/*============================================================================= 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) 2011, 2010 Sebastian Pancratz Copyright (C) 2009 William Hart ******************************************************************************/ #include #include #include #include "flint.h" #include "fmpz.h" #include "fmpz_mod_poly.h" #include "ulong_extras.h" int main(void) { int i, result; FLINT_TEST_INIT(state); flint_printf("compose_horner...."); fflush(stdout); /* Check aliasing of a and c */ for (i = 0; i < 100; i++) { fmpz_t p; fmpz_mod_poly_t a, b, c; fmpz_init(p); fmpz_randtest_unsigned(p, state, 2 * FLINT_BITS); fmpz_add_ui(p, p, 2); fmpz_mod_poly_init(a, p); fmpz_mod_poly_init(b, p); fmpz_mod_poly_init(c, p); fmpz_mod_poly_randtest(a, state, n_randint(state, 80)); fmpz_mod_poly_randtest(b, state, n_randint(state, 30)); fmpz_mod_poly_compose_horner(c, a, b); fmpz_mod_poly_compose_horner(a, a, b); result = (fmpz_mod_poly_equal(a, c)); if (!result) { flint_printf("FAIL:\n"); fmpz_mod_poly_print(a), flint_printf("\n\n"); fmpz_mod_poly_print(b), flint_printf("\n\n"); fmpz_mod_poly_print(c), flint_printf("\n\n"); abort(); } fmpz_mod_poly_clear(a); fmpz_mod_poly_clear(b); fmpz_mod_poly_clear(c); fmpz_clear(p); } /* Check aliasing of b and c */ for (i = 0; i < 100; i++) { fmpz_t p; fmpz_mod_poly_t a, b, c; fmpz_init(p); fmpz_randtest_unsigned(p, state, 2 * FLINT_BITS); fmpz_add_ui(p, p, 2); fmpz_mod_poly_init(a, p); fmpz_mod_poly_init(b, p); fmpz_mod_poly_init(c, p); fmpz_mod_poly_randtest(a, state, n_randint(state, 80)); fmpz_mod_poly_randtest(b, state, n_randint(state, 30)); fmpz_mod_poly_compose_horner(c, a, b); fmpz_mod_poly_compose_horner(b, a, b); result = (fmpz_mod_poly_equal(b, c)); if (!result) { flint_printf("FAIL:\n"); fmpz_mod_poly_print(a), flint_printf("\n\n"); fmpz_mod_poly_print(b), flint_printf("\n\n"); fmpz_mod_poly_print(c), flint_printf("\n\n"); abort(); } fmpz_mod_poly_clear(a); fmpz_mod_poly_clear(b); fmpz_mod_poly_clear(c); fmpz_clear(p); } /* Compare with composition over Z[X] */ for (i = 0; i < 100; i++) { fmpz_t p; fmpz_mod_poly_t a, b, c, d; fmpz_poly_t A, B, C; fmpz_init(p); fmpz_randtest_unsigned(p, state, 2 * FLINT_BITS); fmpz_add_ui(p, p, 2); fmpz_mod_poly_init(a, p); fmpz_mod_poly_init(b, p); fmpz_mod_poly_init(c, p); fmpz_mod_poly_init(d, p); fmpz_mod_poly_randtest(a, state, n_randint(state, 80)); fmpz_mod_poly_randtest(b, state, n_randint(state, 30)); fmpz_poly_init(A); fmpz_poly_init(B); fmpz_poly_init(C); fmpz_mod_poly_get_fmpz_poly(A, a); fmpz_mod_poly_get_fmpz_poly(B, b); fmpz_mod_poly_compose_horner(c, a, b); fmpz_poly_compose(C, A, B); fmpz_mod_poly_set_fmpz_poly(d, C); result = (fmpz_mod_poly_equal(c, d)); if (!result) { flint_printf("FAIL:\n"); fmpz_mod_poly_print(a), flint_printf("\n\n"); fmpz_mod_poly_print(b), flint_printf("\n\n"); fmpz_mod_poly_print(c), flint_printf("\n\n"); fmpz_mod_poly_print(d), flint_printf("\n\n"); abort(); } fmpz_mod_poly_clear(a); fmpz_mod_poly_clear(b); fmpz_mod_poly_clear(c); fmpz_mod_poly_clear(d); fmpz_poly_clear(A); fmpz_poly_clear(B); fmpz_poly_clear(C); fmpz_clear(p); } FLINT_TEST_CLEANUP(state); flint_printf("PASS\n"); return 0; }