mirror of
https://github.com/vale981/arb
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81 lines
2.1 KiB
C
81 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) 2013 Fredrik Johansson
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******************************************************************************/
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#include "fmprb.h"
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void
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fmprb_asin(fmprb_t z, const fmprb_t x, long prec)
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{
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fmprb_t t;
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if (fmprb_is_exact(x))
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{
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int side;
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if (fmpr_is_zero(fmprb_midref(x)))
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{
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fmprb_zero(z);
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return;
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}
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side = fmpr_cmpabs_2exp_si(fmprb_midref(x), 0);
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/* +/- 1 */
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if (side == 0)
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{
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if (fmpr_is_one(fmprb_midref(x)))
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{
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fmprb_const_pi(z, prec);
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}
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else
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{
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fmprb_const_pi(z, prec);
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fmprb_neg(z, z);
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}
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fmprb_mul_2exp_si(z, z, -1);
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return;
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}
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else if (side > 0)
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{
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fmpr_nan(fmprb_midref(z));
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fmpr_pos_inf(fmprb_radref(z));
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return;
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}
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}
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fmprb_init(t);
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fmprb_mul(t, x, x, FMPR_PREC_EXACT);
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fmprb_sub_ui(t, t, 1, prec);
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fmprb_neg(t, t);
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fmprb_rsqrt(t, t, prec);
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fmprb_mul(t, x, t, prec);
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fmprb_atan(z, t, prec);
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fmprb_clear(t);
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}
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