annotate libtommath/bn_mp_reduce.c @ 1680:5e763ad6e2e0

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author Matt Johnston <matt@ucc.asn.au>
date Sun, 24 May 2020 13:34:19 +0800
parents f52919ffd3b1
children 1051e4eea25a
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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 */