Mercurial > dropbear
annotate libtommath/bn_mp_montgomery_reduce.c @ 1777:97ad26e397a5
Add server postauth fuzzer, wrap connect_remote()
author | Matt Johnston <matt@ucc.asn.au> |
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date | Fri, 13 Nov 2020 23:18:05 +0800 |
parents | 1051e4eea25a |
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1 #include "tommath_private.h" |
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2 #ifdef BN_MP_MONTGOMERY_REDUCE_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 /* computes xR**-1 == x (mod N) via Montgomery Reduction */ |
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7 mp_err mp_montgomery_reduce(mp_int *x, const mp_int *n, mp_digit rho) |
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8 { |
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9 int ix, digs; |
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10 mp_err err; |
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11 mp_digit mu; |
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12 |
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13 /* can the fast reduction [comba] method be used? |
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14 * |
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15 * Note that unlike in mul you're safely allowed *less* |
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16 * than the available columns [255 per default] since carries |
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17 * are fixed up in the inner loop. |
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18 */ |
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19 digs = (n->used * 2) + 1; |
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20 if ((digs < MP_WARRAY) && |
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21 (x->used <= MP_WARRAY) && |
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22 (n->used < MP_MAXFAST)) { |
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23 return s_mp_montgomery_reduce_fast(x, n, rho); |
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24 } |
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25 |
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26 /* grow the input as required */ |
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27 if (x->alloc < digs) { |
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28 if ((err = mp_grow(x, digs)) != MP_OKAY) { |
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29 return err; |
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30 } |
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31 } |
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32 x->used = digs; |
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33 |
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34 for (ix = 0; ix < n->used; ix++) { |
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35 /* mu = ai * rho mod b |
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36 * |
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37 * The value of rho must be precalculated via |
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38 * montgomery_setup() such that |
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39 * it equals -1/n0 mod b this allows the |
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40 * following inner loop to reduce the |
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41 * input one digit at a time |
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42 */ |
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43 mu = (mp_digit)(((mp_word)x->dp[ix] * (mp_word)rho) & MP_MASK); |
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44 |
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45 /* a = a + mu * m * b**i */ |
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46 { |
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47 int iy; |
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48 mp_digit *tmpn, *tmpx, u; |
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49 mp_word r; |
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50 |
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51 /* alias for digits of the modulus */ |
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52 tmpn = n->dp; |
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53 |
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54 /* alias for the digits of x [the input] */ |
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55 tmpx = x->dp + ix; |
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56 |
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57 /* set the carry to zero */ |
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58 u = 0; |
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59 |
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60 /* Multiply and add in place */ |
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61 for (iy = 0; iy < n->used; iy++) { |
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62 /* compute product and sum */ |
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63 r = ((mp_word)mu * (mp_word)*tmpn++) + |
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64 (mp_word)u + (mp_word)*tmpx; |
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65 |
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66 /* get carry */ |
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67 u = (mp_digit)(r >> (mp_word)MP_DIGIT_BIT); |
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68 |
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69 /* fix digit */ |
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70 *tmpx++ = (mp_digit)(r & (mp_word)MP_MASK); |
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71 } |
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72 /* At this point the ix'th digit of x should be zero */ |
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73 |
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74 |
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75 /* propagate carries upwards as required*/ |
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76 while (u != 0u) { |
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77 *tmpx += u; |
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78 u = *tmpx >> MP_DIGIT_BIT; |
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79 *tmpx++ &= MP_MASK; |
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80 } |
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81 } |
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82 } |
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83 |
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84 /* at this point the n.used'th least |
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85 * significant digits of x are all zero |
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86 * which means we can shift x to the |
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87 * right by n.used digits and the |
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88 * residue is unchanged. |
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89 */ |
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90 |
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91 /* x = x/b**n.used */ |
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92 mp_clamp(x); |
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93 mp_rshd(x, n->used); |
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94 |
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95 /* if x >= n then x = x - n */ |
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96 if (mp_cmp_mag(x, n) != MP_LT) { |
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97 return s_mp_sub(x, n, x); |
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98 } |
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99 |
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100 return MP_OKAY; |
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101 } |
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102 #endif |