mirror of
https://github.com/vale981/arb
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62 lines
1.8 KiB
C
62 lines
1.8 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) 2015 Fredrik Johansson
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******************************************************************************/
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#include "acb.h"
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void
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acb_asin(acb_t res, const acb_t z, slong prec)
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{
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if (arb_is_zero(acb_realref(z)))
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{
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arb_asinh(acb_imagref(res), acb_imagref(z), prec);
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arb_zero(acb_realref(res));
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}
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else
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{
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acb_t t;
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acb_init(t);
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acb_mul(t, z, z, prec);
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acb_sub_ui(t, t, 1, prec);
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acb_neg(t, t);
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acb_sqrt(t, t, prec);
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if (acb_is_real(z) && acb_is_real(t))
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{
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arb_atan2(acb_realref(res), acb_realref(z), acb_realref(t), prec);
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arb_zero(acb_imagref(res));
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}
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else
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{
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acb_mul_onei(res, z);
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acb_add(res, res, t, prec);
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acb_log(res, res, prec);
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acb_div_onei(res, res);
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}
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acb_clear(t);
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}
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}
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