/* Copyright (C) 1997-2018 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
<http://www.gnu.org/licenses/>. */
* ISO C99 Standard: 7.22 Type-generic math <tgmath.h>
#define __GLIBC_INTERNAL_STARTING_HEADER_IMPLEMENTATION
#include <bits/libc-header-start.h>
/* Include the needed headers. */
/* There are two variant implementations of type-generic macros in
this file: one for GCC 8 and later, using __builtin_tgmath and
where each macro expands each of its arguments only once, and one
for older GCC, using other compiler extensions but with macros
expanding their arguments many times (so resulting in exponential
blowup of the size of expansions when calls to such macros are
nested inside arguments to such macros). */
#define __HAVE_BUILTIN_TGMATH __GNUC_PREREQ (8, 0)
# if __HAVE_BUILTIN_TGMATH
# if __HAVE_FLOAT16 && __GLIBC_USE (IEC_60559_TYPES_EXT)
# define __TG_F16_ARG(X) X ## f16,
# if __HAVE_FLOAT32 && __GLIBC_USE (IEC_60559_TYPES_EXT)
# define __TG_F32_ARG(X) X ## f32,
# if __HAVE_FLOAT64 && __GLIBC_USE (IEC_60559_TYPES_EXT)
# define __TG_F64_ARG(X) X ## f64,
# if __HAVE_FLOAT128 && __GLIBC_USE (IEC_60559_TYPES_EXT)
# define __TG_F128_ARG(X) X ## f128,
# define __TG_F128_ARG(X)
# if __HAVE_FLOAT32X && __GLIBC_USE (IEC_60559_TYPES_EXT)
# define __TG_F32X_ARG(X) X ## f32x,
# define __TG_F32X_ARG(X)
# if __HAVE_FLOAT64X && __GLIBC_USE (IEC_60559_TYPES_EXT)
# define __TG_F64X_ARG(X) X ## f64x,
# define __TG_F64X_ARG(X)
# if __HAVE_FLOAT128X && __GLIBC_USE (IEC_60559_TYPES_EXT)
# define __TG_F128X_ARG(X) X ## f128x,
# define __TG_F128X_ARG(X)
# define __TGMATH_FUNCS(X) X ## f, X, X ## l, \
__TG_F16_ARG (X) __TG_F32_ARG (X) __TG_F64_ARG (X) __TG_F128_ARG (X) \
__TG_F32X_ARG (X) __TG_F64X_ARG (X) __TG_F128X_ARG (X)
# define __TGMATH_RCFUNCS(F, C) __TGMATH_FUNCS (F) __TGMATH_FUNCS (C)
# define __TGMATH_1(F, X) __builtin_tgmath (__TGMATH_FUNCS (F) (X))
# define __TGMATH_2(F, X, Y) __builtin_tgmath (__TGMATH_FUNCS (F) (X), (Y))
# define __TGMATH_2STD(F, X, Y) __builtin_tgmath (F ## f, F, F ## l, (X), (Y))
# define __TGMATH_3(F, X, Y, Z) __builtin_tgmath (__TGMATH_FUNCS (F) \
# define __TGMATH_1C(F, C, X) __builtin_tgmath (__TGMATH_RCFUNCS (F, C) (X))
# define __TGMATH_2C(F, C, X, Y) __builtin_tgmath (__TGMATH_RCFUNCS (F, C) \
# else /* !__HAVE_BUILTIN_TGMATH. */
# ifdef __NO_LONG_DOUBLE_MATH
# define __tgml(fct) fct ## l
/* __floating_type expands to 1 if TYPE is a floating type (including
complex floating types), 0 if TYPE is an integer type (including
complex integer types). __real_integer_type expands to 1 if TYPE
is a real integer type. __complex_integer_type expands to 1 if
TYPE is a complex integer type. All these macros expand to integer
constant expressions. All these macros can assume their argument
has an arithmetic type (not vector, decimal floating-point or
fixed-point), valid to pass to tgmath.h macros. */
# if __GNUC_PREREQ (3, 1)
/* __builtin_classify_type expands to an integer constant expression
in GCC 3.1 and later. Default conversions applied to the argument
of __builtin_classify_type mean it always returns 1 for real
integer types rather than ever returning different values for
character, boolean or enumerated types. */
# define __floating_type(type) \
(__builtin_classify_type (__real__ ((type) 0)) == 8)
# define __real_integer_type(type) \
(__builtin_classify_type ((type) 0) == 1)
# define __complex_integer_type(type) \
(__builtin_classify_type ((type) 0) == 9 \
&& __builtin_classify_type (__real__ ((type) 0)) == 1)
/* GCC versions predating __builtin_classify_type are also looser on
what counts as an integer constant expression. */
# define __floating_type(type) (((type) 1.25) != 1)
# define __real_integer_type(type) (((type) (1.25 + _Complex_I)) == 1)
# define __complex_integer_type(type) \
(((type) (1.25 + _Complex_I)) == (1 + _Complex_I))
/* Whether an expression (of arithmetic type) has a real type. */
# define __expr_is_real(E) (__builtin_classify_type (E) != 9)
/* The tgmath real type for T, where E is 0 if T is an integer type
and 1 for a floating type. If T has a complex type, it is
unspecified whether the return type is real or complex (but it has
the correct corresponding real type). */
# define __tgmath_real_type_sub(T, E) \
__typeof__ (*(0 ? (__typeof__ (0 ? (double *) 0 : (void *) (E))) 0 \
: (__typeof__ (0 ? (T *) 0 : (void *) (!(E)))) 0))
/* The tgmath real type of EXPR. */
# define __tgmath_real_type(expr) \
__tgmath_real_type_sub (__typeof__ ((__typeof__ (+(expr))) 0), \
__floating_type (__typeof__ (+(expr))))
/* The tgmath complex type for T, where E1 is 1 if T has a floating
type and 0 otherwise, E2 is 1 if T has a real integer type and 0
otherwise, and E3 is 1 if T has a complex type and 0 otherwise. */
# define __tgmath_complex_type_sub(T, E1, E2, E3) \
? (__typeof__ (0 ? (T *) 0 : (void *) (!(E1)))) 0 \
? (_Complex double *) 0 \
: (void *) (!(E3)))) 0)) 0))
/* The tgmath complex type of EXPR. */
# define __tgmath_complex_type(expr) \
__tgmath_complex_type_sub (__typeof__ ((__typeof__ (+(expr))) 0), \
__floating_type (__typeof__ (+(expr))), \
__real_integer_type (__typeof__ (+(expr))), \
__complex_integer_type (__typeof__ (+(expr))))
# if (__HAVE_DISTINCT_FLOAT16 \
|| __HAVE_DISTINCT_FLOAT32 \
|| __HAVE_DISTINCT_FLOAT64 \
|| __HAVE_DISTINCT_FLOAT32X \
|| __HAVE_DISTINCT_FLOAT64X \
|| __HAVE_DISTINCT_FLOAT128X)
# error "Unsupported _FloatN or _FloatNx types for <tgmath.h>."
/* Expand to text that checks if ARG_COMB has type _Float128, and if
so calls the appropriately suffixed FCT (which may include a cast),
or FCT and CFCT for complex functions, with arguments ARG_CALL. */
# if __HAVE_DISTINCT_FLOAT128 && __GLIBC_USE (IEC_60559_TYPES_EXT)
|| __HAVE_FLOAT64X_LONG_DOUBLE \
|| !__HAVE_FLOATN_NOT_TYPEDEF)
# define __TGMATH_F128(arg_comb, fct, arg_call) \
__builtin_types_compatible_p (__typeof (+(arg_comb)), _Float128) \
# define __TGMATH_CF128(arg_comb, fct, cfct, arg_call) \
__builtin_types_compatible_p (__typeof (+__real__ (arg_comb)), _Float128) \
? (__expr_is_real (arg_comb) \
: cfct ## f128 arg_call) :
/* _Float64x is a distinct type at the C language level, which must be
handled like _Float128. */
# define __TGMATH_F128(arg_comb, fct, arg_call) \
(__builtin_types_compatible_p (__typeof (+(arg_comb)), _Float128) \
|| __builtin_types_compatible_p (__typeof (+(arg_comb)), _Float64x)) \
# define __TGMATH_CF128(arg_comb, fct, cfct, arg_call) \
(__builtin_types_compatible_p (__typeof (+__real__ (arg_comb)), _Float128) \
|| __builtin_types_compatible_p (__typeof (+__real__ (arg_comb)), \
? (__expr_is_real (arg_comb) \
: cfct ## f128 arg_call) :
# define __TGMATH_F128(arg_comb, fct, arg_call) /* Nothing. */
# define __TGMATH_CF128(arg_comb, fct, cfct, arg_call) /* Nothing. */
# endif /* !__HAVE_BUILTIN_TGMATH. */
/* We have two kinds of generic macros: to support functions which are
only defined on real valued parameters and those which are defined
for complex functions as well. */
# if __HAVE_BUILTIN_TGMATH
# define __TGMATH_UNARY_REAL_ONLY(Val, Fct) __TGMATH_1 (Fct, (Val))
# define __TGMATH_UNARY_REAL_RET_ONLY(Val, Fct) __TGMATH_1 (Fct, (Val))
# define __TGMATH_BINARY_FIRST_REAL_ONLY(Val1, Val2, Fct) \
__TGMATH_2 (Fct, (Val1), (Val2))
# define __TGMATH_BINARY_FIRST_REAL_STD_ONLY(Val1, Val2, Fct) \
__TGMATH_2STD (Fct, (Val1), (Val2))
# define __TGMATH_BINARY_REAL_ONLY(Val1, Val2, Fct) \
__TGMATH_2 (Fct, (Val1), (Val2))
# define __TGMATH_BINARY_REAL_STD_ONLY(Val1, Val2, Fct) \
__TGMATH_2STD (Fct, (Val1), (Val2))
# define __TGMATH_BINARY_REAL_RET_ONLY(Val1, Val2, Fct) \
__TGMATH_2 (Fct, (Val1), (Val2))
# define __TGMATH_TERNARY_FIRST_SECOND_REAL_ONLY(Val1, Val2, Val3, Fct) \
__TGMATH_3 (Fct, (Val1), (Val2), (Val3))
# define __TGMATH_TERNARY_REAL_ONLY(Val1, Val2, Val3, Fct) \
__TGMATH_3 (Fct, (Val1), (Val2), (Val3))
# define __TGMATH_TERNARY_FIRST_REAL_RET_ONLY(Val1, Val2, Val3, Fct) \
__TGMATH_3 (Fct, (Val1), (Val2), (Val3))
# define __TGMATH_UNARY_REAL_IMAG(Val, Fct, Cfct) \
__TGMATH_1C (Fct, Cfct, (Val))
# define __TGMATH_UNARY_IMAG(Val, Cfct) __TGMATH_1 (Cfct, (Val))
# define __TGMATH_UNARY_REAL_IMAG_RET_REAL(Val, Fct, Cfct) \
__TGMATH_1C (Fct, Cfct, (Val))
# define __TGMATH_UNARY_REAL_IMAG_RET_REAL_SAME(Val, Cfct) \
# define __TGMATH_BINARY_REAL_IMAG(Val1, Val2, Fct, Cfct) \
__TGMATH_2C (Fct, Cfct, (Val1), (Val2))
# else /* !__HAVE_BUILTIN_TGMATH. */
# define __TGMATH_UNARY_REAL_ONLY(Val, Fct) \
(__extension__ ((sizeof (+(Val)) == sizeof (double) \
|| __builtin_classify_type (Val) != 8) \
? (__tgmath_real_type (Val)) Fct (Val) \
: (sizeof (+(Val)) == sizeof (float)) \
? (__tgmath_real_type (Val)) Fct##f (Val) \
: __TGMATH_F128 ((Val), (__tgmath_real_type (Val)) Fct, \
(__tgmath_real_type (Val)) __tgml(Fct) (Val)))
# define __TGMATH_UNARY_REAL_RET_ONLY(Val, Fct) \
(__extension__ ((sizeof (+(Val)) == sizeof (double) \
|| __builtin_classify_type (Val) != 8) \
: (sizeof (+(Val)) == sizeof (float)) \
: __TGMATH_F128 ((Val), Fct, (Val)) \
# define __TGMATH_BINARY_FIRST_REAL_ONLY(Val1, Val2, Fct) \
(__extension__ ((sizeof (+(Val1)) == sizeof (double) \
|| __builtin_classify_type (Val1) != 8) \
? (__tgmath_real_type (Val1)) Fct (Val1, Val2) \
: (sizeof (+(Val1)) == sizeof (float)) \
? (__tgmath_real_type (Val1)) Fct##f (Val1, Val2) \
: __TGMATH_F128 ((Val1), (__tgmath_real_type (Val1)) Fct, \
(__tgmath_real_type (Val1)) __tgml(Fct) (Val1, Val2)))
# define __TGMATH_BINARY_FIRST_REAL_STD_ONLY(Val1, Val2, Fct) \
(__extension__ ((sizeof (+(Val1)) == sizeof (double) \
|| __builtin_classify_type (Val1) != 8) \
? (__tgmath_real_type (Val1)) Fct (Val1, Val2) \
: (sizeof (+(Val1)) == sizeof (float)) \
? (__tgmath_real_type (Val1)) Fct##f (Val1, Val2) \
: (__tgmath_real_type (Val1)) __tgml(Fct) (Val1, Val2)))
# define __TGMATH_BINARY_REAL_ONLY(Val1, Val2, Fct) \
(__extension__ ((sizeof ((Val1) + (Val2)) > sizeof (double) \
&& __builtin_classify_type ((Val1) + (Val2)) == 8) \
? __TGMATH_F128 ((Val1) + (Val2), \
((__tgmath_real_type (Val1)) 0 \
+ (__tgmath_real_type (Val2)) 0)) Fct, \
(__typeof ((__tgmath_real_type (Val1)) 0 \
+ (__tgmath_real_type (Val2)) 0)) \
__tgml(Fct) (Val1, Val2) \
: (sizeof (+(Val1)) == sizeof (double) \
|| sizeof (+(Val2)) == sizeof (double) \
|| __builtin_classify_type (Val1) != 8 \
|| __builtin_classify_type (Val2) != 8) \
? (__typeof ((__tgmath_real_type (Val1)) 0 \
+ (__tgmath_real_type (Val2)) 0)) \
: (__typeof ((__tgmath_real_type (Val1)) 0 \
+ (__tgmath_real_type (Val2)) 0)) \
# define __TGMATH_BINARY_REAL_STD_ONLY(Val1, Val2, Fct) \
(__extension__ ((sizeof ((Val1) + (Val2)) > sizeof (double) \
&& __builtin_classify_type ((Val1) + (Val2)) == 8) \
? (__typeof ((__tgmath_real_type (Val1)) 0 \
+ (__tgmath_real_type (Val2)) 0)) \
__tgml(Fct) (Val1, Val2) \
: (sizeof (+(Val1)) == sizeof (double) \
|| sizeof (+(Val2)) == sizeof (double) \
|| __builtin_classify_type (Val1) != 8 \
|| __builtin_classify_type (Val2) != 8) \
? (__typeof ((__tgmath_real_type (Val1)) 0 \
+ (__tgmath_real_type (Val2)) 0)) \
: (__typeof ((__tgmath_real_type (Val1)) 0 \
+ (__tgmath_real_type (Val2)) 0)) \
# define __TGMATH_BINARY_REAL_RET_ONLY(Val1, Val2, Fct) \
(__extension__ ((sizeof ((Val1) + (Val2)) > sizeof (double) \
&& __builtin_classify_type ((Val1) + (Val2)) == 8) \
? __TGMATH_F128 ((Val1) + (Val2), Fct, (Val1, Val2)) \
__tgml(Fct) (Val1, Val2) \
: (sizeof (+(Val1)) == sizeof (double) \
|| sizeof (+(Val2)) == sizeof (double) \
|| __builtin_classify_type (Val1) != 8 \
|| __builtin_classify_type (Val2) != 8) \
# define __TGMATH_TERNARY_FIRST_SECOND_REAL_ONLY(Val1, Val2, Val3, Fct) \
(__extension__ ((sizeof ((Val1) + (Val2)) > sizeof (double) \
&& __builtin_classify_type ((Val1) + (Val2)) == 8) \
? __TGMATH_F128 ((Val1) + (Val2), \
((__tgmath_real_type (Val1)) 0 \
+ (__tgmath_real_type (Val2)) 0)) Fct, \
(__typeof ((__tgmath_real_type (Val1)) 0 \
+ (__tgmath_real_type (Val2)) 0)) \
__tgml(Fct) (Val1, Val2, Val3) \
: (sizeof (+(Val1)) == sizeof (double) \
|| sizeof (+(Val2)) == sizeof (double) \
|| __builtin_classify_type (Val1) != 8 \
|| __builtin_classify_type (Val2) != 8) \
? (__typeof ((__tgmath_real_type (Val1)) 0 \
+ (__tgmath_real_type (Val2)) 0)) \
: (__typeof ((__tgmath_real_type (Val1)) 0 \
+ (__tgmath_real_type (Val2)) 0)) \
Fct##f (Val1, Val2, Val3)))
# define __TGMATH_TERNARY_REAL_ONLY(Val1, Val2, Val3, Fct) \
(__extension__ ((sizeof ((Val1) + (Val2) + (Val3)) > sizeof (double) \
&& __builtin_classify_type ((Val1) + (Val2) + (Val3)) \
? __TGMATH_F128 ((Val1) + (Val2) + (Val3), \
((__tgmath_real_type (Val1)) 0 \
+ (__tgmath_real_type (Val2)) 0 \
+ (__tgmath_real_type (Val3)) 0)) Fct, \
(__typeof ((__tgmath_real_type (Val1)) 0 \
+ (__tgmath_real_type (Val2)) 0 \
+ (__tgmath_real_type (Val3)) 0)) \
__tgml(Fct) (Val1, Val2, Val3) \
: (sizeof (+(Val1)) == sizeof (double) \
|| sizeof (+(Val2)) == sizeof (double) \
|| sizeof (+(Val3)) == sizeof (double) \
|| __builtin_classify_type (Val1) != 8 \
|| __builtin_classify_type (Val2) != 8 \
|| __builtin_classify_type (Val3) != 8) \
? (__typeof ((__tgmath_real_type (Val1)) 0 \
+ (__tgmath_real_type (Val2)) 0 \
+ (__tgmath_real_type (Val3)) 0)) \
: (__typeof ((__tgmath_real_type (Val1)) 0 \
+ (__tgmath_real_type (Val2)) 0 \
+ (__tgmath_real_type (Val3)) 0)) \
Fct##f (Val1, Val2, Val3)))
# define __TGMATH_TERNARY_FIRST_REAL_RET_ONLY(Val1, Val2, Val3, Fct) \
(__extension__ ((sizeof (+(Val1)) == sizeof (double) \
|| __builtin_classify_type (Val1) != 8) \
? Fct (Val1, Val2, Val3) \
: (sizeof (+(Val1)) == sizeof (float)) \
? Fct##f (Val1, Val2, Val3) \
: __TGMATH_F128 ((Val1), Fct, (Val1, Val2, Val3)) \
__tgml(Fct) (Val1, Val2, Val3)))
/* XXX This definition has to be changed as soon as the compiler understands
the imaginary keyword. */
# define __TGMATH_UNARY_REAL_IMAG(Val, Fct, Cfct) \
(__extension__ ((sizeof (+__real__ (Val)) == sizeof (double) \
|| __builtin_classify_type (__real__ (Val)) != 8) \
? (__expr_is_real (Val) \
? (__tgmath_complex_type (Val)) Fct (Val) \
: (__tgmath_complex_type (Val)) Cfct (Val)) \
: (sizeof (+__real__ (Val)) == sizeof (float)) \
? (__expr_is_real (Val) \
? (__tgmath_complex_type (Val)) Fct##f (Val) \
: (__tgmath_complex_type (Val)) Cfct##f (Val)) \
: __TGMATH_CF128 ((Val), \
(__tgmath_complex_type (Val)) Fct, \
(__tgmath_complex_type (Val)) Cfct, \
? (__tgmath_complex_type (Val)) __tgml(Fct) (Val) \
: (__tgmath_complex_type (Val)) __tgml(Cfct) (Val))))
# define __TGMATH_UNARY_IMAG(Val, Cfct) \
(__extension__ ((sizeof (+__real__ (Val)) == sizeof (double) \
|| __builtin_classify_type (__real__ (Val)) != 8) \
? (__typeof__ ((__tgmath_real_type (Val)) 0 \
+ _Complex_I)) Cfct (Val) \
: (sizeof (+__real__ (Val)) == sizeof (float)) \
? (__typeof__ ((__tgmath_real_type (Val)) 0 \
+ _Complex_I)) Cfct##f (Val) \
: __TGMATH_F128 (__real__ (Val), \
((__tgmath_real_type (Val)) 0 \
+ _Complex_I)) Cfct, (Val)) \
(__typeof__ ((__tgmath_real_type (Val)) 0 \
+ _Complex_I)) __tgml(Cfct) (Val)))
/* XXX This definition has to be changed as soon as the compiler understands
the imaginary keyword. */
# define __TGMATH_UNARY_REAL_IMAG_RET_REAL(Val, Fct, Cfct) \
(__extension__ ((sizeof (+__real__ (Val)) == sizeof (double) \
|| __builtin_classify_type (__real__ (Val)) != 8) \
? (__expr_is_real (Val) \
? (__typeof__ (__real__ (__tgmath_real_type (Val)) 0))\
: (__typeof__ (__real__ (__tgmath_real_type (Val)) 0))\
: (sizeof (+__real__ (Val)) == sizeof (float)) \
? (__expr_is_real (Val) \
? (__typeof__ (__real__ (__tgmath_real_type (Val)) 0))\
: (__typeof__ (__real__ (__tgmath_real_type (Val)) 0))\
: __TGMATH_CF128 ((Val), \
(__tgmath_real_type (Val)) 0)) Fct, \
(__tgmath_real_type (Val)) 0)) Cfct, \
? (__typeof__ (__real__ (__tgmath_real_type (Val)) 0)) \
: (__typeof__ (__real__ (__tgmath_real_type (Val)) 0)) \
# define __TGMATH_UNARY_REAL_IMAG_RET_REAL_SAME(Val, Cfct) \
__TGMATH_UNARY_REAL_IMAG_RET_REAL ((Val), Cfct, Cfct)
/* XXX This definition has to be changed as soon as the compiler understands
the imaginary keyword. */
# define __TGMATH_BINARY_REAL_IMAG(Val1, Val2, Fct, Cfct) \
(__extension__ ((sizeof (__real__ (Val1) \
+ __real__ (Val2)) > sizeof (double) \
&& __builtin_classify_type (__real__ (Val1) \
+ __real__ (Val2)) == 8) \
? __TGMATH_CF128 ((Val1) + (Val2), \
((__tgmath_complex_type (Val1)) 0 \
+ (__tgmath_complex_type (Val2)) 0)) \
((__tgmath_complex_type (Val1)) 0 \
+ (__tgmath_complex_type (Val2)) 0)) \
(__expr_is_real ((Val1) + (Val2)) \
? (__typeof ((__tgmath_complex_type (Val1)) 0 \
+ (__tgmath_complex_type (Val2)) 0)) \
__tgml(Fct) (Val1, Val2) \
: (__typeof ((__tgmath_complex_type (Val1)) 0 \
+ (__tgmath_complex_type (Val2)) 0)) \
__tgml(Cfct) (Val1, Val2)) \
: (sizeof (+__real__ (Val1)) == sizeof (double) \
|| sizeof (+__real__ (Val2)) == sizeof (double) \
|| __builtin_classify_type (__real__ (Val1)) != 8 \
|| __builtin_classify_type (__real__ (Val2)) != 8) \
? (__expr_is_real ((Val1) + (Val2)) \
? (__typeof ((__tgmath_complex_type (Val1)) 0 \
+ (__tgmath_complex_type (Val2)) 0)) \
: (__typeof ((__tgmath_complex_type (Val1)) 0 \