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1 /* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
2  * All rights reserved.
3  *
4  * This package is an SSL implementation written
5  * by Eric Young (eay@cryptsoft.com).
6  * The implementation was written so as to conform with Netscapes SSL.
7  *
8  * This library is free for commercial and non-commercial use as long as
9  * the following conditions are aheared to.  The following conditions
10  * apply to all code found in this distribution, be it the RC4, RSA,
11  * lhash, DES, etc., code; not just the SSL code.  The SSL documentation
12  * included with this distribution is covered by the same copyright terms
13  * except that the holder is Tim Hudson (tjh@cryptsoft.com).
14  *
15  * Copyright remains Eric Young's, and as such any Copyright notices in
16  * the code are not to be removed.
17  * If this package is used in a product, Eric Young should be given attribution
18  * as the author of the parts of the library used.
19  * This can be in the form of a textual message at program startup or
20  * in documentation (online or textual) provided with the package.
21  *
22  * Redistribution and use in source and binary forms, with or without
23  * modification, are permitted provided that the following conditions
24  * are met:
25  * 1. Redistributions of source code must retain the copyright
26  *    notice, this list of conditions and the following disclaimer.
27  * 2. Redistributions in binary form must reproduce the above copyright
28  *    notice, this list of conditions and the following disclaimer in the
29  *    documentation and/or other materials provided with the distribution.
30  * 3. All advertising materials mentioning features or use of this software
31  *    must display the following acknowledgement:
32  *    "This product includes cryptographic software written by
33  *     Eric Young (eay@cryptsoft.com)"
34  *    The word 'cryptographic' can be left out if the rouines from the library
35  *    being used are not cryptographic related :-).
36  * 4. If you include any Windows specific code (or a derivative thereof) from
37  *    the apps directory (application code) you must include an acknowledgement:
38  *    "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
39  *
40  * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
41  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
42  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
43  * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
44  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
45  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
46  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
47  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
48  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
49  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
50  * SUCH DAMAGE.
51  *
52  * The licence and distribution terms for any publically available version or
53  * derivative of this code cannot be changed.  i.e. this code cannot simply be
54  * copied and put under another distribution licence
55  * [including the GNU Public Licence.]
56  *
57  * The DSS routines are based on patches supplied by
58  * Steven Schoch <schoch@sheba.arc.nasa.gov>. */
59 
60 #include <openssl/dsa.h>
61 
62 #include <string.h>
63 
64 #include <openssl/bn.h>
65 #include <openssl/dh.h>
66 #include <openssl/digest.h>
67 #include <openssl/engine.h>
68 #include <openssl/err.h>
69 #include <openssl/ex_data.h>
70 #include <openssl/mem.h>
71 #include <openssl/rand.h>
72 #include <openssl/sha.h>
73 #include <openssl/thread.h>
74 
75 #include "../fipsmodule/bn/internal.h"
76 #include "../internal.h"
77 
78 
79 #define OPENSSL_DSA_MAX_MODULUS_BITS 10000
80 
81 // Primality test according to FIPS PUB 186[-1], Appendix 2.1: 50 rounds of
82 // Rabin-Miller
83 #define DSS_prime_checks 50
84 
85 static int dsa_sign_setup(const DSA *dsa, BN_CTX *ctx_in, BIGNUM **out_kinv,
86                           BIGNUM **out_r);
87 
88 static CRYPTO_EX_DATA_CLASS g_ex_data_class = CRYPTO_EX_DATA_CLASS_INIT;
89 
DSA_new(void)90 DSA *DSA_new(void) {
91   DSA *dsa = OPENSSL_malloc(sizeof(DSA));
92   if (dsa == NULL) {
93     OPENSSL_PUT_ERROR(DSA, ERR_R_MALLOC_FAILURE);
94     return NULL;
95   }
96 
97   OPENSSL_memset(dsa, 0, sizeof(DSA));
98 
99   dsa->references = 1;
100 
101   CRYPTO_MUTEX_init(&dsa->method_mont_lock);
102   CRYPTO_new_ex_data(&dsa->ex_data);
103 
104   return dsa;
105 }
106 
DSA_free(DSA * dsa)107 void DSA_free(DSA *dsa) {
108   if (dsa == NULL) {
109     return;
110   }
111 
112   if (!CRYPTO_refcount_dec_and_test_zero(&dsa->references)) {
113     return;
114   }
115 
116   CRYPTO_free_ex_data(&g_ex_data_class, dsa, &dsa->ex_data);
117 
118   BN_clear_free(dsa->p);
119   BN_clear_free(dsa->q);
120   BN_clear_free(dsa->g);
121   BN_clear_free(dsa->pub_key);
122   BN_clear_free(dsa->priv_key);
123   BN_MONT_CTX_free(dsa->method_mont_p);
124   BN_MONT_CTX_free(dsa->method_mont_q);
125   CRYPTO_MUTEX_cleanup(&dsa->method_mont_lock);
126   OPENSSL_free(dsa);
127 }
128 
DSA_up_ref(DSA * dsa)129 int DSA_up_ref(DSA *dsa) {
130   CRYPTO_refcount_inc(&dsa->references);
131   return 1;
132 }
133 
DSA_get0_key(const DSA * dsa,const BIGNUM ** out_pub_key,const BIGNUM ** out_priv_key)134 void DSA_get0_key(const DSA *dsa, const BIGNUM **out_pub_key,
135                   const BIGNUM **out_priv_key) {
136   if (out_pub_key != NULL) {
137     *out_pub_key = dsa->pub_key;
138   }
139   if (out_priv_key != NULL) {
140     *out_priv_key = dsa->priv_key;
141   }
142 }
143 
DSA_get0_pqg(const DSA * dsa,const BIGNUM ** out_p,const BIGNUM ** out_q,const BIGNUM ** out_g)144 void DSA_get0_pqg(const DSA *dsa, const BIGNUM **out_p, const BIGNUM **out_q,
145                   const BIGNUM **out_g) {
146   if (out_p != NULL) {
147     *out_p = dsa->p;
148   }
149   if (out_q != NULL) {
150     *out_q = dsa->q;
151   }
152   if (out_g != NULL) {
153     *out_g = dsa->g;
154   }
155 }
156 
DSA_set0_key(DSA * dsa,BIGNUM * pub_key,BIGNUM * priv_key)157 int DSA_set0_key(DSA *dsa, BIGNUM *pub_key, BIGNUM *priv_key) {
158   if (dsa->pub_key == NULL && pub_key == NULL) {
159     return 0;
160   }
161 
162   if (pub_key != NULL) {
163     BN_free(dsa->pub_key);
164     dsa->pub_key = pub_key;
165   }
166   if (priv_key != NULL) {
167     BN_free(dsa->priv_key);
168     dsa->priv_key = priv_key;
169   }
170 
171   return 1;
172 }
173 
DSA_set0_pqg(DSA * dsa,BIGNUM * p,BIGNUM * q,BIGNUM * g)174 int DSA_set0_pqg(DSA *dsa, BIGNUM *p, BIGNUM *q, BIGNUM *g) {
175   if ((dsa->p == NULL && p == NULL) ||
176       (dsa->q == NULL && q == NULL) ||
177       (dsa->g == NULL && g == NULL)) {
178     return 0;
179   }
180 
181   if (p != NULL) {
182     BN_free(dsa->p);
183     dsa->p = p;
184   }
185   if (q != NULL) {
186     BN_free(dsa->q);
187     dsa->q = q;
188   }
189   if (g != NULL) {
190     BN_free(dsa->g);
191     dsa->g = g;
192   }
193 
194   return 1;
195 }
196 
DSA_generate_parameters_ex(DSA * dsa,unsigned bits,const uint8_t * seed_in,size_t seed_len,int * out_counter,unsigned long * out_h,BN_GENCB * cb)197 int DSA_generate_parameters_ex(DSA *dsa, unsigned bits, const uint8_t *seed_in,
198                                size_t seed_len, int *out_counter,
199                                unsigned long *out_h, BN_GENCB *cb) {
200   int ok = 0;
201   unsigned char seed[SHA256_DIGEST_LENGTH];
202   unsigned char md[SHA256_DIGEST_LENGTH];
203   unsigned char buf[SHA256_DIGEST_LENGTH], buf2[SHA256_DIGEST_LENGTH];
204   BIGNUM *r0, *W, *X, *c, *test;
205   BIGNUM *g = NULL, *q = NULL, *p = NULL;
206   BN_MONT_CTX *mont = NULL;
207   int k, n = 0, m = 0;
208   unsigned i;
209   int counter = 0;
210   int r = 0;
211   BN_CTX *ctx = NULL;
212   unsigned int h = 2;
213   unsigned qsize;
214   const EVP_MD *evpmd;
215 
216   evpmd = (bits >= 2048) ? EVP_sha256() : EVP_sha1();
217   qsize = EVP_MD_size(evpmd);
218 
219   if (bits < 512) {
220     bits = 512;
221   }
222 
223   bits = (bits + 63) / 64 * 64;
224 
225   if (seed_in != NULL) {
226     if (seed_len < (size_t)qsize) {
227       return 0;
228     }
229     if (seed_len > (size_t)qsize) {
230       // Only consume as much seed as is expected.
231       seed_len = qsize;
232     }
233     OPENSSL_memcpy(seed, seed_in, seed_len);
234   }
235 
236   ctx = BN_CTX_new();
237   if (ctx == NULL) {
238     goto err;
239   }
240   BN_CTX_start(ctx);
241 
242   r0 = BN_CTX_get(ctx);
243   g = BN_CTX_get(ctx);
244   W = BN_CTX_get(ctx);
245   q = BN_CTX_get(ctx);
246   X = BN_CTX_get(ctx);
247   c = BN_CTX_get(ctx);
248   p = BN_CTX_get(ctx);
249   test = BN_CTX_get(ctx);
250 
251   if (test == NULL || !BN_lshift(test, BN_value_one(), bits - 1)) {
252     goto err;
253   }
254 
255   for (;;) {
256     // Find q.
257     for (;;) {
258       // step 1
259       if (!BN_GENCB_call(cb, 0, m++)) {
260         goto err;
261       }
262 
263       int use_random_seed = (seed_in == NULL);
264       if (use_random_seed) {
265         if (!RAND_bytes(seed, qsize)) {
266           goto err;
267         }
268       } else {
269         // If we come back through, use random seed next time.
270         seed_in = NULL;
271       }
272       OPENSSL_memcpy(buf, seed, qsize);
273       OPENSSL_memcpy(buf2, seed, qsize);
274       // precompute "SEED + 1" for step 7:
275       for (i = qsize - 1; i < qsize; i--) {
276         buf[i]++;
277         if (buf[i] != 0) {
278           break;
279         }
280       }
281 
282       // step 2
283       if (!EVP_Digest(seed, qsize, md, NULL, evpmd, NULL) ||
284           !EVP_Digest(buf, qsize, buf2, NULL, evpmd, NULL)) {
285         goto err;
286       }
287       for (i = 0; i < qsize; i++) {
288         md[i] ^= buf2[i];
289       }
290 
291       // step 3
292       md[0] |= 0x80;
293       md[qsize - 1] |= 0x01;
294       if (!BN_bin2bn(md, qsize, q)) {
295         goto err;
296       }
297 
298       // step 4
299       r = BN_is_prime_fasttest_ex(q, DSS_prime_checks, ctx, use_random_seed, cb);
300       if (r > 0) {
301         break;
302       }
303       if (r != 0) {
304         goto err;
305       }
306 
307       // do a callback call
308       // step 5
309     }
310 
311     if (!BN_GENCB_call(cb, 2, 0) || !BN_GENCB_call(cb, 3, 0)) {
312       goto err;
313     }
314 
315     // step 6
316     counter = 0;
317     // "offset = 2"
318 
319     n = (bits - 1) / 160;
320 
321     for (;;) {
322       if ((counter != 0) && !BN_GENCB_call(cb, 0, counter)) {
323         goto err;
324       }
325 
326       // step 7
327       BN_zero(W);
328       // now 'buf' contains "SEED + offset - 1"
329       for (k = 0; k <= n; k++) {
330         // obtain "SEED + offset + k" by incrementing:
331         for (i = qsize - 1; i < qsize; i--) {
332           buf[i]++;
333           if (buf[i] != 0) {
334             break;
335           }
336         }
337 
338         if (!EVP_Digest(buf, qsize, md, NULL, evpmd, NULL)) {
339           goto err;
340         }
341 
342         // step 8
343         if (!BN_bin2bn(md, qsize, r0) ||
344             !BN_lshift(r0, r0, (qsize << 3) * k) ||
345             !BN_add(W, W, r0)) {
346           goto err;
347         }
348       }
349 
350       // more of step 8
351       if (!BN_mask_bits(W, bits - 1) ||
352           !BN_copy(X, W) ||
353           !BN_add(X, X, test)) {
354         goto err;
355       }
356 
357       // step 9
358       if (!BN_lshift1(r0, q) ||
359           !BN_mod(c, X, r0, ctx) ||
360           !BN_sub(r0, c, BN_value_one()) ||
361           !BN_sub(p, X, r0)) {
362         goto err;
363       }
364 
365       // step 10
366       if (BN_cmp(p, test) >= 0) {
367         // step 11
368         r = BN_is_prime_fasttest_ex(p, DSS_prime_checks, ctx, 1, cb);
369         if (r > 0) {
370           goto end;  // found it
371         }
372         if (r != 0) {
373           goto err;
374         }
375       }
376 
377       // step 13
378       counter++;
379       // "offset = offset + n + 1"
380 
381       // step 14
382       if (counter >= 4096) {
383         break;
384       }
385     }
386   }
387 end:
388   if (!BN_GENCB_call(cb, 2, 1)) {
389     goto err;
390   }
391 
392   // We now need to generate g
393   // Set r0=(p-1)/q
394   if (!BN_sub(test, p, BN_value_one()) ||
395       !BN_div(r0, NULL, test, q, ctx)) {
396     goto err;
397   }
398 
399   mont = BN_MONT_CTX_new_for_modulus(p, ctx);
400   if (mont == NULL ||
401       !BN_set_word(test, h)) {
402     goto err;
403   }
404 
405   for (;;) {
406     // g=test^r0%p
407     if (!BN_mod_exp_mont(g, test, r0, p, ctx, mont)) {
408       goto err;
409     }
410     if (!BN_is_one(g)) {
411       break;
412     }
413     if (!BN_add(test, test, BN_value_one())) {
414       goto err;
415     }
416     h++;
417   }
418 
419   if (!BN_GENCB_call(cb, 3, 1)) {
420     goto err;
421   }
422 
423   ok = 1;
424 
425 err:
426   if (ok) {
427     BN_free(dsa->p);
428     BN_free(dsa->q);
429     BN_free(dsa->g);
430     dsa->p = BN_dup(p);
431     dsa->q = BN_dup(q);
432     dsa->g = BN_dup(g);
433     if (dsa->p == NULL || dsa->q == NULL || dsa->g == NULL) {
434       ok = 0;
435       goto err;
436     }
437     if (out_counter != NULL) {
438       *out_counter = counter;
439     }
440     if (out_h != NULL) {
441       *out_h = h;
442     }
443   }
444 
445   if (ctx) {
446     BN_CTX_end(ctx);
447     BN_CTX_free(ctx);
448   }
449 
450   BN_MONT_CTX_free(mont);
451 
452   return ok;
453 }
454 
DSAparams_dup(const DSA * dsa)455 DSA *DSAparams_dup(const DSA *dsa) {
456   DSA *ret = DSA_new();
457   if (ret == NULL) {
458     return NULL;
459   }
460   ret->p = BN_dup(dsa->p);
461   ret->q = BN_dup(dsa->q);
462   ret->g = BN_dup(dsa->g);
463   if (ret->p == NULL || ret->q == NULL || ret->g == NULL) {
464     DSA_free(ret);
465     return NULL;
466   }
467   return ret;
468 }
469 
DSA_generate_key(DSA * dsa)470 int DSA_generate_key(DSA *dsa) {
471   int ok = 0;
472   BN_CTX *ctx = NULL;
473   BIGNUM *pub_key = NULL, *priv_key = NULL;
474 
475   ctx = BN_CTX_new();
476   if (ctx == NULL) {
477     goto err;
478   }
479 
480   priv_key = dsa->priv_key;
481   if (priv_key == NULL) {
482     priv_key = BN_new();
483     if (priv_key == NULL) {
484       goto err;
485     }
486   }
487 
488   if (!BN_rand_range_ex(priv_key, 1, dsa->q)) {
489     goto err;
490   }
491 
492   pub_key = dsa->pub_key;
493   if (pub_key == NULL) {
494     pub_key = BN_new();
495     if (pub_key == NULL) {
496       goto err;
497     }
498   }
499 
500   if (!BN_MONT_CTX_set_locked(&dsa->method_mont_p, &dsa->method_mont_lock,
501                               dsa->p, ctx) ||
502       !BN_mod_exp_mont_consttime(pub_key, dsa->g, priv_key, dsa->p, ctx,
503                                  dsa->method_mont_p)) {
504     goto err;
505   }
506 
507   dsa->priv_key = priv_key;
508   dsa->pub_key = pub_key;
509   ok = 1;
510 
511 err:
512   if (dsa->pub_key == NULL) {
513     BN_free(pub_key);
514   }
515   if (dsa->priv_key == NULL) {
516     BN_free(priv_key);
517   }
518   BN_CTX_free(ctx);
519 
520   return ok;
521 }
522 
DSA_SIG_new(void)523 DSA_SIG *DSA_SIG_new(void) {
524   DSA_SIG *sig;
525   sig = OPENSSL_malloc(sizeof(DSA_SIG));
526   if (!sig) {
527     return NULL;
528   }
529   sig->r = NULL;
530   sig->s = NULL;
531   return sig;
532 }
533 
DSA_SIG_free(DSA_SIG * sig)534 void DSA_SIG_free(DSA_SIG *sig) {
535   if (!sig) {
536     return;
537   }
538 
539   BN_free(sig->r);
540   BN_free(sig->s);
541   OPENSSL_free(sig);
542 }
543 
DSA_do_sign(const uint8_t * digest,size_t digest_len,const DSA * dsa)544 DSA_SIG *DSA_do_sign(const uint8_t *digest, size_t digest_len, const DSA *dsa) {
545   BIGNUM *kinv = NULL, *r = NULL, *s = NULL;
546   BIGNUM m;
547   BIGNUM xr;
548   BN_CTX *ctx = NULL;
549   int reason = ERR_R_BN_LIB;
550   DSA_SIG *ret = NULL;
551 
552   BN_init(&m);
553   BN_init(&xr);
554 
555   if (!dsa->p || !dsa->q || !dsa->g) {
556     reason = DSA_R_MISSING_PARAMETERS;
557     goto err;
558   }
559 
560   s = BN_new();
561   if (s == NULL) {
562     goto err;
563   }
564   ctx = BN_CTX_new();
565   if (ctx == NULL) {
566     goto err;
567   }
568 
569 redo:
570   if (!dsa_sign_setup(dsa, ctx, &kinv, &r)) {
571     goto err;
572   }
573 
574   if (digest_len > BN_num_bytes(dsa->q)) {
575     // if the digest length is greater than the size of q use the
576     // BN_num_bits(dsa->q) leftmost bits of the digest, see
577     // fips 186-3, 4.2
578     digest_len = BN_num_bytes(dsa->q);
579   }
580 
581   if (BN_bin2bn(digest, digest_len, &m) == NULL) {
582     goto err;
583   }
584 
585   // Compute  s = inv(k) (m + xr) mod q
586   if (!BN_mod_mul(&xr, dsa->priv_key, r, dsa->q, ctx)) {
587     goto err;  // s = xr
588   }
589   if (!BN_add(s, &xr, &m)) {
590     goto err;  // s = m + xr
591   }
592   if (BN_cmp(s, dsa->q) > 0) {
593     if (!BN_sub(s, s, dsa->q)) {
594       goto err;
595     }
596   }
597   if (!BN_mod_mul(s, s, kinv, dsa->q, ctx)) {
598     goto err;
599   }
600 
601   // Redo if r or s is zero as required by FIPS 186-3: this is
602   // very unlikely.
603   if (BN_is_zero(r) || BN_is_zero(s)) {
604     goto redo;
605   }
606   ret = DSA_SIG_new();
607   if (ret == NULL) {
608     goto err;
609   }
610   ret->r = r;
611   ret->s = s;
612 
613 err:
614   if (ret == NULL) {
615     OPENSSL_PUT_ERROR(DSA, reason);
616     BN_free(r);
617     BN_free(s);
618   }
619   BN_CTX_free(ctx);
620   BN_clear_free(&m);
621   BN_clear_free(&xr);
622   BN_clear_free(kinv);
623 
624   return ret;
625 }
626 
DSA_do_verify(const uint8_t * digest,size_t digest_len,DSA_SIG * sig,const DSA * dsa)627 int DSA_do_verify(const uint8_t *digest, size_t digest_len, DSA_SIG *sig,
628                   const DSA *dsa) {
629   int valid;
630   if (!DSA_do_check_signature(&valid, digest, digest_len, sig, dsa)) {
631     return -1;
632   }
633   return valid;
634 }
635 
DSA_do_check_signature(int * out_valid,const uint8_t * digest,size_t digest_len,DSA_SIG * sig,const DSA * dsa)636 int DSA_do_check_signature(int *out_valid, const uint8_t *digest,
637                            size_t digest_len, DSA_SIG *sig, const DSA *dsa) {
638   BN_CTX *ctx;
639   BIGNUM u1, u2, t1;
640   int ret = 0;
641   unsigned i;
642 
643   *out_valid = 0;
644 
645   if (!dsa->p || !dsa->q || !dsa->g) {
646     OPENSSL_PUT_ERROR(DSA, DSA_R_MISSING_PARAMETERS);
647     return 0;
648   }
649 
650   i = BN_num_bits(dsa->q);
651   // fips 186-3 allows only different sizes for q
652   if (i != 160 && i != 224 && i != 256) {
653     OPENSSL_PUT_ERROR(DSA, DSA_R_BAD_Q_VALUE);
654     return 0;
655   }
656 
657   if (BN_num_bits(dsa->p) > OPENSSL_DSA_MAX_MODULUS_BITS) {
658     OPENSSL_PUT_ERROR(DSA, DSA_R_MODULUS_TOO_LARGE);
659     return 0;
660   }
661 
662   BN_init(&u1);
663   BN_init(&u2);
664   BN_init(&t1);
665 
666   ctx = BN_CTX_new();
667   if (ctx == NULL) {
668     goto err;
669   }
670 
671   if (BN_is_zero(sig->r) || BN_is_negative(sig->r) ||
672       BN_ucmp(sig->r, dsa->q) >= 0) {
673     ret = 1;
674     goto err;
675   }
676   if (BN_is_zero(sig->s) || BN_is_negative(sig->s) ||
677       BN_ucmp(sig->s, dsa->q) >= 0) {
678     ret = 1;
679     goto err;
680   }
681 
682   // Calculate W = inv(S) mod Q
683   // save W in u2
684   if (BN_mod_inverse(&u2, sig->s, dsa->q, ctx) == NULL) {
685     goto err;
686   }
687 
688   // save M in u1
689   if (digest_len > (i >> 3)) {
690     // if the digest length is greater than the size of q use the
691     // BN_num_bits(dsa->q) leftmost bits of the digest, see
692     // fips 186-3, 4.2
693     digest_len = (i >> 3);
694   }
695 
696   if (BN_bin2bn(digest, digest_len, &u1) == NULL) {
697     goto err;
698   }
699 
700   // u1 = M * w mod q
701   if (!BN_mod_mul(&u1, &u1, &u2, dsa->q, ctx)) {
702     goto err;
703   }
704 
705   // u2 = r * w mod q
706   if (!BN_mod_mul(&u2, sig->r, &u2, dsa->q, ctx)) {
707     goto err;
708   }
709 
710   if (!BN_MONT_CTX_set_locked((BN_MONT_CTX **)&dsa->method_mont_p,
711                               (CRYPTO_MUTEX *)&dsa->method_mont_lock, dsa->p,
712                               ctx)) {
713     goto err;
714   }
715 
716   if (!BN_mod_exp2_mont(&t1, dsa->g, &u1, dsa->pub_key, &u2, dsa->p, ctx,
717                         dsa->method_mont_p)) {
718     goto err;
719   }
720 
721   // BN_copy(&u1,&t1);
722   // let u1 = u1 mod q
723   if (!BN_mod(&u1, &t1, dsa->q, ctx)) {
724     goto err;
725   }
726 
727   // V is now in u1.  If the signature is correct, it will be
728   // equal to R.
729   *out_valid = BN_ucmp(&u1, sig->r) == 0;
730   ret = 1;
731 
732 err:
733   if (ret != 1) {
734     OPENSSL_PUT_ERROR(DSA, ERR_R_BN_LIB);
735   }
736   BN_CTX_free(ctx);
737   BN_free(&u1);
738   BN_free(&u2);
739   BN_free(&t1);
740 
741   return ret;
742 }
743 
DSA_sign(int type,const uint8_t * digest,size_t digest_len,uint8_t * out_sig,unsigned int * out_siglen,const DSA * dsa)744 int DSA_sign(int type, const uint8_t *digest, size_t digest_len,
745              uint8_t *out_sig, unsigned int *out_siglen, const DSA *dsa) {
746   DSA_SIG *s;
747 
748   s = DSA_do_sign(digest, digest_len, dsa);
749   if (s == NULL) {
750     *out_siglen = 0;
751     return 0;
752   }
753 
754   *out_siglen = i2d_DSA_SIG(s, &out_sig);
755   DSA_SIG_free(s);
756   return 1;
757 }
758 
DSA_verify(int type,const uint8_t * digest,size_t digest_len,const uint8_t * sig,size_t sig_len,const DSA * dsa)759 int DSA_verify(int type, const uint8_t *digest, size_t digest_len,
760                const uint8_t *sig, size_t sig_len, const DSA *dsa) {
761   int valid;
762   if (!DSA_check_signature(&valid, digest, digest_len, sig, sig_len, dsa)) {
763     return -1;
764   }
765   return valid;
766 }
767 
DSA_check_signature(int * out_valid,const uint8_t * digest,size_t digest_len,const uint8_t * sig,size_t sig_len,const DSA * dsa)768 int DSA_check_signature(int *out_valid, const uint8_t *digest,
769                         size_t digest_len, const uint8_t *sig, size_t sig_len,
770                         const DSA *dsa) {
771   DSA_SIG *s = NULL;
772   int ret = 0;
773   uint8_t *der = NULL;
774 
775   s = DSA_SIG_new();
776   if (s == NULL) {
777     goto err;
778   }
779 
780   const uint8_t *sigp = sig;
781   if (d2i_DSA_SIG(&s, &sigp, sig_len) == NULL || sigp != sig + sig_len) {
782     goto err;
783   }
784 
785   // Ensure that the signature uses DER and doesn't have trailing garbage.
786   int der_len = i2d_DSA_SIG(s, &der);
787   if (der_len < 0 || (size_t)der_len != sig_len ||
788       OPENSSL_memcmp(sig, der, sig_len)) {
789     goto err;
790   }
791 
792   ret = DSA_do_check_signature(out_valid, digest, digest_len, s, dsa);
793 
794 err:
795   OPENSSL_free(der);
796   DSA_SIG_free(s);
797   return ret;
798 }
799 
800 // der_len_len returns the number of bytes needed to represent a length of |len|
801 // in DER.
der_len_len(size_t len)802 static size_t der_len_len(size_t len) {
803   if (len < 0x80) {
804     return 1;
805   }
806   size_t ret = 1;
807   while (len > 0) {
808     ret++;
809     len >>= 8;
810   }
811   return ret;
812 }
813 
DSA_size(const DSA * dsa)814 int DSA_size(const DSA *dsa) {
815   size_t order_len = BN_num_bytes(dsa->q);
816   // Compute the maximum length of an |order_len| byte integer. Defensively
817   // assume that the leading 0x00 is included.
818   size_t integer_len = 1 /* tag */ + der_len_len(order_len + 1) + 1 + order_len;
819   if (integer_len < order_len) {
820     return 0;
821   }
822   // A DSA signature is two INTEGERs.
823   size_t value_len = 2 * integer_len;
824   if (value_len < integer_len) {
825     return 0;
826   }
827   // Add the header.
828   size_t ret = 1 /* tag */ + der_len_len(value_len) + value_len;
829   if (ret < value_len) {
830     return 0;
831   }
832   return ret;
833 }
834 
dsa_sign_setup(const DSA * dsa,BN_CTX * ctx_in,BIGNUM ** out_kinv,BIGNUM ** out_r)835 static int dsa_sign_setup(const DSA *dsa, BN_CTX *ctx_in, BIGNUM **out_kinv,
836                           BIGNUM **out_r) {
837   BN_CTX *ctx;
838   BIGNUM k, kq, *kinv = NULL, *r = NULL;
839   int ret = 0;
840 
841   if (!dsa->p || !dsa->q || !dsa->g) {
842     OPENSSL_PUT_ERROR(DSA, DSA_R_MISSING_PARAMETERS);
843     return 0;
844   }
845 
846   BN_init(&k);
847   BN_init(&kq);
848 
849   ctx = ctx_in;
850   if (ctx == NULL) {
851     ctx = BN_CTX_new();
852     if (ctx == NULL) {
853       goto err;
854     }
855   }
856 
857   r = BN_new();
858   if (r == NULL) {
859     goto err;
860   }
861 
862   // Get random k
863   if (!BN_rand_range_ex(&k, 1, dsa->q)) {
864     goto err;
865   }
866 
867   if (!BN_MONT_CTX_set_locked((BN_MONT_CTX **)&dsa->method_mont_p,
868                               (CRYPTO_MUTEX *)&dsa->method_mont_lock, dsa->p,
869                               ctx) ||
870       !BN_MONT_CTX_set_locked((BN_MONT_CTX **)&dsa->method_mont_q,
871                               (CRYPTO_MUTEX *)&dsa->method_mont_lock, dsa->q,
872                               ctx)) {
873     goto err;
874   }
875 
876   // Compute r = (g^k mod p) mod q
877   if (!BN_copy(&kq, &k)) {
878     goto err;
879   }
880 
881   // We do not want timing information to leak the length of k,
882   // so we compute g^k using an equivalent exponent of fixed length.
883   //
884   // (This is a kludge that we need because the BN_mod_exp_mont()
885   // does not let us specify the desired timing behaviour.)
886 
887   if (!BN_add(&kq, &kq, dsa->q)) {
888     goto err;
889   }
890   if (BN_num_bits(&kq) <= BN_num_bits(dsa->q) && !BN_add(&kq, &kq, dsa->q)) {
891     goto err;
892   }
893 
894   if (!BN_mod_exp_mont_consttime(r, dsa->g, &kq, dsa->p, ctx,
895                                  dsa->method_mont_p)) {
896     goto err;
897   }
898   if (!BN_mod(r, r, dsa->q, ctx)) {
899     goto err;
900   }
901 
902   // Compute part of 's = inv(k) (m + xr) mod q' using Fermat's Little
903   // Theorem.
904   kinv = BN_new();
905   if (kinv == NULL ||
906       !bn_mod_inverse_prime(kinv, &k, dsa->q, ctx, dsa->method_mont_q)) {
907     goto err;
908   }
909 
910   BN_clear_free(*out_kinv);
911   *out_kinv = kinv;
912   kinv = NULL;
913   BN_clear_free(*out_r);
914   *out_r = r;
915   ret = 1;
916 
917 err:
918   if (!ret) {
919     OPENSSL_PUT_ERROR(DSA, ERR_R_BN_LIB);
920     if (r != NULL) {
921       BN_clear_free(r);
922     }
923   }
924 
925   if (ctx_in == NULL) {
926     BN_CTX_free(ctx);
927   }
928   BN_clear_free(&k);
929   BN_clear_free(&kq);
930   BN_clear_free(kinv);
931   return ret;
932 }
933 
DSA_get_ex_new_index(long argl,void * argp,CRYPTO_EX_unused * unused,CRYPTO_EX_dup * dup_unused,CRYPTO_EX_free * free_func)934 int DSA_get_ex_new_index(long argl, void *argp, CRYPTO_EX_unused *unused,
935                          CRYPTO_EX_dup *dup_unused, CRYPTO_EX_free *free_func) {
936   int index;
937   if (!CRYPTO_get_ex_new_index(&g_ex_data_class, &index, argl, argp,
938                                free_func)) {
939     return -1;
940   }
941   return index;
942 }
943 
DSA_set_ex_data(DSA * dsa,int idx,void * arg)944 int DSA_set_ex_data(DSA *dsa, int idx, void *arg) {
945   return CRYPTO_set_ex_data(&dsa->ex_data, idx, arg);
946 }
947 
DSA_get_ex_data(const DSA * dsa,int idx)948 void *DSA_get_ex_data(const DSA *dsa, int idx) {
949   return CRYPTO_get_ex_data(&dsa->ex_data, idx);
950 }
951 
DSA_dup_DH(const DSA * dsa)952 DH *DSA_dup_DH(const DSA *dsa) {
953   if (dsa == NULL) {
954     return NULL;
955   }
956 
957   DH *ret = DH_new();
958   if (ret == NULL) {
959     goto err;
960   }
961   if (dsa->q != NULL) {
962     ret->priv_length = BN_num_bits(dsa->q);
963     if ((ret->q = BN_dup(dsa->q)) == NULL) {
964       goto err;
965     }
966   }
967   if ((dsa->p != NULL && (ret->p = BN_dup(dsa->p)) == NULL) ||
968       (dsa->g != NULL && (ret->g = BN_dup(dsa->g)) == NULL) ||
969       (dsa->pub_key != NULL && (ret->pub_key = BN_dup(dsa->pub_key)) == NULL) ||
970       (dsa->priv_key != NULL &&
971        (ret->priv_key = BN_dup(dsa->priv_key)) == NULL)) {
972     goto err;
973   }
974 
975   return ret;
976 
977 err:
978   DH_free(ret);
979   return NULL;
980 }
981