mirror of
https://github.com/vale981/arb
synced 2025-03-06 09:51:39 -05:00
143 lines
4.1 KiB
C
143 lines
4.1 KiB
C
/*=============================================================================
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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
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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ARB is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with ARB; if not, write to the Free Software
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Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
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=============================================================================*/
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/******************************************************************************
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Copyright (C) 2012 Fredrik Johansson
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******************************************************************************/
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#include "fmprb.h"
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int main()
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{
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long iter;
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flint_rand_t state;
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printf("sin_cos....");
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fflush(stdout);
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flint_randinit(state);
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for (iter = 0; iter < 100000; iter++)
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{
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fmprb_t a, b, c;
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fmpq_t q;
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mpfr_t t, u;
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long prec = 2 + n_randint(state, 200);
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fmprb_init(a);
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fmprb_init(b);
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fmprb_init(c);
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fmpq_init(q);
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mpfr_init2(t, prec + 100);
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mpfr_init2(u, prec + 100);
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fmprb_randtest(a, state, 1 + n_randint(state, 200), 3);
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fmprb_randtest(b, state, 1 + n_randint(state, 200), 3);
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fmprb_randtest(c, state, 1 + n_randint(state, 200), 3);
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fmprb_get_rand_fmpq(q, state, a, 1 + n_randint(state, 200));
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fmpq_get_mpfr(t, q, MPFR_RNDN);
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mpfr_sin_cos(t, u, t, MPFR_RNDN);
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fmprb_sin_cos(b, c, a, prec);
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if (!fmprb_contains_mpfr(b, t))
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{
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printf("FAIL: containment (sin)\n\n");
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printf("a = "); fmprb_print(a); printf("\n\n");
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printf("b = "); fmprb_print(b); printf("\n\n");
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abort();
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}
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if (!fmprb_contains_mpfr(c, u))
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{
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printf("FAIL: containment (cos)\n\n");
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printf("a = "); fmprb_print(a); printf("\n\n");
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printf("c = "); fmprb_print(c); printf("\n\n");
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abort();
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}
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fmprb_clear(a);
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fmprb_clear(b);
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fmprb_clear(c);
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fmpq_clear(q);
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mpfr_clear(t);
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mpfr_clear(u);
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}
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/* check large arguments */
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for (iter = 0; iter < 10000; iter++)
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{
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fmprb_t a, b, c, d, e;
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long prec1, prec2;
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prec1 = 2 + n_randint(state, 1000);
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prec2 = prec1 + 30;
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fmprb_init(a);
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fmprb_init(b);
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fmprb_init(c);
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fmprb_init(d);
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fmprb_init(e);
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fmprb_randtest_precise(a, state, 1 + n_randint(state, 1000), 100);
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fmprb_sin_cos(b, c, a, prec1);
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fmprb_sin_cos(d, e, a, prec2);
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if (!fmprb_overlaps(b, d) || !fmprb_overlaps(c, e))
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{
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printf("FAIL: overlap\n\n");
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printf("a = "); fmprb_print(a); printf("\n\n");
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printf("b = "); fmprb_print(b); printf("\n\n");
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printf("c = "); fmprb_print(c); printf("\n\n");
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printf("d = "); fmprb_print(d); printf("\n\n");
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printf("e = "); fmprb_print(e); printf("\n\n");
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abort();
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}
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/* check sin(a)^2 + cos(a)^2 = 1 */
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fmprb_mul(d, b, b, prec1);
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fmprb_mul(e, c, c, prec1);
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fmprb_add(d, d, e, prec1);
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fmprb_sub_ui(d, d, 1, prec1);
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if (!fmprb_contains_zero(d))
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{
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printf("FAIL: functional equation\n\n");
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printf("a = "); fmprb_print(a); printf("\n\n");
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printf("b = "); fmprb_print(b); printf("\n\n");
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printf("c = "); fmprb_print(c); printf("\n\n");
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abort();
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}
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fmprb_clear(a);
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fmprb_clear(b);
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fmprb_clear(c);
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fmprb_clear(d);
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fmprb_clear(e);
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}
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flint_randclear(state);
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_fmpz_cleanup();
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printf("PASS\n");
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return EXIT_SUCCESS;
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}
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