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455 lines
18 KiB
C
455 lines
18 KiB
C
/* Copyright (C) 1997-2014 Free Software Foundation, Inc.
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This file is part of the GNU C Library.
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The GNU C Library 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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The GNU C Library 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 GNU
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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 the GNU C Library; if not, see
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<http://www.gnu.org/licenses/>. */
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/*
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* ISO C99 Standard: 7.22 Type-generic math <tgmath.h>
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*/
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#ifndef _TGMATH_H
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#define _TGMATH_H 1
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/* Include the needed headers. */
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#include <math.h>
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#include <complex.h>
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/* Since `complex' is currently not really implemented in most C compilers
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and if it is implemented, the implementations differ. This makes it
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quite difficult to write a generic implementation of this header. We
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do not try this for now and instead concentrate only on GNU CC. Once
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we have more information support for other compilers might follow. */
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#if __GNUC_PREREQ (2, 7)
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# ifdef __NO_LONG_DOUBLE_MATH
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# define __tgml(fct) fct
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# else
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# define __tgml(fct) fct ## l
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# endif
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/* This is ugly but unless gcc gets appropriate builtins we have to do
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something like this. Don't ask how it works. */
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/* 1 if 'type' is a floating type, 0 if 'type' is an integer type.
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Allows for _Bool. Expands to an integer constant expression. */
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# if __GNUC_PREREQ (3, 1)
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# define __floating_type(type) \
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(__builtin_classify_type ((type) 0) == 8 \
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|| (__builtin_classify_type ((type) 0) == 9 \
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&& __builtin_classify_type (__real__ ((type) 0)) == 8))
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# else
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# define __floating_type(type) (((type) 0.25) && ((type) 0.25 - 1))
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# endif
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/* The tgmath real type for T, where E is 0 if T is an integer type and
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1 for a floating type. */
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# define __tgmath_real_type_sub(T, E) \
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__typeof__ (*(0 ? (__typeof__ (0 ? (double *) 0 : (void *) (E))) 0 \
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: (__typeof__ (0 ? (T *) 0 : (void *) (!(E)))) 0))
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/* The tgmath real type of EXPR. */
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# define __tgmath_real_type(expr) \
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__tgmath_real_type_sub (__typeof__ ((__typeof__ (expr)) 0), \
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__floating_type (__typeof__ (expr)))
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/* We have two kinds of generic macros: to support functions which are
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only defined on real valued parameters and those which are defined
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for complex functions as well. */
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# define __TGMATH_UNARY_REAL_ONLY(Val, Fct) \
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(__extension__ ((sizeof (Val) == sizeof (double) \
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|| __builtin_classify_type (Val) != 8) \
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? (__tgmath_real_type (Val)) Fct (Val) \
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: (sizeof (Val) == sizeof (float)) \
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? (__tgmath_real_type (Val)) Fct##f (Val) \
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: (__tgmath_real_type (Val)) __tgml(Fct) (Val)))
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# define __TGMATH_UNARY_REAL_RET_ONLY(Val, RetType, Fct) \
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(__extension__ ((sizeof (Val) == sizeof (double) \
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|| __builtin_classify_type (Val) != 8) \
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? (RetType) Fct (Val) \
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: (sizeof (Val) == sizeof (float)) \
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? (RetType) Fct##f (Val) \
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: (RetType) __tgml(Fct) (Val)))
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# define __TGMATH_BINARY_FIRST_REAL_ONLY(Val1, Val2, Fct) \
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(__extension__ ((sizeof (Val1) == sizeof (double) \
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|| __builtin_classify_type (Val1) != 8) \
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? (__tgmath_real_type (Val1)) Fct (Val1, Val2) \
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: (sizeof (Val1) == sizeof (float)) \
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? (__tgmath_real_type (Val1)) Fct##f (Val1, Val2) \
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: (__tgmath_real_type (Val1)) __tgml(Fct) (Val1, Val2)))
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# define __TGMATH_BINARY_REAL_ONLY(Val1, Val2, Fct) \
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(__extension__ (((sizeof (Val1) > sizeof (double) \
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|| sizeof (Val2) > sizeof (double)) \
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&& __builtin_classify_type ((Val1) + (Val2)) == 8) \
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? (__typeof ((__tgmath_real_type (Val1)) 0 \
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+ (__tgmath_real_type (Val2)) 0)) \
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__tgml(Fct) (Val1, Val2) \
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: (sizeof (Val1) == sizeof (double) \
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|| sizeof (Val2) == sizeof (double) \
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|| __builtin_classify_type (Val1) != 8 \
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|| __builtin_classify_type (Val2) != 8) \
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? (__typeof ((__tgmath_real_type (Val1)) 0 \
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+ (__tgmath_real_type (Val2)) 0)) \
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Fct (Val1, Val2) \
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: (__typeof ((__tgmath_real_type (Val1)) 0 \
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+ (__tgmath_real_type (Val2)) 0)) \
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Fct##f (Val1, Val2)))
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# define __TGMATH_TERNARY_FIRST_SECOND_REAL_ONLY(Val1, Val2, Val3, Fct) \
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(__extension__ (((sizeof (Val1) > sizeof (double) \
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|| sizeof (Val2) > sizeof (double)) \
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&& __builtin_classify_type ((Val1) + (Val2)) == 8) \
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? (__typeof ((__tgmath_real_type (Val1)) 0 \
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+ (__tgmath_real_type (Val2)) 0)) \
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__tgml(Fct) (Val1, Val2, Val3) \
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: (sizeof (Val1) == sizeof (double) \
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|| sizeof (Val2) == sizeof (double) \
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|| __builtin_classify_type (Val1) != 8 \
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|| __builtin_classify_type (Val2) != 8) \
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? (__typeof ((__tgmath_real_type (Val1)) 0 \
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+ (__tgmath_real_type (Val2)) 0)) \
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Fct (Val1, Val2, Val3) \
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: (__typeof ((__tgmath_real_type (Val1)) 0 \
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+ (__tgmath_real_type (Val2)) 0)) \
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Fct##f (Val1, Val2, Val3)))
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# define __TGMATH_TERNARY_REAL_ONLY(Val1, Val2, Val3, Fct) \
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(__extension__ (((sizeof (Val1) > sizeof (double) \
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|| sizeof (Val2) > sizeof (double) \
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|| sizeof (Val3) > sizeof (double)) \
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&& __builtin_classify_type ((Val1) + (Val2) + (Val3)) \
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== 8) \
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? (__typeof ((__tgmath_real_type (Val1)) 0 \
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+ (__tgmath_real_type (Val2)) 0 \
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+ (__tgmath_real_type (Val3)) 0)) \
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__tgml(Fct) (Val1, Val2, Val3) \
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: (sizeof (Val1) == sizeof (double) \
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|| sizeof (Val2) == sizeof (double) \
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|| sizeof (Val3) == sizeof (double) \
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|| __builtin_classify_type (Val1) != 8 \
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|| __builtin_classify_type (Val2) != 8 \
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|| __builtin_classify_type (Val3) != 8) \
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? (__typeof ((__tgmath_real_type (Val1)) 0 \
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+ (__tgmath_real_type (Val2)) 0 \
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+ (__tgmath_real_type (Val3)) 0)) \
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Fct (Val1, Val2, Val3) \
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: (__typeof ((__tgmath_real_type (Val1)) 0 \
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+ (__tgmath_real_type (Val2)) 0 \
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+ (__tgmath_real_type (Val3)) 0)) \
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Fct##f (Val1, Val2, Val3)))
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/* XXX This definition has to be changed as soon as the compiler understands
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the imaginary keyword. */
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# define __TGMATH_UNARY_REAL_IMAG(Val, Fct, Cfct) \
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(__extension__ ((sizeof (__real__ (Val)) == sizeof (double) \
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|| __builtin_classify_type (__real__ (Val)) != 8) \
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? ((sizeof (__real__ (Val)) == sizeof (Val)) \
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? (__tgmath_real_type (Val)) Fct (Val) \
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: (__tgmath_real_type (Val)) Cfct (Val)) \
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: (sizeof (__real__ (Val)) == sizeof (float)) \
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? ((sizeof (__real__ (Val)) == sizeof (Val)) \
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? (__tgmath_real_type (Val)) Fct##f (Val) \
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: (__tgmath_real_type (Val)) Cfct##f (Val)) \
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: ((sizeof (__real__ (Val)) == sizeof (Val)) \
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? (__tgmath_real_type (Val)) __tgml(Fct) (Val) \
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: (__tgmath_real_type (Val)) __tgml(Cfct) (Val))))
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# define __TGMATH_UNARY_IMAG(Val, Cfct) \
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(__extension__ ((sizeof (__real__ (Val)) == sizeof (double) \
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|| __builtin_classify_type (__real__ (Val)) != 8) \
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? (__typeof__ ((__tgmath_real_type (Val)) 0 \
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+ _Complex_I)) Cfct (Val) \
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: (sizeof (__real__ (Val)) == sizeof (float)) \
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? (__typeof__ ((__tgmath_real_type (Val)) 0 \
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+ _Complex_I)) Cfct##f (Val) \
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: (__typeof__ ((__tgmath_real_type (Val)) 0 \
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+ _Complex_I)) __tgml(Cfct) (Val)))
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/* XXX This definition has to be changed as soon as the compiler understands
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the imaginary keyword. */
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# define __TGMATH_UNARY_REAL_IMAG_RET_REAL(Val, Fct, Cfct) \
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(__extension__ ((sizeof (__real__ (Val)) == sizeof (double) \
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|| __builtin_classify_type (__real__ (Val)) != 8) \
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? ((sizeof (__real__ (Val)) == sizeof (Val)) \
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? (__typeof__ (__real__ (__tgmath_real_type (Val)) 0))\
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Fct (Val) \
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: (__typeof__ (__real__ (__tgmath_real_type (Val)) 0))\
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Cfct (Val)) \
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: (sizeof (__real__ (Val)) == sizeof (float)) \
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? ((sizeof (__real__ (Val)) == sizeof (Val)) \
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? (__typeof__ (__real__ (__tgmath_real_type (Val)) 0))\
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Fct##f (Val) \
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: (__typeof__ (__real__ (__tgmath_real_type (Val)) 0))\
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Cfct##f (Val)) \
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: ((sizeof (__real__ (Val)) == sizeof (Val)) \
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? (__typeof__ (__real__ (__tgmath_real_type (Val)) 0))\
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__tgml(Fct) (Val) \
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: (__typeof__ (__real__ (__tgmath_real_type (Val)) 0))\
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__tgml(Cfct) (Val))))
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/* XXX This definition has to be changed as soon as the compiler understands
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the imaginary keyword. */
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# define __TGMATH_BINARY_REAL_IMAG(Val1, Val2, Fct, Cfct) \
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(__extension__ (((sizeof (__real__ (Val1)) > sizeof (double) \
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|| sizeof (__real__ (Val2)) > sizeof (double)) \
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&& __builtin_classify_type (__real__ (Val1) \
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+ __real__ (Val2)) == 8) \
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? ((sizeof (__real__ (Val1)) == sizeof (Val1) \
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&& sizeof (__real__ (Val2)) == sizeof (Val2)) \
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? (__typeof ((__tgmath_real_type (Val1)) 0 \
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+ (__tgmath_real_type (Val2)) 0)) \
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__tgml(Fct) (Val1, Val2) \
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: (__typeof ((__tgmath_real_type (Val1)) 0 \
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+ (__tgmath_real_type (Val2)) 0)) \
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__tgml(Cfct) (Val1, Val2)) \
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: (sizeof (__real__ (Val1)) == sizeof (double) \
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|| sizeof (__real__ (Val2)) == sizeof (double) \
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|| __builtin_classify_type (__real__ (Val1)) != 8 \
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|| __builtin_classify_type (__real__ (Val2)) != 8) \
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? ((sizeof (__real__ (Val1)) == sizeof (Val1) \
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&& sizeof (__real__ (Val2)) == sizeof (Val2)) \
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? (__typeof ((__tgmath_real_type (Val1)) 0 \
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+ (__tgmath_real_type (Val2)) 0)) \
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Fct (Val1, Val2) \
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: (__typeof ((__tgmath_real_type (Val1)) 0 \
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+ (__tgmath_real_type (Val2)) 0)) \
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Cfct (Val1, Val2)) \
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: ((sizeof (__real__ (Val1)) == sizeof (Val1) \
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&& sizeof (__real__ (Val2)) == sizeof (Val2)) \
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? (__typeof ((__tgmath_real_type (Val1)) 0 \
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+ (__tgmath_real_type (Val2)) 0)) \
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Fct##f (Val1, Val2) \
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: (__typeof ((__tgmath_real_type (Val1)) 0 \
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+ (__tgmath_real_type (Val2)) 0)) \
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Cfct##f (Val1, Val2))))
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#else
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# error "Unsupported compiler; you cannot use <tgmath.h>"
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#endif
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/* Unary functions defined for real and complex values. */
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/* Trigonometric functions. */
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/* Arc cosine of X. */
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#define acos(Val) __TGMATH_UNARY_REAL_IMAG (Val, acos, cacos)
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/* Arc sine of X. */
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#define asin(Val) __TGMATH_UNARY_REAL_IMAG (Val, asin, casin)
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/* Arc tangent of X. */
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#define atan(Val) __TGMATH_UNARY_REAL_IMAG (Val, atan, catan)
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/* Arc tangent of Y/X. */
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#define atan2(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, atan2)
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/* Cosine of X. */
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#define cos(Val) __TGMATH_UNARY_REAL_IMAG (Val, cos, ccos)
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/* Sine of X. */
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#define sin(Val) __TGMATH_UNARY_REAL_IMAG (Val, sin, csin)
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/* Tangent of X. */
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#define tan(Val) __TGMATH_UNARY_REAL_IMAG (Val, tan, ctan)
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/* Hyperbolic functions. */
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/* Hyperbolic arc cosine of X. */
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#define acosh(Val) __TGMATH_UNARY_REAL_IMAG (Val, acosh, cacosh)
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/* Hyperbolic arc sine of X. */
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#define asinh(Val) __TGMATH_UNARY_REAL_IMAG (Val, asinh, casinh)
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/* Hyperbolic arc tangent of X. */
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#define atanh(Val) __TGMATH_UNARY_REAL_IMAG (Val, atanh, catanh)
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/* Hyperbolic cosine of X. */
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#define cosh(Val) __TGMATH_UNARY_REAL_IMAG (Val, cosh, ccosh)
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/* Hyperbolic sine of X. */
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#define sinh(Val) __TGMATH_UNARY_REAL_IMAG (Val, sinh, csinh)
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/* Hyperbolic tangent of X. */
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#define tanh(Val) __TGMATH_UNARY_REAL_IMAG (Val, tanh, ctanh)
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/* Exponential and logarithmic functions. */
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/* Exponential function of X. */
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#define exp(Val) __TGMATH_UNARY_REAL_IMAG (Val, exp, cexp)
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/* Break VALUE into a normalized fraction and an integral power of 2. */
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#define frexp(Val1, Val2) __TGMATH_BINARY_FIRST_REAL_ONLY (Val1, Val2, frexp)
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/* X times (two to the EXP power). */
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#define ldexp(Val1, Val2) __TGMATH_BINARY_FIRST_REAL_ONLY (Val1, Val2, ldexp)
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/* Natural logarithm of X. */
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#define log(Val) __TGMATH_UNARY_REAL_IMAG (Val, log, clog)
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/* Base-ten logarithm of X. */
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#ifdef __USE_GNU
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# define log10(Val) __TGMATH_UNARY_REAL_IMAG (Val, log10, __clog10)
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#else
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# define log10(Val) __TGMATH_UNARY_REAL_ONLY (Val, log10)
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#endif
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/* Return exp(X) - 1. */
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#define expm1(Val) __TGMATH_UNARY_REAL_ONLY (Val, expm1)
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/* Return log(1 + X). */
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#define log1p(Val) __TGMATH_UNARY_REAL_ONLY (Val, log1p)
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/* Return the base 2 signed integral exponent of X. */
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#define logb(Val) __TGMATH_UNARY_REAL_ONLY (Val, logb)
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/* Compute base-2 exponential of X. */
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#define exp2(Val) __TGMATH_UNARY_REAL_ONLY (Val, exp2)
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/* Compute base-2 logarithm of X. */
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#define log2(Val) __TGMATH_UNARY_REAL_ONLY (Val, log2)
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/* Power functions. */
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/* Return X to the Y power. */
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#define pow(Val1, Val2) __TGMATH_BINARY_REAL_IMAG (Val1, Val2, pow, cpow)
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/* Return the square root of X. */
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#define sqrt(Val) __TGMATH_UNARY_REAL_IMAG (Val, sqrt, csqrt)
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/* Return `sqrt(X*X + Y*Y)'. */
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#define hypot(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, hypot)
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/* Return the cube root of X. */
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#define cbrt(Val) __TGMATH_UNARY_REAL_ONLY (Val, cbrt)
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/* Nearest integer, absolute value, and remainder functions. */
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/* Smallest integral value not less than X. */
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#define ceil(Val) __TGMATH_UNARY_REAL_ONLY (Val, ceil)
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/* Absolute value of X. */
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#define fabs(Val) __TGMATH_UNARY_REAL_IMAG_RET_REAL (Val, fabs, cabs)
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/* Largest integer not greater than X. */
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#define floor(Val) __TGMATH_UNARY_REAL_ONLY (Val, floor)
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/* Floating-point modulo remainder of X/Y. */
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#define fmod(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, fmod)
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/* Round X to integral valuein floating-point format using current
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rounding direction, but do not raise inexact exception. */
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#define nearbyint(Val) __TGMATH_UNARY_REAL_ONLY (Val, nearbyint)
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/* Round X to nearest integral value, rounding halfway cases away from
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zero. */
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#define round(Val) __TGMATH_UNARY_REAL_ONLY (Val, round)
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/* Round X to the integral value in floating-point format nearest but
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not larger in magnitude. */
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#define trunc(Val) __TGMATH_UNARY_REAL_ONLY (Val, trunc)
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/* Compute remainder of X and Y and put in *QUO a value with sign of x/y
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and magnitude congruent `mod 2^n' to the magnitude of the integral
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quotient x/y, with n >= 3. */
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#define remquo(Val1, Val2, Val3) \
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__TGMATH_TERNARY_FIRST_SECOND_REAL_ONLY (Val1, Val2, Val3, remquo)
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/* Round X to nearest integral value according to current rounding
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direction. */
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#define lrint(Val) __TGMATH_UNARY_REAL_RET_ONLY (Val, long int, lrint)
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#define llrint(Val) __TGMATH_UNARY_REAL_RET_ONLY (Val, long long int, llrint)
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/* Round X to nearest integral value, rounding halfway cases away from
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zero. */
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#define lround(Val) __TGMATH_UNARY_REAL_RET_ONLY (Val, long int, lround)
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#define llround(Val) __TGMATH_UNARY_REAL_RET_ONLY (Val, long long int, llround)
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/* Return X with its signed changed to Y's. */
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#define copysign(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, copysign)
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/* Error and gamma functions. */
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#define erf(Val) __TGMATH_UNARY_REAL_ONLY (Val, erf)
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#define erfc(Val) __TGMATH_UNARY_REAL_ONLY (Val, erfc)
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#define tgamma(Val) __TGMATH_UNARY_REAL_ONLY (Val, tgamma)
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#define lgamma(Val) __TGMATH_UNARY_REAL_ONLY (Val, lgamma)
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/* Return the integer nearest X in the direction of the
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prevailing rounding mode. */
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#define rint(Val) __TGMATH_UNARY_REAL_ONLY (Val, rint)
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/* Return X + epsilon if X < Y, X - epsilon if X > Y. */
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#define nextafter(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, nextafter)
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#define nexttoward(Val1, Val2) \
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__TGMATH_BINARY_FIRST_REAL_ONLY (Val1, Val2, nexttoward)
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/* Return the remainder of integer divison X / Y with infinite precision. */
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#define remainder(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, remainder)
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/* Return X times (2 to the Nth power). */
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#if defined __USE_MISC || defined __USE_XOPEN_EXTENDED
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# define scalb(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, scalb)
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#endif
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/* Return X times (2 to the Nth power). */
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#define scalbn(Val1, Val2) __TGMATH_BINARY_FIRST_REAL_ONLY (Val1, Val2, scalbn)
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/* Return X times (2 to the Nth power). */
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#define scalbln(Val1, Val2) \
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__TGMATH_BINARY_FIRST_REAL_ONLY (Val1, Val2, scalbln)
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/* Return the binary exponent of X, which must be nonzero. */
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#define ilogb(Val) __TGMATH_UNARY_REAL_RET_ONLY (Val, int, ilogb)
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/* Return positive difference between X and Y. */
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#define fdim(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, fdim)
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/* Return maximum numeric value from X and Y. */
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#define fmax(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, fmax)
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/* Return minimum numeric value from X and Y. */
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#define fmin(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, fmin)
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/* Multiply-add function computed as a ternary operation. */
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#define fma(Val1, Val2, Val3) \
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__TGMATH_TERNARY_REAL_ONLY (Val1, Val2, Val3, fma)
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/* Absolute value, conjugates, and projection. */
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/* Argument value of Z. */
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#define carg(Val) __TGMATH_UNARY_REAL_IMAG_RET_REAL (Val, carg, carg)
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/* Complex conjugate of Z. */
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#define conj(Val) __TGMATH_UNARY_IMAG (Val, conj)
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/* Projection of Z onto the Riemann sphere. */
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#define cproj(Val) __TGMATH_UNARY_IMAG (Val, cproj)
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/* Decomposing complex values. */
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/* Imaginary part of Z. */
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#define cimag(Val) __TGMATH_UNARY_REAL_IMAG_RET_REAL (Val, cimag, cimag)
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/* Real part of Z. */
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#define creal(Val) __TGMATH_UNARY_REAL_IMAG_RET_REAL (Val, creal, creal)
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#endif /* tgmath.h */
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