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/* mpc_asinh -- inverse hyperbolic sine of a complex number.
Copyright (C) 2009, 2011, 2012 INRIA
This file is part of GNU MPC.
GNU MPC is free software; you can redistribute it and/or modify it under
the terms of the GNU Lesser General Public License as published by the
Free Software Foundation; either version 3 of the License, or (at your
option) any later version.
GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY
WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for
more details.
You should have received a copy of the GNU Lesser General Public License
along with this program. If not, see http://www.gnu.org/licenses/ .
*/
#include "mpc-impl.h"
int
mpc_asinh (mpc_ptr rop, mpc_srcptr op, mpc_rnd_t rnd)
{
/* asinh(op) = -i*asin(i*op) */
int inex;
mpc_t z, a;
mpfr_t tmp;
/* z = i*op */
mpc_realref (z)[0] = mpc_imagref (op)[0];
mpc_imagref (z)[0] = mpc_realref (op)[0];
MPFR_CHANGE_SIGN (mpc_realref (z));
/* Note reversal of precisions due to later multiplication by -i */
mpc_init3 (a, MPC_PREC_IM(rop), MPC_PREC_RE(rop));
inex = mpc_asin (a, z,
MPC_RND (INV_RND (MPC_RND_IM (rnd)), MPC_RND_RE (rnd)));
/* if a = asin(i*op) = x+i*y, and we want y-i*x */
/* change a to -i*a */
tmp[0] = mpc_realref (a)[0];
mpc_realref (a)[0] = mpc_imagref (a)[0];
mpc_imagref (a)[0] = tmp[0];
MPFR_CHANGE_SIGN (mpc_imagref (a));
mpc_set (rop, a, MPC_RNDNN); /* exact */
mpc_clear (a);
return MPC_INEX (MPC_INEX_IM (inex), -MPC_INEX_RE (inex));
}
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