73 lines
1.8 KiB
Plaintext
73 lines
1.8 KiB
Plaintext
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`/* Complex trig functions
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Copyright 2002 Free Software Foundation, Inc.
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Contributed by Paul Brook <paul@nowt.org>
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This file is part of the GNU Fortran 95 runtime library (libgfor).
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Libgfortran is free software; you can redistribute it and/or
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modify it under the terms of the GNU Lesser General Public
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License as published by the Free Software Foundation; either
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version 2.1 of the License, or (at your option) any later version.
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Libgfortran is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU Lesser General Public License for more details.
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You should have received a copy of the GNU Lesser General Public
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License along with libgfor; see the file COPYING.LIB. If not,
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write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
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Boston, MA 02111-1307, USA. */
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#include <math.h>
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#include "libgfortran.h"'
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include(`mtype.m4')dnl
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/* Complex number z = a + ib. */
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/* sin(z) = sin(a)cosh(b) + icos(a)sinh(b) */
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complex_type
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csin`'q (complex_type a)
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{
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real_type r;
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real_type i;
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complex_type v;
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r = REALPART (a);
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i = IMAGPART (a);
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COMPLEX_ASSIGN (v, sin`'q (r) * cosh`'q (i), cos`'q (r) * sinh`'q (i));
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return v;
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}
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/* cos(z) = cos(a)cosh(b) - isin(a)sinh(b) */
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complex_type
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ccos`'q (complex_type a)
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{
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real_type r;
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real_type i;
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complex_type v;
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r = REALPART (a);
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i = IMAGPART (a);
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COMPLEX_ASSIGN (v, cos`'q (r) * cosh`'q (i), - (sin`'q (r) * sinh`'q (i)));
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return v;
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}
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/* tan(z) = (tan(a) + itanh(b)) / (1 - itan(a)tanh(b)) */
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complex_type
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ctan`'q (complex_type a)
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{
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real_type rt;
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real_type it;
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complex_type n;
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complex_type d;
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rt = tan`'q (REALPART (a));
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it = tanh`'q (IMAGPART (a));
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COMPLEX_ASSIGN (n, rt, it);
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COMPLEX_ASSIGN (d , 1, - (rt * it));
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return n / d;
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}
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