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/* complex/gsl_complex.h
*
* Copyright (C) 1996, 1997, 1998, 1999, 2000, 2007 Gerard Jungman, Brian Gough
* Copyright (C) 2020, 2021 Patrick Alken
*
* This program 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 3 of the License, or (at
* your option) any later version.
*
* This program 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 this program; if not, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
*/
#ifndef __GSL_COMPLEX_H__
#define __GSL_COMPLEX_H__
#undef __BEGIN_DECLS
#undef __END_DECLS
#ifdef __cplusplus
# define __BEGIN_DECLS extern "C" {
# define __END_DECLS }
#else
# define __BEGIN_DECLS /* empty */
# define __END_DECLS /* empty */
#endif
__BEGIN_DECLS
/* two consecutive built-in types as a complex number */
typedef double * gsl_complex_packed ;
typedef float * gsl_complex_packed_float ;
typedef long double * gsl_complex_packed_long_double ;
typedef const double * gsl_const_complex_packed ;
typedef const float * gsl_const_complex_packed_float ;
typedef const long double * gsl_const_complex_packed_long_double ;
/* 2N consecutive built-in types as N complex numbers */
typedef double * gsl_complex_packed_array ;
typedef float * gsl_complex_packed_array_float ;
typedef long double * gsl_complex_packed_array_long_double ;
typedef const double * gsl_const_complex_packed_array ;
typedef const float * gsl_const_complex_packed_array_float ;
typedef const long double * gsl_const_complex_packed_array_long_double ;
/* Yes... this seems weird. Trust us. The point is just that
sometimes you want to make it obvious that something is
an output value. The fact that it lacks a 'const' may not
be enough of a clue for people in some contexts.
*/
typedef double * gsl_complex_packed_ptr ;
typedef float * gsl_complex_packed_float_ptr ;
typedef long double * gsl_complex_packed_long_double_ptr ;
typedef const double * gsl_const_complex_packed_ptr ;
typedef const float * gsl_const_complex_packed_float_ptr ;
typedef const long double * gsl_const_complex_packed_long_double_ptr ;
/*
* If <complex.h> is included, use the C99 complex type. Otherwise
* define a type bit-compatible with C99 complex. The GSL_REAL and GSL_IMAG
* macros require C11 functionality also (_Generic)
*/
/* older gcc compilers claim to be C11 compliant but do not support _Generic */
#if defined(__GNUC__) && (__GNUC__ < 7)
# define GSL_COMPLEX_LEGACY 1
#endif
#if !defined(GSL_COMPLEX_LEGACY) && \
defined(_Complex_I) && \
defined(complex) && \
defined(I) && \
defined(__STDC__) && (__STDC__ == 1) && \
defined(__STDC_VERSION__) && (__STDC_VERSION__ >= 201112L) /* C11 */
# define GSL_COMPLEX_DEFINE(R, C) typedef R _Complex C ;
# define GSL_COMPLEX_P(zp) (&(zp))
# define GSL_COMPLEX_EQ(z1,z2) ((z1) == (z2))
# define GSL_SET_COMPLEX(zp,x,y) (*(zp) = (x) + I * (y))
# define GSL_REAL(z) (_Generic((z), \
complex float : ((float *) &(z)), \
complex double : ((double *) &(z)), \
complex long double : ((long double *) &(z)))[0])
# define GSL_IMAG(z) (_Generic((z), \
complex float : ((float *) &(z)), \
complex double : ((double *) &(z)), \
complex long double : ((long double *) &(z)))[1])
# define GSL_COMPLEX_P_REAL(zp) GSL_REAL(*(zp))
# define GSL_COMPLEX_P_IMAG(zp) GSL_IMAG(*(zp))
# define GSL_SET_REAL(zp,x) do { GSL_REAL(*(zp)) = (x); } while(0)
# define GSL_SET_IMAG(zp,x) do { GSL_IMAG(*(zp)) = (x); } while(0)
#else /* legacy complex definitions */
/*
* According to the C17 standard, 6.2.5 paragraph 13:
*
* "Each complex type has the same representation and alignment requirements
* as an array type containing exactly two elements of the corresponding real
* type; the first element is equal to the real part, and the second element to
* the imaginary part, of the complex number."
*/
/*# define GSL_COMPLEX_DEFINE(R, C) typedef R C[2]*/
# define GSL_COMPLEX_DEFINE(R, C) typedef struct { R dat[2]; } C ;
# define GSL_REAL(z) ((z).dat[0])
# define GSL_IMAG(z) ((z).dat[1])
# define GSL_COMPLEX_P(zp) ((zp)->dat)
# define GSL_COMPLEX_P_REAL(zp) ((zp)->dat[0])
# define GSL_COMPLEX_P_IMAG(zp) ((zp)->dat[1])
# define GSL_COMPLEX_EQ(z1,z2) (((z1).dat[0] == (z2).dat[0]) && ((z1).dat[1] == (z2).dat[1]))
# define GSL_SET_COMPLEX(zp,x,y) do {(zp)->dat[0]=(x); (zp)->dat[1]=(y);} while(0)
# define GSL_SET_REAL(zp,x) do {(zp)->dat[0]=(x);} while(0)
# define GSL_SET_IMAG(zp,y) do {(zp)->dat[1]=(y);} while(0)
#endif
GSL_COMPLEX_DEFINE(double, gsl_complex)
GSL_COMPLEX_DEFINE(long double, gsl_complex_long_double)
GSL_COMPLEX_DEFINE(float, gsl_complex_float)
#define GSL_SET_COMPLEX_PACKED(zp,n,x,y) do {*((zp)+2*(n))=(x); *((zp)+(2*(n)+1))=(y);} while(0)
__END_DECLS
#endif /* __GSL_COMPLEX_H__ */
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