2 * Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved.
4 * Licensed under the Apache License 2.0 (the "License"). You may not use
5 * this file except in compliance with the License. You can obtain a copy
6 * in the file LICENSE in the source distribution or at
7 * https://www.openssl.org/source/license.html
10 #include "internal/cryptlib.h"
11 #include "internal/bn_int.h"
13 #include "internal/constant_time_locl.h"
15 static int rsa_ossl_public_encrypt(int flen
, const unsigned char *from
,
16 unsigned char *to
, RSA
*rsa
, int padding
);
17 static int rsa_ossl_private_encrypt(int flen
, const unsigned char *from
,
18 unsigned char *to
, RSA
*rsa
, int padding
);
19 static int rsa_ossl_public_decrypt(int flen
, const unsigned char *from
,
20 unsigned char *to
, RSA
*rsa
, int padding
);
21 static int rsa_ossl_private_decrypt(int flen
, const unsigned char *from
,
22 unsigned char *to
, RSA
*rsa
, int padding
);
23 static int rsa_ossl_mod_exp(BIGNUM
*r0
, const BIGNUM
*i
, RSA
*rsa
,
25 static int rsa_ossl_init(RSA
*rsa
);
26 static int rsa_ossl_finish(RSA
*rsa
);
27 static RSA_METHOD rsa_pkcs1_ossl_meth
= {
29 rsa_ossl_public_encrypt
,
30 rsa_ossl_public_decrypt
, /* signature verification */
31 rsa_ossl_private_encrypt
, /* signing */
32 rsa_ossl_private_decrypt
,
34 BN_mod_exp_mont
, /* XXX probably we should not use Montgomery
38 RSA_FLAG_FIPS_METHOD
, /* flags */
42 NULL
, /* rsa_keygen */
43 NULL
/* rsa_multi_prime_keygen */
46 static const RSA_METHOD
*default_RSA_meth
= &rsa_pkcs1_ossl_meth
;
48 void RSA_set_default_method(const RSA_METHOD
*meth
)
50 default_RSA_meth
= meth
;
53 const RSA_METHOD
*RSA_get_default_method(void)
55 return default_RSA_meth
;
58 const RSA_METHOD
*RSA_PKCS1_OpenSSL(void)
60 return &rsa_pkcs1_ossl_meth
;
63 const RSA_METHOD
*RSA_null_method(void)
68 static int rsa_ossl_public_encrypt(int flen
, const unsigned char *from
,
69 unsigned char *to
, RSA
*rsa
, int padding
)
72 int i
, num
= 0, r
= -1;
73 unsigned char *buf
= NULL
;
76 if (BN_num_bits(rsa
->n
) > OPENSSL_RSA_MAX_MODULUS_BITS
) {
77 RSAerr(RSA_F_RSA_OSSL_PUBLIC_ENCRYPT
, RSA_R_MODULUS_TOO_LARGE
);
81 if (BN_ucmp(rsa
->n
, rsa
->e
) <= 0) {
82 RSAerr(RSA_F_RSA_OSSL_PUBLIC_ENCRYPT
, RSA_R_BAD_E_VALUE
);
86 /* for large moduli, enforce exponent limit */
87 if (BN_num_bits(rsa
->n
) > OPENSSL_RSA_SMALL_MODULUS_BITS
) {
88 if (BN_num_bits(rsa
->e
) > OPENSSL_RSA_MAX_PUBEXP_BITS
) {
89 RSAerr(RSA_F_RSA_OSSL_PUBLIC_ENCRYPT
, RSA_R_BAD_E_VALUE
);
94 if ((ctx
= BN_CTX_new()) == NULL
)
98 ret
= BN_CTX_get(ctx
);
99 num
= BN_num_bytes(rsa
->n
);
100 buf
= OPENSSL_malloc(num
);
101 if (ret
== NULL
|| buf
== NULL
) {
102 RSAerr(RSA_F_RSA_OSSL_PUBLIC_ENCRYPT
, ERR_R_MALLOC_FAILURE
);
107 case RSA_PKCS1_PADDING
:
108 i
= RSA_padding_add_PKCS1_type_2(buf
, num
, from
, flen
);
110 case RSA_PKCS1_OAEP_PADDING
:
111 i
= RSA_padding_add_PKCS1_OAEP(buf
, num
, from
, flen
, NULL
, 0);
113 case RSA_SSLV23_PADDING
:
114 i
= RSA_padding_add_SSLv23(buf
, num
, from
, flen
);
117 i
= RSA_padding_add_none(buf
, num
, from
, flen
);
120 RSAerr(RSA_F_RSA_OSSL_PUBLIC_ENCRYPT
, RSA_R_UNKNOWN_PADDING_TYPE
);
126 if (BN_bin2bn(buf
, num
, f
) == NULL
)
129 if (BN_ucmp(f
, rsa
->n
) >= 0) {
130 /* usually the padding functions would catch this */
131 RSAerr(RSA_F_RSA_OSSL_PUBLIC_ENCRYPT
,
132 RSA_R_DATA_TOO_LARGE_FOR_MODULUS
);
136 if (rsa
->flags
& RSA_FLAG_CACHE_PUBLIC
)
137 if (!BN_MONT_CTX_set_locked(&rsa
->_method_mod_n
, rsa
->lock
,
141 if (!rsa
->meth
->bn_mod_exp(ret
, f
, rsa
->e
, rsa
->n
, ctx
,
146 * BN_bn2binpad puts in leading 0 bytes if the number is less than
147 * the length of the modulus.
149 r
= BN_bn2binpad(ret
, to
, num
);
154 OPENSSL_clear_free(buf
, num
);
158 static BN_BLINDING
*rsa_get_blinding(RSA
*rsa
, int *local
, BN_CTX
*ctx
)
162 CRYPTO_THREAD_write_lock(rsa
->lock
);
164 if (rsa
->blinding
== NULL
) {
165 rsa
->blinding
= RSA_setup_blinding(rsa
, ctx
);
172 if (BN_BLINDING_is_current_thread(ret
)) {
173 /* rsa->blinding is ours! */
177 /* resort to rsa->mt_blinding instead */
180 * instructs rsa_blinding_convert(), rsa_blinding_invert() that the
181 * BN_BLINDING is shared, meaning that accesses require locks, and
182 * that the blinding factor must be stored outside the BN_BLINDING
186 if (rsa
->mt_blinding
== NULL
) {
187 rsa
->mt_blinding
= RSA_setup_blinding(rsa
, ctx
);
189 ret
= rsa
->mt_blinding
;
193 CRYPTO_THREAD_unlock(rsa
->lock
);
197 static int rsa_blinding_convert(BN_BLINDING
*b
, BIGNUM
*f
, BIGNUM
*unblind
,
200 if (unblind
== NULL
) {
202 * Local blinding: store the unblinding factor in BN_BLINDING.
204 return BN_BLINDING_convert_ex(f
, NULL
, b
, ctx
);
207 * Shared blinding: store the unblinding factor outside BN_BLINDING.
212 ret
= BN_BLINDING_convert_ex(f
, unblind
, b
, ctx
);
213 BN_BLINDING_unlock(b
);
219 static int rsa_blinding_invert(BN_BLINDING
*b
, BIGNUM
*f
, BIGNUM
*unblind
,
223 * For local blinding, unblind is set to NULL, and BN_BLINDING_invert_ex
224 * will use the unblinding factor stored in BN_BLINDING. If BN_BLINDING
225 * is shared between threads, unblind must be non-null:
226 * BN_BLINDING_invert_ex will then use the local unblinding factor, and
227 * will only read the modulus from BN_BLINDING. In both cases it's safe
228 * to access the blinding without a lock.
230 return BN_BLINDING_invert_ex(f
, unblind
, b
, ctx
);
234 static int rsa_ossl_private_encrypt(int flen
, const unsigned char *from
,
235 unsigned char *to
, RSA
*rsa
, int padding
)
237 BIGNUM
*f
, *ret
, *res
;
238 int i
, num
= 0, r
= -1;
239 unsigned char *buf
= NULL
;
241 int local_blinding
= 0;
243 * Used only if the blinding structure is shared. A non-NULL unblind
244 * instructs rsa_blinding_convert() and rsa_blinding_invert() to store
245 * the unblinding factor outside the blinding structure.
247 BIGNUM
*unblind
= NULL
;
248 BN_BLINDING
*blinding
= NULL
;
250 if ((ctx
= BN_CTX_new()) == NULL
)
254 ret
= BN_CTX_get(ctx
);
255 num
= BN_num_bytes(rsa
->n
);
256 buf
= OPENSSL_malloc(num
);
257 if (ret
== NULL
|| buf
== NULL
) {
258 RSAerr(RSA_F_RSA_OSSL_PRIVATE_ENCRYPT
, ERR_R_MALLOC_FAILURE
);
263 case RSA_PKCS1_PADDING
:
264 i
= RSA_padding_add_PKCS1_type_1(buf
, num
, from
, flen
);
266 case RSA_X931_PADDING
:
267 i
= RSA_padding_add_X931(buf
, num
, from
, flen
);
270 i
= RSA_padding_add_none(buf
, num
, from
, flen
);
272 case RSA_SSLV23_PADDING
:
274 RSAerr(RSA_F_RSA_OSSL_PRIVATE_ENCRYPT
, RSA_R_UNKNOWN_PADDING_TYPE
);
280 if (BN_bin2bn(buf
, num
, f
) == NULL
)
283 if (BN_ucmp(f
, rsa
->n
) >= 0) {
284 /* usually the padding functions would catch this */
285 RSAerr(RSA_F_RSA_OSSL_PRIVATE_ENCRYPT
,
286 RSA_R_DATA_TOO_LARGE_FOR_MODULUS
);
290 if (rsa
->flags
& RSA_FLAG_CACHE_PUBLIC
)
291 if (!BN_MONT_CTX_set_locked(&rsa
->_method_mod_n
, rsa
->lock
,
295 if (!(rsa
->flags
& RSA_FLAG_NO_BLINDING
)) {
296 blinding
= rsa_get_blinding(rsa
, &local_blinding
, ctx
);
297 if (blinding
== NULL
) {
298 RSAerr(RSA_F_RSA_OSSL_PRIVATE_ENCRYPT
, ERR_R_INTERNAL_ERROR
);
303 if (blinding
!= NULL
) {
304 if (!local_blinding
&& ((unblind
= BN_CTX_get(ctx
)) == NULL
)) {
305 RSAerr(RSA_F_RSA_OSSL_PRIVATE_ENCRYPT
, ERR_R_MALLOC_FAILURE
);
308 if (!rsa_blinding_convert(blinding
, f
, unblind
, ctx
))
312 if ((rsa
->flags
& RSA_FLAG_EXT_PKEY
) ||
313 (rsa
->version
== RSA_ASN1_VERSION_MULTI
) ||
316 (rsa
->dmp1
!= NULL
) && (rsa
->dmq1
!= NULL
) && (rsa
->iqmp
!= NULL
))) {
317 if (!rsa
->meth
->rsa_mod_exp(ret
, f
, rsa
, ctx
))
320 BIGNUM
*d
= BN_new();
322 RSAerr(RSA_F_RSA_OSSL_PRIVATE_ENCRYPT
, ERR_R_MALLOC_FAILURE
);
325 BN_with_flags(d
, rsa
->d
, BN_FLG_CONSTTIME
);
327 if (!rsa
->meth
->bn_mod_exp(ret
, f
, d
, rsa
->n
, ctx
,
328 rsa
->_method_mod_n
)) {
332 /* We MUST free d before any further use of rsa->d */
337 if (!rsa_blinding_invert(blinding
, ret
, unblind
, ctx
))
340 if (padding
== RSA_X931_PADDING
) {
341 if (!BN_sub(f
, rsa
->n
, ret
))
343 if (BN_cmp(ret
, f
) > 0)
352 * BN_bn2binpad puts in leading 0 bytes if the number is less than
353 * the length of the modulus.
355 r
= BN_bn2binpad(res
, to
, num
);
360 OPENSSL_clear_free(buf
, num
);
364 static int rsa_ossl_private_decrypt(int flen
, const unsigned char *from
,
365 unsigned char *to
, RSA
*rsa
, int padding
)
368 int j
, num
= 0, r
= -1;
369 unsigned char *buf
= NULL
;
371 int local_blinding
= 0;
373 * Used only if the blinding structure is shared. A non-NULL unblind
374 * instructs rsa_blinding_convert() and rsa_blinding_invert() to store
375 * the unblinding factor outside the blinding structure.
377 BIGNUM
*unblind
= NULL
;
378 BN_BLINDING
*blinding
= NULL
;
380 if ((ctx
= BN_CTX_new()) == NULL
)
384 ret
= BN_CTX_get(ctx
);
385 num
= BN_num_bytes(rsa
->n
);
386 buf
= OPENSSL_malloc(num
);
387 if (ret
== NULL
|| buf
== NULL
) {
388 RSAerr(RSA_F_RSA_OSSL_PRIVATE_DECRYPT
, ERR_R_MALLOC_FAILURE
);
393 * This check was for equality but PGP does evil things and chops off the
397 RSAerr(RSA_F_RSA_OSSL_PRIVATE_DECRYPT
,
398 RSA_R_DATA_GREATER_THAN_MOD_LEN
);
402 /* make data into a big number */
403 if (BN_bin2bn(from
, (int)flen
, f
) == NULL
)
406 if (BN_ucmp(f
, rsa
->n
) >= 0) {
407 RSAerr(RSA_F_RSA_OSSL_PRIVATE_DECRYPT
,
408 RSA_R_DATA_TOO_LARGE_FOR_MODULUS
);
412 if (!(rsa
->flags
& RSA_FLAG_NO_BLINDING
)) {
413 blinding
= rsa_get_blinding(rsa
, &local_blinding
, ctx
);
414 if (blinding
== NULL
) {
415 RSAerr(RSA_F_RSA_OSSL_PRIVATE_DECRYPT
, ERR_R_INTERNAL_ERROR
);
420 if (blinding
!= NULL
) {
421 if (!local_blinding
&& ((unblind
= BN_CTX_get(ctx
)) == NULL
)) {
422 RSAerr(RSA_F_RSA_OSSL_PRIVATE_DECRYPT
, ERR_R_MALLOC_FAILURE
);
425 if (!rsa_blinding_convert(blinding
, f
, unblind
, ctx
))
430 if ((rsa
->flags
& RSA_FLAG_EXT_PKEY
) ||
431 (rsa
->version
== RSA_ASN1_VERSION_MULTI
) ||
434 (rsa
->dmp1
!= NULL
) && (rsa
->dmq1
!= NULL
) && (rsa
->iqmp
!= NULL
))) {
435 if (!rsa
->meth
->rsa_mod_exp(ret
, f
, rsa
, ctx
))
438 BIGNUM
*d
= BN_new();
440 RSAerr(RSA_F_RSA_OSSL_PRIVATE_DECRYPT
, ERR_R_MALLOC_FAILURE
);
443 BN_with_flags(d
, rsa
->d
, BN_FLG_CONSTTIME
);
445 if (rsa
->flags
& RSA_FLAG_CACHE_PUBLIC
)
446 if (!BN_MONT_CTX_set_locked(&rsa
->_method_mod_n
, rsa
->lock
,
451 if (!rsa
->meth
->bn_mod_exp(ret
, f
, d
, rsa
->n
, ctx
,
452 rsa
->_method_mod_n
)) {
456 /* We MUST free d before any further use of rsa->d */
461 if (!rsa_blinding_invert(blinding
, ret
, unblind
, ctx
))
464 j
= BN_bn2binpad(ret
, buf
, num
);
467 case RSA_PKCS1_PADDING
:
468 r
= RSA_padding_check_PKCS1_type_2(to
, num
, buf
, j
, num
);
470 case RSA_PKCS1_OAEP_PADDING
:
471 r
= RSA_padding_check_PKCS1_OAEP(to
, num
, buf
, j
, num
, NULL
, 0);
473 case RSA_SSLV23_PADDING
:
474 r
= RSA_padding_check_SSLv23(to
, num
, buf
, j
, num
);
477 memcpy(to
, buf
, (r
= j
));
480 RSAerr(RSA_F_RSA_OSSL_PRIVATE_DECRYPT
, RSA_R_UNKNOWN_PADDING_TYPE
);
483 RSAerr(RSA_F_RSA_OSSL_PRIVATE_DECRYPT
, RSA_R_PADDING_CHECK_FAILED
);
484 err_clear_last_constant_time(r
>= 0);
490 OPENSSL_clear_free(buf
, num
);
494 /* signature verification */
495 static int rsa_ossl_public_decrypt(int flen
, const unsigned char *from
,
496 unsigned char *to
, RSA
*rsa
, int padding
)
499 int i
, num
= 0, r
= -1;
500 unsigned char *buf
= NULL
;
503 if (BN_num_bits(rsa
->n
) > OPENSSL_RSA_MAX_MODULUS_BITS
) {
504 RSAerr(RSA_F_RSA_OSSL_PUBLIC_DECRYPT
, RSA_R_MODULUS_TOO_LARGE
);
508 if (BN_ucmp(rsa
->n
, rsa
->e
) <= 0) {
509 RSAerr(RSA_F_RSA_OSSL_PUBLIC_DECRYPT
, RSA_R_BAD_E_VALUE
);
513 /* for large moduli, enforce exponent limit */
514 if (BN_num_bits(rsa
->n
) > OPENSSL_RSA_SMALL_MODULUS_BITS
) {
515 if (BN_num_bits(rsa
->e
) > OPENSSL_RSA_MAX_PUBEXP_BITS
) {
516 RSAerr(RSA_F_RSA_OSSL_PUBLIC_DECRYPT
, RSA_R_BAD_E_VALUE
);
521 if ((ctx
= BN_CTX_new()) == NULL
)
525 ret
= BN_CTX_get(ctx
);
526 num
= BN_num_bytes(rsa
->n
);
527 buf
= OPENSSL_malloc(num
);
528 if (ret
== NULL
|| buf
== NULL
) {
529 RSAerr(RSA_F_RSA_OSSL_PUBLIC_DECRYPT
, ERR_R_MALLOC_FAILURE
);
534 * This check was for equality but PGP does evil things and chops off the
538 RSAerr(RSA_F_RSA_OSSL_PUBLIC_DECRYPT
, RSA_R_DATA_GREATER_THAN_MOD_LEN
);
542 if (BN_bin2bn(from
, flen
, f
) == NULL
)
545 if (BN_ucmp(f
, rsa
->n
) >= 0) {
546 RSAerr(RSA_F_RSA_OSSL_PUBLIC_DECRYPT
,
547 RSA_R_DATA_TOO_LARGE_FOR_MODULUS
);
551 if (rsa
->flags
& RSA_FLAG_CACHE_PUBLIC
)
552 if (!BN_MONT_CTX_set_locked(&rsa
->_method_mod_n
, rsa
->lock
,
556 if (!rsa
->meth
->bn_mod_exp(ret
, f
, rsa
->e
, rsa
->n
, ctx
,
560 if ((padding
== RSA_X931_PADDING
) && ((bn_get_words(ret
)[0] & 0xf) != 12))
561 if (!BN_sub(ret
, rsa
->n
, ret
))
564 i
= BN_bn2binpad(ret
, buf
, num
);
567 case RSA_PKCS1_PADDING
:
568 r
= RSA_padding_check_PKCS1_type_1(to
, num
, buf
, i
, num
);
570 case RSA_X931_PADDING
:
571 r
= RSA_padding_check_X931(to
, num
, buf
, i
, num
);
574 memcpy(to
, buf
, (r
= i
));
577 RSAerr(RSA_F_RSA_OSSL_PUBLIC_DECRYPT
, RSA_R_UNKNOWN_PADDING_TYPE
);
581 RSAerr(RSA_F_RSA_OSSL_PUBLIC_DECRYPT
, RSA_R_PADDING_CHECK_FAILED
);
587 OPENSSL_clear_free(buf
, num
);
591 static int rsa_ossl_mod_exp(BIGNUM
*r0
, const BIGNUM
*I
, RSA
*rsa
, BN_CTX
*ctx
)
593 BIGNUM
*r1
, *m1
, *vrfy
, *r2
, *m
[RSA_MAX_PRIME_NUM
- 2];
594 int ret
= 0, i
, ex_primes
= 0, smooth
= 0;
595 RSA_PRIME_INFO
*pinfo
;
599 r1
= BN_CTX_get(ctx
);
600 r2
= BN_CTX_get(ctx
);
601 m1
= BN_CTX_get(ctx
);
602 vrfy
= BN_CTX_get(ctx
);
606 if (rsa
->version
== RSA_ASN1_VERSION_MULTI
607 && ((ex_primes
= sk_RSA_PRIME_INFO_num(rsa
->prime_infos
)) <= 0
608 || ex_primes
> RSA_MAX_PRIME_NUM
- 2))
611 if (rsa
->flags
& RSA_FLAG_CACHE_PRIVATE
) {
612 BIGNUM
*factor
= BN_new();
618 * Make sure BN_mod_inverse in Montgomery initialization uses the
619 * BN_FLG_CONSTTIME flag
621 if (!(BN_with_flags(factor
, rsa
->p
, BN_FLG_CONSTTIME
),
622 BN_MONT_CTX_set_locked(&rsa
->_method_mod_p
, rsa
->lock
,
624 || !(BN_with_flags(factor
, rsa
->q
, BN_FLG_CONSTTIME
),
625 BN_MONT_CTX_set_locked(&rsa
->_method_mod_q
, rsa
->lock
,
630 for (i
= 0; i
< ex_primes
; i
++) {
631 pinfo
= sk_RSA_PRIME_INFO_value(rsa
->prime_infos
, i
);
632 BN_with_flags(factor
, pinfo
->r
, BN_FLG_CONSTTIME
);
633 if (!BN_MONT_CTX_set_locked(&pinfo
->m
, rsa
->lock
, factor
, ctx
)) {
639 * We MUST free |factor| before any further use of the prime factors
643 smooth
= (ex_primes
== 0)
644 && (rsa
->meth
->bn_mod_exp
== BN_mod_exp_mont
)
645 && (BN_num_bits(rsa
->q
) == BN_num_bits(rsa
->p
));
648 if (rsa
->flags
& RSA_FLAG_CACHE_PUBLIC
)
649 if (!BN_MONT_CTX_set_locked(&rsa
->_method_mod_n
, rsa
->lock
,
655 * Conversion from Montgomery domain, a.k.a. Montgomery reduction,
656 * accepts values in [0-m*2^w) range. w is m's bit width rounded up
657 * to limb width. So that at the very least if |I| is fully reduced,
658 * i.e. less than p*q, we can count on from-to round to perform
659 * below modulo operations on |I|. Unlike BN_mod it's constant time.
661 if (/* m1 = I moq q */
662 !bn_from_mont_fixed_top(m1
, I
, rsa
->_method_mod_q
, ctx
)
663 || !bn_to_mont_fixed_top(m1
, m1
, rsa
->_method_mod_q
, ctx
)
664 /* m1 = m1^dmq1 mod q */
665 || !BN_mod_exp_mont_consttime(m1
, m1
, rsa
->dmq1
, rsa
->q
, ctx
,
668 || !bn_from_mont_fixed_top(r1
, I
, rsa
->_method_mod_p
, ctx
)
669 || !bn_to_mont_fixed_top(r1
, r1
, rsa
->_method_mod_p
, ctx
)
670 /* r1 = r1^dmp1 mod p */
671 || !BN_mod_exp_mont_consttime(r1
, r1
, rsa
->dmp1
, rsa
->p
, ctx
,
673 /* r1 = (r1 - m1) mod p */
675 * bn_mod_sub_fixed_top is not regular modular subtraction,
676 * it can tolerate subtrahend to be larger than modulus, but
677 * not bit-wise wider. This makes up for uncommon q>p case,
678 * when |m1| can be larger than |rsa->p|.
680 || !bn_mod_sub_fixed_top(r1
, r1
, m1
, rsa
->p
)
682 /* r1 = r1 * iqmp mod p */
683 || !bn_to_mont_fixed_top(r1
, r1
, rsa
->_method_mod_p
, ctx
)
684 || !bn_mul_mont_fixed_top(r1
, r1
, rsa
->iqmp
, rsa
->_method_mod_p
,
686 /* r0 = r1 * q + m1 */
687 || !bn_mul_fixed_top(r0
, r1
, rsa
->q
, ctx
)
688 || !bn_mod_add_fixed_top(r0
, r0
, m1
, rsa
->n
))
694 /* compute I mod q */
696 BIGNUM
*c
= BN_new();
699 BN_with_flags(c
, I
, BN_FLG_CONSTTIME
);
701 if (!BN_mod(r1
, c
, rsa
->q
, ctx
)) {
707 BIGNUM
*dmq1
= BN_new();
712 BN_with_flags(dmq1
, rsa
->dmq1
, BN_FLG_CONSTTIME
);
714 /* compute r1^dmq1 mod q */
715 if (!rsa
->meth
->bn_mod_exp(m1
, r1
, dmq1
, rsa
->q
, ctx
,
716 rsa
->_method_mod_q
)) {
721 /* We MUST free dmq1 before any further use of rsa->dmq1 */
725 /* compute I mod p */
726 if (!BN_mod(r1
, c
, rsa
->p
, ctx
)) {
730 /* We MUST free c before any further use of I */
735 BIGNUM
*dmp1
= BN_new();
738 BN_with_flags(dmp1
, rsa
->dmp1
, BN_FLG_CONSTTIME
);
740 /* compute r1^dmp1 mod p */
741 if (!rsa
->meth
->bn_mod_exp(r0
, r1
, dmp1
, rsa
->p
, ctx
,
742 rsa
->_method_mod_p
)) {
746 /* We MUST free dmp1 before any further use of rsa->dmp1 */
751 * calculate m_i in multi-prime case
754 * 1. squash the following two loops and calculate |m_i| there.
755 * 2. remove cc and reuse |c|.
756 * 3. remove |dmq1| and |dmp1| in previous block and use |di|.
758 * If these things are done, the code will be more readable.
761 BIGNUM
*di
= BN_new(), *cc
= BN_new();
763 if (cc
== NULL
|| di
== NULL
) {
769 for (i
= 0; i
< ex_primes
; i
++) {
771 if ((m
[i
] = BN_CTX_get(ctx
)) == NULL
) {
777 pinfo
= sk_RSA_PRIME_INFO_value(rsa
->prime_infos
, i
);
779 /* prepare c and d_i */
780 BN_with_flags(cc
, I
, BN_FLG_CONSTTIME
);
781 BN_with_flags(di
, pinfo
->d
, BN_FLG_CONSTTIME
);
783 if (!BN_mod(r1
, cc
, pinfo
->r
, ctx
)) {
788 /* compute r1 ^ d_i mod r_i */
789 if (!rsa
->meth
->bn_mod_exp(m
[i
], r1
, di
, pinfo
->r
, ctx
, pinfo
->m
)) {
800 if (!BN_sub(r0
, r0
, m1
))
803 * This will help stop the size of r0 increasing, which does affect the
804 * multiply if it optimised for a power of 2 size
806 if (BN_is_negative(r0
))
807 if (!BN_add(r0
, r0
, rsa
->p
))
810 if (!BN_mul(r1
, r0
, rsa
->iqmp
, ctx
))
814 BIGNUM
*pr1
= BN_new();
817 BN_with_flags(pr1
, r1
, BN_FLG_CONSTTIME
);
819 if (!BN_mod(r0
, pr1
, rsa
->p
, ctx
)) {
823 /* We MUST free pr1 before any further use of r1 */
828 * If p < q it is occasionally possible for the correction of adding 'p'
829 * if r0 is negative above to leave the result still negative. This can
830 * break the private key operations: the following second correction
831 * should *always* correct this rare occurrence. This will *never* happen
832 * with OpenSSL generated keys because they ensure p > q [steve]
834 if (BN_is_negative(r0
))
835 if (!BN_add(r0
, r0
, rsa
->p
))
837 if (!BN_mul(r1
, r0
, rsa
->q
, ctx
))
839 if (!BN_add(r0
, r1
, m1
))
842 /* add m_i to m in multi-prime case */
844 BIGNUM
*pr2
= BN_new();
849 for (i
= 0; i
< ex_primes
; i
++) {
850 pinfo
= sk_RSA_PRIME_INFO_value(rsa
->prime_infos
, i
);
851 if (!BN_sub(r1
, m
[i
], r0
)) {
856 if (!BN_mul(r2
, r1
, pinfo
->t
, ctx
)) {
861 BN_with_flags(pr2
, r2
, BN_FLG_CONSTTIME
);
863 if (!BN_mod(r1
, pr2
, pinfo
->r
, ctx
)) {
868 if (BN_is_negative(r1
))
869 if (!BN_add(r1
, r1
, pinfo
->r
)) {
873 if (!BN_mul(r1
, r1
, pinfo
->pp
, ctx
)) {
877 if (!BN_add(r0
, r0
, r1
)) {
886 if (rsa
->e
&& rsa
->n
) {
887 if (rsa
->meth
->bn_mod_exp
== BN_mod_exp_mont
) {
888 if (!BN_mod_exp_mont(vrfy
, r0
, rsa
->e
, rsa
->n
, ctx
,
893 if (!rsa
->meth
->bn_mod_exp(vrfy
, r0
, rsa
->e
, rsa
->n
, ctx
,
898 * If 'I' was greater than (or equal to) rsa->n, the operation will
899 * be equivalent to using 'I mod n'. However, the result of the
900 * verify will *always* be less than 'n' so we don't check for
901 * absolute equality, just congruency.
903 if (!BN_sub(vrfy
, vrfy
, I
))
905 if (BN_is_zero(vrfy
)) {
908 goto err
; /* not actually error */
910 if (!BN_mod(vrfy
, vrfy
, rsa
->n
, ctx
))
912 if (BN_is_negative(vrfy
))
913 if (!BN_add(vrfy
, vrfy
, rsa
->n
))
915 if (!BN_is_zero(vrfy
)) {
917 * 'I' and 'vrfy' aren't congruent mod n. Don't leak
918 * miscalculated CRT output, just do a raw (slower) mod_exp and
919 * return that instead.
922 BIGNUM
*d
= BN_new();
925 BN_with_flags(d
, rsa
->d
, BN_FLG_CONSTTIME
);
927 if (!rsa
->meth
->bn_mod_exp(r0
, I
, d
, rsa
->n
, ctx
,
928 rsa
->_method_mod_n
)) {
932 /* We MUST free d before any further use of rsa->d */
937 * It's unfortunate that we have to bn_correct_top(r0). What hopefully
938 * saves the day is that correction is highly unlike, and private key
939 * operations are customarily performed on blinded message. Which means
940 * that attacker won't observe correlation with chosen plaintext.
941 * Secondly, remaining code would still handle it in same computational
942 * time and even conceal memory access pattern around corrected top.
951 static int rsa_ossl_init(RSA
*rsa
)
953 rsa
->flags
|= RSA_FLAG_CACHE_PUBLIC
| RSA_FLAG_CACHE_PRIVATE
;
957 static int rsa_ossl_finish(RSA
*rsa
)
960 RSA_PRIME_INFO
*pinfo
;
962 BN_MONT_CTX_free(rsa
->_method_mod_n
);
963 BN_MONT_CTX_free(rsa
->_method_mod_p
);
964 BN_MONT_CTX_free(rsa
->_method_mod_q
);
965 for (i
= 0; i
< sk_RSA_PRIME_INFO_num(rsa
->prime_infos
); i
++) {
966 pinfo
= sk_RSA_PRIME_INFO_value(rsa
->prime_infos
, i
);
967 BN_MONT_CTX_free(pinfo
->m
);