1*d30dc8cbSJohn Marino /* mpc_sinh -- hyperbolic sine of a complex number.
2*d30dc8cbSJohn Marino
3*d30dc8cbSJohn Marino Copyright (C)2008, 2009, 2011, 2012 INRIA
4*d30dc8cbSJohn Marino
5*d30dc8cbSJohn Marino This file is part of GNU MPC.
6*d30dc8cbSJohn Marino
7*d30dc8cbSJohn Marino GNU MPC is free software; you can redistribute it and/or modify it under
8*d30dc8cbSJohn Marino the terms of the GNU Lesser General Public License as published by the
9*d30dc8cbSJohn Marino Free Software Foundation; either version 3 of the License, or (at your
10*d30dc8cbSJohn Marino option) any later version.
11*d30dc8cbSJohn Marino
12*d30dc8cbSJohn Marino GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY
13*d30dc8cbSJohn Marino WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
14*d30dc8cbSJohn Marino FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for
15*d30dc8cbSJohn Marino more details.
16*d30dc8cbSJohn Marino
17*d30dc8cbSJohn Marino You should have received a copy of the GNU Lesser General Public License
18*d30dc8cbSJohn Marino along with this program. If not, see http://www.gnu.org/licenses/ .
19*d30dc8cbSJohn Marino */
20*d30dc8cbSJohn Marino
21*d30dc8cbSJohn Marino #include "mpc-impl.h"
22*d30dc8cbSJohn Marino
23*d30dc8cbSJohn Marino int
mpc_sinh(mpc_ptr rop,mpc_srcptr op,mpc_rnd_t rnd)24*d30dc8cbSJohn Marino mpc_sinh (mpc_ptr rop, mpc_srcptr op, mpc_rnd_t rnd)
25*d30dc8cbSJohn Marino {
26*d30dc8cbSJohn Marino /* sinh(op) = -i*sin(i*op) = conj(-i*sin(conj(-i*op))) */
27*d30dc8cbSJohn Marino mpc_t z;
28*d30dc8cbSJohn Marino mpc_t sin_z;
29*d30dc8cbSJohn Marino int inex;
30*d30dc8cbSJohn Marino
31*d30dc8cbSJohn Marino /* z := conj(-i * op) and rop = conj(-i * sin(z)), in other words, we have
32*d30dc8cbSJohn Marino to switch real and imaginary parts. Let us set them without copying
33*d30dc8cbSJohn Marino significands. */
34*d30dc8cbSJohn Marino mpc_realref (z)[0] = mpc_imagref (op)[0];
35*d30dc8cbSJohn Marino mpc_imagref (z)[0] = mpc_realref (op)[0];
36*d30dc8cbSJohn Marino mpc_realref (sin_z)[0] = mpc_imagref (rop)[0];
37*d30dc8cbSJohn Marino mpc_imagref (sin_z)[0] = mpc_realref (rop)[0];
38*d30dc8cbSJohn Marino
39*d30dc8cbSJohn Marino inex = mpc_sin (sin_z, z, MPC_RND (MPC_RND_IM (rnd), MPC_RND_RE (rnd)));
40*d30dc8cbSJohn Marino
41*d30dc8cbSJohn Marino /* sin_z and rop parts share the same significands, copy the rest now. */
42*d30dc8cbSJohn Marino mpc_realref (rop)[0] = mpc_imagref (sin_z)[0];
43*d30dc8cbSJohn Marino mpc_imagref (rop)[0] = mpc_realref (sin_z)[0];
44*d30dc8cbSJohn Marino
45*d30dc8cbSJohn Marino /* swap inexact flags for real and imaginary parts */
46*d30dc8cbSJohn Marino return MPC_INEX (MPC_INEX_IM (inex), MPC_INEX_RE (inex));
47*d30dc8cbSJohn Marino }
48