/*============================================================================= This file is part of FLINT. FLINT is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. FLINT is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with FLINT; if not, write to the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA =============================================================================*/ /****************************************************************************** Copyright (C) 2009 William Hart Copyright (C) 2010 Sebastian Pancratz ******************************************************************************/ #include #include #include #include "flint.h" #include "fmpz.h" #include "fmpz_poly.h" #include "ulong_extras.h" int main(void) { int i, result; FLINT_TEST_INIT(state); flint_printf("gcd_subresultant...."); fflush(stdout); /* Check aliasing of a and b */ for (i = 0; i < 50 * flint_test_multiplier(); i++) { fmpz_poly_t a, b, c; fmpz_poly_init(a); fmpz_poly_init(b); fmpz_poly_init(c); fmpz_poly_randtest(b, state, n_randint(state, 40), 80); fmpz_poly_randtest(c, state, n_randint(state, 40), 80); fmpz_poly_gcd_subresultant(a, b, c); fmpz_poly_gcd_subresultant(b, b, c); result = (fmpz_poly_equal(a, b)); if (!result) { flint_printf("FAIL (aliasing a and b):\n"); fmpz_poly_print(a), flint_printf("\n\n"); fmpz_poly_print(b), flint_printf("\n\n"); abort(); } fmpz_poly_clear(a); fmpz_poly_clear(b); fmpz_poly_clear(c); } /* Check aliasing of a and c */ for (i = 0; i < 50 * flint_test_multiplier(); i++) { fmpz_poly_t a, b, c; fmpz_poly_init(a); fmpz_poly_init(b); fmpz_poly_init(c); fmpz_poly_randtest(b, state, n_randint(state, 40), 80); fmpz_poly_randtest(c, state, n_randint(state, 40), 80); fmpz_poly_gcd_subresultant(a, b, c); fmpz_poly_gcd_subresultant(c, b, c); result = (fmpz_poly_equal(a, c)); if (!result) { flint_printf("FAIL (aliasing a and c):\n"); fmpz_poly_print(a), flint_printf("\n\n"); fmpz_poly_print(c), flint_printf("\n\n"); abort(); } fmpz_poly_clear(a); fmpz_poly_clear(b); fmpz_poly_clear(c); } /* Check that a divides GCD(af, ag) */ for (i = 0; i < 50 * flint_test_multiplier(); i++) { fmpz_poly_t a, d, f, g, q, r; fmpz_poly_init(a); fmpz_poly_init(d); fmpz_poly_init(f); fmpz_poly_init(g); fmpz_poly_init(q); fmpz_poly_init(r); fmpz_poly_randtest_not_zero(a, state, n_randint(state, 24) + 1, 24); fmpz_poly_randtest(f, state, n_randint(state, 40), 80); fmpz_poly_randtest(g, state, n_randint(state, 40), 80); fmpz_poly_mul(f, a, f); fmpz_poly_mul(g, a, g); fmpz_poly_gcd_subresultant(d, f, g); fmpz_poly_divrem_divconquer(q, r, d, a); result = (r->length == WORD(0)); if (!result) { flint_printf("FAIL (check a | gcd(af, ag)):\n"); fmpz_poly_print(f), flint_printf("\n"); fmpz_poly_print(g), flint_printf("\n"); fmpz_poly_print(d), flint_printf("\n"); abort(); } fmpz_poly_clear(a); fmpz_poly_clear(d); fmpz_poly_clear(f); fmpz_poly_clear(g); fmpz_poly_clear(q); fmpz_poly_clear(r); } FLINT_TEST_CLEANUP(state); flint_printf("PASS\n"); return 0; }