/*============================================================================= 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) 2010 Sebastian Pancratz ******************************************************************************/ #include #include #include #include "flint.h" #include "fmpz.h" #include "fmpz_poly.h" #include "fmpq_poly.h" #include "ulong_extras.h" int main(void) { int i, result; ulong cflags = UWORD(0); FLINT_TEST_INIT(state); flint_printf("div_series...."); fflush(stdout); /* Check aliasing q and a */ for (i = 0; i < 100 * flint_test_multiplier(); i++) { fmpq_poly_t a, b, q; slong n = n_randint(state, 50) + 1; fmpq_poly_init(a); fmpq_poly_init(b); fmpq_poly_init(q); fmpq_poly_randtest(a, state, n_randint(state, 50) + 1, 80); fmpq_poly_randtest_not_zero(b, state, n_randint(state, 50) + 1, 80); fmpq_poly_set_coeff_ui(b, 0, 1); fmpq_poly_div_series(q, a, b, n); fmpq_poly_div_series(a, a, b, n); cflags |= fmpq_poly_is_canonical(q) ? 0 : 1; cflags |= fmpq_poly_is_canonical(a) ? 0 : 2; result = (fmpq_poly_equal(q, a)) && !cflags; if (!result) { flint_printf("FAIL (alias q and a):\n"); flint_printf("a = "), fmpq_poly_debug(a), flint_printf("\n\n"); flint_printf("b = "), fmpq_poly_debug(b), flint_printf("\n\n"); flint_printf("q = "), fmpq_poly_debug(q), flint_printf("\n\n"); flint_printf("cflags = %wu\n\n", cflags); abort(); } fmpq_poly_clear(a); fmpq_poly_clear(b); fmpq_poly_clear(q); } /* Check aliasing q and b */ for (i = 0; i < 100 * flint_test_multiplier(); i++) { fmpq_poly_t a, b, q; slong n = n_randint(state, 50) + 1; fmpq_poly_init(a); fmpq_poly_init(b); fmpq_poly_init(q); fmpq_poly_randtest(a, state, n_randint(state, 50) + 1, 80); fmpq_poly_randtest_not_zero(b, state, n_randint(state, 50) + 1, 80); fmpq_poly_set_coeff_ui(b, 0, 1); fmpq_poly_div_series(q, a, b, n); fmpq_poly_div_series(b, a, b, n); cflags |= fmpq_poly_is_canonical(q) ? 0 : 1; cflags |= fmpq_poly_is_canonical(b) ? 0 : 2; result = (fmpq_poly_equal(q, b)) && !cflags; if (!result) { flint_printf("FAIL (alias q and b):\n"); flint_printf("a = "), fmpq_poly_debug(a), flint_printf("\n\n"); flint_printf("b = "), fmpq_poly_debug(b), flint_printf("\n\n"); flint_printf("q = "), fmpq_poly_debug(q), flint_printf("\n\n"); flint_printf("cflags = %wu\n\n", cflags); abort(); } fmpq_poly_clear(a); fmpq_poly_clear(b); fmpq_poly_clear(q); } /* Check that Q * B == A */ for (i = 0; i < 100 * flint_test_multiplier(); i++) { fmpq_poly_t a, b, p, q; slong n = n_randint(state, 50) + 1; fmpq_poly_init(a); fmpq_poly_init(b); fmpq_poly_init(p); fmpq_poly_init(q); fmpq_poly_randtest(a, state, n_randint(state, 50) + 1, 80); fmpq_poly_randtest_not_zero(b, state, n_randint(state, 50) + 1, 80); fmpq_poly_set_coeff_ui(b, 0, 1); fmpq_poly_div_series(q, a, b, n); fmpq_poly_mullow(p, q, b, n); fmpq_poly_truncate(a, n); cflags |= fmpq_poly_is_canonical(q) ? 0 : 1; cflags |= fmpq_poly_is_canonical(p) ? 0 : 2; cflags |= fmpq_poly_is_canonical(a) ? 0 : 4; result = (fmpq_poly_equal(p, a)) && !cflags; if (!result) { flint_printf("FAIL (check Q * B = A):\n"); flint_printf("a = "), fmpq_poly_debug(a), flint_printf("\n\n"); flint_printf("b = "), fmpq_poly_debug(b), flint_printf("\n\n"); flint_printf("p = "), fmpq_poly_debug(p), flint_printf("\n\n"); flint_printf("q = "), fmpq_poly_debug(q), flint_printf("\n\n"); flint_printf("cflags = %wu\n\n", cflags); abort(); } fmpq_poly_clear(a); fmpq_poly_clear(b); fmpq_poly_clear(p); fmpq_poly_clear(q); } FLINT_TEST_CLEANUP(state); flint_printf("PASS\n"); return 0; }