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/* Copyright (C) 1991, 1992, 1993, 1995 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 */
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