SSL/TLS Library

Dependents:  

CyaSSL is SSL/TLS library for embedded systems.

wolfssl.com

Revision:
0:9d17e4342598
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/ctaocrypt/src/ecc.c	Sun Apr 20 12:40:57 2014 +0000
@@ -0,0 +1,3981 @@
+/* ecc.c
+ *
+ * Copyright (C) 2006-2013 wolfSSL Inc.
+ *
+ * This file is part of CyaSSL.
+ *
+ * CyaSSL is free software; you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; either version 2 of the License, or
+ * (at your option) any later version.
+ *
+ * CyaSSL is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program; if not, write to the Free Software
+ * Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA
+ */
+
+
+#ifdef HAVE_CONFIG_H
+    #include <config.h>
+#endif
+
+/* in case user set HAVE_ECC there */
+#include <cyassl/ctaocrypt/settings.h>
+
+#ifdef HAVE_ECC
+
+#include <cyassl/ctaocrypt/ecc.h>
+#include <cyassl/ctaocrypt/asn.h>
+#include <cyassl/ctaocrypt/error-crypt.h>
+
+#ifdef HAVE_ECC_ENCRYPT
+    #include <cyassl/ctaocrypt/hmac.h>
+    #include <cyassl/ctaocrypt/aes.h>
+#endif
+
+
+/* map
+
+   ptmul -> mulmod
+
+*/
+
+#define ECC112
+#define ECC128
+#define ECC160
+#define ECC192
+#define ECC224
+#define ECC256
+#define ECC384
+#define ECC521
+
+
+
+/* This holds the key settings.  ***MUST*** be organized by size from
+   smallest to largest. */
+
+const ecc_set_type ecc_sets[] = {
+#ifdef ECC112
+{
+        14,
+        "SECP112R1",
+        "DB7C2ABF62E35E668076BEAD208B",
+        "659EF8BA043916EEDE8911702B22",
+        "DB7C2ABF62E35E7628DFAC6561C5",
+        "09487239995A5EE76B55F9C2F098",
+        "A89CE5AF8724C0A23E0E0FF77500"
+},
+#endif
+#ifdef ECC128
+{
+        16,
+        "SECP128R1",
+        "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",
+        "E87579C11079F43DD824993C2CEE5ED3",
+        "FFFFFFFE0000000075A30D1B9038A115",
+        "161FF7528B899B2D0C28607CA52C5B86",
+        "CF5AC8395BAFEB13C02DA292DDED7A83",
+},
+#endif
+#ifdef ECC160
+{
+        20,
+        "SECP160R1",
+        "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF",
+        "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45",
+        "0100000000000000000001F4C8F927AED3CA752257",
+        "4A96B5688EF573284664698968C38BB913CBFC82",
+        "23A628553168947D59DCC912042351377AC5FB32",
+},
+#endif
+#ifdef ECC192
+{
+        24,
+        "ECC-192",
+        "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",
+        "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1",
+        "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831",
+        "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012",
+        "7192B95FFC8DA78631011ED6B24CDD573F977A11E794811",
+},
+#endif
+#ifdef ECC224
+{
+        28,
+        "ECC-224",
+        "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",
+        "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",
+        "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D",
+        "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21",
+        "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34",
+},
+#endif
+#ifdef ECC256
+{
+        32,
+        "ECC-256",
+        "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF",
+        "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B",
+        "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551",
+        "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296",
+        "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5",
+},
+#endif
+#ifdef ECC384
+{
+        48,
+        "ECC-384",
+        "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF",
+        "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF",
+        "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973",
+        "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F25DBF55296C3A545E3872760AB7",
+        "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A147CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F",
+},
+#endif
+#ifdef ECC521
+{
+        66,
+        "ECC-521",
+        "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
+        "51953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00",
+        "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409",
+        "C6858E06B70404E9CD9E3ECB662395B4429C648139053FB521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66",
+        "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C7086A272C24088BE94769FD16650",
+},
+#endif
+{
+   0,
+   NULL, NULL, NULL, NULL, NULL, NULL
+}
+};
+
+
+ecc_point* ecc_new_point(void);
+void ecc_del_point(ecc_point* p);
+int  ecc_map(ecc_point*, mp_int*, mp_digit*);
+int  ecc_projective_add_point(ecc_point* P, ecc_point* Q, ecc_point* R,
+                              mp_int* modulus, mp_digit* mp);
+int  ecc_projective_dbl_point(ecc_point* P, ecc_point* R, mp_int* modulus,
+                              mp_digit* mp);
+static int ecc_mulmod(mp_int* k, ecc_point *G, ecc_point *R, mp_int* modulus,
+                      int map);
+#ifdef ECC_SHAMIR
+static int ecc_mul2add(ecc_point* A, mp_int* kA, ecc_point* B, mp_int* kB,
+                       ecc_point* C, mp_int* modulus);
+#endif
+
+
+/* helper for either lib */
+static int get_digit_count(mp_int* a)
+{
+    if (a == NULL)
+        return 0;
+
+    return a->used;
+}
+
+/* helper for either lib */
+static unsigned long get_digit(mp_int* a, int n)
+{
+    if (a == NULL)
+        return 0;
+
+    return (n >= a->used || n < 0) ? 0 : a->dp[n];
+}
+
+
+#if defined(USE_FAST_MATH)
+
+/* fast math accelerated version, but not for fp ecc yet */
+
+/**
+   Add two ECC points
+   P        The point to add
+   Q        The point to add
+   R        [out] The destination of the double
+   modulus  The modulus of the field the ECC curve is in
+   mp       The "b" value from montgomery_setup()
+   return   MP_OKAY on success
+*/
+int ecc_projective_add_point(ecc_point *P, ecc_point *Q, ecc_point *R,
+                             mp_int* modulus, mp_digit* mp)
+{
+   fp_int t1, t2, x, y, z;
+   int    err;
+
+   if (P == NULL || Q == NULL || R == NULL || modulus == NULL || mp == NULL)
+       return ECC_BAD_ARG_E;
+
+   if ((err = mp_init_multi(&t1, &t2, &x, &y, &z, NULL)) != MP_OKAY) {
+      return err;
+   }
+
+   /* should we dbl instead? */
+   fp_sub(modulus, &Q->y, &t1);
+   if ( (fp_cmp(&P->x, &Q->x) == FP_EQ) && 
+        (get_digit_count(&Q->z) && fp_cmp(&P->z, &Q->z) == FP_EQ) &&
+        (fp_cmp(&P->y, &Q->y) == FP_EQ || fp_cmp(&P->y, &t1) == FP_EQ)) {
+        return ecc_projective_dbl_point(P, R, modulus, mp);
+   }
+
+   fp_copy(&P->x, &x);
+   fp_copy(&P->y, &y);
+   fp_copy(&P->z, &z);
+
+   /* if Z is one then these are no-operations */
+   if (get_digit_count(&Q->z)) {
+      /* T1 = Z' * Z' */
+      fp_sqr(&Q->z, &t1);
+      fp_montgomery_reduce(&t1, modulus, *mp);
+      /* X = X * T1 */
+      fp_mul(&t1, &x, &x);
+      fp_montgomery_reduce(&x, modulus, *mp);
+      /* T1 = Z' * T1 */
+      fp_mul(&Q->z, &t1, &t1);
+      fp_montgomery_reduce(&t1, modulus, *mp);
+      /* Y = Y * T1 */
+      fp_mul(&t1, &y, &y);
+      fp_montgomery_reduce(&y, modulus, *mp);
+   }
+
+   /* T1 = Z*Z */
+   fp_sqr(&z, &t1);
+   fp_montgomery_reduce(&t1, modulus, *mp);
+   /* T2 = X' * T1 */
+   fp_mul(&Q->x, &t1, &t2);
+   fp_montgomery_reduce(&t2, modulus, *mp);
+   /* T1 = Z * T1 */
+   fp_mul(&z, &t1, &t1);
+   fp_montgomery_reduce(&t1, modulus, *mp);
+   /* T1 = Y' * T1 */
+   fp_mul(&Q->y, &t1, &t1);
+   fp_montgomery_reduce(&t1, modulus, *mp);
+
+   /* Y = Y - T1 */
+   fp_sub(&y, &t1, &y);
+   if (fp_cmp_d(&y, 0) == FP_LT) {
+      fp_add(&y, modulus, &y);
+   }
+   /* T1 = 2T1 */
+   fp_add(&t1, &t1, &t1);
+   if (fp_cmp(&t1, modulus) != FP_LT) {
+      fp_sub(&t1, modulus, &t1);
+   }
+   /* T1 = Y + T1 */
+   fp_add(&t1, &y, &t1);
+   if (fp_cmp(&t1, modulus) != FP_LT) {
+      fp_sub(&t1, modulus, &t1);
+   }
+   /* X = X - T2 */
+   fp_sub(&x, &t2, &x);
+   if (fp_cmp_d(&x, 0) == FP_LT) {
+      fp_add(&x, modulus, &x);
+   }
+   /* T2 = 2T2 */
+   fp_add(&t2, &t2, &t2);
+   if (fp_cmp(&t2, modulus) != FP_LT) {
+      fp_sub(&t2, modulus, &t2);
+   }
+   /* T2 = X + T2 */
+   fp_add(&t2, &x, &t2);
+   if (fp_cmp(&t2, modulus) != FP_LT) {
+      fp_sub(&t2, modulus, &t2);
+   }
+
+   /* if Z' != 1 */
+   if (get_digit_count(&Q->z)) {
+      /* Z = Z * Z' */
+      fp_mul(&z, &Q->z, &z);
+      fp_montgomery_reduce(&z, modulus, *mp);
+   }
+
+   /* Z = Z * X */
+   fp_mul(&z, &x, &z);
+   fp_montgomery_reduce(&z, modulus, *mp);
+
+   /* T1 = T1 * X  */
+   fp_mul(&t1, &x, &t1);
+   fp_montgomery_reduce(&t1, modulus, *mp);
+   /* X = X * X */
+   fp_sqr(&x, &x);
+   fp_montgomery_reduce(&x, modulus, *mp);
+   /* T2 = T2 * x */
+   fp_mul(&t2, &x, &t2);
+   fp_montgomery_reduce(&t2, modulus, *mp);
+   /* T1 = T1 * X  */
+   fp_mul(&t1, &x, &t1);
+   fp_montgomery_reduce(&t1, modulus, *mp);
+ 
+   /* X = Y*Y */
+   fp_sqr(&y, &x);
+   fp_montgomery_reduce(&x, modulus, *mp);
+   /* X = X - T2 */
+   fp_sub(&x, &t2, &x);
+   if (fp_cmp_d(&x, 0) == FP_LT) {
+      fp_add(&x, modulus, &x);
+   }
+
+   /* T2 = T2 - X */
+   fp_sub(&t2, &x, &t2);
+   if (fp_cmp_d(&t2, 0) == FP_LT) {
+      fp_add(&t2, modulus, &t2);
+   } 
+   /* T2 = T2 - X */
+   fp_sub(&t2, &x, &t2);
+   if (fp_cmp_d(&t2, 0) == FP_LT) {
+      fp_add(&t2, modulus, &t2);
+   }
+   /* T2 = T2 * Y */
+   fp_mul(&t2, &y, &t2);
+   fp_montgomery_reduce(&t2, modulus, *mp);
+   /* Y = T2 - T1 */
+   fp_sub(&t2, &t1, &y);
+   if (fp_cmp_d(&y, 0) == FP_LT) {
+      fp_add(&y, modulus, &y);
+   }
+   /* Y = Y/2 */
+   if (fp_isodd(&y)) {
+      fp_add(&y, modulus, &y);
+   }
+   fp_div_2(&y, &y);
+
+   fp_copy(&x, &R->x);
+   fp_copy(&y, &R->y);
+   fp_copy(&z, &R->z);
+   
+   return MP_OKAY;
+}
+
+
+/**
+   Double an ECC point
+   P   The point to double
+   R   [out] The destination of the double
+   modulus  The modulus of the field the ECC curve is in
+   mp       The "b" value from montgomery_setup()
+   return   MP_OKAY on success
+*/
+int ecc_projective_dbl_point(ecc_point *P, ecc_point *R, mp_int* modulus,
+                             mp_digit* mp)
+{
+   fp_int   t1, t2;
+   int      err;
+
+   if (P == NULL || R == NULL || modulus == NULL || mp == NULL)
+       return ECC_BAD_ARG_E;
+
+   if (P != R) {
+      fp_copy(&P->x, &R->x);
+      fp_copy(&P->y, &R->y);
+      fp_copy(&P->z, &R->z);
+   }
+
+   if ((err = mp_init_multi(&t1, &t2, NULL, NULL, NULL, NULL)) != MP_OKAY) {
+      return err;
+   }
+
+   /* t1 = Z * Z */
+   fp_sqr(&R->z, &t1);
+   fp_montgomery_reduce(&t1, modulus, *mp);
+   /* Z = Y * Z */
+   fp_mul(&R->z, &R->y, &R->z);
+   fp_montgomery_reduce(&R->z, modulus, *mp);
+   /* Z = 2Z */
+   fp_add(&R->z, &R->z, &R->z);
+   if (fp_cmp(&R->z, modulus) != FP_LT) {
+      fp_sub(&R->z, modulus, &R->z);
+   }
+   
+   /* &t2 = X - T1 */
+   fp_sub(&R->x, &t1, &t2);
+   if (fp_cmp_d(&t2, 0) == FP_LT) {
+      fp_add(&t2, modulus, &t2);
+   }
+   /* T1 = X + T1 */
+   fp_add(&t1, &R->x, &t1);
+   if (fp_cmp(&t1, modulus) != FP_LT) {
+      fp_sub(&t1, modulus, &t1);
+   }
+   /* T2 = T1 * T2 */
+   fp_mul(&t1, &t2, &t2);
+   fp_montgomery_reduce(&t2, modulus, *mp);
+   /* T1 = 2T2 */
+   fp_add(&t2, &t2, &t1);
+   if (fp_cmp(&t1, modulus) != FP_LT) {
+      fp_sub(&t1, modulus, &t1);
+   }
+   /* T1 = T1 + T2 */
+   fp_add(&t1, &t2, &t1);
+   if (fp_cmp(&t1, modulus) != FP_LT) {
+      fp_sub(&t1, modulus, &t1);
+   }
+
+   /* Y = 2Y */
+   fp_add(&R->y, &R->y, &R->y);
+   if (fp_cmp(&R->y, modulus) != FP_LT) {
+      fp_sub(&R->y, modulus, &R->y);
+   }
+   /* Y = Y * Y */
+   fp_sqr(&R->y, &R->y);
+   fp_montgomery_reduce(&R->y, modulus, *mp);
+   /* T2 = Y * Y */
+   fp_sqr(&R->y, &t2);
+   fp_montgomery_reduce(&t2, modulus, *mp);
+   /* T2 = T2/2 */
+   if (fp_isodd(&t2)) {
+      fp_add(&t2, modulus, &t2);
+   }
+   fp_div_2(&t2, &t2);
+   /* Y = Y * X */
+   fp_mul(&R->y, &R->x, &R->y);
+   fp_montgomery_reduce(&R->y, modulus, *mp);
+
+   /* X  = T1 * T1 */
+   fp_sqr(&t1, &R->x);
+   fp_montgomery_reduce(&R->x, modulus, *mp);
+   /* X = X - Y */
+   fp_sub(&R->x, &R->y, &R->x);
+   if (fp_cmp_d(&R->x, 0) == FP_LT) {
+      fp_add(&R->x, modulus, &R->x);
+   }
+   /* X = X - Y */
+   fp_sub(&R->x, &R->y, &R->x);
+   if (fp_cmp_d(&R->x, 0) == FP_LT) {
+      fp_add(&R->x, modulus, &R->x);
+   }
+
+   /* Y = Y - X */     
+   fp_sub(&R->y, &R->x, &R->y);
+   if (fp_cmp_d(&R->y, 0) == FP_LT) {
+      fp_add(&R->y, modulus, &R->y);
+   }
+   /* Y = Y * T1 */
+   fp_mul(&R->y, &t1, &R->y);
+   fp_montgomery_reduce(&R->y, modulus, *mp);
+   /* Y = Y - T2 */
+   fp_sub(&R->y, &t2, &R->y);
+   if (fp_cmp_d(&R->y, 0) == FP_LT) {
+      fp_add(&R->y, modulus, &R->y);
+   }
+ 
+   return MP_OKAY;
+}
+
+#else /* USE_FAST_MATH */
+
+/**
+   Add two ECC points
+   P        The point to add
+   Q        The point to add
+   R        [out] The destination of the double
+   modulus  The modulus of the field the ECC curve is in
+   mp       The "b" value from montgomery_setup()
+   return   MP_OKAY on success
+*/
+int ecc_projective_add_point(ecc_point* P, ecc_point* Q, ecc_point* R,
+                             mp_int* modulus, mp_digit* mp)
+{
+   mp_int t1;
+   mp_int t2;
+   mp_int x;
+   mp_int y;
+   mp_int z;
+   int    err;
+
+   if (P == NULL || Q == NULL || R == NULL || modulus == NULL || mp == NULL)
+       return ECC_BAD_ARG_E;
+
+   if ((err = mp_init_multi(&t1, &t2, &x, &y, &z, NULL)) != MP_OKAY) {
+      return err;
+   }
+   
+   /* should we dbl instead? */
+   err = mp_sub(modulus, &Q->y, &t1);
+
+   if (err == MP_OKAY) {
+       if ( (mp_cmp(&P->x, &Q->x) == MP_EQ) && 
+            (get_digit_count(&Q->z) && mp_cmp(&P->z, &Q->z) == MP_EQ) &&
+            (mp_cmp(&P->y, &Q->y) == MP_EQ || mp_cmp(&P->y, &t1) == MP_EQ)) {
+                mp_clear(&t1);
+                mp_clear(&t2);
+                mp_clear(&x);
+                mp_clear(&y);
+                mp_clear(&z);
+
+                return ecc_projective_dbl_point(P, R, modulus, mp);
+       }
+   }
+
+   if (err == MP_OKAY)
+       err = mp_copy(&P->x, &x);
+   if (err == MP_OKAY)
+       err = mp_copy(&P->y, &y);
+   if (err == MP_OKAY)
+       err = mp_copy(&P->z, &z);
+
+   /* if Z is one then these are no-operations */
+   if (err == MP_OKAY) {
+       if (get_digit_count(&Q->z)) {
+           /* T1 = Z' * Z' */
+           err = mp_sqr(&Q->z, &t1);
+           if (err == MP_OKAY)
+               err = mp_montgomery_reduce(&t1, modulus, *mp);
+
+           /* X = X * T1 */
+           if (err == MP_OKAY)
+               err = mp_mul(&t1, &x, &x);
+           if (err == MP_OKAY)
+               err = mp_montgomery_reduce(&x, modulus, *mp);
+
+           /* T1 = Z' * T1 */
+           if (err == MP_OKAY)
+               err = mp_mul(&Q->z, &t1, &t1);
+           if (err == MP_OKAY)
+               err = mp_montgomery_reduce(&t1, modulus, *mp);
+
+           /* Y = Y * T1 */
+           if (err == MP_OKAY)
+               err = mp_mul(&t1, &y, &y);
+           if (err == MP_OKAY)
+               err = mp_montgomery_reduce(&y, modulus, *mp);
+       }
+   }
+
+   /* T1 = Z*Z */
+   if (err == MP_OKAY)
+       err = mp_sqr(&z, &t1);
+   if (err == MP_OKAY)
+       err = mp_montgomery_reduce(&t1, modulus, *mp);
+
+   /* T2 = X' * T1 */
+   if (err == MP_OKAY)
+       err = mp_mul(&Q->x, &t1, &t2);
+   if (err == MP_OKAY)
+       err = mp_montgomery_reduce(&t2, modulus, *mp);
+
+   /* T1 = Z * T1 */
+   if (err == MP_OKAY)
+       err = mp_mul(&z, &t1, &t1);
+   if (err == MP_OKAY)
+       err = mp_montgomery_reduce(&t1, modulus, *mp);
+
+   /* T1 = Y' * T1 */
+   if (err == MP_OKAY)
+       err = mp_mul(&Q->y, &t1, &t1);
+   if (err == MP_OKAY)
+       err = mp_montgomery_reduce(&t1, modulus, *mp);
+
+   /* Y = Y - T1 */
+   if (err == MP_OKAY)
+       err = mp_sub(&y, &t1, &y);
+   if (err == MP_OKAY) {
+       if (mp_cmp_d(&y, 0) == MP_LT)
+           err = mp_add(&y, modulus, &y);
+   }
+   /* T1 = 2T1 */
+   if (err == MP_OKAY)
+       err = mp_add(&t1, &t1, &t1);
+   if (err == MP_OKAY) {
+       if (mp_cmp(&t1, modulus) != MP_LT)
+           err = mp_sub(&t1, modulus, &t1);
+   }
+   /* T1 = Y + T1 */
+   if (err == MP_OKAY)
+       err = mp_add(&t1, &y, &t1);
+   if (err == MP_OKAY) {
+       if (mp_cmp(&t1, modulus) != MP_LT)
+           err = mp_sub(&t1, modulus, &t1);
+   }
+   /* X = X - T2 */
+   if (err == MP_OKAY)
+       err = mp_sub(&x, &t2, &x);
+   if (err == MP_OKAY) {
+       if (mp_cmp_d(&x, 0) == MP_LT)
+           err = mp_add(&x, modulus, &x);
+   }
+   /* T2 = 2T2 */
+   if (err == MP_OKAY)
+       err = mp_add(&t2, &t2, &t2);
+   if (err == MP_OKAY) {
+       if (mp_cmp(&t2, modulus) != MP_LT)
+           err = mp_sub(&t2, modulus, &t2);
+   }
+   /* T2 = X + T2 */
+   if (err == MP_OKAY)
+       err = mp_add(&t2, &x, &t2);
+   if (err == MP_OKAY) {
+       if (mp_cmp(&t2, modulus) != MP_LT)
+           err = mp_sub(&t2, modulus, &t2);
+   }
+
+   if (err == MP_OKAY) {
+       if (get_digit_count(&Q->z)) {
+           /* Z = Z * Z' */
+           err = mp_mul(&z, &Q->z, &z);
+           if (err == MP_OKAY)
+               err = mp_montgomery_reduce(&z, modulus, *mp);
+       }
+   }
+
+   /* Z = Z * X */
+   if (err == MP_OKAY)
+       err = mp_mul(&z, &x, &z);
+   if (err == MP_OKAY)
+       err = mp_montgomery_reduce(&z, modulus, *mp);
+
+   /* T1 = T1 * X  */
+   if (err == MP_OKAY)
+       err = mp_mul(&t1, &x, &t1);
+   if (err == MP_OKAY)
+       err = mp_montgomery_reduce(&t1, modulus, *mp);
+
+   /* X = X * X */
+   if (err == MP_OKAY)
+       err = mp_sqr(&x, &x);
+   if (err == MP_OKAY)
+       err = mp_montgomery_reduce(&x, modulus, *mp);
+   
+   /* T2 = T2 * x */
+   if (err == MP_OKAY)
+       err = mp_mul(&t2, &x, &t2);
+   if (err == MP_OKAY)
+       err = mp_montgomery_reduce(&t2, modulus, *mp);
+
+   /* T1 = T1 * X  */
+   if (err == MP_OKAY)
+       err = mp_mul(&t1, &x, &t1);
+   if (err == MP_OKAY)
+       err = mp_montgomery_reduce(&t1, modulus, *mp);
+ 
+   /* X = Y*Y */
+   if (err == MP_OKAY)
+       err = mp_sqr(&y, &x);
+   if (err == MP_OKAY)
+       err = mp_montgomery_reduce(&x, modulus, *mp);
+
+   /* X = X - T2 */
+   if (err == MP_OKAY)
+       err = mp_sub(&x, &t2, &x);
+   if (err == MP_OKAY) {
+       if (mp_cmp_d(&x, 0) == MP_LT)
+           err = mp_add(&x, modulus, &x);
+   }
+   /* T2 = T2 - X */
+   if (err == MP_OKAY)
+       err = mp_sub(&t2, &x, &t2);
+   if (err == MP_OKAY) {
+       if (mp_cmp_d(&t2, 0) == MP_LT)
+           err = mp_add(&t2, modulus, &t2);
+   } 
+   /* T2 = T2 - X */
+   if (err == MP_OKAY)
+       err = mp_sub(&t2, &x, &t2);
+   if (err == MP_OKAY) {
+       if (mp_cmp_d(&t2, 0) == MP_LT)
+           err = mp_add(&t2, modulus, &t2);
+   }
+   /* T2 = T2 * Y */
+   if (err == MP_OKAY)
+       err = mp_mul(&t2, &y, &t2);
+   if (err == MP_OKAY)
+       err = mp_montgomery_reduce(&t2, modulus, *mp);
+
+   /* Y = T2 - T1 */
+   if (err == MP_OKAY)
+       err = mp_sub(&t2, &t1, &y);
+   if (err == MP_OKAY) {
+       if (mp_cmp_d(&y, 0) == MP_LT)
+           err = mp_add(&y, modulus, &y);
+   }
+   /* Y = Y/2 */
+   if (err == MP_OKAY) {
+       if (mp_isodd(&y))
+           err = mp_add(&y, modulus, &y);
+   }
+   if (err == MP_OKAY)
+       err = mp_div_2(&y, &y);
+
+   if (err == MP_OKAY)
+       err = mp_copy(&x, &R->x);
+   if (err == MP_OKAY)
+       err = mp_copy(&y, &R->y);
+   if (err == MP_OKAY)
+       err = mp_copy(&z, &R->z);
+
+   /* clean up */
+   mp_clear(&t1);
+   mp_clear(&t2);
+   mp_clear(&x);
+   mp_clear(&y);
+   mp_clear(&z);
+
+   return err;
+}
+
+
+/**
+   Double an ECC point
+   P   The point to double
+   R   [out] The destination of the double
+   modulus  The modulus of the field the ECC curve is in
+   mp       The "b" value from montgomery_setup()
+   return   MP_OKAY on success
+*/
+int ecc_projective_dbl_point(ecc_point *P, ecc_point *R, mp_int* modulus,
+                             mp_digit* mp)
+{
+   mp_int t1;
+   mp_int t2;
+   int    err;
+
+   if (P == NULL || R == NULL || modulus == NULL || mp == NULL)
+       return ECC_BAD_ARG_E;
+
+   if ((err = mp_init_multi(&t1, &t2, NULL, NULL, NULL, NULL)) != MP_OKAY) {
+      return err;
+   }
+
+   if (P != R) {
+      err = mp_copy(&P->x, &R->x);
+      if (err == MP_OKAY)
+          err = mp_copy(&P->y, &R->y);
+      if (err == MP_OKAY)
+          err = mp_copy(&P->z, &R->z);
+   }
+
+   /* t1 = Z * Z */
+   if (err == MP_OKAY)
+       err = mp_sqr(&R->z, &t1);
+   if (err == MP_OKAY)
+       err = mp_montgomery_reduce(&t1, modulus, *mp);
+
+   /* Z = Y * Z */
+   if (err == MP_OKAY)
+       err = mp_mul(&R->z, &R->y, &R->z);
+   if (err == MP_OKAY)
+       err = mp_montgomery_reduce(&R->z, modulus, *mp);
+
+   /* Z = 2Z */
+   if (err == MP_OKAY)
+       err = mp_add(&R->z, &R->z, &R->z);
+   if (err == MP_OKAY) {
+       if (mp_cmp(&R->z, modulus) != MP_LT)
+           err = mp_sub(&R->z, modulus, &R->z);
+   }
+
+   /* T2 = X - T1 */
+   if (err == MP_OKAY)
+       err = mp_sub(&R->x, &t1, &t2);
+   if (err == MP_OKAY) {
+       if (mp_cmp_d(&t2, 0) == MP_LT)
+           err = mp_add(&t2, modulus, &t2);
+   }
+   /* T1 = X + T1 */
+   if (err == MP_OKAY)
+       err = mp_add(&t1, &R->x, &t1);
+   if (err == MP_OKAY) {
+       if (mp_cmp(&t1, modulus) != MP_LT)
+           err = mp_sub(&t1, modulus, &t1);
+   }
+   /* T2 = T1 * T2 */
+   if (err == MP_OKAY)
+       err = mp_mul(&t1, &t2, &t2);
+   if (err == MP_OKAY)
+       err = mp_montgomery_reduce(&t2, modulus, *mp);
+
+   /* T1 = 2T2 */
+   if (err == MP_OKAY)
+       err = mp_add(&t2, &t2, &t1);
+   if (err == MP_OKAY) {
+       if (mp_cmp(&t1, modulus) != MP_LT)
+           err = mp_sub(&t1, modulus, &t1);
+   }
+   /* T1 = T1 + T2 */
+   if (err == MP_OKAY)
+       err = mp_add(&t1, &t2, &t1);
+   if (err == MP_OKAY) {
+       if (mp_cmp(&t1, modulus) != MP_LT)
+           err = mp_sub(&t1, modulus, &t1);
+   }
+   /* Y = 2Y */
+   if (err == MP_OKAY)
+       err = mp_add(&R->y, &R->y, &R->y);
+   if (err == MP_OKAY) {
+       if (mp_cmp(&R->y, modulus) != MP_LT)
+           err = mp_sub(&R->y, modulus, &R->y);
+   }
+   /* Y = Y * Y */
+   if (err == MP_OKAY)
+       err = mp_sqr(&R->y, &R->y);
+   if (err == MP_OKAY)
+       err = mp_montgomery_reduce(&R->y, modulus, *mp);
+   
+   /* T2 = Y * Y */
+   if (err == MP_OKAY)
+       err = mp_sqr(&R->y, &t2);
+   if (err == MP_OKAY)
+       err = mp_montgomery_reduce(&t2, modulus, *mp);
+
+   /* T2 = T2/2 */
+   if (err == MP_OKAY) {
+       if (mp_isodd(&t2))
+           err = mp_add(&t2, modulus, &t2);
+   }
+   if (err == MP_OKAY)
+       err = mp_div_2(&t2, &t2);
+   
+   /* Y = Y * X */
+   if (err == MP_OKAY)
+       err = mp_mul(&R->y, &R->x, &R->y);
+   if (err == MP_OKAY)
+       err = mp_montgomery_reduce(&R->y, modulus, *mp);
+
+   /* X  = T1 * T1 */
+   if (err == MP_OKAY)
+       err = mp_sqr(&t1, &R->x);
+   if (err == MP_OKAY)
+       err = mp_montgomery_reduce(&R->x, modulus, *mp);
+
+   /* X = X - Y */
+   if (err == MP_OKAY)
+       err = mp_sub(&R->x, &R->y, &R->x);
+   if (err == MP_OKAY) {
+       if (mp_cmp_d(&R->x, 0) == MP_LT)
+           err = mp_add(&R->x, modulus, &R->x);
+   }
+   /* X = X - Y */
+   if (err == MP_OKAY)
+       err = mp_sub(&R->x, &R->y, &R->x);
+   if (err == MP_OKAY) {
+       if (mp_cmp_d(&R->x, 0) == MP_LT)
+           err = mp_add(&R->x, modulus, &R->x);
+   }
+   /* Y = Y - X */     
+   if (err == MP_OKAY)
+       err = mp_sub(&R->y, &R->x, &R->y);
+   if (err == MP_OKAY) {
+       if (mp_cmp_d(&R->y, 0) == MP_LT)
+           err = mp_add(&R->y, modulus, &R->y);
+   }
+   /* Y = Y * T1 */
+   if (err == MP_OKAY)
+       err = mp_mul(&R->y, &t1, &R->y);
+   if (err == MP_OKAY)
+       err = mp_montgomery_reduce(&R->y, modulus, *mp);
+
+   /* Y = Y - T2 */
+   if (err == MP_OKAY)
+       err = mp_sub(&R->y, &t2, &R->y);
+   if (err == MP_OKAY) {
+       if (mp_cmp_d(&R->y, 0) == MP_LT)
+           err = mp_add(&R->y, modulus, &R->y);
+   }
+
+   /* clean up */ 
+   mp_clear(&t1);
+   mp_clear(&t2);
+
+   return err;
+}
+
+#endif /* USE_FAST_MATH */
+
+/**
+  Map a projective jacbobian point back to affine space
+  P        [in/out] The point to map
+  modulus  The modulus of the field the ECC curve is in
+  mp       The "b" value from montgomery_setup()
+  return   MP_OKAY on success
+*/
+int ecc_map(ecc_point* P, mp_int* modulus, mp_digit* mp)
+{
+   mp_int t1;
+   mp_int t2;
+   int    err;
+
+   if (P == NULL || mp == NULL || modulus == NULL)
+       return ECC_BAD_ARG_E;
+
+   if ((err = mp_init_multi(&t1, &t2, NULL, NULL, NULL, NULL)) != MP_OKAY) {
+      return MEMORY_E;
+   }
+
+   /* first map z back to normal */
+   err = mp_montgomery_reduce(&P->z, modulus, *mp);
+
+   /* get 1/z */
+   if (err == MP_OKAY)
+       err = mp_invmod(&P->z, modulus, &t1);
+ 
+   /* get 1/z^2 and 1/z^3 */
+   if (err == MP_OKAY)
+       err = mp_sqr(&t1, &t2);
+   if (err == MP_OKAY)
+       err = mp_mod(&t2, modulus, &t2);
+   if (err == MP_OKAY)
+       err = mp_mul(&t1, &t2, &t1);
+   if (err == MP_OKAY)
+       err = mp_mod(&t1, modulus, &t1);
+
+   /* multiply against x/y */
+   if (err == MP_OKAY)
+       err = mp_mul(&P->x, &t2, &P->x);
+   if (err == MP_OKAY)
+       err = mp_montgomery_reduce(&P->x, modulus, *mp);
+   if (err == MP_OKAY)
+       err = mp_mul(&P->y, &t1, &P->y);
+   if (err == MP_OKAY)
+       err = mp_montgomery_reduce(&P->y, modulus, *mp);
+   
+   if (err == MP_OKAY)
+       mp_set(&P->z, 1);
+
+   /* clean up */
+   mp_clear(&t1);
+   mp_clear(&t2);
+
+   return err;
+}
+
+
+#ifndef ECC_TIMING_RESISTANT
+
+/* size of sliding window, don't change this! */
+#define WINSIZE 4
+
+/**
+   Perform a point multiplication 
+   k    The scalar to multiply by
+   G    The base point
+   R    [out] Destination for kG
+   modulus  The modulus of the field the ECC curve is in
+   map      Boolean whether to map back to affine or not
+                (1==map, 0 == leave in projective)
+   return MP_OKAY on success
+*/
+#ifdef FP_ECC
+static int normal_ecc_mulmod(mp_int* k, ecc_point *G, ecc_point *R,
+                             mp_int* modulus, int map)
+#else
+static int ecc_mulmod(mp_int* k, ecc_point *G, ecc_point *R, mp_int* modulus,
+                      int map)
+#endif
+{
+   ecc_point *tG, *M[8];
+   int           i, j, err;
+   mp_int        mu;
+   mp_digit      mp;
+   unsigned long buf;
+   int           first = 1, bitbuf = 0, bitcpy = 0, bitcnt = 0, mode = 0,
+                 digidx = 0;
+
+   if (k == NULL || G == NULL || R == NULL || modulus == NULL)
+       return ECC_BAD_ARG_E;
+
+   /* init montgomery reduction */
+   if ((err = mp_montgomery_setup(modulus, &mp)) != MP_OKAY) {
+      return err;
+   }
+   if ((err = mp_init(&mu)) != MP_OKAY) {
+      return err;
+   }
+   if ((err = mp_montgomery_calc_normalization(&mu, modulus)) != MP_OKAY) {
+      mp_clear(&mu);
+      return err;
+   }
+  
+  /* alloc ram for window temps */
+  for (i = 0; i < 8; i++) {
+      M[i] = ecc_new_point();
+      if (M[i] == NULL) {
+         for (j = 0; j < i; j++) {
+             ecc_del_point(M[j]);
+         }
+         mp_clear(&mu);
+         return MEMORY_E;
+      }
+  }
+
+   /* make a copy of G incase R==G */
+   tG = ecc_new_point();
+   if (tG == NULL)
+       err = MEMORY_E;
+
+   /* tG = G  and convert to montgomery */
+   if (err == MP_OKAY) {
+       if (mp_cmp_d(&mu, 1) == MP_EQ) {
+           err = mp_copy(&G->x, &tG->x);
+           if (err == MP_OKAY)
+               err = mp_copy(&G->y, &tG->y);
+           if (err == MP_OKAY)
+               err = mp_copy(&G->z, &tG->z);
+       } else {
+           err = mp_mulmod(&G->x, &mu, modulus, &tG->x);
+           if (err == MP_OKAY)
+               err = mp_mulmod(&G->y, &mu, modulus, &tG->y);
+           if (err == MP_OKAY)
+               err = mp_mulmod(&G->z, &mu, modulus, &tG->z);
+       }
+   }
+   mp_clear(&mu);
+   
+   /* calc the M tab, which holds kG for k==8..15 */
+   /* M[0] == 8G */
+   if (err == MP_OKAY)
+       err = ecc_projective_dbl_point(tG, M[0], modulus, &mp);
+   if (err == MP_OKAY)
+       err = ecc_projective_dbl_point(M[0], M[0], modulus, &mp);
+   if (err == MP_OKAY)
+       err = ecc_projective_dbl_point(M[0], M[0], modulus, &mp);
+
+   /* now find (8+k)G for k=1..7 */
+   if (err == MP_OKAY)
+       for (j = 9; j < 16; j++) {
+           err = ecc_projective_add_point(M[j-9], tG, M[j-8], modulus, &mp);
+           if (err != MP_OKAY) break;
+       }
+
+   /* setup sliding window */
+   if (err == MP_OKAY) {
+       mode   = 0;
+       bitcnt = 1;
+       buf    = 0;
+       digidx = get_digit_count(k) - 1;
+       bitcpy = bitbuf = 0;
+       first  = 1;
+
+       /* perform ops */
+       for (;;) {
+           /* grab next digit as required */
+           if (--bitcnt == 0) {
+               if (digidx == -1) {
+                   break;
+               }
+               buf    = get_digit(k, digidx);
+               bitcnt = (int) DIGIT_BIT; 
+               --digidx;
+           }
+
+           /* grab the next msb from the ltiplicand */
+           i = (int)(buf >> (DIGIT_BIT - 1)) & 1;
+           buf <<= 1;
+
+           /* skip leading zero bits */
+           if (mode == 0 && i == 0)
+               continue;
+
+           /* if the bit is zero and mode == 1 then we double */
+           if (mode == 1 && i == 0) {
+               err = ecc_projective_dbl_point(R, R, modulus, &mp);
+               if (err != MP_OKAY) break;
+               continue;
+           }
+
+           /* else we add it to the window */
+           bitbuf |= (i << (WINSIZE - ++bitcpy));
+           mode = 2;
+
+           if (bitcpy == WINSIZE) {
+               /* if this is the first window we do a simple copy */
+               if (first == 1) {
+                   /* R = kG [k = first window] */
+                   err = mp_copy(&M[bitbuf-8]->x, &R->x);
+                   if (err != MP_OKAY) break;
+
+                   err = mp_copy(&M[bitbuf-8]->y, &R->y);
+                   if (err != MP_OKAY) break;
+
+                   err = mp_copy(&M[bitbuf-8]->z, &R->z);
+                   first = 0;
+               } else {
+                   /* normal window */
+                   /* ok window is filled so double as required and add  */
+                   /* double first */
+                   for (j = 0; j < WINSIZE; j++) {
+                       err = ecc_projective_dbl_point(R, R, modulus, &mp);
+                       if (err != MP_OKAY) break;
+                   }
+                   if (err != MP_OKAY) break;  /* out of first for(;;) */
+
+                   /* then add, bitbuf will be 8..15 [8..2^WINSIZE] guaranted */
+                   err = ecc_projective_add_point(R,M[bitbuf-8],R,modulus,&mp);
+               }
+               if (err != MP_OKAY) break;
+               /* empty window and reset */
+               bitcpy = bitbuf = 0;
+               mode = 1;
+           }
+       }
+   }
+
+   /* if bits remain then double/add */
+   if (err == MP_OKAY) {
+       if (mode == 2 && bitcpy > 0) {
+           /* double then add */
+           for (j = 0; j < bitcpy; j++) {
+               /* only double if we have had at least one add first */
+               if (first == 0) {
+                   err = ecc_projective_dbl_point(R, R, modulus, &mp);
+                   if (err != MP_OKAY) break;
+               }
+
+               bitbuf <<= 1;
+               if ((bitbuf & (1 << WINSIZE)) != 0) {
+                   if (first == 1) {
+                       /* first add, so copy */
+                       err = mp_copy(&tG->x, &R->x);
+                       if (err != MP_OKAY) break;
+
+                       err = mp_copy(&tG->y, &R->y);
+                       if (err != MP_OKAY) break;
+
+                       err = mp_copy(&tG->z, &R->z);
+                       if (err != MP_OKAY) break;
+                       first = 0;
+                   } else {
+                       /* then add */
+                       err = ecc_projective_add_point(R, tG, R, modulus, &mp);
+                       if (err != MP_OKAY) break;
+                   }
+               }
+           }
+       }
+   }
+
+   /* map R back from projective space */
+   if (err == MP_OKAY && map)
+       err = ecc_map(R, modulus, &mp);
+
+   mp_clear(&mu);
+   ecc_del_point(tG);
+   for (i = 0; i < 8; i++) {
+       ecc_del_point(M[i]);
+   }
+   return err;
+}
+
+#undef WINSIZE
+#endif /* ECC_TIMING_RESISTANT */
+
+
+/**
+   Allocate a new ECC point
+   return A newly allocated point or NULL on error 
+*/
+ecc_point* ecc_new_point(void)
+{
+   ecc_point* p;
+   p = (ecc_point*)XMALLOC(sizeof(ecc_point), 0, DYNAMIC_TYPE_BIGINT);
+   if (p == NULL) {
+      return NULL;
+   }
+   XMEMSET(p, 0, sizeof(ecc_point));
+   if (mp_init_multi(&p->x, &p->y, &p->z, NULL, NULL, NULL) != MP_OKAY) {
+      XFREE(p, 0, DYNAMIC_TYPE_BIGINT);
+      return NULL;
+   }
+   return p;
+}
+
+/** Free an ECC point from memory
+  p   The point to free
+*/
+void ecc_del_point(ecc_point* p)
+{
+   /* prevents free'ing null arguments */
+   if (p != NULL) {
+      mp_clear(&p->x);
+      mp_clear(&p->y);
+      mp_clear(&p->z);
+      XFREE(p, 0, DYNAMIC_TYPE_BIGINT);
+   }
+}
+
+
+/** Returns whether an ECC idx is valid or not
+  n      The idx number to check
+  return 1 if valid, 0 if not
+*/  
+static int ecc_is_valid_idx(int n)
+{
+   int x;
+
+   for (x = 0; ecc_sets[x].size != 0; x++)
+       ;
+   /* -1 is a valid index --- indicating that the domain params
+      were supplied by the user */
+   if ((n >= -1) && (n < x)) {
+      return 1;
+   }
+   return 0;
+}
+
+
+/**
+  Create an ECC shared secret between two keys
+  private_key      The private ECC key
+  public_key       The public key
+  out              [out] Destination of the shared secret
+                   Conforms to EC-DH from ANSI X9.63
+  outlen           [in/out] The max size and resulting size of the shared secret
+  return           MP_OKAY if successful
+*/
+int ecc_shared_secret(ecc_key* private_key, ecc_key* public_key, byte* out,
+                      word32* outlen)
+{
+   word32         x = 0;
+   ecc_point*     result;
+   mp_int         prime;
+   int            err;
+
+   if (private_key == NULL || public_key == NULL || out == NULL ||
+                                                    outlen == NULL)
+       return BAD_FUNC_ARG;
+
+   /* type valid? */
+   if (private_key->type != ECC_PRIVATEKEY) {
+      return ECC_BAD_ARG_E;
+   }
+
+   if (ecc_is_valid_idx(private_key->idx) == 0 ||
+       ecc_is_valid_idx(public_key->idx)  == 0)
+      return ECC_BAD_ARG_E;
+
+   if (XSTRNCMP(private_key->dp->name, public_key->dp->name, ECC_MAXNAME) != 0)
+      return ECC_BAD_ARG_E;
+
+   /* make new point */
+   result = ecc_new_point();
+   if (result == NULL) {
+      return MEMORY_E;
+   }
+
+   if ((err = mp_init(&prime)) != MP_OKAY) {
+      ecc_del_point(result);
+      return err;
+   }
+
+   err = mp_read_radix(&prime, (char *)private_key->dp->prime, 16);
+
+   if (err == MP_OKAY)
+       err = ecc_mulmod(&private_key->k, &public_key->pubkey, result, &prime,1);
+
+   if (err == MP_OKAY) {
+       x = mp_unsigned_bin_size(&prime);
+       if (*outlen < x)
+          err = BUFFER_E;
+   }
+
+   if (err == MP_OKAY) {
+       XMEMSET(out, 0, x);
+       err = mp_to_unsigned_bin(&result->x,out + (x -
+                                            mp_unsigned_bin_size(&result->x)));
+       *outlen = x;
+   }
+
+   mp_clear(&prime);
+   ecc_del_point(result);
+
+   return err;
+}
+
+
+int ecc_make_key_ex(RNG* rng, ecc_key* key, const ecc_set_type* dp);
+
+/**
+  Make a new ECC key 
+  rng          An active RNG state
+  keysize      The keysize for the new key (in octets from 20 to 65 bytes)
+  key          [out] Destination of the newly created key
+  return       MP_OKAY if successful,
+                       upon error all allocated memory will be freed
+*/
+int ecc_make_key(RNG* rng, int keysize, ecc_key* key)
+{
+   int x, err;
+
+   /* find key size */
+   for (x = 0; (keysize > ecc_sets[x].size) && (ecc_sets[x].size != 0); x++)
+       ;
+   keysize = ecc_sets[x].size;
+
+   if (keysize > ECC_MAXSIZE || ecc_sets[x].size == 0) {
+      return BAD_FUNC_ARG;
+   }
+   err = ecc_make_key_ex(rng, key, &ecc_sets[x]);
+   key->idx = x;
+
+   return err;
+}
+
+int ecc_make_key_ex(RNG* rng, ecc_key* key, const ecc_set_type* dp)
+{
+   int            err;
+   ecc_point*     base;
+   mp_int         prime;
+   mp_int         order;
+   byte           buf[ECC_MAXSIZE];
+   int            keysize;
+
+   if (key == NULL || rng == NULL || dp == NULL)
+       return ECC_BAD_ARG_E;
+
+   key->idx = -1;
+   key->dp  = dp;
+   keysize  = dp->size;
+
+   /* allocate ram */
+   base = NULL;
+
+   /* make up random string */
+   RNG_GenerateBlock(rng, buf, keysize);
+   buf[0] |= 0x0c;
+
+   /* setup the key variables */
+   if ((err = mp_init_multi(&key->pubkey.x, &key->pubkey.y, &key->pubkey.z,
+                            &key->k, &prime, &order)) != MP_OKAY)
+       return MEMORY_E;
+
+   base = ecc_new_point();
+   if (base == NULL)
+      err = MEMORY_E;
+
+   /* read in the specs for this key */
+   if (err == MP_OKAY) 
+       err = mp_read_radix(&prime,   (char *)key->dp->prime, 16);
+   if (err == MP_OKAY) 
+       err = mp_read_radix(&order,   (char *)key->dp->order, 16);
+   if (err == MP_OKAY) 
+       err = mp_read_radix(&base->x, (char *)key->dp->Gx, 16);
+   if (err == MP_OKAY) 
+       err = mp_read_radix(&base->y, (char *)key->dp->Gy, 16);
+   
+   if (err == MP_OKAY) 
+       mp_set(&base->z, 1);
+   if (err == MP_OKAY) 
+       err = mp_read_unsigned_bin(&key->k, (byte*)buf, keysize);
+
+   /* the key should be smaller than the order of base point */
+   if (err == MP_OKAY) { 
+       if (mp_cmp(&key->k, &order) != MP_LT)
+           err = mp_mod(&key->k, &order, &key->k);
+   }
+   /* make the public key */
+   if (err == MP_OKAY)
+       err = ecc_mulmod(&key->k, base, &key->pubkey, &prime, 1);
+   if (err == MP_OKAY)
+       key->type = ECC_PRIVATEKEY;
+
+   if (err != MP_OKAY) {
+       /* clean up */
+       mp_clear(&key->pubkey.x);
+       mp_clear(&key->pubkey.y);
+       mp_clear(&key->pubkey.z);
+       mp_clear(&key->k);
+   }
+   ecc_del_point(base);
+   mp_clear(&prime);
+   mp_clear(&order);
+#ifdef ECC_CLEAN_STACK
+   XMEMSET(buff, 0, ECC_MAXSIZE);
+#endif
+   return err;
+}
+
+
+/* Setup dynamic pointers is using normal math for proper freeing */
+void ecc_init(ecc_key* key)
+{
+    (void)key;
+#ifndef USE_FAST_MATH
+    key->pubkey.x.dp = NULL;
+    key->pubkey.y.dp = NULL;
+    key->pubkey.z.dp = NULL;
+
+    key->k.dp = NULL;
+#endif
+}
+
+
+/**
+  Sign a message digest
+  in        The message digest to sign
+  inlen     The length of the digest
+  out       [out] The destination for the signature
+  outlen    [in/out] The max size and resulting size of the signature
+  key       A private ECC key
+  return    MP_OKAY if successful
+*/
+int ecc_sign_hash(const byte* in, word32 inlen, byte* out, word32 *outlen, 
+                  RNG* rng, ecc_key* key)
+{
+   mp_int        r;
+   mp_int        s;
+   mp_int        e;
+   mp_int        p;
+   int           err;
+
+   if (in == NULL || out == NULL || outlen == NULL || key == NULL || rng ==NULL)
+       return ECC_BAD_ARG_E;
+
+   /* is this a private key? */
+   if (key->type != ECC_PRIVATEKEY) {
+      return ECC_BAD_ARG_E;
+   }
+   
+   /* is the IDX valid ?  */
+   if (ecc_is_valid_idx(key->idx) != 1) {
+      return ECC_BAD_ARG_E;
+   }
+
+   /* get the hash and load it as a bignum into 'e' */
+   /* init the bignums */
+   if ((err = mp_init_multi(&r, &s, &p, &e, NULL, NULL)) != MP_OKAY) { 
+      return err;
+   }
+   err = mp_read_radix(&p, (char *)key->dp->order, 16);
+
+   if (err == MP_OKAY) {
+       /* we may need to truncate if hash is longer than key size */
+       word32 orderBits = mp_count_bits(&p);
+
+       /* truncate down to byte size, may be all that's needed */
+       if ( (CYASSL_BIT_SIZE * inlen) > orderBits)
+           inlen = (orderBits + CYASSL_BIT_SIZE - 1)/CYASSL_BIT_SIZE;
+       err = mp_read_unsigned_bin(&e, (byte*)in, inlen);
+
+       /* may still need bit truncation too */
+       if (err == MP_OKAY && (CYASSL_BIT_SIZE * inlen) > orderBits)
+           mp_rshb(&e, CYASSL_BIT_SIZE - (orderBits & 0x7));
+   }
+
+   /* make up a key and export the public copy */
+   if (err == MP_OKAY) {
+       ecc_key pubkey;
+       ecc_init(&pubkey);
+       for (;;) {
+           err = ecc_make_key_ex(rng, &pubkey, key->dp);
+           if (err != MP_OKAY) break;
+
+           /* find r = x1 mod n */
+           err = mp_mod(&pubkey.pubkey.x, &p, &r);
+           if (err != MP_OKAY) break;
+
+           if (mp_iszero(&r) == MP_YES)
+               ecc_free(&pubkey);
+           else { 
+               /* find s = (e + xr)/k */
+               err = mp_invmod(&pubkey.k, &p, &pubkey.k);
+               if (err != MP_OKAY) break;
+
+               err = mp_mulmod(&key->k, &r, &p, &s);   /* s = xr */
+               if (err != MP_OKAY) break;
+           
+               err = mp_add(&e, &s, &s);               /* s = e +  xr */
+               if (err != MP_OKAY) break;
+
+               err = mp_mod(&s, &p, &s);               /* s = e +  xr */
+               if (err != MP_OKAY) break;
+
+               err = mp_mulmod(&s, &pubkey.k, &p, &s); /* s = (e + xr)/k */
+               if (err != MP_OKAY) break;
+
+               ecc_free(&pubkey);
+               if (mp_iszero(&s) == MP_NO)
+                   break;
+            }
+       }
+       ecc_free(&pubkey);
+   }
+
+   /* store as SEQUENCE { r, s -- integer } */
+   if (err == MP_OKAY)
+       err = StoreECC_DSA_Sig(out, outlen, &r, &s);
+
+   mp_clear(&r);
+   mp_clear(&s);
+   mp_clear(&p);
+   mp_clear(&e);
+
+   return err;
+}
+
+
+/**
+  Free an ECC key from memory
+  key   The key you wish to free
+*/
+void ecc_free(ecc_key* key)
+{
+   if (key == NULL)
+       return;
+
+   mp_clear(&key->pubkey.x);
+   mp_clear(&key->pubkey.y);
+   mp_clear(&key->pubkey.z);
+   mp_clear(&key->k);
+}
+
+
+#ifdef USE_FAST_MATH
+    #define GEN_MEM_ERR FP_MEM
+#else
+    #define GEN_MEM_ERR MP_MEM
+#endif
+
+#ifdef ECC_SHAMIR
+
+/** Computes kA*A + kB*B = C using Shamir's Trick
+  A        First point to multiply
+  kA       What to multiple A by
+  B        Second point to multiply
+  kB       What to multiple B by
+  C        [out] Destination point (can overlap with A or B)
+  modulus  Modulus for curve 
+  return MP_OKAY on success
+*/
+#ifdef FP_ECC
+static int normal_ecc_mul2add(ecc_point* A, mp_int* kA,
+                             ecc_point* B, mp_int* kB,
+                             ecc_point* C, mp_int* modulus)
+#else
+static int ecc_mul2add(ecc_point* A, mp_int* kA,
+                    ecc_point* B, mp_int* kB,
+                    ecc_point* C, mp_int* modulus)
+#endif
+{
+  ecc_point*     precomp[16];
+  unsigned       bitbufA, bitbufB, lenA, lenB, len, x, y, nA, nB, nibble;
+  unsigned char* tA;
+  unsigned char* tB;
+  int            err = MP_OKAY, first;
+  int            muInit    = 0;
+  int            tableInit = 0;
+  mp_digit mp;
+  mp_int   mu;
+ 
+  /* argchks */
+  if (A == NULL || kA == NULL || B == NULL || kB == NULL || C == NULL || 
+                   modulus == NULL)
+    return ECC_BAD_ARG_E;
+
+
+  /* allocate memory */
+  tA = XMALLOC(ECC_BUFSIZE, NULL, DYNAMIC_TYPE_TMP_BUFFER);
+  if (tA == NULL) {
+     return GEN_MEM_ERR;
+  }
+  tB = XMALLOC(ECC_BUFSIZE, NULL, DYNAMIC_TYPE_TMP_BUFFER);
+  if (tB == NULL) {
+     XFREE(tA, NULL, DYNAMIC_TYPE_TMP_BUFFER);
+     return GEN_MEM_ERR;
+  }
+  XMEMSET(tA, 0, ECC_BUFSIZE);
+  XMEMSET(tB, 0, ECC_BUFSIZE);
+
+  /* get sizes */
+  lenA = mp_unsigned_bin_size(kA);
+  lenB = mp_unsigned_bin_size(kB);
+  len  = MAX(lenA, lenB);
+
+  /* sanity check */
+  if ((lenA > ECC_BUFSIZE) || (lenB > ECC_BUFSIZE)) {
+     err = BAD_FUNC_ARG;
+  }
+
+  if (err == MP_OKAY) {
+    /* extract and justify kA */
+    err = mp_to_unsigned_bin(kA, (len - lenA) + tA);
+
+    /* extract and justify kB */
+    if (err == MP_OKAY)
+        err = mp_to_unsigned_bin(kB, (len - lenB) + tB);
+
+    /* allocate the table */
+    if (err == MP_OKAY) {
+        for (x = 0; x < 16; x++) {
+            precomp[x] = ecc_new_point();
+            if (precomp[x] == NULL) {
+                for (y = 0; y < x; ++y) {
+                    ecc_del_point(precomp[y]);
+                }
+                err = GEN_MEM_ERR;
+                break;
+            }
+        }
+    }
+  }
+
+  if (err == MP_OKAY)
+    tableInit = 1;
+
+  if (err == MP_OKAY)
+   /* init montgomery reduction */
+   err = mp_montgomery_setup(modulus, &mp);
+
+  if (err == MP_OKAY)
+    err = mp_init(&mu);
+  if (err == MP_OKAY)
+    muInit = 1;
+
+  if (err == MP_OKAY)
+    err = mp_montgomery_calc_normalization(&mu, modulus);
+
+  if (err == MP_OKAY)
+    /* copy ones ... */
+    err = mp_mulmod(&A->x, &mu, modulus, &precomp[1]->x);
+
+  if (err == MP_OKAY)
+    err = mp_mulmod(&A->y, &mu, modulus, &precomp[1]->y);
+  if (err == MP_OKAY)
+    err = mp_mulmod(&A->z, &mu, modulus, &precomp[1]->z);
+
+  if (err == MP_OKAY)
+    err = mp_mulmod(&B->x, &mu, modulus, &precomp[1<<2]->x);
+  if (err == MP_OKAY)
+    err = mp_mulmod(&B->y, &mu, modulus, &precomp[1<<2]->y);
+  if (err == MP_OKAY)
+    err = mp_mulmod(&B->z, &mu, modulus, &precomp[1<<2]->z);
+
+  if (err == MP_OKAY)
+    /* precomp [i,0](A + B) table */
+    err = ecc_projective_dbl_point(precomp[1], precomp[2], modulus, &mp);
+
+  if (err == MP_OKAY)
+    err = ecc_projective_add_point(precomp[1], precomp[2], precomp[3],
+                                   modulus, &mp);
+  if (err == MP_OKAY)
+    /* precomp [0,i](A + B) table */
+    err = ecc_projective_dbl_point(precomp[1<<2], precomp[2<<2], modulus, &mp);
+
+  if (err == MP_OKAY)
+    err = ecc_projective_add_point(precomp[1<<2], precomp[2<<2], precomp[3<<2],
+                                   modulus, &mp);
+
+  if (err == MP_OKAY) {
+    /* precomp [i,j](A + B) table (i != 0, j != 0) */
+    for (x = 1; x < 4; x++) {
+        for (y = 1; y < 4; y++) {
+            if (err == MP_OKAY)
+                err = ecc_projective_add_point(precomp[x], precomp[(y<<2)],
+                                               precomp[x+(y<<2)], modulus, &mp);
+        }
+    } 
+  }  
+
+  if (err == MP_OKAY) {
+    nibble  = 3;
+    first   = 1;
+    bitbufA = tA[0];
+    bitbufB = tB[0];
+
+    /* for every byte of the multiplicands */
+    for (x = -1;; ) {
+        /* grab a nibble */
+        if (++nibble == 4) {
+            ++x; if (x == len) break;
+            bitbufA = tA[x];
+            bitbufB = tB[x];
+            nibble  = 0;
+        }
+
+        /* extract two bits from both, shift/update */
+        nA = (bitbufA >> 6) & 0x03;
+        nB = (bitbufB >> 6) & 0x03;
+        bitbufA = (bitbufA << 2) & 0xFF;   
+        bitbufB = (bitbufB << 2) & 0xFF;   
+
+        /* if both zero, if first, continue */
+        if ((nA == 0) && (nB == 0) && (first == 1)) {
+            continue;
+        }
+
+        /* double twice, only if this isn't the first */
+        if (first == 0) {
+            /* double twice */
+            if (err == MP_OKAY)
+                err = ecc_projective_dbl_point(C, C, modulus, &mp);
+            if (err == MP_OKAY)
+                err = ecc_projective_dbl_point(C, C, modulus, &mp);
+            else
+                break;
+        }
+
+        /* if not both zero */
+        if ((nA != 0) || (nB != 0)) {
+            if (first == 1) {
+                /* if first, copy from table */
+                first = 0;
+                if (err == MP_OKAY)
+                    err = mp_copy(&precomp[nA + (nB<<2)]->x, &C->x);
+
+                if (err == MP_OKAY)
+                    err = mp_copy(&precomp[nA + (nB<<2)]->y, &C->y);
+
+                if (err == MP_OKAY)
+                    err = mp_copy(&precomp[nA + (nB<<2)]->z, &C->z);
+                else
+                    break;
+            } else {
+                /* if not first, add from table */
+                if (err == MP_OKAY)
+                    err = ecc_projective_add_point(C, precomp[nA + (nB<<2)], C,
+                                                   modulus, &mp);
+                else
+                    break;
+            }
+        }
+    }
+  }
+
+  if (err == MP_OKAY)
+    /* reduce to affine */
+    err = ecc_map(C, modulus, &mp);
+
+  /* clean up */
+  if (muInit)
+    mp_clear(&mu);
+
+  if (tableInit) {
+    for (x = 0; x < 16; x++) {
+       ecc_del_point(precomp[x]);
+    }
+  }
+#ifdef ECC_CLEAN_STACK
+   XMEMSET(tA, 0, ECC_BUF_SIZE);
+   XMEMSET(tB, 0, ECC_BUF_SIZE);
+#endif
+   XFREE(tA, NULL, DYNAMIC_TYPE_TMP_BUFFER);
+   XFREE(tB, NULL, DYNAMIC_TYPE_TMP_BUFFER);
+
+   return err;
+}
+
+
+#endif /* ECC_SHAMIR */
+
+
+
+/* verify 
+ *
+ * w  = s^-1 mod n
+ * u1 = xw 
+ * u2 = rw
+ * X = u1*G + u2*Q
+ * v = X_x1 mod n
+ * accept if v == r
+ */
+
+/**
+   Verify an ECC signature
+   sig         The signature to verify
+   siglen      The length of the signature (octets)
+   hash        The hash (message digest) that was signed
+   hashlen     The length of the hash (octets)
+   stat        Result of signature, 1==valid, 0==invalid
+   key         The corresponding public ECC key
+   return      MP_OKAY if successful (even if the signature is not valid)
+*/
+int ecc_verify_hash(const byte* sig, word32 siglen, const byte* hash,
+                    word32 hashlen, int* stat, ecc_key* key)
+{
+   ecc_point    *mG, *mQ;
+   mp_int        r;
+   mp_int        s;
+   mp_int        v;
+   mp_int        w;
+   mp_int        u1;
+   mp_int        u2;
+   mp_int        e;
+   mp_int        p;
+   mp_int        m;
+   int           err;
+
+   if (sig == NULL || hash == NULL || stat == NULL || key == NULL)
+       return ECC_BAD_ARG_E; 
+
+   /* default to invalid signature */
+   *stat = 0;
+
+   /* is the IDX valid ?  */
+   if (ecc_is_valid_idx(key->idx) != 1) {
+      return ECC_BAD_ARG_E;
+   }
+
+   /* allocate ints */
+   if ((err = mp_init_multi(&v, &w, &u1, &u2, &p, &e)) != MP_OKAY) {
+      return MEMORY_E;
+   }
+
+   if ((err = mp_init(&m)) != MP_OKAY) {
+      mp_clear(&v);
+      mp_clear(&w);
+      mp_clear(&u1);
+      mp_clear(&u2);
+      mp_clear(&p);
+      mp_clear(&e);
+      return MEMORY_E;
+   }
+
+   /* allocate points */
+   mG = ecc_new_point();
+   mQ = ecc_new_point();
+   if (mQ  == NULL || mG == NULL)
+      err = MEMORY_E;
+
+   /* Note, DecodeECC_DSA_Sig() calls mp_init() on r and s.
+    * If either of those don't allocate correctly, none of
+    * the rest of this function will execute, and everything
+    * gets cleaned up at the end. */
+   XMEMSET(&r, 0, sizeof(r));
+   XMEMSET(&s, 0, sizeof(s));
+   if (err == MP_OKAY) 
+       err = DecodeECC_DSA_Sig(sig, siglen, &r, &s);
+
+   /* get the order */
+   if (err == MP_OKAY)
+       err = mp_read_radix(&p, (char *)key->dp->order, 16);
+
+   /* get the modulus */
+   if (err == MP_OKAY)
+       err = mp_read_radix(&m, (char *)key->dp->prime, 16);
+
+   /* check for zero */
+   if (err == MP_OKAY) {
+       if (mp_iszero(&r) || mp_iszero(&s) || mp_cmp(&r, &p) != MP_LT ||
+                                             mp_cmp(&s, &p) != MP_LT)
+           err = MP_ZERO_E; 
+   }
+   /* read hash */
+   if (err == MP_OKAY) {
+       /* we may need to truncate if hash is longer than key size */
+       unsigned int orderBits = mp_count_bits(&p);
+
+       /* truncate down to byte size, may be all that's needed */
+       if ( (CYASSL_BIT_SIZE * hashlen) > orderBits)
+           hashlen = (orderBits + CYASSL_BIT_SIZE - 1)/CYASSL_BIT_SIZE;
+       err = mp_read_unsigned_bin(&e, hash, hashlen);
+
+       /* may still need bit truncation too */
+       if (err == MP_OKAY && (CYASSL_BIT_SIZE * hashlen) > orderBits)
+           mp_rshb(&e, CYASSL_BIT_SIZE - (orderBits & 0x7));
+   }
+
+   /*  w  = s^-1 mod n */
+   if (err == MP_OKAY)
+       err = mp_invmod(&s, &p, &w);
+
+   /* u1 = ew */
+   if (err == MP_OKAY)
+       err = mp_mulmod(&e, &w, &p, &u1);
+
+   /* u2 = rw */
+   if (err == MP_OKAY)
+       err = mp_mulmod(&r, &w, &p, &u2);
+
+   /* find mG and mQ */
+   if (err == MP_OKAY)
+       err = mp_read_radix(&mG->x, (char *)key->dp->Gx, 16);
+
+   if (err == MP_OKAY)
+       err = mp_read_radix(&mG->y, (char *)key->dp->Gy, 16);
+   if (err == MP_OKAY)
+       mp_set(&mG->z, 1);
+
+   if (err == MP_OKAY)
+       err = mp_copy(&key->pubkey.x, &mQ->x);
+   if (err == MP_OKAY)
+       err = mp_copy(&key->pubkey.y, &mQ->y);
+   if (err == MP_OKAY)
+       err = mp_copy(&key->pubkey.z, &mQ->z);
+
+#ifndef ECC_SHAMIR
+    {
+       mp_digit      mp;
+
+       /* compute u1*mG + u2*mQ = mG */
+       if (err == MP_OKAY)
+           err = ecc_mulmod(&u1, mG, mG, &m, 0);
+       if (err == MP_OKAY)
+           err = ecc_mulmod(&u2, mQ, mQ, &m, 0);
+  
+       /* find the montgomery mp */
+       if (err == MP_OKAY)
+           err = mp_montgomery_setup(&m, &mp);
+
+       /* add them */
+       if (err == MP_OKAY)
+           err = ecc_projective_add_point(mQ, mG, mG, &m, &mp);
+   
+       /* reduce */
+       if (err == MP_OKAY)
+           err = ecc_map(mG, &m, &mp);
+    }
+#else
+       /* use Shamir's trick to compute u1*mG + u2*mQ using half the doubles */
+       if (err == MP_OKAY)
+           err = ecc_mul2add(mG, &u1, mQ, &u2, mG, &m);
+#endif /* ECC_SHAMIR */ 
+
+   /* v = X_x1 mod n */
+   if (err == MP_OKAY)
+       err = mp_mod(&mG->x, &p, &v);
+
+   /* does v == r */
+   if (err == MP_OKAY) {
+       if (mp_cmp(&v, &r) == MP_EQ)
+           *stat = 1;
+   }
+
+   ecc_del_point(mG);
+   ecc_del_point(mQ);
+
+   mp_clear(&r);
+   mp_clear(&s);
+   mp_clear(&v);
+   mp_clear(&w);
+   mp_clear(&u1);
+   mp_clear(&u2);
+   mp_clear(&p);
+   mp_clear(&e);
+   mp_clear(&m);
+
+   return err;
+}
+
+
+/* export public ECC key in ANSI X9.63 format */
+int ecc_export_x963(ecc_key* key, byte* out, word32* outLen)
+{
+   byte   buf[ECC_BUFSIZE];
+   word32 numlen;
+   int    ret = MP_OKAY;
+
+   if (key == NULL || out == NULL || outLen == NULL)
+       return ECC_BAD_ARG_E;
+
+   if (ecc_is_valid_idx(key->idx) == 0) {
+      return ECC_BAD_ARG_E;
+   }
+   numlen = key->dp->size;
+
+   if (*outLen < (1 + 2*numlen)) {
+      *outLen = 1 + 2*numlen;
+      return BUFFER_E;
+   }
+
+   /* store byte 0x04 */
+   out[0] = 0x04;
+
+   /* pad and store x */
+   XMEMSET(buf, 0, sizeof(buf));
+   ret = mp_to_unsigned_bin(&key->pubkey.x,
+                      buf + (numlen - mp_unsigned_bin_size(&key->pubkey.x)));
+   if (ret != MP_OKAY)
+       return ret;
+   XMEMCPY(out+1, buf, numlen);
+
+   /* pad and store y */
+   XMEMSET(buf, 0, sizeof(buf));
+   ret = mp_to_unsigned_bin(&key->pubkey.y,
+                      buf + (numlen - mp_unsigned_bin_size(&key->pubkey.y)));
+   if (ret != MP_OKAY)
+       return ret;
+   XMEMCPY(out+1+numlen, buf, numlen);
+
+   *outLen = 1 + 2*numlen;
+
+   return 0;
+}
+
+
+/* import public ECC key in ANSI X9.63 format */
+int ecc_import_x963(const byte* in, word32 inLen, ecc_key* key)
+{
+   int x, err;
+   
+   if (in == NULL || key == NULL)
+       return ECC_BAD_ARG_E;
+
+   /* must be odd */
+   if ((inLen & 1) == 0) {
+      return ECC_BAD_ARG_E;
+   }
+
+   /* init key */
+   if (mp_init_multi(&key->pubkey.x, &key->pubkey.y, &key->pubkey.z, &key->k,
+                     NULL, NULL) != MP_OKAY) {
+      return MEMORY_E;
+   }
+   err = MP_OKAY;
+
+   /* check for 4, 6 or 7 */
+   if (in[0] != 4 && in[0] != 6 && in[0] != 7) {
+      err = ASN_PARSE_E;
+   }
+
+   /* read data */
+   if (err == MP_OKAY) 
+       err = mp_read_unsigned_bin(&key->pubkey.x, (byte*)in+1, (inLen-1)>>1);
+
+   if (err == MP_OKAY) 
+       err = mp_read_unsigned_bin(&key->pubkey.y, (byte*)in+1+((inLen-1)>>1),
+                                  (inLen-1)>>1);
+   
+   if (err == MP_OKAY) 
+       mp_set(&key->pubkey.z, 1);
+
+   if (err == MP_OKAY) {
+     /* determine the idx */
+      for (x = 0; ecc_sets[x].size != 0; x++) {
+         if ((unsigned)ecc_sets[x].size >= ((inLen-1)>>1)) {
+            break;
+         }
+      }
+      if (ecc_sets[x].size == 0) {
+         err = ASN_PARSE_E;
+      } else {
+          /* set the idx */
+          key->idx  = x;
+          key->dp = &ecc_sets[x];
+          key->type = ECC_PUBLICKEY;
+      }
+   }
+
+   if (err != MP_OKAY) {
+       mp_clear(&key->pubkey.x);
+       mp_clear(&key->pubkey.y);
+       mp_clear(&key->pubkey.z);
+       mp_clear(&key->k);
+   }
+
+   return err;
+}
+
+
+/* export ecc private key only raw, outLen is in/out size 
+   return MP_OKAY on success */
+int ecc_export_private_only(ecc_key* key, byte* out, word32* outLen)
+{
+   word32 numlen;
+
+   if (key == NULL || out == NULL || outLen == NULL)
+       return ECC_BAD_ARG_E;
+
+   if (ecc_is_valid_idx(key->idx) == 0) {
+      return ECC_BAD_ARG_E;
+   }
+   numlen = key->dp->size;
+
+   if (*outLen < numlen) {
+      *outLen = numlen;
+      return BUFFER_E;
+   }
+   *outLen = numlen; 
+   XMEMSET(out, 0, *outLen);
+   return mp_to_unsigned_bin(&key->k, out + (numlen -
+                                             mp_unsigned_bin_size(&key->k)));
+}
+
+
+/* ecc private key import, public key in ANSI X9.63 format, private raw */
+int ecc_import_private_key(const byte* priv, word32 privSz, const byte* pub,
+                           word32 pubSz, ecc_key* key)
+{
+    int ret = ecc_import_x963(pub, pubSz, key);
+    if (ret != 0)
+        return ret;
+
+    key->type = ECC_PRIVATEKEY;
+
+    return mp_read_unsigned_bin(&key->k, priv, privSz);
+}
+
+
+/* key size in octets */
+int ecc_size(ecc_key* key)
+{
+    if (key == NULL) return 0;
+
+    return key->dp->size;
+}
+
+
+/* worst case estimate, check actual return from ecc_sign_hash for actual value
+   of signature size in octets */
+int ecc_sig_size(ecc_key* key)
+{
+    int sz = ecc_size(key);
+    if (sz < 0)
+        return sz;
+
+    return sz * 2 + SIG_HEADER_SZ + 4;  /* (4) worst case estimate */
+}
+
+
+#ifdef FP_ECC
+
+/* fixed point ECC cache */
+/* number of entries in the cache */
+#ifndef FP_ENTRIES
+    #define FP_ENTRIES 16
+#endif
+
+/* number of bits in LUT */
+#ifndef FP_LUT
+    #define FP_LUT     8U
+#endif
+
+#ifdef ECC_SHAMIR
+    /* Sharmir requires a bigger LUT, TAO */
+    #if (FP_LUT > 12) || (FP_LUT < 4)
+        #error FP_LUT must be between 4 and 12 inclusively
+    #endif
+#else
+    #if (FP_LUT > 12) || (FP_LUT < 2)
+        #error FP_LUT must be between 2 and 12 inclusively
+    #endif
+#endif
+
+
+/** Our FP cache */
+typedef struct {
+   ecc_point* g;               /* cached COPY of base point */
+   ecc_point* LUT[1U<<FP_LUT]; /* fixed point lookup */ 
+   mp_int     mu;              /* copy of the montgomery constant */
+   int        lru_count;       /* amount of times this entry has been used */
+   int        lock;            /* flag to indicate cache eviction */
+                               /* permitted (0) or not (1) */
+} fp_cache_t;
+
+/* if HAVE_THREAD_LS this cache is per thread, no locking needed */
+static THREAD_LS_T fp_cache_t fp_cache[FP_ENTRIES];
+
+#ifndef HAVE_THREAD_LS
+    static volatile int initMutex = 0;  /* prevent multiple mutex inits */
+    static CyaSSL_Mutex ecc_fp_lock;
+#endif /* HAVE_THREAD_LS */
+
+/* simple table to help direct the generation of the LUT */
+static const struct {
+   int ham, terma, termb;
+} lut_orders[] = {
+   { 0, 0, 0 }, { 1, 0, 0 }, { 1, 0, 0 }, { 2, 1, 2 }, { 1, 0, 0 }, { 2, 1, 4 }, { 2, 2, 4 }, { 3, 3, 4 }, 
+   { 1, 0, 0 }, { 2, 1, 8 }, { 2, 2, 8 }, { 3, 3, 8 }, { 2, 4, 8 }, { 3, 5, 8 }, { 3, 6, 8 }, { 4, 7, 8 }, 
+   { 1, 0, 0 }, { 2, 1, 16 }, { 2, 2, 16 }, { 3, 3, 16 }, { 2, 4, 16 }, { 3, 5, 16 }, { 3, 6, 16 }, { 4, 7, 16 }, 
+   { 2, 8, 16 }, { 3, 9, 16 }, { 3, 10, 16 }, { 4, 11, 16 }, { 3, 12, 16 }, { 4, 13, 16 }, { 4, 14, 16 }, { 5, 15, 16 }, 
+   { 1, 0, 0 }, { 2, 1, 32 }, { 2, 2, 32 }, { 3, 3, 32 }, { 2, 4, 32 }, { 3, 5, 32 }, { 3, 6, 32 }, { 4, 7, 32 }, 
+   { 2, 8, 32 }, { 3, 9, 32 }, { 3, 10, 32 }, { 4, 11, 32 }, { 3, 12, 32 }, { 4, 13, 32 }, { 4, 14, 32 }, { 5, 15, 32 }, 
+   { 2, 16, 32 }, { 3, 17, 32 }, { 3, 18, 32 }, { 4, 19, 32 }, { 3, 20, 32 }, { 4, 21, 32 }, { 4, 22, 32 }, { 5, 23, 32 }, 
+   { 3, 24, 32 }, { 4, 25, 32 }, { 4, 26, 32 }, { 5, 27, 32 }, { 4, 28, 32 }, { 5, 29, 32 }, { 5, 30, 32 }, { 6, 31, 32 }, 
+#if FP_LUT > 6
+   { 1, 0, 0 }, { 2, 1, 64 }, { 2, 2, 64 }, { 3, 3, 64 }, { 2, 4, 64 }, { 3, 5, 64 }, { 3, 6, 64 }, { 4, 7, 64 }, 
+   { 2, 8, 64 }, { 3, 9, 64 }, { 3, 10, 64 }, { 4, 11, 64 }, { 3, 12, 64 }, { 4, 13, 64 }, { 4, 14, 64 }, { 5, 15, 64 }, 
+   { 2, 16, 64 }, { 3, 17, 64 }, { 3, 18, 64 }, { 4, 19, 64 }, { 3, 20, 64 }, { 4, 21, 64 }, { 4, 22, 64 }, { 5, 23, 64 }, 
+   { 3, 24, 64 }, { 4, 25, 64 }, { 4, 26, 64 }, { 5, 27, 64 }, { 4, 28, 64 }, { 5, 29, 64 }, { 5, 30, 64 }, { 6, 31, 64 }, 
+   { 2, 32, 64 }, { 3, 33, 64 }, { 3, 34, 64 }, { 4, 35, 64 }, { 3, 36, 64 }, { 4, 37, 64 }, { 4, 38, 64 }, { 5, 39, 64 }, 
+   { 3, 40, 64 }, { 4, 41, 64 }, { 4, 42, 64 }, { 5, 43, 64 }, { 4, 44, 64 }, { 5, 45, 64 }, { 5, 46, 64 }, { 6, 47, 64 }, 
+   { 3, 48, 64 }, { 4, 49, 64 }, { 4, 50, 64 }, { 5, 51, 64 }, { 4, 52, 64 }, { 5, 53, 64 }, { 5, 54, 64 }, { 6, 55, 64 }, 
+   { 4, 56, 64 }, { 5, 57, 64 }, { 5, 58, 64 }, { 6, 59, 64 }, { 5, 60, 64 }, { 6, 61, 64 }, { 6, 62, 64 }, { 7, 63, 64 }, 
+#if FP_LUT > 7
+   { 1, 0, 0 }, { 2, 1, 128 }, { 2, 2, 128 }, { 3, 3, 128 }, { 2, 4, 128 }, { 3, 5, 128 }, { 3, 6, 128 }, { 4, 7, 128 }, 
+   { 2, 8, 128 }, { 3, 9, 128 }, { 3, 10, 128 }, { 4, 11, 128 }, { 3, 12, 128 }, { 4, 13, 128 }, { 4, 14, 128 }, { 5, 15, 128 }, 
+   { 2, 16, 128 }, { 3, 17, 128 }, { 3, 18, 128 }, { 4, 19, 128 }, { 3, 20, 128 }, { 4, 21, 128 }, { 4, 22, 128 }, { 5, 23, 128 }, 
+   { 3, 24, 128 }, { 4, 25, 128 }, { 4, 26, 128 }, { 5, 27, 128 }, { 4, 28, 128 }, { 5, 29, 128 }, { 5, 30, 128 }, { 6, 31, 128 }, 
+   { 2, 32, 128 }, { 3, 33, 128 }, { 3, 34, 128 }, { 4, 35, 128 }, { 3, 36, 128 }, { 4, 37, 128 }, { 4, 38, 128 }, { 5, 39, 128 }, 
+   { 3, 40, 128 }, { 4, 41, 128 }, { 4, 42, 128 }, { 5, 43, 128 }, { 4, 44, 128 }, { 5, 45, 128 }, { 5, 46, 128 }, { 6, 47, 128 }, 
+   { 3, 48, 128 }, { 4, 49, 128 }, { 4, 50, 128 }, { 5, 51, 128 }, { 4, 52, 128 }, { 5, 53, 128 }, { 5, 54, 128 }, { 6, 55, 128 }, 
+   { 4, 56, 128 }, { 5, 57, 128 }, { 5, 58, 128 }, { 6, 59, 128 }, { 5, 60, 128 }, { 6, 61, 128 }, { 6, 62, 128 }, { 7, 63, 128 }, 
+   { 2, 64, 128 }, { 3, 65, 128 }, { 3, 66, 128 }, { 4, 67, 128 }, { 3, 68, 128 }, { 4, 69, 128 }, { 4, 70, 128 }, { 5, 71, 128 }, 
+   { 3, 72, 128 }, { 4, 73, 128 }, { 4, 74, 128 }, { 5, 75, 128 }, { 4, 76, 128 }, { 5, 77, 128 }, { 5, 78, 128 }, { 6, 79, 128 }, 
+   { 3, 80, 128 }, { 4, 81, 128 }, { 4, 82, 128 }, { 5, 83, 128 }, { 4, 84, 128 }, { 5, 85, 128 }, { 5, 86, 128 }, { 6, 87, 128 }, 
+   { 4, 88, 128 }, { 5, 89, 128 }, { 5, 90, 128 }, { 6, 91, 128 }, { 5, 92, 128 }, { 6, 93, 128 }, { 6, 94, 128 }, { 7, 95, 128 }, 
+   { 3, 96, 128 }, { 4, 97, 128 }, { 4, 98, 128 }, { 5, 99, 128 }, { 4, 100, 128 }, { 5, 101, 128 }, { 5, 102, 128 }, { 6, 103, 128 }, 
+   { 4, 104, 128 }, { 5, 105, 128 }, { 5, 106, 128 }, { 6, 107, 128 }, { 5, 108, 128 }, { 6, 109, 128 }, { 6, 110, 128 }, { 7, 111, 128 }, 
+   { 4, 112, 128 }, { 5, 113, 128 }, { 5, 114, 128 }, { 6, 115, 128 }, { 5, 116, 128 }, { 6, 117, 128 }, { 6, 118, 128 }, { 7, 119, 128 }, 
+   { 5, 120, 128 }, { 6, 121, 128 }, { 6, 122, 128 }, { 7, 123, 128 }, { 6, 124, 128 }, { 7, 125, 128 }, { 7, 126, 128 }, { 8, 127, 128 }, 
+#if FP_LUT > 8
+   { 1, 0, 0 }, { 2, 1, 256 }, { 2, 2, 256 }, { 3, 3, 256 }, { 2, 4, 256 }, { 3, 5, 256 }, { 3, 6, 256 }, { 4, 7, 256 }, 
+   { 2, 8, 256 }, { 3, 9, 256 }, { 3, 10, 256 }, { 4, 11, 256 }, { 3, 12, 256 }, { 4, 13, 256 }, { 4, 14, 256 }, { 5, 15, 256 }, 
+   { 2, 16, 256 }, { 3, 17, 256 }, { 3, 18, 256 }, { 4, 19, 256 }, { 3, 20, 256 }, { 4, 21, 256 }, { 4, 22, 256 }, { 5, 23, 256 }, 
+   { 3, 24, 256 }, { 4, 25, 256 }, { 4, 26, 256 }, { 5, 27, 256 }, { 4, 28, 256 }, { 5, 29, 256 }, { 5, 30, 256 }, { 6, 31, 256 }, 
+   { 2, 32, 256 }, { 3, 33, 256 }, { 3, 34, 256 }, { 4, 35, 256 }, { 3, 36, 256 }, { 4, 37, 256 }, { 4, 38, 256 }, { 5, 39, 256 }, 
+   { 3, 40, 256 }, { 4, 41, 256 }, { 4, 42, 256 }, { 5, 43, 256 }, { 4, 44, 256 }, { 5, 45, 256 }, { 5, 46, 256 }, { 6, 47, 256 }, 
+   { 3, 48, 256 }, { 4, 49, 256 }, { 4, 50, 256 }, { 5, 51, 256 }, { 4, 52, 256 }, { 5, 53, 256 }, { 5, 54, 256 }, { 6, 55, 256 }, 
+   { 4, 56, 256 }, { 5, 57, 256 }, { 5, 58, 256 }, { 6, 59, 256 }, { 5, 60, 256 }, { 6, 61, 256 }, { 6, 62, 256 }, { 7, 63, 256 }, 
+   { 2, 64, 256 }, { 3, 65, 256 }, { 3, 66, 256 }, { 4, 67, 256 }, { 3, 68, 256 }, { 4, 69, 256 }, { 4, 70, 256 }, { 5, 71, 256 }, 
+   { 3, 72, 256 }, { 4, 73, 256 }, { 4, 74, 256 }, { 5, 75, 256 }, { 4, 76, 256 }, { 5, 77, 256 }, { 5, 78, 256 }, { 6, 79, 256 }, 
+   { 3, 80, 256 }, { 4, 81, 256 }, { 4, 82, 256 }, { 5, 83, 256 }, { 4, 84, 256 }, { 5, 85, 256 }, { 5, 86, 256 }, { 6, 87, 256 }, 
+   { 4, 88, 256 }, { 5, 89, 256 }, { 5, 90, 256 }, { 6, 91, 256 }, { 5, 92, 256 }, { 6, 93, 256 }, { 6, 94, 256 }, { 7, 95, 256 }, 
+   { 3, 96, 256 }, { 4, 97, 256 }, { 4, 98, 256 }, { 5, 99, 256 }, { 4, 100, 256 }, { 5, 101, 256 }, { 5, 102, 256 }, { 6, 103, 256 }, 
+   { 4, 104, 256 }, { 5, 105, 256 }, { 5, 106, 256 }, { 6, 107, 256 }, { 5, 108, 256 }, { 6, 109, 256 }, { 6, 110, 256 }, { 7, 111, 256 }, 
+   { 4, 112, 256 }, { 5, 113, 256 }, { 5, 114, 256 }, { 6, 115, 256 }, { 5, 116, 256 }, { 6, 117, 256 }, { 6, 118, 256 }, { 7, 119, 256 }, 
+   { 5, 120, 256 }, { 6, 121, 256 }, { 6, 122, 256 }, { 7, 123, 256 }, { 6, 124, 256 }, { 7, 125, 256 }, { 7, 126, 256 }, { 8, 127, 256 }, 
+   { 2, 128, 256 }, { 3, 129, 256 }, { 3, 130, 256 }, { 4, 131, 256 }, { 3, 132, 256 }, { 4, 133, 256 }, { 4, 134, 256 }, { 5, 135, 256 }, 
+   { 3, 136, 256 }, { 4, 137, 256 }, { 4, 138, 256 }, { 5, 139, 256 }, { 4, 140, 256 }, { 5, 141, 256 }, { 5, 142, 256 }, { 6, 143, 256 }, 
+   { 3, 144, 256 }, { 4, 145, 256 }, { 4, 146, 256 }, { 5, 147, 256 }, { 4, 148, 256 }, { 5, 149, 256 }, { 5, 150, 256 }, { 6, 151, 256 }, 
+   { 4, 152, 256 }, { 5, 153, 256 }, { 5, 154, 256 }, { 6, 155, 256 }, { 5, 156, 256 }, { 6, 157, 256 }, { 6, 158, 256 }, { 7, 159, 256 }, 
+   { 3, 160, 256 }, { 4, 161, 256 }, { 4, 162, 256 }, { 5, 163, 256 }, { 4, 164, 256 }, { 5, 165, 256 }, { 5, 166, 256 }, { 6, 167, 256 }, 
+   { 4, 168, 256 }, { 5, 169, 256 }, { 5, 170, 256 }, { 6, 171, 256 }, { 5, 172, 256 }, { 6, 173, 256 }, { 6, 174, 256 }, { 7, 175, 256 }, 
+   { 4, 176, 256 }, { 5, 177, 256 }, { 5, 178, 256 }, { 6, 179, 256 }, { 5, 180, 256 }, { 6, 181, 256 }, { 6, 182, 256 }, { 7, 183, 256 }, 
+   { 5, 184, 256 }, { 6, 185, 256 }, { 6, 186, 256 }, { 7, 187, 256 }, { 6, 188, 256 }, { 7, 189, 256 }, { 7, 190, 256 }, { 8, 191, 256 }, 
+   { 3, 192, 256 }, { 4, 193, 256 }, { 4, 194, 256 }, { 5, 195, 256 }, { 4, 196, 256 }, { 5, 197, 256 }, { 5, 198, 256 }, { 6, 199, 256 }, 
+   { 4, 200, 256 }, { 5, 201, 256 }, { 5, 202, 256 }, { 6, 203, 256 }, { 5, 204, 256 }, { 6, 205, 256 }, { 6, 206, 256 }, { 7, 207, 256 }, 
+   { 4, 208, 256 }, { 5, 209, 256 }, { 5, 210, 256 }, { 6, 211, 256 }, { 5, 212, 256 }, { 6, 213, 256 }, { 6, 214, 256 }, { 7, 215, 256 }, 
+   { 5, 216, 256 }, { 6, 217, 256 }, { 6, 218, 256 }, { 7, 219, 256 }, { 6, 220, 256 }, { 7, 221, 256 }, { 7, 222, 256 }, { 8, 223, 256 }, 
+   { 4, 224, 256 }, { 5, 225, 256 }, { 5, 226, 256 }, { 6, 227, 256 }, { 5, 228, 256 }, { 6, 229, 256 }, { 6, 230, 256 }, { 7, 231, 256 }, 
+   { 5, 232, 256 }, { 6, 233, 256 }, { 6, 234, 256 }, { 7, 235, 256 }, { 6, 236, 256 }, { 7, 237, 256 }, { 7, 238, 256 }, { 8, 239, 256 }, 
+   { 5, 240, 256 }, { 6, 241, 256 }, { 6, 242, 256 }, { 7, 243, 256 }, { 6, 244, 256 }, { 7, 245, 256 }, { 7, 246, 256 }, { 8, 247, 256 }, 
+   { 6, 248, 256 }, { 7, 249, 256 }, { 7, 250, 256 }, { 8, 251, 256 }, { 7, 252, 256 }, { 8, 253, 256 }, { 8, 254, 256 }, { 9, 255, 256 }, 
+#if FP_LUT > 9
+   { 1, 0, 0 }, { 2, 1, 512 }, { 2, 2, 512 }, { 3, 3, 512 }, { 2, 4, 512 }, { 3, 5, 512 }, { 3, 6, 512 }, { 4, 7, 512 }, 
+   { 2, 8, 512 }, { 3, 9, 512 }, { 3, 10, 512 }, { 4, 11, 512 }, { 3, 12, 512 }, { 4, 13, 512 }, { 4, 14, 512 }, { 5, 15, 512 }, 
+   { 2, 16, 512 }, { 3, 17, 512 }, { 3, 18, 512 }, { 4, 19, 512 }, { 3, 20, 512 }, { 4, 21, 512 }, { 4, 22, 512 }, { 5, 23, 512 }, 
+   { 3, 24, 512 }, { 4, 25, 512 }, { 4, 26, 512 }, { 5, 27, 512 }, { 4, 28, 512 }, { 5, 29, 512 }, { 5, 30, 512 }, { 6, 31, 512 }, 
+   { 2, 32, 512 }, { 3, 33, 512 }, { 3, 34, 512 }, { 4, 35, 512 }, { 3, 36, 512 }, { 4, 37, 512 }, { 4, 38, 512 }, { 5, 39, 512 }, 
+   { 3, 40, 512 }, { 4, 41, 512 }, { 4, 42, 512 }, { 5, 43, 512 }, { 4, 44, 512 }, { 5, 45, 512 }, { 5, 46, 512 }, { 6, 47, 512 }, 
+   { 3, 48, 512 }, { 4, 49, 512 }, { 4, 50, 512 }, { 5, 51, 512 }, { 4, 52, 512 }, { 5, 53, 512 }, { 5, 54, 512 }, { 6, 55, 512 }, 
+   { 4, 56, 512 }, { 5, 57, 512 }, { 5, 58, 512 }, { 6, 59, 512 }, { 5, 60, 512 }, { 6, 61, 512 }, { 6, 62, 512 }, { 7, 63, 512 }, 
+   { 2, 64, 512 }, { 3, 65, 512 }, { 3, 66, 512 }, { 4, 67, 512 }, { 3, 68, 512 }, { 4, 69, 512 }, { 4, 70, 512 }, { 5, 71, 512 }, 
+   { 3, 72, 512 }, { 4, 73, 512 }, { 4, 74, 512 }, { 5, 75, 512 }, { 4, 76, 512 }, { 5, 77, 512 }, { 5, 78, 512 }, { 6, 79, 512 }, 
+   { 3, 80, 512 }, { 4, 81, 512 }, { 4, 82, 512 }, { 5, 83, 512 }, { 4, 84, 512 }, { 5, 85, 512 }, { 5, 86, 512 }, { 6, 87, 512 }, 
+   { 4, 88, 512 }, { 5, 89, 512 }, { 5, 90, 512 }, { 6, 91, 512 }, { 5, 92, 512 }, { 6, 93, 512 }, { 6, 94, 512 }, { 7, 95, 512 }, 
+   { 3, 96, 512 }, { 4, 97, 512 }, { 4, 98, 512 }, { 5, 99, 512 }, { 4, 100, 512 }, { 5, 101, 512 }, { 5, 102, 512 }, { 6, 103, 512 }, 
+   { 4, 104, 512 }, { 5, 105, 512 }, { 5, 106, 512 }, { 6, 107, 512 }, { 5, 108, 512 }, { 6, 109, 512 }, { 6, 110, 512 }, { 7, 111, 512 }, 
+   { 4, 112, 512 }, { 5, 113, 512 }, { 5, 114, 512 }, { 6, 115, 512 }, { 5, 116, 512 }, { 6, 117, 512 }, { 6, 118, 512 }, { 7, 119, 512 }, 
+   { 5, 120, 512 }, { 6, 121, 512 }, { 6, 122, 512 }, { 7, 123, 512 }, { 6, 124, 512 }, { 7, 125, 512 }, { 7, 126, 512 }, { 8, 127, 512 }, 
+   { 2, 128, 512 }, { 3, 129, 512 }, { 3, 130, 512 }, { 4, 131, 512 }, { 3, 132, 512 }, { 4, 133, 512 }, { 4, 134, 512 }, { 5, 135, 512 }, 
+   { 3, 136, 512 }, { 4, 137, 512 }, { 4, 138, 512 }, { 5, 139, 512 }, { 4, 140, 512 }, { 5, 141, 512 }, { 5, 142, 512 }, { 6, 143, 512 }, 
+   { 3, 144, 512 }, { 4, 145, 512 }, { 4, 146, 512 }, { 5, 147, 512 }, { 4, 148, 512 }, { 5, 149, 512 }, { 5, 150, 512 }, { 6, 151, 512 }, 
+   { 4, 152, 512 }, { 5, 153, 512 }, { 5, 154, 512 }, { 6, 155, 512 }, { 5, 156, 512 }, { 6, 157, 512 }, { 6, 158, 512 }, { 7, 159, 512 }, 
+   { 3, 160, 512 }, { 4, 161, 512 }, { 4, 162, 512 }, { 5, 163, 512 }, { 4, 164, 512 }, { 5, 165, 512 }, { 5, 166, 512 }, { 6, 167, 512 }, 
+   { 4, 168, 512 }, { 5, 169, 512 }, { 5, 170, 512 }, { 6, 171, 512 }, { 5, 172, 512 }, { 6, 173, 512 }, { 6, 174, 512 }, { 7, 175, 512 }, 
+   { 4, 176, 512 }, { 5, 177, 512 }, { 5, 178, 512 }, { 6, 179, 512 }, { 5, 180, 512 }, { 6, 181, 512 }, { 6, 182, 512 }, { 7, 183, 512 }, 
+   { 5, 184, 512 }, { 6, 185, 512 }, { 6, 186, 512 }, { 7, 187, 512 }, { 6, 188, 512 }, { 7, 189, 512 }, { 7, 190, 512 }, { 8, 191, 512 }, 
+   { 3, 192, 512 }, { 4, 193, 512 }, { 4, 194, 512 }, { 5, 195, 512 }, { 4, 196, 512 }, { 5, 197, 512 }, { 5, 198, 512 }, { 6, 199, 512 }, 
+   { 4, 200, 512 }, { 5, 201, 512 }, { 5, 202, 512 }, { 6, 203, 512 }, { 5, 204, 512 }, { 6, 205, 512 }, { 6, 206, 512 }, { 7, 207, 512 }, 
+   { 4, 208, 512 }, { 5, 209, 512 }, { 5, 210, 512 }, { 6, 211, 512 }, { 5, 212, 512 }, { 6, 213, 512 }, { 6, 214, 512 }, { 7, 215, 512 }, 
+   { 5, 216, 512 }, { 6, 217, 512 }, { 6, 218, 512 }, { 7, 219, 512 }, { 6, 220, 512 }, { 7, 221, 512 }, { 7, 222, 512 }, { 8, 223, 512 }, 
+   { 4, 224, 512 }, { 5, 225, 512 }, { 5, 226, 512 }, { 6, 227, 512 }, { 5, 228, 512 }, { 6, 229, 512 }, { 6, 230, 512 }, { 7, 231, 512 }, 
+   { 5, 232, 512 }, { 6, 233, 512 }, { 6, 234, 512 }, { 7, 235, 512 }, { 6, 236, 512 }, { 7, 237, 512 }, { 7, 238, 512 }, { 8, 239, 512 }, 
+   { 5, 240, 512 }, { 6, 241, 512 }, { 6, 242, 512 }, { 7, 243, 512 }, { 6, 244, 512 }, { 7, 245, 512 }, { 7, 246, 512 }, { 8, 247, 512 }, 
+   { 6, 248, 512 }, { 7, 249, 512 }, { 7, 250, 512 }, { 8, 251, 512 }, { 7, 252, 512 }, { 8, 253, 512 }, { 8, 254, 512 }, { 9, 255, 512 }, 
+   { 2, 256, 512 }, { 3, 257, 512 }, { 3, 258, 512 }, { 4, 259, 512 }, { 3, 260, 512 }, { 4, 261, 512 }, { 4, 262, 512 }, { 5, 263, 512 }, 
+   { 3, 264, 512 }, { 4, 265, 512 }, { 4, 266, 512 }, { 5, 267, 512 }, { 4, 268, 512 }, { 5, 269, 512 }, { 5, 270, 512 }, { 6, 271, 512 }, 
+   { 3, 272, 512 }, { 4, 273, 512 }, { 4, 274, 512 }, { 5, 275, 512 }, { 4, 276, 512 }, { 5, 277, 512 }, { 5, 278, 512 }, { 6, 279, 512 }, 
+   { 4, 280, 512 }, { 5, 281, 512 }, { 5, 282, 512 }, { 6, 283, 512 }, { 5, 284, 512 }, { 6, 285, 512 }, { 6, 286, 512 }, { 7, 287, 512 }, 
+   { 3, 288, 512 }, { 4, 289, 512 }, { 4, 290, 512 }, { 5, 291, 512 }, { 4, 292, 512 }, { 5, 293, 512 }, { 5, 294, 512 }, { 6, 295, 512 }, 
+   { 4, 296, 512 }, { 5, 297, 512 }, { 5, 298, 512 }, { 6, 299, 512 }, { 5, 300, 512 }, { 6, 301, 512 }, { 6, 302, 512 }, { 7, 303, 512 }, 
+   { 4, 304, 512 }, { 5, 305, 512 }, { 5, 306, 512 }, { 6, 307, 512 }, { 5, 308, 512 }, { 6, 309, 512 }, { 6, 310, 512 }, { 7, 311, 512 }, 
+   { 5, 312, 512 }, { 6, 313, 512 }, { 6, 314, 512 }, { 7, 315, 512 }, { 6, 316, 512 }, { 7, 317, 512 }, { 7, 318, 512 }, { 8, 319, 512 }, 
+   { 3, 320, 512 }, { 4, 321, 512 }, { 4, 322, 512 }, { 5, 323, 512 }, { 4, 324, 512 }, { 5, 325, 512 }, { 5, 326, 512 }, { 6, 327, 512 }, 
+   { 4, 328, 512 }, { 5, 329, 512 }, { 5, 330, 512 }, { 6, 331, 512 }, { 5, 332, 512 }, { 6, 333, 512 }, { 6, 334, 512 }, { 7, 335, 512 }, 
+   { 4, 336, 512 }, { 5, 337, 512 }, { 5, 338, 512 }, { 6, 339, 512 }, { 5, 340, 512 }, { 6, 341, 512 }, { 6, 342, 512 }, { 7, 343, 512 }, 
+   { 5, 344, 512 }, { 6, 345, 512 }, { 6, 346, 512 }, { 7, 347, 512 }, { 6, 348, 512 }, { 7, 349, 512 }, { 7, 350, 512 }, { 8, 351, 512 }, 
+   { 4, 352, 512 }, { 5, 353, 512 }, { 5, 354, 512 }, { 6, 355, 512 }, { 5, 356, 512 }, { 6, 357, 512 }, { 6, 358, 512 }, { 7, 359, 512 }, 
+   { 5, 360, 512 }, { 6, 361, 512 }, { 6, 362, 512 }, { 7, 363, 512 }, { 6, 364, 512 }, { 7, 365, 512 }, { 7, 366, 512 }, { 8, 367, 512 }, 
+   { 5, 368, 512 }, { 6, 369, 512 }, { 6, 370, 512 }, { 7, 371, 512 }, { 6, 372, 512 }, { 7, 373, 512 }, { 7, 374, 512 }, { 8, 375, 512 }, 
+   { 6, 376, 512 }, { 7, 377, 512 }, { 7, 378, 512 }, { 8, 379, 512 }, { 7, 380, 512 }, { 8, 381, 512 }, { 8, 382, 512 }, { 9, 383, 512 }, 
+   { 3, 384, 512 }, { 4, 385, 512 }, { 4, 386, 512 }, { 5, 387, 512 }, { 4, 388, 512 }, { 5, 389, 512 }, { 5, 390, 512 }, { 6, 391, 512 }, 
+   { 4, 392, 512 }, { 5, 393, 512 }, { 5, 394, 512 }, { 6, 395, 512 }, { 5, 396, 512 }, { 6, 397, 512 }, { 6, 398, 512 }, { 7, 399, 512 }, 
+   { 4, 400, 512 }, { 5, 401, 512 }, { 5, 402, 512 }, { 6, 403, 512 }, { 5, 404, 512 }, { 6, 405, 512 }, { 6, 406, 512 }, { 7, 407, 512 }, 
+   { 5, 408, 512 }, { 6, 409, 512 }, { 6, 410, 512 }, { 7, 411, 512 }, { 6, 412, 512 }, { 7, 413, 512 }, { 7, 414, 512 }, { 8, 415, 512 }, 
+   { 4, 416, 512 }, { 5, 417, 512 }, { 5, 418, 512 }, { 6, 419, 512 }, { 5, 420, 512 }, { 6, 421, 512 }, { 6, 422, 512 }, { 7, 423, 512 }, 
+   { 5, 424, 512 }, { 6, 425, 512 }, { 6, 426, 512 }, { 7, 427, 512 }, { 6, 428, 512 }, { 7, 429, 512 }, { 7, 430, 512 }, { 8, 431, 512 }, 
+   { 5, 432, 512 }, { 6, 433, 512 }, { 6, 434, 512 }, { 7, 435, 512 }, { 6, 436, 512 }, { 7, 437, 512 }, { 7, 438, 512 }, { 8, 439, 512 }, 
+   { 6, 440, 512 }, { 7, 441, 512 }, { 7, 442, 512 }, { 8, 443, 512 }, { 7, 444, 512 }, { 8, 445, 512 }, { 8, 446, 512 }, { 9, 447, 512 }, 
+   { 4, 448, 512 }, { 5, 449, 512 }, { 5, 450, 512 }, { 6, 451, 512 }, { 5, 452, 512 }, { 6, 453, 512 }, { 6, 454, 512 }, { 7, 455, 512 }, 
+   { 5, 456, 512 }, { 6, 457, 512 }, { 6, 458, 512 }, { 7, 459, 512 }, { 6, 460, 512 }, { 7, 461, 512 }, { 7, 462, 512 }, { 8, 463, 512 }, 
+   { 5, 464, 512 }, { 6, 465, 512 }, { 6, 466, 512 }, { 7, 467, 512 }, { 6, 468, 512 }, { 7, 469, 512 }, { 7, 470, 512 }, { 8, 471, 512 }, 
+   { 6, 472, 512 }, { 7, 473, 512 }, { 7, 474, 512 }, { 8, 475, 512 }, { 7, 476, 512 }, { 8, 477, 512 }, { 8, 478, 512 }, { 9, 479, 512 }, 
+   { 5, 480, 512 }, { 6, 481, 512 }, { 6, 482, 512 }, { 7, 483, 512 }, { 6, 484, 512 }, { 7, 485, 512 }, { 7, 486, 512 }, { 8, 487, 512 }, 
+   { 6, 488, 512 }, { 7, 489, 512 }, { 7, 490, 512 }, { 8, 491, 512 }, { 7, 492, 512 }, { 8, 493, 512 }, { 8, 494, 512 }, { 9, 495, 512 }, 
+   { 6, 496, 512 }, { 7, 497, 512 }, { 7, 498, 512 }, { 8, 499, 512 }, { 7, 500, 512 }, { 8, 501, 512 }, { 8, 502, 512 }, { 9, 503, 512 }, 
+   { 7, 504, 512 }, { 8, 505, 512 }, { 8, 506, 512 }, { 9, 507, 512 }, { 8, 508, 512 }, { 9, 509, 512 }, { 9, 510, 512 }, { 10, 511, 512 }, 
+#if FP_LUT > 10
+   { 1, 0, 0 }, { 2, 1, 1024 }, { 2, 2, 1024 }, { 3, 3, 1024 }, { 2, 4, 1024 }, { 3, 5, 1024 }, { 3, 6, 1024 }, { 4, 7, 1024 }, 
+   { 2, 8, 1024 }, { 3, 9, 1024 }, { 3, 10, 1024 }, { 4, 11, 1024 }, { 3, 12, 1024 }, { 4, 13, 1024 }, { 4, 14, 1024 }, { 5, 15, 1024 }, 
+   { 2, 16, 1024 }, { 3, 17, 1024 }, { 3, 18, 1024 }, { 4, 19, 1024 }, { 3, 20, 1024 }, { 4, 21, 1024 }, { 4, 22, 1024 }, { 5, 23, 1024 }, 
+   { 3, 24, 1024 }, { 4, 25, 1024 }, { 4, 26, 1024 }, { 5, 27, 1024 }, { 4, 28, 1024 }, { 5, 29, 1024 }, { 5, 30, 1024 }, { 6, 31, 1024 }, 
+   { 2, 32, 1024 }, { 3, 33, 1024 }, { 3, 34, 1024 }, { 4, 35, 1024 }, { 3, 36, 1024 }, { 4, 37, 1024 }, { 4, 38, 1024 }, { 5, 39, 1024 }, 
+   { 3, 40, 1024 }, { 4, 41, 1024 }, { 4, 42, 1024 }, { 5, 43, 1024 }, { 4, 44, 1024 }, { 5, 45, 1024 }, { 5, 46, 1024 }, { 6, 47, 1024 }, 
+   { 3, 48, 1024 }, { 4, 49, 1024 }, { 4, 50, 1024 }, { 5, 51, 1024 }, { 4, 52, 1024 }, { 5, 53, 1024 }, { 5, 54, 1024 }, { 6, 55, 1024 }, 
+   { 4, 56, 1024 }, { 5, 57, 1024 }, { 5, 58, 1024 }, { 6, 59, 1024 }, { 5, 60, 1024 }, { 6, 61, 1024 }, { 6, 62, 1024 }, { 7, 63, 1024 }, 
+   { 2, 64, 1024 }, { 3, 65, 1024 }, { 3, 66, 1024 }, { 4, 67, 1024 }, { 3, 68, 1024 }, { 4, 69, 1024 }, { 4, 70, 1024 }, { 5, 71, 1024 }, 
+   { 3, 72, 1024 }, { 4, 73, 1024 }, { 4, 74, 1024 }, { 5, 75, 1024 }, { 4, 76, 1024 }, { 5, 77, 1024 }, { 5, 78, 1024 }, { 6, 79, 1024 }, 
+   { 3, 80, 1024 }, { 4, 81, 1024 }, { 4, 82, 1024 }, { 5, 83, 1024 }, { 4, 84, 1024 }, { 5, 85, 1024 }, { 5, 86, 1024 }, { 6, 87, 1024 }, 
+   { 4, 88, 1024 }, { 5, 89, 1024 }, { 5, 90, 1024 }, { 6, 91, 1024 }, { 5, 92, 1024 }, { 6, 93, 1024 }, { 6, 94, 1024 }, { 7, 95, 1024 }, 
+   { 3, 96, 1024 }, { 4, 97, 1024 }, { 4, 98, 1024 }, { 5, 99, 1024 }, { 4, 100, 1024 }, { 5, 101, 1024 }, { 5, 102, 1024 }, { 6, 103, 1024 }, 
+   { 4, 104, 1024 }, { 5, 105, 1024 }, { 5, 106, 1024 }, { 6, 107, 1024 }, { 5, 108, 1024 }, { 6, 109, 1024 }, { 6, 110, 1024 }, { 7, 111, 1024 }, 
+   { 4, 112, 1024 }, { 5, 113, 1024 }, { 5, 114, 1024 }, { 6, 115, 1024 }, { 5, 116, 1024 }, { 6, 117, 1024 }, { 6, 118, 1024 }, { 7, 119, 1024 }, 
+   { 5, 120, 1024 }, { 6, 121, 1024 }, { 6, 122, 1024 }, { 7, 123, 1024 }, { 6, 124, 1024 }, { 7, 125, 1024 }, { 7, 126, 1024 }, { 8, 127, 1024 }, 
+   { 2, 128, 1024 }, { 3, 129, 1024 }, { 3, 130, 1024 }, { 4, 131, 1024 }, { 3, 132, 1024 }, { 4, 133, 1024 }, { 4, 134, 1024 }, { 5, 135, 1024 }, 
+   { 3, 136, 1024 }, { 4, 137, 1024 }, { 4, 138, 1024 }, { 5, 139, 1024 }, { 4, 140, 1024 }, { 5, 141, 1024 }, { 5, 142, 1024 }, { 6, 143, 1024 }, 
+   { 3, 144, 1024 }, { 4, 145, 1024 }, { 4, 146, 1024 }, { 5, 147, 1024 }, { 4, 148, 1024 }, { 5, 149, 1024 }, { 5, 150, 1024 }, { 6, 151, 1024 }, 
+   { 4, 152, 1024 }, { 5, 153, 1024 }, { 5, 154, 1024 }, { 6, 155, 1024 }, { 5, 156, 1024 }, { 6, 157, 1024 }, { 6, 158, 1024 }, { 7, 159, 1024 }, 
+   { 3, 160, 1024 }, { 4, 161, 1024 }, { 4, 162, 1024 }, { 5, 163, 1024 }, { 4, 164, 1024 }, { 5, 165, 1024 }, { 5, 166, 1024 }, { 6, 167, 1024 }, 
+   { 4, 168, 1024 }, { 5, 169, 1024 }, { 5, 170, 1024 }, { 6, 171, 1024 }, { 5, 172, 1024 }, { 6, 173, 1024 }, { 6, 174, 1024 }, { 7, 175, 1024 }, 
+   { 4, 176, 1024 }, { 5, 177, 1024 }, { 5, 178, 1024 }, { 6, 179, 1024 }, { 5, 180, 1024 }, { 6, 181, 1024 }, { 6, 182, 1024 }, { 7, 183, 1024 }, 
+   { 5, 184, 1024 }, { 6, 185, 1024 }, { 6, 186, 1024 }, { 7, 187, 1024 }, { 6, 188, 1024 }, { 7, 189, 1024 }, { 7, 190, 1024 }, { 8, 191, 1024 }, 
+   { 3, 192, 1024 }, { 4, 193, 1024 }, { 4, 194, 1024 }, { 5, 195, 1024 }, { 4, 196, 1024 }, { 5, 197, 1024 }, { 5, 198, 1024 }, { 6, 199, 1024 }, 
+   { 4, 200, 1024 }, { 5, 201, 1024 }, { 5, 202, 1024 }, { 6, 203, 1024 }, { 5, 204, 1024 }, { 6, 205, 1024 }, { 6, 206, 1024 }, { 7, 207, 1024 }, 
+   { 4, 208, 1024 }, { 5, 209, 1024 }, { 5, 210, 1024 }, { 6, 211, 1024 }, { 5, 212, 1024 }, { 6, 213, 1024 }, { 6, 214, 1024 }, { 7, 215, 1024 }, 
+   { 5, 216, 1024 }, { 6, 217, 1024 }, { 6, 218, 1024 }, { 7, 219, 1024 }, { 6, 220, 1024 }, { 7, 221, 1024 }, { 7, 222, 1024 }, { 8, 223, 1024 }, 
+   { 4, 224, 1024 }, { 5, 225, 1024 }, { 5, 226, 1024 }, { 6, 227, 1024 }, { 5, 228, 1024 }, { 6, 229, 1024 }, { 6, 230, 1024 }, { 7, 231, 1024 }, 
+   { 5, 232, 1024 }, { 6, 233, 1024 }, { 6, 234, 1024 }, { 7, 235, 1024 }, { 6, 236, 1024 }, { 7, 237, 1024 }, { 7, 238, 1024 }, { 8, 239, 1024 }, 
+   { 5, 240, 1024 }, { 6, 241, 1024 }, { 6, 242, 1024 }, { 7, 243, 1024 }, { 6, 244, 1024 }, { 7, 245, 1024 }, { 7, 246, 1024 }, { 8, 247, 1024 }, 
+   { 6, 248, 1024 }, { 7, 249, 1024 }, { 7, 250, 1024 }, { 8, 251, 1024 }, { 7, 252, 1024 }, { 8, 253, 1024 }, { 8, 254, 1024 }, { 9, 255, 1024 }, 
+   { 2, 256, 1024 }, { 3, 257, 1024 }, { 3, 258, 1024 }, { 4, 259, 1024 }, { 3, 260, 1024 }, { 4, 261, 1024 }, { 4, 262, 1024 }, { 5, 263, 1024 }, 
+   { 3, 264, 1024 }, { 4, 265, 1024 }, { 4, 266, 1024 }, { 5, 267, 1024 }, { 4, 268, 1024 }, { 5, 269, 1024 }, { 5, 270, 1024 }, { 6, 271, 1024 }, 
+   { 3, 272, 1024 }, { 4, 273, 1024 }, { 4, 274, 1024 }, { 5, 275, 1024 }, { 4, 276, 1024 }, { 5, 277, 1024 }, { 5, 278, 1024 }, { 6, 279, 1024 }, 
+   { 4, 280, 1024 }, { 5, 281, 1024 }, { 5, 282, 1024 }, { 6, 283, 1024 }, { 5, 284, 1024 }, { 6, 285, 1024 }, { 6, 286, 1024 }, { 7, 287, 1024 }, 
+   { 3, 288, 1024 }, { 4, 289, 1024 }, { 4, 290, 1024 }, { 5, 291, 1024 }, { 4, 292, 1024 }, { 5, 293, 1024 }, { 5, 294, 1024 }, { 6, 295, 1024 }, 
+   { 4, 296, 1024 }, { 5, 297, 1024 }, { 5, 298, 1024 }, { 6, 299, 1024 }, { 5, 300, 1024 }, { 6, 301, 1024 }, { 6, 302, 1024 }, { 7, 303, 1024 }, 
+   { 4, 304, 1024 }, { 5, 305, 1024 }, { 5, 306, 1024 }, { 6, 307, 1024 }, { 5, 308, 1024 }, { 6, 309, 1024 }, { 6, 310, 1024 }, { 7, 311, 1024 }, 
+   { 5, 312, 1024 }, { 6, 313, 1024 }, { 6, 314, 1024 }, { 7, 315, 1024 }, { 6, 316, 1024 }, { 7, 317, 1024 }, { 7, 318, 1024 }, { 8, 319, 1024 }, 
+   { 3, 320, 1024 }, { 4, 321, 1024 }, { 4, 322, 1024 }, { 5, 323, 1024 }, { 4, 324, 1024 }, { 5, 325, 1024 }, { 5, 326, 1024 }, { 6, 327, 1024 }, 
+   { 4, 328, 1024 }, { 5, 329, 1024 }, { 5, 330, 1024 }, { 6, 331, 1024 }, { 5, 332, 1024 }, { 6, 333, 1024 }, { 6, 334, 1024 }, { 7, 335, 1024 }, 
+   { 4, 336, 1024 }, { 5, 337, 1024 }, { 5, 338, 1024 }, { 6, 339, 1024 }, { 5, 340, 1024 }, { 6, 341, 1024 }, { 6, 342, 1024 }, { 7, 343, 1024 }, 
+   { 5, 344, 1024 }, { 6, 345, 1024 }, { 6, 346, 1024 }, { 7, 347, 1024 }, { 6, 348, 1024 }, { 7, 349, 1024 }, { 7, 350, 1024 }, { 8, 351, 1024 }, 
+   { 4, 352, 1024 }, { 5, 353, 1024 }, { 5, 354, 1024 }, { 6, 355, 1024 }, { 5, 356, 1024 }, { 6, 357, 1024 }, { 6, 358, 1024 }, { 7, 359, 1024 }, 
+   { 5, 360, 1024 }, { 6, 361, 1024 }, { 6, 362, 1024 }, { 7, 363, 1024 }, { 6, 364, 1024 }, { 7, 365, 1024 }, { 7, 366, 1024 }, { 8, 367, 1024 }, 
+   { 5, 368, 1024 }, { 6, 369, 1024 }, { 6, 370, 1024 }, { 7, 371, 1024 }, { 6, 372, 1024 }, { 7, 373, 1024 }, { 7, 374, 1024 }, { 8, 375, 1024 }, 
+   { 6, 376, 1024 }, { 7, 377, 1024 }, { 7, 378, 1024 }, { 8, 379, 1024 }, { 7, 380, 1024 }, { 8, 381, 1024 }, { 8, 382, 1024 }, { 9, 383, 1024 }, 
+   { 3, 384, 1024 }, { 4, 385, 1024 }, { 4, 386, 1024 }, { 5, 387, 1024 }, { 4, 388, 1024 }, { 5, 389, 1024 }, { 5, 390, 1024 }, { 6, 391, 1024 }, 
+   { 4, 392, 1024 }, { 5, 393, 1024 }, { 5, 394, 1024 }, { 6, 395, 1024 }, { 5, 396, 1024 }, { 6, 397, 1024 }, { 6, 398, 1024 }, { 7, 399, 1024 }, 
+   { 4, 400, 1024 }, { 5, 401, 1024 }, { 5, 402, 1024 }, { 6, 403, 1024 }, { 5, 404, 1024 }, { 6, 405, 1024 }, { 6, 406, 1024 }, { 7, 407, 1024 }, 
+   { 5, 408, 1024 }, { 6, 409, 1024 }, { 6, 410, 1024 }, { 7, 411, 1024 }, { 6, 412, 1024 }, { 7, 413, 1024 }, { 7, 414, 1024 }, { 8, 415, 1024 }, 
+   { 4, 416, 1024 }, { 5, 417, 1024 }, { 5, 418, 1024 }, { 6, 419, 1024 }, { 5, 420, 1024 }, { 6, 421, 1024 }, { 6, 422, 1024 }, { 7, 423, 1024 }, 
+   { 5, 424, 1024 }, { 6, 425, 1024 }, { 6, 426, 1024 }, { 7, 427, 1024 }, { 6, 428, 1024 }, { 7, 429, 1024 }, { 7, 430, 1024 }, { 8, 431, 1024 }, 
+   { 5, 432, 1024 }, { 6, 433, 1024 }, { 6, 434, 1024 }, { 7, 435, 1024 }, { 6, 436, 1024 }, { 7, 437, 1024 }, { 7, 438, 1024 }, { 8, 439, 1024 }, 
+   { 6, 440, 1024 }, { 7, 441, 1024 }, { 7, 442, 1024 }, { 8, 443, 1024 }, { 7, 444, 1024 }, { 8, 445, 1024 }, { 8, 446, 1024 }, { 9, 447, 1024 }, 
+   { 4, 448, 1024 }, { 5, 449, 1024 }, { 5, 450, 1024 }, { 6, 451, 1024 }, { 5, 452, 1024 }, { 6, 453, 1024 }, { 6, 454, 1024 }, { 7, 455, 1024 }, 
+   { 5, 456, 1024 }, { 6, 457, 1024 }, { 6, 458, 1024 }, { 7, 459, 1024 }, { 6, 460, 1024 }, { 7, 461, 1024 }, { 7, 462, 1024 }, { 8, 463, 1024 }, 
+   { 5, 464, 1024 }, { 6, 465, 1024 }, { 6, 466, 1024 }, { 7, 467, 1024 }, { 6, 468, 1024 }, { 7, 469, 1024 }, { 7, 470, 1024 }, { 8, 471, 1024 }, 
+   { 6, 472, 1024 }, { 7, 473, 1024 }, { 7, 474, 1024 }, { 8, 475, 1024 }, { 7, 476, 1024 }, { 8, 477, 1024 }, { 8, 478, 1024 }, { 9, 479, 1024 }, 
+   { 5, 480, 1024 }, { 6, 481, 1024 }, { 6, 482, 1024 }, { 7, 483, 1024 }, { 6, 484, 1024 }, { 7, 485, 1024 }, { 7, 486, 1024 }, { 8, 487, 1024 }, 
+   { 6, 488, 1024 }, { 7, 489, 1024 }, { 7, 490, 1024 }, { 8, 491, 1024 }, { 7, 492, 1024 }, { 8, 493, 1024 }, { 8, 494, 1024 }, { 9, 495, 1024 }, 
+   { 6, 496, 1024 }, { 7, 497, 1024 }, { 7, 498, 1024 }, { 8, 499, 1024 }, { 7, 500, 1024 }, { 8, 501, 1024 }, { 8, 502, 1024 }, { 9, 503, 1024 }, 
+   { 7, 504, 1024 }, { 8, 505, 1024 }, { 8, 506, 1024 }, { 9, 507, 1024 }, { 8, 508, 1024 }, { 9, 509, 1024 }, { 9, 510, 1024 }, { 10, 511, 1024 }, 
+   { 2, 512, 1024 }, { 3, 513, 1024 }, { 3, 514, 1024 }, { 4, 515, 1024 }, { 3, 516, 1024 }, { 4, 517, 1024 }, { 4, 518, 1024 }, { 5, 519, 1024 }, 
+   { 3, 520, 1024 }, { 4, 521, 1024 }, { 4, 522, 1024 }, { 5, 523, 1024 }, { 4, 524, 1024 }, { 5, 525, 1024 }, { 5, 526, 1024 }, { 6, 527, 1024 }, 
+   { 3, 528, 1024 }, { 4, 529, 1024 }, { 4, 530, 1024 }, { 5, 531, 1024 }, { 4, 532, 1024 }, { 5, 533, 1024 }, { 5, 534, 1024 }, { 6, 535, 1024 }, 
+   { 4, 536, 1024 }, { 5, 537, 1024 }, { 5, 538, 1024 }, { 6, 539, 1024 }, { 5, 540, 1024 }, { 6, 541, 1024 }, { 6, 542, 1024 }, { 7, 543, 1024 }, 
+   { 3, 544, 1024 }, { 4, 545, 1024 }, { 4, 546, 1024 }, { 5, 547, 1024 }, { 4, 548, 1024 }, { 5, 549, 1024 }, { 5, 550, 1024 }, { 6, 551, 1024 }, 
+   { 4, 552, 1024 }, { 5, 553, 1024 }, { 5, 554, 1024 }, { 6, 555, 1024 }, { 5, 556, 1024 }, { 6, 557, 1024 }, { 6, 558, 1024 }, { 7, 559, 1024 }, 
+   { 4, 560, 1024 }, { 5, 561, 1024 }, { 5, 562, 1024 }, { 6, 563, 1024 }, { 5, 564, 1024 }, { 6, 565, 1024 }, { 6, 566, 1024 }, { 7, 567, 1024 }, 
+   { 5, 568, 1024 }, { 6, 569, 1024 }, { 6, 570, 1024 }, { 7, 571, 1024 }, { 6, 572, 1024 }, { 7, 573, 1024 }, { 7, 574, 1024 }, { 8, 575, 1024 }, 
+   { 3, 576, 1024 }, { 4, 577, 1024 }, { 4, 578, 1024 }, { 5, 579, 1024 }, { 4, 580, 1024 }, { 5, 581, 1024 }, { 5, 582, 1024 }, { 6, 583, 1024 }, 
+   { 4, 584, 1024 }, { 5, 585, 1024 }, { 5, 586, 1024 }, { 6, 587, 1024 }, { 5, 588, 1024 }, { 6, 589, 1024 }, { 6, 590, 1024 }, { 7, 591, 1024 }, 
+   { 4, 592, 1024 }, { 5, 593, 1024 }, { 5, 594, 1024 }, { 6, 595, 1024 }, { 5, 596, 1024 }, { 6, 597, 1024 }, { 6, 598, 1024 }, { 7, 599, 1024 }, 
+   { 5, 600, 1024 }, { 6, 601, 1024 }, { 6, 602, 1024 }, { 7, 603, 1024 }, { 6, 604, 1024 }, { 7, 605, 1024 }, { 7, 606, 1024 }, { 8, 607, 1024 }, 
+   { 4, 608, 1024 }, { 5, 609, 1024 }, { 5, 610, 1024 }, { 6, 611, 1024 }, { 5, 612, 1024 }, { 6, 613, 1024 }, { 6, 614, 1024 }, { 7, 615, 1024 }, 
+   { 5, 616, 1024 }, { 6, 617, 1024 }, { 6, 618, 1024 }, { 7, 619, 1024 }, { 6, 620, 1024 }, { 7, 621, 1024 }, { 7, 622, 1024 }, { 8, 623, 1024 }, 
+   { 5, 624, 1024 }, { 6, 625, 1024 }, { 6, 626, 1024 }, { 7, 627, 1024 }, { 6, 628, 1024 }, { 7, 629, 1024 }, { 7, 630, 1024 }, { 8, 631, 1024 }, 
+   { 6, 632, 1024 }, { 7, 633, 1024 }, { 7, 634, 1024 }, { 8, 635, 1024 }, { 7, 636, 1024 }, { 8, 637, 1024 }, { 8, 638, 1024 }, { 9, 639, 1024 }, 
+   { 3, 640, 1024 }, { 4, 641, 1024 }, { 4, 642, 1024 }, { 5, 643, 1024 }, { 4, 644, 1024 }, { 5, 645, 1024 }, { 5, 646, 1024 }, { 6, 647, 1024 }, 
+   { 4, 648, 1024 }, { 5, 649, 1024 }, { 5, 650, 1024 }, { 6, 651, 1024 }, { 5, 652, 1024 }, { 6, 653, 1024 }, { 6, 654, 1024 }, { 7, 655, 1024 }, 
+   { 4, 656, 1024 }, { 5, 657, 1024 }, { 5, 658, 1024 }, { 6, 659, 1024 }, { 5, 660, 1024 }, { 6, 661, 1024 }, { 6, 662, 1024 }, { 7, 663, 1024 }, 
+   { 5, 664, 1024 }, { 6, 665, 1024 }, { 6, 666, 1024 }, { 7, 667, 1024 }, { 6, 668, 1024 }, { 7, 669, 1024 }, { 7, 670, 1024 }, { 8, 671, 1024 }, 
+   { 4, 672, 1024 }, { 5, 673, 1024 }, { 5, 674, 1024 }, { 6, 675, 1024 }, { 5, 676, 1024 }, { 6, 677, 1024 }, { 6, 678, 1024 }, { 7, 679, 1024 }, 
+   { 5, 680, 1024 }, { 6, 681, 1024 }, { 6, 682, 1024 }, { 7, 683, 1024 }, { 6, 684, 1024 }, { 7, 685, 1024 }, { 7, 686, 1024 }, { 8, 687, 1024 }, 
+   { 5, 688, 1024 }, { 6, 689, 1024 }, { 6, 690, 1024 }, { 7, 691, 1024 }, { 6, 692, 1024 }, { 7, 693, 1024 }, { 7, 694, 1024 }, { 8, 695, 1024 }, 
+   { 6, 696, 1024 }, { 7, 697, 1024 }, { 7, 698, 1024 }, { 8, 699, 1024 }, { 7, 700, 1024 }, { 8, 701, 1024 }, { 8, 702, 1024 }, { 9, 703, 1024 }, 
+   { 4, 704, 1024 }, { 5, 705, 1024 }, { 5, 706, 1024 }, { 6, 707, 1024 }, { 5, 708, 1024 }, { 6, 709, 1024 }, { 6, 710, 1024 }, { 7, 711, 1024 }, 
+   { 5, 712, 1024 }, { 6, 713, 1024 }, { 6, 714, 1024 }, { 7, 715, 1024 }, { 6, 716, 1024 }, { 7, 717, 1024 }, { 7, 718, 1024 }, { 8, 719, 1024 }, 
+   { 5, 720, 1024 }, { 6, 721, 1024 }, { 6, 722, 1024 }, { 7, 723, 1024 }, { 6, 724, 1024 }, { 7, 725, 1024 }, { 7, 726, 1024 }, { 8, 727, 1024 }, 
+   { 6, 728, 1024 }, { 7, 729, 1024 }, { 7, 730, 1024 }, { 8, 731, 1024 }, { 7, 732, 1024 }, { 8, 733, 1024 }, { 8, 734, 1024 }, { 9, 735, 1024 }, 
+   { 5, 736, 1024 }, { 6, 737, 1024 }, { 6, 738, 1024 }, { 7, 739, 1024 }, { 6, 740, 1024 }, { 7, 741, 1024 }, { 7, 742, 1024 }, { 8, 743, 1024 }, 
+   { 6, 744, 1024 }, { 7, 745, 1024 }, { 7, 746, 1024 }, { 8, 747, 1024 }, { 7, 748, 1024 }, { 8, 749, 1024 }, { 8, 750, 1024 }, { 9, 751, 1024 }, 
+   { 6, 752, 1024 }, { 7, 753, 1024 }, { 7, 754, 1024 }, { 8, 755, 1024 }, { 7, 756, 1024 }, { 8, 757, 1024 }, { 8, 758, 1024 }, { 9, 759, 1024 }, 
+   { 7, 760, 1024 }, { 8, 761, 1024 }, { 8, 762, 1024 }, { 9, 763, 1024 }, { 8, 764, 1024 }, { 9, 765, 1024 }, { 9, 766, 1024 }, { 10, 767, 1024 }, 
+   { 3, 768, 1024 }, { 4, 769, 1024 }, { 4, 770, 1024 }, { 5, 771, 1024 }, { 4, 772, 1024 }, { 5, 773, 1024 }, { 5, 774, 1024 }, { 6, 775, 1024 }, 
+   { 4, 776, 1024 }, { 5, 777, 1024 }, { 5, 778, 1024 }, { 6, 779, 1024 }, { 5, 780, 1024 }, { 6, 781, 1024 }, { 6, 782, 1024 }, { 7, 783, 1024 }, 
+   { 4, 784, 1024 }, { 5, 785, 1024 }, { 5, 786, 1024 }, { 6, 787, 1024 }, { 5, 788, 1024 }, { 6, 789, 1024 }, { 6, 790, 1024 }, { 7, 791, 1024 }, 
+   { 5, 792, 1024 }, { 6, 793, 1024 }, { 6, 794, 1024 }, { 7, 795, 1024 }, { 6, 796, 1024 }, { 7, 797, 1024 }, { 7, 798, 1024 }, { 8, 799, 1024 }, 
+   { 4, 800, 1024 }, { 5, 801, 1024 }, { 5, 802, 1024 }, { 6, 803, 1024 }, { 5, 804, 1024 }, { 6, 805, 1024 }, { 6, 806, 1024 }, { 7, 807, 1024 }, 
+   { 5, 808, 1024 }, { 6, 809, 1024 }, { 6, 810, 1024 }, { 7, 811, 1024 }, { 6, 812, 1024 }, { 7, 813, 1024 }, { 7, 814, 1024 }, { 8, 815, 1024 }, 
+   { 5, 816, 1024 }, { 6, 817, 1024 }, { 6, 818, 1024 }, { 7, 819, 1024 }, { 6, 820, 1024 }, { 7, 821, 1024 }, { 7, 822, 1024 }, { 8, 823, 1024 }, 
+   { 6, 824, 1024 }, { 7, 825, 1024 }, { 7, 826, 1024 }, { 8, 827, 1024 }, { 7, 828, 1024 }, { 8, 829, 1024 }, { 8, 830, 1024 }, { 9, 831, 1024 }, 
+   { 4, 832, 1024 }, { 5, 833, 1024 }, { 5, 834, 1024 }, { 6, 835, 1024 }, { 5, 836, 1024 }, { 6, 837, 1024 }, { 6, 838, 1024 }, { 7, 839, 1024 }, 
+   { 5, 840, 1024 }, { 6, 841, 1024 }, { 6, 842, 1024 }, { 7, 843, 1024 }, { 6, 844, 1024 }, { 7, 845, 1024 }, { 7, 846, 1024 }, { 8, 847, 1024 }, 
+   { 5, 848, 1024 }, { 6, 849, 1024 }, { 6, 850, 1024 }, { 7, 851, 1024 }, { 6, 852, 1024 }, { 7, 853, 1024 }, { 7, 854, 1024 }, { 8, 855, 1024 }, 
+   { 6, 856, 1024 }, { 7, 857, 1024 }, { 7, 858, 1024 }, { 8, 859, 1024 }, { 7, 860, 1024 }, { 8, 861, 1024 }, { 8, 862, 1024 }, { 9, 863, 1024 }, 
+   { 5, 864, 1024 }, { 6, 865, 1024 }, { 6, 866, 1024 }, { 7, 867, 1024 }, { 6, 868, 1024 }, { 7, 869, 1024 }, { 7, 870, 1024 }, { 8, 871, 1024 }, 
+   { 6, 872, 1024 }, { 7, 873, 1024 }, { 7, 874, 1024 }, { 8, 875, 1024 }, { 7, 876, 1024 }, { 8, 877, 1024 }, { 8, 878, 1024 }, { 9, 879, 1024 }, 
+   { 6, 880, 1024 }, { 7, 881, 1024 }, { 7, 882, 1024 }, { 8, 883, 1024 }, { 7, 884, 1024 }, { 8, 885, 1024 }, { 8, 886, 1024 }, { 9, 887, 1024 }, 
+   { 7, 888, 1024 }, { 8, 889, 1024 }, { 8, 890, 1024 }, { 9, 891, 1024 }, { 8, 892, 1024 }, { 9, 893, 1024 }, { 9, 894, 1024 }, { 10, 895, 1024 }, 
+   { 4, 896, 1024 }, { 5, 897, 1024 }, { 5, 898, 1024 }, { 6, 899, 1024 }, { 5, 900, 1024 }, { 6, 901, 1024 }, { 6, 902, 1024 }, { 7, 903, 1024 }, 
+   { 5, 904, 1024 }, { 6, 905, 1024 }, { 6, 906, 1024 }, { 7, 907, 1024 }, { 6, 908, 1024 }, { 7, 909, 1024 }, { 7, 910, 1024 }, { 8, 911, 1024 }, 
+   { 5, 912, 1024 }, { 6, 913, 1024 }, { 6, 914, 1024 }, { 7, 915, 1024 }, { 6, 916, 1024 }, { 7, 917, 1024 }, { 7, 918, 1024 }, { 8, 919, 1024 }, 
+   { 6, 920, 1024 }, { 7, 921, 1024 }, { 7, 922, 1024 }, { 8, 923, 1024 }, { 7, 924, 1024 }, { 8, 925, 1024 }, { 8, 926, 1024 }, { 9, 927, 1024 }, 
+   { 5, 928, 1024 }, { 6, 929, 1024 }, { 6, 930, 1024 }, { 7, 931, 1024 }, { 6, 932, 1024 }, { 7, 933, 1024 }, { 7, 934, 1024 }, { 8, 935, 1024 }, 
+   { 6, 936, 1024 }, { 7, 937, 1024 }, { 7, 938, 1024 }, { 8, 939, 1024 }, { 7, 940, 1024 }, { 8, 941, 1024 }, { 8, 942, 1024 }, { 9, 943, 1024 }, 
+   { 6, 944, 1024 }, { 7, 945, 1024 }, { 7, 946, 1024 }, { 8, 947, 1024 }, { 7, 948, 1024 }, { 8, 949, 1024 }, { 8, 950, 1024 }, { 9, 951, 1024 }, 
+   { 7, 952, 1024 }, { 8, 953, 1024 }, { 8, 954, 1024 }, { 9, 955, 1024 }, { 8, 956, 1024 }, { 9, 957, 1024 }, { 9, 958, 1024 }, { 10, 959, 1024 }, 
+   { 5, 960, 1024 }, { 6, 961, 1024 }, { 6, 962, 1024 }, { 7, 963, 1024 }, { 6, 964, 1024 }, { 7, 965, 1024 }, { 7, 966, 1024 }, { 8, 967, 1024 }, 
+   { 6, 968, 1024 }, { 7, 969, 1024 }, { 7, 970, 1024 }, { 8, 971, 1024 }, { 7, 972, 1024 }, { 8, 973, 1024 }, { 8, 974, 1024 }, { 9, 975, 1024 }, 
+   { 6, 976, 1024 }, { 7, 977, 1024 }, { 7, 978, 1024 }, { 8, 979, 1024 }, { 7, 980, 1024 }, { 8, 981, 1024 }, { 8, 982, 1024 }, { 9, 983, 1024 }, 
+   { 7, 984, 1024 }, { 8, 985, 1024 }, { 8, 986, 1024 }, { 9, 987, 1024 }, { 8, 988, 1024 }, { 9, 989, 1024 }, { 9, 990, 1024 }, { 10, 991, 1024 }, 
+   { 6, 992, 1024 }, { 7, 993, 1024 }, { 7, 994, 1024 }, { 8, 995, 1024 }, { 7, 996, 1024 }, { 8, 997, 1024 }, { 8, 998, 1024 }, { 9, 999, 1024 }, 
+   { 7, 1000, 1024 }, { 8, 1001, 1024 }, { 8, 1002, 1024 }, { 9, 1003, 1024 }, { 8, 1004, 1024 }, { 9, 1005, 1024 }, { 9, 1006, 1024 }, { 10, 1007, 1024 }, 
+   { 7, 1008, 1024 }, { 8, 1009, 1024 }, { 8, 1010, 1024 }, { 9, 1011, 1024 }, { 8, 1012, 1024 }, { 9, 1013, 1024 }, { 9, 1014, 1024 }, { 10, 1015, 1024 }, 
+   { 8, 1016, 1024 }, { 9, 1017, 1024 }, { 9, 1018, 1024 }, { 10, 1019, 1024 }, { 9, 1020, 1024 }, { 10, 1021, 1024 }, { 10, 1022, 1024 }, { 11, 1023, 1024 }, 
+#if FP_LUT > 11
+   { 1, 0, 0 }, { 2, 1, 2048 }, { 2, 2, 2048 }, { 3, 3, 2048 }, { 2, 4, 2048 }, { 3, 5, 2048 }, { 3, 6, 2048 }, { 4, 7, 2048 }, 
+   { 2, 8, 2048 }, { 3, 9, 2048 }, { 3, 10, 2048 }, { 4, 11, 2048 }, { 3, 12, 2048 }, { 4, 13, 2048 }, { 4, 14, 2048 }, { 5, 15, 2048 }, 
+   { 2, 16, 2048 }, { 3, 17, 2048 }, { 3, 18, 2048 }, { 4, 19, 2048 }, { 3, 20, 2048 }, { 4, 21, 2048 }, { 4, 22, 2048 }, { 5, 23, 2048 }, 
+   { 3, 24, 2048 }, { 4, 25, 2048 }, { 4, 26, 2048 }, { 5, 27, 2048 }, { 4, 28, 2048 }, { 5, 29, 2048 }, { 5, 30, 2048 }, { 6, 31, 2048 }, 
+   { 2, 32, 2048 }, { 3, 33, 2048 }, { 3, 34, 2048 }, { 4, 35, 2048 }, { 3, 36, 2048 }, { 4, 37, 2048 }, { 4, 38, 2048 }, { 5, 39, 2048 }, 
+   { 3, 40, 2048 }, { 4, 41, 2048 }, { 4, 42, 2048 }, { 5, 43, 2048 }, { 4, 44, 2048 }, { 5, 45, 2048 }, { 5, 46, 2048 }, { 6, 47, 2048 }, 
+   { 3, 48, 2048 }, { 4, 49, 2048 }, { 4, 50, 2048 }, { 5, 51, 2048 }, { 4, 52, 2048 }, { 5, 53, 2048 }, { 5, 54, 2048 }, { 6, 55, 2048 }, 
+   { 4, 56, 2048 }, { 5, 57, 2048 }, { 5, 58, 2048 }, { 6, 59, 2048 }, { 5, 60, 2048 }, { 6, 61, 2048 }, { 6, 62, 2048 }, { 7, 63, 2048 }, 
+   { 2, 64, 2048 }, { 3, 65, 2048 }, { 3, 66, 2048 }, { 4, 67, 2048 }, { 3, 68, 2048 }, { 4, 69, 2048 }, { 4, 70, 2048 }, { 5, 71, 2048 }, 
+   { 3, 72, 2048 }, { 4, 73, 2048 }, { 4, 74, 2048 }, { 5, 75, 2048 }, { 4, 76, 2048 }, { 5, 77, 2048 }, { 5, 78, 2048 }, { 6, 79, 2048 }, 
+   { 3, 80, 2048 }, { 4, 81, 2048 }, { 4, 82, 2048 }, { 5, 83, 2048 }, { 4, 84, 2048 }, { 5, 85, 2048 }, { 5, 86, 2048 }, { 6, 87, 2048 }, 
+   { 4, 88, 2048 }, { 5, 89, 2048 }, { 5, 90, 2048 }, { 6, 91, 2048 }, { 5, 92, 2048 }, { 6, 93, 2048 }, { 6, 94, 2048 }, { 7, 95, 2048 }, 
+   { 3, 96, 2048 }, { 4, 97, 2048 }, { 4, 98, 2048 }, { 5, 99, 2048 }, { 4, 100, 2048 }, { 5, 101, 2048 }, { 5, 102, 2048 }, { 6, 103, 2048 }, 
+   { 4, 104, 2048 }, { 5, 105, 2048 }, { 5, 106, 2048 }, { 6, 107, 2048 }, { 5, 108, 2048 }, { 6, 109, 2048 }, { 6, 110, 2048 }, { 7, 111, 2048 }, 
+   { 4, 112, 2048 }, { 5, 113, 2048 }, { 5, 114, 2048 }, { 6, 115, 2048 }, { 5, 116, 2048 }, { 6, 117, 2048 }, { 6, 118, 2048 }, { 7, 119, 2048 }, 
+   { 5, 120, 2048 }, { 6, 121, 2048 }, { 6, 122, 2048 }, { 7, 123, 2048 }, { 6, 124, 2048 }, { 7, 125, 2048 }, { 7, 126, 2048 }, { 8, 127, 2048 }, 
+   { 2, 128, 2048 }, { 3, 129, 2048 }, { 3, 130, 2048 }, { 4, 131, 2048 }, { 3, 132, 2048 }, { 4, 133, 2048 }, { 4, 134, 2048 }, { 5, 135, 2048 }, 
+   { 3, 136, 2048 }, { 4, 137, 2048 }, { 4, 138, 2048 }, { 5, 139, 2048 }, { 4, 140, 2048 }, { 5, 141, 2048 }, { 5, 142, 2048 }, { 6, 143, 2048 }, 
+   { 3, 144, 2048 }, { 4, 145, 2048 }, { 4, 146, 2048 }, { 5, 147, 2048 }, { 4, 148, 2048 }, { 5, 149, 2048 }, { 5, 150, 2048 }, { 6, 151, 2048 }, 
+   { 4, 152, 2048 }, { 5, 153, 2048 }, { 5, 154, 2048 }, { 6, 155, 2048 }, { 5, 156, 2048 }, { 6, 157, 2048 }, { 6, 158, 2048 }, { 7, 159, 2048 }, 
+   { 3, 160, 2048 }, { 4, 161, 2048 }, { 4, 162, 2048 }, { 5, 163, 2048 }, { 4, 164, 2048 }, { 5, 165, 2048 }, { 5, 166, 2048 }, { 6, 167, 2048 }, 
+   { 4, 168, 2048 }, { 5, 169, 2048 }, { 5, 170, 2048 }, { 6, 171, 2048 }, { 5, 172, 2048 }, { 6, 173, 2048 }, { 6, 174, 2048 }, { 7, 175, 2048 }, 
+   { 4, 176, 2048 }, { 5, 177, 2048 }, { 5, 178, 2048 }, { 6, 179, 2048 }, { 5, 180, 2048 }, { 6, 181, 2048 }, { 6, 182, 2048 }, { 7, 183, 2048 }, 
+   { 5, 184, 2048 }, { 6, 185, 2048 }, { 6, 186, 2048 }, { 7, 187, 2048 }, { 6, 188, 2048 }, { 7, 189, 2048 }, { 7, 190, 2048 }, { 8, 191, 2048 }, 
+   { 3, 192, 2048 }, { 4, 193, 2048 }, { 4, 194, 2048 }, { 5, 195, 2048 }, { 4, 196, 2048 }, { 5, 197, 2048 }, { 5, 198, 2048 }, { 6, 199, 2048 }, 
+   { 4, 200, 2048 }, { 5, 201, 2048 }, { 5, 202, 2048 }, { 6, 203, 2048 }, { 5, 204, 2048 }, { 6, 205, 2048 }, { 6, 206, 2048 }, { 7, 207, 2048 }, 
+   { 4, 208, 2048 }, { 5, 209, 2048 }, { 5, 210, 2048 }, { 6, 211, 2048 }, { 5, 212, 2048 }, { 6, 213, 2048 }, { 6, 214, 2048 }, { 7, 215, 2048 }, 
+   { 5, 216, 2048 }, { 6, 217, 2048 }, { 6, 218, 2048 }, { 7, 219, 2048 }, { 6, 220, 2048 }, { 7, 221, 2048 }, { 7, 222, 2048 }, { 8, 223, 2048 }, 
+   { 4, 224, 2048 }, { 5, 225, 2048 }, { 5, 226, 2048 }, { 6, 227, 2048 }, { 5, 228, 2048 }, { 6, 229, 2048 }, { 6, 230, 2048 }, { 7, 231, 2048 }, 
+   { 5, 232, 2048 }, { 6, 233, 2048 }, { 6, 234, 2048 }, { 7, 235, 2048 }, { 6, 236, 2048 }, { 7, 237, 2048 }, { 7, 238, 2048 }, { 8, 239, 2048 }, 
+   { 5, 240, 2048 }, { 6, 241, 2048 }, { 6, 242, 2048 }, { 7, 243, 2048 }, { 6, 244, 2048 }, { 7, 245, 2048 }, { 7, 246, 2048 }, { 8, 247, 2048 }, 
+   { 6, 248, 2048 }, { 7, 249, 2048 }, { 7, 250, 2048 }, { 8, 251, 2048 }, { 7, 252, 2048 }, { 8, 253, 2048 }, { 8, 254, 2048 }, { 9, 255, 2048 }, 
+   { 2, 256, 2048 }, { 3, 257, 2048 }, { 3, 258, 2048 }, { 4, 259, 2048 }, { 3, 260, 2048 }, { 4, 261, 2048 }, { 4, 262, 2048 }, { 5, 263, 2048 }, 
+   { 3, 264, 2048 }, { 4, 265, 2048 }, { 4, 266, 2048 }, { 5, 267, 2048 }, { 4, 268, 2048 }, { 5, 269, 2048 }, { 5, 270, 2048 }, { 6, 271, 2048 }, 
+   { 3, 272, 2048 }, { 4, 273, 2048 }, { 4, 274, 2048 }, { 5, 275, 2048 }, { 4, 276, 2048 }, { 5, 277, 2048 }, { 5, 278, 2048 }, { 6, 279, 2048 }, 
+   { 4, 280, 2048 }, { 5, 281, 2048 }, { 5, 282, 2048 }, { 6, 283, 2048 }, { 5, 284, 2048 }, { 6, 285, 2048 }, { 6, 286, 2048 }, { 7, 287, 2048 }, 
+   { 3, 288, 2048 }, { 4, 289, 2048 }, { 4, 290, 2048 }, { 5, 291, 2048 }, { 4, 292, 2048 }, { 5, 293, 2048 }, { 5, 294, 2048 }, { 6, 295, 2048 }, 
+   { 4, 296, 2048 }, { 5, 297, 2048 }, { 5, 298, 2048 }, { 6, 299, 2048 }, { 5, 300, 2048 }, { 6, 301, 2048 }, { 6, 302, 2048 }, { 7, 303, 2048 }, 
+   { 4, 304, 2048 }, { 5, 305, 2048 }, { 5, 306, 2048 }, { 6, 307, 2048 }, { 5, 308, 2048 }, { 6, 309, 2048 }, { 6, 310, 2048 }, { 7, 311, 2048 }, 
+   { 5, 312, 2048 }, { 6, 313, 2048 }, { 6, 314, 2048 }, { 7, 315, 2048 }, { 6, 316, 2048 }, { 7, 317, 2048 }, { 7, 318, 2048 }, { 8, 319, 2048 }, 
+   { 3, 320, 2048 }, { 4, 321, 2048 }, { 4, 322, 2048 }, { 5, 323, 2048 }, { 4, 324, 2048 }, { 5, 325, 2048 }, { 5, 326, 2048 }, { 6, 327, 2048 }, 
+   { 4, 328, 2048 }, { 5, 329, 2048 }, { 5, 330, 2048 }, { 6, 331, 2048 }, { 5, 332, 2048 }, { 6, 333, 2048 }, { 6, 334, 2048 }, { 7, 335, 2048 }, 
+   { 4, 336, 2048 }, { 5, 337, 2048 }, { 5, 338, 2048 }, { 6, 339, 2048 }, { 5, 340, 2048 }, { 6, 341, 2048 }, { 6, 342, 2048 }, { 7, 343, 2048 }, 
+   { 5, 344, 2048 }, { 6, 345, 2048 }, { 6, 346, 2048 }, { 7, 347, 2048 }, { 6, 348, 2048 }, { 7, 349, 2048 }, { 7, 350, 2048 }, { 8, 351, 2048 }, 
+   { 4, 352, 2048 }, { 5, 353, 2048 }, { 5, 354, 2048 }, { 6, 355, 2048 }, { 5, 356, 2048 }, { 6, 357, 2048 }, { 6, 358, 2048 }, { 7, 359, 2048 }, 
+   { 5, 360, 2048 }, { 6, 361, 2048 }, { 6, 362, 2048 }, { 7, 363, 2048 }, { 6, 364, 2048 }, { 7, 365, 2048 }, { 7, 366, 2048 }, { 8, 367, 2048 }, 
+   { 5, 368, 2048 }, { 6, 369, 2048 }, { 6, 370, 2048 }, { 7, 371, 2048 }, { 6, 372, 2048 }, { 7, 373, 2048 }, { 7, 374, 2048 }, { 8, 375, 2048 }, 
+   { 6, 376, 2048 }, { 7, 377, 2048 }, { 7, 378, 2048 }, { 8, 379, 2048 }, { 7, 380, 2048 }, { 8, 381, 2048 }, { 8, 382, 2048 }, { 9, 383, 2048 }, 
+   { 3, 384, 2048 }, { 4, 385, 2048 }, { 4, 386, 2048 }, { 5, 387, 2048 }, { 4, 388, 2048 }, { 5, 389, 2048 }, { 5, 390, 2048 }, { 6, 391, 2048 }, 
+   { 4, 392, 2048 }, { 5, 393, 2048 }, { 5, 394, 2048 }, { 6, 395, 2048 }, { 5, 396, 2048 }, { 6, 397, 2048 }, { 6, 398, 2048 }, { 7, 399, 2048 }, 
+   { 4, 400, 2048 }, { 5, 401, 2048 }, { 5, 402, 2048 }, { 6, 403, 2048 }, { 5, 404, 2048 }, { 6, 405, 2048 }, { 6, 406, 2048 }, { 7, 407, 2048 }, 
+   { 5, 408, 2048 }, { 6, 409, 2048 }, { 6, 410, 2048 }, { 7, 411, 2048 }, { 6, 412, 2048 }, { 7, 413, 2048 }, { 7, 414, 2048 }, { 8, 415, 2048 }, 
+   { 4, 416, 2048 }, { 5, 417, 2048 }, { 5, 418, 2048 }, { 6, 419, 2048 }, { 5, 420, 2048 }, { 6, 421, 2048 }, { 6, 422, 2048 }, { 7, 423, 2048 }, 
+   { 5, 424, 2048 }, { 6, 425, 2048 }, { 6, 426, 2048 }, { 7, 427, 2048 }, { 6, 428, 2048 }, { 7, 429, 2048 }, { 7, 430, 2048 }, { 8, 431, 2048 }, 
+   { 5, 432, 2048 }, { 6, 433, 2048 }, { 6, 434, 2048 }, { 7, 435, 2048 }, { 6, 436, 2048 }, { 7, 437, 2048 }, { 7, 438, 2048 }, { 8, 439, 2048 }, 
+   { 6, 440, 2048 }, { 7, 441, 2048 }, { 7, 442, 2048 }, { 8, 443, 2048 }, { 7, 444, 2048 }, { 8, 445, 2048 }, { 8, 446, 2048 }, { 9, 447, 2048 }, 
+   { 4, 448, 2048 }, { 5, 449, 2048 }, { 5, 450, 2048 }, { 6, 451, 2048 }, { 5, 452, 2048 }, { 6, 453, 2048 }, { 6, 454, 2048 }, { 7, 455, 2048 }, 
+   { 5, 456, 2048 }, { 6, 457, 2048 }, { 6, 458, 2048 }, { 7, 459, 2048 }, { 6, 460, 2048 }, { 7, 461, 2048 }, { 7, 462, 2048 }, { 8, 463, 2048 }, 
+   { 5, 464, 2048 }, { 6, 465, 2048 }, { 6, 466, 2048 }, { 7, 467, 2048 }, { 6, 468, 2048 }, { 7, 469, 2048 }, { 7, 470, 2048 }, { 8, 471, 2048 }, 
+   { 6, 472, 2048 }, { 7, 473, 2048 }, { 7, 474, 2048 }, { 8, 475, 2048 }, { 7, 476, 2048 }, { 8, 477, 2048 }, { 8, 478, 2048 }, { 9, 479, 2048 }, 
+   { 5, 480, 2048 }, { 6, 481, 2048 }, { 6, 482, 2048 }, { 7, 483, 2048 }, { 6, 484, 2048 }, { 7, 485, 2048 }, { 7, 486, 2048 }, { 8, 487, 2048 }, 
+   { 6, 488, 2048 }, { 7, 489, 2048 }, { 7, 490, 2048 }, { 8, 491, 2048 }, { 7, 492, 2048 }, { 8, 493, 2048 }, { 8, 494, 2048 }, { 9, 495, 2048 }, 
+   { 6, 496, 2048 }, { 7, 497, 2048 }, { 7, 498, 2048 }, { 8, 499, 2048 }, { 7, 500, 2048 }, { 8, 501, 2048 }, { 8, 502, 2048 }, { 9, 503, 2048 }, 
+   { 7, 504, 2048 }, { 8, 505, 2048 }, { 8, 506, 2048 }, { 9, 507, 2048 }, { 8, 508, 2048 }, { 9, 509, 2048 }, { 9, 510, 2048 }, { 10, 511, 2048 }, 
+   { 2, 512, 2048 }, { 3, 513, 2048 }, { 3, 514, 2048 }, { 4, 515, 2048 }, { 3, 516, 2048 }, { 4, 517, 2048 }, { 4, 518, 2048 }, { 5, 519, 2048 }, 
+   { 3, 520, 2048 }, { 4, 521, 2048 }, { 4, 522, 2048 }, { 5, 523, 2048 }, { 4, 524, 2048 }, { 5, 525, 2048 }, { 5, 526, 2048 }, { 6, 527, 2048 }, 
+   { 3, 528, 2048 }, { 4, 529, 2048 }, { 4, 530, 2048 }, { 5, 531, 2048 }, { 4, 532, 2048 }, { 5, 533, 2048 }, { 5, 534, 2048 }, { 6, 535, 2048 }, 
+   { 4, 536, 2048 }, { 5, 537, 2048 }, { 5, 538, 2048 }, { 6, 539, 2048 }, { 5, 540, 2048 }, { 6, 541, 2048 }, { 6, 542, 2048 }, { 7, 543, 2048 }, 
+   { 3, 544, 2048 }, { 4, 545, 2048 }, { 4, 546, 2048 }, { 5, 547, 2048 }, { 4, 548, 2048 }, { 5, 549, 2048 }, { 5, 550, 2048 }, { 6, 551, 2048 }, 
+   { 4, 552, 2048 }, { 5, 553, 2048 }, { 5, 554, 2048 }, { 6, 555, 2048 }, { 5, 556, 2048 }, { 6, 557, 2048 }, { 6, 558, 2048 }, { 7, 559, 2048 }, 
+   { 4, 560, 2048 }, { 5, 561, 2048 }, { 5, 562, 2048 }, { 6, 563, 2048 }, { 5, 564, 2048 }, { 6, 565, 2048 }, { 6, 566, 2048 }, { 7, 567, 2048 }, 
+   { 5, 568, 2048 }, { 6, 569, 2048 }, { 6, 570, 2048 }, { 7, 571, 2048 }, { 6, 572, 2048 }, { 7, 573, 2048 }, { 7, 574, 2048 }, { 8, 575, 2048 }, 
+   { 3, 576, 2048 }, { 4, 577, 2048 }, { 4, 578, 2048 }, { 5, 579, 2048 }, { 4, 580, 2048 }, { 5, 581, 2048 }, { 5, 582, 2048 }, { 6, 583, 2048 }, 
+   { 4, 584, 2048 }, { 5, 585, 2048 }, { 5, 586, 2048 }, { 6, 587, 2048 }, { 5, 588, 2048 }, { 6, 589, 2048 }, { 6, 590, 2048 }, { 7, 591, 2048 }, 
+   { 4, 592, 2048 }, { 5, 593, 2048 }, { 5, 594, 2048 }, { 6, 595, 2048 }, { 5, 596, 2048 }, { 6, 597, 2048 }, { 6, 598, 2048 }, { 7, 599, 2048 }, 
+   { 5, 600, 2048 }, { 6, 601, 2048 }, { 6, 602, 2048 }, { 7, 603, 2048 }, { 6, 604, 2048 }, { 7, 605, 2048 }, { 7, 606, 2048 }, { 8, 607, 2048 }, 
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+   { 5, 1440, 2048 }, { 6, 1441, 2048 }, { 6, 1442, 2048 }, { 7, 1443, 2048 }, { 6, 1444, 2048 }, { 7, 1445, 2048 }, { 7, 1446, 2048 }, { 8, 1447, 2048 }, 
+   { 6, 1448, 2048 }, { 7, 1449, 2048 }, { 7, 1450, 2048 }, { 8, 1451, 2048 }, { 7, 1452, 2048 }, { 8, 1453, 2048 }, { 8, 1454, 2048 }, { 9, 1455, 2048 }, 
+   { 6, 1456, 2048 }, { 7, 1457, 2048 }, { 7, 1458, 2048 }, { 8, 1459, 2048 }, { 7, 1460, 2048 }, { 8, 1461, 2048 }, { 8, 1462, 2048 }, { 9, 1463, 2048 }, 
+   { 7, 1464, 2048 }, { 8, 1465, 2048 }, { 8, 1466, 2048 }, { 9, 1467, 2048 }, { 8, 1468, 2048 }, { 9, 1469, 2048 }, { 9, 1470, 2048 }, { 10, 1471, 2048 }, 
+   { 5, 1472, 2048 }, { 6, 1473, 2048 }, { 6, 1474, 2048 }, { 7, 1475, 2048 }, { 6, 1476, 2048 }, { 7, 1477, 2048 }, { 7, 1478, 2048 }, { 8, 1479, 2048 }, 
+   { 6, 1480, 2048 }, { 7, 1481, 2048 }, { 7, 1482, 2048 }, { 8, 1483, 2048 }, { 7, 1484, 2048 }, { 8, 1485, 2048 }, { 8, 1486, 2048 }, { 9, 1487, 2048 }, 
+   { 6, 1488, 2048 }, { 7, 1489, 2048 }, { 7, 1490, 2048 }, { 8, 1491, 2048 }, { 7, 1492, 2048 }, { 8, 1493, 2048 }, { 8, 1494, 2048 }, { 9, 1495, 2048 }, 
+   { 7, 1496, 2048 }, { 8, 1497, 2048 }, { 8, 1498, 2048 }, { 9, 1499, 2048 }, { 8, 1500, 2048 }, { 9, 1501, 2048 }, { 9, 1502, 2048 }, { 10, 1503, 2048 }, 
+   { 6, 1504, 2048 }, { 7, 1505, 2048 }, { 7, 1506, 2048 }, { 8, 1507, 2048 }, { 7, 1508, 2048 }, { 8, 1509, 2048 }, { 8, 1510, 2048 }, { 9, 1511, 2048 }, 
+   { 7, 1512, 2048 }, { 8, 1513, 2048 }, { 8, 1514, 2048 }, { 9, 1515, 2048 }, { 8, 1516, 2048 }, { 9, 1517, 2048 }, { 9, 1518, 2048 }, { 10, 1519, 2048 }, 
+   { 7, 1520, 2048 }, { 8, 1521, 2048 }, { 8, 1522, 2048 }, { 9, 1523, 2048 }, { 8, 1524, 2048 }, { 9, 1525, 2048 }, { 9, 1526, 2048 }, { 10, 1527, 2048 }, 
+   { 8, 1528, 2048 }, { 9, 1529, 2048 }, { 9, 1530, 2048 }, { 10, 1531, 2048 }, { 9, 1532, 2048 }, { 10, 1533, 2048 }, { 10, 1534, 2048 }, { 11, 1535, 2048 }, 
+   { 3, 1536, 2048 }, { 4, 1537, 2048 }, { 4, 1538, 2048 }, { 5, 1539, 2048 }, { 4, 1540, 2048 }, { 5, 1541, 2048 }, { 5, 1542, 2048 }, { 6, 1543, 2048 }, 
+   { 4, 1544, 2048 }, { 5, 1545, 2048 }, { 5, 1546, 2048 }, { 6, 1547, 2048 }, { 5, 1548, 2048 }, { 6, 1549, 2048 }, { 6, 1550, 2048 }, { 7, 1551, 2048 }, 
+   { 4, 1552, 2048 }, { 5, 1553, 2048 }, { 5, 1554, 2048 }, { 6, 1555, 2048 }, { 5, 1556, 2048 }, { 6, 1557, 2048 }, { 6, 1558, 2048 }, { 7, 1559, 2048 }, 
+   { 5, 1560, 2048 }, { 6, 1561, 2048 }, { 6, 1562, 2048 }, { 7, 1563, 2048 }, { 6, 1564, 2048 }, { 7, 1565, 2048 }, { 7, 1566, 2048 }, { 8, 1567, 2048 }, 
+   { 4, 1568, 2048 }, { 5, 1569, 2048 }, { 5, 1570, 2048 }, { 6, 1571, 2048 }, { 5, 1572, 2048 }, { 6, 1573, 2048 }, { 6, 1574, 2048 }, { 7, 1575, 2048 }, 
+   { 5, 1576, 2048 }, { 6, 1577, 2048 }, { 6, 1578, 2048 }, { 7, 1579, 2048 }, { 6, 1580, 2048 }, { 7, 1581, 2048 }, { 7, 1582, 2048 }, { 8, 1583, 2048 }, 
+   { 5, 1584, 2048 }, { 6, 1585, 2048 }, { 6, 1586, 2048 }, { 7, 1587, 2048 }, { 6, 1588, 2048 }, { 7, 1589, 2048 }, { 7, 1590, 2048 }, { 8, 1591, 2048 }, 
+   { 6, 1592, 2048 }, { 7, 1593, 2048 }, { 7, 1594, 2048 }, { 8, 1595, 2048 }, { 7, 1596, 2048 }, { 8, 1597, 2048 }, { 8, 1598, 2048 }, { 9, 1599, 2048 }, 
+   { 4, 1600, 2048 }, { 5, 1601, 2048 }, { 5, 1602, 2048 }, { 6, 1603, 2048 }, { 5, 1604, 2048 }, { 6, 1605, 2048 }, { 6, 1606, 2048 }, { 7, 1607, 2048 }, 
+   { 5, 1608, 2048 }, { 6, 1609, 2048 }, { 6, 1610, 2048 }, { 7, 1611, 2048 }, { 6, 1612, 2048 }, { 7, 1613, 2048 }, { 7, 1614, 2048 }, { 8, 1615, 2048 }, 
+   { 5, 1616, 2048 }, { 6, 1617, 2048 }, { 6, 1618, 2048 }, { 7, 1619, 2048 }, { 6, 1620, 2048 }, { 7, 1621, 2048 }, { 7, 1622, 2048 }, { 8, 1623, 2048 }, 
+   { 6, 1624, 2048 }, { 7, 1625, 2048 }, { 7, 1626, 2048 }, { 8, 1627, 2048 }, { 7, 1628, 2048 }, { 8, 1629, 2048 }, { 8, 1630, 2048 }, { 9, 1631, 2048 }, 
+   { 5, 1632, 2048 }, { 6, 1633, 2048 }, { 6, 1634, 2048 }, { 7, 1635, 2048 }, { 6, 1636, 2048 }, { 7, 1637, 2048 }, { 7, 1638, 2048 }, { 8, 1639, 2048 }, 
+   { 6, 1640, 2048 }, { 7, 1641, 2048 }, { 7, 1642, 2048 }, { 8, 1643, 2048 }, { 7, 1644, 2048 }, { 8, 1645, 2048 }, { 8, 1646, 2048 }, { 9, 1647, 2048 }, 
+   { 6, 1648, 2048 }, { 7, 1649, 2048 }, { 7, 1650, 2048 }, { 8, 1651, 2048 }, { 7, 1652, 2048 }, { 8, 1653, 2048 }, { 8, 1654, 2048 }, { 9, 1655, 2048 }, 
+   { 7, 1656, 2048 }, { 8, 1657, 2048 }, { 8, 1658, 2048 }, { 9, 1659, 2048 }, { 8, 1660, 2048 }, { 9, 1661, 2048 }, { 9, 1662, 2048 }, { 10, 1663, 2048 }, 
+   { 4, 1664, 2048 }, { 5, 1665, 2048 }, { 5, 1666, 2048 }, { 6, 1667, 2048 }, { 5, 1668, 2048 }, { 6, 1669, 2048 }, { 6, 1670, 2048 }, { 7, 1671, 2048 }, 
+   { 5, 1672, 2048 }, { 6, 1673, 2048 }, { 6, 1674, 2048 }, { 7, 1675, 2048 }, { 6, 1676, 2048 }, { 7, 1677, 2048 }, { 7, 1678, 2048 }, { 8, 1679, 2048 }, 
+   { 5, 1680, 2048 }, { 6, 1681, 2048 }, { 6, 1682, 2048 }, { 7, 1683, 2048 }, { 6, 1684, 2048 }, { 7, 1685, 2048 }, { 7, 1686, 2048 }, { 8, 1687, 2048 }, 
+   { 6, 1688, 2048 }, { 7, 1689, 2048 }, { 7, 1690, 2048 }, { 8, 1691, 2048 }, { 7, 1692, 2048 }, { 8, 1693, 2048 }, { 8, 1694, 2048 }, { 9, 1695, 2048 }, 
+   { 5, 1696, 2048 }, { 6, 1697, 2048 }, { 6, 1698, 2048 }, { 7, 1699, 2048 }, { 6, 1700, 2048 }, { 7, 1701, 2048 }, { 7, 1702, 2048 }, { 8, 1703, 2048 }, 
+   { 6, 1704, 2048 }, { 7, 1705, 2048 }, { 7, 1706, 2048 }, { 8, 1707, 2048 }, { 7, 1708, 2048 }, { 8, 1709, 2048 }, { 8, 1710, 2048 }, { 9, 1711, 2048 }, 
+   { 6, 1712, 2048 }, { 7, 1713, 2048 }, { 7, 1714, 2048 }, { 8, 1715, 2048 }, { 7, 1716, 2048 }, { 8, 1717, 2048 }, { 8, 1718, 2048 }, { 9, 1719, 2048 }, 
+   { 7, 1720, 2048 }, { 8, 1721, 2048 }, { 8, 1722, 2048 }, { 9, 1723, 2048 }, { 8, 1724, 2048 }, { 9, 1725, 2048 }, { 9, 1726, 2048 }, { 10, 1727, 2048 }, 
+   { 5, 1728, 2048 }, { 6, 1729, 2048 }, { 6, 1730, 2048 }, { 7, 1731, 2048 }, { 6, 1732, 2048 }, { 7, 1733, 2048 }, { 7, 1734, 2048 }, { 8, 1735, 2048 }, 
+   { 6, 1736, 2048 }, { 7, 1737, 2048 }, { 7, 1738, 2048 }, { 8, 1739, 2048 }, { 7, 1740, 2048 }, { 8, 1741, 2048 }, { 8, 1742, 2048 }, { 9, 1743, 2048 }, 
+   { 6, 1744, 2048 }, { 7, 1745, 2048 }, { 7, 1746, 2048 }, { 8, 1747, 2048 }, { 7, 1748, 2048 }, { 8, 1749, 2048 }, { 8, 1750, 2048 }, { 9, 1751, 2048 }, 
+   { 7, 1752, 2048 }, { 8, 1753, 2048 }, { 8, 1754, 2048 }, { 9, 1755, 2048 }, { 8, 1756, 2048 }, { 9, 1757, 2048 }, { 9, 1758, 2048 }, { 10, 1759, 2048 }, 
+   { 6, 1760, 2048 }, { 7, 1761, 2048 }, { 7, 1762, 2048 }, { 8, 1763, 2048 }, { 7, 1764, 2048 }, { 8, 1765, 2048 }, { 8, 1766, 2048 }, { 9, 1767, 2048 }, 
+   { 7, 1768, 2048 }, { 8, 1769, 2048 }, { 8, 1770, 2048 }, { 9, 1771, 2048 }, { 8, 1772, 2048 }, { 9, 1773, 2048 }, { 9, 1774, 2048 }, { 10, 1775, 2048 }, 
+   { 7, 1776, 2048 }, { 8, 1777, 2048 }, { 8, 1778, 2048 }, { 9, 1779, 2048 }, { 8, 1780, 2048 }, { 9, 1781, 2048 }, { 9, 1782, 2048 }, { 10, 1783, 2048 }, 
+   { 8, 1784, 2048 }, { 9, 1785, 2048 }, { 9, 1786, 2048 }, { 10, 1787, 2048 }, { 9, 1788, 2048 }, { 10, 1789, 2048 }, { 10, 1790, 2048 }, { 11, 1791, 2048 }, 
+   { 4, 1792, 2048 }, { 5, 1793, 2048 }, { 5, 1794, 2048 }, { 6, 1795, 2048 }, { 5, 1796, 2048 }, { 6, 1797, 2048 }, { 6, 1798, 2048 }, { 7, 1799, 2048 }, 
+   { 5, 1800, 2048 }, { 6, 1801, 2048 }, { 6, 1802, 2048 }, { 7, 1803, 2048 }, { 6, 1804, 2048 }, { 7, 1805, 2048 }, { 7, 1806, 2048 }, { 8, 1807, 2048 }, 
+   { 5, 1808, 2048 }, { 6, 1809, 2048 }, { 6, 1810, 2048 }, { 7, 1811, 2048 }, { 6, 1812, 2048 }, { 7, 1813, 2048 }, { 7, 1814, 2048 }, { 8, 1815, 2048 }, 
+   { 6, 1816, 2048 }, { 7, 1817, 2048 }, { 7, 1818, 2048 }, { 8, 1819, 2048 }, { 7, 1820, 2048 }, { 8, 1821, 2048 }, { 8, 1822, 2048 }, { 9, 1823, 2048 }, 
+   { 5, 1824, 2048 }, { 6, 1825, 2048 }, { 6, 1826, 2048 }, { 7, 1827, 2048 }, { 6, 1828, 2048 }, { 7, 1829, 2048 }, { 7, 1830, 2048 }, { 8, 1831, 2048 }, 
+   { 6, 1832, 2048 }, { 7, 1833, 2048 }, { 7, 1834, 2048 }, { 8, 1835, 2048 }, { 7, 1836, 2048 }, { 8, 1837, 2048 }, { 8, 1838, 2048 }, { 9, 1839, 2048 }, 
+   { 6, 1840, 2048 }, { 7, 1841, 2048 }, { 7, 1842, 2048 }, { 8, 1843, 2048 }, { 7, 1844, 2048 }, { 8, 1845, 2048 }, { 8, 1846, 2048 }, { 9, 1847, 2048 }, 
+   { 7, 1848, 2048 }, { 8, 1849, 2048 }, { 8, 1850, 2048 }, { 9, 1851, 2048 }, { 8, 1852, 2048 }, { 9, 1853, 2048 }, { 9, 1854, 2048 }, { 10, 1855, 2048 }, 
+   { 5, 1856, 2048 }, { 6, 1857, 2048 }, { 6, 1858, 2048 }, { 7, 1859, 2048 }, { 6, 1860, 2048 }, { 7, 1861, 2048 }, { 7, 1862, 2048 }, { 8, 1863, 2048 }, 
+   { 6, 1864, 2048 }, { 7, 1865, 2048 }, { 7, 1866, 2048 }, { 8, 1867, 2048 }, { 7, 1868, 2048 }, { 8, 1869, 2048 }, { 8, 1870, 2048 }, { 9, 1871, 2048 }, 
+   { 6, 1872, 2048 }, { 7, 1873, 2048 }, { 7, 1874, 2048 }, { 8, 1875, 2048 }, { 7, 1876, 2048 }, { 8, 1877, 2048 }, { 8, 1878, 2048 }, { 9, 1879, 2048 }, 
+   { 7, 1880, 2048 }, { 8, 1881, 2048 }, { 8, 1882, 2048 }, { 9, 1883, 2048 }, { 8, 1884, 2048 }, { 9, 1885, 2048 }, { 9, 1886, 2048 }, { 10, 1887, 2048 }, 
+   { 6, 1888, 2048 }, { 7, 1889, 2048 }, { 7, 1890, 2048 }, { 8, 1891, 2048 }, { 7, 1892, 2048 }, { 8, 1893, 2048 }, { 8, 1894, 2048 }, { 9, 1895, 2048 }, 
+   { 7, 1896, 2048 }, { 8, 1897, 2048 }, { 8, 1898, 2048 }, { 9, 1899, 2048 }, { 8, 1900, 2048 }, { 9, 1901, 2048 }, { 9, 1902, 2048 }, { 10, 1903, 2048 }, 
+   { 7, 1904, 2048 }, { 8, 1905, 2048 }, { 8, 1906, 2048 }, { 9, 1907, 2048 }, { 8, 1908, 2048 }, { 9, 1909, 2048 }, { 9, 1910, 2048 }, { 10, 1911, 2048 }, 
+   { 8, 1912, 2048 }, { 9, 1913, 2048 }, { 9, 1914, 2048 }, { 10, 1915, 2048 }, { 9, 1916, 2048 }, { 10, 1917, 2048 }, { 10, 1918, 2048 }, { 11, 1919, 2048 }, 
+   { 5, 1920, 2048 }, { 6, 1921, 2048 }, { 6, 1922, 2048 }, { 7, 1923, 2048 }, { 6, 1924, 2048 }, { 7, 1925, 2048 }, { 7, 1926, 2048 }, { 8, 1927, 2048 }, 
+   { 6, 1928, 2048 }, { 7, 1929, 2048 }, { 7, 1930, 2048 }, { 8, 1931, 2048 }, { 7, 1932, 2048 }, { 8, 1933, 2048 }, { 8, 1934, 2048 }, { 9, 1935, 2048 }, 
+   { 6, 1936, 2048 }, { 7, 1937, 2048 }, { 7, 1938, 2048 }, { 8, 1939, 2048 }, { 7, 1940, 2048 }, { 8, 1941, 2048 }, { 8, 1942, 2048 }, { 9, 1943, 2048 }, 
+   { 7, 1944, 2048 }, { 8, 1945, 2048 }, { 8, 1946, 2048 }, { 9, 1947, 2048 }, { 8, 1948, 2048 }, { 9, 1949, 2048 }, { 9, 1950, 2048 }, { 10, 1951, 2048 }, 
+   { 6, 1952, 2048 }, { 7, 1953, 2048 }, { 7, 1954, 2048 }, { 8, 1955, 2048 }, { 7, 1956, 2048 }, { 8, 1957, 2048 }, { 8, 1958, 2048 }, { 9, 1959, 2048 }, 
+   { 7, 1960, 2048 }, { 8, 1961, 2048 }, { 8, 1962, 2048 }, { 9, 1963, 2048 }, { 8, 1964, 2048 }, { 9, 1965, 2048 }, { 9, 1966, 2048 }, { 10, 1967, 2048 }, 
+   { 7, 1968, 2048 }, { 8, 1969, 2048 }, { 8, 1970, 2048 }, { 9, 1971, 2048 }, { 8, 1972, 2048 }, { 9, 1973, 2048 }, { 9, 1974, 2048 }, { 10, 1975, 2048 }, 
+   { 8, 1976, 2048 }, { 9, 1977, 2048 }, { 9, 1978, 2048 }, { 10, 1979, 2048 }, { 9, 1980, 2048 }, { 10, 1981, 2048 }, { 10, 1982, 2048 }, { 11, 1983, 2048 }, 
+   { 6, 1984, 2048 }, { 7, 1985, 2048 }, { 7, 1986, 2048 }, { 8, 1987, 2048 }, { 7, 1988, 2048 }, { 8, 1989, 2048 }, { 8, 1990, 2048 }, { 9, 1991, 2048 }, 
+   { 7, 1992, 2048 }, { 8, 1993, 2048 }, { 8, 1994, 2048 }, { 9, 1995, 2048 }, { 8, 1996, 2048 }, { 9, 1997, 2048 }, { 9, 1998, 2048 }, { 10, 1999, 2048 }, 
+   { 7, 2000, 2048 }, { 8, 2001, 2048 }, { 8, 2002, 2048 }, { 9, 2003, 2048 }, { 8, 2004, 2048 }, { 9, 2005, 2048 }, { 9, 2006, 2048 }, { 10, 2007, 2048 }, 
+   { 8, 2008, 2048 }, { 9, 2009, 2048 }, { 9, 2010, 2048 }, { 10, 2011, 2048 }, { 9, 2012, 2048 }, { 10, 2013, 2048 }, { 10, 2014, 2048 }, { 11, 2015, 2048 }, 
+   { 7, 2016, 2048 }, { 8, 2017, 2048 }, { 8, 2018, 2048 }, { 9, 2019, 2048 }, { 8, 2020, 2048 }, { 9, 2021, 2048 }, { 9, 2022, 2048 }, { 10, 2023, 2048 }, 
+   { 8, 2024, 2048 }, { 9, 2025, 2048 }, { 9, 2026, 2048 }, { 10, 2027, 2048 }, { 9, 2028, 2048 }, { 10, 2029, 2048 }, { 10, 2030, 2048 }, { 11, 2031, 2048 }, 
+   { 8, 2032, 2048 }, { 9, 2033, 2048 }, { 9, 2034, 2048 }, { 10, 2035, 2048 }, { 9, 2036, 2048 }, { 10, 2037, 2048 }, { 10, 2038, 2048 }, { 11, 2039, 2048 }, 
+   { 9, 2040, 2048 }, { 10, 2041, 2048 }, { 10, 2042, 2048 }, { 11, 2043, 2048 }, { 10, 2044, 2048 }, { 11, 2045, 2048 }, { 11, 2046, 2048 }, { 12, 2047, 2048 }, 
+#endif
+#endif
+#endif
+#endif
+#endif
+#endif
+};
+
+/* find a hole and free as required, return -1 if no hole found */
+static int find_hole(void)
+{
+   unsigned x;
+   int      y, z;
+   for (z = -1, y = INT_MAX, x = 0; x < FP_ENTRIES; x++) {
+       if (fp_cache[x].lru_count < y && fp_cache[x].lock == 0) {
+          z = x;
+          y = fp_cache[x].lru_count;
+       }
+   }
+
+   /* decrease all */
+   for (x = 0; x < FP_ENTRIES; x++) {
+      if (fp_cache[x].lru_count > 3) {
+         --(fp_cache[x].lru_count);
+      }
+   }
+
+   /* free entry z */
+   if (z >= 0 && fp_cache[z].g) {
+      mp_clear(&fp_cache[z].mu);
+      ecc_del_point(fp_cache[z].g);
+      fp_cache[z].g  = NULL;
+      for (x = 0; x < (1U<<FP_LUT); x++) {
+         ecc_del_point(fp_cache[z].LUT[x]);
+         fp_cache[z].LUT[x] = NULL;
+      }
+      fp_cache[z].lru_count = 0;
+   }
+   return z;
+}
+
+/* determine if a base is already in the cache and if so, where */
+static int find_base(ecc_point* g)
+{
+   int x;
+   for (x = 0; x < FP_ENTRIES; x++) {
+      if (fp_cache[x].g != NULL && 
+          mp_cmp(&fp_cache[x].g->x, &g->x) == MP_EQ && 
+          mp_cmp(&fp_cache[x].g->y, &g->y) == MP_EQ && 
+          mp_cmp(&fp_cache[x].g->z, &g->z) == MP_EQ) {
+         break;
+      }
+   }
+   if (x == FP_ENTRIES) {
+      x = -1;
+   }
+   return x;
+}
+
+/* add a new base to the cache */
+static int add_entry(int idx, ecc_point *g)
+{
+   unsigned x, y;
+
+   /* allocate base and LUT */
+   fp_cache[idx].g = ecc_new_point();
+   if (fp_cache[idx].g == NULL) {
+      return GEN_MEM_ERR;
+   }
+
+   /* copy x and y */
+   if ((mp_copy(&g->x, &fp_cache[idx].g->x) != MP_OKAY) ||
+       (mp_copy(&g->y, &fp_cache[idx].g->y) != MP_OKAY) ||
+       (mp_copy(&g->z, &fp_cache[idx].g->z) != MP_OKAY)) {
+      ecc_del_point(fp_cache[idx].g);
+      fp_cache[idx].g = NULL;
+      return GEN_MEM_ERR;
+   }              
+
+   for (x = 0; x < (1U<<FP_LUT); x++) {
+      fp_cache[idx].LUT[x] = ecc_new_point();
+      if (fp_cache[idx].LUT[x] == NULL) {
+         for (y = 0; y < x; y++) {
+            ecc_del_point(fp_cache[idx].LUT[y]);
+            fp_cache[idx].LUT[y] = NULL;
+         }
+         ecc_del_point(fp_cache[idx].g);
+         fp_cache[idx].g         = NULL;
+         fp_cache[idx].lru_count = 0;
+         return GEN_MEM_ERR;
+      }
+   }
+   
+   fp_cache[idx].lru_count = 0;
+
+   return MP_OKAY;
+}
+
+/* build the LUT by spacing the bits of the input by #modulus/FP_LUT bits apart 
+ * 
+ * The algorithm builds patterns in increasing bit order by first making all 
+ * single bit input patterns, then all two bit input patterns and so on
+ */
+static int build_lut(int idx, mp_int* modulus, mp_digit* mp, mp_int* mu)
+{ 
+   unsigned x, y, err, bitlen, lut_gap;
+   mp_int tmp;
+
+   if (mp_init(&tmp) != MP_OKAY)
+       return GEN_MEM_ERR;
+
+   /* sanity check to make sure lut_order table is of correct size,
+      should compile out to a NOP if true */
+   if ((sizeof(lut_orders) / sizeof(lut_orders[0])) < (1U<<FP_LUT)) {
+       err = BAD_FUNC_ARG;
+   }
+   else {   
+    /* get bitlen and round up to next multiple of FP_LUT */
+    bitlen  = mp_unsigned_bin_size(modulus) << 3;
+    x       = bitlen % FP_LUT;
+    if (x) {
+      bitlen += FP_LUT - x;
+    }  
+    lut_gap = bitlen / FP_LUT;
+
+    /* init the mu */
+    err = mp_init_copy(&fp_cache[idx].mu, mu);
+   }
+   
+   /* copy base */
+   if (err == MP_OKAY) {
+     if ((mp_mulmod(&fp_cache[idx].g->x, mu, modulus,
+                  &fp_cache[idx].LUT[1]->x) != MP_OKAY) || 
+         (mp_mulmod(&fp_cache[idx].g->y, mu, modulus,
+                  &fp_cache[idx].LUT[1]->y) != MP_OKAY) || 
+         (mp_mulmod(&fp_cache[idx].g->z, mu, modulus,
+                  &fp_cache[idx].LUT[1]->z) != MP_OKAY)) {
+       err = MP_MULMOD_E; 
+     }
+   }
+       
+   /* make all single bit entries */
+   for (x = 1; x < FP_LUT; x++) {
+      if (err != MP_OKAY)
+          break;
+      if ((mp_copy(&fp_cache[idx].LUT[1<<(x-1)]->x,
+                   &fp_cache[idx].LUT[1<<x]->x) != MP_OKAY) || 
+          (mp_copy(&fp_cache[idx].LUT[1<<(x-1)]->y,
+                   &fp_cache[idx].LUT[1<<x]->y) != MP_OKAY) || 
+          (mp_copy(&fp_cache[idx].LUT[1<<(x-1)]->z,
+                   &fp_cache[idx].LUT[1<<x]->z) != MP_OKAY)){
+          err = MP_INIT_E;
+          break;
+      } else {
+          
+         /* now double it bitlen/FP_LUT times */
+         for (y = 0; y < lut_gap; y++) {
+             if ((err = ecc_projective_dbl_point(fp_cache[idx].LUT[1<<x],
+                            fp_cache[idx].LUT[1<<x], modulus, mp)) != MP_OKAY) {
+                 break;
+             }
+         }
+     }
+  }
+      
+   /* now make all entries in increase order of hamming weight */
+   for (x = 2; x <= FP_LUT; x++) {
+       if (err != MP_OKAY)
+           break;
+       for (y = 0; y < (1UL<<FP_LUT); y++) {
+           if (err != MP_OKAY)
+             break;
+           if (lut_orders[y].ham != (int)x) continue;
+                     
+           /* perform the add */
+           if ((err = ecc_projective_add_point(
+                           fp_cache[idx].LUT[lut_orders[y].terma],
+                           fp_cache[idx].LUT[lut_orders[y].termb],
+                           fp_cache[idx].LUT[y], modulus, mp)) != MP_OKAY) {
+              break;
+           }
+       }
+   }
+      
+   /* now map all entries back to affine space to make point addition faster */
+   for (x = 1; x < (1UL<<FP_LUT); x++) {
+       if (err != MP_OKAY)
+           break;
+
+       /* convert z to normal from montgomery */
+       err = mp_montgomery_reduce(&fp_cache[idx].LUT[x]->z, modulus, *mp);
+ 
+       /* invert it */
+       if (err == MP_OKAY)
+         err = mp_invmod(&fp_cache[idx].LUT[x]->z, modulus,
+                         &fp_cache[idx].LUT[x]->z);
+
+       if (err == MP_OKAY)
+         /* now square it */
+         err = mp_sqrmod(&fp_cache[idx].LUT[x]->z, modulus, &tmp);
+       
+       if (err == MP_OKAY)
+         /* fix x */
+         err = mp_mulmod(&fp_cache[idx].LUT[x]->x, &tmp, modulus,
+                         &fp_cache[idx].LUT[x]->x);
+
+       if (err == MP_OKAY)
+         /* get 1/z^3 */
+         err = mp_mulmod(&tmp, &fp_cache[idx].LUT[x]->z, modulus, &tmp);
+
+       if (err == MP_OKAY)
+         /* fix y */
+         err = mp_mulmod(&fp_cache[idx].LUT[x]->y, &tmp, modulus,
+                         &fp_cache[idx].LUT[x]->y);
+
+       if (err == MP_OKAY)
+         /* free z */
+         mp_clear(&fp_cache[idx].LUT[x]->z);
+   }
+   mp_clear(&tmp);
+
+   if (err == MP_OKAY)
+     return MP_OKAY;
+
+   /* err cleanup */
+   for (y = 0; y < (1U<<FP_LUT); y++) {
+      ecc_del_point(fp_cache[idx].LUT[y]);
+      fp_cache[idx].LUT[y] = NULL;
+   }
+   ecc_del_point(fp_cache[idx].g);
+   fp_cache[idx].g         = NULL;
+   fp_cache[idx].lru_count = 0;
+   mp_clear(&fp_cache[idx].mu);
+   mp_clear(&tmp);
+
+   return err;
+}
+
+/* perform a fixed point ECC mulmod */
+static int accel_fp_mul(int idx, mp_int* k, ecc_point *R, mp_int* modulus,
+                        mp_digit* mp, int map)
+{
+   unsigned char kb[128];
+   int      x;
+   unsigned y, z, err, bitlen, bitpos, lut_gap, first;
+   mp_int   tk;
+
+   if (mp_init(&tk) != MP_OKAY)
+       return MP_INIT_E;
+
+   /* if it's smaller than modulus we fine */
+   if (mp_unsigned_bin_size(k) > mp_unsigned_bin_size(modulus)) {
+      mp_int order;
+      if (mp_init(&order) != MP_OKAY) {
+        mp_clear(&tk);
+        return MP_INIT_E;
+      }
+
+      /* find order */
+      y = mp_unsigned_bin_size(modulus);
+      for (x = 0; ecc_sets[x].size; x++) {
+         if (y <= (unsigned)ecc_sets[x].size) break;
+      }
+   
+      /* back off if we are on the 521 bit curve */
+      if (y == 66) --x;
+      
+      if ((err = mp_read_radix(&order, ecc_sets[x].order, 16)) != MP_OKAY) {
+         mp_clear(&order);
+         mp_clear(&tk);
+         return err;
+      }
+
+      /* k must be less than modulus */
+      if (mp_cmp(k, &order) != MP_LT) {
+         if ((err = mp_mod(k, &order, &tk)) != MP_OKAY) {
+            mp_clear(&tk);
+            mp_clear(&order);
+            return err;
+         }
+      } else {
+         mp_copy(k, &tk);
+      }
+      mp_clear(&order);
+   } else {
+      mp_copy(k, &tk);
+   }       
+   
+   /* get bitlen and round up to next multiple of FP_LUT */
+   bitlen  = mp_unsigned_bin_size(modulus) << 3;
+   x       = bitlen % FP_LUT;
+   if (x) {
+      bitlen += FP_LUT - x;
+   }  
+   lut_gap = bitlen / FP_LUT;
+        
+   /* get the k value */
+   if (mp_unsigned_bin_size(&tk) > (int)(sizeof(kb) - 2)) {
+      mp_clear(&tk);
+      return BUFFER_E;
+   }
+   
+   /* store k */
+   XMEMSET(kb, 0, sizeof(kb));
+   if ((err = mp_to_unsigned_bin(&tk, kb)) != MP_OKAY) {
+      mp_clear(&tk);
+      return err;
+   }
+   
+   /* let's reverse kb so it's little endian */
+   x = 0;
+   y = mp_unsigned_bin_size(&tk) - 1;
+   mp_clear(&tk);
+
+   while ((unsigned)x < y) {
+      z = kb[x]; kb[x] = kb[y]; kb[y] = z;
+      ++x; --y;
+   }      
+   
+   /* at this point we can start, yipee */
+   first = 1;
+   for (x = lut_gap-1; x >= 0; x--) {
+       /* extract FP_LUT bits from kb spread out by lut_gap bits and offset
+          by x bits from the start */
+       bitpos = x;
+       for (y = z = 0; y < FP_LUT; y++) {
+          z |= ((kb[bitpos>>3] >> (bitpos&7)) & 1) << y;
+          bitpos += lut_gap;  /* it's y*lut_gap + x, but here we can avoid
+                                 the mult in each loop */
+       }
+              
+       /* double if not first */
+       if (!first) {
+          if ((err = ecc_projective_dbl_point(R, R, modulus, mp)) != MP_OKAY) {
+             return err;
+          }
+       }
+       
+       /* add if not first, otherwise copy */          
+       if (!first && z) {
+          if ((err = ecc_projective_add_point(R, fp_cache[idx].LUT[z], R,
+                                              modulus, mp)) != MP_OKAY) {
+             return err;
+          }
+       } else if (z) {
+          if ((mp_copy(&fp_cache[idx].LUT[z]->x, &R->x) != MP_OKAY) || 
+              (mp_copy(&fp_cache[idx].LUT[z]->y, &R->y) != MP_OKAY) || 
+              (mp_copy(&fp_cache[idx].mu,        &R->z) != MP_OKAY)) {
+              return GEN_MEM_ERR;
+          }
+              first = 0;              
+       }
+   }     
+   z = 0;
+   XMEMSET(kb, 0, sizeof(kb));
+   /* map R back from projective space */
+   if (map) {
+      err = ecc_map(R, modulus, mp);
+   } else {
+      err = MP_OKAY;
+   }
+
+   return err;
+}
+
+#ifdef ECC_SHAMIR
+/* perform a fixed point ECC mulmod */
+static int accel_fp_mul2add(int idx1, int idx2, 
+                            mp_int* kA, mp_int* kB,
+                            ecc_point *R, mp_int* modulus, mp_digit* mp)
+{
+   unsigned char kb[2][128];
+   int      x;
+   unsigned y, z, err, bitlen, bitpos, lut_gap, first, zA, zB;
+   mp_int tka;
+   mp_int tkb;
+   mp_int order;
+
+   if (mp_init_multi(&tka, &tkb, 0, 0, 0, 0) != MP_OKAY)
+       return MP_INIT_E;
+
+   /* if it's smaller than modulus we fine */
+   if (mp_unsigned_bin_size(kA) > mp_unsigned_bin_size(modulus)) {
+      /* find order */
+      y = mp_unsigned_bin_size(modulus);
+      for (x = 0; ecc_sets[x].size; x++) {
+         if (y <= (unsigned)ecc_sets[x].size) break;
+      }
+   
+      /* back off if we are on the 521 bit curve */
+      if (y == 66) --x;
+      
+      if ((err = mp_init(&order)) != MP_OKAY) {
+         mp_clear(&tkb);
+         mp_clear(&tka);
+         return err;
+      }      
+      if ((err = mp_read_radix(&order, ecc_sets[x].order, 16)) != MP_OKAY) {
+         mp_clear(&tkb);
+         mp_clear(&tka);
+         mp_clear(&order);
+         return err;
+      }
+
+      /* kA must be less than modulus */
+      if (mp_cmp(kA, &order) != MP_LT) {
+         if ((err = mp_mod(kA, &order, &tka)) != MP_OKAY) {
+            mp_clear(&tkb);
+            mp_clear(&tka);
+            mp_clear(&order);
+            return err;
+         }
+      } else {
+         mp_copy(kA, &tka);
+      }
+      mp_clear(&order);
+   } else {
+      mp_copy(kA, &tka);
+   }       
+
+   /* if it's smaller than modulus we fine */
+   if (mp_unsigned_bin_size(kB) > mp_unsigned_bin_size(modulus)) {
+      /* find order */
+      y = mp_unsigned_bin_size(modulus);
+      for (x = 0; ecc_sets[x].size; x++) {
+         if (y <= (unsigned)ecc_sets[x].size) break;
+      }
+   
+      /* back off if we are on the 521 bit curve */
+      if (y == 66) --x;
+      
+      if ((err = mp_init(&order)) != MP_OKAY) {
+         mp_clear(&tkb);
+         mp_clear(&tka);
+         return err;
+      }      
+      if ((err = mp_read_radix(&order, ecc_sets[x].order, 16)) != MP_OKAY) {
+         mp_clear(&tkb);
+         mp_clear(&tka);
+         mp_clear(&order);
+         return err;
+      }
+
+      /* kB must be less than modulus */
+      if (mp_cmp(kB, &order) != MP_LT) {
+         if ((err = mp_mod(kB, &order, &tkb)) != MP_OKAY) {
+            mp_clear(&tkb);
+            mp_clear(&tka);
+            mp_clear(&order);
+            return err;
+         }
+      } else {
+         mp_copy(kB, &tkb);
+      }
+      mp_clear(&order);
+   } else {
+      mp_copy(kB, &tkb);
+   }     
+
+   /* get bitlen and round up to next multiple of FP_LUT */
+   bitlen  = mp_unsigned_bin_size(modulus) << 3;
+   x       = bitlen % FP_LUT;
+   if (x) {
+      bitlen += FP_LUT - x;
+   }  
+   lut_gap = bitlen / FP_LUT;
+        
+   /* get the k value */
+   if ((mp_unsigned_bin_size(&tka) > (int)(sizeof(kb[0]) - 2)) ||
+       (mp_unsigned_bin_size(&tkb) > (int)(sizeof(kb[0]) - 2))  ) {
+      mp_clear(&tka);
+      mp_clear(&tkb);
+      return BUFFER_E;
+   }
+   
+   /* store k */
+   XMEMSET(kb, 0, sizeof(kb));
+   if ((err = mp_to_unsigned_bin(&tka, kb[0])) != MP_OKAY) {
+      mp_clear(&tka);
+      mp_clear(&tkb);
+      return err;
+   }
+   
+   /* let's reverse kb so it's little endian */
+   x = 0;
+   y = mp_unsigned_bin_size(&tka) - 1;
+   mp_clear(&tka);
+   while ((unsigned)x < y) {
+      z = kb[0][x]; kb[0][x] = kb[0][y]; kb[0][y] = z;
+      ++x; --y;
+   }      
+   
+   /* store b */
+   if ((err = mp_to_unsigned_bin(&tkb, kb[1])) != MP_OKAY) {
+      mp_clear(&tkb);
+      return err;
+   }
+
+   x = 0;
+   y = mp_unsigned_bin_size(&tkb) - 1;
+   mp_clear(&tkb);
+   while ((unsigned)x < y) {
+      z = kb[1][x]; kb[1][x] = kb[1][y]; kb[1][y] = z;
+      ++x; --y;
+   }      
+
+   /* at this point we can start, yipee */
+   first = 1;
+   for (x = lut_gap-1; x >= 0; x--) {
+       /* extract FP_LUT bits from kb spread out by lut_gap bits and
+          offset by x bits from the start */
+       bitpos = x;
+       for (y = zA = zB = 0; y < FP_LUT; y++) {
+          zA |= ((kb[0][bitpos>>3] >> (bitpos&7)) & 1) << y;
+          zB |= ((kb[1][bitpos>>3] >> (bitpos&7)) & 1) << y;
+          bitpos += lut_gap;    /* it's y*lut_gap + x, but here we can avoid
+                                   the mult in each loop */
+       }
+              
+       /* double if not first */
+       if (!first) {
+          if ((err = ecc_projective_dbl_point(R, R, modulus, mp)) != MP_OKAY) {
+             return err;
+          }
+       }
+       
+       /* add if not first, otherwise copy */          
+       if (!first) {
+          if (zA) {
+             if ((err = ecc_projective_add_point(R, fp_cache[idx1].LUT[zA],
+                                                 R, modulus, mp)) != MP_OKAY) {
+                return err;
+             }
+          }
+          if (zB) {
+             if ((err = ecc_projective_add_point(R, fp_cache[idx2].LUT[zB],
+                                                 R, modulus, mp)) != MP_OKAY) {
+                return err;
+             }
+          }
+       } else {
+          if (zA) {
+              if ((mp_copy(&fp_cache[idx1].LUT[zA]->x, &R->x) != MP_OKAY) || 
+                 (mp_copy(&fp_cache[idx1].LUT[zA]->y, &R->y) != MP_OKAY) || 
+                 (mp_copy(&fp_cache[idx1].mu,        &R->z) != MP_OKAY)) {
+                  return GEN_MEM_ERR;
+              }
+                 first = 0;              
+          }
+          if (zB && first == 0) {
+             if (zB) {
+                if ((err = ecc_projective_add_point(R, fp_cache[idx2].LUT[zB],
+                                                   R, modulus, mp)) != MP_OKAY){
+                   return err;
+                }
+             }
+          } else if (zB && first == 1) {
+              if ((mp_copy(&fp_cache[idx2].LUT[zB]->x, &R->x) != MP_OKAY) || 
+                 (mp_copy(&fp_cache[idx2].LUT[zB]->y, &R->y) != MP_OKAY) || 
+                 (mp_copy(&fp_cache[idx2].mu,        &R->z) != MP_OKAY)) {
+                  return GEN_MEM_ERR;
+              }
+                 first = 0;              
+          }
+       }
+   }     
+   XMEMSET(kb, 0, sizeof(kb));
+
+   return ecc_map(R, modulus, mp);
+}
+
+/** ECC Fixed Point mulmod global
+  Computes kA*A + kB*B = C using Shamir's Trick
+  A        First point to multiply
+  kA       What to multiple A by
+  B        Second point to multiply
+  kB       What to multiple B by
+  C        [out] Destination point (can overlap with A or B)
+  modulus  Modulus for curve 
+  return MP_OKAY on success
+*/ 
+int ecc_mul2add(ecc_point* A, mp_int* kA,
+                ecc_point* B, mp_int* kB,
+                ecc_point* C, mp_int* modulus)
+{
+   int  idx1 = -1, idx2 = -1, err = MP_OKAY, mpInit = 0;
+   mp_digit mp;
+   mp_int   mu;
+  
+   err = mp_init(&mu);
+   if (err != MP_OKAY)
+       return err;
+
+#ifndef HAVE_THREAD_LS
+   if (initMutex == 0) {
+        InitMutex(&ecc_fp_lock);
+        initMutex = 1;
+   }
+   if (LockMutex(&ecc_fp_lock) != 0)
+      return BAD_MUTEX_E;
+#endif /* HAVE_THREAD_LS */
+
+      /* find point */
+      idx1 = find_base(A);
+
+      /* no entry? */
+      if (idx1 == -1) {
+         /* find hole and add it */
+         if ((idx1 = find_hole()) >= 0) {
+            err = add_entry(idx1, A);
+         }
+      }
+      if (err == MP_OKAY && idx1 != -1) {
+         /* increment LRU */
+         ++(fp_cache[idx1].lru_count);
+      }
+
+      if (err == MP_OKAY)
+        /* find point */
+        idx2 = find_base(B);
+
+      if (err == MP_OKAY) {
+        /* no entry? */
+        if (idx2 == -1) {
+           /* find hole and add it */
+           if ((idx2 = find_hole()) >= 0)
+              err = add_entry(idx2, B);
+         }
+      }
+
+      if (err == MP_OKAY && idx2 != -1) {
+         /* increment LRU */
+         ++(fp_cache[idx2].lru_count);
+      }
+
+      if (err == MP_OKAY) {
+        /* if it's 2 build the LUT, if it's higher just use the LUT */
+        if (idx1 >= 0 && fp_cache[idx1].lru_count == 2) {
+           /* compute mp */
+           err = mp_montgomery_setup(modulus, &mp);
+
+           if (err == MP_OKAY) {
+             mpInit = 1;
+             err = mp_montgomery_calc_normalization(&mu, modulus);
+           }
+                 
+           if (err == MP_OKAY)
+             /* build the LUT */
+               err = build_lut(idx1, modulus, &mp, &mu);
+        }
+      }
+
+      if (err == MP_OKAY) {
+        /* if it's 2 build the LUT, if it's higher just use the LUT */
+        if (idx2 >= 0 && fp_cache[idx2].lru_count == 2) {
+           if (mpInit == 0) {
+                /* compute mp */
+                err = mp_montgomery_setup(modulus, &mp);
+                if (err == MP_OKAY) {
+                    mpInit = 1;
+                    err = mp_montgomery_calc_normalization(&mu, modulus);
+                }
+            }
+                 
+            if (err == MP_OKAY) 
+            /* build the LUT */
+              err = build_lut(idx2, modulus, &mp, &mu);
+        }
+      }
+
+
+      if (err == MP_OKAY) {
+        if (idx1 >=0 && idx2 >= 0 && fp_cache[idx1].lru_count >= 2 &&
+                                     fp_cache[idx2].lru_count >= 2) {
+           if (mpInit == 0) {
+              /* compute mp */
+              err = mp_montgomery_setup(modulus, &mp);
+           }
+           if (err == MP_OKAY)
+             err = accel_fp_mul2add(idx1, idx2, kA, kB, C, modulus, &mp);
+        } else {
+           err = normal_ecc_mul2add(A, kA, B, kB, C, modulus);
+        }
+    }
+
+#ifndef HAVE_THREAD_LS
+    UnLockMutex(&ecc_fp_lock);
+#endif /* HAVE_THREAD_LS */
+    mp_clear(&mu);
+
+    return err;
+}
+#endif
+
+/** ECC Fixed Point mulmod global
+    k        The multiplicand
+    G        Base point to multiply
+    R        [out] Destination of product
+    modulus  The modulus for the curve
+    map      [boolean] If non-zero maps the point back to affine co-ordinates,
+             otherwise it's left in jacobian-montgomery form
+    return MP_OKAY if successful
+*/   
+int ecc_mulmod(mp_int* k, ecc_point *G, ecc_point *R, mp_int* modulus,
+               int map)
+{
+   int   idx, err = MP_OKAY;
+   mp_digit mp;
+   mp_int   mu;
+   int      mpSetup = 0;
+
+   if (mp_init(&mu) != MP_OKAY)
+       return MP_INIT_E;
+   
+#ifndef HAVE_THREAD_LS
+   if (initMutex == 0) {
+        InitMutex(&ecc_fp_lock);
+        initMutex = 1;
+   }
+   
+   if (LockMutex(&ecc_fp_lock) != 0)
+      return BAD_MUTEX_E;
+#endif /* HAVE_THREAD_LS */
+
+      /* find point */
+      idx = find_base(G);
+
+      /* no entry? */
+      if (idx == -1) {
+         /* find hole and add it */
+         idx = find_hole();
+
+         if (idx >= 0)
+            err = add_entry(idx, G);
+      }
+      if (err == MP_OKAY && idx != -1) {
+         /* increment LRU */
+         ++(fp_cache[idx].lru_count);
+      }
+
+
+      if (err == MP_OKAY) { 
+        /* if it's 2 build the LUT, if it's higher just use the LUT */
+        if (idx >= 0 && fp_cache[idx].lru_count == 2) {
+           /* compute mp */
+           err = mp_montgomery_setup(modulus, &mp);
+
+           if (err == MP_OKAY) {
+             /* compute mu */
+             mpSetup = 1;
+             err = mp_montgomery_calc_normalization(&mu, modulus);
+           }
+                 
+           if (err == MP_OKAY) 
+             /* build the LUT */
+             err = build_lut(idx, modulus, &mp, &mu);
+        }
+      }
+
+      if (err == MP_OKAY) { 
+        if (idx >= 0 && fp_cache[idx].lru_count >= 2) {
+           if (mpSetup == 0) {
+              /* compute mp */
+              err = mp_montgomery_setup(modulus, &mp);
+           }
+           if (err == MP_OKAY)
+             err = accel_fp_mul(idx, k, R, modulus, &mp, map);
+        } else {
+           err = normal_ecc_mulmod(k, G, R, modulus, map);
+        }
+     }
+
+#ifndef HAVE_THREAD_LS
+    UnLockMutex(&ecc_fp_lock);
+#endif /* HAVE_THREAD_LS */
+    mp_clear(&mu);
+
+    return err;
+}
+
+/* helper function for freeing the cache ...
+   must be called with the cache mutex locked */
+static void ecc_fp_free_cache(void)
+{
+   unsigned x, y;
+   for (x = 0; x < FP_ENTRIES; x++) {
+      if (fp_cache[x].g != NULL) {
+         for (y = 0; y < (1U<<FP_LUT); y++) {
+            ecc_del_point(fp_cache[x].LUT[y]);
+            fp_cache[x].LUT[y] = NULL;
+         }
+         ecc_del_point(fp_cache[x].g);
+         fp_cache[x].g         = NULL;
+         mp_clear(&fp_cache[x].mu);
+         fp_cache[x].lru_count = 0;
+         fp_cache[x].lock = 0;
+      }         
+   }
+}         
+
+/** Free the Fixed Point cache */
+void ecc_fp_free(void)
+{
+#ifndef HAVE_THREAD_LS
+   if (initMutex == 0) {
+        InitMutex(&ecc_fp_lock);
+        initMutex = 1;
+   }
+   
+   if (LockMutex(&ecc_fp_lock) == 0) {
+#endif /* HAVE_THREAD_LS */
+
+       ecc_fp_free_cache();
+
+#ifndef HAVE_THREAD_LS
+       UnLockMutex(&ecc_fp_lock);
+       FreeMutex(&ecc_fp_lock);
+       initMutex = 0;
+   }
+#endif /* HAVE_THREAD_LS */
+}
+
+
+#endif /* FP_ECC */
+
+#ifdef HAVE_ECC_ENCRYPT
+
+
+enum ecCliState {
+    ecCLI_INIT      = 1,    
+    ecCLI_SALT_GET  = 2,    
+    ecCLI_SALT_SET  = 3,    
+    ecCLI_SENT_REQ  = 4,    
+    ecCLI_RECV_RESP = 5,    
+    ecCLI_BAD_STATE = 99    
+};
+
+enum ecSrvState {
+    ecSRV_INIT      = 1,    
+    ecSRV_SALT_GET  = 2,    
+    ecSRV_SALT_SET  = 3,    
+    ecSRV_RECV_REQ  = 4,    
+    ecSRV_SENT_RESP = 5,    
+    ecSRV_BAD_STATE = 99    
+};
+
+
+struct ecEncCtx {
+    byte*     kdfSalt;     /* optional salt for kdf */
+    byte*     kdfInfo;     /* optional info for kdf */
+    byte*     macSalt;     /* optional salt for mac */
+    word32    kdfSaltSz;   /* size of kdfSalt */
+    word32    kdfInfoSz;   /* size of kdfInfo */
+    word32    macSaltSz;   /* size of macSalt */
+    byte      clientSalt[EXCHANGE_SALT_SZ];  /* for msg exchange */
+    byte      serverSalt[EXCHANGE_SALT_SZ];  /* for msg exchange */
+    byte      encAlgo;     /* which encryption type */
+    byte      kdfAlgo;     /* which key derivation function type */
+    byte      macAlgo;     /* which mac function type */
+    byte      protocol;    /* are we REQ_RESP client or server ? */
+    byte      cliSt;       /* protocol state, for sanity checks */
+    byte      srvSt;       /* protocol state, for sanity checks */
+};
+
+
+const byte* ecc_ctx_get_own_salt(ecEncCtx* ctx)
+{
+    if (ctx == NULL || ctx->protocol == 0)
+        return NULL;
+
+    if (ctx->protocol == REQ_RESP_CLIENT) {
+        if (ctx->cliSt == ecCLI_INIT) {
+            ctx->cliSt =  ecCLI_SALT_GET;
+            return ctx->clientSalt;
+        }
+        else {
+            ctx->cliSt = ecCLI_BAD_STATE;
+            return NULL;
+        }
+    }
+    else if (ctx->protocol == REQ_RESP_SERVER) {
+        if (ctx->srvSt == ecSRV_INIT) {
+            ctx->srvSt =  ecSRV_SALT_GET;
+            return ctx->serverSalt;
+        }
+        else {
+            ctx->srvSt = ecSRV_BAD_STATE;
+            return NULL;
+        }
+    }
+
+    return NULL;
+}
+
+
+static const char* exchange_info = "Secure Message Exchange";
+
+int ecc_ctx_set_peer_salt(ecEncCtx* ctx, const byte* salt)
+{
+    byte tmp[EXCHANGE_SALT_SZ/2];
+    int  halfSz = EXCHANGE_SALT_SZ/2;
+
+    if (ctx == NULL || ctx->protocol == 0 || salt == NULL)
+        return BAD_FUNC_ARG;
+
+    if (ctx->protocol == REQ_RESP_CLIENT) {
+        XMEMCPY(ctx->serverSalt, salt, EXCHANGE_SALT_SZ);
+        if (ctx->cliSt == ecCLI_SALT_GET)
+            ctx->cliSt =  ecCLI_SALT_SET;
+        else {
+            ctx->cliSt =  ecCLI_BAD_STATE;
+            return BAD_ENC_STATE_E;
+        }
+    }
+    else {
+        XMEMCPY(ctx->clientSalt, salt, EXCHANGE_SALT_SZ);
+        if (ctx->srvSt == ecSRV_SALT_GET)
+            ctx->srvSt =  ecSRV_SALT_SET;
+        else {
+            ctx->srvSt =  ecSRV_BAD_STATE;
+            return BAD_ENC_STATE_E;
+        }
+    }
+
+    /* mix half and half */
+    /* tmp stores 2nd half of client before overwrite */
+    XMEMCPY(tmp, ctx->clientSalt + halfSz, halfSz);
+    XMEMCPY(ctx->clientSalt + halfSz, ctx->serverSalt, halfSz);
+    XMEMCPY(ctx->serverSalt, tmp, halfSz);
+
+    ctx->kdfSalt   = ctx->clientSalt;
+    ctx->kdfSaltSz = EXCHANGE_SALT_SZ;
+
+    ctx->macSalt   = ctx->serverSalt;
+    ctx->macSaltSz = EXCHANGE_SALT_SZ;
+
+    ctx->kdfInfo   = (byte*)exchange_info;
+    ctx->kdfInfoSz = EXCHANGE_INFO_SZ;
+
+    return 0;
+}
+
+
+static int ecc_ctx_set_salt(ecEncCtx* ctx, int flags, RNG* rng)
+{
+    byte* saltBuffer = NULL;
+
+    if (ctx == NULL || rng == NULL || flags == 0) 
+        return BAD_FUNC_ARG;
+
+    saltBuffer = (flags == REQ_RESP_CLIENT) ? ctx->clientSalt : ctx->serverSalt;
+    RNG_GenerateBlock(rng, saltBuffer, EXCHANGE_SALT_SZ);
+
+    return 0;
+}
+
+
+static void ecc_ctx_init(ecEncCtx* ctx, int flags)
+{
+    if (ctx) {
+        XMEMSET(ctx, 0, sizeof(ecEncCtx));
+
+        ctx->encAlgo  = ecAES_128_CBC;
+        ctx->kdfAlgo  = ecHKDF_SHA256;
+        ctx->macAlgo  = ecHMAC_SHA256;
+        ctx->protocol = (byte)flags;
+
+        if (flags == REQ_RESP_CLIENT)
+            ctx->cliSt = ecCLI_INIT;
+        if (flags == REQ_RESP_SERVER)
+            ctx->srvSt = ecSRV_INIT;
+    }
+}
+
+
+/* allow ecc context reset so user doesn't have to init/free for resue */
+int ecc_ctx_reset(ecEncCtx* ctx, RNG* rng)
+{
+    if (ctx == NULL || rng == NULL)
+        return BAD_FUNC_ARG;
+
+    ecc_ctx_init(ctx, ctx->protocol);
+    return ecc_ctx_set_salt(ctx, ctx->protocol, rng);
+}
+
+
+/* alloc/init and set defaults, return new Context  */
+ecEncCtx* ecc_ctx_new(int flags, RNG* rng)
+{
+    int       ret = 0;
+    ecEncCtx* ctx = (ecEncCtx*)XMALLOC(sizeof(ecEncCtx), 0, DYNAMIC_TYPE_ECC);
+
+    if (ctx)
+        ctx->protocol = (byte)flags;
+
+    ret = ecc_ctx_reset(ctx, rng);
+    if (ret != 0) {
+        ecc_ctx_free(ctx);
+        ctx = NULL;
+    }
+
+    return ctx;
+}
+
+
+/* free any resources, clear any keys */
+void ecc_ctx_free(ecEncCtx* ctx)
+{
+    if (ctx) {
+        XMEMSET(ctx, 0, sizeof(ecEncCtx));
+        XFREE(ctx, 0, DYNAMIC_TYPE_ECC);
+    }
+}
+
+
+static int ecc_get_key_sizes(ecEncCtx* ctx, int* encKeySz, int* ivSz,
+                             int* keysLen, word32* digestSz, word32* blockSz)
+{
+    if (ctx) {
+        switch (ctx->encAlgo) {
+            case ecAES_128_CBC:
+                *encKeySz = KEY_SIZE_128;
+                *ivSz     = IV_SIZE_64;
+                *blockSz  = AES_BLOCK_SIZE;
+                break;
+            default:
+                return BAD_FUNC_ARG;
+        }
+
+        switch (ctx->macAlgo) {
+            case ecHMAC_SHA256:
+                *digestSz = SHA256_DIGEST_SIZE;
+                break;
+            default:
+                return BAD_FUNC_ARG;
+        }
+    } else
+        return BAD_FUNC_ARG;
+
+    *keysLen  = *encKeySz + *ivSz + *digestSz;
+
+    return 0;
+}
+
+
+/* ecc encrypt with shared secret run through kdf
+   ctx holds non default algos and inputs
+   msgSz should be the right size for encAlgo, i.e., already padded 
+   return 0 on success */
+int ecc_encrypt(ecc_key* privKey, ecc_key* pubKey, const byte* msg,
+                word32 msgSz, byte* out, word32* outSz, ecEncCtx* ctx)
+{
+    int          ret;
+    word32       blockSz;
+    word32       digestSz;
+    ecEncCtx     localCtx;
+    byte         sharedSecret[ECC_MAXSIZE];  /* 521 max size */
+    byte         keys[ECC_BUFSIZE];         /* max size */
+    word32       sharedSz = sizeof(sharedSecret);
+    int          keysLen;
+    int          encKeySz;
+    int          ivSz;
+    int          offset = 0;         /* keys offset if doing msg exchange */
+    byte*        encKey;
+    byte*        encIv;
+    byte*        macKey;
+
+    if (privKey == NULL || pubKey == NULL || msg == NULL || out == NULL ||
+                           outSz  == NULL)
+        return BAD_FUNC_ARG;
+
+    if (ctx == NULL) {  /* use defaults */
+        ecc_ctx_init(&localCtx, 0);
+        ctx = &localCtx;  
+    }
+        
+    ret = ecc_get_key_sizes(ctx, &encKeySz, &ivSz, &keysLen, &digestSz,
+                            &blockSz);
+    if (ret != 0)
+        return ret;
+
+    if (ctx->protocol == REQ_RESP_SERVER) {
+        offset = keysLen;
+        keysLen *= 2;
+
+        if (ctx->srvSt != ecSRV_RECV_REQ)
+            return BAD_ENC_STATE_E;
+
+        ctx->srvSt = ecSRV_BAD_STATE; /* we're done no more ops allowed */
+    }
+    else if (ctx->protocol == REQ_RESP_CLIENT) {
+        if (ctx->cliSt != ecCLI_SALT_SET)
+            return BAD_ENC_STATE_E;
+
+        ctx->cliSt = ecCLI_SENT_REQ; /* only do this once */
+    }
+        
+    if (keysLen > (int)sizeof(keys))
+        return BUFFER_E;
+        
+    if ( (msgSz%blockSz) != 0)
+        return BAD_PADDING_E;
+
+    if (*outSz < (msgSz + digestSz))
+        return BUFFER_E;
+
+    ret = ecc_shared_secret(privKey, pubKey, sharedSecret, &sharedSz); 
+    if (ret != 0)
+        return ret;
+
+    switch (ctx->kdfAlgo) {
+        case ecHKDF_SHA256 :
+                ret = HKDF(SHA256, sharedSecret, sharedSz, ctx->kdfSalt,
+                           ctx->kdfSaltSz, ctx->kdfInfo,
+                           ctx->kdfInfoSz, keys, keysLen);
+                if (ret != 0)
+                    return ret;
+            break;
+
+        default:
+            return BAD_FUNC_ARG;
+    }
+
+    encKey = keys + offset;
+    encIv  = encKey + encKeySz;
+    macKey = encKey + encKeySz + ivSz;
+
+    switch (ctx->encAlgo) {
+        case ecAES_128_CBC:
+            {
+                Aes aes;
+                ret = AesSetKey(&aes, encKey,KEY_SIZE_128,encIv,AES_ENCRYPTION);
+                if (ret != 0)
+                    return ret;
+                ret = AesCbcEncrypt(&aes, out, msg, msgSz);
+                if (ret != 0)
+                    return ret;
+            }
+            break;
+
+        default:
+            return BAD_FUNC_ARG;
+    }
+
+    switch (ctx->macAlgo) {
+        case ecHMAC_SHA256:
+            {
+                Hmac hmac;
+                ret = HmacSetKey(&hmac, SHA256, macKey, SHA256_DIGEST_SIZE);
+                if (ret != 0)
+                    return ret;
+                HmacUpdate(&hmac, out, msgSz);
+                HmacUpdate(&hmac, ctx->macSalt, ctx->macSaltSz);
+                HmacFinal(&hmac, out+msgSz);
+            }
+            break;
+
+        default:
+            return BAD_FUNC_ARG;
+    }
+
+    *outSz = msgSz + digestSz;
+
+    return 0;
+}
+
+
+/* ecc decrypt with shared secret run through kdf
+   ctx holds non default algos and inputs
+   return 0 on success */
+int ecc_decrypt(ecc_key* privKey, ecc_key* pubKey, const byte* msg,
+                word32 msgSz, byte* out, word32* outSz, ecEncCtx* ctx)
+{
+    int          ret;
+    word32       blockSz;
+    word32       digestSz;
+    ecEncCtx     localCtx;
+    byte         sharedSecret[ECC_MAXSIZE];  /* 521 max size */
+    byte         keys[ECC_BUFSIZE];         /* max size */
+    word32       sharedSz = sizeof(sharedSecret);
+    int          keysLen;
+    int          encKeySz;
+    int          ivSz;
+    int          offset = 0;       /* in case using msg exchange */
+    byte*        encKey;
+    byte*        encIv;
+    byte*        macKey;
+
+    if (privKey == NULL || pubKey == NULL || msg == NULL || out == NULL ||
+                           outSz  == NULL)
+        return BAD_FUNC_ARG;
+
+    if (ctx == NULL) {  /* use defaults */
+        ecc_ctx_init(&localCtx, 0);
+        ctx = &localCtx;  
+    }
+        
+    ret = ecc_get_key_sizes(ctx, &encKeySz, &ivSz, &keysLen, &digestSz,
+                            &blockSz);
+    if (ret != 0)
+        return ret;
+        
+    if (ctx->protocol == REQ_RESP_CLIENT) {
+        offset = keysLen;
+        keysLen *= 2;
+
+        if (ctx->cliSt != ecCLI_SENT_REQ)
+            return BAD_ENC_STATE_E;
+
+        ctx->cliSt = ecSRV_BAD_STATE; /* we're done no more ops allowed */
+    }
+    else if (ctx->protocol == REQ_RESP_SERVER) {
+        if (ctx->srvSt != ecSRV_SALT_SET)
+            return BAD_ENC_STATE_E;
+
+        ctx->srvSt = ecSRV_RECV_REQ; /* only do this once */
+    }
+        
+    if (keysLen > (int)sizeof(keys))
+        return BUFFER_E;
+        
+    if ( ((msgSz-digestSz) % blockSz) != 0)
+        return BAD_PADDING_E;
+
+    if (*outSz < (msgSz - digestSz))
+        return BUFFER_E;
+
+    ret = ecc_shared_secret(privKey, pubKey, sharedSecret, &sharedSz); 
+    if (ret != 0)
+        return ret;
+
+    switch (ctx->kdfAlgo) {
+        case ecHKDF_SHA256 :
+                ret = HKDF(SHA256, sharedSecret, sharedSz, ctx->kdfSalt,
+                           ctx->kdfSaltSz, ctx->kdfInfo,
+                           ctx->kdfInfoSz, keys, keysLen);
+                if (ret != 0)
+                    return ret;
+            break;
+
+        default:
+            return BAD_FUNC_ARG;
+    }
+
+    encKey = keys + offset;
+    encIv  = encKey + encKeySz;
+    macKey = encKey + encKeySz + ivSz;
+
+    switch (ctx->macAlgo) {
+        case ecHMAC_SHA256:
+            {
+                byte verify[SHA256_DIGEST_SIZE];
+                Hmac hmac;
+                ret = HmacSetKey(&hmac, SHA256, macKey, SHA256_DIGEST_SIZE);
+                if (ret != 0)
+                    return ret;
+                HmacUpdate(&hmac, msg, msgSz-digestSz);
+                HmacUpdate(&hmac, ctx->macSalt, ctx->macSaltSz);
+                HmacFinal(&hmac, verify);
+
+                if (memcmp(verify, msg + msgSz - digestSz, digestSz) != 0) {
+                    return -1;
+                }
+            }
+            break;
+
+        default:
+            return BAD_FUNC_ARG;
+    }
+
+    switch (ctx->encAlgo) {
+        case ecAES_128_CBC:
+            {
+                Aes aes;
+                ret = AesSetKey(&aes, encKey,KEY_SIZE_128,encIv,AES_DECRYPTION);
+                if (ret != 0)
+                    return ret;
+                ret = AesCbcDecrypt(&aes, out, msg, msgSz-digestSz);
+                if (ret != 0)
+                    return ret;
+            }
+            break;
+
+        default:
+            return BAD_FUNC_ARG;
+    }
+
+    *outSz = msgSz - digestSz;
+
+    return 0;
+}
+
+
+#endif /* HAVE_ECC_ENCRYPT */
+
+#endif /* HAVE_ECC */