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			366 lines
		
	
	
		
			11 KiB
		
	
	
	
		
			C
		
	
	
	
	
	
			
		
		
	
	
			366 lines
		
	
	
		
			11 KiB
		
	
	
	
		
			C
		
	
	
	
	
	
| /* Prototype declarations for math functions; helper file for <math.h>.
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|    Copyright (C) 1996-2003, 2006, 2011, 2012 Free Software Foundation, Inc.
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|    This file is part of the GNU C Library.
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| 
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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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| 
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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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| 
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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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| /* NOTE: Because of the special way this file is used by <math.h>, this
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|    file must NOT be protected from multiple inclusion as header files
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|    usually are.
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| 
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|    This file provides prototype declarations for the math functions.
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|    Most functions are declared using the macro:
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| 
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|    __MATHCALL (NAME,[_r], (ARGS...));
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| 
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|    This means there is a function `NAME' returning `double' and a function
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|    `NAMEf' returning `float'.  Each place `_Mdouble_' appears in the
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|    prototype, that is actually `double' in the prototype for `NAME' and
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|    `float' in the prototype for `NAMEf'.  Reentrant variant functions are
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|    called `NAME_r' and `NAMEf_r'.
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| 
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|    Functions returning other types like `int' are declared using the macro:
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| 
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|    __MATHDECL (TYPE, NAME,[_r], (ARGS...));
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| 
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|    This is just like __MATHCALL but for a function returning `TYPE'
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|    instead of `_Mdouble_'.  In all of these cases, there is still
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|    both a `NAME' and a `NAMEf' that takes `float' arguments.
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| 
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|    Note that there must be no whitespace before the argument passed for
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|    NAME, to make token pasting work with -traditional.  */
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| 
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| #ifndef _MATH_H
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| # error "Never include <bits/mathcalls.h> directly; include <math.h> instead."
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| #endif
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| 
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| 
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| /* Trigonometric functions.  */
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| 
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| _Mdouble_BEGIN_NAMESPACE
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| /* Arc cosine of X.  */
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| __MATHCALL (acos,, (_Mdouble_ __x));
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| /* Arc sine of X.  */
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| __MATHCALL (asin,, (_Mdouble_ __x));
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| /* Arc tangent of X.  */
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| __MATHCALL (atan,, (_Mdouble_ __x));
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| /* Arc tangent of Y/X.  */
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| __MATHCALL (atan2,, (_Mdouble_ __y, _Mdouble_ __x));
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| 
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| /* Cosine of X.  */
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| __MATHCALL (cos,, (_Mdouble_ __x));
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| /* Sine of X.  */
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| __MATHCALL (sin,, (_Mdouble_ __x));
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| /* Tangent of X.  */
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| __MATHCALL (tan,, (_Mdouble_ __x));
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| 
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| /* Hyperbolic functions.  */
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| 
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| /* Hyperbolic cosine of X.  */
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| __MATHCALL (cosh,, (_Mdouble_ __x));
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| /* Hyperbolic sine of X.  */
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| __MATHCALL (sinh,, (_Mdouble_ __x));
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| /* Hyperbolic tangent of X.  */
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| __MATHCALL (tanh,, (_Mdouble_ __x));
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| _Mdouble_END_NAMESPACE
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| 
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| #ifdef __USE_GNU
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| /* Cosine and sine of X.  */
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| __MATHDECL (void,sincos,,
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| 	    (_Mdouble_ __x, _Mdouble_ *__sinx, _Mdouble_ *__cosx));
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| #endif
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| 
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| #if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
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| __BEGIN_NAMESPACE_C99
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| /* Hyperbolic arc cosine of X.  */
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| __MATHCALL (acosh,, (_Mdouble_ __x));
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| /* Hyperbolic arc sine of X.  */
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| __MATHCALL (asinh,, (_Mdouble_ __x));
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| /* Hyperbolic arc tangent of X.  */
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| __MATHCALL (atanh,, (_Mdouble_ __x));
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| __END_NAMESPACE_C99
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| #endif
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| 
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| /* Exponential and logarithmic functions.  */
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| 
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| _Mdouble_BEGIN_NAMESPACE
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| /* Exponential function of X.  */
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| __MATHCALL (exp,, (_Mdouble_ __x));
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| 
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| /* Break VALUE into a normalized fraction and an integral power of 2.  */
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| __MATHCALL (frexp,, (_Mdouble_ __x, int *__exponent));
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| 
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| /* X times (two to the EXP power).  */
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| __MATHCALL (ldexp,, (_Mdouble_ __x, int __exponent));
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| 
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| /* Natural logarithm of X.  */
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| __MATHCALL (log,, (_Mdouble_ __x));
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| 
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| /* Base-ten logarithm of X.  */
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| __MATHCALL (log10,, (_Mdouble_ __x));
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| 
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| /* Break VALUE into integral and fractional parts.  */
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| __MATHCALL (modf,, (_Mdouble_ __x, _Mdouble_ *__iptr))
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|      __attribute__ ((__nonnull__ (2)));
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| _Mdouble_END_NAMESPACE
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| 
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| #ifdef __USE_GNU
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| /* A function missing in all standards: compute exponent to base ten.  */
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| __MATHCALL (exp10,, (_Mdouble_ __x));
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| /* Another name occasionally used.  */
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| __MATHCALL (pow10,, (_Mdouble_ __x));
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| #endif
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| 
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| #if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
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| __BEGIN_NAMESPACE_C99
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| /* Return exp(X) - 1.  */
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| __MATHCALL (expm1,, (_Mdouble_ __x));
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| 
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| /* Return log(1 + X).  */
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| __MATHCALL (log1p,, (_Mdouble_ __x));
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| 
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| /* Return the base 2 signed integral exponent of X.  */
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| __MATHCALL (logb,, (_Mdouble_ __x));
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| __END_NAMESPACE_C99
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| #endif
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| 
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| #ifdef __USE_ISOC99
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| __BEGIN_NAMESPACE_C99
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| /* Compute base-2 exponential of X.  */
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| __MATHCALL (exp2,, (_Mdouble_ __x));
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| 
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| /* Compute base-2 logarithm of X.  */
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| __MATHCALL (log2,, (_Mdouble_ __x));
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| __END_NAMESPACE_C99
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| #endif
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| 
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| 
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| /* Power functions.  */
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| 
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| _Mdouble_BEGIN_NAMESPACE
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| /* Return X to the Y power.  */
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| __MATHCALL (pow,, (_Mdouble_ __x, _Mdouble_ __y));
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| 
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| /* Return the square root of X.  */
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| __MATHCALL (sqrt,, (_Mdouble_ __x));
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| _Mdouble_END_NAMESPACE
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| 
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| #if defined __USE_MISC || defined __USE_XOPEN || defined __USE_ISOC99
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| __BEGIN_NAMESPACE_C99
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| /* Return `sqrt(X*X + Y*Y)'.  */
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| __MATHCALL (hypot,, (_Mdouble_ __x, _Mdouble_ __y));
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| __END_NAMESPACE_C99
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| #endif
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| 
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| #if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
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| __BEGIN_NAMESPACE_C99
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| /* Return the cube root of X.  */
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| __MATHCALL (cbrt,, (_Mdouble_ __x));
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| __END_NAMESPACE_C99
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| #endif
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| 
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| 
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| /* Nearest integer, absolute value, and remainder functions.  */
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| 
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| _Mdouble_BEGIN_NAMESPACE
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| /* Smallest integral value not less than X.  */
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| __MATHCALLX (ceil,, (_Mdouble_ __x), (__const__));
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| 
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| /* Absolute value of X.  */
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| __MATHCALLX (fabs,, (_Mdouble_ __x), (__const__));
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| 
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| /* Largest integer not greater than X.  */
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| __MATHCALLX (floor,, (_Mdouble_ __x), (__const__));
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| 
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| /* Floating-point modulo remainder of X/Y.  */
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| __MATHCALL (fmod,, (_Mdouble_ __x, _Mdouble_ __y));
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| 
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| 
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| /* Return 0 if VALUE is finite or NaN, +1 if it
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|    is +Infinity, -1 if it is -Infinity.  */
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| __MATHDECL_1 (int,__isinf,, (_Mdouble_ __value)) __attribute__ ((__const__));
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| 
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| /* Return nonzero if VALUE is finite and not NaN.  */
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| __MATHDECL_1 (int,__finite,, (_Mdouble_ __value)) __attribute__ ((__const__));
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| _Mdouble_END_NAMESPACE
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| 
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| #ifdef __USE_MISC
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| /* Return 0 if VALUE is finite or NaN, +1 if it
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|    is +Infinity, -1 if it is -Infinity.  */
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| __MATHDECL_1 (int,isinf,, (_Mdouble_ __value)) __attribute__ ((__const__));
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| 
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| /* Return nonzero if VALUE is finite and not NaN.  */
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| __MATHDECL_1 (int,finite,, (_Mdouble_ __value)) __attribute__ ((__const__));
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| 
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| /* Return the remainder of X/Y.  */
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| __MATHCALL (drem,, (_Mdouble_ __x, _Mdouble_ __y));
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| 
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| 
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| /* Return the fractional part of X after dividing out `ilogb (X)'.  */
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| __MATHCALL (significand,, (_Mdouble_ __x));
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| #endif /* Use misc.  */
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| 
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| #if defined __USE_MISC || defined __USE_ISOC99
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| __BEGIN_NAMESPACE_C99
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| /* Return X with its signed changed to Y's.  */
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| __MATHCALLX (copysign,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));
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| __END_NAMESPACE_C99
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| #endif
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| 
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| #ifdef __USE_ISOC99
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| __BEGIN_NAMESPACE_C99
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| /* Return representation of NaN for double type.  */
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| __MATHCALLX (nan,, (const char *__tagb), (__const__));
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| __END_NAMESPACE_C99
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| #endif
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| 
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| 
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| /* Return nonzero if VALUE is not a number.  */
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| __MATHDECL_1 (int,__isnan,, (_Mdouble_ __value)) __attribute__ ((__const__));
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| 
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| #if defined __USE_MISC || defined __USE_XOPEN
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| /* Return nonzero if VALUE is not a number.  */
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| __MATHDECL_1 (int,isnan,, (_Mdouble_ __value)) __attribute__ ((__const__));
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| 
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| /* Bessel functions.  */
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| __MATHCALL (j0,, (_Mdouble_));
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| __MATHCALL (j1,, (_Mdouble_));
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| __MATHCALL (jn,, (int, _Mdouble_));
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| __MATHCALL (y0,, (_Mdouble_));
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| __MATHCALL (y1,, (_Mdouble_));
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| __MATHCALL (yn,, (int, _Mdouble_));
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| #endif
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| 
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| 
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| #if defined __USE_MISC || defined __USE_XOPEN || defined __USE_ISOC99
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| __BEGIN_NAMESPACE_C99
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| /* Error and gamma functions.  */
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| __MATHCALL (erf,, (_Mdouble_));
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| __MATHCALL (erfc,, (_Mdouble_));
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| __MATHCALL (lgamma,, (_Mdouble_));
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| __END_NAMESPACE_C99
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| #endif
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| 
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| #ifdef __USE_ISOC99
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| __BEGIN_NAMESPACE_C99
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| /* True gamma function.  */
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| __MATHCALL (tgamma,, (_Mdouble_));
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| __END_NAMESPACE_C99
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| #endif
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| 
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| #if defined __USE_MISC || defined __USE_XOPEN
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| /* Obsolete alias for `lgamma'.  */
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| __MATHCALL (gamma,, (_Mdouble_));
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| #endif
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| 
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| #ifdef __USE_MISC
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| /* Reentrant version of lgamma.  This function uses the global variable
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|    `signgam'.  The reentrant version instead takes a pointer and stores
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|    the value through it.  */
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| __MATHCALL (lgamma,_r, (_Mdouble_, int *__signgamp));
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| #endif
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| 
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| 
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| #if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
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| __BEGIN_NAMESPACE_C99
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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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| __MATHCALL (rint,, (_Mdouble_ __x));
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| 
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| /* Return X + epsilon if X < Y, X - epsilon if X > Y.  */
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| __MATHCALLX (nextafter,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));
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| # if defined __USE_ISOC99 && !defined __LDBL_COMPAT
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| __MATHCALLX (nexttoward,, (_Mdouble_ __x, long double __y), (__const__));
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| # endif
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| 
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| /* Return the remainder of integer divison X / Y with infinite precision.  */
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| __MATHCALL (remainder,, (_Mdouble_ __x, _Mdouble_ __y));
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| 
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| # if defined __USE_MISC || defined __USE_ISOC99
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| /* Return X times (2 to the Nth power).  */
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| __MATHCALL (scalbn,, (_Mdouble_ __x, int __n));
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| # endif
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| 
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| /* Return the binary exponent of X, which must be nonzero.  */
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| __MATHDECL (int,ilogb,, (_Mdouble_ __x));
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| #endif
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| 
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| #ifdef __USE_ISOC99
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| /* Return X times (2 to the Nth power).  */
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| __MATHCALL (scalbln,, (_Mdouble_ __x, long int __n));
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| 
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| /* Round X to integral value in floating-point format using current
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|    rounding direction, but do not raise inexact exception.  */
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| __MATHCALL (nearbyint,, (_Mdouble_ __x));
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| 
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| /* Round X to nearest integral value, rounding halfway cases away from
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|    zero.  */
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| __MATHCALLX (round,, (_Mdouble_ __x), (__const__));
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| 
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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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| __MATHCALLX (trunc,, (_Mdouble_ __x), (__const__));
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| 
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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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| __MATHCALL (remquo,, (_Mdouble_ __x, _Mdouble_ __y, int *__quo));
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| 
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| 
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| /* Conversion functions.  */
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| 
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| /* Round X to nearest integral value according to current rounding
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|    direction.  */
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| __MATHDECL (long int,lrint,, (_Mdouble_ __x));
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| __MATHDECL (long long int,llrint,, (_Mdouble_ __x));
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| 
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| /* Round X to nearest integral value, rounding halfway cases away from
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|    zero.  */
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| __MATHDECL (long int,lround,, (_Mdouble_ __x));
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| __MATHDECL (long long int,llround,, (_Mdouble_ __x));
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| 
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| 
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| /* Return positive difference between X and Y.  */
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| __MATHCALL (fdim,, (_Mdouble_ __x, _Mdouble_ __y));
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| 
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| /* Return maximum numeric value from X and Y.  */
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| __MATHCALLX (fmax,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));
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| 
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| /* Return minimum numeric value from X and Y.  */
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| __MATHCALLX (fmin,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));
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| 
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| 
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| /* Classify given number.  */
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| __MATHDECL_1 (int, __fpclassify,, (_Mdouble_ __value))
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|      __attribute__ ((__const__));
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| 
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| /* Test for negative number.  */
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| __MATHDECL_1 (int, __signbit,, (_Mdouble_ __value))
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|      __attribute__ ((__const__));
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| 
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| 
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| /* Multiply-add function computed as a ternary operation.  */
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| __MATHCALL (fma,, (_Mdouble_ __x, _Mdouble_ __y, _Mdouble_ __z));
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| #endif /* Use ISO C99.  */
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| 
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| #if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
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| __END_NAMESPACE_C99
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| #endif
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| 
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| #if defined __USE_MISC || defined __USE_XOPEN_EXTENDED
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| /* Return X times (2 to the Nth power).  */
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| __MATHCALL (scalb,, (_Mdouble_ __x, _Mdouble_ __n));
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| #endif
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