2 * Copyright 1995-2020 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
11 * RSA low level APIs are deprecated for public use, but still ok for
14 #include "internal/deprecated.h"
16 #include "internal/cryptlib.h"
17 #include "crypto/bn.h"
18 #include "rsa_local.h"
19 #include "internal/constant_time.h"
21 static int rsa_ossl_public_encrypt(int flen
, const unsigned char *from
,
22 unsigned char *to
, RSA
*rsa
, int padding
);
23 static int rsa_ossl_private_encrypt(int flen
, const unsigned char *from
,
24 unsigned char *to
, RSA
*rsa
, int padding
);
25 static int rsa_ossl_public_decrypt(int flen
, const unsigned char *from
,
26 unsigned char *to
, RSA
*rsa
, int padding
);
27 static int rsa_ossl_private_decrypt(int flen
, const unsigned char *from
,
28 unsigned char *to
, RSA
*rsa
, int padding
);
29 static int rsa_ossl_mod_exp(BIGNUM
*r0
, const BIGNUM
*i
, RSA
*rsa
,
31 static int rsa_ossl_init(RSA
*rsa
);
32 static int rsa_ossl_finish(RSA
*rsa
);
33 static RSA_METHOD rsa_pkcs1_ossl_meth
= {
35 rsa_ossl_public_encrypt
,
36 rsa_ossl_public_decrypt
, /* signature verification */
37 rsa_ossl_private_encrypt
, /* signing */
38 rsa_ossl_private_decrypt
,
40 BN_mod_exp_mont
, /* XXX probably we should not use Montgomery
44 RSA_FLAG_FIPS_METHOD
, /* flags */
48 NULL
, /* rsa_keygen */
49 NULL
/* rsa_multi_prime_keygen */
52 static const RSA_METHOD
*default_RSA_meth
= &rsa_pkcs1_ossl_meth
;
54 void RSA_set_default_method(const RSA_METHOD
*meth
)
56 default_RSA_meth
= meth
;
59 const RSA_METHOD
*RSA_get_default_method(void)
61 return default_RSA_meth
;
64 const RSA_METHOD
*RSA_PKCS1_OpenSSL(void)
66 return &rsa_pkcs1_ossl_meth
;
69 const RSA_METHOD
*RSA_null_method(void)
74 static int rsa_ossl_public_encrypt(int flen
, const unsigned char *from
,
75 unsigned char *to
, RSA
*rsa
, int padding
)
78 int i
, num
= 0, r
= -1;
79 unsigned char *buf
= NULL
;
82 if (BN_num_bits(rsa
->n
) > OPENSSL_RSA_MAX_MODULUS_BITS
) {
83 RSAerr(RSA_F_RSA_OSSL_PUBLIC_ENCRYPT
, RSA_R_MODULUS_TOO_LARGE
);
87 if (BN_ucmp(rsa
->n
, rsa
->e
) <= 0) {
88 RSAerr(RSA_F_RSA_OSSL_PUBLIC_ENCRYPT
, RSA_R_BAD_E_VALUE
);
92 /* for large moduli, enforce exponent limit */
93 if (BN_num_bits(rsa
->n
) > OPENSSL_RSA_SMALL_MODULUS_BITS
) {
94 if (BN_num_bits(rsa
->e
) > OPENSSL_RSA_MAX_PUBEXP_BITS
) {
95 RSAerr(RSA_F_RSA_OSSL_PUBLIC_ENCRYPT
, RSA_R_BAD_E_VALUE
);
100 if ((ctx
= BN_CTX_new_ex(rsa
->libctx
)) == NULL
)
104 ret
= BN_CTX_get(ctx
);
105 num
= BN_num_bytes(rsa
->n
);
106 buf
= OPENSSL_malloc(num
);
107 if (ret
== NULL
|| buf
== NULL
) {
108 RSAerr(RSA_F_RSA_OSSL_PUBLIC_ENCRYPT
, ERR_R_MALLOC_FAILURE
);
113 case RSA_PKCS1_PADDING
:
114 i
= rsa_padding_add_PKCS1_type_2_with_libctx(rsa
->libctx
, buf
, num
,
117 case RSA_PKCS1_OAEP_PADDING
:
118 i
= rsa_padding_add_PKCS1_OAEP_mgf1_with_libctx(rsa
->libctx
, buf
, num
,
123 case RSA_SSLV23_PADDING
:
124 i
= rsa_padding_add_SSLv23_with_libctx(rsa
->libctx
, buf
, num
, from
,
129 i
= RSA_padding_add_none(buf
, num
, from
, flen
);
132 RSAerr(RSA_F_RSA_OSSL_PUBLIC_ENCRYPT
, RSA_R_UNKNOWN_PADDING_TYPE
);
138 if (BN_bin2bn(buf
, num
, f
) == NULL
)
141 if (BN_ucmp(f
, rsa
->n
) >= 0) {
142 /* usually the padding functions would catch this */
143 RSAerr(RSA_F_RSA_OSSL_PUBLIC_ENCRYPT
,
144 RSA_R_DATA_TOO_LARGE_FOR_MODULUS
);
148 if (rsa
->flags
& RSA_FLAG_CACHE_PUBLIC
)
149 if (!BN_MONT_CTX_set_locked(&rsa
->_method_mod_n
, rsa
->lock
,
153 if (!rsa
->meth
->bn_mod_exp(ret
, f
, rsa
->e
, rsa
->n
, ctx
,
158 * BN_bn2binpad puts in leading 0 bytes if the number is less than
159 * the length of the modulus.
161 r
= BN_bn2binpad(ret
, to
, num
);
165 OPENSSL_clear_free(buf
, num
);
169 static BN_BLINDING
*rsa_get_blinding(RSA
*rsa
, int *local
, BN_CTX
*ctx
)
173 CRYPTO_THREAD_write_lock(rsa
->lock
);
175 if (rsa
->blinding
== NULL
) {
176 rsa
->blinding
= RSA_setup_blinding(rsa
, ctx
);
183 if (BN_BLINDING_is_current_thread(ret
)) {
184 /* rsa->blinding is ours! */
188 /* resort to rsa->mt_blinding instead */
191 * instructs rsa_blinding_convert(), rsa_blinding_invert() that the
192 * BN_BLINDING is shared, meaning that accesses require locks, and
193 * that the blinding factor must be stored outside the BN_BLINDING
197 if (rsa
->mt_blinding
== NULL
) {
198 rsa
->mt_blinding
= RSA_setup_blinding(rsa
, ctx
);
200 ret
= rsa
->mt_blinding
;
204 CRYPTO_THREAD_unlock(rsa
->lock
);
208 static int rsa_blinding_convert(BN_BLINDING
*b
, BIGNUM
*f
, BIGNUM
*unblind
,
211 if (unblind
== NULL
) {
213 * Local blinding: store the unblinding factor in BN_BLINDING.
215 return BN_BLINDING_convert_ex(f
, NULL
, b
, ctx
);
218 * Shared blinding: store the unblinding factor outside BN_BLINDING.
223 ret
= BN_BLINDING_convert_ex(f
, unblind
, b
, ctx
);
224 BN_BLINDING_unlock(b
);
230 static int rsa_blinding_invert(BN_BLINDING
*b
, BIGNUM
*f
, BIGNUM
*unblind
,
234 * For local blinding, unblind is set to NULL, and BN_BLINDING_invert_ex
235 * will use the unblinding factor stored in BN_BLINDING. If BN_BLINDING
236 * is shared between threads, unblind must be non-null:
237 * BN_BLINDING_invert_ex will then use the local unblinding factor, and
238 * will only read the modulus from BN_BLINDING. In both cases it's safe
239 * to access the blinding without a lock.
241 return BN_BLINDING_invert_ex(f
, unblind
, b
, ctx
);
245 static int rsa_ossl_private_encrypt(int flen
, const unsigned char *from
,
246 unsigned char *to
, RSA
*rsa
, int padding
)
248 BIGNUM
*f
, *ret
, *res
;
249 int i
, num
= 0, r
= -1;
250 unsigned char *buf
= NULL
;
252 int local_blinding
= 0;
254 * Used only if the blinding structure is shared. A non-NULL unblind
255 * instructs rsa_blinding_convert() and rsa_blinding_invert() to store
256 * the unblinding factor outside the blinding structure.
258 BIGNUM
*unblind
= NULL
;
259 BN_BLINDING
*blinding
= NULL
;
261 if ((ctx
= BN_CTX_new_ex(rsa
->libctx
)) == NULL
)
265 ret
= BN_CTX_get(ctx
);
266 num
= BN_num_bytes(rsa
->n
);
267 buf
= OPENSSL_malloc(num
);
268 if (ret
== NULL
|| buf
== NULL
) {
269 RSAerr(RSA_F_RSA_OSSL_PRIVATE_ENCRYPT
, ERR_R_MALLOC_FAILURE
);
274 case RSA_PKCS1_PADDING
:
275 i
= RSA_padding_add_PKCS1_type_1(buf
, num
, from
, flen
);
277 case RSA_X931_PADDING
:
278 i
= RSA_padding_add_X931(buf
, num
, from
, flen
);
281 i
= RSA_padding_add_none(buf
, num
, from
, flen
);
283 case RSA_SSLV23_PADDING
:
285 RSAerr(RSA_F_RSA_OSSL_PRIVATE_ENCRYPT
, RSA_R_UNKNOWN_PADDING_TYPE
);
291 if (BN_bin2bn(buf
, num
, f
) == NULL
)
294 if (BN_ucmp(f
, rsa
->n
) >= 0) {
295 /* usually the padding functions would catch this */
296 RSAerr(RSA_F_RSA_OSSL_PRIVATE_ENCRYPT
,
297 RSA_R_DATA_TOO_LARGE_FOR_MODULUS
);
301 if (rsa
->flags
& RSA_FLAG_CACHE_PUBLIC
)
302 if (!BN_MONT_CTX_set_locked(&rsa
->_method_mod_n
, rsa
->lock
,
306 if (!(rsa
->flags
& RSA_FLAG_NO_BLINDING
)) {
307 blinding
= rsa_get_blinding(rsa
, &local_blinding
, ctx
);
308 if (blinding
== NULL
) {
309 RSAerr(RSA_F_RSA_OSSL_PRIVATE_ENCRYPT
, ERR_R_INTERNAL_ERROR
);
314 if (blinding
!= NULL
) {
315 if (!local_blinding
&& ((unblind
= BN_CTX_get(ctx
)) == NULL
)) {
316 RSAerr(RSA_F_RSA_OSSL_PRIVATE_ENCRYPT
, ERR_R_MALLOC_FAILURE
);
319 if (!rsa_blinding_convert(blinding
, f
, unblind
, ctx
))
323 if ((rsa
->flags
& RSA_FLAG_EXT_PKEY
) ||
324 (rsa
->version
== RSA_ASN1_VERSION_MULTI
) ||
327 (rsa
->dmp1
!= NULL
) && (rsa
->dmq1
!= NULL
) && (rsa
->iqmp
!= NULL
))) {
328 if (!rsa
->meth
->rsa_mod_exp(ret
, f
, rsa
, ctx
))
331 BIGNUM
*d
= BN_new();
333 RSAerr(RSA_F_RSA_OSSL_PRIVATE_ENCRYPT
, ERR_R_MALLOC_FAILURE
);
336 if (rsa
->d
== NULL
) {
337 RSAerr(RSA_F_RSA_OSSL_PRIVATE_ENCRYPT
, RSA_R_MISSING_PRIVATE_KEY
);
341 BN_with_flags(d
, rsa
->d
, BN_FLG_CONSTTIME
);
343 if (!rsa
->meth
->bn_mod_exp(ret
, f
, d
, rsa
->n
, ctx
,
344 rsa
->_method_mod_n
)) {
348 /* We MUST free d before any further use of rsa->d */
353 if (!rsa_blinding_invert(blinding
, ret
, unblind
, ctx
))
356 if (padding
== RSA_X931_PADDING
) {
357 if (!BN_sub(f
, rsa
->n
, ret
))
359 if (BN_cmp(ret
, f
) > 0)
368 * BN_bn2binpad puts in leading 0 bytes if the number is less than
369 * the length of the modulus.
371 r
= BN_bn2binpad(res
, to
, num
);
375 OPENSSL_clear_free(buf
, num
);
379 static int rsa_ossl_private_decrypt(int flen
, const unsigned char *from
,
380 unsigned char *to
, RSA
*rsa
, int padding
)
383 int j
, num
= 0, r
= -1;
384 unsigned char *buf
= NULL
;
386 int local_blinding
= 0;
388 * Used only if the blinding structure is shared. A non-NULL unblind
389 * instructs rsa_blinding_convert() and rsa_blinding_invert() to store
390 * the unblinding factor outside the blinding structure.
392 BIGNUM
*unblind
= NULL
;
393 BN_BLINDING
*blinding
= NULL
;
395 if ((ctx
= BN_CTX_new_ex(rsa
->libctx
)) == NULL
)
399 ret
= BN_CTX_get(ctx
);
400 num
= BN_num_bytes(rsa
->n
);
401 buf
= OPENSSL_malloc(num
);
402 if (ret
== NULL
|| buf
== NULL
) {
403 RSAerr(RSA_F_RSA_OSSL_PRIVATE_DECRYPT
, ERR_R_MALLOC_FAILURE
);
408 * This check was for equality but PGP does evil things and chops off the
412 RSAerr(RSA_F_RSA_OSSL_PRIVATE_DECRYPT
,
413 RSA_R_DATA_GREATER_THAN_MOD_LEN
);
417 /* make data into a big number */
418 if (BN_bin2bn(from
, (int)flen
, f
) == NULL
)
421 if (BN_ucmp(f
, rsa
->n
) >= 0) {
422 RSAerr(RSA_F_RSA_OSSL_PRIVATE_DECRYPT
,
423 RSA_R_DATA_TOO_LARGE_FOR_MODULUS
);
427 if (!(rsa
->flags
& RSA_FLAG_NO_BLINDING
)) {
428 blinding
= rsa_get_blinding(rsa
, &local_blinding
, ctx
);
429 if (blinding
== NULL
) {
430 RSAerr(RSA_F_RSA_OSSL_PRIVATE_DECRYPT
, ERR_R_INTERNAL_ERROR
);
435 if (blinding
!= NULL
) {
436 if (!local_blinding
&& ((unblind
= BN_CTX_get(ctx
)) == NULL
)) {
437 RSAerr(RSA_F_RSA_OSSL_PRIVATE_DECRYPT
, ERR_R_MALLOC_FAILURE
);
440 if (!rsa_blinding_convert(blinding
, f
, unblind
, ctx
))
445 if ((rsa
->flags
& RSA_FLAG_EXT_PKEY
) ||
446 (rsa
->version
== RSA_ASN1_VERSION_MULTI
) ||
449 (rsa
->dmp1
!= NULL
) && (rsa
->dmq1
!= NULL
) && (rsa
->iqmp
!= NULL
))) {
450 if (!rsa
->meth
->rsa_mod_exp(ret
, f
, rsa
, ctx
))
453 BIGNUM
*d
= BN_new();
455 RSAerr(RSA_F_RSA_OSSL_PRIVATE_DECRYPT
, ERR_R_MALLOC_FAILURE
);
458 if (rsa
->d
== NULL
) {
459 RSAerr(RSA_F_RSA_OSSL_PRIVATE_DECRYPT
, RSA_R_MISSING_PRIVATE_KEY
);
463 BN_with_flags(d
, rsa
->d
, BN_FLG_CONSTTIME
);
465 if (rsa
->flags
& RSA_FLAG_CACHE_PUBLIC
)
466 if (!BN_MONT_CTX_set_locked(&rsa
->_method_mod_n
, rsa
->lock
,
471 if (!rsa
->meth
->bn_mod_exp(ret
, f
, d
, rsa
->n
, ctx
,
472 rsa
->_method_mod_n
)) {
476 /* We MUST free d before any further use of rsa->d */
481 if (!rsa_blinding_invert(blinding
, ret
, unblind
, ctx
))
484 j
= BN_bn2binpad(ret
, buf
, num
);
489 case RSA_PKCS1_PADDING
:
490 r
= RSA_padding_check_PKCS1_type_2(to
, num
, buf
, j
, num
);
492 case RSA_PKCS1_OAEP_PADDING
:
493 r
= RSA_padding_check_PKCS1_OAEP(to
, num
, buf
, j
, num
, NULL
, 0);
496 case RSA_SSLV23_PADDING
:
497 r
= RSA_padding_check_SSLv23(to
, num
, buf
, j
, num
);
501 memcpy(to
, buf
, (r
= j
));
504 RSAerr(RSA_F_RSA_OSSL_PRIVATE_DECRYPT
, RSA_R_UNKNOWN_PADDING_TYPE
);
509 * This trick doesn't work in the FIPS provider because libcrypto manages
510 * the error stack. Instead we opt not to put an error on the stack at all
511 * in case of padding failure in the FIPS provider.
513 RSAerr(RSA_F_RSA_OSSL_PRIVATE_DECRYPT
, RSA_R_PADDING_CHECK_FAILED
);
514 err_clear_last_constant_time(1 & ~constant_time_msb(r
));
520 OPENSSL_clear_free(buf
, num
);
524 /* signature verification */
525 static int rsa_ossl_public_decrypt(int flen
, const unsigned char *from
,
526 unsigned char *to
, RSA
*rsa
, int padding
)
529 int i
, num
= 0, r
= -1;
530 unsigned char *buf
= NULL
;
533 if (BN_num_bits(rsa
->n
) > OPENSSL_RSA_MAX_MODULUS_BITS
) {
534 RSAerr(RSA_F_RSA_OSSL_PUBLIC_DECRYPT
, RSA_R_MODULUS_TOO_LARGE
);
538 if (BN_ucmp(rsa
->n
, rsa
->e
) <= 0) {
539 RSAerr(RSA_F_RSA_OSSL_PUBLIC_DECRYPT
, RSA_R_BAD_E_VALUE
);
543 /* for large moduli, enforce exponent limit */
544 if (BN_num_bits(rsa
->n
) > OPENSSL_RSA_SMALL_MODULUS_BITS
) {
545 if (BN_num_bits(rsa
->e
) > OPENSSL_RSA_MAX_PUBEXP_BITS
) {
546 RSAerr(RSA_F_RSA_OSSL_PUBLIC_DECRYPT
, RSA_R_BAD_E_VALUE
);
551 if ((ctx
= BN_CTX_new_ex(rsa
->libctx
)) == NULL
)
555 ret
= BN_CTX_get(ctx
);
556 num
= BN_num_bytes(rsa
->n
);
557 buf
= OPENSSL_malloc(num
);
558 if (ret
== NULL
|| buf
== NULL
) {
559 RSAerr(RSA_F_RSA_OSSL_PUBLIC_DECRYPT
, ERR_R_MALLOC_FAILURE
);
564 * This check was for equality but PGP does evil things and chops off the
568 RSAerr(RSA_F_RSA_OSSL_PUBLIC_DECRYPT
, RSA_R_DATA_GREATER_THAN_MOD_LEN
);
572 if (BN_bin2bn(from
, flen
, f
) == NULL
)
575 if (BN_ucmp(f
, rsa
->n
) >= 0) {
576 RSAerr(RSA_F_RSA_OSSL_PUBLIC_DECRYPT
,
577 RSA_R_DATA_TOO_LARGE_FOR_MODULUS
);
581 if (rsa
->flags
& RSA_FLAG_CACHE_PUBLIC
)
582 if (!BN_MONT_CTX_set_locked(&rsa
->_method_mod_n
, rsa
->lock
,
586 if (!rsa
->meth
->bn_mod_exp(ret
, f
, rsa
->e
, rsa
->n
, ctx
,
590 if ((padding
== RSA_X931_PADDING
) && ((bn_get_words(ret
)[0] & 0xf) != 12))
591 if (!BN_sub(ret
, rsa
->n
, ret
))
594 i
= BN_bn2binpad(ret
, buf
, num
);
599 case RSA_PKCS1_PADDING
:
600 r
= RSA_padding_check_PKCS1_type_1(to
, num
, buf
, i
, num
);
602 case RSA_X931_PADDING
:
603 r
= RSA_padding_check_X931(to
, num
, buf
, i
, num
);
606 memcpy(to
, buf
, (r
= i
));
609 RSAerr(RSA_F_RSA_OSSL_PUBLIC_DECRYPT
, RSA_R_UNKNOWN_PADDING_TYPE
);
613 RSAerr(RSA_F_RSA_OSSL_PUBLIC_DECRYPT
, RSA_R_PADDING_CHECK_FAILED
);
618 OPENSSL_clear_free(buf
, num
);
622 static int rsa_ossl_mod_exp(BIGNUM
*r0
, const BIGNUM
*I
, RSA
*rsa
, BN_CTX
*ctx
)
624 BIGNUM
*r1
, *m1
, *vrfy
;
625 int ret
= 0, smooth
= 0;
627 BIGNUM
*r2
, *m
[RSA_MAX_PRIME_NUM
- 2];
628 int i
, ex_primes
= 0;
629 RSA_PRIME_INFO
*pinfo
;
634 r1
= BN_CTX_get(ctx
);
636 r2
= BN_CTX_get(ctx
);
638 m1
= BN_CTX_get(ctx
);
639 vrfy
= BN_CTX_get(ctx
);
644 if (rsa
->version
== RSA_ASN1_VERSION_MULTI
645 && ((ex_primes
= sk_RSA_PRIME_INFO_num(rsa
->prime_infos
)) <= 0
646 || ex_primes
> RSA_MAX_PRIME_NUM
- 2))
650 if (rsa
->flags
& RSA_FLAG_CACHE_PRIVATE
) {
651 BIGNUM
*factor
= BN_new();
657 * Make sure BN_mod_inverse in Montgomery initialization uses the
658 * BN_FLG_CONSTTIME flag
660 if (!(BN_with_flags(factor
, rsa
->p
, BN_FLG_CONSTTIME
),
661 BN_MONT_CTX_set_locked(&rsa
->_method_mod_p
, rsa
->lock
,
663 || !(BN_with_flags(factor
, rsa
->q
, BN_FLG_CONSTTIME
),
664 BN_MONT_CTX_set_locked(&rsa
->_method_mod_q
, rsa
->lock
,
670 for (i
= 0; i
< ex_primes
; i
++) {
671 pinfo
= sk_RSA_PRIME_INFO_value(rsa
->prime_infos
, i
);
672 BN_with_flags(factor
, pinfo
->r
, BN_FLG_CONSTTIME
);
673 if (!BN_MONT_CTX_set_locked(&pinfo
->m
, rsa
->lock
, factor
, ctx
)) {
680 * We MUST free |factor| before any further use of the prime factors
684 smooth
= (rsa
->meth
->bn_mod_exp
== BN_mod_exp_mont
)
688 && (BN_num_bits(rsa
->q
) == BN_num_bits(rsa
->p
));
691 if (rsa
->flags
& RSA_FLAG_CACHE_PUBLIC
)
692 if (!BN_MONT_CTX_set_locked(&rsa
->_method_mod_n
, rsa
->lock
,
698 * Conversion from Montgomery domain, a.k.a. Montgomery reduction,
699 * accepts values in [0-m*2^w) range. w is m's bit width rounded up
700 * to limb width. So that at the very least if |I| is fully reduced,
701 * i.e. less than p*q, we can count on from-to round to perform
702 * below modulo operations on |I|. Unlike BN_mod it's constant time.
704 if (/* m1 = I moq q */
705 !bn_from_mont_fixed_top(m1
, I
, rsa
->_method_mod_q
, ctx
)
706 || !bn_to_mont_fixed_top(m1
, m1
, rsa
->_method_mod_q
, ctx
)
707 /* m1 = m1^dmq1 mod q */
708 || !BN_mod_exp_mont_consttime(m1
, m1
, rsa
->dmq1
, rsa
->q
, ctx
,
711 || !bn_from_mont_fixed_top(r1
, I
, rsa
->_method_mod_p
, ctx
)
712 || !bn_to_mont_fixed_top(r1
, r1
, rsa
->_method_mod_p
, ctx
)
713 /* r1 = r1^dmp1 mod p */
714 || !BN_mod_exp_mont_consttime(r1
, r1
, rsa
->dmp1
, rsa
->p
, ctx
,
716 /* r1 = (r1 - m1) mod p */
718 * bn_mod_sub_fixed_top is not regular modular subtraction,
719 * it can tolerate subtrahend to be larger than modulus, but
720 * not bit-wise wider. This makes up for uncommon q>p case,
721 * when |m1| can be larger than |rsa->p|.
723 || !bn_mod_sub_fixed_top(r1
, r1
, m1
, rsa
->p
)
725 /* r1 = r1 * iqmp mod p */
726 || !bn_to_mont_fixed_top(r1
, r1
, rsa
->_method_mod_p
, ctx
)
727 || !bn_mul_mont_fixed_top(r1
, r1
, rsa
->iqmp
, rsa
->_method_mod_p
,
729 /* r0 = r1 * q + m1 */
730 || !bn_mul_fixed_top(r0
, r1
, rsa
->q
, ctx
)
731 || !bn_mod_add_fixed_top(r0
, r0
, m1
, rsa
->n
))
737 /* compute I mod q */
739 BIGNUM
*c
= BN_new();
742 BN_with_flags(c
, I
, BN_FLG_CONSTTIME
);
744 if (!BN_mod(r1
, c
, rsa
->q
, ctx
)) {
750 BIGNUM
*dmq1
= BN_new();
755 BN_with_flags(dmq1
, rsa
->dmq1
, BN_FLG_CONSTTIME
);
757 /* compute r1^dmq1 mod q */
758 if (!rsa
->meth
->bn_mod_exp(m1
, r1
, dmq1
, rsa
->q
, ctx
,
759 rsa
->_method_mod_q
)) {
764 /* We MUST free dmq1 before any further use of rsa->dmq1 */
768 /* compute I mod p */
769 if (!BN_mod(r1
, c
, rsa
->p
, ctx
)) {
773 /* We MUST free c before any further use of I */
778 BIGNUM
*dmp1
= BN_new();
781 BN_with_flags(dmp1
, rsa
->dmp1
, BN_FLG_CONSTTIME
);
783 /* compute r1^dmp1 mod p */
784 if (!rsa
->meth
->bn_mod_exp(r0
, r1
, dmp1
, rsa
->p
, ctx
,
785 rsa
->_method_mod_p
)) {
789 /* We MUST free dmp1 before any further use of rsa->dmp1 */
795 * calculate m_i in multi-prime case
798 * 1. squash the following two loops and calculate |m_i| there.
799 * 2. remove cc and reuse |c|.
800 * 3. remove |dmq1| and |dmp1| in previous block and use |di|.
802 * If these things are done, the code will be more readable.
805 BIGNUM
*di
= BN_new(), *cc
= BN_new();
807 if (cc
== NULL
|| di
== NULL
) {
813 for (i
= 0; i
< ex_primes
; i
++) {
815 if ((m
[i
] = BN_CTX_get(ctx
)) == NULL
) {
821 pinfo
= sk_RSA_PRIME_INFO_value(rsa
->prime_infos
, i
);
823 /* prepare c and d_i */
824 BN_with_flags(cc
, I
, BN_FLG_CONSTTIME
);
825 BN_with_flags(di
, pinfo
->d
, BN_FLG_CONSTTIME
);
827 if (!BN_mod(r1
, cc
, pinfo
->r
, ctx
)) {
832 /* compute r1 ^ d_i mod r_i */
833 if (!rsa
->meth
->bn_mod_exp(m
[i
], r1
, di
, pinfo
->r
, ctx
, pinfo
->m
)) {
845 if (!BN_sub(r0
, r0
, m1
))
848 * This will help stop the size of r0 increasing, which does affect the
849 * multiply if it optimised for a power of 2 size
851 if (BN_is_negative(r0
))
852 if (!BN_add(r0
, r0
, rsa
->p
))
855 if (!BN_mul(r1
, r0
, rsa
->iqmp
, ctx
))
859 BIGNUM
*pr1
= BN_new();
862 BN_with_flags(pr1
, r1
, BN_FLG_CONSTTIME
);
864 if (!BN_mod(r0
, pr1
, rsa
->p
, ctx
)) {
868 /* We MUST free pr1 before any further use of r1 */
873 * If p < q it is occasionally possible for the correction of adding 'p'
874 * if r0 is negative above to leave the result still negative. This can
875 * break the private key operations: the following second correction
876 * should *always* correct this rare occurrence. This will *never* happen
877 * with OpenSSL generated keys because they ensure p > q [steve]
879 if (BN_is_negative(r0
))
880 if (!BN_add(r0
, r0
, rsa
->p
))
882 if (!BN_mul(r1
, r0
, rsa
->q
, ctx
))
884 if (!BN_add(r0
, r1
, m1
))
888 /* add m_i to m in multi-prime case */
890 BIGNUM
*pr2
= BN_new();
895 for (i
= 0; i
< ex_primes
; i
++) {
896 pinfo
= sk_RSA_PRIME_INFO_value(rsa
->prime_infos
, i
);
897 if (!BN_sub(r1
, m
[i
], r0
)) {
902 if (!BN_mul(r2
, r1
, pinfo
->t
, ctx
)) {
907 BN_with_flags(pr2
, r2
, BN_FLG_CONSTTIME
);
909 if (!BN_mod(r1
, pr2
, pinfo
->r
, ctx
)) {
914 if (BN_is_negative(r1
))
915 if (!BN_add(r1
, r1
, pinfo
->r
)) {
919 if (!BN_mul(r1
, r1
, pinfo
->pp
, ctx
)) {
923 if (!BN_add(r0
, r0
, r1
)) {
933 if (rsa
->e
&& rsa
->n
) {
934 if (rsa
->meth
->bn_mod_exp
== BN_mod_exp_mont
) {
935 if (!BN_mod_exp_mont(vrfy
, r0
, rsa
->e
, rsa
->n
, ctx
,
940 if (!rsa
->meth
->bn_mod_exp(vrfy
, r0
, rsa
->e
, rsa
->n
, ctx
,
945 * If 'I' was greater than (or equal to) rsa->n, the operation will
946 * be equivalent to using 'I mod n'. However, the result of the
947 * verify will *always* be less than 'n' so we don't check for
948 * absolute equality, just congruency.
950 if (!BN_sub(vrfy
, vrfy
, I
))
952 if (BN_is_zero(vrfy
)) {
955 goto err
; /* not actually error */
957 if (!BN_mod(vrfy
, vrfy
, rsa
->n
, ctx
))
959 if (BN_is_negative(vrfy
))
960 if (!BN_add(vrfy
, vrfy
, rsa
->n
))
962 if (!BN_is_zero(vrfy
)) {
964 * 'I' and 'vrfy' aren't congruent mod n. Don't leak
965 * miscalculated CRT output, just do a raw (slower) mod_exp and
966 * return that instead.
969 BIGNUM
*d
= BN_new();
972 BN_with_flags(d
, rsa
->d
, BN_FLG_CONSTTIME
);
974 if (!rsa
->meth
->bn_mod_exp(r0
, I
, d
, rsa
->n
, ctx
,
975 rsa
->_method_mod_n
)) {
979 /* We MUST free d before any further use of rsa->d */
984 * It's unfortunate that we have to bn_correct_top(r0). What hopefully
985 * saves the day is that correction is highly unlike, and private key
986 * operations are customarily performed on blinded message. Which means
987 * that attacker won't observe correlation with chosen plaintext.
988 * Secondly, remaining code would still handle it in same computational
989 * time and even conceal memory access pattern around corrected top.
998 static int rsa_ossl_init(RSA
*rsa
)
1000 rsa
->flags
|= RSA_FLAG_CACHE_PUBLIC
| RSA_FLAG_CACHE_PRIVATE
;
1004 static int rsa_ossl_finish(RSA
*rsa
)
1008 RSA_PRIME_INFO
*pinfo
;
1010 for (i
= 0; i
< sk_RSA_PRIME_INFO_num(rsa
->prime_infos
); i
++) {
1011 pinfo
= sk_RSA_PRIME_INFO_value(rsa
->prime_infos
, i
);
1012 BN_MONT_CTX_free(pinfo
->m
);
1016 BN_MONT_CTX_free(rsa
->_method_mod_n
);
1017 BN_MONT_CTX_free(rsa
->_method_mod_p
);
1018 BN_MONT_CTX_free(rsa
->_method_mod_q
);