162 lines
4.8 KiB
C
162 lines
4.8 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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******************************************************************************/
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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 "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("compose....");
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fflush(stdout);
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/* Check aliasing of the first argument */
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for (i = 0; i < 10 * flint_test_multiplier(); i++)
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{
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fmpq_poly_t f, g, h;
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fmpq_poly_init(f);
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fmpq_poly_init(g);
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fmpq_poly_init(h);
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fmpq_poly_randtest(g, state, n_randint(state, 50), 100);
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fmpq_poly_randtest(h, state, n_randint(state, 20), 50);
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fmpq_poly_compose(f, g, h);
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fmpq_poly_compose(g, g, h);
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cflags |= fmpq_poly_is_canonical(f) ? 0 : 1;
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cflags |= fmpq_poly_is_canonical(g) ? 0 : 2;
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result = (fmpq_poly_equal(f, g) && !cflags);
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if (!result)
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{
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flint_printf("FAIL (aliasing 1):\n");
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fmpq_poly_debug(f), flint_printf("\n\n");
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fmpq_poly_debug(g), 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(f);
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fmpq_poly_clear(g);
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fmpq_poly_clear(h);
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}
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/* Check aliasing of the second argument */
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for (i = 0; i < 10 * flint_test_multiplier(); i++)
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{
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fmpq_poly_t f, g, h;
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fmpq_poly_init(f);
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fmpq_poly_init(g);
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fmpq_poly_init(h);
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fmpq_poly_randtest(g, state, n_randint(state, 50), 100);
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fmpq_poly_randtest(h, state, n_randint(state, 20), 50);
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fmpq_poly_compose(f, g, h);
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fmpq_poly_compose(h, g, h);
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cflags |= fmpq_poly_is_canonical(f) ? 0 : 1;
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cflags |= fmpq_poly_is_canonical(h) ? 0 : 2;
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result = (fmpq_poly_equal(f, h) && !cflags);
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if (!result)
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{
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flint_printf("FAIL (aliasing 2):\n");
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fmpq_poly_debug(f), flint_printf("\n\n");
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fmpq_poly_debug(h), 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(f);
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fmpq_poly_clear(g);
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fmpq_poly_clear(h);
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}
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/* Compare with the naive method for g(h(t)) */
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for (i = 0; i < 10 * flint_test_multiplier(); i++)
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{
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fmpq_poly_t f, g, h, s, t, u;
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mpq_t c;
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slong k;
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fmpq_poly_init(f);
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fmpq_poly_init(g);
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fmpq_poly_init(h);
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fmpq_poly_init(s);
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fmpq_poly_init(t);
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fmpq_poly_init(u);
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mpq_init(c);
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fmpq_poly_randtest(g, state, n_randint(state, 20), 65);
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fmpq_poly_randtest(h, state, n_randint(state, 20), 65);
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fmpq_poly_zero(s);
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fmpq_poly_set_ui(t, UWORD(1));
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for (k = WORD(0); k < g->length; k++)
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{
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fmpq_poly_get_coeff_mpq(c, g, k);
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fmpq_poly_scalar_mul_mpq(u, t, c);
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fmpq_poly_add(s, s, u);
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fmpq_poly_mul(t, t, h);
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}
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fmpq_poly_compose(f, g, h);
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result = (fmpq_poly_equal(f, s));
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if (!result)
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{
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flint_printf("FAIL (compare with naive):\n");
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flint_printf("g = "), fmpq_poly_debug(g), flint_printf("\n\n");
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flint_printf("h = "), fmpq_poly_debug(h), flint_printf("\n\n");
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flint_printf("f = "), fmpq_poly_debug(f), flint_printf("\n\n");
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flint_printf("s = "), fmpq_poly_debug(s), flint_printf("\n\n");
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abort();
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}
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fmpq_poly_clear(f);
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fmpq_poly_clear(g);
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fmpq_poly_clear(h);
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fmpq_poly_clear(s);
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fmpq_poly_clear(t);
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fmpq_poly_clear(u);
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mpq_clear(c);
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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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