]>
git.ipfire.org Git - thirdparty/openssl.git/blob - crypto/bn/bn.h
2 /* Copyright (C) 1995-1997 Eric Young (eay@cryptsoft.com)
5 * This package is an SSL implementation written
6 * by Eric Young (eay@cryptsoft.com).
7 * The implementation was written so as to conform with Netscapes SSL.
9 * This library is free for commercial and non-commercial use as long as
10 * the following conditions are aheared to. The following conditions
11 * apply to all code found in this distribution, be it the RC4, RSA,
12 * lhash, DES, etc., code; not just the SSL code. The SSL documentation
13 * included with this distribution is covered by the same copyright terms
14 * except that the holder is Tim Hudson (tjh@cryptsoft.com).
16 * Copyright remains Eric Young's, and as such any Copyright notices in
17 * the code are not to be removed.
18 * If this package is used in a product, Eric Young should be given attribution
19 * as the author of the parts of the library used.
20 * This can be in the form of a textual message at program startup or
21 * in documentation (online or textual) provided with the package.
23 * Redistribution and use in source and binary forms, with or without
24 * modification, are permitted provided that the following conditions
26 * 1. Redistributions of source code must retain the copyright
27 * notice, this list of conditions and the following disclaimer.
28 * 2. Redistributions in binary form must reproduce the above copyright
29 * notice, this list of conditions and the following disclaimer in the
30 * documentation and/or other materials provided with the distribution.
31 * 3. All advertising materials mentioning features or use of this software
32 * must display the following acknowledgement:
33 * "This product includes cryptographic software written by
34 * Eric Young (eay@cryptsoft.com)"
35 * The word 'cryptographic' can be left out if the rouines from the library
36 * being used are not cryptographic related :-).
37 * 4. If you include any Windows specific code (or a derivative thereof) from
38 * the apps directory (application code) you must include an acknowledgement:
39 * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
41 * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
42 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
43 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
44 * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
45 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
46 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
47 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
48 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
49 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
50 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
53 * The licence and distribution terms for any publically available version or
54 * derivative of this code cannot be changed. i.e. this code cannot simply be
55 * copied and put under another distribution licence
56 * [including the GNU Public Licence.]
58 /* ====================================================================
59 * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
61 * Portions of the attached software ("Contribution") are developed by
62 * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
64 * The Contribution is licensed pursuant to the Eric Young open source
65 * license provided above.
67 * The binary polynomial arithmetic software is originally written by
68 * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
75 #include <openssl/e_os2.h>
76 #ifndef OPENSSL_NO_FP_API
77 #include <stdio.h> /* FILE */
84 #ifdef OPENSSL_SYS_VMS
85 #undef BN_LLONG /* experimental, so far... */
92 /* This next option uses the C libraries (2 word)/(1 word) function.
93 * If it is not defined, I use my C version (which is slower).
94 * The reason for this flag is that when the particular C compiler
95 * library routine is used, and the library is linked with a different
96 * compiler, the library is missing. This mostly happens when the
97 * library is built with gcc and then linked using normal cc. This would
98 * be a common occurrence because gcc normally produces code that is
99 * 2 times faster than system compilers for the big number stuff.
100 * For machines with only one compiler (or shared libraries), this should
101 * be on. Again this in only really a problem on machines
102 * using "long long's", are 32bit, and are not using my assembler code. */
103 #if defined(OPENSSL_SYS_MSDOS) || defined(OPENSSL_SYS_WINDOWS) || \
104 defined(OPENSSL_SYS_WIN32) || defined(linux)
110 /* assuming long is 64bit - this is the DEC Alpha
111 * unsigned long long is only 64 bits :-(, don't define
112 * BN_LLONG for the DEC Alpha */
113 #ifdef SIXTY_FOUR_BIT_LONG
114 #define BN_ULLONG unsigned long long
115 #define BN_ULONG unsigned long
121 #define BN_MASK (0xffffffffffffffffffffffffffffffffLL)
122 #define BN_MASK2 (0xffffffffffffffffL)
123 #define BN_MASK2l (0xffffffffL)
124 #define BN_MASK2h (0xffffffff00000000L)
125 #define BN_MASK2h1 (0xffffffff80000000L)
126 #define BN_TBIT (0x8000000000000000L)
127 #define BN_DEC_CONV (10000000000000000000UL)
128 #define BN_DEC_FMT1 "%lu"
129 #define BN_DEC_FMT2 "%019lu"
130 #define BN_DEC_NUM 19
133 /* This is where the long long data type is 64 bits, but long is 32.
134 * For machines where there are 64bit registers, this is the mode to use.
135 * IRIX, on R4000 and above should use this mode, along with the relevant
136 * assembler code :-). Do NOT define BN_LLONG.
138 #ifdef SIXTY_FOUR_BIT
141 #define BN_ULONG unsigned long long
142 #define BN_LONG long long
147 #define BN_MASK2 (0xffffffffffffffffLL)
148 #define BN_MASK2l (0xffffffffL)
149 #define BN_MASK2h (0xffffffff00000000LL)
150 #define BN_MASK2h1 (0xffffffff80000000LL)
151 #define BN_TBIT (0x8000000000000000LL)
152 #define BN_DEC_CONV (10000000000000000000ULL)
153 #define BN_DEC_FMT1 "%llu"
154 #define BN_DEC_FMT2 "%019llu"
155 #define BN_DEC_NUM 19
158 #ifdef THIRTY_TWO_BIT
159 #if defined(OPENSSL_SYS_WIN32) && !defined(__GNUC__)
160 #define BN_ULLONG unsigned _int64
162 #define BN_ULLONG unsigned long long
164 #define BN_ULONG unsigned long
170 #ifdef OPENSSL_SYS_WIN32
171 /* VC++ doesn't like the LL suffix */
172 #define BN_MASK (0xffffffffffffffffL)
174 #define BN_MASK (0xffffffffffffffffLL)
176 #define BN_MASK2 (0xffffffffL)
177 #define BN_MASK2l (0xffff)
178 #define BN_MASK2h1 (0xffff8000L)
179 #define BN_MASK2h (0xffff0000L)
180 #define BN_TBIT (0x80000000L)
181 #define BN_DEC_CONV (1000000000L)
182 #define BN_DEC_FMT1 "%lu"
183 #define BN_DEC_FMT2 "%09lu"
191 #define BN_ULLONG unsigned long
192 #define BN_ULONG unsigned short
193 #define BN_LONG short
198 #define BN_MASK (0xffffffff)
199 #define BN_MASK2 (0xffff)
200 #define BN_MASK2l (0xff)
201 #define BN_MASK2h1 (0xff80)
202 #define BN_MASK2h (0xff00)
203 #define BN_TBIT (0x8000)
204 #define BN_DEC_CONV (100000)
205 #define BN_DEC_FMT1 "%u"
206 #define BN_DEC_FMT2 "%05u"
214 #define BN_ULLONG unsigned short
215 #define BN_ULONG unsigned char
221 #define BN_MASK (0xffff)
222 #define BN_MASK2 (0xff)
223 #define BN_MASK2l (0xf)
224 #define BN_MASK2h1 (0xf8)
225 #define BN_MASK2h (0xf0)
226 #define BN_TBIT (0x80)
227 #define BN_DEC_CONV (100)
228 #define BN_DEC_FMT1 "%u"
229 #define BN_DEC_FMT2 "%02u"
233 #define BN_DEFAULT_BITS 1280
239 #define BN_FLG_MALLOCED 0x01
240 #define BN_FLG_STATIC_DATA 0x02
241 #define BN_FLG_FREE 0x8000 /* used for debuging */
242 #define BN_set_flags(b,n) ((b)->flags|=(n))
243 #define BN_get_flags(b,n) ((b)->flags&(n))
245 typedef struct bignum_st
247 BN_ULONG
*d
; /* Pointer to an array of 'BN_BITS2' bit chunks. */
248 int top
; /* Index of last used d +1. */
249 /* The next are internal book keeping for bn_expand. */
250 int dmax
; /* Size of the d array. */
251 int neg
; /* one if the number is negative */
255 /* Declaring static BIGNUMs as constant is tricky in C; the 'd' data can't be
256 * pre-declared const without having to cast away the const when declaring the
257 * BIGNUM. We use this alternative type for declaring const BIGNUMs. See
258 * bn_nist.c for examples. */
259 typedef struct bignum_c_st
268 /* Use a function to do this so that we can type-check the pointer we're
270 const BIGNUM
*BIGNUM_CONST(const BIGNUM_C
*bn
);
272 /* Use a macro instead */
273 #define BIGNUM_CONST(bn) ((const BIGNUM *)bn)
276 /* Used for temp variables (declaration hidden in bn_lcl.h) */
277 typedef struct bignum_ctx BN_CTX
;
279 typedef struct bn_blinding_st
284 BIGNUM
*mod
; /* just a reference */
285 unsigned long thread_id
; /* added in OpenSSL 0.9.6j and 0.9.7b;
286 * used only by crypto/rsa/rsa_eay.c, rsa_lib.c */
289 /* Used for montgomery multiplication */
290 typedef struct bn_mont_ctx_st
292 int ri
; /* number of bits in R */
293 BIGNUM RR
; /* used to convert to montgomery form */
294 BIGNUM N
; /* The modulus */
295 BIGNUM Ni
; /* R*(1/R mod N) - N*Ni = 1
296 * (Ni is only stored for bignum algorithm) */
297 BN_ULONG n0
; /* least significant word of Ni */
301 /* Used for reciprocal division/mod functions
302 * It cannot be shared between threads
304 typedef struct bn_recp_ctx_st
306 BIGNUM N
; /* the divisor */
307 BIGNUM Nr
; /* the reciprocal */
313 /* Used for slow "generation" functions. */
314 typedef struct bn_gencb_st BN_GENCB
;
317 unsigned int ver
; /* To handle binary (in)compatibility */
318 void *arg
; /* callback-specific data */
321 /* if(ver==1) - handles old style callbacks */
322 void (*cb_1
)(int, int, void *);
323 /* if(ver==2) - new callback style */
324 int (*cb_2
)(int, int, BN_GENCB
*);
327 /* Wrapper function to make using BN_GENCB easier, */
328 int BN_GENCB_call(BN_GENCB
*cb
, int a
, int b
);
329 /* Macro to populate a BN_GENCB structure with an "old"-style callback */
330 #define BN_GENCB_set_old(gencb, callback, cb_arg) { \
331 BN_GENCB *tmp_gencb = (gencb); \
332 tmp_gencb->ver = 1; \
333 tmp_gencb->arg = (cb_arg); \
334 tmp_gencb->cb.cb_1 = (callback); }
335 /* Macro to populate a BN_GENCB structure with a "new"-style callback */
336 #define BN_GENCB_set(gencb, callback, cb_arg) { \
337 BN_GENCB *tmp_gencb = (gencb); \
338 tmp_gencb->ver = 2; \
339 tmp_gencb->arg = (cb_arg); \
340 tmp_gencb->cb.cb_2 = (callback); }
342 #define BN_prime_checks 0 /* default: select number of iterations
343 based on the size of the number */
345 /* number of Miller-Rabin iterations for an error rate of less than 2^-80
346 * for random 'b'-bit input, b >= 100 (taken from table 4.4 in the Handbook
347 * of Applied Cryptography [Menezes, van Oorschot, Vanstone; CRC Press 1996];
348 * original paper: Damgaard, Landrock, Pomerance: Average case error estimates
349 * for the strong probable prime test. -- Math. Comp. 61 (1993) 177-194) */
350 #define BN_prime_checks_for_size(b) ((b) >= 1300 ? 2 : \
363 #define BN_num_bytes(a) ((BN_num_bits(a)+7)/8)
365 /* Note that BN_abs_is_word does not work reliably for w == 0 */
366 #define BN_abs_is_word(a,w) (((a)->top == 1) && ((a)->d[0] == (BN_ULONG)(w)))
367 #define BN_is_zero(a) (((a)->top == 0) || BN_abs_is_word(a,0))
368 #define BN_is_one(a) (BN_abs_is_word((a),1) && !(a)->neg)
369 #define BN_is_word(a,w) ((w) ? BN_abs_is_word((a),(w)) && !(a)->neg : \
371 #define BN_is_odd(a) (((a)->top > 0) && ((a)->d[0] & 1))
373 #define BN_one(a) (BN_set_word((a),1))
374 #define BN_zero(a) (BN_set_word((a),0))
375 /* BN_set_sign(BIGNUM *, int) sets the sign of a BIGNUM
376 * (0 for a non-negative value, 1 for negative) */
377 #define BN_set_sign(a,b) ((a)->neg = (b))
378 /* BN_get_sign(BIGNUM *) returns the sign of the BIGNUM */
379 #define BN_get_sign(a) ((a)->neg)
381 /*#define BN_ascii2bn(a) BN_hex2bn(a) */
382 /*#define BN_bn2ascii(a) BN_bn2hex(a) */
384 const BIGNUM
*BN_value_one(void);
385 char * BN_options(void);
386 BN_CTX
*BN_CTX_new(void);
387 #ifndef OPENSSL_NO_DEPRECATED
388 void BN_CTX_init(BN_CTX
*c
);
390 void BN_CTX_free(BN_CTX
*c
);
391 void BN_CTX_start(BN_CTX
*ctx
);
392 BIGNUM
*BN_CTX_get(BN_CTX
*ctx
);
393 void BN_CTX_end(BN_CTX
*ctx
);
394 int BN_rand(BIGNUM
*rnd
, int bits
, int top
,int bottom
);
395 int BN_pseudo_rand(BIGNUM
*rnd
, int bits
, int top
,int bottom
);
396 int BN_rand_range(BIGNUM
*rnd
, BIGNUM
*range
);
397 int BN_pseudo_rand_range(BIGNUM
*rnd
, BIGNUM
*range
);
398 int BN_num_bits(const BIGNUM
*a
);
399 int BN_num_bits_word(BN_ULONG
);
400 BIGNUM
*BN_new(void);
401 void BN_init(BIGNUM
*);
402 void BN_clear_free(BIGNUM
*a
);
403 BIGNUM
*BN_copy(BIGNUM
*a
, const BIGNUM
*b
);
404 /* BN_ncopy(): like BN_copy() but copies at most the first n BN_ULONGs */
405 BIGNUM
*BN_ncopy(BIGNUM
*a
, const BIGNUM
*b
, size_t n
);
406 void BN_swap(BIGNUM
*a
, BIGNUM
*b
);
407 BIGNUM
*BN_bin2bn(const unsigned char *s
,int len
,BIGNUM
*ret
);
408 int BN_bn2bin(const BIGNUM
*a
, unsigned char *to
);
409 BIGNUM
*BN_mpi2bn(const unsigned char *s
,int len
,BIGNUM
*ret
);
410 int BN_bn2mpi(const BIGNUM
*a
, unsigned char *to
);
411 int BN_sub(BIGNUM
*r
, const BIGNUM
*a
, const BIGNUM
*b
);
412 int BN_usub(BIGNUM
*r
, const BIGNUM
*a
, const BIGNUM
*b
);
413 int BN_uadd(BIGNUM
*r
, const BIGNUM
*a
, const BIGNUM
*b
);
414 int BN_add(BIGNUM
*r
, const BIGNUM
*a
, const BIGNUM
*b
);
415 int BN_mul(BIGNUM
*r
, const BIGNUM
*a
, const BIGNUM
*b
, BN_CTX
*ctx
);
416 int BN_sqr(BIGNUM
*r
, const BIGNUM
*a
,BN_CTX
*ctx
);
418 int BN_div(BIGNUM
*dv
, BIGNUM
*rem
, const BIGNUM
*m
, const BIGNUM
*d
,
420 #define BN_mod(rem,m,d,ctx) BN_div(NULL,(rem),(m),(d),(ctx))
421 int BN_nnmod(BIGNUM
*r
, const BIGNUM
*m
, const BIGNUM
*d
, BN_CTX
*ctx
);
422 int BN_mod_add(BIGNUM
*r
, const BIGNUM
*a
, const BIGNUM
*b
, const BIGNUM
*m
, BN_CTX
*ctx
);
423 int BN_mod_add_quick(BIGNUM
*r
, const BIGNUM
*a
, const BIGNUM
*b
, const BIGNUM
*m
);
424 int BN_mod_sub(BIGNUM
*r
, const BIGNUM
*a
, const BIGNUM
*b
, const BIGNUM
*m
, BN_CTX
*ctx
);
425 int BN_mod_sub_quick(BIGNUM
*r
, const BIGNUM
*a
, const BIGNUM
*b
, const BIGNUM
*m
);
426 int BN_mod_mul(BIGNUM
*r
, const BIGNUM
*a
, const BIGNUM
*b
,
427 const BIGNUM
*m
, BN_CTX
*ctx
);
428 int BN_mod_sqr(BIGNUM
*r
, const BIGNUM
*a
, const BIGNUM
*m
, BN_CTX
*ctx
);
429 int BN_mod_lshift1(BIGNUM
*r
, const BIGNUM
*a
, const BIGNUM
*m
, BN_CTX
*ctx
);
430 int BN_mod_lshift1_quick(BIGNUM
*r
, const BIGNUM
*a
, const BIGNUM
*m
);
431 int BN_mod_lshift(BIGNUM
*r
, const BIGNUM
*a
, int n
, const BIGNUM
*m
, BN_CTX
*ctx
);
432 int BN_mod_lshift_quick(BIGNUM
*r
, const BIGNUM
*a
, int n
, const BIGNUM
*m
);
434 BN_ULONG
BN_mod_word(const BIGNUM
*a
, BN_ULONG w
);
435 BN_ULONG
BN_div_word(BIGNUM
*a
, BN_ULONG w
);
436 int BN_mul_word(BIGNUM
*a
, BN_ULONG w
);
437 int BN_add_word(BIGNUM
*a
, BN_ULONG w
);
438 int BN_sub_word(BIGNUM
*a
, BN_ULONG w
);
439 int BN_set_word(BIGNUM
*a
, BN_ULONG w
);
440 BN_ULONG
BN_get_word(const BIGNUM
*a
);
442 int BN_cmp(const BIGNUM
*a
, const BIGNUM
*b
);
443 void BN_free(BIGNUM
*a
);
444 int BN_is_bit_set(const BIGNUM
*a
, int n
);
445 int BN_lshift(BIGNUM
*r
, const BIGNUM
*a
, int n
);
446 int BN_lshift1(BIGNUM
*r
, const BIGNUM
*a
);
447 int BN_exp(BIGNUM
*r
, const BIGNUM
*a
, const BIGNUM
*p
,BN_CTX
*ctx
);
449 int BN_mod_exp(BIGNUM
*r
, const BIGNUM
*a
, const BIGNUM
*p
,
450 const BIGNUM
*m
,BN_CTX
*ctx
);
451 int BN_mod_exp_mont(BIGNUM
*r
, const BIGNUM
*a
, const BIGNUM
*p
,
452 const BIGNUM
*m
, BN_CTX
*ctx
, BN_MONT_CTX
*m_ctx
);
453 int BN_mod_exp_mont_word(BIGNUM
*r
, BN_ULONG a
, const BIGNUM
*p
,
454 const BIGNUM
*m
, BN_CTX
*ctx
, BN_MONT_CTX
*m_ctx
);
455 int BN_mod_exp2_mont(BIGNUM
*r
, const BIGNUM
*a1
, const BIGNUM
*p1
,
456 const BIGNUM
*a2
, const BIGNUM
*p2
,const BIGNUM
*m
,
457 BN_CTX
*ctx
,BN_MONT_CTX
*m_ctx
);
458 int BN_mod_exp_simple(BIGNUM
*r
, const BIGNUM
*a
, const BIGNUM
*p
,
459 const BIGNUM
*m
,BN_CTX
*ctx
);
461 int BN_mask_bits(BIGNUM
*a
,int n
);
462 #ifndef OPENSSL_NO_FP_API
463 int BN_print_fp(FILE *fp
, const BIGNUM
*a
);
466 int BN_print(BIO
*fp
, const BIGNUM
*a
);
468 int BN_print(void *fp
, const BIGNUM
*a
);
470 int BN_reciprocal(BIGNUM
*r
, const BIGNUM
*m
, int len
, BN_CTX
*ctx
);
471 int BN_rshift(BIGNUM
*r
, const BIGNUM
*a
, int n
);
472 int BN_rshift1(BIGNUM
*r
, const BIGNUM
*a
);
473 void BN_clear(BIGNUM
*a
);
474 BIGNUM
*BN_dup(const BIGNUM
*a
);
475 int BN_ucmp(const BIGNUM
*a
, const BIGNUM
*b
);
476 int BN_set_bit(BIGNUM
*a
, int n
);
477 int BN_clear_bit(BIGNUM
*a
, int n
);
478 char * BN_bn2hex(const BIGNUM
*a
);
479 char * BN_bn2dec(const BIGNUM
*a
);
480 int BN_hex2bn(BIGNUM
**a
, const char *str
);
481 int BN_dec2bn(BIGNUM
**a
, const char *str
);
482 int BN_gcd(BIGNUM
*r
,const BIGNUM
*a
,const BIGNUM
*b
,BN_CTX
*ctx
);
483 int BN_kronecker(const BIGNUM
*a
,const BIGNUM
*b
,BN_CTX
*ctx
); /* returns -2 for error */
484 BIGNUM
*BN_mod_inverse(BIGNUM
*ret
,
485 const BIGNUM
*a
, const BIGNUM
*n
,BN_CTX
*ctx
);
486 BIGNUM
*BN_mod_sqrt(BIGNUM
*ret
,
487 const BIGNUM
*a
, const BIGNUM
*n
,BN_CTX
*ctx
);
489 /* Deprecated versions */
490 #ifndef OPENSSL_NO_DEPRECATED
491 BIGNUM
*BN_generate_prime(BIGNUM
*ret
,int bits
,int safe
,
492 const BIGNUM
*add
, const BIGNUM
*rem
,
493 void (*callback
)(int,int,void *),void *cb_arg
);
494 int BN_is_prime(const BIGNUM
*p
,int nchecks
,
495 void (*callback
)(int,int,void *),
496 BN_CTX
*ctx
,void *cb_arg
);
497 int BN_is_prime_fasttest(const BIGNUM
*p
,int nchecks
,
498 void (*callback
)(int,int,void *),BN_CTX
*ctx
,void *cb_arg
,
499 int do_trial_division
);
500 #endif /* !defined(OPENSSL_NO_DEPRECATED) */
503 int BN_generate_prime_ex(BIGNUM
*ret
,int bits
,int safe
, const BIGNUM
*add
,
504 const BIGNUM
*rem
, BN_GENCB
*cb
);
505 int BN_is_prime_ex(const BIGNUM
*p
,int nchecks
, BN_CTX
*ctx
, BN_GENCB
*cb
);
506 int BN_is_prime_fasttest_ex(const BIGNUM
*p
,int nchecks
, BN_CTX
*ctx
,
507 int do_trial_division
, BN_GENCB
*cb
);
509 BN_MONT_CTX
*BN_MONT_CTX_new(void );
510 void BN_MONT_CTX_init(BN_MONT_CTX
*ctx
);
511 int BN_mod_mul_montgomery(BIGNUM
*r
,const BIGNUM
*a
,const BIGNUM
*b
,
512 BN_MONT_CTX
*mont
, BN_CTX
*ctx
);
513 #define BN_to_montgomery(r,a,mont,ctx) BN_mod_mul_montgomery(\
514 (r),(a),&((mont)->RR),(mont),(ctx))
515 int BN_from_montgomery(BIGNUM
*r
,const BIGNUM
*a
,
516 BN_MONT_CTX
*mont
, BN_CTX
*ctx
);
517 void BN_MONT_CTX_free(BN_MONT_CTX
*mont
);
518 int BN_MONT_CTX_set(BN_MONT_CTX
*mont
,const BIGNUM
*mod
,BN_CTX
*ctx
);
519 BN_MONT_CTX
*BN_MONT_CTX_copy(BN_MONT_CTX
*to
,BN_MONT_CTX
*from
);
521 BN_BLINDING
*BN_BLINDING_new(BIGNUM
*A
,BIGNUM
*Ai
,BIGNUM
*mod
);
522 void BN_BLINDING_free(BN_BLINDING
*b
);
523 int BN_BLINDING_update(BN_BLINDING
*b
,BN_CTX
*ctx
);
524 int BN_BLINDING_convert(BIGNUM
*n
, BN_BLINDING
*r
, BN_CTX
*ctx
);
525 int BN_BLINDING_invert(BIGNUM
*n
, BN_BLINDING
*b
, BN_CTX
*ctx
);
527 void BN_set_params(int mul
,int high
,int low
,int mont
);
528 int BN_get_params(int which
); /* 0, mul, 1 high, 2 low, 3 mont */
530 void BN_RECP_CTX_init(BN_RECP_CTX
*recp
);
531 BN_RECP_CTX
*BN_RECP_CTX_new(void);
532 void BN_RECP_CTX_free(BN_RECP_CTX
*recp
);
533 int BN_RECP_CTX_set(BN_RECP_CTX
*recp
,const BIGNUM
*rdiv
,BN_CTX
*ctx
);
534 int BN_mod_mul_reciprocal(BIGNUM
*r
, const BIGNUM
*x
, const BIGNUM
*y
,
535 BN_RECP_CTX
*recp
,BN_CTX
*ctx
);
536 int BN_mod_exp_recp(BIGNUM
*r
, const BIGNUM
*a
, const BIGNUM
*p
,
537 const BIGNUM
*m
, BN_CTX
*ctx
);
538 int BN_div_recp(BIGNUM
*dv
, BIGNUM
*rem
, const BIGNUM
*m
,
539 BN_RECP_CTX
*recp
, BN_CTX
*ctx
);
541 /* Functions for arithmetic over binary polynomials represented by BIGNUMs.
543 * The BIGNUM::neg property of BIGNUMs representing binary polynomials is
546 * Note that input arguments are not const so that their bit arrays can
547 * be expanded to the appropriate size if needed.
550 int BN_GF2m_add(BIGNUM
*r
, const BIGNUM
*a
, const BIGNUM
*b
); /*r = a + b*/
551 #define BN_GF2m_sub(r, a, b) BN_GF2m_add(r, a, b)
552 int BN_GF2m_mod(BIGNUM
*r
, const BIGNUM
*a
, const BIGNUM
*p
); /*r=a mod p*/
553 int BN_GF2m_mod_mul(BIGNUM
*r
, const BIGNUM
*a
, const BIGNUM
*b
,
554 const BIGNUM
*p
, BN_CTX
*ctx
); /* r = (a * b) mod p */
555 int BN_GF2m_mod_sqr(BIGNUM
*r
, const BIGNUM
*a
, const BIGNUM
*p
,
556 BN_CTX
*ctx
); /* r = (a * a) mod p */
557 int BN_GF2m_mod_inv(BIGNUM
*r
, const BIGNUM
*b
, const BIGNUM
*p
,
558 BN_CTX
*ctx
); /* r = (1 / b) mod p */
559 int BN_GF2m_mod_div(BIGNUM
*r
, const BIGNUM
*a
, const BIGNUM
*b
,
560 const BIGNUM
*p
, BN_CTX
*ctx
); /* r = (a / b) mod p */
561 int BN_GF2m_mod_exp(BIGNUM
*r
, const BIGNUM
*a
, const BIGNUM
*b
,
562 const BIGNUM
*p
, BN_CTX
*ctx
); /* r = (a ^ b) mod p */
563 int BN_GF2m_mod_sqrt(BIGNUM
*r
, const BIGNUM
*a
, const BIGNUM
*p
,
564 BN_CTX
*ctx
); /* r = sqrt(a) mod p */
565 int BN_GF2m_mod_solve_quad(BIGNUM
*r
, const BIGNUM
*a
, const BIGNUM
*p
,
566 BN_CTX
*ctx
); /* r^2 + r = a mod p */
567 #define BN_GF2m_cmp(a, b) BN_ucmp((a), (b))
568 /* Some functions allow for representation of the irreducible polynomials
569 * as an unsigned int[], say p. The irreducible f(t) is then of the form:
570 * t^p[0] + t^p[1] + ... + t^p[k]
571 * where m = p[0] > p[1] > ... > p[k] = 0.
573 int BN_GF2m_mod_arr(BIGNUM
*r
, const BIGNUM
*a
, const unsigned int p
[]);
575 int BN_GF2m_mod_mul_arr(BIGNUM
*r
, const BIGNUM
*a
, const BIGNUM
*b
,
576 const unsigned int p
[], BN_CTX
*ctx
); /* r = (a * b) mod p */
577 int BN_GF2m_mod_sqr_arr(BIGNUM
*r
, const BIGNUM
*a
, const unsigned int p
[],
578 BN_CTX
*ctx
); /* r = (a * a) mod p */
579 int BN_GF2m_mod_inv_arr(BIGNUM
*r
, const BIGNUM
*b
, const unsigned int p
[],
580 BN_CTX
*ctx
); /* r = (1 / b) mod p */
581 int BN_GF2m_mod_div_arr(BIGNUM
*r
, const BIGNUM
*a
, const BIGNUM
*b
,
582 const unsigned int p
[], BN_CTX
*ctx
); /* r = (a / b) mod p */
583 int BN_GF2m_mod_exp_arr(BIGNUM
*r
, const BIGNUM
*a
, const BIGNUM
*b
,
584 const unsigned int p
[], BN_CTX
*ctx
); /* r = (a ^ b) mod p */
585 int BN_GF2m_mod_sqrt_arr(BIGNUM
*r
, const BIGNUM
*a
,
586 const unsigned int p
[], BN_CTX
*ctx
); /* r = sqrt(a) mod p */
587 int BN_GF2m_mod_solve_quad_arr(BIGNUM
*r
, const BIGNUM
*a
,
588 const unsigned int p
[], BN_CTX
*ctx
); /* r^2 + r = a mod p */
589 int BN_GF2m_poly2arr(const BIGNUM
*a
, unsigned int p
[], int max
);
590 int BN_GF2m_arr2poly(const unsigned int p
[], BIGNUM
*a
);
592 /* faster mod functions for the 'NIST primes'
594 int BN_nist_mod_192(BIGNUM
*r
, const BIGNUM
*a
, const BIGNUM
*p
, BN_CTX
*ctx
);
595 int BN_nist_mod_224(BIGNUM
*r
, const BIGNUM
*a
, const BIGNUM
*p
, BN_CTX
*ctx
);
596 int BN_nist_mod_256(BIGNUM
*r
, const BIGNUM
*a
, const BIGNUM
*p
, BN_CTX
*ctx
);
597 int BN_nist_mod_384(BIGNUM
*r
, const BIGNUM
*a
, const BIGNUM
*p
, BN_CTX
*ctx
);
598 int BN_nist_mod_521(BIGNUM
*r
, const BIGNUM
*a
, const BIGNUM
*p
, BN_CTX
*ctx
);
600 const BIGNUM
*BN_get0_nist_prime_192(void);
601 const BIGNUM
*BN_get0_nist_prime_224(void);
602 const BIGNUM
*BN_get0_nist_prime_256(void);
603 const BIGNUM
*BN_get0_nist_prime_384(void);
604 const BIGNUM
*BN_get0_nist_prime_521(void);
606 /* library internal functions */
608 #define bn_expand(a,bits) ((((((bits+BN_BITS2-1))/BN_BITS2)) <= (a)->dmax)?\
609 (a):bn_expand2((a),(bits)/BN_BITS2+1))
610 #define bn_wexpand(a,words) (((words) <= (a)->dmax)?(a):bn_expand2((a),(words)))
611 BIGNUM
*bn_expand2(BIGNUM
*a
, int words
);
612 BIGNUM
*bn_dup_expand(const BIGNUM
*a
, int words
);
614 /* Bignum consistency macros
615 * There is one "API" macro, bn_fix_top(), for stripping leading zeroes from
616 * bignum data after direct manipulations on the data. There is also an
617 * "internal" macro, bn_check_top(), for verifying that there are no leading
618 * zeroes. Unfortunately, some auditing is required due to the fact that
619 * bn_fix_top() has become an overabused duct-tape because bignum data is
620 * occasionally passed around in an inconsistent state. So the following
621 * changes have been made to sort this out;
622 * - bn_fix_top()s implementation has been moved to bn_correct_top()
623 * - if BN_DEBUG isn't defined, bn_fix_top() maps to bn_correct_top(), and
624 * bn_check_top() is as before.
625 * - if BN_DEBUG *is* defined;
626 * - bn_check_top() tries to pollute unused words even if the bignum 'top' is
627 * consistent. (ed: only if BN_DEBUG_RAND is defined)
628 * - bn_fix_top() maps to bn_check_top() rather than "fixing" anything.
629 * The idea is to have debug builds flag up inconsistent bignums when they
630 * occur. If that occurs in a bn_fix_top(), we examine the code in question; if
631 * the use of bn_fix_top() was appropriate (ie. it follows directly after code
632 * that manipulates the bignum) it is converted to bn_correct_top(), and if it
633 * was not appropriate, we convert it permanently to bn_check_top() and track
634 * down the cause of the bug. Eventually, no internal code should be using the
635 * bn_fix_top() macro. External applications and libraries should try this with
636 * their own code too, both in terms of building against the openssl headers
637 * with BN_DEBUG defined *and* linking with a version of OpenSSL built with it
638 * defined. This not only improves external code, it provides more test
639 * coverage for openssl's own code.
641 #define bn_correct_top(a) \
646 for (ftl= &((a)->d[(a)->top-1]); (a)->top > 0; (a)->top--) \
647 if (*(ftl--)) break; \
651 /* #define BN_DEBUG_RAND */
655 /* We only need assert() when debugging */
659 /* To avoid "make update" cvs wars due to BN_DEBUG, use some tricks */
660 #ifndef RAND_pseudo_bytes
661 int RAND_pseudo_bytes(unsigned char *buf
,int num
);
662 #define BN_DEBUG_TRIX
664 #define bn_check_top(a) \
666 const BIGNUM *_tbignum = (a); \
667 assert((_tbignum->top == 0) || \
668 (_tbignum->d[_tbignum->top - 1] != 0)); \
669 if(_tbignum->top < _tbignum->dmax) { \
670 /* We cast away const without the compiler knowing, any \
671 * *genuinely* constant variables that aren't mutable \
672 * wouldn't be constructed with top!=dmax. */ \
673 BN_ULONG *_not_const; \
674 memcpy(&_not_const, &_tbignum->d, sizeof(BN_ULONG*)); \
675 RAND_pseudo_bytes((unsigned char *)(_not_const + _tbignum->top), \
676 (_tbignum->dmax - _tbignum->top) * sizeof(BN_ULONG)); \
680 #undef RAND_pseudo_bytes
682 #else /* !BN_DEBUG_RAND */
683 #define bn_check_top(a) \
685 const BIGNUM *_tbignum = (a); \
686 assert((_tbignum->top == 0) || \
687 (_tbignum->d[_tbignum->top - 1] != 0)); \
691 #define bn_fix_top(a) bn_check_top(a)
693 #else /* !BN_DEBUG */
695 #define bn_check_top(a) do { ; } while(0)
696 #define bn_fix_top(a) bn_correct_top(a)
700 BN_ULONG
bn_mul_add_words(BN_ULONG
*rp
, const BN_ULONG
*ap
, int num
, BN_ULONG w
);
701 BN_ULONG
bn_mul_words(BN_ULONG
*rp
, const BN_ULONG
*ap
, int num
, BN_ULONG w
);
702 void bn_sqr_words(BN_ULONG
*rp
, const BN_ULONG
*ap
, int num
);
703 BN_ULONG
bn_div_words(BN_ULONG h
, BN_ULONG l
, BN_ULONG d
);
704 BN_ULONG
bn_add_words(BN_ULONG
*rp
, const BN_ULONG
*ap
, const BN_ULONG
*bp
,int num
);
705 BN_ULONG
bn_sub_words(BN_ULONG
*rp
, const BN_ULONG
*ap
, const BN_ULONG
*bp
,int num
);
708 void bn_dump1(FILE *o
, const char *a
, const BN_ULONG
*b
,int n
);
709 # define bn_print(a) {fprintf(stderr, #a "="); BN_print_fp(stderr,a); \
710 fprintf(stderr,"\n");}
711 # define bn_dump(a,n) bn_dump1(stderr,#a,a,n);
714 # define bn_dump(a,b)
717 int BN_bntest_rand(BIGNUM
*rnd
, int bits
, int top
,int bottom
);
719 /* BEGIN ERROR CODES */
720 /* The following lines are auto generated by the script mkerr.pl. Any changes
721 * made after this point may be overwritten when the script is next run.
723 void ERR_load_BN_strings(void);
725 /* Error codes for the BN functions. */
727 /* Function codes. */
728 #define BN_F_BN_BLINDING_CONVERT 100
729 #define BN_F_BN_BLINDING_INVERT 101
730 #define BN_F_BN_BLINDING_NEW 102
731 #define BN_F_BN_BLINDING_UPDATE 103
732 #define BN_F_BN_BN2DEC 104
733 #define BN_F_BN_BN2HEX 105
734 #define BN_F_BN_CTX_GET 116
735 #define BN_F_BN_CTX_NEW 106
736 #define BN_F_BN_DIV 107
737 #define BN_F_BN_EXPAND2 108
738 #define BN_F_BN_EXPAND_INTERNAL 120
739 #define BN_F_BN_GF2M_MOD 126
740 #define BN_F_BN_GF2M_MOD_DIV 123
741 #define BN_F_BN_GF2M_MOD_EXP 127
742 #define BN_F_BN_GF2M_MOD_MUL 124
743 #define BN_F_BN_GF2M_MOD_SOLVE_QUAD 128
744 #define BN_F_BN_GF2M_MOD_SOLVE_QUAD_ARR 129
745 #define BN_F_BN_GF2M_MOD_SQR 125
746 #define BN_F_BN_MOD_EXP2_MONT 118
747 #define BN_F_BN_MOD_EXP_MONT 109
748 #define BN_F_BN_MOD_EXP_MONT_WORD 117
749 #define BN_F_BN_MOD_INVERSE 110
750 #define BN_F_BN_MOD_LSHIFT_QUICK 119
751 #define BN_F_BN_MOD_MUL_RECIPROCAL 111
752 #define BN_F_BN_MOD_SQRT 121
753 #define BN_F_BN_MPI2BN 112
754 #define BN_F_BN_NEW 113
755 #define BN_F_BN_RAND 114
756 #define BN_F_BN_RAND_RANGE 122
757 #define BN_F_BN_USUB 115
760 #define BN_R_ARG2_LT_ARG3 100
761 #define BN_R_BAD_RECIPROCAL 101
762 #define BN_R_BIGNUM_TOO_LONG 114
763 #define BN_R_CALLED_WITH_EVEN_MODULUS 102
764 #define BN_R_DIV_BY_ZERO 103
765 #define BN_R_ENCODING_ERROR 104
766 #define BN_R_EXPAND_ON_STATIC_BIGNUM_DATA 105
767 #define BN_R_INPUT_NOT_REDUCED 110
768 #define BN_R_INVALID_LENGTH 106
769 #define BN_R_INVALID_RANGE 115
770 #define BN_R_NOT_A_SQUARE 111
771 #define BN_R_NOT_IMPLEMENTED 116
772 #define BN_R_NOT_INITIALIZED 107
773 #define BN_R_NO_INVERSE 108
774 #define BN_R_P_IS_NOT_PRIME 112
775 #define BN_R_TOO_MANY_ITERATIONS 113
776 #define BN_R_TOO_MANY_TEMPORARY_VARIABLES 109