128 # include <openssl/e_os2.h>
129 # ifndef OPENSSL_NO_FP_API
132 # include <openssl/ossl_typ.h>
133 # include <openssl/crypto.h>
151 # ifndef OPENSSL_SMALL_FOOTPRINT
152 # define BN_MUL_COMBA
153 # define BN_SQR_COMBA
154 # define BN_RECURSION
169 # if defined(OPENSSL_SYS_MSDOS) || defined(OPENSSL_SYS_WINDOWS) || \
170 defined(OPENSSL_SYS_WIN32) || defined(linux)
180 # ifdef SIXTY_FOUR_BIT_LONG
181 # define BN_ULLONG unsigned long long
182 # define BN_ULONG unsigned long
183 # define BN_LONG long
188 # define BN_MASK (0xffffffffffffffffffffffffffffffffLL)
189 # define BN_MASK2 (0xffffffffffffffffL)
190 # define BN_MASK2l (0xffffffffL)
191 # define BN_MASK2h (0xffffffff00000000L)
192 # define BN_MASK2h1 (0xffffffff80000000L)
193 # define BN_TBIT (0x8000000000000000L)
194 # define BN_DEC_CONV (10000000000000000000UL)
195 # define BN_DEC_FMT1 "%lu"
196 # define BN_DEC_FMT2 "%019lu"
197 # define BN_DEC_NUM 19
198 # define BN_HEX_FMT1 "%lX"
199 # define BN_HEX_FMT2 "%016lX"
208 # ifdef SIXTY_FOUR_BIT
211 # define BN_ULONG unsigned long long
212 # define BN_LONG long long
217 # define BN_MASK2 (0xffffffffffffffffLL)
218 # define BN_MASK2l (0xffffffffL)
219 # define BN_MASK2h (0xffffffff00000000LL)
220 # define BN_MASK2h1 (0xffffffff80000000LL)
221 # define BN_TBIT (0x8000000000000000LL)
222 # define BN_DEC_CONV (10000000000000000000ULL)
223 # define BN_DEC_FMT1 "%llu"
224 # define BN_DEC_FMT2 "%019llu"
225 # define BN_DEC_NUM 19
226 # define BN_HEX_FMT1 "%llX"
227 # define BN_HEX_FMT2 "%016llX"
230 # ifdef THIRTY_TWO_BIT
232 # if defined(_WIN32) && !defined(__GNUC__)
233 # define BN_ULLONG unsigned __int64
234 # define BN_MASK (0xffffffffffffffffI64)
236 # define BN_ULLONG unsigned long long
237 # define BN_MASK (0xffffffffffffffffLL)
240 # define BN_ULONG unsigned int
246 # define BN_MASK2 (0xffffffffL)
247 # define BN_MASK2l (0xffff)
248 # define BN_MASK2h1 (0xffff8000L)
249 # define BN_MASK2h (0xffff0000L)
250 # define BN_TBIT (0x80000000L)
251 # define BN_DEC_CONV (1000000000L)
252 # define BN_DEC_FMT1 "%u"
253 # define BN_DEC_FMT2 "%09u"
254 # define BN_DEC_NUM 9
255 # define BN_HEX_FMT1 "%X"
256 # define BN_HEX_FMT2 "%08X"
259 # define BN_DEFAULT_BITS 1280
261 # define BN_FLG_MALLOCED 0x01
262 # define BN_FLG_STATIC_DATA 0x02
270 # define BN_FLG_CONSTTIME 0x04
272 # ifdef OPENSSL_NO_DEPRECATED
274 # define BN_FLG_EXP_CONSTTIME BN_FLG_CONSTTIME
281 # ifndef OPENSSL_NO_DEPRECATED
282 # define BN_FLG_FREE 0x8000
285 # define BN_set_flags(b,n) ((b)->flags|=(n))
286 # define BN_get_flags(b,n) ((b)->flags&(n))
292 # define BN_with_flags(dest,b,n) ((dest)->d=(b)->d, \
293 (dest)->top=(b)->top, \
294 (dest)->dmax=(b)->dmax, \
295 (dest)->neg=(b)->neg, \
296 (dest)->flags=(((dest)->flags & BN_FLG_MALLOCED) \
297 | ((b)->flags & ~BN_FLG_MALLOCED) \
298 | BN_FLG_STATIC_DATA \
303 typedef struct bignum_st BIGNUM;
305 typedef struct bignum_ctx BN_CTX;
306 typedef struct bn_blinding_st BN_BLINDING;
307 typedef struct bn_mont_ctx_st BN_MONT_CTX;
308 typedef struct bn_recp_ctx_st BN_RECP_CTX;
309 typedef struct bn_gencb_st BN_GENCB;
323 struct bn_mont_ctx_st {
339 struct bn_recp_ctx_st {
353 void (*cb_1) (int, int,
void *);
355 int (*cb_2) (int, int, BN_GENCB *);
359 int BN_GENCB_call(BN_GENCB *cb,
int a,
int b);
361 # define BN_GENCB_set_old(gencb, callback, cb_arg) { \
362 BN_GENCB *tmp_gencb = (gencb); \
363 tmp_gencb->ver = 1; \
364 tmp_gencb->arg = (cb_arg); \
365 tmp_gencb->cb.cb_1 = (callback); }
367 # define BN_GENCB_set(gencb, callback, cb_arg) { \
368 BN_GENCB *tmp_gencb = (gencb); \
369 tmp_gencb->ver = 2; \
370 tmp_gencb->arg = (cb_arg); \
371 tmp_gencb->cb.cb_2 = (callback); }
373 # define BN_prime_checks 0
384 # define BN_prime_checks_for_size(b) ((b) >= 1300 ? 2 : \
397 # define BN_num_bytes(a) ((BN_num_bits(a)+7)/8)
400 # define BN_abs_is_word(a,w) ((((a)->top == 1) && ((a)->d[0] == (BN_ULONG)(w))) || \
401 (((w) == 0) && ((a)->top == 0)))
402 # define BN_is_zero(a) ((a)->top == 0)
403 # define BN_is_one(a) (BN_abs_is_word((a),1) && !(a)->neg)
404 # define BN_is_word(a,w) (BN_abs_is_word((a),(w)) && (!(w) || !(a)->neg))
405 # define BN_is_odd(a) (((a)->top > 0) && ((a)->d[0] & 1))
407 # define BN_one(a) (BN_set_word((a),1))
408 # define BN_zero_ex(a) \
410 BIGNUM *_tmp_bn = (a); \
414 # ifdef OPENSSL_NO_DEPRECATED
415 # define BN_zero(a) BN_zero_ex(a)
417 # define BN_zero(a) (BN_set_word((a),0))
420 const BIGNUM *BN_value_one(
void);
421 char *BN_options(
void);
422 BN_CTX *BN_CTX_new(
void);
423 # ifndef OPENSSL_NO_DEPRECATED
424 void BN_CTX_init(BN_CTX *c);
426 void BN_CTX_free(BN_CTX *c);
427 void BN_CTX_start(BN_CTX *ctx);
428 BIGNUM *BN_CTX_get(BN_CTX *ctx);
429 void BN_CTX_end(BN_CTX *ctx);
430 int BN_rand(BIGNUM *rnd,
int bits,
int top,
int bottom);
431 int BN_pseudo_rand(BIGNUM *rnd,
int bits,
int top,
int bottom);
432 int BN_rand_range(BIGNUM *rnd,
const BIGNUM *range);
433 int BN_pseudo_rand_range(BIGNUM *rnd,
const BIGNUM *range);
434 int BN_num_bits(
const BIGNUM *a);
435 int BN_num_bits_word(BN_ULONG);
436 BIGNUM *BN_new(
void);
437 void BN_init(BIGNUM *);
438 void BN_clear_free(BIGNUM *a);
439 BIGNUM *BN_copy(BIGNUM *a,
const BIGNUM *b);
440 void BN_swap(BIGNUM *a, BIGNUM *b);
441 BIGNUM *BN_bin2bn(
const unsigned char *s,
int len, BIGNUM *ret);
442 int BN_bn2bin(
const BIGNUM *a,
unsigned char *to);
443 BIGNUM *BN_mpi2bn(
const unsigned char *s,
int len, BIGNUM *ret);
444 int BN_bn2mpi(
const BIGNUM *a,
unsigned char *to);
445 int BN_sub(BIGNUM *r,
const BIGNUM *a,
const BIGNUM *b);
446 int BN_usub(BIGNUM *r,
const BIGNUM *a,
const BIGNUM *b);
447 int BN_uadd(BIGNUM *r,
const BIGNUM *a,
const BIGNUM *b);
448 int BN_add(BIGNUM *r,
const BIGNUM *a,
const BIGNUM *b);
449 int BN_mul(BIGNUM *r,
const BIGNUM *a,
const BIGNUM *b, BN_CTX *ctx);
450 int BN_sqr(BIGNUM *r,
const BIGNUM *a, BN_CTX *ctx);
455 void BN_set_negative(BIGNUM *b,
int n);
460 # define BN_is_negative(a) ((a)->neg != 0)
462 int BN_div(BIGNUM *dv, BIGNUM *rem,
const BIGNUM *m,
const BIGNUM *d,
464 # define BN_mod(rem,m,d,ctx) BN_div(NULL,(rem),(m),(d),(ctx))
465 int BN_nnmod(BIGNUM *r,
const BIGNUM *m,
const BIGNUM *d, BN_CTX *ctx);
466 int BN_mod_add(BIGNUM *r,
const BIGNUM *a,
const BIGNUM *b,
const BIGNUM *m,
468 int BN_mod_add_quick(BIGNUM *r,
const BIGNUM *a,
const BIGNUM *b,
470 int BN_mod_sub(BIGNUM *r,
const BIGNUM *a,
const BIGNUM *b,
const BIGNUM *m,
472 int BN_mod_sub_quick(BIGNUM *r,
const BIGNUM *a,
const BIGNUM *b,
474 int BN_mod_mul(BIGNUM *r,
const BIGNUM *a,
const BIGNUM *b,
const BIGNUM *m,
476 int BN_mod_sqr(BIGNUM *r,
const BIGNUM *a,
const BIGNUM *m, BN_CTX *ctx);
477 int BN_mod_lshift1(BIGNUM *r,
const BIGNUM *a,
const BIGNUM *m, BN_CTX *ctx);
478 int BN_mod_lshift1_quick(BIGNUM *r,
const BIGNUM *a,
const BIGNUM *m);
479 int BN_mod_lshift(BIGNUM *r,
const BIGNUM *a,
int n,
const BIGNUM *m,
481 int BN_mod_lshift_quick(BIGNUM *r,
const BIGNUM *a,
int n,
const BIGNUM *m);
483 BN_ULONG BN_mod_word(
const BIGNUM *a, BN_ULONG w);
484 BN_ULONG BN_div_word(BIGNUM *a, BN_ULONG w);
485 int BN_mul_word(BIGNUM *a, BN_ULONG w);
486 int BN_add_word(BIGNUM *a, BN_ULONG w);
487 int BN_sub_word(BIGNUM *a, BN_ULONG w);
488 int BN_set_word(BIGNUM *a, BN_ULONG w);
489 BN_ULONG BN_get_word(
const BIGNUM *a);
491 int BN_cmp(
const BIGNUM *a,
const BIGNUM *b);
492 void BN_free(BIGNUM *a);
493 int BN_is_bit_set(
const BIGNUM *a,
int n);
494 int BN_lshift(BIGNUM *r,
const BIGNUM *a,
int n);
495 int BN_lshift1(BIGNUM *r,
const BIGNUM *a);
496 int BN_exp(BIGNUM *r,
const BIGNUM *a,
const BIGNUM *p, BN_CTX *ctx);
498 int BN_mod_exp(BIGNUM *r,
const BIGNUM *a,
const BIGNUM *p,
499 const BIGNUM *m, BN_CTX *ctx);
500 int BN_mod_exp_mont(BIGNUM *r,
const BIGNUM *a,
const BIGNUM *p,
501 const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx);
502 int BN_mod_exp_mont_consttime(BIGNUM *rr,
const BIGNUM *a,
const BIGNUM *p,
503 const BIGNUM *m, BN_CTX *ctx,
504 BN_MONT_CTX *in_mont);
505 int BN_mod_exp_mont_word(BIGNUM *r, BN_ULONG a,
const BIGNUM *p,
506 const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx);
507 int BN_mod_exp2_mont(BIGNUM *r,
const BIGNUM *a1,
const BIGNUM *p1,
508 const BIGNUM *a2,
const BIGNUM *p2,
const BIGNUM *m,
509 BN_CTX *ctx, BN_MONT_CTX *m_ctx);
510 int BN_mod_exp_simple(BIGNUM *r,
const BIGNUM *a,
const BIGNUM *p,
511 const BIGNUM *m, BN_CTX *ctx);
513 int BN_mask_bits(BIGNUM *a,
int n);
514 # ifndef OPENSSL_NO_FP_API
515 int BN_print_fp(FILE *fp,
const BIGNUM *a);
518 int BN_print(BIO *fp,
const BIGNUM *a);
520 int BN_print(
void *fp,
const BIGNUM *a);
522 int BN_reciprocal(BIGNUM *r,
const BIGNUM *m,
int len, BN_CTX *ctx);
523 int BN_rshift(BIGNUM *r,
const BIGNUM *a,
int n);
524 int BN_rshift1(BIGNUM *r,
const BIGNUM *a);
525 void BN_clear(BIGNUM *a);
526 BIGNUM *BN_dup(
const BIGNUM *a);
527 int BN_ucmp(
const BIGNUM *a,
const BIGNUM *b);
528 int BN_set_bit(BIGNUM *a,
int n);
529 int BN_clear_bit(BIGNUM *a,
int n);
530 char *BN_bn2hex(
const BIGNUM *a);
531 char *BN_bn2dec(
const BIGNUM *a);
532 int BN_hex2bn(BIGNUM **a,
const char *str);
533 int BN_dec2bn(BIGNUM **a,
const char *str);
534 int BN_asc2bn(BIGNUM **a,
const char *str);
535 int BN_gcd(BIGNUM *r,
const BIGNUM *a,
const BIGNUM *b, BN_CTX *ctx);
536 int BN_kronecker(
const BIGNUM *a,
const BIGNUM *b, BN_CTX *ctx);
539 BIGNUM *BN_mod_inverse(BIGNUM *ret,
540 const BIGNUM *a,
const BIGNUM *n, BN_CTX *ctx);
541 BIGNUM *BN_mod_sqrt(BIGNUM *ret,
542 const BIGNUM *a,
const BIGNUM *n, BN_CTX *ctx);
544 void BN_consttime_swap(BN_ULONG swap, BIGNUM *a, BIGNUM *b,
int nwords);
547 # ifndef OPENSSL_NO_DEPRECATED
548 BIGNUM *BN_generate_prime(BIGNUM *ret,
int bits,
int safe,
549 const BIGNUM *add,
const BIGNUM *rem,
550 void (*callback) (
int,
int,
void *),
void *cb_arg);
551 int BN_is_prime(
const BIGNUM *p,
int nchecks,
552 void (*callback) (
int,
int,
void *),
553 BN_CTX *ctx,
void *cb_arg);
554 int BN_is_prime_fasttest(
const BIGNUM *p,
int nchecks,
555 void (*callback) (
int,
int,
void *), BN_CTX *ctx,
556 void *cb_arg,
int do_trial_division);
560 int BN_generate_prime_ex(BIGNUM *ret,
int bits,
int safe,
const BIGNUM *add,
561 const BIGNUM *rem, BN_GENCB *cb);
562 int BN_is_prime_ex(
const BIGNUM *p,
int nchecks, BN_CTX *ctx, BN_GENCB *cb);
563 int BN_is_prime_fasttest_ex(
const BIGNUM *p,
int nchecks, BN_CTX *ctx,
564 int do_trial_division, BN_GENCB *cb);
566 int BN_X931_generate_Xpq(BIGNUM *Xp, BIGNUM *Xq,
int nbits, BN_CTX *ctx);
568 int BN_X931_derive_prime_ex(BIGNUM *p, BIGNUM *p1, BIGNUM *p2,
569 const BIGNUM *Xp,
const BIGNUM *Xp1,
570 const BIGNUM *Xp2,
const BIGNUM *e, BN_CTX *ctx,
572 int BN_X931_generate_prime_ex(BIGNUM *p, BIGNUM *p1, BIGNUM *p2, BIGNUM *Xp1,
573 BIGNUM *Xp2,
const BIGNUM *Xp,
const BIGNUM *e,
574 BN_CTX *ctx, BN_GENCB *cb);
576 BN_MONT_CTX *BN_MONT_CTX_new(
void);
577 void BN_MONT_CTX_init(BN_MONT_CTX *ctx);
578 int BN_mod_mul_montgomery(BIGNUM *r,
const BIGNUM *a,
const BIGNUM *b,
579 BN_MONT_CTX *mont, BN_CTX *ctx);
580 # define BN_to_montgomery(r,a,mont,ctx) BN_mod_mul_montgomery(\
581 (r),(a),&((mont)->RR),(mont),(ctx))
582 int BN_from_montgomery(BIGNUM *r,
const BIGNUM *a,
583 BN_MONT_CTX *mont, BN_CTX *ctx);
584 void BN_MONT_CTX_free(BN_MONT_CTX *mont);
585 int BN_MONT_CTX_set(BN_MONT_CTX *mont,
const BIGNUM *mod, BN_CTX *ctx);
586 BN_MONT_CTX *BN_MONT_CTX_copy(BN_MONT_CTX *to, BN_MONT_CTX *from);
587 BN_MONT_CTX *BN_MONT_CTX_set_locked(BN_MONT_CTX **pmont,
int lock,
588 const BIGNUM *mod, BN_CTX *ctx);
591 # define BN_BLINDING_NO_UPDATE 0x00000001
592 # define BN_BLINDING_NO_RECREATE 0x00000002
594 BN_BLINDING *BN_BLINDING_new(
const BIGNUM *A,
const BIGNUM *Ai, BIGNUM *mod);
595 void BN_BLINDING_free(BN_BLINDING *b);
596 int BN_BLINDING_update(BN_BLINDING *b, BN_CTX *ctx);
597 int BN_BLINDING_convert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx);
598 int BN_BLINDING_invert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx);
599 int BN_BLINDING_convert_ex(BIGNUM *n, BIGNUM *r, BN_BLINDING *b, BN_CTX *);
600 int BN_BLINDING_invert_ex(BIGNUM *n,
const BIGNUM *r, BN_BLINDING *b,
602 # ifndef OPENSSL_NO_DEPRECATED
603 unsigned long BN_BLINDING_get_thread_id(
const BN_BLINDING *);
604 void BN_BLINDING_set_thread_id(BN_BLINDING *,
unsigned long);
606 CRYPTO_THREADID *BN_BLINDING_thread_id(BN_BLINDING *);
607 unsigned long BN_BLINDING_get_flags(
const BN_BLINDING *);
608 void BN_BLINDING_set_flags(BN_BLINDING *,
unsigned long);
609 BN_BLINDING *BN_BLINDING_create_param(BN_BLINDING *b,
610 const BIGNUM *e, BIGNUM *m, BN_CTX *ctx,
611 int (*bn_mod_exp) (BIGNUM *r,
619 # ifndef OPENSSL_NO_DEPRECATED
620 void BN_set_params(
int mul,
int high,
int low,
int mont);
621 int BN_get_params(
int which);
624 void BN_RECP_CTX_init(BN_RECP_CTX *recp);
625 BN_RECP_CTX *BN_RECP_CTX_new(
void);
626 void BN_RECP_CTX_free(BN_RECP_CTX *recp);
627 int BN_RECP_CTX_set(BN_RECP_CTX *recp,
const BIGNUM *rdiv, BN_CTX *ctx);
628 int BN_mod_mul_reciprocal(BIGNUM *r,
const BIGNUM *x,
const BIGNUM *y,
629 BN_RECP_CTX *recp, BN_CTX *ctx);
630 int BN_mod_exp_recp(BIGNUM *r,
const BIGNUM *a,
const BIGNUM *p,
631 const BIGNUM *m, BN_CTX *ctx);
632 int BN_div_recp(BIGNUM *dv, BIGNUM *rem,
const BIGNUM *m,
633 BN_RECP_CTX *recp, BN_CTX *ctx);
635 # ifndef OPENSSL_NO_EC2M
647 int BN_GF2m_add(BIGNUM *r,
const BIGNUM *a,
const BIGNUM *b);
648 # define BN_GF2m_sub(r, a, b) BN_GF2m_add(r, a, b)
652 int BN_GF2m_mod(BIGNUM *r,
const BIGNUM *a,
const BIGNUM *p);
654 int BN_GF2m_mod_mul(BIGNUM *r,
const BIGNUM *a,
const BIGNUM *b,
655 const BIGNUM *p, BN_CTX *ctx);
657 int BN_GF2m_mod_sqr(BIGNUM *r,
const BIGNUM *a,
const BIGNUM *p, BN_CTX *ctx);
659 int BN_GF2m_mod_inv(BIGNUM *r,
const BIGNUM *b,
const BIGNUM *p, BN_CTX *ctx);
661 int BN_GF2m_mod_div(BIGNUM *r,
const BIGNUM *a,
const BIGNUM *b,
662 const BIGNUM *p, BN_CTX *ctx);
664 int BN_GF2m_mod_exp(BIGNUM *r,
const BIGNUM *a,
const BIGNUM *b,
665 const BIGNUM *p, BN_CTX *ctx);
667 int BN_GF2m_mod_sqrt(BIGNUM *r,
const BIGNUM *a,
const BIGNUM *p,
670 int BN_GF2m_mod_solve_quad(BIGNUM *r,
const BIGNUM *a,
const BIGNUM *p,
672 # define BN_GF2m_cmp(a, b) BN_ucmp((a), (b))
680 int BN_GF2m_mod_arr(BIGNUM *r,
const BIGNUM *a,
const int p[]);
682 int BN_GF2m_mod_mul_arr(BIGNUM *r,
const BIGNUM *a,
const BIGNUM *b,
683 const int p[], BN_CTX *ctx);
685 int BN_GF2m_mod_sqr_arr(BIGNUM *r,
const BIGNUM *a,
const int p[],
688 int BN_GF2m_mod_inv_arr(BIGNUM *r,
const BIGNUM *b,
const int p[],
691 int BN_GF2m_mod_div_arr(BIGNUM *r,
const BIGNUM *a,
const BIGNUM *b,
692 const int p[], BN_CTX *ctx);
694 int BN_GF2m_mod_exp_arr(BIGNUM *r,
const BIGNUM *a,
const BIGNUM *b,
695 const int p[], BN_CTX *ctx);
697 int BN_GF2m_mod_sqrt_arr(BIGNUM *r,
const BIGNUM *a,
698 const int p[], BN_CTX *ctx);
700 int BN_GF2m_mod_solve_quad_arr(BIGNUM *r,
const BIGNUM *a,
701 const int p[], BN_CTX *ctx);
702 int BN_GF2m_poly2arr(
const BIGNUM *a,
int p[],
int max);
703 int BN_GF2m_arr2poly(
const int p[], BIGNUM *a);
710 int BN_nist_mod_192(BIGNUM *r,
const BIGNUM *a,
const BIGNUM *p, BN_CTX *ctx);
711 int BN_nist_mod_224(BIGNUM *r,
const BIGNUM *a,
const BIGNUM *p, BN_CTX *ctx);
712 int BN_nist_mod_256(BIGNUM *r,
const BIGNUM *a,
const BIGNUM *p, BN_CTX *ctx);
713 int BN_nist_mod_384(BIGNUM *r,
const BIGNUM *a,
const BIGNUM *p, BN_CTX *ctx);
714 int BN_nist_mod_521(BIGNUM *r,
const BIGNUM *a,
const BIGNUM *p, BN_CTX *ctx);
716 const BIGNUM *BN_get0_nist_prime_192(
void);
717 const BIGNUM *BN_get0_nist_prime_224(
void);
718 const BIGNUM *BN_get0_nist_prime_256(
void);
719 const BIGNUM *BN_get0_nist_prime_384(
void);
720 const BIGNUM *BN_get0_nist_prime_521(
void);
724 # define bn_expand(a,bits) ((((((bits+BN_BITS2-1))/BN_BITS2)) <= (a)->dmax)?\
725 (a):bn_expand2((a),(bits+BN_BITS2-1)/BN_BITS2))
726 # define bn_wexpand(a,words) (((words) <= (a)->dmax)?(a):bn_expand2((a),(words)))
727 BIGNUM *bn_expand2(BIGNUM *a,
int words);
728 # ifndef OPENSSL_NO_DEPRECATED
729 BIGNUM *bn_dup_expand(
const BIGNUM *a,
int words);
766 # ifdef BN_DEBUG_RAND
768 # ifndef RAND_pseudo_bytes
769 int RAND_pseudo_bytes(
unsigned char *buf,
int num);
770 # define BN_DEBUG_TRIX
772 # define bn_pollute(a) \
774 const BIGNUM *_bnum1 = (a); \
775 if(_bnum1->top < _bnum1->dmax) { \
776 unsigned char _tmp_char; \
780 BN_ULONG *_not_const; \
781 memcpy(&_not_const, &_bnum1->d, sizeof(BN_ULONG*)); \
783 RAND_pseudo_bytes(&_tmp_char, 1); \
784 memset((unsigned char *)(_not_const + _bnum1->top), _tmp_char, \
785 (_bnum1->dmax - _bnum1->top) * sizeof(BN_ULONG)); \
788 # ifdef BN_DEBUG_TRIX
789 # undef RAND_pseudo_bytes
792 # define bn_pollute(a)
794 # define bn_check_top(a) \
796 const BIGNUM *_bnum2 = (a); \
797 if (_bnum2 != NULL) { \
798 assert((_bnum2->top == 0) || \
799 (_bnum2->d[_bnum2->top - 1] != 0)); \
800 bn_pollute(_bnum2); \
804 # define bn_fix_top(a) bn_check_top(a)
806 # define bn_check_size(bn, bits) bn_wcheck_size(bn, ((bits+BN_BITS2-1))/BN_BITS2)
807 # define bn_wcheck_size(bn, words) \
809 const BIGNUM *_bnum2 = (bn); \
810 assert((words) <= (_bnum2)->dmax && (words) >= (_bnum2)->top); \
817 # define bn_pollute(a)
818 # define bn_check_top(a)
819 # define bn_fix_top(a) bn_correct_top(a)
820 # define bn_check_size(bn, bits)
821 # define bn_wcheck_size(bn, words)
825 # define bn_correct_top(a) \
828 int tmp_top = (a)->top; \
831 for (ftl= &((a)->d[tmp_top-1]); tmp_top > 0; tmp_top--) \
832 if (*(ftl--)) break; \
833 (a)->top = tmp_top; \
838 BN_ULONG bn_mul_add_words(BN_ULONG *rp,
const BN_ULONG *ap,
int num,
840 BN_ULONG bn_mul_words(BN_ULONG *rp,
const BN_ULONG *ap,
int num, BN_ULONG w);
841 void bn_sqr_words(BN_ULONG *rp,
const BN_ULONG *ap,
int num);
842 BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d);
843 BN_ULONG bn_add_words(BN_ULONG *rp,
const BN_ULONG *ap,
const BN_ULONG *bp,
845 BN_ULONG bn_sub_words(BN_ULONG *rp,
const BN_ULONG *ap,
const BN_ULONG *bp,
849 BIGNUM *get_rfc2409_prime_768(BIGNUM *bn);
850 BIGNUM *get_rfc2409_prime_1024(BIGNUM *bn);
853 BIGNUM *get_rfc3526_prime_1536(BIGNUM *bn);
854 BIGNUM *get_rfc3526_prime_2048(BIGNUM *bn);
855 BIGNUM *get_rfc3526_prime_3072(BIGNUM *bn);
856 BIGNUM *get_rfc3526_prime_4096(BIGNUM *bn);
857 BIGNUM *get_rfc3526_prime_6144(BIGNUM *bn);
858 BIGNUM *get_rfc3526_prime_8192(BIGNUM *bn);
860 int BN_bntest_rand(BIGNUM *rnd,
int bits,
int top,
int bottom);
867 void ERR_load_BN_strings(
void);
872 # define BN_F_BNRAND 127
873 # define BN_F_BN_BLINDING_CONVERT_EX 100
874 # define BN_F_BN_BLINDING_CREATE_PARAM 128
875 # define BN_F_BN_BLINDING_INVERT_EX 101
876 # define BN_F_BN_BLINDING_NEW 102
877 # define BN_F_BN_BLINDING_UPDATE 103
878 # define BN_F_BN_BN2DEC 104
879 # define BN_F_BN_BN2HEX 105
880 # define BN_F_BN_CTX_GET 116
881 # define BN_F_BN_CTX_NEW 106
882 # define BN_F_BN_CTX_START 129
883 # define BN_F_BN_DIV 107
884 # define BN_F_BN_DIV_NO_BRANCH 138
885 # define BN_F_BN_DIV_RECP 130
886 # define BN_F_BN_EXP 123
887 # define BN_F_BN_EXPAND2 108
888 # define BN_F_BN_EXPAND_INTERNAL 120
889 # define BN_F_BN_GF2M_MOD 131
890 # define BN_F_BN_GF2M_MOD_EXP 132
891 # define BN_F_BN_GF2M_MOD_MUL 133
892 # define BN_F_BN_GF2M_MOD_SOLVE_QUAD 134
893 # define BN_F_BN_GF2M_MOD_SOLVE_QUAD_ARR 135
894 # define BN_F_BN_GF2M_MOD_SQR 136
895 # define BN_F_BN_GF2M_MOD_SQRT 137
896 # define BN_F_BN_LSHIFT 145
897 # define BN_F_BN_MOD_EXP2_MONT 118
898 # define BN_F_BN_MOD_EXP_MONT 109
899 # define BN_F_BN_MOD_EXP_MONT_CONSTTIME 124
900 # define BN_F_BN_MOD_EXP_MONT_WORD 117
901 # define BN_F_BN_MOD_EXP_RECP 125
902 # define BN_F_BN_MOD_EXP_SIMPLE 126
903 # define BN_F_BN_MOD_INVERSE 110
904 # define BN_F_BN_MOD_INVERSE_NO_BRANCH 139
905 # define BN_F_BN_MOD_LSHIFT_QUICK 119
906 # define BN_F_BN_MOD_MUL_RECIPROCAL 111
907 # define BN_F_BN_MOD_SQRT 121
908 # define BN_F_BN_MPI2BN 112
909 # define BN_F_BN_NEW 113
910 # define BN_F_BN_RAND 114
911 # define BN_F_BN_RAND_RANGE 122
912 # define BN_F_BN_RSHIFT 146
913 # define BN_F_BN_USUB 115
916 # define BN_R_ARG2_LT_ARG3 100
917 # define BN_R_BAD_RECIPROCAL 101
918 # define BN_R_BIGNUM_TOO_LONG 114
919 # define BN_R_BITS_TOO_SMALL 118
920 # define BN_R_CALLED_WITH_EVEN_MODULUS 102
921 # define BN_R_DIV_BY_ZERO 103
922 # define BN_R_ENCODING_ERROR 104
923 # define BN_R_EXPAND_ON_STATIC_BIGNUM_DATA 105
924 # define BN_R_INPUT_NOT_REDUCED 110
925 # define BN_R_INVALID_LENGTH 106
926 # define BN_R_INVALID_RANGE 115
927 # define BN_R_INVALID_SHIFT 119
928 # define BN_R_NOT_A_SQUARE 111
929 # define BN_R_NOT_INITIALIZED 107
930 # define BN_R_NO_INVERSE 108
931 # define BN_R_NO_SOLUTION 116
932 # define BN_R_P_IS_NOT_PRIME 112
933 # define BN_R_TOO_MANY_ITERATIONS 113
934 # define BN_R_TOO_MANY_TEMPORARY_VARIABLES 109