Mercurial > dropbear
annotate libtommath/bn_mp_jacobi.c @ 1613:caa9bb54dfa0
fix #endif (#59)
author | François Perrad <francois.perrad@gadz.org> |
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date | Wed, 28 Feb 2018 15:10:14 +0100 |
parents | 8bba51a55704 |
children | f52919ffd3b1 |
rev | line source |
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1436 | 1 #include <tommath_private.h> |
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2 #ifdef BN_MP_JACOBI_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 * The library is free for all purposes without any express |
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13 * guarantee it works. |
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14 * |
1436 | 15 * Tom St Denis, [email protected], http://libtom.org |
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16 */ |
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17 |
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18 /* computes the jacobi c = (a | n) (or Legendre if n is prime) |
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19 * HAC pp. 73 Algorithm 2.149 |
1436 | 20 * HAC is wrong here, as the special case of (0 | 1) is not |
21 * handled correctly. | |
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22 */ |
1436 | 23 int mp_jacobi (mp_int * a, mp_int * n, int *c) |
284
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24 { |
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25 mp_int a1, p1; |
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26 int k, s, r, res; |
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27 mp_digit residue; |
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28 |
1436 | 29 /* if a < 0 return MP_VAL */ |
30 if (mp_isneg(a) == MP_YES) { | |
31 return MP_VAL; | |
32 } | |
33 | |
34 /* if n <= 0 return MP_VAL */ | |
35 if (mp_cmp_d(n, 0) != MP_GT) { | |
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36 return MP_VAL; |
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37 } |
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38 |
1436 | 39 /* step 1. handle case of a == 0 */ |
40 if (mp_iszero (a) == MP_YES) { | |
41 /* special case of a == 0 and n == 1 */ | |
42 if (mp_cmp_d (n, 1) == MP_EQ) { | |
43 *c = 1; | |
44 } else { | |
45 *c = 0; | |
46 } | |
47 return MP_OKAY; | |
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48 } |
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49 |
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50 /* step 2. if a == 1, return 1 */ |
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51 if (mp_cmp_d (a, 1) == MP_EQ) { |
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52 *c = 1; |
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53 return MP_OKAY; |
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54 } |
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55 |
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56 /* default */ |
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57 s = 0; |
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58 |
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59 /* step 3. write a = a1 * 2**k */ |
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60 if ((res = mp_init_copy (&a1, a)) != MP_OKAY) { |
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61 return res; |
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62 } |
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63 |
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64 if ((res = mp_init (&p1)) != MP_OKAY) { |
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65 goto LBL_A1; |
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66 } |
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67 |
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68 /* divide out larger power of two */ |
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69 k = mp_cnt_lsb(&a1); |
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70 if ((res = mp_div_2d(&a1, k, &a1, NULL)) != MP_OKAY) { |
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71 goto LBL_P1; |
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72 } |
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73 |
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74 /* step 4. if e is even set s=1 */ |
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75 if ((k & 1) == 0) { |
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76 s = 1; |
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77 } else { |
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78 /* else set s=1 if p = 1/7 (mod 8) or s=-1 if p = 3/5 (mod 8) */ |
1436 | 79 residue = n->dp[0] & 7; |
284
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80 |
1436 | 81 if ((residue == 1) || (residue == 7)) { |
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82 s = 1; |
1436 | 83 } else if ((residue == 3) || (residue == 5)) { |
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84 s = -1; |
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85 } |
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86 } |
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87 |
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88 /* step 5. if p == 3 (mod 4) *and* a1 == 3 (mod 4) then s = -s */ |
1436 | 89 if ( ((n->dp[0] & 3) == 3) && ((a1.dp[0] & 3) == 3)) { |
284
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90 s = -s; |
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91 } |
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92 |
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93 /* if a1 == 1 we're done */ |
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94 if (mp_cmp_d (&a1, 1) == MP_EQ) { |
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95 *c = s; |
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96 } else { |
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97 /* n1 = n mod a1 */ |
1436 | 98 if ((res = mp_mod (n, &a1, &p1)) != MP_OKAY) { |
284
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99 goto LBL_P1; |
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100 } |
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101 if ((res = mp_jacobi (&p1, &a1, &r)) != MP_OKAY) { |
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102 goto LBL_P1; |
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103 } |
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104 *c = s * r; |
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105 } |
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106 |
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107 /* done */ |
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108 res = MP_OKAY; |
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109 LBL_P1:mp_clear (&p1); |
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110 LBL_A1:mp_clear (&a1); |
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111 return res; |
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112 } |
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113 #endif |
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114 |
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115 /* ref: $Format:%D$ */ |
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116 /* git commit: $Format:%H$ */ |
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117 /* commit time: $Format:%ai$ */ |