annotate libtommath/bn_fast_s_mp_mul_high_digs.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
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1 #include "tommath_private.h"
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2 #ifdef BN_FAST_S_MP_MUL_HIGH_DIGS_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 /* this is a modified version of fast_s_mul_digs that only produces
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16 * output digits *above* digs. See the comments for fast_s_mul_digs
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17 * to see how it works.
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18 *
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19 * This is used in the Barrett reduction since for one of the multiplications
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20 * only the higher digits were needed. This essentially halves the work.
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21 *
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22 * Based on Algorithm 14.12 on pp.595 of HAC.
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23 */
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24 int fast_s_mp_mul_high_digs(const mp_int *a, const mp_int *b, mp_int *c, int digs)
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25 {
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26 int olduse, res, pa, ix, iz;
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27 mp_digit W[MP_WARRAY];
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28 mp_word _W;
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29
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30 /* grow the destination as required */
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31 pa = a->used + b->used;
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32 if (c->alloc < pa) {
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33 if ((res = mp_grow(c, pa)) != MP_OKAY) {
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34 return res;
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35 }
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36 }
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37
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38 /* number of output digits to produce */
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39 pa = a->used + b->used;
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40 _W = 0;
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41 for (ix = digs; ix < pa; ix++) {
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42 int tx, ty, iy;
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43 mp_digit *tmpx, *tmpy;
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44
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45 /* get offsets into the two bignums */
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46 ty = MIN(b->used-1, ix);
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47 tx = ix - ty;
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48
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49 /* setup temp aliases */
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50 tmpx = a->dp + tx;
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51 tmpy = b->dp + ty;
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52
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53 /* this is the number of times the loop will iterrate, essentially its
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54 while (tx++ < a->used && ty-- >= 0) { ... }
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55 */
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56 iy = MIN(a->used-tx, ty+1);
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57
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58 /* execute loop */
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59 for (iz = 0; iz < iy; iz++) {
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60 _W += (mp_word)*tmpx++ * (mp_word)*tmpy--;
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61 }
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62
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63 /* store term */
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64 W[ix] = (mp_digit)_W & MP_MASK;
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65
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66 /* make next carry */
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67 _W = _W >> (mp_word)DIGIT_BIT;
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68 }
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69
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70 /* setup dest */
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71 olduse = c->used;
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72 c->used = pa;
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73
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74 {
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75 mp_digit *tmpc;
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76
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77 tmpc = c->dp + digs;
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78 for (ix = digs; ix < pa; ix++) {
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79 /* now extract the previous digit [below the carry] */
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80 *tmpc++ = W[ix];
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81 }
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82
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83 /* clear unused digits [that existed in the old copy of c] */
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84 for (; ix < olduse; ix++) {
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85 *tmpc++ = 0;
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86 }
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87 }
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88 mp_clamp(c);
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89 return MP_OKAY;
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90 }
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91 #endif
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92
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93 /* ref: HEAD -> master, tag: v1.1.0 */
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94 /* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
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95 /* commit time: 2019-01-28 20:32:32 +0100 */