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+/* Copyright (C) 1991, 1992, 1993 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, 1992 Free Software Foundation, Inc., 675 Mass Ave,
+Cambridge, MA 02139, USA. */
+
+/*
+ * ANSI Standard: 4.5 MATHEMATICS <math.h>
+ */
+
+#ifndef _MATH_H
+
+#define _MATH_H 1
+#include <features.h>
+
+__BEGIN_DECLS
+
+#define __need_Emath
+#include <errno.h>
+
+/* Get machine-dependent HUGE_VAL value (returned on overflow). */
+#include <huge_val.h>
+
+/* Get machine-dependent NAN value (returned for some domain errors). */
+#ifdef __USE_GNU
+#include <nan.h>
+#endif
+
+
+/* Trigonometric functions. */
+
+/* Arc cosine of X. */
+extern double acos __P ((double __x)) __attribute__ ((__const__));
+/* Arc sine of X. */
+extern double asin __P ((double __x)) __attribute__ ((__const__));
+/* Arc tangent of X. */
+extern double atan __P ((double __x)) __attribute__ ((__const__));
+/* Arc tangent of Y/X. */
+extern double atan2 __P ((double __y, double __x)) __attribute__ ((__const__));
+
+/* Cosine of X. */
+extern double cos __P ((double __x)) __attribute__ ((__const__));
+/* Sine of X. */
+extern double sin __P ((double __x)) __attribute__ ((__const__));
+/* Tangent of X. */
+extern double tan __P ((double __x)) __attribute__ ((__const__));
+
+
+/* Hyperbolic functions. */
+
+/* Hyperbolic cosine of X. */
+extern double cosh __P ((double __x)) __attribute__ ((__const__));
+/* Hyperbolic sine of X. */
+extern double sinh __P ((double __x)) __attribute__ ((__const__));
+/* Hyperbolic tangent of X. */
+extern double tanh __P ((double __x)) __attribute__ ((__const__));
+
+#ifdef __USE_MISC
+/* Hyperbolic arc cosine of X. */
+extern double acosh __P ((double __x)) __attribute__ ((__const__));
+/* Hyperbolic arc sine of X. */
+extern double asinh __P ((double __x)) __attribute__ ((__const__));
+/* Hyperbolic arc tangent of X. */
+extern double atanh __P ((double __x)) __attribute__ ((__const__));
+#endif
+
+/* Exponential and logarithmic functions. */
+
+/* Exponentional function of X. */
+extern double exp __P ((double __x)) __attribute__ ((__const__));
+
+/* Break VALUE into a normalized fraction and an integral power of 2. */
+extern double frexp __P ((double __value, int *__exp));
+
+/* X times (two to the EXP power). */
+extern double ldexp __P ((double __x, int __exp)) __attribute__ ((__const__));
+
+/* Natural logarithm of X. */
+extern double log __P ((double __x)) __attribute__ ((__const__));
+
+/* Base-ten logarithm of X. */
+extern double log10 __P ((double __x)) __attribute__ ((__const__));
+
+#ifdef __USE_MISC
+/* Return exp(X) - 1. */
+extern double __expm1 __P ((double __x)) __attribute__ ((__const__));
+extern double expm1 __P ((double __x)) __attribute__ ((__const__));
+
+/* Return log(1 + X). */
+extern double log1p __P ((double __x)) __attribute__ ((__const__));
+#endif
+
+/* Break VALUE into integral and fractional parts. */
+extern double modf __P ((double __value, double *__iptr));
+
+
+/* Power functions. */
+
+/* Return X to the Y power. */
+extern double pow __P ((double __x, double __y)) __attribute__ ((__const__));
+
+/* Return the square root of X. */
+extern double sqrt __P ((double __x)) __attribute__ ((__const__));
+
+#ifdef __USE_MISC
+/* Return the cube root of X. */
+extern double cbrt __P ((double __x)) __attribute__ ((__const__));
+#endif
+
+
+/* Nearest integer, absolute value, and remainder functions. */
+
+/* Smallest integral value not less than X. */
+extern double ceil __P ((double __x)) __attribute__ ((__const__));
+
+/* Absolute value of X. */
+extern double fabs __P ((double __x)) __attribute__ ((__const__));
+
+/* Largest integer not greater than X. */
+extern double floor __P ((double __x)) __attribute__ ((__const__));
+
+/* Floating-point modulo remainder of X/Y. */
+extern double fmod __P ((double __x, double __y)) __attribute__ ((__const__));
+
+
+/* Return 0 if VALUE is finite or NaN, +1 if it
+ is +Infinity, -1 if it is -Infinity. */
+extern int __isinf __P ((double __value)) __attribute__ ((__const__));
+
+/* Return nonzero if VALUE is not a number. */
+extern int __isnan __P ((double __value)) __attribute__ ((__const__));
+
+/* Return nonzero if VALUE is finite and not NaN. */
+extern int __finite __P ((double __value)) __attribute__ ((__const__));
+#ifdef __OPTIMIZE__
+#define __finite(value) (!__isinf(value))
+#endif
+
+/* 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. */
+extern double __infnan __P ((int __error));
+
+/* Return X with its signed changed to Y's. */
+extern double __copysign __P ((double __x, double __y))
+ __attribute__ ((__const__));
+
+/* Return X times (2 to the Nth power). */
+extern double __scalb __P ((double __x, int __n))
+ __attribute__ ((__const__));
+
+#ifdef __OPTIMIZE__
+#define __scalb(x, n) ldexp ((x), (n))
+#endif
+
+/* Return the remainder of X/Y. */
+extern double __drem __P ((double __x, double __y))
+ __attribute__ ((__const__));
+
+/* Return the base 2 signed integral exponent of X. */
+extern double __logb __P ((double __x)) __attribute__ ((__const__));
+
+#ifdef __USE_MISC
+
+/* Return the integer nearest X in the direction of the
+ prevailing rounding mode. */
+extern double __rint __P ((double __x)) __attribute__ ((__const__));
+extern double rint __P ((double __x)) __attribute__ ((__const__));
+
+/* Return `sqrt(X*X + Y*Y)'. */
+extern double hypot __P ((double __x, double __y)) __attribute__ ((__const__));
+
+struct __cabs_complex
+{
+ double __x, __y;
+};
+
+/* Return `sqrt(X*X + Y*Y)'. */
+extern double cabs __P ((struct __cabs_complex)) __attribute__ ((__const__));
+
+extern int isinf __P ((double __value)) __attribute__ ((__const__));
+extern int isnan __P ((double __value)) __attribute__ ((__const__));
+extern int finite __P ((double __value)) __attribute__ ((__const__));
+extern double infnan __P ((int __error)) __attribute__ ((__const__));
+extern double copysign __P ((double __x, double __y))
+ __attribute__ ((__const__));
+extern double scalb __P ((double __x, int __n)) __attribute__ ((__const__));
+extern double drem __P ((double __x, double __y)) __attribute__ ((__const__));
+extern double logb __P ((double __x)) __attribute__ ((__const__));
+
+#ifdef __OPTIMIZE__
+#define isinf(value) __isinf(value)
+#define isnan(value) __isnan(value)
+#define infnan(error) __infnan(error)
+#define finite(value) __finite(value)
+#define copysign(x, y) __copysign((x), (y))
+#define scalb(x, n) __scalb((x), (n))
+#define drem(x, y) __drem((x), (y))
+#define logb(x) __logb(x)
+#endif /* Optimizing. */
+
+#endif /* Use misc. */
+
+
+#if 0
+/* The "Future Library Directions" section of the
+ ANSI Standard reserves these as `float' and
+ `long double' versions of the above functions. */
+
+extern float acosf __P ((float __x)) __attribute__ ((__const__));
+extern float asinf __P ((float __x)) __attribute__ ((__const__));
+extern float atanf __P ((float __x)) __attribute__ ((__const__));
+extern float atan2f __P ((float __y, float __x)) __attribute__ ((__const__));
+extern float cosf __P ((float __x)) __attribute__ ((__const__));
+extern float sinf __P ((float __x)) __attribute__ ((__const__));
+extern float tanf __P ((float __x)) __attribute__ ((__const__));
+extern float coshf __P ((float __x)) __attribute__ ((__const__));
+extern float sinhf __P ((float __x)) __attribute__ ((__const__));
+extern float tanhf __P ((float __x)) __attribute__ ((__const__));
+extern float expf __P ((float __x)) __attribute__ ((__const__));
+extern float frexpf __P ((float __value, int *__exp));
+extern float ldexpf __P ((float __x, int __exp)) __attribute__ ((__const__));
+extern float logf __P ((float __x)) __attribute__ ((__const__));
+extern float log10f __P ((float __x)) __attribute__ ((__const__));
+extern float modff __P ((float __value, float *__iptr));
+extern float powf __P ((float __x, float __y)) __attribute__ ((__const__));
+extern float sqrtf __P ((float __x)) __attribute__ ((__const__));
+extern float ceilf __P ((float __x)) __attribute__ ((__const__));
+extern float fabsf __P ((float __x)) __attribute__ ((__const__));
+extern float floorf __P ((float __x)) __attribute__ ((__const__));
+extern float fmodf __P ((float __x, float __y)) __attribute__ ((__const__));
+
+extern __long_double_t acosl __P ((__long_double_t __x))
+ __attribute__ ((__const__));
+extern __long_double_t asinl __P ((__long_double_t __x))
+ __attribute__ ((__const__));
+extern __long_double_t atanl __P ((__long_double_t __x))
+ __attribute__ ((__const__));
+extern __long_double_t atan2l __P ((__long_double_t __y, __long_double_t __x))
+ __attribute__ ((__const__));
+extern __long_double_t cosl __P ((__long_double_t __x))
+ __attribute__ ((__const__));
+extern __long_double_t sinl __P ((__long_double_t __x))
+ __attribute__ ((__const__));
+extern __long_double_t tanl __P ((__long_double_t __x))
+ __attribute__ ((__const__));
+extern __long_double_t coshl __P ((__long_double_t __x))
+ __attribute__ ((__const__));
+extern __long_double_t sinhl __P ((__long_double_t __x))
+ __attribute__ ((__const__));
+extern __long_double_t tanhl __P ((__long_double_t __x))
+ __attribute__ ((__const__));
+extern __long_double_t expl __P ((__long_double_t __x))
+ __attribute__ ((__const__));
+extern __long_double_t frexpl __P ((__long_double_t __value, int *__exp));
+extern __long_double_t ldexpl __P ((__long_double_t __x, int __exp))
+ __attribute__ ((__const__));
+extern __long_double_t logl __P ((__long_double_t __x))
+ __attribute__ ((__const__));
+extern __long_double_t log10l __P ((__long_double_t __x))
+ __attribute__ ((__const__));
+extern __long_double_t modfl __P ((__long_double_t __value,
+ __long_double_t *__ip));
+extern __long_double_t powl __P ((__long_double_t __x, __long_double_t __y))
+ __attribute__ ((__const__));
+extern __long_double_t sqrtl __P ((__long_double_t __x))
+ __attribute__ ((__const__));
+extern __long_double_t ceill __P ((__long_double_t __x))
+ __attribute__ ((__const__));
+extern __long_double_t fabsl __P ((__long_double_t __x))
+ __attribute__ ((__const__));
+extern __long_double_t floorl __P ((__long_double_t __x))
+ __attribute__ ((__const__));
+extern __long_double_t fmodl __P ((__long_double_t __x, __long_double_t __y))
+ __attribute__ ((__const__));
+#endif /* 0 */
+
+/* Get machine-dependent inline versions (if there are any). */
+#include <__math.h>
+
+__END_DECLS
+
+
+#ifdef __USE_BSD
+/* Some useful constants. */
+#define M_E 2.7182818284590452354 /* e */
+#define M_LOG2E 1.4426950408889634074 /* log 2e */
+#define M_LOG10E 0.43429448190325182765 /* log 10e */
+#define M_LN2 0.69314718055994530942 /* log e2 */
+#define M_LN10 2.30258509299404568402 /* log e10 */
+#define M_PI 3.14159265358979323846 /* pi */
+#define M_PI_2 1.57079632679489661923 /* pi/2 */
+#define M_PI_4 0.78539816339744830962 /* pi/4 */
+#define M_1_PI 0.31830988618379067154 /* 1/pi */
+#define M_2_PI 0.63661977236758134308 /* 2/pi */
+#define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */
+#define M_SQRT2 1.41421356237309504880 /* sqrt(2) */
+#define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */
+#endif
+
+
+#endif /* math.h */