Mercurial > dropbear
annotate libtommath/bn_s_mp_sqr_fast.c @ 1920:1489449eceb1
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This is necessary on NFS with squash root.
Based on work from Chris Dragan
This commit also tidies some trailing whitespace.
Fixes github pull #107
author | Matt Johnston <matt@ucc.asn.au> |
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date | Wed, 30 Mar 2022 12:56:09 +0800 |
parents | 1051e4eea25a |
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1 #include "tommath_private.h" |
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2 #ifdef BN_S_MP_SQR_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 /* the jist of squaring... |
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7 * you do like mult except the offset of the tmpx [one that |
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8 * starts closer to zero] can't equal the offset of tmpy. |
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9 * So basically you set up iy like before then you min it with |
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10 * (ty-tx) so that it never happens. You double all those |
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11 * you add in the inner loop |
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12 |
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13 After that loop you do the squares and add them in. |
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14 */ |
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15 |
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16 mp_err s_mp_sqr_fast(const mp_int *a, mp_int *b) |
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17 { |
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18 int olduse, pa, ix, iz; |
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19 mp_digit W[MP_WARRAY], *tmpx; |
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20 mp_word W1; |
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21 mp_err err; |
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22 |
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23 /* grow the destination as required */ |
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24 pa = a->used + a->used; |
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25 if (b->alloc < pa) { |
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26 if ((err = mp_grow(b, pa)) != MP_OKAY) { |
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27 return err; |
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28 } |
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29 } |
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30 |
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31 /* number of output digits to produce */ |
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32 W1 = 0; |
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33 for (ix = 0; ix < pa; ix++) { |
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34 int tx, ty, iy; |
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35 mp_word _W; |
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36 mp_digit *tmpy; |
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37 |
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38 /* clear counter */ |
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39 _W = 0; |
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40 |
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41 /* get offsets into the two bignums */ |
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42 ty = MP_MIN(a->used-1, ix); |
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43 tx = ix - ty; |
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44 |
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45 /* setup temp aliases */ |
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46 tmpx = a->dp + tx; |
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47 tmpy = a->dp + ty; |
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48 |
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49 /* this is the number of times the loop will iterrate, essentially |
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50 while (tx++ < a->used && ty-- >= 0) { ... } |
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51 */ |
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52 iy = MP_MIN(a->used-tx, ty+1); |
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53 |
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54 /* now for squaring tx can never equal ty |
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55 * we halve the distance since they approach at a rate of 2x |
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56 * and we have to round because odd cases need to be executed |
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57 */ |
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58 iy = MP_MIN(iy, ((ty-tx)+1)>>1); |
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59 |
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60 /* execute loop */ |
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61 for (iz = 0; iz < iy; iz++) { |
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62 _W += (mp_word)*tmpx++ * (mp_word)*tmpy--; |
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63 } |
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64 |
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65 /* double the inner product and add carry */ |
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66 _W = _W + _W + W1; |
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67 |
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68 /* even columns have the square term in them */ |
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69 if (((unsigned)ix & 1u) == 0u) { |
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70 _W += (mp_word)a->dp[ix>>1] * (mp_word)a->dp[ix>>1]; |
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71 } |
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72 |
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73 /* store it */ |
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74 W[ix] = (mp_digit)_W & MP_MASK; |
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75 |
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76 /* make next carry */ |
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77 W1 = _W >> (mp_word)MP_DIGIT_BIT; |
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78 } |
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79 |
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80 /* setup dest */ |
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81 olduse = b->used; |
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82 b->used = a->used+a->used; |
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83 |
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84 { |
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85 mp_digit *tmpb; |
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86 tmpb = b->dp; |
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87 for (ix = 0; ix < pa; ix++) { |
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88 *tmpb++ = W[ix] & MP_MASK; |
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89 } |
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90 |
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91 /* clear unused digits [that existed in the old copy of c] */ |
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92 MP_ZERO_DIGITS(tmpb, olduse - ix); |
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93 } |
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94 mp_clamp(b); |
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95 return MP_OKAY; |
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96 } |
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97 #endif |