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annotate libtommath/bn_mp_exptmod.c @ 1661:6a6a0bac52f4

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author Matt Johnston <matt@ucc.asn.au>
date Sat, 14 Mar 2020 23:26:37 +0800
parents f52919ffd3b1
children 1051e4eea25a
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1 #include "tommath_private.h"
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2 #ifdef BN_MP_EXPTMOD_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
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16 /* this is a shell function that calls either the normal or Montgomery
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17 * exptmod functions. Originally the call to the montgomery code was
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18 * embedded in the normal function but that wasted alot of stack space
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19 * for nothing (since 99% of the time the Montgomery code would be called)
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20 */
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21 int mp_exptmod(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y)
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22 {
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23 int dr;
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24
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25 /* modulus P must be positive */
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26 if (P->sign == MP_NEG) {
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27 return MP_VAL;
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28 }
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29
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30 /* if exponent X is negative we have to recurse */
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31 if (X->sign == MP_NEG) {
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32 #ifdef BN_MP_INVMOD_C
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33 mp_int tmpG, tmpX;
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34 int err;
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35
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36 /* first compute 1/G mod P */
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37 if ((err = mp_init(&tmpG)) != MP_OKAY) {
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38 return err;
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39 }
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40 if ((err = mp_invmod(G, P, &tmpG)) != MP_OKAY) {
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41 mp_clear(&tmpG);
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42 return err;
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43 }
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44
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45 /* now get |X| */
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46 if ((err = mp_init(&tmpX)) != MP_OKAY) {
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47 mp_clear(&tmpG);
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48 return err;
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49 }
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50 if ((err = mp_abs(X, &tmpX)) != MP_OKAY) {
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51 mp_clear_multi(&tmpG, &tmpX, NULL);
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52 return err;
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53 }
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54
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55 /* and now compute (1/G)**|X| instead of G**X [X < 0] */
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56 err = mp_exptmod(&tmpG, &tmpX, P, Y);
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57 mp_clear_multi(&tmpG, &tmpX, NULL);
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58 return err;
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59 #else
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60 /* no invmod */
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61 return MP_VAL;
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62 #endif
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63 }
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64
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65 /* modified diminished radix reduction */
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66 #if defined(BN_MP_REDUCE_IS_2K_L_C) && defined(BN_MP_REDUCE_2K_L_C) && defined(BN_S_MP_EXPTMOD_C)
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67 if (mp_reduce_is_2k_l(P) == MP_YES) {
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68 return s_mp_exptmod(G, X, P, Y, 1);
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69 }
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70 #endif
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71
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72 #ifdef BN_MP_DR_IS_MODULUS_C
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73 /* is it a DR modulus? */
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74 dr = mp_dr_is_modulus(P);
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75 #else
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76 /* default to no */
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77 dr = 0;
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78 #endif
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79
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80 #ifdef BN_MP_REDUCE_IS_2K_C
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81 /* if not, is it a unrestricted DR modulus? */
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82 if (dr == 0) {
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83 dr = mp_reduce_is_2k(P) << 1;
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84 }
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85 #endif
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86
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87 /* if the modulus is odd or dr != 0 use the montgomery method */
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88 #ifdef BN_MP_EXPTMOD_FAST_C
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89 if ((mp_isodd(P) == MP_YES) || (dr != 0)) {
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90 return mp_exptmod_fast(G, X, P, Y, dr);
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91 } else {
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92 #endif
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93 #ifdef BN_S_MP_EXPTMOD_C
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94 /* otherwise use the generic Barrett reduction technique */
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95 return s_mp_exptmod(G, X, P, Y, 0);
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96 #else
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97 /* no exptmod for evens */
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98 return MP_VAL;
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99 #endif
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100 #ifdef BN_MP_EXPTMOD_FAST_C
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101 }
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102 #endif
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103 }
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104
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105 #endif
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106
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107 /* ref: HEAD -> master, tag: v1.1.0 */
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108 /* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
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109 /* commit time: 2019-01-28 20:32:32 +0100 */