207 lines
6.1 KiB
C
207 lines
6.1 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) 2011 Sebastian Pancratz
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Copyright (C) 2009 William Hart
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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 "fmpz_mod_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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FLINT_TEST_INIT(state);
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flint_printf("rem_basecase....");
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fflush(stdout);
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/* Check q*b + r = a, no aliasing */
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for (i = 0; i < 5000; i++)
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{
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fmpz_t p;
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fmpz_mod_poly_t a, b, q, r, t;
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fmpz_init(p);
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fmpz_randtest_unsigned(p, state, 2 * FLINT_BITS);
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fmpz_add_ui(p, p, 2);
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fmpz_mod_poly_init(a, p);
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fmpz_mod_poly_init(b, p);
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fmpz_mod_poly_init(q, p);
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fmpz_mod_poly_init(r, p);
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fmpz_mod_poly_init(t, p);
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fmpz_mod_poly_randtest(a, state, n_randint(state, 100));
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fmpz_mod_poly_randtest_not_zero(b, state, n_randint(state, 100) + 1);
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{
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fmpz_t d;
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fmpz *leadB = fmpz_mod_poly_lead(b);
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fmpz_init(d);
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fmpz_gcd(d, p, leadB);
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while (!fmpz_is_one(d))
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{
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fmpz_divexact(leadB, leadB, d);
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fmpz_gcd(d, p, leadB);
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}
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fmpz_clear(d);
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}
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fmpz_mod_poly_divrem_basecase(q, r, a, b);
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fmpz_mod_poly_rem_basecase(t, a, b);
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result = (fmpz_mod_poly_equal(r, t));
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if (!result)
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{
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flint_printf("FAIL (cmp with divrem):\n");
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flint_printf("p = "), fmpz_print(p), flint_printf("\n\n");
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flint_printf("a = "), fmpz_mod_poly_print(a), flint_printf("\n\n");
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flint_printf("b = "), fmpz_mod_poly_print(b), flint_printf("\n\n");
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flint_printf("q = "), fmpz_mod_poly_print(q), flint_printf("\n\n");
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flint_printf("r = "), fmpz_mod_poly_print(r), flint_printf("\n\n");
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flint_printf("t = "), fmpz_mod_poly_print(t), flint_printf("\n\n");
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abort();
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}
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fmpz_mod_poly_clear(a);
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fmpz_mod_poly_clear(b);
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fmpz_mod_poly_clear(q);
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fmpz_mod_poly_clear(r);
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fmpz_mod_poly_clear(t);
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fmpz_clear(p);
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}
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/* Alias b and r */
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for (i = 0; i < 500; i++)
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{
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fmpz_t p;
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fmpz_mod_poly_t a, b, r;
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fmpz_init(p);
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fmpz_randtest_unsigned(p, state, 2 * FLINT_BITS);
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fmpz_add_ui(p, p, 2);
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fmpz_mod_poly_init(a, p);
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fmpz_mod_poly_init(b, p);
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fmpz_mod_poly_init(r, p);
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fmpz_mod_poly_randtest(a, state, n_randint(state, 100));
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fmpz_mod_poly_randtest_not_zero(b, state, n_randint(state, 100) + 1);
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{
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fmpz_t d;
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fmpz *leadB = fmpz_mod_poly_lead(b);
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fmpz_init(d);
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fmpz_gcd(d, p, leadB);
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while (!fmpz_is_one(d))
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{
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fmpz_divexact(leadB, leadB, d);
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fmpz_gcd(d, p, leadB);
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}
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fmpz_clear(d);
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}
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fmpz_mod_poly_rem_basecase(r, a, b);
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fmpz_mod_poly_rem_basecase(b, a, b);
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result = (fmpz_mod_poly_equal(r, b));
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if (!result)
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{
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flint_printf("FAIL:\n");
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flint_printf("p = "), fmpz_print(p), flint_printf("\n\n");
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flint_printf("a = "), fmpz_mod_poly_print(a), flint_printf("\n\n");
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flint_printf("b = "), fmpz_mod_poly_print(b), flint_printf("\n\n");
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flint_printf("r = "), fmpz_mod_poly_print(r), flint_printf("\n\n");
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abort();
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}
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fmpz_mod_poly_clear(a);
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fmpz_mod_poly_clear(b);
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fmpz_mod_poly_clear(r);
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fmpz_clear(p);
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}
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/* a and r */
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for (i = 0; i < 500; i++)
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{
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fmpz_t p;
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fmpz_mod_poly_t a, b, r;
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fmpz_init(p);
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fmpz_randtest_unsigned(p, state, 2 * FLINT_BITS);
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fmpz_add_ui(p, p, 2);
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fmpz_mod_poly_init(a, p);
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fmpz_mod_poly_init(b, p);
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fmpz_mod_poly_init(r, p);
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fmpz_mod_poly_randtest(a, state, n_randint(state, 100));
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fmpz_mod_poly_randtest_not_zero(b, state, n_randint(state, 100) + 1);
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{
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fmpz_t d;
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fmpz *leadB = fmpz_mod_poly_lead(b);
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fmpz_init(d);
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fmpz_gcd(d, p, leadB);
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while (!fmpz_is_one(d))
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{
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fmpz_divexact(leadB, leadB, d);
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fmpz_gcd(d, p, leadB);
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}
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fmpz_clear(d);
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}
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fmpz_mod_poly_rem_basecase(r, a, b);
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fmpz_mod_poly_rem_basecase(a, a, b);
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result = (fmpz_mod_poly_equal(r, a));
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if (!result)
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{
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flint_printf("FAIL:\n");
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flint_printf("p = "), fmpz_print(p), flint_printf("\n\n");
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flint_printf("a = "), fmpz_mod_poly_print(a), flint_printf("\n\n");
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flint_printf("b = "), fmpz_mod_poly_print(b), flint_printf("\n\n");
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flint_printf("r = "), fmpz_mod_poly_print(r), flint_printf("\n\n");
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abort();
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}
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fmpz_mod_poly_clear(a);
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fmpz_mod_poly_clear(b);
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fmpz_mod_poly_clear(r);
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fmpz_clear(p);
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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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