/*============================================================================= 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) 2011 Fredrik Johansson Copyright (C) 2013 Martin Lee ******************************************************************************/ #undef ulong #define ulong ulongxx/* interferes with system includes */ #include #include #undef ulong #include #define ulong mp_limb_t #include "flint.h" #include "nmod_vec.h" #include "nmod_poly.h" #include "ulong_extras.h" int main(void) { int i, result; FLINT_TEST_INIT(state); flint_printf("powmod_x_ui_preinv...."); fflush(stdout); /* No aliasing */ for (i = 0; i < 100 * flint_test_multiplier(); i++) { nmod_poly_t a, res1, res2, t, f, finv; mp_limb_t n; ulong exp; n = n_randtest_prime(state, 0); exp = n_randlimb(state) % 32; nmod_poly_init(f, n); nmod_poly_init(finv, n); nmod_poly_init(res1, n); nmod_poly_init(res2, n); nmod_poly_init(t, n); do { nmod_poly_randtest(f, state, n_randint(state, 50)); } while (nmod_poly_is_zero(f)); nmod_poly_reverse(finv, f, f->length); nmod_poly_inv_series(finv, finv, f->length); nmod_poly_init2 (a, n, f->length-1); nmod_poly_set_coeff_ui (a, 1, 1); nmod_poly_powmod_x_ui_preinv(res1, exp, f, finv); nmod_poly_powmod_ui_binexp_preinv (res2, a, exp, f, finv); result = (nmod_poly_equal(res1, res2)); if (!result) { flint_printf("FAIL:\n"); flint_printf("exp: %wu\n\n", exp); flint_printf("a:\n"); nmod_poly_print(a), flint_printf("\n\n"); flint_printf("f:\n"); nmod_poly_print(f), flint_printf("\n\n"); flint_printf("res1:\n"); nmod_poly_print(res1), flint_printf("\n\n"); flint_printf("res2:\n"); nmod_poly_print(res2), flint_printf("\n\n"); abort(); } nmod_poly_clear(a); nmod_poly_clear(f); nmod_poly_clear(finv); nmod_poly_clear(res1); nmod_poly_clear(res2); nmod_poly_clear(t); } /* Aliasing of res and f */ for (i = 0; i < 50 * flint_test_multiplier(); i++) { nmod_poly_t res1, t, f, finv; mp_limb_t n; ulong exp; n = n_randtest_prime(state, 0); exp = n_randlimb(state) % 32; nmod_poly_init(f, n); nmod_poly_init(finv, n); nmod_poly_init(res1, n); nmod_poly_init(t, n); do { nmod_poly_randtest(f, state, n_randint(state, 50)); } while (nmod_poly_is_zero(f)); nmod_poly_reverse(finv, f, f->length); nmod_poly_inv_series(finv, finv, f->length); nmod_poly_powmod_x_ui_preinv(res1, exp, f, finv); nmod_poly_powmod_x_ui_preinv(f, exp, f, finv); result = (nmod_poly_equal(res1, f)); if (!result) { flint_printf("FAIL:\n"); flint_printf("exp: %wu\n\n", exp); flint_printf("f:\n"); nmod_poly_print(f), flint_printf("\n\n"); flint_printf("res1:\n"); nmod_poly_print(res1), flint_printf("\n\n"); abort(); } nmod_poly_clear(f); nmod_poly_clear(finv); nmod_poly_clear(res1); nmod_poly_clear(t); } /* Aliasing of res and finv */ for (i = 0; i < 50 * flint_test_multiplier(); i++) { nmod_poly_t res1, t, f, finv; mp_limb_t n; ulong exp; n = n_randtest_prime(state, 0); exp = n_randlimb(state) % 32; nmod_poly_init(f, n); nmod_poly_init(finv, n); nmod_poly_init(res1, n); nmod_poly_init(t, n); do { nmod_poly_randtest(f, state, n_randint(state, 50)); } while (nmod_poly_is_zero(f)); nmod_poly_reverse(finv, f, f->length); nmod_poly_inv_series(finv, finv, f->length); nmod_poly_powmod_x_ui_preinv(res1, exp, f, finv); nmod_poly_powmod_x_ui_preinv(finv, exp, f, finv); result = (nmod_poly_equal(res1, finv)); if (!result) { flint_printf("FAIL:\n"); flint_printf("exp: %wu\n\n", exp); flint_printf("f:\n"); nmod_poly_print(f), flint_printf("\n\n"); flint_printf("finv:\n"); nmod_poly_print(finv), flint_printf("\n\n"); flint_printf("res1:\n"); nmod_poly_print(res1), flint_printf("\n\n"); abort(); } nmod_poly_clear(f); nmod_poly_clear(finv); nmod_poly_clear(res1); nmod_poly_clear(t); } FLINT_TEST_CLEANUP(state); flint_printf("PASS\n"); return 0; }