#ifndef _MATH_H
#define _MATH_H

#ifdef __cplusplus
extern "C" {
#endif

#define __NEED_float_t
#define __NEED_double_t
#define __NEED___uint16_t
#define __NEED___uint32_t
#define __NEED___uint64_t
#include <bits/alltypes.h>

#if 100*__GNUC__+__GNUC_MINOR__ >= 303
#define NAN       __builtin_nanf("")
#define INFINITY  __builtin_inff()
#else
#define NAN       (0.0f/0.0f)
#define INFINITY  1e40f
#endif

#define HUGE_VALF INFINITY
#define HUGE_VAL  ((double)INFINITY)
#define HUGE_VALL ((long double)INFINITY)

#define MATH_ERRNO  1
#define MATH_ERREXCEPT 2
#define math_errhandling 2

#define FP_ILOGBNAN (-1-(int)(((unsigned)-1)>>1))
#define FP_ILOGB0 FP_ILOGBNAN

#define FP_NAN       0
#define FP_INFINITE  1
#define FP_ZERO      2
#define FP_SUBNORMAL 3
#define FP_NORMAL    4

int __fpclassify(double);
int __fpclassifyf(float);
int __fpclassifyl(long double);

union __float_repr { float __f; __uint32_t __i; };
union __double_repr { double __f; __uint64_t __i; };

#define __FLOAT_BITS(f) (((union __float_repr){ (float)(f) }).__i)
#define __DOUBLE_BITS(f) (((union __double_repr){ (double)(f) }).__i)

#define fpclassify(x) ( \
	sizeof(x) == sizeof(float) ? __fpclassifyf(x) : \
	sizeof(x) == sizeof(double) ? __fpclassify(x) : \
	__fpclassifyl(x) )

#define isinf(x) ( \
	sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) == 0x7f800000 : \
	sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & (__uint64_t)-1>>1) == (__uint64_t)0x7ff<<52 : \
	__fpclassifyl(x) == FP_INFINITE)

#define isnan(x) ( \
	sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) > 0x7f800000 : \
	sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & (__uint64_t)-1>>1) > (__uint64_t)0x7ff<<52 : \
	__fpclassifyl(x) == FP_NAN)

#define isnormal(x) ( \
	sizeof(x) == sizeof(float) ? ((__FLOAT_BITS(x)+0x00800000) & 0x7fffffff) >= 0x01000000 : \
	sizeof(x) == sizeof(double) ? ((__DOUBLE_BITS(x)+((__uint64_t)1<<52)) & (__uint64_t)-1>>1) >= (__uint64_t)1<<53 : \
	__fpclassifyl(x) == FP_NORMAL)

#define isfinite(x) ( \
	sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) < 0x7f800000 : \
	sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & (__uint64_t)-1>>1) < (__uint64_t)0x7ff<<52 : \
	__fpclassifyl(x) > FP_INFINITE)

int __signbit(double);
int __signbitf(float);
int __signbitl(long double);

#define signbit(x) ( \
	sizeof(x) == sizeof(float) ? (int)(__FLOAT_BITS(x)>>31) : \
	sizeof(x) == sizeof(double) ? (int)(__DOUBLE_BITS(x)>>63) : \
	__signbitl(x) )

#define isunordered(x,y) (isnan((x)) ? ((void)(y),1) : isnan((y)))

#if __STDC_VERSION__ >= 199901L
inline
#endif
static int __isrel(long double __x, long double __y, int __rel)
{
	if (isunordered(__x, __y)) return 0;
	if (__rel==-2) return __x < __y;
	if (__rel==2) return __x > __y;
	if (__rel==-1) return __x <= __y;
	if (__rel==1) return __x >= __y;
	return __x != __y;
}

#define isless(x,y) __isrel((x), (y), -2)
#define islessequal(x,y) __isrel((x), (y), -1)
#define islessgreater(x,y) __isrel((x), (y), 0)
#define isgreaterequal(x,y) __isrel((x), (y), 1)
#define isgreater(x,y) __isrel((x), (y), 2)

double      acos(double);
float       acosf(float);
long double acosl(long double);

double      acosh(double);
float       acoshf(float);
long double acoshl(long double);

double      asin(double);
float       asinf(float);
long double asinl(long double);

double      asinh(double);
float       asinhf(float);
long double asinhl(long double);

double      atan(double);
float       atanf(float);
long double atanl(long double);

double      atan2(double, double);
float       atan2f(float, float);
long double atan2l(long double, long double);

double      atanh(double);
float       atanhf(float);
long double atanhl(long double);

double      cbrt(double);
float       cbrtf(float);
long double cbrtl(long double);

double      ceil(double);
float       ceilf(float);
long double ceill(long double);

double      copysign(double, double);
float       copysignf(float, float);
long double copysignl(long double, long double);

double      cos(double);
float       cosf(float);
long double cosl(long double);

double      cosh(double);
float       coshf(float);
long double coshl(long double);

double      erf(double);
float       erff(float);
long double erfl(long double);

double      erfc(double);
float       erfcf(float);
long double erfcl(long double);

double      exp(double);
float       expf(float);
long double expl(long double);

double      exp2(double);
float       exp2f(float);
long double exp2l(long double);

double      expm1(double);
float       expm1f(float);
long double expm1l(long double);

double      fabs(double);
float       fabsf(float);
long double fabsl(long double);

double      fdim(double, double);
float       fdimf(float, float);
long double fdiml(long double, long double);

double      floor(double);
float       floorf(float);
long double floorl(long double);

double      fma(double, double, double);
float       fmaf(float, float, float);
long double fmal(long double, long double, long double);

double      fmax(double, double);
float       fmaxf(float, float);
long double fmaxl(long double, long double);

double      fmin(double, double);
float       fminf(float, float);
long double fminl(long double, long double);

double      fmod(double, double);
float       fmodf(float, float);
long double fmodl(long double, long double);

double      frexp(double, int *);
float       frexpf(float, int *);
long double frexpl(long double, int *);

double      hypot(double, double);
float       hypotf(float, float);
long double hypotl(long double, long double);

int         ilogb(double);
int         ilogbf(float);
int         ilogbl(long double);

double      ldexp(double, int);
float       ldexpf(float, int);
long double ldexpl(long double, int);

double      lgamma(double);
float       lgammaf(float);
long double lgammal(long double);

long long   llrint(double);
long long   llrintf(float);
long long   llrintl(long double);

long long   llround(double);
long long   llroundf(float);
long long   llroundl(long double);

double      log(double);
float       logf(float);
long double logl(long double);

double      log10(double);
float       log10f(float);
long double log10l(long double);

double      log1p(double);
float       log1pf(float);
long double log1pl(long double);

double      log2(double);
float       log2f(float);
long double log2l(long double);

double      logb(double);
float       logbf(float);
long double logbl(long double);

long        lrint(double);
long        lrintf(float);
long        lrintl(long double);

long        lround(double);
long        lroundf(float);
long        lroundl(long double);

double      modf(double, double *);
float       modff(float, float *);
long double modfl(long double, long double *);

double      nan(const char *);
float       nanf(const char *);
long double nanl(const char *);

double      nearbyint(double);
float       nearbyintf(float);
long double nearbyintl(long double);

double      nextafter(double, double);
float       nextafterf(float, float);
long double nextafterl(long double, long double);

double      nexttoward(double, long double);
float       nexttowardf(float, long double);
long double nexttowardl(long double, long double);

double      pow(double, double);
float       powf(float, float);
long double powl(long double, long double);

double      remainder(double, double);
float       remainderf(float, float);
long double remainderl(long double, long double);

double      remquo(double, double, int *);
float       remquof(float, float, int *);
long double remquol(long double, long double, int *);

double      rint(double);
float       rintf(float);
long double rintl(long double);

double      round(double);
float       roundf(float);
long double roundl(long double);

double      scalbln(double, long);
float       scalblnf(float, long);
long double scalblnl(long double, long);

double      scalbn(double, int);
float       scalbnf(float, int);
long double scalbnl(long double, int);

double      sin(double);
float       sinf(float);
long double sinl(long double);

double      sinh(double);
float       sinhf(float);
long double sinhl(long double);

double      sqrt(double);
float       sqrtf(float);
long double sqrtl(long double);

double      tan(double);
float       tanf(float);
long double tanl(long double);

double      tanh(double);
float       tanhf(float);
long double tanhl(long double);

double      tgamma(double);
float       tgammaf(float);
long double tgammal(long double);

double      trunc(double);
float       truncf(float);
long double truncl(long double);

#if defined(_XOPEN_SOURCE) || defined(_GNU_SOURCE) || defined(_BSD_SOURCE)
#define M_E             2.7182818284590452354   /* e */
#define M_LOG2E         1.4426950408889634074   /* log_2 e */
#define M_LOG10E        0.43429448190325182765  /* log_10 e */
#define M_LN2           0.69314718055994530942  /* log_e 2 */
#define M_LN10          2.30258509299404568402  /* log_e 10 */
#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) */
#endif

#if defined(_XOPEN_SOURCE)
#define MAXFLOAT        3.40282347e+38F
#endif

#if defined(_XOPEN_SOURCE) || defined(_GNU_SOURCE)
extern int signgam;

double      j0(double);
double      j1(double);
double      jn(int, double);

double      y0(double);
double      y1(double);
double      yn(int, double);
#endif

#ifdef _GNU_SOURCE
#define HUGE        3.40282347e+38F
double      scalb(double, double);
float       scalbf(float, float);
long double scalbl(long double, long double);

void        sincos(double, double*, double*);
void        sincosf(float, float*, float*);
void        sincosl(long double, long double*, long double*);

double      gamma(double);
float       gammaf(float);
long double gammal(long double);

double      lgamma_r(double, int*);
float       lgammaf_r(float, int*);
long double lgammal_r(long double, int*);

float       j0f(float);
long double j0l(long double);
float       j1f(float);
long double j1l(long double);
float       jnf(int, float);
long double jnl(int, long double);

float       y0f(float);
long double y0l(long double);
float       y1f(float);
long double y1l(long double);
float       ynf(int, float);
long double ynl(int, long double);

double      exp10(double);
float       exp10f(float);
long double exp10l(long double);
double      pow10(double);
float       pow10f(float);
long double pow10l(long double);
#endif

#ifdef __cplusplus
}
#endif

#endif