Mercurial > dropbear
annotate libtommath/bn_mp_gcd.c @ 1670:aeda68938596
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author | jcmathews <jesselcmathews@yahoo.co.in> |
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date | Mon, 25 May 2020 18:32:59 +0530 |
parents | f52919ffd3b1 |
children | 1051e4eea25a |
rev | line source |
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1 #include "tommath_private.h" |
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2 #ifdef BN_MP_GCD_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 /* Greatest Common Divisor using the binary method */ |
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16 int mp_gcd(const mp_int *a, const mp_int *b, mp_int *c) |
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17 { |
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18 mp_int u, v; |
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19 int k, u_lsb, v_lsb, res; |
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20 |
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21 /* either zero than gcd is the largest */ |
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22 if (mp_iszero(a) == MP_YES) { |
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23 return mp_abs(b, c); |
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24 } |
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25 if (mp_iszero(b) == MP_YES) { |
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26 return mp_abs(a, c); |
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27 } |
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28 |
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29 /* get copies of a and b we can modify */ |
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30 if ((res = mp_init_copy(&u, a)) != MP_OKAY) { |
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31 return res; |
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32 } |
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33 |
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34 if ((res = mp_init_copy(&v, b)) != MP_OKAY) { |
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35 goto LBL_U; |
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36 } |
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37 |
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38 /* must be positive for the remainder of the algorithm */ |
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39 u.sign = v.sign = MP_ZPOS; |
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40 |
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41 /* B1. Find the common power of two for u and v */ |
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42 u_lsb = mp_cnt_lsb(&u); |
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43 v_lsb = mp_cnt_lsb(&v); |
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44 k = MIN(u_lsb, v_lsb); |
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45 |
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46 if (k > 0) { |
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47 /* divide the power of two out */ |
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48 if ((res = mp_div_2d(&u, k, &u, NULL)) != MP_OKAY) { |
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49 goto LBL_V; |
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50 } |
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51 |
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52 if ((res = mp_div_2d(&v, k, &v, NULL)) != MP_OKAY) { |
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53 goto LBL_V; |
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54 } |
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55 } |
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56 |
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57 /* divide any remaining factors of two out */ |
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58 if (u_lsb != k) { |
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59 if ((res = mp_div_2d(&u, u_lsb - k, &u, NULL)) != MP_OKAY) { |
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60 goto LBL_V; |
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61 } |
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62 } |
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63 |
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64 if (v_lsb != k) { |
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65 if ((res = mp_div_2d(&v, v_lsb - k, &v, NULL)) != MP_OKAY) { |
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66 goto LBL_V; |
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67 } |
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68 } |
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69 |
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70 while (mp_iszero(&v) == MP_NO) { |
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71 /* make sure v is the largest */ |
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72 if (mp_cmp_mag(&u, &v) == MP_GT) { |
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73 /* swap u and v to make sure v is >= u */ |
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74 mp_exch(&u, &v); |
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75 } |
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76 |
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77 /* subtract smallest from largest */ |
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78 if ((res = s_mp_sub(&v, &u, &v)) != MP_OKAY) { |
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79 goto LBL_V; |
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80 } |
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81 |
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82 /* Divide out all factors of two */ |
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83 if ((res = mp_div_2d(&v, mp_cnt_lsb(&v), &v, NULL)) != MP_OKAY) { |
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84 goto LBL_V; |
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85 } |
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86 } |
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87 |
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88 /* multiply by 2**k which we divided out at the beginning */ |
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89 if ((res = mp_mul_2d(&u, k, c)) != MP_OKAY) { |
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90 goto LBL_V; |
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91 } |
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92 c->sign = MP_ZPOS; |
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93 res = MP_OKAY; |
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94 LBL_V: |
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95 mp_clear(&u); |
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96 LBL_U: |
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97 mp_clear(&v); |
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98 return res; |
284
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99 } |
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100 #endif |
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101 |
1655
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102 /* ref: HEAD -> master, tag: v1.1.0 */ |
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103 /* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ |
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104 /* commit time: 2019-01-28 20:32:32 +0100 */ |