/* 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 (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. */ /* sin(z) = sin(a)cosh(b) + icos(a)sinh(b) */ GFC_COMPLEX_4 csinf (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, sinf (r) * coshf (i), cosf (r) * sinhf (i)); return v; } /* cos(z) = cos(a)cosh(b) - isin(a)sinh(b) */ GFC_COMPLEX_4 ccosf (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, cosf (r) * coshf (i), - (sinf (r) * sinhf (i))); return v; } /* tan(z) = (tan(a) + itanh(b)) / (1 - itan(a)tanh(b)) */ GFC_COMPLEX_4 ctanf (GFC_COMPLEX_4 a) { GFC_REAL_4 rt; GFC_REAL_4 it; GFC_COMPLEX_4 n; GFC_COMPLEX_4 d; rt = tanf (REALPART (a)); it = tanhf (IMAGPART (a)); COMPLEX_ASSIGN (n, rt, it); COMPLEX_ASSIGN (d , 1, - (rt * it)); return n / d; }