mirror of
https://github.com/vale981/arb
synced 2025-03-06 01:41:39 -05:00
62 lines
2 KiB
C
62 lines
2 KiB
C
/*=============================================================================
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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
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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ARB is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with ARB; if not, write to the Free Software
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Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
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=============================================================================*/
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/******************************************************************************
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Copyright (C) 2016 Pascal Molin
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******************************************************************************/
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#include "acb_dirichlet.h"
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#include "acb_poly.h"
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/* x = Pi / q * t^2 */
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static void
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acb_dirichlet_arb_theta_argt(arb_t x, ulong q, const arb_t t, slong prec)
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{
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arb_const_pi(x, prec);
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arb_div_ui(x, x, q, prec);
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arb_mul(x, x, t, prec);
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arb_mul(x, x, t, prec);
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arb_neg(x, x);
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arb_exp(x, x, prec);
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}
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void
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acb_dirichlet_chi_theta_arb(acb_t res, const acb_dirichlet_group_t G, const acb_dirichlet_char_t chi, const arb_t t, slong prec)
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{
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slong len;
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ulong * a;
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arb_t x;
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acb_dirichlet_powers_t z;
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len = acb_dirichlet_theta_length(G->q, t, prec);
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a = flint_malloc(len * sizeof(ulong));
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acb_dirichlet_ui_chi_vec(a, G, chi, len);
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acb_dirichlet_powers_init(z, chi->order, len, prec);
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arb_init(x);
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acb_dirichlet_arb_theta_argt(x, G->q, t, prec);
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acb_dirichlet_arb_theta_naive(res, x, chi->parity, a, z, len, prec);
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arb_clear(x);
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flint_free(a);
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acb_dirichlet_powers_clear(z);
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}
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