Mercurial > dropbear

annotate libtommath/bn_mp_prime_miller_rabin.c @ 1736:0c31aedc3124

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Added signature for changeset 88f63b8b0f13
author Matt Johnston <matt@ucc.asn.au>
date Fri, 26 Jun 2020 21:57:20 +0800
parents 1051e4eea25a
children
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rev   line source
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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parents: 1470
diff changeset
1 #include "tommath_private.h"
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2 #ifdef BN_MP_PRIME_MILLER_RABIN_C
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1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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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 /* Miller-Rabin test of "a" to the base of "b" as described in
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7 * HAC pp. 139 Algorithm 4.24
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8 *
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9 * Sets result to 0 if definitely composite or 1 if probably prime.
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f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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10 * Randomly the chance of error is no more than 1/4 and often
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11 * very much lower.
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12 */
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13 mp_err mp_prime_miller_rabin(const mp_int *a, const mp_int *b, mp_bool *result)
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14 {
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f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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15 mp_int n1, y, r;
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1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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16 mp_err err;
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17 int s, j;
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18
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19 /* default */
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20 *result = MP_NO;
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21
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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22 /* ensure b > 1 */
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23 if (mp_cmp_d(b, 1uL) != MP_GT) {
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24 return MP_VAL;
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25 }
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26
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27 /* get n1 = a - 1 */
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28 if ((err = mp_init_copy(&n1, a)) != MP_OKAY) {
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29 return err;
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30 }
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31 if ((err = mp_sub_d(&n1, 1uL, &n1)) != MP_OKAY) {
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32 goto LBL_N1;
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33 }
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34
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35 /* set 2**s * r = n1 */
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36 if ((err = mp_init_copy(&r, &n1)) != MP_OKAY) {
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37 goto LBL_N1;
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38 }
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39
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40 /* count the number of least significant bits
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41 * which are zero
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42 */
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43 s = mp_cnt_lsb(&r);
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44
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45 /* now divide n - 1 by 2**s */
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46 if ((err = mp_div_2d(&r, s, &r, NULL)) != MP_OKAY) {
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47 goto LBL_R;
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48 }
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49
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50 /* compute y = b**r mod a */
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51 if ((err = mp_init(&y)) != MP_OKAY) {
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52 goto LBL_R;
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53 }
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54 if ((err = mp_exptmod(b, &r, a, &y)) != MP_OKAY) {
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55 goto LBL_Y;
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56 }
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57
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58 /* if y != 1 and y != n1 do */
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59 if ((mp_cmp_d(&y, 1uL) != MP_EQ) && (mp_cmp(&y, &n1) != MP_EQ)) {
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60 j = 1;
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61 /* while j <= s-1 and y != n1 */
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62 while ((j <= (s - 1)) && (mp_cmp(&y, &n1) != MP_EQ)) {
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63 if ((err = mp_sqrmod(&y, a, &y)) != MP_OKAY) {
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64 goto LBL_Y;
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65 }
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66
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67 /* if y == 1 then composite */
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68 if (mp_cmp_d(&y, 1uL) == MP_EQ) {
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69 goto LBL_Y;
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70 }
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71
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72 ++j;
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73 }
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74
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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75 /* if y != n1 then composite */
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76 if (mp_cmp(&y, &n1) != 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
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81 /* probably prime now */
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82 *result = MP_YES;
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83 LBL_Y:
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84 mp_clear(&y);
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85 LBL_R:
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86 mp_clear(&r);
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87 LBL_N1:
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88 mp_clear(&n1);
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89 return err;
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90 }
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91 #endif