annotate libtommath/bn_mp_prime_miller_rabin.c @ 1514:6c16a05023aa

rename some options and move some to sysoptions.h
author Matt Johnston <matt@ucc.asn.au>
date Sun, 18 Feb 2018 00:29:17 +0800
parents 8bba51a55704
children f52919ffd3b1
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
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60fc6476e044 Update to libtommath v1.0
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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 *
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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 * The library is free for all purposes without any express
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13 * guarantee it works.
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14 *
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60fc6476e044 Update to libtommath v1.0
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15 * Tom St Denis, [email protected], http://libtom.org
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16 */
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17
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18 /* Miller-Rabin test of "a" to the base of "b" as described in
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19 * HAC pp. 139 Algorithm 4.24
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20 *
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21 * Sets result to 0 if definitely composite or 1 if probably prime.
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22 * Randomly the chance of error is no more than 1/4 and often
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23 * very much lower.
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24 */
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25 int mp_prime_miller_rabin (mp_int * a, mp_int * b, int *result)
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26 {
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27 mp_int n1, y, r;
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28 int s, j, err;
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29
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30 /* default */
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31 *result = MP_NO;
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32
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33 /* ensure b > 1 */
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34 if (mp_cmp_d(b, 1) != MP_GT) {
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35 return MP_VAL;
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36 }
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37
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38 /* get n1 = a - 1 */
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39 if ((err = mp_init_copy (&n1, a)) != MP_OKAY) {
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40 return err;
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41 }
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42 if ((err = mp_sub_d (&n1, 1, &n1)) != MP_OKAY) {
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43 goto LBL_N1;
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44 }
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45
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46 /* set 2**s * r = n1 */
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47 if ((err = mp_init_copy (&r, &n1)) != MP_OKAY) {
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48 goto LBL_N1;
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49 }
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50
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51 /* count the number of least significant bits
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52 * which are zero
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53 */
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54 s = mp_cnt_lsb(&r);
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55
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56 /* now divide n - 1 by 2**s */
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57 if ((err = mp_div_2d (&r, s, &r, NULL)) != MP_OKAY) {
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58 goto LBL_R;
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59 }
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60
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61 /* compute y = b**r mod a */
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62 if ((err = mp_init (&y)) != MP_OKAY) {
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63 goto LBL_R;
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64 }
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65 if ((err = mp_exptmod (b, &r, a, &y)) != MP_OKAY) {
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66 goto LBL_Y;
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67 }
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68
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69 /* if y != 1 and y != n1 do */
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70 if ((mp_cmp_d (&y, 1) != MP_EQ) && (mp_cmp (&y, &n1) != MP_EQ)) {
284
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71 j = 1;
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72 /* while j <= s-1 and y != n1 */
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diff changeset
73 while ((j <= (s - 1)) && (mp_cmp (&y, &n1) != MP_EQ)) {
284
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74 if ((err = mp_sqrmod (&y, a, &y)) != MP_OKAY) {
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75 goto LBL_Y;
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76 }
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77
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78 /* if y == 1 then composite */
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79 if (mp_cmp_d (&y, 1) == MP_EQ) {
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80 goto LBL_Y;
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81 }
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82
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83 ++j;
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84 }
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85
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diff changeset
86 /* if y != n1 then composite */
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87 if (mp_cmp (&y, &n1) != MP_EQ) {
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88 goto LBL_Y;
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89 }
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90 }
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91
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parents:
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92 /* probably prime now */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
93 *result = MP_YES;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
94 LBL_Y:mp_clear (&y);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
95 LBL_R:mp_clear (&r);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
96 LBL_N1:mp_clear (&n1);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
97 return err;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
98 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
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
1470
8bba51a55704 Update to libtommath v1.0.1
Matt Johnston <matt@ucc.asn.au>
parents: 1436
diff changeset
101 /* ref: $Format:%D$ */
8bba51a55704 Update to libtommath v1.0.1
Matt Johnston <matt@ucc.asn.au>
parents: 1436
diff changeset
102 /* git commit: $Format:%H$ */
8bba51a55704 Update to libtommath v1.0.1
Matt Johnston <matt@ucc.asn.au>
parents: 1436
diff changeset
103 /* commit time: $Format:%ai$ */