Mercurial > dropbear
annotate libtommath/bn_s_mp_exptmod.c @ 1812:552bb9b4f16a
Make releases tarballs more deterministic
Not fully tested on different systems yet
author | Matt Johnston <matt@ucc.asn.au> |
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date | Tue, 30 Mar 2021 22:08:14 +0800 |
parents | 1051e4eea25a |
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rev | line source |
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1 #include "tommath_private.h" |
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2 #ifdef BN_S_MP_EXPTMOD_C |
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3 /* LibTomMath, multiple-precision integer library -- Tom St Denis */ |
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4 /* SPDX-License-Identifier: Unlicense */ |
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5 |
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6 #ifdef MP_LOW_MEM |
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7 # define TAB_SIZE 32 |
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8 # define MAX_WINSIZE 5 |
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9 #else |
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10 # define TAB_SIZE 256 |
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11 # define MAX_WINSIZE 0 |
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12 #endif |
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13 |
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14 mp_err s_mp_exptmod(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y, int redmode) |
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15 { |
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16 mp_int M[TAB_SIZE], res, mu; |
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17 mp_digit buf; |
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18 mp_err err; |
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19 int bitbuf, bitcpy, bitcnt, mode, digidx, x, y, winsize; |
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20 mp_err(*redux)(mp_int *x, const mp_int *m, const mp_int *mu); |
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21 |
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22 /* find window size */ |
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23 x = mp_count_bits(X); |
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24 if (x <= 7) { |
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25 winsize = 2; |
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26 } else if (x <= 36) { |
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27 winsize = 3; |
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28 } else if (x <= 140) { |
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29 winsize = 4; |
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30 } else if (x <= 450) { |
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31 winsize = 5; |
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32 } else if (x <= 1303) { |
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33 winsize = 6; |
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34 } else if (x <= 3529) { |
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35 winsize = 7; |
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36 } else { |
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37 winsize = 8; |
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38 } |
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39 |
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40 winsize = MAX_WINSIZE ? MP_MIN(MAX_WINSIZE, winsize) : winsize; |
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41 |
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42 /* init M array */ |
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43 /* init first cell */ |
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44 if ((err = mp_init(&M[1])) != MP_OKAY) { |
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45 return err; |
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46 } |
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47 |
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48 /* now init the second half of the array */ |
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49 for (x = 1<<(winsize-1); x < (1 << winsize); x++) { |
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50 if ((err = mp_init(&M[x])) != MP_OKAY) { |
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51 for (y = 1<<(winsize-1); y < x; y++) { |
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52 mp_clear(&M[y]); |
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53 } |
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54 mp_clear(&M[1]); |
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55 return err; |
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56 } |
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57 } |
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58 |
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59 /* create mu, used for Barrett reduction */ |
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60 if ((err = mp_init(&mu)) != MP_OKAY) goto LBL_M; |
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61 |
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62 if (redmode == 0) { |
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63 if ((err = mp_reduce_setup(&mu, P)) != MP_OKAY) goto LBL_MU; |
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64 redux = mp_reduce; |
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65 } else { |
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66 if ((err = mp_reduce_2k_setup_l(P, &mu)) != MP_OKAY) goto LBL_MU; |
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67 redux = mp_reduce_2k_l; |
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68 } |
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69 |
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70 /* create M table |
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71 * |
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72 * The M table contains powers of the base, |
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73 * e.g. M[x] = G**x mod P |
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74 * |
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75 * The first half of the table is not |
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76 * computed though accept for M[0] and M[1] |
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77 */ |
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78 if ((err = mp_mod(G, P, &M[1])) != MP_OKAY) goto LBL_MU; |
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79 |
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80 /* compute the value at M[1<<(winsize-1)] by squaring |
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81 * M[1] (winsize-1) times |
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82 */ |
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83 if ((err = mp_copy(&M[1], &M[(size_t)1 << (winsize - 1)])) != MP_OKAY) goto LBL_MU; |
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84 |
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85 for (x = 0; x < (winsize - 1); x++) { |
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86 /* square it */ |
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87 if ((err = mp_sqr(&M[(size_t)1 << (winsize - 1)], |
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88 &M[(size_t)1 << (winsize - 1)])) != MP_OKAY) goto LBL_MU; |
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89 |
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90 /* reduce modulo P */ |
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91 if ((err = redux(&M[(size_t)1 << (winsize - 1)], P, &mu)) != MP_OKAY) goto LBL_MU; |
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92 } |
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93 |
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94 /* create upper table, that is M[x] = M[x-1] * M[1] (mod P) |
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95 * for x = (2**(winsize - 1) + 1) to (2**winsize - 1) |
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96 */ |
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97 for (x = (1 << (winsize - 1)) + 1; x < (1 << winsize); x++) { |
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98 if ((err = mp_mul(&M[x - 1], &M[1], &M[x])) != MP_OKAY) goto LBL_MU; |
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99 if ((err = redux(&M[x], P, &mu)) != MP_OKAY) goto LBL_MU; |
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100 } |
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101 |
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102 /* setup result */ |
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103 if ((err = mp_init(&res)) != MP_OKAY) goto LBL_MU; |
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104 mp_set(&res, 1uL); |
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105 |
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106 /* set initial mode and bit cnt */ |
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107 mode = 0; |
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108 bitcnt = 1; |
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109 buf = 0; |
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110 digidx = X->used - 1; |
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111 bitcpy = 0; |
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112 bitbuf = 0; |
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113 |
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114 for (;;) { |
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115 /* grab next digit as required */ |
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116 if (--bitcnt == 0) { |
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117 /* if digidx == -1 we are out of digits */ |
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118 if (digidx == -1) { |
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119 break; |
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120 } |
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121 /* read next digit and reset the bitcnt */ |
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122 buf = X->dp[digidx--]; |
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123 bitcnt = (int)MP_DIGIT_BIT; |
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124 } |
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125 |
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126 /* grab the next msb from the exponent */ |
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127 y = (buf >> (mp_digit)(MP_DIGIT_BIT - 1)) & 1uL; |
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128 buf <<= (mp_digit)1; |
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129 |
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130 /* if the bit is zero and mode == 0 then we ignore it |
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131 * These represent the leading zero bits before the first 1 bit |
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132 * in the exponent. Technically this opt is not required but it |
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133 * does lower the # of trivial squaring/reductions used |
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134 */ |
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135 if ((mode == 0) && (y == 0)) { |
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136 continue; |
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137 } |
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138 |
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139 /* if the bit is zero and mode == 1 then we square */ |
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140 if ((mode == 1) && (y == 0)) { |
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Update LibTomMath to 1.2.0 (#84)
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141 if ((err = mp_sqr(&res, &res)) != MP_OKAY) goto LBL_RES; |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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142 if ((err = redux(&res, P, &mu)) != MP_OKAY) goto LBL_RES; |
1655
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143 continue; |
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|
144 } |
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145 |
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146 /* else we add it to the window */ |
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147 bitbuf |= (y << (winsize - ++bitcpy)); |
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148 mode = 2; |
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149 |
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150 if (bitcpy == winsize) { |
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151 /* ok window is filled so square as required and multiply */ |
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152 /* square first */ |
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153 for (x = 0; x < winsize; x++) { |
1692
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Update LibTomMath to 1.2.0 (#84)
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|
154 if ((err = mp_sqr(&res, &res)) != MP_OKAY) goto LBL_RES; |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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155 if ((err = redux(&res, P, &mu)) != MP_OKAY) goto LBL_RES; |
1655
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|
156 } |
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|
157 |
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|
158 /* then multiply */ |
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Update LibTomMath to 1.2.0 (#84)
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159 if ((err = mp_mul(&res, &M[bitbuf], &res)) != MP_OKAY) goto LBL_RES; |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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160 if ((err = redux(&res, P, &mu)) != MP_OKAY) goto LBL_RES; |
1655
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161 |
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162 /* empty window and reset */ |
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|
163 bitcpy = 0; |
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|
164 bitbuf = 0; |
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|
165 mode = 1; |
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|
166 } |
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|
167 } |
284
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|
168 |
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169 /* if bits remain then square/multiply */ |
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170 if ((mode == 2) && (bitcpy > 0)) { |
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171 /* square then multiply if the bit is set */ |
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|
172 for (x = 0; x < bitcpy; x++) { |
1692
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Update LibTomMath to 1.2.0 (#84)
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|
173 if ((err = mp_sqr(&res, &res)) != MP_OKAY) goto LBL_RES; |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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|
174 if ((err = redux(&res, P, &mu)) != MP_OKAY) goto LBL_RES; |
1655
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175 |
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176 bitbuf <<= 1; |
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177 if ((bitbuf & (1 << winsize)) != 0) { |
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178 /* then multiply */ |
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|
179 if ((err = mp_mul(&res, &M[1], &res)) != MP_OKAY) goto LBL_RES; |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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|
180 if ((err = redux(&res, P, &mu)) != MP_OKAY) goto LBL_RES; |
1655
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|
181 } |
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|
182 } |
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|
183 } |
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184 |
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185 mp_exch(&res, Y); |
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186 err = MP_OKAY; |
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187 LBL_RES: |
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188 mp_clear(&res); |
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189 LBL_MU: |
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190 mp_clear(&mu); |
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191 LBL_M: |
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192 mp_clear(&M[1]); |
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193 for (x = 1<<(winsize-1); x < (1 << winsize); x++) { |
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194 mp_clear(&M[x]); |
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195 } |
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196 return err; |
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197 } |
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198 #endif |