Mercurial > dropbear

annotate libtommath/bn_mp_prime_next_prime.c @ 1861:2b3a8026a6ce

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Add re-exec for server This allows ASLR to re-randomize the address space for every connection, preventing some vulnerabilities from being exploitable by repeated probing. Overhead (memory and time) is yet to be confirmed. At present this is only enabled on Linux. Other BSD platforms with fexecve() would probably also work though have not been tested.
author Matt Johnston <matt@ucc.asn.au>
date Sun, 30 Jan 2022 10:14:56 +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)
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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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19
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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]) {
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents: 1656
diff changeset
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