path: root/include/math.h

/*	$OpenBSD: math.h,v 1.21 2008/09/07 20:36:07 martynas Exp $	*/
/*
 * ====================================================
 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
 *
 * Developed at SunPro, a Sun Microsystems, Inc. business.
 * Permission to use, copy, modify, and distribute this
 * software is freely granted, provided that this notice 
 * is preserved.
 * ====================================================
 */

/*
 * from: @(#)fdlibm.h 5.1 93/09/24
 */

#ifndef _MATH_H_
#define _MATH_H_

#include <sys/_types.h>
#include <sys/cdefs.h>
#include <sys/limits.h>

/*
 * ANSI/POSIX
 */
extern char __infinity[];
#define HUGE_VAL	(*(double *)(void *)__infinity)

/*
 * C99
 */
#if __ISO_C_VISIBLE >= 1999
typedef	__double_t	double_t;
typedef	__float_t	float_t;

#define	HUGE_VALF	((float)HUGE_VAL)
#define	HUGE_VALL	((long double)HUGE_VAL)
#define	INFINITY	HUGE_VALF
#ifndef __vax__
extern char __nan[];
#define	NAN		(*(float *)(void *)__nan)
#endif /* !__vax__ */

#define	FP_INFINITE	0x01
#define	FP_NAN		0x02
#define	FP_NORMAL	0x04
#define	FP_SUBNORMAL	0x08
#define	FP_ZERO		0x10

#define FP_ILOGB0	(-INT_MAX)
#define FP_ILOGBNAN	INT_MAX

#define fpclassify(x) \
	((sizeof (x) == sizeof (float)) ? \
		__fpclassifyf(x) \
	: (sizeof (x) == sizeof (double)) ? \
		__fpclassify(x) \
	:	__fpclassifyl(x))
#define isfinite(x) \
	((sizeof (x) == sizeof (float)) ? \
		__isfinitef(x) \
	: (sizeof (x) == sizeof (double)) ? \
		__isfinite(x) \
	:	__isfinitel(x))
#define isnormal(x) \
	((sizeof (x) == sizeof (float)) ? \
		__isnormalf(x) \
	: (sizeof (x) == sizeof (double)) ? \
		__isnormal(x) \
	:	__isnormall(x))
#define signbit(x) \
	((sizeof (x) == sizeof (float)) ? \
		__signbitf(x) \
	: (sizeof (x) == sizeof (double)) ? \
		__signbit(x) \
	:	__signbitl(x))

#define	isgreater(x, y)		(!isunordered((x), (y)) && (x) > (y))
#define	isgreaterequal(x, y)	(!isunordered((x), (y)) && (x) >= (y))
#define	isless(x, y)		(!isunordered((x), (y)) && (x) < (y))
#define	islessequal(x, y)	(!isunordered((x), (y)) && (x) <= (y))
#define	islessgreater(x, y)	(!isunordered((x), (y)) && \
					((x) > (y) || (y) > (x)))
#define	isunordered(x, y)	(isnan(x) || isnan(y))
#endif /* __ISO_C_VISIBLE >= 1999 */

#define isinf(x) \
	((sizeof (x) == sizeof (float)) ? \
		isinff(x) \
	: (sizeof (x) == sizeof (double)) ? \
		__isinf(x) \
	:	__isinfl(x))
#define isnan(x) \
	((sizeof (x) == sizeof (float)) ? \
		isnanf(x) \
	: (sizeof (x) == sizeof (double)) ? \
		__isnan(x) \
	:	__isnanl(x))

/*
 * XOPEN/SVID
 */
#if __BSD_VISIBLE || __XPG_VISIBLE
#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) */

#ifdef __vax__
#define	MAXFLOAT	((float)1.70141173319264430e+38)
#else
#define	MAXFLOAT	((float)3.40282346638528860e+38)
#endif /* __vax__ */

extern int signgam;
#endif /* __BSD_VISIBLE || __XPG_VISIBLE */

#if __BSD_VISIBLE
#define	HUGE		MAXFLOAT
#endif /* __BSD_VISIBLE */

__BEGIN_DECLS
/*
 * ANSI/POSIX
 */
extern double acos(double);
extern double asin(double);
extern double atan(double);
extern double atan2(double, double);
extern double cos(double);
extern double sin(double);
extern double tan(double);

extern double cosh(double);
extern double sinh(double);
extern double tanh(double);

extern double exp(double);
extern double frexp(double, int *);
extern double ldexp(double, int);
extern double log(double);
extern double log10(double);
extern double modf(double, double *);

extern double pow(double, double);
extern double sqrt(double);

extern double ceil(double);
extern double fabs(double);
extern double floor(double);
extern double fmod(double, double);

/*
 * C99
 */
#if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XPG_VISIBLE
extern double acosh(double);
extern double asinh(double);
extern double atanh(double);

extern double exp2(double);
extern double expm1(double);
extern int ilogb(double);
extern double log1p(double);
extern double log2(double);
extern double logb(double);
extern double scalbn(double, int);
#if 0
extern double scalbln(double, long int);
#endif

extern double cbrt(double);
extern double hypot(double, double);

extern double erf(double);
extern double erfc(double);
extern double lgamma(double);
extern double tgamma(double);

#if 0
extern double nearbyint(double);
#endif
extern double rint(double);
extern long int lrint(double);
extern long long int llrint(double);
extern double round(double);
extern long int lround(double);
extern long long int llround(double);
extern double trunc(double);

extern double remainder(double, double);
extern double remquo(double, double, int *);

extern double copysign(double, double);
extern double nan(const char *);
extern double nextafter(double, double);
#if 0
extern double nexttoward(double, long double);
#endif

extern double fdim(double, double);
extern double fmax(double, double);
extern double fmin(double, double);

#if 0
extern double fma(double, double, double);
#endif
#endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XPG_VISIBLE */

#if __BSD_VISIBLE || __XPG_VISIBLE
extern double j0(double);
extern double j1(double);
extern double jn(int, double);
extern double scalb(double, double);
extern double y0(double);
extern double y1(double);
extern double yn(int, double);
#endif /* __BSD_VISIBLE || __XPG_VISIBLE */

#if __BSD_VISIBLE || __XPG_VISIBLE <= 500
extern double gamma(double);
#endif /* __BSD_VISIBLE || __XPG_VISIBLE <= 500 */

/*
 * BSD math library entry points
 */
#if __BSD_VISIBLE
extern double drem(double, double);
extern int finite(double);

/*
 * Reentrant version of gamma & lgamma; passes signgam back by reference
 * as the second argument; user must allocate space for signgam.
 */
extern double gamma_r(double, int *);
extern double lgamma_r(double, int *);

/*
 * IEEE Test Vector
 */
extern double significand(double);
#endif /* __BSD_VISIBLE */

/*
 * Float versions of C99 functions
 */
#if __ISO_C_VISIBLE >= 1999
extern float acosf(float);
extern float asinf(float);
extern float atanf(float);
extern float atan2f(float, float);
extern float cosf(float);
extern float sinf(float);
extern float tanf(float);

extern float acoshf(float);
extern float asinhf(float);
extern float atanhf(float);
extern float coshf(float);
extern float sinhf(float);
extern float tanhf(float);

extern float expf(float);
extern float exp2f(float);
extern float expm1f(float);
extern float frexpf(float, int *);
extern int ilogbf(float);
extern float ldexpf(float, int);
extern float logf(float);
extern float log10f(float);
extern float log1pf(float);
#if 0
extern float log2f(float);
#endif
extern float logbf(float);
extern float modff(float, float *);
extern float scalbnf(float, int);
#if 0
extern float scalblnf(float, long int);
#endif

extern float cbrtf(float);
extern float fabsf(float);
extern float hypotf(float, float);
extern float powf(float, float);
extern float sqrtf(float);

extern float erff(float);
extern float erfcf(float);
extern float lgammaf(float);
extern float tgammaf(float);

extern float ceilf(float);
extern float floorf(float);
#if 0
extern float nearbyintf(float);
#endif
extern float rintf(float);
extern long int lrintf(float);
extern long long int llrintf(float);
extern float roundf(float);
extern long int lroundf(float);
extern long long int llroundf(float);
extern float truncf(float);

extern float fmodf(float, float);
extern float remainderf(float, float);
extern float remquof(float, float, int *);

extern float copysignf(float, float);
extern float nanf(const char *);
extern float nextafterf(float, float);
#if 0
extern float nexttowardf(float, long double);
#endif

extern float fdimf(float, float);
extern float fmaxf(float, float);
extern float fminf(float, float);

#if 0
extern float fmaf(float, float, float);
#endif
#endif /* __ISO_C_VISIBLE >= 1999 */

#if __BSD_VISIBLE || __XPG_VISIBLE
extern float j0f(float);
extern float j1f(float);
extern float jnf(int, float);
extern float scalbf(float, float);
extern float y0f(float);
extern float y1f(float);
extern float ynf(int, float);
#endif /* __BSD_VISIBLE || __XPG_VISIBLE */

#if __BSD_VISIBLE || __XPG_VISIBLE <= 500
extern float gammaf(float);
#endif /* __BSD_VISIBLE || __XPG_VISIBLE <= 500 */

/*
 * Float versions of BSD math library entry points
 */
#if __BSD_VISIBLE
extern float dremf(float, float);
extern int finitef(float);
extern int isinff(float);
extern int isnanf(float);

/*
 * Float versions of reentrant version of gamma & lgamma; passes
 * signgam back by reference as the second argument; user must
 * allocate space for signgam.
 */
extern float gammaf_r(float, int *);
extern float lgammaf_r(float, int *);

/*
 * Float version of IEEE Test Vector
 */
extern float significandf(float);
#endif /* __BSD_VISIBLE */

/*
 * Long double versions of C99 functions
 */
#if __ISO_C_VISIBLE >= 1999
#if 0
extern long double acosl(long double);
extern long double asinl(long double);
extern long double atanl(long double);
extern long double atan2l(long double, long double);
extern long double cosl(long double);
extern long double sinl(long double);
extern long double tanl(long double);

extern long double acoshl(long double);
extern long double asinhl(long double);
extern long double atanhl(long double);
extern long double coshl(long double);
extern long double sinhl(long double);
extern long double tanhl(long double);

extern long double expl(long double);
extern long double exp2l(long double);
extern long double expm1l(long double);
extern long double frexpl(long double, int *);
extern int ilogbl(long double);
extern long double ldexpl(long double, int);
extern long double logl(long double);
extern long double log10l(long double);
extern long double log1pl(long double);
extern long double log2l(long double);
extern long double logbl(long double);
extern long double modfl(long double, long double *);
extern long double scalbnl(long double, int);
extern long double scalblnl(long double, long int);

extern long double cbrtl(long double);
extern long double fabsl(long double);
extern long double hypotl(long double, long double);
extern long double powl(long double, long double);
extern long double sqrtl(long double);

extern long double erfl(long double);
extern long double erfcl(long double);
extern long double lgammal(long double);
extern long double tgammal(long double);

extern long double ceill(long double);
extern long double floorl(long double);
extern long double nearbyintl(long double);
extern long double rintl(long double);
extern long int lrintl(long double);
extern long long int llrintl(long double);
extern long double roundl(long double);
extern long int lroundl(long double);
extern long long int llroundl(long double);
extern long double truncl(long double);

extern long double fmodl(long double, long double);
extern long double remainderl(long double, long double);
extern long double remquol(long double, long double, int *);

extern long double copysignl(long double, long double);
extern long double nanl(const char *);
extern long double nextafterl(long double, long double);
extern long double nexttowardl(long double, long double);

extern long double fdiml(long double, long double);
extern long double fmaxl(long double, long double);
extern long double fminl(long double, long double);

extern long double fmal(long double, long double, long double);
#endif
#endif /* __ISO_C_VISIBLE >= 1999 */

/*
 * Library implementation
 */
extern int __fpclassify(double);
extern int __fpclassifyf(float);
extern int __fpclassifyl(long double);
extern int __isfinite(double);
extern int __isfinitef(float);
extern int __isfinitel(long double);
extern int __isinf(double);
extern int __isinfl(long double);
extern int __isnan(double);
extern int __isnanl(long double);
extern int __isnormal(double);
extern int __isnormalf(float);
extern int __isnormall(long double);
extern int __signbit(double);
extern int __signbitf(float);
extern int __signbitl(long double);

#if __BSD_VISIBLE && defined(__vax__)
extern double infnan(int);
#endif /* __BSD_VISIBLE && defined(__vax__) */
__END_DECLS

#endif /* !_MATH_H_ */