mirror of
https://github.com/vale981/arb
synced 2025-03-06 09:51:39 -05:00
140 lines
4 KiB
C
140 lines
4 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 "acb.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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/* check sin(a+b) = cos(b)*sin(a) + cos(a)*sin(b) */
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for (iter = 0; iter < 10000; iter++)
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{
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acb_t a, b, c, d, cosa, sina, cosb, sinb;
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long prec;
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acb_init(a);
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acb_init(b);
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acb_init(c);
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acb_init(d);
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acb_init(cosa);
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acb_init(sina);
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acb_init(cosb);
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acb_init(sinb);
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acb_randtest(a, state, 1 + n_randint(state, 200), 3);
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acb_randtest(b, state, 1 + n_randint(state, 200), 3);
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prec = 2 + n_randint(state, 200);
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acb_add(c, a, b, prec);
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acb_sin(c, c, prec);
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acb_sin_cos(sina, cosa, a, prec);
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acb_sin_cos(sinb, cosb, b, prec);
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acb_mul(cosb, cosb, sina, prec);
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acb_mul(cosa, cosa, sinb, prec);
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acb_add(d, cosa, cosb, prec);
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if (!acb_overlaps(c, d))
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{
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printf("FAIL: sin(a+b) = cos(b)*sin(a) + cos(a)*sin(b)\n\n");
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printf("a = "); acb_print(a); printf("\n\n");
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printf("b = "); acb_print(b); printf("\n\n");
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printf("c = "); acb_print(c); printf("\n\n");
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printf("d = "); acb_print(d); printf("\n\n");
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abort();
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}
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acb_clear(a);
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acb_clear(b);
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acb_clear(c);
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acb_clear(d);
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acb_clear(cosa);
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acb_clear(sina);
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acb_clear(cosb);
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acb_clear(sinb);
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}
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/* check cos(a+b) = cos(b)*cos(a) - sin(a)*sin(b) */
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for (iter = 0; iter < 10000; iter++)
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{
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acb_t a, b, c, d, cosa, sina, cosb, sinb;
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long prec;
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acb_init(a);
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acb_init(b);
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acb_init(c);
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acb_init(d);
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acb_init(cosa);
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acb_init(sina);
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acb_init(cosb);
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acb_init(sinb);
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acb_randtest(a, state, 1 + n_randint(state, 200), 3);
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acb_randtest(b, state, 1 + n_randint(state, 200), 3);
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prec = 2 + n_randint(state, 200);
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acb_add(c, a, b, prec);
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acb_cos(c, c, prec);
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acb_sin_cos(sina, cosa, a, prec);
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acb_sin_cos(sinb, cosb, b, prec);
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acb_mul(cosa, cosa, cosb, prec);
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acb_mul(sina, sina, sinb, prec);
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acb_sub(d, cosa, sina, prec);
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if (!acb_overlaps(c, d))
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{
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printf("FAIL: cos(a+b) = cos(b)*cos(a) - sin(a)*sin(b)\n\n");
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printf("a = "); acb_print(a); printf("\n\n");
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printf("b = "); acb_print(b); printf("\n\n");
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printf("c = "); acb_print(c); printf("\n\n");
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printf("d = "); acb_print(d); printf("\n\n");
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abort();
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}
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acb_clear(a);
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acb_clear(b);
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acb_clear(c);
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acb_clear(d);
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acb_clear(cosa);
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acb_clear(sina);
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acb_clear(cosb);
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acb_clear(sinb);
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}
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flint_randclear(state);
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flint_cleanup();
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printf("PASS\n");
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return EXIT_SUCCESS;
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}
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