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+/* Prototype declarations for math functions; helper file for <math.h>.
+ Copyright (C) 1996, 1997, 1998, 1999 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 Library General Public License as
+ published by the Free Software Foundation; either version 2 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
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+/* 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 (cos,, (_Mdouble_ __x));
+/* Sine of X. */
+__MATHCALL (sin,, (_Mdouble_ __x));
+/* Tangent of X. */
+__MATHCALL (tan,, (_Mdouble_ __x));
+
+#ifdef __USE_GNU
+/* Cosine and sine of X. */
+__MATHDECL (void,sincos,,
+ (_Mdouble_ __x, _Mdouble_ *__sinx, _Mdouble_ *__cosx));
+#endif
+
+/* 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));
+
+#if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC9X
+/* 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 (exp,, (_Mdouble_ __x));
+
+#ifdef __USE_GNU
+/* A function missing in all standards: compute exponent to base ten. */
+__MATHCALL (exp10,, (_Mdouble_ __x));
+/* Another name occasionally used. */
+__MATHCALL (pow10,, (_Mdouble_ __x));
+#endif
+
+/* 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 (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));
+
+#if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC9X
+/* 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_ISOC9X
+/* 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 (pow,, (_Mdouble_ __x, _Mdouble_ __y));
+
+/* Return the square root of X. */
+__MATHCALL (sqrt,, (_Mdouble_ __x));
+
+#if defined __USE_MISC || defined __USE_XOPEN || defined __USE_ISOC9X
+/* Return `sqrt(X*X + Y*Y)'. */
+__MATHCALL (hypot,, (_Mdouble_ __x, _Mdouble_ __y));
+#endif
+
+#if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC9X
+/* 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. */
+__MATHCALL (ceil,, (_Mdouble_ __x));
+
+/* Absolute value of X. */
+__MATHCALLX (fabs,, (_Mdouble_ __x), (__const__));
+
+/* Largest integer not greater than X. */
+__MATHCALL (floor,, (_Mdouble_ __x));
+
+/* Floating-point modulo remainder of X/Y. */
+__MATHCALL (fmod,, (_Mdouble_ __x, _Mdouble_ __y));
+
+
+/* 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__));
+
+/* Return nonzero if VALUE is finite and not NaN. */
+__MATHDECL_1 (int,__finite,, (_Mdouble_ __value)) __attribute__ ((__const__));
+
+#ifdef __USE_MISC
+/* 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__));
+
+/* Return nonzero if VALUE is finite and not NaN. */
+__MATHDECL_1 (int,finite,, (_Mdouble_ __value)) __attribute__ ((__const__));
+
+/* Deal with an infinite or NaN result.
+ If ERROR is ERANGE, result is +Inf;
+ if ERROR is - ERANGE, result is -Inf;
+ otherwise result is NaN.
+ This will set `errno' to either ERANGE or EDOM,
+ and may return an infinity or NaN, or may do something else. */
+__MATHCALLX (infnan,, (int __error), (__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 /* Use misc. */
+
+#if defined __USE_MISC || defined __USE_ISOC9X
+/* Return X with its signed changed to Y's. */
+__MATHCALLX (copysign,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));
+#endif
+
+#ifdef __USE_ISOC9X
+/* Return representation of NaN for double type. */
+__MATHCALLX (nan,, (__const char *__tagb), (__const__));
+#endif
+
+
+/* Return nonzero if VALUE is not a number. */
+__MATHDECL_1 (int,__isnan,, (_Mdouble_ __value)) __attribute__ ((__const__));
+
+#if defined __USE_MISC || defined __USE_XOPEN
+/* Return nonzero if VALUE is not a number. */
+__MATHDECL_1 (int,isnan,, (_Mdouble_ __value)) __attribute__ ((__const__));
+
+/* 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_MISC || defined __USE_XOPEN || defined __USE_ISOC9X
+/* Error and gamma functions. */
+__MATHCALL (erf,, (_Mdouble_));
+__MATHCALL (erfc,, (_Mdouble_));
+__MATHCALL (lgamma,, (_Mdouble_));
+__MATHCALL (tgamma,, (_Mdouble_));
+#endif
+
+#if defined __USE_MISC || defined __USE_XOPEN
+/* Obsolete alias for `lgamma'. */
+__MATHCALL (gamma,, (_Mdouble_));
+#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_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC9X
+/* 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. */
+__MATHCALLX (nextafter,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));
+# ifdef __USE_ISOC9X
+__MATHCALLX (nexttoward,, (_Mdouble_ __x, long double __y), (__const__));
+# endif
+
+/* Return the remainder of integer divison X / Y with infinite precision. */
+__MATHCALL (remainder,, (_Mdouble_ __x, _Mdouble_ __y));
+
+# if defined __USE_MISC || defined __USE_XOPEN_EXTENDED
+/* Return X times (2 to the Nth power). */
+__MATHCALL (scalb,, (_Mdouble_ __x, _Mdouble_ __n));
+# endif
+
+/* Return X times (2 to the Nth power). */
+__MATHCALL (scalbn,, (_Mdouble_ __x, int __n));
+
+/* Return the binary exponent of X, which must be nonzero. */
+__MATHDECL (int,ilogb,, (_Mdouble_ __x));
+#endif
+
+#ifdef __USE_ISOC9X
+/* 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. */
+__MATHCALL (round,, (_Mdouble_ __x));
+
+/* 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));
+__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));
+__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. */
+__MATHCALL (fmax,, (_Mdouble_ __x, _Mdouble_ __y));
+
+/* Return minimum numeric value from X and Y. */
+__MATHCALL (fmin,, (_Mdouble_ __x, _Mdouble_ __y));
+
+
+/* Classify given number. */
+__MATHDECL_1 (int, __fpclassify,, (_Mdouble_ __value))
+ __attribute__ ((__const__));
+
+/* Test for negative number. */
+__MATHDECL_1 (int, __signbit,, (_Mdouble_ __value))
+ __attribute__ ((__const__));
+
+
+/* Multiply-add function computed as a ternary operation. */
+__MATHCALL (fma,, (_Mdouble_ __x, _Mdouble_ __y, _Mdouble_ __z));
+#endif /* Use ISO C 9X. */