EL4121 Embedded System / mbed-os

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features/mbedtls/src/ecp_curves.c@0:b74591d5ab33, 2017-12-11 (annotated)

Committer:
be_bryan
Date:
Mon Dec 11 17:54:04 2017 +0000
Revision:
0:b74591d5ab33
motor ++

Who changed what in which revision?

UserRevisionLine numberNew contents of line
be_bryan 0:b74591d5ab33 1 /*
be_bryan 0:b74591d5ab33 2 * Elliptic curves over GF(p): curve-specific data and functions
be_bryan 0:b74591d5ab33 3 *
be_bryan 0:b74591d5ab33 4 * Copyright (C) 2006-2015, ARM Limited, All Rights Reserved
be_bryan 0:b74591d5ab33 5 * SPDX-License-Identifier: Apache-2.0
be_bryan 0:b74591d5ab33 6 *
be_bryan 0:b74591d5ab33 7 * Licensed under the Apache License, Version 2.0 (the "License"); you may
be_bryan 0:b74591d5ab33 8 * not use this file except in compliance with the License.
be_bryan 0:b74591d5ab33 9 * You may obtain a copy of the License at
be_bryan 0:b74591d5ab33 10 *
be_bryan 0:b74591d5ab33 11 * http://www.apache.org/licenses/LICENSE-2.0
be_bryan 0:b74591d5ab33 12 *
be_bryan 0:b74591d5ab33 13 * Unless required by applicable law or agreed to in writing, software
be_bryan 0:b74591d5ab33 14 * distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
be_bryan 0:b74591d5ab33 15 * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
be_bryan 0:b74591d5ab33 16 * See the License for the specific language governing permissions and
be_bryan 0:b74591d5ab33 17 * limitations under the License.
be_bryan 0:b74591d5ab33 18 *
be_bryan 0:b74591d5ab33 19 * This file is part of mbed TLS (https://tls.mbed.org)
be_bryan 0:b74591d5ab33 20 */
be_bryan 0:b74591d5ab33 21
be_bryan 0:b74591d5ab33 22 #if !defined(MBEDTLS_CONFIG_FILE)
be_bryan 0:b74591d5ab33 23 #include "mbedtls/config.h"
be_bryan 0:b74591d5ab33 24 #else
be_bryan 0:b74591d5ab33 25 #include MBEDTLS_CONFIG_FILE
be_bryan 0:b74591d5ab33 26 #endif
be_bryan 0:b74591d5ab33 27
be_bryan 0:b74591d5ab33 28 #if defined(MBEDTLS_ECP_C)
be_bryan 0:b74591d5ab33 29
be_bryan 0:b74591d5ab33 30 #include "mbedtls/ecp.h"
be_bryan 0:b74591d5ab33 31
be_bryan 0:b74591d5ab33 32 #include <string.h>
be_bryan 0:b74591d5ab33 33
be_bryan 0:b74591d5ab33 34 #if !defined(MBEDTLS_ECP_ALT)
be_bryan 0:b74591d5ab33 35
be_bryan 0:b74591d5ab33 36 #if ( defined(__ARMCC_VERSION) || defined(_MSC_VER) ) && \
be_bryan 0:b74591d5ab33 37 !defined(inline) && !defined(__cplusplus)
be_bryan 0:b74591d5ab33 38 #define inline __inline
be_bryan 0:b74591d5ab33 39 #endif
be_bryan 0:b74591d5ab33 40
be_bryan 0:b74591d5ab33 41 /*
be_bryan 0:b74591d5ab33 42 * Conversion macros for embedded constants:
be_bryan 0:b74591d5ab33 43 * build lists of mbedtls_mpi_uint's from lists of unsigned char's grouped by 8, 4 or 2
be_bryan 0:b74591d5ab33 44 */
be_bryan 0:b74591d5ab33 45 #if defined(MBEDTLS_HAVE_INT32)
be_bryan 0:b74591d5ab33 46
be_bryan 0:b74591d5ab33 47 #define BYTES_TO_T_UINT_4( a, b, c, d ) \
be_bryan 0:b74591d5ab33 48 ( (mbedtls_mpi_uint) a << 0 ) | \
be_bryan 0:b74591d5ab33 49 ( (mbedtls_mpi_uint) b << 8 ) | \
be_bryan 0:b74591d5ab33 50 ( (mbedtls_mpi_uint) c << 16 ) | \
be_bryan 0:b74591d5ab33 51 ( (mbedtls_mpi_uint) d << 24 )
be_bryan 0:b74591d5ab33 52
be_bryan 0:b74591d5ab33 53 #define BYTES_TO_T_UINT_2( a, b ) \
be_bryan 0:b74591d5ab33 54 BYTES_TO_T_UINT_4( a, b, 0, 0 )
be_bryan 0:b74591d5ab33 55
be_bryan 0:b74591d5ab33 56 #define BYTES_TO_T_UINT_8( a, b, c, d, e, f, g, h ) \
be_bryan 0:b74591d5ab33 57 BYTES_TO_T_UINT_4( a, b, c, d ), \
be_bryan 0:b74591d5ab33 58 BYTES_TO_T_UINT_4( e, f, g, h )
be_bryan 0:b74591d5ab33 59
be_bryan 0:b74591d5ab33 60 #else /* 64-bits */
be_bryan 0:b74591d5ab33 61
be_bryan 0:b74591d5ab33 62 #define BYTES_TO_T_UINT_8( a, b, c, d, e, f, g, h ) \
be_bryan 0:b74591d5ab33 63 ( (mbedtls_mpi_uint) a << 0 ) | \
be_bryan 0:b74591d5ab33 64 ( (mbedtls_mpi_uint) b << 8 ) | \
be_bryan 0:b74591d5ab33 65 ( (mbedtls_mpi_uint) c << 16 ) | \
be_bryan 0:b74591d5ab33 66 ( (mbedtls_mpi_uint) d << 24 ) | \
be_bryan 0:b74591d5ab33 67 ( (mbedtls_mpi_uint) e << 32 ) | \
be_bryan 0:b74591d5ab33 68 ( (mbedtls_mpi_uint) f << 40 ) | \
be_bryan 0:b74591d5ab33 69 ( (mbedtls_mpi_uint) g << 48 ) | \
be_bryan 0:b74591d5ab33 70 ( (mbedtls_mpi_uint) h << 56 )
be_bryan 0:b74591d5ab33 71
be_bryan 0:b74591d5ab33 72 #define BYTES_TO_T_UINT_4( a, b, c, d ) \
be_bryan 0:b74591d5ab33 73 BYTES_TO_T_UINT_8( a, b, c, d, 0, 0, 0, 0 )
be_bryan 0:b74591d5ab33 74
be_bryan 0:b74591d5ab33 75 #define BYTES_TO_T_UINT_2( a, b ) \
be_bryan 0:b74591d5ab33 76 BYTES_TO_T_UINT_8( a, b, 0, 0, 0, 0, 0, 0 )
be_bryan 0:b74591d5ab33 77
be_bryan 0:b74591d5ab33 78 #endif /* bits in mbedtls_mpi_uint */
be_bryan 0:b74591d5ab33 79
be_bryan 0:b74591d5ab33 80 /*
be_bryan 0:b74591d5ab33 81 * Note: the constants are in little-endian order
be_bryan 0:b74591d5ab33 82 * to be directly usable in MPIs
be_bryan 0:b74591d5ab33 83 */
be_bryan 0:b74591d5ab33 84
be_bryan 0:b74591d5ab33 85 /*
be_bryan 0:b74591d5ab33 86 * Domain parameters for secp192r1
be_bryan 0:b74591d5ab33 87 */
be_bryan 0:b74591d5ab33 88 #if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
be_bryan 0:b74591d5ab33 89 static const mbedtls_mpi_uint secp192r1_p[] = {
be_bryan 0:b74591d5ab33 90 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 91 BYTES_TO_T_UINT_8( 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 92 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 93 };
be_bryan 0:b74591d5ab33 94 static const mbedtls_mpi_uint secp192r1_b[] = {
be_bryan 0:b74591d5ab33 95 BYTES_TO_T_UINT_8( 0xB1, 0xB9, 0x46, 0xC1, 0xEC, 0xDE, 0xB8, 0xFE ),
be_bryan 0:b74591d5ab33 96 BYTES_TO_T_UINT_8( 0x49, 0x30, 0x24, 0x72, 0xAB, 0xE9, 0xA7, 0x0F ),
be_bryan 0:b74591d5ab33 97 BYTES_TO_T_UINT_8( 0xE7, 0x80, 0x9C, 0xE5, 0x19, 0x05, 0x21, 0x64 ),
be_bryan 0:b74591d5ab33 98 };
be_bryan 0:b74591d5ab33 99 static const mbedtls_mpi_uint secp192r1_gx[] = {
be_bryan 0:b74591d5ab33 100 BYTES_TO_T_UINT_8( 0x12, 0x10, 0xFF, 0x82, 0xFD, 0x0A, 0xFF, 0xF4 ),
be_bryan 0:b74591d5ab33 101 BYTES_TO_T_UINT_8( 0x00, 0x88, 0xA1, 0x43, 0xEB, 0x20, 0xBF, 0x7C ),
be_bryan 0:b74591d5ab33 102 BYTES_TO_T_UINT_8( 0xF6, 0x90, 0x30, 0xB0, 0x0E, 0xA8, 0x8D, 0x18 ),
be_bryan 0:b74591d5ab33 103 };
be_bryan 0:b74591d5ab33 104 static const mbedtls_mpi_uint secp192r1_gy[] = {
be_bryan 0:b74591d5ab33 105 BYTES_TO_T_UINT_8( 0x11, 0x48, 0x79, 0x1E, 0xA1, 0x77, 0xF9, 0x73 ),
be_bryan 0:b74591d5ab33 106 BYTES_TO_T_UINT_8( 0xD5, 0xCD, 0x24, 0x6B, 0xED, 0x11, 0x10, 0x63 ),
be_bryan 0:b74591d5ab33 107 BYTES_TO_T_UINT_8( 0x78, 0xDA, 0xC8, 0xFF, 0x95, 0x2B, 0x19, 0x07 ),
be_bryan 0:b74591d5ab33 108 };
be_bryan 0:b74591d5ab33 109 static const mbedtls_mpi_uint secp192r1_n[] = {
be_bryan 0:b74591d5ab33 110 BYTES_TO_T_UINT_8( 0x31, 0x28, 0xD2, 0xB4, 0xB1, 0xC9, 0x6B, 0x14 ),
be_bryan 0:b74591d5ab33 111 BYTES_TO_T_UINT_8( 0x36, 0xF8, 0xDE, 0x99, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 112 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 113 };
be_bryan 0:b74591d5ab33 114 #endif /* MBEDTLS_ECP_DP_SECP192R1_ENABLED */
be_bryan 0:b74591d5ab33 115
be_bryan 0:b74591d5ab33 116 /*
be_bryan 0:b74591d5ab33 117 * Domain parameters for secp224r1
be_bryan 0:b74591d5ab33 118 */
be_bryan 0:b74591d5ab33 119 #if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
be_bryan 0:b74591d5ab33 120 static const mbedtls_mpi_uint secp224r1_p[] = {
be_bryan 0:b74591d5ab33 121 BYTES_TO_T_UINT_8( 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
be_bryan 0:b74591d5ab33 122 BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 123 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 124 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00 ),
be_bryan 0:b74591d5ab33 125 };
be_bryan 0:b74591d5ab33 126 static const mbedtls_mpi_uint secp224r1_b[] = {
be_bryan 0:b74591d5ab33 127 BYTES_TO_T_UINT_8( 0xB4, 0xFF, 0x55, 0x23, 0x43, 0x39, 0x0B, 0x27 ),
be_bryan 0:b74591d5ab33 128 BYTES_TO_T_UINT_8( 0xBA, 0xD8, 0xBF, 0xD7, 0xB7, 0xB0, 0x44, 0x50 ),
be_bryan 0:b74591d5ab33 129 BYTES_TO_T_UINT_8( 0x56, 0x32, 0x41, 0xF5, 0xAB, 0xB3, 0x04, 0x0C ),
be_bryan 0:b74591d5ab33 130 BYTES_TO_T_UINT_4( 0x85, 0x0A, 0x05, 0xB4 ),
be_bryan 0:b74591d5ab33 131 };
be_bryan 0:b74591d5ab33 132 static const mbedtls_mpi_uint secp224r1_gx[] = {
be_bryan 0:b74591d5ab33 133 BYTES_TO_T_UINT_8( 0x21, 0x1D, 0x5C, 0x11, 0xD6, 0x80, 0x32, 0x34 ),
be_bryan 0:b74591d5ab33 134 BYTES_TO_T_UINT_8( 0x22, 0x11, 0xC2, 0x56, 0xD3, 0xC1, 0x03, 0x4A ),
be_bryan 0:b74591d5ab33 135 BYTES_TO_T_UINT_8( 0xB9, 0x90, 0x13, 0x32, 0x7F, 0xBF, 0xB4, 0x6B ),
be_bryan 0:b74591d5ab33 136 BYTES_TO_T_UINT_4( 0xBD, 0x0C, 0x0E, 0xB7 ),
be_bryan 0:b74591d5ab33 137 };
be_bryan 0:b74591d5ab33 138 static const mbedtls_mpi_uint secp224r1_gy[] = {
be_bryan 0:b74591d5ab33 139 BYTES_TO_T_UINT_8( 0x34, 0x7E, 0x00, 0x85, 0x99, 0x81, 0xD5, 0x44 ),
be_bryan 0:b74591d5ab33 140 BYTES_TO_T_UINT_8( 0x64, 0x47, 0x07, 0x5A, 0xA0, 0x75, 0x43, 0xCD ),
be_bryan 0:b74591d5ab33 141 BYTES_TO_T_UINT_8( 0xE6, 0xDF, 0x22, 0x4C, 0xFB, 0x23, 0xF7, 0xB5 ),
be_bryan 0:b74591d5ab33 142 BYTES_TO_T_UINT_4( 0x88, 0x63, 0x37, 0xBD ),
be_bryan 0:b74591d5ab33 143 };
be_bryan 0:b74591d5ab33 144 static const mbedtls_mpi_uint secp224r1_n[] = {
be_bryan 0:b74591d5ab33 145 BYTES_TO_T_UINT_8( 0x3D, 0x2A, 0x5C, 0x5C, 0x45, 0x29, 0xDD, 0x13 ),
be_bryan 0:b74591d5ab33 146 BYTES_TO_T_UINT_8( 0x3E, 0xF0, 0xB8, 0xE0, 0xA2, 0x16, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 147 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 148 BYTES_TO_T_UINT_4( 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 149 };
be_bryan 0:b74591d5ab33 150 #endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED */
be_bryan 0:b74591d5ab33 151
be_bryan 0:b74591d5ab33 152 /*
be_bryan 0:b74591d5ab33 153 * Domain parameters for secp256r1
be_bryan 0:b74591d5ab33 154 */
be_bryan 0:b74591d5ab33 155 #if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
be_bryan 0:b74591d5ab33 156 static const mbedtls_mpi_uint secp256r1_p[] = {
be_bryan 0:b74591d5ab33 157 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 158 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00 ),
be_bryan 0:b74591d5ab33 159 BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
be_bryan 0:b74591d5ab33 160 BYTES_TO_T_UINT_8( 0x01, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 161 };
be_bryan 0:b74591d5ab33 162 static const mbedtls_mpi_uint secp256r1_b[] = {
be_bryan 0:b74591d5ab33 163 BYTES_TO_T_UINT_8( 0x4B, 0x60, 0xD2, 0x27, 0x3E, 0x3C, 0xCE, 0x3B ),
be_bryan 0:b74591d5ab33 164 BYTES_TO_T_UINT_8( 0xF6, 0xB0, 0x53, 0xCC, 0xB0, 0x06, 0x1D, 0x65 ),
be_bryan 0:b74591d5ab33 165 BYTES_TO_T_UINT_8( 0xBC, 0x86, 0x98, 0x76, 0x55, 0xBD, 0xEB, 0xB3 ),
be_bryan 0:b74591d5ab33 166 BYTES_TO_T_UINT_8( 0xE7, 0x93, 0x3A, 0xAA, 0xD8, 0x35, 0xC6, 0x5A ),
be_bryan 0:b74591d5ab33 167 };
be_bryan 0:b74591d5ab33 168 static const mbedtls_mpi_uint secp256r1_gx[] = {
be_bryan 0:b74591d5ab33 169 BYTES_TO_T_UINT_8( 0x96, 0xC2, 0x98, 0xD8, 0x45, 0x39, 0xA1, 0xF4 ),
be_bryan 0:b74591d5ab33 170 BYTES_TO_T_UINT_8( 0xA0, 0x33, 0xEB, 0x2D, 0x81, 0x7D, 0x03, 0x77 ),
be_bryan 0:b74591d5ab33 171 BYTES_TO_T_UINT_8( 0xF2, 0x40, 0xA4, 0x63, 0xE5, 0xE6, 0xBC, 0xF8 ),
be_bryan 0:b74591d5ab33 172 BYTES_TO_T_UINT_8( 0x47, 0x42, 0x2C, 0xE1, 0xF2, 0xD1, 0x17, 0x6B ),
be_bryan 0:b74591d5ab33 173 };
be_bryan 0:b74591d5ab33 174 static const mbedtls_mpi_uint secp256r1_gy[] = {
be_bryan 0:b74591d5ab33 175 BYTES_TO_T_UINT_8( 0xF5, 0x51, 0xBF, 0x37, 0x68, 0x40, 0xB6, 0xCB ),
be_bryan 0:b74591d5ab33 176 BYTES_TO_T_UINT_8( 0xCE, 0x5E, 0x31, 0x6B, 0x57, 0x33, 0xCE, 0x2B ),
be_bryan 0:b74591d5ab33 177 BYTES_TO_T_UINT_8( 0x16, 0x9E, 0x0F, 0x7C, 0x4A, 0xEB, 0xE7, 0x8E ),
be_bryan 0:b74591d5ab33 178 BYTES_TO_T_UINT_8( 0x9B, 0x7F, 0x1A, 0xFE, 0xE2, 0x42, 0xE3, 0x4F ),
be_bryan 0:b74591d5ab33 179 };
be_bryan 0:b74591d5ab33 180 static const mbedtls_mpi_uint secp256r1_n[] = {
be_bryan 0:b74591d5ab33 181 BYTES_TO_T_UINT_8( 0x51, 0x25, 0x63, 0xFC, 0xC2, 0xCA, 0xB9, 0xF3 ),
be_bryan 0:b74591d5ab33 182 BYTES_TO_T_UINT_8( 0x84, 0x9E, 0x17, 0xA7, 0xAD, 0xFA, 0xE6, 0xBC ),
be_bryan 0:b74591d5ab33 183 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 184 BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 185 };
be_bryan 0:b74591d5ab33 186 #endif /* MBEDTLS_ECP_DP_SECP256R1_ENABLED */
be_bryan 0:b74591d5ab33 187
be_bryan 0:b74591d5ab33 188 /*
be_bryan 0:b74591d5ab33 189 * Domain parameters for secp384r1
be_bryan 0:b74591d5ab33 190 */
be_bryan 0:b74591d5ab33 191 #if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
be_bryan 0:b74591d5ab33 192 static const mbedtls_mpi_uint secp384r1_p[] = {
be_bryan 0:b74591d5ab33 193 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00 ),
be_bryan 0:b74591d5ab33 194 BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 195 BYTES_TO_T_UINT_8( 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 196 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 197 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 198 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 199 };
be_bryan 0:b74591d5ab33 200 static const mbedtls_mpi_uint secp384r1_b[] = {
be_bryan 0:b74591d5ab33 201 BYTES_TO_T_UINT_8( 0xEF, 0x2A, 0xEC, 0xD3, 0xED, 0xC8, 0x85, 0x2A ),
be_bryan 0:b74591d5ab33 202 BYTES_TO_T_UINT_8( 0x9D, 0xD1, 0x2E, 0x8A, 0x8D, 0x39, 0x56, 0xC6 ),
be_bryan 0:b74591d5ab33 203 BYTES_TO_T_UINT_8( 0x5A, 0x87, 0x13, 0x50, 0x8F, 0x08, 0x14, 0x03 ),
be_bryan 0:b74591d5ab33 204 BYTES_TO_T_UINT_8( 0x12, 0x41, 0x81, 0xFE, 0x6E, 0x9C, 0x1D, 0x18 ),
be_bryan 0:b74591d5ab33 205 BYTES_TO_T_UINT_8( 0x19, 0x2D, 0xF8, 0xE3, 0x6B, 0x05, 0x8E, 0x98 ),
be_bryan 0:b74591d5ab33 206 BYTES_TO_T_UINT_8( 0xE4, 0xE7, 0x3E, 0xE2, 0xA7, 0x2F, 0x31, 0xB3 ),
be_bryan 0:b74591d5ab33 207 };
be_bryan 0:b74591d5ab33 208 static const mbedtls_mpi_uint secp384r1_gx[] = {
be_bryan 0:b74591d5ab33 209 BYTES_TO_T_UINT_8( 0xB7, 0x0A, 0x76, 0x72, 0x38, 0x5E, 0x54, 0x3A ),
be_bryan 0:b74591d5ab33 210 BYTES_TO_T_UINT_8( 0x6C, 0x29, 0x55, 0xBF, 0x5D, 0xF2, 0x02, 0x55 ),
be_bryan 0:b74591d5ab33 211 BYTES_TO_T_UINT_8( 0x38, 0x2A, 0x54, 0x82, 0xE0, 0x41, 0xF7, 0x59 ),
be_bryan 0:b74591d5ab33 212 BYTES_TO_T_UINT_8( 0x98, 0x9B, 0xA7, 0x8B, 0x62, 0x3B, 0x1D, 0x6E ),
be_bryan 0:b74591d5ab33 213 BYTES_TO_T_UINT_8( 0x74, 0xAD, 0x20, 0xF3, 0x1E, 0xC7, 0xB1, 0x8E ),
be_bryan 0:b74591d5ab33 214 BYTES_TO_T_UINT_8( 0x37, 0x05, 0x8B, 0xBE, 0x22, 0xCA, 0x87, 0xAA ),
be_bryan 0:b74591d5ab33 215 };
be_bryan 0:b74591d5ab33 216 static const mbedtls_mpi_uint secp384r1_gy[] = {
be_bryan 0:b74591d5ab33 217 BYTES_TO_T_UINT_8( 0x5F, 0x0E, 0xEA, 0x90, 0x7C, 0x1D, 0x43, 0x7A ),
be_bryan 0:b74591d5ab33 218 BYTES_TO_T_UINT_8( 0x9D, 0x81, 0x7E, 0x1D, 0xCE, 0xB1, 0x60, 0x0A ),
be_bryan 0:b74591d5ab33 219 BYTES_TO_T_UINT_8( 0xC0, 0xB8, 0xF0, 0xB5, 0x13, 0x31, 0xDA, 0xE9 ),
be_bryan 0:b74591d5ab33 220 BYTES_TO_T_UINT_8( 0x7C, 0x14, 0x9A, 0x28, 0xBD, 0x1D, 0xF4, 0xF8 ),
be_bryan 0:b74591d5ab33 221 BYTES_TO_T_UINT_8( 0x29, 0xDC, 0x92, 0x92, 0xBF, 0x98, 0x9E, 0x5D ),
be_bryan 0:b74591d5ab33 222 BYTES_TO_T_UINT_8( 0x6F, 0x2C, 0x26, 0x96, 0x4A, 0xDE, 0x17, 0x36 ),
be_bryan 0:b74591d5ab33 223 };
be_bryan 0:b74591d5ab33 224 static const mbedtls_mpi_uint secp384r1_n[] = {
be_bryan 0:b74591d5ab33 225 BYTES_TO_T_UINT_8( 0x73, 0x29, 0xC5, 0xCC, 0x6A, 0x19, 0xEC, 0xEC ),
be_bryan 0:b74591d5ab33 226 BYTES_TO_T_UINT_8( 0x7A, 0xA7, 0xB0, 0x48, 0xB2, 0x0D, 0x1A, 0x58 ),
be_bryan 0:b74591d5ab33 227 BYTES_TO_T_UINT_8( 0xDF, 0x2D, 0x37, 0xF4, 0x81, 0x4D, 0x63, 0xC7 ),
be_bryan 0:b74591d5ab33 228 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 229 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 230 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 231 };
be_bryan 0:b74591d5ab33 232 #endif /* MBEDTLS_ECP_DP_SECP384R1_ENABLED */
be_bryan 0:b74591d5ab33 233
be_bryan 0:b74591d5ab33 234 /*
be_bryan 0:b74591d5ab33 235 * Domain parameters for secp521r1
be_bryan 0:b74591d5ab33 236 */
be_bryan 0:b74591d5ab33 237 #if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
be_bryan 0:b74591d5ab33 238 static const mbedtls_mpi_uint secp521r1_p[] = {
be_bryan 0:b74591d5ab33 239 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 240 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 241 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 242 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 243 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 244 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 245 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 246 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 247 BYTES_TO_T_UINT_2( 0xFF, 0x01 ),
be_bryan 0:b74591d5ab33 248 };
be_bryan 0:b74591d5ab33 249 static const mbedtls_mpi_uint secp521r1_b[] = {
be_bryan 0:b74591d5ab33 250 BYTES_TO_T_UINT_8( 0x00, 0x3F, 0x50, 0x6B, 0xD4, 0x1F, 0x45, 0xEF ),
be_bryan 0:b74591d5ab33 251 BYTES_TO_T_UINT_8( 0xF1, 0x34, 0x2C, 0x3D, 0x88, 0xDF, 0x73, 0x35 ),
be_bryan 0:b74591d5ab33 252 BYTES_TO_T_UINT_8( 0x07, 0xBF, 0xB1, 0x3B, 0xBD, 0xC0, 0x52, 0x16 ),
be_bryan 0:b74591d5ab33 253 BYTES_TO_T_UINT_8( 0x7B, 0x93, 0x7E, 0xEC, 0x51, 0x39, 0x19, 0x56 ),
be_bryan 0:b74591d5ab33 254 BYTES_TO_T_UINT_8( 0xE1, 0x09, 0xF1, 0x8E, 0x91, 0x89, 0xB4, 0xB8 ),
be_bryan 0:b74591d5ab33 255 BYTES_TO_T_UINT_8( 0xF3, 0x15, 0xB3, 0x99, 0x5B, 0x72, 0xDA, 0xA2 ),
be_bryan 0:b74591d5ab33 256 BYTES_TO_T_UINT_8( 0xEE, 0x40, 0x85, 0xB6, 0xA0, 0x21, 0x9A, 0x92 ),
be_bryan 0:b74591d5ab33 257 BYTES_TO_T_UINT_8( 0x1F, 0x9A, 0x1C, 0x8E, 0x61, 0xB9, 0x3E, 0x95 ),
be_bryan 0:b74591d5ab33 258 BYTES_TO_T_UINT_2( 0x51, 0x00 ),
be_bryan 0:b74591d5ab33 259 };
be_bryan 0:b74591d5ab33 260 static const mbedtls_mpi_uint secp521r1_gx[] = {
be_bryan 0:b74591d5ab33 261 BYTES_TO_T_UINT_8( 0x66, 0xBD, 0xE5, 0xC2, 0x31, 0x7E, 0x7E, 0xF9 ),
be_bryan 0:b74591d5ab33 262 BYTES_TO_T_UINT_8( 0x9B, 0x42, 0x6A, 0x85, 0xC1, 0xB3, 0x48, 0x33 ),
be_bryan 0:b74591d5ab33 263 BYTES_TO_T_UINT_8( 0xDE, 0xA8, 0xFF, 0xA2, 0x27, 0xC1, 0x1D, 0xFE ),
be_bryan 0:b74591d5ab33 264 BYTES_TO_T_UINT_8( 0x28, 0x59, 0xE7, 0xEF, 0x77, 0x5E, 0x4B, 0xA1 ),
be_bryan 0:b74591d5ab33 265 BYTES_TO_T_UINT_8( 0xBA, 0x3D, 0x4D, 0x6B, 0x60, 0xAF, 0x28, 0xF8 ),
be_bryan 0:b74591d5ab33 266 BYTES_TO_T_UINT_8( 0x21, 0xB5, 0x3F, 0x05, 0x39, 0x81, 0x64, 0x9C ),
be_bryan 0:b74591d5ab33 267 BYTES_TO_T_UINT_8( 0x42, 0xB4, 0x95, 0x23, 0x66, 0xCB, 0x3E, 0x9E ),
be_bryan 0:b74591d5ab33 268 BYTES_TO_T_UINT_8( 0xCD, 0xE9, 0x04, 0x04, 0xB7, 0x06, 0x8E, 0x85 ),
be_bryan 0:b74591d5ab33 269 BYTES_TO_T_UINT_2( 0xC6, 0x00 ),
be_bryan 0:b74591d5ab33 270 };
be_bryan 0:b74591d5ab33 271 static const mbedtls_mpi_uint secp521r1_gy[] = {
be_bryan 0:b74591d5ab33 272 BYTES_TO_T_UINT_8( 0x50, 0x66, 0xD1, 0x9F, 0x76, 0x94, 0xBE, 0x88 ),
be_bryan 0:b74591d5ab33 273 BYTES_TO_T_UINT_8( 0x40, 0xC2, 0x72, 0xA2, 0x86, 0x70, 0x3C, 0x35 ),
be_bryan 0:b74591d5ab33 274 BYTES_TO_T_UINT_8( 0x61, 0x07, 0xAD, 0x3F, 0x01, 0xB9, 0x50, 0xC5 ),
be_bryan 0:b74591d5ab33 275 BYTES_TO_T_UINT_8( 0x40, 0x26, 0xF4, 0x5E, 0x99, 0x72, 0xEE, 0x97 ),
be_bryan 0:b74591d5ab33 276 BYTES_TO_T_UINT_8( 0x2C, 0x66, 0x3E, 0x27, 0x17, 0xBD, 0xAF, 0x17 ),
be_bryan 0:b74591d5ab33 277 BYTES_TO_T_UINT_8( 0x68, 0x44, 0x9B, 0x57, 0x49, 0x44, 0xF5, 0x98 ),
be_bryan 0:b74591d5ab33 278 BYTES_TO_T_UINT_8( 0xD9, 0x1B, 0x7D, 0x2C, 0xB4, 0x5F, 0x8A, 0x5C ),
be_bryan 0:b74591d5ab33 279 BYTES_TO_T_UINT_8( 0x04, 0xC0, 0x3B, 0x9A, 0x78, 0x6A, 0x29, 0x39 ),
be_bryan 0:b74591d5ab33 280 BYTES_TO_T_UINT_2( 0x18, 0x01 ),
be_bryan 0:b74591d5ab33 281 };
be_bryan 0:b74591d5ab33 282 static const mbedtls_mpi_uint secp521r1_n[] = {
be_bryan 0:b74591d5ab33 283 BYTES_TO_T_UINT_8( 0x09, 0x64, 0x38, 0x91, 0x1E, 0xB7, 0x6F, 0xBB ),
be_bryan 0:b74591d5ab33 284 BYTES_TO_T_UINT_8( 0xAE, 0x47, 0x9C, 0x89, 0xB8, 0xC9, 0xB5, 0x3B ),
be_bryan 0:b74591d5ab33 285 BYTES_TO_T_UINT_8( 0xD0, 0xA5, 0x09, 0xF7, 0x48, 0x01, 0xCC, 0x7F ),
be_bryan 0:b74591d5ab33 286 BYTES_TO_T_UINT_8( 0x6B, 0x96, 0x2F, 0xBF, 0x83, 0x87, 0x86, 0x51 ),
be_bryan 0:b74591d5ab33 287 BYTES_TO_T_UINT_8( 0xFA, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 288 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 289 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 290 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 291 BYTES_TO_T_UINT_2( 0xFF, 0x01 ),
be_bryan 0:b74591d5ab33 292 };
be_bryan 0:b74591d5ab33 293 #endif /* MBEDTLS_ECP_DP_SECP521R1_ENABLED */
be_bryan 0:b74591d5ab33 294
be_bryan 0:b74591d5ab33 295 #if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
be_bryan 0:b74591d5ab33 296 static const mbedtls_mpi_uint secp192k1_p[] = {
be_bryan 0:b74591d5ab33 297 BYTES_TO_T_UINT_8( 0x37, 0xEE, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 298 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 299 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 300 };
be_bryan 0:b74591d5ab33 301 static const mbedtls_mpi_uint secp192k1_a[] = {
be_bryan 0:b74591d5ab33 302 BYTES_TO_T_UINT_2( 0x00, 0x00 ),
be_bryan 0:b74591d5ab33 303 };
be_bryan 0:b74591d5ab33 304 static const mbedtls_mpi_uint secp192k1_b[] = {
be_bryan 0:b74591d5ab33 305 BYTES_TO_T_UINT_2( 0x03, 0x00 ),
be_bryan 0:b74591d5ab33 306 };
be_bryan 0:b74591d5ab33 307 static const mbedtls_mpi_uint secp192k1_gx[] = {
be_bryan 0:b74591d5ab33 308 BYTES_TO_T_UINT_8( 0x7D, 0x6C, 0xE0, 0xEA, 0xB1, 0xD1, 0xA5, 0x1D ),
be_bryan 0:b74591d5ab33 309 BYTES_TO_T_UINT_8( 0x34, 0xF4, 0xB7, 0x80, 0x02, 0x7D, 0xB0, 0x26 ),
be_bryan 0:b74591d5ab33 310 BYTES_TO_T_UINT_8( 0xAE, 0xE9, 0x57, 0xC0, 0x0E, 0xF1, 0x4F, 0xDB ),
be_bryan 0:b74591d5ab33 311 };
be_bryan 0:b74591d5ab33 312 static const mbedtls_mpi_uint secp192k1_gy[] = {
be_bryan 0:b74591d5ab33 313 BYTES_TO_T_UINT_8( 0x9D, 0x2F, 0x5E, 0xD9, 0x88, 0xAA, 0x82, 0x40 ),
be_bryan 0:b74591d5ab33 314 BYTES_TO_T_UINT_8( 0x34, 0x86, 0xBE, 0x15, 0xD0, 0x63, 0x41, 0x84 ),
be_bryan 0:b74591d5ab33 315 BYTES_TO_T_UINT_8( 0xA7, 0x28, 0x56, 0x9C, 0x6D, 0x2F, 0x2F, 0x9B ),
be_bryan 0:b74591d5ab33 316 };
be_bryan 0:b74591d5ab33 317 static const mbedtls_mpi_uint secp192k1_n[] = {
be_bryan 0:b74591d5ab33 318 BYTES_TO_T_UINT_8( 0x8D, 0xFD, 0xDE, 0x74, 0x6A, 0x46, 0x69, 0x0F ),
be_bryan 0:b74591d5ab33 319 BYTES_TO_T_UINT_8( 0x17, 0xFC, 0xF2, 0x26, 0xFE, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 320 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 321 };
be_bryan 0:b74591d5ab33 322 #endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED */
be_bryan 0:b74591d5ab33 323
be_bryan 0:b74591d5ab33 324 #if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
be_bryan 0:b74591d5ab33 325 static const mbedtls_mpi_uint secp224k1_p[] = {
be_bryan 0:b74591d5ab33 326 BYTES_TO_T_UINT_8( 0x6D, 0xE5, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 327 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 328 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 329 BYTES_TO_T_UINT_4( 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 330 };
be_bryan 0:b74591d5ab33 331 static const mbedtls_mpi_uint secp224k1_a[] = {
be_bryan 0:b74591d5ab33 332 BYTES_TO_T_UINT_2( 0x00, 0x00 ),
be_bryan 0:b74591d5ab33 333 };
be_bryan 0:b74591d5ab33 334 static const mbedtls_mpi_uint secp224k1_b[] = {
be_bryan 0:b74591d5ab33 335 BYTES_TO_T_UINT_2( 0x05, 0x00 ),
be_bryan 0:b74591d5ab33 336 };
be_bryan 0:b74591d5ab33 337 static const mbedtls_mpi_uint secp224k1_gx[] = {
be_bryan 0:b74591d5ab33 338 BYTES_TO_T_UINT_8( 0x5C, 0xA4, 0xB7, 0xB6, 0x0E, 0x65, 0x7E, 0x0F ),
be_bryan 0:b74591d5ab33 339 BYTES_TO_T_UINT_8( 0xA9, 0x75, 0x70, 0xE4, 0xE9, 0x67, 0xA4, 0x69 ),
be_bryan 0:b74591d5ab33 340 BYTES_TO_T_UINT_8( 0xA1, 0x28, 0xFC, 0x30, 0xDF, 0x99, 0xF0, 0x4D ),
be_bryan 0:b74591d5ab33 341 BYTES_TO_T_UINT_4( 0x33, 0x5B, 0x45, 0xA1 ),
be_bryan 0:b74591d5ab33 342 };
be_bryan 0:b74591d5ab33 343 static const mbedtls_mpi_uint secp224k1_gy[] = {
be_bryan 0:b74591d5ab33 344 BYTES_TO_T_UINT_8( 0xA5, 0x61, 0x6D, 0x55, 0xDB, 0x4B, 0xCA, 0xE2 ),
be_bryan 0:b74591d5ab33 345 BYTES_TO_T_UINT_8( 0x59, 0xBD, 0xB0, 0xC0, 0xF7, 0x19, 0xE3, 0xF7 ),
be_bryan 0:b74591d5ab33 346 BYTES_TO_T_UINT_8( 0xD6, 0xFB, 0xCA, 0x82, 0x42, 0x34, 0xBA, 0x7F ),
be_bryan 0:b74591d5ab33 347 BYTES_TO_T_UINT_4( 0xED, 0x9F, 0x08, 0x7E ),
be_bryan 0:b74591d5ab33 348 };
be_bryan 0:b74591d5ab33 349 static const mbedtls_mpi_uint secp224k1_n[] = {
be_bryan 0:b74591d5ab33 350 BYTES_TO_T_UINT_8( 0xF7, 0xB1, 0x9F, 0x76, 0x71, 0xA9, 0xF0, 0xCA ),
be_bryan 0:b74591d5ab33 351 BYTES_TO_T_UINT_8( 0x84, 0x61, 0xEC, 0xD2, 0xE8, 0xDC, 0x01, 0x00 ),
be_bryan 0:b74591d5ab33 352 BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
be_bryan 0:b74591d5ab33 353 BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ),
be_bryan 0:b74591d5ab33 354 };
be_bryan 0:b74591d5ab33 355 #endif /* MBEDTLS_ECP_DP_SECP224K1_ENABLED */
be_bryan 0:b74591d5ab33 356
be_bryan 0:b74591d5ab33 357 #if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
be_bryan 0:b74591d5ab33 358 static const mbedtls_mpi_uint secp256k1_p[] = {
be_bryan 0:b74591d5ab33 359 BYTES_TO_T_UINT_8( 0x2F, 0xFC, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 360 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 361 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 362 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 363 };
be_bryan 0:b74591d5ab33 364 static const mbedtls_mpi_uint secp256k1_a[] = {
be_bryan 0:b74591d5ab33 365 BYTES_TO_T_UINT_2( 0x00, 0x00 ),
be_bryan 0:b74591d5ab33 366 };
be_bryan 0:b74591d5ab33 367 static const mbedtls_mpi_uint secp256k1_b[] = {
be_bryan 0:b74591d5ab33 368 BYTES_TO_T_UINT_2( 0x07, 0x00 ),
be_bryan 0:b74591d5ab33 369 };
be_bryan 0:b74591d5ab33 370 static const mbedtls_mpi_uint secp256k1_gx[] = {
be_bryan 0:b74591d5ab33 371 BYTES_TO_T_UINT_8( 0x98, 0x17, 0xF8, 0x16, 0x5B, 0x81, 0xF2, 0x59 ),
be_bryan 0:b74591d5ab33 372 BYTES_TO_T_UINT_8( 0xD9, 0x28, 0xCE, 0x2D, 0xDB, 0xFC, 0x9B, 0x02 ),
be_bryan 0:b74591d5ab33 373 BYTES_TO_T_UINT_8( 0x07, 0x0B, 0x87, 0xCE, 0x95, 0x62, 0xA0, 0x55 ),
be_bryan 0:b74591d5ab33 374 BYTES_TO_T_UINT_8( 0xAC, 0xBB, 0xDC, 0xF9, 0x7E, 0x66, 0xBE, 0x79 ),
be_bryan 0:b74591d5ab33 375 };
be_bryan 0:b74591d5ab33 376 static const mbedtls_mpi_uint secp256k1_gy[] = {
be_bryan 0:b74591d5ab33 377 BYTES_TO_T_UINT_8( 0xB8, 0xD4, 0x10, 0xFB, 0x8F, 0xD0, 0x47, 0x9C ),
be_bryan 0:b74591d5ab33 378 BYTES_TO_T_UINT_8( 0x19, 0x54, 0x85, 0xA6, 0x48, 0xB4, 0x17, 0xFD ),
be_bryan 0:b74591d5ab33 379 BYTES_TO_T_UINT_8( 0xA8, 0x08, 0x11, 0x0E, 0xFC, 0xFB, 0xA4, 0x5D ),
be_bryan 0:b74591d5ab33 380 BYTES_TO_T_UINT_8( 0x65, 0xC4, 0xA3, 0x26, 0x77, 0xDA, 0x3A, 0x48 ),
be_bryan 0:b74591d5ab33 381 };
be_bryan 0:b74591d5ab33 382 static const mbedtls_mpi_uint secp256k1_n[] = {
be_bryan 0:b74591d5ab33 383 BYTES_TO_T_UINT_8( 0x41, 0x41, 0x36, 0xD0, 0x8C, 0x5E, 0xD2, 0xBF ),
be_bryan 0:b74591d5ab33 384 BYTES_TO_T_UINT_8( 0x3B, 0xA0, 0x48, 0xAF, 0xE6, 0xDC, 0xAE, 0xBA ),
be_bryan 0:b74591d5ab33 385 BYTES_TO_T_UINT_8( 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 386 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
be_bryan 0:b74591d5ab33 387 };
be_bryan 0:b74591d5ab33 388 #endif /* MBEDTLS_ECP_DP_SECP256K1_ENABLED */
be_bryan 0:b74591d5ab33 389
be_bryan 0:b74591d5ab33 390 /*
be_bryan 0:b74591d5ab33 391 * Domain parameters for brainpoolP256r1 (RFC 5639 3.4)
be_bryan 0:b74591d5ab33 392 */
be_bryan 0:b74591d5ab33 393 #if defined(MBEDTLS_ECP_DP_BP256R1_ENABLED)
be_bryan 0:b74591d5ab33 394 static const mbedtls_mpi_uint brainpoolP256r1_p[] = {
be_bryan 0:b74591d5ab33 395 BYTES_TO_T_UINT_8( 0x77, 0x53, 0x6E, 0x1F, 0x1D, 0x48, 0x13, 0x20 ),
be_bryan 0:b74591d5ab33 396 BYTES_TO_T_UINT_8( 0x28, 0x20, 0x26, 0xD5, 0x23, 0xF6, 0x3B, 0x6E ),
be_bryan 0:b74591d5ab33 397 BYTES_TO_T_UINT_8( 0x72, 0x8D, 0x83, 0x9D, 0x90, 0x0A, 0x66, 0x3E ),
be_bryan 0:b74591d5ab33 398 BYTES_TO_T_UINT_8( 0xBC, 0xA9, 0xEE, 0xA1, 0xDB, 0x57, 0xFB, 0xA9 ),
be_bryan 0:b74591d5ab33 399 };
be_bryan 0:b74591d5ab33 400 static const mbedtls_mpi_uint brainpoolP256r1_a[] = {
be_bryan 0:b74591d5ab33 401 BYTES_TO_T_UINT_8( 0xD9, 0xB5, 0x30, 0xF3, 0x44, 0x4B, 0x4A, 0xE9 ),
be_bryan 0:b74591d5ab33 402 BYTES_TO_T_UINT_8( 0x6C, 0x5C, 0xDC, 0x26, 0xC1, 0x55, 0x80, 0xFB ),
be_bryan 0:b74591d5ab33 403 BYTES_TO_T_UINT_8( 0xE7, 0xFF, 0x7A, 0x41, 0x30, 0x75, 0xF6, 0xEE ),
be_bryan 0:b74591d5ab33 404 BYTES_TO_T_UINT_8( 0x57, 0x30, 0x2C, 0xFC, 0x75, 0x09, 0x5A, 0x7D ),
be_bryan 0:b74591d5ab33 405 };
be_bryan 0:b74591d5ab33 406 static const mbedtls_mpi_uint brainpoolP256r1_b[] = {
be_bryan 0:b74591d5ab33 407 BYTES_TO_T_UINT_8( 0xB6, 0x07, 0x8C, 0xFF, 0x18, 0xDC, 0xCC, 0x6B ),
be_bryan 0:b74591d5ab33 408 BYTES_TO_T_UINT_8( 0xCE, 0xE1, 0xF7, 0x5C, 0x29, 0x16, 0x84, 0x95 ),
be_bryan 0:b74591d5ab33 409 BYTES_TO_T_UINT_8( 0xBF, 0x7C, 0xD7, 0xBB, 0xD9, 0xB5, 0x30, 0xF3 ),
be_bryan 0:b74591d5ab33 410 BYTES_TO_T_UINT_8( 0x44, 0x4B, 0x4A, 0xE9, 0x6C, 0x5C, 0xDC, 0x26 ),
be_bryan 0:b74591d5ab33 411 };
be_bryan 0:b74591d5ab33 412 static const mbedtls_mpi_uint brainpoolP256r1_gx[] = {
be_bryan 0:b74591d5ab33 413 BYTES_TO_T_UINT_8( 0x62, 0x32, 0xCE, 0x9A, 0xBD, 0x53, 0x44, 0x3A ),
be_bryan 0:b74591d5ab33 414 BYTES_TO_T_UINT_8( 0xC2, 0x23, 0xBD, 0xE3, 0xE1, 0x27, 0xDE, 0xB9 ),
be_bryan 0:b74591d5ab33 415 BYTES_TO_T_UINT_8( 0xAF, 0xB7, 0x81, 0xFC, 0x2F, 0x48, 0x4B, 0x2C ),
be_bryan 0:b74591d5ab33 416 BYTES_TO_T_UINT_8( 0xCB, 0x57, 0x7E, 0xCB, 0xB9, 0xAE, 0xD2, 0x8B ),
be_bryan 0:b74591d5ab33 417 };
be_bryan 0:b74591d5ab33 418 static const mbedtls_mpi_uint brainpoolP256r1_gy[] = {
be_bryan 0:b74591d5ab33 419 BYTES_TO_T_UINT_8( 0x97, 0x69, 0x04, 0x2F, 0xC7, 0x54, 0x1D, 0x5C ),
be_bryan 0:b74591d5ab33 420 BYTES_TO_T_UINT_8( 0x54, 0x8E, 0xED, 0x2D, 0x13, 0x45, 0x77, 0xC2 ),
be_bryan 0:b74591d5ab33 421 BYTES_TO_T_UINT_8( 0xC9, 0x1D, 0x61, 0x14, 0x1A, 0x46, 0xF8, 0x97 ),
be_bryan 0:b74591d5ab33 422 BYTES_TO_T_UINT_8( 0xFD, 0xC4, 0xDA, 0xC3, 0x35, 0xF8, 0x7E, 0x54 ),
be_bryan 0:b74591d5ab33 423 };
be_bryan 0:b74591d5ab33 424 static const mbedtls_mpi_uint brainpoolP256r1_n[] = {
be_bryan 0:b74591d5ab33 425 BYTES_TO_T_UINT_8( 0xA7, 0x56, 0x48, 0x97, 0x82, 0x0E, 0x1E, 0x90 ),
be_bryan 0:b74591d5ab33 426 BYTES_TO_T_UINT_8( 0xF7, 0xA6, 0x61, 0xB5, 0xA3, 0x7A, 0x39, 0x8C ),
be_bryan 0:b74591d5ab33 427 BYTES_TO_T_UINT_8( 0x71, 0x8D, 0x83, 0x9D, 0x90, 0x0A, 0x66, 0x3E ),
be_bryan 0:b74591d5ab33 428 BYTES_TO_T_UINT_8( 0xBC, 0xA9, 0xEE, 0xA1, 0xDB, 0x57, 0xFB, 0xA9 ),
be_bryan 0:b74591d5ab33 429 };
be_bryan 0:b74591d5ab33 430 #endif /* MBEDTLS_ECP_DP_BP256R1_ENABLED */
be_bryan 0:b74591d5ab33 431
be_bryan 0:b74591d5ab33 432 /*
be_bryan 0:b74591d5ab33 433 * Domain parameters for brainpoolP384r1 (RFC 5639 3.6)
be_bryan 0:b74591d5ab33 434 */
be_bryan 0:b74591d5ab33 435 #if defined(MBEDTLS_ECP_DP_BP384R1_ENABLED)
be_bryan 0:b74591d5ab33 436 static const mbedtls_mpi_uint brainpoolP384r1_p[] = {
be_bryan 0:b74591d5ab33 437 BYTES_TO_T_UINT_8( 0x53, 0xEC, 0x07, 0x31, 0x13, 0x00, 0x47, 0x87 ),
be_bryan 0:b74591d5ab33 438 BYTES_TO_T_UINT_8( 0x71, 0x1A, 0x1D, 0x90, 0x29, 0xA7, 0xD3, 0xAC ),
be_bryan 0:b74591d5ab33 439 BYTES_TO_T_UINT_8( 0x23, 0x11, 0xB7, 0x7F, 0x19, 0xDA, 0xB1, 0x12 ),
be_bryan 0:b74591d5ab33 440 BYTES_TO_T_UINT_8( 0xB4, 0x56, 0x54, 0xED, 0x09, 0x71, 0x2F, 0x15 ),
be_bryan 0:b74591d5ab33 441 BYTES_TO_T_UINT_8( 0xDF, 0x41, 0xE6, 0x50, 0x7E, 0x6F, 0x5D, 0x0F ),
be_bryan 0:b74591d5ab33 442 BYTES_TO_T_UINT_8( 0x28, 0x6D, 0x38, 0xA3, 0x82, 0x1E, 0xB9, 0x8C ),
be_bryan 0:b74591d5ab33 443 };
be_bryan 0:b74591d5ab33 444 static const mbedtls_mpi_uint brainpoolP384r1_a[] = {
be_bryan 0:b74591d5ab33 445 BYTES_TO_T_UINT_8( 0x26, 0x28, 0xCE, 0x22, 0xDD, 0xC7, 0xA8, 0x04 ),
be_bryan 0:b74591d5ab33 446 BYTES_TO_T_UINT_8( 0xEB, 0xD4, 0x3A, 0x50, 0x4A, 0x81, 0xA5, 0x8A ),
be_bryan 0:b74591d5ab33 447 BYTES_TO_T_UINT_8( 0x0F, 0xF9, 0x91, 0xBA, 0xEF, 0x65, 0x91, 0x13 ),
be_bryan 0:b74591d5ab33 448 BYTES_TO_T_UINT_8( 0x87, 0x27, 0xB2, 0x4F, 0x8E, 0xA2, 0xBE, 0xC2 ),
be_bryan 0:b74591d5ab33 449 BYTES_TO_T_UINT_8( 0xA0, 0xAF, 0x05, 0xCE, 0x0A, 0x08, 0x72, 0x3C ),
be_bryan 0:b74591d5ab33 450 BYTES_TO_T_UINT_8( 0x0C, 0x15, 0x8C, 0x3D, 0xC6, 0x82, 0xC3, 0x7B ),
be_bryan 0:b74591d5ab33 451 };
be_bryan 0:b74591d5ab33 452 static const mbedtls_mpi_uint brainpoolP384r1_b[] = {
be_bryan 0:b74591d5ab33 453 BYTES_TO_T_UINT_8( 0x11, 0x4C, 0x50, 0xFA, 0x96, 0x86, 0xB7, 0x3A ),
be_bryan 0:b74591d5ab33 454 BYTES_TO_T_UINT_8( 0x94, 0xC9, 0xDB, 0x95, 0x02, 0x39, 0xB4, 0x7C ),
be_bryan 0:b74591d5ab33 455 BYTES_TO_T_UINT_8( 0xD5, 0x62, 0xEB, 0x3E, 0xA5, 0x0E, 0x88, 0x2E ),
be_bryan 0:b74591d5ab33 456 BYTES_TO_T_UINT_8( 0xA6, 0xD2, 0xDC, 0x07, 0xE1, 0x7D, 0xB7, 0x2F ),
be_bryan 0:b74591d5ab33 457 BYTES_TO_T_UINT_8( 0x7C, 0x44, 0xF0, 0x16, 0x54, 0xB5, 0x39, 0x8B ),
be_bryan 0:b74591d5ab33 458 BYTES_TO_T_UINT_8( 0x26, 0x28, 0xCE, 0x22, 0xDD, 0xC7, 0xA8, 0x04 ),
be_bryan 0:b74591d5ab33 459 };
be_bryan 0:b74591d5ab33 460 static const mbedtls_mpi_uint brainpoolP384r1_gx[] = {
be_bryan 0:b74591d5ab33 461 BYTES_TO_T_UINT_8( 0x1E, 0xAF, 0xD4, 0x47, 0xE2, 0xB2, 0x87, 0xEF ),
be_bryan 0:b74591d5ab33 462 BYTES_TO_T_UINT_8( 0xAA, 0x46, 0xD6, 0x36, 0x34, 0xE0, 0x26, 0xE8 ),
be_bryan 0:b74591d5ab33 463 BYTES_TO_T_UINT_8( 0xE8, 0x10, 0xBD, 0x0C, 0xFE, 0xCA, 0x7F, 0xDB ),
be_bryan 0:b74591d5ab33 464 BYTES_TO_T_UINT_8( 0xE3, 0x4F, 0xF1, 0x7E, 0xE7, 0xA3, 0x47, 0x88 ),
be_bryan 0:b74591d5ab33 465 BYTES_TO_T_UINT_8( 0x6B, 0x3F, 0xC1, 0xB7, 0x81, 0x3A, 0xA6, 0xA2 ),
be_bryan 0:b74591d5ab33 466 BYTES_TO_T_UINT_8( 0xFF, 0x45, 0xCF, 0x68, 0xF0, 0x64, 0x1C, 0x1D ),
be_bryan 0:b74591d5ab33 467 };
be_bryan 0:b74591d5ab33 468 static const mbedtls_mpi_uint brainpoolP384r1_gy[] = {
be_bryan 0:b74591d5ab33 469 BYTES_TO_T_UINT_8( 0x15, 0x53, 0x3C, 0x26, 0x41, 0x03, 0x82, 0x42 ),
be_bryan 0:b74591d5ab33 470 BYTES_TO_T_UINT_8( 0x11, 0x81, 0x91, 0x77, 0x21, 0x46, 0x46, 0x0E ),
be_bryan 0:b74591d5ab33 471 BYTES_TO_T_UINT_8( 0x28, 0x29, 0x91, 0xF9, 0x4F, 0x05, 0x9C, 0xE1 ),
be_bryan 0:b74591d5ab33 472 BYTES_TO_T_UINT_8( 0x64, 0x58, 0xEC, 0xFE, 0x29, 0x0B, 0xB7, 0x62 ),
be_bryan 0:b74591d5ab33 473 BYTES_TO_T_UINT_8( 0x52, 0xD5, 0xCF, 0x95, 0x8E, 0xEB, 0xB1, 0x5C ),
be_bryan 0:b74591d5ab33 474 BYTES_TO_T_UINT_8( 0xA4, 0xC2, 0xF9, 0x20, 0x75, 0x1D, 0xBE, 0x8A ),
be_bryan 0:b74591d5ab33 475 };
be_bryan 0:b74591d5ab33 476 static const mbedtls_mpi_uint brainpoolP384r1_n[] = {
be_bryan 0:b74591d5ab33 477 BYTES_TO_T_UINT_8( 0x65, 0x65, 0x04, 0xE9, 0x02, 0x32, 0x88, 0x3B ),
be_bryan 0:b74591d5ab33 478 BYTES_TO_T_UINT_8( 0x10, 0xC3, 0x7F, 0x6B, 0xAF, 0xB6, 0x3A, 0xCF ),
be_bryan 0:b74591d5ab33 479 BYTES_TO_T_UINT_8( 0xA7, 0x25, 0x04, 0xAC, 0x6C, 0x6E, 0x16, 0x1F ),
be_bryan 0:b74591d5ab33 480 BYTES_TO_T_UINT_8( 0xB3, 0x56, 0x54, 0xED, 0x09, 0x71, 0x2F, 0x15 ),
be_bryan 0:b74591d5ab33 481 BYTES_TO_T_UINT_8( 0xDF, 0x41, 0xE6, 0x50, 0x7E, 0x6F, 0x5D, 0x0F ),
be_bryan 0:b74591d5ab33 482 BYTES_TO_T_UINT_8( 0x28, 0x6D, 0x38, 0xA3, 0x82, 0x1E, 0xB9, 0x8C ),
be_bryan 0:b74591d5ab33 483 };
be_bryan 0:b74591d5ab33 484 #endif /* MBEDTLS_ECP_DP_BP384R1_ENABLED */
be_bryan 0:b74591d5ab33 485
be_bryan 0:b74591d5ab33 486 /*
be_bryan 0:b74591d5ab33 487 * Domain parameters for brainpoolP512r1 (RFC 5639 3.7)
be_bryan 0:b74591d5ab33 488 */
be_bryan 0:b74591d5ab33 489 #if defined(MBEDTLS_ECP_DP_BP512R1_ENABLED)
be_bryan 0:b74591d5ab33 490 static const mbedtls_mpi_uint brainpoolP512r1_p[] = {
be_bryan 0:b74591d5ab33 491 BYTES_TO_T_UINT_8( 0xF3, 0x48, 0x3A, 0x58, 0x56, 0x60, 0xAA, 0x28 ),
be_bryan 0:b74591d5ab33 492 BYTES_TO_T_UINT_8( 0x85, 0xC6, 0x82, 0x2D, 0x2F, 0xFF, 0x81, 0x28 ),
be_bryan 0:b74591d5ab33 493 BYTES_TO_T_UINT_8( 0xE6, 0x80, 0xA3, 0xE6, 0x2A, 0xA1, 0xCD, 0xAE ),
be_bryan 0:b74591d5ab33 494 BYTES_TO_T_UINT_8( 0x42, 0x68, 0xC6, 0x9B, 0x00, 0x9B, 0x4D, 0x7D ),
be_bryan 0:b74591d5ab33 495 BYTES_TO_T_UINT_8( 0x71, 0x08, 0x33, 0x70, 0xCA, 0x9C, 0x63, 0xD6 ),
be_bryan 0:b74591d5ab33 496 BYTES_TO_T_UINT_8( 0x0E, 0xD2, 0xC9, 0xB3, 0xB3, 0x8D, 0x30, 0xCB ),
be_bryan 0:b74591d5ab33 497 BYTES_TO_T_UINT_8( 0x07, 0xFC, 0xC9, 0x33, 0xAE, 0xE6, 0xD4, 0x3F ),
be_bryan 0:b74591d5ab33 498 BYTES_TO_T_UINT_8( 0x8B, 0xC4, 0xE9, 0xDB, 0xB8, 0x9D, 0xDD, 0xAA ),
be_bryan 0:b74591d5ab33 499 };
be_bryan 0:b74591d5ab33 500 static const mbedtls_mpi_uint brainpoolP512r1_a[] = {
be_bryan 0:b74591d5ab33 501 BYTES_TO_T_UINT_8( 0xCA, 0x94, 0xFC, 0x77, 0x4D, 0xAC, 0xC1, 0xE7 ),
be_bryan 0:b74591d5ab33 502 BYTES_TO_T_UINT_8( 0xB9, 0xC7, 0xF2, 0x2B, 0xA7, 0x17, 0x11, 0x7F ),
be_bryan 0:b74591d5ab33 503 BYTES_TO_T_UINT_8( 0xB5, 0xC8, 0x9A, 0x8B, 0xC9, 0xF1, 0x2E, 0x0A ),
be_bryan 0:b74591d5ab33 504 BYTES_TO_T_UINT_8( 0xA1, 0x3A, 0x25, 0xA8, 0x5A, 0x5D, 0xED, 0x2D ),
be_bryan 0:b74591d5ab33 505 BYTES_TO_T_UINT_8( 0xBC, 0x63, 0x98, 0xEA, 0xCA, 0x41, 0x34, 0xA8 ),
be_bryan 0:b74591d5ab33 506 BYTES_TO_T_UINT_8( 0x10, 0x16, 0xF9, 0x3D, 0x8D, 0xDD, 0xCB, 0x94 ),
be_bryan 0:b74591d5ab33 507 BYTES_TO_T_UINT_8( 0xC5, 0x4C, 0x23, 0xAC, 0x45, 0x71, 0x32, 0xE2 ),
be_bryan 0:b74591d5ab33 508 BYTES_TO_T_UINT_8( 0x89, 0x3B, 0x60, 0x8B, 0x31, 0xA3, 0x30, 0x78 ),
be_bryan 0:b74591d5ab33 509 };
be_bryan 0:b74591d5ab33 510 static const mbedtls_mpi_uint brainpoolP512r1_b[] = {
be_bryan 0:b74591d5ab33 511 BYTES_TO_T_UINT_8( 0x23, 0xF7, 0x16, 0x80, 0x63, 0xBD, 0x09, 0x28 ),
be_bryan 0:b74591d5ab33 512 BYTES_TO_T_UINT_8( 0xDD, 0xE5, 0xBA, 0x5E, 0xB7, 0x50, 0x40, 0x98 ),
be_bryan 0:b74591d5ab33 513 BYTES_TO_T_UINT_8( 0x67, 0x3E, 0x08, 0xDC, 0xCA, 0x94, 0xFC, 0x77 ),
be_bryan 0:b74591d5ab33 514 BYTES_TO_T_UINT_8( 0x4D, 0xAC, 0xC1, 0xE7, 0xB9, 0xC7, 0xF2, 0x2B ),
be_bryan 0:b74591d5ab33 515 BYTES_TO_T_UINT_8( 0xA7, 0x17, 0x11, 0x7F, 0xB5, 0xC8, 0x9A, 0x8B ),
be_bryan 0:b74591d5ab33 516 BYTES_TO_T_UINT_8( 0xC9, 0xF1, 0x2E, 0x0A, 0xA1, 0x3A, 0x25, 0xA8 ),
be_bryan 0:b74591d5ab33 517 BYTES_TO_T_UINT_8( 0x5A, 0x5D, 0xED, 0x2D, 0xBC, 0x63, 0x98, 0xEA ),
be_bryan 0:b74591d5ab33 518 BYTES_TO_T_UINT_8( 0xCA, 0x41, 0x34, 0xA8, 0x10, 0x16, 0xF9, 0x3D ),
be_bryan 0:b74591d5ab33 519 };
be_bryan 0:b74591d5ab33 520 static const mbedtls_mpi_uint brainpoolP512r1_gx[] = {
be_bryan 0:b74591d5ab33 521 BYTES_TO_T_UINT_8( 0x22, 0xF8, 0xB9, 0xBC, 0x09, 0x22, 0x35, 0x8B ),
be_bryan 0:b74591d5ab33 522 BYTES_TO_T_UINT_8( 0x68, 0x5E, 0x6A, 0x40, 0x47, 0x50, 0x6D, 0x7C ),
be_bryan 0:b74591d5ab33 523 BYTES_TO_T_UINT_8( 0x5F, 0x7D, 0xB9, 0x93, 0x7B, 0x68, 0xD1, 0x50 ),
be_bryan 0:b74591d5ab33 524 BYTES_TO_T_UINT_8( 0x8D, 0xD4, 0xD0, 0xE2, 0x78, 0x1F, 0x3B, 0xFF ),
be_bryan 0:b74591d5ab33 525 BYTES_TO_T_UINT_8( 0x8E, 0x09, 0xD0, 0xF4, 0xEE, 0x62, 0x3B, 0xB4 ),
be_bryan 0:b74591d5ab33 526 BYTES_TO_T_UINT_8( 0xC1, 0x16, 0xD9, 0xB5, 0x70, 0x9F, 0xED, 0x85 ),
be_bryan 0:b74591d5ab33 527 BYTES_TO_T_UINT_8( 0x93, 0x6A, 0x4C, 0x9C, 0x2E, 0x32, 0x21, 0x5A ),
be_bryan 0:b74591d5ab33 528 BYTES_TO_T_UINT_8( 0x64, 0xD9, 0x2E, 0xD8, 0xBD, 0xE4, 0xAE, 0x81 ),
be_bryan 0:b74591d5ab33 529 };
be_bryan 0:b74591d5ab33 530 static const mbedtls_mpi_uint brainpoolP512r1_gy[] = {
be_bryan 0:b74591d5ab33 531 BYTES_TO_T_UINT_8( 0x92, 0x08, 0xD8, 0x3A, 0x0F, 0x1E, 0xCD, 0x78 ),
be_bryan 0:b74591d5ab33 532 BYTES_TO_T_UINT_8( 0x06, 0x54, 0xF0, 0xA8, 0x2F, 0x2B, 0xCA, 0xD1 ),
be_bryan 0:b74591d5ab33 533 BYTES_TO_T_UINT_8( 0xAE, 0x63, 0x27, 0x8A, 0xD8, 0x4B, 0xCA, 0x5B ),
be_bryan 0:b74591d5ab33 534 BYTES_TO_T_UINT_8( 0x5E, 0x48, 0x5F, 0x4A, 0x49, 0xDE, 0xDC, 0xB2 ),
be_bryan 0:b74591d5ab33 535 BYTES_TO_T_UINT_8( 0x11, 0x81, 0x1F, 0x88, 0x5B, 0xC5, 0x00, 0xA0 ),
be_bryan 0:b74591d5ab33 536 BYTES_TO_T_UINT_8( 0x1A, 0x7B, 0xA5, 0x24, 0x00, 0xF7, 0x09, 0xF2 ),
be_bryan 0:b74591d5ab33 537 BYTES_TO_T_UINT_8( 0xFD, 0x22, 0x78, 0xCF, 0xA9, 0xBF, 0xEA, 0xC0 ),
be_bryan 0:b74591d5ab33 538 BYTES_TO_T_UINT_8( 0xEC, 0x32, 0x63, 0x56, 0x5D, 0x38, 0xDE, 0x7D ),
be_bryan 0:b74591d5ab33 539 };
be_bryan 0:b74591d5ab33 540 static const mbedtls_mpi_uint brainpoolP512r1_n[] = {
be_bryan 0:b74591d5ab33 541 BYTES_TO_T_UINT_8( 0x69, 0x00, 0xA9, 0x9C, 0x82, 0x96, 0x87, 0xB5 ),
be_bryan 0:b74591d5ab33 542 BYTES_TO_T_UINT_8( 0xDD, 0xDA, 0x5D, 0x08, 0x81, 0xD3, 0xB1, 0x1D ),
be_bryan 0:b74591d5ab33 543 BYTES_TO_T_UINT_8( 0x47, 0x10, 0xAC, 0x7F, 0x19, 0x61, 0x86, 0x41 ),
be_bryan 0:b74591d5ab33 544 BYTES_TO_T_UINT_8( 0x19, 0x26, 0xA9, 0x4C, 0x41, 0x5C, 0x3E, 0x55 ),
be_bryan 0:b74591d5ab33 545 BYTES_TO_T_UINT_8( 0x70, 0x08, 0x33, 0x70, 0xCA, 0x9C, 0x63, 0xD6 ),
be_bryan 0:b74591d5ab33 546 BYTES_TO_T_UINT_8( 0x0E, 0xD2, 0xC9, 0xB3, 0xB3, 0x8D, 0x30, 0xCB ),
be_bryan 0:b74591d5ab33 547 BYTES_TO_T_UINT_8( 0x07, 0xFC, 0xC9, 0x33, 0xAE, 0xE6, 0xD4, 0x3F ),
be_bryan 0:b74591d5ab33 548 BYTES_TO_T_UINT_8( 0x8B, 0xC4, 0xE9, 0xDB, 0xB8, 0x9D, 0xDD, 0xAA ),
be_bryan 0:b74591d5ab33 549 };
be_bryan 0:b74591d5ab33 550 #endif /* MBEDTLS_ECP_DP_BP512R1_ENABLED */
be_bryan 0:b74591d5ab33 551
be_bryan 0:b74591d5ab33 552 /*
be_bryan 0:b74591d5ab33 553 * Create an MPI from embedded constants
be_bryan 0:b74591d5ab33 554 * (assumes len is an exact multiple of sizeof mbedtls_mpi_uint)
be_bryan 0:b74591d5ab33 555 */
be_bryan 0:b74591d5ab33 556 static inline void ecp_mpi_load( mbedtls_mpi *X, const mbedtls_mpi_uint *p, size_t len )
be_bryan 0:b74591d5ab33 557 {
be_bryan 0:b74591d5ab33 558 X->s = 1;
be_bryan 0:b74591d5ab33 559 X->n = len / sizeof( mbedtls_mpi_uint );
be_bryan 0:b74591d5ab33 560 X->p = (mbedtls_mpi_uint *) p;
be_bryan 0:b74591d5ab33 561 }
be_bryan 0:b74591d5ab33 562
be_bryan 0:b74591d5ab33 563 /*
be_bryan 0:b74591d5ab33 564 * Set an MPI to static value 1
be_bryan 0:b74591d5ab33 565 */
be_bryan 0:b74591d5ab33 566 static inline void ecp_mpi_set1( mbedtls_mpi *X )
be_bryan 0:b74591d5ab33 567 {
be_bryan 0:b74591d5ab33 568 static mbedtls_mpi_uint one[] = { 1 };
be_bryan 0:b74591d5ab33 569 X->s = 1;
be_bryan 0:b74591d5ab33 570 X->n = 1;
be_bryan 0:b74591d5ab33 571 X->p = one;
be_bryan 0:b74591d5ab33 572 }
be_bryan 0:b74591d5ab33 573
be_bryan 0:b74591d5ab33 574 /*
be_bryan 0:b74591d5ab33 575 * Make group available from embedded constants
be_bryan 0:b74591d5ab33 576 */
be_bryan 0:b74591d5ab33 577 static int ecp_group_load( mbedtls_ecp_group *grp,
be_bryan 0:b74591d5ab33 578 const mbedtls_mpi_uint *p, size_t plen,
be_bryan 0:b74591d5ab33 579 const mbedtls_mpi_uint *a, size_t alen,
be_bryan 0:b74591d5ab33 580 const mbedtls_mpi_uint *b, size_t blen,
be_bryan 0:b74591d5ab33 581 const mbedtls_mpi_uint *gx, size_t gxlen,
be_bryan 0:b74591d5ab33 582 const mbedtls_mpi_uint *gy, size_t gylen,
be_bryan 0:b74591d5ab33 583 const mbedtls_mpi_uint *n, size_t nlen)
be_bryan 0:b74591d5ab33 584 {
be_bryan 0:b74591d5ab33 585 ecp_mpi_load( &grp->P, p, plen );
be_bryan 0:b74591d5ab33 586 if( a != NULL )
be_bryan 0:b74591d5ab33 587 ecp_mpi_load( &grp->A, a, alen );
be_bryan 0:b74591d5ab33 588 ecp_mpi_load( &grp->B, b, blen );
be_bryan 0:b74591d5ab33 589 ecp_mpi_load( &grp->N, n, nlen );
be_bryan 0:b74591d5ab33 590
be_bryan 0:b74591d5ab33 591 ecp_mpi_load( &grp->G.X, gx, gxlen );
be_bryan 0:b74591d5ab33 592 ecp_mpi_load( &grp->G.Y, gy, gylen );
be_bryan 0:b74591d5ab33 593 ecp_mpi_set1( &grp->G.Z );
be_bryan 0:b74591d5ab33 594
be_bryan 0:b74591d5ab33 595 grp->pbits = mbedtls_mpi_bitlen( &grp->P );
be_bryan 0:b74591d5ab33 596 grp->nbits = mbedtls_mpi_bitlen( &grp->N );
be_bryan 0:b74591d5ab33 597
be_bryan 0:b74591d5ab33 598 grp->h = 1;
be_bryan 0:b74591d5ab33 599
be_bryan 0:b74591d5ab33 600 return( 0 );
be_bryan 0:b74591d5ab33 601 }
be_bryan 0:b74591d5ab33 602
be_bryan 0:b74591d5ab33 603 #if defined(MBEDTLS_ECP_NIST_OPTIM)
be_bryan 0:b74591d5ab33 604 /* Forward declarations */
be_bryan 0:b74591d5ab33 605 #if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
be_bryan 0:b74591d5ab33 606 static int ecp_mod_p192( mbedtls_mpi * );
be_bryan 0:b74591d5ab33 607 #endif
be_bryan 0:b74591d5ab33 608 #if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
be_bryan 0:b74591d5ab33 609 static int ecp_mod_p224( mbedtls_mpi * );
be_bryan 0:b74591d5ab33 610 #endif
be_bryan 0:b74591d5ab33 611 #if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
be_bryan 0:b74591d5ab33 612 static int ecp_mod_p256( mbedtls_mpi * );
be_bryan 0:b74591d5ab33 613 #endif
be_bryan 0:b74591d5ab33 614 #if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
be_bryan 0:b74591d5ab33 615 static int ecp_mod_p384( mbedtls_mpi * );
be_bryan 0:b74591d5ab33 616 #endif
be_bryan 0:b74591d5ab33 617 #if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
be_bryan 0:b74591d5ab33 618 static int ecp_mod_p521( mbedtls_mpi * );
be_bryan 0:b74591d5ab33 619 #endif
be_bryan 0:b74591d5ab33 620
be_bryan 0:b74591d5ab33 621 #define NIST_MODP( P ) grp->modp = ecp_mod_ ## P;
be_bryan 0:b74591d5ab33 622 #else
be_bryan 0:b74591d5ab33 623 #define NIST_MODP( P )
be_bryan 0:b74591d5ab33 624 #endif /* MBEDTLS_ECP_NIST_OPTIM */
be_bryan 0:b74591d5ab33 625
be_bryan 0:b74591d5ab33 626 /* Additional forward declarations */
be_bryan 0:b74591d5ab33 627 #if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
be_bryan 0:b74591d5ab33 628 static int ecp_mod_p255( mbedtls_mpi * );
be_bryan 0:b74591d5ab33 629 #endif
be_bryan 0:b74591d5ab33 630 #if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
be_bryan 0:b74591d5ab33 631 static int ecp_mod_p192k1( mbedtls_mpi * );
be_bryan 0:b74591d5ab33 632 #endif
be_bryan 0:b74591d5ab33 633 #if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
be_bryan 0:b74591d5ab33 634 static int ecp_mod_p224k1( mbedtls_mpi * );
be_bryan 0:b74591d5ab33 635 #endif
be_bryan 0:b74591d5ab33 636 #if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
be_bryan 0:b74591d5ab33 637 static int ecp_mod_p256k1( mbedtls_mpi * );
be_bryan 0:b74591d5ab33 638 #endif
be_bryan 0:b74591d5ab33 639
be_bryan 0:b74591d5ab33 640 #define LOAD_GROUP_A( G ) ecp_group_load( grp, \
be_bryan 0:b74591d5ab33 641 G ## _p, sizeof( G ## _p ), \
be_bryan 0:b74591d5ab33 642 G ## _a, sizeof( G ## _a ), \
be_bryan 0:b74591d5ab33 643 G ## _b, sizeof( G ## _b ), \
be_bryan 0:b74591d5ab33 644 G ## _gx, sizeof( G ## _gx ), \
be_bryan 0:b74591d5ab33 645 G ## _gy, sizeof( G ## _gy ), \
be_bryan 0:b74591d5ab33 646 G ## _n, sizeof( G ## _n ) )
be_bryan 0:b74591d5ab33 647
be_bryan 0:b74591d5ab33 648 #define LOAD_GROUP( G ) ecp_group_load( grp, \
be_bryan 0:b74591d5ab33 649 G ## _p, sizeof( G ## _p ), \
be_bryan 0:b74591d5ab33 650 NULL, 0, \
be_bryan 0:b74591d5ab33 651 G ## _b, sizeof( G ## _b ), \
be_bryan 0:b74591d5ab33 652 G ## _gx, sizeof( G ## _gx ), \
be_bryan 0:b74591d5ab33 653 G ## _gy, sizeof( G ## _gy ), \
be_bryan 0:b74591d5ab33 654 G ## _n, sizeof( G ## _n ) )
be_bryan 0:b74591d5ab33 655
be_bryan 0:b74591d5ab33 656 #if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
be_bryan 0:b74591d5ab33 657 /*
be_bryan 0:b74591d5ab33 658 * Specialized function for creating the Curve25519 group
be_bryan 0:b74591d5ab33 659 */
be_bryan 0:b74591d5ab33 660 static int ecp_use_curve25519( mbedtls_ecp_group *grp )
be_bryan 0:b74591d5ab33 661 {
be_bryan 0:b74591d5ab33 662 int ret;
be_bryan 0:b74591d5ab33 663
be_bryan 0:b74591d5ab33 664 /* Actually ( A + 2 ) / 4 */
be_bryan 0:b74591d5ab33 665 MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &grp->A, 16, "01DB42" ) );
be_bryan 0:b74591d5ab33 666
be_bryan 0:b74591d5ab33 667 /* P = 2^255 - 19 */
be_bryan 0:b74591d5ab33 668 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->P, 1 ) );
be_bryan 0:b74591d5ab33 669 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_l( &grp->P, 255 ) );
be_bryan 0:b74591d5ab33 670 MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &grp->P, &grp->P, 19 ) );
be_bryan 0:b74591d5ab33 671 grp->pbits = mbedtls_mpi_bitlen( &grp->P );
be_bryan 0:b74591d5ab33 672
be_bryan 0:b74591d5ab33 673 /* Y intentionaly not set, since we use x/z coordinates.
be_bryan 0:b74591d5ab33 674 * This is used as a marker to identify Montgomery curves! */
be_bryan 0:b74591d5ab33 675 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->G.X, 9 ) );
be_bryan 0:b74591d5ab33 676 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->G.Z, 1 ) );
be_bryan 0:b74591d5ab33 677 mbedtls_mpi_free( &grp->G.Y );
be_bryan 0:b74591d5ab33 678
be_bryan 0:b74591d5ab33 679 /* Actually, the required msb for private keys */
be_bryan 0:b74591d5ab33 680 grp->nbits = 254;
be_bryan 0:b74591d5ab33 681
be_bryan 0:b74591d5ab33 682 cleanup:
be_bryan 0:b74591d5ab33 683 if( ret != 0 )
be_bryan 0:b74591d5ab33 684 mbedtls_ecp_group_free( grp );
be_bryan 0:b74591d5ab33 685
be_bryan 0:b74591d5ab33 686 return( ret );
be_bryan 0:b74591d5ab33 687 }
be_bryan 0:b74591d5ab33 688 #endif /* MBEDTLS_ECP_DP_CURVE25519_ENABLED */
be_bryan 0:b74591d5ab33 689
be_bryan 0:b74591d5ab33 690 /*
be_bryan 0:b74591d5ab33 691 * Set a group using well-known domain parameters
be_bryan 0:b74591d5ab33 692 */
be_bryan 0:b74591d5ab33 693 int mbedtls_ecp_group_load( mbedtls_ecp_group *grp, mbedtls_ecp_group_id id )
be_bryan 0:b74591d5ab33 694 {
be_bryan 0:b74591d5ab33 695 mbedtls_ecp_group_free( grp );
be_bryan 0:b74591d5ab33 696
be_bryan 0:b74591d5ab33 697 grp->id = id;
be_bryan 0:b74591d5ab33 698
be_bryan 0:b74591d5ab33 699 switch( id )
be_bryan 0:b74591d5ab33 700 {
be_bryan 0:b74591d5ab33 701 #if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
be_bryan 0:b74591d5ab33 702 case MBEDTLS_ECP_DP_SECP192R1:
be_bryan 0:b74591d5ab33 703 NIST_MODP( p192 );
be_bryan 0:b74591d5ab33 704 return( LOAD_GROUP( secp192r1 ) );
be_bryan 0:b74591d5ab33 705 #endif /* MBEDTLS_ECP_DP_SECP192R1_ENABLED */
be_bryan 0:b74591d5ab33 706
be_bryan 0:b74591d5ab33 707 #if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
be_bryan 0:b74591d5ab33 708 case MBEDTLS_ECP_DP_SECP224R1:
be_bryan 0:b74591d5ab33 709 NIST_MODP( p224 );
be_bryan 0:b74591d5ab33 710 return( LOAD_GROUP( secp224r1 ) );
be_bryan 0:b74591d5ab33 711 #endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED */
be_bryan 0:b74591d5ab33 712
be_bryan 0:b74591d5ab33 713 #if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
be_bryan 0:b74591d5ab33 714 case MBEDTLS_ECP_DP_SECP256R1:
be_bryan 0:b74591d5ab33 715 NIST_MODP( p256 );
be_bryan 0:b74591d5ab33 716 return( LOAD_GROUP( secp256r1 ) );
be_bryan 0:b74591d5ab33 717 #endif /* MBEDTLS_ECP_DP_SECP256R1_ENABLED */
be_bryan 0:b74591d5ab33 718
be_bryan 0:b74591d5ab33 719 #if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
be_bryan 0:b74591d5ab33 720 case MBEDTLS_ECP_DP_SECP384R1:
be_bryan 0:b74591d5ab33 721 NIST_MODP( p384 );
be_bryan 0:b74591d5ab33 722 return( LOAD_GROUP( secp384r1 ) );
be_bryan 0:b74591d5ab33 723 #endif /* MBEDTLS_ECP_DP_SECP384R1_ENABLED */
be_bryan 0:b74591d5ab33 724
be_bryan 0:b74591d5ab33 725 #if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
be_bryan 0:b74591d5ab33 726 case MBEDTLS_ECP_DP_SECP521R1:
be_bryan 0:b74591d5ab33 727 NIST_MODP( p521 );
be_bryan 0:b74591d5ab33 728 return( LOAD_GROUP( secp521r1 ) );
be_bryan 0:b74591d5ab33 729 #endif /* MBEDTLS_ECP_DP_SECP521R1_ENABLED */
be_bryan 0:b74591d5ab33 730
be_bryan 0:b74591d5ab33 731 #if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
be_bryan 0:b74591d5ab33 732 case MBEDTLS_ECP_DP_SECP192K1:
be_bryan 0:b74591d5ab33 733 grp->modp = ecp_mod_p192k1;
be_bryan 0:b74591d5ab33 734 return( LOAD_GROUP_A( secp192k1 ) );
be_bryan 0:b74591d5ab33 735 #endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED */
be_bryan 0:b74591d5ab33 736
be_bryan 0:b74591d5ab33 737 #if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
be_bryan 0:b74591d5ab33 738 case MBEDTLS_ECP_DP_SECP224K1:
be_bryan 0:b74591d5ab33 739 grp->modp = ecp_mod_p224k1;
be_bryan 0:b74591d5ab33 740 return( LOAD_GROUP_A( secp224k1 ) );
be_bryan 0:b74591d5ab33 741 #endif /* MBEDTLS_ECP_DP_SECP224K1_ENABLED */
be_bryan 0:b74591d5ab33 742
be_bryan 0:b74591d5ab33 743 #if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
be_bryan 0:b74591d5ab33 744 case MBEDTLS_ECP_DP_SECP256K1:
be_bryan 0:b74591d5ab33 745 grp->modp = ecp_mod_p256k1;
be_bryan 0:b74591d5ab33 746 return( LOAD_GROUP_A( secp256k1 ) );
be_bryan 0:b74591d5ab33 747 #endif /* MBEDTLS_ECP_DP_SECP256K1_ENABLED */
be_bryan 0:b74591d5ab33 748
be_bryan 0:b74591d5ab33 749 #if defined(MBEDTLS_ECP_DP_BP256R1_ENABLED)
be_bryan 0:b74591d5ab33 750 case MBEDTLS_ECP_DP_BP256R1:
be_bryan 0:b74591d5ab33 751 return( LOAD_GROUP_A( brainpoolP256r1 ) );
be_bryan 0:b74591d5ab33 752 #endif /* MBEDTLS_ECP_DP_BP256R1_ENABLED */
be_bryan 0:b74591d5ab33 753
be_bryan 0:b74591d5ab33 754 #if defined(MBEDTLS_ECP_DP_BP384R1_ENABLED)
be_bryan 0:b74591d5ab33 755 case MBEDTLS_ECP_DP_BP384R1:
be_bryan 0:b74591d5ab33 756 return( LOAD_GROUP_A( brainpoolP384r1 ) );
be_bryan 0:b74591d5ab33 757 #endif /* MBEDTLS_ECP_DP_BP384R1_ENABLED */
be_bryan 0:b74591d5ab33 758
be_bryan 0:b74591d5ab33 759 #if defined(MBEDTLS_ECP_DP_BP512R1_ENABLED)
be_bryan 0:b74591d5ab33 760 case MBEDTLS_ECP_DP_BP512R1:
be_bryan 0:b74591d5ab33 761 return( LOAD_GROUP_A( brainpoolP512r1 ) );
be_bryan 0:b74591d5ab33 762 #endif /* MBEDTLS_ECP_DP_BP512R1_ENABLED */
be_bryan 0:b74591d5ab33 763
be_bryan 0:b74591d5ab33 764 #if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
be_bryan 0:b74591d5ab33 765 case MBEDTLS_ECP_DP_CURVE25519:
be_bryan 0:b74591d5ab33 766 grp->modp = ecp_mod_p255;
be_bryan 0:b74591d5ab33 767 return( ecp_use_curve25519( grp ) );
be_bryan 0:b74591d5ab33 768 #endif /* MBEDTLS_ECP_DP_CURVE25519_ENABLED */
be_bryan 0:b74591d5ab33 769
be_bryan 0:b74591d5ab33 770 default:
be_bryan 0:b74591d5ab33 771 mbedtls_ecp_group_free( grp );
be_bryan 0:b74591d5ab33 772 return( MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE );
be_bryan 0:b74591d5ab33 773 }
be_bryan 0:b74591d5ab33 774 }
be_bryan 0:b74591d5ab33 775
be_bryan 0:b74591d5ab33 776 #if defined(MBEDTLS_ECP_NIST_OPTIM)
be_bryan 0:b74591d5ab33 777 /*
be_bryan 0:b74591d5ab33 778 * Fast reduction modulo the primes used by the NIST curves.
be_bryan 0:b74591d5ab33 779 *
be_bryan 0:b74591d5ab33 780 * These functions are critical for speed, but not needed for correct
be_bryan 0:b74591d5ab33 781 * operations. So, we make the choice to heavily rely on the internals of our
be_bryan 0:b74591d5ab33 782 * bignum library, which creates a tight coupling between these functions and
be_bryan 0:b74591d5ab33 783 * our MPI implementation. However, the coupling between the ECP module and
be_bryan 0:b74591d5ab33 784 * MPI remains loose, since these functions can be deactivated at will.
be_bryan 0:b74591d5ab33 785 */
be_bryan 0:b74591d5ab33 786
be_bryan 0:b74591d5ab33 787 #if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
be_bryan 0:b74591d5ab33 788 /*
be_bryan 0:b74591d5ab33 789 * Compared to the way things are presented in FIPS 186-3 D.2,
be_bryan 0:b74591d5ab33 790 * we proceed in columns, from right (least significant chunk) to left,
be_bryan 0:b74591d5ab33 791 * adding chunks to N in place, and keeping a carry for the next chunk.
be_bryan 0:b74591d5ab33 792 * This avoids moving things around in memory, and uselessly adding zeros,
be_bryan 0:b74591d5ab33 793 * compared to the more straightforward, line-oriented approach.
be_bryan 0:b74591d5ab33 794 *
be_bryan 0:b74591d5ab33 795 * For this prime we need to handle data in chunks of 64 bits.
be_bryan 0:b74591d5ab33 796 * Since this is always a multiple of our basic mbedtls_mpi_uint, we can
be_bryan 0:b74591d5ab33 797 * use a mbedtls_mpi_uint * to designate such a chunk, and small loops to handle it.
be_bryan 0:b74591d5ab33 798 */
be_bryan 0:b74591d5ab33 799
be_bryan 0:b74591d5ab33 800 /* Add 64-bit chunks (dst += src) and update carry */
be_bryan 0:b74591d5ab33 801 static inline void add64( mbedtls_mpi_uint *dst, mbedtls_mpi_uint *src, mbedtls_mpi_uint *carry )
be_bryan 0:b74591d5ab33 802 {
be_bryan 0:b74591d5ab33 803 unsigned char i;
be_bryan 0:b74591d5ab33 804 mbedtls_mpi_uint c = 0;
be_bryan 0:b74591d5ab33 805 for( i = 0; i < 8 / sizeof( mbedtls_mpi_uint ); i++, dst++, src++ )
be_bryan 0:b74591d5ab33 806 {
be_bryan 0:b74591d5ab33 807 *dst += c; c = ( *dst < c );
be_bryan 0:b74591d5ab33 808 *dst += *src; c += ( *dst < *src );
be_bryan 0:b74591d5ab33 809 }
be_bryan 0:b74591d5ab33 810 *carry += c;
be_bryan 0:b74591d5ab33 811 }
be_bryan 0:b74591d5ab33 812
be_bryan 0:b74591d5ab33 813 /* Add carry to a 64-bit chunk and update carry */
be_bryan 0:b74591d5ab33 814 static inline void carry64( mbedtls_mpi_uint *dst, mbedtls_mpi_uint *carry )
be_bryan 0:b74591d5ab33 815 {
be_bryan 0:b74591d5ab33 816 unsigned char i;
be_bryan 0:b74591d5ab33 817 for( i = 0; i < 8 / sizeof( mbedtls_mpi_uint ); i++, dst++ )
be_bryan 0:b74591d5ab33 818 {
be_bryan 0:b74591d5ab33 819 *dst += *carry;
be_bryan 0:b74591d5ab33 820 *carry = ( *dst < *carry );
be_bryan 0:b74591d5ab33 821 }
be_bryan 0:b74591d5ab33 822 }
be_bryan 0:b74591d5ab33 823
be_bryan 0:b74591d5ab33 824 #define WIDTH 8 / sizeof( mbedtls_mpi_uint )
be_bryan 0:b74591d5ab33 825 #define A( i ) N->p + i * WIDTH
be_bryan 0:b74591d5ab33 826 #define ADD( i ) add64( p, A( i ), &c )
be_bryan 0:b74591d5ab33 827 #define NEXT p += WIDTH; carry64( p, &c )
be_bryan 0:b74591d5ab33 828 #define LAST p += WIDTH; *p = c; while( ++p < end ) *p = 0
be_bryan 0:b74591d5ab33 829
be_bryan 0:b74591d5ab33 830 /*
be_bryan 0:b74591d5ab33 831 * Fast quasi-reduction modulo p192 (FIPS 186-3 D.2.1)
be_bryan 0:b74591d5ab33 832 */
be_bryan 0:b74591d5ab33 833 static int ecp_mod_p192( mbedtls_mpi *N )
be_bryan 0:b74591d5ab33 834 {
be_bryan 0:b74591d5ab33 835 int ret;
be_bryan 0:b74591d5ab33 836 mbedtls_mpi_uint c = 0;
be_bryan 0:b74591d5ab33 837 mbedtls_mpi_uint *p, *end;
be_bryan 0:b74591d5ab33 838
be_bryan 0:b74591d5ab33 839 /* Make sure we have enough blocks so that A(5) is legal */
be_bryan 0:b74591d5ab33 840 MBEDTLS_MPI_CHK( mbedtls_mpi_grow( N, 6 * WIDTH ) );
be_bryan 0:b74591d5ab33 841
be_bryan 0:b74591d5ab33 842 p = N->p;
be_bryan 0:b74591d5ab33 843 end = p + N->n;
be_bryan 0:b74591d5ab33 844
be_bryan 0:b74591d5ab33 845 ADD( 3 ); ADD( 5 ); NEXT; // A0 += A3 + A5
be_bryan 0:b74591d5ab33 846 ADD( 3 ); ADD( 4 ); ADD( 5 ); NEXT; // A1 += A3 + A4 + A5
be_bryan 0:b74591d5ab33 847 ADD( 4 ); ADD( 5 ); LAST; // A2 += A4 + A5
be_bryan 0:b74591d5ab33 848
be_bryan 0:b74591d5ab33 849 cleanup:
be_bryan 0:b74591d5ab33 850 return( ret );
be_bryan 0:b74591d5ab33 851 }
be_bryan 0:b74591d5ab33 852
be_bryan 0:b74591d5ab33 853 #undef WIDTH
be_bryan 0:b74591d5ab33 854 #undef A
be_bryan 0:b74591d5ab33 855 #undef ADD
be_bryan 0:b74591d5ab33 856 #undef NEXT
be_bryan 0:b74591d5ab33 857 #undef LAST
be_bryan 0:b74591d5ab33 858 #endif /* MBEDTLS_ECP_DP_SECP192R1_ENABLED */
be_bryan 0:b74591d5ab33 859
be_bryan 0:b74591d5ab33 860 #if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED) || \
be_bryan 0:b74591d5ab33 861 defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED) || \
be_bryan 0:b74591d5ab33 862 defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
be_bryan 0:b74591d5ab33 863 /*
be_bryan 0:b74591d5ab33 864 * The reader is advised to first understand ecp_mod_p192() since the same
be_bryan 0:b74591d5ab33 865 * general structure is used here, but with additional complications:
be_bryan 0:b74591d5ab33 866 * (1) chunks of 32 bits, and (2) subtractions.
be_bryan 0:b74591d5ab33 867 */
be_bryan 0:b74591d5ab33 868
be_bryan 0:b74591d5ab33 869 /*
be_bryan 0:b74591d5ab33 870 * For these primes, we need to handle data in chunks of 32 bits.
be_bryan 0:b74591d5ab33 871 * This makes it more complicated if we use 64 bits limbs in MPI,
be_bryan 0:b74591d5ab33 872 * which prevents us from using a uniform access method as for p192.
be_bryan 0:b74591d5ab33 873 *
be_bryan 0:b74591d5ab33 874 * So, we define a mini abstraction layer to access 32 bit chunks,
be_bryan 0:b74591d5ab33 875 * load them in 'cur' for work, and store them back from 'cur' when done.
be_bryan 0:b74591d5ab33 876 *
be_bryan 0:b74591d5ab33 877 * While at it, also define the size of N in terms of 32-bit chunks.
be_bryan 0:b74591d5ab33 878 */
be_bryan 0:b74591d5ab33 879 #define LOAD32 cur = A( i );
be_bryan 0:b74591d5ab33 880
be_bryan 0:b74591d5ab33 881 #if defined(MBEDTLS_HAVE_INT32) /* 32 bit */
be_bryan 0:b74591d5ab33 882
be_bryan 0:b74591d5ab33 883 #define MAX32 N->n
be_bryan 0:b74591d5ab33 884 #define A( j ) N->p[j]
be_bryan 0:b74591d5ab33 885 #define STORE32 N->p[i] = cur;
be_bryan 0:b74591d5ab33 886
be_bryan 0:b74591d5ab33 887 #else /* 64-bit */
be_bryan 0:b74591d5ab33 888
be_bryan 0:b74591d5ab33 889 #define MAX32 N->n * 2
be_bryan 0:b74591d5ab33 890 #define A( j ) j % 2 ? (uint32_t)( N->p[j/2] >> 32 ) : (uint32_t)( N->p[j/2] )
be_bryan 0:b74591d5ab33 891 #define STORE32 \
be_bryan 0:b74591d5ab33 892 if( i % 2 ) { \
be_bryan 0:b74591d5ab33 893 N->p[i/2] &= 0x00000000FFFFFFFF; \
be_bryan 0:b74591d5ab33 894 N->p[i/2] |= ((mbedtls_mpi_uint) cur) << 32; \
be_bryan 0:b74591d5ab33 895 } else { \
be_bryan 0:b74591d5ab33 896 N->p[i/2] &= 0xFFFFFFFF00000000; \
be_bryan 0:b74591d5ab33 897 N->p[i/2] |= (mbedtls_mpi_uint) cur; \
be_bryan 0:b74591d5ab33 898 }
be_bryan 0:b74591d5ab33 899
be_bryan 0:b74591d5ab33 900 #endif /* sizeof( mbedtls_mpi_uint ) */
be_bryan 0:b74591d5ab33 901
be_bryan 0:b74591d5ab33 902 /*
be_bryan 0:b74591d5ab33 903 * Helpers for addition and subtraction of chunks, with signed carry.
be_bryan 0:b74591d5ab33 904 */
be_bryan 0:b74591d5ab33 905 static inline void add32( uint32_t *dst, uint32_t src, signed char *carry )
be_bryan 0:b74591d5ab33 906 {
be_bryan 0:b74591d5ab33 907 *dst += src;
be_bryan 0:b74591d5ab33 908 *carry += ( *dst < src );
be_bryan 0:b74591d5ab33 909 }
be_bryan 0:b74591d5ab33 910
be_bryan 0:b74591d5ab33 911 static inline void sub32( uint32_t *dst, uint32_t src, signed char *carry )
be_bryan 0:b74591d5ab33 912 {
be_bryan 0:b74591d5ab33 913 *carry -= ( *dst < src );
be_bryan 0:b74591d5ab33 914 *dst -= src;
be_bryan 0:b74591d5ab33 915 }
be_bryan 0:b74591d5ab33 916
be_bryan 0:b74591d5ab33 917 #define ADD( j ) add32( &cur, A( j ), &c );
be_bryan 0:b74591d5ab33 918 #define SUB( j ) sub32( &cur, A( j ), &c );
be_bryan 0:b74591d5ab33 919
be_bryan 0:b74591d5ab33 920 /*
be_bryan 0:b74591d5ab33 921 * Helpers for the main 'loop'
be_bryan 0:b74591d5ab33 922 * (see fix_negative for the motivation of C)
be_bryan 0:b74591d5ab33 923 */
be_bryan 0:b74591d5ab33 924 #define INIT( b ) \
be_bryan 0:b74591d5ab33 925 int ret; \
be_bryan 0:b74591d5ab33 926 signed char c = 0, cc; \
be_bryan 0:b74591d5ab33 927 uint32_t cur; \
be_bryan 0:b74591d5ab33 928 size_t i = 0, bits = b; \
be_bryan 0:b74591d5ab33 929 mbedtls_mpi C; \
be_bryan 0:b74591d5ab33 930 mbedtls_mpi_uint Cp[ b / 8 / sizeof( mbedtls_mpi_uint) + 1 ]; \
be_bryan 0:b74591d5ab33 931 \
be_bryan 0:b74591d5ab33 932 C.s = 1; \
be_bryan 0:b74591d5ab33 933 C.n = b / 8 / sizeof( mbedtls_mpi_uint) + 1; \
be_bryan 0:b74591d5ab33 934 C.p = Cp; \
be_bryan 0:b74591d5ab33 935 memset( Cp, 0, C.n * sizeof( mbedtls_mpi_uint ) ); \
be_bryan 0:b74591d5ab33 936 \
be_bryan 0:b74591d5ab33 937 MBEDTLS_MPI_CHK( mbedtls_mpi_grow( N, b * 2 / 8 / sizeof( mbedtls_mpi_uint ) ) ); \
be_bryan 0:b74591d5ab33 938 LOAD32;
be_bryan 0:b74591d5ab33 939
be_bryan 0:b74591d5ab33 940 #define NEXT \
be_bryan 0:b74591d5ab33 941 STORE32; i++; LOAD32; \
be_bryan 0:b74591d5ab33 942 cc = c; c = 0; \
be_bryan 0:b74591d5ab33 943 if( cc < 0 ) \
be_bryan 0:b74591d5ab33 944 sub32( &cur, -cc, &c ); \
be_bryan 0:b74591d5ab33 945 else \
be_bryan 0:b74591d5ab33 946 add32( &cur, cc, &c ); \
be_bryan 0:b74591d5ab33 947
be_bryan 0:b74591d5ab33 948 #define LAST \
be_bryan 0:b74591d5ab33 949 STORE32; i++; \
be_bryan 0:b74591d5ab33 950 cur = c > 0 ? c : 0; STORE32; \
be_bryan 0:b74591d5ab33 951 cur = 0; while( ++i < MAX32 ) { STORE32; } \
be_bryan 0:b74591d5ab33 952 if( c < 0 ) fix_negative( N, c, &C, bits );
be_bryan 0:b74591d5ab33 953
be_bryan 0:b74591d5ab33 954 /*
be_bryan 0:b74591d5ab33 955 * If the result is negative, we get it in the form
be_bryan 0:b74591d5ab33 956 * c * 2^(bits + 32) + N, with c negative and N positive shorter than 'bits'
be_bryan 0:b74591d5ab33 957 */
be_bryan 0:b74591d5ab33 958 static inline int fix_negative( mbedtls_mpi *N, signed char c, mbedtls_mpi *C, size_t bits )
be_bryan 0:b74591d5ab33 959 {
be_bryan 0:b74591d5ab33 960 int ret;
be_bryan 0:b74591d5ab33 961
be_bryan 0:b74591d5ab33 962 /* C = - c * 2^(bits + 32) */
be_bryan 0:b74591d5ab33 963 #if !defined(MBEDTLS_HAVE_INT64)
be_bryan 0:b74591d5ab33 964 ((void) bits);
be_bryan 0:b74591d5ab33 965 #else
be_bryan 0:b74591d5ab33 966 if( bits == 224 )
be_bryan 0:b74591d5ab33 967 C->p[ C->n - 1 ] = ((mbedtls_mpi_uint) -c) << 32;
be_bryan 0:b74591d5ab33 968 else
be_bryan 0:b74591d5ab33 969 #endif
be_bryan 0:b74591d5ab33 970 C->p[ C->n - 1 ] = (mbedtls_mpi_uint) -c;
be_bryan 0:b74591d5ab33 971
be_bryan 0:b74591d5ab33 972 /* N = - ( C - N ) */
be_bryan 0:b74591d5ab33 973 MBEDTLS_MPI_CHK( mbedtls_mpi_sub_abs( N, C, N ) );
be_bryan 0:b74591d5ab33 974 N->s = -1;
be_bryan 0:b74591d5ab33 975
be_bryan 0:b74591d5ab33 976 cleanup:
be_bryan 0:b74591d5ab33 977
be_bryan 0:b74591d5ab33 978 return( ret );
be_bryan 0:b74591d5ab33 979 }
be_bryan 0:b74591d5ab33 980
be_bryan 0:b74591d5ab33 981 #if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
be_bryan 0:b74591d5ab33 982 /*
be_bryan 0:b74591d5ab33 983 * Fast quasi-reduction modulo p224 (FIPS 186-3 D.2.2)
be_bryan 0:b74591d5ab33 984 */
be_bryan 0:b74591d5ab33 985 static int ecp_mod_p224( mbedtls_mpi *N )
be_bryan 0:b74591d5ab33 986 {
be_bryan 0:b74591d5ab33 987 INIT( 224 );
be_bryan 0:b74591d5ab33 988
be_bryan 0:b74591d5ab33 989 SUB( 7 ); SUB( 11 ); NEXT; // A0 += -A7 - A11
be_bryan 0:b74591d5ab33 990 SUB( 8 ); SUB( 12 ); NEXT; // A1 += -A8 - A12
be_bryan 0:b74591d5ab33 991 SUB( 9 ); SUB( 13 ); NEXT; // A2 += -A9 - A13
be_bryan 0:b74591d5ab33 992 SUB( 10 ); ADD( 7 ); ADD( 11 ); NEXT; // A3 += -A10 + A7 + A11
be_bryan 0:b74591d5ab33 993 SUB( 11 ); ADD( 8 ); ADD( 12 ); NEXT; // A4 += -A11 + A8 + A12
be_bryan 0:b74591d5ab33 994 SUB( 12 ); ADD( 9 ); ADD( 13 ); NEXT; // A5 += -A12 + A9 + A13
be_bryan 0:b74591d5ab33 995 SUB( 13 ); ADD( 10 ); LAST; // A6 += -A13 + A10
be_bryan 0:b74591d5ab33 996
be_bryan 0:b74591d5ab33 997 cleanup:
be_bryan 0:b74591d5ab33 998 return( ret );
be_bryan 0:b74591d5ab33 999 }
be_bryan 0:b74591d5ab33 1000 #endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED */
be_bryan 0:b74591d5ab33 1001
be_bryan 0:b74591d5ab33 1002 #if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
be_bryan 0:b74591d5ab33 1003 /*
be_bryan 0:b74591d5ab33 1004 * Fast quasi-reduction modulo p256 (FIPS 186-3 D.2.3)
be_bryan 0:b74591d5ab33 1005 */
be_bryan 0:b74591d5ab33 1006 static int ecp_mod_p256( mbedtls_mpi *N )
be_bryan 0:b74591d5ab33 1007 {
be_bryan 0:b74591d5ab33 1008 INIT( 256 );
be_bryan 0:b74591d5ab33 1009
be_bryan 0:b74591d5ab33 1010 ADD( 8 ); ADD( 9 );
be_bryan 0:b74591d5ab33 1011 SUB( 11 ); SUB( 12 ); SUB( 13 ); SUB( 14 ); NEXT; // A0
be_bryan 0:b74591d5ab33 1012
be_bryan 0:b74591d5ab33 1013 ADD( 9 ); ADD( 10 );
be_bryan 0:b74591d5ab33 1014 SUB( 12 ); SUB( 13 ); SUB( 14 ); SUB( 15 ); NEXT; // A1
be_bryan 0:b74591d5ab33 1015
be_bryan 0:b74591d5ab33 1016 ADD( 10 ); ADD( 11 );
be_bryan 0:b74591d5ab33 1017 SUB( 13 ); SUB( 14 ); SUB( 15 ); NEXT; // A2
be_bryan 0:b74591d5ab33 1018
be_bryan 0:b74591d5ab33 1019 ADD( 11 ); ADD( 11 ); ADD( 12 ); ADD( 12 ); ADD( 13 );
be_bryan 0:b74591d5ab33 1020 SUB( 15 ); SUB( 8 ); SUB( 9 ); NEXT; // A3
be_bryan 0:b74591d5ab33 1021
be_bryan 0:b74591d5ab33 1022 ADD( 12 ); ADD( 12 ); ADD( 13 ); ADD( 13 ); ADD( 14 );
be_bryan 0:b74591d5ab33 1023 SUB( 9 ); SUB( 10 ); NEXT; // A4
be_bryan 0:b74591d5ab33 1024
be_bryan 0:b74591d5ab33 1025 ADD( 13 ); ADD( 13 ); ADD( 14 ); ADD( 14 ); ADD( 15 );
be_bryan 0:b74591d5ab33 1026 SUB( 10 ); SUB( 11 ); NEXT; // A5
be_bryan 0:b74591d5ab33 1027
be_bryan 0:b74591d5ab33 1028 ADD( 14 ); ADD( 14 ); ADD( 15 ); ADD( 15 ); ADD( 14 ); ADD( 13 );
be_bryan 0:b74591d5ab33 1029 SUB( 8 ); SUB( 9 ); NEXT; // A6
be_bryan 0:b74591d5ab33 1030
be_bryan 0:b74591d5ab33 1031 ADD( 15 ); ADD( 15 ); ADD( 15 ); ADD( 8 );
be_bryan 0:b74591d5ab33 1032 SUB( 10 ); SUB( 11 ); SUB( 12 ); SUB( 13 ); LAST; // A7
be_bryan 0:b74591d5ab33 1033
be_bryan 0:b74591d5ab33 1034 cleanup:
be_bryan 0:b74591d5ab33 1035 return( ret );
be_bryan 0:b74591d5ab33 1036 }
be_bryan 0:b74591d5ab33 1037 #endif /* MBEDTLS_ECP_DP_SECP256R1_ENABLED */
be_bryan 0:b74591d5ab33 1038
be_bryan 0:b74591d5ab33 1039 #if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
be_bryan 0:b74591d5ab33 1040 /*
be_bryan 0:b74591d5ab33 1041 * Fast quasi-reduction modulo p384 (FIPS 186-3 D.2.4)
be_bryan 0:b74591d5ab33 1042 */
be_bryan 0:b74591d5ab33 1043 static int ecp_mod_p384( mbedtls_mpi *N )
be_bryan 0:b74591d5ab33 1044 {
be_bryan 0:b74591d5ab33 1045 INIT( 384 );
be_bryan 0:b74591d5ab33 1046
be_bryan 0:b74591d5ab33 1047 ADD( 12 ); ADD( 21 ); ADD( 20 );
be_bryan 0:b74591d5ab33 1048 SUB( 23 ); NEXT; // A0
be_bryan 0:b74591d5ab33 1049
be_bryan 0:b74591d5ab33 1050 ADD( 13 ); ADD( 22 ); ADD( 23 );
be_bryan 0:b74591d5ab33 1051 SUB( 12 ); SUB( 20 ); NEXT; // A2
be_bryan 0:b74591d5ab33 1052
be_bryan 0:b74591d5ab33 1053 ADD( 14 ); ADD( 23 );
be_bryan 0:b74591d5ab33 1054 SUB( 13 ); SUB( 21 ); NEXT; // A2
be_bryan 0:b74591d5ab33 1055
be_bryan 0:b74591d5ab33 1056 ADD( 15 ); ADD( 12 ); ADD( 20 ); ADD( 21 );
be_bryan 0:b74591d5ab33 1057 SUB( 14 ); SUB( 22 ); SUB( 23 ); NEXT; // A3
be_bryan 0:b74591d5ab33 1058
be_bryan 0:b74591d5ab33 1059 ADD( 21 ); ADD( 21 ); ADD( 16 ); ADD( 13 ); ADD( 12 ); ADD( 20 ); ADD( 22 );
be_bryan 0:b74591d5ab33 1060 SUB( 15 ); SUB( 23 ); SUB( 23 ); NEXT; // A4
be_bryan 0:b74591d5ab33 1061
be_bryan 0:b74591d5ab33 1062 ADD( 22 ); ADD( 22 ); ADD( 17 ); ADD( 14 ); ADD( 13 ); ADD( 21 ); ADD( 23 );
be_bryan 0:b74591d5ab33 1063 SUB( 16 ); NEXT; // A5
be_bryan 0:b74591d5ab33 1064
be_bryan 0:b74591d5ab33 1065 ADD( 23 ); ADD( 23 ); ADD( 18 ); ADD( 15 ); ADD( 14 ); ADD( 22 );
be_bryan 0:b74591d5ab33 1066 SUB( 17 ); NEXT; // A6
be_bryan 0:b74591d5ab33 1067
be_bryan 0:b74591d5ab33 1068 ADD( 19 ); ADD( 16 ); ADD( 15 ); ADD( 23 );
be_bryan 0:b74591d5ab33 1069 SUB( 18 ); NEXT; // A7
be_bryan 0:b74591d5ab33 1070
be_bryan 0:b74591d5ab33 1071 ADD( 20 ); ADD( 17 ); ADD( 16 );
be_bryan 0:b74591d5ab33 1072 SUB( 19 ); NEXT; // A8
be_bryan 0:b74591d5ab33 1073
be_bryan 0:b74591d5ab33 1074 ADD( 21 ); ADD( 18 ); ADD( 17 );
be_bryan 0:b74591d5ab33 1075 SUB( 20 ); NEXT; // A9
be_bryan 0:b74591d5ab33 1076
be_bryan 0:b74591d5ab33 1077 ADD( 22 ); ADD( 19 ); ADD( 18 );
be_bryan 0:b74591d5ab33 1078 SUB( 21 ); NEXT; // A10
be_bryan 0:b74591d5ab33 1079
be_bryan 0:b74591d5ab33 1080 ADD( 23 ); ADD( 20 ); ADD( 19 );
be_bryan 0:b74591d5ab33 1081 SUB( 22 ); LAST; // A11
be_bryan 0:b74591d5ab33 1082
be_bryan 0:b74591d5ab33 1083 cleanup:
be_bryan 0:b74591d5ab33 1084 return( ret );
be_bryan 0:b74591d5ab33 1085 }
be_bryan 0:b74591d5ab33 1086 #endif /* MBEDTLS_ECP_DP_SECP384R1_ENABLED */
be_bryan 0:b74591d5ab33 1087
be_bryan 0:b74591d5ab33 1088 #undef A
be_bryan 0:b74591d5ab33 1089 #undef LOAD32
be_bryan 0:b74591d5ab33 1090 #undef STORE32
be_bryan 0:b74591d5ab33 1091 #undef MAX32
be_bryan 0:b74591d5ab33 1092 #undef INIT
be_bryan 0:b74591d5ab33 1093 #undef NEXT
be_bryan 0:b74591d5ab33 1094 #undef LAST
be_bryan 0:b74591d5ab33 1095
be_bryan 0:b74591d5ab33 1096 #endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED ||
be_bryan 0:b74591d5ab33 1097 MBEDTLS_ECP_DP_SECP256R1_ENABLED ||
be_bryan 0:b74591d5ab33 1098 MBEDTLS_ECP_DP_SECP384R1_ENABLED */
be_bryan 0:b74591d5ab33 1099
be_bryan 0:b74591d5ab33 1100 #if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
be_bryan 0:b74591d5ab33 1101 /*
be_bryan 0:b74591d5ab33 1102 * Here we have an actual Mersenne prime, so things are more straightforward.
be_bryan 0:b74591d5ab33 1103 * However, chunks are aligned on a 'weird' boundary (521 bits).
be_bryan 0:b74591d5ab33 1104 */
be_bryan 0:b74591d5ab33 1105
be_bryan 0:b74591d5ab33 1106 /* Size of p521 in terms of mbedtls_mpi_uint */
be_bryan 0:b74591d5ab33 1107 #define P521_WIDTH ( 521 / 8 / sizeof( mbedtls_mpi_uint ) + 1 )
be_bryan 0:b74591d5ab33 1108
be_bryan 0:b74591d5ab33 1109 /* Bits to keep in the most significant mbedtls_mpi_uint */
be_bryan 0:b74591d5ab33 1110 #define P521_MASK 0x01FF
be_bryan 0:b74591d5ab33 1111
be_bryan 0:b74591d5ab33 1112 /*
be_bryan 0:b74591d5ab33 1113 * Fast quasi-reduction modulo p521 (FIPS 186-3 D.2.5)
be_bryan 0:b74591d5ab33 1114 * Write N as A1 + 2^521 A0, return A0 + A1
be_bryan 0:b74591d5ab33 1115 */
be_bryan 0:b74591d5ab33 1116 static int ecp_mod_p521( mbedtls_mpi *N )
be_bryan 0:b74591d5ab33 1117 {
be_bryan 0:b74591d5ab33 1118 int ret;
be_bryan 0:b74591d5ab33 1119 size_t i;
be_bryan 0:b74591d5ab33 1120 mbedtls_mpi M;
be_bryan 0:b74591d5ab33 1121 mbedtls_mpi_uint Mp[P521_WIDTH + 1];
be_bryan 0:b74591d5ab33 1122 /* Worst case for the size of M is when mbedtls_mpi_uint is 16 bits:
be_bryan 0:b74591d5ab33 1123 * we need to hold bits 513 to 1056, which is 34 limbs, that is
be_bryan 0:b74591d5ab33 1124 * P521_WIDTH + 1. Otherwise P521_WIDTH is enough. */
be_bryan 0:b74591d5ab33 1125
be_bryan 0:b74591d5ab33 1126 if( N->n < P521_WIDTH )
be_bryan 0:b74591d5ab33 1127 return( 0 );
be_bryan 0:b74591d5ab33 1128
be_bryan 0:b74591d5ab33 1129 /* M = A1 */
be_bryan 0:b74591d5ab33 1130 M.s = 1;
be_bryan 0:b74591d5ab33 1131 M.n = N->n - ( P521_WIDTH - 1 );
be_bryan 0:b74591d5ab33 1132 if( M.n > P521_WIDTH + 1 )
be_bryan 0:b74591d5ab33 1133 M.n = P521_WIDTH + 1;
be_bryan 0:b74591d5ab33 1134 M.p = Mp;
be_bryan 0:b74591d5ab33 1135 memcpy( Mp, N->p + P521_WIDTH - 1, M.n * sizeof( mbedtls_mpi_uint ) );
be_bryan 0:b74591d5ab33 1136 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &M, 521 % ( 8 * sizeof( mbedtls_mpi_uint ) ) ) );
be_bryan 0:b74591d5ab33 1137
be_bryan 0:b74591d5ab33 1138 /* N = A0 */
be_bryan 0:b74591d5ab33 1139 N->p[P521_WIDTH - 1] &= P521_MASK;
be_bryan 0:b74591d5ab33 1140 for( i = P521_WIDTH; i < N->n; i++ )
be_bryan 0:b74591d5ab33 1141 N->p[i] = 0;
be_bryan 0:b74591d5ab33 1142
be_bryan 0:b74591d5ab33 1143 /* N = A0 + A1 */
be_bryan 0:b74591d5ab33 1144 MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( N, N, &M ) );
be_bryan 0:b74591d5ab33 1145
be_bryan 0:b74591d5ab33 1146 cleanup:
be_bryan 0:b74591d5ab33 1147 return( ret );
be_bryan 0:b74591d5ab33 1148 }
be_bryan 0:b74591d5ab33 1149
be_bryan 0:b74591d5ab33 1150 #undef P521_WIDTH
be_bryan 0:b74591d5ab33 1151 #undef P521_MASK
be_bryan 0:b74591d5ab33 1152 #endif /* MBEDTLS_ECP_DP_SECP521R1_ENABLED */
be_bryan 0:b74591d5ab33 1153
be_bryan 0:b74591d5ab33 1154 #endif /* MBEDTLS_ECP_NIST_OPTIM */
be_bryan 0:b74591d5ab33 1155
be_bryan 0:b74591d5ab33 1156 #if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
be_bryan 0:b74591d5ab33 1157
be_bryan 0:b74591d5ab33 1158 /* Size of p255 in terms of mbedtls_mpi_uint */
be_bryan 0:b74591d5ab33 1159 #define P255_WIDTH ( 255 / 8 / sizeof( mbedtls_mpi_uint ) + 1 )
be_bryan 0:b74591d5ab33 1160
be_bryan 0:b74591d5ab33 1161 /*
be_bryan 0:b74591d5ab33 1162 * Fast quasi-reduction modulo p255 = 2^255 - 19
be_bryan 0:b74591d5ab33 1163 * Write N as A0 + 2^255 A1, return A0 + 19 * A1
be_bryan 0:b74591d5ab33 1164 */
be_bryan 0:b74591d5ab33 1165 static int ecp_mod_p255( mbedtls_mpi *N )
be_bryan 0:b74591d5ab33 1166 {
be_bryan 0:b74591d5ab33 1167 int ret;
be_bryan 0:b74591d5ab33 1168 size_t i;
be_bryan 0:b74591d5ab33 1169 mbedtls_mpi M;
be_bryan 0:b74591d5ab33 1170 mbedtls_mpi_uint Mp[P255_WIDTH + 2];
be_bryan 0:b74591d5ab33 1171
be_bryan 0:b74591d5ab33 1172 if( N->n < P255_WIDTH )
be_bryan 0:b74591d5ab33 1173 return( 0 );
be_bryan 0:b74591d5ab33 1174
be_bryan 0:b74591d5ab33 1175 /* M = A1 */
be_bryan 0:b74591d5ab33 1176 M.s = 1;
be_bryan 0:b74591d5ab33 1177 M.n = N->n - ( P255_WIDTH - 1 );
be_bryan 0:b74591d5ab33 1178 if( M.n > P255_WIDTH + 1 )
be_bryan 0:b74591d5ab33 1179 M.n = P255_WIDTH + 1;
be_bryan 0:b74591d5ab33 1180 M.p = Mp;
be_bryan 0:b74591d5ab33 1181 memset( Mp, 0, sizeof Mp );
be_bryan 0:b74591d5ab33 1182 memcpy( Mp, N->p + P255_WIDTH - 1, M.n * sizeof( mbedtls_mpi_uint ) );
be_bryan 0:b74591d5ab33 1183 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &M, 255 % ( 8 * sizeof( mbedtls_mpi_uint ) ) ) );
be_bryan 0:b74591d5ab33 1184 M.n++; /* Make room for multiplication by 19 */
be_bryan 0:b74591d5ab33 1185
be_bryan 0:b74591d5ab33 1186 /* N = A0 */
be_bryan 0:b74591d5ab33 1187 MBEDTLS_MPI_CHK( mbedtls_mpi_set_bit( N, 255, 0 ) );
be_bryan 0:b74591d5ab33 1188 for( i = P255_WIDTH; i < N->n; i++ )
be_bryan 0:b74591d5ab33 1189 N->p[i] = 0;
be_bryan 0:b74591d5ab33 1190
be_bryan 0:b74591d5ab33 1191 /* N = A0 + 19 * A1 */
be_bryan 0:b74591d5ab33 1192 MBEDTLS_MPI_CHK( mbedtls_mpi_mul_int( &M, &M, 19 ) );
be_bryan 0:b74591d5ab33 1193 MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( N, N, &M ) );
be_bryan 0:b74591d5ab33 1194
be_bryan 0:b74591d5ab33 1195 cleanup:
be_bryan 0:b74591d5ab33 1196 return( ret );
be_bryan 0:b74591d5ab33 1197 }
be_bryan 0:b74591d5ab33 1198 #endif /* MBEDTLS_ECP_DP_CURVE25519_ENABLED */
be_bryan 0:b74591d5ab33 1199
be_bryan 0:b74591d5ab33 1200 #if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED) || \
be_bryan 0:b74591d5ab33 1201 defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED) || \
be_bryan 0:b74591d5ab33 1202 defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
be_bryan 0:b74591d5ab33 1203 /*
be_bryan 0:b74591d5ab33 1204 * Fast quasi-reduction modulo P = 2^s - R,
be_bryan 0:b74591d5ab33 1205 * with R about 33 bits, used by the Koblitz curves.
be_bryan 0:b74591d5ab33 1206 *
be_bryan 0:b74591d5ab33 1207 * Write N as A0 + 2^224 A1, return A0 + R * A1.
be_bryan 0:b74591d5ab33 1208 * Actually do two passes, since R is big.
be_bryan 0:b74591d5ab33 1209 */
be_bryan 0:b74591d5ab33 1210 #define P_KOBLITZ_MAX ( 256 / 8 / sizeof( mbedtls_mpi_uint ) ) // Max limbs in P
be_bryan 0:b74591d5ab33 1211 #define P_KOBLITZ_R ( 8 / sizeof( mbedtls_mpi_uint ) ) // Limbs in R
be_bryan 0:b74591d5ab33 1212 static inline int ecp_mod_koblitz( mbedtls_mpi *N, mbedtls_mpi_uint *Rp, size_t p_limbs,
be_bryan 0:b74591d5ab33 1213 size_t adjust, size_t shift, mbedtls_mpi_uint mask )
be_bryan 0:b74591d5ab33 1214 {
be_bryan 0:b74591d5ab33 1215 int ret;
be_bryan 0:b74591d5ab33 1216 size_t i;
be_bryan 0:b74591d5ab33 1217 mbedtls_mpi M, R;
be_bryan 0:b74591d5ab33 1218 mbedtls_mpi_uint Mp[P_KOBLITZ_MAX + P_KOBLITZ_R + 1];
be_bryan 0:b74591d5ab33 1219
be_bryan 0:b74591d5ab33 1220 if( N->n < p_limbs )
be_bryan 0:b74591d5ab33 1221 return( 0 );
be_bryan 0:b74591d5ab33 1222
be_bryan 0:b74591d5ab33 1223 /* Init R */
be_bryan 0:b74591d5ab33 1224 R.s = 1;
be_bryan 0:b74591d5ab33 1225 R.p = Rp;
be_bryan 0:b74591d5ab33 1226 R.n = P_KOBLITZ_R;
be_bryan 0:b74591d5ab33 1227
be_bryan 0:b74591d5ab33 1228 /* Common setup for M */
be_bryan 0:b74591d5ab33 1229 M.s = 1;
be_bryan 0:b74591d5ab33 1230 M.p = Mp;
be_bryan 0:b74591d5ab33 1231
be_bryan 0:b74591d5ab33 1232 /* M = A1 */
be_bryan 0:b74591d5ab33 1233 M.n = N->n - ( p_limbs - adjust );
be_bryan 0:b74591d5ab33 1234 if( M.n > p_limbs + adjust )
be_bryan 0:b74591d5ab33 1235 M.n = p_limbs + adjust;
be_bryan 0:b74591d5ab33 1236 memset( Mp, 0, sizeof Mp );
be_bryan 0:b74591d5ab33 1237 memcpy( Mp, N->p + p_limbs - adjust, M.n * sizeof( mbedtls_mpi_uint ) );
be_bryan 0:b74591d5ab33 1238 if( shift != 0 )
be_bryan 0:b74591d5ab33 1239 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &M, shift ) );
be_bryan 0:b74591d5ab33 1240 M.n += R.n; /* Make room for multiplication by R */
be_bryan 0:b74591d5ab33 1241
be_bryan 0:b74591d5ab33 1242 /* N = A0 */
be_bryan 0:b74591d5ab33 1243 if( mask != 0 )
be_bryan 0:b74591d5ab33 1244 N->p[p_limbs - 1] &= mask;
be_bryan 0:b74591d5ab33 1245 for( i = p_limbs; i < N->n; i++ )
be_bryan 0:b74591d5ab33 1246 N->p[i] = 0;
be_bryan 0:b74591d5ab33 1247
be_bryan 0:b74591d5ab33 1248 /* N = A0 + R * A1 */
be_bryan 0:b74591d5ab33 1249 MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &M, &M, &R ) );
be_bryan 0:b74591d5ab33 1250 MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( N, N, &M ) );
be_bryan 0:b74591d5ab33 1251
be_bryan 0:b74591d5ab33 1252 /* Second pass */
be_bryan 0:b74591d5ab33 1253
be_bryan 0:b74591d5ab33 1254 /* M = A1 */
be_bryan 0:b74591d5ab33 1255 M.n = N->n - ( p_limbs - adjust );
be_bryan 0:b74591d5ab33 1256 if( M.n > p_limbs + adjust )
be_bryan 0:b74591d5ab33 1257 M.n = p_limbs + adjust;
be_bryan 0:b74591d5ab33 1258 memset( Mp, 0, sizeof Mp );
be_bryan 0:b74591d5ab33 1259 memcpy( Mp, N->p + p_limbs - adjust, M.n * sizeof( mbedtls_mpi_uint ) );
be_bryan 0:b74591d5ab33 1260 if( shift != 0 )
be_bryan 0:b74591d5ab33 1261 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &M, shift ) );
be_bryan 0:b74591d5ab33 1262 M.n += R.n; /* Make room for multiplication by R */
be_bryan 0:b74591d5ab33 1263
be_bryan 0:b74591d5ab33 1264 /* N = A0 */
be_bryan 0:b74591d5ab33 1265 if( mask != 0 )
be_bryan 0:b74591d5ab33 1266 N->p[p_limbs - 1] &= mask;
be_bryan 0:b74591d5ab33 1267 for( i = p_limbs; i < N->n; i++ )
be_bryan 0:b74591d5ab33 1268 N->p[i] = 0;
be_bryan 0:b74591d5ab33 1269
be_bryan 0:b74591d5ab33 1270 /* N = A0 + R * A1 */
be_bryan 0:b74591d5ab33 1271 MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &M, &M, &R ) );
be_bryan 0:b74591d5ab33 1272 MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( N, N, &M ) );
be_bryan 0:b74591d5ab33 1273
be_bryan 0:b74591d5ab33 1274 cleanup:
be_bryan 0:b74591d5ab33 1275 return( ret );
be_bryan 0:b74591d5ab33 1276 }
be_bryan 0:b74591d5ab33 1277 #endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED) ||
be_bryan 0:b74591d5ab33 1278 MBEDTLS_ECP_DP_SECP224K1_ENABLED) ||
be_bryan 0:b74591d5ab33 1279 MBEDTLS_ECP_DP_SECP256K1_ENABLED) */
be_bryan 0:b74591d5ab33 1280
be_bryan 0:b74591d5ab33 1281 #if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
be_bryan 0:b74591d5ab33 1282 /*
be_bryan 0:b74591d5ab33 1283 * Fast quasi-reduction modulo p192k1 = 2^192 - R,
be_bryan 0:b74591d5ab33 1284 * with R = 2^32 + 2^12 + 2^8 + 2^7 + 2^6 + 2^3 + 1 = 0x0100001119
be_bryan 0:b74591d5ab33 1285 */
be_bryan 0:b74591d5ab33 1286 static int ecp_mod_p192k1( mbedtls_mpi *N )
be_bryan 0:b74591d5ab33 1287 {
be_bryan 0:b74591d5ab33 1288 static mbedtls_mpi_uint Rp[] = {
be_bryan 0:b74591d5ab33 1289 BYTES_TO_T_UINT_8( 0xC9, 0x11, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ) };
be_bryan 0:b74591d5ab33 1290
be_bryan 0:b74591d5ab33 1291 return( ecp_mod_koblitz( N, Rp, 192 / 8 / sizeof( mbedtls_mpi_uint ), 0, 0, 0 ) );
be_bryan 0:b74591d5ab33 1292 }
be_bryan 0:b74591d5ab33 1293 #endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED */
be_bryan 0:b74591d5ab33 1294
be_bryan 0:b74591d5ab33 1295 #if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
be_bryan 0:b74591d5ab33 1296 /*
be_bryan 0:b74591d5ab33 1297 * Fast quasi-reduction modulo p224k1 = 2^224 - R,
be_bryan 0:b74591d5ab33 1298 * with R = 2^32 + 2^12 + 2^11 + 2^9 + 2^7 + 2^4 + 2 + 1 = 0x0100001A93
be_bryan 0:b74591d5ab33 1299 */
be_bryan 0:b74591d5ab33 1300 static int ecp_mod_p224k1( mbedtls_mpi *N )
be_bryan 0:b74591d5ab33 1301 {
be_bryan 0:b74591d5ab33 1302 static mbedtls_mpi_uint Rp[] = {
be_bryan 0:b74591d5ab33 1303 BYTES_TO_T_UINT_8( 0x93, 0x1A, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ) };
be_bryan 0:b74591d5ab33 1304
be_bryan 0:b74591d5ab33 1305 #if defined(MBEDTLS_HAVE_INT64)
be_bryan 0:b74591d5ab33 1306 return( ecp_mod_koblitz( N, Rp, 4, 1, 32, 0xFFFFFFFF ) );
be_bryan 0:b74591d5ab33 1307 #else
be_bryan 0:b74591d5ab33 1308 return( ecp_mod_koblitz( N, Rp, 224 / 8 / sizeof( mbedtls_mpi_uint ), 0, 0, 0 ) );
be_bryan 0:b74591d5ab33 1309 #endif
be_bryan 0:b74591d5ab33 1310 }
be_bryan 0:b74591d5ab33 1311
be_bryan 0:b74591d5ab33 1312 #endif /* MBEDTLS_ECP_DP_SECP224K1_ENABLED */
be_bryan 0:b74591d5ab33 1313
be_bryan 0:b74591d5ab33 1314 #if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
be_bryan 0:b74591d5ab33 1315 /*
be_bryan 0:b74591d5ab33 1316 * Fast quasi-reduction modulo p256k1 = 2^256 - R,
be_bryan 0:b74591d5ab33 1317 * with R = 2^32 + 2^9 + 2^8 + 2^7 + 2^6 + 2^4 + 1 = 0x01000003D1
be_bryan 0:b74591d5ab33 1318 */
be_bryan 0:b74591d5ab33 1319 static int ecp_mod_p256k1( mbedtls_mpi *N )
be_bryan 0:b74591d5ab33 1320 {
be_bryan 0:b74591d5ab33 1321 static mbedtls_mpi_uint Rp[] = {
be_bryan 0:b74591d5ab33 1322 BYTES_TO_T_UINT_8( 0xD1, 0x03, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ) };
be_bryan 0:b74591d5ab33 1323 return( ecp_mod_koblitz( N, Rp, 256 / 8 / sizeof( mbedtls_mpi_uint ), 0, 0, 0 ) );
be_bryan 0:b74591d5ab33 1324 }
be_bryan 0:b74591d5ab33 1325 #endif /* MBEDTLS_ECP_DP_SECP256K1_ENABLED */
be_bryan 0:b74591d5ab33 1326
be_bryan 0:b74591d5ab33 1327 #endif /* !MBEDTLS_ECP_ALT */
be_bryan 0:b74591d5ab33 1328
be_bryan 0:b74591d5ab33 1329 #endif /* MBEDTLS_ECP_C */