Mercurial > dropbear
annotate libtommath/bn_mp_prime_next_prime.c @ 1655:f52919ffd3b1
update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
* make key-generation compliant to FIPS 186.4
* fix includes in tommath_class.h
* update fuzzcorpus instead of error-out
* fixup fuzzing make-targets
* update Makefile.in
* apply necessary patches to ltm sources
* clean-up not required ltm files
* update to vanilla ltm 1.1.0
this already only contains the required files
* remove set/get double
author | Steffen Jaeckel <s_jaeckel@gmx.de> |
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date | Mon, 16 Sep 2019 15:50:38 +0200 |
parents | 8bba51a55704 |
children | a36e545fb43d |
rev | line source |
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1655
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1 #include "tommath_private.h" |
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2 #ifdef BN_MP_PRIME_NEXT_PRIME_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 /* finds the next prime after the number "a" using "t" trials |
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16 * of Miller-Rabin. |
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17 * |
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18 * bbs_style = 1 means the prime must be congruent to 3 mod 4 |
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19 */ |
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20 int mp_prime_next_prime(mp_int *a, int t, int bbs_style) |
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21 { |
1436 | 22 int err, res = MP_NO, x, y; |
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23 mp_digit res_tab[PRIME_SIZE], step, kstep; |
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24 mp_int b; |
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25 |
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26 /* force positive */ |
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27 a->sign = MP_ZPOS; |
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28 |
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29 /* simple algo if a is less than the largest prime in the table */ |
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30 if (mp_cmp_d(a, ltm_prime_tab[PRIME_SIZE-1]) == MP_LT) { |
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31 /* find which prime it is bigger than */ |
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32 for (x = PRIME_SIZE - 2; x >= 0; x--) { |
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33 if (mp_cmp_d(a, ltm_prime_tab[x]) != MP_LT) { |
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34 if (bbs_style == 1) { |
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35 /* ok we found a prime smaller or |
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36 * equal [so the next is larger] |
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37 * |
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38 * however, the prime must be |
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39 * congruent to 3 mod 4 |
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40 */ |
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41 if ((ltm_prime_tab[x + 1] & 3u) != 3u) { |
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42 /* scan upwards for a prime congruent to 3 mod 4 */ |
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43 for (y = x + 1; y < PRIME_SIZE; y++) { |
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44 if ((ltm_prime_tab[y] & 3u) == 3u) { |
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45 mp_set(a, ltm_prime_tab[y]); |
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46 return MP_OKAY; |
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47 } |
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48 } |
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49 } |
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50 } else { |
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51 mp_set(a, ltm_prime_tab[x + 1]); |
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52 return MP_OKAY; |
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53 } |
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54 } |
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55 } |
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56 /* at this point a maybe 1 */ |
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57 if (mp_cmp_d(a, 1uL) == MP_EQ) { |
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58 mp_set(a, 2uL); |
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59 return MP_OKAY; |
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60 } |
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61 /* fall through to the sieve */ |
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62 } |
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63 |
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64 /* generate a prime congruent to 3 mod 4 or 1/3 mod 4? */ |
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65 if (bbs_style == 1) { |
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66 kstep = 4; |
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67 } else { |
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68 kstep = 2; |
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69 } |
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70 |
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71 /* at this point we will use a combination of a sieve and Miller-Rabin */ |
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72 |
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73 if (bbs_style == 1) { |
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74 /* if a mod 4 != 3 subtract the correct value to make it so */ |
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75 if ((a->dp[0] & 3u) != 3u) { |
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76 if ((err = mp_sub_d(a, (a->dp[0] & 3u) + 1u, a)) != MP_OKAY) { |
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77 return err; |
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78 }; |
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79 } |
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80 } else { |
1436 | 81 if (mp_iseven(a) == MP_YES) { |
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82 /* force odd */ |
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83 if ((err = mp_sub_d(a, 1uL, a)) != MP_OKAY) { |
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84 return err; |
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85 } |
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86 } |
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87 } |
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88 |
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89 /* generate the restable */ |
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90 for (x = 1; x < PRIME_SIZE; x++) { |
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91 if ((err = mp_mod_d(a, ltm_prime_tab[x], res_tab + x)) != MP_OKAY) { |
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92 return err; |
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93 } |
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94 } |
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95 |
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96 /* init temp used for Miller-Rabin Testing */ |
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97 if ((err = mp_init(&b)) != MP_OKAY) { |
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98 return err; |
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99 } |
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100 |
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101 for (;;) { |
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102 /* skip to the next non-trivially divisible candidate */ |
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103 step = 0; |
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104 do { |
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105 /* y == 1 if any residue was zero [e.g. cannot be prime] */ |
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106 y = 0; |
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107 |
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108 /* increase step to next candidate */ |
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109 step += kstep; |
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110 |
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111 /* compute the new residue without using division */ |
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112 for (x = 1; x < PRIME_SIZE; x++) { |
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113 /* add the step to each residue */ |
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114 res_tab[x] += kstep; |
284
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115 |
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116 /* subtract the modulus [instead of using division] */ |
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117 if (res_tab[x] >= ltm_prime_tab[x]) { |
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118 res_tab[x] -= ltm_prime_tab[x]; |
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119 } |
284
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120 |
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121 /* set flag if zero */ |
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122 if (res_tab[x] == 0u) { |
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123 y = 1; |
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124 } |
284
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125 } |
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126 } while ((y == 1) && (step < (((mp_digit)1 << DIGIT_BIT) - kstep))); |
284
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127 |
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128 /* add the step */ |
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129 if ((err = mp_add_d(a, step, a)) != MP_OKAY) { |
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130 goto LBL_ERR; |
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131 } |
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132 |
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133 /* if didn't pass sieve and step == MAX then skip test */ |
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134 if ((y == 1) && (step >= (((mp_digit)1 << DIGIT_BIT) - kstep))) { |
284
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135 continue; |
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136 } |
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137 |
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138 if ((err = mp_prime_is_prime(a, t, &res)) != MP_OKAY) { |
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139 goto LBL_ERR; |
284
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140 } |
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141 if (res == MP_YES) { |
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142 break; |
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143 } |
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144 } |
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145 |
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146 err = MP_OKAY; |
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147 LBL_ERR: |
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148 mp_clear(&b); |
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149 return err; |
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150 } |
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151 |
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152 #endif |
389
5ff8218bcee9
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284
diff
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|
153 |
1655
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154 /* ref: HEAD -> master, tag: v1.1.0 */ |
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155 /* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ |
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156 /* commit time: 2019-01-28 20:32:32 +0100 */ |