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+
+#ifndef _MATH_H_
+#define _MATH_H_
+
+#include <sys/reent.h>
+#include <machine/ieeefp.h>
+#include "_ansi.h"
+
+_BEGIN_STD_C
+
+union __dmath
+{
+ __ULong i[2];
+ double d;
+};
+
+union __fmath
+{
+ __ULong i[1];
+ float f;
+};
+
+union __ldmath
+{
+ __ULong i[4];
+ _LONG_DOUBLE ld;
+};
+
+#if defined(__GNUC__) && \
+ ( (__GNUC__ >= 4) || \
+ ( (__GNUC__ >= 3) && defined(__GNUC_MINOR__) && (__GNUC_MINOR__ >= 3) ) )
+
+ /* gcc >= 3.3 implicitly defines builtins for HUGE_VALx values. */
+
+ #ifndef HUGE_VAL
+ #define HUGE_VAL (__builtin_huge_val())
+ #endif
+
+ #ifndef HUGE_VALF
+ #define HUGE_VALF (__builtin_huge_valf())
+ #endif
+
+ #ifndef HUGE_VALL
+ #define HUGE_VALL (__builtin_huge_vall())
+ #endif
+
+#else /* !gcc >= 3.3 */
+
+ /* No builtins. Use floating-point unions instead. Declare as an array
+ without bounds so no matter what small data support a port and/or
+ library has, the reference will be via the general method for accessing
+ globals. */
+
+ #ifndef HUGE_VAL
+ extern __IMPORT const union __dmath __infinity[];
+ #define HUGE_VAL (__infinity[0].d)
+ #endif
+
+ #ifndef HUGE_VALF
+ extern __IMPORT const union __fmath __infinityf[];
+ #define HUGE_VALF (__infinityf[0].f)
+ #endif
+
+ #ifndef HUGE_VALL
+ extern __IMPORT const union __ldmath __infinityld[];
+ #define HUGE_VALL (__infinityld[0].ld)
+ #endif
+
+#endif /* !gcc >= 3.3 */
+
+/* Reentrant ANSI C functions. */
+
+#ifndef __math_68881
+extern double atan _PARAMS((double));
+extern double cos _PARAMS((double));
+extern double sin _PARAMS((double));
+extern double tan _PARAMS((double));
+extern double tanh _PARAMS((double));
+extern double frexp _PARAMS((double, int *));
+extern double modf _PARAMS((double, double *));
+extern double ceil _PARAMS((double));
+extern double fabs _PARAMS((double));
+extern double floor _PARAMS((double));
+#endif /* ! defined (__math_68881) */
+
+/* Non reentrant ANSI C functions. */
+
+#ifndef _REENT_ONLY
+#ifndef __math_6881
+extern double acos _PARAMS((double));
+extern double asin _PARAMS((double));
+extern double atan2 _PARAMS((double, double));
+extern double cosh _PARAMS((double));
+extern double sinh _PARAMS((double));
+extern double exp _PARAMS((double));
+extern double ldexp _PARAMS((double, int));
+extern double log _PARAMS((double));
+extern double log10 _PARAMS((double));
+extern double pow _PARAMS((double, double));
+extern double sqrt _PARAMS((double));
+extern double fmod _PARAMS((double, double));
+#endif /* ! defined (__math_68881) */
+#endif /* ! defined (_REENT_ONLY) */
+
+#if !defined(__STRICT_ANSI__) || defined(__cplusplus)
+
+/* ISO C99 types and macros. */
+
+#ifndef FLT_EVAL_METHOD
+#define FLT_EVAL_METHOD 0
+typedef float float_t;
+typedef double double_t;
+#endif /* FLT_EVAL_METHOD */
+
+#define FP_NAN 0
+#define FP_INFINITE 1
+#define FP_ZERO 2
+#define FP_SUBNORMAL 3
+#define FP_NORMAL 4
+
+extern int __isinff (float x);
+extern int __isinfd (double x);
+extern int __isnanf (float x);
+extern int __isnand (double x);
+extern int __fpclassifyf (float x);
+extern int __fpclassifyd (double x);
+extern int __signbitf (float x);
+extern int __signbitd (double x);
+
+#define fpclassify(x) \
+ (__extension__ ({__typeof__(x) __x = (x); \
+ (sizeof (__x) == sizeof (float)) ? __fpclassifyf(__x) : __fpclassifyd(__x);}))
+
+#define isfinite(y) \
+ (__extension__ ({__typeof__(y) __y = (y); \
+ fpclassify(__y) != FP_INFINITE && fpclassify(__y) != FP_NAN;}))
+
+/* Note: isinf and isnan were once functions in newlib that took double
+ * arguments. C99 specifies that these names are reserved for macros
+ * supporting multiple floating point types. Thus, they are
+ * now defined as macros. Implementations of the old functions
+ * taking double arguments still exist for compatibility purposes. */
+#define isinf(x) \
+ (__extension__ ({__typeof__(x) __x = (x); \
+ (sizeof (__x) == sizeof (float)) ? __isinff(__x) : __isinfd(__x);}))
+#define isnan(x) \
+ (__extension__ ({__typeof__(x) __x = (x); \
+ (sizeof (__x) == sizeof (float)) ? __isnanf(__x) : __isnand(__x);}))
+#define isnormal(y) (fpclassify(y) == FP_NORMAL)
+#define signbit(x) \
+ (__extension__ ({__typeof__(x) __x = (x); \
+ (sizeof(__x) == sizeof(float)) ? __signbitf(__x) : __signbitd(__x);}))
+
+#define isgreater(x,y) \
+ (__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \
+ !isunordered(__x,__y) && (__x > __y);}))
+#define isgreaterequal(x,y) \
+ (__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \
+ !isunordered(__x,__y) && (__x >= __y);}))
+#define isless(x,y) \
+ (__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \
+ !isunordered(__x,__y) && (__x < __y);}))
+#define islessequal(x,y) \
+ (__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \
+ !isunordered(__x,__y) && (__x <= __y);}))
+#define islessgreater(x,y) \
+ (__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \
+ !isunordered(__x,__y) && (__x < __y || __x > __y);}))
+
+#define isunordered(a,b) \
+ (__extension__ ({__typeof__(a) __a = (a); __typeof__(b) __b = (b); \
+ fpclassify(__a) == FP_NAN || fpclassify(__b) == FP_NAN;}))
+
+/* Non ANSI double precision functions. */
+
+extern double infinity _PARAMS((void));
+extern double nan _PARAMS((const char *));
+extern int finite _PARAMS((double));
+extern double copysign _PARAMS((double, double));
+extern int ilogb _PARAMS((double));
+
+extern double asinh _PARAMS((double));
+extern double cbrt _PARAMS((double));
+extern double nextafter _PARAMS((double, double));
+extern double rint _PARAMS((double));
+extern double scalbn _PARAMS((double, int));
+
+extern double exp2 _PARAMS((double));
+extern double scalbln _PARAMS((double, long int));
+extern double tgamma _PARAMS((double));
+extern double nearbyint _PARAMS((double));
+extern long int lrint _PARAMS((double));
+extern double round _PARAMS((double));
+extern long int lround _PARAMS((double));
+extern double trunc _PARAMS((double));
+extern double remquo _PARAMS((double, double, int *));
+extern double copysign _PARAMS((double, double));
+extern double fdim _PARAMS((double, double));
+extern double fmax _PARAMS((double, double));
+extern double fmin _PARAMS((double, double));
+extern double fma _PARAMS((double, double, double));
+extern void sincos _PARAMS((double, double *, double *));
+
+#ifndef __math_68881
+extern double log1p _PARAMS((double));
+extern double expm1 _PARAMS((double));
+#endif /* ! defined (__math_68881) */
+
+#ifndef _REENT_ONLY
+extern double acosh _PARAMS((double));
+extern double atanh _PARAMS((double));
+extern double remainder _PARAMS((double, double));
+extern double gamma _PARAMS((double));
+extern double gamma_r _PARAMS((double, int *));
+extern double lgamma _PARAMS((double));
+extern double lgamma_r _PARAMS((double, int *));
+extern double erf _PARAMS((double));
+extern double erfc _PARAMS((double));
+extern double y0 _PARAMS((double));
+extern double y1 _PARAMS((double));
+extern double yn _PARAMS((int, double));
+extern double j0 _PARAMS((double));
+extern double j1 _PARAMS((double));
+extern double jn _PARAMS((int, double));
+#define log2(x) (log (x) / M_LOG2_E)
+
+#ifndef __math_68881
+extern double hypot _PARAMS((double, double));
+#endif
+
+extern double cabs();
+extern double drem _PARAMS((double, double));
+
+#endif /* ! defined (_REENT_ONLY) */
+
+#endif /* !defined (__STRICT_ANSI__) || defined(__cplusplus) */
+
+#if !defined(__STRICT_ANSI__) || defined(__cplusplus)
+
+/* Single precision versions of ANSI functions. */
+
+extern float atanf _PARAMS((float));
+extern float cosf _PARAMS((float));
+extern float sinf _PARAMS((float));
+extern float tanf _PARAMS((float));
+extern float tanhf _PARAMS((float));
+extern float frexpf _PARAMS((float, int *));
+extern float modff _PARAMS((float, float *));
+extern float ceilf _PARAMS((float));
+extern float fabsf _PARAMS((float));
+extern float floorf _PARAMS((float));
+
+#ifndef _REENT_ONLY
+extern float acosf _PARAMS((float));
+extern float asinf _PARAMS((float));
+extern float atan2f _PARAMS((float, float));
+extern float coshf _PARAMS((float));
+extern float sinhf _PARAMS((float));
+extern float expf _PARAMS((float));
+extern float ldexpf _PARAMS((float, int));
+extern float logf _PARAMS((float));
+extern float log10f _PARAMS((float));
+extern float powf _PARAMS((float, float));
+extern float sqrtf _PARAMS((float));
+extern float fmodf _PARAMS((float, float));
+#endif /* ! defined (_REENT_ONLY) */
+
+#endif /* !defined(__STRICT_ANSI__) || defined(__cplusplus) */
+
+#ifndef __STRICT_ANSI__
+
+/* Other single precision functions. */
+
+extern float exp2f _PARAMS((float));
+extern float scalblnf _PARAMS((float, long int));
+extern float tgammaf _PARAMS((float));
+extern float nearbyintf _PARAMS((float));
+extern long int lrintf _PARAMS((float));
+extern float roundf _PARAMS((float));
+extern long int lroundf _PARAMS((float));
+extern float truncf _PARAMS((float));
+extern float remquof _PARAMS((float, float, int *));
+extern float copysignf _PARAMS((float, float));
+extern float fdimf _PARAMS((float, float));
+extern float fmaxf _PARAMS((float, float));
+extern float fminf _PARAMS((float, float));
+extern float fmaf _PARAMS((float, float, float));
+
+extern float infinityf _PARAMS((void));
+extern float nanf _PARAMS((const char *));
+extern int isnanf _PARAMS((float));
+extern int isinff _PARAMS((float));
+extern int finitef _PARAMS((float));
+extern float copysignf _PARAMS((float, float));
+extern int ilogbf _PARAMS((float));
+
+extern float asinhf _PARAMS((float));
+extern float cbrtf _PARAMS((float));
+extern float nextafterf _PARAMS((float, float));
+extern float rintf _PARAMS((float));
+extern float scalbnf _PARAMS((float, int));
+extern float log1pf _PARAMS((float));
+extern float expm1f _PARAMS((float));
+extern void sincosf _PARAMS((float, float *, float *));
+
+#ifndef _REENT_ONLY
+extern float acoshf _PARAMS((float));
+extern float atanhf _PARAMS((float));
+extern float remainderf _PARAMS((float, float));
+extern float gammaf _PARAMS((float));
+extern float gammaf_r _PARAMS((float, int *));
+extern float lgammaf _PARAMS((float));
+extern float lgammaf_r _PARAMS((float, int *));
+extern float erff _PARAMS((float));
+extern float erfcf _PARAMS((float));
+extern float y0f _PARAMS((float));
+extern float y1f _PARAMS((float));
+extern float ynf _PARAMS((int, float));
+extern float j0f _PARAMS((float));
+extern float j1f _PARAMS((float));
+extern float jnf _PARAMS((int, float));
+#define log2f(x) (logf (x) / (float) M_LOG2_E)
+extern float hypotf _PARAMS((float, float));
+
+extern float cabsf();
+extern float dremf _PARAMS((float, float));
+
+#endif /* ! defined (_REENT_ONLY) */
+
+/* The gamma functions use a global variable, signgam. */
+#ifndef _REENT_ONLY
+#define signgam (*__signgam())
+extern int *__signgam _PARAMS((void));
+#endif /* ! defined (_REENT_ONLY) */
+
+#define __signgam_r(ptr) _REENT_SIGNGAM(ptr)
+
+/* The exception structure passed to the matherr routine. */
+/* We have a problem when using C++ since `exception' is a reserved
+ name in C++. */
+#ifdef __cplusplus
+struct __exception
+#else
+struct exception
+#endif
+{
+ int type;
+ char *name;
+ double arg1;
+ double arg2;
+ double retval;
+ int err;
+};
+
+#ifdef __cplusplus
+extern int matherr _PARAMS((struct __exception *e));
+#else
+extern int matherr _PARAMS((struct exception *e));
+#endif
+
+/* Values for the type field of struct exception. */
+
+#define DOMAIN 1
+#define SING 2
+#define OVERFLOW 3
+#define UNDERFLOW 4
+#define TLOSS 5
+#define PLOSS 6
+
+/* Useful constants. */
+
+#define MAXFLOAT 3.40282347e+38F
+
+#define M_E 2.7182818284590452354
+#define M_LOG2E 1.4426950408889634074
+#define M_LOG10E 0.43429448190325182765
+#define M_LN2 0.69314718055994530942
+#define M_LN10 2.30258509299404568402
+#define M_PI 3.14159265358979323846
+#define M_TWOPI (M_PI * 2.0)
+#define M_PI_2 1.57079632679489661923
+#define M_PI_4 0.78539816339744830962
+#define M_3PI_4 2.3561944901923448370E0
+#define M_SQRTPI 1.77245385090551602792981
+#define M_1_PI 0.31830988618379067154
+#define M_2_PI 0.63661977236758134308
+#define M_2_SQRTPI 1.12837916709551257390
+#define M_SQRT2 1.41421356237309504880
+#define M_SQRT1_2 0.70710678118654752440
+#define M_LN2LO 1.9082149292705877000E-10
+#define M_LN2HI 6.9314718036912381649E-1
+#define M_SQRT3 1.73205080756887719000
+#define M_IVLN10 0.43429448190325182765 /* 1 / log(10) */
+#define M_LOG2_E 0.693147180559945309417
+#define M_INVLN2 1.4426950408889633870E0 /* 1 / log(2) */
+
+/* Global control over fdlibm error handling. */
+
+enum __fdlibm_version
+{
+ __fdlibm_ieee = -1,
+ __fdlibm_svid,
+ __fdlibm_xopen,
+ __fdlibm_posix
+};
+
+#define _LIB_VERSION_TYPE enum __fdlibm_version
+#define _LIB_VERSION __fdlib_version
+
+extern __IMPORT _LIB_VERSION_TYPE _LIB_VERSION;
+
+#define _IEEE_ __fdlibm_ieee
+#define _SVID_ __fdlibm_svid
+#define _XOPEN_ __fdlibm_xopen
+#define _POSIX_ __fdlibm_posix
+
+#endif /* ! defined (__STRICT_ANSI__) */
+
+_END_STD_C
+
+#ifdef __FAST_MATH__
+#include <machine/fastmath.h>
+#endif
+
+#endif /* _MATH_H_ */