mirror of
https://github.com/vale981/arb
synced 2025-03-04 17:01:40 -05:00
46 lines
1.2 KiB
C
46 lines
1.2 KiB
C
|
/*
|
||
|
|
Copyright (C) 2017 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_modular.h"
|
||
|
|
|
||
|
|
void
|
||
|
|
acb_modular_theta_jet_notransform(acb_ptr theta1, acb_ptr theta2,
|
||
|
|
acb_ptr theta3, acb_ptr theta4, const acb_t z, const acb_t tau,
|
||
|
|
slong len, slong prec)
|
||
|
|
{
|
||
|
|
acb_t q, q4, w;
|
||
|
|
int w_is_unit;
|
||
|
|
|
||
|
|
acb_init(q);
|
||
|
|
acb_init(q4);
|
||
|
|
acb_init(w);
|
||
|
|
|
||
|
|
/* compute q_{1/4}, q */
|
||
|
|
acb_mul_2exp_si(q4, tau, -2);
|
||
|
|
acb_exp_pi_i(q4, q4, prec);
|
||
|
|
acb_pow_ui(q, q4, 4, prec);
|
||
|
|
|
||
|
|
/* compute w */
|
||
|
|
acb_exp_pi_i(w, z, prec);
|
||
|
|
w_is_unit = arb_is_zero(acb_imagref(z));
|
||
|
|
|
||
|
|
/* evaluate theta functions */
|
||
|
|
acb_modular_theta_sum(theta1, theta2, theta3, theta4,
|
||
|
|
w, w_is_unit, q, len, prec);
|
||
|
|
_acb_vec_scalar_mul(theta1, theta1, len, q4, prec);
|
||
|
|
_acb_vec_scalar_mul(theta2, theta2, len, q4, prec);
|
||
|
|
|
||
|
|
acb_clear(q);
|
||
|
|
acb_clear(q4);
|
||
|
|
acb_clear(w);
|
||
|
|
}
|
||
|
|
|