147 lines
4.2 KiB
C
147 lines
4.2 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("derivative....");
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fflush(stdout);
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/* Check aliasing */
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for (i = 0; i < 1000 * flint_test_multiplier(); i++)
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{
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fmpq_poly_t a, b;
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fmpq_poly_init(a);
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fmpq_poly_init(b);
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fmpq_poly_randtest(a, state, n_randint(state, 100), 200);
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fmpq_poly_derivative(b, a);
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fmpq_poly_derivative(a, a);
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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 constants have derivative zero */
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for (i = 0; i < 1000 * flint_test_multiplier(); i++)
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{
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fmpq_poly_t a, b;
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fmpq_poly_init(a);
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fmpq_poly_init(b);
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fmpq_poly_randtest(a, state, n_randint(state, 2), 200);
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fmpq_poly_derivative(b, a);
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cflags |= fmpq_poly_is_canonical(b) ? 0 : 1;
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result = fmpq_poly_is_zero(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 (f g)' = f' g + f g' */
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for (i = 0; i < 1000 * flint_test_multiplier(); i++)
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{
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fmpq_poly_t a, b, c, d, lhs, rhs;
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fmpq_poly_init(a);
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fmpq_poly_init(b);
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fmpq_poly_init(c);
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fmpq_poly_init(d);
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fmpq_poly_init(lhs);
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fmpq_poly_init(rhs);
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fmpq_poly_randtest(a, state, n_randint(state, 100), 200);
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fmpq_poly_randtest(b, state, n_randint(state, 100), 200);
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fmpq_poly_mul(lhs, a, b);
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fmpq_poly_derivative(lhs, lhs);
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fmpq_poly_derivative(c, a);
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fmpq_poly_derivative(d, b);
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fmpq_poly_mul(c, c, b);
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fmpq_poly_mul(d, a, d);
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fmpq_poly_add(rhs, c, d);
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cflags |= fmpq_poly_is_canonical(lhs) ? 0 : 1;
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cflags |= fmpq_poly_is_canonical(rhs) ? 0 : 2;
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result = fmpq_poly_equal(lhs, rhs) && !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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fmpq_poly_clear(c);
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fmpq_poly_clear(d);
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fmpq_poly_clear(lhs);
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fmpq_poly_clear(rhs);
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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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