Mercurial > dropbear
annotate libtommath/bn_mp_exteuclid.c @ 1687:f8d8af12ac14
Make "dbclient -m help -c help" work
author | Matt Johnston <matt@ucc.asn.au> |
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date | Tue, 26 May 2020 20:15:39 +0800 |
parents | f52919ffd3b1 |
children | 1051e4eea25a |
rev | line source |
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1 #include "tommath_private.h" |
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2 #ifdef BN_MP_EXTEUCLID_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 |
1436 | 15 /* Extended euclidean algorithm of (a, b) produces |
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16 a*u1 + b*u2 = u3 |
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17 */ |
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18 int mp_exteuclid(const mp_int *a, const mp_int *b, mp_int *U1, mp_int *U2, mp_int *U3) |
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19 { |
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20 mp_int u1, u2, u3, v1, v2, v3, t1, t2, t3, q, tmp; |
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21 int err; |
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22 |
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23 if ((err = mp_init_multi(&u1, &u2, &u3, &v1, &v2, &v3, &t1, &t2, &t3, &q, &tmp, NULL)) != MP_OKAY) { |
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24 return err; |
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25 } |
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26 |
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27 /* initialize, (u1,u2,u3) = (1,0,a) */ |
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28 mp_set(&u1, 1uL); |
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29 if ((err = mp_copy(a, &u3)) != MP_OKAY) { |
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30 goto LBL_ERR; |
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31 } |
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32 |
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33 /* initialize, (v1,v2,v3) = (0,1,b) */ |
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34 mp_set(&v2, 1uL); |
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35 if ((err = mp_copy(b, &v3)) != MP_OKAY) { |
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36 goto LBL_ERR; |
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37 } |
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38 |
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39 /* loop while v3 != 0 */ |
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40 while (mp_iszero(&v3) == MP_NO) { |
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41 /* q = u3/v3 */ |
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42 if ((err = mp_div(&u3, &v3, &q, NULL)) != MP_OKAY) { |
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43 goto LBL_ERR; |
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44 } |
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45 |
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46 /* (t1,t2,t3) = (u1,u2,u3) - (v1,v2,v3)q */ |
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47 if ((err = mp_mul(&v1, &q, &tmp)) != MP_OKAY) { |
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48 goto LBL_ERR; |
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49 } |
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50 if ((err = mp_sub(&u1, &tmp, &t1)) != MP_OKAY) { |
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51 goto LBL_ERR; |
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52 } |
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53 if ((err = mp_mul(&v2, &q, &tmp)) != MP_OKAY) { |
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54 goto LBL_ERR; |
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55 } |
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56 if ((err = mp_sub(&u2, &tmp, &t2)) != MP_OKAY) { |
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57 goto LBL_ERR; |
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58 } |
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59 if ((err = mp_mul(&v3, &q, &tmp)) != MP_OKAY) { |
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60 goto LBL_ERR; |
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61 } |
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62 if ((err = mp_sub(&u3, &tmp, &t3)) != MP_OKAY) { |
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63 goto LBL_ERR; |
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64 } |
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65 |
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66 /* (u1,u2,u3) = (v1,v2,v3) */ |
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67 if ((err = mp_copy(&v1, &u1)) != MP_OKAY) { |
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68 goto LBL_ERR; |
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69 } |
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70 if ((err = mp_copy(&v2, &u2)) != MP_OKAY) { |
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71 goto LBL_ERR; |
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72 } |
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73 if ((err = mp_copy(&v3, &u3)) != MP_OKAY) { |
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74 goto LBL_ERR; |
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parents:
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75 } |
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76 |
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77 /* (v1,v2,v3) = (t1,t2,t3) */ |
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78 if ((err = mp_copy(&t1, &v1)) != MP_OKAY) { |
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79 goto LBL_ERR; |
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80 } |
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81 if ((err = mp_copy(&t2, &v2)) != MP_OKAY) { |
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82 goto LBL_ERR; |
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83 } |
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84 if ((err = mp_copy(&t3, &v3)) != MP_OKAY) { |
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85 goto LBL_ERR; |
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86 } |
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87 } |
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88 |
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89 /* make sure U3 >= 0 */ |
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90 if (u3.sign == MP_NEG) { |
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91 if ((err = mp_neg(&u1, &u1)) != MP_OKAY) { |
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92 goto LBL_ERR; |
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93 } |
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94 if ((err = mp_neg(&u2, &u2)) != MP_OKAY) { |
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95 goto LBL_ERR; |
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96 } |
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97 if ((err = mp_neg(&u3, &u3)) != MP_OKAY) { |
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98 goto LBL_ERR; |
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99 } |
284
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100 } |
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101 |
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102 /* copy result out */ |
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103 if (U1 != NULL) { |
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104 mp_exch(U1, &u1); |
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105 } |
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106 if (U2 != NULL) { |
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107 mp_exch(U2, &u2); |
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108 } |
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109 if (U3 != NULL) { |
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110 mp_exch(U3, &u3); |
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111 } |
284
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112 |
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113 err = MP_OKAY; |
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114 LBL_ERR: |
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115 mp_clear_multi(&u1, &u2, &u3, &v1, &v2, &v3, &t1, &t2, &t3, &q, &tmp, NULL); |
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116 return err; |
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117 } |
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118 #endif |
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119 |
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120 /* ref: HEAD -> master, tag: v1.1.0 */ |
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121 /* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ |
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122 /* commit time: 2019-01-28 20:32:32 +0100 */ |