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169cc7a1 1/* crypto/bn/bn.h */
d02b48c6
RE		 2/* Copyright (C) 1995-1997 Eric Young (eay@cryptsoft.com)
3 * All rights reserved.
4 *
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.
8 *
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).
15 *
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.
22 *
23 * Redistribution and use in source and binary forms, with or without
24 * modification, are permitted provided that the following conditions
25 * are met:
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)"
40 *
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
51 * SUCH DAMAGE.
52 *
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.]
57 */
58
d02b48c6
RE		 59#ifndef HEADER_BN_H
60#define HEADER_BN_H
61
cf1b7d96 62#ifndef OPENSSL_NO_FP_API
2b6405fa
BM		 63#include <stdio.h> /* FILE */
64#endif
ec577822 65#include <openssl/opensslconf.h>
8e10f2b3 66
d02b48c6
RE		 67#ifdef __cplusplus
68extern "C" {
69#endif
70
81208130 71#ifdef OPENSSL_SYS_VMS
7d7d2cbc
UM		 72#undef BN_LLONG /* experimental, so far... */
73#endif
74
dfeab068
RE		 75#define BN_MUL_COMBA
76#define BN_SQR_COMBA
77#define BN_RECURSION
d02b48c6
RE		 78
79/* This next option uses the C libraries (2 word)/(1 word) function.
80 * If it is not defined, I use my C version (which is slower).
81 * The reason for this flag is that when the particular C compiler
82 * library routine is used, and the library is linked with a different
83 * compiler, the library is missing. This mostly happens when the
657e60fa
UM		 84 * library is built with gcc and then linked using normal cc. This would
85 * be a common occurrence because gcc normally produces code that is
d02b48c6
RE		 86 * 2 times faster than system compilers for the big number stuff.
87 * For machines with only one compiler (or shared libraries), this should
88 * be on. Again this in only really a problem on machines
657e60fa 89 * using "long long's", are 32bit, and are not using my assembler code. */
cf1b7d96
RL		 90#if defined(OPENSSL_SYS_MSDOS) || defined(OPENSSL_SYS_WINDOWS) || \
91 defined(OPENSSL_SYS_WIN32) || defined(linux)
227385b7 92#undef BN_DIV2W
d02b48c6
RE		 93#define BN_DIV2W
94#endif
95
d02b48c6
RE		 96/* assuming long is 64bit - this is the DEC Alpha
97 * unsigned long long is only 64 bits :-(, don't define
98 * BN_LLONG for the DEC Alpha */
99#ifdef SIXTY_FOUR_BIT_LONG
100#define BN_ULLONG unsigned long long
101#define BN_ULONG unsigned long
102#define BN_LONG long
103#define BN_BITS 128
104#define BN_BYTES 8
105#define BN_BITS2 64
106#define BN_BITS4 32
dfeab068 107#define BN_MASK (0xffffffffffffffffffffffffffffffffLL)
d02b48c6
RE		 108#define BN_MASK2 (0xffffffffffffffffL)
109#define BN_MASK2l (0xffffffffL)
110#define BN_MASK2h (0xffffffff00000000L)
111#define BN_MASK2h1 (0xffffffff80000000L)
112#define BN_TBIT (0x8000000000000000L)
dfeab068 113#define BN_DEC_CONV (10000000000000000000UL)
58964a49
RE		 114#define BN_DEC_FMT1 "%lu"
115#define BN_DEC_FMT2 "%019lu"
116#define BN_DEC_NUM 19
d02b48c6
RE		 117#endif
118
dfeab068
RE		 119/* This is where the long long data type is 64 bits, but long is 32.
120 * For machines where there are 64bit registers, this is the mode to use.
657e60fa
UM		 121 * IRIX, on R4000 and above should use this mode, along with the relevant
122 * assembler code :-). Do NOT define BN_LLONG.
dfeab068 123 */
d02b48c6 124#ifdef SIXTY_FOUR_BIT
e14d4443
UM		 125#undef BN_LLONG
126#undef BN_ULLONG
d02b48c6
RE		 127#define BN_ULONG unsigned long long
128#define BN_LONG long long
129#define BN_BITS 128
130#define BN_BYTES 8
131#define BN_BITS2 64
132#define BN_BITS4 32
133#define BN_MASK2 (0xffffffffffffffffLL)
134#define BN_MASK2l (0xffffffffL)
135#define BN_MASK2h (0xffffffff00000000LL)
136#define BN_MASK2h1 (0xffffffff80000000LL)
137#define BN_TBIT (0x8000000000000000LL)
dfeab068
RE		 138#define BN_DEC_CONV (10000000000000000000LL)
139#define BN_DEC_FMT1 "%llu"
140#define BN_DEC_FMT2 "%019llu"
58964a49 141#define BN_DEC_NUM 19
d02b48c6
RE		 142#endif
143
144#ifdef THIRTY_TWO_BIT
cf1b7d96 145#if defined(OPENSSL_SYS_WIN32) && !defined(__GNUC__)
d02b48c6
RE		 146#define BN_ULLONG unsigned _int64
147#else
148#define BN_ULLONG unsigned long long
149#endif
150#define BN_ULONG unsigned long
151#define BN_LONG long
152#define BN_BITS 64
153#define BN_BYTES 4
154#define BN_BITS2 32
155#define BN_BITS4 16
cf1b7d96 156#ifdef OPENSSL_SYS_WIN32
9b3086fe
DSH		 157/* VC++ doesn't like the LL suffix */
158#define BN_MASK (0xffffffffffffffffL)
159#else
dfeab068 160#define BN_MASK (0xffffffffffffffffLL)
9b3086fe 161#endif
d02b48c6
RE		 162#define BN_MASK2 (0xffffffffL)
163#define BN_MASK2l (0xffff)
164#define BN_MASK2h1 (0xffff8000L)
165#define BN_MASK2h (0xffff0000L)
166#define BN_TBIT (0x80000000L)
58964a49
RE		 167#define BN_DEC_CONV (1000000000L)
168#define BN_DEC_FMT1 "%lu"
169#define BN_DEC_FMT2 "%09lu"
170#define BN_DEC_NUM 9
d02b48c6
RE		 171#endif
172
173#ifdef SIXTEEN_BIT
174#ifndef BN_DIV2W
175#define BN_DIV2W
176#endif
177#define BN_ULLONG unsigned long
178#define BN_ULONG unsigned short
179#define BN_LONG short
180#define BN_BITS 32
181#define BN_BYTES 2
182#define BN_BITS2 16
183#define BN_BITS4 8
dfeab068 184#define BN_MASK (0xffffffff)
d02b48c6
RE		 185#define BN_MASK2 (0xffff)
186#define BN_MASK2l (0xff)
187#define BN_MASK2h1 (0xff80)
188#define BN_MASK2h (0xff00)
189#define BN_TBIT (0x8000)
58964a49
RE		 190#define BN_DEC_CONV (100000)
191#define BN_DEC_FMT1 "%u"
192#define BN_DEC_FMT2 "%05u"
193#define BN_DEC_NUM 5
d02b48c6
RE		 194#endif
195
196#ifdef EIGHT_BIT
197#ifndef BN_DIV2W
198#define BN_DIV2W
199#endif
200#define BN_ULLONG unsigned short
201#define BN_ULONG unsigned char
202#define BN_LONG char
203#define BN_BITS 16
204#define BN_BYTES 1
205#define BN_BITS2 8
206#define BN_BITS4 4
dfeab068 207#define BN_MASK (0xffff)
d02b48c6
RE		 208#define BN_MASK2 (0xff)
209#define BN_MASK2l (0xf)
210#define BN_MASK2h1 (0xf8)
211#define BN_MASK2h (0xf0)
212#define BN_TBIT (0x80)
58964a49
RE		 213#define BN_DEC_CONV (100)
214#define BN_DEC_FMT1 "%u"
215#define BN_DEC_FMT2 "%02u"
216#define BN_DEC_NUM 2
d02b48c6
RE		 217#endif
218
219#define BN_DEFAULT_BITS 1280
220
221#ifdef BIGNUM
222#undef BIGNUM
223#endif
224
dfeab068
RE		 225#define BN_FLG_MALLOCED 0x01
226#define BN_FLG_STATIC_DATA 0x02
227#define BN_FLG_FREE 0x8000 /* used for debuging */
228#define BN_set_flags(b,n) ((b)->flags|=(n))
229#define BN_get_flags(b,n) ((b)->flags&(n))
230
d02b48c6
RE		 231typedef struct bignum_st
232 {
233 BN_ULONG *d; /* Pointer to an array of 'BN_BITS2' bit chunks. */
234 int top; /* Index of last used d +1. */
235 /* The next are internal book keeping for bn_expand. */
2d978cbd 236 int dmax; /* Size of the d array. */
d02b48c6 237 int neg; /* one if the number is negative */
dfeab068 238 int flags;
d02b48c6
RE		 239 } BIGNUM;
240
241/* Used for temp variables */
cd2eebfd 242#define BN_CTX_NUM 20
eb5a6a55 243#define BN_CTX_NUM_POS 12
d02b48c6
RE		 244typedef struct bignum_ctx
245 {
246 int tos;
eb5a6a55 247 BIGNUM bn[BN_CTX_NUM];
dfeab068 248 int flags;
9b141126 249 int depth;
eb5a6a55
BM		 250 int pos[BN_CTX_NUM_POS];
251 int too_many;
d02b48c6
RE		 252 } BN_CTX;
253
58964a49
RE		 254typedef struct bn_blinding_st
255 {
256 int init;
257 BIGNUM *A;
258 BIGNUM *Ai;
259 BIGNUM *mod; /* just a reference */
260 } BN_BLINDING;
261
d02b48c6
RE		 262/* Used for montgomery multiplication */
263typedef struct bn_mont_ctx_st
e93f9a32 264 {
e93f9a32
UM		 265 int ri; /* number of bits in R */
266 BIGNUM RR; /* used to convert to montgomery form */
267 BIGNUM N; /* The modulus */
ec1258dd
BM		 268 BIGNUM Ni; /* R*(1/R mod N) - N*Ni = 1
269 * (Ni is only stored for bignum algorithm) */
270 BN_ULONG n0; /* least significant word of Ni */
dfeab068 271 int flags;
e93f9a32 272 } BN_MONT_CTX;
d02b48c6 273
dfeab068
RE		 274/* Used for reciprocal division/mod functions
275 * It cannot be shared between threads
276 */
277typedef struct bn_recp_ctx_st
278 {
279 BIGNUM N; /* the divisor */
280 BIGNUM Nr; /* the reciprocal */
281 int num_bits;
282 int shift;
283 int flags;
284 } BN_RECP_CTX;
285
4486d0cd
UM		 286#define BN_prime_checks 0 /* default: select number of iterations
287 based on the size of the number */
d02b48c6 288
38e33cef
UM		 289/* number of Miller-Rabin iterations for an error rate of less than 2^-80
290 * for random 'b'-bit input, b >= 100 (taken from table 4.4 in the Handbook
291 * of Applied Cryptography [Menezes, van Oorschot, Vanstone; CRC Press 1996];
292 * original paper: Damgaard, Landrock, Pomerance: Average case error estimates
293 * for the strong probable prime test. -- Math. Comp. 61 (1993) 177-194) */
a87030a1 294#define BN_prime_checks_for_size(b) ((b) >= 1300 ? 2 : \
38e33cef
UM		 295 (b) >= 850 ? 3 : \
296 (b) >= 650 ? 4 : \
297 (b) >= 550 ? 5 : \
298 (b) >= 450 ? 6 : \
299 (b) >= 400 ? 7 : \
300 (b) >= 350 ? 8 : \
301 (b) >= 300 ? 9 : \
302 (b) >= 250 ? 12 : \
303 (b) >= 200 ? 15 : \
304 (b) >= 150 ? 18 : \
305 /* b >= 100 */ 27)
306
d02b48c6 307#define BN_num_bytes(a) ((BN_num_bits(a)+7)/8)
dcbd0d74
BM		 308
309/* Note that BN_abs_is_word does not work reliably for w == 0 */
310#define BN_abs_is_word(a,w) (((a)->top == 1) && ((a)->d[0] == (BN_ULONG)(w)))
311#define BN_is_zero(a) (((a)->top == 0) || BN_abs_is_word(a,0))
312#define BN_is_one(a) (BN_abs_is_word((a),1) && !(a)->neg)
313#define BN_is_word(a,w) ((w) ? BN_abs_is_word((a),(w)) && !(a)->neg : \
314 BN_is_zero((a)))
315#define BN_is_odd(a) (((a)->top > 0) && ((a)->d[0] & 1))
316
d02b48c6
RE		 317#define BN_one(a) (BN_set_word((a),1))
318#define BN_zero(a) (BN_set_word((a),0))
319
dfeab068
RE		 320/*#define BN_ascii2bn(a) BN_hex2bn(a) */
321/*#define BN_bn2ascii(a) BN_bn2hex(a) */
d02b48c6 322
d02b48c6
RE		 323BIGNUM *BN_value_one(void);
324char * BN_options(void);
325BN_CTX *BN_CTX_new(void);
dfeab068 326void BN_CTX_init(BN_CTX *c);
d02b48c6 327void BN_CTX_free(BN_CTX *c);
9b141126
UM		 328void BN_CTX_start(BN_CTX *ctx);
329BIGNUM *BN_CTX_get(BN_CTX *ctx);
330void BN_CTX_end(BN_CTX *ctx);
d02b48c6 331int BN_rand(BIGNUM *rnd, int bits, int top,int bottom);
f95a9f67 332int BN_pseudo_rand(BIGNUM *rnd, int bits, int top,int bottom);
e3068929 333int BN_rand_range(BIGNUM *rnd, BIGNUM *range);
84c15db5 334int BN_num_bits(const BIGNUM *a);
d02b48c6
RE		 335int BN_num_bits_word(BN_ULONG);
336BIGNUM *BN_new(void);
dfeab068 337void BN_init(BIGNUM *);
d02b48c6 338void BN_clear_free(BIGNUM *a);
84c15db5 339BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b);
78a0c1f1 340void BN_swap(BIGNUM *a, BIGNUM *b);
61f5b6f3 341BIGNUM *BN_bin2bn(const unsigned char *s,int len,BIGNUM *ret);
8623f693 342int BN_bn2bin(const BIGNUM *a, unsigned char *to);
cbd48ba6 343BIGNUM *BN_mpi2bn(const unsigned char *s,int len,BIGNUM *ret);
8623f693 344int BN_bn2mpi(const BIGNUM *a, unsigned char *to);
84c15db5
BL		 345int BN_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
346int BN_usub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
347int BN_uadd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
dd8dec69 348int BN_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
020fc820
RL		 349int BN_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
350int BN_sqr(BIGNUM *r, const BIGNUM *a,BN_CTX *ctx);
5acaa495 351
78a0c1f1
BM		 352int BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, const BIGNUM *d,
353 BN_CTX *ctx);
354#define BN_mod(rem,m,d,ctx) BN_div(NULL,(rem),(m),(d),(ctx))
5acaa495
BM		 355int BN_nnmod(BIGNUM *r, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx);
356int BN_mod_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx);
357int BN_mod_add_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m);
358int BN_mod_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx);
359int BN_mod_sub_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m);
360int BN_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
78a0c1f1 361 const BIGNUM *m, BN_CTX *ctx);
cd2eebfd 362int BN_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx);
5acaa495
BM		 363int BN_mod_lshift1(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx);
364int BN_mod_lshift1_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *m);
365int BN_mod_lshift(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m, BN_CTX *ctx);
366int BN_mod_lshift_quick(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m);
367
7999c65c 368BN_ULONG BN_mod_word(const BIGNUM *a, BN_ULONG w);
dfeab068
RE		 369BN_ULONG BN_div_word(BIGNUM *a, BN_ULONG w);
370int BN_mul_word(BIGNUM *a, BN_ULONG w);
371int BN_add_word(BIGNUM *a, BN_ULONG w);
372int BN_sub_word(BIGNUM *a, BN_ULONG w);
373int BN_set_word(BIGNUM *a, BN_ULONG w);
020fc820 374BN_ULONG BN_get_word(const BIGNUM *a);
5acaa495 375
84c15db5 376int BN_cmp(const BIGNUM *a, const BIGNUM *b);
d02b48c6 377void BN_free(BIGNUM *a);
84c15db5
BL		 378int BN_is_bit_set(const BIGNUM *a, int n);
379int BN_lshift(BIGNUM *r, const BIGNUM *a, int n);
020fc820
RL		 380int BN_lshift1(BIGNUM *r, const BIGNUM *a);
381int BN_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,BN_CTX *ctx);
5acaa495 382
020fc820
RL		 383int BN_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
384 const BIGNUM *m,BN_CTX *ctx);
385int BN_mod_exp_mont(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
386 const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx);
6dad7bd6 387int BN_mod_exp_mont_word(BIGNUM *r, BN_ULONG a, const BIGNUM *p,
020fc820
RL		 388 const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx);
389int BN_mod_exp2_mont(BIGNUM *r, const BIGNUM *a1, const BIGNUM *p1,
390 const BIGNUM *a2, const BIGNUM *p2,const BIGNUM *m,
391 BN_CTX *ctx,BN_MONT_CTX *m_ctx);
392int BN_mod_exp_simple(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
393 const BIGNUM *m,BN_CTX *ctx);
5acaa495 394
d02b48c6 395int BN_mask_bits(BIGNUM *a,int n);
cf1b7d96 396#ifndef OPENSSL_NO_FP_API
e93f9a32 397int BN_print_fp(FILE *fp, const BIGNUM *a);
d02b48c6
RE		 398#endif
399#ifdef HEADER_BIO_H
8d8a8041 400int BN_print(BIO *fp, const BIGNUM *a);
d02b48c6 401#else
775c63fc 402int BN_print(void *fp, const BIGNUM *a);
d02b48c6 403#endif
020fc820
RL		 404int BN_reciprocal(BIGNUM *r, const BIGNUM *m, int len, BN_CTX *ctx);
405int BN_rshift(BIGNUM *r, const BIGNUM *a, int n);
406int BN_rshift1(BIGNUM *r, const BIGNUM *a);
d02b48c6 407void BN_clear(BIGNUM *a);
84c15db5
BL		 408BIGNUM *BN_dup(const BIGNUM *a);
409int BN_ucmp(const BIGNUM *a, const BIGNUM *b);
d02b48c6
RE		 410int BN_set_bit(BIGNUM *a, int n);
411int BN_clear_bit(BIGNUM *a, int n);
8623f693
DSH		 412char * BN_bn2hex(const BIGNUM *a);
413char * BN_bn2dec(const BIGNUM *a);
414int BN_hex2bn(BIGNUM **a, const char *str);
415int BN_dec2bn(BIGNUM **a, const char *str);
dcbd0d74
BM		 416int BN_gcd(BIGNUM *r,const BIGNUM *a,const BIGNUM *b,BN_CTX *ctx);
417int BN_kronecker(const BIGNUM *a,const BIGNUM *b,BN_CTX *ctx); /* returns -2 for error */
020fc820
RL		 418BIGNUM *BN_mod_inverse(BIGNUM *ret,
419 const BIGNUM *a, const BIGNUM *n,BN_CTX *ctx);
cd2eebfd
BM		 420BIGNUM *BN_mod_sqrt(BIGNUM *ret,
421 const BIGNUM *a, const BIGNUM *n,BN_CTX *ctx);
020fc820
RL		 422BIGNUM *BN_generate_prime(BIGNUM *ret,int bits,int safe,
423 const BIGNUM *add, const BIGNUM *rem,
424 void (*callback)(int,int,void *),void *cb_arg);
aff0825c 425int BN_is_prime(const BIGNUM *p,int nchecks,
227385b7
RL		 426 void (*callback)(int,int,void *),
427 BN_CTX *ctx,void *cb_arg);
aff0825c 428int BN_is_prime_fasttest(const BIGNUM *p,int nchecks,
227385b7
RL		 429 void (*callback)(int,int,void *),BN_CTX *ctx,void *cb_arg,
430 int do_trial_division);
d02b48c6
RE		 431void ERR_load_BN_strings(void );
432
d02b48c6 433BN_MONT_CTX *BN_MONT_CTX_new(void );
dfeab068 434void BN_MONT_CTX_init(BN_MONT_CTX *ctx);
020fc820
RL		 435int BN_mod_mul_montgomery(BIGNUM *r,const BIGNUM *a,const BIGNUM *b,
436 BN_MONT_CTX *mont, BN_CTX *ctx);
78a0c1f1
BM		 437#define BN_to_montgomery(r,a,mont,ctx) BN_mod_mul_montgomery(\
438 (r),(a),&((mont)->RR),(mont),(ctx))
cbd48ba6
RL		 439int BN_from_montgomery(BIGNUM *r,const BIGNUM *a,
440 BN_MONT_CTX *mont, BN_CTX *ctx);
d02b48c6 441void BN_MONT_CTX_free(BN_MONT_CTX *mont);
84c15db5 442int BN_MONT_CTX_set(BN_MONT_CTX *mont,const BIGNUM *modulus,BN_CTX *ctx);
dfeab068 443BN_MONT_CTX *BN_MONT_CTX_copy(BN_MONT_CTX *to,BN_MONT_CTX *from);
d02b48c6 444
58964a49
RE		 445BN_BLINDING *BN_BLINDING_new(BIGNUM *A,BIGNUM *Ai,BIGNUM *mod);
446void BN_BLINDING_free(BN_BLINDING *b);
447int BN_BLINDING_update(BN_BLINDING *b,BN_CTX *ctx);
448int BN_BLINDING_convert(BIGNUM *n, BN_BLINDING *r, BN_CTX *ctx);
449int BN_BLINDING_invert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx);
450
dfeab068
RE		 451void BN_set_params(int mul,int high,int low,int mont);
452int BN_get_params(int which); /* 0, mul, 1 high, 2 low, 3 mont */
453
dfeab068
RE		 454void BN_RECP_CTX_init(BN_RECP_CTX *recp);
455BN_RECP_CTX *BN_RECP_CTX_new(void);
456void BN_RECP_CTX_free(BN_RECP_CTX *recp);
84c15db5 457int BN_RECP_CTX_set(BN_RECP_CTX *recp,const BIGNUM *rdiv,BN_CTX *ctx);
020fc820 458int BN_mod_mul_reciprocal(BIGNUM *r, const BIGNUM *x, const BIGNUM *y,
227385b7 459 BN_RECP_CTX *recp,BN_CTX *ctx);
84c15db5 460int BN_mod_exp_recp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
227385b7 461 const BIGNUM *m, BN_CTX *ctx);
020fc820 462int BN_div_recp(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m,
227385b7 463 BN_RECP_CTX *recp, BN_CTX *ctx);
dfeab068 464
775c63fc
UM		 465/* library internal functions */
466
2d978cbd 467#define bn_expand(a,bits) ((((((bits+BN_BITS2-1))/BN_BITS2)) <= (a)->dmax)?\
775c63fc 468 (a):bn_expand2((a),(bits)/BN_BITS2+1))
2d978cbd 469#define bn_wexpand(a,words) (((words) <= (a)->dmax)?(a):bn_expand2((a),(words)))
775c63fc 470BIGNUM *bn_expand2(BIGNUM *a, int words);
020fc820 471BIGNUM *bn_dup_expand(const BIGNUM *a, int words);
775c63fc
UM		 472
473#define bn_fix_top(a) \
474 { \
475 BN_ULONG *ftl; \
476 if ((a)->top > 0) \
477 { \
478 for (ftl= &((a)->d[(a)->top-1]); (a)->top > 0; (a)->top--) \
479 if (*(ftl--)) break; \
480 } \
481 }
482
cbd48ba6
RL		 483BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w);
484BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w);
485void bn_sqr_words(BN_ULONG *rp, const BN_ULONG *ap, int num);
775c63fc 486BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d);
cbd48ba6
RL		 487BN_ULONG bn_add_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,int num);
488BN_ULONG bn_sub_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,int num);
775c63fc
UM		 489
490#ifdef BN_DEBUG
227385b7 491void bn_dump1(FILE *o, const char *a, const BN_ULONG *b,int n);
775c63fc
UM		 492# define bn_print(a) {fprintf(stderr, #a "="); BN_print_fp(stderr,a); \
493 fprintf(stderr,"\n");}
494# define bn_dump(a,n) bn_dump1(stderr,#a,a,n);
495#else
496# define bn_print(a)
497# define bn_dump(a,b)
498#endif
dfeab068 499
111482cf
UM		 500int BN_bntest_rand(BIGNUM *rnd, int bits, int top,int bottom);
501
d02b48c6 502/* BEGIN ERROR CODES */
6d311938
DSH		 503/* The following lines are auto generated by the script mkerr.pl. Any changes
504 * made after this point may be overwritten when the script is next run.
505 */
506
d02b48c6
RE		 507/* Error codes for the BN functions. */
508
509/* Function codes. */
58964a49
RE		 510#define BN_F_BN_BLINDING_CONVERT 100
511#define BN_F_BN_BLINDING_INVERT 101
512#define BN_F_BN_BLINDING_NEW 102
513#define BN_F_BN_BLINDING_UPDATE 103
a0a54079
MC		 514#define BN_F_BN_BN2DEC 104
515#define BN_F_BN_BN2HEX 105
9b141126 516#define BN_F_BN_CTX_GET 116
a0a54079
MC		 517#define BN_F_BN_CTX_NEW 106
518#define BN_F_BN_DIV 107
519#define BN_F_BN_EXPAND2 108
a08bcccc 520#define BN_F_BN_EXPAND_INTERNAL 120
dc434bbc 521#define BN_F_BN_MOD_EXP2_MONT 118
a0a54079 522#define BN_F_BN_MOD_EXP_MONT 109
6dad7bd6 523#define BN_F_BN_MOD_EXP_MONT_WORD 117
a0a54079 524#define BN_F_BN_MOD_INVERSE 110
5acaa495 525#define BN_F_BN_MOD_LSHIFT_QUICK 119
a0a54079 526#define BN_F_BN_MOD_MUL_RECIPROCAL 111
cd2eebfd 527#define BN_F_BN_MOD_SQRT 121
a0a54079
MC		 528#define BN_F_BN_MPI2BN 112
529#define BN_F_BN_NEW 113
530#define BN_F_BN_RAND 114
35ed8cb8 531#define BN_F_BN_RAND_RANGE 122
a0a54079 532#define BN_F_BN_USUB 115
d02b48c6
RE		 533
534/* Reason codes. */
dfeab068
RE		 535#define BN_R_ARG2_LT_ARG3 100
536#define BN_R_BAD_RECIPROCAL 101
e5164b70 537#define BN_R_BIGNUM_TOO_LONG 114
dfeab068
RE		 538#define BN_R_CALLED_WITH_EVEN_MODULUS 102
539#define BN_R_DIV_BY_ZERO 103
540#define BN_R_ENCODING_ERROR 104
541#define BN_R_EXPAND_ON_STATIC_BIGNUM_DATA 105
5acaa495 542#define BN_R_INPUT_NOT_REDUCED 110
dfeab068 543#define BN_R_INVALID_LENGTH 106
35ed8cb8 544#define BN_R_INVALID_RANGE 115
cd2eebfd 545#define BN_R_NOT_A_SQUARE 111
df82f5c8 546#define BN_R_NOT_INITIALIZED 107
dfeab068 547#define BN_R_NO_INVERSE 108
cd2eebfd
BM		 548#define BN_R_P_IS_NOT_PRIME 112
549#define BN_R_TOO_MANY_ITERATIONS 113
9b141126 550#define BN_R_TOO_MANY_TEMPORARY_VARIABLES 109
6d311938 551
d02b48c6
RE		 552#ifdef __cplusplus
553}
554#endif
555#endif
5acaa495 556
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