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Diffstat (limited to 'src/lib/libcrypto/bn/bn_gcd.c')
-rw-r--r-- | src/lib/libcrypto/bn/bn_gcd.c | 203 |
1 files changed, 203 insertions, 0 deletions
diff --git a/src/lib/libcrypto/bn/bn_gcd.c b/src/lib/libcrypto/bn/bn_gcd.c new file mode 100644 index 0000000000..071bba3b4b --- /dev/null +++ b/src/lib/libcrypto/bn/bn_gcd.c | |||
@@ -0,0 +1,203 @@ | |||
1 | /* crypto/bn/bn_gcd.c */ | ||
2 | /* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com) | ||
3 | * All rights reserved. | ||
4 | * | ||
5 | * This package is an SSL implementation written | ||
6 | * by Eric Young (eay@cryptsoft.com). | ||
7 | * The implementation was written so as to conform with Netscapes SSL. | ||
8 | * | ||
9 | * This library is free for commercial and non-commercial use as long as | ||
10 | * the following conditions are aheared to. The following conditions | ||
11 | * apply to all code found in this distribution, be it the RC4, RSA, | ||
12 | * lhash, DES, etc., code; not just the SSL code. The SSL documentation | ||
13 | * included with this distribution is covered by the same copyright terms | ||
14 | * except that the holder is Tim Hudson (tjh@cryptsoft.com). | ||
15 | * | ||
16 | * Copyright remains Eric Young's, and as such any Copyright notices in | ||
17 | * the code are not to be removed. | ||
18 | * If this package is used in a product, Eric Young should be given attribution | ||
19 | * as the author of the parts of the library used. | ||
20 | * This can be in the form of a textual message at program startup or | ||
21 | * in documentation (online or textual) provided with the package. | ||
22 | * | ||
23 | * Redistribution and use in source and binary forms, with or without | ||
24 | * modification, are permitted provided that the following conditions | ||
25 | * are met: | ||
26 | * 1. Redistributions of source code must retain the copyright | ||
27 | * notice, this list of conditions and the following disclaimer. | ||
28 | * 2. Redistributions in binary form must reproduce the above copyright | ||
29 | * notice, this list of conditions and the following disclaimer in the | ||
30 | * documentation and/or other materials provided with the distribution. | ||
31 | * 3. All advertising materials mentioning features or use of this software | ||
32 | * must display the following acknowledgement: | ||
33 | * "This product includes cryptographic software written by | ||
34 | * Eric Young (eay@cryptsoft.com)" | ||
35 | * The word 'cryptographic' can be left out if the rouines from the library | ||
36 | * being used are not cryptographic related :-). | ||
37 | * 4. If you include any Windows specific code (or a derivative thereof) from | ||
38 | * the apps directory (application code) you must include an acknowledgement: | ||
39 | * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)" | ||
40 | * | ||
41 | * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND | ||
42 | * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE | ||
43 | * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE | ||
44 | * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE | ||
45 | * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL | ||
46 | * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS | ||
47 | * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) | ||
48 | * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT | ||
49 | * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY | ||
50 | * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF | ||
51 | * SUCH DAMAGE. | ||
52 | * | ||
53 | * The licence and distribution terms for any publically available version or | ||
54 | * derivative of this code cannot be changed. i.e. this code cannot simply be | ||
55 | * copied and put under another distribution licence | ||
56 | * [including the GNU Public Licence.] | ||
57 | */ | ||
58 | |||
59 | #include <stdio.h> | ||
60 | #include "cryptlib.h" | ||
61 | #include "bn_lcl.h" | ||
62 | |||
63 | #ifndef NOPROTO | ||
64 | static BIGNUM *euclid(BIGNUM *a, BIGNUM *b); | ||
65 | #else | ||
66 | static BIGNUM *euclid(); | ||
67 | #endif | ||
68 | |||
69 | int BN_gcd(r,in_a,in_b,ctx) | ||
70 | BIGNUM *r,*in_a,*in_b; | ||
71 | BN_CTX *ctx; | ||
72 | { | ||
73 | BIGNUM *a,*b,*t; | ||
74 | int ret=0; | ||
75 | |||
76 | a=ctx->bn[ctx->tos]; | ||
77 | b=ctx->bn[ctx->tos+1]; | ||
78 | |||
79 | if (BN_copy(a,in_a) == NULL) goto err; | ||
80 | if (BN_copy(b,in_b) == NULL) goto err; | ||
81 | |||
82 | if (BN_cmp(a,b) < 0) { t=a; a=b; b=t; } | ||
83 | t=euclid(a,b); | ||
84 | if (t == NULL) goto err; | ||
85 | |||
86 | if (BN_copy(r,t) == NULL) goto err; | ||
87 | ret=1; | ||
88 | err: | ||
89 | return(ret); | ||
90 | } | ||
91 | |||
92 | static BIGNUM *euclid(a,b) | ||
93 | BIGNUM *a,*b; | ||
94 | { | ||
95 | BIGNUM *t; | ||
96 | int shifts=0; | ||
97 | |||
98 | for (;;) | ||
99 | { | ||
100 | if (BN_is_zero(b)) | ||
101 | break; | ||
102 | |||
103 | if (BN_is_odd(a)) | ||
104 | { | ||
105 | if (BN_is_odd(b)) | ||
106 | { | ||
107 | if (!BN_sub(a,a,b)) goto err; | ||
108 | if (!BN_rshift1(a,a)) goto err; | ||
109 | if (BN_cmp(a,b) < 0) | ||
110 | { t=a; a=b; b=t; } | ||
111 | } | ||
112 | else /* a odd - b even */ | ||
113 | { | ||
114 | if (!BN_rshift1(b,b)) goto err; | ||
115 | if (BN_cmp(a,b) < 0) | ||
116 | { t=a; a=b; b=t; } | ||
117 | } | ||
118 | } | ||
119 | else /* a is even */ | ||
120 | { | ||
121 | if (BN_is_odd(b)) | ||
122 | { | ||
123 | if (!BN_rshift1(a,a)) goto err; | ||
124 | if (BN_cmp(a,b) < 0) | ||
125 | { t=a; a=b; b=t; } | ||
126 | } | ||
127 | else /* a even - b even */ | ||
128 | { | ||
129 | if (!BN_rshift1(a,a)) goto err; | ||
130 | if (!BN_rshift1(b,b)) goto err; | ||
131 | shifts++; | ||
132 | } | ||
133 | } | ||
134 | } | ||
135 | if (shifts) | ||
136 | { | ||
137 | if (!BN_lshift(a,a,shifts)) goto err; | ||
138 | } | ||
139 | return(a); | ||
140 | err: | ||
141 | return(NULL); | ||
142 | } | ||
143 | |||
144 | /* solves ax == 1 (mod n) */ | ||
145 | BIGNUM *BN_mod_inverse(a, n, ctx) | ||
146 | BIGNUM *a; | ||
147 | BIGNUM *n; | ||
148 | BN_CTX *ctx; | ||
149 | { | ||
150 | BIGNUM *A,*B,*X,*Y,*M,*D,*R; | ||
151 | BIGNUM *ret=NULL,*T; | ||
152 | int sign; | ||
153 | |||
154 | A=ctx->bn[ctx->tos]; | ||
155 | B=ctx->bn[ctx->tos+1]; | ||
156 | X=ctx->bn[ctx->tos+2]; | ||
157 | D=ctx->bn[ctx->tos+3]; | ||
158 | M=ctx->bn[ctx->tos+4]; | ||
159 | Y=ctx->bn[ctx->tos+5]; | ||
160 | ctx->tos+=6; | ||
161 | R=BN_new(); | ||
162 | if (R == NULL) goto err; | ||
163 | |||
164 | BN_zero(X); | ||
165 | BN_one(Y); | ||
166 | if (BN_copy(A,a) == NULL) goto err; | ||
167 | if (BN_copy(B,n) == NULL) goto err; | ||
168 | sign=1; | ||
169 | |||
170 | while (!BN_is_zero(B)) | ||
171 | { | ||
172 | if (!BN_div(D,M,A,B,ctx)) goto err; | ||
173 | T=A; | ||
174 | A=B; | ||
175 | B=M; | ||
176 | /* T has a struct, M does not */ | ||
177 | |||
178 | if (!BN_mul(T,D,X)) goto err; | ||
179 | if (!BN_add(T,T,Y)) goto err; | ||
180 | M=Y; | ||
181 | Y=X; | ||
182 | X=T; | ||
183 | sign= -sign; | ||
184 | } | ||
185 | if (sign < 0) | ||
186 | { | ||
187 | if (!BN_sub(Y,n,Y)) goto err; | ||
188 | } | ||
189 | |||
190 | if (BN_is_one(A)) | ||
191 | { if (!BN_mod(R,Y,n,ctx)) goto err; } | ||
192 | else | ||
193 | { | ||
194 | BNerr(BN_F_BN_MOD_INVERSE,BN_R_NO_INVERSE); | ||
195 | goto err; | ||
196 | } | ||
197 | ret=R; | ||
198 | err: | ||
199 | if ((ret == NULL) && (R != NULL)) BN_free(R); | ||
200 | ctx->tos-=6; | ||
201 | return(ret); | ||
202 | } | ||
203 | |||