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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 __CONSTVALUE double acos __P ((double __x));
- /* Arc sine of X. */
- extern __CONSTVALUE double asin __P ((double __x));
- /* Arc tangent of X. */
- extern __CONSTVALUE double atan __P ((double __x));
- /* Arc tangent of Y/X. */
- extern __CONSTVALUE double atan2 __P ((double __y, double __x));
-
- /* Cosine of X. */
- extern __CONSTVALUE double cos __P ((double __x));
- /* Sine of X. */
- extern __CONSTVALUE double sin __P ((double __x));
- /* Tangent of X. */
- extern __CONSTVALUE double tan __P ((double __x));
-
-
- /* Hyperbolic functions. */
-
- /* Hyperbolic cosine of X. */
- extern __CONSTVALUE double cosh __P ((double __x));
- /* Hyperbolic sine of X. */
- extern __CONSTVALUE double sinh __P ((double __x));
- /* Hyperbolic tangent of X. */
- extern __CONSTVALUE double tanh __P ((double __x));
-
- #ifdef __USE_MISC
- /* Hyperbolic arc cosine of X. */
- extern __CONSTVALUE double acosh __P ((double __x));
- /* Hyperbolic arc sine of X. */
- extern __CONSTVALUE double asinh __P ((double __x));
- /* Hyperbolic arc tangent of X. */
- extern __CONSTVALUE double atanh __P ((double __x));
- #endif
-
- /* Exponential and logarithmic functions. */
-
- /* Exponentional function of X. */
- extern __CONSTVALUE double exp __P ((double __x));
-
- /* 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 __CONSTVALUE double ldexp __P ((double __x, int __exp));
-
- /* Natural logarithm of X. */
- extern __CONSTVALUE double log __P ((double __x));
-
- /* Base-ten logarithm of X. */
- extern __CONSTVALUE double log10 __P ((double __x));
-
- #ifdef __USE_MISC
- /* Return exp(X) - 1. */
- extern __CONSTVALUE double __expm1 __P ((double __x));
- extern __CONSTVALUE double expm1 __P ((double __x));
-
- /* Return log(1 + X). */
- extern __CONSTVALUE double log1p __P ((double __x));
- #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 __CONSTVALUE double pow __P ((double __x, double __y));
-
- /* Return the square root of X. */
- extern __CONSTVALUE double sqrt __P ((double __x));
-
- #ifdef __USE_MISC
- /* Return the cube root of X. */
- extern __CONSTVALUE double cbrt __P ((double __x));
- #endif
-
-
- /* Nearest integer, absolute value, and remainder functions. */
-
- /* Smallest integral value not less than X. */
- extern __CONSTVALUE double ceil __P ((double __x));
-
- /* Absolute value of X. */
- extern __CONSTVALUE double fabs __P ((double __x));
-
- /* Largest integer not greater than X. */
- extern __CONSTVALUE double floor __P ((double __x));
-
- /* Floating-point modulo remainder of X/Y. */
- extern __CONSTVALUE double fmod __P ((double __x, double __y));
-
-
- /* Return 0 if VALUE is finite or NaN, +1 if it
- is +Infinity, -1 if it is -Infinity. */
- extern __CONSTVALUE int __isinf __P ((double __value));
-
- /* Return nonzero if VALUE is not a number. */
- extern __CONSTVALUE int __isnan __P ((double __value));
-
- /* Return nonzero if VALUE is finite and not NaN. */
- extern __CONSTVALUE int __finite __P ((double __value));
- #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 __CONSTVALUE double __copysign __P ((double __x, double __y));
-
- /* Return X times (2 to the Nth power). */
- extern __CONSTVALUE double __scalb __P ((double __x, int __n));
-
- #ifdef __OPTIMIZE__
- #define __scalb(x, n) ldexp ((x), (n))
- #endif
-
- /* Return the remainder of X/Y. */
- extern __CONSTVALUE double __drem __P ((double __x, double __y));
-
- /* Return the base 2 signed integral exponent of X. */
- extern __CONSTVALUE double __logb __P ((double __x));
-
- #ifdef __USE_MISC
-
- /* Return the integer nearest X in the direction of the
- prevailing rounding mode. */
- extern __CONSTVALUE double __rint __P ((double __x));
- extern __CONSTVALUE double rint __P ((double __x));
-
- /* Return `sqrt(X*X + Y*Y)'. */
- extern __CONSTVALUE double hypot __P ((double __x, double __y));
-
- struct __cabs_complex
- {
- double __x, __y;
- };
-
- /* Return `sqrt(X*X + Y*Y)'. */
- extern __CONSTVALUE double cabs __P ((struct __cabs_complex));
-
- extern __CONSTVALUE int isinf __P ((double __value));
- extern __CONSTVALUE int isnan __P ((double __value));
- extern __CONSTVALUE int finite __P ((double __value));
- extern __CONSTVALUE double infnan __P ((int __error));
- extern __CONSTVALUE double copysign __P ((double __x, double __y));
- extern __CONSTVALUE double scalb __P ((double __x, int __n));
- extern __CONSTVALUE double drem __P ((double __x, double __y));
- extern __CONSTVALUE double logb __P ((double __x));
-
- #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 __CONSTVALUE float acosf __P ((float __x));
- extern __CONSTVALUE float asinf __P ((float __x));
- extern __CONSTVALUE float atanf __P ((float __x));
- extern __CONSTVALUE float atan2f __P ((float __y, float __x));
- extern __CONSTVALUE float cosf __P ((float __x));
- extern __CONSTVALUE float sinf __P ((float __x));
- extern __CONSTVALUE float tanf __P ((float __x));
- extern __CONSTVALUE float coshf __P ((float __x));
- extern __CONSTVALUE float sinhf __P ((float __x));
- extern __CONSTVALUE float tanhf __P ((float __x));
- extern __CONSTVALUE float expf __P ((float __x));
- extern float frexpf __P ((float __value, int *__exp));
- extern __CONSTVALUE float ldexpf __P ((float __x, int __exp));
- extern __CONSTVALUE float logf __P ((float __x));
- extern __CONSTVALUE float log10f __P ((float __x));
- extern float modff __P ((float __value, float *__iptr));
- extern __CONSTVALUE float powf __P ((float __x, float __y));
- extern __CONSTVALUE float sqrtf __P ((float __x));
- extern __CONSTVALUE float ceilf __P ((float __x));
- extern __CONSTVALUE float fabsf __P ((float __x));
- extern __CONSTVALUE float floorf __P ((float __x));
- extern __CONSTVALUE float fmodf __P ((float __x, float __y));
-
- extern __CONSTVALUE __long_double_t acosl __P ((__long_double_t __x));
- extern __CONSTVALUE __long_double_t asinl __P ((__long_double_t __x));
- extern __CONSTVALUE __long_double_t atanl __P ((__long_double_t __x));
- extern __CONSTVALUE __long_double_t atan2l __P ((__long_double_t __y, __long_double_t __x));
- extern __CONSTVALUE __long_double_t cosl __P ((__long_double_t __x));
- extern __CONSTVALUE __long_double_t sinl __P ((__long_double_t __x));
- extern __CONSTVALUE __long_double_t tanl __P ((__long_double_t __x));
- extern __CONSTVALUE __long_double_t coshl __P ((__long_double_t __x));
- extern __CONSTVALUE __long_double_t sinhl __P ((__long_double_t __x));
- extern __CONSTVALUE __long_double_t tanhl __P ((__long_double_t __x));
- extern __CONSTVALUE __long_double_t expl __P ((__long_double_t __x));
- extern __long_double_t frexpl __P ((__long_double_t __value, int *__exp));
- extern __CONSTVALUE __long_double_t ldexpl __P ((__long_double_t __x, int __exp));
- extern __CONSTVALUE __long_double_t logl __P ((__long_double_t __x));
- extern __CONSTVALUE __long_double_t log10l __P ((__long_double_t __x));
- extern __long_double_t modfl __P ((__long_double_t __value, __long_double_t * __ip));
- extern __CONSTVALUE __long_double_t powl __P ((__long_double_t __x, __long_double_t __y));
- extern __CONSTVALUE __long_double_t sqrtl __P ((__long_double_t __x));
- extern __CONSTVALUE __long_double_t ceill __P ((__long_double_t __x));
- extern __CONSTVALUE __long_double_t fabsl __P ((__long_double_t __x));
- extern __CONSTVALUE __long_double_t floorl __P ((__long_double_t __x));
- extern __CONSTVALUE __long_double_t fmodl __P ((__long_double_t __x, __long_double_t __y));
- #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 */
-