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/* mpc_acosh -- inverse hyperbolic cosine of a complex number.
Copyright (C) 2009 Philippe Th\'eveny
This file is part of the MPC Library.
The MPC Library 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 2.1 of the License, or (at your
option) any later version.
The MPC Library 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 the MPC Library; see the file COPYING.LIB. If not, write to
the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
MA 02111-1307, USA. */
#include "mpc-impl.h"
int
mpc_acosh (mpc_ptr rop, mpc_srcptr op, mpc_rnd_t rnd)
{
/* acosh(z) =
i*acos(z), if sign(Im(z)) = +
-i*acos(z), if sign(Im(z)) = -
*/
mpfr_t tmp;
int inex;
if (mpfr_signbit (MPC_IM (op)))
{
inex = mpc_cos (rop, op,
RNDC (MPC_RND_IM (rnd), INV_RND (MPC_RND_RE (rnd))));
/* change rop to -i*rop */
tmp[0] = MPC_RE (rop)[0];
MPC_RE (rop)[0] = MPC_IM (rop)[0];
MPC_IM (rop)[0] = tmp[0];
MPFR_CHANGE_SIGN (MPC_IM (rop));
inex = MPC_INEX (-MPC_INEX_IM (inex), MPC_INEX_RE (inex));
}
else
{
inex = mpc_cos (rop, op,
RNDC (INV_RND (MPC_RND_IM (rnd)), MPC_RND_RE (rnd)));
/* change rop to i*rop */
tmp[0] = MPC_RE (rop)[0];
MPC_RE (rop)[0] = MPC_IM (rop)[0];
MPC_IM (rop)[0] = tmp[0];
MPFR_CHANGE_SIGN (MPC_RE (rop));
inex = MPC_INEX (MPC_INEX_IM (inex), -MPC_INEX_RE (inex));
}
return inex;
}
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