72 lines
1.8 KiB
C
72 lines
1.8 KiB
C
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/* Complex hyperbolic 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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/* Complex number z = a + ib. */
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/* sinh(z) = sinh(a)cos(b) + icosh(a)sin(b) */
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GFC_COMPLEX_8
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csinh (GFC_COMPLEX_8 a)
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{
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GFC_REAL_8 r;
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GFC_REAL_8 i;
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GFC_COMPLEX_8 v;
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r = REALPART (a);
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i = IMAGPART (a);
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COMPLEX_ASSIGN (v, sinh (r) * cos (i), cosh (r) * sin (i));
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return v;
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}
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/* cosh(z) = cosh(a)cos(b) - isinh(a)sin(b) */
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GFC_COMPLEX_8
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ccosh (GFC_COMPLEX_8 a)
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{
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GFC_REAL_8 r;
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GFC_REAL_8 i;
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GFC_COMPLEX_8 v;
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r = REALPART (a);
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i = IMAGPART (a);
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COMPLEX_ASSIGN (v, cosh (r) * cos (i), - (sinh (r) * sin (i)));
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return v;
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}
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/* tanh(z) = (tanh(a) + itan(b)) / (1 - itanh(a)tan(b)) */
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GFC_COMPLEX_8
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ctanh (GFC_COMPLEX_8 a)
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{
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GFC_REAL_8 rt;
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GFC_REAL_8 it;
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GFC_COMPLEX_8 n;
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GFC_COMPLEX_8 d;
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rt = tanh (REALPART (a));
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it = tan (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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