Mercurial > dropbear
annotate libtommath/bn_mp_toom_sqr.c @ 1596:60fceff95858
workaround memory sanitizer FD_ZERO false positives
author | Matt Johnston <matt@ucc.asn.au> |
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date | Tue, 06 Mar 2018 21:51:51 +0800 |
parents | 8bba51a55704 |
children | f52919ffd3b1 |
rev | line source |
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1436 | 1 #include <tommath_private.h> |
284
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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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84 goto ERR; |
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85 } |
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86 if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) { |
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87 goto ERR; |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
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88 } |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
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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>
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90 goto ERR; |
eed26cff980b
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91 } |
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Matt Johnston <matt@ucc.asn.au>
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92 |
eed26cff980b
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93 if ((res = mp_sqr(&tmp1, &w3)) != MP_OKAY) { |
eed26cff980b
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94 goto ERR; |
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95 } |
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96 |
eed26cff980b
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97 |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
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98 /* w2 = (a2 + a1 + a0)**2 */ |
eed26cff980b
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99 if ((res = mp_add(&a2, &a1, &tmp1)) != MP_OKAY) { |
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100 goto ERR; |
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101 } |
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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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Matt Johnston <matt@ucc.asn.au>
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105 if ((res = mp_sqr(&tmp1, &w2)) != MP_OKAY) { |
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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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108 |
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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>
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110 |
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Matt Johnston <matt@ucc.asn.au>
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111 0 0 0 0 1 |
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Matt Johnston <matt@ucc.asn.au>
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112 1 2 4 8 16 |
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Matt Johnston <matt@ucc.asn.au>
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113 1 1 1 1 1 |
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Matt Johnston <matt@ucc.asn.au>
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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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116 |
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117 using 12 subtractions, 4 shifts, 2 small divisions and 1 small multiplication. |
eed26cff980b
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118 */ |
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Matt Johnston <matt@ucc.asn.au>
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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
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Matt Johnston <matt@ucc.asn.au>
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|
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>
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|
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
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Matt Johnston <matt@ucc.asn.au>
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218 |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
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|
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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222 } |
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Matt Johnston <matt@ucc.asn.au>
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223 |
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Matt Johnston <matt@ucc.asn.au>
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224 #endif |
389
5ff8218bcee9
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Matt Johnston <matt@ucc.asn.au>
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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: $Format:%ai$ */ |