CMSIS DSP library
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Diff: cmsis_dsp/FastMathFunctions/arm_sqrt_q15.c
- Revision:
- 1:fdd22bb7aa52
- Child:
- 2:da51fb522205
diff -r 83d0537c7d84 -r fdd22bb7aa52 cmsis_dsp/FastMathFunctions/arm_sqrt_q15.c --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/cmsis_dsp/FastMathFunctions/arm_sqrt_q15.c Wed Nov 28 12:30:09 2012 +0000 @@ -0,0 +1,131 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2011 ARM Limited. All rights reserved. +* +* $Date: 15. February 2012 +* $Revision: V1.1.0 +* +* Project: CMSIS DSP Library +* Title: arm_sqrt_q15.c +* +* Description: Q15 square root function. +* +* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 +* +* Version 1.1.0 2012/02/15 +* Updated with more optimizations, bug fixes and minor API changes. +* +* Version 1.0.0 2011/03/08 +* Alpha release. +* +* Version 1.0.1 2011/09/30 +* Beta release. +* +* -------------------------------------------------------------------- */ +#include "arm_math.h" +#include "arm_common_tables.h" + + +/** + * @ingroup groupFastMath + */ + +/** + * @addtogroup SQRT + * @{ + */ + + /** + * @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. + * @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. + */ + +arm_status arm_sqrt_q15( + q15_t in, + q15_t * pOut) +{ + q15_t number, temp1, var1, signBits1, half; + q31_t bits_val1; + float32_t temp_float1; + + number = in; + + /* If the input is a positive number then compute the signBits. */ + if(number > 0) + { + signBits1 = __CLZ(number) - 17; + + /* Shift by the number of signBits1 */ + if((signBits1 % 2) == 0) + { + number = number << signBits1; + } + else + { + number = number << (signBits1 - 1); + } + + /* Calculate half value of the number */ + half = number >> 1; + /* Store the number for later use */ + temp1 = number; + + /*Convert to float */ + temp_float1 = number * 3.051757812500000e-005f; + /*Store as integer */ + bits_val1 = *(int *) &temp_float1; + /* Subtract the shifted value from the magic number to give intial guess */ + bits_val1 = 0x5f3759df - (bits_val1 >> 1); // gives initial guess + /* Store as float */ + temp_float1 = *(float *) &bits_val1; + /* Convert to integer format */ + var1 = (q31_t) (temp_float1 * 16384); + + /* 1st iteration */ + var1 = ((q15_t) ((q31_t) var1 * (0x3000 - + ((q15_t) + ((((q15_t) + (((q31_t) var1 * var1) >> 15)) * + (q31_t) half) >> 15))) >> 15)) << 2; + /* 2nd iteration */ + var1 = ((q15_t) ((q31_t) var1 * (0x3000 - + ((q15_t) + ((((q15_t) + (((q31_t) var1 * var1) >> 15)) * + (q31_t) half) >> 15))) >> 15)) << 2; + /* 3rd iteration */ + var1 = ((q15_t) ((q31_t) var1 * (0x3000 - + ((q15_t) + ((((q15_t) + (((q31_t) var1 * var1) >> 15)) * + (q31_t) half) >> 15))) >> 15)) << 2; + + /* Multiply the inverse square root with the original value */ + var1 = ((q15_t) (((q31_t) temp1 * var1) >> 15)) << 1; + + /* Shift the output down accordingly */ + if((signBits1 % 2) == 0) + { + var1 = var1 >> (signBits1 / 2); + } + else + { + var1 = var1 >> ((signBits1 - 1) / 2); + } + *pOut = var1; + + return (ARM_MATH_SUCCESS); + } + /* If the number is a negative number then store zero as its square root value */ + else + { + *pOut = 0; + return (ARM_MATH_ARGUMENT_ERROR); + } +} + +/** + * @} end of SQRT group + */