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Diffstat (limited to 'src/lib/libcrypto/bn/bn_mod.c')
-rw-r--r--src/lib/libcrypto/bn/bn_mod.c251
1 files changed, 225 insertions, 26 deletions
diff --git a/src/lib/libcrypto/bn/bn_mod.c b/src/lib/libcrypto/bn/bn_mod.c
index c351aac14f..5cf82480d7 100644
--- a/src/lib/libcrypto/bn/bn_mod.c
+++ b/src/lib/libcrypto/bn/bn_mod.c
@@ -1,4 +1,59 @@
1/* crypto/bn/bn_mod.c */ 1/* crypto/bn/bn_mod.c */
2/* Includes code written by Lenka Fibikova <fibikova@exp-math.uni-essen.de>
3 * for the OpenSSL project. */
4/* ====================================================================
5 * Copyright (c) 1998-2000 The OpenSSL Project. All rights reserved.
6 *
7 * Redistribution and use in source and binary forms, with or without
8 * modification, are permitted provided that the following conditions
9 * are met:
10 *
11 * 1. Redistributions of source code must retain the above copyright
12 * notice, this list of conditions and the following disclaimer.
13 *
14 * 2. Redistributions in binary form must reproduce the above copyright
15 * notice, this list of conditions and the following disclaimer in
16 * the documentation and/or other materials provided with the
17 * distribution.
18 *
19 * 3. All advertising materials mentioning features or use of this
20 * software must display the following acknowledgment:
21 * "This product includes software developed by the OpenSSL Project
22 * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
23 *
24 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
25 * endorse or promote products derived from this software without
26 * prior written permission. For written permission, please contact
27 * openssl-core@openssl.org.
28 *
29 * 5. Products derived from this software may not be called "OpenSSL"
30 * nor may "OpenSSL" appear in their names without prior written
31 * permission of the OpenSSL Project.
32 *
33 * 6. Redistributions of any form whatsoever must retain the following
34 * acknowledgment:
35 * "This product includes software developed by the OpenSSL Project
36 * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
37 *
38 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
39 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
40 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
41 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
42 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
43 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
44 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
45 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
46 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
47 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
48 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
49 * OF THE POSSIBILITY OF SUCH DAMAGE.
50 * ====================================================================
51 *
52 * This product includes cryptographic software written by Eric Young
53 * (eay@cryptsoft.com). This product includes software written by Tim
54 * Hudson (tjh@cryptsoft.com).
55 *
56 */
2/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com) 57/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
3 * All rights reserved. 58 * All rights reserved.
4 * 59 *
@@ -56,42 +111,186 @@
56 * [including the GNU Public Licence.] 111 * [including the GNU Public Licence.]
57 */ 112 */
58 113
59#include <stdio.h>
60#include "cryptlib.h" 114#include "cryptlib.h"
61#include "bn_lcl.h" 115#include "bn_lcl.h"
62 116
63/* rem != m */ 117
64int BN_mod(rem, m, d,ctx) 118#if 0 /* now just a #define */
65BIGNUM *rem; 119int BN_mod(BIGNUM *rem, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx)
66BIGNUM *m; 120 {
67BIGNUM *d; 121 return(BN_div(NULL,rem,m,d,ctx));
68BN_CTX *ctx; 122 /* note that rem->neg == m->neg (unless the remainder is zero) */
123 }
124#endif
125
126
127int BN_nnmod(BIGNUM *r, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx)
128 {
129 /* like BN_mod, but returns non-negative remainder
130 * (i.e., 0 <= r < |d| always holds) */
131
132 if (!(BN_mod(r,m,d,ctx)))
133 return 0;
134 if (!r->neg)
135 return 1;
136 /* now -|d| < r < 0, so we have to set r := r + |d| */
137 return (d->neg ? BN_sub : BN_add)(r, r, d);
138}
139
140
141int BN_mod_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx)
142 {
143 if (!BN_add(r, a, b)) return 0;
144 return BN_nnmod(r, r, m, ctx);
145 }
146
147
148/* BN_mod_add variant that may be used if both a and b are non-negative
149 * and less than m */
150int BN_mod_add_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m)
151 {
152 if (!BN_add(r, a, b)) return 0;
153 if (BN_ucmp(r, m) >= 0)
154 return BN_usub(r, r, m);
155 return 1;
156 }
157
158
159int BN_mod_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx)
160 {
161 if (!BN_sub(r, a, b)) return 0;
162 return BN_nnmod(r, r, m, ctx);
163 }
164
165
166/* BN_mod_sub variant that may be used if both a and b are non-negative
167 * and less than m */
168int BN_mod_sub_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m)
169 {
170 if (!BN_sub(r, a, b)) return 0;
171 if (r->neg)
172 return BN_add(r, r, m);
173 return 1;
174 }
175
176
177/* slow but works */
178int BN_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m,
179 BN_CTX *ctx)
69 { 180 {
70#if 0 /* The old slow way */ 181 BIGNUM *t;
71 int i,nm,nd; 182 int ret=0;
72 BIGNUM *dv; 183
184 bn_check_top(a);
185 bn_check_top(b);
186 bn_check_top(m);
187
188 BN_CTX_start(ctx);
189 if ((t = BN_CTX_get(ctx)) == NULL) goto err;
190 if (a == b)
191 { if (!BN_sqr(t,a,ctx)) goto err; }
192 else
193 { if (!BN_mul(t,a,b,ctx)) goto err; }
194 if (!BN_nnmod(r,t,m,ctx)) goto err;
195 ret=1;
196err:
197 BN_CTX_end(ctx);
198 return(ret);
199 }
73 200
74 if (BN_ucmp(m,d) < 0)
75 return((BN_copy(rem,m) == NULL)?0:1);
76 201
77 dv=ctx->bn[ctx->tos]; 202int BN_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx)
203 {
204 if (!BN_sqr(r, a, ctx)) return 0;
205 /* r->neg == 0, thus we don't need BN_nnmod */
206 return BN_mod(r, r, m, ctx);
207 }
78 208
79 if (!BN_copy(rem,m)) return(0);
80 209
81 nm=BN_num_bits(rem); 210int BN_mod_lshift1(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx)
82 nd=BN_num_bits(d); 211 {
83 if (!BN_lshift(dv,d,nm-nd)) return(0); 212 if (!BN_lshift1(r, a)) return 0;
84 for (i=nm-nd; i>=0; i--) 213 return BN_nnmod(r, r, m, ctx);
214 }
215
216
217/* BN_mod_lshift1 variant that may be used if a is non-negative
218 * and less than m */
219int BN_mod_lshift1_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *m)
220 {
221 if (!BN_lshift1(r, a)) return 0;
222 if (BN_cmp(r, m) >= 0)
223 return BN_sub(r, r, m);
224 return 1;
225 }
226
227
228int BN_mod_lshift(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m, BN_CTX *ctx)
229 {
230 BIGNUM *abs_m = NULL;
231 int ret;
232
233 if (!BN_nnmod(r, a, m, ctx)) return 0;
234
235 if (m->neg)
85 { 236 {
86 if (BN_cmp(rem,dv) >= 0) 237 abs_m = BN_dup(m);
238 if (abs_m == NULL) return 0;
239 abs_m->neg = 0;
240 }
241
242 ret = BN_mod_lshift_quick(r, r, n, (abs_m ? abs_m : m));
243
244 if (abs_m)
245 BN_free(abs_m);
246 return ret;
247 }
248
249
250/* BN_mod_lshift variant that may be used if a is non-negative
251 * and less than m */
252int BN_mod_lshift_quick(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m)
253 {
254 if (r != a)
255 {
256 if (BN_copy(r, a) == NULL) return 0;
257 }
258
259 while (n > 0)
260 {
261 int max_shift;
262
263 /* 0 < r < m */
264 max_shift = BN_num_bits(m) - BN_num_bits(r);
265 /* max_shift >= 0 */
266
267 if (max_shift < 0)
268 {
269 BNerr(BN_F_BN_MOD_LSHIFT_QUICK, BN_R_INPUT_NOT_REDUCED);
270 return 0;
271 }
272
273 if (max_shift > n)
274 max_shift = n;
275
276 if (max_shift)
277 {
278 if (!BN_lshift(r, r, max_shift)) return 0;
279 n -= max_shift;
280 }
281 else
282 {
283 if (!BN_lshift1(r, r)) return 0;
284 --n;
285 }
286
287 /* BN_num_bits(r) <= BN_num_bits(m) */
288
289 if (BN_cmp(r, m) >= 0)
87 { 290 {
88 if (!BN_sub(rem,rem,dv)) return(0); 291 if (!BN_sub(r, r, m)) return 0;
89 } 292 }
90 if (!BN_rshift1(dv,dv)) return(0);
91 } 293 }
92 return(1); 294
93#else 295 return 1;
94 return(BN_div(NULL,rem,m,d,ctx));
95#endif
96 } 296 }
97