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+/*
+ * ====================================================
+ * 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
+ * $FreeBSD$
+ */
+
+#ifndef _MATH_H_
+#define _MATH_H_
+
+#include <sys/cdefs.h>
+#include <sys/_types.h>
+#include <machine/_limits.h>
+
+/*
+ * ANSI/POSIX
+ */
+extern const union __infinity_un {
+ unsigned char __uc[8];
+ double __ud;
+} __infinity;
+
+extern const union __nan_un {
+ unsigned char __uc[sizeof(float)];
+ float __uf;
+} __nan;
+
+#if __GNUC_PREREQ__(3, 3) || (defined(__INTEL_COMPILER) && __INTEL_COMPILER >= 800)
+#define __MATH_BUILTIN_CONSTANTS
+#endif
+
+#if __GNUC_PREREQ__(3, 0) && !defined(__INTEL_COMPILER)
+#define __MATH_BUILTIN_RELOPS
+#endif
+
+#ifdef __MATH_BUILTIN_CONSTANTS
+#define HUGE_VAL __builtin_huge_val()
+#else
+#define HUGE_VAL (__infinity.__ud)
+#endif
+
+#if __ISO_C_VISIBLE >= 1999
+#define FP_ILOGB0 (-__INT_MAX)
+#define FP_ILOGBNAN __INT_MAX
+
+#ifdef __MATH_BUILTIN_CONSTANTS
+#define HUGE_VALF __builtin_huge_valf()
+#define HUGE_VALL __builtin_huge_vall()
+#define INFINITY __builtin_inff()
+#define NAN __builtin_nanf("")
+#else
+#define HUGE_VALF (float)HUGE_VAL
+#define HUGE_VALL (long double)HUGE_VAL
+#define INFINITY HUGE_VALF
+#define NAN (__nan.__uf)
+#endif /* __MATH_BUILTIN_CONSTANTS */
+
+#define MATH_ERRNO 1
+#define MATH_ERREXCEPT 2
+#define math_errhandling MATH_ERREXCEPT
+
+#define FP_FAST_FMAF 1
+
+/* Symbolic constants to classify floating point numbers. */
+#define FP_INFINITE 0x01
+#define FP_NAN 0x02
+#define FP_NORMAL 0x04
+#define FP_SUBNORMAL 0x08
+#define FP_ZERO 0x10
+
+#if (__STDC_VERSION__ >= 201112L && defined(__clang__)) || \
+ __has_extension(c_generic_selections)
+#define __fp_type_select(x, f, d, ld) _Generic((x), \
+ float: f(x), \
+ double: d(x), \
+ long double: ld(x), \
+ volatile float: f(x), \
+ volatile double: d(x), \
+ volatile long double: ld(x), \
+ volatile const float: f(x), \
+ volatile const double: d(x), \
+ volatile const long double: ld(x), \
+ const float: f(x), \
+ const double: d(x), \
+ const long double: ld(x))
+#elif __GNUC_PREREQ__(3, 1) && !defined(__cplusplus)
+#define __fp_type_select(x, f, d, ld) __builtin_choose_expr( \
+ __builtin_types_compatible_p(__typeof(x), long double), ld(x), \
+ __builtin_choose_expr( \
+ __builtin_types_compatible_p(__typeof(x), double), d(x), \
+ __builtin_choose_expr( \
+ __builtin_types_compatible_p(__typeof(x), float), f(x), (void)0)))
+#else
+#define __fp_type_select(x, f, d, ld) \
+ ((sizeof(x) == sizeof(float)) ? f(x) \
+ : (sizeof(x) == sizeof(double)) ? d(x) \
+ : ld(x))
+#endif
+
+#define fpclassify(x) \
+ __fp_type_select(x, __fpclassifyf, __fpclassifyd, __fpclassifyl)
+#define isfinite(x) __fp_type_select(x, __isfinitef, __isfinite, __isfinitel)
+#define isinf(x) __fp_type_select(x, __isinff, __isinf, __isinfl)
+#define isnan(x) \
+ __fp_type_select(x, __inline_isnanf, __inline_isnan, __inline_isnanl)
+#define isnormal(x) __fp_type_select(x, __isnormalf, __isnormal, __isnormall)
+
+#ifdef __MATH_BUILTIN_RELOPS
+#define isgreater(x, y) __builtin_isgreater((x), (y))
+#define isgreaterequal(x, y) __builtin_isgreaterequal((x), (y))
+#define isless(x, y) __builtin_isless((x), (y))
+#define islessequal(x, y) __builtin_islessequal((x), (y))
+#define islessgreater(x, y) __builtin_islessgreater((x), (y))
+#define isunordered(x, y) __builtin_isunordered((x), (y))
+#else
+#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 /* __MATH_BUILTIN_RELOPS */
+
+#define signbit(x) __fp_type_select(x, __signbitf, __signbit, __signbitl)
+
+typedef __double_t double_t;
+typedef __float_t float_t;
+#endif /* __ISO_C_VISIBLE >= 1999 */
+
+/*
+ * XOPEN/SVID
+ */
+#if __BSD_VISIBLE || __XSI_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) */
+
+#define MAXFLOAT ((float)3.40282346638528860e+38)
+extern int signgam;
+#endif /* __BSD_VISIBLE || __XSI_VISIBLE */
+
+#if __BSD_VISIBLE
+#if 0
+/* Old value from 4.4BSD-Lite math.h; this is probably better. */
+#define HUGE HUGE_VAL
+#else
+#define HUGE MAXFLOAT
+#endif
+#endif /* __BSD_VISIBLE */
+
+/*
+ * Most of these functions depend on the rounding mode and have the side
+ * effect of raising floating-point exceptions, so they are not declared
+ * as __pure2. In C99, FENV_ACCESS affects the purity of these functions.
+ */
+__BEGIN_DECLS
+/*
+ * ANSI/POSIX
+ */
+int __fpclassifyd(double) __pure2;
+int __fpclassifyf(float) __pure2;
+int __fpclassifyl(long double) __pure2;
+int __isfinitef(float) __pure2;
+int __isfinite(double) __pure2;
+int __isfinitel(long double) __pure2;
+int __isinff(float) __pure2;
+int __isinf(double) __pure2;
+int __isinfl(long double) __pure2;
+int __isnormalf(float) __pure2;
+int __isnormal(double) __pure2;
+int __isnormall(long double) __pure2;
+int __signbit(double) __pure2;
+int __signbitf(float) __pure2;
+int __signbitl(long double) __pure2;
+
+static __inline int
+__inline_isnan(__const double __x)
+{
+
+ return (__x != __x);
+}
+
+static __inline int
+__inline_isnanf(__const float __x)
+{
+
+ return (__x != __x);
+}
+
+static __inline int
+__inline_isnanl(__const long double __x)
+{
+
+ return (__x != __x);
+}
+
+/*
+ * Version 2 of the Single UNIX Specification (UNIX98) defined isnan() and
+ * isinf() as functions taking double. C99, and the subsequent POSIX revisions
+ * (SUSv3, POSIX.1-2001, define it as a macro that accepts any real floating
+ * point type. If we are targeting SUSv2 and C99 or C11 (or C++11) then we
+ * expose the newer definition, assuming that the language spec takes
+ * precedence over the operating system interface spec.
+ */
+#if __XSI_VISIBLE > 0 && __XSI_VISIBLE < 600 && __ISO_C_VISIBLE < 1999
+#undef isinf
+#undef isnan
+int isinf(double);
+int isnan(double);
+#endif
+
+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 *); /* fundamentally !__pure2 */
+double ldexp(double, int);
+double log(double);
+double log10(double);
+double modf(double, double *); /* fundamentally !__pure2 */
+
+double pow(double, double);
+double sqrt(double);
+
+double ceil(double);
+double fabs(double) __pure2;
+double floor(double);
+double fmod(double, double);
+
+/*
+ * These functions are not in C90.
+ */
+#if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE
+double acosh(double);
+double asinh(double);
+double atanh(double);
+double cbrt(double);
+double erf(double);
+double erfc(double);
+double exp2(double);
+double expm1(double);
+double fma(double, double, double);
+double hypot(double, double);
+int ilogb(double) __pure2;
+double lgamma(double);
+long long llrint(double);
+long long llround(double);
+double log1p(double);
+double log2(double);
+double logb(double);
+long lrint(double);
+long lround(double);
+double nan(const char *) __pure2;
+double nextafter(double, double);
+double remainder(double, double);
+double remquo(double, double, int *);
+double rint(double);
+#endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */
+
+#if __BSD_VISIBLE || __XSI_VISIBLE
+double j0(double);
+double j1(double);
+double jn(int, double);
+double y0(double);
+double y1(double);
+double yn(int, double);
+
+#if __XSI_VISIBLE <= 500 || __BSD_VISIBLE
+double gamma(double);
+#endif
+
+#if __XSI_VISIBLE <= 600 || __BSD_VISIBLE
+double scalb(double, double);
+#endif
+#endif /* __BSD_VISIBLE || __XSI_VISIBLE */
+
+#if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999
+double copysign(double, double) __pure2;
+double fdim(double, double);
+double fmax(double, double) __pure2;
+double fmin(double, double) __pure2;
+double nearbyint(double);
+double round(double);
+double scalbln(double, long);
+double scalbn(double, int);
+double tgamma(double);
+double trunc(double);
+#endif
+
+/*
+ * BSD math library entry points
+ */
+#if __BSD_VISIBLE
+double drem(double, double);
+int finite(double) __pure2;
+int isnanf(float) __pure2;
+
+/*
+ * 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 *);
+
+/*
+ * IEEE Test Vector
+ */
+double significand(double);
+#endif /* __BSD_VISIBLE */
+
+/* float versions of ANSI/POSIX 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 coshf(float);
+float sinhf(float);
+float tanhf(float);
+
+float exp2f(float);
+float expf(float);
+float expm1f(float);
+float frexpf(float, int *); /* fundamentally !__pure2 */
+int ilogbf(float) __pure2;
+float ldexpf(float, int);
+float log10f(float);
+float log1pf(float);
+float log2f(float);
+float logf(float);
+float modff(float, float *); /* fundamentally !__pure2 */
+
+float powf(float, float);
+float sqrtf(float);
+
+float ceilf(float);
+float fabsf(float) __pure2;
+float floorf(float);
+float fmodf(float, float);
+float roundf(float);
+
+float erff(float);
+float erfcf(float);
+float hypotf(float, float);
+float lgammaf(float);
+float tgammaf(float);
+
+float acoshf(float);
+float asinhf(float);
+float atanhf(float);
+float cbrtf(float);
+float logbf(float);
+float copysignf(float, float) __pure2;
+long long llrintf(float);
+long long llroundf(float);
+long lrintf(float);
+long lroundf(float);
+float nanf(const char *) __pure2;
+float nearbyintf(float);
+float nextafterf(float, float);
+float remainderf(float, float);
+float remquof(float, float, int *);
+float rintf(float);
+float scalblnf(float, long);
+float scalbnf(float, int);
+float truncf(float);
+
+float fdimf(float, float);
+float fmaf(float, float, float);
+float fmaxf(float, float) __pure2;
+float fminf(float, float) __pure2;
+#endif
+
+/*
+ * float versions of BSD math library entry points
+ */
+#if __BSD_VISIBLE
+float dremf(float, float);
+int finitef(float) __pure2;
+float gammaf(float);
+float j0f(float);
+float j1f(float);
+float jnf(int, float);
+float scalbf(float, float);
+float y0f(float);
+float y1f(float);
+float ynf(int, 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 *);
+
+/*
+ * float version of IEEE Test Vector
+ */
+float significandf(float);
+#endif /* __BSD_VISIBLE */
+
+/*
+ * long double versions of ISO/POSIX math functions
+ */
+#if __ISO_C_VISIBLE >= 1999
+long double acoshl(long double);
+long double acosl(long double);
+long double asinhl(long double);
+long double asinl(long double);
+long double atan2l(long double, long double);
+long double atanhl(long double);
+long double atanl(long double);
+long double cbrtl(long double);
+long double ceill(long double);
+long double copysignl(long double, long double) __pure2;
+long double coshl(long double);
+long double cosl(long double);
+long double erfcl(long double);
+long double erfl(long double);
+long double exp2l(long double);
+long double expl(long double);
+long double expm1l(long double);
+long double fabsl(long double) __pure2;
+long double fdiml(long double, long double);
+long double floorl(long double);
+long double fmal(long double, long double, long double);
+long double fmaxl(long double, long double) __pure2;
+long double fminl(long double, long double) __pure2;
+long double fmodl(long double, long double);
+long double frexpl(long double value, int *); /* fundamentally !__pure2 */
+long double hypotl(long double, long double);
+int ilogbl(long double) __pure2;
+long double ldexpl(long double, int);
+long double lgammal(long double);
+long long llrintl(long double);
+long long llroundl(long double);
+long double log10l(long double);
+long double log1pl(long double);
+long double log2l(long double);
+long double logbl(long double);
+long double logl(long double);
+long lrintl(long double);
+long lroundl(long double);
+long double modfl(long double, long double *); /* fundamentally !__pure2 */
+long double nanl(const char *) __pure2;
+long double nearbyintl(long double);
+long double nextafterl(long double, long double);
+double nexttoward(double, long double);
+float nexttowardf(float, long double);
+long double nexttowardl(long double, long double);
+long double powl(long double, long double);
+long double remainderl(long double, long double);
+long double remquol(long double, long double, int *);
+long double rintl(long double);
+long double roundl(long double);
+long double scalblnl(long double, long);
+long double scalbnl(long double, int);
+long double sinhl(long double);
+long double sinl(long double);
+long double sqrtl(long double);
+long double tanhl(long double);
+long double tanl(long double);
+long double tgammal(long double);
+long double truncl(long double);
+#endif /* __ISO_C_VISIBLE >= 1999 */
+
+#if __BSD_VISIBLE
+long double lgammal_r(long double, int *);
+#endif
+
+__END_DECLS
+
+#endif /* !_MATH_H_ */
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