bn.h revision 100936
1181643Skmacy/* crypto/bn/bn.h */
2181643Skmacy/* Copyright (C) 1995-1997 Eric Young (eay@cryptsoft.com)
3181643Skmacy * All rights reserved.
4181643Skmacy *
5181643Skmacy * This package is an SSL implementation written
6181643Skmacy * by Eric Young (eay@cryptsoft.com).
7181643Skmacy * The implementation was written so as to conform with Netscapes SSL.
8192003Skmacy *
9192003Skmacy * This library is free for commercial and non-commercial use as long as
10192003Skmacy * the following conditions are aheared to.  The following conditions
11192003Skmacy * apply to all code found in this distribution, be it the RC4, RSA,
12192003Skmacy * lhash, DES, etc., code; not just the SSL code.  The SSL documentation
13192003Skmacy * included with this distribution is covered by the same copyright terms
14192003Skmacy * except that the holder is Tim Hudson (tjh@cryptsoft.com).
15192003Skmacy *
16192003Skmacy * Copyright remains Eric Young's, and as such any Copyright notices in
17192003Skmacy * the code are not to be removed.
18192003Skmacy * If this package is used in a product, Eric Young should be given attribution
19181643Skmacy * as the author of the parts of the library used.
20181643Skmacy * This can be in the form of a textual message at program startup or
21181643Skmacy * in documentation (online or textual) provided with the package.
22181643Skmacy *
23181643Skmacy * Redistribution and use in source and binary forms, with or without
24181643Skmacy * modification, are permitted provided that the following conditions
25181643Skmacy * are met:
26181643Skmacy * 1. Redistributions of source code must retain the copyright
27181643Skmacy *    notice, this list of conditions and the following disclaimer.
28181643Skmacy * 2. Redistributions in binary form must reproduce the above copyright
29181643Skmacy *    notice, this list of conditions and the following disclaimer in the
30181643Skmacy *    documentation and/or other materials provided with the distribution.
31181643Skmacy * 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
59#ifndef HEADER_BN_H
60#define HEADER_BN_H
61
62#ifndef NO_FP_API
63#include <stdio.h> /* FILE */
64#endif
65#include <openssl/opensslconf.h>
66
67#ifdef  __cplusplus
68extern "C" {
69#endif
70
71#ifdef VMS
72#undef BN_LLONG /* experimental, so far... */
73#endif
74
75#define BN_MUL_COMBA
76#define BN_SQR_COMBA
77#define BN_RECURSION
78#define RECP_MUL_MOD
79#define MONT_MUL_MOD
80
81/* This next option uses the C libraries (2 word)/(1 word) function.
82 * If it is not defined, I use my C version (which is slower).
83 * The reason for this flag is that when the particular C compiler
84 * library routine is used, and the library is linked with a different
85 * compiler, the library is missing.  This mostly happens when the
86 * library is built with gcc and then linked using normal cc.  This would
87 * be a common occurrence because gcc normally produces code that is
88 * 2 times faster than system compilers for the big number stuff.
89 * For machines with only one compiler (or shared libraries), this should
90 * be on.  Again this in only really a problem on machines
91 * using "long long's", are 32bit, and are not using my assembler code. */
92#if defined(MSDOS) || defined(WINDOWS) || defined(WIN32) || defined(linux)
93# ifndef BN_DIV2W
94#  define BN_DIV2W
95# endif
96#endif
97
98/* assuming long is 64bit - this is the DEC Alpha
99 * unsigned long long is only 64 bits :-(, don't define
100 * BN_LLONG for the DEC Alpha */
101#ifdef SIXTY_FOUR_BIT_LONG
102#define BN_ULLONG	unsigned long long
103#define BN_ULONG	unsigned long
104#define BN_LONG		long
105#define BN_BITS		128
106#define BN_BYTES	8
107#define BN_BITS2	64
108#define BN_BITS4	32
109#define BN_MASK		(0xffffffffffffffffffffffffffffffffLL)
110#define BN_MASK2	(0xffffffffffffffffL)
111#define BN_MASK2l	(0xffffffffL)
112#define BN_MASK2h	(0xffffffff00000000L)
113#define BN_MASK2h1	(0xffffffff80000000L)
114#define BN_TBIT		(0x8000000000000000L)
115#define BN_DEC_CONV	(10000000000000000000UL)
116#define BN_DEC_FMT1	"%lu"
117#define BN_DEC_FMT2	"%019lu"
118#define BN_DEC_NUM	19
119#endif
120
121/* This is where the long long data type is 64 bits, but long is 32.
122 * For machines where there are 64bit registers, this is the mode to use.
123 * IRIX, on R4000 and above should use this mode, along with the relevant
124 * assembler code :-).  Do NOT define BN_LLONG.
125 */
126#ifdef SIXTY_FOUR_BIT
127#undef BN_LLONG
128#undef BN_ULLONG
129#define BN_ULONG	unsigned long long
130#define BN_LONG		long long
131#define BN_BITS		128
132#define BN_BYTES	8
133#define BN_BITS2	64
134#define BN_BITS4	32
135#define BN_MASK2	(0xffffffffffffffffLL)
136#define BN_MASK2l	(0xffffffffL)
137#define BN_MASK2h	(0xffffffff00000000LL)
138#define BN_MASK2h1	(0xffffffff80000000LL)
139#define BN_TBIT		(0x8000000000000000LL)
140#define BN_DEC_CONV	(10000000000000000000LL)
141#define BN_DEC_FMT1	"%llu"
142#define BN_DEC_FMT2	"%019llu"
143#define BN_DEC_NUM	19
144#endif
145
146#ifdef THIRTY_TWO_BIT
147#if defined(WIN32) && !defined(__GNUC__)
148#define BN_ULLONG	unsigned _int64
149#else
150#define BN_ULLONG	unsigned long long
151#endif
152#define BN_ULONG	unsigned long
153#define BN_LONG		long
154#define BN_BITS		64
155#define BN_BYTES	4
156#define BN_BITS2	32
157#define BN_BITS4	16
158#ifdef _MSC_VER
159/* VC++ doesn't like the LL suffix */
160#define BN_MASK		(0xffffffffffffffffL)
161#else
162#define BN_MASK		(0xffffffffffffffffLL)
163#endif
164#define BN_MASK2	(0xffffffffL)
165#define BN_MASK2l	(0xffff)
166#define BN_MASK2h1	(0xffff8000L)
167#define BN_MASK2h	(0xffff0000L)
168#define BN_TBIT		(0x80000000L)
169#define BN_DEC_CONV	(1000000000L)
170#define BN_DEC_FMT1	"%lu"
171#define BN_DEC_FMT2	"%09lu"
172#define BN_DEC_NUM	9
173#endif
174
175#ifdef SIXTEEN_BIT
176#ifndef BN_DIV2W
177#define BN_DIV2W
178#endif
179#define BN_ULLONG	unsigned long
180#define BN_ULONG	unsigned short
181#define BN_LONG		short
182#define BN_BITS		32
183#define BN_BYTES	2
184#define BN_BITS2	16
185#define BN_BITS4	8
186#define BN_MASK		(0xffffffff)
187#define BN_MASK2	(0xffff)
188#define BN_MASK2l	(0xff)
189#define BN_MASK2h1	(0xff80)
190#define BN_MASK2h	(0xff00)
191#define BN_TBIT		(0x8000)
192#define BN_DEC_CONV	(100000)
193#define BN_DEC_FMT1	"%u"
194#define BN_DEC_FMT2	"%05u"
195#define BN_DEC_NUM	5
196#endif
197
198#ifdef EIGHT_BIT
199#ifndef BN_DIV2W
200#define BN_DIV2W
201#endif
202#define BN_ULLONG	unsigned short
203#define BN_ULONG	unsigned char
204#define BN_LONG		char
205#define BN_BITS		16
206#define BN_BYTES	1
207#define BN_BITS2	8
208#define BN_BITS4	4
209#define BN_MASK		(0xffff)
210#define BN_MASK2	(0xff)
211#define BN_MASK2l	(0xf)
212#define BN_MASK2h1	(0xf8)
213#define BN_MASK2h	(0xf0)
214#define BN_TBIT		(0x80)
215#define BN_DEC_CONV	(100)
216#define BN_DEC_FMT1	"%u"
217#define BN_DEC_FMT2	"%02u"
218#define BN_DEC_NUM	2
219#endif
220
221#define BN_DEFAULT_BITS	1280
222
223#ifdef BIGNUM
224#undef BIGNUM
225#endif
226
227#define BN_FLG_MALLOCED		0x01
228#define BN_FLG_STATIC_DATA	0x02
229#define BN_FLG_FREE		0x8000	/* used for debuging */
230#define BN_set_flags(b,n)	((b)->flags|=(n))
231#define BN_get_flags(b,n)	((b)->flags&(n))
232
233typedef struct bignum_st
234	{
235	BN_ULONG *d;	/* Pointer to an array of 'BN_BITS2' bit chunks. */
236	int top;	/* Index of last used d +1. */
237	/* The next are internal book keeping for bn_expand. */
238	int dmax;	/* Size of the d array. */
239	int neg;	/* one if the number is negative */
240	int flags;
241	} BIGNUM;
242
243/* Used for temp variables */
244#define BN_CTX_NUM	16
245#define BN_CTX_NUM_POS	12
246typedef struct bignum_ctx
247	{
248	int tos;
249	BIGNUM bn[BN_CTX_NUM];
250	int flags;
251	int depth;
252	int pos[BN_CTX_NUM_POS];
253	int too_many;
254	} BN_CTX;
255
256typedef struct bn_blinding_st
257	{
258	int init;
259	BIGNUM *A;
260	BIGNUM *Ai;
261	BIGNUM *mod; /* just a reference */
262	} BN_BLINDING;
263
264/* Used for montgomery multiplication */
265typedef struct bn_mont_ctx_st
266	{
267	int ri;        /* number of bits in R */
268	BIGNUM RR;     /* used to convert to montgomery form */
269	BIGNUM N;      /* The modulus */
270	BIGNUM Ni;     /* R*(1/R mod N) - N*Ni = 1
271	                * (Ni is only stored for bignum algorithm) */
272	BN_ULONG n0;   /* least significant word of Ni */
273	int flags;
274	} BN_MONT_CTX;
275
276/* Used for reciprocal division/mod functions
277 * It cannot be shared between threads
278 */
279typedef struct bn_recp_ctx_st
280	{
281	BIGNUM N;	/* the divisor */
282	BIGNUM Nr;	/* the reciprocal */
283	int num_bits;
284	int shift;
285	int flags;
286	} BN_RECP_CTX;
287
288#define BN_to_montgomery(r,a,mont,ctx)	BN_mod_mul_montgomery(\
289	r,a,&((mont)->RR),(mont),ctx)
290
291#define BN_prime_checks 0 /* default: select number of iterations
292			     based on the size of the number */
293
294/* number of Miller-Rabin iterations for an error rate  of less than 2^-80
295 * for random 'b'-bit input, b >= 100 (taken from table 4.4 in the Handbook
296 * of Applied Cryptography [Menezes, van Oorschot, Vanstone; CRC Press 1996];
297 * original paper: Damgaard, Landrock, Pomerance: Average case error estimates
298 * for the strong probable prime test. -- Math. Comp. 61 (1993) 177-194) */
299#define BN_prime_checks_for_size(b) ((b) >= 1300 ?  2 : \
300                                (b) >=  850 ?  3 : \
301                                (b) >=  650 ?  4 : \
302                                (b) >=  550 ?  5 : \
303                                (b) >=  450 ?  6 : \
304                                (b) >=  400 ?  7 : \
305                                (b) >=  350 ?  8 : \
306                                (b) >=  300 ?  9 : \
307                                (b) >=  250 ? 12 : \
308                                (b) >=  200 ? 15 : \
309                                (b) >=  150 ? 18 : \
310                                /* b >= 100 */ 27)
311
312#define BN_num_bytes(a)	((BN_num_bits(a)+7)/8)
313#define BN_is_word(a,w)	(((a)->top == 1) && ((a)->d[0] == (BN_ULONG)(w)))
314#define BN_is_zero(a)	(((a)->top == 0) || BN_is_word(a,0))
315#define BN_is_one(a)	(BN_is_word((a),1))
316#define BN_is_odd(a)	(((a)->top > 0) && ((a)->d[0] & 1))
317#define BN_one(a)	(BN_set_word((a),1))
318#define BN_zero(a)	(BN_set_word((a),0))
319
320/*#define BN_ascii2bn(a)	BN_hex2bn(a) */
321/*#define BN_bn2ascii(a)	BN_bn2hex(a) */
322
323BIGNUM *BN_value_one(void);
324char *	BN_options(void);
325BN_CTX *BN_CTX_new(void);
326void	BN_CTX_init(BN_CTX *c);
327void	BN_CTX_free(BN_CTX *c);
328void	BN_CTX_start(BN_CTX *ctx);
329BIGNUM *BN_CTX_get(BN_CTX *ctx);
330void	BN_CTX_end(BN_CTX *ctx);
331int     BN_rand(BIGNUM *rnd, int bits, int top,int bottom);
332int     BN_pseudo_rand(BIGNUM *rnd, int bits, int top,int bottom);
333int	BN_rand_range(BIGNUM *rnd, BIGNUM *range);
334int	BN_pseudo_rand_range(BIGNUM *rnd, BIGNUM *range);
335int	BN_num_bits(const BIGNUM *a);
336int	BN_num_bits_word(BN_ULONG);
337BIGNUM *BN_new(void);
338void	BN_init(BIGNUM *);
339void	BN_clear_free(BIGNUM *a);
340BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b);
341BIGNUM *BN_bin2bn(const unsigned char *s,int len,BIGNUM *ret);
342int	BN_bn2bin(const BIGNUM *a, unsigned char *to);
343BIGNUM *BN_mpi2bn(unsigned char *s,int len,BIGNUM *ret);
344int	BN_bn2mpi(const BIGNUM *a, unsigned char *to);
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);
348int	BN_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
349int	BN_mod(BIGNUM *rem, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx);
350int	BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, const BIGNUM *d,
351	       BN_CTX *ctx);
352int	BN_mul(BIGNUM *r, BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
353int	BN_sqr(BIGNUM *r, BIGNUM *a,BN_CTX *ctx);
354BN_ULONG BN_mod_word(const BIGNUM *a, BN_ULONG w);
355BN_ULONG BN_div_word(BIGNUM *a, BN_ULONG w);
356int	BN_mul_word(BIGNUM *a, BN_ULONG w);
357int	BN_add_word(BIGNUM *a, BN_ULONG w);
358int	BN_sub_word(BIGNUM *a, BN_ULONG w);
359int	BN_set_word(BIGNUM *a, BN_ULONG w);
360BN_ULONG BN_get_word(BIGNUM *a);
361int	BN_cmp(const BIGNUM *a, const BIGNUM *b);
362void	BN_free(BIGNUM *a);
363int	BN_is_bit_set(const BIGNUM *a, int n);
364int	BN_lshift(BIGNUM *r, const BIGNUM *a, int n);
365int	BN_lshift1(BIGNUM *r, BIGNUM *a);
366int	BN_exp(BIGNUM *r, BIGNUM *a, BIGNUM *p,BN_CTX *ctx);
367int	BN_mod_exp(BIGNUM *r, BIGNUM *a, const BIGNUM *p,
368		   const BIGNUM *m,BN_CTX *ctx);
369int	BN_mod_exp_mont(BIGNUM *r, BIGNUM *a, const BIGNUM *p,
370			const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx);
371int	BN_mod_exp_mont_word(BIGNUM *r, BN_ULONG a, const BIGNUM *p,
372			const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx);
373int	BN_mod_exp2_mont(BIGNUM *r, BIGNUM *a1, BIGNUM *p1,BIGNUM *a2,
374		BIGNUM *p2,BIGNUM *m,BN_CTX *ctx,BN_MONT_CTX *m_ctx);
375int	BN_mod_exp_simple(BIGNUM *r, BIGNUM *a, BIGNUM *p,
376	BIGNUM *m,BN_CTX *ctx);
377int	BN_mask_bits(BIGNUM *a,int n);
378int	BN_mod_mul(BIGNUM *ret, BIGNUM *a, BIGNUM *b, const BIGNUM *m, BN_CTX *ctx);
379#ifndef NO_FP_API
380int	BN_print_fp(FILE *fp, const BIGNUM *a);
381#endif
382#ifdef HEADER_BIO_H
383int	BN_print(BIO *fp, const BIGNUM *a);
384#else
385int	BN_print(void *fp, const BIGNUM *a);
386#endif
387int	BN_reciprocal(BIGNUM *r, BIGNUM *m, int len, BN_CTX *ctx);
388int	BN_rshift(BIGNUM *r, BIGNUM *a, int n);
389int	BN_rshift1(BIGNUM *r, BIGNUM *a);
390void	BN_clear(BIGNUM *a);
391BIGNUM *BN_dup(const BIGNUM *a);
392int	BN_ucmp(const BIGNUM *a, const BIGNUM *b);
393int	BN_set_bit(BIGNUM *a, int n);
394int	BN_clear_bit(BIGNUM *a, int n);
395char *	BN_bn2hex(const BIGNUM *a);
396char *	BN_bn2dec(const BIGNUM *a);
397int 	BN_hex2bn(BIGNUM **a, const char *str);
398int 	BN_dec2bn(BIGNUM **a, const char *str);
399int	BN_gcd(BIGNUM *r,BIGNUM *in_a,BIGNUM *in_b,BN_CTX *ctx);
400BIGNUM *BN_mod_inverse(BIGNUM *ret,BIGNUM *a, const BIGNUM *n,BN_CTX *ctx);
401BIGNUM *BN_generate_prime(BIGNUM *ret,int bits,int safe,BIGNUM *add,
402		BIGNUM *rem,void (*callback)(int,int,void *),void *cb_arg);
403int	BN_is_prime(const BIGNUM *p,int nchecks,
404		void (*callback)(int,int,void *),
405		BN_CTX *ctx,void *cb_arg);
406int	BN_is_prime_fasttest(const BIGNUM *p,int nchecks,
407		void (*callback)(int,int,void *),BN_CTX *ctx,void *cb_arg,
408		int do_trial_division);
409
410BN_MONT_CTX *BN_MONT_CTX_new(void );
411void BN_MONT_CTX_init(BN_MONT_CTX *ctx);
412int BN_mod_mul_montgomery(BIGNUM *r,BIGNUM *a,BIGNUM *b,BN_MONT_CTX *mont,
413			  BN_CTX *ctx);
414int BN_from_montgomery(BIGNUM *r,BIGNUM *a,BN_MONT_CTX *mont,BN_CTX *ctx);
415void BN_MONT_CTX_free(BN_MONT_CTX *mont);
416int BN_MONT_CTX_set(BN_MONT_CTX *mont,const BIGNUM *modulus,BN_CTX *ctx);
417BN_MONT_CTX *BN_MONT_CTX_copy(BN_MONT_CTX *to,BN_MONT_CTX *from);
418
419BN_BLINDING *BN_BLINDING_new(BIGNUM *A,BIGNUM *Ai,BIGNUM *mod);
420void BN_BLINDING_free(BN_BLINDING *b);
421int BN_BLINDING_update(BN_BLINDING *b,BN_CTX *ctx);
422int BN_BLINDING_convert(BIGNUM *n, BN_BLINDING *r, BN_CTX *ctx);
423int BN_BLINDING_invert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx);
424
425void BN_set_params(int mul,int high,int low,int mont);
426int BN_get_params(int which); /* 0, mul, 1 high, 2 low, 3 mont */
427
428void	BN_RECP_CTX_init(BN_RECP_CTX *recp);
429BN_RECP_CTX *BN_RECP_CTX_new(void);
430void	BN_RECP_CTX_free(BN_RECP_CTX *recp);
431int	BN_RECP_CTX_set(BN_RECP_CTX *recp,const BIGNUM *rdiv,BN_CTX *ctx);
432int	BN_mod_mul_reciprocal(BIGNUM *r, BIGNUM *x, BIGNUM *y,
433		BN_RECP_CTX *recp,BN_CTX *ctx);
434int	BN_mod_exp_recp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
435			const BIGNUM *m, BN_CTX *ctx);
436int	BN_div_recp(BIGNUM *dv, BIGNUM *rem, BIGNUM *m,
437		BN_RECP_CTX *recp, BN_CTX *ctx);
438
439/* library internal functions */
440
441#define bn_expand(a,bits) ((((((bits+BN_BITS2-1))/BN_BITS2)) <= (a)->dmax)?\
442	(a):bn_expand2((a),(bits)/BN_BITS2+1))
443#define bn_wexpand(a,words) (((words) <= (a)->dmax)?(a):bn_expand2((a),(words)))
444BIGNUM *bn_expand2(BIGNUM *a, int words);
445
446#define bn_fix_top(a) \
447        { \
448        BN_ULONG *ftl; \
449	if ((a)->top > 0) \
450		{ \
451		for (ftl= &((a)->d[(a)->top-1]); (a)->top > 0; (a)->top--) \
452		if (*(ftl--)) break; \
453		} \
454	}
455
456BN_ULONG bn_mul_add_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w);
457BN_ULONG bn_mul_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w);
458void     bn_sqr_words(BN_ULONG *rp, BN_ULONG *ap, int num);
459BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d);
460BN_ULONG bn_add_words(BN_ULONG *rp, BN_ULONG *ap, BN_ULONG *bp,int num);
461BN_ULONG bn_sub_words(BN_ULONG *rp, BN_ULONG *ap, BN_ULONG *bp,int num);
462
463#ifdef BN_DEBUG
464  void bn_dump1(FILE *o, const char *a, BN_ULONG *b,int n);
465# define bn_print(a) {fprintf(stderr, #a "="); BN_print_fp(stderr,a); \
466   fprintf(stderr,"\n");}
467# define bn_dump(a,n) bn_dump1(stderr,#a,a,n);
468#else
469# define bn_print(a)
470# define bn_dump(a,b)
471#endif
472
473int BN_bntest_rand(BIGNUM *rnd, int bits, int top,int bottom);
474
475/* BEGIN ERROR CODES */
476/* The following lines are auto generated by the script mkerr.pl. Any changes
477 * made after this point may be overwritten when the script is next run.
478 */
479void ERR_load_BN_strings(void);
480
481/* Error codes for the BN functions. */
482
483/* Function codes. */
484#define BN_F_BN_BLINDING_CONVERT			 100
485#define BN_F_BN_BLINDING_INVERT				 101
486#define BN_F_BN_BLINDING_NEW				 102
487#define BN_F_BN_BLINDING_UPDATE				 103
488#define BN_F_BN_BN2DEC					 104
489#define BN_F_BN_BN2HEX					 105
490#define BN_F_BN_CTX_GET					 116
491#define BN_F_BN_CTX_NEW					 106
492#define BN_F_BN_DIV					 107
493#define BN_F_BN_EXPAND2					 108
494#define BN_F_BN_MOD_EXP2_MONT				 118
495#define BN_F_BN_MOD_EXP_MONT				 109
496#define BN_F_BN_MOD_EXP_MONT_WORD			 117
497#define BN_F_BN_MOD_INVERSE				 110
498#define BN_F_BN_MOD_MUL_RECIPROCAL			 111
499#define BN_F_BN_MPI2BN					 112
500#define BN_F_BN_NEW					 113
501#define BN_F_BN_RAND					 114
502#define BN_F_BN_RAND_RANGE				 122
503#define BN_F_BN_USUB					 115
504
505/* Reason codes. */
506#define BN_R_ARG2_LT_ARG3				 100
507#define BN_R_BAD_RECIPROCAL				 101
508#define BN_R_BIGNUM_TOO_LONG				 114
509#define BN_R_CALLED_WITH_EVEN_MODULUS			 102
510#define BN_R_DIV_BY_ZERO				 103
511#define BN_R_ENCODING_ERROR				 104
512#define BN_R_EXPAND_ON_STATIC_BIGNUM_DATA		 105
513#define BN_R_INVALID_LENGTH				 106
514#define BN_R_INVALID_RANGE				 115
515#define BN_R_NOT_INITIALIZED				 107
516#define BN_R_NO_INVERSE					 108
517#define BN_R_TOO_MANY_TEMPORARY_VARIABLES		 109
518
519#ifdef  __cplusplus
520}
521#endif
522#endif
523