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/*
Copyright (C) 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_poly.h"
int main()
{
slong iter;
flint_rand_t state;
flint_printf("pow_acb_series....");
fflush(stdout);
flint_randinit(state);
/* compare with exp/log */
for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
{
slong prec, trunc;
acb_poly_t f, g, h1, h2;
acb_t c;
prec = 2 + n_randint(state, 200);
trunc = n_randint(state, 20);
acb_poly_init(f);
acb_poly_init(g);
acb_poly_init(h1);
acb_poly_init(h2);
acb_init(c);
/* generate binomials */
if (n_randint(state, 20) == 0)
{
acb_randtest(c, state, prec, 10);
acb_poly_set_coeff_acb(f, 0, c);
acb_randtest(c, state, prec, 10);
acb_poly_set_coeff_acb(f, 1 + n_randint(state, 20), c);
}
else
{
acb_poly_randtest(f, state, 1 + n_randint(state, 20), prec, 10);
}
acb_poly_randtest(h1, state, 1 + n_randint(state, 20), prec, 10);
acb_randtest(c, state, prec, 10);
acb_poly_set_acb(g, c);
/* f^c */
acb_poly_pow_acb_series(h1, f, c, trunc, prec);
/* f^c = exp(c*log(f)) */
acb_poly_log_series(h2, f, trunc, prec);
acb_poly_mullow(h2, h2, g, trunc, prec);
acb_poly_exp_series(h2, h2, trunc, prec);
if (!acb_poly_overlaps(h1, h2))
{
flint_printf("FAIL\n\n");
flint_printf("prec = %wd\n", prec);
flint_printf("trunc = %wd\n", trunc);
flint_printf("f = "); acb_poly_printd(f, 15); flint_printf("\n\n");
flint_printf("c = "); acb_printd(c, 15); flint_printf("\n\n");
flint_printf("h1 = "); acb_poly_printd(h1, 15); flint_printf("\n\n");
flint_printf("h2 = "); acb_poly_printd(h2, 15); flint_printf("\n\n");
flint_abort();
}
acb_poly_pow_acb_series(f, f, c, trunc, prec);
if (!acb_poly_overlaps(f, h1))
{
flint_printf("FAIL (aliasing)\n\n");
flint_abort();
}
acb_poly_clear(f);
acb_poly_clear(g);
acb_poly_clear(h1);
acb_poly_clear(h2);
acb_clear(c);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
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