1 | /*
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2 | * Elliptic curve DSA
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3 | *
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4 | * Copyright (C) 2006-2015, ARM Limited, All Rights Reserved
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5 | * SPDX-License-Identifier: Apache-2.0
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6 | *
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7 | * Licensed under the Apache License, Version 2.0 (the "License"); you may
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8 | * not use this file except in compliance with the License.
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9 | * You may obtain a copy of the License at
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10 | *
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11 | * http://www.apache.org/licenses/LICENSE-2.0
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12 | *
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13 | * Unless required by applicable law or agreed to in writing, software
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14 | * distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
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15 | * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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16 | * See the License for the specific language governing permissions and
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17 | * limitations under the License.
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18 | *
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19 | * This file is part of mbed TLS (https://tls.mbed.org)
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20 | */
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21 |
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22 | /*
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23 | * References:
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24 | *
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25 | * SEC1 http://www.secg.org/index.php?action=secg,docs_secg
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26 | */
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27 |
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28 | #if !defined(MBEDTLS_CONFIG_FILE)
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29 | #include "mbedtls/config.h"
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30 | #else
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31 | #include MBEDTLS_CONFIG_FILE
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32 | #endif
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33 |
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34 | #if defined(MBEDTLS_ECDSA_C)
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35 |
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36 | #include "mbedtls/ecdsa.h"
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37 | #include "mbedtls/asn1write.h"
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38 |
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39 | #include <string.h>
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40 |
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41 | #if defined(MBEDTLS_ECDSA_DETERMINISTIC)
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42 | #include "mbedtls/hmac_drbg.h"
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43 | #endif
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44 |
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45 | #if defined(MBEDTLS_PLATFORM_C)
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46 | #include "mbedtls/platform.h"
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47 | #else
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48 | #include <stdlib.h>
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49 | #define mbedtls_calloc calloc
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50 | #define mbedtls_free free
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51 | #endif
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52 |
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53 | #include "mbedtls/platform_util.h"
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54 |
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55 | /* Parameter validation macros based on platform_util.h */
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56 | #define ECDSA_VALIDATE_RET( cond ) \
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57 | MBEDTLS_INTERNAL_VALIDATE_RET( cond, MBEDTLS_ERR_ECP_BAD_INPUT_DATA )
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58 | #define ECDSA_VALIDATE( cond ) \
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59 | MBEDTLS_INTERNAL_VALIDATE( cond )
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60 |
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61 | #if defined(MBEDTLS_ECP_RESTARTABLE)
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62 |
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63 | /*
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64 | * Sub-context for ecdsa_verify()
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65 | */
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66 | struct mbedtls_ecdsa_restart_ver
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67 | {
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68 | mbedtls_mpi u1, u2; /* intermediate values */
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69 | enum { /* what to do next? */
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70 | ecdsa_ver_init = 0, /* getting started */
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71 | ecdsa_ver_muladd, /* muladd step */
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72 | } state;
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73 | };
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74 |
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75 | /*
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76 | * Init verify restart sub-context
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77 | */
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78 | static void ecdsa_restart_ver_init( mbedtls_ecdsa_restart_ver_ctx *ctx )
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79 | {
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80 | mbedtls_mpi_init( &ctx->u1 );
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81 | mbedtls_mpi_init( &ctx->u2 );
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82 | ctx->state = ecdsa_ver_init;
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83 | }
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84 |
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85 | /*
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86 | * Free the components of a verify restart sub-context
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87 | */
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88 | static void ecdsa_restart_ver_free( mbedtls_ecdsa_restart_ver_ctx *ctx )
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89 | {
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90 | if( ctx == NULL )
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91 | return;
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92 |
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93 | mbedtls_mpi_free( &ctx->u1 );
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94 | mbedtls_mpi_free( &ctx->u2 );
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95 |
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96 | ecdsa_restart_ver_init( ctx );
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97 | }
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98 |
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99 | /*
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100 | * Sub-context for ecdsa_sign()
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101 | */
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102 | struct mbedtls_ecdsa_restart_sig
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103 | {
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104 | int sign_tries;
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105 | int key_tries;
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106 | mbedtls_mpi k; /* per-signature random */
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107 | mbedtls_mpi r; /* r value */
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108 | enum { /* what to do next? */
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109 | ecdsa_sig_init = 0, /* getting started */
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110 | ecdsa_sig_mul, /* doing ecp_mul() */
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111 | ecdsa_sig_modn, /* mod N computations */
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112 | } state;
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113 | };
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114 |
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115 | /*
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116 | * Init verify sign sub-context
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117 | */
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118 | static void ecdsa_restart_sig_init( mbedtls_ecdsa_restart_sig_ctx *ctx )
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119 | {
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120 | ctx->sign_tries = 0;
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121 | ctx->key_tries = 0;
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122 | mbedtls_mpi_init( &ctx->k );
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123 | mbedtls_mpi_init( &ctx->r );
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124 | ctx->state = ecdsa_sig_init;
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125 | }
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126 |
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127 | /*
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128 | * Free the components of a sign restart sub-context
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129 | */
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130 | static void ecdsa_restart_sig_free( mbedtls_ecdsa_restart_sig_ctx *ctx )
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131 | {
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132 | if( ctx == NULL )
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133 | return;
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134 |
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135 | mbedtls_mpi_free( &ctx->k );
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136 | mbedtls_mpi_free( &ctx->r );
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137 | }
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138 |
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139 | #if defined(MBEDTLS_ECDSA_DETERMINISTIC)
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140 | /*
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141 | * Sub-context for ecdsa_sign_det()
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142 | */
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143 | struct mbedtls_ecdsa_restart_det
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144 | {
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145 | mbedtls_hmac_drbg_context rng_ctx; /* DRBG state */
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146 | enum { /* what to do next? */
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147 | ecdsa_det_init = 0, /* getting started */
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148 | ecdsa_det_sign, /* make signature */
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149 | } state;
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150 | };
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151 |
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152 | /*
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153 | * Init verify sign_det sub-context
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154 | */
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155 | static void ecdsa_restart_det_init( mbedtls_ecdsa_restart_det_ctx *ctx )
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156 | {
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157 | mbedtls_hmac_drbg_init( &ctx->rng_ctx );
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158 | ctx->state = ecdsa_det_init;
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159 | }
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160 |
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161 | /*
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162 | * Free the components of a sign_det restart sub-context
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163 | */
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164 | static void ecdsa_restart_det_free( mbedtls_ecdsa_restart_det_ctx *ctx )
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165 | {
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166 | if( ctx == NULL )
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167 | return;
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168 |
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169 | mbedtls_hmac_drbg_free( &ctx->rng_ctx );
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170 |
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171 | ecdsa_restart_det_init( ctx );
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172 | }
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173 | #endif /* MBEDTLS_ECDSA_DETERMINISTIC */
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174 |
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175 | #define ECDSA_RS_ECP &rs_ctx->ecp
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176 |
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177 | /* Utility macro for checking and updating ops budget */
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178 | #define ECDSA_BUDGET( ops ) \
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179 | MBEDTLS_MPI_CHK( mbedtls_ecp_check_budget( grp, &rs_ctx->ecp, ops ) );
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180 |
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181 | /* Call this when entering a function that needs its own sub-context */
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182 | #define ECDSA_RS_ENTER( SUB ) do { \
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183 | /* reset ops count for this call if top-level */ \
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184 | if( rs_ctx != NULL && rs_ctx->ecp.depth++ == 0 ) \
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185 | rs_ctx->ecp.ops_done = 0; \
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186 | \
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187 | /* set up our own sub-context if needed */ \
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188 | if( mbedtls_ecp_restart_is_enabled() && \
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189 | rs_ctx != NULL && rs_ctx->SUB == NULL ) \
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190 | { \
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191 | rs_ctx->SUB = mbedtls_calloc( 1, sizeof( *rs_ctx->SUB ) ); \
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192 | if( rs_ctx->SUB == NULL ) \
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193 | return( MBEDTLS_ERR_ECP_ALLOC_FAILED ); \
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194 | \
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195 | ecdsa_restart_## SUB ##_init( rs_ctx->SUB ); \
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196 | } \
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197 | } while( 0 )
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198 |
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199 | /* Call this when leaving a function that needs its own sub-context */
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200 | #define ECDSA_RS_LEAVE( SUB ) do { \
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201 | /* clear our sub-context when not in progress (done or error) */ \
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202 | if( rs_ctx != NULL && rs_ctx->SUB != NULL && \
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203 | ret != MBEDTLS_ERR_ECP_IN_PROGRESS ) \
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204 | { \
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205 | ecdsa_restart_## SUB ##_free( rs_ctx->SUB ); \
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206 | mbedtls_free( rs_ctx->SUB ); \
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207 | rs_ctx->SUB = NULL; \
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208 | } \
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209 | \
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210 | if( rs_ctx != NULL ) \
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211 | rs_ctx->ecp.depth--; \
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212 | } while( 0 )
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213 |
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214 | #else /* MBEDTLS_ECP_RESTARTABLE */
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215 |
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216 | #define ECDSA_RS_ECP NULL
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217 |
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218 | #define ECDSA_BUDGET( ops ) /* no-op; for compatibility */
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219 |
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220 | #define ECDSA_RS_ENTER( SUB ) (void) rs_ctx
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221 | #define ECDSA_RS_LEAVE( SUB ) (void) rs_ctx
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222 |
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223 | #endif /* MBEDTLS_ECP_RESTARTABLE */
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224 |
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225 | /*
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226 | * Derive a suitable integer for group grp from a buffer of length len
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227 | * SEC1 4.1.3 step 5 aka SEC1 4.1.4 step 3
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228 | */
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229 | static int derive_mpi( const mbedtls_ecp_group *grp, mbedtls_mpi *x,
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230 | const unsigned char *buf, size_t blen )
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231 | {
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232 | int ret;
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233 | size_t n_size = ( grp->nbits + 7 ) / 8;
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234 | size_t use_size = blen > n_size ? n_size : blen;
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235 |
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236 | MBEDTLS_MPI_CHK( mbedtls_mpi_read_binary( x, buf, use_size ) );
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237 | if( use_size * 8 > grp->nbits )
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238 | MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( x, use_size * 8 - grp->nbits ) );
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239 |
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240 | /* While at it, reduce modulo N */
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241 | if( mbedtls_mpi_cmp_mpi( x, &grp->N ) >= 0 )
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242 | MBEDTLS_MPI_CHK( mbedtls_mpi_sub_mpi( x, x, &grp->N ) );
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243 |
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244 | cleanup:
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245 | return( ret );
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246 | }
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247 |
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248 | #if !defined(MBEDTLS_ECDSA_SIGN_ALT)
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249 | /*
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250 | * Compute ECDSA signature of a hashed message (SEC1 4.1.3)
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251 | * Obviously, compared to SEC1 4.1.3, we skip step 4 (hash message)
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252 | */
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253 | static int ecdsa_sign_restartable( mbedtls_ecp_group *grp,
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254 | mbedtls_mpi *r, mbedtls_mpi *s,
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255 | const mbedtls_mpi *d, const unsigned char *buf, size_t blen,
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256 | int (*f_rng)(void *, unsigned char *, size_t), void *p_rng,
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257 | mbedtls_ecdsa_restart_ctx *rs_ctx )
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258 | {
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259 | int ret, key_tries, sign_tries;
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260 | int *p_sign_tries = &sign_tries, *p_key_tries = &key_tries;
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261 | mbedtls_ecp_point R;
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262 | mbedtls_mpi k, e, t;
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263 | mbedtls_mpi *pk = &k, *pr = r;
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264 |
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265 | /* Fail cleanly on curves such as Curve25519 that can't be used for ECDSA */
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266 | if( grp->N.p == NULL )
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267 | return( MBEDTLS_ERR_ECP_BAD_INPUT_DATA );
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268 |
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269 | /* Make sure d is in range 1..n-1 */
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270 | if( mbedtls_mpi_cmp_int( d, 1 ) < 0 || mbedtls_mpi_cmp_mpi( d, &grp->N ) >= 0 )
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271 | return( MBEDTLS_ERR_ECP_INVALID_KEY );
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272 |
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273 | mbedtls_ecp_point_init( &R );
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274 | mbedtls_mpi_init( &k ); mbedtls_mpi_init( &e ); mbedtls_mpi_init( &t );
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275 |
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276 | ECDSA_RS_ENTER( sig );
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277 |
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278 | #if defined(MBEDTLS_ECP_RESTARTABLE)
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279 | if( rs_ctx != NULL && rs_ctx->sig != NULL )
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280 | {
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281 | /* redirect to our context */
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282 | p_sign_tries = &rs_ctx->sig->sign_tries;
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283 | p_key_tries = &rs_ctx->sig->key_tries;
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284 | pk = &rs_ctx->sig->k;
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285 | pr = &rs_ctx->sig->r;
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286 |
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287 | /* jump to current step */
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288 | if( rs_ctx->sig->state == ecdsa_sig_mul )
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289 | goto mul;
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290 | if( rs_ctx->sig->state == ecdsa_sig_modn )
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291 | goto modn;
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292 | }
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293 | #endif /* MBEDTLS_ECP_RESTARTABLE */
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294 |
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295 | *p_sign_tries = 0;
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296 | do
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297 | {
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298 | if( *p_sign_tries++ > 10 )
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299 | {
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300 | ret = MBEDTLS_ERR_ECP_RANDOM_FAILED;
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301 | goto cleanup;
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302 | }
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303 |
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304 | /*
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305 | * Steps 1-3: generate a suitable ephemeral keypair
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306 | * and set r = xR mod n
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307 | */
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308 | *p_key_tries = 0;
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309 | do
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310 | {
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311 | if( *p_key_tries++ > 10 )
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312 | {
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313 | ret = MBEDTLS_ERR_ECP_RANDOM_FAILED;
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314 | goto cleanup;
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315 | }
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316 |
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317 | MBEDTLS_MPI_CHK( mbedtls_ecp_gen_privkey( grp, pk, f_rng, p_rng ) );
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318 |
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319 | #if defined(MBEDTLS_ECP_RESTARTABLE)
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320 | if( rs_ctx != NULL && rs_ctx->sig != NULL )
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321 | rs_ctx->sig->state = ecdsa_sig_mul;
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322 |
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323 | mul:
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324 | #endif
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325 | MBEDTLS_MPI_CHK( mbedtls_ecp_mul_restartable( grp, &R, pk, &grp->G,
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326 | f_rng, p_rng, ECDSA_RS_ECP ) );
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327 | MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( pr, &R.X, &grp->N ) );
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328 | }
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329 | while( mbedtls_mpi_cmp_int( pr, 0 ) == 0 );
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330 |
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331 | #if defined(MBEDTLS_ECP_RESTARTABLE)
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332 | if( rs_ctx != NULL && rs_ctx->sig != NULL )
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333 | rs_ctx->sig->state = ecdsa_sig_modn;
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334 |
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335 | modn:
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336 | #endif
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337 | /*
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338 | * Accounting for everything up to the end of the loop
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339 | * (step 6, but checking now avoids saving e and t)
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340 | */
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341 | ECDSA_BUDGET( MBEDTLS_ECP_OPS_INV + 4 );
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342 |
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343 | /*
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344 | * Step 5: derive MPI from hashed message
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345 | */
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346 | MBEDTLS_MPI_CHK( derive_mpi( grp, &e, buf, blen ) );
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347 |
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348 | /*
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349 | * Generate a random value to blind inv_mod in next step,
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350 | * avoiding a potential timing leak.
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351 | */
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352 | MBEDTLS_MPI_CHK( mbedtls_ecp_gen_privkey( grp, &t, f_rng, p_rng ) );
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353 |
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354 | /*
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355 | * Step 6: compute s = (e + r * d) / k = t (e + rd) / (kt) mod n
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356 | */
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357 | MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( s, pr, d ) );
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358 | MBEDTLS_MPI_CHK( mbedtls_mpi_add_mpi( &e, &e, s ) );
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359 | MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &e, &e, &t ) );
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360 | MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( pk, pk, &t ) );
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361 | MBEDTLS_MPI_CHK( mbedtls_mpi_inv_mod( s, pk, &grp->N ) );
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362 | MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( s, s, &e ) );
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363 | MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( s, s, &grp->N ) );
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364 | }
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365 | while( mbedtls_mpi_cmp_int( s, 0 ) == 0 );
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366 |
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367 | #if defined(MBEDTLS_ECP_RESTARTABLE)
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368 | if( rs_ctx != NULL && rs_ctx->sig != NULL )
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369 | mbedtls_mpi_copy( r, pr );
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370 | #endif
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371 |
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372 | cleanup:
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373 | mbedtls_ecp_point_free( &R );
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374 | mbedtls_mpi_free( &k ); mbedtls_mpi_free( &e ); mbedtls_mpi_free( &t );
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375 |
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376 | ECDSA_RS_LEAVE( sig );
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377 |
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378 | return( ret );
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379 | }
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380 |
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381 | /*
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382 | * Compute ECDSA signature of a hashed message
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383 | */
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384 | int mbedtls_ecdsa_sign( mbedtls_ecp_group *grp, mbedtls_mpi *r, mbedtls_mpi *s,
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385 | const mbedtls_mpi *d, const unsigned char *buf, size_t blen,
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386 | int (*f_rng)(void *, unsigned char *, size_t), void *p_rng )
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387 | {
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388 | ECDSA_VALIDATE_RET( grp != NULL );
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389 | ECDSA_VALIDATE_RET( r != NULL );
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390 | ECDSA_VALIDATE_RET( s != NULL );
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391 | ECDSA_VALIDATE_RET( d != NULL );
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392 | ECDSA_VALIDATE_RET( f_rng != NULL );
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393 | ECDSA_VALIDATE_RET( buf != NULL || blen == 0 );
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394 |
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395 | return( ecdsa_sign_restartable( grp, r, s, d, buf, blen,
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396 | f_rng, p_rng, NULL ) );
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397 | }
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398 | #endif /* !MBEDTLS_ECDSA_SIGN_ALT */
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399 |
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400 | #if defined(MBEDTLS_ECDSA_DETERMINISTIC)
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401 | /*
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402 | * Deterministic signature wrapper
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403 | */
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404 | static int ecdsa_sign_det_restartable( mbedtls_ecp_group *grp,
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405 | mbedtls_mpi *r, mbedtls_mpi *s,
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406 | const mbedtls_mpi *d, const unsigned char *buf, size_t blen,
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407 | mbedtls_md_type_t md_alg,
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408 | mbedtls_ecdsa_restart_ctx *rs_ctx )
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409 | {
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410 | int ret;
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411 | mbedtls_hmac_drbg_context rng_ctx;
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412 | mbedtls_hmac_drbg_context *p_rng = &rng_ctx;
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413 | unsigned char data[2 * MBEDTLS_ECP_MAX_BYTES];
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414 | size_t grp_len = ( grp->nbits + 7 ) / 8;
|
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415 | const mbedtls_md_info_t *md_info;
|
---|
416 | mbedtls_mpi h;
|
---|
417 |
|
---|
418 | if( ( md_info = mbedtls_md_info_from_type( md_alg ) ) == NULL )
|
---|
419 | return( MBEDTLS_ERR_ECP_BAD_INPUT_DATA );
|
---|
420 |
|
---|
421 | mbedtls_mpi_init( &h );
|
---|
422 | mbedtls_hmac_drbg_init( &rng_ctx );
|
---|
423 |
|
---|
424 | ECDSA_RS_ENTER( det );
|
---|
425 |
|
---|
426 | #if defined(MBEDTLS_ECP_RESTARTABLE)
|
---|
427 | if( rs_ctx != NULL && rs_ctx->det != NULL )
|
---|
428 | {
|
---|
429 | /* redirect to our context */
|
---|
430 | p_rng = &rs_ctx->det->rng_ctx;
|
---|
431 |
|
---|
432 | /* jump to current step */
|
---|
433 | if( rs_ctx->det->state == ecdsa_det_sign )
|
---|
434 | goto sign;
|
---|
435 | }
|
---|
436 | #endif /* MBEDTLS_ECP_RESTARTABLE */
|
---|
437 |
|
---|
438 | /* Use private key and message hash (reduced) to initialize HMAC_DRBG */
|
---|
439 | MBEDTLS_MPI_CHK( mbedtls_mpi_write_binary( d, data, grp_len ) );
|
---|
440 | MBEDTLS_MPI_CHK( derive_mpi( grp, &h, buf, blen ) );
|
---|
441 | MBEDTLS_MPI_CHK( mbedtls_mpi_write_binary( &h, data + grp_len, grp_len ) );
|
---|
442 | mbedtls_hmac_drbg_seed_buf( p_rng, md_info, data, 2 * grp_len );
|
---|
443 |
|
---|
444 | #if defined(MBEDTLS_ECP_RESTARTABLE)
|
---|
445 | if( rs_ctx != NULL && rs_ctx->det != NULL )
|
---|
446 | rs_ctx->det->state = ecdsa_det_sign;
|
---|
447 |
|
---|
448 | sign:
|
---|
449 | #endif
|
---|
450 | #if defined(MBEDTLS_ECDSA_SIGN_ALT)
|
---|
451 | ret = mbedtls_ecdsa_sign( grp, r, s, d, buf, blen,
|
---|
452 | mbedtls_hmac_drbg_random, p_rng );
|
---|
453 | #else
|
---|
454 | ret = ecdsa_sign_restartable( grp, r, s, d, buf, blen,
|
---|
455 | mbedtls_hmac_drbg_random, p_rng, rs_ctx );
|
---|
456 | #endif /* MBEDTLS_ECDSA_SIGN_ALT */
|
---|
457 |
|
---|
458 | cleanup:
|
---|
459 | mbedtls_hmac_drbg_free( &rng_ctx );
|
---|
460 | mbedtls_mpi_free( &h );
|
---|
461 |
|
---|
462 | ECDSA_RS_LEAVE( det );
|
---|
463 |
|
---|
464 | return( ret );
|
---|
465 | }
|
---|
466 |
|
---|
467 | /*
|
---|
468 | * Deterministic signature wrapper
|
---|
469 | */
|
---|
470 | int mbedtls_ecdsa_sign_det( mbedtls_ecp_group *grp, mbedtls_mpi *r, mbedtls_mpi *s,
|
---|
471 | const mbedtls_mpi *d, const unsigned char *buf, size_t blen,
|
---|
472 | mbedtls_md_type_t md_alg )
|
---|
473 | {
|
---|
474 | ECDSA_VALIDATE_RET( grp != NULL );
|
---|
475 | ECDSA_VALIDATE_RET( r != NULL );
|
---|
476 | ECDSA_VALIDATE_RET( s != NULL );
|
---|
477 | ECDSA_VALIDATE_RET( d != NULL );
|
---|
478 | ECDSA_VALIDATE_RET( buf != NULL || blen == 0 );
|
---|
479 |
|
---|
480 | return( ecdsa_sign_det_restartable( grp, r, s, d, buf, blen, md_alg, NULL ) );
|
---|
481 | }
|
---|
482 | #endif /* MBEDTLS_ECDSA_DETERMINISTIC */
|
---|
483 |
|
---|
484 | #if !defined(MBEDTLS_ECDSA_VERIFY_ALT)
|
---|
485 | /*
|
---|
486 | * Verify ECDSA signature of hashed message (SEC1 4.1.4)
|
---|
487 | * Obviously, compared to SEC1 4.1.3, we skip step 2 (hash message)
|
---|
488 | */
|
---|
489 | static int ecdsa_verify_restartable( mbedtls_ecp_group *grp,
|
---|
490 | const unsigned char *buf, size_t blen,
|
---|
491 | const mbedtls_ecp_point *Q,
|
---|
492 | const mbedtls_mpi *r, const mbedtls_mpi *s,
|
---|
493 | mbedtls_ecdsa_restart_ctx *rs_ctx )
|
---|
494 | {
|
---|
495 | int ret;
|
---|
496 | mbedtls_mpi e, s_inv, u1, u2;
|
---|
497 | mbedtls_ecp_point R;
|
---|
498 | mbedtls_mpi *pu1 = &u1, *pu2 = &u2;
|
---|
499 |
|
---|
500 | mbedtls_ecp_point_init( &R );
|
---|
501 | mbedtls_mpi_init( &e ); mbedtls_mpi_init( &s_inv );
|
---|
502 | mbedtls_mpi_init( &u1 ); mbedtls_mpi_init( &u2 );
|
---|
503 |
|
---|
504 | /* Fail cleanly on curves such as Curve25519 that can't be used for ECDSA */
|
---|
505 | if( grp->N.p == NULL )
|
---|
506 | return( MBEDTLS_ERR_ECP_BAD_INPUT_DATA );
|
---|
507 |
|
---|
508 | ECDSA_RS_ENTER( ver );
|
---|
509 |
|
---|
510 | #if defined(MBEDTLS_ECP_RESTARTABLE)
|
---|
511 | if( rs_ctx != NULL && rs_ctx->ver != NULL )
|
---|
512 | {
|
---|
513 | /* redirect to our context */
|
---|
514 | pu1 = &rs_ctx->ver->u1;
|
---|
515 | pu2 = &rs_ctx->ver->u2;
|
---|
516 |
|
---|
517 | /* jump to current step */
|
---|
518 | if( rs_ctx->ver->state == ecdsa_ver_muladd )
|
---|
519 | goto muladd;
|
---|
520 | }
|
---|
521 | #endif /* MBEDTLS_ECP_RESTARTABLE */
|
---|
522 |
|
---|
523 | /*
|
---|
524 | * Step 1: make sure r and s are in range 1..n-1
|
---|
525 | */
|
---|
526 | if( mbedtls_mpi_cmp_int( r, 1 ) < 0 || mbedtls_mpi_cmp_mpi( r, &grp->N ) >= 0 ||
|
---|
527 | mbedtls_mpi_cmp_int( s, 1 ) < 0 || mbedtls_mpi_cmp_mpi( s, &grp->N ) >= 0 )
|
---|
528 | {
|
---|
529 | ret = MBEDTLS_ERR_ECP_VERIFY_FAILED;
|
---|
530 | goto cleanup;
|
---|
531 | }
|
---|
532 |
|
---|
533 | /*
|
---|
534 | * Step 3: derive MPI from hashed message
|
---|
535 | */
|
---|
536 | MBEDTLS_MPI_CHK( derive_mpi( grp, &e, buf, blen ) );
|
---|
537 |
|
---|
538 | /*
|
---|
539 | * Step 4: u1 = e / s mod n, u2 = r / s mod n
|
---|
540 | */
|
---|
541 | ECDSA_BUDGET( MBEDTLS_ECP_OPS_CHK + MBEDTLS_ECP_OPS_INV + 2 );
|
---|
542 |
|
---|
543 | MBEDTLS_MPI_CHK( mbedtls_mpi_inv_mod( &s_inv, s, &grp->N ) );
|
---|
544 |
|
---|
545 | MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( pu1, &e, &s_inv ) );
|
---|
546 | MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( pu1, pu1, &grp->N ) );
|
---|
547 |
|
---|
548 | MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( pu2, r, &s_inv ) );
|
---|
549 | MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( pu2, pu2, &grp->N ) );
|
---|
550 |
|
---|
551 | #if defined(MBEDTLS_ECP_RESTARTABLE)
|
---|
552 | if( rs_ctx != NULL && rs_ctx->ver != NULL )
|
---|
553 | rs_ctx->ver->state = ecdsa_ver_muladd;
|
---|
554 |
|
---|
555 | muladd:
|
---|
556 | #endif
|
---|
557 | /*
|
---|
558 | * Step 5: R = u1 G + u2 Q
|
---|
559 | */
|
---|
560 | MBEDTLS_MPI_CHK( mbedtls_ecp_muladd_restartable( grp,
|
---|
561 | &R, pu1, &grp->G, pu2, Q, ECDSA_RS_ECP ) );
|
---|
562 |
|
---|
563 | if( mbedtls_ecp_is_zero( &R ) )
|
---|
564 | {
|
---|
565 | ret = MBEDTLS_ERR_ECP_VERIFY_FAILED;
|
---|
566 | goto cleanup;
|
---|
567 | }
|
---|
568 |
|
---|
569 | /*
|
---|
570 | * Step 6: convert xR to an integer (no-op)
|
---|
571 | * Step 7: reduce xR mod n (gives v)
|
---|
572 | */
|
---|
573 | MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( &R.X, &R.X, &grp->N ) );
|
---|
574 |
|
---|
575 | /*
|
---|
576 | * Step 8: check if v (that is, R.X) is equal to r
|
---|
577 | */
|
---|
578 | if( mbedtls_mpi_cmp_mpi( &R.X, r ) != 0 )
|
---|
579 | {
|
---|
580 | ret = MBEDTLS_ERR_ECP_VERIFY_FAILED;
|
---|
581 | goto cleanup;
|
---|
582 | }
|
---|
583 |
|
---|
584 | cleanup:
|
---|
585 | mbedtls_ecp_point_free( &R );
|
---|
586 | mbedtls_mpi_free( &e ); mbedtls_mpi_free( &s_inv );
|
---|
587 | mbedtls_mpi_free( &u1 ); mbedtls_mpi_free( &u2 );
|
---|
588 |
|
---|
589 | ECDSA_RS_LEAVE( ver );
|
---|
590 |
|
---|
591 | return( ret );
|
---|
592 | }
|
---|
593 |
|
---|
594 | /*
|
---|
595 | * Verify ECDSA signature of hashed message
|
---|
596 | */
|
---|
597 | int mbedtls_ecdsa_verify( mbedtls_ecp_group *grp,
|
---|
598 | const unsigned char *buf, size_t blen,
|
---|
599 | const mbedtls_ecp_point *Q,
|
---|
600 | const mbedtls_mpi *r,
|
---|
601 | const mbedtls_mpi *s)
|
---|
602 | {
|
---|
603 | ECDSA_VALIDATE_RET( grp != NULL );
|
---|
604 | ECDSA_VALIDATE_RET( Q != NULL );
|
---|
605 | ECDSA_VALIDATE_RET( r != NULL );
|
---|
606 | ECDSA_VALIDATE_RET( s != NULL );
|
---|
607 | ECDSA_VALIDATE_RET( buf != NULL || blen == 0 );
|
---|
608 |
|
---|
609 | return( ecdsa_verify_restartable( grp, buf, blen, Q, r, s, NULL ) );
|
---|
610 | }
|
---|
611 | #endif /* !MBEDTLS_ECDSA_VERIFY_ALT */
|
---|
612 |
|
---|
613 | /*
|
---|
614 | * Convert a signature (given by context) to ASN.1
|
---|
615 | */
|
---|
616 | static int ecdsa_signature_to_asn1( const mbedtls_mpi *r, const mbedtls_mpi *s,
|
---|
617 | unsigned char *sig, size_t *slen )
|
---|
618 | {
|
---|
619 | int ret;
|
---|
620 | unsigned char buf[MBEDTLS_ECDSA_MAX_LEN];
|
---|
621 | unsigned char *p = buf + sizeof( buf );
|
---|
622 | size_t len = 0;
|
---|
623 |
|
---|
624 | MBEDTLS_ASN1_CHK_ADD( len, mbedtls_asn1_write_mpi( &p, buf, s ) );
|
---|
625 | MBEDTLS_ASN1_CHK_ADD( len, mbedtls_asn1_write_mpi( &p, buf, r ) );
|
---|
626 |
|
---|
627 | MBEDTLS_ASN1_CHK_ADD( len, mbedtls_asn1_write_len( &p, buf, len ) );
|
---|
628 | MBEDTLS_ASN1_CHK_ADD( len, mbedtls_asn1_write_tag( &p, buf,
|
---|
629 | MBEDTLS_ASN1_CONSTRUCTED | MBEDTLS_ASN1_SEQUENCE ) );
|
---|
630 |
|
---|
631 | memcpy( sig, p, len );
|
---|
632 | *slen = len;
|
---|
633 |
|
---|
634 | return( 0 );
|
---|
635 | }
|
---|
636 |
|
---|
637 | /*
|
---|
638 | * Compute and write signature
|
---|
639 | */
|
---|
640 | int mbedtls_ecdsa_write_signature_restartable( mbedtls_ecdsa_context *ctx,
|
---|
641 | mbedtls_md_type_t md_alg,
|
---|
642 | const unsigned char *hash, size_t hlen,
|
---|
643 | unsigned char *sig, size_t *slen,
|
---|
644 | int (*f_rng)(void *, unsigned char *, size_t),
|
---|
645 | void *p_rng,
|
---|
646 | mbedtls_ecdsa_restart_ctx *rs_ctx )
|
---|
647 | {
|
---|
648 | int ret;
|
---|
649 | mbedtls_mpi r, s;
|
---|
650 | ECDSA_VALIDATE_RET( ctx != NULL );
|
---|
651 | ECDSA_VALIDATE_RET( hash != NULL );
|
---|
652 | ECDSA_VALIDATE_RET( sig != NULL );
|
---|
653 | ECDSA_VALIDATE_RET( slen != NULL );
|
---|
654 |
|
---|
655 | mbedtls_mpi_init( &r );
|
---|
656 | mbedtls_mpi_init( &s );
|
---|
657 |
|
---|
658 | #if defined(MBEDTLS_ECDSA_DETERMINISTIC)
|
---|
659 | (void) f_rng;
|
---|
660 | (void) p_rng;
|
---|
661 |
|
---|
662 | MBEDTLS_MPI_CHK( ecdsa_sign_det_restartable( &ctx->grp, &r, &s, &ctx->d,
|
---|
663 | hash, hlen, md_alg, rs_ctx ) );
|
---|
664 | #else
|
---|
665 | (void) md_alg;
|
---|
666 |
|
---|
667 | #if defined(MBEDTLS_ECDSA_SIGN_ALT)
|
---|
668 | MBEDTLS_MPI_CHK( mbedtls_ecdsa_sign( &ctx->grp, &r, &s, &ctx->d,
|
---|
669 | hash, hlen, f_rng, p_rng ) );
|
---|
670 | #else
|
---|
671 | MBEDTLS_MPI_CHK( ecdsa_sign_restartable( &ctx->grp, &r, &s, &ctx->d,
|
---|
672 | hash, hlen, f_rng, p_rng, rs_ctx ) );
|
---|
673 | #endif /* MBEDTLS_ECDSA_SIGN_ALT */
|
---|
674 | #endif /* MBEDTLS_ECDSA_DETERMINISTIC */
|
---|
675 |
|
---|
676 | MBEDTLS_MPI_CHK( ecdsa_signature_to_asn1( &r, &s, sig, slen ) );
|
---|
677 |
|
---|
678 | cleanup:
|
---|
679 | mbedtls_mpi_free( &r );
|
---|
680 | mbedtls_mpi_free( &s );
|
---|
681 |
|
---|
682 | return( ret );
|
---|
683 | }
|
---|
684 |
|
---|
685 | /*
|
---|
686 | * Compute and write signature
|
---|
687 | */
|
---|
688 | int mbedtls_ecdsa_write_signature( mbedtls_ecdsa_context *ctx,
|
---|
689 | mbedtls_md_type_t md_alg,
|
---|
690 | const unsigned char *hash, size_t hlen,
|
---|
691 | unsigned char *sig, size_t *slen,
|
---|
692 | int (*f_rng)(void *, unsigned char *, size_t),
|
---|
693 | void *p_rng )
|
---|
694 | {
|
---|
695 | ECDSA_VALIDATE_RET( ctx != NULL );
|
---|
696 | ECDSA_VALIDATE_RET( hash != NULL );
|
---|
697 | ECDSA_VALIDATE_RET( sig != NULL );
|
---|
698 | ECDSA_VALIDATE_RET( slen != NULL );
|
---|
699 | return( mbedtls_ecdsa_write_signature_restartable(
|
---|
700 | ctx, md_alg, hash, hlen, sig, slen, f_rng, p_rng, NULL ) );
|
---|
701 | }
|
---|
702 |
|
---|
703 | #if !defined(MBEDTLS_DEPRECATED_REMOVED) && \
|
---|
704 | defined(MBEDTLS_ECDSA_DETERMINISTIC)
|
---|
705 | int mbedtls_ecdsa_write_signature_det( mbedtls_ecdsa_context *ctx,
|
---|
706 | const unsigned char *hash, size_t hlen,
|
---|
707 | unsigned char *sig, size_t *slen,
|
---|
708 | mbedtls_md_type_t md_alg )
|
---|
709 | {
|
---|
710 | ECDSA_VALIDATE_RET( ctx != NULL );
|
---|
711 | ECDSA_VALIDATE_RET( hash != NULL );
|
---|
712 | ECDSA_VALIDATE_RET( sig != NULL );
|
---|
713 | ECDSA_VALIDATE_RET( slen != NULL );
|
---|
714 | return( mbedtls_ecdsa_write_signature( ctx, md_alg, hash, hlen, sig, slen,
|
---|
715 | NULL, NULL ) );
|
---|
716 | }
|
---|
717 | #endif
|
---|
718 |
|
---|
719 | /*
|
---|
720 | * Read and check signature
|
---|
721 | */
|
---|
722 | int mbedtls_ecdsa_read_signature( mbedtls_ecdsa_context *ctx,
|
---|
723 | const unsigned char *hash, size_t hlen,
|
---|
724 | const unsigned char *sig, size_t slen )
|
---|
725 | {
|
---|
726 | ECDSA_VALIDATE_RET( ctx != NULL );
|
---|
727 | ECDSA_VALIDATE_RET( hash != NULL );
|
---|
728 | ECDSA_VALIDATE_RET( sig != NULL );
|
---|
729 | return( mbedtls_ecdsa_read_signature_restartable(
|
---|
730 | ctx, hash, hlen, sig, slen, NULL ) );
|
---|
731 | }
|
---|
732 |
|
---|
733 | /*
|
---|
734 | * Restartable read and check signature
|
---|
735 | */
|
---|
736 | int mbedtls_ecdsa_read_signature_restartable( mbedtls_ecdsa_context *ctx,
|
---|
737 | const unsigned char *hash, size_t hlen,
|
---|
738 | const unsigned char *sig, size_t slen,
|
---|
739 | mbedtls_ecdsa_restart_ctx *rs_ctx )
|
---|
740 | {
|
---|
741 | int ret;
|
---|
742 | unsigned char *p = (unsigned char *) sig;
|
---|
743 | const unsigned char *end = sig + slen;
|
---|
744 | size_t len;
|
---|
745 | mbedtls_mpi r, s;
|
---|
746 | ECDSA_VALIDATE_RET( ctx != NULL );
|
---|
747 | ECDSA_VALIDATE_RET( hash != NULL );
|
---|
748 | ECDSA_VALIDATE_RET( sig != NULL );
|
---|
749 |
|
---|
750 | mbedtls_mpi_init( &r );
|
---|
751 | mbedtls_mpi_init( &s );
|
---|
752 |
|
---|
753 | if( ( ret = mbedtls_asn1_get_tag( &p, end, &len,
|
---|
754 | MBEDTLS_ASN1_CONSTRUCTED | MBEDTLS_ASN1_SEQUENCE ) ) != 0 )
|
---|
755 | {
|
---|
756 | ret += MBEDTLS_ERR_ECP_BAD_INPUT_DATA;
|
---|
757 | goto cleanup;
|
---|
758 | }
|
---|
759 |
|
---|
760 | if( p + len != end )
|
---|
761 | {
|
---|
762 | ret = MBEDTLS_ERR_ECP_BAD_INPUT_DATA +
|
---|
763 | MBEDTLS_ERR_ASN1_LENGTH_MISMATCH;
|
---|
764 | goto cleanup;
|
---|
765 | }
|
---|
766 |
|
---|
767 | if( ( ret = mbedtls_asn1_get_mpi( &p, end, &r ) ) != 0 ||
|
---|
768 | ( ret = mbedtls_asn1_get_mpi( &p, end, &s ) ) != 0 )
|
---|
769 | {
|
---|
770 | ret += MBEDTLS_ERR_ECP_BAD_INPUT_DATA;
|
---|
771 | goto cleanup;
|
---|
772 | }
|
---|
773 | #if defined(MBEDTLS_ECDSA_VERIFY_ALT)
|
---|
774 | if( ( ret = mbedtls_ecdsa_verify( &ctx->grp, hash, hlen,
|
---|
775 | &ctx->Q, &r, &s ) ) != 0 )
|
---|
776 | goto cleanup;
|
---|
777 | #else
|
---|
778 | if( ( ret = ecdsa_verify_restartable( &ctx->grp, hash, hlen,
|
---|
779 | &ctx->Q, &r, &s, rs_ctx ) ) != 0 )
|
---|
780 | goto cleanup;
|
---|
781 | #endif /* MBEDTLS_ECDSA_VERIFY_ALT */
|
---|
782 |
|
---|
783 | /* At this point we know that the buffer starts with a valid signature.
|
---|
784 | * Return 0 if the buffer just contains the signature, and a specific
|
---|
785 | * error code if the valid signature is followed by more data. */
|
---|
786 | if( p != end )
|
---|
787 | ret = MBEDTLS_ERR_ECP_SIG_LEN_MISMATCH;
|
---|
788 |
|
---|
789 | cleanup:
|
---|
790 | mbedtls_mpi_free( &r );
|
---|
791 | mbedtls_mpi_free( &s );
|
---|
792 |
|
---|
793 | return( ret );
|
---|
794 | }
|
---|
795 |
|
---|
796 | #if !defined(MBEDTLS_ECDSA_GENKEY_ALT)
|
---|
797 | /*
|
---|
798 | * Generate key pair
|
---|
799 | */
|
---|
800 | int mbedtls_ecdsa_genkey( mbedtls_ecdsa_context *ctx, mbedtls_ecp_group_id gid,
|
---|
801 | int (*f_rng)(void *, unsigned char *, size_t), void *p_rng )
|
---|
802 | {
|
---|
803 | int ret = 0;
|
---|
804 | ECDSA_VALIDATE_RET( ctx != NULL );
|
---|
805 | ECDSA_VALIDATE_RET( f_rng != NULL );
|
---|
806 |
|
---|
807 | ret = mbedtls_ecp_group_load( &ctx->grp, gid );
|
---|
808 | if( ret != 0 )
|
---|
809 | return( ret );
|
---|
810 |
|
---|
811 | return( mbedtls_ecp_gen_keypair( &ctx->grp, &ctx->d,
|
---|
812 | &ctx->Q, f_rng, p_rng ) );
|
---|
813 | }
|
---|
814 | #endif /* !MBEDTLS_ECDSA_GENKEY_ALT */
|
---|
815 |
|
---|
816 | /*
|
---|
817 | * Set context from an mbedtls_ecp_keypair
|
---|
818 | */
|
---|
819 | int mbedtls_ecdsa_from_keypair( mbedtls_ecdsa_context *ctx, const mbedtls_ecp_keypair *key )
|
---|
820 | {
|
---|
821 | int ret;
|
---|
822 | ECDSA_VALIDATE_RET( ctx != NULL );
|
---|
823 | ECDSA_VALIDATE_RET( key != NULL );
|
---|
824 |
|
---|
825 | if( ( ret = mbedtls_ecp_group_copy( &ctx->grp, &key->grp ) ) != 0 ||
|
---|
826 | ( ret = mbedtls_mpi_copy( &ctx->d, &key->d ) ) != 0 ||
|
---|
827 | ( ret = mbedtls_ecp_copy( &ctx->Q, &key->Q ) ) != 0 )
|
---|
828 | {
|
---|
829 | mbedtls_ecdsa_free( ctx );
|
---|
830 | }
|
---|
831 |
|
---|
832 | return( ret );
|
---|
833 | }
|
---|
834 |
|
---|
835 | /*
|
---|
836 | * Initialize context
|
---|
837 | */
|
---|
838 | void mbedtls_ecdsa_init( mbedtls_ecdsa_context *ctx )
|
---|
839 | {
|
---|
840 | ECDSA_VALIDATE( ctx != NULL );
|
---|
841 |
|
---|
842 | mbedtls_ecp_keypair_init( ctx );
|
---|
843 | }
|
---|
844 |
|
---|
845 | /*
|
---|
846 | * Free context
|
---|
847 | */
|
---|
848 | void mbedtls_ecdsa_free( mbedtls_ecdsa_context *ctx )
|
---|
849 | {
|
---|
850 | if( ctx == NULL )
|
---|
851 | return;
|
---|
852 |
|
---|
853 | mbedtls_ecp_keypair_free( ctx );
|
---|
854 | }
|
---|
855 |
|
---|
856 | #if defined(MBEDTLS_ECP_RESTARTABLE)
|
---|
857 | /*
|
---|
858 | * Initialize a restart context
|
---|
859 | */
|
---|
860 | void mbedtls_ecdsa_restart_init( mbedtls_ecdsa_restart_ctx *ctx )
|
---|
861 | {
|
---|
862 | ECDSA_VALIDATE( ctx != NULL );
|
---|
863 |
|
---|
864 | mbedtls_ecp_restart_init( &ctx->ecp );
|
---|
865 |
|
---|
866 | ctx->ver = NULL;
|
---|
867 | ctx->sig = NULL;
|
---|
868 | #if defined(MBEDTLS_ECDSA_DETERMINISTIC)
|
---|
869 | ctx->det = NULL;
|
---|
870 | #endif
|
---|
871 | }
|
---|
872 |
|
---|
873 | /*
|
---|
874 | * Free the components of a restart context
|
---|
875 | */
|
---|
876 | void mbedtls_ecdsa_restart_free( mbedtls_ecdsa_restart_ctx *ctx )
|
---|
877 | {
|
---|
878 | if( ctx == NULL )
|
---|
879 | return;
|
---|
880 |
|
---|
881 | mbedtls_ecp_restart_free( &ctx->ecp );
|
---|
882 |
|
---|
883 | ecdsa_restart_ver_free( ctx->ver );
|
---|
884 | mbedtls_free( ctx->ver );
|
---|
885 | ctx->ver = NULL;
|
---|
886 |
|
---|
887 | ecdsa_restart_sig_free( ctx->sig );
|
---|
888 | mbedtls_free( ctx->sig );
|
---|
889 | ctx->sig = NULL;
|
---|
890 |
|
---|
891 | #if defined(MBEDTLS_ECDSA_DETERMINISTIC)
|
---|
892 | ecdsa_restart_det_free( ctx->det );
|
---|
893 | mbedtls_free( ctx->det );
|
---|
894 | ctx->det = NULL;
|
---|
895 | #endif
|
---|
896 | }
|
---|
897 | #endif /* MBEDTLS_ECP_RESTARTABLE */
|
---|
898 |
|
---|
899 | #endif /* MBEDTLS_ECDSA_C */
|
---|