Mercurial > dropbear

annotate libtommath/bn_mp_prime_miller_rabin.c @ 1680:5e763ad6e2e0

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author Matt Johnston <matt@ucc.asn.au>
date Sun, 24 May 2020 13:34:19 +0800
parents f52919ffd3b1
children 1051e4eea25a
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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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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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f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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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
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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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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89 /* probably prime now */
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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;
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98 }
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99 #endif
389
5ff8218bcee9 propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e)
Matt Johnston <matt@ucc.asn.au>
parents: 284
diff changeset
100
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
101 /* ref: HEAD -> master, tag: v1.1.0 */
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
102 /* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
103 /* commit time: 2019-01-28 20:32:32 +0100 */