mirror of
https://github.com/vale981/arb
synced 2025-03-05 17:31:38 -05:00
89 lines
2.3 KiB
C
89 lines
2.3 KiB
C
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/*=============================================================================
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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) 2015 Fredrik Johansson
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******************************************************************************/
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#include "acb.h"
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#include "acb_poly.h"
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void
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acb_polygamma(acb_t res, const acb_t s, const acb_t z, long prec)
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{
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if (acb_is_zero(s))
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{
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acb_digamma(res, z, prec);
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}
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else if (acb_is_int(s) && arb_is_positive(acb_realref(s)))
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{
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acb_t t, u;
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acb_init(t);
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acb_init(u);
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acb_add_ui(t, s, 1, prec);
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acb_gamma(u, t, prec);
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acb_hurwitz_zeta(t, t, z, prec);
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if (arf_is_int_2exp_si(arb_midref(acb_realref(s)), 1))
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acb_neg(t, t);
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acb_mul(res, t, u, prec);
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acb_clear(t);
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acb_clear(u);
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}
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else
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{
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acb_t t, u;
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acb_struct v[2];
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acb_init(t);
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acb_init(u);
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acb_init(v);
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acb_init(v + 1);
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/* u = psi(-s) + gamma */
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acb_neg(t, s);
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acb_digamma(u, t, prec);
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arb_const_euler(acb_realref(v), prec);
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arb_add(acb_realref(u), acb_realref(u), acb_realref(v), prec);
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acb_add_ui(t, s, 1, prec);
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_acb_poly_zeta_cpx_series(v, t, z, 0, 2, prec);
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acb_addmul(v + 1, v, u, prec);
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acb_neg(t, s);
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acb_rgamma(u, t, prec);
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acb_mul(res, v + 1, u, prec);
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acb_clear(v);
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acb_clear(v + 1);
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acb_clear(t);
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acb_clear(u);
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}
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}
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