236 lines
8.2 KiB
C
236 lines
8.2 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 <mpir.h>
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#include "gmp-impl.h"
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#include "tests.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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mpz_set_ui(p, 1);
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mpz_mul_2exp(p, p, n*w);
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mpz_add_ui(p, p, 1);
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}
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void ref_fft_butterfly_sqrt2(mpz_t s, mpz_t t, mpz_t i1, mpz_t i2,
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mpz_t p, mp_size_t i, mp_size_t limbs, mp_size_t w)
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{
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mpz_sub(t, i1, i2);
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mpz_mul_2exp(t, t, i*(w/2) + i/2);
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mpz_mul_2exp(s, t, 3*limbs*GMP_LIMB_BITS/4);
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mpz_mul_2exp(t, t, limbs*GMP_LIMB_BITS/4);
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mpz_sub(t, s, t);
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mpz_add(s, i1, i2);
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mpz_mod(s, s, p);
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mpz_mod(t, t, p);
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}
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void ref_ifft_butterfly_sqrt2(mpz_t s, mpz_t t, mpz_t i1, mpz_t i2,
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mpz_t p, mp_size_t i, mp_size_t n, mp_size_t limbs, mp_size_t w)
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{
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mpz_mul_2exp(s, i2, 2*n*w - i*(w/2) - 1 - i/2);
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mpz_mul_2exp(t, s, 3*limbs*GMP_LIMB_BITS/4);
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mpz_mul_2exp(s, s, limbs*GMP_LIMB_BITS/4);
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mpz_sub(i2, t, s);
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mpz_add(s, i1, i2);
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mpz_sub(t, i1, i2);
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mpz_mod(s, s, p);
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mpz_mod(t, t, p);
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}
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int
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main(void)
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{
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mp_size_t c, bits, j, k, n, w, limbs;
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mpz_t p, ma, mb, m2a, m2b, mn1, mn2;
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mp_limb_t * nn1, * nn2, * r1, * r2, * temp;
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gmp_randstate_t state;
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tests_start();
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fflush(stdout);
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gmp_randinit_default(state);
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mpz_init(p);
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mpz_init(ma);
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mpz_init(mb);
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mpz_init(m2a);
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mpz_init(m2b);
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mpz_init(mn1);
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mpz_init(mn2);
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for (bits = GMP_LIMB_BITS; bits < 20*GMP_LIMB_BITS; bits += GMP_LIMB_BITS)
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{
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for (j = 1; j < 10; j++)
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{
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for (k = 1; k <= GMP_LIMB_BITS; k <<= 1)
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{
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n = bits/k;
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w = j*k;
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if ((w & 1) == 0) continue; /* w must be odd here */
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limbs = (n*w)/GMP_LIMB_BITS;
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for (c = 1; c < 2*n; c+=2)
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{
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nn1 = malloc((limbs + 1)*sizeof(mp_limb_t));
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nn2 = malloc((limbs + 1)*sizeof(mp_limb_t));
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temp = malloc((limbs + 1)*sizeof(mp_limb_t));
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r1 = malloc((limbs + 1)*sizeof(mp_limb_t));
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r2 = malloc((limbs + 1)*sizeof(mp_limb_t));
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mpir_random_fermat(nn1, state, limbs);
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mpir_random_fermat(nn2, state, limbs);
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mpir_fermat_to_mpz(mn1, nn1, limbs);
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mpir_fermat_to_mpz(mn2, nn2, limbs);
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set_p(p, n, w);
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mpir_fft_butterfly_sqrt2(r1, r2, nn1, nn2, c, limbs, w, temp);
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mpir_fermat_to_mpz(m2a, r1, limbs);
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mpir_fermat_to_mpz(m2b, r2, limbs);
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mpz_mod(m2a, m2a, p);
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mpz_mod(m2b, m2b, p);
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ref_fft_butterfly_sqrt2(ma, mb, mn1, mn2, p, c, limbs, w);
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if (mpz_cmp(ma, m2a) != 0)
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{
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printf("FAIL:\n");
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printf("fft_butterfly_sqrt2 error a\n");
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printf("limbs = %ld\n", limbs);
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printf("n = %ld, w = %ld, k = %ld, c = %ld\n", n, w, k, c);
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gmp_printf("want %Zx\n\n", ma);
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gmp_printf("got %Zx\n", m2a);
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abort();
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}
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if (mpz_cmp(mb, m2b) != 0)
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{
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printf("FAIL:\n");
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printf("fft_butterfly_sqrt2 error b\n");
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printf("limbs = %ld\n", limbs);
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printf("n = %ld, w = %ld, k = %ld, c = %ld\n", n, w, k, c);
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gmp_printf("want %Zx\n\n", mb);
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gmp_printf("got %Zx\n", m2b);
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abort();
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}
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free(temp);
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free(nn1);
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free(nn2);
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free(r1);
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free(r2);
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}
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}
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}
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}
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for (bits = GMP_LIMB_BITS; bits < 20*GMP_LIMB_BITS; bits += GMP_LIMB_BITS)
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{
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for (j = 1; j < 10; j++)
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{
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for (k = 1; k <= GMP_LIMB_BITS; k <<= 1)
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{
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n = bits/k;
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w = j*k;
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if ((w & 1) == 0) continue; /* w must be odd here */
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limbs = (n*w)/GMP_LIMB_BITS;
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for (c = 1; c < 2*n; c+=2)
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{
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nn1 = malloc((limbs + 1)*sizeof(mp_limb_t));
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nn2 = malloc((limbs + 1)*sizeof(mp_limb_t));
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temp = malloc((limbs + 1)*sizeof(mp_limb_t));
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r1 = malloc((limbs + 1)*sizeof(mp_limb_t));
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r2 = malloc((limbs + 1)*sizeof(mp_limb_t));
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mpir_random_fermat(nn1, state, limbs);
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mpir_random_fermat(nn2, state, limbs);
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mpir_fermat_to_mpz(mn1, nn1, limbs);
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mpir_fermat_to_mpz(mn2, nn2, limbs);
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set_p(p, n, w);
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mpir_ifft_butterfly_sqrt2(r1, r2, nn1, nn2, c, limbs, w, temp);
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mpir_fermat_to_mpz(m2a, r1, limbs);
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mpir_fermat_to_mpz(m2b, r2, limbs);
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mpz_mod(m2a, m2a, p);
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mpz_mod(m2b, m2b, p);
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ref_ifft_butterfly_sqrt2(ma, mb, mn1, mn2, p, c, n, limbs, w);
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if (mpz_cmp(ma, m2a) != 0)
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{
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printf("FAIL:\n");
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printf("ifft_butterfly_sqrt2 error a\n");
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printf("limbs = %ld\n", limbs);
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printf("n = %ld, w = %ld, k = %ld, c = %ld\n", n, w, k, c);
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gmp_printf("want %Zx\n\n", ma);
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gmp_printf("got %Zx\n", m2a);
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abort();
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}
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if (mpz_cmp(mb, m2b) != 0)
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{
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printf("FAIL:\n");
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printf("ifft_butterfly_sqrt2 error b\n");
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printf("limbs = %ld\n", limbs);
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printf("n = %ld, w = %ld, k = %ld, c = %ld\n", n, w, k, c);
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gmp_printf("want %Zx\n\n", mb);
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gmp_printf("got %Zx\n", m2b);
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abort();
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}
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free(temp);
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free(nn1);
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free(nn2);
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free(r1);
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free(r2);
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}
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}
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}
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}
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mpz_clear(p);
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mpz_clear(ma);
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mpz_clear(mb);
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mpz_clear(m2a);
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mpz_clear(m2b);
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mpz_clear(mn1);
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mpz_clear(mn2);
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gmp_randclear(state);
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tests_end();
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return 0;
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}
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