Mercurial > dropbear
annotate libtommath/bn_mp_reduce.c @ 1719:25b0ce1936c4
changelog for 2020.79
author | Matt Johnston <matt@ucc.asn.au> |
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date | Mon, 15 Jun 2020 23:36:14 +0800 |
parents | 1051e4eea25a |
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1 #include "tommath_private.h" |
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2 #ifdef BN_MP_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 |
1436 | 6 /* reduces x mod m, assumes 0 < x < m**2, mu is |
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7 * precomputed via mp_reduce_setup. |
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8 * From HAC pp.604 Algorithm 14.42 |
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9 */ |
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10 mp_err mp_reduce(mp_int *x, const mp_int *m, const mp_int *mu) |
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11 { |
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12 mp_int q; |
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13 mp_err err; |
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14 int um = m->used; |
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15 |
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16 /* q = x */ |
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17 if ((err = mp_init_copy(&q, x)) != MP_OKAY) { |
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18 return err; |
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19 } |
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20 |
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21 /* q1 = x / b**(k-1) */ |
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22 mp_rshd(&q, um - 1); |
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23 |
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24 /* according to HAC this optimization is ok */ |
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25 if ((mp_digit)um > ((mp_digit)1 << (MP_DIGIT_BIT - 1))) { |
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26 if ((err = mp_mul(&q, mu, &q)) != MP_OKAY) { |
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27 goto CLEANUP; |
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28 } |
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29 } else if (MP_HAS(S_MP_MUL_HIGH_DIGS)) { |
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30 if ((err = s_mp_mul_high_digs(&q, mu, &q, um)) != MP_OKAY) { |
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31 goto CLEANUP; |
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32 } |
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33 } else if (MP_HAS(S_MP_MUL_HIGH_DIGS_FAST)) { |
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34 if ((err = s_mp_mul_high_digs_fast(&q, mu, &q, um)) != MP_OKAY) { |
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35 goto CLEANUP; |
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36 } |
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37 } else { |
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38 err = MP_VAL; |
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39 goto CLEANUP; |
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40 } |
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41 |
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42 /* q3 = q2 / b**(k+1) */ |
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43 mp_rshd(&q, um + 1); |
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44 |
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45 /* x = x mod b**(k+1), quick (no division) */ |
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46 if ((err = mp_mod_2d(x, MP_DIGIT_BIT * (um + 1), x)) != MP_OKAY) { |
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47 goto CLEANUP; |
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48 } |
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49 |
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50 /* q = q * m mod b**(k+1), quick (no division) */ |
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51 if ((err = s_mp_mul_digs(&q, m, &q, um + 1)) != MP_OKAY) { |
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52 goto CLEANUP; |
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53 } |
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54 |
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55 /* x = x - q */ |
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56 if ((err = mp_sub(x, &q, x)) != MP_OKAY) { |
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57 goto CLEANUP; |
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58 } |
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59 |
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60 /* If x < 0, add b**(k+1) to it */ |
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61 if (mp_cmp_d(x, 0uL) == MP_LT) { |
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62 mp_set(&q, 1uL); |
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63 if ((err = mp_lshd(&q, um + 1)) != MP_OKAY) { |
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64 goto CLEANUP; |
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65 } |
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66 if ((err = mp_add(x, &q, x)) != MP_OKAY) { |
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67 goto CLEANUP; |
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68 } |
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69 } |
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70 |
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71 /* Back off if it's too big */ |
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72 while (mp_cmp(x, m) != MP_LT) { |
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73 if ((err = s_mp_sub(x, m, x)) != MP_OKAY) { |
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74 goto CLEANUP; |
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75 } |
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76 } |
1436 | 77 |
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78 CLEANUP: |
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79 mp_clear(&q); |
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80 |
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81 return err; |
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82 } |
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83 #endif |