#ifndef _MATH_H
#define _MATH_H

#ifdef __cplusplus
extern "C" {
#endif

#include <features.h>

#define __NEED_float_t
#define __NEED_double_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 1e5000f
#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);

static __inline unsigned __FLOAT_BITS(float __f) {
  union {
    float __f;
    unsigned __i;
  } __u;
  __u.__f = __f;
  return __u.__i;
}
static __inline unsigned long long __DOUBLE_BITS(double __f) {
  union {
    double __f;
    unsigned long long __i;
  } __u;
  __u.__f = __f;
  return __u.__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) & -1ULL >> 1) == 0x7ffULL << 52 \
             : __fpclassifyl(x) == FP_INFINITE)

#define isnan(x)                                                \
  (sizeof(x) == sizeof(float)                                   \
       ? (__FLOAT_BITS(x) & 0x7fffffff) > 0x7f800000            \
       : sizeof(x) == sizeof(double)                            \
             ? (__DOUBLE_BITS(x) & -1ULL >> 1) > 0x7ffULL << 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) + (1ULL << 52)) & -1ULL >> 1) >= 1ULL << 53 \
             : __fpclassifyl(x) == FP_NORMAL)

#define isfinite(x)                                             \
  (sizeof(x) == sizeof(float)                                   \
       ? (__FLOAT_BITS(x) & 0x7fffffff) < 0x7f800000            \
       : sizeof(x) == sizeof(double)                            \
             ? (__DOUBLE_BITS(x) & -1ULL >> 1) < 0x7ffULL << 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)))

#define __ISREL_DEF(rel, op, type)                    \
  static __inline int __is##rel(type __x, type __y) { \
    return !isunordered(__x, __y) && __x op __y;      \
  }

__ISREL_DEF(lessf, <, float_t)
__ISREL_DEF(less, <, double_t)
__ISREL_DEF(lessl, <, long double)
__ISREL_DEF(lessequalf, <=, float_t)
__ISREL_DEF(lessequal, <=, double_t)
__ISREL_DEF(lessequall, <=, long double)
__ISREL_DEF(lessgreaterf, !=, float_t)
__ISREL_DEF(lessgreater, !=, double_t)
__ISREL_DEF(lessgreaterl, !=, long double)
__ISREL_DEF(greaterf, >, float_t)
__ISREL_DEF(greater, >, double_t)
__ISREL_DEF(greaterl, >, long double)
__ISREL_DEF(greaterequalf, >=, float_t)
__ISREL_DEF(greaterequal, >=, double_t)
__ISREL_DEF(greaterequall, >=, long double)

#define __tg_pred_2(x, y, p)          \
  (sizeof((x) + (y)) == sizeof(float) \
       ? p##f(x, y)                   \
       : sizeof((x) + (y)) == sizeof(double) ? p(x, y) : p##l(x, y))

#define isless(x, y) __tg_pred_2(x, y, __isless)
#define islessequal(x, y) __tg_pred_2(x, y, __islessequal)
#define islessgreater(x, y) __tg_pred_2(x, y, __islessgreater)
#define isgreater(x, y) __tg_pred_2(x, y, __isgreater)
#define isgreaterequal(x, y) __tg_pred_2(x, y, __isgreaterequal)

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(_BSD_SOURCE)
#undef MAXFLOAT
#define MAXFLOAT 3.40282346638528859812e+38F
#endif

#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) */

extern int signgam;

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

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

#if defined(_GNU_SOURCE) || defined(_BSD_SOURCE)
#define HUGE 3.40282346638528859812e+38F

double drem(double, double);
float dremf(float, float);

int finite(double);
int finitef(float);

double scalb(double, double);
float scalbf(float, float);

double significand(double);
float significandf(float);

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

float j0f(float);
float j1f(float);
float jnf(int, float);

float y0f(float);
float y1f(float);
float ynf(int, float);
#endif

#ifdef _GNU_SOURCE
long double lgammal_r(long double, int*);

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