1 | /*
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2 | * Copyright 2011-2018 The OpenSSL Project Authors. All Rights Reserved.
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3 | * Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
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4 | *
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5 | * Licensed under the OpenSSL license (the "License"). You may not use
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6 | * this file except in compliance with the License. You can obtain a copy
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7 | * in the file LICENSE in the source distribution or at
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8 | * https://www.openssl.org/source/license.html
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9 | */
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10 |
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11 | #include <openssl/err.h>
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12 | #include <openssl/symhacks.h>
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13 |
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14 | #include "ec_local.h"
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15 |
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16 | int ec_GFp_simple_set_compressed_coordinates(const EC_GROUP *group,
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17 | EC_POINT *point,
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18 | const BIGNUM *x_, int y_bit,
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19 | BN_CTX *ctx)
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20 | {
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21 | BN_CTX *new_ctx = NULL;
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22 | BIGNUM *tmp1, *tmp2, *x, *y;
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23 | int ret = 0;
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24 |
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25 | /* clear error queue */
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26 | ERR_clear_error();
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27 |
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28 | if (ctx == NULL) {
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29 | ctx = new_ctx = BN_CTX_new();
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30 | if (ctx == NULL)
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31 | return 0;
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32 | }
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33 |
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34 | y_bit = (y_bit != 0);
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35 |
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36 | BN_CTX_start(ctx);
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37 | tmp1 = BN_CTX_get(ctx);
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38 | tmp2 = BN_CTX_get(ctx);
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39 | x = BN_CTX_get(ctx);
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40 | y = BN_CTX_get(ctx);
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41 | if (y == NULL)
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42 | goto err;
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43 |
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44 | /*-
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45 | * Recover y. We have a Weierstrass equation
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46 | * y^2 = x^3 + a*x + b,
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47 | * so y is one of the square roots of x^3 + a*x + b.
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48 | */
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49 |
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50 | /* tmp1 := x^3 */
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51 | if (!BN_nnmod(x, x_, group->field, ctx))
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52 | goto err;
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53 | if (group->meth->field_decode == 0) {
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54 | /* field_{sqr,mul} work on standard representation */
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55 | if (!group->meth->field_sqr(group, tmp2, x_, ctx))
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56 | goto err;
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57 | if (!group->meth->field_mul(group, tmp1, tmp2, x_, ctx))
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58 | goto err;
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59 | } else {
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60 | if (!BN_mod_sqr(tmp2, x_, group->field, ctx))
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61 | goto err;
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62 | if (!BN_mod_mul(tmp1, tmp2, x_, group->field, ctx))
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63 | goto err;
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64 | }
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65 |
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66 | /* tmp1 := tmp1 + a*x */
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67 | if (group->a_is_minus3) {
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68 | if (!BN_mod_lshift1_quick(tmp2, x, group->field))
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69 | goto err;
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70 | if (!BN_mod_add_quick(tmp2, tmp2, x, group->field))
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71 | goto err;
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72 | if (!BN_mod_sub_quick(tmp1, tmp1, tmp2, group->field))
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73 | goto err;
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74 | } else {
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75 | if (group->meth->field_decode) {
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76 | if (!group->meth->field_decode(group, tmp2, group->a, ctx))
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77 | goto err;
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78 | if (!BN_mod_mul(tmp2, tmp2, x, group->field, ctx))
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79 | goto err;
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80 | } else {
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81 | /* field_mul works on standard representation */
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82 | if (!group->meth->field_mul(group, tmp2, group->a, x, ctx))
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83 | goto err;
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84 | }
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85 |
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86 | if (!BN_mod_add_quick(tmp1, tmp1, tmp2, group->field))
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87 | goto err;
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88 | }
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89 |
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90 | /* tmp1 := tmp1 + b */
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91 | if (group->meth->field_decode) {
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92 | if (!group->meth->field_decode(group, tmp2, group->b, ctx))
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93 | goto err;
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94 | if (!BN_mod_add_quick(tmp1, tmp1, tmp2, group->field))
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95 | goto err;
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96 | } else {
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97 | if (!BN_mod_add_quick(tmp1, tmp1, group->b, group->field))
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98 | goto err;
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99 | }
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100 |
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101 | if (!BN_mod_sqrt(y, tmp1, group->field, ctx)) {
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102 | unsigned long err = ERR_peek_last_error();
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103 |
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104 | if (ERR_GET_LIB(err) == ERR_LIB_BN
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105 | && ERR_GET_REASON(err) == BN_R_NOT_A_SQUARE) {
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106 | ERR_clear_error();
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107 | ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES,
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108 | EC_R_INVALID_COMPRESSED_POINT);
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109 | } else
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110 | ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES,
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111 | ERR_R_BN_LIB);
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112 | goto err;
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113 | }
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114 |
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115 | if (y_bit != BN_is_odd(y)) {
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116 | if (BN_is_zero(y)) {
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117 | int kron;
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118 |
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119 | kron = BN_kronecker(x, group->field, ctx);
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120 | if (kron == -2)
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121 | goto err;
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122 |
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123 | if (kron == 1)
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124 | ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES,
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125 | EC_R_INVALID_COMPRESSION_BIT);
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126 | else
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127 | /*
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128 | * BN_mod_sqrt() should have caught this error (not a square)
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129 | */
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130 | ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES,
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131 | EC_R_INVALID_COMPRESSED_POINT);
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132 | goto err;
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133 | }
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134 | if (!BN_usub(y, group->field, y))
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135 | goto err;
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136 | }
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137 | if (y_bit != BN_is_odd(y)) {
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138 | ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES,
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139 | ERR_R_INTERNAL_ERROR);
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140 | goto err;
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141 | }
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142 |
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143 | if (!EC_POINT_set_affine_coordinates(group, point, x, y, ctx))
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144 | goto err;
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145 |
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146 | ret = 1;
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147 |
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148 | err:
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149 | BN_CTX_end(ctx);
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150 | BN_CTX_free(new_ctx);
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151 | return ret;
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152 | }
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153 |
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154 | size_t ec_GFp_simple_point2oct(const EC_GROUP *group, const EC_POINT *point,
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155 | point_conversion_form_t form,
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156 | unsigned char *buf, size_t len, BN_CTX *ctx)
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157 | {
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158 | size_t ret;
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159 | BN_CTX *new_ctx = NULL;
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160 | int used_ctx = 0;
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161 | BIGNUM *x, *y;
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162 | size_t field_len, i, skip;
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163 |
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164 | if ((form != POINT_CONVERSION_COMPRESSED)
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165 | && (form != POINT_CONVERSION_UNCOMPRESSED)
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166 | && (form != POINT_CONVERSION_HYBRID)) {
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167 | ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, EC_R_INVALID_FORM);
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168 | goto err;
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169 | }
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170 |
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171 | if (EC_POINT_is_at_infinity(group, point)) {
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172 | /* encodes to a single 0 octet */
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173 | if (buf != NULL) {
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174 | if (len < 1) {
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175 | ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, EC_R_BUFFER_TOO_SMALL);
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176 | return 0;
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177 | }
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178 | buf[0] = 0;
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179 | }
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180 | return 1;
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181 | }
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182 |
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183 | /* ret := required output buffer length */
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184 | field_len = BN_num_bytes(group->field);
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185 | ret =
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186 | (form ==
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187 | POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2 * field_len;
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188 |
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189 | /* if 'buf' is NULL, just return required length */
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190 | if (buf != NULL) {
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191 | if (len < ret) {
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192 | ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, EC_R_BUFFER_TOO_SMALL);
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193 | goto err;
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194 | }
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195 |
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196 | if (ctx == NULL) {
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197 | ctx = new_ctx = BN_CTX_new();
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198 | if (ctx == NULL)
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199 | return 0;
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200 | }
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201 |
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202 | BN_CTX_start(ctx);
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203 | used_ctx = 1;
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204 | x = BN_CTX_get(ctx);
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205 | y = BN_CTX_get(ctx);
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206 | if (y == NULL)
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207 | goto err;
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208 |
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209 | if (!EC_POINT_get_affine_coordinates(group, point, x, y, ctx))
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210 | goto err;
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211 |
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212 | if ((form == POINT_CONVERSION_COMPRESSED
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213 | || form == POINT_CONVERSION_HYBRID) && BN_is_odd(y))
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214 | buf[0] = form + 1;
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215 | else
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216 | buf[0] = form;
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217 |
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218 | i = 1;
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219 |
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220 | skip = field_len - BN_num_bytes(x);
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221 | if (skip > field_len) {
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222 | ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);
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223 | goto err;
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224 | }
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225 | while (skip > 0) {
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226 | buf[i++] = 0;
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227 | skip--;
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228 | }
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229 | skip = BN_bn2bin(x, buf + i);
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230 | i += skip;
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231 | if (i != 1 + field_len) {
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232 | ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);
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233 | goto err;
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234 | }
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235 |
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236 | if (form == POINT_CONVERSION_UNCOMPRESSED
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237 | || form == POINT_CONVERSION_HYBRID) {
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238 | skip = field_len - BN_num_bytes(y);
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239 | if (skip > field_len) {
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240 | ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);
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241 | goto err;
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242 | }
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243 | while (skip > 0) {
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244 | buf[i++] = 0;
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245 | skip--;
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246 | }
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247 | skip = BN_bn2bin(y, buf + i);
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248 | i += skip;
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249 | }
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250 |
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251 | if (i != ret) {
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252 | ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);
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253 | goto err;
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254 | }
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255 | }
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256 |
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257 | if (used_ctx)
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258 | BN_CTX_end(ctx);
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259 | BN_CTX_free(new_ctx);
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260 | return ret;
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261 |
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262 | err:
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263 | if (used_ctx)
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264 | BN_CTX_end(ctx);
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265 | BN_CTX_free(new_ctx);
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266 | return 0;
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267 | }
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268 |
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269 | int ec_GFp_simple_oct2point(const EC_GROUP *group, EC_POINT *point,
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270 | const unsigned char *buf, size_t len, BN_CTX *ctx)
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271 | {
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272 | point_conversion_form_t form;
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273 | int y_bit;
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274 | BN_CTX *new_ctx = NULL;
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275 | BIGNUM *x, *y;
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276 | size_t field_len, enc_len;
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277 | int ret = 0;
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278 |
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279 | if (len == 0) {
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280 | ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_BUFFER_TOO_SMALL);
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281 | return 0;
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282 | }
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283 | form = buf[0];
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284 | y_bit = form & 1;
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285 | form = form & ~1U;
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286 | if ((form != 0) && (form != POINT_CONVERSION_COMPRESSED)
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287 | && (form != POINT_CONVERSION_UNCOMPRESSED)
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288 | && (form != POINT_CONVERSION_HYBRID)) {
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289 | ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
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290 | return 0;
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291 | }
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292 | if ((form == 0 || form == POINT_CONVERSION_UNCOMPRESSED) && y_bit) {
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293 | ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
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294 | return 0;
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295 | }
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296 |
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297 | if (form == 0) {
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298 | if (len != 1) {
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299 | ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
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300 | return 0;
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301 | }
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302 |
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303 | return EC_POINT_set_to_infinity(group, point);
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304 | }
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305 |
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306 | field_len = BN_num_bytes(group->field);
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307 | enc_len =
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308 | (form ==
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309 | POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2 * field_len;
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310 |
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311 | if (len != enc_len) {
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312 | ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
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313 | return 0;
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314 | }
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315 |
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316 | if (ctx == NULL) {
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317 | ctx = new_ctx = BN_CTX_new();
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318 | if (ctx == NULL)
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319 | return 0;
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320 | }
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321 |
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322 | BN_CTX_start(ctx);
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323 | x = BN_CTX_get(ctx);
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324 | y = BN_CTX_get(ctx);
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325 | if (y == NULL)
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326 | goto err;
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327 |
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328 | if (!BN_bin2bn(buf + 1, field_len, x))
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329 | goto err;
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330 | if (BN_ucmp(x, group->field) >= 0) {
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331 | ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
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332 | goto err;
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333 | }
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334 |
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335 | if (form == POINT_CONVERSION_COMPRESSED) {
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336 | if (!EC_POINT_set_compressed_coordinates(group, point, x, y_bit, ctx))
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337 | goto err;
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338 | } else {
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339 | if (!BN_bin2bn(buf + 1 + field_len, field_len, y))
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340 | goto err;
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341 | if (BN_ucmp(y, group->field) >= 0) {
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342 | ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
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343 | goto err;
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344 | }
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345 | if (form == POINT_CONVERSION_HYBRID) {
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346 | if (y_bit != BN_is_odd(y)) {
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347 | ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
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348 | goto err;
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349 | }
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350 | }
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351 |
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352 | /*
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353 | * EC_POINT_set_affine_coordinates is responsible for checking that
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354 | * the point is on the curve.
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355 | */
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356 | if (!EC_POINT_set_affine_coordinates(group, point, x, y, ctx))
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357 | goto err;
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358 | }
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359 |
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360 | ret = 1;
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361 |
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362 | err:
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363 | BN_CTX_end(ctx);
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364 | BN_CTX_free(new_ctx);
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365 | return ret;
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366 | }
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