/* Prototype declarations for math functions; helper file for <math.h>.

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Copyright (C) 1996-2018 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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/* 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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This file provides prototype declarations for the math functions.

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Most functions are declared using the macro:

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__MATHCALL (NAME,[_r], (ARGS...));

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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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Functions returning other types like `int' are declared using the macro:

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__MATHDECL (TYPE, NAME,[_r], (ARGS...));

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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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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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#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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/* Trigonometric functions. */

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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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/* Cosine of X. */

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__MATHCALL_VEC (cos,, (_Mdouble_ __x));

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/* Sine of X. */

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__MATHCALL_VEC (sin,, (_Mdouble_ __x));

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/* Tangent of X. */

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__MATHCALL (tan,, (_Mdouble_ __x));

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/* Hyperbolic functions. */

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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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#ifdef __USE_GNU

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/* Cosine and sine of X. */

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__MATHDECL_VEC (void,sincos,,

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(_Mdouble_ __x, _Mdouble_ *__sinx, _Mdouble_ *__cosx));

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#endif

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#if defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99

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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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#endif

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/* Exponential and logarithmic functions. */

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/* Exponential function of X. */

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__MATHCALL_VEC (exp,, (_Mdouble_ __x));

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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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/* X times (two to the EXP power). */

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__MATHCALL (ldexp,, (_Mdouble_ __x, int __exponent));

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/* Natural logarithm of X. */

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__MATHCALL_VEC (log,, (_Mdouble_ __x));

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/* Base-ten logarithm of X. */

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__MATHCALL (log10,, (_Mdouble_ __x));

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/* Break VALUE into integral and fractional parts. */

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__MATHCALL (modf,, (_Mdouble_ __x, _Mdouble_ *__iptr)) __nonnull ((2));

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#if __GLIBC_USE (IEC_60559_FUNCS_EXT)

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/* Compute exponent to base ten. */

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__MATHCALL (exp10,, (_Mdouble_ __x));

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#endif

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#if defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99

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/* Return exp(X) - 1. */

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__MATHCALL (expm1,, (_Mdouble_ __x));

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/* Return log(1 + X). */

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__MATHCALL (log1p,, (_Mdouble_ __x));

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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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#endif

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#ifdef __USE_ISOC99

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/* Compute base-2 exponential of X. */

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__MATHCALL (exp2,, (_Mdouble_ __x));

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/* Compute base-2 logarithm of X. */

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__MATHCALL (log2,, (_Mdouble_ __x));

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#endif

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/* Power functions. */

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/* Return X to the Y power. */

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__MATHCALL_VEC (pow,, (_Mdouble_ __x, _Mdouble_ __y));

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/* Return the square root of X. */

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__MATHCALL (sqrt,, (_Mdouble_ __x));

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#if defined __USE_XOPEN || defined __USE_ISOC99

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/* Return `sqrt(X*X + Y*Y)'. */

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__MATHCALL (hypot,, (_Mdouble_ __x, _Mdouble_ __y));

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#endif

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#if defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99

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/* Return the cube root of X. */

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__MATHCALL (cbrt,, (_Mdouble_ __x));

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#endif

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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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__MATHCALLX (ceil,, (_Mdouble_ __x), (__const__));

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/* Absolute value of X. */

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__MATHCALLX (fabs,, (_Mdouble_ __x), (__const__));

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/* Largest integer not greater than X. */

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__MATHCALLX (floor,, (_Mdouble_ __x), (__const__));

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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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#ifdef __USE_MISC

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# if ((!defined __cplusplus \

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|| __cplusplus < 201103L /* isinf conflicts with C++11. */ \

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|| __MATH_DECLARING_DOUBLE == 0)) /* isinff or isinfl don't. */ \

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&& !__MATH_DECLARING_FLOATN

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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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# endif

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# if !__MATH_DECLARING_FLOATN

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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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/* Return the remainder of X/Y. */

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__MATHCALL (drem,, (_Mdouble_ __x, _Mdouble_ __y));

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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

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#endif /* Use misc. */

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#ifdef __USE_ISOC99

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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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#endif

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#ifdef __USE_ISOC99

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/* Return representation of qNaN for double type. */

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__MATHCALL (nan,, (const char *__tagb));

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#endif

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#if defined __USE_MISC || (defined __USE_XOPEN && !defined __USE_XOPEN2K)

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# if ((!defined __cplusplus \

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|| __cplusplus < 201103L /* isnan conflicts with C++11. */ \

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|| __MATH_DECLARING_DOUBLE == 0)) /* isnanf or isnanl don't. */ \

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&& !__MATH_DECLARING_FLOATN

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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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# endif

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#endif

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#if defined __USE_MISC || (defined __USE_XOPEN && __MATH_DECLARING_DOUBLE)

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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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#if defined __USE_XOPEN || defined __USE_ISOC99

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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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#endif

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#ifdef __USE_ISOC99

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/* True gamma function. */

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__MATHCALL (tgamma,, (_Mdouble_));

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#endif

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#if defined __USE_MISC || (defined __USE_XOPEN && !defined __USE_XOPEN2K)

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# if !__MATH_DECLARING_FLOATN

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/* Obsolete alias for `lgamma'. */

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__MATHCALL (gamma,, (_Mdouble_));

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# endif

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#endif

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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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#if defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99

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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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/* Return X + epsilon if X < Y, X - epsilon if X > Y. */

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__MATHCALL (nextafter,, (_Mdouble_ __x, _Mdouble_ __y));

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# if defined __USE_ISOC99 && !defined __LDBL_COMPAT && !__MATH_DECLARING_FLOATN

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__MATHCALL (nexttoward,, (_Mdouble_ __x, long double __y));

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# endif

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# if __GLIBC_USE (IEC_60559_BFP_EXT) || __MATH_DECLARING_FLOATN

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/* Return X - epsilon. */

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__MATHCALL (nextdown,, (_Mdouble_ __x));

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/* Return X + epsilon. */

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__MATHCALL (nextup,, (_Mdouble_ __x));

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# endif

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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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# ifdef __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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/* 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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#if __GLIBC_USE (IEC_60559_BFP_EXT) || __MATH_DECLARING_FLOATN

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/* Like ilogb, but returning long int. */

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__MATHDECL (long int, llogb,, (_Mdouble_ __x));

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#endif

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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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/* 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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/* 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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/* 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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/* 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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/* Conversion functions. */

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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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__extension__

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__MATHDECL (long long int,llrint,, (_Mdouble_ __x));

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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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__extension__

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__MATHDECL (long long int,llround,, (_Mdouble_ __x));

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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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/* Return maximum numeric value from X and Y. */

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__MATHCALLX (fmax,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));

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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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/* 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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#if __GLIBC_USE (IEC_60559_BFP_EXT) || __MATH_DECLARING_FLOATN

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/* Round X to nearest integer value, rounding halfway cases to even. */

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__MATHCALLX (roundeven,, (_Mdouble_ __x), (__const__));

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/* Round X to nearest signed integer value, not raising inexact, with

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control of rounding direction and width of result. */

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__MATHDECL (__intmax_t, fromfp,, (_Mdouble_ __x, int __round,

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unsigned int __width));

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/* Round X to nearest unsigned integer value, not raising inexact,

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with control of rounding direction and width of result. */

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__MATHDECL (__uintmax_t, ufromfp,, (_Mdouble_ __x, int __round,

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unsigned int __width));

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/* Round X to nearest signed integer value, raising inexact for

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non-integers, with control of rounding direction and width of

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result. */

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__MATHDECL (__intmax_t, fromfpx,, (_Mdouble_ __x, int __round,

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unsigned int __width));

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/* Round X to nearest unsigned integer value, raising inexact for

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non-integers, with control of rounding direction and width of

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result. */

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__MATHDECL (__uintmax_t, ufromfpx,, (_Mdouble_ __x, int __round,

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unsigned int __width));

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/* Return value with maximum magnitude. */

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__MATHCALLX (fmaxmag,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));

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/* Return value with minimum magnitude. */

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__MATHCALLX (fminmag,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));

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/* Total order operation. */

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__MATHDECL_1 (int, totalorder,, (_Mdouble_ __x, _Mdouble_ __y))

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__attribute__ ((__const__));

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/* Total order operation on absolute values. */

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__MATHDECL_1 (int, totalordermag,, (_Mdouble_ __x, _Mdouble_ __y))

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__attribute__ ((__const__));

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/* Canonicalize floating-point representation. */

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__MATHDECL_1 (int, canonicalize,, (_Mdouble_ *__cx, const _Mdouble_ *__x));

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/* Get NaN payload. */

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__MATHCALL (getpayload,, (const _Mdouble_ *__x));

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/* Set quiet NaN payload. */

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__MATHDECL_1 (int, setpayload,, (_Mdouble_ *__x, _Mdouble_ __payload));

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/* Set signaling NaN payload. */

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__MATHDECL_1 (int, setpayloadsig,, (_Mdouble_ *__x, _Mdouble_ __payload));

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#endif

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#if (defined __USE_MISC || (defined __USE_XOPEN_EXTENDED \

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&& __MATH_DECLARING_DOUBLE \

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&& !defined __USE_XOPEN2K8)) \

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&& !__MATH_DECLARING_FLOATN

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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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