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/* $OpenBSD: math.h,v 1.36 2018/03/10 20:52:58 kettenis Exp $ */
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/*
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* ====================================================
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* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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*
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* Developed at SunPro, a Sun Microsystems, Inc. business.
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* Permission to use, copy, modify, and distribute this
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* software is freely granted, provided that this notice
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* is preserved.
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* ====================================================
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*/
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/*
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* from: @(#)fdlibm.h 5.1 93/09/24
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*/
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#ifndef _MATH_H_
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#define _MATH_H_
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#include <sys/_types.h>
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#include <sys/limits.h>
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__BEGIN_DECLS
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/*
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* ANSI/POSIX
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*/
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extern char __infinity[];
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#if __GNUC_PREREQ__(3, 3)
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#define HUGE_VAL __builtin_huge_val()
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#else /* __GNUC_PREREQ__(3, 3) */
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#define HUGE_VAL (*(double *)(void *)__infinity)
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#endif /* __GNUC_PREREQ__(3, 3) */
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/*
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* C99
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*/
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#if __ISO_C_VISIBLE >= 1999
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typedef __double_t double_t;
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typedef __float_t float_t;
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#if __GNUC_PREREQ__(3, 3)
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#define HUGE_VALF __builtin_huge_valf()
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#define HUGE_VALL __builtin_huge_vall()
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#define INFINITY __builtin_inff()
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#define NAN __builtin_nanf("")
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#else /* __GNUC_PREREQ__(3, 3) */
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#define HUGE_VALF ((float)HUGE_VAL)
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#define HUGE_VALL ((long double)HUGE_VAL)
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#define INFINITY HUGE_VALF
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extern char __nan[];
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#define NAN (*(float *)(void *)__nan)
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#endif /* __GNUC_PREREQ__(3, 3) */
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#define FP_INFINITE 0x01
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#define FP_NAN 0x02
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#define FP_NORMAL 0x04
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#define FP_SUBNORMAL 0x08
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#define FP_ZERO 0x10
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#define FP_ILOGB0 (-INT_MAX)
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#define FP_ILOGBNAN INT_MAX
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#ifdef __FP_FAST_FMA
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#define FP_FAST_FMA 1
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#endif /* __FP_FAST_FMA */
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#ifdef __FP_FAST_FMAF
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#define FP_FAST_FMAF 1
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#endif /* __FP_FAST_FMAF */
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#ifdef __FP_FAST_FMAL
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#define FP_FAST_FMAL 1
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#endif /* __FP_FAST_FMAL */
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#define MATH_ERRNO 1
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#define MATH_ERREXCEPT 2
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#define math_errhandling MATH_ERREXCEPT
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#define fpclassify(x) \
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((sizeof (x) == sizeof (float)) ? \
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__fpclassifyf(x) \
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: (sizeof (x) == sizeof (double)) ? \
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__fpclassify(x) \
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: __fpclassifyl(x))
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#define isfinite(x) \
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((sizeof (x) == sizeof (float)) ? \
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__isfinitef(x) \
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: (sizeof (x) == sizeof (double)) ? \
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__isfinite(x) \
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: __isfinitel(x))
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#define isnormal(x) \
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((sizeof (x) == sizeof (float)) ? \
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__isnormalf(x) \
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: (sizeof (x) == sizeof (double)) ? \
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__isnormal(x) \
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: __isnormall(x))
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#define signbit(x) \
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((sizeof (x) == sizeof (float)) ? \
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__signbitf(x) \
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: (sizeof (x) == sizeof (double)) ? \
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__signbit(x) \
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: __signbitl(x))
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#define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y))
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#define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y))
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#define isless(x, y) (!isunordered((x), (y)) && (x) < (y))
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#define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y))
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#define islessgreater(x, y) (!isunordered((x), (y)) && \
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((x) > (y) || (y) > (x)))
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#define isunordered(x, y) (isnan(x) || isnan(y))
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#endif /* __ISO_C_VISIBLE >= 1999 */
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#define isinf(x) \
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((sizeof (x) == sizeof (float)) ? \
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__isinff(x) \
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: (sizeof (x) == sizeof (double)) ? \
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__isinf(x) \
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: __isinfl(x))
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#define isnan(x) \
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((sizeof (x) == sizeof (float)) ? \
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__isnanf(x) \
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: (sizeof (x) == sizeof (double)) ? \
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__isnan(x) \
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: __isnanl(x))
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/*
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* XOPEN/SVID
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*/
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#if __BSD_VISIBLE || __XPG_VISIBLE
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#define M_E ((double)2.7182818284590452354) /* e */
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#define M_LOG2E ((double)1.4426950408889634074) /* log 2e */
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#define M_LOG10E ((double)0.43429448190325182765) /* log 10e */
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#define M_LN2 ((double)0.69314718055994530942) /* log e2 */
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#define M_LN10 ((double)2.30258509299404568402) /* log e10 */
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#define M_PI ((double)3.14159265358979323846) /* pi */
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#define M_PI_2 ((double)1.57079632679489661923) /* pi/2 */
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#define M_PI_4 ((double)0.78539816339744830962) /* pi/4 */
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#define M_1_PI ((double)0.31830988618379067154) /* 1/pi */
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#define M_2_PI ((double)0.63661977236758134308) /* 2/pi */
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#define M_2_SQRTPI ((double)1.12837916709551257390) /* 2/sqrt(pi) */
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#define M_SQRT2 ((double)1.41421356237309504880) /* sqrt(2) */
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#define M_SQRT1_2 ((double)0.70710678118654752440) /* 1/sqrt(2) */
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#define MAXFLOAT ((float)3.40282346638528860e+38)
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extern int signgam;
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#endif /* __BSD_VISIBLE || __XPG_VISIBLE */
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#if __POSIX_VISIBLE >= 201403
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#define M_El 2.718281828459045235360287471352662498L /* e */
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#define M_LOG2El 1.442695040888963407359924681001892137L /* log 2e */
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#define M_LOG10El 0.434294481903251827651128918916605082L /* log 10e */
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#define M_LN2l 0.693147180559945309417232121458176568L /* log e2 */
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#define M_LN10l 2.302585092994045684017991454684364208L /* log e10 */
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#define M_PIl 3.141592653589793238462643383279502884L /* pi */
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#define M_PI_2l 1.570796326794896619231321691639751442L /* pi/2 */
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#define M_PI_4l 0.785398163397448309615660845819875721L /* pi/4 */
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#define M_1_PIl 0.318309886183790671537767526745028724L /* 1/pi */
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#define M_2_PIl 0.636619772367581343075535053490057448L /* 2/pi */
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#define M_2_SQRTPIl 1.128379167095512573896158903121545172L /* 2/sqrt(pi) */
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#define M_SQRT2l 1.414213562373095048801688724209698079L /* sqrt(2) */
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#define M_SQRT1_2l 0.707106781186547524400844362104849039L /* 1/sqrt(2) */
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#endif /* __POSIX_VISIBLE >= 201403 */
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#if __BSD_VISIBLE
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#define HUGE MAXFLOAT
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#endif /* __BSD_VISIBLE */
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/*
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* ANSI/POSIX
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*/
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double acos(double);
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double asin(double);
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double atan(double);
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double atan2(double, double);
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double cos(double);
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double sin(double);
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double tan(double);
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double cosh(double);
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double sinh(double);
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double tanh(double);
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double exp(double);
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double frexp(double, int *);
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double ldexp(double, int);
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double log(double);
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double log10(double);
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double modf(double, double *);
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double pow(double, double);
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double sqrt(double);
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double ceil(double);
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double fabs(double);
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double floor(double);
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double fmod(double, double);
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/*
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* C99
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*/
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#if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XPG_VISIBLE
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double acosh(double);
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double asinh(double);
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double atanh(double);
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double exp2(double);
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double expm1(double);
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int ilogb(double);
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double log1p(double);
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double log2(double);
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double logb(double);
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double scalbn(double, int);
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double scalbln(double, long int);
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double cbrt(double);
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double hypot(double, double);
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double erf(double);
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double erfc(double);
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double lgamma(double);
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double tgamma(double);
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double nearbyint(double);
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double rint(double);
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long int lrint(double);
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long long int llrint(double);
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double round(double);
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long int lround(double);
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long long int llround(double);
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double trunc(double);
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double remainder(double, double);
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double remquo(double, double, int *);
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double copysign(double, double);
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double nan(const char *);
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double nextafter(double, double);
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double nexttoward(double, long double);
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double fdim(double, double);
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double fmax(double, double);
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double fmin(double, double);
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double fma(double, double, double);
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#endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XPG_VISIBLE */
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#if __BSD_VISIBLE || __XPG_VISIBLE
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double j0(double);
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double j1(double);
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double jn(int, double);
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double scalb(double, double);
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double y0(double);
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double y1(double);
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double yn(int, double);
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#endif /* __BSD_VISIBLE || __XPG_VISIBLE */
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#if __BSD_VISIBLE || __XPG_VISIBLE <= 500
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double gamma(double);
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#endif /* __BSD_VISIBLE || __XPG_VISIBLE <= 500 */
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/*
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* BSD math library entry points
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*/
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#if __BSD_VISIBLE
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double drem(double, double);
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int finite(double);
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/*
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* Reentrant version of gamma & lgamma; passes signgam back by reference
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* as the second argument; user must allocate space for signgam.
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*/
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double gamma_r(double, int *);
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double lgamma_r(double, int *);
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void sincos(double, double *, double *);
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/*
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* IEEE Test Vector
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*/
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double significand(double);
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#endif /* __BSD_VISIBLE */
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/*
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* Float versions of C99 functions
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*/
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#if __ISO_C_VISIBLE >= 1999
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float acosf(float);
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float asinf(float);
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float atanf(float);
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float atan2f(float, float);
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float cosf(float);
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float sinf(float);
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float tanf(float);
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float acoshf(float);
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float asinhf(float);
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float atanhf(float);
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float coshf(float);
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float sinhf(float);
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float tanhf(float);
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float expf(float);
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float exp2f(float);
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float expm1f(float);
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float frexpf(float, int *);
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int ilogbf(float);
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float ldexpf(float, int);
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float logf(float);
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float log10f(float);
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float log1pf(float);
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float log2f(float);
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float logbf(float);
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float modff(float, float *);
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float scalbnf(float, int);
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float scalblnf(float, long int);
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float cbrtf(float);
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float fabsf(float);
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float hypotf(float, float);
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float powf(float, float);
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float sqrtf(float);
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float erff(float);
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float erfcf(float);
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float lgammaf(float);
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float tgammaf(float);
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float ceilf(float);
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float floorf(float);
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float nearbyintf(float);
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float rintf(float);
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long int lrintf(float);
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long long int llrintf(float);
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float roundf(float);
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long int lroundf(float);
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long long int llroundf(float);
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float truncf(float);
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float fmodf(float, float);
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float remainderf(float, float);
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float remquof(float, float, int *);
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float copysignf(float, float);
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float nanf(const char *);
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float nextafterf(float, float);
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float nexttowardf(float, long double);
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float fdimf(float, float);
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float fmaxf(float, float);
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float fminf(float, float);
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float fmaf(float, float, float);
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#endif /* __ISO_C_VISIBLE >= 1999 */
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#if __BSD_VISIBLE || __XPG_VISIBLE
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float j0f(float);
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float j1f(float);
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float jnf(int, float);
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float scalbf(float, float);
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float y0f(float);
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float y1f(float);
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float ynf(int, float);
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#endif /* __BSD_VISIBLE || __XPG_VISIBLE */
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#if __BSD_VISIBLE || __XPG_VISIBLE <= 500
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float gammaf(float);
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#endif /* __BSD_VISIBLE || __XPG_VISIBLE <= 500 */
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/*
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* Float versions of BSD math library entry points
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*/
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#if __BSD_VISIBLE
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float dremf(float, float);
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int finitef(float);
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int isinff(float);
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int isnanf(float);
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/*
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* Float versions of reentrant version of gamma & lgamma; passes
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* signgam back by reference as the second argument; user must
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* allocate space for signgam.
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*/
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float gammaf_r(float, int *);
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float lgammaf_r(float, int *);
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void sincosf(float, float *, float *);
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/*
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* Float version of IEEE Test Vector
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*/
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float significandf(float);
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#endif /* __BSD_VISIBLE */
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/*
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* Long double versions of C99 functions
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*/
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#if __ISO_C_VISIBLE >= 1999
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long double acosl(long double);
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long double asinl(long double);
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long double atanl(long double);
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long double atan2l(long double, long double);
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long double cosl(long double);
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long double sinl(long double);
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long double tanl(long double);
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long double acoshl(long double);
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long double asinhl(long double);
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long double atanhl(long double);
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long double coshl(long double);
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long double sinhl(long double);
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long double tanhl(long double);
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long double expl(long double);
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long double exp2l(long double);
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long double expm1l(long double);
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long double frexpl(long double, int *);
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int ilogbl(long double);
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long double ldexpl(long double, int);
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long double logl(long double);
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long double log10l(long double);
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long double log1pl(long double);
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long double log2l(long double);
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long double logbl(long double);
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long double modfl(long double, long double *);
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|
long double scalbnl(long double, int);
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long double scalblnl(long double, long int);
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long double cbrtl(long double);
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|
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long double fabsl(long double);
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|
long double hypotl(long double, long double);
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|
long double powl(long double, long double);
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long double sqrtl(long double);
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|
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long double erfl(long double);
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|
long double erfcl(long double);
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|
|
long double lgammal(long double);
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|
long double tgammal(long double);
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|
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|
|
long double ceill(long double);
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|
|
long double floorl(long double);
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|
|
long double nearbyintl(long double);
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|
|
long double rintl(long double);
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|
|
long int lrintl(long double);
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|
|
long long int llrintl(long double);
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|
|
long double roundl(long double);
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|
|
long int lroundl(long double);
|
|
|
long long int llroundl(long double);
|
|
|
long double truncl(long double);
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|
|
|
|
|
long double fmodl(long double, long double);
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|
|
long double remainderl(long double, long double);
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|
|
long double remquol(long double, long double, int *);
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|
|
|
|
long double copysignl(long double, long double);
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|
|
long double nanl(const char *);
|
|
|
long double nextafterl(long double, long double);
|
|
|
long double nexttowardl(long double, long double);
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|
|
|
|
|
long double fdiml(long double, long double);
|
|
|
long double fmaxl(long double, long double);
|
|
|
long double fminl(long double, long double);
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|
|
|
|
long double fmal(long double, long double, long double);
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|
|
#endif /* __ISO_C_VISIBLE >= 1999 */
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|
|
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|
|
/*
|
|
|
* Long double versions of BSD math library entry points
|
|
|
*/
|
|
|
#if __BSD_VISIBLE
|
|
|
void sincosl(long double, long double *, long double *);
|
|
|
#endif
|
|
|
|
|
|
/*
|
|
|
* Library implementation
|
|
|
*/
|
|
|
int __fpclassify(double);
|
|
|
int __fpclassifyf(float);
|
|
|
int __fpclassifyl(long double);
|
|
|
int __isfinite(double);
|
|
|
int __isfinitef(float);
|
|
|
int __isfinitel(long double);
|
|
|
int __isinf(double);
|
|
|
int __isinff(float);
|
|
|
int __isinfl(long double);
|
|
|
int __isnan(double);
|
|
|
int __isnanf(float);
|
|
|
int __isnanl(long double);
|
|
|
int __isnormal(double);
|
|
|
int __isnormalf(float);
|
|
|
int __isnormall(long double);
|
|
|
int __signbit(double);
|
|
|
int __signbitf(float);
|
|
|
int __signbitl(long double);
|
|
|
__END_DECLS
|
|
|
|
|
|
#endif /* !_MATH_H_ */
|