/*============================================================================= 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 William Hart Copyright (C) 2012 Andres Goens Copyright (C) 2013 Mike Hansen ******************************************************************************/ #ifdef T #include "templates.h" #include #include int main(void) { int i, result; FLINT_TEST_INIT(state); flint_printf("gcd_euclidean...."); fflush(stdout); /* Check that gcd(a,a) = a (made monic) */ for (i = 0; i < 100 * flint_test_multiplier(); i++) { slong len; TEMPLATE(T, ctx_t) ctx; TEMPLATE(T, poly_t) a, b, g; len = n_randint(state, 15) + 1; TEMPLATE(T, ctx_randtest) (ctx, state); TEMPLATE(T, poly_init) (a, ctx); TEMPLATE(T, poly_init) (b, ctx); TEMPLATE(T, poly_init) (g, ctx); TEMPLATE(T, poly_randtest_not_zero) (a, state, len, ctx); TEMPLATE(T, poly_make_monic) (b, a, ctx); TEMPLATE(T, poly_gcd_euclidean) (g, a, a, ctx); result = (TEMPLATE(T, poly_equal) (g, b, ctx)); if (!result) { flint_printf("FAIL:\n"); flint_printf("a = "), TEMPLATE(T, poly_print_pretty) (a, "X", ctx), flint_printf("\n"); flint_printf("b = "), TEMPLATE(T, poly_print_pretty) (b, "X", ctx), flint_printf("\n"); flint_printf("g = "), TEMPLATE(T, poly_print_pretty) (g, "X", ctx), flint_printf("\n"); abort(); } TEMPLATE(T, poly_clear) (a, ctx); TEMPLATE(T, poly_clear) (b, ctx); TEMPLATE(T, poly_clear) (g, ctx); } /* Find coprime polys, multiply by another poly and check the GCD is that poly */ for (i = 0; i < 10 * flint_test_multiplier(); i++) { slong len, j; TEMPLATE(T, ctx_t) ctx; TEMPLATE(T, poly_t) a, b, c, g; len = n_randint(state, 15) + 1; TEMPLATE(T, ctx_randtest) (ctx, state); TEMPLATE(T, poly_init) (a, ctx); TEMPLATE(T, poly_init) (b, ctx); TEMPLATE(T, poly_init) (c, ctx); TEMPLATE(T, poly_init) (g, ctx); TEMPLATE(T, poly_randtest_not_zero) (a, state, len, ctx); for (j = 0; (j < 100 * flint_test_multiplier()) && !TEMPLATE(T, poly_is_one) (g, ctx); j++) { TEMPLATE(T, poly_randtest_not_zero) (b, state, len, ctx); TEMPLATE(T, poly_gcd_euclidean) (g, a, b, ctx); } if (!TEMPLATE(T, poly_is_one) (g, ctx)) { flint_printf("FAIL:\n"); flint_printf ("could not find coprime polynomials after %wd tries\n", j + 1); abort(); } for (j = 0; (j < 100 * flint_test_multiplier()) && (c->length < 2); j++) TEMPLATE(T, poly_randtest_not_zero) (c, state, len + 2, ctx); if (c->length < 2) { flint_printf("FAIL:\n"); flint_printf ("could not find non-unit polynomial after %wd tries\n", j + 1); abort(); } TEMPLATE(T, poly_make_monic) (c, c, ctx); TEMPLATE(T, poly_mul) (a, a, c, ctx); TEMPLATE(T, poly_mul) (b, b, c, ctx); TEMPLATE(T, poly_gcd_euclidean) (g, a, b, ctx); result = (TEMPLATE(T, poly_equal) (g, c, ctx)); if (!result) { flint_printf("FAIL:\n"); flint_printf("a = "), TEMPLATE(T, poly_print_pretty) (a, "X", ctx), flint_printf("\n"); flint_printf("b = "), TEMPLATE(T, poly_print_pretty) (b, "X", ctx), flint_printf("\n"); flint_printf("c = "), TEMPLATE(T, poly_print_pretty) (c, "X", ctx), flint_printf("\n"); flint_printf("g = "), TEMPLATE(T, poly_print_pretty) (g, "X", ctx), flint_printf("\n"); abort(); } TEMPLATE(T, poly_clear) (a, ctx); TEMPLATE(T, poly_clear) (b, ctx); TEMPLATE(T, poly_clear) (c, ctx); TEMPLATE(T, poly_clear) (g, ctx); TEMPLATE(T, ctx_clear) (ctx); } /* Check aliasing of a and g */ for (i = 0; i < 100 * flint_test_multiplier(); i++) { slong len; TEMPLATE(T, ctx_t) ctx; TEMPLATE(T, poly_t) a, b, g; len = n_randint(state, 15) + 1; TEMPLATE(T, ctx_randtest) (ctx, state); TEMPLATE(T, poly_init) (a, ctx); TEMPLATE(T, poly_init) (b, ctx); TEMPLATE(T, poly_init) (g, ctx); TEMPLATE(T, poly_randtest_not_zero) (a, state, len, ctx); TEMPLATE(T, poly_randtest_not_zero) (b, state, len, ctx); TEMPLATE(T, poly_gcd_euclidean) (g, a, b, ctx); TEMPLATE(T, poly_gcd_euclidean) (a, a, b, ctx); result = (TEMPLATE(T, poly_equal) (g, a, ctx)); if (!result) { flint_printf("FAIL:\n"); flint_printf("a = "), TEMPLATE(T, poly_print_pretty) (a, "X", ctx), flint_printf("\n"); flint_printf("b = "), TEMPLATE(T, poly_print_pretty) (b, "X", ctx), flint_printf("\n"); flint_printf("g = "), TEMPLATE(T, poly_print_pretty) (g, "X", ctx), flint_printf("\n"); abort(); } TEMPLATE(T, poly_clear) (a, ctx); TEMPLATE(T, poly_clear) (b, ctx); TEMPLATE(T, poly_clear) (g, ctx); TEMPLATE(T, ctx_clear) (ctx); } /* Check aliasing of b and g */ for (i = 0; i < 100 * flint_test_multiplier(); i++) { slong len; TEMPLATE(T, ctx_t) ctx; TEMPLATE(T, poly_t) a, b, g; len = n_randint(state, 15) + 1; TEMPLATE(T, ctx_randtest) (ctx, state); TEMPLATE(T, poly_init) (a, ctx); TEMPLATE(T, poly_init) (b, ctx); TEMPLATE(T, poly_init) (g, ctx); TEMPLATE(T, poly_randtest_not_zero) (a, state, len, ctx); TEMPLATE(T, poly_randtest_not_zero) (b, state, len, ctx); TEMPLATE(T, poly_gcd_euclidean) (g, a, b, ctx); TEMPLATE(T, poly_gcd_euclidean) (b, a, b, ctx); result = (TEMPLATE(T, poly_equal) (g, b, ctx)); if (!result) { flint_printf("FAIL:\n"); flint_printf("a = "), TEMPLATE(T, poly_print_pretty) (a, "X", ctx), flint_printf("\n"); flint_printf("b = "), TEMPLATE(T, poly_print_pretty) (b, "X", ctx), flint_printf("\n"); flint_printf("g = "), TEMPLATE(T, poly_print_pretty) (g, "X", ctx), flint_printf("\n"); abort(); } TEMPLATE(T, poly_clear) (a, ctx); TEMPLATE(T, poly_clear) (b, ctx); TEMPLATE(T, poly_clear) (g, ctx); TEMPLATE(T, ctx_clear) (ctx); } FLINT_TEST_CLEANUP(state); flint_printf("PASS\n"); return 0; } #endif