115 lines
3.8 KiB
C
115 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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int
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main(void)
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{
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mp_bitcnt_t depth, w;
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FLINT_TEST_INIT(state);
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flint_printf("fft/ifft_mfa_truncate_sqrt2....");
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fflush(stdout);
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_flint_rand_init_gmp(state);
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for (depth = 6; depth <= 13; depth++)
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{
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for (w = 1; w <= 5; w++)
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{
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mp_size_t n = (UWORD(1)<<depth);
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mp_size_t trunc = 2*n + n_randint(state, 2*n) + 1;
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mp_size_t n1 = (UWORD(1)<<(depth/2));
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mp_size_t limbs = (n*w)/GMP_LIMB_BITS;
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mp_size_t size = limbs + 1;
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mp_size_t i;
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mp_limb_t * ptr;
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mp_limb_t ** ii, ** jj, * t1, * t2, * s1;
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trunc = 2*n1*((trunc + 2*n1 - 1)/(2*n1));
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ii = flint_malloc((4*(n + n*size) + 3*size)*sizeof(mp_limb_t));
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for (i = 0, ptr = (mp_limb_t *) ii + 4*n; i < 4*n; i++, ptr += size)
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{
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ii[i] = ptr;
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random_fermat(ii[i], state, limbs);
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}
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t1 = ptr;
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t2 = t1 + size;
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s1 = t2 + size;
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for (i = 0; i < 4*n; i++)
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mpn_normmod_2expp1(ii[i], limbs);
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jj = flint_malloc(4*(n + n*size)*sizeof(mp_limb_t));
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for (i = 0, ptr = (mp_limb_t *) jj + 4*n; i < 4*n; i++, ptr += size)
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{
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jj[i] = ptr;
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flint_mpn_copyi(jj[i], ii[i], size);
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}
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fft_mfa_truncate_sqrt2(ii, n, w, &t1, &t2, &s1, n1, trunc);
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ifft_mfa_truncate_sqrt2(ii, n, w, &t1, &t2, &s1, n1, trunc);
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for (i = 0; i < trunc; i++)
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{
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mpn_div_2expmod_2expp1(ii[i], ii[i], limbs, depth + 2);
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mpn_normmod_2expp1(ii[i], limbs);
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}
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for (i = 0; i < trunc; i++)
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{
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if (mpn_cmp(ii[i], jj[i], size) != 0)
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{
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flint_printf("FAIL:\n");
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flint_printf("n = %wd, trunc = %wd\n", n, trunc);
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flint_printf("Error in entry %wd\n", i);
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abort();
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}
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}
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flint_free(ii);
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flint_free(jj);
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}
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}
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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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