mirror of
https://github.com/vale981/arb
synced 2025-03-05 09:21:38 -05:00
58 lines
1.3 KiB
C
58 lines
1.3 KiB
C
/*
|
|
Copyright (C) 2014 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 <http://www.gnu.org/licenses/>.
|
|
*/
|
|
|
|
#include "acb_elliptic.h"
|
|
#include "acb_modular.h"
|
|
|
|
void
|
|
acb_elliptic_p(acb_t r, const acb_t z, const acb_t tau, slong prec)
|
|
{
|
|
acb_struct t0[4], tz[4];
|
|
acb_t t;
|
|
int i;
|
|
|
|
acb_init(t);
|
|
|
|
for (i = 0; i < 4; i++)
|
|
{
|
|
acb_init(t0 + i);
|
|
acb_init(tz + i);
|
|
}
|
|
|
|
acb_modular_theta(tz + 0, tz + 1, tz + 2, tz + 3, z, tau, prec);
|
|
acb_zero(t);
|
|
acb_modular_theta(t0 + 0, t0 + 1, t0 + 2, t0 + 3, t, tau, prec);
|
|
|
|
acb_mul(t, t0 + 1, t0 + 2, prec);
|
|
acb_mul(t, t, tz + 3, prec);
|
|
acb_div(t, t, tz + 0, prec);
|
|
acb_mul(t, t, t, prec);
|
|
|
|
acb_pow_ui(t0 + 1, t0 + 1, 4, prec);
|
|
acb_pow_ui(t0 + 2, t0 + 2, 4, prec);
|
|
acb_add(r, t0 + 1, t0 + 2, prec);
|
|
acb_div_ui(r, r, 3, prec);
|
|
|
|
acb_sub(r, t, r, prec);
|
|
|
|
acb_const_pi(t, prec);
|
|
acb_mul(t, t, t, prec);
|
|
acb_mul(r, r, t, prec);
|
|
|
|
acb_clear(t);
|
|
|
|
for (i = 0; i < 4; i++)
|
|
{
|
|
acb_clear(t0 + i);
|
|
acb_clear(tz + i);
|
|
}
|
|
}
|
|
|