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complex.h
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/* Copyright (C) 1997-2024 Free Software Foundation, Inc.
This file is part of the GNU C Library.
The GNU C Library 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.
The GNU C Library 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 the GNU C Library; if not, see
<https://www.gnu.org/licenses/>. */
/*
* ISO C99: 7.3 Complex arithmetic <complex.h>
*/
#ifndef _COMPLEX_H
#define _COMPLEX_H 1
#define __GLIBC_INTERNAL_STARTING_HEADER_IMPLEMENTATION
#include <bits/libc-header-start.h>
/* Get general and ISO C99 specific information. */
#include <bits/mathdef.h>
/* Gather machine-dependent _FloatN type support. */
#include <bits/floatn.h>
__BEGIN_DECLS
/* We might need to add support for more compilers here. But since ISO
C99 is out hopefully all maintained compilers will soon provide the data
types `float complex' and `double complex'. */
#if __GNUC_PREREQ (2, 7) && !__GNUC_PREREQ (2, 97)
# define _Complex __complex__
#endif
#define complex _Complex
/* Narrowest imaginary unit. This depends on the floating-point
evaluation method.
XXX This probably has to go into a gcc related file. */
#define _Complex_I (__extension__ 1.0iF)
/* Another more descriptive name is `I'.
XXX Once we have the imaginary support switch this to _Imaginary_I. */
#undef I
#define I _Complex_I
#if defined __USE_ISOC11 && __GNUC_PREREQ (4, 7)
/* Macros to expand into expression of specified complex type. */
# define CMPLX(x, y) __builtin_complex ((double) (x), (double) (y))
# define CMPLXF(x, y) __builtin_complex ((float) (x), (float) (y))
# define CMPLXL(x, y) __builtin_complex ((long double) (x), (long double) (y))
#endif
#if __HAVE_FLOAT16 && __GLIBC_USE (IEC_60559_TYPES_EXT)
# define CMPLXF16(x, y) __builtin_complex ((_Float16) (x), (_Float16) (y))
#endif
#if __HAVE_FLOAT32 && __GLIBC_USE (IEC_60559_TYPES_EXT)
# define CMPLXF32(x, y) __builtin_complex ((_Float32) (x), (_Float32) (y))
#endif
#if __HAVE_FLOAT64 && __GLIBC_USE (IEC_60559_TYPES_EXT)
# define CMPLXF64(x, y) __builtin_complex ((_Float64) (x), (_Float64) (y))
#endif
#if __HAVE_FLOAT128 && __GLIBC_USE (IEC_60559_TYPES_EXT)
# define CMPLXF128(x, y) __builtin_complex ((_Float128) (x), (_Float128) (y))
#endif
#if __HAVE_FLOAT32X && __GLIBC_USE (IEC_60559_TYPES_EXT)
# define CMPLXF32X(x, y) __builtin_complex ((_Float32x) (x), (_Float32x) (y))
#endif
#if __HAVE_FLOAT64X && __GLIBC_USE (IEC_60559_TYPES_EXT)
# define CMPLXF64X(x, y) __builtin_complex ((_Float64x) (x), (_Float64x) (y))
#endif
#if __HAVE_FLOAT128X && __GLIBC_USE (IEC_60559_TYPES_EXT)
# define CMPLXF128X(x, y) \
__builtin_complex ((_Float128x) (x), (_Float128x) (y))
#endif
/* The file <bits/cmathcalls.h> contains the prototypes for all the
actual math functions. These macros are used for those prototypes,
so we can easily declare each function as both `name' and `__name',
and can declare the float versions `namef' and `__namef'. */
#define __MATHCALL(function, args) \
__MATHDECL (_Mdouble_complex_,function, args)
#define __MATHDECL_IMPL(type, function, args) \
__MATHDECL_1(type, function, args); \
__MATHDECL_1(type, __CONCAT(__,function), args)
#define __MATHDECL(type, function, args) \
__MATHDECL_IMPL(type, function, args)
#define __MATHDECL_1_IMPL(type, function, args) \
extern type __MATH_PRECNAME(function) args __THROW
#define __MATHDECL_1(type, function, args) \
__MATHDECL_1_IMPL(type, function, args)
#define _Mdouble_ double
#define __MATH_PRECNAME(name) name
#include <bits/cmathcalls.h>
#undef _Mdouble_
#undef __MATH_PRECNAME
/* Now the float versions. */
#define _Mdouble_ float
#define __MATH_PRECNAME(name) name##f
#include <bits/cmathcalls.h>
#undef _Mdouble_
#undef __MATH_PRECNAME
/* And the long double versions. It is non-critical to define them
here unconditionally since `long double' is required in ISO C99. */
#if !(defined __NO_LONG_DOUBLE_MATH && defined _LIBC) \
|| defined __LDBL_COMPAT
# ifdef __LDBL_COMPAT
# undef __MATHDECL_1
# define __MATHDECL_1(type, function, args) \
extern type __REDIRECT_NTH(__MATH_PRECNAME(function), args, function)
# elif __LDOUBLE_REDIRECTS_TO_FLOAT128_ABI == 1
# undef __MATHDECL_1
# undef __MATHDECL
# define __REDIR_TO(function) \
__ ## function ## ieee128
# define __MATHDECL_1(type, function, alias, args) \
extern type __REDIRECT_NTH(__MATH_PRECNAME(function), args, alias)
#define __MATHDECL(type, function, args) \
__MATHDECL_1(type, function, __REDIR_TO(function), args); \
__MATHDECL_1(type, __CONCAT(__,function), __REDIR_TO(function), args)
# endif
# define _Mdouble_ long double
# define __MATH_PRECNAME(name) name##l
# include <bits/cmathcalls.h>
# if defined __LDBL_COMPAT \
|| __LDOUBLE_REDIRECTS_TO_FLOAT128_ABI == 1
# undef __REDIR_TO
# undef __MATHDECL_1
# undef __MATHDECL
#define __MATHDECL(type, function, args) \
__MATHDECL_IMPL(type, function, args)
# define __MATHDECL_1(type, function, args) \
__MATHDECL_1_IMPL(type, function, args)
# endif
#endif
#undef _Mdouble_
#undef __MATH_PRECNAME
#if (__HAVE_DISTINCT_FLOAT16 || (__HAVE_FLOAT16 && !defined _LIBC)) \
&& __GLIBC_USE (IEC_60559_TYPES_EXT)
# undef _Mdouble_complex_
# define _Mdouble_complex_ __CFLOAT16
# define _Mdouble_ _Float16
# define __MATH_PRECNAME(name) name##f16
# include <bits/cmathcalls.h>
# undef _Mdouble_
# undef __MATH_PRECNAME
# undef _Mdouble_complex_
#endif
#if (__HAVE_DISTINCT_FLOAT32 || (__HAVE_FLOAT32 && !defined _LIBC)) \
&& __GLIBC_USE (IEC_60559_TYPES_EXT)
# undef _Mdouble_complex_
# define _Mdouble_complex_ __CFLOAT32
# define _Mdouble_ _Float32
# define __MATH_PRECNAME(name) name##f32
# include <bits/cmathcalls.h>
# undef _Mdouble_
# undef __MATH_PRECNAME
# undef _Mdouble_complex_
#endif
#if (__HAVE_DISTINCT_FLOAT64 || (__HAVE_FLOAT64 && !defined _LIBC)) \
&& __GLIBC_USE (IEC_60559_TYPES_EXT)
# undef _Mdouble_complex_
# define _Mdouble_complex_ __CFLOAT64
# define _Mdouble_ _Float64
# define __MATH_PRECNAME(name) name##f64
# include <bits/cmathcalls.h>
# undef _Mdouble_
# undef __MATH_PRECNAME
# undef _Mdouble_complex_
#endif
#if (__HAVE_DISTINCT_FLOAT128 || (__HAVE_FLOAT128 && !defined _LIBC)) \
&& __GLIBC_USE (IEC_60559_TYPES_EXT)
# undef _Mdouble_complex_
# define _Mdouble_complex_ __CFLOAT128
# define _Mdouble_ _Float128
# define __MATH_PRECNAME(name) name##f128
# include <bits/cmathcalls.h>
# undef _Mdouble_
# undef __MATH_PRECNAME
# undef _Mdouble_complex_
#endif
#if (__HAVE_DISTINCT_FLOAT32X || (__HAVE_FLOAT32X && !defined _LIBC)) \
&& __GLIBC_USE (IEC_60559_TYPES_EXT)
# undef _Mdouble_complex_
# define _Mdouble_complex_ __CFLOAT32X
# define _Mdouble_ _Float32x
# define __MATH_PRECNAME(name) name##f32x
# include <bits/cmathcalls.h>
# undef _Mdouble_
# undef __MATH_PRECNAME
# undef _Mdouble_complex_
#endif
#if (__HAVE_DISTINCT_FLOAT64X || (__HAVE_FLOAT64X && !defined _LIBC)) \
&& __GLIBC_USE (IEC_60559_TYPES_EXT)
# undef _Mdouble_complex_
# define _Mdouble_complex_ __CFLOAT64X
# define _Mdouble_ _Float64x
# define __MATH_PRECNAME(name) name##f64x
# include <bits/cmathcalls.h>
# undef _Mdouble_
# undef __MATH_PRECNAME
# undef _Mdouble_complex_
#endif
#if (__HAVE_DISTINCT_FLOAT128X || (__HAVE_FLOAT128X && !defined _LIBC)) \
&& __GLIBC_USE (IEC_60559_TYPES_EXT)
# undef _Mdouble_complex_
# define _Mdouble_complex_ __CFLOAT128X
# define _Mdouble_ _Float128x
# define __MATH_PRECNAME(name) name##f128x
# include <bits/cmathcalls.h>
# undef _Mdouble_
# undef __MATH_PRECNAME
# undef _Mdouble_complex_
#endif
#undef __MATHDECL_1_IMPL
#undef __MATHDECL_1
#undef __MATHDECL
#undef __MATHCALL
__END_DECLS
#endif /* complex.h */