Mercurial > dropbear

annotate libtommath/bn_mp_prime_fermat.c @ 1659:d32bcb5c557d

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Add Ed25519 support (#91) * Add support for Ed25519 as a public key type Ed25519 is a elliptic curve signature scheme that offers better security than ECDSA and DSA and good performance. It may be used for both user and host keys. OpenSSH key import and fuzzer are not supported yet. Initially inspired by Peter Szabo. * Add curve25519 and ed25519 fuzzers * Add import and export of Ed25519 keys
author Vladislav Grishenko <themiron@users.noreply.github.com>
date Wed, 11 Mar 2020 21:09:45 +0500
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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45
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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 */