122 lines
3.8 KiB
C
122 lines
3.8 KiB
C
/*
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Copyright 2009, 2011 William Hart. All rights reserved.
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Redistribution and use in source and binary forms, with or without modification, are
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permitted provided that the following conditions are met:
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1. Redistributions of source code must retain the above copyright notice, this list of
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conditions and the following disclaimer.
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2. Redistributions in binary form must reproduce the above copyright notice, this list
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of conditions and the following disclaimer in the documentation and/or other materials
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provided with the distribution.
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THIS SOFTWARE IS PROVIDED BY William Hart ``AS IS'' AND ANY EXPRESS OR IMPLIED
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WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND
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FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL William Hart OR
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CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
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CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
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SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
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ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
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NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF
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ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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The views and conclusions contained in the software and documentation are those of the
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authors and should not be interpreted as representing official policies, either expressed
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or implied, of William Hart.
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*/
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#include <stdio.h>
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#include <stdlib.h>
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#include <gmp.h>
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#include "flint.h"
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#include "ulong_extras.h"
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#include "fft.h"
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/* set p = 2^wn + 1 */
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void set_p(mpz_t p, mp_size_t n, mp_bitcnt_t w)
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{
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flint_mpz_set_ui(p, 1);
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mpz_mul_2exp(p, p, n*w);
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flint_mpz_add_ui(p, p, 1);
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}
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int
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main(void)
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{
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mp_bitcnt_t bits;
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mp_size_t j, k, n, w, limbs, d;
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mp_limb_t * nn, * r;
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mpz_t p, m1, m2, mn1, mn2;
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FLINT_TEST_INIT(state);
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flint_printf("div_2expmod_2expp1....");
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fflush(stdout);
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_flint_rand_init_gmp(state);
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mpz_init(m1);
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mpz_init(m2);
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mpz_init(mn1);
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mpz_init(mn2);
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mpz_init(p);
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/* normalisation mod p = 2^wn + 1 where B divides nw and n is a power of 2 */
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for (bits = FLINT_BITS; bits < 16*FLINT_BITS; bits += FLINT_BITS)
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{
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for (j = 1; j < 32; j++)
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{
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for (k = 1; k <= FLINT_BITS; k <<= 1)
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{
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for (d = 0; d < FLINT_BITS; d++)
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{
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n = bits/k;
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w = j*k;
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limbs = (n*w)/GMP_LIMB_BITS;
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nn = flint_malloc((limbs + 1)*sizeof(mp_limb_t));
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r = flint_malloc((limbs + 1)*sizeof(mp_limb_t));
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random_fermat(nn, state, limbs);
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fermat_to_mpz(mn1, nn, limbs);
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set_p(p, n, w);
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mpn_div_2expmod_2expp1(r, nn, limbs, d);
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fermat_to_mpz(m2, r, limbs);
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mpz_mod(m2, m2, p);
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mpz_mod(m1, mn1, p);
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mpz_mul_2exp(m2, m2, d);
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mpz_mod(m2, m2, p);
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if (mpz_cmp(m1, m2) != 0)
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{
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flint_printf("FAIL:\n");
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flint_printf("mpn_div_2expmod_2expp1 error\n");
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gmp_printf("want %Zx\n\n", m1);
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gmp_printf("got %Zx\n", m2);
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abort();
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}
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flint_free(nn);
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flint_free(r);
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}
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}
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}
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}
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mpz_clear(mn2);
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mpz_clear(mn1);
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mpz_clear(m2);
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mpz_clear(m1);
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mpz_clear(p);
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FLINT_TEST_CLEANUP(state);
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flint_printf("PASS\n");
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return 0;
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}
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