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+/* $OpenBSD: math.h,v 1.36 2018/03/10 20:52:58 kettenis 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/limits.h>
+
+__BEGIN_DECLS
+/*
+ * ANSI/POSIX
+ */
+extern char __infinity[];
+#if __GNUC_PREREQ__(3, 3)
+#define HUGE_VAL __builtin_huge_val()
+#else /* __GNUC_PREREQ__(3, 3) */
+#define HUGE_VAL (*(double *)(void *)__infinity)
+#endif /* __GNUC_PREREQ__(3, 3) */
+
+/*
+ * C99
+ */
+#if __ISO_C_VISIBLE >= 1999
+typedef __double_t double_t;
+typedef __float_t float_t;
+
+#if __GNUC_PREREQ__(3, 3)
+#define HUGE_VALF __builtin_huge_valf()
+#define HUGE_VALL __builtin_huge_vall()
+#define INFINITY __builtin_inff()
+#define NAN __builtin_nanf("")
+#else /* __GNUC_PREREQ__(3, 3) */
+#define HUGE_VALF ((float)HUGE_VAL)
+#define HUGE_VALL ((long double)HUGE_VAL)
+#define INFINITY HUGE_VALF
+extern char __nan[];
+#define NAN (*(float *)(void *)__nan)
+#endif /* __GNUC_PREREQ__(3, 3) */
+
+#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
+
+#ifdef __FP_FAST_FMA
+#define FP_FAST_FMA 1
+#endif /* __FP_FAST_FMA */
+
+#ifdef __FP_FAST_FMAF
+#define FP_FAST_FMAF 1
+#endif /* __FP_FAST_FMAF */
+
+#ifdef __FP_FAST_FMAL
+#define FP_FAST_FMAL 1
+#endif /* __FP_FAST_FMAL */
+
+#define MATH_ERRNO 1
+#define MATH_ERREXCEPT 2
+#define math_errhandling MATH_ERREXCEPT
+
+#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 ((double)2.7182818284590452354) /* e */
+#define M_LOG2E ((double)1.4426950408889634074) /* log 2e */
+#define M_LOG10E ((double)0.43429448190325182765) /* log 10e */
+#define M_LN2 ((double)0.69314718055994530942) /* log e2 */
+#define M_LN10 ((double)2.30258509299404568402) /* log e10 */
+#define M_PI ((double)3.14159265358979323846) /* pi */
+#define M_PI_2 ((double)1.57079632679489661923) /* pi/2 */
+#define M_PI_4 ((double)0.78539816339744830962) /* pi/4 */
+#define M_1_PI ((double)0.31830988618379067154) /* 1/pi */
+#define M_2_PI ((double)0.63661977236758134308) /* 2/pi */
+#define M_2_SQRTPI ((double)1.12837916709551257390) /* 2/sqrt(pi) */
+#define M_SQRT2 ((double)1.41421356237309504880) /* sqrt(2) */
+#define M_SQRT1_2 ((double)0.70710678118654752440) /* 1/sqrt(2) */
+
+#define MAXFLOAT ((float)3.40282346638528860e+38)
+
+extern int signgam;
+#endif /* __BSD_VISIBLE || __XPG_VISIBLE */
+
+#if __POSIX_VISIBLE >= 201403
+#define M_El 2.718281828459045235360287471352662498L /* e */
+#define M_LOG2El 1.442695040888963407359924681001892137L /* log 2e */
+#define M_LOG10El 0.434294481903251827651128918916605082L /* log 10e */
+#define M_LN2l 0.693147180559945309417232121458176568L /* log e2 */
+#define M_LN10l 2.302585092994045684017991454684364208L /* log e10 */
+#define M_PIl 3.141592653589793238462643383279502884L /* pi */
+#define M_PI_2l 1.570796326794896619231321691639751442L /* pi/2 */
+#define M_PI_4l 0.785398163397448309615660845819875721L /* pi/4 */
+#define M_1_PIl 0.318309886183790671537767526745028724L /* 1/pi */
+#define M_2_PIl 0.636619772367581343075535053490057448L /* 2/pi */
+#define M_2_SQRTPIl 1.128379167095512573896158903121545172L /* 2/sqrt(pi) */
+#define M_SQRT2l 1.414213562373095048801688724209698079L /* sqrt(2) */
+#define M_SQRT1_2l 0.707106781186547524400844362104849039L /* 1/sqrt(2) */
+#endif /* __POSIX_VISIBLE >= 201403 */
+
+#if __BSD_VISIBLE
+#define HUGE MAXFLOAT
+#endif /* __BSD_VISIBLE */
+
+/*
+ * ANSI/POSIX
+ */
+double acos(double);
+double asin(double);
+double atan(double);
+double atan2(double, double);
+double cos(double);
+double sin(double);
+double tan(double);
+
+double cosh(double);
+double sinh(double);
+double tanh(double);
+
+double exp(double);
+double frexp(double, int *);
+double ldexp(double, int);
+double log(double);
+double log10(double);
+double modf(double, double *);
+
+double pow(double, double);
+double sqrt(double);
+
+double ceil(double);
+double fabs(double);
+double floor(double);
+double fmod(double, double);
+
+/*
+ * C99
+ */
+#if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XPG_VISIBLE
+double acosh(double);
+double asinh(double);
+double atanh(double);
+
+double exp2(double);
+double expm1(double);
+int ilogb(double);
+double log1p(double);
+double log2(double);
+double logb(double);
+double scalbn(double, int);
+double scalbln(double, long int);
+
+double cbrt(double);
+double hypot(double, double);
+
+double erf(double);
+double erfc(double);
+double lgamma(double);
+double tgamma(double);
+
+double nearbyint(double);
+double rint(double);
+long int lrint(double);
+long long int llrint(double);
+double round(double);
+long int lround(double);
+long long int llround(double);
+double trunc(double);
+
+double remainder(double, double);
+double remquo(double, double, int *);
+
+double copysign(double, double);
+double nan(const char *);
+double nextafter(double, double);
+double nexttoward(double, long double);
+
+double fdim(double, double);
+double fmax(double, double);
+double fmin(double, double);
+
+double fma(double, double, double);
+#endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XPG_VISIBLE */
+
+#if __BSD_VISIBLE || __XPG_VISIBLE
+double j0(double);
+double j1(double);
+double jn(int, double);
+double scalb(double, double);
+double y0(double);
+double y1(double);
+double yn(int, double);
+#endif /* __BSD_VISIBLE || __XPG_VISIBLE */
+
+#if __BSD_VISIBLE || __XPG_VISIBLE <= 500
+double gamma(double);
+#endif /* __BSD_VISIBLE || __XPG_VISIBLE <= 500 */
+
+/*
+ * BSD math library entry points
+ */
+#if __BSD_VISIBLE
+double drem(double, double);
+int finite(double);
+
+/*
+ * Reentrant version of gamma & lgamma; passes signgam back by reference
+ * as the second argument; user must allocate space for signgam.
+ */
+double gamma_r(double, int *);
+double lgamma_r(double, int *);
+
+void sincos(double, double *, double *);
+
+/*
+ * IEEE Test Vector
+ */
+double significand(double);
+#endif /* __BSD_VISIBLE */
+
+/*
+ * Float versions of C99 functions
+ */
+#if __ISO_C_VISIBLE >= 1999
+float acosf(float);
+float asinf(float);
+float atanf(float);
+float atan2f(float, float);
+float cosf(float);
+float sinf(float);
+float tanf(float);
+
+float acoshf(float);
+float asinhf(float);
+float atanhf(float);
+float coshf(float);
+float sinhf(float);
+float tanhf(float);
+
+float expf(float);
+float exp2f(float);
+float expm1f(float);
+float frexpf(float, int *);
+int ilogbf(float);
+float ldexpf(float, int);
+float logf(float);
+float log10f(float);
+float log1pf(float);
+float log2f(float);
+float logbf(float);
+float modff(float, float *);
+float scalbnf(float, int);
+float scalblnf(float, long int);
+
+float cbrtf(float);
+float fabsf(float);
+float hypotf(float, float);
+float powf(float, float);
+float sqrtf(float);
+
+float erff(float);
+float erfcf(float);
+float lgammaf(float);
+float tgammaf(float);
+
+float ceilf(float);
+float floorf(float);
+float nearbyintf(float);
+float rintf(float);
+long int lrintf(float);
+long long int llrintf(float);
+float roundf(float);
+long int lroundf(float);
+long long int llroundf(float);
+float truncf(float);
+
+float fmodf(float, float);
+float remainderf(float, float);
+float remquof(float, float, int *);
+
+float copysignf(float, float);
+float nanf(const char *);
+float nextafterf(float, float);
+float nexttowardf(float, long double);
+
+float fdimf(float, float);
+float fmaxf(float, float);
+float fminf(float, float);
+
+float fmaf(float, float, float);
+#endif /* __ISO_C_VISIBLE >= 1999 */
+
+#if __BSD_VISIBLE || __XPG_VISIBLE
+float j0f(float);
+float j1f(float);
+float jnf(int, float);
+float scalbf(float, float);
+float y0f(float);
+float y1f(float);
+float ynf(int, float);
+#endif /* __BSD_VISIBLE || __XPG_VISIBLE */
+
+#if __BSD_VISIBLE || __XPG_VISIBLE <= 500
+float gammaf(float);
+#endif /* __BSD_VISIBLE || __XPG_VISIBLE <= 500 */
+
+/*
+ * Float versions of BSD math library entry points
+ */
+#if __BSD_VISIBLE
+float dremf(float, float);
+int finitef(float);
+int isinff(float);
+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.
+ */
+float gammaf_r(float, int *);
+float lgammaf_r(float, int *);
+
+void sincosf(float, float *, float *);
+
+/*
+ * Float version of IEEE Test Vector
+ */
+float significandf(float);
+#endif /* __BSD_VISIBLE */
+
+/*
+ * Long double versions of C99 functions
+ */
+#if __ISO_C_VISIBLE >= 1999
+long double acosl(long double);
+long double asinl(long double);
+long double atanl(long double);
+long double atan2l(long double, long double);
+long double cosl(long double);
+long double sinl(long double);
+long double tanl(long double);
+
+long double acoshl(long double);
+long double asinhl(long double);
+long double atanhl(long double);
+long double coshl(long double);
+long double sinhl(long double);
+long double tanhl(long double);
+
+long double expl(long double);
+long double exp2l(long double);
+long double expm1l(long double);
+long double frexpl(long double, int *);
+int ilogbl(long double);
+long double ldexpl(long double, int);
+long double logl(long double);
+long double log10l(long double);
+long double log1pl(long double);
+long double log2l(long double);
+long double logbl(long double);
+long double modfl(long double, long double *);
+long double scalbnl(long double, int);
+long double scalblnl(long double, long int);
+
+long double cbrtl(long double);
+long double fabsl(long double);
+long double hypotl(long double, long double);
+long double powl(long double, long double);
+long double sqrtl(long double);
+
+long double erfl(long double);
+long double erfcl(long double);
+long double lgammal(long double);
+long double tgammal(long double);
+
+long double ceill(long double);
+long double floorl(long double);
+long double nearbyintl(long double);
+long double rintl(long double);
+long int lrintl(long double);
+long long int llrintl(long double);
+long double roundl(long double);
+long int lroundl(long double);
+long long int llroundl(long double);
+long double truncl(long double);
+
+long double fmodl(long double, long double);
+long double remainderl(long double, long double);
+long double remquol(long double, long double, int *);
+
+long double copysignl(long double, long double);
+long double nanl(const char *);
+long double nextafterl(long double, long double);
+long double nexttowardl(long double, long double);
+
+long double fdiml(long double, long double);
+long double fmaxl(long double, long double);
+long double fminl(long double, long double);
+
+long double fmal(long double, long double, long double);
+#endif /* __ISO_C_VISIBLE >= 1999 */
+
+/*
+ * 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_ */