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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_series....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
{
slong rbits1, rbits2, len;
acb_poly_t a, b, c, d;
rbits1 = 2 + n_randint(state, 200);
rbits2 = 2 + n_randint(state, 200);
len = n_randint(state, 25);
acb_poly_init(a);
acb_poly_init(b);
acb_poly_init(c);
acb_poly_init(d);
if (n_randint(state, 4) == 0)
acb_poly_randtest(a, state, 1, rbits1, 25);
else
acb_poly_randtest(a, state, 1 + n_randint(state, 20), rbits1, 5);
if (n_randint(state, 4) == 0)
acb_poly_randtest(b, state, 1, rbits1, 25);
else
acb_poly_randtest(b, state, 1 + n_randint(state, 20), rbits1, 5);
acb_poly_randtest(c, state, 1 + n_randint(state, 20), rbits1, 5);
acb_poly_pow_series(c, a, b, len, rbits2);
/* a^b = exp(b log a) */
acb_poly_log_series(d, a, len, rbits2);
acb_poly_mullow(d, d, b, len, rbits2);
acb_poly_exp_series(d, d, len, rbits2);
if (!acb_poly_overlaps(c, d))
{
flint_printf("FAIL (iter %wd)\n\n", iter);
flint_printf("bits2 = %wd\n", rbits2);
flint_printf("len = %wd\n", len);
flint_printf("a = "); acb_poly_printd(a, 15); flint_printf("\n\n");
flint_printf("b = "); acb_poly_printd(b, 15); flint_printf("\n\n");
flint_printf("c = "); acb_poly_printd(c, 15); flint_printf("\n\n");
flint_printf("d = "); acb_poly_printd(d, 15); flint_printf("\n\n");
flint_abort();
}
/* check aliasing */
if (iter < 5000)
{
acb_poly_set(d, a);
acb_poly_pow_series(d, d, b, len, rbits2);
if (!acb_poly_overlaps(c, d))
{
flint_printf("FAIL (aliasing 1)\n");
flint_abort();
}
acb_poly_set(d, b);
acb_poly_pow_series(d, a, d, len, rbits2);
if (!acb_poly_overlaps(c, d))
{
flint_printf("FAIL (aliasing 2)\n");
flint_abort();
}
}
acb_poly_clear(a);
acb_poly_clear(b);
acb_poly_clear(c);
acb_poly_clear(d);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
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