2 * FILE: d0_bignum-gmp.c
3 * AUTHOR: Rudolf Polzer - divVerent@xonotic.org
5 * Copyright (c) 2010, Rudolf Polzer
8 * Redistribution and use in source and binary forms, with or without
9 * modification, are permitted provided that the following conditions
11 * 1. Redistributions of source code must retain the above copyright
12 * notice, this list of conditions and the following disclaimer.
13 * 2. Redistributions in binary form must reproduce the above copyright
14 * notice, this list of conditions and the following disclaimer in the
15 * documentation and/or other materials provided with the distribution.
16 * 3. Neither the name of the copyright holder nor the names of contributors
17 * may be used to endorse or promote products derived from this software
18 * without specific prior written permission.
20 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTOR(S) ``AS IS'' AND
21 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
22 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
23 * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTOR(S) BE LIABLE
24 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
25 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
26 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
27 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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29 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
36 /* NOTE: this file links against libgmp (http://gmplib.org), which is under the
37 * Lesser General Public License 2.1 or later. You may have to abide to its
38 * terms too if you use this file.
39 * To alternatively link to OpenSSL, provide the option --with-openssl to
48 #include "d0_bignum.h"
59 static gmp_randstate_t RANDSTATE;
60 static d0_bignum_t temp;
61 static unsigned char numbuf[65536];
62 static void *tempmutex = NULL; // hold this mutex when using RANDSTATE or temp or numbuf
67 static void *allocate_function (size_t alloc_size)
69 return d0_malloc(alloc_size);
71 static void *reallocate_function (void *ptr, size_t old_size, size_t new_size)
74 if(old_size == new_size)
76 data = d0_malloc(new_size);
78 memcpy(data, ptr, (old_size < new_size) ? old_size : new_size);
82 void deallocate_function (void *ptr, size_t size)
87 D0_WARN_UNUSED_RESULT D0_BOOL d0_bignum_INITIALIZE(void)
91 unsigned char buf[256];
93 tempmutex = d0_createmutex();
94 d0_lockmutex(tempmutex);
96 mp_set_memory_functions(allocate_function, reallocate_function, deallocate_function);
98 d0_bignum_init(&temp);
99 gmp_randinit_mt(RANDSTATE);
100 gmp_randseed_ui(RANDSTATE, time(NULL));
101 * (time_t *) (&buf[0]) = time(0); // if everything else fails, we use the current time + uninitialized data
104 HCRYPTPROV hCryptProv;
105 if(CryptAcquireContext(&hCryptProv, NULL, NULL, PROV_RSA_FULL, CRYPT_VERIFYCONTEXT))
107 if(!CryptGenRandom(hCryptProv, sizeof(buf), (PBYTE) &buf[0]))
109 fprintf(stderr, "WARNING: could not initialize random number generator (CryptGenRandom failed)\n");
112 CryptReleaseContext(hCryptProv, 0);
114 else if(CryptAcquireContext(&hCryptProv, NULL, NULL, PROV_RSA_FULL, CRYPT_VERIFYCONTEXT | CRYPT_NEWKEYSET))
116 if(!CryptGenRandom(hCryptProv, sizeof(buf), (PBYTE) &buf[0]))
118 fprintf(stderr, "WARNING: could not initialize random number generator (CryptGenRandom failed)\n");
121 CryptReleaseContext(hCryptProv, 0);
125 fprintf(stderr, "WARNING: could not initialize random number generator (CryptAcquireContext failed)\n");
130 f = fopen("/dev/urandom", "rb");
132 f = fopen("/dev/random", "rb");
136 if(fread(buf, sizeof(buf), 1, f) != 1)
138 fprintf(stderr, "WARNING: could not initialize random number generator (read from random device failed)\n");
145 fprintf(stderr, "WARNING: could not initialize random number generator (no random device found)\n");
150 mpz_import(temp.z, sizeof(buf), 1, 1, 0, 0, buf);
151 gmp_randseed(RANDSTATE, temp.z);
153 d0_unlockmutex(tempmutex);
158 void d0_bignum_SHUTDOWN(void)
160 d0_lockmutex(tempmutex);
162 d0_bignum_clear(&temp);
163 gmp_randclear(RANDSTATE);
165 d0_unlockmutex(tempmutex);
166 d0_destroymutex(tempmutex);
170 D0_BOOL d0_iobuf_write_bignum(d0_iobuf_t *buf, const d0_bignum_t *bignum)
175 d0_lockmutex(tempmutex);
176 numbuf[0] = mpz_sgn(bignum->z) & 3;
177 if((numbuf[0] & 3) != 0) // nonzero
179 count = (mpz_sizeinbase(bignum->z, 2) + 7) / 8;
180 if(count > sizeof(numbuf) - 1)
182 d0_unlockmutex(tempmutex);
185 mpz_export(numbuf+1, &count, 1, 1, 0, 0, bignum->z);
187 ret = d0_iobuf_write_packet(buf, numbuf, count + 1);
188 d0_unlockmutex(tempmutex);
192 d0_bignum_t *d0_iobuf_read_bignum(d0_iobuf_t *buf, d0_bignum_t *bignum)
194 size_t count = sizeof(numbuf);
196 d0_lockmutex(tempmutex);
197 if(!d0_iobuf_read_packet(buf, numbuf, &count))
199 d0_unlockmutex(tempmutex);
204 d0_unlockmutex(tempmutex);
208 bignum = d0_bignum_new();
211 d0_unlockmutex(tempmutex);
214 if(numbuf[0] & 3) // nonzero
216 mpz_import(bignum->z, count-1, 1, 1, 0, 0, numbuf+1);
217 if(numbuf[0] & 2) // negative
218 mpz_neg(bignum->z, bignum->z);
222 mpz_set_ui(bignum->z, 0);
224 d0_unlockmutex(tempmutex);
228 ssize_t d0_bignum_export_unsigned(const d0_bignum_t *bignum, void *buf, size_t bufsize)
231 count = (mpz_sizeinbase(bignum->z, 2) + 7) / 8;
236 // pad from left (big endian numbers!)
237 memset(buf, 0, bufsize - count);
238 buf += bufsize - count;
241 mpz_export(buf, &bufsize, 1, 1, 0, 0, bignum->z);
245 // mpz_sizeinbase lied to us
247 // there is no sane way whatsoever to handle this
253 // mpz_sizeinbase lied to us
257 memset(buf, 0, count);
261 memmove(buf + count - bufsize, buf, bufsize);
262 memset(buf, 0, count - bufsize);
268 d0_bignum_t *d0_bignum_import_unsigned(d0_bignum_t *bignum, const void *buf, size_t bufsize)
271 if(!bignum) bignum = d0_bignum_new(); if(!bignum) return NULL;
272 mpz_import(bignum->z, bufsize, 1, 1, 0, 0, buf);
276 d0_bignum_t *d0_bignum_new(void)
278 d0_bignum_t *b = d0_malloc(sizeof(d0_bignum_t));
283 void d0_bignum_free(d0_bignum_t *a)
289 void d0_bignum_init(d0_bignum_t *b)
294 void d0_bignum_clear(d0_bignum_t *a)
299 size_t d0_bignum_size(const d0_bignum_t *r)
301 return mpz_sizeinbase(r->z, 2);
304 int d0_bignum_cmp(const d0_bignum_t *a, const d0_bignum_t *b)
306 return mpz_cmp(a->z, b->z);
309 d0_bignum_t *d0_bignum_rand_range(d0_bignum_t *r, const d0_bignum_t *min, const d0_bignum_t *max)
311 if(!r) r = d0_bignum_new(); if(!r) return NULL;
312 d0_lockmutex(tempmutex);
313 mpz_sub(temp.z, max->z, min->z);
314 mpz_urandomm(r->z, RANDSTATE, temp.z);
315 d0_unlockmutex(tempmutex);
316 mpz_add(r->z, r->z, min->z);
320 d0_bignum_t *d0_bignum_rand_bit_atmost(d0_bignum_t *r, size_t n)
322 if(!r) r = d0_bignum_new(); if(!r) return NULL;
323 d0_lockmutex(tempmutex);
324 mpz_urandomb(r->z, RANDSTATE, n);
325 d0_unlockmutex(tempmutex);
329 d0_bignum_t *d0_bignum_rand_bit_exact(d0_bignum_t *r, size_t n)
331 if(!r) r = d0_bignum_new(); if(!r) return NULL;
332 d0_lockmutex(tempmutex);
333 mpz_urandomb(r->z, RANDSTATE, n-1);
334 d0_unlockmutex(tempmutex);
335 mpz_setbit(r->z, n-1);
339 d0_bignum_t *d0_bignum_zero(d0_bignum_t *r)
341 return d0_bignum_int(r, 0);
344 d0_bignum_t *d0_bignum_one(d0_bignum_t *r)
346 return d0_bignum_int(r, 1);
349 d0_bignum_t *d0_bignum_int(d0_bignum_t *r, int n)
351 if(!r) r = d0_bignum_new(); if(!r) return NULL;
356 d0_bignum_t *d0_bignum_mov(d0_bignum_t *r, const d0_bignum_t *a)
360 if(!r) r = d0_bignum_new(); if(!r) return NULL;
365 d0_bignum_t *d0_bignum_neg(d0_bignum_t *r, const d0_bignum_t *a)
367 if(!r) r = d0_bignum_new(); if(!r) return NULL;
372 d0_bignum_t *d0_bignum_shl(d0_bignum_t *r, const d0_bignum_t *a, ssize_t n)
374 if(!r) r = d0_bignum_new(); if(!r) return NULL;
376 mpz_mul_2exp(r->z, a->z, n);
378 mpz_fdiv_q_2exp(r->z, a->z, -n);
384 d0_bignum_t *d0_bignum_add(d0_bignum_t *r, const d0_bignum_t *a, const d0_bignum_t *b)
386 if(!r) r = d0_bignum_new(); if(!r) return NULL;
387 mpz_add(r->z, a->z, b->z);
391 d0_bignum_t *d0_bignum_sub(d0_bignum_t *r, const d0_bignum_t *a, const d0_bignum_t *b)
393 if(!r) r = d0_bignum_new(); if(!r) return NULL;
394 mpz_sub(r->z, a->z, b->z);
398 d0_bignum_t *d0_bignum_mul(d0_bignum_t *r, const d0_bignum_t *a, const d0_bignum_t *b)
400 if(!r) r = d0_bignum_new(); if(!r) return NULL;
401 mpz_mul(r->z, a->z, b->z);
405 d0_bignum_t *d0_bignum_divmod(d0_bignum_t *q, d0_bignum_t *m, const d0_bignum_t *a, const d0_bignum_t *b)
411 mpz_fdiv_qr(q->z, m->z, a->z, b->z);
413 mpz_fdiv_q(q->z, a->z, b->z);
415 mpz_fdiv_r(m->z, a->z, b->z);
422 d0_bignum_t *d0_bignum_mod_add(d0_bignum_t *r, const d0_bignum_t *a, const d0_bignum_t *b, const d0_bignum_t *m)
424 r = d0_bignum_add(r, a, b);
425 mpz_fdiv_r(r->z, r->z, m->z);
429 d0_bignum_t *d0_bignum_mod_sub(d0_bignum_t *r, const d0_bignum_t *a, const d0_bignum_t *b, const d0_bignum_t *m)
431 r = d0_bignum_sub(r, a, b);
432 mpz_fdiv_r(r->z, r->z, m->z);
436 d0_bignum_t *d0_bignum_mod_mul(d0_bignum_t *r, const d0_bignum_t *a, const d0_bignum_t *b, const d0_bignum_t *m)
438 r = d0_bignum_mul(r, a, b);
439 mpz_fdiv_r(r->z, r->z, m->z);
443 d0_bignum_t *d0_bignum_mod_pow(d0_bignum_t *r, const d0_bignum_t *a, const d0_bignum_t *b, const d0_bignum_t *m)
445 if(!r) r = d0_bignum_new(); if(!r) return NULL;
446 mpz_powm(r->z, a->z, b->z, m->z);
450 D0_BOOL d0_bignum_mod_inv(d0_bignum_t *r, const d0_bignum_t *a, const d0_bignum_t *m)
452 // here, r MUST be set, as otherwise we cannot return error state!
453 return mpz_invert(r->z, a->z, m->z);
456 int d0_bignum_isprime(const d0_bignum_t *r, int param)
458 return mpz_probab_prime_p(r->z, param);
461 d0_bignum_t *d0_bignum_gcd(d0_bignum_t *r, d0_bignum_t *s, d0_bignum_t *t, const d0_bignum_t *a, const d0_bignum_t *b)
463 if(!r) r = d0_bignum_new(); if(!r) return NULL;
465 mpz_gcdext(r->z, s->z, t ? t->z : NULL, a->z, b->z);
467 mpz_gcdext(r->z, t->z, NULL, b->z, a->z);
469 mpz_gcd(r->z, a->z, b->z);
473 char *d0_bignum_tostring(const d0_bignum_t *x, unsigned int base)
475 return mpz_get_str(NULL, base, x->z); // this allocates!