/*============================================================================= This file is part of FLINT. FLINT is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. FLINT is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with FLINT; if not, write to the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA =============================================================================*/ /****************************************************************************** Copyright (C) 2008, 2009, William Hart Copyright (C) 2010 Fredrik Johansson ******************************************************************************/ #include #include #include #include "flint.h" #include "ulong_extras.h" #include "fmpz.h" int main() { int result; fmpz_t input, temp; mpz_t num1; mp_limb_t * output, * output2; double primes_per_limb; slong i, j, k; slong bits; slong num_primes; mp_limb_t * primes; mp_limb_t prime; fmpz_comb_t comb; fmpz_comb_temp_t comb_temp; FLINT_TEST_INIT(state); flint_printf("multi_CRT_ui_unsigned...."); fflush(stdout); mpz_init(num1); result = 1; for (i = 0; i < 1000 * flint_test_multiplier(); i++) { bits = n_randint(state, 300)+1; if (FLINT_BITS == 32) primes_per_limb = 1.0325; else if (FLINT_BITS == 64) primes_per_limb = 1.016; num_primes = (bits*primes_per_limb)/FLINT_BITS + 1; primes = (mp_limb_t *) flint_malloc(num_primes * sizeof(mp_limb_t)); prime = n_nextprime((UWORD(1) << (FLINT_BITS-1)) - WORD(10000000), 0); for (j = 0; j < num_primes; j++) { primes[j] = prime; prime = n_nextprime(prime, 0); } fmpz_init(input); fmpz_randtest(input, state, bits); fmpz_abs(input, input); fmpz_get_mpz(num1, input); output = (mp_limb_t *) flint_malloc(num_primes * sizeof(mp_limb_t)); output2 = (mp_limb_t *) flint_malloc(num_primes * sizeof(mp_limb_t)); fmpz_comb_init(comb, primes, num_primes); fmpz_comb_temp_init(comb_temp, comb); fmpz_multi_mod_ui(output, input, comb, comb_temp); fmpz_init(temp); fmpz_multi_CRT_ui(temp, output, comb, comb_temp, 0); result &= fmpz_equal(temp, input); fmpz_comb_temp_clear(comb_temp); for (k = 0; k < num_primes; k++) { output2[k] = fmpz_mod_ui(temp, input, primes[k]); result &= (output[k] == output2[k]); } if (!result) { flint_printf("FAIL: bits = %wd, num_primes = %wd\n", bits, num_primes); fmpz_print(temp); flint_printf("\n"); fmpz_print(input); flint_printf("\n"); abort(); } fmpz_clear(temp); fmpz_comb_clear(comb); fmpz_clear(input); flint_free(output); flint_free(output2); flint_free(primes); } mpz_clear(num1); FLINT_TEST_CLEANUP(state); flint_printf("PASS\n"); return 0; }