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Diffstat (limited to 'math/math.h')
| -rw-r--r-- | math/math.h | 317 |
1 files changed, 317 insertions, 0 deletions
diff --git a/math/math.h b/math/math.h new file mode 100644 index 0000000..51ba57c --- /dev/null +++ b/math/math.h @@ -0,0 +1,317 @@ +/* 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 */ |