x2724, 0xd65, 0x272e,
+    0xd6d, 0x2738, 0xd75, 0x2742, 0xd7c, 0x274c, 0xd84, 0x2756,
+    0xd8c, 0x2760, 0xd93, 0x276a, 0xd9b, 0x2774, 0xda3, 0x277e,
+    0xdab, 0x2788, 0xdb2, 0x2791, 0xdba, 0x279b, 0xdc2, 0x27a5,
+    0xdca, 0x27af, 0xdd2, 0x27b9, 0xdd9, 0x27c3, 0xde1, 0x27cd,
+    0xde9, 0x27d6, 0xdf1, 0x27e0, 0xdf9, 0x27ea, 0xe01, 0x27f4,
+    0xe08, 0x27fe, 0xe10, 0x2808, 0xe18, 0x2811, 0xe20, 0x281b,
+    0xe28, 0x2825, 0xe30, 0x282f, 0xe38, 0x2838, 0xe40, 0x2842,
+    0xe47, 0x284c, 0xe4f, 0x2856, 0xe57, 0x2860, 0xe5f, 0x2869,
+    0xe67, 0x2873, 0xe6f, 0x287d, 0xe77, 0x2886, 0xe7f, 0x2890,
+    0xe87, 0x289a, 0xe8f, 0x28a4, 0xe97, 0x28ad, 0xe9f, 0x28b7,
+    0xea7, 0x28c1, 0xeaf, 0x28ca, 0xeb7, 0x28d4, 0xebf, 0x28de,
+    0xec7, 0x28e7, 0xecf, 0x28f1, 0xed7, 0x28fb, 0xedf, 0x2904,
+    0xee7, 0x290e, 0xeef, 0x2918, 0xef7, 0x2921, 0xeff, 0x292b,
+    0xf07, 0x2935, 0xf10, 0x293e, 0xf18, 0x2948, 0xf20, 0x2951,
+    0xf28, 0x295b, 0xf30, 0x2965, 0xf38, 0x296e, 0xf40, 0x2978,
+    0xf48, 0x2981, 0xf51, 0x298b, 0xf59, 0x2994, 0xf61, 0x299e,
+    0xf69, 0x29a7, 0xf71, 0x29b1, 0xf79, 0x29bb, 0xf82, 0x29c4,
+    0xf8a, 0x29ce, 0xf92, 0x29d7, 0xf9a, 0x29e1, 0xfa3, 0x29ea,
+    0xfab, 0x29f4, 0xfb3, 0x29fd, 0xfbb, 0x2a07, 0xfc4, 0x2a10,
+    0xfcc, 0x2a1a, 0xfd4, 0x2a23, 0xfdc, 0x2a2c, 0xfe5, 0x2a36,
+    0xfed, 0x2a3f, 0xff5, 0x2a49, 0xffe, 0x2a52, 0x1006, 0x2a5c,
+    0x100e, 0x2a65, 0x1016, 0x2a6e, 0x101f, 0x2a78, 0x1027, 0x2a81,
+    0x1030, 0x2a8b, 0x1038, 0x2a94, 0x1040, 0x2a9d, 0x1049, 0x2aa7,
+    0x1051, 0x2ab0, 0x1059, 0x2ab9, 0x1062, 0x2ac3, 0x106a, 0x2acc,
+    0x1073, 0x2ad6, 0x107b, 0x2adf, 0x1083, 0x2ae8, 0x108c, 0x2af2,
+    0x1094, 0x2afb, 0x109d, 0x2b04, 0x10a5, 0x2b0d, 0x10ae, 0x2b17,
+    0x10b6, 0x2b20, 0x10bf, 0x2b29, 0x10c7, 0x2b33, 0x10d0, 0x2b3c,
+    0x10d8, 0x2b45, 0x10e0, 0x2b4e, 0x10e9, 0x2b58, 0x10f2, 0x2b61,
+    0x10fa, 0x2b6a, 0x1103, 0x2b73, 0x110b, 0x2b7d, 0x1114, 0x2b86,
+    0x111c, 0x2b8f, 0x1125, 0x2b98, 0x112d, 0x2ba1, 0x1136, 0x2bab,
+    0x113e, 0x2bb4, 0x1147, 0x2bbd, 0x1150, 0x2bc6, 0x1158, 0x2bcf,
+    0x1161, 0x2bd8, 0x1169, 0x2be2, 0x1172, 0x2beb, 0x117b, 0x2bf4,
+    0x1183, 0x2bfd, 0x118c, 0x2c06, 0x1195, 0x2c0f, 0x119d, 0x2c18,
+    0x11a6, 0x2c21, 0x11af, 0x2c2b, 0x11b7, 0x2c34, 0x11c0, 0x2c3d,
+    0x11c9, 0x2c46, 0x11d1, 0x2c4f, 0x11da, 0x2c58, 0x11e3, 0x2c61,
+    0x11eb, 0x2c6a, 0x11f4, 0x2c73, 0x11fd, 0x2c7c, 0x1206, 0x2c85,
+    0x120e, 0x2c8e, 0x1217, 0x2c97, 0x1220, 0x2ca0, 0x1229, 0x2ca9,
+    0x1231, 0x2cb2, 0x123a, 0x2cbb, 0x1243, 0x2cc4, 0x124c, 0x2ccd,
+    0x1255, 0x2cd6, 0x125d, 0x2cdf, 0x1266, 0x2ce8, 0x126f, 0x2cf1,
+    0x1278, 0x2cfa, 0x1281, 0x2d03, 0x128a, 0x2d0c, 0x1292, 0x2d15,
+    0x129b, 0x2d1e, 0x12a4, 0x2d27, 0x12ad, 0x2d2f, 0x12b6, 0x2d38,
+    0x12bf, 0x2d41, 0x12c8, 0x2d4a, 0x12d1, 0x2d53, 0x12d9, 0x2d5c,
+    0x12e2, 0x2d65, 0x12eb, 0x2d6e, 0x12f4, 0x2d76, 0x12fd, 0x2d7f,
+    0x1306, 0x2d88, 0x130f, 0x2d91, 0x1318, 0x2d9a, 0x1321, 0x2da3,
+    0x132a, 0x2dab, 0x1333, 0x2db4, 0x133c, 0x2dbd, 0x1345, 0x2dc6,
+    0x134e, 0x2dcf, 0x1357, 0x2dd7, 0x1360, 0x2de0, 0x1369, 0x2de9,
+    0x1372, 0x2df2, 0x137b, 0x2dfa, 0x1384, 0x2e03, 0x138d, 0x2e0c,
+    0x1396, 0x2e15, 0x139f, 0x2e1d, 0x13a8, 0x2e26, 0x13b1, 0x2e2f,
+    0x13ba, 0x2e37, 0x13c3, 0x2e40, 0x13cc, 0x2e49, 0x13d5, 0x2e51,
+    0x13df, 0x2e5a, 0x13e8, 0x2e63, 0x13f1, 0x2e6b, 0x13fa, 0x2e74,
+    0x1403, 0x2e7d, 0x140c, 0x2e85, 0x1415, 0x2e8e, 0x141e, 0x2e97,
+    0x1428, 0x2e9f, 0x1431, 0x2ea8, 0x143a, 0x2eb0, 0x1443, 0x2eb9,
+    0x144c, 0x2ec2, 0x1455, 0x2eca, 0x145f, 0x2ed3, 0x1468, 0x2edb,
+    0x1471, 0x2ee4, 0x147a, 0x2eec, 0x1483, 0x2ef5, 0x148d, 0x2efd,
+    0x1496, 0x2f06, 0x149f, 0x2f0e, 0x14a8, 0x2f17, 0x14b2, 0x2f20,
+    0x14bb, 0x2f28, 0x14c4, 0x2f30, 0x14cd, 0x2f39, 0x14d7, 0x2f41,
+    0x14e0, 0x2f4a, 0x14e9, 0x2f52, 0x14f3, 0x2f5b, 0x14fc, 0x2f63,
+    0x1505, 0x2f6c, 0x150e, 0x2f74, 0x1518, 0x2f7d, 0x1521, 0x2f85,
+    0x152a, 0x2f8d, 0x1534, 0x2f96, 0x153d, 0x2f9e, 0x1547, 0x2fa7,
+    0x1550, 0x2faf, 0x1559, 0x2fb7, 0x1563, 0x2fc0, 0x156c, 0x2fc8,
+    0x1575, 0x2fd0, 0x157f, 0x2fd9, 0x1588, 0x2fe1, 0x1592, 0x2fea,
+    0x159b, 0x2ff2, 0x15a4, 0x2ffa, 0x15ae, 0x3002, 0x15b7, 0x300b,
+    0x15c1, 0x3013, 0x15ca, 0x301b, 0x15d4, 0x3024, 0x15dd, 0x302c,
+    0x15e6, 0x3034, 0x15f0, 0x303c, 0x15f9, 0x3045, 0x1603, 0x304d,
+    0x160c, 0x3055, 0x1616, 0x305d, 0x161f, 0x3066, 0x1629, 0x306e,
+    0x1632, 0x3076, 0x163c, 0x307e, 0x1645, 0x3087, 0x164f, 0x308f,
+    0x1659, 0x3097, 0x1662, 0x309f, 0x166c, 0x30a7, 0x1675, 0x30af,
+    0x167f, 0x30b8, 0x1688, 0x30c0, 0x1692, 0x30c8, 0x169b, 0x30d0,
+    0x16a5, 0x30d8, 0x16af, 0x30e0, 0x16b8, 0x30e8, 0x16c2, 0x30f0,
+    0x16cb, 0x30f9, 0x16d5, 0x3101, 0x16df, 0x3109, 0x16e8, 0x3111,
+    0x16f2, 0x3119, 0x16fc, 0x3121, 0x1705, 0x3129, 0x170f, 0x3131,
+    0x1719, 0x3139, 0x1722, 0x3141, 0x172c, 0x3149, 0x1736, 0x3151,
+    0x173f, 0x3159, 0x1749, 0x3161, 0x1753, 0x3169, 0x175c, 0x3171,
+    0x1766, 0x3179, 0x1770, 0x3181, 0x177a, 0x3189, 0x1783, 0x3191,
+    0x178d, 0x3199, 0x1797, 0x31a1, 0x17a0, 0x31a9, 0x17aa, 0x31b1,
+    0x17b4, 0x31b9, 0x17be, 0x31c0, 0x17c8, 0x31c8, 0x17d1, 0x31d0,
+    0x17db, 0x31d8, 0x17e5, 0x31e0, 0x17ef, 0x31e8, 0x17f8, 0x31f0,
+    0x1802, 0x31f8, 0x180c, 0x31ff, 0x1816, 0x3207, 0x1820, 0x320f,
+    0x182a, 0x3217, 0x1833, 0x321f, 0x183d, 0x3227, 0x1847, 0x322e,
+    0x1851, 0x3236, 0x185b, 0x323e, 0x1865, 0x3246, 0x186f, 0x324e,
+    0x1878, 0x3255, 0x1882, 0x325d, 0x188c, 0x3265, 0x1896, 0x326d,
+    0x18a0, 0x3274, 0x18aa, 0x327c, 0x18b4, 0x3284, 0x18be, 0x328b,
+    0x18c8, 0x3293, 0x18d2, 0x329b, 0x18dc, 0x32a3, 0x18e6, 0x32aa,
+    0x18ef, 0x32b2, 0x18f9, 0x32ba, 0x1903, 0x32c1, 0x190d, 0x32c9,
+    0x1917, 0x32d0, 0x1921, 0x32d8, 0x192b, 0x32e0, 0x1935, 0x32e7,
+    0x193f, 0x32ef, 0x1949, 0x32f7, 0x1953, 0x32fe, 0x195d, 0x3306,
+    0x1967, 0x330d, 0x1971, 0x3315, 0x197b, 0x331d, 0x1985, 0x3324,
+    0x198f, 0x332c, 0x199a, 0x3333, 0x19a4, 0x333b, 0x19ae, 0x3342,
+    0x19b8, 0x334a, 0x19c2, 0x3351, 0x19cc, 0x3359, 0x19d6, 0x3360,
+    0x19e0, 0x3368, 0x19ea, 0x336f, 0x19f4, 0x3377, 0x19fe, 0x337e,
+    0x1a08, 0x3386, 0x1a13, 0x338d, 0x1a1d, 0x3395, 0x1a27, 0x339c,
+    0x1a31, 0x33a3, 0x1a3b, 0x33ab, 0x1a45, 0x33b2, 0x1a4f, 0x33ba,
+    0x1a5a, 0x33c1, 0x1a64, 0x33c8, 0x1a6e, 0x33d0, 0x1a78, 0x33d7,
+    0x1a82, 0x33df, 0x1a8c, 0x33e6, 0x1a97, 0x33ed, 0x1aa1, 0x33f5,
+    0x1aab, 0x33fc, 0x1ab5, 0x3403, 0x1abf, 0x340b, 0x1aca, 0x3412,
+    0x1ad4, 0x3419, 0x1ade, 0x3420, 0x1ae8, 0x3428, 0x1af3, 0x342f,
+    0x1afd, 0x3436, 0x1b07, 0x343e, 0x1b11, 0x3445, 0x1b1c, 0x344c,
+    0x1b26, 0x3453, 0x1b30, 0x345b, 0x1b3b, 0x3462, 0x1b45, 0x3469,
+    0x1b4f, 0x3470, 0x1b59, 0x3477, 0x1b64, 0x347f, 0x1b6e, 0x3486,
+    0x1b78, 0x348d, 0x1b83, 0x3494, 0x1b8d, 0x349b, 0x1b97, 0x34a2,
+    0x1ba2, 0x34aa, 0x1bac, 0x34b1, 0x1bb6, 0x34b8, 0x1bc1, 0x34bf,
+    0x1bcb, 0x34c6, 0x1bd5, 0x34cd, 0x1be0, 0x34d4, 0x1bea, 0x34db,
+    0x1bf5, 0x34e2, 0x1bff, 0x34ea, 0x1c09, 0x34f1, 0x1c14, 0x34f8,
+    0x1c1e, 0x34ff, 0x1c29, 0x3506, 0x1c33, 0x350d, 0x1c3d, 0x3514,
+    0x1c48, 0x351b, 0x1c52, 0x3522, 0x1c5d, 0x3529, 0x1c67, 0x3530,
+    0x1c72, 0x3537, 0x1c7c, 0x353e, 0x1c86, 0x3545, 0x1c91, 0x354c,
+    0x1c9b, 0x3553, 0x1ca6, 0x355a, 0x1cb0, 0x3561, 0x1cbb, 0x3567,
+    0x1cc5, 0x356e, 0x1cd0, 0x3575, 0x1cda, 0x357c, 0x1ce5, 0x3583,
+    0x1cef, 0x358a, 0x1cfa, 0x3591, 0x1d04, 0x3598, 0x1d0f, 0x359f,
+    0x1d19, 0x35a5, 0x1d24, 0x35ac, 0x1d2e, 0x35b3, 0x1d39, 0x35ba,
+    0x1d44, 0x35c1, 0x1d4e, 0x35c8, 0x1d59, 0x35ce, 0x1d63, 0x35d5,
+    0x1d6e, 0x35dc, 0x1d78, 0x35e3, 0x1d83, 0x35ea, 0x1d8e, 0x35f0,
+    0x1d98, 0x35f7, 0x1da3, 0x35fe, 0x1dad, 0x3605, 0x1db8, 0x360b,
+    0x1dc3, 0x3612, 0x1dcd, 0x3619, 0x1dd8, 0x3620, 0x1de2, 0x3626,
+    0x1ded, 0x362d, 0x1df8, 0x3634, 0x1e02, 0x363a, 0x1e0d, 0x3641,
+    0x1e18, 0x3648, 0x1e22, 0x364e, 0x1e2d, 0x3655, 0x1e38, 0x365c,
+    0x1e42, 0x3662, 0x1e4d, 0x3669, 0x1e58, 0x366f, 0x1e62, 0x3676,
+    0x1e6d, 0x367d, 0x1e78, 0x3683, 0x1e83, 0x368a, 0x1e8d, 0x3690,
+    0x1e98, 0x3697, 0x1ea3, 0x369d, 0x1ead, 0x36a4, 0x1eb8, 0x36ab,
+    0x1ec3, 0x36b1, 0x1ece, 0x36b8, 0x1ed8, 0x36be, 0x1ee3, 0x36c5,
+    0x1eee, 0x36cb, 0x1ef9, 0x36d2, 0x1f03, 0x36d8, 0x1f0e, 0x36df,
+    0x1f19, 0x36e5, 0x1f24, 0x36eb, 0x1f2f, 0x36f2, 0x1f39, 0x36f8,
+    0x1f44, 0x36ff, 0x1f4f, 0x3705, 0x1f5a, 0x370c, 0x1f65, 0x3712,
+    0x1f6f, 0x3718, 0x1f7a, 0x371f, 0x1f85, 0x3725, 0x1f90, 0x372c,
+    0x1f9b, 0x3732, 0x1fa5, 0x3738, 0x1fb0, 0x373f, 0x1fbb, 0x3745,
+    0x1fc6, 0x374b, 0x1fd1, 0x3752, 0x1fdc, 0x3758, 0x1fe7, 0x375e,
+    0x1ff1, 0x3765, 0x1ffc, 0x376b, 0x2007, 0x3771, 0x2012, 0x3777,
+    0x201d, 0x377e, 0x2028, 0x3784, 0x2033, 0x378a, 0x203e, 0x3790,
+    0x2049, 0x3797, 0x2054, 0x379d, 0x205e, 0x37a3, 0x2069, 0x37a9,
+    0x2074, 0x37b0, 0x207f, 0x37b6, 0x208a, 0x37bc, 0x2095, 0x37c2,
+    0x20a0, 0x37c8, 0x20ab, 0x37ce, 0x20b6, 0x37d5, 0x20c1, 0x37db,
+    0x20cc, 0x37e1, 0x20d7, 0x37e7, 0x20e2, 0x37ed, 0x20ed, 0x37f3,
+    0x20f8, 0x37f9, 0x2103, 0x37ff, 0x210e, 0x3805, 0x2119, 0x380b,
+    0x2124, 0x3812, 0x212f, 0x3818, 0x213a, 0x381e, 0x2145, 0x3824,
+    0x2150, 0x382a, 0x215b, 0x3830, 0x2166, 0x3836, 0x2171, 0x383c,
+    0x217c, 0x3842, 0x2187, 0x3848, 0x2192, 0x384e, 0x219d, 0x3854,
+    0x21a8, 0x385a, 0x21b3, 0x3860, 0x21be, 0x3866, 0x21ca, 0x386b,
+    0x21d5, 0x3871, 0x21e0, 0x3877, 0x21eb, 0x387d, 0x21f6, 0x3883,
+    0x2201, 0x3889, 0x220c, 0x388f, 0x2217, 0x3895, 0x2222, 0x389b,
+    0x222d, 0x38a1, 0x2239, 0x38a6, 0x2244, 0x38ac, 0x224f, 0x38b2,
+    0x225a, 0x38b8, 0x2265, 0x38be, 0x2270, 0x38c3, 0x227b, 0x38c9,
+    0x2287, 0x38cf, 0x2292, 0x38d5, 0x229d, 0x38db, 0x22a8, 0x38e0,
+    0x22b3, 0x38e6, 0x22be, 0x38ec, 0x22ca, 0x38f2, 0x22d5, 0x38f7,
+    0x22e0, 0x38fd, 0x22eb, 0x3903, 0x22f6, 0x3909, 0x2301, 0x390e,
+    0x230d, 0x3914, 0x2318, 0x391a, 0x2323, 0x391f, 0x232e, 0x3925,
+    0x233a, 0x392b, 0x2345, 0x3930, 0x2350, 0x3936, 0x235b, 0x393b,
+    0x2367, 0x3941, 0x2372, 0x3947, 0x237d, 0x394c, 0x2388, 0x3952,
+    0x2394, 0x3958, 0x239f, 0x395d, 0x23aa, 0x3963, 0x23b5, 0x3968,
+    0x23c1, 0x396e, 0x23cc, 0x3973, 0x23d7, 0x3979, 0x23e2, 0x397e,
+    0x23ee, 0x3984, 0x23f9, 0x3989, 0x2404, 0x398f, 0x2410, 0x3994,
+    0x241b, 0x399a, 0x2426, 0x399f, 0x2432, 0x39a5, 0x243d, 0x39aa,
+    0x2448, 0x39b0, 0x2454, 0x39b5, 0x245f, 0x39bb, 0x246a, 0x39c0,
+    0x2476, 0x39c5, 0x2481, 0x39cb, 0x248c, 0x39d0, 0x2498, 0x39d6,
+    0x24a3, 0x39db, 0x24ae, 0x39e0, 0x24ba, 0x39e6, 0x24c5, 0x39eb,
+    0x24d0, 0x39f0, 0x24dc, 0x39f6, 0x24e7, 0x39fb, 0x24f3, 0x3a00,
+    0x24fe, 0x3a06, 0x2509, 0x3a0b, 0x2515, 0x3a10, 0x2520, 0x3a16,
+    0x252c, 0x3a1b, 0x2537, 0x3a20, 0x2542, 0x3a25, 0x254e, 0x3a2b,
+    0x2559, 0x3a30, 0x2565, 0x3a35, 0x2570, 0x3a3a, 0x257c, 0x3a3f,
+    0x2587, 0x3a45, 0x2592, 0x3a4a, 0x259e, 0x3a4f, 0x25a9, 0x3a54,
+    0x25b5, 0x3a59, 0x25c0, 0x3a5f, 0x25cc, 0x3a64, 0x25d7, 0x3a69,
+    0x25e3, 0x3a6e, 0x25ee, 0x3a73, 0x25fa, 0x3a78, 0x2605, 0x3a7d,
+    0x2611, 0x3a82, 0x261c, 0x3a88, 0x2628, 0x3a8d, 0x2633, 0x3a92,
+    0x263f, 0x3a97, 0x264a, 0x3a9c, 0x2656, 0x3aa1, 0x2661, 0x3aa6,
+    0x266d, 0x3aab, 0x2678, 0x3ab0, 0x2684, 0x3ab5, 0x268f, 0x3aba,
+    0x269b, 0x3abf, 0x26a6, 0x3ac4, 0x26b2, 0x3ac9, 0x26bd, 0x3ace,
+    0x26c9, 0x3ad3, 0x26d4, 0x3ad8, 0x26e0, 0x3add, 0x26ec, 0x3ae2,
+    0x26f7, 0x3ae6, 0x2703, 0x3aeb, 0x270e, 0x3af0, 0x271a, 0x3af5,
+    0x2725, 0x3afa, 0x2731, 0x3aff, 0x273d, 0x3b04, 0x2748, 0x3b09,
+    0x2754, 0x3b0e, 0x275f, 0x3b12, 0x276b, 0x3b17, 0x2777, 0x3b1c,
+    0x2782, 0x3b21, 0x278e, 0x3b26, 0x2799, 0x3b2a, 0x27a5, 0x3b2f,
+    0x27b1, 0x3b34, 0x27bc, 0x3b39, 0x27c8, 0x3b3e, 0x27d3, 0x3b42,
+    0x27df, 0x3b47, 0x27eb, 0x3b4c, 0x27f6, 0x3b50, 0x2802, 0x3b55,
+    0x280e, 0x3b5a, 0x2819, 0x3b5f, 0x2825, 0x3b63, 0x2831, 0x3b68,
+    0x283c, 0x3b6d, 0x2848, 0x3b71, 0x2854, 0x3b76, 0x285f, 0x3b7b,
+    0x286b, 0x3b7f, 0x2877, 0x3b84, 0x2882, 0x3b88, 0x288e, 0x3b8d,
+    0x289a, 0x3b92, 0x28a5, 0x3b96, 0x28b1, 0x3b9b, 0x28bd, 0x3b9f,
+    0x28c9, 0x3ba4, 0x28d4, 0x3ba9, 0x28e0, 0x3bad, 0x28ec, 0x3bb2,
+    0x28f7, 0x3bb6, 0x2903, 0x3bbb, 0x290f, 0x3bbf, 0x291b, 0x3bc4,
+    0x2926, 0x3bc8, 0x2932, 0x3bcd, 0x293e, 0x3bd1, 0x294a, 0x3bd6,
+    0x2955, 0x3bda, 0x2961, 0x3bde, 0x296d, 0x3be3, 0x2979, 0x3be7,
+    0x2984, 0x3bec, 0x2990, 0x3bf0, 0x299c, 0x3bf5, 0x29a8, 0x3bf9,
+    0x29b4, 0x3bfd, 0x29bf, 0x3c02, 0x29cb, 0x3c06, 0x29d7, 0x3c0a,
+    0x29e3, 0x3c0f, 0x29ee, 0x3c13, 0x29fa, 0x3c17, 0x2a06, 0x3c1c,
+    0x2a12, 0x3c20, 0x2a1e, 0x3c24, 0x2a29, 0x3c29, 0x2a35, 0x3c2d,
+    0x2a41, 0x3c31, 0x2a4d, 0x3c36, 0x2a59, 0x3c3a, 0x2a65, 0x3c3e,
+    0x2a70, 0x3c42, 0x2a7c, 0x3c46, 0x2a88, 0x3c4b, 0x2a94, 0x3c4f,
+    0x2aa0, 0x3c53, 0x2aac, 0x3c57, 0x2ab7, 0x3c5b, 0x2ac3, 0x3c60,
+    0x2acf, 0x3c64, 0x2adb, 0x3c68, 0x2ae7, 0x3c6c, 0x2af3, 0x3c70,
+    0x2aff, 0x3c74, 0x2b0a, 0x3c79, 0x2b16, 0x3c7d, 0x2b22, 0x3c81,
+    0x2b2e, 0x3c85, 0x2b3a, 0x3c89, 0x2b46, 0x3c8d, 0x2b52, 0x3c91,
+    0x2b5e, 0x3c95, 0x2b6a, 0x3c99, 0x2b75, 0x3c9d, 0x2b81, 0x3ca1,
+    0x2b8d, 0x3ca5, 0x2b99, 0x3ca9, 0x2ba5, 0x3cad, 0x2bb1, 0x3cb1,
+    0x2bbd, 0x3cb5, 0x2bc9, 0x3cb9, 0x2bd5, 0x3cbd, 0x2be1, 0x3cc1,
+    0x2bed, 0x3cc5, 0x2bf9, 0x3cc9, 0x2c05, 0x3ccd, 0x2c10, 0x3cd1,
+    0x2c1c, 0x3cd5, 0x2c28, 0x3cd9, 0x2c34, 0x3cdd, 0x2c40, 0x3ce0,
+    0x2c4c, 0x3ce4, 0x2c58, 0x3ce8, 0x2c64, 0x3cec, 0x2c70, 0x3cf0,
+    0x2c7c, 0x3cf4, 0x2c88, 0x3cf8, 0x2c94, 0x3cfb, 0x2ca0, 0x3cff,
+    0x2cac, 0x3d03, 0x2cb8, 0x3d07, 0x2cc4, 0x3d0b, 0x2cd0, 0x3d0e,
+    0x2cdc, 0x3d12, 0x2ce8, 0x3d16, 0x2cf4, 0x3d1a, 0x2d00, 0x3d1d,
+    0x2d0c, 0x3d21, 0x2d18, 0x3d25, 0x2d24, 0x3d28, 0x2d30, 0x3d2c,
+    0x2d3c, 0x3d30, 0x2d48, 0x3d34, 0x2d54, 0x3d37, 0x2d60, 0x3d3b,
+    0x2d6c, 0x3d3f, 0x2d78, 0x3d42, 0x2d84, 0x3d46, 0x2d90, 0x3d49,
+    0x2d9c, 0x3d4d, 0x2da8, 0x3d51, 0x2db4, 0x3d54, 0x2dc0, 0x3d58,
+    0x2dcc, 0x3d5b, 0x2dd8, 0x3d5f, 0x2de4, 0x3d63, 0x2df0, 0x3d66,
+    0x2dfc, 0x3d6a, 0x2e09, 0x3d6d, 0x2e15, 0x3d71, 0x2e21, 0x3d74,
+    0x2e2d, 0x3d78, 0x2e39, 0x3d7b, 0x2e45, 0x3d7f, 0x2e51, 0x3d82,
+    0x2e5d, 0x3d86, 0x2e69, 0x3d89, 0x2e75, 0x3d8d, 0x2e81, 0x3d90,
+    0x2e8d, 0x3d93, 0x2e99, 0x3d97, 0x2ea6, 0x3d9a, 0x2eb2, 0x3d9e,
+    0x2ebe, 0x3da1, 0x2eca, 0x3da4, 0x2ed6, 0x3da8, 0x2ee2, 0x3dab,
+    0x2eee, 0x3daf, 0x2efa, 0x3db2, 0x2f06, 0x3db5, 0x2f13, 0x3db9,
+    0x2f1f, 0x3dbc, 0x2f2b, 0x3dbf, 0x2f37, 0x3dc2, 0x2f43, 0x3dc6,
+    0x2f4f, 0x3dc9, 0x2f5b, 0x3dcc, 0x2f67, 0x3dd0, 0x2f74, 0x3dd3,
+    0x2f80, 0x3dd6, 0x2f8c, 0x3dd9, 0x2f98, 0x3ddd, 0x2fa4, 0x3de0,
+    0x2fb0, 0x3de3, 0x2fbc, 0x3de6, 0x2fc9, 0x3de9, 0x2fd5, 0x3ded,
+    0x2fe1, 0x3df0, 0x2fed, 0x3df3, 0x2ff9, 0x3df6, 0x3005, 0x3df9,
+    0x3012, 0x3dfc, 0x301e, 0x3dff, 0x302a, 0x3e03, 0x3036, 0x3e06,
+    0x3042, 0x3e09, 0x304e, 0x3e0c, 0x305b, 0x3e0f, 0x3067, 0x3e12,
+    0x3073, 0x3e15, 0x307f, 0x3e18, 0x308b, 0x3e1b, 0x3098, 0x3e1e,
+    0x30a4, 0x3e21, 0x30b0, 0x3e24, 0x30bc, 0x3e27, 0x30c8, 0x3e2a,
+    0x30d5, 0x3e2d, 0x30e1, 0x3e30, 0x30ed, 0x3e33, 0x30f9, 0x3e36,
+    0x3105, 0x3e39, 0x3112, 0x3e3c, 0x311e, 0x3e3f, 0x312a, 0x3e42,
+    0x3136, 0x3e45, 0x3143, 0x3e48, 0x314f, 0x3e4a, 0x315b, 0x3e4d,
+    0x3167, 0x3e50, 0x3174, 0x3e53, 0x3180, 0x3e56, 0x318c, 0x3e59,
+    0x3198, 0x3e5c, 0x31a4, 0x3e5e, 0x31b1, 0x3e61, 0x31bd, 0x3e64,
+    0x31c9, 0x3e67, 0x31d5, 0x3e6a, 0x31e2, 0x3e6c, 0x31ee, 0x3e6f,
+    0x31fa, 0x3e72, 0x3207, 0x3e75, 0x3213, 0x3e77, 0x321f, 0x3e7a,
+    0x322b, 0x3e7d, 0x3238, 0x3e80, 0x3244, 0x3e82, 0x3250, 0x3e85,
+    0x325c, 0x3e88, 0x3269, 0x3e8a, 0x3275, 0x3e8d, 0x3281, 0x3e90,
+    0x328e, 0x3e92, 0x329a, 0x3e95, 0x32a6, 0x3e98, 0x32b2, 0x3e9a,
+    0x32bf, 0x3e9d, 0x32cb, 0x3e9f, 0x32d7, 0x3ea2, 0x32e4, 0x3ea5,
+    0x32f0, 0x3ea7, 0x32fc, 0x3eaa, 0x3308, 0x3eac, 0x3315, 0x3eaf,
+    0x3321, 0x3eb1, 0x332d, 0x3eb4, 0x333a, 0x3eb6, 0x3346, 0x3eb9,
+    0x3352, 0x3ebb, 0x335f, 0x3ebe, 0x336b, 0x3ec0, 0x3377, 0x3ec3,
+    0x3384, 0x3ec5, 0x3390, 0x3ec8, 0x339c, 0x3eca, 0x33a9, 0x3ecc,
+    0x33b5, 0x3ecf, 0x33c1, 0x3ed1, 0x33ce, 0x3ed4, 0x33da, 0x3ed6,
+    0x33e6, 0x3ed8, 0x33f3, 0x3edb, 0x33ff, 0x3edd, 0x340b, 0x3ee0,
+    0x3418, 0x3ee2, 0x3424, 0x3ee4, 0x3430, 0x3ee7, 0x343d, 0x3ee9,
+    0x3449, 0x3eeb, 0x3455, 0x3eed, 0x3462, 0x3ef0, 0x346e, 0x3ef2,
+    0x347b, 0x3ef4, 0x3487, 0x3ef7, 0x3493, 0x3ef9, 0x34a0, 0x3efb,
+    0x34ac, 0x3efd, 0x34b8, 0x3f00, 0x34c5, 0x3f02, 0x34d1, 0x3f04,
+    0x34dd, 0x3f06, 0x34ea, 0x3f08, 0x34f6, 0x3f0a, 0x3503, 0x3f0d,
+    0x350f, 0x3f0f, 0x351b, 0x3f11, 0x3528, 0x3f13, 0x3534, 0x3f15,
+    0x3540, 0x3f17, 0x354d, 0x3f19, 0x3559, 0x3f1c, 0x3566, 0x3f1e,
+    0x3572, 0x3f20, 0x357e, 0x3f22, 0x358b, 0x3f24, 0x3597, 0x3f26,
+    0x35a4, 0x3f28, 0x35b0, 0x3f2a, 0x35bc, 0x3f2c, 0x35c9, 0x3f2e,
+    0x35d5, 0x3f30, 0x35e2, 0x3f32, 0x35ee, 0x3f34, 0x35fa, 0x3f36,
+    0x3607, 0x3f38, 0x3613, 0x3f3a, 0x3620, 0x3f3c, 0x362c, 0x3f3e,
+    0x3639, 0x3f40, 0x3645, 0x3f42, 0x3651, 0x3f43, 0x365e, 0x3f45,
+    0x366a, 0x3f47, 0x3677, 0x3f49, 0x3683, 0x3f4b, 0x3690, 0x3f4d,
+    0x369c, 0x3f4f, 0x36a8, 0x3f51, 0x36b5, 0x3f52, 0x36c1, 0x3f54,
+    0x36ce, 0x3f56, 0x36da, 0x3f58, 0x36e7, 0x3f5a, 0x36f3, 0x3f5b,
+    0x36ff, 0x3f5d, 0x370c, 0x3f5f, 0x3718, 0x3f61, 0x3725, 0x3f62,
+    0x3731, 0x3f64, 0x373e, 0x3f66, 0x374a, 0x3f68, 0x3757, 0x3f69,
+    0x3763, 0x3f6b, 0x376f, 0x3f6d, 0x377c, 0x3f6e, 0x3788, 0x3f70,
+    0x3795, 0x3f72, 0x37a1, 0x3f73, 0x37ae, 0x3f75, 0x37ba, 0x3f77,
+    0x37c7, 0x3f78, 0x37d3, 0x3f7a, 0x37e0, 0x3f7b, 0x37ec, 0x3f7d,
+    0x37f9, 0x3f7f, 0x3805, 0x3f80, 0x3811, 0x3f82, 0x381e, 0x3f83,
+    0x382a, 0x3f85, 0x3837, 0x3f86, 0x3843, 0x3f88, 0x3850, 0x3f89,
+    0x385c, 0x3f8b, 0x3869, 0x3f8c, 0x3875, 0x3f8e, 0x3882, 0x3f8f,
+    0x388e, 0x3f91, 0x389b, 0x3f92, 0x38a7, 0x3f94, 0x38b4, 0x3f95,
+    0x38c0, 0x3f97, 0x38cd, 0x3f98, 0x38d9, 0x3f99, 0x38e6, 0x3f9b,
+    0x38f2, 0x3f9c, 0x38ff, 0x3f9e, 0x390b, 0x3f9f, 0x3918, 0x3fa0,
+    0x3924, 0x3fa2, 0x3931, 0x3fa3, 0x393d, 0x3fa4, 0x394a, 0x3fa6,
+    0x3956, 0x3fa7, 0x3963, 0x3fa8, 0x396f, 0x3faa, 0x397c, 0x3fab,
+    0x3988, 0x3fac, 0x3995, 0x3fad, 0x39a1, 0x3faf, 0x39ae, 0x3fb0,
+    0x39ba, 0x3fb1, 0x39c7, 0x3fb2, 0x39d3, 0x3fb4, 0x39e0, 0x3fb5,
+    0x39ec, 0x3fb6, 0x39f9, 0x3fb7, 0x3a05, 0x3fb8, 0x3a12, 0x3fb9,
+    0x3a1e, 0x3fbb, 0x3a2b, 0x3fbc, 0x3a37, 0x3fbd, 0x3a44, 0x3fbe,
+    0x3a50, 0x3fbf, 0x3a5d, 0x3fc0, 0x3a69, 0x3fc1, 0x3a76, 0x3fc3,
+    0x3a82, 0x3fc4, 0x3a8f, 0x3fc5, 0x3a9b, 0x3fc6, 0x3aa8, 0x3fc7,
+    0x3ab4, 0x3fc8, 0x3ac1, 0x3fc9, 0x3acd, 0x3fca, 0x3ada, 0x3fcb,
+    0x3ae6, 0x3fcc, 0x3af3, 0x3fcd, 0x3b00, 0x3fce, 0x3b0c, 0x3fcf,
+    0x3b19, 0x3fd0, 0x3b25, 0x3fd1, 0x3b32, 0x3fd2, 0x3b3e, 0x3fd3,
+    0x3b4b, 0x3fd4, 0x3b57, 0x3fd5, 0x3b64, 0x3fd5, 0x3b70, 0x3fd6,
+    0x3b7d, 0x3fd7, 0x3b89, 0x3fd8, 0x3b96, 0x3fd9, 0x3ba2, 0x3fda,
+    0x3baf, 0x3fdb, 0x3bbc, 0x3fdc, 0x3bc8, 0x3fdc, 0x3bd5, 0x3fdd,
+    0x3be1, 0x3fde, 0x3bee, 0x3fdf, 0x3bfa, 0x3fe0, 0x3c07, 0x3fe0,
+    0x3c13, 0x3fe1, 0x3c20, 0x3fe2, 0x3c2c, 0x3fe3, 0x3c39, 0x3fe3,
+    0x3c45, 0x3fe4, 0x3c52, 0x3fe5, 0x3c5f, 0x3fe6, 0x3c6b, 0x3fe6,
+    0x3c78, 0x3fe7, 0x3c84, 0x3fe8, 0x3c91, 0x3fe8, 0x3c9d, 0x3fe9,
+    0x3caa, 0x3fea, 0x3cb6, 0x3fea, 0x3cc3, 0x3feb, 0x3cd0, 0x3fec,
+    0x3cdc, 0x3fec, 0x3ce9, 0x3fed, 0x3cf5, 0x3fed, 0x3d02, 0x3fee,
+    0x3d0e, 0x3fef, 0x3d1b, 0x3fef, 0x3d27, 0x3ff0, 0x3d34, 0x3ff0,
+    0x3d40, 0x3ff1, 0x3d4d, 0x3ff1, 0x3d5a, 0x3ff2, 0x3d66, 0x3ff2,
+    0x3d73, 0x3ff3, 0x3d7f, 0x3ff3, 0x3d8c, 0x3ff4, 0x3d98, 0x3ff4,
+    0x3da5, 0x3ff5, 0x3db2, 0x3ff5, 0x3dbe, 0x3ff6, 0x3dcb, 0x3ff6,
+    0x3dd7, 0x3ff7, 0x3de4, 0x3ff7, 0x3df0, 0x3ff7, 0x3dfd, 0x3ff8,
+    0x3e09, 0x3ff8, 0x3e16, 0x3ff9, 0x3e23, 0x3ff9, 0x3e2f, 0x3ff9,
+    0x3e3c, 0x3ffa, 0x3e48, 0x3ffa, 0x3e55, 0x3ffa, 0x3e61, 0x3ffb,
+    0x3e6e, 0x3ffb, 0x3e7a, 0x3ffb, 0x3e87, 0x3ffc, 0x3e94, 0x3ffc,
+    0x3ea0, 0x3ffc, 0x3ead, 0x3ffc, 0x3eb9, 0x3ffd, 0x3ec6, 0x3ffd,
+    0x3ed2, 0x3ffd, 0x3edf, 0x3ffd, 0x3eec, 0x3ffe, 0x3ef8, 0x3ffe,
+    0x3f05, 0x3ffe, 0x3f11, 0x3ffe, 0x3f1e, 0x3ffe, 0x3f2a, 0x3fff,
+    0x3f37, 0x3fff, 0x3f44, 0x3fff, 0x3f50, 0x3fff, 0x3f5d, 0x3fff,
+    0x3f69, 0x3fff, 0x3f76, 0x3fff, 0x3f82, 0x4000, 0x3f8f, 0x4000,
+    0x3f9b, 0x4000, 0x3fa8, 0x4000, 0x3fb5, 0x4000, 0x3fc1, 0x4000,
+    0x3fce, 0x4000, 0x3fda, 0x4000, 0x3fe7, 0x4000, 0x3ff3, 0x4000,
 };
 
 /**    
@@ -1110,1038 +1110,1036 @@
 *       round(pBTable[i] * pow(2, 15))    
 *    
 */
-
 static const q15_t ALIGN4 realCoefBQ15[8192] = {
-  0x4000, 0x4000, 0x400d, 0x4000, 0x4019, 0x4000, 0x4026, 0x4000,
-  0x4032, 0x4000, 0x403f, 0x4000, 0x404b, 0x4000, 0x4058, 0x4000,
-  0x4065, 0x4000, 0x4071, 0x4000, 0x407e, 0x4000, 0x408a, 0x3fff,
-  0x4097, 0x3fff, 0x40a3, 0x3fff, 0x40b0, 0x3fff, 0x40bc, 0x3fff,
-  0x40c9, 0x3fff, 0x40d6, 0x3fff, 0x40e2, 0x3ffe, 0x40ef, 0x3ffe,
-  0x40fb, 0x3ffe, 0x4108, 0x3ffe, 0x4114, 0x3ffe, 0x4121, 0x3ffd,
-  0x412e, 0x3ffd, 0x413a, 0x3ffd, 0x4147, 0x3ffd, 0x4153, 0x3ffc,
-  0x4160, 0x3ffc, 0x416c, 0x3ffc, 0x4179, 0x3ffc, 0x4186, 0x3ffb,
-  0x4192, 0x3ffb, 0x419f, 0x3ffb, 0x41ab, 0x3ffa, 0x41b8, 0x3ffa,
-  0x41c4, 0x3ffa, 0x41d1, 0x3ff9, 0x41dd, 0x3ff9, 0x41ea, 0x3ff9,
-  0x41f7, 0x3ff8, 0x4203, 0x3ff8, 0x4210, 0x3ff7, 0x421c, 0x3ff7,
-  0x4229, 0x3ff7, 0x4235, 0x3ff6, 0x4242, 0x3ff6, 0x424e, 0x3ff5,
-  0x425b, 0x3ff5, 0x4268, 0x3ff4, 0x4274, 0x3ff4, 0x4281, 0x3ff3,
-  0x428d, 0x3ff3, 0x429a, 0x3ff2, 0x42a6, 0x3ff2, 0x42b3, 0x3ff1,
-  0x42c0, 0x3ff1, 0x42cc, 0x3ff0, 0x42d9, 0x3ff0, 0x42e5, 0x3fef,
-  0x42f2, 0x3fef, 0x42fe, 0x3fee, 0x430b, 0x3fed, 0x4317, 0x3fed,
-  0x4324, 0x3fec, 0x4330, 0x3fec, 0x433d, 0x3feb, 0x434a, 0x3fea,
-  0x4356, 0x3fea, 0x4363, 0x3fe9, 0x436f, 0x3fe8, 0x437c, 0x3fe8,
-  0x4388, 0x3fe7, 0x4395, 0x3fe6, 0x43a1, 0x3fe6, 0x43ae, 0x3fe5,
-  0x43bb, 0x3fe4, 0x43c7, 0x3fe3, 0x43d4, 0x3fe3, 0x43e0, 0x3fe2,
-  0x43ed, 0x3fe1, 0x43f9, 0x3fe0, 0x4406, 0x3fe0, 0x4412, 0x3fdf,
-  0x441f, 0x3fde, 0x442b, 0x3fdd, 0x4438, 0x3fdc, 0x4444, 0x3fdc,
-  0x4451, 0x3fdb, 0x445e, 0x3fda, 0x446a, 0x3fd9, 0x4477, 0x3fd8,
-  0x4483, 0x3fd7, 0x4490, 0x3fd6, 0x449c, 0x3fd5, 0x44a9, 0x3fd5,
-  0x44b5, 0x3fd4, 0x44c2, 0x3fd3, 0x44ce, 0x3fd2, 0x44db, 0x3fd1,
-  0x44e7, 0x3fd0, 0x44f4, 0x3fcf, 0x4500, 0x3fce, 0x450d, 0x3fcd,
-  0x451a, 0x3fcc, 0x4526, 0x3fcb, 0x4533, 0x3fca, 0x453f, 0x3fc9,
-  0x454c, 0x3fc8, 0x4558, 0x3fc7, 0x4565, 0x3fc6, 0x4571, 0x3fc5,
-  0x457e, 0x3fc4, 0x458a, 0x3fc3, 0x4597, 0x3fc1, 0x45a3, 0x3fc0,
-  0x45b0, 0x3fbf, 0x45bc, 0x3fbe, 0x45c9, 0x3fbd, 0x45d5, 0x3fbc,
-  0x45e2, 0x3fbb, 0x45ee, 0x3fb9, 0x45fb, 0x3fb8, 0x4607, 0x3fb7,
-  0x4614, 0x3fb6, 0x4620, 0x3fb5, 0x462d, 0x3fb4, 0x4639, 0x3fb2,
-  0x4646, 0x3fb1, 0x4652, 0x3fb0, 0x465f, 0x3faf, 0x466b, 0x3fad,
-  0x4678, 0x3fac, 0x4684, 0x3fab, 0x4691, 0x3faa, 0x469d, 0x3fa8,
-  0x46aa, 0x3fa7, 0x46b6, 0x3fa6, 0x46c3, 0x3fa4, 0x46cf, 0x3fa3,
-  0x46dc, 0x3fa2, 0x46e8, 0x3fa0, 0x46f5, 0x3f9f, 0x4701, 0x3f9e,
-  0x470e, 0x3f9c, 0x471a, 0x3f9b, 0x4727, 0x3f99, 0x4733, 0x3f98,
-  0x4740, 0x3f97, 0x474c, 0x3f95, 0x4759, 0x3f94, 0x4765, 0x3f92,
-  0x4772, 0x3f91, 0x477e, 0x3f8f, 0x478b, 0x3f8e, 0x4797, 0x3f8c,
-  0x47a4, 0x3f8b, 0x47b0, 0x3f89, 0x47bd, 0x3f88, 0x47c9, 0x3f86,
-  0x47d6, 0x3f85, 0x47e2, 0x3f83, 0x47ef, 0x3f82, 0x47fb, 0x3f80,
-  0x4807, 0x3f7f, 0x4814, 0x3f7d, 0x4820, 0x3f7b, 0x482d, 0x3f7a,
-  0x4839, 0x3f78, 0x4846, 0x3f77, 0x4852, 0x3f75, 0x485f, 0x3f73,
-  0x486b, 0x3f72, 0x4878, 0x3f70, 0x4884, 0x3f6e, 0x4891, 0x3f6d,
-  0x489d, 0x3f6b, 0x48a9, 0x3f69, 0x48b6, 0x3f68, 0x48c2, 0x3f66,
-  0x48cf, 0x3f64, 0x48db, 0x3f62, 0x48e8, 0x3f61, 0x48f4, 0x3f5f,
-  0x4901, 0x3f5d, 0x490d, 0x3f5b, 0x4919, 0x3f5a, 0x4926, 0x3f58,
-  0x4932, 0x3f56, 0x493f, 0x3f54, 0x494b, 0x3f52, 0x4958, 0x3f51,
-  0x4964, 0x3f4f, 0x4970, 0x3f4d, 0x497d, 0x3f4b, 0x4989, 0x3f49,
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-  0x5b02, 0xc5fa, 0x5af7, 0xc5f5, 0x5aeb, 0xc5f0, 0x5ae0, 0xc5ea,
-  0x5ad4, 0xc5e5, 0x5ac9, 0xc5e0, 0x5abe, 0xc5db, 0x5ab2, 0xc5d5,
-  0x5aa7, 0xc5d0, 0x5a9b, 0xc5cb, 0x5a90, 0xc5c6, 0x5a84, 0xc5c1,
-  0x5a79, 0xc5bb, 0x5a6e, 0xc5b6, 0x5a62, 0xc5b1, 0x5a57, 0xc5ac,
-  0x5a4b, 0xc5a7, 0x5a40, 0xc5a1, 0x5a34, 0xc59c, 0x5a29, 0xc597,
-  0x5a1d, 0xc592, 0x5a12, 0xc58d, 0x5a06, 0xc588, 0x59fb, 0xc583,
-  0x59ef, 0xc57e, 0x59e4, 0xc578, 0x59d8, 0xc573, 0x59cd, 0xc56e,
-  0x59c1, 0xc569, 0x59b6, 0xc564, 0x59aa, 0xc55f, 0x599f, 0xc55a,
-  0x5993, 0xc555, 0x5988, 0xc550, 0x597c, 0xc54b, 0x5971, 0xc546,
-  0x5965, 0xc541, 0x595a, 0xc53c, 0x594e, 0xc537, 0x5943, 0xc532,
-  0x5937, 0xc52d, 0x592c, 0xc528, 0x5920, 0xc523, 0x5914, 0xc51e,
-  0x5909, 0xc51a, 0x58fd, 0xc515, 0x58f2, 0xc510, 0x58e6, 0xc50b,
-  0x58db, 0xc506, 0x58cf, 0xc501, 0x58c3, 0xc4fc, 0x58b8, 0xc4f7,
-  0x58ac, 0xc4f2, 0x58a1, 0xc4ee, 0x5895, 0xc4e9, 0x5889, 0xc4e4,
-  0x587e, 0xc4df, 0x5872, 0xc4da, 0x5867, 0xc4d6, 0x585b, 0xc4d1,
-  0x584f, 0xc4cc, 0x5844, 0xc4c7, 0x5838, 0xc4c2, 0x582d, 0xc4be,
-  0x5821, 0xc4b9, 0x5815, 0xc4b4, 0x580a, 0xc4b0, 0x57fe, 0xc4ab,
-  0x57f2, 0xc4a6, 0x57e7, 0xc4a1, 0x57db, 0xc49d, 0x57cf, 0xc498,
-  0x57c4, 0xc493, 0x57b8, 0xc48f, 0x57ac, 0xc48a, 0x57a1, 0xc485,
-  0x5795, 0xc481, 0x5789, 0xc47c, 0x577e, 0xc478, 0x5772, 0xc473,
-  0x5766, 0xc46e, 0x575b, 0xc46a, 0x574f, 0xc465, 0x5743, 0xc461,
-  0x5737, 0xc45c, 0x572c, 0xc457, 0x5720, 0xc453, 0x5714, 0xc44e,
-  0x5709, 0xc44a, 0x56fd, 0xc445, 0x56f1, 0xc441, 0x56e5, 0xc43c,
-  0x56da, 0xc438, 0x56ce, 0xc433, 0x56c2, 0xc42f, 0x56b6, 0xc42a,
-  0x56ab, 0xc426, 0x569f, 0xc422, 0x5693, 0xc41d, 0x5687, 0xc419,
-  0x567c, 0xc414, 0x5670, 0xc410, 0x5664, 0xc40b, 0x5658, 0xc407,
-  0x564c, 0xc403, 0x5641, 0xc3fe, 0x5635, 0xc3fa, 0x5629, 0xc3f6,
-  0x561d, 0xc3f1, 0x5612, 0xc3ed, 0x5606, 0xc3e9, 0x55fa, 0xc3e4,
-  0x55ee, 0xc3e0, 0x55e2, 0xc3dc, 0x55d7, 0xc3d7, 0x55cb, 0xc3d3,
-  0x55bf, 0xc3cf, 0x55b3, 0xc3ca, 0x55a7, 0xc3c6, 0x559b, 0xc3c2,
-  0x5590, 0xc3be, 0x5584, 0xc3ba, 0x5578, 0xc3b5, 0x556c, 0xc3b1,
-  0x5560, 0xc3ad, 0x5554, 0xc3a9, 0x5549, 0xc3a5, 0x553d, 0xc3a0,
-  0x5531, 0xc39c, 0x5525, 0xc398, 0x5519, 0xc394, 0x550d, 0xc390,
-  0x5501, 0xc38c, 0x54f6, 0xc387, 0x54ea, 0xc383, 0x54de, 0xc37f,
-  0x54d2, 0xc37b, 0x54c6, 0xc377, 0x54ba, 0xc373, 0x54ae, 0xc36f,
-  0x54a2, 0xc36b, 0x5496, 0xc367, 0x548b, 0xc363, 0x547f, 0xc35f,
-  0x5473, 0xc35b, 0x5467, 0xc357, 0x545b, 0xc353, 0x544f, 0xc34f,
-  0x5443, 0xc34b, 0x5437, 0xc347, 0x542b, 0xc343, 0x541f, 0xc33f,
-  0x5413, 0xc33b, 0x5407, 0xc337, 0x53fb, 0xc333, 0x53f0, 0xc32f,
-  0x53e4, 0xc32b, 0x53d8, 0xc327, 0x53cc, 0xc323, 0x53c0, 0xc320,
-  0x53b4, 0xc31c, 0x53a8, 0xc318, 0x539c, 0xc314, 0x5390, 0xc310,
-  0x5384, 0xc30c, 0x5378, 0xc308, 0x536c, 0xc305, 0x5360, 0xc301,
-  0x5354, 0xc2fd, 0x5348, 0xc2f9, 0x533c, 0xc2f5, 0x5330, 0xc2f2,
-  0x5324, 0xc2ee, 0x5318, 0xc2ea, 0x530c, 0xc2e6, 0x5300, 0xc2e3,
-  0x52f4, 0xc2df, 0x52e8, 0xc2db, 0x52dc, 0xc2d8, 0x52d0, 0xc2d4,
-  0x52c4, 0xc2d0, 0x52b8, 0xc2cc, 0x52ac, 0xc2c9, 0x52a0, 0xc2c5,
-  0x5294, 0xc2c1, 0x5288, 0xc2be, 0x527c, 0xc2ba, 0x5270, 0xc2b7,
-  0x5264, 0xc2b3, 0x5258, 0xc2af, 0x524c, 0xc2ac, 0x5240, 0xc2a8,
-  0x5234, 0xc2a5, 0x5228, 0xc2a1, 0x521c, 0xc29d, 0x5210, 0xc29a,
-  0x5204, 0xc296, 0x51f7, 0xc293, 0x51eb, 0xc28f, 0x51df, 0xc28c,
-  0x51d3, 0xc288, 0x51c7, 0xc285, 0x51bb, 0xc281, 0x51af, 0xc27e,
-  0x51a3, 0xc27a, 0x5197, 0xc277, 0x518b, 0xc273, 0x517f, 0xc270,
-  0x5173, 0xc26d, 0x5167, 0xc269, 0x515a, 0xc266, 0x514e, 0xc262,
-  0x5142, 0xc25f, 0x5136, 0xc25c, 0x512a, 0xc258, 0x511e, 0xc255,
-  0x5112, 0xc251, 0x5106, 0xc24e, 0x50fa, 0xc24b, 0x50ed, 0xc247,
-  0x50e1, 0xc244, 0x50d5, 0xc241, 0x50c9, 0xc23e, 0x50bd, 0xc23a,
-  0x50b1, 0xc237, 0x50a5, 0xc234, 0x5099, 0xc230, 0x508c, 0xc22d,
-  0x5080, 0xc22a, 0x5074, 0xc227, 0x5068, 0xc223, 0x505c, 0xc220,
-  0x5050, 0xc21d, 0x5044, 0xc21a, 0x5037, 0xc217, 0x502b, 0xc213,
-  0x501f, 0xc210, 0x5013, 0xc20d, 0x5007, 0xc20a, 0x4ffb, 0xc207,
-  0x4fee, 0xc204, 0x4fe2, 0xc201, 0x4fd6, 0xc1fd, 0x4fca, 0xc1fa,
-  0x4fbe, 0xc1f7, 0x4fb2, 0xc1f4, 0x4fa5, 0xc1f1, 0x4f99, 0xc1ee,
-  0x4f8d, 0xc1eb, 0x4f81, 0xc1e8, 0x4f75, 0xc1e5, 0x4f68, 0xc1e2,
-  0x4f5c, 0xc1df, 0x4f50, 0xc1dc, 0x4f44, 0xc1d9, 0x4f38, 0xc1d6,
-  0x4f2b, 0xc1d3, 0x4f1f, 0xc1d0, 0x4f13, 0xc1cd, 0x4f07, 0xc1ca,
-  0x4efb, 0xc1c7, 0x4eee, 0xc1c4, 0x4ee2, 0xc1c1, 0x4ed6, 0xc1be,
-  0x4eca, 0xc1bb, 0x4ebd, 0xc1b8, 0x4eb1, 0xc1b6, 0x4ea5, 0xc1b3,
-  0x4e99, 0xc1b0, 0x4e8c, 0xc1ad, 0x4e80, 0xc1aa, 0x4e74, 0xc1a7,
-  0x4e68, 0xc1a4, 0x4e5c, 0xc1a2, 0x4e4f, 0xc19f, 0x4e43, 0xc19c,
-  0x4e37, 0xc199, 0x4e2b, 0xc196, 0x4e1e, 0xc194, 0x4e12, 0xc191,
-  0x4e06, 0xc18e, 0x4df9, 0xc18b, 0x4ded, 0xc189, 0x4de1, 0xc186,
-  0x4dd5, 0xc183, 0x4dc8, 0xc180, 0x4dbc, 0xc17e, 0x4db0, 0xc17b,
-  0x4da4, 0xc178, 0x4d97, 0xc176, 0x4d8b, 0xc173, 0x4d7f, 0xc170,
-  0x4d72, 0xc16e, 0x4d66, 0xc16b, 0x4d5a, 0xc168, 0x4d4e, 0xc166,
-  0x4d41, 0xc163, 0x4d35, 0xc161, 0x4d29, 0xc15e, 0x4d1c, 0xc15b,
-  0x4d10, 0xc159, 0x4d04, 0xc156, 0x4cf8, 0xc154, 0x4ceb, 0xc151,
-  0x4cdf, 0xc14f, 0x4cd3, 0xc14c, 0x4cc6, 0xc14a, 0x4cba, 0xc147,
-  0x4cae, 0xc145, 0x4ca1, 0xc142, 0x4c95, 0xc140, 0x4c89, 0xc13d,
-  0x4c7c, 0xc13b, 0x4c70, 0xc138, 0x4c64, 0xc136, 0x4c57, 0xc134,
-  0x4c4b, 0xc131, 0x4c3f, 0xc12f, 0x4c32, 0xc12c, 0x4c26, 0xc12a,
-  0x4c1a, 0xc128, 0x4c0d, 0xc125, 0x4c01, 0xc123, 0x4bf5, 0xc120,
-  0x4be8, 0xc11e, 0x4bdc, 0xc11c, 0x4bd0, 0xc119, 0x4bc3, 0xc117,
-  0x4bb7, 0xc115, 0x4bab, 0xc113, 0x4b9e, 0xc110, 0x4b92, 0xc10e,
-  0x4b85, 0xc10c, 0x4b79, 0xc109, 0x4b6d, 0xc107, 0x4b60, 0xc105,
-  0x4b54, 0xc103, 0x4b48, 0xc100, 0x4b3b, 0xc0fe, 0x4b2f, 0xc0fc,
-  0x4b23, 0xc0fa, 0x4b16, 0xc0f8, 0x4b0a, 0xc0f6, 0x4afd, 0xc0f3,
-  0x4af1, 0xc0f1, 0x4ae5, 0xc0ef, 0x4ad8, 0xc0ed, 0x4acc, 0xc0eb,
-  0x4ac0, 0xc0e9, 0x4ab3, 0xc0e7, 0x4aa7, 0xc0e4, 0x4a9a, 0xc0e2,
-  0x4a8e, 0xc0e0, 0x4a82, 0xc0de, 0x4a75, 0xc0dc, 0x4a69, 0xc0da,
-  0x4a5c, 0xc0d8, 0x4a50, 0xc0d6, 0x4a44, 0xc0d4, 0x4a37, 0xc0d2,
-  0x4a2b, 0xc0d0, 0x4a1e, 0xc0ce, 0x4a12, 0xc0cc, 0x4a06, 0xc0ca,
-  0x49f9, 0xc0c8, 0x49ed, 0xc0c6, 0x49e0, 0xc0c4, 0x49d4, 0xc0c2,
-  0x49c7, 0xc0c0, 0x49bb, 0xc0be, 0x49af, 0xc0bd, 0x49a2, 0xc0bb,
-  0x4996, 0xc0b9, 0x4989, 0xc0b7, 0x497d, 0xc0b5, 0x4970, 0xc0b3,
-  0x4964, 0xc0b1, 0x4958, 0xc0af, 0x494b, 0xc0ae, 0x493f, 0xc0ac,
-  0x4932, 0xc0aa, 0x4926, 0xc0a8, 0x4919, 0xc0a6, 0x490d, 0xc0a5,
-  0x4901, 0xc0a3, 0x48f4, 0xc0a1, 0x48e8, 0xc09f, 0x48db, 0xc09e,
-  0x48cf, 0xc09c, 0x48c2, 0xc09a, 0x48b6, 0xc098, 0x48a9, 0xc097,
-  0x489d, 0xc095, 0x4891, 0xc093, 0x4884, 0xc092, 0x4878, 0xc090,
-  0x486b, 0xc08e, 0x485f, 0xc08d, 0x4852, 0xc08b, 0x4846, 0xc089,
-  0x4839, 0xc088, 0x482d, 0xc086, 0x4820, 0xc085, 0x4814, 0xc083,
-  0x4807, 0xc081, 0x47fb, 0xc080, 0x47ef, 0xc07e, 0x47e2, 0xc07d,
-  0x47d6, 0xc07b, 0x47c9, 0xc07a, 0x47bd, 0xc078, 0x47b0, 0xc077,
-  0x47a4, 0xc075, 0x4797, 0xc074, 0x478b, 0xc072, 0x477e, 0xc071,
-  0x4772, 0xc06f, 0x4765, 0xc06e, 0x4759, 0xc06c, 0x474c, 0xc06b,
-  0x4740, 0xc069, 0x4733, 0xc068, 0x4727, 0xc067, 0x471a, 0xc065,
-  0x470e, 0xc064, 0x4701, 0xc062, 0x46f5, 0xc061, 0x46e8, 0xc060,
-  0x46dc, 0xc05e, 0x46cf, 0xc05d, 0x46c3, 0xc05c, 0x46b6, 0xc05a,
-  0x46aa, 0xc059, 0x469d, 0xc058, 0x4691, 0xc056, 0x4684, 0xc055,
-  0x4678, 0xc054, 0x466b, 0xc053, 0x465f, 0xc051, 0x4652, 0xc050,
-  0x4646, 0xc04f, 0x4639, 0xc04e, 0x462d, 0xc04c, 0x4620, 0xc04b,
-  0x4614, 0xc04a, 0x4607, 0xc049, 0x45fb, 0xc048, 0x45ee, 0xc047,
-  0x45e2, 0xc045, 0x45d5, 0xc044, 0x45c9, 0xc043, 0x45bc, 0xc042,
-  0x45b0, 0xc041, 0x45a3, 0xc040, 0x4597, 0xc03f, 0x458a, 0xc03d,
-  0x457e, 0xc03c, 0x4571, 0xc03b, 0x4565, 0xc03a, 0x4558, 0xc039,
-  0x454c, 0xc038, 0x453f, 0xc037, 0x4533, 0xc036, 0x4526, 0xc035,
-  0x451a, 0xc034, 0x450d, 0xc033, 0x4500, 0xc032, 0x44f4, 0xc031,
-  0x44e7, 0xc030, 0x44db, 0xc02f, 0x44ce, 0xc02e, 0x44c2, 0xc02d,
-  0x44b5, 0xc02c, 0x44a9, 0xc02b, 0x449c, 0xc02b, 0x4490, 0xc02a,
-  0x4483, 0xc029, 0x4477, 0xc028, 0x446a, 0xc027, 0x445e, 0xc026,
-  0x4451, 0xc025, 0x4444, 0xc024, 0x4438, 0xc024, 0x442b, 0xc023,
-  0x441f, 0xc022, 0x4412, 0xc021, 0x4406, 0xc020, 0x43f9, 0xc020,
-  0x43ed, 0xc01f, 0x43e0, 0xc01e, 0x43d4, 0xc01d, 0x43c7, 0xc01d,
-  0x43bb, 0xc01c, 0x43ae, 0xc01b, 0x43a1, 0xc01a, 0x4395, 0xc01a,
-  0x4388, 0xc019, 0x437c, 0xc018, 0x436f, 0xc018, 0x4363, 0xc017,
-  0x4356, 0xc016, 0x434a, 0xc016, 0x433d, 0xc015, 0x4330, 0xc014,
-  0x4324, 0xc014, 0x4317, 0xc013, 0x430b, 0xc013, 0x42fe, 0xc012,
-  0x42f2, 0xc011, 0x42e5, 0xc011, 0x42d9, 0xc010, 0x42cc, 0xc010,
-  0x42c0, 0xc00f, 0x42b3, 0xc00f, 0x42a6, 0xc00e, 0x429a, 0xc00e,
-  0x428d, 0xc00d, 0x4281, 0xc00d, 0x4274, 0xc00c, 0x4268, 0xc00c,
-  0x425b, 0xc00b, 0x424e, 0xc00b, 0x4242, 0xc00a, 0x4235, 0xc00a,
-  0x4229, 0xc009, 0x421c, 0xc009, 0x4210, 0xc009, 0x4203, 0xc008,
-  0x41f7, 0xc008, 0x41ea, 0xc007, 0x41dd, 0xc007, 0x41d1, 0xc007,
-  0x41c4, 0xc006, 0x41b8, 0xc006, 0x41ab, 0xc006, 0x419f, 0xc005,
-  0x4192, 0xc005, 0x4186, 0xc005, 0x4179, 0xc004, 0x416c, 0xc004,
-  0x4160, 0xc004, 0x4153, 0xc004, 0x4147, 0xc003, 0x413a, 0xc003,
-  0x412e, 0xc003, 0x4121, 0xc003, 0x4114, 0xc002, 0x4108, 0xc002,
-  0x40fb, 0xc002, 0x40ef, 0xc002, 0x40e2, 0xc002, 0x40d6, 0xc001,
-  0x40c9, 0xc001, 0x40bc, 0xc001, 0x40b0, 0xc001, 0x40a3, 0xc001,
-  0x4097, 0xc001, 0x408a, 0xc001, 0x407e, 0xc000, 0x4071, 0xc000,
-  0x4065, 0xc000, 0x4058, 0xc000, 0x404b, 0xc000, 0x403f, 0xc000,
-  0x4032, 0xc000, 0x4026, 0xc000, 0x4019, 0xc000, 0x400d, 0xc000,
+    0x4000, 0x4000, 0x400d, 0x4000, 0x4019, 0x4000, 0x4026, 0x4000,
+    0x4032, 0x4000, 0x403f, 0x4000, 0x404b, 0x4000, 0x4058, 0x4000,
+    0x4065, 0x4000, 0x4071, 0x4000, 0x407e, 0x4000, 0x408a, 0x3fff,
+    0x4097, 0x3fff, 0x40a3, 0x3fff, 0x40b0, 0x3fff, 0x40bc, 0x3fff,
+    0x40c9, 0x3fff, 0x40d6, 0x3fff, 0x40e2, 0x3ffe, 0x40ef, 0x3ffe,
+    0x40fb, 0x3ffe, 0x4108, 0x3ffe, 0x4114, 0x3ffe, 0x4121, 0x3ffd,
+    0x412e, 0x3ffd, 0x413a, 0x3ffd, 0x4147, 0x3ffd, 0x4153, 0x3ffc,
+    0x4160, 0x3ffc, 0x416c, 0x3ffc, 0x4179, 0x3ffc, 0x4186, 0x3ffb,
+    0x4192, 0x3ffb, 0x419f, 0x3ffb, 0x41ab, 0x3ffa, 0x41b8, 0x3ffa,
+    0x41c4, 0x3ffa, 0x41d1, 0x3ff9, 0x41dd, 0x3ff9, 0x41ea, 0x3ff9,
+    0x41f7, 0x3ff8, 0x4203, 0x3ff8, 0x4210, 0x3ff7, 0x421c, 0x3ff7,
+    0x4229, 0x3ff7, 0x4235, 0x3ff6, 0x4242, 0x3ff6, 0x424e, 0x3ff5,
+    0x425b, 0x3ff5, 0x4268, 0x3ff4, 0x4274, 0x3ff4, 0x4281, 0x3ff3,
+    0x428d, 0x3ff3, 0x429a, 0x3ff2, 0x42a6, 0x3ff2, 0x42b3, 0x3ff1,
+    0x42c0, 0x3ff1, 0x42cc, 0x3ff0, 0x42d9, 0x3ff0, 0x42e5, 0x3fef,
+    0x42f2, 0x3fef, 0x42fe, 0x3fee, 0x430b, 0x3fed, 0x4317, 0x3fed,
+    0x4324, 0x3fec, 0x4330, 0x3fec, 0x433d, 0x3feb, 0x434a, 0x3fea,
+    0x4356, 0x3fea, 0x4363, 0x3fe9, 0x436f, 0x3fe8, 0x437c, 0x3fe8,
+    0x4388, 0x3fe7, 0x4395, 0x3fe6, 0x43a1, 0x3fe6, 0x43ae, 0x3fe5,
+    0x43bb, 0x3fe4, 0x43c7, 0x3fe3, 0x43d4, 0x3fe3, 0x43e0, 0x3fe2,
+    0x43ed, 0x3fe1, 0x43f9, 0x3fe0, 0x4406, 0x3fe0, 0x4412, 0x3fdf,
+    0x441f, 0x3fde, 0x442b, 0x3fdd, 0x4438, 0x3fdc, 0x4444, 0x3fdc,
+    0x4451, 0x3fdb, 0x445e, 0x3fda, 0x446a, 0x3fd9, 0x4477, 0x3fd8,
+    0x4483, 0x3fd7, 0x4490, 0x3fd6, 0x449c, 0x3fd5, 0x44a9, 0x3fd5,
+    0x44b5, 0x3fd4, 0x44c2, 0x3fd3, 0x44ce, 0x3fd2, 0x44db, 0x3fd1,
+    0x44e7, 0x3fd0, 0x44f4, 0x3fcf, 0x4500, 0x3fce, 0x450d, 0x3fcd,
+    0x451a, 0x3fcc, 0x4526, 0x3fcb, 0x4533, 0x3fca, 0x453f, 0x3fc9,
+    0x454c, 0x3fc8, 0x4558, 0x3fc7, 0x4565, 0x3fc6, 0x4571, 0x3fc5,
+    0x457e, 0x3fc4, 0x458a, 0x3fc3, 0x4597, 0x3fc1, 0x45a3, 0x3fc0,
+    0x45b0, 0x3fbf, 0x45bc, 0x3fbe, 0x45c9, 0x3fbd, 0x45d5, 0x3fbc,
+    0x45e2, 0x3fbb, 0x45ee, 0x3fb9, 0x45fb, 0x3fb8, 0x4607, 0x3fb7,
+    0x4614, 0x3fb6, 0x4620, 0x3fb5, 0x462d, 0x3fb4, 0x4639, 0x3fb2,
+    0x4646, 0x3fb1, 0x4652, 0x3fb0, 0x465f, 0x3faf, 0x466b, 0x3fad,
+    0x4678, 0x3fac, 0x4684, 0x3fab, 0x4691, 0x3faa, 0x469d, 0x3fa8,
+    0x46aa, 0x3fa7, 0x46b6, 0x3fa6, 0x46c3, 0x3fa4, 0x46cf, 0x3fa3,
+    0x46dc, 0x3fa2, 0x46e8, 0x3fa0, 0x46f5, 0x3f9f, 0x4701, 0x3f9e,
+    0x470e, 0x3f9c, 0x471a, 0x3f9b, 0x4727, 0x3f99, 0x4733, 0x3f98,
+    0x4740, 0x3f97, 0x474c, 0x3f95, 0x4759, 0x3f94, 0x4765, 0x3f92,
+    0x4772, 0x3f91, 0x477e, 0x3f8f, 0x478b, 0x3f8e, 0x4797, 0x3f8c,
+    0x47a4, 0x3f8b, 0x47b0, 0x3f89, 0x47bd, 0x3f88, 0x47c9, 0x3f86,
+    0x47d6, 0x3f85, 0x47e2, 0x3f83, 0x47ef, 0x3f82, 0x47fb, 0x3f80,
+    0x4807, 0x3f7f, 0x4814, 0x3f7d, 0x4820, 0x3f7b, 0x482d, 0x3f7a,
+    0x4839, 0x3f78, 0x4846, 0x3f77, 0x4852, 0x3f75, 0x485f, 0x3f73,
+    0x486b, 0x3f72, 0x4878, 0x3f70, 0x4884, 0x3f6e, 0x4891, 0x3f6d,
+    0x489d, 0x3f6b, 0x48a9, 0x3f69, 0x48b6, 0x3f68, 0x48c2, 0x3f66,
+    0x48cf, 0x3f64, 0x48db, 0x3f62, 0x48e8, 0x3f61, 0x48f4, 0x3f5f,
+    0x4901, 0x3f5d, 0x490d, 0x3f5b, 0x4919, 0x3f5a, 0x4926, 0x3f58,
+    0x4932, 0x3f56, 0x493f, 0x3f54, 0x494b, 0x3f52, 0x4958, 0x3f51,
+    0x4964, 0x3f4f, 0x4970, 0x3f4d, 0x497d, 0x3f4b, 0x4989, 0x3f49,
+    0x4996, 0x3f47, 0x49a2, 0x3f45, 0x49af, 0x3f43, 0x49bb, 0x3f42,
+    0x49c7, 0x3f40, 0x49d4, 0x3f3e, 0x49e0, 0x3f3c, 0x49ed, 0x3f3a,
+    0x49f9, 0x3f38, 0x4a06, 0x3f36, 0x4a12, 0x3f34, 0x4a1e, 0x3f32,
+    0x4a2b, 0x3f30, 0x4a37, 0x3f2e, 0x4a44, 0x3f2c, 0x4a50, 0x3f2a,
+    0x4a5c, 0x3f28, 0x4a69, 0x3f26, 0x4a75, 0x3f24, 0x4a82, 0x3f22,
+    0x4a8e, 0x3f20, 0x4a9a, 0x3f1e, 0x4aa7, 0x3f1c, 0x4ab3, 0x3f19,
+    0x4ac0, 0x3f17, 0x4acc, 0x3f15, 0x4ad8, 0x3f13, 0x4ae5, 0x3f11,
+    0x4af1, 0x3f0f, 0x4afd, 0x3f0d, 0x4b0a, 0x3f0a, 0x4b16, 0x3f08,
+    0x4b23, 0x3f06, 0x4b2f, 0x3f04, 0x4b3b, 0x3f02, 0x4b48, 0x3f00,
+    0x4b54, 0x3efd, 0x4b60, 0x3efb, 0x4b6d, 0x3ef9, 0x4b79, 0x3ef7,
+    0x4b85, 0x3ef4, 0x4b92, 0x3ef2, 0x4b9e, 0x3ef0, 0x4bab, 0x3eed,
+    0x4bb7, 0x3eeb, 0x4bc3, 0x3ee9, 0x4bd0, 0x3ee7, 0x4bdc, 0x3ee4,
+    0x4be8, 0x3ee2, 0x4bf5, 0x3ee0, 0x4c01, 0x3edd, 0x4c0d, 0x3edb,
+    0x4c1a, 0x3ed8, 0x4c26, 0x3ed6, 0x4c32, 0x3ed4, 0x4c3f, 0x3ed1,
+    0x4c4b, 0x3ecf, 0x4c57, 0x3ecc, 0x4c64, 0x3eca, 0x4c70, 0x3ec8,
+    0x4c7c, 0x3ec5, 0x4c89, 0x3ec3, 0x4c95, 0x3ec0, 0x4ca1, 0x3ebe,
+    0x4cae, 0x3ebb, 0x4cba, 0x3eb9, 0x4cc6, 0x3eb6, 0x4cd3, 0x3eb4,
+    0x4cdf, 0x3eb1, 0x4ceb, 0x3eaf, 0x4cf8, 0x3eac, 0x4d04, 0x3eaa,
+    0x4d10, 0x3ea7, 0x4d1c, 0x3ea5, 0x4d29, 0x3ea2, 0x4d35, 0x3e9f,
+    0x4d41, 0x3e9d, 0x4d4e, 0x3e9a, 0x4d5a, 0x3e98, 0x4d66, 0x3e95,
+    0x4d72, 0x3e92, 0x4d7f, 0x3e90, 0x4d8b, 0x3e8d, 0x4d97, 0x3e8a,
+    0x4da4, 0x3e88, 0x4db0, 0x3e85, 0x4dbc, 0x3e82, 0x4dc8, 0x3e80,
+    0x4dd5, 0x3e7d, 0x4de1, 0x3e7a, 0x4ded, 0x3e77, 0x4df9, 0x3e75,
+    0x4e06, 0x3e72, 0x4e12, 0x3e6f, 0x4e1e, 0x3e6c, 0x4e2b, 0x3e6a,
+    0x4e37, 0x3e67, 0x4e43, 0x3e64, 0x4e4f, 0x3e61, 0x4e5c, 0x3e5e,
+    0x4e68, 0x3e5c, 0x4e74, 0x3e59, 0x4e80, 0x3e56, 0x4e8c, 0x3e53,
+    0x4e99, 0x3e50, 0x4ea5, 0x3e4d, 0x4eb1, 0x3e4a, 0x4ebd, 0x3e48,
+    0x4eca, 0x3e45, 0x4ed6, 0x3e42, 0x4ee2, 0x3e3f, 0x4eee, 0x3e3c,
+    0x4efb, 0x3e39, 0x4f07, 0x3e36, 0x4f13, 0x3e33, 0x4f1f, 0x3e30,
+    0x4f2b, 0x3e2d, 0x4f38, 0x3e2a, 0x4f44, 0x3e27, 0x4f50, 0x3e24,
+    0x4f5c, 0x3e21, 0x4f68, 0x3e1e, 0x4f75, 0x3e1b, 0x4f81, 0x3e18,
+    0x4f8d, 0x3e15, 0x4f99, 0x3e12, 0x4fa5, 0x3e0f, 0x4fb2, 0x3e0c,
+    0x4fbe, 0x3e09, 0x4fca, 0x3e06, 0x4fd6, 0x3e03, 0x4fe2, 0x3dff,
+    0x4fee, 0x3dfc, 0x4ffb, 0x3df9, 0x5007, 0x3df6, 0x5013, 0x3df3,
+    0x501f, 0x3df0, 0x502b, 0x3ded, 0x5037, 0x3de9, 0x5044, 0x3de6,
+    0x5050, 0x3de3, 0x505c, 0x3de0, 0x5068, 0x3ddd, 0x5074, 0x3dd9,
+    0x5080, 0x3dd6, 0x508c, 0x3dd3, 0x5099, 0x3dd0, 0x50a5, 0x3dcc,
+    0x50b1, 0x3dc9, 0x50bd, 0x3dc6, 0x50c9, 0x3dc2, 0x50d5, 0x3dbf,
+    0x50e1, 0x3dbc, 0x50ed, 0x3db9, 0x50fa, 0x3db5, 0x5106, 0x3db2,
+    0x5112, 0x3daf, 0x511e, 0x3dab, 0x512a, 0x3da8, 0x5136, 0x3da4,
+    0x5142, 0x3da1, 0x514e, 0x3d9e, 0x515a, 0x3d9a, 0x5167, 0x3d97,
+    0x5173, 0x3d93, 0x517f, 0x3d90, 0x518b, 0x3d8d, 0x5197, 0x3d89,
+    0x51a3, 0x3d86, 0x51af, 0x3d82, 0x51bb, 0x3d7f, 0x51c7, 0x3d7b,
+    0x51d3, 0x3d78, 0x51df, 0x3d74, 0x51eb, 0x3d71, 0x51f7, 0x3d6d,
+    0x5204, 0x3d6a, 0x5210, 0x3d66, 0x521c, 0x3d63, 0x5228, 0x3d5f,
+    0x5234, 0x3d5b, 0x5240, 0x3d58, 0x524c, 0x3d54, 0x5258, 0x3d51,
+    0x5264, 0x3d4d, 0x5270, 0x3d49, 0x527c, 0x3d46, 0x5288, 0x3d42,
+    0x5294, 0x3d3f, 0x52a0, 0x3d3b, 0x52ac, 0x3d37, 0x52b8, 0x3d34,
+    0x52c4, 0x3d30, 0x52d0, 0x3d2c, 0x52dc, 0x3d28, 0x52e8, 0x3d25,
+    0x52f4, 0x3d21, 0x5300, 0x3d1d, 0x530c, 0x3d1a, 0x5318, 0x3d16,
+    0x5324, 0x3d12, 0x5330, 0x3d0e, 0x533c, 0x3d0b, 0x5348, 0x3d07,
+    0x5354, 0x3d03, 0x5360, 0x3cff, 0x536c, 0x3cfb, 0x5378, 0x3cf8,
+    0x5384, 0x3cf4, 0x5390, 0x3cf0, 0x539c, 0x3cec, 0x53a8, 0x3ce8,
+    0x53b4, 0x3ce4, 0x53c0, 0x3ce0, 0x53cc, 0x3cdd, 0x53d8, 0x3cd9,
+    0x53e4, 0x3cd5, 0x53f0, 0x3cd1, 0x53fb, 0x3ccd, 0x5407, 0x3cc9,
+    0x5413, 0x3cc5, 0x541f, 0x3cc1, 0x542b, 0x3cbd, 0x5437, 0x3cb9,
+    0x5443, 0x3cb5, 0x544f, 0x3cb1, 0x545b, 0x3cad, 0x5467, 0x3ca9,
+    0x5473, 0x3ca5, 0x547f, 0x3ca1, 0x548b, 0x3c9d, 0x5496, 0x3c99,
+    0x54a2, 0x3c95, 0x54ae, 0x3c91, 0x54ba, 0x3c8d, 0x54c6, 0x3c89,
+    0x54d2, 0x3c85, 0x54de, 0x3c81, 0x54ea, 0x3c7d, 0x54f6, 0x3c79,
+    0x5501, 0x3c74, 0x550d, 0x3c70, 0x5519, 0x3c6c, 0x5525, 0x3c68,
+    0x5531, 0x3c64, 0x553d, 0x3c60, 0x5549, 0x3c5b, 0x5554, 0x3c57,
+    0x5560, 0x3c53, 0x556c, 0x3c4f, 0x5578, 0x3c4b, 0x5584, 0x3c46,
+    0x5590, 0x3c42, 0x559b, 0x3c3e, 0x55a7, 0x3c3a, 0x55b3, 0x3c36,
+    0x55bf, 0x3c31, 0x55cb, 0x3c2d, 0x55d7, 0x3c29, 0x55e2, 0x3c24,
+    0x55ee, 0x3c20, 0x55fa, 0x3c1c, 0x5606, 0x3c17, 0x5612, 0x3c13,
+    0x561d, 0x3c0f, 0x5629, 0x3c0a, 0x5635, 0x3c06, 0x5641, 0x3c02,
+    0x564c, 0x3bfd, 0x5658, 0x3bf9, 0x5664, 0x3bf5, 0x5670, 0x3bf0,
+    0x567c, 0x3bec, 0x5687, 0x3be7, 0x5693, 0x3be3, 0x569f, 0x3bde,
+    0x56ab, 0x3bda, 0x56b6, 0x3bd6, 0x56c2, 0x3bd1, 0x56ce, 0x3bcd,
+    0x56da, 0x3bc8, 0x56e5, 0x3bc4, 0x56f1, 0x3bbf, 0x56fd, 0x3bbb,
+    0x5709, 0x3bb6, 0x5714, 0x3bb2, 0x5720, 0x3bad, 0x572c, 0x3ba9,
+    0x5737, 0x3ba4, 0x5743, 0x3b9f, 0x574f, 0x3b9b, 0x575b, 0x3b96,
+    0x5766, 0x3b92, 0x5772, 0x3b8d, 0x577e, 0x3b88, 0x5789, 0x3b84,
+    0x5795, 0x3b7f, 0x57a1, 0x3b7b, 0x57ac, 0x3b76, 0x57b8, 0x3b71,
+    0x57c4, 0x3b6d, 0x57cf, 0x3b68, 0x57db, 0x3b63, 0x57e7, 0x3b5f,
+    0x57f2, 0x3b5a, 0x57fe, 0x3b55, 0x580a, 0x3b50, 0x5815, 0x3b4c,
+    0x5821, 0x3b47, 0x582d, 0x3b42, 0x5838, 0x3b3e, 0x5844, 0x3b39,
+    0x584f, 0x3b34, 0x585b, 0x3b2f, 0x5867, 0x3b2a, 0x5872, 0x3b26,
+    0x587e, 0x3b21, 0x5889, 0x3b1c, 0x5895, 0x3b17, 0x58a1, 0x3b12,
+    0x58ac, 0x3b0e, 0x58b8, 0x3b09, 0x58c3, 0x3b04, 0x58cf, 0x3aff,
+    0x58db, 0x3afa, 0x58e6, 0x3af5, 0x58f2, 0x3af0, 0x58fd, 0x3aeb,
+    0x5909, 0x3ae6, 0x5914, 0x3ae2, 0x5920, 0x3add, 0x592c, 0x3ad8,
+    0x5937, 0x3ad3, 0x5943, 0x3ace, 0x594e, 0x3ac9, 0x595a, 0x3ac4,
+    0x5965, 0x3abf, 0x5971, 0x3aba, 0x597c, 0x3ab5, 0x5988, 0x3ab0,
+    0x5993, 0x3aab, 0x599f, 0x3aa6, 0x59aa, 0x3aa1, 0x59b6, 0x3a9c,
+    0x59c1, 0x3a97, 0x59cd, 0x3a92, 0x59d8, 0x3a8d, 0x59e4, 0x3a88,
+    0x59ef, 0x3a82, 0x59fb, 0x3a7d, 0x5a06, 0x3a78, 0x5a12, 0x3a73,
+    0x5a1d, 0x3a6e, 0x5a29, 0x3a69, 0x5a34, 0x3a64, 0x5a40, 0x3a5f,
+    0x5a4b, 0x3a59, 0x5a57, 0x3a54, 0x5a62, 0x3a4f, 0x5a6e, 0x3a4a,
+    0x5a79, 0x3a45, 0x5a84, 0x3a3f, 0x5a90, 0x3a3a, 0x5a9b, 0x3a35,
+    0x5aa7, 0x3a30, 0x5ab2, 0x3a2b, 0x5abe, 0x3a25, 0x5ac9, 0x3a20,
+    0x5ad4, 0x3a1b, 0x5ae0, 0x3a16, 0x5aeb, 0x3a10, 0x5af7, 0x3a0b,
+    0x5b02, 0x3a06, 0x5b0d, 0x3a00, 0x5b19, 0x39fb, 0x5b24, 0x39f6,
+    0x5b30, 0x39f0, 0x5b3b, 0x39eb, 0x5b46, 0x39e6, 0x5b52, 0x39e0,
+    0x5b5d, 0x39db, 0x5b68, 0x39d6, 0x5b74, 0x39d0, 0x5b7f, 0x39cb,
+    0x5b8a, 0x39c5, 0x5b96, 0x39c0, 0x5ba1, 0x39bb, 0x5bac, 0x39b5,
+    0x5bb8, 0x39b0, 0x5bc3, 0x39aa, 0x5bce, 0x39a5, 0x5bda, 0x399f,
+    0x5be5, 0x399a, 0x5bf0, 0x3994, 0x5bfc, 0x398f, 0x5c07, 0x3989,
+    0x5c12, 0x3984, 0x5c1e, 0x397e, 0x5c29, 0x3979, 0x5c34, 0x3973,
+    0x5c3f, 0x396e, 0x5c4b, 0x3968, 0x5c56, 0x3963, 0x5c61, 0x395d,
+    0x5c6c, 0x3958, 0x5c78, 0x3952, 0x5c83, 0x394c, 0x5c8e, 0x3947,
+    0x5c99, 0x3941, 0x5ca5, 0x393b, 0x5cb0, 0x3936, 0x5cbb, 0x3930,
+    0x5cc6, 0x392b, 0x5cd2, 0x3925, 0x5cdd, 0x391f, 0x5ce8, 0x391a,
+    0x5cf3, 0x3914, 0x5cff, 0x390e, 0x5d0a, 0x3909, 0x5d15, 0x3903,
+    0x5d20, 0x38fd, 0x5d2b, 0x38f7, 0x5d36, 0x38f2, 0x5d42, 0x38ec,
+    0x5d4d, 0x38e6, 0x5d58, 0x38e0, 0x5d63, 0x38db, 0x5d6e, 0x38d5,
+    0x5d79, 0x38cf, 0x5d85, 0x38c9, 0x5d90, 0x38c3, 0x5d9b, 0x38be,
+    0x5da6, 0x38b8, 0x5db1, 0x38b2, 0x5dbc, 0x38ac, 0x5dc7, 0x38a6,
+    0x5dd3, 0x38a1, 0x5dde, 0x389b, 0x5de9, 0x3895, 0x5df4, 0x388f,
+    0x5dff, 0x3889, 0x5e0a, 0x3883, 0x5e15, 0x387d, 0x5e20, 0x3877,
+    0x5e2b, 0x3871, 0x5e36, 0x386b, 0x5e42, 0x3866, 0x5e4d, 0x3860,
+    0x5e58, 0x385a, 0x5e63, 0x3854, 0x5e6e, 0x384e, 0x5e79, 0x3848,
+    0x5e84, 0x3842, 0x5e8f, 0x383c, 0x5e9a, 0x3836, 0x5ea5, 0x3830,
+    0x5eb0, 0x382a, 0x5ebb, 0x3824, 0x5ec6, 0x381e, 0x5ed1, 0x3818,
+    0x5edc, 0x3812, 0x5ee7, 0x380b, 0x5ef2, 0x3805, 0x5efd, 0x37ff,
+    0x5f08, 0x37f9, 0x5f13, 0x37f3, 0x5f1e, 0x37ed, 0x5f29, 0x37e7,
+    0x5f34, 0x37e1, 0x5f3f, 0x37db, 0x5f4a, 0x37d5, 0x5f55, 0x37ce,
+    0x5f60, 0x37c8, 0x5f6b, 0x37c2, 0x5f76, 0x37bc, 0x5f81, 0x37b6,
+    0x5f8c, 0x37b0, 0x5f97, 0x37a9, 0x5fa2, 0x37a3, 0x5fac, 0x379d,
+    0x5fb7, 0x3797, 0x5fc2, 0x3790, 0x5fcd, 0x378a, 0x5fd8, 0x3784,
+    0x5fe3, 0x377e, 0x5fee, 0x3777, 0x5ff9, 0x3771, 0x6004, 0x376b,
+    0x600f, 0x3765, 0x6019, 0x375e, 0x6024, 0x3758, 0x602f, 0x3752,
+    0x603a, 0x374b, 0x6045, 0x3745, 0x6050, 0x373f, 0x605b, 0x3738,
+    0x6065, 0x3732, 0x6070, 0x372c, 0x607b, 0x3725, 0x6086, 0x371f,
+    0x6091, 0x3718, 0x609b, 0x3712, 0x60a6, 0x370c, 0x60b1, 0x3705,
+    0x60bc, 0x36ff, 0x60c7, 0x36f8, 0x60d1, 0x36f2, 0x60dc, 0x36eb,
+    0x60e7, 0x36e5, 0x60f2, 0x36df, 0x60fd, 0x36d8, 0x6107, 0x36d2,
+    0x6112, 0x36cb, 0x611d, 0x36c5, 0x6128, 0x36be, 0x6132, 0x36b8,
+    0x613d, 0x36b1, 0x6148, 0x36ab, 0x6153, 0x36a4, 0x615d, 0x369d,
+    0x6168, 0x3697, 0x6173, 0x3690, 0x617d, 0x368a, 0x6188, 0x3683,
+    0x6193, 0x367d, 0x619e, 0x3676, 0x61a8, 0x366f, 0x61b3, 0x3669,
+    0x61be, 0x3662, 0x61c8, 0x365c, 0x61d3, 0x3655, 0x61de, 0x364e,
+    0x61e8, 0x3648, 0x61f3, 0x3641, 0x61fe, 0x363a, 0x6208, 0x3634,
+    0x6213, 0x362d, 0x621e, 0x3626, 0x6228, 0x3620, 0x6233, 0x3619,
+    0x623d, 0x3612, 0x6248, 0x360b, 0x6253, 0x3605, 0x625d, 0x35fe,
+    0x6268, 0x35f7, 0x6272, 0x35f0, 0x627d, 0x35ea, 0x6288, 0x35e3,
+    0x6292, 0x35dc, 0x629d, 0x35d5, 0x62a7, 0x35ce, 0x62b2, 0x35c8,
+    0x62bc, 0x35c1, 0x62c7, 0x35ba, 0x62d2, 0x35b3, 0x62dc, 0x35ac,
+    0x62e7, 0x35a5, 0x62f1, 0x359f, 0x62fc, 0x3598, 0x6306, 0x3591,
+    0x6311, 0x358a, 0x631b, 0x3583, 0x6326, 0x357c, 0x6330, 0x3575,
+    0x633b, 0x356e, 0x6345, 0x3567, 0x6350, 0x3561, 0x635a, 0x355a,
+    0x6365, 0x3553, 0x636f, 0x354c, 0x637a, 0x3545, 0x6384, 0x353e,
+    0x638e, 0x3537, 0x6399, 0x3530, 0x63a3, 0x3529, 0x63ae, 0x3522,
+    0x63b8, 0x351b, 0x63c3, 0x3514, 0x63cd, 0x350d, 0x63d7, 0x3506,
+    0x63e2, 0x34ff, 0x63ec, 0x34f8, 0x63f7, 0x34f1, 0x6401, 0x34ea,
+    0x640b, 0x34e2, 0x6416, 0x34db, 0x6420, 0x34d4, 0x642b, 0x34cd,
+    0x6435, 0x34c6, 0x643f, 0x34bf, 0x644a, 0x34b8, 0x6454, 0x34b1,
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+    0x796e, 0x1c3f, 0x7973, 0x1c34, 0x7979, 0x1c29, 0x797e, 0x1c1e,
+    0x7984, 0x1c12, 0x7989, 0x1c07, 0x798f, 0x1bfc, 0x7994, 0x1bf0,
+    0x799a, 0x1be5, 0x799f, 0x1bda, 0x79a5, 0x1bce, 0x79aa, 0x1bc3,
+    0x79b0, 0x1bb8, 0x79b5, 0x1bac, 0x79bb, 0x1ba1, 0x79c0, 0x1b96,
+    0x79c5, 0x1b8a, 0x79cb, 0x1b7f, 0x79d0, 0x1b74, 0x79d6, 0x1b68,
+    0x79db, 0x1b5d, 0x79e0, 0x1b52, 0x79e6, 0x1b46, 0x79eb, 0x1b3b,
+    0x79f0, 0x1b30, 0x79f6, 0x1b24, 0x79fb, 0x1b19, 0x7a00, 0x1b0d,
+    0x7a06, 0x1b02, 0x7a0b, 0x1af7, 0x7a10, 0x1aeb, 0x7a16, 0x1ae0,
+    0x7a1b, 0x1ad4, 0x7a20, 0x1ac9, 0x7a25, 0x1abe, 0x7a2b, 0x1ab2,
+    0x7a30, 0x1aa7, 0x7a35, 0x1a9b, 0x7a3a, 0x1a90, 0x7a3f, 0x1a84,
+    0x7a45, 0x1a79, 0x7a4a, 0x1a6e, 0x7a4f, 0x1a62, 0x7a54, 0x1a57,
+    0x7a59, 0x1a4b, 0x7a5f, 0x1a40, 0x7a64, 0x1a34, 0x7a69, 0x1a29,
+    0x7a6e, 0x1a1d, 0x7a73, 0x1a12, 0x7a78, 0x1a06, 0x7a7d, 0x19fb,
+    0x7a82, 0x19ef, 0x7a88, 0x19e4, 0x7a8d, 0x19d8, 0x7a92, 0x19cd,
+    0x7a97, 0x19c1, 0x7a9c, 0x19b6, 0x7aa1, 0x19aa, 0x7aa6, 0x199f,
+    0x7aab, 0x1993, 0x7ab0, 0x1988, 0x7ab5, 0x197c, 0x7aba, 0x1971,
+    0x7abf, 0x1965, 0x7ac4, 0x195a, 0x7ac9, 0x194e, 0x7ace, 0x1943,
+    0x7ad3, 0x1937, 0x7ad8, 0x192c, 0x7add, 0x1920, 0x7ae2, 0x1914,
+    0x7ae6, 0x1909, 0x7aeb, 0x18fd, 0x7af0, 0x18f2, 0x7af5, 0x18e6,
+    0x7afa, 0x18db, 0x7aff, 0x18cf, 0x7b04, 0x18c3, 0x7b09, 0x18b8,
+    0x7b0e, 0x18ac, 0x7b12, 0x18a1, 0x7b17, 0x1895, 0x7b1c, 0x1889,
+    0x7b21, 0x187e, 0x7b26, 0x1872, 0x7b2a, 0x1867, 0x7b2f, 0x185b,
+    0x7b34, 0x184f, 0x7b39, 0x1844, 0x7b3e, 0x1838, 0x7b42, 0x182d,
+    0x7b47, 0x1821, 0x7b4c, 0x1815, 0x7b50, 0x180a, 0x7b55, 0x17fe,
+    0x7b5a, 0x17f2, 0x7b5f, 0x17e7, 0x7b63, 0x17db, 0x7b68, 0x17cf,
+    0x7b6d, 0x17c4, 0x7b71, 0x17b8, 0x7b76, 0x17ac, 0x7b7b, 0x17a1,
+    0x7b7f, 0x1795, 0x7b84, 0x1789, 0x7b88, 0x177e, 0x7b8d, 0x1772,
+    0x7b92, 0x1766, 0x7b96, 0x175b, 0x7b9b, 0x174f, 0x7b9f, 0x1743,
+    0x7ba4, 0x1737, 0x7ba9, 0x172c, 0x7bad, 0x1720, 0x7bb2, 0x1714,
+    0x7bb6, 0x1709, 0x7bbb, 0x16fd, 0x7bbf, 0x16f1, 0x7bc4, 0x16e5,
+    0x7bc8, 0x16da, 0x7bcd, 0x16ce, 0x7bd1, 0x16c2, 0x7bd6, 0x16b6,
+    0x7bda, 0x16ab, 0x7bde, 0x169f, 0x7be3, 0x1693, 0x7be7, 0x1687,
+    0x7bec, 0x167c, 0x7bf0, 0x1670, 0x7bf5, 0x1664, 0x7bf9, 0x1658,
+    0x7bfd, 0x164c, 0x7c02, 0x1641, 0x7c06, 0x1635, 0x7c0a, 0x1629,
+    0x7c0f, 0x161d, 0x7c13, 0x1612, 0x7c17, 0x1606, 0x7c1c, 0x15fa,
+    0x7c20, 0x15ee, 0x7c24, 0x15e2, 0x7c29, 0x15d7, 0x7c2d, 0x15cb,
+    0x7c31, 0x15bf, 0x7c36, 0x15b3, 0x7c3a, 0x15a7, 0x7c3e, 0x159b,
+    0x7c42, 0x1590, 0x7c46, 0x1584, 0x7c4b, 0x1578, 0x7c4f, 0x156c,
+    0x7c53, 0x1560, 0x7c57, 0x1554, 0x7c5b, 0x1549, 0x7c60, 0x153d,
+    0x7c64, 0x1531, 0x7c68, 0x1525, 0x7c6c, 0x1519, 0x7c70, 0x150d,
+    0x7c74, 0x1501, 0x7c79, 0x14f6, 0x7c7d, 0x14ea, 0x7c81, 0x14de,
+    0x7c85, 0x14d2, 0x7c89, 0x14c6, 0x7c8d, 0x14ba, 0x7c91, 0x14ae,
+    0x7c95, 0x14a2, 0x7c99, 0x1496, 0x7c9d, 0x148b, 0x7ca1, 0x147f,
+    0x7ca5, 0x1473, 0x7ca9, 0x1467, 0x7cad, 0x145b, 0x7cb1, 0x144f,
+    0x7cb5, 0x1443, 0x7cb9, 0x1437, 0x7cbd, 0x142b, 0x7cc1, 0x141f,
+    0x7cc5, 0x1413, 0x7cc9, 0x1407, 0x7ccd, 0x13fb, 0x7cd1, 0x13f0,
+    0x7cd5, 0x13e4, 0x7cd9, 0x13d8, 0x7cdd, 0x13cc, 0x7ce0, 0x13c0,
+    0x7ce4, 0x13b4, 0x7ce8, 0x13a8, 0x7cec, 0x139c, 0x7cf0, 0x1390,
+    0x7cf4, 0x1384, 0x7cf8, 0x1378, 0x7cfb, 0x136c, 0x7cff, 0x1360,
+    0x7d03, 0x1354, 0x7d07, 0x1348, 0x7d0b, 0x133c, 0x7d0e, 0x1330,
+    0x7d12, 0x1324, 0x7d16, 0x1318, 0x7d1a, 0x130c, 0x7d1d, 0x1300,
+    0x7d21, 0x12f4, 0x7d25, 0x12e8, 0x7d28, 0x12dc, 0x7d2c, 0x12d0,
+    0x7d30, 0x12c4, 0x7d34, 0x12b8, 0x7d37, 0x12ac, 0x7d3b, 0x12a0,
+    0x7d3f, 0x1294, 0x7d42, 0x1288, 0x7d46, 0x127c, 0x7d49, 0x1270,
+    0x7d4d, 0x1264, 0x7d51, 0x1258, 0x7d54, 0x124c, 0x7d58, 0x1240,
+    0x7d5b, 0x1234, 0x7d5f, 0x1228, 0x7d63, 0x121c, 0x7d66, 0x1210,
+    0x7d6a, 0x1204, 0x7d6d, 0x11f7, 0x7d71, 0x11eb, 0x7d74, 0x11df,
+    0x7d78, 0x11d3, 0x7d7b, 0x11c7, 0x7d7f, 0x11bb, 0x7d82, 0x11af,
+    0x7d86, 0x11a3, 0x7d89, 0x1197, 0x7d8d, 0x118b, 0x7d90, 0x117f,
+    0x7d93, 0x1173, 0x7d97, 0x1167, 0x7d9a, 0x115a, 0x7d9e, 0x114e,
+    0x7da1, 0x1142, 0x7da4, 0x1136, 0x7da8, 0x112a, 0x7dab, 0x111e,
+    0x7daf, 0x1112, 0x7db2, 0x1106, 0x7db5, 0x10fa, 0x7db9, 0x10ed,
+    0x7dbc, 0x10e1, 0x7dbf, 0x10d5, 0x7dc2, 0x10c9, 0x7dc6, 0x10bd,
+    0x7dc9, 0x10b1, 0x7dcc, 0x10a5, 0x7dd0, 0x1099, 0x7dd3, 0x108c,
+    0x7dd6, 0x1080, 0x7dd9, 0x1074, 0x7ddd, 0x1068, 0x7de0, 0x105c,
+    0x7de3, 0x1050, 0x7de6, 0x1044, 0x7de9, 0x1037, 0x7ded, 0x102b,
+    0x7df0, 0x101f, 0x7df3, 0x1013, 0x7df6, 0x1007, 0x7df9, 0xffb,
+    0x7dfc, 0xfee, 0x7dff, 0xfe2, 0x7e03, 0xfd6, 0x7e06, 0xfca,
+    0x7e09, 0xfbe, 0x7e0c, 0xfb2, 0x7e0f, 0xfa5, 0x7e12, 0xf99,
+    0x7e15, 0xf8d, 0x7e18, 0xf81, 0x7e1b, 0xf75, 0x7e1e, 0xf68,
+    0x7e21, 0xf5c, 0x7e24, 0xf50, 0x7e27, 0xf44, 0x7e2a, 0xf38,
+    0x7e2d, 0xf2b, 0x7e30, 0xf1f, 0x7e33, 0xf13, 0x7e36, 0xf07,
+    0x7e39, 0xefb, 0x7e3c, 0xeee, 0x7e3f, 0xee2, 0x7e42, 0xed6,
+    0x7e45, 0xeca, 0x7e48, 0xebd, 0x7e4a, 0xeb1, 0x7e4d, 0xea5,
+    0x7e50, 0xe99, 0x7e53, 0xe8c, 0x7e56, 0xe80, 0x7e59, 0xe74,
+    0x7e5c, 0xe68, 0x7e5e, 0xe5c, 0x7e61, 0xe4f, 0x7e64, 0xe43,
+    0x7e67, 0xe37, 0x7e6a, 0xe2b, 0x7e6c, 0xe1e, 0x7e6f, 0xe12,
+    0x7e72, 0xe06, 0x7e75, 0xdf9, 0x7e77, 0xded, 0x7e7a, 0xde1,
+    0x7e7d, 0xdd5, 0x7e80, 0xdc8, 0x7e82, 0xdbc, 0x7e85, 0xdb0,
+    0x7e88, 0xda4, 0x7e8a, 0xd97, 0x7e8d, 0xd8b, 0x7e90, 0xd7f,
+    0x7e92, 0xd72, 0x7e95, 0xd66, 0x7e98, 0xd5a, 0x7e9a, 0xd4e,
+    0x7e9d, 0xd41, 0x7e9f, 0xd35, 0x7ea2, 0xd29, 0x7ea5, 0xd1c,
+    0x7ea7, 0xd10, 0x7eaa, 0xd04, 0x7eac, 0xcf8, 0x7eaf, 0xceb,
+    0x7eb1, 0xcdf, 0x7eb4, 0xcd3, 0x7eb6, 0xcc6, 0x7eb9, 0xcba,
+    0x7ebb, 0xcae, 0x7ebe, 0xca1, 0x7ec0, 0xc95, 0x7ec3, 0xc89,
+    0x7ec5, 0xc7c, 0x7ec8, 0xc70, 0x7eca, 0xc64, 0x7ecc, 0xc57,
+    0x7ecf, 0xc4b, 0x7ed1, 0xc3f, 0x7ed4, 0xc32, 0x7ed6, 0xc26,
+    0x7ed8, 0xc1a, 0x7edb, 0xc0d, 0x7edd, 0xc01, 0x7ee0, 0xbf5,
+    0x7ee2, 0xbe8, 0x7ee4, 0xbdc, 0x7ee7, 0xbd0, 0x7ee9, 0xbc3,
+    0x7eeb, 0xbb7, 0x7eed, 0xbab, 0x7ef0, 0xb9e, 0x7ef2, 0xb92,
+    0x7ef4, 0xb85, 0x7ef7, 0xb79, 0x7ef9, 0xb6d, 0x7efb, 0xb60,
+    0x7efd, 0xb54, 0x7f00, 0xb48, 0x7f02, 0xb3b, 0x7f04, 0xb2f,
+    0x7f06, 0xb23, 0x7f08, 0xb16, 0x7f0a, 0xb0a, 0x7f0d, 0xafd,
+    0x7f0f, 0xaf1, 0x7f11, 0xae5, 0x7f13, 0xad8, 0x7f15, 0xacc,
+    0x7f17, 0xac0, 0x7f19, 0xab3, 0x7f1c, 0xaa7, 0x7f1e, 0xa9a,
+    0x7f20, 0xa8e, 0x7f22, 0xa82, 0x7f24, 0xa75, 0x7f26, 0xa69,
+    0x7f28, 0xa5c, 0x7f2a, 0xa50, 0x7f2c, 0xa44, 0x7f2e, 0xa37,
+    0x7f30, 0xa2b, 0x7f32, 0xa1e, 0x7f34, 0xa12, 0x7f36, 0xa06,
+    0x7f38, 0x9f9, 0x7f3a, 0x9ed, 0x7f3c, 0x9e0, 0x7f3e, 0x9d4,
+    0x7f40, 0x9c7, 0x7f42, 0x9bb, 0x7f43, 0x9af, 0x7f45, 0x9a2,
+    0x7f47, 0x996, 0x7f49, 0x989, 0x7f4b, 0x97d, 0x7f4d, 0x970,
+    0x7f4f, 0x964, 0x7f51, 0x958, 0x7f52, 0x94b, 0x7f54, 0x93f,
+    0x7f56, 0x932, 0x7f58, 0x926, 0x7f5a, 0x919, 0x7f5b, 0x90d,
+    0x7f5d, 0x901, 0x7f5f, 0x8f4, 0x7f61, 0x8e8, 0x7f62, 0x8db,
+    0x7f64, 0x8cf, 0x7f66, 0x8c2, 0x7f68, 0x8b6, 0x7f69, 0x8a9,
+    0x7f6b, 0x89d, 0x7f6d, 0x891, 0x7f6e, 0x884, 0x7f70, 0x878,
+    0x7f72, 0x86b, 0x7f73, 0x85f, 0x7f75, 0x852, 0x7f77, 0x846,
+    0x7f78, 0x839, 0x7f7a, 0x82d, 0x7f7b, 0x820, 0x7f7d, 0x814,
+    0x7f7f, 0x807, 0x7f80, 0x7fb, 0x7f82, 0x7ef, 0x7f83, 0x7e2,
+    0x7f85, 0x7d6, 0x7f86, 0x7c9, 0x7f88, 0x7bd, 0x7f89, 0x7b0,
+    0x7f8b, 0x7a4, 0x7f8c, 0x797, 0x7f8e, 0x78b, 0x7f8f, 0x77e,
+    0x7f91, 0x772, 0x7f92, 0x765, 0x7f94, 0x759, 0x7f95, 0x74c,
+    0x7f97, 0x740, 0x7f98, 0x733, 0x7f99, 0x727, 0x7f9b, 0x71a,
+    0x7f9c, 0x70e, 0x7f9e, 0x701, 0x7f9f, 0x6f5, 0x7fa0, 0x6e8,
+    0x7fa2, 0x6dc, 0x7fa3, 0x6cf, 0x7fa4, 0x6c3, 0x7fa6, 0x6b6,
+    0x7fa7, 0x6aa, 0x7fa8, 0x69d, 0x7faa, 0x691, 0x7fab, 0x684,
+    0x7fac, 0x678, 0x7fad, 0x66b, 0x7faf, 0x65f, 0x7fb0, 0x652,
+    0x7fb1, 0x646, 0x7fb2, 0x639, 0x7fb4, 0x62d, 0x7fb5, 0x620,
+    0x7fb6, 0x614, 0x7fb7, 0x607, 0x7fb8, 0x5fb, 0x7fb9, 0x5ee,
+    0x7fbb, 0x5e2, 0x7fbc, 0x5d5, 0x7fbd, 0x5c9, 0x7fbe, 0x5bc,
+    0x7fbf, 0x5b0, 0x7fc0, 0x5a3, 0x7fc1, 0x597, 0x7fc3, 0x58a,
+    0x7fc4, 0x57e, 0x7fc5, 0x571, 0x7fc6, 0x565, 0x7fc7, 0x558,
+    0x7fc8, 0x54c, 0x7fc9, 0x53f, 0x7fca, 0x533, 0x7fcb, 0x526,
+    0x7fcc, 0x51a, 0x7fcd, 0x50d, 0x7fce, 0x500, 0x7fcf, 0x4f4,
+    0x7fd0, 0x4e7, 0x7fd1, 0x4db, 0x7fd2, 0x4ce, 0x7fd3, 0x4c2,
+    0x7fd4, 0x4b5, 0x7fd5, 0x4a9, 0x7fd5, 0x49c, 0x7fd6, 0x490,
+    0x7fd7, 0x483, 0x7fd8, 0x477, 0x7fd9, 0x46a, 0x7fda, 0x45e,
+    0x7fdb, 0x451, 0x7fdc, 0x444, 0x7fdc, 0x438, 0x7fdd, 0x42b,
+    0x7fde, 0x41f, 0x7fdf, 0x412, 0x7fe0, 0x406, 0x7fe0, 0x3f9,
+    0x7fe1, 0x3ed, 0x7fe2, 0x3e0, 0x7fe3, 0x3d4, 0x7fe3, 0x3c7,
+    0x7fe4, 0x3bb, 0x7fe5, 0x3ae, 0x7fe6, 0x3a1, 0x7fe6, 0x395,
+    0x7fe7, 0x388, 0x7fe8, 0x37c, 0x7fe8, 0x36f, 0x7fe9, 0x363,
+    0x7fea, 0x356, 0x7fea, 0x34a, 0x7feb, 0x33d, 0x7fec, 0x330,
+    0x7fec, 0x324, 0x7fed, 0x317, 0x7fed, 0x30b, 0x7fee, 0x2fe,
+    0x7fef, 0x2f2, 0x7fef, 0x2e5, 0x7ff0, 0x2d9, 0x7ff0, 0x2cc,
+    0x7ff1, 0x2c0, 0x7ff1, 0x2b3, 0x7ff2, 0x2a6, 0x7ff2, 0x29a,
+    0x7ff3, 0x28d, 0x7ff3, 0x281, 0x7ff4, 0x274, 0x7ff4, 0x268,
+    0x7ff5, 0x25b, 0x7ff5, 0x24e, 0x7ff6, 0x242, 0x7ff6, 0x235,
+    0x7ff7, 0x229, 0x7ff7, 0x21c, 0x7ff7, 0x210, 0x7ff8, 0x203,
+    0x7ff8, 0x1f7, 0x7ff9, 0x1ea, 0x7ff9, 0x1dd, 0x7ff9, 0x1d1,
+    0x7ffa, 0x1c4, 0x7ffa, 0x1b8, 0x7ffa, 0x1ab, 0x7ffb, 0x19f,
+    0x7ffb, 0x192, 0x7ffb, 0x186, 0x7ffc, 0x179, 0x7ffc, 0x16c,
+    0x7ffc, 0x160, 0x7ffc, 0x153, 0x7ffd, 0x147, 0x7ffd, 0x13a,
+    0x7ffd, 0x12e, 0x7ffd, 0x121, 0x7ffe, 0x114, 0x7ffe, 0x108,
+    0x7ffe, 0xfb, 0x7ffe, 0xef, 0x7ffe, 0xe2, 0x7fff, 0xd6,
+    0x7fff, 0xc9, 0x7fff, 0xbc, 0x7fff, 0xb0, 0x7fff, 0xa3,
+    0x7fff, 0x97, 0x7fff, 0x8a, 0x7fff, 0x7e, 0x7fff, 0x71,
+    0x7fff, 0x65, 0x7fff, 0x58, 0x7fff, 0x4b, 0x7fff, 0x3f,
+    0x7fff, 0x32, 0x7fff, 0x26, 0x7fff, 0x19, 0x7fff, 0xd,
+    0x7fff, 0x0, 0x7fff, 0xfff3, 0x7fff, 0xffe7, 0x7fff, 0xffda,
+    0x7fff, 0xffce, 0x7fff, 0xffc1, 0x7fff, 0xffb5, 0x7fff, 0xffa8,
+    0x7fff, 0xff9b, 0x7fff, 0xff8f, 0x7fff, 0xff82, 0x7fff, 0xff76,
+    0x7fff, 0xff69, 0x7fff, 0xff5d, 0x7fff, 0xff50, 0x7fff, 0xff44,
+    0x7fff, 0xff37, 0x7fff, 0xff2a, 0x7ffe, 0xff1e, 0x7ffe, 0xff11,
+    0x7ffe, 0xff05, 0x7ffe, 0xfef8, 0x7ffe, 0xfeec, 0x7ffd, 0xfedf,
+    0x7ffd, 0xfed2, 0x7ffd, 0xfec6, 0x7ffd, 0xfeb9, 0x7ffc, 0xfead,
+    0x7ffc, 0xfea0, 0x7ffc, 0xfe94, 0x7ffc, 0xfe87, 0x7ffb, 0xfe7a,
+    0x7ffb, 0xfe6e, 0x7ffb, 0xfe61, 0x7ffa, 0xfe55, 0x7ffa, 0xfe48,
+    0x7ffa, 0xfe3c, 0x7ff9, 0xfe2f, 0x7ff9, 0xfe23, 0x7ff9, 0xfe16,
+    0x7ff8, 0xfe09, 0x7ff8, 0xfdfd, 0x7ff7, 0xfdf0, 0x7ff7, 0xfde4,
+    0x7ff7, 0xfdd7, 0x7ff6, 0xfdcb, 0x7ff6, 0xfdbe, 0x7ff5, 0xfdb2,
+    0x7ff5, 0xfda5, 0x7ff4, 0xfd98, 0x7ff4, 0xfd8c, 0x7ff3, 0xfd7f,
+    0x7ff3, 0xfd73, 0x7ff2, 0xfd66, 0x7ff2, 0xfd5a, 0x7ff1, 0xfd4d,
+    0x7ff1, 0xfd40, 0x7ff0, 0xfd34, 0x7ff0, 0xfd27, 0x7fef, 0xfd1b,
+    0x7fef, 0xfd0e, 0x7fee, 0xfd02, 0x7fed, 0xfcf5, 0x7fed, 0xfce9,
+    0x7fec, 0xfcdc, 0x7fec, 0xfcd0, 0x7feb, 0xfcc3, 0x7fea, 0xfcb6,
+    0x7fea, 0xfcaa, 0x7fe9, 0xfc9d, 0x7fe8, 0xfc91, 0x7fe8, 0xfc84,
+    0x7fe7, 0xfc78, 0x7fe6, 0xfc6b, 0x7fe6, 0xfc5f, 0x7fe5, 0xfc52,
+    0x7fe4, 0xfc45, 0x7fe3, 0xfc39, 0x7fe3, 0xfc2c, 0x7fe2, 0xfc20,
+    0x7fe1, 0xfc13, 0x7fe0, 0xfc07, 0x7fe0, 0xfbfa, 0x7fdf, 0xfbee,
+    0x7fde, 0xfbe1, 0x7fdd, 0xfbd5, 0x7fdc, 0xfbc8, 0x7fdc, 0xfbbc,
+    0x7fdb, 0xfbaf, 0x7fda, 0xfba2, 0x7fd9, 0xfb96, 0x7fd8, 0xfb89,
+    0x7fd7, 0xfb7d, 0x7fd6, 0xfb70, 0x7fd5, 0xfb64, 0x7fd5, 0xfb57,
+    0x7fd4, 0xfb4b, 0x7fd3, 0xfb3e, 0x7fd2, 0xfb32, 0x7fd1, 0xfb25,
+    0x7fd0, 0xfb19, 0x7fcf, 0xfb0c, 0x7fce, 0xfb00, 0x7fcd, 0xfaf3,
+    0x7fcc, 0xfae6, 0x7fcb, 0xfada, 0x7fca, 0xfacd, 0x7fc9, 0xfac1,
+    0x7fc8, 0xfab4, 0x7fc7, 0xfaa8, 0x7fc6, 0xfa9b, 0x7fc5, 0xfa8f,
+    0x7fc4, 0xfa82, 0x7fc3, 0xfa76, 0x7fc1, 0xfa69, 0x7fc0, 0xfa5d,
+    0x7fbf, 0xfa50, 0x7fbe, 0xfa44, 0x7fbd, 0xfa37, 0x7fbc, 0xfa2b,
+    0x7fbb, 0xfa1e, 0x7fb9, 0xfa12, 0x7fb8, 0xfa05, 0x7fb7, 0xf9f9,
+    0x7fb6, 0xf9ec, 0x7fb5, 0xf9e0, 0x7fb4, 0xf9d3, 0x7fb2, 0xf9c7,
+    0x7fb1, 0xf9ba, 0x7fb0, 0xf9ae, 0x7faf, 0xf9a1, 0x7fad, 0xf995,
+    0x7fac, 0xf988, 0x7fab, 0xf97c, 0x7faa, 0xf96f, 0x7fa8, 0xf963,
+    0x7fa7, 0xf956, 0x7fa6, 0xf94a, 0x7fa4, 0xf93d, 0x7fa3, 0xf931,
+    0x7fa2, 0xf924, 0x7fa0, 0xf918, 0x7f9f, 0xf90b, 0x7f9e, 0xf8ff,
+    0x7f9c, 0xf8f2, 0x7f9b, 0xf8e6, 0x7f99, 0xf8d9, 0x7f98, 0xf8cd,
+    0x7f97, 0xf8c0, 0x7f95, 0xf8b4, 0x7f94, 0xf8a7, 0x7f92, 0xf89b,
+    0x7f91, 0xf88e, 0x7f8f, 0xf882, 0x7f8e, 0xf875, 0x7f8c, 0xf869,
+    0x7f8b, 0xf85c, 0x7f89, 0xf850, 0x7f88, 0xf843, 0x7f86, 0xf837,
+    0x7f85, 0xf82a, 0x7f83, 0xf81e, 0x7f82, 0xf811, 0x7f80, 0xf805,
+    0x7f7f, 0xf7f9, 0x7f7d, 0xf7ec, 0x7f7b, 0xf7e0, 0x7f7a, 0xf7d3,
+    0x7f78, 0xf7c7, 0x7f77, 0xf7ba, 0x7f75, 0xf7ae, 0x7f73, 0xf7a1,
+    0x7f72, 0xf795, 0x7f70, 0xf788, 0x7f6e, 0xf77c, 0x7f6d, 0xf76f,
+    0x7f6b, 0xf763, 0x7f69, 0xf757, 0x7f68, 0xf74a, 0x7f66, 0xf73e,
+    0x7f64, 0xf731, 0x7f62, 0xf725, 0x7f61, 0xf718, 0x7f5f, 0xf70c,
+    0x7f5d, 0xf6ff, 0x7f5b, 0xf6f3, 0x7f5a, 0xf6e7, 0x7f58, 0xf6da,
+    0x7f56, 0xf6ce, 0x7f54, 0xf6c1, 0x7f52, 0xf6b5, 0x7f51, 0xf6a8,
+    0x7f4f, 0xf69c, 0x7f4d, 0xf690, 0x7f4b, 0xf683, 0x7f49, 0xf677,
+    0x7f47, 0xf66a, 0x7f45, 0xf65e, 0x7f43, 0xf651, 0x7f42, 0xf645,
+    0x7f40, 0xf639, 0x7f3e, 0xf62c, 0x7f3c, 0xf620, 0x7f3a, 0xf613,
+    0x7f38, 0xf607, 0x7f36, 0xf5fa, 0x7f34, 0xf5ee, 0x7f32, 0xf5e2,
+    0x7f30, 0xf5d5, 0x7f2e, 0xf5c9, 0x7f2c, 0xf5bc, 0x7f2a, 0xf5b0,
+    0x7f28, 0xf5a4, 0x7f26, 0xf597, 0x7f24, 0xf58b, 0x7f22, 0xf57e,
+    0x7f20, 0xf572, 0x7f1e, 0xf566, 0x7f1c, 0xf559, 0x7f19, 0xf54d,
+    0x7f17, 0xf540, 0x7f15, 0xf534, 0x7f13, 0xf528, 0x7f11, 0xf51b,
+    0x7f0f, 0xf50f, 0x7f0d, 0xf503, 0x7f0a, 0xf4f6, 0x7f08, 0xf4ea,
+    0x7f06, 0xf4dd, 0x7f04, 0xf4d1, 0x7f02, 0xf4c5, 0x7f00, 0xf4b8,
+    0x7efd, 0xf4ac, 0x7efb, 0xf4a0, 0x7ef9, 0xf493, 0x7ef7, 0xf487,
+    0x7ef4, 0xf47b, 0x7ef2, 0xf46e, 0x7ef0, 0xf462, 0x7eed, 0xf455,
+    0x7eeb, 0xf449, 0x7ee9, 0xf43d, 0x7ee7, 0xf430, 0x7ee4, 0xf424,
+    0x7ee2, 0xf418, 0x7ee0, 0xf40b, 0x7edd, 0xf3ff, 0x7edb, 0xf3f3,
+    0x7ed8, 0xf3e6, 0x7ed6, 0xf3da, 0x7ed4, 0xf3ce, 0x7ed1, 0xf3c1,
+    0x7ecf, 0xf3b5, 0x7ecc, 0xf3a9, 0x7eca, 0xf39c, 0x7ec8, 0xf390,
+    0x7ec5, 0xf384, 0x7ec3, 0xf377, 0x7ec0, 0xf36b, 0x7ebe, 0xf35f,
+    0x7ebb, 0xf352, 0x7eb9, 0xf346, 0x7eb6, 0xf33a, 0x7eb4, 0xf32d,
+    0x7eb1, 0xf321, 0x7eaf, 0xf315, 0x7eac, 0xf308, 0x7eaa, 0xf2fc,
+    0x7ea7, 0xf2f0, 0x7ea5, 0xf2e4, 0x7ea2, 0xf2d7, 0x7e9f, 0xf2cb,
+    0x7e9d, 0xf2bf, 0x7e9a, 0xf2b2, 0x7e98, 0xf2a6, 0x7e95, 0xf29a,
+    0x7e92, 0xf28e, 0x7e90, 0xf281, 0x7e8d, 0xf275, 0x7e8a, 0xf269,
+    0x7e88, 0xf25c, 0x7e85, 0xf250, 0x7e82, 0xf244, 0x7e80, 0xf238,
+    0x7e7d, 0xf22b, 0x7e7a, 0xf21f, 0x7e77, 0xf213, 0x7e75, 0xf207,
+    0x7e72, 0xf1fa, 0x7e6f, 0xf1ee, 0x7e6c, 0xf1e2, 0x7e6a, 0xf1d5,
+    0x7e67, 0xf1c9, 0x7e64, 0xf1bd, 0x7e61, 0xf1b1, 0x7e5e, 0xf1a4,
+    0x7e5c, 0xf198, 0x7e59, 0xf18c, 0x7e56, 0xf180, 0x7e53, 0xf174,
+    0x7e50, 0xf167, 0x7e4d, 0xf15b, 0x7e4a, 0xf14f, 0x7e48, 0xf143,
+    0x7e45, 0xf136, 0x7e42, 0xf12a, 0x7e3f, 0xf11e, 0x7e3c, 0xf112,
+    0x7e39, 0xf105, 0x7e36, 0xf0f9, 0x7e33, 0xf0ed, 0x7e30, 0xf0e1,
+    0x7e2d, 0xf0d5, 0x7e2a, 0xf0c8, 0x7e27, 0xf0bc, 0x7e24, 0xf0b0,
+    0x7e21, 0xf0a4, 0x7e1e, 0xf098, 0x7e1b, 0xf08b, 0x7e18, 0xf07f,
+    0x7e15, 0xf073, 0x7e12, 0xf067, 0x7e0f, 0xf05b, 0x7e0c, 0xf04e,
+    0x7e09, 0xf042, 0x7e06, 0xf036, 0x7e03, 0xf02a, 0x7dff, 0xf01e,
+    0x7dfc, 0xf012, 0x7df9, 0xf005, 0x7df6, 0xeff9, 0x7df3, 0xefed,
+    0x7df0, 0xefe1, 0x7ded, 0xefd5, 0x7de9, 0xefc9, 0x7de6, 0xefbc,
+    0x7de3, 0xefb0, 0x7de0, 0xefa4, 0x7ddd, 0xef98, 0x7dd9, 0xef8c,
+    0x7dd6, 0xef80, 0x7dd3, 0xef74, 0x7dd0, 0xef67, 0x7dcc, 0xef5b,
+    0x7dc9, 0xef4f, 0x7dc6, 0xef43, 0x7dc2, 0xef37, 0x7dbf, 0xef2b,
+    0x7dbc, 0xef1f, 0x7db9, 0xef13, 0x7db5, 0xef06, 0x7db2, 0xeefa,
+    0x7daf, 0xeeee, 0x7dab, 0xeee2, 0x7da8, 0xeed6, 0x7da4, 0xeeca,
+    0x7da1, 0xeebe, 0x7d9e, 0xeeb2, 0x7d9a, 0xeea6, 0x7d97, 0xee99,
+    0x7d93, 0xee8d, 0x7d90, 0xee81, 0x7d8d, 0xee75, 0x7d89, 0xee69,
+    0x7d86, 0xee5d, 0x7d82, 0xee51, 0x7d7f, 0xee45, 0x7d7b, 0xee39,
+    0x7d78, 0xee2d, 0x7d74, 0xee21, 0x7d71, 0xee15, 0x7d6d, 0xee09,
+    0x7d6a, 0xedfc, 0x7d66, 0xedf0, 0x7d63, 0xede4, 0x7d5f, 0xedd8,
+    0x7d5b, 0xedcc, 0x7d58, 0xedc0, 0x7d54, 0xedb4, 0x7d51, 0xeda8,
+    0x7d4d, 0xed9c, 0x7d49, 0xed90, 0x7d46, 0xed84, 0x7d42, 0xed78,
+    0x7d3f, 0xed6c, 0x7d3b, 0xed60, 0x7d37, 0xed54, 0x7d34, 0xed48,
+    0x7d30, 0xed3c, 0x7d2c, 0xed30, 0x7d28, 0xed24, 0x7d25, 0xed18,
+    0x7d21, 0xed0c, 0x7d1d, 0xed00, 0x7d1a, 0xecf4, 0x7d16, 0xece8,
+    0x7d12, 0xecdc, 0x7d0e, 0xecd0, 0x7d0b, 0xecc4, 0x7d07, 0xecb8,
+    0x7d03, 0xecac, 0x7cff, 0xeca0, 0x7cfb, 0xec94, 0x7cf8, 0xec88,
+    0x7cf4, 0xec7c, 0x7cf0, 0xec70, 0x7cec, 0xec64, 0x7ce8, 0xec58,
+    0x7ce4, 0xec4c, 0x7ce0, 0xec40, 0x7cdd, 0xec34, 0x7cd9, 0xec28,
+    0x7cd5, 0xec1c, 0x7cd1, 0xec10, 0x7ccd, 0xec05, 0x7cc9, 0xebf9,
+    0x7cc5, 0xebed, 0x7cc1, 0xebe1, 0x7cbd, 0xebd5, 0x7cb9, 0xebc9,
+    0x7cb5, 0xebbd, 0x7cb1, 0xebb1, 0x7cad, 0xeba5, 0x7ca9, 0xeb99,
+    0x7ca5, 0xeb8d, 0x7ca1, 0xeb81, 0x7c9d, 0xeb75, 0x7c99, 0xeb6a,
+    0x7c95, 0xeb5e, 0x7c91, 0xeb52, 0x7c8d, 0xeb46, 0x7c89, 0xeb3a,
+    0x7c85, 0xeb2e, 0x7c81, 0xeb22, 0x7c7d, 0xeb16, 0x7c79, 0xeb0a,
+    0x7c74, 0xeaff, 0x7c70, 0xeaf3, 0x7c6c, 0xeae7, 0x7c68, 0xeadb,
+    0x7c64, 0xeacf, 0x7c60, 0xeac3, 0x7c5b, 0xeab7, 0x7c57, 0xeaac,
+    0x7c53, 0xeaa0, 0x7c4f, 0xea94, 0x7c4b, 0xea88, 0x7c46, 0xea7c,
+    0x7c42, 0xea70, 0x7c3e, 0xea65, 0x7c3a, 0xea59, 0x7c36, 0xea4d,
+    0x7c31, 0xea41, 0x7c2d, 0xea35, 0x7c29, 0xea29, 0x7c24, 0xea1e,
+    0x7c20, 0xea12, 0x7c1c, 0xea06, 0x7c17, 0xe9fa, 0x7c13, 0xe9ee,
+    0x7c0f, 0xe9e3, 0x7c0a, 0xe9d7, 0x7c06, 0xe9cb, 0x7c02, 0xe9bf,
+    0x7bfd, 0xe9b4, 0x7bf9, 0xe9a8, 0x7bf5, 0xe99c, 0x7bf0, 0xe990,
+    0x7bec, 0xe984, 0x7be7, 0xe979, 0x7be3, 0xe96d, 0x7bde, 0xe961,
+    0x7bda, 0xe955, 0x7bd6, 0xe94a, 0x7bd1, 0xe93e, 0x7bcd, 0xe932,
+    0x7bc8, 0xe926, 0x7bc4, 0xe91b, 0x7bbf, 0xe90f, 0x7bbb, 0xe903,
+    0x7bb6, 0xe8f7, 0x7bb2, 0xe8ec, 0x7bad, 0xe8e0, 0x7ba9, 0xe8d4,
+    0x7ba4, 0xe8c9, 0x7b9f, 0xe8bd, 0x7b9b, 0xe8b1, 0x7b96, 0xe8a5,
+    0x7b92, 0xe89a, 0x7b8d, 0xe88e, 0x7b88, 0xe882, 0x7b84, 0xe877,
+    0x7b7f, 0xe86b, 0x7b7b, 0xe85f, 0x7b76, 0xe854, 0x7b71, 0xe848,
+    0x7b6d, 0xe83c, 0x7b68, 0xe831, 0x7b63, 0xe825, 0x7b5f, 0xe819,
+    0x7b5a, 0xe80e, 0x7b55, 0xe802, 0x7b50, 0xe7f6, 0x7b4c, 0xe7eb,
+    0x7b47, 0xe7df, 0x7b42, 0xe7d3, 0x7b3e, 0xe7c8, 0x7b39, 0xe7bc,
+    0x7b34, 0xe7b1, 0x7b2f, 0xe7a5, 0x7b2a, 0xe799, 0x7b26, 0xe78e,
+    0x7b21, 0xe782, 0x7b1c, 0xe777, 0x7b17, 0xe76b, 0x7b12, 0xe75f,
+    0x7b0e, 0xe754, 0x7b09, 0xe748, 0x7b04, 0xe73d, 0x7aff, 0xe731,
+    0x7afa, 0xe725, 0x7af5, 0xe71a, 0x7af0, 0xe70e, 0x7aeb, 0xe703,
+    0x7ae6, 0xe6f7, 0x7ae2, 0xe6ec, 0x7add, 0xe6e0, 0x7ad8, 0xe6d4,
+    0x7ad3, 0xe6c9, 0x7ace, 0xe6bd, 0x7ac9, 0xe6b2, 0x7ac4, 0xe6a6,
+    0x7abf, 0xe69b, 0x7aba, 0xe68f, 0x7ab5, 0xe684, 0x7ab0, 0xe678,
+    0x7aab, 0xe66d, 0x7aa6, 0xe661, 0x7aa1, 0xe656, 0x7a9c, 0xe64a,
+    0x7a97, 0xe63f, 0x7a92, 0xe633, 0x7a8d, 0xe628, 0x7a88, 0xe61c,
+    0x7a82, 0xe611, 0x7a7d, 0xe605, 0x7a78, 0xe5fa, 0x7a73, 0xe5ee,
+    0x7a6e, 0xe5e3, 0x7a69, 0xe5d7, 0x7a64, 0xe5cc, 0x7a5f, 0xe5c0,
+    0x7a59, 0xe5b5, 0x7a54, 0xe5a9, 0x7a4f, 0xe59e, 0x7a4a, 0xe592,
+    0x7a45, 0xe587, 0x7a3f, 0xe57c, 0x7a3a, 0xe570, 0x7a35, 0xe565,
+    0x7a30, 0xe559, 0x7a2b, 0xe54e, 0x7a25, 0xe542, 0x7a20, 0xe537,
+    0x7a1b, 0xe52c, 0x7a16, 0xe520, 0x7a10, 0xe515, 0x7a0b, 0xe509,
+    0x7a06, 0xe4fe, 0x7a00, 0xe4f3, 0x79fb, 0xe4e7, 0x79f6, 0xe4dc,
+    0x79f0, 0xe4d0, 0x79eb, 0xe4c5, 0x79e6, 0xe4ba, 0x79e0, 0xe4ae,
+    0x79db, 0xe4a3, 0x79d6, 0xe498, 0x79d0, 0xe48c, 0x79cb, 0xe481,
+    0x79c5, 0xe476, 0x79c0, 0xe46a, 0x79bb, 0xe45f, 0x79b5, 0xe454,
+    0x79b0, 0xe448, 0x79aa, 0xe43d, 0x79a5, 0xe432, 0x799f, 0xe426,
+    0x799a, 0xe41b, 0x7994, 0xe410, 0x798f, 0xe404, 0x7989, 0xe3f9,
+    0x7984, 0xe3ee, 0x797e, 0xe3e2, 0x7979, 0xe3d7, 0x7973, 0xe3cc,
+    0x796e, 0xe3c1, 0x7968, 0xe3b5, 0x7963, 0xe3aa, 0x795d, 0xe39f,
+    0x7958, 0xe394, 0x7952, 0xe388, 0x794c, 0xe37d, 0x7947, 0xe372,
+    0x7941, 0xe367, 0x793b, 0xe35b, 0x7936, 0xe350, 0x7930, 0xe345,
+    0x792b, 0xe33a, 0x7925, 0xe32e, 0x791f, 0xe323, 0x791a, 0xe318,
+    0x7914, 0xe30d, 0x790e, 0xe301, 0x7909, 0xe2f6, 0x7903, 0xe2eb,
+    0x78fd, 0xe2e0, 0x78f7, 0xe2d5, 0x78f2, 0xe2ca, 0x78ec, 0xe2be,
+    0x78e6, 0xe2b3, 0x78e0, 0xe2a8, 0x78db, 0xe29d, 0x78d5, 0xe292,
+    0x78cf, 0xe287, 0x78c9, 0xe27b, 0x78c3, 0xe270, 0x78be, 0xe265,
+    0x78b8, 0xe25a, 0x78b2, 0xe24f, 0x78ac, 0xe244, 0x78a6, 0xe239,
+    0x78a1, 0xe22d, 0x789b, 0xe222, 0x7895, 0xe217, 0x788f, 0xe20c,
+    0x7889, 0xe201, 0x7883, 0xe1f6, 0x787d, 0xe1eb, 0x7877, 0xe1e0,
+    0x7871, 0xe1d5, 0x786b, 0xe1ca, 0x7866, 0xe1be, 0x7860, 0xe1b3,
+    0x785a, 0xe1a8, 0x7854, 0xe19d, 0x784e, 0xe192, 0x7848, 0xe187,
+    0x7842, 0xe17c, 0x783c, 0xe171, 0x7836, 0xe166, 0x7830, 0xe15b,
+    0x782a, 0xe150, 0x7824, 0xe145, 0x781e, 0xe13a, 0x7818, 0xe12f,
+    0x7812, 0xe124, 0x780b, 0xe119, 0x7805, 0xe10e, 0x77ff, 0xe103,
+    0x77f9, 0xe0f8, 0x77f3, 0xe0ed, 0x77ed, 0xe0e2, 0x77e7, 0xe0d7,
+    0x77e1, 0xe0cc, 0x77db, 0xe0c1, 0x77d5, 0xe0b6, 0x77ce, 0xe0ab,
+    0x77c8, 0xe0a0, 0x77c2, 0xe095, 0x77bc, 0xe08a, 0x77b6, 0xe07f,
+    0x77b0, 0xe074, 0x77a9, 0xe069, 0x77a3, 0xe05e, 0x779d, 0xe054,
+    0x7797, 0xe049, 0x7790, 0xe03e, 0x778a, 0xe033, 0x7784, 0xe028,
+    0x777e, 0xe01d, 0x7777, 0xe012, 0x7771, 0xe007, 0x776b, 0xdffc,
+    0x7765, 0xdff1, 0x775e, 0xdfe7, 0x7758, 0xdfdc, 0x7752, 0xdfd1,
+    0x774b, 0xdfc6, 0x7745, 0xdfbb, 0x773f, 0xdfb0, 0x7738, 0xdfa5,
+    0x7732, 0xdf9b, 0x772c, 0xdf90, 0x7725, 0xdf85, 0x771f, 0xdf7a,
+    0x7718, 0xdf6f, 0x7712, 0xdf65, 0x770c, 0xdf5a, 0x7705, 0xdf4f,
+    0x76ff, 0xdf44, 0x76f8, 0xdf39, 0x76f2, 0xdf2f, 0x76eb, 0xdf24,
+    0x76e5, 0xdf19, 0x76df, 0xdf0e, 0x76d8, 0xdf03, 0x76d2, 0xdef9,
+    0x76cb, 0xdeee, 0x76c5, 0xdee3, 0x76be, 0xded8, 0x76b8, 0xdece,
+    0x76b1, 0xdec3, 0x76ab, 0xdeb8, 0x76a4, 0xdead, 0x769d, 0xdea3,
+    0x7697, 0xde98, 0x7690, 0xde8d, 0x768a, 0xde83, 0x7683, 0xde78,
+    0x767d, 0xde6d, 0x7676, 0xde62, 0x766f, 0xde58, 0x7669, 0xde4d,
+    0x7662, 0xde42, 0x765c, 0xde38, 0x7655, 0xde2d, 0x764e, 0xde22,
+    0x7648, 0xde18, 0x7641, 0xde0d, 0x763a, 0xde02, 0x7634, 0xddf8,
+    0x762d, 0xdded, 0x7626, 0xdde2, 0x7620, 0xddd8, 0x7619, 0xddcd,
+    0x7612, 0xddc3, 0x760b, 0xddb8, 0x7605, 0xddad, 0x75fe, 0xdda3,
+    0x75f7, 0xdd98, 0x75f0, 0xdd8e, 0x75ea, 0xdd83, 0x75e3, 0xdd78,
+    0x75dc, 0xdd6e, 0x75d5, 0xdd63, 0x75ce, 0xdd59, 0x75c8, 0xdd4e,
+    0x75c1, 0xdd44, 0x75ba, 0xdd39, 0x75b3, 0xdd2e, 0x75ac, 0xdd24,
+    0x75a5, 0xdd19, 0x759f, 0xdd0f, 0x7598, 0xdd04, 0x7591, 0xdcfa,
+    0x758a, 0xdcef, 0x7583, 0xdce5, 0x757c, 0xdcda, 0x7575, 0xdcd0,
+    0x756e, 0xdcc5, 0x7567, 0xdcbb, 0x7561, 0xdcb0, 0x755a, 0xdca6,
+    0x7553, 0xdc9b, 0x754c, 0xdc91, 0x7545, 0xdc86, 0x753e, 0xdc7c,
+    0x7537, 0xdc72, 0x7530, 0xdc67, 0x7529, 0xdc5d, 0x7522, 0xdc52,
+    0x751b, 0xdc48, 0x7514, 0xdc3d, 0x750d, 0xdc33, 0x7506, 0xdc29,
+    0x74ff, 0xdc1e, 0x74f8, 0xdc14, 0x74f1, 0xdc09, 0x74ea, 0xdbff,
+    0x74e2, 0xdbf5, 0x74db, 0xdbea, 0x74d4, 0xdbe0, 0x74cd, 0xdbd5,
+    0x74c6, 0xdbcb, 0x74bf, 0xdbc1, 0x74b8, 0xdbb6, 0x74b1, 0xdbac,
+    0x74aa, 0xdba2, 0x74a2, 0xdb97, 0x749b, 0xdb8d, 0x7494, 0xdb83,
+    0x748d, 0xdb78, 0x7486, 0xdb6e, 0x747f, 0xdb64, 0x7477, 0xdb59,
+    0x7470, 0xdb4f, 0x7469, 0xdb45, 0x7462, 0xdb3b, 0x745b, 0xdb30,
+    0x7453, 0xdb26, 0x744c, 0xdb1c, 0x7445, 0xdb11, 0x743e, 0xdb07,
+    0x7436, 0xdafd, 0x742f, 0xdaf3, 0x7428, 0xdae8, 0x7420, 0xdade,
+    0x7419, 0xdad4, 0x7412, 0xdaca, 0x740b, 0xdabf, 0x7403, 0xdab5,
+    0x73fc, 0xdaab, 0x73f5, 0xdaa1, 0x73ed, 0xda97, 0x73e6, 0xda8c,
+    0x73df, 0xda82, 0x73d7, 0xda78, 0x73d0, 0xda6e, 0x73c8, 0xda64,
+    0x73c1, 0xda5a, 0x73ba, 0xda4f, 0x73b2, 0xda45, 0x73ab, 0xda3b,
+    0x73a3, 0xda31, 0x739c, 0xda27, 0x7395, 0xda1d, 0x738d, 0xda13,
+    0x7386, 0xda08, 0x737e, 0xd9fe, 0x7377, 0xd9f4, 0x736f, 0xd9ea,
+    0x7368, 0xd9e0, 0x7360, 0xd9d6, 0x7359, 0xd9cc, 0x7351, 0xd9c2,
+    0x734a, 0xd9b8, 0x7342, 0xd9ae, 0x733b, 0xd9a4, 0x7333, 0xd99a,
+    0x732c, 0xd98f, 0x7324, 0xd985, 0x731d, 0xd97b, 0x7315, 0xd971,
+    0x730d, 0xd967, 0x7306, 0xd95d, 0x72fe, 0xd953, 0x72f7, 0xd949,
+    0x72ef, 0xd93f, 0x72e7, 0xd935, 0x72e0, 0xd92b, 0x72d8, 0xd921,
+    0x72d0, 0xd917, 0x72c9, 0xd90d, 0x72c1, 0xd903, 0x72ba, 0xd8f9,
+    0x72b2, 0xd8ef, 0x72aa, 0xd8e6, 0x72a3, 0xd8dc, 0x729b, 0xd8d2,
+    0x7293, 0xd8c8, 0x728b, 0xd8be, 0x7284, 0xd8b4, 0x727c, 0xd8aa,
+    0x7274, 0xd8a0, 0x726d, 0xd896, 0x7265, 0xd88c, 0x725d, 0xd882,
+    0x7255, 0xd878, 0x724e, 0xd86f, 0x7246, 0xd865, 0x723e, 0xd85b,
+    0x7236, 0xd851, 0x722e, 0xd847, 0x7227, 0xd83d, 0x721f, 0xd833,
+    0x7217, 0xd82a, 0x720f, 0xd820, 0x7207, 0xd816, 0x71ff, 0xd80c,
+    0x71f8, 0xd802, 0x71f0, 0xd7f8, 0x71e8, 0xd7ef, 0x71e0, 0xd7e5,
+    0x71d8, 0xd7db, 0x71d0, 0xd7d1, 0x71c8, 0xd7c8, 0x71c0, 0xd7be,
+    0x71b9, 0xd7b4, 0x71b1, 0xd7aa, 0x71a9, 0xd7a0, 0x71a1, 0xd797,
+    0x7199, 0xd78d, 0x7191, 0xd783, 0x7189, 0xd77a, 0x7181, 0xd770,
+    0x7179, 0xd766, 0x7171, 0xd75c, 0x7169, 0xd753, 0x7161, 0xd749,
+    0x7159, 0xd73f, 0x7151, 0xd736, 0x7149, 0xd72c, 0x7141, 0xd722,
+    0x7139, 0xd719, 0x7131, 0xd70f, 0x7129, 0xd705, 0x7121, 0xd6fc,
+    0x7119, 0xd6f2, 0x7111, 0xd6e8, 0x7109, 0xd6df, 0x7101, 0xd6d5,
+    0x70f9, 0xd6cb, 0x70f0, 0xd6c2, 0x70e8, 0xd6b8, 0x70e0, 0xd6af,
+    0x70d8, 0xd6a5, 0x70d0, 0xd69b, 0x70c8, 0xd692, 0x70c0, 0xd688,
+    0x70b8, 0xd67f, 0x70af, 0xd675, 0x70a7, 0xd66c, 0x709f, 0xd662,
+    0x7097, 0xd659, 0x708f, 0xd64f, 0x7087, 0xd645, 0x707e, 0xd63c,
+    0x7076, 0xd632, 0x706e, 0xd629, 0x7066, 0xd61f, 0x705d, 0xd616,
+    0x7055, 0xd60c, 0x704d, 0xd603, 0x7045, 0xd5f9, 0x703c, 0xd5f0,
+    0x7034, 0xd5e6, 0x702c, 0xd5dd, 0x7024, 0xd5d4, 0x701b, 0xd5ca,
+    0x7013, 0xd5c1, 0x700b, 0xd5b7, 0x7002, 0xd5ae, 0x6ffa, 0xd5a4,
+    0x6ff2, 0xd59b, 0x6fea, 0xd592, 0x6fe1, 0xd588, 0x6fd9, 0xd57f,
+    0x6fd0, 0xd575, 0x6fc8, 0xd56c, 0x6fc0, 0xd563, 0x6fb7, 0xd559,
+    0x6faf, 0xd550, 0x6fa7, 0xd547, 0x6f9e, 0xd53d, 0x6f96, 0xd534,
+    0x6f8d, 0xd52a, 0x6f85, 0xd521, 0x6f7d, 0xd518, 0x6f74, 0xd50e,
+    0x6f6c, 0xd505, 0x6f63, 0xd4fc, 0x6f5b, 0xd4f3, 0x6f52, 0xd4e9,
+    0x6f4a, 0xd4e0, 0x6f41, 0xd4d7, 0x6f39, 0xd4cd, 0x6f30, 0xd4c4,
+    0x6f28, 0xd4bb, 0x6f20, 0xd4b2, 0x6f17, 0xd4a8, 0x6f0e, 0xd49f,
+    0x6f06, 0xd496, 0x6efd, 0xd48d, 0x6ef5, 0xd483, 0x6eec, 0xd47a,
+    0x6ee4, 0xd471, 0x6edb, 0xd468, 0x6ed3, 0xd45f, 0x6eca, 0xd455,
+    0x6ec2, 0xd44c, 0x6eb9, 0xd443, 0x6eb0, 0xd43a, 0x6ea8, 0xd431,
+    0x6e9f, 0xd428, 0x6e97, 0xd41e, 0x6e8e, 0xd415, 0x6e85, 0xd40c,
+    0x6e7d, 0xd403, 0x6e74, 0xd3fa, 0x6e6b, 0xd3f1, 0x6e63, 0xd3e8,
+    0x6e5a, 0xd3df, 0x6e51, 0xd3d5, 0x6e49, 0xd3cc, 0x6e40, 0xd3c3,
+    0x6e37, 0xd3ba, 0x6e2f, 0xd3b1, 0x6e26, 0xd3a8, 0x6e1d, 0xd39f,
+    0x6e15, 0xd396, 0x6e0c, 0xd38d, 0x6e03, 0xd384, 0x6dfa, 0xd37b,
+    0x6df2, 0xd372, 0x6de9, 0xd369, 0x6de0, 0xd360, 0x6dd7, 0xd357,
+    0x6dcf, 0xd34e, 0x6dc6, 0xd345, 0x6dbd, 0xd33c, 0x6db4, 0xd333,
+    0x6dab, 0xd32a, 0x6da3, 0xd321, 0x6d9a, 0xd318, 0x6d91, 0xd30f,
+    0x6d88, 0xd306, 0x6d7f, 0xd2fd, 0x6d76, 0xd2f4, 0x6d6e, 0xd2eb,
+    0x6d65, 0xd2e2, 0x6d5c, 0xd2d9, 0x6d53, 0xd2d1, 0x6d4a, 0xd2c8,
+    0x6d41, 0xd2bf, 0x6d38, 0xd2b6, 0x6d2f, 0xd2ad, 0x6d27, 0xd2a4,
+    0x6d1e, 0xd29b, 0x6d15, 0xd292, 0x6d0c, 0xd28a, 0x6d03, 0xd281,
+    0x6cfa, 0xd278, 0x6cf1, 0xd26f, 0x6ce8, 0xd266, 0x6cdf, 0xd25d,
+    0x6cd6, 0xd255, 0x6ccd, 0xd24c, 0x6cc4, 0xd243, 0x6cbb, 0xd23a,
+    0x6cb2, 0xd231, 0x6ca9, 0xd229, 0x6ca0, 0xd220, 0x6c97, 0xd217,
+    0x6c8e, 0xd20e, 0x6c85, 0xd206, 0x6c7c, 0xd1fd, 0x6c73, 0xd1f4,
+    0x6c6a, 0xd1eb, 0x6c61, 0xd1e3, 0x6c58, 0xd1da, 0x6c4f, 0xd1d1,
+    0x6c46, 0xd1c9, 0x6c3d, 0xd1c0, 0x6c34, 0xd1b7, 0x6c2b, 0xd1af,
+    0x6c21, 0xd1a6, 0x6c18, 0xd19d, 0x6c0f, 0xd195, 0x6c06, 0xd18c,
+    0x6bfd, 0xd183, 0x6bf4, 0xd17b, 0x6beb, 0xd172, 0x6be2, 0xd169,
+    0x6bd8, 0xd161, 0x6bcf, 0xd158, 0x6bc6, 0xd150, 0x6bbd, 0xd147,
+    0x6bb4, 0xd13e, 0x6bab, 0xd136, 0x6ba1, 0xd12d, 0x6b98, 0xd125,
+    0x6b8f, 0xd11c, 0x6b86, 0xd114, 0x6b7d, 0xd10b, 0x6b73, 0xd103,
+    0x6b6a, 0xd0fa, 0x6b61, 0xd0f2, 0x6b58, 0xd0e9, 0x6b4e, 0xd0e0,
+    0x6b45, 0xd0d8, 0x6b3c, 0xd0d0, 0x6b33, 0xd0c7, 0x6b29, 0xd0bf,
+    0x6b20, 0xd0b6, 0x6b17, 0xd0ae, 0x6b0d, 0xd0a5, 0x6b04, 0xd09d,
+    0x6afb, 0xd094, 0x6af2, 0xd08c, 0x6ae8, 0xd083, 0x6adf, 0xd07b,
+    0x6ad6, 0xd073, 0x6acc, 0xd06a, 0x6ac3, 0xd062, 0x6ab9, 0xd059,
+    0x6ab0, 0xd051, 0x6aa7, 0xd049, 0x6a9d, 0xd040, 0x6a94, 0xd038,
+    0x6a8b, 0xd030, 0x6a81, 0xd027, 0x6a78, 0xd01f, 0x6a6e, 0xd016,
+    0x6a65, 0xd00e, 0x6a5c, 0xd006, 0x6a52, 0xcffe, 0x6a49, 0xcff5,
+    0x6a3f, 0xcfed, 0x6a36, 0xcfe5, 0x6a2c, 0xcfdc, 0x6a23, 0xcfd4,
+    0x6a1a, 0xcfcc, 0x6a10, 0xcfc4, 0x6a07, 0xcfbb, 0x69fd, 0xcfb3,
+    0x69f4, 0xcfab, 0x69ea, 0xcfa3, 0x69e1, 0xcf9a, 0x69d7, 0xcf92,
+    0x69ce, 0xcf8a, 0x69c4, 0xcf82, 0x69bb, 0xcf79, 0x69b1, 0xcf71,
+    0x69a7, 0xcf69, 0x699e, 0xcf61, 0x6994, 0xcf59, 0x698b, 0xcf51,
+    0x6981, 0xcf48, 0x6978, 0xcf40, 0x696e, 0xcf38, 0x6965, 0xcf30,
+    0x695b, 0xcf28, 0x6951, 0xcf20, 0x6948, 0xcf18, 0x693e, 0xcf10,
+    0x6935, 0xcf07, 0x692b, 0xceff, 0x6921, 0xcef7, 0x6918, 0xceef,
+    0x690e, 0xcee7, 0x6904, 0xcedf, 0x68fb, 0xced7, 0x68f1, 0xcecf,
+    0x68e7, 0xcec7, 0x68de, 0xcebf, 0x68d4, 0xceb7, 0x68ca, 0xceaf,
+    0x68c1, 0xcea7, 0x68b7, 0xce9f, 0x68ad, 0xce97, 0x68a4, 0xce8f,
+    0x689a, 0xce87, 0x6890, 0xce7f, 0x6886, 0xce77, 0x687d, 0xce6f,
+    0x6873, 0xce67, 0x6869, 0xce5f, 0x6860, 0xce57, 0x6856, 0xce4f,
+    0x684c, 0xce47, 0x6842, 0xce40, 0x6838, 0xce38, 0x682f, 0xce30,
+    0x6825, 0xce28, 0x681b, 0xce20, 0x6811, 0xce18, 0x6808, 0xce10,
+    0x67fe, 0xce08, 0x67f4, 0xce01, 0x67ea, 0xcdf9, 0x67e0, 0xcdf1,
+    0x67d6, 0xcde9, 0x67cd, 0xcde1, 0x67c3, 0xcdd9, 0x67b9, 0xcdd2,
+    0x67af, 0xcdca, 0x67a5, 0xcdc2, 0x679b, 0xcdba, 0x6791, 0xcdb2,
+    0x6788, 0xcdab, 0x677e, 0xcda3, 0x6774, 0xcd9b, 0x676a, 0xcd93,
+    0x6760, 0xcd8c, 0x6756, 0xcd84, 0x674c, 0xcd7c, 0x6742, 0xcd75,
+    0x6738, 0xcd6d, 0x672e, 0xcd65, 0x6724, 0xcd5d, 0x671a, 0xcd56,
+    0x6711, 0xcd4e, 0x6707, 0xcd46, 0x66fd, 0xcd3f, 0x66f3, 0xcd37,
+    0x66e9, 0xcd30, 0x66df, 0xcd28, 0x66d5, 0xcd20, 0x66cb, 0xcd19,
+    0x66c1, 0xcd11, 0x66b7, 0xcd09, 0x66ad, 0xcd02, 0x66a3, 0xccfa,
+    0x6699, 0xccf3, 0x668f, 0xcceb, 0x6685, 0xcce3, 0x667b, 0xccdc,
+    0x6671, 0xccd4, 0x6666, 0xcccd, 0x665c, 0xccc5, 0x6652, 0xccbe,
+    0x6648, 0xccb6, 0x663e, 0xccaf, 0x6634, 0xcca7, 0x662a, 0xcca0,
+    0x6620, 0xcc98, 0x6616, 0xcc91, 0x660c, 0xcc89, 0x6602, 0xcc82,
+    0x65f8, 0xcc7a, 0x65ed, 0xcc73, 0x65e3, 0xcc6b, 0x65d9, 0xcc64,
+    0x65cf, 0xcc5d, 0x65c5, 0xcc55, 0x65bb, 0xcc4e, 0x65b1, 0xcc46,
+    0x65a6, 0xcc3f, 0x659c, 0xcc38, 0x6592, 0xcc30, 0x6588, 0xcc29,
+    0x657e, 0xcc21, 0x6574, 0xcc1a, 0x6569, 0xcc13, 0x655f, 0xcc0b,
+    0x6555, 0xcc04, 0x654b, 0xcbfd, 0x6541, 0xcbf5, 0x6536, 0xcbee,
+    0x652c, 0xcbe7, 0x6522, 0xcbe0, 0x6518, 0xcbd8, 0x650d, 0xcbd1,
+    0x6503, 0xcbca, 0x64f9, 0xcbc2, 0x64ef, 0xcbbb, 0x64e4, 0xcbb4,
+    0x64da, 0xcbad, 0x64d0, 0xcba5, 0x64c5, 0xcb9e, 0x64bb, 0xcb97,
+    0x64b1, 0xcb90, 0x64a7, 0xcb89, 0x649c, 0xcb81, 0x6492, 0xcb7a,
+    0x6488, 0xcb73, 0x647d, 0xcb6c, 0x6473, 0xcb65, 0x6469, 0xcb5e,
+    0x645e, 0xcb56, 0x6454, 0xcb4f, 0x644a, 0xcb48, 0x643f, 0xcb41,
+    0x6435, 0xcb3a, 0x642b, 0xcb33, 0x6420, 0xcb2c, 0x6416, 0xcb25,
+    0x640b, 0xcb1e, 0x6401, 0xcb16, 0x63f7, 0xcb0f, 0x63ec, 0xcb08,
+    0x63e2, 0xcb01, 0x63d7, 0xcafa, 0x63cd, 0xcaf3, 0x63c3, 0xcaec,
+    0x63b8, 0xcae5, 0x63ae, 0xcade, 0x63a3, 0xcad7, 0x6399, 0xcad0,
+    0x638e, 0xcac9, 0x6384, 0xcac2, 0x637a, 0xcabb, 0x636f, 0xcab4,
+    0x6365, 0xcaad, 0x635a, 0xcaa6, 0x6350, 0xca9f, 0x6345, 0xca99,
+    0x633b, 0xca92, 0x6330, 0xca8b, 0x6326, 0xca84, 0x631b, 0xca7d,
+    0x6311, 0xca76, 0x6306, 0xca6f, 0x62fc, 0xca68, 0x62f1, 0xca61,
+    0x62e7, 0xca5b, 0x62dc, 0xca54, 0x62d2, 0xca4d, 0x62c7, 0xca46,
+    0x62bc, 0xca3f, 0x62b2, 0xca38, 0x62a7, 0xca32, 0x629d, 0xca2b,
+    0x6292, 0xca24, 0x6288, 0xca1d, 0x627d, 0xca16, 0x6272, 0xca10,
+    0x6268, 0xca09, 0x625d, 0xca02, 0x6253, 0xc9fb, 0x6248, 0xc9f5,
+    0x623d, 0xc9ee, 0x6233, 0xc9e7, 0x6228, 0xc9e0, 0x621e, 0xc9da,
+    0x6213, 0xc9d3, 0x6208, 0xc9cc, 0x61fe, 0xc9c6, 0x61f3, 0xc9bf,
+    0x61e8, 0xc9b8, 0x61de, 0xc9b2, 0x61d3, 0xc9ab, 0x61c8, 0xc9a4,
+    0x61be, 0xc99e, 0x61b3, 0xc997, 0x61a8, 0xc991, 0x619e, 0xc98a,
+    0x6193, 0xc983, 0x6188, 0xc97d, 0x617d, 0xc976, 0x6173, 0xc970,
+    0x6168, 0xc969, 0x615d, 0xc963, 0x6153, 0xc95c, 0x6148, 0xc955,
+    0x613d, 0xc94f, 0x6132, 0xc948, 0x6128, 0xc942, 0x611d, 0xc93b,
+    0x6112, 0xc935, 0x6107, 0xc92e, 0x60fd, 0xc928, 0x60f2, 0xc921,
+    0x60e7, 0xc91b, 0x60dc, 0xc915, 0x60d1, 0xc90e, 0x60c7, 0xc908,
+    0x60bc, 0xc901, 0x60b1, 0xc8fb, 0x60a6, 0xc8f4, 0x609b, 0xc8ee,
+    0x6091, 0xc8e8, 0x6086, 0xc8e1, 0x607b, 0xc8db, 0x6070, 0xc8d4,
+    0x6065, 0xc8ce, 0x605b, 0xc8c8, 0x6050, 0xc8c1, 0x6045, 0xc8bb,
+    0x603a, 0xc8b5, 0x602f, 0xc8ae, 0x6024, 0xc8a8, 0x6019, 0xc8a2,
+    0x600f, 0xc89b, 0x6004, 0xc895, 0x5ff9, 0xc88f, 0x5fee, 0xc889,
+    0x5fe3, 0xc882, 0x5fd8, 0xc87c, 0x5fcd, 0xc876, 0x5fc2, 0xc870,
+    0x5fb7, 0xc869, 0x5fac, 0xc863, 0x5fa2, 0xc85d, 0x5f97, 0xc857,
+    0x5f8c, 0xc850, 0x5f81, 0xc84a, 0x5f76, 0xc844, 0x5f6b, 0xc83e,
+    0x5f60, 0xc838, 0x5f55, 0xc832, 0x5f4a, 0xc82b, 0x5f3f, 0xc825,
+    0x5f34, 0xc81f, 0x5f29, 0xc819, 0x5f1e, 0xc813, 0x5f13, 0xc80d,
+    0x5f08, 0xc807, 0x5efd, 0xc801, 0x5ef2, 0xc7fb, 0x5ee7, 0xc7f5,
+    0x5edc, 0xc7ee, 0x5ed1, 0xc7e8, 0x5ec6, 0xc7e2, 0x5ebb, 0xc7dc,
+    0x5eb0, 0xc7d6, 0x5ea5, 0xc7d0, 0x5e9a, 0xc7ca, 0x5e8f, 0xc7c4,
+    0x5e84, 0xc7be, 0x5e79, 0xc7b8, 0x5e6e, 0xc7b2, 0x5e63, 0xc7ac,
+    0x5e58, 0xc7a6, 0x5e4d, 0xc7a0, 0x5e42, 0xc79a, 0x5e36, 0xc795,
+    0x5e2b, 0xc78f, 0x5e20, 0xc789, 0x5e15, 0xc783, 0x5e0a, 0xc77d,
+    0x5dff, 0xc777, 0x5df4, 0xc771, 0x5de9, 0xc76b, 0x5dde, 0xc765,
+    0x5dd3, 0xc75f, 0x5dc7, 0xc75a, 0x5dbc, 0xc754, 0x5db1, 0xc74e,
+    0x5da6, 0xc748, 0x5d9b, 0xc742, 0x5d90, 0xc73d, 0x5d85, 0xc737,
+    0x5d79, 0xc731, 0x5d6e, 0xc72b, 0x5d63, 0xc725, 0x5d58, 0xc720,
+    0x5d4d, 0xc71a, 0x5d42, 0xc714, 0x5d36, 0xc70e, 0x5d2b, 0xc709,
+    0x5d20, 0xc703, 0x5d15, 0xc6fd, 0x5d0a, 0xc6f7, 0x5cff, 0xc6f2,
+    0x5cf3, 0xc6ec, 0x5ce8, 0xc6e6, 0x5cdd, 0xc6e1, 0x5cd2, 0xc6db,
+    0x5cc6, 0xc6d5, 0x5cbb, 0xc6d0, 0x5cb0, 0xc6ca, 0x5ca5, 0xc6c5,
+    0x5c99, 0xc6bf, 0x5c8e, 0xc6b9, 0x5c83, 0xc6b4, 0x5c78, 0xc6ae,
+    0x5c6c, 0xc6a8, 0x5c61, 0xc6a3, 0x5c56, 0xc69d, 0x5c4b, 0xc698,
+    0x5c3f, 0xc692, 0x5c34, 0xc68d, 0x5c29, 0xc687, 0x5c1e, 0xc682,
+    0x5c12, 0xc67c, 0x5c07, 0xc677, 0x5bfc, 0xc671, 0x5bf0, 0xc66c,
+    0x5be5, 0xc666, 0x5bda, 0xc661, 0x5bce, 0xc65b, 0x5bc3, 0xc656,
+    0x5bb8, 0xc650, 0x5bac, 0xc64b, 0x5ba1, 0xc645, 0x5b96, 0xc640,
+    0x5b8a, 0xc63b, 0x5b7f, 0xc635, 0x5b74, 0xc630, 0x5b68, 0xc62a,
+    0x5b5d, 0xc625, 0x5b52, 0xc620, 0x5b46, 0xc61a, 0x5b3b, 0xc615,
+    0x5b30, 0xc610, 0x5b24, 0xc60a, 0x5b19, 0xc605, 0x5b0d, 0xc600,
+    0x5b02, 0xc5fa, 0x5af7, 0xc5f5, 0x5aeb, 0xc5f0, 0x5ae0, 0xc5ea,
+    0x5ad4, 0xc5e5, 0x5ac9, 0xc5e0, 0x5abe, 0xc5db, 0x5ab2, 0xc5d5,
+    0x5aa7, 0xc5d0, 0x5a9b, 0xc5cb, 0x5a90, 0xc5c6, 0x5a84, 0xc5c1,
+    0x5a79, 0xc5bb, 0x5a6e, 0xc5b6, 0x5a62, 0xc5b1, 0x5a57, 0xc5ac,
+    0x5a4b, 0xc5a7, 0x5a40, 0xc5a1, 0x5a34, 0xc59c, 0x5a29, 0xc597,
+    0x5a1d, 0xc592, 0x5a12, 0xc58d, 0x5a06, 0xc588, 0x59fb, 0xc583,
+    0x59ef, 0xc57e, 0x59e4, 0xc578, 0x59d8, 0xc573, 0x59cd, 0xc56e,
+    0x59c1, 0xc569, 0x59b6, 0xc564, 0x59aa, 0xc55f, 0x599f, 0xc55a,
+    0x5993, 0xc555, 0x5988, 0xc550, 0x597c, 0xc54b, 0x5971, 0xc546,
+    0x5965, 0xc541, 0x595a, 0xc53c, 0x594e, 0xc537, 0x5943, 0xc532,
+    0x5937, 0xc52d, 0x592c, 0xc528, 0x5920, 0xc523, 0x5914, 0xc51e,
+    0x5909, 0xc51a, 0x58fd, 0xc515, 0x58f2, 0xc510, 0x58e6, 0xc50b,
+    0x58db, 0xc506, 0x58cf, 0xc501, 0x58c3, 0xc4fc, 0x58b8, 0xc4f7,
+    0x58ac, 0xc4f2, 0x58a1, 0xc4ee, 0x5895, 0xc4e9, 0x5889, 0xc4e4,
+    0x587e, 0xc4df, 0x5872, 0xc4da, 0x5867, 0xc4d6, 0x585b, 0xc4d1,
+    0x584f, 0xc4cc, 0x5844, 0xc4c7, 0x5838, 0xc4c2, 0x582d, 0xc4be,
+    0x5821, 0xc4b9, 0x5815, 0xc4b4, 0x580a, 0xc4b0, 0x57fe, 0xc4ab,
+    0x57f2, 0xc4a6, 0x57e7, 0xc4a1, 0x57db, 0xc49d, 0x57cf, 0xc498,
+    0x57c4, 0xc493, 0x57b8, 0xc48f, 0x57ac, 0xc48a, 0x57a1, 0xc485,
+    0x5795, 0xc481, 0x5789, 0xc47c, 0x577e, 0xc478, 0x5772, 0xc473,
+    0x5766, 0xc46e, 0x575b, 0xc46a, 0x574f, 0xc465, 0x5743, 0xc461,
+    0x5737, 0xc45c, 0x572c, 0xc457, 0x5720, 0xc453, 0x5714, 0xc44e,
+    0x5709, 0xc44a, 0x56fd, 0xc445, 0x56f1, 0xc441, 0x56e5, 0xc43c,
+    0x56da, 0xc438, 0x56ce, 0xc433, 0x56c2, 0xc42f, 0x56b6, 0xc42a,
+    0x56ab, 0xc426, 0x569f, 0xc422, 0x5693, 0xc41d, 0x5687, 0xc419,
+    0x567c, 0xc414, 0x5670, 0xc410, 0x5664, 0xc40b, 0x5658, 0xc407,
+    0x564c, 0xc403, 0x5641, 0xc3fe, 0x5635, 0xc3fa, 0x5629, 0xc3f6,
+    0x561d, 0xc3f1, 0x5612, 0xc3ed, 0x5606, 0xc3e9, 0x55fa, 0xc3e4,
+    0x55ee, 0xc3e0, 0x55e2, 0xc3dc, 0x55d7, 0xc3d7, 0x55cb, 0xc3d3,
+    0x55bf, 0xc3cf, 0x55b3, 0xc3ca, 0x55a7, 0xc3c6, 0x559b, 0xc3c2,
+    0x5590, 0xc3be, 0x5584, 0xc3ba, 0x5578, 0xc3b5, 0x556c, 0xc3b1,
+    0x5560, 0xc3ad, 0x5554, 0xc3a9, 0x5549, 0xc3a5, 0x553d, 0xc3a0,
+    0x5531, 0xc39c, 0x5525, 0xc398, 0x5519, 0xc394, 0x550d, 0xc390,
+    0x5501, 0xc38c, 0x54f6, 0xc387, 0x54ea, 0xc383, 0x54de, 0xc37f,
+    0x54d2, 0xc37b, 0x54c6, 0xc377, 0x54ba, 0xc373, 0x54ae, 0xc36f,
+    0x54a2, 0xc36b, 0x5496, 0xc367, 0x548b, 0xc363, 0x547f, 0xc35f,
+    0x5473, 0xc35b, 0x5467, 0xc357, 0x545b, 0xc353, 0x544f, 0xc34f,
+    0x5443, 0xc34b, 0x5437, 0xc347, 0x542b, 0xc343, 0x541f, 0xc33f,
+    0x5413, 0xc33b, 0x5407, 0xc337, 0x53fb, 0xc333, 0x53f0, 0xc32f,
+    0x53e4, 0xc32b, 0x53d8, 0xc327, 0x53cc, 0xc323, 0x53c0, 0xc320,
+    0x53b4, 0xc31c, 0x53a8, 0xc318, 0x539c, 0xc314, 0x5390, 0xc310,
+    0x5384, 0xc30c, 0x5378, 0xc308, 0x536c, 0xc305, 0x5360, 0xc301,
+    0x5354, 0xc2fd, 0x5348, 0xc2f9, 0x533c, 0xc2f5, 0x5330, 0xc2f2,
+    0x5324, 0xc2ee, 0x5318, 0xc2ea, 0x530c, 0xc2e6, 0x5300, 0xc2e3,
+    0x52f4, 0xc2df, 0x52e8, 0xc2db, 0x52dc, 0xc2d8, 0x52d0, 0xc2d4,
+    0x52c4, 0xc2d0, 0x52b8, 0xc2cc, 0x52ac, 0xc2c9, 0x52a0, 0xc2c5,
+    0x5294, 0xc2c1, 0x5288, 0xc2be, 0x527c, 0xc2ba, 0x5270, 0xc2b7,
+    0x5264, 0xc2b3, 0x5258, 0xc2af, 0x524c, 0xc2ac, 0x5240, 0xc2a8,
+    0x5234, 0xc2a5, 0x5228, 0xc2a1, 0x521c, 0xc29d, 0x5210, 0xc29a,
+    0x5204, 0xc296, 0x51f7, 0xc293, 0x51eb, 0xc28f, 0x51df, 0xc28c,
+    0x51d3, 0xc288, 0x51c7, 0xc285, 0x51bb, 0xc281, 0x51af, 0xc27e,
+    0x51a3, 0xc27a, 0x5197, 0xc277, 0x518b, 0xc273, 0x517f, 0xc270,
+    0x5173, 0xc26d, 0x5167, 0xc269, 0x515a, 0xc266, 0x514e, 0xc262,
+    0x5142, 0xc25f, 0x5136, 0xc25c, 0x512a, 0xc258, 0x511e, 0xc255,
+    0x5112, 0xc251, 0x5106, 0xc24e, 0x50fa, 0xc24b, 0x50ed, 0xc247,
+    0x50e1, 0xc244, 0x50d5, 0xc241, 0x50c9, 0xc23e, 0x50bd, 0xc23a,
+    0x50b1, 0xc237, 0x50a5, 0xc234, 0x5099, 0xc230, 0x508c, 0xc22d,
+    0x5080, 0xc22a, 0x5074, 0xc227, 0x5068, 0xc223, 0x505c, 0xc220,
+    0x5050, 0xc21d, 0x5044, 0xc21a, 0x5037, 0xc217, 0x502b, 0xc213,
+    0x501f, 0xc210, 0x5013, 0xc20d, 0x5007, 0xc20a, 0x4ffb, 0xc207,
+    0x4fee, 0xc204, 0x4fe2, 0xc201, 0x4fd6, 0xc1fd, 0x4fca, 0xc1fa,
+    0x4fbe, 0xc1f7, 0x4fb2, 0xc1f4, 0x4fa5, 0xc1f1, 0x4f99, 0xc1ee,
+    0x4f8d, 0xc1eb, 0x4f81, 0xc1e8, 0x4f75, 0xc1e5, 0x4f68, 0xc1e2,
+    0x4f5c, 0xc1df, 0x4f50, 0xc1dc, 0x4f44, 0xc1d9, 0x4f38, 0xc1d6,
+    0x4f2b, 0xc1d3, 0x4f1f, 0xc1d0, 0x4f13, 0xc1cd, 0x4f07, 0xc1ca,
+    0x4efb, 0xc1c7, 0x4eee, 0xc1c4, 0x4ee2, 0xc1c1, 0x4ed6, 0xc1be,
+    0x4eca, 0xc1bb, 0x4ebd, 0xc1b8, 0x4eb1, 0xc1b6, 0x4ea5, 0xc1b3,
+    0x4e99, 0xc1b0, 0x4e8c, 0xc1ad, 0x4e80, 0xc1aa, 0x4e74, 0xc1a7,
+    0x4e68, 0xc1a4, 0x4e5c, 0xc1a2, 0x4e4f, 0xc19f, 0x4e43, 0xc19c,
+    0x4e37, 0xc199, 0x4e2b, 0xc196, 0x4e1e, 0xc194, 0x4e12, 0xc191,
+    0x4e06, 0xc18e, 0x4df9, 0xc18b, 0x4ded, 0xc189, 0x4de1, 0xc186,
+    0x4dd5, 0xc183, 0x4dc8, 0xc180, 0x4dbc, 0xc17e, 0x4db0, 0xc17b,
+    0x4da4, 0xc178, 0x4d97, 0xc176, 0x4d8b, 0xc173, 0x4d7f, 0xc170,
+    0x4d72, 0xc16e, 0x4d66, 0xc16b, 0x4d5a, 0xc168, 0x4d4e, 0xc166,
+    0x4d41, 0xc163, 0x4d35, 0xc161, 0x4d29, 0xc15e, 0x4d1c, 0xc15b,
+    0x4d10, 0xc159, 0x4d04, 0xc156, 0x4cf8, 0xc154, 0x4ceb, 0xc151,
+    0x4cdf, 0xc14f, 0x4cd3, 0xc14c, 0x4cc6, 0xc14a, 0x4cba, 0xc147,
+    0x4cae, 0xc145, 0x4ca1, 0xc142, 0x4c95, 0xc140, 0x4c89, 0xc13d,
+    0x4c7c, 0xc13b, 0x4c70, 0xc138, 0x4c64, 0xc136, 0x4c57, 0xc134,
+    0x4c4b, 0xc131, 0x4c3f, 0xc12f, 0x4c32, 0xc12c, 0x4c26, 0xc12a,
+    0x4c1a, 0xc128, 0x4c0d, 0xc125, 0x4c01, 0xc123, 0x4bf5, 0xc120,
+    0x4be8, 0xc11e, 0x4bdc, 0xc11c, 0x4bd0, 0xc119, 0x4bc3, 0xc117,
+    0x4bb7, 0xc115, 0x4bab, 0xc113, 0x4b9e, 0xc110, 0x4b92, 0xc10e,
+    0x4b85, 0xc10c, 0x4b79, 0xc109, 0x4b6d, 0xc107, 0x4b60, 0xc105,
+    0x4b54, 0xc103, 0x4b48, 0xc100, 0x4b3b, 0xc0fe, 0x4b2f, 0xc0fc,
+    0x4b23, 0xc0fa, 0x4b16, 0xc0f8, 0x4b0a, 0xc0f6, 0x4afd, 0xc0f3,
+    0x4af1, 0xc0f1, 0x4ae5, 0xc0ef, 0x4ad8, 0xc0ed, 0x4acc, 0xc0eb,
+    0x4ac0, 0xc0e9, 0x4ab3, 0xc0e7, 0x4aa7, 0xc0e4, 0x4a9a, 0xc0e2,
+    0x4a8e, 0xc0e0, 0x4a82, 0xc0de, 0x4a75, 0xc0dc, 0x4a69, 0xc0da,
+    0x4a5c, 0xc0d8, 0x4a50, 0xc0d6, 0x4a44, 0xc0d4, 0x4a37, 0xc0d2,
+    0x4a2b, 0xc0d0, 0x4a1e, 0xc0ce, 0x4a12, 0xc0cc, 0x4a06, 0xc0ca,
+    0x49f9, 0xc0c8, 0x49ed, 0xc0c6, 0x49e0, 0xc0c4, 0x49d4, 0xc0c2,
+    0x49c7, 0xc0c0, 0x49bb, 0xc0be, 0x49af, 0xc0bd, 0x49a2, 0xc0bb,
+    0x4996, 0xc0b9, 0x4989, 0xc0b7, 0x497d, 0xc0b5, 0x4970, 0xc0b3,
+    0x4964, 0xc0b1, 0x4958, 0xc0af, 0x494b, 0xc0ae, 0x493f, 0xc0ac,
+    0x4932, 0xc0aa, 0x4926, 0xc0a8, 0x4919, 0xc0a6, 0x490d, 0xc0a5,
+    0x4901, 0xc0a3, 0x48f4, 0xc0a1, 0x48e8, 0xc09f, 0x48db, 0xc09e,
+    0x48cf, 0xc09c, 0x48c2, 0xc09a, 0x48b6, 0xc098, 0x48a9, 0xc097,
+    0x489d, 0xc095, 0x4891, 0xc093, 0x4884, 0xc092, 0x4878, 0xc090,
+    0x486b, 0xc08e, 0x485f, 0xc08d, 0x4852, 0xc08b, 0x4846, 0xc089,
+    0x4839, 0xc088, 0x482d, 0xc086, 0x4820, 0xc085, 0x4814, 0xc083,
+    0x4807, 0xc081, 0x47fb, 0xc080, 0x47ef, 0xc07e, 0x47e2, 0xc07d,
+    0x47d6, 0xc07b, 0x47c9, 0xc07a, 0x47bd, 0xc078, 0x47b0, 0xc077,
+    0x47a4, 0xc075, 0x4797, 0xc074, 0x478b, 0xc072, 0x477e, 0xc071,
+    0x4772, 0xc06f, 0x4765, 0xc06e, 0x4759, 0xc06c, 0x474c, 0xc06b,
+    0x4740, 0xc069, 0x4733, 0xc068, 0x4727, 0xc067, 0x471a, 0xc065,
+    0x470e, 0xc064, 0x4701, 0xc062, 0x46f5, 0xc061, 0x46e8, 0xc060,
+    0x46dc, 0xc05e, 0x46cf, 0xc05d, 0x46c3, 0xc05c, 0x46b6, 0xc05a,
+    0x46aa, 0xc059, 0x469d, 0xc058, 0x4691, 0xc056, 0x4684, 0xc055,
+    0x4678, 0xc054, 0x466b, 0xc053, 0x465f, 0xc051, 0x4652, 0xc050,
+    0x4646, 0xc04f, 0x4639, 0xc04e, 0x462d, 0xc04c, 0x4620, 0xc04b,
+    0x4614, 0xc04a, 0x4607, 0xc049, 0x45fb, 0xc048, 0x45ee, 0xc047,
+    0x45e2, 0xc045, 0x45d5, 0xc044, 0x45c9, 0xc043, 0x45bc, 0xc042,
+    0x45b0, 0xc041, 0x45a3, 0xc040, 0x4597, 0xc03f, 0x458a, 0xc03d,
+    0x457e, 0xc03c, 0x4571, 0xc03b, 0x4565, 0xc03a, 0x4558, 0xc039,
+    0x454c, 0xc038, 0x453f, 0xc037, 0x4533, 0xc036, 0x4526, 0xc035,
+    0x451a, 0xc034, 0x450d, 0xc033, 0x4500, 0xc032, 0x44f4, 0xc031,
+    0x44e7, 0xc030, 0x44db, 0xc02f, 0x44ce, 0xc02e, 0x44c2, 0xc02d,
+    0x44b5, 0xc02c, 0x44a9, 0xc02b, 0x449c, 0xc02b, 0x4490, 0xc02a,
+    0x4483, 0xc029, 0x4477, 0xc028, 0x446a, 0xc027, 0x445e, 0xc026,
+    0x4451, 0xc025, 0x4444, 0xc024, 0x4438, 0xc024, 0x442b, 0xc023,
+    0x441f, 0xc022, 0x4412, 0xc021, 0x4406, 0xc020, 0x43f9, 0xc020,
+    0x43ed, 0xc01f, 0x43e0, 0xc01e, 0x43d4, 0xc01d, 0x43c7, 0xc01d,
+    0x43bb, 0xc01c, 0x43ae, 0xc01b, 0x43a1, 0xc01a, 0x4395, 0xc01a,
+    0x4388, 0xc019, 0x437c, 0xc018, 0x436f, 0xc018, 0x4363, 0xc017,
+    0x4356, 0xc016, 0x434a, 0xc016, 0x433d, 0xc015, 0x4330, 0xc014,
+    0x4324, 0xc014, 0x4317, 0xc013, 0x430b, 0xc013, 0x42fe, 0xc012,
+    0x42f2, 0xc011, 0x42e5, 0xc011, 0x42d9, 0xc010, 0x42cc, 0xc010,
+    0x42c0, 0xc00f, 0x42b3, 0xc00f, 0x42a6, 0xc00e, 0x429a, 0xc00e,
+    0x428d, 0xc00d, 0x4281, 0xc00d, 0x4274, 0xc00c, 0x4268, 0xc00c,
+    0x425b, 0xc00b, 0x424e, 0xc00b, 0x4242, 0xc00a, 0x4235, 0xc00a,
+    0x4229, 0xc009, 0x421c, 0xc009, 0x4210, 0xc009, 0x4203, 0xc008,
+    0x41f7, 0xc008, 0x41ea, 0xc007, 0x41dd, 0xc007, 0x41d1, 0xc007,
+    0x41c4, 0xc006, 0x41b8, 0xc006, 0x41ab, 0xc006, 0x419f, 0xc005,
+    0x4192, 0xc005, 0x4186, 0xc005, 0x4179, 0xc004, 0x416c, 0xc004,
+    0x4160, 0xc004, 0x4153, 0xc004, 0x4147, 0xc003, 0x413a, 0xc003,
+    0x412e, 0xc003, 0x4121, 0xc003, 0x4114, 0xc002, 0x4108, 0xc002,
+    0x40fb, 0xc002, 0x40ef, 0xc002, 0x40e2, 0xc002, 0x40d6, 0xc001,
+    0x40c9, 0xc001, 0x40bc, 0xc001, 0x40b0, 0xc001, 0x40a3, 0xc001,
+    0x4097, 0xc001, 0x408a, 0xc001, 0x407e, 0xc000, 0x4071, 0xc000,
+    0x4065, 0xc000, 0x4058, 0xc000, 0x404b, 0xc000, 0x403f, 0xc000,
+    0x4032, 0xc000, 0x4026, 0xc000, 0x4019, 0xc000, 0x400d, 0xc000,
 };
 
 /**    
 * @brief  Initialization function for the Q15 RFFT/RIFFT.   
 * @param[in, out] *S             points to an instance of the Q15 RFFT/RIFFT structure.   
-* @param[in]      *S_CFFT        points to an instance of the Q15 CFFT/CIFFT structure.   
 * @param[in]      fftLenReal     length of the FFT.   
 * @param[in]      ifftFlagR      flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform.   
 * @param[in]      bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.   
@@ -2149,7 +2147,7 @@
 *    
 * \par Description:   
 * \par   
-* The parameter <code>fftLenReal</code>	Specifies length of RFFT/RIFFT Process. Supported FFT Lengths are 128, 512, 2048.    
+* The parameter <code>fftLenReal</code>	Specifies length of RFFT/RIFFT Process. Supported FFT Lengths are 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192.    
 * \par    
 * The parameter <code>ifftFlagR</code> controls whether a forward or inverse transform is computed.    
 * Set(=1) ifftFlagR to calculate RIFFT, otherwise RFFT is calculated.    
@@ -2159,76 +2157,79 @@
 * \par    
 * This function also initializes Twiddle factor table.     
 */
+arm_status arm_rfft_init_q15(
+    arm_rfft_instance_q15 * S,
+    uint32_t fftLenReal,
+    uint32_t ifftFlagR,
+    uint32_t bitReverseFlag)
+{
+    /*  Initialise the default arm status */
+    arm_status status = ARM_MATH_SUCCESS;
 
-arm_status arm_rfft_init_q15(
-  arm_rfft_instance_q15 * S,
-  arm_cfft_radix4_instance_q15 * S_CFFT,
-  uint32_t fftLenReal,
-  uint32_t ifftFlagR,
-  uint32_t bitReverseFlag)
-{
-
-  /*  Initialise the default arm status */
-  arm_status status = ARM_MATH_SUCCESS;
-
-  /*  Initialize the Real FFT length */
-  S->fftLenReal = (uint16_t) fftLenReal;
+    /*  Initialize the Real FFT length */
+    S->fftLenReal = (uint16_t) fftLenReal;
 
-  /*  Initialize the Complex FFT length */
-  S->fftLenBy2 = (uint16_t) fftLenReal / 2u;
+    /*  Initialize the Twiddle coefficientA pointer */
+    S->pTwiddleAReal = (q15_t *) realCoefAQ15;
 
-  /*  Initialize the Twiddle coefficientA pointer */
-  S->pTwiddleAReal = (q15_t *) realCoefAQ15;
+    /*  Initialize the Twiddle coefficientB pointer */
+    S->pTwiddleBReal = (q15_t *) realCoefBQ15;
 
-  /*  Initialize the Twiddle coefficientB pointer */
-  S->pTwiddleBReal = (q15_t *) realCoefBQ15;
+    /*  Initialize the Flag for selection of RFFT or RIFFT */
+    S->ifftFlagR = (uint8_t) ifftFlagR;
 
-  /*  Initialize the Flag for selection of RFFT or RIFFT */
-  S->ifftFlagR = (uint8_t) ifftFlagR;
-
-  /*  Initialize the Flag for calculation Bit reversal or not */
-  S->bitReverseFlagR = (uint8_t) bitReverseFlag;
+    /*  Initialize the Flag for calculation Bit reversal or not */
+    S->bitReverseFlagR = (uint8_t) bitReverseFlag;
 
-  /*  Initialization of coef modifier depending on the FFT length */
-  switch (S->fftLenReal)
-  {
-  case 8192:
-    S->twidCoefRModifier = 1u;
-    break;
-  case 2048u:
-    S->twidCoefRModifier = 4u;
-    break;
-  case 512u:
-    S->twidCoefRModifier = 16u;
-    break;
-  case 128u:
-    S->twidCoefRModifier = 64u;
-    break;
-  default:
-    /*  Reporting argument error if rfftSize is not valid value */
-    status = ARM_MATH_ARGUMENT_ERROR;
-    break;
-  }
+    /*  Initialization of coef modifier depending on the FFT length */
+    switch (S->fftLenReal)
+    {
+    case 8192u:
+        S->twidCoefRModifier = 1u;
+        S->pCfft = &arm_cfft_sR_q15_len4096;
+        break;
+    case 4096u:
+        S->twidCoefRModifier = 2u;
+        S->pCfft = &arm_cfft_sR_q15_len2048;
+        break;
+    case 2048u:
+        S->twidCoefRModifier = 4u;
+        S->pCfft = &arm_cfft_sR_q15_len1024;
+        break;
+    case 1024u:
+        S->twidCoefRModifier = 8u;
+        S->pCfft = &arm_cfft_sR_q15_len512;
+        break;
+    case 512u:
+        S->twidCoefRModifier = 16u;
+        S->pCfft = &arm_cfft_sR_q15_len256;
+        break;
+    case 256u:
+        S->twidCoefRModifier = 32u;
+        S->pCfft = &arm_cfft_sR_q15_len128;
+        break;
+    case 128u:
+        S->twidCoefRModifier = 64u;
+        S->pCfft = &arm_cfft_sR_q15_len64;
+        break;
+    case 64u:
+        S->twidCoefRModifier = 128u;
+        S->pCfft = &arm_cfft_sR_q15_len32;
+        break;
+    case 32u:
+        S->twidCoefRModifier = 256u;
+        S->pCfft = &arm_cfft_sR_q15_len16;
+        break;
+    default:
+        /*  Reporting argument error if rfftSize is not valid value */
+        status = ARM_MATH_ARGUMENT_ERROR;
+        break;
+    }
 
-  /* Init Complex FFT Instance */
-  S->pCfft = S_CFFT;
-
-  if(S->ifftFlagR)
-  {
-    /* Initializes the CIFFT Module for fftLenreal/2 length */
-    arm_cfft_radix4_init_q15(S->pCfft, S->fftLenBy2, 1u, 1u);
-  }
-  else
-  {
-    /* Initializes the CFFT Module for fftLenreal/2 length */
-    arm_cfft_radix4_init_q15(S->pCfft, S->fftLenBy2, 0u, 1u);
-  }
-
-  /* return the status of RFFT Init function */
-  return (status);
-
+    /* return the status of RFFT Init function */
+    return (status);
 }
 
-  /**    
-   * @} end of RealFFT group    
-   */
+/**    
+* @} end of RealFFT group    
+*/

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/TransformFunctions/arm_rfft_init_q31.c
--- a/cmsis_dsp/TransformFunctions/arm_rfft_init_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/TransformFunctions/arm_rfft_init_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013  
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_rfft_init_q31.c    
@@ -39,19 +39,21 @@
 * -------------------------------------------------------------------- */
 
 #include "arm_math.h"
+#include "arm_common_tables.h"
+#include "arm_const_structs.h"
 
 /**    
- * @ingroup groupTransforms    
- */
+* @ingroup groupTransforms    
+*/
 
 /**    
- * @addtogroup RealFFT    
- * @{    
- */
+* @addtogroup RealFFT    
+* @{    
+*/
 
 /**    
 * \par    
-* Generation floating point realCoefAQ31 array:    
+* Generation fixed-point realCoefAQ31 array in Q31 format:    
 * \par    
 * n = 4096    
 * <pre>for (i = 0; i < n; i++)    
@@ -66,2054 +68,2054 @@
 
 
 static const q31_t realCoefAQ31[8192] = {
-  0x40000000, 0xc0000000, 0x3ff36f02, 0xc000013c,
-  0x3fe6de05, 0xc00004ef, 0x3fda4d09, 0xc0000b1a,
-  0x3fcdbc0f, 0xc00013bd, 0x3fc12b16, 0xc0001ed8,
-  0x3fb49a1f, 0xc0002c6a, 0x3fa8092c, 0xc0003c74,
-  0x3f9b783c, 0xc0004ef5, 0x3f8ee750, 0xc00063ee,
-  0x3f825668, 0xc0007b5f, 0x3f75c585, 0xc0009547,
-  0x3f6934a8, 0xc000b1a7, 0x3f5ca3d0, 0xc000d07e,
-  0x3f5012fe, 0xc000f1ce, 0x3f438234, 0xc0011594,
-  0x3f36f170, 0xc0013bd3, 0x3f2a60b4, 0xc0016489,
-  0x3f1dd001, 0xc0018fb6, 0x3f113f56, 0xc001bd5c,
-  0x3f04aeb5, 0xc001ed78, 0x3ef81e1d, 0xc002200d,
-  0x3eeb8d8f, 0xc0025519, 0x3edefd0c, 0xc0028c9c,
-  0x3ed26c94, 0xc002c697, 0x3ec5dc28, 0xc003030a,
-  0x3eb94bc8, 0xc00341f4, 0x3eacbb74, 0xc0038356,
-  0x3ea02b2e, 0xc003c72f, 0x3e939af5, 0xc0040d80,
-  0x3e870aca, 0xc0045648, 0x3e7a7aae, 0xc004a188,
-  0x3e6deaa1, 0xc004ef3f, 0x3e615aa3, 0xc0053f6e,
-  0x3e54cab5, 0xc0059214, 0x3e483ad8, 0xc005e731,
-  0x3e3bab0b, 0xc0063ec6, 0x3e2f1b50, 0xc00698d3,
-  0x3e228ba7, 0xc006f556, 0x3e15fc11, 0xc0075452,
-  0x3e096c8d, 0xc007b5c4, 0x3dfcdd1d, 0xc00819ae,
-  0x3df04dc0, 0xc008800f, 0x3de3be78, 0xc008e8e8,
-  0x3dd72f45, 0xc0095438, 0x3dcaa027, 0xc009c1ff,
-  0x3dbe111e, 0xc00a323d, 0x3db1822c, 0xc00aa4f3,
-  0x3da4f351, 0xc00b1a20, 0x3d98648d, 0xc00b91c4,
-  0x3d8bd5e1, 0xc00c0be0, 0x3d7f474d, 0xc00c8872,
-  0x3d72b8d2, 0xc00d077c, 0x3d662a70, 0xc00d88fd,
-  0x3d599c28, 0xc00e0cf5, 0x3d4d0df9, 0xc00e9364,
-  0x3d407fe6, 0xc00f1c4a, 0x3d33f1ed, 0xc00fa7a8,
-  0x3d276410, 0xc010357c, 0x3d1ad650, 0xc010c5c7,
-  0x3d0e48ab, 0xc011588a, 0x3d01bb24, 0xc011edc3,
-  0x3cf52dbb, 0xc0128574, 0x3ce8a06f, 0xc0131f9b,
-  0x3cdc1342, 0xc013bc39, 0x3ccf8634, 0xc0145b4e,
-  0x3cc2f945, 0xc014fcda, 0x3cb66c77, 0xc015a0dd,
-  0x3ca9dfc8, 0xc0164757, 0x3c9d533b, 0xc016f047,
-  0x3c90c6cf, 0xc0179bae, 0x3c843a85, 0xc018498c,
-  0x3c77ae5e, 0xc018f9e1, 0x3c6b2259, 0xc019acac,
-  0x3c5e9678, 0xc01a61ee, 0x3c520aba, 0xc01b19a7,
-  0x3c457f21, 0xc01bd3d6, 0x3c38f3ac, 0xc01c907c,
-  0x3c2c685d, 0xc01d4f99, 0x3c1fdd34, 0xc01e112b,
-  0x3c135231, 0xc01ed535, 0x3c06c754, 0xc01f9bb5,
-  0x3bfa3c9f, 0xc02064ab, 0x3bedb212, 0xc0213018,
-  0x3be127ac, 0xc021fdfb, 0x3bd49d70, 0xc022ce54,
-  0x3bc8135c, 0xc023a124, 0x3bbb8973, 0xc024766a,
-  0x3baeffb3, 0xc0254e27, 0x3ba2761e, 0xc0262859,
-  0x3b95ecb4, 0xc0270502, 0x3b896375, 0xc027e421,
-  0x3b7cda63, 0xc028c5b6, 0x3b70517d, 0xc029a9c1,
-  0x3b63c8c4, 0xc02a9042, 0x3b574039, 0xc02b7939,
-  0x3b4ab7db, 0xc02c64a6, 0x3b3e2fac, 0xc02d5289,
-  0x3b31a7ac, 0xc02e42e2, 0x3b251fdc, 0xc02f35b1,
-  0x3b18983b, 0xc0302af5, 0x3b0c10cb, 0xc03122b0,
-  0x3aff898c, 0xc0321ce0, 0x3af3027e, 0xc0331986,
-  0x3ae67ba2, 0xc03418a2, 0x3ad9f4f8, 0xc0351a33,
-  0x3acd6e81, 0xc0361e3a, 0x3ac0e83d, 0xc03724b6,
-  0x3ab4622d, 0xc0382da8, 0x3aa7dc52, 0xc0393910,
-  0x3a9b56ab, 0xc03a46ed, 0x3a8ed139, 0xc03b573f,
-  0x3a824bfd, 0xc03c6a07, 0x3a75c6f8, 0xc03d7f44,
-  0x3a694229, 0xc03e96f6, 0x3a5cbd91, 0xc03fb11d,
-  0x3a503930, 0xc040cdba, 0x3a43b508, 0xc041eccc,
-  0x3a373119, 0xc0430e53, 0x3a2aad62, 0xc044324f,
-  0x3a1e29e5, 0xc04558c0, 0x3a11a6a3, 0xc04681a6,
-  0x3a05239a, 0xc047ad01, 0x39f8a0cd, 0xc048dad1,
-  0x39ec1e3b, 0xc04a0b16, 0x39df9be6, 0xc04b3dcf,
-  0x39d319cc, 0xc04c72fe, 0x39c697f0, 0xc04daaa1,
-  0x39ba1651, 0xc04ee4b8, 0x39ad94f0, 0xc0502145,
-  0x39a113cd, 0xc0516045, 0x399492ea, 0xc052a1bb,
-  0x39881245, 0xc053e5a5, 0x397b91e1, 0xc0552c03,
-  0x396f11bc, 0xc05674d6, 0x396291d9, 0xc057c01d,
-  0x39561237, 0xc0590dd8, 0x394992d7, 0xc05a5e07,
-  0x393d13b8, 0xc05bb0ab, 0x393094dd, 0xc05d05c3,
-  0x39241645, 0xc05e5d4e, 0x391797f0, 0xc05fb74e,
-  0x390b19e0, 0xc06113c2, 0x38fe9c15, 0xc06272aa,
-  0x38f21e8e, 0xc063d405, 0x38e5a14d, 0xc06537d4,
-  0x38d92452, 0xc0669e18, 0x38cca79e, 0xc06806ce,
-  0x38c02b31, 0xc06971f9, 0x38b3af0c, 0xc06adf97,
-  0x38a7332e, 0xc06c4fa8, 0x389ab799, 0xc06dc22e,
-  0x388e3c4d, 0xc06f3726, 0x3881c14b, 0xc070ae92,
-  0x38754692, 0xc0722871, 0x3868cc24, 0xc073a4c3,
-  0x385c5201, 0xc0752389, 0x384fd829, 0xc076a4c2,
-  0x38435e9d, 0xc078286e, 0x3836e55d, 0xc079ae8c,
-  0x382a6c6a, 0xc07b371e, 0x381df3c5, 0xc07cc223,
-  0x38117b6d, 0xc07e4f9b, 0x38050364, 0xc07fdf85,
-  0x37f88ba9, 0xc08171e2, 0x37ec143e, 0xc08306b2,
-  0x37df9d22, 0xc0849df4, 0x37d32657, 0xc08637a9,
-  0x37c6afdc, 0xc087d3d0, 0x37ba39b3, 0xc089726a,
-  0x37adc3db, 0xc08b1376, 0x37a14e55, 0xc08cb6f5,
-  0x3794d922, 0xc08e5ce5, 0x37886442, 0xc0900548,
-  0x377befb5, 0xc091b01d, 0x376f7b7d, 0xc0935d64,
-  0x37630799, 0xc0950d1d, 0x3756940a, 0xc096bf48,
-  0x374a20d0, 0xc09873e4, 0x373daded, 0xc09a2af3,
-  0x37313b60, 0xc09be473, 0x3724c92a, 0xc09da065,
-  0x3718574b, 0xc09f5ec8, 0x370be5c4, 0xc0a11f9d,
-  0x36ff7496, 0xc0a2e2e3, 0x36f303c0, 0xc0a4a89b,
-  0x36e69344, 0xc0a670c4, 0x36da2321, 0xc0a83b5e,
-  0x36cdb359, 0xc0aa086a, 0x36c143ec, 0xc0abd7e6,
-  0x36b4d4d9, 0xc0ada9d4, 0x36a86623, 0xc0af7e33,
-  0x369bf7c9, 0xc0b15502, 0x368f89cb, 0xc0b32e42,
-  0x36831c2b, 0xc0b509f3, 0x3676aee8, 0xc0b6e815,
-  0x366a4203, 0xc0b8c8a7, 0x365dd57d, 0xc0baabaa,
-  0x36516956, 0xc0bc911d, 0x3644fd8f, 0xc0be7901,
-  0x36389228, 0xc0c06355, 0x362c2721, 0xc0c25019,
-  0x361fbc7b, 0xc0c43f4d, 0x36135237, 0xc0c630f2,
-  0x3606e854, 0xc0c82506, 0x35fa7ed4, 0xc0ca1b8a,
-  0x35ee15b7, 0xc0cc147f, 0x35e1acfd, 0xc0ce0fe3,
-  0x35d544a7, 0xc0d00db6, 0x35c8dcb6, 0xc0d20dfa,
-  0x35bc7529, 0xc0d410ad, 0x35b00e02, 0xc0d615cf,
-  0x35a3a740, 0xc0d81d61, 0x359740e5, 0xc0da2762,
-  0x358adaf0, 0xc0dc33d2, 0x357e7563, 0xc0de42b2,
-  0x3572103d, 0xc0e05401, 0x3565ab80, 0xc0e267be,
-  0x3559472b, 0xc0e47deb, 0x354ce33f, 0xc0e69686,
-  0x35407fbd, 0xc0e8b190, 0x35341ca5, 0xc0eacf09,
-  0x3527b9f7, 0xc0eceef1, 0x351b57b5, 0xc0ef1147,
-  0x350ef5de, 0xc0f1360b, 0x35029473, 0xc0f35d3e,
-  0x34f63374, 0xc0f586df, 0x34e9d2e3, 0xc0f7b2ee,
-  0x34dd72be, 0xc0f9e16b, 0x34d11308, 0xc0fc1257,
-  0x34c4b3c0, 0xc0fe45b0, 0x34b854e7, 0xc1007b77,
-  0x34abf67e, 0xc102b3ac, 0x349f9884, 0xc104ee4f,
-  0x34933afa, 0xc1072b5f, 0x3486dde1, 0xc1096add,
-  0x347a8139, 0xc10bacc8, 0x346e2504, 0xc10df120,
-  0x3461c940, 0xc11037e6, 0x34556def, 0xc1128119,
-  0x34491311, 0xc114ccb9, 0x343cb8a7, 0xc1171ac6,
-  0x34305eb0, 0xc1196b3f, 0x3424052f, 0xc11bbe26,
-  0x3417ac22, 0xc11e1379, 0x340b538b, 0xc1206b39,
-  0x33fefb6a, 0xc122c566, 0x33f2a3bf, 0xc12521ff,
-  0x33e64c8c, 0xc1278104, 0x33d9f5cf, 0xc129e276,
-  0x33cd9f8b, 0xc12c4653, 0x33c149bf, 0xc12eac9d,
-  0x33b4f46c, 0xc1311553, 0x33a89f92, 0xc1338075,
-  0x339c4b32, 0xc135ee02, 0x338ff74d, 0xc1385dfb,
-  0x3383a3e2, 0xc13ad060, 0x337750f2, 0xc13d4530,
-  0x336afe7e, 0xc13fbc6c, 0x335eac86, 0xc1423613,
-  0x33525b0b, 0xc144b225, 0x33460a0d, 0xc14730a3,
-  0x3339b98d, 0xc149b18b, 0x332d698a, 0xc14c34df,
-  0x33211a07, 0xc14eba9d, 0x3314cb02, 0xc15142c6,
-  0x33087c7d, 0xc153cd5a, 0x32fc2e77, 0xc1565a58,
-  0x32efe0f2, 0xc158e9c1, 0x32e393ef, 0xc15b7b94,
-  0x32d7476c, 0xc15e0fd1, 0x32cafb6b, 0xc160a678,
-  0x32beafed, 0xc1633f8a, 0x32b264f2, 0xc165db05,
-  0x32a61a7a, 0xc16878eb, 0x3299d085, 0xc16b193a,
-  0x328d8715, 0xc16dbbf3, 0x32813e2a, 0xc1706115,
-  0x3274f5c3, 0xc17308a1, 0x3268ade3, 0xc175b296,
-  0x325c6688, 0xc1785ef4, 0x32501fb5, 0xc17b0dbb,
-  0x3243d968, 0xc17dbeec, 0x323793a3, 0xc1807285,
-  0x322b4e66, 0xc1832888, 0x321f09b1, 0xc185e0f3,
-  0x3212c585, 0xc1889bc6, 0x320681e3, 0xc18b5903,
-  0x31fa3ecb, 0xc18e18a7, 0x31edfc3d, 0xc190dab4,
-  0x31e1ba3a, 0xc1939f29, 0x31d578c2, 0xc1966606,
-  0x31c937d6, 0xc1992f4c, 0x31bcf777, 0xc19bfaf9,
-  0x31b0b7a4, 0xc19ec90d, 0x31a4785e, 0xc1a1998a,
-  0x319839a6, 0xc1a46c6e, 0x318bfb7d, 0xc1a741b9,
-  0x317fbde2, 0xc1aa196c, 0x317380d6, 0xc1acf386,
-  0x31674459, 0xc1afd007, 0x315b086d, 0xc1b2aef0,
-  0x314ecd11, 0xc1b5903f, 0x31429247, 0xc1b873f5,
-  0x3136580d, 0xc1bb5a11, 0x312a1e66, 0xc1be4294,
-  0x311de551, 0xc1c12d7e, 0x3111accf, 0xc1c41ace,
-  0x310574e0, 0xc1c70a84, 0x30f93d86, 0xc1c9fca0,
-  0x30ed06bf, 0xc1ccf122, 0x30e0d08d, 0xc1cfe80a,
-  0x30d49af1, 0xc1d2e158, 0x30c865ea, 0xc1d5dd0c,
-  0x30bc317a, 0xc1d8db25, 0x30affda0, 0xc1dbdba3,
-  0x30a3ca5d, 0xc1dede87, 0x309797b2, 0xc1e1e3d0,
-  0x308b659f, 0xc1e4eb7e, 0x307f3424, 0xc1e7f591,
-  0x30730342, 0xc1eb0209, 0x3066d2fa, 0xc1ee10e5,
-  0x305aa34c, 0xc1f12227, 0x304e7438, 0xc1f435cc,
-  0x304245c0, 0xc1f74bd6, 0x303617e2, 0xc1fa6445,
-  0x3029eaa1, 0xc1fd7f17, 0x301dbdfb, 0xc2009c4e,
-  0x301191f3, 0xc203bbe8, 0x30056687, 0xc206dde6,
-  0x2ff93bba, 0xc20a0248, 0x2fed118a, 0xc20d290d,
-  0x2fe0e7f9, 0xc2105236, 0x2fd4bf08, 0xc2137dc2,
-  0x2fc896b5, 0xc216abb1, 0x2fbc6f03, 0xc219dc03,
-  0x2fb047f2, 0xc21d0eb8, 0x2fa42181, 0xc22043d0,
-  0x2f97fbb2, 0xc2237b4b, 0x2f8bd685, 0xc226b528,
-  0x2f7fb1fa, 0xc229f167, 0x2f738e12, 0xc22d3009,
-  0x2f676ace, 0xc230710d, 0x2f5b482d, 0xc233b473,
-  0x2f4f2630, 0xc236fa3b, 0x2f4304d8, 0xc23a4265,
-  0x2f36e426, 0xc23d8cf1, 0x2f2ac419, 0xc240d9de,
-  0x2f1ea4b2, 0xc244292c, 0x2f1285f2, 0xc2477adc,
-  0x2f0667d9, 0xc24aceed, 0x2efa4a67, 0xc24e255e,
-  0x2eee2d9d, 0xc2517e31, 0x2ee2117c, 0xc254d965,
-  0x2ed5f604, 0xc25836f9, 0x2ec9db35, 0xc25b96ee,
-  0x2ebdc110, 0xc25ef943, 0x2eb1a796, 0xc2625df8,
-  0x2ea58ec6, 0xc265c50e, 0x2e9976a1, 0xc2692e83,
-  0x2e8d5f29, 0xc26c9a58, 0x2e81485c, 0xc270088e,
-  0x2e75323c, 0xc2737922, 0x2e691cc9, 0xc276ec16,
-  0x2e5d0804, 0xc27a616a, 0x2e50f3ed, 0xc27dd91c,
-  0x2e44e084, 0xc281532e, 0x2e38cdcb, 0xc284cf9f,
-  0x2e2cbbc1, 0xc2884e6e, 0x2e20aa67, 0xc28bcf9c,
-  0x2e1499bd, 0xc28f5329, 0x2e0889c4, 0xc292d914,
-  0x2dfc7a7c, 0xc296615d, 0x2df06be6, 0xc299ec05,
-  0x2de45e03, 0xc29d790a, 0x2dd850d2, 0xc2a1086d,
-  0x2dcc4454, 0xc2a49a2e, 0x2dc0388a, 0xc2a82e4d,
-  0x2db42d74, 0xc2abc4c9, 0x2da82313, 0xc2af5da2,
-  0x2d9c1967, 0xc2b2f8d8, 0x2d901070, 0xc2b6966c,
-  0x2d84082f, 0xc2ba365c, 0x2d7800a5, 0xc2bdd8a9,
-  0x2d6bf9d1, 0xc2c17d52, 0x2d5ff3b5, 0xc2c52459,
-  0x2d53ee51, 0xc2c8cdbb, 0x2d47e9a5, 0xc2cc7979,
-  0x2d3be5b1, 0xc2d02794, 0x2d2fe277, 0xc2d3d80a,
-  0x2d23dff7, 0xc2d78add, 0x2d17de31, 0xc2db400a,
-  0x2d0bdd25, 0xc2def794, 0x2cffdcd4, 0xc2e2b178,
-  0x2cf3dd3f, 0xc2e66db8, 0x2ce7de66, 0xc2ea2c53,
-  0x2cdbe04a, 0xc2eded49, 0x2ccfe2ea, 0xc2f1b099,
-  0x2cc3e648, 0xc2f57644, 0x2cb7ea63, 0xc2f93e4a,
-  0x2cabef3d, 0xc2fd08a9, 0x2c9ff4d6, 0xc300d563,
-  0x2c93fb2e, 0xc304a477, 0x2c880245, 0xc30875e5,
-  0x2c7c0a1d, 0xc30c49ad, 0x2c7012b5, 0xc3101fce,
-  0x2c641c0e, 0xc313f848, 0x2c582629, 0xc317d31c,
-  0x2c4c3106, 0xc31bb049, 0x2c403ca5, 0xc31f8fcf,
-  0x2c344908, 0xc32371ae, 0x2c28562d, 0xc32755e5,
-  0x2c1c6417, 0xc32b3c75, 0x2c1072c4, 0xc32f255e,
-  0x2c048237, 0xc333109e, 0x2bf8926f, 0xc336fe37,
-  0x2beca36c, 0xc33aee27, 0x2be0b52f, 0xc33ee070,
-  0x2bd4c7ba, 0xc342d510, 0x2bc8db0b, 0xc346cc07,
-  0x2bbcef23, 0xc34ac556, 0x2bb10404, 0xc34ec0fc,
-  0x2ba519ad, 0xc352bef9, 0x2b99301f, 0xc356bf4d,
-  0x2b8d475b, 0xc35ac1f7, 0x2b815f60, 0xc35ec6f8,
-  0x2b75782f, 0xc362ce50, 0x2b6991ca, 0xc366d7fd,
-  0x2b5dac2f, 0xc36ae401, 0x2b51c760, 0xc36ef25b,
-  0x2b45e35d, 0xc373030a, 0x2b3a0027, 0xc377160f,
-  0x2b2e1dbe, 0xc37b2b6a, 0x2b223c22, 0xc37f4319,
-  0x2b165b54, 0xc3835d1e, 0x2b0a7b54, 0xc3877978,
-  0x2afe9c24, 0xc38b9827, 0x2af2bdc3, 0xc38fb92a,
-  0x2ae6e031, 0xc393dc82, 0x2adb0370, 0xc398022f,
-  0x2acf277f, 0xc39c2a2f, 0x2ac34c60, 0xc3a05484,
-  0x2ab77212, 0xc3a4812c, 0x2aab9896, 0xc3a8b028,
-  0x2a9fbfed, 0xc3ace178, 0x2a93e817, 0xc3b1151b,
-  0x2a881114, 0xc3b54b11, 0x2a7c3ae5, 0xc3b9835a,
-  0x2a70658a, 0xc3bdbdf6, 0x2a649105, 0xc3c1fae5,
-  0x2a58bd54, 0xc3c63a26, 0x2a4cea79, 0xc3ca7bba,
-  0x2a411874, 0xc3cebfa0, 0x2a354746, 0xc3d305d8,
-  0x2a2976ef, 0xc3d74e62, 0x2a1da770, 0xc3db993e,
-  0x2a11d8c8, 0xc3dfe66c, 0x2a060af9, 0xc3e435ea,
-  0x29fa3e03, 0xc3e887bb, 0x29ee71e6, 0xc3ecdbdc,
-  0x29e2a6a3, 0xc3f1324e, 0x29d6dc3b, 0xc3f58b10,
-  0x29cb12ad, 0xc3f9e624, 0x29bf49fa, 0xc3fe4388,
-  0x29b38223, 0xc402a33c, 0x29a7bb28, 0xc4070540,
-  0x299bf509, 0xc40b6994, 0x29902fc7, 0xc40fd037,
-  0x29846b63, 0xc414392b, 0x2978a7dd, 0xc418a46d,
-  0x296ce535, 0xc41d11ff, 0x2961236c, 0xc42181e0,
-  0x29556282, 0xc425f410, 0x2949a278, 0xc42a688f,
-  0x293de34e, 0xc42edf5c, 0x29322505, 0xc4335877,
-  0x2926679c, 0xc437d3e1, 0x291aab16, 0xc43c5199,
-  0x290eef71, 0xc440d19e, 0x290334af, 0xc44553f2,
-  0x28f77acf, 0xc449d892, 0x28ebc1d3, 0xc44e5f80,
-  0x28e009ba, 0xc452e8bc, 0x28d45286, 0xc4577444,
-  0x28c89c37, 0xc45c0219, 0x28bce6cd, 0xc460923b,
-  0x28b13248, 0xc46524a9, 0x28a57ea9, 0xc469b963,
-  0x2899cbf1, 0xc46e5069, 0x288e1a20, 0xc472e9bc,
-  0x28826936, 0xc477855a, 0x2876b934, 0xc47c2344,
-  0x286b0a1a, 0xc480c379, 0x285f5be9, 0xc48565f9,
-  0x2853aea1, 0xc48a0ac4, 0x28480243, 0xc48eb1db,
-  0x283c56cf, 0xc4935b3c, 0x2830ac45, 0xc49806e7,
-  0x282502a7, 0xc49cb4dd, 0x281959f4, 0xc4a1651c,
-  0x280db22d, 0xc4a617a6, 0x28020b52, 0xc4aacc7a,
-  0x27f66564, 0xc4af8397, 0x27eac063, 0xc4b43cfd,
-  0x27df1c50, 0xc4b8f8ad, 0x27d3792b, 0xc4bdb6a6,
-  0x27c7d6f4, 0xc4c276e8, 0x27bc35ad, 0xc4c73972,
-  0x27b09555, 0xc4cbfe45, 0x27a4f5ed, 0xc4d0c560,
-  0x27995776, 0xc4d58ec3, 0x278db9ef, 0xc4da5a6f,
-  0x27821d59, 0xc4df2862, 0x277681b6, 0xc4e3f89c,
-  0x276ae704, 0xc4e8cb1e, 0x275f4d45, 0xc4ed9fe7,
-  0x2753b479, 0xc4f276f7, 0x27481ca1, 0xc4f7504e,
-  0x273c85bc, 0xc4fc2bec, 0x2730efcc, 0xc50109d0,
-  0x27255ad1, 0xc505e9fb, 0x2719c6cb, 0xc50acc6b,
-  0x270e33bb, 0xc50fb121, 0x2702a1a1, 0xc514981d,
-  0x26f7107e, 0xc519815f, 0x26eb8052, 0xc51e6ce6,
-  0x26dff11d, 0xc5235ab2, 0x26d462e1, 0xc5284ac3,
-  0x26c8d59c, 0xc52d3d18, 0x26bd4951, 0xc53231b3,
-  0x26b1bdff, 0xc5372891, 0x26a633a6, 0xc53c21b4,
-  0x269aaa48, 0xc5411d1b, 0x268f21e5, 0xc5461ac6,
-  0x26839a7c, 0xc54b1ab4, 0x26781410, 0xc5501ce5,
-  0x266c8e9f, 0xc555215a, 0x26610a2a, 0xc55a2812,
-  0x265586b3, 0xc55f310d, 0x264a0438, 0xc5643c4a,
-  0x263e82bc, 0xc56949ca, 0x2633023e, 0xc56e598c,
-  0x262782be, 0xc5736b90, 0x261c043d, 0xc5787fd6,
-  0x261086bc, 0xc57d965d, 0x26050a3b, 0xc582af26,
-  0x25f98ebb, 0xc587ca31, 0x25ee143b, 0xc58ce77c,
-  0x25e29abc, 0xc5920708, 0x25d72240, 0xc59728d5,
-  0x25cbaac5, 0xc59c4ce3, 0x25c0344d, 0xc5a17330,
-  0x25b4bed8, 0xc5a69bbe, 0x25a94a67, 0xc5abc68c,
-  0x259dd6f9, 0xc5b0f399, 0x25926490, 0xc5b622e6,
-  0x2586f32c, 0xc5bb5472, 0x257b82cd, 0xc5c0883d,
-  0x25701374, 0xc5c5be47, 0x2564a521, 0xc5caf690,
-  0x255937d5, 0xc5d03118, 0x254dcb8f, 0xc5d56ddd,
-  0x25426051, 0xc5daace1, 0x2536f61b, 0xc5dfee22,
-  0x252b8cee, 0xc5e531a1, 0x252024c9, 0xc5ea775e,
-  0x2514bdad, 0xc5efbf58, 0x2509579b, 0xc5f5098f,
-  0x24fdf294, 0xc5fa5603, 0x24f28e96, 0xc5ffa4b3,
-  0x24e72ba4, 0xc604f5a0, 0x24dbc9bd, 0xc60a48c9,
-  0x24d068e2, 0xc60f9e2e, 0x24c50914, 0xc614f5cf,
-  0x24b9aa52, 0xc61a4fac, 0x24ae4c9d, 0xc61fabc4,
-  0x24a2eff6, 0xc6250a18, 0x2497945d, 0xc62a6aa6,
-  0x248c39d3, 0xc62fcd6f, 0x2480e057, 0xc6353273,
-  0x247587eb, 0xc63a99b1, 0x246a308f, 0xc6400329,
-  0x245eda43, 0xc6456edb, 0x24538507, 0xc64adcc7,
-  0x244830dd, 0xc6504ced, 0x243cddc4, 0xc655bf4c,
-  0x24318bbe, 0xc65b33e4, 0x24263ac9, 0xc660aab5,
-  0x241aeae8, 0xc66623be, 0x240f9c1a, 0xc66b9f01,
-  0x24044e60, 0xc6711c7b, 0x23f901ba, 0xc6769c2e,
-  0x23edb628, 0xc67c1e18, 0x23e26bac, 0xc681a23a,
-  0x23d72245, 0xc6872894, 0x23cbd9f4, 0xc68cb124,
-  0x23c092b9, 0xc6923bec, 0x23b54c95, 0xc697c8eb,
-  0x23aa0788, 0xc69d5820, 0x239ec393, 0xc6a2e98b,
-  0x239380b6, 0xc6a87d2d, 0x23883ef2, 0xc6ae1304,
-  0x237cfe47, 0xc6b3ab12, 0x2371beb5, 0xc6b94554,
-  0x2366803c, 0xc6bee1cd, 0x235b42df, 0xc6c4807a,
-  0x2350069b, 0xc6ca215c, 0x2344cb73, 0xc6cfc472,
-  0x23399167, 0xc6d569be, 0x232e5876, 0xc6db113d,
-  0x232320a2, 0xc6e0baf0, 0x2317e9eb, 0xc6e666d7,
-  0x230cb451, 0xc6ec14f2, 0x23017fd5, 0xc6f1c540,
-  0x22f64c77, 0xc6f777c1, 0x22eb1a37, 0xc6fd2c75,
-  0x22dfe917, 0xc702e35c, 0x22d4b916, 0xc7089c75,
-  0x22c98a35, 0xc70e57c0, 0x22be5c74, 0xc714153e,
-  0x22b32fd4, 0xc719d4ed, 0x22a80456, 0xc71f96ce,
-  0x229cd9f8, 0xc7255ae0, 0x2291b0bd, 0xc72b2123,
-  0x228688a4, 0xc730e997, 0x227b61af, 0xc736b43c,
-  0x22703bdc, 0xc73c8111, 0x2265172e, 0xc7425016,
-  0x2259f3a3, 0xc748214c, 0x224ed13d, 0xc74df4b1,
-  0x2243affc, 0xc753ca46, 0x22388fe1, 0xc759a20a,
-  0x222d70eb, 0xc75f7bfe, 0x2222531c, 0xc7655820,
-  0x22173674, 0xc76b3671, 0x220c1af3, 0xc77116f0,
-  0x22010099, 0xc776f99d, 0x21f5e768, 0xc77cde79,
-  0x21eacf5f, 0xc782c582, 0x21dfb87f, 0xc788aeb9,
-  0x21d4a2c8, 0xc78e9a1d, 0x21c98e3b, 0xc79487ae,
-  0x21be7ad8, 0xc79a776c, 0x21b368a0, 0xc7a06957,
-  0x21a85793, 0xc7a65d6e, 0x219d47b1, 0xc7ac53b1,
-  0x219238fb, 0xc7b24c20, 0x21872b72, 0xc7b846ba,
-  0x217c1f15, 0xc7be4381, 0x217113e5, 0xc7c44272,
-  0x216609e3, 0xc7ca438f, 0x215b0110, 0xc7d046d6,
-  0x214ff96a, 0xc7d64c47, 0x2144f2f3, 0xc7dc53e3,
-  0x2139edac, 0xc7e25daa, 0x212ee995, 0xc7e8699a,
-  0x2123e6ad, 0xc7ee77b3, 0x2118e4f6, 0xc7f487f6,
-  0x210de470, 0xc7fa9a62, 0x2102e51c, 0xc800aef7,
-  0x20f7e6f9, 0xc806c5b5, 0x20ecea09, 0xc80cde9b,
-  0x20e1ee4b, 0xc812f9a9, 0x20d6f3c1, 0xc81916df,
-  0x20cbfa6a, 0xc81f363d, 0x20c10247, 0xc82557c3,
-  0x20b60b58, 0xc82b7b70, 0x20ab159e, 0xc831a143,
-  0x20a0211a, 0xc837c93e, 0x20952dcb, 0xc83df35f,
-  0x208a3bb2, 0xc8441fa6, 0x207f4acf, 0xc84a4e14,
-  0x20745b24, 0xc8507ea7, 0x20696cb0, 0xc856b160,
-  0x205e7f74, 0xc85ce63e, 0x2053936f, 0xc8631d42,
-  0x2048a8a4, 0xc869566a, 0x203dbf11, 0xc86f91b7,
-  0x2032d6b8, 0xc875cf28, 0x2027ef99, 0xc87c0ebd,
-  0x201d09b4, 0xc8825077, 0x2012250a, 0xc8889454,
-  0x2007419b, 0xc88eda54, 0x1ffc5f67, 0xc8952278,
-  0x1ff17e70, 0xc89b6cbf, 0x1fe69eb4, 0xc8a1b928,
-  0x1fdbc036, 0xc8a807b4, 0x1fd0e2f5, 0xc8ae5862,
-  0x1fc606f1, 0xc8b4ab32, 0x1fbb2c2c, 0xc8bb0023,
-  0x1fb052a5, 0xc8c15736, 0x1fa57a5d, 0xc8c7b06b,
-  0x1f9aa354, 0xc8ce0bc0, 0x1f8fcd8b, 0xc8d46936,
-  0x1f84f902, 0xc8dac8cd, 0x1f7a25ba, 0xc8e12a84,
-  0x1f6f53b3, 0xc8e78e5b, 0x1f6482ed, 0xc8edf452,
-  0x1f59b369, 0xc8f45c68, 0x1f4ee527, 0xc8fac69e,
-  0x1f441828, 0xc90132f2, 0x1f394c6b, 0xc907a166,
-  0x1f2e81f3, 0xc90e11f7, 0x1f23b8be, 0xc91484a8,
-  0x1f18f0ce, 0xc91af976, 0x1f0e2a22, 0xc9217062,
-  0x1f0364bc, 0xc927e96b, 0x1ef8a09b, 0xc92e6492,
-  0x1eedddc0, 0xc934e1d6, 0x1ee31c2b, 0xc93b6137,
-  0x1ed85bdd, 0xc941e2b4, 0x1ecd9cd7, 0xc948664d,
-  0x1ec2df18, 0xc94eec03, 0x1eb822a1, 0xc95573d4,
-  0x1ead6773, 0xc95bfdc1, 0x1ea2ad8d, 0xc96289c9,
-  0x1e97f4f1, 0xc96917ec, 0x1e8d3d9e, 0xc96fa82a,
-  0x1e828796, 0xc9763a83, 0x1e77d2d8, 0xc97ccef5,
-  0x1e6d1f65, 0xc9836582, 0x1e626d3e, 0xc989fe29,
-  0x1e57bc62, 0xc99098e9, 0x1e4d0cd2, 0xc99735c2,
-  0x1e425e8f, 0xc99dd4b4, 0x1e37b199, 0xc9a475bf,
-  0x1e2d05f1, 0xc9ab18e3, 0x1e225b96, 0xc9b1be1e,
-  0x1e17b28a, 0xc9b86572, 0x1e0d0acc, 0xc9bf0edd,
-  0x1e02645d, 0xc9c5ba60, 0x1df7bf3e, 0xc9cc67fa,
-  0x1ded1b6e, 0xc9d317ab, 0x1de278ef, 0xc9d9c973,
-  0x1dd7d7c1, 0xc9e07d51, 0x1dcd37e4, 0xc9e73346,
-  0x1dc29958, 0xc9edeb50, 0x1db7fc1e, 0xc9f4a570,
-  0x1dad6036, 0xc9fb61a5, 0x1da2c5a2, 0xca021fef,
-  0x1d982c60, 0xca08e04f, 0x1d8d9472, 0xca0fa2c3,
-  0x1d82fdd8, 0xca16674b, 0x1d786892, 0xca1d2de7,
-  0x1d6dd4a2, 0xca23f698, 0x1d634206, 0xca2ac15b,
-  0x1d58b0c0, 0xca318e32, 0x1d4e20d0, 0xca385d1d,
-  0x1d439236, 0xca3f2e19, 0x1d3904f4, 0xca460129,
-  0x1d2e7908, 0xca4cd64b, 0x1d23ee74, 0xca53ad7e,
-  0x1d196538, 0xca5a86c4, 0x1d0edd55, 0xca61621b,
-  0x1d0456ca, 0xca683f83, 0x1cf9d199, 0xca6f1efc,
-  0x1cef4dc2, 0xca760086, 0x1ce4cb44, 0xca7ce420,
-  0x1cda4a21, 0xca83c9ca, 0x1ccfca59, 0xca8ab184,
-  0x1cc54bec, 0xca919b4e, 0x1cbacedb, 0xca988727,
-  0x1cb05326, 0xca9f750f, 0x1ca5d8cd, 0xcaa66506,
-  0x1c9b5fd2, 0xcaad570c, 0x1c90e834, 0xcab44b1f,
-  0x1c8671f3, 0xcabb4141, 0x1c7bfd11, 0xcac23971,
-  0x1c71898d, 0xcac933ae, 0x1c671768, 0xcad02ff8,
-  0x1c5ca6a2, 0xcad72e4f, 0x1c52373c, 0xcade2eb3,
-  0x1c47c936, 0xcae53123, 0x1c3d5c91, 0xcaec35a0,
-  0x1c32f14d, 0xcaf33c28, 0x1c28876a, 0xcafa44bc,
-  0x1c1e1ee9, 0xcb014f5b, 0x1c13b7c9, 0xcb085c05,
-  0x1c09520d, 0xcb0f6aba, 0x1bfeedb3, 0xcb167b79,
-  0x1bf48abd, 0xcb1d8e43, 0x1bea292b, 0xcb24a316,
-  0x1bdfc8fc, 0xcb2bb9f4, 0x1bd56a32, 0xcb32d2da,
-  0x1bcb0cce, 0xcb39edca, 0x1bc0b0ce, 0xcb410ac3,
-  0x1bb65634, 0xcb4829c4, 0x1babfd01, 0xcb4f4acd,
-  0x1ba1a534, 0xcb566ddf, 0x1b974ece, 0xcb5d92f8,
-  0x1b8cf9cf, 0xcb64ba19, 0x1b82a638, 0xcb6be341,
-  0x1b785409, 0xcb730e70, 0x1b6e0342, 0xcb7a3ba5,
-  0x1b63b3e5, 0xcb816ae1, 0x1b5965f1, 0xcb889c23,
-  0x1b4f1967, 0xcb8fcf6b, 0x1b44ce46, 0xcb9704b9,
-  0x1b3a8491, 0xcb9e3c0b, 0x1b303c46, 0xcba57563,
-  0x1b25f566, 0xcbacb0bf, 0x1b1baff2, 0xcbb3ee20,
-  0x1b116beb, 0xcbbb2d85, 0x1b072950, 0xcbc26eee,
-  0x1afce821, 0xcbc9b25a, 0x1af2a860, 0xcbd0f7ca,
-  0x1ae86a0d, 0xcbd83f3d, 0x1ade2d28, 0xcbdf88b3,
-  0x1ad3f1b1, 0xcbe6d42b, 0x1ac9b7a9, 0xcbee21a5,
-  0x1abf7f11, 0xcbf57121, 0x1ab547e8, 0xcbfcc29f,
-  0x1aab122f, 0xcc04161e, 0x1aa0dde7, 0xcc0b6b9e,
-  0x1a96ab0f, 0xcc12c31f, 0x1a8c79a9, 0xcc1a1ca0,
-  0x1a8249b4, 0xcc217822, 0x1a781b31, 0xcc28d5a3,
-  0x1a6dee21, 0xcc303524, 0x1a63c284, 0xcc3796a5,
-  0x1a599859, 0xcc3efa25, 0x1a4f6fa3, 0xcc465fa3,
-  0x1a454860, 0xcc4dc720, 0x1a3b2292, 0xcc55309b,
-  0x1a30fe38, 0xcc5c9c14, 0x1a26db54, 0xcc64098b,
-  0x1a1cb9e5, 0xcc6b78ff, 0x1a1299ec, 0xcc72ea70,
-  0x1a087b69, 0xcc7a5dde, 0x19fe5e5e, 0xcc81d349,
-  0x19f442c9, 0xcc894aaf, 0x19ea28ac, 0xcc90c412,
-  0x19e01006, 0xcc983f70, 0x19d5f8d9, 0xcc9fbcca,
-  0x19cbe325, 0xcca73c1e, 0x19c1cee9, 0xccaebd6e,
-  0x19b7bc27, 0xccb640b8, 0x19adaadf, 0xccbdc5fc,
-  0x19a39b11, 0xccc54d3a, 0x19998cbe, 0xccccd671,
-  0x198f7fe6, 0xccd461a2, 0x19857489, 0xccdbeecc,
-  0x197b6aa8, 0xcce37def, 0x19716243, 0xcceb0f0a,
-  0x19675b5a, 0xccf2a21d, 0x195d55ef, 0xccfa3729,
-  0x19535201, 0xcd01ce2b, 0x19494f90, 0xcd096725,
-  0x193f4e9e, 0xcd110216, 0x19354f2a, 0xcd189efe,
-  0x192b5135, 0xcd203ddc, 0x192154bf, 0xcd27deb0,
-  0x191759c9, 0xcd2f817b, 0x190d6053, 0xcd37263a,
-  0x1903685d, 0xcd3eccef, 0x18f971e8, 0xcd467599,
-  0x18ef7cf4, 0xcd4e2037, 0x18e58982, 0xcd55ccca,
-  0x18db9792, 0xcd5d7b50, 0x18d1a724, 0xcd652bcb,
-  0x18c7b838, 0xcd6cde39, 0x18bdcad0, 0xcd74929a,
-  0x18b3deeb, 0xcd7c48ee, 0x18a9f48a, 0xcd840134,
-  0x18a00bae, 0xcd8bbb6d, 0x18962456, 0xcd937798,
-  0x188c3e83, 0xcd9b35b4, 0x18825a35, 0xcda2f5c2,
-  0x1878776d, 0xcdaab7c0, 0x186e962b, 0xcdb27bb0,
-  0x1864b670, 0xcdba4190, 0x185ad83c, 0xcdc20960,
-  0x1850fb8e, 0xcdc9d320, 0x18472069, 0xcdd19ed0,
-  0x183d46cc, 0xcdd96c6f, 0x18336eb7, 0xcde13bfd,
-  0x1829982b, 0xcde90d79, 0x181fc328, 0xcdf0e0e4,
-  0x1815efae, 0xcdf8b63d, 0x180c1dbf, 0xce008d84,
-  0x18024d59, 0xce0866b8, 0x17f87e7f, 0xce1041d9,
-  0x17eeb130, 0xce181ee8, 0x17e4e56c, 0xce1ffde2,
-  0x17db1b34, 0xce27dec9, 0x17d15288, 0xce2fc19c,
-  0x17c78b68, 0xce37a65b, 0x17bdc5d6, 0xce3f8d05,
-  0x17b401d1, 0xce47759a, 0x17aa3f5a, 0xce4f6019,
-  0x17a07e70, 0xce574c84, 0x1796bf16, 0xce5f3ad8,
-  0x178d014a, 0xce672b16, 0x1783450d, 0xce6f1d3d,
-  0x17798a60, 0xce77114e, 0x176fd143, 0xce7f0748,
-  0x176619b6, 0xce86ff2a, 0x175c63ba, 0xce8ef8f4,
-  0x1752af4f, 0xce96f4a7, 0x1748fc75, 0xce9ef241,
-  0x173f4b2e, 0xcea6f1c2, 0x17359b78, 0xceaef32b,
-  0x172bed55, 0xceb6f67a, 0x172240c5, 0xcebefbb0,
-  0x171895c9, 0xcec702cb, 0x170eec60, 0xcecf0bcd,
-  0x1705448b, 0xced716b4, 0x16fb9e4b, 0xcedf2380,
-  0x16f1f99f, 0xcee73231, 0x16e85689, 0xceef42c7,
-  0x16deb508, 0xcef75541, 0x16d5151d, 0xceff699f,
-  0x16cb76c9, 0xcf077fe1, 0x16c1da0b, 0xcf0f9805,
-  0x16b83ee4, 0xcf17b20d, 0x16aea555, 0xcf1fcdf8,
-  0x16a50d5d, 0xcf27ebc5, 0x169b76fe, 0xcf300b74,
-  0x1691e237, 0xcf382d05, 0x16884f09, 0xcf405077,
-  0x167ebd74, 0xcf4875ca, 0x16752d79, 0xcf509cfe,
-  0x166b9f18, 0xcf58c613, 0x16621251, 0xcf60f108,
-  0x16588725, 0xcf691ddd, 0x164efd94, 0xcf714c91,
-  0x1645759f, 0xcf797d24, 0x163bef46, 0xcf81af97,
-  0x16326a88, 0xcf89e3e8, 0x1628e767, 0xcf921a17,
-  0x161f65e4, 0xcf9a5225, 0x1615e5fd, 0xcfa28c10,
-  0x160c67b4, 0xcfaac7d8, 0x1602eb0a, 0xcfb3057d,
-  0x15f96ffd, 0xcfbb4500, 0x15eff690, 0xcfc3865e,
-  0x15e67ec1, 0xcfcbc999, 0x15dd0892, 0xcfd40eaf,
-  0x15d39403, 0xcfdc55a1, 0x15ca2115, 0xcfe49e6d,
-  0x15c0afc6, 0xcfece915, 0x15b74019, 0xcff53597,
-  0x15add20d, 0xcffd83f4, 0x15a465a3, 0xd005d42a,
-  0x159afadb, 0xd00e2639, 0x159191b5, 0xd0167a22,
-  0x15882a32, 0xd01ecfe4, 0x157ec452, 0xd027277e,
-  0x15756016, 0xd02f80f1, 0x156bfd7d, 0xd037dc3b,
-  0x15629c89, 0xd040395d, 0x15593d3a, 0xd0489856,
-  0x154fdf8f, 0xd050f926, 0x15468389, 0xd0595bcd,
-  0x153d292a, 0xd061c04a, 0x1533d070, 0xd06a269d,
-  0x152a795d, 0xd0728ec6, 0x152123f0, 0xd07af8c4,
-  0x1517d02b, 0xd0836497, 0x150e7e0d, 0xd08bd23f,
-  0x15052d97, 0xd09441bb, 0x14fbdec9, 0xd09cb30b,
-  0x14f291a4, 0xd0a5262f, 0x14e94627, 0xd0ad9b26,
-  0x14dffc54, 0xd0b611f1, 0x14d6b42b, 0xd0be8a8d,
-  0x14cd6dab, 0xd0c704fd, 0x14c428d6, 0xd0cf813e,
-  0x14bae5ab, 0xd0d7ff51, 0x14b1a42c, 0xd0e07f36,
-  0x14a86458, 0xd0e900ec, 0x149f2630, 0xd0f18472,
-  0x1495e9b3, 0xd0fa09c9, 0x148caee4, 0xd10290f0,
-  0x148375c1, 0xd10b19e7, 0x147a3e4b, 0xd113a4ad,
-  0x14710883, 0xd11c3142, 0x1467d469, 0xd124bfa6,
-  0x145ea1fd, 0xd12d4fd9, 0x14557140, 0xd135e1d9,
-  0x144c4232, 0xd13e75a8, 0x144314d3, 0xd1470b44,
-  0x1439e923, 0xd14fa2ad, 0x1430bf24, 0xd1583be2,
-  0x142796d5, 0xd160d6e5, 0x141e7037, 0xd16973b3,
-  0x14154b4a, 0xd172124d, 0x140c280e, 0xd17ab2b3,
-  0x14030684, 0xd18354e4, 0x13f9e6ad, 0xd18bf8e0,
-  0x13f0c887, 0xd1949ea6, 0x13e7ac15, 0xd19d4636,
-  0x13de9156, 0xd1a5ef90, 0x13d5784a, 0xd1ae9ab4,
-  0x13cc60f2, 0xd1b747a0, 0x13c34b4f, 0xd1bff656,
-  0x13ba3760, 0xd1c8a6d4, 0x13b12526, 0xd1d1591a,
-  0x13a814a2, 0xd1da0d28, 0x139f05d3, 0xd1e2c2fd,
-  0x1395f8ba, 0xd1eb7a9a, 0x138ced57, 0xd1f433fd,
-  0x1383e3ab, 0xd1fcef27, 0x137adbb6, 0xd205ac17,
-  0x1371d579, 0xd20e6acc, 0x1368d0f3, 0xd2172b48,
-  0x135fce26, 0xd21fed88, 0x1356cd11, 0xd228b18d,
-  0x134dcdb4, 0xd2317756, 0x1344d011, 0xd23a3ee4,
-  0x133bd427, 0xd2430835, 0x1332d9f7, 0xd24bd34a,
-  0x1329e181, 0xd254a021, 0x1320eac6, 0xd25d6ebc,
-  0x1317f5c6, 0xd2663f19, 0x130f0280, 0xd26f1138,
-  0x130610f7, 0xd277e518, 0x12fd2129, 0xd280babb,
-  0x12f43318, 0xd289921e, 0x12eb46c3, 0xd2926b41,
-  0x12e25c2b, 0xd29b4626, 0x12d97350, 0xd2a422ca,
-  0x12d08c33, 0xd2ad012e, 0x12c7a6d4, 0xd2b5e151,
-  0x12bec333, 0xd2bec333, 0x12b5e151, 0xd2c7a6d4,
-  0x12ad012e, 0xd2d08c33, 0x12a422ca, 0xd2d97350,
-  0x129b4626, 0xd2e25c2b, 0x12926b41, 0xd2eb46c3,
-  0x1289921e, 0xd2f43318, 0x1280babb, 0xd2fd2129,
-  0x1277e518, 0xd30610f7, 0x126f1138, 0xd30f0280,
-  0x12663f19, 0xd317f5c6, 0x125d6ebc, 0xd320eac6,
-  0x1254a021, 0xd329e181, 0x124bd34a, 0xd332d9f7,
-  0x12430835, 0xd33bd427, 0x123a3ee4, 0xd344d011,
-  0x12317756, 0xd34dcdb4, 0x1228b18d, 0xd356cd11,
-  0x121fed88, 0xd35fce26, 0x12172b48, 0xd368d0f3,
-  0x120e6acc, 0xd371d579, 0x1205ac17, 0xd37adbb6,
-  0x11fcef27, 0xd383e3ab, 0x11f433fd, 0xd38ced57,
-  0x11eb7a9a, 0xd395f8ba, 0x11e2c2fd, 0xd39f05d3,
-  0x11da0d28, 0xd3a814a2, 0x11d1591a, 0xd3b12526,
-  0x11c8a6d4, 0xd3ba3760, 0x11bff656, 0xd3c34b4f,
-  0x11b747a0, 0xd3cc60f2, 0x11ae9ab4, 0xd3d5784a,
-  0x11a5ef90, 0xd3de9156, 0x119d4636, 0xd3e7ac15,
-  0x11949ea6, 0xd3f0c887, 0x118bf8e0, 0xd3f9e6ad,
-  0x118354e4, 0xd4030684, 0x117ab2b3, 0xd40c280e,
-  0x1172124d, 0xd4154b4a, 0x116973b3, 0xd41e7037,
-  0x1160d6e5, 0xd42796d5, 0x11583be2, 0xd430bf24,
-  0x114fa2ad, 0xd439e923, 0x11470b44, 0xd44314d3,
-  0x113e75a8, 0xd44c4232, 0x1135e1d9, 0xd4557140,
-  0x112d4fd9, 0xd45ea1fd, 0x1124bfa6, 0xd467d469,
-  0x111c3142, 0xd4710883, 0x1113a4ad, 0xd47a3e4b,
-  0x110b19e7, 0xd48375c1, 0x110290f0, 0xd48caee4,
-  0x10fa09c9, 0xd495e9b3, 0x10f18472, 0xd49f2630,
-  0x10e900ec, 0xd4a86458, 0x10e07f36, 0xd4b1a42c,
-  0x10d7ff51, 0xd4bae5ab, 0x10cf813e, 0xd4c428d6,
-  0x10c704fd, 0xd4cd6dab, 0x10be8a8d, 0xd4d6b42b,
-  0x10b611f1, 0xd4dffc54, 0x10ad9b26, 0xd4e94627,
-  0x10a5262f, 0xd4f291a4, 0x109cb30b, 0xd4fbdec9,
-  0x109441bb, 0xd5052d97, 0x108bd23f, 0xd50e7e0d,
-  0x10836497, 0xd517d02b, 0x107af8c4, 0xd52123f0,
-  0x10728ec6, 0xd52a795d, 0x106a269d, 0xd533d070,
-  0x1061c04a, 0xd53d292a, 0x10595bcd, 0xd5468389,
-  0x1050f926, 0xd54fdf8f, 0x10489856, 0xd5593d3a,
-  0x1040395d, 0xd5629c89, 0x1037dc3b, 0xd56bfd7d,
-  0x102f80f1, 0xd5756016, 0x1027277e, 0xd57ec452,
-  0x101ecfe4, 0xd5882a32, 0x10167a22, 0xd59191b5,
-  0x100e2639, 0xd59afadb, 0x1005d42a, 0xd5a465a3,
-  0xffd83f4, 0xd5add20d, 0xff53597, 0xd5b74019,
-  0xfece915, 0xd5c0afc6, 0xfe49e6d, 0xd5ca2115,
-  0xfdc55a1, 0xd5d39403, 0xfd40eaf, 0xd5dd0892,
-  0xfcbc999, 0xd5e67ec1, 0xfc3865e, 0xd5eff690,
-  0xfbb4500, 0xd5f96ffd, 0xfb3057d, 0xd602eb0a,
-  0xfaac7d8, 0xd60c67b4, 0xfa28c10, 0xd615e5fd,
-  0xf9a5225, 0xd61f65e4, 0xf921a17, 0xd628e767,
-  0xf89e3e8, 0xd6326a88, 0xf81af97, 0xd63bef46,
-  0xf797d24, 0xd645759f, 0xf714c91, 0xd64efd94,
-  0xf691ddd, 0xd6588725, 0xf60f108, 0xd6621251,
-  0xf58c613, 0xd66b9f18, 0xf509cfe, 0xd6752d79,
-  0xf4875ca, 0xd67ebd74, 0xf405077, 0xd6884f09,
-  0xf382d05, 0xd691e237, 0xf300b74, 0xd69b76fe,
-  0xf27ebc5, 0xd6a50d5d, 0xf1fcdf8, 0xd6aea555,
-  0xf17b20d, 0xd6b83ee4, 0xf0f9805, 0xd6c1da0b,
-  0xf077fe1, 0xd6cb76c9, 0xeff699f, 0xd6d5151d,
-  0xef75541, 0xd6deb508, 0xeef42c7, 0xd6e85689,
-  0xee73231, 0xd6f1f99f, 0xedf2380, 0xd6fb9e4b,
-  0xed716b4, 0xd705448b, 0xecf0bcd, 0xd70eec60,
-  0xec702cb, 0xd71895c9, 0xebefbb0, 0xd72240c5,
-  0xeb6f67a, 0xd72bed55, 0xeaef32b, 0xd7359b78,
-  0xea6f1c2, 0xd73f4b2e, 0xe9ef241, 0xd748fc75,
-  0xe96f4a7, 0xd752af4f, 0xe8ef8f4, 0xd75c63ba,
-  0xe86ff2a, 0xd76619b6, 0xe7f0748, 0xd76fd143,
-  0xe77114e, 0xd7798a60, 0xe6f1d3d, 0xd783450d,
-  0xe672b16, 0xd78d014a, 0xe5f3ad8, 0xd796bf16,
-  0xe574c84, 0xd7a07e70, 0xe4f6019, 0xd7aa3f5a,
-  0xe47759a, 0xd7b401d1, 0xe3f8d05, 0xd7bdc5d6,
-  0xe37a65b, 0xd7c78b68, 0xe2fc19c, 0xd7d15288,
-  0xe27dec9, 0xd7db1b34, 0xe1ffde2, 0xd7e4e56c,
-  0xe181ee8, 0xd7eeb130, 0xe1041d9, 0xd7f87e7f,
-  0xe0866b8, 0xd8024d59, 0xe008d84, 0xd80c1dbf,
-  0xdf8b63d, 0xd815efae, 0xdf0e0e4, 0xd81fc328,
-  0xde90d79, 0xd829982b, 0xde13bfd, 0xd8336eb7,
-  0xdd96c6f, 0xd83d46cc, 0xdd19ed0, 0xd8472069,
-  0xdc9d320, 0xd850fb8e, 0xdc20960, 0xd85ad83c,
-  0xdba4190, 0xd864b670, 0xdb27bb0, 0xd86e962b,
-  0xdaab7c0, 0xd878776d, 0xda2f5c2, 0xd8825a35,
-  0xd9b35b4, 0xd88c3e83, 0xd937798, 0xd8962456,
-  0xd8bbb6d, 0xd8a00bae, 0xd840134, 0xd8a9f48a,
-  0xd7c48ee, 0xd8b3deeb, 0xd74929a, 0xd8bdcad0,
-  0xd6cde39, 0xd8c7b838, 0xd652bcb, 0xd8d1a724,
-  0xd5d7b50, 0xd8db9792, 0xd55ccca, 0xd8e58982,
-  0xd4e2037, 0xd8ef7cf4, 0xd467599, 0xd8f971e8,
-  0xd3eccef, 0xd903685d, 0xd37263a, 0xd90d6053,
-  0xd2f817b, 0xd91759c9, 0xd27deb0, 0xd92154bf,
-  0xd203ddc, 0xd92b5135, 0xd189efe, 0xd9354f2a,
-  0xd110216, 0xd93f4e9e, 0xd096725, 0xd9494f90,
-  0xd01ce2b, 0xd9535201, 0xcfa3729, 0xd95d55ef,
-  0xcf2a21d, 0xd9675b5a, 0xceb0f0a, 0xd9716243,
-  0xce37def, 0xd97b6aa8, 0xcdbeecc, 0xd9857489,
-  0xcd461a2, 0xd98f7fe6, 0xcccd671, 0xd9998cbe,
-  0xcc54d3a, 0xd9a39b11, 0xcbdc5fc, 0xd9adaadf,
-  0xcb640b8, 0xd9b7bc27, 0xcaebd6e, 0xd9c1cee9,
-  0xca73c1e, 0xd9cbe325, 0xc9fbcca, 0xd9d5f8d9,
-  0xc983f70, 0xd9e01006, 0xc90c412, 0xd9ea28ac,
-  0xc894aaf, 0xd9f442c9, 0xc81d349, 0xd9fe5e5e,
-  0xc7a5dde, 0xda087b69, 0xc72ea70, 0xda1299ec,
-  0xc6b78ff, 0xda1cb9e5, 0xc64098b, 0xda26db54,
-  0xc5c9c14, 0xda30fe38, 0xc55309b, 0xda3b2292,
-  0xc4dc720, 0xda454860, 0xc465fa3, 0xda4f6fa3,
-  0xc3efa25, 0xda599859, 0xc3796a5, 0xda63c284,
-  0xc303524, 0xda6dee21, 0xc28d5a3, 0xda781b31,
-  0xc217822, 0xda8249b4, 0xc1a1ca0, 0xda8c79a9,
-  0xc12c31f, 0xda96ab0f, 0xc0b6b9e, 0xdaa0dde7,
-  0xc04161e, 0xdaab122f, 0xbfcc29f, 0xdab547e8,
-  0xbf57121, 0xdabf7f11, 0xbee21a5, 0xdac9b7a9,
-  0xbe6d42b, 0xdad3f1b1, 0xbdf88b3, 0xdade2d28,
-  0xbd83f3d, 0xdae86a0d, 0xbd0f7ca, 0xdaf2a860,
-  0xbc9b25a, 0xdafce821, 0xbc26eee, 0xdb072950,
-  0xbbb2d85, 0xdb116beb, 0xbb3ee20, 0xdb1baff2,
-  0xbacb0bf, 0xdb25f566, 0xba57563, 0xdb303c46,
-  0xb9e3c0b, 0xdb3a8491, 0xb9704b9, 0xdb44ce46,
-  0xb8fcf6b, 0xdb4f1967, 0xb889c23, 0xdb5965f1,
-  0xb816ae1, 0xdb63b3e5, 0xb7a3ba5, 0xdb6e0342,
-  0xb730e70, 0xdb785409, 0xb6be341, 0xdb82a638,
-  0xb64ba19, 0xdb8cf9cf, 0xb5d92f8, 0xdb974ece,
-  0xb566ddf, 0xdba1a534, 0xb4f4acd, 0xdbabfd01,
-  0xb4829c4, 0xdbb65634, 0xb410ac3, 0xdbc0b0ce,
-  0xb39edca, 0xdbcb0cce, 0xb32d2da, 0xdbd56a32,
-  0xb2bb9f4, 0xdbdfc8fc, 0xb24a316, 0xdbea292b,
-  0xb1d8e43, 0xdbf48abd, 0xb167b79, 0xdbfeedb3,
-  0xb0f6aba, 0xdc09520d, 0xb085c05, 0xdc13b7c9,
-  0xb014f5b, 0xdc1e1ee9, 0xafa44bc, 0xdc28876a,
-  0xaf33c28, 0xdc32f14d, 0xaec35a0, 0xdc3d5c91,
-  0xae53123, 0xdc47c936, 0xade2eb3, 0xdc52373c,
-  0xad72e4f, 0xdc5ca6a2, 0xad02ff8, 0xdc671768,
-  0xac933ae, 0xdc71898d, 0xac23971, 0xdc7bfd11,
-  0xabb4141, 0xdc8671f3, 0xab44b1f, 0xdc90e834,
-  0xaad570c, 0xdc9b5fd2, 0xaa66506, 0xdca5d8cd,
-  0xa9f750f, 0xdcb05326, 0xa988727, 0xdcbacedb,
-  0xa919b4e, 0xdcc54bec, 0xa8ab184, 0xdccfca59,
-  0xa83c9ca, 0xdcda4a21, 0xa7ce420, 0xdce4cb44,
-  0xa760086, 0xdcef4dc2, 0xa6f1efc, 0xdcf9d199,
-  0xa683f83, 0xdd0456ca, 0xa61621b, 0xdd0edd55,
-  0xa5a86c4, 0xdd196538, 0xa53ad7e, 0xdd23ee74,
-  0xa4cd64b, 0xdd2e7908, 0xa460129, 0xdd3904f4,
-  0xa3f2e19, 0xdd439236, 0xa385d1d, 0xdd4e20d0,
-  0xa318e32, 0xdd58b0c0, 0xa2ac15b, 0xdd634206,
-  0xa23f698, 0xdd6dd4a2, 0xa1d2de7, 0xdd786892,
-  0xa16674b, 0xdd82fdd8, 0xa0fa2c3, 0xdd8d9472,
-  0xa08e04f, 0xdd982c60, 0xa021fef, 0xdda2c5a2,
-  0x9fb61a5, 0xddad6036, 0x9f4a570, 0xddb7fc1e,
-  0x9edeb50, 0xddc29958, 0x9e73346, 0xddcd37e4,
-  0x9e07d51, 0xddd7d7c1, 0x9d9c973, 0xdde278ef,
-  0x9d317ab, 0xdded1b6e, 0x9cc67fa, 0xddf7bf3e,
-  0x9c5ba60, 0xde02645d, 0x9bf0edd, 0xde0d0acc,
-  0x9b86572, 0xde17b28a, 0x9b1be1e, 0xde225b96,
-  0x9ab18e3, 0xde2d05f1, 0x9a475bf, 0xde37b199,
-  0x99dd4b4, 0xde425e8f, 0x99735c2, 0xde4d0cd2,
-  0x99098e9, 0xde57bc62, 0x989fe29, 0xde626d3e,
-  0x9836582, 0xde6d1f65, 0x97ccef5, 0xde77d2d8,
-  0x9763a83, 0xde828796, 0x96fa82a, 0xde8d3d9e,
-  0x96917ec, 0xde97f4f1, 0x96289c9, 0xdea2ad8d,
-  0x95bfdc1, 0xdead6773, 0x95573d4, 0xdeb822a1,
-  0x94eec03, 0xdec2df18, 0x948664d, 0xdecd9cd7,
-  0x941e2b4, 0xded85bdd, 0x93b6137, 0xdee31c2b,
-  0x934e1d6, 0xdeedddc0, 0x92e6492, 0xdef8a09b,
-  0x927e96b, 0xdf0364bc, 0x9217062, 0xdf0e2a22,
-  0x91af976, 0xdf18f0ce, 0x91484a8, 0xdf23b8be,
-  0x90e11f7, 0xdf2e81f3, 0x907a166, 0xdf394c6b,
-  0x90132f2, 0xdf441828, 0x8fac69e, 0xdf4ee527,
-  0x8f45c68, 0xdf59b369, 0x8edf452, 0xdf6482ed,
-  0x8e78e5b, 0xdf6f53b3, 0x8e12a84, 0xdf7a25ba,
-  0x8dac8cd, 0xdf84f902, 0x8d46936, 0xdf8fcd8b,
-  0x8ce0bc0, 0xdf9aa354, 0x8c7b06b, 0xdfa57a5d,
-  0x8c15736, 0xdfb052a5, 0x8bb0023, 0xdfbb2c2c,
-  0x8b4ab32, 0xdfc606f1, 0x8ae5862, 0xdfd0e2f5,
-  0x8a807b4, 0xdfdbc036, 0x8a1b928, 0xdfe69eb4,
-  0x89b6cbf, 0xdff17e70, 0x8952278, 0xdffc5f67,
-  0x88eda54, 0xe007419b, 0x8889454, 0xe012250a,
-  0x8825077, 0xe01d09b4, 0x87c0ebd, 0xe027ef99,
-  0x875cf28, 0xe032d6b8, 0x86f91b7, 0xe03dbf11,
-  0x869566a, 0xe048a8a4, 0x8631d42, 0xe053936f,
-  0x85ce63e, 0xe05e7f74, 0x856b160, 0xe0696cb0,
-  0x8507ea7, 0xe0745b24, 0x84a4e14, 0xe07f4acf,
-  0x8441fa6, 0xe08a3bb2, 0x83df35f, 0xe0952dcb,
-  0x837c93e, 0xe0a0211a, 0x831a143, 0xe0ab159e,
-  0x82b7b70, 0xe0b60b58, 0x82557c3, 0xe0c10247,
-  0x81f363d, 0xe0cbfa6a, 0x81916df, 0xe0d6f3c1,
-  0x812f9a9, 0xe0e1ee4b, 0x80cde9b, 0xe0ecea09,
-  0x806c5b5, 0xe0f7e6f9, 0x800aef7, 0xe102e51c,
-  0x7fa9a62, 0xe10de470, 0x7f487f6, 0xe118e4f6,
-  0x7ee77b3, 0xe123e6ad, 0x7e8699a, 0xe12ee995,
-  0x7e25daa, 0xe139edac, 0x7dc53e3, 0xe144f2f3,
-  0x7d64c47, 0xe14ff96a, 0x7d046d6, 0xe15b0110,
-  0x7ca438f, 0xe16609e3, 0x7c44272, 0xe17113e5,
-  0x7be4381, 0xe17c1f15, 0x7b846ba, 0xe1872b72,
-  0x7b24c20, 0xe19238fb, 0x7ac53b1, 0xe19d47b1,
-  0x7a65d6e, 0xe1a85793, 0x7a06957, 0xe1b368a0,
-  0x79a776c, 0xe1be7ad8, 0x79487ae, 0xe1c98e3b,
-  0x78e9a1d, 0xe1d4a2c8, 0x788aeb9, 0xe1dfb87f,
-  0x782c582, 0xe1eacf5f, 0x77cde79, 0xe1f5e768,
-  0x776f99d, 0xe2010099, 0x77116f0, 0xe20c1af3,
-  0x76b3671, 0xe2173674, 0x7655820, 0xe222531c,
-  0x75f7bfe, 0xe22d70eb, 0x759a20a, 0xe2388fe1,
-  0x753ca46, 0xe243affc, 0x74df4b1, 0xe24ed13d,
-  0x748214c, 0xe259f3a3, 0x7425016, 0xe265172e,
-  0x73c8111, 0xe2703bdc, 0x736b43c, 0xe27b61af,
-  0x730e997, 0xe28688a4, 0x72b2123, 0xe291b0bd,
-  0x7255ae0, 0xe29cd9f8, 0x71f96ce, 0xe2a80456,
-  0x719d4ed, 0xe2b32fd4, 0x714153e, 0xe2be5c74,
-  0x70e57c0, 0xe2c98a35, 0x7089c75, 0xe2d4b916,
-  0x702e35c, 0xe2dfe917, 0x6fd2c75, 0xe2eb1a37,
-  0x6f777c1, 0xe2f64c77, 0x6f1c540, 0xe3017fd5,
-  0x6ec14f2, 0xe30cb451, 0x6e666d7, 0xe317e9eb,
-  0x6e0baf0, 0xe32320a2, 0x6db113d, 0xe32e5876,
-  0x6d569be, 0xe3399167, 0x6cfc472, 0xe344cb73,
-  0x6ca215c, 0xe350069b, 0x6c4807a, 0xe35b42df,
-  0x6bee1cd, 0xe366803c, 0x6b94554, 0xe371beb5,
-  0x6b3ab12, 0xe37cfe47, 0x6ae1304, 0xe3883ef2,
-  0x6a87d2d, 0xe39380b6, 0x6a2e98b, 0xe39ec393,
-  0x69d5820, 0xe3aa0788, 0x697c8eb, 0xe3b54c95,
-  0x6923bec, 0xe3c092b9, 0x68cb124, 0xe3cbd9f4,
-  0x6872894, 0xe3d72245, 0x681a23a, 0xe3e26bac,
-  0x67c1e18, 0xe3edb628, 0x6769c2e, 0xe3f901ba,
-  0x6711c7b, 0xe4044e60, 0x66b9f01, 0xe40f9c1a,
-  0x66623be, 0xe41aeae8, 0x660aab5, 0xe4263ac9,
-  0x65b33e4, 0xe4318bbe, 0x655bf4c, 0xe43cddc4,
-  0x6504ced, 0xe44830dd, 0x64adcc7, 0xe4538507,
-  0x6456edb, 0xe45eda43, 0x6400329, 0xe46a308f,
-  0x63a99b1, 0xe47587eb, 0x6353273, 0xe480e057,
-  0x62fcd6f, 0xe48c39d3, 0x62a6aa6, 0xe497945d,
-  0x6250a18, 0xe4a2eff6, 0x61fabc4, 0xe4ae4c9d,
-  0x61a4fac, 0xe4b9aa52, 0x614f5cf, 0xe4c50914,
-  0x60f9e2e, 0xe4d068e2, 0x60a48c9, 0xe4dbc9bd,
-  0x604f5a0, 0xe4e72ba4, 0x5ffa4b3, 0xe4f28e96,
-  0x5fa5603, 0xe4fdf294, 0x5f5098f, 0xe509579b,
-  0x5efbf58, 0xe514bdad, 0x5ea775e, 0xe52024c9,
-  0x5e531a1, 0xe52b8cee, 0x5dfee22, 0xe536f61b,
-  0x5daace1, 0xe5426051, 0x5d56ddd, 0xe54dcb8f,
-  0x5d03118, 0xe55937d5, 0x5caf690, 0xe564a521,
-  0x5c5be47, 0xe5701374, 0x5c0883d, 0xe57b82cd,
-  0x5bb5472, 0xe586f32c, 0x5b622e6, 0xe5926490,
-  0x5b0f399, 0xe59dd6f9, 0x5abc68c, 0xe5a94a67,
-  0x5a69bbe, 0xe5b4bed8, 0x5a17330, 0xe5c0344d,
-  0x59c4ce3, 0xe5cbaac5, 0x59728d5, 0xe5d72240,
-  0x5920708, 0xe5e29abc, 0x58ce77c, 0xe5ee143b,
-  0x587ca31, 0xe5f98ebb, 0x582af26, 0xe6050a3b,
-  0x57d965d, 0xe61086bc, 0x5787fd6, 0xe61c043d,
-  0x5736b90, 0xe62782be, 0x56e598c, 0xe633023e,
-  0x56949ca, 0xe63e82bc, 0x5643c4a, 0xe64a0438,
-  0x55f310d, 0xe65586b3, 0x55a2812, 0xe6610a2a,
-  0x555215a, 0xe66c8e9f, 0x5501ce5, 0xe6781410,
-  0x54b1ab4, 0xe6839a7c, 0x5461ac6, 0xe68f21e5,
-  0x5411d1b, 0xe69aaa48, 0x53c21b4, 0xe6a633a6,
-  0x5372891, 0xe6b1bdff, 0x53231b3, 0xe6bd4951,
-  0x52d3d18, 0xe6c8d59c, 0x5284ac3, 0xe6d462e1,
-  0x5235ab2, 0xe6dff11d, 0x51e6ce6, 0xe6eb8052,
-  0x519815f, 0xe6f7107e, 0x514981d, 0xe702a1a1,
-  0x50fb121, 0xe70e33bb, 0x50acc6b, 0xe719c6cb,
-  0x505e9fb, 0xe7255ad1, 0x50109d0, 0xe730efcc,
-  0x4fc2bec, 0xe73c85bc, 0x4f7504e, 0xe7481ca1,
-  0x4f276f7, 0xe753b479, 0x4ed9fe7, 0xe75f4d45,
-  0x4e8cb1e, 0xe76ae704, 0x4e3f89c, 0xe77681b6,
-  0x4df2862, 0xe7821d59, 0x4da5a6f, 0xe78db9ef,
-  0x4d58ec3, 0xe7995776, 0x4d0c560, 0xe7a4f5ed,
-  0x4cbfe45, 0xe7b09555, 0x4c73972, 0xe7bc35ad,
-  0x4c276e8, 0xe7c7d6f4, 0x4bdb6a6, 0xe7d3792b,
-  0x4b8f8ad, 0xe7df1c50, 0x4b43cfd, 0xe7eac063,
-  0x4af8397, 0xe7f66564, 0x4aacc7a, 0xe8020b52,
-  0x4a617a6, 0xe80db22d, 0x4a1651c, 0xe81959f4,
-  0x49cb4dd, 0xe82502a7, 0x49806e7, 0xe830ac45,
-  0x4935b3c, 0xe83c56cf, 0x48eb1db, 0xe8480243,
-  0x48a0ac4, 0xe853aea1, 0x48565f9, 0xe85f5be9,
-  0x480c379, 0xe86b0a1a, 0x47c2344, 0xe876b934,
-  0x477855a, 0xe8826936, 0x472e9bc, 0xe88e1a20,
-  0x46e5069, 0xe899cbf1, 0x469b963, 0xe8a57ea9,
-  0x46524a9, 0xe8b13248, 0x460923b, 0xe8bce6cd,
-  0x45c0219, 0xe8c89c37, 0x4577444, 0xe8d45286,
-  0x452e8bc, 0xe8e009ba, 0x44e5f80, 0xe8ebc1d3,
-  0x449d892, 0xe8f77acf, 0x44553f2, 0xe90334af,
-  0x440d19e, 0xe90eef71, 0x43c5199, 0xe91aab16,
-  0x437d3e1, 0xe926679c, 0x4335877, 0xe9322505,
-  0x42edf5c, 0xe93de34e, 0x42a688f, 0xe949a278,
-  0x425f410, 0xe9556282, 0x42181e0, 0xe961236c,
-  0x41d11ff, 0xe96ce535, 0x418a46d, 0xe978a7dd,
-  0x414392b, 0xe9846b63, 0x40fd037, 0xe9902fc7,
-  0x40b6994, 0xe99bf509, 0x4070540, 0xe9a7bb28,
-  0x402a33c, 0xe9b38223, 0x3fe4388, 0xe9bf49fa,
-  0x3f9e624, 0xe9cb12ad, 0x3f58b10, 0xe9d6dc3b,
-  0x3f1324e, 0xe9e2a6a3, 0x3ecdbdc, 0xe9ee71e6,
-  0x3e887bb, 0xe9fa3e03, 0x3e435ea, 0xea060af9,
-  0x3dfe66c, 0xea11d8c8, 0x3db993e, 0xea1da770,
-  0x3d74e62, 0xea2976ef, 0x3d305d8, 0xea354746,
-  0x3cebfa0, 0xea411874, 0x3ca7bba, 0xea4cea79,
-  0x3c63a26, 0xea58bd54, 0x3c1fae5, 0xea649105,
-  0x3bdbdf6, 0xea70658a, 0x3b9835a, 0xea7c3ae5,
-  0x3b54b11, 0xea881114, 0x3b1151b, 0xea93e817,
-  0x3ace178, 0xea9fbfed, 0x3a8b028, 0xeaab9896,
-  0x3a4812c, 0xeab77212, 0x3a05484, 0xeac34c60,
-  0x39c2a2f, 0xeacf277f, 0x398022f, 0xeadb0370,
-  0x393dc82, 0xeae6e031, 0x38fb92a, 0xeaf2bdc3,
-  0x38b9827, 0xeafe9c24, 0x3877978, 0xeb0a7b54,
-  0x3835d1e, 0xeb165b54, 0x37f4319, 0xeb223c22,
-  0x37b2b6a, 0xeb2e1dbe, 0x377160f, 0xeb3a0027,
-  0x373030a, 0xeb45e35d, 0x36ef25b, 0xeb51c760,
-  0x36ae401, 0xeb5dac2f, 0x366d7fd, 0xeb6991ca,
-  0x362ce50, 0xeb75782f, 0x35ec6f8, 0xeb815f60,
-  0x35ac1f7, 0xeb8d475b, 0x356bf4d, 0xeb99301f,
-  0x352bef9, 0xeba519ad, 0x34ec0fc, 0xebb10404,
-  0x34ac556, 0xebbcef23, 0x346cc07, 0xebc8db0b,
-  0x342d510, 0xebd4c7ba, 0x33ee070, 0xebe0b52f,
-  0x33aee27, 0xebeca36c, 0x336fe37, 0xebf8926f,
-  0x333109e, 0xec048237, 0x32f255e, 0xec1072c4,
-  0x32b3c75, 0xec1c6417, 0x32755e5, 0xec28562d,
-  0x32371ae, 0xec344908, 0x31f8fcf, 0xec403ca5,
-  0x31bb049, 0xec4c3106, 0x317d31c, 0xec582629,
-  0x313f848, 0xec641c0e, 0x3101fce, 0xec7012b5,
-  0x30c49ad, 0xec7c0a1d, 0x30875e5, 0xec880245,
-  0x304a477, 0xec93fb2e, 0x300d563, 0xec9ff4d6,
-  0x2fd08a9, 0xecabef3d, 0x2f93e4a, 0xecb7ea63,
-  0x2f57644, 0xecc3e648, 0x2f1b099, 0xeccfe2ea,
-  0x2eded49, 0xecdbe04a, 0x2ea2c53, 0xece7de66,
-  0x2e66db8, 0xecf3dd3f, 0x2e2b178, 0xecffdcd4,
-  0x2def794, 0xed0bdd25, 0x2db400a, 0xed17de31,
-  0x2d78add, 0xed23dff7, 0x2d3d80a, 0xed2fe277,
-  0x2d02794, 0xed3be5b1, 0x2cc7979, 0xed47e9a5,
-  0x2c8cdbb, 0xed53ee51, 0x2c52459, 0xed5ff3b5,
-  0x2c17d52, 0xed6bf9d1, 0x2bdd8a9, 0xed7800a5,
-  0x2ba365c, 0xed84082f, 0x2b6966c, 0xed901070,
-  0x2b2f8d8, 0xed9c1967, 0x2af5da2, 0xeda82313,
-  0x2abc4c9, 0xedb42d74, 0x2a82e4d, 0xedc0388a,
-  0x2a49a2e, 0xedcc4454, 0x2a1086d, 0xedd850d2,
-  0x29d790a, 0xede45e03, 0x299ec05, 0xedf06be6,
-  0x296615d, 0xedfc7a7c, 0x292d914, 0xee0889c4,
-  0x28f5329, 0xee1499bd, 0x28bcf9c, 0xee20aa67,
-  0x2884e6e, 0xee2cbbc1, 0x284cf9f, 0xee38cdcb,
-  0x281532e, 0xee44e084, 0x27dd91c, 0xee50f3ed,
-  0x27a616a, 0xee5d0804, 0x276ec16, 0xee691cc9,
-  0x2737922, 0xee75323c, 0x270088e, 0xee81485c,
-  0x26c9a58, 0xee8d5f29, 0x2692e83, 0xee9976a1,
-  0x265c50e, 0xeea58ec6, 0x2625df8, 0xeeb1a796,
-  0x25ef943, 0xeebdc110, 0x25b96ee, 0xeec9db35,
-  0x25836f9, 0xeed5f604, 0x254d965, 0xeee2117c,
-  0x2517e31, 0xeeee2d9d, 0x24e255e, 0xeefa4a67,
-  0x24aceed, 0xef0667d9, 0x2477adc, 0xef1285f2,
-  0x244292c, 0xef1ea4b2, 0x240d9de, 0xef2ac419,
-  0x23d8cf1, 0xef36e426, 0x23a4265, 0xef4304d8,
-  0x236fa3b, 0xef4f2630, 0x233b473, 0xef5b482d,
-  0x230710d, 0xef676ace, 0x22d3009, 0xef738e12,
-  0x229f167, 0xef7fb1fa, 0x226b528, 0xef8bd685,
-  0x2237b4b, 0xef97fbb2, 0x22043d0, 0xefa42181,
-  0x21d0eb8, 0xefb047f2, 0x219dc03, 0xefbc6f03,
-  0x216abb1, 0xefc896b5, 0x2137dc2, 0xefd4bf08,
-  0x2105236, 0xefe0e7f9, 0x20d290d, 0xefed118a,
-  0x20a0248, 0xeff93bba, 0x206dde6, 0xf0056687,
-  0x203bbe8, 0xf01191f3, 0x2009c4e, 0xf01dbdfb,
-  0x1fd7f17, 0xf029eaa1, 0x1fa6445, 0xf03617e2,
-  0x1f74bd6, 0xf04245c0, 0x1f435cc, 0xf04e7438,
-  0x1f12227, 0xf05aa34c, 0x1ee10e5, 0xf066d2fa,
-  0x1eb0209, 0xf0730342, 0x1e7f591, 0xf07f3424,
-  0x1e4eb7e, 0xf08b659f, 0x1e1e3d0, 0xf09797b2,
-  0x1dede87, 0xf0a3ca5d, 0x1dbdba3, 0xf0affda0,
-  0x1d8db25, 0xf0bc317a, 0x1d5dd0c, 0xf0c865ea,
-  0x1d2e158, 0xf0d49af1, 0x1cfe80a, 0xf0e0d08d,
-  0x1ccf122, 0xf0ed06bf, 0x1c9fca0, 0xf0f93d86,
-  0x1c70a84, 0xf10574e0, 0x1c41ace, 0xf111accf,
-  0x1c12d7e, 0xf11de551, 0x1be4294, 0xf12a1e66,
-  0x1bb5a11, 0xf136580d, 0x1b873f5, 0xf1429247,
-  0x1b5903f, 0xf14ecd11, 0x1b2aef0, 0xf15b086d,
-  0x1afd007, 0xf1674459, 0x1acf386, 0xf17380d6,
-  0x1aa196c, 0xf17fbde2, 0x1a741b9, 0xf18bfb7d,
-  0x1a46c6e, 0xf19839a6, 0x1a1998a, 0xf1a4785e,
-  0x19ec90d, 0xf1b0b7a4, 0x19bfaf9, 0xf1bcf777,
-  0x1992f4c, 0xf1c937d6, 0x1966606, 0xf1d578c2,
-  0x1939f29, 0xf1e1ba3a, 0x190dab4, 0xf1edfc3d,
-  0x18e18a7, 0xf1fa3ecb, 0x18b5903, 0xf20681e3,
-  0x1889bc6, 0xf212c585, 0x185e0f3, 0xf21f09b1,
-  0x1832888, 0xf22b4e66, 0x1807285, 0xf23793a3,
-  0x17dbeec, 0xf243d968, 0x17b0dbb, 0xf2501fb5,
-  0x1785ef4, 0xf25c6688, 0x175b296, 0xf268ade3,
-  0x17308a1, 0xf274f5c3, 0x1706115, 0xf2813e2a,
-  0x16dbbf3, 0xf28d8715, 0x16b193a, 0xf299d085,
-  0x16878eb, 0xf2a61a7a, 0x165db05, 0xf2b264f2,
-  0x1633f8a, 0xf2beafed, 0x160a678, 0xf2cafb6b,
-  0x15e0fd1, 0xf2d7476c, 0x15b7b94, 0xf2e393ef,
-  0x158e9c1, 0xf2efe0f2, 0x1565a58, 0xf2fc2e77,
-  0x153cd5a, 0xf3087c7d, 0x15142c6, 0xf314cb02,
-  0x14eba9d, 0xf3211a07, 0x14c34df, 0xf32d698a,
-  0x149b18b, 0xf339b98d, 0x14730a3, 0xf3460a0d,
-  0x144b225, 0xf3525b0b, 0x1423613, 0xf35eac86,
-  0x13fbc6c, 0xf36afe7e, 0x13d4530, 0xf37750f2,
-  0x13ad060, 0xf383a3e2, 0x1385dfb, 0xf38ff74d,
-  0x135ee02, 0xf39c4b32, 0x1338075, 0xf3a89f92,
-  0x1311553, 0xf3b4f46c, 0x12eac9d, 0xf3c149bf,
-  0x12c4653, 0xf3cd9f8b, 0x129e276, 0xf3d9f5cf,
-  0x1278104, 0xf3e64c8c, 0x12521ff, 0xf3f2a3bf,
-  0x122c566, 0xf3fefb6a, 0x1206b39, 0xf40b538b,
-  0x11e1379, 0xf417ac22, 0x11bbe26, 0xf424052f,
-  0x1196b3f, 0xf4305eb0, 0x1171ac6, 0xf43cb8a7,
-  0x114ccb9, 0xf4491311, 0x1128119, 0xf4556def,
-  0x11037e6, 0xf461c940, 0x10df120, 0xf46e2504,
-  0x10bacc8, 0xf47a8139, 0x1096add, 0xf486dde1,
-  0x1072b5f, 0xf4933afa, 0x104ee4f, 0xf49f9884,
-  0x102b3ac, 0xf4abf67e, 0x1007b77, 0xf4b854e7,
-  0xfe45b0, 0xf4c4b3c0, 0xfc1257, 0xf4d11308,
-  0xf9e16b, 0xf4dd72be, 0xf7b2ee, 0xf4e9d2e3,
-  0xf586df, 0xf4f63374, 0xf35d3e, 0xf5029473,
-  0xf1360b, 0xf50ef5de, 0xef1147, 0xf51b57b5,
-  0xeceef1, 0xf527b9f7, 0xeacf09, 0xf5341ca5,
-  0xe8b190, 0xf5407fbd, 0xe69686, 0xf54ce33f,
-  0xe47deb, 0xf559472b, 0xe267be, 0xf565ab80,
-  0xe05401, 0xf572103d, 0xde42b2, 0xf57e7563,
-  0xdc33d2, 0xf58adaf0, 0xda2762, 0xf59740e5,
-  0xd81d61, 0xf5a3a740, 0xd615cf, 0xf5b00e02,
-  0xd410ad, 0xf5bc7529, 0xd20dfa, 0xf5c8dcb6,
-  0xd00db6, 0xf5d544a7, 0xce0fe3, 0xf5e1acfd,
-  0xcc147f, 0xf5ee15b7, 0xca1b8a, 0xf5fa7ed4,
-  0xc82506, 0xf606e854, 0xc630f2, 0xf6135237,
-  0xc43f4d, 0xf61fbc7b, 0xc25019, 0xf62c2721,
-  0xc06355, 0xf6389228, 0xbe7901, 0xf644fd8f,
-  0xbc911d, 0xf6516956, 0xbaabaa, 0xf65dd57d,
-  0xb8c8a7, 0xf66a4203, 0xb6e815, 0xf676aee8,
-  0xb509f3, 0xf6831c2b, 0xb32e42, 0xf68f89cb,
-  0xb15502, 0xf69bf7c9, 0xaf7e33, 0xf6a86623,
-  0xada9d4, 0xf6b4d4d9, 0xabd7e6, 0xf6c143ec,
-  0xaa086a, 0xf6cdb359, 0xa83b5e, 0xf6da2321,
-  0xa670c4, 0xf6e69344, 0xa4a89b, 0xf6f303c0,
-  0xa2e2e3, 0xf6ff7496, 0xa11f9d, 0xf70be5c4,
-  0x9f5ec8, 0xf718574b, 0x9da065, 0xf724c92a,
-  0x9be473, 0xf7313b60, 0x9a2af3, 0xf73daded,
-  0x9873e4, 0xf74a20d0, 0x96bf48, 0xf756940a,
-  0x950d1d, 0xf7630799, 0x935d64, 0xf76f7b7d,
-  0x91b01d, 0xf77befb5, 0x900548, 0xf7886442,
-  0x8e5ce5, 0xf794d922, 0x8cb6f5, 0xf7a14e55,
-  0x8b1376, 0xf7adc3db, 0x89726a, 0xf7ba39b3,
-  0x87d3d0, 0xf7c6afdc, 0x8637a9, 0xf7d32657,
-  0x849df4, 0xf7df9d22, 0x8306b2, 0xf7ec143e,
-  0x8171e2, 0xf7f88ba9, 0x7fdf85, 0xf8050364,
-  0x7e4f9b, 0xf8117b6d, 0x7cc223, 0xf81df3c5,
-  0x7b371e, 0xf82a6c6a, 0x79ae8c, 0xf836e55d,
-  0x78286e, 0xf8435e9d, 0x76a4c2, 0xf84fd829,
-  0x752389, 0xf85c5201, 0x73a4c3, 0xf868cc24,
-  0x722871, 0xf8754692, 0x70ae92, 0xf881c14b,
-  0x6f3726, 0xf88e3c4d, 0x6dc22e, 0xf89ab799,
-  0x6c4fa8, 0xf8a7332e, 0x6adf97, 0xf8b3af0c,
-  0x6971f9, 0xf8c02b31, 0x6806ce, 0xf8cca79e,
-  0x669e18, 0xf8d92452, 0x6537d4, 0xf8e5a14d,
-  0x63d405, 0xf8f21e8e, 0x6272aa, 0xf8fe9c15,
-  0x6113c2, 0xf90b19e0, 0x5fb74e, 0xf91797f0,
-  0x5e5d4e, 0xf9241645, 0x5d05c3, 0xf93094dd,
-  0x5bb0ab, 0xf93d13b8, 0x5a5e07, 0xf94992d7,
-  0x590dd8, 0xf9561237, 0x57c01d, 0xf96291d9,
-  0x5674d6, 0xf96f11bc, 0x552c03, 0xf97b91e1,
-  0x53e5a5, 0xf9881245, 0x52a1bb, 0xf99492ea,
-  0x516045, 0xf9a113cd, 0x502145, 0xf9ad94f0,
-  0x4ee4b8, 0xf9ba1651, 0x4daaa1, 0xf9c697f0,
-  0x4c72fe, 0xf9d319cc, 0x4b3dcf, 0xf9df9be6,
-  0x4a0b16, 0xf9ec1e3b, 0x48dad1, 0xf9f8a0cd,
-  0x47ad01, 0xfa05239a, 0x4681a6, 0xfa11a6a3,
-  0x4558c0, 0xfa1e29e5, 0x44324f, 0xfa2aad62,
-  0x430e53, 0xfa373119, 0x41eccc, 0xfa43b508,
-  0x40cdba, 0xfa503930, 0x3fb11d, 0xfa5cbd91,
-  0x3e96f6, 0xfa694229, 0x3d7f44, 0xfa75c6f8,
-  0x3c6a07, 0xfa824bfd, 0x3b573f, 0xfa8ed139,
-  0x3a46ed, 0xfa9b56ab, 0x393910, 0xfaa7dc52,
-  0x382da8, 0xfab4622d, 0x3724b6, 0xfac0e83d,
-  0x361e3a, 0xfacd6e81, 0x351a33, 0xfad9f4f8,
-  0x3418a2, 0xfae67ba2, 0x331986, 0xfaf3027e,
-  0x321ce0, 0xfaff898c, 0x3122b0, 0xfb0c10cb,
-  0x302af5, 0xfb18983b, 0x2f35b1, 0xfb251fdc,
-  0x2e42e2, 0xfb31a7ac, 0x2d5289, 0xfb3e2fac,
-  0x2c64a6, 0xfb4ab7db, 0x2b7939, 0xfb574039,
-  0x2a9042, 0xfb63c8c4, 0x29a9c1, 0xfb70517d,
-  0x28c5b6, 0xfb7cda63, 0x27e421, 0xfb896375,
-  0x270502, 0xfb95ecb4, 0x262859, 0xfba2761e,
-  0x254e27, 0xfbaeffb3, 0x24766a, 0xfbbb8973,
-  0x23a124, 0xfbc8135c, 0x22ce54, 0xfbd49d70,
-  0x21fdfb, 0xfbe127ac, 0x213018, 0xfbedb212,
-  0x2064ab, 0xfbfa3c9f, 0x1f9bb5, 0xfc06c754,
-  0x1ed535, 0xfc135231, 0x1e112b, 0xfc1fdd34,
-  0x1d4f99, 0xfc2c685d, 0x1c907c, 0xfc38f3ac,
-  0x1bd3d6, 0xfc457f21, 0x1b19a7, 0xfc520aba,
-  0x1a61ee, 0xfc5e9678, 0x19acac, 0xfc6b2259,
-  0x18f9e1, 0xfc77ae5e, 0x18498c, 0xfc843a85,
-  0x179bae, 0xfc90c6cf, 0x16f047, 0xfc9d533b,
-  0x164757, 0xfca9dfc8, 0x15a0dd, 0xfcb66c77,
-  0x14fcda, 0xfcc2f945, 0x145b4e, 0xfccf8634,
-  0x13bc39, 0xfcdc1342, 0x131f9b, 0xfce8a06f,
-  0x128574, 0xfcf52dbb, 0x11edc3, 0xfd01bb24,
-  0x11588a, 0xfd0e48ab, 0x10c5c7, 0xfd1ad650,
-  0x10357c, 0xfd276410, 0xfa7a8, 0xfd33f1ed,
-  0xf1c4a, 0xfd407fe6, 0xe9364, 0xfd4d0df9,
-  0xe0cf5, 0xfd599c28, 0xd88fd, 0xfd662a70,
-  0xd077c, 0xfd72b8d2, 0xc8872, 0xfd7f474d,
-  0xc0be0, 0xfd8bd5e1, 0xb91c4, 0xfd98648d,
-  0xb1a20, 0xfda4f351, 0xaa4f3, 0xfdb1822c,
-  0xa323d, 0xfdbe111e, 0x9c1ff, 0xfdcaa027,
-  0x95438, 0xfdd72f45, 0x8e8e8, 0xfde3be78,
-  0x8800f, 0xfdf04dc0, 0x819ae, 0xfdfcdd1d,
-  0x7b5c4, 0xfe096c8d, 0x75452, 0xfe15fc11,
-  0x6f556, 0xfe228ba7, 0x698d3, 0xfe2f1b50,
-  0x63ec6, 0xfe3bab0b, 0x5e731, 0xfe483ad8,
-  0x59214, 0xfe54cab5, 0x53f6e, 0xfe615aa3,
-  0x4ef3f, 0xfe6deaa1, 0x4a188, 0xfe7a7aae,
-  0x45648, 0xfe870aca, 0x40d80, 0xfe939af5,
-  0x3c72f, 0xfea02b2e, 0x38356, 0xfeacbb74,
-  0x341f4, 0xfeb94bc8, 0x3030a, 0xfec5dc28,
-  0x2c697, 0xfed26c94, 0x28c9c, 0xfedefd0c,
-  0x25519, 0xfeeb8d8f, 0x2200d, 0xfef81e1d,
-  0x1ed78, 0xff04aeb5, 0x1bd5c, 0xff113f56,
-  0x18fb6, 0xff1dd001, 0x16489, 0xff2a60b4,
-  0x13bd3, 0xff36f170, 0x11594, 0xff438234,
-  0xf1ce, 0xff5012fe, 0xd07e, 0xff5ca3d0,
-  0xb1a7, 0xff6934a8, 0x9547, 0xff75c585,
-  0x7b5f, 0xff825668, 0x63ee, 0xff8ee750,
-  0x4ef5, 0xff9b783c, 0x3c74, 0xffa8092c,
-  0x2c6a, 0xffb49a1f, 0x1ed8, 0xffc12b16,
-  0x13bd, 0xffcdbc0f, 0xb1a, 0xffda4d09,
-  0x4ef, 0xffe6de05, 0x13c, 0xfff36f02,
-  0x0, 0x0, 0x13c, 0xc90fe,
-  0x4ef, 0x1921fb, 0xb1a, 0x25b2f7,
-  0x13bd, 0x3243f1, 0x1ed8, 0x3ed4ea,
-  0x2c6a, 0x4b65e1, 0x3c74, 0x57f6d4,
-  0x4ef5, 0x6487c4, 0x63ee, 0x7118b0,
-  0x7b5f, 0x7da998, 0x9547, 0x8a3a7b,
-  0xb1a7, 0x96cb58, 0xd07e, 0xa35c30,
-  0xf1ce, 0xafed02, 0x11594, 0xbc7dcc,
-  0x13bd3, 0xc90e90, 0x16489, 0xd59f4c,
-  0x18fb6, 0xe22fff, 0x1bd5c, 0xeec0aa,
-  0x1ed78, 0xfb514b, 0x2200d, 0x107e1e3,
-  0x25519, 0x1147271, 0x28c9c, 0x12102f4,
-  0x2c697, 0x12d936c, 0x3030a, 0x13a23d8,
-  0x341f4, 0x146b438, 0x38356, 0x153448c,
-  0x3c72f, 0x15fd4d2, 0x40d80, 0x16c650b,
-  0x45648, 0x178f536, 0x4a188, 0x1858552,
-  0x4ef3f, 0x192155f, 0x53f6e, 0x19ea55d,
-  0x59214, 0x1ab354b, 0x5e731, 0x1b7c528,
-  0x63ec6, 0x1c454f5, 0x698d3, 0x1d0e4b0,
-  0x6f556, 0x1dd7459, 0x75452, 0x1ea03ef,
-  0x7b5c4, 0x1f69373, 0x819ae, 0x20322e3,
-  0x8800f, 0x20fb240, 0x8e8e8, 0x21c4188,
-  0x95438, 0x228d0bb, 0x9c1ff, 0x2355fd9,
-  0xa323d, 0x241eee2, 0xaa4f3, 0x24e7dd4,
-  0xb1a20, 0x25b0caf, 0xb91c4, 0x2679b73,
-  0xc0be0, 0x2742a1f, 0xc8872, 0x280b8b3,
-  0xd077c, 0x28d472e, 0xd88fd, 0x299d590,
-  0xe0cf5, 0x2a663d8, 0xe9364, 0x2b2f207,
-  0xf1c4a, 0x2bf801a, 0xfa7a8, 0x2cc0e13,
-  0x10357c, 0x2d89bf0, 0x10c5c7, 0x2e529b0,
-  0x11588a, 0x2f1b755, 0x11edc3, 0x2fe44dc,
-  0x128574, 0x30ad245, 0x131f9b, 0x3175f91,
-  0x13bc39, 0x323ecbe, 0x145b4e, 0x33079cc,
-  0x14fcda, 0x33d06bb, 0x15a0dd, 0x3499389,
-  0x164757, 0x3562038, 0x16f047, 0x362acc5,
-  0x179bae, 0x36f3931, 0x18498c, 0x37bc57b,
-  0x18f9e1, 0x38851a2, 0x19acac, 0x394dda7,
-  0x1a61ee, 0x3a16988, 0x1b19a7, 0x3adf546,
-  0x1bd3d6, 0x3ba80df, 0x1c907c, 0x3c70c54,
-  0x1d4f99, 0x3d397a3, 0x1e112b, 0x3e022cc,
-  0x1ed535, 0x3ecadcf, 0x1f9bb5, 0x3f938ac,
-  0x2064ab, 0x405c361, 0x213018, 0x4124dee,
-  0x21fdfb, 0x41ed854, 0x22ce54, 0x42b6290,
-  0x23a124, 0x437eca4, 0x24766a, 0x444768d,
-  0x254e27, 0x451004d, 0x262859, 0x45d89e2,
-  0x270502, 0x46a134c, 0x27e421, 0x4769c8b,
-  0x28c5b6, 0x483259d, 0x29a9c1, 0x48fae83,
-  0x2a9042, 0x49c373c, 0x2b7939, 0x4a8bfc7,
-  0x2c64a6, 0x4b54825, 0x2d5289, 0x4c1d054,
-  0x2e42e2, 0x4ce5854, 0x2f35b1, 0x4dae024,
-  0x302af5, 0x4e767c5, 0x3122b0, 0x4f3ef35,
-  0x321ce0, 0x5007674, 0x331986, 0x50cfd82,
-  0x3418a2, 0x519845e, 0x351a33, 0x5260b08,
-  0x361e3a, 0x532917f, 0x3724b6, 0x53f17c3,
-  0x382da8, 0x54b9dd3, 0x393910, 0x55823ae,
-  0x3a46ed, 0x564a955, 0x3b573f, 0x5712ec7,
-  0x3c6a07, 0x57db403, 0x3d7f44, 0x58a3908,
-  0x3e96f6, 0x596bdd7, 0x3fb11d, 0x5a3426f,
-  0x40cdba, 0x5afc6d0, 0x41eccc, 0x5bc4af8,
-  0x430e53, 0x5c8cee7, 0x44324f, 0x5d5529e,
-  0x4558c0, 0x5e1d61b, 0x4681a6, 0x5ee595d,
-  0x47ad01, 0x5fadc66, 0x48dad1, 0x6075f33,
-  0x4a0b16, 0x613e1c5, 0x4b3dcf, 0x620641a,
-  0x4c72fe, 0x62ce634, 0x4daaa1, 0x6396810,
-  0x4ee4b8, 0x645e9af, 0x502145, 0x6526b10,
-  0x516045, 0x65eec33, 0x52a1bb, 0x66b6d16,
-  0x53e5a5, 0x677edbb, 0x552c03, 0x6846e1f,
-  0x5674d6, 0x690ee44, 0x57c01d, 0x69d6e27,
-  0x590dd8, 0x6a9edc9, 0x5a5e07, 0x6b66d29,
-  0x5bb0ab, 0x6c2ec48, 0x5d05c3, 0x6cf6b23,
-  0x5e5d4e, 0x6dbe9bb, 0x5fb74e, 0x6e86810,
-  0x6113c2, 0x6f4e620, 0x6272aa, 0x70163eb,
-  0x63d405, 0x70de172, 0x6537d4, 0x71a5eb3,
-  0x669e18, 0x726dbae, 0x6806ce, 0x7335862,
-  0x6971f9, 0x73fd4cf, 0x6adf97, 0x74c50f4,
-  0x6c4fa8, 0x758ccd2, 0x6dc22e, 0x7654867,
-  0x6f3726, 0x771c3b3, 0x70ae92, 0x77e3eb5,
-  0x722871, 0x78ab96e, 0x73a4c3, 0x79733dc,
-  0x752389, 0x7a3adff, 0x76a4c2, 0x7b027d7,
-  0x78286e, 0x7bca163, 0x79ae8c, 0x7c91aa3,
-  0x7b371e, 0x7d59396, 0x7cc223, 0x7e20c3b,
-  0x7e4f9b, 0x7ee8493, 0x7fdf85, 0x7fafc9c,
-  0x8171e2, 0x8077457, 0x8306b2, 0x813ebc2,
-  0x849df4, 0x82062de, 0x8637a9, 0x82cd9a9,
-  0x87d3d0, 0x8395024, 0x89726a, 0x845c64d,
-  0x8b1376, 0x8523c25, 0x8cb6f5, 0x85eb1ab,
-  0x8e5ce5, 0x86b26de, 0x900548, 0x8779bbe,
-  0x91b01d, 0x884104b, 0x935d64, 0x8908483,
-  0x950d1d, 0x89cf867, 0x96bf48, 0x8a96bf6,
-  0x9873e4, 0x8b5df30, 0x9a2af3, 0x8c25213,
-  0x9be473, 0x8cec4a0, 0x9da065, 0x8db36d6,
-  0x9f5ec8, 0x8e7a8b5, 0xa11f9d, 0x8f41a3c,
-  0xa2e2e3, 0x9008b6a, 0xa4a89b, 0x90cfc40,
-  0xa670c4, 0x9196cbc, 0xa83b5e, 0x925dcdf,
-  0xaa086a, 0x9324ca7, 0xabd7e6, 0x93ebc14,
-  0xada9d4, 0x94b2b27, 0xaf7e33, 0x95799dd,
-  0xb15502, 0x9640837, 0xb32e42, 0x9707635,
-  0xb509f3, 0x97ce3d5, 0xb6e815, 0x9895118,
-  0xb8c8a7, 0x995bdfd, 0xbaabaa, 0x9a22a83,
-  0xbc911d, 0x9ae96aa, 0xbe7901, 0x9bb0271,
-  0xc06355, 0x9c76dd8, 0xc25019, 0x9d3d8df,
-  0xc43f4d, 0x9e04385, 0xc630f2, 0x9ecadc9,
-  0xc82506, 0x9f917ac, 0xca1b8a, 0xa05812c,
-  0xcc147f, 0xa11ea49, 0xce0fe3, 0xa1e5303,
-  0xd00db6, 0xa2abb59, 0xd20dfa, 0xa37234a,
-  0xd410ad, 0xa438ad7, 0xd615cf, 0xa4ff1fe,
-  0xd81d61, 0xa5c58c0, 0xda2762, 0xa68bf1b,
-  0xdc33d2, 0xa752510, 0xde42b2, 0xa818a9d,
-  0xe05401, 0xa8defc3, 0xe267be, 0xa9a5480,
-  0xe47deb, 0xaa6b8d5, 0xe69686, 0xab31cc1,
-  0xe8b190, 0xabf8043, 0xeacf09, 0xacbe35b,
-  0xeceef1, 0xad84609, 0xef1147, 0xae4a84b,
-  0xf1360b, 0xaf10a22, 0xf35d3e, 0xafd6b8d,
-  0xf586df, 0xb09cc8c, 0xf7b2ee, 0xb162d1d,
-  0xf9e16b, 0xb228d42, 0xfc1257, 0xb2eecf8,
-  0xfe45b0, 0xb3b4c40, 0x1007b77, 0xb47ab19,
-  0x102b3ac, 0xb540982, 0x104ee4f, 0xb60677c,
-  0x1072b5f, 0xb6cc506, 0x1096add, 0xb79221f,
-  0x10bacc8, 0xb857ec7, 0x10df120, 0xb91dafc,
-  0x11037e6, 0xb9e36c0, 0x1128119, 0xbaa9211,
-  0x114ccb9, 0xbb6ecef, 0x1171ac6, 0xbc34759,
-  0x1196b3f, 0xbcfa150, 0x11bbe26, 0xbdbfad1,
-  0x11e1379, 0xbe853de, 0x1206b39, 0xbf4ac75,
-  0x122c566, 0xc010496, 0x12521ff, 0xc0d5c41,
-  0x1278104, 0xc19b374, 0x129e276, 0xc260a31,
-  0x12c4653, 0xc326075, 0x12eac9d, 0xc3eb641,
-  0x1311553, 0xc4b0b94, 0x1338075, 0xc57606e,
-  0x135ee02, 0xc63b4ce, 0x1385dfb, 0xc7008b3,
-  0x13ad060, 0xc7c5c1e, 0x13d4530, 0xc88af0e,
-  0x13fbc6c, 0xc950182, 0x1423613, 0xca1537a,
-  0x144b225, 0xcada4f5, 0x14730a3, 0xcb9f5f3,
-  0x149b18b, 0xcc64673, 0x14c34df, 0xcd29676,
-  0x14eba9d, 0xcdee5f9, 0x15142c6, 0xceb34fe,
-  0x153cd5a, 0xcf78383, 0x1565a58, 0xd03d189,
-  0x158e9c1, 0xd101f0e, 0x15b7b94, 0xd1c6c11,
-  0x15e0fd1, 0xd28b894, 0x160a678, 0xd350495,
-  0x1633f8a, 0xd415013, 0x165db05, 0xd4d9b0e,
-  0x16878eb, 0xd59e586, 0x16b193a, 0xd662f7b,
-  0x16dbbf3, 0xd7278eb, 0x1706115, 0xd7ec1d6,
-  0x17308a1, 0xd8b0a3d, 0x175b296, 0xd97521d,
-  0x1785ef4, 0xda39978, 0x17b0dbb, 0xdafe04b,
-  0x17dbeec, 0xdbc2698, 0x1807285, 0xdc86c5d,
-  0x1832888, 0xdd4b19a, 0x185e0f3, 0xde0f64f,
-  0x1889bc6, 0xded3a7b, 0x18b5903, 0xdf97e1d,
-  0x18e18a7, 0xe05c135, 0x190dab4, 0xe1203c3,
-  0x1939f29, 0xe1e45c6, 0x1966606, 0xe2a873e,
-  0x1992f4c, 0xe36c82a, 0x19bfaf9, 0xe430889,
-  0x19ec90d, 0xe4f485c, 0x1a1998a, 0xe5b87a2,
-  0x1a46c6e, 0xe67c65a, 0x1a741b9, 0xe740483,
-  0x1aa196c, 0xe80421e, 0x1acf386, 0xe8c7f2a,
-  0x1afd007, 0xe98bba7, 0x1b2aef0, 0xea4f793,
-  0x1b5903f, 0xeb132ef, 0x1b873f5, 0xebd6db9,
-  0x1bb5a11, 0xec9a7f3, 0x1be4294, 0xed5e19a,
-  0x1c12d7e, 0xee21aaf, 0x1c41ace, 0xeee5331,
-  0x1c70a84, 0xefa8b20, 0x1c9fca0, 0xf06c27a,
-  0x1ccf122, 0xf12f941, 0x1cfe80a, 0xf1f2f73,
-  0x1d2e158, 0xf2b650f, 0x1d5dd0c, 0xf379a16,
-  0x1d8db25, 0xf43ce86, 0x1dbdba3, 0xf500260,
-  0x1dede87, 0xf5c35a3, 0x1e1e3d0, 0xf68684e,
-  0x1e4eb7e, 0xf749a61, 0x1e7f591, 0xf80cbdc,
-  0x1eb0209, 0xf8cfcbe, 0x1ee10e5, 0xf992d06,
-  0x1f12227, 0xfa55cb4, 0x1f435cc, 0xfb18bc8,
-  0x1f74bd6, 0xfbdba40, 0x1fa6445, 0xfc9e81e,
-  0x1fd7f17, 0xfd6155f, 0x2009c4e, 0xfe24205,
-  0x203bbe8, 0xfee6e0d, 0x206dde6, 0xffa9979,
-  0x20a0248, 0x1006c446, 0x20d290d, 0x1012ee76,
-  0x2105236, 0x101f1807, 0x2137dc2, 0x102b40f8,
-  0x216abb1, 0x1037694b, 0x219dc03, 0x104390fd,
-  0x21d0eb8, 0x104fb80e, 0x22043d0, 0x105bde7f,
-  0x2237b4b, 0x1068044e, 0x226b528, 0x1074297b,
-  0x229f167, 0x10804e06, 0x22d3009, 0x108c71ee,
-  0x230710d, 0x10989532, 0x233b473, 0x10a4b7d3,
-  0x236fa3b, 0x10b0d9d0, 0x23a4265, 0x10bcfb28,
-  0x23d8cf1, 0x10c91bda, 0x240d9de, 0x10d53be7,
-  0x244292c, 0x10e15b4e, 0x2477adc, 0x10ed7a0e,
-  0x24aceed, 0x10f99827, 0x24e255e, 0x1105b599,
-  0x2517e31, 0x1111d263, 0x254d965, 0x111dee84,
-  0x25836f9, 0x112a09fc, 0x25b96ee, 0x113624cb,
-  0x25ef943, 0x11423ef0, 0x2625df8, 0x114e586a,
-  0x265c50e, 0x115a713a, 0x2692e83, 0x1166895f,
-  0x26c9a58, 0x1172a0d7, 0x270088e, 0x117eb7a4,
-  0x2737922, 0x118acdc4, 0x276ec16, 0x1196e337,
-  0x27a616a, 0x11a2f7fc, 0x27dd91c, 0x11af0c13,
-  0x281532e, 0x11bb1f7c, 0x284cf9f, 0x11c73235,
-  0x2884e6e, 0x11d3443f, 0x28bcf9c, 0x11df5599,
-  0x28f5329, 0x11eb6643, 0x292d914, 0x11f7763c,
-  0x296615d, 0x12038584, 0x299ec05, 0x120f941a,
-  0x29d790a, 0x121ba1fd, 0x2a1086d, 0x1227af2e,
-  0x2a49a2e, 0x1233bbac, 0x2a82e4d, 0x123fc776,
-  0x2abc4c9, 0x124bd28c, 0x2af5da2, 0x1257dced,
-  0x2b2f8d8, 0x1263e699, 0x2b6966c, 0x126fef90,
-  0x2ba365c, 0x127bf7d1, 0x2bdd8a9, 0x1287ff5b,
-  0x2c17d52, 0x1294062f, 0x2c52459, 0x12a00c4b,
-  0x2c8cdbb, 0x12ac11af, 0x2cc7979, 0x12b8165b,
-  0x2d02794, 0x12c41a4f, 0x2d3d80a, 0x12d01d89,
-  0x2d78add, 0x12dc2009, 0x2db400a, 0x12e821cf,
-  0x2def794, 0x12f422db, 0x2e2b178, 0x1300232c,
-  0x2e66db8, 0x130c22c1, 0x2ea2c53, 0x1318219a,
-  0x2eded49, 0x13241fb6, 0x2f1b099, 0x13301d16,
-  0x2f57644, 0x133c19b8, 0x2f93e4a, 0x1348159d,
-  0x2fd08a9, 0x135410c3, 0x300d563, 0x13600b2a,
-  0x304a477, 0x136c04d2, 0x30875e5, 0x1377fdbb,
-  0x30c49ad, 0x1383f5e3, 0x3101fce, 0x138fed4b,
-  0x313f848, 0x139be3f2, 0x317d31c, 0x13a7d9d7,
-  0x31bb049, 0x13b3cefa, 0x31f8fcf, 0x13bfc35b,
-  0x32371ae, 0x13cbb6f8, 0x32755e5, 0x13d7a9d3,
-  0x32b3c75, 0x13e39be9, 0x32f255e, 0x13ef8d3c,
-  0x333109e, 0x13fb7dc9, 0x336fe37, 0x14076d91,
-  0x33aee27, 0x14135c94, 0x33ee070, 0x141f4ad1,
-  0x342d510, 0x142b3846, 0x346cc07, 0x143724f5,
-  0x34ac556, 0x144310dd, 0x34ec0fc, 0x144efbfc,
-  0x352bef9, 0x145ae653, 0x356bf4d, 0x1466cfe1,
-  0x35ac1f7, 0x1472b8a5, 0x35ec6f8, 0x147ea0a0,
-  0x362ce50, 0x148a87d1, 0x366d7fd, 0x14966e36,
-  0x36ae401, 0x14a253d1, 0x36ef25b, 0x14ae38a0,
-  0x373030a, 0x14ba1ca3, 0x377160f, 0x14c5ffd9,
-  0x37b2b6a, 0x14d1e242, 0x37f4319, 0x14ddc3de,
-  0x3835d1e, 0x14e9a4ac, 0x3877978, 0x14f584ac,
-  0x38b9827, 0x150163dc, 0x38fb92a, 0x150d423d,
-  0x393dc82, 0x15191fcf, 0x398022f, 0x1524fc90,
-  0x39c2a2f, 0x1530d881, 0x3a05484, 0x153cb3a0,
-  0x3a4812c, 0x15488dee, 0x3a8b028, 0x1554676a,
-  0x3ace178, 0x15604013, 0x3b1151b, 0x156c17e9,
-  0x3b54b11, 0x1577eeec, 0x3b9835a, 0x1583c51b,
-  0x3bdbdf6, 0x158f9a76, 0x3c1fae5, 0x159b6efb,
-  0x3c63a26, 0x15a742ac, 0x3ca7bba, 0x15b31587,
-  0x3cebfa0, 0x15bee78c, 0x3d305d8, 0x15cab8ba,
-  0x3d74e62, 0x15d68911, 0x3db993e, 0x15e25890,
-  0x3dfe66c, 0x15ee2738, 0x3e435ea, 0x15f9f507,
-  0x3e887bb, 0x1605c1fd, 0x3ecdbdc, 0x16118e1a,
-  0x3f1324e, 0x161d595d, 0x3f58b10, 0x162923c5,
-  0x3f9e624, 0x1634ed53, 0x3fe4388, 0x1640b606,
-  0x402a33c, 0x164c7ddd, 0x4070540, 0x165844d8,
-  0x40b6994, 0x16640af7, 0x40fd037, 0x166fd039,
-  0x414392b, 0x167b949d, 0x418a46d, 0x16875823,
-  0x41d11ff, 0x16931acb, 0x42181e0, 0x169edc94,
-  0x425f410, 0x16aa9d7e, 0x42a688f, 0x16b65d88,
-  0x42edf5c, 0x16c21cb2, 0x4335877, 0x16cddafb,
-  0x437d3e1, 0x16d99864, 0x43c5199, 0x16e554ea,
-  0x440d19e, 0x16f1108f, 0x44553f2, 0x16fccb51,
-  0x449d892, 0x17088531, 0x44e5f80, 0x17143e2d,
-  0x452e8bc, 0x171ff646, 0x4577444, 0x172bad7a,
-  0x45c0219, 0x173763c9, 0x460923b, 0x17431933,
-  0x46524a9, 0x174ecdb8, 0x469b963, 0x175a8157,
-  0x46e5069, 0x1766340f, 0x472e9bc, 0x1771e5e0,
-  0x477855a, 0x177d96ca, 0x47c2344, 0x178946cc,
-  0x480c379, 0x1794f5e6, 0x48565f9, 0x17a0a417,
-  0x48a0ac4, 0x17ac515f, 0x48eb1db, 0x17b7fdbd,
-  0x4935b3c, 0x17c3a931, 0x49806e7, 0x17cf53bb,
-  0x49cb4dd, 0x17dafd59, 0x4a1651c, 0x17e6a60c,
-  0x4a617a6, 0x17f24dd3, 0x4aacc7a, 0x17fdf4ae,
-  0x4af8397, 0x18099a9c, 0x4b43cfd, 0x18153f9d,
-  0x4b8f8ad, 0x1820e3b0, 0x4bdb6a6, 0x182c86d5,
-  0x4c276e8, 0x1838290c, 0x4c73972, 0x1843ca53,
-  0x4cbfe45, 0x184f6aab, 0x4d0c560, 0x185b0a13,
-  0x4d58ec3, 0x1866a88a, 0x4da5a6f, 0x18724611,
-  0x4df2862, 0x187de2a7, 0x4e3f89c, 0x18897e4a,
-  0x4e8cb1e, 0x189518fc, 0x4ed9fe7, 0x18a0b2bb,
-  0x4f276f7, 0x18ac4b87, 0x4f7504e, 0x18b7e35f,
-  0x4fc2bec, 0x18c37a44, 0x50109d0, 0x18cf1034,
-  0x505e9fb, 0x18daa52f, 0x50acc6b, 0x18e63935,
-  0x50fb121, 0x18f1cc45, 0x514981d, 0x18fd5e5f,
-  0x519815f, 0x1908ef82, 0x51e6ce6, 0x19147fae,
-  0x5235ab2, 0x19200ee3, 0x5284ac3, 0x192b9d1f,
-  0x52d3d18, 0x19372a64, 0x53231b3, 0x1942b6af,
-  0x5372891, 0x194e4201, 0x53c21b4, 0x1959cc5a,
-  0x5411d1b, 0x196555b8, 0x5461ac6, 0x1970de1b,
-  0x54b1ab4, 0x197c6584, 0x5501ce5, 0x1987ebf0,
-  0x555215a, 0x19937161, 0x55a2812, 0x199ef5d6,
-  0x55f310d, 0x19aa794d, 0x5643c4a, 0x19b5fbc8,
-  0x56949ca, 0x19c17d44, 0x56e598c, 0x19ccfdc2,
-  0x5736b90, 0x19d87d42, 0x5787fd6, 0x19e3fbc3,
-  0x57d965d, 0x19ef7944, 0x582af26, 0x19faf5c5,
-  0x587ca31, 0x1a067145, 0x58ce77c, 0x1a11ebc5,
-  0x5920708, 0x1a1d6544, 0x59728d5, 0x1a28ddc0,
-  0x59c4ce3, 0x1a34553b, 0x5a17330, 0x1a3fcbb3,
-  0x5a69bbe, 0x1a4b4128, 0x5abc68c, 0x1a56b599,
-  0x5b0f399, 0x1a622907, 0x5b622e6, 0x1a6d9b70,
-  0x5bb5472, 0x1a790cd4, 0x5c0883d, 0x1a847d33,
-  0x5c5be47, 0x1a8fec8c, 0x5caf690, 0x1a9b5adf,
-  0x5d03118, 0x1aa6c82b, 0x5d56ddd, 0x1ab23471,
-  0x5daace1, 0x1abd9faf, 0x5dfee22, 0x1ac909e5,
-  0x5e531a1, 0x1ad47312, 0x5ea775e, 0x1adfdb37,
-  0x5efbf58, 0x1aeb4253, 0x5f5098f, 0x1af6a865,
-  0x5fa5603, 0x1b020d6c, 0x5ffa4b3, 0x1b0d716a,
-  0x604f5a0, 0x1b18d45c, 0x60a48c9, 0x1b243643,
-  0x60f9e2e, 0x1b2f971e, 0x614f5cf, 0x1b3af6ec,
-  0x61a4fac, 0x1b4655ae, 0x61fabc4, 0x1b51b363,
-  0x6250a18, 0x1b5d100a, 0x62a6aa6, 0x1b686ba3,
-  0x62fcd6f, 0x1b73c62d, 0x6353273, 0x1b7f1fa9,
-  0x63a99b1, 0x1b8a7815, 0x6400329, 0x1b95cf71,
-  0x6456edb, 0x1ba125bd, 0x64adcc7, 0x1bac7af9,
-  0x6504ced, 0x1bb7cf23, 0x655bf4c, 0x1bc3223c,
-  0x65b33e4, 0x1bce7442, 0x660aab5, 0x1bd9c537,
-  0x66623be, 0x1be51518, 0x66b9f01, 0x1bf063e6,
-  0x6711c7b, 0x1bfbb1a0, 0x6769c2e, 0x1c06fe46,
-  0x67c1e18, 0x1c1249d8, 0x681a23a, 0x1c1d9454,
-  0x6872894, 0x1c28ddbb, 0x68cb124, 0x1c34260c,
-  0x6923bec, 0x1c3f6d47, 0x697c8eb, 0x1c4ab36b,
-  0x69d5820, 0x1c55f878, 0x6a2e98b, 0x1c613c6d,
-  0x6a87d2d, 0x1c6c7f4a, 0x6ae1304, 0x1c77c10e,
-  0x6b3ab12, 0x1c8301b9, 0x6b94554, 0x1c8e414b,
-  0x6bee1cd, 0x1c997fc4, 0x6c4807a, 0x1ca4bd21,
-  0x6ca215c, 0x1caff965, 0x6cfc472, 0x1cbb348d,
-  0x6d569be, 0x1cc66e99, 0x6db113d, 0x1cd1a78a,
-  0x6e0baf0, 0x1cdcdf5e, 0x6e666d7, 0x1ce81615,
-  0x6ec14f2, 0x1cf34baf, 0x6f1c540, 0x1cfe802b,
-  0x6f777c1, 0x1d09b389, 0x6fd2c75, 0x1d14e5c9,
-  0x702e35c, 0x1d2016e9, 0x7089c75, 0x1d2b46ea,
-  0x70e57c0, 0x1d3675cb, 0x714153e, 0x1d41a38c,
-  0x719d4ed, 0x1d4cd02c, 0x71f96ce, 0x1d57fbaa,
-  0x7255ae0, 0x1d632608, 0x72b2123, 0x1d6e4f43,
-  0x730e997, 0x1d79775c, 0x736b43c, 0x1d849e51,
-  0x73c8111, 0x1d8fc424, 0x7425016, 0x1d9ae8d2,
-  0x748214c, 0x1da60c5d, 0x74df4b1, 0x1db12ec3,
-  0x753ca46, 0x1dbc5004, 0x759a20a, 0x1dc7701f,
-  0x75f7bfe, 0x1dd28f15, 0x7655820, 0x1dddace4,
-  0x76b3671, 0x1de8c98c, 0x77116f0, 0x1df3e50d,
-  0x776f99d, 0x1dfeff67, 0x77cde79, 0x1e0a1898,
-  0x782c582, 0x1e1530a1, 0x788aeb9, 0x1e204781,
-  0x78e9a1d, 0x1e2b5d38, 0x79487ae, 0x1e3671c5,
-  0x79a776c, 0x1e418528, 0x7a06957, 0x1e4c9760,
-  0x7a65d6e, 0x1e57a86d, 0x7ac53b1, 0x1e62b84f,
-  0x7b24c20, 0x1e6dc705, 0x7b846ba, 0x1e78d48e,
-  0x7be4381, 0x1e83e0eb, 0x7c44272, 0x1e8eec1b,
-  0x7ca438f, 0x1e99f61d, 0x7d046d6, 0x1ea4fef0,
-  0x7d64c47, 0x1eb00696, 0x7dc53e3, 0x1ebb0d0d,
-  0x7e25daa, 0x1ec61254, 0x7e8699a, 0x1ed1166b,
-  0x7ee77b3, 0x1edc1953, 0x7f487f6, 0x1ee71b0a,
-  0x7fa9a62, 0x1ef21b90, 0x800aef7, 0x1efd1ae4,
-  0x806c5b5, 0x1f081907, 0x80cde9b, 0x1f1315f7,
-  0x812f9a9, 0x1f1e11b5, 0x81916df, 0x1f290c3f,
-  0x81f363d, 0x1f340596, 0x82557c3, 0x1f3efdb9,
-  0x82b7b70, 0x1f49f4a8, 0x831a143, 0x1f54ea62,
-  0x837c93e, 0x1f5fdee6, 0x83df35f, 0x1f6ad235,
-  0x8441fa6, 0x1f75c44e, 0x84a4e14, 0x1f80b531,
-  0x8507ea7, 0x1f8ba4dc, 0x856b160, 0x1f969350,
-  0x85ce63e, 0x1fa1808c, 0x8631d42, 0x1fac6c91,
-  0x869566a, 0x1fb7575c, 0x86f91b7, 0x1fc240ef,
-  0x875cf28, 0x1fcd2948, 0x87c0ebd, 0x1fd81067,
-  0x8825077, 0x1fe2f64c, 0x8889454, 0x1feddaf6,
-  0x88eda54, 0x1ff8be65, 0x8952278, 0x2003a099,
-  0x89b6cbf, 0x200e8190, 0x8a1b928, 0x2019614c,
-  0x8a807b4, 0x20243fca, 0x8ae5862, 0x202f1d0b,
-  0x8b4ab32, 0x2039f90f, 0x8bb0023, 0x2044d3d4,
-  0x8c15736, 0x204fad5b, 0x8c7b06b, 0x205a85a3,
-  0x8ce0bc0, 0x20655cac, 0x8d46936, 0x20703275,
-  0x8dac8cd, 0x207b06fe, 0x8e12a84, 0x2085da46,
-  0x8e78e5b, 0x2090ac4d, 0x8edf452, 0x209b7d13,
-  0x8f45c68, 0x20a64c97, 0x8fac69e, 0x20b11ad9,
-  0x90132f2, 0x20bbe7d8, 0x907a166, 0x20c6b395,
-  0x90e11f7, 0x20d17e0d, 0x91484a8, 0x20dc4742,
-  0x91af976, 0x20e70f32, 0x9217062, 0x20f1d5de,
-  0x927e96b, 0x20fc9b44, 0x92e6492, 0x21075f65,
-  0x934e1d6, 0x21122240, 0x93b6137, 0x211ce3d5,
-  0x941e2b4, 0x2127a423, 0x948664d, 0x21326329,
-  0x94eec03, 0x213d20e8, 0x95573d4, 0x2147dd5f,
-  0x95bfdc1, 0x2152988d, 0x96289c9, 0x215d5273,
-  0x96917ec, 0x21680b0f, 0x96fa82a, 0x2172c262,
-  0x9763a83, 0x217d786a, 0x97ccef5, 0x21882d28,
-  0x9836582, 0x2192e09b, 0x989fe29, 0x219d92c2,
-  0x99098e9, 0x21a8439e, 0x99735c2, 0x21b2f32e,
-  0x99dd4b4, 0x21bda171, 0x9a475bf, 0x21c84e67,
-  0x9ab18e3, 0x21d2fa0f, 0x9b1be1e, 0x21dda46a,
-  0x9b86572, 0x21e84d76, 0x9bf0edd, 0x21f2f534,
-  0x9c5ba60, 0x21fd9ba3, 0x9cc67fa, 0x220840c2,
-  0x9d317ab, 0x2212e492, 0x9d9c973, 0x221d8711,
-  0x9e07d51, 0x2228283f, 0x9e73346, 0x2232c81c,
-  0x9edeb50, 0x223d66a8, 0x9f4a570, 0x224803e2,
-  0x9fb61a5, 0x22529fca, 0xa021fef, 0x225d3a5e,
-  0xa08e04f, 0x2267d3a0, 0xa0fa2c3, 0x22726b8e,
-  0xa16674b, 0x227d0228, 0xa1d2de7, 0x2287976e,
-  0xa23f698, 0x22922b5e, 0xa2ac15b, 0x229cbdfa,
-  0xa318e32, 0x22a74f40, 0xa385d1d, 0x22b1df30,
-  0xa3f2e19, 0x22bc6dca, 0xa460129, 0x22c6fb0c,
-  0xa4cd64b, 0x22d186f8, 0xa53ad7e, 0x22dc118c,
-  0xa5a86c4, 0x22e69ac8, 0xa61621b, 0x22f122ab,
-  0xa683f83, 0x22fba936, 0xa6f1efc, 0x23062e67,
-  0xa760086, 0x2310b23e, 0xa7ce420, 0x231b34bc,
-  0xa83c9ca, 0x2325b5df, 0xa8ab184, 0x233035a7,
-  0xa919b4e, 0x233ab414, 0xa988727, 0x23453125,
-  0xa9f750f, 0x234facda, 0xaa66506, 0x235a2733,
-  0xaad570c, 0x2364a02e, 0xab44b1f, 0x236f17cc,
-  0xabb4141, 0x23798e0d, 0xac23971, 0x238402ef,
-  0xac933ae, 0x238e7673, 0xad02ff8, 0x2398e898,
-  0xad72e4f, 0x23a3595e, 0xade2eb3, 0x23adc8c4,
-  0xae53123, 0x23b836ca, 0xaec35a0, 0x23c2a36f,
-  0xaf33c28, 0x23cd0eb3, 0xafa44bc, 0x23d77896,
-  0xb014f5b, 0x23e1e117, 0xb085c05, 0x23ec4837,
-  0xb0f6aba, 0x23f6adf3, 0xb167b79, 0x2401124d,
-  0xb1d8e43, 0x240b7543, 0xb24a316, 0x2415d6d5,
-  0xb2bb9f4, 0x24203704, 0xb32d2da, 0x242a95ce,
-  0xb39edca, 0x2434f332, 0xb410ac3, 0x243f4f32,
-  0xb4829c4, 0x2449a9cc, 0xb4f4acd, 0x245402ff,
-  0xb566ddf, 0x245e5acc, 0xb5d92f8, 0x2468b132,
-  0xb64ba19, 0x24730631, 0xb6be341, 0x247d59c8,
-  0xb730e70, 0x2487abf7, 0xb7a3ba5, 0x2491fcbe,
-  0xb816ae1, 0x249c4c1b, 0xb889c23, 0x24a69a0f,
-  0xb8fcf6b, 0x24b0e699, 0xb9704b9, 0x24bb31ba,
-  0xb9e3c0b, 0x24c57b6f, 0xba57563, 0x24cfc3ba,
-  0xbacb0bf, 0x24da0a9a, 0xbb3ee20, 0x24e4500e,
-  0xbbb2d85, 0x24ee9415, 0xbc26eee, 0x24f8d6b0,
-  0xbc9b25a, 0x250317df, 0xbd0f7ca, 0x250d57a0,
-  0xbd83f3d, 0x251795f3, 0xbdf88b3, 0x2521d2d8,
-  0xbe6d42b, 0x252c0e4f, 0xbee21a5, 0x25364857,
-  0xbf57121, 0x254080ef, 0xbfcc29f, 0x254ab818,
-  0xc04161e, 0x2554edd1, 0xc0b6b9e, 0x255f2219,
-  0xc12c31f, 0x256954f1, 0xc1a1ca0, 0x25738657,
-  0xc217822, 0x257db64c, 0xc28d5a3, 0x2587e4cf,
-  0xc303524, 0x259211df, 0xc3796a5, 0x259c3d7c,
-  0xc3efa25, 0x25a667a7, 0xc465fa3, 0x25b0905d,
-  0xc4dc720, 0x25bab7a0, 0xc55309b, 0x25c4dd6e,
-  0xc5c9c14, 0x25cf01c8, 0xc64098b, 0x25d924ac,
-  0xc6b78ff, 0x25e3461b, 0xc72ea70, 0x25ed6614,
-  0xc7a5dde, 0x25f78497, 0xc81d349, 0x2601a1a2,
-  0xc894aaf, 0x260bbd37, 0xc90c412, 0x2615d754,
-  0xc983f70, 0x261feffa, 0xc9fbcca, 0x262a0727,
-  0xca73c1e, 0x26341cdb, 0xcaebd6e, 0x263e3117,
-  0xcb640b8, 0x264843d9, 0xcbdc5fc, 0x26525521,
-  0xcc54d3a, 0x265c64ef, 0xcccd671, 0x26667342,
-  0xcd461a2, 0x2670801a, 0xcdbeecc, 0x267a8b77,
-  0xce37def, 0x26849558, 0xceb0f0a, 0x268e9dbd,
-  0xcf2a21d, 0x2698a4a6, 0xcfa3729, 0x26a2aa11,
-  0xd01ce2b, 0x26acadff, 0xd096725, 0x26b6b070,
-  0xd110216, 0x26c0b162, 0xd189efe, 0x26cab0d6,
-  0xd203ddc, 0x26d4aecb, 0xd27deb0, 0x26deab41,
-  0xd2f817b, 0x26e8a637, 0xd37263a, 0x26f29fad,
-  0xd3eccef, 0x26fc97a3, 0xd467599, 0x27068e18,
-  0xd4e2037, 0x2710830c, 0xd55ccca, 0x271a767e,
-  0xd5d7b50, 0x2724686e, 0xd652bcb, 0x272e58dc,
-  0xd6cde39, 0x273847c8, 0xd74929a, 0x27423530,
-  0xd7c48ee, 0x274c2115, 0xd840134, 0x27560b76,
-  0xd8bbb6d, 0x275ff452, 0xd937798, 0x2769dbaa,
-  0xd9b35b4, 0x2773c17d, 0xda2f5c2, 0x277da5cb,
-  0xdaab7c0, 0x27878893, 0xdb27bb0, 0x279169d5,
-  0xdba4190, 0x279b4990, 0xdc20960, 0x27a527c4,
-  0xdc9d320, 0x27af0472, 0xdd19ed0, 0x27b8df97,
-  0xdd96c6f, 0x27c2b934, 0xde13bfd, 0x27cc9149,
-  0xde90d79, 0x27d667d5, 0xdf0e0e4, 0x27e03cd8,
-  0xdf8b63d, 0x27ea1052, 0xe008d84, 0x27f3e241,
-  0xe0866b8, 0x27fdb2a7, 0xe1041d9, 0x28078181,
-  0xe181ee8, 0x28114ed0, 0xe1ffde2, 0x281b1a94,
-  0xe27dec9, 0x2824e4cc, 0xe2fc19c, 0x282ead78,
-  0xe37a65b, 0x28387498, 0xe3f8d05, 0x28423a2a,
-  0xe47759a, 0x284bfe2f, 0xe4f6019, 0x2855c0a6,
-  0xe574c84, 0x285f8190, 0xe5f3ad8, 0x286940ea,
-  0xe672b16, 0x2872feb6, 0xe6f1d3d, 0x287cbaf3,
-  0xe77114e, 0x288675a0, 0xe7f0748, 0x28902ebd,
-  0xe86ff2a, 0x2899e64a, 0xe8ef8f4, 0x28a39c46,
-  0xe96f4a7, 0x28ad50b1, 0xe9ef241, 0x28b7038b,
-  0xea6f1c2, 0x28c0b4d2, 0xeaef32b, 0x28ca6488,
-  0xeb6f67a, 0x28d412ab, 0xebefbb0, 0x28ddbf3b,
-  0xec702cb, 0x28e76a37, 0xecf0bcd, 0x28f113a0,
-  0xed716b4, 0x28fabb75, 0xedf2380, 0x290461b5,
-  0xee73231, 0x290e0661, 0xeef42c7, 0x2917a977,
-  0xef75541, 0x29214af8, 0xeff699f, 0x292aeae3,
-  0xf077fe1, 0x29348937, 0xf0f9805, 0x293e25f5,
-  0xf17b20d, 0x2947c11c, 0xf1fcdf8, 0x29515aab,
-  0xf27ebc5, 0x295af2a3, 0xf300b74, 0x29648902,
-  0xf382d05, 0x296e1dc9, 0xf405077, 0x2977b0f7,
-  0xf4875ca, 0x2981428c, 0xf509cfe, 0x298ad287,
-  0xf58c613, 0x299460e8, 0xf60f108, 0x299dedaf,
-  0xf691ddd, 0x29a778db, 0xf714c91, 0x29b1026c,
-  0xf797d24, 0x29ba8a61, 0xf81af97, 0x29c410ba,
-  0xf89e3e8, 0x29cd9578, 0xf921a17, 0x29d71899,
-  0xf9a5225, 0x29e09a1c, 0xfa28c10, 0x29ea1a03,
-  0xfaac7d8, 0x29f3984c, 0xfb3057d, 0x29fd14f6,
-  0xfbb4500, 0x2a069003, 0xfc3865e, 0x2a100970,
-  0xfcbc999, 0x2a19813f, 0xfd40eaf, 0x2a22f76e,
-  0xfdc55a1, 0x2a2c6bfd, 0xfe49e6d, 0x2a35deeb,
-  0xfece915, 0x2a3f503a, 0xff53597, 0x2a48bfe7,
-  0xffd83f4, 0x2a522df3, 0x1005d42a, 0x2a5b9a5d,
-  0x100e2639, 0x2a650525, 0x10167a22, 0x2a6e6e4b,
-  0x101ecfe4, 0x2a77d5ce, 0x1027277e, 0x2a813bae,
-  0x102f80f1, 0x2a8a9fea, 0x1037dc3b, 0x2a940283,
-  0x1040395d, 0x2a9d6377, 0x10489856, 0x2aa6c2c6,
-  0x1050f926, 0x2ab02071, 0x10595bcd, 0x2ab97c77,
-  0x1061c04a, 0x2ac2d6d6, 0x106a269d, 0x2acc2f90,
-  0x10728ec6, 0x2ad586a3, 0x107af8c4, 0x2adedc10,
-  0x10836497, 0x2ae82fd5, 0x108bd23f, 0x2af181f3,
-  0x109441bb, 0x2afad269, 0x109cb30b, 0x2b042137,
-  0x10a5262f, 0x2b0d6e5c, 0x10ad9b26, 0x2b16b9d9,
-  0x10b611f1, 0x2b2003ac, 0x10be8a8d, 0x2b294bd5,
-  0x10c704fd, 0x2b329255, 0x10cf813e, 0x2b3bd72a,
-  0x10d7ff51, 0x2b451a55, 0x10e07f36, 0x2b4e5bd4,
-  0x10e900ec, 0x2b579ba8, 0x10f18472, 0x2b60d9d0,
-  0x10fa09c9, 0x2b6a164d, 0x110290f0, 0x2b73511c,
-  0x110b19e7, 0x2b7c8a3f, 0x1113a4ad, 0x2b85c1b5,
-  0x111c3142, 0x2b8ef77d, 0x1124bfa6, 0x2b982b97,
-  0x112d4fd9, 0x2ba15e03, 0x1135e1d9, 0x2baa8ec0,
-  0x113e75a8, 0x2bb3bdce, 0x11470b44, 0x2bbceb2d,
-  0x114fa2ad, 0x2bc616dd, 0x11583be2, 0x2bcf40dc,
-  0x1160d6e5, 0x2bd8692b, 0x116973b3, 0x2be18fc9,
-  0x1172124d, 0x2beab4b6, 0x117ab2b3, 0x2bf3d7f2,
-  0x118354e4, 0x2bfcf97c, 0x118bf8e0, 0x2c061953,
-  0x11949ea6, 0x2c0f3779, 0x119d4636, 0x2c1853eb,
-  0x11a5ef90, 0x2c216eaa, 0x11ae9ab4, 0x2c2a87b6,
-  0x11b747a0, 0x2c339f0e, 0x11bff656, 0x2c3cb4b1,
-  0x11c8a6d4, 0x2c45c8a0, 0x11d1591a, 0x2c4edada,
-  0x11da0d28, 0x2c57eb5e, 0x11e2c2fd, 0x2c60fa2d,
-  0x11eb7a9a, 0x2c6a0746, 0x11f433fd, 0x2c7312a9,
-  0x11fcef27, 0x2c7c1c55, 0x1205ac17, 0x2c85244a,
-  0x120e6acc, 0x2c8e2a87, 0x12172b48, 0x2c972f0d,
-  0x121fed88, 0x2ca031da, 0x1228b18d, 0x2ca932ef,
-  0x12317756, 0x2cb2324c, 0x123a3ee4, 0x2cbb2fef,
-  0x12430835, 0x2cc42bd9, 0x124bd34a, 0x2ccd2609,
-  0x1254a021, 0x2cd61e7f, 0x125d6ebc, 0x2cdf153a,
-  0x12663f19, 0x2ce80a3a, 0x126f1138, 0x2cf0fd80,
-  0x1277e518, 0x2cf9ef09, 0x1280babb, 0x2d02ded7,
-  0x1289921e, 0x2d0bcce8, 0x12926b41, 0x2d14b93d,
-  0x129b4626, 0x2d1da3d5, 0x12a422ca, 0x2d268cb0,
-  0x12ad012e, 0x2d2f73cd, 0x12b5e151, 0x2d38592c,
-  0x12bec333, 0x2d413ccd, 0x12c7a6d4, 0x2d4a1eaf,
-  0x12d08c33, 0x2d52fed2, 0x12d97350, 0x2d5bdd36,
-  0x12e25c2b, 0x2d64b9da, 0x12eb46c3, 0x2d6d94bf,
-  0x12f43318, 0x2d766de2, 0x12fd2129, 0x2d7f4545,
-  0x130610f7, 0x2d881ae8, 0x130f0280, 0x2d90eec8,
-  0x1317f5c6, 0x2d99c0e7, 0x1320eac6, 0x2da29144,
-  0x1329e181, 0x2dab5fdf, 0x1332d9f7, 0x2db42cb6,
-  0x133bd427, 0x2dbcf7cb, 0x1344d011, 0x2dc5c11c,
-  0x134dcdb4, 0x2dce88aa, 0x1356cd11, 0x2dd74e73,
-  0x135fce26, 0x2de01278, 0x1368d0f3, 0x2de8d4b8,
-  0x1371d579, 0x2df19534, 0x137adbb6, 0x2dfa53e9,
-  0x1383e3ab, 0x2e0310d9, 0x138ced57, 0x2e0bcc03,
-  0x1395f8ba, 0x2e148566, 0x139f05d3, 0x2e1d3d03,
-  0x13a814a2, 0x2e25f2d8, 0x13b12526, 0x2e2ea6e6,
-  0x13ba3760, 0x2e37592c, 0x13c34b4f, 0x2e4009aa,
-  0x13cc60f2, 0x2e48b860, 0x13d5784a, 0x2e51654c,
-  0x13de9156, 0x2e5a1070, 0x13e7ac15, 0x2e62b9ca,
-  0x13f0c887, 0x2e6b615a, 0x13f9e6ad, 0x2e740720,
-  0x14030684, 0x2e7cab1c, 0x140c280e, 0x2e854d4d,
-  0x14154b4a, 0x2e8dedb3, 0x141e7037, 0x2e968c4d,
-  0x142796d5, 0x2e9f291b, 0x1430bf24, 0x2ea7c41e,
-  0x1439e923, 0x2eb05d53, 0x144314d3, 0x2eb8f4bc,
-  0x144c4232, 0x2ec18a58, 0x14557140, 0x2eca1e27,
-  0x145ea1fd, 0x2ed2b027, 0x1467d469, 0x2edb405a,
-  0x14710883, 0x2ee3cebe, 0x147a3e4b, 0x2eec5b53,
-  0x148375c1, 0x2ef4e619, 0x148caee4, 0x2efd6f10,
-  0x1495e9b3, 0x2f05f637, 0x149f2630, 0x2f0e7b8e,
-  0x14a86458, 0x2f16ff14, 0x14b1a42c, 0x2f1f80ca,
-  0x14bae5ab, 0x2f2800af, 0x14c428d6, 0x2f307ec2,
-  0x14cd6dab, 0x2f38fb03, 0x14d6b42b, 0x2f417573,
-  0x14dffc54, 0x2f49ee0f, 0x14e94627, 0x2f5264da,
-  0x14f291a4, 0x2f5ad9d1, 0x14fbdec9, 0x2f634cf5,
-  0x15052d97, 0x2f6bbe45, 0x150e7e0d, 0x2f742dc1,
-  0x1517d02b, 0x2f7c9b69, 0x152123f0, 0x2f85073c,
-  0x152a795d, 0x2f8d713a, 0x1533d070, 0x2f95d963,
-  0x153d292a, 0x2f9e3fb6, 0x15468389, 0x2fa6a433,
-  0x154fdf8f, 0x2faf06da, 0x15593d3a, 0x2fb767aa,
-  0x15629c89, 0x2fbfc6a3, 0x156bfd7d, 0x2fc823c5,
-  0x15756016, 0x2fd07f0f, 0x157ec452, 0x2fd8d882,
-  0x15882a32, 0x2fe1301c, 0x159191b5, 0x2fe985de,
-  0x159afadb, 0x2ff1d9c7, 0x15a465a3, 0x2ffa2bd6,
-  0x15add20d, 0x30027c0c, 0x15b74019, 0x300aca69,
-  0x15c0afc6, 0x301316eb, 0x15ca2115, 0x301b6193,
-  0x15d39403, 0x3023aa5f, 0x15dd0892, 0x302bf151,
-  0x15e67ec1, 0x30343667, 0x15eff690, 0x303c79a2,
-  0x15f96ffd, 0x3044bb00, 0x1602eb0a, 0x304cfa83,
-  0x160c67b4, 0x30553828, 0x1615e5fd, 0x305d73f0,
-  0x161f65e4, 0x3065addb, 0x1628e767, 0x306de5e9,
-  0x16326a88, 0x30761c18, 0x163bef46, 0x307e5069,
-  0x1645759f, 0x308682dc, 0x164efd94, 0x308eb36f,
-  0x16588725, 0x3096e223, 0x16621251, 0x309f0ef8,
-  0x166b9f18, 0x30a739ed, 0x16752d79, 0x30af6302,
-  0x167ebd74, 0x30b78a36, 0x16884f09, 0x30bfaf89,
-  0x1691e237, 0x30c7d2fb, 0x169b76fe, 0x30cff48c,
-  0x16a50d5d, 0x30d8143b, 0x16aea555, 0x30e03208,
-  0x16b83ee4, 0x30e84df3, 0x16c1da0b, 0x30f067fb,
-  0x16cb76c9, 0x30f8801f, 0x16d5151d, 0x31009661,
-  0x16deb508, 0x3108aabf, 0x16e85689, 0x3110bd39,
-  0x16f1f99f, 0x3118cdcf, 0x16fb9e4b, 0x3120dc80,
-  0x1705448b, 0x3128e94c, 0x170eec60, 0x3130f433,
-  0x171895c9, 0x3138fd35, 0x172240c5, 0x31410450,
-  0x172bed55, 0x31490986, 0x17359b78, 0x31510cd5,
-  0x173f4b2e, 0x31590e3e, 0x1748fc75, 0x31610dbf,
-  0x1752af4f, 0x31690b59, 0x175c63ba, 0x3171070c,
-  0x176619b6, 0x317900d6, 0x176fd143, 0x3180f8b8,
-  0x17798a60, 0x3188eeb2, 0x1783450d, 0x3190e2c3,
-  0x178d014a, 0x3198d4ea, 0x1796bf16, 0x31a0c528,
-  0x17a07e70, 0x31a8b37c, 0x17aa3f5a, 0x31b09fe7,
-  0x17b401d1, 0x31b88a66, 0x17bdc5d6, 0x31c072fb,
-  0x17c78b68, 0x31c859a5, 0x17d15288, 0x31d03e64,
-  0x17db1b34, 0x31d82137, 0x17e4e56c, 0x31e0021e,
-  0x17eeb130, 0x31e7e118, 0x17f87e7f, 0x31efbe27,
-  0x18024d59, 0x31f79948, 0x180c1dbf, 0x31ff727c,
-  0x1815efae, 0x320749c3, 0x181fc328, 0x320f1f1c,
-  0x1829982b, 0x3216f287, 0x18336eb7, 0x321ec403,
-  0x183d46cc, 0x32269391, 0x18472069, 0x322e6130,
-  0x1850fb8e, 0x32362ce0, 0x185ad83c, 0x323df6a0,
-  0x1864b670, 0x3245be70, 0x186e962b, 0x324d8450,
-  0x1878776d, 0x32554840, 0x18825a35, 0x325d0a3e,
-  0x188c3e83, 0x3264ca4c, 0x18962456, 0x326c8868,
-  0x18a00bae, 0x32744493, 0x18a9f48a, 0x327bfecc,
-  0x18b3deeb, 0x3283b712, 0x18bdcad0, 0x328b6d66,
-  0x18c7b838, 0x329321c7, 0x18d1a724, 0x329ad435,
-  0x18db9792, 0x32a284b0, 0x18e58982, 0x32aa3336,
-  0x18ef7cf4, 0x32b1dfc9, 0x18f971e8, 0x32b98a67,
-  0x1903685d, 0x32c13311, 0x190d6053, 0x32c8d9c6,
-  0x191759c9, 0x32d07e85, 0x192154bf, 0x32d82150,
-  0x192b5135, 0x32dfc224, 0x19354f2a, 0x32e76102,
-  0x193f4e9e, 0x32eefdea, 0x19494f90, 0x32f698db,
-  0x19535201, 0x32fe31d5, 0x195d55ef, 0x3305c8d7,
-  0x19675b5a, 0x330d5de3, 0x19716243, 0x3314f0f6,
-  0x197b6aa8, 0x331c8211, 0x19857489, 0x33241134,
-  0x198f7fe6, 0x332b9e5e, 0x19998cbe, 0x3333298f,
-  0x19a39b11, 0x333ab2c6, 0x19adaadf, 0x33423a04,
-  0x19b7bc27, 0x3349bf48, 0x19c1cee9, 0x33514292,
-  0x19cbe325, 0x3358c3e2, 0x19d5f8d9, 0x33604336,
-  0x19e01006, 0x3367c090, 0x19ea28ac, 0x336f3bee,
-  0x19f442c9, 0x3376b551, 0x19fe5e5e, 0x337e2cb7,
-  0x1a087b69, 0x3385a222, 0x1a1299ec, 0x338d1590,
-  0x1a1cb9e5, 0x33948701, 0x1a26db54, 0x339bf675,
-  0x1a30fe38, 0x33a363ec, 0x1a3b2292, 0x33aacf65,
-  0x1a454860, 0x33b238e0, 0x1a4f6fa3, 0x33b9a05d,
-  0x1a599859, 0x33c105db, 0x1a63c284, 0x33c8695b,
-  0x1a6dee21, 0x33cfcadc, 0x1a781b31, 0x33d72a5d,
-  0x1a8249b4, 0x33de87de, 0x1a8c79a9, 0x33e5e360,
-  0x1a96ab0f, 0x33ed3ce1, 0x1aa0dde7, 0x33f49462,
-  0x1aab122f, 0x33fbe9e2, 0x1ab547e8, 0x34033d61,
-  0x1abf7f11, 0x340a8edf, 0x1ac9b7a9, 0x3411de5b,
-  0x1ad3f1b1, 0x34192bd5, 0x1ade2d28, 0x3420774d,
-  0x1ae86a0d, 0x3427c0c3, 0x1af2a860, 0x342f0836,
-  0x1afce821, 0x34364da6, 0x1b072950, 0x343d9112,
-  0x1b116beb, 0x3444d27b, 0x1b1baff2, 0x344c11e0,
-  0x1b25f566, 0x34534f41, 0x1b303c46, 0x345a8a9d,
-  0x1b3a8491, 0x3461c3f5, 0x1b44ce46, 0x3468fb47,
-  0x1b4f1967, 0x34703095, 0x1b5965f1, 0x347763dd,
-  0x1b63b3e5, 0x347e951f, 0x1b6e0342, 0x3485c45b,
-  0x1b785409, 0x348cf190, 0x1b82a638, 0x34941cbf,
-  0x1b8cf9cf, 0x349b45e7, 0x1b974ece, 0x34a26d08,
-  0x1ba1a534, 0x34a99221, 0x1babfd01, 0x34b0b533,
-  0x1bb65634, 0x34b7d63c, 0x1bc0b0ce, 0x34bef53d,
-  0x1bcb0cce, 0x34c61236, 0x1bd56a32, 0x34cd2d26,
-  0x1bdfc8fc, 0x34d4460c, 0x1bea292b, 0x34db5cea,
-  0x1bf48abd, 0x34e271bd, 0x1bfeedb3, 0x34e98487,
-  0x1c09520d, 0x34f09546, 0x1c13b7c9, 0x34f7a3fb,
-  0x1c1e1ee9, 0x34feb0a5, 0x1c28876a, 0x3505bb44,
-  0x1c32f14d, 0x350cc3d8, 0x1c3d5c91, 0x3513ca60,
-  0x1c47c936, 0x351acedd, 0x1c52373c, 0x3521d14d,
-  0x1c5ca6a2, 0x3528d1b1, 0x1c671768, 0x352fd008,
-  0x1c71898d, 0x3536cc52, 0x1c7bfd11, 0x353dc68f,
-  0x1c8671f3, 0x3544bebf, 0x1c90e834, 0x354bb4e1,
-  0x1c9b5fd2, 0x3552a8f4, 0x1ca5d8cd, 0x35599afa,
-  0x1cb05326, 0x35608af1, 0x1cbacedb, 0x356778d9,
-  0x1cc54bec, 0x356e64b2, 0x1ccfca59, 0x35754e7c,
-  0x1cda4a21, 0x357c3636, 0x1ce4cb44, 0x35831be0,
-  0x1cef4dc2, 0x3589ff7a, 0x1cf9d199, 0x3590e104,
-  0x1d0456ca, 0x3597c07d, 0x1d0edd55, 0x359e9de5,
-  0x1d196538, 0x35a5793c, 0x1d23ee74, 0x35ac5282,
-  0x1d2e7908, 0x35b329b5, 0x1d3904f4, 0x35b9fed7,
-  0x1d439236, 0x35c0d1e7, 0x1d4e20d0, 0x35c7a2e3,
-  0x1d58b0c0, 0x35ce71ce, 0x1d634206, 0x35d53ea5,
-  0x1d6dd4a2, 0x35dc0968, 0x1d786892, 0x35e2d219,
-  0x1d82fdd8, 0x35e998b5, 0x1d8d9472, 0x35f05d3d,
-  0x1d982c60, 0x35f71fb1, 0x1da2c5a2, 0x35fde011,
-  0x1dad6036, 0x36049e5b, 0x1db7fc1e, 0x360b5a90,
-  0x1dc29958, 0x361214b0, 0x1dcd37e4, 0x3618ccba,
-  0x1dd7d7c1, 0x361f82af, 0x1de278ef, 0x3626368d,
-  0x1ded1b6e, 0x362ce855, 0x1df7bf3e, 0x36339806,
-  0x1e02645d, 0x363a45a0, 0x1e0d0acc, 0x3640f123,
-  0x1e17b28a, 0x36479a8e, 0x1e225b96, 0x364e41e2,
-  0x1e2d05f1, 0x3654e71d, 0x1e37b199, 0x365b8a41,
-  0x1e425e8f, 0x36622b4c, 0x1e4d0cd2, 0x3668ca3e,
-  0x1e57bc62, 0x366f6717, 0x1e626d3e, 0x367601d7,
-  0x1e6d1f65, 0x367c9a7e, 0x1e77d2d8, 0x3683310b,
-  0x1e828796, 0x3689c57d, 0x1e8d3d9e, 0x369057d6,
-  0x1e97f4f1, 0x3696e814, 0x1ea2ad8d, 0x369d7637,
-  0x1ead6773, 0x36a4023f, 0x1eb822a1, 0x36aa8c2c,
-  0x1ec2df18, 0x36b113fd, 0x1ecd9cd7, 0x36b799b3,
-  0x1ed85bdd, 0x36be1d4c, 0x1ee31c2b, 0x36c49ec9,
-  0x1eedddc0, 0x36cb1e2a, 0x1ef8a09b, 0x36d19b6e,
-  0x1f0364bc, 0x36d81695, 0x1f0e2a22, 0x36de8f9e,
-  0x1f18f0ce, 0x36e5068a, 0x1f23b8be, 0x36eb7b58,
-  0x1f2e81f3, 0x36f1ee09, 0x1f394c6b, 0x36f85e9a,
-  0x1f441828, 0x36fecd0e, 0x1f4ee527, 0x37053962,
-  0x1f59b369, 0x370ba398, 0x1f6482ed, 0x37120bae,
-  0x1f6f53b3, 0x371871a5, 0x1f7a25ba, 0x371ed57c,
-  0x1f84f902, 0x37253733, 0x1f8fcd8b, 0x372b96ca,
-  0x1f9aa354, 0x3731f440, 0x1fa57a5d, 0x37384f95,
-  0x1fb052a5, 0x373ea8ca, 0x1fbb2c2c, 0x3744ffdd,
-  0x1fc606f1, 0x374b54ce, 0x1fd0e2f5, 0x3751a79e,
-  0x1fdbc036, 0x3757f84c, 0x1fe69eb4, 0x375e46d8,
-  0x1ff17e70, 0x37649341, 0x1ffc5f67, 0x376add88,
-  0x2007419b, 0x377125ac, 0x2012250a, 0x37776bac,
-  0x201d09b4, 0x377daf89, 0x2027ef99, 0x3783f143,
-  0x2032d6b8, 0x378a30d8, 0x203dbf11, 0x37906e49,
-  0x2048a8a4, 0x3796a996, 0x2053936f, 0x379ce2be,
-  0x205e7f74, 0x37a319c2, 0x20696cb0, 0x37a94ea0,
-  0x20745b24, 0x37af8159, 0x207f4acf, 0x37b5b1ec,
-  0x208a3bb2, 0x37bbe05a, 0x20952dcb, 0x37c20ca1,
-  0x20a0211a, 0x37c836c2, 0x20ab159e, 0x37ce5ebd,
-  0x20b60b58, 0x37d48490, 0x20c10247, 0x37daa83d,
-  0x20cbfa6a, 0x37e0c9c3, 0x20d6f3c1, 0x37e6e921,
-  0x20e1ee4b, 0x37ed0657, 0x20ecea09, 0x37f32165,
-  0x20f7e6f9, 0x37f93a4b, 0x2102e51c, 0x37ff5109,
-  0x210de470, 0x3805659e, 0x2118e4f6, 0x380b780a,
-  0x2123e6ad, 0x3811884d, 0x212ee995, 0x38179666,
-  0x2139edac, 0x381da256, 0x2144f2f3, 0x3823ac1d,
-  0x214ff96a, 0x3829b3b9, 0x215b0110, 0x382fb92a,
-  0x216609e3, 0x3835bc71, 0x217113e5, 0x383bbd8e,
-  0x217c1f15, 0x3841bc7f, 0x21872b72, 0x3847b946,
-  0x219238fb, 0x384db3e0, 0x219d47b1, 0x3853ac4f,
-  0x21a85793, 0x3859a292, 0x21b368a0, 0x385f96a9,
-  0x21be7ad8, 0x38658894, 0x21c98e3b, 0x386b7852,
-  0x21d4a2c8, 0x387165e3, 0x21dfb87f, 0x38775147,
-  0x21eacf5f, 0x387d3a7e, 0x21f5e768, 0x38832187,
-  0x22010099, 0x38890663, 0x220c1af3, 0x388ee910,
-  0x22173674, 0x3894c98f, 0x2222531c, 0x389aa7e0,
-  0x222d70eb, 0x38a08402, 0x22388fe1, 0x38a65df6,
-  0x2243affc, 0x38ac35ba, 0x224ed13d, 0x38b20b4f,
-  0x2259f3a3, 0x38b7deb4, 0x2265172e, 0x38bdafea,
-  0x22703bdc, 0x38c37eef, 0x227b61af, 0x38c94bc4,
-  0x228688a4, 0x38cf1669, 0x2291b0bd, 0x38d4dedd,
-  0x229cd9f8, 0x38daa520, 0x22a80456, 0x38e06932,
-  0x22b32fd4, 0x38e62b13, 0x22be5c74, 0x38ebeac2,
-  0x22c98a35, 0x38f1a840, 0x22d4b916, 0x38f7638b,
-  0x22dfe917, 0x38fd1ca4, 0x22eb1a37, 0x3902d38b,
-  0x22f64c77, 0x3908883f, 0x23017fd5, 0x390e3ac0,
-  0x230cb451, 0x3913eb0e, 0x2317e9eb, 0x39199929,
-  0x232320a2, 0x391f4510, 0x232e5876, 0x3924eec3,
-  0x23399167, 0x392a9642, 0x2344cb73, 0x39303b8e,
-  0x2350069b, 0x3935dea4, 0x235b42df, 0x393b7f86,
-  0x2366803c, 0x39411e33, 0x2371beb5, 0x3946baac,
-  0x237cfe47, 0x394c54ee, 0x23883ef2, 0x3951ecfc,
-  0x239380b6, 0x395782d3, 0x239ec393, 0x395d1675,
-  0x23aa0788, 0x3962a7e0, 0x23b54c95, 0x39683715,
-  0x23c092b9, 0x396dc414, 0x23cbd9f4, 0x39734edc,
-  0x23d72245, 0x3978d76c, 0x23e26bac, 0x397e5dc6,
-  0x23edb628, 0x3983e1e8, 0x23f901ba, 0x398963d2,
-  0x24044e60, 0x398ee385, 0x240f9c1a, 0x399460ff,
-  0x241aeae8, 0x3999dc42, 0x24263ac9, 0x399f554b,
-  0x24318bbe, 0x39a4cc1c, 0x243cddc4, 0x39aa40b4,
-  0x244830dd, 0x39afb313, 0x24538507, 0x39b52339,
-  0x245eda43, 0x39ba9125, 0x246a308f, 0x39bffcd7,
-  0x247587eb, 0x39c5664f, 0x2480e057, 0x39cacd8d,
-  0x248c39d3, 0x39d03291, 0x2497945d, 0x39d5955a,
-  0x24a2eff6, 0x39daf5e8, 0x24ae4c9d, 0x39e0543c,
-  0x24b9aa52, 0x39e5b054, 0x24c50914, 0x39eb0a31,
-  0x24d068e2, 0x39f061d2, 0x24dbc9bd, 0x39f5b737,
-  0x24e72ba4, 0x39fb0a60, 0x24f28e96, 0x3a005b4d,
-  0x24fdf294, 0x3a05a9fd, 0x2509579b, 0x3a0af671,
-  0x2514bdad, 0x3a1040a8, 0x252024c9, 0x3a1588a2,
-  0x252b8cee, 0x3a1ace5f, 0x2536f61b, 0x3a2011de,
-  0x25426051, 0x3a25531f, 0x254dcb8f, 0x3a2a9223,
-  0x255937d5, 0x3a2fcee8, 0x2564a521, 0x3a350970,
-  0x25701374, 0x3a3a41b9, 0x257b82cd, 0x3a3f77c3,
-  0x2586f32c, 0x3a44ab8e, 0x25926490, 0x3a49dd1a,
-  0x259dd6f9, 0x3a4f0c67, 0x25a94a67, 0x3a543974,
-  0x25b4bed8, 0x3a596442, 0x25c0344d, 0x3a5e8cd0,
-  0x25cbaac5, 0x3a63b31d, 0x25d72240, 0x3a68d72b,
-  0x25e29abc, 0x3a6df8f8, 0x25ee143b, 0x3a731884,
-  0x25f98ebb, 0x3a7835cf, 0x26050a3b, 0x3a7d50da,
-  0x261086bc, 0x3a8269a3, 0x261c043d, 0x3a87802a,
-  0x262782be, 0x3a8c9470, 0x2633023e, 0x3a91a674,
-  0x263e82bc, 0x3a96b636, 0x264a0438, 0x3a9bc3b6,
-  0x265586b3, 0x3aa0cef3, 0x26610a2a, 0x3aa5d7ee,
-  0x266c8e9f, 0x3aaadea6, 0x26781410, 0x3aafe31b,
-  0x26839a7c, 0x3ab4e54c, 0x268f21e5, 0x3ab9e53a,
-  0x269aaa48, 0x3abee2e5, 0x26a633a6, 0x3ac3de4c,
-  0x26b1bdff, 0x3ac8d76f, 0x26bd4951, 0x3acdce4d,
-  0x26c8d59c, 0x3ad2c2e8, 0x26d462e1, 0x3ad7b53d,
-  0x26dff11d, 0x3adca54e, 0x26eb8052, 0x3ae1931a,
-  0x26f7107e, 0x3ae67ea1, 0x2702a1a1, 0x3aeb67e3,
-  0x270e33bb, 0x3af04edf, 0x2719c6cb, 0x3af53395,
-  0x27255ad1, 0x3afa1605, 0x2730efcc, 0x3afef630,
-  0x273c85bc, 0x3b03d414, 0x27481ca1, 0x3b08afb2,
-  0x2753b479, 0x3b0d8909, 0x275f4d45, 0x3b126019,
-  0x276ae704, 0x3b1734e2, 0x277681b6, 0x3b1c0764,
-  0x27821d59, 0x3b20d79e, 0x278db9ef, 0x3b25a591,
-  0x27995776, 0x3b2a713d, 0x27a4f5ed, 0x3b2f3aa0,
-  0x27b09555, 0x3b3401bb, 0x27bc35ad, 0x3b38c68e,
-  0x27c7d6f4, 0x3b3d8918, 0x27d3792b, 0x3b42495a,
-  0x27df1c50, 0x3b470753, 0x27eac063, 0x3b4bc303,
-  0x27f66564, 0x3b507c69, 0x28020b52, 0x3b553386,
-  0x280db22d, 0x3b59e85a, 0x281959f4, 0x3b5e9ae4,
-  0x282502a7, 0x3b634b23, 0x2830ac45, 0x3b67f919,
-  0x283c56cf, 0x3b6ca4c4, 0x28480243, 0x3b714e25,
-  0x2853aea1, 0x3b75f53c, 0x285f5be9, 0x3b7a9a07,
-  0x286b0a1a, 0x3b7f3c87, 0x2876b934, 0x3b83dcbc,
-  0x28826936, 0x3b887aa6, 0x288e1a20, 0x3b8d1644,
-  0x2899cbf1, 0x3b91af97, 0x28a57ea9, 0x3b96469d,
-  0x28b13248, 0x3b9adb57, 0x28bce6cd, 0x3b9f6dc5,
-  0x28c89c37, 0x3ba3fde7, 0x28d45286, 0x3ba88bbc,
-  0x28e009ba, 0x3bad1744, 0x28ebc1d3, 0x3bb1a080,
-  0x28f77acf, 0x3bb6276e, 0x290334af, 0x3bbaac0e,
-  0x290eef71, 0x3bbf2e62, 0x291aab16, 0x3bc3ae67,
-  0x2926679c, 0x3bc82c1f, 0x29322505, 0x3bcca789,
-  0x293de34e, 0x3bd120a4, 0x2949a278, 0x3bd59771,
-  0x29556282, 0x3bda0bf0, 0x2961236c, 0x3bde7e20,
-  0x296ce535, 0x3be2ee01, 0x2978a7dd, 0x3be75b93,
-  0x29846b63, 0x3bebc6d5, 0x29902fc7, 0x3bf02fc9,
-  0x299bf509, 0x3bf4966c, 0x29a7bb28, 0x3bf8fac0,
-  0x29b38223, 0x3bfd5cc4, 0x29bf49fa, 0x3c01bc78,
-  0x29cb12ad, 0x3c0619dc, 0x29d6dc3b, 0x3c0a74f0,
-  0x29e2a6a3, 0x3c0ecdb2, 0x29ee71e6, 0x3c132424,
-  0x29fa3e03, 0x3c177845, 0x2a060af9, 0x3c1bca16,
-  0x2a11d8c8, 0x3c201994, 0x2a1da770, 0x3c2466c2,
-  0x2a2976ef, 0x3c28b19e, 0x2a354746, 0x3c2cfa28,
-  0x2a411874, 0x3c314060, 0x2a4cea79, 0x3c358446,
-  0x2a58bd54, 0x3c39c5da, 0x2a649105, 0x3c3e051b,
-  0x2a70658a, 0x3c42420a, 0x2a7c3ae5, 0x3c467ca6,
-  0x2a881114, 0x3c4ab4ef, 0x2a93e817, 0x3c4eeae5,
-  0x2a9fbfed, 0x3c531e88, 0x2aab9896, 0x3c574fd8,
-  0x2ab77212, 0x3c5b7ed4, 0x2ac34c60, 0x3c5fab7c,
-  0x2acf277f, 0x3c63d5d1, 0x2adb0370, 0x3c67fdd1,
-  0x2ae6e031, 0x3c6c237e, 0x2af2bdc3, 0x3c7046d6,
-  0x2afe9c24, 0x3c7467d9, 0x2b0a7b54, 0x3c788688,
-  0x2b165b54, 0x3c7ca2e2, 0x2b223c22, 0x3c80bce7,
-  0x2b2e1dbe, 0x3c84d496, 0x2b3a0027, 0x3c88e9f1,
-  0x2b45e35d, 0x3c8cfcf6, 0x2b51c760, 0x3c910da5,
-  0x2b5dac2f, 0x3c951bff, 0x2b6991ca, 0x3c992803,
-  0x2b75782f, 0x3c9d31b0, 0x2b815f60, 0x3ca13908,
-  0x2b8d475b, 0x3ca53e09, 0x2b99301f, 0x3ca940b3,
-  0x2ba519ad, 0x3cad4107, 0x2bb10404, 0x3cb13f04,
-  0x2bbcef23, 0x3cb53aaa, 0x2bc8db0b, 0x3cb933f9,
-  0x2bd4c7ba, 0x3cbd2af0, 0x2be0b52f, 0x3cc11f90,
-  0x2beca36c, 0x3cc511d9, 0x2bf8926f, 0x3cc901c9,
-  0x2c048237, 0x3cccef62, 0x2c1072c4, 0x3cd0daa2,
-  0x2c1c6417, 0x3cd4c38b, 0x2c28562d, 0x3cd8aa1b,
-  0x2c344908, 0x3cdc8e52, 0x2c403ca5, 0x3ce07031,
-  0x2c4c3106, 0x3ce44fb7, 0x2c582629, 0x3ce82ce4,
-  0x2c641c0e, 0x3cec07b8, 0x2c7012b5, 0x3cefe032,
-  0x2c7c0a1d, 0x3cf3b653, 0x2c880245, 0x3cf78a1b,
-  0x2c93fb2e, 0x3cfb5b89, 0x2c9ff4d6, 0x3cff2a9d,
-  0x2cabef3d, 0x3d02f757, 0x2cb7ea63, 0x3d06c1b6,
-  0x2cc3e648, 0x3d0a89bc, 0x2ccfe2ea, 0x3d0e4f67,
-  0x2cdbe04a, 0x3d1212b7, 0x2ce7de66, 0x3d15d3ad,
-  0x2cf3dd3f, 0x3d199248, 0x2cffdcd4, 0x3d1d4e88,
-  0x2d0bdd25, 0x3d21086c, 0x2d17de31, 0x3d24bff6,
-  0x2d23dff7, 0x3d287523, 0x2d2fe277, 0x3d2c27f6,
-  0x2d3be5b1, 0x3d2fd86c, 0x2d47e9a5, 0x3d338687,
-  0x2d53ee51, 0x3d373245, 0x2d5ff3b5, 0x3d3adba7,
-  0x2d6bf9d1, 0x3d3e82ae, 0x2d7800a5, 0x3d422757,
-  0x2d84082f, 0x3d45c9a4, 0x2d901070, 0x3d496994,
-  0x2d9c1967, 0x3d4d0728, 0x2da82313, 0x3d50a25e,
-  0x2db42d74, 0x3d543b37, 0x2dc0388a, 0x3d57d1b3,
-  0x2dcc4454, 0x3d5b65d2, 0x2dd850d2, 0x3d5ef793,
-  0x2de45e03, 0x3d6286f6, 0x2df06be6, 0x3d6613fb,
-  0x2dfc7a7c, 0x3d699ea3, 0x2e0889c4, 0x3d6d26ec,
-  0x2e1499bd, 0x3d70acd7, 0x2e20aa67, 0x3d743064,
-  0x2e2cbbc1, 0x3d77b192, 0x2e38cdcb, 0x3d7b3061,
-  0x2e44e084, 0x3d7eacd2, 0x2e50f3ed, 0x3d8226e4,
-  0x2e5d0804, 0x3d859e96, 0x2e691cc9, 0x3d8913ea,
-  0x2e75323c, 0x3d8c86de, 0x2e81485c, 0x3d8ff772,
-  0x2e8d5f29, 0x3d9365a8, 0x2e9976a1, 0x3d96d17d,
-  0x2ea58ec6, 0x3d9a3af2, 0x2eb1a796, 0x3d9da208,
-  0x2ebdc110, 0x3da106bd, 0x2ec9db35, 0x3da46912,
-  0x2ed5f604, 0x3da7c907, 0x2ee2117c, 0x3dab269b,
-  0x2eee2d9d, 0x3dae81cf, 0x2efa4a67, 0x3db1daa2,
-  0x2f0667d9, 0x3db53113, 0x2f1285f2, 0x3db88524,
-  0x2f1ea4b2, 0x3dbbd6d4, 0x2f2ac419, 0x3dbf2622,
-  0x2f36e426, 0x3dc2730f, 0x2f4304d8, 0x3dc5bd9b,
-  0x2f4f2630, 0x3dc905c5, 0x2f5b482d, 0x3dcc4b8d,
-  0x2f676ace, 0x3dcf8ef3, 0x2f738e12, 0x3dd2cff7,
-  0x2f7fb1fa, 0x3dd60e99, 0x2f8bd685, 0x3dd94ad8,
-  0x2f97fbb2, 0x3ddc84b5, 0x2fa42181, 0x3ddfbc30,
-  0x2fb047f2, 0x3de2f148, 0x2fbc6f03, 0x3de623fd,
-  0x2fc896b5, 0x3de9544f, 0x2fd4bf08, 0x3dec823e,
-  0x2fe0e7f9, 0x3defadca, 0x2fed118a, 0x3df2d6f3,
-  0x2ff93bba, 0x3df5fdb8, 0x30056687, 0x3df9221a,
-  0x301191f3, 0x3dfc4418, 0x301dbdfb, 0x3dff63b2,
-  0x3029eaa1, 0x3e0280e9, 0x303617e2, 0x3e059bbb,
-  0x304245c0, 0x3e08b42a, 0x304e7438, 0x3e0bca34,
-  0x305aa34c, 0x3e0eddd9, 0x3066d2fa, 0x3e11ef1b,
-  0x30730342, 0x3e14fdf7, 0x307f3424, 0x3e180a6f,
-  0x308b659f, 0x3e1b1482, 0x309797b2, 0x3e1e1c30,
-  0x30a3ca5d, 0x3e212179, 0x30affda0, 0x3e24245d,
-  0x30bc317a, 0x3e2724db, 0x30c865ea, 0x3e2a22f4,
-  0x30d49af1, 0x3e2d1ea8, 0x30e0d08d, 0x3e3017f6,
-  0x30ed06bf, 0x3e330ede, 0x30f93d86, 0x3e360360,
-  0x310574e0, 0x3e38f57c, 0x3111accf, 0x3e3be532,
-  0x311de551, 0x3e3ed282, 0x312a1e66, 0x3e41bd6c,
-  0x3136580d, 0x3e44a5ef, 0x31429247, 0x3e478c0b,
-  0x314ecd11, 0x3e4a6fc1, 0x315b086d, 0x3e4d5110,
-  0x31674459, 0x3e502ff9, 0x317380d6, 0x3e530c7a,
-  0x317fbde2, 0x3e55e694, 0x318bfb7d, 0x3e58be47,
-  0x319839a6, 0x3e5b9392, 0x31a4785e, 0x3e5e6676,
-  0x31b0b7a4, 0x3e6136f3, 0x31bcf777, 0x3e640507,
-  0x31c937d6, 0x3e66d0b4, 0x31d578c2, 0x3e6999fa,
-  0x31e1ba3a, 0x3e6c60d7, 0x31edfc3d, 0x3e6f254c,
-  0x31fa3ecb, 0x3e71e759, 0x320681e3, 0x3e74a6fd,
-  0x3212c585, 0x3e77643a, 0x321f09b1, 0x3e7a1f0d,
-  0x322b4e66, 0x3e7cd778, 0x323793a3, 0x3e7f8d7b,
-  0x3243d968, 0x3e824114, 0x32501fb5, 0x3e84f245,
-  0x325c6688, 0x3e87a10c, 0x3268ade3, 0x3e8a4d6a,
-  0x3274f5c3, 0x3e8cf75f, 0x32813e2a, 0x3e8f9eeb,
-  0x328d8715, 0x3e92440d, 0x3299d085, 0x3e94e6c6,
-  0x32a61a7a, 0x3e978715, 0x32b264f2, 0x3e9a24fb,
-  0x32beafed, 0x3e9cc076, 0x32cafb6b, 0x3e9f5988,
-  0x32d7476c, 0x3ea1f02f, 0x32e393ef, 0x3ea4846c,
-  0x32efe0f2, 0x3ea7163f, 0x32fc2e77, 0x3ea9a5a8,
-  0x33087c7d, 0x3eac32a6, 0x3314cb02, 0x3eaebd3a,
-  0x33211a07, 0x3eb14563, 0x332d698a, 0x3eb3cb21,
-  0x3339b98d, 0x3eb64e75, 0x33460a0d, 0x3eb8cf5d,
-  0x33525b0b, 0x3ebb4ddb, 0x335eac86, 0x3ebdc9ed,
-  0x336afe7e, 0x3ec04394, 0x337750f2, 0x3ec2bad0,
-  0x3383a3e2, 0x3ec52fa0, 0x338ff74d, 0x3ec7a205,
-  0x339c4b32, 0x3eca11fe, 0x33a89f92, 0x3ecc7f8b,
-  0x33b4f46c, 0x3eceeaad, 0x33c149bf, 0x3ed15363,
-  0x33cd9f8b, 0x3ed3b9ad, 0x33d9f5cf, 0x3ed61d8a,
-  0x33e64c8c, 0x3ed87efc, 0x33f2a3bf, 0x3edade01,
-  0x33fefb6a, 0x3edd3a9a, 0x340b538b, 0x3edf94c7,
-  0x3417ac22, 0x3ee1ec87, 0x3424052f, 0x3ee441da,
-  0x34305eb0, 0x3ee694c1, 0x343cb8a7, 0x3ee8e53a,
-  0x34491311, 0x3eeb3347, 0x34556def, 0x3eed7ee7,
-  0x3461c940, 0x3eefc81a, 0x346e2504, 0x3ef20ee0,
-  0x347a8139, 0x3ef45338, 0x3486dde1, 0x3ef69523,
-  0x34933afa, 0x3ef8d4a1, 0x349f9884, 0x3efb11b1,
-  0x34abf67e, 0x3efd4c54, 0x34b854e7, 0x3eff8489,
-  0x34c4b3c0, 0x3f01ba50, 0x34d11308, 0x3f03eda9,
-  0x34dd72be, 0x3f061e95, 0x34e9d2e3, 0x3f084d12,
-  0x34f63374, 0x3f0a7921, 0x35029473, 0x3f0ca2c2,
-  0x350ef5de, 0x3f0ec9f5, 0x351b57b5, 0x3f10eeb9,
-  0x3527b9f7, 0x3f13110f, 0x35341ca5, 0x3f1530f7,
-  0x35407fbd, 0x3f174e70, 0x354ce33f, 0x3f19697a,
-  0x3559472b, 0x3f1b8215, 0x3565ab80, 0x3f1d9842,
-  0x3572103d, 0x3f1fabff, 0x357e7563, 0x3f21bd4e,
-  0x358adaf0, 0x3f23cc2e, 0x359740e5, 0x3f25d89e,
-  0x35a3a740, 0x3f27e29f, 0x35b00e02, 0x3f29ea31,
-  0x35bc7529, 0x3f2bef53, 0x35c8dcb6, 0x3f2df206,
-  0x35d544a7, 0x3f2ff24a, 0x35e1acfd, 0x3f31f01d,
-  0x35ee15b7, 0x3f33eb81, 0x35fa7ed4, 0x3f35e476,
-  0x3606e854, 0x3f37dafa, 0x36135237, 0x3f39cf0e,
-  0x361fbc7b, 0x3f3bc0b3, 0x362c2721, 0x3f3dafe7,
-  0x36389228, 0x3f3f9cab, 0x3644fd8f, 0x3f4186ff,
-  0x36516956, 0x3f436ee3, 0x365dd57d, 0x3f455456,
-  0x366a4203, 0x3f473759, 0x3676aee8, 0x3f4917eb,
-  0x36831c2b, 0x3f4af60d, 0x368f89cb, 0x3f4cd1be,
-  0x369bf7c9, 0x3f4eaafe, 0x36a86623, 0x3f5081cd,
-  0x36b4d4d9, 0x3f52562c, 0x36c143ec, 0x3f54281a,
-  0x36cdb359, 0x3f55f796, 0x36da2321, 0x3f57c4a2,
-  0x36e69344, 0x3f598f3c, 0x36f303c0, 0x3f5b5765,
-  0x36ff7496, 0x3f5d1d1d, 0x370be5c4, 0x3f5ee063,
-  0x3718574b, 0x3f60a138, 0x3724c92a, 0x3f625f9b,
-  0x37313b60, 0x3f641b8d, 0x373daded, 0x3f65d50d,
-  0x374a20d0, 0x3f678c1c, 0x3756940a, 0x3f6940b8,
-  0x37630799, 0x3f6af2e3, 0x376f7b7d, 0x3f6ca29c,
-  0x377befb5, 0x3f6e4fe3, 0x37886442, 0x3f6ffab8,
-  0x3794d922, 0x3f71a31b, 0x37a14e55, 0x3f73490b,
-  0x37adc3db, 0x3f74ec8a, 0x37ba39b3, 0x3f768d96,
-  0x37c6afdc, 0x3f782c30, 0x37d32657, 0x3f79c857,
-  0x37df9d22, 0x3f7b620c, 0x37ec143e, 0x3f7cf94e,
-  0x37f88ba9, 0x3f7e8e1e, 0x38050364, 0x3f80207b,
-  0x38117b6d, 0x3f81b065, 0x381df3c5, 0x3f833ddd,
-  0x382a6c6a, 0x3f84c8e2, 0x3836e55d, 0x3f865174,
-  0x38435e9d, 0x3f87d792, 0x384fd829, 0x3f895b3e,
-  0x385c5201, 0x3f8adc77, 0x3868cc24, 0x3f8c5b3d,
-  0x38754692, 0x3f8dd78f, 0x3881c14b, 0x3f8f516e,
-  0x388e3c4d, 0x3f90c8da, 0x389ab799, 0x3f923dd2,
-  0x38a7332e, 0x3f93b058, 0x38b3af0c, 0x3f952069,
-  0x38c02b31, 0x3f968e07, 0x38cca79e, 0x3f97f932,
-  0x38d92452, 0x3f9961e8, 0x38e5a14d, 0x3f9ac82c,
-  0x38f21e8e, 0x3f9c2bfb, 0x38fe9c15, 0x3f9d8d56,
-  0x390b19e0, 0x3f9eec3e, 0x391797f0, 0x3fa048b2,
-  0x39241645, 0x3fa1a2b2, 0x393094dd, 0x3fa2fa3d,
-  0x393d13b8, 0x3fa44f55, 0x394992d7, 0x3fa5a1f9,
-  0x39561237, 0x3fa6f228, 0x396291d9, 0x3fa83fe3,
-  0x396f11bc, 0x3fa98b2a, 0x397b91e1, 0x3faad3fd,
-  0x39881245, 0x3fac1a5b, 0x399492ea, 0x3fad5e45,
-  0x39a113cd, 0x3fae9fbb, 0x39ad94f0, 0x3fafdebb,
-  0x39ba1651, 0x3fb11b48, 0x39c697f0, 0x3fb2555f,
-  0x39d319cc, 0x3fb38d02, 0x39df9be6, 0x3fb4c231,
-  0x39ec1e3b, 0x3fb5f4ea, 0x39f8a0cd, 0x3fb7252f,
-  0x3a05239a, 0x3fb852ff, 0x3a11a6a3, 0x3fb97e5a,
-  0x3a1e29e5, 0x3fbaa740, 0x3a2aad62, 0x3fbbcdb1,
-  0x3a373119, 0x3fbcf1ad, 0x3a43b508, 0x3fbe1334,
-  0x3a503930, 0x3fbf3246, 0x3a5cbd91, 0x3fc04ee3,
-  0x3a694229, 0x3fc1690a, 0x3a75c6f8, 0x3fc280bc,
-  0x3a824bfd, 0x3fc395f9, 0x3a8ed139, 0x3fc4a8c1,
-  0x3a9b56ab, 0x3fc5b913, 0x3aa7dc52, 0x3fc6c6f0,
-  0x3ab4622d, 0x3fc7d258, 0x3ac0e83d, 0x3fc8db4a,
-  0x3acd6e81, 0x3fc9e1c6, 0x3ad9f4f8, 0x3fcae5cd,
-  0x3ae67ba2, 0x3fcbe75e, 0x3af3027e, 0x3fcce67a,
-  0x3aff898c, 0x3fcde320, 0x3b0c10cb, 0x3fcedd50,
-  0x3b18983b, 0x3fcfd50b, 0x3b251fdc, 0x3fd0ca4f,
-  0x3b31a7ac, 0x3fd1bd1e, 0x3b3e2fac, 0x3fd2ad77,
-  0x3b4ab7db, 0x3fd39b5a, 0x3b574039, 0x3fd486c7,
-  0x3b63c8c4, 0x3fd56fbe, 0x3b70517d, 0x3fd6563f,
-  0x3b7cda63, 0x3fd73a4a, 0x3b896375, 0x3fd81bdf,
-  0x3b95ecb4, 0x3fd8fafe, 0x3ba2761e, 0x3fd9d7a7,
-  0x3baeffb3, 0x3fdab1d9, 0x3bbb8973, 0x3fdb8996,
-  0x3bc8135c, 0x3fdc5edc, 0x3bd49d70, 0x3fdd31ac,
-  0x3be127ac, 0x3fde0205, 0x3bedb212, 0x3fdecfe8,
-  0x3bfa3c9f, 0x3fdf9b55, 0x3c06c754, 0x3fe0644b,
-  0x3c135231, 0x3fe12acb, 0x3c1fdd34, 0x3fe1eed5,
-  0x3c2c685d, 0x3fe2b067, 0x3c38f3ac, 0x3fe36f84,
-  0x3c457f21, 0x3fe42c2a, 0x3c520aba, 0x3fe4e659,
-  0x3c5e9678, 0x3fe59e12, 0x3c6b2259, 0x3fe65354,
-  0x3c77ae5e, 0x3fe7061f, 0x3c843a85, 0x3fe7b674,
-  0x3c90c6cf, 0x3fe86452, 0x3c9d533b, 0x3fe90fb9,
-  0x3ca9dfc8, 0x3fe9b8a9, 0x3cb66c77, 0x3fea5f23,
-  0x3cc2f945, 0x3feb0326, 0x3ccf8634, 0x3feba4b2,
-  0x3cdc1342, 0x3fec43c7, 0x3ce8a06f, 0x3fece065,
-  0x3cf52dbb, 0x3fed7a8c, 0x3d01bb24, 0x3fee123d,
-  0x3d0e48ab, 0x3feea776, 0x3d1ad650, 0x3fef3a39,
-  0x3d276410, 0x3fefca84, 0x3d33f1ed, 0x3ff05858,
-  0x3d407fe6, 0x3ff0e3b6, 0x3d4d0df9, 0x3ff16c9c,
-  0x3d599c28, 0x3ff1f30b, 0x3d662a70, 0x3ff27703,
-  0x3d72b8d2, 0x3ff2f884, 0x3d7f474d, 0x3ff3778e,
-  0x3d8bd5e1, 0x3ff3f420, 0x3d98648d, 0x3ff46e3c,
-  0x3da4f351, 0x3ff4e5e0, 0x3db1822c, 0x3ff55b0d,
-  0x3dbe111e, 0x3ff5cdc3, 0x3dcaa027, 0x3ff63e01,
-  0x3dd72f45, 0x3ff6abc8, 0x3de3be78, 0x3ff71718,
-  0x3df04dc0, 0x3ff77ff1, 0x3dfcdd1d, 0x3ff7e652,
-  0x3e096c8d, 0x3ff84a3c, 0x3e15fc11, 0x3ff8abae,
-  0x3e228ba7, 0x3ff90aaa, 0x3e2f1b50, 0x3ff9672d,
-  0x3e3bab0b, 0x3ff9c13a, 0x3e483ad8, 0x3ffa18cf,
-  0x3e54cab5, 0x3ffa6dec, 0x3e615aa3, 0x3ffac092,
-  0x3e6deaa1, 0x3ffb10c1, 0x3e7a7aae, 0x3ffb5e78,
-  0x3e870aca, 0x3ffba9b8, 0x3e939af5, 0x3ffbf280,
-  0x3ea02b2e, 0x3ffc38d1, 0x3eacbb74, 0x3ffc7caa,
-  0x3eb94bc8, 0x3ffcbe0c, 0x3ec5dc28, 0x3ffcfcf6,
-  0x3ed26c94, 0x3ffd3969, 0x3edefd0c, 0x3ffd7364,
-  0x3eeb8d8f, 0x3ffdaae7, 0x3ef81e1d, 0x3ffddff3,
-  0x3f04aeb5, 0x3ffe1288, 0x3f113f56, 0x3ffe42a4,
-  0x3f1dd001, 0x3ffe704a, 0x3f2a60b4, 0x3ffe9b77,
-  0x3f36f170, 0x3ffec42d, 0x3f438234, 0x3ffeea6c,
-  0x3f5012fe, 0x3fff0e32, 0x3f5ca3d0, 0x3fff2f82,
-  0x3f6934a8, 0x3fff4e59, 0x3f75c585, 0x3fff6ab9,
-  0x3f825668, 0x3fff84a1, 0x3f8ee750, 0x3fff9c12,
-  0x3f9b783c, 0x3fffb10b, 0x3fa8092c, 0x3fffc38c,
-  0x3fb49a1f, 0x3fffd396, 0x3fc12b16, 0x3fffe128,
-  0x3fcdbc0f, 0x3fffec43, 0x3fda4d09, 0x3ffff4e6,
-  0x3fe6de05, 0x3ffffb11, 0x3ff36f02, 0x3ffffec4,
+    0x40000000, 0xc0000000, 0x3ff36f02, 0xc000013c,
+    0x3fe6de05, 0xc00004ef, 0x3fda4d09, 0xc0000b1a,
+    0x3fcdbc0f, 0xc00013bd, 0x3fc12b16, 0xc0001ed8,
+    0x3fb49a1f, 0xc0002c6a, 0x3fa8092c, 0xc0003c74,
+    0x3f9b783c, 0xc0004ef5, 0x3f8ee750, 0xc00063ee,
+    0x3f825668, 0xc0007b5f, 0x3f75c585, 0xc0009547,
+    0x3f6934a8, 0xc000b1a7, 0x3f5ca3d0, 0xc000d07e,
+    0x3f5012fe, 0xc000f1ce, 0x3f438234, 0xc0011594,
+    0x3f36f170, 0xc0013bd3, 0x3f2a60b4, 0xc0016489,
+    0x3f1dd001, 0xc0018fb6, 0x3f113f56, 0xc001bd5c,
+    0x3f04aeb5, 0xc001ed78, 0x3ef81e1d, 0xc002200d,
+    0x3eeb8d8f, 0xc0025519, 0x3edefd0c, 0xc0028c9c,
+    0x3ed26c94, 0xc002c697, 0x3ec5dc28, 0xc003030a,
+    0x3eb94bc8, 0xc00341f4, 0x3eacbb74, 0xc0038356,
+    0x3ea02b2e, 0xc003c72f, 0x3e939af5, 0xc0040d80,
+    0x3e870aca, 0xc0045648, 0x3e7a7aae, 0xc004a188,
+    0x3e6deaa1, 0xc004ef3f, 0x3e615aa3, 0xc0053f6e,
+    0x3e54cab5, 0xc0059214, 0x3e483ad8, 0xc005e731,
+    0x3e3bab0b, 0xc0063ec6, 0x3e2f1b50, 0xc00698d3,
+    0x3e228ba7, 0xc006f556, 0x3e15fc11, 0xc0075452,
+    0x3e096c8d, 0xc007b5c4, 0x3dfcdd1d, 0xc00819ae,
+    0x3df04dc0, 0xc008800f, 0x3de3be78, 0xc008e8e8,
+    0x3dd72f45, 0xc0095438, 0x3dcaa027, 0xc009c1ff,
+    0x3dbe111e, 0xc00a323d, 0x3db1822c, 0xc00aa4f3,
+    0x3da4f351, 0xc00b1a20, 0x3d98648d, 0xc00b91c4,
+    0x3d8bd5e1, 0xc00c0be0, 0x3d7f474d, 0xc00c8872,
+    0x3d72b8d2, 0xc00d077c, 0x3d662a70, 0xc00d88fd,
+    0x3d599c28, 0xc00e0cf5, 0x3d4d0df9, 0xc00e9364,
+    0x3d407fe6, 0xc00f1c4a, 0x3d33f1ed, 0xc00fa7a8,
+    0x3d276410, 0xc010357c, 0x3d1ad650, 0xc010c5c7,
+    0x3d0e48ab, 0xc011588a, 0x3d01bb24, 0xc011edc3,
+    0x3cf52dbb, 0xc0128574, 0x3ce8a06f, 0xc0131f9b,
+    0x3cdc1342, 0xc013bc39, 0x3ccf8634, 0xc0145b4e,
+    0x3cc2f945, 0xc014fcda, 0x3cb66c77, 0xc015a0dd,
+    0x3ca9dfc8, 0xc0164757, 0x3c9d533b, 0xc016f047,
+    0x3c90c6cf, 0xc0179bae, 0x3c843a85, 0xc018498c,
+    0x3c77ae5e, 0xc018f9e1, 0x3c6b2259, 0xc019acac,
+    0x3c5e9678, 0xc01a61ee, 0x3c520aba, 0xc01b19a7,
+    0x3c457f21, 0xc01bd3d6, 0x3c38f3ac, 0xc01c907c,
+    0x3c2c685d, 0xc01d4f99, 0x3c1fdd34, 0xc01e112b,
+    0x3c135231, 0xc01ed535, 0x3c06c754, 0xc01f9bb5,
+    0x3bfa3c9f, 0xc02064ab, 0x3bedb212, 0xc0213018,
+    0x3be127ac, 0xc021fdfb, 0x3bd49d70, 0xc022ce54,
+    0x3bc8135c, 0xc023a124, 0x3bbb8973, 0xc024766a,
+    0x3baeffb3, 0xc0254e27, 0x3ba2761e, 0xc0262859,
+    0x3b95ecb4, 0xc0270502, 0x3b896375, 0xc027e421,
+    0x3b7cda63, 0xc028c5b6, 0x3b70517d, 0xc029a9c1,
+    0x3b63c8c4, 0xc02a9042, 0x3b574039, 0xc02b7939,
+    0x3b4ab7db, 0xc02c64a6, 0x3b3e2fac, 0xc02d5289,
+    0x3b31a7ac, 0xc02e42e2, 0x3b251fdc, 0xc02f35b1,
+    0x3b18983b, 0xc0302af5, 0x3b0c10cb, 0xc03122b0,
+    0x3aff898c, 0xc0321ce0, 0x3af3027e, 0xc0331986,
+    0x3ae67ba2, 0xc03418a2, 0x3ad9f4f8, 0xc0351a33,
+    0x3acd6e81, 0xc0361e3a, 0x3ac0e83d, 0xc03724b6,
+    0x3ab4622d, 0xc0382da8, 0x3aa7dc52, 0xc0393910,
+    0x3a9b56ab, 0xc03a46ed, 0x3a8ed139, 0xc03b573f,
+    0x3a824bfd, 0xc03c6a07, 0x3a75c6f8, 0xc03d7f44,
+    0x3a694229, 0xc03e96f6, 0x3a5cbd91, 0xc03fb11d,
+    0x3a503930, 0xc040cdba, 0x3a43b508, 0xc041eccc,
+    0x3a373119, 0xc0430e53, 0x3a2aad62, 0xc044324f,
+    0x3a1e29e5, 0xc04558c0, 0x3a11a6a3, 0xc04681a6,
+    0x3a05239a, 0xc047ad01, 0x39f8a0cd, 0xc048dad1,
+    0x39ec1e3b, 0xc04a0b16, 0x39df9be6, 0xc04b3dcf,
+    0x39d319cc, 0xc04c72fe, 0x39c697f0, 0xc04daaa1,
+    0x39ba1651, 0xc04ee4b8, 0x39ad94f0, 0xc0502145,
+    0x39a113cd, 0xc0516045, 0x399492ea, 0xc052a1bb,
+    0x39881245, 0xc053e5a5, 0x397b91e1, 0xc0552c03,
+    0x396f11bc, 0xc05674d6, 0x396291d9, 0xc057c01d,
+    0x39561237, 0xc0590dd8, 0x394992d7, 0xc05a5e07,
+    0x393d13b8, 0xc05bb0ab, 0x393094dd, 0xc05d05c3,
+    0x39241645, 0xc05e5d4e, 0x391797f0, 0xc05fb74e,
+    0x390b19e0, 0xc06113c2, 0x38fe9c15, 0xc06272aa,
+    0x38f21e8e, 0xc063d405, 0x38e5a14d, 0xc06537d4,
+    0x38d92452, 0xc0669e18, 0x38cca79e, 0xc06806ce,
+    0x38c02b31, 0xc06971f9, 0x38b3af0c, 0xc06adf97,
+    0x38a7332e, 0xc06c4fa8, 0x389ab799, 0xc06dc22e,
+    0x388e3c4d, 0xc06f3726, 0x3881c14b, 0xc070ae92,
+    0x38754692, 0xc0722871, 0x3868cc24, 0xc073a4c3,
+    0x385c5201, 0xc0752389, 0x384fd829, 0xc076a4c2,
+    0x38435e9d, 0xc078286e, 0x3836e55d, 0xc079ae8c,
+    0x382a6c6a, 0xc07b371e, 0x381df3c5, 0xc07cc223,
+    0x38117b6d, 0xc07e4f9b, 0x38050364, 0xc07fdf85,
+    0x37f88ba9, 0xc08171e2, 0x37ec143e, 0xc08306b2,
+    0x37df9d22, 0xc0849df4, 0x37d32657, 0xc08637a9,
+    0x37c6afdc, 0xc087d3d0, 0x37ba39b3, 0xc089726a,
+    0x37adc3db, 0xc08b1376, 0x37a14e55, 0xc08cb6f5,
+    0x3794d922, 0xc08e5ce5, 0x37886442, 0xc0900548,
+    0x377befb5, 0xc091b01d, 0x376f7b7d, 0xc0935d64,
+    0x37630799, 0xc0950d1d, 0x3756940a, 0xc096bf48,
+    0x374a20d0, 0xc09873e4, 0x373daded, 0xc09a2af3,
+    0x37313b60, 0xc09be473, 0x3724c92a, 0xc09da065,
+    0x3718574b, 0xc09f5ec8, 0x370be5c4, 0xc0a11f9d,
+    0x36ff7496, 0xc0a2e2e3, 0x36f303c0, 0xc0a4a89b,
+    0x36e69344, 0xc0a670c4, 0x36da2321, 0xc0a83b5e,
+    0x36cdb359, 0xc0aa086a, 0x36c143ec, 0xc0abd7e6,
+    0x36b4d4d9, 0xc0ada9d4, 0x36a86623, 0xc0af7e33,
+    0x369bf7c9, 0xc0b15502, 0x368f89cb, 0xc0b32e42,
+    0x36831c2b, 0xc0b509f3, 0x3676aee8, 0xc0b6e815,
+    0x366a4203, 0xc0b8c8a7, 0x365dd57d, 0xc0baabaa,
+    0x36516956, 0xc0bc911d, 0x3644fd8f, 0xc0be7901,
+    0x36389228, 0xc0c06355, 0x362c2721, 0xc0c25019,
+    0x361fbc7b, 0xc0c43f4d, 0x36135237, 0xc0c630f2,
+    0x3606e854, 0xc0c82506, 0x35fa7ed4, 0xc0ca1b8a,
+    0x35ee15b7, 0xc0cc147f, 0x35e1acfd, 0xc0ce0fe3,
+    0x35d544a7, 0xc0d00db6, 0x35c8dcb6, 0xc0d20dfa,
+    0x35bc7529, 0xc0d410ad, 0x35b00e02, 0xc0d615cf,
+    0x35a3a740, 0xc0d81d61, 0x359740e5, 0xc0da2762,
+    0x358adaf0, 0xc0dc33d2, 0x357e7563, 0xc0de42b2,
+    0x3572103d, 0xc0e05401, 0x3565ab80, 0xc0e267be,
+    0x3559472b, 0xc0e47deb, 0x354ce33f, 0xc0e69686,
+    0x35407fbd, 0xc0e8b190, 0x35341ca5, 0xc0eacf09,
+    0x3527b9f7, 0xc0eceef1, 0x351b57b5, 0xc0ef1147,
+    0x350ef5de, 0xc0f1360b, 0x35029473, 0xc0f35d3e,
+    0x34f63374, 0xc0f586df, 0x34e9d2e3, 0xc0f7b2ee,
+    0x34dd72be, 0xc0f9e16b, 0x34d11308, 0xc0fc1257,
+    0x34c4b3c0, 0xc0fe45b0, 0x34b854e7, 0xc1007b77,
+    0x34abf67e, 0xc102b3ac, 0x349f9884, 0xc104ee4f,
+    0x34933afa, 0xc1072b5f, 0x3486dde1, 0xc1096add,
+    0x347a8139, 0xc10bacc8, 0x346e2504, 0xc10df120,
+    0x3461c940, 0xc11037e6, 0x34556def, 0xc1128119,
+    0x34491311, 0xc114ccb9, 0x343cb8a7, 0xc1171ac6,
+    0x34305eb0, 0xc1196b3f, 0x3424052f, 0xc11bbe26,
+    0x3417ac22, 0xc11e1379, 0x340b538b, 0xc1206b39,
+    0x33fefb6a, 0xc122c566, 0x33f2a3bf, 0xc12521ff,
+    0x33e64c8c, 0xc1278104, 0x33d9f5cf, 0xc129e276,
+    0x33cd9f8b, 0xc12c4653, 0x33c149bf, 0xc12eac9d,
+    0x33b4f46c, 0xc1311553, 0x33a89f92, 0xc1338075,
+    0x339c4b32, 0xc135ee02, 0x338ff74d, 0xc1385dfb,
+    0x3383a3e2, 0xc13ad060, 0x337750f2, 0xc13d4530,
+    0x336afe7e, 0xc13fbc6c, 0x335eac86, 0xc1423613,
+    0x33525b0b, 0xc144b225, 0x33460a0d, 0xc14730a3,
+    0x3339b98d, 0xc149b18b, 0x332d698a, 0xc14c34df,
+    0x33211a07, 0xc14eba9d, 0x3314cb02, 0xc15142c6,
+    0x33087c7d, 0xc153cd5a, 0x32fc2e77, 0xc1565a58,
+    0x32efe0f2, 0xc158e9c1, 0x32e393ef, 0xc15b7b94,
+    0x32d7476c, 0xc15e0fd1, 0x32cafb6b, 0xc160a678,
+    0x32beafed, 0xc1633f8a, 0x32b264f2, 0xc165db05,
+    0x32a61a7a, 0xc16878eb, 0x3299d085, 0xc16b193a,
+    0x328d8715, 0xc16dbbf3, 0x32813e2a, 0xc1706115,
+    0x3274f5c3, 0xc17308a1, 0x3268ade3, 0xc175b296,
+    0x325c6688, 0xc1785ef4, 0x32501fb5, 0xc17b0dbb,
+    0x3243d968, 0xc17dbeec, 0x323793a3, 0xc1807285,
+    0x322b4e66, 0xc1832888, 0x321f09b1, 0xc185e0f3,
+    0x3212c585, 0xc1889bc6, 0x320681e3, 0xc18b5903,
+    0x31fa3ecb, 0xc18e18a7, 0x31edfc3d, 0xc190dab4,
+    0x31e1ba3a, 0xc1939f29, 0x31d578c2, 0xc1966606,
+    0x31c937d6, 0xc1992f4c, 0x31bcf777, 0xc19bfaf9,
+    0x31b0b7a4, 0xc19ec90d, 0x31a4785e, 0xc1a1998a,
+    0x319839a6, 0xc1a46c6e, 0x318bfb7d, 0xc1a741b9,
+    0x317fbde2, 0xc1aa196c, 0x317380d6, 0xc1acf386,
+    0x31674459, 0xc1afd007, 0x315b086d, 0xc1b2aef0,
+    0x314ecd11, 0xc1b5903f, 0x31429247, 0xc1b873f5,
+    0x3136580d, 0xc1bb5a11, 0x312a1e66, 0xc1be4294,
+    0x311de551, 0xc1c12d7e, 0x3111accf, 0xc1c41ace,
+    0x310574e0, 0xc1c70a84, 0x30f93d86, 0xc1c9fca0,
+    0x30ed06bf, 0xc1ccf122, 0x30e0d08d, 0xc1cfe80a,
+    0x30d49af1, 0xc1d2e158, 0x30c865ea, 0xc1d5dd0c,
+    0x30bc317a, 0xc1d8db25, 0x30affda0, 0xc1dbdba3,
+    0x30a3ca5d, 0xc1dede87, 0x309797b2, 0xc1e1e3d0,
+    0x308b659f, 0xc1e4eb7e, 0x307f3424, 0xc1e7f591,
+    0x30730342, 0xc1eb0209, 0x3066d2fa, 0xc1ee10e5,
+    0x305aa34c, 0xc1f12227, 0x304e7438, 0xc1f435cc,
+    0x304245c0, 0xc1f74bd6, 0x303617e2, 0xc1fa6445,
+    0x3029eaa1, 0xc1fd7f17, 0x301dbdfb, 0xc2009c4e,
+    0x301191f3, 0xc203bbe8, 0x30056687, 0xc206dde6,
+    0x2ff93bba, 0xc20a0248, 0x2fed118a, 0xc20d290d,
+    0x2fe0e7f9, 0xc2105236, 0x2fd4bf08, 0xc2137dc2,
+    0x2fc896b5, 0xc216abb1, 0x2fbc6f03, 0xc219dc03,
+    0x2fb047f2, 0xc21d0eb8, 0x2fa42181, 0xc22043d0,
+    0x2f97fbb2, 0xc2237b4b, 0x2f8bd685, 0xc226b528,
+    0x2f7fb1fa, 0xc229f167, 0x2f738e12, 0xc22d3009,
+    0x2f676ace, 0xc230710d, 0x2f5b482d, 0xc233b473,
+    0x2f4f2630, 0xc236fa3b, 0x2f4304d8, 0xc23a4265,
+    0x2f36e426, 0xc23d8cf1, 0x2f2ac419, 0xc240d9de,
+    0x2f1ea4b2, 0xc244292c, 0x2f1285f2, 0xc2477adc,
+    0x2f0667d9, 0xc24aceed, 0x2efa4a67, 0xc24e255e,
+    0x2eee2d9d, 0xc2517e31, 0x2ee2117c, 0xc254d965,
+    0x2ed5f604, 0xc25836f9, 0x2ec9db35, 0xc25b96ee,
+    0x2ebdc110, 0xc25ef943, 0x2eb1a796, 0xc2625df8,
+    0x2ea58ec6, 0xc265c50e, 0x2e9976a1, 0xc2692e83,
+    0x2e8d5f29, 0xc26c9a58, 0x2e81485c, 0xc270088e,
+    0x2e75323c, 0xc2737922, 0x2e691cc9, 0xc276ec16,
+    0x2e5d0804, 0xc27a616a, 0x2e50f3ed, 0xc27dd91c,
+    0x2e44e084, 0xc281532e, 0x2e38cdcb, 0xc284cf9f,
+    0x2e2cbbc1, 0xc2884e6e, 0x2e20aa67, 0xc28bcf9c,
+    0x2e1499bd, 0xc28f5329, 0x2e0889c4, 0xc292d914,
+    0x2dfc7a7c, 0xc296615d, 0x2df06be6, 0xc299ec05,
+    0x2de45e03, 0xc29d790a, 0x2dd850d2, 0xc2a1086d,
+    0x2dcc4454, 0xc2a49a2e, 0x2dc0388a, 0xc2a82e4d,
+    0x2db42d74, 0xc2abc4c9, 0x2da82313, 0xc2af5da2,
+    0x2d9c1967, 0xc2b2f8d8, 0x2d901070, 0xc2b6966c,
+    0x2d84082f, 0xc2ba365c, 0x2d7800a5, 0xc2bdd8a9,
+    0x2d6bf9d1, 0xc2c17d52, 0x2d5ff3b5, 0xc2c52459,
+    0x2d53ee51, 0xc2c8cdbb, 0x2d47e9a5, 0xc2cc7979,
+    0x2d3be5b1, 0xc2d02794, 0x2d2fe277, 0xc2d3d80a,
+    0x2d23dff7, 0xc2d78add, 0x2d17de31, 0xc2db400a,
+    0x2d0bdd25, 0xc2def794, 0x2cffdcd4, 0xc2e2b178,
+    0x2cf3dd3f, 0xc2e66db8, 0x2ce7de66, 0xc2ea2c53,
+    0x2cdbe04a, 0xc2eded49, 0x2ccfe2ea, 0xc2f1b099,
+    0x2cc3e648, 0xc2f57644, 0x2cb7ea63, 0xc2f93e4a,
+    0x2cabef3d, 0xc2fd08a9, 0x2c9ff4d6, 0xc300d563,
+    0x2c93fb2e, 0xc304a477, 0x2c880245, 0xc30875e5,
+    0x2c7c0a1d, 0xc30c49ad, 0x2c7012b5, 0xc3101fce,
+    0x2c641c0e, 0xc313f848, 0x2c582629, 0xc317d31c,
+    0x2c4c3106, 0xc31bb049, 0x2c403ca5, 0xc31f8fcf,
+    0x2c344908, 0xc32371ae, 0x2c28562d, 0xc32755e5,
+    0x2c1c6417, 0xc32b3c75, 0x2c1072c4, 0xc32f255e,
+    0x2c048237, 0xc333109e, 0x2bf8926f, 0xc336fe37,
+    0x2beca36c, 0xc33aee27, 0x2be0b52f, 0xc33ee070,
+    0x2bd4c7ba, 0xc342d510, 0x2bc8db0b, 0xc346cc07,
+    0x2bbcef23, 0xc34ac556, 0x2bb10404, 0xc34ec0fc,
+    0x2ba519ad, 0xc352bef9, 0x2b99301f, 0xc356bf4d,
+    0x2b8d475b, 0xc35ac1f7, 0x2b815f60, 0xc35ec6f8,
+    0x2b75782f, 0xc362ce50, 0x2b6991ca, 0xc366d7fd,
+    0x2b5dac2f, 0xc36ae401, 0x2b51c760, 0xc36ef25b,
+    0x2b45e35d, 0xc373030a, 0x2b3a0027, 0xc377160f,
+    0x2b2e1dbe, 0xc37b2b6a, 0x2b223c22, 0xc37f4319,
+    0x2b165b54, 0xc3835d1e, 0x2b0a7b54, 0xc3877978,
+    0x2afe9c24, 0xc38b9827, 0x2af2bdc3, 0xc38fb92a,
+    0x2ae6e031, 0xc393dc82, 0x2adb0370, 0xc398022f,
+    0x2acf277f, 0xc39c2a2f, 0x2ac34c60, 0xc3a05484,
+    0x2ab77212, 0xc3a4812c, 0x2aab9896, 0xc3a8b028,
+    0x2a9fbfed, 0xc3ace178, 0x2a93e817, 0xc3b1151b,
+    0x2a881114, 0xc3b54b11, 0x2a7c3ae5, 0xc3b9835a,
+    0x2a70658a, 0xc3bdbdf6, 0x2a649105, 0xc3c1fae5,
+    0x2a58bd54, 0xc3c63a26, 0x2a4cea79, 0xc3ca7bba,
+    0x2a411874, 0xc3cebfa0, 0x2a354746, 0xc3d305d8,
+    0x2a2976ef, 0xc3d74e62, 0x2a1da770, 0xc3db993e,
+    0x2a11d8c8, 0xc3dfe66c, 0x2a060af9, 0xc3e435ea,
+    0x29fa3e03, 0xc3e887bb, 0x29ee71e6, 0xc3ecdbdc,
+    0x29e2a6a3, 0xc3f1324e, 0x29d6dc3b, 0xc3f58b10,
+    0x29cb12ad, 0xc3f9e624, 0x29bf49fa, 0xc3fe4388,
+    0x29b38223, 0xc402a33c, 0x29a7bb28, 0xc4070540,
+    0x299bf509, 0xc40b6994, 0x29902fc7, 0xc40fd037,
+    0x29846b63, 0xc414392b, 0x2978a7dd, 0xc418a46d,
+    0x296ce535, 0xc41d11ff, 0x2961236c, 0xc42181e0,
+    0x29556282, 0xc425f410, 0x2949a278, 0xc42a688f,
+    0x293de34e, 0xc42edf5c, 0x29322505, 0xc4335877,
+    0x2926679c, 0xc437d3e1, 0x291aab16, 0xc43c5199,
+    0x290eef71, 0xc440d19e, 0x290334af, 0xc44553f2,
+    0x28f77acf, 0xc449d892, 0x28ebc1d3, 0xc44e5f80,
+    0x28e009ba, 0xc452e8bc, 0x28d45286, 0xc4577444,
+    0x28c89c37, 0xc45c0219, 0x28bce6cd, 0xc460923b,
+    0x28b13248, 0xc46524a9, 0x28a57ea9, 0xc469b963,
+    0x2899cbf1, 0xc46e5069, 0x288e1a20, 0xc472e9bc,
+    0x28826936, 0xc477855a, 0x2876b934, 0xc47c2344,
+    0x286b0a1a, 0xc480c379, 0x285f5be9, 0xc48565f9,
+    0x2853aea1, 0xc48a0ac4, 0x28480243, 0xc48eb1db,
+    0x283c56cf, 0xc4935b3c, 0x2830ac45, 0xc49806e7,
+    0x282502a7, 0xc49cb4dd, 0x281959f4, 0xc4a1651c,
+    0x280db22d, 0xc4a617a6, 0x28020b52, 0xc4aacc7a,
+    0x27f66564, 0xc4af8397, 0x27eac063, 0xc4b43cfd,
+    0x27df1c50, 0xc4b8f8ad, 0x27d3792b, 0xc4bdb6a6,
+    0x27c7d6f4, 0xc4c276e8, 0x27bc35ad, 0xc4c73972,
+    0x27b09555, 0xc4cbfe45, 0x27a4f5ed, 0xc4d0c560,
+    0x27995776, 0xc4d58ec3, 0x278db9ef, 0xc4da5a6f,
+    0x27821d59, 0xc4df2862, 0x277681b6, 0xc4e3f89c,
+    0x276ae704, 0xc4e8cb1e, 0x275f4d45, 0xc4ed9fe7,
+    0x2753b479, 0xc4f276f7, 0x27481ca1, 0xc4f7504e,
+    0x273c85bc, 0xc4fc2bec, 0x2730efcc, 0xc50109d0,
+    0x27255ad1, 0xc505e9fb, 0x2719c6cb, 0xc50acc6b,
+    0x270e33bb, 0xc50fb121, 0x2702a1a1, 0xc514981d,
+    0x26f7107e, 0xc519815f, 0x26eb8052, 0xc51e6ce6,
+    0x26dff11d, 0xc5235ab2, 0x26d462e1, 0xc5284ac3,
+    0x26c8d59c, 0xc52d3d18, 0x26bd4951, 0xc53231b3,
+    0x26b1bdff, 0xc5372891, 0x26a633a6, 0xc53c21b4,
+    0x269aaa48, 0xc5411d1b, 0x268f21e5, 0xc5461ac6,
+    0x26839a7c, 0xc54b1ab4, 0x26781410, 0xc5501ce5,
+    0x266c8e9f, 0xc555215a, 0x26610a2a, 0xc55a2812,
+    0x265586b3, 0xc55f310d, 0x264a0438, 0xc5643c4a,
+    0x263e82bc, 0xc56949ca, 0x2633023e, 0xc56e598c,
+    0x262782be, 0xc5736b90, 0x261c043d, 0xc5787fd6,
+    0x261086bc, 0xc57d965d, 0x26050a3b, 0xc582af26,
+    0x25f98ebb, 0xc587ca31, 0x25ee143b, 0xc58ce77c,
+    0x25e29abc, 0xc5920708, 0x25d72240, 0xc59728d5,
+    0x25cbaac5, 0xc59c4ce3, 0x25c0344d, 0xc5a17330,
+    0x25b4bed8, 0xc5a69bbe, 0x25a94a67, 0xc5abc68c,
+    0x259dd6f9, 0xc5b0f399, 0x25926490, 0xc5b622e6,
+    0x2586f32c, 0xc5bb5472, 0x257b82cd, 0xc5c0883d,
+    0x25701374, 0xc5c5be47, 0x2564a521, 0xc5caf690,
+    0x255937d5, 0xc5d03118, 0x254dcb8f, 0xc5d56ddd,
+    0x25426051, 0xc5daace1, 0x2536f61b, 0xc5dfee22,
+    0x252b8cee, 0xc5e531a1, 0x252024c9, 0xc5ea775e,
+    0x2514bdad, 0xc5efbf58, 0x2509579b, 0xc5f5098f,
+    0x24fdf294, 0xc5fa5603, 0x24f28e96, 0xc5ffa4b3,
+    0x24e72ba4, 0xc604f5a0, 0x24dbc9bd, 0xc60a48c9,
+    0x24d068e2, 0xc60f9e2e, 0x24c50914, 0xc614f5cf,
+    0x24b9aa52, 0xc61a4fac, 0x24ae4c9d, 0xc61fabc4,
+    0x24a2eff6, 0xc6250a18, 0x2497945d, 0xc62a6aa6,
+    0x248c39d3, 0xc62fcd6f, 0x2480e057, 0xc6353273,
+    0x247587eb, 0xc63a99b1, 0x246a308f, 0xc6400329,
+    0x245eda43, 0xc6456edb, 0x24538507, 0xc64adcc7,
+    0x244830dd, 0xc6504ced, 0x243cddc4, 0xc655bf4c,
+    0x24318bbe, 0xc65b33e4, 0x24263ac9, 0xc660aab5,
+    0x241aeae8, 0xc66623be, 0x240f9c1a, 0xc66b9f01,
+    0x24044e60, 0xc6711c7b, 0x23f901ba, 0xc6769c2e,
+    0x23edb628, 0xc67c1e18, 0x23e26bac, 0xc681a23a,
+    0x23d72245, 0xc6872894, 0x23cbd9f4, 0xc68cb124,
+    0x23c092b9, 0xc6923bec, 0x23b54c95, 0xc697c8eb,
+    0x23aa0788, 0xc69d5820, 0x239ec393, 0xc6a2e98b,
+    0x239380b6, 0xc6a87d2d, 0x23883ef2, 0xc6ae1304,
+    0x237cfe47, 0xc6b3ab12, 0x2371beb5, 0xc6b94554,
+    0x2366803c, 0xc6bee1cd, 0x235b42df, 0xc6c4807a,
+    0x2350069b, 0xc6ca215c, 0x2344cb73, 0xc6cfc472,
+    0x23399167, 0xc6d569be, 0x232e5876, 0xc6db113d,
+    0x232320a2, 0xc6e0baf0, 0x2317e9eb, 0xc6e666d7,
+    0x230cb451, 0xc6ec14f2, 0x23017fd5, 0xc6f1c540,
+    0x22f64c77, 0xc6f777c1, 0x22eb1a37, 0xc6fd2c75,
+    0x22dfe917, 0xc702e35c, 0x22d4b916, 0xc7089c75,
+    0x22c98a35, 0xc70e57c0, 0x22be5c74, 0xc714153e,
+    0x22b32fd4, 0xc719d4ed, 0x22a80456, 0xc71f96ce,
+    0x229cd9f8, 0xc7255ae0, 0x2291b0bd, 0xc72b2123,
+    0x228688a4, 0xc730e997, 0x227b61af, 0xc736b43c,
+    0x22703bdc, 0xc73c8111, 0x2265172e, 0xc7425016,
+    0x2259f3a3, 0xc748214c, 0x224ed13d, 0xc74df4b1,
+    0x2243affc, 0xc753ca46, 0x22388fe1, 0xc759a20a,
+    0x222d70eb, 0xc75f7bfe, 0x2222531c, 0xc7655820,
+    0x22173674, 0xc76b3671, 0x220c1af3, 0xc77116f0,
+    0x22010099, 0xc776f99d, 0x21f5e768, 0xc77cde79,
+    0x21eacf5f, 0xc782c582, 0x21dfb87f, 0xc788aeb9,
+    0x21d4a2c8, 0xc78e9a1d, 0x21c98e3b, 0xc79487ae,
+    0x21be7ad8, 0xc79a776c, 0x21b368a0, 0xc7a06957,
+    0x21a85793, 0xc7a65d6e, 0x219d47b1, 0xc7ac53b1,
+    0x219238fb, 0xc7b24c20, 0x21872b72, 0xc7b846ba,
+    0x217c1f15, 0xc7be4381, 0x217113e5, 0xc7c44272,
+    0x216609e3, 0xc7ca438f, 0x215b0110, 0xc7d046d6,
+    0x214ff96a, 0xc7d64c47, 0x2144f2f3, 0xc7dc53e3,
+    0x2139edac, 0xc7e25daa, 0x212ee995, 0xc7e8699a,
+    0x2123e6ad, 0xc7ee77b3, 0x2118e4f6, 0xc7f487f6,
+    0x210de470, 0xc7fa9a62, 0x2102e51c, 0xc800aef7,
+    0x20f7e6f9, 0xc806c5b5, 0x20ecea09, 0xc80cde9b,
+    0x20e1ee4b, 0xc812f9a9, 0x20d6f3c1, 0xc81916df,
+    0x20cbfa6a, 0xc81f363d, 0x20c10247, 0xc82557c3,
+    0x20b60b58, 0xc82b7b70, 0x20ab159e, 0xc831a143,
+    0x20a0211a, 0xc837c93e, 0x20952dcb, 0xc83df35f,
+    0x208a3bb2, 0xc8441fa6, 0x207f4acf, 0xc84a4e14,
+    0x20745b24, 0xc8507ea7, 0x20696cb0, 0xc856b160,
+    0x205e7f74, 0xc85ce63e, 0x2053936f, 0xc8631d42,
+    0x2048a8a4, 0xc869566a, 0x203dbf11, 0xc86f91b7,
+    0x2032d6b8, 0xc875cf28, 0x2027ef99, 0xc87c0ebd,
+    0x201d09b4, 0xc8825077, 0x2012250a, 0xc8889454,
+    0x2007419b, 0xc88eda54, 0x1ffc5f67, 0xc8952278,
+    0x1ff17e70, 0xc89b6cbf, 0x1fe69eb4, 0xc8a1b928,
+    0x1fdbc036, 0xc8a807b4, 0x1fd0e2f5, 0xc8ae5862,
+    0x1fc606f1, 0xc8b4ab32, 0x1fbb2c2c, 0xc8bb0023,
+    0x1fb052a5, 0xc8c15736, 0x1fa57a5d, 0xc8c7b06b,
+    0x1f9aa354, 0xc8ce0bc0, 0x1f8fcd8b, 0xc8d46936,
+    0x1f84f902, 0xc8dac8cd, 0x1f7a25ba, 0xc8e12a84,
+    0x1f6f53b3, 0xc8e78e5b, 0x1f6482ed, 0xc8edf452,
+    0x1f59b369, 0xc8f45c68, 0x1f4ee527, 0xc8fac69e,
+    0x1f441828, 0xc90132f2, 0x1f394c6b, 0xc907a166,
+    0x1f2e81f3, 0xc90e11f7, 0x1f23b8be, 0xc91484a8,
+    0x1f18f0ce, 0xc91af976, 0x1f0e2a22, 0xc9217062,
+    0x1f0364bc, 0xc927e96b, 0x1ef8a09b, 0xc92e6492,
+    0x1eedddc0, 0xc934e1d6, 0x1ee31c2b, 0xc93b6137,
+    0x1ed85bdd, 0xc941e2b4, 0x1ecd9cd7, 0xc948664d,
+    0x1ec2df18, 0xc94eec03, 0x1eb822a1, 0xc95573d4,
+    0x1ead6773, 0xc95bfdc1, 0x1ea2ad8d, 0xc96289c9,
+    0x1e97f4f1, 0xc96917ec, 0x1e8d3d9e, 0xc96fa82a,
+    0x1e828796, 0xc9763a83, 0x1e77d2d8, 0xc97ccef5,
+    0x1e6d1f65, 0xc9836582, 0x1e626d3e, 0xc989fe29,
+    0x1e57bc62, 0xc99098e9, 0x1e4d0cd2, 0xc99735c2,
+    0x1e425e8f, 0xc99dd4b4, 0x1e37b199, 0xc9a475bf,
+    0x1e2d05f1, 0xc9ab18e3, 0x1e225b96, 0xc9b1be1e,
+    0x1e17b28a, 0xc9b86572, 0x1e0d0acc, 0xc9bf0edd,
+    0x1e02645d, 0xc9c5ba60, 0x1df7bf3e, 0xc9cc67fa,
+    0x1ded1b6e, 0xc9d317ab, 0x1de278ef, 0xc9d9c973,
+    0x1dd7d7c1, 0xc9e07d51, 0x1dcd37e4, 0xc9e73346,
+    0x1dc29958, 0xc9edeb50, 0x1db7fc1e, 0xc9f4a570,
+    0x1dad6036, 0xc9fb61a5, 0x1da2c5a2, 0xca021fef,
+    0x1d982c60, 0xca08e04f, 0x1d8d9472, 0xca0fa2c3,
+    0x1d82fdd8, 0xca16674b, 0x1d786892, 0xca1d2de7,
+    0x1d6dd4a2, 0xca23f698, 0x1d634206, 0xca2ac15b,
+    0x1d58b0c0, 0xca318e32, 0x1d4e20d0, 0xca385d1d,
+    0x1d439236, 0xca3f2e19, 0x1d3904f4, 0xca460129,
+    0x1d2e7908, 0xca4cd64b, 0x1d23ee74, 0xca53ad7e,
+    0x1d196538, 0xca5a86c4, 0x1d0edd55, 0xca61621b,
+    0x1d0456ca, 0xca683f83, 0x1cf9d199, 0xca6f1efc,
+    0x1cef4dc2, 0xca760086, 0x1ce4cb44, 0xca7ce420,
+    0x1cda4a21, 0xca83c9ca, 0x1ccfca59, 0xca8ab184,
+    0x1cc54bec, 0xca919b4e, 0x1cbacedb, 0xca988727,
+    0x1cb05326, 0xca9f750f, 0x1ca5d8cd, 0xcaa66506,
+    0x1c9b5fd2, 0xcaad570c, 0x1c90e834, 0xcab44b1f,
+    0x1c8671f3, 0xcabb4141, 0x1c7bfd11, 0xcac23971,
+    0x1c71898d, 0xcac933ae, 0x1c671768, 0xcad02ff8,
+    0x1c5ca6a2, 0xcad72e4f, 0x1c52373c, 0xcade2eb3,
+    0x1c47c936, 0xcae53123, 0x1c3d5c91, 0xcaec35a0,
+    0x1c32f14d, 0xcaf33c28, 0x1c28876a, 0xcafa44bc,
+    0x1c1e1ee9, 0xcb014f5b, 0x1c13b7c9, 0xcb085c05,
+    0x1c09520d, 0xcb0f6aba, 0x1bfeedb3, 0xcb167b79,
+    0x1bf48abd, 0xcb1d8e43, 0x1bea292b, 0xcb24a316,
+    0x1bdfc8fc, 0xcb2bb9f4, 0x1bd56a32, 0xcb32d2da,
+    0x1bcb0cce, 0xcb39edca, 0x1bc0b0ce, 0xcb410ac3,
+    0x1bb65634, 0xcb4829c4, 0x1babfd01, 0xcb4f4acd,
+    0x1ba1a534, 0xcb566ddf, 0x1b974ece, 0xcb5d92f8,
+    0x1b8cf9cf, 0xcb64ba19, 0x1b82a638, 0xcb6be341,
+    0x1b785409, 0xcb730e70, 0x1b6e0342, 0xcb7a3ba5,
+    0x1b63b3e5, 0xcb816ae1, 0x1b5965f1, 0xcb889c23,
+    0x1b4f1967, 0xcb8fcf6b, 0x1b44ce46, 0xcb9704b9,
+    0x1b3a8491, 0xcb9e3c0b, 0x1b303c46, 0xcba57563,
+    0x1b25f566, 0xcbacb0bf, 0x1b1baff2, 0xcbb3ee20,
+    0x1b116beb, 0xcbbb2d85, 0x1b072950, 0xcbc26eee,
+    0x1afce821, 0xcbc9b25a, 0x1af2a860, 0xcbd0f7ca,
+    0x1ae86a0d, 0xcbd83f3d, 0x1ade2d28, 0xcbdf88b3,
+    0x1ad3f1b1, 0xcbe6d42b, 0x1ac9b7a9, 0xcbee21a5,
+    0x1abf7f11, 0xcbf57121, 0x1ab547e8, 0xcbfcc29f,
+    0x1aab122f, 0xcc04161e, 0x1aa0dde7, 0xcc0b6b9e,
+    0x1a96ab0f, 0xcc12c31f, 0x1a8c79a9, 0xcc1a1ca0,
+    0x1a8249b4, 0xcc217822, 0x1a781b31, 0xcc28d5a3,
+    0x1a6dee21, 0xcc303524, 0x1a63c284, 0xcc3796a5,
+    0x1a599859, 0xcc3efa25, 0x1a4f6fa3, 0xcc465fa3,
+    0x1a454860, 0xcc4dc720, 0x1a3b2292, 0xcc55309b,
+    0x1a30fe38, 0xcc5c9c14, 0x1a26db54, 0xcc64098b,
+    0x1a1cb9e5, 0xcc6b78ff, 0x1a1299ec, 0xcc72ea70,
+    0x1a087b69, 0xcc7a5dde, 0x19fe5e5e, 0xcc81d349,
+    0x19f442c9, 0xcc894aaf, 0x19ea28ac, 0xcc90c412,
+    0x19e01006, 0xcc983f70, 0x19d5f8d9, 0xcc9fbcca,
+    0x19cbe325, 0xcca73c1e, 0x19c1cee9, 0xccaebd6e,
+    0x19b7bc27, 0xccb640b8, 0x19adaadf, 0xccbdc5fc,
+    0x19a39b11, 0xccc54d3a, 0x19998cbe, 0xccccd671,
+    0x198f7fe6, 0xccd461a2, 0x19857489, 0xccdbeecc,
+    0x197b6aa8, 0xcce37def, 0x19716243, 0xcceb0f0a,
+    0x19675b5a, 0xccf2a21d, 0x195d55ef, 0xccfa3729,
+    0x19535201, 0xcd01ce2b, 0x19494f90, 0xcd096725,
+    0x193f4e9e, 0xcd110216, 0x19354f2a, 0xcd189efe,
+    0x192b5135, 0xcd203ddc, 0x192154bf, 0xcd27deb0,
+    0x191759c9, 0xcd2f817b, 0x190d6053, 0xcd37263a,
+    0x1903685d, 0xcd3eccef, 0x18f971e8, 0xcd467599,
+    0x18ef7cf4, 0xcd4e2037, 0x18e58982, 0xcd55ccca,
+    0x18db9792, 0xcd5d7b50, 0x18d1a724, 0xcd652bcb,
+    0x18c7b838, 0xcd6cde39, 0x18bdcad0, 0xcd74929a,
+    0x18b3deeb, 0xcd7c48ee, 0x18a9f48a, 0xcd840134,
+    0x18a00bae, 0xcd8bbb6d, 0x18962456, 0xcd937798,
+    0x188c3e83, 0xcd9b35b4, 0x18825a35, 0xcda2f5c2,
+    0x1878776d, 0xcdaab7c0, 0x186e962b, 0xcdb27bb0,
+    0x1864b670, 0xcdba4190, 0x185ad83c, 0xcdc20960,
+    0x1850fb8e, 0xcdc9d320, 0x18472069, 0xcdd19ed0,
+    0x183d46cc, 0xcdd96c6f, 0x18336eb7, 0xcde13bfd,
+    0x1829982b, 0xcde90d79, 0x181fc328, 0xcdf0e0e4,
+    0x1815efae, 0xcdf8b63d, 0x180c1dbf, 0xce008d84,
+    0x18024d59, 0xce0866b8, 0x17f87e7f, 0xce1041d9,
+    0x17eeb130, 0xce181ee8, 0x17e4e56c, 0xce1ffde2,
+    0x17db1b34, 0xce27dec9, 0x17d15288, 0xce2fc19c,
+    0x17c78b68, 0xce37a65b, 0x17bdc5d6, 0xce3f8d05,
+    0x17b401d1, 0xce47759a, 0x17aa3f5a, 0xce4f6019,
+    0x17a07e70, 0xce574c84, 0x1796bf16, 0xce5f3ad8,
+    0x178d014a, 0xce672b16, 0x1783450d, 0xce6f1d3d,
+    0x17798a60, 0xce77114e, 0x176fd143, 0xce7f0748,
+    0x176619b6, 0xce86ff2a, 0x175c63ba, 0xce8ef8f4,
+    0x1752af4f, 0xce96f4a7, 0x1748fc75, 0xce9ef241,
+    0x173f4b2e, 0xcea6f1c2, 0x17359b78, 0xceaef32b,
+    0x172bed55, 0xceb6f67a, 0x172240c5, 0xcebefbb0,
+    0x171895c9, 0xcec702cb, 0x170eec60, 0xcecf0bcd,
+    0x1705448b, 0xced716b4, 0x16fb9e4b, 0xcedf2380,
+    0x16f1f99f, 0xcee73231, 0x16e85689, 0xceef42c7,
+    0x16deb508, 0xcef75541, 0x16d5151d, 0xceff699f,
+    0x16cb76c9, 0xcf077fe1, 0x16c1da0b, 0xcf0f9805,
+    0x16b83ee4, 0xcf17b20d, 0x16aea555, 0xcf1fcdf8,
+    0x16a50d5d, 0xcf27ebc5, 0x169b76fe, 0xcf300b74,
+    0x1691e237, 0xcf382d05, 0x16884f09, 0xcf405077,
+    0x167ebd74, 0xcf4875ca, 0x16752d79, 0xcf509cfe,
+    0x166b9f18, 0xcf58c613, 0x16621251, 0xcf60f108,
+    0x16588725, 0xcf691ddd, 0x164efd94, 0xcf714c91,
+    0x1645759f, 0xcf797d24, 0x163bef46, 0xcf81af97,
+    0x16326a88, 0xcf89e3e8, 0x1628e767, 0xcf921a17,
+    0x161f65e4, 0xcf9a5225, 0x1615e5fd, 0xcfa28c10,
+    0x160c67b4, 0xcfaac7d8, 0x1602eb0a, 0xcfb3057d,
+    0x15f96ffd, 0xcfbb4500, 0x15eff690, 0xcfc3865e,
+    0x15e67ec1, 0xcfcbc999, 0x15dd0892, 0xcfd40eaf,
+    0x15d39403, 0xcfdc55a1, 0x15ca2115, 0xcfe49e6d,
+    0x15c0afc6, 0xcfece915, 0x15b74019, 0xcff53597,
+    0x15add20d, 0xcffd83f4, 0x15a465a3, 0xd005d42a,
+    0x159afadb, 0xd00e2639, 0x159191b5, 0xd0167a22,
+    0x15882a32, 0xd01ecfe4, 0x157ec452, 0xd027277e,
+    0x15756016, 0xd02f80f1, 0x156bfd7d, 0xd037dc3b,
+    0x15629c89, 0xd040395d, 0x15593d3a, 0xd0489856,
+    0x154fdf8f, 0xd050f926, 0x15468389, 0xd0595bcd,
+    0x153d292a, 0xd061c04a, 0x1533d070, 0xd06a269d,
+    0x152a795d, 0xd0728ec6, 0x152123f0, 0xd07af8c4,
+    0x1517d02b, 0xd0836497, 0x150e7e0d, 0xd08bd23f,
+    0x15052d97, 0xd09441bb, 0x14fbdec9, 0xd09cb30b,
+    0x14f291a4, 0xd0a5262f, 0x14e94627, 0xd0ad9b26,
+    0x14dffc54, 0xd0b611f1, 0x14d6b42b, 0xd0be8a8d,
+    0x14cd6dab, 0xd0c704fd, 0x14c428d6, 0xd0cf813e,
+    0x14bae5ab, 0xd0d7ff51, 0x14b1a42c, 0xd0e07f36,
+    0x14a86458, 0xd0e900ec, 0x149f2630, 0xd0f18472,
+    0x1495e9b3, 0xd0fa09c9, 0x148caee4, 0xd10290f0,
+    0x148375c1, 0xd10b19e7, 0x147a3e4b, 0xd113a4ad,
+    0x14710883, 0xd11c3142, 0x1467d469, 0xd124bfa6,
+    0x145ea1fd, 0xd12d4fd9, 0x14557140, 0xd135e1d9,
+    0x144c4232, 0xd13e75a8, 0x144314d3, 0xd1470b44,
+    0x1439e923, 0xd14fa2ad, 0x1430bf24, 0xd1583be2,
+    0x142796d5, 0xd160d6e5, 0x141e7037, 0xd16973b3,
+    0x14154b4a, 0xd172124d, 0x140c280e, 0xd17ab2b3,
+    0x14030684, 0xd18354e4, 0x13f9e6ad, 0xd18bf8e0,
+    0x13f0c887, 0xd1949ea6, 0x13e7ac15, 0xd19d4636,
+    0x13de9156, 0xd1a5ef90, 0x13d5784a, 0xd1ae9ab4,
+    0x13cc60f2, 0xd1b747a0, 0x13c34b4f, 0xd1bff656,
+    0x13ba3760, 0xd1c8a6d4, 0x13b12526, 0xd1d1591a,
+    0x13a814a2, 0xd1da0d28, 0x139f05d3, 0xd1e2c2fd,
+    0x1395f8ba, 0xd1eb7a9a, 0x138ced57, 0xd1f433fd,
+    0x1383e3ab, 0xd1fcef27, 0x137adbb6, 0xd205ac17,
+    0x1371d579, 0xd20e6acc, 0x1368d0f3, 0xd2172b48,
+    0x135fce26, 0xd21fed88, 0x1356cd11, 0xd228b18d,
+    0x134dcdb4, 0xd2317756, 0x1344d011, 0xd23a3ee4,
+    0x133bd427, 0xd2430835, 0x1332d9f7, 0xd24bd34a,
+    0x1329e181, 0xd254a021, 0x1320eac6, 0xd25d6ebc,
+    0x1317f5c6, 0xd2663f19, 0x130f0280, 0xd26f1138,
+    0x130610f7, 0xd277e518, 0x12fd2129, 0xd280babb,
+    0x12f43318, 0xd289921e, 0x12eb46c3, 0xd2926b41,
+    0x12e25c2b, 0xd29b4626, 0x12d97350, 0xd2a422ca,
+    0x12d08c33, 0xd2ad012e, 0x12c7a6d4, 0xd2b5e151,
+    0x12bec333, 0xd2bec333, 0x12b5e151, 0xd2c7a6d4,
+    0x12ad012e, 0xd2d08c33, 0x12a422ca, 0xd2d97350,
+    0x129b4626, 0xd2e25c2b, 0x12926b41, 0xd2eb46c3,
+    0x1289921e, 0xd2f43318, 0x1280babb, 0xd2fd2129,
+    0x1277e518, 0xd30610f7, 0x126f1138, 0xd30f0280,
+    0x12663f19, 0xd317f5c6, 0x125d6ebc, 0xd320eac6,
+    0x1254a021, 0xd329e181, 0x124bd34a, 0xd332d9f7,
+    0x12430835, 0xd33bd427, 0x123a3ee4, 0xd344d011,
+    0x12317756, 0xd34dcdb4, 0x1228b18d, 0xd356cd11,
+    0x121fed88, 0xd35fce26, 0x12172b48, 0xd368d0f3,
+    0x120e6acc, 0xd371d579, 0x1205ac17, 0xd37adbb6,
+    0x11fcef27, 0xd383e3ab, 0x11f433fd, 0xd38ced57,
+    0x11eb7a9a, 0xd395f8ba, 0x11e2c2fd, 0xd39f05d3,
+    0x11da0d28, 0xd3a814a2, 0x11d1591a, 0xd3b12526,
+    0x11c8a6d4, 0xd3ba3760, 0x11bff656, 0xd3c34b4f,
+    0x11b747a0, 0xd3cc60f2, 0x11ae9ab4, 0xd3d5784a,
+    0x11a5ef90, 0xd3de9156, 0x119d4636, 0xd3e7ac15,
+    0x11949ea6, 0xd3f0c887, 0x118bf8e0, 0xd3f9e6ad,
+    0x118354e4, 0xd4030684, 0x117ab2b3, 0xd40c280e,
+    0x1172124d, 0xd4154b4a, 0x116973b3, 0xd41e7037,
+    0x1160d6e5, 0xd42796d5, 0x11583be2, 0xd430bf24,
+    0x114fa2ad, 0xd439e923, 0x11470b44, 0xd44314d3,
+    0x113e75a8, 0xd44c4232, 0x1135e1d9, 0xd4557140,
+    0x112d4fd9, 0xd45ea1fd, 0x1124bfa6, 0xd467d469,
+    0x111c3142, 0xd4710883, 0x1113a4ad, 0xd47a3e4b,
+    0x110b19e7, 0xd48375c1, 0x110290f0, 0xd48caee4,
+    0x10fa09c9, 0xd495e9b3, 0x10f18472, 0xd49f2630,
+    0x10e900ec, 0xd4a86458, 0x10e07f36, 0xd4b1a42c,
+    0x10d7ff51, 0xd4bae5ab, 0x10cf813e, 0xd4c428d6,
+    0x10c704fd, 0xd4cd6dab, 0x10be8a8d, 0xd4d6b42b,
+    0x10b611f1, 0xd4dffc54, 0x10ad9b26, 0xd4e94627,
+    0x10a5262f, 0xd4f291a4, 0x109cb30b, 0xd4fbdec9,
+    0x109441bb, 0xd5052d97, 0x108bd23f, 0xd50e7e0d,
+    0x10836497, 0xd517d02b, 0x107af8c4, 0xd52123f0,
+    0x10728ec6, 0xd52a795d, 0x106a269d, 0xd533d070,
+    0x1061c04a, 0xd53d292a, 0x10595bcd, 0xd5468389,
+    0x1050f926, 0xd54fdf8f, 0x10489856, 0xd5593d3a,
+    0x1040395d, 0xd5629c89, 0x1037dc3b, 0xd56bfd7d,
+    0x102f80f1, 0xd5756016, 0x1027277e, 0xd57ec452,
+    0x101ecfe4, 0xd5882a32, 0x10167a22, 0xd59191b5,
+    0x100e2639, 0xd59afadb, 0x1005d42a, 0xd5a465a3,
+    0xffd83f4, 0xd5add20d, 0xff53597, 0xd5b74019,
+    0xfece915, 0xd5c0afc6, 0xfe49e6d, 0xd5ca2115,
+    0xfdc55a1, 0xd5d39403, 0xfd40eaf, 0xd5dd0892,
+    0xfcbc999, 0xd5e67ec1, 0xfc3865e, 0xd5eff690,
+    0xfbb4500, 0xd5f96ffd, 0xfb3057d, 0xd602eb0a,
+    0xfaac7d8, 0xd60c67b4, 0xfa28c10, 0xd615e5fd,
+    0xf9a5225, 0xd61f65e4, 0xf921a17, 0xd628e767,
+    0xf89e3e8, 0xd6326a88, 0xf81af97, 0xd63bef46,
+    0xf797d24, 0xd645759f, 0xf714c91, 0xd64efd94,
+    0xf691ddd, 0xd6588725, 0xf60f108, 0xd6621251,
+    0xf58c613, 0xd66b9f18, 0xf509cfe, 0xd6752d79,
+    0xf4875ca, 0xd67ebd74, 0xf405077, 0xd6884f09,
+    0xf382d05, 0xd691e237, 0xf300b74, 0xd69b76fe,
+    0xf27ebc5, 0xd6a50d5d, 0xf1fcdf8, 0xd6aea555,
+    0xf17b20d, 0xd6b83ee4, 0xf0f9805, 0xd6c1da0b,
+    0xf077fe1, 0xd6cb76c9, 0xeff699f, 0xd6d5151d,
+    0xef75541, 0xd6deb508, 0xeef42c7, 0xd6e85689,
+    0xee73231, 0xd6f1f99f, 0xedf2380, 0xd6fb9e4b,
+    0xed716b4, 0xd705448b, 0xecf0bcd, 0xd70eec60,
+    0xec702cb, 0xd71895c9, 0xebefbb0, 0xd72240c5,
+    0xeb6f67a, 0xd72bed55, 0xeaef32b, 0xd7359b78,
+    0xea6f1c2, 0xd73f4b2e, 0xe9ef241, 0xd748fc75,
+    0xe96f4a7, 0xd752af4f, 0xe8ef8f4, 0xd75c63ba,
+    0xe86ff2a, 0xd76619b6, 0xe7f0748, 0xd76fd143,
+    0xe77114e, 0xd7798a60, 0xe6f1d3d, 0xd783450d,
+    0xe672b16, 0xd78d014a, 0xe5f3ad8, 0xd796bf16,
+    0xe574c84, 0xd7a07e70, 0xe4f6019, 0xd7aa3f5a,
+    0xe47759a, 0xd7b401d1, 0xe3f8d05, 0xd7bdc5d6,
+    0xe37a65b, 0xd7c78b68, 0xe2fc19c, 0xd7d15288,
+    0xe27dec9, 0xd7db1b34, 0xe1ffde2, 0xd7e4e56c,
+    0xe181ee8, 0xd7eeb130, 0xe1041d9, 0xd7f87e7f,
+    0xe0866b8, 0xd8024d59, 0xe008d84, 0xd80c1dbf,
+    0xdf8b63d, 0xd815efae, 0xdf0e0e4, 0xd81fc328,
+    0xde90d79, 0xd829982b, 0xde13bfd, 0xd8336eb7,
+    0xdd96c6f, 0xd83d46cc, 0xdd19ed0, 0xd8472069,
+    0xdc9d320, 0xd850fb8e, 0xdc20960, 0xd85ad83c,
+    0xdba4190, 0xd864b670, 0xdb27bb0, 0xd86e962b,
+    0xdaab7c0, 0xd878776d, 0xda2f5c2, 0xd8825a35,
+    0xd9b35b4, 0xd88c3e83, 0xd937798, 0xd8962456,
+    0xd8bbb6d, 0xd8a00bae, 0xd840134, 0xd8a9f48a,
+    0xd7c48ee, 0xd8b3deeb, 0xd74929a, 0xd8bdcad0,
+    0xd6cde39, 0xd8c7b838, 0xd652bcb, 0xd8d1a724,
+    0xd5d7b50, 0xd8db9792, 0xd55ccca, 0xd8e58982,
+    0xd4e2037, 0xd8ef7cf4, 0xd467599, 0xd8f971e8,
+    0xd3eccef, 0xd903685d, 0xd37263a, 0xd90d6053,
+    0xd2f817b, 0xd91759c9, 0xd27deb0, 0xd92154bf,
+    0xd203ddc, 0xd92b5135, 0xd189efe, 0xd9354f2a,
+    0xd110216, 0xd93f4e9e, 0xd096725, 0xd9494f90,
+    0xd01ce2b, 0xd9535201, 0xcfa3729, 0xd95d55ef,
+    0xcf2a21d, 0xd9675b5a, 0xceb0f0a, 0xd9716243,
+    0xce37def, 0xd97b6aa8, 0xcdbeecc, 0xd9857489,
+    0xcd461a2, 0xd98f7fe6, 0xcccd671, 0xd9998cbe,
+    0xcc54d3a, 0xd9a39b11, 0xcbdc5fc, 0xd9adaadf,
+    0xcb640b8, 0xd9b7bc27, 0xcaebd6e, 0xd9c1cee9,
+    0xca73c1e, 0xd9cbe325, 0xc9fbcca, 0xd9d5f8d9,
+    0xc983f70, 0xd9e01006, 0xc90c412, 0xd9ea28ac,
+    0xc894aaf, 0xd9f442c9, 0xc81d349, 0xd9fe5e5e,
+    0xc7a5dde, 0xda087b69, 0xc72ea70, 0xda1299ec,
+    0xc6b78ff, 0xda1cb9e5, 0xc64098b, 0xda26db54,
+    0xc5c9c14, 0xda30fe38, 0xc55309b, 0xda3b2292,
+    0xc4dc720, 0xda454860, 0xc465fa3, 0xda4f6fa3,
+    0xc3efa25, 0xda599859, 0xc3796a5, 0xda63c284,
+    0xc303524, 0xda6dee21, 0xc28d5a3, 0xda781b31,
+    0xc217822, 0xda8249b4, 0xc1a1ca0, 0xda8c79a9,
+    0xc12c31f, 0xda96ab0f, 0xc0b6b9e, 0xdaa0dde7,
+    0xc04161e, 0xdaab122f, 0xbfcc29f, 0xdab547e8,
+    0xbf57121, 0xdabf7f11, 0xbee21a5, 0xdac9b7a9,
+    0xbe6d42b, 0xdad3f1b1, 0xbdf88b3, 0xdade2d28,
+    0xbd83f3d, 0xdae86a0d, 0xbd0f7ca, 0xdaf2a860,
+    0xbc9b25a, 0xdafce821, 0xbc26eee, 0xdb072950,
+    0xbbb2d85, 0xdb116beb, 0xbb3ee20, 0xdb1baff2,
+    0xbacb0bf, 0xdb25f566, 0xba57563, 0xdb303c46,
+    0xb9e3c0b, 0xdb3a8491, 0xb9704b9, 0xdb44ce46,
+    0xb8fcf6b, 0xdb4f1967, 0xb889c23, 0xdb5965f1,
+    0xb816ae1, 0xdb63b3e5, 0xb7a3ba5, 0xdb6e0342,
+    0xb730e70, 0xdb785409, 0xb6be341, 0xdb82a638,
+    0xb64ba19, 0xdb8cf9cf, 0xb5d92f8, 0xdb974ece,
+    0xb566ddf, 0xdba1a534, 0xb4f4acd, 0xdbabfd01,
+    0xb4829c4, 0xdbb65634, 0xb410ac3, 0xdbc0b0ce,
+    0xb39edca, 0xdbcb0cce, 0xb32d2da, 0xdbd56a32,
+    0xb2bb9f4, 0xdbdfc8fc, 0xb24a316, 0xdbea292b,
+    0xb1d8e43, 0xdbf48abd, 0xb167b79, 0xdbfeedb3,
+    0xb0f6aba, 0xdc09520d, 0xb085c05, 0xdc13b7c9,
+    0xb014f5b, 0xdc1e1ee9, 0xafa44bc, 0xdc28876a,
+    0xaf33c28, 0xdc32f14d, 0xaec35a0, 0xdc3d5c91,
+    0xae53123, 0xdc47c936, 0xade2eb3, 0xdc52373c,
+    0xad72e4f, 0xdc5ca6a2, 0xad02ff8, 0xdc671768,
+    0xac933ae, 0xdc71898d, 0xac23971, 0xdc7bfd11,
+    0xabb4141, 0xdc8671f3, 0xab44b1f, 0xdc90e834,
+    0xaad570c, 0xdc9b5fd2, 0xaa66506, 0xdca5d8cd,
+    0xa9f750f, 0xdcb05326, 0xa988727, 0xdcbacedb,
+    0xa919b4e, 0xdcc54bec, 0xa8ab184, 0xdccfca59,
+    0xa83c9ca, 0xdcda4a21, 0xa7ce420, 0xdce4cb44,
+    0xa760086, 0xdcef4dc2, 0xa6f1efc, 0xdcf9d199,
+    0xa683f83, 0xdd0456ca, 0xa61621b, 0xdd0edd55,
+    0xa5a86c4, 0xdd196538, 0xa53ad7e, 0xdd23ee74,
+    0xa4cd64b, 0xdd2e7908, 0xa460129, 0xdd3904f4,
+    0xa3f2e19, 0xdd439236, 0xa385d1d, 0xdd4e20d0,
+    0xa318e32, 0xdd58b0c0, 0xa2ac15b, 0xdd634206,
+    0xa23f698, 0xdd6dd4a2, 0xa1d2de7, 0xdd786892,
+    0xa16674b, 0xdd82fdd8, 0xa0fa2c3, 0xdd8d9472,
+    0xa08e04f, 0xdd982c60, 0xa021fef, 0xdda2c5a2,
+    0x9fb61a5, 0xddad6036, 0x9f4a570, 0xddb7fc1e,
+    0x9edeb50, 0xddc29958, 0x9e73346, 0xddcd37e4,
+    0x9e07d51, 0xddd7d7c1, 0x9d9c973, 0xdde278ef,
+    0x9d317ab, 0xdded1b6e, 0x9cc67fa, 0xddf7bf3e,
+    0x9c5ba60, 0xde02645d, 0x9bf0edd, 0xde0d0acc,
+    0x9b86572, 0xde17b28a, 0x9b1be1e, 0xde225b96,
+    0x9ab18e3, 0xde2d05f1, 0x9a475bf, 0xde37b199,
+    0x99dd4b4, 0xde425e8f, 0x99735c2, 0xde4d0cd2,
+    0x99098e9, 0xde57bc62, 0x989fe29, 0xde626d3e,
+    0x9836582, 0xde6d1f65, 0x97ccef5, 0xde77d2d8,
+    0x9763a83, 0xde828796, 0x96fa82a, 0xde8d3d9e,
+    0x96917ec, 0xde97f4f1, 0x96289c9, 0xdea2ad8d,
+    0x95bfdc1, 0xdead6773, 0x95573d4, 0xdeb822a1,
+    0x94eec03, 0xdec2df18, 0x948664d, 0xdecd9cd7,
+    0x941e2b4, 0xded85bdd, 0x93b6137, 0xdee31c2b,
+    0x934e1d6, 0xdeedddc0, 0x92e6492, 0xdef8a09b,
+    0x927e96b, 0xdf0364bc, 0x9217062, 0xdf0e2a22,
+    0x91af976, 0xdf18f0ce, 0x91484a8, 0xdf23b8be,
+    0x90e11f7, 0xdf2e81f3, 0x907a166, 0xdf394c6b,
+    0x90132f2, 0xdf441828, 0x8fac69e, 0xdf4ee527,
+    0x8f45c68, 0xdf59b369, 0x8edf452, 0xdf6482ed,
+    0x8e78e5b, 0xdf6f53b3, 0x8e12a84, 0xdf7a25ba,
+    0x8dac8cd, 0xdf84f902, 0x8d46936, 0xdf8fcd8b,
+    0x8ce0bc0, 0xdf9aa354, 0x8c7b06b, 0xdfa57a5d,
+    0x8c15736, 0xdfb052a5, 0x8bb0023, 0xdfbb2c2c,
+    0x8b4ab32, 0xdfc606f1, 0x8ae5862, 0xdfd0e2f5,
+    0x8a807b4, 0xdfdbc036, 0x8a1b928, 0xdfe69eb4,
+    0x89b6cbf, 0xdff17e70, 0x8952278, 0xdffc5f67,
+    0x88eda54, 0xe007419b, 0x8889454, 0xe012250a,
+    0x8825077, 0xe01d09b4, 0x87c0ebd, 0xe027ef99,
+    0x875cf28, 0xe032d6b8, 0x86f91b7, 0xe03dbf11,
+    0x869566a, 0xe048a8a4, 0x8631d42, 0xe053936f,
+    0x85ce63e, 0xe05e7f74, 0x856b160, 0xe0696cb0,
+    0x8507ea7, 0xe0745b24, 0x84a4e14, 0xe07f4acf,
+    0x8441fa6, 0xe08a3bb2, 0x83df35f, 0xe0952dcb,
+    0x837c93e, 0xe0a0211a, 0x831a143, 0xe0ab159e,
+    0x82b7b70, 0xe0b60b58, 0x82557c3, 0xe0c10247,
+    0x81f363d, 0xe0cbfa6a, 0x81916df, 0xe0d6f3c1,
+    0x812f9a9, 0xe0e1ee4b, 0x80cde9b, 0xe0ecea09,
+    0x806c5b5, 0xe0f7e6f9, 0x800aef7, 0xe102e51c,
+    0x7fa9a62, 0xe10de470, 0x7f487f6, 0xe118e4f6,
+    0x7ee77b3, 0xe123e6ad, 0x7e8699a, 0xe12ee995,
+    0x7e25daa, 0xe139edac, 0x7dc53e3, 0xe144f2f3,
+    0x7d64c47, 0xe14ff96a, 0x7d046d6, 0xe15b0110,
+    0x7ca438f, 0xe16609e3, 0x7c44272, 0xe17113e5,
+    0x7be4381, 0xe17c1f15, 0x7b846ba, 0xe1872b72,
+    0x7b24c20, 0xe19238fb, 0x7ac53b1, 0xe19d47b1,
+    0x7a65d6e, 0xe1a85793, 0x7a06957, 0xe1b368a0,
+    0x79a776c, 0xe1be7ad8, 0x79487ae, 0xe1c98e3b,
+    0x78e9a1d, 0xe1d4a2c8, 0x788aeb9, 0xe1dfb87f,
+    0x782c582, 0xe1eacf5f, 0x77cde79, 0xe1f5e768,
+    0x776f99d, 0xe2010099, 0x77116f0, 0xe20c1af3,
+    0x76b3671, 0xe2173674, 0x7655820, 0xe222531c,
+    0x75f7bfe, 0xe22d70eb, 0x759a20a, 0xe2388fe1,
+    0x753ca46, 0xe243affc, 0x74df4b1, 0xe24ed13d,
+    0x748214c, 0xe259f3a3, 0x7425016, 0xe265172e,
+    0x73c8111, 0xe2703bdc, 0x736b43c, 0xe27b61af,
+    0x730e997, 0xe28688a4, 0x72b2123, 0xe291b0bd,
+    0x7255ae0, 0xe29cd9f8, 0x71f96ce, 0xe2a80456,
+    0x719d4ed, 0xe2b32fd4, 0x714153e, 0xe2be5c74,
+    0x70e57c0, 0xe2c98a35, 0x7089c75, 0xe2d4b916,
+    0x702e35c, 0xe2dfe917, 0x6fd2c75, 0xe2eb1a37,
+    0x6f777c1, 0xe2f64c77, 0x6f1c540, 0xe3017fd5,
+    0x6ec14f2, 0xe30cb451, 0x6e666d7, 0xe317e9eb,
+    0x6e0baf0, 0xe32320a2, 0x6db113d, 0xe32e5876,
+    0x6d569be, 0xe3399167, 0x6cfc472, 0xe344cb73,
+    0x6ca215c, 0xe350069b, 0x6c4807a, 0xe35b42df,
+    0x6bee1cd, 0xe366803c, 0x6b94554, 0xe371beb5,
+    0x6b3ab12, 0xe37cfe47, 0x6ae1304, 0xe3883ef2,
+    0x6a87d2d, 0xe39380b6, 0x6a2e98b, 0xe39ec393,
+    0x69d5820, 0xe3aa0788, 0x697c8eb, 0xe3b54c95,
+    0x6923bec, 0xe3c092b9, 0x68cb124, 0xe3cbd9f4,
+    0x6872894, 0xe3d72245, 0x681a23a, 0xe3e26bac,
+    0x67c1e18, 0xe3edb628, 0x6769c2e, 0xe3f901ba,
+    0x6711c7b, 0xe4044e60, 0x66b9f01, 0xe40f9c1a,
+    0x66623be, 0xe41aeae8, 0x660aab5, 0xe4263ac9,
+    0x65b33e4, 0xe4318bbe, 0x655bf4c, 0xe43cddc4,
+    0x6504ced, 0xe44830dd, 0x64adcc7, 0xe4538507,
+    0x6456edb, 0xe45eda43, 0x6400329, 0xe46a308f,
+    0x63a99b1, 0xe47587eb, 0x6353273, 0xe480e057,
+    0x62fcd6f, 0xe48c39d3, 0x62a6aa6, 0xe497945d,
+    0x6250a18, 0xe4a2eff6, 0x61fabc4, 0xe4ae4c9d,
+    0x61a4fac, 0xe4b9aa52, 0x614f5cf, 0xe4c50914,
+    0x60f9e2e, 0xe4d068e2, 0x60a48c9, 0xe4dbc9bd,
+    0x604f5a0, 0xe4e72ba4, 0x5ffa4b3, 0xe4f28e96,
+    0x5fa5603, 0xe4fdf294, 0x5f5098f, 0xe509579b,
+    0x5efbf58, 0xe514bdad, 0x5ea775e, 0xe52024c9,
+    0x5e531a1, 0xe52b8cee, 0x5dfee22, 0xe536f61b,
+    0x5daace1, 0xe5426051, 0x5d56ddd, 0xe54dcb8f,
+    0x5d03118, 0xe55937d5, 0x5caf690, 0xe564a521,
+    0x5c5be47, 0xe5701374, 0x5c0883d, 0xe57b82cd,
+    0x5bb5472, 0xe586f32c, 0x5b622e6, 0xe5926490,
+    0x5b0f399, 0xe59dd6f9, 0x5abc68c, 0xe5a94a67,
+    0x5a69bbe, 0xe5b4bed8, 0x5a17330, 0xe5c0344d,
+    0x59c4ce3, 0xe5cbaac5, 0x59728d5, 0xe5d72240,
+    0x5920708, 0xe5e29abc, 0x58ce77c, 0xe5ee143b,
+    0x587ca31, 0xe5f98ebb, 0x582af26, 0xe6050a3b,
+    0x57d965d, 0xe61086bc, 0x5787fd6, 0xe61c043d,
+    0x5736b90, 0xe62782be, 0x56e598c, 0xe633023e,
+    0x56949ca, 0xe63e82bc, 0x5643c4a, 0xe64a0438,
+    0x55f310d, 0xe65586b3, 0x55a2812, 0xe6610a2a,
+    0x555215a, 0xe66c8e9f, 0x5501ce5, 0xe6781410,
+    0x54b1ab4, 0xe6839a7c, 0x5461ac6, 0xe68f21e5,
+    0x5411d1b, 0xe69aaa48, 0x53c21b4, 0xe6a633a6,
+    0x5372891, 0xe6b1bdff, 0x53231b3, 0xe6bd4951,
+    0x52d3d18, 0xe6c8d59c, 0x5284ac3, 0xe6d462e1,
+    0x5235ab2, 0xe6dff11d, 0x51e6ce6, 0xe6eb8052,
+    0x519815f, 0xe6f7107e, 0x514981d, 0xe702a1a1,
+    0x50fb121, 0xe70e33bb, 0x50acc6b, 0xe719c6cb,
+    0x505e9fb, 0xe7255ad1, 0x50109d0, 0xe730efcc,
+    0x4fc2bec, 0xe73c85bc, 0x4f7504e, 0xe7481ca1,
+    0x4f276f7, 0xe753b479, 0x4ed9fe7, 0xe75f4d45,
+    0x4e8cb1e, 0xe76ae704, 0x4e3f89c, 0xe77681b6,
+    0x4df2862, 0xe7821d59, 0x4da5a6f, 0xe78db9ef,
+    0x4d58ec3, 0xe7995776, 0x4d0c560, 0xe7a4f5ed,
+    0x4cbfe45, 0xe7b09555, 0x4c73972, 0xe7bc35ad,
+    0x4c276e8, 0xe7c7d6f4, 0x4bdb6a6, 0xe7d3792b,
+    0x4b8f8ad, 0xe7df1c50, 0x4b43cfd, 0xe7eac063,
+    0x4af8397, 0xe7f66564, 0x4aacc7a, 0xe8020b52,
+    0x4a617a6, 0xe80db22d, 0x4a1651c, 0xe81959f4,
+    0x49cb4dd, 0xe82502a7, 0x49806e7, 0xe830ac45,
+    0x4935b3c, 0xe83c56cf, 0x48eb1db, 0xe8480243,
+    0x48a0ac4, 0xe853aea1, 0x48565f9, 0xe85f5be9,
+    0x480c379, 0xe86b0a1a, 0x47c2344, 0xe876b934,
+    0x477855a, 0xe8826936, 0x472e9bc, 0xe88e1a20,
+    0x46e5069, 0xe899cbf1, 0x469b963, 0xe8a57ea9,
+    0x46524a9, 0xe8b13248, 0x460923b, 0xe8bce6cd,
+    0x45c0219, 0xe8c89c37, 0x4577444, 0xe8d45286,
+    0x452e8bc, 0xe8e009ba, 0x44e5f80, 0xe8ebc1d3,
+    0x449d892, 0xe8f77acf, 0x44553f2, 0xe90334af,
+    0x440d19e, 0xe90eef71, 0x43c5199, 0xe91aab16,
+    0x437d3e1, 0xe926679c, 0x4335877, 0xe9322505,
+    0x42edf5c, 0xe93de34e, 0x42a688f, 0xe949a278,
+    0x425f410, 0xe9556282, 0x42181e0, 0xe961236c,
+    0x41d11ff, 0xe96ce535, 0x418a46d, 0xe978a7dd,
+    0x414392b, 0xe9846b63, 0x40fd037, 0xe9902fc7,
+    0x40b6994, 0xe99bf509, 0x4070540, 0xe9a7bb28,
+    0x402a33c, 0xe9b38223, 0x3fe4388, 0xe9bf49fa,
+    0x3f9e624, 0xe9cb12ad, 0x3f58b10, 0xe9d6dc3b,
+    0x3f1324e, 0xe9e2a6a3, 0x3ecdbdc, 0xe9ee71e6,
+    0x3e887bb, 0xe9fa3e03, 0x3e435ea, 0xea060af9,
+    0x3dfe66c, 0xea11d8c8, 0x3db993e, 0xea1da770,
+    0x3d74e62, 0xea2976ef, 0x3d305d8, 0xea354746,
+    0x3cebfa0, 0xea411874, 0x3ca7bba, 0xea4cea79,
+    0x3c63a26, 0xea58bd54, 0x3c1fae5, 0xea649105,
+    0x3bdbdf6, 0xea70658a, 0x3b9835a, 0xea7c3ae5,
+    0x3b54b11, 0xea881114, 0x3b1151b, 0xea93e817,
+    0x3ace178, 0xea9fbfed, 0x3a8b028, 0xeaab9896,
+    0x3a4812c, 0xeab77212, 0x3a05484, 0xeac34c60,
+    0x39c2a2f, 0xeacf277f, 0x398022f, 0xeadb0370,
+    0x393dc82, 0xeae6e031, 0x38fb92a, 0xeaf2bdc3,
+    0x38b9827, 0xeafe9c24, 0x3877978, 0xeb0a7b54,
+    0x3835d1e, 0xeb165b54, 0x37f4319, 0xeb223c22,
+    0x37b2b6a, 0xeb2e1dbe, 0x377160f, 0xeb3a0027,
+    0x373030a, 0xeb45e35d, 0x36ef25b, 0xeb51c760,
+    0x36ae401, 0xeb5dac2f, 0x366d7fd, 0xeb6991ca,
+    0x362ce50, 0xeb75782f, 0x35ec6f8, 0xeb815f60,
+    0x35ac1f7, 0xeb8d475b, 0x356bf4d, 0xeb99301f,
+    0x352bef9, 0xeba519ad, 0x34ec0fc, 0xebb10404,
+    0x34ac556, 0xebbcef23, 0x346cc07, 0xebc8db0b,
+    0x342d510, 0xebd4c7ba, 0x33ee070, 0xebe0b52f,
+    0x33aee27, 0xebeca36c, 0x336fe37, 0xebf8926f,
+    0x333109e, 0xec048237, 0x32f255e, 0xec1072c4,
+    0x32b3c75, 0xec1c6417, 0x32755e5, 0xec28562d,
+    0x32371ae, 0xec344908, 0x31f8fcf, 0xec403ca5,
+    0x31bb049, 0xec4c3106, 0x317d31c, 0xec582629,
+    0x313f848, 0xec641c0e, 0x3101fce, 0xec7012b5,
+    0x30c49ad, 0xec7c0a1d, 0x30875e5, 0xec880245,
+    0x304a477, 0xec93fb2e, 0x300d563, 0xec9ff4d6,
+    0x2fd08a9, 0xecabef3d, 0x2f93e4a, 0xecb7ea63,
+    0x2f57644, 0xecc3e648, 0x2f1b099, 0xeccfe2ea,
+    0x2eded49, 0xecdbe04a, 0x2ea2c53, 0xece7de66,
+    0x2e66db8, 0xecf3dd3f, 0x2e2b178, 0xecffdcd4,
+    0x2def794, 0xed0bdd25, 0x2db400a, 0xed17de31,
+    0x2d78add, 0xed23dff7, 0x2d3d80a, 0xed2fe277,
+    0x2d02794, 0xed3be5b1, 0x2cc7979, 0xed47e9a5,
+    0x2c8cdbb, 0xed53ee51, 0x2c52459, 0xed5ff3b5,
+    0x2c17d52, 0xed6bf9d1, 0x2bdd8a9, 0xed7800a5,
+    0x2ba365c, 0xed84082f, 0x2b6966c, 0xed901070,
+    0x2b2f8d8, 0xed9c1967, 0x2af5da2, 0xeda82313,
+    0x2abc4c9, 0xedb42d74, 0x2a82e4d, 0xedc0388a,
+    0x2a49a2e, 0xedcc4454, 0x2a1086d, 0xedd850d2,
+    0x29d790a, 0xede45e03, 0x299ec05, 0xedf06be6,
+    0x296615d, 0xedfc7a7c, 0x292d914, 0xee0889c4,
+    0x28f5329, 0xee1499bd, 0x28bcf9c, 0xee20aa67,
+    0x2884e6e, 0xee2cbbc1, 0x284cf9f, 0xee38cdcb,
+    0x281532e, 0xee44e084, 0x27dd91c, 0xee50f3ed,
+    0x27a616a, 0xee5d0804, 0x276ec16, 0xee691cc9,
+    0x2737922, 0xee75323c, 0x270088e, 0xee81485c,
+    0x26c9a58, 0xee8d5f29, 0x2692e83, 0xee9976a1,
+    0x265c50e, 0xeea58ec6, 0x2625df8, 0xeeb1a796,
+    0x25ef943, 0xeebdc110, 0x25b96ee, 0xeec9db35,
+    0x25836f9, 0xeed5f604, 0x254d965, 0xeee2117c,
+    0x2517e31, 0xeeee2d9d, 0x24e255e, 0xeefa4a67,
+    0x24aceed, 0xef0667d9, 0x2477adc, 0xef1285f2,
+    0x244292c, 0xef1ea4b2, 0x240d9de, 0xef2ac419,
+    0x23d8cf1, 0xef36e426, 0x23a4265, 0xef4304d8,
+    0x236fa3b, 0xef4f2630, 0x233b473, 0xef5b482d,
+    0x230710d, 0xef676ace, 0x22d3009, 0xef738e12,
+    0x229f167, 0xef7fb1fa, 0x226b528, 0xef8bd685,
+    0x2237b4b, 0xef97fbb2, 0x22043d0, 0xefa42181,
+    0x21d0eb8, 0xefb047f2, 0x219dc03, 0xefbc6f03,
+    0x216abb1, 0xefc896b5, 0x2137dc2, 0xefd4bf08,
+    0x2105236, 0xefe0e7f9, 0x20d290d, 0xefed118a,
+    0x20a0248, 0xeff93bba, 0x206dde6, 0xf0056687,
+    0x203bbe8, 0xf01191f3, 0x2009c4e, 0xf01dbdfb,
+    0x1fd7f17, 0xf029eaa1, 0x1fa6445, 0xf03617e2,
+    0x1f74bd6, 0xf04245c0, 0x1f435cc, 0xf04e7438,
+    0x1f12227, 0xf05aa34c, 0x1ee10e5, 0xf066d2fa,
+    0x1eb0209, 0xf0730342, 0x1e7f591, 0xf07f3424,
+    0x1e4eb7e, 0xf08b659f, 0x1e1e3d0, 0xf09797b2,
+    0x1dede87, 0xf0a3ca5d, 0x1dbdba3, 0xf0affda0,
+    0x1d8db25, 0xf0bc317a, 0x1d5dd0c, 0xf0c865ea,
+    0x1d2e158, 0xf0d49af1, 0x1cfe80a, 0xf0e0d08d,
+    0x1ccf122, 0xf0ed06bf, 0x1c9fca0, 0xf0f93d86,
+    0x1c70a84, 0xf10574e0, 0x1c41ace, 0xf111accf,
+    0x1c12d7e, 0xf11de551, 0x1be4294, 0xf12a1e66,
+    0x1bb5a11, 0xf136580d, 0x1b873f5, 0xf1429247,
+    0x1b5903f, 0xf14ecd11, 0x1b2aef0, 0xf15b086d,
+    0x1afd007, 0xf1674459, 0x1acf386, 0xf17380d6,
+    0x1aa196c, 0xf17fbde2, 0x1a741b9, 0xf18bfb7d,
+    0x1a46c6e, 0xf19839a6, 0x1a1998a, 0xf1a4785e,
+    0x19ec90d, 0xf1b0b7a4, 0x19bfaf9, 0xf1bcf777,
+    0x1992f4c, 0xf1c937d6, 0x1966606, 0xf1d578c2,
+    0x1939f29, 0xf1e1ba3a, 0x190dab4, 0xf1edfc3d,
+    0x18e18a7, 0xf1fa3ecb, 0x18b5903, 0xf20681e3,
+    0x1889bc6, 0xf212c585, 0x185e0f3, 0xf21f09b1,
+    0x1832888, 0xf22b4e66, 0x1807285, 0xf23793a3,
+    0x17dbeec, 0xf243d968, 0x17b0dbb, 0xf2501fb5,
+    0x1785ef4, 0xf25c6688, 0x175b296, 0xf268ade3,
+    0x17308a1, 0xf274f5c3, 0x1706115, 0xf2813e2a,
+    0x16dbbf3, 0xf28d8715, 0x16b193a, 0xf299d085,
+    0x16878eb, 0xf2a61a7a, 0x165db05, 0xf2b264f2,
+    0x1633f8a, 0xf2beafed, 0x160a678, 0xf2cafb6b,
+    0x15e0fd1, 0xf2d7476c, 0x15b7b94, 0xf2e393ef,
+    0x158e9c1, 0xf2efe0f2, 0x1565a58, 0xf2fc2e77,
+    0x153cd5a, 0xf3087c7d, 0x15142c6, 0xf314cb02,
+    0x14eba9d, 0xf3211a07, 0x14c34df, 0xf32d698a,
+    0x149b18b, 0xf339b98d, 0x14730a3, 0xf3460a0d,
+    0x144b225, 0xf3525b0b, 0x1423613, 0xf35eac86,
+    0x13fbc6c, 0xf36afe7e, 0x13d4530, 0xf37750f2,
+    0x13ad060, 0xf383a3e2, 0x1385dfb, 0xf38ff74d,
+    0x135ee02, 0xf39c4b32, 0x1338075, 0xf3a89f92,
+    0x1311553, 0xf3b4f46c, 0x12eac9d, 0xf3c149bf,
+    0x12c4653, 0xf3cd9f8b, 0x129e276, 0xf3d9f5cf,
+    0x1278104, 0xf3e64c8c, 0x12521ff, 0xf3f2a3bf,
+    0x122c566, 0xf3fefb6a, 0x1206b39, 0xf40b538b,
+    0x11e1379, 0xf417ac22, 0x11bbe26, 0xf424052f,
+    0x1196b3f, 0xf4305eb0, 0x1171ac6, 0xf43cb8a7,
+    0x114ccb9, 0xf4491311, 0x1128119, 0xf4556def,
+    0x11037e6, 0xf461c940, 0x10df120, 0xf46e2504,
+    0x10bacc8, 0xf47a8139, 0x1096add, 0xf486dde1,
+    0x1072b5f, 0xf4933afa, 0x104ee4f, 0xf49f9884,
+    0x102b3ac, 0xf4abf67e, 0x1007b77, 0xf4b854e7,
+    0xfe45b0, 0xf4c4b3c0, 0xfc1257, 0xf4d11308,
+    0xf9e16b, 0xf4dd72be, 0xf7b2ee, 0xf4e9d2e3,
+    0xf586df, 0xf4f63374, 0xf35d3e, 0xf5029473,
+    0xf1360b, 0xf50ef5de, 0xef1147, 0xf51b57b5,
+    0xeceef1, 0xf527b9f7, 0xeacf09, 0xf5341ca5,
+    0xe8b190, 0xf5407fbd, 0xe69686, 0xf54ce33f,
+    0xe47deb, 0xf559472b, 0xe267be, 0xf565ab80,
+    0xe05401, 0xf572103d, 0xde42b2, 0xf57e7563,
+    0xdc33d2, 0xf58adaf0, 0xda2762, 0xf59740e5,
+    0xd81d61, 0xf5a3a740, 0xd615cf, 0xf5b00e02,
+    0xd410ad, 0xf5bc7529, 0xd20dfa, 0xf5c8dcb6,
+    0xd00db6, 0xf5d544a7, 0xce0fe3, 0xf5e1acfd,
+    0xcc147f, 0xf5ee15b7, 0xca1b8a, 0xf5fa7ed4,
+    0xc82506, 0xf606e854, 0xc630f2, 0xf6135237,
+    0xc43f4d, 0xf61fbc7b, 0xc25019, 0xf62c2721,
+    0xc06355, 0xf6389228, 0xbe7901, 0xf644fd8f,
+    0xbc911d, 0xf6516956, 0xbaabaa, 0xf65dd57d,
+    0xb8c8a7, 0xf66a4203, 0xb6e815, 0xf676aee8,
+    0xb509f3, 0xf6831c2b, 0xb32e42, 0xf68f89cb,
+    0xb15502, 0xf69bf7c9, 0xaf7e33, 0xf6a86623,
+    0xada9d4, 0xf6b4d4d9, 0xabd7e6, 0xf6c143ec,
+    0xaa086a, 0xf6cdb359, 0xa83b5e, 0xf6da2321,
+    0xa670c4, 0xf6e69344, 0xa4a89b, 0xf6f303c0,
+    0xa2e2e3, 0xf6ff7496, 0xa11f9d, 0xf70be5c4,
+    0x9f5ec8, 0xf718574b, 0x9da065, 0xf724c92a,
+    0x9be473, 0xf7313b60, 0x9a2af3, 0xf73daded,
+    0x9873e4, 0xf74a20d0, 0x96bf48, 0xf756940a,
+    0x950d1d, 0xf7630799, 0x935d64, 0xf76f7b7d,
+    0x91b01d, 0xf77befb5, 0x900548, 0xf7886442,
+    0x8e5ce5, 0xf794d922, 0x8cb6f5, 0xf7a14e55,
+    0x8b1376, 0xf7adc3db, 0x89726a, 0xf7ba39b3,
+    0x87d3d0, 0xf7c6afdc, 0x8637a9, 0xf7d32657,
+    0x849df4, 0xf7df9d22, 0x8306b2, 0xf7ec143e,
+    0x8171e2, 0xf7f88ba9, 0x7fdf85, 0xf8050364,
+    0x7e4f9b, 0xf8117b6d, 0x7cc223, 0xf81df3c5,
+    0x7b371e, 0xf82a6c6a, 0x79ae8c, 0xf836e55d,
+    0x78286e, 0xf8435e9d, 0x76a4c2, 0xf84fd829,
+    0x752389, 0xf85c5201, 0x73a4c3, 0xf868cc24,
+    0x722871, 0xf8754692, 0x70ae92, 0xf881c14b,
+    0x6f3726, 0xf88e3c4d, 0x6dc22e, 0xf89ab799,
+    0x6c4fa8, 0xf8a7332e, 0x6adf97, 0xf8b3af0c,
+    0x6971f9, 0xf8c02b31, 0x6806ce, 0xf8cca79e,
+    0x669e18, 0xf8d92452, 0x6537d4, 0xf8e5a14d,
+    0x63d405, 0xf8f21e8e, 0x6272aa, 0xf8fe9c15,
+    0x6113c2, 0xf90b19e0, 0x5fb74e, 0xf91797f0,
+    0x5e5d4e, 0xf9241645, 0x5d05c3, 0xf93094dd,
+    0x5bb0ab, 0xf93d13b8, 0x5a5e07, 0xf94992d7,
+    0x590dd8, 0xf9561237, 0x57c01d, 0xf96291d9,
+    0x5674d6, 0xf96f11bc, 0x552c03, 0xf97b91e1,
+    0x53e5a5, 0xf9881245, 0x52a1bb, 0xf99492ea,
+    0x516045, 0xf9a113cd, 0x502145, 0xf9ad94f0,
+    0x4ee4b8, 0xf9ba1651, 0x4daaa1, 0xf9c697f0,
+    0x4c72fe, 0xf9d319cc, 0x4b3dcf, 0xf9df9be6,
+    0x4a0b16, 0xf9ec1e3b, 0x48dad1, 0xf9f8a0cd,
+    0x47ad01, 0xfa05239a, 0x4681a6, 0xfa11a6a3,
+    0x4558c0, 0xfa1e29e5, 0x44324f, 0xfa2aad62,
+    0x430e53, 0xfa373119, 0x41eccc, 0xfa43b508,
+    0x40cdba, 0xfa503930, 0x3fb11d, 0xfa5cbd91,
+    0x3e96f6, 0xfa694229, 0x3d7f44, 0xfa75c6f8,
+    0x3c6a07, 0xfa824bfd, 0x3b573f, 0xfa8ed139,
+    0x3a46ed, 0xfa9b56ab, 0x393910, 0xfaa7dc52,
+    0x382da8, 0xfab4622d, 0x3724b6, 0xfac0e83d,
+    0x361e3a, 0xfacd6e81, 0x351a33, 0xfad9f4f8,
+    0x3418a2, 0xfae67ba2, 0x331986, 0xfaf3027e,
+    0x321ce0, 0xfaff898c, 0x3122b0, 0xfb0c10cb,
+    0x302af5, 0xfb18983b, 0x2f35b1, 0xfb251fdc,
+    0x2e42e2, 0xfb31a7ac, 0x2d5289, 0xfb3e2fac,
+    0x2c64a6, 0xfb4ab7db, 0x2b7939, 0xfb574039,
+    0x2a9042, 0xfb63c8c4, 0x29a9c1, 0xfb70517d,
+    0x28c5b6, 0xfb7cda63, 0x27e421, 0xfb896375,
+    0x270502, 0xfb95ecb4, 0x262859, 0xfba2761e,
+    0x254e27, 0xfbaeffb3, 0x24766a, 0xfbbb8973,
+    0x23a124, 0xfbc8135c, 0x22ce54, 0xfbd49d70,
+    0x21fdfb, 0xfbe127ac, 0x213018, 0xfbedb212,
+    0x2064ab, 0xfbfa3c9f, 0x1f9bb5, 0xfc06c754,
+    0x1ed535, 0xfc135231, 0x1e112b, 0xfc1fdd34,
+    0x1d4f99, 0xfc2c685d, 0x1c907c, 0xfc38f3ac,
+    0x1bd3d6, 0xfc457f21, 0x1b19a7, 0xfc520aba,
+    0x1a61ee, 0xfc5e9678, 0x19acac, 0xfc6b2259,
+    0x18f9e1, 0xfc77ae5e, 0x18498c, 0xfc843a85,
+    0x179bae, 0xfc90c6cf, 0x16f047, 0xfc9d533b,
+    0x164757, 0xfca9dfc8, 0x15a0dd, 0xfcb66c77,
+    0x14fcda, 0xfcc2f945, 0x145b4e, 0xfccf8634,
+    0x13bc39, 0xfcdc1342, 0x131f9b, 0xfce8a06f,
+    0x128574, 0xfcf52dbb, 0x11edc3, 0xfd01bb24,
+    0x11588a, 0xfd0e48ab, 0x10c5c7, 0xfd1ad650,
+    0x10357c, 0xfd276410, 0xfa7a8, 0xfd33f1ed,
+    0xf1c4a, 0xfd407fe6, 0xe9364, 0xfd4d0df9,
+    0xe0cf5, 0xfd599c28, 0xd88fd, 0xfd662a70,
+    0xd077c, 0xfd72b8d2, 0xc8872, 0xfd7f474d,
+    0xc0be0, 0xfd8bd5e1, 0xb91c4, 0xfd98648d,
+    0xb1a20, 0xfda4f351, 0xaa4f3, 0xfdb1822c,
+    0xa323d, 0xfdbe111e, 0x9c1ff, 0xfdcaa027,
+    0x95438, 0xfdd72f45, 0x8e8e8, 0xfde3be78,
+    0x8800f, 0xfdf04dc0, 0x819ae, 0xfdfcdd1d,
+    0x7b5c4, 0xfe096c8d, 0x75452, 0xfe15fc11,
+    0x6f556, 0xfe228ba7, 0x698d3, 0xfe2f1b50,
+    0x63ec6, 0xfe3bab0b, 0x5e731, 0xfe483ad8,
+    0x59214, 0xfe54cab5, 0x53f6e, 0xfe615aa3,
+    0x4ef3f, 0xfe6deaa1, 0x4a188, 0xfe7a7aae,
+    0x45648, 0xfe870aca, 0x40d80, 0xfe939af5,
+    0x3c72f, 0xfea02b2e, 0x38356, 0xfeacbb74,
+    0x341f4, 0xfeb94bc8, 0x3030a, 0xfec5dc28,
+    0x2c697, 0xfed26c94, 0x28c9c, 0xfedefd0c,
+    0x25519, 0xfeeb8d8f, 0x2200d, 0xfef81e1d,
+    0x1ed78, 0xff04aeb5, 0x1bd5c, 0xff113f56,
+    0x18fb6, 0xff1dd001, 0x16489, 0xff2a60b4,
+    0x13bd3, 0xff36f170, 0x11594, 0xff438234,
+    0xf1ce, 0xff5012fe, 0xd07e, 0xff5ca3d0,
+    0xb1a7, 0xff6934a8, 0x9547, 0xff75c585,
+    0x7b5f, 0xff825668, 0x63ee, 0xff8ee750,
+    0x4ef5, 0xff9b783c, 0x3c74, 0xffa8092c,
+    0x2c6a, 0xffb49a1f, 0x1ed8, 0xffc12b16,
+    0x13bd, 0xffcdbc0f, 0xb1a, 0xffda4d09,
+    0x4ef, 0xffe6de05, 0x13c, 0xfff36f02,
+    0x0, 0x0, 0x13c, 0xc90fe,
+    0x4ef, 0x1921fb, 0xb1a, 0x25b2f7,
+    0x13bd, 0x3243f1, 0x1ed8, 0x3ed4ea,
+    0x2c6a, 0x4b65e1, 0x3c74, 0x57f6d4,
+    0x4ef5, 0x6487c4, 0x63ee, 0x7118b0,
+    0x7b5f, 0x7da998, 0x9547, 0x8a3a7b,
+    0xb1a7, 0x96cb58, 0xd07e, 0xa35c30,
+    0xf1ce, 0xafed02, 0x11594, 0xbc7dcc,
+    0x13bd3, 0xc90e90, 0x16489, 0xd59f4c,
+    0x18fb6, 0xe22fff, 0x1bd5c, 0xeec0aa,
+    0x1ed78, 0xfb514b, 0x2200d, 0x107e1e3,
+    0x25519, 0x1147271, 0x28c9c, 0x12102f4,
+    0x2c697, 0x12d936c, 0x3030a, 0x13a23d8,
+    0x341f4, 0x146b438, 0x38356, 0x153448c,
+    0x3c72f, 0x15fd4d2, 0x40d80, 0x16c650b,
+    0x45648, 0x178f536, 0x4a188, 0x1858552,
+    0x4ef3f, 0x192155f, 0x53f6e, 0x19ea55d,
+    0x59214, 0x1ab354b, 0x5e731, 0x1b7c528,
+    0x63ec6, 0x1c454f5, 0x698d3, 0x1d0e4b0,
+    0x6f556, 0x1dd7459, 0x75452, 0x1ea03ef,
+    0x7b5c4, 0x1f69373, 0x819ae, 0x20322e3,
+    0x8800f, 0x20fb240, 0x8e8e8, 0x21c4188,
+    0x95438, 0x228d0bb, 0x9c1ff, 0x2355fd9,
+    0xa323d, 0x241eee2, 0xaa4f3, 0x24e7dd4,
+    0xb1a20, 0x25b0caf, 0xb91c4, 0x2679b73,
+    0xc0be0, 0x2742a1f, 0xc8872, 0x280b8b3,
+    0xd077c, 0x28d472e, 0xd88fd, 0x299d590,
+    0xe0cf5, 0x2a663d8, 0xe9364, 0x2b2f207,
+    0xf1c4a, 0x2bf801a, 0xfa7a8, 0x2cc0e13,
+    0x10357c, 0x2d89bf0, 0x10c5c7, 0x2e529b0,
+    0x11588a, 0x2f1b755, 0x11edc3, 0x2fe44dc,
+    0x128574, 0x30ad245, 0x131f9b, 0x3175f91,
+    0x13bc39, 0x323ecbe, 0x145b4e, 0x33079cc,
+    0x14fcda, 0x33d06bb, 0x15a0dd, 0x3499389,
+    0x164757, 0x3562038, 0x16f047, 0x362acc5,
+    0x179bae, 0x36f3931, 0x18498c, 0x37bc57b,
+    0x18f9e1, 0x38851a2, 0x19acac, 0x394dda7,
+    0x1a61ee, 0x3a16988, 0x1b19a7, 0x3adf546,
+    0x1bd3d6, 0x3ba80df, 0x1c907c, 0x3c70c54,
+    0x1d4f99, 0x3d397a3, 0x1e112b, 0x3e022cc,
+    0x1ed535, 0x3ecadcf, 0x1f9bb5, 0x3f938ac,
+    0x2064ab, 0x405c361, 0x213018, 0x4124dee,
+    0x21fdfb, 0x41ed854, 0x22ce54, 0x42b6290,
+    0x23a124, 0x437eca4, 0x24766a, 0x444768d,
+    0x254e27, 0x451004d, 0x262859, 0x45d89e2,
+    0x270502, 0x46a134c, 0x27e421, 0x4769c8b,
+    0x28c5b6, 0x483259d, 0x29a9c1, 0x48fae83,
+    0x2a9042, 0x49c373c, 0x2b7939, 0x4a8bfc7,
+    0x2c64a6, 0x4b54825, 0x2d5289, 0x4c1d054,
+    0x2e42e2, 0x4ce5854, 0x2f35b1, 0x4dae024,
+    0x302af5, 0x4e767c5, 0x3122b0, 0x4f3ef35,
+    0x321ce0, 0x5007674, 0x331986, 0x50cfd82,
+    0x3418a2, 0x519845e, 0x351a33, 0x5260b08,
+    0x361e3a, 0x532917f, 0x3724b6, 0x53f17c3,
+    0x382da8, 0x54b9dd3, 0x393910, 0x55823ae,
+    0x3a46ed, 0x564a955, 0x3b573f, 0x5712ec7,
+    0x3c6a07, 0x57db403, 0x3d7f44, 0x58a3908,
+    0x3e96f6, 0x596bdd7, 0x3fb11d, 0x5a3426f,
+    0x40cdba, 0x5afc6d0, 0x41eccc, 0x5bc4af8,
+    0x430e53, 0x5c8cee7, 0x44324f, 0x5d5529e,
+    0x4558c0, 0x5e1d61b, 0x4681a6, 0x5ee595d,
+    0x47ad01, 0x5fadc66, 0x48dad1, 0x6075f33,
+    0x4a0b16, 0x613e1c5, 0x4b3dcf, 0x620641a,
+    0x4c72fe, 0x62ce634, 0x4daaa1, 0x6396810,
+    0x4ee4b8, 0x645e9af, 0x502145, 0x6526b10,
+    0x516045, 0x65eec33, 0x52a1bb, 0x66b6d16,
+    0x53e5a5, 0x677edbb, 0x552c03, 0x6846e1f,
+    0x5674d6, 0x690ee44, 0x57c01d, 0x69d6e27,
+    0x590dd8, 0x6a9edc9, 0x5a5e07, 0x6b66d29,
+    0x5bb0ab, 0x6c2ec48, 0x5d05c3, 0x6cf6b23,
+    0x5e5d4e, 0x6dbe9bb, 0x5fb74e, 0x6e86810,
+    0x6113c2, 0x6f4e620, 0x6272aa, 0x70163eb,
+    0x63d405, 0x70de172, 0x6537d4, 0x71a5eb3,
+    0x669e18, 0x726dbae, 0x6806ce, 0x7335862,
+    0x6971f9, 0x73fd4cf, 0x6adf97, 0x74c50f4,
+    0x6c4fa8, 0x758ccd2, 0x6dc22e, 0x7654867,
+    0x6f3726, 0x771c3b3, 0x70ae92, 0x77e3eb5,
+    0x722871, 0x78ab96e, 0x73a4c3, 0x79733dc,
+    0x752389, 0x7a3adff, 0x76a4c2, 0x7b027d7,
+    0x78286e, 0x7bca163, 0x79ae8c, 0x7c91aa3,
+    0x7b371e, 0x7d59396, 0x7cc223, 0x7e20c3b,
+    0x7e4f9b, 0x7ee8493, 0x7fdf85, 0x7fafc9c,
+    0x8171e2, 0x8077457, 0x8306b2, 0x813ebc2,
+    0x849df4, 0x82062de, 0x8637a9, 0x82cd9a9,
+    0x87d3d0, 0x8395024, 0x89726a, 0x845c64d,
+    0x8b1376, 0x8523c25, 0x8cb6f5, 0x85eb1ab,
+    0x8e5ce5, 0x86b26de, 0x900548, 0x8779bbe,
+    0x91b01d, 0x884104b, 0x935d64, 0x8908483,
+    0x950d1d, 0x89cf867, 0x96bf48, 0x8a96bf6,
+    0x9873e4, 0x8b5df30, 0x9a2af3, 0x8c25213,
+    0x9be473, 0x8cec4a0, 0x9da065, 0x8db36d6,
+    0x9f5ec8, 0x8e7a8b5, 0xa11f9d, 0x8f41a3c,
+    0xa2e2e3, 0x9008b6a, 0xa4a89b, 0x90cfc40,
+    0xa670c4, 0x9196cbc, 0xa83b5e, 0x925dcdf,
+    0xaa086a, 0x9324ca7, 0xabd7e6, 0x93ebc14,
+    0xada9d4, 0x94b2b27, 0xaf7e33, 0x95799dd,
+    0xb15502, 0x9640837, 0xb32e42, 0x9707635,
+    0xb509f3, 0x97ce3d5, 0xb6e815, 0x9895118,
+    0xb8c8a7, 0x995bdfd, 0xbaabaa, 0x9a22a83,
+    0xbc911d, 0x9ae96aa, 0xbe7901, 0x9bb0271,
+    0xc06355, 0x9c76dd8, 0xc25019, 0x9d3d8df,
+    0xc43f4d, 0x9e04385, 0xc630f2, 0x9ecadc9,
+    0xc82506, 0x9f917ac, 0xca1b8a, 0xa05812c,
+    0xcc147f, 0xa11ea49, 0xce0fe3, 0xa1e5303,
+    0xd00db6, 0xa2abb59, 0xd20dfa, 0xa37234a,
+    0xd410ad, 0xa438ad7, 0xd615cf, 0xa4ff1fe,
+    0xd81d61, 0xa5c58c0, 0xda2762, 0xa68bf1b,
+    0xdc33d2, 0xa752510, 0xde42b2, 0xa818a9d,
+    0xe05401, 0xa8defc3, 0xe267be, 0xa9a5480,
+    0xe47deb, 0xaa6b8d5, 0xe69686, 0xab31cc1,
+    0xe8b190, 0xabf8043, 0xeacf09, 0xacbe35b,
+    0xeceef1, 0xad84609, 0xef1147, 0xae4a84b,
+    0xf1360b, 0xaf10a22, 0xf35d3e, 0xafd6b8d,
+    0xf586df, 0xb09cc8c, 0xf7b2ee, 0xb162d1d,
+    0xf9e16b, 0xb228d42, 0xfc1257, 0xb2eecf8,
+    0xfe45b0, 0xb3b4c40, 0x1007b77, 0xb47ab19,
+    0x102b3ac, 0xb540982, 0x104ee4f, 0xb60677c,
+    0x1072b5f, 0xb6cc506, 0x1096add, 0xb79221f,
+    0x10bacc8, 0xb857ec7, 0x10df120, 0xb91dafc,
+    0x11037e6, 0xb9e36c0, 0x1128119, 0xbaa9211,
+    0x114ccb9, 0xbb6ecef, 0x1171ac6, 0xbc34759,
+    0x1196b3f, 0xbcfa150, 0x11bbe26, 0xbdbfad1,
+    0x11e1379, 0xbe853de, 0x1206b39, 0xbf4ac75,
+    0x122c566, 0xc010496, 0x12521ff, 0xc0d5c41,
+    0x1278104, 0xc19b374, 0x129e276, 0xc260a31,
+    0x12c4653, 0xc326075, 0x12eac9d, 0xc3eb641,
+    0x1311553, 0xc4b0b94, 0x1338075, 0xc57606e,
+    0x135ee02, 0xc63b4ce, 0x1385dfb, 0xc7008b3,
+    0x13ad060, 0xc7c5c1e, 0x13d4530, 0xc88af0e,
+    0x13fbc6c, 0xc950182, 0x1423613, 0xca1537a,
+    0x144b225, 0xcada4f5, 0x14730a3, 0xcb9f5f3,
+    0x149b18b, 0xcc64673, 0x14c34df, 0xcd29676,
+    0x14eba9d, 0xcdee5f9, 0x15142c6, 0xceb34fe,
+    0x153cd5a, 0xcf78383, 0x1565a58, 0xd03d189,
+    0x158e9c1, 0xd101f0e, 0x15b7b94, 0xd1c6c11,
+    0x15e0fd1, 0xd28b894, 0x160a678, 0xd350495,
+    0x1633f8a, 0xd415013, 0x165db05, 0xd4d9b0e,
+    0x16878eb, 0xd59e586, 0x16b193a, 0xd662f7b,
+    0x16dbbf3, 0xd7278eb, 0x1706115, 0xd7ec1d6,
+    0x17308a1, 0xd8b0a3d, 0x175b296, 0xd97521d,
+    0x1785ef4, 0xda39978, 0x17b0dbb, 0xdafe04b,
+    0x17dbeec, 0xdbc2698, 0x1807285, 0xdc86c5d,
+    0x1832888, 0xdd4b19a, 0x185e0f3, 0xde0f64f,
+    0x1889bc6, 0xded3a7b, 0x18b5903, 0xdf97e1d,
+    0x18e18a7, 0xe05c135, 0x190dab4, 0xe1203c3,
+    0x1939f29, 0xe1e45c6, 0x1966606, 0xe2a873e,
+    0x1992f4c, 0xe36c82a, 0x19bfaf9, 0xe430889,
+    0x19ec90d, 0xe4f485c, 0x1a1998a, 0xe5b87a2,
+    0x1a46c6e, 0xe67c65a, 0x1a741b9, 0xe740483,
+    0x1aa196c, 0xe80421e, 0x1acf386, 0xe8c7f2a,
+    0x1afd007, 0xe98bba7, 0x1b2aef0, 0xea4f793,
+    0x1b5903f, 0xeb132ef, 0x1b873f5, 0xebd6db9,
+    0x1bb5a11, 0xec9a7f3, 0x1be4294, 0xed5e19a,
+    0x1c12d7e, 0xee21aaf, 0x1c41ace, 0xeee5331,
+    0x1c70a84, 0xefa8b20, 0x1c9fca0, 0xf06c27a,
+    0x1ccf122, 0xf12f941, 0x1cfe80a, 0xf1f2f73,
+    0x1d2e158, 0xf2b650f, 0x1d5dd0c, 0xf379a16,
+    0x1d8db25, 0xf43ce86, 0x1dbdba3, 0xf500260,
+    0x1dede87, 0xf5c35a3, 0x1e1e3d0, 0xf68684e,
+    0x1e4eb7e, 0xf749a61, 0x1e7f591, 0xf80cbdc,
+    0x1eb0209, 0xf8cfcbe, 0x1ee10e5, 0xf992d06,
+    0x1f12227, 0xfa55cb4, 0x1f435cc, 0xfb18bc8,
+    0x1f74bd6, 0xfbdba40, 0x1fa6445, 0xfc9e81e,
+    0x1fd7f17, 0xfd6155f, 0x2009c4e, 0xfe24205,
+    0x203bbe8, 0xfee6e0d, 0x206dde6, 0xffa9979,
+    0x20a0248, 0x1006c446, 0x20d290d, 0x1012ee76,
+    0x2105236, 0x101f1807, 0x2137dc2, 0x102b40f8,
+    0x216abb1, 0x1037694b, 0x219dc03, 0x104390fd,
+    0x21d0eb8, 0x104fb80e, 0x22043d0, 0x105bde7f,
+    0x2237b4b, 0x1068044e, 0x226b528, 0x1074297b,
+    0x229f167, 0x10804e06, 0x22d3009, 0x108c71ee,
+    0x230710d, 0x10989532, 0x233b473, 0x10a4b7d3,
+    0x236fa3b, 0x10b0d9d0, 0x23a4265, 0x10bcfb28,
+    0x23d8cf1, 0x10c91bda, 0x240d9de, 0x10d53be7,
+    0x244292c, 0x10e15b4e, 0x2477adc, 0x10ed7a0e,
+    0x24aceed, 0x10f99827, 0x24e255e, 0x1105b599,
+    0x2517e31, 0x1111d263, 0x254d965, 0x111dee84,
+    0x25836f9, 0x112a09fc, 0x25b96ee, 0x113624cb,
+    0x25ef943, 0x11423ef0, 0x2625df8, 0x114e586a,
+    0x265c50e, 0x115a713a, 0x2692e83, 0x1166895f,
+    0x26c9a58, 0x1172a0d7, 0x270088e, 0x117eb7a4,
+    0x2737922, 0x118acdc4, 0x276ec16, 0x1196e337,
+    0x27a616a, 0x11a2f7fc, 0x27dd91c, 0x11af0c13,
+    0x281532e, 0x11bb1f7c, 0x284cf9f, 0x11c73235,
+    0x2884e6e, 0x11d3443f, 0x28bcf9c, 0x11df5599,
+    0x28f5329, 0x11eb6643, 0x292d914, 0x11f7763c,
+    0x296615d, 0x12038584, 0x299ec05, 0x120f941a,
+    0x29d790a, 0x121ba1fd, 0x2a1086d, 0x1227af2e,
+    0x2a49a2e, 0x1233bbac, 0x2a82e4d, 0x123fc776,
+    0x2abc4c9, 0x124bd28c, 0x2af5da2, 0x1257dced,
+    0x2b2f8d8, 0x1263e699, 0x2b6966c, 0x126fef90,
+    0x2ba365c, 0x127bf7d1, 0x2bdd8a9, 0x1287ff5b,
+    0x2c17d52, 0x1294062f, 0x2c52459, 0x12a00c4b,
+    0x2c8cdbb, 0x12ac11af, 0x2cc7979, 0x12b8165b,
+    0x2d02794, 0x12c41a4f, 0x2d3d80a, 0x12d01d89,
+    0x2d78add, 0x12dc2009, 0x2db400a, 0x12e821cf,
+    0x2def794, 0x12f422db, 0x2e2b178, 0x1300232c,
+    0x2e66db8, 0x130c22c1, 0x2ea2c53, 0x1318219a,
+    0x2eded49, 0x13241fb6, 0x2f1b099, 0x13301d16,
+    0x2f57644, 0x133c19b8, 0x2f93e4a, 0x1348159d,
+    0x2fd08a9, 0x135410c3, 0x300d563, 0x13600b2a,
+    0x304a477, 0x136c04d2, 0x30875e5, 0x1377fdbb,
+    0x30c49ad, 0x1383f5e3, 0x3101fce, 0x138fed4b,
+    0x313f848, 0x139be3f2, 0x317d31c, 0x13a7d9d7,
+    0x31bb049, 0x13b3cefa, 0x31f8fcf, 0x13bfc35b,
+    0x32371ae, 0x13cbb6f8, 0x32755e5, 0x13d7a9d3,
+    0x32b3c75, 0x13e39be9, 0x32f255e, 0x13ef8d3c,
+    0x333109e, 0x13fb7dc9, 0x336fe37, 0x14076d91,
+    0x33aee27, 0x14135c94, 0x33ee070, 0x141f4ad1,
+    0x342d510, 0x142b3846, 0x346cc07, 0x143724f5,
+    0x34ac556, 0x144310dd, 0x34ec0fc, 0x144efbfc,
+    0x352bef9, 0x145ae653, 0x356bf4d, 0x1466cfe1,
+    0x35ac1f7, 0x1472b8a5, 0x35ec6f8, 0x147ea0a0,
+    0x362ce50, 0x148a87d1, 0x366d7fd, 0x14966e36,
+    0x36ae401, 0x14a253d1, 0x36ef25b, 0x14ae38a0,
+    0x373030a, 0x14ba1ca3, 0x377160f, 0x14c5ffd9,
+    0x37b2b6a, 0x14d1e242, 0x37f4319, 0x14ddc3de,
+    0x3835d1e, 0x14e9a4ac, 0x3877978, 0x14f584ac,
+    0x38b9827, 0x150163dc, 0x38fb92a, 0x150d423d,
+    0x393dc82, 0x15191fcf, 0x398022f, 0x1524fc90,
+    0x39c2a2f, 0x1530d881, 0x3a05484, 0x153cb3a0,
+    0x3a4812c, 0x15488dee, 0x3a8b028, 0x1554676a,
+    0x3ace178, 0x15604013, 0x3b1151b, 0x156c17e9,
+    0x3b54b11, 0x1577eeec, 0x3b9835a, 0x1583c51b,
+    0x3bdbdf6, 0x158f9a76, 0x3c1fae5, 0x159b6efb,
+    0x3c63a26, 0x15a742ac, 0x3ca7bba, 0x15b31587,
+    0x3cebfa0, 0x15bee78c, 0x3d305d8, 0x15cab8ba,
+    0x3d74e62, 0x15d68911, 0x3db993e, 0x15e25890,
+    0x3dfe66c, 0x15ee2738, 0x3e435ea, 0x15f9f507,
+    0x3e887bb, 0x1605c1fd, 0x3ecdbdc, 0x16118e1a,
+    0x3f1324e, 0x161d595d, 0x3f58b10, 0x162923c5,
+    0x3f9e624, 0x1634ed53, 0x3fe4388, 0x1640b606,
+    0x402a33c, 0x164c7ddd, 0x4070540, 0x165844d8,
+    0x40b6994, 0x16640af7, 0x40fd037, 0x166fd039,
+    0x414392b, 0x167b949d, 0x418a46d, 0x16875823,
+    0x41d11ff, 0x16931acb, 0x42181e0, 0x169edc94,
+    0x425f410, 0x16aa9d7e, 0x42a688f, 0x16b65d88,
+    0x42edf5c, 0x16c21cb2, 0x4335877, 0x16cddafb,
+    0x437d3e1, 0x16d99864, 0x43c5199, 0x16e554ea,
+    0x440d19e, 0x16f1108f, 0x44553f2, 0x16fccb51,
+    0x449d892, 0x17088531, 0x44e5f80, 0x17143e2d,
+    0x452e8bc, 0x171ff646, 0x4577444, 0x172bad7a,
+    0x45c0219, 0x173763c9, 0x460923b, 0x17431933,
+    0x46524a9, 0x174ecdb8, 0x469b963, 0x175a8157,
+    0x46e5069, 0x1766340f, 0x472e9bc, 0x1771e5e0,
+    0x477855a, 0x177d96ca, 0x47c2344, 0x178946cc,
+    0x480c379, 0x1794f5e6, 0x48565f9, 0x17a0a417,
+    0x48a0ac4, 0x17ac515f, 0x48eb1db, 0x17b7fdbd,
+    0x4935b3c, 0x17c3a931, 0x49806e7, 0x17cf53bb,
+    0x49cb4dd, 0x17dafd59, 0x4a1651c, 0x17e6a60c,
+    0x4a617a6, 0x17f24dd3, 0x4aacc7a, 0x17fdf4ae,
+    0x4af8397, 0x18099a9c, 0x4b43cfd, 0x18153f9d,
+    0x4b8f8ad, 0x1820e3b0, 0x4bdb6a6, 0x182c86d5,
+    0x4c276e8, 0x1838290c, 0x4c73972, 0x1843ca53,
+    0x4cbfe45, 0x184f6aab, 0x4d0c560, 0x185b0a13,
+    0x4d58ec3, 0x1866a88a, 0x4da5a6f, 0x18724611,
+    0x4df2862, 0x187de2a7, 0x4e3f89c, 0x18897e4a,
+    0x4e8cb1e, 0x189518fc, 0x4ed9fe7, 0x18a0b2bb,
+    0x4f276f7, 0x18ac4b87, 0x4f7504e, 0x18b7e35f,
+    0x4fc2bec, 0x18c37a44, 0x50109d0, 0x18cf1034,
+    0x505e9fb, 0x18daa52f, 0x50acc6b, 0x18e63935,
+    0x50fb121, 0x18f1cc45, 0x514981d, 0x18fd5e5f,
+    0x519815f, 0x1908ef82, 0x51e6ce6, 0x19147fae,
+    0x5235ab2, 0x19200ee3, 0x5284ac3, 0x192b9d1f,
+    0x52d3d18, 0x19372a64, 0x53231b3, 0x1942b6af,
+    0x5372891, 0x194e4201, 0x53c21b4, 0x1959cc5a,
+    0x5411d1b, 0x196555b8, 0x5461ac6, 0x1970de1b,
+    0x54b1ab4, 0x197c6584, 0x5501ce5, 0x1987ebf0,
+    0x555215a, 0x19937161, 0x55a2812, 0x199ef5d6,
+    0x55f310d, 0x19aa794d, 0x5643c4a, 0x19b5fbc8,
+    0x56949ca, 0x19c17d44, 0x56e598c, 0x19ccfdc2,
+    0x5736b90, 0x19d87d42, 0x5787fd6, 0x19e3fbc3,
+    0x57d965d, 0x19ef7944, 0x582af26, 0x19faf5c5,
+    0x587ca31, 0x1a067145, 0x58ce77c, 0x1a11ebc5,
+    0x5920708, 0x1a1d6544, 0x59728d5, 0x1a28ddc0,
+    0x59c4ce3, 0x1a34553b, 0x5a17330, 0x1a3fcbb3,
+    0x5a69bbe, 0x1a4b4128, 0x5abc68c, 0x1a56b599,
+    0x5b0f399, 0x1a622907, 0x5b622e6, 0x1a6d9b70,
+    0x5bb5472, 0x1a790cd4, 0x5c0883d, 0x1a847d33,
+    0x5c5be47, 0x1a8fec8c, 0x5caf690, 0x1a9b5adf,
+    0x5d03118, 0x1aa6c82b, 0x5d56ddd, 0x1ab23471,
+    0x5daace1, 0x1abd9faf, 0x5dfee22, 0x1ac909e5,
+    0x5e531a1, 0x1ad47312, 0x5ea775e, 0x1adfdb37,
+    0x5efbf58, 0x1aeb4253, 0x5f5098f, 0x1af6a865,
+    0x5fa5603, 0x1b020d6c, 0x5ffa4b3, 0x1b0d716a,
+    0x604f5a0, 0x1b18d45c, 0x60a48c9, 0x1b243643,
+    0x60f9e2e, 0x1b2f971e, 0x614f5cf, 0x1b3af6ec,
+    0x61a4fac, 0x1b4655ae, 0x61fabc4, 0x1b51b363,
+    0x6250a18, 0x1b5d100a, 0x62a6aa6, 0x1b686ba3,
+    0x62fcd6f, 0x1b73c62d, 0x6353273, 0x1b7f1fa9,
+    0x63a99b1, 0x1b8a7815, 0x6400329, 0x1b95cf71,
+    0x6456edb, 0x1ba125bd, 0x64adcc7, 0x1bac7af9,
+    0x6504ced, 0x1bb7cf23, 0x655bf4c, 0x1bc3223c,
+    0x65b33e4, 0x1bce7442, 0x660aab5, 0x1bd9c537,
+    0x66623be, 0x1be51518, 0x66b9f01, 0x1bf063e6,
+    0x6711c7b, 0x1bfbb1a0, 0x6769c2e, 0x1c06fe46,
+    0x67c1e18, 0x1c1249d8, 0x681a23a, 0x1c1d9454,
+    0x6872894, 0x1c28ddbb, 0x68cb124, 0x1c34260c,
+    0x6923bec, 0x1c3f6d47, 0x697c8eb, 0x1c4ab36b,
+    0x69d5820, 0x1c55f878, 0x6a2e98b, 0x1c613c6d,
+    0x6a87d2d, 0x1c6c7f4a, 0x6ae1304, 0x1c77c10e,
+    0x6b3ab12, 0x1c8301b9, 0x6b94554, 0x1c8e414b,
+    0x6bee1cd, 0x1c997fc4, 0x6c4807a, 0x1ca4bd21,
+    0x6ca215c, 0x1caff965, 0x6cfc472, 0x1cbb348d,
+    0x6d569be, 0x1cc66e99, 0x6db113d, 0x1cd1a78a,
+    0x6e0baf0, 0x1cdcdf5e, 0x6e666d7, 0x1ce81615,
+    0x6ec14f2, 0x1cf34baf, 0x6f1c540, 0x1cfe802b,
+    0x6f777c1, 0x1d09b389, 0x6fd2c75, 0x1d14e5c9,
+    0x702e35c, 0x1d2016e9, 0x7089c75, 0x1d2b46ea,
+    0x70e57c0, 0x1d3675cb, 0x714153e, 0x1d41a38c,
+    0x719d4ed, 0x1d4cd02c, 0x71f96ce, 0x1d57fbaa,
+    0x7255ae0, 0x1d632608, 0x72b2123, 0x1d6e4f43,
+    0x730e997, 0x1d79775c, 0x736b43c, 0x1d849e51,
+    0x73c8111, 0x1d8fc424, 0x7425016, 0x1d9ae8d2,
+    0x748214c, 0x1da60c5d, 0x74df4b1, 0x1db12ec3,
+    0x753ca46, 0x1dbc5004, 0x759a20a, 0x1dc7701f,
+    0x75f7bfe, 0x1dd28f15, 0x7655820, 0x1dddace4,
+    0x76b3671, 0x1de8c98c, 0x77116f0, 0x1df3e50d,
+    0x776f99d, 0x1dfeff67, 0x77cde79, 0x1e0a1898,
+    0x782c582, 0x1e1530a1, 0x788aeb9, 0x1e204781,
+    0x78e9a1d, 0x1e2b5d38, 0x79487ae, 0x1e3671c5,
+    0x79a776c, 0x1e418528, 0x7a06957, 0x1e4c9760,
+    0x7a65d6e, 0x1e57a86d, 0x7ac53b1, 0x1e62b84f,
+    0x7b24c20, 0x1e6dc705, 0x7b846ba, 0x1e78d48e,
+    0x7be4381, 0x1e83e0eb, 0x7c44272, 0x1e8eec1b,
+    0x7ca438f, 0x1e99f61d, 0x7d046d6, 0x1ea4fef0,
+    0x7d64c47, 0x1eb00696, 0x7dc53e3, 0x1ebb0d0d,
+    0x7e25daa, 0x1ec61254, 0x7e8699a, 0x1ed1166b,
+    0x7ee77b3, 0x1edc1953, 0x7f487f6, 0x1ee71b0a,
+    0x7fa9a62, 0x1ef21b90, 0x800aef7, 0x1efd1ae4,
+    0x806c5b5, 0x1f081907, 0x80cde9b, 0x1f1315f7,
+    0x812f9a9, 0x1f1e11b5, 0x81916df, 0x1f290c3f,
+    0x81f363d, 0x1f340596, 0x82557c3, 0x1f3efdb9,
+    0x82b7b70, 0x1f49f4a8, 0x831a143, 0x1f54ea62,
+    0x837c93e, 0x1f5fdee6, 0x83df35f, 0x1f6ad235,
+    0x8441fa6, 0x1f75c44e, 0x84a4e14, 0x1f80b531,
+    0x8507ea7, 0x1f8ba4dc, 0x856b160, 0x1f969350,
+    0x85ce63e, 0x1fa1808c, 0x8631d42, 0x1fac6c91,
+    0x869566a, 0x1fb7575c, 0x86f91b7, 0x1fc240ef,
+    0x875cf28, 0x1fcd2948, 0x87c0ebd, 0x1fd81067,
+    0x8825077, 0x1fe2f64c, 0x8889454, 0x1feddaf6,
+    0x88eda54, 0x1ff8be65, 0x8952278, 0x2003a099,
+    0x89b6cbf, 0x200e8190, 0x8a1b928, 0x2019614c,
+    0x8a807b4, 0x20243fca, 0x8ae5862, 0x202f1d0b,
+    0x8b4ab32, 0x2039f90f, 0x8bb0023, 0x2044d3d4,
+    0x8c15736, 0x204fad5b, 0x8c7b06b, 0x205a85a3,
+    0x8ce0bc0, 0x20655cac, 0x8d46936, 0x20703275,
+    0x8dac8cd, 0x207b06fe, 0x8e12a84, 0x2085da46,
+    0x8e78e5b, 0x2090ac4d, 0x8edf452, 0x209b7d13,
+    0x8f45c68, 0x20a64c97, 0x8fac69e, 0x20b11ad9,
+    0x90132f2, 0x20bbe7d8, 0x907a166, 0x20c6b395,
+    0x90e11f7, 0x20d17e0d, 0x91484a8, 0x20dc4742,
+    0x91af976, 0x20e70f32, 0x9217062, 0x20f1d5de,
+    0x927e96b, 0x20fc9b44, 0x92e6492, 0x21075f65,
+    0x934e1d6, 0x21122240, 0x93b6137, 0x211ce3d5,
+    0x941e2b4, 0x2127a423, 0x948664d, 0x21326329,
+    0x94eec03, 0x213d20e8, 0x95573d4, 0x2147dd5f,
+    0x95bfdc1, 0x2152988d, 0x96289c9, 0x215d5273,
+    0x96917ec, 0x21680b0f, 0x96fa82a, 0x2172c262,
+    0x9763a83, 0x217d786a, 0x97ccef5, 0x21882d28,
+    0x9836582, 0x2192e09b, 0x989fe29, 0x219d92c2,
+    0x99098e9, 0x21a8439e, 0x99735c2, 0x21b2f32e,
+    0x99dd4b4, 0x21bda171, 0x9a475bf, 0x21c84e67,
+    0x9ab18e3, 0x21d2fa0f, 0x9b1be1e, 0x21dda46a,
+    0x9b86572, 0x21e84d76, 0x9bf0edd, 0x21f2f534,
+    0x9c5ba60, 0x21fd9ba3, 0x9cc67fa, 0x220840c2,
+    0x9d317ab, 0x2212e492, 0x9d9c973, 0x221d8711,
+    0x9e07d51, 0x2228283f, 0x9e73346, 0x2232c81c,
+    0x9edeb50, 0x223d66a8, 0x9f4a570, 0x224803e2,
+    0x9fb61a5, 0x22529fca, 0xa021fef, 0x225d3a5e,
+    0xa08e04f, 0x2267d3a0, 0xa0fa2c3, 0x22726b8e,
+    0xa16674b, 0x227d0228, 0xa1d2de7, 0x2287976e,
+    0xa23f698, 0x22922b5e, 0xa2ac15b, 0x229cbdfa,
+    0xa318e32, 0x22a74f40, 0xa385d1d, 0x22b1df30,
+    0xa3f2e19, 0x22bc6dca, 0xa460129, 0x22c6fb0c,
+    0xa4cd64b, 0x22d186f8, 0xa53ad7e, 0x22dc118c,
+    0xa5a86c4, 0x22e69ac8, 0xa61621b, 0x22f122ab,
+    0xa683f83, 0x22fba936, 0xa6f1efc, 0x23062e67,
+    0xa760086, 0x2310b23e, 0xa7ce420, 0x231b34bc,
+    0xa83c9ca, 0x2325b5df, 0xa8ab184, 0x233035a7,
+    0xa919b4e, 0x233ab414, 0xa988727, 0x23453125,
+    0xa9f750f, 0x234facda, 0xaa66506, 0x235a2733,
+    0xaad570c, 0x2364a02e, 0xab44b1f, 0x236f17cc,
+    0xabb4141, 0x23798e0d, 0xac23971, 0x238402ef,
+    0xac933ae, 0x238e7673, 0xad02ff8, 0x2398e898,
+    0xad72e4f, 0x23a3595e, 0xade2eb3, 0x23adc8c4,
+    0xae53123, 0x23b836ca, 0xaec35a0, 0x23c2a36f,
+    0xaf33c28, 0x23cd0eb3, 0xafa44bc, 0x23d77896,
+    0xb014f5b, 0x23e1e117, 0xb085c05, 0x23ec4837,
+    0xb0f6aba, 0x23f6adf3, 0xb167b79, 0x2401124d,
+    0xb1d8e43, 0x240b7543, 0xb24a316, 0x2415d6d5,
+    0xb2bb9f4, 0x24203704, 0xb32d2da, 0x242a95ce,
+    0xb39edca, 0x2434f332, 0xb410ac3, 0x243f4f32,
+    0xb4829c4, 0x2449a9cc, 0xb4f4acd, 0x245402ff,
+    0xb566ddf, 0x245e5acc, 0xb5d92f8, 0x2468b132,
+    0xb64ba19, 0x24730631, 0xb6be341, 0x247d59c8,
+    0xb730e70, 0x2487abf7, 0xb7a3ba5, 0x2491fcbe,
+    0xb816ae1, 0x249c4c1b, 0xb889c23, 0x24a69a0f,
+    0xb8fcf6b, 0x24b0e699, 0xb9704b9, 0x24bb31ba,
+    0xb9e3c0b, 0x24c57b6f, 0xba57563, 0x24cfc3ba,
+    0xbacb0bf, 0x24da0a9a, 0xbb3ee20, 0x24e4500e,
+    0xbbb2d85, 0x24ee9415, 0xbc26eee, 0x24f8d6b0,
+    0xbc9b25a, 0x250317df, 0xbd0f7ca, 0x250d57a0,
+    0xbd83f3d, 0x251795f3, 0xbdf88b3, 0x2521d2d8,
+    0xbe6d42b, 0x252c0e4f, 0xbee21a5, 0x25364857,
+    0xbf57121, 0x254080ef, 0xbfcc29f, 0x254ab818,
+    0xc04161e, 0x2554edd1, 0xc0b6b9e, 0x255f2219,
+    0xc12c31f, 0x256954f1, 0xc1a1ca0, 0x25738657,
+    0xc217822, 0x257db64c, 0xc28d5a3, 0x2587e4cf,
+    0xc303524, 0x259211df, 0xc3796a5, 0x259c3d7c,
+    0xc3efa25, 0x25a667a7, 0xc465fa3, 0x25b0905d,
+    0xc4dc720, 0x25bab7a0, 0xc55309b, 0x25c4dd6e,
+    0xc5c9c14, 0x25cf01c8, 0xc64098b, 0x25d924ac,
+    0xc6b78ff, 0x25e3461b, 0xc72ea70, 0x25ed6614,
+    0xc7a5dde, 0x25f78497, 0xc81d349, 0x2601a1a2,
+    0xc894aaf, 0x260bbd37, 0xc90c412, 0x2615d754,
+    0xc983f70, 0x261feffa, 0xc9fbcca, 0x262a0727,
+    0xca73c1e, 0x26341cdb, 0xcaebd6e, 0x263e3117,
+    0xcb640b8, 0x264843d9, 0xcbdc5fc, 0x26525521,
+    0xcc54d3a, 0x265c64ef, 0xcccd671, 0x26667342,
+    0xcd461a2, 0x2670801a, 0xcdbeecc, 0x267a8b77,
+    0xce37def, 0x26849558, 0xceb0f0a, 0x268e9dbd,
+    0xcf2a21d, 0x2698a4a6, 0xcfa3729, 0x26a2aa11,
+    0xd01ce2b, 0x26acadff, 0xd096725, 0x26b6b070,
+    0xd110216, 0x26c0b162, 0xd189efe, 0x26cab0d6,
+    0xd203ddc, 0x26d4aecb, 0xd27deb0, 0x26deab41,
+    0xd2f817b, 0x26e8a637, 0xd37263a, 0x26f29fad,
+    0xd3eccef, 0x26fc97a3, 0xd467599, 0x27068e18,
+    0xd4e2037, 0x2710830c, 0xd55ccca, 0x271a767e,
+    0xd5d7b50, 0x2724686e, 0xd652bcb, 0x272e58dc,
+    0xd6cde39, 0x273847c8, 0xd74929a, 0x27423530,
+    0xd7c48ee, 0x274c2115, 0xd840134, 0x27560b76,
+    0xd8bbb6d, 0x275ff452, 0xd937798, 0x2769dbaa,
+    0xd9b35b4, 0x2773c17d, 0xda2f5c2, 0x277da5cb,
+    0xdaab7c0, 0x27878893, 0xdb27bb0, 0x279169d5,
+    0xdba4190, 0x279b4990, 0xdc20960, 0x27a527c4,
+    0xdc9d320, 0x27af0472, 0xdd19ed0, 0x27b8df97,
+    0xdd96c6f, 0x27c2b934, 0xde13bfd, 0x27cc9149,
+    0xde90d79, 0x27d667d5, 0xdf0e0e4, 0x27e03cd8,
+    0xdf8b63d, 0x27ea1052, 0xe008d84, 0x27f3e241,
+    0xe0866b8, 0x27fdb2a7, 0xe1041d9, 0x28078181,
+    0xe181ee8, 0x28114ed0, 0xe1ffde2, 0x281b1a94,
+    0xe27dec9, 0x2824e4cc, 0xe2fc19c, 0x282ead78,
+    0xe37a65b, 0x28387498, 0xe3f8d05, 0x28423a2a,
+    0xe47759a, 0x284bfe2f, 0xe4f6019, 0x2855c0a6,
+    0xe574c84, 0x285f8190, 0xe5f3ad8, 0x286940ea,
+    0xe672b16, 0x2872feb6, 0xe6f1d3d, 0x287cbaf3,
+    0xe77114e, 0x288675a0, 0xe7f0748, 0x28902ebd,
+    0xe86ff2a, 0x2899e64a, 0xe8ef8f4, 0x28a39c46,
+    0xe96f4a7, 0x28ad50b1, 0xe9ef241, 0x28b7038b,
+    0xea6f1c2, 0x28c0b4d2, 0xeaef32b, 0x28ca6488,
+    0xeb6f67a, 0x28d412ab, 0xebefbb0, 0x28ddbf3b,
+    0xec702cb, 0x28e76a37, 0xecf0bcd, 0x28f113a0,
+    0xed716b4, 0x28fabb75, 0xedf2380, 0x290461b5,
+    0xee73231, 0x290e0661, 0xeef42c7, 0x2917a977,
+    0xef75541, 0x29214af8, 0xeff699f, 0x292aeae3,
+    0xf077fe1, 0x29348937, 0xf0f9805, 0x293e25f5,
+    0xf17b20d, 0x2947c11c, 0xf1fcdf8, 0x29515aab,
+    0xf27ebc5, 0x295af2a3, 0xf300b74, 0x29648902,
+    0xf382d05, 0x296e1dc9, 0xf405077, 0x2977b0f7,
+    0xf4875ca, 0x2981428c, 0xf509cfe, 0x298ad287,
+    0xf58c613, 0x299460e8, 0xf60f108, 0x299dedaf,
+    0xf691ddd, 0x29a778db, 0xf714c91, 0x29b1026c,
+    0xf797d24, 0x29ba8a61, 0xf81af97, 0x29c410ba,
+    0xf89e3e8, 0x29cd9578, 0xf921a17, 0x29d71899,
+    0xf9a5225, 0x29e09a1c, 0xfa28c10, 0x29ea1a03,
+    0xfaac7d8, 0x29f3984c, 0xfb3057d, 0x29fd14f6,
+    0xfbb4500, 0x2a069003, 0xfc3865e, 0x2a100970,
+    0xfcbc999, 0x2a19813f, 0xfd40eaf, 0x2a22f76e,
+    0xfdc55a1, 0x2a2c6bfd, 0xfe49e6d, 0x2a35deeb,
+    0xfece915, 0x2a3f503a, 0xff53597, 0x2a48bfe7,
+    0xffd83f4, 0x2a522df3, 0x1005d42a, 0x2a5b9a5d,
+    0x100e2639, 0x2a650525, 0x10167a22, 0x2a6e6e4b,
+    0x101ecfe4, 0x2a77d5ce, 0x1027277e, 0x2a813bae,
+    0x102f80f1, 0x2a8a9fea, 0x1037dc3b, 0x2a940283,
+    0x1040395d, 0x2a9d6377, 0x10489856, 0x2aa6c2c6,
+    0x1050f926, 0x2ab02071, 0x10595bcd, 0x2ab97c77,
+    0x1061c04a, 0x2ac2d6d6, 0x106a269d, 0x2acc2f90,
+    0x10728ec6, 0x2ad586a3, 0x107af8c4, 0x2adedc10,
+    0x10836497, 0x2ae82fd5, 0x108bd23f, 0x2af181f3,
+    0x109441bb, 0x2afad269, 0x109cb30b, 0x2b042137,
+    0x10a5262f, 0x2b0d6e5c, 0x10ad9b26, 0x2b16b9d9,
+    0x10b611f1, 0x2b2003ac, 0x10be8a8d, 0x2b294bd5,
+    0x10c704fd, 0x2b329255, 0x10cf813e, 0x2b3bd72a,
+    0x10d7ff51, 0x2b451a55, 0x10e07f36, 0x2b4e5bd4,
+    0x10e900ec, 0x2b579ba8, 0x10f18472, 0x2b60d9d0,
+    0x10fa09c9, 0x2b6a164d, 0x110290f0, 0x2b73511c,
+    0x110b19e7, 0x2b7c8a3f, 0x1113a4ad, 0x2b85c1b5,
+    0x111c3142, 0x2b8ef77d, 0x1124bfa6, 0x2b982b97,
+    0x112d4fd9, 0x2ba15e03, 0x1135e1d9, 0x2baa8ec0,
+    0x113e75a8, 0x2bb3bdce, 0x11470b44, 0x2bbceb2d,
+    0x114fa2ad, 0x2bc616dd, 0x11583be2, 0x2bcf40dc,
+    0x1160d6e5, 0x2bd8692b, 0x116973b3, 0x2be18fc9,
+    0x1172124d, 0x2beab4b6, 0x117ab2b3, 0x2bf3d7f2,
+    0x118354e4, 0x2bfcf97c, 0x118bf8e0, 0x2c061953,
+    0x11949ea6, 0x2c0f3779, 0x119d4636, 0x2c1853eb,
+    0x11a5ef90, 0x2c216eaa, 0x11ae9ab4, 0x2c2a87b6,
+    0x11b747a0, 0x2c339f0e, 0x11bff656, 0x2c3cb4b1,
+    0x11c8a6d4, 0x2c45c8a0, 0x11d1591a, 0x2c4edada,
+    0x11da0d28, 0x2c57eb5e, 0x11e2c2fd, 0x2c60fa2d,
+    0x11eb7a9a, 0x2c6a0746, 0x11f433fd, 0x2c7312a9,
+    0x11fcef27, 0x2c7c1c55, 0x1205ac17, 0x2c85244a,
+    0x120e6acc, 0x2c8e2a87, 0x12172b48, 0x2c972f0d,
+    0x121fed88, 0x2ca031da, 0x1228b18d, 0x2ca932ef,
+    0x12317756, 0x2cb2324c, 0x123a3ee4, 0x2cbb2fef,
+    0x12430835, 0x2cc42bd9, 0x124bd34a, 0x2ccd2609,
+    0x1254a021, 0x2cd61e7f, 0x125d6ebc, 0x2cdf153a,
+    0x12663f19, 0x2ce80a3a, 0x126f1138, 0x2cf0fd80,
+    0x1277e518, 0x2cf9ef09, 0x1280babb, 0x2d02ded7,
+    0x1289921e, 0x2d0bcce8, 0x12926b41, 0x2d14b93d,
+    0x129b4626, 0x2d1da3d5, 0x12a422ca, 0x2d268cb0,
+    0x12ad012e, 0x2d2f73cd, 0x12b5e151, 0x2d38592c,
+    0x12bec333, 0x2d413ccd, 0x12c7a6d4, 0x2d4a1eaf,
+    0x12d08c33, 0x2d52fed2, 0x12d97350, 0x2d5bdd36,
+    0x12e25c2b, 0x2d64b9da, 0x12eb46c3, 0x2d6d94bf,
+    0x12f43318, 0x2d766de2, 0x12fd2129, 0x2d7f4545,
+    0x130610f7, 0x2d881ae8, 0x130f0280, 0x2d90eec8,
+    0x1317f5c6, 0x2d99c0e7, 0x1320eac6, 0x2da29144,
+    0x1329e181, 0x2dab5fdf, 0x1332d9f7, 0x2db42cb6,
+    0x133bd427, 0x2dbcf7cb, 0x1344d011, 0x2dc5c11c,
+    0x134dcdb4, 0x2dce88aa, 0x1356cd11, 0x2dd74e73,
+    0x135fce26, 0x2de01278, 0x1368d0f3, 0x2de8d4b8,
+    0x1371d579, 0x2df19534, 0x137adbb6, 0x2dfa53e9,
+    0x1383e3ab, 0x2e0310d9, 0x138ced57, 0x2e0bcc03,
+    0x1395f8ba, 0x2e148566, 0x139f05d3, 0x2e1d3d03,
+    0x13a814a2, 0x2e25f2d8, 0x13b12526, 0x2e2ea6e6,
+    0x13ba3760, 0x2e37592c, 0x13c34b4f, 0x2e4009aa,
+    0x13cc60f2, 0x2e48b860, 0x13d5784a, 0x2e51654c,
+    0x13de9156, 0x2e5a1070, 0x13e7ac15, 0x2e62b9ca,
+    0x13f0c887, 0x2e6b615a, 0x13f9e6ad, 0x2e740720,
+    0x14030684, 0x2e7cab1c, 0x140c280e, 0x2e854d4d,
+    0x14154b4a, 0x2e8dedb3, 0x141e7037, 0x2e968c4d,
+    0x142796d5, 0x2e9f291b, 0x1430bf24, 0x2ea7c41e,
+    0x1439e923, 0x2eb05d53, 0x144314d3, 0x2eb8f4bc,
+    0x144c4232, 0x2ec18a58, 0x14557140, 0x2eca1e27,
+    0x145ea1fd, 0x2ed2b027, 0x1467d469, 0x2edb405a,
+    0x14710883, 0x2ee3cebe, 0x147a3e4b, 0x2eec5b53,
+    0x148375c1, 0x2ef4e619, 0x148caee4, 0x2efd6f10,
+    0x1495e9b3, 0x2f05f637, 0x149f2630, 0x2f0e7b8e,
+    0x14a86458, 0x2f16ff14, 0x14b1a42c, 0x2f1f80ca,
+    0x14bae5ab, 0x2f2800af, 0x14c428d6, 0x2f307ec2,
+    0x14cd6dab, 0x2f38fb03, 0x14d6b42b, 0x2f417573,
+    0x14dffc54, 0x2f49ee0f, 0x14e94627, 0x2f5264da,
+    0x14f291a4, 0x2f5ad9d1, 0x14fbdec9, 0x2f634cf5,
+    0x15052d97, 0x2f6bbe45, 0x150e7e0d, 0x2f742dc1,
+    0x1517d02b, 0x2f7c9b69, 0x152123f0, 0x2f85073c,
+    0x152a795d, 0x2f8d713a, 0x1533d070, 0x2f95d963,
+    0x153d292a, 0x2f9e3fb6, 0x15468389, 0x2fa6a433,
+    0x154fdf8f, 0x2faf06da, 0x15593d3a, 0x2fb767aa,
+    0x15629c89, 0x2fbfc6a3, 0x156bfd7d, 0x2fc823c5,
+    0x15756016, 0x2fd07f0f, 0x157ec452, 0x2fd8d882,
+    0x15882a32, 0x2fe1301c, 0x159191b5, 0x2fe985de,
+    0x159afadb, 0x2ff1d9c7, 0x15a465a3, 0x2ffa2bd6,
+    0x15add20d, 0x30027c0c, 0x15b74019, 0x300aca69,
+    0x15c0afc6, 0x301316eb, 0x15ca2115, 0x301b6193,
+    0x15d39403, 0x3023aa5f, 0x15dd0892, 0x302bf151,
+    0x15e67ec1, 0x30343667, 0x15eff690, 0x303c79a2,
+    0x15f96ffd, 0x3044bb00, 0x1602eb0a, 0x304cfa83,
+    0x160c67b4, 0x30553828, 0x1615e5fd, 0x305d73f0,
+    0x161f65e4, 0x3065addb, 0x1628e767, 0x306de5e9,
+    0x16326a88, 0x30761c18, 0x163bef46, 0x307e5069,
+    0x1645759f, 0x308682dc, 0x164efd94, 0x308eb36f,
+    0x16588725, 0x3096e223, 0x16621251, 0x309f0ef8,
+    0x166b9f18, 0x30a739ed, 0x16752d79, 0x30af6302,
+    0x167ebd74, 0x30b78a36, 0x16884f09, 0x30bfaf89,
+    0x1691e237, 0x30c7d2fb, 0x169b76fe, 0x30cff48c,
+    0x16a50d5d, 0x30d8143b, 0x16aea555, 0x30e03208,
+    0x16b83ee4, 0x30e84df3, 0x16c1da0b, 0x30f067fb,
+    0x16cb76c9, 0x30f8801f, 0x16d5151d, 0x31009661,
+    0x16deb508, 0x3108aabf, 0x16e85689, 0x3110bd39,
+    0x16f1f99f, 0x3118cdcf, 0x16fb9e4b, 0x3120dc80,
+    0x1705448b, 0x3128e94c, 0x170eec60, 0x3130f433,
+    0x171895c9, 0x3138fd35, 0x172240c5, 0x31410450,
+    0x172bed55, 0x31490986, 0x17359b78, 0x31510cd5,
+    0x173f4b2e, 0x31590e3e, 0x1748fc75, 0x31610dbf,
+    0x1752af4f, 0x31690b59, 0x175c63ba, 0x3171070c,
+    0x176619b6, 0x317900d6, 0x176fd143, 0x3180f8b8,
+    0x17798a60, 0x3188eeb2, 0x1783450d, 0x3190e2c3,
+    0x178d014a, 0x3198d4ea, 0x1796bf16, 0x31a0c528,
+    0x17a07e70, 0x31a8b37c, 0x17aa3f5a, 0x31b09fe7,
+    0x17b401d1, 0x31b88a66, 0x17bdc5d6, 0x31c072fb,
+    0x17c78b68, 0x31c859a5, 0x17d15288, 0x31d03e64,
+    0x17db1b34, 0x31d82137, 0x17e4e56c, 0x31e0021e,
+    0x17eeb130, 0x31e7e118, 0x17f87e7f, 0x31efbe27,
+    0x18024d59, 0x31f79948, 0x180c1dbf, 0x31ff727c,
+    0x1815efae, 0x320749c3, 0x181fc328, 0x320f1f1c,
+    0x1829982b, 0x3216f287, 0x18336eb7, 0x321ec403,
+    0x183d46cc, 0x32269391, 0x18472069, 0x322e6130,
+    0x1850fb8e, 0x32362ce0, 0x185ad83c, 0x323df6a0,
+    0x1864b670, 0x3245be70, 0x186e962b, 0x324d8450,
+    0x1878776d, 0x32554840, 0x18825a35, 0x325d0a3e,
+    0x188c3e83, 0x3264ca4c, 0x18962456, 0x326c8868,
+    0x18a00bae, 0x32744493, 0x18a9f48a, 0x327bfecc,
+    0x18b3deeb, 0x3283b712, 0x18bdcad0, 0x328b6d66,
+    0x18c7b838, 0x329321c7, 0x18d1a724, 0x329ad435,
+    0x18db9792, 0x32a284b0, 0x18e58982, 0x32aa3336,
+    0x18ef7cf4, 0x32b1dfc9, 0x18f971e8, 0x32b98a67,
+    0x1903685d, 0x32c13311, 0x190d6053, 0x32c8d9c6,
+    0x191759c9, 0x32d07e85, 0x192154bf, 0x32d82150,
+    0x192b5135, 0x32dfc224, 0x19354f2a, 0x32e76102,
+    0x193f4e9e, 0x32eefdea, 0x19494f90, 0x32f698db,
+    0x19535201, 0x32fe31d5, 0x195d55ef, 0x3305c8d7,
+    0x19675b5a, 0x330d5de3, 0x19716243, 0x3314f0f6,
+    0x197b6aa8, 0x331c8211, 0x19857489, 0x33241134,
+    0x198f7fe6, 0x332b9e5e, 0x19998cbe, 0x3333298f,
+    0x19a39b11, 0x333ab2c6, 0x19adaadf, 0x33423a04,
+    0x19b7bc27, 0x3349bf48, 0x19c1cee9, 0x33514292,
+    0x19cbe325, 0x3358c3e2, 0x19d5f8d9, 0x33604336,
+    0x19e01006, 0x3367c090, 0x19ea28ac, 0x336f3bee,
+    0x19f442c9, 0x3376b551, 0x19fe5e5e, 0x337e2cb7,
+    0x1a087b69, 0x3385a222, 0x1a1299ec, 0x338d1590,
+    0x1a1cb9e5, 0x33948701, 0x1a26db54, 0x339bf675,
+    0x1a30fe38, 0x33a363ec, 0x1a3b2292, 0x33aacf65,
+    0x1a454860, 0x33b238e0, 0x1a4f6fa3, 0x33b9a05d,
+    0x1a599859, 0x33c105db, 0x1a63c284, 0x33c8695b,
+    0x1a6dee21, 0x33cfcadc, 0x1a781b31, 0x33d72a5d,
+    0x1a8249b4, 0x33de87de, 0x1a8c79a9, 0x33e5e360,
+    0x1a96ab0f, 0x33ed3ce1, 0x1aa0dde7, 0x33f49462,
+    0x1aab122f, 0x33fbe9e2, 0x1ab547e8, 0x34033d61,
+    0x1abf7f11, 0x340a8edf, 0x1ac9b7a9, 0x3411de5b,
+    0x1ad3f1b1, 0x34192bd5, 0x1ade2d28, 0x3420774d,
+    0x1ae86a0d, 0x3427c0c3, 0x1af2a860, 0x342f0836,
+    0x1afce821, 0x34364da6, 0x1b072950, 0x343d9112,
+    0x1b116beb, 0x3444d27b, 0x1b1baff2, 0x344c11e0,
+    0x1b25f566, 0x34534f41, 0x1b303c46, 0x345a8a9d,
+    0x1b3a8491, 0x3461c3f5, 0x1b44ce46, 0x3468fb47,
+    0x1b4f1967, 0x34703095, 0x1b5965f1, 0x347763dd,
+    0x1b63b3e5, 0x347e951f, 0x1b6e0342, 0x3485c45b,
+    0x1b785409, 0x348cf190, 0x1b82a638, 0x34941cbf,
+    0x1b8cf9cf, 0x349b45e7, 0x1b974ece, 0x34a26d08,
+    0x1ba1a534, 0x34a99221, 0x1babfd01, 0x34b0b533,
+    0x1bb65634, 0x34b7d63c, 0x1bc0b0ce, 0x34bef53d,
+    0x1bcb0cce, 0x34c61236, 0x1bd56a32, 0x34cd2d26,
+    0x1bdfc8fc, 0x34d4460c, 0x1bea292b, 0x34db5cea,
+    0x1bf48abd, 0x34e271bd, 0x1bfeedb3, 0x34e98487,
+    0x1c09520d, 0x34f09546, 0x1c13b7c9, 0x34f7a3fb,
+    0x1c1e1ee9, 0x34feb0a5, 0x1c28876a, 0x3505bb44,
+    0x1c32f14d, 0x350cc3d8, 0x1c3d5c91, 0x3513ca60,
+    0x1c47c936, 0x351acedd, 0x1c52373c, 0x3521d14d,
+    0x1c5ca6a2, 0x3528d1b1, 0x1c671768, 0x352fd008,
+    0x1c71898d, 0x3536cc52, 0x1c7bfd11, 0x353dc68f,
+    0x1c8671f3, 0x3544bebf, 0x1c90e834, 0x354bb4e1,
+    0x1c9b5fd2, 0x3552a8f4, 0x1ca5d8cd, 0x35599afa,
+    0x1cb05326, 0x35608af1, 0x1cbacedb, 0x356778d9,
+    0x1cc54bec, 0x356e64b2, 0x1ccfca59, 0x35754e7c,
+    0x1cda4a21, 0x357c3636, 0x1ce4cb44, 0x35831be0,
+    0x1cef4dc2, 0x3589ff7a, 0x1cf9d199, 0x3590e104,
+    0x1d0456ca, 0x3597c07d, 0x1d0edd55, 0x359e9de5,
+    0x1d196538, 0x35a5793c, 0x1d23ee74, 0x35ac5282,
+    0x1d2e7908, 0x35b329b5, 0x1d3904f4, 0x35b9fed7,
+    0x1d439236, 0x35c0d1e7, 0x1d4e20d0, 0x35c7a2e3,
+    0x1d58b0c0, 0x35ce71ce, 0x1d634206, 0x35d53ea5,
+    0x1d6dd4a2, 0x35dc0968, 0x1d786892, 0x35e2d219,
+    0x1d82fdd8, 0x35e998b5, 0x1d8d9472, 0x35f05d3d,
+    0x1d982c60, 0x35f71fb1, 0x1da2c5a2, 0x35fde011,
+    0x1dad6036, 0x36049e5b, 0x1db7fc1e, 0x360b5a90,
+    0x1dc29958, 0x361214b0, 0x1dcd37e4, 0x3618ccba,
+    0x1dd7d7c1, 0x361f82af, 0x1de278ef, 0x3626368d,
+    0x1ded1b6e, 0x362ce855, 0x1df7bf3e, 0x36339806,
+    0x1e02645d, 0x363a45a0, 0x1e0d0acc, 0x3640f123,
+    0x1e17b28a, 0x36479a8e, 0x1e225b96, 0x364e41e2,
+    0x1e2d05f1, 0x3654e71d, 0x1e37b199, 0x365b8a41,
+    0x1e425e8f, 0x36622b4c, 0x1e4d0cd2, 0x3668ca3e,
+    0x1e57bc62, 0x366f6717, 0x1e626d3e, 0x367601d7,
+    0x1e6d1f65, 0x367c9a7e, 0x1e77d2d8, 0x3683310b,
+    0x1e828796, 0x3689c57d, 0x1e8d3d9e, 0x369057d6,
+    0x1e97f4f1, 0x3696e814, 0x1ea2ad8d, 0x369d7637,
+    0x1ead6773, 0x36a4023f, 0x1eb822a1, 0x36aa8c2c,
+    0x1ec2df18, 0x36b113fd, 0x1ecd9cd7, 0x36b799b3,
+    0x1ed85bdd, 0x36be1d4c, 0x1ee31c2b, 0x36c49ec9,
+    0x1eedddc0, 0x36cb1e2a, 0x1ef8a09b, 0x36d19b6e,
+    0x1f0364bc, 0x36d81695, 0x1f0e2a22, 0x36de8f9e,
+    0x1f18f0ce, 0x36e5068a, 0x1f23b8be, 0x36eb7b58,
+    0x1f2e81f3, 0x36f1ee09, 0x1f394c6b, 0x36f85e9a,
+    0x1f441828, 0x36fecd0e, 0x1f4ee527, 0x37053962,
+    0x1f59b369, 0x370ba398, 0x1f6482ed, 0x37120bae,
+    0x1f6f53b3, 0x371871a5, 0x1f7a25ba, 0x371ed57c,
+    0x1f84f902, 0x37253733, 0x1f8fcd8b, 0x372b96ca,
+    0x1f9aa354, 0x3731f440, 0x1fa57a5d, 0x37384f95,
+    0x1fb052a5, 0x373ea8ca, 0x1fbb2c2c, 0x3744ffdd,
+    0x1fc606f1, 0x374b54ce, 0x1fd0e2f5, 0x3751a79e,
+    0x1fdbc036, 0x3757f84c, 0x1fe69eb4, 0x375e46d8,
+    0x1ff17e70, 0x37649341, 0x1ffc5f67, 0x376add88,
+    0x2007419b, 0x377125ac, 0x2012250a, 0x37776bac,
+    0x201d09b4, 0x377daf89, 0x2027ef99, 0x3783f143,
+    0x2032d6b8, 0x378a30d8, 0x203dbf11, 0x37906e49,
+    0x2048a8a4, 0x3796a996, 0x2053936f, 0x379ce2be,
+    0x205e7f74, 0x37a319c2, 0x20696cb0, 0x37a94ea0,
+    0x20745b24, 0x37af8159, 0x207f4acf, 0x37b5b1ec,
+    0x208a3bb2, 0x37bbe05a, 0x20952dcb, 0x37c20ca1,
+    0x20a0211a, 0x37c836c2, 0x20ab159e, 0x37ce5ebd,
+    0x20b60b58, 0x37d48490, 0x20c10247, 0x37daa83d,
+    0x20cbfa6a, 0x37e0c9c3, 0x20d6f3c1, 0x37e6e921,
+    0x20e1ee4b, 0x37ed0657, 0x20ecea09, 0x37f32165,
+    0x20f7e6f9, 0x37f93a4b, 0x2102e51c, 0x37ff5109,
+    0x210de470, 0x3805659e, 0x2118e4f6, 0x380b780a,
+    0x2123e6ad, 0x3811884d, 0x212ee995, 0x38179666,
+    0x2139edac, 0x381da256, 0x2144f2f3, 0x3823ac1d,
+    0x214ff96a, 0x3829b3b9, 0x215b0110, 0x382fb92a,
+    0x216609e3, 0x3835bc71, 0x217113e5, 0x383bbd8e,
+    0x217c1f15, 0x3841bc7f, 0x21872b72, 0x3847b946,
+    0x219238fb, 0x384db3e0, 0x219d47b1, 0x3853ac4f,
+    0x21a85793, 0x3859a292, 0x21b368a0, 0x385f96a9,
+    0x21be7ad8, 0x38658894, 0x21c98e3b, 0x386b7852,
+    0x21d4a2c8, 0x387165e3, 0x21dfb87f, 0x38775147,
+    0x21eacf5f, 0x387d3a7e, 0x21f5e768, 0x38832187,
+    0x22010099, 0x38890663, 0x220c1af3, 0x388ee910,
+    0x22173674, 0x3894c98f, 0x2222531c, 0x389aa7e0,
+    0x222d70eb, 0x38a08402, 0x22388fe1, 0x38a65df6,
+    0x2243affc, 0x38ac35ba, 0x224ed13d, 0x38b20b4f,
+    0x2259f3a3, 0x38b7deb4, 0x2265172e, 0x38bdafea,
+    0x22703bdc, 0x38c37eef, 0x227b61af, 0x38c94bc4,
+    0x228688a4, 0x38cf1669, 0x2291b0bd, 0x38d4dedd,
+    0x229cd9f8, 0x38daa520, 0x22a80456, 0x38e06932,
+    0x22b32fd4, 0x38e62b13, 0x22be5c74, 0x38ebeac2,
+    0x22c98a35, 0x38f1a840, 0x22d4b916, 0x38f7638b,
+    0x22dfe917, 0x38fd1ca4, 0x22eb1a37, 0x3902d38b,
+    0x22f64c77, 0x3908883f, 0x23017fd5, 0x390e3ac0,
+    0x230cb451, 0x3913eb0e, 0x2317e9eb, 0x39199929,
+    0x232320a2, 0x391f4510, 0x232e5876, 0x3924eec3,
+    0x23399167, 0x392a9642, 0x2344cb73, 0x39303b8e,
+    0x2350069b, 0x3935dea4, 0x235b42df, 0x393b7f86,
+    0x2366803c, 0x39411e33, 0x2371beb5, 0x3946baac,
+    0x237cfe47, 0x394c54ee, 0x23883ef2, 0x3951ecfc,
+    0x239380b6, 0x395782d3, 0x239ec393, 0x395d1675,
+    0x23aa0788, 0x3962a7e0, 0x23b54c95, 0x39683715,
+    0x23c092b9, 0x396dc414, 0x23cbd9f4, 0x39734edc,
+    0x23d72245, 0x3978d76c, 0x23e26bac, 0x397e5dc6,
+    0x23edb628, 0x3983e1e8, 0x23f901ba, 0x398963d2,
+    0x24044e60, 0x398ee385, 0x240f9c1a, 0x399460ff,
+    0x241aeae8, 0x3999dc42, 0x24263ac9, 0x399f554b,
+    0x24318bbe, 0x39a4cc1c, 0x243cddc4, 0x39aa40b4,
+    0x244830dd, 0x39afb313, 0x24538507, 0x39b52339,
+    0x245eda43, 0x39ba9125, 0x246a308f, 0x39bffcd7,
+    0x247587eb, 0x39c5664f, 0x2480e057, 0x39cacd8d,
+    0x248c39d3, 0x39d03291, 0x2497945d, 0x39d5955a,
+    0x24a2eff6, 0x39daf5e8, 0x24ae4c9d, 0x39e0543c,
+    0x24b9aa52, 0x39e5b054, 0x24c50914, 0x39eb0a31,
+    0x24d068e2, 0x39f061d2, 0x24dbc9bd, 0x39f5b737,
+    0x24e72ba4, 0x39fb0a60, 0x24f28e96, 0x3a005b4d,
+    0x24fdf294, 0x3a05a9fd, 0x2509579b, 0x3a0af671,
+    0x2514bdad, 0x3a1040a8, 0x252024c9, 0x3a1588a2,
+    0x252b8cee, 0x3a1ace5f, 0x2536f61b, 0x3a2011de,
+    0x25426051, 0x3a25531f, 0x254dcb8f, 0x3a2a9223,
+    0x255937d5, 0x3a2fcee8, 0x2564a521, 0x3a350970,
+    0x25701374, 0x3a3a41b9, 0x257b82cd, 0x3a3f77c3,
+    0x2586f32c, 0x3a44ab8e, 0x25926490, 0x3a49dd1a,
+    0x259dd6f9, 0x3a4f0c67, 0x25a94a67, 0x3a543974,
+    0x25b4bed8, 0x3a596442, 0x25c0344d, 0x3a5e8cd0,
+    0x25cbaac5, 0x3a63b31d, 0x25d72240, 0x3a68d72b,
+    0x25e29abc, 0x3a6df8f8, 0x25ee143b, 0x3a731884,
+    0x25f98ebb, 0x3a7835cf, 0x26050a3b, 0x3a7d50da,
+    0x261086bc, 0x3a8269a3, 0x261c043d, 0x3a87802a,
+    0x262782be, 0x3a8c9470, 0x2633023e, 0x3a91a674,
+    0x263e82bc, 0x3a96b636, 0x264a0438, 0x3a9bc3b6,
+    0x265586b3, 0x3aa0cef3, 0x26610a2a, 0x3aa5d7ee,
+    0x266c8e9f, 0x3aaadea6, 0x26781410, 0x3aafe31b,
+    0x26839a7c, 0x3ab4e54c, 0x268f21e5, 0x3ab9e53a,
+    0x269aaa48, 0x3abee2e5, 0x26a633a6, 0x3ac3de4c,
+    0x26b1bdff, 0x3ac8d76f, 0x26bd4951, 0x3acdce4d,
+    0x26c8d59c, 0x3ad2c2e8, 0x26d462e1, 0x3ad7b53d,
+    0x26dff11d, 0x3adca54e, 0x26eb8052, 0x3ae1931a,
+    0x26f7107e, 0x3ae67ea1, 0x2702a1a1, 0x3aeb67e3,
+    0x270e33bb, 0x3af04edf, 0x2719c6cb, 0x3af53395,
+    0x27255ad1, 0x3afa1605, 0x2730efcc, 0x3afef630,
+    0x273c85bc, 0x3b03d414, 0x27481ca1, 0x3b08afb2,
+    0x2753b479, 0x3b0d8909, 0x275f4d45, 0x3b126019,
+    0x276ae704, 0x3b1734e2, 0x277681b6, 0x3b1c0764,
+    0x27821d59, 0x3b20d79e, 0x278db9ef, 0x3b25a591,
+    0x27995776, 0x3b2a713d, 0x27a4f5ed, 0x3b2f3aa0,
+    0x27b09555, 0x3b3401bb, 0x27bc35ad, 0x3b38c68e,
+    0x27c7d6f4, 0x3b3d8918, 0x27d3792b, 0x3b42495a,
+    0x27df1c50, 0x3b470753, 0x27eac063, 0x3b4bc303,
+    0x27f66564, 0x3b507c69, 0x28020b52, 0x3b553386,
+    0x280db22d, 0x3b59e85a, 0x281959f4, 0x3b5e9ae4,
+    0x282502a7, 0x3b634b23, 0x2830ac45, 0x3b67f919,
+    0x283c56cf, 0x3b6ca4c4, 0x28480243, 0x3b714e25,
+    0x2853aea1, 0x3b75f53c, 0x285f5be9, 0x3b7a9a07,
+    0x286b0a1a, 0x3b7f3c87, 0x2876b934, 0x3b83dcbc,
+    0x28826936, 0x3b887aa6, 0x288e1a20, 0x3b8d1644,
+    0x2899cbf1, 0x3b91af97, 0x28a57ea9, 0x3b96469d,
+    0x28b13248, 0x3b9adb57, 0x28bce6cd, 0x3b9f6dc5,
+    0x28c89c37, 0x3ba3fde7, 0x28d45286, 0x3ba88bbc,
+    0x28e009ba, 0x3bad1744, 0x28ebc1d3, 0x3bb1a080,
+    0x28f77acf, 0x3bb6276e, 0x290334af, 0x3bbaac0e,
+    0x290eef71, 0x3bbf2e62, 0x291aab16, 0x3bc3ae67,
+    0x2926679c, 0x3bc82c1f, 0x29322505, 0x3bcca789,
+    0x293de34e, 0x3bd120a4, 0x2949a278, 0x3bd59771,
+    0x29556282, 0x3bda0bf0, 0x2961236c, 0x3bde7e20,
+    0x296ce535, 0x3be2ee01, 0x2978a7dd, 0x3be75b93,
+    0x29846b63, 0x3bebc6d5, 0x29902fc7, 0x3bf02fc9,
+    0x299bf509, 0x3bf4966c, 0x29a7bb28, 0x3bf8fac0,
+    0x29b38223, 0x3bfd5cc4, 0x29bf49fa, 0x3c01bc78,
+    0x29cb12ad, 0x3c0619dc, 0x29d6dc3b, 0x3c0a74f0,
+    0x29e2a6a3, 0x3c0ecdb2, 0x29ee71e6, 0x3c132424,
+    0x29fa3e03, 0x3c177845, 0x2a060af9, 0x3c1bca16,
+    0x2a11d8c8, 0x3c201994, 0x2a1da770, 0x3c2466c2,
+    0x2a2976ef, 0x3c28b19e, 0x2a354746, 0x3c2cfa28,
+    0x2a411874, 0x3c314060, 0x2a4cea79, 0x3c358446,
+    0x2a58bd54, 0x3c39c5da, 0x2a649105, 0x3c3e051b,
+    0x2a70658a, 0x3c42420a, 0x2a7c3ae5, 0x3c467ca6,
+    0x2a881114, 0x3c4ab4ef, 0x2a93e817, 0x3c4eeae5,
+    0x2a9fbfed, 0x3c531e88, 0x2aab9896, 0x3c574fd8,
+    0x2ab77212, 0x3c5b7ed4, 0x2ac34c60, 0x3c5fab7c,
+    0x2acf277f, 0x3c63d5d1, 0x2adb0370, 0x3c67fdd1,
+    0x2ae6e031, 0x3c6c237e, 0x2af2bdc3, 0x3c7046d6,
+    0x2afe9c24, 0x3c7467d9, 0x2b0a7b54, 0x3c788688,
+    0x2b165b54, 0x3c7ca2e2, 0x2b223c22, 0x3c80bce7,
+    0x2b2e1dbe, 0x3c84d496, 0x2b3a0027, 0x3c88e9f1,
+    0x2b45e35d, 0x3c8cfcf6, 0x2b51c760, 0x3c910da5,
+    0x2b5dac2f, 0x3c951bff, 0x2b6991ca, 0x3c992803,
+    0x2b75782f, 0x3c9d31b0, 0x2b815f60, 0x3ca13908,
+    0x2b8d475b, 0x3ca53e09, 0x2b99301f, 0x3ca940b3,
+    0x2ba519ad, 0x3cad4107, 0x2bb10404, 0x3cb13f04,
+    0x2bbcef23, 0x3cb53aaa, 0x2bc8db0b, 0x3cb933f9,
+    0x2bd4c7ba, 0x3cbd2af0, 0x2be0b52f, 0x3cc11f90,
+    0x2beca36c, 0x3cc511d9, 0x2bf8926f, 0x3cc901c9,
+    0x2c048237, 0x3cccef62, 0x2c1072c4, 0x3cd0daa2,
+    0x2c1c6417, 0x3cd4c38b, 0x2c28562d, 0x3cd8aa1b,
+    0x2c344908, 0x3cdc8e52, 0x2c403ca5, 0x3ce07031,
+    0x2c4c3106, 0x3ce44fb7, 0x2c582629, 0x3ce82ce4,
+    0x2c641c0e, 0x3cec07b8, 0x2c7012b5, 0x3cefe032,
+    0x2c7c0a1d, 0x3cf3b653, 0x2c880245, 0x3cf78a1b,
+    0x2c93fb2e, 0x3cfb5b89, 0x2c9ff4d6, 0x3cff2a9d,
+    0x2cabef3d, 0x3d02f757, 0x2cb7ea63, 0x3d06c1b6,
+    0x2cc3e648, 0x3d0a89bc, 0x2ccfe2ea, 0x3d0e4f67,
+    0x2cdbe04a, 0x3d1212b7, 0x2ce7de66, 0x3d15d3ad,
+    0x2cf3dd3f, 0x3d199248, 0x2cffdcd4, 0x3d1d4e88,
+    0x2d0bdd25, 0x3d21086c, 0x2d17de31, 0x3d24bff6,
+    0x2d23dff7, 0x3d287523, 0x2d2fe277, 0x3d2c27f6,
+    0x2d3be5b1, 0x3d2fd86c, 0x2d47e9a5, 0x3d338687,
+    0x2d53ee51, 0x3d373245, 0x2d5ff3b5, 0x3d3adba7,
+    0x2d6bf9d1, 0x3d3e82ae, 0x2d7800a5, 0x3d422757,
+    0x2d84082f, 0x3d45c9a4, 0x2d901070, 0x3d496994,
+    0x2d9c1967, 0x3d4d0728, 0x2da82313, 0x3d50a25e,
+    0x2db42d74, 0x3d543b37, 0x2dc0388a, 0x3d57d1b3,
+    0x2dcc4454, 0x3d5b65d2, 0x2dd850d2, 0x3d5ef793,
+    0x2de45e03, 0x3d6286f6, 0x2df06be6, 0x3d6613fb,
+    0x2dfc7a7c, 0x3d699ea3, 0x2e0889c4, 0x3d6d26ec,
+    0x2e1499bd, 0x3d70acd7, 0x2e20aa67, 0x3d743064,
+    0x2e2cbbc1, 0x3d77b192, 0x2e38cdcb, 0x3d7b3061,
+    0x2e44e084, 0x3d7eacd2, 0x2e50f3ed, 0x3d8226e4,
+    0x2e5d0804, 0x3d859e96, 0x2e691cc9, 0x3d8913ea,
+    0x2e75323c, 0x3d8c86de, 0x2e81485c, 0x3d8ff772,
+    0x2e8d5f29, 0x3d9365a8, 0x2e9976a1, 0x3d96d17d,
+    0x2ea58ec6, 0x3d9a3af2, 0x2eb1a796, 0x3d9da208,
+    0x2ebdc110, 0x3da106bd, 0x2ec9db35, 0x3da46912,
+    0x2ed5f604, 0x3da7c907, 0x2ee2117c, 0x3dab269b,
+    0x2eee2d9d, 0x3dae81cf, 0x2efa4a67, 0x3db1daa2,
+    0x2f0667d9, 0x3db53113, 0x2f1285f2, 0x3db88524,
+    0x2f1ea4b2, 0x3dbbd6d4, 0x2f2ac419, 0x3dbf2622,
+    0x2f36e426, 0x3dc2730f, 0x2f4304d8, 0x3dc5bd9b,
+    0x2f4f2630, 0x3dc905c5, 0x2f5b482d, 0x3dcc4b8d,
+    0x2f676ace, 0x3dcf8ef3, 0x2f738e12, 0x3dd2cff7,
+    0x2f7fb1fa, 0x3dd60e99, 0x2f8bd685, 0x3dd94ad8,
+    0x2f97fbb2, 0x3ddc84b5, 0x2fa42181, 0x3ddfbc30,
+    0x2fb047f2, 0x3de2f148, 0x2fbc6f03, 0x3de623fd,
+    0x2fc896b5, 0x3de9544f, 0x2fd4bf08, 0x3dec823e,
+    0x2fe0e7f9, 0x3defadca, 0x2fed118a, 0x3df2d6f3,
+    0x2ff93bba, 0x3df5fdb8, 0x30056687, 0x3df9221a,
+    0x301191f3, 0x3dfc4418, 0x301dbdfb, 0x3dff63b2,
+    0x3029eaa1, 0x3e0280e9, 0x303617e2, 0x3e059bbb,
+    0x304245c0, 0x3e08b42a, 0x304e7438, 0x3e0bca34,
+    0x305aa34c, 0x3e0eddd9, 0x3066d2fa, 0x3e11ef1b,
+    0x30730342, 0x3e14fdf7, 0x307f3424, 0x3e180a6f,
+    0x308b659f, 0x3e1b1482, 0x309797b2, 0x3e1e1c30,
+    0x30a3ca5d, 0x3e212179, 0x30affda0, 0x3e24245d,
+    0x30bc317a, 0x3e2724db, 0x30c865ea, 0x3e2a22f4,
+    0x30d49af1, 0x3e2d1ea8, 0x30e0d08d, 0x3e3017f6,
+    0x30ed06bf, 0x3e330ede, 0x30f93d86, 0x3e360360,
+    0x310574e0, 0x3e38f57c, 0x3111accf, 0x3e3be532,
+    0x311de551, 0x3e3ed282, 0x312a1e66, 0x3e41bd6c,
+    0x3136580d, 0x3e44a5ef, 0x31429247, 0x3e478c0b,
+    0x314ecd11, 0x3e4a6fc1, 0x315b086d, 0x3e4d5110,
+    0x31674459, 0x3e502ff9, 0x317380d6, 0x3e530c7a,
+    0x317fbde2, 0x3e55e694, 0x318bfb7d, 0x3e58be47,
+    0x319839a6, 0x3e5b9392, 0x31a4785e, 0x3e5e6676,
+    0x31b0b7a4, 0x3e6136f3, 0x31bcf777, 0x3e640507,
+    0x31c937d6, 0x3e66d0b4, 0x31d578c2, 0x3e6999fa,
+    0x31e1ba3a, 0x3e6c60d7, 0x31edfc3d, 0x3e6f254c,
+    0x31fa3ecb, 0x3e71e759, 0x320681e3, 0x3e74a6fd,
+    0x3212c585, 0x3e77643a, 0x321f09b1, 0x3e7a1f0d,
+    0x322b4e66, 0x3e7cd778, 0x323793a3, 0x3e7f8d7b,
+    0x3243d968, 0x3e824114, 0x32501fb5, 0x3e84f245,
+    0x325c6688, 0x3e87a10c, 0x3268ade3, 0x3e8a4d6a,
+    0x3274f5c3, 0x3e8cf75f, 0x32813e2a, 0x3e8f9eeb,
+    0x328d8715, 0x3e92440d, 0x3299d085, 0x3e94e6c6,
+    0x32a61a7a, 0x3e978715, 0x32b264f2, 0x3e9a24fb,
+    0x32beafed, 0x3e9cc076, 0x32cafb6b, 0x3e9f5988,
+    0x32d7476c, 0x3ea1f02f, 0x32e393ef, 0x3ea4846c,
+    0x32efe0f2, 0x3ea7163f, 0x32fc2e77, 0x3ea9a5a8,
+    0x33087c7d, 0x3eac32a6, 0x3314cb02, 0x3eaebd3a,
+    0x33211a07, 0x3eb14563, 0x332d698a, 0x3eb3cb21,
+    0x3339b98d, 0x3eb64e75, 0x33460a0d, 0x3eb8cf5d,
+    0x33525b0b, 0x3ebb4ddb, 0x335eac86, 0x3ebdc9ed,
+    0x336afe7e, 0x3ec04394, 0x337750f2, 0x3ec2bad0,
+    0x3383a3e2, 0x3ec52fa0, 0x338ff74d, 0x3ec7a205,
+    0x339c4b32, 0x3eca11fe, 0x33a89f92, 0x3ecc7f8b,
+    0x33b4f46c, 0x3eceeaad, 0x33c149bf, 0x3ed15363,
+    0x33cd9f8b, 0x3ed3b9ad, 0x33d9f5cf, 0x3ed61d8a,
+    0x33e64c8c, 0x3ed87efc, 0x33f2a3bf, 0x3edade01,
+    0x33fefb6a, 0x3edd3a9a, 0x340b538b, 0x3edf94c7,
+    0x3417ac22, 0x3ee1ec87, 0x3424052f, 0x3ee441da,
+    0x34305eb0, 0x3ee694c1, 0x343cb8a7, 0x3ee8e53a,
+    0x34491311, 0x3eeb3347, 0x34556def, 0x3eed7ee7,
+    0x3461c940, 0x3eefc81a, 0x346e2504, 0x3ef20ee0,
+    0x347a8139, 0x3ef45338, 0x3486dde1, 0x3ef69523,
+    0x34933afa, 0x3ef8d4a1, 0x349f9884, 0x3efb11b1,
+    0x34abf67e, 0x3efd4c54, 0x34b854e7, 0x3eff8489,
+    0x34c4b3c0, 0x3f01ba50, 0x34d11308, 0x3f03eda9,
+    0x34dd72be, 0x3f061e95, 0x34e9d2e3, 0x3f084d12,
+    0x34f63374, 0x3f0a7921, 0x35029473, 0x3f0ca2c2,
+    0x350ef5de, 0x3f0ec9f5, 0x351b57b5, 0x3f10eeb9,
+    0x3527b9f7, 0x3f13110f, 0x35341ca5, 0x3f1530f7,
+    0x35407fbd, 0x3f174e70, 0x354ce33f, 0x3f19697a,
+    0x3559472b, 0x3f1b8215, 0x3565ab80, 0x3f1d9842,
+    0x3572103d, 0x3f1fabff, 0x357e7563, 0x3f21bd4e,
+    0x358adaf0, 0x3f23cc2e, 0x359740e5, 0x3f25d89e,
+    0x35a3a740, 0x3f27e29f, 0x35b00e02, 0x3f29ea31,
+    0x35bc7529, 0x3f2bef53, 0x35c8dcb6, 0x3f2df206,
+    0x35d544a7, 0x3f2ff24a, 0x35e1acfd, 0x3f31f01d,
+    0x35ee15b7, 0x3f33eb81, 0x35fa7ed4, 0x3f35e476,
+    0x3606e854, 0x3f37dafa, 0x36135237, 0x3f39cf0e,
+    0x361fbc7b, 0x3f3bc0b3, 0x362c2721, 0x3f3dafe7,
+    0x36389228, 0x3f3f9cab, 0x3644fd8f, 0x3f4186ff,
+    0x36516956, 0x3f436ee3, 0x365dd57d, 0x3f455456,
+    0x366a4203, 0x3f473759, 0x3676aee8, 0x3f4917eb,
+    0x36831c2b, 0x3f4af60d, 0x368f89cb, 0x3f4cd1be,
+    0x369bf7c9, 0x3f4eaafe, 0x36a86623, 0x3f5081cd,
+    0x36b4d4d9, 0x3f52562c, 0x36c143ec, 0x3f54281a,
+    0x36cdb359, 0x3f55f796, 0x36da2321, 0x3f57c4a2,
+    0x36e69344, 0x3f598f3c, 0x36f303c0, 0x3f5b5765,
+    0x36ff7496, 0x3f5d1d1d, 0x370be5c4, 0x3f5ee063,
+    0x3718574b, 0x3f60a138, 0x3724c92a, 0x3f625f9b,
+    0x37313b60, 0x3f641b8d, 0x373daded, 0x3f65d50d,
+    0x374a20d0, 0x3f678c1c, 0x3756940a, 0x3f6940b8,
+    0x37630799, 0x3f6af2e3, 0x376f7b7d, 0x3f6ca29c,
+    0x377befb5, 0x3f6e4fe3, 0x37886442, 0x3f6ffab8,
+    0x3794d922, 0x3f71a31b, 0x37a14e55, 0x3f73490b,
+    0x37adc3db, 0x3f74ec8a, 0x37ba39b3, 0x3f768d96,
+    0x37c6afdc, 0x3f782c30, 0x37d32657, 0x3f79c857,
+    0x37df9d22, 0x3f7b620c, 0x37ec143e, 0x3f7cf94e,
+    0x37f88ba9, 0x3f7e8e1e, 0x38050364, 0x3f80207b,
+    0x38117b6d, 0x3f81b065, 0x381df3c5, 0x3f833ddd,
+    0x382a6c6a, 0x3f84c8e2, 0x3836e55d, 0x3f865174,
+    0x38435e9d, 0x3f87d792, 0x384fd829, 0x3f895b3e,
+    0x385c5201, 0x3f8adc77, 0x3868cc24, 0x3f8c5b3d,
+    0x38754692, 0x3f8dd78f, 0x3881c14b, 0x3f8f516e,
+    0x388e3c4d, 0x3f90c8da, 0x389ab799, 0x3f923dd2,
+    0x38a7332e, 0x3f93b058, 0x38b3af0c, 0x3f952069,
+    0x38c02b31, 0x3f968e07, 0x38cca79e, 0x3f97f932,
+    0x38d92452, 0x3f9961e8, 0x38e5a14d, 0x3f9ac82c,
+    0x38f21e8e, 0x3f9c2bfb, 0x38fe9c15, 0x3f9d8d56,
+    0x390b19e0, 0x3f9eec3e, 0x391797f0, 0x3fa048b2,
+    0x39241645, 0x3fa1a2b2, 0x393094dd, 0x3fa2fa3d,
+    0x393d13b8, 0x3fa44f55, 0x394992d7, 0x3fa5a1f9,
+    0x39561237, 0x3fa6f228, 0x396291d9, 0x3fa83fe3,
+    0x396f11bc, 0x3fa98b2a, 0x397b91e1, 0x3faad3fd,
+    0x39881245, 0x3fac1a5b, 0x399492ea, 0x3fad5e45,
+    0x39a113cd, 0x3fae9fbb, 0x39ad94f0, 0x3fafdebb,
+    0x39ba1651, 0x3fb11b48, 0x39c697f0, 0x3fb2555f,
+    0x39d319cc, 0x3fb38d02, 0x39df9be6, 0x3fb4c231,
+    0x39ec1e3b, 0x3fb5f4ea, 0x39f8a0cd, 0x3fb7252f,
+    0x3a05239a, 0x3fb852ff, 0x3a11a6a3, 0x3fb97e5a,
+    0x3a1e29e5, 0x3fbaa740, 0x3a2aad62, 0x3fbbcdb1,
+    0x3a373119, 0x3fbcf1ad, 0x3a43b508, 0x3fbe1334,
+    0x3a503930, 0x3fbf3246, 0x3a5cbd91, 0x3fc04ee3,
+    0x3a694229, 0x3fc1690a, 0x3a75c6f8, 0x3fc280bc,
+    0x3a824bfd, 0x3fc395f9, 0x3a8ed139, 0x3fc4a8c1,
+    0x3a9b56ab, 0x3fc5b913, 0x3aa7dc52, 0x3fc6c6f0,
+    0x3ab4622d, 0x3fc7d258, 0x3ac0e83d, 0x3fc8db4a,
+    0x3acd6e81, 0x3fc9e1c6, 0x3ad9f4f8, 0x3fcae5cd,
+    0x3ae67ba2, 0x3fcbe75e, 0x3af3027e, 0x3fcce67a,
+    0x3aff898c, 0x3fcde320, 0x3b0c10cb, 0x3fcedd50,
+    0x3b18983b, 0x3fcfd50b, 0x3b251fdc, 0x3fd0ca4f,
+    0x3b31a7ac, 0x3fd1bd1e, 0x3b3e2fac, 0x3fd2ad77,
+    0x3b4ab7db, 0x3fd39b5a, 0x3b574039, 0x3fd486c7,
+    0x3b63c8c4, 0x3fd56fbe, 0x3b70517d, 0x3fd6563f,
+    0x3b7cda63, 0x3fd73a4a, 0x3b896375, 0x3fd81bdf,
+    0x3b95ecb4, 0x3fd8fafe, 0x3ba2761e, 0x3fd9d7a7,
+    0x3baeffb3, 0x3fdab1d9, 0x3bbb8973, 0x3fdb8996,
+    0x3bc8135c, 0x3fdc5edc, 0x3bd49d70, 0x3fdd31ac,
+    0x3be127ac, 0x3fde0205, 0x3bedb212, 0x3fdecfe8,
+    0x3bfa3c9f, 0x3fdf9b55, 0x3c06c754, 0x3fe0644b,
+    0x3c135231, 0x3fe12acb, 0x3c1fdd34, 0x3fe1eed5,
+    0x3c2c685d, 0x3fe2b067, 0x3c38f3ac, 0x3fe36f84,
+    0x3c457f21, 0x3fe42c2a, 0x3c520aba, 0x3fe4e659,
+    0x3c5e9678, 0x3fe59e12, 0x3c6b2259, 0x3fe65354,
+    0x3c77ae5e, 0x3fe7061f, 0x3c843a85, 0x3fe7b674,
+    0x3c90c6cf, 0x3fe86452, 0x3c9d533b, 0x3fe90fb9,
+    0x3ca9dfc8, 0x3fe9b8a9, 0x3cb66c77, 0x3fea5f23,
+    0x3cc2f945, 0x3feb0326, 0x3ccf8634, 0x3feba4b2,
+    0x3cdc1342, 0x3fec43c7, 0x3ce8a06f, 0x3fece065,
+    0x3cf52dbb, 0x3fed7a8c, 0x3d01bb24, 0x3fee123d,
+    0x3d0e48ab, 0x3feea776, 0x3d1ad650, 0x3fef3a39,
+    0x3d276410, 0x3fefca84, 0x3d33f1ed, 0x3ff05858,
+    0x3d407fe6, 0x3ff0e3b6, 0x3d4d0df9, 0x3ff16c9c,
+    0x3d599c28, 0x3ff1f30b, 0x3d662a70, 0x3ff27703,
+    0x3d72b8d2, 0x3ff2f884, 0x3d7f474d, 0x3ff3778e,
+    0x3d8bd5e1, 0x3ff3f420, 0x3d98648d, 0x3ff46e3c,
+    0x3da4f351, 0x3ff4e5e0, 0x3db1822c, 0x3ff55b0d,
+    0x3dbe111e, 0x3ff5cdc3, 0x3dcaa027, 0x3ff63e01,
+    0x3dd72f45, 0x3ff6abc8, 0x3de3be78, 0x3ff71718,
+    0x3df04dc0, 0x3ff77ff1, 0x3dfcdd1d, 0x3ff7e652,
+    0x3e096c8d, 0x3ff84a3c, 0x3e15fc11, 0x3ff8abae,
+    0x3e228ba7, 0x3ff90aaa, 0x3e2f1b50, 0x3ff9672d,
+    0x3e3bab0b, 0x3ff9c13a, 0x3e483ad8, 0x3ffa18cf,
+    0x3e54cab5, 0x3ffa6dec, 0x3e615aa3, 0x3ffac092,
+    0x3e6deaa1, 0x3ffb10c1, 0x3e7a7aae, 0x3ffb5e78,
+    0x3e870aca, 0x3ffba9b8, 0x3e939af5, 0x3ffbf280,
+    0x3ea02b2e, 0x3ffc38d1, 0x3eacbb74, 0x3ffc7caa,
+    0x3eb94bc8, 0x3ffcbe0c, 0x3ec5dc28, 0x3ffcfcf6,
+    0x3ed26c94, 0x3ffd3969, 0x3edefd0c, 0x3ffd7364,
+    0x3eeb8d8f, 0x3ffdaae7, 0x3ef81e1d, 0x3ffddff3,
+    0x3f04aeb5, 0x3ffe1288, 0x3f113f56, 0x3ffe42a4,
+    0x3f1dd001, 0x3ffe704a, 0x3f2a60b4, 0x3ffe9b77,
+    0x3f36f170, 0x3ffec42d, 0x3f438234, 0x3ffeea6c,
+    0x3f5012fe, 0x3fff0e32, 0x3f5ca3d0, 0x3fff2f82,
+    0x3f6934a8, 0x3fff4e59, 0x3f75c585, 0x3fff6ab9,
+    0x3f825668, 0x3fff84a1, 0x3f8ee750, 0x3fff9c12,
+    0x3f9b783c, 0x3fffb10b, 0x3fa8092c, 0x3fffc38c,
+    0x3fb49a1f, 0x3fffd396, 0x3fc12b16, 0x3fffe128,
+    0x3fcdbc0f, 0x3fffec43, 0x3fda4d09, 0x3ffff4e6,
+    0x3fe6de05, 0x3ffffb11, 0x3ff36f02, 0x3ffffec4,
 };
 
 
@@ -2134,2060 +2136,2059 @@
 */
 
 static const q31_t realCoefBQ31[8192] = {
-  0x40000000, 0x40000000, 0x400c90fe, 0x3ffffec4,
-  0x401921fb, 0x3ffffb11, 0x4025b2f7, 0x3ffff4e6,
-  0x403243f1, 0x3fffec43, 0x403ed4ea, 0x3fffe128,
-  0x404b65e1, 0x3fffd396, 0x4057f6d4, 0x3fffc38c,
-  0x406487c4, 0x3fffb10b, 0x407118b0, 0x3fff9c12,
-  0x407da998, 0x3fff84a1, 0x408a3a7b, 0x3fff6ab9,
-  0x4096cb58, 0x3fff4e59, 0x40a35c30, 0x3fff2f82,
-  0x40afed02, 0x3fff0e32, 0x40bc7dcc, 0x3ffeea6c,
-  0x40c90e90, 0x3ffec42d, 0x40d59f4c, 0x3ffe9b77,
-  0x40e22fff, 0x3ffe704a, 0x40eec0aa, 0x3ffe42a4,
-  0x40fb514b, 0x3ffe1288, 0x4107e1e3, 0x3ffddff3,
-  0x41147271, 0x3ffdaae7, 0x412102f4, 0x3ffd7364,
-  0x412d936c, 0x3ffd3969, 0x413a23d8, 0x3ffcfcf6,
-  0x4146b438, 0x3ffcbe0c, 0x4153448c, 0x3ffc7caa,
-  0x415fd4d2, 0x3ffc38d1, 0x416c650b, 0x3ffbf280,
-  0x4178f536, 0x3ffba9b8, 0x41858552, 0x3ffb5e78,
-  0x4192155f, 0x3ffb10c1, 0x419ea55d, 0x3ffac092,
-  0x41ab354b, 0x3ffa6dec, 0x41b7c528, 0x3ffa18cf,
-  0x41c454f5, 0x3ff9c13a, 0x41d0e4b0, 0x3ff9672d,
-  0x41dd7459, 0x3ff90aaa, 0x41ea03ef, 0x3ff8abae,
-  0x41f69373, 0x3ff84a3c, 0x420322e3, 0x3ff7e652,
-  0x420fb240, 0x3ff77ff1, 0x421c4188, 0x3ff71718,
-  0x4228d0bb, 0x3ff6abc8, 0x42355fd9, 0x3ff63e01,
-  0x4241eee2, 0x3ff5cdc3, 0x424e7dd4, 0x3ff55b0d,
-  0x425b0caf, 0x3ff4e5e0, 0x42679b73, 0x3ff46e3c,
-  0x42742a1f, 0x3ff3f420, 0x4280b8b3, 0x3ff3778e,
-  0x428d472e, 0x3ff2f884, 0x4299d590, 0x3ff27703,
-  0x42a663d8, 0x3ff1f30b, 0x42b2f207, 0x3ff16c9c,
-  0x42bf801a, 0x3ff0e3b6, 0x42cc0e13, 0x3ff05858,
-  0x42d89bf0, 0x3fefca84, 0x42e529b0, 0x3fef3a39,
-  0x42f1b755, 0x3feea776, 0x42fe44dc, 0x3fee123d,
-  0x430ad245, 0x3fed7a8c, 0x43175f91, 0x3fece065,
-  0x4323ecbe, 0x3fec43c7, 0x433079cc, 0x3feba4b2,
-  0x433d06bb, 0x3feb0326, 0x43499389, 0x3fea5f23,
-  0x43562038, 0x3fe9b8a9, 0x4362acc5, 0x3fe90fb9,
-  0x436f3931, 0x3fe86452, 0x437bc57b, 0x3fe7b674,
-  0x438851a2, 0x3fe7061f, 0x4394dda7, 0x3fe65354,
-  0x43a16988, 0x3fe59e12, 0x43adf546, 0x3fe4e659,
-  0x43ba80df, 0x3fe42c2a, 0x43c70c54, 0x3fe36f84,
-  0x43d397a3, 0x3fe2b067, 0x43e022cc, 0x3fe1eed5,
-  0x43ecadcf, 0x3fe12acb, 0x43f938ac, 0x3fe0644b,
-  0x4405c361, 0x3fdf9b55, 0x44124dee, 0x3fdecfe8,
-  0x441ed854, 0x3fde0205, 0x442b6290, 0x3fdd31ac,
-  0x4437eca4, 0x3fdc5edc, 0x4444768d, 0x3fdb8996,
-  0x4451004d, 0x3fdab1d9, 0x445d89e2, 0x3fd9d7a7,
-  0x446a134c, 0x3fd8fafe, 0x44769c8b, 0x3fd81bdf,
-  0x4483259d, 0x3fd73a4a, 0x448fae83, 0x3fd6563f,
-  0x449c373c, 0x3fd56fbe, 0x44a8bfc7, 0x3fd486c7,
-  0x44b54825, 0x3fd39b5a, 0x44c1d054, 0x3fd2ad77,
-  0x44ce5854, 0x3fd1bd1e, 0x44dae024, 0x3fd0ca4f,
-  0x44e767c5, 0x3fcfd50b, 0x44f3ef35, 0x3fcedd50,
-  0x45007674, 0x3fcde320, 0x450cfd82, 0x3fcce67a,
-  0x4519845e, 0x3fcbe75e, 0x45260b08, 0x3fcae5cd,
-  0x4532917f, 0x3fc9e1c6, 0x453f17c3, 0x3fc8db4a,
-  0x454b9dd3, 0x3fc7d258, 0x455823ae, 0x3fc6c6f0,
-  0x4564a955, 0x3fc5b913, 0x45712ec7, 0x3fc4a8c1,
-  0x457db403, 0x3fc395f9, 0x458a3908, 0x3fc280bc,
-  0x4596bdd7, 0x3fc1690a, 0x45a3426f, 0x3fc04ee3,
-  0x45afc6d0, 0x3fbf3246, 0x45bc4af8, 0x3fbe1334,
-  0x45c8cee7, 0x3fbcf1ad, 0x45d5529e, 0x3fbbcdb1,
-  0x45e1d61b, 0x3fbaa740, 0x45ee595d, 0x3fb97e5a,
-  0x45fadc66, 0x3fb852ff, 0x46075f33, 0x3fb7252f,
-  0x4613e1c5, 0x3fb5f4ea, 0x4620641a, 0x3fb4c231,
-  0x462ce634, 0x3fb38d02, 0x46396810, 0x3fb2555f,
-  0x4645e9af, 0x3fb11b48, 0x46526b10, 0x3fafdebb,
-  0x465eec33, 0x3fae9fbb, 0x466b6d16, 0x3fad5e45,
-  0x4677edbb, 0x3fac1a5b, 0x46846e1f, 0x3faad3fd,
-  0x4690ee44, 0x3fa98b2a, 0x469d6e27, 0x3fa83fe3,
-  0x46a9edc9, 0x3fa6f228, 0x46b66d29, 0x3fa5a1f9,
-  0x46c2ec48, 0x3fa44f55, 0x46cf6b23, 0x3fa2fa3d,
-  0x46dbe9bb, 0x3fa1a2b2, 0x46e86810, 0x3fa048b2,
-  0x46f4e620, 0x3f9eec3e, 0x470163eb, 0x3f9d8d56,
-  0x470de172, 0x3f9c2bfb, 0x471a5eb3, 0x3f9ac82c,
-  0x4726dbae, 0x3f9961e8, 0x47335862, 0x3f97f932,
-  0x473fd4cf, 0x3f968e07, 0x474c50f4, 0x3f952069,
-  0x4758ccd2, 0x3f93b058, 0x47654867, 0x3f923dd2,
-  0x4771c3b3, 0x3f90c8da, 0x477e3eb5, 0x3f8f516e,
-  0x478ab96e, 0x3f8dd78f, 0x479733dc, 0x3f8c5b3d,
-  0x47a3adff, 0x3f8adc77, 0x47b027d7, 0x3f895b3e,
-  0x47bca163, 0x3f87d792, 0x47c91aa3, 0x3f865174,
-  0x47d59396, 0x3f84c8e2, 0x47e20c3b, 0x3f833ddd,
-  0x47ee8493, 0x3f81b065, 0x47fafc9c, 0x3f80207b,
-  0x48077457, 0x3f7e8e1e, 0x4813ebc2, 0x3f7cf94e,
-  0x482062de, 0x3f7b620c, 0x482cd9a9, 0x3f79c857,
-  0x48395024, 0x3f782c30, 0x4845c64d, 0x3f768d96,
-  0x48523c25, 0x3f74ec8a, 0x485eb1ab, 0x3f73490b,
-  0x486b26de, 0x3f71a31b, 0x48779bbe, 0x3f6ffab8,
-  0x4884104b, 0x3f6e4fe3, 0x48908483, 0x3f6ca29c,
-  0x489cf867, 0x3f6af2e3, 0x48a96bf6, 0x3f6940b8,
-  0x48b5df30, 0x3f678c1c, 0x48c25213, 0x3f65d50d,
-  0x48cec4a0, 0x3f641b8d, 0x48db36d6, 0x3f625f9b,
-  0x48e7a8b5, 0x3f60a138, 0x48f41a3c, 0x3f5ee063,
-  0x49008b6a, 0x3f5d1d1d, 0x490cfc40, 0x3f5b5765,
-  0x49196cbc, 0x3f598f3c, 0x4925dcdf, 0x3f57c4a2,
-  0x49324ca7, 0x3f55f796, 0x493ebc14, 0x3f54281a,
-  0x494b2b27, 0x3f52562c, 0x495799dd, 0x3f5081cd,
-  0x49640837, 0x3f4eaafe, 0x49707635, 0x3f4cd1be,
-  0x497ce3d5, 0x3f4af60d, 0x49895118, 0x3f4917eb,
-  0x4995bdfd, 0x3f473759, 0x49a22a83, 0x3f455456,
-  0x49ae96aa, 0x3f436ee3, 0x49bb0271, 0x3f4186ff,
-  0x49c76dd8, 0x3f3f9cab, 0x49d3d8df, 0x3f3dafe7,
-  0x49e04385, 0x3f3bc0b3, 0x49ecadc9, 0x3f39cf0e,
-  0x49f917ac, 0x3f37dafa, 0x4a05812c, 0x3f35e476,
-  0x4a11ea49, 0x3f33eb81, 0x4a1e5303, 0x3f31f01d,
-  0x4a2abb59, 0x3f2ff24a, 0x4a37234a, 0x3f2df206,
-  0x4a438ad7, 0x3f2bef53, 0x4a4ff1fe, 0x3f29ea31,
-  0x4a5c58c0, 0x3f27e29f, 0x4a68bf1b, 0x3f25d89e,
-  0x4a752510, 0x3f23cc2e, 0x4a818a9d, 0x3f21bd4e,
-  0x4a8defc3, 0x3f1fabff, 0x4a9a5480, 0x3f1d9842,
-  0x4aa6b8d5, 0x3f1b8215, 0x4ab31cc1, 0x3f19697a,
-  0x4abf8043, 0x3f174e70, 0x4acbe35b, 0x3f1530f7,
-  0x4ad84609, 0x3f13110f, 0x4ae4a84b, 0x3f10eeb9,
-  0x4af10a22, 0x3f0ec9f5, 0x4afd6b8d, 0x3f0ca2c2,
-  0x4b09cc8c, 0x3f0a7921, 0x4b162d1d, 0x3f084d12,
-  0x4b228d42, 0x3f061e95, 0x4b2eecf8, 0x3f03eda9,
-  0x4b3b4c40, 0x3f01ba50, 0x4b47ab19, 0x3eff8489,
-  0x4b540982, 0x3efd4c54, 0x4b60677c, 0x3efb11b1,
-  0x4b6cc506, 0x3ef8d4a1, 0x4b79221f, 0x3ef69523,
-  0x4b857ec7, 0x3ef45338, 0x4b91dafc, 0x3ef20ee0,
-  0x4b9e36c0, 0x3eefc81a, 0x4baa9211, 0x3eed7ee7,
-  0x4bb6ecef, 0x3eeb3347, 0x4bc34759, 0x3ee8e53a,
-  0x4bcfa150, 0x3ee694c1, 0x4bdbfad1, 0x3ee441da,
-  0x4be853de, 0x3ee1ec87, 0x4bf4ac75, 0x3edf94c7,
-  0x4c010496, 0x3edd3a9a, 0x4c0d5c41, 0x3edade01,
-  0x4c19b374, 0x3ed87efc, 0x4c260a31, 0x3ed61d8a,
-  0x4c326075, 0x3ed3b9ad, 0x4c3eb641, 0x3ed15363,
-  0x4c4b0b94, 0x3eceeaad, 0x4c57606e, 0x3ecc7f8b,
-  0x4c63b4ce, 0x3eca11fe, 0x4c7008b3, 0x3ec7a205,
-  0x4c7c5c1e, 0x3ec52fa0, 0x4c88af0e, 0x3ec2bad0,
-  0x4c950182, 0x3ec04394, 0x4ca1537a, 0x3ebdc9ed,
-  0x4cada4f5, 0x3ebb4ddb, 0x4cb9f5f3, 0x3eb8cf5d,
-  0x4cc64673, 0x3eb64e75, 0x4cd29676, 0x3eb3cb21,
-  0x4cdee5f9, 0x3eb14563, 0x4ceb34fe, 0x3eaebd3a,
-  0x4cf78383, 0x3eac32a6, 0x4d03d189, 0x3ea9a5a8,
-  0x4d101f0e, 0x3ea7163f, 0x4d1c6c11, 0x3ea4846c,
-  0x4d28b894, 0x3ea1f02f, 0x4d350495, 0x3e9f5988,
-  0x4d415013, 0x3e9cc076, 0x4d4d9b0e, 0x3e9a24fb,
-  0x4d59e586, 0x3e978715, 0x4d662f7b, 0x3e94e6c6,
-  0x4d7278eb, 0x3e92440d, 0x4d7ec1d6, 0x3e8f9eeb,
-  0x4d8b0a3d, 0x3e8cf75f, 0x4d97521d, 0x3e8a4d6a,
-  0x4da39978, 0x3e87a10c, 0x4dafe04b, 0x3e84f245,
-  0x4dbc2698, 0x3e824114, 0x4dc86c5d, 0x3e7f8d7b,
-  0x4dd4b19a, 0x3e7cd778, 0x4de0f64f, 0x3e7a1f0d,
-  0x4ded3a7b, 0x3e77643a, 0x4df97e1d, 0x3e74a6fd,
-  0x4e05c135, 0x3e71e759, 0x4e1203c3, 0x3e6f254c,
-  0x4e1e45c6, 0x3e6c60d7, 0x4e2a873e, 0x3e6999fa,
-  0x4e36c82a, 0x3e66d0b4, 0x4e430889, 0x3e640507,
-  0x4e4f485c, 0x3e6136f3, 0x4e5b87a2, 0x3e5e6676,
-  0x4e67c65a, 0x3e5b9392, 0x4e740483, 0x3e58be47,
-  0x4e80421e, 0x3e55e694, 0x4e8c7f2a, 0x3e530c7a,
-  0x4e98bba7, 0x3e502ff9, 0x4ea4f793, 0x3e4d5110,
-  0x4eb132ef, 0x3e4a6fc1, 0x4ebd6db9, 0x3e478c0b,
-  0x4ec9a7f3, 0x3e44a5ef, 0x4ed5e19a, 0x3e41bd6c,
-  0x4ee21aaf, 0x3e3ed282, 0x4eee5331, 0x3e3be532,
-  0x4efa8b20, 0x3e38f57c, 0x4f06c27a, 0x3e360360,
-  0x4f12f941, 0x3e330ede, 0x4f1f2f73, 0x3e3017f6,
-  0x4f2b650f, 0x3e2d1ea8, 0x4f379a16, 0x3e2a22f4,
-  0x4f43ce86, 0x3e2724db, 0x4f500260, 0x3e24245d,
-  0x4f5c35a3, 0x3e212179, 0x4f68684e, 0x3e1e1c30,
-  0x4f749a61, 0x3e1b1482, 0x4f80cbdc, 0x3e180a6f,
-  0x4f8cfcbe, 0x3e14fdf7, 0x4f992d06, 0x3e11ef1b,
-  0x4fa55cb4, 0x3e0eddd9, 0x4fb18bc8, 0x3e0bca34,
-  0x4fbdba40, 0x3e08b42a, 0x4fc9e81e, 0x3e059bbb,
-  0x4fd6155f, 0x3e0280e9, 0x4fe24205, 0x3dff63b2,
-  0x4fee6e0d, 0x3dfc4418, 0x4ffa9979, 0x3df9221a,
-  0x5006c446, 0x3df5fdb8, 0x5012ee76, 0x3df2d6f3,
-  0x501f1807, 0x3defadca, 0x502b40f8, 0x3dec823e,
-  0x5037694b, 0x3de9544f, 0x504390fd, 0x3de623fd,
-  0x504fb80e, 0x3de2f148, 0x505bde7f, 0x3ddfbc30,
-  0x5068044e, 0x3ddc84b5, 0x5074297b, 0x3dd94ad8,
-  0x50804e06, 0x3dd60e99, 0x508c71ee, 0x3dd2cff7,
-  0x50989532, 0x3dcf8ef3, 0x50a4b7d3, 0x3dcc4b8d,
-  0x50b0d9d0, 0x3dc905c5, 0x50bcfb28, 0x3dc5bd9b,
-  0x50c91bda, 0x3dc2730f, 0x50d53be7, 0x3dbf2622,
-  0x50e15b4e, 0x3dbbd6d4, 0x50ed7a0e, 0x3db88524,
-  0x50f99827, 0x3db53113, 0x5105b599, 0x3db1daa2,
-  0x5111d263, 0x3dae81cf, 0x511dee84, 0x3dab269b,
-  0x512a09fc, 0x3da7c907, 0x513624cb, 0x3da46912,
-  0x51423ef0, 0x3da106bd, 0x514e586a, 0x3d9da208,
-  0x515a713a, 0x3d9a3af2, 0x5166895f, 0x3d96d17d,
-  0x5172a0d7, 0x3d9365a8, 0x517eb7a4, 0x3d8ff772,
-  0x518acdc4, 0x3d8c86de, 0x5196e337, 0x3d8913ea,
-  0x51a2f7fc, 0x3d859e96, 0x51af0c13, 0x3d8226e4,
-  0x51bb1f7c, 0x3d7eacd2, 0x51c73235, 0x3d7b3061,
-  0x51d3443f, 0x3d77b192, 0x51df5599, 0x3d743064,
-  0x51eb6643, 0x3d70acd7, 0x51f7763c, 0x3d6d26ec,
-  0x52038584, 0x3d699ea3, 0x520f941a, 0x3d6613fb,
-  0x521ba1fd, 0x3d6286f6, 0x5227af2e, 0x3d5ef793,
-  0x5233bbac, 0x3d5b65d2, 0x523fc776, 0x3d57d1b3,
-  0x524bd28c, 0x3d543b37, 0x5257dced, 0x3d50a25e,
-  0x5263e699, 0x3d4d0728, 0x526fef90, 0x3d496994,
-  0x527bf7d1, 0x3d45c9a4, 0x5287ff5b, 0x3d422757,
-  0x5294062f, 0x3d3e82ae, 0x52a00c4b, 0x3d3adba7,
-  0x52ac11af, 0x3d373245, 0x52b8165b, 0x3d338687,
-  0x52c41a4f, 0x3d2fd86c, 0x52d01d89, 0x3d2c27f6,
-  0x52dc2009, 0x3d287523, 0x52e821cf, 0x3d24bff6,
-  0x52f422db, 0x3d21086c, 0x5300232c, 0x3d1d4e88,
-  0x530c22c1, 0x3d199248, 0x5318219a, 0x3d15d3ad,
-  0x53241fb6, 0x3d1212b7, 0x53301d16, 0x3d0e4f67,
-  0x533c19b8, 0x3d0a89bc, 0x5348159d, 0x3d06c1b6,
-  0x535410c3, 0x3d02f757, 0x53600b2a, 0x3cff2a9d,
-  0x536c04d2, 0x3cfb5b89, 0x5377fdbb, 0x3cf78a1b,
-  0x5383f5e3, 0x3cf3b653, 0x538fed4b, 0x3cefe032,
-  0x539be3f2, 0x3cec07b8, 0x53a7d9d7, 0x3ce82ce4,
-  0x53b3cefa, 0x3ce44fb7, 0x53bfc35b, 0x3ce07031,
-  0x53cbb6f8, 0x3cdc8e52, 0x53d7a9d3, 0x3cd8aa1b,
-  0x53e39be9, 0x3cd4c38b, 0x53ef8d3c, 0x3cd0daa2,
-  0x53fb7dc9, 0x3cccef62, 0x54076d91, 0x3cc901c9,
-  0x54135c94, 0x3cc511d9, 0x541f4ad1, 0x3cc11f90,
-  0x542b3846, 0x3cbd2af0, 0x543724f5, 0x3cb933f9,
-  0x544310dd, 0x3cb53aaa, 0x544efbfc, 0x3cb13f04,
-  0x545ae653, 0x3cad4107, 0x5466cfe1, 0x3ca940b3,
-  0x5472b8a5, 0x3ca53e09, 0x547ea0a0, 0x3ca13908,
-  0x548a87d1, 0x3c9d31b0, 0x54966e36, 0x3c992803,
-  0x54a253d1, 0x3c951bff, 0x54ae38a0, 0x3c910da5,
-  0x54ba1ca3, 0x3c8cfcf6, 0x54c5ffd9, 0x3c88e9f1,
-  0x54d1e242, 0x3c84d496, 0x54ddc3de, 0x3c80bce7,
-  0x54e9a4ac, 0x3c7ca2e2, 0x54f584ac, 0x3c788688,
-  0x550163dc, 0x3c7467d9, 0x550d423d, 0x3c7046d6,
-  0x55191fcf, 0x3c6c237e, 0x5524fc90, 0x3c67fdd1,
-  0x5530d881, 0x3c63d5d1, 0x553cb3a0, 0x3c5fab7c,
-  0x55488dee, 0x3c5b7ed4, 0x5554676a, 0x3c574fd8,
-  0x55604013, 0x3c531e88, 0x556c17e9, 0x3c4eeae5,
-  0x5577eeec, 0x3c4ab4ef, 0x5583c51b, 0x3c467ca6,
-  0x558f9a76, 0x3c42420a, 0x559b6efb, 0x3c3e051b,
-  0x55a742ac, 0x3c39c5da, 0x55b31587, 0x3c358446,
-  0x55bee78c, 0x3c314060, 0x55cab8ba, 0x3c2cfa28,
-  0x55d68911, 0x3c28b19e, 0x55e25890, 0x3c2466c2,
-  0x55ee2738, 0x3c201994, 0x55f9f507, 0x3c1bca16,
-  0x5605c1fd, 0x3c177845, 0x56118e1a, 0x3c132424,
-  0x561d595d, 0x3c0ecdb2, 0x562923c5, 0x3c0a74f0,
-  0x5634ed53, 0x3c0619dc, 0x5640b606, 0x3c01bc78,
-  0x564c7ddd, 0x3bfd5cc4, 0x565844d8, 0x3bf8fac0,
-  0x56640af7, 0x3bf4966c, 0x566fd039, 0x3bf02fc9,
-  0x567b949d, 0x3bebc6d5, 0x56875823, 0x3be75b93,
-  0x56931acb, 0x3be2ee01, 0x569edc94, 0x3bde7e20,
-  0x56aa9d7e, 0x3bda0bf0, 0x56b65d88, 0x3bd59771,
-  0x56c21cb2, 0x3bd120a4, 0x56cddafb, 0x3bcca789,
-  0x56d99864, 0x3bc82c1f, 0x56e554ea, 0x3bc3ae67,
-  0x56f1108f, 0x3bbf2e62, 0x56fccb51, 0x3bbaac0e,
-  0x57088531, 0x3bb6276e, 0x57143e2d, 0x3bb1a080,
-  0x571ff646, 0x3bad1744, 0x572bad7a, 0x3ba88bbc,
-  0x573763c9, 0x3ba3fde7, 0x57431933, 0x3b9f6dc5,
-  0x574ecdb8, 0x3b9adb57, 0x575a8157, 0x3b96469d,
-  0x5766340f, 0x3b91af97, 0x5771e5e0, 0x3b8d1644,
-  0x577d96ca, 0x3b887aa6, 0x578946cc, 0x3b83dcbc,
-  0x5794f5e6, 0x3b7f3c87, 0x57a0a417, 0x3b7a9a07,
-  0x57ac515f, 0x3b75f53c, 0x57b7fdbd, 0x3b714e25,
-  0x57c3a931, 0x3b6ca4c4, 0x57cf53bb, 0x3b67f919,
-  0x57dafd59, 0x3b634b23, 0x57e6a60c, 0x3b5e9ae4,
-  0x57f24dd3, 0x3b59e85a, 0x57fdf4ae, 0x3b553386,
-  0x58099a9c, 0x3b507c69, 0x58153f9d, 0x3b4bc303,
-  0x5820e3b0, 0x3b470753, 0x582c86d5, 0x3b42495a,
-  0x5838290c, 0x3b3d8918, 0x5843ca53, 0x3b38c68e,
-  0x584f6aab, 0x3b3401bb, 0x585b0a13, 0x3b2f3aa0,
-  0x5866a88a, 0x3b2a713d, 0x58724611, 0x3b25a591,
-  0x587de2a7, 0x3b20d79e, 0x58897e4a, 0x3b1c0764,
-  0x589518fc, 0x3b1734e2, 0x58a0b2bb, 0x3b126019,
-  0x58ac4b87, 0x3b0d8909, 0x58b7e35f, 0x3b08afb2,
-  0x58c37a44, 0x3b03d414, 0x58cf1034, 0x3afef630,
-  0x58daa52f, 0x3afa1605, 0x58e63935, 0x3af53395,
-  0x58f1cc45, 0x3af04edf, 0x58fd5e5f, 0x3aeb67e3,
-  0x5908ef82, 0x3ae67ea1, 0x59147fae, 0x3ae1931a,
-  0x59200ee3, 0x3adca54e, 0x592b9d1f, 0x3ad7b53d,
-  0x59372a64, 0x3ad2c2e8, 0x5942b6af, 0x3acdce4d,
-  0x594e4201, 0x3ac8d76f, 0x5959cc5a, 0x3ac3de4c,
-  0x596555b8, 0x3abee2e5, 0x5970de1b, 0x3ab9e53a,
-  0x597c6584, 0x3ab4e54c, 0x5987ebf0, 0x3aafe31b,
-  0x59937161, 0x3aaadea6, 0x599ef5d6, 0x3aa5d7ee,
-  0x59aa794d, 0x3aa0cef3, 0x59b5fbc8, 0x3a9bc3b6,
-  0x59c17d44, 0x3a96b636, 0x59ccfdc2, 0x3a91a674,
-  0x59d87d42, 0x3a8c9470, 0x59e3fbc3, 0x3a87802a,
-  0x59ef7944, 0x3a8269a3, 0x59faf5c5, 0x3a7d50da,
-  0x5a067145, 0x3a7835cf, 0x5a11ebc5, 0x3a731884,
-  0x5a1d6544, 0x3a6df8f8, 0x5a28ddc0, 0x3a68d72b,
-  0x5a34553b, 0x3a63b31d, 0x5a3fcbb3, 0x3a5e8cd0,
-  0x5a4b4128, 0x3a596442, 0x5a56b599, 0x3a543974,
-  0x5a622907, 0x3a4f0c67, 0x5a6d9b70, 0x3a49dd1a,
-  0x5a790cd4, 0x3a44ab8e, 0x5a847d33, 0x3a3f77c3,
-  0x5a8fec8c, 0x3a3a41b9, 0x5a9b5adf, 0x3a350970,
-  0x5aa6c82b, 0x3a2fcee8, 0x5ab23471, 0x3a2a9223,
-  0x5abd9faf, 0x3a25531f, 0x5ac909e5, 0x3a2011de,
-  0x5ad47312, 0x3a1ace5f, 0x5adfdb37, 0x3a1588a2,
-  0x5aeb4253, 0x3a1040a8, 0x5af6a865, 0x3a0af671,
-  0x5b020d6c, 0x3a05a9fd, 0x5b0d716a, 0x3a005b4d,
-  0x5b18d45c, 0x39fb0a60, 0x5b243643, 0x39f5b737,
-  0x5b2f971e, 0x39f061d2, 0x5b3af6ec, 0x39eb0a31,
-  0x5b4655ae, 0x39e5b054, 0x5b51b363, 0x39e0543c,
-  0x5b5d100a, 0x39daf5e8, 0x5b686ba3, 0x39d5955a,
-  0x5b73c62d, 0x39d03291, 0x5b7f1fa9, 0x39cacd8d,
-  0x5b8a7815, 0x39c5664f, 0x5b95cf71, 0x39bffcd7,
-  0x5ba125bd, 0x39ba9125, 0x5bac7af9, 0x39b52339,
-  0x5bb7cf23, 0x39afb313, 0x5bc3223c, 0x39aa40b4,
-  0x5bce7442, 0x39a4cc1c, 0x5bd9c537, 0x399f554b,
-  0x5be51518, 0x3999dc42, 0x5bf063e6, 0x399460ff,
-  0x5bfbb1a0, 0x398ee385, 0x5c06fe46, 0x398963d2,
-  0x5c1249d8, 0x3983e1e8, 0x5c1d9454, 0x397e5dc6,
-  0x5c28ddbb, 0x3978d76c, 0x5c34260c, 0x39734edc,
-  0x5c3f6d47, 0x396dc414, 0x5c4ab36b, 0x39683715,
-  0x5c55f878, 0x3962a7e0, 0x5c613c6d, 0x395d1675,
-  0x5c6c7f4a, 0x395782d3, 0x5c77c10e, 0x3951ecfc,
-  0x5c8301b9, 0x394c54ee, 0x5c8e414b, 0x3946baac,
-  0x5c997fc4, 0x39411e33, 0x5ca4bd21, 0x393b7f86,
-  0x5caff965, 0x3935dea4, 0x5cbb348d, 0x39303b8e,
-  0x5cc66e99, 0x392a9642, 0x5cd1a78a, 0x3924eec3,
-  0x5cdcdf5e, 0x391f4510, 0x5ce81615, 0x39199929,
-  0x5cf34baf, 0x3913eb0e, 0x5cfe802b, 0x390e3ac0,
-  0x5d09b389, 0x3908883f, 0x5d14e5c9, 0x3902d38b,
-  0x5d2016e9, 0x38fd1ca4, 0x5d2b46ea, 0x38f7638b,
-  0x5d3675cb, 0x38f1a840, 0x5d41a38c, 0x38ebeac2,
-  0x5d4cd02c, 0x38e62b13, 0x5d57fbaa, 0x38e06932,
-  0x5d632608, 0x38daa520, 0x5d6e4f43, 0x38d4dedd,
-  0x5d79775c, 0x38cf1669, 0x5d849e51, 0x38c94bc4,
-  0x5d8fc424, 0x38c37eef, 0x5d9ae8d2, 0x38bdafea,
-  0x5da60c5d, 0x38b7deb4, 0x5db12ec3, 0x38b20b4f,
-  0x5dbc5004, 0x38ac35ba, 0x5dc7701f, 0x38a65df6,
-  0x5dd28f15, 0x38a08402, 0x5dddace4, 0x389aa7e0,
-  0x5de8c98c, 0x3894c98f, 0x5df3e50d, 0x388ee910,
-  0x5dfeff67, 0x38890663, 0x5e0a1898, 0x38832187,
-  0x5e1530a1, 0x387d3a7e, 0x5e204781, 0x38775147,
-  0x5e2b5d38, 0x387165e3, 0x5e3671c5, 0x386b7852,
-  0x5e418528, 0x38658894, 0x5e4c9760, 0x385f96a9,
-  0x5e57a86d, 0x3859a292, 0x5e62b84f, 0x3853ac4f,
-  0x5e6dc705, 0x384db3e0, 0x5e78d48e, 0x3847b946,
-  0x5e83e0eb, 0x3841bc7f, 0x5e8eec1b, 0x383bbd8e,
-  0x5e99f61d, 0x3835bc71, 0x5ea4fef0, 0x382fb92a,
-  0x5eb00696, 0x3829b3b9, 0x5ebb0d0d, 0x3823ac1d,
-  0x5ec61254, 0x381da256, 0x5ed1166b, 0x38179666,
-  0x5edc1953, 0x3811884d, 0x5ee71b0a, 0x380b780a,
-  0x5ef21b90, 0x3805659e, 0x5efd1ae4, 0x37ff5109,
-  0x5f081907, 0x37f93a4b, 0x5f1315f7, 0x37f32165,
-  0x5f1e11b5, 0x37ed0657, 0x5f290c3f, 0x37e6e921,
-  0x5f340596, 0x37e0c9c3, 0x5f3efdb9, 0x37daa83d,
-  0x5f49f4a8, 0x37d48490, 0x5f54ea62, 0x37ce5ebd,
-  0x5f5fdee6, 0x37c836c2, 0x5f6ad235, 0x37c20ca1,
-  0x5f75c44e, 0x37bbe05a, 0x5f80b531, 0x37b5b1ec,
-  0x5f8ba4dc, 0x37af8159, 0x5f969350, 0x37a94ea0,
-  0x5fa1808c, 0x37a319c2, 0x5fac6c91, 0x379ce2be,
-  0x5fb7575c, 0x3796a996, 0x5fc240ef, 0x37906e49,
-  0x5fcd2948, 0x378a30d8, 0x5fd81067, 0x3783f143,
-  0x5fe2f64c, 0x377daf89, 0x5feddaf6, 0x37776bac,
-  0x5ff8be65, 0x377125ac, 0x6003a099, 0x376add88,
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-  0x6ed2b027, 0x2ba15e03, 0x6edb405a, 0x2b982b97,
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-  0x6ef4e619, 0x2b7c8a3f, 0x6efd6f10, 0x2b73511c,
-  0x6f05f637, 0x2b6a164d, 0x6f0e7b8e, 0x2b60d9d0,
-  0x6f16ff14, 0x2b579ba8, 0x6f1f80ca, 0x2b4e5bd4,
-  0x6f2800af, 0x2b451a55, 0x6f307ec2, 0x2b3bd72a,
-  0x6f38fb03, 0x2b329255, 0x6f417573, 0x2b294bd5,
-  0x6f49ee0f, 0x2b2003ac, 0x6f5264da, 0x2b16b9d9,
-  0x6f5ad9d1, 0x2b0d6e5c, 0x6f634cf5, 0x2b042137,
-  0x6f6bbe45, 0x2afad269, 0x6f742dc1, 0x2af181f3,
-  0x6f7c9b69, 0x2ae82fd5, 0x6f85073c, 0x2adedc10,
-  0x6f8d713a, 0x2ad586a3, 0x6f95d963, 0x2acc2f90,
-  0x6f9e3fb6, 0x2ac2d6d6, 0x6fa6a433, 0x2ab97c77,
-  0x6faf06da, 0x2ab02071, 0x6fb767aa, 0x2aa6c2c6,
-  0x6fbfc6a3, 0x2a9d6377, 0x6fc823c5, 0x2a940283,
-  0x6fd07f0f, 0x2a8a9fea, 0x6fd8d882, 0x2a813bae,
-  0x6fe1301c, 0x2a77d5ce, 0x6fe985de, 0x2a6e6e4b,
-  0x6ff1d9c7, 0x2a650525, 0x6ffa2bd6, 0x2a5b9a5d,
-  0x70027c0c, 0x2a522df3, 0x700aca69, 0x2a48bfe7,
-  0x701316eb, 0x2a3f503a, 0x701b6193, 0x2a35deeb,
-  0x7023aa5f, 0x2a2c6bfd, 0x702bf151, 0x2a22f76e,
-  0x70343667, 0x2a19813f, 0x703c79a2, 0x2a100970,
-  0x7044bb00, 0x2a069003, 0x704cfa83, 0x29fd14f6,
-  0x70553828, 0x29f3984c, 0x705d73f0, 0x29ea1a03,
-  0x7065addb, 0x29e09a1c, 0x706de5e9, 0x29d71899,
-  0x70761c18, 0x29cd9578, 0x707e5069, 0x29c410ba,
-  0x708682dc, 0x29ba8a61, 0x708eb36f, 0x29b1026c,
-  0x7096e223, 0x29a778db, 0x709f0ef8, 0x299dedaf,
-  0x70a739ed, 0x299460e8, 0x70af6302, 0x298ad287,
-  0x70b78a36, 0x2981428c, 0x70bfaf89, 0x2977b0f7,
-  0x70c7d2fb, 0x296e1dc9, 0x70cff48c, 0x29648902,
-  0x70d8143b, 0x295af2a3, 0x70e03208, 0x29515aab,
-  0x70e84df3, 0x2947c11c, 0x70f067fb, 0x293e25f5,
-  0x70f8801f, 0x29348937, 0x71009661, 0x292aeae3,
-  0x7108aabf, 0x29214af8, 0x7110bd39, 0x2917a977,
-  0x7118cdcf, 0x290e0661, 0x7120dc80, 0x290461b5,
-  0x7128e94c, 0x28fabb75, 0x7130f433, 0x28f113a0,
-  0x7138fd35, 0x28e76a37, 0x71410450, 0x28ddbf3b,
-  0x71490986, 0x28d412ab, 0x71510cd5, 0x28ca6488,
-  0x71590e3e, 0x28c0b4d2, 0x71610dbf, 0x28b7038b,
-  0x71690b59, 0x28ad50b1, 0x7171070c, 0x28a39c46,
-  0x717900d6, 0x2899e64a, 0x7180f8b8, 0x28902ebd,
-  0x7188eeb2, 0x288675a0, 0x7190e2c3, 0x287cbaf3,
-  0x7198d4ea, 0x2872feb6, 0x71a0c528, 0x286940ea,
-  0x71a8b37c, 0x285f8190, 0x71b09fe7, 0x2855c0a6,
-  0x71b88a66, 0x284bfe2f, 0x71c072fb, 0x28423a2a,
-  0x71c859a5, 0x28387498, 0x71d03e64, 0x282ead78,
-  0x71d82137, 0x2824e4cc, 0x71e0021e, 0x281b1a94,
-  0x71e7e118, 0x28114ed0, 0x71efbe27, 0x28078181,
-  0x71f79948, 0x27fdb2a7, 0x71ff727c, 0x27f3e241,
-  0x720749c3, 0x27ea1052, 0x720f1f1c, 0x27e03cd8,
-  0x7216f287, 0x27d667d5, 0x721ec403, 0x27cc9149,
-  0x72269391, 0x27c2b934, 0x722e6130, 0x27b8df97,
-  0x72362ce0, 0x27af0472, 0x723df6a0, 0x27a527c4,
-  0x7245be70, 0x279b4990, 0x724d8450, 0x279169d5,
-  0x72554840, 0x27878893, 0x725d0a3e, 0x277da5cb,
-  0x7264ca4c, 0x2773c17d, 0x726c8868, 0x2769dbaa,
-  0x72744493, 0x275ff452, 0x727bfecc, 0x27560b76,
-  0x7283b712, 0x274c2115, 0x728b6d66, 0x27423530,
-  0x729321c7, 0x273847c8, 0x729ad435, 0x272e58dc,
-  0x72a284b0, 0x2724686e, 0x72aa3336, 0x271a767e,
-  0x72b1dfc9, 0x2710830c, 0x72b98a67, 0x27068e18,
-  0x72c13311, 0x26fc97a3, 0x72c8d9c6, 0x26f29fad,
-  0x72d07e85, 0x26e8a637, 0x72d82150, 0x26deab41,
-  0x72dfc224, 0x26d4aecb, 0x72e76102, 0x26cab0d6,
-  0x72eefdea, 0x26c0b162, 0x72f698db, 0x26b6b070,
-  0x72fe31d5, 0x26acadff, 0x7305c8d7, 0x26a2aa11,
-  0x730d5de3, 0x2698a4a6, 0x7314f0f6, 0x268e9dbd,
-  0x731c8211, 0x26849558, 0x73241134, 0x267a8b77,
-  0x732b9e5e, 0x2670801a, 0x7333298f, 0x26667342,
-  0x733ab2c6, 0x265c64ef, 0x73423a04, 0x26525521,
-  0x7349bf48, 0x264843d9, 0x73514292, 0x263e3117,
-  0x7358c3e2, 0x26341cdb, 0x73604336, 0x262a0727,
-  0x7367c090, 0x261feffa, 0x736f3bee, 0x2615d754,
-  0x7376b551, 0x260bbd37, 0x737e2cb7, 0x2601a1a2,
-  0x7385a222, 0x25f78497, 0x738d1590, 0x25ed6614,
-  0x73948701, 0x25e3461b, 0x739bf675, 0x25d924ac,
-  0x73a363ec, 0x25cf01c8, 0x73aacf65, 0x25c4dd6e,
-  0x73b238e0, 0x25bab7a0, 0x73b9a05d, 0x25b0905d,
-  0x73c105db, 0x25a667a7, 0x73c8695b, 0x259c3d7c,
-  0x73cfcadc, 0x259211df, 0x73d72a5d, 0x2587e4cf,
-  0x73de87de, 0x257db64c, 0x73e5e360, 0x25738657,
-  0x73ed3ce1, 0x256954f1, 0x73f49462, 0x255f2219,
-  0x73fbe9e2, 0x2554edd1, 0x74033d61, 0x254ab818,
-  0x740a8edf, 0x254080ef, 0x7411de5b, 0x25364857,
-  0x74192bd5, 0x252c0e4f, 0x7420774d, 0x2521d2d8,
-  0x7427c0c3, 0x251795f3, 0x742f0836, 0x250d57a0,
-  0x74364da6, 0x250317df, 0x743d9112, 0x24f8d6b0,
-  0x7444d27b, 0x24ee9415, 0x744c11e0, 0x24e4500e,
-  0x74534f41, 0x24da0a9a, 0x745a8a9d, 0x24cfc3ba,
-  0x7461c3f5, 0x24c57b6f, 0x7468fb47, 0x24bb31ba,
-  0x74703095, 0x24b0e699, 0x747763dd, 0x24a69a0f,
-  0x747e951f, 0x249c4c1b, 0x7485c45b, 0x2491fcbe,
-  0x748cf190, 0x2487abf7, 0x74941cbf, 0x247d59c8,
-  0x749b45e7, 0x24730631, 0x74a26d08, 0x2468b132,
-  0x74a99221, 0x245e5acc, 0x74b0b533, 0x245402ff,
-  0x74b7d63c, 0x2449a9cc, 0x74bef53d, 0x243f4f32,
-  0x74c61236, 0x2434f332, 0x74cd2d26, 0x242a95ce,
-  0x74d4460c, 0x24203704, 0x74db5cea, 0x2415d6d5,
-  0x74e271bd, 0x240b7543, 0x74e98487, 0x2401124d,
-  0x74f09546, 0x23f6adf3, 0x74f7a3fb, 0x23ec4837,
-  0x74feb0a5, 0x23e1e117, 0x7505bb44, 0x23d77896,
-  0x750cc3d8, 0x23cd0eb3, 0x7513ca60, 0x23c2a36f,
-  0x751acedd, 0x23b836ca, 0x7521d14d, 0x23adc8c4,
-  0x7528d1b1, 0x23a3595e, 0x752fd008, 0x2398e898,
-  0x7536cc52, 0x238e7673, 0x753dc68f, 0x238402ef,
-  0x7544bebf, 0x23798e0d, 0x754bb4e1, 0x236f17cc,
-  0x7552a8f4, 0x2364a02e, 0x75599afa, 0x235a2733,
-  0x75608af1, 0x234facda, 0x756778d9, 0x23453125,
-  0x756e64b2, 0x233ab414, 0x75754e7c, 0x233035a7,
-  0x757c3636, 0x2325b5df, 0x75831be0, 0x231b34bc,
-  0x7589ff7a, 0x2310b23e, 0x7590e104, 0x23062e67,
-  0x7597c07d, 0x22fba936, 0x759e9de5, 0x22f122ab,
-  0x75a5793c, 0x22e69ac8, 0x75ac5282, 0x22dc118c,
-  0x75b329b5, 0x22d186f8, 0x75b9fed7, 0x22c6fb0c,
-  0x75c0d1e7, 0x22bc6dca, 0x75c7a2e3, 0x22b1df30,
-  0x75ce71ce, 0x22a74f40, 0x75d53ea5, 0x229cbdfa,
-  0x75dc0968, 0x22922b5e, 0x75e2d219, 0x2287976e,
-  0x75e998b5, 0x227d0228, 0x75f05d3d, 0x22726b8e,
-  0x75f71fb1, 0x2267d3a0, 0x75fde011, 0x225d3a5e,
-  0x76049e5b, 0x22529fca, 0x760b5a90, 0x224803e2,
-  0x761214b0, 0x223d66a8, 0x7618ccba, 0x2232c81c,
-  0x761f82af, 0x2228283f, 0x7626368d, 0x221d8711,
-  0x762ce855, 0x2212e492, 0x76339806, 0x220840c2,
-  0x763a45a0, 0x21fd9ba3, 0x7640f123, 0x21f2f534,
-  0x76479a8e, 0x21e84d76, 0x764e41e2, 0x21dda46a,
-  0x7654e71d, 0x21d2fa0f, 0x765b8a41, 0x21c84e67,
-  0x76622b4c, 0x21bda171, 0x7668ca3e, 0x21b2f32e,
-  0x766f6717, 0x21a8439e, 0x767601d7, 0x219d92c2,
-  0x767c9a7e, 0x2192e09b, 0x7683310b, 0x21882d28,
-  0x7689c57d, 0x217d786a, 0x769057d6, 0x2172c262,
-  0x7696e814, 0x21680b0f, 0x769d7637, 0x215d5273,
-  0x76a4023f, 0x2152988d, 0x76aa8c2c, 0x2147dd5f,
-  0x76b113fd, 0x213d20e8, 0x76b799b3, 0x21326329,
-  0x76be1d4c, 0x2127a423, 0x76c49ec9, 0x211ce3d5,
-  0x76cb1e2a, 0x21122240, 0x76d19b6e, 0x21075f65,
-  0x76d81695, 0x20fc9b44, 0x76de8f9e, 0x20f1d5de,
-  0x76e5068a, 0x20e70f32, 0x76eb7b58, 0x20dc4742,
-  0x76f1ee09, 0x20d17e0d, 0x76f85e9a, 0x20c6b395,
-  0x76fecd0e, 0x20bbe7d8, 0x77053962, 0x20b11ad9,
-  0x770ba398, 0x20a64c97, 0x77120bae, 0x209b7d13,
-  0x771871a5, 0x2090ac4d, 0x771ed57c, 0x2085da46,
-  0x77253733, 0x207b06fe, 0x772b96ca, 0x20703275,
-  0x7731f440, 0x20655cac, 0x77384f95, 0x205a85a3,
-  0x773ea8ca, 0x204fad5b, 0x7744ffdd, 0x2044d3d4,
-  0x774b54ce, 0x2039f90f, 0x7751a79e, 0x202f1d0b,
-  0x7757f84c, 0x20243fca, 0x775e46d8, 0x2019614c,
-  0x77649341, 0x200e8190, 0x776add88, 0x2003a099,
-  0x777125ac, 0x1ff8be65, 0x77776bac, 0x1feddaf6,
-  0x777daf89, 0x1fe2f64c, 0x7783f143, 0x1fd81067,
-  0x778a30d8, 0x1fcd2948, 0x77906e49, 0x1fc240ef,
-  0x7796a996, 0x1fb7575c, 0x779ce2be, 0x1fac6c91,
-  0x77a319c2, 0x1fa1808c, 0x77a94ea0, 0x1f969350,
-  0x77af8159, 0x1f8ba4dc, 0x77b5b1ec, 0x1f80b531,
-  0x77bbe05a, 0x1f75c44e, 0x77c20ca1, 0x1f6ad235,
-  0x77c836c2, 0x1f5fdee6, 0x77ce5ebd, 0x1f54ea62,
-  0x77d48490, 0x1f49f4a8, 0x77daa83d, 0x1f3efdb9,
-  0x77e0c9c3, 0x1f340596, 0x77e6e921, 0x1f290c3f,
-  0x77ed0657, 0x1f1e11b5, 0x77f32165, 0x1f1315f7,
-  0x77f93a4b, 0x1f081907, 0x77ff5109, 0x1efd1ae4,
-  0x7805659e, 0x1ef21b90, 0x780b780a, 0x1ee71b0a,
-  0x7811884d, 0x1edc1953, 0x78179666, 0x1ed1166b,
-  0x781da256, 0x1ec61254, 0x7823ac1d, 0x1ebb0d0d,
-  0x7829b3b9, 0x1eb00696, 0x782fb92a, 0x1ea4fef0,
-  0x7835bc71, 0x1e99f61d, 0x783bbd8e, 0x1e8eec1b,
-  0x7841bc7f, 0x1e83e0eb, 0x7847b946, 0x1e78d48e,
-  0x784db3e0, 0x1e6dc705, 0x7853ac4f, 0x1e62b84f,
-  0x7859a292, 0x1e57a86d, 0x785f96a9, 0x1e4c9760,
-  0x78658894, 0x1e418528, 0x786b7852, 0x1e3671c5,
-  0x787165e3, 0x1e2b5d38, 0x78775147, 0x1e204781,
-  0x787d3a7e, 0x1e1530a1, 0x78832187, 0x1e0a1898,
-  0x78890663, 0x1dfeff67, 0x788ee910, 0x1df3e50d,
-  0x7894c98f, 0x1de8c98c, 0x789aa7e0, 0x1dddace4,
-  0x78a08402, 0x1dd28f15, 0x78a65df6, 0x1dc7701f,
-  0x78ac35ba, 0x1dbc5004, 0x78b20b4f, 0x1db12ec3,
-  0x78b7deb4, 0x1da60c5d, 0x78bdafea, 0x1d9ae8d2,
-  0x78c37eef, 0x1d8fc424, 0x78c94bc4, 0x1d849e51,
-  0x78cf1669, 0x1d79775c, 0x78d4dedd, 0x1d6e4f43,
-  0x78daa520, 0x1d632608, 0x78e06932, 0x1d57fbaa,
-  0x78e62b13, 0x1d4cd02c, 0x78ebeac2, 0x1d41a38c,
-  0x78f1a840, 0x1d3675cb, 0x78f7638b, 0x1d2b46ea,
-  0x78fd1ca4, 0x1d2016e9, 0x7902d38b, 0x1d14e5c9,
-  0x7908883f, 0x1d09b389, 0x790e3ac0, 0x1cfe802b,
-  0x7913eb0e, 0x1cf34baf, 0x79199929, 0x1ce81615,
-  0x791f4510, 0x1cdcdf5e, 0x7924eec3, 0x1cd1a78a,
-  0x792a9642, 0x1cc66e99, 0x79303b8e, 0x1cbb348d,
-  0x7935dea4, 0x1caff965, 0x793b7f86, 0x1ca4bd21,
-  0x79411e33, 0x1c997fc4, 0x7946baac, 0x1c8e414b,
-  0x794c54ee, 0x1c8301b9, 0x7951ecfc, 0x1c77c10e,
-  0x795782d3, 0x1c6c7f4a, 0x795d1675, 0x1c613c6d,
-  0x7962a7e0, 0x1c55f878, 0x79683715, 0x1c4ab36b,
-  0x796dc414, 0x1c3f6d47, 0x79734edc, 0x1c34260c,
-  0x7978d76c, 0x1c28ddbb, 0x797e5dc6, 0x1c1d9454,
-  0x7983e1e8, 0x1c1249d8, 0x798963d2, 0x1c06fe46,
-  0x798ee385, 0x1bfbb1a0, 0x799460ff, 0x1bf063e6,
-  0x7999dc42, 0x1be51518, 0x799f554b, 0x1bd9c537,
-  0x79a4cc1c, 0x1bce7442, 0x79aa40b4, 0x1bc3223c,
-  0x79afb313, 0x1bb7cf23, 0x79b52339, 0x1bac7af9,
-  0x79ba9125, 0x1ba125bd, 0x79bffcd7, 0x1b95cf71,
-  0x79c5664f, 0x1b8a7815, 0x79cacd8d, 0x1b7f1fa9,
-  0x79d03291, 0x1b73c62d, 0x79d5955a, 0x1b686ba3,
-  0x79daf5e8, 0x1b5d100a, 0x79e0543c, 0x1b51b363,
-  0x79e5b054, 0x1b4655ae, 0x79eb0a31, 0x1b3af6ec,
-  0x79f061d2, 0x1b2f971e, 0x79f5b737, 0x1b243643,
-  0x79fb0a60, 0x1b18d45c, 0x7a005b4d, 0x1b0d716a,
-  0x7a05a9fd, 0x1b020d6c, 0x7a0af671, 0x1af6a865,
-  0x7a1040a8, 0x1aeb4253, 0x7a1588a2, 0x1adfdb37,
-  0x7a1ace5f, 0x1ad47312, 0x7a2011de, 0x1ac909e5,
-  0x7a25531f, 0x1abd9faf, 0x7a2a9223, 0x1ab23471,
-  0x7a2fcee8, 0x1aa6c82b, 0x7a350970, 0x1a9b5adf,
-  0x7a3a41b9, 0x1a8fec8c, 0x7a3f77c3, 0x1a847d33,
-  0x7a44ab8e, 0x1a790cd4, 0x7a49dd1a, 0x1a6d9b70,
-  0x7a4f0c67, 0x1a622907, 0x7a543974, 0x1a56b599,
-  0x7a596442, 0x1a4b4128, 0x7a5e8cd0, 0x1a3fcbb3,
-  0x7a63b31d, 0x1a34553b, 0x7a68d72b, 0x1a28ddc0,
-  0x7a6df8f8, 0x1a1d6544, 0x7a731884, 0x1a11ebc5,
-  0x7a7835cf, 0x1a067145, 0x7a7d50da, 0x19faf5c5,
-  0x7a8269a3, 0x19ef7944, 0x7a87802a, 0x19e3fbc3,
-  0x7a8c9470, 0x19d87d42, 0x7a91a674, 0x19ccfdc2,
-  0x7a96b636, 0x19c17d44, 0x7a9bc3b6, 0x19b5fbc8,
-  0x7aa0cef3, 0x19aa794d, 0x7aa5d7ee, 0x199ef5d6,
-  0x7aaadea6, 0x19937161, 0x7aafe31b, 0x1987ebf0,
-  0x7ab4e54c, 0x197c6584, 0x7ab9e53a, 0x1970de1b,
-  0x7abee2e5, 0x196555b8, 0x7ac3de4c, 0x1959cc5a,
-  0x7ac8d76f, 0x194e4201, 0x7acdce4d, 0x1942b6af,
-  0x7ad2c2e8, 0x19372a64, 0x7ad7b53d, 0x192b9d1f,
-  0x7adca54e, 0x19200ee3, 0x7ae1931a, 0x19147fae,
-  0x7ae67ea1, 0x1908ef82, 0x7aeb67e3, 0x18fd5e5f,
-  0x7af04edf, 0x18f1cc45, 0x7af53395, 0x18e63935,
-  0x7afa1605, 0x18daa52f, 0x7afef630, 0x18cf1034,
-  0x7b03d414, 0x18c37a44, 0x7b08afb2, 0x18b7e35f,
-  0x7b0d8909, 0x18ac4b87, 0x7b126019, 0x18a0b2bb,
-  0x7b1734e2, 0x189518fc, 0x7b1c0764, 0x18897e4a,
-  0x7b20d79e, 0x187de2a7, 0x7b25a591, 0x18724611,
-  0x7b2a713d, 0x1866a88a, 0x7b2f3aa0, 0x185b0a13,
-  0x7b3401bb, 0x184f6aab, 0x7b38c68e, 0x1843ca53,
-  0x7b3d8918, 0x1838290c, 0x7b42495a, 0x182c86d5,
-  0x7b470753, 0x1820e3b0, 0x7b4bc303, 0x18153f9d,
-  0x7b507c69, 0x18099a9c, 0x7b553386, 0x17fdf4ae,
-  0x7b59e85a, 0x17f24dd3, 0x7b5e9ae4, 0x17e6a60c,
-  0x7b634b23, 0x17dafd59, 0x7b67f919, 0x17cf53bb,
-  0x7b6ca4c4, 0x17c3a931, 0x7b714e25, 0x17b7fdbd,
-  0x7b75f53c, 0x17ac515f, 0x7b7a9a07, 0x17a0a417,
-  0x7b7f3c87, 0x1794f5e6, 0x7b83dcbc, 0x178946cc,
-  0x7b887aa6, 0x177d96ca, 0x7b8d1644, 0x1771e5e0,
-  0x7b91af97, 0x1766340f, 0x7b96469d, 0x175a8157,
-  0x7b9adb57, 0x174ecdb8, 0x7b9f6dc5, 0x17431933,
-  0x7ba3fde7, 0x173763c9, 0x7ba88bbc, 0x172bad7a,
-  0x7bad1744, 0x171ff646, 0x7bb1a080, 0x17143e2d,
-  0x7bb6276e, 0x17088531, 0x7bbaac0e, 0x16fccb51,
-  0x7bbf2e62, 0x16f1108f, 0x7bc3ae67, 0x16e554ea,
-  0x7bc82c1f, 0x16d99864, 0x7bcca789, 0x16cddafb,
-  0x7bd120a4, 0x16c21cb2, 0x7bd59771, 0x16b65d88,
-  0x7bda0bf0, 0x16aa9d7e, 0x7bde7e20, 0x169edc94,
-  0x7be2ee01, 0x16931acb, 0x7be75b93, 0x16875823,
-  0x7bebc6d5, 0x167b949d, 0x7bf02fc9, 0x166fd039,
-  0x7bf4966c, 0x16640af7, 0x7bf8fac0, 0x165844d8,
-  0x7bfd5cc4, 0x164c7ddd, 0x7c01bc78, 0x1640b606,
-  0x7c0619dc, 0x1634ed53, 0x7c0a74f0, 0x162923c5,
-  0x7c0ecdb2, 0x161d595d, 0x7c132424, 0x16118e1a,
-  0x7c177845, 0x1605c1fd, 0x7c1bca16, 0x15f9f507,
-  0x7c201994, 0x15ee2738, 0x7c2466c2, 0x15e25890,
-  0x7c28b19e, 0x15d68911, 0x7c2cfa28, 0x15cab8ba,
-  0x7c314060, 0x15bee78c, 0x7c358446, 0x15b31587,
-  0x7c39c5da, 0x15a742ac, 0x7c3e051b, 0x159b6efb,
-  0x7c42420a, 0x158f9a76, 0x7c467ca6, 0x1583c51b,
-  0x7c4ab4ef, 0x1577eeec, 0x7c4eeae5, 0x156c17e9,
-  0x7c531e88, 0x15604013, 0x7c574fd8, 0x1554676a,
-  0x7c5b7ed4, 0x15488dee, 0x7c5fab7c, 0x153cb3a0,
-  0x7c63d5d1, 0x1530d881, 0x7c67fdd1, 0x1524fc90,
-  0x7c6c237e, 0x15191fcf, 0x7c7046d6, 0x150d423d,
-  0x7c7467d9, 0x150163dc, 0x7c788688, 0x14f584ac,
-  0x7c7ca2e2, 0x14e9a4ac, 0x7c80bce7, 0x14ddc3de,
-  0x7c84d496, 0x14d1e242, 0x7c88e9f1, 0x14c5ffd9,
-  0x7c8cfcf6, 0x14ba1ca3, 0x7c910da5, 0x14ae38a0,
-  0x7c951bff, 0x14a253d1, 0x7c992803, 0x14966e36,
-  0x7c9d31b0, 0x148a87d1, 0x7ca13908, 0x147ea0a0,
-  0x7ca53e09, 0x1472b8a5, 0x7ca940b3, 0x1466cfe1,
-  0x7cad4107, 0x145ae653, 0x7cb13f04, 0x144efbfc,
-  0x7cb53aaa, 0x144310dd, 0x7cb933f9, 0x143724f5,
-  0x7cbd2af0, 0x142b3846, 0x7cc11f90, 0x141f4ad1,
-  0x7cc511d9, 0x14135c94, 0x7cc901c9, 0x14076d91,
-  0x7cccef62, 0x13fb7dc9, 0x7cd0daa2, 0x13ef8d3c,
-  0x7cd4c38b, 0x13e39be9, 0x7cd8aa1b, 0x13d7a9d3,
-  0x7cdc8e52, 0x13cbb6f8, 0x7ce07031, 0x13bfc35b,
-  0x7ce44fb7, 0x13b3cefa, 0x7ce82ce4, 0x13a7d9d7,
-  0x7cec07b8, 0x139be3f2, 0x7cefe032, 0x138fed4b,
-  0x7cf3b653, 0x1383f5e3, 0x7cf78a1b, 0x1377fdbb,
-  0x7cfb5b89, 0x136c04d2, 0x7cff2a9d, 0x13600b2a,
-  0x7d02f757, 0x135410c3, 0x7d06c1b6, 0x1348159d,
-  0x7d0a89bc, 0x133c19b8, 0x7d0e4f67, 0x13301d16,
-  0x7d1212b7, 0x13241fb6, 0x7d15d3ad, 0x1318219a,
-  0x7d199248, 0x130c22c1, 0x7d1d4e88, 0x1300232c,
-  0x7d21086c, 0x12f422db, 0x7d24bff6, 0x12e821cf,
-  0x7d287523, 0x12dc2009, 0x7d2c27f6, 0x12d01d89,
-  0x7d2fd86c, 0x12c41a4f, 0x7d338687, 0x12b8165b,
-  0x7d373245, 0x12ac11af, 0x7d3adba7, 0x12a00c4b,
-  0x7d3e82ae, 0x1294062f, 0x7d422757, 0x1287ff5b,
-  0x7d45c9a4, 0x127bf7d1, 0x7d496994, 0x126fef90,
-  0x7d4d0728, 0x1263e699, 0x7d50a25e, 0x1257dced,
-  0x7d543b37, 0x124bd28c, 0x7d57d1b3, 0x123fc776,
-  0x7d5b65d2, 0x1233bbac, 0x7d5ef793, 0x1227af2e,
-  0x7d6286f6, 0x121ba1fd, 0x7d6613fb, 0x120f941a,
-  0x7d699ea3, 0x12038584, 0x7d6d26ec, 0x11f7763c,
-  0x7d70acd7, 0x11eb6643, 0x7d743064, 0x11df5599,
-  0x7d77b192, 0x11d3443f, 0x7d7b3061, 0x11c73235,
-  0x7d7eacd2, 0x11bb1f7c, 0x7d8226e4, 0x11af0c13,
-  0x7d859e96, 0x11a2f7fc, 0x7d8913ea, 0x1196e337,
-  0x7d8c86de, 0x118acdc4, 0x7d8ff772, 0x117eb7a4,
-  0x7d9365a8, 0x1172a0d7, 0x7d96d17d, 0x1166895f,
-  0x7d9a3af2, 0x115a713a, 0x7d9da208, 0x114e586a,
-  0x7da106bd, 0x11423ef0, 0x7da46912, 0x113624cb,
-  0x7da7c907, 0x112a09fc, 0x7dab269b, 0x111dee84,
-  0x7dae81cf, 0x1111d263, 0x7db1daa2, 0x1105b599,
-  0x7db53113, 0x10f99827, 0x7db88524, 0x10ed7a0e,
-  0x7dbbd6d4, 0x10e15b4e, 0x7dbf2622, 0x10d53be7,
-  0x7dc2730f, 0x10c91bda, 0x7dc5bd9b, 0x10bcfb28,
-  0x7dc905c5, 0x10b0d9d0, 0x7dcc4b8d, 0x10a4b7d3,
-  0x7dcf8ef3, 0x10989532, 0x7dd2cff7, 0x108c71ee,
-  0x7dd60e99, 0x10804e06, 0x7dd94ad8, 0x1074297b,
-  0x7ddc84b5, 0x1068044e, 0x7ddfbc30, 0x105bde7f,
-  0x7de2f148, 0x104fb80e, 0x7de623fd, 0x104390fd,
-  0x7de9544f, 0x1037694b, 0x7dec823e, 0x102b40f8,
-  0x7defadca, 0x101f1807, 0x7df2d6f3, 0x1012ee76,
-  0x7df5fdb8, 0x1006c446, 0x7df9221a, 0xffa9979,
-  0x7dfc4418, 0xfee6e0d, 0x7dff63b2, 0xfe24205,
-  0x7e0280e9, 0xfd6155f, 0x7e059bbb, 0xfc9e81e,
-  0x7e08b42a, 0xfbdba40, 0x7e0bca34, 0xfb18bc8,
-  0x7e0eddd9, 0xfa55cb4, 0x7e11ef1b, 0xf992d06,
-  0x7e14fdf7, 0xf8cfcbe, 0x7e180a6f, 0xf80cbdc,
-  0x7e1b1482, 0xf749a61, 0x7e1e1c30, 0xf68684e,
-  0x7e212179, 0xf5c35a3, 0x7e24245d, 0xf500260,
-  0x7e2724db, 0xf43ce86, 0x7e2a22f4, 0xf379a16,
-  0x7e2d1ea8, 0xf2b650f, 0x7e3017f6, 0xf1f2f73,
-  0x7e330ede, 0xf12f941, 0x7e360360, 0xf06c27a,
-  0x7e38f57c, 0xefa8b20, 0x7e3be532, 0xeee5331,
-  0x7e3ed282, 0xee21aaf, 0x7e41bd6c, 0xed5e19a,
-  0x7e44a5ef, 0xec9a7f3, 0x7e478c0b, 0xebd6db9,
-  0x7e4a6fc1, 0xeb132ef, 0x7e4d5110, 0xea4f793,
-  0x7e502ff9, 0xe98bba7, 0x7e530c7a, 0xe8c7f2a,
-  0x7e55e694, 0xe80421e, 0x7e58be47, 0xe740483,
-  0x7e5b9392, 0xe67c65a, 0x7e5e6676, 0xe5b87a2,
-  0x7e6136f3, 0xe4f485c, 0x7e640507, 0xe430889,
-  0x7e66d0b4, 0xe36c82a, 0x7e6999fa, 0xe2a873e,
-  0x7e6c60d7, 0xe1e45c6, 0x7e6f254c, 0xe1203c3,
-  0x7e71e759, 0xe05c135, 0x7e74a6fd, 0xdf97e1d,
-  0x7e77643a, 0xded3a7b, 0x7e7a1f0d, 0xde0f64f,
-  0x7e7cd778, 0xdd4b19a, 0x7e7f8d7b, 0xdc86c5d,
-  0x7e824114, 0xdbc2698, 0x7e84f245, 0xdafe04b,
-  0x7e87a10c, 0xda39978, 0x7e8a4d6a, 0xd97521d,
-  0x7e8cf75f, 0xd8b0a3d, 0x7e8f9eeb, 0xd7ec1d6,
-  0x7e92440d, 0xd7278eb, 0x7e94e6c6, 0xd662f7b,
-  0x7e978715, 0xd59e586, 0x7e9a24fb, 0xd4d9b0e,
-  0x7e9cc076, 0xd415013, 0x7e9f5988, 0xd350495,
-  0x7ea1f02f, 0xd28b894, 0x7ea4846c, 0xd1c6c11,
-  0x7ea7163f, 0xd101f0e, 0x7ea9a5a8, 0xd03d189,
-  0x7eac32a6, 0xcf78383, 0x7eaebd3a, 0xceb34fe,
-  0x7eb14563, 0xcdee5f9, 0x7eb3cb21, 0xcd29676,
-  0x7eb64e75, 0xcc64673, 0x7eb8cf5d, 0xcb9f5f3,
-  0x7ebb4ddb, 0xcada4f5, 0x7ebdc9ed, 0xca1537a,
-  0x7ec04394, 0xc950182, 0x7ec2bad0, 0xc88af0e,
-  0x7ec52fa0, 0xc7c5c1e, 0x7ec7a205, 0xc7008b3,
-  0x7eca11fe, 0xc63b4ce, 0x7ecc7f8b, 0xc57606e,
-  0x7eceeaad, 0xc4b0b94, 0x7ed15363, 0xc3eb641,
-  0x7ed3b9ad, 0xc326075, 0x7ed61d8a, 0xc260a31,
-  0x7ed87efc, 0xc19b374, 0x7edade01, 0xc0d5c41,
-  0x7edd3a9a, 0xc010496, 0x7edf94c7, 0xbf4ac75,
-  0x7ee1ec87, 0xbe853de, 0x7ee441da, 0xbdbfad1,
-  0x7ee694c1, 0xbcfa150, 0x7ee8e53a, 0xbc34759,
-  0x7eeb3347, 0xbb6ecef, 0x7eed7ee7, 0xbaa9211,
-  0x7eefc81a, 0xb9e36c0, 0x7ef20ee0, 0xb91dafc,
-  0x7ef45338, 0xb857ec7, 0x7ef69523, 0xb79221f,
-  0x7ef8d4a1, 0xb6cc506, 0x7efb11b1, 0xb60677c,
-  0x7efd4c54, 0xb540982, 0x7eff8489, 0xb47ab19,
-  0x7f01ba50, 0xb3b4c40, 0x7f03eda9, 0xb2eecf8,
-  0x7f061e95, 0xb228d42, 0x7f084d12, 0xb162d1d,
-  0x7f0a7921, 0xb09cc8c, 0x7f0ca2c2, 0xafd6b8d,
-  0x7f0ec9f5, 0xaf10a22, 0x7f10eeb9, 0xae4a84b,
-  0x7f13110f, 0xad84609, 0x7f1530f7, 0xacbe35b,
-  0x7f174e70, 0xabf8043, 0x7f19697a, 0xab31cc1,
-  0x7f1b8215, 0xaa6b8d5, 0x7f1d9842, 0xa9a5480,
-  0x7f1fabff, 0xa8defc3, 0x7f21bd4e, 0xa818a9d,
-  0x7f23cc2e, 0xa752510, 0x7f25d89e, 0xa68bf1b,
-  0x7f27e29f, 0xa5c58c0, 0x7f29ea31, 0xa4ff1fe,
-  0x7f2bef53, 0xa438ad7, 0x7f2df206, 0xa37234a,
-  0x7f2ff24a, 0xa2abb59, 0x7f31f01d, 0xa1e5303,
-  0x7f33eb81, 0xa11ea49, 0x7f35e476, 0xa05812c,
-  0x7f37dafa, 0x9f917ac, 0x7f39cf0e, 0x9ecadc9,
-  0x7f3bc0b3, 0x9e04385, 0x7f3dafe7, 0x9d3d8df,
-  0x7f3f9cab, 0x9c76dd8, 0x7f4186ff, 0x9bb0271,
-  0x7f436ee3, 0x9ae96aa, 0x7f455456, 0x9a22a83,
-  0x7f473759, 0x995bdfd, 0x7f4917eb, 0x9895118,
-  0x7f4af60d, 0x97ce3d5, 0x7f4cd1be, 0x9707635,
-  0x7f4eaafe, 0x9640837, 0x7f5081cd, 0x95799dd,
-  0x7f52562c, 0x94b2b27, 0x7f54281a, 0x93ebc14,
-  0x7f55f796, 0x9324ca7, 0x7f57c4a2, 0x925dcdf,
-  0x7f598f3c, 0x9196cbc, 0x7f5b5765, 0x90cfc40,
-  0x7f5d1d1d, 0x9008b6a, 0x7f5ee063, 0x8f41a3c,
-  0x7f60a138, 0x8e7a8b5, 0x7f625f9b, 0x8db36d6,
-  0x7f641b8d, 0x8cec4a0, 0x7f65d50d, 0x8c25213,
-  0x7f678c1c, 0x8b5df30, 0x7f6940b8, 0x8a96bf6,
-  0x7f6af2e3, 0x89cf867, 0x7f6ca29c, 0x8908483,
-  0x7f6e4fe3, 0x884104b, 0x7f6ffab8, 0x8779bbe,
-  0x7f71a31b, 0x86b26de, 0x7f73490b, 0x85eb1ab,
-  0x7f74ec8a, 0x8523c25, 0x7f768d96, 0x845c64d,
-  0x7f782c30, 0x8395024, 0x7f79c857, 0x82cd9a9,
-  0x7f7b620c, 0x82062de, 0x7f7cf94e, 0x813ebc2,
-  0x7f7e8e1e, 0x8077457, 0x7f80207b, 0x7fafc9c,
-  0x7f81b065, 0x7ee8493, 0x7f833ddd, 0x7e20c3b,
-  0x7f84c8e2, 0x7d59396, 0x7f865174, 0x7c91aa3,
-  0x7f87d792, 0x7bca163, 0x7f895b3e, 0x7b027d7,
-  0x7f8adc77, 0x7a3adff, 0x7f8c5b3d, 0x79733dc,
-  0x7f8dd78f, 0x78ab96e, 0x7f8f516e, 0x77e3eb5,
-  0x7f90c8da, 0x771c3b3, 0x7f923dd2, 0x7654867,
-  0x7f93b058, 0x758ccd2, 0x7f952069, 0x74c50f4,
-  0x7f968e07, 0x73fd4cf, 0x7f97f932, 0x7335862,
-  0x7f9961e8, 0x726dbae, 0x7f9ac82c, 0x71a5eb3,
-  0x7f9c2bfb, 0x70de172, 0x7f9d8d56, 0x70163eb,
-  0x7f9eec3e, 0x6f4e620, 0x7fa048b2, 0x6e86810,
-  0x7fa1a2b2, 0x6dbe9bb, 0x7fa2fa3d, 0x6cf6b23,
-  0x7fa44f55, 0x6c2ec48, 0x7fa5a1f9, 0x6b66d29,
-  0x7fa6f228, 0x6a9edc9, 0x7fa83fe3, 0x69d6e27,
-  0x7fa98b2a, 0x690ee44, 0x7faad3fd, 0x6846e1f,
-  0x7fac1a5b, 0x677edbb, 0x7fad5e45, 0x66b6d16,
-  0x7fae9fbb, 0x65eec33, 0x7fafdebb, 0x6526b10,
-  0x7fb11b48, 0x645e9af, 0x7fb2555f, 0x6396810,
-  0x7fb38d02, 0x62ce634, 0x7fb4c231, 0x620641a,
-  0x7fb5f4ea, 0x613e1c5, 0x7fb7252f, 0x6075f33,
-  0x7fb852ff, 0x5fadc66, 0x7fb97e5a, 0x5ee595d,
-  0x7fbaa740, 0x5e1d61b, 0x7fbbcdb1, 0x5d5529e,
-  0x7fbcf1ad, 0x5c8cee7, 0x7fbe1334, 0x5bc4af8,
-  0x7fbf3246, 0x5afc6d0, 0x7fc04ee3, 0x5a3426f,
-  0x7fc1690a, 0x596bdd7, 0x7fc280bc, 0x58a3908,
-  0x7fc395f9, 0x57db403, 0x7fc4a8c1, 0x5712ec7,
-  0x7fc5b913, 0x564a955, 0x7fc6c6f0, 0x55823ae,
-  0x7fc7d258, 0x54b9dd3, 0x7fc8db4a, 0x53f17c3,
-  0x7fc9e1c6, 0x532917f, 0x7fcae5cd, 0x5260b08,
-  0x7fcbe75e, 0x519845e, 0x7fcce67a, 0x50cfd82,
-  0x7fcde320, 0x5007674, 0x7fcedd50, 0x4f3ef35,
-  0x7fcfd50b, 0x4e767c5, 0x7fd0ca4f, 0x4dae024,
-  0x7fd1bd1e, 0x4ce5854, 0x7fd2ad77, 0x4c1d054,
-  0x7fd39b5a, 0x4b54825, 0x7fd486c7, 0x4a8bfc7,
-  0x7fd56fbe, 0x49c373c, 0x7fd6563f, 0x48fae83,
-  0x7fd73a4a, 0x483259d, 0x7fd81bdf, 0x4769c8b,
-  0x7fd8fafe, 0x46a134c, 0x7fd9d7a7, 0x45d89e2,
-  0x7fdab1d9, 0x451004d, 0x7fdb8996, 0x444768d,
-  0x7fdc5edc, 0x437eca4, 0x7fdd31ac, 0x42b6290,
-  0x7fde0205, 0x41ed854, 0x7fdecfe8, 0x4124dee,
-  0x7fdf9b55, 0x405c361, 0x7fe0644b, 0x3f938ac,
-  0x7fe12acb, 0x3ecadcf, 0x7fe1eed5, 0x3e022cc,
-  0x7fe2b067, 0x3d397a3, 0x7fe36f84, 0x3c70c54,
-  0x7fe42c2a, 0x3ba80df, 0x7fe4e659, 0x3adf546,
-  0x7fe59e12, 0x3a16988, 0x7fe65354, 0x394dda7,
-  0x7fe7061f, 0x38851a2, 0x7fe7b674, 0x37bc57b,
-  0x7fe86452, 0x36f3931, 0x7fe90fb9, 0x362acc5,
-  0x7fe9b8a9, 0x3562038, 0x7fea5f23, 0x3499389,
-  0x7feb0326, 0x33d06bb, 0x7feba4b2, 0x33079cc,
-  0x7fec43c7, 0x323ecbe, 0x7fece065, 0x3175f91,
-  0x7fed7a8c, 0x30ad245, 0x7fee123d, 0x2fe44dc,
-  0x7feea776, 0x2f1b755, 0x7fef3a39, 0x2e529b0,
-  0x7fefca84, 0x2d89bf0, 0x7ff05858, 0x2cc0e13,
-  0x7ff0e3b6, 0x2bf801a, 0x7ff16c9c, 0x2b2f207,
-  0x7ff1f30b, 0x2a663d8, 0x7ff27703, 0x299d590,
-  0x7ff2f884, 0x28d472e, 0x7ff3778e, 0x280b8b3,
-  0x7ff3f420, 0x2742a1f, 0x7ff46e3c, 0x2679b73,
-  0x7ff4e5e0, 0x25b0caf, 0x7ff55b0d, 0x24e7dd4,
-  0x7ff5cdc3, 0x241eee2, 0x7ff63e01, 0x2355fd9,
-  0x7ff6abc8, 0x228d0bb, 0x7ff71718, 0x21c4188,
-  0x7ff77ff1, 0x20fb240, 0x7ff7e652, 0x20322e3,
-  0x7ff84a3c, 0x1f69373, 0x7ff8abae, 0x1ea03ef,
-  0x7ff90aaa, 0x1dd7459, 0x7ff9672d, 0x1d0e4b0,
-  0x7ff9c13a, 0x1c454f5, 0x7ffa18cf, 0x1b7c528,
-  0x7ffa6dec, 0x1ab354b, 0x7ffac092, 0x19ea55d,
-  0x7ffb10c1, 0x192155f, 0x7ffb5e78, 0x1858552,
-  0x7ffba9b8, 0x178f536, 0x7ffbf280, 0x16c650b,
-  0x7ffc38d1, 0x15fd4d2, 0x7ffc7caa, 0x153448c,
-  0x7ffcbe0c, 0x146b438, 0x7ffcfcf6, 0x13a23d8,
-  0x7ffd3969, 0x12d936c, 0x7ffd7364, 0x12102f4,
-  0x7ffdaae7, 0x1147271, 0x7ffddff3, 0x107e1e3,
-  0x7ffe1288, 0xfb514b, 0x7ffe42a4, 0xeec0aa,
-  0x7ffe704a, 0xe22fff, 0x7ffe9b77, 0xd59f4c,
-  0x7ffec42d, 0xc90e90, 0x7ffeea6c, 0xbc7dcc,
-  0x7fff0e32, 0xafed02, 0x7fff2f82, 0xa35c30,
-  0x7fff4e59, 0x96cb58, 0x7fff6ab9, 0x8a3a7b,
-  0x7fff84a1, 0x7da998, 0x7fff9c12, 0x7118b0,
-  0x7fffb10b, 0x6487c4, 0x7fffc38c, 0x57f6d4,
-  0x7fffd396, 0x4b65e1, 0x7fffe128, 0x3ed4ea,
-  0x7fffec43, 0x3243f1, 0x7ffff4e6, 0x25b2f7,
-  0x7ffffb11, 0x1921fb, 0x7ffffec4, 0xc90fe,
-  0x7fffffff, 0x0, 0x7ffffec4, 0xfff36f02,
-  0x7ffffb11, 0xffe6de05, 0x7ffff4e6, 0xffda4d09,
-  0x7fffec43, 0xffcdbc0f, 0x7fffe128, 0xffc12b16,
-  0x7fffd396, 0xffb49a1f, 0x7fffc38c, 0xffa8092c,
-  0x7fffb10b, 0xff9b783c, 0x7fff9c12, 0xff8ee750,
-  0x7fff84a1, 0xff825668, 0x7fff6ab9, 0xff75c585,
-  0x7fff4e59, 0xff6934a8, 0x7fff2f82, 0xff5ca3d0,
-  0x7fff0e32, 0xff5012fe, 0x7ffeea6c, 0xff438234,
-  0x7ffec42d, 0xff36f170, 0x7ffe9b77, 0xff2a60b4,
-  0x7ffe704a, 0xff1dd001, 0x7ffe42a4, 0xff113f56,
-  0x7ffe1288, 0xff04aeb5, 0x7ffddff3, 0xfef81e1d,
-  0x7ffdaae7, 0xfeeb8d8f, 0x7ffd7364, 0xfedefd0c,
-  0x7ffd3969, 0xfed26c94, 0x7ffcfcf6, 0xfec5dc28,
-  0x7ffcbe0c, 0xfeb94bc8, 0x7ffc7caa, 0xfeacbb74,
-  0x7ffc38d1, 0xfea02b2e, 0x7ffbf280, 0xfe939af5,
-  0x7ffba9b8, 0xfe870aca, 0x7ffb5e78, 0xfe7a7aae,
-  0x7ffb10c1, 0xfe6deaa1, 0x7ffac092, 0xfe615aa3,
-  0x7ffa6dec, 0xfe54cab5, 0x7ffa18cf, 0xfe483ad8,
-  0x7ff9c13a, 0xfe3bab0b, 0x7ff9672d, 0xfe2f1b50,
-  0x7ff90aaa, 0xfe228ba7, 0x7ff8abae, 0xfe15fc11,
-  0x7ff84a3c, 0xfe096c8d, 0x7ff7e652, 0xfdfcdd1d,
-  0x7ff77ff1, 0xfdf04dc0, 0x7ff71718, 0xfde3be78,
-  0x7ff6abc8, 0xfdd72f45, 0x7ff63e01, 0xfdcaa027,
-  0x7ff5cdc3, 0xfdbe111e, 0x7ff55b0d, 0xfdb1822c,
-  0x7ff4e5e0, 0xfda4f351, 0x7ff46e3c, 0xfd98648d,
-  0x7ff3f420, 0xfd8bd5e1, 0x7ff3778e, 0xfd7f474d,
-  0x7ff2f884, 0xfd72b8d2, 0x7ff27703, 0xfd662a70,
-  0x7ff1f30b, 0xfd599c28, 0x7ff16c9c, 0xfd4d0df9,
-  0x7ff0e3b6, 0xfd407fe6, 0x7ff05858, 0xfd33f1ed,
-  0x7fefca84, 0xfd276410, 0x7fef3a39, 0xfd1ad650,
-  0x7feea776, 0xfd0e48ab, 0x7fee123d, 0xfd01bb24,
-  0x7fed7a8c, 0xfcf52dbb, 0x7fece065, 0xfce8a06f,
-  0x7fec43c7, 0xfcdc1342, 0x7feba4b2, 0xfccf8634,
-  0x7feb0326, 0xfcc2f945, 0x7fea5f23, 0xfcb66c77,
-  0x7fe9b8a9, 0xfca9dfc8, 0x7fe90fb9, 0xfc9d533b,
-  0x7fe86452, 0xfc90c6cf, 0x7fe7b674, 0xfc843a85,
-  0x7fe7061f, 0xfc77ae5e, 0x7fe65354, 0xfc6b2259,
-  0x7fe59e12, 0xfc5e9678, 0x7fe4e659, 0xfc520aba,
-  0x7fe42c2a, 0xfc457f21, 0x7fe36f84, 0xfc38f3ac,
-  0x7fe2b067, 0xfc2c685d, 0x7fe1eed5, 0xfc1fdd34,
-  0x7fe12acb, 0xfc135231, 0x7fe0644b, 0xfc06c754,
-  0x7fdf9b55, 0xfbfa3c9f, 0x7fdecfe8, 0xfbedb212,
-  0x7fde0205, 0xfbe127ac, 0x7fdd31ac, 0xfbd49d70,
-  0x7fdc5edc, 0xfbc8135c, 0x7fdb8996, 0xfbbb8973,
-  0x7fdab1d9, 0xfbaeffb3, 0x7fd9d7a7, 0xfba2761e,
-  0x7fd8fafe, 0xfb95ecb4, 0x7fd81bdf, 0xfb896375,
-  0x7fd73a4a, 0xfb7cda63, 0x7fd6563f, 0xfb70517d,
-  0x7fd56fbe, 0xfb63c8c4, 0x7fd486c7, 0xfb574039,
-  0x7fd39b5a, 0xfb4ab7db, 0x7fd2ad77, 0xfb3e2fac,
-  0x7fd1bd1e, 0xfb31a7ac, 0x7fd0ca4f, 0xfb251fdc,
-  0x7fcfd50b, 0xfb18983b, 0x7fcedd50, 0xfb0c10cb,
-  0x7fcde320, 0xfaff898c, 0x7fcce67a, 0xfaf3027e,
-  0x7fcbe75e, 0xfae67ba2, 0x7fcae5cd, 0xfad9f4f8,
-  0x7fc9e1c6, 0xfacd6e81, 0x7fc8db4a, 0xfac0e83d,
-  0x7fc7d258, 0xfab4622d, 0x7fc6c6f0, 0xfaa7dc52,
-  0x7fc5b913, 0xfa9b56ab, 0x7fc4a8c1, 0xfa8ed139,
-  0x7fc395f9, 0xfa824bfd, 0x7fc280bc, 0xfa75c6f8,
-  0x7fc1690a, 0xfa694229, 0x7fc04ee3, 0xfa5cbd91,
-  0x7fbf3246, 0xfa503930, 0x7fbe1334, 0xfa43b508,
-  0x7fbcf1ad, 0xfa373119, 0x7fbbcdb1, 0xfa2aad62,
-  0x7fbaa740, 0xfa1e29e5, 0x7fb97e5a, 0xfa11a6a3,
-  0x7fb852ff, 0xfa05239a, 0x7fb7252f, 0xf9f8a0cd,
-  0x7fb5f4ea, 0xf9ec1e3b, 0x7fb4c231, 0xf9df9be6,
-  0x7fb38d02, 0xf9d319cc, 0x7fb2555f, 0xf9c697f0,
-  0x7fb11b48, 0xf9ba1651, 0x7fafdebb, 0xf9ad94f0,
-  0x7fae9fbb, 0xf9a113cd, 0x7fad5e45, 0xf99492ea,
-  0x7fac1a5b, 0xf9881245, 0x7faad3fd, 0xf97b91e1,
-  0x7fa98b2a, 0xf96f11bc, 0x7fa83fe3, 0xf96291d9,
-  0x7fa6f228, 0xf9561237, 0x7fa5a1f9, 0xf94992d7,
-  0x7fa44f55, 0xf93d13b8, 0x7fa2fa3d, 0xf93094dd,
-  0x7fa1a2b2, 0xf9241645, 0x7fa048b2, 0xf91797f0,
-  0x7f9eec3e, 0xf90b19e0, 0x7f9d8d56, 0xf8fe9c15,
-  0x7f9c2bfb, 0xf8f21e8e, 0x7f9ac82c, 0xf8e5a14d,
-  0x7f9961e8, 0xf8d92452, 0x7f97f932, 0xf8cca79e,
-  0x7f968e07, 0xf8c02b31, 0x7f952069, 0xf8b3af0c,
-  0x7f93b058, 0xf8a7332e, 0x7f923dd2, 0xf89ab799,
-  0x7f90c8da, 0xf88e3c4d, 0x7f8f516e, 0xf881c14b,
-  0x7f8dd78f, 0xf8754692, 0x7f8c5b3d, 0xf868cc24,
-  0x7f8adc77, 0xf85c5201, 0x7f895b3e, 0xf84fd829,
-  0x7f87d792, 0xf8435e9d, 0x7f865174, 0xf836e55d,
-  0x7f84c8e2, 0xf82a6c6a, 0x7f833ddd, 0xf81df3c5,
-  0x7f81b065, 0xf8117b6d, 0x7f80207b, 0xf8050364,
-  0x7f7e8e1e, 0xf7f88ba9, 0x7f7cf94e, 0xf7ec143e,
-  0x7f7b620c, 0xf7df9d22, 0x7f79c857, 0xf7d32657,
-  0x7f782c30, 0xf7c6afdc, 0x7f768d96, 0xf7ba39b3,
-  0x7f74ec8a, 0xf7adc3db, 0x7f73490b, 0xf7a14e55,
-  0x7f71a31b, 0xf794d922, 0x7f6ffab8, 0xf7886442,
-  0x7f6e4fe3, 0xf77befb5, 0x7f6ca29c, 0xf76f7b7d,
-  0x7f6af2e3, 0xf7630799, 0x7f6940b8, 0xf756940a,
-  0x7f678c1c, 0xf74a20d0, 0x7f65d50d, 0xf73daded,
-  0x7f641b8d, 0xf7313b60, 0x7f625f9b, 0xf724c92a,
-  0x7f60a138, 0xf718574b, 0x7f5ee063, 0xf70be5c4,
-  0x7f5d1d1d, 0xf6ff7496, 0x7f5b5765, 0xf6f303c0,
-  0x7f598f3c, 0xf6e69344, 0x7f57c4a2, 0xf6da2321,
-  0x7f55f796, 0xf6cdb359, 0x7f54281a, 0xf6c143ec,
-  0x7f52562c, 0xf6b4d4d9, 0x7f5081cd, 0xf6a86623,
-  0x7f4eaafe, 0xf69bf7c9, 0x7f4cd1be, 0xf68f89cb,
-  0x7f4af60d, 0xf6831c2b, 0x7f4917eb, 0xf676aee8,
-  0x7f473759, 0xf66a4203, 0x7f455456, 0xf65dd57d,
-  0x7f436ee3, 0xf6516956, 0x7f4186ff, 0xf644fd8f,
-  0x7f3f9cab, 0xf6389228, 0x7f3dafe7, 0xf62c2721,
-  0x7f3bc0b3, 0xf61fbc7b, 0x7f39cf0e, 0xf6135237,
-  0x7f37dafa, 0xf606e854, 0x7f35e476, 0xf5fa7ed4,
-  0x7f33eb81, 0xf5ee15b7, 0x7f31f01d, 0xf5e1acfd,
-  0x7f2ff24a, 0xf5d544a7, 0x7f2df206, 0xf5c8dcb6,
-  0x7f2bef53, 0xf5bc7529, 0x7f29ea31, 0xf5b00e02,
-  0x7f27e29f, 0xf5a3a740, 0x7f25d89e, 0xf59740e5,
-  0x7f23cc2e, 0xf58adaf0, 0x7f21bd4e, 0xf57e7563,
-  0x7f1fabff, 0xf572103d, 0x7f1d9842, 0xf565ab80,
-  0x7f1b8215, 0xf559472b, 0x7f19697a, 0xf54ce33f,
-  0x7f174e70, 0xf5407fbd, 0x7f1530f7, 0xf5341ca5,
-  0x7f13110f, 0xf527b9f7, 0x7f10eeb9, 0xf51b57b5,
-  0x7f0ec9f5, 0xf50ef5de, 0x7f0ca2c2, 0xf5029473,
-  0x7f0a7921, 0xf4f63374, 0x7f084d12, 0xf4e9d2e3,
-  0x7f061e95, 0xf4dd72be, 0x7f03eda9, 0xf4d11308,
-  0x7f01ba50, 0xf4c4b3c0, 0x7eff8489, 0xf4b854e7,
-  0x7efd4c54, 0xf4abf67e, 0x7efb11b1, 0xf49f9884,
-  0x7ef8d4a1, 0xf4933afa, 0x7ef69523, 0xf486dde1,
-  0x7ef45338, 0xf47a8139, 0x7ef20ee0, 0xf46e2504,
-  0x7eefc81a, 0xf461c940, 0x7eed7ee7, 0xf4556def,
-  0x7eeb3347, 0xf4491311, 0x7ee8e53a, 0xf43cb8a7,
-  0x7ee694c1, 0xf4305eb0, 0x7ee441da, 0xf424052f,
-  0x7ee1ec87, 0xf417ac22, 0x7edf94c7, 0xf40b538b,
-  0x7edd3a9a, 0xf3fefb6a, 0x7edade01, 0xf3f2a3bf,
-  0x7ed87efc, 0xf3e64c8c, 0x7ed61d8a, 0xf3d9f5cf,
-  0x7ed3b9ad, 0xf3cd9f8b, 0x7ed15363, 0xf3c149bf,
-  0x7eceeaad, 0xf3b4f46c, 0x7ecc7f8b, 0xf3a89f92,
-  0x7eca11fe, 0xf39c4b32, 0x7ec7a205, 0xf38ff74d,
-  0x7ec52fa0, 0xf383a3e2, 0x7ec2bad0, 0xf37750f2,
-  0x7ec04394, 0xf36afe7e, 0x7ebdc9ed, 0xf35eac86,
-  0x7ebb4ddb, 0xf3525b0b, 0x7eb8cf5d, 0xf3460a0d,
-  0x7eb64e75, 0xf339b98d, 0x7eb3cb21, 0xf32d698a,
-  0x7eb14563, 0xf3211a07, 0x7eaebd3a, 0xf314cb02,
-  0x7eac32a6, 0xf3087c7d, 0x7ea9a5a8, 0xf2fc2e77,
-  0x7ea7163f, 0xf2efe0f2, 0x7ea4846c, 0xf2e393ef,
-  0x7ea1f02f, 0xf2d7476c, 0x7e9f5988, 0xf2cafb6b,
-  0x7e9cc076, 0xf2beafed, 0x7e9a24fb, 0xf2b264f2,
-  0x7e978715, 0xf2a61a7a, 0x7e94e6c6, 0xf299d085,
-  0x7e92440d, 0xf28d8715, 0x7e8f9eeb, 0xf2813e2a,
-  0x7e8cf75f, 0xf274f5c3, 0x7e8a4d6a, 0xf268ade3,
-  0x7e87a10c, 0xf25c6688, 0x7e84f245, 0xf2501fb5,
-  0x7e824114, 0xf243d968, 0x7e7f8d7b, 0xf23793a3,
-  0x7e7cd778, 0xf22b4e66, 0x7e7a1f0d, 0xf21f09b1,
-  0x7e77643a, 0xf212c585, 0x7e74a6fd, 0xf20681e3,
-  0x7e71e759, 0xf1fa3ecb, 0x7e6f254c, 0xf1edfc3d,
-  0x7e6c60d7, 0xf1e1ba3a, 0x7e6999fa, 0xf1d578c2,
-  0x7e66d0b4, 0xf1c937d6, 0x7e640507, 0xf1bcf777,
-  0x7e6136f3, 0xf1b0b7a4, 0x7e5e6676, 0xf1a4785e,
-  0x7e5b9392, 0xf19839a6, 0x7e58be47, 0xf18bfb7d,
-  0x7e55e694, 0xf17fbde2, 0x7e530c7a, 0xf17380d6,
-  0x7e502ff9, 0xf1674459, 0x7e4d5110, 0xf15b086d,
-  0x7e4a6fc1, 0xf14ecd11, 0x7e478c0b, 0xf1429247,
-  0x7e44a5ef, 0xf136580d, 0x7e41bd6c, 0xf12a1e66,
-  0x7e3ed282, 0xf11de551, 0x7e3be532, 0xf111accf,
-  0x7e38f57c, 0xf10574e0, 0x7e360360, 0xf0f93d86,
-  0x7e330ede, 0xf0ed06bf, 0x7e3017f6, 0xf0e0d08d,
-  0x7e2d1ea8, 0xf0d49af1, 0x7e2a22f4, 0xf0c865ea,
-  0x7e2724db, 0xf0bc317a, 0x7e24245d, 0xf0affda0,
-  0x7e212179, 0xf0a3ca5d, 0x7e1e1c30, 0xf09797b2,
-  0x7e1b1482, 0xf08b659f, 0x7e180a6f, 0xf07f3424,
-  0x7e14fdf7, 0xf0730342, 0x7e11ef1b, 0xf066d2fa,
-  0x7e0eddd9, 0xf05aa34c, 0x7e0bca34, 0xf04e7438,
-  0x7e08b42a, 0xf04245c0, 0x7e059bbb, 0xf03617e2,
-  0x7e0280e9, 0xf029eaa1, 0x7dff63b2, 0xf01dbdfb,
-  0x7dfc4418, 0xf01191f3, 0x7df9221a, 0xf0056687,
-  0x7df5fdb8, 0xeff93bba, 0x7df2d6f3, 0xefed118a,
-  0x7defadca, 0xefe0e7f9, 0x7dec823e, 0xefd4bf08,
-  0x7de9544f, 0xefc896b5, 0x7de623fd, 0xefbc6f03,
-  0x7de2f148, 0xefb047f2, 0x7ddfbc30, 0xefa42181,
-  0x7ddc84b5, 0xef97fbb2, 0x7dd94ad8, 0xef8bd685,
-  0x7dd60e99, 0xef7fb1fa, 0x7dd2cff7, 0xef738e12,
-  0x7dcf8ef3, 0xef676ace, 0x7dcc4b8d, 0xef5b482d,
-  0x7dc905c5, 0xef4f2630, 0x7dc5bd9b, 0xef4304d8,
-  0x7dc2730f, 0xef36e426, 0x7dbf2622, 0xef2ac419,
-  0x7dbbd6d4, 0xef1ea4b2, 0x7db88524, 0xef1285f2,
-  0x7db53113, 0xef0667d9, 0x7db1daa2, 0xeefa4a67,
-  0x7dae81cf, 0xeeee2d9d, 0x7dab269b, 0xeee2117c,
-  0x7da7c907, 0xeed5f604, 0x7da46912, 0xeec9db35,
-  0x7da106bd, 0xeebdc110, 0x7d9da208, 0xeeb1a796,
-  0x7d9a3af2, 0xeea58ec6, 0x7d96d17d, 0xee9976a1,
-  0x7d9365a8, 0xee8d5f29, 0x7d8ff772, 0xee81485c,
-  0x7d8c86de, 0xee75323c, 0x7d8913ea, 0xee691cc9,
-  0x7d859e96, 0xee5d0804, 0x7d8226e4, 0xee50f3ed,
-  0x7d7eacd2, 0xee44e084, 0x7d7b3061, 0xee38cdcb,
-  0x7d77b192, 0xee2cbbc1, 0x7d743064, 0xee20aa67,
-  0x7d70acd7, 0xee1499bd, 0x7d6d26ec, 0xee0889c4,
-  0x7d699ea3, 0xedfc7a7c, 0x7d6613fb, 0xedf06be6,
-  0x7d6286f6, 0xede45e03, 0x7d5ef793, 0xedd850d2,
-  0x7d5b65d2, 0xedcc4454, 0x7d57d1b3, 0xedc0388a,
-  0x7d543b37, 0xedb42d74, 0x7d50a25e, 0xeda82313,
-  0x7d4d0728, 0xed9c1967, 0x7d496994, 0xed901070,
-  0x7d45c9a4, 0xed84082f, 0x7d422757, 0xed7800a5,
-  0x7d3e82ae, 0xed6bf9d1, 0x7d3adba7, 0xed5ff3b5,
-  0x7d373245, 0xed53ee51, 0x7d338687, 0xed47e9a5,
-  0x7d2fd86c, 0xed3be5b1, 0x7d2c27f6, 0xed2fe277,
-  0x7d287523, 0xed23dff7, 0x7d24bff6, 0xed17de31,
-  0x7d21086c, 0xed0bdd25, 0x7d1d4e88, 0xecffdcd4,
-  0x7d199248, 0xecf3dd3f, 0x7d15d3ad, 0xece7de66,
-  0x7d1212b7, 0xecdbe04a, 0x7d0e4f67, 0xeccfe2ea,
-  0x7d0a89bc, 0xecc3e648, 0x7d06c1b6, 0xecb7ea63,
-  0x7d02f757, 0xecabef3d, 0x7cff2a9d, 0xec9ff4d6,
-  0x7cfb5b89, 0xec93fb2e, 0x7cf78a1b, 0xec880245,
-  0x7cf3b653, 0xec7c0a1d, 0x7cefe032, 0xec7012b5,
-  0x7cec07b8, 0xec641c0e, 0x7ce82ce4, 0xec582629,
-  0x7ce44fb7, 0xec4c3106, 0x7ce07031, 0xec403ca5,
-  0x7cdc8e52, 0xec344908, 0x7cd8aa1b, 0xec28562d,
-  0x7cd4c38b, 0xec1c6417, 0x7cd0daa2, 0xec1072c4,
-  0x7cccef62, 0xec048237, 0x7cc901c9, 0xebf8926f,
-  0x7cc511d9, 0xebeca36c, 0x7cc11f90, 0xebe0b52f,
-  0x7cbd2af0, 0xebd4c7ba, 0x7cb933f9, 0xebc8db0b,
-  0x7cb53aaa, 0xebbcef23, 0x7cb13f04, 0xebb10404,
-  0x7cad4107, 0xeba519ad, 0x7ca940b3, 0xeb99301f,
-  0x7ca53e09, 0xeb8d475b, 0x7ca13908, 0xeb815f60,
-  0x7c9d31b0, 0xeb75782f, 0x7c992803, 0xeb6991ca,
-  0x7c951bff, 0xeb5dac2f, 0x7c910da5, 0xeb51c760,
-  0x7c8cfcf6, 0xeb45e35d, 0x7c88e9f1, 0xeb3a0027,
-  0x7c84d496, 0xeb2e1dbe, 0x7c80bce7, 0xeb223c22,
-  0x7c7ca2e2, 0xeb165b54, 0x7c788688, 0xeb0a7b54,
-  0x7c7467d9, 0xeafe9c24, 0x7c7046d6, 0xeaf2bdc3,
-  0x7c6c237e, 0xeae6e031, 0x7c67fdd1, 0xeadb0370,
-  0x7c63d5d1, 0xeacf277f, 0x7c5fab7c, 0xeac34c60,
-  0x7c5b7ed4, 0xeab77212, 0x7c574fd8, 0xeaab9896,
-  0x7c531e88, 0xea9fbfed, 0x7c4eeae5, 0xea93e817,
-  0x7c4ab4ef, 0xea881114, 0x7c467ca6, 0xea7c3ae5,
-  0x7c42420a, 0xea70658a, 0x7c3e051b, 0xea649105,
-  0x7c39c5da, 0xea58bd54, 0x7c358446, 0xea4cea79,
-  0x7c314060, 0xea411874, 0x7c2cfa28, 0xea354746,
-  0x7c28b19e, 0xea2976ef, 0x7c2466c2, 0xea1da770,
-  0x7c201994, 0xea11d8c8, 0x7c1bca16, 0xea060af9,
-  0x7c177845, 0xe9fa3e03, 0x7c132424, 0xe9ee71e6,
-  0x7c0ecdb2, 0xe9e2a6a3, 0x7c0a74f0, 0xe9d6dc3b,
-  0x7c0619dc, 0xe9cb12ad, 0x7c01bc78, 0xe9bf49fa,
-  0x7bfd5cc4, 0xe9b38223, 0x7bf8fac0, 0xe9a7bb28,
-  0x7bf4966c, 0xe99bf509, 0x7bf02fc9, 0xe9902fc7,
-  0x7bebc6d5, 0xe9846b63, 0x7be75b93, 0xe978a7dd,
-  0x7be2ee01, 0xe96ce535, 0x7bde7e20, 0xe961236c,
-  0x7bda0bf0, 0xe9556282, 0x7bd59771, 0xe949a278,
-  0x7bd120a4, 0xe93de34e, 0x7bcca789, 0xe9322505,
-  0x7bc82c1f, 0xe926679c, 0x7bc3ae67, 0xe91aab16,
-  0x7bbf2e62, 0xe90eef71, 0x7bbaac0e, 0xe90334af,
-  0x7bb6276e, 0xe8f77acf, 0x7bb1a080, 0xe8ebc1d3,
-  0x7bad1744, 0xe8e009ba, 0x7ba88bbc, 0xe8d45286,
-  0x7ba3fde7, 0xe8c89c37, 0x7b9f6dc5, 0xe8bce6cd,
-  0x7b9adb57, 0xe8b13248, 0x7b96469d, 0xe8a57ea9,
-  0x7b91af97, 0xe899cbf1, 0x7b8d1644, 0xe88e1a20,
-  0x7b887aa6, 0xe8826936, 0x7b83dcbc, 0xe876b934,
-  0x7b7f3c87, 0xe86b0a1a, 0x7b7a9a07, 0xe85f5be9,
-  0x7b75f53c, 0xe853aea1, 0x7b714e25, 0xe8480243,
-  0x7b6ca4c4, 0xe83c56cf, 0x7b67f919, 0xe830ac45,
-  0x7b634b23, 0xe82502a7, 0x7b5e9ae4, 0xe81959f4,
-  0x7b59e85a, 0xe80db22d, 0x7b553386, 0xe8020b52,
-  0x7b507c69, 0xe7f66564, 0x7b4bc303, 0xe7eac063,
-  0x7b470753, 0xe7df1c50, 0x7b42495a, 0xe7d3792b,
-  0x7b3d8918, 0xe7c7d6f4, 0x7b38c68e, 0xe7bc35ad,
-  0x7b3401bb, 0xe7b09555, 0x7b2f3aa0, 0xe7a4f5ed,
-  0x7b2a713d, 0xe7995776, 0x7b25a591, 0xe78db9ef,
-  0x7b20d79e, 0xe7821d59, 0x7b1c0764, 0xe77681b6,
-  0x7b1734e2, 0xe76ae704, 0x7b126019, 0xe75f4d45,
-  0x7b0d8909, 0xe753b479, 0x7b08afb2, 0xe7481ca1,
-  0x7b03d414, 0xe73c85bc, 0x7afef630, 0xe730efcc,
-  0x7afa1605, 0xe7255ad1, 0x7af53395, 0xe719c6cb,
-  0x7af04edf, 0xe70e33bb, 0x7aeb67e3, 0xe702a1a1,
-  0x7ae67ea1, 0xe6f7107e, 0x7ae1931a, 0xe6eb8052,
-  0x7adca54e, 0xe6dff11d, 0x7ad7b53d, 0xe6d462e1,
-  0x7ad2c2e8, 0xe6c8d59c, 0x7acdce4d, 0xe6bd4951,
-  0x7ac8d76f, 0xe6b1bdff, 0x7ac3de4c, 0xe6a633a6,
-  0x7abee2e5, 0xe69aaa48, 0x7ab9e53a, 0xe68f21e5,
-  0x7ab4e54c, 0xe6839a7c, 0x7aafe31b, 0xe6781410,
-  0x7aaadea6, 0xe66c8e9f, 0x7aa5d7ee, 0xe6610a2a,
-  0x7aa0cef3, 0xe65586b3, 0x7a9bc3b6, 0xe64a0438,
-  0x7a96b636, 0xe63e82bc, 0x7a91a674, 0xe633023e,
-  0x7a8c9470, 0xe62782be, 0x7a87802a, 0xe61c043d,
-  0x7a8269a3, 0xe61086bc, 0x7a7d50da, 0xe6050a3b,
-  0x7a7835cf, 0xe5f98ebb, 0x7a731884, 0xe5ee143b,
-  0x7a6df8f8, 0xe5e29abc, 0x7a68d72b, 0xe5d72240,
-  0x7a63b31d, 0xe5cbaac5, 0x7a5e8cd0, 0xe5c0344d,
-  0x7a596442, 0xe5b4bed8, 0x7a543974, 0xe5a94a67,
-  0x7a4f0c67, 0xe59dd6f9, 0x7a49dd1a, 0xe5926490,
-  0x7a44ab8e, 0xe586f32c, 0x7a3f77c3, 0xe57b82cd,
-  0x7a3a41b9, 0xe5701374, 0x7a350970, 0xe564a521,
-  0x7a2fcee8, 0xe55937d5, 0x7a2a9223, 0xe54dcb8f,
-  0x7a25531f, 0xe5426051, 0x7a2011de, 0xe536f61b,
-  0x7a1ace5f, 0xe52b8cee, 0x7a1588a2, 0xe52024c9,
-  0x7a1040a8, 0xe514bdad, 0x7a0af671, 0xe509579b,
-  0x7a05a9fd, 0xe4fdf294, 0x7a005b4d, 0xe4f28e96,
-  0x79fb0a60, 0xe4e72ba4, 0x79f5b737, 0xe4dbc9bd,
-  0x79f061d2, 0xe4d068e2, 0x79eb0a31, 0xe4c50914,
-  0x79e5b054, 0xe4b9aa52, 0x79e0543c, 0xe4ae4c9d,
-  0x79daf5e8, 0xe4a2eff6, 0x79d5955a, 0xe497945d,
-  0x79d03291, 0xe48c39d3, 0x79cacd8d, 0xe480e057,
-  0x79c5664f, 0xe47587eb, 0x79bffcd7, 0xe46a308f,
-  0x79ba9125, 0xe45eda43, 0x79b52339, 0xe4538507,
-  0x79afb313, 0xe44830dd, 0x79aa40b4, 0xe43cddc4,
-  0x79a4cc1c, 0xe4318bbe, 0x799f554b, 0xe4263ac9,
-  0x7999dc42, 0xe41aeae8, 0x799460ff, 0xe40f9c1a,
-  0x798ee385, 0xe4044e60, 0x798963d2, 0xe3f901ba,
-  0x7983e1e8, 0xe3edb628, 0x797e5dc6, 0xe3e26bac,
-  0x7978d76c, 0xe3d72245, 0x79734edc, 0xe3cbd9f4,
-  0x796dc414, 0xe3c092b9, 0x79683715, 0xe3b54c95,
-  0x7962a7e0, 0xe3aa0788, 0x795d1675, 0xe39ec393,
-  0x795782d3, 0xe39380b6, 0x7951ecfc, 0xe3883ef2,
-  0x794c54ee, 0xe37cfe47, 0x7946baac, 0xe371beb5,
-  0x79411e33, 0xe366803c, 0x793b7f86, 0xe35b42df,
-  0x7935dea4, 0xe350069b, 0x79303b8e, 0xe344cb73,
-  0x792a9642, 0xe3399167, 0x7924eec3, 0xe32e5876,
-  0x791f4510, 0xe32320a2, 0x79199929, 0xe317e9eb,
-  0x7913eb0e, 0xe30cb451, 0x790e3ac0, 0xe3017fd5,
-  0x7908883f, 0xe2f64c77, 0x7902d38b, 0xe2eb1a37,
-  0x78fd1ca4, 0xe2dfe917, 0x78f7638b, 0xe2d4b916,
-  0x78f1a840, 0xe2c98a35, 0x78ebeac2, 0xe2be5c74,
-  0x78e62b13, 0xe2b32fd4, 0x78e06932, 0xe2a80456,
-  0x78daa520, 0xe29cd9f8, 0x78d4dedd, 0xe291b0bd,
-  0x78cf1669, 0xe28688a4, 0x78c94bc4, 0xe27b61af,
-  0x78c37eef, 0xe2703bdc, 0x78bdafea, 0xe265172e,
-  0x78b7deb4, 0xe259f3a3, 0x78b20b4f, 0xe24ed13d,
-  0x78ac35ba, 0xe243affc, 0x78a65df6, 0xe2388fe1,
-  0x78a08402, 0xe22d70eb, 0x789aa7e0, 0xe222531c,
-  0x7894c98f, 0xe2173674, 0x788ee910, 0xe20c1af3,
-  0x78890663, 0xe2010099, 0x78832187, 0xe1f5e768,
-  0x787d3a7e, 0xe1eacf5f, 0x78775147, 0xe1dfb87f,
-  0x787165e3, 0xe1d4a2c8, 0x786b7852, 0xe1c98e3b,
-  0x78658894, 0xe1be7ad8, 0x785f96a9, 0xe1b368a0,
-  0x7859a292, 0xe1a85793, 0x7853ac4f, 0xe19d47b1,
-  0x784db3e0, 0xe19238fb, 0x7847b946, 0xe1872b72,
-  0x7841bc7f, 0xe17c1f15, 0x783bbd8e, 0xe17113e5,
-  0x7835bc71, 0xe16609e3, 0x782fb92a, 0xe15b0110,
-  0x7829b3b9, 0xe14ff96a, 0x7823ac1d, 0xe144f2f3,
-  0x781da256, 0xe139edac, 0x78179666, 0xe12ee995,
-  0x7811884d, 0xe123e6ad, 0x780b780a, 0xe118e4f6,
-  0x7805659e, 0xe10de470, 0x77ff5109, 0xe102e51c,
-  0x77f93a4b, 0xe0f7e6f9, 0x77f32165, 0xe0ecea09,
-  0x77ed0657, 0xe0e1ee4b, 0x77e6e921, 0xe0d6f3c1,
-  0x77e0c9c3, 0xe0cbfa6a, 0x77daa83d, 0xe0c10247,
-  0x77d48490, 0xe0b60b58, 0x77ce5ebd, 0xe0ab159e,
-  0x77c836c2, 0xe0a0211a, 0x77c20ca1, 0xe0952dcb,
-  0x77bbe05a, 0xe08a3bb2, 0x77b5b1ec, 0xe07f4acf,
-  0x77af8159, 0xe0745b24, 0x77a94ea0, 0xe0696cb0,
-  0x77a319c2, 0xe05e7f74, 0x779ce2be, 0xe053936f,
-  0x7796a996, 0xe048a8a4, 0x77906e49, 0xe03dbf11,
-  0x778a30d8, 0xe032d6b8, 0x7783f143, 0xe027ef99,
-  0x777daf89, 0xe01d09b4, 0x77776bac, 0xe012250a,
-  0x777125ac, 0xe007419b, 0x776add88, 0xdffc5f67,
-  0x77649341, 0xdff17e70, 0x775e46d8, 0xdfe69eb4,
-  0x7757f84c, 0xdfdbc036, 0x7751a79e, 0xdfd0e2f5,
-  0x774b54ce, 0xdfc606f1, 0x7744ffdd, 0xdfbb2c2c,
-  0x773ea8ca, 0xdfb052a5, 0x77384f95, 0xdfa57a5d,
-  0x7731f440, 0xdf9aa354, 0x772b96ca, 0xdf8fcd8b,
-  0x77253733, 0xdf84f902, 0x771ed57c, 0xdf7a25ba,
-  0x771871a5, 0xdf6f53b3, 0x77120bae, 0xdf6482ed,
-  0x770ba398, 0xdf59b369, 0x77053962, 0xdf4ee527,
-  0x76fecd0e, 0xdf441828, 0x76f85e9a, 0xdf394c6b,
-  0x76f1ee09, 0xdf2e81f3, 0x76eb7b58, 0xdf23b8be,
-  0x76e5068a, 0xdf18f0ce, 0x76de8f9e, 0xdf0e2a22,
-  0x76d81695, 0xdf0364bc, 0x76d19b6e, 0xdef8a09b,
-  0x76cb1e2a, 0xdeedddc0, 0x76c49ec9, 0xdee31c2b,
-  0x76be1d4c, 0xded85bdd, 0x76b799b3, 0xdecd9cd7,
-  0x76b113fd, 0xdec2df18, 0x76aa8c2c, 0xdeb822a1,
-  0x76a4023f, 0xdead6773, 0x769d7637, 0xdea2ad8d,
-  0x7696e814, 0xde97f4f1, 0x769057d6, 0xde8d3d9e,
-  0x7689c57d, 0xde828796, 0x7683310b, 0xde77d2d8,
-  0x767c9a7e, 0xde6d1f65, 0x767601d7, 0xde626d3e,
-  0x766f6717, 0xde57bc62, 0x7668ca3e, 0xde4d0cd2,
-  0x76622b4c, 0xde425e8f, 0x765b8a41, 0xde37b199,
-  0x7654e71d, 0xde2d05f1, 0x764e41e2, 0xde225b96,
-  0x76479a8e, 0xde17b28a, 0x7640f123, 0xde0d0acc,
-  0x763a45a0, 0xde02645d, 0x76339806, 0xddf7bf3e,
-  0x762ce855, 0xdded1b6e, 0x7626368d, 0xdde278ef,
-  0x761f82af, 0xddd7d7c1, 0x7618ccba, 0xddcd37e4,
-  0x761214b0, 0xddc29958, 0x760b5a90, 0xddb7fc1e,
-  0x76049e5b, 0xddad6036, 0x75fde011, 0xdda2c5a2,
-  0x75f71fb1, 0xdd982c60, 0x75f05d3d, 0xdd8d9472,
-  0x75e998b5, 0xdd82fdd8, 0x75e2d219, 0xdd786892,
-  0x75dc0968, 0xdd6dd4a2, 0x75d53ea5, 0xdd634206,
-  0x75ce71ce, 0xdd58b0c0, 0x75c7a2e3, 0xdd4e20d0,
-  0x75c0d1e7, 0xdd439236, 0x75b9fed7, 0xdd3904f4,
-  0x75b329b5, 0xdd2e7908, 0x75ac5282, 0xdd23ee74,
-  0x75a5793c, 0xdd196538, 0x759e9de5, 0xdd0edd55,
-  0x7597c07d, 0xdd0456ca, 0x7590e104, 0xdcf9d199,
-  0x7589ff7a, 0xdcef4dc2, 0x75831be0, 0xdce4cb44,
-  0x757c3636, 0xdcda4a21, 0x75754e7c, 0xdccfca59,
-  0x756e64b2, 0xdcc54bec, 0x756778d9, 0xdcbacedb,
-  0x75608af1, 0xdcb05326, 0x75599afa, 0xdca5d8cd,
-  0x7552a8f4, 0xdc9b5fd2, 0x754bb4e1, 0xdc90e834,
-  0x7544bebf, 0xdc8671f3, 0x753dc68f, 0xdc7bfd11,
-  0x7536cc52, 0xdc71898d, 0x752fd008, 0xdc671768,
-  0x7528d1b1, 0xdc5ca6a2, 0x7521d14d, 0xdc52373c,
-  0x751acedd, 0xdc47c936, 0x7513ca60, 0xdc3d5c91,
-  0x750cc3d8, 0xdc32f14d, 0x7505bb44, 0xdc28876a,
-  0x74feb0a5, 0xdc1e1ee9, 0x74f7a3fb, 0xdc13b7c9,
-  0x74f09546, 0xdc09520d, 0x74e98487, 0xdbfeedb3,
-  0x74e271bd, 0xdbf48abd, 0x74db5cea, 0xdbea292b,
-  0x74d4460c, 0xdbdfc8fc, 0x74cd2d26, 0xdbd56a32,
-  0x74c61236, 0xdbcb0cce, 0x74bef53d, 0xdbc0b0ce,
-  0x74b7d63c, 0xdbb65634, 0x74b0b533, 0xdbabfd01,
-  0x74a99221, 0xdba1a534, 0x74a26d08, 0xdb974ece,
-  0x749b45e7, 0xdb8cf9cf, 0x74941cbf, 0xdb82a638,
-  0x748cf190, 0xdb785409, 0x7485c45b, 0xdb6e0342,
-  0x747e951f, 0xdb63b3e5, 0x747763dd, 0xdb5965f1,
-  0x74703095, 0xdb4f1967, 0x7468fb47, 0xdb44ce46,
-  0x7461c3f5, 0xdb3a8491, 0x745a8a9d, 0xdb303c46,
-  0x74534f41, 0xdb25f566, 0x744c11e0, 0xdb1baff2,
-  0x7444d27b, 0xdb116beb, 0x743d9112, 0xdb072950,
-  0x74364da6, 0xdafce821, 0x742f0836, 0xdaf2a860,
-  0x7427c0c3, 0xdae86a0d, 0x7420774d, 0xdade2d28,
-  0x74192bd5, 0xdad3f1b1, 0x7411de5b, 0xdac9b7a9,
-  0x740a8edf, 0xdabf7f11, 0x74033d61, 0xdab547e8,
-  0x73fbe9e2, 0xdaab122f, 0x73f49462, 0xdaa0dde7,
-  0x73ed3ce1, 0xda96ab0f, 0x73e5e360, 0xda8c79a9,
-  0x73de87de, 0xda8249b4, 0x73d72a5d, 0xda781b31,
-  0x73cfcadc, 0xda6dee21, 0x73c8695b, 0xda63c284,
-  0x73c105db, 0xda599859, 0x73b9a05d, 0xda4f6fa3,
-  0x73b238e0, 0xda454860, 0x73aacf65, 0xda3b2292,
-  0x73a363ec, 0xda30fe38, 0x739bf675, 0xda26db54,
-  0x73948701, 0xda1cb9e5, 0x738d1590, 0xda1299ec,
-  0x7385a222, 0xda087b69, 0x737e2cb7, 0xd9fe5e5e,
-  0x7376b551, 0xd9f442c9, 0x736f3bee, 0xd9ea28ac,
-  0x7367c090, 0xd9e01006, 0x73604336, 0xd9d5f8d9,
-  0x7358c3e2, 0xd9cbe325, 0x73514292, 0xd9c1cee9,
-  0x7349bf48, 0xd9b7bc27, 0x73423a04, 0xd9adaadf,
-  0x733ab2c6, 0xd9a39b11, 0x7333298f, 0xd9998cbe,
-  0x732b9e5e, 0xd98f7fe6, 0x73241134, 0xd9857489,
-  0x731c8211, 0xd97b6aa8, 0x7314f0f6, 0xd9716243,
-  0x730d5de3, 0xd9675b5a, 0x7305c8d7, 0xd95d55ef,
-  0x72fe31d5, 0xd9535201, 0x72f698db, 0xd9494f90,
-  0x72eefdea, 0xd93f4e9e, 0x72e76102, 0xd9354f2a,
-  0x72dfc224, 0xd92b5135, 0x72d82150, 0xd92154bf,
-  0x72d07e85, 0xd91759c9, 0x72c8d9c6, 0xd90d6053,
-  0x72c13311, 0xd903685d, 0x72b98a67, 0xd8f971e8,
-  0x72b1dfc9, 0xd8ef7cf4, 0x72aa3336, 0xd8e58982,
-  0x72a284b0, 0xd8db9792, 0x729ad435, 0xd8d1a724,
-  0x729321c7, 0xd8c7b838, 0x728b6d66, 0xd8bdcad0,
-  0x7283b712, 0xd8b3deeb, 0x727bfecc, 0xd8a9f48a,
-  0x72744493, 0xd8a00bae, 0x726c8868, 0xd8962456,
-  0x7264ca4c, 0xd88c3e83, 0x725d0a3e, 0xd8825a35,
-  0x72554840, 0xd878776d, 0x724d8450, 0xd86e962b,
-  0x7245be70, 0xd864b670, 0x723df6a0, 0xd85ad83c,
-  0x72362ce0, 0xd850fb8e, 0x722e6130, 0xd8472069,
-  0x72269391, 0xd83d46cc, 0x721ec403, 0xd8336eb7,
-  0x7216f287, 0xd829982b, 0x720f1f1c, 0xd81fc328,
-  0x720749c3, 0xd815efae, 0x71ff727c, 0xd80c1dbf,
-  0x71f79948, 0xd8024d59, 0x71efbe27, 0xd7f87e7f,
-  0x71e7e118, 0xd7eeb130, 0x71e0021e, 0xd7e4e56c,
-  0x71d82137, 0xd7db1b34, 0x71d03e64, 0xd7d15288,
-  0x71c859a5, 0xd7c78b68, 0x71c072fb, 0xd7bdc5d6,
-  0x71b88a66, 0xd7b401d1, 0x71b09fe7, 0xd7aa3f5a,
-  0x71a8b37c, 0xd7a07e70, 0x71a0c528, 0xd796bf16,
-  0x7198d4ea, 0xd78d014a, 0x7190e2c3, 0xd783450d,
-  0x7188eeb2, 0xd7798a60, 0x7180f8b8, 0xd76fd143,
-  0x717900d6, 0xd76619b6, 0x7171070c, 0xd75c63ba,
-  0x71690b59, 0xd752af4f, 0x71610dbf, 0xd748fc75,
-  0x71590e3e, 0xd73f4b2e, 0x71510cd5, 0xd7359b78,
-  0x71490986, 0xd72bed55, 0x71410450, 0xd72240c5,
-  0x7138fd35, 0xd71895c9, 0x7130f433, 0xd70eec60,
-  0x7128e94c, 0xd705448b, 0x7120dc80, 0xd6fb9e4b,
-  0x7118cdcf, 0xd6f1f99f, 0x7110bd39, 0xd6e85689,
-  0x7108aabf, 0xd6deb508, 0x71009661, 0xd6d5151d,
-  0x70f8801f, 0xd6cb76c9, 0x70f067fb, 0xd6c1da0b,
-  0x70e84df3, 0xd6b83ee4, 0x70e03208, 0xd6aea555,
-  0x70d8143b, 0xd6a50d5d, 0x70cff48c, 0xd69b76fe,
-  0x70c7d2fb, 0xd691e237, 0x70bfaf89, 0xd6884f09,
-  0x70b78a36, 0xd67ebd74, 0x70af6302, 0xd6752d79,
-  0x70a739ed, 0xd66b9f18, 0x709f0ef8, 0xd6621251,
-  0x7096e223, 0xd6588725, 0x708eb36f, 0xd64efd94,
-  0x708682dc, 0xd645759f, 0x707e5069, 0xd63bef46,
-  0x70761c18, 0xd6326a88, 0x706de5e9, 0xd628e767,
-  0x7065addb, 0xd61f65e4, 0x705d73f0, 0xd615e5fd,
-  0x70553828, 0xd60c67b4, 0x704cfa83, 0xd602eb0a,
-  0x7044bb00, 0xd5f96ffd, 0x703c79a2, 0xd5eff690,
-  0x70343667, 0xd5e67ec1, 0x702bf151, 0xd5dd0892,
-  0x7023aa5f, 0xd5d39403, 0x701b6193, 0xd5ca2115,
-  0x701316eb, 0xd5c0afc6, 0x700aca69, 0xd5b74019,
-  0x70027c0c, 0xd5add20d, 0x6ffa2bd6, 0xd5a465a3,
-  0x6ff1d9c7, 0xd59afadb, 0x6fe985de, 0xd59191b5,
-  0x6fe1301c, 0xd5882a32, 0x6fd8d882, 0xd57ec452,
-  0x6fd07f0f, 0xd5756016, 0x6fc823c5, 0xd56bfd7d,
-  0x6fbfc6a3, 0xd5629c89, 0x6fb767aa, 0xd5593d3a,
-  0x6faf06da, 0xd54fdf8f, 0x6fa6a433, 0xd5468389,
-  0x6f9e3fb6, 0xd53d292a, 0x6f95d963, 0xd533d070,
-  0x6f8d713a, 0xd52a795d, 0x6f85073c, 0xd52123f0,
-  0x6f7c9b69, 0xd517d02b, 0x6f742dc1, 0xd50e7e0d,
-  0x6f6bbe45, 0xd5052d97, 0x6f634cf5, 0xd4fbdec9,
-  0x6f5ad9d1, 0xd4f291a4, 0x6f5264da, 0xd4e94627,
-  0x6f49ee0f, 0xd4dffc54, 0x6f417573, 0xd4d6b42b,
-  0x6f38fb03, 0xd4cd6dab, 0x6f307ec2, 0xd4c428d6,
-  0x6f2800af, 0xd4bae5ab, 0x6f1f80ca, 0xd4b1a42c,
-  0x6f16ff14, 0xd4a86458, 0x6f0e7b8e, 0xd49f2630,
-  0x6f05f637, 0xd495e9b3, 0x6efd6f10, 0xd48caee4,
-  0x6ef4e619, 0xd48375c1, 0x6eec5b53, 0xd47a3e4b,
-  0x6ee3cebe, 0xd4710883, 0x6edb405a, 0xd467d469,
-  0x6ed2b027, 0xd45ea1fd, 0x6eca1e27, 0xd4557140,
-  0x6ec18a58, 0xd44c4232, 0x6eb8f4bc, 0xd44314d3,
-  0x6eb05d53, 0xd439e923, 0x6ea7c41e, 0xd430bf24,
-  0x6e9f291b, 0xd42796d5, 0x6e968c4d, 0xd41e7037,
-  0x6e8dedb3, 0xd4154b4a, 0x6e854d4d, 0xd40c280e,
-  0x6e7cab1c, 0xd4030684, 0x6e740720, 0xd3f9e6ad,
-  0x6e6b615a, 0xd3f0c887, 0x6e62b9ca, 0xd3e7ac15,
-  0x6e5a1070, 0xd3de9156, 0x6e51654c, 0xd3d5784a,
-  0x6e48b860, 0xd3cc60f2, 0x6e4009aa, 0xd3c34b4f,
-  0x6e37592c, 0xd3ba3760, 0x6e2ea6e6, 0xd3b12526,
-  0x6e25f2d8, 0xd3a814a2, 0x6e1d3d03, 0xd39f05d3,
-  0x6e148566, 0xd395f8ba, 0x6e0bcc03, 0xd38ced57,
-  0x6e0310d9, 0xd383e3ab, 0x6dfa53e9, 0xd37adbb6,
-  0x6df19534, 0xd371d579, 0x6de8d4b8, 0xd368d0f3,
-  0x6de01278, 0xd35fce26, 0x6dd74e73, 0xd356cd11,
-  0x6dce88aa, 0xd34dcdb4, 0x6dc5c11c, 0xd344d011,
-  0x6dbcf7cb, 0xd33bd427, 0x6db42cb6, 0xd332d9f7,
-  0x6dab5fdf, 0xd329e181, 0x6da29144, 0xd320eac6,
-  0x6d99c0e7, 0xd317f5c6, 0x6d90eec8, 0xd30f0280,
-  0x6d881ae8, 0xd30610f7, 0x6d7f4545, 0xd2fd2129,
-  0x6d766de2, 0xd2f43318, 0x6d6d94bf, 0xd2eb46c3,
-  0x6d64b9da, 0xd2e25c2b, 0x6d5bdd36, 0xd2d97350,
-  0x6d52fed2, 0xd2d08c33, 0x6d4a1eaf, 0xd2c7a6d4,
-  0x6d413ccd, 0xd2bec333, 0x6d38592c, 0xd2b5e151,
-  0x6d2f73cd, 0xd2ad012e, 0x6d268cb0, 0xd2a422ca,
-  0x6d1da3d5, 0xd29b4626, 0x6d14b93d, 0xd2926b41,
-  0x6d0bcce8, 0xd289921e, 0x6d02ded7, 0xd280babb,
-  0x6cf9ef09, 0xd277e518, 0x6cf0fd80, 0xd26f1138,
-  0x6ce80a3a, 0xd2663f19, 0x6cdf153a, 0xd25d6ebc,
-  0x6cd61e7f, 0xd254a021, 0x6ccd2609, 0xd24bd34a,
-  0x6cc42bd9, 0xd2430835, 0x6cbb2fef, 0xd23a3ee4,
-  0x6cb2324c, 0xd2317756, 0x6ca932ef, 0xd228b18d,
-  0x6ca031da, 0xd21fed88, 0x6c972f0d, 0xd2172b48,
-  0x6c8e2a87, 0xd20e6acc, 0x6c85244a, 0xd205ac17,
-  0x6c7c1c55, 0xd1fcef27, 0x6c7312a9, 0xd1f433fd,
-  0x6c6a0746, 0xd1eb7a9a, 0x6c60fa2d, 0xd1e2c2fd,
-  0x6c57eb5e, 0xd1da0d28, 0x6c4edada, 0xd1d1591a,
-  0x6c45c8a0, 0xd1c8a6d4, 0x6c3cb4b1, 0xd1bff656,
-  0x6c339f0e, 0xd1b747a0, 0x6c2a87b6, 0xd1ae9ab4,
-  0x6c216eaa, 0xd1a5ef90, 0x6c1853eb, 0xd19d4636,
-  0x6c0f3779, 0xd1949ea6, 0x6c061953, 0xd18bf8e0,
-  0x6bfcf97c, 0xd18354e4, 0x6bf3d7f2, 0xd17ab2b3,
-  0x6beab4b6, 0xd172124d, 0x6be18fc9, 0xd16973b3,
-  0x6bd8692b, 0xd160d6e5, 0x6bcf40dc, 0xd1583be2,
-  0x6bc616dd, 0xd14fa2ad, 0x6bbceb2d, 0xd1470b44,
-  0x6bb3bdce, 0xd13e75a8, 0x6baa8ec0, 0xd135e1d9,
-  0x6ba15e03, 0xd12d4fd9, 0x6b982b97, 0xd124bfa6,
-  0x6b8ef77d, 0xd11c3142, 0x6b85c1b5, 0xd113a4ad,
-  0x6b7c8a3f, 0xd10b19e7, 0x6b73511c, 0xd10290f0,
-  0x6b6a164d, 0xd0fa09c9, 0x6b60d9d0, 0xd0f18472,
-  0x6b579ba8, 0xd0e900ec, 0x6b4e5bd4, 0xd0e07f36,
-  0x6b451a55, 0xd0d7ff51, 0x6b3bd72a, 0xd0cf813e,
-  0x6b329255, 0xd0c704fd, 0x6b294bd5, 0xd0be8a8d,
-  0x6b2003ac, 0xd0b611f1, 0x6b16b9d9, 0xd0ad9b26,
-  0x6b0d6e5c, 0xd0a5262f, 0x6b042137, 0xd09cb30b,
-  0x6afad269, 0xd09441bb, 0x6af181f3, 0xd08bd23f,
-  0x6ae82fd5, 0xd0836497, 0x6adedc10, 0xd07af8c4,
-  0x6ad586a3, 0xd0728ec6, 0x6acc2f90, 0xd06a269d,
-  0x6ac2d6d6, 0xd061c04a, 0x6ab97c77, 0xd0595bcd,
-  0x6ab02071, 0xd050f926, 0x6aa6c2c6, 0xd0489856,
-  0x6a9d6377, 0xd040395d, 0x6a940283, 0xd037dc3b,
-  0x6a8a9fea, 0xd02f80f1, 0x6a813bae, 0xd027277e,
-  0x6a77d5ce, 0xd01ecfe4, 0x6a6e6e4b, 0xd0167a22,
-  0x6a650525, 0xd00e2639, 0x6a5b9a5d, 0xd005d42a,
-  0x6a522df3, 0xcffd83f4, 0x6a48bfe7, 0xcff53597,
-  0x6a3f503a, 0xcfece915, 0x6a35deeb, 0xcfe49e6d,
-  0x6a2c6bfd, 0xcfdc55a1, 0x6a22f76e, 0xcfd40eaf,
-  0x6a19813f, 0xcfcbc999, 0x6a100970, 0xcfc3865e,
-  0x6a069003, 0xcfbb4500, 0x69fd14f6, 0xcfb3057d,
-  0x69f3984c, 0xcfaac7d8, 0x69ea1a03, 0xcfa28c10,
-  0x69e09a1c, 0xcf9a5225, 0x69d71899, 0xcf921a17,
-  0x69cd9578, 0xcf89e3e8, 0x69c410ba, 0xcf81af97,
-  0x69ba8a61, 0xcf797d24, 0x69b1026c, 0xcf714c91,
-  0x69a778db, 0xcf691ddd, 0x699dedaf, 0xcf60f108,
-  0x699460e8, 0xcf58c613, 0x698ad287, 0xcf509cfe,
-  0x6981428c, 0xcf4875ca, 0x6977b0f7, 0xcf405077,
-  0x696e1dc9, 0xcf382d05, 0x69648902, 0xcf300b74,
-  0x695af2a3, 0xcf27ebc5, 0x69515aab, 0xcf1fcdf8,
-  0x6947c11c, 0xcf17b20d, 0x693e25f5, 0xcf0f9805,
-  0x69348937, 0xcf077fe1, 0x692aeae3, 0xceff699f,
-  0x69214af8, 0xcef75541, 0x6917a977, 0xceef42c7,
-  0x690e0661, 0xcee73231, 0x690461b5, 0xcedf2380,
-  0x68fabb75, 0xced716b4, 0x68f113a0, 0xcecf0bcd,
-  0x68e76a37, 0xcec702cb, 0x68ddbf3b, 0xcebefbb0,
-  0x68d412ab, 0xceb6f67a, 0x68ca6488, 0xceaef32b,
-  0x68c0b4d2, 0xcea6f1c2, 0x68b7038b, 0xce9ef241,
-  0x68ad50b1, 0xce96f4a7, 0x68a39c46, 0xce8ef8f4,
-  0x6899e64a, 0xce86ff2a, 0x68902ebd, 0xce7f0748,
-  0x688675a0, 0xce77114e, 0x687cbaf3, 0xce6f1d3d,
-  0x6872feb6, 0xce672b16, 0x686940ea, 0xce5f3ad8,
-  0x685f8190, 0xce574c84, 0x6855c0a6, 0xce4f6019,
-  0x684bfe2f, 0xce47759a, 0x68423a2a, 0xce3f8d05,
-  0x68387498, 0xce37a65b, 0x682ead78, 0xce2fc19c,
-  0x6824e4cc, 0xce27dec9, 0x681b1a94, 0xce1ffde2,
-  0x68114ed0, 0xce181ee8, 0x68078181, 0xce1041d9,
-  0x67fdb2a7, 0xce0866b8, 0x67f3e241, 0xce008d84,
-  0x67ea1052, 0xcdf8b63d, 0x67e03cd8, 0xcdf0e0e4,
-  0x67d667d5, 0xcde90d79, 0x67cc9149, 0xcde13bfd,
-  0x67c2b934, 0xcdd96c6f, 0x67b8df97, 0xcdd19ed0,
-  0x67af0472, 0xcdc9d320, 0x67a527c4, 0xcdc20960,
-  0x679b4990, 0xcdba4190, 0x679169d5, 0xcdb27bb0,
-  0x67878893, 0xcdaab7c0, 0x677da5cb, 0xcda2f5c2,
-  0x6773c17d, 0xcd9b35b4, 0x6769dbaa, 0xcd937798,
-  0x675ff452, 0xcd8bbb6d, 0x67560b76, 0xcd840134,
-  0x674c2115, 0xcd7c48ee, 0x67423530, 0xcd74929a,
-  0x673847c8, 0xcd6cde39, 0x672e58dc, 0xcd652bcb,
-  0x6724686e, 0xcd5d7b50, 0x671a767e, 0xcd55ccca,
-  0x6710830c, 0xcd4e2037, 0x67068e18, 0xcd467599,
-  0x66fc97a3, 0xcd3eccef, 0x66f29fad, 0xcd37263a,
-  0x66e8a637, 0xcd2f817b, 0x66deab41, 0xcd27deb0,
-  0x66d4aecb, 0xcd203ddc, 0x66cab0d6, 0xcd189efe,
-  0x66c0b162, 0xcd110216, 0x66b6b070, 0xcd096725,
-  0x66acadff, 0xcd01ce2b, 0x66a2aa11, 0xccfa3729,
-  0x6698a4a6, 0xccf2a21d, 0x668e9dbd, 0xcceb0f0a,
-  0x66849558, 0xcce37def, 0x667a8b77, 0xccdbeecc,
-  0x6670801a, 0xccd461a2, 0x66667342, 0xccccd671,
-  0x665c64ef, 0xccc54d3a, 0x66525521, 0xccbdc5fc,
-  0x664843d9, 0xccb640b8, 0x663e3117, 0xccaebd6e,
-  0x66341cdb, 0xcca73c1e, 0x662a0727, 0xcc9fbcca,
-  0x661feffa, 0xcc983f70, 0x6615d754, 0xcc90c412,
-  0x660bbd37, 0xcc894aaf, 0x6601a1a2, 0xcc81d349,
-  0x65f78497, 0xcc7a5dde, 0x65ed6614, 0xcc72ea70,
-  0x65e3461b, 0xcc6b78ff, 0x65d924ac, 0xcc64098b,
-  0x65cf01c8, 0xcc5c9c14, 0x65c4dd6e, 0xcc55309b,
-  0x65bab7a0, 0xcc4dc720, 0x65b0905d, 0xcc465fa3,
-  0x65a667a7, 0xcc3efa25, 0x659c3d7c, 0xcc3796a5,
-  0x659211df, 0xcc303524, 0x6587e4cf, 0xcc28d5a3,
-  0x657db64c, 0xcc217822, 0x65738657, 0xcc1a1ca0,
-  0x656954f1, 0xcc12c31f, 0x655f2219, 0xcc0b6b9e,
-  0x6554edd1, 0xcc04161e, 0x654ab818, 0xcbfcc29f,
-  0x654080ef, 0xcbf57121, 0x65364857, 0xcbee21a5,
-  0x652c0e4f, 0xcbe6d42b, 0x6521d2d8, 0xcbdf88b3,
-  0x651795f3, 0xcbd83f3d, 0x650d57a0, 0xcbd0f7ca,
-  0x650317df, 0xcbc9b25a, 0x64f8d6b0, 0xcbc26eee,
-  0x64ee9415, 0xcbbb2d85, 0x64e4500e, 0xcbb3ee20,
-  0x64da0a9a, 0xcbacb0bf, 0x64cfc3ba, 0xcba57563,
-  0x64c57b6f, 0xcb9e3c0b, 0x64bb31ba, 0xcb9704b9,
-  0x64b0e699, 0xcb8fcf6b, 0x64a69a0f, 0xcb889c23,
-  0x649c4c1b, 0xcb816ae1, 0x6491fcbe, 0xcb7a3ba5,
-  0x6487abf7, 0xcb730e70, 0x647d59c8, 0xcb6be341,
-  0x64730631, 0xcb64ba19, 0x6468b132, 0xcb5d92f8,
-  0x645e5acc, 0xcb566ddf, 0x645402ff, 0xcb4f4acd,
-  0x6449a9cc, 0xcb4829c4, 0x643f4f32, 0xcb410ac3,
-  0x6434f332, 0xcb39edca, 0x642a95ce, 0xcb32d2da,
-  0x64203704, 0xcb2bb9f4, 0x6415d6d5, 0xcb24a316,
-  0x640b7543, 0xcb1d8e43, 0x6401124d, 0xcb167b79,
-  0x63f6adf3, 0xcb0f6aba, 0x63ec4837, 0xcb085c05,
-  0x63e1e117, 0xcb014f5b, 0x63d77896, 0xcafa44bc,
-  0x63cd0eb3, 0xcaf33c28, 0x63c2a36f, 0xcaec35a0,
-  0x63b836ca, 0xcae53123, 0x63adc8c4, 0xcade2eb3,
-  0x63a3595e, 0xcad72e4f, 0x6398e898, 0xcad02ff8,
-  0x638e7673, 0xcac933ae, 0x638402ef, 0xcac23971,
-  0x63798e0d, 0xcabb4141, 0x636f17cc, 0xcab44b1f,
-  0x6364a02e, 0xcaad570c, 0x635a2733, 0xcaa66506,
-  0x634facda, 0xca9f750f, 0x63453125, 0xca988727,
-  0x633ab414, 0xca919b4e, 0x633035a7, 0xca8ab184,
-  0x6325b5df, 0xca83c9ca, 0x631b34bc, 0xca7ce420,
-  0x6310b23e, 0xca760086, 0x63062e67, 0xca6f1efc,
-  0x62fba936, 0xca683f83, 0x62f122ab, 0xca61621b,
-  0x62e69ac8, 0xca5a86c4, 0x62dc118c, 0xca53ad7e,
-  0x62d186f8, 0xca4cd64b, 0x62c6fb0c, 0xca460129,
-  0x62bc6dca, 0xca3f2e19, 0x62b1df30, 0xca385d1d,
-  0x62a74f40, 0xca318e32, 0x629cbdfa, 0xca2ac15b,
-  0x62922b5e, 0xca23f698, 0x6287976e, 0xca1d2de7,
-  0x627d0228, 0xca16674b, 0x62726b8e, 0xca0fa2c3,
-  0x6267d3a0, 0xca08e04f, 0x625d3a5e, 0xca021fef,
-  0x62529fca, 0xc9fb61a5, 0x624803e2, 0xc9f4a570,
-  0x623d66a8, 0xc9edeb50, 0x6232c81c, 0xc9e73346,
-  0x6228283f, 0xc9e07d51, 0x621d8711, 0xc9d9c973,
-  0x6212e492, 0xc9d317ab, 0x620840c2, 0xc9cc67fa,
-  0x61fd9ba3, 0xc9c5ba60, 0x61f2f534, 0xc9bf0edd,
-  0x61e84d76, 0xc9b86572, 0x61dda46a, 0xc9b1be1e,
-  0x61d2fa0f, 0xc9ab18e3, 0x61c84e67, 0xc9a475bf,
-  0x61bda171, 0xc99dd4b4, 0x61b2f32e, 0xc99735c2,
-  0x61a8439e, 0xc99098e9, 0x619d92c2, 0xc989fe29,
-  0x6192e09b, 0xc9836582, 0x61882d28, 0xc97ccef5,
-  0x617d786a, 0xc9763a83, 0x6172c262, 0xc96fa82a,
-  0x61680b0f, 0xc96917ec, 0x615d5273, 0xc96289c9,
-  0x6152988d, 0xc95bfdc1, 0x6147dd5f, 0xc95573d4,
-  0x613d20e8, 0xc94eec03, 0x61326329, 0xc948664d,
-  0x6127a423, 0xc941e2b4, 0x611ce3d5, 0xc93b6137,
-  0x61122240, 0xc934e1d6, 0x61075f65, 0xc92e6492,
-  0x60fc9b44, 0xc927e96b, 0x60f1d5de, 0xc9217062,
-  0x60e70f32, 0xc91af976, 0x60dc4742, 0xc91484a8,
-  0x60d17e0d, 0xc90e11f7, 0x60c6b395, 0xc907a166,
-  0x60bbe7d8, 0xc90132f2, 0x60b11ad9, 0xc8fac69e,
-  0x60a64c97, 0xc8f45c68, 0x609b7d13, 0xc8edf452,
-  0x6090ac4d, 0xc8e78e5b, 0x6085da46, 0xc8e12a84,
-  0x607b06fe, 0xc8dac8cd, 0x60703275, 0xc8d46936,
-  0x60655cac, 0xc8ce0bc0, 0x605a85a3, 0xc8c7b06b,
-  0x604fad5b, 0xc8c15736, 0x6044d3d4, 0xc8bb0023,
-  0x6039f90f, 0xc8b4ab32, 0x602f1d0b, 0xc8ae5862,
-  0x60243fca, 0xc8a807b4, 0x6019614c, 0xc8a1b928,
-  0x600e8190, 0xc89b6cbf, 0x6003a099, 0xc8952278,
-  0x5ff8be65, 0xc88eda54, 0x5feddaf6, 0xc8889454,
-  0x5fe2f64c, 0xc8825077, 0x5fd81067, 0xc87c0ebd,
-  0x5fcd2948, 0xc875cf28, 0x5fc240ef, 0xc86f91b7,
-  0x5fb7575c, 0xc869566a, 0x5fac6c91, 0xc8631d42,
-  0x5fa1808c, 0xc85ce63e, 0x5f969350, 0xc856b160,
-  0x5f8ba4dc, 0xc8507ea7, 0x5f80b531, 0xc84a4e14,
-  0x5f75c44e, 0xc8441fa6, 0x5f6ad235, 0xc83df35f,
-  0x5f5fdee6, 0xc837c93e, 0x5f54ea62, 0xc831a143,
-  0x5f49f4a8, 0xc82b7b70, 0x5f3efdb9, 0xc82557c3,
-  0x5f340596, 0xc81f363d, 0x5f290c3f, 0xc81916df,
-  0x5f1e11b5, 0xc812f9a9, 0x5f1315f7, 0xc80cde9b,
-  0x5f081907, 0xc806c5b5, 0x5efd1ae4, 0xc800aef7,
-  0x5ef21b90, 0xc7fa9a62, 0x5ee71b0a, 0xc7f487f6,
-  0x5edc1953, 0xc7ee77b3, 0x5ed1166b, 0xc7e8699a,
-  0x5ec61254, 0xc7e25daa, 0x5ebb0d0d, 0xc7dc53e3,
-  0x5eb00696, 0xc7d64c47, 0x5ea4fef0, 0xc7d046d6,
-  0x5e99f61d, 0xc7ca438f, 0x5e8eec1b, 0xc7c44272,
-  0x5e83e0eb, 0xc7be4381, 0x5e78d48e, 0xc7b846ba,
-  0x5e6dc705, 0xc7b24c20, 0x5e62b84f, 0xc7ac53b1,
-  0x5e57a86d, 0xc7a65d6e, 0x5e4c9760, 0xc7a06957,
-  0x5e418528, 0xc79a776c, 0x5e3671c5, 0xc79487ae,
-  0x5e2b5d38, 0xc78e9a1d, 0x5e204781, 0xc788aeb9,
-  0x5e1530a1, 0xc782c582, 0x5e0a1898, 0xc77cde79,
-  0x5dfeff67, 0xc776f99d, 0x5df3e50d, 0xc77116f0,
-  0x5de8c98c, 0xc76b3671, 0x5dddace4, 0xc7655820,
-  0x5dd28f15, 0xc75f7bfe, 0x5dc7701f, 0xc759a20a,
-  0x5dbc5004, 0xc753ca46, 0x5db12ec3, 0xc74df4b1,
-  0x5da60c5d, 0xc748214c, 0x5d9ae8d2, 0xc7425016,
-  0x5d8fc424, 0xc73c8111, 0x5d849e51, 0xc736b43c,
-  0x5d79775c, 0xc730e997, 0x5d6e4f43, 0xc72b2123,
-  0x5d632608, 0xc7255ae0, 0x5d57fbaa, 0xc71f96ce,
-  0x5d4cd02c, 0xc719d4ed, 0x5d41a38c, 0xc714153e,
-  0x5d3675cb, 0xc70e57c0, 0x5d2b46ea, 0xc7089c75,
-  0x5d2016e9, 0xc702e35c, 0x5d14e5c9, 0xc6fd2c75,
-  0x5d09b389, 0xc6f777c1, 0x5cfe802b, 0xc6f1c540,
-  0x5cf34baf, 0xc6ec14f2, 0x5ce81615, 0xc6e666d7,
-  0x5cdcdf5e, 0xc6e0baf0, 0x5cd1a78a, 0xc6db113d,
-  0x5cc66e99, 0xc6d569be, 0x5cbb348d, 0xc6cfc472,
-  0x5caff965, 0xc6ca215c, 0x5ca4bd21, 0xc6c4807a,
-  0x5c997fc4, 0xc6bee1cd, 0x5c8e414b, 0xc6b94554,
-  0x5c8301b9, 0xc6b3ab12, 0x5c77c10e, 0xc6ae1304,
-  0x5c6c7f4a, 0xc6a87d2d, 0x5c613c6d, 0xc6a2e98b,
-  0x5c55f878, 0xc69d5820, 0x5c4ab36b, 0xc697c8eb,
-  0x5c3f6d47, 0xc6923bec, 0x5c34260c, 0xc68cb124,
-  0x5c28ddbb, 0xc6872894, 0x5c1d9454, 0xc681a23a,
-  0x5c1249d8, 0xc67c1e18, 0x5c06fe46, 0xc6769c2e,
-  0x5bfbb1a0, 0xc6711c7b, 0x5bf063e6, 0xc66b9f01,
-  0x5be51518, 0xc66623be, 0x5bd9c537, 0xc660aab5,
-  0x5bce7442, 0xc65b33e4, 0x5bc3223c, 0xc655bf4c,
-  0x5bb7cf23, 0xc6504ced, 0x5bac7af9, 0xc64adcc7,
-  0x5ba125bd, 0xc6456edb, 0x5b95cf71, 0xc6400329,
-  0x5b8a7815, 0xc63a99b1, 0x5b7f1fa9, 0xc6353273,
-  0x5b73c62d, 0xc62fcd6f, 0x5b686ba3, 0xc62a6aa6,
-  0x5b5d100a, 0xc6250a18, 0x5b51b363, 0xc61fabc4,
-  0x5b4655ae, 0xc61a4fac, 0x5b3af6ec, 0xc614f5cf,
-  0x5b2f971e, 0xc60f9e2e, 0x5b243643, 0xc60a48c9,
-  0x5b18d45c, 0xc604f5a0, 0x5b0d716a, 0xc5ffa4b3,
-  0x5b020d6c, 0xc5fa5603, 0x5af6a865, 0xc5f5098f,
-  0x5aeb4253, 0xc5efbf58, 0x5adfdb37, 0xc5ea775e,
-  0x5ad47312, 0xc5e531a1, 0x5ac909e5, 0xc5dfee22,
-  0x5abd9faf, 0xc5daace1, 0x5ab23471, 0xc5d56ddd,
-  0x5aa6c82b, 0xc5d03118, 0x5a9b5adf, 0xc5caf690,
-  0x5a8fec8c, 0xc5c5be47, 0x5a847d33, 0xc5c0883d,
-  0x5a790cd4, 0xc5bb5472, 0x5a6d9b70, 0xc5b622e6,
-  0x5a622907, 0xc5b0f399, 0x5a56b599, 0xc5abc68c,
-  0x5a4b4128, 0xc5a69bbe, 0x5a3fcbb3, 0xc5a17330,
-  0x5a34553b, 0xc59c4ce3, 0x5a28ddc0, 0xc59728d5,
-  0x5a1d6544, 0xc5920708, 0x5a11ebc5, 0xc58ce77c,
-  0x5a067145, 0xc587ca31, 0x59faf5c5, 0xc582af26,
-  0x59ef7944, 0xc57d965d, 0x59e3fbc3, 0xc5787fd6,
-  0x59d87d42, 0xc5736b90, 0x59ccfdc2, 0xc56e598c,
-  0x59c17d44, 0xc56949ca, 0x59b5fbc8, 0xc5643c4a,
-  0x59aa794d, 0xc55f310d, 0x599ef5d6, 0xc55a2812,
-  0x59937161, 0xc555215a, 0x5987ebf0, 0xc5501ce5,
-  0x597c6584, 0xc54b1ab4, 0x5970de1b, 0xc5461ac6,
-  0x596555b8, 0xc5411d1b, 0x5959cc5a, 0xc53c21b4,
-  0x594e4201, 0xc5372891, 0x5942b6af, 0xc53231b3,
-  0x59372a64, 0xc52d3d18, 0x592b9d1f, 0xc5284ac3,
-  0x59200ee3, 0xc5235ab2, 0x59147fae, 0xc51e6ce6,
-  0x5908ef82, 0xc519815f, 0x58fd5e5f, 0xc514981d,
-  0x58f1cc45, 0xc50fb121, 0x58e63935, 0xc50acc6b,
-  0x58daa52f, 0xc505e9fb, 0x58cf1034, 0xc50109d0,
-  0x58c37a44, 0xc4fc2bec, 0x58b7e35f, 0xc4f7504e,
-  0x58ac4b87, 0xc4f276f7, 0x58a0b2bb, 0xc4ed9fe7,
-  0x589518fc, 0xc4e8cb1e, 0x58897e4a, 0xc4e3f89c,
-  0x587de2a7, 0xc4df2862, 0x58724611, 0xc4da5a6f,
-  0x5866a88a, 0xc4d58ec3, 0x585b0a13, 0xc4d0c560,
-  0x584f6aab, 0xc4cbfe45, 0x5843ca53, 0xc4c73972,
-  0x5838290c, 0xc4c276e8, 0x582c86d5, 0xc4bdb6a6,
-  0x5820e3b0, 0xc4b8f8ad, 0x58153f9d, 0xc4b43cfd,
-  0x58099a9c, 0xc4af8397, 0x57fdf4ae, 0xc4aacc7a,
-  0x57f24dd3, 0xc4a617a6, 0x57e6a60c, 0xc4a1651c,
-  0x57dafd59, 0xc49cb4dd, 0x57cf53bb, 0xc49806e7,
-  0x57c3a931, 0xc4935b3c, 0x57b7fdbd, 0xc48eb1db,
-  0x57ac515f, 0xc48a0ac4, 0x57a0a417, 0xc48565f9,
-  0x5794f5e6, 0xc480c379, 0x578946cc, 0xc47c2344,
-  0x577d96ca, 0xc477855a, 0x5771e5e0, 0xc472e9bc,
-  0x5766340f, 0xc46e5069, 0x575a8157, 0xc469b963,
-  0x574ecdb8, 0xc46524a9, 0x57431933, 0xc460923b,
-  0x573763c9, 0xc45c0219, 0x572bad7a, 0xc4577444,
-  0x571ff646, 0xc452e8bc, 0x57143e2d, 0xc44e5f80,
-  0x57088531, 0xc449d892, 0x56fccb51, 0xc44553f2,
-  0x56f1108f, 0xc440d19e, 0x56e554ea, 0xc43c5199,
-  0x56d99864, 0xc437d3e1, 0x56cddafb, 0xc4335877,
-  0x56c21cb2, 0xc42edf5c, 0x56b65d88, 0xc42a688f,
-  0x56aa9d7e, 0xc425f410, 0x569edc94, 0xc42181e0,
-  0x56931acb, 0xc41d11ff, 0x56875823, 0xc418a46d,
-  0x567b949d, 0xc414392b, 0x566fd039, 0xc40fd037,
-  0x56640af7, 0xc40b6994, 0x565844d8, 0xc4070540,
-  0x564c7ddd, 0xc402a33c, 0x5640b606, 0xc3fe4388,
-  0x5634ed53, 0xc3f9e624, 0x562923c5, 0xc3f58b10,
-  0x561d595d, 0xc3f1324e, 0x56118e1a, 0xc3ecdbdc,
-  0x5605c1fd, 0xc3e887bb, 0x55f9f507, 0xc3e435ea,
-  0x55ee2738, 0xc3dfe66c, 0x55e25890, 0xc3db993e,
-  0x55d68911, 0xc3d74e62, 0x55cab8ba, 0xc3d305d8,
-  0x55bee78c, 0xc3cebfa0, 0x55b31587, 0xc3ca7bba,
-  0x55a742ac, 0xc3c63a26, 0x559b6efb, 0xc3c1fae5,
-  0x558f9a76, 0xc3bdbdf6, 0x5583c51b, 0xc3b9835a,
-  0x5577eeec, 0xc3b54b11, 0x556c17e9, 0xc3b1151b,
-  0x55604013, 0xc3ace178, 0x5554676a, 0xc3a8b028,
-  0x55488dee, 0xc3a4812c, 0x553cb3a0, 0xc3a05484,
-  0x5530d881, 0xc39c2a2f, 0x5524fc90, 0xc398022f,
-  0x55191fcf, 0xc393dc82, 0x550d423d, 0xc38fb92a,
-  0x550163dc, 0xc38b9827, 0x54f584ac, 0xc3877978,
-  0x54e9a4ac, 0xc3835d1e, 0x54ddc3de, 0xc37f4319,
-  0x54d1e242, 0xc37b2b6a, 0x54c5ffd9, 0xc377160f,
-  0x54ba1ca3, 0xc373030a, 0x54ae38a0, 0xc36ef25b,
-  0x54a253d1, 0xc36ae401, 0x54966e36, 0xc366d7fd,
-  0x548a87d1, 0xc362ce50, 0x547ea0a0, 0xc35ec6f8,
-  0x5472b8a5, 0xc35ac1f7, 0x5466cfe1, 0xc356bf4d,
-  0x545ae653, 0xc352bef9, 0x544efbfc, 0xc34ec0fc,
-  0x544310dd, 0xc34ac556, 0x543724f5, 0xc346cc07,
-  0x542b3846, 0xc342d510, 0x541f4ad1, 0xc33ee070,
-  0x54135c94, 0xc33aee27, 0x54076d91, 0xc336fe37,
-  0x53fb7dc9, 0xc333109e, 0x53ef8d3c, 0xc32f255e,
-  0x53e39be9, 0xc32b3c75, 0x53d7a9d3, 0xc32755e5,
-  0x53cbb6f8, 0xc32371ae, 0x53bfc35b, 0xc31f8fcf,
-  0x53b3cefa, 0xc31bb049, 0x53a7d9d7, 0xc317d31c,
-  0x539be3f2, 0xc313f848, 0x538fed4b, 0xc3101fce,
-  0x5383f5e3, 0xc30c49ad, 0x5377fdbb, 0xc30875e5,
-  0x536c04d2, 0xc304a477, 0x53600b2a, 0xc300d563,
-  0x535410c3, 0xc2fd08a9, 0x5348159d, 0xc2f93e4a,
-  0x533c19b8, 0xc2f57644, 0x53301d16, 0xc2f1b099,
-  0x53241fb6, 0xc2eded49, 0x5318219a, 0xc2ea2c53,
-  0x530c22c1, 0xc2e66db8, 0x5300232c, 0xc2e2b178,
-  0x52f422db, 0xc2def794, 0x52e821cf, 0xc2db400a,
-  0x52dc2009, 0xc2d78add, 0x52d01d89, 0xc2d3d80a,
-  0x52c41a4f, 0xc2d02794, 0x52b8165b, 0xc2cc7979,
-  0x52ac11af, 0xc2c8cdbb, 0x52a00c4b, 0xc2c52459,
-  0x5294062f, 0xc2c17d52, 0x5287ff5b, 0xc2bdd8a9,
-  0x527bf7d1, 0xc2ba365c, 0x526fef90, 0xc2b6966c,
-  0x5263e699, 0xc2b2f8d8, 0x5257dced, 0xc2af5da2,
-  0x524bd28c, 0xc2abc4c9, 0x523fc776, 0xc2a82e4d,
-  0x5233bbac, 0xc2a49a2e, 0x5227af2e, 0xc2a1086d,
-  0x521ba1fd, 0xc29d790a, 0x520f941a, 0xc299ec05,
-  0x52038584, 0xc296615d, 0x51f7763c, 0xc292d914,
-  0x51eb6643, 0xc28f5329, 0x51df5599, 0xc28bcf9c,
-  0x51d3443f, 0xc2884e6e, 0x51c73235, 0xc284cf9f,
-  0x51bb1f7c, 0xc281532e, 0x51af0c13, 0xc27dd91c,
-  0x51a2f7fc, 0xc27a616a, 0x5196e337, 0xc276ec16,
-  0x518acdc4, 0xc2737922, 0x517eb7a4, 0xc270088e,
-  0x5172a0d7, 0xc26c9a58, 0x5166895f, 0xc2692e83,
-  0x515a713a, 0xc265c50e, 0x514e586a, 0xc2625df8,
-  0x51423ef0, 0xc25ef943, 0x513624cb, 0xc25b96ee,
-  0x512a09fc, 0xc25836f9, 0x511dee84, 0xc254d965,
-  0x5111d263, 0xc2517e31, 0x5105b599, 0xc24e255e,
-  0x50f99827, 0xc24aceed, 0x50ed7a0e, 0xc2477adc,
-  0x50e15b4e, 0xc244292c, 0x50d53be7, 0xc240d9de,
-  0x50c91bda, 0xc23d8cf1, 0x50bcfb28, 0xc23a4265,
-  0x50b0d9d0, 0xc236fa3b, 0x50a4b7d3, 0xc233b473,
-  0x50989532, 0xc230710d, 0x508c71ee, 0xc22d3009,
-  0x50804e06, 0xc229f167, 0x5074297b, 0xc226b528,
-  0x5068044e, 0xc2237b4b, 0x505bde7f, 0xc22043d0,
-  0x504fb80e, 0xc21d0eb8, 0x504390fd, 0xc219dc03,
-  0x5037694b, 0xc216abb1, 0x502b40f8, 0xc2137dc2,
-  0x501f1807, 0xc2105236, 0x5012ee76, 0xc20d290d,
-  0x5006c446, 0xc20a0248, 0x4ffa9979, 0xc206dde6,
-  0x4fee6e0d, 0xc203bbe8, 0x4fe24205, 0xc2009c4e,
-  0x4fd6155f, 0xc1fd7f17, 0x4fc9e81e, 0xc1fa6445,
-  0x4fbdba40, 0xc1f74bd6, 0x4fb18bc8, 0xc1f435cc,
-  0x4fa55cb4, 0xc1f12227, 0x4f992d06, 0xc1ee10e5,
-  0x4f8cfcbe, 0xc1eb0209, 0x4f80cbdc, 0xc1e7f591,
-  0x4f749a61, 0xc1e4eb7e, 0x4f68684e, 0xc1e1e3d0,
-  0x4f5c35a3, 0xc1dede87, 0x4f500260, 0xc1dbdba3,
-  0x4f43ce86, 0xc1d8db25, 0x4f379a16, 0xc1d5dd0c,
-  0x4f2b650f, 0xc1d2e158, 0x4f1f2f73, 0xc1cfe80a,
-  0x4f12f941, 0xc1ccf122, 0x4f06c27a, 0xc1c9fca0,
-  0x4efa8b20, 0xc1c70a84, 0x4eee5331, 0xc1c41ace,
-  0x4ee21aaf, 0xc1c12d7e, 0x4ed5e19a, 0xc1be4294,
-  0x4ec9a7f3, 0xc1bb5a11, 0x4ebd6db9, 0xc1b873f5,
-  0x4eb132ef, 0xc1b5903f, 0x4ea4f793, 0xc1b2aef0,
-  0x4e98bba7, 0xc1afd007, 0x4e8c7f2a, 0xc1acf386,
-  0x4e80421e, 0xc1aa196c, 0x4e740483, 0xc1a741b9,
-  0x4e67c65a, 0xc1a46c6e, 0x4e5b87a2, 0xc1a1998a,
-  0x4e4f485c, 0xc19ec90d, 0x4e430889, 0xc19bfaf9,
-  0x4e36c82a, 0xc1992f4c, 0x4e2a873e, 0xc1966606,
-  0x4e1e45c6, 0xc1939f29, 0x4e1203c3, 0xc190dab4,
-  0x4e05c135, 0xc18e18a7, 0x4df97e1d, 0xc18b5903,
-  0x4ded3a7b, 0xc1889bc6, 0x4de0f64f, 0xc185e0f3,
-  0x4dd4b19a, 0xc1832888, 0x4dc86c5d, 0xc1807285,
-  0x4dbc2698, 0xc17dbeec, 0x4dafe04b, 0xc17b0dbb,
-  0x4da39978, 0xc1785ef4, 0x4d97521d, 0xc175b296,
-  0x4d8b0a3d, 0xc17308a1, 0x4d7ec1d6, 0xc1706115,
-  0x4d7278eb, 0xc16dbbf3, 0x4d662f7b, 0xc16b193a,
-  0x4d59e586, 0xc16878eb, 0x4d4d9b0e, 0xc165db05,
-  0x4d415013, 0xc1633f8a, 0x4d350495, 0xc160a678,
-  0x4d28b894, 0xc15e0fd1, 0x4d1c6c11, 0xc15b7b94,
-  0x4d101f0e, 0xc158e9c1, 0x4d03d189, 0xc1565a58,
-  0x4cf78383, 0xc153cd5a, 0x4ceb34fe, 0xc15142c6,
-  0x4cdee5f9, 0xc14eba9d, 0x4cd29676, 0xc14c34df,
-  0x4cc64673, 0xc149b18b, 0x4cb9f5f3, 0xc14730a3,
-  0x4cada4f5, 0xc144b225, 0x4ca1537a, 0xc1423613,
-  0x4c950182, 0xc13fbc6c, 0x4c88af0e, 0xc13d4530,
-  0x4c7c5c1e, 0xc13ad060, 0x4c7008b3, 0xc1385dfb,
-  0x4c63b4ce, 0xc135ee02, 0x4c57606e, 0xc1338075,
-  0x4c4b0b94, 0xc1311553, 0x4c3eb641, 0xc12eac9d,
-  0x4c326075, 0xc12c4653, 0x4c260a31, 0xc129e276,
-  0x4c19b374, 0xc1278104, 0x4c0d5c41, 0xc12521ff,
-  0x4c010496, 0xc122c566, 0x4bf4ac75, 0xc1206b39,
-  0x4be853de, 0xc11e1379, 0x4bdbfad1, 0xc11bbe26,
-  0x4bcfa150, 0xc1196b3f, 0x4bc34759, 0xc1171ac6,
-  0x4bb6ecef, 0xc114ccb9, 0x4baa9211, 0xc1128119,
-  0x4b9e36c0, 0xc11037e6, 0x4b91dafc, 0xc10df120,
-  0x4b857ec7, 0xc10bacc8, 0x4b79221f, 0xc1096add,
-  0x4b6cc506, 0xc1072b5f, 0x4b60677c, 0xc104ee4f,
-  0x4b540982, 0xc102b3ac, 0x4b47ab19, 0xc1007b77,
-  0x4b3b4c40, 0xc0fe45b0, 0x4b2eecf8, 0xc0fc1257,
-  0x4b228d42, 0xc0f9e16b, 0x4b162d1d, 0xc0f7b2ee,
-  0x4b09cc8c, 0xc0f586df, 0x4afd6b8d, 0xc0f35d3e,
-  0x4af10a22, 0xc0f1360b, 0x4ae4a84b, 0xc0ef1147,
-  0x4ad84609, 0xc0eceef1, 0x4acbe35b, 0xc0eacf09,
-  0x4abf8043, 0xc0e8b190, 0x4ab31cc1, 0xc0e69686,
-  0x4aa6b8d5, 0xc0e47deb, 0x4a9a5480, 0xc0e267be,
-  0x4a8defc3, 0xc0e05401, 0x4a818a9d, 0xc0de42b2,
-  0x4a752510, 0xc0dc33d2, 0x4a68bf1b, 0xc0da2762,
-  0x4a5c58c0, 0xc0d81d61, 0x4a4ff1fe, 0xc0d615cf,
-  0x4a438ad7, 0xc0d410ad, 0x4a37234a, 0xc0d20dfa,
-  0x4a2abb59, 0xc0d00db6, 0x4a1e5303, 0xc0ce0fe3,
-  0x4a11ea49, 0xc0cc147f, 0x4a05812c, 0xc0ca1b8a,
-  0x49f917ac, 0xc0c82506, 0x49ecadc9, 0xc0c630f2,
-  0x49e04385, 0xc0c43f4d, 0x49d3d8df, 0xc0c25019,
-  0x49c76dd8, 0xc0c06355, 0x49bb0271, 0xc0be7901,
-  0x49ae96aa, 0xc0bc911d, 0x49a22a83, 0xc0baabaa,
-  0x4995bdfd, 0xc0b8c8a7, 0x49895118, 0xc0b6e815,
-  0x497ce3d5, 0xc0b509f3, 0x49707635, 0xc0b32e42,
-  0x49640837, 0xc0b15502, 0x495799dd, 0xc0af7e33,
-  0x494b2b27, 0xc0ada9d4, 0x493ebc14, 0xc0abd7e6,
-  0x49324ca7, 0xc0aa086a, 0x4925dcdf, 0xc0a83b5e,
-  0x49196cbc, 0xc0a670c4, 0x490cfc40, 0xc0a4a89b,
-  0x49008b6a, 0xc0a2e2e3, 0x48f41a3c, 0xc0a11f9d,
-  0x48e7a8b5, 0xc09f5ec8, 0x48db36d6, 0xc09da065,
-  0x48cec4a0, 0xc09be473, 0x48c25213, 0xc09a2af3,
-  0x48b5df30, 0xc09873e4, 0x48a96bf6, 0xc096bf48,
-  0x489cf867, 0xc0950d1d, 0x48908483, 0xc0935d64,
-  0x4884104b, 0xc091b01d, 0x48779bbe, 0xc0900548,
-  0x486b26de, 0xc08e5ce5, 0x485eb1ab, 0xc08cb6f5,
-  0x48523c25, 0xc08b1376, 0x4845c64d, 0xc089726a,
-  0x48395024, 0xc087d3d0, 0x482cd9a9, 0xc08637a9,
-  0x482062de, 0xc0849df4, 0x4813ebc2, 0xc08306b2,
-  0x48077457, 0xc08171e2, 0x47fafc9c, 0xc07fdf85,
-  0x47ee8493, 0xc07e4f9b, 0x47e20c3b, 0xc07cc223,
-  0x47d59396, 0xc07b371e, 0x47c91aa3, 0xc079ae8c,
-  0x47bca163, 0xc078286e, 0x47b027d7, 0xc076a4c2,
-  0x47a3adff, 0xc0752389, 0x479733dc, 0xc073a4c3,
-  0x478ab96e, 0xc0722871, 0x477e3eb5, 0xc070ae92,
-  0x4771c3b3, 0xc06f3726, 0x47654867, 0xc06dc22e,
-  0x4758ccd2, 0xc06c4fa8, 0x474c50f4, 0xc06adf97,
-  0x473fd4cf, 0xc06971f9, 0x47335862, 0xc06806ce,
-  0x4726dbae, 0xc0669e18, 0x471a5eb3, 0xc06537d4,
-  0x470de172, 0xc063d405, 0x470163eb, 0xc06272aa,
-  0x46f4e620, 0xc06113c2, 0x46e86810, 0xc05fb74e,
-  0x46dbe9bb, 0xc05e5d4e, 0x46cf6b23, 0xc05d05c3,
-  0x46c2ec48, 0xc05bb0ab, 0x46b66d29, 0xc05a5e07,
-  0x46a9edc9, 0xc0590dd8, 0x469d6e27, 0xc057c01d,
-  0x4690ee44, 0xc05674d6, 0x46846e1f, 0xc0552c03,
-  0x4677edbb, 0xc053e5a5, 0x466b6d16, 0xc052a1bb,
-  0x465eec33, 0xc0516045, 0x46526b10, 0xc0502145,
-  0x4645e9af, 0xc04ee4b8, 0x46396810, 0xc04daaa1,
-  0x462ce634, 0xc04c72fe, 0x4620641a, 0xc04b3dcf,
-  0x4613e1c5, 0xc04a0b16, 0x46075f33, 0xc048dad1,
-  0x45fadc66, 0xc047ad01, 0x45ee595d, 0xc04681a6,
-  0x45e1d61b, 0xc04558c0, 0x45d5529e, 0xc044324f,
-  0x45c8cee7, 0xc0430e53, 0x45bc4af8, 0xc041eccc,
-  0x45afc6d0, 0xc040cdba, 0x45a3426f, 0xc03fb11d,
-  0x4596bdd7, 0xc03e96f6, 0x458a3908, 0xc03d7f44,
-  0x457db403, 0xc03c6a07, 0x45712ec7, 0xc03b573f,
-  0x4564a955, 0xc03a46ed, 0x455823ae, 0xc0393910,
-  0x454b9dd3, 0xc0382da8, 0x453f17c3, 0xc03724b6,
-  0x4532917f, 0xc0361e3a, 0x45260b08, 0xc0351a33,
-  0x4519845e, 0xc03418a2, 0x450cfd82, 0xc0331986,
-  0x45007674, 0xc0321ce0, 0x44f3ef35, 0xc03122b0,
-  0x44e767c5, 0xc0302af5, 0x44dae024, 0xc02f35b1,
-  0x44ce5854, 0xc02e42e2, 0x44c1d054, 0xc02d5289,
-  0x44b54825, 0xc02c64a6, 0x44a8bfc7, 0xc02b7939,
-  0x449c373c, 0xc02a9042, 0x448fae83, 0xc029a9c1,
-  0x4483259d, 0xc028c5b6, 0x44769c8b, 0xc027e421,
-  0x446a134c, 0xc0270502, 0x445d89e2, 0xc0262859,
-  0x4451004d, 0xc0254e27, 0x4444768d, 0xc024766a,
-  0x4437eca4, 0xc023a124, 0x442b6290, 0xc022ce54,
-  0x441ed854, 0xc021fdfb, 0x44124dee, 0xc0213018,
-  0x4405c361, 0xc02064ab, 0x43f938ac, 0xc01f9bb5,
-  0x43ecadcf, 0xc01ed535, 0x43e022cc, 0xc01e112b,
-  0x43d397a3, 0xc01d4f99, 0x43c70c54, 0xc01c907c,
-  0x43ba80df, 0xc01bd3d6, 0x43adf546, 0xc01b19a7,
-  0x43a16988, 0xc01a61ee, 0x4394dda7, 0xc019acac,
-  0x438851a2, 0xc018f9e1, 0x437bc57b, 0xc018498c,
-  0x436f3931, 0xc0179bae, 0x4362acc5, 0xc016f047,
-  0x43562038, 0xc0164757, 0x43499389, 0xc015a0dd,
-  0x433d06bb, 0xc014fcda, 0x433079cc, 0xc0145b4e,
-  0x4323ecbe, 0xc013bc39, 0x43175f91, 0xc0131f9b,
-  0x430ad245, 0xc0128574, 0x42fe44dc, 0xc011edc3,
-  0x42f1b755, 0xc011588a, 0x42e529b0, 0xc010c5c7,
-  0x42d89bf0, 0xc010357c, 0x42cc0e13, 0xc00fa7a8,
-  0x42bf801a, 0xc00f1c4a, 0x42b2f207, 0xc00e9364,
-  0x42a663d8, 0xc00e0cf5, 0x4299d590, 0xc00d88fd,
-  0x428d472e, 0xc00d077c, 0x4280b8b3, 0xc00c8872,
-  0x42742a1f, 0xc00c0be0, 0x42679b73, 0xc00b91c4,
-  0x425b0caf, 0xc00b1a20, 0x424e7dd4, 0xc00aa4f3,
-  0x4241eee2, 0xc00a323d, 0x42355fd9, 0xc009c1ff,
-  0x4228d0bb, 0xc0095438, 0x421c4188, 0xc008e8e8,
-  0x420fb240, 0xc008800f, 0x420322e3, 0xc00819ae,
-  0x41f69373, 0xc007b5c4, 0x41ea03ef, 0xc0075452,
-  0x41dd7459, 0xc006f556, 0x41d0e4b0, 0xc00698d3,
-  0x41c454f5, 0xc0063ec6, 0x41b7c528, 0xc005e731,
-  0x41ab354b, 0xc0059214, 0x419ea55d, 0xc0053f6e,
-  0x4192155f, 0xc004ef3f, 0x41858552, 0xc004a188,
-  0x4178f536, 0xc0045648, 0x416c650b, 0xc0040d80,
-  0x415fd4d2, 0xc003c72f, 0x4153448c, 0xc0038356,
-  0x4146b438, 0xc00341f4, 0x413a23d8, 0xc003030a,
-  0x412d936c, 0xc002c697, 0x412102f4, 0xc0028c9c,
-  0x41147271, 0xc0025519, 0x4107e1e3, 0xc002200d,
-  0x40fb514b, 0xc001ed78, 0x40eec0aa, 0xc001bd5c,
-  0x40e22fff, 0xc0018fb6, 0x40d59f4c, 0xc0016489,
-  0x40c90e90, 0xc0013bd3, 0x40bc7dcc, 0xc0011594,
-  0x40afed02, 0xc000f1ce, 0x40a35c30, 0xc000d07e,
-  0x4096cb58, 0xc000b1a7, 0x408a3a7b, 0xc0009547,
-  0x407da998, 0xc0007b5f, 0x407118b0, 0xc00063ee,
-  0x406487c4, 0xc0004ef5, 0x4057f6d4, 0xc0003c74,
-  0x404b65e1, 0xc0002c6a, 0x403ed4ea, 0xc0001ed8,
-  0x403243f1, 0xc00013bd, 0x4025b2f7, 0xc0000b1a,
-  0x401921fb, 0xc00004ef, 0x400c90fe, 0xc000013c,
+    0x40000000, 0x40000000, 0x400c90fe, 0x3ffffec4,
+    0x401921fb, 0x3ffffb11, 0x4025b2f7, 0x3ffff4e6,
+    0x403243f1, 0x3fffec43, 0x403ed4ea, 0x3fffe128,
+    0x404b65e1, 0x3fffd396, 0x4057f6d4, 0x3fffc38c,
+    0x406487c4, 0x3fffb10b, 0x407118b0, 0x3fff9c12,
+    0x407da998, 0x3fff84a1, 0x408a3a7b, 0x3fff6ab9,
+    0x4096cb58, 0x3fff4e59, 0x40a35c30, 0x3fff2f82,
+    0x40afed02, 0x3fff0e32, 0x40bc7dcc, 0x3ffeea6c,
+    0x40c90e90, 0x3ffec42d, 0x40d59f4c, 0x3ffe9b77,
+    0x40e22fff, 0x3ffe704a, 0x40eec0aa, 0x3ffe42a4,
+    0x40fb514b, 0x3ffe1288, 0x4107e1e3, 0x3ffddff3,
+    0x41147271, 0x3ffdaae7, 0x412102f4, 0x3ffd7364,
+    0x412d936c, 0x3ffd3969, 0x413a23d8, 0x3ffcfcf6,
+    0x4146b438, 0x3ffcbe0c, 0x4153448c, 0x3ffc7caa,
+    0x415fd4d2, 0x3ffc38d1, 0x416c650b, 0x3ffbf280,
+    0x4178f536, 0x3ffba9b8, 0x41858552, 0x3ffb5e78,
+    0x4192155f, 0x3ffb10c1, 0x419ea55d, 0x3ffac092,
+    0x41ab354b, 0x3ffa6dec, 0x41b7c528, 0x3ffa18cf,
+    0x41c454f5, 0x3ff9c13a, 0x41d0e4b0, 0x3ff9672d,
+    0x41dd7459, 0x3ff90aaa, 0x41ea03ef, 0x3ff8abae,
+    0x41f69373, 0x3ff84a3c, 0x420322e3, 0x3ff7e652,
+    0x420fb240, 0x3ff77ff1, 0x421c4188, 0x3ff71718,
+    0x4228d0bb, 0x3ff6abc8, 0x42355fd9, 0x3ff63e01,
+    0x4241eee2, 0x3ff5cdc3, 0x424e7dd4, 0x3ff55b0d,
+    0x425b0caf, 0x3ff4e5e0, 0x42679b73, 0x3ff46e3c,
+    0x42742a1f, 0x3ff3f420, 0x4280b8b3, 0x3ff3778e,
+    0x428d472e, 0x3ff2f884, 0x4299d590, 0x3ff27703,
+    0x42a663d8, 0x3ff1f30b, 0x42b2f207, 0x3ff16c9c,
+    0x42bf801a, 0x3ff0e3b6, 0x42cc0e13, 0x3ff05858,
+    0x42d89bf0, 0x3fefca84, 0x42e529b0, 0x3fef3a39,
+    0x42f1b755, 0x3feea776, 0x42fe44dc, 0x3fee123d,
+    0x430ad245, 0x3fed7a8c, 0x43175f91, 0x3fece065,
+    0x4323ecbe, 0x3fec43c7, 0x433079cc, 0x3feba4b2,
+    0x433d06bb, 0x3feb0326, 0x43499389, 0x3fea5f23,
+    0x43562038, 0x3fe9b8a9, 0x4362acc5, 0x3fe90fb9,
+    0x436f3931, 0x3fe86452, 0x437bc57b, 0x3fe7b674,
+    0x438851a2, 0x3fe7061f, 0x4394dda7, 0x3fe65354,
+    0x43a16988, 0x3fe59e12, 0x43adf546, 0x3fe4e659,
+    0x43ba80df, 0x3fe42c2a, 0x43c70c54, 0x3fe36f84,
+    0x43d397a3, 0x3fe2b067, 0x43e022cc, 0x3fe1eed5,
+    0x43ecadcf, 0x3fe12acb, 0x43f938ac, 0x3fe0644b,
+    0x4405c361, 0x3fdf9b55, 0x44124dee, 0x3fdecfe8,
+    0x441ed854, 0x3fde0205, 0x442b6290, 0x3fdd31ac,
+    0x4437eca4, 0x3fdc5edc, 0x4444768d, 0x3fdb8996,
+    0x4451004d, 0x3fdab1d9, 0x445d89e2, 0x3fd9d7a7,
+    0x446a134c, 0x3fd8fafe, 0x44769c8b, 0x3fd81bdf,
+    0x4483259d, 0x3fd73a4a, 0x448fae83, 0x3fd6563f,
+    0x449c373c, 0x3fd56fbe, 0x44a8bfc7, 0x3fd486c7,
+    0x44b54825, 0x3fd39b5a, 0x44c1d054, 0x3fd2ad77,
+    0x44ce5854, 0x3fd1bd1e, 0x44dae024, 0x3fd0ca4f,
+    0x44e767c5, 0x3fcfd50b, 0x44f3ef35, 0x3fcedd50,
+    0x45007674, 0x3fcde320, 0x450cfd82, 0x3fcce67a,
+    0x4519845e, 0x3fcbe75e, 0x45260b08, 0x3fcae5cd,
+    0x4532917f, 0x3fc9e1c6, 0x453f17c3, 0x3fc8db4a,
+    0x454b9dd3, 0x3fc7d258, 0x455823ae, 0x3fc6c6f0,
+    0x4564a955, 0x3fc5b913, 0x45712ec7, 0x3fc4a8c1,
+    0x457db403, 0x3fc395f9, 0x458a3908, 0x3fc280bc,
+    0x4596bdd7, 0x3fc1690a, 0x45a3426f, 0x3fc04ee3,
+    0x45afc6d0, 0x3fbf3246, 0x45bc4af8, 0x3fbe1334,
+    0x45c8cee7, 0x3fbcf1ad, 0x45d5529e, 0x3fbbcdb1,
+    0x45e1d61b, 0x3fbaa740, 0x45ee595d, 0x3fb97e5a,
+    0x45fadc66, 0x3fb852ff, 0x46075f33, 0x3fb7252f,
+    0x4613e1c5, 0x3fb5f4ea, 0x4620641a, 0x3fb4c231,
+    0x462ce634, 0x3fb38d02, 0x46396810, 0x3fb2555f,
+    0x4645e9af, 0x3fb11b48, 0x46526b10, 0x3fafdebb,
+    0x465eec33, 0x3fae9fbb, 0x466b6d16, 0x3fad5e45,
+    0x4677edbb, 0x3fac1a5b, 0x46846e1f, 0x3faad3fd,
+    0x4690ee44, 0x3fa98b2a, 0x469d6e27, 0x3fa83fe3,
+    0x46a9edc9, 0x3fa6f228, 0x46b66d29, 0x3fa5a1f9,
+    0x46c2ec48, 0x3fa44f55, 0x46cf6b23, 0x3fa2fa3d,
+    0x46dbe9bb, 0x3fa1a2b2, 0x46e86810, 0x3fa048b2,
+    0x46f4e620, 0x3f9eec3e, 0x470163eb, 0x3f9d8d56,
+    0x470de172, 0x3f9c2bfb, 0x471a5eb3, 0x3f9ac82c,
+    0x4726dbae, 0x3f9961e8, 0x47335862, 0x3f97f932,
+    0x473fd4cf, 0x3f968e07, 0x474c50f4, 0x3f952069,
+    0x4758ccd2, 0x3f93b058, 0x47654867, 0x3f923dd2,
+    0x4771c3b3, 0x3f90c8da, 0x477e3eb5, 0x3f8f516e,
+    0x478ab96e, 0x3f8dd78f, 0x479733dc, 0x3f8c5b3d,
+    0x47a3adff, 0x3f8adc77, 0x47b027d7, 0x3f895b3e,
+    0x47bca163, 0x3f87d792, 0x47c91aa3, 0x3f865174,
+    0x47d59396, 0x3f84c8e2, 0x47e20c3b, 0x3f833ddd,
+    0x47ee8493, 0x3f81b065, 0x47fafc9c, 0x3f80207b,
+    0x48077457, 0x3f7e8e1e, 0x4813ebc2, 0x3f7cf94e,
+    0x482062de, 0x3f7b620c, 0x482cd9a9, 0x3f79c857,
+    0x48395024, 0x3f782c30, 0x4845c64d, 0x3f768d96,
+    0x48523c25, 0x3f74ec8a, 0x485eb1ab, 0x3f73490b,
+    0x486b26de, 0x3f71a31b, 0x48779bbe, 0x3f6ffab8,
+    0x4884104b, 0x3f6e4fe3, 0x48908483, 0x3f6ca29c,
+    0x489cf867, 0x3f6af2e3, 0x48a96bf6, 0x3f6940b8,
+    0x48b5df30, 0x3f678c1c, 0x48c25213, 0x3f65d50d,
+    0x48cec4a0, 0x3f641b8d, 0x48db36d6, 0x3f625f9b,
+    0x48e7a8b5, 0x3f60a138, 0x48f41a3c, 0x3f5ee063,
+    0x49008b6a, 0x3f5d1d1d, 0x490cfc40, 0x3f5b5765,
+    0x49196cbc, 0x3f598f3c, 0x4925dcdf, 0x3f57c4a2,
+    0x49324ca7, 0x3f55f796, 0x493ebc14, 0x3f54281a,
+    0x494b2b27, 0x3f52562c, 0x495799dd, 0x3f5081cd,
+    0x49640837, 0x3f4eaafe, 0x49707635, 0x3f4cd1be,
+    0x497ce3d5, 0x3f4af60d, 0x49895118, 0x3f4917eb,
+    0x4995bdfd, 0x3f473759, 0x49a22a83, 0x3f455456,
+    0x49ae96aa, 0x3f436ee3, 0x49bb0271, 0x3f4186ff,
+    0x49c76dd8, 0x3f3f9cab, 0x49d3d8df, 0x3f3dafe7,
+    0x49e04385, 0x3f3bc0b3, 0x49ecadc9, 0x3f39cf0e,
+    0x49f917ac, 0x3f37dafa, 0x4a05812c, 0x3f35e476,
+    0x4a11ea49, 0x3f33eb81, 0x4a1e5303, 0x3f31f01d,
+    0x4a2abb59, 0x3f2ff24a, 0x4a37234a, 0x3f2df206,
+    0x4a438ad7, 0x3f2bef53, 0x4a4ff1fe, 0x3f29ea31,
+    0x4a5c58c0, 0x3f27e29f, 0x4a68bf1b, 0x3f25d89e,
+    0x4a752510, 0x3f23cc2e, 0x4a818a9d, 0x3f21bd4e,
+    0x4a8defc3, 0x3f1fabff, 0x4a9a5480, 0x3f1d9842,
+    0x4aa6b8d5, 0x3f1b8215, 0x4ab31cc1, 0x3f19697a,
+    0x4abf8043, 0x3f174e70, 0x4acbe35b, 0x3f1530f7,
+    0x4ad84609, 0x3f13110f, 0x4ae4a84b, 0x3f10eeb9,
+    0x4af10a22, 0x3f0ec9f5, 0x4afd6b8d, 0x3f0ca2c2,
+    0x4b09cc8c, 0x3f0a7921, 0x4b162d1d, 0x3f084d12,
+    0x4b228d42, 0x3f061e95, 0x4b2eecf8, 0x3f03eda9,
+    0x4b3b4c40, 0x3f01ba50, 0x4b47ab19, 0x3eff8489,
+    0x4b540982, 0x3efd4c54, 0x4b60677c, 0x3efb11b1,
+    0x4b6cc506, 0x3ef8d4a1, 0x4b79221f, 0x3ef69523,
+    0x4b857ec7, 0x3ef45338, 0x4b91dafc, 0x3ef20ee0,
+    0x4b9e36c0, 0x3eefc81a, 0x4baa9211, 0x3eed7ee7,
+    0x4bb6ecef, 0x3eeb3347, 0x4bc34759, 0x3ee8e53a,
+    0x4bcfa150, 0x3ee694c1, 0x4bdbfad1, 0x3ee441da,
+    0x4be853de, 0x3ee1ec87, 0x4bf4ac75, 0x3edf94c7,
+    0x4c010496, 0x3edd3a9a, 0x4c0d5c41, 0x3edade01,
+    0x4c19b374, 0x3ed87efc, 0x4c260a31, 0x3ed61d8a,
+    0x4c326075, 0x3ed3b9ad, 0x4c3eb641, 0x3ed15363,
+    0x4c4b0b94, 0x3eceeaad, 0x4c57606e, 0x3ecc7f8b,
+    0x4c63b4ce, 0x3eca11fe, 0x4c7008b3, 0x3ec7a205,
+    0x4c7c5c1e, 0x3ec52fa0, 0x4c88af0e, 0x3ec2bad0,
+    0x4c950182, 0x3ec04394, 0x4ca1537a, 0x3ebdc9ed,
+    0x4cada4f5, 0x3ebb4ddb, 0x4cb9f5f3, 0x3eb8cf5d,
+    0x4cc64673, 0x3eb64e75, 0x4cd29676, 0x3eb3cb21,
+    0x4cdee5f9, 0x3eb14563, 0x4ceb34fe, 0x3eaebd3a,
+    0x4cf78383, 0x3eac32a6, 0x4d03d189, 0x3ea9a5a8,
+    0x4d101f0e, 0x3ea7163f, 0x4d1c6c11, 0x3ea4846c,
+    0x4d28b894, 0x3ea1f02f, 0x4d350495, 0x3e9f5988,
+    0x4d415013, 0x3e9cc076, 0x4d4d9b0e, 0x3e9a24fb,
+    0x4d59e586, 0x3e978715, 0x4d662f7b, 0x3e94e6c6,
+    0x4d7278eb, 0x3e92440d, 0x4d7ec1d6, 0x3e8f9eeb,
+    0x4d8b0a3d, 0x3e8cf75f, 0x4d97521d, 0x3e8a4d6a,
+    0x4da39978, 0x3e87a10c, 0x4dafe04b, 0x3e84f245,
+    0x4dbc2698, 0x3e824114, 0x4dc86c5d, 0x3e7f8d7b,
+    0x4dd4b19a, 0x3e7cd778, 0x4de0f64f, 0x3e7a1f0d,
+    0x4ded3a7b, 0x3e77643a, 0x4df97e1d, 0x3e74a6fd,
+    0x4e05c135, 0x3e71e759, 0x4e1203c3, 0x3e6f254c,
+    0x4e1e45c6, 0x3e6c60d7, 0x4e2a873e, 0x3e6999fa,
+    0x4e36c82a, 0x3e66d0b4, 0x4e430889, 0x3e640507,
+    0x4e4f485c, 0x3e6136f3, 0x4e5b87a2, 0x3e5e6676,
+    0x4e67c65a, 0x3e5b9392, 0x4e740483, 0x3e58be47,
+    0x4e80421e, 0x3e55e694, 0x4e8c7f2a, 0x3e530c7a,
+    0x4e98bba7, 0x3e502ff9, 0x4ea4f793, 0x3e4d5110,
+    0x4eb132ef, 0x3e4a6fc1, 0x4ebd6db9, 0x3e478c0b,
+    0x4ec9a7f3, 0x3e44a5ef, 0x4ed5e19a, 0x3e41bd6c,
+    0x4ee21aaf, 0x3e3ed282, 0x4eee5331, 0x3e3be532,
+    0x4efa8b20, 0x3e38f57c, 0x4f06c27a, 0x3e360360,
+    0x4f12f941, 0x3e330ede, 0x4f1f2f73, 0x3e3017f6,
+    0x4f2b650f, 0x3e2d1ea8, 0x4f379a16, 0x3e2a22f4,
+    0x4f43ce86, 0x3e2724db, 0x4f500260, 0x3e24245d,
+    0x4f5c35a3, 0x3e212179, 0x4f68684e, 0x3e1e1c30,
+    0x4f749a61, 0x3e1b1482, 0x4f80cbdc, 0x3e180a6f,
+    0x4f8cfcbe, 0x3e14fdf7, 0x4f992d06, 0x3e11ef1b,
+    0x4fa55cb4, 0x3e0eddd9, 0x4fb18bc8, 0x3e0bca34,
+    0x4fbdba40, 0x3e08b42a, 0x4fc9e81e, 0x3e059bbb,
+    0x4fd6155f, 0x3e0280e9, 0x4fe24205, 0x3dff63b2,
+    0x4fee6e0d, 0x3dfc4418, 0x4ffa9979, 0x3df9221a,
+    0x5006c446, 0x3df5fdb8, 0x5012ee76, 0x3df2d6f3,
+    0x501f1807, 0x3defadca, 0x502b40f8, 0x3dec823e,
+    0x5037694b, 0x3de9544f, 0x504390fd, 0x3de623fd,
+    0x504fb80e, 0x3de2f148, 0x505bde7f, 0x3ddfbc30,
+    0x5068044e, 0x3ddc84b5, 0x5074297b, 0x3dd94ad8,
+    0x50804e06, 0x3dd60e99, 0x508c71ee, 0x3dd2cff7,
+    0x50989532, 0x3dcf8ef3, 0x50a4b7d3, 0x3dcc4b8d,
+    0x50b0d9d0, 0x3dc905c5, 0x50bcfb28, 0x3dc5bd9b,
+    0x50c91bda, 0x3dc2730f, 0x50d53be7, 0x3dbf2622,
+    0x50e15b4e, 0x3dbbd6d4, 0x50ed7a0e, 0x3db88524,
+    0x50f99827, 0x3db53113, 0x5105b599, 0x3db1daa2,
+    0x5111d263, 0x3dae81cf, 0x511dee84, 0x3dab269b,
+    0x512a09fc, 0x3da7c907, 0x513624cb, 0x3da46912,
+    0x51423ef0, 0x3da106bd, 0x514e586a, 0x3d9da208,
+    0x515a713a, 0x3d9a3af2, 0x5166895f, 0x3d96d17d,
+    0x5172a0d7, 0x3d9365a8, 0x517eb7a4, 0x3d8ff772,
+    0x518acdc4, 0x3d8c86de, 0x5196e337, 0x3d8913ea,
+    0x51a2f7fc, 0x3d859e96, 0x51af0c13, 0x3d8226e4,
+    0x51bb1f7c, 0x3d7eacd2, 0x51c73235, 0x3d7b3061,
+    0x51d3443f, 0x3d77b192, 0x51df5599, 0x3d743064,
+    0x51eb6643, 0x3d70acd7, 0x51f7763c, 0x3d6d26ec,
+    0x52038584, 0x3d699ea3, 0x520f941a, 0x3d6613fb,
+    0x521ba1fd, 0x3d6286f6, 0x5227af2e, 0x3d5ef793,
+    0x5233bbac, 0x3d5b65d2, 0x523fc776, 0x3d57d1b3,
+    0x524bd28c, 0x3d543b37, 0x5257dced, 0x3d50a25e,
+    0x5263e699, 0x3d4d0728, 0x526fef90, 0x3d496994,
+    0x527bf7d1, 0x3d45c9a4, 0x5287ff5b, 0x3d422757,
+    0x5294062f, 0x3d3e82ae, 0x52a00c4b, 0x3d3adba7,
+    0x52ac11af, 0x3d373245, 0x52b8165b, 0x3d338687,
+    0x52c41a4f, 0x3d2fd86c, 0x52d01d89, 0x3d2c27f6,
+    0x52dc2009, 0x3d287523, 0x52e821cf, 0x3d24bff6,
+    0x52f422db, 0x3d21086c, 0x5300232c, 0x3d1d4e88,
+    0x530c22c1, 0x3d199248, 0x5318219a, 0x3d15d3ad,
+    0x53241fb6, 0x3d1212b7, 0x53301d16, 0x3d0e4f67,
+    0x533c19b8, 0x3d0a89bc, 0x5348159d, 0x3d06c1b6,
+    0x535410c3, 0x3d02f757, 0x53600b2a, 0x3cff2a9d,
+    0x536c04d2, 0x3cfb5b89, 0x5377fdbb, 0x3cf78a1b,
+    0x5383f5e3, 0x3cf3b653, 0x538fed4b, 0x3cefe032,
+    0x539be3f2, 0x3cec07b8, 0x53a7d9d7, 0x3ce82ce4,
+    0x53b3cefa, 0x3ce44fb7, 0x53bfc35b, 0x3ce07031,
+    0x53cbb6f8, 0x3cdc8e52, 0x53d7a9d3, 0x3cd8aa1b,
+    0x53e39be9, 0x3cd4c38b, 0x53ef8d3c, 0x3cd0daa2,
+    0x53fb7dc9, 0x3cccef62, 0x54076d91, 0x3cc901c9,
+    0x54135c94, 0x3cc511d9, 0x541f4ad1, 0x3cc11f90,
+    0x542b3846, 0x3cbd2af0, 0x543724f5, 0x3cb933f9,
+    0x544310dd, 0x3cb53aaa, 0x544efbfc, 0x3cb13f04,
+    0x545ae653, 0x3cad4107, 0x5466cfe1, 0x3ca940b3,
+    0x5472b8a5, 0x3ca53e09, 0x547ea0a0, 0x3ca13908,
+    0x548a87d1, 0x3c9d31b0, 0x54966e36, 0x3c992803,
+    0x54a253d1, 0x3c951bff, 0x54ae38a0, 0x3c910da5,
+    0x54ba1ca3, 0x3c8cfcf6, 0x54c5ffd9, 0x3c88e9f1,
+    0x54d1e242, 0x3c84d496, 0x54ddc3de, 0x3c80bce7,
+    0x54e9a4ac, 0x3c7ca2e2, 0x54f584ac, 0x3c788688,
+    0x550163dc, 0x3c7467d9, 0x550d423d, 0x3c7046d6,
+    0x55191fcf, 0x3c6c237e, 0x5524fc90, 0x3c67fdd1,
+    0x5530d881, 0x3c63d5d1, 0x553cb3a0, 0x3c5fab7c,
+    0x55488dee, 0x3c5b7ed4, 0x5554676a, 0x3c574fd8,
+    0x55604013, 0x3c531e88, 0x556c17e9, 0x3c4eeae5,
+    0x5577eeec, 0x3c4ab4ef, 0x5583c51b, 0x3c467ca6,
+    0x558f9a76, 0x3c42420a, 0x559b6efb, 0x3c3e051b,
+    0x55a742ac, 0x3c39c5da, 0x55b31587, 0x3c358446,
+    0x55bee78c, 0x3c314060, 0x55cab8ba, 0x3c2cfa28,
+    0x55d68911, 0x3c28b19e, 0x55e25890, 0x3c2466c2,
+    0x55ee2738, 0x3c201994, 0x55f9f507, 0x3c1bca16,
+    0x5605c1fd, 0x3c177845, 0x56118e1a, 0x3c132424,
+    0x561d595d, 0x3c0ecdb2, 0x562923c5, 0x3c0a74f0,
+    0x5634ed53, 0x3c0619dc, 0x5640b606, 0x3c01bc78,
+    0x564c7ddd, 0x3bfd5cc4, 0x565844d8, 0x3bf8fac0,
+    0x56640af7, 0x3bf4966c, 0x566fd039, 0x3bf02fc9,
+    0x567b949d, 0x3bebc6d5, 0x56875823, 0x3be75b93,
+    0x56931acb, 0x3be2ee01, 0x569edc94, 0x3bde7e20,
+    0x56aa9d7e, 0x3bda0bf0, 0x56b65d88, 0x3bd59771,
+    0x56c21cb2, 0x3bd120a4, 0x56cddafb, 0x3bcca789,
+    0x56d99864, 0x3bc82c1f, 0x56e554ea, 0x3bc3ae67,
+    0x56f1108f, 0x3bbf2e62, 0x56fccb51, 0x3bbaac0e,
+    0x57088531, 0x3bb6276e, 0x57143e2d, 0x3bb1a080,
+    0x571ff646, 0x3bad1744, 0x572bad7a, 0x3ba88bbc,
+    0x573763c9, 0x3ba3fde7, 0x57431933, 0x3b9f6dc5,
+    0x574ecdb8, 0x3b9adb57, 0x575a8157, 0x3b96469d,
+    0x5766340f, 0x3b91af97, 0x5771e5e0, 0x3b8d1644,
+    0x577d96ca, 0x3b887aa6, 0x578946cc, 0x3b83dcbc,
+    0x5794f5e6, 0x3b7f3c87, 0x57a0a417, 0x3b7a9a07,
+    0x57ac515f, 0x3b75f53c, 0x57b7fdbd, 0x3b714e25,
+    0x57c3a931, 0x3b6ca4c4, 0x57cf53bb, 0x3b67f919,
+    0x57dafd59, 0x3b634b23, 0x57e6a60c, 0x3b5e9ae4,
+    0x57f24dd3, 0x3b59e85a, 0x57fdf4ae, 0x3b553386,
+    0x58099a9c, 0x3b507c69, 0x58153f9d, 0x3b4bc303,
+    0x5820e3b0, 0x3b470753, 0x582c86d5, 0x3b42495a,
+    0x5838290c, 0x3b3d8918, 0x5843ca53, 0x3b38c68e,
+    0x584f6aab, 0x3b3401bb, 0x585b0a13, 0x3b2f3aa0,
+    0x5866a88a, 0x3b2a713d, 0x58724611, 0x3b25a591,
+    0x587de2a7, 0x3b20d79e, 0x58897e4a, 0x3b1c0764,
+    0x589518fc, 0x3b1734e2, 0x58a0b2bb, 0x3b126019,
+    0x58ac4b87, 0x3b0d8909, 0x58b7e35f, 0x3b08afb2,
+    0x58c37a44, 0x3b03d414, 0x58cf1034, 0x3afef630,
+    0x58daa52f, 0x3afa1605, 0x58e63935, 0x3af53395,
+    0x58f1cc45, 0x3af04edf, 0x58fd5e5f, 0x3aeb67e3,
+    0x5908ef82, 0x3ae67ea1, 0x59147fae, 0x3ae1931a,
+    0x59200ee3, 0x3adca54e, 0x592b9d1f, 0x3ad7b53d,
+    0x59372a64, 0x3ad2c2e8, 0x5942b6af, 0x3acdce4d,
+    0x594e4201, 0x3ac8d76f, 0x5959cc5a, 0x3ac3de4c,
+    0x596555b8, 0x3abee2e5, 0x5970de1b, 0x3ab9e53a,
+    0x597c6584, 0x3ab4e54c, 0x5987ebf0, 0x3aafe31b,
+    0x59937161, 0x3aaadea6, 0x599ef5d6, 0x3aa5d7ee,
+    0x59aa794d, 0x3aa0cef3, 0x59b5fbc8, 0x3a9bc3b6,
+    0x59c17d44, 0x3a96b636, 0x59ccfdc2, 0x3a91a674,
+    0x59d87d42, 0x3a8c9470, 0x59e3fbc3, 0x3a87802a,
+    0x59ef7944, 0x3a8269a3, 0x59faf5c5, 0x3a7d50da,
+    0x5a067145, 0x3a7835cf, 0x5a11ebc5, 0x3a731884,
+    0x5a1d6544, 0x3a6df8f8, 0x5a28ddc0, 0x3a68d72b,
+    0x5a34553b, 0x3a63b31d, 0x5a3fcbb3, 0x3a5e8cd0,
+    0x5a4b4128, 0x3a596442, 0x5a56b599, 0x3a543974,
+    0x5a622907, 0x3a4f0c67, 0x5a6d9b70, 0x3a49dd1a,
+    0x5a790cd4, 0x3a44ab8e, 0x5a847d33, 0x3a3f77c3,
+    0x5a8fec8c, 0x3a3a41b9, 0x5a9b5adf, 0x3a350970,
+    0x5aa6c82b, 0x3a2fcee8, 0x5ab23471, 0x3a2a9223,
+    0x5abd9faf, 0x3a25531f, 0x5ac909e5, 0x3a2011de,
+    0x5ad47312, 0x3a1ace5f, 0x5adfdb37, 0x3a1588a2,
+    0x5aeb4253, 0x3a1040a8, 0x5af6a865, 0x3a0af671,
+    0x5b020d6c, 0x3a05a9fd, 0x5b0d716a, 0x3a005b4d,
+    0x5b18d45c, 0x39fb0a60, 0x5b243643, 0x39f5b737,
+    0x5b2f971e, 0x39f061d2, 0x5b3af6ec, 0x39eb0a31,
+    0x5b4655ae, 0x39e5b054, 0x5b51b363, 0x39e0543c,
+    0x5b5d100a, 0x39daf5e8, 0x5b686ba3, 0x39d5955a,
+    0x5b73c62d, 0x39d03291, 0x5b7f1fa9, 0x39cacd8d,
+    0x5b8a7815, 0x39c5664f, 0x5b95cf71, 0x39bffcd7,
+    0x5ba125bd, 0x39ba9125, 0x5bac7af9, 0x39b52339,
+    0x5bb7cf23, 0x39afb313, 0x5bc3223c, 0x39aa40b4,
+    0x5bce7442, 0x39a4cc1c, 0x5bd9c537, 0x399f554b,
+    0x5be51518, 0x3999dc42, 0x5bf063e6, 0x399460ff,
+    0x5bfbb1a0, 0x398ee385, 0x5c06fe46, 0x398963d2,
+    0x5c1249d8, 0x3983e1e8, 0x5c1d9454, 0x397e5dc6,
+    0x5c28ddbb, 0x3978d76c, 0x5c34260c, 0x39734edc,
+    0x5c3f6d47, 0x396dc414, 0x5c4ab36b, 0x39683715,
+    0x5c55f878, 0x3962a7e0, 0x5c613c6d, 0x395d1675,
+    0x5c6c7f4a, 0x395782d3, 0x5c77c10e, 0x3951ecfc,
+    0x5c8301b9, 0x394c54ee, 0x5c8e414b, 0x3946baac,
+    0x5c997fc4, 0x39411e33, 0x5ca4bd21, 0x393b7f86,
+    0x5caff965, 0x3935dea4, 0x5cbb348d, 0x39303b8e,
+    0x5cc66e99, 0x392a9642, 0x5cd1a78a, 0x3924eec3,
+    0x5cdcdf5e, 0x391f4510, 0x5ce81615, 0x39199929,
+    0x5cf34baf, 0x3913eb0e, 0x5cfe802b, 0x390e3ac0,
+    0x5d09b389, 0x3908883f, 0x5d14e5c9, 0x3902d38b,
+    0x5d2016e9, 0x38fd1ca4, 0x5d2b46ea, 0x38f7638b,
+    0x5d3675cb, 0x38f1a840, 0x5d41a38c, 0x38ebeac2,
+    0x5d4cd02c, 0x38e62b13, 0x5d57fbaa, 0x38e06932,
+    0x5d632608, 0x38daa520, 0x5d6e4f43, 0x38d4dedd,
+    0x5d79775c, 0x38cf1669, 0x5d849e51, 0x38c94bc4,
+    0x5d8fc424, 0x38c37eef, 0x5d9ae8d2, 0x38bdafea,
+    0x5da60c5d, 0x38b7deb4, 0x5db12ec3, 0x38b20b4f,
+    0x5dbc5004, 0x38ac35ba, 0x5dc7701f, 0x38a65df6,
+    0x5dd28f15, 0x38a08402, 0x5dddace4, 0x389aa7e0,
+    0x5de8c98c, 0x3894c98f, 0x5df3e50d, 0x388ee910,
+    0x5dfeff67, 0x38890663, 0x5e0a1898, 0x38832187,
+    0x5e1530a1, 0x387d3a7e, 0x5e204781, 0x38775147,
+    0x5e2b5d38, 0x387165e3, 0x5e3671c5, 0x386b7852,
+    0x5e418528, 0x38658894, 0x5e4c9760, 0x385f96a9,
+    0x5e57a86d, 0x3859a292, 0x5e62b84f, 0x3853ac4f,
+    0x5e6dc705, 0x384db3e0, 0x5e78d48e, 0x3847b946,
+    0x5e83e0eb, 0x3841bc7f, 0x5e8eec1b, 0x383bbd8e,
+    0x5e99f61d, 0x3835bc71, 0x5ea4fef0, 0x382fb92a,
+    0x5eb00696, 0x3829b3b9, 0x5ebb0d0d, 0x3823ac1d,
+    0x5ec61254, 0x381da256, 0x5ed1166b, 0x38179666,
+    0x5edc1953, 0x3811884d, 0x5ee71b0a, 0x380b780a,
+    0x5ef21b90, 0x3805659e, 0x5efd1ae4, 0x37ff5109,
+    0x5f081907, 0x37f93a4b, 0x5f1315f7, 0x37f32165,
+    0x5f1e11b5, 0x37ed0657, 0x5f290c3f, 0x37e6e921,
+    0x5f340596, 0x37e0c9c3, 0x5f3efdb9, 0x37daa83d,
+    0x5f49f4a8, 0x37d48490, 0x5f54ea62, 0x37ce5ebd,
+    0x5f5fdee6, 0x37c836c2, 0x5f6ad235, 0x37c20ca1,
+    0x5f75c44e, 0x37bbe05a, 0x5f80b531, 0x37b5b1ec,
+    0x5f8ba4dc, 0x37af8159, 0x5f969350, 0x37a94ea0,
+    0x5fa1808c, 0x37a319c2, 0x5fac6c91, 0x379ce2be,
+    0x5fb7575c, 0x3796a996, 0x5fc240ef, 0x37906e49,
+    0x5fcd2948, 0x378a30d8, 0x5fd81067, 0x3783f143,
+    0x5fe2f64c, 0x377daf89, 0x5feddaf6, 0x37776bac,
+    0x5ff8be65, 0x377125ac, 0x6003a099, 0x376add88,
+    0x600e8190, 0x37649341, 0x6019614c, 0x375e46d8,
+    0x60243fca, 0x3757f84c, 0x602f1d0b, 0x3751a79e,
+    0x6039f90f, 0x374b54ce, 0x6044d3d4, 0x3744ffdd,
+    0x604fad5b, 0x373ea8ca, 0x605a85a3, 0x37384f95,
+    0x60655cac, 0x3731f440, 0x60703275, 0x372b96ca,
+    0x607b06fe, 0x37253733, 0x6085da46, 0x371ed57c,
+    0x6090ac4d, 0x371871a5, 0x609b7d13, 0x37120bae,
+    0x60a64c97, 0x370ba398, 0x60b11ad9, 0x37053962,
+    0x60bbe7d8, 0x36fecd0e, 0x60c6b395, 0x36f85e9a,
+    0x60d17e0d, 0x36f1ee09, 0x60dc4742, 0x36eb7b58,
+    0x60e70f32, 0x36e5068a, 0x60f1d5de, 0x36de8f9e,
+    0x60fc9b44, 0x36d81695, 0x61075f65, 0x36d19b6e,
+    0x61122240, 0x36cb1e2a, 0x611ce3d5, 0x36c49ec9,
+    0x6127a423, 0x36be1d4c, 0x61326329, 0x36b799b3,
+    0x613d20e8, 0x36b113fd, 0x6147dd5f, 0x36aa8c2c,
+    0x6152988d, 0x36a4023f, 0x615d5273, 0x369d7637,
+    0x61680b0f, 0x3696e814, 0x6172c262, 0x369057d6,
+    0x617d786a, 0x3689c57d, 0x61882d28, 0x3683310b,
+    0x6192e09b, 0x367c9a7e, 0x619d92c2, 0x367601d7,
+    0x61a8439e, 0x366f6717, 0x61b2f32e, 0x3668ca3e,
+    0x61bda171, 0x36622b4c, 0x61c84e67, 0x365b8a41,
+    0x61d2fa0f, 0x3654e71d, 0x61dda46a, 0x364e41e2,
+    0x61e84d76, 0x36479a8e, 0x61f2f534, 0x3640f123,
+    0x61fd9ba3, 0x363a45a0, 0x620840c2, 0x36339806,
+    0x6212e492, 0x362ce855, 0x621d8711, 0x3626368d,
+    0x6228283f, 0x361f82af, 0x6232c81c, 0x3618ccba,
+    0x623d66a8, 0x361214b0, 0x624803e2, 0x360b5a90,
+    0x62529fca, 0x36049e5b, 0x625d3a5e, 0x35fde011,
+    0x6267d3a0, 0x35f71fb1, 0x62726b8e, 0x35f05d3d,
+    0x627d0228, 0x35e998b5, 0x6287976e, 0x35e2d219,
+    0x62922b5e, 0x35dc0968, 0x629cbdfa, 0x35d53ea5,
+    0x62a74f40, 0x35ce71ce, 0x62b1df30, 0x35c7a2e3,
+    0x62bc6dca, 0x35c0d1e7, 0x62c6fb0c, 0x35b9fed7,
+    0x62d186f8, 0x35b329b5, 0x62dc118c, 0x35ac5282,
+    0x62e69ac8, 0x35a5793c, 0x62f122ab, 0x359e9de5,
+    0x62fba936, 0x3597c07d, 0x63062e67, 0x3590e104,
+    0x6310b23e, 0x3589ff7a, 0x631b34bc, 0x35831be0,
+    0x6325b5df, 0x357c3636, 0x633035a7, 0x35754e7c,
+    0x633ab414, 0x356e64b2, 0x63453125, 0x356778d9,
+    0x634facda, 0x35608af1, 0x635a2733, 0x35599afa,
+    0x6364a02e, 0x3552a8f4, 0x636f17cc, 0x354bb4e1,
+    0x63798e0d, 0x3544bebf, 0x638402ef, 0x353dc68f,
+    0x638e7673, 0x3536cc52, 0x6398e898, 0x352fd008,
+    0x63a3595e, 0x3528d1b1, 0x63adc8c4, 0x3521d14d,
+    0x63b836ca, 0x351acedd, 0x63c2a36f, 0x3513ca60,
+    0x63cd0eb3, 0x350cc3d8, 0x63d77896, 0x3505bb44,
+    0x63e1e117, 0x34feb0a5, 0x63ec4837, 0x34f7a3fb,
+    0x63f6adf3, 0x34f09546, 0x6401124d, 0x34e98487,
+    0x640b7543, 0x34e271bd, 0x6415d6d5, 0x34db5cea,
+    0x64203704, 0x34d4460c, 0x642a95ce, 0x34cd2d26,
+    0x6434f332, 0x34c61236, 0x643f4f32, 0x34bef53d,
+    0x6449a9cc, 0x34b7d63c, 0x645402ff, 0x34b0b533,
+    0x645e5acc, 0x34a99221, 0x6468b132, 0x34a26d08,
+    0x64730631, 0x349b45e7, 0x647d59c8, 0x34941cbf,
+    0x6487abf7, 0x348cf190, 0x6491fcbe, 0x3485c45b,
+    0x649c4c1b, 0x347e951f, 0x64a69a0f, 0x347763dd,
+    0x64b0e699, 0x34703095, 0x64bb31ba, 0x3468fb47,
+    0x64c57b6f, 0x3461c3f5, 0x64cfc3ba, 0x345a8a9d,
+    0x64da0a9a, 0x34534f41, 0x64e4500e, 0x344c11e0,
+    0x64ee9415, 0x3444d27b, 0x64f8d6b0, 0x343d9112,
+    0x650317df, 0x34364da6, 0x650d57a0, 0x342f0836,
+    0x651795f3, 0x3427c0c3, 0x6521d2d8, 0x3420774d,
+    0x652c0e4f, 0x34192bd5, 0x65364857, 0x3411de5b,
+    0x654080ef, 0x340a8edf, 0x654ab818, 0x34033d61,
+    0x6554edd1, 0x33fbe9e2, 0x655f2219, 0x33f49462,
+    0x656954f1, 0x33ed3ce1, 0x65738657, 0x33e5e360,
+    0x657db64c, 0x33de87de, 0x6587e4cf, 0x33d72a5d,
+    0x659211df, 0x33cfcadc, 0x659c3d7c, 0x33c8695b,
+    0x65a667a7, 0x33c105db, 0x65b0905d, 0x33b9a05d,
+    0x65bab7a0, 0x33b238e0, 0x65c4dd6e, 0x33aacf65,
+    0x65cf01c8, 0x33a363ec, 0x65d924ac, 0x339bf675,
+    0x65e3461b, 0x33948701, 0x65ed6614, 0x338d1590,
+    0x65f78497, 0x3385a222, 0x6601a1a2, 0x337e2cb7,
+    0x660bbd37, 0x3376b551, 0x6615d754, 0x336f3bee,
+    0x661feffa, 0x3367c090, 0x662a0727, 0x33604336,
+    0x66341cdb, 0x3358c3e2, 0x663e3117, 0x33514292,
+    0x664843d9, 0x3349bf48, 0x66525521, 0x33423a04,
+    0x665c64ef, 0x333ab2c6, 0x66667342, 0x3333298f,
+    0x6670801a, 0x332b9e5e, 0x667a8b77, 0x33241134,
+    0x66849558, 0x331c8211, 0x668e9dbd, 0x3314f0f6,
+    0x6698a4a6, 0x330d5de3, 0x66a2aa11, 0x3305c8d7,
+    0x66acadff, 0x32fe31d5, 0x66b6b070, 0x32f698db,
+    0x66c0b162, 0x32eefdea, 0x66cab0d6, 0x32e76102,
+    0x66d4aecb, 0x32dfc224, 0x66deab41, 0x32d82150,
+    0x66e8a637, 0x32d07e85, 0x66f29fad, 0x32c8d9c6,
+    0x66fc97a3, 0x32c13311, 0x67068e18, 0x32b98a67,
+    0x6710830c, 0x32b1dfc9, 0x671a767e, 0x32aa3336,
+    0x6724686e, 0x32a284b0, 0x672e58dc, 0x329ad435,
+    0x673847c8, 0x329321c7, 0x67423530, 0x328b6d66,
+    0x674c2115, 0x3283b712, 0x67560b76, 0x327bfecc,
+    0x675ff452, 0x32744493, 0x6769dbaa, 0x326c8868,
+    0x6773c17d, 0x3264ca4c, 0x677da5cb, 0x325d0a3e,
+    0x67878893, 0x32554840, 0x679169d5, 0x324d8450,
+    0x679b4990, 0x3245be70, 0x67a527c4, 0x323df6a0,
+    0x67af0472, 0x32362ce0, 0x67b8df97, 0x322e6130,
+    0x67c2b934, 0x32269391, 0x67cc9149, 0x321ec403,
+    0x67d667d5, 0x3216f287, 0x67e03cd8, 0x320f1f1c,
+    0x67ea1052, 0x320749c3, 0x67f3e241, 0x31ff727c,
+    0x67fdb2a7, 0x31f79948, 0x68078181, 0x31efbe27,
+    0x68114ed0, 0x31e7e118, 0x681b1a94, 0x31e0021e,
+    0x6824e4cc, 0x31d82137, 0x682ead78, 0x31d03e64,
+    0x68387498, 0x31c859a5, 0x68423a2a, 0x31c072fb,
+    0x684bfe2f, 0x31b88a66, 0x6855c0a6, 0x31b09fe7,
+    0x685f8190, 0x31a8b37c, 0x686940ea, 0x31a0c528,
+    0x6872feb6, 0x3198d4ea, 0x687cbaf3, 0x3190e2c3,
+    0x688675a0, 0x3188eeb2, 0x68902ebd, 0x3180f8b8,
+    0x6899e64a, 0x317900d6, 0x68a39c46, 0x3171070c,
+    0x68ad50b1, 0x31690b59, 0x68b7038b, 0x31610dbf,
+    0x68c0b4d2, 0x31590e3e, 0x68ca6488, 0x31510cd5,
+    0x68d412ab, 0x31490986, 0x68ddbf3b, 0x31410450,
+    0x68e76a37, 0x3138fd35, 0x68f113a0, 0x3130f433,
+    0x68fabb75, 0x3128e94c, 0x690461b5, 0x3120dc80,
+    0x690e0661, 0x3118cdcf, 0x6917a977, 0x3110bd39,
+    0x69214af8, 0x3108aabf, 0x692aeae3, 0x31009661,
+    0x69348937, 0x30f8801f, 0x693e25f5, 0x30f067fb,
+    0x6947c11c, 0x30e84df3, 0x69515aab, 0x30e03208,
+    0x695af2a3, 0x30d8143b, 0x69648902, 0x30cff48c,
+    0x696e1dc9, 0x30c7d2fb, 0x6977b0f7, 0x30bfaf89,
+    0x6981428c, 0x30b78a36, 0x698ad287, 0x30af6302,
+    0x699460e8, 0x30a739ed, 0x699dedaf, 0x309f0ef8,
+    0x69a778db, 0x3096e223, 0x69b1026c, 0x308eb36f,
+    0x69ba8a61, 0x308682dc, 0x69c410ba, 0x307e5069,
+    0x69cd9578, 0x30761c18, 0x69d71899, 0x306de5e9,
+    0x69e09a1c, 0x3065addb, 0x69ea1a03, 0x305d73f0,
+    0x69f3984c, 0x30553828, 0x69fd14f6, 0x304cfa83,
+    0x6a069003, 0x3044bb00, 0x6a100970, 0x303c79a2,
+    0x6a19813f, 0x30343667, 0x6a22f76e, 0x302bf151,
+    0x6a2c6bfd, 0x3023aa5f, 0x6a35deeb, 0x301b6193,
+    0x6a3f503a, 0x301316eb, 0x6a48bfe7, 0x300aca69,
+    0x6a522df3, 0x30027c0c, 0x6a5b9a5d, 0x2ffa2bd6,
+    0x6a650525, 0x2ff1d9c7, 0x6a6e6e4b, 0x2fe985de,
+    0x6a77d5ce, 0x2fe1301c, 0x6a813bae, 0x2fd8d882,
+    0x6a8a9fea, 0x2fd07f0f, 0x6a940283, 0x2fc823c5,
+    0x6a9d6377, 0x2fbfc6a3, 0x6aa6c2c6, 0x2fb767aa,
+    0x6ab02071, 0x2faf06da, 0x6ab97c77, 0x2fa6a433,
+    0x6ac2d6d6, 0x2f9e3fb6, 0x6acc2f90, 0x2f95d963,
+    0x6ad586a3, 0x2f8d713a, 0x6adedc10, 0x2f85073c,
+    0x6ae82fd5, 0x2f7c9b69, 0x6af181f3, 0x2f742dc1,
+    0x6afad269, 0x2f6bbe45, 0x6b042137, 0x2f634cf5,
+    0x6b0d6e5c, 0x2f5ad9d1, 0x6b16b9d9, 0x2f5264da,
+    0x6b2003ac, 0x2f49ee0f, 0x6b294bd5, 0x2f417573,
+    0x6b329255, 0x2f38fb03, 0x6b3bd72a, 0x2f307ec2,
+    0x6b451a55, 0x2f2800af, 0x6b4e5bd4, 0x2f1f80ca,
+    0x6b579ba8, 0x2f16ff14, 0x6b60d9d0, 0x2f0e7b8e,
+    0x6b6a164d, 0x2f05f637, 0x6b73511c, 0x2efd6f10,
+    0x6b7c8a3f, 0x2ef4e619, 0x6b85c1b5, 0x2eec5b53,
+    0x6b8ef77d, 0x2ee3cebe, 0x6b982b97, 0x2edb405a,
+    0x6ba15e03, 0x2ed2b027, 0x6baa8ec0, 0x2eca1e27,
+    0x6bb3bdce, 0x2ec18a58, 0x6bbceb2d, 0x2eb8f4bc,
+    0x6bc616dd, 0x2eb05d53, 0x6bcf40dc, 0x2ea7c41e,
+    0x6bd8692b, 0x2e9f291b, 0x6be18fc9, 0x2e968c4d,
+    0x6beab4b6, 0x2e8dedb3, 0x6bf3d7f2, 0x2e854d4d,
+    0x6bfcf97c, 0x2e7cab1c, 0x6c061953, 0x2e740720,
+    0x6c0f3779, 0x2e6b615a, 0x6c1853eb, 0x2e62b9ca,
+    0x6c216eaa, 0x2e5a1070, 0x6c2a87b6, 0x2e51654c,
+    0x6c339f0e, 0x2e48b860, 0x6c3cb4b1, 0x2e4009aa,
+    0x6c45c8a0, 0x2e37592c, 0x6c4edada, 0x2e2ea6e6,
+    0x6c57eb5e, 0x2e25f2d8, 0x6c60fa2d, 0x2e1d3d03,
+    0x6c6a0746, 0x2e148566, 0x6c7312a9, 0x2e0bcc03,
+    0x6c7c1c55, 0x2e0310d9, 0x6c85244a, 0x2dfa53e9,
+    0x6c8e2a87, 0x2df19534, 0x6c972f0d, 0x2de8d4b8,
+    0x6ca031da, 0x2de01278, 0x6ca932ef, 0x2dd74e73,
+    0x6cb2324c, 0x2dce88aa, 0x6cbb2fef, 0x2dc5c11c,
+    0x6cc42bd9, 0x2dbcf7cb, 0x6ccd2609, 0x2db42cb6,
+    0x6cd61e7f, 0x2dab5fdf, 0x6cdf153a, 0x2da29144,
+    0x6ce80a3a, 0x2d99c0e7, 0x6cf0fd80, 0x2d90eec8,
+    0x6cf9ef09, 0x2d881ae8, 0x6d02ded7, 0x2d7f4545,
+    0x6d0bcce8, 0x2d766de2, 0x6d14b93d, 0x2d6d94bf,
+    0x6d1da3d5, 0x2d64b9da, 0x6d268cb0, 0x2d5bdd36,
+    0x6d2f73cd, 0x2d52fed2, 0x6d38592c, 0x2d4a1eaf,
+    0x6d413ccd, 0x2d413ccd, 0x6d4a1eaf, 0x2d38592c,
+    0x6d52fed2, 0x2d2f73cd, 0x6d5bdd36, 0x2d268cb0,
+    0x6d64b9da, 0x2d1da3d5, 0x6d6d94bf, 0x2d14b93d,
+    0x6d766de2, 0x2d0bcce8, 0x6d7f4545, 0x2d02ded7,
+    0x6d881ae8, 0x2cf9ef09, 0x6d90eec8, 0x2cf0fd80,
+    0x6d99c0e7, 0x2ce80a3a, 0x6da29144, 0x2cdf153a,
+    0x6dab5fdf, 0x2cd61e7f, 0x6db42cb6, 0x2ccd2609,
+    0x6dbcf7cb, 0x2cc42bd9, 0x6dc5c11c, 0x2cbb2fef,
+    0x6dce88aa, 0x2cb2324c, 0x6dd74e73, 0x2ca932ef,
+    0x6de01278, 0x2ca031da, 0x6de8d4b8, 0x2c972f0d,
+    0x6df19534, 0x2c8e2a87, 0x6dfa53e9, 0x2c85244a,
+    0x6e0310d9, 0x2c7c1c55, 0x6e0bcc03, 0x2c7312a9,
+    0x6e148566, 0x2c6a0746, 0x6e1d3d03, 0x2c60fa2d,
+    0x6e25f2d8, 0x2c57eb5e, 0x6e2ea6e6, 0x2c4edada,
+    0x6e37592c, 0x2c45c8a0, 0x6e4009aa, 0x2c3cb4b1,
+    0x6e48b860, 0x2c339f0e, 0x6e51654c, 0x2c2a87b6,
+    0x6e5a1070, 0x2c216eaa, 0x6e62b9ca, 0x2c1853eb,
+    0x6e6b615a, 0x2c0f3779, 0x6e740720, 0x2c061953,
+    0x6e7cab1c, 0x2bfcf97c, 0x6e854d4d, 0x2bf3d7f2,
+    0x6e8dedb3, 0x2beab4b6, 0x6e968c4d, 0x2be18fc9,
+    0x6e9f291b, 0x2bd8692b, 0x6ea7c41e, 0x2bcf40dc,
+    0x6eb05d53, 0x2bc616dd, 0x6eb8f4bc, 0x2bbceb2d,
+    0x6ec18a58, 0x2bb3bdce, 0x6eca1e27, 0x2baa8ec0,
+    0x6ed2b027, 0x2ba15e03, 0x6edb405a, 0x2b982b97,
+    0x6ee3cebe, 0x2b8ef77d, 0x6eec5b53, 0x2b85c1b5,
+    0x6ef4e619, 0x2b7c8a3f, 0x6efd6f10, 0x2b73511c,
+    0x6f05f637, 0x2b6a164d, 0x6f0e7b8e, 0x2b60d9d0,
+    0x6f16ff14, 0x2b579ba8, 0x6f1f80ca, 0x2b4e5bd4,
+    0x6f2800af, 0x2b451a55, 0x6f307ec2, 0x2b3bd72a,
+    0x6f38fb03, 0x2b329255, 0x6f417573, 0x2b294bd5,
+    0x6f49ee0f, 0x2b2003ac, 0x6f5264da, 0x2b16b9d9,
+    0x6f5ad9d1, 0x2b0d6e5c, 0x6f634cf5, 0x2b042137,
+    0x6f6bbe45, 0x2afad269, 0x6f742dc1, 0x2af181f3,
+    0x6f7c9b69, 0x2ae82fd5, 0x6f85073c, 0x2adedc10,
+    0x6f8d713a, 0x2ad586a3, 0x6f95d963, 0x2acc2f90,
+    0x6f9e3fb6, 0x2ac2d6d6, 0x6fa6a433, 0x2ab97c77,
+    0x6faf06da, 0x2ab02071, 0x6fb767aa, 0x2aa6c2c6,
+    0x6fbfc6a3, 0x2a9d6377, 0x6fc823c5, 0x2a940283,
+    0x6fd07f0f, 0x2a8a9fea, 0x6fd8d882, 0x2a813bae,
+    0x6fe1301c, 0x2a77d5ce, 0x6fe985de, 0x2a6e6e4b,
+    0x6ff1d9c7, 0x2a650525, 0x6ffa2bd6, 0x2a5b9a5d,
+    0x70027c0c, 0x2a522df3, 0x700aca69, 0x2a48bfe7,
+    0x701316eb, 0x2a3f503a, 0x701b6193, 0x2a35deeb,
+    0x7023aa5f, 0x2a2c6bfd, 0x702bf151, 0x2a22f76e,
+    0x70343667, 0x2a19813f, 0x703c79a2, 0x2a100970,
+    0x7044bb00, 0x2a069003, 0x704cfa83, 0x29fd14f6,
+    0x70553828, 0x29f3984c, 0x705d73f0, 0x29ea1a03,
+    0x7065addb, 0x29e09a1c, 0x706de5e9, 0x29d71899,
+    0x70761c18, 0x29cd9578, 0x707e5069, 0x29c410ba,
+    0x708682dc, 0x29ba8a61, 0x708eb36f, 0x29b1026c,
+    0x7096e223, 0x29a778db, 0x709f0ef8, 0x299dedaf,
+    0x70a739ed, 0x299460e8, 0x70af6302, 0x298ad287,
+    0x70b78a36, 0x2981428c, 0x70bfaf89, 0x2977b0f7,
+    0x70c7d2fb, 0x296e1dc9, 0x70cff48c, 0x29648902,
+    0x70d8143b, 0x295af2a3, 0x70e03208, 0x29515aab,
+    0x70e84df3, 0x2947c11c, 0x70f067fb, 0x293e25f5,
+    0x70f8801f, 0x29348937, 0x71009661, 0x292aeae3,
+    0x7108aabf, 0x29214af8, 0x7110bd39, 0x2917a977,
+    0x7118cdcf, 0x290e0661, 0x7120dc80, 0x290461b5,
+    0x7128e94c, 0x28fabb75, 0x7130f433, 0x28f113a0,
+    0x7138fd35, 0x28e76a37, 0x71410450, 0x28ddbf3b,
+    0x71490986, 0x28d412ab, 0x71510cd5, 0x28ca6488,
+    0x71590e3e, 0x28c0b4d2, 0x71610dbf, 0x28b7038b,
+    0x71690b59, 0x28ad50b1, 0x7171070c, 0x28a39c46,
+    0x717900d6, 0x2899e64a, 0x7180f8b8, 0x28902ebd,
+    0x7188eeb2, 0x288675a0, 0x7190e2c3, 0x287cbaf3,
+    0x7198d4ea, 0x2872feb6, 0x71a0c528, 0x286940ea,
+    0x71a8b37c, 0x285f8190, 0x71b09fe7, 0x2855c0a6,
+    0x71b88a66, 0x284bfe2f, 0x71c072fb, 0x28423a2a,
+    0x71c859a5, 0x28387498, 0x71d03e64, 0x282ead78,
+    0x71d82137, 0x2824e4cc, 0x71e0021e, 0x281b1a94,
+    0x71e7e118, 0x28114ed0, 0x71efbe27, 0x28078181,
+    0x71f79948, 0x27fdb2a7, 0x71ff727c, 0x27f3e241,
+    0x720749c3, 0x27ea1052, 0x720f1f1c, 0x27e03cd8,
+    0x7216f287, 0x27d667d5, 0x721ec403, 0x27cc9149,
+    0x72269391, 0x27c2b934, 0x722e6130, 0x27b8df97,
+    0x72362ce0, 0x27af0472, 0x723df6a0, 0x27a527c4,
+    0x7245be70, 0x279b4990, 0x724d8450, 0x279169d5,
+    0x72554840, 0x27878893, 0x725d0a3e, 0x277da5cb,
+    0x7264ca4c, 0x2773c17d, 0x726c8868, 0x2769dbaa,
+    0x72744493, 0x275ff452, 0x727bfecc, 0x27560b76,
+    0x7283b712, 0x274c2115, 0x728b6d66, 0x27423530,
+    0x729321c7, 0x273847c8, 0x729ad435, 0x272e58dc,
+    0x72a284b0, 0x2724686e, 0x72aa3336, 0x271a767e,
+    0x72b1dfc9, 0x2710830c, 0x72b98a67, 0x27068e18,
+    0x72c13311, 0x26fc97a3, 0x72c8d9c6, 0x26f29fad,
+    0x72d07e85, 0x26e8a637, 0x72d82150, 0x26deab41,
+    0x72dfc224, 0x26d4aecb, 0x72e76102, 0x26cab0d6,
+    0x72eefdea, 0x26c0b162, 0x72f698db, 0x26b6b070,
+    0x72fe31d5, 0x26acadff, 0x7305c8d7, 0x26a2aa11,
+    0x730d5de3, 0x2698a4a6, 0x7314f0f6, 0x268e9dbd,
+    0x731c8211, 0x26849558, 0x73241134, 0x267a8b77,
+    0x732b9e5e, 0x2670801a, 0x7333298f, 0x26667342,
+    0x733ab2c6, 0x265c64ef, 0x73423a04, 0x26525521,
+    0x7349bf48, 0x264843d9, 0x73514292, 0x263e3117,
+    0x7358c3e2, 0x26341cdb, 0x73604336, 0x262a0727,
+    0x7367c090, 0x261feffa, 0x736f3bee, 0x2615d754,
+    0x7376b551, 0x260bbd37, 0x737e2cb7, 0x2601a1a2,
+    0x7385a222, 0x25f78497, 0x738d1590, 0x25ed6614,
+    0x73948701, 0x25e3461b, 0x739bf675, 0x25d924ac,
+    0x73a363ec, 0x25cf01c8, 0x73aacf65, 0x25c4dd6e,
+    0x73b238e0, 0x25bab7a0, 0x73b9a05d, 0x25b0905d,
+    0x73c105db, 0x25a667a7, 0x73c8695b, 0x259c3d7c,
+    0x73cfcadc, 0x259211df, 0x73d72a5d, 0x2587e4cf,
+    0x73de87de, 0x257db64c, 0x73e5e360, 0x25738657,
+    0x73ed3ce1, 0x256954f1, 0x73f49462, 0x255f2219,
+    0x73fbe9e2, 0x2554edd1, 0x74033d61, 0x254ab818,
+    0x740a8edf, 0x254080ef, 0x7411de5b, 0x25364857,
+    0x74192bd5, 0x252c0e4f, 0x7420774d, 0x2521d2d8,
+    0x7427c0c3, 0x251795f3, 0x742f0836, 0x250d57a0,
+    0x74364da6, 0x250317df, 0x743d9112, 0x24f8d6b0,
+    0x7444d27b, 0x24ee9415, 0x744c11e0, 0x24e4500e,
+    0x74534f41, 0x24da0a9a, 0x745a8a9d, 0x24cfc3ba,
+    0x7461c3f5, 0x24c57b6f, 0x7468fb47, 0x24bb31ba,
+    0x74703095, 0x24b0e699, 0x747763dd, 0x24a69a0f,
+    0x747e951f, 0x249c4c1b, 0x7485c45b, 0x2491fcbe,
+    0x748cf190, 0x2487abf7, 0x74941cbf, 0x247d59c8,
+    0x749b45e7, 0x24730631, 0x74a26d08, 0x2468b132,
+    0x74a99221, 0x245e5acc, 0x74b0b533, 0x245402ff,
+    0x74b7d63c, 0x2449a9cc, 0x74bef53d, 0x243f4f32,
+    0x74c61236, 0x2434f332, 0x74cd2d26, 0x242a95ce,
+    0x74d4460c, 0x24203704, 0x74db5cea, 0x2415d6d5,
+    0x74e271bd, 0x240b7543, 0x74e98487, 0x2401124d,
+    0x74f09546, 0x23f6adf3, 0x74f7a3fb, 0x23ec4837,
+    0x74feb0a5, 0x23e1e117, 0x7505bb44, 0x23d77896,
+    0x750cc3d8, 0x23cd0eb3, 0x7513ca60, 0x23c2a36f,
+    0x751acedd, 0x23b836ca, 0x7521d14d, 0x23adc8c4,
+    0x7528d1b1, 0x23a3595e, 0x752fd008, 0x2398e898,
+    0x7536cc52, 0x238e7673, 0x753dc68f, 0x238402ef,
+    0x7544bebf, 0x23798e0d, 0x754bb4e1, 0x236f17cc,
+    0x7552a8f4, 0x2364a02e, 0x75599afa, 0x235a2733,
+    0x75608af1, 0x234facda, 0x756778d9, 0x23453125,
+    0x756e64b2, 0x233ab414, 0x75754e7c, 0x233035a7,
+    0x757c3636, 0x2325b5df, 0x75831be0, 0x231b34bc,
+    0x7589ff7a, 0x2310b23e, 0x7590e104, 0x23062e67,
+    0x7597c07d, 0x22fba936, 0x759e9de5, 0x22f122ab,
+    0x75a5793c, 0x22e69ac8, 0x75ac5282, 0x22dc118c,
+    0x75b329b5, 0x22d186f8, 0x75b9fed7, 0x22c6fb0c,
+    0x75c0d1e7, 0x22bc6dca, 0x75c7a2e3, 0x22b1df30,
+    0x75ce71ce, 0x22a74f40, 0x75d53ea5, 0x229cbdfa,
+    0x75dc0968, 0x22922b5e, 0x75e2d219, 0x2287976e,
+    0x75e998b5, 0x227d0228, 0x75f05d3d, 0x22726b8e,
+    0x75f71fb1, 0x2267d3a0, 0x75fde011, 0x225d3a5e,
+    0x76049e5b, 0x22529fca, 0x760b5a90, 0x224803e2,
+    0x761214b0, 0x223d66a8, 0x7618ccba, 0x2232c81c,
+    0x761f82af, 0x2228283f, 0x7626368d, 0x221d8711,
+    0x762ce855, 0x2212e492, 0x76339806, 0x220840c2,
+    0x763a45a0, 0x21fd9ba3, 0x7640f123, 0x21f2f534,
+    0x76479a8e, 0x21e84d76, 0x764e41e2, 0x21dda46a,
+    0x7654e71d, 0x21d2fa0f, 0x765b8a41, 0x21c84e67,
+    0x76622b4c, 0x21bda171, 0x7668ca3e, 0x21b2f32e,
+    0x766f6717, 0x21a8439e, 0x767601d7, 0x219d92c2,
+    0x767c9a7e, 0x2192e09b, 0x7683310b, 0x21882d28,
+    0x7689c57d, 0x217d786a, 0x769057d6, 0x2172c262,
+    0x7696e814, 0x21680b0f, 0x769d7637, 0x215d5273,
+    0x76a4023f, 0x2152988d, 0x76aa8c2c, 0x2147dd5f,
+    0x76b113fd, 0x213d20e8, 0x76b799b3, 0x21326329,
+    0x76be1d4c, 0x2127a423, 0x76c49ec9, 0x211ce3d5,
+    0x76cb1e2a, 0x21122240, 0x76d19b6e, 0x21075f65,
+    0x76d81695, 0x20fc9b44, 0x76de8f9e, 0x20f1d5de,
+    0x76e5068a, 0x20e70f32, 0x76eb7b58, 0x20dc4742,
+    0x76f1ee09, 0x20d17e0d, 0x76f85e9a, 0x20c6b395,
+    0x76fecd0e, 0x20bbe7d8, 0x77053962, 0x20b11ad9,
+    0x770ba398, 0x20a64c97, 0x77120bae, 0x209b7d13,
+    0x771871a5, 0x2090ac4d, 0x771ed57c, 0x2085da46,
+    0x77253733, 0x207b06fe, 0x772b96ca, 0x20703275,
+    0x7731f440, 0x20655cac, 0x77384f95, 0x205a85a3,
+    0x773ea8ca, 0x204fad5b, 0x7744ffdd, 0x2044d3d4,
+    0x774b54ce, 0x2039f90f, 0x7751a79e, 0x202f1d0b,
+    0x7757f84c, 0x20243fca, 0x775e46d8, 0x2019614c,
+    0x77649341, 0x200e8190, 0x776add88, 0x2003a099,
+    0x777125ac, 0x1ff8be65, 0x77776bac, 0x1feddaf6,
+    0x777daf89, 0x1fe2f64c, 0x7783f143, 0x1fd81067,
+    0x778a30d8, 0x1fcd2948, 0x77906e49, 0x1fc240ef,
+    0x7796a996, 0x1fb7575c, 0x779ce2be, 0x1fac6c91,
+    0x77a319c2, 0x1fa1808c, 0x77a94ea0, 0x1f969350,
+    0x77af8159, 0x1f8ba4dc, 0x77b5b1ec, 0x1f80b531,
+    0x77bbe05a, 0x1f75c44e, 0x77c20ca1, 0x1f6ad235,
+    0x77c836c2, 0x1f5fdee6, 0x77ce5ebd, 0x1f54ea62,
+    0x77d48490, 0x1f49f4a8, 0x77daa83d, 0x1f3efdb9,
+    0x77e0c9c3, 0x1f340596, 0x77e6e921, 0x1f290c3f,
+    0x77ed0657, 0x1f1e11b5, 0x77f32165, 0x1f1315f7,
+    0x77f93a4b, 0x1f081907, 0x77ff5109, 0x1efd1ae4,
+    0x7805659e, 0x1ef21b90, 0x780b780a, 0x1ee71b0a,
+    0x7811884d, 0x1edc1953, 0x78179666, 0x1ed1166b,
+    0x781da256, 0x1ec61254, 0x7823ac1d, 0x1ebb0d0d,
+    0x7829b3b9, 0x1eb00696, 0x782fb92a, 0x1ea4fef0,
+    0x7835bc71, 0x1e99f61d, 0x783bbd8e, 0x1e8eec1b,
+    0x7841bc7f, 0x1e83e0eb, 0x7847b946, 0x1e78d48e,
+    0x784db3e0, 0x1e6dc705, 0x7853ac4f, 0x1e62b84f,
+    0x7859a292, 0x1e57a86d, 0x785f96a9, 0x1e4c9760,
+    0x78658894, 0x1e418528, 0x786b7852, 0x1e3671c5,
+    0x787165e3, 0x1e2b5d38, 0x78775147, 0x1e204781,
+    0x787d3a7e, 0x1e1530a1, 0x78832187, 0x1e0a1898,
+    0x78890663, 0x1dfeff67, 0x788ee910, 0x1df3e50d,
+    0x7894c98f, 0x1de8c98c, 0x789aa7e0, 0x1dddace4,
+    0x78a08402, 0x1dd28f15, 0x78a65df6, 0x1dc7701f,
+    0x78ac35ba, 0x1dbc5004, 0x78b20b4f, 0x1db12ec3,
+    0x78b7deb4, 0x1da60c5d, 0x78bdafea, 0x1d9ae8d2,
+    0x78c37eef, 0x1d8fc424, 0x78c94bc4, 0x1d849e51,
+    0x78cf1669, 0x1d79775c, 0x78d4dedd, 0x1d6e4f43,
+    0x78daa520, 0x1d632608, 0x78e06932, 0x1d57fbaa,
+    0x78e62b13, 0x1d4cd02c, 0x78ebeac2, 0x1d41a38c,
+    0x78f1a840, 0x1d3675cb, 0x78f7638b, 0x1d2b46ea,
+    0x78fd1ca4, 0x1d2016e9, 0x7902d38b, 0x1d14e5c9,
+    0x7908883f, 0x1d09b389, 0x790e3ac0, 0x1cfe802b,
+    0x7913eb0e, 0x1cf34baf, 0x79199929, 0x1ce81615,
+    0x791f4510, 0x1cdcdf5e, 0x7924eec3, 0x1cd1a78a,
+    0x792a9642, 0x1cc66e99, 0x79303b8e, 0x1cbb348d,
+    0x7935dea4, 0x1caff965, 0x793b7f86, 0x1ca4bd21,
+    0x79411e33, 0x1c997fc4, 0x7946baac, 0x1c8e414b,
+    0x794c54ee, 0x1c8301b9, 0x7951ecfc, 0x1c77c10e,
+    0x795782d3, 0x1c6c7f4a, 0x795d1675, 0x1c613c6d,
+    0x7962a7e0, 0x1c55f878, 0x79683715, 0x1c4ab36b,
+    0x796dc414, 0x1c3f6d47, 0x79734edc, 0x1c34260c,
+    0x7978d76c, 0x1c28ddbb, 0x797e5dc6, 0x1c1d9454,
+    0x7983e1e8, 0x1c1249d8, 0x798963d2, 0x1c06fe46,
+    0x798ee385, 0x1bfbb1a0, 0x799460ff, 0x1bf063e6,
+    0x7999dc42, 0x1be51518, 0x799f554b, 0x1bd9c537,
+    0x79a4cc1c, 0x1bce7442, 0x79aa40b4, 0x1bc3223c,
+    0x79afb313, 0x1bb7cf23, 0x79b52339, 0x1bac7af9,
+    0x79ba9125, 0x1ba125bd, 0x79bffcd7, 0x1b95cf71,
+    0x79c5664f, 0x1b8a7815, 0x79cacd8d, 0x1b7f1fa9,
+    0x79d03291, 0x1b73c62d, 0x79d5955a, 0x1b686ba3,
+    0x79daf5e8, 0x1b5d100a, 0x79e0543c, 0x1b51b363,
+    0x79e5b054, 0x1b4655ae, 0x79eb0a31, 0x1b3af6ec,
+    0x79f061d2, 0x1b2f971e, 0x79f5b737, 0x1b243643,
+    0x79fb0a60, 0x1b18d45c, 0x7a005b4d, 0x1b0d716a,
+    0x7a05a9fd, 0x1b020d6c, 0x7a0af671, 0x1af6a865,
+    0x7a1040a8, 0x1aeb4253, 0x7a1588a2, 0x1adfdb37,
+    0x7a1ace5f, 0x1ad47312, 0x7a2011de, 0x1ac909e5,
+    0x7a25531f, 0x1abd9faf, 0x7a2a9223, 0x1ab23471,
+    0x7a2fcee8, 0x1aa6c82b, 0x7a350970, 0x1a9b5adf,
+    0x7a3a41b9, 0x1a8fec8c, 0x7a3f77c3, 0x1a847d33,
+    0x7a44ab8e, 0x1a790cd4, 0x7a49dd1a, 0x1a6d9b70,
+    0x7a4f0c67, 0x1a622907, 0x7a543974, 0x1a56b599,
+    0x7a596442, 0x1a4b4128, 0x7a5e8cd0, 0x1a3fcbb3,
+    0x7a63b31d, 0x1a34553b, 0x7a68d72b, 0x1a28ddc0,
+    0x7a6df8f8, 0x1a1d6544, 0x7a731884, 0x1a11ebc5,
+    0x7a7835cf, 0x1a067145, 0x7a7d50da, 0x19faf5c5,
+    0x7a8269a3, 0x19ef7944, 0x7a87802a, 0x19e3fbc3,
+    0x7a8c9470, 0x19d87d42, 0x7a91a674, 0x19ccfdc2,
+    0x7a96b636, 0x19c17d44, 0x7a9bc3b6, 0x19b5fbc8,
+    0x7aa0cef3, 0x19aa794d, 0x7aa5d7ee, 0x199ef5d6,
+    0x7aaadea6, 0x19937161, 0x7aafe31b, 0x1987ebf0,
+    0x7ab4e54c, 0x197c6584, 0x7ab9e53a, 0x1970de1b,
+    0x7abee2e5, 0x196555b8, 0x7ac3de4c, 0x1959cc5a,
+    0x7ac8d76f, 0x194e4201, 0x7acdce4d, 0x1942b6af,
+    0x7ad2c2e8, 0x19372a64, 0x7ad7b53d, 0x192b9d1f,
+    0x7adca54e, 0x19200ee3, 0x7ae1931a, 0x19147fae,
+    0x7ae67ea1, 0x1908ef82, 0x7aeb67e3, 0x18fd5e5f,
+    0x7af04edf, 0x18f1cc45, 0x7af53395, 0x18e63935,
+    0x7afa1605, 0x18daa52f, 0x7afef630, 0x18cf1034,
+    0x7b03d414, 0x18c37a44, 0x7b08afb2, 0x18b7e35f,
+    0x7b0d8909, 0x18ac4b87, 0x7b126019, 0x18a0b2bb,
+    0x7b1734e2, 0x189518fc, 0x7b1c0764, 0x18897e4a,
+    0x7b20d79e, 0x187de2a7, 0x7b25a591, 0x18724611,
+    0x7b2a713d, 0x1866a88a, 0x7b2f3aa0, 0x185b0a13,
+    0x7b3401bb, 0x184f6aab, 0x7b38c68e, 0x1843ca53,
+    0x7b3d8918, 0x1838290c, 0x7b42495a, 0x182c86d5,
+    0x7b470753, 0x1820e3b0, 0x7b4bc303, 0x18153f9d,
+    0x7b507c69, 0x18099a9c, 0x7b553386, 0x17fdf4ae,
+    0x7b59e85a, 0x17f24dd3, 0x7b5e9ae4, 0x17e6a60c,
+    0x7b634b23, 0x17dafd59, 0x7b67f919, 0x17cf53bb,
+    0x7b6ca4c4, 0x17c3a931, 0x7b714e25, 0x17b7fdbd,
+    0x7b75f53c, 0x17ac515f, 0x7b7a9a07, 0x17a0a417,
+    0x7b7f3c87, 0x1794f5e6, 0x7b83dcbc, 0x178946cc,
+    0x7b887aa6, 0x177d96ca, 0x7b8d1644, 0x1771e5e0,
+    0x7b91af97, 0x1766340f, 0x7b96469d, 0x175a8157,
+    0x7b9adb57, 0x174ecdb8, 0x7b9f6dc5, 0x17431933,
+    0x7ba3fde7, 0x173763c9, 0x7ba88bbc, 0x172bad7a,
+    0x7bad1744, 0x171ff646, 0x7bb1a080, 0x17143e2d,
+    0x7bb6276e, 0x17088531, 0x7bbaac0e, 0x16fccb51,
+    0x7bbf2e62, 0x16f1108f, 0x7bc3ae67, 0x16e554ea,
+    0x7bc82c1f, 0x16d99864, 0x7bcca789, 0x16cddafb,
+    0x7bd120a4, 0x16c21cb2, 0x7bd59771, 0x16b65d88,
+    0x7bda0bf0, 0x16aa9d7e, 0x7bde7e20, 0x169edc94,
+    0x7be2ee01, 0x16931acb, 0x7be75b93, 0x16875823,
+    0x7bebc6d5, 0x167b949d, 0x7bf02fc9, 0x166fd039,
+    0x7bf4966c, 0x16640af7, 0x7bf8fac0, 0x165844d8,
+    0x7bfd5cc4, 0x164c7ddd, 0x7c01bc78, 0x1640b606,
+    0x7c0619dc, 0x1634ed53, 0x7c0a74f0, 0x162923c5,
+    0x7c0ecdb2, 0x161d595d, 0x7c132424, 0x16118e1a,
+    0x7c177845, 0x1605c1fd, 0x7c1bca16, 0x15f9f507,
+    0x7c201994, 0x15ee2738, 0x7c2466c2, 0x15e25890,
+    0x7c28b19e, 0x15d68911, 0x7c2cfa28, 0x15cab8ba,
+    0x7c314060, 0x15bee78c, 0x7c358446, 0x15b31587,
+    0x7c39c5da, 0x15a742ac, 0x7c3e051b, 0x159b6efb,
+    0x7c42420a, 0x158f9a76, 0x7c467ca6, 0x1583c51b,
+    0x7c4ab4ef, 0x1577eeec, 0x7c4eeae5, 0x156c17e9,
+    0x7c531e88, 0x15604013, 0x7c574fd8, 0x1554676a,
+    0x7c5b7ed4, 0x15488dee, 0x7c5fab7c, 0x153cb3a0,
+    0x7c63d5d1, 0x1530d881, 0x7c67fdd1, 0x1524fc90,
+    0x7c6c237e, 0x15191fcf, 0x7c7046d6, 0x150d423d,
+    0x7c7467d9, 0x150163dc, 0x7c788688, 0x14f584ac,
+    0x7c7ca2e2, 0x14e9a4ac, 0x7c80bce7, 0x14ddc3de,
+    0x7c84d496, 0x14d1e242, 0x7c88e9f1, 0x14c5ffd9,
+    0x7c8cfcf6, 0x14ba1ca3, 0x7c910da5, 0x14ae38a0,
+    0x7c951bff, 0x14a253d1, 0x7c992803, 0x14966e36,
+    0x7c9d31b0, 0x148a87d1, 0x7ca13908, 0x147ea0a0,
+    0x7ca53e09, 0x1472b8a5, 0x7ca940b3, 0x1466cfe1,
+    0x7cad4107, 0x145ae653, 0x7cb13f04, 0x144efbfc,
+    0x7cb53aaa, 0x144310dd, 0x7cb933f9, 0x143724f5,
+    0x7cbd2af0, 0x142b3846, 0x7cc11f90, 0x141f4ad1,
+    0x7cc511d9, 0x14135c94, 0x7cc901c9, 0x14076d91,
+    0x7cccef62, 0x13fb7dc9, 0x7cd0daa2, 0x13ef8d3c,
+    0x7cd4c38b, 0x13e39be9, 0x7cd8aa1b, 0x13d7a9d3,
+    0x7cdc8e52, 0x13cbb6f8, 0x7ce07031, 0x13bfc35b,
+    0x7ce44fb7, 0x13b3cefa, 0x7ce82ce4, 0x13a7d9d7,
+    0x7cec07b8, 0x139be3f2, 0x7cefe032, 0x138fed4b,
+    0x7cf3b653, 0x1383f5e3, 0x7cf78a1b, 0x1377fdbb,
+    0x7cfb5b89, 0x136c04d2, 0x7cff2a9d, 0x13600b2a,
+    0x7d02f757, 0x135410c3, 0x7d06c1b6, 0x1348159d,
+    0x7d0a89bc, 0x133c19b8, 0x7d0e4f67, 0x13301d16,
+    0x7d1212b7, 0x13241fb6, 0x7d15d3ad, 0x1318219a,
+    0x7d199248, 0x130c22c1, 0x7d1d4e88, 0x1300232c,
+    0x7d21086c, 0x12f422db, 0x7d24bff6, 0x12e821cf,
+    0x7d287523, 0x12dc2009, 0x7d2c27f6, 0x12d01d89,
+    0x7d2fd86c, 0x12c41a4f, 0x7d338687, 0x12b8165b,
+    0x7d373245, 0x12ac11af, 0x7d3adba7, 0x12a00c4b,
+    0x7d3e82ae, 0x1294062f, 0x7d422757, 0x1287ff5b,
+    0x7d45c9a4, 0x127bf7d1, 0x7d496994, 0x126fef90,
+    0x7d4d0728, 0x1263e699, 0x7d50a25e, 0x1257dced,
+    0x7d543b37, 0x124bd28c, 0x7d57d1b3, 0x123fc776,
+    0x7d5b65d2, 0x1233bbac, 0x7d5ef793, 0x1227af2e,
+    0x7d6286f6, 0x121ba1fd, 0x7d6613fb, 0x120f941a,
+    0x7d699ea3, 0x12038584, 0x7d6d26ec, 0x11f7763c,
+    0x7d70acd7, 0x11eb6643, 0x7d743064, 0x11df5599,
+    0x7d77b192, 0x11d3443f, 0x7d7b3061, 0x11c73235,
+    0x7d7eacd2, 0x11bb1f7c, 0x7d8226e4, 0x11af0c13,
+    0x7d859e96, 0x11a2f7fc, 0x7d8913ea, 0x1196e337,
+    0x7d8c86de, 0x118acdc4, 0x7d8ff772, 0x117eb7a4,
+    0x7d9365a8, 0x1172a0d7, 0x7d96d17d, 0x1166895f,
+    0x7d9a3af2, 0x115a713a, 0x7d9da208, 0x114e586a,
+    0x7da106bd, 0x11423ef0, 0x7da46912, 0x113624cb,
+    0x7da7c907, 0x112a09fc, 0x7dab269b, 0x111dee84,
+    0x7dae81cf, 0x1111d263, 0x7db1daa2, 0x1105b599,
+    0x7db53113, 0x10f99827, 0x7db88524, 0x10ed7a0e,
+    0x7dbbd6d4, 0x10e15b4e, 0x7dbf2622, 0x10d53be7,
+    0x7dc2730f, 0x10c91bda, 0x7dc5bd9b, 0x10bcfb28,
+    0x7dc905c5, 0x10b0d9d0, 0x7dcc4b8d, 0x10a4b7d3,
+    0x7dcf8ef3, 0x10989532, 0x7dd2cff7, 0x108c71ee,
+    0x7dd60e99, 0x10804e06, 0x7dd94ad8, 0x1074297b,
+    0x7ddc84b5, 0x1068044e, 0x7ddfbc30, 0x105bde7f,
+    0x7de2f148, 0x104fb80e, 0x7de623fd, 0x104390fd,
+    0x7de9544f, 0x1037694b, 0x7dec823e, 0x102b40f8,
+    0x7defadca, 0x101f1807, 0x7df2d6f3, 0x1012ee76,
+    0x7df5fdb8, 0x1006c446, 0x7df9221a, 0xffa9979,
+    0x7dfc4418, 0xfee6e0d, 0x7dff63b2, 0xfe24205,
+    0x7e0280e9, 0xfd6155f, 0x7e059bbb, 0xfc9e81e,
+    0x7e08b42a, 0xfbdba40, 0x7e0bca34, 0xfb18bc8,
+    0x7e0eddd9, 0xfa55cb4, 0x7e11ef1b, 0xf992d06,
+    0x7e14fdf7, 0xf8cfcbe, 0x7e180a6f, 0xf80cbdc,
+    0x7e1b1482, 0xf749a61, 0x7e1e1c30, 0xf68684e,
+    0x7e212179, 0xf5c35a3, 0x7e24245d, 0xf500260,
+    0x7e2724db, 0xf43ce86, 0x7e2a22f4, 0xf379a16,
+    0x7e2d1ea8, 0xf2b650f, 0x7e3017f6, 0xf1f2f73,
+    0x7e330ede, 0xf12f941, 0x7e360360, 0xf06c27a,
+    0x7e38f57c, 0xefa8b20, 0x7e3be532, 0xeee5331,
+    0x7e3ed282, 0xee21aaf, 0x7e41bd6c, 0xed5e19a,
+    0x7e44a5ef, 0xec9a7f3, 0x7e478c0b, 0xebd6db9,
+    0x7e4a6fc1, 0xeb132ef, 0x7e4d5110, 0xea4f793,
+    0x7e502ff9, 0xe98bba7, 0x7e530c7a, 0xe8c7f2a,
+    0x7e55e694, 0xe80421e, 0x7e58be47, 0xe740483,
+    0x7e5b9392, 0xe67c65a, 0x7e5e6676, 0xe5b87a2,
+    0x7e6136f3, 0xe4f485c, 0x7e640507, 0xe430889,
+    0x7e66d0b4, 0xe36c82a, 0x7e6999fa, 0xe2a873e,
+    0x7e6c60d7, 0xe1e45c6, 0x7e6f254c, 0xe1203c3,
+    0x7e71e759, 0xe05c135, 0x7e74a6fd, 0xdf97e1d,
+    0x7e77643a, 0xded3a7b, 0x7e7a1f0d, 0xde0f64f,
+    0x7e7cd778, 0xdd4b19a, 0x7e7f8d7b, 0xdc86c5d,
+    0x7e824114, 0xdbc2698, 0x7e84f245, 0xdafe04b,
+    0x7e87a10c, 0xda39978, 0x7e8a4d6a, 0xd97521d,
+    0x7e8cf75f, 0xd8b0a3d, 0x7e8f9eeb, 0xd7ec1d6,
+    0x7e92440d, 0xd7278eb, 0x7e94e6c6, 0xd662f7b,
+    0x7e978715, 0xd59e586, 0x7e9a24fb, 0xd4d9b0e,
+    0x7e9cc076, 0xd415013, 0x7e9f5988, 0xd350495,
+    0x7ea1f02f, 0xd28b894, 0x7ea4846c, 0xd1c6c11,
+    0x7ea7163f, 0xd101f0e, 0x7ea9a5a8, 0xd03d189,
+    0x7eac32a6, 0xcf78383, 0x7eaebd3a, 0xceb34fe,
+    0x7eb14563, 0xcdee5f9, 0x7eb3cb21, 0xcd29676,
+    0x7eb64e75, 0xcc64673, 0x7eb8cf5d, 0xcb9f5f3,
+    0x7ebb4ddb, 0xcada4f5, 0x7ebdc9ed, 0xca1537a,
+    0x7ec04394, 0xc950182, 0x7ec2bad0, 0xc88af0e,
+    0x7ec52fa0, 0xc7c5c1e, 0x7ec7a205, 0xc7008b3,
+    0x7eca11fe, 0xc63b4ce, 0x7ecc7f8b, 0xc57606e,
+    0x7eceeaad, 0xc4b0b94, 0x7ed15363, 0xc3eb641,
+    0x7ed3b9ad, 0xc326075, 0x7ed61d8a, 0xc260a31,
+    0x7ed87efc, 0xc19b374, 0x7edade01, 0xc0d5c41,
+    0x7edd3a9a, 0xc010496, 0x7edf94c7, 0xbf4ac75,
+    0x7ee1ec87, 0xbe853de, 0x7ee441da, 0xbdbfad1,
+    0x7ee694c1, 0xbcfa150, 0x7ee8e53a, 0xbc34759,
+    0x7eeb3347, 0xbb6ecef, 0x7eed7ee7, 0xbaa9211,
+    0x7eefc81a, 0xb9e36c0, 0x7ef20ee0, 0xb91dafc,
+    0x7ef45338, 0xb857ec7, 0x7ef69523, 0xb79221f,
+    0x7ef8d4a1, 0xb6cc506, 0x7efb11b1, 0xb60677c,
+    0x7efd4c54, 0xb540982, 0x7eff8489, 0xb47ab19,
+    0x7f01ba50, 0xb3b4c40, 0x7f03eda9, 0xb2eecf8,
+    0x7f061e95, 0xb228d42, 0x7f084d12, 0xb162d1d,
+    0x7f0a7921, 0xb09cc8c, 0x7f0ca2c2, 0xafd6b8d,
+    0x7f0ec9f5, 0xaf10a22, 0x7f10eeb9, 0xae4a84b,
+    0x7f13110f, 0xad84609, 0x7f1530f7, 0xacbe35b,
+    0x7f174e70, 0xabf8043, 0x7f19697a, 0xab31cc1,
+    0x7f1b8215, 0xaa6b8d5, 0x7f1d9842, 0xa9a5480,
+    0x7f1fabff, 0xa8defc3, 0x7f21bd4e, 0xa818a9d,
+    0x7f23cc2e, 0xa752510, 0x7f25d89e, 0xa68bf1b,
+    0x7f27e29f, 0xa5c58c0, 0x7f29ea31, 0xa4ff1fe,
+    0x7f2bef53, 0xa438ad7, 0x7f2df206, 0xa37234a,
+    0x7f2ff24a, 0xa2abb59, 0x7f31f01d, 0xa1e5303,
+    0x7f33eb81, 0xa11ea49, 0x7f35e476, 0xa05812c,
+    0x7f37dafa, 0x9f917ac, 0x7f39cf0e, 0x9ecadc9,
+    0x7f3bc0b3, 0x9e04385, 0x7f3dafe7, 0x9d3d8df,
+    0x7f3f9cab, 0x9c76dd8, 0x7f4186ff, 0x9bb0271,
+    0x7f436ee3, 0x9ae96aa, 0x7f455456, 0x9a22a83,
+    0x7f473759, 0x995bdfd, 0x7f4917eb, 0x9895118,
+    0x7f4af60d, 0x97ce3d5, 0x7f4cd1be, 0x9707635,
+    0x7f4eaafe, 0x9640837, 0x7f5081cd, 0x95799dd,
+    0x7f52562c, 0x94b2b27, 0x7f54281a, 0x93ebc14,
+    0x7f55f796, 0x9324ca7, 0x7f57c4a2, 0x925dcdf,
+    0x7f598f3c, 0x9196cbc, 0x7f5b5765, 0x90cfc40,
+    0x7f5d1d1d, 0x9008b6a, 0x7f5ee063, 0x8f41a3c,
+    0x7f60a138, 0x8e7a8b5, 0x7f625f9b, 0x8db36d6,
+    0x7f641b8d, 0x8cec4a0, 0x7f65d50d, 0x8c25213,
+    0x7f678c1c, 0x8b5df30, 0x7f6940b8, 0x8a96bf6,
+    0x7f6af2e3, 0x89cf867, 0x7f6ca29c, 0x8908483,
+    0x7f6e4fe3, 0x884104b, 0x7f6ffab8, 0x8779bbe,
+    0x7f71a31b, 0x86b26de, 0x7f73490b, 0x85eb1ab,
+    0x7f74ec8a, 0x8523c25, 0x7f768d96, 0x845c64d,
+    0x7f782c30, 0x8395024, 0x7f79c857, 0x82cd9a9,
+    0x7f7b620c, 0x82062de, 0x7f7cf94e, 0x813ebc2,
+    0x7f7e8e1e, 0x8077457, 0x7f80207b, 0x7fafc9c,
+    0x7f81b065, 0x7ee8493, 0x7f833ddd, 0x7e20c3b,
+    0x7f84c8e2, 0x7d59396, 0x7f865174, 0x7c91aa3,
+    0x7f87d792, 0x7bca163, 0x7f895b3e, 0x7b027d7,
+    0x7f8adc77, 0x7a3adff, 0x7f8c5b3d, 0x79733dc,
+    0x7f8dd78f, 0x78ab96e, 0x7f8f516e, 0x77e3eb5,
+    0x7f90c8da, 0x771c3b3, 0x7f923dd2, 0x7654867,
+    0x7f93b058, 0x758ccd2, 0x7f952069, 0x74c50f4,
+    0x7f968e07, 0x73fd4cf, 0x7f97f932, 0x7335862,
+    0x7f9961e8, 0x726dbae, 0x7f9ac82c, 0x71a5eb3,
+    0x7f9c2bfb, 0x70de172, 0x7f9d8d56, 0x70163eb,
+    0x7f9eec3e, 0x6f4e620, 0x7fa048b2, 0x6e86810,
+    0x7fa1a2b2, 0x6dbe9bb, 0x7fa2fa3d, 0x6cf6b23,
+    0x7fa44f55, 0x6c2ec48, 0x7fa5a1f9, 0x6b66d29,
+    0x7fa6f228, 0x6a9edc9, 0x7fa83fe3, 0x69d6e27,
+    0x7fa98b2a, 0x690ee44, 0x7faad3fd, 0x6846e1f,
+    0x7fac1a5b, 0x677edbb, 0x7fad5e45, 0x66b6d16,
+    0x7fae9fbb, 0x65eec33, 0x7fafdebb, 0x6526b10,
+    0x7fb11b48, 0x645e9af, 0x7fb2555f, 0x6396810,
+    0x7fb38d02, 0x62ce634, 0x7fb4c231, 0x620641a,
+    0x7fb5f4ea, 0x613e1c5, 0x7fb7252f, 0x6075f33,
+    0x7fb852ff, 0x5fadc66, 0x7fb97e5a, 0x5ee595d,
+    0x7fbaa740, 0x5e1d61b, 0x7fbbcdb1, 0x5d5529e,
+    0x7fbcf1ad, 0x5c8cee7, 0x7fbe1334, 0x5bc4af8,
+    0x7fbf3246, 0x5afc6d0, 0x7fc04ee3, 0x5a3426f,
+    0x7fc1690a, 0x596bdd7, 0x7fc280bc, 0x58a3908,
+    0x7fc395f9, 0x57db403, 0x7fc4a8c1, 0x5712ec7,
+    0x7fc5b913, 0x564a955, 0x7fc6c6f0, 0x55823ae,
+    0x7fc7d258, 0x54b9dd3, 0x7fc8db4a, 0x53f17c3,
+    0x7fc9e1c6, 0x532917f, 0x7fcae5cd, 0x5260b08,
+    0x7fcbe75e, 0x519845e, 0x7fcce67a, 0x50cfd82,
+    0x7fcde320, 0x5007674, 0x7fcedd50, 0x4f3ef35,
+    0x7fcfd50b, 0x4e767c5, 0x7fd0ca4f, 0x4dae024,
+    0x7fd1bd1e, 0x4ce5854, 0x7fd2ad77, 0x4c1d054,
+    0x7fd39b5a, 0x4b54825, 0x7fd486c7, 0x4a8bfc7,
+    0x7fd56fbe, 0x49c373c, 0x7fd6563f, 0x48fae83,
+    0x7fd73a4a, 0x483259d, 0x7fd81bdf, 0x4769c8b,
+    0x7fd8fafe, 0x46a134c, 0x7fd9d7a7, 0x45d89e2,
+    0x7fdab1d9, 0x451004d, 0x7fdb8996, 0x444768d,
+    0x7fdc5edc, 0x437eca4, 0x7fdd31ac, 0x42b6290,
+    0x7fde0205, 0x41ed854, 0x7fdecfe8, 0x4124dee,
+    0x7fdf9b55, 0x405c361, 0x7fe0644b, 0x3f938ac,
+    0x7fe12acb, 0x3ecadcf, 0x7fe1eed5, 0x3e022cc,
+    0x7fe2b067, 0x3d397a3, 0x7fe36f84, 0x3c70c54,
+    0x7fe42c2a, 0x3ba80df, 0x7fe4e659, 0x3adf546,
+    0x7fe59e12, 0x3a16988, 0x7fe65354, 0x394dda7,
+    0x7fe7061f, 0x38851a2, 0x7fe7b674, 0x37bc57b,
+    0x7fe86452, 0x36f3931, 0x7fe90fb9, 0x362acc5,
+    0x7fe9b8a9, 0x3562038, 0x7fea5f23, 0x3499389,
+    0x7feb0326, 0x33d06bb, 0x7feba4b2, 0x33079cc,
+    0x7fec43c7, 0x323ecbe, 0x7fece065, 0x3175f91,
+    0x7fed7a8c, 0x30ad245, 0x7fee123d, 0x2fe44dc,
+    0x7feea776, 0x2f1b755, 0x7fef3a39, 0x2e529b0,
+    0x7fefca84, 0x2d89bf0, 0x7ff05858, 0x2cc0e13,
+    0x7ff0e3b6, 0x2bf801a, 0x7ff16c9c, 0x2b2f207,
+    0x7ff1f30b, 0x2a663d8, 0x7ff27703, 0x299d590,
+    0x7ff2f884, 0x28d472e, 0x7ff3778e, 0x280b8b3,
+    0x7ff3f420, 0x2742a1f, 0x7ff46e3c, 0x2679b73,
+    0x7ff4e5e0, 0x25b0caf, 0x7ff55b0d, 0x24e7dd4,
+    0x7ff5cdc3, 0x241eee2, 0x7ff63e01, 0x2355fd9,
+    0x7ff6abc8, 0x228d0bb, 0x7ff71718, 0x21c4188,
+    0x7ff77ff1, 0x20fb240, 0x7ff7e652, 0x20322e3,
+    0x7ff84a3c, 0x1f69373, 0x7ff8abae, 0x1ea03ef,
+    0x7ff90aaa, 0x1dd7459, 0x7ff9672d, 0x1d0e4b0,
+    0x7ff9c13a, 0x1c454f5, 0x7ffa18cf, 0x1b7c528,
+    0x7ffa6dec, 0x1ab354b, 0x7ffac092, 0x19ea55d,
+    0x7ffb10c1, 0x192155f, 0x7ffb5e78, 0x1858552,
+    0x7ffba9b8, 0x178f536, 0x7ffbf280, 0x16c650b,
+    0x7ffc38d1, 0x15fd4d2, 0x7ffc7caa, 0x153448c,
+    0x7ffcbe0c, 0x146b438, 0x7ffcfcf6, 0x13a23d8,
+    0x7ffd3969, 0x12d936c, 0x7ffd7364, 0x12102f4,
+    0x7ffdaae7, 0x1147271, 0x7ffddff3, 0x107e1e3,
+    0x7ffe1288, 0xfb514b, 0x7ffe42a4, 0xeec0aa,
+    0x7ffe704a, 0xe22fff, 0x7ffe9b77, 0xd59f4c,
+    0x7ffec42d, 0xc90e90, 0x7ffeea6c, 0xbc7dcc,
+    0x7fff0e32, 0xafed02, 0x7fff2f82, 0xa35c30,
+    0x7fff4e59, 0x96cb58, 0x7fff6ab9, 0x8a3a7b,
+    0x7fff84a1, 0x7da998, 0x7fff9c12, 0x7118b0,
+    0x7fffb10b, 0x6487c4, 0x7fffc38c, 0x57f6d4,
+    0x7fffd396, 0x4b65e1, 0x7fffe128, 0x3ed4ea,
+    0x7fffec43, 0x3243f1, 0x7ffff4e6, 0x25b2f7,
+    0x7ffffb11, 0x1921fb, 0x7ffffec4, 0xc90fe,
+    0x7fffffff, 0x0, 0x7ffffec4, 0xfff36f02,
+    0x7ffffb11, 0xffe6de05, 0x7ffff4e6, 0xffda4d09,
+    0x7fffec43, 0xffcdbc0f, 0x7fffe128, 0xffc12b16,
+    0x7fffd396, 0xffb49a1f, 0x7fffc38c, 0xffa8092c,
+    0x7fffb10b, 0xff9b783c, 0x7fff9c12, 0xff8ee750,
+    0x7fff84a1, 0xff825668, 0x7fff6ab9, 0xff75c585,
+    0x7fff4e59, 0xff6934a8, 0x7fff2f82, 0xff5ca3d0,
+    0x7fff0e32, 0xff5012fe, 0x7ffeea6c, 0xff438234,
+    0x7ffec42d, 0xff36f170, 0x7ffe9b77, 0xff2a60b4,
+    0x7ffe704a, 0xff1dd001, 0x7ffe42a4, 0xff113f56,
+    0x7ffe1288, 0xff04aeb5, 0x7ffddff3, 0xfef81e1d,
+    0x7ffdaae7, 0xfeeb8d8f, 0x7ffd7364, 0xfedefd0c,
+    0x7ffd3969, 0xfed26c94, 0x7ffcfcf6, 0xfec5dc28,
+    0x7ffcbe0c, 0xfeb94bc8, 0x7ffc7caa, 0xfeacbb74,
+    0x7ffc38d1, 0xfea02b2e, 0x7ffbf280, 0xfe939af5,
+    0x7ffba9b8, 0xfe870aca, 0x7ffb5e78, 0xfe7a7aae,
+    0x7ffb10c1, 0xfe6deaa1, 0x7ffac092, 0xfe615aa3,
+    0x7ffa6dec, 0xfe54cab5, 0x7ffa18cf, 0xfe483ad8,
+    0x7ff9c13a, 0xfe3bab0b, 0x7ff9672d, 0xfe2f1b50,
+    0x7ff90aaa, 0xfe228ba7, 0x7ff8abae, 0xfe15fc11,
+    0x7ff84a3c, 0xfe096c8d, 0x7ff7e652, 0xfdfcdd1d,
+    0x7ff77ff1, 0xfdf04dc0, 0x7ff71718, 0xfde3be78,
+    0x7ff6abc8, 0xfdd72f45, 0x7ff63e01, 0xfdcaa027,
+    0x7ff5cdc3, 0xfdbe111e, 0x7ff55b0d, 0xfdb1822c,
+    0x7ff4e5e0, 0xfda4f351, 0x7ff46e3c, 0xfd98648d,
+    0x7ff3f420, 0xfd8bd5e1, 0x7ff3778e, 0xfd7f474d,
+    0x7ff2f884, 0xfd72b8d2, 0x7ff27703, 0xfd662a70,
+    0x7ff1f30b, 0xfd599c28, 0x7ff16c9c, 0xfd4d0df9,
+    0x7ff0e3b6, 0xfd407fe6, 0x7ff05858, 0xfd33f1ed,
+    0x7fefca84, 0xfd276410, 0x7fef3a39, 0xfd1ad650,
+    0x7feea776, 0xfd0e48ab, 0x7fee123d, 0xfd01bb24,
+    0x7fed7a8c, 0xfcf52dbb, 0x7fece065, 0xfce8a06f,
+    0x7fec43c7, 0xfcdc1342, 0x7feba4b2, 0xfccf8634,
+    0x7feb0326, 0xfcc2f945, 0x7fea5f23, 0xfcb66c77,
+    0x7fe9b8a9, 0xfca9dfc8, 0x7fe90fb9, 0xfc9d533b,
+    0x7fe86452, 0xfc90c6cf, 0x7fe7b674, 0xfc843a85,
+    0x7fe7061f, 0xfc77ae5e, 0x7fe65354, 0xfc6b2259,
+    0x7fe59e12, 0xfc5e9678, 0x7fe4e659, 0xfc520aba,
+    0x7fe42c2a, 0xfc457f21, 0x7fe36f84, 0xfc38f3ac,
+    0x7fe2b067, 0xfc2c685d, 0x7fe1eed5, 0xfc1fdd34,
+    0x7fe12acb, 0xfc135231, 0x7fe0644b, 0xfc06c754,
+    0x7fdf9b55, 0xfbfa3c9f, 0x7fdecfe8, 0xfbedb212,
+    0x7fde0205, 0xfbe127ac, 0x7fdd31ac, 0xfbd49d70,
+    0x7fdc5edc, 0xfbc8135c, 0x7fdb8996, 0xfbbb8973,
+    0x7fdab1d9, 0xfbaeffb3, 0x7fd9d7a7, 0xfba2761e,
+    0x7fd8fafe, 0xfb95ecb4, 0x7fd81bdf, 0xfb896375,
+    0x7fd73a4a, 0xfb7cda63, 0x7fd6563f, 0xfb70517d,
+    0x7fd56fbe, 0xfb63c8c4, 0x7fd486c7, 0xfb574039,
+    0x7fd39b5a, 0xfb4ab7db, 0x7fd2ad77, 0xfb3e2fac,
+    0x7fd1bd1e, 0xfb31a7ac, 0x7fd0ca4f, 0xfb251fdc,
+    0x7fcfd50b, 0xfb18983b, 0x7fcedd50, 0xfb0c10cb,
+    0x7fcde320, 0xfaff898c, 0x7fcce67a, 0xfaf3027e,
+    0x7fcbe75e, 0xfae67ba2, 0x7fcae5cd, 0xfad9f4f8,
+    0x7fc9e1c6, 0xfacd6e81, 0x7fc8db4a, 0xfac0e83d,
+    0x7fc7d258, 0xfab4622d, 0x7fc6c6f0, 0xfaa7dc52,
+    0x7fc5b913, 0xfa9b56ab, 0x7fc4a8c1, 0xfa8ed139,
+    0x7fc395f9, 0xfa824bfd, 0x7fc280bc, 0xfa75c6f8,
+    0x7fc1690a, 0xfa694229, 0x7fc04ee3, 0xfa5cbd91,
+    0x7fbf3246, 0xfa503930, 0x7fbe1334, 0xfa43b508,
+    0x7fbcf1ad, 0xfa373119, 0x7fbbcdb1, 0xfa2aad62,
+    0x7fbaa740, 0xfa1e29e5, 0x7fb97e5a, 0xfa11a6a3,
+    0x7fb852ff, 0xfa05239a, 0x7fb7252f, 0xf9f8a0cd,
+    0x7fb5f4ea, 0xf9ec1e3b, 0x7fb4c231, 0xf9df9be6,
+    0x7fb38d02, 0xf9d319cc, 0x7fb2555f, 0xf9c697f0,
+    0x7fb11b48, 0xf9ba1651, 0x7fafdebb, 0xf9ad94f0,
+    0x7fae9fbb, 0xf9a113cd, 0x7fad5e45, 0xf99492ea,
+    0x7fac1a5b, 0xf9881245, 0x7faad3fd, 0xf97b91e1,
+    0x7fa98b2a, 0xf96f11bc, 0x7fa83fe3, 0xf96291d9,
+    0x7fa6f228, 0xf9561237, 0x7fa5a1f9, 0xf94992d7,
+    0x7fa44f55, 0xf93d13b8, 0x7fa2fa3d, 0xf93094dd,
+    0x7fa1a2b2, 0xf9241645, 0x7fa048b2, 0xf91797f0,
+    0x7f9eec3e, 0xf90b19e0, 0x7f9d8d56, 0xf8fe9c15,
+    0x7f9c2bfb, 0xf8f21e8e, 0x7f9ac82c, 0xf8e5a14d,
+    0x7f9961e8, 0xf8d92452, 0x7f97f932, 0xf8cca79e,
+    0x7f968e07, 0xf8c02b31, 0x7f952069, 0xf8b3af0c,
+    0x7f93b058, 0xf8a7332e, 0x7f923dd2, 0xf89ab799,
+    0x7f90c8da, 0xf88e3c4d, 0x7f8f516e, 0xf881c14b,
+    0x7f8dd78f, 0xf8754692, 0x7f8c5b3d, 0xf868cc24,
+    0x7f8adc77, 0xf85c5201, 0x7f895b3e, 0xf84fd829,
+    0x7f87d792, 0xf8435e9d, 0x7f865174, 0xf836e55d,
+    0x7f84c8e2, 0xf82a6c6a, 0x7f833ddd, 0xf81df3c5,
+    0x7f81b065, 0xf8117b6d, 0x7f80207b, 0xf8050364,
+    0x7f7e8e1e, 0xf7f88ba9, 0x7f7cf94e, 0xf7ec143e,
+    0x7f7b620c, 0xf7df9d22, 0x7f79c857, 0xf7d32657,
+    0x7f782c30, 0xf7c6afdc, 0x7f768d96, 0xf7ba39b3,
+    0x7f74ec8a, 0xf7adc3db, 0x7f73490b, 0xf7a14e55,
+    0x7f71a31b, 0xf794d922, 0x7f6ffab8, 0xf7886442,
+    0x7f6e4fe3, 0xf77befb5, 0x7f6ca29c, 0xf76f7b7d,
+    0x7f6af2e3, 0xf7630799, 0x7f6940b8, 0xf756940a,
+    0x7f678c1c, 0xf74a20d0, 0x7f65d50d, 0xf73daded,
+    0x7f641b8d, 0xf7313b60, 0x7f625f9b, 0xf724c92a,
+    0x7f60a138, 0xf718574b, 0x7f5ee063, 0xf70be5c4,
+    0x7f5d1d1d, 0xf6ff7496, 0x7f5b5765, 0xf6f303c0,
+    0x7f598f3c, 0xf6e69344, 0x7f57c4a2, 0xf6da2321,
+    0x7f55f796, 0xf6cdb359, 0x7f54281a, 0xf6c143ec,
+    0x7f52562c, 0xf6b4d4d9, 0x7f5081cd, 0xf6a86623,
+    0x7f4eaafe, 0xf69bf7c9, 0x7f4cd1be, 0xf68f89cb,
+    0x7f4af60d, 0xf6831c2b, 0x7f4917eb, 0xf676aee8,
+    0x7f473759, 0xf66a4203, 0x7f455456, 0xf65dd57d,
+    0x7f436ee3, 0xf6516956, 0x7f4186ff, 0xf644fd8f,
+    0x7f3f9cab, 0xf6389228, 0x7f3dafe7, 0xf62c2721,
+    0x7f3bc0b3, 0xf61fbc7b, 0x7f39cf0e, 0xf6135237,
+    0x7f37dafa, 0xf606e854, 0x7f35e476, 0xf5fa7ed4,
+    0x7f33eb81, 0xf5ee15b7, 0x7f31f01d, 0xf5e1acfd,
+    0x7f2ff24a, 0xf5d544a7, 0x7f2df206, 0xf5c8dcb6,
+    0x7f2bef53, 0xf5bc7529, 0x7f29ea31, 0xf5b00e02,
+    0x7f27e29f, 0xf5a3a740, 0x7f25d89e, 0xf59740e5,
+    0x7f23cc2e, 0xf58adaf0, 0x7f21bd4e, 0xf57e7563,
+    0x7f1fabff, 0xf572103d, 0x7f1d9842, 0xf565ab80,
+    0x7f1b8215, 0xf559472b, 0x7f19697a, 0xf54ce33f,
+    0x7f174e70, 0xf5407fbd, 0x7f1530f7, 0xf5341ca5,
+    0x7f13110f, 0xf527b9f7, 0x7f10eeb9, 0xf51b57b5,
+    0x7f0ec9f5, 0xf50ef5de, 0x7f0ca2c2, 0xf5029473,
+    0x7f0a7921, 0xf4f63374, 0x7f084d12, 0xf4e9d2e3,
+    0x7f061e95, 0xf4dd72be, 0x7f03eda9, 0xf4d11308,
+    0x7f01ba50, 0xf4c4b3c0, 0x7eff8489, 0xf4b854e7,
+    0x7efd4c54, 0xf4abf67e, 0x7efb11b1, 0xf49f9884,
+    0x7ef8d4a1, 0xf4933afa, 0x7ef69523, 0xf486dde1,
+    0x7ef45338, 0xf47a8139, 0x7ef20ee0, 0xf46e2504,
+    0x7eefc81a, 0xf461c940, 0x7eed7ee7, 0xf4556def,
+    0x7eeb3347, 0xf4491311, 0x7ee8e53a, 0xf43cb8a7,
+    0x7ee694c1, 0xf4305eb0, 0x7ee441da, 0xf424052f,
+    0x7ee1ec87, 0xf417ac22, 0x7edf94c7, 0xf40b538b,
+    0x7edd3a9a, 0xf3fefb6a, 0x7edade01, 0xf3f2a3bf,
+    0x7ed87efc, 0xf3e64c8c, 0x7ed61d8a, 0xf3d9f5cf,
+    0x7ed3b9ad, 0xf3cd9f8b, 0x7ed15363, 0xf3c149bf,
+    0x7eceeaad, 0xf3b4f46c, 0x7ecc7f8b, 0xf3a89f92,
+    0x7eca11fe, 0xf39c4b32, 0x7ec7a205, 0xf38ff74d,
+    0x7ec52fa0, 0xf383a3e2, 0x7ec2bad0, 0xf37750f2,
+    0x7ec04394, 0xf36afe7e, 0x7ebdc9ed, 0xf35eac86,
+    0x7ebb4ddb, 0xf3525b0b, 0x7eb8cf5d, 0xf3460a0d,
+    0x7eb64e75, 0xf339b98d, 0x7eb3cb21, 0xf32d698a,
+    0x7eb14563, 0xf3211a07, 0x7eaebd3a, 0xf314cb02,
+    0x7eac32a6, 0xf3087c7d, 0x7ea9a5a8, 0xf2fc2e77,
+    0x7ea7163f, 0xf2efe0f2, 0x7ea4846c, 0xf2e393ef,
+    0x7ea1f02f, 0xf2d7476c, 0x7e9f5988, 0xf2cafb6b,
+    0x7e9cc076, 0xf2beafed, 0x7e9a24fb, 0xf2b264f2,
+    0x7e978715, 0xf2a61a7a, 0x7e94e6c6, 0xf299d085,
+    0x7e92440d, 0xf28d8715, 0x7e8f9eeb, 0xf2813e2a,
+    0x7e8cf75f, 0xf274f5c3, 0x7e8a4d6a, 0xf268ade3,
+    0x7e87a10c, 0xf25c6688, 0x7e84f245, 0xf2501fb5,
+    0x7e824114, 0xf243d968, 0x7e7f8d7b, 0xf23793a3,
+    0x7e7cd778, 0xf22b4e66, 0x7e7a1f0d, 0xf21f09b1,
+    0x7e77643a, 0xf212c585, 0x7e74a6fd, 0xf20681e3,
+    0x7e71e759, 0xf1fa3ecb, 0x7e6f254c, 0xf1edfc3d,
+    0x7e6c60d7, 0xf1e1ba3a, 0x7e6999fa, 0xf1d578c2,
+    0x7e66d0b4, 0xf1c937d6, 0x7e640507, 0xf1bcf777,
+    0x7e6136f3, 0xf1b0b7a4, 0x7e5e6676, 0xf1a4785e,
+    0x7e5b9392, 0xf19839a6, 0x7e58be47, 0xf18bfb7d,
+    0x7e55e694, 0xf17fbde2, 0x7e530c7a, 0xf17380d6,
+    0x7e502ff9, 0xf1674459, 0x7e4d5110, 0xf15b086d,
+    0x7e4a6fc1, 0xf14ecd11, 0x7e478c0b, 0xf1429247,
+    0x7e44a5ef, 0xf136580d, 0x7e41bd6c, 0xf12a1e66,
+    0x7e3ed282, 0xf11de551, 0x7e3be532, 0xf111accf,
+    0x7e38f57c, 0xf10574e0, 0x7e360360, 0xf0f93d86,
+    0x7e330ede, 0xf0ed06bf, 0x7e3017f6, 0xf0e0d08d,
+    0x7e2d1ea8, 0xf0d49af1, 0x7e2a22f4, 0xf0c865ea,
+    0x7e2724db, 0xf0bc317a, 0x7e24245d, 0xf0affda0,
+    0x7e212179, 0xf0a3ca5d, 0x7e1e1c30, 0xf09797b2,
+    0x7e1b1482, 0xf08b659f, 0x7e180a6f, 0xf07f3424,
+    0x7e14fdf7, 0xf0730342, 0x7e11ef1b, 0xf066d2fa,
+    0x7e0eddd9, 0xf05aa34c, 0x7e0bca34, 0xf04e7438,
+    0x7e08b42a, 0xf04245c0, 0x7e059bbb, 0xf03617e2,
+    0x7e0280e9, 0xf029eaa1, 0x7dff63b2, 0xf01dbdfb,
+    0x7dfc4418, 0xf01191f3, 0x7df9221a, 0xf0056687,
+    0x7df5fdb8, 0xeff93bba, 0x7df2d6f3, 0xefed118a,
+    0x7defadca, 0xefe0e7f9, 0x7dec823e, 0xefd4bf08,
+    0x7de9544f, 0xefc896b5, 0x7de623fd, 0xefbc6f03,
+    0x7de2f148, 0xefb047f2, 0x7ddfbc30, 0xefa42181,
+    0x7ddc84b5, 0xef97fbb2, 0x7dd94ad8, 0xef8bd685,
+    0x7dd60e99, 0xef7fb1fa, 0x7dd2cff7, 0xef738e12,
+    0x7dcf8ef3, 0xef676ace, 0x7dcc4b8d, 0xef5b482d,
+    0x7dc905c5, 0xef4f2630, 0x7dc5bd9b, 0xef4304d8,
+    0x7dc2730f, 0xef36e426, 0x7dbf2622, 0xef2ac419,
+    0x7dbbd6d4, 0xef1ea4b2, 0x7db88524, 0xef1285f2,
+    0x7db53113, 0xef0667d9, 0x7db1daa2, 0xeefa4a67,
+    0x7dae81cf, 0xeeee2d9d, 0x7dab269b, 0xeee2117c,
+    0x7da7c907, 0xeed5f604, 0x7da46912, 0xeec9db35,
+    0x7da106bd, 0xeebdc110, 0x7d9da208, 0xeeb1a796,
+    0x7d9a3af2, 0xeea58ec6, 0x7d96d17d, 0xee9976a1,
+    0x7d9365a8, 0xee8d5f29, 0x7d8ff772, 0xee81485c,
+    0x7d8c86de, 0xee75323c, 0x7d8913ea, 0xee691cc9,
+    0x7d859e96, 0xee5d0804, 0x7d8226e4, 0xee50f3ed,
+    0x7d7eacd2, 0xee44e084, 0x7d7b3061, 0xee38cdcb,
+    0x7d77b192, 0xee2cbbc1, 0x7d743064, 0xee20aa67,
+    0x7d70acd7, 0xee1499bd, 0x7d6d26ec, 0xee0889c4,
+    0x7d699ea3, 0xedfc7a7c, 0x7d6613fb, 0xedf06be6,
+    0x7d6286f6, 0xede45e03, 0x7d5ef793, 0xedd850d2,
+    0x7d5b65d2, 0xedcc4454, 0x7d57d1b3, 0xedc0388a,
+    0x7d543b37, 0xedb42d74, 0x7d50a25e, 0xeda82313,
+    0x7d4d0728, 0xed9c1967, 0x7d496994, 0xed901070,
+    0x7d45c9a4, 0xed84082f, 0x7d422757, 0xed7800a5,
+    0x7d3e82ae, 0xed6bf9d1, 0x7d3adba7, 0xed5ff3b5,
+    0x7d373245, 0xed53ee51, 0x7d338687, 0xed47e9a5,
+    0x7d2fd86c, 0xed3be5b1, 0x7d2c27f6, 0xed2fe277,
+    0x7d287523, 0xed23dff7, 0x7d24bff6, 0xed17de31,
+    0x7d21086c, 0xed0bdd25, 0x7d1d4e88, 0xecffdcd4,
+    0x7d199248, 0xecf3dd3f, 0x7d15d3ad, 0xece7de66,
+    0x7d1212b7, 0xecdbe04a, 0x7d0e4f67, 0xeccfe2ea,
+    0x7d0a89bc, 0xecc3e648, 0x7d06c1b6, 0xecb7ea63,
+    0x7d02f757, 0xecabef3d, 0x7cff2a9d, 0xec9ff4d6,
+    0x7cfb5b89, 0xec93fb2e, 0x7cf78a1b, 0xec880245,
+    0x7cf3b653, 0xec7c0a1d, 0x7cefe032, 0xec7012b5,
+    0x7cec07b8, 0xec641c0e, 0x7ce82ce4, 0xec582629,
+    0x7ce44fb7, 0xec4c3106, 0x7ce07031, 0xec403ca5,
+    0x7cdc8e52, 0xec344908, 0x7cd8aa1b, 0xec28562d,
+    0x7cd4c38b, 0xec1c6417, 0x7cd0daa2, 0xec1072c4,
+    0x7cccef62, 0xec048237, 0x7cc901c9, 0xebf8926f,
+    0x7cc511d9, 0xebeca36c, 0x7cc11f90, 0xebe0b52f,
+    0x7cbd2af0, 0xebd4c7ba, 0x7cb933f9, 0xebc8db0b,
+    0x7cb53aaa, 0xebbcef23, 0x7cb13f04, 0xebb10404,
+    0x7cad4107, 0xeba519ad, 0x7ca940b3, 0xeb99301f,
+    0x7ca53e09, 0xeb8d475b, 0x7ca13908, 0xeb815f60,
+    0x7c9d31b0, 0xeb75782f, 0x7c992803, 0xeb6991ca,
+    0x7c951bff, 0xeb5dac2f, 0x7c910da5, 0xeb51c760,
+    0x7c8cfcf6, 0xeb45e35d, 0x7c88e9f1, 0xeb3a0027,
+    0x7c84d496, 0xeb2e1dbe, 0x7c80bce7, 0xeb223c22,
+    0x7c7ca2e2, 0xeb165b54, 0x7c788688, 0xeb0a7b54,
+    0x7c7467d9, 0xeafe9c24, 0x7c7046d6, 0xeaf2bdc3,
+    0x7c6c237e, 0xeae6e031, 0x7c67fdd1, 0xeadb0370,
+    0x7c63d5d1, 0xeacf277f, 0x7c5fab7c, 0xeac34c60,
+    0x7c5b7ed4, 0xeab77212, 0x7c574fd8, 0xeaab9896,
+    0x7c531e88, 0xea9fbfed, 0x7c4eeae5, 0xea93e817,
+    0x7c4ab4ef, 0xea881114, 0x7c467ca6, 0xea7c3ae5,
+    0x7c42420a, 0xea70658a, 0x7c3e051b, 0xea649105,
+    0x7c39c5da, 0xea58bd54, 0x7c358446, 0xea4cea79,
+    0x7c314060, 0xea411874, 0x7c2cfa28, 0xea354746,
+    0x7c28b19e, 0xea2976ef, 0x7c2466c2, 0xea1da770,
+    0x7c201994, 0xea11d8c8, 0x7c1bca16, 0xea060af9,
+    0x7c177845, 0xe9fa3e03, 0x7c132424, 0xe9ee71e6,
+    0x7c0ecdb2, 0xe9e2a6a3, 0x7c0a74f0, 0xe9d6dc3b,
+    0x7c0619dc, 0xe9cb12ad, 0x7c01bc78, 0xe9bf49fa,
+    0x7bfd5cc4, 0xe9b38223, 0x7bf8fac0, 0xe9a7bb28,
+    0x7bf4966c, 0xe99bf509, 0x7bf02fc9, 0xe9902fc7,
+    0x7bebc6d5, 0xe9846b63, 0x7be75b93, 0xe978a7dd,
+    0x7be2ee01, 0xe96ce535, 0x7bde7e20, 0xe961236c,
+    0x7bda0bf0, 0xe9556282, 0x7bd59771, 0xe949a278,
+    0x7bd120a4, 0xe93de34e, 0x7bcca789, 0xe9322505,
+    0x7bc82c1f, 0xe926679c, 0x7bc3ae67, 0xe91aab16,
+    0x7bbf2e62, 0xe90eef71, 0x7bbaac0e, 0xe90334af,
+    0x7bb6276e, 0xe8f77acf, 0x7bb1a080, 0xe8ebc1d3,
+    0x7bad1744, 0xe8e009ba, 0x7ba88bbc, 0xe8d45286,
+    0x7ba3fde7, 0xe8c89c37, 0x7b9f6dc5, 0xe8bce6cd,
+    0x7b9adb57, 0xe8b13248, 0x7b96469d, 0xe8a57ea9,
+    0x7b91af97, 0xe899cbf1, 0x7b8d1644, 0xe88e1a20,
+    0x7b887aa6, 0xe8826936, 0x7b83dcbc, 0xe876b934,
+    0x7b7f3c87, 0xe86b0a1a, 0x7b7a9a07, 0xe85f5be9,
+    0x7b75f53c, 0xe853aea1, 0x7b714e25, 0xe8480243,
+    0x7b6ca4c4, 0xe83c56cf, 0x7b67f919, 0xe830ac45,
+    0x7b634b23, 0xe82502a7, 0x7b5e9ae4, 0xe81959f4,
+    0x7b59e85a, 0xe80db22d, 0x7b553386, 0xe8020b52,
+    0x7b507c69, 0xe7f66564, 0x7b4bc303, 0xe7eac063,
+    0x7b470753, 0xe7df1c50, 0x7b42495a, 0xe7d3792b,
+    0x7b3d8918, 0xe7c7d6f4, 0x7b38c68e, 0xe7bc35ad,
+    0x7b3401bb, 0xe7b09555, 0x7b2f3aa0, 0xe7a4f5ed,
+    0x7b2a713d, 0xe7995776, 0x7b25a591, 0xe78db9ef,
+    0x7b20d79e, 0xe7821d59, 0x7b1c0764, 0xe77681b6,
+    0x7b1734e2, 0xe76ae704, 0x7b126019, 0xe75f4d45,
+    0x7b0d8909, 0xe753b479, 0x7b08afb2, 0xe7481ca1,
+    0x7b03d414, 0xe73c85bc, 0x7afef630, 0xe730efcc,
+    0x7afa1605, 0xe7255ad1, 0x7af53395, 0xe719c6cb,
+    0x7af04edf, 0xe70e33bb, 0x7aeb67e3, 0xe702a1a1,
+    0x7ae67ea1, 0xe6f7107e, 0x7ae1931a, 0xe6eb8052,
+    0x7adca54e, 0xe6dff11d, 0x7ad7b53d, 0xe6d462e1,
+    0x7ad2c2e8, 0xe6c8d59c, 0x7acdce4d, 0xe6bd4951,
+    0x7ac8d76f, 0xe6b1bdff, 0x7ac3de4c, 0xe6a633a6,
+    0x7abee2e5, 0xe69aaa48, 0x7ab9e53a, 0xe68f21e5,
+    0x7ab4e54c, 0xe6839a7c, 0x7aafe31b, 0xe6781410,
+    0x7aaadea6, 0xe66c8e9f, 0x7aa5d7ee, 0xe6610a2a,
+    0x7aa0cef3, 0xe65586b3, 0x7a9bc3b6, 0xe64a0438,
+    0x7a96b636, 0xe63e82bc, 0x7a91a674, 0xe633023e,
+    0x7a8c9470, 0xe62782be, 0x7a87802a, 0xe61c043d,
+    0x7a8269a3, 0xe61086bc, 0x7a7d50da, 0xe6050a3b,
+    0x7a7835cf, 0xe5f98ebb, 0x7a731884, 0xe5ee143b,
+    0x7a6df8f8, 0xe5e29abc, 0x7a68d72b, 0xe5d72240,
+    0x7a63b31d, 0xe5cbaac5, 0x7a5e8cd0, 0xe5c0344d,
+    0x7a596442, 0xe5b4bed8, 0x7a543974, 0xe5a94a67,
+    0x7a4f0c67, 0xe59dd6f9, 0x7a49dd1a, 0xe5926490,
+    0x7a44ab8e, 0xe586f32c, 0x7a3f77c3, 0xe57b82cd,
+    0x7a3a41b9, 0xe5701374, 0x7a350970, 0xe564a521,
+    0x7a2fcee8, 0xe55937d5, 0x7a2a9223, 0xe54dcb8f,
+    0x7a25531f, 0xe5426051, 0x7a2011de, 0xe536f61b,
+    0x7a1ace5f, 0xe52b8cee, 0x7a1588a2, 0xe52024c9,
+    0x7a1040a8, 0xe514bdad, 0x7a0af671, 0xe509579b,
+    0x7a05a9fd, 0xe4fdf294, 0x7a005b4d, 0xe4f28e96,
+    0x79fb0a60, 0xe4e72ba4, 0x79f5b737, 0xe4dbc9bd,
+    0x79f061d2, 0xe4d068e2, 0x79eb0a31, 0xe4c50914,
+    0x79e5b054, 0xe4b9aa52, 0x79e0543c, 0xe4ae4c9d,
+    0x79daf5e8, 0xe4a2eff6, 0x79d5955a, 0xe497945d,
+    0x79d03291, 0xe48c39d3, 0x79cacd8d, 0xe480e057,
+    0x79c5664f, 0xe47587eb, 0x79bffcd7, 0xe46a308f,
+    0x79ba9125, 0xe45eda43, 0x79b52339, 0xe4538507,
+    0x79afb313, 0xe44830dd, 0x79aa40b4, 0xe43cddc4,
+    0x79a4cc1c, 0xe4318bbe, 0x799f554b, 0xe4263ac9,
+    0x7999dc42, 0xe41aeae8, 0x799460ff, 0xe40f9c1a,
+    0x798ee385, 0xe4044e60, 0x798963d2, 0xe3f901ba,
+    0x7983e1e8, 0xe3edb628, 0x797e5dc6, 0xe3e26bac,
+    0x7978d76c, 0xe3d72245, 0x79734edc, 0xe3cbd9f4,
+    0x796dc414, 0xe3c092b9, 0x79683715, 0xe3b54c95,
+    0x7962a7e0, 0xe3aa0788, 0x795d1675, 0xe39ec393,
+    0x795782d3, 0xe39380b6, 0x7951ecfc, 0xe3883ef2,
+    0x794c54ee, 0xe37cfe47, 0x7946baac, 0xe371beb5,
+    0x79411e33, 0xe366803c, 0x793b7f86, 0xe35b42df,
+    0x7935dea4, 0xe350069b, 0x79303b8e, 0xe344cb73,
+    0x792a9642, 0xe3399167, 0x7924eec3, 0xe32e5876,
+    0x791f4510, 0xe32320a2, 0x79199929, 0xe317e9eb,
+    0x7913eb0e, 0xe30cb451, 0x790e3ac0, 0xe3017fd5,
+    0x7908883f, 0xe2f64c77, 0x7902d38b, 0xe2eb1a37,
+    0x78fd1ca4, 0xe2dfe917, 0x78f7638b, 0xe2d4b916,
+    0x78f1a840, 0xe2c98a35, 0x78ebeac2, 0xe2be5c74,
+    0x78e62b13, 0xe2b32fd4, 0x78e06932, 0xe2a80456,
+    0x78daa520, 0xe29cd9f8, 0x78d4dedd, 0xe291b0bd,
+    0x78cf1669, 0xe28688a4, 0x78c94bc4, 0xe27b61af,
+    0x78c37eef, 0xe2703bdc, 0x78bdafea, 0xe265172e,
+    0x78b7deb4, 0xe259f3a3, 0x78b20b4f, 0xe24ed13d,
+    0x78ac35ba, 0xe243affc, 0x78a65df6, 0xe2388fe1,
+    0x78a08402, 0xe22d70eb, 0x789aa7e0, 0xe222531c,
+    0x7894c98f, 0xe2173674, 0x788ee910, 0xe20c1af3,
+    0x78890663, 0xe2010099, 0x78832187, 0xe1f5e768,
+    0x787d3a7e, 0xe1eacf5f, 0x78775147, 0xe1dfb87f,
+    0x787165e3, 0xe1d4a2c8, 0x786b7852, 0xe1c98e3b,
+    0x78658894, 0xe1be7ad8, 0x785f96a9, 0xe1b368a0,
+    0x7859a292, 0xe1a85793, 0x7853ac4f, 0xe19d47b1,
+    0x784db3e0, 0xe19238fb, 0x7847b946, 0xe1872b72,
+    0x7841bc7f, 0xe17c1f15, 0x783bbd8e, 0xe17113e5,
+    0x7835bc71, 0xe16609e3, 0x782fb92a, 0xe15b0110,
+    0x7829b3b9, 0xe14ff96a, 0x7823ac1d, 0xe144f2f3,
+    0x781da256, 0xe139edac, 0x78179666, 0xe12ee995,
+    0x7811884d, 0xe123e6ad, 0x780b780a, 0xe118e4f6,
+    0x7805659e, 0xe10de470, 0x77ff5109, 0xe102e51c,
+    0x77f93a4b, 0xe0f7e6f9, 0x77f32165, 0xe0ecea09,
+    0x77ed0657, 0xe0e1ee4b, 0x77e6e921, 0xe0d6f3c1,
+    0x77e0c9c3, 0xe0cbfa6a, 0x77daa83d, 0xe0c10247,
+    0x77d48490, 0xe0b60b58, 0x77ce5ebd, 0xe0ab159e,
+    0x77c836c2, 0xe0a0211a, 0x77c20ca1, 0xe0952dcb,
+    0x77bbe05a, 0xe08a3bb2, 0x77b5b1ec, 0xe07f4acf,
+    0x77af8159, 0xe0745b24, 0x77a94ea0, 0xe0696cb0,
+    0x77a319c2, 0xe05e7f74, 0x779ce2be, 0xe053936f,
+    0x7796a996, 0xe048a8a4, 0x77906e49, 0xe03dbf11,
+    0x778a30d8, 0xe032d6b8, 0x7783f143, 0xe027ef99,
+    0x777daf89, 0xe01d09b4, 0x77776bac, 0xe012250a,
+    0x777125ac, 0xe007419b, 0x776add88, 0xdffc5f67,
+    0x77649341, 0xdff17e70, 0x775e46d8, 0xdfe69eb4,
+    0x7757f84c, 0xdfdbc036, 0x7751a79e, 0xdfd0e2f5,
+    0x774b54ce, 0xdfc606f1, 0x7744ffdd, 0xdfbb2c2c,
+    0x773ea8ca, 0xdfb052a5, 0x77384f95, 0xdfa57a5d,
+    0x7731f440, 0xdf9aa354, 0x772b96ca, 0xdf8fcd8b,
+    0x77253733, 0xdf84f902, 0x771ed57c, 0xdf7a25ba,
+    0x771871a5, 0xdf6f53b3, 0x77120bae, 0xdf6482ed,
+    0x770ba398, 0xdf59b369, 0x77053962, 0xdf4ee527,
+    0x76fecd0e, 0xdf441828, 0x76f85e9a, 0xdf394c6b,
+    0x76f1ee09, 0xdf2e81f3, 0x76eb7b58, 0xdf23b8be,
+    0x76e5068a, 0xdf18f0ce, 0x76de8f9e, 0xdf0e2a22,
+    0x76d81695, 0xdf0364bc, 0x76d19b6e, 0xdef8a09b,
+    0x76cb1e2a, 0xdeedddc0, 0x76c49ec9, 0xdee31c2b,
+    0x76be1d4c, 0xded85bdd, 0x76b799b3, 0xdecd9cd7,
+    0x76b113fd, 0xdec2df18, 0x76aa8c2c, 0xdeb822a1,
+    0x76a4023f, 0xdead6773, 0x769d7637, 0xdea2ad8d,
+    0x7696e814, 0xde97f4f1, 0x769057d6, 0xde8d3d9e,
+    0x7689c57d, 0xde828796, 0x7683310b, 0xde77d2d8,
+    0x767c9a7e, 0xde6d1f65, 0x767601d7, 0xde626d3e,
+    0x766f6717, 0xde57bc62, 0x7668ca3e, 0xde4d0cd2,
+    0x76622b4c, 0xde425e8f, 0x765b8a41, 0xde37b199,
+    0x7654e71d, 0xde2d05f1, 0x764e41e2, 0xde225b96,
+    0x76479a8e, 0xde17b28a, 0x7640f123, 0xde0d0acc,
+    0x763a45a0, 0xde02645d, 0x76339806, 0xddf7bf3e,
+    0x762ce855, 0xdded1b6e, 0x7626368d, 0xdde278ef,
+    0x761f82af, 0xddd7d7c1, 0x7618ccba, 0xddcd37e4,
+    0x761214b0, 0xddc29958, 0x760b5a90, 0xddb7fc1e,
+    0x76049e5b, 0xddad6036, 0x75fde011, 0xdda2c5a2,
+    0x75f71fb1, 0xdd982c60, 0x75f05d3d, 0xdd8d9472,
+    0x75e998b5, 0xdd82fdd8, 0x75e2d219, 0xdd786892,
+    0x75dc0968, 0xdd6dd4a2, 0x75d53ea5, 0xdd634206,
+    0x75ce71ce, 0xdd58b0c0, 0x75c7a2e3, 0xdd4e20d0,
+    0x75c0d1e7, 0xdd439236, 0x75b9fed7, 0xdd3904f4,
+    0x75b329b5, 0xdd2e7908, 0x75ac5282, 0xdd23ee74,
+    0x75a5793c, 0xdd196538, 0x759e9de5, 0xdd0edd55,
+    0x7597c07d, 0xdd0456ca, 0x7590e104, 0xdcf9d199,
+    0x7589ff7a, 0xdcef4dc2, 0x75831be0, 0xdce4cb44,
+    0x757c3636, 0xdcda4a21, 0x75754e7c, 0xdccfca59,
+    0x756e64b2, 0xdcc54bec, 0x756778d9, 0xdcbacedb,
+    0x75608af1, 0xdcb05326, 0x75599afa, 0xdca5d8cd,
+    0x7552a8f4, 0xdc9b5fd2, 0x754bb4e1, 0xdc90e834,
+    0x7544bebf, 0xdc8671f3, 0x753dc68f, 0xdc7bfd11,
+    0x7536cc52, 0xdc71898d, 0x752fd008, 0xdc671768,
+    0x7528d1b1, 0xdc5ca6a2, 0x7521d14d, 0xdc52373c,
+    0x751acedd, 0xdc47c936, 0x7513ca60, 0xdc3d5c91,
+    0x750cc3d8, 0xdc32f14d, 0x7505bb44, 0xdc28876a,
+    0x74feb0a5, 0xdc1e1ee9, 0x74f7a3fb, 0xdc13b7c9,
+    0x74f09546, 0xdc09520d, 0x74e98487, 0xdbfeedb3,
+    0x74e271bd, 0xdbf48abd, 0x74db5cea, 0xdbea292b,
+    0x74d4460c, 0xdbdfc8fc, 0x74cd2d26, 0xdbd56a32,
+    0x74c61236, 0xdbcb0cce, 0x74bef53d, 0xdbc0b0ce,
+    0x74b7d63c, 0xdbb65634, 0x74b0b533, 0xdbabfd01,
+    0x74a99221, 0xdba1a534, 0x74a26d08, 0xdb974ece,
+    0x749b45e7, 0xdb8cf9cf, 0x74941cbf, 0xdb82a638,
+    0x748cf190, 0xdb785409, 0x7485c45b, 0xdb6e0342,
+    0x747e951f, 0xdb63b3e5, 0x747763dd, 0xdb5965f1,
+    0x74703095, 0xdb4f1967, 0x7468fb47, 0xdb44ce46,
+    0x7461c3f5, 0xdb3a8491, 0x745a8a9d, 0xdb303c46,
+    0x74534f41, 0xdb25f566, 0x744c11e0, 0xdb1baff2,
+    0x7444d27b, 0xdb116beb, 0x743d9112, 0xdb072950,
+    0x74364da6, 0xdafce821, 0x742f0836, 0xdaf2a860,
+    0x7427c0c3, 0xdae86a0d, 0x7420774d, 0xdade2d28,
+    0x74192bd5, 0xdad3f1b1, 0x7411de5b, 0xdac9b7a9,
+    0x740a8edf, 0xdabf7f11, 0x74033d61, 0xdab547e8,
+    0x73fbe9e2, 0xdaab122f, 0x73f49462, 0xdaa0dde7,
+    0x73ed3ce1, 0xda96ab0f, 0x73e5e360, 0xda8c79a9,
+    0x73de87de, 0xda8249b4, 0x73d72a5d, 0xda781b31,
+    0x73cfcadc, 0xda6dee21, 0x73c8695b, 0xda63c284,
+    0x73c105db, 0xda599859, 0x73b9a05d, 0xda4f6fa3,
+    0x73b238e0, 0xda454860, 0x73aacf65, 0xda3b2292,
+    0x73a363ec, 0xda30fe38, 0x739bf675, 0xda26db54,
+    0x73948701, 0xda1cb9e5, 0x738d1590, 0xda1299ec,
+    0x7385a222, 0xda087b69, 0x737e2cb7, 0xd9fe5e5e,
+    0x7376b551, 0xd9f442c9, 0x736f3bee, 0xd9ea28ac,
+    0x7367c090, 0xd9e01006, 0x73604336, 0xd9d5f8d9,
+    0x7358c3e2, 0xd9cbe325, 0x73514292, 0xd9c1cee9,
+    0x7349bf48, 0xd9b7bc27, 0x73423a04, 0xd9adaadf,
+    0x733ab2c6, 0xd9a39b11, 0x7333298f, 0xd9998cbe,
+    0x732b9e5e, 0xd98f7fe6, 0x73241134, 0xd9857489,
+    0x731c8211, 0xd97b6aa8, 0x7314f0f6, 0xd9716243,
+    0x730d5de3, 0xd9675b5a, 0x7305c8d7, 0xd95d55ef,
+    0x72fe31d5, 0xd9535201, 0x72f698db, 0xd9494f90,
+    0x72eefdea, 0xd93f4e9e, 0x72e76102, 0xd9354f2a,
+    0x72dfc224, 0xd92b5135, 0x72d82150, 0xd92154bf,
+    0x72d07e85, 0xd91759c9, 0x72c8d9c6, 0xd90d6053,
+    0x72c13311, 0xd903685d, 0x72b98a67, 0xd8f971e8,
+    0x72b1dfc9, 0xd8ef7cf4, 0x72aa3336, 0xd8e58982,
+    0x72a284b0, 0xd8db9792, 0x729ad435, 0xd8d1a724,
+    0x729321c7, 0xd8c7b838, 0x728b6d66, 0xd8bdcad0,
+    0x7283b712, 0xd8b3deeb, 0x727bfecc, 0xd8a9f48a,
+    0x72744493, 0xd8a00bae, 0x726c8868, 0xd8962456,
+    0x7264ca4c, 0xd88c3e83, 0x725d0a3e, 0xd8825a35,
+    0x72554840, 0xd878776d, 0x724d8450, 0xd86e962b,
+    0x7245be70, 0xd864b670, 0x723df6a0, 0xd85ad83c,
+    0x72362ce0, 0xd850fb8e, 0x722e6130, 0xd8472069,
+    0x72269391, 0xd83d46cc, 0x721ec403, 0xd8336eb7,
+    0x7216f287, 0xd829982b, 0x720f1f1c, 0xd81fc328,
+    0x720749c3, 0xd815efae, 0x71ff727c, 0xd80c1dbf,
+    0x71f79948, 0xd8024d59, 0x71efbe27, 0xd7f87e7f,
+    0x71e7e118, 0xd7eeb130, 0x71e0021e, 0xd7e4e56c,
+    0x71d82137, 0xd7db1b34, 0x71d03e64, 0xd7d15288,
+    0x71c859a5, 0xd7c78b68, 0x71c072fb, 0xd7bdc5d6,
+    0x71b88a66, 0xd7b401d1, 0x71b09fe7, 0xd7aa3f5a,
+    0x71a8b37c, 0xd7a07e70, 0x71a0c528, 0xd796bf16,
+    0x7198d4ea, 0xd78d014a, 0x7190e2c3, 0xd783450d,
+    0x7188eeb2, 0xd7798a60, 0x7180f8b8, 0xd76fd143,
+    0x717900d6, 0xd76619b6, 0x7171070c, 0xd75c63ba,
+    0x71690b59, 0xd752af4f, 0x71610dbf, 0xd748fc75,
+    0x71590e3e, 0xd73f4b2e, 0x71510cd5, 0xd7359b78,
+    0x71490986, 0xd72bed55, 0x71410450, 0xd72240c5,
+    0x7138fd35, 0xd71895c9, 0x7130f433, 0xd70eec60,
+    0x7128e94c, 0xd705448b, 0x7120dc80, 0xd6fb9e4b,
+    0x7118cdcf, 0xd6f1f99f, 0x7110bd39, 0xd6e85689,
+    0x7108aabf, 0xd6deb508, 0x71009661, 0xd6d5151d,
+    0x70f8801f, 0xd6cb76c9, 0x70f067fb, 0xd6c1da0b,
+    0x70e84df3, 0xd6b83ee4, 0x70e03208, 0xd6aea555,
+    0x70d8143b, 0xd6a50d5d, 0x70cff48c, 0xd69b76fe,
+    0x70c7d2fb, 0xd691e237, 0x70bfaf89, 0xd6884f09,
+    0x70b78a36, 0xd67ebd74, 0x70af6302, 0xd6752d79,
+    0x70a739ed, 0xd66b9f18, 0x709f0ef8, 0xd6621251,
+    0x7096e223, 0xd6588725, 0x708eb36f, 0xd64efd94,
+    0x708682dc, 0xd645759f, 0x707e5069, 0xd63bef46,
+    0x70761c18, 0xd6326a88, 0x706de5e9, 0xd628e767,
+    0x7065addb, 0xd61f65e4, 0x705d73f0, 0xd615e5fd,
+    0x70553828, 0xd60c67b4, 0x704cfa83, 0xd602eb0a,
+    0x7044bb00, 0xd5f96ffd, 0x703c79a2, 0xd5eff690,
+    0x70343667, 0xd5e67ec1, 0x702bf151, 0xd5dd0892,
+    0x7023aa5f, 0xd5d39403, 0x701b6193, 0xd5ca2115,
+    0x701316eb, 0xd5c0afc6, 0x700aca69, 0xd5b74019,
+    0x70027c0c, 0xd5add20d, 0x6ffa2bd6, 0xd5a465a3,
+    0x6ff1d9c7, 0xd59afadb, 0x6fe985de, 0xd59191b5,
+    0x6fe1301c, 0xd5882a32, 0x6fd8d882, 0xd57ec452,
+    0x6fd07f0f, 0xd5756016, 0x6fc823c5, 0xd56bfd7d,
+    0x6fbfc6a3, 0xd5629c89, 0x6fb767aa, 0xd5593d3a,
+    0x6faf06da, 0xd54fdf8f, 0x6fa6a433, 0xd5468389,
+    0x6f9e3fb6, 0xd53d292a, 0x6f95d963, 0xd533d070,
+    0x6f8d713a, 0xd52a795d, 0x6f85073c, 0xd52123f0,
+    0x6f7c9b69, 0xd517d02b, 0x6f742dc1, 0xd50e7e0d,
+    0x6f6bbe45, 0xd5052d97, 0x6f634cf5, 0xd4fbdec9,
+    0x6f5ad9d1, 0xd4f291a4, 0x6f5264da, 0xd4e94627,
+    0x6f49ee0f, 0xd4dffc54, 0x6f417573, 0xd4d6b42b,
+    0x6f38fb03, 0xd4cd6dab, 0x6f307ec2, 0xd4c428d6,
+    0x6f2800af, 0xd4bae5ab, 0x6f1f80ca, 0xd4b1a42c,
+    0x6f16ff14, 0xd4a86458, 0x6f0e7b8e, 0xd49f2630,
+    0x6f05f637, 0xd495e9b3, 0x6efd6f10, 0xd48caee4,
+    0x6ef4e619, 0xd48375c1, 0x6eec5b53, 0xd47a3e4b,
+    0x6ee3cebe, 0xd4710883, 0x6edb405a, 0xd467d469,
+    0x6ed2b027, 0xd45ea1fd, 0x6eca1e27, 0xd4557140,
+    0x6ec18a58, 0xd44c4232, 0x6eb8f4bc, 0xd44314d3,
+    0x6eb05d53, 0xd439e923, 0x6ea7c41e, 0xd430bf24,
+    0x6e9f291b, 0xd42796d5, 0x6e968c4d, 0xd41e7037,
+    0x6e8dedb3, 0xd4154b4a, 0x6e854d4d, 0xd40c280e,
+    0x6e7cab1c, 0xd4030684, 0x6e740720, 0xd3f9e6ad,
+    0x6e6b615a, 0xd3f0c887, 0x6e62b9ca, 0xd3e7ac15,
+    0x6e5a1070, 0xd3de9156, 0x6e51654c, 0xd3d5784a,
+    0x6e48b860, 0xd3cc60f2, 0x6e4009aa, 0xd3c34b4f,
+    0x6e37592c, 0xd3ba3760, 0x6e2ea6e6, 0xd3b12526,
+    0x6e25f2d8, 0xd3a814a2, 0x6e1d3d03, 0xd39f05d3,
+    0x6e148566, 0xd395f8ba, 0x6e0bcc03, 0xd38ced57,
+    0x6e0310d9, 0xd383e3ab, 0x6dfa53e9, 0xd37adbb6,
+    0x6df19534, 0xd371d579, 0x6de8d4b8, 0xd368d0f3,
+    0x6de01278, 0xd35fce26, 0x6dd74e73, 0xd356cd11,
+    0x6dce88aa, 0xd34dcdb4, 0x6dc5c11c, 0xd344d011,
+    0x6dbcf7cb, 0xd33bd427, 0x6db42cb6, 0xd332d9f7,
+    0x6dab5fdf, 0xd329e181, 0x6da29144, 0xd320eac6,
+    0x6d99c0e7, 0xd317f5c6, 0x6d90eec8, 0xd30f0280,
+    0x6d881ae8, 0xd30610f7, 0x6d7f4545, 0xd2fd2129,
+    0x6d766de2, 0xd2f43318, 0x6d6d94bf, 0xd2eb46c3,
+    0x6d64b9da, 0xd2e25c2b, 0x6d5bdd36, 0xd2d97350,
+    0x6d52fed2, 0xd2d08c33, 0x6d4a1eaf, 0xd2c7a6d4,
+    0x6d413ccd, 0xd2bec333, 0x6d38592c, 0xd2b5e151,
+    0x6d2f73cd, 0xd2ad012e, 0x6d268cb0, 0xd2a422ca,
+    0x6d1da3d5, 0xd29b4626, 0x6d14b93d, 0xd2926b41,
+    0x6d0bcce8, 0xd289921e, 0x6d02ded7, 0xd280babb,
+    0x6cf9ef09, 0xd277e518, 0x6cf0fd80, 0xd26f1138,
+    0x6ce80a3a, 0xd2663f19, 0x6cdf153a, 0xd25d6ebc,
+    0x6cd61e7f, 0xd254a021, 0x6ccd2609, 0xd24bd34a,
+    0x6cc42bd9, 0xd2430835, 0x6cbb2fef, 0xd23a3ee4,
+    0x6cb2324c, 0xd2317756, 0x6ca932ef, 0xd228b18d,
+    0x6ca031da, 0xd21fed88, 0x6c972f0d, 0xd2172b48,
+    0x6c8e2a87, 0xd20e6acc, 0x6c85244a, 0xd205ac17,
+    0x6c7c1c55, 0xd1fcef27, 0x6c7312a9, 0xd1f433fd,
+    0x6c6a0746, 0xd1eb7a9a, 0x6c60fa2d, 0xd1e2c2fd,
+    0x6c57eb5e, 0xd1da0d28, 0x6c4edada, 0xd1d1591a,
+    0x6c45c8a0, 0xd1c8a6d4, 0x6c3cb4b1, 0xd1bff656,
+    0x6c339f0e, 0xd1b747a0, 0x6c2a87b6, 0xd1ae9ab4,
+    0x6c216eaa, 0xd1a5ef90, 0x6c1853eb, 0xd19d4636,
+    0x6c0f3779, 0xd1949ea6, 0x6c061953, 0xd18bf8e0,
+    0x6bfcf97c, 0xd18354e4, 0x6bf3d7f2, 0xd17ab2b3,
+    0x6beab4b6, 0xd172124d, 0x6be18fc9, 0xd16973b3,
+    0x6bd8692b, 0xd160d6e5, 0x6bcf40dc, 0xd1583be2,
+    0x6bc616dd, 0xd14fa2ad, 0x6bbceb2d, 0xd1470b44,
+    0x6bb3bdce, 0xd13e75a8, 0x6baa8ec0, 0xd135e1d9,
+    0x6ba15e03, 0xd12d4fd9, 0x6b982b97, 0xd124bfa6,
+    0x6b8ef77d, 0xd11c3142, 0x6b85c1b5, 0xd113a4ad,
+    0x6b7c8a3f, 0xd10b19e7, 0x6b73511c, 0xd10290f0,
+    0x6b6a164d, 0xd0fa09c9, 0x6b60d9d0, 0xd0f18472,
+    0x6b579ba8, 0xd0e900ec, 0x6b4e5bd4, 0xd0e07f36,
+    0x6b451a55, 0xd0d7ff51, 0x6b3bd72a, 0xd0cf813e,
+    0x6b329255, 0xd0c704fd, 0x6b294bd5, 0xd0be8a8d,
+    0x6b2003ac, 0xd0b611f1, 0x6b16b9d9, 0xd0ad9b26,
+    0x6b0d6e5c, 0xd0a5262f, 0x6b042137, 0xd09cb30b,
+    0x6afad269, 0xd09441bb, 0x6af181f3, 0xd08bd23f,
+    0x6ae82fd5, 0xd0836497, 0x6adedc10, 0xd07af8c4,
+    0x6ad586a3, 0xd0728ec6, 0x6acc2f90, 0xd06a269d,
+    0x6ac2d6d6, 0xd061c04a, 0x6ab97c77, 0xd0595bcd,
+    0x6ab02071, 0xd050f926, 0x6aa6c2c6, 0xd0489856,
+    0x6a9d6377, 0xd040395d, 0x6a940283, 0xd037dc3b,
+    0x6a8a9fea, 0xd02f80f1, 0x6a813bae, 0xd027277e,
+    0x6a77d5ce, 0xd01ecfe4, 0x6a6e6e4b, 0xd0167a22,
+    0x6a650525, 0xd00e2639, 0x6a5b9a5d, 0xd005d42a,
+    0x6a522df3, 0xcffd83f4, 0x6a48bfe7, 0xcff53597,
+    0x6a3f503a, 0xcfece915, 0x6a35deeb, 0xcfe49e6d,
+    0x6a2c6bfd, 0xcfdc55a1, 0x6a22f76e, 0xcfd40eaf,
+    0x6a19813f, 0xcfcbc999, 0x6a100970, 0xcfc3865e,
+    0x6a069003, 0xcfbb4500, 0x69fd14f6, 0xcfb3057d,
+    0x69f3984c, 0xcfaac7d8, 0x69ea1a03, 0xcfa28c10,
+    0x69e09a1c, 0xcf9a5225, 0x69d71899, 0xcf921a17,
+    0x69cd9578, 0xcf89e3e8, 0x69c410ba, 0xcf81af97,
+    0x69ba8a61, 0xcf797d24, 0x69b1026c, 0xcf714c91,
+    0x69a778db, 0xcf691ddd, 0x699dedaf, 0xcf60f108,
+    0x699460e8, 0xcf58c613, 0x698ad287, 0xcf509cfe,
+    0x6981428c, 0xcf4875ca, 0x6977b0f7, 0xcf405077,
+    0x696e1dc9, 0xcf382d05, 0x69648902, 0xcf300b74,
+    0x695af2a3, 0xcf27ebc5, 0x69515aab, 0xcf1fcdf8,
+    0x6947c11c, 0xcf17b20d, 0x693e25f5, 0xcf0f9805,
+    0x69348937, 0xcf077fe1, 0x692aeae3, 0xceff699f,
+    0x69214af8, 0xcef75541, 0x6917a977, 0xceef42c7,
+    0x690e0661, 0xcee73231, 0x690461b5, 0xcedf2380,
+    0x68fabb75, 0xced716b4, 0x68f113a0, 0xcecf0bcd,
+    0x68e76a37, 0xcec702cb, 0x68ddbf3b, 0xcebefbb0,
+    0x68d412ab, 0xceb6f67a, 0x68ca6488, 0xceaef32b,
+    0x68c0b4d2, 0xcea6f1c2, 0x68b7038b, 0xce9ef241,
+    0x68ad50b1, 0xce96f4a7, 0x68a39c46, 0xce8ef8f4,
+    0x6899e64a, 0xce86ff2a, 0x68902ebd, 0xce7f0748,
+    0x688675a0, 0xce77114e, 0x687cbaf3, 0xce6f1d3d,
+    0x6872feb6, 0xce672b16, 0x686940ea, 0xce5f3ad8,
+    0x685f8190, 0xce574c84, 0x6855c0a6, 0xce4f6019,
+    0x684bfe2f, 0xce47759a, 0x68423a2a, 0xce3f8d05,
+    0x68387498, 0xce37a65b, 0x682ead78, 0xce2fc19c,
+    0x6824e4cc, 0xce27dec9, 0x681b1a94, 0xce1ffde2,
+    0x68114ed0, 0xce181ee8, 0x68078181, 0xce1041d9,
+    0x67fdb2a7, 0xce0866b8, 0x67f3e241, 0xce008d84,
+    0x67ea1052, 0xcdf8b63d, 0x67e03cd8, 0xcdf0e0e4,
+    0x67d667d5, 0xcde90d79, 0x67cc9149, 0xcde13bfd,
+    0x67c2b934, 0xcdd96c6f, 0x67b8df97, 0xcdd19ed0,
+    0x67af0472, 0xcdc9d320, 0x67a527c4, 0xcdc20960,
+    0x679b4990, 0xcdba4190, 0x679169d5, 0xcdb27bb0,
+    0x67878893, 0xcdaab7c0, 0x677da5cb, 0xcda2f5c2,
+    0x6773c17d, 0xcd9b35b4, 0x6769dbaa, 0xcd937798,
+    0x675ff452, 0xcd8bbb6d, 0x67560b76, 0xcd840134,
+    0x674c2115, 0xcd7c48ee, 0x67423530, 0xcd74929a,
+    0x673847c8, 0xcd6cde39, 0x672e58dc, 0xcd652bcb,
+    0x6724686e, 0xcd5d7b50, 0x671a767e, 0xcd55ccca,
+    0x6710830c, 0xcd4e2037, 0x67068e18, 0xcd467599,
+    0x66fc97a3, 0xcd3eccef, 0x66f29fad, 0xcd37263a,
+    0x66e8a637, 0xcd2f817b, 0x66deab41, 0xcd27deb0,
+    0x66d4aecb, 0xcd203ddc, 0x66cab0d6, 0xcd189efe,
+    0x66c0b162, 0xcd110216, 0x66b6b070, 0xcd096725,
+    0x66acadff, 0xcd01ce2b, 0x66a2aa11, 0xccfa3729,
+    0x6698a4a6, 0xccf2a21d, 0x668e9dbd, 0xcceb0f0a,
+    0x66849558, 0xcce37def, 0x667a8b77, 0xccdbeecc,
+    0x6670801a, 0xccd461a2, 0x66667342, 0xccccd671,
+    0x665c64ef, 0xccc54d3a, 0x66525521, 0xccbdc5fc,
+    0x664843d9, 0xccb640b8, 0x663e3117, 0xccaebd6e,
+    0x66341cdb, 0xcca73c1e, 0x662a0727, 0xcc9fbcca,
+    0x661feffa, 0xcc983f70, 0x6615d754, 0xcc90c412,
+    0x660bbd37, 0xcc894aaf, 0x6601a1a2, 0xcc81d349,
+    0x65f78497, 0xcc7a5dde, 0x65ed6614, 0xcc72ea70,
+    0x65e3461b, 0xcc6b78ff, 0x65d924ac, 0xcc64098b,
+    0x65cf01c8, 0xcc5c9c14, 0x65c4dd6e, 0xcc55309b,
+    0x65bab7a0, 0xcc4dc720, 0x65b0905d, 0xcc465fa3,
+    0x65a667a7, 0xcc3efa25, 0x659c3d7c, 0xcc3796a5,
+    0x659211df, 0xcc303524, 0x6587e4cf, 0xcc28d5a3,
+    0x657db64c, 0xcc217822, 0x65738657, 0xcc1a1ca0,
+    0x656954f1, 0xcc12c31f, 0x655f2219, 0xcc0b6b9e,
+    0x6554edd1, 0xcc04161e, 0x654ab818, 0xcbfcc29f,
+    0x654080ef, 0xcbf57121, 0x65364857, 0xcbee21a5,
+    0x652c0e4f, 0xcbe6d42b, 0x6521d2d8, 0xcbdf88b3,
+    0x651795f3, 0xcbd83f3d, 0x650d57a0, 0xcbd0f7ca,
+    0x650317df, 0xcbc9b25a, 0x64f8d6b0, 0xcbc26eee,
+    0x64ee9415, 0xcbbb2d85, 0x64e4500e, 0xcbb3ee20,
+    0x64da0a9a, 0xcbacb0bf, 0x64cfc3ba, 0xcba57563,
+    0x64c57b6f, 0xcb9e3c0b, 0x64bb31ba, 0xcb9704b9,
+    0x64b0e699, 0xcb8fcf6b, 0x64a69a0f, 0xcb889c23,
+    0x649c4c1b, 0xcb816ae1, 0x6491fcbe, 0xcb7a3ba5,
+    0x6487abf7, 0xcb730e70, 0x647d59c8, 0xcb6be341,
+    0x64730631, 0xcb64ba19, 0x6468b132, 0xcb5d92f8,
+    0x645e5acc, 0xcb566ddf, 0x645402ff, 0xcb4f4acd,
+    0x6449a9cc, 0xcb4829c4, 0x643f4f32, 0xcb410ac3,
+    0x6434f332, 0xcb39edca, 0x642a95ce, 0xcb32d2da,
+    0x64203704, 0xcb2bb9f4, 0x6415d6d5, 0xcb24a316,
+    0x640b7543, 0xcb1d8e43, 0x6401124d, 0xcb167b79,
+    0x63f6adf3, 0xcb0f6aba, 0x63ec4837, 0xcb085c05,
+    0x63e1e117, 0xcb014f5b, 0x63d77896, 0xcafa44bc,
+    0x63cd0eb3, 0xcaf33c28, 0x63c2a36f, 0xcaec35a0,
+    0x63b836ca, 0xcae53123, 0x63adc8c4, 0xcade2eb3,
+    0x63a3595e, 0xcad72e4f, 0x6398e898, 0xcad02ff8,
+    0x638e7673, 0xcac933ae, 0x638402ef, 0xcac23971,
+    0x63798e0d, 0xcabb4141, 0x636f17cc, 0xcab44b1f,
+    0x6364a02e, 0xcaad570c, 0x635a2733, 0xcaa66506,
+    0x634facda, 0xca9f750f, 0x63453125, 0xca988727,
+    0x633ab414, 0xca919b4e, 0x633035a7, 0xca8ab184,
+    0x6325b5df, 0xca83c9ca, 0x631b34bc, 0xca7ce420,
+    0x6310b23e, 0xca760086, 0x63062e67, 0xca6f1efc,
+    0x62fba936, 0xca683f83, 0x62f122ab, 0xca61621b,
+    0x62e69ac8, 0xca5a86c4, 0x62dc118c, 0xca53ad7e,
+    0x62d186f8, 0xca4cd64b, 0x62c6fb0c, 0xca460129,
+    0x62bc6dca, 0xca3f2e19, 0x62b1df30, 0xca385d1d,
+    0x62a74f40, 0xca318e32, 0x629cbdfa, 0xca2ac15b,
+    0x62922b5e, 0xca23f698, 0x6287976e, 0xca1d2de7,
+    0x627d0228, 0xca16674b, 0x62726b8e, 0xca0fa2c3,
+    0x6267d3a0, 0xca08e04f, 0x625d3a5e, 0xca021fef,
+    0x62529fca, 0xc9fb61a5, 0x624803e2, 0xc9f4a570,
+    0x623d66a8, 0xc9edeb50, 0x6232c81c, 0xc9e73346,
+    0x6228283f, 0xc9e07d51, 0x621d8711, 0xc9d9c973,
+    0x6212e492, 0xc9d317ab, 0x620840c2, 0xc9cc67fa,
+    0x61fd9ba3, 0xc9c5ba60, 0x61f2f534, 0xc9bf0edd,
+    0x61e84d76, 0xc9b86572, 0x61dda46a, 0xc9b1be1e,
+    0x61d2fa0f, 0xc9ab18e3, 0x61c84e67, 0xc9a475bf,
+    0x61bda171, 0xc99dd4b4, 0x61b2f32e, 0xc99735c2,
+    0x61a8439e, 0xc99098e9, 0x619d92c2, 0xc989fe29,
+    0x6192e09b, 0xc9836582, 0x61882d28, 0xc97ccef5,
+    0x617d786a, 0xc9763a83, 0x6172c262, 0xc96fa82a,
+    0x61680b0f, 0xc96917ec, 0x615d5273, 0xc96289c9,
+    0x6152988d, 0xc95bfdc1, 0x6147dd5f, 0xc95573d4,
+    0x613d20e8, 0xc94eec03, 0x61326329, 0xc948664d,
+    0x6127a423, 0xc941e2b4, 0x611ce3d5, 0xc93b6137,
+    0x61122240, 0xc934e1d6, 0x61075f65, 0xc92e6492,
+    0x60fc9b44, 0xc927e96b, 0x60f1d5de, 0xc9217062,
+    0x60e70f32, 0xc91af976, 0x60dc4742, 0xc91484a8,
+    0x60d17e0d, 0xc90e11f7, 0x60c6b395, 0xc907a166,
+    0x60bbe7d8, 0xc90132f2, 0x60b11ad9, 0xc8fac69e,
+    0x60a64c97, 0xc8f45c68, 0x609b7d13, 0xc8edf452,
+    0x6090ac4d, 0xc8e78e5b, 0x6085da46, 0xc8e12a84,
+    0x607b06fe, 0xc8dac8cd, 0x60703275, 0xc8d46936,
+    0x60655cac, 0xc8ce0bc0, 0x605a85a3, 0xc8c7b06b,
+    0x604fad5b, 0xc8c15736, 0x6044d3d4, 0xc8bb0023,
+    0x6039f90f, 0xc8b4ab32, 0x602f1d0b, 0xc8ae5862,
+    0x60243fca, 0xc8a807b4, 0x6019614c, 0xc8a1b928,
+    0x600e8190, 0xc89b6cbf, 0x6003a099, 0xc8952278,
+    0x5ff8be65, 0xc88eda54, 0x5feddaf6, 0xc8889454,
+    0x5fe2f64c, 0xc8825077, 0x5fd81067, 0xc87c0ebd,
+    0x5fcd2948, 0xc875cf28, 0x5fc240ef, 0xc86f91b7,
+    0x5fb7575c, 0xc869566a, 0x5fac6c91, 0xc8631d42,
+    0x5fa1808c, 0xc85ce63e, 0x5f969350, 0xc856b160,
+    0x5f8ba4dc, 0xc8507ea7, 0x5f80b531, 0xc84a4e14,
+    0x5f75c44e, 0xc8441fa6, 0x5f6ad235, 0xc83df35f,
+    0x5f5fdee6, 0xc837c93e, 0x5f54ea62, 0xc831a143,
+    0x5f49f4a8, 0xc82b7b70, 0x5f3efdb9, 0xc82557c3,
+    0x5f340596, 0xc81f363d, 0x5f290c3f, 0xc81916df,
+    0x5f1e11b5, 0xc812f9a9, 0x5f1315f7, 0xc80cde9b,
+    0x5f081907, 0xc806c5b5, 0x5efd1ae4, 0xc800aef7,
+    0x5ef21b90, 0xc7fa9a62, 0x5ee71b0a, 0xc7f487f6,
+    0x5edc1953, 0xc7ee77b3, 0x5ed1166b, 0xc7e8699a,
+    0x5ec61254, 0xc7e25daa, 0x5ebb0d0d, 0xc7dc53e3,
+    0x5eb00696, 0xc7d64c47, 0x5ea4fef0, 0xc7d046d6,
+    0x5e99f61d, 0xc7ca438f, 0x5e8eec1b, 0xc7c44272,
+    0x5e83e0eb, 0xc7be4381, 0x5e78d48e, 0xc7b846ba,
+    0x5e6dc705, 0xc7b24c20, 0x5e62b84f, 0xc7ac53b1,
+    0x5e57a86d, 0xc7a65d6e, 0x5e4c9760, 0xc7a06957,
+    0x5e418528, 0xc79a776c, 0x5e3671c5, 0xc79487ae,
+    0x5e2b5d38, 0xc78e9a1d, 0x5e204781, 0xc788aeb9,
+    0x5e1530a1, 0xc782c582, 0x5e0a1898, 0xc77cde79,
+    0x5dfeff67, 0xc776f99d, 0x5df3e50d, 0xc77116f0,
+    0x5de8c98c, 0xc76b3671, 0x5dddace4, 0xc7655820,
+    0x5dd28f15, 0xc75f7bfe, 0x5dc7701f, 0xc759a20a,
+    0x5dbc5004, 0xc753ca46, 0x5db12ec3, 0xc74df4b1,
+    0x5da60c5d, 0xc748214c, 0x5d9ae8d2, 0xc7425016,
+    0x5d8fc424, 0xc73c8111, 0x5d849e51, 0xc736b43c,
+    0x5d79775c, 0xc730e997, 0x5d6e4f43, 0xc72b2123,
+    0x5d632608, 0xc7255ae0, 0x5d57fbaa, 0xc71f96ce,
+    0x5d4cd02c, 0xc719d4ed, 0x5d41a38c, 0xc714153e,
+    0x5d3675cb, 0xc70e57c0, 0x5d2b46ea, 0xc7089c75,
+    0x5d2016e9, 0xc702e35c, 0x5d14e5c9, 0xc6fd2c75,
+    0x5d09b389, 0xc6f777c1, 0x5cfe802b, 0xc6f1c540,
+    0x5cf34baf, 0xc6ec14f2, 0x5ce81615, 0xc6e666d7,
+    0x5cdcdf5e, 0xc6e0baf0, 0x5cd1a78a, 0xc6db113d,
+    0x5cc66e99, 0xc6d569be, 0x5cbb348d, 0xc6cfc472,
+    0x5caff965, 0xc6ca215c, 0x5ca4bd21, 0xc6c4807a,
+    0x5c997fc4, 0xc6bee1cd, 0x5c8e414b, 0xc6b94554,
+    0x5c8301b9, 0xc6b3ab12, 0x5c77c10e, 0xc6ae1304,
+    0x5c6c7f4a, 0xc6a87d2d, 0x5c613c6d, 0xc6a2e98b,
+    0x5c55f878, 0xc69d5820, 0x5c4ab36b, 0xc697c8eb,
+    0x5c3f6d47, 0xc6923bec, 0x5c34260c, 0xc68cb124,
+    0x5c28ddbb, 0xc6872894, 0x5c1d9454, 0xc681a23a,
+    0x5c1249d8, 0xc67c1e18, 0x5c06fe46, 0xc6769c2e,
+    0x5bfbb1a0, 0xc6711c7b, 0x5bf063e6, 0xc66b9f01,
+    0x5be51518, 0xc66623be, 0x5bd9c537, 0xc660aab5,
+    0x5bce7442, 0xc65b33e4, 0x5bc3223c, 0xc655bf4c,
+    0x5bb7cf23, 0xc6504ced, 0x5bac7af9, 0xc64adcc7,
+    0x5ba125bd, 0xc6456edb, 0x5b95cf71, 0xc6400329,
+    0x5b8a7815, 0xc63a99b1, 0x5b7f1fa9, 0xc6353273,
+    0x5b73c62d, 0xc62fcd6f, 0x5b686ba3, 0xc62a6aa6,
+    0x5b5d100a, 0xc6250a18, 0x5b51b363, 0xc61fabc4,
+    0x5b4655ae, 0xc61a4fac, 0x5b3af6ec, 0xc614f5cf,
+    0x5b2f971e, 0xc60f9e2e, 0x5b243643, 0xc60a48c9,
+    0x5b18d45c, 0xc604f5a0, 0x5b0d716a, 0xc5ffa4b3,
+    0x5b020d6c, 0xc5fa5603, 0x5af6a865, 0xc5f5098f,
+    0x5aeb4253, 0xc5efbf58, 0x5adfdb37, 0xc5ea775e,
+    0x5ad47312, 0xc5e531a1, 0x5ac909e5, 0xc5dfee22,
+    0x5abd9faf, 0xc5daace1, 0x5ab23471, 0xc5d56ddd,
+    0x5aa6c82b, 0xc5d03118, 0x5a9b5adf, 0xc5caf690,
+    0x5a8fec8c, 0xc5c5be47, 0x5a847d33, 0xc5c0883d,
+    0x5a790cd4, 0xc5bb5472, 0x5a6d9b70, 0xc5b622e6,
+    0x5a622907, 0xc5b0f399, 0x5a56b599, 0xc5abc68c,
+    0x5a4b4128, 0xc5a69bbe, 0x5a3fcbb3, 0xc5a17330,
+    0x5a34553b, 0xc59c4ce3, 0x5a28ddc0, 0xc59728d5,
+    0x5a1d6544, 0xc5920708, 0x5a11ebc5, 0xc58ce77c,
+    0x5a067145, 0xc587ca31, 0x59faf5c5, 0xc582af26,
+    0x59ef7944, 0xc57d965d, 0x59e3fbc3, 0xc5787fd6,
+    0x59d87d42, 0xc5736b90, 0x59ccfdc2, 0xc56e598c,
+    0x59c17d44, 0xc56949ca, 0x59b5fbc8, 0xc5643c4a,
+    0x59aa794d, 0xc55f310d, 0x599ef5d6, 0xc55a2812,
+    0x59937161, 0xc555215a, 0x5987ebf0, 0xc5501ce5,
+    0x597c6584, 0xc54b1ab4, 0x5970de1b, 0xc5461ac6,
+    0x596555b8, 0xc5411d1b, 0x5959cc5a, 0xc53c21b4,
+    0x594e4201, 0xc5372891, 0x5942b6af, 0xc53231b3,
+    0x59372a64, 0xc52d3d18, 0x592b9d1f, 0xc5284ac3,
+    0x59200ee3, 0xc5235ab2, 0x59147fae, 0xc51e6ce6,
+    0x5908ef82, 0xc519815f, 0x58fd5e5f, 0xc514981d,
+    0x58f1cc45, 0xc50fb121, 0x58e63935, 0xc50acc6b,
+    0x58daa52f, 0xc505e9fb, 0x58cf1034, 0xc50109d0,
+    0x58c37a44, 0xc4fc2bec, 0x58b7e35f, 0xc4f7504e,
+    0x58ac4b87, 0xc4f276f7, 0x58a0b2bb, 0xc4ed9fe7,
+    0x589518fc, 0xc4e8cb1e, 0x58897e4a, 0xc4e3f89c,
+    0x587de2a7, 0xc4df2862, 0x58724611, 0xc4da5a6f,
+    0x5866a88a, 0xc4d58ec3, 0x585b0a13, 0xc4d0c560,
+    0x584f6aab, 0xc4cbfe45, 0x5843ca53, 0xc4c73972,
+    0x5838290c, 0xc4c276e8, 0x582c86d5, 0xc4bdb6a6,
+    0x5820e3b0, 0xc4b8f8ad, 0x58153f9d, 0xc4b43cfd,
+    0x58099a9c, 0xc4af8397, 0x57fdf4ae, 0xc4aacc7a,
+    0x57f24dd3, 0xc4a617a6, 0x57e6a60c, 0xc4a1651c,
+    0x57dafd59, 0xc49cb4dd, 0x57cf53bb, 0xc49806e7,
+    0x57c3a931, 0xc4935b3c, 0x57b7fdbd, 0xc48eb1db,
+    0x57ac515f, 0xc48a0ac4, 0x57a0a417, 0xc48565f9,
+    0x5794f5e6, 0xc480c379, 0x578946cc, 0xc47c2344,
+    0x577d96ca, 0xc477855a, 0x5771e5e0, 0xc472e9bc,
+    0x5766340f, 0xc46e5069, 0x575a8157, 0xc469b963,
+    0x574ecdb8, 0xc46524a9, 0x57431933, 0xc460923b,
+    0x573763c9, 0xc45c0219, 0x572bad7a, 0xc4577444,
+    0x571ff646, 0xc452e8bc, 0x57143e2d, 0xc44e5f80,
+    0x57088531, 0xc449d892, 0x56fccb51, 0xc44553f2,
+    0x56f1108f, 0xc440d19e, 0x56e554ea, 0xc43c5199,
+    0x56d99864, 0xc437d3e1, 0x56cddafb, 0xc4335877,
+    0x56c21cb2, 0xc42edf5c, 0x56b65d88, 0xc42a688f,
+    0x56aa9d7e, 0xc425f410, 0x569edc94, 0xc42181e0,
+    0x56931acb, 0xc41d11ff, 0x56875823, 0xc418a46d,
+    0x567b949d, 0xc414392b, 0x566fd039, 0xc40fd037,
+    0x56640af7, 0xc40b6994, 0x565844d8, 0xc4070540,
+    0x564c7ddd, 0xc402a33c, 0x5640b606, 0xc3fe4388,
+    0x5634ed53, 0xc3f9e624, 0x562923c5, 0xc3f58b10,
+    0x561d595d, 0xc3f1324e, 0x56118e1a, 0xc3ecdbdc,
+    0x5605c1fd, 0xc3e887bb, 0x55f9f507, 0xc3e435ea,
+    0x55ee2738, 0xc3dfe66c, 0x55e25890, 0xc3db993e,
+    0x55d68911, 0xc3d74e62, 0x55cab8ba, 0xc3d305d8,
+    0x55bee78c, 0xc3cebfa0, 0x55b31587, 0xc3ca7bba,
+    0x55a742ac, 0xc3c63a26, 0x559b6efb, 0xc3c1fae5,
+    0x558f9a76, 0xc3bdbdf6, 0x5583c51b, 0xc3b9835a,
+    0x5577eeec, 0xc3b54b11, 0x556c17e9, 0xc3b1151b,
+    0x55604013, 0xc3ace178, 0x5554676a, 0xc3a8b028,
+    0x55488dee, 0xc3a4812c, 0x553cb3a0, 0xc3a05484,
+    0x5530d881, 0xc39c2a2f, 0x5524fc90, 0xc398022f,
+    0x55191fcf, 0xc393dc82, 0x550d423d, 0xc38fb92a,
+    0x550163dc, 0xc38b9827, 0x54f584ac, 0xc3877978,
+    0x54e9a4ac, 0xc3835d1e, 0x54ddc3de, 0xc37f4319,
+    0x54d1e242, 0xc37b2b6a, 0x54c5ffd9, 0xc377160f,
+    0x54ba1ca3, 0xc373030a, 0x54ae38a0, 0xc36ef25b,
+    0x54a253d1, 0xc36ae401, 0x54966e36, 0xc366d7fd,
+    0x548a87d1, 0xc362ce50, 0x547ea0a0, 0xc35ec6f8,
+    0x5472b8a5, 0xc35ac1f7, 0x5466cfe1, 0xc356bf4d,
+    0x545ae653, 0xc352bef9, 0x544efbfc, 0xc34ec0fc,
+    0x544310dd, 0xc34ac556, 0x543724f5, 0xc346cc07,
+    0x542b3846, 0xc342d510, 0x541f4ad1, 0xc33ee070,
+    0x54135c94, 0xc33aee27, 0x54076d91, 0xc336fe37,
+    0x53fb7dc9, 0xc333109e, 0x53ef8d3c, 0xc32f255e,
+    0x53e39be9, 0xc32b3c75, 0x53d7a9d3, 0xc32755e5,
+    0x53cbb6f8, 0xc32371ae, 0x53bfc35b, 0xc31f8fcf,
+    0x53b3cefa, 0xc31bb049, 0x53a7d9d7, 0xc317d31c,
+    0x539be3f2, 0xc313f848, 0x538fed4b, 0xc3101fce,
+    0x5383f5e3, 0xc30c49ad, 0x5377fdbb, 0xc30875e5,
+    0x536c04d2, 0xc304a477, 0x53600b2a, 0xc300d563,
+    0x535410c3, 0xc2fd08a9, 0x5348159d, 0xc2f93e4a,
+    0x533c19b8, 0xc2f57644, 0x53301d16, 0xc2f1b099,
+    0x53241fb6, 0xc2eded49, 0x5318219a, 0xc2ea2c53,
+    0x530c22c1, 0xc2e66db8, 0x5300232c, 0xc2e2b178,
+    0x52f422db, 0xc2def794, 0x52e821cf, 0xc2db400a,
+    0x52dc2009, 0xc2d78add, 0x52d01d89, 0xc2d3d80a,
+    0x52c41a4f, 0xc2d02794, 0x52b8165b, 0xc2cc7979,
+    0x52ac11af, 0xc2c8cdbb, 0x52a00c4b, 0xc2c52459,
+    0x5294062f, 0xc2c17d52, 0x5287ff5b, 0xc2bdd8a9,
+    0x527bf7d1, 0xc2ba365c, 0x526fef90, 0xc2b6966c,
+    0x5263e699, 0xc2b2f8d8, 0x5257dced, 0xc2af5da2,
+    0x524bd28c, 0xc2abc4c9, 0x523fc776, 0xc2a82e4d,
+    0x5233bbac, 0xc2a49a2e, 0x5227af2e, 0xc2a1086d,
+    0x521ba1fd, 0xc29d790a, 0x520f941a, 0xc299ec05,
+    0x52038584, 0xc296615d, 0x51f7763c, 0xc292d914,
+    0x51eb6643, 0xc28f5329, 0x51df5599, 0xc28bcf9c,
+    0x51d3443f, 0xc2884e6e, 0x51c73235, 0xc284cf9f,
+    0x51bb1f7c, 0xc281532e, 0x51af0c13, 0xc27dd91c,
+    0x51a2f7fc, 0xc27a616a, 0x5196e337, 0xc276ec16,
+    0x518acdc4, 0xc2737922, 0x517eb7a4, 0xc270088e,
+    0x5172a0d7, 0xc26c9a58, 0x5166895f, 0xc2692e83,
+    0x515a713a, 0xc265c50e, 0x514e586a, 0xc2625df8,
+    0x51423ef0, 0xc25ef943, 0x513624cb, 0xc25b96ee,
+    0x512a09fc, 0xc25836f9, 0x511dee84, 0xc254d965,
+    0x5111d263, 0xc2517e31, 0x5105b599, 0xc24e255e,
+    0x50f99827, 0xc24aceed, 0x50ed7a0e, 0xc2477adc,
+    0x50e15b4e, 0xc244292c, 0x50d53be7, 0xc240d9de,
+    0x50c91bda, 0xc23d8cf1, 0x50bcfb28, 0xc23a4265,
+    0x50b0d9d0, 0xc236fa3b, 0x50a4b7d3, 0xc233b473,
+    0x50989532, 0xc230710d, 0x508c71ee, 0xc22d3009,
+    0x50804e06, 0xc229f167, 0x5074297b, 0xc226b528,
+    0x5068044e, 0xc2237b4b, 0x505bde7f, 0xc22043d0,
+    0x504fb80e, 0xc21d0eb8, 0x504390fd, 0xc219dc03,
+    0x5037694b, 0xc216abb1, 0x502b40f8, 0xc2137dc2,
+    0x501f1807, 0xc2105236, 0x5012ee76, 0xc20d290d,
+    0x5006c446, 0xc20a0248, 0x4ffa9979, 0xc206dde6,
+    0x4fee6e0d, 0xc203bbe8, 0x4fe24205, 0xc2009c4e,
+    0x4fd6155f, 0xc1fd7f17, 0x4fc9e81e, 0xc1fa6445,
+    0x4fbdba40, 0xc1f74bd6, 0x4fb18bc8, 0xc1f435cc,
+    0x4fa55cb4, 0xc1f12227, 0x4f992d06, 0xc1ee10e5,
+    0x4f8cfcbe, 0xc1eb0209, 0x4f80cbdc, 0xc1e7f591,
+    0x4f749a61, 0xc1e4eb7e, 0x4f68684e, 0xc1e1e3d0,
+    0x4f5c35a3, 0xc1dede87, 0x4f500260, 0xc1dbdba3,
+    0x4f43ce86, 0xc1d8db25, 0x4f379a16, 0xc1d5dd0c,
+    0x4f2b650f, 0xc1d2e158, 0x4f1f2f73, 0xc1cfe80a,
+    0x4f12f941, 0xc1ccf122, 0x4f06c27a, 0xc1c9fca0,
+    0x4efa8b20, 0xc1c70a84, 0x4eee5331, 0xc1c41ace,
+    0x4ee21aaf, 0xc1c12d7e, 0x4ed5e19a, 0xc1be4294,
+    0x4ec9a7f3, 0xc1bb5a11, 0x4ebd6db9, 0xc1b873f5,
+    0x4eb132ef, 0xc1b5903f, 0x4ea4f793, 0xc1b2aef0,
+    0x4e98bba7, 0xc1afd007, 0x4e8c7f2a, 0xc1acf386,
+    0x4e80421e, 0xc1aa196c, 0x4e740483, 0xc1a741b9,
+    0x4e67c65a, 0xc1a46c6e, 0x4e5b87a2, 0xc1a1998a,
+    0x4e4f485c, 0xc19ec90d, 0x4e430889, 0xc19bfaf9,
+    0x4e36c82a, 0xc1992f4c, 0x4e2a873e, 0xc1966606,
+    0x4e1e45c6, 0xc1939f29, 0x4e1203c3, 0xc190dab4,
+    0x4e05c135, 0xc18e18a7, 0x4df97e1d, 0xc18b5903,
+    0x4ded3a7b, 0xc1889bc6, 0x4de0f64f, 0xc185e0f3,
+    0x4dd4b19a, 0xc1832888, 0x4dc86c5d, 0xc1807285,
+    0x4dbc2698, 0xc17dbeec, 0x4dafe04b, 0xc17b0dbb,
+    0x4da39978, 0xc1785ef4, 0x4d97521d, 0xc175b296,
+    0x4d8b0a3d, 0xc17308a1, 0x4d7ec1d6, 0xc1706115,
+    0x4d7278eb, 0xc16dbbf3, 0x4d662f7b, 0xc16b193a,
+    0x4d59e586, 0xc16878eb, 0x4d4d9b0e, 0xc165db05,
+    0x4d415013, 0xc1633f8a, 0x4d350495, 0xc160a678,
+    0x4d28b894, 0xc15e0fd1, 0x4d1c6c11, 0xc15b7b94,
+    0x4d101f0e, 0xc158e9c1, 0x4d03d189, 0xc1565a58,
+    0x4cf78383, 0xc153cd5a, 0x4ceb34fe, 0xc15142c6,
+    0x4cdee5f9, 0xc14eba9d, 0x4cd29676, 0xc14c34df,
+    0x4cc64673, 0xc149b18b, 0x4cb9f5f3, 0xc14730a3,
+    0x4cada4f5, 0xc144b225, 0x4ca1537a, 0xc1423613,
+    0x4c950182, 0xc13fbc6c, 0x4c88af0e, 0xc13d4530,
+    0x4c7c5c1e, 0xc13ad060, 0x4c7008b3, 0xc1385dfb,
+    0x4c63b4ce, 0xc135ee02, 0x4c57606e, 0xc1338075,
+    0x4c4b0b94, 0xc1311553, 0x4c3eb641, 0xc12eac9d,
+    0x4c326075, 0xc12c4653, 0x4c260a31, 0xc129e276,
+    0x4c19b374, 0xc1278104, 0x4c0d5c41, 0xc12521ff,
+    0x4c010496, 0xc122c566, 0x4bf4ac75, 0xc1206b39,
+    0x4be853de, 0xc11e1379, 0x4bdbfad1, 0xc11bbe26,
+    0x4bcfa150, 0xc1196b3f, 0x4bc34759, 0xc1171ac6,
+    0x4bb6ecef, 0xc114ccb9, 0x4baa9211, 0xc1128119,
+    0x4b9e36c0, 0xc11037e6, 0x4b91dafc, 0xc10df120,
+    0x4b857ec7, 0xc10bacc8, 0x4b79221f, 0xc1096add,
+    0x4b6cc506, 0xc1072b5f, 0x4b60677c, 0xc104ee4f,
+    0x4b540982, 0xc102b3ac, 0x4b47ab19, 0xc1007b77,
+    0x4b3b4c40, 0xc0fe45b0, 0x4b2eecf8, 0xc0fc1257,
+    0x4b228d42, 0xc0f9e16b, 0x4b162d1d, 0xc0f7b2ee,
+    0x4b09cc8c, 0xc0f586df, 0x4afd6b8d, 0xc0f35d3e,
+    0x4af10a22, 0xc0f1360b, 0x4ae4a84b, 0xc0ef1147,
+    0x4ad84609, 0xc0eceef1, 0x4acbe35b, 0xc0eacf09,
+    0x4abf8043, 0xc0e8b190, 0x4ab31cc1, 0xc0e69686,
+    0x4aa6b8d5, 0xc0e47deb, 0x4a9a5480, 0xc0e267be,
+    0x4a8defc3, 0xc0e05401, 0x4a818a9d, 0xc0de42b2,
+    0x4a752510, 0xc0dc33d2, 0x4a68bf1b, 0xc0da2762,
+    0x4a5c58c0, 0xc0d81d61, 0x4a4ff1fe, 0xc0d615cf,
+    0x4a438ad7, 0xc0d410ad, 0x4a37234a, 0xc0d20dfa,
+    0x4a2abb59, 0xc0d00db6, 0x4a1e5303, 0xc0ce0fe3,
+    0x4a11ea49, 0xc0cc147f, 0x4a05812c, 0xc0ca1b8a,
+    0x49f917ac, 0xc0c82506, 0x49ecadc9, 0xc0c630f2,
+    0x49e04385, 0xc0c43f4d, 0x49d3d8df, 0xc0c25019,
+    0x49c76dd8, 0xc0c06355, 0x49bb0271, 0xc0be7901,
+    0x49ae96aa, 0xc0bc911d, 0x49a22a83, 0xc0baabaa,
+    0x4995bdfd, 0xc0b8c8a7, 0x49895118, 0xc0b6e815,
+    0x497ce3d5, 0xc0b509f3, 0x49707635, 0xc0b32e42,
+    0x49640837, 0xc0b15502, 0x495799dd, 0xc0af7e33,
+    0x494b2b27, 0xc0ada9d4, 0x493ebc14, 0xc0abd7e6,
+    0x49324ca7, 0xc0aa086a, 0x4925dcdf, 0xc0a83b5e,
+    0x49196cbc, 0xc0a670c4, 0x490cfc40, 0xc0a4a89b,
+    0x49008b6a, 0xc0a2e2e3, 0x48f41a3c, 0xc0a11f9d,
+    0x48e7a8b5, 0xc09f5ec8, 0x48db36d6, 0xc09da065,
+    0x48cec4a0, 0xc09be473, 0x48c25213, 0xc09a2af3,
+    0x48b5df30, 0xc09873e4, 0x48a96bf6, 0xc096bf48,
+    0x489cf867, 0xc0950d1d, 0x48908483, 0xc0935d64,
+    0x4884104b, 0xc091b01d, 0x48779bbe, 0xc0900548,
+    0x486b26de, 0xc08e5ce5, 0x485eb1ab, 0xc08cb6f5,
+    0x48523c25, 0xc08b1376, 0x4845c64d, 0xc089726a,
+    0x48395024, 0xc087d3d0, 0x482cd9a9, 0xc08637a9,
+    0x482062de, 0xc0849df4, 0x4813ebc2, 0xc08306b2,
+    0x48077457, 0xc08171e2, 0x47fafc9c, 0xc07fdf85,
+    0x47ee8493, 0xc07e4f9b, 0x47e20c3b, 0xc07cc223,
+    0x47d59396, 0xc07b371e, 0x47c91aa3, 0xc079ae8c,
+    0x47bca163, 0xc078286e, 0x47b027d7, 0xc076a4c2,
+    0x47a3adff, 0xc0752389, 0x479733dc, 0xc073a4c3,
+    0x478ab96e, 0xc0722871, 0x477e3eb5, 0xc070ae92,
+    0x4771c3b3, 0xc06f3726, 0x47654867, 0xc06dc22e,
+    0x4758ccd2, 0xc06c4fa8, 0x474c50f4, 0xc06adf97,
+    0x473fd4cf, 0xc06971f9, 0x47335862, 0xc06806ce,
+    0x4726dbae, 0xc0669e18, 0x471a5eb3, 0xc06537d4,
+    0x470de172, 0xc063d405, 0x470163eb, 0xc06272aa,
+    0x46f4e620, 0xc06113c2, 0x46e86810, 0xc05fb74e,
+    0x46dbe9bb, 0xc05e5d4e, 0x46cf6b23, 0xc05d05c3,
+    0x46c2ec48, 0xc05bb0ab, 0x46b66d29, 0xc05a5e07,
+    0x46a9edc9, 0xc0590dd8, 0x469d6e27, 0xc057c01d,
+    0x4690ee44, 0xc05674d6, 0x46846e1f, 0xc0552c03,
+    0x4677edbb, 0xc053e5a5, 0x466b6d16, 0xc052a1bb,
+    0x465eec33, 0xc0516045, 0x46526b10, 0xc0502145,
+    0x4645e9af, 0xc04ee4b8, 0x46396810, 0xc04daaa1,
+    0x462ce634, 0xc04c72fe, 0x4620641a, 0xc04b3dcf,
+    0x4613e1c5, 0xc04a0b16, 0x46075f33, 0xc048dad1,
+    0x45fadc66, 0xc047ad01, 0x45ee595d, 0xc04681a6,
+    0x45e1d61b, 0xc04558c0, 0x45d5529e, 0xc044324f,
+    0x45c8cee7, 0xc0430e53, 0x45bc4af8, 0xc041eccc,
+    0x45afc6d0, 0xc040cdba, 0x45a3426f, 0xc03fb11d,
+    0x4596bdd7, 0xc03e96f6, 0x458a3908, 0xc03d7f44,
+    0x457db403, 0xc03c6a07, 0x45712ec7, 0xc03b573f,
+    0x4564a955, 0xc03a46ed, 0x455823ae, 0xc0393910,
+    0x454b9dd3, 0xc0382da8, 0x453f17c3, 0xc03724b6,
+    0x4532917f, 0xc0361e3a, 0x45260b08, 0xc0351a33,
+    0x4519845e, 0xc03418a2, 0x450cfd82, 0xc0331986,
+    0x45007674, 0xc0321ce0, 0x44f3ef35, 0xc03122b0,
+    0x44e767c5, 0xc0302af5, 0x44dae024, 0xc02f35b1,
+    0x44ce5854, 0xc02e42e2, 0x44c1d054, 0xc02d5289,
+    0x44b54825, 0xc02c64a6, 0x44a8bfc7, 0xc02b7939,
+    0x449c373c, 0xc02a9042, 0x448fae83, 0xc029a9c1,
+    0x4483259d, 0xc028c5b6, 0x44769c8b, 0xc027e421,
+    0x446a134c, 0xc0270502, 0x445d89e2, 0xc0262859,
+    0x4451004d, 0xc0254e27, 0x4444768d, 0xc024766a,
+    0x4437eca4, 0xc023a124, 0x442b6290, 0xc022ce54,
+    0x441ed854, 0xc021fdfb, 0x44124dee, 0xc0213018,
+    0x4405c361, 0xc02064ab, 0x43f938ac, 0xc01f9bb5,
+    0x43ecadcf, 0xc01ed535, 0x43e022cc, 0xc01e112b,
+    0x43d397a3, 0xc01d4f99, 0x43c70c54, 0xc01c907c,
+    0x43ba80df, 0xc01bd3d6, 0x43adf546, 0xc01b19a7,
+    0x43a16988, 0xc01a61ee, 0x4394dda7, 0xc019acac,
+    0x438851a2, 0xc018f9e1, 0x437bc57b, 0xc018498c,
+    0x436f3931, 0xc0179bae, 0x4362acc5, 0xc016f047,
+    0x43562038, 0xc0164757, 0x43499389, 0xc015a0dd,
+    0x433d06bb, 0xc014fcda, 0x433079cc, 0xc0145b4e,
+    0x4323ecbe, 0xc013bc39, 0x43175f91, 0xc0131f9b,
+    0x430ad245, 0xc0128574, 0x42fe44dc, 0xc011edc3,
+    0x42f1b755, 0xc011588a, 0x42e529b0, 0xc010c5c7,
+    0x42d89bf0, 0xc010357c, 0x42cc0e13, 0xc00fa7a8,
+    0x42bf801a, 0xc00f1c4a, 0x42b2f207, 0xc00e9364,
+    0x42a663d8, 0xc00e0cf5, 0x4299d590, 0xc00d88fd,
+    0x428d472e, 0xc00d077c, 0x4280b8b3, 0xc00c8872,
+    0x42742a1f, 0xc00c0be0, 0x42679b73, 0xc00b91c4,
+    0x425b0caf, 0xc00b1a20, 0x424e7dd4, 0xc00aa4f3,
+    0x4241eee2, 0xc00a323d, 0x42355fd9, 0xc009c1ff,
+    0x4228d0bb, 0xc0095438, 0x421c4188, 0xc008e8e8,
+    0x420fb240, 0xc008800f, 0x420322e3, 0xc00819ae,
+    0x41f69373, 0xc007b5c4, 0x41ea03ef, 0xc0075452,
+    0x41dd7459, 0xc006f556, 0x41d0e4b0, 0xc00698d3,
+    0x41c454f5, 0xc0063ec6, 0x41b7c528, 0xc005e731,
+    0x41ab354b, 0xc0059214, 0x419ea55d, 0xc0053f6e,
+    0x4192155f, 0xc004ef3f, 0x41858552, 0xc004a188,
+    0x4178f536, 0xc0045648, 0x416c650b, 0xc0040d80,
+    0x415fd4d2, 0xc003c72f, 0x4153448c, 0xc0038356,
+    0x4146b438, 0xc00341f4, 0x413a23d8, 0xc003030a,
+    0x412d936c, 0xc002c697, 0x412102f4, 0xc0028c9c,
+    0x41147271, 0xc0025519, 0x4107e1e3, 0xc002200d,
+    0x40fb514b, 0xc001ed78, 0x40eec0aa, 0xc001bd5c,
+    0x40e22fff, 0xc0018fb6, 0x40d59f4c, 0xc0016489,
+    0x40c90e90, 0xc0013bd3, 0x40bc7dcc, 0xc0011594,
+    0x40afed02, 0xc000f1ce, 0x40a35c30, 0xc000d07e,
+    0x4096cb58, 0xc000b1a7, 0x408a3a7b, 0xc0009547,
+    0x407da998, 0xc0007b5f, 0x407118b0, 0xc00063ee,
+    0x406487c4, 0xc0004ef5, 0x4057f6d4, 0xc0003c74,
+    0x404b65e1, 0xc0002c6a, 0x403ed4ea, 0xc0001ed8,
+    0x403243f1, 0xc00013bd, 0x4025b2f7, 0xc0000b1a,
+    0x401921fb, 0xc00004ef, 0x400c90fe, 0xc000013c,
 };
 
 /**    
 * @brief  Initialization function for the Q31 RFFT/RIFFT.   
 * @param[in, out] *S             points to an instance of the Q31 RFFT/RIFFT structure.   
-* @param[in, out] *S_CFFT        points to an instance of the Q31 CFFT/CIFFT structure.   
 * @param[in]      fftLenReal     length of the FFT.   
 * @param[in]      ifftFlagR      flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform.   
 * @param[in]      bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.   
@@ -4195,85 +4196,90 @@
 *    
 * \par Description:   
 * \par   
-* The parameter <code>fftLenReal</code>	Specifies length of RFFT/RIFFT Process. Supported FFT Lengths are 128, 512, 2048.    
+* The parameter <code>fftLenReal</code>	Specifies length of RFFT/RIFFT Process. Supported FFT Lengths are 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192.    
 * \par    
 * The parameter <code>ifftFlagR</code> controls whether a forward or inverse transform is computed.    
 * Set(=1) ifftFlagR to calculate RIFFT, otherwise RFFT is calculated.    
 * \par    
 * The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order.    
 * Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.   
-* \par    
+* \par    7
 * This function also initializes Twiddle factor table.    
 */
 
 arm_status arm_rfft_init_q31(
-  arm_rfft_instance_q31 * S,
-  arm_cfft_radix4_instance_q31 * S_CFFT,
-  uint32_t fftLenReal,
-  uint32_t ifftFlagR,
-  uint32_t bitReverseFlag)
+    arm_rfft_instance_q31 * S,
+    uint32_t fftLenReal,
+    uint32_t ifftFlagR,
+    uint32_t bitReverseFlag)
 {
-  /*  Initialise the default arm status */
-  arm_status status = ARM_MATH_SUCCESS;
+    /*  Initialise the default arm status */
+    arm_status status = ARM_MATH_SUCCESS;
 
-  /*  Initialize the Real FFT length */
-  S->fftLenReal = (uint16_t) fftLenReal;
+    /*  Initialize the Real FFT length */
+    S->fftLenReal = (uint16_t) fftLenReal;
 
-  /*  Initialize the Complex FFT length */
-  S->fftLenBy2 = (uint16_t) fftLenReal / 2u;
+    /*  Initialize the Twiddle coefficientA pointer */
+    S->pTwiddleAReal = (q31_t *) realCoefAQ31;
 
-  /*  Initialize the Twiddle coefficientA pointer */
-  S->pTwiddleAReal = (q31_t *) realCoefAQ31;
+    /*  Initialize the Twiddle coefficientB pointer */
+    S->pTwiddleBReal = (q31_t *) realCoefBQ31;
 
-  /*  Initialize the Twiddle coefficientB pointer */
-  S->pTwiddleBReal = (q31_t *) realCoefBQ31;
+    /*  Initialize the Flag for selection of RFFT or RIFFT */
+    S->ifftFlagR = (uint8_t) ifftFlagR;
 
-  /*  Initialize the Flag for selection of RFFT or RIFFT */
-  S->ifftFlagR = (uint8_t) ifftFlagR;
-
-  /*  Initialize the Flag for calculation Bit reversal or not */
-  S->bitReverseFlagR = (uint8_t) bitReverseFlag;
+    /*  Initialize the Flag for calculation Bit reversal or not */
+    S->bitReverseFlagR = (uint8_t) bitReverseFlag;
 
-  /*  Initialization of coef modifier depending on the FFT length */
-  switch (S->fftLenReal)
-  {
-  case 8192:
-    S->twidCoefRModifier = 1u;
-    break;
-  case 2048u:
-    S->twidCoefRModifier = 4u;
-    break;
-  case 512u:
-    S->twidCoefRModifier = 16u;
-    break;
-  case 128u:
-    S->twidCoefRModifier = 64u;
-    break;
-  default:
-    /*  Reporting argument error if rfftSize is not valid value */
-    status = ARM_MATH_ARGUMENT_ERROR;
-    break;
-  }
+    /*  Initialization of coef modifier depending on the FFT length */
+    switch (S->fftLenReal)
+    {
+    case 8192u:
+        S->twidCoefRModifier = 1u;
+        S->pCfft = &arm_cfft_sR_q31_len4096;
+        break;
+    case 4096u:
+        S->twidCoefRModifier = 2u;
+        S->pCfft = &arm_cfft_sR_q31_len2048;
+        break;
+    case 2048u:
+        S->twidCoefRModifier = 4u;
+        S->pCfft = &arm_cfft_sR_q31_len1024;
+        break;
+    case 1024u:
+        S->twidCoefRModifier = 8u;
+        S->pCfft = &arm_cfft_sR_q31_len512;
+        break;
+    case 512u:
+        S->twidCoefRModifier = 16u;
+        S->pCfft = &arm_cfft_sR_q31_len256;
+        break;
+    case 256u:
+        S->twidCoefRModifier = 32u;
+        S->pCfft = &arm_cfft_sR_q31_len128;
+        break;
+    case 128u:
+        S->twidCoefRModifier = 64u;
+        S->pCfft = &arm_cfft_sR_q31_len64;
+        break;
+    case 64u:
+        S->twidCoefRModifier = 128u;
+        S->pCfft = &arm_cfft_sR_q31_len32;
+        break;
+    case 32u:
+        S->twidCoefRModifier = 256u;
+        S->pCfft = &arm_cfft_sR_q31_len16;
+        break;
+    default:
+        /*  Reporting argument error if rfftSize is not valid value */
+        status = ARM_MATH_ARGUMENT_ERROR;
+        break;
+    }
 
-  /* Init Complex FFT Instance */
-  S->pCfft = S_CFFT;
-
-  if(S->ifftFlagR)
-  {
-    /* Initializes the CIFFT Module for fftLenreal/2 length */
-    arm_cfft_radix4_init_q31(S->pCfft, (uint16_t) S->fftLenBy2, 1u, 1u);
-  }
-  else
-  {
-    /* Initializes the CFFT Module for fftLenreal/2 length */
-    arm_cfft_radix4_init_q31(S->pCfft, (uint16_t) S->fftLenBy2, 0u, 1u);
-  }
-
-  /* return the status of RFFT Init function */
-  return (status);
-
+    /* return the status of RFFT Init function */
+    return (status);
 }
 
-  /**    
-   * @} end of RealFFT group    
-   */
+/**    
+* @} end of RealFFT group    
+*/

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/TransformFunctions/arm_rfft_q15.c
--- a/cmsis_dsp/TransformFunctions/arm_rfft_q15.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/TransformFunctions/arm_rfft_q15.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013  
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_rfft_q15.c    
@@ -41,442 +41,399 @@
 
 #include "arm_math.h"
 
-void arm_radix4_butterfly_q15(
-  q15_t * pSrc16,
-  uint32_t fftLen,
-  q15_t * pCoef16,
-  uint32_t twidCoefModifier);
-
-void arm_radix4_butterfly_inverse_q15(
-  q15_t * pSrc16,
-  uint32_t fftLen,
-  q15_t * pCoef16,
-  uint32_t twidCoefModifier);
-
-void arm_bitreversal_q15(
-  q15_t * pSrc,
-  uint32_t fftLen,
-  uint16_t bitRevFactor,
-  uint16_t * pBitRevTab);
-	
-	/*--------------------------------------------------------------------    
+/*--------------------------------------------------------------------    
 *		Internal functions prototypes    
 --------------------------------------------------------------------*/
 
 void arm_split_rfft_q15(
-  q15_t * pSrc,
-  uint32_t fftLen,
-  q15_t * pATable,
-  q15_t * pBTable,
-  q15_t * pDst,
-  uint32_t modifier);
+    q15_t * pSrc,
+    uint32_t fftLen,
+    q15_t * pATable,
+    q15_t * pBTable,
+    q15_t * pDst,
+    uint32_t modifier);
 
 void arm_split_rifft_q15(
-  q15_t * pSrc,
-  uint32_t fftLen,
-  q15_t * pATable,
-  q15_t * pBTable,
-  q15_t * pDst,
-  uint32_t modifier);
+    q15_t * pSrc,
+    uint32_t fftLen,
+    q15_t * pATable,
+    q15_t * pBTable,
+    q15_t * pDst,
+    uint32_t modifier);
 
 /**    
- * @addtogroup RealFFT    
- * @{    
- */
+* @addtogroup RealFFT    
+* @{    
+*/
 
 /**    
- * @brief Processing function for the Q15 RFFT/RIFFT.   
- * @param[in]  *S    points to an instance of the Q15 RFFT/RIFFT structure.   
- * @param[in]  *pSrc points to the input buffer.   
- * @param[out] *pDst points to the output buffer.   
- * @return none.   
- *    
- * \par Input an output formats:   
- * \par    
- * Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process.    
- * Hence the output format is different for different RFFT sizes.    
- * The input and output formats for different RFFT sizes and number of bits to upscale are mentioned in the tables below for RFFT and RIFFT:   
- * \par    
- * \image html RFFTQ15.gif "Input and Output Formats for Q15 RFFT"    
- * \par    
- * \image html RIFFTQ15.gif "Input and Output Formats for Q15 RIFFT"    
- */
+* @brief Processing function for the Q15 RFFT/RIFFT.   
+* @param[in]  *S    points to an instance of the Q15 RFFT/RIFFT structure.   
+* @param[in]  *pSrc points to the input buffer.   
+* @param[out] *pDst points to the output buffer.   
+* @return none.   
+*    
+* \par Input an output formats:   
+* \par    
+* Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process.    
+* Hence the output format is different for different RFFT sizes.    
+* The input and output formats for different RFFT sizes and number of bits to upscale are mentioned in the tables below for RFFT and RIFFT:   
+* \par    
+* \image html RFFTQ15.gif "Input and Output Formats for Q15 RFFT"    
+* \par    
+* \image html RIFFTQ15.gif "Input and Output Formats for Q15 RIFFT"    
+*/
 
 void arm_rfft_q15(
-  const arm_rfft_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst)
+    const arm_rfft_instance_q15 * S,
+    q15_t * pSrc,
+    q15_t * pDst)
 {
-  const arm_cfft_radix4_instance_q15 *S_CFFT = S->pCfft;
+    const arm_cfft_instance_q15 *S_CFFT = S->pCfft;
+    uint32_t i;
+    uint32_t L2 = S->fftLenReal >> 1;
 
-  /* Calculation of RIFFT of input */
-  if(S->ifftFlagR == 1u)
-  {
-    /*  Real IFFT core process */
-    arm_split_rifft_q15(pSrc, S->fftLenBy2, S->pTwiddleAReal,
-                        S->pTwiddleBReal, pDst, S->twidCoefRModifier);
-
-    /* Complex readix-4 IFFT process */
-    arm_radix4_butterfly_inverse_q15(pDst, S_CFFT->fftLen,
-                                     S_CFFT->pTwiddle,
-                                     S_CFFT->twidCoefModifier);
-
-    /* Bit reversal process */
-    if(S->bitReverseFlagR == 1u)
+    /* Calculation of RIFFT of input */
+    if(S->ifftFlagR == 1u)
     {
-      arm_bitreversal_q15(pDst, S_CFFT->fftLen,
-                          S_CFFT->bitRevFactor, S_CFFT->pBitRevTable);
+        /*  Real IFFT core process */
+        arm_split_rifft_q15(pSrc, L2, S->pTwiddleAReal,
+                            S->pTwiddleBReal, pDst, S->twidCoefRModifier);
+        
+        /* Complex IFFT process */
+        arm_cfft_q15(S_CFFT, pDst, S->ifftFlagR, S->bitReverseFlagR);
+        
+        for(i=0;i<S->fftLenReal;i++)
+        {
+            pDst[i] = pDst[i] << 1;
+        }
     }
-  }
-  else
-  {
-    /* Calculation of RFFT of input */
-
-    /* Complex readix-4 FFT process */
-    arm_radix4_butterfly_q15(pSrc, S_CFFT->fftLen,
-                             S_CFFT->pTwiddle, S_CFFT->twidCoefModifier);
+    else
+    {
+        /* Calculation of RFFT of input */
+        
+        /* Complex FFT process */
+        arm_cfft_q15(S_CFFT, pSrc, S->ifftFlagR, S->bitReverseFlagR);
 
-    /* Bit reversal process */
-    if(S->bitReverseFlagR == 1u)
-    {
-      arm_bitreversal_q15(pSrc, S_CFFT->fftLen,
-                          S_CFFT->bitRevFactor, S_CFFT->pBitRevTable);
+        /*  Real FFT core process */
+        arm_split_rfft_q15(pSrc, L2, S->pTwiddleAReal,
+                            S->pTwiddleBReal, pDst, S->twidCoefRModifier);
     }
-
-    arm_split_rfft_q15(pSrc, S->fftLenBy2, S->pTwiddleAReal,
-                       S->pTwiddleBReal, pDst, S->twidCoefRModifier);
-  }
-
 }
 
-  /**    
-   * @} end of RealFFT group    
-   */
+/**    
+* @} end of RealFFT group    
+*/
 
 /**    
- * @brief  Core Real FFT process    
- * @param  *pSrc 				points to the input buffer.   
- * @param  fftLen  				length of FFT.   
- * @param  *pATable 			points to the A twiddle Coef buffer.    
- * @param  *pBTable 			points to the B twiddle Coef buffer.   
- * @param  *pDst 				points to the output buffer.   
- * @param  modifier 	        twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
- * @return none.    
- * The function implements a Real FFT    
- */
+* @brief  Core Real FFT process    
+* @param  *pSrc 				points to the input buffer.   
+* @param  fftLen  				length of FFT.   
+* @param  *pATable 			points to the A twiddle Coef buffer.    
+* @param  *pBTable 			points to the B twiddle Coef buffer.   
+* @param  *pDst 				points to the output buffer.   
+* @param  modifier 	        twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
+* @return none.    
+* The function implements a Real FFT    
+*/
 
 void arm_split_rfft_q15(
-  q15_t * pSrc,
-  uint32_t fftLen,
-  q15_t * pATable,
-  q15_t * pBTable,
-  q15_t * pDst,
-  uint32_t modifier)
+    q15_t * pSrc,
+    uint32_t fftLen,
+    q15_t * pATable,
+    q15_t * pBTable,
+    q15_t * pDst,
+    uint32_t modifier)
 {
-  uint32_t i;                                    /* Loop Counter */
-  q31_t outR, outI;                              /* Temporary variables for output */
-  q15_t *pCoefA, *pCoefB;                        /* Temporary pointers for twiddle factors */
-  q15_t *pSrc1, *pSrc2;
-
+    uint32_t i;                                    /* Loop Counter */
+    q31_t outR, outI;                              /* Temporary variables for output */
+    q15_t *pCoefA, *pCoefB;                        /* Temporary pointers for twiddle factors */
+    q15_t *pSrc1, *pSrc2;
+#ifndef ARM_MATH_CM0_FAMILY
+    q15_t *pD1, *pD2;
+#endif
 
-//  pSrc[2u * fftLen] = pSrc[0]; 
-//  pSrc[(2u * fftLen) + 1u] = pSrc[1]; 
+    //  pSrc[2u * fftLen] = pSrc[0]; 
+    //  pSrc[(2u * fftLen) + 1u] = pSrc[1]; 
 
-  pCoefA = &pATable[modifier * 2u];
-  pCoefB = &pBTable[modifier * 2u];
+    pCoefA = &pATable[modifier * 2u];
+    pCoefB = &pBTable[modifier * 2u];
 
-  pSrc1 = &pSrc[2];
-  pSrc2 = &pSrc[(2u * fftLen) - 2u];
+    pSrc1 = &pSrc[2];
+    pSrc2 = &pSrc[(2u * fftLen) - 2u];
 
 #ifndef ARM_MATH_CM0_FAMILY
 
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  i = 1u;
+    /* Run the below code for Cortex-M4 and Cortex-M3 */
+    i = 1u;
+    pD1 = pDst + 2;
+    pD2 = pDst + (4u * fftLen) - 2;
 
-  while(i < fftLen)
-  {
-    /*    
-       outR = (pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1]    
-       + pSrc[2 * n - 2 * i] * pBTable[2 * i] +    
-       pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);    
-     */
+    for(i = fftLen - 1; i > 0; i--)
+    {
+        /*    
+        outR = (pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1]    
+        + pSrc[2 * n - 2 * i] * pBTable[2 * i] +    
+        pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);    
+        */
 
-    /* outI = (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] +    
-       pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -    
-       pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); */
+        /* outI = (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] +    
+        pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -    
+        pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); */
 
 
 #ifndef ARM_MATH_BIG_ENDIAN
 
-    /* pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1] */
-    outR = __SMUSD(*__SIMD32(pSrc1), *__SIMD32(pCoefA));
+        /* pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1] */
+        outR = __SMUSD(*__SIMD32(pSrc1), *__SIMD32(pCoefA));
 
 #else
 
-    /* -(pSrc[2 * i + 1] * pATable[2 * i + 1] - pSrc[2 * i] * pATable[2 * i]) */
-    outR = -(__SMUSD(*__SIMD32(pSrc1), *__SIMD32(pCoefA)));
+        /* -(pSrc[2 * i + 1] * pATable[2 * i + 1] - pSrc[2 * i] * pATable[2 * i]) */
+        outR = -(__SMUSD(*__SIMD32(pSrc1), *__SIMD32(pCoefA)));
 
 #endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
 
-    /* pSrc[2 * n - 2 * i] * pBTable[2 * i] +    
-       pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]) */
-    outR = __SMLAD(*__SIMD32(pSrc2), *__SIMD32(pCoefB), outR) >> 15u;
+        /* pSrc[2 * n - 2 * i] * pBTable[2 * i] +    
+        pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]) */
+        outR = __SMLAD(*__SIMD32(pSrc2), *__SIMD32(pCoefB), outR) >> 16u;
 
-    /* pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -    
-       pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */
+        /* pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -    
+        pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */
 
 #ifndef ARM_MATH_BIG_ENDIAN
 
-    outI = __SMUSDX(*__SIMD32(pSrc2)--, *__SIMD32(pCoefB));
+        outI = __SMUSDX(*__SIMD32(pSrc2)--, *__SIMD32(pCoefB));
 
 #else
 
-    outI = __SMUSDX(*__SIMD32(pCoefB), *__SIMD32(pSrc2)--);
+        outI = __SMUSDX(*__SIMD32(pCoefB), *__SIMD32(pSrc2)--);
 
 #endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
 
-    /* (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] */
-    outI = __SMLADX(*__SIMD32(pSrc1)++, *__SIMD32(pCoefA), outI);
+        /* (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] */
+        outI = __SMLADX(*__SIMD32(pSrc1)++, *__SIMD32(pCoefA), outI);
 
-    /* write output */
-    pDst[2u * i] = (q15_t) outR;
-    pDst[(2u * i) + 1u] = outI >> 15u;
-
-    /* write complex conjugate output */
-    pDst[(4u * fftLen) - (2u * i)] = (q15_t) outR;
-    pDst[((4u * fftLen) - (2u * i)) + 1u] = -(outI >> 15u);
+        /* write output */
+        *pD1++ = (q15_t) outR;
+        *pD1++ = outI >> 16u;
 
-    /* update coefficient pointer */
-    pCoefB = pCoefB + (2u * modifier);
-    pCoefA = pCoefA + (2u * modifier);
-
-    i++;
+        /* write complex conjugate output */
+        pD2[0] = (q15_t) outR;
+        pD2[1] = -(outI >> 16u);
+        pD2 -= 2;
 
-  }
+        /* update coefficient pointer */
+        pCoefB = pCoefB + (2u * modifier);
+        pCoefA = pCoefA + (2u * modifier);
+    }
 
-  pDst[2u * fftLen] = pSrc[0] - pSrc[1];
-  pDst[(2u * fftLen) + 1u] = 0;
+    pDst[2u * fftLen] = (pSrc[0] - pSrc[1]) >> 1;
+    pDst[(2u * fftLen) + 1u] = 0;
 
-  pDst[0] = pSrc[0] + pSrc[1];
-  pDst[1] = 0;
-
+    pDst[0] = (pSrc[0] + pSrc[1]) >> 1;
+    pDst[1] = 0;
 
 #else
 
-  /* Run the below code for Cortex-M0 */
-
-  i = 1u;
+    /* Run the below code for Cortex-M0 */
+    i = 1u;
 
-  while(i < fftLen)
-  {
-    /*    
-       outR = (pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1]    
-       + pSrc[2 * n - 2 * i] * pBTable[2 * i] +    
-       pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);    
-     */
+    while(i < fftLen)
+    {
+        /*    
+        outR = (pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1]    
+        + pSrc[2 * n - 2 * i] * pBTable[2 * i] +    
+        pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);    
+        */
 
-    outR = *pSrc1 * *pCoefA;
-    outR = outR - (*(pSrc1 + 1) * *(pCoefA + 1));
-    outR = outR + (*pSrc2 * *pCoefB);
-    outR = (outR + (*(pSrc2 + 1) * *(pCoefB + 1))) >> 15;
+        outR = *pSrc1 * *pCoefA;
+        outR = outR - (*(pSrc1 + 1) * *(pCoefA + 1));
+        outR = outR + (*pSrc2 * *pCoefB);
+        outR = (outR + (*(pSrc2 + 1) * *(pCoefB + 1))) >> 16;
 
 
-    /* outI = (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] +    
-       pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -    
-       pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);   
-     */
+        /* outI = (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] +    
+        pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -    
+        pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);   
+        */
 
-    outI = *pSrc2 * *(pCoefB + 1);
-    outI = outI - (*(pSrc2 + 1) * *pCoefB);
-    outI = outI + (*(pSrc1 + 1) * *pCoefA);
-    outI = outI + (*pSrc1 * *(pCoefA + 1));
+        outI = *pSrc2 * *(pCoefB + 1);
+        outI = outI - (*(pSrc2 + 1) * *pCoefB);
+        outI = outI + (*(pSrc1 + 1) * *pCoefA);
+        outI = outI + (*pSrc1 * *(pCoefA + 1));
 
-    /* update input pointers */
-    pSrc1 += 2u;
-    pSrc2 -= 2u;
-
-    /* write output */
-    pDst[2u * i] = (q15_t) outR;
-    pDst[(2u * i) + 1u] = outI >> 15u;
+        /* update input pointers */
+        pSrc1 += 2u;
+        pSrc2 -= 2u;
 
-    /* write complex conjugate output */
-    pDst[(4u * fftLen) - (2u * i)] = (q15_t) outR;
-    pDst[((4u * fftLen) - (2u * i)) + 1u] = -(outI >> 15u);
+        /* write output */
+        pDst[2u * i] = (q15_t) outR;
+        pDst[(2u * i) + 1u] = outI >> 16u;
 
-    /* update coefficient pointer */
-    pCoefB = pCoefB + (2u * modifier);
-    pCoefA = pCoefA + (2u * modifier);
+        /* write complex conjugate output */
+        pDst[(4u * fftLen) - (2u * i)] = (q15_t) outR;
+        pDst[((4u * fftLen) - (2u * i)) + 1u] = -(outI >> 16u);
 
-    i++;
-
-  }
+        /* update coefficient pointer */
+        pCoefB = pCoefB + (2u * modifier);
+        pCoefA = pCoefA + (2u * modifier);
 
-  pDst[2u * fftLen] = pSrc[0] - pSrc[1];
-  pDst[(2u * fftLen) + 1u] = 0;
+        i++;
+    }
 
-  pDst[0] = pSrc[0] + pSrc[1];
-  pDst[1] = 0;
+    pDst[2u * fftLen] = (pSrc[0] - pSrc[1]) >> 1;
+    pDst[(2u * fftLen) + 1u] = 0;
+
+    pDst[0] = (pSrc[0] + pSrc[1]) >> 1;
+    pDst[1] = 0;
 
 #endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
 }
 
 
 /**    
- * @brief  Core Real IFFT process    
- * @param[in]   *pSrc 				points to the input buffer.    
- * @param[in]   fftLen  		    length of FFT.   
- * @param[in]   *pATable 			points to the twiddle Coef A buffer.   
- * @param[in]   *pBTable 			points to the twiddle Coef B buffer.    
- * @param[out]  *pDst 				points to the output buffer.   
- * @param[in]   modifier 	        twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
- * @return none.    
- * The function implements a Real IFFT    
- */
+* @brief  Core Real IFFT process    
+* @param[in]   *pSrc 				points to the input buffer.    
+* @param[in]   fftLen  		    length of FFT.   
+* @param[in]   *pATable 			points to the twiddle Coef A buffer.   
+* @param[in]   *pBTable 			points to the twiddle Coef B buffer.    
+* @param[out]  *pDst 				points to the output buffer.   
+* @param[in]   modifier 	        twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
+* @return none.    
+* The function implements a Real IFFT    
+*/
 void arm_split_rifft_q15(
-  q15_t * pSrc,
-  uint32_t fftLen,
-  q15_t * pATable,
-  q15_t * pBTable,
-  q15_t * pDst,
-  uint32_t modifier)
+    q15_t * pSrc,
+    uint32_t fftLen,
+    q15_t * pATable,
+    q15_t * pBTable,
+    q15_t * pDst,
+    uint32_t modifier)
 {
-  uint32_t i;                                    /* Loop Counter */
-  q31_t outR, outI;                              /* Temporary variables for output */
-  q15_t *pCoefA, *pCoefB;                        /* Temporary pointers for twiddle factors */
-  q15_t *pSrc1, *pSrc2;
-  q15_t *pDst1 = &pDst[0];
+    uint32_t i;                                    /* Loop Counter */
+    q31_t outR, outI;                              /* Temporary variables for output */
+    q15_t *pCoefA, *pCoefB;                        /* Temporary pointers for twiddle factors */
+    q15_t *pSrc1, *pSrc2;
+    q15_t *pDst1 = &pDst[0];
 
-  pCoefA = &pATable[0];
-  pCoefB = &pBTable[0];
+    pCoefA = &pATable[0];
+    pCoefB = &pBTable[0];
 
-  pSrc1 = &pSrc[0];
-  pSrc2 = &pSrc[2u * fftLen];
+    pSrc1 = &pSrc[0];
+    pSrc2 = &pSrc[2u * fftLen];
 
 #ifndef ARM_MATH_CM0_FAMILY
 
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  i = fftLen;
-
-  while(i > 0u)
-  {
+    /* Run the below code for Cortex-M4 and Cortex-M3 */
+    i = fftLen;
 
-    /*    
-       outR = (pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] +    
-       pIn[2 * n - 2 * i] * pBTable[2 * i] -    
-       pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);    
+    while(i > 0u)
+    {
+        /*    
+        outR = (pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] +    
+        pIn[2 * n - 2 * i] * pBTable[2 * i] -    
+        pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);    
 
-       outI = (pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] -    
-       pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -    
-       pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);    
-
-     */
+        outI = (pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] -    
+        pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -    
+        pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);    
+        */
 
 
 #ifndef ARM_MATH_BIG_ENDIAN
 
-    /* pIn[2 * n - 2 * i] * pBTable[2 * i] -    
-       pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]) */
-    outR = __SMUSD(*__SIMD32(pSrc2), *__SIMD32(pCoefB));
+        /* pIn[2 * n - 2 * i] * pBTable[2 * i] -    
+        pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]) */
+        outR = __SMUSD(*__SIMD32(pSrc2), *__SIMD32(pCoefB));
 
 #else
 
-    /* -(-pIn[2 * n - 2 * i] * pBTable[2 * i] +  
-       pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1])) */
-    outR = -(__SMUSD(*__SIMD32(pSrc2), *__SIMD32(pCoefB)));
+        /* -(-pIn[2 * n - 2 * i] * pBTable[2 * i] +  
+        pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1])) */
+        outR = -(__SMUSD(*__SIMD32(pSrc2), *__SIMD32(pCoefB)));
 
 #endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
 
-    /* pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] +    
-       pIn[2 * n - 2 * i] * pBTable[2 * i] */
-    outR = __SMLAD(*__SIMD32(pSrc1), *__SIMD32(pCoefA), outR) >> 15u;
+        /* pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] +    
+        pIn[2 * n - 2 * i] * pBTable[2 * i] */
+        outR = __SMLAD(*__SIMD32(pSrc1), *__SIMD32(pCoefA), outR) >> 16u;
 
-    /*    
-       -pIn[2 * n - 2 * i] * pBTable[2 * i + 1] +    
-       pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */
-    outI = __SMUADX(*__SIMD32(pSrc2)--, *__SIMD32(pCoefB));
+        /*    
+        -pIn[2 * n - 2 * i] * pBTable[2 * i + 1] +    
+        pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */
+        outI = __SMUADX(*__SIMD32(pSrc2)--, *__SIMD32(pCoefB));
 
-    /* pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] */
+        /* pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] */
 
 #ifndef ARM_MATH_BIG_ENDIAN
 
-    outI = __SMLSDX(*__SIMD32(pCoefA), *__SIMD32(pSrc1)++, -outI);
+        outI = __SMLSDX(*__SIMD32(pCoefA), *__SIMD32(pSrc1)++, -outI);
 
 #else
 
-    outI = __SMLSDX(*__SIMD32(pSrc1)++, *__SIMD32(pCoefA), -outI);
+        outI = __SMLSDX(*__SIMD32(pSrc1)++, *__SIMD32(pCoefA), -outI);
 
 #endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-    /* write output */
+        /* write output */
 
 #ifndef ARM_MATH_BIG_ENDIAN
 
-    *__SIMD32(pDst1)++ = __PKHBT(outR, (outI >> 15u), 16);
+        *__SIMD32(pDst1)++ = __PKHBT(outR, (outI >> 16u), 16);
 
 #else
 
-    *__SIMD32(pDst1)++ = __PKHBT((outI >> 15u), outR, 16);
+        *__SIMD32(pDst1)++ = __PKHBT((outI >> 16u), outR, 16);
 
 #endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
 
-    /* update coefficient pointer */
-    pCoefB = pCoefB + (2u * modifier);
-    pCoefA = pCoefA + (2u * modifier);
-
-    i--;
+        /* update coefficient pointer */
+        pCoefB = pCoefB + (2u * modifier);
+        pCoefA = pCoefA + (2u * modifier);
 
-  }
-
-
+        i--;
+    }
 #else
-
-  /* Run the below code for Cortex-M0 */
+    /* Run the below code for Cortex-M0 */
+    i = fftLen;
 
-  i = fftLen;
-
-  while(i > 0u)
-  {
+    while(i > 0u)
+    {
+        /*    
+        outR = (pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] +    
+        pIn[2 * n - 2 * i] * pBTable[2 * i] -    
+        pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);    
+        */
 
-    /*    
-       outR = (pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] +    
-       pIn[2 * n - 2 * i] * pBTable[2 * i] -    
-       pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);    
-     */
-
-    outR = *pSrc2 * *pCoefB;
-    outR = outR - (*(pSrc2 + 1) * *(pCoefB + 1));
-    outR = outR + (*pSrc1 * *pCoefA);
-    outR = (outR + (*(pSrc1 + 1) * *(pCoefA + 1))) >> 15;
+        outR = *pSrc2 * *pCoefB;
+        outR = outR - (*(pSrc2 + 1) * *(pCoefB + 1));
+        outR = outR + (*pSrc1 * *pCoefA);
+        outR = (outR + (*(pSrc1 + 1) * *(pCoefA + 1))) >> 16;
 
-    /*   
-       outI = (pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] -   
-       pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -   
-       pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);   
-     */
+        /*   
+        outI = (pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] -   
+        pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -   
+        pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);   
+        */
 
-    outI = *(pSrc1 + 1) * *pCoefA;
-    outI = outI - (*pSrc1 * *(pCoefA + 1));
-    outI = outI - (*pSrc2 * *(pCoefB + 1));
-    outI = outI - (*(pSrc2 + 1) * *(pCoefB));
-
-    /* update input pointers */
-    pSrc1 += 2u;
-    pSrc2 -= 2u;
+        outI = *(pSrc1 + 1) * *pCoefA;
+        outI = outI - (*pSrc1 * *(pCoefA + 1));
+        outI = outI - (*pSrc2 * *(pCoefB + 1));
+        outI = outI - (*(pSrc2 + 1) * *(pCoefB));
 
-    /* write output */
-    *pDst1++ = (q15_t) outR;
-    *pDst1++ = (q15_t) (outI >> 15);
+        /* update input pointers */
+        pSrc1 += 2u;
+        pSrc2 -= 2u;
 
-    /* update coefficient pointer */
-    pCoefB = pCoefB + (2u * modifier);
-    pCoefA = pCoefA + (2u * modifier);
+        /* write output */
+        *pDst1++ = (q15_t) outR;
+        *pDst1++ = (q15_t) (outI >> 16);
 
-    i--;
-
-  }
+        /* update coefficient pointer */
+        pCoefB = pCoefB + (2u * modifier);
+        pCoefA = pCoefA + (2u * modifier);
 
+        i--;
+    }
 #endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
 }

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/TransformFunctions/arm_rfft_q31.c
--- a/cmsis_dsp/TransformFunctions/arm_rfft_q31.c	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/TransformFunctions/arm_rfft_q31.c	Fri Nov 20 08:45:18 2015 +0000
@@ -1,8 +1,8 @@
 /* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
 *    
-* $Date:        17. January 2013  
-* $Revision: 	V1.4.1  
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
 *    
 * Project: 	    CMSIS DSP Library    
 * Title:	    arm_rfft_q31.c    
@@ -41,309 +41,256 @@
 
 #include "arm_math.h"
 
-void arm_radix4_butterfly_inverse_q31(
-q31_t * pSrc,
-uint32_t fftLen,
-q31_t * pCoef,
-uint32_t twidCoefModifier);
-
-void arm_radix4_butterfly_q31(
-q31_t * pSrc,
-uint32_t fftLen,
-q31_t * pCoef,
-uint32_t twidCoefModifier);
-
-void arm_bitreversal_q31(
-q31_t * pSrc,
-uint32_t fftLen,
-uint16_t bitRevFactor,
-uint16_t * pBitRevTab);
-
 /*--------------------------------------------------------------------    
 *		Internal functions prototypes    
 --------------------------------------------------------------------*/
 
 void arm_split_rfft_q31(
-  q31_t * pSrc,
-  uint32_t fftLen,
-  q31_t * pATable,
-  q31_t * pBTable,
-  q31_t * pDst,
-  uint32_t modifier);
+    q31_t * pSrc,
+    uint32_t fftLen,
+    q31_t * pATable,
+    q31_t * pBTable,
+    q31_t * pDst,
+    uint32_t modifier);
 
 void arm_split_rifft_q31(
-  q31_t * pSrc,
-  uint32_t fftLen,
-  q31_t * pATable,
-  q31_t * pBTable,
-  q31_t * pDst,
-  uint32_t modifier);
+    q31_t * pSrc,
+    uint32_t fftLen,
+    q31_t * pATable,
+    q31_t * pBTable,
+    q31_t * pDst,
+    uint32_t modifier);
 
 /**    
- * @addtogroup RealFFT    
- * @{    
- */
+* @addtogroup RealFFT    
+* @{    
+*/
 
 /**    
- * @brief Processing function for the Q31 RFFT/RIFFT.   
- * @param[in]  *S    points to an instance of the Q31 RFFT/RIFFT structure.   
- * @param[in]  *pSrc points to the input buffer.   
- * @param[out] *pDst points to the output buffer.   
- * @return none.   
- *    
- * \par Input an output formats:   
- * \par    
- * Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process.   
- * Hence the output format is different for different RFFT sizes.    
- * The input and output formats for different RFFT sizes and number of bits to upscale are mentioned in the tables below for RFFT and RIFFT:   
- * \par    
- * \image html RFFTQ31.gif "Input and Output Formats for Q31 RFFT"    
- *    
- * \par    
- * \image html RIFFTQ31.gif "Input and Output Formats for Q31 RIFFT"    
- */
-
+* @brief Processing function for the Q31 RFFT/RIFFT.   
+* @param[in]  *S    points to an instance of the Q31 RFFT/RIFFT structure.   
+* @param[in]  *pSrc points to the input buffer.   
+* @param[out] *pDst points to the output buffer.   
+* @return none.   
+*    
+* \par Input an output formats:   
+* \par    
+* Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process.   
+* Hence the output format is different for different RFFT sizes.    
+* The input and output formats for different RFFT sizes and number of bits to upscale are mentioned in the tables below for RFFT and RIFFT:   
+* \par    
+* \image html RFFTQ31.gif "Input and Output Formats for Q31 RFFT"    
+*    
+* \par    
+* \image html RIFFTQ31.gif "Input and Output Formats for Q31 RIFFT"    
+*/
 void arm_rfft_q31(
-  const arm_rfft_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst)
+    const arm_rfft_instance_q31 * S,
+    q31_t * pSrc,
+    q31_t * pDst)
 {
-  const arm_cfft_radix4_instance_q31 *S_CFFT = S->pCfft;
-
-  /* Calculation of RIFFT of input */
-  if(S->ifftFlagR == 1u)
-  {
-    /*  Real IFFT core process */
-    arm_split_rifft_q31(pSrc, S->fftLenBy2, S->pTwiddleAReal,
-                        S->pTwiddleBReal, pDst, S->twidCoefRModifier);
+    const arm_cfft_instance_q31 *S_CFFT = S->pCfft;
+    uint32_t i;
+    uint32_t L2 = S->fftLenReal >> 1;
 
-    /* Complex readix-4 IFFT process */
-    arm_radix4_butterfly_inverse_q31(pDst, S_CFFT->fftLen,
-                                     S_CFFT->pTwiddle,
-                                     S_CFFT->twidCoefModifier);
-    /* Bit reversal process */
-    if(S->bitReverseFlagR == 1u)
+    /* Calculation of RIFFT of input */
+    if(S->ifftFlagR == 1u)
     {
-      arm_bitreversal_q31(pDst, S_CFFT->fftLen,
-                          S_CFFT->bitRevFactor, S_CFFT->pBitRevTable);
+        /*  Real IFFT core process */
+        arm_split_rifft_q31(pSrc, L2, S->pTwiddleAReal,
+                            S->pTwiddleBReal, pDst, S->twidCoefRModifier);
+        
+        /* Complex IFFT process */
+        arm_cfft_q31(S_CFFT, pDst, S->ifftFlagR, S->bitReverseFlagR);
+        
+        for(i=0;i<S->fftLenReal;i++)
+        {
+            pDst[i] = pDst[i] << 1;
+        }
     }
-  }
-  else
-  {
-    /* Calculation of RFFT of input */
+    else
+    {
+        /* Calculation of RFFT of input */
+        
+        /* Complex FFT process */
+        arm_cfft_q31(S_CFFT, pSrc, S->ifftFlagR, S->bitReverseFlagR);
 
-    /* Complex readix-4 FFT process */
-    arm_radix4_butterfly_q31(pSrc, S_CFFT->fftLen,
-                             S_CFFT->pTwiddle, S_CFFT->twidCoefModifier);
-
-    /* Bit reversal process */
-    if(S->bitReverseFlagR == 1u)
-    {
-      arm_bitreversal_q31(pSrc, S_CFFT->fftLen,
-                          S_CFFT->bitRevFactor, S_CFFT->pBitRevTable);
+        /*  Real FFT core process */
+        arm_split_rfft_q31(pSrc, L2, S->pTwiddleAReal,
+                            S->pTwiddleBReal, pDst, S->twidCoefRModifier);
     }
-
-    /*  Real FFT core process */
-    arm_split_rfft_q31(pSrc, S->fftLenBy2, S->pTwiddleAReal,
-                       S->pTwiddleBReal, pDst, S->twidCoefRModifier);
-  }
-
 }
 
-
-  /**    
-   * @} end of RealFFT group    
-   */
+/**    
+* @} end of RealFFT group    
+*/
 
 /**    
- * @brief  Core Real FFT process    
- * @param[in]   *pSrc 				points to the input buffer.    
- * @param[in]   fftLen  			length of FFT.   
- * @param[in]   *pATable 			points to the twiddle Coef A buffer.    
- * @param[in]   *pBTable 			points to the twiddle Coef B buffer.    
- * @param[out]  *pDst 				points to the output buffer.    
- * @param[in]   modifier 	        twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
- * @return none.    
- */
-
+* @brief  Core Real FFT process    
+* @param[in]   *pSrc 				points to the input buffer.    
+* @param[in]   fftLen  			    length of FFT.   
+* @param[in]   *pATable 			points to the twiddle Coef A buffer.    
+* @param[in]   *pBTable 			points to the twiddle Coef B buffer.    
+* @param[out]  *pDst 				points to the output buffer.    
+* @param[in]   modifier 	        twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
+* @return none.    
+*/
 void arm_split_rfft_q31(
-  q31_t * pSrc,
-  uint32_t fftLen,
-  q31_t * pATable,
-  q31_t * pBTable,
-  q31_t * pDst,
-  uint32_t modifier)
+    q31_t * pSrc,
+    uint32_t fftLen,
+    q31_t * pATable,
+    q31_t * pBTable,
+    q31_t * pDst,
+    uint32_t modifier)
 {
-  uint32_t i;                                    /* Loop Counter */
-  q31_t outR, outI;                              /* Temporary variables for output */
-  q31_t *pCoefA, *pCoefB;                        /* Temporary pointers for twiddle factors */
-  q31_t CoefA1, CoefA2, CoefB1;                  /* Temporary variables for twiddle coefficients */
-  q31_t *pOut1 = &pDst[2], *pOut2 = &pDst[(4u * fftLen) - 1u];
-  q31_t *pIn1 = &pSrc[2], *pIn2 = &pSrc[(2u * fftLen) - 1u];
+    uint32_t i;                                    /* Loop Counter */
+    q31_t outR, outI;                              /* Temporary variables for output */
+    q31_t *pCoefA, *pCoefB;                        /* Temporary pointers for twiddle factors */
+    q31_t CoefA1, CoefA2, CoefB1;                  /* Temporary variables for twiddle coefficients */
+    q31_t *pOut1 = &pDst[2], *pOut2 = &pDst[(4u * fftLen) - 1u];
+    q31_t *pIn1 = &pSrc[2], *pIn2 = &pSrc[(2u * fftLen) - 1u];
 
-  /* Init coefficient pointers */
-  pCoefA = &pATable[modifier * 2u];
-  pCoefB = &pBTable[modifier * 2u];
+    /* Init coefficient pointers */
+    pCoefA = &pATable[modifier * 2u];
+    pCoefB = &pBTable[modifier * 2u];
 
-  i = fftLen - 1u;
+    i = fftLen - 1u;
 
-  while(i > 0u)
-  {
-    /*    
-       outR = (pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1]    
-       + pSrc[2 * n - 2 * i] * pBTable[2 * i] +    
-       pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);    
-     */
+    while(i > 0u)
+    {
+        /*    
+        outR = (pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1]    
+        + pSrc[2 * n - 2 * i] * pBTable[2 * i] +    
+        pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);    
+        */
 
-    /* outI = (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] +    
-       pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -    
-       pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); */
+        /* outI = (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] +    
+        pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -    
+        pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); */
 
-    CoefA1 = *pCoefA++;
-    CoefA2 = *pCoefA;
-
-    /* outR = (pSrc[2 * i] * pATable[2 * i] */
-    outR = ((int32_t) (((q63_t) * pIn1 * CoefA1) >> 32));
+        CoefA1 = *pCoefA++;
+        CoefA2 = *pCoefA;
 
-    /* outI = pIn[2 * i] * pATable[2 * i + 1] */
-    outI = ((int32_t) (((q63_t) * pIn1++ * CoefA2) >> 32));
+        /* outR = (pSrc[2 * i] * pATable[2 * i] */    
+        mult_32x32_keep32_R(outR, *pIn1, CoefA1);
 
-    /* - pSrc[2 * i + 1] * pATable[2 * i + 1] */
-    outR =
-      (q31_t) ((((q63_t) outR << 32) + ((q63_t) * pIn1 * (-CoefA2))) >> 32);
+        /* outI = pIn[2 * i] * pATable[2 * i + 1] */
+        mult_32x32_keep32_R(outI, *pIn1++, CoefA2);
 
-    /* (pIn[2 * i + 1] * pATable[2 * i] */
-    outI =
-      (q31_t) ((((q63_t) outI << 32) + ((q63_t) * pIn1++ * (CoefA1))) >> 32);
+        /* - pSrc[2 * i + 1] * pATable[2 * i + 1] */
+        multSub_32x32_keep32_R(outR, *pIn1, CoefA2);
 
-    /* pSrc[2 * n - 2 * i] * pBTable[2 * i]  */
-    outR =
-      (q31_t) ((((q63_t) outR << 32) + ((q63_t) * pIn2 * (-CoefA2))) >> 32);
-    CoefB1 = *pCoefB;
+        /* (pIn[2 * i + 1] * pATable[2 * i] */
+        multAcc_32x32_keep32_R(outI, *pIn1++, CoefA1);
 
-    /* pIn[2 * n - 2 * i] * pBTable[2 * i + 1] */
-    outI =
-      (q31_t) ((((q63_t) outI << 32) + ((q63_t) * pIn2-- * (-CoefB1))) >> 32);
+        /* pSrc[2 * n - 2 * i] * pBTable[2 * i]  */
+        multSub_32x32_keep32_R(outR, *pIn2, CoefA2);
+        CoefB1 = *pCoefB;
 
-    /* pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1] */
-    outR =
-      (q31_t) ((((q63_t) outR << 32) + ((q63_t) * pIn2 * (CoefB1))) >> 32);
+        /* pIn[2 * n - 2 * i] * pBTable[2 * i + 1] */
+        multSub_32x32_keep32_R(outI, *pIn2--, CoefB1);
+
+        /* pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1] */
+        multAcc_32x32_keep32_R(outR, *pIn2, CoefB1);
 
-    /* pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */
-    outI =
-      (q31_t) ((((q63_t) outI << 32) + ((q63_t) * pIn2-- * (-CoefA2))) >> 32);
+        /* pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */
+        multSub_32x32_keep32_R(outI, *pIn2--, CoefA2);
 
-    /* write output */
-    *pOut1++ = (outR << 1u);
-    *pOut1++ = (outI << 1u);
+        /* write output */
+        *pOut1++ = outR;
+        *pOut1++ = outI;
 
-    /* write complex conjugate output */
-    *pOut2-- = -(outI << 1u);
-    *pOut2-- = (outR << 1u);
+        /* write complex conjugate output */
+        *pOut2-- = -outI;
+        *pOut2-- = outR;
 
-    /* update coefficient pointer */
-    pCoefB = pCoefB + (modifier * 2u);
-    pCoefA = pCoefA + ((modifier * 2u) - 1u);
-
-    i--;
+        /* update coefficient pointer */
+        pCoefB = pCoefB + (modifier * 2u);
+        pCoefA = pCoefA + ((modifier * 2u) - 1u);
 
-  }
+        i--;
+    }
+    pDst[2u * fftLen] = (pSrc[0] - pSrc[1]) >> 1;
+    pDst[(2u * fftLen) + 1u] = 0;
 
-  pDst[2u * fftLen] = pSrc[0] - pSrc[1];
-  pDst[(2u * fftLen) + 1u] = 0;
-
-  pDst[0] = pSrc[0] + pSrc[1];
-  pDst[1] = 0;
-
+    pDst[0] = (pSrc[0] + pSrc[1]) >> 1;
+    pDst[1] = 0;
 }
 
-
 /**    
- * @brief  Core Real IFFT process    
- * @param[in]   *pSrc 				points to the input buffer.   
- * @param[in]   fftLen  			length of FFT.    
- * @param[in]   *pATable 			points to the twiddle Coef A buffer.   
- * @param[in]   *pBTable 			points to the twiddle Coef B buffer.    
- * @param[out]  *pDst 				points to the output buffer.   
- * @param[in]   modifier 	        twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
- * @return none.    
- */
-
+* @brief  Core Real IFFT process    
+* @param[in]   *pSrc 				points to the input buffer.   
+* @param[in]   fftLen  			    length of FFT.    
+* @param[in]   *pATable 			points to the twiddle Coef A buffer.   
+* @param[in]   *pBTable 			points to the twiddle Coef B buffer.    
+* @param[out]  *pDst 				points to the output buffer.   
+* @param[in]   modifier 	        twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
+* @return none.    
+*/
 void arm_split_rifft_q31(
-  q31_t * pSrc,
-  uint32_t fftLen,
-  q31_t * pATable,
-  q31_t * pBTable,
-  q31_t * pDst,
-  uint32_t modifier)
+    q31_t * pSrc,
+    uint32_t fftLen,
+    q31_t * pATable,
+    q31_t * pBTable,
+    q31_t * pDst,
+    uint32_t modifier)
 {
-  q31_t outR, outI;                              /* Temporary variables for output */
-  q31_t *pCoefA, *pCoefB;                        /* Temporary pointers for twiddle factors */
-  q31_t CoefA1, CoefA2, CoefB1;                  /* Temporary variables for twiddle coefficients */
-  q31_t *pIn1 = &pSrc[0], *pIn2 = &pSrc[(2u * fftLen) + 1u];
-
-  pCoefA = &pATable[0];
-  pCoefB = &pBTable[0];
+    q31_t outR, outI;                              /* Temporary variables for output */
+    q31_t *pCoefA, *pCoefB;                        /* Temporary pointers for twiddle factors */
+    q31_t CoefA1, CoefA2, CoefB1;                  /* Temporary variables for twiddle coefficients */
+    q31_t *pIn1 = &pSrc[0], *pIn2 = &pSrc[(2u * fftLen) + 1u];
 
-  while(fftLen > 0u)
-  {
-    /*    
-       outR = (pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] +    
-       pIn[2 * n - 2 * i] * pBTable[2 * i] -    
-       pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);    
+    pCoefA = &pATable[0];
+    pCoefB = &pBTable[0];
 
-       outI = (pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] -    
-       pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -    
-       pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);    
-
-     */
-    CoefA1 = *pCoefA++;
-    CoefA2 = *pCoefA;
+    while(fftLen > 0u)
+    {
+        /*    
+        outR = (pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] +    
+        pIn[2 * n - 2 * i] * pBTable[2 * i] -    
+        pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);    
 
-    /* outR = (pIn[2 * i] * pATable[2 * i] */
-    outR = ((int32_t) (((q63_t) * pIn1 * CoefA1) >> 32));
-
-    /* - pIn[2 * i] * pATable[2 * i + 1] */
-    outI = -((int32_t) (((q63_t) * pIn1++ * CoefA2) >> 32));
-
-    /* pIn[2 * i + 1] * pATable[2 * i + 1] */
-    outR =
-      (q31_t) ((((q63_t) outR << 32) + ((q63_t) * pIn1 * (CoefA2))) >> 32);
+        outI = (pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] -    
+        pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -    
+        pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);   
+        */
+        CoefA1 = *pCoefA++;
+        CoefA2 = *pCoefA;
 
-    /* pIn[2 * i + 1] * pATable[2 * i] */
-    outI =
-      (q31_t) ((((q63_t) outI << 32) + ((q63_t) * pIn1++ * (CoefA1))) >> 32);
+        /* outR = (pIn[2 * i] * pATable[2 * i] */
+        mult_32x32_keep32_R(outR, *pIn1, CoefA1);
 
-    /* pIn[2 * n - 2 * i] * pBTable[2 * i] */
-    outR =
-      (q31_t) ((((q63_t) outR << 32) + ((q63_t) * pIn2 * (CoefA2))) >> 32);
+        /* - pIn[2 * i] * pATable[2 * i + 1] */
+        mult_32x32_keep32_R(outI, *pIn1++, -CoefA2);
+        
+        /* pIn[2 * i + 1] * pATable[2 * i + 1] */
+        multAcc_32x32_keep32_R(outR, *pIn1, CoefA2);
 
-    CoefB1 = *pCoefB;
-
-    /* pIn[2 * n - 2 * i] * pBTable[2 * i + 1] */
-    outI =
-      (q31_t) ((((q63_t) outI << 32) - ((q63_t) * pIn2-- * (CoefB1))) >> 32);
+        /* pIn[2 * i + 1] * pATable[2 * i] */
+        multAcc_32x32_keep32_R(outI, *pIn1++, CoefA1);
 
-    /* pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1] */
-    outR =
-      (q31_t) ((((q63_t) outR << 32) + ((q63_t) * pIn2 * (CoefB1))) >> 32);
+        /* pIn[2 * n - 2 * i] * pBTable[2 * i] */
+        multAcc_32x32_keep32_R(outR, *pIn2, CoefA2);
+        CoefB1 = *pCoefB;
 
-    /* pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */
-    outI =
-      (q31_t) ((((q63_t) outI << 32) + ((q63_t) * pIn2-- * (CoefA2))) >> 32);
+        /* pIn[2 * n - 2 * i] * pBTable[2 * i + 1] */
+        multSub_32x32_keep32_R(outI, *pIn2--, CoefB1);
 
-    /* write output */
-    *pDst++ = (outR << 1u);
-    *pDst++ = (outI << 1u);
+        /* pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1] */
+        multAcc_32x32_keep32_R(outR, *pIn2, CoefB1);
+
+        /* pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */
+        multAcc_32x32_keep32_R(outI, *pIn2--, CoefA2);
 
-    /* update coefficient pointer */
-    pCoefB = pCoefB + (modifier * 2u);
-    pCoefA = pCoefA + ((modifier * 2u) - 1u);
+        /* write output */
+        *pDst++ = outR;
+        *pDst++ = outI;
 
-    /* Decrement loop count */
-    fftLen--;
+        /* update coefficient pointer */
+        pCoefB = pCoefB + (modifier * 2u);
+        pCoefA = pCoefA + ((modifier * 2u) - 1u);
 
-  }
-
-
+        /* Decrement loop count */
+        fftLen--;
+    }
 }

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/arm_common_tables.h
--- a/cmsis_dsp/arm_common_tables.h	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/arm_common_tables.h	Fri Nov 20 08:45:18 2015 +0000
@@ -1,13 +1,13 @@
 /* ----------------------------------------------------------------------
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
 *
-* $Date:        17. January 2013
-* $Revision:    V1.4.1
+* $Date:        19. October 2015
+* $Revision: 	V.1.4.5 a
 *
-* Project:      CMSIS DSP Library
-* Title:        arm_common_tables.h
+* Project: 	    CMSIS DSP Library
+* Title:	    arm_common_tables.h
 *
-* Description:  This file has extern declaration for common tables like Bitreverse, reciprocal etc which are used across different functions
+* Description:	This file has extern declaration for common tables like Bitreverse, reciprocal etc which are used across different functions
 *
 * Target Processor: Cortex-M4/Cortex-M3
 *
@@ -46,8 +46,8 @@
 extern const uint16_t armBitRevTable[1024];
 extern const q15_t armRecipTableQ15[64];
 extern const q31_t armRecipTableQ31[64];
-extern const q31_t realCoefAQ31[1024];
-extern const q31_t realCoefBQ31[1024];
+/* extern const q31_t realCoefAQ31[1024]; */
+/* extern const q31_t realCoefBQ31[1024]; */
 extern const float32_t twiddleCoef_16[32];
 extern const float32_t twiddleCoef_32[64];
 extern const float32_t twiddleCoef_64[128];
@@ -58,8 +58,24 @@
 extern const float32_t twiddleCoef_2048[4096];
 extern const float32_t twiddleCoef_4096[8192];
 #define twiddleCoef twiddleCoef_4096
-extern const q31_t twiddleCoefQ31[6144];
-extern const q15_t twiddleCoefQ15[6144];
+extern const q31_t twiddleCoef_16_q31[24];
+extern const q31_t twiddleCoef_32_q31[48];
+extern const q31_t twiddleCoef_64_q31[96];
+extern const q31_t twiddleCoef_128_q31[192];
+extern const q31_t twiddleCoef_256_q31[384];
+extern const q31_t twiddleCoef_512_q31[768];
+extern const q31_t twiddleCoef_1024_q31[1536];
+extern const q31_t twiddleCoef_2048_q31[3072];
+extern const q31_t twiddleCoef_4096_q31[6144];
+extern const q15_t twiddleCoef_16_q15[24];
+extern const q15_t twiddleCoef_32_q15[48];
+extern const q15_t twiddleCoef_64_q15[96];
+extern const q15_t twiddleCoef_128_q15[192];
+extern const q15_t twiddleCoef_256_q15[384];
+extern const q15_t twiddleCoef_512_q15[768];
+extern const q15_t twiddleCoef_1024_q15[1536];
+extern const q15_t twiddleCoef_2048_q15[3072];
+extern const q15_t twiddleCoef_4096_q15[6144];
 extern const float32_t twiddleCoef_rfft_32[32];
 extern const float32_t twiddleCoef_rfft_64[64];
 extern const float32_t twiddleCoef_rfft_128[128];
@@ -70,6 +86,7 @@
 extern const float32_t twiddleCoef_rfft_4096[4096];
 
 
+/* floating-point bit reversal tables */
 #define ARMBITREVINDEXTABLE__16_TABLE_LENGTH ((uint16_t)20  )
 #define ARMBITREVINDEXTABLE__32_TABLE_LENGTH ((uint16_t)48  )
 #define ARMBITREVINDEXTABLE__64_TABLE_LENGTH ((uint16_t)56  )
@@ -90,4 +107,30 @@
 extern const uint16_t armBitRevIndexTable2048[ARMBITREVINDEXTABLE2048_TABLE_LENGTH];
 extern const uint16_t armBitRevIndexTable4096[ARMBITREVINDEXTABLE4096_TABLE_LENGTH];
 
+/* fixed-point bit reversal tables */
+#define ARMBITREVINDEXTABLE_FIXED___16_TABLE_LENGTH ((uint16_t)12  )
+#define ARMBITREVINDEXTABLE_FIXED___32_TABLE_LENGTH ((uint16_t)24  )
+#define ARMBITREVINDEXTABLE_FIXED___64_TABLE_LENGTH ((uint16_t)56  )
+#define ARMBITREVINDEXTABLE_FIXED__128_TABLE_LENGTH ((uint16_t)112 )
+#define ARMBITREVINDEXTABLE_FIXED__256_TABLE_LENGTH ((uint16_t)240 )
+#define ARMBITREVINDEXTABLE_FIXED__512_TABLE_LENGTH ((uint16_t)480 )
+#define ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH ((uint16_t)992 )
+#define ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH ((uint16_t)1984)
+#define ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH ((uint16_t)4032)
+
+extern const uint16_t armBitRevIndexTable_fixed_16[ARMBITREVINDEXTABLE_FIXED___16_TABLE_LENGTH];
+extern const uint16_t armBitRevIndexTable_fixed_32[ARMBITREVINDEXTABLE_FIXED___32_TABLE_LENGTH];
+extern const uint16_t armBitRevIndexTable_fixed_64[ARMBITREVINDEXTABLE_FIXED___64_TABLE_LENGTH];
+extern const uint16_t armBitRevIndexTable_fixed_128[ARMBITREVINDEXTABLE_FIXED__128_TABLE_LENGTH];
+extern const uint16_t armBitRevIndexTable_fixed_256[ARMBITREVINDEXTABLE_FIXED__256_TABLE_LENGTH];
+extern const uint16_t armBitRevIndexTable_fixed_512[ARMBITREVINDEXTABLE_FIXED__512_TABLE_LENGTH];
+extern const uint16_t armBitRevIndexTable_fixed_1024[ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH];
+extern const uint16_t armBitRevIndexTable_fixed_2048[ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH];
+extern const uint16_t armBitRevIndexTable_fixed_4096[ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH];
+
+/* Tables for Fast Math Sine and Cosine */
+extern const float32_t sinTable_f32[FAST_MATH_TABLE_SIZE + 1];
+extern const q31_t sinTable_q31[FAST_MATH_TABLE_SIZE + 1];
+extern const q15_t sinTable_q15[FAST_MATH_TABLE_SIZE + 1];
+
 #endif /*  ARM_COMMON_TABLES_H */

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/arm_const_structs.h
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/cmsis_dsp/arm_const_structs.h	Fri Nov 20 08:45:18 2015 +0000
@@ -0,0 +1,79 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
+*
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*
+* Project: 	    CMSIS DSP Library
+* Title:	    arm_const_structs.h
+*
+* Description:	This file has constant structs that are initialized for
+*              user convenience.  For example, some can be given as
+*              arguments to the arm_cfft_f32() function.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+#ifndef _ARM_CONST_STRUCTS_H
+#define _ARM_CONST_STRUCTS_H
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len16;
+   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len32;
+   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len64;
+   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len128;
+   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len256;
+   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len512;
+   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len1024;
+   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len2048;
+   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len4096;
+
+   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len16;
+   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len32;
+   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len64;
+   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len128;
+   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len256;
+   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len512;
+   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len1024;
+   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len2048;
+   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len4096;
+
+   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len16;
+   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len32;
+   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len64;
+   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len128;
+   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len256;
+   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len512;
+   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len1024;
+   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len2048;
+   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len4096;
+
+#endif

diff -r 9cee975aadce -r 3762170b6d4d cmsis_dsp/arm_math.h
--- a/cmsis_dsp/arm_math.h	Mon Jun 23 09:30:09 2014 +0100
+++ b/cmsis_dsp/arm_math.h	Fri Nov 20 08:45:18 2015 +0000
@@ -1,15 +1,15 @@
 /* ----------------------------------------------------------------------
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.
+* Copyright (C) 2010-2015 ARM Limited. All rights reserved.
 *
-* $Date:        17. January 2013
-* $Revision:    V1.4.1
+* $Date:        20. October 2015
+* $Revision:    V1.4.5 b
 *
 * Project:      CMSIS DSP Library
 * Title:        arm_math.h
 *
 * Description:  Public header file for CMSIS DSP Library
 *
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+* Target Processor: Cortex-M7/Cortex-M4/Cortex-M3/Cortex-M0
 *
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions
@@ -41,7 +41,8 @@
 /**
    \mainpage CMSIS DSP Software Library
    *
-   * <b>Introduction</b>
+   * Introduction
+   * ------------
    *
    * This user manual describes the CMSIS DSP software library,
    * a suite of common signal processing functions for use on Cortex-M processor based devices.
@@ -61,49 +62,53 @@
    * The library has separate functions for operating on 8-bit integers, 16-bit integers,
    * 32-bit integer and 32-bit floating-point values.
    *
-   * <b>Using the Library</b>
+   * Using the Library
+   * ------------
    *
    * The library installer contains prebuilt versions of the libraries in the <code>Lib</code> folder.
+   * - arm_cortexM7lfdp_math.lib (Little endian and Double Precision Floating Point Unit on Cortex-M7)
+   * - arm_cortexM7bfdp_math.lib (Big endian and Double Precision Floating Point Unit on Cortex-M7)
+   * - arm_cortexM7lfsp_math.lib (Little endian and Single Precision Floating Point Unit on Cortex-M7)
+   * - arm_cortexM7bfsp_math.lib (Big endian and Single Precision Floating Point Unit on Cortex-M7)
+   * - arm_cortexM7l_math.lib (Little endian on Cortex-M7)
+   * - arm_cortexM7b_math.lib (Big endian on Cortex-M7)
    * - arm_cortexM4lf_math.lib (Little endian and Floating Point Unit on Cortex-M4)
    * - arm_cortexM4bf_math.lib (Big endian and Floating Point Unit on Cortex-M4)
    * - arm_cortexM4l_math.lib (Little endian on Cortex-M4)
    * - arm_cortexM4b_math.lib (Big endian on Cortex-M4)
    * - arm_cortexM3l_math.lib (Little endian on Cortex-M3)
    * - arm_cortexM3b_math.lib (Big endian on Cortex-M3)
-   * - arm_cortexM0l_math.lib (Little endian on Cortex-M0)
-   * - arm_cortexM0b_math.lib (Big endian on Cortex-M3)
+   * - arm_cortexM0l_math.lib (Little endian on Cortex-M0 / CortexM0+)
+   * - arm_cortexM0b_math.lib (Big endian on Cortex-M0 / CortexM0+)
    *
    * The library functions are declared in the public file <code>arm_math.h</code> which is placed in the <code>Include</code> folder.
    * Simply include this file and link the appropriate library in the application and begin calling the library functions. The Library supports single
-   * public header file <code> arm_math.h</code> for Cortex-M4/M3/M0 with little endian and big endian. Same header file will be used for floating point unit(FPU) variants.
-   * Define the appropriate pre processor MACRO ARM_MATH_CM4 or  ARM_MATH_CM3 or
+   * public header file <code> arm_math.h</code> for Cortex-M7/M4/M3/M0/M0+ with little endian and big endian. Same header file will be used for floating point unit(FPU) variants.
+   * Define the appropriate pre processor MACRO ARM_MATH_CM7 or ARM_MATH_CM4 or  ARM_MATH_CM3 or
    * ARM_MATH_CM0 or ARM_MATH_CM0PLUS depending on the target processor in the application.
    *
-   * <b>Examples</b>
+   * Examples
+   * --------
    *
    * The library ships with a number of examples which demonstrate how to use the library functions.
    *
-   * <b>Toolchain Support</b>
+   * Toolchain Support
+   * ------------
    *
-   * The library has been developed and tested with MDK-ARM version 4.60.
+   * The library has been developed and tested with MDK-ARM version 5.14.0.0
    * The library is being tested in GCC and IAR toolchains and updates on this activity will be made available shortly.
    *
-   * <b>Building the Library</b>
+   * Building the Library
+   * ------------
    *
-   * The library installer contains project files to re build libraries on MDK Tool chain in the <code>CMSIS\\DSP_Lib\\Source\\ARM</code> folder.
-   * - arm_cortexM0b_math.uvproj
-   * - arm_cortexM0l_math.uvproj
-   * - arm_cortexM3b_math.uvproj
-   * - arm_cortexM3l_math.uvproj
-   * - arm_cortexM4b_math.uvproj
-   * - arm_cortexM4l_math.uvproj
-   * - arm_cortexM4bf_math.uvproj
-   * - arm_cortexM4lf_math.uvproj
+   * The library installer contains a project file to re build libraries on MDK-ARM Tool chain in the <code>CMSIS\\DSP_Lib\\Source\\ARM</code> folder.
+   * - arm_cortexM_math.uvprojx
    *
    *
-   * The project can be built by opening the appropriate project in MDK-ARM 4.60 chain and defining the optional pre processor MACROs detailed above.
+   * The libraries can be built by opening the arm_cortexM_math.uvprojx project in MDK-ARM, selecting a specific target, and defining the optional pre processor MACROs detailed above.
    *
-   * <b>Pre-processor Macros</b>
+   * Pre-processor Macros
+   * ------------
    *
    * Each library project have differant pre-processor macros.
    *
@@ -126,15 +131,34 @@
    * - ARM_MATH_CMx:
    *
    * Define macro ARM_MATH_CM4 for building the library on Cortex-M4 target, ARM_MATH_CM3 for building library on Cortex-M3 target
-   * and ARM_MATH_CM0 for building library on cortex-M0 target, ARM_MATH_CM0PLUS for building library on cortex-M0+ target.
+   * and ARM_MATH_CM0 for building library on Cortex-M0 target, ARM_MATH_CM0PLUS for building library on Cortex-M0+ target, and
+   * ARM_MATH_CM7 for building the library on cortex-M7.
    *
    * - __FPU_PRESENT:
    *
    * Initialize macro __FPU_PRESENT = 1 when building on FPU supported Targets. Enable this macro for M4bf and M4lf libraries
    *
-   * <b>Copyright Notice</b>
+   * <hr>
+   * CMSIS-DSP in ARM::CMSIS Pack
+   * -----------------------------
    *
-   * Copyright (C) 2010-2013 ARM Limited. All rights reserved.
+   * The following files relevant to CMSIS-DSP are present in the <b>ARM::CMSIS</b> Pack directories:
+   * |File/Folder                   |Content                                                                 |
+   * |------------------------------|------------------------------------------------------------------------|
+   * |\b CMSIS\\Documentation\\DSP  | This documentation                                                     |
+   * |\b CMSIS\\DSP_Lib             | Software license agreement (license.txt)                               |
+   * |\b CMSIS\\DSP_Lib\\Examples   | Example projects demonstrating the usage of the library functions      |
+   * |\b CMSIS\\DSP_Lib\\Source     | Source files for rebuilding the library                                |
+   *
+   * <hr>
+   * Revision History of CMSIS-DSP
+   * ------------
+   * Please refer to \ref ChangeLog_pg.
+   *
+   * Copyright Notice
+   * ------------
+   *
+   * Copyright (C) 2010-2015 ARM Limited. All rights reserved.
    */
 
 
@@ -264,27 +288,37 @@
 #ifndef _ARM_MATH_H
 #define _ARM_MATH_H
 
+/* ignore some GCC warnings */
+#if defined ( __GNUC__ )
+#pragma GCC diagnostic push
+#pragma GCC diagnostic ignored "-Wsign-conversion"
+#pragma GCC diagnostic ignored "-Wconversion"
+#pragma GCC diagnostic ignored "-Wunused-parameter"
+#endif
+
 #define __CMSIS_GENERIC         /* disable NVIC and Systick functions */
 
-#if defined (ARM_MATH_CM4)
-#include "core_cm4.h"
+#if defined(ARM_MATH_CM7)
+  #include "core_cm7.h"
+#elif defined (ARM_MATH_CM4)
+  #include "core_cm4.h"
 #elif defined (ARM_MATH_CM3)
-#include "core_cm3.h"
+  #include "core_cm3.h"
 #elif defined (ARM_MATH_CM0)
-#include "core_cm0.h"
-#define ARM_MATH_CM0_FAMILY
+  #include "core_cm0.h"
+  #define ARM_MATH_CM0_FAMILY
 #elif defined (ARM_MATH_CM0PLUS)
-#include "core_cm0plus.h"
-#define ARM_MATH_CM0_FAMILY
+  #include "core_cm0plus.h"
+  #define ARM_MATH_CM0_FAMILY
 #else
-#include "ARMCM4.h"
-#warning "Define either ARM_MATH_CM4 OR ARM_MATH_CM3...By Default building on ARM_MATH_CM4....."
+  #error "Define according the used Cortex core ARM_MATH_CM7, ARM_MATH_CM4, ARM_MATH_CM3, ARM_MATH_CM0PLUS or ARM_MATH_CM0"
 #endif
 
 #undef  __CMSIS_GENERIC         /* enable NVIC and Systick functions */
 #include "string.h"
 #include "math.h"
-#ifdef	__cplusplus
+
+#ifdef   __cplusplus
 extern "C"
 {
 #endif
@@ -294,27 +328,31 @@
    * @brief Macros required for reciprocal calculation in Normalized LMS
    */
 
-#define DELTA_Q31 			(0x100)
-#define DELTA_Q15 			0x5
-#define INDEX_MASK 			0x0000003F
+#define DELTA_Q31          (0x100)
+#define DELTA_Q15          0x5
+#define INDEX_MASK         0x0000003F
 #ifndef PI
-#define PI					3.14159265358979f
+#define PI                 3.14159265358979f
 #endif
 
   /**
    * @brief Macros required for SINE and COSINE Fast math approximations
    */
 
-#define TABLE_SIZE			256
-#define TABLE_SPACING_Q31	0x800000
-#define TABLE_SPACING_Q15	0x80
+#define FAST_MATH_TABLE_SIZE  512
+#define FAST_MATH_Q31_SHIFT   (32 - 10)
+#define FAST_MATH_Q15_SHIFT   (16 - 10)
+#define CONTROLLER_Q31_SHIFT  (32 - 9)
+#define TABLE_SIZE  256
+#define TABLE_SPACING_Q31     0x400000
+#define TABLE_SPACING_Q15     0x80
 
   /**
    * @brief Macros required for SINE and COSINE Controller functions
    */
   /* 1.31(q31) Fixed value of 2/360 */
   /* -1 to +1 is divided into 360 values so total spacing is (2/360) */
-#define INPUT_SPACING			0xB60B61
+#define INPUT_SPACING         0xB60B61
 
   /**
    * @brief Macro for Unaligned Support
@@ -327,7 +365,7 @@
   #else
     #define ALIGN4 __align(4)
   #endif
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
+#endif   /* #ifndef UNALIGNED_SUPPORT_DISABLE */
 
   /**
    * @brief Error status returned by some functions in the library.
@@ -378,24 +416,37 @@
    * @brief definition to read/write two 16 bit values.
    */
 #if defined __CC_ARM
-#define __SIMD32_TYPE int32_t __packed
-#define CMSIS_UNUSED __attribute__((unused))
+  #define __SIMD32_TYPE int32_t __packed
+  #define CMSIS_UNUSED __attribute__((unused))
+
+#elif defined(__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050)
+  #define __SIMD32_TYPE int32_t
+  #define CMSIS_UNUSED __attribute__((unused))
+
+#elif defined __GNUC__
+  #define __SIMD32_TYPE int32_t
+  #define CMSIS_UNUSED __attribute__((unused))
+
 #elif defined __ICCARM__
-#define CMSIS_UNUSED
-#define __SIMD32_TYPE int32_t __packed
-#elif defined __GNUC__
-#define __SIMD32_TYPE int32_t
-#define CMSIS_UNUSED __attribute__((unused))
+  #define __SIMD32_TYPE int32_t __packed
+  #define CMSIS_UNUSED
+
+#elif defined __CSMC__
+  #define __SIMD32_TYPE int32_t
+  #define CMSIS_UNUSED
+
+#elif defined __TASKING__
+  #define __SIMD32_TYPE __unaligned int32_t
+  #define CMSIS_UNUSED
+
 #else
-#error Unknown compiler
+  #error Unknown compiler
 #endif
 
-#define __SIMD32(addr)  (*(__SIMD32_TYPE **) & (addr))
+#define __SIMD32(addr)        (*(__SIMD32_TYPE **) & (addr))
 #define __SIMD32_CONST(addr)  ((__SIMD32_TYPE *)(addr))
-
 #define _SIMD32_OFFSET(addr)  (*(__SIMD32_TYPE *)  (addr))
-
-#define __SIMD64(addr)  (*(int64_t **) & (addr))
+#define __SIMD64(addr)        (*(int64_t **) & (addr))
 
 #if defined (ARM_MATH_CM3) || defined (ARM_MATH_CM0_FAMILY)
   /**
@@ -414,16 +465,16 @@
    */
 #ifndef ARM_MATH_BIG_ENDIAN
 
-#define __PACKq7(v0,v1,v2,v3) ( (((int32_t)(v0) <<  0) & (int32_t)0x000000FF) |	\
-                                (((int32_t)(v1) <<  8) & (int32_t)0x0000FF00) |	\
-							    (((int32_t)(v2) << 16) & (int32_t)0x00FF0000) |	\
-							    (((int32_t)(v3) << 24) & (int32_t)0xFF000000)  )
+#define __PACKq7(v0,v1,v2,v3) ( (((int32_t)(v0) <<  0) & (int32_t)0x000000FF) | \
+                                (((int32_t)(v1) <<  8) & (int32_t)0x0000FF00) | \
+                                (((int32_t)(v2) << 16) & (int32_t)0x00FF0000) | \
+                                (((int32_t)(v3) << 24) & (int32_t)0xFF000000)  )
 #else
 
-#define __PACKq7(v0,v1,v2,v3) ( (((int32_t)(v3) <<  0) & (int32_t)0x000000FF) |	\
-                                (((int32_t)(v2) <<  8) & (int32_t)0x0000FF00) |	\
-							    (((int32_t)(v1) << 16) & (int32_t)0x00FF0000) |	\
-							    (((int32_t)(v0) << 24) & (int32_t)0xFF000000)  )
+#define __PACKq7(v0,v1,v2,v3) ( (((int32_t)(v3) <<  0) & (int32_t)0x000000FF) | \
+                                (((int32_t)(v2) <<  8) & (int32_t)0x0000FF00) | \
+                                (((int32_t)(v1) << 16) & (int32_t)0x00FF0000) | \
+                                (((int32_t)(v0) << 24) & (int32_t)0xFF000000)  )
 
 #endif
 
@@ -480,15 +531,16 @@
             (((q63_t) (x >> 32) * y)));
   }
 
-
-#if defined (ARM_MATH_CM0_FAMILY) && defined ( __CC_ARM   )
-#define __CLZ __clz
-#elif defined (ARM_MATH_CM0_FAMILY) && ((defined (__ICCARM__)) ||(defined (__GNUC__)) || defined (__TASKING__) )
-
+/*
+  #if defined (ARM_MATH_CM0_FAMILY) && defined ( __CC_ARM   )
+  #define __CLZ __clz
+  #endif
+ */
+/* note: function can be removed when all toolchain support __CLZ for Cortex-M0 */
+#if defined (ARM_MATH_CM0_FAMILY) && ((defined (__ICCARM__))  )
   static __INLINE uint32_t __CLZ(
   q31_t data);
 
-
   static __INLINE uint32_t __CLZ(
   q31_t data)
   {
@@ -502,9 +554,7 @@
     }
 
     return (count);
-
   }
-
 #endif
 
   /**
@@ -516,25 +566,25 @@
   q31_t * dst,
   q31_t * pRecipTable)
   {
-
-    uint32_t out, tempVal;
+    q31_t out;
+    uint32_t tempVal;
     uint32_t index, i;
     uint32_t signBits;
 
     if(in > 0)
     {
-      signBits = __CLZ(in) - 1;
+      signBits = ((uint32_t) (__CLZ( in) - 1));
     }
     else
     {
-      signBits = __CLZ(-in) - 1;
+      signBits = ((uint32_t) (__CLZ(-in) - 1));
     }
 
     /* Convert input sample to 1.31 format */
-    in = in << signBits;
+    in = (in << signBits);
 
     /* calculation of index for initial approximated Val */
-    index = (uint32_t) (in >> 24u);
+    index = (uint32_t)(in >> 24);
     index = (index & INDEX_MASK);
 
     /* 1.31 with exp 1 */
@@ -544,11 +594,11 @@
     /* running approximation for two iterations */
     for (i = 0u; i < 2u; i++)
     {
-      tempVal = (q31_t) (((q63_t) in * out) >> 31u);
-      tempVal = 0x7FFFFFFF - tempVal;
+      tempVal = (uint32_t) (((q63_t) in * out) >> 31);
+      tempVal = 0x7FFFFFFFu - tempVal;
       /*      1.31 with exp 1 */
-      //out = (q31_t) (((q63_t) out * tempVal) >> 30u);
-      out = (q31_t) clip_q63_to_q31(((q63_t) out * tempVal) >> 30u);
+      /* out = (q31_t) (((q63_t) out * tempVal) >> 30); */
+      out = clip_q63_to_q31(((q63_t) out * tempVal) >> 30);
     }
 
     /* write output */
@@ -556,9 +606,9 @@
 
     /* return num of signbits of out = 1/in value */
     return (signBits + 1u);
-
   }
 
+
   /**
    * @brief Function to Calculates 1/in (reciprocal) value of Q15 Data type.
    */
@@ -567,25 +617,25 @@
   q15_t * dst,
   q15_t * pRecipTable)
   {
-
-    uint32_t out = 0, tempVal = 0;
+    q15_t out = 0;
+    uint32_t tempVal = 0;
     uint32_t index = 0, i = 0;
     uint32_t signBits = 0;
 
     if(in > 0)
     {
-      signBits = __CLZ(in) - 17;
+      signBits = ((uint32_t)(__CLZ( in) - 17));
     }
     else
     {
-      signBits = __CLZ(-in) - 17;
+      signBits = ((uint32_t)(__CLZ(-in) - 17));
     }
 
     /* Convert input sample to 1.15 format */
-    in = in << signBits;
+    in = (in << signBits);
 
     /* calculation of index for initial approximated Val */
-    index = in >> 8;
+    index = (uint32_t)(in >>  8);
     index = (index & INDEX_MASK);
 
     /*      1.15 with exp 1  */
@@ -593,12 +643,13 @@
 
     /* calculation of reciprocal value */
     /* running approximation for two iterations */
-    for (i = 0; i < 2; i++)
+    for (i = 0u; i < 2u; i++)
     {
-      tempVal = (q15_t) (((q31_t) in * out) >> 15);
-      tempVal = 0x7FFF - tempVal;
+      tempVal = (uint32_t) (((q31_t) in * out) >> 15);
+      tempVal = 0x7FFFu - tempVal;
       /*      1.15 with exp 1 */
       out = (q15_t) (((q31_t) out * tempVal) >> 14);
+      /* out = clip_q31_to_q15(((q31_t) out * tempVal) >> 14); */
     }
 
     /* write output */
@@ -606,7 +657,6 @@
 
     /* return num of signbits of out = 1/in value */
     return (signBits + 1);
-
   }
 
 
@@ -614,7 +664,6 @@
    * @brief C custom defined intrinisic function for only M0 processors
    */
 #if defined(ARM_MATH_CM0_FAMILY)
-
   static __INLINE q31_t __SSAT(
   q31_t x,
   uint32_t y)
@@ -647,14 +696,10 @@
       }
     }
     return (x);
-
-
   }
-
 #endif /* end of ARM_MATH_CM0_FAMILY */
 
 
-
   /*
    * @brief C custom defined intrinsic function for M3 and M0 processors
    */
@@ -663,377 +708,319 @@
   /*
    * @brief C custom defined QADD8 for M3 and M0 processors
    */
-  static __INLINE q31_t __QADD8(
-  q31_t x,
-  q31_t y)
+  static __INLINE uint32_t __QADD8(
+  uint32_t x,
+  uint32_t y)
   {
-
-    q31_t sum;
-    q7_t r, s, t, u;
-
-    r = (q7_t) x;
-    s = (q7_t) y;
-
-    r = __SSAT((q31_t) (r + s), 8);
-    s = __SSAT(((q31_t) (((x << 16) >> 24) + ((y << 16) >> 24))), 8);
-    t = __SSAT(((q31_t) (((x << 8) >> 24) + ((y << 8) >> 24))), 8);
-    u = __SSAT(((q31_t) ((x >> 24) + (y >> 24))), 8);
-
-    sum =
-      (((q31_t) u << 24) & 0xFF000000) | (((q31_t) t << 16) & 0x00FF0000) |
-      (((q31_t) s << 8) & 0x0000FF00) | (r & 0x000000FF);
-
-    return sum;
-
+    q31_t r, s, t, u;
+
+    r = __SSAT(((((q31_t)x << 24) >> 24) + (((q31_t)y << 24) >> 24)), 8) & (int32_t)0x000000FF;
+    s = __SSAT(((((q31_t)x << 16) >> 24) + (((q31_t)y << 16) >> 24)), 8) & (int32_t)0x000000FF;
+    t = __SSAT(((((q31_t)x <<  8) >> 24) + (((q31_t)y <<  8) >> 24)), 8) & (int32_t)0x000000FF;
+    u = __SSAT(((((q31_t)x      ) >> 24) + (((q31_t)y      ) >> 24)), 8) & (int32_t)0x000000FF;
+
+    return ((uint32_t)((u << 24) | (t << 16) | (s <<  8) | (r      )));
   }
 
+
   /*
    * @brief C custom defined QSUB8 for M3 and M0 processors
    */
-  static __INLINE q31_t __QSUB8(
-  q31_t x,
-  q31_t y)
+  static __INLINE uint32_t __QSUB8(
+  uint32_t x,
+  uint32_t y)
   {
-
-    q31_t sum;
     q31_t r, s, t, u;
 
-    r = (q7_t) x;
-    s = (q7_t) y;
-
-    r = __SSAT((r - s), 8);
-    s = __SSAT(((q31_t) (((x << 16) >> 24) - ((y << 16) >> 24))), 8) << 8;
-    t = __SSAT(((q31_t) (((x << 8) >> 24) - ((y << 8) >> 24))), 8) << 16;
-    u = __SSAT(((q31_t) ((x >> 24) - (y >> 24))), 8) << 24;
-
-    sum =
-      (u & 0xFF000000) | (t & 0x00FF0000) | (s & 0x0000FF00) | (r &
-                                                                0x000000FF);
-
-    return sum;
+    r = __SSAT(((((q31_t)x << 24) >> 24) - (((q31_t)y << 24) >> 24)), 8) & (int32_t)0x000000FF;
+    s = __SSAT(((((q31_t)x << 16) >> 24) - (((q31_t)y << 16) >> 24)), 8) & (int32_t)0x000000FF;
+    t = __SSAT(((((q31_t)x <<  8) >> 24) - (((q31_t)y <<  8) >> 24)), 8) & (int32_t)0x000000FF;
+    u = __SSAT(((((q31_t)x      ) >> 24) - (((q31_t)y      ) >> 24)), 8) & (int32_t)0x000000FF;
+
+    return ((uint32_t)((u << 24) | (t << 16) | (s <<  8) | (r      )));
   }
 
+
   /*
    * @brief C custom defined QADD16 for M3 and M0 processors
    */
-
-  /*
-   * @brief C custom defined QADD16 for M3 and M0 processors
-   */
-  static __INLINE q31_t __QADD16(
-  q31_t x,
-  q31_t y)
+  static __INLINE uint32_t __QADD16(
+  uint32_t x,
+  uint32_t y)
   {
-
-    q31_t sum;
-    q31_t r, s;
-
-    r = (short) x;
-    s = (short) y;
-
-    r = __SSAT(r + s, 16);
-    s = __SSAT(((q31_t) ((x >> 16) + (y >> 16))), 16) << 16;
-
-    sum = (s & 0xFFFF0000) | (r & 0x0000FFFF);
-
-    return sum;
-
+/*  q31_t r,     s;  without initialisation 'arm_offset_q15 test' fails  but 'intrinsic' tests pass! for armCC */
+    q31_t r = 0, s = 0;
+
+    r = __SSAT(((((q31_t)x << 16) >> 16) + (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF;
+    s = __SSAT(((((q31_t)x      ) >> 16) + (((q31_t)y      ) >> 16)), 16) & (int32_t)0x0000FFFF;
+
+    return ((uint32_t)((s << 16) | (r      )));
   }
 
+
   /*
    * @brief C custom defined SHADD16 for M3 and M0 processors
    */
-  static __INLINE q31_t __SHADD16(
-  q31_t x,
-  q31_t y)
+  static __INLINE uint32_t __SHADD16(
+  uint32_t x,
+  uint32_t y)
   {
-
-    q31_t sum;
     q31_t r, s;
 
-    r = (short) x;
-    s = (short) y;
-
-    r = ((r >> 1) + (s >> 1));
-    s = ((q31_t) ((x >> 17) + (y >> 17))) << 16;
-
-    sum = (s & 0xFFFF0000) | (r & 0x0000FFFF);
-
-    return sum;
-
+    r = (((((q31_t)x << 16) >> 16) + (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+    s = (((((q31_t)x      ) >> 16) + (((q31_t)y      ) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+
+    return ((uint32_t)((s << 16) | (r      )));
   }
 
+
   /*
    * @brief C custom defined QSUB16 for M3 and M0 processors
    */
-  static __INLINE q31_t __QSUB16(
-  q31_t x,
-  q31_t y)
+  static __INLINE uint32_t __QSUB16(
+  uint32_t x,
+  uint32_t y)
   {
-
-    q31_t sum;
     q31_t r, s;
 
-    r = (short) x;
-    s = (short) y;
-
-    r = __SSAT(r - s, 16);
-    s = __SSAT(((q31_t) ((x >> 16) - (y >> 16))), 16) << 16;
-
-    sum = (s & 0xFFFF0000) | (r & 0x0000FFFF);
-
-    return sum;
+    r = __SSAT(((((q31_t)x << 16) >> 16) - (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF;
+    s = __SSAT(((((q31_t)x      ) >> 16) - (((q31_t)y      ) >> 16)), 16) & (int32_t)0x0000FFFF;
+
+    return ((uint32_t)((s << 16) | (r      )));
   }
 
+
   /*
    * @brief C custom defined SHSUB16 for M3 and M0 processors
    */
-  static __INLINE q31_t __SHSUB16(
-  q31_t x,
-  q31_t y)
+  static __INLINE uint32_t __SHSUB16(
+  uint32_t x,
+  uint32_t y)
   {
-
-    q31_t diff;
     q31_t r, s;
 
-    r = (short) x;
-    s = (short) y;
-
-    r = ((r >> 1) - (s >> 1));
-    s = (((x >> 17) - (y >> 17)) << 16);
-
-    diff = (s & 0xFFFF0000) | (r & 0x0000FFFF);
-
-    return diff;
+    r = (((((q31_t)x << 16) >> 16) - (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+    s = (((((q31_t)x      ) >> 16) - (((q31_t)y      ) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+
+    return ((uint32_t)((s << 16) | (r      )));
   }
 
+
   /*
    * @brief C custom defined QASX for M3 and M0 processors
    */
-  static __INLINE q31_t __QASX(
-  q31_t x,
-  q31_t y)
+  static __INLINE uint32_t __QASX(
+  uint32_t x,
+  uint32_t y)
   {
-
-    q31_t sum = 0;
-
-    sum =
-      ((sum +
-        clip_q31_to_q15((q31_t) ((short) (x >> 16) + (short) y))) << 16) +
-      clip_q31_to_q15((q31_t) ((short) x - (short) (y >> 16)));
-
-    return sum;
+    q31_t r, s;
+
+    r = __SSAT(((((q31_t)x << 16) >> 16) - (((q31_t)y      ) >> 16)), 16) & (int32_t)0x0000FFFF;
+    s = __SSAT(((((q31_t)x      ) >> 16) + (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF;
+
+    return ((uint32_t)((s << 16) | (r      )));
   }
 
+
   /*
    * @brief C custom defined SHASX for M3 and M0 processors
    */
-  static __INLINE q31_t __SHASX(
-  q31_t x,
-  q31_t y)
+  static __INLINE uint32_t __SHASX(
+  uint32_t x,
+  uint32_t y)
   {
-
-    q31_t sum;
     q31_t r, s;
 
-    r = (short) x;
-    s = (short) y;
-
-    r = ((r >> 1) - (y >> 17));
-    s = (((x >> 17) + (s >> 1)) << 16);
-
-    sum = (s & 0xFFFF0000) | (r & 0x0000FFFF);
-
-    return sum;
+    r = (((((q31_t)x << 16) >> 16) - (((q31_t)y      ) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+    s = (((((q31_t)x      ) >> 16) + (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+
+    return ((uint32_t)((s << 16) | (r      )));
   }
 
 
   /*
    * @brief C custom defined QSAX for M3 and M0 processors
    */
-  static __INLINE q31_t __QSAX(
-  q31_t x,
-  q31_t y)
+  static __INLINE uint32_t __QSAX(
+  uint32_t x,
+  uint32_t y)
   {
-
-    q31_t sum = 0;
-
-    sum =
-      ((sum +
-        clip_q31_to_q15((q31_t) ((short) (x >> 16) - (short) y))) << 16) +
-      clip_q31_to_q15((q31_t) ((short) x + (short) (y >> 16)));
-
-    return sum;
+    q31_t r, s;
+
+    r = __SSAT(((((q31_t)x << 16) >> 16) + (((q31_t)y      ) >> 16)), 16) & (int32_t)0x0000FFFF;
+    s = __SSAT(((((q31_t)x      ) >> 16) - (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF;
+
+    return ((uint32_t)((s << 16) | (r      )));
   }
 
+
   /*
    * @brief C custom defined SHSAX for M3 and M0 processors
    */
-  static __INLINE q31_t __SHSAX(
-  q31_t x,
-  q31_t y)
+  static __INLINE uint32_t __SHSAX(
+  uint32_t x,
+  uint32_t y)
   {
-
-    q31_t sum;
     q31_t r, s;
 
-    r = (short) x;
-    s = (short) y;
-
-    r = ((r >> 1) + (y >> 17));
-    s = (((x >> 17) - (s >> 1)) << 16);
-
-    sum = (s & 0xFFFF0000) | (r & 0x0000FFFF);
-
-    return sum;
+    r = (((((q31_t)x << 16) >> 16) + (((q31_t)y      ) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+    s = (((((q31_t)x      ) >> 16) - (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+
+    return ((uint32_t)((s << 16) | (r      )));
   }
 
+
   /*
    * @brief C custom defined SMUSDX for M3 and M0 processors
    */
-  static __INLINE q31_t __SMUSDX(
-  q31_t x,
-  q31_t y)
+  static __INLINE uint32_t __SMUSDX(
+  uint32_t x,
+  uint32_t y)
   {
-
-    return ((q31_t) (((short) x * (short) (y >> 16)) -
-                     ((short) (x >> 16) * (short) y)));
+    return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y      ) >> 16)) -
+                       ((((q31_t)x      ) >> 16) * (((q31_t)y << 16) >> 16))   ));
   }
 
   /*
    * @brief C custom defined SMUADX for M3 and M0 processors
    */
-  static __INLINE q31_t __SMUADX(
-  q31_t x,
-  q31_t y)
+  static __INLINE uint32_t __SMUADX(
+  uint32_t x,
+  uint32_t y)
   {
-
-    return ((q31_t) (((short) x * (short) (y >> 16)) +
-                     ((short) (x >> 16) * (short) y)));
+    return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y      ) >> 16)) +
+                       ((((q31_t)x      ) >> 16) * (((q31_t)y << 16) >> 16))   ));
   }
 
+
   /*
    * @brief C custom defined QADD for M3 and M0 processors
    */
-  static __INLINE q31_t __QADD(
-  q31_t x,
-  q31_t y)
+  static __INLINE int32_t __QADD(
+  int32_t x,
+  int32_t y)
   {
-    return clip_q63_to_q31((q63_t) x + y);
+    return ((int32_t)(clip_q63_to_q31((q63_t)x + (q31_t)y)));
   }
 
+
   /*
    * @brief C custom defined QSUB for M3 and M0 processors
    */
-  static __INLINE q31_t __QSUB(
-  q31_t x,
-  q31_t y)
+  static __INLINE int32_t __QSUB(
+  int32_t x,
+  int32_t y)
   {
-    return clip_q63_to_q31((q63_t) x - y);
+    return ((int32_t)(clip_q63_to_q31((q63_t)x - (q31_t)y)));
   }
 
+
   /*
    * @brief C custom defined SMLAD for M3 and M0 processors
    */
-  static __INLINE q31_t __SMLAD(
-  q31_t x,
-  q31_t y,
-  q31_t sum)
+  static __INLINE uint32_t __SMLAD(
+  uint32_t x,
+  uint32_t y,
+  uint32_t sum)
   {
-
-    return (sum + ((short) (x >> 16) * (short) (y >> 16)) +
-            ((short) x * (short) y));
+    return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) +
+                       ((((q31_t)x      ) >> 16) * (((q31_t)y      ) >> 16)) +
+                       ( ((q31_t)sum    )                                  )   ));
   }
 
+
   /*
    * @brief C custom defined SMLADX for M3 and M0 processors
    */
-  static __INLINE q31_t __SMLADX(
-  q31_t x,
-  q31_t y,
-  q31_t sum)
+  static __INLINE uint32_t __SMLADX(
+  uint32_t x,
+  uint32_t y,
+  uint32_t sum)
   {
-
-    return (sum + ((short) (x >> 16) * (short) (y)) +
-            ((short) x * (short) (y >> 16)));
+    return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y      ) >> 16)) +
+                       ((((q31_t)x      ) >> 16) * (((q31_t)y << 16) >> 16)) +
+                       ( ((q31_t)sum    )                                  )   ));
   }
 
+
   /*
    * @brief C custom defined SMLSDX for M3 and M0 processors
    */
-  static __INLINE q31_t __SMLSDX(
-  q31_t x,
-  q31_t y,
-  q31_t sum)
+  static __INLINE uint32_t __SMLSDX(
+  uint32_t x,
+  uint32_t y,
+  uint32_t sum)
   {
-
-    return (sum - ((short) (x >> 16) * (short) (y)) +
-            ((short) x * (short) (y >> 16)));
+    return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y      ) >> 16)) -
+                       ((((q31_t)x      ) >> 16) * (((q31_t)y << 16) >> 16)) +
+                       ( ((q31_t)sum    )                                  )   ));
   }
 
+
   /*
    * @brief C custom defined SMLALD for M3 and M0 processors
    */
-  static __INLINE q63_t __SMLALD(
-  q31_t x,
-  q31_t y,
-  q63_t sum)
+  static __INLINE uint64_t __SMLALD(
+  uint32_t x,
+  uint32_t y,
+  uint64_t sum)
   {
-
-    return (sum + ((short) (x >> 16) * (short) (y >> 16)) +
-            ((short) x * (short) y));
+/*  return (sum + ((q15_t) (x >> 16) * (q15_t) (y >> 16)) + ((q15_t) x * (q15_t) y)); */
+    return ((uint64_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) +
+                       ((((q31_t)x      ) >> 16) * (((q31_t)y      ) >> 16)) +
+                       ( ((q63_t)sum    )                                  )   ));
   }
 
+
   /*
    * @brief C custom defined SMLALDX for M3 and M0 processors
    */
-  static __INLINE q63_t __SMLALDX(
-  q31_t x,
-  q31_t y,
-  q63_t sum)
+  static __INLINE uint64_t __SMLALDX(
+  uint32_t x,
+  uint32_t y,
+  uint64_t sum)
   {
-
-    return (sum + ((short) (x >> 16) * (short) y)) +
-      ((short) x * (short) (y >> 16));
+/*  return (sum + ((q15_t) (x >> 16) * (q15_t) y)) + ((q15_t) x * (q15_t) (y >> 16)); */
+    return ((uint64_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y      ) >> 16)) +
+                       ((((q31_t)x      ) >> 16) * (((q31_t)y << 16) >> 16)) +
+                       ( ((q63_t)sum    )                                  )   ));
   }
 
+
   /*
    * @brief C custom defined SMUAD for M3 and M0 processors
    */
-  static __INLINE q31_t __SMUAD(
-  q31_t x,
-  q31_t y)
+  static __INLINE uint32_t __SMUAD(
+  uint32_t x,
+  uint32_t y)
   {
-
-    return (((x >> 16) * (y >> 16)) +
-            (((x << 16) >> 16) * ((y << 16) >> 16)));
+    return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) +
+                       ((((q31_t)x      ) >> 16) * (((q31_t)y      ) >> 16))   ));
   }
 
+
   /*
    * @brief C custom defined SMUSD for M3 and M0 processors
    */
-  static __INLINE q31_t __SMUSD(
-  q31_t x,
-  q31_t y)
+  static __INLINE uint32_t __SMUSD(
+  uint32_t x,
+  uint32_t y)
   {
-
-    return (-((x >> 16) * (y >> 16)) +
-            (((x << 16) >> 16) * ((y << 16) >> 16)));
+    return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) -
+                       ((((q31_t)x      ) >> 16) * (((q31_t)y      ) >> 16))   ));
   }
 
 
   /*
    * @brief C custom defined SXTB16 for M3 and M0 processors
    */
-  static __INLINE q31_t __SXTB16(
-  q31_t x)
+  static __INLINE uint32_t __SXTB16(
+  uint32_t x)
   {
-
-    return ((((x << 24) >> 24) & 0x0000FFFF) |
-            (((x << 8) >> 8) & 0xFFFF0000));
+    return ((uint32_t)(((((q31_t)x << 24) >> 24) & (q31_t)0x0000FFFF) |
+                       ((((q31_t)x <<  8) >>  8) & (q31_t)0xFFFF0000)  ));
   }
 
-
 #endif /* defined (ARM_MATH_CM3) || defined (ARM_MATH_CM0_FAMILY) */
 
 
@@ -1080,11 +1067,10 @@
 
   /**
    * @brief Processing function for the Q7 FIR filter.
-   * @param[in] *S points to an instance of the Q7 FIR filter structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
+   * @param[in]  S          points to an instance of the Q7 FIR filter structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
    */
   void arm_fir_q7(
   const arm_fir_instance_q7 * S,
@@ -1095,12 +1081,11 @@
 
   /**
    * @brief  Initialization function for the Q7 FIR filter.
-   * @param[in,out] *S points to an instance of the Q7 FIR structure.
-   * @param[in] numTaps  Number of filter coefficients in the filter.
-   * @param[in] *pCoeffs points to the filter coefficients.
-   * @param[in] *pState points to the state buffer.
-   * @param[in] blockSize number of samples that are processed.
-   * @return none
+   * @param[in,out] S          points to an instance of the Q7 FIR structure.
+   * @param[in]     numTaps    Number of filter coefficients in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     blockSize  number of samples that are processed.
    */
   void arm_fir_init_q7(
   arm_fir_instance_q7 * S,
@@ -1112,11 +1097,10 @@
 
   /**
    * @brief Processing function for the Q15 FIR filter.
-   * @param[in] *S points to an instance of the Q15 FIR structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
+   * @param[in]  S          points to an instance of the Q15 FIR structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
    */
   void arm_fir_q15(
   const arm_fir_instance_q15 * S,
@@ -1124,13 +1108,13 @@
   q15_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief Processing function for the fast Q15 FIR filter for Cortex-M3 and Cortex-M4.
-   * @param[in] *S points to an instance of the Q15 FIR filter structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
+   * @param[in]  S          points to an instance of the Q15 FIR filter structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
    */
   void arm_fir_fast_q15(
   const arm_fir_instance_q15 * S,
@@ -1138,17 +1122,17 @@
   q15_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief  Initialization function for the Q15 FIR filter.
-   * @param[in,out] *S points to an instance of the Q15 FIR filter structure.
-   * @param[in] numTaps  Number of filter coefficients in the filter. Must be even and greater than or equal to 4.
-   * @param[in] *pCoeffs points to the filter coefficients.
-   * @param[in] *pState points to the state buffer.
-   * @param[in] blockSize number of samples that are processed at a time.
+   * @param[in,out] S          points to an instance of the Q15 FIR filter structure.
+   * @param[in]     numTaps    Number of filter coefficients in the filter. Must be even and greater than or equal to 4.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     blockSize  number of samples that are processed at a time.
    * @return The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_ARGUMENT_ERROR if
    * <code>numTaps</code> is not a supported value.
    */
-
   arm_status arm_fir_init_q15(
   arm_fir_instance_q15 * S,
   uint16_t numTaps,
@@ -1156,13 +1140,13 @@
   q15_t * pState,
   uint32_t blockSize);
 
+
   /**
    * @brief Processing function for the Q31 FIR filter.
-   * @param[in] *S points to an instance of the Q31 FIR filter structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
+   * @param[in]  S          points to an instance of the Q31 FIR filter structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
    */
   void arm_fir_q31(
   const arm_fir_instance_q31 * S,
@@ -1170,13 +1154,13 @@
   q31_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief Processing function for the fast Q31 FIR filter for Cortex-M3 and Cortex-M4.
-   * @param[in] *S points to an instance of the Q31 FIR structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
+   * @param[in]  S          points to an instance of the Q31 FIR structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
    */
   void arm_fir_fast_q31(
   const arm_fir_instance_q31 * S,
@@ -1184,14 +1168,14 @@
   q31_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief  Initialization function for the Q31 FIR filter.
-   * @param[in,out] *S points to an instance of the Q31 FIR structure.
-   * @param[in] 	numTaps  Number of filter coefficients in the filter.
-   * @param[in] 	*pCoeffs points to the filter coefficients.
-   * @param[in] 	*pState points to the state buffer.
-   * @param[in] 	blockSize number of samples that are processed at a time.
-   * @return 		none.
+   * @param[in,out] S          points to an instance of the Q31 FIR structure.
+   * @param[in]     numTaps    Number of filter coefficients in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     blockSize  number of samples that are processed at a time.
    */
   void arm_fir_init_q31(
   arm_fir_instance_q31 * S,
@@ -1200,13 +1184,13 @@
   q31_t * pState,
   uint32_t blockSize);
 
+
   /**
    * @brief Processing function for the floating-point FIR filter.
-   * @param[in] *S points to an instance of the floating-point FIR structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
+   * @param[in]  S          points to an instance of the floating-point FIR structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
    */
   void arm_fir_f32(
   const arm_fir_instance_f32 * S,
@@ -1214,14 +1198,14 @@
   float32_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief  Initialization function for the floating-point FIR filter.
-   * @param[in,out] *S points to an instance of the floating-point FIR filter structure.
-   * @param[in] 	numTaps  Number of filter coefficients in the filter.
-   * @param[in] 	*pCoeffs points to the filter coefficients.
-   * @param[in] 	*pState points to the state buffer.
-   * @param[in] 	blockSize number of samples that are processed at a time.
-   * @return    	none.
+   * @param[in,out] S          points to an instance of the floating-point FIR filter structure.
+   * @param[in]     numTaps    Number of filter coefficients in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     blockSize  number of samples that are processed at a time.
    */
   void arm_fir_init_f32(
   arm_fir_instance_f32 * S,
@@ -1236,14 +1220,12 @@
    */
   typedef struct
   {
-    int8_t numStages;         /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */
-    q15_t *pState;            /**< Points to the array of state coefficients.  The array is of length 4*numStages. */
-    q15_t *pCoeffs;           /**< Points to the array of coefficients.  The array is of length 5*numStages. */
-    int8_t postShift;         /**< Additional shift, in bits, applied to each output sample. */
-
+    int8_t numStages;        /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */
+    q15_t *pState;           /**< Points to the array of state coefficients.  The array is of length 4*numStages. */
+    q15_t *pCoeffs;          /**< Points to the array of coefficients.  The array is of length 5*numStages. */
+    int8_t postShift;        /**< Additional shift, in bits, applied to each output sample. */
   } arm_biquad_casd_df1_inst_q15;
 
-
   /**
    * @brief Instance structure for the Q31 Biquad cascade filter.
    */
@@ -1253,7 +1235,6 @@
     q31_t *pState;           /**< Points to the array of state coefficients.  The array is of length 4*numStages. */
     q31_t *pCoeffs;          /**< Points to the array of coefficients.  The array is of length 5*numStages. */
     uint8_t postShift;       /**< Additional shift, in bits, applied to each output sample. */
-
   } arm_biquad_casd_df1_inst_q31;
 
   /**
@@ -1261,40 +1242,34 @@
    */
   typedef struct
   {
-    uint32_t numStages;         /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */
-    float32_t *pState;          /**< Points to the array of state coefficients.  The array is of length 4*numStages. */
-    float32_t *pCoeffs;         /**< Points to the array of coefficients.  The array is of length 5*numStages. */
-
-
+    uint32_t numStages;      /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */
+    float32_t *pState;       /**< Points to the array of state coefficients.  The array is of length 4*numStages. */
+    float32_t *pCoeffs;      /**< Points to the array of coefficients.  The array is of length 5*numStages. */
   } arm_biquad_casd_df1_inst_f32;
 
 
-
   /**
    * @brief Processing function for the Q15 Biquad cascade filter.
-   * @param[in]  *S points to an instance of the Q15 Biquad cascade structure.
-   * @param[in]  *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data.
-   * @param[in]  blockSize number of samples to process.
-   * @return     none.
-   */
-
+   * @param[in]  S          points to an instance of the Q15 Biquad cascade structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
+   */
   void arm_biquad_cascade_df1_q15(
   const arm_biquad_casd_df1_inst_q15 * S,
   q15_t * pSrc,
   q15_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief  Initialization function for the Q15 Biquad cascade filter.
-   * @param[in,out] *S           points to an instance of the Q15 Biquad cascade structure.
-   * @param[in]     numStages    number of 2nd order stages in the filter.
-   * @param[in]     *pCoeffs     points to the filter coefficients.
-   * @param[in]     *pState      points to the state buffer.
-   * @param[in]     postShift    Shift to be applied to the output. Varies according to the coefficients format
-   * @return        none
-   */
-
+   * @param[in,out] S          points to an instance of the Q15 Biquad cascade structure.
+   * @param[in]     numStages  number of 2nd order stages in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     postShift  Shift to be applied to the output. Varies according to the coefficients format
+   */
   void arm_biquad_cascade_df1_init_q15(
   arm_biquad_casd_df1_inst_q15 * S,
   uint8_t numStages,
@@ -1305,13 +1280,11 @@
 
   /**
    * @brief Fast but less precise processing function for the Q15 Biquad cascade filter for Cortex-M3 and Cortex-M4.
-   * @param[in]  *S points to an instance of the Q15 Biquad cascade structure.
-   * @param[in]  *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data.
-   * @param[in]  blockSize number of samples to process.
-   * @return     none.
-   */
-
+   * @param[in]  S          points to an instance of the Q15 Biquad cascade structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
+   */
   void arm_biquad_cascade_df1_fast_q15(
   const arm_biquad_casd_df1_inst_q15 * S,
   q15_t * pSrc,
@@ -1321,44 +1294,40 @@
 
   /**
    * @brief Processing function for the Q31 Biquad cascade filter
-   * @param[in]  *S         points to an instance of the Q31 Biquad cascade structure.
-   * @param[in]  *pSrc      points to the block of input data.
-   * @param[out] *pDst      points to the block of output data.
+   * @param[in]  S          points to an instance of the Q31 Biquad cascade structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
    * @param[in]  blockSize  number of samples to process.
-   * @return     none.
-   */
-
+   */
   void arm_biquad_cascade_df1_q31(
   const arm_biquad_casd_df1_inst_q31 * S,
   q31_t * pSrc,
   q31_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief Fast but less precise processing function for the Q31 Biquad cascade filter for Cortex-M3 and Cortex-M4.
-   * @param[in]  *S         points to an instance of the Q31 Biquad cascade structure.
-   * @param[in]  *pSrc      points to the block of input data.
-   * @param[out] *pDst      points to the block of output data.
+   * @param[in]  S          points to an instance of the Q31 Biquad cascade structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
    * @param[in]  blockSize  number of samples to process.
-   * @return     none.
-   */
-
+   */
   void arm_biquad_cascade_df1_fast_q31(
   const arm_biquad_casd_df1_inst_q31 * S,
   q31_t * pSrc,
   q31_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief  Initialization function for the Q31 Biquad cascade filter.
-   * @param[in,out] *S           points to an instance of the Q31 Biquad cascade structure.
-   * @param[in]     numStages      number of 2nd order stages in the filter.
-   * @param[in]     *pCoeffs     points to the filter coefficients.
-   * @param[in]     *pState      points to the state buffer.
-   * @param[in]     postShift    Shift to be applied to the output. Varies according to the coefficients format
-   * @return        none
-   */
-
+   * @param[in,out] S          points to an instance of the Q31 Biquad cascade structure.
+   * @param[in]     numStages  number of 2nd order stages in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     postShift  Shift to be applied to the output. Varies according to the coefficients format
+   */
   void arm_biquad_cascade_df1_init_q31(
   arm_biquad_casd_df1_inst_q31 * S,
   uint8_t numStages,
@@ -1366,30 +1335,28 @@
   q31_t * pState,
   int8_t postShift);
 
+
   /**
    * @brief Processing function for the floating-point Biquad cascade filter.
-   * @param[in]  *S         points to an instance of the floating-point Biquad cascade structure.
-   * @param[in]  *pSrc      points to the block of input data.
-   * @param[out] *pDst      points to the block of output data.
+   * @param[in]  S          points to an instance of the floating-point Biquad cascade structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
    * @param[in]  blockSize  number of samples to process.
-   * @return     none.
-   */
-
+   */
   void arm_biquad_cascade_df1_f32(
   const arm_biquad_casd_df1_inst_f32 * S,
   float32_t * pSrc,
   float32_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief  Initialization function for the floating-point Biquad cascade filter.
-   * @param[in,out] *S           points to an instance of the floating-point Biquad cascade structure.
-   * @param[in]     numStages    number of 2nd order stages in the filter.
-   * @param[in]     *pCoeffs     points to the filter coefficients.
-   * @param[in]     *pState      points to the state buffer.
-   * @return        none
-   */
-
+   * @param[in,out] S          points to an instance of the floating-point Biquad cascade structure.
+   * @param[in]     numStages  number of 2nd order stages in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   */
   void arm_biquad_cascade_df1_init_f32(
   arm_biquad_casd_df1_inst_f32 * S,
   uint8_t numStages,
@@ -1400,7 +1367,6 @@
   /**
    * @brief Instance structure for the floating-point matrix structure.
    */
-
   typedef struct
   {
     uint16_t numRows;     /**< number of rows of the matrix.     */
@@ -1408,70 +1374,118 @@
     float32_t *pData;     /**< points to the data of the matrix. */
   } arm_matrix_instance_f32;
 
+
+  /**
+   * @brief Instance structure for the floating-point matrix structure.
+   */
+  typedef struct
+  {
+    uint16_t numRows;     /**< number of rows of the matrix.     */
+    uint16_t numCols;     /**< number of columns of the matrix.  */
+    float64_t *pData;     /**< points to the data of the matrix. */
+  } arm_matrix_instance_f64;
+
   /**
    * @brief Instance structure for the Q15 matrix structure.
    */
-
   typedef struct
   {
     uint16_t numRows;     /**< number of rows of the matrix.     */
     uint16_t numCols;     /**< number of columns of the matrix.  */
     q15_t *pData;         /**< points to the data of the matrix. */
-
   } arm_matrix_instance_q15;
 
   /**
    * @brief Instance structure for the Q31 matrix structure.
    */
-
   typedef struct
   {
     uint16_t numRows;     /**< number of rows of the matrix.     */
     uint16_t numCols;     /**< number of columns of the matrix.  */
     q31_t *pData;         /**< points to the data of the matrix. */
-
   } arm_matrix_instance_q31;
 
 
-
   /**
    * @brief Floating-point matrix addition.
-   * @param[in]       *pSrcA points to the first input matrix structure
-   * @param[in]       *pSrcB points to the second input matrix structure
-   * @param[out]      *pDst points to output matrix structure
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
    * @return     The function returns either
    * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
    */
-
   arm_status arm_mat_add_f32(
   const arm_matrix_instance_f32 * pSrcA,
   const arm_matrix_instance_f32 * pSrcB,
   arm_matrix_instance_f32 * pDst);
 
+
   /**
    * @brief Q15 matrix addition.
-   * @param[in]       *pSrcA points to the first input matrix structure
-   * @param[in]       *pSrcB points to the second input matrix structure
-   * @param[out]      *pDst points to output matrix structure
+   * @param[in]   pSrcA  points to the first input matrix structure
+   * @param[in]   pSrcB  points to the second input matrix structure
+   * @param[out]  pDst   points to output matrix structure
    * @return     The function returns either
    * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
    */
-
   arm_status arm_mat_add_q15(
   const arm_matrix_instance_q15 * pSrcA,
   const arm_matrix_instance_q15 * pSrcB,
   arm_matrix_instance_q15 * pDst);
 
+
   /**
    * @brief Q31 matrix addition.
-   * @param[in]       *pSrcA points to the first input matrix structure
-   * @param[in]       *pSrcB points to the second input matrix structure
-   * @param[out]      *pDst points to output matrix structure
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+  arm_status arm_mat_add_q31(
+  const arm_matrix_instance_q31 * pSrcA,
+  const arm_matrix_instance_q31 * pSrcB,
+  arm_matrix_instance_q31 * pDst);
+
+
+  /**
+   * @brief Floating-point, complex, matrix multiplication.
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
    * @return     The function returns either
    * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
    */
-
-  arm_status arm_mat_add_q31(
+  arm_status arm_mat_cmplx_mult_f32(
+  const arm_matrix_instance_f32 * pSrcA,
+  const arm_matrix_instance_f32 * pSrcB,
+  arm_matrix_instance_f32 * pDst);
+
+
+  /**
+   * @brief Q15, complex,  matrix multiplication.
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+  arm_status arm_mat_cmplx_mult_q15(
+  const arm_matrix_instance_q15 * pSrcA,
+  const arm_matrix_instance_q15 * pSrcB,
+  arm_matrix_instance_q15 * pDst,
+  q15_t * pScratch);
+
+
+  /**
+   * @brief Q31, complex, matrix multiplication.
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+  arm_status arm_mat_cmplx_mult_q31(
   const arm_matrix_instance_q31 * pSrcA,
   const arm_matrix_instance_q31 * pSrcB,
   arm_matrix_instance_q31 * pDst);
@@ -1479,12 +1493,11 @@
 
   /**
    * @brief Floating-point matrix transpose.
-   * @param[in]  *pSrc points to the input matrix
-   * @param[out] *pDst points to the output matrix
-   * @return 	The function returns either  <code>ARM_MATH_SIZE_MISMATCH</code>
+   * @param[in]  pSrc  points to the input matrix
+   * @param[out] pDst  points to the output matrix
+   * @return    The function returns either  <code>ARM_MATH_SIZE_MISMATCH</code>
    * or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
    */
-
   arm_status arm_mat_trans_f32(
   const arm_matrix_instance_f32 * pSrc,
   arm_matrix_instance_f32 * pDst);
@@ -1492,24 +1505,23 @@
 
   /**
    * @brief Q15 matrix transpose.
-   * @param[in]  *pSrc points to the input matrix
-   * @param[out] *pDst points to the output matrix
-   * @return 	The function returns either  <code>ARM_MATH_SIZE_MISMATCH</code>
+   * @param[in]  pSrc  points to the input matrix
+   * @param[out] pDst  points to the output matrix
+   * @return    The function returns either  <code>ARM_MATH_SIZE_MISMATCH</code>
    * or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
    */
-
   arm_status arm_mat_trans_q15(
   const arm_matrix_instance_q15 * pSrc,
   arm_matrix_instance_q15 * pDst);
 
+
   /**
    * @brief Q31 matrix transpose.
-   * @param[in]  *pSrc points to the input matrix
-   * @param[out] *pDst points to the output matrix
-   * @return 	The function returns either  <code>ARM_MATH_SIZE_MISMATCH</code>
+   * @param[in]  pSrc  points to the input matrix
+   * @param[out] pDst  points to the output matrix
+   * @return    The function returns either  <code>ARM_MATH_SIZE_MISMATCH</code>
    * or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
    */
-
   arm_status arm_mat_trans_q31(
   const arm_matrix_instance_q31 * pSrc,
   arm_matrix_instance_q31 * pDst);
@@ -1517,73 +1529,72 @@
 
   /**
    * @brief Floating-point matrix multiplication
-   * @param[in]       *pSrcA points to the first input matrix structure
-   * @param[in]       *pSrcB points to the second input matrix structure
-   * @param[out]      *pDst points to output matrix structure
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
    * @return     The function returns either
    * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
    */
-
   arm_status arm_mat_mult_f32(
   const arm_matrix_instance_f32 * pSrcA,
   const arm_matrix_instance_f32 * pSrcB,
   arm_matrix_instance_f32 * pDst);
 
+
   /**
    * @brief Q15 matrix multiplication
-   * @param[in]       *pSrcA points to the first input matrix structure
-   * @param[in]       *pSrcB points to the second input matrix structure
-   * @param[out]      *pDst points to output matrix structure
-   * @param[in]		  *pState points to the array for storing intermediate results
+   * @param[in]  pSrcA   points to the first input matrix structure
+   * @param[in]  pSrcB   points to the second input matrix structure
+   * @param[out] pDst    points to output matrix structure
+   * @param[in]  pState  points to the array for storing intermediate results
    * @return     The function returns either
    * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
    */
-
   arm_status arm_mat_mult_q15(
   const arm_matrix_instance_q15 * pSrcA,
   const arm_matrix_instance_q15 * pSrcB,
   arm_matrix_instance_q15 * pDst,
   q15_t * pState);
 
+
   /**
    * @brief Q15 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4
-   * @param[in]       *pSrcA  points to the first input matrix structure
-   * @param[in]       *pSrcB  points to the second input matrix structure
-   * @param[out]      *pDst   points to output matrix structure
-   * @param[in]		  *pState points to the array for storing intermediate results
+   * @param[in]  pSrcA   points to the first input matrix structure
+   * @param[in]  pSrcB   points to the second input matrix structure
+   * @param[out] pDst    points to output matrix structure
+   * @param[in]  pState  points to the array for storing intermediate results
    * @return     The function returns either
    * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
    */
-
   arm_status arm_mat_mult_fast_q15(
   const arm_matrix_instance_q15 * pSrcA,
   const arm_matrix_instance_q15 * pSrcB,
   arm_matrix_instance_q15 * pDst,
   q15_t * pState);
 
+
   /**
    * @brief Q31 matrix multiplication
-   * @param[in]       *pSrcA points to the first input matrix structure
-   * @param[in]       *pSrcB points to the second input matrix structure
-   * @param[out]      *pDst points to output matrix structure
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
    * @return     The function returns either
    * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
    */
-
   arm_status arm_mat_mult_q31(
   const arm_matrix_instance_q31 * pSrcA,
   const arm_matrix_instance_q31 * pSrcB,
   arm_matrix_instance_q31 * pDst);
 
+
   /**
    * @brief Q31 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4
-   * @param[in]       *pSrcA points to the first input matrix structure
-   * @param[in]       *pSrcB points to the second input matrix structure
-   * @param[out]      *pDst points to output matrix structure
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
    * @return     The function returns either
    * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
    */
-
   arm_status arm_mat_mult_fast_q31(
   const arm_matrix_instance_q31 * pSrcA,
   const arm_matrix_instance_q31 * pSrcB,
@@ -1592,86 +1603,85 @@
 
   /**
    * @brief Floating-point matrix subtraction
-   * @param[in]       *pSrcA points to the first input matrix structure
-   * @param[in]       *pSrcB points to the second input matrix structure
-   * @param[out]      *pDst points to output matrix structure
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
    * @return     The function returns either
    * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
    */
-
   arm_status arm_mat_sub_f32(
   const arm_matrix_instance_f32 * pSrcA,
   const arm_matrix_instance_f32 * pSrcB,
   arm_matrix_instance_f32 * pDst);
 
+
   /**
    * @brief Q15 matrix subtraction
-   * @param[in]       *pSrcA points to the first input matrix structure
-   * @param[in]       *pSrcB points to the second input matrix structure
-   * @param[out]      *pDst points to output matrix structure
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
    * @return     The function returns either
    * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
    */
-
   arm_status arm_mat_sub_q15(
   const arm_matrix_instance_q15 * pSrcA,
   const arm_matrix_instance_q15 * pSrcB,
   arm_matrix_instance_q15 * pDst);
 
+
   /**
    * @brief Q31 matrix subtraction
-   * @param[in]       *pSrcA points to the first input matrix structure
-   * @param[in]       *pSrcB points to the second input matrix structure
-   * @param[out]      *pDst points to output matrix structure
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
    * @return     The function returns either
    * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
    */
-
   arm_status arm_mat_sub_q31(
   const arm_matrix_instance_q31 * pSrcA,
   const arm_matrix_instance_q31 * pSrcB,
   arm_matrix_instance_q31 * pDst);
 
+
   /**
    * @brief Floating-point matrix scaling.
-   * @param[in]  *pSrc points to the input matrix
-   * @param[in]  scale scale factor
-   * @param[out] *pDst points to the output matrix
+   * @param[in]  pSrc   points to the input matrix
+   * @param[in]  scale  scale factor
+   * @param[out] pDst   points to the output matrix
    * @return     The function returns either
    * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
    */
-
   arm_status arm_mat_scale_f32(
   const arm_matrix_instance_f32 * pSrc,
   float32_t scale,
   arm_matrix_instance_f32 * pDst);
 
+
   /**
    * @brief Q15 matrix scaling.
-   * @param[in]       *pSrc points to input matrix
-   * @param[in]       scaleFract fractional portion of the scale factor
-   * @param[in]       shift number of bits to shift the result by
-   * @param[out]      *pDst points to output matrix
+   * @param[in]  pSrc        points to input matrix
+   * @param[in]  scaleFract  fractional portion of the scale factor
+   * @param[in]  shift       number of bits to shift the result by
+   * @param[out] pDst        points to output matrix
    * @return     The function returns either
    * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
    */
-
   arm_status arm_mat_scale_q15(
   const arm_matrix_instance_q15 * pSrc,
   q15_t scaleFract,
   int32_t shift,
   arm_matrix_instance_q15 * pDst);
 
+
   /**
    * @brief Q31 matrix scaling.
-   * @param[in]       *pSrc points to input matrix
-   * @param[in]       scaleFract fractional portion of the scale factor
-   * @param[in]       shift number of bits to shift the result by
-   * @param[out]      *pDst points to output matrix structure
+   * @param[in]  pSrc        points to input matrix
+   * @param[in]  scaleFract  fractional portion of the scale factor
+   * @param[in]  shift       number of bits to shift the result by
+   * @param[out] pDst        points to output matrix structure
    * @return     The function returns either
    * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
    */
-
   arm_status arm_mat_scale_q31(
   const arm_matrix_instance_q31 * pSrc,
   q31_t scaleFract,
@@ -1681,43 +1691,39 @@
 
   /**
    * @brief  Q31 matrix initialization.
-   * @param[in,out] *S             points to an instance of the floating-point matrix structure.
-   * @param[in]     nRows          number of rows in the matrix.
-   * @param[in]     nColumns       number of columns in the matrix.
-   * @param[in]     *pData	       points to the matrix data array.
-   * @return        none
-   */
-
+   * @param[in,out] S         points to an instance of the floating-point matrix structure.
+   * @param[in]     nRows     number of rows in the matrix.
+   * @param[in]     nColumns  number of columns in the matrix.
+   * @param[in]     pData     points to the matrix data array.
+   */
   void arm_mat_init_q31(
   arm_matrix_instance_q31 * S,
   uint16_t nRows,
   uint16_t nColumns,
   q31_t * pData);
 
+
   /**
    * @brief  Q15 matrix initialization.
-   * @param[in,out] *S             points to an instance of the floating-point matrix structure.
-   * @param[in]     nRows          number of rows in the matrix.
-   * @param[in]     nColumns       number of columns in the matrix.
-   * @param[in]     *pData	       points to the matrix data array.
-   * @return        none
-   */
-
+   * @param[in,out] S         points to an instance of the floating-point matrix structure.
+   * @param[in]     nRows     number of rows in the matrix.
+   * @param[in]     nColumns  number of columns in the matrix.
+   * @param[in]     pData     points to the matrix data array.
+   */
   void arm_mat_init_q15(
   arm_matrix_instance_q15 * S,
   uint16_t nRows,
   uint16_t nColumns,
   q15_t * pData);
 
+
   /**
    * @brief  Floating-point matrix initialization.
-   * @param[in,out] *S             points to an instance of the floating-point matrix structure.
-   * @param[in]     nRows          number of rows in the matrix.
-   * @param[in]     nColumns       number of columns in the matrix.
-   * @param[in]     *pData	       points to the matrix data array.
-   * @return        none
-   */
-
+   * @param[in,out] S         points to an instance of the floating-point matrix structure.
+   * @param[in]     nRows     number of rows in the matrix.
+   * @param[in]     nColumns  number of columns in the matrix.
+   * @param[in]     pData     points to the matrix data array.
+   */
   void arm_mat_init_f32(
   arm_matrix_instance_f32 * S,
   uint16_t nRows,
@@ -1731,14 +1737,14 @@
    */
   typedef struct
   {
-    q15_t A0;    /**< The derived gain, A0 = Kp + Ki + Kd . */
+    q15_t A0;           /**< The derived gain, A0 = Kp + Ki + Kd . */
 #ifdef ARM_MATH_CM0_FAMILY
     q15_t A1;
     q15_t A2;
 #else
     q31_t A1;           /**< The derived gain A1 = -Kp - 2Kd | Kd.*/
 #endif
-    q15_t state[3];       /**< The state array of length 3. */
+    q15_t state[3];     /**< The state array of length 3. */
     q15_t Kp;           /**< The proportional gain. */
     q15_t Ki;           /**< The integral gain. */
     q15_t Kd;           /**< The derivative gain. */
@@ -1756,7 +1762,6 @@
     q31_t Kp;            /**< The proportional gain. */
     q31_t Ki;            /**< The integral gain. */
     q31_t Kd;            /**< The derivative gain. */
-
   } arm_pid_instance_q31;
 
   /**
@@ -1768,27 +1773,26 @@
     float32_t A1;          /**< The derived gain, A1 = -Kp - 2Kd. */
     float32_t A2;          /**< The derived gain, A2 = Kd . */
     float32_t state[3];    /**< The state array of length 3. */
-    float32_t Kp;               /**< The proportional gain. */
-    float32_t Ki;               /**< The integral gain. */
-    float32_t Kd;               /**< The derivative gain. */
+    float32_t Kp;          /**< The proportional gain. */
+    float32_t Ki;          /**< The integral gain. */
+    float32_t Kd;          /**< The derivative gain. */
   } arm_pid_instance_f32;
 
 
 
   /**
    * @brief  Initialization function for the floating-point PID Control.
-   * @param[in,out] *S      points to an instance of the PID structure.
+   * @param[in,out] S               points to an instance of the PID structure.
    * @param[in]     resetStateFlag  flag to reset the state. 0 = no change in state 1 = reset the state.
-   * @return none.
    */
   void arm_pid_init_f32(
   arm_pid_instance_f32 * S,
   int32_t resetStateFlag);
 
+
   /**
    * @brief  Reset function for the floating-point PID Control.
-   * @param[in,out] *S is an instance of the floating-point PID Control structure
-   * @return none
+   * @param[in,out] S  is an instance of the floating-point PID Control structure
    */
   void arm_pid_reset_f32(
   arm_pid_instance_f32 * S);
@@ -1796,9 +1800,8 @@
 
   /**
    * @brief  Initialization function for the Q31 PID Control.
-   * @param[in,out] *S points to an instance of the Q15 PID structure.
+   * @param[in,out] S               points to an instance of the Q15 PID structure.
    * @param[in]     resetStateFlag  flag to reset the state. 0 = no change in state 1 = reset the state.
-   * @return none.
    */
   void arm_pid_init_q31(
   arm_pid_instance_q31 * S,
@@ -1807,27 +1810,26 @@
 
   /**
    * @brief  Reset function for the Q31 PID Control.
-   * @param[in,out] *S points to an instance of the Q31 PID Control structure
-   * @return none
+   * @param[in,out] S   points to an instance of the Q31 PID Control structure
    */
 
   void arm_pid_reset_q31(
   arm_pid_instance_q31 * S);
 
+
   /**
    * @brief  Initialization function for the Q15 PID Control.
-   * @param[in,out] *S points to an instance of the Q15 PID structure.
-   * @param[in] resetStateFlag  flag to reset the state. 0 = no change in state 1 = reset the state.
-   * @return none.
+   * @param[in,out] S               points to an instance of the Q15 PID structure.
+   * @param[in]     resetStateFlag  flag to reset the state. 0 = no change in state 1 = reset the state.
    */
   void arm_pid_init_q15(
   arm_pid_instance_q15 * S,
   int32_t resetStateFlag);
 
+
   /**
    * @brief  Reset function for the Q15 PID Control.
-   * @param[in,out] *S points to an instance of the q15 PID Control structure
-   * @return none
+   * @param[in,out] S  points to an instance of the q15 PID Control structure
    */
   void arm_pid_reset_q15(
   arm_pid_instance_q15 * S);
@@ -1847,7 +1849,6 @@
   /**
    * @brief Instance structure for the floating-point bilinear interpolation function.
    */
-
   typedef struct
   {
     uint16_t numRows;   /**< number of rows in the data table. */
@@ -1858,7 +1859,6 @@
    /**
    * @brief Instance structure for the Q31 bilinear interpolation function.
    */
-
   typedef struct
   {
     uint16_t numRows;   /**< number of rows in the data table. */
@@ -1869,7 +1869,6 @@
    /**
    * @brief Instance structure for the Q15 bilinear interpolation function.
    */
-
   typedef struct
   {
     uint16_t numRows;   /**< number of rows in the data table. */
@@ -1880,69 +1879,63 @@
    /**
    * @brief Instance structure for the Q15 bilinear interpolation function.
    */
-
   typedef struct
   {
     uint16_t numRows;   /**< number of rows in the data table. */
     uint16_t numCols;   /**< number of columns in the data table. */
-    q7_t *pData;                /**< points to the data table. */
+    q7_t *pData;        /**< points to the data table. */
   } arm_bilinear_interp_instance_q7;
 
 
   /**
    * @brief Q7 vector multiplication.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[out]      *pDst  points to the output vector
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
   void arm_mult_q7(
   q7_t * pSrcA,
   q7_t * pSrcB,
   q7_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief Q15 vector multiplication.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[out]      *pDst  points to the output vector
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
   void arm_mult_q15(
   q15_t * pSrcA,
   q15_t * pSrcB,
   q15_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief Q31 vector multiplication.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
   void arm_mult_q31(
   q31_t * pSrcA,
   q31_t * pSrcB,
   q31_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief Floating-point vector multiplication.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
   void arm_mult_f32(
   float32_t * pSrcA,
   float32_t * pSrcB,
@@ -1950,41 +1943,36 @@
   uint32_t blockSize);
 
 
-
-
-
-
   /**
    * @brief Instance structure for the Q15 CFFT/CIFFT function.
    */
-
   typedef struct
   {
     uint16_t fftLen;                 /**< length of the FFT. */
     uint8_t ifftFlag;                /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
     uint8_t bitReverseFlag;          /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
-    q15_t *pTwiddle;                     /**< points to the Sin twiddle factor table. */
+    q15_t *pTwiddle;                 /**< points to the Sin twiddle factor table. */
     uint16_t *pBitRevTable;          /**< points to the bit reversal table. */
     uint16_t twidCoefModifier;       /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
     uint16_t bitRevFactor;           /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
   } arm_cfft_radix2_instance_q15;
 
+/* Deprecated */
   arm_status arm_cfft_radix2_init_q15(
   arm_cfft_radix2_instance_q15 * S,
   uint16_t fftLen,
   uint8_t ifftFlag,
   uint8_t bitReverseFlag);
 
+/* Deprecated */
   void arm_cfft_radix2_q15(
   const arm_cfft_radix2_instance_q15 * S,
   q15_t * pSrc);
 
 
-
   /**
    * @brief Instance structure for the Q15 CFFT/CIFFT function.
    */
-
   typedef struct
   {
     uint16_t fftLen;                 /**< length of the FFT. */
@@ -1996,12 +1984,14 @@
     uint16_t bitRevFactor;           /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
   } arm_cfft_radix4_instance_q15;
 
+/* Deprecated */
   arm_status arm_cfft_radix4_init_q15(
   arm_cfft_radix4_instance_q15 * S,
   uint16_t fftLen,
   uint8_t ifftFlag,
   uint8_t bitReverseFlag);
 
+/* Deprecated */
   void arm_cfft_radix4_q15(
   const arm_cfft_radix4_instance_q15 * S,
   q15_t * pSrc);
@@ -2009,24 +1999,25 @@
   /**
    * @brief Instance structure for the Radix-2 Q31 CFFT/CIFFT function.
    */
-
   typedef struct
   {
     uint16_t fftLen;                 /**< length of the FFT. */
     uint8_t ifftFlag;                /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
     uint8_t bitReverseFlag;          /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
-    q31_t *pTwiddle;                     /**< points to the Twiddle factor table. */
+    q31_t *pTwiddle;                 /**< points to the Twiddle factor table. */
     uint16_t *pBitRevTable;          /**< points to the bit reversal table. */
     uint16_t twidCoefModifier;       /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
     uint16_t bitRevFactor;           /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
   } arm_cfft_radix2_instance_q31;
 
+/* Deprecated */
   arm_status arm_cfft_radix2_init_q31(
   arm_cfft_radix2_instance_q31 * S,
   uint16_t fftLen,
   uint8_t ifftFlag,
   uint8_t bitReverseFlag);
 
+/* Deprecated */
   void arm_cfft_radix2_q31(
   const arm_cfft_radix2_instance_q31 * S,
   q31_t * pSrc);
@@ -2034,7 +2025,6 @@
   /**
    * @brief Instance structure for the Q31 CFFT/CIFFT function.
    */
-
   typedef struct
   {
     uint16_t fftLen;                 /**< length of the FFT. */
@@ -2046,11 +2036,12 @@
     uint16_t bitRevFactor;           /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
   } arm_cfft_radix4_instance_q31;
 
-
+/* Deprecated */
   void arm_cfft_radix4_q31(
   const arm_cfft_radix4_instance_q31 * S,
   q31_t * pSrc);
 
+/* Deprecated */
   arm_status arm_cfft_radix4_init_q31(
   arm_cfft_radix4_instance_q31 * S,
   uint16_t fftLen,
@@ -2060,7 +2051,6 @@
   /**
    * @brief Instance structure for the floating-point CFFT/CIFFT function.
    */
-
   typedef struct
   {
     uint16_t fftLen;                   /**< length of the FFT. */
@@ -2070,7 +2060,7 @@
     uint16_t *pBitRevTable;            /**< points to the bit reversal table. */
     uint16_t twidCoefModifier;         /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
     uint16_t bitRevFactor;             /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
-    float32_t onebyfftLen;                 /**< value of 1/fftLen. */
+    float32_t onebyfftLen;             /**< value of 1/fftLen. */
   } arm_cfft_radix2_instance_f32;
 
 /* Deprecated */
@@ -2088,7 +2078,6 @@
   /**
    * @brief Instance structure for the floating-point CFFT/CIFFT function.
    */
-
   typedef struct
   {
     uint16_t fftLen;                   /**< length of the FFT. */
@@ -2098,7 +2087,7 @@
     uint16_t *pBitRevTable;            /**< points to the bit reversal table. */
     uint16_t twidCoefModifier;         /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
     uint16_t bitRevFactor;             /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
-    float32_t onebyfftLen;                 /**< value of 1/fftLen. */
+    float32_t onebyfftLen;             /**< value of 1/fftLen. */
   } arm_cfft_radix4_instance_f32;
 
 /* Deprecated */
@@ -2114,9 +2103,42 @@
   float32_t * pSrc);
 
   /**
+   * @brief Instance structure for the fixed-point CFFT/CIFFT function.
+   */
+  typedef struct
+  {
+    uint16_t fftLen;                   /**< length of the FFT. */
+    const q15_t *pTwiddle;             /**< points to the Twiddle factor table. */
+    const uint16_t *pBitRevTable;      /**< points to the bit reversal table. */
+    uint16_t bitRevLength;             /**< bit reversal table length. */
+  } arm_cfft_instance_q15;
+
+void arm_cfft_q15(
+    const arm_cfft_instance_q15 * S,
+    q15_t * p1,
+    uint8_t ifftFlag,
+    uint8_t bitReverseFlag);
+
+  /**
+   * @brief Instance structure for the fixed-point CFFT/CIFFT function.
+   */
+  typedef struct
+  {
+    uint16_t fftLen;                   /**< length of the FFT. */
+    const q31_t *pTwiddle;             /**< points to the Twiddle factor table. */
+    const uint16_t *pBitRevTable;      /**< points to the bit reversal table. */
+    uint16_t bitRevLength;             /**< bit reversal table length. */
+  } arm_cfft_instance_q31;
+
+void arm_cfft_q31(
+    const arm_cfft_instance_q31 * S,
+    q31_t * p1,
+    uint8_t ifftFlag,
+    uint8_t bitReverseFlag);
+
+  /**
    * @brief Instance structure for the floating-point CFFT/CIFFT function.
    */
-
   typedef struct
   {
     uint16_t fftLen;                   /**< length of the FFT. */
@@ -2134,22 +2156,19 @@
   /**
    * @brief Instance structure for the Q15 RFFT/RIFFT function.
    */
-
   typedef struct
   {
     uint32_t fftLenReal;                      /**< length of the real FFT. */
-    uint32_t fftLenBy2;                       /**< length of the complex FFT. */
     uint8_t ifftFlagR;                        /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */
-    uint8_t bitReverseFlagR;                      /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */
+    uint8_t bitReverseFlagR;                  /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */
     uint32_t twidCoefRModifier;               /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
     q15_t *pTwiddleAReal;                     /**< points to the real twiddle factor table. */
     q15_t *pTwiddleBReal;                     /**< points to the imag twiddle factor table. */
-    arm_cfft_radix4_instance_q15 *pCfft;          /**< points to the complex FFT instance. */
+    const arm_cfft_instance_q15 *pCfft;       /**< points to the complex FFT instance. */
   } arm_rfft_instance_q15;
 
   arm_status arm_rfft_init_q15(
   arm_rfft_instance_q15 * S,
-  arm_cfft_radix4_instance_q15 * S_CFFT,
   uint32_t fftLenReal,
   uint32_t ifftFlagR,
   uint32_t bitReverseFlag);
@@ -2162,22 +2181,19 @@
   /**
    * @brief Instance structure for the Q31 RFFT/RIFFT function.
    */
-
   typedef struct
   {
     uint32_t fftLenReal;                        /**< length of the real FFT. */
-    uint32_t fftLenBy2;                         /**< length of the complex FFT. */
     uint8_t ifftFlagR;                          /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */
-    uint8_t bitReverseFlagR;                        /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */
+    uint8_t bitReverseFlagR;                    /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */
     uint32_t twidCoefRModifier;                 /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
     q31_t *pTwiddleAReal;                       /**< points to the real twiddle factor table. */
     q31_t *pTwiddleBReal;                       /**< points to the imag twiddle factor table. */
-    arm_cfft_radix4_instance_q31 *pCfft;        /**< points to the complex FFT instance. */
+    const arm_cfft_instance_q31 *pCfft;         /**< points to the complex FFT instance. */
   } arm_rfft_instance_q31;
 
   arm_status arm_rfft_init_q31(
   arm_rfft_instance_q31 * S,
-  arm_cfft_radix4_instance_q31 * S_CFFT,
   uint32_t fftLenReal,
   uint32_t ifftFlagR,
   uint32_t bitReverseFlag);
@@ -2190,7 +2206,6 @@
   /**
    * @brief Instance structure for the floating-point RFFT/RIFFT function.
    */
-
   typedef struct
   {
     uint32_t fftLenReal;                        /**< length of the real FFT. */
@@ -2218,17 +2233,16 @@
   /**
    * @brief Instance structure for the floating-point RFFT/RIFFT function.
    */
-
 typedef struct
   {
     arm_cfft_instance_f32 Sint;      /**< Internal CFFT structure. */
-    uint16_t fftLenRFFT;                        /**< length of the real sequence */
-	float32_t * pTwiddleRFFT;					/**< Twiddle factors real stage  */
+    uint16_t fftLenRFFT;             /**< length of the real sequence */
+    float32_t * pTwiddleRFFT;        /**< Twiddle factors real stage  */
   } arm_rfft_fast_instance_f32 ;
 
 arm_status arm_rfft_fast_init_f32 (
-	arm_rfft_fast_instance_f32 * S,
-	uint16_t fftLen);
+   arm_rfft_fast_instance_f32 * S,
+   uint16_t fftLen);
 
 void arm_rfft_fast_f32(
   arm_rfft_fast_instance_f32 * S,
@@ -2238,29 +2252,28 @@
   /**
    * @brief Instance structure for the floating-point DCT4/IDCT4 function.
    */
-
   typedef struct
   {
-    uint16_t N;                         /**< length of the DCT4. */
-    uint16_t Nby2;                      /**< half of the length of the DCT4. */
-    float32_t normalize;                /**< normalizing factor. */
-    float32_t *pTwiddle;                /**< points to the twiddle factor table. */
-    float32_t *pCosFactor;              /**< points to the cosFactor table. */
+    uint16_t N;                          /**< length of the DCT4. */
+    uint16_t Nby2;                       /**< half of the length of the DCT4. */
+    float32_t normalize;                 /**< normalizing factor. */
+    float32_t *pTwiddle;                 /**< points to the twiddle factor table. */
+    float32_t *pCosFactor;               /**< points to the cosFactor table. */
     arm_rfft_instance_f32 *pRfft;        /**< points to the real FFT instance. */
     arm_cfft_radix4_instance_f32 *pCfft; /**< points to the complex FFT instance. */
   } arm_dct4_instance_f32;
 
+
   /**
    * @brief  Initialization function for the floating-point DCT4/IDCT4.
-   * @param[in,out] *S         points to an instance of floating-point DCT4/IDCT4 structure.
-   * @param[in]     *S_RFFT    points to an instance of floating-point RFFT/RIFFT structure.
-   * @param[in]     *S_CFFT    points to an instance of floating-point CFFT/CIFFT structure.
+   * @param[in,out] S          points to an instance of floating-point DCT4/IDCT4 structure.
+   * @param[in]     S_RFFT     points to an instance of floating-point RFFT/RIFFT structure.
+   * @param[in]     S_CFFT     points to an instance of floating-point CFFT/CIFFT structure.
    * @param[in]     N          length of the DCT4.
    * @param[in]     Nby2       half of the length of the DCT4.
    * @param[in]     normalize  normalizing factor.
-   * @return		arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLenReal</code> is not a supported transform length.
-   */
-
+   * @return      arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLenReal</code> is not a supported transform length.
+   */
   arm_status arm_dct4_init_f32(
   arm_dct4_instance_f32 * S,
   arm_rfft_instance_f32 * S_RFFT,
@@ -2269,45 +2282,44 @@
   uint16_t Nby2,
   float32_t normalize);
 
+
   /**
    * @brief Processing function for the floating-point DCT4/IDCT4.
-   * @param[in]       *S             points to an instance of the floating-point DCT4/IDCT4 structure.
-   * @param[in]       *pState        points to state buffer.
-   * @param[in,out]   *pInlineBuffer points to the in-place input and output buffer.
-   * @return none.
-   */
-
+   * @param[in]     S              points to an instance of the floating-point DCT4/IDCT4 structure.
+   * @param[in]     pState         points to state buffer.
+   * @param[in,out] pInlineBuffer  points to the in-place input and output buffer.
+   */
   void arm_dct4_f32(
   const arm_dct4_instance_f32 * S,
   float32_t * pState,
   float32_t * pInlineBuffer);
 
+
   /**
    * @brief Instance structure for the Q31 DCT4/IDCT4 function.
    */
-
   typedef struct
   {
-    uint16_t N;                         /**< length of the DCT4. */
-    uint16_t Nby2;                      /**< half of the length of the DCT4. */
-    q31_t normalize;                    /**< normalizing factor. */
-    q31_t *pTwiddle;                    /**< points to the twiddle factor table. */
-    q31_t *pCosFactor;                  /**< points to the cosFactor table. */
+    uint16_t N;                          /**< length of the DCT4. */
+    uint16_t Nby2;                       /**< half of the length of the DCT4. */
+    q31_t normalize;                     /**< normalizing factor. */
+    q31_t *pTwiddle;                     /**< points to the twiddle factor table. */
+    q31_t *pCosFactor;                   /**< points to the cosFactor table. */
     arm_rfft_instance_q31 *pRfft;        /**< points to the real FFT instance. */
     arm_cfft_radix4_instance_q31 *pCfft; /**< points to the complex FFT instance. */
   } arm_dct4_instance_q31;
 
+
   /**
    * @brief  Initialization function for the Q31 DCT4/IDCT4.
-   * @param[in,out] *S         points to an instance of Q31 DCT4/IDCT4 structure.
-   * @param[in]     *S_RFFT    points to an instance of Q31 RFFT/RIFFT structure
-   * @param[in]     *S_CFFT    points to an instance of Q31 CFFT/CIFFT structure
+   * @param[in,out] S          points to an instance of Q31 DCT4/IDCT4 structure.
+   * @param[in]     S_RFFT     points to an instance of Q31 RFFT/RIFFT structure
+   * @param[in]     S_CFFT     points to an instance of Q31 CFFT/CIFFT structure
    * @param[in]     N          length of the DCT4.
    * @param[in]     Nby2       half of the length of the DCT4.
    * @param[in]     normalize  normalizing factor.
-   * @return		arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>N</code> is not a supported transform length.
-   */
-
+   * @return      arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>N</code> is not a supported transform length.
+   */
   arm_status arm_dct4_init_q31(
   arm_dct4_instance_q31 * S,
   arm_rfft_instance_q31 * S_RFFT,
@@ -2316,45 +2328,44 @@
   uint16_t Nby2,
   q31_t normalize);
 
+
   /**
    * @brief Processing function for the Q31 DCT4/IDCT4.
-   * @param[in]       *S             points to an instance of the Q31 DCT4 structure.
-   * @param[in]       *pState        points to state buffer.
-   * @param[in,out]   *pInlineBuffer points to the in-place input and output buffer.
-   * @return none.
-   */
-
+   * @param[in]     S              points to an instance of the Q31 DCT4 structure.
+   * @param[in]     pState         points to state buffer.
+   * @param[in,out] pInlineBuffer  points to the in-place input and output buffer.
+   */
   void arm_dct4_q31(
   const arm_dct4_instance_q31 * S,
   q31_t * pState,
   q31_t * pInlineBuffer);
 
+
   /**
    * @brief Instance structure for the Q15 DCT4/IDCT4 function.
    */
-
   typedef struct
   {
-    uint16_t N;                         /**< length of the DCT4. */
-    uint16_t Nby2;                      /**< half of the length of the DCT4. */
-    q15_t normalize;                    /**< normalizing factor. */
-    q15_t *pTwiddle;                    /**< points to the twiddle factor table. */
-    q15_t *pCosFactor;                  /**< points to the cosFactor table. */
+    uint16_t N;                          /**< length of the DCT4. */
+    uint16_t Nby2;                       /**< half of the length of the DCT4. */
+    q15_t normalize;                     /**< normalizing factor. */
+    q15_t *pTwiddle;                     /**< points to the twiddle factor table. */
+    q15_t *pCosFactor;                   /**< points to the cosFactor table. */
     arm_rfft_instance_q15 *pRfft;        /**< points to the real FFT instance. */
     arm_cfft_radix4_instance_q15 *pCfft; /**< points to the complex FFT instance. */
   } arm_dct4_instance_q15;
 
+
   /**
    * @brief  Initialization function for the Q15 DCT4/IDCT4.
-   * @param[in,out] *S         points to an instance of Q15 DCT4/IDCT4 structure.
-   * @param[in]     *S_RFFT    points to an instance of Q15 RFFT/RIFFT structure.
-   * @param[in]     *S_CFFT    points to an instance of Q15 CFFT/CIFFT structure.
+   * @param[in,out] S          points to an instance of Q15 DCT4/IDCT4 structure.
+   * @param[in]     S_RFFT     points to an instance of Q15 RFFT/RIFFT structure.
+   * @param[in]     S_CFFT     points to an instance of Q15 CFFT/CIFFT structure.
    * @param[in]     N          length of the DCT4.
    * @param[in]     Nby2       half of the length of the DCT4.
    * @param[in]     normalize  normalizing factor.
-   * @return		arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>N</code> is not a supported transform length.
-   */
-
+   * @return      arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>N</code> is not a supported transform length.
+   */
   arm_status arm_dct4_init_q15(
   arm_dct4_instance_q15 * S,
   arm_rfft_instance_q15 * S_RFFT,
@@ -2363,164 +2374,153 @@
   uint16_t Nby2,
   q15_t normalize);
 
+
   /**
    * @brief Processing function for the Q15 DCT4/IDCT4.
-   * @param[in]       *S             points to an instance of the Q15 DCT4 structure.
-   * @param[in]       *pState        points to state buffer.
-   * @param[in,out]   *pInlineBuffer points to the in-place input and output buffer.
-   * @return none.
-   */
-
+   * @param[in]     S              points to an instance of the Q15 DCT4 structure.
+   * @param[in]     pState         points to state buffer.
+   * @param[in,out] pInlineBuffer  points to the in-place input and output buffer.
+   */
   void arm_dct4_q15(
   const arm_dct4_instance_q15 * S,
   q15_t * pState,
   q15_t * pInlineBuffer);
 
+
   /**
    * @brief Floating-point vector addition.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
   void arm_add_f32(
   float32_t * pSrcA,
   float32_t * pSrcB,
   float32_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief Q7 vector addition.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
   void arm_add_q7(
   q7_t * pSrcA,
   q7_t * pSrcB,
   q7_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief Q15 vector addition.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
   void arm_add_q15(
   q15_t * pSrcA,
   q15_t * pSrcB,
   q15_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief Q31 vector addition.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
   void arm_add_q31(
   q31_t * pSrcA,
   q31_t * pSrcB,
   q31_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief Floating-point vector subtraction.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
   void arm_sub_f32(
   float32_t * pSrcA,
   float32_t * pSrcB,
   float32_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief Q7 vector subtraction.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
   void arm_sub_q7(
   q7_t * pSrcA,
   q7_t * pSrcB,
   q7_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief Q15 vector subtraction.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
   void arm_sub_q15(
   q15_t * pSrcA,
   q15_t * pSrcB,
   q15_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief Q31 vector subtraction.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
   void arm_sub_q31(
   q31_t * pSrcA,
   q31_t * pSrcB,
   q31_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief Multiplies a floating-point vector by a scalar.
-   * @param[in]       *pSrc points to the input vector
-   * @param[in]       scale scale factor to be applied
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in the vector
-   * @return none.
-   */
-
+   * @param[in]  pSrc       points to the input vector
+   * @param[in]  scale      scale factor to be applied
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
   void arm_scale_f32(
   float32_t * pSrc,
   float32_t scale,
   float32_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief Multiplies a Q7 vector by a scalar.
-   * @param[in]       *pSrc points to the input vector
-   * @param[in]       scaleFract fractional portion of the scale value
-   * @param[in]       shift number of bits to shift the result by
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in the vector
-   * @return none.
-   */
-
+   * @param[in]  pSrc        points to the input vector
+   * @param[in]  scaleFract  fractional portion of the scale value
+   * @param[in]  shift       number of bits to shift the result by
+   * @param[out] pDst        points to the output vector
+   * @param[in]  blockSize   number of samples in the vector
+   */
   void arm_scale_q7(
   q7_t * pSrc,
   q7_t scaleFract,
@@ -2528,16 +2528,15 @@
   q7_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief Multiplies a Q15 vector by a scalar.
-   * @param[in]       *pSrc points to the input vector
-   * @param[in]       scaleFract fractional portion of the scale value
-   * @param[in]       shift number of bits to shift the result by
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in the vector
-   * @return none.
-   */
-
+   * @param[in]  pSrc        points to the input vector
+   * @param[in]  scaleFract  fractional portion of the scale value
+   * @param[in]  shift       number of bits to shift the result by
+   * @param[out] pDst        points to the output vector
+   * @param[in]  blockSize   number of samples in the vector
+   */
   void arm_scale_q15(
   q15_t * pSrc,
   q15_t scaleFract,
@@ -2545,16 +2544,15 @@
   q15_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief Multiplies a Q31 vector by a scalar.
-   * @param[in]       *pSrc points to the input vector
-   * @param[in]       scaleFract fractional portion of the scale value
-   * @param[in]       shift number of bits to shift the result by
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in the vector
-   * @return none.
-   */
-
+   * @param[in]  pSrc        points to the input vector
+   * @param[in]  scaleFract  fractional portion of the scale value
+   * @param[in]  shift       number of bits to shift the result by
+   * @param[out] pDst        points to the output vector
+   * @param[in]  blockSize   number of samples in the vector
+   */
   void arm_scale_q31(
   q31_t * pSrc,
   q31_t scaleFract,
@@ -2562,379 +2560,361 @@
   q31_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief Q7 vector absolute value.
-   * @param[in]       *pSrc points to the input buffer
-   * @param[out]      *pDst points to the output buffer
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
+   * @param[in]  pSrc       points to the input buffer
+   * @param[out] pDst       points to the output buffer
+   * @param[in]  blockSize  number of samples in each vector
+   */
   void arm_abs_q7(
   q7_t * pSrc,
   q7_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief Floating-point vector absolute value.
-   * @param[in]       *pSrc points to the input buffer
-   * @param[out]      *pDst points to the output buffer
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
+   * @param[in]  pSrc       points to the input buffer
+   * @param[out] pDst       points to the output buffer
+   * @param[in]  blockSize  number of samples in each vector
+   */
   void arm_abs_f32(
   float32_t * pSrc,
   float32_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief Q15 vector absolute value.
-   * @param[in]       *pSrc points to the input buffer
-   * @param[out]      *pDst points to the output buffer
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
+   * @param[in]  pSrc       points to the input buffer
+   * @param[out] pDst       points to the output buffer
+   * @param[in]  blockSize  number of samples in each vector
+   */
   void arm_abs_q15(
   q15_t * pSrc,
   q15_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief Q31 vector absolute value.
-   * @param[in]       *pSrc points to the input buffer
-   * @param[out]      *pDst points to the output buffer
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
+   * @param[in]  pSrc       points to the input buffer
+   * @param[out] pDst       points to the output buffer
+   * @param[in]  blockSize  number of samples in each vector
+   */
   void arm_abs_q31(
   q31_t * pSrc,
   q31_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief Dot product of floating-point vectors.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[in]       blockSize number of samples in each vector
-   * @param[out]      *result output result returned here
-   * @return none.
-   */
-
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[in]  blockSize  number of samples in each vector
+   * @param[out] result     output result returned here
+   */
   void arm_dot_prod_f32(
   float32_t * pSrcA,
   float32_t * pSrcB,
   uint32_t blockSize,
   float32_t * result);
 
+
   /**
    * @brief Dot product of Q7 vectors.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[in]       blockSize number of samples in each vector
-   * @param[out]      *result output result returned here
-   * @return none.
-   */
-
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[in]  blockSize  number of samples in each vector
+   * @param[out] result     output result returned here
+   */
   void arm_dot_prod_q7(
   q7_t * pSrcA,
   q7_t * pSrcB,
   uint32_t blockSize,
   q31_t * result);
 
+
   /**
    * @brief Dot product of Q15 vectors.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[in]       blockSize number of samples in each vector
-   * @param[out]      *result output result returned here
-   * @return none.
-   */
-
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[in]  blockSize  number of samples in each vector
+   * @param[out] result     output result returned here
+   */
   void arm_dot_prod_q15(
   q15_t * pSrcA,
   q15_t * pSrcB,
   uint32_t blockSize,
   q63_t * result);
 
+
   /**
    * @brief Dot product of Q31 vectors.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[in]       blockSize number of samples in each vector
-   * @param[out]      *result output result returned here
-   * @return none.
-   */
-
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[in]  blockSize  number of samples in each vector
+   * @param[out] result     output result returned here
+   */
   void arm_dot_prod_q31(
   q31_t * pSrcA,
   q31_t * pSrcB,
   uint32_t blockSize,
   q63_t * result);
 
+
   /**
    * @brief  Shifts the elements of a Q7 vector a specified number of bits.
-   * @param[in]  *pSrc points to the input vector
-   * @param[in]  shiftBits number of bits to shift.  A positive value shifts left; a negative value shifts right.
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  blockSize number of samples in the vector
-   * @return none.
-   */
-
+   * @param[in]  pSrc       points to the input vector
+   * @param[in]  shiftBits  number of bits to shift.  A positive value shifts left; a negative value shifts right.
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
   void arm_shift_q7(
   q7_t * pSrc,
   int8_t shiftBits,
   q7_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief  Shifts the elements of a Q15 vector a specified number of bits.
-   * @param[in]  *pSrc points to the input vector
-   * @param[in]  shiftBits number of bits to shift.  A positive value shifts left; a negative value shifts right.
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  blockSize number of samples in the vector
-   * @return none.
-   */
-
+   * @param[in]  pSrc       points to the input vector
+   * @param[in]  shiftBits  number of bits to shift.  A positive value shifts left; a negative value shifts right.
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
   void arm_shift_q15(
   q15_t * pSrc,
   int8_t shiftBits,
   q15_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief  Shifts the elements of a Q31 vector a specified number of bits.
-   * @param[in]  *pSrc points to the input vector
-   * @param[in]  shiftBits number of bits to shift.  A positive value shifts left; a negative value shifts right.
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  blockSize number of samples in the vector
-   * @return none.
-   */
-
+   * @param[in]  pSrc       points to the input vector
+   * @param[in]  shiftBits  number of bits to shift.  A positive value shifts left; a negative value shifts right.
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
   void arm_shift_q31(
   q31_t * pSrc,
   int8_t shiftBits,
   q31_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief  Adds a constant offset to a floating-point vector.
-   * @param[in]  *pSrc points to the input vector
-   * @param[in]  offset is the offset to be added
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  blockSize number of samples in the vector
-   * @return none.
-   */
-
+   * @param[in]  pSrc       points to the input vector
+   * @param[in]  offset     is the offset to be added
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
   void arm_offset_f32(
   float32_t * pSrc,
   float32_t offset,
   float32_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief  Adds a constant offset to a Q7 vector.
-   * @param[in]  *pSrc points to the input vector
-   * @param[in]  offset is the offset to be added
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  blockSize number of samples in the vector
-   * @return none.
-   */
-
+   * @param[in]  pSrc       points to the input vector
+   * @param[in]  offset     is the offset to be added
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
   void arm_offset_q7(
   q7_t * pSrc,
   q7_t offset,
   q7_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief  Adds a constant offset to a Q15 vector.
-   * @param[in]  *pSrc points to the input vector
-   * @param[in]  offset is the offset to be added
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  blockSize number of samples in the vector
-   * @return none.
-   */
-
+   * @param[in]  pSrc       points to the input vector
+   * @param[in]  offset     is the offset to be added
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
   void arm_offset_q15(
   q15_t * pSrc,
   q15_t offset,
   q15_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief  Adds a constant offset to a Q31 vector.
-   * @param[in]  *pSrc points to the input vector
-   * @param[in]  offset is the offset to be added
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  blockSize number of samples in the vector
-   * @return none.
-   */
-
+   * @param[in]  pSrc       points to the input vector
+   * @param[in]  offset     is the offset to be added
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
   void arm_offset_q31(
   q31_t * pSrc,
   q31_t offset,
   q31_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief  Negates the elements of a floating-point vector.
-   * @param[in]  *pSrc points to the input vector
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  blockSize number of samples in the vector
-   * @return none.
-   */
-
+   * @param[in]  pSrc       points to the input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
   void arm_negate_f32(
   float32_t * pSrc,
   float32_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief  Negates the elements of a Q7 vector.
-   * @param[in]  *pSrc points to the input vector
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  blockSize number of samples in the vector
-   * @return none.
-   */
-
+   * @param[in]  pSrc       points to the input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
   void arm_negate_q7(
   q7_t * pSrc,
   q7_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief  Negates the elements of a Q15 vector.
-   * @param[in]  *pSrc points to the input vector
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  blockSize number of samples in the vector
-   * @return none.
-   */
-
+   * @param[in]  pSrc       points to the input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
   void arm_negate_q15(
   q15_t * pSrc,
   q15_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief  Negates the elements of a Q31 vector.
-   * @param[in]  *pSrc points to the input vector
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  blockSize number of samples in the vector
-   * @return none.
-   */
-
+   * @param[in]  pSrc       points to the input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
   void arm_negate_q31(
   q31_t * pSrc,
   q31_t * pDst,
   uint32_t blockSize);
+
+
   /**
    * @brief  Copies the elements of a floating-point vector.
-   * @param[in]  *pSrc input pointer
-   * @param[out]  *pDst output pointer
-   * @param[in]  blockSize number of samples to process
-   * @return none.
+   * @param[in]  pSrc       input pointer
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
    */
   void arm_copy_f32(
   float32_t * pSrc,
   float32_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief  Copies the elements of a Q7 vector.
-   * @param[in]  *pSrc input pointer
-   * @param[out]  *pDst output pointer
-   * @param[in]  blockSize number of samples to process
-   * @return none.
+   * @param[in]  pSrc       input pointer
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
    */
   void arm_copy_q7(
   q7_t * pSrc,
   q7_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief  Copies the elements of a Q15 vector.
-   * @param[in]  *pSrc input pointer
-   * @param[out]  *pDst output pointer
-   * @param[in]  blockSize number of samples to process
-   * @return none.
+   * @param[in]  pSrc       input pointer
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
    */
   void arm_copy_q15(
   q15_t * pSrc,
   q15_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief  Copies the elements of a Q31 vector.
-   * @param[in]  *pSrc input pointer
-   * @param[out]  *pDst output pointer
-   * @param[in]  blockSize number of samples to process
-   * @return none.
+   * @param[in]  pSrc       input pointer
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
    */
   void arm_copy_q31(
   q31_t * pSrc,
   q31_t * pDst,
   uint32_t blockSize);
+
+
   /**
    * @brief  Fills a constant value into a floating-point vector.
-   * @param[in]  value input value to be filled
-   * @param[out]  *pDst output pointer
-   * @param[in]  blockSize number of samples to process
-   * @return none.
+   * @param[in]  value      input value to be filled
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
    */
   void arm_fill_f32(
   float32_t value,
   float32_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief  Fills a constant value into a Q7 vector.
-   * @param[in]  value input value to be filled
-   * @param[out]  *pDst output pointer
-   * @param[in]  blockSize number of samples to process
-   * @return none.
+   * @param[in]  value      input value to be filled
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
    */
   void arm_fill_q7(
   q7_t value,
   q7_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief  Fills a constant value into a Q15 vector.
-   * @param[in]  value input value to be filled
-   * @param[out]  *pDst output pointer
-   * @param[in]  blockSize number of samples to process
-   * @return none.
+   * @param[in]  value      input value to be filled
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
    */
   void arm_fill_q15(
   q15_t value,
   q15_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief  Fills a constant value into a Q31 vector.
-   * @param[in]  value input value to be filled
-   * @param[out]  *pDst output pointer
-   * @param[in]  blockSize number of samples to process
-   * @return none.
+   * @param[in]  value      input value to be filled
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
    */
   void arm_fill_q31(
   q31_t value,
   q31_t * pDst,
   uint32_t blockSize);
 
+
 /**
  * @brief Convolution of floating-point sequences.
- * @param[in] *pSrcA points to the first input sequence.
- * @param[in] srcALen length of the first input sequence.
- * @param[in] *pSrcB points to the second input sequence.
- * @param[in] srcBLen length of the second input sequence.
- * @param[out] *pDst points to the location where the output result is written.  Length srcALen+srcBLen-1.
- * @return none.
+ * @param[in]  pSrcA    points to the first input sequence.
+ * @param[in]  srcALen  length of the first input sequence.
+ * @param[in]  pSrcB    points to the second input sequence.
+ * @param[in]  srcBLen  length of the second input sequence.
+ * @param[out] pDst     points to the location where the output result is written.  Length srcALen+srcBLen-1.
  */
-
   void arm_conv_f32(
   float32_t * pSrcA,
   uint32_t srcALen,
@@ -2945,17 +2925,14 @@
 
   /**
    * @brief Convolution of Q15 sequences.
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length srcALen+srcBLen-1.
-   * @param[in]  *pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
-   * @param[in]  *pScratch2 points to scratch buffer of size min(srcALen, srcBLen).
-   * @return none.
-   */
-
-
+   * @param[in]  pSrcA      points to the first input sequence.
+   * @param[in]  srcALen    length of the first input sequence.
+   * @param[in]  pSrcB      points to the second input sequence.
+   * @param[in]  srcBLen    length of the second input sequence.
+   * @param[out] pDst       points to the block of output data  Length srcALen+srcBLen-1.
+   * @param[in]  pScratch1  points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+   * @param[in]  pScratch2  points to scratch buffer of size min(srcALen, srcBLen).
+   */
   void arm_conv_opt_q15(
   q15_t * pSrcA,
   uint32_t srcALen,
@@ -2968,14 +2945,12 @@
 
 /**
  * @brief Convolution of Q15 sequences.
- * @param[in] *pSrcA points to the first input sequence.
- * @param[in] srcALen length of the first input sequence.
- * @param[in] *pSrcB points to the second input sequence.
- * @param[in] srcBLen length of the second input sequence.
- * @param[out] *pDst points to the location where the output result is written.  Length srcALen+srcBLen-1.
- * @return none.
+ * @param[in]  pSrcA    points to the first input sequence.
+ * @param[in]  srcALen  length of the first input sequence.
+ * @param[in]  pSrcB    points to the second input sequence.
+ * @param[in]  srcBLen  length of the second input sequence.
+ * @param[out] pDst     points to the location where the output result is written.  Length srcALen+srcBLen-1.
  */
-
   void arm_conv_q15(
   q15_t * pSrcA,
   uint32_t srcALen,
@@ -2983,35 +2958,33 @@
   uint32_t srcBLen,
   q15_t * pDst);
 
-  /**
-   * @brief Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length srcALen+srcBLen-1.
-   * @return none.
-   */
-
-  void arm_conv_fast_q15(
-			  q15_t * pSrcA,
-			 uint32_t srcALen,
-			  q15_t * pSrcB,
-			 uint32_t srcBLen,
-			 q15_t * pDst);
 
   /**
    * @brief Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length srcALen+srcBLen-1.
-   * @param[in]  *pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
-   * @param[in]  *pScratch2 points to scratch buffer of size min(srcALen, srcBLen).
-   * @return none.
-   */
-
+   * @param[in]  pSrcA    points to the first input sequence.
+   * @param[in]  srcALen  length of the first input sequence.
+   * @param[in]  pSrcB    points to the second input sequence.
+   * @param[in]  srcBLen  length of the second input sequence.
+   * @param[out] pDst     points to the block of output data  Length srcALen+srcBLen-1.
+   */
+  void arm_conv_fast_q15(
+          q15_t * pSrcA,
+          uint32_t srcALen,
+          q15_t * pSrcB,
+          uint32_t srcBLen,
+          q15_t * pDst);
+
+
+  /**
+   * @brief Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4
+   * @param[in]  pSrcA      points to the first input sequence.
+   * @param[in]  srcALen    length of the first input sequence.
+   * @param[in]  pSrcB      points to the second input sequence.
+   * @param[in]  srcBLen    length of the second input sequence.
+   * @param[out] pDst       points to the block of output data  Length srcALen+srcBLen-1.
+   * @param[in]  pScratch1  points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+   * @param[in]  pScratch2  points to scratch buffer of size min(srcALen, srcBLen).
+   */
   void arm_conv_fast_opt_q15(
   q15_t * pSrcA,
   uint32_t srcALen,
@@ -3022,17 +2995,14 @@
   q15_t * pScratch2);
 
 
-
   /**
    * @brief Convolution of Q31 sequences.
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length srcALen+srcBLen-1.
-   * @return none.
-   */
-
+   * @param[in]  pSrcA    points to the first input sequence.
+   * @param[in]  srcALen  length of the first input sequence.
+   * @param[in]  pSrcB    points to the second input sequence.
+   * @param[in]  srcBLen  length of the second input sequence.
+   * @param[out] pDst     points to the block of output data  Length srcALen+srcBLen-1.
+   */
   void arm_conv_q31(
   q31_t * pSrcA,
   uint32_t srcALen,
@@ -3040,16 +3010,15 @@
   uint32_t srcBLen,
   q31_t * pDst);
 
+
   /**
    * @brief Convolution of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length srcALen+srcBLen-1.
-   * @return none.
-   */
-
+   * @param[in]  pSrcA    points to the first input sequence.
+   * @param[in]  srcALen  length of the first input sequence.
+   * @param[in]  pSrcB    points to the second input sequence.
+   * @param[in]  srcBLen  length of the second input sequence.
+   * @param[out] pDst     points to the block of output data  Length srcALen+srcBLen-1.
+   */
   void arm_conv_fast_q31(
   q31_t * pSrcA,
   uint32_t srcALen,
@@ -3060,16 +3029,14 @@
 
     /**
    * @brief Convolution of Q7 sequences.
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length srcALen+srcBLen-1.
-   * @param[in]  *pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
-   * @param[in]  *pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).
-   * @return none.
-   */
-
+   * @param[in]  pSrcA      points to the first input sequence.
+   * @param[in]  srcALen    length of the first input sequence.
+   * @param[in]  pSrcB      points to the second input sequence.
+   * @param[in]  srcBLen    length of the second input sequence.
+   * @param[out] pDst       points to the block of output data  Length srcALen+srcBLen-1.
+   * @param[in]  pScratch1  points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+   * @param[in]  pScratch2  points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).
+   */
   void arm_conv_opt_q7(
   q7_t * pSrcA,
   uint32_t srcALen,
@@ -3080,17 +3047,14 @@
   q15_t * pScratch2);
 
 
-
   /**
    * @brief Convolution of Q7 sequences.
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length srcALen+srcBLen-1.
-   * @return none.
-   */
-
+   * @param[in]  pSrcA    points to the first input sequence.
+   * @param[in]  srcALen  length of the first input sequence.
+   * @param[in]  pSrcB    points to the second input sequence.
+   * @param[in]  srcBLen  length of the second input sequence.
+   * @param[out] pDst     points to the block of output data  Length srcALen+srcBLen-1.
+   */
   void arm_conv_q7(
   q7_t * pSrcA,
   uint32_t srcALen,
@@ -3101,16 +3065,15 @@
 
   /**
    * @brief Partial convolution of floating-point sequences.
-   * @param[in]       *pSrcA points to the first input sequence.
-   * @param[in]       srcALen length of the first input sequence.
-   * @param[in]       *pSrcB points to the second input sequence.
-   * @param[in]       srcBLen length of the second input sequence.
-   * @param[out]      *pDst points to the block of output data
-   * @param[in]       firstIndex is the first output sample to start with.
-   * @param[in]       numPoints is the number of output points to be computed.
+   * @param[in]  pSrcA       points to the first input sequence.
+   * @param[in]  srcALen     length of the first input sequence.
+   * @param[in]  pSrcB       points to the second input sequence.
+   * @param[in]  srcBLen     length of the second input sequence.
+   * @param[out] pDst        points to the block of output data
+   * @param[in]  firstIndex  is the first output sample to start with.
+   * @param[in]  numPoints   is the number of output points to be computed.
    * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
    */
-
   arm_status arm_conv_partial_f32(
   float32_t * pSrcA,
   uint32_t srcALen,
@@ -3120,20 +3083,20 @@
   uint32_t firstIndex,
   uint32_t numPoints);
 
-    /**
+
+  /**
    * @brief Partial convolution of Q15 sequences.
-   * @param[in]       *pSrcA points to the first input sequence.
-   * @param[in]       srcALen length of the first input sequence.
-   * @param[in]       *pSrcB points to the second input sequence.
-   * @param[in]       srcBLen length of the second input sequence.
-   * @param[out]      *pDst points to the block of output data
-   * @param[in]       firstIndex is the first output sample to start with.
-   * @param[in]       numPoints is the number of output points to be computed.
-   * @param[in]       * pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
-   * @param[in]       * pScratch2 points to scratch buffer of size min(srcALen, srcBLen).
+   * @param[in]  pSrcA       points to the first input sequence.
+   * @param[in]  srcALen     length of the first input sequence.
+   * @param[in]  pSrcB       points to the second input sequence.
+   * @param[in]  srcBLen     length of the second input sequence.
+   * @param[out] pDst        points to the block of output data
+   * @param[in]  firstIndex  is the first output sample to start with.
+   * @param[in]  numPoints   is the number of output points to be computed.
+   * @param[in]  pScratch1   points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+   * @param[in]  pScratch2   points to scratch buffer of size min(srcALen, srcBLen).
    * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
    */
-
   arm_status arm_conv_partial_opt_q15(
   q15_t * pSrcA,
   uint32_t srcALen,
@@ -3146,18 +3109,17 @@
   q15_t * pScratch2);
 
 
-/**
+  /**
    * @brief Partial convolution of Q15 sequences.
-   * @param[in]       *pSrcA points to the first input sequence.
-   * @param[in]       srcALen length of the first input sequence.
-   * @param[in]       *pSrcB points to the second input sequence.
-   * @param[in]       srcBLen length of the second input sequence.
-   * @param[out]      *pDst points to the block of output data
-   * @param[in]       firstIndex is the first output sample to start with.
-   * @param[in]       numPoints is the number of output points to be computed.
+   * @param[in]  pSrcA       points to the first input sequence.
+   * @param[in]  srcALen     length of the first input sequence.
+   * @param[in]  pSrcB       points to the second input sequence.
+   * @param[in]  srcBLen     length of the second input sequence.
+   * @param[out] pDst        points to the block of output data
+   * @param[in]  firstIndex  is the first output sample to start with.
+   * @param[in]  numPoints   is the number of output points to be computed.
    * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
    */
-
   arm_status arm_conv_partial_q15(
   q15_t * pSrcA,
   uint32_t srcALen,
@@ -3167,42 +3129,41 @@
   uint32_t firstIndex,
   uint32_t numPoints);
 
+
   /**
    * @brief Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4
-   * @param[in]       *pSrcA points to the first input sequence.
-   * @param[in]       srcALen length of the first input sequence.
-   * @param[in]       *pSrcB points to the second input sequence.
-   * @param[in]       srcBLen length of the second input sequence.
-   * @param[out]      *pDst points to the block of output data
-   * @param[in]       firstIndex is the first output sample to start with.
-   * @param[in]       numPoints is the number of output points to be computed.
+   * @param[in]  pSrcA       points to the first input sequence.
+   * @param[in]  srcALen     length of the first input sequence.
+   * @param[in]  pSrcB       points to the second input sequence.
+   * @param[in]  srcBLen     length of the second input sequence.
+   * @param[out] pDst        points to the block of output data
+   * @param[in]  firstIndex  is the first output sample to start with.
+   * @param[in]  numPoints   is the number of output points to be computed.
    * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
    */
-
   arm_status arm_conv_partial_fast_q15(
-				        q15_t * pSrcA,
-				       uint32_t srcALen,
-				        q15_t * pSrcB,
-				       uint32_t srcBLen,
-				       q15_t * pDst,
-				       uint32_t firstIndex,
-				       uint32_t numPoints);
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst,
+  uint32_t firstIndex,
+  uint32_t numPoints);
 
 
   /**
    * @brief Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4
-   * @param[in]       *pSrcA points to the first input sequence.
-   * @param[in]       srcALen length of the first input sequence.
-   * @param[in]       *pSrcB points to the second input sequence.
-   * @param[in]       srcBLen length of the second input sequence.
-   * @param[out]      *pDst points to the block of output data
-   * @param[in]       firstIndex is the first output sample to start with.
-   * @param[in]       numPoints is the number of output points to be computed.
-   * @param[in]       * pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
-   * @param[in]       * pScratch2 points to scratch buffer of size min(srcALen, srcBLen).
+   * @param[in]  pSrcA       points to the first input sequence.
+   * @param[in]  srcALen     length of the first input sequence.
+   * @param[in]  pSrcB       points to the second input sequence.
+   * @param[in]  srcBLen     length of the second input sequence.
+   * @param[out] pDst        points to the block of output data
+   * @param[in]  firstIndex  is the first output sample to start with.
+   * @param[in]  numPoints   is the number of output points to be computed.
+   * @param[in]  pScratch1   points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+   * @param[in]  pScratch2   points to scratch buffer of size min(srcALen, srcBLen).
    * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
    */
-
   arm_status arm_conv_partial_fast_opt_q15(
   q15_t * pSrcA,
   uint32_t srcALen,
@@ -3217,16 +3178,15 @@
 
   /**
    * @brief Partial convolution of Q31 sequences.
-   * @param[in]       *pSrcA points to the first input sequence.
-   * @param[in]       srcALen length of the first input sequence.
-   * @param[in]       *pSrcB points to the second input sequence.
-   * @param[in]       srcBLen length of the second input sequence.
-   * @param[out]      *pDst points to the block of output data
-   * @param[in]       firstIndex is the first output sample to start with.
-   * @param[in]       numPoints is the number of output points to be computed.
+   * @param[in]  pSrcA       points to the first input sequence.
+   * @param[in]  srcALen     length of the first input sequence.
+   * @param[in]  pSrcB       points to the second input sequence.
+   * @param[in]  srcBLen     length of the second input sequence.
+   * @param[out] pDst        points to the block of output data
+   * @param[in]  firstIndex  is the first output sample to start with.
+   * @param[in]  numPoints   is the number of output points to be computed.
    * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
    */
-
   arm_status arm_conv_partial_q31(
   q31_t * pSrcA,
   uint32_t srcALen,
@@ -3239,16 +3199,15 @@
 
   /**
    * @brief Partial convolution of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4
-   * @param[in]       *pSrcA points to the first input sequence.
-   * @param[in]       srcALen length of the first input sequence.
-   * @param[in]       *pSrcB points to the second input sequence.
-   * @param[in]       srcBLen length of the second input sequence.
-   * @param[out]      *pDst points to the block of output data
-   * @param[in]       firstIndex is the first output sample to start with.
-   * @param[in]       numPoints is the number of output points to be computed.
+   * @param[in]  pSrcA       points to the first input sequence.
+   * @param[in]  srcALen     length of the first input sequence.
+   * @param[in]  pSrcB       points to the second input sequence.
+   * @param[in]  srcBLen     length of the second input sequence.
+   * @param[out] pDst        points to the block of output data
+   * @param[in]  firstIndex  is the first output sample to start with.
+   * @param[in]  numPoints   is the number of output points to be computed.
    * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
    */
-
   arm_status arm_conv_partial_fast_q31(
   q31_t * pSrcA,
   uint32_t srcALen,
@@ -3261,18 +3220,17 @@
 
   /**
    * @brief Partial convolution of Q7 sequences
-   * @param[in]       *pSrcA points to the first input sequence.
-   * @param[in]       srcALen length of the first input sequence.
-   * @param[in]       *pSrcB points to the second input sequence.
-   * @param[in]       srcBLen length of the second input sequence.
-   * @param[out]      *pDst points to the block of output data
-   * @param[in]       firstIndex is the first output sample to start with.
-   * @param[in]       numPoints is the number of output points to be computed.
-   * @param[in]  *pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
-   * @param[in]  *pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).
+   * @param[in]  pSrcA       points to the first input sequence.
+   * @param[in]  srcALen     length of the first input sequence.
+   * @param[in]  pSrcB       points to the second input sequence.
+   * @param[in]  srcBLen     length of the second input sequence.
+   * @param[out] pDst        points to the block of output data
+   * @param[in]  firstIndex  is the first output sample to start with.
+   * @param[in]  numPoints   is the number of output points to be computed.
+   * @param[in]  pScratch1   points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+   * @param[in]  pScratch2   points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).
    * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
    */
-
   arm_status arm_conv_partial_opt_q7(
   q7_t * pSrcA,
   uint32_t srcALen,
@@ -3287,16 +3245,15 @@
 
 /**
    * @brief Partial convolution of Q7 sequences.
-   * @param[in]       *pSrcA points to the first input sequence.
-   * @param[in]       srcALen length of the first input sequence.
-   * @param[in]       *pSrcB points to the second input sequence.
-   * @param[in]       srcBLen length of the second input sequence.
-   * @param[out]      *pDst points to the block of output data
-   * @param[in]       firstIndex is the first output sample to start with.
-   * @param[in]       numPoints is the number of output points to be computed.
+   * @param[in]  pSrcA       points to the first input sequence.
+   * @param[in]  srcALen     length of the first input sequence.
+   * @param[in]  pSrcB       points to the second input sequence.
+   * @param[in]  srcBLen     length of the second input sequence.
+   * @param[out] pDst        points to the block of output data
+   * @param[in]  firstIndex  is the first output sample to start with.
+   * @param[in]  numPoints   is the number of output points to be computed.
    * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
    */
-
   arm_status arm_conv_partial_q7(
   q7_t * pSrcA,
   uint32_t srcALen,
@@ -3307,56 +3264,47 @@
   uint32_t numPoints);
 
 
-
   /**
    * @brief Instance structure for the Q15 FIR decimator.
    */
-
   typedef struct
   {
-    uint8_t M;                      /**< decimation factor. */
-    uint16_t numTaps;               /**< number of coefficients in the filter. */
-    q15_t *pCoeffs;                  /**< points to the coefficient array. The array is of length numTaps.*/
-    q15_t *pState;                   /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+    uint8_t M;                  /**< decimation factor. */
+    uint16_t numTaps;           /**< number of coefficients in the filter. */
+    q15_t *pCoeffs;             /**< points to the coefficient array. The array is of length numTaps.*/
+    q15_t *pState;              /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
   } arm_fir_decimate_instance_q15;
 
   /**
    * @brief Instance structure for the Q31 FIR decimator.
    */
-
   typedef struct
   {
     uint8_t M;                  /**< decimation factor. */
     uint16_t numTaps;           /**< number of coefficients in the filter. */
-    q31_t *pCoeffs;              /**< points to the coefficient array. The array is of length numTaps.*/
-    q31_t *pState;               /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
-
+    q31_t *pCoeffs;             /**< points to the coefficient array. The array is of length numTaps.*/
+    q31_t *pState;              /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
   } arm_fir_decimate_instance_q31;
 
   /**
    * @brief Instance structure for the floating-point FIR decimator.
    */
-
   typedef struct
   {
-    uint8_t M;                          /**< decimation factor. */
-    uint16_t numTaps;                   /**< number of coefficients in the filter. */
-    float32_t *pCoeffs;                  /**< points to the coefficient array. The array is of length numTaps.*/
-    float32_t *pState;                   /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
-
+    uint8_t M;                  /**< decimation factor. */
+    uint16_t numTaps;           /**< number of coefficients in the filter. */
+    float32_t *pCoeffs;         /**< points to the coefficient array. The array is of length numTaps.*/
+    float32_t *pState;          /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
   } arm_fir_decimate_instance_f32;
 
 
-
   /**
    * @brief Processing function for the floating-point FIR decimator.
-   * @param[in] *S points to an instance of the floating-point FIR decimator structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data
-   * @param[in] blockSize number of input samples to process per call.
-   * @return none
-   */
-
+   * @param[in]  S          points to an instance of the floating-point FIR decimator structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data
+   * @param[in]  blockSize  number of input samples to process per call.
+   */
   void arm_fir_decimate_f32(
   const arm_fir_decimate_instance_f32 * S,
   float32_t * pSrc,
@@ -3366,16 +3314,15 @@
 
   /**
    * @brief  Initialization function for the floating-point FIR decimator.
-   * @param[in,out] *S points to an instance of the floating-point FIR decimator structure.
-   * @param[in] numTaps  number of coefficients in the filter.
-   * @param[in] M  decimation factor.
-   * @param[in] *pCoeffs points to the filter coefficients.
-   * @param[in] *pState points to the state buffer.
-   * @param[in] blockSize number of input samples to process per call.
+   * @param[in,out] S          points to an instance of the floating-point FIR decimator structure.
+   * @param[in]     numTaps    number of coefficients in the filter.
+   * @param[in]     M          decimation factor.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     blockSize  number of input samples to process per call.
    * @return    The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
    * <code>blockSize</code> is not a multiple of <code>M</code>.
    */
-
   arm_status arm_fir_decimate_init_f32(
   arm_fir_decimate_instance_f32 * S,
   uint16_t numTaps,
@@ -3384,30 +3331,28 @@
   float32_t * pState,
   uint32_t blockSize);
 
+
   /**
    * @brief Processing function for the Q15 FIR decimator.
-   * @param[in] *S points to an instance of the Q15 FIR decimator structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data
-   * @param[in] blockSize number of input samples to process per call.
-   * @return none
-   */
-
+   * @param[in]  S          points to an instance of the Q15 FIR decimator structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data
+   * @param[in]  blockSize  number of input samples to process per call.
+   */
   void arm_fir_decimate_q15(
   const arm_fir_decimate_instance_q15 * S,
   q15_t * pSrc,
   q15_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief Processing function for the Q15 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4.
-   * @param[in] *S points to an instance of the Q15 FIR decimator structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data
-   * @param[in] blockSize number of input samples to process per call.
-   * @return none
-   */
-
+   * @param[in]  S          points to an instance of the Q15 FIR decimator structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data
+   * @param[in]  blockSize  number of input samples to process per call.
+   */
   void arm_fir_decimate_fast_q15(
   const arm_fir_decimate_instance_q15 * S,
   q15_t * pSrc,
@@ -3415,19 +3360,17 @@
   uint32_t blockSize);
 
 
-
   /**
    * @brief  Initialization function for the Q15 FIR decimator.
-   * @param[in,out] *S points to an instance of the Q15 FIR decimator structure.
-   * @param[in] numTaps  number of coefficients in the filter.
-   * @param[in] M  decimation factor.
-   * @param[in] *pCoeffs points to the filter coefficients.
-   * @param[in] *pState points to the state buffer.
-   * @param[in] blockSize number of input samples to process per call.
+   * @param[in,out] S          points to an instance of the Q15 FIR decimator structure.
+   * @param[in]     numTaps    number of coefficients in the filter.
+   * @param[in]     M          decimation factor.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     blockSize  number of input samples to process per call.
    * @return    The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
    * <code>blockSize</code> is not a multiple of <code>M</code>.
    */
-
   arm_status arm_fir_decimate_init_q15(
   arm_fir_decimate_instance_q15 * S,
   uint16_t numTaps,
@@ -3436,15 +3379,14 @@
   q15_t * pState,
   uint32_t blockSize);
 
+
   /**
    * @brief Processing function for the Q31 FIR decimator.
-   * @param[in] *S points to an instance of the Q31 FIR decimator structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data
+   * @param[in]  S     points to an instance of the Q31 FIR decimator structure.
+   * @param[in]  pSrc  points to the block of input data.
+   * @param[out] pDst  points to the block of output data
    * @param[in] blockSize number of input samples to process per call.
-   * @return none
-   */
-
+   */
   void arm_fir_decimate_q31(
   const arm_fir_decimate_instance_q31 * S,
   q31_t * pSrc,
@@ -3453,13 +3395,11 @@
 
   /**
    * @brief Processing function for the Q31 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4.
-   * @param[in] *S points to an instance of the Q31 FIR decimator structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data
-   * @param[in] blockSize number of input samples to process per call.
-   * @return none
-   */
-
+   * @param[in]  S          points to an instance of the Q31 FIR decimator structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data
+   * @param[in]  blockSize  number of input samples to process per call.
+   */
   void arm_fir_decimate_fast_q31(
   arm_fir_decimate_instance_q31 * S,
   q31_t * pSrc,
@@ -3469,16 +3409,15 @@
 
   /**
    * @brief  Initialization function for the Q31 FIR decimator.
-   * @param[in,out] *S points to an instance of the Q31 FIR decimator structure.
-   * @param[in] numTaps  number of coefficients in the filter.
-   * @param[in] M  decimation factor.
-   * @param[in] *pCoeffs points to the filter coefficients.
-   * @param[in] *pState points to the state buffer.
-   * @param[in] blockSize number of input samples to process per call.
+   * @param[in,out] S          points to an instance of the Q31 FIR decimator structure.
+   * @param[in]     numTaps    number of coefficients in the filter.
+   * @param[in]     M          decimation factor.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     blockSize  number of input samples to process per call.
    * @return    The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
    * <code>blockSize</code> is not a multiple of <code>M</code>.
    */
-
   arm_status arm_fir_decimate_init_q31(
   arm_fir_decimate_instance_q31 * S,
   uint16_t numTaps,
@@ -3488,11 +3427,9 @@
   uint32_t blockSize);
 
 
-
   /**
    * @brief Instance structure for the Q15 FIR interpolator.
    */
-
   typedef struct
   {
     uint8_t L;                      /**< upsample factor. */
@@ -3504,37 +3441,33 @@
   /**
    * @brief Instance structure for the Q31 FIR interpolator.
    */
-
   typedef struct
   {
     uint8_t L;                      /**< upsample factor. */
     uint16_t phaseLength;           /**< length of each polyphase filter component. */
-    q31_t *pCoeffs;                  /**< points to the coefficient array. The array is of length L*phaseLength. */
-    q31_t *pState;                   /**< points to the state variable array. The array is of length blockSize+phaseLength-1. */
+    q31_t *pCoeffs;                 /**< points to the coefficient array. The array is of length L*phaseLength. */
+    q31_t *pState;                  /**< points to the state variable array. The array is of length blockSize+phaseLength-1. */
   } arm_fir_interpolate_instance_q31;
 
   /**
    * @brief Instance structure for the floating-point FIR interpolator.
    */
-
   typedef struct
   {
     uint8_t L;                     /**< upsample factor. */
     uint16_t phaseLength;          /**< length of each polyphase filter component. */
-    float32_t *pCoeffs;             /**< points to the coefficient array. The array is of length L*phaseLength. */
-    float32_t *pState;              /**< points to the state variable array. The array is of length phaseLength+numTaps-1. */
+    float32_t *pCoeffs;            /**< points to the coefficient array. The array is of length L*phaseLength. */
+    float32_t *pState;             /**< points to the state variable array. The array is of length phaseLength+numTaps-1. */
   } arm_fir_interpolate_instance_f32;
 
 
   /**
    * @brief Processing function for the Q15 FIR interpolator.
-   * @param[in] *S        points to an instance of the Q15 FIR interpolator structure.
-   * @param[in] *pSrc     points to the block of input data.
-   * @param[out] *pDst    points to the block of output data.
-   * @param[in] blockSize number of input samples to process per call.
-   * @return none.
-   */
-
+   * @param[in]  S          points to an instance of the Q15 FIR interpolator structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of input samples to process per call.
+   */
   void arm_fir_interpolate_q15(
   const arm_fir_interpolate_instance_q15 * S,
   q15_t * pSrc,
@@ -3544,16 +3477,15 @@
 
   /**
    * @brief  Initialization function for the Q15 FIR interpolator.
-   * @param[in,out] *S        points to an instance of the Q15 FIR interpolator structure.
-   * @param[in]     L         upsample factor.
-   * @param[in]     numTaps   number of filter coefficients in the filter.
-   * @param[in]     *pCoeffs  points to the filter coefficient buffer.
-   * @param[in]     *pState   points to the state buffer.
-   * @param[in]     blockSize number of input samples to process per call.
+   * @param[in,out] S          points to an instance of the Q15 FIR interpolator structure.
+   * @param[in]     L          upsample factor.
+   * @param[in]     numTaps    number of filter coefficients in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficient buffer.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     blockSize  number of input samples to process per call.
    * @return        The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
    * the filter length <code>numTaps</code> is not a multiple of the interpolation factor <code>L</code>.
    */
-
   arm_status arm_fir_interpolate_init_q15(
   arm_fir_interpolate_instance_q15 * S,
   uint8_t L,
@@ -3562,33 +3494,32 @@
   q15_t * pState,
   uint32_t blockSize);
 
+
   /**
    * @brief Processing function for the Q31 FIR interpolator.
-   * @param[in] *S        points to an instance of the Q15 FIR interpolator structure.
-   * @param[in] *pSrc     points to the block of input data.
-   * @param[out] *pDst    points to the block of output data.
-   * @param[in] blockSize number of input samples to process per call.
-   * @return none.
-   */
-
+   * @param[in]  S          points to an instance of the Q15 FIR interpolator structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of input samples to process per call.
+   */
   void arm_fir_interpolate_q31(
   const arm_fir_interpolate_instance_q31 * S,
   q31_t * pSrc,
   q31_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief  Initialization function for the Q31 FIR interpolator.
-   * @param[in,out] *S        points to an instance of the Q31 FIR interpolator structure.
-   * @param[in]     L         upsample factor.
-   * @param[in]     numTaps   number of filter coefficients in the filter.
-   * @param[in]     *pCoeffs  points to the filter coefficient buffer.
-   * @param[in]     *pState   points to the state buffer.
-   * @param[in]     blockSize number of input samples to process per call.
+   * @param[in,out] S          points to an instance of the Q31 FIR interpolator structure.
+   * @param[in]     L          upsample factor.
+   * @param[in]     numTaps    number of filter coefficients in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficient buffer.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     blockSize  number of input samples to process per call.
    * @return        The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
    * the filter length <code>numTaps</code> is not a multiple of the interpolation factor <code>L</code>.
    */
-
   arm_status arm_fir_interpolate_init_q31(
   arm_fir_interpolate_instance_q31 * S,
   uint8_t L,
@@ -3600,31 +3531,29 @@
 
   /**
    * @brief Processing function for the floating-point FIR interpolator.
-   * @param[in] *S        points to an instance of the floating-point FIR interpolator structure.
-   * @param[in] *pSrc     points to the block of input data.
-   * @param[out] *pDst    points to the block of output data.
-   * @param[in] blockSize number of input samples to process per call.
-   * @return none.
-   */
-
+   * @param[in]  S          points to an instance of the floating-point FIR interpolator structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of input samples to process per call.
+   */
   void arm_fir_interpolate_f32(
   const arm_fir_interpolate_instance_f32 * S,
   float32_t * pSrc,
   float32_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief  Initialization function for the floating-point FIR interpolator.
-   * @param[in,out] *S        points to an instance of the floating-point FIR interpolator structure.
-   * @param[in]     L         upsample factor.
-   * @param[in]     numTaps   number of filter coefficients in the filter.
-   * @param[in]     *pCoeffs  points to the filter coefficient buffer.
-   * @param[in]     *pState   points to the state buffer.
-   * @param[in]     blockSize number of input samples to process per call.
+   * @param[in,out] S          points to an instance of the floating-point FIR interpolator structure.
+   * @param[in]     L          upsample factor.
+   * @param[in]     numTaps    number of filter coefficients in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficient buffer.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     blockSize  number of input samples to process per call.
    * @return        The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
    * the filter length <code>numTaps</code> is not a multiple of the interpolation factor <code>L</code>.
    */
-
   arm_status arm_fir_interpolate_init_f32(
   arm_fir_interpolate_instance_f32 * S,
   uint8_t L,
@@ -3633,28 +3562,25 @@
   float32_t * pState,
   uint32_t blockSize);
 
+
   /**
    * @brief Instance structure for the high precision Q31 Biquad cascade filter.
    */
-
   typedef struct
   {
     uint8_t numStages;       /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */
     q63_t *pState;           /**< points to the array of state coefficients.  The array is of length 4*numStages. */
     q31_t *pCoeffs;          /**< points to the array of coefficients.  The array is of length 5*numStages. */
     uint8_t postShift;       /**< additional shift, in bits, applied to each output sample. */
-
   } arm_biquad_cas_df1_32x64_ins_q31;
 
 
   /**
-   * @param[in]  *S        points to an instance of the high precision Q31 Biquad cascade filter structure.
-   * @param[in]  *pSrc     points to the block of input data.
-   * @param[out] *pDst     points to the block of output data
-   * @param[in]  blockSize number of samples to process.
-   * @return none.
-   */
-
+   * @param[in]  S          points to an instance of the high precision Q31 Biquad cascade filter structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data
+   * @param[in]  blockSize  number of samples to process.
+   */
   void arm_biquad_cas_df1_32x64_q31(
   const arm_biquad_cas_df1_32x64_ins_q31 * S,
   q31_t * pSrc,
@@ -3663,14 +3589,12 @@
 
 
   /**
-   * @param[in,out] *S           points to an instance of the high precision Q31 Biquad cascade filter structure.
-   * @param[in]     numStages    number of 2nd order stages in the filter.
-   * @param[in]     *pCoeffs     points to the filter coefficients.
-   * @param[in]     *pState      points to the state buffer.
-   * @param[in]     postShift    shift to be applied to the output. Varies according to the coefficients format
-   * @return        none
-   */
-
+   * @param[in,out] S          points to an instance of the high precision Q31 Biquad cascade filter structure.
+   * @param[in]     numStages  number of 2nd order stages in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     postShift  shift to be applied to the output. Varies according to the coefficients format
+   */
   void arm_biquad_cas_df1_32x64_init_q31(
   arm_biquad_cas_df1_32x64_ins_q31 * S,
   uint8_t numStages,
@@ -3679,11 +3603,9 @@
   uint8_t postShift);
 
 
-
   /**
    * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter.
    */
-
   typedef struct
   {
     uint8_t numStages;         /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */
@@ -3691,16 +3613,34 @@
     float32_t *pCoeffs;        /**< points to the array of coefficients.  The array is of length 5*numStages. */
   } arm_biquad_cascade_df2T_instance_f32;
 
+  /**
+   * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter.
+   */
+  typedef struct
+  {
+    uint8_t numStages;         /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */
+    float32_t *pState;         /**< points to the array of state coefficients.  The array is of length 4*numStages. */
+    float32_t *pCoeffs;        /**< points to the array of coefficients.  The array is of length 5*numStages. */
+  } arm_biquad_cascade_stereo_df2T_instance_f32;
+
+  /**
+   * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter.
+   */
+  typedef struct
+  {
+    uint8_t numStages;         /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */
+    float64_t *pState;         /**< points to the array of state coefficients.  The array is of length 2*numStages. */
+    float64_t *pCoeffs;        /**< points to the array of coefficients.  The array is of length 5*numStages. */
+  } arm_biquad_cascade_df2T_instance_f64;
+
 
   /**
    * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter.
-   * @param[in]  *S        points to an instance of the filter data structure.
-   * @param[in]  *pSrc     points to the block of input data.
-   * @param[out] *pDst     points to the block of output data
-   * @param[in]  blockSize number of samples to process.
-   * @return none.
-   */
-
+   * @param[in]  S          points to an instance of the filter data structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data
+   * @param[in]  blockSize  number of samples to process.
+   */
   void arm_biquad_cascade_df2T_f32(
   const arm_biquad_cascade_df2T_instance_f32 * S,
   float32_t * pSrc,
@@ -3709,14 +3649,40 @@
 
 
   /**
+   * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter. 2 channels
+   * @param[in]  S          points to an instance of the filter data structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_biquad_cascade_stereo_df2T_f32(
+  const arm_biquad_cascade_stereo_df2T_instance_f32 * S,
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter.
+   * @param[in]  S          points to an instance of the filter data structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_biquad_cascade_df2T_f64(
+  const arm_biquad_cascade_df2T_instance_f64 * S,
+  float64_t * pSrc,
+  float64_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
    * @brief  Initialization function for the floating-point transposed direct form II Biquad cascade filter.
-   * @param[in,out] *S           points to an instance of the filter data structure.
-   * @param[in]     numStages    number of 2nd order stages in the filter.
-   * @param[in]     *pCoeffs     points to the filter coefficients.
-   * @param[in]     *pState      points to the state buffer.
-   * @return        none
-   */
-
+   * @param[in,out] S          points to an instance of the filter data structure.
+   * @param[in]     numStages  number of 2nd order stages in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   */
   void arm_biquad_cascade_df2T_init_f32(
   arm_biquad_cascade_df2T_instance_f32 * S,
   uint8_t numStages,
@@ -3724,33 +3690,57 @@
   float32_t * pState);
 
 
+  /**
+   * @brief  Initialization function for the floating-point transposed direct form II Biquad cascade filter.
+   * @param[in,out] S          points to an instance of the filter data structure.
+   * @param[in]     numStages  number of 2nd order stages in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   */
+  void arm_biquad_cascade_stereo_df2T_init_f32(
+  arm_biquad_cascade_stereo_df2T_instance_f32 * S,
+  uint8_t numStages,
+  float32_t * pCoeffs,
+  float32_t * pState);
+
+
+  /**
+   * @brief  Initialization function for the floating-point transposed direct form II Biquad cascade filter.
+   * @param[in,out] S          points to an instance of the filter data structure.
+   * @param[in]     numStages  number of 2nd order stages in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   */
+  void arm_biquad_cascade_df2T_init_f64(
+  arm_biquad_cascade_df2T_instance_f64 * S,
+  uint8_t numStages,
+  float64_t * pCoeffs,
+  float64_t * pState);
+
 
   /**
    * @brief Instance structure for the Q15 FIR lattice filter.
    */
-
   typedef struct
   {
-    uint16_t numStages;                          /**< number of filter stages. */
-    q15_t *pState;                               /**< points to the state variable array. The array is of length numStages. */
-    q15_t *pCoeffs;                              /**< points to the coefficient array. The array is of length numStages. */
+    uint16_t numStages;                  /**< number of filter stages. */
+    q15_t *pState;                       /**< points to the state variable array. The array is of length numStages. */
+    q15_t *pCoeffs;                      /**< points to the coefficient array. The array is of length numStages. */
   } arm_fir_lattice_instance_q15;
 
   /**
    * @brief Instance structure for the Q31 FIR lattice filter.
    */
-
   typedef struct
   {
-    uint16_t numStages;                          /**< number of filter stages. */
-    q31_t *pState;                               /**< points to the state variable array. The array is of length numStages. */
-    q31_t *pCoeffs;                              /**< points to the coefficient array. The array is of length numStages. */
+    uint16_t numStages;                  /**< number of filter stages. */
+    q31_t *pState;                       /**< points to the state variable array. The array is of length numStages. */
+    q31_t *pCoeffs;                      /**< points to the coefficient array. The array is of length numStages. */
   } arm_fir_lattice_instance_q31;
 
   /**
    * @brief Instance structure for the floating-point FIR lattice filter.
    */
-
   typedef struct
   {
     uint16_t numStages;                  /**< number of filter stages. */
@@ -3758,15 +3748,14 @@
     float32_t *pCoeffs;                  /**< points to the coefficient array. The array is of length numStages. */
   } arm_fir_lattice_instance_f32;
 
+
   /**
    * @brief Initialization function for the Q15 FIR lattice filter.
-   * @param[in] *S points to an instance of the Q15 FIR lattice structure.
+   * @param[in] S          points to an instance of the Q15 FIR lattice structure.
    * @param[in] numStages  number of filter stages.
-   * @param[in] *pCoeffs points to the coefficient buffer.  The array is of length numStages.
-   * @param[in] *pState points to the state buffer.  The array is of length numStages.
-   * @return none.
-   */
-
+   * @param[in] pCoeffs    points to the coefficient buffer.  The array is of length numStages.
+   * @param[in] pState     points to the state buffer.  The array is of length numStages.
+   */
   void arm_fir_lattice_init_q15(
   arm_fir_lattice_instance_q15 * S,
   uint16_t numStages,
@@ -3776,11 +3765,10 @@
 
   /**
    * @brief Processing function for the Q15 FIR lattice filter.
-   * @param[in] *S points to an instance of the Q15 FIR lattice structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
+   * @param[in]  S          points to an instance of the Q15 FIR lattice structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
    */
   void arm_fir_lattice_q15(
   const arm_fir_lattice_instance_q15 * S,
@@ -3788,15 +3776,14 @@
   q15_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief Initialization function for the Q31 FIR lattice filter.
-   * @param[in] *S points to an instance of the Q31 FIR lattice structure.
+   * @param[in] S          points to an instance of the Q31 FIR lattice structure.
    * @param[in] numStages  number of filter stages.
-   * @param[in] *pCoeffs points to the coefficient buffer.  The array is of length numStages.
-   * @param[in] *pState points to the state buffer.   The array is of length numStages.
-   * @return none.
-   */
-
+   * @param[in] pCoeffs    points to the coefficient buffer.  The array is of length numStages.
+   * @param[in] pState     points to the state buffer.   The array is of length numStages.
+   */
   void arm_fir_lattice_init_q31(
   arm_fir_lattice_instance_q31 * S,
   uint16_t numStages,
@@ -3806,58 +3793,55 @@
 
   /**
    * @brief Processing function for the Q31 FIR lattice filter.
-   * @param[in]  *S        points to an instance of the Q31 FIR lattice structure.
-   * @param[in]  *pSrc     points to the block of input data.
-   * @param[out] *pDst     points to the block of output data
-   * @param[in]  blockSize number of samples to process.
-   * @return none.
-   */
-
+   * @param[in]  S          points to an instance of the Q31 FIR lattice structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data
+   * @param[in]  blockSize  number of samples to process.
+   */
   void arm_fir_lattice_q31(
   const arm_fir_lattice_instance_q31 * S,
   q31_t * pSrc,
   q31_t * pDst,
   uint32_t blockSize);
 
+
 /**
  * @brief Initialization function for the floating-point FIR lattice filter.
- * @param[in] *S points to an instance of the floating-point FIR lattice structure.
+ * @param[in] S          points to an instance of the floating-point FIR lattice structure.
  * @param[in] numStages  number of filter stages.
- * @param[in] *pCoeffs points to the coefficient buffer.  The array is of length numStages.
- * @param[in] *pState points to the state buffer.  The array is of length numStages.
- * @return none.
+ * @param[in] pCoeffs    points to the coefficient buffer.  The array is of length numStages.
+ * @param[in] pState     points to the state buffer.  The array is of length numStages.
  */
-
   void arm_fir_lattice_init_f32(
   arm_fir_lattice_instance_f32 * S,
   uint16_t numStages,
   float32_t * pCoeffs,
   float32_t * pState);
 
+
   /**
    * @brief Processing function for the floating-point FIR lattice filter.
-   * @param[in]  *S        points to an instance of the floating-point FIR lattice structure.
-   * @param[in]  *pSrc     points to the block of input data.
-   * @param[out] *pDst     points to the block of output data
-   * @param[in]  blockSize number of samples to process.
-   * @return none.
-   */
-
+   * @param[in]  S          points to an instance of the floating-point FIR lattice structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data
+   * @param[in]  blockSize  number of samples to process.
+   */
   void arm_fir_lattice_f32(
   const arm_fir_lattice_instance_f32 * S,
   float32_t * pSrc,
   float32_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief Instance structure for the Q15 IIR lattice filter.
    */
   typedef struct
   {
-    uint16_t numStages;                         /**< number of stages in the filter. */
-    q15_t *pState;                              /**< points to the state variable array. The array is of length numStages+blockSize. */
-    q15_t *pkCoeffs;                            /**< points to the reflection coefficient array. The array is of length numStages. */
-    q15_t *pvCoeffs;                            /**< points to the ladder coefficient array. The array is of length numStages+1. */
+    uint16_t numStages;                  /**< number of stages in the filter. */
+    q15_t *pState;                       /**< points to the state variable array. The array is of length numStages+blockSize. */
+    q15_t *pkCoeffs;                     /**< points to the reflection coefficient array. The array is of length numStages. */
+    q15_t *pvCoeffs;                     /**< points to the ladder coefficient array. The array is of length numStages+1. */
   } arm_iir_lattice_instance_q15;
 
   /**
@@ -3865,10 +3849,10 @@
    */
   typedef struct
   {
-    uint16_t numStages;                         /**< number of stages in the filter. */
-    q31_t *pState;                              /**< points to the state variable array. The array is of length numStages+blockSize. */
-    q31_t *pkCoeffs;                            /**< points to the reflection coefficient array. The array is of length numStages. */
-    q31_t *pvCoeffs;                            /**< points to the ladder coefficient array. The array is of length numStages+1. */
+    uint16_t numStages;                  /**< number of stages in the filter. */
+    q31_t *pState;                       /**< points to the state variable array. The array is of length numStages+blockSize. */
+    q31_t *pkCoeffs;                     /**< points to the reflection coefficient array. The array is of length numStages. */
+    q31_t *pvCoeffs;                     /**< points to the ladder coefficient array. The array is of length numStages+1. */
   } arm_iir_lattice_instance_q31;
 
   /**
@@ -3876,38 +3860,36 @@
    */
   typedef struct
   {
-    uint16_t numStages;                         /**< number of stages in the filter. */
-    float32_t *pState;                          /**< points to the state variable array. The array is of length numStages+blockSize. */
-    float32_t *pkCoeffs;                        /**< points to the reflection coefficient array. The array is of length numStages. */
-    float32_t *pvCoeffs;                        /**< points to the ladder coefficient array. The array is of length numStages+1. */
+    uint16_t numStages;                  /**< number of stages in the filter. */
+    float32_t *pState;                   /**< points to the state variable array. The array is of length numStages+blockSize. */
+    float32_t *pkCoeffs;                 /**< points to the reflection coefficient array. The array is of length numStages. */
+    float32_t *pvCoeffs;                 /**< points to the ladder coefficient array. The array is of length numStages+1. */
   } arm_iir_lattice_instance_f32;
 
+
   /**
    * @brief Processing function for the floating-point IIR lattice filter.
-   * @param[in] *S points to an instance of the floating-point IIR lattice structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-
+   * @param[in]  S          points to an instance of the floating-point IIR lattice structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
+   */
   void arm_iir_lattice_f32(
   const arm_iir_lattice_instance_f32 * S,
   float32_t * pSrc,
   float32_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief Initialization function for the floating-point IIR lattice filter.
-   * @param[in] *S points to an instance of the floating-point IIR lattice structure.
-   * @param[in] numStages number of stages in the filter.
-   * @param[in] *pkCoeffs points to the reflection coefficient buffer.  The array is of length numStages.
-   * @param[in] *pvCoeffs points to the ladder coefficient buffer.  The array is of length numStages+1.
-   * @param[in] *pState points to the state buffer.  The array is of length numStages+blockSize-1.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-
+   * @param[in] S          points to an instance of the floating-point IIR lattice structure.
+   * @param[in] numStages  number of stages in the filter.
+   * @param[in] pkCoeffs   points to the reflection coefficient buffer.  The array is of length numStages.
+   * @param[in] pvCoeffs   points to the ladder coefficient buffer.  The array is of length numStages+1.
+   * @param[in] pState     points to the state buffer.  The array is of length numStages+blockSize-1.
+   * @param[in] blockSize  number of samples to process.
+   */
   void arm_iir_lattice_init_f32(
   arm_iir_lattice_instance_f32 * S,
   uint16_t numStages,
@@ -3919,13 +3901,11 @@
 
   /**
    * @brief Processing function for the Q31 IIR lattice filter.
-   * @param[in] *S points to an instance of the Q31 IIR lattice structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-
+   * @param[in]  S          points to an instance of the Q31 IIR lattice structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
+   */
   void arm_iir_lattice_q31(
   const arm_iir_lattice_instance_q31 * S,
   q31_t * pSrc,
@@ -3935,15 +3915,13 @@
 
   /**
    * @brief Initialization function for the Q31 IIR lattice filter.
-   * @param[in] *S points to an instance of the Q31 IIR lattice structure.
-   * @param[in] numStages number of stages in the filter.
-   * @param[in] *pkCoeffs points to the reflection coefficient buffer.  The array is of length numStages.
-   * @param[in] *pvCoeffs points to the ladder coefficient buffer.  The array is of length numStages+1.
-   * @param[in] *pState points to the state buffer.  The array is of length numStages+blockSize.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-
+   * @param[in] S          points to an instance of the Q31 IIR lattice structure.
+   * @param[in] numStages  number of stages in the filter.
+   * @param[in] pkCoeffs   points to the reflection coefficient buffer.  The array is of length numStages.
+   * @param[in] pvCoeffs   points to the ladder coefficient buffer.  The array is of length numStages+1.
+   * @param[in] pState     points to the state buffer.  The array is of length numStages+blockSize.
+   * @param[in] blockSize  number of samples to process.
+   */
   void arm_iir_lattice_init_q31(
   arm_iir_lattice_instance_q31 * S,
   uint16_t numStages,
@@ -3955,13 +3933,11 @@
 
   /**
    * @brief Processing function for the Q15 IIR lattice filter.
-   * @param[in] *S points to an instance of the Q15 IIR lattice structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-
+   * @param[in]  S          points to an instance of the Q15 IIR lattice structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
+   */
   void arm_iir_lattice_q15(
   const arm_iir_lattice_instance_q15 * S,
   q15_t * pSrc,
@@ -3971,15 +3947,13 @@
 
 /**
  * @brief Initialization function for the Q15 IIR lattice filter.
- * @param[in] *S points to an instance of the fixed-point Q15 IIR lattice structure.
+ * @param[in] S          points to an instance of the fixed-point Q15 IIR lattice structure.
  * @param[in] numStages  number of stages in the filter.
- * @param[in] *pkCoeffs points to reflection coefficient buffer.  The array is of length numStages.
- * @param[in] *pvCoeffs points to ladder coefficient buffer.  The array is of length numStages+1.
- * @param[in] *pState points to state buffer.  The array is of length numStages+blockSize.
- * @param[in] blockSize number of samples to process per call.
- * @return none.
+ * @param[in] pkCoeffs   points to reflection coefficient buffer.  The array is of length numStages.
+ * @param[in] pvCoeffs   points to ladder coefficient buffer.  The array is of length numStages+1.
+ * @param[in] pState     points to state buffer.  The array is of length numStages+blockSize.
+ * @param[in] blockSize  number of samples to process per call.
  */
-
   void arm_iir_lattice_init_q15(
   arm_iir_lattice_instance_q15 * S,
   uint16_t numStages,
@@ -3988,10 +3962,10 @@
   q15_t * pState,
   uint32_t blockSize);
 
+
   /**
    * @brief Instance structure for the floating-point LMS filter.
    */
-
   typedef struct
   {
     uint16_t numTaps;    /**< number of coefficients in the filter. */
@@ -4000,17 +3974,16 @@
     float32_t mu;        /**< step size that controls filter coefficient updates. */
   } arm_lms_instance_f32;
 
+
   /**
    * @brief Processing function for floating-point LMS filter.
-   * @param[in]  *S points to an instance of the floating-point LMS filter structure.
-   * @param[in]  *pSrc points to the block of input data.
-   * @param[in]  *pRef points to the block of reference data.
-   * @param[out] *pOut points to the block of output data.
-   * @param[out] *pErr points to the block of error data.
-   * @param[in]  blockSize number of samples to process.
-   * @return     none.
-   */
-
+   * @param[in]  S          points to an instance of the floating-point LMS filter structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[in]  pRef       points to the block of reference data.
+   * @param[out] pOut       points to the block of output data.
+   * @param[out] pErr       points to the block of error data.
+   * @param[in]  blockSize  number of samples to process.
+   */
   void arm_lms_f32(
   const arm_lms_instance_f32 * S,
   float32_t * pSrc,
@@ -4019,17 +3992,16 @@
   float32_t * pErr,
   uint32_t blockSize);
 
+
   /**
    * @brief Initialization function for floating-point LMS filter.
-   * @param[in] *S points to an instance of the floating-point LMS filter structure.
-   * @param[in] numTaps  number of filter coefficients.
-   * @param[in] *pCoeffs points to the coefficient buffer.
-   * @param[in] *pState points to state buffer.
-   * @param[in] mu step size that controls filter coefficient updates.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-
+   * @param[in] S          points to an instance of the floating-point LMS filter structure.
+   * @param[in] numTaps    number of filter coefficients.
+   * @param[in] pCoeffs    points to the coefficient buffer.
+   * @param[in] pState     points to state buffer.
+   * @param[in] mu         step size that controls filter coefficient updates.
+   * @param[in] blockSize  number of samples to process.
+   */
   void arm_lms_init_f32(
   arm_lms_instance_f32 * S,
   uint16_t numTaps,
@@ -4038,10 +4010,10 @@
   float32_t mu,
   uint32_t blockSize);
 
+
   /**
    * @brief Instance structure for the Q15 LMS filter.
    */
-
   typedef struct
   {
     uint16_t numTaps;    /**< number of coefficients in the filter. */
@@ -4054,16 +4026,14 @@
 
   /**
    * @brief Initialization function for the Q15 LMS filter.
-   * @param[in] *S points to an instance of the Q15 LMS filter structure.
-   * @param[in] numTaps  number of filter coefficients.
-   * @param[in] *pCoeffs points to the coefficient buffer.
-   * @param[in] *pState points to the state buffer.
-   * @param[in] mu step size that controls filter coefficient updates.
-   * @param[in] blockSize number of samples to process.
-   * @param[in] postShift bit shift applied to coefficients.
-   * @return    none.
-   */
-
+   * @param[in] S          points to an instance of the Q15 LMS filter structure.
+   * @param[in] numTaps    number of filter coefficients.
+   * @param[in] pCoeffs    points to the coefficient buffer.
+   * @param[in] pState     points to the state buffer.
+   * @param[in] mu         step size that controls filter coefficient updates.
+   * @param[in] blockSize  number of samples to process.
+   * @param[in] postShift  bit shift applied to coefficients.
+   */
   void arm_lms_init_q15(
   arm_lms_instance_q15 * S,
   uint16_t numTaps,
@@ -4073,17 +4043,16 @@
   uint32_t blockSize,
   uint32_t postShift);
 
+
   /**
    * @brief Processing function for Q15 LMS filter.
-   * @param[in] *S points to an instance of the Q15 LMS filter structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[in] *pRef points to the block of reference data.
-   * @param[out] *pOut points to the block of output data.
-   * @param[out] *pErr points to the block of error data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-
+   * @param[in]  S          points to an instance of the Q15 LMS filter structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[in]  pRef       points to the block of reference data.
+   * @param[out] pOut       points to the block of output data.
+   * @param[out] pErr       points to the block of error data.
+   * @param[in]  blockSize  number of samples to process.
+   */
   void arm_lms_q15(
   const arm_lms_instance_q15 * S,
   q15_t * pSrc,
@@ -4096,7 +4065,6 @@
   /**
    * @brief Instance structure for the Q31 LMS filter.
    */
-
   typedef struct
   {
     uint16_t numTaps;    /**< number of coefficients in the filter. */
@@ -4104,20 +4072,18 @@
     q31_t *pCoeffs;      /**< points to the coefficient array. The array is of length numTaps. */
     q31_t mu;            /**< step size that controls filter coefficient updates. */
     uint32_t postShift;  /**< bit shift applied to coefficients. */
-
   } arm_lms_instance_q31;
 
+
   /**
    * @brief Processing function for Q31 LMS filter.
-   * @param[in]  *S points to an instance of the Q15 LMS filter structure.
-   * @param[in]  *pSrc points to the block of input data.
-   * @param[in]  *pRef points to the block of reference data.
-   * @param[out] *pOut points to the block of output data.
-   * @param[out] *pErr points to the block of error data.
-   * @param[in]  blockSize number of samples to process.
-   * @return     none.
-   */
-
+   * @param[in]  S          points to an instance of the Q15 LMS filter structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[in]  pRef       points to the block of reference data.
+   * @param[out] pOut       points to the block of output data.
+   * @param[out] pErr       points to the block of error data.
+   * @param[in]  blockSize  number of samples to process.
+   */
   void arm_lms_q31(
   const arm_lms_instance_q31 * S,
   q31_t * pSrc,
@@ -4126,18 +4092,17 @@
   q31_t * pErr,
   uint32_t blockSize);
 
+
   /**
    * @brief Initialization function for Q31 LMS filter.
-   * @param[in] *S points to an instance of the Q31 LMS filter structure.
-   * @param[in] numTaps  number of filter coefficients.
-   * @param[in] *pCoeffs points to coefficient buffer.
-   * @param[in] *pState points to state buffer.
-   * @param[in] mu step size that controls filter coefficient updates.
-   * @param[in] blockSize number of samples to process.
-   * @param[in] postShift bit shift applied to coefficients.
-   * @return none.
-   */
-
+   * @param[in] S          points to an instance of the Q31 LMS filter structure.
+   * @param[in] numTaps    number of filter coefficients.
+   * @param[in] pCoeffs    points to coefficient buffer.
+   * @param[in] pState     points to state buffer.
+   * @param[in] mu         step size that controls filter coefficient updates.
+   * @param[in] blockSize  number of samples to process.
+   * @param[in] postShift  bit shift applied to coefficients.
+   */
   void arm_lms_init_q31(
   arm_lms_instance_q31 * S,
   uint16_t numTaps,
@@ -4147,31 +4112,30 @@
   uint32_t blockSize,
   uint32_t postShift);
 
+
   /**
    * @brief Instance structure for the floating-point normalized LMS filter.
    */
-
   typedef struct
   {
     uint16_t numTaps;     /**< number of coefficients in the filter. */
     float32_t *pState;    /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
     float32_t *pCoeffs;   /**< points to the coefficient array. The array is of length numTaps. */
-    float32_t mu;        /**< step size that control filter coefficient updates. */
-    float32_t energy;    /**< saves previous frame energy. */
-    float32_t x0;        /**< saves previous input sample. */
+    float32_t mu;         /**< step size that control filter coefficient updates. */
+    float32_t energy;     /**< saves previous frame energy. */
+    float32_t x0;         /**< saves previous input sample. */
   } arm_lms_norm_instance_f32;
 
+
   /**
    * @brief Processing function for floating-point normalized LMS filter.
-   * @param[in] *S points to an instance of the floating-point normalized LMS filter structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[in] *pRef points to the block of reference data.
-   * @param[out] *pOut points to the block of output data.
-   * @param[out] *pErr points to the block of error data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-
+   * @param[in]  S          points to an instance of the floating-point normalized LMS filter structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[in]  pRef       points to the block of reference data.
+   * @param[out] pOut       points to the block of output data.
+   * @param[out] pErr       points to the block of error data.
+   * @param[in]  blockSize  number of samples to process.
+   */
   void arm_lms_norm_f32(
   arm_lms_norm_instance_f32 * S,
   float32_t * pSrc,
@@ -4180,17 +4144,16 @@
   float32_t * pErr,
   uint32_t blockSize);
 
+
   /**
    * @brief Initialization function for floating-point normalized LMS filter.
-   * @param[in] *S points to an instance of the floating-point LMS filter structure.
-   * @param[in] numTaps  number of filter coefficients.
-   * @param[in] *pCoeffs points to coefficient buffer.
-   * @param[in] *pState points to state buffer.
-   * @param[in] mu step size that controls filter coefficient updates.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-
+   * @param[in] S          points to an instance of the floating-point LMS filter structure.
+   * @param[in] numTaps    number of filter coefficients.
+   * @param[in] pCoeffs    points to coefficient buffer.
+   * @param[in] pState     points to state buffer.
+   * @param[in] mu         step size that controls filter coefficient updates.
+   * @param[in] blockSize  number of samples to process.
+   */
   void arm_lms_norm_init_f32(
   arm_lms_norm_instance_f32 * S,
   uint16_t numTaps,
@@ -4215,17 +4178,16 @@
     q31_t x0;             /**< saves previous input sample. */
   } arm_lms_norm_instance_q31;
 
+
   /**
    * @brief Processing function for Q31 normalized LMS filter.
-   * @param[in] *S points to an instance of the Q31 normalized LMS filter structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[in] *pRef points to the block of reference data.
-   * @param[out] *pOut points to the block of output data.
-   * @param[out] *pErr points to the block of error data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-
+   * @param[in]  S          points to an instance of the Q31 normalized LMS filter structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[in]  pRef       points to the block of reference data.
+   * @param[out] pOut       points to the block of output data.
+   * @param[out] pErr       points to the block of error data.
+   * @param[in]  blockSize  number of samples to process.
+   */
   void arm_lms_norm_q31(
   arm_lms_norm_instance_q31 * S,
   q31_t * pSrc,
@@ -4234,18 +4196,17 @@
   q31_t * pErr,
   uint32_t blockSize);
 
+
   /**
    * @brief Initialization function for Q31 normalized LMS filter.
-   * @param[in] *S points to an instance of the Q31 normalized LMS filter structure.
-   * @param[in] numTaps  number of filter coefficients.
-   * @param[in] *pCoeffs points to coefficient buffer.
-   * @param[in] *pState points to state buffer.
-   * @param[in] mu step size that controls filter coefficient updates.
-   * @param[in] blockSize number of samples to process.
-   * @param[in] postShift bit shift applied to coefficients.
-   * @return none.
-   */
-
+   * @param[in] S          points to an instance of the Q31 normalized LMS filter structure.
+   * @param[in] numTaps    number of filter coefficients.
+   * @param[in] pCoeffs    points to coefficient buffer.
+   * @param[in] pState     points to state buffer.
+   * @param[in] mu         step size that controls filter coefficient updates.
+   * @param[in] blockSize  number of samples to process.
+   * @param[in] postShift  bit shift applied to coefficients.
+   */
   void arm_lms_norm_init_q31(
   arm_lms_norm_instance_q31 * S,
   uint16_t numTaps,
@@ -4255,33 +4216,32 @@
   uint32_t blockSize,
   uint8_t postShift);
 
+
   /**
    * @brief Instance structure for the Q15 normalized LMS filter.
    */
-
   typedef struct
   {
-    uint16_t numTaps;    /**< Number of coefficients in the filter. */
+    uint16_t numTaps;     /**< Number of coefficients in the filter. */
     q15_t *pState;        /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
     q15_t *pCoeffs;       /**< points to the coefficient array. The array is of length numTaps. */
-    q15_t mu;            /**< step size that controls filter coefficient updates. */
-    uint8_t postShift;   /**< bit shift applied to coefficients. */
-    q15_t *recipTable;   /**< Points to the reciprocal initial value table. */
-    q15_t energy;        /**< saves previous frame energy. */
-    q15_t x0;            /**< saves previous input sample. */
+    q15_t mu;             /**< step size that controls filter coefficient updates. */
+    uint8_t postShift;    /**< bit shift applied to coefficients. */
+    q15_t *recipTable;    /**< Points to the reciprocal initial value table. */
+    q15_t energy;         /**< saves previous frame energy. */
+    q15_t x0;             /**< saves previous input sample. */
   } arm_lms_norm_instance_q15;
 
+
   /**
    * @brief Processing function for Q15 normalized LMS filter.
-   * @param[in] *S points to an instance of the Q15 normalized LMS filter structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[in] *pRef points to the block of reference data.
-   * @param[out] *pOut points to the block of output data.
-   * @param[out] *pErr points to the block of error data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-
+   * @param[in]  S          points to an instance of the Q15 normalized LMS filter structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[in]  pRef       points to the block of reference data.
+   * @param[out] pOut       points to the block of output data.
+   * @param[out] pErr       points to the block of error data.
+   * @param[in]  blockSize  number of samples to process.
+   */
   void arm_lms_norm_q15(
   arm_lms_norm_instance_q15 * S,
   q15_t * pSrc,
@@ -4293,16 +4253,14 @@
 
   /**
    * @brief Initialization function for Q15 normalized LMS filter.
-   * @param[in] *S points to an instance of the Q15 normalized LMS filter structure.
-   * @param[in] numTaps  number of filter coefficients.
-   * @param[in] *pCoeffs points to coefficient buffer.
-   * @param[in] *pState points to state buffer.
-   * @param[in] mu step size that controls filter coefficient updates.
-   * @param[in] blockSize number of samples to process.
-   * @param[in] postShift bit shift applied to coefficients.
-   * @return none.
-   */
-
+   * @param[in] S          points to an instance of the Q15 normalized LMS filter structure.
+   * @param[in] numTaps    number of filter coefficients.
+   * @param[in] pCoeffs    points to coefficient buffer.
+   * @param[in] pState     points to state buffer.
+   * @param[in] mu         step size that controls filter coefficient updates.
+   * @param[in] blockSize  number of samples to process.
+   * @param[in] postShift  bit shift applied to coefficients.
+   */
   void arm_lms_norm_init_q15(
   arm_lms_norm_instance_q15 * S,
   uint16_t numTaps,
@@ -4312,16 +4270,15 @@
   uint32_t blockSize,
   uint8_t postShift);
 
+
   /**
    * @brief Correlation of floating-point sequences.
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
-   * @return none.
-   */
-
+   * @param[in]  pSrcA    points to the first input sequence.
+   * @param[in]  srcALen  length of the first input sequence.
+   * @param[in]  pSrcB    points to the second input sequence.
+   * @param[in]  srcBLen  length of the second input sequence.
+   * @param[out] pDst     points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
+   */
   void arm_correlate_f32(
   float32_t * pSrcA,
   uint32_t srcALen,
@@ -4332,13 +4289,12 @@
 
    /**
    * @brief Correlation of Q15 sequences
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
-   * @param[in]  *pScratch points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
-   * @return none.
+   * @param[in]  pSrcA     points to the first input sequence.
+   * @param[in]  srcALen   length of the first input sequence.
+   * @param[in]  pSrcB     points to the second input sequence.
+   * @param[in]  srcBLen   length of the second input sequence.
+   * @param[out] pDst      points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
+   * @param[in]  pScratch  points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
    */
   void arm_correlate_opt_q15(
   q15_t * pSrcA,
@@ -4351,12 +4307,11 @@
 
   /**
    * @brief Correlation of Q15 sequences.
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
-   * @return none.
+   * @param[in]  pSrcA    points to the first input sequence.
+   * @param[in]  srcALen  length of the first input sequence.
+   * @param[in]  pSrcB    points to the second input sequence.
+   * @param[in]  srcBLen  length of the second input sequence.
+   * @param[out] pDst     points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
    */
 
   void arm_correlate_q15(
@@ -4366,36 +4321,33 @@
   uint32_t srcBLen,
   q15_t * pDst);
 
+
   /**
    * @brief Correlation of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
-   * @return none.
+   * @param[in]  pSrcA    points to the first input sequence.
+   * @param[in]  srcALen  length of the first input sequence.
+   * @param[in]  pSrcB    points to the second input sequence.
+   * @param[in]  srcBLen  length of the second input sequence.
+   * @param[out] pDst     points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
    */
 
   void arm_correlate_fast_q15(
-			       q15_t * pSrcA,
-			      uint32_t srcALen,
-			       q15_t * pSrcB,
-			      uint32_t srcBLen,
-			      q15_t * pDst);
-
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst);
 
 
   /**
    * @brief Correlation of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
-   * @param[in]  *pScratch points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
-   * @return none.
-   */
-
+   * @param[in]  pSrcA     points to the first input sequence.
+   * @param[in]  srcALen   length of the first input sequence.
+   * @param[in]  pSrcB     points to the second input sequence.
+   * @param[in]  srcBLen   length of the second input sequence.
+   * @param[out] pDst      points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
+   * @param[in]  pScratch  points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+   */
   void arm_correlate_fast_opt_q15(
   q15_t * pSrcA,
   uint32_t srcALen,
@@ -4404,16 +4356,15 @@
   q15_t * pDst,
   q15_t * pScratch);
 
+
   /**
    * @brief Correlation of Q31 sequences.
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
-   * @return none.
-   */
-
+   * @param[in]  pSrcA    points to the first input sequence.
+   * @param[in]  srcALen  length of the first input sequence.
+   * @param[in]  pSrcB    points to the second input sequence.
+   * @param[in]  srcBLen  length of the second input sequence.
+   * @param[out] pDst     points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
+   */
   void arm_correlate_q31(
   q31_t * pSrcA,
   uint32_t srcALen,
@@ -4421,16 +4372,15 @@
   uint32_t srcBLen,
   q31_t * pDst);
 
+
   /**
    * @brief Correlation of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
-   * @return none.
-   */
-
+   * @param[in]  pSrcA    points to the first input sequence.
+   * @param[in]  srcALen  length of the first input sequence.
+   * @param[in]  pSrcB    points to the second input sequence.
+   * @param[in]  srcBLen  length of the second input sequence.
+   * @param[out] pDst     points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
+   */
   void arm_correlate_fast_q31(
   q31_t * pSrcA,
   uint32_t srcALen,
@@ -4439,19 +4389,16 @@
   q31_t * pDst);
 
 
-
  /**
    * @brief Correlation of Q7 sequences.
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
-   * @param[in]  *pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
-   * @param[in]  *pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).
-   * @return none.
-   */
-
+   * @param[in]  pSrcA      points to the first input sequence.
+   * @param[in]  srcALen    length of the first input sequence.
+   * @param[in]  pSrcB      points to the second input sequence.
+   * @param[in]  srcBLen    length of the second input sequence.
+   * @param[out] pDst       points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
+   * @param[in]  pScratch1  points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+   * @param[in]  pScratch2  points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).
+   */
   void arm_correlate_opt_q7(
   q7_t * pSrcA,
   uint32_t srcALen,
@@ -4464,14 +4411,12 @@
 
   /**
    * @brief Correlation of Q7 sequences.
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
-   * @return none.
-   */
-
+   * @param[in]  pSrcA    points to the first input sequence.
+   * @param[in]  srcALen  length of the first input sequence.
+   * @param[in]  pSrcB    points to the second input sequence.
+   * @param[in]  srcBLen  length of the second input sequence.
+   * @param[out] pDst     points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
+   */
   void arm_correlate_q7(
   q7_t * pSrcA,
   uint32_t srcALen,
@@ -4496,7 +4441,6 @@
   /**
    * @brief Instance structure for the Q31 sparse FIR filter.
    */
-
   typedef struct
   {
     uint16_t numTaps;             /**< number of coefficients in the filter. */
@@ -4510,7 +4454,6 @@
   /**
    * @brief Instance structure for the Q15 sparse FIR filter.
    */
-
   typedef struct
   {
     uint16_t numTaps;             /**< number of coefficients in the filter. */
@@ -4524,7 +4467,6 @@
   /**
    * @brief Instance structure for the Q7 sparse FIR filter.
    */
-
   typedef struct
   {
     uint16_t numTaps;             /**< number of coefficients in the filter. */
@@ -4535,16 +4477,15 @@
     int32_t *pTapDelay;           /**< points to the array of delay values.  The array is of length numTaps. */
   } arm_fir_sparse_instance_q7;
 
+
   /**
    * @brief Processing function for the floating-point sparse FIR filter.
-   * @param[in]  *S          points to an instance of the floating-point sparse FIR structure.
-   * @param[in]  *pSrc       points to the block of input data.
-   * @param[out] *pDst       points to the block of output data
-   * @param[in]  *pScratchIn points to a temporary buffer of size blockSize.
+   * @param[in]  S           points to an instance of the floating-point sparse FIR structure.
+   * @param[in]  pSrc        points to the block of input data.
+   * @param[out] pDst        points to the block of output data
+   * @param[in]  pScratchIn  points to a temporary buffer of size blockSize.
    * @param[in]  blockSize   number of input samples to process per call.
-   * @return none.
-   */
-
+   */
   void arm_fir_sparse_f32(
   arm_fir_sparse_instance_f32 * S,
   float32_t * pSrc,
@@ -4552,18 +4493,17 @@
   float32_t * pScratchIn,
   uint32_t blockSize);
 
+
   /**
    * @brief  Initialization function for the floating-point sparse FIR filter.
-   * @param[in,out] *S         points to an instance of the floating-point sparse FIR structure.
+   * @param[in,out] S          points to an instance of the floating-point sparse FIR structure.
    * @param[in]     numTaps    number of nonzero coefficients in the filter.
-   * @param[in]     *pCoeffs   points to the array of filter coefficients.
-   * @param[in]     *pState    points to the state buffer.
-   * @param[in]     *pTapDelay points to the array of offset times.
+   * @param[in]     pCoeffs    points to the array of filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     pTapDelay  points to the array of offset times.
    * @param[in]     maxDelay   maximum offset time supported.
    * @param[in]     blockSize  number of samples that will be processed per block.
-   * @return none
-   */
-
+   */
   void arm_fir_sparse_init_f32(
   arm_fir_sparse_instance_f32 * S,
   uint16_t numTaps,
@@ -4573,16 +4513,15 @@
   uint16_t maxDelay,
   uint32_t blockSize);
 
+
   /**
    * @brief Processing function for the Q31 sparse FIR filter.
-   * @param[in]  *S          points to an instance of the Q31 sparse FIR structure.
-   * @param[in]  *pSrc       points to the block of input data.
-   * @param[out] *pDst       points to the block of output data
-   * @param[in]  *pScratchIn points to a temporary buffer of size blockSize.
+   * @param[in]  S           points to an instance of the Q31 sparse FIR structure.
+   * @param[in]  pSrc        points to the block of input data.
+   * @param[out] pDst        points to the block of output data
+   * @param[in]  pScratchIn  points to a temporary buffer of size blockSize.
    * @param[in]  blockSize   number of input samples to process per call.
-   * @return none.
-   */
-
+   */
   void arm_fir_sparse_q31(
   arm_fir_sparse_instance_q31 * S,
   q31_t * pSrc,
@@ -4590,18 +4529,17 @@
   q31_t * pScratchIn,
   uint32_t blockSize);
 
+
   /**
    * @brief  Initialization function for the Q31 sparse FIR filter.
-   * @param[in,out] *S         points to an instance of the Q31 sparse FIR structure.
+   * @param[in,out] S          points to an instance of the Q31 sparse FIR structure.
    * @param[in]     numTaps    number of nonzero coefficients in the filter.
-   * @param[in]     *pCoeffs   points to the array of filter coefficients.
-   * @param[in]     *pState    points to the state buffer.
-   * @param[in]     *pTapDelay points to the array of offset times.
+   * @param[in]     pCoeffs    points to the array of filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     pTapDelay  points to the array of offset times.
    * @param[in]     maxDelay   maximum offset time supported.
    * @param[in]     blockSize  number of samples that will be processed per block.
-   * @return none
-   */
-
+   */
   void arm_fir_sparse_init_q31(
   arm_fir_sparse_instance_q31 * S,
   uint16_t numTaps,
@@ -4611,17 +4549,16 @@
   uint16_t maxDelay,
   uint32_t blockSize);
 
+
   /**
    * @brief Processing function for the Q15 sparse FIR filter.
-   * @param[in]  *S           points to an instance of the Q15 sparse FIR structure.
-   * @param[in]  *pSrc        points to the block of input data.
-   * @param[out] *pDst        points to the block of output data
-   * @param[in]  *pScratchIn  points to a temporary buffer of size blockSize.
-   * @param[in]  *pScratchOut points to a temporary buffer of size blockSize.
+   * @param[in]  S            points to an instance of the Q15 sparse FIR structure.
+   * @param[in]  pSrc         points to the block of input data.
+   * @param[out] pDst         points to the block of output data
+   * @param[in]  pScratchIn   points to a temporary buffer of size blockSize.
+   * @param[in]  pScratchOut  points to a temporary buffer of size blockSize.
    * @param[in]  blockSize    number of input samples to process per call.
-   * @return none.
-   */
-
+   */
   void arm_fir_sparse_q15(
   arm_fir_sparse_instance_q15 * S,
   q15_t * pSrc,
@@ -4633,16 +4570,14 @@
 
   /**
    * @brief  Initialization function for the Q15 sparse FIR filter.
-   * @param[in,out] *S         points to an instance of the Q15 sparse FIR structure.
+   * @param[in,out] S          points to an instance of the Q15 sparse FIR structure.
    * @param[in]     numTaps    number of nonzero coefficients in the filter.
-   * @param[in]     *pCoeffs   points to the array of filter coefficients.
-   * @param[in]     *pState    points to the state buffer.
-   * @param[in]     *pTapDelay points to the array of offset times.
+   * @param[in]     pCoeffs    points to the array of filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     pTapDelay  points to the array of offset times.
    * @param[in]     maxDelay   maximum offset time supported.
    * @param[in]     blockSize  number of samples that will be processed per block.
-   * @return none
-   */
-
+   */
   void arm_fir_sparse_init_q15(
   arm_fir_sparse_instance_q15 * S,
   uint16_t numTaps,
@@ -4652,17 +4587,16 @@
   uint16_t maxDelay,
   uint32_t blockSize);
 
+
   /**
    * @brief Processing function for the Q7 sparse FIR filter.
-   * @param[in]  *S           points to an instance of the Q7 sparse FIR structure.
-   * @param[in]  *pSrc        points to the block of input data.
-   * @param[out] *pDst        points to the block of output data
-   * @param[in]  *pScratchIn  points to a temporary buffer of size blockSize.
-   * @param[in]  *pScratchOut points to a temporary buffer of size blockSize.
+   * @param[in]  S            points to an instance of the Q7 sparse FIR structure.
+   * @param[in]  pSrc         points to the block of input data.
+   * @param[out] pDst         points to the block of output data
+   * @param[in]  pScratchIn   points to a temporary buffer of size blockSize.
+   * @param[in]  pScratchOut  points to a temporary buffer of size blockSize.
    * @param[in]  blockSize    number of input samples to process per call.
-   * @return none.
-   */
-
+   */
   void arm_fir_sparse_q7(
   arm_fir_sparse_instance_q7 * S,
   q7_t * pSrc,
@@ -4671,18 +4605,17 @@
   q31_t * pScratchOut,
   uint32_t blockSize);
 
+
   /**
    * @brief  Initialization function for the Q7 sparse FIR filter.
-   * @param[in,out] *S         points to an instance of the Q7 sparse FIR structure.
+   * @param[in,out] S          points to an instance of the Q7 sparse FIR structure.
    * @param[in]     numTaps    number of nonzero coefficients in the filter.
-   * @param[in]     *pCoeffs   points to the array of filter coefficients.
-   * @param[in]     *pState    points to the state buffer.
-   * @param[in]     *pTapDelay points to the array of offset times.
+   * @param[in]     pCoeffs    points to the array of filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     pTapDelay  points to the array of offset times.
    * @param[in]     maxDelay   maximum offset time supported.
    * @param[in]     blockSize  number of samples that will be processed per block.
-   * @return none
-   */
-
+   */
   void arm_fir_sparse_init_q7(
   arm_fir_sparse_instance_q7 * S,
   uint16_t numTaps,
@@ -4693,27 +4626,24 @@
   uint32_t blockSize);
 
 
-  /*
+  /**
    * @brief  Floating-point sin_cos function.
-   * @param[in]  theta    input value in degrees
-   * @param[out] *pSinVal points to the processed sine output.
-   * @param[out] *pCosVal points to the processed cos output.
-   * @return none.
-   */
-
+   * @param[in]  theta   input value in degrees
+   * @param[out] pSinVal  points to the processed sine output.
+   * @param[out] pCosVal  points to the processed cos output.
+   */
   void arm_sin_cos_f32(
   float32_t theta,
   float32_t * pSinVal,
-  float32_t * pCcosVal);
-
-  /*
+  float32_t * pCosVal);
+
+
+  /**
    * @brief  Q31 sin_cos function.
    * @param[in]  theta    scaled input value in degrees
-   * @param[out] *pSinVal points to the processed sine output.
-   * @param[out] *pCosVal points to the processed cosine output.
-   * @return none.
-   */
-
+   * @param[out] pSinVal  points to the processed sine output.
+   * @param[out] pCosVal  points to the processed cosine output.
+   */
   void arm_sin_cos_q31(
   q31_t theta,
   q31_t * pSinVal,
@@ -4722,12 +4652,10 @@
 
   /**
    * @brief  Floating-point complex conjugate.
-   * @param[in]  *pSrc points to the input vector
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  numSamples number of complex samples in each vector
-   * @return none.
-   */
-
+   * @param[in]  pSrc        points to the input vector
+   * @param[out] pDst        points to the output vector
+   * @param[in]  numSamples  number of complex samples in each vector
+   */
   void arm_cmplx_conj_f32(
   float32_t * pSrc,
   float32_t * pDst,
@@ -4735,66 +4663,58 @@
 
   /**
    * @brief  Q31 complex conjugate.
-   * @param[in]  *pSrc points to the input vector
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  numSamples number of complex samples in each vector
-   * @return none.
-   */
-
+   * @param[in]  pSrc        points to the input vector
+   * @param[out] pDst        points to the output vector
+   * @param[in]  numSamples  number of complex samples in each vector
+   */
   void arm_cmplx_conj_q31(
   q31_t * pSrc,
   q31_t * pDst,
   uint32_t numSamples);
 
+
   /**
    * @brief  Q15 complex conjugate.
-   * @param[in]  *pSrc points to the input vector
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  numSamples number of complex samples in each vector
-   * @return none.
-   */
-
+   * @param[in]  pSrc        points to the input vector
+   * @param[out] pDst        points to the output vector
+   * @param[in]  numSamples  number of complex samples in each vector
+   */
   void arm_cmplx_conj_q15(
   q15_t * pSrc,
   q15_t * pDst,
   uint32_t numSamples);
 
 
-
   /**
    * @brief  Floating-point complex magnitude squared
-   * @param[in]  *pSrc points to the complex input vector
-   * @param[out]  *pDst points to the real output vector
-   * @param[in]  numSamples number of complex samples in the input vector
-   * @return none.
-   */
-
+   * @param[in]  pSrc        points to the complex input vector
+   * @param[out] pDst        points to the real output vector
+   * @param[in]  numSamples  number of complex samples in the input vector
+   */
   void arm_cmplx_mag_squared_f32(
   float32_t * pSrc,
   float32_t * pDst,
   uint32_t numSamples);
 
+
   /**
    * @brief  Q31 complex magnitude squared
-   * @param[in]  *pSrc points to the complex input vector
-   * @param[out]  *pDst points to the real output vector
-   * @param[in]  numSamples number of complex samples in the input vector
-   * @return none.
-   */
-
+   * @param[in]  pSrc        points to the complex input vector
+   * @param[out] pDst        points to the real output vector
+   * @param[in]  numSamples  number of complex samples in the input vector
+   */
   void arm_cmplx_mag_squared_q31(
   q31_t * pSrc,
   q31_t * pDst,
   uint32_t numSamples);
 
+
   /**
    * @brief  Q15 complex magnitude squared
-   * @param[in]  *pSrc points to the complex input vector
-   * @param[out]  *pDst points to the real output vector
-   * @param[in]  numSamples number of complex samples in the input vector
-   * @return none.
-   */
-
+   * @param[in]  pSrc        points to the complex input vector
+   * @param[out] pDst        points to the real output vector
+   * @param[in]  numSamples  number of complex samples in the input vector
+   */
   void arm_cmplx_mag_squared_q15(
   q15_t * pSrc,
   q15_t * pDst,
@@ -4869,12 +4789,10 @@
 
   /**
    * @brief  Process function for the floating-point PID Control.
-   * @param[in,out] *S is an instance of the floating-point PID Control structure
-   * @param[in] in input sample to process
+   * @param[in,out] S   is an instance of the floating-point PID Control structure
+   * @param[in]     in  input sample to process
    * @return out processed output sample.
    */
-
-
   static __INLINE float32_t arm_pid_f32(
   arm_pid_instance_f32 * S,
   float32_t in)
@@ -4897,8 +4815,8 @@
 
   /**
    * @brief  Process function for the Q31 PID Control.
-   * @param[in,out] *S points to an instance of the Q31 PID Control structure
-   * @param[in] in input sample to process
+   * @param[in,out] S  points to an instance of the Q31 PID Control structure
+   * @param[in]     in  input sample to process
    * @return out processed output sample.
    *
    * <b>Scaling and Overflow Behavior:</b>
@@ -4909,7 +4827,6 @@
    * In order to avoid overflows completely the input signal must be scaled down by 2 bits as there are four additions.
    * After all multiply-accumulates are performed, the 2.62 accumulator is truncated to 1.32 format and then saturated to 1.31 format.
    */
-
   static __INLINE q31_t arm_pid_q31(
   arm_pid_instance_q31 * S,
   q31_t in)
@@ -4939,13 +4856,13 @@
 
     /* return to application */
     return (out);
-
   }
 
+
   /**
    * @brief  Process function for the Q15 PID Control.
-   * @param[in,out] *S points to an instance of the Q15 PID Control structure
-   * @param[in] in input sample to process
+   * @param[in,out] S   points to an instance of the Q15 PID Control structure
+   * @param[in]     in  input sample to process
    * @return out processed output sample.
    *
    * <b>Scaling and Overflow Behavior:</b>
@@ -4957,7 +4874,6 @@
    * After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits.
    * Lastly, the accumulator is saturated to yield a result in 1.15 format.
    */
-
   static __INLINE q15_t arm_pid_q15(
   arm_pid_instance_q15 * S,
   q15_t in)
@@ -4971,12 +4887,11 @@
     /* Implementation of PID controller */
 
     /* acc = A0 * x[n]  */
-    acc = (q31_t) __SMUAD(S->A0, in);
+    acc = (q31_t) __SMUAD((uint32_t)S->A0, (uint32_t)in);
 
     /* acc += A1 * x[n-1] + A2 * x[n-2]  */
     vstate = __SIMD32_CONST(S->state);
-    acc = __SMLALD(S->A1, (q31_t) *vstate, acc);
-
+    acc = (q63_t)__SMLALD((uint32_t)S->A1, (uint32_t)*vstate, (uint64_t)acc);
 #else
     /* acc = A0 * x[n]  */
     acc = ((q31_t) S->A0) * in;
@@ -4984,7 +4899,6 @@
     /* acc += A1 * x[n-1] + A2 * x[n-2]  */
     acc += (q31_t) S->A1 * S->state[0];
     acc += (q31_t) S->A2 * S->state[1];
-
 #endif
 
     /* acc += y[n-1] */
@@ -5000,7 +4914,6 @@
 
     /* return to application */
     return (out);
-
   }
 
   /**
@@ -5010,23 +4923,33 @@
 
   /**
    * @brief Floating-point matrix inverse.
-   * @param[in]  *src points to the instance of the input floating-point matrix structure.
-   * @param[out] *dst points to the instance of the output floating-point matrix structure.
+   * @param[in]  src   points to the instance of the input floating-point matrix structure.
+   * @param[out] dst   points to the instance of the output floating-point matrix structure.
    * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match.
    * If the input matrix is singular (does not have an inverse), then the algorithm terminates and returns error status ARM_MATH_SINGULAR.
    */
-
   arm_status arm_mat_inverse_f32(
   const arm_matrix_instance_f32 * src,
   arm_matrix_instance_f32 * dst);
 
 
+  /**
+   * @brief Floating-point matrix inverse.
+   * @param[in]  src   points to the instance of the input floating-point matrix structure.
+   * @param[out] dst   points to the instance of the output floating-point matrix structure.
+   * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match.
+   * If the input matrix is singular (does not have an inverse), then the algorithm terminates and returns error status ARM_MATH_SINGULAR.
+   */
+  arm_status arm_mat_inverse_f64(
+  const arm_matrix_instance_f64 * src,
+  arm_matrix_instance_f64 * dst);
+
+
 
   /**
    * @ingroup groupController
    */
 
-
   /**
    * @defgroup clarke Vector Clarke Transform
    * Forward Clarke transform converts the instantaneous stator phases into a two-coordinate time invariant vector.
@@ -5057,13 +4980,11 @@
   /**
    *
    * @brief  Floating-point Clarke transform
-   * @param[in]       Ia       input three-phase coordinate <code>a</code>
-   * @param[in]       Ib       input three-phase coordinate <code>b</code>
-   * @param[out]      *pIalpha points to output two-phase orthogonal vector axis alpha
-   * @param[out]      *pIbeta  points to output two-phase orthogonal vector axis beta
-   * @return none.
-   */
-
+   * @param[in]  Ia       input three-phase coordinate <code>a</code>
+   * @param[in]  Ib       input three-phase coordinate <code>b</code>
+   * @param[out] pIalpha  points to output two-phase orthogonal vector axis alpha
+   * @param[out] pIbeta   points to output two-phase orthogonal vector axis beta
+   */
   static __INLINE void arm_clarke_f32(
   float32_t Ia,
   float32_t Ib,
@@ -5074,18 +4995,16 @@
     *pIalpha = Ia;
 
     /* Calculate pIbeta using the equation, pIbeta = (1/sqrt(3)) * Ia + (2/sqrt(3)) * Ib */
-    *pIbeta =
-      ((float32_t) 0.57735026919 * Ia + (float32_t) 1.15470053838 * Ib);
-
+    *pIbeta = ((float32_t) 0.57735026919 * Ia + (float32_t) 1.15470053838 * Ib);
   }
 
+
   /**
    * @brief  Clarke transform for Q31 version
-   * @param[in]       Ia       input three-phase coordinate <code>a</code>
-   * @param[in]       Ib       input three-phase coordinate <code>b</code>
-   * @param[out]      *pIalpha points to output two-phase orthogonal vector axis alpha
-   * @param[out]      *pIbeta  points to output two-phase orthogonal vector axis beta
-   * @return none.
+   * @param[in]  Ia       input three-phase coordinate <code>a</code>
+   * @param[in]  Ib       input three-phase coordinate <code>b</code>
+   * @param[out] pIalpha  points to output two-phase orthogonal vector axis alpha
+   * @param[out] pIbeta   points to output two-phase orthogonal vector axis beta
    *
    * <b>Scaling and Overflow Behavior:</b>
    * \par
@@ -5093,7 +5012,6 @@
    * The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format.
    * There is saturation on the addition, hence there is no risk of overflow.
    */
-
   static __INLINE void arm_clarke_q31(
   q31_t Ia,
   q31_t Ib,
@@ -5121,10 +5039,9 @@
 
   /**
    * @brief  Converts the elements of the Q7 vector to Q31 vector.
-   * @param[in]  *pSrc     input pointer
-   * @param[out]  *pDst    output pointer
-   * @param[in]  blockSize number of samples to process
-   * @return none.
+   * @param[in]  pSrc       input pointer
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
    */
   void arm_q7_to_q31(
   q7_t * pSrc,
@@ -5133,7 +5050,6 @@
 
 
 
-
   /**
    * @ingroup groupController
    */
@@ -5161,14 +5077,11 @@
 
    /**
    * @brief  Floating-point Inverse Clarke transform
-   * @param[in]       Ialpha  input two-phase orthogonal vector axis alpha
-   * @param[in]       Ibeta   input two-phase orthogonal vector axis beta
-   * @param[out]      *pIa    points to output three-phase coordinate <code>a</code>
-   * @param[out]      *pIb    points to output three-phase coordinate <code>b</code>
-   * @return none.
-   */
-
-
+   * @param[in]  Ialpha  input two-phase orthogonal vector axis alpha
+   * @param[in]  Ibeta   input two-phase orthogonal vector axis beta
+   * @param[out] pIa     points to output three-phase coordinate <code>a</code>
+   * @param[out] pIb     points to output three-phase coordinate <code>b</code>
+   */
   static __INLINE void arm_inv_clarke_f32(
   float32_t Ialpha,
   float32_t Ibeta,
@@ -5179,17 +5092,16 @@
     *pIa = Ialpha;
 
     /* Calculating pIb from Ialpha and Ibeta by equation pIb = -(1/2) * Ialpha + (sqrt(3)/2) * Ibeta */
-    *pIb = -0.5 * Ialpha + (float32_t) 0.8660254039 *Ibeta;
-
+    *pIb = -0.5f * Ialpha + 0.8660254039f * Ibeta;
   }
 
+
   /**
    * @brief  Inverse Clarke transform for Q31 version
-   * @param[in]       Ialpha  input two-phase orthogonal vector axis alpha
-   * @param[in]       Ibeta   input two-phase orthogonal vector axis beta
-   * @param[out]      *pIa    points to output three-phase coordinate <code>a</code>
-   * @param[out]      *pIb    points to output three-phase coordinate <code>b</code>
-   * @return none.
+   * @param[in]  Ialpha  input two-phase orthogonal vector axis alpha
+   * @param[in]  Ibeta   input two-phase orthogonal vector axis beta
+   * @param[out] pIa     points to output three-phase coordinate <code>a</code>
+   * @param[out] pIb     points to output three-phase coordinate <code>b</code>
    *
    * <b>Scaling and Overflow Behavior:</b>
    * \par
@@ -5197,7 +5109,6 @@
    * The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format.
    * There is saturation on the subtraction, hence there is no risk of overflow.
    */
-
   static __INLINE void arm_inv_clarke_q31(
   q31_t Ialpha,
   q31_t Ibeta,
@@ -5217,7 +5128,6 @@
 
     /* pIb is calculated by subtracting the products */
     *pIb = __QSUB(product2, product1);
-
   }
 
   /**
@@ -5226,10 +5136,9 @@
 
   /**
    * @brief  Converts the elements of the Q7 vector to Q15 vector.
-   * @param[in]  *pSrc     input pointer
-   * @param[out] *pDst     output pointer
-   * @param[in]  blockSize number of samples to process
-   * @return none.
+   * @param[in]  pSrc       input pointer
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
    */
   void arm_q7_to_q15(
   q7_t * pSrc,
@@ -5273,18 +5182,16 @@
 
   /**
    * @brief Floating-point Park transform
-   * @param[in]       Ialpha input two-phase vector coordinate alpha
-   * @param[in]       Ibeta  input two-phase vector coordinate beta
-   * @param[out]      *pId   points to output	rotor reference frame d
-   * @param[out]      *pIq   points to output	rotor reference frame q
-   * @param[in]       sinVal sine value of rotation angle theta
-   * @param[in]       cosVal cosine value of rotation angle theta
-   * @return none.
+   * @param[in]  Ialpha  input two-phase vector coordinate alpha
+   * @param[in]  Ibeta   input two-phase vector coordinate beta
+   * @param[out] pId     points to output   rotor reference frame d
+   * @param[out] pIq     points to output   rotor reference frame q
+   * @param[in]  sinVal  sine value of rotation angle theta
+   * @param[in]  cosVal  cosine value of rotation angle theta
    *
    * The function implements the forward Park transform.
    *
    */
-
   static __INLINE void arm_park_f32(
   float32_t Ialpha,
   float32_t Ibeta,
@@ -5298,18 +5205,17 @@
 
     /* Calculate pIq using the equation, pIq = - Ialpha * sinVal + Ibeta * cosVal */
     *pIq = -Ialpha * sinVal + Ibeta * cosVal;
-
   }
 
+
   /**
    * @brief  Park transform for Q31 version
-   * @param[in]       Ialpha input two-phase vector coordinate alpha
-   * @param[in]       Ibeta  input two-phase vector coordinate beta
-   * @param[out]      *pId   points to output rotor reference frame d
-   * @param[out]      *pIq   points to output rotor reference frame q
-   * @param[in]       sinVal sine value of rotation angle theta
-   * @param[in]       cosVal cosine value of rotation angle theta
-   * @return none.
+   * @param[in]  Ialpha  input two-phase vector coordinate alpha
+   * @param[in]  Ibeta   input two-phase vector coordinate beta
+   * @param[out] pId     points to output rotor reference frame d
+   * @param[out] pIq     points to output rotor reference frame q
+   * @param[in]  sinVal  sine value of rotation angle theta
+   * @param[in]  cosVal  cosine value of rotation angle theta
    *
    * <b>Scaling and Overflow Behavior:</b>
    * \par
@@ -5317,8 +5223,6 @@
    * The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format.
    * There is saturation on the addition and subtraction, hence there is no risk of overflow.
    */
-
-
   static __INLINE void arm_park_q31(
   q31_t Ialpha,
   q31_t Ibeta,
@@ -5356,10 +5260,9 @@
 
   /**
    * @brief  Converts the elements of the Q7 vector to floating-point vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[out]  *pDst is output pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @return none.
+   * @param[in]  pSrc       is input pointer
+   * @param[out] pDst       is output pointer
+   * @param[in]  blockSize  is the number of samples to process
    */
   void arm_q7_to_float(
   q7_t * pSrc,
@@ -5395,15 +5298,13 @@
 
    /**
    * @brief  Floating-point Inverse Park transform
-   * @param[in]       Id        input coordinate of rotor reference frame d
-   * @param[in]       Iq        input coordinate of rotor reference frame q
-   * @param[out]      *pIalpha  points to output two-phase orthogonal vector axis alpha
-   * @param[out]      *pIbeta   points to output two-phase orthogonal vector axis beta
-   * @param[in]       sinVal    sine value of rotation angle theta
-   * @param[in]       cosVal    cosine value of rotation angle theta
-   * @return none.
-   */
-
+   * @param[in]  Id       input coordinate of rotor reference frame d
+   * @param[in]  Iq       input coordinate of rotor reference frame q
+   * @param[out] pIalpha  points to output two-phase orthogonal vector axis alpha
+   * @param[out] pIbeta   points to output two-phase orthogonal vector axis beta
+   * @param[in]  sinVal   sine value of rotation angle theta
+   * @param[in]  cosVal   cosine value of rotation angle theta
+   */
   static __INLINE void arm_inv_park_f32(
   float32_t Id,
   float32_t Iq,
@@ -5417,19 +5318,17 @@
 
     /* Calculate pIbeta using the equation, pIbeta = Id * sinVal + Iq * cosVal */
     *pIbeta = Id * sinVal + Iq * cosVal;
-
   }
 
 
   /**
-   * @brief  Inverse Park transform for	Q31 version
-   * @param[in]       Id        input coordinate of rotor reference frame d
-   * @param[in]       Iq        input coordinate of rotor reference frame q
-   * @param[out]      *pIalpha  points to output two-phase orthogonal vector axis alpha
-   * @param[out]      *pIbeta   points to output two-phase orthogonal vector axis beta
-   * @param[in]       sinVal    sine value of rotation angle theta
-   * @param[in]       cosVal    cosine value of rotation angle theta
-   * @return none.
+   * @brief  Inverse Park transform for   Q31 version
+   * @param[in]  Id       input coordinate of rotor reference frame d
+   * @param[in]  Iq       input coordinate of rotor reference frame q
+   * @param[out] pIalpha  points to output two-phase orthogonal vector axis alpha
+   * @param[out] pIbeta   points to output two-phase orthogonal vector axis beta
+   * @param[in]  sinVal   sine value of rotation angle theta
+   * @param[in]  cosVal   cosine value of rotation angle theta
    *
    * <b>Scaling and Overflow Behavior:</b>
    * \par
@@ -5437,8 +5336,6 @@
    * The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format.
    * There is saturation on the addition, hence there is no risk of overflow.
    */
-
-
   static __INLINE void arm_inv_park_q31(
   q31_t Id,
   q31_t Iq,
@@ -5468,7 +5365,6 @@
 
     /* Calculate pIbeta by using the two intermediate products 3 and 4 */
     *pIbeta = __QADD(product4, product3);
-
   }
 
   /**
@@ -5478,10 +5374,9 @@
 
   /**
    * @brief  Converts the elements of the Q31 vector to floating-point vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[out]  *pDst is output pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @return none.
+   * @param[in]  pSrc       is input pointer
+   * @param[out] pDst       is output pointer
+   * @param[in]  blockSize  is the number of samples to process
    */
   void arm_q31_to_float(
   q31_t * pSrc,
@@ -5531,17 +5426,15 @@
 
   /**
    * @brief  Process function for the floating-point Linear Interpolation Function.
-   * @param[in,out] *S is an instance of the floating-point Linear Interpolation structure
-   * @param[in] x input sample to process
+   * @param[in,out] S  is an instance of the floating-point Linear Interpolation structure
+   * @param[in]     x  input sample to process
    * @return y processed output sample.
    *
    */
-
   static __INLINE float32_t arm_linear_interp_f32(
   arm_linear_interp_instance_f32 * S,
   float32_t x)
   {
-
     float32_t y;
     float32_t x0, x1;                            /* Nearest input values */
     float32_t y0, y1;                            /* Nearest output values */
@@ -5565,7 +5458,7 @@
     else
     {
       /* Calculation of nearest input values */
-      x0 = S->x1 + i * xSpacing;
+      x0 = S->x1 +  i      * xSpacing;
       x1 = S->x1 + (i + 1) * xSpacing;
 
       /* Read of nearest output values */
@@ -5581,12 +5474,13 @@
     return (y);
   }
 
+
    /**
    *
    * @brief  Process function for the Q31 Linear Interpolation Function.
-   * @param[in] *pYData  pointer to Q31 Linear Interpolation table
-   * @param[in] x input sample to process
-   * @param[in] nValues number of table values
+   * @param[in] pYData   pointer to Q31 Linear Interpolation table
+   * @param[in] x        input sample to process
+   * @param[in] nValues  number of table values
    * @return y processed output sample.
    *
    * \par
@@ -5594,8 +5488,6 @@
    * This function can support maximum of table size 2^12.
    *
    */
-
-
   static __INLINE q31_t arm_linear_interp_q31(
   q31_t * pYData,
   q31_t x,
@@ -5609,7 +5501,7 @@
     /* Input is in 12.20 format */
     /* 12 bits for the table index */
     /* Index value calculation */
-    index = ((x & 0xFFF00000) >> 20);
+    index = ((x & (q31_t)0xFFF00000) >> 20);
 
     if(index >= (int32_t)(nValues - 1))
     {
@@ -5621,14 +5513,13 @@
     }
     else
     {
-
       /* 20 bits for the fractional part */
       /* shift left by 11 to keep fract in 1.31 format */
       fract = (x & 0x000FFFFF) << 11;
 
       /* Read two nearest output values from the index in 1.31(q31) format */
       y0 = pYData[index];
-      y1 = pYData[index + 1u];
+      y1 = pYData[index + 1];
 
       /* Calculation of y0 * (1-fract) and y is in 2.30 format */
       y = ((q31_t) ((q63_t) y0 * (0x7FFFFFFF - fract) >> 32));
@@ -5638,17 +5529,16 @@
 
       /* Convert y to 1.31 format */
       return (y << 1u);
-
     }
-
   }
 
+
   /**
    *
    * @brief  Process function for the Q15 Linear Interpolation Function.
-   * @param[in] *pYData  pointer to Q15 Linear Interpolation table
-   * @param[in] x input sample to process
-   * @param[in] nValues number of table values
+   * @param[in] pYData   pointer to Q15 Linear Interpolation table
+   * @param[in] x        input sample to process
+   * @param[in] nValues  number of table values
    * @return y processed output sample.
    *
    * \par
@@ -5656,8 +5546,6 @@
    * This function can support maximum of table size 2^12.
    *
    */
-
-
   static __INLINE q15_t arm_linear_interp_q15(
   q15_t * pYData,
   q31_t x,
@@ -5671,7 +5559,7 @@
     /* Input is in 12.20 format */
     /* 12 bits for the table index */
     /* Index value calculation */
-    index = ((x & 0xFFF00000) >> 20u);
+    index = ((x & (int32_t)0xFFF00000) >> 20);
 
     if(index >= (int32_t)(nValues - 1))
     {
@@ -5689,7 +5577,7 @@
 
       /* Read two nearest output values from the index */
       y0 = pYData[index];
-      y1 = pYData[index + 1u];
+      y1 = pYData[index + 1];
 
       /* Calculation of y0 * (1-fract) and y is in 13.35 format */
       y = ((q63_t) y0 * (0xFFFFF - fract));
@@ -5698,26 +5586,23 @@
       y += ((q63_t) y1 * (fract));
 
       /* convert y to 1.15 format */
-      return (y >> 20);
+      return (q15_t) (y >> 20);
     }
-
-
   }
 
+
   /**
    *
    * @brief  Process function for the Q7 Linear Interpolation Function.
-   * @param[in] *pYData  pointer to Q7 Linear Interpolation table
-   * @param[in] x input sample to process
-   * @param[in] nValues number of table values
+   * @param[in] pYData   pointer to Q7 Linear Interpolation table
+   * @param[in] x        input sample to process
+   * @param[in] nValues  number of table values
    * @return y processed output sample.
    *
    * \par
    * Input sample <code>x</code> is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part.
    * This function can support maximum of table size 2^12.
    */
-
-
   static __INLINE q7_t arm_linear_interp_q7(
   q7_t * pYData,
   q31_t x,
@@ -5737,21 +5622,19 @@
     }
     index = (x >> 20) & 0xfff;
 
-
     if(index >= (nValues - 1))
     {
       return (pYData[nValues - 1]);
     }
     else
     {
-
       /* 20 bits for the fractional part */
       /* fract is in 12.20 format */
       fract = (x & 0x000FFFFF);
 
       /* Read two nearest output values from the index and are in 1.7(q7) format */
       y0 = pYData[index];
-      y1 = pYData[index + 1u];
+      y1 = pYData[index + 1];
 
       /* Calculation of y0 * (1-fract ) and y is in 13.27(q27) format */
       y = ((y0 * (0xFFFFF - fract)));
@@ -5760,66 +5643,64 @@
       y += (y1 * fract);
 
       /* convert y to 1.7(q7) format */
-      return (y >> 20u);
-
-    }
-
+      return (q7_t) (y >> 20);
+     }
   }
+
   /**
    * @} end of LinearInterpolate group
    */
 
   /**
    * @brief  Fast approximation to the trigonometric sine function for floating-point data.
-   * @param[in] x input value in radians.
+   * @param[in] x  input value in radians.
    * @return  sin(x).
    */
-
   float32_t arm_sin_f32(
   float32_t x);
 
+
   /**
    * @brief  Fast approximation to the trigonometric sine function for Q31 data.
-   * @param[in] x Scaled input value in radians.
+   * @param[in] x  Scaled input value in radians.
    * @return  sin(x).
    */
-
   q31_t arm_sin_q31(
   q31_t x);
 
+
   /**
    * @brief  Fast approximation to the trigonometric sine function for Q15 data.
-   * @param[in] x Scaled input value in radians.
+   * @param[in] x  Scaled input value in radians.
    * @return  sin(x).
    */
-
   q15_t arm_sin_q15(
   q15_t x);
 
+
   /**
    * @brief  Fast approximation to the trigonometric cosine function for floating-point data.
-   * @param[in] x input value in radians.
+   * @param[in] x  input value in radians.
    * @return  cos(x).
    */
-
   float32_t arm_cos_f32(
   float32_t x);
 
+
   /**
    * @brief Fast approximation to the trigonometric cosine function for Q31 data.
-   * @param[in] x Scaled input value in radians.
+   * @param[in] x  Scaled input value in radians.
    * @return  cos(x).
    */
-
   q31_t arm_cos_q31(
   q31_t x);
 
+
   /**
    * @brief  Fast approximation to the trigonometric cosine function for Q15 data.
-   * @param[in] x Scaled input value in radians.
+   * @param[in] x  Scaled input value in radians.
    * @return  cos(x).
    */
-
   q15_t arm_cos_q15(
   q15_t x);
 
@@ -5857,22 +5738,26 @@
 
   /**
    * @brief  Floating-point square root function.
-   * @param[in]  in     input value.
-   * @param[out] *pOut  square root of input value.
+   * @param[in]  in    input value.
+   * @param[out] pOut  square root of input value.
    * @return The function returns ARM_MATH_SUCCESS if input value is positive value or ARM_MATH_ARGUMENT_ERROR if
    * <code>in</code> is negative value and returns zero output for negative values.
    */
-
   static __INLINE arm_status arm_sqrt_f32(
   float32_t in,
   float32_t * pOut)
   {
-    if(in > 0)
+    if(in >= 0.0f)
     {
 
-//      #if __FPU_USED
-#if (__FPU_USED == 1) && defined ( __CC_ARM   )
+#if   (__FPU_USED == 1) && defined ( __CC_ARM   )
       *pOut = __sqrtf(in);
+#elif (__FPU_USED == 1) && (defined(__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050))
+      *pOut = __builtin_sqrtf(in);
+#elif (__FPU_USED == 1) && defined(__GNUC__)
+      *pOut = __builtin_sqrtf(in);
+#elif (__FPU_USED == 1) && defined ( __ICCARM__ ) && (__VER__ >= 6040000)
+      __ASM("VSQRT.F32 %0,%1" : "=t"(*pOut) : "t"(in));
 #else
       *pOut = sqrtf(in);
 #endif
@@ -5884,14 +5769,13 @@
       *pOut = 0.0f;
       return (ARM_MATH_ARGUMENT_ERROR);
     }
-
   }
 
 
   /**
    * @brief Q31 square root function.
-   * @param[in]   in    input value.  The range of the input value is [0 +1) or 0x00000000 to 0x7FFFFFFF.
-   * @param[out]  *pOut square root of input value.
+   * @param[in]  in    input value.  The range of the input value is [0 +1) or 0x00000000 to 0x7FFFFFFF.
+   * @param[out] pOut  square root of input value.
    * @return The function returns ARM_MATH_SUCCESS if input value is positive value or ARM_MATH_ARGUMENT_ERROR if
    * <code>in</code> is negative value and returns zero output for negative values.
    */
@@ -5899,10 +5783,11 @@
   q31_t in,
   q31_t * pOut);
 
+
   /**
    * @brief  Q15 square root function.
-   * @param[in]   in     input value.  The range of the input value is [0 +1) or 0x0000 to 0x7FFF.
-   * @param[out]  *pOut  square root of input value.
+   * @param[in]  in    input value.  The range of the input value is [0 +1) or 0x0000 to 0x7FFF.
+   * @param[out] pOut  square root of input value.
    * @return The function returns ARM_MATH_SUCCESS if input value is positive value or ARM_MATH_ARGUMENT_ERROR if
    * <code>in</code> is negative value and returns zero output for negative values.
    */
@@ -5915,14 +5800,9 @@
    */
 
 
-
-
-
-
   /**
    * @brief floating-point Circular write function.
    */
-
   static __INLINE void arm_circularWrite_f32(
   int32_t * circBuffer,
   int32_t L,
@@ -5960,7 +5840,7 @@
     }
 
     /* Update the index pointer */
-    *writeOffset = wOffset;
+    *writeOffset = (uint16_t)wOffset;
   }
 
 
@@ -6019,10 +5899,10 @@
     *readOffset = rOffset;
   }
 
+
   /**
    * @brief Q15 Circular write function.
    */
-
   static __INLINE void arm_circularWrite_q15(
   q15_t * circBuffer,
   int32_t L,
@@ -6060,11 +5940,10 @@
     }
 
     /* Update the index pointer */
-    *writeOffset = wOffset;
+    *writeOffset = (uint16_t)wOffset;
   }
 
 
-
   /**
    * @brief Q15 Circular Read function.
    */
@@ -6124,7 +6003,6 @@
   /**
    * @brief Q7 Circular write function.
    */
-
   static __INLINE void arm_circularWrite_q7(
   q7_t * circBuffer,
   int32_t L,
@@ -6162,11 +6040,10 @@
     }
 
     /* Update the index pointer */
-    *writeOffset = wOffset;
+    *writeOffset = (uint16_t)wOffset;
   }
 
 
-
   /**
    * @brief Q7 Circular Read function.
    */
@@ -6225,271 +6102,252 @@
 
   /**
    * @brief  Sum of the squares of the elements of a Q31 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
   void arm_power_q31(
   q31_t * pSrc,
   uint32_t blockSize,
   q63_t * pResult);
 
+
   /**
    * @brief  Sum of the squares of the elements of a floating-point vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
   void arm_power_f32(
   float32_t * pSrc,
   uint32_t blockSize,
   float32_t * pResult);
 
+
   /**
    * @brief  Sum of the squares of the elements of a Q15 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
   void arm_power_q15(
   q15_t * pSrc,
   uint32_t blockSize,
   q63_t * pResult);
 
+
   /**
    * @brief  Sum of the squares of the elements of a Q7 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
   void arm_power_q7(
   q7_t * pSrc,
   uint32_t blockSize,
   q31_t * pResult);
 
+
   /**
    * @brief  Mean value of a Q7 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
   void arm_mean_q7(
   q7_t * pSrc,
   uint32_t blockSize,
   q7_t * pResult);
 
+
   /**
    * @brief  Mean value of a Q15 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
    */
   void arm_mean_q15(
   q15_t * pSrc,
   uint32_t blockSize,
   q15_t * pResult);
 
+
   /**
    * @brief  Mean value of a Q31 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
    */
   void arm_mean_q31(
   q31_t * pSrc,
   uint32_t blockSize,
   q31_t * pResult);
 
+
   /**
    * @brief  Mean value of a floating-point vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
    */
   void arm_mean_f32(
   float32_t * pSrc,
   uint32_t blockSize,
   float32_t * pResult);
 
+
   /**
    * @brief  Variance of the elements of a floating-point vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
   void arm_var_f32(
   float32_t * pSrc,
   uint32_t blockSize,
   float32_t * pResult);
 
+
   /**
    * @brief  Variance of the elements of a Q31 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
   void arm_var_q31(
   q31_t * pSrc,
   uint32_t blockSize,
-  q63_t * pResult);
+  q31_t * pResult);
+
 
   /**
    * @brief  Variance of the elements of a Q15 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
   void arm_var_q15(
   q15_t * pSrc,
   uint32_t blockSize,
-  q31_t * pResult);
+  q15_t * pResult);
+
 
   /**
    * @brief  Root Mean Square of the elements of a floating-point vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
   void arm_rms_f32(
   float32_t * pSrc,
   uint32_t blockSize,
   float32_t * pResult);
 
+
   /**
    * @brief  Root Mean Square of the elements of a Q31 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
   void arm_rms_q31(
   q31_t * pSrc,
   uint32_t blockSize,
   q31_t * pResult);
 
+
   /**
    * @brief  Root Mean Square of the elements of a Q15 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
   void arm_rms_q15(
   q15_t * pSrc,
   uint32_t blockSize,
   q15_t * pResult);
 
+
   /**
    * @brief  Standard deviation of the elements of a floating-point vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
   void arm_std_f32(
   float32_t * pSrc,
   uint32_t blockSize,
   float32_t * pResult);
 
+
   /**
    * @brief  Standard deviation of the elements of a Q31 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
   void arm_std_q31(
   q31_t * pSrc,
   uint32_t blockSize,
   q31_t * pResult);
 
+
   /**
    * @brief  Standard deviation of the elements of a Q15 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
   void arm_std_q15(
   q15_t * pSrc,
   uint32_t blockSize,
   q15_t * pResult);
 
+
   /**
    * @brief  Floating-point complex magnitude
-   * @param[in]  *pSrc points to the complex input vector
-   * @param[out]  *pDst points to the real output vector
-   * @param[in]  numSamples number of complex samples in the input vector
-   * @return none.
-   */
-
+   * @param[in]  pSrc        points to the complex input vector
+   * @param[out] pDst        points to the real output vector
+   * @param[in]  numSamples  number of complex samples in the input vector
+   */
   void arm_cmplx_mag_f32(
   float32_t * pSrc,
   float32_t * pDst,
   uint32_t numSamples);
 
+
   /**
    * @brief  Q31 complex magnitude
-   * @param[in]  *pSrc points to the complex input vector
-   * @param[out]  *pDst points to the real output vector
-   * @param[in]  numSamples number of complex samples in the input vector
-   * @return none.
-   */
-
+   * @param[in]  pSrc        points to the complex input vector
+   * @param[out] pDst        points to the real output vector
+   * @param[in]  numSamples  number of complex samples in the input vector
+   */
   void arm_cmplx_mag_q31(
   q31_t * pSrc,
   q31_t * pDst,
   uint32_t numSamples);
 
+
   /**
    * @brief  Q15 complex magnitude
-   * @param[in]  *pSrc points to the complex input vector
-   * @param[out]  *pDst points to the real output vector
-   * @param[in]  numSamples number of complex samples in the input vector
-   * @return none.
-   */
-
+   * @param[in]  pSrc        points to the complex input vector
+   * @param[out] pDst        points to the real output vector
+   * @param[in]  numSamples  number of complex samples in the input vector
+   */
   void arm_cmplx_mag_q15(
   q15_t * pSrc,
   q15_t * pDst,
   uint32_t numSamples);
 
+
   /**
    * @brief  Q15 complex dot product
-   * @param[in]  *pSrcA points to the first input vector
-   * @param[in]  *pSrcB points to the second input vector
-   * @param[in]  numSamples number of complex samples in each vector
-   * @param[out]  *realResult real part of the result returned here
-   * @param[out]  *imagResult imaginary part of the result returned here
-   * @return none.
-   */
-
+   * @param[in]  pSrcA       points to the first input vector
+   * @param[in]  pSrcB       points to the second input vector
+   * @param[in]  numSamples  number of complex samples in each vector
+   * @param[out] realResult  real part of the result returned here
+   * @param[out] imagResult  imaginary part of the result returned here
+   */
   void arm_cmplx_dot_prod_q15(
   q15_t * pSrcA,
   q15_t * pSrcB,
@@ -6497,16 +6355,15 @@
   q31_t * realResult,
   q31_t * imagResult);
 
+
   /**
    * @brief  Q31 complex dot product
-   * @param[in]  *pSrcA points to the first input vector
-   * @param[in]  *pSrcB points to the second input vector
-   * @param[in]  numSamples number of complex samples in each vector
-   * @param[out]  *realResult real part of the result returned here
-   * @param[out]  *imagResult imaginary part of the result returned here
-   * @return none.
-   */
-
+   * @param[in]  pSrcA       points to the first input vector
+   * @param[in]  pSrcB       points to the second input vector
+   * @param[in]  numSamples  number of complex samples in each vector
+   * @param[out] realResult  real part of the result returned here
+   * @param[out] imagResult  imaginary part of the result returned here
+   */
   void arm_cmplx_dot_prod_q31(
   q31_t * pSrcA,
   q31_t * pSrcB,
@@ -6514,16 +6371,15 @@
   q63_t * realResult,
   q63_t * imagResult);
 
+
   /**
    * @brief  Floating-point complex dot product
-   * @param[in]  *pSrcA points to the first input vector
-   * @param[in]  *pSrcB points to the second input vector
-   * @param[in]  numSamples number of complex samples in each vector
-   * @param[out]  *realResult real part of the result returned here
-   * @param[out]  *imagResult imaginary part of the result returned here
-   * @return none.
-   */
-
+   * @param[in]  pSrcA       points to the first input vector
+   * @param[in]  pSrcB       points to the second input vector
+   * @param[in]  numSamples  number of complex samples in each vector
+   * @param[out] realResult  real part of the result returned here
+   * @param[out] imagResult  imaginary part of the result returned here
+   */
   void arm_cmplx_dot_prod_f32(
   float32_t * pSrcA,
   float32_t * pSrcB,
@@ -6531,88 +6387,83 @@
   float32_t * realResult,
   float32_t * imagResult);
 
+
   /**
    * @brief  Q15 complex-by-real multiplication
-   * @param[in]  *pSrcCmplx points to the complex input vector
-   * @param[in]  *pSrcReal points to the real input vector
-   * @param[out]  *pCmplxDst points to the complex output vector
-   * @param[in]  numSamples number of samples in each vector
-   * @return none.
-   */
-
+   * @param[in]  pSrcCmplx   points to the complex input vector
+   * @param[in]  pSrcReal    points to the real input vector
+   * @param[out] pCmplxDst   points to the complex output vector
+   * @param[in]  numSamples  number of samples in each vector
+   */
   void arm_cmplx_mult_real_q15(
   q15_t * pSrcCmplx,
   q15_t * pSrcReal,
   q15_t * pCmplxDst,
   uint32_t numSamples);
 
+
   /**
    * @brief  Q31 complex-by-real multiplication
-   * @param[in]  *pSrcCmplx points to the complex input vector
-   * @param[in]  *pSrcReal points to the real input vector
-   * @param[out]  *pCmplxDst points to the complex output vector
-   * @param[in]  numSamples number of samples in each vector
-   * @return none.
-   */
-
+   * @param[in]  pSrcCmplx   points to the complex input vector
+   * @param[in]  pSrcReal    points to the real input vector
+   * @param[out] pCmplxDst   points to the complex output vector
+   * @param[in]  numSamples  number of samples in each vector
+   */
   void arm_cmplx_mult_real_q31(
   q31_t * pSrcCmplx,
   q31_t * pSrcReal,
   q31_t * pCmplxDst,
   uint32_t numSamples);
 
+
   /**
    * @brief  Floating-point complex-by-real multiplication
-   * @param[in]  *pSrcCmplx points to the complex input vector
-   * @param[in]  *pSrcReal points to the real input vector
-   * @param[out]  *pCmplxDst points to the complex output vector
-   * @param[in]  numSamples number of samples in each vector
-   * @return none.
-   */
-
+   * @param[in]  pSrcCmplx   points to the complex input vector
+   * @param[in]  pSrcReal    points to the real input vector
+   * @param[out] pCmplxDst   points to the complex output vector
+   * @param[in]  numSamples  number of samples in each vector
+   */
   void arm_cmplx_mult_real_f32(
   float32_t * pSrcCmplx,
   float32_t * pSrcReal,
   float32_t * pCmplxDst,
   uint32_t numSamples);
 
+
   /**
    * @brief  Minimum value of a Q7 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *result is output pointer
-   * @param[in]  index is the array index of the minimum value in the input buffer.
-   * @return none.
-   */
-
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] result     is output pointer
+   * @param[in]  index      is the array index of the minimum value in the input buffer.
+   */
   void arm_min_q7(
   q7_t * pSrc,
   uint32_t blockSize,
   q7_t * result,
   uint32_t * index);
 
+
   /**
    * @brief  Minimum value of a Q15 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output pointer
-   * @param[in]  *pIndex is the array index of the minimum value in the input buffer.
-   * @return none.
-   */
-
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output pointer
+   * @param[in]  pIndex     is the array index of the minimum value in the input buffer.
+   */
   void arm_min_q15(
   q15_t * pSrc,
   uint32_t blockSize,
   q15_t * pResult,
   uint32_t * pIndex);
 
+
   /**
    * @brief  Minimum value of a Q31 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output pointer
-   * @param[out]  *pIndex is the array index of the minimum value in the input buffer.
-   * @return none.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output pointer
+   * @param[out] pIndex     is the array index of the minimum value in the input buffer.
    */
   void arm_min_q31(
   q31_t * pSrc,
@@ -6620,156 +6471,148 @@
   q31_t * pResult,
   uint32_t * pIndex);
 
+
   /**
    * @brief  Minimum value of a floating-point vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output pointer
-   * @param[out]  *pIndex is the array index of the minimum value in the input buffer.
-   * @return none.
-   */
-
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output pointer
+   * @param[out] pIndex     is the array index of the minimum value in the input buffer.
+   */
   void arm_min_f32(
   float32_t * pSrc,
   uint32_t blockSize,
   float32_t * pResult,
   uint32_t * pIndex);
 
+
 /**
  * @brief Maximum value of a Q7 vector.
- * @param[in]       *pSrc points to the input buffer
- * @param[in]       blockSize length of the input vector
- * @param[out]      *pResult maximum value returned here
- * @param[out]      *pIndex index of maximum value returned here
- * @return none.
+ * @param[in]  pSrc       points to the input buffer
+ * @param[in]  blockSize  length of the input vector
+ * @param[out] pResult    maximum value returned here
+ * @param[out] pIndex     index of maximum value returned here
  */
-
   void arm_max_q7(
   q7_t * pSrc,
   uint32_t blockSize,
   q7_t * pResult,
   uint32_t * pIndex);
 
+
 /**
  * @brief Maximum value of a Q15 vector.
- * @param[in]       *pSrc points to the input buffer
- * @param[in]       blockSize length of the input vector
- * @param[out]      *pResult maximum value returned here
- * @param[out]      *pIndex index of maximum value returned here
- * @return none.
+ * @param[in]  pSrc       points to the input buffer
+ * @param[in]  blockSize  length of the input vector
+ * @param[out] pResult    maximum value returned here
+ * @param[out] pIndex     index of maximum value returned here
  */
-
   void arm_max_q15(
   q15_t * pSrc,
   uint32_t blockSize,
   q15_t * pResult,
   uint32_t * pIndex);
 
+
 /**
  * @brief Maximum value of a Q31 vector.
- * @param[in]       *pSrc points to the input buffer
- * @param[in]       blockSize length of the input vector
- * @param[out]      *pResult maximum value returned here
- * @param[out]      *pIndex index of maximum value returned here
- * @return none.
+ * @param[in]  pSrc       points to the input buffer
+ * @param[in]  blockSize  length of the input vector
+ * @param[out] pResult    maximum value returned here
+ * @param[out] pIndex     index of maximum value returned here
  */
-
   void arm_max_q31(
   q31_t * pSrc,
   uint32_t blockSize,
   q31_t * pResult,
   uint32_t * pIndex);
 
+
 /**
  * @brief Maximum value of a floating-point vector.
- * @param[in]       *pSrc points to the input buffer
- * @param[in]       blockSize length of the input vector
- * @param[out]      *pResult maximum value returned here
- * @param[out]      *pIndex index of maximum value returned here
- * @return none.
+ * @param[in]  pSrc       points to the input buffer
+ * @param[in]  blockSize  length of the input vector
+ * @param[out] pResult    maximum value returned here
+ * @param[out] pIndex     index of maximum value returned here
  */
-
   void arm_max_f32(
   float32_t * pSrc,
   uint32_t blockSize,
   float32_t * pResult,
   uint32_t * pIndex);
 
+
   /**
    * @brief  Q15 complex-by-complex multiplication
-   * @param[in]  *pSrcA points to the first input vector
-   * @param[in]  *pSrcB points to the second input vector
-   * @param[out]  *pDst  points to the output vector
-   * @param[in]  numSamples number of complex samples in each vector
-   * @return none.
-   */
-
+   * @param[in]  pSrcA       points to the first input vector
+   * @param[in]  pSrcB       points to the second input vector
+   * @param[out] pDst        points to the output vector
+   * @param[in]  numSamples  number of complex samples in each vector
+   */
   void arm_cmplx_mult_cmplx_q15(
   q15_t * pSrcA,
   q15_t * pSrcB,
   q15_t * pDst,
   uint32_t numSamples);
 
+
   /**
    * @brief  Q31 complex-by-complex multiplication
-   * @param[in]  *pSrcA points to the first input vector
-   * @param[in]  *pSrcB points to the second input vector
-   * @param[out]  *pDst  points to the output vector
-   * @param[in]  numSamples number of complex samples in each vector
-   * @return none.
-   */
-
+   * @param[in]  pSrcA       points to the first input vector
+   * @param[in]  pSrcB       points to the second input vector
+   * @param[out] pDst        points to the output vector
+   * @param[in]  numSamples  number of complex samples in each vector
+   */
   void arm_cmplx_mult_cmplx_q31(
   q31_t * pSrcA,
   q31_t * pSrcB,
   q31_t * pDst,
   uint32_t numSamples);
 
+
   /**
    * @brief  Floating-point complex-by-complex multiplication
-   * @param[in]  *pSrcA points to the first input vector
-   * @param[in]  *pSrcB points to the second input vector
-   * @param[out]  *pDst  points to the output vector
-   * @param[in]  numSamples number of complex samples in each vector
-   * @return none.
-   */
-
+   * @param[in]  pSrcA       points to the first input vector
+   * @param[in]  pSrcB       points to the second input vector
+   * @param[out] pDst        points to the output vector
+   * @param[in]  numSamples  number of complex samples in each vector
+   */
   void arm_cmplx_mult_cmplx_f32(
   float32_t * pSrcA,
   float32_t * pSrcB,
   float32_t * pDst,
   uint32_t numSamples);
 
+
   /**
    * @brief Converts the elements of the floating-point vector to Q31 vector.
-   * @param[in]       *pSrc points to the floating-point input vector
-   * @param[out]      *pDst points to the Q31 output vector
-   * @param[in]       blockSize length of the input vector
-   * @return none.
+   * @param[in]  pSrc       points to the floating-point input vector
+   * @param[out] pDst       points to the Q31 output vector
+   * @param[in]  blockSize  length of the input vector
    */
   void arm_float_to_q31(
   float32_t * pSrc,
   q31_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief Converts the elements of the floating-point vector to Q15 vector.
-   * @param[in]       *pSrc points to the floating-point input vector
-   * @param[out]      *pDst points to the Q15 output vector
-   * @param[in]       blockSize length of the input vector
-   * @return          none
+   * @param[in]  pSrc       points to the floating-point input vector
+   * @param[out] pDst       points to the Q15 output vector
+   * @param[in]  blockSize  length of the input vector
    */
   void arm_float_to_q15(
   float32_t * pSrc,
   q15_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief Converts the elements of the floating-point vector to Q7 vector.
-   * @param[in]       *pSrc points to the floating-point input vector
-   * @param[out]      *pDst points to the Q7 output vector
-   * @param[in]       blockSize length of the input vector
-   * @return          none
+   * @param[in]  pSrc       points to the floating-point input vector
+   * @param[out] pDst       points to the Q7 output vector
+   * @param[in]  blockSize  length of the input vector
    */
   void arm_float_to_q7(
   float32_t * pSrc,
@@ -6779,34 +6622,33 @@
 
   /**
    * @brief  Converts the elements of the Q31 vector to Q15 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[out]  *pDst is output pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @return none.
+   * @param[in]  pSrc       is input pointer
+   * @param[out] pDst       is output pointer
+   * @param[in]  blockSize  is the number of samples to process
    */
   void arm_q31_to_q15(
   q31_t * pSrc,
   q15_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief  Converts the elements of the Q31 vector to Q7 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[out]  *pDst is output pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @return none.
+   * @param[in]  pSrc       is input pointer
+   * @param[out] pDst       is output pointer
+   * @param[in]  blockSize  is the number of samples to process
    */
   void arm_q31_to_q7(
   q31_t * pSrc,
   q7_t * pDst,
   uint32_t blockSize);
 
+
   /**
    * @brief  Converts the elements of the Q15 vector to floating-point vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[out]  *pDst is output pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @return none.
+   * @param[in]  pSrc       is input pointer
+   * @param[out] pDst       is output pointer
+   * @param[in]  blockSize  is the number of samples to process
    */
   void arm_q15_to_float(
   q15_t * pSrc,
@@ -6816,10 +6658,9 @@
 
   /**
    * @brief  Converts the elements of the Q15 vector to Q31 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[out]  *pDst is output pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @return none.
+   * @param[in]  pSrc       is input pointer
+   * @param[out] pDst       is output pointer
+   * @param[in]  blockSize  is the number of samples to process
    */
   void arm_q15_to_q31(
   q15_t * pSrc,
@@ -6829,10 +6670,9 @@
 
   /**
    * @brief  Converts the elements of the Q15 vector to Q7 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[out]  *pDst is output pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @return none.
+   * @param[in]  pSrc       is input pointer
+   * @param[out] pDst       is output pointer
+   * @param[in]  blockSize  is the number of samples to process
    */
   void arm_q15_to_q7(
   q15_t * pSrc,
@@ -6901,16 +6741,15 @@
    * @{
    */
 
+
   /**
   *
   * @brief  Floating-point bilinear interpolation.
-  * @param[in,out] *S points to an instance of the interpolation structure.
-  * @param[in] X interpolation coordinate.
-  * @param[in] Y interpolation coordinate.
+  * @param[in,out] S  points to an instance of the interpolation structure.
+  * @param[in]     X  interpolation coordinate.
+  * @param[in]     Y  interpolation coordinate.
   * @return out interpolated value.
   */
-
-
   static __INLINE float32_t arm_bilinear_interp_f32(
   const arm_bilinear_interp_instance_f32 * S,
   float32_t X,
@@ -6928,8 +6767,7 @@
 
     /* Care taken for table outside boundary */
     /* Returns zero output when values are outside table boundary */
-    if(xIndex < 0 || xIndex > (S->numRows - 1) || yIndex < 0
-       || yIndex > (S->numCols - 1))
+    if(xIndex < 0 || xIndex > (S->numRows - 1) || yIndex < 0 || yIndex > (S->numCols - 1))
     {
       return (0);
     }
@@ -6967,18 +6805,17 @@
 
     /* return to application */
     return (out);
-
   }
 
+
   /**
   *
   * @brief  Q31 bilinear interpolation.
-  * @param[in,out] *S points to an instance of the interpolation structure.
-  * @param[in] X interpolation coordinate in 12.20 format.
-  * @param[in] Y interpolation coordinate in 12.20 format.
+  * @param[in,out] S  points to an instance of the interpolation structure.
+  * @param[in]     X  interpolation coordinate in 12.20 format.
+  * @param[in]     Y  interpolation coordinate in 12.20 format.
   * @return out interpolated value.
   */
-
   static __INLINE q31_t arm_bilinear_interp_q31(
   arm_bilinear_interp_instance_q31 * S,
   q31_t X,
@@ -6992,16 +6829,15 @@
     q31_t *pYData = S->pData;                    /* pointer to output table values */
     uint32_t nCols = S->numCols;                 /* num of rows */
 
+    /* Input is in 12.20 format */
+    /* 12 bits for the table index */
+    /* Index value calculation */
+    rI = ((X & (q31_t)0xFFF00000) >> 20);
 
     /* Input is in 12.20 format */
     /* 12 bits for the table index */
     /* Index value calculation */
-    rI = ((X & 0xFFF00000) >> 20u);
-
-    /* Input is in 12.20 format */
-    /* 12 bits for the table index */
-    /* Index value calculation */
-    cI = ((Y & 0xFFF00000) >> 20u);
+    cI = ((Y & (q31_t)0xFFF00000) >> 20);
 
     /* Care taken for table outside boundary */
     /* Returns zero output when values are outside table boundary */
@@ -7015,19 +6851,19 @@
     xfract = (X & 0x000FFFFF) << 11u;
 
     /* Read two nearest output values from the index */
-    x1 = pYData[(rI) + nCols * (cI)];
-    x2 = pYData[(rI) + nCols * (cI) + 1u];
+    x1 = pYData[(rI) + (int32_t)nCols * (cI)    ];
+    x2 = pYData[(rI) + (int32_t)nCols * (cI) + 1];
 
     /* 20 bits for the fractional part */
     /* shift left yfract by 11 to keep 1.31 format */
     yfract = (Y & 0x000FFFFF) << 11u;
 
     /* Read two nearest output values from the index */
-    y1 = pYData[(rI) + nCols * (cI + 1)];
-    y2 = pYData[(rI) + nCols * (cI + 1) + 1u];
+    y1 = pYData[(rI) + (int32_t)nCols * (cI + 1)    ];
+    y2 = pYData[(rI) + (int32_t)nCols * (cI + 1) + 1];
 
     /* Calculation of x1 * (1-xfract ) * (1-yfract) and acc is in 3.29(q29) format */
-    out = ((q31_t) (((q63_t) x1 * (0x7FFFFFFF - xfract)) >> 32));
+    out = ((q31_t) (((q63_t) x1  * (0x7FFFFFFF - xfract)) >> 32));
     acc = ((q31_t) (((q63_t) out * (0x7FFFFFFF - yfract)) >> 32));
 
     /* x2 * (xfract) * (1-yfract)  in 3.29(q29) and adding to acc */
@@ -7043,18 +6879,17 @@
     acc += ((q31_t) ((q63_t) out * (yfract) >> 32));
 
     /* Convert acc to 1.31(q31) format */
-    return (acc << 2u);
-
+    return ((q31_t)(acc << 2));
   }
 
+
   /**
   * @brief  Q15 bilinear interpolation.
-  * @param[in,out] *S points to an instance of the interpolation structure.
-  * @param[in] X interpolation coordinate in 12.20 format.
-  * @param[in] Y interpolation coordinate in 12.20 format.
+  * @param[in,out] S  points to an instance of the interpolation structure.
+  * @param[in]     X  interpolation coordinate in 12.20 format.
+  * @param[in]     Y  interpolation coordinate in 12.20 format.
   * @return out interpolated value.
   */
-
   static __INLINE q15_t arm_bilinear_interp_q15(
   arm_bilinear_interp_instance_q15 * S,
   q31_t X,
@@ -7071,12 +6906,12 @@
     /* Input is in 12.20 format */
     /* 12 bits for the table index */
     /* Index value calculation */
-    rI = ((X & 0xFFF00000) >> 20);
+    rI = ((X & (q31_t)0xFFF00000) >> 20);
 
     /* Input is in 12.20 format */
     /* 12 bits for the table index */
     /* Index value calculation */
-    cI = ((Y & 0xFFF00000) >> 20);
+    cI = ((Y & (q31_t)0xFFF00000) >> 20);
 
     /* Care taken for table outside boundary */
     /* Returns zero output when values are outside table boundary */
@@ -7090,17 +6925,16 @@
     xfract = (X & 0x000FFFFF);
 
     /* Read two nearest output values from the index */
-    x1 = pYData[(rI) + nCols * (cI)];
-    x2 = pYData[(rI) + nCols * (cI) + 1u];
-
+    x1 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI)    ];
+    x2 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI) + 1];
 
     /* 20 bits for the fractional part */
     /* yfract should be in 12.20 format */
     yfract = (Y & 0x000FFFFF);
 
     /* Read two nearest output values from the index */
-    y1 = pYData[(rI) + nCols * (cI + 1)];
-    y2 = pYData[(rI) + nCols * (cI + 1) + 1u];
+    y1 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI + 1)    ];
+    y2 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI + 1) + 1];
 
     /* Calculation of x1 * (1-xfract ) * (1-yfract) and acc is in 13.51 format */
 
@@ -7123,18 +6957,17 @@
 
     /* acc is in 13.51 format and down shift acc by 36 times */
     /* Convert out to 1.15 format */
-    return (acc >> 36);
-
+    return ((q15_t)(acc >> 36));
   }
 
+
   /**
   * @brief  Q7 bilinear interpolation.
-  * @param[in,out] *S points to an instance of the interpolation structure.
-  * @param[in] X interpolation coordinate in 12.20 format.
-  * @param[in] Y interpolation coordinate in 12.20 format.
+  * @param[in,out] S  points to an instance of the interpolation structure.
+  * @param[in]     X  interpolation coordinate in 12.20 format.
+  * @param[in]     Y  interpolation coordinate in 12.20 format.
   * @return out interpolated value.
   */
-
   static __INLINE q7_t arm_bilinear_interp_q7(
   arm_bilinear_interp_instance_q7 * S,
   q31_t X,
@@ -7151,12 +6984,12 @@
     /* Input is in 12.20 format */
     /* 12 bits for the table index */
     /* Index value calculation */
-    rI = ((X & 0xFFF00000) >> 20);
+    rI = ((X & (q31_t)0xFFF00000) >> 20);
 
     /* Input is in 12.20 format */
     /* 12 bits for the table index */
     /* Index value calculation */
-    cI = ((Y & 0xFFF00000) >> 20);
+    cI = ((Y & (q31_t)0xFFF00000) >> 20);
 
     /* Care taken for table outside boundary */
     /* Returns zero output when values are outside table boundary */
@@ -7167,20 +7000,19 @@
 
     /* 20 bits for the fractional part */
     /* xfract should be in 12.20 format */
-    xfract = (X & 0x000FFFFF);
+    xfract = (X & (q31_t)0x000FFFFF);
 
     /* Read two nearest output values from the index */
-    x1 = pYData[(rI) + nCols * (cI)];
-    x2 = pYData[(rI) + nCols * (cI) + 1u];
-
+    x1 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI)    ];
+    x2 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI) + 1];
 
     /* 20 bits for the fractional part */
     /* yfract should be in 12.20 format */
-    yfract = (Y & 0x000FFFFF);
+    yfract = (Y & (q31_t)0x000FFFFF);
 
     /* Read two nearest output values from the index */
-    y1 = pYData[(rI) + nCols * (cI + 1)];
-    y2 = pYData[(rI) + nCols * (cI + 1) + 1u];
+    y1 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI + 1)    ];
+    y2 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI + 1) + 1];
 
     /* Calculation of x1 * (1-xfract ) * (1-yfract) and acc is in 16.47 format */
     out = ((x1 * (0xFFFFF - xfract)));
@@ -7199,8 +7031,7 @@
     acc += (((q63_t) out * (xfract)));
 
     /* acc in 16.47 format and down shift by 40 to convert to 1.7 format */
-    return (acc >> 40);
-
+    return ((q7_t)(acc >> 40));
   }
 
   /**
@@ -7208,96 +7039,116 @@
    */
 
 
-#if   defined ( __CC_ARM ) //Keil
-//SMMLAR
-  #define multAcc_32x32_keep32_R(a, x, y) \
-  a = (q31_t) (((((q63_t) a) << 32) + ((q63_t) x * y) + 0x80000000LL ) >> 32)
-
-//SMMLSR
-  #define multSub_32x32_keep32_R(a, x, y) \
-  a = (q31_t) (((((q63_t) a) << 32) - ((q63_t) x * y) + 0x80000000LL ) >> 32)
-
-//SMMULR
-  #define mult_32x32_keep32_R(a, x, y) \
-  a = (q31_t) (((q63_t) x * y + 0x80000000LL ) >> 32)
-
-//Enter low optimization region - place directly above function definition
-  #define LOW_OPTIMIZATION_ENTER \
-     _Pragma ("push")         \
-     _Pragma ("O1")
-
-//Exit low optimization region - place directly after end of function definition
-  #define LOW_OPTIMIZATION_EXIT \
-     _Pragma ("pop")
-
-//Enter low optimization region - place directly above function definition
+/* SMMLAR */
+#define multAcc_32x32_keep32_R(a, x, y) \
+    a = (q31_t) (((((q63_t) a) << 32) + ((q63_t) x * y) + 0x80000000LL ) >> 32)
+
+/* SMMLSR */
+#define multSub_32x32_keep32_R(a, x, y) \
+    a = (q31_t) (((((q63_t) a) << 32) - ((q63_t) x * y) + 0x80000000LL ) >> 32)
+
+/* SMMULR */
+#define mult_32x32_keep32_R(a, x, y) \
+    a = (q31_t) (((q63_t) x * y + 0x80000000LL ) >> 32)
+
+/* SMMLA */
+#define multAcc_32x32_keep32(a, x, y) \
+    a += (q31_t) (((q63_t) x * y) >> 32)
+
+/* SMMLS */
+#define multSub_32x32_keep32(a, x, y) \
+    a -= (q31_t) (((q63_t) x * y) >> 32)
+
+/* SMMUL */
+#define mult_32x32_keep32(a, x, y) \
+    a = (q31_t) (((q63_t) x * y ) >> 32)
+
+
+#if defined ( __CC_ARM )
+  /* Enter low optimization region - place directly above function definition */
+  #if defined( ARM_MATH_CM4 ) || defined( ARM_MATH_CM7)
+    #define LOW_OPTIMIZATION_ENTER \
+       _Pragma ("push")         \
+       _Pragma ("O1")
+  #else
+    #define LOW_OPTIMIZATION_ENTER
+  #endif
+
+  /* Exit low optimization region - place directly after end of function definition */
+  #if defined( ARM_MATH_CM4 ) || defined( ARM_MATH_CM7)
+    #define LOW_OPTIMIZATION_EXIT \
+       _Pragma ("pop")
+  #else
+    #define LOW_OPTIMIZATION_EXIT
+  #endif
+
+  /* Enter low optimization region - place directly above function definition */
   #define IAR_ONLY_LOW_OPTIMIZATION_ENTER
 
-//Exit low optimization region - place directly after end of function definition
+  /* Exit low optimization region - place directly after end of function definition */
   #define IAR_ONLY_LOW_OPTIMIZATION_EXIT
 
-#elif defined(__ICCARM__) //IAR
- //SMMLA
-  #define multAcc_32x32_keep32_R(a, x, y) \
-  a += (q31_t) (((q63_t) x * y) >> 32)
-
- //SMMLS
-  #define multSub_32x32_keep32_R(a, x, y) \
-  a -= (q31_t) (((q63_t) x * y) >> 32)
-
-//SMMUL
-  #define mult_32x32_keep32_R(a, x, y) \
-  a = (q31_t) (((q63_t) x * y ) >> 32)
-
-//Enter low optimization region - place directly above function definition
-  #define LOW_OPTIMIZATION_ENTER \
-     _Pragma ("optimize=low")
-
-//Exit low optimization region - place directly after end of function definition
+#elif defined(__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050)
+  #define LOW_OPTIMIZATION_ENTER
   #define LOW_OPTIMIZATION_EXIT
-
-//Enter low optimization region - place directly above function definition
-  #define IAR_ONLY_LOW_OPTIMIZATION_ENTER \
-     _Pragma ("optimize=low")
-
-//Exit low optimization region - place directly after end of function definition
+  #define IAR_ONLY_LOW_OPTIMIZATION_ENTER
   #define IAR_ONLY_LOW_OPTIMIZATION_EXIT
 
 #elif defined(__GNUC__)
- //SMMLA
-  #define multAcc_32x32_keep32_R(a, x, y) \
-  a += (q31_t) (((q63_t) x * y) >> 32)
-
- //SMMLS
-  #define multSub_32x32_keep32_R(a, x, y) \
-  a -= (q31_t) (((q63_t) x * y) >> 32)
-
-//SMMUL
-  #define mult_32x32_keep32_R(a, x, y) \
-  a = (q31_t) (((q63_t) x * y ) >> 32)
-
   #define LOW_OPTIMIZATION_ENTER __attribute__(( optimize("-O1") ))
-
+  #define LOW_OPTIMIZATION_EXIT
+  #define IAR_ONLY_LOW_OPTIMIZATION_ENTER
+  #define IAR_ONLY_LOW_OPTIMIZATION_EXIT
+
+#elif defined(__ICCARM__)
+  /* Enter low optimization region - place directly above function definition */
+  #if defined( ARM_MATH_CM4 ) || defined( ARM_MATH_CM7)
+    #define LOW_OPTIMIZATION_ENTER \
+       _Pragma ("optimize=low")
+  #else
+    #define LOW_OPTIMIZATION_ENTER
+  #endif
+
+  /* Exit low optimization region - place directly after end of function definition */
   #define LOW_OPTIMIZATION_EXIT
 
+  /* Enter low optimization region - place directly above function definition */
+  #if defined( ARM_MATH_CM4 ) || defined( ARM_MATH_CM7)
+    #define IAR_ONLY_LOW_OPTIMIZATION_ENTER \
+       _Pragma ("optimize=low")
+  #else
+    #define IAR_ONLY_LOW_OPTIMIZATION_ENTER
+  #endif
+
+  /* Exit low optimization region - place directly after end of function definition */
+  #define IAR_ONLY_LOW_OPTIMIZATION_EXIT
+
+#elif defined(__CSMC__)
+  #define LOW_OPTIMIZATION_ENTER
+  #define LOW_OPTIMIZATION_EXIT
   #define IAR_ONLY_LOW_OPTIMIZATION_ENTER
-
+  #define IAR_ONLY_LOW_OPTIMIZATION_EXIT
+
+#elif defined(__TASKING__)
+  #define LOW_OPTIMIZATION_ENTER
+  #define LOW_OPTIMIZATION_EXIT
+  #define IAR_ONLY_LOW_OPTIMIZATION_ENTER
   #define IAR_ONLY_LOW_OPTIMIZATION_EXIT
 
 #endif
 
 
-
-
-
-#ifdef	__cplusplus
+#ifdef   __cplusplus
 }
 #endif
 
 
+#if defined ( __GNUC__ )
+#pragma GCC diagnostic pop
+#endif
+
 #endif /* _ARM_MATH_H */
 
-
 /**
  *
  * End of file.