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/* Complex hyperbolic functions
Copyright 2002 Free Software Foundation, Inc.
Contributed by Paul Brook <paul@nowt.org>
This file is part of the GNU Fortran 95 runtime library (libgfor).
Libgfortran 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.
Libgfortran 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 libgfor; 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 <math.h>
#include "libgfortran.h"
/* Complex number z = a + ib. */
/* sinh(z) = sinh(a)cos(b) + icosh(a)sin(b) */
GFC_COMPLEX_4
csinhf (GFC_COMPLEX_4 a)
{
GFC_REAL_4 r;
GFC_REAL_4 i;
GFC_COMPLEX_4 v;
r = REALPART (a);
i = IMAGPART (a);
COMPLEX_ASSIGN (v, sinhf (r) * cosf (i), coshf (r) * sinf (i));
return v;
}
/* cosh(z) = cosh(a)cos(b) - isinh(a)sin(b) */
GFC_COMPLEX_4
ccoshf (GFC_COMPLEX_4 a)
{
GFC_REAL_4 r;
GFC_REAL_4 i;
GFC_COMPLEX_4 v;
r = REALPART (a);
i = IMAGPART (a);
COMPLEX_ASSIGN (v, coshf (r) * cosf (i), - (sinhf (r) * sinf (i)));
return v;
}
/* tanh(z) = (tanh(a) + itan(b)) / (1 - itanh(a)tan(b)) */
GFC_COMPLEX_4
ctanhf (GFC_COMPLEX_4 a)
{
GFC_REAL_4 rt;
GFC_REAL_4 it;
GFC_COMPLEX_4 n;
GFC_COMPLEX_4 d;
rt = tanhf (REALPART (a));
it = tanf (IMAGPART (a));
COMPLEX_ASSIGN (n, rt, it);
COMPLEX_ASSIGN (d, 1, - (rt * it));
return n / d;
}
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