Kenji Arai / mbed-os_TYBLE16

mbed-os5 only for TYBLE16

Dependents:   TYBLE16_simple_data_logger TYBLE16_MP3_Air

features/mbedtls/mbed-crypto/src/ecp_curves.c@1:9db0e321a9f4, 2019-12-31 (annotated)

Committer:
kenjiArai
Date:
Tue Dec 31 06:02:27 2019 +0000
Revision:
1:9db0e321a9f4
Parent:
0:5b88d5760320 
updated based on mbed-os5.15.0

Who changed what in which revision?

UserRevisionLine numberNew contents of line
kenjiArai 0:5b88d5760320 1 /*
kenjiArai 0:5b88d5760320 2 * Elliptic curves over GF(p): curve-specific data and functions
kenjiArai 0:5b88d5760320 3 *
kenjiArai 0:5b88d5760320 4 * Copyright (C) 2006-2015, ARM Limited, All Rights Reserved
kenjiArai 0:5b88d5760320 5 * SPDX-License-Identifier: Apache-2.0
kenjiArai 0:5b88d5760320 6 *
kenjiArai 0:5b88d5760320 7 * Licensed under the Apache License, Version 2.0 (the "License"); you may
kenjiArai 0:5b88d5760320 8 * not use this file except in compliance with the License.
kenjiArai 0:5b88d5760320 9 * You may obtain a copy of the License at
kenjiArai 0:5b88d5760320 10 *
kenjiArai 0:5b88d5760320 11 * http://www.apache.org/licenses/LICENSE-2.0
kenjiArai 0:5b88d5760320 12 *
kenjiArai 0:5b88d5760320 13 * Unless required by applicable law or agreed to in writing, software
kenjiArai 0:5b88d5760320 14 * distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
kenjiArai 0:5b88d5760320 15 * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
kenjiArai 0:5b88d5760320 16 * See the License for the specific language governing permissions and
kenjiArai 0:5b88d5760320 17 * limitations under the License.
kenjiArai 0:5b88d5760320 18 *
kenjiArai 0:5b88d5760320 19 * This file is part of mbed TLS (https://tls.mbed.org)
kenjiArai 0:5b88d5760320 20 */
kenjiArai 0:5b88d5760320 21
kenjiArai 0:5b88d5760320 22 #if !defined(MBEDTLS_CONFIG_FILE)
kenjiArai 0:5b88d5760320 23 #include "mbedtls/config.h"
kenjiArai 0:5b88d5760320 24 #else
kenjiArai 0:5b88d5760320 25 #include MBEDTLS_CONFIG_FILE
kenjiArai 0:5b88d5760320 26 #endif
kenjiArai 0:5b88d5760320 27
kenjiArai 0:5b88d5760320 28 #if defined(MBEDTLS_ECP_C)
kenjiArai 0:5b88d5760320 29
kenjiArai 0:5b88d5760320 30 #include "mbedtls/ecp.h"
kenjiArai 0:5b88d5760320 31 #include "mbedtls/platform_util.h"
kenjiArai 0:5b88d5760320 32
kenjiArai 0:5b88d5760320 33 #include <string.h>
kenjiArai 0:5b88d5760320 34
kenjiArai 0:5b88d5760320 35 #if !defined(MBEDTLS_ECP_ALT)
kenjiArai 0:5b88d5760320 36
kenjiArai 0:5b88d5760320 37 /* Parameter validation macros based on platform_util.h */
kenjiArai 0:5b88d5760320 38 #define ECP_VALIDATE_RET( cond ) \
kenjiArai 0:5b88d5760320 39 MBEDTLS_INTERNAL_VALIDATE_RET( cond, MBEDTLS_ERR_ECP_BAD_INPUT_DATA )
kenjiArai 0:5b88d5760320 40 #define ECP_VALIDATE( cond ) \
kenjiArai 0:5b88d5760320 41 MBEDTLS_INTERNAL_VALIDATE( cond )
kenjiArai 0:5b88d5760320 42
kenjiArai 0:5b88d5760320 43 #if ( defined(__ARMCC_VERSION) || defined(_MSC_VER) ) && \
kenjiArai 0:5b88d5760320 44 !defined(inline) && !defined(__cplusplus)
kenjiArai 0:5b88d5760320 45 #define inline __inline
kenjiArai 0:5b88d5760320 46 #endif
kenjiArai 0:5b88d5760320 47
kenjiArai 0:5b88d5760320 48 /*
kenjiArai 0:5b88d5760320 49 * Conversion macros for embedded constants:
kenjiArai 0:5b88d5760320 50 * build lists of mbedtls_mpi_uint's from lists of unsigned char's grouped by 8, 4 or 2
kenjiArai 0:5b88d5760320 51 */
kenjiArai 0:5b88d5760320 52 #if defined(MBEDTLS_HAVE_INT32)
kenjiArai 0:5b88d5760320 53
kenjiArai 0:5b88d5760320 54 #define BYTES_TO_T_UINT_4( a, b, c, d ) \
kenjiArai 0:5b88d5760320 55 ( (mbedtls_mpi_uint) (a) << 0 ) | \
kenjiArai 0:5b88d5760320 56 ( (mbedtls_mpi_uint) (b) << 8 ) | \
kenjiArai 0:5b88d5760320 57 ( (mbedtls_mpi_uint) (c) << 16 ) | \
kenjiArai 0:5b88d5760320 58 ( (mbedtls_mpi_uint) (d) << 24 )
kenjiArai 0:5b88d5760320 59
kenjiArai 0:5b88d5760320 60 #define BYTES_TO_T_UINT_2( a, b ) \
kenjiArai 0:5b88d5760320 61 BYTES_TO_T_UINT_4( a, b, 0, 0 )
kenjiArai 0:5b88d5760320 62
kenjiArai 0:5b88d5760320 63 #define BYTES_TO_T_UINT_8( a, b, c, d, e, f, g, h ) \
kenjiArai 0:5b88d5760320 64 BYTES_TO_T_UINT_4( a, b, c, d ), \
kenjiArai 0:5b88d5760320 65 BYTES_TO_T_UINT_4( e, f, g, h )
kenjiArai 0:5b88d5760320 66
kenjiArai 0:5b88d5760320 67 #else /* 64-bits */
kenjiArai 0:5b88d5760320 68
kenjiArai 0:5b88d5760320 69 #define BYTES_TO_T_UINT_8( a, b, c, d, e, f, g, h ) \
kenjiArai 0:5b88d5760320 70 ( (mbedtls_mpi_uint) (a) << 0 ) | \
kenjiArai 0:5b88d5760320 71 ( (mbedtls_mpi_uint) (b) << 8 ) | \
kenjiArai 0:5b88d5760320 72 ( (mbedtls_mpi_uint) (c) << 16 ) | \
kenjiArai 0:5b88d5760320 73 ( (mbedtls_mpi_uint) (d) << 24 ) | \
kenjiArai 0:5b88d5760320 74 ( (mbedtls_mpi_uint) (e) << 32 ) | \
kenjiArai 0:5b88d5760320 75 ( (mbedtls_mpi_uint) (f) << 40 ) | \
kenjiArai 0:5b88d5760320 76 ( (mbedtls_mpi_uint) (g) << 48 ) | \
kenjiArai 0:5b88d5760320 77 ( (mbedtls_mpi_uint) (h) << 56 )
kenjiArai 0:5b88d5760320 78
kenjiArai 0:5b88d5760320 79 #define BYTES_TO_T_UINT_4( a, b, c, d ) \
kenjiArai 0:5b88d5760320 80 BYTES_TO_T_UINT_8( a, b, c, d, 0, 0, 0, 0 )
kenjiArai 0:5b88d5760320 81
kenjiArai 0:5b88d5760320 82 #define BYTES_TO_T_UINT_2( a, b ) \
kenjiArai 0:5b88d5760320 83 BYTES_TO_T_UINT_8( a, b, 0, 0, 0, 0, 0, 0 )
kenjiArai 0:5b88d5760320 84
kenjiArai 0:5b88d5760320 85 #endif /* bits in mbedtls_mpi_uint */
kenjiArai 0:5b88d5760320 86
kenjiArai 0:5b88d5760320 87 /*
kenjiArai 0:5b88d5760320 88 * Note: the constants are in little-endian order
kenjiArai 0:5b88d5760320 89 * to be directly usable in MPIs
kenjiArai 0:5b88d5760320 90 */
kenjiArai 0:5b88d5760320 91
kenjiArai 0:5b88d5760320 92 /*
kenjiArai 0:5b88d5760320 93 * Domain parameters for secp192r1
kenjiArai 0:5b88d5760320 94 */
kenjiArai 0:5b88d5760320 95 #if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
kenjiArai 0:5b88d5760320 96 static const mbedtls_mpi_uint secp192r1_p[] = {
kenjiArai 0:5b88d5760320 97 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 98 BYTES_TO_T_UINT_8( 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 99 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 100 };
kenjiArai 0:5b88d5760320 101 static const mbedtls_mpi_uint secp192r1_b[] = {
kenjiArai 0:5b88d5760320 102 BYTES_TO_T_UINT_8( 0xB1, 0xB9, 0x46, 0xC1, 0xEC, 0xDE, 0xB8, 0xFE ),
kenjiArai 0:5b88d5760320 103 BYTES_TO_T_UINT_8( 0x49, 0x30, 0x24, 0x72, 0xAB, 0xE9, 0xA7, 0x0F ),
kenjiArai 0:5b88d5760320 104 BYTES_TO_T_UINT_8( 0xE7, 0x80, 0x9C, 0xE5, 0x19, 0x05, 0x21, 0x64 ),
kenjiArai 0:5b88d5760320 105 };
kenjiArai 0:5b88d5760320 106 static const mbedtls_mpi_uint secp192r1_gx[] = {
kenjiArai 0:5b88d5760320 107 BYTES_TO_T_UINT_8( 0x12, 0x10, 0xFF, 0x82, 0xFD, 0x0A, 0xFF, 0xF4 ),
kenjiArai 0:5b88d5760320 108 BYTES_TO_T_UINT_8( 0x00, 0x88, 0xA1, 0x43, 0xEB, 0x20, 0xBF, 0x7C ),
kenjiArai 0:5b88d5760320 109 BYTES_TO_T_UINT_8( 0xF6, 0x90, 0x30, 0xB0, 0x0E, 0xA8, 0x8D, 0x18 ),
kenjiArai 0:5b88d5760320 110 };
kenjiArai 0:5b88d5760320 111 static const mbedtls_mpi_uint secp192r1_gy[] = {
kenjiArai 0:5b88d5760320 112 BYTES_TO_T_UINT_8( 0x11, 0x48, 0x79, 0x1E, 0xA1, 0x77, 0xF9, 0x73 ),
kenjiArai 0:5b88d5760320 113 BYTES_TO_T_UINT_8( 0xD5, 0xCD, 0x24, 0x6B, 0xED, 0x11, 0x10, 0x63 ),
kenjiArai 0:5b88d5760320 114 BYTES_TO_T_UINT_8( 0x78, 0xDA, 0xC8, 0xFF, 0x95, 0x2B, 0x19, 0x07 ),
kenjiArai 0:5b88d5760320 115 };
kenjiArai 0:5b88d5760320 116 static const mbedtls_mpi_uint secp192r1_n[] = {
kenjiArai 0:5b88d5760320 117 BYTES_TO_T_UINT_8( 0x31, 0x28, 0xD2, 0xB4, 0xB1, 0xC9, 0x6B, 0x14 ),
kenjiArai 0:5b88d5760320 118 BYTES_TO_T_UINT_8( 0x36, 0xF8, 0xDE, 0x99, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 119 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 120 };
kenjiArai 0:5b88d5760320 121 #endif /* MBEDTLS_ECP_DP_SECP192R1_ENABLED */
kenjiArai 0:5b88d5760320 122
kenjiArai 0:5b88d5760320 123 /*
kenjiArai 0:5b88d5760320 124 * Domain parameters for secp224r1
kenjiArai 0:5b88d5760320 125 */
kenjiArai 0:5b88d5760320 126 #if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
kenjiArai 0:5b88d5760320 127 static const mbedtls_mpi_uint secp224r1_p[] = {
kenjiArai 0:5b88d5760320 128 BYTES_TO_T_UINT_8( 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
kenjiArai 0:5b88d5760320 129 BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 130 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 131 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00 ),
kenjiArai 0:5b88d5760320 132 };
kenjiArai 0:5b88d5760320 133 static const mbedtls_mpi_uint secp224r1_b[] = {
kenjiArai 0:5b88d5760320 134 BYTES_TO_T_UINT_8( 0xB4, 0xFF, 0x55, 0x23, 0x43, 0x39, 0x0B, 0x27 ),
kenjiArai 0:5b88d5760320 135 BYTES_TO_T_UINT_8( 0xBA, 0xD8, 0xBF, 0xD7, 0xB7, 0xB0, 0x44, 0x50 ),
kenjiArai 0:5b88d5760320 136 BYTES_TO_T_UINT_8( 0x56, 0x32, 0x41, 0xF5, 0xAB, 0xB3, 0x04, 0x0C ),
kenjiArai 0:5b88d5760320 137 BYTES_TO_T_UINT_4( 0x85, 0x0A, 0x05, 0xB4 ),
kenjiArai 0:5b88d5760320 138 };
kenjiArai 0:5b88d5760320 139 static const mbedtls_mpi_uint secp224r1_gx[] = {
kenjiArai 0:5b88d5760320 140 BYTES_TO_T_UINT_8( 0x21, 0x1D, 0x5C, 0x11, 0xD6, 0x80, 0x32, 0x34 ),
kenjiArai 0:5b88d5760320 141 BYTES_TO_T_UINT_8( 0x22, 0x11, 0xC2, 0x56, 0xD3, 0xC1, 0x03, 0x4A ),
kenjiArai 0:5b88d5760320 142 BYTES_TO_T_UINT_8( 0xB9, 0x90, 0x13, 0x32, 0x7F, 0xBF, 0xB4, 0x6B ),
kenjiArai 0:5b88d5760320 143 BYTES_TO_T_UINT_4( 0xBD, 0x0C, 0x0E, 0xB7 ),
kenjiArai 0:5b88d5760320 144 };
kenjiArai 0:5b88d5760320 145 static const mbedtls_mpi_uint secp224r1_gy[] = {
kenjiArai 0:5b88d5760320 146 BYTES_TO_T_UINT_8( 0x34, 0x7E, 0x00, 0x85, 0x99, 0x81, 0xD5, 0x44 ),
kenjiArai 0:5b88d5760320 147 BYTES_TO_T_UINT_8( 0x64, 0x47, 0x07, 0x5A, 0xA0, 0x75, 0x43, 0xCD ),
kenjiArai 0:5b88d5760320 148 BYTES_TO_T_UINT_8( 0xE6, 0xDF, 0x22, 0x4C, 0xFB, 0x23, 0xF7, 0xB5 ),
kenjiArai 0:5b88d5760320 149 BYTES_TO_T_UINT_4( 0x88, 0x63, 0x37, 0xBD ),
kenjiArai 0:5b88d5760320 150 };
kenjiArai 0:5b88d5760320 151 static const mbedtls_mpi_uint secp224r1_n[] = {
kenjiArai 0:5b88d5760320 152 BYTES_TO_T_UINT_8( 0x3D, 0x2A, 0x5C, 0x5C, 0x45, 0x29, 0xDD, 0x13 ),
kenjiArai 0:5b88d5760320 153 BYTES_TO_T_UINT_8( 0x3E, 0xF0, 0xB8, 0xE0, 0xA2, 0x16, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 154 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 155 BYTES_TO_T_UINT_4( 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 156 };
kenjiArai 0:5b88d5760320 157 #endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED */
kenjiArai 0:5b88d5760320 158
kenjiArai 0:5b88d5760320 159 /*
kenjiArai 0:5b88d5760320 160 * Domain parameters for secp256r1
kenjiArai 0:5b88d5760320 161 */
kenjiArai 0:5b88d5760320 162 #if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
kenjiArai 0:5b88d5760320 163 static const mbedtls_mpi_uint secp256r1_p[] = {
kenjiArai 0:5b88d5760320 164 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 165 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00 ),
kenjiArai 0:5b88d5760320 166 BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
kenjiArai 0:5b88d5760320 167 BYTES_TO_T_UINT_8( 0x01, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 168 };
kenjiArai 0:5b88d5760320 169 static const mbedtls_mpi_uint secp256r1_b[] = {
kenjiArai 0:5b88d5760320 170 BYTES_TO_T_UINT_8( 0x4B, 0x60, 0xD2, 0x27, 0x3E, 0x3C, 0xCE, 0x3B ),
kenjiArai 0:5b88d5760320 171 BYTES_TO_T_UINT_8( 0xF6, 0xB0, 0x53, 0xCC, 0xB0, 0x06, 0x1D, 0x65 ),
kenjiArai 0:5b88d5760320 172 BYTES_TO_T_UINT_8( 0xBC, 0x86, 0x98, 0x76, 0x55, 0xBD, 0xEB, 0xB3 ),
kenjiArai 0:5b88d5760320 173 BYTES_TO_T_UINT_8( 0xE7, 0x93, 0x3A, 0xAA, 0xD8, 0x35, 0xC6, 0x5A ),
kenjiArai 0:5b88d5760320 174 };
kenjiArai 0:5b88d5760320 175 static const mbedtls_mpi_uint secp256r1_gx[] = {
kenjiArai 0:5b88d5760320 176 BYTES_TO_T_UINT_8( 0x96, 0xC2, 0x98, 0xD8, 0x45, 0x39, 0xA1, 0xF4 ),
kenjiArai 0:5b88d5760320 177 BYTES_TO_T_UINT_8( 0xA0, 0x33, 0xEB, 0x2D, 0x81, 0x7D, 0x03, 0x77 ),
kenjiArai 0:5b88d5760320 178 BYTES_TO_T_UINT_8( 0xF2, 0x40, 0xA4, 0x63, 0xE5, 0xE6, 0xBC, 0xF8 ),
kenjiArai 0:5b88d5760320 179 BYTES_TO_T_UINT_8( 0x47, 0x42, 0x2C, 0xE1, 0xF2, 0xD1, 0x17, 0x6B ),
kenjiArai 0:5b88d5760320 180 };
kenjiArai 0:5b88d5760320 181 static const mbedtls_mpi_uint secp256r1_gy[] = {
kenjiArai 0:5b88d5760320 182 BYTES_TO_T_UINT_8( 0xF5, 0x51, 0xBF, 0x37, 0x68, 0x40, 0xB6, 0xCB ),
kenjiArai 0:5b88d5760320 183 BYTES_TO_T_UINT_8( 0xCE, 0x5E, 0x31, 0x6B, 0x57, 0x33, 0xCE, 0x2B ),
kenjiArai 0:5b88d5760320 184 BYTES_TO_T_UINT_8( 0x16, 0x9E, 0x0F, 0x7C, 0x4A, 0xEB, 0xE7, 0x8E ),
kenjiArai 0:5b88d5760320 185 BYTES_TO_T_UINT_8( 0x9B, 0x7F, 0x1A, 0xFE, 0xE2, 0x42, 0xE3, 0x4F ),
kenjiArai 0:5b88d5760320 186 };
kenjiArai 0:5b88d5760320 187 static const mbedtls_mpi_uint secp256r1_n[] = {
kenjiArai 0:5b88d5760320 188 BYTES_TO_T_UINT_8( 0x51, 0x25, 0x63, 0xFC, 0xC2, 0xCA, 0xB9, 0xF3 ),
kenjiArai 0:5b88d5760320 189 BYTES_TO_T_UINT_8( 0x84, 0x9E, 0x17, 0xA7, 0xAD, 0xFA, 0xE6, 0xBC ),
kenjiArai 0:5b88d5760320 190 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 191 BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 192 };
kenjiArai 0:5b88d5760320 193 #endif /* MBEDTLS_ECP_DP_SECP256R1_ENABLED */
kenjiArai 0:5b88d5760320 194
kenjiArai 0:5b88d5760320 195 /*
kenjiArai 0:5b88d5760320 196 * Domain parameters for secp384r1
kenjiArai 0:5b88d5760320 197 */
kenjiArai 0:5b88d5760320 198 #if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
kenjiArai 0:5b88d5760320 199 static const mbedtls_mpi_uint secp384r1_p[] = {
kenjiArai 0:5b88d5760320 200 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00 ),
kenjiArai 0:5b88d5760320 201 BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 202 BYTES_TO_T_UINT_8( 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 203 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 204 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 205 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 206 };
kenjiArai 0:5b88d5760320 207 static const mbedtls_mpi_uint secp384r1_b[] = {
kenjiArai 0:5b88d5760320 208 BYTES_TO_T_UINT_8( 0xEF, 0x2A, 0xEC, 0xD3, 0xED, 0xC8, 0x85, 0x2A ),
kenjiArai 0:5b88d5760320 209 BYTES_TO_T_UINT_8( 0x9D, 0xD1, 0x2E, 0x8A, 0x8D, 0x39, 0x56, 0xC6 ),
kenjiArai 0:5b88d5760320 210 BYTES_TO_T_UINT_8( 0x5A, 0x87, 0x13, 0x50, 0x8F, 0x08, 0x14, 0x03 ),
kenjiArai 0:5b88d5760320 211 BYTES_TO_T_UINT_8( 0x12, 0x41, 0x81, 0xFE, 0x6E, 0x9C, 0x1D, 0x18 ),
kenjiArai 0:5b88d5760320 212 BYTES_TO_T_UINT_8( 0x19, 0x2D, 0xF8, 0xE3, 0x6B, 0x05, 0x8E, 0x98 ),
kenjiArai 0:5b88d5760320 213 BYTES_TO_T_UINT_8( 0xE4, 0xE7, 0x3E, 0xE2, 0xA7, 0x2F, 0x31, 0xB3 ),
kenjiArai 0:5b88d5760320 214 };
kenjiArai 0:5b88d5760320 215 static const mbedtls_mpi_uint secp384r1_gx[] = {
kenjiArai 0:5b88d5760320 216 BYTES_TO_T_UINT_8( 0xB7, 0x0A, 0x76, 0x72, 0x38, 0x5E, 0x54, 0x3A ),
kenjiArai 0:5b88d5760320 217 BYTES_TO_T_UINT_8( 0x6C, 0x29, 0x55, 0xBF, 0x5D, 0xF2, 0x02, 0x55 ),
kenjiArai 0:5b88d5760320 218 BYTES_TO_T_UINT_8( 0x38, 0x2A, 0x54, 0x82, 0xE0, 0x41, 0xF7, 0x59 ),
kenjiArai 0:5b88d5760320 219 BYTES_TO_T_UINT_8( 0x98, 0x9B, 0xA7, 0x8B, 0x62, 0x3B, 0x1D, 0x6E ),
kenjiArai 0:5b88d5760320 220 BYTES_TO_T_UINT_8( 0x74, 0xAD, 0x20, 0xF3, 0x1E, 0xC7, 0xB1, 0x8E ),
kenjiArai 0:5b88d5760320 221 BYTES_TO_T_UINT_8( 0x37, 0x05, 0x8B, 0xBE, 0x22, 0xCA, 0x87, 0xAA ),
kenjiArai 0:5b88d5760320 222 };
kenjiArai 0:5b88d5760320 223 static const mbedtls_mpi_uint secp384r1_gy[] = {
kenjiArai 0:5b88d5760320 224 BYTES_TO_T_UINT_8( 0x5F, 0x0E, 0xEA, 0x90, 0x7C, 0x1D, 0x43, 0x7A ),
kenjiArai 0:5b88d5760320 225 BYTES_TO_T_UINT_8( 0x9D, 0x81, 0x7E, 0x1D, 0xCE, 0xB1, 0x60, 0x0A ),
kenjiArai 0:5b88d5760320 226 BYTES_TO_T_UINT_8( 0xC0, 0xB8, 0xF0, 0xB5, 0x13, 0x31, 0xDA, 0xE9 ),
kenjiArai 0:5b88d5760320 227 BYTES_TO_T_UINT_8( 0x7C, 0x14, 0x9A, 0x28, 0xBD, 0x1D, 0xF4, 0xF8 ),
kenjiArai 0:5b88d5760320 228 BYTES_TO_T_UINT_8( 0x29, 0xDC, 0x92, 0x92, 0xBF, 0x98, 0x9E, 0x5D ),
kenjiArai 0:5b88d5760320 229 BYTES_TO_T_UINT_8( 0x6F, 0x2C, 0x26, 0x96, 0x4A, 0xDE, 0x17, 0x36 ),
kenjiArai 0:5b88d5760320 230 };
kenjiArai 0:5b88d5760320 231 static const mbedtls_mpi_uint secp384r1_n[] = {
kenjiArai 0:5b88d5760320 232 BYTES_TO_T_UINT_8( 0x73, 0x29, 0xC5, 0xCC, 0x6A, 0x19, 0xEC, 0xEC ),
kenjiArai 0:5b88d5760320 233 BYTES_TO_T_UINT_8( 0x7A, 0xA7, 0xB0, 0x48, 0xB2, 0x0D, 0x1A, 0x58 ),
kenjiArai 0:5b88d5760320 234 BYTES_TO_T_UINT_8( 0xDF, 0x2D, 0x37, 0xF4, 0x81, 0x4D, 0x63, 0xC7 ),
kenjiArai 0:5b88d5760320 235 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 236 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 237 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 238 };
kenjiArai 0:5b88d5760320 239 #endif /* MBEDTLS_ECP_DP_SECP384R1_ENABLED */
kenjiArai 0:5b88d5760320 240
kenjiArai 0:5b88d5760320 241 /*
kenjiArai 0:5b88d5760320 242 * Domain parameters for secp521r1
kenjiArai 0:5b88d5760320 243 */
kenjiArai 0:5b88d5760320 244 #if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
kenjiArai 0:5b88d5760320 245 static const mbedtls_mpi_uint secp521r1_p[] = {
kenjiArai 0:5b88d5760320 246 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 247 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 248 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 249 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 250 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 251 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 252 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 253 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 254 BYTES_TO_T_UINT_2( 0xFF, 0x01 ),
kenjiArai 0:5b88d5760320 255 };
kenjiArai 0:5b88d5760320 256 static const mbedtls_mpi_uint secp521r1_b[] = {
kenjiArai 0:5b88d5760320 257 BYTES_TO_T_UINT_8( 0x00, 0x3F, 0x50, 0x6B, 0xD4, 0x1F, 0x45, 0xEF ),
kenjiArai 0:5b88d5760320 258 BYTES_TO_T_UINT_8( 0xF1, 0x34, 0x2C, 0x3D, 0x88, 0xDF, 0x73, 0x35 ),
kenjiArai 0:5b88d5760320 259 BYTES_TO_T_UINT_8( 0x07, 0xBF, 0xB1, 0x3B, 0xBD, 0xC0, 0x52, 0x16 ),
kenjiArai 0:5b88d5760320 260 BYTES_TO_T_UINT_8( 0x7B, 0x93, 0x7E, 0xEC, 0x51, 0x39, 0x19, 0x56 ),
kenjiArai 0:5b88d5760320 261 BYTES_TO_T_UINT_8( 0xE1, 0x09, 0xF1, 0x8E, 0x91, 0x89, 0xB4, 0xB8 ),
kenjiArai 0:5b88d5760320 262 BYTES_TO_T_UINT_8( 0xF3, 0x15, 0xB3, 0x99, 0x5B, 0x72, 0xDA, 0xA2 ),
kenjiArai 0:5b88d5760320 263 BYTES_TO_T_UINT_8( 0xEE, 0x40, 0x85, 0xB6, 0xA0, 0x21, 0x9A, 0x92 ),
kenjiArai 0:5b88d5760320 264 BYTES_TO_T_UINT_8( 0x1F, 0x9A, 0x1C, 0x8E, 0x61, 0xB9, 0x3E, 0x95 ),
kenjiArai 0:5b88d5760320 265 BYTES_TO_T_UINT_2( 0x51, 0x00 ),
kenjiArai 0:5b88d5760320 266 };
kenjiArai 0:5b88d5760320 267 static const mbedtls_mpi_uint secp521r1_gx[] = {
kenjiArai 0:5b88d5760320 268 BYTES_TO_T_UINT_8( 0x66, 0xBD, 0xE5, 0xC2, 0x31, 0x7E, 0x7E, 0xF9 ),
kenjiArai 0:5b88d5760320 269 BYTES_TO_T_UINT_8( 0x9B, 0x42, 0x6A, 0x85, 0xC1, 0xB3, 0x48, 0x33 ),
kenjiArai 0:5b88d5760320 270 BYTES_TO_T_UINT_8( 0xDE, 0xA8, 0xFF, 0xA2, 0x27, 0xC1, 0x1D, 0xFE ),
kenjiArai 0:5b88d5760320 271 BYTES_TO_T_UINT_8( 0x28, 0x59, 0xE7, 0xEF, 0x77, 0x5E, 0x4B, 0xA1 ),
kenjiArai 0:5b88d5760320 272 BYTES_TO_T_UINT_8( 0xBA, 0x3D, 0x4D, 0x6B, 0x60, 0xAF, 0x28, 0xF8 ),
kenjiArai 0:5b88d5760320 273 BYTES_TO_T_UINT_8( 0x21, 0xB5, 0x3F, 0x05, 0x39, 0x81, 0x64, 0x9C ),
kenjiArai 0:5b88d5760320 274 BYTES_TO_T_UINT_8( 0x42, 0xB4, 0x95, 0x23, 0x66, 0xCB, 0x3E, 0x9E ),
kenjiArai 0:5b88d5760320 275 BYTES_TO_T_UINT_8( 0xCD, 0xE9, 0x04, 0x04, 0xB7, 0x06, 0x8E, 0x85 ),
kenjiArai 0:5b88d5760320 276 BYTES_TO_T_UINT_2( 0xC6, 0x00 ),
kenjiArai 0:5b88d5760320 277 };
kenjiArai 0:5b88d5760320 278 static const mbedtls_mpi_uint secp521r1_gy[] = {
kenjiArai 0:5b88d5760320 279 BYTES_TO_T_UINT_8( 0x50, 0x66, 0xD1, 0x9F, 0x76, 0x94, 0xBE, 0x88 ),
kenjiArai 0:5b88d5760320 280 BYTES_TO_T_UINT_8( 0x40, 0xC2, 0x72, 0xA2, 0x86, 0x70, 0x3C, 0x35 ),
kenjiArai 0:5b88d5760320 281 BYTES_TO_T_UINT_8( 0x61, 0x07, 0xAD, 0x3F, 0x01, 0xB9, 0x50, 0xC5 ),
kenjiArai 0:5b88d5760320 282 BYTES_TO_T_UINT_8( 0x40, 0x26, 0xF4, 0x5E, 0x99, 0x72, 0xEE, 0x97 ),
kenjiArai 0:5b88d5760320 283 BYTES_TO_T_UINT_8( 0x2C, 0x66, 0x3E, 0x27, 0x17, 0xBD, 0xAF, 0x17 ),
kenjiArai 0:5b88d5760320 284 BYTES_TO_T_UINT_8( 0x68, 0x44, 0x9B, 0x57, 0x49, 0x44, 0xF5, 0x98 ),
kenjiArai 0:5b88d5760320 285 BYTES_TO_T_UINT_8( 0xD9, 0x1B, 0x7D, 0x2C, 0xB4, 0x5F, 0x8A, 0x5C ),
kenjiArai 0:5b88d5760320 286 BYTES_TO_T_UINT_8( 0x04, 0xC0, 0x3B, 0x9A, 0x78, 0x6A, 0x29, 0x39 ),
kenjiArai 0:5b88d5760320 287 BYTES_TO_T_UINT_2( 0x18, 0x01 ),
kenjiArai 0:5b88d5760320 288 };
kenjiArai 0:5b88d5760320 289 static const mbedtls_mpi_uint secp521r1_n[] = {
kenjiArai 0:5b88d5760320 290 BYTES_TO_T_UINT_8( 0x09, 0x64, 0x38, 0x91, 0x1E, 0xB7, 0x6F, 0xBB ),
kenjiArai 0:5b88d5760320 291 BYTES_TO_T_UINT_8( 0xAE, 0x47, 0x9C, 0x89, 0xB8, 0xC9, 0xB5, 0x3B ),
kenjiArai 0:5b88d5760320 292 BYTES_TO_T_UINT_8( 0xD0, 0xA5, 0x09, 0xF7, 0x48, 0x01, 0xCC, 0x7F ),
kenjiArai 0:5b88d5760320 293 BYTES_TO_T_UINT_8( 0x6B, 0x96, 0x2F, 0xBF, 0x83, 0x87, 0x86, 0x51 ),
kenjiArai 0:5b88d5760320 294 BYTES_TO_T_UINT_8( 0xFA, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 295 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 296 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 297 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 298 BYTES_TO_T_UINT_2( 0xFF, 0x01 ),
kenjiArai 0:5b88d5760320 299 };
kenjiArai 0:5b88d5760320 300 #endif /* MBEDTLS_ECP_DP_SECP521R1_ENABLED */
kenjiArai 0:5b88d5760320 301
kenjiArai 0:5b88d5760320 302 #if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
kenjiArai 0:5b88d5760320 303 static const mbedtls_mpi_uint secp192k1_p[] = {
kenjiArai 0:5b88d5760320 304 BYTES_TO_T_UINT_8( 0x37, 0xEE, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 305 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 306 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 307 };
kenjiArai 0:5b88d5760320 308 static const mbedtls_mpi_uint secp192k1_a[] = {
kenjiArai 0:5b88d5760320 309 BYTES_TO_T_UINT_2( 0x00, 0x00 ),
kenjiArai 0:5b88d5760320 310 };
kenjiArai 0:5b88d5760320 311 static const mbedtls_mpi_uint secp192k1_b[] = {
kenjiArai 0:5b88d5760320 312 BYTES_TO_T_UINT_2( 0x03, 0x00 ),
kenjiArai 0:5b88d5760320 313 };
kenjiArai 0:5b88d5760320 314 static const mbedtls_mpi_uint secp192k1_gx[] = {
kenjiArai 0:5b88d5760320 315 BYTES_TO_T_UINT_8( 0x7D, 0x6C, 0xE0, 0xEA, 0xB1, 0xD1, 0xA5, 0x1D ),
kenjiArai 0:5b88d5760320 316 BYTES_TO_T_UINT_8( 0x34, 0xF4, 0xB7, 0x80, 0x02, 0x7D, 0xB0, 0x26 ),
kenjiArai 0:5b88d5760320 317 BYTES_TO_T_UINT_8( 0xAE, 0xE9, 0x57, 0xC0, 0x0E, 0xF1, 0x4F, 0xDB ),
kenjiArai 0:5b88d5760320 318 };
kenjiArai 0:5b88d5760320 319 static const mbedtls_mpi_uint secp192k1_gy[] = {
kenjiArai 0:5b88d5760320 320 BYTES_TO_T_UINT_8( 0x9D, 0x2F, 0x5E, 0xD9, 0x88, 0xAA, 0x82, 0x40 ),
kenjiArai 0:5b88d5760320 321 BYTES_TO_T_UINT_8( 0x34, 0x86, 0xBE, 0x15, 0xD0, 0x63, 0x41, 0x84 ),
kenjiArai 0:5b88d5760320 322 BYTES_TO_T_UINT_8( 0xA7, 0x28, 0x56, 0x9C, 0x6D, 0x2F, 0x2F, 0x9B ),
kenjiArai 0:5b88d5760320 323 };
kenjiArai 0:5b88d5760320 324 static const mbedtls_mpi_uint secp192k1_n[] = {
kenjiArai 0:5b88d5760320 325 BYTES_TO_T_UINT_8( 0x8D, 0xFD, 0xDE, 0x74, 0x6A, 0x46, 0x69, 0x0F ),
kenjiArai 0:5b88d5760320 326 BYTES_TO_T_UINT_8( 0x17, 0xFC, 0xF2, 0x26, 0xFE, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 327 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 328 };
kenjiArai 0:5b88d5760320 329 #endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED */
kenjiArai 0:5b88d5760320 330
kenjiArai 0:5b88d5760320 331 #if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
kenjiArai 0:5b88d5760320 332 static const mbedtls_mpi_uint secp224k1_p[] = {
kenjiArai 0:5b88d5760320 333 BYTES_TO_T_UINT_8( 0x6D, 0xE5, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 334 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 335 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 336 BYTES_TO_T_UINT_4( 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 337 };
kenjiArai 0:5b88d5760320 338 static const mbedtls_mpi_uint secp224k1_a[] = {
kenjiArai 0:5b88d5760320 339 BYTES_TO_T_UINT_2( 0x00, 0x00 ),
kenjiArai 0:5b88d5760320 340 };
kenjiArai 0:5b88d5760320 341 static const mbedtls_mpi_uint secp224k1_b[] = {
kenjiArai 0:5b88d5760320 342 BYTES_TO_T_UINT_2( 0x05, 0x00 ),
kenjiArai 0:5b88d5760320 343 };
kenjiArai 0:5b88d5760320 344 static const mbedtls_mpi_uint secp224k1_gx[] = {
kenjiArai 0:5b88d5760320 345 BYTES_TO_T_UINT_8( 0x5C, 0xA4, 0xB7, 0xB6, 0x0E, 0x65, 0x7E, 0x0F ),
kenjiArai 0:5b88d5760320 346 BYTES_TO_T_UINT_8( 0xA9, 0x75, 0x70, 0xE4, 0xE9, 0x67, 0xA4, 0x69 ),
kenjiArai 0:5b88d5760320 347 BYTES_TO_T_UINT_8( 0xA1, 0x28, 0xFC, 0x30, 0xDF, 0x99, 0xF0, 0x4D ),
kenjiArai 0:5b88d5760320 348 BYTES_TO_T_UINT_4( 0x33, 0x5B, 0x45, 0xA1 ),
kenjiArai 0:5b88d5760320 349 };
kenjiArai 0:5b88d5760320 350 static const mbedtls_mpi_uint secp224k1_gy[] = {
kenjiArai 0:5b88d5760320 351 BYTES_TO_T_UINT_8( 0xA5, 0x61, 0x6D, 0x55, 0xDB, 0x4B, 0xCA, 0xE2 ),
kenjiArai 0:5b88d5760320 352 BYTES_TO_T_UINT_8( 0x59, 0xBD, 0xB0, 0xC0, 0xF7, 0x19, 0xE3, 0xF7 ),
kenjiArai 0:5b88d5760320 353 BYTES_TO_T_UINT_8( 0xD6, 0xFB, 0xCA, 0x82, 0x42, 0x34, 0xBA, 0x7F ),
kenjiArai 0:5b88d5760320 354 BYTES_TO_T_UINT_4( 0xED, 0x9F, 0x08, 0x7E ),
kenjiArai 0:5b88d5760320 355 };
kenjiArai 0:5b88d5760320 356 static const mbedtls_mpi_uint secp224k1_n[] = {
kenjiArai 0:5b88d5760320 357 BYTES_TO_T_UINT_8( 0xF7, 0xB1, 0x9F, 0x76, 0x71, 0xA9, 0xF0, 0xCA ),
kenjiArai 0:5b88d5760320 358 BYTES_TO_T_UINT_8( 0x84, 0x61, 0xEC, 0xD2, 0xE8, 0xDC, 0x01, 0x00 ),
kenjiArai 0:5b88d5760320 359 BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
kenjiArai 0:5b88d5760320 360 BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ),
kenjiArai 0:5b88d5760320 361 };
kenjiArai 0:5b88d5760320 362 #endif /* MBEDTLS_ECP_DP_SECP224K1_ENABLED */
kenjiArai 0:5b88d5760320 363
kenjiArai 0:5b88d5760320 364 #if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
kenjiArai 0:5b88d5760320 365 static const mbedtls_mpi_uint secp256k1_p[] = {
kenjiArai 0:5b88d5760320 366 BYTES_TO_T_UINT_8( 0x2F, 0xFC, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 367 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 368 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 369 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 370 };
kenjiArai 0:5b88d5760320 371 static const mbedtls_mpi_uint secp256k1_a[] = {
kenjiArai 0:5b88d5760320 372 BYTES_TO_T_UINT_2( 0x00, 0x00 ),
kenjiArai 0:5b88d5760320 373 };
kenjiArai 0:5b88d5760320 374 static const mbedtls_mpi_uint secp256k1_b[] = {
kenjiArai 0:5b88d5760320 375 BYTES_TO_T_UINT_2( 0x07, 0x00 ),
kenjiArai 0:5b88d5760320 376 };
kenjiArai 0:5b88d5760320 377 static const mbedtls_mpi_uint secp256k1_gx[] = {
kenjiArai 0:5b88d5760320 378 BYTES_TO_T_UINT_8( 0x98, 0x17, 0xF8, 0x16, 0x5B, 0x81, 0xF2, 0x59 ),
kenjiArai 0:5b88d5760320 379 BYTES_TO_T_UINT_8( 0xD9, 0x28, 0xCE, 0x2D, 0xDB, 0xFC, 0x9B, 0x02 ),
kenjiArai 0:5b88d5760320 380 BYTES_TO_T_UINT_8( 0x07, 0x0B, 0x87, 0xCE, 0x95, 0x62, 0xA0, 0x55 ),
kenjiArai 0:5b88d5760320 381 BYTES_TO_T_UINT_8( 0xAC, 0xBB, 0xDC, 0xF9, 0x7E, 0x66, 0xBE, 0x79 ),
kenjiArai 0:5b88d5760320 382 };
kenjiArai 0:5b88d5760320 383 static const mbedtls_mpi_uint secp256k1_gy[] = {
kenjiArai 0:5b88d5760320 384 BYTES_TO_T_UINT_8( 0xB8, 0xD4, 0x10, 0xFB, 0x8F, 0xD0, 0x47, 0x9C ),
kenjiArai 0:5b88d5760320 385 BYTES_TO_T_UINT_8( 0x19, 0x54, 0x85, 0xA6, 0x48, 0xB4, 0x17, 0xFD ),
kenjiArai 0:5b88d5760320 386 BYTES_TO_T_UINT_8( 0xA8, 0x08, 0x11, 0x0E, 0xFC, 0xFB, 0xA4, 0x5D ),
kenjiArai 0:5b88d5760320 387 BYTES_TO_T_UINT_8( 0x65, 0xC4, 0xA3, 0x26, 0x77, 0xDA, 0x3A, 0x48 ),
kenjiArai 0:5b88d5760320 388 };
kenjiArai 0:5b88d5760320 389 static const mbedtls_mpi_uint secp256k1_n[] = {
kenjiArai 0:5b88d5760320 390 BYTES_TO_T_UINT_8( 0x41, 0x41, 0x36, 0xD0, 0x8C, 0x5E, 0xD2, 0xBF ),
kenjiArai 0:5b88d5760320 391 BYTES_TO_T_UINT_8( 0x3B, 0xA0, 0x48, 0xAF, 0xE6, 0xDC, 0xAE, 0xBA ),
kenjiArai 0:5b88d5760320 392 BYTES_TO_T_UINT_8( 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 393 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
kenjiArai 0:5b88d5760320 394 };
kenjiArai 0:5b88d5760320 395 #endif /* MBEDTLS_ECP_DP_SECP256K1_ENABLED */
kenjiArai 0:5b88d5760320 396
kenjiArai 0:5b88d5760320 397 /*
kenjiArai 0:5b88d5760320 398 * Domain parameters for brainpoolP256r1 (RFC 5639 3.4)
kenjiArai 0:5b88d5760320 399 */
kenjiArai 0:5b88d5760320 400 #if defined(MBEDTLS_ECP_DP_BP256R1_ENABLED)
kenjiArai 0:5b88d5760320 401 static const mbedtls_mpi_uint brainpoolP256r1_p[] = {
kenjiArai 0:5b88d5760320 402 BYTES_TO_T_UINT_8( 0x77, 0x53, 0x6E, 0x1F, 0x1D, 0x48, 0x13, 0x20 ),
kenjiArai 0:5b88d5760320 403 BYTES_TO_T_UINT_8( 0x28, 0x20, 0x26, 0xD5, 0x23, 0xF6, 0x3B, 0x6E ),
kenjiArai 0:5b88d5760320 404 BYTES_TO_T_UINT_8( 0x72, 0x8D, 0x83, 0x9D, 0x90, 0x0A, 0x66, 0x3E ),
kenjiArai 0:5b88d5760320 405 BYTES_TO_T_UINT_8( 0xBC, 0xA9, 0xEE, 0xA1, 0xDB, 0x57, 0xFB, 0xA9 ),
kenjiArai 0:5b88d5760320 406 };
kenjiArai 0:5b88d5760320 407 static const mbedtls_mpi_uint brainpoolP256r1_a[] = {
kenjiArai 0:5b88d5760320 408 BYTES_TO_T_UINT_8( 0xD9, 0xB5, 0x30, 0xF3, 0x44, 0x4B, 0x4A, 0xE9 ),
kenjiArai 0:5b88d5760320 409 BYTES_TO_T_UINT_8( 0x6C, 0x5C, 0xDC, 0x26, 0xC1, 0x55, 0x80, 0xFB ),
kenjiArai 0:5b88d5760320 410 BYTES_TO_T_UINT_8( 0xE7, 0xFF, 0x7A, 0x41, 0x30, 0x75, 0xF6, 0xEE ),
kenjiArai 0:5b88d5760320 411 BYTES_TO_T_UINT_8( 0x57, 0x30, 0x2C, 0xFC, 0x75, 0x09, 0x5A, 0x7D ),
kenjiArai 0:5b88d5760320 412 };
kenjiArai 0:5b88d5760320 413 static const mbedtls_mpi_uint brainpoolP256r1_b[] = {
kenjiArai 0:5b88d5760320 414 BYTES_TO_T_UINT_8( 0xB6, 0x07, 0x8C, 0xFF, 0x18, 0xDC, 0xCC, 0x6B ),
kenjiArai 0:5b88d5760320 415 BYTES_TO_T_UINT_8( 0xCE, 0xE1, 0xF7, 0x5C, 0x29, 0x16, 0x84, 0x95 ),
kenjiArai 0:5b88d5760320 416 BYTES_TO_T_UINT_8( 0xBF, 0x7C, 0xD7, 0xBB, 0xD9, 0xB5, 0x30, 0xF3 ),
kenjiArai 0:5b88d5760320 417 BYTES_TO_T_UINT_8( 0x44, 0x4B, 0x4A, 0xE9, 0x6C, 0x5C, 0xDC, 0x26 ),
kenjiArai 0:5b88d5760320 418 };
kenjiArai 0:5b88d5760320 419 static const mbedtls_mpi_uint brainpoolP256r1_gx[] = {
kenjiArai 0:5b88d5760320 420 BYTES_TO_T_UINT_8( 0x62, 0x32, 0xCE, 0x9A, 0xBD, 0x53, 0x44, 0x3A ),
kenjiArai 0:5b88d5760320 421 BYTES_TO_T_UINT_8( 0xC2, 0x23, 0xBD, 0xE3, 0xE1, 0x27, 0xDE, 0xB9 ),
kenjiArai 0:5b88d5760320 422 BYTES_TO_T_UINT_8( 0xAF, 0xB7, 0x81, 0xFC, 0x2F, 0x48, 0x4B, 0x2C ),
kenjiArai 0:5b88d5760320 423 BYTES_TO_T_UINT_8( 0xCB, 0x57, 0x7E, 0xCB, 0xB9, 0xAE, 0xD2, 0x8B ),
kenjiArai 0:5b88d5760320 424 };
kenjiArai 0:5b88d5760320 425 static const mbedtls_mpi_uint brainpoolP256r1_gy[] = {
kenjiArai 0:5b88d5760320 426 BYTES_TO_T_UINT_8( 0x97, 0x69, 0x04, 0x2F, 0xC7, 0x54, 0x1D, 0x5C ),
kenjiArai 0:5b88d5760320 427 BYTES_TO_T_UINT_8( 0x54, 0x8E, 0xED, 0x2D, 0x13, 0x45, 0x77, 0xC2 ),
kenjiArai 0:5b88d5760320 428 BYTES_TO_T_UINT_8( 0xC9, 0x1D, 0x61, 0x14, 0x1A, 0x46, 0xF8, 0x97 ),
kenjiArai 0:5b88d5760320 429 BYTES_TO_T_UINT_8( 0xFD, 0xC4, 0xDA, 0xC3, 0x35, 0xF8, 0x7E, 0x54 ),
kenjiArai 0:5b88d5760320 430 };
kenjiArai 0:5b88d5760320 431 static const mbedtls_mpi_uint brainpoolP256r1_n[] = {
kenjiArai 0:5b88d5760320 432 BYTES_TO_T_UINT_8( 0xA7, 0x56, 0x48, 0x97, 0x82, 0x0E, 0x1E, 0x90 ),
kenjiArai 0:5b88d5760320 433 BYTES_TO_T_UINT_8( 0xF7, 0xA6, 0x61, 0xB5, 0xA3, 0x7A, 0x39, 0x8C ),
kenjiArai 0:5b88d5760320 434 BYTES_TO_T_UINT_8( 0x71, 0x8D, 0x83, 0x9D, 0x90, 0x0A, 0x66, 0x3E ),
kenjiArai 0:5b88d5760320 435 BYTES_TO_T_UINT_8( 0xBC, 0xA9, 0xEE, 0xA1, 0xDB, 0x57, 0xFB, 0xA9 ),
kenjiArai 0:5b88d5760320 436 };
kenjiArai 0:5b88d5760320 437 #endif /* MBEDTLS_ECP_DP_BP256R1_ENABLED */
kenjiArai 0:5b88d5760320 438
kenjiArai 0:5b88d5760320 439 /*
kenjiArai 0:5b88d5760320 440 * Domain parameters for brainpoolP384r1 (RFC 5639 3.6)
kenjiArai 0:5b88d5760320 441 */
kenjiArai 0:5b88d5760320 442 #if defined(MBEDTLS_ECP_DP_BP384R1_ENABLED)
kenjiArai 0:5b88d5760320 443 static const mbedtls_mpi_uint brainpoolP384r1_p[] = {
kenjiArai 0:5b88d5760320 444 BYTES_TO_T_UINT_8( 0x53, 0xEC, 0x07, 0x31, 0x13, 0x00, 0x47, 0x87 ),
kenjiArai 0:5b88d5760320 445 BYTES_TO_T_UINT_8( 0x71, 0x1A, 0x1D, 0x90, 0x29, 0xA7, 0xD3, 0xAC ),
kenjiArai 0:5b88d5760320 446 BYTES_TO_T_UINT_8( 0x23, 0x11, 0xB7, 0x7F, 0x19, 0xDA, 0xB1, 0x12 ),
kenjiArai 0:5b88d5760320 447 BYTES_TO_T_UINT_8( 0xB4, 0x56, 0x54, 0xED, 0x09, 0x71, 0x2F, 0x15 ),
kenjiArai 0:5b88d5760320 448 BYTES_TO_T_UINT_8( 0xDF, 0x41, 0xE6, 0x50, 0x7E, 0x6F, 0x5D, 0x0F ),
kenjiArai 0:5b88d5760320 449 BYTES_TO_T_UINT_8( 0x28, 0x6D, 0x38, 0xA3, 0x82, 0x1E, 0xB9, 0x8C ),
kenjiArai 0:5b88d5760320 450 };
kenjiArai 0:5b88d5760320 451 static const mbedtls_mpi_uint brainpoolP384r1_a[] = {
kenjiArai 0:5b88d5760320 452 BYTES_TO_T_UINT_8( 0x26, 0x28, 0xCE, 0x22, 0xDD, 0xC7, 0xA8, 0x04 ),
kenjiArai 0:5b88d5760320 453 BYTES_TO_T_UINT_8( 0xEB, 0xD4, 0x3A, 0x50, 0x4A, 0x81, 0xA5, 0x8A ),
kenjiArai 0:5b88d5760320 454 BYTES_TO_T_UINT_8( 0x0F, 0xF9, 0x91, 0xBA, 0xEF, 0x65, 0x91, 0x13 ),
kenjiArai 0:5b88d5760320 455 BYTES_TO_T_UINT_8( 0x87, 0x27, 0xB2, 0x4F, 0x8E, 0xA2, 0xBE, 0xC2 ),
kenjiArai 0:5b88d5760320 456 BYTES_TO_T_UINT_8( 0xA0, 0xAF, 0x05, 0xCE, 0x0A, 0x08, 0x72, 0x3C ),
kenjiArai 0:5b88d5760320 457 BYTES_TO_T_UINT_8( 0x0C, 0x15, 0x8C, 0x3D, 0xC6, 0x82, 0xC3, 0x7B ),
kenjiArai 0:5b88d5760320 458 };
kenjiArai 0:5b88d5760320 459 static const mbedtls_mpi_uint brainpoolP384r1_b[] = {
kenjiArai 0:5b88d5760320 460 BYTES_TO_T_UINT_8( 0x11, 0x4C, 0x50, 0xFA, 0x96, 0x86, 0xB7, 0x3A ),
kenjiArai 0:5b88d5760320 461 BYTES_TO_T_UINT_8( 0x94, 0xC9, 0xDB, 0x95, 0x02, 0x39, 0xB4, 0x7C ),
kenjiArai 0:5b88d5760320 462 BYTES_TO_T_UINT_8( 0xD5, 0x62, 0xEB, 0x3E, 0xA5, 0x0E, 0x88, 0x2E ),
kenjiArai 0:5b88d5760320 463 BYTES_TO_T_UINT_8( 0xA6, 0xD2, 0xDC, 0x07, 0xE1, 0x7D, 0xB7, 0x2F ),
kenjiArai 0:5b88d5760320 464 BYTES_TO_T_UINT_8( 0x7C, 0x44, 0xF0, 0x16, 0x54, 0xB5, 0x39, 0x8B ),
kenjiArai 0:5b88d5760320 465 BYTES_TO_T_UINT_8( 0x26, 0x28, 0xCE, 0x22, 0xDD, 0xC7, 0xA8, 0x04 ),
kenjiArai 0:5b88d5760320 466 };
kenjiArai 0:5b88d5760320 467 static const mbedtls_mpi_uint brainpoolP384r1_gx[] = {
kenjiArai 0:5b88d5760320 468 BYTES_TO_T_UINT_8( 0x1E, 0xAF, 0xD4, 0x47, 0xE2, 0xB2, 0x87, 0xEF ),
kenjiArai 0:5b88d5760320 469 BYTES_TO_T_UINT_8( 0xAA, 0x46, 0xD6, 0x36, 0x34, 0xE0, 0x26, 0xE8 ),
kenjiArai 0:5b88d5760320 470 BYTES_TO_T_UINT_8( 0xE8, 0x10, 0xBD, 0x0C, 0xFE, 0xCA, 0x7F, 0xDB ),
kenjiArai 0:5b88d5760320 471 BYTES_TO_T_UINT_8( 0xE3, 0x4F, 0xF1, 0x7E, 0xE7, 0xA3, 0x47, 0x88 ),
kenjiArai 0:5b88d5760320 472 BYTES_TO_T_UINT_8( 0x6B, 0x3F, 0xC1, 0xB7, 0x81, 0x3A, 0xA6, 0xA2 ),
kenjiArai 0:5b88d5760320 473 BYTES_TO_T_UINT_8( 0xFF, 0x45, 0xCF, 0x68, 0xF0, 0x64, 0x1C, 0x1D ),
kenjiArai 0:5b88d5760320 474 };
kenjiArai 0:5b88d5760320 475 static const mbedtls_mpi_uint brainpoolP384r1_gy[] = {
kenjiArai 0:5b88d5760320 476 BYTES_TO_T_UINT_8( 0x15, 0x53, 0x3C, 0x26, 0x41, 0x03, 0x82, 0x42 ),
kenjiArai 0:5b88d5760320 477 BYTES_TO_T_UINT_8( 0x11, 0x81, 0x91, 0x77, 0x21, 0x46, 0x46, 0x0E ),
kenjiArai 0:5b88d5760320 478 BYTES_TO_T_UINT_8( 0x28, 0x29, 0x91, 0xF9, 0x4F, 0x05, 0x9C, 0xE1 ),
kenjiArai 0:5b88d5760320 479 BYTES_TO_T_UINT_8( 0x64, 0x58, 0xEC, 0xFE, 0x29, 0x0B, 0xB7, 0x62 ),
kenjiArai 0:5b88d5760320 480 BYTES_TO_T_UINT_8( 0x52, 0xD5, 0xCF, 0x95, 0x8E, 0xEB, 0xB1, 0x5C ),
kenjiArai 0:5b88d5760320 481 BYTES_TO_T_UINT_8( 0xA4, 0xC2, 0xF9, 0x20, 0x75, 0x1D, 0xBE, 0x8A ),
kenjiArai 0:5b88d5760320 482 };
kenjiArai 0:5b88d5760320 483 static const mbedtls_mpi_uint brainpoolP384r1_n[] = {
kenjiArai 0:5b88d5760320 484 BYTES_TO_T_UINT_8( 0x65, 0x65, 0x04, 0xE9, 0x02, 0x32, 0x88, 0x3B ),
kenjiArai 0:5b88d5760320 485 BYTES_TO_T_UINT_8( 0x10, 0xC3, 0x7F, 0x6B, 0xAF, 0xB6, 0x3A, 0xCF ),
kenjiArai 0:5b88d5760320 486 BYTES_TO_T_UINT_8( 0xA7, 0x25, 0x04, 0xAC, 0x6C, 0x6E, 0x16, 0x1F ),
kenjiArai 0:5b88d5760320 487 BYTES_TO_T_UINT_8( 0xB3, 0x56, 0x54, 0xED, 0x09, 0x71, 0x2F, 0x15 ),
kenjiArai 0:5b88d5760320 488 BYTES_TO_T_UINT_8( 0xDF, 0x41, 0xE6, 0x50, 0x7E, 0x6F, 0x5D, 0x0F ),
kenjiArai 0:5b88d5760320 489 BYTES_TO_T_UINT_8( 0x28, 0x6D, 0x38, 0xA3, 0x82, 0x1E, 0xB9, 0x8C ),
kenjiArai 0:5b88d5760320 490 };
kenjiArai 0:5b88d5760320 491 #endif /* MBEDTLS_ECP_DP_BP384R1_ENABLED */
kenjiArai 0:5b88d5760320 492
kenjiArai 0:5b88d5760320 493 /*
kenjiArai 0:5b88d5760320 494 * Domain parameters for brainpoolP512r1 (RFC 5639 3.7)
kenjiArai 0:5b88d5760320 495 */
kenjiArai 0:5b88d5760320 496 #if defined(MBEDTLS_ECP_DP_BP512R1_ENABLED)
kenjiArai 0:5b88d5760320 497 static const mbedtls_mpi_uint brainpoolP512r1_p[] = {
kenjiArai 0:5b88d5760320 498 BYTES_TO_T_UINT_8( 0xF3, 0x48, 0x3A, 0x58, 0x56, 0x60, 0xAA, 0x28 ),
kenjiArai 0:5b88d5760320 499 BYTES_TO_T_UINT_8( 0x85, 0xC6, 0x82, 0x2D, 0x2F, 0xFF, 0x81, 0x28 ),
kenjiArai 0:5b88d5760320 500 BYTES_TO_T_UINT_8( 0xE6, 0x80, 0xA3, 0xE6, 0x2A, 0xA1, 0xCD, 0xAE ),
kenjiArai 0:5b88d5760320 501 BYTES_TO_T_UINT_8( 0x42, 0x68, 0xC6, 0x9B, 0x00, 0x9B, 0x4D, 0x7D ),
kenjiArai 0:5b88d5760320 502 BYTES_TO_T_UINT_8( 0x71, 0x08, 0x33, 0x70, 0xCA, 0x9C, 0x63, 0xD6 ),
kenjiArai 0:5b88d5760320 503 BYTES_TO_T_UINT_8( 0x0E, 0xD2, 0xC9, 0xB3, 0xB3, 0x8D, 0x30, 0xCB ),
kenjiArai 0:5b88d5760320 504 BYTES_TO_T_UINT_8( 0x07, 0xFC, 0xC9, 0x33, 0xAE, 0xE6, 0xD4, 0x3F ),
kenjiArai 0:5b88d5760320 505 BYTES_TO_T_UINT_8( 0x8B, 0xC4, 0xE9, 0xDB, 0xB8, 0x9D, 0xDD, 0xAA ),
kenjiArai 0:5b88d5760320 506 };
kenjiArai 0:5b88d5760320 507 static const mbedtls_mpi_uint brainpoolP512r1_a[] = {
kenjiArai 0:5b88d5760320 508 BYTES_TO_T_UINT_8( 0xCA, 0x94, 0xFC, 0x77, 0x4D, 0xAC, 0xC1, 0xE7 ),
kenjiArai 0:5b88d5760320 509 BYTES_TO_T_UINT_8( 0xB9, 0xC7, 0xF2, 0x2B, 0xA7, 0x17, 0x11, 0x7F ),
kenjiArai 0:5b88d5760320 510 BYTES_TO_T_UINT_8( 0xB5, 0xC8, 0x9A, 0x8B, 0xC9, 0xF1, 0x2E, 0x0A ),
kenjiArai 0:5b88d5760320 511 BYTES_TO_T_UINT_8( 0xA1, 0x3A, 0x25, 0xA8, 0x5A, 0x5D, 0xED, 0x2D ),
kenjiArai 0:5b88d5760320 512 BYTES_TO_T_UINT_8( 0xBC, 0x63, 0x98, 0xEA, 0xCA, 0x41, 0x34, 0xA8 ),
kenjiArai 0:5b88d5760320 513 BYTES_TO_T_UINT_8( 0x10, 0x16, 0xF9, 0x3D, 0x8D, 0xDD, 0xCB, 0x94 ),
kenjiArai 0:5b88d5760320 514 BYTES_TO_T_UINT_8( 0xC5, 0x4C, 0x23, 0xAC, 0x45, 0x71, 0x32, 0xE2 ),
kenjiArai 0:5b88d5760320 515 BYTES_TO_T_UINT_8( 0x89, 0x3B, 0x60, 0x8B, 0x31, 0xA3, 0x30, 0x78 ),
kenjiArai 0:5b88d5760320 516 };
kenjiArai 0:5b88d5760320 517 static const mbedtls_mpi_uint brainpoolP512r1_b[] = {
kenjiArai 0:5b88d5760320 518 BYTES_TO_T_UINT_8( 0x23, 0xF7, 0x16, 0x80, 0x63, 0xBD, 0x09, 0x28 ),
kenjiArai 0:5b88d5760320 519 BYTES_TO_T_UINT_8( 0xDD, 0xE5, 0xBA, 0x5E, 0xB7, 0x50, 0x40, 0x98 ),
kenjiArai 0:5b88d5760320 520 BYTES_TO_T_UINT_8( 0x67, 0x3E, 0x08, 0xDC, 0xCA, 0x94, 0xFC, 0x77 ),
kenjiArai 0:5b88d5760320 521 BYTES_TO_T_UINT_8( 0x4D, 0xAC, 0xC1, 0xE7, 0xB9, 0xC7, 0xF2, 0x2B ),
kenjiArai 0:5b88d5760320 522 BYTES_TO_T_UINT_8( 0xA7, 0x17, 0x11, 0x7F, 0xB5, 0xC8, 0x9A, 0x8B ),
kenjiArai 0:5b88d5760320 523 BYTES_TO_T_UINT_8( 0xC9, 0xF1, 0x2E, 0x0A, 0xA1, 0x3A, 0x25, 0xA8 ),
kenjiArai 0:5b88d5760320 524 BYTES_TO_T_UINT_8( 0x5A, 0x5D, 0xED, 0x2D, 0xBC, 0x63, 0x98, 0xEA ),
kenjiArai 0:5b88d5760320 525 BYTES_TO_T_UINT_8( 0xCA, 0x41, 0x34, 0xA8, 0x10, 0x16, 0xF9, 0x3D ),
kenjiArai 0:5b88d5760320 526 };
kenjiArai 0:5b88d5760320 527 static const mbedtls_mpi_uint brainpoolP512r1_gx[] = {
kenjiArai 0:5b88d5760320 528 BYTES_TO_T_UINT_8( 0x22, 0xF8, 0xB9, 0xBC, 0x09, 0x22, 0x35, 0x8B ),
kenjiArai 0:5b88d5760320 529 BYTES_TO_T_UINT_8( 0x68, 0x5E, 0x6A, 0x40, 0x47, 0x50, 0x6D, 0x7C ),
kenjiArai 0:5b88d5760320 530 BYTES_TO_T_UINT_8( 0x5F, 0x7D, 0xB9, 0x93, 0x7B, 0x68, 0xD1, 0x50 ),
kenjiArai 0:5b88d5760320 531 BYTES_TO_T_UINT_8( 0x8D, 0xD4, 0xD0, 0xE2, 0x78, 0x1F, 0x3B, 0xFF ),
kenjiArai 0:5b88d5760320 532 BYTES_TO_T_UINT_8( 0x8E, 0x09, 0xD0, 0xF4, 0xEE, 0x62, 0x3B, 0xB4 ),
kenjiArai 0:5b88d5760320 533 BYTES_TO_T_UINT_8( 0xC1, 0x16, 0xD9, 0xB5, 0x70, 0x9F, 0xED, 0x85 ),
kenjiArai 0:5b88d5760320 534 BYTES_TO_T_UINT_8( 0x93, 0x6A, 0x4C, 0x9C, 0x2E, 0x32, 0x21, 0x5A ),
kenjiArai 0:5b88d5760320 535 BYTES_TO_T_UINT_8( 0x64, 0xD9, 0x2E, 0xD8, 0xBD, 0xE4, 0xAE, 0x81 ),
kenjiArai 0:5b88d5760320 536 };
kenjiArai 0:5b88d5760320 537 static const mbedtls_mpi_uint brainpoolP512r1_gy[] = {
kenjiArai 0:5b88d5760320 538 BYTES_TO_T_UINT_8( 0x92, 0x08, 0xD8, 0x3A, 0x0F, 0x1E, 0xCD, 0x78 ),
kenjiArai 0:5b88d5760320 539 BYTES_TO_T_UINT_8( 0x06, 0x54, 0xF0, 0xA8, 0x2F, 0x2B, 0xCA, 0xD1 ),
kenjiArai 0:5b88d5760320 540 BYTES_TO_T_UINT_8( 0xAE, 0x63, 0x27, 0x8A, 0xD8, 0x4B, 0xCA, 0x5B ),
kenjiArai 0:5b88d5760320 541 BYTES_TO_T_UINT_8( 0x5E, 0x48, 0x5F, 0x4A, 0x49, 0xDE, 0xDC, 0xB2 ),
kenjiArai 0:5b88d5760320 542 BYTES_TO_T_UINT_8( 0x11, 0x81, 0x1F, 0x88, 0x5B, 0xC5, 0x00, 0xA0 ),
kenjiArai 0:5b88d5760320 543 BYTES_TO_T_UINT_8( 0x1A, 0x7B, 0xA5, 0x24, 0x00, 0xF7, 0x09, 0xF2 ),
kenjiArai 0:5b88d5760320 544 BYTES_TO_T_UINT_8( 0xFD, 0x22, 0x78, 0xCF, 0xA9, 0xBF, 0xEA, 0xC0 ),
kenjiArai 0:5b88d5760320 545 BYTES_TO_T_UINT_8( 0xEC, 0x32, 0x63, 0x56, 0x5D, 0x38, 0xDE, 0x7D ),
kenjiArai 0:5b88d5760320 546 };
kenjiArai 0:5b88d5760320 547 static const mbedtls_mpi_uint brainpoolP512r1_n[] = {
kenjiArai 0:5b88d5760320 548 BYTES_TO_T_UINT_8( 0x69, 0x00, 0xA9, 0x9C, 0x82, 0x96, 0x87, 0xB5 ),
kenjiArai 0:5b88d5760320 549 BYTES_TO_T_UINT_8( 0xDD, 0xDA, 0x5D, 0x08, 0x81, 0xD3, 0xB1, 0x1D ),
kenjiArai 0:5b88d5760320 550 BYTES_TO_T_UINT_8( 0x47, 0x10, 0xAC, 0x7F, 0x19, 0x61, 0x86, 0x41 ),
kenjiArai 0:5b88d5760320 551 BYTES_TO_T_UINT_8( 0x19, 0x26, 0xA9, 0x4C, 0x41, 0x5C, 0x3E, 0x55 ),
kenjiArai 0:5b88d5760320 552 BYTES_TO_T_UINT_8( 0x70, 0x08, 0x33, 0x70, 0xCA, 0x9C, 0x63, 0xD6 ),
kenjiArai 0:5b88d5760320 553 BYTES_TO_T_UINT_8( 0x0E, 0xD2, 0xC9, 0xB3, 0xB3, 0x8D, 0x30, 0xCB ),
kenjiArai 0:5b88d5760320 554 BYTES_TO_T_UINT_8( 0x07, 0xFC, 0xC9, 0x33, 0xAE, 0xE6, 0xD4, 0x3F ),
kenjiArai 0:5b88d5760320 555 BYTES_TO_T_UINT_8( 0x8B, 0xC4, 0xE9, 0xDB, 0xB8, 0x9D, 0xDD, 0xAA ),
kenjiArai 0:5b88d5760320 556 };
kenjiArai 0:5b88d5760320 557 #endif /* MBEDTLS_ECP_DP_BP512R1_ENABLED */
kenjiArai 0:5b88d5760320 558
kenjiArai 0:5b88d5760320 559 /*
kenjiArai 0:5b88d5760320 560 * Create an MPI from embedded constants
kenjiArai 0:5b88d5760320 561 * (assumes len is an exact multiple of sizeof mbedtls_mpi_uint)
kenjiArai 0:5b88d5760320 562 */
kenjiArai 0:5b88d5760320 563 static inline void ecp_mpi_load( mbedtls_mpi *X, const mbedtls_mpi_uint *p, size_t len )
kenjiArai 0:5b88d5760320 564 {
kenjiArai 0:5b88d5760320 565 X->s = 1;
kenjiArai 0:5b88d5760320 566 X->n = len / sizeof( mbedtls_mpi_uint );
kenjiArai 0:5b88d5760320 567 X->p = (mbedtls_mpi_uint *) p;
kenjiArai 0:5b88d5760320 568 }
kenjiArai 0:5b88d5760320 569
kenjiArai 0:5b88d5760320 570 /*
kenjiArai 0:5b88d5760320 571 * Set an MPI to static value 1
kenjiArai 0:5b88d5760320 572 */
kenjiArai 0:5b88d5760320 573 static inline void ecp_mpi_set1( mbedtls_mpi *X )
kenjiArai 0:5b88d5760320 574 {
kenjiArai 0:5b88d5760320 575 static mbedtls_mpi_uint one[] = { 1 };
kenjiArai 0:5b88d5760320 576 X->s = 1;
kenjiArai 0:5b88d5760320 577 X->n = 1;
kenjiArai 0:5b88d5760320 578 X->p = one;
kenjiArai 0:5b88d5760320 579 }
kenjiArai 0:5b88d5760320 580
kenjiArai 0:5b88d5760320 581 /*
kenjiArai 0:5b88d5760320 582 * Make group available from embedded constants
kenjiArai 0:5b88d5760320 583 */
kenjiArai 0:5b88d5760320 584 static int ecp_group_load( mbedtls_ecp_group *grp,
kenjiArai 0:5b88d5760320 585 const mbedtls_mpi_uint *p, size_t plen,
kenjiArai 0:5b88d5760320 586 const mbedtls_mpi_uint *a, size_t alen,
kenjiArai 0:5b88d5760320 587 const mbedtls_mpi_uint *b, size_t blen,
kenjiArai 0:5b88d5760320 588 const mbedtls_mpi_uint *gx, size_t gxlen,
kenjiArai 0:5b88d5760320 589 const mbedtls_mpi_uint *gy, size_t gylen,
kenjiArai 0:5b88d5760320 590 const mbedtls_mpi_uint *n, size_t nlen)
kenjiArai 0:5b88d5760320 591 {
kenjiArai 0:5b88d5760320 592 ecp_mpi_load( &grp->P, p, plen );
kenjiArai 0:5b88d5760320 593 if( a != NULL )
kenjiArai 0:5b88d5760320 594 ecp_mpi_load( &grp->A, a, alen );
kenjiArai 0:5b88d5760320 595 ecp_mpi_load( &grp->B, b, blen );
kenjiArai 0:5b88d5760320 596 ecp_mpi_load( &grp->N, n, nlen );
kenjiArai 0:5b88d5760320 597
kenjiArai 0:5b88d5760320 598 ecp_mpi_load( &grp->G.X, gx, gxlen );
kenjiArai 0:5b88d5760320 599 ecp_mpi_load( &grp->G.Y, gy, gylen );
kenjiArai 0:5b88d5760320 600 ecp_mpi_set1( &grp->G.Z );
kenjiArai 0:5b88d5760320 601
kenjiArai 0:5b88d5760320 602 grp->pbits = mbedtls_mpi_bitlen( &grp->P );
kenjiArai 0:5b88d5760320 603 grp->nbits = mbedtls_mpi_bitlen( &grp->N );
kenjiArai 0:5b88d5760320 604
kenjiArai 0:5b88d5760320 605 grp->h = 1;
kenjiArai 0:5b88d5760320 606
kenjiArai 0:5b88d5760320 607 return( 0 );
kenjiArai 0:5b88d5760320 608 }
kenjiArai 0:5b88d5760320 609
kenjiArai 0:5b88d5760320 610 #if defined(MBEDTLS_ECP_NIST_OPTIM)
kenjiArai 0:5b88d5760320 611 /* Forward declarations */
kenjiArai 0:5b88d5760320 612 #if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
kenjiArai 0:5b88d5760320 613 static int ecp_mod_p192( mbedtls_mpi * );
kenjiArai 0:5b88d5760320 614 #endif
kenjiArai 0:5b88d5760320 615 #if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
kenjiArai 0:5b88d5760320 616 static int ecp_mod_p224( mbedtls_mpi * );
kenjiArai 0:5b88d5760320 617 #endif
kenjiArai 0:5b88d5760320 618 #if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
kenjiArai 0:5b88d5760320 619 static int ecp_mod_p256( mbedtls_mpi * );
kenjiArai 0:5b88d5760320 620 #endif
kenjiArai 0:5b88d5760320 621 #if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
kenjiArai 0:5b88d5760320 622 static int ecp_mod_p384( mbedtls_mpi * );
kenjiArai 0:5b88d5760320 623 #endif
kenjiArai 0:5b88d5760320 624 #if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
kenjiArai 0:5b88d5760320 625 static int ecp_mod_p521( mbedtls_mpi * );
kenjiArai 0:5b88d5760320 626 #endif
kenjiArai 0:5b88d5760320 627
kenjiArai 0:5b88d5760320 628 #define NIST_MODP( P ) grp->modp = ecp_mod_ ## P;
kenjiArai 0:5b88d5760320 629 #else
kenjiArai 0:5b88d5760320 630 #define NIST_MODP( P )
kenjiArai 0:5b88d5760320 631 #endif /* MBEDTLS_ECP_NIST_OPTIM */
kenjiArai 0:5b88d5760320 632
kenjiArai 0:5b88d5760320 633 /* Additional forward declarations */
kenjiArai 0:5b88d5760320 634 #if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
kenjiArai 0:5b88d5760320 635 static int ecp_mod_p255( mbedtls_mpi * );
kenjiArai 0:5b88d5760320 636 #endif
kenjiArai 0:5b88d5760320 637 #if defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
kenjiArai 0:5b88d5760320 638 static int ecp_mod_p448( mbedtls_mpi * );
kenjiArai 0:5b88d5760320 639 #endif
kenjiArai 0:5b88d5760320 640 #if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
kenjiArai 0:5b88d5760320 641 static int ecp_mod_p192k1( mbedtls_mpi * );
kenjiArai 0:5b88d5760320 642 #endif
kenjiArai 0:5b88d5760320 643 #if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
kenjiArai 0:5b88d5760320 644 static int ecp_mod_p224k1( mbedtls_mpi * );
kenjiArai 0:5b88d5760320 645 #endif
kenjiArai 0:5b88d5760320 646 #if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
kenjiArai 0:5b88d5760320 647 static int ecp_mod_p256k1( mbedtls_mpi * );
kenjiArai 0:5b88d5760320 648 #endif
kenjiArai 0:5b88d5760320 649
kenjiArai 0:5b88d5760320 650 #define LOAD_GROUP_A( G ) ecp_group_load( grp, \
kenjiArai 0:5b88d5760320 651 G ## _p, sizeof( G ## _p ), \
kenjiArai 0:5b88d5760320 652 G ## _a, sizeof( G ## _a ), \
kenjiArai 0:5b88d5760320 653 G ## _b, sizeof( G ## _b ), \
kenjiArai 0:5b88d5760320 654 G ## _gx, sizeof( G ## _gx ), \
kenjiArai 0:5b88d5760320 655 G ## _gy, sizeof( G ## _gy ), \
kenjiArai 0:5b88d5760320 656 G ## _n, sizeof( G ## _n ) )
kenjiArai 0:5b88d5760320 657
kenjiArai 0:5b88d5760320 658 #define LOAD_GROUP( G ) ecp_group_load( grp, \
kenjiArai 0:5b88d5760320 659 G ## _p, sizeof( G ## _p ), \
kenjiArai 0:5b88d5760320 660 NULL, 0, \
kenjiArai 0:5b88d5760320 661 G ## _b, sizeof( G ## _b ), \
kenjiArai 0:5b88d5760320 662 G ## _gx, sizeof( G ## _gx ), \
kenjiArai 0:5b88d5760320 663 G ## _gy, sizeof( G ## _gy ), \
kenjiArai 0:5b88d5760320 664 G ## _n, sizeof( G ## _n ) )
kenjiArai 0:5b88d5760320 665
kenjiArai 0:5b88d5760320 666 #if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
kenjiArai 0:5b88d5760320 667 /*
kenjiArai 0:5b88d5760320 668 * Specialized function for creating the Curve25519 group
kenjiArai 0:5b88d5760320 669 */
kenjiArai 0:5b88d5760320 670 static int ecp_use_curve25519( mbedtls_ecp_group *grp )
kenjiArai 0:5b88d5760320 671 {
kenjiArai 0:5b88d5760320 672 int ret;
kenjiArai 0:5b88d5760320 673
kenjiArai 0:5b88d5760320 674 /* Actually ( A + 2 ) / 4 */
kenjiArai 0:5b88d5760320 675 MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &grp->A, 16, "01DB42" ) );
kenjiArai 0:5b88d5760320 676
kenjiArai 0:5b88d5760320 677 /* P = 2^255 - 19 */
kenjiArai 0:5b88d5760320 678 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->P, 1 ) );
kenjiArai 0:5b88d5760320 679 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_l( &grp->P, 255 ) );
kenjiArai 0:5b88d5760320 680 MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &grp->P, &grp->P, 19 ) );
kenjiArai 0:5b88d5760320 681 grp->pbits = mbedtls_mpi_bitlen( &grp->P );
kenjiArai 0:5b88d5760320 682
kenjiArai 0:5b88d5760320 683 /* N = 2^252 + 27742317777372353535851937790883648493 */
kenjiArai 0:5b88d5760320 684 MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &grp->N, 16,
kenjiArai 0:5b88d5760320 685 "14DEF9DEA2F79CD65812631A5CF5D3ED" ) );
kenjiArai 0:5b88d5760320 686 MBEDTLS_MPI_CHK( mbedtls_mpi_set_bit( &grp->N, 252, 1 ) );
kenjiArai 0:5b88d5760320 687
kenjiArai 0:5b88d5760320 688 /* Y intentionally not set, since we use x/z coordinates.
kenjiArai 0:5b88d5760320 689 * This is used as a marker to identify Montgomery curves! */
kenjiArai 0:5b88d5760320 690 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->G.X, 9 ) );
kenjiArai 0:5b88d5760320 691 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->G.Z, 1 ) );
kenjiArai 0:5b88d5760320 692 mbedtls_mpi_free( &grp->G.Y );
kenjiArai 0:5b88d5760320 693
kenjiArai 0:5b88d5760320 694 /* Actually, the required msb for private keys */
kenjiArai 0:5b88d5760320 695 grp->nbits = 254;
kenjiArai 0:5b88d5760320 696
kenjiArai 0:5b88d5760320 697 cleanup:
kenjiArai 0:5b88d5760320 698 if( ret != 0 )
kenjiArai 0:5b88d5760320 699 mbedtls_ecp_group_free( grp );
kenjiArai 0:5b88d5760320 700
kenjiArai 0:5b88d5760320 701 return( ret );
kenjiArai 0:5b88d5760320 702 }
kenjiArai 0:5b88d5760320 703 #endif /* MBEDTLS_ECP_DP_CURVE25519_ENABLED */
kenjiArai 0:5b88d5760320 704
kenjiArai 0:5b88d5760320 705 #if defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
kenjiArai 0:5b88d5760320 706 /*
kenjiArai 0:5b88d5760320 707 * Specialized function for creating the Curve448 group
kenjiArai 0:5b88d5760320 708 */
kenjiArai 0:5b88d5760320 709 static int ecp_use_curve448( mbedtls_ecp_group *grp )
kenjiArai 0:5b88d5760320 710 {
kenjiArai 0:5b88d5760320 711 mbedtls_mpi Ns;
kenjiArai 0:5b88d5760320 712 int ret;
kenjiArai 0:5b88d5760320 713
kenjiArai 0:5b88d5760320 714 mbedtls_mpi_init( &Ns );
kenjiArai 0:5b88d5760320 715
kenjiArai 0:5b88d5760320 716 /* Actually ( A + 2 ) / 4 */
kenjiArai 0:5b88d5760320 717 MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &grp->A, 16, "98AA" ) );
kenjiArai 0:5b88d5760320 718
kenjiArai 0:5b88d5760320 719 /* P = 2^448 - 2^224 - 1 */
kenjiArai 0:5b88d5760320 720 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->P, 1 ) );
kenjiArai 0:5b88d5760320 721 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_l( &grp->P, 224 ) );
kenjiArai 0:5b88d5760320 722 MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &grp->P, &grp->P, 1 ) );
kenjiArai 0:5b88d5760320 723 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_l( &grp->P, 224 ) );
kenjiArai 0:5b88d5760320 724 MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &grp->P, &grp->P, 1 ) );
kenjiArai 0:5b88d5760320 725 grp->pbits = mbedtls_mpi_bitlen( &grp->P );
kenjiArai 0:5b88d5760320 726
kenjiArai 0:5b88d5760320 727 /* Y intentionally not set, since we use x/z coordinates.
kenjiArai 0:5b88d5760320 728 * This is used as a marker to identify Montgomery curves! */
kenjiArai 0:5b88d5760320 729 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->G.X, 5 ) );
kenjiArai 0:5b88d5760320 730 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->G.Z, 1 ) );
kenjiArai 0:5b88d5760320 731 mbedtls_mpi_free( &grp->G.Y );
kenjiArai 0:5b88d5760320 732
kenjiArai 0:5b88d5760320 733 /* N = 2^446 - 13818066809895115352007386748515426880336692474882178609894547503885 */
kenjiArai 0:5b88d5760320 734 MBEDTLS_MPI_CHK( mbedtls_mpi_set_bit( &grp->N, 446, 1 ) );
kenjiArai 0:5b88d5760320 735 MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &Ns, 16,
kenjiArai 0:5b88d5760320 736 "8335DC163BB124B65129C96FDE933D8D723A70AADC873D6D54A7BB0D" ) );
kenjiArai 0:5b88d5760320 737 MBEDTLS_MPI_CHK( mbedtls_mpi_sub_mpi( &grp->N, &grp->N, &Ns ) );
kenjiArai 0:5b88d5760320 738
kenjiArai 0:5b88d5760320 739 /* Actually, the required msb for private keys */
kenjiArai 0:5b88d5760320 740 grp->nbits = 447;
kenjiArai 0:5b88d5760320 741
kenjiArai 0:5b88d5760320 742 cleanup:
kenjiArai 0:5b88d5760320 743 mbedtls_mpi_free( &Ns );
kenjiArai 0:5b88d5760320 744 if( ret != 0 )
kenjiArai 0:5b88d5760320 745 mbedtls_ecp_group_free( grp );
kenjiArai 0:5b88d5760320 746
kenjiArai 0:5b88d5760320 747 return( ret );
kenjiArai 0:5b88d5760320 748 }
kenjiArai 0:5b88d5760320 749 #endif /* MBEDTLS_ECP_DP_CURVE448_ENABLED */
kenjiArai 0:5b88d5760320 750
kenjiArai 0:5b88d5760320 751 /*
kenjiArai 0:5b88d5760320 752 * Set a group using well-known domain parameters
kenjiArai 0:5b88d5760320 753 */
kenjiArai 0:5b88d5760320 754 int mbedtls_ecp_group_load( mbedtls_ecp_group *grp, mbedtls_ecp_group_id id )
kenjiArai 0:5b88d5760320 755 {
kenjiArai 0:5b88d5760320 756 ECP_VALIDATE_RET( grp != NULL );
kenjiArai 0:5b88d5760320 757 mbedtls_ecp_group_free( grp );
kenjiArai 0:5b88d5760320 758
kenjiArai 0:5b88d5760320 759 grp->id = id;
kenjiArai 0:5b88d5760320 760
kenjiArai 0:5b88d5760320 761 switch( id )
kenjiArai 0:5b88d5760320 762 {
kenjiArai 0:5b88d5760320 763 #if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
kenjiArai 0:5b88d5760320 764 case MBEDTLS_ECP_DP_SECP192R1:
kenjiArai 0:5b88d5760320 765 NIST_MODP( p192 );
kenjiArai 0:5b88d5760320 766 return( LOAD_GROUP( secp192r1 ) );
kenjiArai 0:5b88d5760320 767 #endif /* MBEDTLS_ECP_DP_SECP192R1_ENABLED */
kenjiArai 0:5b88d5760320 768
kenjiArai 0:5b88d5760320 769 #if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
kenjiArai 0:5b88d5760320 770 case MBEDTLS_ECP_DP_SECP224R1:
kenjiArai 0:5b88d5760320 771 NIST_MODP( p224 );
kenjiArai 0:5b88d5760320 772 return( LOAD_GROUP( secp224r1 ) );
kenjiArai 0:5b88d5760320 773 #endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED */
kenjiArai 0:5b88d5760320 774
kenjiArai 0:5b88d5760320 775 #if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
kenjiArai 0:5b88d5760320 776 case MBEDTLS_ECP_DP_SECP256R1:
kenjiArai 0:5b88d5760320 777 NIST_MODP( p256 );
kenjiArai 0:5b88d5760320 778 return( LOAD_GROUP( secp256r1 ) );
kenjiArai 0:5b88d5760320 779 #endif /* MBEDTLS_ECP_DP_SECP256R1_ENABLED */
kenjiArai 0:5b88d5760320 780
kenjiArai 0:5b88d5760320 781 #if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
kenjiArai 0:5b88d5760320 782 case MBEDTLS_ECP_DP_SECP384R1:
kenjiArai 0:5b88d5760320 783 NIST_MODP( p384 );
kenjiArai 0:5b88d5760320 784 return( LOAD_GROUP( secp384r1 ) );
kenjiArai 0:5b88d5760320 785 #endif /* MBEDTLS_ECP_DP_SECP384R1_ENABLED */
kenjiArai 0:5b88d5760320 786
kenjiArai 0:5b88d5760320 787 #if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
kenjiArai 0:5b88d5760320 788 case MBEDTLS_ECP_DP_SECP521R1:
kenjiArai 0:5b88d5760320 789 NIST_MODP( p521 );
kenjiArai 0:5b88d5760320 790 return( LOAD_GROUP( secp521r1 ) );
kenjiArai 0:5b88d5760320 791 #endif /* MBEDTLS_ECP_DP_SECP521R1_ENABLED */
kenjiArai 0:5b88d5760320 792
kenjiArai 0:5b88d5760320 793 #if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
kenjiArai 0:5b88d5760320 794 case MBEDTLS_ECP_DP_SECP192K1:
kenjiArai 0:5b88d5760320 795 grp->modp = ecp_mod_p192k1;
kenjiArai 0:5b88d5760320 796 return( LOAD_GROUP_A( secp192k1 ) );
kenjiArai 0:5b88d5760320 797 #endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED */
kenjiArai 0:5b88d5760320 798
kenjiArai 0:5b88d5760320 799 #if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
kenjiArai 0:5b88d5760320 800 case MBEDTLS_ECP_DP_SECP224K1:
kenjiArai 0:5b88d5760320 801 grp->modp = ecp_mod_p224k1;
kenjiArai 0:5b88d5760320 802 return( LOAD_GROUP_A( secp224k1 ) );
kenjiArai 0:5b88d5760320 803 #endif /* MBEDTLS_ECP_DP_SECP224K1_ENABLED */
kenjiArai 0:5b88d5760320 804
kenjiArai 0:5b88d5760320 805 #if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
kenjiArai 0:5b88d5760320 806 case MBEDTLS_ECP_DP_SECP256K1:
kenjiArai 0:5b88d5760320 807 grp->modp = ecp_mod_p256k1;
kenjiArai 0:5b88d5760320 808 return( LOAD_GROUP_A( secp256k1 ) );
kenjiArai 0:5b88d5760320 809 #endif /* MBEDTLS_ECP_DP_SECP256K1_ENABLED */
kenjiArai 0:5b88d5760320 810
kenjiArai 0:5b88d5760320 811 #if defined(MBEDTLS_ECP_DP_BP256R1_ENABLED)
kenjiArai 0:5b88d5760320 812 case MBEDTLS_ECP_DP_BP256R1:
kenjiArai 0:5b88d5760320 813 return( LOAD_GROUP_A( brainpoolP256r1 ) );
kenjiArai 0:5b88d5760320 814 #endif /* MBEDTLS_ECP_DP_BP256R1_ENABLED */
kenjiArai 0:5b88d5760320 815
kenjiArai 0:5b88d5760320 816 #if defined(MBEDTLS_ECP_DP_BP384R1_ENABLED)
kenjiArai 0:5b88d5760320 817 case MBEDTLS_ECP_DP_BP384R1:
kenjiArai 0:5b88d5760320 818 return( LOAD_GROUP_A( brainpoolP384r1 ) );
kenjiArai 0:5b88d5760320 819 #endif /* MBEDTLS_ECP_DP_BP384R1_ENABLED */
kenjiArai 0:5b88d5760320 820
kenjiArai 0:5b88d5760320 821 #if defined(MBEDTLS_ECP_DP_BP512R1_ENABLED)
kenjiArai 0:5b88d5760320 822 case MBEDTLS_ECP_DP_BP512R1:
kenjiArai 0:5b88d5760320 823 return( LOAD_GROUP_A( brainpoolP512r1 ) );
kenjiArai 0:5b88d5760320 824 #endif /* MBEDTLS_ECP_DP_BP512R1_ENABLED */
kenjiArai 0:5b88d5760320 825
kenjiArai 0:5b88d5760320 826 #if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
kenjiArai 0:5b88d5760320 827 case MBEDTLS_ECP_DP_CURVE25519:
kenjiArai 0:5b88d5760320 828 grp->modp = ecp_mod_p255;
kenjiArai 0:5b88d5760320 829 return( ecp_use_curve25519( grp ) );
kenjiArai 0:5b88d5760320 830 #endif /* MBEDTLS_ECP_DP_CURVE25519_ENABLED */
kenjiArai 0:5b88d5760320 831
kenjiArai 0:5b88d5760320 832 #if defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
kenjiArai 0:5b88d5760320 833 case MBEDTLS_ECP_DP_CURVE448:
kenjiArai 0:5b88d5760320 834 grp->modp = ecp_mod_p448;
kenjiArai 0:5b88d5760320 835 return( ecp_use_curve448( grp ) );
kenjiArai 0:5b88d5760320 836 #endif /* MBEDTLS_ECP_DP_CURVE448_ENABLED */
kenjiArai 0:5b88d5760320 837
kenjiArai 0:5b88d5760320 838 default:
kenjiArai 1:9db0e321a9f4 839 grp->id = MBEDTLS_ECP_DP_NONE;
kenjiArai 0:5b88d5760320 840 return( MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE );
kenjiArai 0:5b88d5760320 841 }
kenjiArai 0:5b88d5760320 842 }
kenjiArai 0:5b88d5760320 843
kenjiArai 0:5b88d5760320 844 #if defined(MBEDTLS_ECP_NIST_OPTIM)
kenjiArai 0:5b88d5760320 845 /*
kenjiArai 0:5b88d5760320 846 * Fast reduction modulo the primes used by the NIST curves.
kenjiArai 0:5b88d5760320 847 *
kenjiArai 0:5b88d5760320 848 * These functions are critical for speed, but not needed for correct
kenjiArai 0:5b88d5760320 849 * operations. So, we make the choice to heavily rely on the internals of our
kenjiArai 0:5b88d5760320 850 * bignum library, which creates a tight coupling between these functions and
kenjiArai 0:5b88d5760320 851 * our MPI implementation. However, the coupling between the ECP module and
kenjiArai 0:5b88d5760320 852 * MPI remains loose, since these functions can be deactivated at will.
kenjiArai 0:5b88d5760320 853 */
kenjiArai 0:5b88d5760320 854
kenjiArai 0:5b88d5760320 855 #if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
kenjiArai 0:5b88d5760320 856 /*
kenjiArai 0:5b88d5760320 857 * Compared to the way things are presented in FIPS 186-3 D.2,
kenjiArai 0:5b88d5760320 858 * we proceed in columns, from right (least significant chunk) to left,
kenjiArai 0:5b88d5760320 859 * adding chunks to N in place, and keeping a carry for the next chunk.
kenjiArai 0:5b88d5760320 860 * This avoids moving things around in memory, and uselessly adding zeros,
kenjiArai 0:5b88d5760320 861 * compared to the more straightforward, line-oriented approach.
kenjiArai 0:5b88d5760320 862 *
kenjiArai 0:5b88d5760320 863 * For this prime we need to handle data in chunks of 64 bits.
kenjiArai 0:5b88d5760320 864 * Since this is always a multiple of our basic mbedtls_mpi_uint, we can
kenjiArai 0:5b88d5760320 865 * use a mbedtls_mpi_uint * to designate such a chunk, and small loops to handle it.
kenjiArai 0:5b88d5760320 866 */
kenjiArai 0:5b88d5760320 867
kenjiArai 0:5b88d5760320 868 /* Add 64-bit chunks (dst += src) and update carry */
kenjiArai 0:5b88d5760320 869 static inline void add64( mbedtls_mpi_uint *dst, mbedtls_mpi_uint *src, mbedtls_mpi_uint *carry )
kenjiArai 0:5b88d5760320 870 {
kenjiArai 0:5b88d5760320 871 unsigned char i;
kenjiArai 0:5b88d5760320 872 mbedtls_mpi_uint c = 0;
kenjiArai 0:5b88d5760320 873 for( i = 0; i < 8 / sizeof( mbedtls_mpi_uint ); i++, dst++, src++ )
kenjiArai 0:5b88d5760320 874 {
kenjiArai 0:5b88d5760320 875 *dst += c; c = ( *dst < c );
kenjiArai 0:5b88d5760320 876 *dst += *src; c += ( *dst < *src );
kenjiArai 0:5b88d5760320 877 }
kenjiArai 0:5b88d5760320 878 *carry += c;
kenjiArai 0:5b88d5760320 879 }
kenjiArai 0:5b88d5760320 880
kenjiArai 0:5b88d5760320 881 /* Add carry to a 64-bit chunk and update carry */
kenjiArai 0:5b88d5760320 882 static inline void carry64( mbedtls_mpi_uint *dst, mbedtls_mpi_uint *carry )
kenjiArai 0:5b88d5760320 883 {
kenjiArai 0:5b88d5760320 884 unsigned char i;
kenjiArai 0:5b88d5760320 885 for( i = 0; i < 8 / sizeof( mbedtls_mpi_uint ); i++, dst++ )
kenjiArai 0:5b88d5760320 886 {
kenjiArai 0:5b88d5760320 887 *dst += *carry;
kenjiArai 0:5b88d5760320 888 *carry = ( *dst < *carry );
kenjiArai 0:5b88d5760320 889 }
kenjiArai 0:5b88d5760320 890 }
kenjiArai 0:5b88d5760320 891
kenjiArai 0:5b88d5760320 892 #define WIDTH 8 / sizeof( mbedtls_mpi_uint )
kenjiArai 0:5b88d5760320 893 #define A( i ) N->p + (i) * WIDTH
kenjiArai 0:5b88d5760320 894 #define ADD( i ) add64( p, A( i ), &c )
kenjiArai 0:5b88d5760320 895 #define NEXT p += WIDTH; carry64( p, &c )
kenjiArai 0:5b88d5760320 896 #define LAST p += WIDTH; *p = c; while( ++p < end ) *p = 0
kenjiArai 0:5b88d5760320 897
kenjiArai 0:5b88d5760320 898 /*
kenjiArai 0:5b88d5760320 899 * Fast quasi-reduction modulo p192 (FIPS 186-3 D.2.1)
kenjiArai 0:5b88d5760320 900 */
kenjiArai 0:5b88d5760320 901 static int ecp_mod_p192( mbedtls_mpi *N )
kenjiArai 0:5b88d5760320 902 {
kenjiArai 0:5b88d5760320 903 int ret;
kenjiArai 0:5b88d5760320 904 mbedtls_mpi_uint c = 0;
kenjiArai 0:5b88d5760320 905 mbedtls_mpi_uint *p, *end;
kenjiArai 0:5b88d5760320 906
kenjiArai 0:5b88d5760320 907 /* Make sure we have enough blocks so that A(5) is legal */
kenjiArai 0:5b88d5760320 908 MBEDTLS_MPI_CHK( mbedtls_mpi_grow( N, 6 * WIDTH ) );
kenjiArai 0:5b88d5760320 909
kenjiArai 0:5b88d5760320 910 p = N->p;
kenjiArai 0:5b88d5760320 911 end = p + N->n;
kenjiArai 0:5b88d5760320 912
kenjiArai 0:5b88d5760320 913 ADD( 3 ); ADD( 5 ); NEXT; // A0 += A3 + A5
kenjiArai 0:5b88d5760320 914 ADD( 3 ); ADD( 4 ); ADD( 5 ); NEXT; // A1 += A3 + A4 + A5
kenjiArai 0:5b88d5760320 915 ADD( 4 ); ADD( 5 ); LAST; // A2 += A4 + A5
kenjiArai 0:5b88d5760320 916
kenjiArai 0:5b88d5760320 917 cleanup:
kenjiArai 0:5b88d5760320 918 return( ret );
kenjiArai 0:5b88d5760320 919 }
kenjiArai 0:5b88d5760320 920
kenjiArai 0:5b88d5760320 921 #undef WIDTH
kenjiArai 0:5b88d5760320 922 #undef A
kenjiArai 0:5b88d5760320 923 #undef ADD
kenjiArai 0:5b88d5760320 924 #undef NEXT
kenjiArai 0:5b88d5760320 925 #undef LAST
kenjiArai 0:5b88d5760320 926 #endif /* MBEDTLS_ECP_DP_SECP192R1_ENABLED */
kenjiArai 0:5b88d5760320 927
kenjiArai 0:5b88d5760320 928 #if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED) || \
kenjiArai 0:5b88d5760320 929 defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED) || \
kenjiArai 0:5b88d5760320 930 defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
kenjiArai 0:5b88d5760320 931 /*
kenjiArai 0:5b88d5760320 932 * The reader is advised to first understand ecp_mod_p192() since the same
kenjiArai 0:5b88d5760320 933 * general structure is used here, but with additional complications:
kenjiArai 0:5b88d5760320 934 * (1) chunks of 32 bits, and (2) subtractions.
kenjiArai 0:5b88d5760320 935 */
kenjiArai 0:5b88d5760320 936
kenjiArai 0:5b88d5760320 937 /*
kenjiArai 0:5b88d5760320 938 * For these primes, we need to handle data in chunks of 32 bits.
kenjiArai 0:5b88d5760320 939 * This makes it more complicated if we use 64 bits limbs in MPI,
kenjiArai 0:5b88d5760320 940 * which prevents us from using a uniform access method as for p192.
kenjiArai 0:5b88d5760320 941 *
kenjiArai 0:5b88d5760320 942 * So, we define a mini abstraction layer to access 32 bit chunks,
kenjiArai 0:5b88d5760320 943 * load them in 'cur' for work, and store them back from 'cur' when done.
kenjiArai 0:5b88d5760320 944 *
kenjiArai 0:5b88d5760320 945 * While at it, also define the size of N in terms of 32-bit chunks.
kenjiArai 0:5b88d5760320 946 */
kenjiArai 0:5b88d5760320 947 #define LOAD32 cur = A( i );
kenjiArai 0:5b88d5760320 948
kenjiArai 0:5b88d5760320 949 #if defined(MBEDTLS_HAVE_INT32) /* 32 bit */
kenjiArai 0:5b88d5760320 950
kenjiArai 0:5b88d5760320 951 #define MAX32 N->n
kenjiArai 0:5b88d5760320 952 #define A( j ) N->p[j]
kenjiArai 0:5b88d5760320 953 #define STORE32 N->p[i] = cur;
kenjiArai 0:5b88d5760320 954
kenjiArai 0:5b88d5760320 955 #else /* 64-bit */
kenjiArai 0:5b88d5760320 956
kenjiArai 0:5b88d5760320 957 #define MAX32 N->n * 2
kenjiArai 0:5b88d5760320 958 #define A( j ) (j) % 2 ? (uint32_t)( N->p[(j)/2] >> 32 ) : \
kenjiArai 0:5b88d5760320 959 (uint32_t)( N->p[(j)/2] )
kenjiArai 0:5b88d5760320 960 #define STORE32 \
kenjiArai 0:5b88d5760320 961 if( i % 2 ) { \
kenjiArai 0:5b88d5760320 962 N->p[i/2] &= 0x00000000FFFFFFFF; \
kenjiArai 0:5b88d5760320 963 N->p[i/2] |= ((mbedtls_mpi_uint) cur) << 32; \
kenjiArai 0:5b88d5760320 964 } else { \
kenjiArai 0:5b88d5760320 965 N->p[i/2] &= 0xFFFFFFFF00000000; \
kenjiArai 0:5b88d5760320 966 N->p[i/2] |= (mbedtls_mpi_uint) cur; \
kenjiArai 0:5b88d5760320 967 }
kenjiArai 0:5b88d5760320 968
kenjiArai 0:5b88d5760320 969 #endif /* sizeof( mbedtls_mpi_uint ) */
kenjiArai 0:5b88d5760320 970
kenjiArai 0:5b88d5760320 971 /*
kenjiArai 0:5b88d5760320 972 * Helpers for addition and subtraction of chunks, with signed carry.
kenjiArai 0:5b88d5760320 973 */
kenjiArai 0:5b88d5760320 974 static inline void add32( uint32_t *dst, uint32_t src, signed char *carry )
kenjiArai 0:5b88d5760320 975 {
kenjiArai 0:5b88d5760320 976 *dst += src;
kenjiArai 0:5b88d5760320 977 *carry += ( *dst < src );
kenjiArai 0:5b88d5760320 978 }
kenjiArai 0:5b88d5760320 979
kenjiArai 0:5b88d5760320 980 static inline void sub32( uint32_t *dst, uint32_t src, signed char *carry )
kenjiArai 0:5b88d5760320 981 {
kenjiArai 0:5b88d5760320 982 *carry -= ( *dst < src );
kenjiArai 0:5b88d5760320 983 *dst -= src;
kenjiArai 0:5b88d5760320 984 }
kenjiArai 0:5b88d5760320 985
kenjiArai 0:5b88d5760320 986 #define ADD( j ) add32( &cur, A( j ), &c );
kenjiArai 0:5b88d5760320 987 #define SUB( j ) sub32( &cur, A( j ), &c );
kenjiArai 0:5b88d5760320 988
kenjiArai 0:5b88d5760320 989 /*
kenjiArai 0:5b88d5760320 990 * Helpers for the main 'loop'
kenjiArai 0:5b88d5760320 991 * (see fix_negative for the motivation of C)
kenjiArai 0:5b88d5760320 992 */
kenjiArai 0:5b88d5760320 993 #define INIT( b ) \
kenjiArai 0:5b88d5760320 994 int ret; \
kenjiArai 0:5b88d5760320 995 signed char c = 0, cc; \
kenjiArai 0:5b88d5760320 996 uint32_t cur; \
kenjiArai 0:5b88d5760320 997 size_t i = 0, bits = (b); \
kenjiArai 0:5b88d5760320 998 mbedtls_mpi C; \
kenjiArai 0:5b88d5760320 999 mbedtls_mpi_uint Cp[ (b) / 8 / sizeof( mbedtls_mpi_uint) + 1 ]; \
kenjiArai 0:5b88d5760320 1000 \
kenjiArai 0:5b88d5760320 1001 C.s = 1; \
kenjiArai 0:5b88d5760320 1002 C.n = (b) / 8 / sizeof( mbedtls_mpi_uint) + 1; \
kenjiArai 0:5b88d5760320 1003 C.p = Cp; \
kenjiArai 0:5b88d5760320 1004 memset( Cp, 0, C.n * sizeof( mbedtls_mpi_uint ) ); \
kenjiArai 0:5b88d5760320 1005 \
kenjiArai 0:5b88d5760320 1006 MBEDTLS_MPI_CHK( mbedtls_mpi_grow( N, (b) * 2 / 8 / \
kenjiArai 0:5b88d5760320 1007 sizeof( mbedtls_mpi_uint ) ) ); \
kenjiArai 0:5b88d5760320 1008 LOAD32;
kenjiArai 0:5b88d5760320 1009
kenjiArai 0:5b88d5760320 1010 #define NEXT \
kenjiArai 0:5b88d5760320 1011 STORE32; i++; LOAD32; \
kenjiArai 0:5b88d5760320 1012 cc = c; c = 0; \
kenjiArai 0:5b88d5760320 1013 if( cc < 0 ) \
kenjiArai 0:5b88d5760320 1014 sub32( &cur, -cc, &c ); \
kenjiArai 0:5b88d5760320 1015 else \
kenjiArai 0:5b88d5760320 1016 add32( &cur, cc, &c ); \
kenjiArai 0:5b88d5760320 1017
kenjiArai 0:5b88d5760320 1018 #define LAST \
kenjiArai 0:5b88d5760320 1019 STORE32; i++; \
kenjiArai 0:5b88d5760320 1020 cur = c > 0 ? c : 0; STORE32; \
kenjiArai 0:5b88d5760320 1021 cur = 0; while( ++i < MAX32 ) { STORE32; } \
kenjiArai 0:5b88d5760320 1022 if( c < 0 ) fix_negative( N, c, &C, bits );
kenjiArai 0:5b88d5760320 1023
kenjiArai 0:5b88d5760320 1024 /*
kenjiArai 0:5b88d5760320 1025 * If the result is negative, we get it in the form
kenjiArai 0:5b88d5760320 1026 * c * 2^(bits + 32) + N, with c negative and N positive shorter than 'bits'
kenjiArai 0:5b88d5760320 1027 */
kenjiArai 0:5b88d5760320 1028 static inline int fix_negative( mbedtls_mpi *N, signed char c, mbedtls_mpi *C, size_t bits )
kenjiArai 0:5b88d5760320 1029 {
kenjiArai 0:5b88d5760320 1030 int ret;
kenjiArai 0:5b88d5760320 1031
kenjiArai 0:5b88d5760320 1032 /* C = - c * 2^(bits + 32) */
kenjiArai 0:5b88d5760320 1033 #if !defined(MBEDTLS_HAVE_INT64)
kenjiArai 0:5b88d5760320 1034 ((void) bits);
kenjiArai 0:5b88d5760320 1035 #else
kenjiArai 0:5b88d5760320 1036 if( bits == 224 )
kenjiArai 0:5b88d5760320 1037 C->p[ C->n - 1 ] = ((mbedtls_mpi_uint) -c) << 32;
kenjiArai 0:5b88d5760320 1038 else
kenjiArai 0:5b88d5760320 1039 #endif
kenjiArai 0:5b88d5760320 1040 C->p[ C->n - 1 ] = (mbedtls_mpi_uint) -c;
kenjiArai 0:5b88d5760320 1041
kenjiArai 0:5b88d5760320 1042 /* N = - ( C - N ) */
kenjiArai 0:5b88d5760320 1043 MBEDTLS_MPI_CHK( mbedtls_mpi_sub_abs( N, C, N ) );
kenjiArai 0:5b88d5760320 1044 N->s = -1;
kenjiArai 0:5b88d5760320 1045
kenjiArai 0:5b88d5760320 1046 cleanup:
kenjiArai 0:5b88d5760320 1047
kenjiArai 0:5b88d5760320 1048 return( ret );
kenjiArai 0:5b88d5760320 1049 }
kenjiArai 0:5b88d5760320 1050
kenjiArai 0:5b88d5760320 1051 #if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
kenjiArai 0:5b88d5760320 1052 /*
kenjiArai 0:5b88d5760320 1053 * Fast quasi-reduction modulo p224 (FIPS 186-3 D.2.2)
kenjiArai 0:5b88d5760320 1054 */
kenjiArai 0:5b88d5760320 1055 static int ecp_mod_p224( mbedtls_mpi *N )
kenjiArai 0:5b88d5760320 1056 {
kenjiArai 0:5b88d5760320 1057 INIT( 224 );
kenjiArai 0:5b88d5760320 1058
kenjiArai 0:5b88d5760320 1059 SUB( 7 ); SUB( 11 ); NEXT; // A0 += -A7 - A11
kenjiArai 0:5b88d5760320 1060 SUB( 8 ); SUB( 12 ); NEXT; // A1 += -A8 - A12
kenjiArai 0:5b88d5760320 1061 SUB( 9 ); SUB( 13 ); NEXT; // A2 += -A9 - A13
kenjiArai 0:5b88d5760320 1062 SUB( 10 ); ADD( 7 ); ADD( 11 ); NEXT; // A3 += -A10 + A7 + A11
kenjiArai 0:5b88d5760320 1063 SUB( 11 ); ADD( 8 ); ADD( 12 ); NEXT; // A4 += -A11 + A8 + A12
kenjiArai 0:5b88d5760320 1064 SUB( 12 ); ADD( 9 ); ADD( 13 ); NEXT; // A5 += -A12 + A9 + A13
kenjiArai 0:5b88d5760320 1065 SUB( 13 ); ADD( 10 ); LAST; // A6 += -A13 + A10
kenjiArai 0:5b88d5760320 1066
kenjiArai 0:5b88d5760320 1067 cleanup:
kenjiArai 0:5b88d5760320 1068 return( ret );
kenjiArai 0:5b88d5760320 1069 }
kenjiArai 0:5b88d5760320 1070 #endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED */
kenjiArai 0:5b88d5760320 1071
kenjiArai 0:5b88d5760320 1072 #if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
kenjiArai 0:5b88d5760320 1073 /*
kenjiArai 0:5b88d5760320 1074 * Fast quasi-reduction modulo p256 (FIPS 186-3 D.2.3)
kenjiArai 0:5b88d5760320 1075 */
kenjiArai 0:5b88d5760320 1076 static int ecp_mod_p256( mbedtls_mpi *N )
kenjiArai 0:5b88d5760320 1077 {
kenjiArai 0:5b88d5760320 1078 INIT( 256 );
kenjiArai 0:5b88d5760320 1079
kenjiArai 0:5b88d5760320 1080 ADD( 8 ); ADD( 9 );
kenjiArai 0:5b88d5760320 1081 SUB( 11 ); SUB( 12 ); SUB( 13 ); SUB( 14 ); NEXT; // A0
kenjiArai 0:5b88d5760320 1082
kenjiArai 0:5b88d5760320 1083 ADD( 9 ); ADD( 10 );
kenjiArai 0:5b88d5760320 1084 SUB( 12 ); SUB( 13 ); SUB( 14 ); SUB( 15 ); NEXT; // A1
kenjiArai 0:5b88d5760320 1085
kenjiArai 0:5b88d5760320 1086 ADD( 10 ); ADD( 11 );
kenjiArai 0:5b88d5760320 1087 SUB( 13 ); SUB( 14 ); SUB( 15 ); NEXT; // A2
kenjiArai 0:5b88d5760320 1088
kenjiArai 0:5b88d5760320 1089 ADD( 11 ); ADD( 11 ); ADD( 12 ); ADD( 12 ); ADD( 13 );
kenjiArai 0:5b88d5760320 1090 SUB( 15 ); SUB( 8 ); SUB( 9 ); NEXT; // A3
kenjiArai 0:5b88d5760320 1091
kenjiArai 0:5b88d5760320 1092 ADD( 12 ); ADD( 12 ); ADD( 13 ); ADD( 13 ); ADD( 14 );
kenjiArai 0:5b88d5760320 1093 SUB( 9 ); SUB( 10 ); NEXT; // A4
kenjiArai 0:5b88d5760320 1094
kenjiArai 0:5b88d5760320 1095 ADD( 13 ); ADD( 13 ); ADD( 14 ); ADD( 14 ); ADD( 15 );
kenjiArai 0:5b88d5760320 1096 SUB( 10 ); SUB( 11 ); NEXT; // A5
kenjiArai 0:5b88d5760320 1097
kenjiArai 0:5b88d5760320 1098 ADD( 14 ); ADD( 14 ); ADD( 15 ); ADD( 15 ); ADD( 14 ); ADD( 13 );
kenjiArai 0:5b88d5760320 1099 SUB( 8 ); SUB( 9 ); NEXT; // A6
kenjiArai 0:5b88d5760320 1100
kenjiArai 0:5b88d5760320 1101 ADD( 15 ); ADD( 15 ); ADD( 15 ); ADD( 8 );
kenjiArai 0:5b88d5760320 1102 SUB( 10 ); SUB( 11 ); SUB( 12 ); SUB( 13 ); LAST; // A7
kenjiArai 0:5b88d5760320 1103
kenjiArai 0:5b88d5760320 1104 cleanup:
kenjiArai 0:5b88d5760320 1105 return( ret );
kenjiArai 0:5b88d5760320 1106 }
kenjiArai 0:5b88d5760320 1107 #endif /* MBEDTLS_ECP_DP_SECP256R1_ENABLED */
kenjiArai 0:5b88d5760320 1108
kenjiArai 0:5b88d5760320 1109 #if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
kenjiArai 0:5b88d5760320 1110 /*
kenjiArai 0:5b88d5760320 1111 * Fast quasi-reduction modulo p384 (FIPS 186-3 D.2.4)
kenjiArai 0:5b88d5760320 1112 */
kenjiArai 0:5b88d5760320 1113 static int ecp_mod_p384( mbedtls_mpi *N )
kenjiArai 0:5b88d5760320 1114 {
kenjiArai 0:5b88d5760320 1115 INIT( 384 );
kenjiArai 0:5b88d5760320 1116
kenjiArai 0:5b88d5760320 1117 ADD( 12 ); ADD( 21 ); ADD( 20 );
kenjiArai 0:5b88d5760320 1118 SUB( 23 ); NEXT; // A0
kenjiArai 0:5b88d5760320 1119
kenjiArai 0:5b88d5760320 1120 ADD( 13 ); ADD( 22 ); ADD( 23 );
kenjiArai 0:5b88d5760320 1121 SUB( 12 ); SUB( 20 ); NEXT; // A2
kenjiArai 0:5b88d5760320 1122
kenjiArai 0:5b88d5760320 1123 ADD( 14 ); ADD( 23 );
kenjiArai 0:5b88d5760320 1124 SUB( 13 ); SUB( 21 ); NEXT; // A2
kenjiArai 0:5b88d5760320 1125
kenjiArai 0:5b88d5760320 1126 ADD( 15 ); ADD( 12 ); ADD( 20 ); ADD( 21 );
kenjiArai 0:5b88d5760320 1127 SUB( 14 ); SUB( 22 ); SUB( 23 ); NEXT; // A3
kenjiArai 0:5b88d5760320 1128
kenjiArai 0:5b88d5760320 1129 ADD( 21 ); ADD( 21 ); ADD( 16 ); ADD( 13 ); ADD( 12 ); ADD( 20 ); ADD( 22 );
kenjiArai 0:5b88d5760320 1130 SUB( 15 ); SUB( 23 ); SUB( 23 ); NEXT; // A4
kenjiArai 0:5b88d5760320 1131
kenjiArai 0:5b88d5760320 1132 ADD( 22 ); ADD( 22 ); ADD( 17 ); ADD( 14 ); ADD( 13 ); ADD( 21 ); ADD( 23 );
kenjiArai 0:5b88d5760320 1133 SUB( 16 ); NEXT; // A5
kenjiArai 0:5b88d5760320 1134
kenjiArai 0:5b88d5760320 1135 ADD( 23 ); ADD( 23 ); ADD( 18 ); ADD( 15 ); ADD( 14 ); ADD( 22 );
kenjiArai 0:5b88d5760320 1136 SUB( 17 ); NEXT; // A6
kenjiArai 0:5b88d5760320 1137
kenjiArai 0:5b88d5760320 1138 ADD( 19 ); ADD( 16 ); ADD( 15 ); ADD( 23 );
kenjiArai 0:5b88d5760320 1139 SUB( 18 ); NEXT; // A7
kenjiArai 0:5b88d5760320 1140
kenjiArai 0:5b88d5760320 1141 ADD( 20 ); ADD( 17 ); ADD( 16 );
kenjiArai 0:5b88d5760320 1142 SUB( 19 ); NEXT; // A8
kenjiArai 0:5b88d5760320 1143
kenjiArai 0:5b88d5760320 1144 ADD( 21 ); ADD( 18 ); ADD( 17 );
kenjiArai 0:5b88d5760320 1145 SUB( 20 ); NEXT; // A9
kenjiArai 0:5b88d5760320 1146
kenjiArai 0:5b88d5760320 1147 ADD( 22 ); ADD( 19 ); ADD( 18 );
kenjiArai 0:5b88d5760320 1148 SUB( 21 ); NEXT; // A10
kenjiArai 0:5b88d5760320 1149
kenjiArai 0:5b88d5760320 1150 ADD( 23 ); ADD( 20 ); ADD( 19 );
kenjiArai 0:5b88d5760320 1151 SUB( 22 ); LAST; // A11
kenjiArai 0:5b88d5760320 1152
kenjiArai 0:5b88d5760320 1153 cleanup:
kenjiArai 0:5b88d5760320 1154 return( ret );
kenjiArai 0:5b88d5760320 1155 }
kenjiArai 0:5b88d5760320 1156 #endif /* MBEDTLS_ECP_DP_SECP384R1_ENABLED */
kenjiArai 0:5b88d5760320 1157
kenjiArai 0:5b88d5760320 1158 #undef A
kenjiArai 0:5b88d5760320 1159 #undef LOAD32
kenjiArai 0:5b88d5760320 1160 #undef STORE32
kenjiArai 0:5b88d5760320 1161 #undef MAX32
kenjiArai 0:5b88d5760320 1162 #undef INIT
kenjiArai 0:5b88d5760320 1163 #undef NEXT
kenjiArai 0:5b88d5760320 1164 #undef LAST
kenjiArai 0:5b88d5760320 1165
kenjiArai 0:5b88d5760320 1166 #endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED ||
kenjiArai 0:5b88d5760320 1167 MBEDTLS_ECP_DP_SECP256R1_ENABLED ||
kenjiArai 0:5b88d5760320 1168 MBEDTLS_ECP_DP_SECP384R1_ENABLED */
kenjiArai 0:5b88d5760320 1169
kenjiArai 0:5b88d5760320 1170 #if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
kenjiArai 0:5b88d5760320 1171 /*
kenjiArai 0:5b88d5760320 1172 * Here we have an actual Mersenne prime, so things are more straightforward.
kenjiArai 0:5b88d5760320 1173 * However, chunks are aligned on a 'weird' boundary (521 bits).
kenjiArai 0:5b88d5760320 1174 */
kenjiArai 0:5b88d5760320 1175
kenjiArai 0:5b88d5760320 1176 /* Size of p521 in terms of mbedtls_mpi_uint */
kenjiArai 0:5b88d5760320 1177 #define P521_WIDTH ( 521 / 8 / sizeof( mbedtls_mpi_uint ) + 1 )
kenjiArai 0:5b88d5760320 1178
kenjiArai 0:5b88d5760320 1179 /* Bits to keep in the most significant mbedtls_mpi_uint */
kenjiArai 0:5b88d5760320 1180 #define P521_MASK 0x01FF
kenjiArai 0:5b88d5760320 1181
kenjiArai 0:5b88d5760320 1182 /*
kenjiArai 0:5b88d5760320 1183 * Fast quasi-reduction modulo p521 (FIPS 186-3 D.2.5)
kenjiArai 0:5b88d5760320 1184 * Write N as A1 + 2^521 A0, return A0 + A1
kenjiArai 0:5b88d5760320 1185 */
kenjiArai 0:5b88d5760320 1186 static int ecp_mod_p521( mbedtls_mpi *N )
kenjiArai 0:5b88d5760320 1187 {
kenjiArai 0:5b88d5760320 1188 int ret;
kenjiArai 0:5b88d5760320 1189 size_t i;
kenjiArai 0:5b88d5760320 1190 mbedtls_mpi M;
kenjiArai 0:5b88d5760320 1191 mbedtls_mpi_uint Mp[P521_WIDTH + 1];
kenjiArai 0:5b88d5760320 1192 /* Worst case for the size of M is when mbedtls_mpi_uint is 16 bits:
kenjiArai 0:5b88d5760320 1193 * we need to hold bits 513 to 1056, which is 34 limbs, that is
kenjiArai 0:5b88d5760320 1194 * P521_WIDTH + 1. Otherwise P521_WIDTH is enough. */
kenjiArai 0:5b88d5760320 1195
kenjiArai 0:5b88d5760320 1196 if( N->n < P521_WIDTH )
kenjiArai 0:5b88d5760320 1197 return( 0 );
kenjiArai 0:5b88d5760320 1198
kenjiArai 0:5b88d5760320 1199 /* M = A1 */
kenjiArai 0:5b88d5760320 1200 M.s = 1;
kenjiArai 0:5b88d5760320 1201 M.n = N->n - ( P521_WIDTH - 1 );
kenjiArai 0:5b88d5760320 1202 if( M.n > P521_WIDTH + 1 )
kenjiArai 0:5b88d5760320 1203 M.n = P521_WIDTH + 1;
kenjiArai 0:5b88d5760320 1204 M.p = Mp;
kenjiArai 0:5b88d5760320 1205 memcpy( Mp, N->p + P521_WIDTH - 1, M.n * sizeof( mbedtls_mpi_uint ) );
kenjiArai 0:5b88d5760320 1206 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &M, 521 % ( 8 * sizeof( mbedtls_mpi_uint ) ) ) );
kenjiArai 0:5b88d5760320 1207
kenjiArai 0:5b88d5760320 1208 /* N = A0 */
kenjiArai 0:5b88d5760320 1209 N->p[P521_WIDTH - 1] &= P521_MASK;
kenjiArai 0:5b88d5760320 1210 for( i = P521_WIDTH; i < N->n; i++ )
kenjiArai 0:5b88d5760320 1211 N->p[i] = 0;
kenjiArai 0:5b88d5760320 1212
kenjiArai 0:5b88d5760320 1213 /* N = A0 + A1 */
kenjiArai 0:5b88d5760320 1214 MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( N, N, &M ) );
kenjiArai 0:5b88d5760320 1215
kenjiArai 0:5b88d5760320 1216 cleanup:
kenjiArai 0:5b88d5760320 1217 return( ret );
kenjiArai 0:5b88d5760320 1218 }
kenjiArai 0:5b88d5760320 1219
kenjiArai 0:5b88d5760320 1220 #undef P521_WIDTH
kenjiArai 0:5b88d5760320 1221 #undef P521_MASK
kenjiArai 0:5b88d5760320 1222 #endif /* MBEDTLS_ECP_DP_SECP521R1_ENABLED */
kenjiArai 0:5b88d5760320 1223
kenjiArai 0:5b88d5760320 1224 #endif /* MBEDTLS_ECP_NIST_OPTIM */
kenjiArai 0:5b88d5760320 1225
kenjiArai 0:5b88d5760320 1226 #if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
kenjiArai 0:5b88d5760320 1227
kenjiArai 0:5b88d5760320 1228 /* Size of p255 in terms of mbedtls_mpi_uint */
kenjiArai 0:5b88d5760320 1229 #define P255_WIDTH ( 255 / 8 / sizeof( mbedtls_mpi_uint ) + 1 )
kenjiArai 0:5b88d5760320 1230
kenjiArai 0:5b88d5760320 1231 /*
kenjiArai 0:5b88d5760320 1232 * Fast quasi-reduction modulo p255 = 2^255 - 19
kenjiArai 0:5b88d5760320 1233 * Write N as A0 + 2^255 A1, return A0 + 19 * A1
kenjiArai 0:5b88d5760320 1234 */
kenjiArai 0:5b88d5760320 1235 static int ecp_mod_p255( mbedtls_mpi *N )
kenjiArai 0:5b88d5760320 1236 {
kenjiArai 0:5b88d5760320 1237 int ret;
kenjiArai 0:5b88d5760320 1238 size_t i;
kenjiArai 0:5b88d5760320 1239 mbedtls_mpi M;
kenjiArai 0:5b88d5760320 1240 mbedtls_mpi_uint Mp[P255_WIDTH + 2];
kenjiArai 0:5b88d5760320 1241
kenjiArai 0:5b88d5760320 1242 if( N->n < P255_WIDTH )
kenjiArai 0:5b88d5760320 1243 return( 0 );
kenjiArai 0:5b88d5760320 1244
kenjiArai 0:5b88d5760320 1245 /* M = A1 */
kenjiArai 0:5b88d5760320 1246 M.s = 1;
kenjiArai 0:5b88d5760320 1247 M.n = N->n - ( P255_WIDTH - 1 );
kenjiArai 0:5b88d5760320 1248 if( M.n > P255_WIDTH + 1 )
kenjiArai 0:5b88d5760320 1249 return( MBEDTLS_ERR_ECP_BAD_INPUT_DATA );
kenjiArai 0:5b88d5760320 1250 M.p = Mp;
kenjiArai 0:5b88d5760320 1251 memset( Mp, 0, sizeof Mp );
kenjiArai 0:5b88d5760320 1252 memcpy( Mp, N->p + P255_WIDTH - 1, M.n * sizeof( mbedtls_mpi_uint ) );
kenjiArai 0:5b88d5760320 1253 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &M, 255 % ( 8 * sizeof( mbedtls_mpi_uint ) ) ) );
kenjiArai 0:5b88d5760320 1254 M.n++; /* Make room for multiplication by 19 */
kenjiArai 0:5b88d5760320 1255
kenjiArai 0:5b88d5760320 1256 /* N = A0 */
kenjiArai 0:5b88d5760320 1257 MBEDTLS_MPI_CHK( mbedtls_mpi_set_bit( N, 255, 0 ) );
kenjiArai 0:5b88d5760320 1258 for( i = P255_WIDTH; i < N->n; i++ )
kenjiArai 0:5b88d5760320 1259 N->p[i] = 0;
kenjiArai 0:5b88d5760320 1260
kenjiArai 0:5b88d5760320 1261 /* N = A0 + 19 * A1 */
kenjiArai 0:5b88d5760320 1262 MBEDTLS_MPI_CHK( mbedtls_mpi_mul_int( &M, &M, 19 ) );
kenjiArai 0:5b88d5760320 1263 MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( N, N, &M ) );
kenjiArai 0:5b88d5760320 1264
kenjiArai 0:5b88d5760320 1265 cleanup:
kenjiArai 0:5b88d5760320 1266 return( ret );
kenjiArai 0:5b88d5760320 1267 }
kenjiArai 0:5b88d5760320 1268 #endif /* MBEDTLS_ECP_DP_CURVE25519_ENABLED */
kenjiArai 0:5b88d5760320 1269
kenjiArai 0:5b88d5760320 1270 #if defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
kenjiArai 0:5b88d5760320 1271
kenjiArai 0:5b88d5760320 1272 /* Size of p448 in terms of mbedtls_mpi_uint */
kenjiArai 0:5b88d5760320 1273 #define P448_WIDTH ( 448 / 8 / sizeof( mbedtls_mpi_uint ) )
kenjiArai 0:5b88d5760320 1274
kenjiArai 0:5b88d5760320 1275 /* Number of limbs fully occupied by 2^224 (max), and limbs used by it (min) */
kenjiArai 0:5b88d5760320 1276 #define DIV_ROUND_UP( X, Y ) ( ( ( X ) + ( Y ) - 1 ) / ( Y ) )
kenjiArai 0:5b88d5760320 1277 #define P224_WIDTH_MIN ( 28 / sizeof( mbedtls_mpi_uint ) )
kenjiArai 0:5b88d5760320 1278 #define P224_WIDTH_MAX DIV_ROUND_UP( 28, sizeof( mbedtls_mpi_uint ) )
kenjiArai 0:5b88d5760320 1279 #define P224_UNUSED_BITS ( ( P224_WIDTH_MAX * sizeof( mbedtls_mpi_uint ) * 8 ) - 224 )
kenjiArai 0:5b88d5760320 1280
kenjiArai 0:5b88d5760320 1281 /*
kenjiArai 0:5b88d5760320 1282 * Fast quasi-reduction modulo p448 = 2^448 - 2^224 - 1
kenjiArai 0:5b88d5760320 1283 * Write N as A0 + 2^448 A1 and A1 as B0 + 2^224 B1, and return
kenjiArai 0:5b88d5760320 1284 * A0 + A1 + B1 + (B0 + B1) * 2^224. This is different to the reference
kenjiArai 0:5b88d5760320 1285 * implementation of Curve448, which uses its own special 56-bit limbs rather
kenjiArai 0:5b88d5760320 1286 * than a generic bignum library. We could squeeze some extra speed out on
kenjiArai 0:5b88d5760320 1287 * 32-bit machines by splitting N up into 32-bit limbs and doing the
kenjiArai 0:5b88d5760320 1288 * arithmetic using the limbs directly as we do for the NIST primes above,
kenjiArai 0:5b88d5760320 1289 * but for 64-bit targets it should use half the number of operations if we do
kenjiArai 0:5b88d5760320 1290 * the reduction with 224-bit limbs, since mpi_add_mpi will then use 64-bit adds.
kenjiArai 0:5b88d5760320 1291 */
kenjiArai 0:5b88d5760320 1292 static int ecp_mod_p448( mbedtls_mpi *N )
kenjiArai 0:5b88d5760320 1293 {
kenjiArai 0:5b88d5760320 1294 int ret;
kenjiArai 0:5b88d5760320 1295 size_t i;
kenjiArai 0:5b88d5760320 1296 mbedtls_mpi M, Q;
kenjiArai 0:5b88d5760320 1297 mbedtls_mpi_uint Mp[P448_WIDTH + 1], Qp[P448_WIDTH];
kenjiArai 0:5b88d5760320 1298
kenjiArai 0:5b88d5760320 1299 if( N->n <= P448_WIDTH )
kenjiArai 0:5b88d5760320 1300 return( 0 );
kenjiArai 0:5b88d5760320 1301
kenjiArai 0:5b88d5760320 1302 /* M = A1 */
kenjiArai 0:5b88d5760320 1303 M.s = 1;
kenjiArai 0:5b88d5760320 1304 M.n = N->n - ( P448_WIDTH );
kenjiArai 0:5b88d5760320 1305 if( M.n > P448_WIDTH )
kenjiArai 0:5b88d5760320 1306 /* Shouldn't be called with N larger than 2^896! */
kenjiArai 0:5b88d5760320 1307 return( MBEDTLS_ERR_ECP_BAD_INPUT_DATA );
kenjiArai 0:5b88d5760320 1308 M.p = Mp;
kenjiArai 0:5b88d5760320 1309 memset( Mp, 0, sizeof( Mp ) );
kenjiArai 0:5b88d5760320 1310 memcpy( Mp, N->p + P448_WIDTH, M.n * sizeof( mbedtls_mpi_uint ) );
kenjiArai 0:5b88d5760320 1311
kenjiArai 0:5b88d5760320 1312 /* N = A0 */
kenjiArai 0:5b88d5760320 1313 for( i = P448_WIDTH; i < N->n; i++ )
kenjiArai 0:5b88d5760320 1314 N->p[i] = 0;
kenjiArai 0:5b88d5760320 1315
kenjiArai 0:5b88d5760320 1316 /* N += A1 */
kenjiArai 0:5b88d5760320 1317 MBEDTLS_MPI_CHK( mbedtls_mpi_add_mpi( N, N, &M ) );
kenjiArai 0:5b88d5760320 1318
kenjiArai 0:5b88d5760320 1319 /* Q = B1, N += B1 */
kenjiArai 0:5b88d5760320 1320 Q = M;
kenjiArai 0:5b88d5760320 1321 Q.p = Qp;
kenjiArai 0:5b88d5760320 1322 memcpy( Qp, Mp, sizeof( Qp ) );
kenjiArai 0:5b88d5760320 1323 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &Q, 224 ) );
kenjiArai 0:5b88d5760320 1324 MBEDTLS_MPI_CHK( mbedtls_mpi_add_mpi( N, N, &Q ) );
kenjiArai 0:5b88d5760320 1325
kenjiArai 0:5b88d5760320 1326 /* M = (B0 + B1) * 2^224, N += M */
kenjiArai 0:5b88d5760320 1327 if( sizeof( mbedtls_mpi_uint ) > 4 )
kenjiArai 0:5b88d5760320 1328 Mp[P224_WIDTH_MIN] &= ( (mbedtls_mpi_uint)-1 ) >> ( P224_UNUSED_BITS );
kenjiArai 0:5b88d5760320 1329 for( i = P224_WIDTH_MAX; i < M.n; ++i )
kenjiArai 0:5b88d5760320 1330 Mp[i] = 0;
kenjiArai 0:5b88d5760320 1331 MBEDTLS_MPI_CHK( mbedtls_mpi_add_mpi( &M, &M, &Q ) );
kenjiArai 0:5b88d5760320 1332 M.n = P448_WIDTH + 1; /* Make room for shifted carry bit from the addition */
kenjiArai 0:5b88d5760320 1333 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_l( &M, 224 ) );
kenjiArai 0:5b88d5760320 1334 MBEDTLS_MPI_CHK( mbedtls_mpi_add_mpi( N, N, &M ) );
kenjiArai 0:5b88d5760320 1335
kenjiArai 0:5b88d5760320 1336 cleanup:
kenjiArai 0:5b88d5760320 1337 return( ret );
kenjiArai 0:5b88d5760320 1338 }
kenjiArai 0:5b88d5760320 1339 #endif /* MBEDTLS_ECP_DP_CURVE448_ENABLED */
kenjiArai 0:5b88d5760320 1340
kenjiArai 0:5b88d5760320 1341 #if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED) || \
kenjiArai 0:5b88d5760320 1342 defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED) || \
kenjiArai 0:5b88d5760320 1343 defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
kenjiArai 0:5b88d5760320 1344 /*
kenjiArai 0:5b88d5760320 1345 * Fast quasi-reduction modulo P = 2^s - R,
kenjiArai 0:5b88d5760320 1346 * with R about 33 bits, used by the Koblitz curves.
kenjiArai 0:5b88d5760320 1347 *
kenjiArai 0:5b88d5760320 1348 * Write N as A0 + 2^224 A1, return A0 + R * A1.
kenjiArai 0:5b88d5760320 1349 * Actually do two passes, since R is big.
kenjiArai 0:5b88d5760320 1350 */
kenjiArai 0:5b88d5760320 1351 #define P_KOBLITZ_MAX ( 256 / 8 / sizeof( mbedtls_mpi_uint ) ) // Max limbs in P
kenjiArai 0:5b88d5760320 1352 #define P_KOBLITZ_R ( 8 / sizeof( mbedtls_mpi_uint ) ) // Limbs in R
kenjiArai 0:5b88d5760320 1353 static inline int ecp_mod_koblitz( mbedtls_mpi *N, mbedtls_mpi_uint *Rp, size_t p_limbs,
kenjiArai 0:5b88d5760320 1354 size_t adjust, size_t shift, mbedtls_mpi_uint mask )
kenjiArai 0:5b88d5760320 1355 {
kenjiArai 0:5b88d5760320 1356 int ret;
kenjiArai 0:5b88d5760320 1357 size_t i;
kenjiArai 0:5b88d5760320 1358 mbedtls_mpi M, R;
kenjiArai 0:5b88d5760320 1359 mbedtls_mpi_uint Mp[P_KOBLITZ_MAX + P_KOBLITZ_R + 1];
kenjiArai 0:5b88d5760320 1360
kenjiArai 0:5b88d5760320 1361 if( N->n < p_limbs )
kenjiArai 0:5b88d5760320 1362 return( 0 );
kenjiArai 0:5b88d5760320 1363
kenjiArai 0:5b88d5760320 1364 /* Init R */
kenjiArai 0:5b88d5760320 1365 R.s = 1;
kenjiArai 0:5b88d5760320 1366 R.p = Rp;
kenjiArai 0:5b88d5760320 1367 R.n = P_KOBLITZ_R;
kenjiArai 0:5b88d5760320 1368
kenjiArai 0:5b88d5760320 1369 /* Common setup for M */
kenjiArai 0:5b88d5760320 1370 M.s = 1;
kenjiArai 0:5b88d5760320 1371 M.p = Mp;
kenjiArai 0:5b88d5760320 1372
kenjiArai 0:5b88d5760320 1373 /* M = A1 */
kenjiArai 0:5b88d5760320 1374 M.n = N->n - ( p_limbs - adjust );
kenjiArai 0:5b88d5760320 1375 if( M.n > p_limbs + adjust )
kenjiArai 0:5b88d5760320 1376 M.n = p_limbs + adjust;
kenjiArai 0:5b88d5760320 1377 memset( Mp, 0, sizeof Mp );
kenjiArai 0:5b88d5760320 1378 memcpy( Mp, N->p + p_limbs - adjust, M.n * sizeof( mbedtls_mpi_uint ) );
kenjiArai 0:5b88d5760320 1379 if( shift != 0 )
kenjiArai 0:5b88d5760320 1380 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &M, shift ) );
kenjiArai 0:5b88d5760320 1381 M.n += R.n; /* Make room for multiplication by R */
kenjiArai 0:5b88d5760320 1382
kenjiArai 0:5b88d5760320 1383 /* N = A0 */
kenjiArai 0:5b88d5760320 1384 if( mask != 0 )
kenjiArai 0:5b88d5760320 1385 N->p[p_limbs - 1] &= mask;
kenjiArai 0:5b88d5760320 1386 for( i = p_limbs; i < N->n; i++ )
kenjiArai 0:5b88d5760320 1387 N->p[i] = 0;
kenjiArai 0:5b88d5760320 1388
kenjiArai 0:5b88d5760320 1389 /* N = A0 + R * A1 */
kenjiArai 0:5b88d5760320 1390 MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &M, &M, &R ) );
kenjiArai 0:5b88d5760320 1391 MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( N, N, &M ) );
kenjiArai 0:5b88d5760320 1392
kenjiArai 0:5b88d5760320 1393 /* Second pass */
kenjiArai 0:5b88d5760320 1394
kenjiArai 0:5b88d5760320 1395 /* M = A1 */
kenjiArai 0:5b88d5760320 1396 M.n = N->n - ( p_limbs - adjust );
kenjiArai 0:5b88d5760320 1397 if( M.n > p_limbs + adjust )
kenjiArai 0:5b88d5760320 1398 M.n = p_limbs + adjust;
kenjiArai 0:5b88d5760320 1399 memset( Mp, 0, sizeof Mp );
kenjiArai 0:5b88d5760320 1400 memcpy( Mp, N->p + p_limbs - adjust, M.n * sizeof( mbedtls_mpi_uint ) );
kenjiArai 0:5b88d5760320 1401 if( shift != 0 )
kenjiArai 0:5b88d5760320 1402 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &M, shift ) );
kenjiArai 0:5b88d5760320 1403 M.n += R.n; /* Make room for multiplication by R */
kenjiArai 0:5b88d5760320 1404
kenjiArai 0:5b88d5760320 1405 /* N = A0 */
kenjiArai 0:5b88d5760320 1406 if( mask != 0 )
kenjiArai 0:5b88d5760320 1407 N->p[p_limbs - 1] &= mask;
kenjiArai 0:5b88d5760320 1408 for( i = p_limbs; i < N->n; i++ )
kenjiArai 0:5b88d5760320 1409 N->p[i] = 0;
kenjiArai 0:5b88d5760320 1410
kenjiArai 0:5b88d5760320 1411 /* N = A0 + R * A1 */
kenjiArai 0:5b88d5760320 1412 MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &M, &M, &R ) );
kenjiArai 0:5b88d5760320 1413 MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( N, N, &M ) );
kenjiArai 0:5b88d5760320 1414
kenjiArai 0:5b88d5760320 1415 cleanup:
kenjiArai 0:5b88d5760320 1416 return( ret );
kenjiArai 0:5b88d5760320 1417 }
kenjiArai 0:5b88d5760320 1418 #endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED) ||
kenjiArai 0:5b88d5760320 1419 MBEDTLS_ECP_DP_SECP224K1_ENABLED) ||
kenjiArai 0:5b88d5760320 1420 MBEDTLS_ECP_DP_SECP256K1_ENABLED) */
kenjiArai 0:5b88d5760320 1421
kenjiArai 0:5b88d5760320 1422 #if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
kenjiArai 0:5b88d5760320 1423 /*
kenjiArai 0:5b88d5760320 1424 * Fast quasi-reduction modulo p192k1 = 2^192 - R,
kenjiArai 0:5b88d5760320 1425 * with R = 2^32 + 2^12 + 2^8 + 2^7 + 2^6 + 2^3 + 1 = 0x0100001119
kenjiArai 0:5b88d5760320 1426 */
kenjiArai 0:5b88d5760320 1427 static int ecp_mod_p192k1( mbedtls_mpi *N )
kenjiArai 0:5b88d5760320 1428 {
kenjiArai 0:5b88d5760320 1429 static mbedtls_mpi_uint Rp[] = {
kenjiArai 0:5b88d5760320 1430 BYTES_TO_T_UINT_8( 0xC9, 0x11, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ) };
kenjiArai 0:5b88d5760320 1431
kenjiArai 0:5b88d5760320 1432 return( ecp_mod_koblitz( N, Rp, 192 / 8 / sizeof( mbedtls_mpi_uint ), 0, 0, 0 ) );
kenjiArai 0:5b88d5760320 1433 }
kenjiArai 0:5b88d5760320 1434 #endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED */
kenjiArai 0:5b88d5760320 1435
kenjiArai 0:5b88d5760320 1436 #if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
kenjiArai 0:5b88d5760320 1437 /*
kenjiArai 0:5b88d5760320 1438 * Fast quasi-reduction modulo p224k1 = 2^224 - R,
kenjiArai 0:5b88d5760320 1439 * with R = 2^32 + 2^12 + 2^11 + 2^9 + 2^7 + 2^4 + 2 + 1 = 0x0100001A93
kenjiArai 0:5b88d5760320 1440 */
kenjiArai 0:5b88d5760320 1441 static int ecp_mod_p224k1( mbedtls_mpi *N )
kenjiArai 0:5b88d5760320 1442 {
kenjiArai 0:5b88d5760320 1443 static mbedtls_mpi_uint Rp[] = {
kenjiArai 0:5b88d5760320 1444 BYTES_TO_T_UINT_8( 0x93, 0x1A, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ) };
kenjiArai 0:5b88d5760320 1445
kenjiArai 0:5b88d5760320 1446 #if defined(MBEDTLS_HAVE_INT64)
kenjiArai 0:5b88d5760320 1447 return( ecp_mod_koblitz( N, Rp, 4, 1, 32, 0xFFFFFFFF ) );
kenjiArai 0:5b88d5760320 1448 #else
kenjiArai 0:5b88d5760320 1449 return( ecp_mod_koblitz( N, Rp, 224 / 8 / sizeof( mbedtls_mpi_uint ), 0, 0, 0 ) );
kenjiArai 0:5b88d5760320 1450 #endif
kenjiArai 0:5b88d5760320 1451 }
kenjiArai 0:5b88d5760320 1452
kenjiArai 0:5b88d5760320 1453 #endif /* MBEDTLS_ECP_DP_SECP224K1_ENABLED */
kenjiArai 0:5b88d5760320 1454
kenjiArai 0:5b88d5760320 1455 #if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
kenjiArai 0:5b88d5760320 1456 /*
kenjiArai 0:5b88d5760320 1457 * Fast quasi-reduction modulo p256k1 = 2^256 - R,
kenjiArai 0:5b88d5760320 1458 * with R = 2^32 + 2^9 + 2^8 + 2^7 + 2^6 + 2^4 + 1 = 0x01000003D1
kenjiArai 0:5b88d5760320 1459 */
kenjiArai 0:5b88d5760320 1460 static int ecp_mod_p256k1( mbedtls_mpi *N )
kenjiArai 0:5b88d5760320 1461 {
kenjiArai 0:5b88d5760320 1462 static mbedtls_mpi_uint Rp[] = {
kenjiArai 0:5b88d5760320 1463 BYTES_TO_T_UINT_8( 0xD1, 0x03, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ) };
kenjiArai 0:5b88d5760320 1464 return( ecp_mod_koblitz( N, Rp, 256 / 8 / sizeof( mbedtls_mpi_uint ), 0, 0, 0 ) );
kenjiArai 0:5b88d5760320 1465 }
kenjiArai 0:5b88d5760320 1466 #endif /* MBEDTLS_ECP_DP_SECP256K1_ENABLED */
kenjiArai 0:5b88d5760320 1467
kenjiArai 0:5b88d5760320 1468 #endif /* !MBEDTLS_ECP_ALT */
kenjiArai 0:5b88d5760320 1469
kenjiArai 0:5b88d5760320 1470 #endif /* MBEDTLS_ECP_C */