Mercurial > dropbear
annotate libtommath/bn_mp_prime_next_prime.c @ 1743:7d8462677355 fuzz
Disallow extra kexinit messages
author | Matt Johnston <matt@ucc.asn.au> |
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date | Sun, 18 Oct 2020 22:17:54 +0800 |
parents | 1051e4eea25a |
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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 /* SPDX-License-Identifier: Unlicense */ |
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5 |
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6 /* finds the next prime after the number "a" using "t" trials |
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7 * of Miller-Rabin. |
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8 * |
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9 * bbs_style = 1 means the prime must be congruent to 3 mod 4 |
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10 */ |
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11 mp_err mp_prime_next_prime(mp_int *a, int t, int bbs_style) |
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12 { |
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13 int x, y; |
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14 mp_ord cmp; |
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15 mp_err err; |
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16 mp_bool res = MP_NO; |
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17 mp_digit res_tab[PRIVATE_MP_PRIME_TAB_SIZE], step, kstep; |
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18 mp_int b; |
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19 |
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20 /* force positive */ |
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21 a->sign = MP_ZPOS; |
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22 |
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23 /* simple algo if a is less than the largest prime in the table */ |
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24 if (mp_cmp_d(a, s_mp_prime_tab[PRIVATE_MP_PRIME_TAB_SIZE-1]) == MP_LT) { |
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25 /* find which prime it is bigger than "a" */ |
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26 for (x = 0; x < PRIVATE_MP_PRIME_TAB_SIZE; x++) { |
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27 cmp = mp_cmp_d(a, s_mp_prime_tab[x]); |
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28 if (cmp == MP_EQ) { |
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29 continue; |
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30 } |
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31 if (cmp != MP_GT) { |
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32 if ((bbs_style == 1) && ((s_mp_prime_tab[x] & 3u) != 3u)) { |
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33 /* try again until we get a prime congruent to 3 mod 4 */ |
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34 continue; |
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35 } else { |
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36 mp_set(a, s_mp_prime_tab[x]); |
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37 return MP_OKAY; |
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38 } |
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39 } |
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40 } |
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41 /* fall through to the sieve */ |
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42 } |
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43 |
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44 /* generate a prime congruent to 3 mod 4 or 1/3 mod 4? */ |
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45 if (bbs_style == 1) { |
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46 kstep = 4; |
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47 } else { |
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48 kstep = 2; |
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49 } |
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50 |
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51 /* at this point we will use a combination of a sieve and Miller-Rabin */ |
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52 |
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53 if (bbs_style == 1) { |
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54 /* if a mod 4 != 3 subtract the correct value to make it so */ |
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55 if ((a->dp[0] & 3u) != 3u) { |
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56 if ((err = mp_sub_d(a, (a->dp[0] & 3u) + 1u, a)) != MP_OKAY) { |
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57 return err; |
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58 } |
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59 } |
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60 } else { |
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61 if (MP_IS_EVEN(a)) { |
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62 /* force odd */ |
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63 if ((err = mp_sub_d(a, 1uL, a)) != MP_OKAY) { |
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64 return err; |
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65 } |
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66 } |
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67 } |
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68 |
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69 /* generate the restable */ |
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70 for (x = 1; x < PRIVATE_MP_PRIME_TAB_SIZE; x++) { |
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71 if ((err = mp_mod_d(a, s_mp_prime_tab[x], res_tab + x)) != MP_OKAY) { |
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72 return err; |
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73 } |
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74 } |
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75 |
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76 /* init temp used for Miller-Rabin Testing */ |
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77 if ((err = mp_init(&b)) != MP_OKAY) { |
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78 return err; |
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79 } |
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80 |
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81 for (;;) { |
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82 /* skip to the next non-trivially divisible candidate */ |
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83 step = 0; |
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84 do { |
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85 /* y == 1 if any residue was zero [e.g. cannot be prime] */ |
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86 y = 0; |
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87 |
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88 /* increase step to next candidate */ |
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89 step += kstep; |
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90 |
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91 /* compute the new residue without using division */ |
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92 for (x = 1; x < PRIVATE_MP_PRIME_TAB_SIZE; x++) { |
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93 /* add the step to each residue */ |
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94 res_tab[x] += kstep; |
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95 |
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96 /* subtract the modulus [instead of using division] */ |
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97 if (res_tab[x] >= s_mp_prime_tab[x]) { |
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98 res_tab[x] -= s_mp_prime_tab[x]; |
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99 } |
284
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100 |
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101 /* set flag if zero */ |
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102 if (res_tab[x] == 0u) { |
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103 y = 1; |
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104 } |
284
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105 } |
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106 } while ((y == 1) && (step < (((mp_digit)1 << MP_DIGIT_BIT) - kstep))); |
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107 |
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108 /* add the step */ |
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109 if ((err = mp_add_d(a, step, a)) != MP_OKAY) { |
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110 goto LBL_ERR; |
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111 } |
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112 |
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113 /* if didn't pass sieve and step == MP_MAX then skip test */ |
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114 if ((y == 1) && (step >= (((mp_digit)1 << MP_DIGIT_BIT) - kstep))) { |
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115 continue; |
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116 } |
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117 |
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118 if ((err = mp_prime_is_prime(a, t, &res)) != MP_OKAY) { |
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119 goto LBL_ERR; |
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120 } |
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121 if (res == MP_YES) { |
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122 break; |
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123 } |
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124 } |
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125 |
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126 err = MP_OKAY; |
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127 LBL_ERR: |
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128 mp_clear(&b); |
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129 return err; |
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130 } |
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131 |
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132 #endif |