arb/acb_poly/test/t-taylor_shift_convolution.c

100 lines
3 KiB
C
Raw Normal View History

/*=============================================================================
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) 2016 Fredrik Johansson
******************************************************************************/
#include "acb_poly.h"
int main()
{
slong iter;
flint_rand_t state;
flint_printf("taylor_shift_convolution....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 2000; iter++)
{
slong prec1, prec2;
acb_poly_t f, g;
acb_t c, d, e;
prec1 = 2 + n_randint(state, 500);
prec2 = 2 + n_randint(state, 500);
acb_poly_init(f);
acb_poly_init(g);
acb_init(c);
acb_init(d);
acb_init(e);
acb_poly_randtest(f, state, 1 + n_randint(state, 40), 1 + n_randint(state, 500), 10);
acb_poly_randtest(g, state, 1 + n_randint(state, 20), 1 + n_randint(state, 500), 10);
if (n_randint(state, 2))
acb_set_si(c, n_randint(state, 5) - 2);
else
acb_randtest(c, state, 1 + n_randint(state, 500), 1 + n_randint(state, 100));
if (n_randint(state, 2))
acb_set_si(d, n_randint(state, 5) - 2);
else
acb_randtest(d, state, 1 + n_randint(state, 500), 1 + n_randint(state, 100));
acb_add(e, c, d, prec1);
/* check f(x+c)(x+d) = f(x+c+d) */
acb_poly_taylor_shift_convolution(g, f, e, prec2);
acb_poly_taylor_shift_convolution(f, f, c, prec1);
acb_poly_taylor_shift_convolution(f, f, d, prec1);
if (!acb_poly_overlaps(f, g))
{
flint_printf("FAIL\n\n");
flint_printf("c = "); acb_printd(c, 15); flint_printf("\n\n");
flint_printf("d = "); acb_printd(d, 15); flint_printf("\n\n");
flint_printf("f = "); acb_poly_printd(f, 15); flint_printf("\n\n");
flint_printf("g = "); acb_poly_printd(g, 15); flint_printf("\n\n");
abort();
}
acb_poly_clear(f);
acb_poly_clear(g);
acb_clear(c);
acb_clear(d);
acb_clear(e);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}