wolfSSL SSL/TLS library, support up to TLS1.3
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wolfssl/wolfcrypt/fe_operations.h@17:a5f916481144, 2020-06-05 (annotated)
- Committer:
- wolfSSL
- Date:
- Fri Jun 05 00:11:07 2020 +0000
- Revision:
- 17:a5f916481144
- Parent:
- 16:8e0d178b1d1e
wolfSSL 4.4.0
Who changed what in which revision?
User | Revision | Line number | New contents of line |
---|---|---|---|
wolfSSL | 15:117db924cf7c | 1 | /* fe_operations.h |
wolfSSL | 15:117db924cf7c | 2 | * |
wolfSSL | 16:8e0d178b1d1e | 3 | * Copyright (C) 2006-2020 wolfSSL Inc. |
wolfSSL | 15:117db924cf7c | 4 | * |
wolfSSL | 15:117db924cf7c | 5 | * This file is part of wolfSSL. |
wolfSSL | 15:117db924cf7c | 6 | * |
wolfSSL | 15:117db924cf7c | 7 | * wolfSSL is free software; you can redistribute it and/or modify |
wolfSSL | 15:117db924cf7c | 8 | * it under the terms of the GNU General Public License as published by |
wolfSSL | 15:117db924cf7c | 9 | * the Free Software Foundation; either version 2 of the License, or |
wolfSSL | 15:117db924cf7c | 10 | * (at your option) any later version. |
wolfSSL | 15:117db924cf7c | 11 | * |
wolfSSL | 15:117db924cf7c | 12 | * wolfSSL is distributed in the hope that it will be useful, |
wolfSSL | 15:117db924cf7c | 13 | * but WITHOUT ANY WARRANTY; without even the implied warranty of |
wolfSSL | 15:117db924cf7c | 14 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
wolfSSL | 15:117db924cf7c | 15 | * GNU General Public License for more details. |
wolfSSL | 15:117db924cf7c | 16 | * |
wolfSSL | 15:117db924cf7c | 17 | * You should have received a copy of the GNU General Public License |
wolfSSL | 15:117db924cf7c | 18 | * along with this program; if not, write to the Free Software |
wolfSSL | 15:117db924cf7c | 19 | * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1335, USA |
wolfSSL | 15:117db924cf7c | 20 | */ |
wolfSSL | 15:117db924cf7c | 21 | |
wolfSSL | 15:117db924cf7c | 22 | |
wolfSSL | 15:117db924cf7c | 23 | #ifndef WOLF_CRYPT_FE_OPERATIONS_H |
wolfSSL | 15:117db924cf7c | 24 | #define WOLF_CRYPT_FE_OPERATIONS_H |
wolfSSL | 15:117db924cf7c | 25 | |
wolfSSL | 15:117db924cf7c | 26 | #include <wolfssl/wolfcrypt/settings.h> |
wolfSSL | 15:117db924cf7c | 27 | |
wolfSSL | 15:117db924cf7c | 28 | #if defined(HAVE_CURVE25519) || defined(HAVE_ED25519) |
wolfSSL | 15:117db924cf7c | 29 | |
wolfSSL | 15:117db924cf7c | 30 | #if !defined(CURVE25519_SMALL) || !defined(ED25519_SMALL) |
wolfSSL | 15:117db924cf7c | 31 | #include <stdint.h> |
wolfSSL | 15:117db924cf7c | 32 | #endif |
wolfSSL | 15:117db924cf7c | 33 | |
wolfSSL | 15:117db924cf7c | 34 | #include <wolfssl/wolfcrypt/types.h> |
wolfSSL | 15:117db924cf7c | 35 | |
wolfSSL | 15:117db924cf7c | 36 | #if defined(USE_INTEL_SPEEDUP) && !defined(NO_CURVED25519_X64) |
wolfSSL | 15:117db924cf7c | 37 | #define CURVED25519_X64 |
wolfSSL | 15:117db924cf7c | 38 | #elif defined(HAVE___UINT128_T) && !defined(NO_CURVED25519_128BIT) |
wolfSSL | 15:117db924cf7c | 39 | #define CURVED25519_128BIT |
wolfSSL | 15:117db924cf7c | 40 | #endif |
wolfSSL | 15:117db924cf7c | 41 | |
wolfSSL | 16:8e0d178b1d1e | 42 | #if defined(CURVED25519_X64) |
wolfSSL | 16:8e0d178b1d1e | 43 | #define CURVED25519_ASM_64BIT |
wolfSSL | 16:8e0d178b1d1e | 44 | #define CURVED25519_ASM |
wolfSSL | 16:8e0d178b1d1e | 45 | #endif |
wolfSSL | 16:8e0d178b1d1e | 46 | #if defined(WOLFSSL_ARMASM) |
wolfSSL | 16:8e0d178b1d1e | 47 | #ifdef __aarch64__ |
wolfSSL | 16:8e0d178b1d1e | 48 | #define CURVED25519_ASM_64BIT |
wolfSSL | 16:8e0d178b1d1e | 49 | #else |
wolfSSL | 16:8e0d178b1d1e | 50 | #define CURVED25519_ASM_32BIT |
wolfSSL | 16:8e0d178b1d1e | 51 | #endif |
wolfSSL | 16:8e0d178b1d1e | 52 | #define CURVED25519_ASM |
wolfSSL | 16:8e0d178b1d1e | 53 | #endif |
wolfSSL | 16:8e0d178b1d1e | 54 | |
wolfSSL | 15:117db924cf7c | 55 | /* |
wolfSSL | 15:117db924cf7c | 56 | fe means field element. |
wolfSSL | 15:117db924cf7c | 57 | Here the field is \Z/(2^255-19). |
wolfSSL | 15:117db924cf7c | 58 | An element t, entries t[0]...t[9], represents the integer |
wolfSSL | 15:117db924cf7c | 59 | t[0]+2^26 t[1]+2^51 t[2]+2^77 t[3]+2^102 t[4]+...+2^230 t[9]. |
wolfSSL | 15:117db924cf7c | 60 | Bounds on each t[i] vary depending on context. |
wolfSSL | 15:117db924cf7c | 61 | */ |
wolfSSL | 15:117db924cf7c | 62 | |
wolfSSL | 16:8e0d178b1d1e | 63 | #ifdef __cplusplus |
wolfSSL | 16:8e0d178b1d1e | 64 | extern "C" { |
wolfSSL | 16:8e0d178b1d1e | 65 | #endif |
wolfSSL | 16:8e0d178b1d1e | 66 | |
wolfSSL | 15:117db924cf7c | 67 | #if defined(CURVE25519_SMALL) || defined(ED25519_SMALL) |
wolfSSL | 15:117db924cf7c | 68 | #define F25519_SIZE 32 |
wolfSSL | 15:117db924cf7c | 69 | |
wolfSSL | 15:117db924cf7c | 70 | WOLFSSL_LOCAL void lm_copy(byte*, const byte*); |
wolfSSL | 15:117db924cf7c | 71 | WOLFSSL_LOCAL void lm_add(byte*, const byte*, const byte*); |
wolfSSL | 15:117db924cf7c | 72 | WOLFSSL_LOCAL void lm_sub(byte*, const byte*, const byte*); |
wolfSSL | 15:117db924cf7c | 73 | WOLFSSL_LOCAL void lm_neg(byte*,const byte*); |
wolfSSL | 15:117db924cf7c | 74 | WOLFSSL_LOCAL void lm_invert(byte*, const byte*); |
wolfSSL | 15:117db924cf7c | 75 | WOLFSSL_LOCAL void lm_mul(byte*,const byte*,const byte*); |
wolfSSL | 15:117db924cf7c | 76 | #endif |
wolfSSL | 15:117db924cf7c | 77 | |
wolfSSL | 15:117db924cf7c | 78 | |
wolfSSL | 15:117db924cf7c | 79 | #if !defined(FREESCALE_LTC_ECC) |
wolfSSL | 15:117db924cf7c | 80 | WOLFSSL_LOCAL void fe_init(void); |
wolfSSL | 15:117db924cf7c | 81 | |
wolfSSL | 15:117db924cf7c | 82 | WOLFSSL_LOCAL int curve25519(byte * q, byte * n, byte * p); |
wolfSSL | 15:117db924cf7c | 83 | #endif |
wolfSSL | 15:117db924cf7c | 84 | |
wolfSSL | 15:117db924cf7c | 85 | /* default to be faster but take more memory */ |
wolfSSL | 15:117db924cf7c | 86 | #if !defined(CURVE25519_SMALL) || !defined(ED25519_SMALL) |
wolfSSL | 15:117db924cf7c | 87 | |
wolfSSL | 16:8e0d178b1d1e | 88 | #ifdef CURVED25519_ASM_64BIT |
wolfSSL | 15:117db924cf7c | 89 | typedef int64_t fe[4]; |
wolfSSL | 16:8e0d178b1d1e | 90 | #elif defined(CURVED25519_ASM_32BIT) |
wolfSSL | 16:8e0d178b1d1e | 91 | typedef int32_t fe[8]; |
wolfSSL | 15:117db924cf7c | 92 | #elif defined(CURVED25519_128BIT) |
wolfSSL | 15:117db924cf7c | 93 | typedef int64_t fe[5]; |
wolfSSL | 15:117db924cf7c | 94 | #else |
wolfSSL | 15:117db924cf7c | 95 | typedef int32_t fe[10]; |
wolfSSL | 15:117db924cf7c | 96 | #endif |
wolfSSL | 15:117db924cf7c | 97 | |
wolfSSL | 15:117db924cf7c | 98 | WOLFSSL_LOCAL void fe_copy(fe, const fe); |
wolfSSL | 15:117db924cf7c | 99 | WOLFSSL_LOCAL void fe_add(fe, const fe, const fe); |
wolfSSL | 15:117db924cf7c | 100 | WOLFSSL_LOCAL void fe_neg(fe,const fe); |
wolfSSL | 15:117db924cf7c | 101 | WOLFSSL_LOCAL void fe_sub(fe, const fe, const fe); |
wolfSSL | 15:117db924cf7c | 102 | WOLFSSL_LOCAL void fe_invert(fe, const fe); |
wolfSSL | 15:117db924cf7c | 103 | WOLFSSL_LOCAL void fe_mul(fe,const fe,const fe); |
wolfSSL | 15:117db924cf7c | 104 | |
wolfSSL | 15:117db924cf7c | 105 | |
wolfSSL | 15:117db924cf7c | 106 | /* Based On Daniel J Bernstein's curve25519 and ed25519 Public Domain ref10 |
wolfSSL | 15:117db924cf7c | 107 | work. */ |
wolfSSL | 15:117db924cf7c | 108 | |
wolfSSL | 15:117db924cf7c | 109 | WOLFSSL_LOCAL void fe_0(fe); |
wolfSSL | 15:117db924cf7c | 110 | WOLFSSL_LOCAL void fe_1(fe); |
wolfSSL | 15:117db924cf7c | 111 | WOLFSSL_LOCAL int fe_isnonzero(const fe); |
wolfSSL | 15:117db924cf7c | 112 | WOLFSSL_LOCAL int fe_isnegative(const fe); |
wolfSSL | 15:117db924cf7c | 113 | WOLFSSL_LOCAL void fe_tobytes(unsigned char *, const fe); |
wolfSSL | 15:117db924cf7c | 114 | WOLFSSL_LOCAL void fe_sq(fe, const fe); |
wolfSSL | 15:117db924cf7c | 115 | WOLFSSL_LOCAL void fe_sq2(fe,const fe); |
wolfSSL | 15:117db924cf7c | 116 | WOLFSSL_LOCAL void fe_frombytes(fe,const unsigned char *); |
wolfSSL | 15:117db924cf7c | 117 | WOLFSSL_LOCAL void fe_cswap(fe, fe, int); |
wolfSSL | 15:117db924cf7c | 118 | WOLFSSL_LOCAL void fe_mul121666(fe,fe); |
wolfSSL | 15:117db924cf7c | 119 | WOLFSSL_LOCAL void fe_cmov(fe,const fe, int); |
wolfSSL | 15:117db924cf7c | 120 | WOLFSSL_LOCAL void fe_pow22523(fe,const fe); |
wolfSSL | 15:117db924cf7c | 121 | |
wolfSSL | 15:117db924cf7c | 122 | /* 64 type needed for SHA512 */ |
wolfSSL | 15:117db924cf7c | 123 | WOLFSSL_LOCAL uint64_t load_3(const unsigned char *in); |
wolfSSL | 15:117db924cf7c | 124 | WOLFSSL_LOCAL uint64_t load_4(const unsigned char *in); |
wolfSSL | 15:117db924cf7c | 125 | |
wolfSSL | 16:8e0d178b1d1e | 126 | #ifdef CURVED25519_ASM |
wolfSSL | 15:117db924cf7c | 127 | WOLFSSL_LOCAL void fe_ge_to_p2(fe rx, fe ry, fe rz, const fe px, const fe py, |
wolfSSL | 15:117db924cf7c | 128 | const fe pz, const fe pt); |
wolfSSL | 15:117db924cf7c | 129 | WOLFSSL_LOCAL void fe_ge_to_p3(fe rx, fe ry, fe rz, fe rt, const fe px, |
wolfSSL | 15:117db924cf7c | 130 | const fe py, const fe pz, const fe pt); |
wolfSSL | 15:117db924cf7c | 131 | WOLFSSL_LOCAL void fe_ge_dbl(fe rx, fe ry, fe rz, fe rt, const fe px, |
wolfSSL | 15:117db924cf7c | 132 | const fe py, const fe pz); |
wolfSSL | 15:117db924cf7c | 133 | WOLFSSL_LOCAL void fe_ge_madd(fe rx, fe ry, fe rz, fe rt, const fe px, |
wolfSSL | 15:117db924cf7c | 134 | const fe py, const fe pz, const fe pt, |
wolfSSL | 15:117db924cf7c | 135 | const fe qxy2d, const fe qyplusx, |
wolfSSL | 15:117db924cf7c | 136 | const fe qyminusx); |
wolfSSL | 15:117db924cf7c | 137 | WOLFSSL_LOCAL void fe_ge_msub(fe rx, fe ry, fe rz, fe rt, const fe px, |
wolfSSL | 15:117db924cf7c | 138 | const fe py, const fe pz, const fe pt, |
wolfSSL | 15:117db924cf7c | 139 | const fe qxy2d, const fe qyplusx, |
wolfSSL | 15:117db924cf7c | 140 | const fe qyminusx); |
wolfSSL | 15:117db924cf7c | 141 | WOLFSSL_LOCAL void fe_ge_add(fe rx, fe ry, fe rz, fe rt, const fe px, |
wolfSSL | 15:117db924cf7c | 142 | const fe py, const fe pz, const fe pt, const fe qz, |
wolfSSL | 15:117db924cf7c | 143 | const fe qt2d, const fe qyplusx, |
wolfSSL | 15:117db924cf7c | 144 | const fe qyminusx); |
wolfSSL | 15:117db924cf7c | 145 | WOLFSSL_LOCAL void fe_ge_sub(fe rx, fe ry, fe rz, fe rt, const fe px, |
wolfSSL | 15:117db924cf7c | 146 | const fe py, const fe pz, const fe pt, const fe qz, |
wolfSSL | 15:117db924cf7c | 147 | const fe qt2d, const fe qyplusx, |
wolfSSL | 15:117db924cf7c | 148 | const fe qyminusx); |
wolfSSL | 15:117db924cf7c | 149 | WOLFSSL_LOCAL void fe_cmov_table(fe* r, fe* base, signed char b); |
wolfSSL | 16:8e0d178b1d1e | 150 | #endif /* CURVED25519_ASM */ |
wolfSSL | 15:117db924cf7c | 151 | #endif /* !CURVE25519_SMALL || !ED25519_SMALL */ |
wolfSSL | 15:117db924cf7c | 152 | |
wolfSSL | 15:117db924cf7c | 153 | /* Use less memory and only 32bit types or less, but is slower |
wolfSSL | 15:117db924cf7c | 154 | Based on Daniel Beer's public domain work. */ |
wolfSSL | 15:117db924cf7c | 155 | #if defined(CURVE25519_SMALL) || defined(ED25519_SMALL) |
wolfSSL | 15:117db924cf7c | 156 | static const byte c25519_base_x[F25519_SIZE] = {9}; |
wolfSSL | 15:117db924cf7c | 157 | static const byte f25519_zero[F25519_SIZE] = {0}; |
wolfSSL | 15:117db924cf7c | 158 | static const byte f25519_one[F25519_SIZE] = {1}; |
wolfSSL | 15:117db924cf7c | 159 | static const byte fprime_zero[F25519_SIZE] = {0}; |
wolfSSL | 15:117db924cf7c | 160 | static const byte fprime_one[F25519_SIZE] = {1}; |
wolfSSL | 15:117db924cf7c | 161 | |
wolfSSL | 15:117db924cf7c | 162 | WOLFSSL_LOCAL void fe_load(byte *x, word32 c); |
wolfSSL | 15:117db924cf7c | 163 | WOLFSSL_LOCAL void fe_normalize(byte *x); |
wolfSSL | 15:117db924cf7c | 164 | WOLFSSL_LOCAL void fe_inv__distinct(byte *r, const byte *x); |
wolfSSL | 15:117db924cf7c | 165 | |
wolfSSL | 15:117db924cf7c | 166 | /* Conditional copy. If condition == 0, then zero is copied to dst. If |
wolfSSL | 15:117db924cf7c | 167 | * condition == 1, then one is copied to dst. Any other value results in |
wolfSSL | 15:117db924cf7c | 168 | * undefined behavior. |
wolfSSL | 15:117db924cf7c | 169 | */ |
wolfSSL | 15:117db924cf7c | 170 | WOLFSSL_LOCAL void fe_select(byte *dst, const byte *zero, const byte *one, |
wolfSSL | 15:117db924cf7c | 171 | byte condition); |
wolfSSL | 15:117db924cf7c | 172 | |
wolfSSL | 15:117db924cf7c | 173 | /* Multiply a point by a small constant. The two pointers are not |
wolfSSL | 15:117db924cf7c | 174 | * required to be distinct. |
wolfSSL | 15:117db924cf7c | 175 | * |
wolfSSL | 15:117db924cf7c | 176 | * The constant must be less than 2^24. |
wolfSSL | 15:117db924cf7c | 177 | */ |
wolfSSL | 15:117db924cf7c | 178 | WOLFSSL_LOCAL void fe_mul_c(byte *r, const byte *a, word32 b); |
wolfSSL | 15:117db924cf7c | 179 | WOLFSSL_LOCAL void fe_mul__distinct(byte *r, const byte *a, const byte *b); |
wolfSSL | 15:117db924cf7c | 180 | |
wolfSSL | 15:117db924cf7c | 181 | /* Compute one of the square roots of the field element, if the element |
wolfSSL | 15:117db924cf7c | 182 | * is square. The other square is -r. |
wolfSSL | 15:117db924cf7c | 183 | * |
wolfSSL | 15:117db924cf7c | 184 | * If the input is not square, the returned value is a valid field |
wolfSSL | 15:117db924cf7c | 185 | * element, but not the correct answer. If you don't already know that |
wolfSSL | 15:117db924cf7c | 186 | * your element is square, you should square the return value and test. |
wolfSSL | 15:117db924cf7c | 187 | */ |
wolfSSL | 15:117db924cf7c | 188 | WOLFSSL_LOCAL void fe_sqrt(byte *r, const byte *x); |
wolfSSL | 15:117db924cf7c | 189 | |
wolfSSL | 15:117db924cf7c | 190 | /* Conditional copy. If condition == 0, then zero is copied to dst. If |
wolfSSL | 15:117db924cf7c | 191 | * condition == 1, then one is copied to dst. Any other value results in |
wolfSSL | 15:117db924cf7c | 192 | * undefined behavior. |
wolfSSL | 15:117db924cf7c | 193 | */ |
wolfSSL | 15:117db924cf7c | 194 | WOLFSSL_LOCAL void fprime_select(byte *dst, const byte *zero, const byte *one, |
wolfSSL | 15:117db924cf7c | 195 | byte condition); |
wolfSSL | 15:117db924cf7c | 196 | WOLFSSL_LOCAL void fprime_add(byte *r, const byte *a, const byte *modulus); |
wolfSSL | 15:117db924cf7c | 197 | WOLFSSL_LOCAL void fprime_sub(byte *r, const byte *a, const byte *modulus); |
wolfSSL | 15:117db924cf7c | 198 | WOLFSSL_LOCAL void fprime_mul(byte *r, const byte *a, const byte *b, |
wolfSSL | 15:117db924cf7c | 199 | const byte *modulus); |
wolfSSL | 15:117db924cf7c | 200 | WOLFSSL_LOCAL void fprime_copy(byte *x, const byte *a); |
wolfSSL | 15:117db924cf7c | 201 | |
wolfSSL | 15:117db924cf7c | 202 | #endif /* CURVE25519_SMALL || ED25519_SMALL */ |
wolfSSL | 16:8e0d178b1d1e | 203 | |
wolfSSL | 16:8e0d178b1d1e | 204 | #ifdef __cplusplus |
wolfSSL | 16:8e0d178b1d1e | 205 | } /* extern "C" */ |
wolfSSL | 16:8e0d178b1d1e | 206 | #endif |
wolfSSL | 16:8e0d178b1d1e | 207 | |
wolfSSL | 15:117db924cf7c | 208 | #endif /* HAVE_CURVE25519 || HAVE_ED25519 */ |
wolfSSL | 15:117db924cf7c | 209 | |
wolfSSL | 15:117db924cf7c | 210 | #endif /* WOLF_CRYPT_FE_OPERATIONS_H */ |
wolfSSL | 15:117db924cf7c | 211 |