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glibc/math/tgmath.h
Joseph Myers a6ccdb0839 Use __HAVE_DISTINCT_FLOAT128 in tgmath.h. 
When _Float128 is ABI-equivalent to long double, there is no need for
tgmath.h to have any special _Float128 handling: it's always OK to
call the long double versions of functions for _Float128 arguments in
that case, and the logic to determine return types is generic.  Thus,
this patch changes the use of __HAVE_FLOAT128 to
__HAVE_DISTINCT_FLOAT128, as a minor optimization to reduce the size
of the macro expansions in the ABI-equivalent case.

Tested for x86_64.

	* math/tgmath.h [__HAVE_FLOAT128]: Change conditional to
	[__HAVE_DISTINCT_FLOAT128].
2017-08-25 17:02:33 +00:00

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/* Copyright (C) 1997-2017 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>
*/
#ifndef _TGMATH_H
#define _TGMATH_H 1
#define __GLIBC_INTERNAL_STARTING_HEADER_IMPLEMENTATION
#include <bits/libc-header-start.h>
/* Include the needed headers. */
#include <bits/floatn.h>
#include <math.h>
#include <complex.h>
/* Since `complex' is currently not really implemented in most C compilers
and if it is implemented, the implementations differ. This makes it
quite difficult to write a generic implementation of this header. We
do not try this for now and instead concentrate only on GNU CC. Once
we have more information support for other compilers might follow. */
#if __GNUC_PREREQ (2, 7)
# ifdef __NO_LONG_DOUBLE_MATH
# define __tgml(fct) fct
# else
# define __tgml(fct) fct ## l
# endif
/* This is ugly but unless gcc gets appropriate builtins we have to do
something like this. Don't ask how it works. */
/* __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)
# else
/* 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))
# endif
/* 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 \
? (__typeof__ (0 ? (T *) 0 : (void *) (!(E1)))) 0 \
: (__typeof__ (0 \
? (__typeof__ (0 \
? (double *) 0 \
: (void *) (!(E2)))) 0 \
: (__typeof__ (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))))
/* 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)
# define __TGMATH_F128(arg_comb, fct, arg_call) \
__builtin_types_compatible_p (__typeof (+(arg_comb)), _Float128) \
? fct ## f128 arg_call :
# define __TGMATH_CF128(arg_comb, fct, cfct, arg_call) \
__builtin_types_compatible_p (__typeof (+__real__ (arg_comb)), _Float128) \
? (__expr_is_real (arg_comb) \
? fct ## f128 arg_call \
: cfct ## f128 arg_call) :
# else
# define __TGMATH_F128(arg_comb, fct, arg_call) /* Nothing. */
# define __TGMATH_CF128(arg_comb, fct, cfct, arg_call) /* Nothing. */
# endif
/* 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. */
# 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, \
(Val)) \
(__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) \
? Fct (Val) \
: (sizeof (+(Val)) == sizeof (float)) \
? Fct##f (Val) \
: __TGMATH_F128 ((Val), Fct, (Val)) \
__tgml(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, \
(Val1, Val2)) \
(__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), \
(__typeof \
((__tgmath_real_type (Val1)) 0 \
+ (__tgmath_real_type (Val2)) 0)) Fct, \
(Val1, Val2)) \
(__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)) \
Fct (Val1, Val2) \
: (__typeof ((__tgmath_real_type (Val1)) 0 \
+ (__tgmath_real_type (Val2)) 0)) \
Fct##f (Val1, Val2)))
# 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)) \
Fct (Val1, Val2) \
: (__typeof ((__tgmath_real_type (Val1)) 0 \
+ (__tgmath_real_type (Val2)) 0)) \
Fct##f (Val1, Val2)))
# 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) \
? Fct (Val1, Val2) \
: Fct##f (Val1, Val2)))
# 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), \
(__typeof \
((__tgmath_real_type (Val1)) 0 \
+ (__tgmath_real_type (Val2)) 0)) Fct, \
(Val1, Val2, Val3)) \
(__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)) \
Fct (Val1, Val2, Val3) \
: (__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)) \
== 8) \
? __TGMATH_F128 ((Val1) + (Val2) + (Val3), \
(__typeof \
((__tgmath_real_type (Val1)) 0 \
+ (__tgmath_real_type (Val2)) 0 \
+ (__tgmath_real_type (Val3)) 0)) Fct, \
(Val1, Val2, Val3)) \
(__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)) \
Fct (Val1, Val2, Val3) \
: (__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, \
(Val)) \
(__expr_is_real (Val) \
? (__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), \
(__typeof__ \
((__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))\
Fct (Val) \
: (__typeof__ (__real__ (__tgmath_real_type (Val)) 0))\
Cfct (Val)) \
: (sizeof (+__real__ (Val)) == sizeof (float)) \
? (__expr_is_real (Val) \
? (__typeof__ (__real__ (__tgmath_real_type (Val)) 0))\
Fct##f (Val) \
: (__typeof__ (__real__ (__tgmath_real_type (Val)) 0))\
Cfct##f (Val)) \
: __TGMATH_CF128 ((Val), \
(__typeof__ \
(__real__ \
(__tgmath_real_type (Val)) 0)) Fct, \
(__typeof__ \
(__real__ \
(__tgmath_real_type (Val)) 0)) Cfct, \
(Val)) \
(__expr_is_real (Val) \
? (__typeof__ (__real__ (__tgmath_real_type (Val)) 0)) \
__tgml(Fct) (Val) \
: (__typeof__ (__real__ (__tgmath_real_type (Val)) 0)) \
__tgml(Cfct) (Val))))
/* 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), \
(__typeof \
((__tgmath_complex_type (Val1)) 0 \
+ (__tgmath_complex_type (Val2)) 0)) \
Fct, \
(__typeof \
((__tgmath_complex_type (Val1)) 0 \
+ (__tgmath_complex_type (Val2)) 0)) \
Cfct, \
(Val1, Val2)) \
(__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)) \
Fct (Val1, Val2) \
: (__typeof ((__tgmath_complex_type (Val1)) 0 \
+ (__tgmath_complex_type (Val2)) 0)) \
Cfct (Val1, Val2)) \
: (__expr_is_real ((Val1) + (Val2)) \
? (__typeof ((__tgmath_complex_type (Val1)) 0 \
+ (__tgmath_complex_type (Val2)) 0)) \
Fct##f (Val1, Val2) \
: (__typeof ((__tgmath_complex_type (Val1)) 0 \
+ (__tgmath_complex_type (Val2)) 0)) \
Cfct##f (Val1, Val2))))
#else
# error "Unsupported compiler; you cannot use <tgmath.h>"
#endif
/* Unary functions defined for real and complex values. */
/* Trigonometric functions. */
/* Arc cosine of X. */
#define acos(Val) __TGMATH_UNARY_REAL_IMAG (Val, acos, cacos)
/* Arc sine of X. */
#define asin(Val) __TGMATH_UNARY_REAL_IMAG (Val, asin, casin)
/* Arc tangent of X. */
#define atan(Val) __TGMATH_UNARY_REAL_IMAG (Val, atan, catan)
/* Arc tangent of Y/X. */
#define atan2(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, atan2)
/* Cosine of X. */
#define cos(Val) __TGMATH_UNARY_REAL_IMAG (Val, cos, ccos)
/* Sine of X. */
#define sin(Val) __TGMATH_UNARY_REAL_IMAG (Val, sin, csin)
/* Tangent of X. */
#define tan(Val) __TGMATH_UNARY_REAL_IMAG (Val, tan, ctan)
/* Hyperbolic functions. */
/* Hyperbolic arc cosine of X. */
#define acosh(Val) __TGMATH_UNARY_REAL_IMAG (Val, acosh, cacosh)
/* Hyperbolic arc sine of X. */
#define asinh(Val) __TGMATH_UNARY_REAL_IMAG (Val, asinh, casinh)
/* Hyperbolic arc tangent of X. */
#define atanh(Val) __TGMATH_UNARY_REAL_IMAG (Val, atanh, catanh)
/* Hyperbolic cosine of X. */
#define cosh(Val) __TGMATH_UNARY_REAL_IMAG (Val, cosh, ccosh)
/* Hyperbolic sine of X. */
#define sinh(Val) __TGMATH_UNARY_REAL_IMAG (Val, sinh, csinh)
/* Hyperbolic tangent of X. */
#define tanh(Val) __TGMATH_UNARY_REAL_IMAG (Val, tanh, ctanh)
/* Exponential and logarithmic functions. */
/* Exponential function of X. */
#define exp(Val) __TGMATH_UNARY_REAL_IMAG (Val, exp, cexp)
/* Break VALUE into a normalized fraction and an integral power of 2. */
#define frexp(Val1, Val2) __TGMATH_BINARY_FIRST_REAL_ONLY (Val1, Val2, frexp)
/* X times (two to the EXP power). */
#define ldexp(Val1, Val2) __TGMATH_BINARY_FIRST_REAL_ONLY (Val1, Val2, ldexp)
/* Natural logarithm of X. */
#define log(Val) __TGMATH_UNARY_REAL_IMAG (Val, log, clog)
/* Base-ten logarithm of X. */
#ifdef __USE_GNU
# define log10(Val) __TGMATH_UNARY_REAL_IMAG (Val, log10, clog10)
#else
# define log10(Val) __TGMATH_UNARY_REAL_ONLY (Val, log10)
#endif
/* Return exp(X) - 1. */
#define expm1(Val) __TGMATH_UNARY_REAL_ONLY (Val, expm1)
/* Return log(1 + X). */
#define log1p(Val) __TGMATH_UNARY_REAL_ONLY (Val, log1p)
/* Return the base 2 signed integral exponent of X. */
#define logb(Val) __TGMATH_UNARY_REAL_ONLY (Val, logb)
/* Compute base-2 exponential of X. */
#define exp2(Val) __TGMATH_UNARY_REAL_ONLY (Val, exp2)
/* Compute base-2 logarithm of X. */
#define log2(Val) __TGMATH_UNARY_REAL_ONLY (Val, log2)
/* Power functions. */
/* Return X to the Y power. */
#define pow(Val1, Val2) __TGMATH_BINARY_REAL_IMAG (Val1, Val2, pow, cpow)
/* Return the square root of X. */
#define sqrt(Val) __TGMATH_UNARY_REAL_IMAG (Val, sqrt, csqrt)
/* Return `sqrt(X*X + Y*Y)'. */
#define hypot(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, hypot)
/* Return the cube root of X. */
#define cbrt(Val) __TGMATH_UNARY_REAL_ONLY (Val, cbrt)
/* Nearest integer, absolute value, and remainder functions. */
/* Smallest integral value not less than X. */
#define ceil(Val) __TGMATH_UNARY_REAL_ONLY (Val, ceil)
/* Absolute value of X. */
#define fabs(Val) __TGMATH_UNARY_REAL_IMAG_RET_REAL (Val, fabs, cabs)
/* Largest integer not greater than X. */
#define floor(Val) __TGMATH_UNARY_REAL_ONLY (Val, floor)
/* Floating-point modulo remainder of X/Y. */
#define fmod(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, fmod)
/* Round X to integral valuein floating-point format using current
rounding direction, but do not raise inexact exception. */
#define nearbyint(Val) __TGMATH_UNARY_REAL_ONLY (Val, nearbyint)
/* Round X to nearest integral value, rounding halfway cases away from
zero. */
#define round(Val) __TGMATH_UNARY_REAL_ONLY (Val, round)
/* Round X to the integral value in floating-point format nearest but
not larger in magnitude. */
#define trunc(Val) __TGMATH_UNARY_REAL_ONLY (Val, trunc)
/* Compute remainder of X and Y and put in *QUO a value with sign of x/y
and magnitude congruent `mod 2^n' to the magnitude of the integral
quotient x/y, with n >= 3. */
#define remquo(Val1, Val2, Val3) \
__TGMATH_TERNARY_FIRST_SECOND_REAL_ONLY (Val1, Val2, Val3, remquo)
/* Round X to nearest integral value according to current rounding
direction. */
#define lrint(Val) __TGMATH_UNARY_REAL_RET_ONLY (Val, lrint)
#define llrint(Val) __TGMATH_UNARY_REAL_RET_ONLY (Val, llrint)
/* Round X to nearest integral value, rounding halfway cases away from
zero. */
#define lround(Val) __TGMATH_UNARY_REAL_RET_ONLY (Val, lround)
#define llround(Val) __TGMATH_UNARY_REAL_RET_ONLY (Val, llround)
/* Return X with its signed changed to Y's. */
#define copysign(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, copysign)
/* Error and gamma functions. */
#define erf(Val) __TGMATH_UNARY_REAL_ONLY (Val, erf)
#define erfc(Val) __TGMATH_UNARY_REAL_ONLY (Val, erfc)
#define tgamma(Val) __TGMATH_UNARY_REAL_ONLY (Val, tgamma)
#define lgamma(Val) __TGMATH_UNARY_REAL_ONLY (Val, lgamma)
/* Return the integer nearest X in the direction of the
prevailing rounding mode. */
#define rint(Val) __TGMATH_UNARY_REAL_ONLY (Val, rint)
#if __GLIBC_USE (IEC_60559_BFP_EXT)
/* Return X - epsilon. */
# define nextdown(Val) __TGMATH_UNARY_REAL_ONLY (Val, nextdown)
/* Return X + epsilon. */
# define nextup(Val) __TGMATH_UNARY_REAL_ONLY (Val, nextup)
#endif
/* Return X + epsilon if X < Y, X - epsilon if X > Y. */
#define nextafter(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, nextafter)
#define nexttoward(Val1, Val2) \
__TGMATH_BINARY_FIRST_REAL_STD_ONLY (Val1, Val2, nexttoward)
/* Return the remainder of integer divison X / Y with infinite precision. */
#define remainder(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, remainder)
/* Return X times (2 to the Nth power). */
#ifdef __USE_MISC
# define scalb(Val1, Val2) __TGMATH_BINARY_REAL_STD_ONLY (Val1, Val2, scalb)
#endif
/* Return X times (2 to the Nth power). */
#define scalbn(Val1, Val2) __TGMATH_BINARY_FIRST_REAL_ONLY (Val1, Val2, scalbn)
/* Return X times (2 to the Nth power). */
#define scalbln(Val1, Val2) \
__TGMATH_BINARY_FIRST_REAL_ONLY (Val1, Val2, scalbln)
/* Return the binary exponent of X, which must be nonzero. */
#define ilogb(Val) __TGMATH_UNARY_REAL_RET_ONLY (Val, ilogb)
/* Return positive difference between X and Y. */
#define fdim(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, fdim)
/* Return maximum numeric value from X and Y. */
#define fmax(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, fmax)
/* Return minimum numeric value from X and Y. */
#define fmin(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, fmin)
/* Multiply-add function computed as a ternary operation. */
#define fma(Val1, Val2, Val3) \
__TGMATH_TERNARY_REAL_ONLY (Val1, Val2, Val3, fma)
#if __GLIBC_USE (IEC_60559_BFP_EXT)
/* Round X to nearest integer value, rounding halfway cases to even. */
# define roundeven(Val) __TGMATH_UNARY_REAL_ONLY (Val, roundeven)
# define fromfp(Val1, Val2, Val3) \
__TGMATH_TERNARY_FIRST_REAL_RET_ONLY (Val1, Val2, Val3, fromfp)
# define ufromfp(Val1, Val2, Val3) \
__TGMATH_TERNARY_FIRST_REAL_RET_ONLY (Val1, Val2, Val3, ufromfp)
# define fromfpx(Val1, Val2, Val3) \
__TGMATH_TERNARY_FIRST_REAL_RET_ONLY (Val1, Val2, Val3, fromfpx)
# define ufromfpx(Val1, Val2, Val3) \
__TGMATH_TERNARY_FIRST_REAL_RET_ONLY (Val1, Val2, Val3, ufromfpx)
/* Like ilogb, but returning long int. */
# define llogb(Val) __TGMATH_UNARY_REAL_RET_ONLY (Val, llogb)
/* Return value with maximum magnitude. */
# define fmaxmag(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, fmaxmag)
/* Return value with minimum magnitude. */
# define fminmag(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, fminmag)
/* Total order operation. */
# define totalorder(Val1, Val2) \
__TGMATH_BINARY_REAL_RET_ONLY (Val1, Val2, totalorder)
/* Total order operation on absolute values. */
# define totalordermag(Val1, Val2) \
__TGMATH_BINARY_REAL_RET_ONLY (Val1, Val2, totalordermag)
#endif
/* Absolute value, conjugates, and projection. */
/* Argument value of Z. */
#define carg(Val) __TGMATH_UNARY_REAL_IMAG_RET_REAL (Val, carg, carg)
/* Complex conjugate of Z. */
#define conj(Val) __TGMATH_UNARY_IMAG (Val, conj)
/* Projection of Z onto the Riemann sphere. */
#define cproj(Val) __TGMATH_UNARY_IMAG (Val, cproj)
/* Decomposing complex values. */
/* Imaginary part of Z. */
#define cimag(Val) __TGMATH_UNARY_REAL_IMAG_RET_REAL (Val, cimag, cimag)
/* Real part of Z. */
#define creal(Val) __TGMATH_UNARY_REAL_IMAG_RET_REAL (Val, creal, creal)
#endif /* tgmath.h */
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