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/*
Copyright (C) 2017 Fredrik Johansson
This file is part of FLINT.
FLINT 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 3 of the License, or
(at your option) any later version. See <https://www.gnu.org/licenses/>.
*/
#include "acb.h"
#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);
}