/* Copyright (C) 1509 William Hart Copyright (C) 2010 Sebastian Pancratz This file is part of FLINT. FLINT is free software: you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License (LGPL) as published by the Free Software Foundation; either version 2.1 of the License, or (at your option) any later version. See . */ #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("evaluate_mpq...."); fflush(stdout); /* Check aliasing */ for (i = 0; i < 75 * flint_test_multiplier(); i++) { fmpz_t a, b; mpq_t x, y; fmpz_poly_t f; fmpz_init(a); fmpz_init(b); mpq_init(x); mpq_init(y); fmpz_poly_init(f); fmpz_poly_randtest(f, state, n_randint(state, 100), 150); fmpz_randtest(a, state, 100); fmpz_randtest_not_zero(b, state, 100); fmpz_get_mpz(mpq_numref(x), a); fmpz_get_mpz(mpq_denref(x), b); mpq_canonicalize(x); fmpz_poly_evaluate_mpq(y, f, x); fmpz_poly_evaluate_mpq(x, f, x); result = (mpq_equal(x, y)); if (!result) { flint_printf("FAIL:\n"); fmpz_print(a), flint_printf("\n\n"); fmpz_print(b), flint_printf("\n\n"); fmpz_poly_print(f), flint_printf("\n\n"); abort(); } fmpz_clear(a); fmpz_clear(b); mpq_clear(x); mpq_clear(y); fmpz_poly_clear(f); } /* Check that (f+g)(a) = f(a) + g(a) */ for (i = 0; i < 75 * flint_test_multiplier(); i++) { fmpz_t a, b; mpq_t x, y, z; fmpz_poly_t f, g; fmpz_init(a); fmpz_init(b); mpq_init(x); mpq_init(y); mpq_init(z); fmpz_poly_init(f); fmpz_poly_init(g); fmpz_poly_randtest(f, state, n_randint(state, 100), 150); fmpz_poly_randtest(g, state, n_randint(state, 100), 150); fmpz_randtest(a, state, 100); fmpz_randtest_not_zero(b, state, 100); fmpz_get_mpz(mpq_numref(x), a); fmpz_get_mpz(mpq_denref(x), b); mpq_canonicalize(x); fmpz_poly_evaluate_mpq(y, f, x); fmpz_poly_evaluate_mpq(z, g, x); mpq_add(y, y, z); fmpz_poly_add(f, f, g); fmpz_poly_evaluate_mpq(z, f, x); result = (mpq_equal(y, z)); if (!result) { flint_printf("FAIL:\n"); fmpz_print(a), flint_printf("\n\n"); fmpz_print(b), flint_printf("\n\n"); abort(); } fmpz_clear(a); fmpz_clear(b); mpq_clear(x); mpq_clear(y); mpq_clear(z); fmpz_poly_clear(f); fmpz_poly_clear(g); } /* Check that (f*g)(a) = f(a) * g(a) */ for (i = 0; i < 75 * flint_test_multiplier(); i++) { fmpz_t a, b; mpq_t x, y, z; fmpz_poly_t f, g; fmpz_init(a); fmpz_init(b); mpq_init(x); mpq_init(y); mpq_init(z); fmpz_poly_init(f); fmpz_poly_init(g); fmpz_poly_randtest(f, state, n_randint(state, 50), 100); fmpz_poly_randtest(g, state, n_randint(state, 50), 100); fmpz_randtest(a, state, 100); fmpz_randtest_not_zero(b, state, 100); fmpz_get_mpz(mpq_numref(x), a); fmpz_get_mpz(mpq_denref(x), b); mpq_canonicalize(x); fmpz_poly_evaluate_mpq(y, f, x); fmpz_poly_evaluate_mpq(z, g, x); mpq_mul(y, y, z); fmpz_poly_mul(f, f, g); fmpz_poly_evaluate_mpq(z, f, x); result = (mpq_equal(y, z)); if (!result) { flint_printf("FAIL:\n"); fmpz_print(a), flint_printf("\n\n"); fmpz_print(b), flint_printf("\n\n"); abort(); } fmpz_clear(a); fmpz_clear(b); mpq_clear(x); mpq_clear(y); mpq_clear(z); fmpz_poly_clear(f); fmpz_poly_clear(g); } FLINT_TEST_CLEANUP(state); flint_printf("PASS\n"); return 0; }