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annotate libtommath/bn_s_mp_exptmod.c @ 1670:aeda68938596
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author | jcmathews <jesselcmathews@yahoo.co.in> |
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date | Mon, 25 May 2020 18:32:59 +0530 |
parents | f52919ffd3b1 |
children | 1051e4eea25a |
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 * |
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5 * LibTomMath is a library that provides multiple-precision |
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6 * integer arithmetic as well as number theoretic functionality. |
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7 * |
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8 * The library was designed directly after the MPI library by |
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9 * Michael Fromberger but has been written from scratch with |
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10 * additional optimizations in place. |
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11 * |
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12 * SPDX-License-Identifier: Unlicense |
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13 */ |
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14 |
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15 #ifdef MP_LOW_MEM |
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16 # define TAB_SIZE 32 |
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17 #else |
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18 # define TAB_SIZE 256 |
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19 #endif |
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20 |
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21 int s_mp_exptmod(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y, int redmode) |
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22 { |
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23 mp_int M[TAB_SIZE], res, mu; |
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24 mp_digit buf; |
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25 int err, bitbuf, bitcpy, bitcnt, mode, digidx, x, y, winsize; |
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26 int (*redux)(mp_int *x, const mp_int *m, const mp_int *mu); |
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27 |
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28 /* find window size */ |
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29 x = mp_count_bits(X); |
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30 if (x <= 7) { |
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31 winsize = 2; |
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32 } else if (x <= 36) { |
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33 winsize = 3; |
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34 } else if (x <= 140) { |
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35 winsize = 4; |
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36 } else if (x <= 450) { |
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37 winsize = 5; |
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38 } else if (x <= 1303) { |
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39 winsize = 6; |
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40 } else if (x <= 3529) { |
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41 winsize = 7; |
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42 } else { |
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43 winsize = 8; |
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44 } |
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45 |
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46 #ifdef MP_LOW_MEM |
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47 if (winsize > 5) { |
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48 winsize = 5; |
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49 } |
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50 #endif |
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51 |
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52 /* init M array */ |
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53 /* init first cell */ |
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54 if ((err = mp_init(&M[1])) != MP_OKAY) { |
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55 return err; |
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56 } |
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57 |
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58 /* now init the second half of the array */ |
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59 for (x = 1<<(winsize-1); x < (1 << winsize); x++) { |
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60 if ((err = mp_init(&M[x])) != MP_OKAY) { |
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61 for (y = 1<<(winsize-1); y < x; y++) { |
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62 mp_clear(&M[y]); |
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63 } |
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64 mp_clear(&M[1]); |
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65 return err; |
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66 } |
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67 } |
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68 |
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69 /* create mu, used for Barrett reduction */ |
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70 if ((err = mp_init(&mu)) != MP_OKAY) { |
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71 goto LBL_M; |
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72 } |
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73 |
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74 if (redmode == 0) { |
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75 if ((err = mp_reduce_setup(&mu, P)) != MP_OKAY) { |
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76 goto LBL_MU; |
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77 } |
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78 redux = mp_reduce; |
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79 } else { |
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80 if ((err = mp_reduce_2k_setup_l(P, &mu)) != MP_OKAY) { |
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81 goto LBL_MU; |
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82 } |
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83 redux = mp_reduce_2k_l; |
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84 } |
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85 |
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86 /* create M table |
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87 * |
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88 * The M table contains powers of the base, |
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89 * e.g. M[x] = G**x mod P |
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90 * |
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91 * The first half of the table is not |
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92 * computed though accept for M[0] and M[1] |
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93 */ |
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94 if ((err = mp_mod(G, P, &M[1])) != MP_OKAY) { |
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95 goto LBL_MU; |
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96 } |
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97 |
1655
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98 /* compute the value at M[1<<(winsize-1)] by squaring |
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99 * M[1] (winsize-1) times |
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100 */ |
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101 if ((err = mp_copy(&M[1], &M[(size_t)1 << (winsize - 1)])) != MP_OKAY) { |
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102 goto LBL_MU; |
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103 } |
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104 |
1655
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105 for (x = 0; x < (winsize - 1); x++) { |
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106 /* square it */ |
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107 if ((err = mp_sqr(&M[(size_t)1 << (winsize - 1)], |
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108 &M[(size_t)1 << (winsize - 1)])) != MP_OKAY) { |
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109 goto LBL_MU; |
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110 } |
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111 |
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112 /* reduce modulo P */ |
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113 if ((err = redux(&M[(size_t)1 << (winsize - 1)], P, &mu)) != MP_OKAY) { |
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114 goto LBL_MU; |
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115 } |
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116 } |
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117 |
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118 /* create upper table, that is M[x] = M[x-1] * M[1] (mod P) |
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119 * for x = (2**(winsize - 1) + 1) to (2**winsize - 1) |
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120 */ |
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121 for (x = (1 << (winsize - 1)) + 1; x < (1 << winsize); x++) { |
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122 if ((err = mp_mul(&M[x - 1], &M[1], &M[x])) != MP_OKAY) { |
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123 goto LBL_MU; |
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124 } |
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125 if ((err = redux(&M[x], P, &mu)) != MP_OKAY) { |
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126 goto LBL_MU; |
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127 } |
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128 } |
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129 |
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130 /* setup result */ |
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131 if ((err = mp_init(&res)) != MP_OKAY) { |
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132 goto LBL_MU; |
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133 } |
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134 mp_set(&res, 1uL); |
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135 |
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136 /* set initial mode and bit cnt */ |
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137 mode = 0; |
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138 bitcnt = 1; |
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139 buf = 0; |
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140 digidx = X->used - 1; |
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141 bitcpy = 0; |
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142 bitbuf = 0; |
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143 |
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144 for (;;) { |
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145 /* grab next digit as required */ |
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146 if (--bitcnt == 0) { |
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147 /* if digidx == -1 we are out of digits */ |
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148 if (digidx == -1) { |
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149 break; |
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150 } |
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151 /* read next digit and reset the bitcnt */ |
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152 buf = X->dp[digidx--]; |
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153 bitcnt = (int)DIGIT_BIT; |
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154 } |
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155 |
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156 /* grab the next msb from the exponent */ |
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157 y = (buf >> (mp_digit)(DIGIT_BIT - 1)) & 1; |
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158 buf <<= (mp_digit)1; |
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159 |
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160 /* if the bit is zero and mode == 0 then we ignore it |
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161 * These represent the leading zero bits before the first 1 bit |
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162 * in the exponent. Technically this opt is not required but it |
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163 * does lower the # of trivial squaring/reductions used |
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164 */ |
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165 if ((mode == 0) && (y == 0)) { |
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166 continue; |
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167 } |
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168 |
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169 /* if the bit is zero and mode == 1 then we square */ |
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170 if ((mode == 1) && (y == 0)) { |
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171 if ((err = mp_sqr(&res, &res)) != MP_OKAY) { |
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172 goto LBL_RES; |
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173 } |
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174 if ((err = redux(&res, P, &mu)) != MP_OKAY) { |
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175 goto LBL_RES; |
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176 } |
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|
177 continue; |
284
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178 } |
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179 |
1655
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180 /* else we add it to the window */ |
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181 bitbuf |= (y << (winsize - ++bitcpy)); |
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182 mode = 2; |
284
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183 |
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184 if (bitcpy == winsize) { |
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185 /* ok window is filled so square as required and multiply */ |
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186 /* square first */ |
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187 for (x = 0; x < winsize; x++) { |
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188 if ((err = mp_sqr(&res, &res)) != MP_OKAY) { |
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189 goto LBL_RES; |
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190 } |
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191 if ((err = redux(&res, P, &mu)) != MP_OKAY) { |
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192 goto LBL_RES; |
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193 } |
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194 } |
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195 |
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196 /* then multiply */ |
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197 if ((err = mp_mul(&res, &M[bitbuf], &res)) != MP_OKAY) { |
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198 goto LBL_RES; |
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199 } |
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200 if ((err = redux(&res, P, &mu)) != MP_OKAY) { |
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201 goto LBL_RES; |
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202 } |
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203 |
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204 /* empty window and reset */ |
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205 bitcpy = 0; |
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206 bitbuf = 0; |
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207 mode = 1; |
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208 } |
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209 } |
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210 |
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211 /* if bits remain then square/multiply */ |
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212 if ((mode == 2) && (bitcpy > 0)) { |
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213 /* square then multiply if the bit is set */ |
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214 for (x = 0; x < bitcpy; x++) { |
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215 if ((err = mp_sqr(&res, &res)) != MP_OKAY) { |
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216 goto LBL_RES; |
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217 } |
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218 if ((err = redux(&res, P, &mu)) != MP_OKAY) { |
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219 goto LBL_RES; |
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220 } |
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221 |
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222 bitbuf <<= 1; |
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223 if ((bitbuf & (1 << winsize)) != 0) { |
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224 /* then multiply */ |
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225 if ((err = mp_mul(&res, &M[1], &res)) != MP_OKAY) { |
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226 goto LBL_RES; |
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227 } |
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228 if ((err = redux(&res, P, &mu)) != MP_OKAY) { |
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229 goto LBL_RES; |
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230 } |
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231 } |
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232 } |
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233 } |
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234 |
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235 mp_exch(&res, Y); |
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236 err = MP_OKAY; |
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237 LBL_RES: |
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238 mp_clear(&res); |
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239 LBL_MU: |
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240 mp_clear(&mu); |
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241 LBL_M: |
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242 mp_clear(&M[1]); |
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243 for (x = 1<<(winsize-1); x < (1 << winsize); x++) { |
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244 mp_clear(&M[x]); |
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245 } |
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246 return err; |
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247 } |
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248 #endif |
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249 |
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250 /* ref: HEAD -> master, tag: v1.1.0 */ |
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251 /* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ |
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252 /* commit time: 2019-01-28 20:32:32 +0100 */ |