Mercurial > dropbear
annotate libtommath/bn_mp_prime_miller_rabin.c @ 1910:54a85bbe5017
Fix dropbearconvert for dropbearmulti test
author | Matt Johnston <matt@ucc.asn.au> |
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date | Tue, 29 Mar 2022 22:36:30 +0800 |
parents | 1051e4eea25a |
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rev | line source |
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1 #include "tommath_private.h" |
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2 #ifdef BN_MP_PRIME_MILLER_RABIN_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 /* Miller-Rabin test of "a" to the base of "b" as described in |
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7 * HAC pp. 139 Algorithm 4.24 |
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8 * |
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9 * Sets result to 0 if definitely composite or 1 if probably prime. |
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10 * Randomly the chance of error is no more than 1/4 and often |
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11 * very much lower. |
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12 */ |
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13 mp_err mp_prime_miller_rabin(const mp_int *a, const mp_int *b, mp_bool *result) |
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14 { |
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15 mp_int n1, y, r; |
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16 mp_err err; |
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17 int s, j; |
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18 |
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19 /* default */ |
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20 *result = MP_NO; |
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21 |
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22 /* ensure b > 1 */ |
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23 if (mp_cmp_d(b, 1uL) != MP_GT) { |
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24 return MP_VAL; |
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25 } |
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26 |
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27 /* get n1 = a - 1 */ |
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28 if ((err = mp_init_copy(&n1, a)) != MP_OKAY) { |
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29 return err; |
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30 } |
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31 if ((err = mp_sub_d(&n1, 1uL, &n1)) != MP_OKAY) { |
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32 goto LBL_N1; |
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33 } |
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34 |
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35 /* set 2**s * r = n1 */ |
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36 if ((err = mp_init_copy(&r, &n1)) != MP_OKAY) { |
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37 goto LBL_N1; |
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38 } |
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39 |
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40 /* count the number of least significant bits |
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41 * which are zero |
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42 */ |
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43 s = mp_cnt_lsb(&r); |
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44 |
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45 /* now divide n - 1 by 2**s */ |
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46 if ((err = mp_div_2d(&r, s, &r, NULL)) != MP_OKAY) { |
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47 goto LBL_R; |
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48 } |
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49 |
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50 /* compute y = b**r mod a */ |
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51 if ((err = mp_init(&y)) != MP_OKAY) { |
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52 goto LBL_R; |
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53 } |
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54 if ((err = mp_exptmod(b, &r, a, &y)) != MP_OKAY) { |
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55 goto LBL_Y; |
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56 } |
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57 |
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58 /* if y != 1 and y != n1 do */ |
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59 if ((mp_cmp_d(&y, 1uL) != MP_EQ) && (mp_cmp(&y, &n1) != MP_EQ)) { |
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60 j = 1; |
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61 /* while j <= s-1 and y != n1 */ |
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62 while ((j <= (s - 1)) && (mp_cmp(&y, &n1) != MP_EQ)) { |
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63 if ((err = mp_sqrmod(&y, a, &y)) != MP_OKAY) { |
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64 goto LBL_Y; |
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65 } |
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66 |
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67 /* if y == 1 then composite */ |
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68 if (mp_cmp_d(&y, 1uL) == MP_EQ) { |
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69 goto LBL_Y; |
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70 } |
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71 |
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72 ++j; |
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73 } |
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74 |
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75 /* if y != n1 then composite */ |
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76 if (mp_cmp(&y, &n1) != MP_EQ) { |
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77 goto LBL_Y; |
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78 } |
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79 } |
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80 |
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81 /* probably prime now */ |
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82 *result = MP_YES; |
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83 LBL_Y: |
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84 mp_clear(&y); |
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85 LBL_R: |
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86 mp_clear(&r); |
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87 LBL_N1: |
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88 mp_clear(&n1); |
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89 return err; |
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90 } |
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propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
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91 #endif |