1 | /*
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2 | * Copyright 2002-2019 The OpenSSL Project Authors. All Rights Reserved.
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3 | *
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4 | * Licensed under the OpenSSL license (the "License"). You may not use
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5 | * this file except in compliance with the License. You can obtain a copy
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6 | * in the file LICENSE in the source distribution or at
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7 | * https://www.openssl.org/source/license.html
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8 | */
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9 |
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10 | #include <string.h>
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11 | #include <openssl/err.h>
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12 | #include <openssl/obj_mac.h>
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13 | #include <openssl/rand.h>
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14 | #include "crypto/bn.h"
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15 | #include "ec_local.h"
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16 |
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17 | int ossl_ecdsa_sign(int type, const unsigned char *dgst, int dlen,
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18 | unsigned char *sig, unsigned int *siglen,
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19 | const BIGNUM *kinv, const BIGNUM *r, EC_KEY *eckey)
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20 | {
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21 | ECDSA_SIG *s;
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22 |
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23 | s = ECDSA_do_sign_ex(dgst, dlen, kinv, r, eckey);
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24 | if (s == NULL) {
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25 | *siglen = 0;
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26 | return 0;
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27 | }
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28 | *siglen = i2d_ECDSA_SIG(s, &sig);
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29 | ECDSA_SIG_free(s);
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30 | return 1;
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31 | }
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32 |
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33 | static int ecdsa_sign_setup(EC_KEY *eckey, BN_CTX *ctx_in,
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34 | BIGNUM **kinvp, BIGNUM **rp,
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35 | const unsigned char *dgst, int dlen)
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36 | {
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37 | BN_CTX *ctx = NULL;
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38 | BIGNUM *k = NULL, *r = NULL, *X = NULL;
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39 | const BIGNUM *order;
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40 | EC_POINT *tmp_point = NULL;
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41 | const EC_GROUP *group;
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42 | int ret = 0;
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43 | int order_bits;
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44 | const BIGNUM *priv_key;
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45 |
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46 | if (eckey == NULL || (group = EC_KEY_get0_group(eckey)) == NULL) {
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47 | ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_PASSED_NULL_PARAMETER);
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48 | return 0;
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49 | }
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50 | if ((priv_key = EC_KEY_get0_private_key(eckey)) == NULL) {
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51 | ECerr(EC_F_ECDSA_SIGN_SETUP, EC_R_MISSING_PRIVATE_KEY);
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52 | return 0;
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53 | }
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54 |
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55 | if (!EC_KEY_can_sign(eckey)) {
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56 | ECerr(EC_F_ECDSA_SIGN_SETUP, EC_R_CURVE_DOES_NOT_SUPPORT_SIGNING);
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57 | return 0;
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58 | }
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59 |
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60 | if ((ctx = ctx_in) == NULL) {
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61 | if ((ctx = BN_CTX_new()) == NULL) {
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62 | ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_MALLOC_FAILURE);
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63 | return 0;
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64 | }
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65 | }
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66 |
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67 | k = BN_new(); /* this value is later returned in *kinvp */
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68 | r = BN_new(); /* this value is later returned in *rp */
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69 | X = BN_new();
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70 | if (k == NULL || r == NULL || X == NULL) {
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71 | ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_MALLOC_FAILURE);
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72 | goto err;
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73 | }
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74 | if ((tmp_point = EC_POINT_new(group)) == NULL) {
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75 | ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_EC_LIB);
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76 | goto err;
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77 | }
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78 | order = EC_GROUP_get0_order(group);
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79 |
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80 | /* Preallocate space */
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81 | order_bits = BN_num_bits(order);
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82 | if (!BN_set_bit(k, order_bits)
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83 | || !BN_set_bit(r, order_bits)
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84 | || !BN_set_bit(X, order_bits))
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85 | goto err;
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86 |
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87 | do {
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88 | /* get random k */
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89 | do {
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90 | if (dgst != NULL) {
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91 | if (!BN_generate_dsa_nonce(k, order, priv_key,
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92 | dgst, dlen, ctx)) {
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93 | ECerr(EC_F_ECDSA_SIGN_SETUP,
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94 | EC_R_RANDOM_NUMBER_GENERATION_FAILED);
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95 | goto err;
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96 | }
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97 | } else {
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98 | if (!BN_priv_rand_range(k, order)) {
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99 | ECerr(EC_F_ECDSA_SIGN_SETUP,
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100 | EC_R_RANDOM_NUMBER_GENERATION_FAILED);
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101 | goto err;
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102 | }
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103 | }
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104 | } while (BN_is_zero(k));
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105 |
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106 | /* compute r the x-coordinate of generator * k */
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107 | if (!EC_POINT_mul(group, tmp_point, k, NULL, NULL, ctx)) {
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108 | ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_EC_LIB);
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109 | goto err;
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110 | }
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111 |
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112 | if (!EC_POINT_get_affine_coordinates(group, tmp_point, X, NULL, ctx)) {
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113 | ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_EC_LIB);
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114 | goto err;
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115 | }
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116 |
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117 | if (!BN_nnmod(r, X, order, ctx)) {
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118 | ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_BN_LIB);
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119 | goto err;
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120 | }
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121 | } while (BN_is_zero(r));
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122 |
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123 | /* compute the inverse of k */
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124 | if (!ec_group_do_inverse_ord(group, k, k, ctx)) {
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125 | ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_BN_LIB);
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126 | goto err;
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127 | }
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128 |
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129 | /* clear old values if necessary */
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130 | BN_clear_free(*rp);
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131 | BN_clear_free(*kinvp);
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132 | /* save the pre-computed values */
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133 | *rp = r;
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134 | *kinvp = k;
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135 | ret = 1;
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136 | err:
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137 | if (!ret) {
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138 | BN_clear_free(k);
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139 | BN_clear_free(r);
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140 | }
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141 | if (ctx != ctx_in)
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142 | BN_CTX_free(ctx);
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143 | EC_POINT_free(tmp_point);
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144 | BN_clear_free(X);
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145 | return ret;
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146 | }
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147 |
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148 | int ossl_ecdsa_sign_setup(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp,
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149 | BIGNUM **rp)
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150 | {
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151 | return ecdsa_sign_setup(eckey, ctx_in, kinvp, rp, NULL, 0);
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152 | }
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153 |
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154 | ECDSA_SIG *ossl_ecdsa_sign_sig(const unsigned char *dgst, int dgst_len,
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155 | const BIGNUM *in_kinv, const BIGNUM *in_r,
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156 | EC_KEY *eckey)
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157 | {
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158 | int ok = 0, i;
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159 | BIGNUM *kinv = NULL, *s, *m = NULL;
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160 | const BIGNUM *order, *ckinv;
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161 | BN_CTX *ctx = NULL;
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162 | const EC_GROUP *group;
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163 | ECDSA_SIG *ret;
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164 | const BIGNUM *priv_key;
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165 |
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166 | group = EC_KEY_get0_group(eckey);
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167 | priv_key = EC_KEY_get0_private_key(eckey);
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168 |
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169 | if (group == NULL) {
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170 | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_PASSED_NULL_PARAMETER);
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171 | return NULL;
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172 | }
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173 | if (priv_key == NULL) {
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174 | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, EC_R_MISSING_PRIVATE_KEY);
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175 | return NULL;
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176 | }
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177 |
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178 | if (!EC_KEY_can_sign(eckey)) {
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179 | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, EC_R_CURVE_DOES_NOT_SUPPORT_SIGNING);
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180 | return NULL;
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181 | }
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182 |
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183 | ret = ECDSA_SIG_new();
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184 | if (ret == NULL) {
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185 | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_MALLOC_FAILURE);
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186 | return NULL;
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187 | }
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188 | ret->r = BN_new();
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189 | ret->s = BN_new();
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190 | if (ret->r == NULL || ret->s == NULL) {
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191 | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_MALLOC_FAILURE);
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192 | goto err;
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193 | }
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194 | s = ret->s;
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195 |
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196 | if ((ctx = BN_CTX_new()) == NULL
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197 | || (m = BN_new()) == NULL) {
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198 | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_MALLOC_FAILURE);
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199 | goto err;
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200 | }
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201 |
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202 | order = EC_GROUP_get0_order(group);
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203 | i = BN_num_bits(order);
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204 | /*
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205 | * Need to truncate digest if it is too long: first truncate whole bytes.
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206 | */
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207 | if (8 * dgst_len > i)
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208 | dgst_len = (i + 7) / 8;
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209 | if (!BN_bin2bn(dgst, dgst_len, m)) {
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210 | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_BN_LIB);
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211 | goto err;
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212 | }
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213 | /* If still too long, truncate remaining bits with a shift */
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214 | if ((8 * dgst_len > i) && !BN_rshift(m, m, 8 - (i & 0x7))) {
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215 | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_BN_LIB);
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216 | goto err;
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217 | }
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218 | do {
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219 | if (in_kinv == NULL || in_r == NULL) {
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220 | if (!ecdsa_sign_setup(eckey, ctx, &kinv, &ret->r, dgst, dgst_len)) {
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221 | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_ECDSA_LIB);
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222 | goto err;
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223 | }
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224 | ckinv = kinv;
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225 | } else {
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226 | ckinv = in_kinv;
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227 | if (BN_copy(ret->r, in_r) == NULL) {
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228 | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_MALLOC_FAILURE);
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229 | goto err;
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230 | }
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231 | }
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232 |
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233 | /*
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234 | * With only one multiplicant being in Montgomery domain
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235 | * multiplication yields real result without post-conversion.
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236 | * Also note that all operations but last are performed with
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237 | * zero-padded vectors. Last operation, BN_mod_mul_montgomery
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238 | * below, returns user-visible value with removed zero padding.
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239 | */
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240 | if (!bn_to_mont_fixed_top(s, ret->r, group->mont_data, ctx)
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241 | || !bn_mul_mont_fixed_top(s, s, priv_key, group->mont_data, ctx)) {
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242 | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_BN_LIB);
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243 | goto err;
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244 | }
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245 | if (!bn_mod_add_fixed_top(s, s, m, order)) {
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246 | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_BN_LIB);
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247 | goto err;
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248 | }
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249 | /*
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250 | * |s| can still be larger than modulus, because |m| can be. In
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251 | * such case we count on Montgomery reduction to tie it up.
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252 | */
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253 | if (!bn_to_mont_fixed_top(s, s, group->mont_data, ctx)
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254 | || !BN_mod_mul_montgomery(s, s, ckinv, group->mont_data, ctx)) {
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255 | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_BN_LIB);
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256 | goto err;
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257 | }
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258 |
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259 | if (BN_is_zero(s)) {
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260 | /*
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261 | * if kinv and r have been supplied by the caller, don't
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262 | * generate new kinv and r values
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263 | */
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264 | if (in_kinv != NULL && in_r != NULL) {
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265 | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, EC_R_NEED_NEW_SETUP_VALUES);
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266 | goto err;
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267 | }
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268 | } else {
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269 | /* s != 0 => we have a valid signature */
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270 | break;
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271 | }
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272 | } while (1);
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273 |
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274 | ok = 1;
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275 | err:
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276 | if (!ok) {
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277 | ECDSA_SIG_free(ret);
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278 | ret = NULL;
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279 | }
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280 | BN_CTX_free(ctx);
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281 | BN_clear_free(m);
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282 | BN_clear_free(kinv);
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283 | return ret;
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284 | }
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285 |
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286 | /*-
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287 | * returns
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288 | * 1: correct signature
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289 | * 0: incorrect signature
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290 | * -1: error
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291 | */
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292 | int ossl_ecdsa_verify(int type, const unsigned char *dgst, int dgst_len,
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293 | const unsigned char *sigbuf, int sig_len, EC_KEY *eckey)
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294 | {
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295 | ECDSA_SIG *s;
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296 | const unsigned char *p = sigbuf;
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297 | unsigned char *der = NULL;
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298 | int derlen = -1;
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299 | int ret = -1;
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300 |
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301 | s = ECDSA_SIG_new();
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302 | if (s == NULL)
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303 | return ret;
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304 | if (d2i_ECDSA_SIG(&s, &p, sig_len) == NULL)
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305 | goto err;
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306 | /* Ensure signature uses DER and doesn't have trailing garbage */
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307 | derlen = i2d_ECDSA_SIG(s, &der);
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308 | if (derlen != sig_len || memcmp(sigbuf, der, derlen) != 0)
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309 | goto err;
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310 | ret = ECDSA_do_verify(dgst, dgst_len, s, eckey);
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311 | err:
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312 | OPENSSL_free(der);
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313 | ECDSA_SIG_free(s);
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314 | return ret;
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315 | }
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316 |
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317 | int ossl_ecdsa_verify_sig(const unsigned char *dgst, int dgst_len,
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318 | const ECDSA_SIG *sig, EC_KEY *eckey)
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319 | {
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320 | int ret = -1, i;
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321 | BN_CTX *ctx;
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322 | const BIGNUM *order;
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323 | BIGNUM *u1, *u2, *m, *X;
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324 | EC_POINT *point = NULL;
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325 | const EC_GROUP *group;
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326 | const EC_POINT *pub_key;
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327 |
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328 | /* check input values */
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329 | if (eckey == NULL || (group = EC_KEY_get0_group(eckey)) == NULL ||
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330 | (pub_key = EC_KEY_get0_public_key(eckey)) == NULL || sig == NULL) {
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331 | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, EC_R_MISSING_PARAMETERS);
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332 | return -1;
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333 | }
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334 |
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335 | if (!EC_KEY_can_sign(eckey)) {
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336 | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, EC_R_CURVE_DOES_NOT_SUPPORT_SIGNING);
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337 | return -1;
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338 | }
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339 |
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340 | ctx = BN_CTX_new();
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341 | if (ctx == NULL) {
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342 | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_MALLOC_FAILURE);
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343 | return -1;
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344 | }
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345 | BN_CTX_start(ctx);
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346 | u1 = BN_CTX_get(ctx);
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347 | u2 = BN_CTX_get(ctx);
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348 | m = BN_CTX_get(ctx);
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349 | X = BN_CTX_get(ctx);
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350 | if (X == NULL) {
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351 | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_BN_LIB);
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352 | goto err;
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353 | }
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354 |
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355 | order = EC_GROUP_get0_order(group);
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356 | if (order == NULL) {
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357 | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_EC_LIB);
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358 | goto err;
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359 | }
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360 |
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361 | if (BN_is_zero(sig->r) || BN_is_negative(sig->r) ||
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362 | BN_ucmp(sig->r, order) >= 0 || BN_is_zero(sig->s) ||
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363 | BN_is_negative(sig->s) || BN_ucmp(sig->s, order) >= 0) {
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364 | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, EC_R_BAD_SIGNATURE);
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365 | ret = 0; /* signature is invalid */
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366 | goto err;
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367 | }
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368 | /* calculate tmp1 = inv(S) mod order */
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369 | if (!ec_group_do_inverse_ord(group, u2, sig->s, ctx)) {
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370 | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_BN_LIB);
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371 | goto err;
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372 | }
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373 | /* digest -> m */
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374 | i = BN_num_bits(order);
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375 | /*
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376 | * Need to truncate digest if it is too long: first truncate whole bytes.
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377 | */
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378 | if (8 * dgst_len > i)
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379 | dgst_len = (i + 7) / 8;
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380 | if (!BN_bin2bn(dgst, dgst_len, m)) {
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381 | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_BN_LIB);
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382 | goto err;
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383 | }
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384 | /* If still too long truncate remaining bits with a shift */
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385 | if ((8 * dgst_len > i) && !BN_rshift(m, m, 8 - (i & 0x7))) {
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386 | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_BN_LIB);
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387 | goto err;
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388 | }
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389 | /* u1 = m * tmp mod order */
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390 | if (!BN_mod_mul(u1, m, u2, order, ctx)) {
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391 | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_BN_LIB);
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392 | goto err;
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393 | }
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394 | /* u2 = r * w mod q */
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395 | if (!BN_mod_mul(u2, sig->r, u2, order, ctx)) {
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396 | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_BN_LIB);
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397 | goto err;
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398 | }
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399 |
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400 | if ((point = EC_POINT_new(group)) == NULL) {
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401 | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_MALLOC_FAILURE);
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402 | goto err;
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403 | }
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404 | if (!EC_POINT_mul(group, point, u1, pub_key, u2, ctx)) {
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405 | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_EC_LIB);
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406 | goto err;
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407 | }
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408 |
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409 | if (!EC_POINT_get_affine_coordinates(group, point, X, NULL, ctx)) {
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410 | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_EC_LIB);
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411 | goto err;
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412 | }
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413 |
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414 | if (!BN_nnmod(u1, X, order, ctx)) {
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415 | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_BN_LIB);
|
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416 | goto err;
|
---|
417 | }
|
---|
418 | /* if the signature is correct u1 is equal to sig->r */
|
---|
419 | ret = (BN_ucmp(u1, sig->r) == 0);
|
---|
420 | err:
|
---|
421 | BN_CTX_end(ctx);
|
---|
422 | BN_CTX_free(ctx);
|
---|
423 | EC_POINT_free(point);
|
---|
424 | return ret;
|
---|
425 | }
|
---|