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/*
Copyright (C) 2016 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_mat.h"
int main()
{
slong iter;
flint_rand_t state;
flint_printf("exp_sum_taylor....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 500 * arb_test_multiplier(); iter++)
{
acb_mat_t A, S1, S2, S3;
fmpz_t f;
slong n, N, prec1, prec2;
n = n_randint(state, 5);
N = n_randint(state, 40);
prec1 = 2 + n_randint(state, 200);
prec2 = 2 + n_randint(state, 200);
acb_mat_init(A, n, n);
acb_mat_init(S1, n, n);
acb_mat_init(S2, n, n);
acb_mat_init(S3, n, n);
fmpz_init(f);
acb_mat_randtest(A, state, prec1, 10);
acb_mat_randtest(S1, state, prec1, 10);
acb_mat_randtest(S2, state, prec1, 10);
acb_mat_exp_taylor_sum(S1, A, N, prec1);
acb_mat_exp_taylor_sum(S2, A, N + 1, prec2);
acb_mat_pow_ui(S3, A, N, prec2);
fmpz_fac_ui(f, N);
acb_mat_scalar_div_fmpz(S3, S3, f, prec2);
acb_mat_add(S3, S3, S1, prec2);
if (!acb_mat_overlaps(S2, S3))
{
flint_printf("FAIL\n\n");
flint_printf("n = %wd, N = %wd\n", n, N);
flint_printf("A = \n"); acb_mat_printd(A, 15); flint_printf("\n\n");
flint_printf("S1 = \n"); acb_mat_printd(S1, 15); flint_printf("\n\n");
flint_printf("S2 = \n"); acb_mat_printd(S2, 15); flint_printf("\n\n");
flint_printf("S3 = \n"); acb_mat_printd(S3, 15); flint_printf("\n\n");
flint_abort();
}
acb_mat_exp_taylor_sum(A, A, N, prec1);
if (!acb_mat_overlaps(A, S1))
{
flint_printf("FAIL (aliasing)\n\n");
flint_abort();
}
acb_mat_clear(A);
acb_mat_clear(S1);
acb_mat_clear(S2);
acb_mat_clear(S3);
fmpz_clear(f);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
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