mirror of
https://github.com/vale981/arb
synced 2025-03-04 17:01:40 -05:00
107 lines
3.3 KiB
C
107 lines
3.3 KiB
C
/*
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Copyright (C) 2019 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_series(acb_ptr theta1, acb_ptr theta2, acb_ptr theta3, acb_ptr theta4,
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acb_srcptr z, slong zlen, const acb_t tau, slong len, slong prec)
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{
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acb_ptr t1, t2, t3, t4, t, v;
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zlen = FLINT_MIN(zlen, len);
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if (zlen <= 0)
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return;
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t = _acb_vec_init(4 * len);
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t1 = t;
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t2 = t1 + len;
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t3 = t2 + len;
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t4 = t3 + len;
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acb_modular_theta_jet(t1, t2, t3, t4, z, tau, len, prec);
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if (len == 1)
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{
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if (theta1 != NULL) acb_set(theta1, t1);
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if (theta2 != NULL) acb_set(theta2, t2);
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if (theta3 != NULL) acb_set(theta3, t3);
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if (theta4 != NULL) acb_set(theta4, t4);
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}
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else
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{
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v = _acb_vec_init(zlen);
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/* compose with nonconstant part */
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acb_zero(v);
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_acb_vec_set(v + 1, z + 1, zlen - 1);
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if (theta1 != NULL) _acb_poly_compose_series(theta1, t1, len, v, zlen, len, prec);
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if (theta2 != NULL) _acb_poly_compose_series(theta2, t2, len, v, zlen, len, prec);
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if (theta3 != NULL) _acb_poly_compose_series(theta3, t3, len, v, zlen, len, prec);
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if (theta4 != NULL) _acb_poly_compose_series(theta4, t4, len, v, zlen, len, prec);
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_acb_vec_clear(v, zlen);
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}
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_acb_vec_clear(t, 4 * len);
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}
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void
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acb_modular_theta_series(acb_poly_t theta1, acb_poly_t theta2,
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acb_poly_t theta3, acb_poly_t theta4, const acb_poly_t z, const acb_t tau,
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slong len, slong prec)
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{
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if (len == 0)
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{
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if (theta1 != NULL) acb_poly_zero(theta1);
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if (theta2 != NULL) acb_poly_zero(theta2);
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if (theta3 != NULL) acb_poly_zero(theta3);
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if (theta4 != NULL) acb_poly_zero(theta4);
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return;
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}
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if (z->length <= 1)
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len = 1;
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if (theta1 != NULL) acb_poly_fit_length(theta1, len);
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if (theta2 != NULL) acb_poly_fit_length(theta2, len);
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if (theta3 != NULL) acb_poly_fit_length(theta3, len);
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if (theta4 != NULL) acb_poly_fit_length(theta4, len);
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if (z->length == 0)
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{
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acb_t t;
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acb_init(t);
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_acb_modular_theta_series(theta1 ? theta1->coeffs : NULL,
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theta2 ? theta2->coeffs : NULL, theta3 ? theta3->coeffs : NULL,
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theta4 ? theta4->coeffs : NULL, t, 1, tau, len, prec);
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acb_clear(t);
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}
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else
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{
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_acb_modular_theta_series(theta1 ? theta1->coeffs : NULL,
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theta2 ? theta2->coeffs : NULL, theta3 ? theta3->coeffs : NULL,
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theta4 ? theta4->coeffs : NULL, z->coeffs, z->length, tau, len, prec);
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}
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if (theta1 != NULL) _acb_poly_set_length(theta1, len);
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if (theta2 != NULL) _acb_poly_set_length(theta2, len);
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if (theta3 != NULL) _acb_poly_set_length(theta3, len);
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if (theta4 != NULL) _acb_poly_set_length(theta4, len);
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if (theta1 != NULL) _acb_poly_normalise(theta1);
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if (theta2 != NULL) _acb_poly_normalise(theta2);
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if (theta3 != NULL) _acb_poly_normalise(theta3);
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if (theta4 != NULL) _acb_poly_normalise(theta4);
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}
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