arb/acb/test/t-polygamma.c
2016-04-26 17:20:05 +02:00

94 lines
2.8 KiB
C

/*
Copyright (C) 2012, 2013 Fredrik Johansson
This file is part of Arb.
Arb is free software: you can redistribute it and/or modify it under
the terms of the GNU Lesser General Public License (LGPL) as published
by the Free Software Foundation; either version 2.1 of the License, or
(at your option) any later version. See <http://www.gnu.org/licenses/>.
*/
#include "acb.h"
static const char *testdata[5] = {
"-0.2487544770337842625472529935761139760973697136685351169998556396906930329999105060928584336658420889 +/- 1e-90",
"-0.9189385332046727417803297364056176398613974736377834128171515404827656959272603976947432986359541976 +/- 1e-90",
"-0.5772156649015328606065120900824024310421593359399235988057672348848677267776646709369470632917467495 +/- 1e-90",
"1.644934066848226436472415166646025189218949901206798437735558229370007470403200873833628900619758705 +/- 1e-90",
"-2.404113806319188570799476323022899981529972584680997763584543110683676411572626180372911747218670516 +/- 1e-90",
};
int main()
{
slong iter;
flint_rand_t state;
flint_printf("polygamma....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 1000 * arb_test_multiplier(); iter++)
{
acb_t a, s, b, c;
slong prec1, prec2;
prec1 = 2 + n_randint(state, 500);
prec2 = prec1 + 30;
acb_init(a);
acb_init(s);
acb_init(b);
acb_init(c);
if (iter < 200)
{
slong i = n_randint(state, 5);
acb_set_si(s, -2 + i);
acb_one(a);
acb_randtest(c, state, 1 + n_randint(state, 500), 3);
acb_add(s, s, c, prec2);
acb_sub(s, s, c, prec2);
acb_polygamma(b, s, a, prec1);
acb_zero(c);
arb_set_str(acb_realref(c), testdata[i], prec2);
}
else
{
acb_randtest(a, state, 1 + n_randint(state, 500), 3);
acb_randtest(s, state, 1 + n_randint(state, 500), 3);
acb_polygamma(b, s, a, prec1);
acb_randtest(c, state, 1 + n_randint(state, 500), 3);
acb_add(s, s, c, prec2);
acb_sub(s, s, c, prec2);
acb_polygamma(c, s, a, prec2);
}
if (!acb_overlaps(b, c))
{
flint_printf("FAIL: overlap\n\n");
flint_printf("a = "); acb_print(a); flint_printf("\n\n");
flint_printf("s = "); acb_print(s); flint_printf("\n\n");
flint_printf("b = "); acb_print(b); flint_printf("\n\n");
flint_printf("c = "); acb_print(c); flint_printf("\n\n");
abort();
}
acb_clear(a);
acb_clear(s);
acb_clear(b);
acb_clear(c);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}