158 lines
4.7 KiB
C
158 lines
4.7 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 "fmpz_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, j, result;
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FLINT_TEST_INIT(state);
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flint_printf("signature....");
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fflush(stdout);
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for (i = 0; i < 50 * flint_test_multiplier(); i++)
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{
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fmpz_poly_t poly, linear, quadratic, rem;
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fmpz_t lhs, rhs;
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slong nreal, ncomplex, nreal_max, ncomplex_max, r1, r2;
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slong len = n_randint(state, 20) + 1;
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mp_bitcnt_t bits = n_randint(state, 50) + 1;
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fmpz_poly_init2(poly, len);
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fmpz_poly_init2(linear, 2);
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fmpz_poly_init2(quadratic, 3);
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fmpz_poly_init2(rem, len);
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linear->length = 2;
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quadratic->length = 3;
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fmpz_init(lhs);
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fmpz_init(rhs);
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ncomplex_max = n_randint(state, len) / 2;
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nreal_max = len - 2 * ncomplex_max;
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ncomplex = 0;
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nreal = 0;
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fmpz_poly_set_coeff_si(poly, 0, 1);
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for (j = 0; j < ncomplex_max; j++)
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{
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fmpz * a = quadratic->coeffs + 2;
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fmpz * b = quadratic->coeffs + 1;
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fmpz * c = quadratic->coeffs;
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/* Form a quadratic polynomial with complex roots: b^2 < 4ac */
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fmpz_randtest_not_zero(c, state, bits);
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fmpz_randtest(b, state, bits);
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fmpz_randtest_unsigned(a, state, bits);
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if (fmpz_sgn(c) < 0)
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{
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fmpz_neg(c, c);
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fmpz_neg(b, b);
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}
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fmpz_mul_ui(rhs, c, 4);
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fmpz_mul(lhs, b, b);
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fmpz_add(lhs, lhs, rhs);
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fmpz_fdiv_q(lhs, lhs, rhs);
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fmpz_add(a, a, lhs);
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/* If quadratic does not divide poly over Q, set poly *= complex */
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fmpz_poly_pseudo_rem_cohen(rem, poly, quadratic);
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if (rem->length > 0)
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{
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fmpz_poly_mul(poly, poly, quadratic);
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ncomplex++;
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}
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}
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for (j = 0; j < nreal_max; j++)
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{
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/* Form a linear polynomial */
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fmpz_randtest(linear->coeffs, state, bits);
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fmpz_randtest_not_zero(linear->coeffs + 1, state, bits);
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/* If linear does not divide poly over Q, set poly *= linear */
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fmpz_poly_pseudo_rem_cohen(rem, poly, linear);
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if (rem->length > 0)
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{
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fmpz_poly_mul(poly, poly, linear);
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nreal++;
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}
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}
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fmpz_poly_signature(&r1, &r2, poly);
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result = ((r1 == nreal) && (r2 == ncomplex));
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if (!result)
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{
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flint_printf("FAIL:\n");
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flint_printf("poly = "), fmpz_poly_print(poly), flint_printf("\n\n");
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flint_printf("r1 r2 = %wd %wd\n\n", r1, r2);
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abort();
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}
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fmpz_poly_clear(poly);
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fmpz_poly_clear(linear);
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fmpz_poly_clear(quadratic);
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fmpz_poly_clear(rem);
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fmpz_clear(lhs);
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fmpz_clear(rhs);
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}
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{
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fmpz_poly_t poly;
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slong r1, r2;
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fmpz_poly_init(poly);
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fmpz_poly_set_str(poly, "6 1 1 1 10 5 1");
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fmpz_poly_signature(&r1, &r2, poly);
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result = ((r1 == 1) && (r2 == 2));
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if (!result)
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{
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flint_printf("FAIL:\n");
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flint_printf("poly = "), fmpz_poly_print(poly), flint_printf("\n\n");
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flint_printf("r1 r2 = %wd %wd\n\n", r1, r2);
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abort();
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}
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fmpz_poly_clear(poly);
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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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