annotate libtommath/bn_mp_reduce.c @ 1663:c795520269f9

Fallback for key gen without hard link support (#89) Add a non-atomic fallback for key generation on platforms where link() is not permitted (such as most stock Android installs) or on filesystems without hard link support (such as FAT).
author Matt Robinson <git@nerdoftheherd.com>
date Sat, 14 Mar 2020 14:37:35 +0000
parents f52919ffd3b1
children 1051e4eea25a
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
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1 #include "tommath_private.h"
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2 #ifdef BN_MP_REDUCE_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 /* reduces x mod m, assumes 0 < x < m**2, mu is
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16 * precomputed via mp_reduce_setup.
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17 * From HAC pp.604 Algorithm 14.42
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18 */
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19 int mp_reduce(mp_int *x, const mp_int *m, const mp_int *mu)
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20 {
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21 mp_int q;
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22 int res, um = m->used;
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23
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24 /* q = x */
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25 if ((res = mp_init_copy(&q, x)) != MP_OKAY) {
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26 return res;
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27 }
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28
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29 /* q1 = x / b**(k-1) */
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30 mp_rshd(&q, um - 1);
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31
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32 /* according to HAC this optimization is ok */
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33 if ((mp_digit)um > ((mp_digit)1 << (DIGIT_BIT - 1))) {
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34 if ((res = mp_mul(&q, mu, &q)) != MP_OKAY) {
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35 goto CLEANUP;
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36 }
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37 } else {
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38 #ifdef BN_S_MP_MUL_HIGH_DIGS_C
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39 if ((res = s_mp_mul_high_digs(&q, mu, &q, um)) != MP_OKAY) {
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40 goto CLEANUP;
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41 }
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42 #elif defined(BN_FAST_S_MP_MUL_HIGH_DIGS_C)
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43 if ((res = fast_s_mp_mul_high_digs(&q, mu, &q, um)) != MP_OKAY) {
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44 goto CLEANUP;
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45 }
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46 #else
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47 {
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48 res = MP_VAL;
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49 goto CLEANUP;
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50 }
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51 #endif
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52 }
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53
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54 /* q3 = q2 / b**(k+1) */
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55 mp_rshd(&q, um + 1);
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56
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57 /* x = x mod b**(k+1), quick (no division) */
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58 if ((res = mp_mod_2d(x, DIGIT_BIT * (um + 1), x)) != MP_OKAY) {
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59 goto CLEANUP;
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60 }
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61
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62 /* q = q * m mod b**(k+1), quick (no division) */
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63 if ((res = s_mp_mul_digs(&q, m, &q, um + 1)) != MP_OKAY) {
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64 goto CLEANUP;
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65 }
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66
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67 /* x = x - q */
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68 if ((res = mp_sub(x, &q, x)) != MP_OKAY) {
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69 goto CLEANUP;
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70 }
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71
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72 /* If x < 0, add b**(k+1) to it */
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73 if (mp_cmp_d(x, 0uL) == MP_LT) {
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74 mp_set(&q, 1uL);
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75 if ((res = mp_lshd(&q, um + 1)) != MP_OKAY)
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76 goto CLEANUP;
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77 if ((res = mp_add(x, &q, x)) != MP_OKAY)
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78 goto CLEANUP;
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79 }
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80
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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81 /* Back off if it's too big */
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82 while (mp_cmp(x, m) != MP_LT) {
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83 if ((res = s_mp_sub(x, m, x)) != MP_OKAY) {
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84 goto CLEANUP;
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85 }
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86 }
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87
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88 CLEANUP:
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89 mp_clear(&q);
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90
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91 return res;
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92 }
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93 #endif
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94
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95 /* ref: HEAD -> master, tag: v1.1.0 */
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96 /* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
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97 /* commit time: 2019-01-28 20:32:32 +0100 */