#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_EXCEPT 2
#define math_errhandling 2
#define FP_ILOGBNAN (((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);
#define __FLOAT_BITS(f) (((union { float __f; __uint32_t __i; }){ (f) }).__i)
#define __DOUBLE_BITS(f) (((union { double __f; __uint64_t __i; }){ (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) ? !!(__FLOAT_BITS(x) & 0x80000000) : \
sizeof(x) == sizeof(double) ? !!(__DOUBLE_BITS(x) & (__uint64_t)1<<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 value, int *);
long double frexpl(long double value, 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)
#define MAXFLOAT 3.40282347e+38F
#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) */
extern int signgam;
double gamma(double);
float gammaf(float);
long double gammal(long double);
double j0(double);
double j1(double);
double jn(int, double);
double y0(double);
double y1(double);
double yn(int, double);
#endif
#ifdef _GNU_SOURCE
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 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);
#endif
#ifdef __cplusplus
}
#endif
#endif
