void
acb_dirichlet_l_general(acb_t res, const acb_t s,
const dirichlet_group_t G, const dirichlet_char_t chi, slong prec)
{
/* this cutoff is probably too conservative when q is large */
if (arf_cmp_d(arb_midref(acb_realref(s)), 8 + 0.5 * prec / log(prec)) >= 0)
{
acb_dirichlet_l_euler_product(res, s, G, chi, prec);
}
else
{
slong wp = prec + n_clog(G->phi_q, 2);
acb_dirichlet_hurwitz_precomp_t pre;
acb_dirichlet_hurwitz_precomp_init_num(pre, s, acb_is_one(s), G->phi_q, wp);
acb_dirichlet_l_hurwitz(res, s, pre, G, chi, prec);
acb_dirichlet_hurwitz_precomp_clear(pre);
}
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("l_euler_product....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 500 * arb_test_multiplier(); iter++)
{
acb_t s, t, u;
dirichlet_group_t G;
dirichlet_char_t chi;
ulong q, k;
slong prec;
acb_init(s);
acb_init(t);
acb_init(u);
q = 1 + n_randint(state, 50);
prec = 2 + n_randint(state, 500);
k = n_randint(state, n_euler_phi(q));
dirichlet_group_init(G, q);
dirichlet_char_init(chi, G);
dirichlet_char_index(chi, G, k);
if (n_randint(state, 2))
{
acb_set_ui(s, 2 + n_randint(state, prec + 50));
}
else
{
acb_randtest(s, state, 2 + n_randint(state, 200), 2);
arb_abs(acb_realref(s), acb_realref(s));
if (n_randint(state, 2))
acb_add_ui(s, s, n_randtest(state), prec);
}
if (n_randint(state, 2))
acb_dirichlet_l_hurwitz(t, s, NULL, G, chi, prec);
else
acb_dirichlet_l_euler_product(t, s, G, chi, prec * 1.5);
acb_dirichlet_l_euler_product(u, s, G, chi, prec);
if (!acb_overlaps(t, u))
{
flint_printf("FAIL: overlap\n\n");
flint_printf("iter = %ld q = %lu k = %lu prec = %ld\n\n", iter, q, k, prec);
flint_printf("s = "); acb_printn(s, 100, 0); flint_printf("\n\n");
flint_printf("t = "); acb_printn(t, 100, 0); flint_printf("\n\n");
flint_printf("u = "); acb_printn(u, 100, 0); flint_printf("\n\n");
abort();
}
dirichlet_char_clear(chi);
dirichlet_group_clear(G);
acb_clear(s);
acb_clear(t);
acb_clear(u);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
