/* Copyright (C) 2012 Fredrik Johansson This file is part of Arb. Arb 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 "acb.h" int main() { slong iter, iter2; flint_rand_t state; flint_printf("mul...."); fflush(stdout); flint_randinit(state); /* test aliasing of c and a */ for (iter = 0; iter < 100000 * arb_test_multiplier(); iter++) { acb_t a, b, c; slong prec; acb_init(a); acb_init(b); acb_init(c); acb_randtest(a, state, 1 + n_randint(state, 200), 10); acb_randtest(b, state, 1 + n_randint(state, 200), 10); acb_randtest(c, state, 1 + n_randint(state, 200), 10); prec = 2 + n_randint(state, 200); acb_mul(c, a, b, prec); acb_mul(a, a, b, prec); if (!acb_equal(a, c)) { flint_printf("FAIL: aliasing c, a\n\n"); flint_printf("a = "); acb_print(a); flint_printf("\n\n"); flint_printf("b = "); acb_print(b); flint_printf("\n\n"); flint_printf("c = "); acb_print(c); flint_printf("\n\n"); flint_abort(); } acb_clear(a); acb_clear(b); acb_clear(c); } /* test aliasing of c and b */ for (iter = 0; iter < 100000 * arb_test_multiplier(); iter++) { acb_t a, b, c; slong prec; acb_init(a); acb_init(b); acb_init(c); acb_randtest(a, state, 1 + n_randint(state, 200), 10); acb_randtest(b, state, 1 + n_randint(state, 200), 10); acb_randtest(c, state, 1 + n_randint(state, 200), 10); prec = 2 + n_randint(state, 200); acb_mul(c, a, b, prec); acb_mul(b, a, b, prec); if (!acb_equal(b, c)) { flint_printf("FAIL: aliasing b, a\n\n"); flint_printf("a = "); acb_print(a); flint_printf("\n\n"); flint_printf("b = "); acb_print(b); flint_printf("\n\n"); flint_printf("c = "); acb_print(c); flint_printf("\n\n"); flint_abort(); } acb_clear(a); acb_clear(b); acb_clear(c); } /* test aliasing a, a */ for (iter = 0; iter < 100000 * arb_test_multiplier(); iter++) { acb_t a, b, c, d; slong prec; acb_init(a); acb_init(b); acb_init(c); acb_init(d); acb_randtest(a, state, 1 + n_randint(state, 200), 10); acb_randtest(b, state, 1 + n_randint(state, 200), 10); acb_randtest(c, state, 1 + n_randint(state, 200), 10); prec = 2 + n_randint(state, 200); acb_set(b, a); acb_mul(c, a, a, prec); acb_mul(d, a, b, prec); if (!acb_overlaps(c, d)) { flint_printf("FAIL: aliasing a, a\n\n"); flint_printf("a = "); acb_print(a); flint_printf("\n\n"); flint_printf("b = "); acb_print(b); flint_printf("\n\n"); flint_printf("c = "); acb_print(c); flint_printf("\n\n"); flint_printf("d = "); acb_print(d); flint_printf("\n\n"); flint_abort(); } acb_clear(a); acb_clear(b); acb_clear(c); acb_clear(d); } /* test aliasing a, a, a */ for (iter = 0; iter < 100000 * arb_test_multiplier(); iter++) { acb_t a, b, c; slong prec; acb_init(a); acb_init(b); acb_init(c); acb_randtest(a, state, 1 + n_randint(state, 200), 10); acb_randtest(b, state, 1 + n_randint(state, 200), 10); acb_randtest(c, state, 1 + n_randint(state, 200), 10); prec = 2 + n_randint(state, 200); acb_set(b, a); acb_mul(c, a, b, prec); acb_mul(a, a, a, prec); if (!acb_overlaps(a, c)) { flint_printf("FAIL: aliasing a, a, a\n\n"); flint_printf("a = "); acb_print(a); flint_printf("\n\n"); flint_printf("b = "); acb_print(b); flint_printf("\n\n"); flint_printf("c = "); acb_print(c); flint_printf("\n\n"); flint_abort(); } acb_clear(a); acb_clear(b); acb_clear(c); } /* test a*(b+c) = a*b + a*c */ for (iter = 0; iter < 100000 * arb_test_multiplier(); iter++) { acb_t a, b, c, d, e, f; acb_init(a); acb_init(b); acb_init(c); acb_init(d); acb_init(e); acb_init(f); acb_randtest(a, state, 1 + n_randint(state, 200), 10); acb_randtest(b, state, 1 + n_randint(state, 200), 10); acb_randtest(c, state, 1 + n_randint(state, 200), 10); acb_add(d, b, c, 2 + n_randint(state, 200)); acb_mul(e, a, d, 2 + n_randint(state, 200)); acb_mul(d, a, b, 2 + n_randint(state, 200)); acb_mul(f, a, c, 2 + n_randint(state, 200)); acb_add(f, d, f, 2 + n_randint(state, 200)); if (!acb_overlaps(e, f)) { flint_printf("FAIL: a*(b+c) = a*b + a*c\n\n"); flint_printf("a = "); acb_print(a); flint_printf("\n\n"); flint_printf("b = "); acb_print(b); flint_printf("\n\n"); flint_printf("c = "); acb_print(c); flint_printf("\n\n"); flint_printf("e = "); acb_print(e); flint_printf("\n\n"); flint_printf("f = "); acb_print(f); flint_printf("\n\n"); flint_abort(); } acb_clear(a); acb_clear(b); acb_clear(c); acb_clear(d); acb_clear(e); acb_clear(f); } /* compare with mul_naive */ /* main test */ for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++) { acb_t x, y, z, v; slong prec; acb_init(x); acb_init(y); acb_init(z); acb_init(v); for (iter2 = 0; iter2 < 100; iter2++) { acb_randtest_special(x, state, n_randint(state,2) ? 2000 : 200, 200); acb_randtest_special(y, state, n_randint(state,2) ? 2000 : 200, 200); prec = 2 + n_randint(state, 2000); switch (n_randint(state, 5)) { case 0: acb_mul(z, x, y, prec); acb_mul_naive(v, x, y, prec); if (!acb_overlaps(z, v)) { flint_printf("FAIL!\n"); flint_printf("x = "); acb_print(x); flint_printf("\n\n"); flint_printf("y = "); acb_print(y); flint_printf("\n\n"); flint_printf("z = "); acb_print(z); flint_printf("\n\n"); flint_printf("v = "); acb_print(v); flint_printf("\n\n"); flint_abort(); } break; case 1: acb_set(y, x); acb_mul(z, x, y, prec); acb_mul(v, x, x, prec); if (!acb_overlaps(z, v)) { flint_printf("FAIL (aliasing 1)!\n"); flint_printf("x = "); acb_print(x); flint_printf("\n\n"); flint_printf("z = "); acb_print(z); flint_printf("\n\n"); flint_printf("v = "); acb_print(v); flint_printf("\n\n"); flint_abort(); } break; case 2: acb_mul(v, x, x, prec); acb_mul(x, x, x, prec); if (!acb_equal(v, x)) { flint_printf("FAIL (aliasing 2)!\n"); flint_printf("x = "); acb_print(x); flint_printf("\n\n"); flint_printf("z = "); acb_print(z); flint_printf("\n\n"); flint_printf("v = "); acb_print(v); flint_printf("\n\n"); flint_abort(); } break; case 3: acb_mul(v, x, y, prec); acb_mul(x, x, y, prec); if (!acb_equal(v, x)) { flint_printf("FAIL (aliasing 3)!\n"); flint_printf("x = "); acb_print(x); flint_printf("\n\n"); flint_printf("y = "); acb_print(y); flint_printf("\n\n"); flint_printf("v = "); acb_print(v); flint_printf("\n\n"); flint_abort(); } break; default: acb_mul(v, x, y, prec); acb_mul(x, y, x, prec); if (!acb_overlaps(v, x)) { flint_printf("FAIL (aliasing 4)!\n"); flint_printf("x = "); acb_print(x); flint_printf("\n\n"); flint_printf("y = "); acb_print(y); flint_printf("\n\n"); flint_printf("v = "); acb_print(v); flint_printf("\n\n"); flint_abort(); } break; } } acb_clear(x); acb_clear(y); acb_clear(z); acb_clear(v); } flint_randclear(state); flint_cleanup(); flint_printf("PASS\n"); return EXIT_SUCCESS; }