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1 /*
2  * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
3  *
4  * Licensed under the OpenSSL license (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
8  */
9 
10 #include "internal/cryptlib.h"
11 #include "crypto/bn.h"
12 #include "rsa_local.h"
13 #include "internal/constant_time.h"
14 
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,
24                            BN_CTX *ctx);
25 static int rsa_ossl_init(RSA *rsa);
26 static int rsa_ossl_finish(RSA *rsa);
27 static RSA_METHOD rsa_pkcs1_ossl_meth = {
28     "OpenSSL PKCS#1 RSA",
29     rsa_ossl_public_encrypt,
30     rsa_ossl_public_decrypt,     /* signature verification */
31     rsa_ossl_private_encrypt,    /* signing */
32     rsa_ossl_private_decrypt,
33     rsa_ossl_mod_exp,
34     BN_mod_exp_mont,            /* XXX probably we should not use Montgomery
35                                  * if e == 3 */
36     rsa_ossl_init,
37     rsa_ossl_finish,
38     RSA_FLAG_FIPS_METHOD,       /* flags */
39     NULL,
40     0,                          /* rsa_sign */
41     0,                          /* rsa_verify */
42     NULL,                       /* rsa_keygen */
43     NULL                        /* rsa_multi_prime_keygen */
44 };
45 
46 static const RSA_METHOD *default_RSA_meth = &rsa_pkcs1_ossl_meth;
47 
RSA_set_default_method(const RSA_METHOD * meth)48 void RSA_set_default_method(const RSA_METHOD *meth)
49 {
50     default_RSA_meth = meth;
51 }
52 
RSA_get_default_method(void)53 const RSA_METHOD *RSA_get_default_method(void)
54 {
55     return default_RSA_meth;
56 }
57 
RSA_PKCS1_OpenSSL(void)58 const RSA_METHOD *RSA_PKCS1_OpenSSL(void)
59 {
60     return &rsa_pkcs1_ossl_meth;
61 }
62 
RSA_null_method(void)63 const RSA_METHOD *RSA_null_method(void)
64 {
65     return NULL;
66 }
67 
rsa_ossl_public_encrypt(int flen,const unsigned char * from,unsigned char * to,RSA * rsa,int padding)68 static int rsa_ossl_public_encrypt(int flen, const unsigned char *from,
69                                   unsigned char *to, RSA *rsa, int padding)
70 {
71     BIGNUM *f, *ret;
72     int i, num = 0, r = -1;
73     unsigned char *buf = NULL;
74     BN_CTX *ctx = NULL;
75 
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);
78         return -1;
79     }
80 
81     if (BN_ucmp(rsa->n, rsa->e) <= 0) {
82         RSAerr(RSA_F_RSA_OSSL_PUBLIC_ENCRYPT, RSA_R_BAD_E_VALUE);
83         return -1;
84     }
85 
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);
90             return -1;
91         }
92     }
93 
94     if ((ctx = BN_CTX_new()) == NULL)
95         goto err;
96     BN_CTX_start(ctx);
97     f = BN_CTX_get(ctx);
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);
103         goto err;
104     }
105 
106     switch (padding) {
107     case RSA_PKCS1_PADDING:
108         i = RSA_padding_add_PKCS1_type_2(buf, num, from, flen);
109         break;
110     case RSA_PKCS1_OAEP_PADDING:
111         i = RSA_padding_add_PKCS1_OAEP(buf, num, from, flen, NULL, 0);
112         break;
113     case RSA_SSLV23_PADDING:
114         i = RSA_padding_add_SSLv23(buf, num, from, flen);
115         break;
116     case RSA_NO_PADDING:
117         i = RSA_padding_add_none(buf, num, from, flen);
118         break;
119     default:
120         RSAerr(RSA_F_RSA_OSSL_PUBLIC_ENCRYPT, RSA_R_UNKNOWN_PADDING_TYPE);
121         goto err;
122     }
123     if (i <= 0)
124         goto err;
125 
126     if (BN_bin2bn(buf, num, f) == NULL)
127         goto err;
128 
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);
133         goto err;
134     }
135 
136     if (rsa->flags & RSA_FLAG_CACHE_PUBLIC)
137         if (!BN_MONT_CTX_set_locked(&rsa->_method_mod_n, rsa->lock,
138                                     rsa->n, ctx))
139             goto err;
140 
141     if (!rsa->meth->bn_mod_exp(ret, f, rsa->e, rsa->n, ctx,
142                                rsa->_method_mod_n))
143         goto err;
144 
145     /*
146      * BN_bn2binpad puts in leading 0 bytes if the number is less than
147      * the length of the modulus.
148      */
149     r = BN_bn2binpad(ret, to, num);
150  err:
151     BN_CTX_end(ctx);
152     BN_CTX_free(ctx);
153     OPENSSL_clear_free(buf, num);
154     return r;
155 }
156 
rsa_get_blinding(RSA * rsa,int * local,BN_CTX * ctx)157 static BN_BLINDING *rsa_get_blinding(RSA *rsa, int *local, BN_CTX *ctx)
158 {
159     BN_BLINDING *ret;
160 
161     CRYPTO_THREAD_write_lock(rsa->lock);
162 
163     if (rsa->blinding == NULL) {
164         rsa->blinding = RSA_setup_blinding(rsa, ctx);
165     }
166 
167     ret = rsa->blinding;
168     if (ret == NULL)
169         goto err;
170 
171     if (BN_BLINDING_is_current_thread(ret)) {
172         /* rsa->blinding is ours! */
173 
174         *local = 1;
175     } else {
176         /* resort to rsa->mt_blinding instead */
177 
178         /*
179          * instructs rsa_blinding_convert(), rsa_blinding_invert() that the
180          * BN_BLINDING is shared, meaning that accesses require locks, and
181          * that the blinding factor must be stored outside the BN_BLINDING
182          */
183         *local = 0;
184 
185         if (rsa->mt_blinding == NULL) {
186             rsa->mt_blinding = RSA_setup_blinding(rsa, ctx);
187         }
188         ret = rsa->mt_blinding;
189     }
190 
191  err:
192     CRYPTO_THREAD_unlock(rsa->lock);
193     return ret;
194 }
195 
rsa_blinding_convert(BN_BLINDING * b,BIGNUM * f,BIGNUM * unblind,BN_CTX * ctx)196 static int rsa_blinding_convert(BN_BLINDING *b, BIGNUM *f, BIGNUM *unblind,
197                                 BN_CTX *ctx)
198 {
199     if (unblind == NULL) {
200         /*
201          * Local blinding: store the unblinding factor in BN_BLINDING.
202          */
203         return BN_BLINDING_convert_ex(f, NULL, b, ctx);
204     } else {
205         /*
206          * Shared blinding: store the unblinding factor outside BN_BLINDING.
207          */
208         int ret;
209 
210         BN_BLINDING_lock(b);
211         ret = BN_BLINDING_convert_ex(f, unblind, b, ctx);
212         BN_BLINDING_unlock(b);
213 
214         return ret;
215     }
216 }
217 
rsa_blinding_invert(BN_BLINDING * b,BIGNUM * f,BIGNUM * unblind,BN_CTX * ctx)218 static int rsa_blinding_invert(BN_BLINDING *b, BIGNUM *f, BIGNUM *unblind,
219                                BN_CTX *ctx)
220 {
221     /*
222      * For local blinding, unblind is set to NULL, and BN_BLINDING_invert_ex
223      * will use the unblinding factor stored in BN_BLINDING. If BN_BLINDING
224      * is shared between threads, unblind must be non-null:
225      * BN_BLINDING_invert_ex will then use the local unblinding factor, and
226      * will only read the modulus from BN_BLINDING. In both cases it's safe
227      * to access the blinding without a lock.
228      */
229     return BN_BLINDING_invert_ex(f, unblind, b, ctx);
230 }
231 
232 /* signing */
rsa_ossl_private_encrypt(int flen,const unsigned char * from,unsigned char * to,RSA * rsa,int padding)233 static int rsa_ossl_private_encrypt(int flen, const unsigned char *from,
234                                    unsigned char *to, RSA *rsa, int padding)
235 {
236     BIGNUM *f, *ret, *res;
237     int i, num = 0, r = -1;
238     unsigned char *buf = NULL;
239     BN_CTX *ctx = NULL;
240     int local_blinding = 0;
241     /*
242      * Used only if the blinding structure is shared. A non-NULL unblind
243      * instructs rsa_blinding_convert() and rsa_blinding_invert() to store
244      * the unblinding factor outside the blinding structure.
245      */
246     BIGNUM *unblind = NULL;
247     BN_BLINDING *blinding = NULL;
248 
249     if ((ctx = BN_CTX_new()) == NULL)
250         goto err;
251     BN_CTX_start(ctx);
252     f = BN_CTX_get(ctx);
253     ret = BN_CTX_get(ctx);
254     num = BN_num_bytes(rsa->n);
255     buf = OPENSSL_malloc(num);
256     if (ret == NULL || buf == NULL) {
257         RSAerr(RSA_F_RSA_OSSL_PRIVATE_ENCRYPT, ERR_R_MALLOC_FAILURE);
258         goto err;
259     }
260 
261     switch (padding) {
262     case RSA_PKCS1_PADDING:
263         i = RSA_padding_add_PKCS1_type_1(buf, num, from, flen);
264         break;
265     case RSA_X931_PADDING:
266         i = RSA_padding_add_X931(buf, num, from, flen);
267         break;
268     case RSA_NO_PADDING:
269         i = RSA_padding_add_none(buf, num, from, flen);
270         break;
271     case RSA_SSLV23_PADDING:
272     default:
273         RSAerr(RSA_F_RSA_OSSL_PRIVATE_ENCRYPT, RSA_R_UNKNOWN_PADDING_TYPE);
274         goto err;
275     }
276     if (i <= 0)
277         goto err;
278 
279     if (BN_bin2bn(buf, num, f) == NULL)
280         goto err;
281 
282     if (BN_ucmp(f, rsa->n) >= 0) {
283         /* usually the padding functions would catch this */
284         RSAerr(RSA_F_RSA_OSSL_PRIVATE_ENCRYPT,
285                RSA_R_DATA_TOO_LARGE_FOR_MODULUS);
286         goto err;
287     }
288 
289     if (rsa->flags & RSA_FLAG_CACHE_PUBLIC)
290         if (!BN_MONT_CTX_set_locked(&rsa->_method_mod_n, rsa->lock,
291                                     rsa->n, ctx))
292             goto err;
293 
294     if (!(rsa->flags & RSA_FLAG_NO_BLINDING)) {
295         blinding = rsa_get_blinding(rsa, &local_blinding, ctx);
296         if (blinding == NULL) {
297             RSAerr(RSA_F_RSA_OSSL_PRIVATE_ENCRYPT, ERR_R_INTERNAL_ERROR);
298             goto err;
299         }
300     }
301 
302     if (blinding != NULL) {
303         if (!local_blinding && ((unblind = BN_CTX_get(ctx)) == NULL)) {
304             RSAerr(RSA_F_RSA_OSSL_PRIVATE_ENCRYPT, ERR_R_MALLOC_FAILURE);
305             goto err;
306         }
307         if (!rsa_blinding_convert(blinding, f, unblind, ctx))
308             goto err;
309     }
310 
311     if ((rsa->flags & RSA_FLAG_EXT_PKEY) ||
312         (rsa->version == RSA_ASN1_VERSION_MULTI) ||
313         ((rsa->p != NULL) &&
314          (rsa->q != NULL) &&
315          (rsa->dmp1 != NULL) && (rsa->dmq1 != NULL) && (rsa->iqmp != NULL))) {
316         if (!rsa->meth->rsa_mod_exp(ret, f, rsa, ctx))
317             goto err;
318     } else {
319         BIGNUM *d = BN_new();
320         if (d == NULL) {
321             RSAerr(RSA_F_RSA_OSSL_PRIVATE_ENCRYPT, ERR_R_MALLOC_FAILURE);
322             goto err;
323         }
324         if (rsa->d == NULL) {
325             RSAerr(RSA_F_RSA_OSSL_PRIVATE_ENCRYPT, RSA_R_MISSING_PRIVATE_KEY);
326             BN_free(d);
327             goto err;
328         }
329         BN_with_flags(d, rsa->d, BN_FLG_CONSTTIME);
330 
331         if (!rsa->meth->bn_mod_exp(ret, f, d, rsa->n, ctx,
332                                    rsa->_method_mod_n)) {
333             BN_free(d);
334             goto err;
335         }
336         /* We MUST free d before any further use of rsa->d */
337         BN_free(d);
338     }
339 
340     if (blinding)
341         if (!rsa_blinding_invert(blinding, ret, unblind, ctx))
342             goto err;
343 
344     if (padding == RSA_X931_PADDING) {
345         if (!BN_sub(f, rsa->n, ret))
346             goto err;
347         if (BN_cmp(ret, f) > 0)
348             res = f;
349         else
350             res = ret;
351     } else {
352         res = ret;
353     }
354 
355     /*
356      * BN_bn2binpad puts in leading 0 bytes if the number is less than
357      * the length of the modulus.
358      */
359     r = BN_bn2binpad(res, to, num);
360  err:
361     BN_CTX_end(ctx);
362     BN_CTX_free(ctx);
363     OPENSSL_clear_free(buf, num);
364     return r;
365 }
366 
rsa_ossl_private_decrypt(int flen,const unsigned char * from,unsigned char * to,RSA * rsa,int padding)367 static int rsa_ossl_private_decrypt(int flen, const unsigned char *from,
368                                    unsigned char *to, RSA *rsa, int padding)
369 {
370     BIGNUM *f, *ret;
371     int j, num = 0, r = -1;
372     unsigned char *buf = NULL;
373     BN_CTX *ctx = NULL;
374     int local_blinding = 0;
375     /*
376      * Used only if the blinding structure is shared. A non-NULL unblind
377      * instructs rsa_blinding_convert() and rsa_blinding_invert() to store
378      * the unblinding factor outside the blinding structure.
379      */
380     BIGNUM *unblind = NULL;
381     BN_BLINDING *blinding = NULL;
382 
383     if ((ctx = BN_CTX_new()) == NULL)
384         goto err;
385     BN_CTX_start(ctx);
386     f = BN_CTX_get(ctx);
387     ret = BN_CTX_get(ctx);
388     num = BN_num_bytes(rsa->n);
389     buf = OPENSSL_malloc(num);
390     if (ret == NULL || buf == NULL) {
391         RSAerr(RSA_F_RSA_OSSL_PRIVATE_DECRYPT, ERR_R_MALLOC_FAILURE);
392         goto err;
393     }
394 
395     /*
396      * This check was for equality but PGP does evil things and chops off the
397      * top '0' bytes
398      */
399     if (flen > num) {
400         RSAerr(RSA_F_RSA_OSSL_PRIVATE_DECRYPT,
401                RSA_R_DATA_GREATER_THAN_MOD_LEN);
402         goto err;
403     }
404 
405     /* make data into a big number */
406     if (BN_bin2bn(from, (int)flen, f) == NULL)
407         goto err;
408 
409     if (BN_ucmp(f, rsa->n) >= 0) {
410         RSAerr(RSA_F_RSA_OSSL_PRIVATE_DECRYPT,
411                RSA_R_DATA_TOO_LARGE_FOR_MODULUS);
412         goto err;
413     }
414 
415     if (!(rsa->flags & RSA_FLAG_NO_BLINDING)) {
416         blinding = rsa_get_blinding(rsa, &local_blinding, ctx);
417         if (blinding == NULL) {
418             RSAerr(RSA_F_RSA_OSSL_PRIVATE_DECRYPT, ERR_R_INTERNAL_ERROR);
419             goto err;
420         }
421     }
422 
423     if (blinding != NULL) {
424         if (!local_blinding && ((unblind = BN_CTX_get(ctx)) == NULL)) {
425             RSAerr(RSA_F_RSA_OSSL_PRIVATE_DECRYPT, ERR_R_MALLOC_FAILURE);
426             goto err;
427         }
428         if (!rsa_blinding_convert(blinding, f, unblind, ctx))
429             goto err;
430     }
431 
432     /* do the decrypt */
433     if ((rsa->flags & RSA_FLAG_EXT_PKEY) ||
434         (rsa->version == RSA_ASN1_VERSION_MULTI) ||
435         ((rsa->p != NULL) &&
436          (rsa->q != NULL) &&
437          (rsa->dmp1 != NULL) && (rsa->dmq1 != NULL) && (rsa->iqmp != NULL))) {
438         if (!rsa->meth->rsa_mod_exp(ret, f, rsa, ctx))
439             goto err;
440     } else {
441         BIGNUM *d = BN_new();
442         if (d == NULL) {
443             RSAerr(RSA_F_RSA_OSSL_PRIVATE_DECRYPT, ERR_R_MALLOC_FAILURE);
444             goto err;
445         }
446         if (rsa->d == NULL) {
447             RSAerr(RSA_F_RSA_OSSL_PRIVATE_DECRYPT, RSA_R_MISSING_PRIVATE_KEY);
448             BN_free(d);
449             goto err;
450         }
451         BN_with_flags(d, rsa->d, BN_FLG_CONSTTIME);
452 
453         if (rsa->flags & RSA_FLAG_CACHE_PUBLIC)
454             if (!BN_MONT_CTX_set_locked(&rsa->_method_mod_n, rsa->lock,
455                                         rsa->n, ctx)) {
456                 BN_free(d);
457                 goto err;
458             }
459         if (!rsa->meth->bn_mod_exp(ret, f, d, rsa->n, ctx,
460                                    rsa->_method_mod_n)) {
461             BN_free(d);
462             goto err;
463         }
464         /* We MUST free d before any further use of rsa->d */
465         BN_free(d);
466     }
467 
468     if (blinding) {
469         /*
470          * ossl_bn_rsa_do_unblind() combines blinding inversion and
471          * 0-padded BN BE serialization
472          */
473         j = ossl_bn_rsa_do_unblind(ret, blinding, unblind, rsa->n, ctx,
474                                    buf, num);
475         if (j == 0)
476             goto err;
477     } else {
478         j = BN_bn2binpad(ret, buf, num);
479         if (j < 0)
480             goto err;
481     }
482 
483     switch (padding) {
484     case RSA_PKCS1_PADDING:
485         r = RSA_padding_check_PKCS1_type_2(to, num, buf, j, num);
486         break;
487     case RSA_PKCS1_OAEP_PADDING:
488         r = RSA_padding_check_PKCS1_OAEP(to, num, buf, j, num, NULL, 0);
489         break;
490     case RSA_SSLV23_PADDING:
491         r = RSA_padding_check_SSLv23(to, num, buf, j, num);
492         break;
493     case RSA_NO_PADDING:
494         memcpy(to, buf, (r = j));
495         break;
496     default:
497         RSAerr(RSA_F_RSA_OSSL_PRIVATE_DECRYPT, RSA_R_UNKNOWN_PADDING_TYPE);
498         goto err;
499     }
500     RSAerr(RSA_F_RSA_OSSL_PRIVATE_DECRYPT, RSA_R_PADDING_CHECK_FAILED);
501     err_clear_last_constant_time(1 & ~constant_time_msb(r));
502 
503  err:
504     BN_CTX_end(ctx);
505     BN_CTX_free(ctx);
506     OPENSSL_clear_free(buf, num);
507     return r;
508 }
509 
510 /* signature verification */
rsa_ossl_public_decrypt(int flen,const unsigned char * from,unsigned char * to,RSA * rsa,int padding)511 static int rsa_ossl_public_decrypt(int flen, const unsigned char *from,
512                                   unsigned char *to, RSA *rsa, int padding)
513 {
514     BIGNUM *f, *ret;
515     int i, num = 0, r = -1;
516     unsigned char *buf = NULL;
517     BN_CTX *ctx = NULL;
518 
519     if (BN_num_bits(rsa->n) > OPENSSL_RSA_MAX_MODULUS_BITS) {
520         RSAerr(RSA_F_RSA_OSSL_PUBLIC_DECRYPT, RSA_R_MODULUS_TOO_LARGE);
521         return -1;
522     }
523 
524     if (BN_ucmp(rsa->n, rsa->e) <= 0) {
525         RSAerr(RSA_F_RSA_OSSL_PUBLIC_DECRYPT, RSA_R_BAD_E_VALUE);
526         return -1;
527     }
528 
529     /* for large moduli, enforce exponent limit */
530     if (BN_num_bits(rsa->n) > OPENSSL_RSA_SMALL_MODULUS_BITS) {
531         if (BN_num_bits(rsa->e) > OPENSSL_RSA_MAX_PUBEXP_BITS) {
532             RSAerr(RSA_F_RSA_OSSL_PUBLIC_DECRYPT, RSA_R_BAD_E_VALUE);
533             return -1;
534         }
535     }
536 
537     if ((ctx = BN_CTX_new()) == NULL)
538         goto err;
539     BN_CTX_start(ctx);
540     f = BN_CTX_get(ctx);
541     ret = BN_CTX_get(ctx);
542     num = BN_num_bytes(rsa->n);
543     buf = OPENSSL_malloc(num);
544     if (ret == NULL || buf == NULL) {
545         RSAerr(RSA_F_RSA_OSSL_PUBLIC_DECRYPT, ERR_R_MALLOC_FAILURE);
546         goto err;
547     }
548 
549     /*
550      * This check was for equality but PGP does evil things and chops off the
551      * top '0' bytes
552      */
553     if (flen > num) {
554         RSAerr(RSA_F_RSA_OSSL_PUBLIC_DECRYPT, RSA_R_DATA_GREATER_THAN_MOD_LEN);
555         goto err;
556     }
557 
558     if (BN_bin2bn(from, flen, f) == NULL)
559         goto err;
560 
561     if (BN_ucmp(f, rsa->n) >= 0) {
562         RSAerr(RSA_F_RSA_OSSL_PUBLIC_DECRYPT,
563                RSA_R_DATA_TOO_LARGE_FOR_MODULUS);
564         goto err;
565     }
566 
567     if (rsa->flags & RSA_FLAG_CACHE_PUBLIC)
568         if (!BN_MONT_CTX_set_locked(&rsa->_method_mod_n, rsa->lock,
569                                     rsa->n, ctx))
570             goto err;
571 
572     if (!rsa->meth->bn_mod_exp(ret, f, rsa->e, rsa->n, ctx,
573                                rsa->_method_mod_n))
574         goto err;
575 
576     if ((padding == RSA_X931_PADDING) && ((bn_get_words(ret)[0] & 0xf) != 12))
577         if (!BN_sub(ret, rsa->n, ret))
578             goto err;
579 
580     i = BN_bn2binpad(ret, buf, num);
581 
582     switch (padding) {
583     case RSA_PKCS1_PADDING:
584         r = RSA_padding_check_PKCS1_type_1(to, num, buf, i, num);
585         break;
586     case RSA_X931_PADDING:
587         r = RSA_padding_check_X931(to, num, buf, i, num);
588         break;
589     case RSA_NO_PADDING:
590         memcpy(to, buf, (r = i));
591         break;
592     default:
593         RSAerr(RSA_F_RSA_OSSL_PUBLIC_DECRYPT, RSA_R_UNKNOWN_PADDING_TYPE);
594         goto err;
595     }
596     if (r < 0)
597         RSAerr(RSA_F_RSA_OSSL_PUBLIC_DECRYPT, RSA_R_PADDING_CHECK_FAILED);
598 
599  err:
600     BN_CTX_end(ctx);
601     BN_CTX_free(ctx);
602     OPENSSL_clear_free(buf, num);
603     return r;
604 }
605 
rsa_ossl_mod_exp(BIGNUM * r0,const BIGNUM * I,RSA * rsa,BN_CTX * ctx)606 static int rsa_ossl_mod_exp(BIGNUM *r0, const BIGNUM *I, RSA *rsa, BN_CTX *ctx)
607 {
608     BIGNUM *r1, *m1, *vrfy, *r2, *m[RSA_MAX_PRIME_NUM - 2];
609     int ret = 0, i, ex_primes = 0, smooth = 0;
610     RSA_PRIME_INFO *pinfo;
611 
612     BN_CTX_start(ctx);
613 
614     r1 = BN_CTX_get(ctx);
615     r2 = BN_CTX_get(ctx);
616     m1 = BN_CTX_get(ctx);
617     vrfy = BN_CTX_get(ctx);
618     if (vrfy == NULL)
619         goto err;
620 
621     if (rsa->version == RSA_ASN1_VERSION_MULTI
622         && ((ex_primes = sk_RSA_PRIME_INFO_num(rsa->prime_infos)) <= 0
623              || ex_primes > RSA_MAX_PRIME_NUM - 2))
624         goto err;
625 
626     if (rsa->flags & RSA_FLAG_CACHE_PRIVATE) {
627         BIGNUM *factor = BN_new();
628 
629         if (factor == NULL)
630             goto err;
631 
632         /*
633          * Make sure BN_mod_inverse in Montgomery initialization uses the
634          * BN_FLG_CONSTTIME flag
635          */
636         if (!(BN_with_flags(factor, rsa->p, BN_FLG_CONSTTIME),
637               BN_MONT_CTX_set_locked(&rsa->_method_mod_p, rsa->lock,
638                                      factor, ctx))
639             || !(BN_with_flags(factor, rsa->q, BN_FLG_CONSTTIME),
640                  BN_MONT_CTX_set_locked(&rsa->_method_mod_q, rsa->lock,
641                                         factor, ctx))) {
642             BN_free(factor);
643             goto err;
644         }
645         for (i = 0; i < ex_primes; i++) {
646             pinfo = sk_RSA_PRIME_INFO_value(rsa->prime_infos, i);
647             BN_with_flags(factor, pinfo->r, BN_FLG_CONSTTIME);
648             if (!BN_MONT_CTX_set_locked(&pinfo->m, rsa->lock, factor, ctx)) {
649                 BN_free(factor);
650                 goto err;
651             }
652         }
653         /*
654          * We MUST free |factor| before any further use of the prime factors
655          */
656         BN_free(factor);
657 
658         smooth = (ex_primes == 0)
659                  && (rsa->meth->bn_mod_exp == BN_mod_exp_mont)
660                  && (BN_num_bits(rsa->q) == BN_num_bits(rsa->p));
661     }
662 
663     if (rsa->flags & RSA_FLAG_CACHE_PUBLIC)
664         if (!BN_MONT_CTX_set_locked(&rsa->_method_mod_n, rsa->lock,
665                                     rsa->n, ctx))
666             goto err;
667 
668     if (smooth) {
669         /*
670          * Conversion from Montgomery domain, a.k.a. Montgomery reduction,
671          * accepts values in [0-m*2^w) range. w is m's bit width rounded up
672          * to limb width. So that at the very least if |I| is fully reduced,
673          * i.e. less than p*q, we can count on from-to round to perform
674          * below modulo operations on |I|. Unlike BN_mod it's constant time.
675          */
676         if (/* m1 = I moq q */
677             !bn_from_mont_fixed_top(m1, I, rsa->_method_mod_q, ctx)
678             || !bn_to_mont_fixed_top(m1, m1, rsa->_method_mod_q, ctx)
679             /* m1 = m1^dmq1 mod q */
680             || !BN_mod_exp_mont_consttime(m1, m1, rsa->dmq1, rsa->q, ctx,
681                                           rsa->_method_mod_q)
682             /* r1 = I mod p */
683             || !bn_from_mont_fixed_top(r1, I, rsa->_method_mod_p, ctx)
684             || !bn_to_mont_fixed_top(r1, r1, rsa->_method_mod_p, ctx)
685             /* r1 = r1^dmp1 mod p */
686             || !BN_mod_exp_mont_consttime(r1, r1, rsa->dmp1, rsa->p, ctx,
687                                           rsa->_method_mod_p)
688             /* r1 = (r1 - m1) mod p */
689             /*
690              * bn_mod_sub_fixed_top is not regular modular subtraction,
691              * it can tolerate subtrahend to be larger than modulus, but
692              * not bit-wise wider. This makes up for uncommon q>p case,
693              * when |m1| can be larger than |rsa->p|.
694              */
695             || !bn_mod_sub_fixed_top(r1, r1, m1, rsa->p)
696 
697             /* r1 = r1 * iqmp mod p */
698             || !bn_to_mont_fixed_top(r1, r1, rsa->_method_mod_p, ctx)
699             || !bn_mul_mont_fixed_top(r1, r1, rsa->iqmp, rsa->_method_mod_p,
700                                       ctx)
701             /* r0 = r1 * q + m1 */
702             || !bn_mul_fixed_top(r0, r1, rsa->q, ctx)
703             || !bn_mod_add_fixed_top(r0, r0, m1, rsa->n))
704             goto err;
705 
706         goto tail;
707     }
708 
709     /* compute I mod q */
710     {
711         BIGNUM *c = BN_new();
712         if (c == NULL)
713             goto err;
714         BN_with_flags(c, I, BN_FLG_CONSTTIME);
715 
716         if (!BN_mod(r1, c, rsa->q, ctx)) {
717             BN_free(c);
718             goto err;
719         }
720 
721         {
722             BIGNUM *dmq1 = BN_new();
723             if (dmq1 == NULL) {
724                 BN_free(c);
725                 goto err;
726             }
727             BN_with_flags(dmq1, rsa->dmq1, BN_FLG_CONSTTIME);
728 
729             /* compute r1^dmq1 mod q */
730             if (!rsa->meth->bn_mod_exp(m1, r1, dmq1, rsa->q, ctx,
731                                        rsa->_method_mod_q)) {
732                 BN_free(c);
733                 BN_free(dmq1);
734                 goto err;
735             }
736             /* We MUST free dmq1 before any further use of rsa->dmq1 */
737             BN_free(dmq1);
738         }
739 
740         /* compute I mod p */
741         if (!BN_mod(r1, c, rsa->p, ctx)) {
742             BN_free(c);
743             goto err;
744         }
745         /* We MUST free c before any further use of I */
746         BN_free(c);
747     }
748 
749     {
750         BIGNUM *dmp1 = BN_new();
751         if (dmp1 == NULL)
752             goto err;
753         BN_with_flags(dmp1, rsa->dmp1, BN_FLG_CONSTTIME);
754 
755         /* compute r1^dmp1 mod p */
756         if (!rsa->meth->bn_mod_exp(r0, r1, dmp1, rsa->p, ctx,
757                                    rsa->_method_mod_p)) {
758             BN_free(dmp1);
759             goto err;
760         }
761         /* We MUST free dmp1 before any further use of rsa->dmp1 */
762         BN_free(dmp1);
763     }
764 
765     /*
766      * calculate m_i in multi-prime case
767      *
768      * TODO:
769      * 1. squash the following two loops and calculate |m_i| there.
770      * 2. remove cc and reuse |c|.
771      * 3. remove |dmq1| and |dmp1| in previous block and use |di|.
772      *
773      * If these things are done, the code will be more readable.
774      */
775     if (ex_primes > 0) {
776         BIGNUM *di = BN_new(), *cc = BN_new();
777 
778         if (cc == NULL || di == NULL) {
779             BN_free(cc);
780             BN_free(di);
781             goto err;
782         }
783 
784         for (i = 0; i < ex_primes; i++) {
785             /* prepare m_i */
786             if ((m[i] = BN_CTX_get(ctx)) == NULL) {
787                 BN_free(cc);
788                 BN_free(di);
789                 goto err;
790             }
791 
792             pinfo = sk_RSA_PRIME_INFO_value(rsa->prime_infos, i);
793 
794             /* prepare c and d_i */
795             BN_with_flags(cc, I, BN_FLG_CONSTTIME);
796             BN_with_flags(di, pinfo->d, BN_FLG_CONSTTIME);
797 
798             if (!BN_mod(r1, cc, pinfo->r, ctx)) {
799                 BN_free(cc);
800                 BN_free(di);
801                 goto err;
802             }
803             /* compute r1 ^ d_i mod r_i */
804             if (!rsa->meth->bn_mod_exp(m[i], r1, di, pinfo->r, ctx, pinfo->m)) {
805                 BN_free(cc);
806                 BN_free(di);
807                 goto err;
808             }
809         }
810 
811         BN_free(cc);
812         BN_free(di);
813     }
814 
815     if (!BN_sub(r0, r0, m1))
816         goto err;
817     /*
818      * This will help stop the size of r0 increasing, which does affect the
819      * multiply if it optimised for a power of 2 size
820      */
821     if (BN_is_negative(r0))
822         if (!BN_add(r0, r0, rsa->p))
823             goto err;
824 
825     if (!BN_mul(r1, r0, rsa->iqmp, ctx))
826         goto err;
827 
828     {
829         BIGNUM *pr1 = BN_new();
830         if (pr1 == NULL)
831             goto err;
832         BN_with_flags(pr1, r1, BN_FLG_CONSTTIME);
833 
834         if (!BN_mod(r0, pr1, rsa->p, ctx)) {
835             BN_free(pr1);
836             goto err;
837         }
838         /* We MUST free pr1 before any further use of r1 */
839         BN_free(pr1);
840     }
841 
842     /*
843      * If p < q it is occasionally possible for the correction of adding 'p'
844      * if r0 is negative above to leave the result still negative. This can
845      * break the private key operations: the following second correction
846      * should *always* correct this rare occurrence. This will *never* happen
847      * with OpenSSL generated keys because they ensure p > q [steve]
848      */
849     if (BN_is_negative(r0))
850         if (!BN_add(r0, r0, rsa->p))
851             goto err;
852     if (!BN_mul(r1, r0, rsa->q, ctx))
853         goto err;
854     if (!BN_add(r0, r1, m1))
855         goto err;
856 
857     /* add m_i to m in multi-prime case */
858     if (ex_primes > 0) {
859         BIGNUM *pr2 = BN_new();
860 
861         if (pr2 == NULL)
862             goto err;
863 
864         for (i = 0; i < ex_primes; i++) {
865             pinfo = sk_RSA_PRIME_INFO_value(rsa->prime_infos, i);
866             if (!BN_sub(r1, m[i], r0)) {
867                 BN_free(pr2);
868                 goto err;
869             }
870 
871             if (!BN_mul(r2, r1, pinfo->t, ctx)) {
872                 BN_free(pr2);
873                 goto err;
874             }
875 
876             BN_with_flags(pr2, r2, BN_FLG_CONSTTIME);
877 
878             if (!BN_mod(r1, pr2, pinfo->r, ctx)) {
879                 BN_free(pr2);
880                 goto err;
881             }
882 
883             if (BN_is_negative(r1))
884                 if (!BN_add(r1, r1, pinfo->r)) {
885                     BN_free(pr2);
886                     goto err;
887                 }
888             if (!BN_mul(r1, r1, pinfo->pp, ctx)) {
889                 BN_free(pr2);
890                 goto err;
891             }
892             if (!BN_add(r0, r0, r1)) {
893                 BN_free(pr2);
894                 goto err;
895             }
896         }
897         BN_free(pr2);
898     }
899 
900  tail:
901     if (rsa->e && rsa->n) {
902         if (rsa->meth->bn_mod_exp == BN_mod_exp_mont) {
903             if (!BN_mod_exp_mont(vrfy, r0, rsa->e, rsa->n, ctx,
904                                  rsa->_method_mod_n))
905                 goto err;
906         } else {
907             bn_correct_top(r0);
908             if (!rsa->meth->bn_mod_exp(vrfy, r0, rsa->e, rsa->n, ctx,
909                                        rsa->_method_mod_n))
910                 goto err;
911         }
912         /*
913          * If 'I' was greater than (or equal to) rsa->n, the operation will
914          * be equivalent to using 'I mod n'. However, the result of the
915          * verify will *always* be less than 'n' so we don't check for
916          * absolute equality, just congruency.
917          */
918         if (!BN_sub(vrfy, vrfy, I))
919             goto err;
920         if (BN_is_zero(vrfy)) {
921             bn_correct_top(r0);
922             ret = 1;
923             goto err;   /* not actually error */
924         }
925         if (!BN_mod(vrfy, vrfy, rsa->n, ctx))
926             goto err;
927         if (BN_is_negative(vrfy))
928             if (!BN_add(vrfy, vrfy, rsa->n))
929                 goto err;
930         if (!BN_is_zero(vrfy)) {
931             /*
932              * 'I' and 'vrfy' aren't congruent mod n. Don't leak
933              * miscalculated CRT output, just do a raw (slower) mod_exp and
934              * return that instead.
935              */
936 
937             BIGNUM *d = BN_new();
938             if (d == NULL)
939                 goto err;
940             BN_with_flags(d, rsa->d, BN_FLG_CONSTTIME);
941 
942             if (!rsa->meth->bn_mod_exp(r0, I, d, rsa->n, ctx,
943                                        rsa->_method_mod_n)) {
944                 BN_free(d);
945                 goto err;
946             }
947             /* We MUST free d before any further use of rsa->d */
948             BN_free(d);
949         }
950     }
951     /*
952      * It's unfortunate that we have to bn_correct_top(r0). What hopefully
953      * saves the day is that correction is highly unlike, and private key
954      * operations are customarily performed on blinded message. Which means
955      * that attacker won't observe correlation with chosen plaintext.
956      * Secondly, remaining code would still handle it in same computational
957      * time and even conceal memory access pattern around corrected top.
958      */
959     bn_correct_top(r0);
960     ret = 1;
961  err:
962     BN_CTX_end(ctx);
963     return ret;
964 }
965 
rsa_ossl_init(RSA * rsa)966 static int rsa_ossl_init(RSA *rsa)
967 {
968     rsa->flags |= RSA_FLAG_CACHE_PUBLIC | RSA_FLAG_CACHE_PRIVATE;
969     return 1;
970 }
971 
rsa_ossl_finish(RSA * rsa)972 static int rsa_ossl_finish(RSA *rsa)
973 {
974     int i;
975     RSA_PRIME_INFO *pinfo;
976 
977     BN_MONT_CTX_free(rsa->_method_mod_n);
978     BN_MONT_CTX_free(rsa->_method_mod_p);
979     BN_MONT_CTX_free(rsa->_method_mod_q);
980     for (i = 0; i < sk_RSA_PRIME_INFO_num(rsa->prime_infos); i++) {
981         pinfo = sk_RSA_PRIME_INFO_value(rsa->prime_infos, i);
982         BN_MONT_CTX_free(pinfo->m);
983     }
984     return 1;
985 }
986