mirror of
https://github.com/vale981/arb
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45 lines
1.2 KiB
C
45 lines
1.2 KiB
C
/*
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Copyright (C) 2017 Fredrik Johansson
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This file is part of Arb.
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Arb is free software: you can redistribute it and/or modify it under
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the terms of the GNU Lesser General Public License (LGPL) as published
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by the Free Software Foundation; either version 2.1 of the License, or
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(at your option) any later version. See <http://www.gnu.org/licenses/>.
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*/
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#include "acb_modular.h"
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void
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acb_modular_theta_jet_notransform(acb_ptr theta1, acb_ptr theta2,
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acb_ptr theta3, acb_ptr theta4, const acb_t z, const acb_t tau,
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slong len, slong prec)
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{
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acb_t q, q4, w;
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int w_is_unit;
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acb_init(q);
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acb_init(q4);
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acb_init(w);
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/* compute q_{1/4}, q */
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acb_mul_2exp_si(q4, tau, -2);
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acb_exp_pi_i(q4, q4, prec);
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acb_pow_ui(q, q4, 4, prec);
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/* compute w */
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acb_exp_pi_i(w, z, prec);
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w_is_unit = arb_is_zero(acb_imagref(z));
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/* evaluate theta functions */
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acb_modular_theta_sum(theta1, theta2, theta3, theta4,
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w, w_is_unit, q, len, prec);
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_acb_vec_scalar_mul(theta1, theta1, len, q4, prec);
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_acb_vec_scalar_mul(theta2, theta2, len, q4, prec);
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acb_clear(q);
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acb_clear(q4);
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acb_clear(w);
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}
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