annotate libtommath/bn_fast_s_mp_sqr.c @ 1682:a53e7d2d60be

rsa-sha256 for ssh-agent
author Matt Johnston <matt@ucc.asn.au>
date Mon, 25 May 2020 20:23:02 +0800
parents f52919ffd3b1
children
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1 #include "tommath_private.h"
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2 #ifdef BN_FAST_S_MP_SQR_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 /* the jist of squaring...
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16 * you do like mult except the offset of the tmpx [one that
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17 * starts closer to zero] can't equal the offset of tmpy.
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18 * So basically you set up iy like before then you min it with
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19 * (ty-tx) so that it never happens. You double all those
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20 * you add in the inner loop
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21
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22 After that loop you do the squares and add them in.
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23 */
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24
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25 int fast_s_mp_sqr(const mp_int *a, mp_int *b)
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26 {
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27 int olduse, res, pa, ix, iz;
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28 mp_digit W[MP_WARRAY], *tmpx;
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29 mp_word W1;
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30
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31 /* grow the destination as required */
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32 pa = a->used + a->used;
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33 if (b->alloc < pa) {
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34 if ((res = mp_grow(b, pa)) != MP_OKAY) {
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35 return res;
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36 }
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37 }
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38
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39 /* number of output digits to produce */
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40 W1 = 0;
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41 for (ix = 0; ix < pa; ix++) {
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42 int tx, ty, iy;
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43 mp_word _W;
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44 mp_digit *tmpy;
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45
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46 /* clear counter */
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47 _W = 0;
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48
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49 /* get offsets into the two bignums */
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50 ty = MIN(a->used-1, ix);
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51 tx = ix - ty;
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52
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53 /* setup temp aliases */
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54 tmpx = a->dp + tx;
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55 tmpy = a->dp + ty;
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56
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57 /* this is the number of times the loop will iterrate, essentially
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58 while (tx++ < a->used && ty-- >= 0) { ... }
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59 */
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60 iy = MIN(a->used-tx, ty+1);
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61
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62 /* now for squaring tx can never equal ty
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63 * we halve the distance since they approach at a rate of 2x
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64 * and we have to round because odd cases need to be executed
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65 */
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66 iy = MIN(iy, ((ty-tx)+1)>>1);
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67
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68 /* execute loop */
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69 for (iz = 0; iz < iy; iz++) {
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70 _W += (mp_word)*tmpx++ * (mp_word)*tmpy--;
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71 }
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72
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73 /* double the inner product and add carry */
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74 _W = _W + _W + W1;
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75
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76 /* even columns have the square term in them */
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77 if (((unsigned)ix & 1u) == 0u) {
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78 _W += (mp_word)a->dp[ix>>1] * (mp_word)a->dp[ix>>1];
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79 }
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80
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81 /* store it */
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82 W[ix] = _W & MP_MASK;
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83
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84 /* make next carry */
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85 W1 = _W >> (mp_word)DIGIT_BIT;
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86 }
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87
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88 /* setup dest */
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89 olduse = b->used;
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90 b->used = a->used+a->used;
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91
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92 {
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93 mp_digit *tmpb;
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94 tmpb = b->dp;
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95 for (ix = 0; ix < pa; ix++) {
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96 *tmpb++ = W[ix] & MP_MASK;
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parents: 1470
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97 }
284
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98
1655
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99 /* clear unused digits [that existed in the old copy of c] */
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parents: 1470
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100 for (; ix < olduse; ix++) {
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101 *tmpb++ = 0;
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parents: 1470
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102 }
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parents: 1470
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103 }
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parents: 1470
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104 mp_clamp(b);
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105 return MP_OKAY;
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106 }
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107 #endif
389
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108
1655
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109 /* ref: HEAD -> master, tag: v1.1.0 */
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110 /* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
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parents: 1470
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111 /* commit time: 2019-01-28 20:32:32 +0100 */