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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 <assert.h>
56 #include <string.h>
57 
58 #include <openssl/bn.h>
59 #include <openssl/err.h>
60 #include <openssl/mem.h>
61 
62 #include "../bn/internal.h"
63 #include "../ec/internal.h"
64 #include "../../internal.h"
65 
66 
67 /* digest_to_bn interprets |digest_len| bytes from |digest| as a big-endian
68  * number and sets |out| to that value. It then truncates |out| so that it's,
69  * 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)70 static int digest_to_bn(BIGNUM *out, const uint8_t *digest, size_t digest_len,
71                         const BIGNUM *order) {
72   size_t num_bits;
73 
74   num_bits = BN_num_bits(order);
75   /* Need to truncate digest if it is too long: first truncate whole
76    * bytes. */
77   if (8 * digest_len > num_bits) {
78     digest_len = (num_bits + 7) / 8;
79   }
80   if (!BN_bin2bn(digest, digest_len, out)) {
81     OPENSSL_PUT_ERROR(ECDSA, ERR_R_BN_LIB);
82     return 0;
83   }
84 
85   /* If still too long truncate remaining bits with a shift */
86   if ((8 * digest_len > num_bits) &&
87       !BN_rshift(out, out, 8 - (num_bits & 0x7))) {
88     OPENSSL_PUT_ERROR(ECDSA, ERR_R_BN_LIB);
89     return 0;
90   }
91 
92   return 1;
93 }
94 
ECDSA_SIG_new(void)95 ECDSA_SIG *ECDSA_SIG_new(void) {
96   ECDSA_SIG *sig = OPENSSL_malloc(sizeof(ECDSA_SIG));
97   if (sig == NULL) {
98     return NULL;
99   }
100   sig->r = BN_new();
101   sig->s = BN_new();
102   if (sig->r == NULL || sig->s == NULL) {
103     ECDSA_SIG_free(sig);
104     return NULL;
105   }
106   return sig;
107 }
108 
ECDSA_SIG_free(ECDSA_SIG * sig)109 void ECDSA_SIG_free(ECDSA_SIG *sig) {
110   if (sig == NULL) {
111     return;
112   }
113 
114   BN_free(sig->r);
115   BN_free(sig->s);
116   OPENSSL_free(sig);
117 }
118 
ECDSA_do_sign(const uint8_t * digest,size_t digest_len,const EC_KEY * key)119 ECDSA_SIG *ECDSA_do_sign(const uint8_t *digest, size_t digest_len,
120                          const EC_KEY *key) {
121   return ECDSA_do_sign_ex(digest, digest_len, NULL, NULL, key);
122 }
123 
ECDSA_do_verify(const uint8_t * digest,size_t digest_len,const ECDSA_SIG * sig,const EC_KEY * eckey)124 int ECDSA_do_verify(const uint8_t *digest, size_t digest_len,
125                     const ECDSA_SIG *sig, const EC_KEY *eckey) {
126   int ret = 0;
127   BN_CTX *ctx;
128   BIGNUM *u1, *u2, *m, *X;
129   EC_POINT *point = NULL;
130   const EC_GROUP *group;
131   const EC_POINT *pub_key;
132 
133   /* check input values */
134   if ((group = EC_KEY_get0_group(eckey)) == NULL ||
135       (pub_key = EC_KEY_get0_public_key(eckey)) == NULL ||
136       sig == NULL) {
137     OPENSSL_PUT_ERROR(ECDSA, ECDSA_R_MISSING_PARAMETERS);
138     return 0;
139   }
140 
141   ctx = BN_CTX_new();
142   if (!ctx) {
143     OPENSSL_PUT_ERROR(ECDSA, ERR_R_MALLOC_FAILURE);
144     return 0;
145   }
146   BN_CTX_start(ctx);
147   u1 = BN_CTX_get(ctx);
148   u2 = BN_CTX_get(ctx);
149   m = BN_CTX_get(ctx);
150   X = BN_CTX_get(ctx);
151   if (u1 == NULL || u2 == NULL || m == NULL || X == NULL) {
152     OPENSSL_PUT_ERROR(ECDSA, ERR_R_BN_LIB);
153     goto err;
154   }
155 
156   const BIGNUM *order = EC_GROUP_get0_order(group);
157   if (BN_is_zero(sig->r) || BN_is_negative(sig->r) ||
158       BN_ucmp(sig->r, order) >= 0 || BN_is_zero(sig->s) ||
159       BN_is_negative(sig->s) || BN_ucmp(sig->s, order) >= 0) {
160     OPENSSL_PUT_ERROR(ECDSA, ECDSA_R_BAD_SIGNATURE);
161     goto err;
162   }
163   /* calculate tmp1 = inv(S) mod order */
164   int no_inverse;
165   if (!BN_mod_inverse_odd(u2, &no_inverse, sig->s, order, ctx)) {
166     OPENSSL_PUT_ERROR(ECDSA, ERR_R_BN_LIB);
167     goto err;
168   }
169   if (!digest_to_bn(m, digest, digest_len, order)) {
170     goto err;
171   }
172   /* u1 = m * tmp mod order */
173   if (!BN_mod_mul(u1, m, u2, order, ctx)) {
174     OPENSSL_PUT_ERROR(ECDSA, ERR_R_BN_LIB);
175     goto err;
176   }
177   /* u2 = r * w mod q */
178   if (!BN_mod_mul(u2, sig->r, u2, order, ctx)) {
179     OPENSSL_PUT_ERROR(ECDSA, ERR_R_BN_LIB);
180     goto err;
181   }
182 
183   point = EC_POINT_new(group);
184   if (point == NULL) {
185     OPENSSL_PUT_ERROR(ECDSA, ERR_R_MALLOC_FAILURE);
186     goto err;
187   }
188   if (!EC_POINT_mul(group, point, u1, pub_key, u2, ctx)) {
189     OPENSSL_PUT_ERROR(ECDSA, ERR_R_EC_LIB);
190     goto err;
191   }
192   if (!EC_POINT_get_affine_coordinates_GFp(group, point, X, NULL, ctx)) {
193     OPENSSL_PUT_ERROR(ECDSA, ERR_R_EC_LIB);
194     goto err;
195   }
196   if (!BN_nnmod(u1, X, order, ctx)) {
197     OPENSSL_PUT_ERROR(ECDSA, ERR_R_BN_LIB);
198     goto err;
199   }
200   /* if the signature is correct u1 is equal to sig->r */
201   if (BN_ucmp(u1, sig->r) != 0) {
202     OPENSSL_PUT_ERROR(ECDSA, ECDSA_R_BAD_SIGNATURE);
203     goto err;
204   }
205 
206   ret = 1;
207 
208 err:
209   BN_CTX_end(ctx);
210   BN_CTX_free(ctx);
211   EC_POINT_free(point);
212   return ret;
213 }
214 
ecdsa_sign_setup(const EC_KEY * eckey,BN_CTX * ctx_in,BIGNUM ** kinvp,BIGNUM ** rp,const uint8_t * digest,size_t digest_len)215 static int ecdsa_sign_setup(const EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp,
216                             BIGNUM **rp, const uint8_t *digest,
217                             size_t digest_len) {
218   BN_CTX *ctx = NULL;
219   BIGNUM *k = NULL, *kinv = NULL, *r = NULL, *tmp = NULL;
220   EC_POINT *tmp_point = NULL;
221   const EC_GROUP *group;
222   int ret = 0;
223 
224   if (eckey == NULL || (group = EC_KEY_get0_group(eckey)) == NULL) {
225     OPENSSL_PUT_ERROR(ECDSA, ERR_R_PASSED_NULL_PARAMETER);
226     return 0;
227   }
228 
229   if (ctx_in == NULL) {
230     if ((ctx = BN_CTX_new()) == NULL) {
231       OPENSSL_PUT_ERROR(ECDSA, ERR_R_MALLOC_FAILURE);
232       return 0;
233     }
234   } else {
235     ctx = ctx_in;
236   }
237 
238   k = BN_new();
239   kinv = BN_new(); /* this value is later returned in *kinvp */
240   r = BN_new(); /* this value is later returned in *rp    */
241   tmp = BN_new();
242   if (k == NULL || kinv == NULL || r == NULL || tmp == NULL) {
243     OPENSSL_PUT_ERROR(ECDSA, ERR_R_MALLOC_FAILURE);
244     goto err;
245   }
246   tmp_point = EC_POINT_new(group);
247   if (tmp_point == NULL) {
248     OPENSSL_PUT_ERROR(ECDSA, ERR_R_EC_LIB);
249     goto err;
250   }
251 
252   const BIGNUM *order = EC_GROUP_get0_order(group);
253 
254   /* Check that the size of the group order is FIPS compliant (FIPS 186-4
255    * B.5.2). */
256   if (BN_num_bits(order) < 160) {
257     OPENSSL_PUT_ERROR(ECDSA, EC_R_INVALID_GROUP_ORDER);
258     goto err;
259   }
260 
261   do {
262     /* If possible, we'll include the private key and message digest in the k
263      * generation. The |digest| argument is only empty if |ECDSA_sign_setup| is
264      * being used. */
265     if (eckey->fixed_k != NULL) {
266       if (!BN_copy(k, eckey->fixed_k)) {
267         goto err;
268       }
269     } else if (digest_len > 0) {
270       do {
271         if (!BN_generate_dsa_nonce(k, order, EC_KEY_get0_private_key(eckey),
272                                    digest, digest_len, ctx)) {
273           OPENSSL_PUT_ERROR(ECDSA, ECDSA_R_RANDOM_NUMBER_GENERATION_FAILED);
274           goto err;
275         }
276       } while (BN_is_zero(k));
277     } else if (!BN_rand_range_ex(k, 1, order)) {
278       OPENSSL_PUT_ERROR(ECDSA, ECDSA_R_RANDOM_NUMBER_GENERATION_FAILED);
279       goto err;
280     }
281 
282     /* Compute the inverse of k. The order is a prime, so use Fermat's Little
283      * Theorem. Note |ec_group_get_mont_data| may return NULL but
284      * |bn_mod_inverse_prime| allows this. */
285     if (!bn_mod_inverse_prime(kinv, k, order, ctx,
286                               ec_group_get_mont_data(group))) {
287       OPENSSL_PUT_ERROR(ECDSA, ERR_R_BN_LIB);
288       goto err;
289     }
290 
291     /* We do not want timing information to leak the length of k,
292      * so we compute G*k using an equivalent scalar of fixed
293      * bit-length. */
294 
295     if (!BN_add(k, k, order)) {
296       goto err;
297     }
298     if (BN_num_bits(k) <= BN_num_bits(order)) {
299       if (!BN_add(k, k, order)) {
300         goto err;
301       }
302     }
303 
304     /* compute r the x-coordinate of generator * k */
305     if (!EC_POINT_mul(group, tmp_point, k, NULL, NULL, ctx)) {
306       OPENSSL_PUT_ERROR(ECDSA, ERR_R_EC_LIB);
307       goto err;
308     }
309     if (!EC_POINT_get_affine_coordinates_GFp(group, tmp_point, tmp, NULL,
310                                              ctx)) {
311       OPENSSL_PUT_ERROR(ECDSA, ERR_R_EC_LIB);
312       goto err;
313     }
314 
315     if (!BN_nnmod(r, tmp, order, ctx)) {
316       OPENSSL_PUT_ERROR(ECDSA, ERR_R_BN_LIB);
317       goto err;
318     }
319   } while (BN_is_zero(r));
320 
321   /* clear old values if necessary */
322   BN_clear_free(*rp);
323   BN_clear_free(*kinvp);
324 
325   /* save the pre-computed values  */
326   *rp = r;
327   *kinvp = kinv;
328   ret = 1;
329 
330 err:
331   BN_clear_free(k);
332   if (!ret) {
333     BN_clear_free(kinv);
334     BN_clear_free(r);
335   }
336   if (ctx_in == NULL) {
337     BN_CTX_free(ctx);
338   }
339   EC_POINT_free(tmp_point);
340   BN_clear_free(tmp);
341   return ret;
342 }
343 
ECDSA_sign_setup(const EC_KEY * eckey,BN_CTX * ctx,BIGNUM ** kinv,BIGNUM ** rp)344 int ECDSA_sign_setup(const EC_KEY *eckey, BN_CTX *ctx, BIGNUM **kinv,
345                      BIGNUM **rp) {
346   return ecdsa_sign_setup(eckey, ctx, kinv, rp, NULL, 0);
347 }
348 
ECDSA_do_sign_ex(const uint8_t * digest,size_t digest_len,const BIGNUM * in_kinv,const BIGNUM * in_r,const EC_KEY * eckey)349 ECDSA_SIG *ECDSA_do_sign_ex(const uint8_t *digest, size_t digest_len,
350                             const BIGNUM *in_kinv, const BIGNUM *in_r,
351                             const EC_KEY *eckey) {
352   int ok = 0;
353   BIGNUM *kinv = NULL, *s, *m = NULL, *tmp = NULL;
354   const BIGNUM *ckinv;
355   BN_CTX *ctx = NULL;
356   const EC_GROUP *group;
357   ECDSA_SIG *ret;
358   const BIGNUM *priv_key;
359 
360   if (eckey->ecdsa_meth && eckey->ecdsa_meth->sign) {
361     OPENSSL_PUT_ERROR(ECDSA, ECDSA_R_NOT_IMPLEMENTED);
362     return NULL;
363   }
364 
365   group = EC_KEY_get0_group(eckey);
366   priv_key = EC_KEY_get0_private_key(eckey);
367 
368   if (group == NULL || priv_key == NULL) {
369     OPENSSL_PUT_ERROR(ECDSA, ERR_R_PASSED_NULL_PARAMETER);
370     return NULL;
371   }
372 
373   ret = ECDSA_SIG_new();
374   if (!ret) {
375     OPENSSL_PUT_ERROR(ECDSA, ERR_R_MALLOC_FAILURE);
376     return NULL;
377   }
378   s = ret->s;
379 
380   if ((ctx = BN_CTX_new()) == NULL ||
381       (tmp = BN_new()) == NULL ||
382       (m = BN_new()) == NULL) {
383     OPENSSL_PUT_ERROR(ECDSA, ERR_R_MALLOC_FAILURE);
384     goto err;
385   }
386 
387   const BIGNUM *order = EC_GROUP_get0_order(group);
388 
389   if (!digest_to_bn(m, digest, digest_len, order)) {
390     goto err;
391   }
392   for (;;) {
393     if (in_kinv == NULL || in_r == NULL) {
394       if (!ecdsa_sign_setup(eckey, ctx, &kinv, &ret->r, digest, digest_len)) {
395         OPENSSL_PUT_ERROR(ECDSA, ERR_R_ECDSA_LIB);
396         goto err;
397       }
398       ckinv = kinv;
399     } else {
400       ckinv = in_kinv;
401       if (BN_copy(ret->r, in_r) == NULL) {
402         OPENSSL_PUT_ERROR(ECDSA, ERR_R_MALLOC_FAILURE);
403         goto err;
404       }
405     }
406 
407     if (!BN_mod_mul(tmp, priv_key, ret->r, order, ctx)) {
408       OPENSSL_PUT_ERROR(ECDSA, ERR_R_BN_LIB);
409       goto err;
410     }
411     if (!BN_mod_add_quick(s, tmp, m, order)) {
412       OPENSSL_PUT_ERROR(ECDSA, ERR_R_BN_LIB);
413       goto err;
414     }
415     if (!BN_mod_mul(s, s, ckinv, order, ctx)) {
416       OPENSSL_PUT_ERROR(ECDSA, ERR_R_BN_LIB);
417       goto err;
418     }
419     if (BN_is_zero(s)) {
420       /* if kinv and r have been supplied by the caller
421        * don't to generate new kinv and r values */
422       if (in_kinv != NULL && in_r != NULL) {
423         OPENSSL_PUT_ERROR(ECDSA, ECDSA_R_NEED_NEW_SETUP_VALUES);
424         goto err;
425       }
426     } else {
427       /* s != 0 => we have a valid signature */
428       break;
429     }
430   }
431 
432   ok = 1;
433 
434 err:
435   if (!ok) {
436     ECDSA_SIG_free(ret);
437     ret = NULL;
438   }
439   BN_CTX_free(ctx);
440   BN_clear_free(m);
441   BN_clear_free(tmp);
442   BN_clear_free(kinv);
443   return ret;
444 }
445