mirror of
https://github.com/vale981/arb
synced 2025-03-06 01:41:39 -05:00
127 lines
3.3 KiB
C
127 lines
3.3 KiB
C
/*
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Copyright (C) 2016 Pascal Molin
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This file is part of Arb.
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Arb is free software: you can redistribute it and/or modify it under
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the terms of the GNU Lesser General Public License (LGPL) as published
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by the Free Software Foundation; either version 2.1 of the License, or
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(at your option) any later version. See <http://www.gnu.org/licenses/>.
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*/
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#include "acb_dft.h"
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typedef void (*do_f) (acb_ptr w, acb_srcptr v, slong len, slong prec);
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void
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check_vec_eq_prec(acb_srcptr w1, acb_srcptr w2, slong len, slong prec, slong digits, ulong q, char f1[], char f2[])
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{
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slong i;
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for (i = 0; i < len; i++)
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{
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if (!acb_overlaps(w1 + i, w2 + i))
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{
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flint_printf("FAIL\n\n");
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flint_printf("q = %wu, size = %wu\n", q, len);
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flint_printf("\nDFT differ from index %ld / %ld \n", i, len);
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flint_printf("\n%s =\n", f1);
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acb_vec_printd_index(w1, len, digits);
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flint_printf("\n%s =\n", f2);
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acb_vec_printd_index(w2, len, digits);
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flint_printf("\n\n");
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abort();
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}
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else if (acb_rel_accuracy_bits(w1 + i) < 30
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|| acb_rel_accuracy_bits(w2 + i) < 30)
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{
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flint_printf("FAIL\n\n");
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flint_printf("q = %wu\n", q);
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flint_printf("\nDFT inaccurate from index %ld / %ld \n", i, len);
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flint_printf("\nnaive =\n");
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acb_printd(w1 + i, digits);
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flint_printf("\nfast =\n");
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acb_printd(w2 + i, digits);
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flint_printf("\nerrors %ld & %ld [prec = %wu]\n",
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acb_rel_accuracy_bits(w1 + i),
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acb_rel_accuracy_bits(w2 + i), prec);
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abort();
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}
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}
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}
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int main()
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{
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slong k;
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slong prec = 100, digits = 30;
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slong nq = 13;
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ulong q[13] = { 2, 3, 4, 5, 6, 23, 10, 15, 30, 59, 308, 335, 961};
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flint_rand_t state;
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slong f, nf = 4;
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do_f func[4] = { acb_dft_pol, acb_dft_cyc, acb_dft_crt , acb_dft_bluestein };
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char * name[4] = { "pol", "cyc", "crt", "bluestein" };
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flint_printf("dft....");
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fflush(stdout);
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flint_randinit(state);
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/* cyclic dft */
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for (k = 0; k < nq; k++)
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{
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slong i;
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acb_ptr v, w1, w2;
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v = _acb_vec_init(q[k]);
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w1 = _acb_vec_init(q[k]);
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w2 = _acb_vec_init(q[k]);
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for (i = 0; i < q[k]; i++)
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acb_set_si(v + i, i);
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for (f = 0; f < nf; f++)
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{
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acb_ptr w = (f == 0) ? w1 : w2;
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func[f](w, v, q[k], prec);
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if (f == 0)
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continue;
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check_vec_eq_prec(w1, w2, q[k], prec, digits, q[k], name[0], name[f]);
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}
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_acb_vec_clear(v, q[k]);
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_acb_vec_clear(w1, q[k]);
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_acb_vec_clear(w2, q[k]);
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}
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/* radix2 dft */
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for (k = 1; k < 12; k++)
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{
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slong n = 1 << k, j;
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acb_ptr v, w1, w2;
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v = w2 = _acb_vec_init(n);
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w1 = _acb_vec_init(n);
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for (j = 0; j < n; j++)
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acb_set_si(v + k, k);
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acb_dft_pol(w1, v, n, prec);
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acb_dft_rad2(v, k, prec);
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check_vec_eq_prec(w1, w2, n, prec, digits, n, "pol", "rad2");
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}
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flint_randclear(state);
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flint_cleanup();
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flint_printf("PASS\n");
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return EXIT_SUCCESS;
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}
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