1 /* ====================================================================
2  * Copyright (c) 1998-2005 The OpenSSL Project.  All rights reserved.
3  *
4  * Redistribution and use in source and binary forms, with or without
5  * modification, are permitted provided that the following conditions
6  * are met:
7  *
8  * 1. Redistributions of source code must retain the above copyright
9  *    notice, this list of conditions and the following disclaimer.
10  *
11  * 2. Redistributions in binary form must reproduce the above copyright
12  *    notice, this list of conditions and the following disclaimer in
13  *    the documentation and/or other materials provided with the
14  *    distribution.
15  *
16  * 3. All advertising materials mentioning features or use of this
17  *    software must display the following acknowledgment:
18  *    "This product includes software developed by the OpenSSL Project
19  *    for use in the OpenSSL Toolkit. (http://www.OpenSSL.org/)"
20  *
21  * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
22  *    endorse or promote products derived from this software without
23  *    prior written permission. For written permission, please contact
24  *    openssl-core@OpenSSL.org.
25  *
26  * 5. Products derived from this software may not be called "OpenSSL"
27  *    nor may "OpenSSL" appear in their names without prior written
28  *    permission of the OpenSSL Project.
29  *
30  * 6. Redistributions of any form whatsoever must retain the following
31  *    acknowledgment:
32  *    "This product includes software developed by the OpenSSL Project
33  *    for use in the OpenSSL Toolkit (http://www.OpenSSL.org/)"
34  *
35  * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
36  * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
37  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
38  * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE OpenSSL PROJECT OR
39  * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
40  * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
41  * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
42  * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
43  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
44  * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
45  * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
46  * OF THE POSSIBILITY OF SUCH DAMAGE.
47  * ====================================================================
48  *
49  * This product includes cryptographic software written by Eric Young
50  * (eay@cryptsoft.com).  This product includes software written by Tim
51  * Hudson (tjh@cryptsoft.com). */
52 
53 #include <openssl/ecdsa.h>
54 
55 #include <string.h>
56 
57 #include <openssl/bn.h>
58 #include <openssl/err.h>
59 #include <openssl/mem.h>
60 
61 #include "../ec/internal.h"
62 
63 
ECDSA_sign(int type,const uint8_t * digest,size_t digest_len,uint8_t * sig,unsigned int * sig_len,EC_KEY * eckey)64 int ECDSA_sign(int type, const uint8_t *digest, size_t digest_len, uint8_t *sig,
65                unsigned int *sig_len, EC_KEY *eckey) {
66   if (eckey->ecdsa_meth && eckey->ecdsa_meth->sign) {
67     return eckey->ecdsa_meth->sign(digest, digest_len, sig, sig_len, eckey);
68   }
69 
70   return ECDSA_sign_ex(type, digest, digest_len, sig, sig_len, NULL, NULL,
71                        eckey);
72 }
73 
ECDSA_verify(int type,const uint8_t * digest,size_t digest_len,const uint8_t * sig,size_t sig_len,EC_KEY * eckey)74 int ECDSA_verify(int type, const uint8_t *digest, size_t digest_len,
75                  const uint8_t *sig, size_t sig_len, EC_KEY *eckey) {
76   ECDSA_SIG *s;
77   int ret = 0;
78   uint8_t *der = NULL;
79 
80   if (eckey->ecdsa_meth && eckey->ecdsa_meth->verify) {
81     return eckey->ecdsa_meth->verify(digest, digest_len, sig, sig_len, eckey);
82   }
83 
84   s = ECDSA_SIG_new();
85   const uint8_t *sigp = sig;
86   if (s == NULL || d2i_ECDSA_SIG(&s, &sigp, sig_len) == NULL ||
87       sigp != sig + sig_len) {
88     goto err;
89   }
90 
91   /* Ensure that the signature uses DER and doesn't have trailing garbage. */
92   const int der_len = i2d_ECDSA_SIG(s, &der);
93   if (der_len < 0 || (size_t) der_len != sig_len || memcmp(sig, der, sig_len)) {
94     goto err;
95   }
96 
97   ret = ECDSA_do_verify(digest, digest_len, s, eckey);
98 
99 err:
100   OPENSSL_free(der);
101   ECDSA_SIG_free(s);
102   return ret;
103 }
104 
105 /* digest_to_bn interprets |digest_len| bytes from |digest| as a big-endian
106  * number and sets |out| to that value. It then truncates |out| so that it's,
107  * at most, as long as |order|. It returns one on success and zero otherwise. */
digest_to_bn(BIGNUM * out,const uint8_t * digest,size_t digest_len,const BIGNUM * order)108 static int digest_to_bn(BIGNUM *out, const uint8_t *digest, size_t digest_len,
109                         const BIGNUM *order) {
110   size_t num_bits;
111 
112   num_bits = BN_num_bits(order);
113   /* Need to truncate digest if it is too long: first truncate whole
114    * bytes. */
115   if (8 * digest_len > num_bits) {
116     digest_len = (num_bits + 7) / 8;
117   }
118   if (!BN_bin2bn(digest, digest_len, out)) {
119     OPENSSL_PUT_ERROR(ECDSA, digest_to_bn, ERR_R_BN_LIB);
120     return 0;
121   }
122 
123   /* If still too long truncate remaining bits with a shift */
124   if ((8 * digest_len > num_bits) &&
125       !BN_rshift(out, out, 8 - (num_bits & 0x7))) {
126     OPENSSL_PUT_ERROR(ECDSA, digest_to_bn, ERR_R_BN_LIB);
127     return 0;
128   }
129 
130   return 1;
131 }
132 
ECDSA_do_sign(const uint8_t * digest,size_t digest_len,EC_KEY * key)133 ECDSA_SIG *ECDSA_do_sign(const uint8_t *digest, size_t digest_len,
134                          EC_KEY *key) {
135   return ECDSA_do_sign_ex(digest, digest_len, NULL, NULL, key);
136 }
137 
ECDSA_do_verify(const uint8_t * digest,size_t digest_len,const ECDSA_SIG * sig,EC_KEY * eckey)138 int ECDSA_do_verify(const uint8_t *digest, size_t digest_len,
139                     const ECDSA_SIG *sig, EC_KEY *eckey) {
140   int ret = 0;
141   BN_CTX *ctx;
142   BIGNUM *order, *u1, *u2, *m, *X;
143   EC_POINT *point = NULL;
144   const EC_GROUP *group;
145   const EC_POINT *pub_key;
146 
147   if (eckey->ecdsa_meth && eckey->ecdsa_meth->verify) {
148     OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_verify, ECDSA_R_NOT_IMPLEMENTED);
149     return 0;
150   }
151 
152   /* check input values */
153   if ((group = EC_KEY_get0_group(eckey)) == NULL ||
154       (pub_key = EC_KEY_get0_public_key(eckey)) == NULL ||
155       sig == NULL) {
156     OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_verify, ECDSA_R_MISSING_PARAMETERS);
157     return 0;
158   }
159 
160   ctx = BN_CTX_new();
161   if (!ctx) {
162     OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_verify, ERR_R_MALLOC_FAILURE);
163     return 0;
164   }
165   BN_CTX_start(ctx);
166   order = BN_CTX_get(ctx);
167   u1 = BN_CTX_get(ctx);
168   u2 = BN_CTX_get(ctx);
169   m = BN_CTX_get(ctx);
170   X = BN_CTX_get(ctx);
171   if (!X) {
172     OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_verify, ERR_R_BN_LIB);
173     goto err;
174   }
175 
176   if (!EC_GROUP_get_order(group, order, ctx)) {
177     OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_verify, ERR_R_EC_LIB);
178     goto err;
179   }
180 
181   if (BN_is_zero(sig->r) || BN_is_negative(sig->r) ||
182       BN_ucmp(sig->r, order) >= 0 || BN_is_zero(sig->s) ||
183       BN_is_negative(sig->s) || BN_ucmp(sig->s, order) >= 0) {
184     OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_verify, ECDSA_R_BAD_SIGNATURE);
185     ret = 0; /* signature is invalid */
186     goto err;
187   }
188   /* calculate tmp1 = inv(S) mod order */
189   if (!BN_mod_inverse(u2, sig->s, order, ctx)) {
190     OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_verify, ERR_R_BN_LIB);
191     goto err;
192   }
193   if (!digest_to_bn(m, digest, digest_len, order)) {
194     goto err;
195   }
196   /* u1 = m * tmp mod order */
197   if (!BN_mod_mul(u1, m, u2, order, ctx)) {
198     OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_verify, ERR_R_BN_LIB);
199     goto err;
200   }
201   /* u2 = r * w mod q */
202   if (!BN_mod_mul(u2, sig->r, u2, order, ctx)) {
203     OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_verify, ERR_R_BN_LIB);
204     goto err;
205   }
206 
207   point = EC_POINT_new(group);
208   if (point == NULL) {
209     OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_verify, ERR_R_MALLOC_FAILURE);
210     goto err;
211   }
212   if (!EC_POINT_mul(group, point, u1, pub_key, u2, ctx)) {
213     OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_verify, ERR_R_EC_LIB);
214     goto err;
215   }
216   if (!EC_POINT_get_affine_coordinates_GFp(group, point, X, NULL, ctx)) {
217     OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_verify, ERR_R_EC_LIB);
218     goto err;
219   }
220   if (!BN_nnmod(u1, X, order, ctx)) {
221     OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_verify, ERR_R_BN_LIB);
222     goto err;
223   }
224   /* if the signature is correct u1 is equal to sig->r */
225   ret = (BN_ucmp(u1, sig->r) == 0);
226 
227 err:
228   BN_CTX_end(ctx);
229   BN_CTX_free(ctx);
230   EC_POINT_free(point);
231   return ret;
232 }
233 
ecdsa_sign_setup(EC_KEY * eckey,BN_CTX * ctx_in,BIGNUM ** kinvp,BIGNUM ** rp,const uint8_t * digest,size_t digest_len)234 static int ecdsa_sign_setup(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp,
235                             BIGNUM **rp, const uint8_t *digest,
236                             size_t digest_len) {
237   BN_CTX *ctx = NULL;
238   BIGNUM *k = NULL, *r = NULL, *order = NULL, *X = NULL;
239   EC_POINT *tmp_point = NULL;
240   const EC_GROUP *group;
241   int ret = 0;
242 
243   if (eckey == NULL || (group = EC_KEY_get0_group(eckey)) == NULL) {
244     OPENSSL_PUT_ERROR(ECDSA, ecdsa_sign_setup, ERR_R_PASSED_NULL_PARAMETER);
245     return 0;
246   }
247 
248   if (ctx_in == NULL) {
249     if ((ctx = BN_CTX_new()) == NULL) {
250       OPENSSL_PUT_ERROR(ECDSA, ecdsa_sign_setup, ERR_R_MALLOC_FAILURE);
251       return 0;
252     }
253   } else {
254     ctx = ctx_in;
255   }
256 
257   k = BN_new(); /* this value is later returned in *kinvp */
258   r = BN_new(); /* this value is later returned in *rp    */
259   order = BN_new();
260   X = BN_new();
261   if (!k || !r || !order || !X) {
262     OPENSSL_PUT_ERROR(ECDSA, ecdsa_sign_setup, ERR_R_MALLOC_FAILURE);
263     goto err;
264   }
265   tmp_point = EC_POINT_new(group);
266   if (tmp_point == NULL) {
267     OPENSSL_PUT_ERROR(ECDSA, ecdsa_sign_setup, ERR_R_EC_LIB);
268     goto err;
269   }
270   if (!EC_GROUP_get_order(group, order, ctx)) {
271     OPENSSL_PUT_ERROR(ECDSA, ecdsa_sign_setup, ERR_R_EC_LIB);
272     goto err;
273   }
274 
275   do {
276     /* If possible, we'll include the private key and message digest in the k
277      * generation. The |digest| argument is only empty if |ECDSA_sign_setup| is
278      * being used. */
279     do {
280       int ok;
281 
282       if (digest_len > 0) {
283         ok = BN_generate_dsa_nonce(k, order, EC_KEY_get0_private_key(eckey),
284                                    digest, digest_len, ctx);
285       } else {
286         ok = BN_rand_range(k, order);
287       }
288       if (!ok) {
289         OPENSSL_PUT_ERROR(ECDSA, ecdsa_sign_setup,
290                           ECDSA_R_RANDOM_NUMBER_GENERATION_FAILED);
291         goto err;
292       }
293     } while (BN_is_zero(k));
294 
295     /* We do not want timing information to leak the length of k,
296      * so we compute G*k using an equivalent scalar of fixed
297      * bit-length. */
298 
299     if (!BN_add(k, k, order)) {
300       goto err;
301     }
302     if (BN_num_bits(k) <= BN_num_bits(order)) {
303       if (!BN_add(k, k, order)) {
304         goto err;
305       }
306     }
307 
308     /* compute r the x-coordinate of generator * k */
309     if (!EC_POINT_mul(group, tmp_point, k, NULL, NULL, ctx)) {
310       OPENSSL_PUT_ERROR(ECDSA, ecdsa_sign_setup, ERR_R_EC_LIB);
311       goto err;
312     }
313     if (!EC_POINT_get_affine_coordinates_GFp(group, tmp_point, X, NULL, ctx)) {
314       OPENSSL_PUT_ERROR(ECDSA, ecdsa_sign_setup, ERR_R_EC_LIB);
315       goto err;
316     }
317 
318     if (!BN_nnmod(r, X, order, ctx)) {
319       OPENSSL_PUT_ERROR(ECDSA, ecdsa_sign_setup, ERR_R_BN_LIB);
320       goto err;
321     }
322   } while (BN_is_zero(r));
323 
324   /* compute the inverse of k */
325   if (!BN_mod_inverse(k, k, order, ctx)) {
326     OPENSSL_PUT_ERROR(ECDSA, ecdsa_sign_setup, ERR_R_BN_LIB);
327     goto err;
328   }
329   /* clear old values if necessary */
330   BN_clear_free(*rp);
331   BN_clear_free(*kinvp);
332 
333   /* save the pre-computed values  */
334   *rp = r;
335   *kinvp = k;
336   ret = 1;
337 
338 err:
339   if (!ret) {
340     BN_clear_free(k);
341     BN_clear_free(r);
342   }
343   if (ctx_in == NULL) {
344     BN_CTX_free(ctx);
345   }
346   BN_free(order);
347   EC_POINT_free(tmp_point);
348   BN_clear_free(X);
349   return ret;
350 }
351 
ECDSA_sign_setup(EC_KEY * eckey,BN_CTX * ctx,BIGNUM ** kinv,BIGNUM ** rp)352 int ECDSA_sign_setup(EC_KEY *eckey, BN_CTX *ctx, BIGNUM **kinv, BIGNUM **rp) {
353   return ecdsa_sign_setup(eckey, ctx, kinv, rp, NULL, 0);
354 }
355 
ECDSA_do_sign_ex(const uint8_t * digest,size_t digest_len,const BIGNUM * in_kinv,const BIGNUM * in_r,EC_KEY * eckey)356 ECDSA_SIG *ECDSA_do_sign_ex(const uint8_t *digest, size_t digest_len,
357                             const BIGNUM *in_kinv, const BIGNUM *in_r,
358                             EC_KEY *eckey) {
359   int ok = 0;
360   BIGNUM *kinv = NULL, *s, *m = NULL, *tmp = NULL, *order = NULL;
361   const BIGNUM *ckinv;
362   BN_CTX *ctx = NULL;
363   const EC_GROUP *group;
364   ECDSA_SIG *ret;
365   const BIGNUM *priv_key;
366 
367   if (eckey->ecdsa_meth && eckey->ecdsa_meth->sign) {
368     OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_sign_ex, ECDSA_R_NOT_IMPLEMENTED);
369     return NULL;
370   }
371 
372   group = EC_KEY_get0_group(eckey);
373   priv_key = EC_KEY_get0_private_key(eckey);
374 
375   if (group == NULL || priv_key == NULL) {
376     OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_sign_ex, ERR_R_PASSED_NULL_PARAMETER);
377     return NULL;
378   }
379 
380   ret = ECDSA_SIG_new();
381   if (!ret) {
382     OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_sign_ex, ERR_R_MALLOC_FAILURE);
383     return NULL;
384   }
385   s = ret->s;
386 
387   if ((ctx = BN_CTX_new()) == NULL || (order = BN_new()) == NULL ||
388       (tmp = BN_new()) == NULL || (m = BN_new()) == NULL) {
389     OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_sign_ex, ERR_R_MALLOC_FAILURE);
390     goto err;
391   }
392 
393   if (!EC_GROUP_get_order(group, order, ctx)) {
394     OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_sign_ex, ERR_R_EC_LIB);
395     goto err;
396   }
397   if (!digest_to_bn(m, digest, digest_len, order)) {
398     goto err;
399   }
400   for (;;) {
401     if (in_kinv == NULL || in_r == NULL) {
402       if (!ecdsa_sign_setup(eckey, ctx, &kinv, &ret->r, digest, digest_len)) {
403         OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_sign_ex, ERR_R_ECDSA_LIB);
404         goto err;
405       }
406       ckinv = kinv;
407     } else {
408       ckinv = in_kinv;
409       if (BN_copy(ret->r, in_r) == NULL) {
410         OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_sign_ex, ERR_R_MALLOC_FAILURE);
411         goto err;
412       }
413     }
414 
415     if (!BN_mod_mul(tmp, priv_key, ret->r, order, ctx)) {
416       OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_sign_ex, ERR_R_BN_LIB);
417       goto err;
418     }
419     if (!BN_mod_add_quick(s, tmp, m, order)) {
420       OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_sign_ex, ERR_R_BN_LIB);
421       goto err;
422     }
423     if (!BN_mod_mul(s, s, ckinv, order, ctx)) {
424       OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_sign_ex, ERR_R_BN_LIB);
425       goto err;
426     }
427     if (BN_is_zero(s)) {
428       /* if kinv and r have been supplied by the caller
429        * don't to generate new kinv and r values */
430       if (in_kinv != NULL && in_r != NULL) {
431         OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_sign_ex, ECDSA_R_NEED_NEW_SETUP_VALUES);
432         goto err;
433       }
434     } else {
435       /* s != 0 => we have a valid signature */
436       break;
437     }
438   }
439 
440   ok = 1;
441 
442 err:
443   if (!ok) {
444     ECDSA_SIG_free(ret);
445     ret = NULL;
446   }
447   BN_CTX_free(ctx);
448   BN_clear_free(m);
449   BN_clear_free(tmp);
450   BN_free(order);
451   BN_clear_free(kinv);
452   return ret;
453 }
454 
ECDSA_sign_ex(int type,const uint8_t * digest,size_t digest_len,uint8_t * sig,unsigned int * sig_len,const BIGNUM * kinv,const BIGNUM * r,EC_KEY * eckey)455 int ECDSA_sign_ex(int type, const uint8_t *digest, size_t digest_len,
456                   uint8_t *sig, unsigned int *sig_len, const BIGNUM *kinv,
457                   const BIGNUM *r, EC_KEY *eckey) {
458   ECDSA_SIG *s = NULL;
459 
460   if (eckey->ecdsa_meth && eckey->ecdsa_meth->sign) {
461     OPENSSL_PUT_ERROR(ECDSA, ECDSA_sign_ex, ECDSA_R_NOT_IMPLEMENTED);
462     *sig_len = 0;
463     return 0;
464   }
465 
466   s = ECDSA_do_sign_ex(digest, digest_len, kinv, r, eckey);
467   if (s == NULL) {
468     *sig_len = 0;
469     return 0;
470   }
471   *sig_len = i2d_ECDSA_SIG(s, &sig);
472   ECDSA_SIG_free(s);
473   return 1;
474 }
475