298 lines
9.0 KiB
C
298 lines
9.0 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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Copyright (C) 2013 Martin Lee
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******************************************************************************/
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#undef ulong
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#define ulong ulongxx/* interferes with system includes */
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#include <stdlib.h>
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#include <stdio.h>
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#undef ulong
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#include <gmp.h>
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#define ulong mp_limb_t
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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("div_newton_n_preinv....");
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fflush(stdout);
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/* Compare to div_basecase */
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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, q2, binv;
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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(binv, p);
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fmpz_mod_poly_init(q, p);
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fmpz_mod_poly_init(q2, p);
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do
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fmpz_mod_poly_randtest_not_zero(b, state, n_randint(state, 100) + 1);
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while (b->length <= 2);
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fmpz_mod_poly_randtest(a, state, n_randint(state, 100));
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if (a->length > 2*(b->length)-3)
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fmpz_mod_poly_truncate (a, 2*(b->length)-3);
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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_reverse (binv, b, b->length);
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fmpz_mod_poly_inv_series_newton (binv, binv, b->length);
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fmpz_mod_poly_div_basecase(q, a, b);
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fmpz_mod_poly_div_newton_n_preinv(q2, a, b, binv);
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result = (fmpz_mod_poly_equal(q, q2));
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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("q = "), fmpz_mod_poly_print(q), flint_printf("\n\n");
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flint_printf("q2 = "), fmpz_mod_poly_print(q2), 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(binv);
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fmpz_mod_poly_clear(q);
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fmpz_mod_poly_clear(q2);
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fmpz_clear(p);
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}
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/* Alias a and q */
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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, q, binv;
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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(binv, p);
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fmpz_mod_poly_init(q, p);
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do
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fmpz_mod_poly_randtest_not_zero(b, state, n_randint(state, 100) + 1);
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while (b->length <= 2);
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fmpz_mod_poly_randtest(a, state, n_randint(state, 100));
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if (a->length > 2*(b->length)-3)
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fmpz_mod_poly_truncate (a, 2*(b->length)-3);
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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_reverse (binv, b, b->length);
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fmpz_mod_poly_inv_series_newton (binv, binv, b->length);
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fmpz_mod_poly_div_newton_n_preinv(q, a, b, binv);
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fmpz_mod_poly_div_newton_n_preinv(a, a, b, binv);
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result = (fmpz_mod_poly_equal(q, 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("q = "), fmpz_mod_poly_print(q), 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(binv);
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fmpz_mod_poly_clear(q);
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fmpz_clear(p);
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}
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/* Alias b and q */
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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, q, binv;
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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(binv, p);
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fmpz_mod_poly_init(q, p);
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do
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fmpz_mod_poly_randtest_not_zero(b, state, n_randint(state, 100) + 1);
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while (b->length <= 2);
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fmpz_mod_poly_randtest(a, state, n_randint(state, 100));
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if (a->length > 2*(b->length)-3)
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fmpz_mod_poly_truncate (a, 2*(b->length)-3);
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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_reverse (binv, b, b->length);
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fmpz_mod_poly_inv_series_newton (binv, binv, b->length);
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fmpz_mod_poly_div_newton_n_preinv(q, a, b, binv);
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fmpz_mod_poly_div_newton_n_preinv(b, a, b, binv);
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result = (fmpz_mod_poly_equal(q, 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("q = "), fmpz_mod_poly_print(q), 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(binv);
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fmpz_mod_poly_clear(q);
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fmpz_clear(p);
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}
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/* Alias binv and q */
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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, q, binv;
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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(binv, p);
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fmpz_mod_poly_init(q, p);
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do
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fmpz_mod_poly_randtest_not_zero(b, state, n_randint(state, 100) + 1);
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while (b->length <= 2);
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fmpz_mod_poly_randtest(a, state, n_randint(state, 100));
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if (a->length > 2*(b->length)-3)
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fmpz_mod_poly_truncate (a, 2*(b->length)-3);
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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_reverse (binv, b, b->length);
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fmpz_mod_poly_inv_series_newton (binv, binv, b->length);
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fmpz_mod_poly_div_newton_n_preinv(q, a, b, binv);
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fmpz_mod_poly_div_newton_n_preinv(binv, a, b, binv);
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result = (fmpz_mod_poly_equal(q, binv));
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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("binv = "), fmpz_mod_poly_print(binv), flint_printf("\n\n");
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flint_printf("q = "), fmpz_mod_poly_print(q), 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(binv);
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fmpz_mod_poly_clear(q);
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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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