Mercurial > trustbridge > nss-cmake-static
annotate nss/lib/freebl/ecl/ecp_aff.c @ 1:247cffdc9b89
Add a pesodo config file for inlcude directories and library names
author | Andre Heinecke <andre.heinecke@intevation.de> |
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date | Mon, 28 Jul 2014 13:00:06 +0200 |
parents | 1e5118fa0cb1 |
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rev | line source |
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0
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1 /* This Source Code Form is subject to the terms of the Mozilla Public |
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2 * License, v. 2.0. If a copy of the MPL was not distributed with this |
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3 * file, You can obtain one at http://mozilla.org/MPL/2.0/. */ |
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4 |
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5 #include "ecp.h" |
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6 #include "mplogic.h" |
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7 #include <stdlib.h> |
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8 |
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9 /* Checks if point P(px, py) is at infinity. Uses affine coordinates. */ |
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10 mp_err |
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11 ec_GFp_pt_is_inf_aff(const mp_int *px, const mp_int *py) |
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12 { |
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13 |
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14 if ((mp_cmp_z(px) == 0) && (mp_cmp_z(py) == 0)) { |
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15 return MP_YES; |
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16 } else { |
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17 return MP_NO; |
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18 } |
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19 |
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20 } |
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21 |
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22 /* Sets P(px, py) to be the point at infinity. Uses affine coordinates. */ |
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23 mp_err |
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24 ec_GFp_pt_set_inf_aff(mp_int *px, mp_int *py) |
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25 { |
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26 mp_zero(px); |
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27 mp_zero(py); |
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28 return MP_OKAY; |
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29 } |
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30 |
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31 /* Computes R = P + Q based on IEEE P1363 A.10.1. Elliptic curve points P, |
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32 * Q, and R can all be identical. Uses affine coordinates. Assumes input |
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33 * is already field-encoded using field_enc, and returns output that is |
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34 * still field-encoded. */ |
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35 mp_err |
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36 ec_GFp_pt_add_aff(const mp_int *px, const mp_int *py, const mp_int *qx, |
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37 const mp_int *qy, mp_int *rx, mp_int *ry, |
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38 const ECGroup *group) |
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39 { |
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40 mp_err res = MP_OKAY; |
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41 mp_int lambda, temp, tempx, tempy; |
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42 |
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43 MP_DIGITS(&lambda) = 0; |
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44 MP_DIGITS(&temp) = 0; |
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45 MP_DIGITS(&tempx) = 0; |
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46 MP_DIGITS(&tempy) = 0; |
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47 MP_CHECKOK(mp_init(&lambda)); |
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48 MP_CHECKOK(mp_init(&temp)); |
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49 MP_CHECKOK(mp_init(&tempx)); |
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50 MP_CHECKOK(mp_init(&tempy)); |
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51 /* if P = inf, then R = Q */ |
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52 if (ec_GFp_pt_is_inf_aff(px, py) == 0) { |
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53 MP_CHECKOK(mp_copy(qx, rx)); |
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54 MP_CHECKOK(mp_copy(qy, ry)); |
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55 res = MP_OKAY; |
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56 goto CLEANUP; |
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57 } |
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58 /* if Q = inf, then R = P */ |
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59 if (ec_GFp_pt_is_inf_aff(qx, qy) == 0) { |
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60 MP_CHECKOK(mp_copy(px, rx)); |
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61 MP_CHECKOK(mp_copy(py, ry)); |
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62 res = MP_OKAY; |
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63 goto CLEANUP; |
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64 } |
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65 /* if px != qx, then lambda = (py-qy) / (px-qx) */ |
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66 if (mp_cmp(px, qx) != 0) { |
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67 MP_CHECKOK(group->meth->field_sub(py, qy, &tempy, group->meth)); |
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68 MP_CHECKOK(group->meth->field_sub(px, qx, &tempx, group->meth)); |
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69 MP_CHECKOK(group->meth-> |
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70 field_div(&tempy, &tempx, &lambda, group->meth)); |
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71 } else { |
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72 /* if py != qy or qy = 0, then R = inf */ |
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73 if (((mp_cmp(py, qy) != 0)) || (mp_cmp_z(qy) == 0)) { |
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74 mp_zero(rx); |
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75 mp_zero(ry); |
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76 res = MP_OKAY; |
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77 goto CLEANUP; |
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78 } |
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79 /* lambda = (3qx^2+a) / (2qy) */ |
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80 MP_CHECKOK(group->meth->field_sqr(qx, &tempx, group->meth)); |
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81 MP_CHECKOK(mp_set_int(&temp, 3)); |
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82 if (group->meth->field_enc) { |
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83 MP_CHECKOK(group->meth->field_enc(&temp, &temp, group->meth)); |
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84 } |
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85 MP_CHECKOK(group->meth-> |
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86 field_mul(&tempx, &temp, &tempx, group->meth)); |
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87 MP_CHECKOK(group->meth-> |
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88 field_add(&tempx, &group->curvea, &tempx, group->meth)); |
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89 MP_CHECKOK(mp_set_int(&temp, 2)); |
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90 if (group->meth->field_enc) { |
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91 MP_CHECKOK(group->meth->field_enc(&temp, &temp, group->meth)); |
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92 } |
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93 MP_CHECKOK(group->meth->field_mul(qy, &temp, &tempy, group->meth)); |
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94 MP_CHECKOK(group->meth-> |
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95 field_div(&tempx, &tempy, &lambda, group->meth)); |
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96 } |
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97 /* rx = lambda^2 - px - qx */ |
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98 MP_CHECKOK(group->meth->field_sqr(&lambda, &tempx, group->meth)); |
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99 MP_CHECKOK(group->meth->field_sub(&tempx, px, &tempx, group->meth)); |
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100 MP_CHECKOK(group->meth->field_sub(&tempx, qx, &tempx, group->meth)); |
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101 /* ry = (x1-x2) * lambda - y1 */ |
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102 MP_CHECKOK(group->meth->field_sub(qx, &tempx, &tempy, group->meth)); |
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103 MP_CHECKOK(group->meth-> |
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104 field_mul(&tempy, &lambda, &tempy, group->meth)); |
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105 MP_CHECKOK(group->meth->field_sub(&tempy, qy, &tempy, group->meth)); |
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106 MP_CHECKOK(mp_copy(&tempx, rx)); |
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107 MP_CHECKOK(mp_copy(&tempy, ry)); |
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108 |
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109 CLEANUP: |
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110 mp_clear(&lambda); |
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111 mp_clear(&temp); |
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112 mp_clear(&tempx); |
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113 mp_clear(&tempy); |
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114 return res; |
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115 } |
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116 |
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117 /* Computes R = P - Q. Elliptic curve points P, Q, and R can all be |
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118 * identical. Uses affine coordinates. Assumes input is already |
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119 * field-encoded using field_enc, and returns output that is still |
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120 * field-encoded. */ |
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121 mp_err |
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122 ec_GFp_pt_sub_aff(const mp_int *px, const mp_int *py, const mp_int *qx, |
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123 const mp_int *qy, mp_int *rx, mp_int *ry, |
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124 const ECGroup *group) |
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125 { |
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126 mp_err res = MP_OKAY; |
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127 mp_int nqy; |
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128 |
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129 MP_DIGITS(&nqy) = 0; |
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130 MP_CHECKOK(mp_init(&nqy)); |
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131 /* nqy = -qy */ |
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132 MP_CHECKOK(group->meth->field_neg(qy, &nqy, group->meth)); |
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133 res = group->point_add(px, py, qx, &nqy, rx, ry, group); |
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134 CLEANUP: |
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135 mp_clear(&nqy); |
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136 return res; |
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137 } |
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138 |
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139 /* Computes R = 2P. Elliptic curve points P and R can be identical. Uses |
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140 * affine coordinates. Assumes input is already field-encoded using |
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141 * field_enc, and returns output that is still field-encoded. */ |
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142 mp_err |
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143 ec_GFp_pt_dbl_aff(const mp_int *px, const mp_int *py, mp_int *rx, |
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144 mp_int *ry, const ECGroup *group) |
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145 { |
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146 return ec_GFp_pt_add_aff(px, py, px, py, rx, ry, group); |
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147 } |
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148 |
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149 /* by default, this routine is unused and thus doesn't need to be compiled */ |
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150 #ifdef ECL_ENABLE_GFP_PT_MUL_AFF |
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151 /* Computes R = nP based on IEEE P1363 A.10.3. Elliptic curve points P and |
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152 * R can be identical. Uses affine coordinates. Assumes input is already |
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153 * field-encoded using field_enc, and returns output that is still |
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154 * field-encoded. */ |
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155 mp_err |
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156 ec_GFp_pt_mul_aff(const mp_int *n, const mp_int *px, const mp_int *py, |
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157 mp_int *rx, mp_int *ry, const ECGroup *group) |
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158 { |
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159 mp_err res = MP_OKAY; |
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160 mp_int k, k3, qx, qy, sx, sy; |
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161 int b1, b3, i, l; |
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162 |
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163 MP_DIGITS(&k) = 0; |
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164 MP_DIGITS(&k3) = 0; |
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165 MP_DIGITS(&qx) = 0; |
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166 MP_DIGITS(&qy) = 0; |
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167 MP_DIGITS(&sx) = 0; |
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168 MP_DIGITS(&sy) = 0; |
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169 MP_CHECKOK(mp_init(&k)); |
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170 MP_CHECKOK(mp_init(&k3)); |
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171 MP_CHECKOK(mp_init(&qx)); |
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172 MP_CHECKOK(mp_init(&qy)); |
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173 MP_CHECKOK(mp_init(&sx)); |
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174 MP_CHECKOK(mp_init(&sy)); |
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175 |
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176 /* if n = 0 then r = inf */ |
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177 if (mp_cmp_z(n) == 0) { |
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178 mp_zero(rx); |
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179 mp_zero(ry); |
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180 res = MP_OKAY; |
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181 goto CLEANUP; |
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182 } |
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183 /* Q = P, k = n */ |
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184 MP_CHECKOK(mp_copy(px, &qx)); |
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185 MP_CHECKOK(mp_copy(py, &qy)); |
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186 MP_CHECKOK(mp_copy(n, &k)); |
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187 /* if n < 0 then Q = -Q, k = -k */ |
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188 if (mp_cmp_z(n) < 0) { |
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189 MP_CHECKOK(group->meth->field_neg(&qy, &qy, group->meth)); |
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190 MP_CHECKOK(mp_neg(&k, &k)); |
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191 } |
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192 #ifdef ECL_DEBUG /* basic double and add method */ |
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193 l = mpl_significant_bits(&k) - 1; |
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194 MP_CHECKOK(mp_copy(&qx, &sx)); |
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195 MP_CHECKOK(mp_copy(&qy, &sy)); |
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196 for (i = l - 1; i >= 0; i--) { |
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197 /* S = 2S */ |
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198 MP_CHECKOK(group->point_dbl(&sx, &sy, &sx, &sy, group)); |
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199 /* if k_i = 1, then S = S + Q */ |
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200 if (mpl_get_bit(&k, i) != 0) { |
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201 MP_CHECKOK(group-> |
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202 point_add(&sx, &sy, &qx, &qy, &sx, &sy, group)); |
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203 } |
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204 } |
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205 #else /* double and add/subtract method from |
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206 * standard */ |
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207 /* k3 = 3 * k */ |
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208 MP_CHECKOK(mp_set_int(&k3, 3)); |
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209 MP_CHECKOK(mp_mul(&k, &k3, &k3)); |
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210 /* S = Q */ |
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211 MP_CHECKOK(mp_copy(&qx, &sx)); |
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212 MP_CHECKOK(mp_copy(&qy, &sy)); |
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213 /* l = index of high order bit in binary representation of 3*k */ |
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214 l = mpl_significant_bits(&k3) - 1; |
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215 /* for i = l-1 downto 1 */ |
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216 for (i = l - 1; i >= 1; i--) { |
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217 /* S = 2S */ |
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218 MP_CHECKOK(group->point_dbl(&sx, &sy, &sx, &sy, group)); |
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219 b3 = MP_GET_BIT(&k3, i); |
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220 b1 = MP_GET_BIT(&k, i); |
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221 /* if k3_i = 1 and k_i = 0, then S = S + Q */ |
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222 if ((b3 == 1) && (b1 == 0)) { |
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223 MP_CHECKOK(group-> |
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224 point_add(&sx, &sy, &qx, &qy, &sx, &sy, group)); |
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225 /* if k3_i = 0 and k_i = 1, then S = S - Q */ |
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226 } else if ((b3 == 0) && (b1 == 1)) { |
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227 MP_CHECKOK(group-> |
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228 point_sub(&sx, &sy, &qx, &qy, &sx, &sy, group)); |
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229 } |
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230 } |
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231 #endif |
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232 /* output S */ |
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233 MP_CHECKOK(mp_copy(&sx, rx)); |
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234 MP_CHECKOK(mp_copy(&sy, ry)); |
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235 |
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236 CLEANUP: |
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237 mp_clear(&k); |
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238 mp_clear(&k3); |
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239 mp_clear(&qx); |
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240 mp_clear(&qy); |
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241 mp_clear(&sx); |
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242 mp_clear(&sy); |
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243 return res; |
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244 } |
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245 #endif |
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246 |
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247 /* Validates a point on a GFp curve. */ |
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248 mp_err |
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249 ec_GFp_validate_point(const mp_int *px, const mp_int *py, const ECGroup *group) |
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250 { |
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251 mp_err res = MP_NO; |
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252 mp_int accl, accr, tmp, pxt, pyt; |
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253 |
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254 MP_DIGITS(&accl) = 0; |
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255 MP_DIGITS(&accr) = 0; |
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256 MP_DIGITS(&tmp) = 0; |
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257 MP_DIGITS(&pxt) = 0; |
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258 MP_DIGITS(&pyt) = 0; |
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259 MP_CHECKOK(mp_init(&accl)); |
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260 MP_CHECKOK(mp_init(&accr)); |
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261 MP_CHECKOK(mp_init(&tmp)); |
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262 MP_CHECKOK(mp_init(&pxt)); |
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263 MP_CHECKOK(mp_init(&pyt)); |
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264 |
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265 /* 1: Verify that publicValue is not the point at infinity */ |
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266 if (ec_GFp_pt_is_inf_aff(px, py) == MP_YES) { |
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267 res = MP_NO; |
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268 goto CLEANUP; |
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269 } |
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270 /* 2: Verify that the coordinates of publicValue are elements |
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271 * of the field. |
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272 */ |
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273 if ((MP_SIGN(px) == MP_NEG) || (mp_cmp(px, &group->meth->irr) >= 0) || |
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274 (MP_SIGN(py) == MP_NEG) || (mp_cmp(py, &group->meth->irr) >= 0)) { |
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275 res = MP_NO; |
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276 goto CLEANUP; |
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277 } |
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278 /* 3: Verify that publicValue is on the curve. */ |
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279 if (group->meth->field_enc) { |
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280 group->meth->field_enc(px, &pxt, group->meth); |
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281 group->meth->field_enc(py, &pyt, group->meth); |
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282 } else { |
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283 mp_copy(px, &pxt); |
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284 mp_copy(py, &pyt); |
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285 } |
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286 /* left-hand side: y^2 */ |
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287 MP_CHECKOK( group->meth->field_sqr(&pyt, &accl, group->meth) ); |
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288 /* right-hand side: x^3 + a*x + b = (x^2 + a)*x + b by Horner's rule */ |
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289 MP_CHECKOK( group->meth->field_sqr(&pxt, &tmp, group->meth) ); |
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290 MP_CHECKOK( group->meth->field_add(&tmp, &group->curvea, &tmp, group->meth) ); |
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291 MP_CHECKOK( group->meth->field_mul(&tmp, &pxt, &accr, group->meth) ); |
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292 MP_CHECKOK( group->meth->field_add(&accr, &group->curveb, &accr, group->meth) ); |
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293 /* check LHS - RHS == 0 */ |
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294 MP_CHECKOK( group->meth->field_sub(&accl, &accr, &accr, group->meth) ); |
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295 if (mp_cmp_z(&accr) != 0) { |
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296 res = MP_NO; |
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297 goto CLEANUP; |
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298 } |
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299 /* 4: Verify that the order of the curve times the publicValue |
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300 * is the point at infinity. |
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301 */ |
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302 MP_CHECKOK( ECPoint_mul(group, &group->order, px, py, &pxt, &pyt) ); |
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303 if (ec_GFp_pt_is_inf_aff(&pxt, &pyt) != MP_YES) { |
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304 res = MP_NO; |
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305 goto CLEANUP; |
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306 } |
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307 |
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308 res = MP_YES; |
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309 |
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310 CLEANUP: |
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311 mp_clear(&accl); |
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312 mp_clear(&accr); |
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313 mp_clear(&tmp); |
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314 mp_clear(&pxt); |
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315 mp_clear(&pyt); |
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316 return res; |
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317 } |