|  | /* 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; | 
|  | } | 
|  |  |