xref: /dragonfly/crypto/libressl/crypto/rsa/rsa_eay.c (revision c090269b)
1 /* $OpenBSD: rsa_eay.c,v 1.54 2022/01/20 11:10:11 inoguchi Exp $ */
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  * Copyright (c) 1998-2006 The OpenSSL Project.  All rights reserved.
60  *
61  * Redistribution and use in source and binary forms, with or without
62  * modification, are permitted provided that the following conditions
63  * are met:
64  *
65  * 1. Redistributions of source code must retain the above copyright
66  *    notice, this list of conditions and the following disclaimer.
67  *
68  * 2. Redistributions in binary form must reproduce the above copyright
69  *    notice, this list of conditions and the following disclaimer in
70  *    the documentation and/or other materials provided with the
71  *    distribution.
72  *
73  * 3. All advertising materials mentioning features or use of this
74  *    software must display the following acknowledgment:
75  *    "This product includes software developed by the OpenSSL Project
76  *    for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
77  *
78  * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
79  *    endorse or promote products derived from this software without
80  *    prior written permission. For written permission, please contact
81  *    openssl-core@openssl.org.
82  *
83  * 5. Products derived from this software may not be called "OpenSSL"
84  *    nor may "OpenSSL" appear in their names without prior written
85  *    permission of the OpenSSL Project.
86  *
87  * 6. Redistributions of any form whatsoever must retain the following
88  *    acknowledgment:
89  *    "This product includes software developed by the OpenSSL Project
90  *    for use in the OpenSSL Toolkit (http://www.openssl.org/)"
91  *
92  * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
93  * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
94  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
95  * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE OpenSSL PROJECT OR
96  * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
97  * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
98  * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
99  * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
100  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
101  * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
102  * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
103  * OF THE POSSIBILITY OF SUCH DAMAGE.
104  * ====================================================================
105  *
106  * This product includes cryptographic software written by Eric Young
107  * (eay@cryptsoft.com).  This product includes software written by Tim
108  * Hudson (tjh@cryptsoft.com).
109  *
110  */
111 
112 #include <stdio.h>
113 #include <string.h>
114 
115 #include <openssl/opensslconf.h>
116 
117 #include <openssl/bn.h>
118 #include <openssl/err.h>
119 #include <openssl/rsa.h>
120 
121 #include "bn_lcl.h"
122 #include "rsa_locl.h"
123 
124 static int RSA_eay_public_encrypt(int flen, const unsigned char *from,
125     unsigned char *to, RSA *rsa, int padding);
126 static int RSA_eay_private_encrypt(int flen, const unsigned char *from,
127     unsigned char *to, RSA *rsa, int padding);
128 static int RSA_eay_public_decrypt(int flen, const unsigned char *from,
129     unsigned char *to, RSA *rsa, int padding);
130 static int RSA_eay_private_decrypt(int flen, const unsigned char *from,
131     unsigned char *to, RSA *rsa, int padding);
132 static int RSA_eay_mod_exp(BIGNUM *r0, const BIGNUM *i, RSA *rsa, BN_CTX *ctx);
133 static int RSA_eay_init(RSA *rsa);
134 static int RSA_eay_finish(RSA *rsa);
135 
136 static RSA_METHOD rsa_pkcs1_eay_meth = {
137 	.name = "Eric Young's PKCS#1 RSA",
138 	.rsa_pub_enc = RSA_eay_public_encrypt,
139 	.rsa_pub_dec = RSA_eay_public_decrypt, /* signature verification */
140 	.rsa_priv_enc = RSA_eay_private_encrypt, /* signing */
141 	.rsa_priv_dec = RSA_eay_private_decrypt,
142 	.rsa_mod_exp = RSA_eay_mod_exp,
143 	.bn_mod_exp = BN_mod_exp_mont_ct, /* XXX probably we should not use Montgomery if  e == 3 */
144 	.init = RSA_eay_init,
145 	.finish = RSA_eay_finish,
146 };
147 
148 const RSA_METHOD *
149 RSA_PKCS1_OpenSSL(void)
150 {
151 	return &rsa_pkcs1_eay_meth;
152 }
153 
154 const RSA_METHOD *
155 RSA_PKCS1_SSLeay(void)
156 {
157 	return &rsa_pkcs1_eay_meth;
158 }
159 
160 static int
161 RSA_eay_public_encrypt(int flen, const unsigned char *from, unsigned char *to,
162     RSA *rsa, int padding)
163 {
164 	BIGNUM *f, *ret;
165 	int i, j, k, num = 0, r = -1;
166 	unsigned char *buf = NULL;
167 	BN_CTX *ctx = NULL;
168 
169 	if (BN_num_bits(rsa->n) > OPENSSL_RSA_MAX_MODULUS_BITS) {
170 		RSAerror(RSA_R_MODULUS_TOO_LARGE);
171 		return -1;
172 	}
173 
174 	if (BN_ucmp(rsa->n, rsa->e) <= 0) {
175 		RSAerror(RSA_R_BAD_E_VALUE);
176 		return -1;
177 	}
178 
179 	/* for large moduli, enforce exponent limit */
180 	if (BN_num_bits(rsa->n) > OPENSSL_RSA_SMALL_MODULUS_BITS) {
181 		if (BN_num_bits(rsa->e) > OPENSSL_RSA_MAX_PUBEXP_BITS) {
182 			RSAerror(RSA_R_BAD_E_VALUE);
183 			return -1;
184 		}
185 	}
186 
187 	if ((ctx = BN_CTX_new()) == NULL)
188 		goto err;
189 
190 	BN_CTX_start(ctx);
191 	f = BN_CTX_get(ctx);
192 	ret = BN_CTX_get(ctx);
193 	num = BN_num_bytes(rsa->n);
194 	buf = malloc(num);
195 
196 	if (f == NULL || ret == NULL || buf == NULL) {
197 		RSAerror(ERR_R_MALLOC_FAILURE);
198 		goto err;
199 	}
200 
201 	switch (padding) {
202 	case RSA_PKCS1_PADDING:
203 		i = RSA_padding_add_PKCS1_type_2(buf, num, from, flen);
204 		break;
205 #ifndef OPENSSL_NO_SHA
206 	case RSA_PKCS1_OAEP_PADDING:
207 		i = RSA_padding_add_PKCS1_OAEP(buf, num, from, flen, NULL, 0);
208 		break;
209 #endif
210 	case RSA_NO_PADDING:
211 		i = RSA_padding_add_none(buf, num, from, flen);
212 		break;
213 	default:
214 		RSAerror(RSA_R_UNKNOWN_PADDING_TYPE);
215 		goto err;
216 	}
217 	if (i <= 0)
218 		goto err;
219 
220 	if (BN_bin2bn(buf, num, f) == NULL)
221 		goto err;
222 
223 	if (BN_ucmp(f, rsa->n) >= 0) {
224 		/* usually the padding functions would catch this */
225 		RSAerror(RSA_R_DATA_TOO_LARGE_FOR_MODULUS);
226 		goto err;
227 	}
228 
229 	if (rsa->flags & RSA_FLAG_CACHE_PUBLIC)
230 		if (!BN_MONT_CTX_set_locked(&rsa->_method_mod_n,
231 		    CRYPTO_LOCK_RSA, rsa->n, ctx))
232 			goto err;
233 
234 	if (!rsa->meth->bn_mod_exp(ret, f, rsa->e, rsa->n, ctx,
235 	    rsa->_method_mod_n))
236 		goto err;
237 
238 	/* put in leading 0 bytes if the number is less than the
239 	 * length of the modulus */
240 	j = BN_num_bytes(ret);
241 	i = BN_bn2bin(ret, &(to[num - j]));
242 	for (k = 0; k < num - i; k++)
243 		to[k] = 0;
244 
245 	r = num;
246 err:
247 	if (ctx != NULL) {
248 		BN_CTX_end(ctx);
249 		BN_CTX_free(ctx);
250 	}
251 	freezero(buf, num);
252 	return r;
253 }
254 
255 static BN_BLINDING *
256 rsa_get_blinding(RSA *rsa, int *local, BN_CTX *ctx)
257 {
258 	BN_BLINDING *ret;
259 	int got_write_lock = 0;
260 	CRYPTO_THREADID cur;
261 
262 	CRYPTO_r_lock(CRYPTO_LOCK_RSA);
263 
264 	if (rsa->blinding == NULL) {
265 		CRYPTO_r_unlock(CRYPTO_LOCK_RSA);
266 		CRYPTO_w_lock(CRYPTO_LOCK_RSA);
267 		got_write_lock = 1;
268 
269 		if (rsa->blinding == NULL)
270 			rsa->blinding = RSA_setup_blinding(rsa, ctx);
271 	}
272 
273 	ret = rsa->blinding;
274 	if (ret == NULL)
275 		goto err;
276 
277 	CRYPTO_THREADID_current(&cur);
278 	if (!CRYPTO_THREADID_cmp(&cur, BN_BLINDING_thread_id(ret))) {
279 		/* rsa->blinding is ours! */
280 		*local = 1;
281 	} else {
282 		/* resort to rsa->mt_blinding instead */
283 		/*
284 		 * Instruct rsa_blinding_convert(), rsa_blinding_invert()
285 		 * that the BN_BLINDING is shared, meaning that accesses
286 		 * require locks, and that the blinding factor must be
287 		 * stored outside the BN_BLINDING
288 		 */
289 		*local = 0;
290 
291 		if (rsa->mt_blinding == NULL) {
292 			if (!got_write_lock) {
293 				CRYPTO_r_unlock(CRYPTO_LOCK_RSA);
294 				CRYPTO_w_lock(CRYPTO_LOCK_RSA);
295 				got_write_lock = 1;
296 			}
297 
298 			if (rsa->mt_blinding == NULL)
299 				rsa->mt_blinding = RSA_setup_blinding(rsa, ctx);
300 		}
301 		ret = rsa->mt_blinding;
302 	}
303 
304 err:
305 	if (got_write_lock)
306 		CRYPTO_w_unlock(CRYPTO_LOCK_RSA);
307 	else
308 		CRYPTO_r_unlock(CRYPTO_LOCK_RSA);
309 	return ret;
310 }
311 
312 static int
313 rsa_blinding_convert(BN_BLINDING *b, BIGNUM *f, BIGNUM *unblind, BN_CTX *ctx)
314 {
315 	if (unblind == NULL)
316 		/*
317 		 * Local blinding: store the unblinding factor
318 		 * in BN_BLINDING.
319 		 */
320 		return BN_BLINDING_convert_ex(f, NULL, b, ctx);
321 	else {
322 		/*
323 		 * Shared blinding: store the unblinding factor
324 		 * outside BN_BLINDING.
325 		 */
326 		int ret;
327 		CRYPTO_w_lock(CRYPTO_LOCK_RSA_BLINDING);
328 		ret = BN_BLINDING_convert_ex(f, unblind, b, ctx);
329 		CRYPTO_w_unlock(CRYPTO_LOCK_RSA_BLINDING);
330 		return ret;
331 	}
332 }
333 
334 static int
335 rsa_blinding_invert(BN_BLINDING *b, BIGNUM *f, BIGNUM *unblind, BN_CTX *ctx)
336 {
337 	/*
338 	 * For local blinding, unblind is set to NULL, and BN_BLINDING_invert_ex
339 	 * will use the unblinding factor stored in BN_BLINDING.
340 	 * If BN_BLINDING is shared between threads, unblind must be non-null:
341 	 * BN_BLINDING_invert_ex will then use the local unblinding factor,
342 	 * and will only read the modulus from BN_BLINDING.
343 	 * In both cases it's safe to access the blinding without a lock.
344 	 */
345 	return BN_BLINDING_invert_ex(f, unblind, b, ctx);
346 }
347 
348 /* signing */
349 static int
350 RSA_eay_private_encrypt(int flen, const unsigned char *from, unsigned char *to,
351     RSA *rsa, int padding)
352 {
353 	BIGNUM *f, *ret, *res;
354 	int i, j, k, num = 0, r = -1;
355 	unsigned char *buf = NULL;
356 	BN_CTX *ctx = NULL;
357 	int local_blinding = 0;
358 	/*
359 	 * Used only if the blinding structure is shared. A non-NULL unblind
360 	 * instructs rsa_blinding_convert() and rsa_blinding_invert() to store
361 	 * the unblinding factor outside the blinding structure.
362 	 */
363 	BIGNUM *unblind = NULL;
364 	BN_BLINDING *blinding = NULL;
365 
366 	if ((ctx = BN_CTX_new()) == NULL)
367 		goto err;
368 
369 	BN_CTX_start(ctx);
370 	f = BN_CTX_get(ctx);
371 	ret = BN_CTX_get(ctx);
372 	num = BN_num_bytes(rsa->n);
373 	buf = malloc(num);
374 
375 	if (f == NULL || ret == NULL || buf == NULL) {
376 		RSAerror(ERR_R_MALLOC_FAILURE);
377 		goto err;
378 	}
379 
380 	switch (padding) {
381 	case RSA_PKCS1_PADDING:
382 		i = RSA_padding_add_PKCS1_type_1(buf, num, from, flen);
383 		break;
384 	case RSA_X931_PADDING:
385 		i = RSA_padding_add_X931(buf, num, from, flen);
386 		break;
387 	case RSA_NO_PADDING:
388 		i = RSA_padding_add_none(buf, num, from, flen);
389 		break;
390 	default:
391 		RSAerror(RSA_R_UNKNOWN_PADDING_TYPE);
392 		goto err;
393 	}
394 	if (i <= 0)
395 		goto err;
396 
397 	if (BN_bin2bn(buf, num, f) == NULL)
398 		goto err;
399 
400 	if (BN_ucmp(f, rsa->n) >= 0) {
401 		/* usually the padding functions would catch this */
402 		RSAerror(RSA_R_DATA_TOO_LARGE_FOR_MODULUS);
403 		goto err;
404 	}
405 
406 	if (!(rsa->flags & RSA_FLAG_NO_BLINDING)) {
407 		blinding = rsa_get_blinding(rsa, &local_blinding, ctx);
408 		if (blinding == NULL) {
409 			RSAerror(ERR_R_INTERNAL_ERROR);
410 			goto err;
411 		}
412 	}
413 
414 	if (blinding != NULL) {
415 		if (!local_blinding && ((unblind = BN_CTX_get(ctx)) == NULL)) {
416 			RSAerror(ERR_R_MALLOC_FAILURE);
417 			goto err;
418 		}
419 		if (!rsa_blinding_convert(blinding, f, unblind, ctx))
420 			goto err;
421 	}
422 
423 	if ((rsa->flags & RSA_FLAG_EXT_PKEY) ||
424 	    (rsa->p != NULL && rsa->q != NULL && rsa->dmp1 != NULL &&
425 	    rsa->dmq1 != NULL && rsa->iqmp != NULL)) {
426 		if (!rsa->meth->rsa_mod_exp(ret, f, rsa, ctx))
427 			goto err;
428 	} else {
429 		BIGNUM d;
430 
431 		BN_init(&d);
432 		BN_with_flags(&d, rsa->d, BN_FLG_CONSTTIME);
433 
434 		if (rsa->flags & RSA_FLAG_CACHE_PUBLIC)
435 			if (!BN_MONT_CTX_set_locked(&rsa->_method_mod_n,
436 			    CRYPTO_LOCK_RSA, rsa->n, ctx))
437 				goto err;
438 
439 		if (!rsa->meth->bn_mod_exp(ret, f, &d, rsa->n, ctx,
440 		    rsa->_method_mod_n)) {
441 			goto err;
442 		}
443 	}
444 
445 	if (blinding)
446 		if (!rsa_blinding_invert(blinding, ret, unblind, ctx))
447 			goto err;
448 
449 	if (padding == RSA_X931_PADDING) {
450 		if (!BN_sub(f, rsa->n, ret))
451 			goto err;
452 		if (BN_cmp(ret, f) > 0)
453 			res = f;
454 		else
455 			res = ret;
456 	} else
457 		res = ret;
458 
459 	/* put in leading 0 bytes if the number is less than the
460 	 * length of the modulus */
461 	j = BN_num_bytes(res);
462 	i = BN_bn2bin(res, &(to[num - j]));
463 	for (k = 0; k < num - i; k++)
464 		to[k] = 0;
465 
466 	r = num;
467 err:
468 	if (ctx != NULL) {
469 		BN_CTX_end(ctx);
470 		BN_CTX_free(ctx);
471 	}
472 	freezero(buf, num);
473 	return r;
474 }
475 
476 static int
477 RSA_eay_private_decrypt(int flen, const unsigned char *from, unsigned char *to,
478     RSA *rsa, int padding)
479 {
480 	BIGNUM *f, *ret;
481 	int j, num = 0, r = -1;
482 	unsigned char *p;
483 	unsigned char *buf = NULL;
484 	BN_CTX *ctx = NULL;
485 	int local_blinding = 0;
486 	/*
487 	 * Used only if the blinding structure is shared. A non-NULL unblind
488 	 * instructs rsa_blinding_convert() and rsa_blinding_invert() to store
489 	 * the unblinding factor outside the blinding structure.
490 	 */
491 	BIGNUM *unblind = NULL;
492 	BN_BLINDING *blinding = NULL;
493 
494 	if ((ctx = BN_CTX_new()) == NULL)
495 		goto err;
496 
497 	BN_CTX_start(ctx);
498 	f = BN_CTX_get(ctx);
499 	ret = BN_CTX_get(ctx);
500 	num = BN_num_bytes(rsa->n);
501 	buf = malloc(num);
502 
503 	if (!f || !ret || !buf) {
504 		RSAerror(ERR_R_MALLOC_FAILURE);
505 		goto err;
506 	}
507 
508 	/* This check was for equality but PGP does evil things
509 	 * and chops off the top '0' bytes */
510 	if (flen > num) {
511 		RSAerror(RSA_R_DATA_GREATER_THAN_MOD_LEN);
512 		goto err;
513 	}
514 
515 	/* make data into a big number */
516 	if (BN_bin2bn(from, (int)flen, f) == NULL)
517 		goto err;
518 
519 	if (BN_ucmp(f, rsa->n) >= 0) {
520 		RSAerror(RSA_R_DATA_TOO_LARGE_FOR_MODULUS);
521 		goto err;
522 	}
523 
524 	if (!(rsa->flags & RSA_FLAG_NO_BLINDING)) {
525 		blinding = rsa_get_blinding(rsa, &local_blinding, ctx);
526 		if (blinding == NULL) {
527 			RSAerror(ERR_R_INTERNAL_ERROR);
528 			goto err;
529 		}
530 	}
531 
532 	if (blinding != NULL) {
533 		if (!local_blinding && ((unblind = BN_CTX_get(ctx)) == NULL)) {
534 			RSAerror(ERR_R_MALLOC_FAILURE);
535 			goto err;
536 		}
537 		if (!rsa_blinding_convert(blinding, f, unblind, ctx))
538 			goto err;
539 	}
540 
541 	/* do the decrypt */
542 	if ((rsa->flags & RSA_FLAG_EXT_PKEY) ||
543 	    (rsa->p != NULL && rsa->q != NULL && rsa->dmp1 != NULL &&
544 	    rsa->dmq1 != NULL && rsa->iqmp != NULL)) {
545 		if (!rsa->meth->rsa_mod_exp(ret, f, rsa, ctx))
546 			goto err;
547 	} else {
548 		BIGNUM d;
549 
550 		BN_init(&d);
551 		BN_with_flags(&d, rsa->d, BN_FLG_CONSTTIME);
552 
553 		if (rsa->flags & RSA_FLAG_CACHE_PUBLIC)
554 			if (!BN_MONT_CTX_set_locked(&rsa->_method_mod_n,
555 			    CRYPTO_LOCK_RSA, rsa->n, ctx))
556 				goto err;
557 
558 		if (!rsa->meth->bn_mod_exp(ret, f, &d, rsa->n, ctx,
559 		    rsa->_method_mod_n)) {
560 			goto err;
561 		}
562 	}
563 
564 	if (blinding)
565 		if (!rsa_blinding_invert(blinding, ret, unblind, ctx))
566 			goto err;
567 
568 	p = buf;
569 	j = BN_bn2bin(ret, p); /* j is only used with no-padding mode */
570 
571 	switch (padding) {
572 	case RSA_PKCS1_PADDING:
573 		r = RSA_padding_check_PKCS1_type_2(to, num, buf, j, num);
574 		break;
575 #ifndef OPENSSL_NO_SHA
576 	case RSA_PKCS1_OAEP_PADDING:
577 		r = RSA_padding_check_PKCS1_OAEP(to, num, buf, j, num, NULL, 0);
578 		break;
579 #endif
580 	case RSA_NO_PADDING:
581 		r = RSA_padding_check_none(to, num, buf, j, num);
582 		break;
583 	default:
584 		RSAerror(RSA_R_UNKNOWN_PADDING_TYPE);
585 		goto err;
586 	}
587 	if (r < 0)
588 		RSAerror(RSA_R_PADDING_CHECK_FAILED);
589 
590 err:
591 	if (ctx != NULL) {
592 		BN_CTX_end(ctx);
593 		BN_CTX_free(ctx);
594 	}
595 	freezero(buf, num);
596 	return r;
597 }
598 
599 /* signature verification */
600 static int
601 RSA_eay_public_decrypt(int flen, const unsigned char *from, unsigned char *to,
602     RSA *rsa, int padding)
603 {
604 	BIGNUM *f, *ret;
605 	int i, num = 0, r = -1;
606 	unsigned char *p;
607 	unsigned char *buf = NULL;
608 	BN_CTX *ctx = NULL;
609 
610 	if (BN_num_bits(rsa->n) > OPENSSL_RSA_MAX_MODULUS_BITS) {
611 		RSAerror(RSA_R_MODULUS_TOO_LARGE);
612 		return -1;
613 	}
614 
615 	if (BN_ucmp(rsa->n, rsa->e) <= 0) {
616 		RSAerror(RSA_R_BAD_E_VALUE);
617 		return -1;
618 	}
619 
620 	/* for large moduli, enforce exponent limit */
621 	if (BN_num_bits(rsa->n) > OPENSSL_RSA_SMALL_MODULUS_BITS) {
622 		if (BN_num_bits(rsa->e) > OPENSSL_RSA_MAX_PUBEXP_BITS) {
623 			RSAerror(RSA_R_BAD_E_VALUE);
624 			return -1;
625 		}
626 	}
627 
628 	if ((ctx = BN_CTX_new()) == NULL)
629 		goto err;
630 
631 	BN_CTX_start(ctx);
632 	f = BN_CTX_get(ctx);
633 	ret = BN_CTX_get(ctx);
634 	num = BN_num_bytes(rsa->n);
635 	buf = malloc(num);
636 
637 	if (!f || !ret || !buf) {
638 		RSAerror(ERR_R_MALLOC_FAILURE);
639 		goto err;
640 	}
641 
642 	/* This check was for equality but PGP does evil things
643 	 * and chops off the top '0' bytes */
644 	if (flen > num) {
645 		RSAerror(RSA_R_DATA_GREATER_THAN_MOD_LEN);
646 		goto err;
647 	}
648 
649 	if (BN_bin2bn(from, flen, f) == NULL)
650 		goto err;
651 
652 	if (BN_ucmp(f, rsa->n) >= 0) {
653 		RSAerror(RSA_R_DATA_TOO_LARGE_FOR_MODULUS);
654 		goto err;
655 	}
656 
657 	if (rsa->flags & RSA_FLAG_CACHE_PUBLIC)
658 		if (!BN_MONT_CTX_set_locked(&rsa->_method_mod_n,
659 		    CRYPTO_LOCK_RSA, rsa->n, ctx))
660 			goto err;
661 
662 	if (!rsa->meth->bn_mod_exp(ret, f, rsa->e, rsa->n, ctx,
663 	    rsa->_method_mod_n))
664 		goto err;
665 
666 	if (padding == RSA_X931_PADDING && (ret->d[0] & 0xf) != 12)
667 		if (!BN_sub(ret, rsa->n, ret))
668 			goto err;
669 
670 	p = buf;
671 	i = BN_bn2bin(ret, p);
672 
673 	switch (padding) {
674 	case RSA_PKCS1_PADDING:
675 		r = RSA_padding_check_PKCS1_type_1(to, num, buf, i, num);
676 		break;
677 	case RSA_X931_PADDING:
678 		r = RSA_padding_check_X931(to, num, buf, i, num);
679 		break;
680 	case RSA_NO_PADDING:
681 		r = RSA_padding_check_none(to, num, buf, i, num);
682 		break;
683 	default:
684 		RSAerror(RSA_R_UNKNOWN_PADDING_TYPE);
685 		goto err;
686 	}
687 	if (r < 0)
688 		RSAerror(RSA_R_PADDING_CHECK_FAILED);
689 
690 err:
691 	if (ctx != NULL) {
692 		BN_CTX_end(ctx);
693 		BN_CTX_free(ctx);
694 	}
695 	freezero(buf, num);
696 	return r;
697 }
698 
699 static int
700 RSA_eay_mod_exp(BIGNUM *r0, const BIGNUM *I, RSA *rsa, BN_CTX *ctx)
701 {
702 	BIGNUM *r1, *m1, *vrfy;
703 	BIGNUM dmp1, dmq1, c, pr1;
704 	int ret = 0;
705 
706 	BN_CTX_start(ctx);
707 	r1 = BN_CTX_get(ctx);
708 	m1 = BN_CTX_get(ctx);
709 	vrfy = BN_CTX_get(ctx);
710 	if (r1 == NULL || m1 == NULL || vrfy == NULL) {
711 		RSAerror(ERR_R_MALLOC_FAILURE);
712 		goto err;
713 	}
714 
715 	{
716 		BIGNUM p, q;
717 
718 		/*
719 		 * Make sure BN_mod_inverse in Montgomery intialization uses the
720 		 * BN_FLG_CONSTTIME flag
721 		 */
722 		BN_init(&p);
723 		BN_init(&q);
724 		BN_with_flags(&p, rsa->p, BN_FLG_CONSTTIME);
725 		BN_with_flags(&q, rsa->q, BN_FLG_CONSTTIME);
726 
727 		if (rsa->flags & RSA_FLAG_CACHE_PRIVATE) {
728 			if (!BN_MONT_CTX_set_locked(&rsa->_method_mod_p,
729 			     CRYPTO_LOCK_RSA, &p, ctx) ||
730 			    !BN_MONT_CTX_set_locked(&rsa->_method_mod_q,
731 			     CRYPTO_LOCK_RSA, &q, ctx)) {
732 				goto err;
733 			}
734 		}
735 	}
736 
737 	if (rsa->flags & RSA_FLAG_CACHE_PUBLIC)
738 		if (!BN_MONT_CTX_set_locked(&rsa->_method_mod_n,
739 		    CRYPTO_LOCK_RSA, rsa->n, ctx))
740 			goto err;
741 
742 	/* compute I mod q */
743 	BN_init(&c);
744 	BN_with_flags(&c, I, BN_FLG_CONSTTIME);
745 
746 	if (!BN_mod_ct(r1, &c, rsa->q, ctx))
747 		goto err;
748 
749 	/* compute r1^dmq1 mod q */
750 	BN_init(&dmq1);
751 	BN_with_flags(&dmq1, rsa->dmq1, BN_FLG_CONSTTIME);
752 
753 	if (!rsa->meth->bn_mod_exp(m1, r1, &dmq1, rsa->q, ctx,
754 	    rsa->_method_mod_q))
755 		goto err;
756 
757 	/* compute I mod p */
758 	BN_init(&c);
759 	BN_with_flags(&c, I, BN_FLG_CONSTTIME);
760 
761 	if (!BN_mod_ct(r1, &c, rsa->p, ctx))
762 		goto err;
763 
764 	/* compute r1^dmp1 mod p */
765 	BN_init(&dmp1);
766 	BN_with_flags(&dmp1, rsa->dmp1, BN_FLG_CONSTTIME);
767 
768 	if (!rsa->meth->bn_mod_exp(r0, r1, &dmp1, rsa->p, ctx,
769 	    rsa->_method_mod_p))
770 		goto err;
771 
772 	if (!BN_sub(r0, r0, m1))
773 		goto err;
774 
775 	/*
776 	 * This will help stop the size of r0 increasing, which does
777 	 * affect the multiply if it optimised for a power of 2 size
778 	 */
779 	if (BN_is_negative(r0))
780 		if (!BN_add(r0, r0, rsa->p))
781 			goto err;
782 
783 	if (!BN_mul(r1, r0, rsa->iqmp, ctx))
784 		goto err;
785 
786 	/* Turn BN_FLG_CONSTTIME flag on before division operation */
787 	BN_init(&pr1);
788 	BN_with_flags(&pr1, r1, BN_FLG_CONSTTIME);
789 
790 	if (!BN_mod_ct(r0, &pr1, rsa->p, ctx))
791 		goto err;
792 
793 	/*
794 	 * If p < q it is occasionally possible for the correction of
795 	 * adding 'p' if r0 is negative above to leave the result still
796 	 * negative. This can break the private key operations: the following
797 	 * second correction should *always* correct this rare occurrence.
798 	 * This will *never* happen with OpenSSL generated keys because
799 	 * they ensure p > q [steve]
800 	 */
801 	if (BN_is_negative(r0))
802 		if (!BN_add(r0, r0, rsa->p))
803 			goto err;
804 	if (!BN_mul(r1, r0, rsa->q, ctx))
805 		goto err;
806 	if (!BN_add(r0, r1, m1))
807 		goto err;
808 
809 	if (rsa->e && rsa->n) {
810 		if (!rsa->meth->bn_mod_exp(vrfy, r0, rsa->e, rsa->n, ctx,
811 		    rsa->_method_mod_n))
812 			goto err;
813 		/*
814 		 * If 'I' was greater than (or equal to) rsa->n, the operation
815 		 * will be equivalent to using 'I mod n'. However, the result of
816 		 * the verify will *always* be less than 'n' so we don't check
817 		 * for absolute equality, just congruency.
818 		 */
819 		if (!BN_sub(vrfy, vrfy, I))
820 			goto err;
821 		if (!BN_mod_ct(vrfy, vrfy, rsa->n, ctx))
822 			goto err;
823 		if (BN_is_negative(vrfy))
824 			if (!BN_add(vrfy, vrfy, rsa->n))
825 				goto err;
826 		if (!BN_is_zero(vrfy)) {
827 			/*
828 			 * 'I' and 'vrfy' aren't congruent mod n. Don't leak
829 			 * miscalculated CRT output, just do a raw (slower)
830 			 * mod_exp and return that instead.
831 			 */
832 			BIGNUM d;
833 
834 			BN_init(&d);
835 			BN_with_flags(&d, rsa->d, BN_FLG_CONSTTIME);
836 
837 			if (!rsa->meth->bn_mod_exp(r0, I, &d, rsa->n, ctx,
838 			    rsa->_method_mod_n)) {
839 				goto err;
840 			}
841 		}
842 	}
843 	ret = 1;
844 err:
845 	BN_CTX_end(ctx);
846 	return ret;
847 }
848 
849 static int
850 RSA_eay_init(RSA *rsa)
851 {
852 	rsa->flags |= RSA_FLAG_CACHE_PUBLIC | RSA_FLAG_CACHE_PRIVATE;
853 	return 1;
854 }
855 
856 static int
857 RSA_eay_finish(RSA *rsa)
858 {
859 	BN_MONT_CTX_free(rsa->_method_mod_n);
860 	BN_MONT_CTX_free(rsa->_method_mod_p);
861 	BN_MONT_CTX_free(rsa->_method_mod_q);
862 
863 	return 1;
864 }
865