Mercurial > dropbear

annotate libtommath/bn_mp_prime_next_prime.c @ 1729:f091f7536aa5

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Refer to libtom license files
author Matt Johnston <matt@ucc.asn.au>
date Thu, 25 Jun 2020 23:18:16 +0800
parents 1051e4eea25a
children
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
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f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
1 #include "tommath_private.h"
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2 #ifdef BN_MP_PRIME_NEXT_PRIME_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 /* finds the next prime after the number "a" using "t" trials
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7 * of Miller-Rabin.
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8 *
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9 * bbs_style = 1 means the prime must be congruent to 3 mod 4
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10 */
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11 mp_err mp_prime_next_prime(mp_int *a, int t, int bbs_style)
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12 {
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13 int x, y;
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14 mp_ord cmp;
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15 mp_err err;
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16 mp_bool res = MP_NO;
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17 mp_digit res_tab[PRIVATE_MP_PRIME_TAB_SIZE], step, kstep;
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18 mp_int b;
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20 /* force positive */
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21 a->sign = MP_ZPOS;
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22
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23 /* simple algo if a is less than the largest prime in the table */
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24 if (mp_cmp_d(a, s_mp_prime_tab[PRIVATE_MP_PRIME_TAB_SIZE-1]) == MP_LT) {
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25 /* find which prime it is bigger than "a" */
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26 for (x = 0; x < PRIVATE_MP_PRIME_TAB_SIZE; x++) {
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27 cmp = mp_cmp_d(a, s_mp_prime_tab[x]);
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28 if (cmp == MP_EQ) {
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29 continue;
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30 }
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31 if (cmp != MP_GT) {
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32 if ((bbs_style == 1) && ((s_mp_prime_tab[x] & 3u) != 3u)) {
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33 /* try again until we get a prime congruent to 3 mod 4 */
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34 continue;
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parents: 1470
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35 } else {
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36 mp_set(a, s_mp_prime_tab[x]);
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37 return MP_OKAY;
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38 }
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39 }
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40 }
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41 /* fall through to the sieve */
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42 }
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43
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44 /* generate a prime congruent to 3 mod 4 or 1/3 mod 4? */
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45 if (bbs_style == 1) {
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46 kstep = 4;
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47 } else {
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48 kstep = 2;
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49 }
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50
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51 /* at this point we will use a combination of a sieve and Miller-Rabin */
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52
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53 if (bbs_style == 1) {
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54 /* if a mod 4 != 3 subtract the correct value to make it so */
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55 if ((a->dp[0] & 3u) != 3u) {
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56 if ((err = mp_sub_d(a, (a->dp[0] & 3u) + 1u, a)) != MP_OKAY) {
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57 return err;
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58 }
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59 }
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60 } else {
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61 if (MP_IS_EVEN(a)) {
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62 /* force odd */
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63 if ((err = mp_sub_d(a, 1uL, a)) != MP_OKAY) {
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64 return err;
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65 }
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66 }
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67 }
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68
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69 /* generate the restable */
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70 for (x = 1; x < PRIVATE_MP_PRIME_TAB_SIZE; x++) {
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71 if ((err = mp_mod_d(a, s_mp_prime_tab[x], res_tab + x)) != MP_OKAY) {
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72 return err;
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73 }
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74 }
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75
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76 /* init temp used for Miller-Rabin Testing */
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77 if ((err = mp_init(&b)) != MP_OKAY) {
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78 return err;
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79 }
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80
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81 for (;;) {
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82 /* skip to the next non-trivially divisible candidate */
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83 step = 0;
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84 do {
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85 /* y == 1 if any residue was zero [e.g. cannot be prime] */
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86 y = 0;
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87
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88 /* increase step to next candidate */
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89 step += kstep;
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90
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91 /* compute the new residue without using division */
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92 for (x = 1; x < PRIVATE_MP_PRIME_TAB_SIZE; x++) {
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93 /* add the step to each residue */
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94 res_tab[x] += kstep;
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95
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96 /* subtract the modulus [instead of using division] */
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97 if (res_tab[x] >= s_mp_prime_tab[x]) {
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98 res_tab[x] -= s_mp_prime_tab[x];
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
99 }
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
100
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
101 /* set flag if zero */
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
102 if (res_tab[x] == 0u) {
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
103 y = 1;
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
104 }
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
105 }
1692
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents: 1656
diff changeset
106 } while ((y == 1) && (step < (((mp_digit)1 << MP_DIGIT_BIT) - kstep)));
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
107
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
108 /* add the step */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
109 if ((err = mp_add_d(a, step, a)) != MP_OKAY) {
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
110 goto LBL_ERR;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
111 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
112
1692
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents: 1656
diff changeset
113 /* if didn't pass sieve and step == MP_MAX then skip test */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents: 1656
diff changeset
114 if ((y == 1) && (step >= (((mp_digit)1 << MP_DIGIT_BIT) - kstep))) {
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
115 continue;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
116 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
117
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
118 if ((err = mp_prime_is_prime(a, t, &res)) != MP_OKAY) {
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
119 goto LBL_ERR;
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
120 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
121 if (res == MP_YES) {
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
122 break;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
123 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
124 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
125
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
126 err = MP_OKAY;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
127 LBL_ERR:
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
128 mp_clear(&b);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
129 return err;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
130 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
131
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
132 #endif