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https://github.com/vale981/arb
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50 lines
1.7 KiB
C
50 lines
1.7 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) 2014 Fredrik Johansson
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******************************************************************************/
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#include "acb_hypgeom.h"
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int
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acb_hypgeom_u_use_asymp(const acb_t z, slong prec)
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{
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double x, y;
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if ((arf_cmpabs_2exp_si(arb_midref(acb_realref(z)), 0) < 0 &&
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arf_cmpabs_2exp_si(arb_midref(acb_imagref(z)), 0) < 0))
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{
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return 0;
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}
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if ((arf_cmpabs_2exp_si(arb_midref(acb_realref(z)), 64) > 0 ||
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arf_cmpabs_2exp_si(arb_midref(acb_imagref(z)), 64) > 0))
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{
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return 1;
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}
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x = arf_get_d(arb_midref(acb_realref(z)), ARF_RND_DOWN);
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y = arf_get_d(arb_midref(acb_imagref(z)), ARF_RND_DOWN);
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return sqrt(x * x + y * y) > prec * 0.69314718055994530942;
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}
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