Mercurial > dropbear
annotate libtommath/bn_mp_toom_sqr.c @ 1470:8bba51a55704
Update to libtommath v1.0.1
| author | Matt Johnston <matt@ucc.asn.au> |
|---|---|
| date | Thu, 08 Feb 2018 23:11:40 +0800 |
| parents | 60fc6476e044 |
| children | f52919ffd3b1 |
| rev | line source |
|---|---|
| 1436 | 1 #include <tommath_private.h> |
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2 #ifdef BN_MP_TOOM_SQR_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 /* squaring using Toom-Cook 3-way algorithm */ |
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19 int |
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20 mp_toom_sqr(mp_int *a, mp_int *b) |
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21 { |
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22 mp_int w0, w1, w2, w3, w4, tmp1, a0, a1, a2; |
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23 int res, B; |
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24 |
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25 /* init temps */ |
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26 if ((res = mp_init_multi(&w0, &w1, &w2, &w3, &w4, &a0, &a1, &a2, &tmp1, NULL)) != MP_OKAY) { |
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27 return res; |
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28 } |
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29 |
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30 /* B */ |
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31 B = a->used / 3; |
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32 |
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33 /* a = a2 * B**2 + a1 * B + a0 */ |
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34 if ((res = mp_mod_2d(a, DIGIT_BIT * B, &a0)) != MP_OKAY) { |
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35 goto ERR; |
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36 } |
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37 |
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38 if ((res = mp_copy(a, &a1)) != MP_OKAY) { |
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39 goto ERR; |
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40 } |
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41 mp_rshd(&a1, B); |
| 1436 | 42 if ((res = mp_mod_2d(&a1, DIGIT_BIT * B, &a1)) != MP_OKAY) { |
| 43 goto ERR; | |
| 44 } | |
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45 |
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46 if ((res = mp_copy(a, &a2)) != MP_OKAY) { |
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47 goto ERR; |
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48 } |
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49 mp_rshd(&a2, B*2); |
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50 |
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51 /* w0 = a0*a0 */ |
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52 if ((res = mp_sqr(&a0, &w0)) != MP_OKAY) { |
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53 goto ERR; |
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54 } |
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55 |
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56 /* w4 = a2 * a2 */ |
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57 if ((res = mp_sqr(&a2, &w4)) != MP_OKAY) { |
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58 goto ERR; |
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59 } |
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60 |
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61 /* w1 = (a2 + 2(a1 + 2a0))**2 */ |
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62 if ((res = mp_mul_2(&a0, &tmp1)) != MP_OKAY) { |
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63 goto ERR; |
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64 } |
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65 if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) { |
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66 goto ERR; |
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67 } |
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68 if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) { |
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69 goto ERR; |
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70 } |
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71 if ((res = mp_add(&tmp1, &a2, &tmp1)) != MP_OKAY) { |
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72 goto ERR; |
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73 } |
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74 |
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75 if ((res = mp_sqr(&tmp1, &w1)) != MP_OKAY) { |
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76 goto ERR; |
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77 } |
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78 |
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79 /* w3 = (a0 + 2(a1 + 2a2))**2 */ |
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80 if ((res = mp_mul_2(&a2, &tmp1)) != MP_OKAY) { |
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81 goto ERR; |
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82 } |
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83 if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) { |
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Matt Johnston <matt@ucc.asn.au>
parents:
diff
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84 goto ERR; |
|
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Matt Johnston <matt@ucc.asn.au>
parents:
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changeset
|
85 } |
|
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
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86 if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) { |
|
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
diff
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87 goto ERR; |
|
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
88 } |
|
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
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89 if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) { |
|
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
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90 goto ERR; |
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eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
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|
91 } |
|
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Matt Johnston <matt@ucc.asn.au>
parents:
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92 |
|
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
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93 if ((res = mp_sqr(&tmp1, &w3)) != MP_OKAY) { |
|
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
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94 goto ERR; |
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Matt Johnston <matt@ucc.asn.au>
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95 } |
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eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
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96 |
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eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
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97 |
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eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
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98 /* w2 = (a2 + a1 + a0)**2 */ |
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eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
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99 if ((res = mp_add(&a2, &a1, &tmp1)) != MP_OKAY) { |
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eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
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100 goto ERR; |
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Matt Johnston <matt@ucc.asn.au>
parents:
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101 } |
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Matt Johnston <matt@ucc.asn.au>
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102 if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) { |
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Matt Johnston <matt@ucc.asn.au>
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103 goto ERR; |
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Matt Johnston <matt@ucc.asn.au>
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104 } |
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eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
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105 if ((res = mp_sqr(&tmp1, &w2)) != MP_OKAY) { |
|
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
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106 goto ERR; |
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Matt Johnston <matt@ucc.asn.au>
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107 } |
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Matt Johnston <matt@ucc.asn.au>
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|
108 |
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eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
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109 /* now solve the matrix |
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Matt Johnston <matt@ucc.asn.au>
parents:
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|
110 |
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Matt Johnston <matt@ucc.asn.au>
parents:
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|
111 0 0 0 0 1 |
|
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
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|
112 1 2 4 8 16 |
|
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Matt Johnston <matt@ucc.asn.au>
parents:
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|
113 1 1 1 1 1 |
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Matt Johnston <matt@ucc.asn.au>
parents:
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|
114 16 8 4 2 1 |
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Matt Johnston <matt@ucc.asn.au>
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|
115 1 0 0 0 0 |
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Matt Johnston <matt@ucc.asn.au>
parents:
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changeset
|
116 |
|
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Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
117 using 12 subtractions, 4 shifts, 2 small divisions and 1 small multiplication. |
|
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Matt Johnston <matt@ucc.asn.au>
parents:
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|
118 */ |
|
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Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
119 |
| 1436 | 120 /* r1 - r4 */ |
| 121 if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) { | |
| 122 goto ERR; | |
| 123 } | |
| 124 /* r3 - r0 */ | |
| 125 if ((res = mp_sub(&w3, &w0, &w3)) != MP_OKAY) { | |
| 126 goto ERR; | |
| 127 } | |
| 128 /* r1/2 */ | |
| 129 if ((res = mp_div_2(&w1, &w1)) != MP_OKAY) { | |
| 130 goto ERR; | |
| 131 } | |
| 132 /* r3/2 */ | |
| 133 if ((res = mp_div_2(&w3, &w3)) != MP_OKAY) { | |
| 134 goto ERR; | |
| 135 } | |
| 136 /* r2 - r0 - r4 */ | |
| 137 if ((res = mp_sub(&w2, &w0, &w2)) != MP_OKAY) { | |
| 138 goto ERR; | |
| 139 } | |
| 140 if ((res = mp_sub(&w2, &w4, &w2)) != MP_OKAY) { | |
| 141 goto ERR; | |
| 142 } | |
| 143 /* r1 - r2 */ | |
| 144 if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { | |
| 145 goto ERR; | |
| 146 } | |
| 147 /* r3 - r2 */ | |
| 148 if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { | |
| 149 goto ERR; | |
| 150 } | |
| 151 /* r1 - 8r0 */ | |
| 152 if ((res = mp_mul_2d(&w0, 3, &tmp1)) != MP_OKAY) { | |
| 153 goto ERR; | |
| 154 } | |
| 155 if ((res = mp_sub(&w1, &tmp1, &w1)) != MP_OKAY) { | |
| 156 goto ERR; | |
| 157 } | |
| 158 /* r3 - 8r4 */ | |
| 159 if ((res = mp_mul_2d(&w4, 3, &tmp1)) != MP_OKAY) { | |
| 160 goto ERR; | |
| 161 } | |
| 162 if ((res = mp_sub(&w3, &tmp1, &w3)) != MP_OKAY) { | |
| 163 goto ERR; | |
| 164 } | |
| 165 /* 3r2 - r1 - r3 */ | |
| 166 if ((res = mp_mul_d(&w2, 3, &w2)) != MP_OKAY) { | |
| 167 goto ERR; | |
| 168 } | |
| 169 if ((res = mp_sub(&w2, &w1, &w2)) != MP_OKAY) { | |
| 170 goto ERR; | |
| 171 } | |
| 172 if ((res = mp_sub(&w2, &w3, &w2)) != MP_OKAY) { | |
| 173 goto ERR; | |
| 174 } | |
| 175 /* r1 - r2 */ | |
| 176 if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { | |
| 177 goto ERR; | |
| 178 } | |
| 179 /* r3 - r2 */ | |
| 180 if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { | |
| 181 goto ERR; | |
| 182 } | |
| 183 /* r1/3 */ | |
| 184 if ((res = mp_div_3(&w1, &w1, NULL)) != MP_OKAY) { | |
| 185 goto ERR; | |
| 186 } | |
| 187 /* r3/3 */ | |
| 188 if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) { | |
| 189 goto ERR; | |
| 190 } | |
|
284
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
191 |
| 1436 | 192 /* at this point shift W[n] by B*n */ |
| 193 if ((res = mp_lshd(&w1, 1*B)) != MP_OKAY) { | |
| 194 goto ERR; | |
| 195 } | |
| 196 if ((res = mp_lshd(&w2, 2*B)) != MP_OKAY) { | |
| 197 goto ERR; | |
| 198 } | |
| 199 if ((res = mp_lshd(&w3, 3*B)) != MP_OKAY) { | |
| 200 goto ERR; | |
| 201 } | |
| 202 if ((res = mp_lshd(&w4, 4*B)) != MP_OKAY) { | |
| 203 goto ERR; | |
| 204 } | |
|
284
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
205 |
| 1436 | 206 if ((res = mp_add(&w0, &w1, b)) != MP_OKAY) { |
| 207 goto ERR; | |
| 208 } | |
| 209 if ((res = mp_add(&w2, &w3, &tmp1)) != MP_OKAY) { | |
| 210 goto ERR; | |
| 211 } | |
| 212 if ((res = mp_add(&w4, &tmp1, &tmp1)) != MP_OKAY) { | |
| 213 goto ERR; | |
| 214 } | |
| 215 if ((res = mp_add(&tmp1, b, b)) != MP_OKAY) { | |
| 216 goto ERR; | |
| 217 } | |
|
284
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
218 |
|
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
219 ERR: |
| 1436 | 220 mp_clear_multi(&w0, &w1, &w2, &w3, &w4, &a0, &a1, &a2, &tmp1, NULL); |
| 221 return res; | |
|
284
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Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
222 } |
|
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Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
223 |
|
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Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
224 #endif |
|
389
5ff8218bcee9
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Matt Johnston <matt@ucc.asn.au>
parents:
284
diff
changeset
|
225 |
|
1470
8bba51a55704
Update to libtommath v1.0.1
Matt Johnston <matt@ucc.asn.au>
parents:
1436
diff
changeset
|
226 /* ref: $Format:%D$ */ |
|
8bba51a55704
Update to libtommath v1.0.1
Matt Johnston <matt@ucc.asn.au>
parents:
1436
diff
changeset
|
227 /* git commit: $Format:%H$ */ |
|
8bba51a55704
Update to libtommath v1.0.1
Matt Johnston <matt@ucc.asn.au>
parents:
1436
diff
changeset
|
228 /* commit time: $Format:%ai$ */ |