pqc/external/flint-2.4.3/fmpq_poly/test/t-cos_series.c

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2014-05-18 22:03:37 +00:00
/*=============================================================================
This file is part of FLINT.
FLINT is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
FLINT is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with FLINT; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
=============================================================================*/
/******************************************************************************
Copyright (C) 2009 William Hart
Copyright (C) 2010 Sebastian Pancratz
Copyright (C) 2011 Fredrik Johansson
******************************************************************************/
#include <stdio.h>
#include <stdlib.h>
#include <gmp.h>
#include "flint.h"
#include "fmpz.h"
#include "fmpq_poly.h"
#include "fmpq_poly.h"
#include "ulong_extras.h"
int
main(void)
{
int i, result;
ulong cflags = UWORD(0);
FLINT_TEST_INIT(state);
flint_printf("cos_series....");
fflush(stdout);
/* Check aliasing of a and c */
for (i = 0; i < 20 * flint_test_multiplier(); i++)
{
fmpq_poly_t a, b;
slong n = n_randint(state, 50) + 1;
fmpq_poly_init(a);
fmpq_poly_init(b);
fmpq_poly_randtest_not_zero(a, state, n_randint(state, 50) + 1, 50);
fmpq_poly_set_coeff_ui(a, 0, UWORD(0));
fmpq_poly_canonicalise(a);
fmpq_poly_cos_series(b, a, n);
fmpq_poly_cos_series(a, a, n);
cflags |= fmpq_poly_is_canonical(a) ? 0 : 1;
cflags |= fmpq_poly_is_canonical(b) ? 0 : 2;
result = (fmpq_poly_equal(a, b) && !cflags);
if (!result)
{
flint_printf("FAIL:\n");
fmpq_poly_debug(a), flint_printf("\n\n");
fmpq_poly_debug(b), flint_printf("\n\n");
flint_printf("cflags = %wu\n\n", cflags);
abort();
}
fmpq_poly_clear(a);
fmpq_poly_clear(b);
}
/* Check 1-cos(A)^2 = sin(A)^2 */
for (i = 0; i < 20 * flint_test_multiplier(); i++)
{
fmpq_poly_t A, cosA, sinA, B, C, one;
slong n = n_randint(state, 80) + 1;
fmpq_poly_init(A);
fmpq_poly_init(cosA);
fmpq_poly_init(sinA);
fmpq_poly_init(B);
fmpq_poly_init(C);
fmpq_poly_init(one);
fmpq_poly_randtest_not_zero(A, state, n_randint(state, 60) + 1, 80);
fmpq_poly_set_coeff_ui(A, 0, UWORD(0));
fmpq_poly_cos_series(cosA, A, n);
fmpq_poly_sin_series(sinA, A, n);
fmpq_poly_mullow(B, cosA, cosA, n);
fmpq_poly_set_coeff_ui(one, 0, UWORD(1));
fmpq_poly_sub(B, one, B);
fmpq_poly_mullow(C, sinA, sinA, n);
cflags |= fmpq_poly_is_canonical(cosA) ? 0 : 1;
cflags |= fmpq_poly_is_canonical(sinA) ? 0 : 2;
result = (fmpq_poly_equal(B, C) && !cflags);
if (!result)
{
flint_printf("FAIL:\n");
flint_printf("A = "), fmpq_poly_debug(A), flint_printf("\n\n");
flint_printf("cos(A) = "), fmpq_poly_debug(cosA), flint_printf("\n\n");
flint_printf("sin(A) = "), fmpq_poly_debug(sinA), flint_printf("\n\n");
flint_printf("cflags = %wu\n\n", cflags);
abort();
}
fmpq_poly_clear(A);
fmpq_poly_clear(cosA);
fmpq_poly_clear(sinA);
fmpq_poly_clear(B);
fmpq_poly_clear(C);
fmpq_poly_clear(one);
}
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return 0;
}