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/*
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 "arb_poly.h"
int main()
{
slong iter;
flint_rand_t state;
flint_printf("sin_cos_series_tangent....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
{
slong m, n, qbits, rbits1, rbits2;
fmpq_poly_t A, B;
arb_poly_t a, b, c, d, e;
int times_pi;
qbits = 2 + n_randint(state, 200);
rbits1 = 2 + n_randint(state, 200);
rbits2 = 2 + n_randint(state, 200);
m = 1 + n_randint(state, 30);
n = 1 + n_randint(state, 30);
times_pi = n_randint(state, 2);
fmpq_poly_init(A);
fmpq_poly_init(B);
arb_poly_init(a);
arb_poly_init(b);
arb_poly_init(c);
arb_poly_init(d);
arb_poly_init(e);
fmpq_poly_randtest(A, state, m, qbits);
arb_poly_set_fmpq_poly(a, A, rbits1);
arb_poly_sin_cos_series_tangent(b, c, a, n, rbits2, times_pi);
/* Check sin(x)^2 + cos(x)^2 = 1 */
arb_poly_mullow(d, b, b, n, rbits2);
arb_poly_mullow(e, c, c, n, rbits2);
arb_poly_add(d, d, e, rbits2);
fmpq_poly_one(B);
if (!arb_poly_contains_fmpq_poly(d, B))
{
flint_printf("FAIL\n\n");
flint_printf("bits2 = %wd\n", rbits2);
flint_printf("A = "); fmpq_poly_print(A); flint_printf("\n\n");
flint_printf("a = "); arb_poly_printd(a, 15); flint_printf("\n\n");
flint_printf("b = "); arb_poly_printd(b, 15); flint_printf("\n\n");
flint_printf("c = "); arb_poly_printd(c, 15); flint_printf("\n\n");
flint_printf("d = "); arb_poly_printd(d, 15); flint_printf("\n\n");
flint_abort();
}
arb_poly_set(d, a);
arb_poly_sin_cos_series_tangent(d, c, d, n, rbits2, times_pi);
if (!arb_poly_equal(b, d))
{
flint_printf("FAIL (aliasing 1)\n\n");
flint_abort();
}
arb_poly_set(d, a);
arb_poly_sin_cos_series_tangent(b, d, d, n, rbits2, times_pi);
if (!arb_poly_equal(c, d))
{
flint_printf("FAIL (aliasing 2)\n\n");
flint_abort();
}
fmpq_poly_clear(A);
fmpq_poly_clear(B);
arb_poly_clear(a);
arb_poly_clear(b);
arb_poly_clear(c);
arb_poly_clear(d);
arb_poly_clear(e);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
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