Mercurial > dropbear
annotate libtommath/bn_mp_prime_fermat.c @ 1938:77bc00dcc19f default tip main master
Bump version to 2022.82
author | Matt Johnston <matt@ucc.asn.au> |
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date | Fri, 01 Apr 2022 14:43:27 +0800 |
parents | 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 /* SPDX-License-Identifier: Unlicense */ |
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5 |
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6 /* performs one Fermat test. |
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7 * |
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8 * If "a" were prime then b**a == b (mod a) since the order of |
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9 * the multiplicative sub-group would be phi(a) = a-1. That means |
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10 * it would be the same as b**(a mod (a-1)) == b**1 == b (mod a). |
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11 * |
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12 * Sets result to 1 if the congruence holds, or zero otherwise. |
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13 */ |
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14 mp_err mp_prime_fermat(const mp_int *a, const mp_int *b, mp_bool *result) |
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15 { |
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16 mp_int t; |
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17 mp_err err; |
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18 |
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19 /* default to composite */ |
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20 *result = MP_NO; |
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21 |
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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 /* init t */ |
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28 if ((err = mp_init(&t)) != MP_OKAY) { |
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29 return err; |
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30 } |
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parents:
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31 |
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32 /* compute t = b**a mod a */ |
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33 if ((err = mp_exptmod(b, a, a, &t)) != MP_OKAY) { |
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34 goto LBL_T; |
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35 } |
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36 |
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37 /* is it equal to b? */ |
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38 if (mp_cmp(&t, b) == MP_EQ) { |
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39 *result = MP_YES; |
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40 } |
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41 |
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42 err = MP_OKAY; |
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43 LBL_T: |
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44 mp_clear(&t); |
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45 return err; |
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46 } |
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47 #endif |