--- /dev/null
+/* Prototype declarations for math functions; helper file for <math.h>.
+ Copyright (C) 1996-2018 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Lesser General Public
+ License as published by the Free Software Foundation; either
+ version 2.1 of the License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public
+ License along with the GNU C Library; if not, see
+ <http://www.gnu.org/licenses/>. */
+
+/* NOTE: Because of the special way this file is used by <math.h>, this
+ file must NOT be protected from multiple inclusion as header files
+ usually are.
+
+ This file provides prototype declarations for the math functions.
+ Most functions are declared using the macro:
+
+ __MATHCALL (NAME,[_r], (ARGS...));
+
+ This means there is a function `NAME' returning `double' and a function
+ `NAMEf' returning `float'. Each place `_Mdouble_' appears in the
+ prototype, that is actually `double' in the prototype for `NAME' and
+ `float' in the prototype for `NAMEf'. Reentrant variant functions are
+ called `NAME_r' and `NAMEf_r'.
+
+ Functions returning other types like `int' are declared using the macro:
+
+ __MATHDECL (TYPE, NAME,[_r], (ARGS...));
+
+ This is just like __MATHCALL but for a function returning `TYPE'
+ instead of `_Mdouble_'. In all of these cases, there is still
+ both a `NAME' and a `NAMEf' that takes `float' arguments.
+
+ Note that there must be no whitespace before the argument passed for
+ NAME, to make token pasting work with -traditional. */
+
+#ifndef _MATH_H
+# error "Never include <bits/mathcalls.h> directly; include <math.h> instead."
+#endif
+
+
+/* Trigonometric functions. */
+
+/* Arc cosine of X. */
+__MATHCALL (acos,, (_Mdouble_ __x));
+/* Arc sine of X. */
+__MATHCALL (asin,, (_Mdouble_ __x));
+/* Arc tangent of X. */
+__MATHCALL (atan,, (_Mdouble_ __x));
+/* Arc tangent of Y/X. */
+__MATHCALL (atan2,, (_Mdouble_ __y, _Mdouble_ __x));
+
+/* Cosine of X. */
+__MATHCALL_VEC (cos,, (_Mdouble_ __x));
+/* Sine of X. */
+__MATHCALL_VEC (sin,, (_Mdouble_ __x));
+/* Tangent of X. */
+__MATHCALL (tan,, (_Mdouble_ __x));
+
+/* Hyperbolic functions. */
+
+/* Hyperbolic cosine of X. */
+__MATHCALL (cosh,, (_Mdouble_ __x));
+/* Hyperbolic sine of X. */
+__MATHCALL (sinh,, (_Mdouble_ __x));
+/* Hyperbolic tangent of X. */
+__MATHCALL (tanh,, (_Mdouble_ __x));
+
+#ifdef __USE_GNU
+/* Cosine and sine of X. */
+__MATHDECL_VEC (void,sincos,,
+ (_Mdouble_ __x, _Mdouble_ *__sinx, _Mdouble_ *__cosx));
+#endif
+
+#if defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
+/* Hyperbolic arc cosine of X. */
+__MATHCALL (acosh,, (_Mdouble_ __x));
+/* Hyperbolic arc sine of X. */
+__MATHCALL (asinh,, (_Mdouble_ __x));
+/* Hyperbolic arc tangent of X. */
+__MATHCALL (atanh,, (_Mdouble_ __x));
+#endif
+
+/* Exponential and logarithmic functions. */
+
+/* Exponential function of X. */
+__MATHCALL_VEC (exp,, (_Mdouble_ __x));
+
+/* Break VALUE into a normalized fraction and an integral power of 2. */
+__MATHCALL (frexp,, (_Mdouble_ __x, int *__exponent));
+
+/* X times (two to the EXP power). */
+__MATHCALL (ldexp,, (_Mdouble_ __x, int __exponent));
+
+/* Natural logarithm of X. */
+__MATHCALL_VEC (log,, (_Mdouble_ __x));
+
+/* Base-ten logarithm of X. */
+__MATHCALL (log10,, (_Mdouble_ __x));
+
+/* Break VALUE into integral and fractional parts. */
+__MATHCALL (modf,, (_Mdouble_ __x, _Mdouble_ *__iptr)) __nonnull ((2));
+
+#if __GLIBC_USE (IEC_60559_FUNCS_EXT)
+/* Compute exponent to base ten. */
+__MATHCALL (exp10,, (_Mdouble_ __x));
+#endif
+
+#if defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
+/* Return exp(X) - 1. */
+__MATHCALL (expm1,, (_Mdouble_ __x));
+
+/* Return log(1 + X). */
+__MATHCALL (log1p,, (_Mdouble_ __x));
+
+/* Return the base 2 signed integral exponent of X. */
+__MATHCALL (logb,, (_Mdouble_ __x));
+#endif
+
+#ifdef __USE_ISOC99
+/* Compute base-2 exponential of X. */
+__MATHCALL (exp2,, (_Mdouble_ __x));
+
+/* Compute base-2 logarithm of X. */
+__MATHCALL (log2,, (_Mdouble_ __x));
+#endif
+
+
+/* Power functions. */
+
+/* Return X to the Y power. */
+__MATHCALL_VEC (pow,, (_Mdouble_ __x, _Mdouble_ __y));
+
+/* Return the square root of X. */
+__MATHCALL (sqrt,, (_Mdouble_ __x));
+
+#if defined __USE_XOPEN || defined __USE_ISOC99
+/* Return `sqrt(X*X + Y*Y)'. */
+__MATHCALL (hypot,, (_Mdouble_ __x, _Mdouble_ __y));
+#endif
+
+#if defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
+/* Return the cube root of X. */
+__MATHCALL (cbrt,, (_Mdouble_ __x));
+#endif
+
+
+/* Nearest integer, absolute value, and remainder functions. */
+
+/* Smallest integral value not less than X. */
+__MATHCALLX (ceil,, (_Mdouble_ __x), (__const__));
+
+/* Absolute value of X. */
+__MATHCALLX (fabs,, (_Mdouble_ __x), (__const__));
+
+/* Largest integer not greater than X. */
+__MATHCALLX (floor,, (_Mdouble_ __x), (__const__));
+
+/* Floating-point modulo remainder of X/Y. */
+__MATHCALL (fmod,, (_Mdouble_ __x, _Mdouble_ __y));
+
+#ifdef __USE_MISC
+# if ((!defined __cplusplus \
+ || __cplusplus < 201103L /* isinf conflicts with C++11. */ \
+ || __MATH_DECLARING_DOUBLE == 0)) /* isinff or isinfl don't. */ \
+ && !__MATH_DECLARING_FLOATN
+/* Return 0 if VALUE is finite or NaN, +1 if it
+ is +Infinity, -1 if it is -Infinity. */
+__MATHDECL_1 (int,isinf,, (_Mdouble_ __value)) __attribute__ ((__const__));
+# endif
+
+# if !__MATH_DECLARING_FLOATN
+/* Return nonzero if VALUE is finite and not NaN. */
+__MATHDECL_1 (int,finite,, (_Mdouble_ __value)) __attribute__ ((__const__));
+
+/* Return the remainder of X/Y. */
+__MATHCALL (drem,, (_Mdouble_ __x, _Mdouble_ __y));
+
+
+/* Return the fractional part of X after dividing out `ilogb (X)'. */
+__MATHCALL (significand,, (_Mdouble_ __x));
+# endif
+
+#endif /* Use misc. */
+
+#ifdef __USE_ISOC99
+/* Return X with its signed changed to Y's. */
+__MATHCALLX (copysign,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));
+#endif
+
+#ifdef __USE_ISOC99
+/* Return representation of qNaN for double type. */
+__MATHCALL (nan,, (const char *__tagb));
+#endif
+
+
+#if defined __USE_MISC || (defined __USE_XOPEN && !defined __USE_XOPEN2K)
+# if ((!defined __cplusplus \
+ || __cplusplus < 201103L /* isnan conflicts with C++11. */ \
+ || __MATH_DECLARING_DOUBLE == 0)) /* isnanf or isnanl don't. */ \
+ && !__MATH_DECLARING_FLOATN
+/* Return nonzero if VALUE is not a number. */
+__MATHDECL_1 (int,isnan,, (_Mdouble_ __value)) __attribute__ ((__const__));
+# endif
+#endif
+
+#if defined __USE_MISC || (defined __USE_XOPEN && __MATH_DECLARING_DOUBLE)
+/* Bessel functions. */
+__MATHCALL (j0,, (_Mdouble_));
+__MATHCALL (j1,, (_Mdouble_));
+__MATHCALL (jn,, (int, _Mdouble_));
+__MATHCALL (y0,, (_Mdouble_));
+__MATHCALL (y1,, (_Mdouble_));
+__MATHCALL (yn,, (int, _Mdouble_));
+#endif
+
+
+#if defined __USE_XOPEN || defined __USE_ISOC99
+/* Error and gamma functions. */
+__MATHCALL (erf,, (_Mdouble_));
+__MATHCALL (erfc,, (_Mdouble_));
+__MATHCALL (lgamma,, (_Mdouble_));
+#endif
+
+#ifdef __USE_ISOC99
+/* True gamma function. */
+__MATHCALL (tgamma,, (_Mdouble_));
+#endif
+
+#if defined __USE_MISC || (defined __USE_XOPEN && !defined __USE_XOPEN2K)
+# if !__MATH_DECLARING_FLOATN
+/* Obsolete alias for `lgamma'. */
+__MATHCALL (gamma,, (_Mdouble_));
+# endif
+#endif
+
+#ifdef __USE_MISC
+/* Reentrant version of lgamma. This function uses the global variable
+ `signgam'. The reentrant version instead takes a pointer and stores
+ the value through it. */
+__MATHCALL (lgamma,_r, (_Mdouble_, int *__signgamp));
+#endif
+
+
+#if defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
+/* Return the integer nearest X in the direction of the
+ prevailing rounding mode. */
+__MATHCALL (rint,, (_Mdouble_ __x));
+
+/* Return X + epsilon if X < Y, X - epsilon if X > Y. */
+__MATHCALL (nextafter,, (_Mdouble_ __x, _Mdouble_ __y));
+# if defined __USE_ISOC99 && !defined __LDBL_COMPAT && !__MATH_DECLARING_FLOATN
+__MATHCALL (nexttoward,, (_Mdouble_ __x, long double __y));
+# endif
+
+# if __GLIBC_USE (IEC_60559_BFP_EXT) || __MATH_DECLARING_FLOATN
+/* Return X - epsilon. */
+__MATHCALL (nextdown,, (_Mdouble_ __x));
+/* Return X + epsilon. */
+__MATHCALL (nextup,, (_Mdouble_ __x));
+# endif
+
+/* Return the remainder of integer divison X / Y with infinite precision. */
+__MATHCALL (remainder,, (_Mdouble_ __x, _Mdouble_ __y));
+
+# ifdef __USE_ISOC99
+/* Return X times (2 to the Nth power). */
+__MATHCALL (scalbn,, (_Mdouble_ __x, int __n));
+# endif
+
+/* Return the binary exponent of X, which must be nonzero. */
+__MATHDECL (int,ilogb,, (_Mdouble_ __x));
+#endif
+
+#if __GLIBC_USE (IEC_60559_BFP_EXT) || __MATH_DECLARING_FLOATN
+/* Like ilogb, but returning long int. */
+__MATHDECL (long int, llogb,, (_Mdouble_ __x));
+#endif
+
+#ifdef __USE_ISOC99
+/* Return X times (2 to the Nth power). */
+__MATHCALL (scalbln,, (_Mdouble_ __x, long int __n));
+
+/* Round X to integral value in floating-point format using current
+ rounding direction, but do not raise inexact exception. */
+__MATHCALL (nearbyint,, (_Mdouble_ __x));
+
+/* Round X to nearest integral value, rounding halfway cases away from
+ zero. */
+__MATHCALLX (round,, (_Mdouble_ __x), (__const__));
+
+/* Round X to the integral value in floating-point format nearest but
+ not larger in magnitude. */
+__MATHCALLX (trunc,, (_Mdouble_ __x), (__const__));
+
+/* Compute remainder of X and Y and put in *QUO a value with sign of x/y
+ and magnitude congruent `mod 2^n' to the magnitude of the integral
+ quotient x/y, with n >= 3. */
+__MATHCALL (remquo,, (_Mdouble_ __x, _Mdouble_ __y, int *__quo));
+
+
+/* Conversion functions. */
+
+/* Round X to nearest integral value according to current rounding
+ direction. */
+__MATHDECL (long int,lrint,, (_Mdouble_ __x));
+__extension__
+__MATHDECL (long long int,llrint,, (_Mdouble_ __x));
+
+/* Round X to nearest integral value, rounding halfway cases away from
+ zero. */
+__MATHDECL (long int,lround,, (_Mdouble_ __x));
+__extension__
+__MATHDECL (long long int,llround,, (_Mdouble_ __x));
+
+
+/* Return positive difference between X and Y. */
+__MATHCALL (fdim,, (_Mdouble_ __x, _Mdouble_ __y));
+
+/* Return maximum numeric value from X and Y. */
+__MATHCALLX (fmax,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));
+
+/* Return minimum numeric value from X and Y. */
+__MATHCALLX (fmin,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));
+
+/* Multiply-add function computed as a ternary operation. */
+__MATHCALL (fma,, (_Mdouble_ __x, _Mdouble_ __y, _Mdouble_ __z));
+#endif /* Use ISO C99. */
+
+#if __GLIBC_USE (IEC_60559_BFP_EXT) || __MATH_DECLARING_FLOATN
+/* Round X to nearest integer value, rounding halfway cases to even. */
+__MATHCALLX (roundeven,, (_Mdouble_ __x), (__const__));
+
+/* Round X to nearest signed integer value, not raising inexact, with
+ control of rounding direction and width of result. */
+__MATHDECL (__intmax_t, fromfp,, (_Mdouble_ __x, int __round,
+ unsigned int __width));
+
+/* Round X to nearest unsigned integer value, not raising inexact,
+ with control of rounding direction and width of result. */
+__MATHDECL (__uintmax_t, ufromfp,, (_Mdouble_ __x, int __round,
+ unsigned int __width));
+
+/* Round X to nearest signed integer value, raising inexact for
+ non-integers, with control of rounding direction and width of
+ result. */
+__MATHDECL (__intmax_t, fromfpx,, (_Mdouble_ __x, int __round,
+ unsigned int __width));
+
+/* Round X to nearest unsigned integer value, raising inexact for
+ non-integers, with control of rounding direction and width of
+ result. */
+__MATHDECL (__uintmax_t, ufromfpx,, (_Mdouble_ __x, int __round,
+ unsigned int __width));
+
+/* Return value with maximum magnitude. */
+__MATHCALLX (fmaxmag,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));
+
+/* Return value with minimum magnitude. */
+__MATHCALLX (fminmag,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));
+
+/* Total order operation. */
+__MATHDECL_1 (int, totalorder,, (_Mdouble_ __x, _Mdouble_ __y))
+ __attribute__ ((__const__));
+
+/* Total order operation on absolute values. */
+__MATHDECL_1 (int, totalordermag,, (_Mdouble_ __x, _Mdouble_ __y))
+ __attribute__ ((__const__));
+
+/* Canonicalize floating-point representation. */
+__MATHDECL_1 (int, canonicalize,, (_Mdouble_ *__cx, const _Mdouble_ *__x));
+
+/* Get NaN payload. */
+__MATHCALL (getpayload,, (const _Mdouble_ *__x));
+
+/* Set quiet NaN payload. */
+__MATHDECL_1 (int, setpayload,, (_Mdouble_ *__x, _Mdouble_ __payload));
+
+/* Set signaling NaN payload. */
+__MATHDECL_1 (int, setpayloadsig,, (_Mdouble_ *__x, _Mdouble_ __payload));
+#endif
+
+#if (defined __USE_MISC || (defined __USE_XOPEN_EXTENDED \
+ && __MATH_DECLARING_DOUBLE \
+ && !defined __USE_XOPEN2K8)) \
+ && !__MATH_DECLARING_FLOATN
+/* Return X times (2 to the Nth power). */
+__MATHCALL (scalb,, (_Mdouble_ __x, _Mdouble_ __n));
+#endif
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