arb/acb_calc/test/t-integrate_taylor.c
2015-11-06 15:51:44 +00:00

109 lines
3.1 KiB
C

/*=============================================================================
This file is part of ARB.
ARB is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
ARB is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with ARB; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
=============================================================================*/
/******************************************************************************
Copyright (C) 2013 Fredrik Johansson
******************************************************************************/
#include "acb_calc.h"
/* sin(x) */
int
sin_x(acb_ptr out, const acb_t inp, void * params, slong order, slong prec)
{
int xlen = FLINT_MIN(2, order);
acb_set(out, inp);
if (xlen > 1)
acb_one(out + 1);
_acb_poly_sin_series(out, out, xlen, order, prec);
return 0;
}
int main()
{
slong iter;
flint_rand_t state;
printf("integrate_taylor....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 150; iter++)
{
acb_t ans, res, a, b;
arf_t inr, outr;
double t;
slong goal, prec;
acb_init(ans);
acb_init(res);
acb_init(a);
acb_init(b);
arf_init(inr);
arf_init(outr);
goal = 2 + n_randint(state, 300);
prec = 2 + n_randint(state, 300);
acb_randtest(a, state, 1 + n_randint(state, 200), 2);
acb_randtest(b, state, 1 + n_randint(state, 200), 2);
acb_cos(ans, a, prec);
acb_cos(res, b, prec);
acb_sub(ans, ans, res, prec);
t = (1 + n_randint(state, 20)) / 10.0;
arf_set_d(inr, t);
arf_set_d(outr, t + (1 + n_randint(state, 20)) / 5.0);
acb_calc_integrate_taylor(res, sin_x, NULL,
a, b, inr, outr, goal, prec);
if (!acb_overlaps(res, ans))
{
printf("FAIL! (iter = %wd)\n", iter);
printf("prec = %wd, goal = %wd\n", prec, goal);
printf("inr = "); arf_printd(inr, 15); printf("\n");
printf("outr = "); arf_printd(outr, 15); printf("\n");
printf("a = "); acb_printd(a, 15); printf("\n");
printf("b = "); acb_printd(b, 15); printf("\n");
printf("res = "); acb_printd(res, 15); printf("\n\n");
printf("ans = "); acb_printd(ans, 15); printf("\n\n");
abort();
}
acb_clear(ans);
acb_clear(res);
acb_clear(a);
acb_clear(b);
arf_clear(inr);
arf_clear(outr);
}
flint_randclear(state);
flint_cleanup();
printf("PASS\n");
return EXIT_SUCCESS;
}