/[rdesktop]/sourceforge.net/trunk/rdesktop/crypto/bn.h
This is repository of my old source code which isn't updated any more. Go to git.rot13.org for current projects!
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Annotation of /sourceforge.net/trunk/rdesktop/crypto/bn.h

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Revision 32 - (hide annotations)
Sat Sep 15 09:37:17 2001 UTC (22 years, 8 months ago) by matty
File MIME type: text/plain
File size: 17423 byte(s)
Synced crypto/ with latest OpenSSL.
Moved to OpenSSL big number routines to resolve licensing issues
with current code (although they add more bloat).

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

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