annotate libtommath/bn_mp_prime_miller_rabin.c @ 1715:3974f087d9c0

Disallow leading lines before the ident for server (#102) Per RFC4253 4.2 clients must be able to process other lines of data before the version string, server behavior is not defined neither with MUST/SHOULD nor with MAY. If server process up to 50 lines too - it may cause too long hanging session with invalid/evil client that consume host resources and potentially may lead to DDoS on poor embedded boxes. Let's require first line from client to be version string and fail early if it's not - matches both RFC and real OpenSSH behavior.
author Vladislav Grishenko <themiron@users.noreply.github.com>
date Mon, 15 Jun 2020 18:22:18 +0500
parents 1051e4eea25a
children
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
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 /* 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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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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15 mp_int n1, y, r;
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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
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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