mirror of
https://github.com/vale981/arb
synced 2025-03-06 01:41:39 -05:00
64 lines
1.9 KiB
C
64 lines
1.9 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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void
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acb_dirichlet_arb_theta_naive(acb_t res, const arb_t x, int parity, const ulong *a, const acb_dirichlet_powers_t z, slong len, slong prec)
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{
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slong k;
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arb_t xk2, dx, x2;
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acb_t zk;
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arb_init(xk2);
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arb_init(dx);
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arb_init(x2);
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acb_init(zk);
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arb_set(dx, x);
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arb_set(xk2, dx);
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arb_mul(x2, dx, dx, prec);
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acb_set_arb(res, xk2);
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/* TODO: reduce prec */
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for (k = 2; k < len; k++)
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{
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arb_mul(dx, dx, x2, prec);
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arb_mul(xk2, xk2, dx, prec);
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if (a[k] != ACB_DIRICHLET_CHI_NULL)
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{
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acb_dirichlet_power(zk, z, a[k], prec);
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if (parity)
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acb_mul_si(zk, zk, k, prec);
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acb_addmul_arb(res, zk, xk2, prec);
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}
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}
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arb_clear(xk2);
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arb_clear(x2);
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arb_clear(dx);
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acb_clear(zk);
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}
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