void
arb_hypgeom_hermite_h(arb_t res, const arb_t nu, const arb_t z, slong prec)
{
acb_t t, u;
acb_init(t);
acb_init(u);
arb_set(acb_realref(t), nu);
arb_set(acb_realref(u), z);
acb_hypgeom_hermite_h(t, t, u, prec);
if (acb_is_finite(t) && acb_is_real(t))
arb_swap(res, acb_realref(t));
else
arb_indeterminate(res);
acb_clear(t);
acb_clear(u);
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("hermite_h....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 1000 * arb_test_multiplier(); iter++)
{
acb_t n, n1, n2, z, res1, res2, res3, s;
slong prec1, prec2, prec3;
acb_init(n);
acb_init(n1);
acb_init(n2);
acb_init(z);
acb_init(res1);
acb_init(res2);
acb_init(res3);
acb_init(s);
prec1 = 2 + n_randint(state, 300);
prec2 = 2 + n_randint(state, 300);
prec3 = 2 + n_randint(state, 300);
acb_randtest_param(n, state, 1 + n_randint(state, 400), 10);
acb_sub_ui(n1, n, 1, prec1);
acb_sub_ui(n2, n, 2, prec1);
acb_randtest_param(z, state, 1 + n_randint(state, 400), 10);
acb_randtest_param(res1, state, 1 + n_randint(state, 400), 10);
acb_hypgeom_hermite_h(res1, n, z, prec1);
acb_hypgeom_hermite_h(res2, n1, z, prec2);
acb_hypgeom_hermite_h(res3, n2, z, prec3);
acb_mul(s, res2, z, prec1);
acb_submul(s, res3, n1, prec1);
acb_mul_2exp_si(s, s, 1);
if (!acb_overlaps(res1, s))
{
flint_printf("FAIL: consistency\n\n");
flint_printf("iter = %wd\n\n", iter);
flint_printf("n = "); acb_printd(n, 30); flint_printf("\n\n");
flint_printf("z = "); acb_printd(z, 30); flint_printf("\n\n");
flint_printf("res1 = "); acb_printd(res1, 30); flint_printf("\n\n");
flint_printf("res2 = "); acb_printd(res2, 30); flint_printf("\n\n");
flint_printf("res3 = "); acb_printd(res3, 30); flint_printf("\n\n");
flint_printf("s = "); acb_printd(s, 30); flint_printf("\n\n");
flint_abort();
}
acb_clear(n);
acb_clear(n1);
acb_clear(n2);
acb_clear(z);
acb_clear(res1);
acb_clear(res2);
acb_clear(res3);
acb_clear(s);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
