Mercurial > dropbear
annotate libtommath/bn_mp_prime_miller_rabin.c @ 1676:d5cdc60db08e
ext-info handling for server-sig-algs
only client side is handled
author | Matt Johnston <matt@ucc.asn.au> |
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date | Tue, 19 May 2020 00:31:41 +0800 |
parents | f52919ffd3b1 |
children | 1051e4eea25a |
rev | line source |
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1 #include "tommath_private.h" |
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2 #ifdef BN_MP_PRIME_MILLER_RABIN_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 /* Miller-Rabin test of "a" to the base of "b" as described in |
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16 * HAC pp. 139 Algorithm 4.24 |
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17 * |
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18 * Sets result to 0 if definitely composite or 1 if probably prime. |
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19 * Randomly the chance of error is no more than 1/4 and often |
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20 * very much lower. |
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21 */ |
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22 int mp_prime_miller_rabin(const mp_int *a, const mp_int *b, int *result) |
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23 { |
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24 mp_int n1, y, r; |
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25 int s, j, err; |
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26 |
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27 /* default */ |
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28 *result = MP_NO; |
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29 |
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30 /* ensure b > 1 */ |
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31 if (mp_cmp_d(b, 1uL) != MP_GT) { |
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32 return MP_VAL; |
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33 } |
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34 |
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35 /* get n1 = a - 1 */ |
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36 if ((err = mp_init_copy(&n1, a)) != MP_OKAY) { |
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37 return err; |
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38 } |
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39 if ((err = mp_sub_d(&n1, 1uL, &n1)) != MP_OKAY) { |
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40 goto LBL_N1; |
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41 } |
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42 |
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43 /* set 2**s * r = n1 */ |
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44 if ((err = mp_init_copy(&r, &n1)) != MP_OKAY) { |
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45 goto LBL_N1; |
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46 } |
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47 |
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48 /* count the number of least significant bits |
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49 * which are zero |
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50 */ |
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51 s = mp_cnt_lsb(&r); |
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52 |
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53 /* now divide n - 1 by 2**s */ |
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54 if ((err = mp_div_2d(&r, s, &r, NULL)) != MP_OKAY) { |
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55 goto LBL_R; |
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56 } |
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57 |
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58 /* compute y = b**r mod a */ |
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59 if ((err = mp_init(&y)) != MP_OKAY) { |
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60 goto LBL_R; |
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61 } |
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62 if ((err = mp_exptmod(b, &r, a, &y)) != MP_OKAY) { |
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63 goto LBL_Y; |
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64 } |
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65 |
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66 /* if y != 1 and y != n1 do */ |
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67 if ((mp_cmp_d(&y, 1uL) != MP_EQ) && (mp_cmp(&y, &n1) != MP_EQ)) { |
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68 j = 1; |
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69 /* while j <= s-1 and y != n1 */ |
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70 while ((j <= (s - 1)) && (mp_cmp(&y, &n1) != MP_EQ)) { |
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71 if ((err = mp_sqrmod(&y, a, &y)) != MP_OKAY) { |
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72 goto LBL_Y; |
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73 } |
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74 |
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75 /* if y == 1 then composite */ |
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76 if (mp_cmp_d(&y, 1uL) == MP_EQ) { |
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77 goto LBL_Y; |
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78 } |
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79 |
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80 ++j; |
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81 } |
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82 |
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83 /* if y != n1 then composite */ |
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84 if (mp_cmp(&y, &n1) != MP_EQ) { |
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85 goto LBL_Y; |
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86 } |
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87 } |
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88 |
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parents:
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89 /* probably prime now */ |
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parents:
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90 *result = MP_YES; |
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91 LBL_Y: |
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92 mp_clear(&y); |
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93 LBL_R: |
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94 mp_clear(&r); |
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95 LBL_N1: |
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96 mp_clear(&n1); |
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97 return err; |
284
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98 } |
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99 #endif |
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100 |
1655
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101 /* ref: HEAD -> master, tag: v1.1.0 */ |
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102 /* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ |
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parents:
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103 /* commit time: 2019-01-28 20:32:32 +0100 */ |