/*============================================================================= 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 "fmpq_poly.h" #include "long_extras.h" #include "ulong_extras.h" int main(void) { int i, result; ulong cflags = UWORD(0); FLINT_TEST_INIT(state); flint_printf("scalar_mul_mpq...."); fflush(stdout); /* Check aliasing of a and b */ for (i = 0; i < 1000 * flint_test_multiplier(); i++) { fmpq_poly_t a, b; fmpz_t r, s; mpq_t z; mpq_init(z); fmpz_init(r); fmpz_init(s); fmpz_randtest(r, state, 100); fmpz_randtest_not_zero(s, state, 100); fmpz_get_mpz(mpq_numref(z), r); fmpz_get_mpz(mpq_denref(z), s); mpq_canonicalize(z); fmpq_poly_init(a); fmpq_poly_init(b); fmpq_poly_randtest(a, state, n_randint(state, 100), 200); fmpq_poly_scalar_mul_mpq(b, a, z); fmpq_poly_scalar_mul_mpq(a, a, z); cflags |= fmpq_poly_is_canonical(a) ? 0 : 1; cflags |= fmpq_poly_is_canonical(b) ? 0 : 2; result = (fmpq_poly_equal(a, b) && !cflags); if (!result) { flint_printf("FAIL (aliasing):\n\n"); fmpq_poly_debug(a), flint_printf("\n\n"); fmpq_poly_debug(b), flint_printf("\n\n"); gmp_printf("z = %Qd\n\n", z); flint_printf("cflags = %wu\n\n", cflags); abort(); } mpq_clear(z); fmpz_clear(r); fmpz_clear(s); fmpq_poly_clear(a); fmpq_poly_clear(b); } /* Check that (a * n1) * n2 == a * (n1 * n2) */ for (i = 0; i < 1000 * flint_test_multiplier(); i++) { fmpq_poly_t a, lhs, rhs; fmpz_t r, s; mpq_t z1, z2, z; fmpz_init(r); fmpz_init(s); mpq_init(z1); mpq_init(z2); mpq_init(z); fmpz_randtest(r, state, 100); fmpz_randtest_not_zero(s, state, 100); fmpz_get_mpz(mpq_numref(z1), r); fmpz_get_mpz(mpq_denref(z1), s); mpq_canonicalize(z1); fmpz_randtest(r, state, 100); fmpz_randtest_not_zero(s, state, 100); fmpz_get_mpz(mpq_numref(z2), r); fmpz_get_mpz(mpq_denref(z2), s); mpq_canonicalize(z2); mpq_mul(z, z1, z2); fmpq_poly_init(a); fmpq_poly_init(lhs); fmpq_poly_init(rhs); fmpq_poly_randtest(a, state, n_randint(state, 100), 200); fmpq_poly_scalar_mul_mpq(lhs, a, z1); fmpq_poly_scalar_mul_mpq(lhs, lhs, z2); fmpq_poly_scalar_mul_mpq(rhs, a, z); cflags |= fmpq_poly_is_canonical(lhs) ? 0 : 1; cflags |= fmpq_poly_is_canonical(rhs) ? 0 : 2; result = (fmpq_poly_equal(lhs, rhs) && !cflags); if (!result) { flint_printf("FAIL (a * n1 * n2):\n"); fmpq_poly_debug(a), flint_printf("\n\n"); gmp_printf("z1 = %Qd\n\n", z1); gmp_printf("z2 = %Qd\n\n", z2); gmp_printf("z = %Qd\n\n", z); fmpq_poly_debug(lhs), flint_printf("\n\n"); fmpq_poly_debug(rhs), flint_printf("\n\n"); flint_printf("cflags = %wu\n\n", cflags); abort(); } mpq_clear(z1); mpq_clear(z2); mpq_clear(z); fmpz_clear(r); fmpz_clear(s); fmpq_poly_clear(a); fmpq_poly_clear(lhs); fmpq_poly_clear(rhs); } /* Check that (a + b) * n == a*n + b*n */ for (i = 0; i < 1000 * flint_test_multiplier(); i++) { fmpq_poly_t a, b, lhs, rhs; fmpz_t r, s; mpq_t z; fmpz_init(r); fmpz_init(s); mpq_init(z); fmpz_randtest(r, state, 100); fmpz_randtest_not_zero(s, state, 100); fmpz_get_mpz(mpq_numref(z), r); fmpz_get_mpz(mpq_denref(z), s); mpq_canonicalize(z); fmpq_poly_init(a); fmpq_poly_init(b); fmpq_poly_init(lhs); fmpq_poly_init(rhs); fmpq_poly_randtest(a, state, n_randint(state, 100), 200); fmpq_poly_randtest(b, state, n_randint(state, 100), 200); fmpq_poly_scalar_mul_mpq(lhs, a, z); fmpq_poly_scalar_mul_mpq(rhs, b, z); fmpq_poly_add(rhs, lhs, rhs); fmpq_poly_add(lhs, a, b); fmpq_poly_scalar_mul_mpq(lhs, lhs, z); cflags |= fmpq_poly_is_canonical(lhs) ? 0 : 1; cflags |= fmpq_poly_is_canonical(rhs) ? 0 : 2; result = (fmpq_poly_equal(lhs, rhs) && !cflags); if (!result) { flint_printf("FAIL ((a + b) / n):\n"); fmpq_poly_debug(a), flint_printf("\n\n"); fmpq_poly_debug(b), flint_printf("\n\n"); gmp_printf("z = %Qd\n\n", z); fmpq_poly_debug(lhs), flint_printf("\n\n"); fmpq_poly_debug(rhs), flint_printf("\n\n"); flint_printf("cflags = %wu\n\n", cflags); abort(); } mpq_clear(z); fmpz_clear(r); fmpz_clear(s); fmpq_poly_clear(a); fmpq_poly_clear(b); fmpq_poly_clear(lhs); fmpq_poly_clear(rhs); } FLINT_TEST_CLEANUP(state); flint_printf("PASS\n"); return 0; }