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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 | ||
de42b6a7 | 62 | #ifndef 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 |
68 | extern "C" { | |
69 | #endif | |
70 | ||
7d7d2cbc UM |
71 | #ifdef VMS |
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. */ |
f1a617ed | 90 | #if defined(MSDOS) || defined(WINDOWS) || defined(WIN32) || defined(linux) |
227385b7 | 91 | #undef BN_DIV2W |
d02b48c6 RE |
92 | #define BN_DIV2W |
93 | #endif | |
94 | ||
d02b48c6 RE |
95 | /* assuming long is 64bit - this is the DEC Alpha |
96 | * unsigned long long is only 64 bits :-(, don't define | |
97 | * BN_LLONG for the DEC Alpha */ | |
98 | #ifdef SIXTY_FOUR_BIT_LONG | |
99 | #define BN_ULLONG unsigned long long | |
100 | #define BN_ULONG unsigned long | |
101 | #define BN_LONG long | |
102 | #define BN_BITS 128 | |
103 | #define BN_BYTES 8 | |
104 | #define BN_BITS2 64 | |
105 | #define BN_BITS4 32 | |
dfeab068 | 106 | #define BN_MASK (0xffffffffffffffffffffffffffffffffLL) |
d02b48c6 RE |
107 | #define BN_MASK2 (0xffffffffffffffffL) |
108 | #define BN_MASK2l (0xffffffffL) | |
109 | #define BN_MASK2h (0xffffffff00000000L) | |
110 | #define BN_MASK2h1 (0xffffffff80000000L) | |
111 | #define BN_TBIT (0x8000000000000000L) | |
dfeab068 | 112 | #define BN_DEC_CONV (10000000000000000000UL) |
58964a49 RE |
113 | #define BN_DEC_FMT1 "%lu" |
114 | #define BN_DEC_FMT2 "%019lu" | |
115 | #define BN_DEC_NUM 19 | |
d02b48c6 RE |
116 | #endif |
117 | ||
dfeab068 RE |
118 | /* This is where the long long data type is 64 bits, but long is 32. |
119 | * For machines where there are 64bit registers, this is the mode to use. | |
657e60fa UM |
120 | * IRIX, on R4000 and above should use this mode, along with the relevant |
121 | * assembler code :-). Do NOT define BN_LLONG. | |
dfeab068 | 122 | */ |
d02b48c6 | 123 | #ifdef SIXTY_FOUR_BIT |
e14d4443 UM |
124 | #undef BN_LLONG |
125 | #undef BN_ULLONG | |
d02b48c6 RE |
126 | #define BN_ULONG unsigned long long |
127 | #define BN_LONG long long | |
128 | #define BN_BITS 128 | |
129 | #define BN_BYTES 8 | |
130 | #define BN_BITS2 64 | |
131 | #define BN_BITS4 32 | |
132 | #define BN_MASK2 (0xffffffffffffffffLL) | |
133 | #define BN_MASK2l (0xffffffffL) | |
134 | #define BN_MASK2h (0xffffffff00000000LL) | |
135 | #define BN_MASK2h1 (0xffffffff80000000LL) | |
136 | #define BN_TBIT (0x8000000000000000LL) | |
dfeab068 RE |
137 | #define BN_DEC_CONV (10000000000000000000LL) |
138 | #define BN_DEC_FMT1 "%llu" | |
139 | #define BN_DEC_FMT2 "%019llu" | |
58964a49 | 140 | #define BN_DEC_NUM 19 |
d02b48c6 RE |
141 | #endif |
142 | ||
143 | #ifdef THIRTY_TWO_BIT | |
e3718280 | 144 | #if defined(WIN32) && !defined(__GNUC__) |
d02b48c6 RE |
145 | #define BN_ULLONG unsigned _int64 |
146 | #else | |
147 | #define BN_ULLONG unsigned long long | |
148 | #endif | |
149 | #define BN_ULONG unsigned long | |
150 | #define BN_LONG long | |
151 | #define BN_BITS 64 | |
152 | #define BN_BYTES 4 | |
153 | #define BN_BITS2 32 | |
154 | #define BN_BITS4 16 | |
9b3086fe DSH |
155 | #ifdef WIN32 |
156 | /* VC++ doesn't like the LL suffix */ | |
157 | #define BN_MASK (0xffffffffffffffffL) | |
158 | #else | |
dfeab068 | 159 | #define BN_MASK (0xffffffffffffffffLL) |
9b3086fe | 160 | #endif |
d02b48c6 RE |
161 | #define BN_MASK2 (0xffffffffL) |
162 | #define BN_MASK2l (0xffff) | |
163 | #define BN_MASK2h1 (0xffff8000L) | |
164 | #define BN_MASK2h (0xffff0000L) | |
165 | #define BN_TBIT (0x80000000L) | |
58964a49 RE |
166 | #define BN_DEC_CONV (1000000000L) |
167 | #define BN_DEC_FMT1 "%lu" | |
168 | #define BN_DEC_FMT2 "%09lu" | |
169 | #define BN_DEC_NUM 9 | |
d02b48c6 RE |
170 | #endif |
171 | ||
172 | #ifdef SIXTEEN_BIT | |
173 | #ifndef BN_DIV2W | |
174 | #define BN_DIV2W | |
175 | #endif | |
176 | #define BN_ULLONG unsigned long | |
177 | #define BN_ULONG unsigned short | |
178 | #define BN_LONG short | |
179 | #define BN_BITS 32 | |
180 | #define BN_BYTES 2 | |
181 | #define BN_BITS2 16 | |
182 | #define BN_BITS4 8 | |
dfeab068 | 183 | #define BN_MASK (0xffffffff) |
d02b48c6 RE |
184 | #define BN_MASK2 (0xffff) |
185 | #define BN_MASK2l (0xff) | |
186 | #define BN_MASK2h1 (0xff80) | |
187 | #define BN_MASK2h (0xff00) | |
188 | #define BN_TBIT (0x8000) | |
58964a49 RE |
189 | #define BN_DEC_CONV (100000) |
190 | #define BN_DEC_FMT1 "%u" | |
191 | #define BN_DEC_FMT2 "%05u" | |
192 | #define BN_DEC_NUM 5 | |
d02b48c6 RE |
193 | #endif |
194 | ||
195 | #ifdef EIGHT_BIT | |
196 | #ifndef BN_DIV2W | |
197 | #define BN_DIV2W | |
198 | #endif | |
199 | #define BN_ULLONG unsigned short | |
200 | #define BN_ULONG unsigned char | |
201 | #define BN_LONG char | |
202 | #define BN_BITS 16 | |
203 | #define BN_BYTES 1 | |
204 | #define BN_BITS2 8 | |
205 | #define BN_BITS4 4 | |
dfeab068 | 206 | #define BN_MASK (0xffff) |
d02b48c6 RE |
207 | #define BN_MASK2 (0xff) |
208 | #define BN_MASK2l (0xf) | |
209 | #define BN_MASK2h1 (0xf8) | |
210 | #define BN_MASK2h (0xf0) | |
211 | #define BN_TBIT (0x80) | |
58964a49 RE |
212 | #define BN_DEC_CONV (100) |
213 | #define BN_DEC_FMT1 "%u" | |
214 | #define BN_DEC_FMT2 "%02u" | |
215 | #define BN_DEC_NUM 2 | |
d02b48c6 RE |
216 | #endif |
217 | ||
218 | #define BN_DEFAULT_BITS 1280 | |
219 | ||
220 | #ifdef BIGNUM | |
221 | #undef BIGNUM | |
222 | #endif | |
223 | ||
dfeab068 RE |
224 | #define BN_FLG_MALLOCED 0x01 |
225 | #define BN_FLG_STATIC_DATA 0x02 | |
226 | #define BN_FLG_FREE 0x8000 /* used for debuging */ | |
227 | #define BN_set_flags(b,n) ((b)->flags|=(n)) | |
228 | #define BN_get_flags(b,n) ((b)->flags&(n)) | |
229 | ||
d02b48c6 RE |
230 | typedef struct bignum_st |
231 | { | |
232 | BN_ULONG *d; /* Pointer to an array of 'BN_BITS2' bit chunks. */ | |
233 | int top; /* Index of last used d +1. */ | |
234 | /* The next are internal book keeping for bn_expand. */ | |
2d978cbd | 235 | int dmax; /* Size of the d array. */ |
d02b48c6 | 236 | int neg; /* one if the number is negative */ |
dfeab068 | 237 | int flags; |
d02b48c6 RE |
238 | } BIGNUM; |
239 | ||
240 | /* Used for temp variables */ | |
7f7b8d68 | 241 | #define BN_CTX_NUM 16 |
eb5a6a55 | 242 | #define BN_CTX_NUM_POS 12 |
d02b48c6 RE |
243 | typedef struct bignum_ctx |
244 | { | |
245 | int tos; | |
eb5a6a55 | 246 | BIGNUM bn[BN_CTX_NUM]; |
dfeab068 | 247 | int flags; |
9b141126 | 248 | int depth; |
eb5a6a55 BM |
249 | int pos[BN_CTX_NUM_POS]; |
250 | int too_many; | |
d02b48c6 RE |
251 | } BN_CTX; |
252 | ||
58964a49 RE |
253 | typedef struct bn_blinding_st |
254 | { | |
255 | int init; | |
256 | BIGNUM *A; | |
257 | BIGNUM *Ai; | |
258 | BIGNUM *mod; /* just a reference */ | |
259 | } BN_BLINDING; | |
260 | ||
d02b48c6 RE |
261 | /* Used for montgomery multiplication */ |
262 | typedef struct bn_mont_ctx_st | |
e93f9a32 | 263 | { |
e93f9a32 UM |
264 | int ri; /* number of bits in R */ |
265 | BIGNUM RR; /* used to convert to montgomery form */ | |
266 | BIGNUM N; /* The modulus */ | |
ec1258dd BM |
267 | BIGNUM Ni; /* R*(1/R mod N) - N*Ni = 1 |
268 | * (Ni is only stored for bignum algorithm) */ | |
269 | BN_ULONG n0; /* least significant word of Ni */ | |
dfeab068 | 270 | int flags; |
e93f9a32 | 271 | } BN_MONT_CTX; |
d02b48c6 | 272 | |
dfeab068 RE |
273 | /* Used for reciprocal division/mod functions |
274 | * It cannot be shared between threads | |
275 | */ | |
276 | typedef struct bn_recp_ctx_st | |
277 | { | |
278 | BIGNUM N; /* the divisor */ | |
279 | BIGNUM Nr; /* the reciprocal */ | |
280 | int num_bits; | |
281 | int shift; | |
282 | int flags; | |
283 | } BN_RECP_CTX; | |
284 | ||
4486d0cd UM |
285 | #define BN_prime_checks 0 /* default: select number of iterations |
286 | based on the size of the number */ | |
d02b48c6 | 287 | |
38e33cef UM |
288 | /* number of Miller-Rabin iterations for an error rate of less than 2^-80 |
289 | * for random 'b'-bit input, b >= 100 (taken from table 4.4 in the Handbook | |
290 | * of Applied Cryptography [Menezes, van Oorschot, Vanstone; CRC Press 1996]; | |
291 | * original paper: Damgaard, Landrock, Pomerance: Average case error estimates | |
292 | * for the strong probable prime test. -- Math. Comp. 61 (1993) 177-194) */ | |
a87030a1 | 293 | #define BN_prime_checks_for_size(b) ((b) >= 1300 ? 2 : \ |
38e33cef UM |
294 | (b) >= 850 ? 3 : \ |
295 | (b) >= 650 ? 4 : \ | |
296 | (b) >= 550 ? 5 : \ | |
297 | (b) >= 450 ? 6 : \ | |
298 | (b) >= 400 ? 7 : \ | |
299 | (b) >= 350 ? 8 : \ | |
300 | (b) >= 300 ? 9 : \ | |
301 | (b) >= 250 ? 12 : \ | |
302 | (b) >= 200 ? 15 : \ | |
303 | (b) >= 150 ? 18 : \ | |
304 | /* b >= 100 */ 27) | |
305 | ||
d02b48c6 | 306 | #define BN_num_bytes(a) ((BN_num_bits(a)+7)/8) |
dcbd0d74 BM |
307 | |
308 | /* Note that BN_abs_is_word does not work reliably for w == 0 */ | |
309 | #define BN_abs_is_word(a,w) (((a)->top == 1) && ((a)->d[0] == (BN_ULONG)(w))) | |
310 | #define BN_is_zero(a) (((a)->top == 0) || BN_abs_is_word(a,0)) | |
311 | #define BN_is_one(a) (BN_abs_is_word((a),1) && !(a)->neg) | |
312 | #define BN_is_word(a,w) ((w) ? BN_abs_is_word((a),(w)) && !(a)->neg : \ | |
313 | BN_is_zero((a))) | |
314 | #define BN_is_odd(a) (((a)->top > 0) && ((a)->d[0] & 1)) | |
315 | ||
d02b48c6 RE |
316 | #define BN_one(a) (BN_set_word((a),1)) |
317 | #define BN_zero(a) (BN_set_word((a),0)) | |
318 | ||
dfeab068 RE |
319 | /*#define BN_ascii2bn(a) BN_hex2bn(a) */ |
320 | /*#define BN_bn2ascii(a) BN_bn2hex(a) */ | |
d02b48c6 | 321 | |
d02b48c6 RE |
322 | BIGNUM *BN_value_one(void); |
323 | char * BN_options(void); | |
324 | BN_CTX *BN_CTX_new(void); | |
dfeab068 | 325 | void BN_CTX_init(BN_CTX *c); |
d02b48c6 | 326 | void BN_CTX_free(BN_CTX *c); |
9b141126 UM |
327 | void BN_CTX_start(BN_CTX *ctx); |
328 | BIGNUM *BN_CTX_get(BN_CTX *ctx); | |
329 | void BN_CTX_end(BN_CTX *ctx); | |
d02b48c6 | 330 | int BN_rand(BIGNUM *rnd, int bits, int top,int bottom); |
f95a9f67 | 331 | int BN_pseudo_rand(BIGNUM *rnd, int bits, int top,int bottom); |
84c15db5 | 332 | int BN_num_bits(const BIGNUM *a); |
d02b48c6 RE |
333 | int BN_num_bits_word(BN_ULONG); |
334 | BIGNUM *BN_new(void); | |
dfeab068 | 335 | void BN_init(BIGNUM *); |
d02b48c6 | 336 | void BN_clear_free(BIGNUM *a); |
84c15db5 | 337 | BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b); |
78a0c1f1 | 338 | void BN_swap(BIGNUM *a, BIGNUM *b); |
61f5b6f3 | 339 | BIGNUM *BN_bin2bn(const unsigned char *s,int len,BIGNUM *ret); |
8623f693 | 340 | int BN_bn2bin(const BIGNUM *a, unsigned char *to); |
cbd48ba6 | 341 | BIGNUM *BN_mpi2bn(const unsigned char *s,int len,BIGNUM *ret); |
8623f693 | 342 | int BN_bn2mpi(const BIGNUM *a, unsigned char *to); |
84c15db5 BL |
343 | int BN_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); |
344 | int BN_usub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); | |
345 | int BN_uadd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); | |
dd8dec69 | 346 | int BN_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); |
020fc820 RL |
347 | int BN_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); |
348 | int BN_sqr(BIGNUM *r, const BIGNUM *a,BN_CTX *ctx); | |
5acaa495 | 349 | |
78a0c1f1 BM |
350 | int BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, const BIGNUM *d, |
351 | BN_CTX *ctx); | |
352 | #define BN_mod(rem,m,d,ctx) BN_div(NULL,(rem),(m),(d),(ctx)) | |
5acaa495 BM |
353 | int BN_nnmod(BIGNUM *r, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx); |
354 | int BN_mod_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx); | |
355 | int BN_mod_add_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m); | |
356 | int BN_mod_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx); | |
357 | int BN_mod_sub_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m); | |
358 | int BN_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, | |
78a0c1f1 | 359 | const BIGNUM *m, BN_CTX *ctx); |
5acaa495 BM |
360 | int BN_mod_lshift1(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx); |
361 | int BN_mod_lshift1_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *m); | |
362 | int BN_mod_lshift(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m, BN_CTX *ctx); | |
363 | int BN_mod_lshift_quick(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m); | |
364 | ||
7999c65c | 365 | BN_ULONG BN_mod_word(const BIGNUM *a, BN_ULONG w); |
dfeab068 RE |
366 | BN_ULONG BN_div_word(BIGNUM *a, BN_ULONG w); |
367 | int BN_mul_word(BIGNUM *a, BN_ULONG w); | |
368 | int BN_add_word(BIGNUM *a, BN_ULONG w); | |
369 | int BN_sub_word(BIGNUM *a, BN_ULONG w); | |
370 | int BN_set_word(BIGNUM *a, BN_ULONG w); | |
020fc820 | 371 | BN_ULONG BN_get_word(const BIGNUM *a); |
5acaa495 | 372 | |
84c15db5 | 373 | int BN_cmp(const BIGNUM *a, const BIGNUM *b); |
d02b48c6 | 374 | void BN_free(BIGNUM *a); |
84c15db5 BL |
375 | int BN_is_bit_set(const BIGNUM *a, int n); |
376 | int BN_lshift(BIGNUM *r, const BIGNUM *a, int n); | |
020fc820 RL |
377 | int BN_lshift1(BIGNUM *r, const BIGNUM *a); |
378 | int BN_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,BN_CTX *ctx); | |
5acaa495 | 379 | |
020fc820 RL |
380 | int BN_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, |
381 | const BIGNUM *m,BN_CTX *ctx); | |
382 | int BN_mod_exp_mont(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, | |
383 | const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx); | |
6dad7bd6 | 384 | int BN_mod_exp_mont_word(BIGNUM *r, BN_ULONG a, const BIGNUM *p, |
020fc820 RL |
385 | const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx); |
386 | int BN_mod_exp2_mont(BIGNUM *r, const BIGNUM *a1, const BIGNUM *p1, | |
387 | const BIGNUM *a2, const BIGNUM *p2,const BIGNUM *m, | |
388 | BN_CTX *ctx,BN_MONT_CTX *m_ctx); | |
389 | int BN_mod_exp_simple(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, | |
390 | const BIGNUM *m,BN_CTX *ctx); | |
5acaa495 | 391 | |
d02b48c6 | 392 | int BN_mask_bits(BIGNUM *a,int n); |
775c63fc | 393 | #ifndef NO_FP_API |
e93f9a32 | 394 | int BN_print_fp(FILE *fp, const BIGNUM *a); |
d02b48c6 RE |
395 | #endif |
396 | #ifdef HEADER_BIO_H | |
8d8a8041 | 397 | int BN_print(BIO *fp, const BIGNUM *a); |
d02b48c6 | 398 | #else |
775c63fc | 399 | int BN_print(void *fp, const BIGNUM *a); |
d02b48c6 | 400 | #endif |
020fc820 RL |
401 | int BN_reciprocal(BIGNUM *r, const BIGNUM *m, int len, BN_CTX *ctx); |
402 | int BN_rshift(BIGNUM *r, const BIGNUM *a, int n); | |
403 | int BN_rshift1(BIGNUM *r, const BIGNUM *a); | |
d02b48c6 | 404 | void BN_clear(BIGNUM *a); |
84c15db5 BL |
405 | BIGNUM *BN_dup(const BIGNUM *a); |
406 | int BN_ucmp(const BIGNUM *a, const BIGNUM *b); | |
d02b48c6 RE |
407 | int BN_set_bit(BIGNUM *a, int n); |
408 | int BN_clear_bit(BIGNUM *a, int n); | |
8623f693 DSH |
409 | char * BN_bn2hex(const BIGNUM *a); |
410 | char * BN_bn2dec(const BIGNUM *a); | |
411 | int BN_hex2bn(BIGNUM **a, const char *str); | |
412 | int BN_dec2bn(BIGNUM **a, const char *str); | |
dcbd0d74 BM |
413 | int BN_gcd(BIGNUM *r,const BIGNUM *a,const BIGNUM *b,BN_CTX *ctx); |
414 | int BN_kronecker(const BIGNUM *a,const BIGNUM *b,BN_CTX *ctx); /* returns -2 for error */ | |
020fc820 RL |
415 | BIGNUM *BN_mod_inverse(BIGNUM *ret, |
416 | const BIGNUM *a, const BIGNUM *n,BN_CTX *ctx); | |
417 | BIGNUM *BN_generate_prime(BIGNUM *ret,int bits,int safe, | |
418 | const BIGNUM *add, const BIGNUM *rem, | |
419 | void (*callback)(int,int,void *),void *cb_arg); | |
aff0825c | 420 | int BN_is_prime(const BIGNUM *p,int nchecks, |
227385b7 RL |
421 | void (*callback)(int,int,void *), |
422 | BN_CTX *ctx,void *cb_arg); | |
aff0825c | 423 | int BN_is_prime_fasttest(const BIGNUM *p,int nchecks, |
227385b7 RL |
424 | void (*callback)(int,int,void *),BN_CTX *ctx,void *cb_arg, |
425 | int do_trial_division); | |
d02b48c6 RE |
426 | void ERR_load_BN_strings(void ); |
427 | ||
d02b48c6 | 428 | BN_MONT_CTX *BN_MONT_CTX_new(void ); |
dfeab068 | 429 | void BN_MONT_CTX_init(BN_MONT_CTX *ctx); |
020fc820 RL |
430 | int BN_mod_mul_montgomery(BIGNUM *r,const BIGNUM *a,const BIGNUM *b, |
431 | BN_MONT_CTX *mont, BN_CTX *ctx); | |
78a0c1f1 BM |
432 | #define BN_to_montgomery(r,a,mont,ctx) BN_mod_mul_montgomery(\ |
433 | (r),(a),&((mont)->RR),(mont),(ctx)) | |
cbd48ba6 RL |
434 | int BN_from_montgomery(BIGNUM *r,const BIGNUM *a, |
435 | BN_MONT_CTX *mont, BN_CTX *ctx); | |
d02b48c6 | 436 | void BN_MONT_CTX_free(BN_MONT_CTX *mont); |
84c15db5 | 437 | int BN_MONT_CTX_set(BN_MONT_CTX *mont,const BIGNUM *modulus,BN_CTX *ctx); |
dfeab068 | 438 | BN_MONT_CTX *BN_MONT_CTX_copy(BN_MONT_CTX *to,BN_MONT_CTX *from); |
d02b48c6 | 439 | |
58964a49 RE |
440 | BN_BLINDING *BN_BLINDING_new(BIGNUM *A,BIGNUM *Ai,BIGNUM *mod); |
441 | void BN_BLINDING_free(BN_BLINDING *b); | |
442 | int BN_BLINDING_update(BN_BLINDING *b,BN_CTX *ctx); | |
443 | int BN_BLINDING_convert(BIGNUM *n, BN_BLINDING *r, BN_CTX *ctx); | |
444 | int BN_BLINDING_invert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx); | |
445 | ||
dfeab068 RE |
446 | void BN_set_params(int mul,int high,int low,int mont); |
447 | int BN_get_params(int which); /* 0, mul, 1 high, 2 low, 3 mont */ | |
448 | ||
dfeab068 RE |
449 | void BN_RECP_CTX_init(BN_RECP_CTX *recp); |
450 | BN_RECP_CTX *BN_RECP_CTX_new(void); | |
451 | void BN_RECP_CTX_free(BN_RECP_CTX *recp); | |
84c15db5 | 452 | int BN_RECP_CTX_set(BN_RECP_CTX *recp,const BIGNUM *rdiv,BN_CTX *ctx); |
020fc820 | 453 | int BN_mod_mul_reciprocal(BIGNUM *r, const BIGNUM *x, const BIGNUM *y, |
227385b7 | 454 | BN_RECP_CTX *recp,BN_CTX *ctx); |
84c15db5 | 455 | int BN_mod_exp_recp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, |
227385b7 | 456 | const BIGNUM *m, BN_CTX *ctx); |
020fc820 | 457 | int BN_div_recp(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, |
227385b7 | 458 | BN_RECP_CTX *recp, BN_CTX *ctx); |
dfeab068 | 459 | |
775c63fc UM |
460 | /* library internal functions */ |
461 | ||
2d978cbd | 462 | #define bn_expand(a,bits) ((((((bits+BN_BITS2-1))/BN_BITS2)) <= (a)->dmax)?\ |
775c63fc | 463 | (a):bn_expand2((a),(bits)/BN_BITS2+1)) |
2d978cbd | 464 | #define bn_wexpand(a,words) (((words) <= (a)->dmax)?(a):bn_expand2((a),(words))) |
775c63fc | 465 | BIGNUM *bn_expand2(BIGNUM *a, int words); |
020fc820 | 466 | BIGNUM *bn_dup_expand(const BIGNUM *a, int words); |
775c63fc UM |
467 | |
468 | #define bn_fix_top(a) \ | |
469 | { \ | |
470 | BN_ULONG *ftl; \ | |
471 | if ((a)->top > 0) \ | |
472 | { \ | |
473 | for (ftl= &((a)->d[(a)->top-1]); (a)->top > 0; (a)->top--) \ | |
474 | if (*(ftl--)) break; \ | |
475 | } \ | |
476 | } | |
477 | ||
cbd48ba6 RL |
478 | BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w); |
479 | BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w); | |
480 | void bn_sqr_words(BN_ULONG *rp, const BN_ULONG *ap, int num); | |
775c63fc | 481 | BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d); |
cbd48ba6 RL |
482 | BN_ULONG bn_add_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,int num); |
483 | BN_ULONG bn_sub_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,int num); | |
775c63fc UM |
484 | |
485 | #ifdef BN_DEBUG | |
227385b7 | 486 | void bn_dump1(FILE *o, const char *a, const BN_ULONG *b,int n); |
775c63fc UM |
487 | # define bn_print(a) {fprintf(stderr, #a "="); BN_print_fp(stderr,a); \ |
488 | fprintf(stderr,"\n");} | |
489 | # define bn_dump(a,n) bn_dump1(stderr,#a,a,n); | |
490 | #else | |
491 | # define bn_print(a) | |
492 | # define bn_dump(a,b) | |
493 | #endif | |
dfeab068 | 494 | |
d02b48c6 | 495 | /* BEGIN ERROR CODES */ |
6d311938 DSH |
496 | /* The following lines are auto generated by the script mkerr.pl. Any changes |
497 | * made after this point may be overwritten when the script is next run. | |
498 | */ | |
499 | ||
d02b48c6 RE |
500 | /* Error codes for the BN functions. */ |
501 | ||
502 | /* Function codes. */ | |
58964a49 RE |
503 | #define BN_F_BN_BLINDING_CONVERT 100 |
504 | #define BN_F_BN_BLINDING_INVERT 101 | |
505 | #define BN_F_BN_BLINDING_NEW 102 | |
506 | #define BN_F_BN_BLINDING_UPDATE 103 | |
a0a54079 MC |
507 | #define BN_F_BN_BN2DEC 104 |
508 | #define BN_F_BN_BN2HEX 105 | |
9b141126 | 509 | #define BN_F_BN_CTX_GET 116 |
a0a54079 MC |
510 | #define BN_F_BN_CTX_NEW 106 |
511 | #define BN_F_BN_DIV 107 | |
512 | #define BN_F_BN_EXPAND2 108 | |
dc434bbc | 513 | #define BN_F_BN_MOD_EXP2_MONT 118 |
a0a54079 | 514 | #define BN_F_BN_MOD_EXP_MONT 109 |
6dad7bd6 | 515 | #define BN_F_BN_MOD_EXP_MONT_WORD 117 |
a0a54079 | 516 | #define BN_F_BN_MOD_INVERSE 110 |
5acaa495 | 517 | #define BN_F_BN_MOD_LSHIFT_QUICK 119 |
a0a54079 MC |
518 | #define BN_F_BN_MOD_MUL_RECIPROCAL 111 |
519 | #define BN_F_BN_MPI2BN 112 | |
520 | #define BN_F_BN_NEW 113 | |
521 | #define BN_F_BN_RAND 114 | |
522 | #define BN_F_BN_USUB 115 | |
d02b48c6 RE |
523 | |
524 | /* Reason codes. */ | |
dfeab068 RE |
525 | #define BN_R_ARG2_LT_ARG3 100 |
526 | #define BN_R_BAD_RECIPROCAL 101 | |
527 | #define BN_R_CALLED_WITH_EVEN_MODULUS 102 | |
528 | #define BN_R_DIV_BY_ZERO 103 | |
529 | #define BN_R_ENCODING_ERROR 104 | |
530 | #define BN_R_EXPAND_ON_STATIC_BIGNUM_DATA 105 | |
5acaa495 | 531 | #define BN_R_INPUT_NOT_REDUCED 110 |
dfeab068 | 532 | #define BN_R_INVALID_LENGTH 106 |
df82f5c8 | 533 | #define BN_R_NOT_INITIALIZED 107 |
dfeab068 | 534 | #define BN_R_NO_INVERSE 108 |
9b141126 | 535 | #define BN_R_TOO_MANY_TEMPORARY_VARIABLES 109 |
6d311938 | 536 | |
d02b48c6 RE |
537 | #ifdef __cplusplus |
538 | } | |
539 | #endif | |
540 | #endif | |
5acaa495 | 541 |