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author | ryker <> | 1998-10-05 20:13:14 +0000 |
---|---|---|
committer | ryker <> | 1998-10-05 20:13:14 +0000 |
commit | aeeae06a79815dc190061534d47236cec09f9e32 (patch) | |
tree | 851692b9c2f9c04f077666855641900f19fdb217 /src/lib/libcrypto/bn/bn_prime.c | |
parent | a4f79641824cbf9f60ca9d1168d1fcc46717a82a (diff) | |
download | openbsd-aeeae06a79815dc190061534d47236cec09f9e32.tar.gz openbsd-aeeae06a79815dc190061534d47236cec09f9e32.tar.bz2 openbsd-aeeae06a79815dc190061534d47236cec09f9e32.zip |
Import of SSLeay-0.9.0b with RSA and IDEA stubbed + OpenBSD build
functionality for shared libs.
Note that routines such as sslv2_init and friends that use RSA will
not work due to lack of RSA in this library.
Needs documentation and help from ports for easy upgrade to full
functionality where legally possible.
Diffstat (limited to 'src/lib/libcrypto/bn/bn_prime.c')
-rw-r--r-- | src/lib/libcrypto/bn/bn_prime.c | 473 |
1 files changed, 473 insertions, 0 deletions
diff --git a/src/lib/libcrypto/bn/bn_prime.c b/src/lib/libcrypto/bn/bn_prime.c new file mode 100644 index 0000000000..0c85f70b59 --- /dev/null +++ b/src/lib/libcrypto/bn/bn_prime.c | |||
@@ -0,0 +1,473 @@ | |||
1 | /* crypto/bn/bn_prime.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 <time.h> | ||
61 | #include "cryptlib.h" | ||
62 | #include "bn_lcl.h" | ||
63 | #include "rand.h" | ||
64 | |||
65 | /* The quick seive algorithm approach to weeding out primes is | ||
66 | * Philip Zimmermann's, as implemented in PGP. I have had a read of | ||
67 | * his comments and implemented my own version. | ||
68 | */ | ||
69 | #include "bn_prime.h" | ||
70 | |||
71 | #ifndef NOPROTO | ||
72 | static int witness(BIGNUM *a, BIGNUM *n, BN_CTX *ctx,BN_CTX *ctx2, | ||
73 | BN_MONT_CTX *mont); | ||
74 | static int probable_prime(BIGNUM *rnd, int bits); | ||
75 | static int probable_prime_dh(BIGNUM *rnd, int bits, | ||
76 | BIGNUM *add, BIGNUM *rem, BN_CTX *ctx); | ||
77 | static int probable_prime_dh_strong(BIGNUM *rnd, int bits, | ||
78 | BIGNUM *add, BIGNUM *rem, BN_CTX *ctx); | ||
79 | #else | ||
80 | static int witness(); | ||
81 | static int probable_prime(); | ||
82 | static int probable_prime_dh(); | ||
83 | static int probable_prime_dh_strong(); | ||
84 | #endif | ||
85 | |||
86 | BIGNUM *BN_generate_prime(bits,strong,add,rem,callback,cb_arg) | ||
87 | int bits; | ||
88 | int strong; | ||
89 | BIGNUM *add; | ||
90 | BIGNUM *rem; | ||
91 | void (*callback)(P_I_I_P); | ||
92 | char *cb_arg; | ||
93 | { | ||
94 | BIGNUM *rnd=NULL; | ||
95 | BIGNUM *ret=NULL; | ||
96 | BIGNUM *t=NULL; | ||
97 | int i,j,c1=0; | ||
98 | BN_CTX *ctx; | ||
99 | |||
100 | ctx=BN_CTX_new(); | ||
101 | if (ctx == NULL) goto err; | ||
102 | if ((rnd=BN_new()) == NULL) goto err; | ||
103 | if (strong) | ||
104 | if ((t=BN_new()) == NULL) goto err; | ||
105 | loop: | ||
106 | /* make a random number and set the top and bottom bits */ | ||
107 | if (add == NULL) | ||
108 | { | ||
109 | if (!probable_prime(rnd,bits)) goto err; | ||
110 | } | ||
111 | else | ||
112 | { | ||
113 | if (strong) | ||
114 | { | ||
115 | if (!probable_prime_dh_strong(rnd,bits,add,rem,ctx)) | ||
116 | goto err; | ||
117 | } | ||
118 | else | ||
119 | { | ||
120 | if (!probable_prime_dh(rnd,bits,add,rem,ctx)) | ||
121 | goto err; | ||
122 | } | ||
123 | } | ||
124 | /* if (BN_mod_word(rnd,(BN_ULONG)3) == 1) goto loop; */ | ||
125 | if (callback != NULL) callback(0,c1++,cb_arg); | ||
126 | |||
127 | if (!strong) | ||
128 | { | ||
129 | i=BN_is_prime(rnd,BN_prime_checks,callback,ctx,cb_arg); | ||
130 | if (i == -1) goto err; | ||
131 | if (i == 0) goto loop; | ||
132 | } | ||
133 | else | ||
134 | { | ||
135 | /* for a strong prime generation, | ||
136 | * check that (p-1)/2 is prime. | ||
137 | * Since a prime is odd, We just | ||
138 | * need to divide by 2 */ | ||
139 | if (!BN_rshift1(t,rnd)) goto err; | ||
140 | |||
141 | for (i=0; i<BN_prime_checks; i++) | ||
142 | { | ||
143 | j=BN_is_prime(rnd,1,callback,ctx,cb_arg); | ||
144 | if (j == -1) goto err; | ||
145 | if (j == 0) goto loop; | ||
146 | |||
147 | j=BN_is_prime(t,1,callback,ctx,cb_arg); | ||
148 | if (j == -1) goto err; | ||
149 | if (j == 0) goto loop; | ||
150 | |||
151 | if (callback != NULL) callback(2,c1-1,cb_arg); | ||
152 | /* We have a strong prime test pass */ | ||
153 | } | ||
154 | } | ||
155 | /* we have a prime :-) */ | ||
156 | ret=rnd; | ||
157 | err: | ||
158 | if ((ret == NULL) && (rnd != NULL)) BN_free(rnd); | ||
159 | if (t != NULL) BN_free(t); | ||
160 | if (ctx != NULL) BN_CTX_free(ctx); | ||
161 | return(ret); | ||
162 | } | ||
163 | |||
164 | int BN_is_prime(a,checks,callback,ctx_passed,cb_arg) | ||
165 | BIGNUM *a; | ||
166 | int checks; | ||
167 | void (*callback)(P_I_I_P); | ||
168 | BN_CTX *ctx_passed; | ||
169 | char *cb_arg; | ||
170 | { | ||
171 | int i,j,c2=0,ret= -1; | ||
172 | BIGNUM *check; | ||
173 | BN_CTX *ctx=NULL,*ctx2=NULL; | ||
174 | BN_MONT_CTX *mont=NULL; | ||
175 | |||
176 | if (!BN_is_odd(a)) | ||
177 | return(0); | ||
178 | if (ctx_passed != NULL) | ||
179 | ctx=ctx_passed; | ||
180 | else | ||
181 | if ((ctx=BN_CTX_new()) == NULL) goto err; | ||
182 | |||
183 | if ((ctx2=BN_CTX_new()) == NULL) goto err; | ||
184 | if ((mont=BN_MONT_CTX_new()) == NULL) goto err; | ||
185 | |||
186 | check=ctx->bn[ctx->tos++]; | ||
187 | |||
188 | /* Setup the montgomery structure */ | ||
189 | if (!BN_MONT_CTX_set(mont,a,ctx2)) goto err; | ||
190 | |||
191 | for (i=0; i<checks; i++) | ||
192 | { | ||
193 | if (!BN_rand(check,BN_num_bits(a)-1,0,0)) goto err; | ||
194 | j=witness(check,a,ctx,ctx2,mont); | ||
195 | if (j == -1) goto err; | ||
196 | if (j) | ||
197 | { | ||
198 | ret=0; | ||
199 | goto err; | ||
200 | } | ||
201 | if (callback != NULL) callback(1,c2++,cb_arg); | ||
202 | } | ||
203 | ret=1; | ||
204 | err: | ||
205 | ctx->tos--; | ||
206 | if ((ctx_passed == NULL) && (ctx != NULL)) | ||
207 | BN_CTX_free(ctx); | ||
208 | if (ctx2 != NULL) | ||
209 | BN_CTX_free(ctx2); | ||
210 | if (mont != NULL) BN_MONT_CTX_free(mont); | ||
211 | |||
212 | return(ret); | ||
213 | } | ||
214 | |||
215 | #define RECP_MUL_MOD | ||
216 | |||
217 | static int witness(a,n,ctx,ctx2,mont) | ||
218 | BIGNUM *a; | ||
219 | BIGNUM *n; | ||
220 | BN_CTX *ctx,*ctx2; | ||
221 | BN_MONT_CTX *mont; | ||
222 | { | ||
223 | int k,i,ret= -1,good; | ||
224 | BIGNUM *d,*dd,*tmp,*d1,*d2,*n1; | ||
225 | BIGNUM *mont_one,*mont_n1,*mont_a; | ||
226 | |||
227 | d1=ctx->bn[ctx->tos]; | ||
228 | d2=ctx->bn[ctx->tos+1]; | ||
229 | n1=ctx->bn[ctx->tos+2]; | ||
230 | ctx->tos+=3; | ||
231 | |||
232 | mont_one=ctx2->bn[ctx2->tos]; | ||
233 | mont_n1=ctx2->bn[ctx2->tos+1]; | ||
234 | mont_a=ctx2->bn[ctx2->tos+2]; | ||
235 | ctx2->tos+=3; | ||
236 | |||
237 | d=d1; | ||
238 | dd=d2; | ||
239 | if (!BN_one(d)) goto err; | ||
240 | if (!BN_sub(n1,n,d)) goto err; /* n1=n-1; */ | ||
241 | k=BN_num_bits(n1); | ||
242 | |||
243 | if (!BN_to_montgomery(mont_one,BN_value_one(),mont,ctx2)) goto err; | ||
244 | if (!BN_to_montgomery(mont_n1,n1,mont,ctx2)) goto err; | ||
245 | if (!BN_to_montgomery(mont_a,a,mont,ctx2)) goto err; | ||
246 | |||
247 | BN_copy(d,mont_one); | ||
248 | for (i=k-1; i>=0; i--) | ||
249 | { | ||
250 | if ( (BN_cmp(d,mont_one) != 0) && | ||
251 | (BN_cmp(d,mont_n1) != 0)) | ||
252 | good=1; | ||
253 | else | ||
254 | good=0; | ||
255 | |||
256 | BN_mod_mul_montgomery(dd,d,d,mont,ctx2); | ||
257 | |||
258 | if (good && (BN_cmp(dd,mont_one) == 0)) | ||
259 | { | ||
260 | ret=1; | ||
261 | goto err; | ||
262 | } | ||
263 | if (BN_is_bit_set(n1,i)) | ||
264 | { | ||
265 | BN_mod_mul_montgomery(d,dd,mont_a,mont,ctx2); | ||
266 | } | ||
267 | else | ||
268 | { | ||
269 | tmp=d; | ||
270 | d=dd; | ||
271 | dd=tmp; | ||
272 | } | ||
273 | } | ||
274 | if (BN_cmp(d,mont_one) == 0) | ||
275 | i=0; | ||
276 | else i=1; | ||
277 | ret=i; | ||
278 | err: | ||
279 | ctx->tos-=3; | ||
280 | ctx2->tos-=3; | ||
281 | return(ret); | ||
282 | } | ||
283 | |||
284 | static int probable_prime(rnd, bits) | ||
285 | BIGNUM *rnd; | ||
286 | int bits; | ||
287 | { | ||
288 | int i; | ||
289 | MS_STATIC BN_ULONG mods[NUMPRIMES]; | ||
290 | BN_ULONG delta; | ||
291 | |||
292 | if (!BN_rand(rnd,bits,1,1)) return(0); | ||
293 | /* we now have a random number 'rand' to test. */ | ||
294 | for (i=1; i<NUMPRIMES; i++) | ||
295 | mods[i]=BN_mod_word(rnd,(BN_ULONG)primes[i]); | ||
296 | delta=0; | ||
297 | loop: for (i=1; i<NUMPRIMES; i++) | ||
298 | { | ||
299 | /* check that rnd is not a prime and also | ||
300 | * that gcd(rnd-1,primes) == 1 (except for 2) */ | ||
301 | if (((mods[i]+delta)%primes[i]) <= 1) | ||
302 | { | ||
303 | delta+=2; | ||
304 | /* perhaps need to check for overflow of | ||
305 | * delta (but delta can be upto 2^32) */ | ||
306 | goto loop; | ||
307 | } | ||
308 | } | ||
309 | if (!BN_add_word(rnd,delta)) return(0); | ||
310 | return(1); | ||
311 | } | ||
312 | |||
313 | static int probable_prime_dh(rnd, bits, add, rem,ctx) | ||
314 | BIGNUM *rnd; | ||
315 | int bits; | ||
316 | BIGNUM *add; | ||
317 | BIGNUM *rem; | ||
318 | BN_CTX *ctx; | ||
319 | { | ||
320 | int i,ret=0; | ||
321 | BIGNUM *t1; | ||
322 | |||
323 | t1=ctx->bn[ctx->tos++]; | ||
324 | |||
325 | if (!BN_rand(rnd,bits,0,1)) goto err; | ||
326 | |||
327 | /* we need ((rnd-rem) % add) == 0 */ | ||
328 | |||
329 | if (!BN_mod(t1,rnd,add,ctx)) goto err; | ||
330 | if (!BN_sub(rnd,rnd,t1)) goto err; | ||
331 | if (rem == NULL) | ||
332 | { if (!BN_add_word(rnd,1)) goto err; } | ||
333 | else | ||
334 | { if (!BN_add(rnd,rnd,rem)) goto err; } | ||
335 | |||
336 | /* we now have a random number 'rand' to test. */ | ||
337 | |||
338 | loop: for (i=1; i<NUMPRIMES; i++) | ||
339 | { | ||
340 | /* check that rnd is a prime */ | ||
341 | if (BN_mod_word(rnd,(BN_LONG)primes[i]) <= 1) | ||
342 | { | ||
343 | if (!BN_add(rnd,rnd,add)) goto err; | ||
344 | goto loop; | ||
345 | } | ||
346 | } | ||
347 | ret=1; | ||
348 | err: | ||
349 | ctx->tos--; | ||
350 | return(ret); | ||
351 | } | ||
352 | |||
353 | static int probable_prime_dh_strong(p, bits, padd, rem,ctx) | ||
354 | BIGNUM *p; | ||
355 | int bits; | ||
356 | BIGNUM *padd; | ||
357 | BIGNUM *rem; | ||
358 | BN_CTX *ctx; | ||
359 | { | ||
360 | int i,ret=0; | ||
361 | BIGNUM *t1,*qadd=NULL,*q=NULL; | ||
362 | |||
363 | bits--; | ||
364 | t1=ctx->bn[ctx->tos++]; | ||
365 | q=ctx->bn[ctx->tos++]; | ||
366 | qadd=ctx->bn[ctx->tos++]; | ||
367 | |||
368 | if (!BN_rshift1(qadd,padd)) goto err; | ||
369 | |||
370 | if (!BN_rand(q,bits,0,1)) goto err; | ||
371 | |||
372 | /* we need ((rnd-rem) % add) == 0 */ | ||
373 | if (!BN_mod(t1,q,qadd,ctx)) goto err; | ||
374 | if (!BN_sub(q,q,t1)) goto err; | ||
375 | if (rem == NULL) | ||
376 | { if (!BN_add_word(q,1)) goto err; } | ||
377 | else | ||
378 | { | ||
379 | if (!BN_rshift1(t1,rem)) goto err; | ||
380 | if (!BN_add(q,q,t1)) goto err; | ||
381 | } | ||
382 | |||
383 | /* we now have a random number 'rand' to test. */ | ||
384 | if (!BN_lshift1(p,q)) goto err; | ||
385 | if (!BN_add_word(p,1)) goto err; | ||
386 | |||
387 | loop: for (i=1; i<NUMPRIMES; i++) | ||
388 | { | ||
389 | /* check that p and q are prime */ | ||
390 | /* check that for p and q | ||
391 | * gcd(p-1,primes) == 1 (except for 2) */ | ||
392 | if ( (BN_mod_word(p,(BN_LONG)primes[i]) == 0) || | ||
393 | (BN_mod_word(q,(BN_LONG)primes[i]) == 0)) | ||
394 | { | ||
395 | if (!BN_add(p,p,padd)) goto err; | ||
396 | if (!BN_add(q,q,qadd)) goto err; | ||
397 | goto loop; | ||
398 | } | ||
399 | } | ||
400 | ret=1; | ||
401 | err: | ||
402 | ctx->tos-=3; | ||
403 | return(ret); | ||
404 | } | ||
405 | |||
406 | #if 0 | ||
407 | static int witness(a, n,ctx) | ||
408 | BIGNUM *a; | ||
409 | BIGNUM *n; | ||
410 | BN_CTX *ctx; | ||
411 | { | ||
412 | int k,i,nb,ret= -1; | ||
413 | BIGNUM *d,*dd,*tmp; | ||
414 | BIGNUM *d1,*d2,*x,*n1,*inv; | ||
415 | |||
416 | d1=ctx->bn[ctx->tos]; | ||
417 | d2=ctx->bn[ctx->tos+1]; | ||
418 | x=ctx->bn[ctx->tos+2]; | ||
419 | n1=ctx->bn[ctx->tos+3]; | ||
420 | inv=ctx->bn[ctx->tos+4]; | ||
421 | ctx->tos+=5; | ||
422 | |||
423 | d=d1; | ||
424 | dd=d2; | ||
425 | if (!BN_one(d)) goto err; | ||
426 | if (!BN_sub(n1,n,d)) goto err; /* n1=n-1; */ | ||
427 | k=BN_num_bits(n1); | ||
428 | |||
429 | /* i=BN_num_bits(n); */ | ||
430 | #ifdef RECP_MUL_MOD | ||
431 | nb=BN_reciprocal(inv,n,ctx); /**/ | ||
432 | if (nb == -1) goto err; | ||
433 | #endif | ||
434 | |||
435 | for (i=k-1; i>=0; i--) | ||
436 | { | ||
437 | if (BN_copy(x,d) == NULL) goto err; | ||
438 | #ifndef RECP_MUL_MOD | ||
439 | if (!BN_mod_mul(dd,d,d,n,ctx)) goto err; | ||
440 | #else | ||
441 | if (!BN_mod_mul_reciprocal(dd,d,d,n,inv,nb,ctx)) goto err; | ||
442 | #endif | ||
443 | if ( BN_is_one(dd) && | ||
444 | !BN_is_one(x) && | ||
445 | (BN_cmp(x,n1) != 0)) | ||
446 | { | ||
447 | ret=1; | ||
448 | goto err; | ||
449 | } | ||
450 | if (BN_is_bit_set(n1,i)) | ||
451 | { | ||
452 | #ifndef RECP_MUL_MOD | ||
453 | if (!BN_mod_mul(d,dd,a,n,ctx)) goto err; | ||
454 | #else | ||
455 | if (!BN_mod_mul_reciprocal(d,dd,a,n,inv,nb,ctx)) goto err; | ||
456 | #endif | ||
457 | } | ||
458 | else | ||
459 | { | ||
460 | tmp=d; | ||
461 | d=dd; | ||
462 | dd=tmp; | ||
463 | } | ||
464 | } | ||
465 | if (BN_is_one(d)) | ||
466 | i=0; | ||
467 | else i=1; | ||
468 | ret=i; | ||
469 | err: | ||
470 | ctx->tos-=5; | ||
471 | return(ret); | ||
472 | } | ||
473 | #endif | ||