73 lines
1.8 KiB
Plaintext
73 lines
1.8 KiB
Plaintext
|
`/* 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"'
|
||
|
|
|
||
|
|
include(`mtype.m4')dnl
|
||
|
|
|
||
|
|
/* Complex number z = a + ib. */
|
||
|
|
|
||
|
|
/* sinh(z) = sinh(a)cos(b) + icosh(a)sin(b) */
|
||
|
|
complex_type
|
||
|
|
csinh`'q (complex_type a)
|
||
|
|
{
|
||
|
|
real_type r;
|
||
|
|
real_type i;
|
||
|
|
complex_type v;
|
||
|
|
|
||
|
|
r = REALPART (a);
|
||
|
|
i = IMAGPART (a);
|
||
|
|
COMPLEX_ASSIGN (v, sinh`'q (r) * cos`'q (i), cosh`'q (r) * sin`'q (i));
|
||
|
|
return v;
|
||
|
|
}
|
||
|
|
|
||
|
|
/* cosh(z) = cosh(a)cos(b) - isinh(a)sin(b) */
|
||
|
|
complex_type
|
||
|
|
ccosh`'q (complex_type a)
|
||
|
|
{
|
||
|
|
real_type r;
|
||
|
|
real_type i;
|
||
|
|
complex_type v;
|
||
|
|
|
||
|
|
r = REALPART (a);
|
||
|
|
i = IMAGPART (a);
|
||
|
|
COMPLEX_ASSIGN (v, cosh`'q (r) * cos`'q (i), - (sinh`'q (r) * sin`'q (i)));
|
||
|
|
return v;
|
||
|
|
}
|
||
|
|
|
||
|
|
/* tanh(z) = (tanh(a) + itan(b)) / (1 - itanh(a)tan(b)) */
|
||
|
|
complex_type
|
||
|
|
ctanh`'q (complex_type a)
|
||
|
|
{
|
||
|
|
real_type rt;
|
||
|
|
real_type it;
|
||
|
|
complex_type n;
|
||
|
|
complex_type d;
|
||
|
|
|
||
|
|
rt = tanh`'q (REALPART (a));
|
||
|
|
it = tan`'q (IMAGPART (a));
|
||
|
|
COMPLEX_ASSIGN (n, rt, it);
|
||
|
|
COMPLEX_ASSIGN (d, 1, - (rt * it));
|
||
|
|
|
||
|
|
return n / d;
|
||
|
|
}
|
||
|
|
|