231 lines
6.7 KiB
C
231 lines
6.7 KiB
C
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/*=============================================================================
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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 "long_extras.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("scalar_div_mpz....");
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fflush(stdout);
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/* Check aliasing of a and b */
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for (i = 0; i < 100 * flint_test_multiplier(); i++)
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{
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fmpq_poly_t a, b;
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fmpz_t n;
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mpz_t m;
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fmpz_init(n);
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mpz_init(m);
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fmpz_randtest_not_zero(n, state, 200);
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fmpz_get_mpz(m, n);
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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_scalar_div_mpz(b, a, m);
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fmpq_poly_scalar_div_mpz(a, a, m);
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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 (aliasing):\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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fmpz_print(n);
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abort();
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}
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fmpz_clear(n);
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mpz_clear(m);
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fmpq_poly_clear(a);
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fmpq_poly_clear(b);
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}
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/* Compare with fmpq_poly_scalar_mul_si */
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for (i = 0; i < 100 * flint_test_multiplier(); i++)
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{
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fmpq_poly_t a, b, c;
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mpz_t n1;
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slong n;
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n = z_randtest_not_zero(state);
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mpz_init(n1);
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flint_mpz_set_si(n1, n);
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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_randtest(a, state, n_randint(state, 100), 200);
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fmpq_poly_scalar_div_mpz(b, a, n1);
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fmpq_poly_scalar_div_si(c, a, n);
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cflags |= fmpq_poly_is_canonical(b) ? 0 : 1;
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cflags |= fmpq_poly_is_canonical(c) ? 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 (comparison with _si):\n");
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fmpq_poly_debug(a), flint_printf("\n\n");
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flint_printf("%wd", n), flint_printf("\n\n");
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fmpq_poly_debug(b), flint_printf("\n\n");
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fmpq_poly_debug(c), 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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mpz_clear(n1);
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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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}
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/* Check that (a / n1) / n2 == a / (n1 * n2) */
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for (i = 0; i < 100 * flint_test_multiplier(); i++)
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{
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fmpq_poly_t a, lhs, rhs;
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fmpz_t n1, n2;
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mpz_t m1, m2, m;
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fmpz_init(n1);
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fmpz_init(n2);
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mpz_init(m1);
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mpz_init(m2);
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mpz_init(m);
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fmpz_randtest_not_zero(n1, state, 100);
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fmpz_randtest_not_zero(n2, state, 100);
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fmpz_get_mpz(m1, n1);
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fmpz_get_mpz(m2, n2);
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mpz_mul(m, m1, m2);
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fmpq_poly_init(a);
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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_scalar_div_mpz(lhs, a, m1);
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fmpq_poly_scalar_div_mpz(lhs, lhs, m2);
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fmpq_poly_scalar_div_mpz(rhs, a, m);
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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 (a / n1 / n2):\n");
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fmpq_poly_debug(a), flint_printf("\n\n");
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fmpz_print(n1), flint_printf("\n\n");
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fmpz_print(n2), flint_printf("\n\n");
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fmpq_poly_debug(lhs), flint_printf("\n\n");
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fmpq_poly_debug(rhs), 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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fmpz_clear(n1);
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fmpz_clear(n2);
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mpz_clear(m1);
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mpz_clear(m2);
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mpz_clear(m);
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fmpq_poly_clear(a);
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fmpq_poly_clear(lhs);
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fmpq_poly_clear(rhs);
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}
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/* Check that (a + b) / n == a/n + b/n */
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for (i = 0; i < 100 * flint_test_multiplier(); i++)
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{
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fmpq_poly_t a, b, lhs, rhs;
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fmpz_t n;
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mpz_t m;
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fmpz_init(n);
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mpz_init(m);
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fmpz_randtest_not_zero(n, state, 100);
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fmpz_get_mpz(m, n);
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fmpq_poly_init(a);
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fmpq_poly_init(b);
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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_scalar_div_mpz(lhs, a, m);
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fmpq_poly_scalar_div_mpz(rhs, b, m);
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fmpq_poly_add(rhs, lhs, rhs);
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fmpq_poly_add(lhs, a, b);
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fmpq_poly_scalar_div_mpz(lhs, lhs, m);
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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 ((a + b) / n):\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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fmpz_print(n), flint_printf("\n\n");
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fmpq_poly_debug(lhs), flint_printf("\n\n");
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fmpq_poly_debug(rhs), 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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fmpz_clear(n);
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mpz_clear(m);
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fmpq_poly_clear(a);
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fmpq_poly_clear(b);
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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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