mirror of
https://github.com/vale981/arb
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89 lines
2.1 KiB
C
89 lines
2.1 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) 2014 Fredrik Johansson
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******************************************************************************/
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#include "acb_hypgeom.h"
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void
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acb_hypgeom_pfq_bound_factor(mag_t C,
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acb_srcptr a, long p, acb_srcptr b, long q, const acb_t z, ulong n)
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{
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mag_t t, u;
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acb_t w;
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long i;
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if (p > q)
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{
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mag_inf(C);
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return;
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}
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mag_init(t);
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mag_init(u);
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acb_init(w);
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acb_get_mag(C, z);
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for (i = 0; i < q; i++)
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{
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acb_add_ui(w, b + i, n, MAG_BITS);
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if (arb_is_positive(acb_realref(w)))
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{
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acb_get_mag_lower(u, w);
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if (i < p)
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{
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acb_sub(w, a + i, b + i, MAG_BITS);
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acb_get_mag(t, w);
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mag_div(t, t, u);
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mag_one(u);
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mag_add(t, t, u);
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mag_mul(C, C, t);
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}
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else
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{
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mag_div(C, C, u);
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}
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}
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else
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{
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mag_inf(C);
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}
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}
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mag_one(t);
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mag_sub_lower(u, t, C);
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if (mag_is_zero(u))
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mag_inf(C);
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else
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mag_div(C, t, u);
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mag_clear(t);
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mag_clear(u);
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acb_clear(w);
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}
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