Mercurial > trustbridge > nss-cmake-static
annotate nss/lib/freebl/mpi/mp_gf2m.c @ 4:b513267f632f tip
Build DBM module
author | Andre Heinecke <andre.heinecke@intevation.de> |
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date | Tue, 05 Aug 2014 18:58:03 +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 "mp_gf2m.h" |
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6 #include "mp_gf2m-priv.h" |
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7 #include "mplogic.h" |
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8 #include "mpi-priv.h" |
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9 |
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10 const mp_digit mp_gf2m_sqr_tb[16] = |
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11 { |
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12 0, 1, 4, 5, 16, 17, 20, 21, |
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13 64, 65, 68, 69, 80, 81, 84, 85 |
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14 }; |
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15 |
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16 /* Multiply two binary polynomials mp_digits a, b. |
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17 * Result is a polynomial with degree < 2 * MP_DIGIT_BITS - 1. |
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18 * Output in two mp_digits rh, rl. |
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19 */ |
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20 #if MP_DIGIT_BITS == 32 |
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21 void |
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22 s_bmul_1x1(mp_digit *rh, mp_digit *rl, const mp_digit a, const mp_digit b) |
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23 { |
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24 register mp_digit h, l, s; |
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25 mp_digit tab[8], top2b = a >> 30; |
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26 register mp_digit a1, a2, a4; |
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27 |
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28 a1 = a & (0x3FFFFFFF); a2 = a1 << 1; a4 = a2 << 1; |
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29 |
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30 tab[0] = 0; tab[1] = a1; tab[2] = a2; tab[3] = a1^a2; |
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31 tab[4] = a4; tab[5] = a1^a4; tab[6] = a2^a4; tab[7] = a1^a2^a4; |
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32 |
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33 s = tab[b & 0x7]; l = s; |
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34 s = tab[b >> 3 & 0x7]; l ^= s << 3; h = s >> 29; |
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35 s = tab[b >> 6 & 0x7]; l ^= s << 6; h ^= s >> 26; |
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36 s = tab[b >> 9 & 0x7]; l ^= s << 9; h ^= s >> 23; |
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37 s = tab[b >> 12 & 0x7]; l ^= s << 12; h ^= s >> 20; |
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38 s = tab[b >> 15 & 0x7]; l ^= s << 15; h ^= s >> 17; |
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39 s = tab[b >> 18 & 0x7]; l ^= s << 18; h ^= s >> 14; |
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40 s = tab[b >> 21 & 0x7]; l ^= s << 21; h ^= s >> 11; |
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41 s = tab[b >> 24 & 0x7]; l ^= s << 24; h ^= s >> 8; |
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42 s = tab[b >> 27 & 0x7]; l ^= s << 27; h ^= s >> 5; |
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43 s = tab[b >> 30 ]; l ^= s << 30; h ^= s >> 2; |
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44 |
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45 /* compensate for the top two bits of a */ |
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46 |
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47 if (top2b & 01) { l ^= b << 30; h ^= b >> 2; } |
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48 if (top2b & 02) { l ^= b << 31; h ^= b >> 1; } |
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49 |
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50 *rh = h; *rl = l; |
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51 } |
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52 #else |
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53 void |
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54 s_bmul_1x1(mp_digit *rh, mp_digit *rl, const mp_digit a, const mp_digit b) |
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55 { |
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56 register mp_digit h, l, s; |
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57 mp_digit tab[16], top3b = a >> 61; |
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58 register mp_digit a1, a2, a4, a8; |
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59 |
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60 a1 = a & (0x1FFFFFFFFFFFFFFFULL); a2 = a1 << 1; |
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61 a4 = a2 << 1; a8 = a4 << 1; |
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62 tab[ 0] = 0; tab[ 1] = a1; tab[ 2] = a2; tab[ 3] = a1^a2; |
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63 tab[ 4] = a4; tab[ 5] = a1^a4; tab[ 6] = a2^a4; tab[ 7] = a1^a2^a4; |
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64 tab[ 8] = a8; tab[ 9] = a1^a8; tab[10] = a2^a8; tab[11] = a1^a2^a8; |
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65 tab[12] = a4^a8; tab[13] = a1^a4^a8; tab[14] = a2^a4^a8; tab[15] = a1^a2^a4^a8; |
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66 |
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67 s = tab[b & 0xF]; l = s; |
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68 s = tab[b >> 4 & 0xF]; l ^= s << 4; h = s >> 60; |
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69 s = tab[b >> 8 & 0xF]; l ^= s << 8; h ^= s >> 56; |
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70 s = tab[b >> 12 & 0xF]; l ^= s << 12; h ^= s >> 52; |
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71 s = tab[b >> 16 & 0xF]; l ^= s << 16; h ^= s >> 48; |
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72 s = tab[b >> 20 & 0xF]; l ^= s << 20; h ^= s >> 44; |
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73 s = tab[b >> 24 & 0xF]; l ^= s << 24; h ^= s >> 40; |
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74 s = tab[b >> 28 & 0xF]; l ^= s << 28; h ^= s >> 36; |
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75 s = tab[b >> 32 & 0xF]; l ^= s << 32; h ^= s >> 32; |
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76 s = tab[b >> 36 & 0xF]; l ^= s << 36; h ^= s >> 28; |
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77 s = tab[b >> 40 & 0xF]; l ^= s << 40; h ^= s >> 24; |
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78 s = tab[b >> 44 & 0xF]; l ^= s << 44; h ^= s >> 20; |
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79 s = tab[b >> 48 & 0xF]; l ^= s << 48; h ^= s >> 16; |
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80 s = tab[b >> 52 & 0xF]; l ^= s << 52; h ^= s >> 12; |
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81 s = tab[b >> 56 & 0xF]; l ^= s << 56; h ^= s >> 8; |
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82 s = tab[b >> 60 ]; l ^= s << 60; h ^= s >> 4; |
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83 |
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84 /* compensate for the top three bits of a */ |
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85 |
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86 if (top3b & 01) { l ^= b << 61; h ^= b >> 3; } |
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87 if (top3b & 02) { l ^= b << 62; h ^= b >> 2; } |
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88 if (top3b & 04) { l ^= b << 63; h ^= b >> 1; } |
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89 |
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90 *rh = h; *rl = l; |
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91 } |
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92 #endif |
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93 |
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94 /* Compute xor-multiply of two binary polynomials (a1, a0) x (b1, b0) |
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95 * result is a binary polynomial in 4 mp_digits r[4]. |
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96 * The caller MUST ensure that r has the right amount of space allocated. |
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97 */ |
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98 void |
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99 s_bmul_2x2(mp_digit *r, const mp_digit a1, const mp_digit a0, const mp_digit b1, |
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100 const mp_digit b0) |
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101 { |
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102 mp_digit m1, m0; |
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103 /* r[3] = h1, r[2] = h0; r[1] = l1; r[0] = l0 */ |
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104 s_bmul_1x1(r+3, r+2, a1, b1); |
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105 s_bmul_1x1(r+1, r, a0, b0); |
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106 s_bmul_1x1(&m1, &m0, a0 ^ a1, b0 ^ b1); |
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107 /* Correction on m1 ^= l1 ^ h1; m0 ^= l0 ^ h0; */ |
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108 r[2] ^= m1 ^ r[1] ^ r[3]; /* h0 ^= m1 ^ l1 ^ h1; */ |
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109 r[1] = r[3] ^ r[2] ^ r[0] ^ m1 ^ m0; /* l1 ^= l0 ^ h0 ^ m0; */ |
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110 } |
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111 |
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112 /* Compute xor-multiply of two binary polynomials (a2, a1, a0) x (b2, b1, b0) |
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113 * result is a binary polynomial in 6 mp_digits r[6]. |
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114 * The caller MUST ensure that r has the right amount of space allocated. |
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115 */ |
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116 void |
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117 s_bmul_3x3(mp_digit *r, const mp_digit a2, const mp_digit a1, const mp_digit a0, |
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118 const mp_digit b2, const mp_digit b1, const mp_digit b0) |
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119 { |
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120 mp_digit zm[4]; |
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121 |
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122 s_bmul_1x1(r+5, r+4, a2, b2); /* fill top 2 words */ |
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123 s_bmul_2x2(zm, a1, a2^a0, b1, b2^b0); /* fill middle 4 words */ |
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124 s_bmul_2x2(r, a1, a0, b1, b0); /* fill bottom 4 words */ |
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125 |
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126 zm[3] ^= r[3]; |
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127 zm[2] ^= r[2]; |
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128 zm[1] ^= r[1] ^ r[5]; |
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129 zm[0] ^= r[0] ^ r[4]; |
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130 |
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131 r[5] ^= zm[3]; |
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132 r[4] ^= zm[2]; |
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133 r[3] ^= zm[1]; |
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134 r[2] ^= zm[0]; |
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135 } |
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136 |
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137 /* Compute xor-multiply of two binary polynomials (a3, a2, a1, a0) x (b3, b2, b1, b0) |
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138 * result is a binary polynomial in 8 mp_digits r[8]. |
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139 * The caller MUST ensure that r has the right amount of space allocated. |
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140 */ |
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141 void s_bmul_4x4(mp_digit *r, const mp_digit a3, const mp_digit a2, const mp_digit a1, |
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142 const mp_digit a0, const mp_digit b3, const mp_digit b2, const mp_digit b1, |
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143 const mp_digit b0) |
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144 { |
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145 mp_digit zm[4]; |
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146 |
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147 s_bmul_2x2(r+4, a3, a2, b3, b2); /* fill top 4 words */ |
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148 s_bmul_2x2(zm, a3^a1, a2^a0, b3^b1, b2^b0); /* fill middle 4 words */ |
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149 s_bmul_2x2(r, a1, a0, b1, b0); /* fill bottom 4 words */ |
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150 |
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151 zm[3] ^= r[3] ^ r[7]; |
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152 zm[2] ^= r[2] ^ r[6]; |
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153 zm[1] ^= r[1] ^ r[5]; |
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154 zm[0] ^= r[0] ^ r[4]; |
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155 |
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156 r[5] ^= zm[3]; |
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157 r[4] ^= zm[2]; |
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158 r[3] ^= zm[1]; |
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159 r[2] ^= zm[0]; |
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160 } |
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161 |
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162 /* Compute addition of two binary polynomials a and b, |
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163 * store result in c; c could be a or b, a and b could be equal; |
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164 * c is the bitwise XOR of a and b. |
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165 */ |
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166 mp_err |
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167 mp_badd(const mp_int *a, const mp_int *b, mp_int *c) |
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168 { |
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169 mp_digit *pa, *pb, *pc; |
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170 mp_size ix; |
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171 mp_size used_pa, used_pb; |
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172 mp_err res = MP_OKAY; |
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173 |
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174 /* Add all digits up to the precision of b. If b had more |
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175 * precision than a initially, swap a, b first |
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176 */ |
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177 if (MP_USED(a) >= MP_USED(b)) { |
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178 pa = MP_DIGITS(a); |
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179 pb = MP_DIGITS(b); |
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180 used_pa = MP_USED(a); |
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181 used_pb = MP_USED(b); |
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182 } else { |
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183 pa = MP_DIGITS(b); |
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184 pb = MP_DIGITS(a); |
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185 used_pa = MP_USED(b); |
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186 used_pb = MP_USED(a); |
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187 } |
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188 |
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189 /* Make sure c has enough precision for the output value */ |
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190 MP_CHECKOK( s_mp_pad(c, used_pa) ); |
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191 |
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192 /* Do word-by-word xor */ |
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193 pc = MP_DIGITS(c); |
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194 for (ix = 0; ix < used_pb; ix++) { |
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195 (*pc++) = (*pa++) ^ (*pb++); |
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196 } |
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197 |
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198 /* Finish the rest of digits until we're actually done */ |
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199 for (; ix < used_pa; ++ix) { |
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200 *pc++ = *pa++; |
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201 } |
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202 |
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203 MP_USED(c) = used_pa; |
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204 MP_SIGN(c) = ZPOS; |
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205 s_mp_clamp(c); |
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206 |
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207 CLEANUP: |
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208 return res; |
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209 } |
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210 |
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211 #define s_mp_div2(a) MP_CHECKOK( mpl_rsh((a), (a), 1) ); |
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212 |
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213 /* Compute binary polynomial multiply d = a * b */ |
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214 static void |
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215 s_bmul_d(const mp_digit *a, mp_size a_len, mp_digit b, mp_digit *d) |
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216 { |
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217 mp_digit a_i, a0b0, a1b1, carry = 0; |
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218 while (a_len--) { |
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219 a_i = *a++; |
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220 s_bmul_1x1(&a1b1, &a0b0, a_i, b); |
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221 *d++ = a0b0 ^ carry; |
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222 carry = a1b1; |
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223 } |
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224 *d = carry; |
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225 } |
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226 |
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227 /* Compute binary polynomial xor multiply accumulate d ^= a * b */ |
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228 static void |
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229 s_bmul_d_add(const mp_digit *a, mp_size a_len, mp_digit b, mp_digit *d) |
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230 { |
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231 mp_digit a_i, a0b0, a1b1, carry = 0; |
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232 while (a_len--) { |
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233 a_i = *a++; |
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234 s_bmul_1x1(&a1b1, &a0b0, a_i, b); |
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235 *d++ ^= a0b0 ^ carry; |
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236 carry = a1b1; |
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237 } |
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238 *d ^= carry; |
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239 } |
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240 |
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241 /* Compute binary polynomial xor multiply c = a * b. |
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242 * All parameters may be identical. |
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243 */ |
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244 mp_err |
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245 mp_bmul(const mp_int *a, const mp_int *b, mp_int *c) |
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246 { |
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247 mp_digit *pb, b_i; |
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248 mp_int tmp; |
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249 mp_size ib, a_used, b_used; |
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250 mp_err res = MP_OKAY; |
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251 |
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252 MP_DIGITS(&tmp) = 0; |
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253 |
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254 ARGCHK(a != NULL && b != NULL && c != NULL, MP_BADARG); |
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255 |
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256 if (a == c) { |
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257 MP_CHECKOK( mp_init_copy(&tmp, a) ); |
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258 if (a == b) |
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259 b = &tmp; |
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260 a = &tmp; |
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261 } else if (b == c) { |
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262 MP_CHECKOK( mp_init_copy(&tmp, b) ); |
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263 b = &tmp; |
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264 } |
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265 |
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266 if (MP_USED(a) < MP_USED(b)) { |
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267 const mp_int *xch = b; /* switch a and b if b longer */ |
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268 b = a; |
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269 a = xch; |
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270 } |
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271 |
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272 MP_USED(c) = 1; MP_DIGIT(c, 0) = 0; |
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273 MP_CHECKOK( s_mp_pad(c, USED(a) + USED(b)) ); |
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274 |
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275 pb = MP_DIGITS(b); |
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276 s_bmul_d(MP_DIGITS(a), MP_USED(a), *pb++, MP_DIGITS(c)); |
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277 |
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278 /* Outer loop: Digits of b */ |
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279 a_used = MP_USED(a); |
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280 b_used = MP_USED(b); |
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281 MP_USED(c) = a_used + b_used; |
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282 for (ib = 1; ib < b_used; ib++) { |
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283 b_i = *pb++; |
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284 |
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285 /* Inner product: Digits of a */ |
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286 if (b_i) |
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287 s_bmul_d_add(MP_DIGITS(a), a_used, b_i, MP_DIGITS(c) + ib); |
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288 else |
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289 MP_DIGIT(c, ib + a_used) = b_i; |
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290 } |
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291 |
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292 s_mp_clamp(c); |
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293 |
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294 SIGN(c) = ZPOS; |
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295 |
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296 CLEANUP: |
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297 mp_clear(&tmp); |
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298 return res; |
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299 } |
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300 |
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301 |
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302 /* Compute modular reduction of a and store result in r. |
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303 * r could be a. |
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304 * For modular arithmetic, the irreducible polynomial f(t) is represented |
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305 * as an array of int[], where f(t) is of the form: |
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306 * f(t) = t^p[0] + t^p[1] + ... + t^p[k] |
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307 * where m = p[0] > p[1] > ... > p[k] = 0. |
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308 */ |
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309 mp_err |
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310 mp_bmod(const mp_int *a, const unsigned int p[], mp_int *r) |
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311 { |
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312 int j, k; |
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313 int n, dN, d0, d1; |
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314 mp_digit zz, *z, tmp; |
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315 mp_size used; |
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316 mp_err res = MP_OKAY; |
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317 |
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318 /* The algorithm does the reduction in place in r, |
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319 * if a != r, copy a into r first so reduction can be done in r |
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320 */ |
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321 if (a != r) { |
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322 MP_CHECKOK( mp_copy(a, r) ); |
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323 } |
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324 z = MP_DIGITS(r); |
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325 |
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326 /* start reduction */ |
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327 /*dN = p[0] / MP_DIGIT_BITS; */ |
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328 dN = p[0] >> MP_DIGIT_BITS_LOG_2; |
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329 used = MP_USED(r); |
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330 |
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331 for (j = used - 1; j > dN;) { |
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332 |
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333 zz = z[j]; |
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334 if (zz == 0) { |
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335 j--; continue; |
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This is NSS with a Cmake Buildsyste
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336 } |
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This is NSS with a Cmake Buildsyste
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337 z[j] = 0; |
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This is NSS with a Cmake Buildsyste
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|
338 |
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This is NSS with a Cmake Buildsyste
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|
339 for (k = 1; p[k] > 0; k++) { |
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|
340 /* reducing component t^p[k] */ |
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341 n = p[0] - p[k]; |
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This is NSS with a Cmake Buildsyste
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342 /*d0 = n % MP_DIGIT_BITS; */ |
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This is NSS with a Cmake Buildsyste
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343 d0 = n & MP_DIGIT_BITS_MASK; |
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344 d1 = MP_DIGIT_BITS - d0; |
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|
345 /*n /= MP_DIGIT_BITS; */ |
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346 n >>= MP_DIGIT_BITS_LOG_2; |
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347 z[j-n] ^= (zz>>d0); |
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348 if (d0) |
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349 z[j-n-1] ^= (zz<<d1); |
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This is NSS with a Cmake Buildsyste
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350 } |
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This is NSS with a Cmake Buildsyste
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351 |
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This is NSS with a Cmake Buildsyste
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352 /* reducing component t^0 */ |
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This is NSS with a Cmake Buildsyste
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353 n = dN; |
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|
354 /*d0 = p[0] % MP_DIGIT_BITS;*/ |
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|
355 d0 = p[0] & MP_DIGIT_BITS_MASK; |
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356 d1 = MP_DIGIT_BITS - d0; |
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357 z[j-n] ^= (zz >> d0); |
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358 if (d0) |
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|
359 z[j-n-1] ^= (zz << d1); |
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360 |
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This is NSS with a Cmake Buildsyste
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361 } |
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This is NSS with a Cmake Buildsyste
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362 |
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|
363 /* final round of reduction */ |
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364 while (j == dN) { |
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This is NSS with a Cmake Buildsyste
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365 |
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366 /* d0 = p[0] % MP_DIGIT_BITS; */ |
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|
367 d0 = p[0] & MP_DIGIT_BITS_MASK; |
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368 zz = z[dN] >> d0; |
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This is NSS with a Cmake Buildsyste
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369 if (zz == 0) break; |
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This is NSS with a Cmake Buildsyste
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370 d1 = MP_DIGIT_BITS - d0; |
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371 |
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372 /* clear up the top d1 bits */ |
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373 if (d0) { |
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This is NSS with a Cmake Buildsyste
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374 z[dN] = (z[dN] << d1) >> d1; |
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375 } else { |
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376 z[dN] = 0; |
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This is NSS with a Cmake Buildsyste
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377 } |
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This is NSS with a Cmake Buildsyste
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378 *z ^= zz; /* reduction t^0 component */ |
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This is NSS with a Cmake Buildsyste
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379 |
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380 for (k = 1; p[k] > 0; k++) { |
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381 /* reducing component t^p[k]*/ |
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382 /* n = p[k] / MP_DIGIT_BITS; */ |
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383 n = p[k] >> MP_DIGIT_BITS_LOG_2; |
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384 /* d0 = p[k] % MP_DIGIT_BITS; */ |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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parents:
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385 d0 = p[k] & MP_DIGIT_BITS_MASK; |
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386 d1 = MP_DIGIT_BITS - d0; |
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387 z[n] ^= (zz << d0); |
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388 tmp = zz >> d1; |
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389 if (d0 && tmp) |
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390 z[n+1] ^= tmp; |
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391 } |
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This is NSS with a Cmake Buildsyste
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|
392 } |
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This is NSS with a Cmake Buildsyste
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393 |
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This is NSS with a Cmake Buildsyste
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|
394 s_mp_clamp(r); |
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This is NSS with a Cmake Buildsyste
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395 CLEANUP: |
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396 return res; |
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|
397 } |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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398 |
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This is NSS with a Cmake Buildsyste
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|
399 /* Compute the product of two polynomials a and b, reduce modulo p, |
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400 * Store the result in r. r could be a or b; a could be b. |
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|
401 */ |
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This is NSS with a Cmake Buildsyste
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parents:
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|
402 mp_err |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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|
403 mp_bmulmod(const mp_int *a, const mp_int *b, const unsigned int p[], mp_int *r) |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
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|
404 { |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
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|
405 mp_err res; |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
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|
406 |
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This is NSS with a Cmake Buildsyste
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parents:
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407 if (a == b) return mp_bsqrmod(a, p, r); |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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parents:
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408 if ((res = mp_bmul(a, b, r) ) != MP_OKAY) |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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parents:
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409 return res; |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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parents:
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|
410 return mp_bmod(r, p, r); |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
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|
411 } |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
changeset
|
412 |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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parents:
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|
413 /* Compute binary polynomial squaring c = a*a mod p . |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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414 * Parameter r and a can be identical. |
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This is NSS with a Cmake Buildsyste
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parents:
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|
415 */ |
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This is NSS with a Cmake Buildsyste
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parents:
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|
416 |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
changeset
|
417 mp_err |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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parents:
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|
418 mp_bsqrmod(const mp_int *a, const unsigned int p[], mp_int *r) |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
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419 { |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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|
420 mp_digit *pa, *pr, a_i; |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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parents:
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|
421 mp_int tmp; |
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This is NSS with a Cmake Buildsyste
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422 mp_size ia, a_used; |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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parents:
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423 mp_err res; |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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parents:
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|
424 |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
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|
425 ARGCHK(a != NULL && r != NULL, MP_BADARG); |
1e5118fa0cb1
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parents:
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|
426 MP_DIGITS(&tmp) = 0; |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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parents:
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|
427 |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
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changeset
|
428 if (a == r) { |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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parents:
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|
429 MP_CHECKOK( mp_init_copy(&tmp, a) ); |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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parents:
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|
430 a = &tmp; |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
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|
431 } |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
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changeset
|
432 |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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parents:
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|
433 MP_USED(r) = 1; MP_DIGIT(r, 0) = 0; |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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parents:
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|
434 MP_CHECKOK( s_mp_pad(r, 2*USED(a)) ); |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
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|
435 |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
changeset
|
436 pa = MP_DIGITS(a); |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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parents:
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|
437 pr = MP_DIGITS(r); |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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parents:
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|
438 a_used = MP_USED(a); |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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parents:
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changeset
|
439 MP_USED(r) = 2 * a_used; |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
changeset
|
440 |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
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changeset
|
441 for (ia = 0; ia < a_used; ia++) { |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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parents:
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|
442 a_i = *pa++; |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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parents:
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|
443 *pr++ = gf2m_SQR0(a_i); |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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parents:
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changeset
|
444 *pr++ = gf2m_SQR1(a_i); |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
changeset
|
445 } |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
changeset
|
446 |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
changeset
|
447 MP_CHECKOK( mp_bmod(r, p, r) ); |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
changeset
|
448 s_mp_clamp(r); |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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parents:
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changeset
|
449 SIGN(r) = ZPOS; |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
changeset
|
450 |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
changeset
|
451 CLEANUP: |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
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452 mp_clear(&tmp); |
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453 return res; |
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454 } |
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455 |
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456 /* Compute binary polynomial y/x mod p, y divided by x, reduce modulo p. |
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457 * Store the result in r. r could be x or y, and x could equal y. |
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458 * Uses algorithm Modular_Division_GF(2^m) from |
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459 * Chang-Shantz, S. "From Euclid's GCD to Montgomery Multiplication to |
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460 * the Great Divide". |
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461 */ |
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462 int |
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463 mp_bdivmod(const mp_int *y, const mp_int *x, const mp_int *pp, |
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464 const unsigned int p[], mp_int *r) |
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465 { |
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466 mp_int aa, bb, uu; |
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467 mp_int *a, *b, *u, *v; |
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468 mp_err res = MP_OKAY; |
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469 |
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470 MP_DIGITS(&aa) = 0; |
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471 MP_DIGITS(&bb) = 0; |
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472 MP_DIGITS(&uu) = 0; |
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473 |
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474 MP_CHECKOK( mp_init_copy(&aa, x) ); |
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475 MP_CHECKOK( mp_init_copy(&uu, y) ); |
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476 MP_CHECKOK( mp_init_copy(&bb, pp) ); |
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477 MP_CHECKOK( s_mp_pad(r, USED(pp)) ); |
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478 MP_USED(r) = 1; MP_DIGIT(r, 0) = 0; |
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479 |
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480 a = &aa; b= &bb; u=&uu; v=r; |
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481 /* reduce x and y mod p */ |
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482 MP_CHECKOK( mp_bmod(a, p, a) ); |
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483 MP_CHECKOK( mp_bmod(u, p, u) ); |
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484 |
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485 while (!mp_isodd(a)) { |
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486 s_mp_div2(a); |
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487 if (mp_isodd(u)) { |
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488 MP_CHECKOK( mp_badd(u, pp, u) ); |
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489 } |
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490 s_mp_div2(u); |
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491 } |
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492 |
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493 do { |
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494 if (mp_cmp_mag(b, a) > 0) { |
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495 MP_CHECKOK( mp_badd(b, a, b) ); |
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496 MP_CHECKOK( mp_badd(v, u, v) ); |
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497 do { |
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498 s_mp_div2(b); |
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499 if (mp_isodd(v)) { |
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500 MP_CHECKOK( mp_badd(v, pp, v) ); |
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501 } |
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502 s_mp_div2(v); |
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503 } while (!mp_isodd(b)); |
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504 } |
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505 else if ((MP_DIGIT(a,0) == 1) && (MP_USED(a) == 1)) |
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506 break; |
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|
507 else { |
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508 MP_CHECKOK( mp_badd(a, b, a) ); |
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509 MP_CHECKOK( mp_badd(u, v, u) ); |
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510 do { |
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Andre Heinecke <andre.heinecke@intevation.de>
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511 s_mp_div2(a); |
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|
512 if (mp_isodd(u)) { |
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|
513 MP_CHECKOK( mp_badd(u, pp, u) ); |
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514 } |
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Andre Heinecke <andre.heinecke@intevation.de>
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515 s_mp_div2(u); |
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516 } while (!mp_isodd(a)); |
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diff
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|
517 } |
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518 } while (1); |
1e5118fa0cb1
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|
519 |
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
changeset
|
520 MP_CHECKOK( mp_copy(u, r) ); |
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
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|
521 |
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Andre Heinecke <andre.heinecke@intevation.de>
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|
522 CLEANUP: |
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Andre Heinecke <andre.heinecke@intevation.de>
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523 mp_clear(&aa); |
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This is NSS with a Cmake Buildsyste
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524 mp_clear(&bb); |
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parents:
diff
changeset
|
525 mp_clear(&uu); |
1e5118fa0cb1
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|
526 return res; |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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parents:
diff
changeset
|
527 |
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
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|
528 } |
1e5118fa0cb1
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
changeset
|
529 |
1e5118fa0cb1
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parents:
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|
530 /* Convert the bit-string representation of a polynomial a into an array |
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Andre Heinecke <andre.heinecke@intevation.de>
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531 * of integers corresponding to the bits with non-zero coefficient. |
1e5118fa0cb1
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532 * Up to max elements of the array will be filled. Return value is total |
1e5118fa0cb1
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parents:
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533 * number of coefficients that would be extracted if array was large enough. |
1e5118fa0cb1
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
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|
534 */ |
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
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|
535 int |
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parents:
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536 mp_bpoly2arr(const mp_int *a, unsigned int p[], int max) |
1e5118fa0cb1
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Andre Heinecke <andre.heinecke@intevation.de>
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537 { |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
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|
538 int i, j, k; |
1e5118fa0cb1
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parents:
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|
539 mp_digit top_bit, mask; |
1e5118fa0cb1
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parents:
diff
changeset
|
540 |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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parents:
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|
541 top_bit = 1; |
1e5118fa0cb1
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
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changeset
|
542 top_bit <<= MP_DIGIT_BIT - 1; |
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This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
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|
543 |
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
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|
544 for (k = 0; k < max; k++) p[k] = 0; |
1e5118fa0cb1
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parents:
diff
changeset
|
545 k = 0; |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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parents:
diff
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|
546 |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
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|
547 for (i = MP_USED(a) - 1; i >= 0; i--) { |
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
changeset
|
548 mask = top_bit; |
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
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|
549 for (j = MP_DIGIT_BIT - 1; j >= 0; j--) { |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
changeset
|
550 if (MP_DIGITS(a)[i] & mask) { |
1e5118fa0cb1
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parents:
diff
changeset
|
551 if (k < max) p[k] = MP_DIGIT_BIT * i + j; |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
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|
552 k++; |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
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|
553 } |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
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|
554 mask >>= 1; |
1e5118fa0cb1
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
changeset
|
555 } |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
changeset
|
556 } |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
changeset
|
557 |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
changeset
|
558 return k; |
1e5118fa0cb1
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parents:
diff
changeset
|
559 } |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
changeset
|
560 |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
changeset
|
561 /* Convert the coefficient array representation of a polynomial to a |
1e5118fa0cb1
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
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|
562 * bit-string. The array must be terminated by 0. |
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This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
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|
563 */ |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
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|
564 mp_err |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
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|
565 mp_barr2poly(const unsigned int p[], mp_int *a) |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
changeset
|
566 { |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
changeset
|
567 |
1e5118fa0cb1
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
changeset
|
568 mp_err res = MP_OKAY; |
1e5118fa0cb1
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
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|
569 int i; |
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This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
changeset
|
570 |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
changeset
|
571 mp_zero(a); |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
changeset
|
572 for (i = 0; p[i] > 0; i++) { |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
changeset
|
573 MP_CHECKOK( mpl_set_bit(a, p[i], 1) ); |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
changeset
|
574 } |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
changeset
|
575 MP_CHECKOK( mpl_set_bit(a, 0, 1) ); |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
changeset
|
576 |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
changeset
|
577 CLEANUP: |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
changeset
|
578 return res; |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
changeset
|
579 } |