annotate libtommath/bn_mp_prime_fermat.c @ 1665:7c17995bcdfb

Improve address logging on early exit messages (#83) Change 'Early exit' and 'Exit before auth' messages to include the IP address & port as part of the message. This allows log scanning utilities such as 'fail2ban' to obtain the offending IP address as part of the failure event instead of extracting the PID from the message and then scanning the log again for match 'child connection from' messages Signed-off-by: Kevin Darbyshire-Bryant <[email protected]>
author Kevin Darbyshire-Bryant <6500011+ldir-EDB0@users.noreply.github.com>
date Wed, 18 Mar 2020 15:28:56 +0000
parents f52919ffd3b1
children 1051e4eea25a
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1 #include "tommath_private.h"
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2 #ifdef BN_MP_PRIME_FERMAT_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 /* performs one Fermat test.
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16 *
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17 * If "a" were prime then b**a == b (mod a) since the order of
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18 * the multiplicative sub-group would be phi(a) = a-1. That means
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19 * it would be the same as b**(a mod (a-1)) == b**1 == b (mod a).
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20 *
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21 * Sets result to 1 if the congruence holds, or zero otherwise.
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22 */
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23 int mp_prime_fermat(const mp_int *a, const mp_int *b, int *result)
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24 {
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25 mp_int t;
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26 int err;
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27
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28 /* default to composite */
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29 *result = MP_NO;
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30
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31 /* ensure b > 1 */
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32 if (mp_cmp_d(b, 1uL) != MP_GT) {
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33 return MP_VAL;
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34 }
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35
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36 /* init t */
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37 if ((err = mp_init(&t)) != MP_OKAY) {
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38 return err;
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39 }
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40
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41 /* compute t = b**a mod a */
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42 if ((err = mp_exptmod(b, a, a, &t)) != MP_OKAY) {
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43 goto LBL_T;
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44 }
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46 /* is it equal to b? */
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47 if (mp_cmp(&t, b) == MP_EQ) {
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48 *result = MP_YES;
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49 }
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50
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51 err = MP_OKAY;
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52 LBL_T:
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53 mp_clear(&t);
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54 return err;
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55 }
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56 #endif
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57
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58 /* ref: HEAD -> master, tag: v1.1.0 */
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59 /* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
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60 /* commit time: 2019-01-28 20:32:32 +0100 */