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annotate libtommath/bn_mp_reduce.c @ 1659:d32bcb5c557d

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Add Ed25519 support (#91) * Add support for Ed25519 as a public key type Ed25519 is a elliptic curve signature scheme that offers better security than ECDSA and DSA and good performance. It may be used for both user and host keys. OpenSSH key import and fuzzer are not supported yet. Initially inspired by Peter Szabo. * Add curve25519 and ed25519 fuzzers * Add import and export of Ed25519 keys
author Vladislav Grishenko <themiron@users.noreply.github.com>
date Wed, 11 Mar 2020 21:09:45 +0500
parents f52919ffd3b1
children 1051e4eea25a
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
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diff changeset
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
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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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parents: 1470
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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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parents: 1470
diff changeset
97 /* commit time: 2019-01-28 20:32:32 +0100 */