Mercurial > dropbear
annotate libtommath/bn_mp_toom_sqr.c @ 1653:76189c9ffea2
External Public-Key Authentication API (#72)
* Implemented dynamic loading of an external plug-in shared library to delegate public key authentication
* Moved conditional compilation of the plugin infrastructure into the configure.ac script to be able to add -ldl to dropbear build only when the flag is enabled
* Added tags file to the ignore list
* Updated API to have the constructor to return function pointers in the pliugin instance. Added support for passing user name to the checkpubkey function. Added options to the session returned by the plugin and have dropbear to parse and process them
* Added -rdynamic to the linker flags when EPKA is enabled
* Changed the API to pass a previously created session to the checkPubKey function (created during preauth)
* Added documentation to the API
* Added parameter addrstring to plugin creation function
* Modified the API to retrieve the auth options. Instead of having them as field of the EPKASession struct, they are stored internally (plugin-dependent) in the plugin/session and retrieved through a pointer to a function (in the session)
* Changed option string to be a simple char * instead of unsigned char *
author | fabriziobertocci <fabriziobertocci@gmail.com> |
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date | Wed, 15 May 2019 09:43:57 -0400 |
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_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; |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
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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>
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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 } |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
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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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94 goto ERR; |
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Matt Johnston <matt@ucc.asn.au>
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95 } |
eed26cff980b
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96 |
eed26cff980b
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97 |
eed26cff980b
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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) { |
eed26cff980b
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100 goto ERR; |
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101 } |
eed26cff980b
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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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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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108 |
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Matt Johnston <matt@ucc.asn.au>
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109 /* now solve the matrix |
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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 |
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Matt Johnston <matt@ucc.asn.au>
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112 1 2 4 8 16 |
eed26cff980b
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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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Matt Johnston <matt@ucc.asn.au>
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116 |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
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117 using 12 subtractions, 4 shifts, 2 small divisions and 1 small multiplication. |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
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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>
parents:
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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>
parents:
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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:
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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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Matt Johnston <matt@ucc.asn.au>
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|
222 } |
eed26cff980b
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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: $Format:%ai$ */ |