/* Copyright (C) 2010 Fredrik Johansson 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 "templates.h" #include #include #include int main(void) { TEMPLATE(T, mat_t) A, B, C, I; TEMPLATE(T, ctx_t) ctx; slong i, j, m, r; int result; FLINT_TEST_INIT(state); flint_printf("inv...."); fflush(stdout); for (i = 0; i < 5 * flint_test_multiplier(); i++) { m = n_randint(state, 20); TEMPLATE(T, ctx_randtest) (ctx, state); TEMPLATE(T, mat_init)(A, m, m, ctx); TEMPLATE(T, mat_init)(B, m, m, ctx); TEMPLATE(T, mat_init)(C, m, m, ctx); TEMPLATE(T, mat_init)(I, m, m, ctx); for (j = 0; j < m; j++) TEMPLATE(T, one)(TEMPLATE(T, mat_entry)(I, j, j), ctx); /* Verify that A * A^-1 = I for random matrices */ TEMPLATE(T, mat_randrank)(A, state, m, ctx); /* Dense or sparse? */ if (n_randint(state, 2)) TEMPLATE(T, mat_randops)(A, 1+n_randint(state, 1+m*m), state, ctx); result = TEMPLATE(T, mat_inv)(B, A, ctx); TEMPLATE(T, mat_mul)(C, A, B, ctx); if (!TEMPLATE(T, mat_equal)(C, I, ctx) || !result) { flint_printf("FAIL:\n"); flint_printf("A * A^-1 != I!\n"); flint_printf("A:\n"); TEMPLATE(T, mat_print_pretty)(A, ctx); flint_printf("A^-1:\n"); TEMPLATE(T, mat_print_pretty)(B, ctx); flint_printf("A * A^-1:\n"); TEMPLATE(T, mat_print_pretty)(C, ctx); flint_printf("\n"); abort(); } /* Test aliasing */ TEMPLATE(T, mat_set)(C, A, ctx); TEMPLATE(T, mat_inv)(A, A, ctx); TEMPLATE(T, mat_mul)(B, A, C, ctx); if (!TEMPLATE(T, mat_equal)(B, I, ctx)) { flint_printf("FAIL:\n"); flint_printf("aliasing failed!\n"); TEMPLATE(T, mat_print_pretty)(C, ctx); abort(); } TEMPLATE(T, mat_clear)(A, ctx); TEMPLATE(T, mat_clear)(B, ctx); TEMPLATE(T, mat_clear)(C, ctx); TEMPLATE(T, mat_clear)(I, ctx); TEMPLATE(T, ctx_clear) (ctx); } /* Test singular systems */ for (i = 0; i < 1000 * flint_test_multiplier(); i++) { m = 1 + n_randint(state, 20); r = n_randint(state, m); TEMPLATE(T, ctx_randtest) (ctx, state); TEMPLATE(T, mat_init)(A, m, m, ctx); TEMPLATE(T, mat_init)(B, m, m, ctx); TEMPLATE(T, mat_randrank)(A, state, r, ctx); /* Dense */ if (n_randint(state, 2)) TEMPLATE(T, mat_randops)(A, 1+n_randint(state, 1+m*m), state, ctx); result = TEMPLATE(T, mat_inv)(B, A, ctx); if (result) { flint_printf("FAIL:\n"); flint_printf("singular matrix reported as invertible\n"); abort(); } /* Aliasing */ result = TEMPLATE(T, mat_inv)(A, A, ctx); if (result) { flint_printf("FAIL:\n"); flint_printf("singular matrix reported as invertible\n"); abort(); } TEMPLATE(T, mat_clear)(A, ctx); TEMPLATE(T, mat_clear)(B, ctx); TEMPLATE(T, ctx_clear) (ctx); } FLINT_TEST_CLEANUP(state); flint_printf("PASS\n"); return 0; }