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annotate libtommath/bn_s_mp_mul_high_digs_fast.c @ 1692:1051e4eea25a

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Update LibTomMath to 1.2.0 (#84) * update C files * update other files * update headers * update makefiles * remove mp_set/get_double() * use ltm 1.2.0 API * update ltm_desc * use bundled tommath if system-tommath is too old * XMALLOC etc. were changed to MP_MALLOC etc.
author Steffen Jaeckel <s@jaeckel.eu>
date Tue, 26 May 2020 17:36:47 +0200
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1692
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1 #include "tommath_private.h"
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2 #ifdef BN_S_MP_MUL_HIGH_DIGS_FAST_C
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3 /* LibTomMath, multiple-precision integer library -- Tom St Denis */
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4 /* SPDX-License-Identifier: Unlicense */
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5
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6 /* this is a modified version of fast_s_mul_digs that only produces
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7 * output digits *above* digs. See the comments for fast_s_mul_digs
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8 * to see how it works.
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9 *
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10 * This is used in the Barrett reduction since for one of the multiplications
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11 * only the higher digits were needed. This essentially halves the work.
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12 *
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13 * Based on Algorithm 14.12 on pp.595 of HAC.
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14 */
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15 mp_err s_mp_mul_high_digs_fast(const mp_int *a, const mp_int *b, mp_int *c, int digs)
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16 {
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17 int olduse, pa, ix, iz;
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18 mp_err err;
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19 mp_digit W[MP_WARRAY];
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20 mp_word _W;
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21
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22 /* grow the destination as required */
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23 pa = a->used + b->used;
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24 if (c->alloc < pa) {
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25 if ((err = mp_grow(c, pa)) != MP_OKAY) {
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26 return err;
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27 }
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28 }
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29
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30 /* number of output digits to produce */
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31 pa = a->used + b->used;
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32 _W = 0;
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33 for (ix = digs; ix < pa; ix++) {
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34 int tx, ty, iy;
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35 mp_digit *tmpx, *tmpy;
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36
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37 /* get offsets into the two bignums */
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38 ty = MP_MIN(b->used-1, ix);
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39 tx = ix - ty;
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40
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41 /* setup temp aliases */
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42 tmpx = a->dp + tx;
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43 tmpy = b->dp + ty;
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44
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45 /* this is the number of times the loop will iterrate, essentially its
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46 while (tx++ < a->used && ty-- >= 0) { ... }
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47 */
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48 iy = MP_MIN(a->used-tx, ty+1);
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49
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50 /* execute loop */
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51 for (iz = 0; iz < iy; iz++) {
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52 _W += (mp_word)*tmpx++ * (mp_word)*tmpy--;
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53 }
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54
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55 /* store term */
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56 W[ix] = (mp_digit)_W & MP_MASK;
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57
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58 /* make next carry */
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59 _W = _W >> (mp_word)MP_DIGIT_BIT;
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60 }
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61
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62 /* setup dest */
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63 olduse = c->used;
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64 c->used = pa;
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65
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66 {
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67 mp_digit *tmpc;
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68
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69 tmpc = c->dp + digs;
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70 for (ix = digs; ix < pa; ix++) {
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71 /* now extract the previous digit [below the carry] */
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72 *tmpc++ = W[ix];
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73 }
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74
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75 /* clear unused digits [that existed in the old copy of c] */
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76 MP_ZERO_DIGITS(tmpc, olduse - ix);
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77 }
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78 mp_clamp(c);
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79 return MP_OKAY;
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80 }
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81 #endif