| /* 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 (libgfortran). |
| |
| Libgfortran is free software; you can redistribute it and/or |
| modify it under the terms of the GNU General Public |
| License as published by the Free Software Foundation; either |
| version 2 of the License, or (at your option) any later version. |
| |
| In addition to the permissions in the GNU General Public License, the |
| Free Software Foundation gives you unlimited permission to link the |
| compiled version of this file into combinations with other programs, |
| and to distribute those combinations without any restriction coming |
| from the use of this file. (The General Public License restrictions |
| do apply in other respects; for example, they cover modification of |
| the file, and distribution when not linked into a combine |
| executable.) |
| |
| 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 General Public License for more details. |
| |
| You should have received a copy of the GNU General Public |
| License along with libgfortran; see the file COPYING. 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_8 |
| csinh (GFC_COMPLEX_8 a) |
| { |
| GFC_REAL_8 r; |
| GFC_REAL_8 i; |
| GFC_COMPLEX_8 v; |
| |
| r = REALPART (a); |
| i = IMAGPART (a); |
| COMPLEX_ASSIGN (v, sinh (r) * cos (i), cosh (r) * sin (i)); |
| return v; |
| } |
| |
| /* cosh(z) = cosh(a)cos(b) - isinh(a)sin(b) */ |
| GFC_COMPLEX_8 |
| ccosh (GFC_COMPLEX_8 a) |
| { |
| GFC_REAL_8 r; |
| GFC_REAL_8 i; |
| GFC_COMPLEX_8 v; |
| |
| r = REALPART (a); |
| i = IMAGPART (a); |
| COMPLEX_ASSIGN (v, cosh (r) * cos (i), - (sinh (r) * sin (i))); |
| return v; |
| } |
| |
| /* tanh(z) = (tanh(a) + itan(b)) / (1 - itanh(a)tan(b)) */ |
| GFC_COMPLEX_8 |
| ctanh (GFC_COMPLEX_8 a) |
| { |
| GFC_REAL_8 rt; |
| GFC_REAL_8 it; |
| GFC_COMPLEX_8 n; |
| GFC_COMPLEX_8 d; |
| |
| rt = tanh (REALPART (a)); |
| it = tan (IMAGPART (a)); |
| COMPLEX_ASSIGN (n, rt, it); |
| COMPLEX_ASSIGN (d, 1, - (rt * it)); |
| |
| return n / d; |
| } |
| |