| `/* Complex trig 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"' |
| |
| include(`mtype.m4')dnl |
| |
| /* Complex number z = a + ib. */ |
| |
| /* sin(z) = sin(a)cosh(b) + icos(a)sinh(b) */ |
| complex_type |
| csin`'q (complex_type a) |
| { |
| real_type r; |
| real_type i; |
| complex_type v; |
| |
| r = REALPART (a); |
| i = IMAGPART (a); |
| COMPLEX_ASSIGN (v, sin`'q (r) * cosh`'q (i), cos`'q (r) * sinh`'q (i)); |
| return v; |
| } |
| |
| /* cos(z) = cos(a)cosh(b) - isin(a)sinh(b) */ |
| complex_type |
| ccos`'q (complex_type a) |
| { |
| real_type r; |
| real_type i; |
| complex_type v; |
| |
| r = REALPART (a); |
| i = IMAGPART (a); |
| COMPLEX_ASSIGN (v, cos`'q (r) * cosh`'q (i), - (sin`'q (r) * sinh`'q (i))); |
| return v; |
| } |
| |
| /* tan(z) = (tan(a) + itanh(b)) / (1 - itan(a)tanh(b)) */ |
| complex_type |
| ctan`'q (complex_type a) |
| { |
| real_type rt; |
| real_type it; |
| complex_type n; |
| complex_type d; |
| |
| rt = tan`'q (REALPART (a)); |
| it = tanh`'q (IMAGPART (a)); |
| COMPLEX_ASSIGN (n, rt, it); |
| COMPLEX_ASSIGN (d , 1, - (rt * it)); |
| |
| return n / d; |
| } |
| |