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