/* Copyright (C) 2013 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_dirichlet.h" int main() { slong iter; flint_rand_t state; flint_printf("hardy_theta_series...."); fflush(stdout); flint_randinit(state); for (iter = 0; iter < 100 * arb_test_multiplier(); iter++) { slong m, n1, n2, bits1, bits2, bits3; acb_poly_t S, A, B, C; dirichlet_group_t G; dirichlet_char_t chi; ulong q; bits1 = 2 + n_randint(state, 200); bits2 = 2 + n_randint(state, 200); bits3 = 2 + n_randint(state, 200); m = 1 + n_randint(state, 8); n1 = 1 + n_randint(state, 8); n2 = 1 + n_randint(state, 8); do { q = 1 + n_randint(state, 15); } while (q % 4 == 2); dirichlet_group_init(G, q); dirichlet_char_init(chi, G); do { dirichlet_char_index(chi, G, n_randint(state, G->phi_q)); } while (!dirichlet_char_is_primitive(G, chi)); acb_poly_init(S); acb_poly_init(A); acb_poly_init(B); acb_poly_init(C); acb_poly_randtest(S, state, m, bits1, 3); acb_dirichlet_hardy_theta_series(A, S, G, chi, n1, bits2); acb_poly_set(B, S); /* aliasing */ acb_dirichlet_hardy_theta_series(B, B, G, chi, n2, bits3); acb_poly_set(C, A); acb_poly_truncate(C, FLINT_MIN(n1, n2)); acb_poly_truncate(B, FLINT_MIN(n1, n2)); if (!acb_poly_overlaps(B, C)) { flint_printf("FAIL\n\n"); flint_printf("S = "); acb_poly_printd(S, 15); flint_printf("\n\n"); flint_printf("A = "); acb_poly_printd(A, 15); flint_printf("\n\n"); flint_printf("B = "); acb_poly_printd(B, 15); flint_printf("\n\n"); flint_abort(); } acb_poly_clear(S); acb_poly_clear(A); acb_poly_clear(B); acb_poly_clear(C); dirichlet_char_clear(chi); dirichlet_group_clear(G); } flint_randclear(state); flint_cleanup(); flint_printf("PASS\n"); return EXIT_SUCCESS; }