/** * This file has no copyright assigned and is placed in the Public Domain. */ #ifndef _INC_MATH #define _INC_MATH #include "crtdefs.h" #pragma pack(push,_CRT_PACKING) #ifdef __cplusplus extern "C" { #endif typedef float float_t; typedef double double_t; #ifndef _EXCEPTION_DEFINED #define _EXCEPTION_DEFINED struct _exception { int type; char *name; double arg1; double arg2; double retval; }; #endif #ifndef _COMPLEX_DEFINED #define _COMPLEX_DEFINED struct _complex { double x,y; }; #if !__STDC__ && !defined(__cplusplus) #define complex _complex #endif /* __STDC__ */ #endif /* _COMPLEX_DEFINED */ #define _DOMAIN 1 #define _SING 2 #define _OVERFLOW 3 #define _UNDERFLOW 4 #define _TLOSS 5 #define _PLOSS 6 #define EDOM 33 #define ERANGE 34 _CRTIMP extern double const _HUGE; #define HUGE_VAL _HUGE #ifndef _HUGE_ENUF #define _HUGE_ENUF 1e+300 #endif #define INFINITY ((float)(_HUGE_ENUF * _HUGE_ENUF)) #define HUGE_VALD ((double)INFINITY) #define HUGE_VALF ((float)INFINITY) #define HUGE_VALL ((long double)INFINITY) #define NAN ((float)(INFINITY * 0.0F)) #define _DENORM (-2) #define _FINITE (-1) #define _INFCODE 1 #define _NANCODE 2 #define FP_INFINITE _INFCODE #define FP_NAN _NANCODE #define FP_NORMAL _FINITE #define FP_SUBNORMAL _DENORM #define FP_ZERO 0 #ifndef __cplusplus #define _matherrl _matherr #endif #ifndef _CRT_ABS_DEFINED #define _CRT_ABS_DEFINED _Check_return_ int __cdecl abs(_In_ int x); _Check_return_ long __cdecl labs(_In_ long x); _Check_return_ long long __cdecl llabs(_In_ long long x); #endif _Check_return_ double __cdecl acos(_In_ double x); _Check_return_ double __cdecl asin(_In_ double x); _Check_return_ double __cdecl atan(_In_ double x); _Check_return_ double __cdecl atan2(_In_ double y, _In_ double x); _Check_return_ double __cdecl cos(_In_ double x); _Check_return_ double __cdecl cosh(_In_ double x); _Check_return_ double __cdecl exp(_In_ double x); _Check_return_ _CRT_JIT_INTRINSIC double __cdecl fabs(_In_ double x); _Check_return_ double __cdecl fmod(_In_ double x, _In_ double y); _Check_return_ double __cdecl log(_In_ double x); _Check_return_ double __cdecl log10(_In_ double x); _Check_return_ double __cdecl pow(_In_ double x, double y); _Check_return_ double __cdecl sin(_In_ double x); _Check_return_ double __cdecl sinh(_In_ double x); _Check_return_ _CRT_JIT_INTRINSIC double __cdecl sqrt(_In_ double x); _Check_return_ double __cdecl tan(_In_ double x); _Check_return_ double __cdecl tanh(_In_ double x); #ifdef _MSC_VER /* Prevent the compiler from generating calls to _CIatan2 */ #pragma function(atan2) #ifdef _M_AMD64 /* Prevent the compiler from generating calls to __vdecl_xxx */ #pragma function(cos,pow,sin,tan) #endif #endif #ifndef _CRT_MATHERR_DEFINED #define _CRT_MATHERR_DEFINED int __CRTDECL _matherr(_Inout_ struct _exception *exception); #endif #ifndef _CRT_ATOF_DEFINED #define _CRT_ATOF_DEFINED _Check_return_ _CRTIMP double __cdecl atof(_In_z_ const char *str); _Check_return_ _CRTIMP double __cdecl _atof_l(_In_z_ const char *str, _In_opt_ _locale_t locale); // vista+ #endif /* _CRT_ATOF_DEFINED */ #ifndef _SIGN_DEFINED #define _SIGN_DEFINED _Check_return_ _CRTIMP double __cdecl _copysign(_In_ double x, _In_ double sgn); _Check_return_ _CRTIMP double __cdecl _chgsign(_In_ double x); #endif _Check_return_ _CRTIMP double __cdecl _cabs(_In_ struct _complex a); _Check_return_ _CRTIMP double __cdecl _hypot(_In_ double x, _In_ double y); _Check_return_ _CRTIMP double __cdecl _j0(_In_ double x); _Check_return_ _CRTIMP double __cdecl _j1(_In_ double x); _Check_return_ _CRTIMP double __cdecl _jn(_In_ int x, _In_ double y); _Check_return_ _CRTIMP double __cdecl _nextafter(_In_ double x, _In_ double y); _Check_return_ _CRTIMP double __cdecl _y0(_In_ double x); _Check_return_ _CRTIMP double __cdecl _y1(_In_ double x); _Check_return_ _CRTIMP double __cdecl _yn(_In_ int x, _In_ double y); _Check_return_ _CRTIMP double __cdecl ceil(_In_ double x); _Check_return_ _CRTIMP double __cdecl floor(_In_ double x); _Check_return_ _CRTIMP double __cdecl frexp(_In_ double x, _Out_ int *y); _Check_return_ _CRTIMP double __cdecl ldexp(_In_ double x, _In_ int y); _Check_return_ _CRTIMP double __cdecl modf(_In_ double x, _Out_ double *y); #if defined(__i386__) || defined(_M_IX86) _Check_return_ _CRTIMP int __cdecl _set_SSE2_enable(_In_ int flag); #endif #if defined(__x86_64) || defined(_M_AMD64) _Check_return_ _CRTIMP float __cdecl _nextafterf(_In_ float x, _In_ float y); _Check_return_ _CRTIMP int __cdecl _isnanf(_In_ float x); _Check_return_ _CRTIMP int __cdecl _fpclassf(_In_ float x); #ifdef _MSC_VER /* Prevent the compiler from generating calls to __vdecl_floor2 */ #pragma function(floor) #endif #endif #if defined(__x86_64) || defined(_M_AMD64) || \ defined(__arm__) || defined(_M_ARM) || \ defined(__arm64__) || defined(_M_ARM64) _Check_return_ _CRTIMP int __cdecl _finitef(_In_ float x); _Check_return_ _CRTIMP float __cdecl _logbf(_In_ float x); #endif /* _M_AMD64 || _M_ARM || _M_ARM64 */ #if defined(__ia64__) || defined (_M_IA64) _Check_return_ _CRTIMP float __cdecl ldexpf(_In_ float x, _In_ int y); _Check_return_ _CRTIMP long double __cdecl tanl(_In_ long double x); #else _Check_return_ __CRT_INLINE float __CRTDECL ldexpf(_In_ float x, _In_ int y) { return (float)ldexp(x, y); } _Check_return_ __CRT_INLINE long double __CRTDECL tanl(_In_ long double x) { return (tan((double)x)); } #endif #if defined(__ia64__) || defined(_M_IA64) || \ defined(__arm__) || defined(_M_ARM) || \ defined(__arm64__) || defined(_M_ARM64) _Check_return_ _CRT_JIT_INTRINSIC _CRTIMP float __cdecl fabsf(_In_ float x); #else _Check_return_ __CRT_INLINE float __CRTDECL fabsf(_In_ float x) { return ((float)fabs((double)x)); } #endif /* _M_IA64 || _M_ARM || _M_ARM64 */ _Check_return_ float __cdecl _chgsignf(_In_ float x); _Check_return_ float __cdecl _copysignf(_In_ float x, _In_ float y); _Check_return_ float __cdecl _hypotf(_In_ float x, _In_ float y); _Check_return_ float __cdecl acosf(_In_ float x); _Check_return_ float __cdecl asinf(_In_ float x); _Check_return_ float __cdecl atanf(_In_ float x); _Check_return_ float __cdecl atan2f(_In_ float x, _In_ float y); _Check_return_ float __cdecl ceilf(_In_ float x); _Check_return_ float __cdecl cosf(_In_ float x); _Check_return_ float __cdecl coshf(_In_ float x); _Check_return_ float __cdecl expf(_In_ float x); _Check_return_ float __cdecl floorf(_In_ float x); _Check_return_ float __cdecl fmodf(_In_ float x, _In_ float y); _Check_return_ float __cdecl logf(_In_ float x); _Check_return_ float __cdecl log10f(_In_ float x); _Check_return_ float __cdecl modff(_In_ float x, _Out_ float *y); _Check_return_ float __cdecl powf(_In_ float b, _In_ float e); _Check_return_ float __cdecl sinf(_In_ float x); _Check_return_ float __cdecl sinhf(_In_ float x); _Check_return_ float __cdecl sqrtf(_In_ float x); _Check_return_ float __cdecl tanf(_In_ float x); _Check_return_ float __cdecl tanhf(_In_ float x); #if defined(_MSC_VER) /* Make sure intrinsics don't get in our way */ #if defined(_M_AMD64) || defined(_M_ARM) #pragma function(acosf,asinf,atanf,atan2f,ceilf,cosf,coshf,expf,floorf,fmodf,logf,log10f,powf,sinf,sinhf,sqrtf,tanf,tanhf) #endif /* defined(_M_AMD64) || defined(_M_ARM) */ #if (_MSC_VER >= 1920) #pragma function(_hypotf) #endif #endif /* _MSC_VER */ #if !defined(_CRTBLD) _Check_return_ __CRT_INLINE float _chgsignf(_In_ float x) { return (float)_chgsign((double)x); } _Check_return_ __CRT_INLINE float _copysignf(_In_ float x, _In_ float y) { return (float)_copysign((double)x, (double)y); } _Check_return_ __CRT_INLINE float _hypotf(_In_ float x, _In_ float y) { return (float)_hypot((double)x, (double)y); } _Check_return_ __CRT_INLINE float acosf(_In_ float x) { return (float)acos((double)x); } _Check_return_ __CRT_INLINE float asinf(_In_ float x) { return (float)asin((double)x); } _Check_return_ __CRT_INLINE float atanf(_In_ float x) { return (float)atan((double)x); } _Check_return_ __CRT_INLINE float atan2f(_In_ float x, _In_ float y) { return (float)atan2((double)x,(double)y); } _Check_return_ __CRT_INLINE float ceilf(_In_ float x) { return (float)ceil((double)x); } _Check_return_ __CRT_INLINE float cosf(_In_ float x) { return (float)cos((double)x); } _Check_return_ __CRT_INLINE float coshf(_In_ float x) { return (float)cosh((double)x); } _Check_return_ __CRT_INLINE float expf(_In_ float x) { return (float)exp((double)x); } _Check_return_ __CRT_INLINE float floorf(_In_ float x) { return (float)floor((double)x); } _Check_return_ __CRT_INLINE float fmodf(_In_ float x, _In_ float y) { return (float)fmod((double)x,(double)y); } _Check_return_ __CRT_INLINE float logf(_In_ float x) { return (float)log((double)x); } _Check_return_ __CRT_INLINE float log10f(_In_ float x) { return (float)log10((double)x); } _Check_return_ __CRT_INLINE float modff(_In_ float x, _Out_ float *y) { double _Di,_Df = modf((double)x,&_Di); *y = (float)_Di; return (float)_Df; } _Check_return_ __CRT_INLINE float powf(_In_ float x, _In_ float y) { return (float)pow((double)x,(double)y); } _Check_return_ __CRT_INLINE float sinf(_In_ float x) { return (float)sin((double)x); } _Check_return_ __CRT_INLINE float sinhf(_In_ float x) { return (float)sinh((double)x); } _Check_return_ __CRT_INLINE float sqrtf(_In_ float x) { return (float)sqrt((double)x); } _Check_return_ __CRT_INLINE float tanf(_In_ float x) { return (float)tan((double)x); } _Check_return_ __CRT_INLINE float tanhf(_In_ float x) { return (float)tanh((double)x); } #endif /* !defined(_CRTBLD) */ _Check_return_ __CRT_INLINE double hypot(_In_ double x, _In_ double y) { return _hypot(x, y); } _Check_return_ __CRT_INLINE float hypotf(_In_ float x, _In_ float y) { return _hypotf(x, y); } _Check_return_ __CRT_INLINE float frexpf(_In_ float x, _Out_ int *y) { return ((float)frexp((double)x,y)); } /* long double equals double, so just use inline wrappers */ _Check_return_ __CRT_INLINE long double acosl(_In_ long double x) { return (acos((double)x)); } _Check_return_ __CRT_INLINE long double asinl(_In_ long double x) { return (asin((double)x)); } _Check_return_ __CRT_INLINE long double atanl(_In_ long double x) { return (atan((double)x)); } _Check_return_ __CRT_INLINE long double atan2l(_In_ long double y, _In_ long double x) { return (atan2((double)y, (double)x)); } _Check_return_ __CRT_INLINE long double ceill(_In_ long double x) { return (ceil((double)x)); } _Check_return_ __CRT_INLINE long double cosl(_In_ long double x) { return (cos((double)x)); } _Check_return_ __CRT_INLINE long double coshl(_In_ long double x) { return (cosh((double)x)); } _Check_return_ __CRT_INLINE long double expl(_In_ long double x) { return (exp((double)x)); } _Check_return_ __CRT_INLINE long double fabsl(_In_ long double x) { return fabs((double)x); } _Check_return_ __CRT_INLINE long double floorl(_In_ long double x) { return (floor((double)x)); } _Check_return_ __CRT_INLINE long double fmodl(_In_ long double x, _In_ long double y) { return (fmod((double)x, (double)y)); } _Check_return_ __CRT_INLINE long double frexpl(_In_ long double x, _Out_ int *y) { return (frexp((double)x, y)); } _Check_return_ __CRT_INLINE long double hypotl(_In_ long double x, _In_ long double y) { return _hypot((double)x, (double)y); } _Check_return_ __CRT_INLINE long double logl(_In_ long double x) { return (log((double)x)); } _Check_return_ __CRT_INLINE long double log10l(_In_ long double x) { return (log10((double)x)); } _Check_return_ __CRT_INLINE long double powl(_In_ long double x, _In_ long double y) { return (pow((double)x, (double)y)); } _Check_return_ __CRT_INLINE long double sinl(_In_ long double x) { return (sin((double)x)); } _Check_return_ __CRT_INLINE long double sinhl(_In_ long double x) { return (sinh((double)x)); } _Check_return_ __CRT_INLINE long double sqrtl(_In_ long double x) { return (sqrt((double)x)); } _Check_return_ __CRT_INLINE long double tanhl(_In_ long double x) {return (tanh((double)x)); } _Check_return_ __CRT_INLINE long double _chgsignl(_In_ long double number) { return _chgsign((double)number); } _Check_return_ __CRT_INLINE long double _copysignl(_In_ long double number, _In_ long double sign) { return _copysign((double)number, (double)sign); } _Check_return_ __CRT_INLINE long double _hypotl(_In_ long double x, _In_ long double y) { return _hypot((double)x, (double)y); } _Check_return_ __CRT_INLINE long double ldexpl(_In_ long double x, _In_ int y) { return ldexp((double)x, y); } _Check_return_ __CRT_INLINE long double modfl(_In_ long double x, _Out_ long double *y) { return (long double)modf((double)x, (double *)y); } /* Support for some functions, not exported in MSVCRT */ #if (_MSC_VER >= 1929) _Check_return_ long lrint(_In_ double x); _Check_return_ long lrintf(_In_ float x); _Check_return_ long lrintl(_In_ long double x); #pragma function(lrint, lrintf, lrintl) #endif _Check_return_ __CRT_INLINE double round(_In_ double x) { return (x < 0) ? ceil(x - 0.5f) : floor(x + 0.5); } _Check_return_ __CRT_INLINE float roundf(_In_ float x) { return (x < 0) ? ceilf(x - 0.5f) : floorf(x + 0.5); } _Check_return_ __CRT_INLINE long double roundl(_In_ long double x) { return (x < 0) ? ceill(x - 0.5f) : floorl(x + 0.5); } _Check_return_ __CRT_INLINE long lround(_In_ double x) { return (long)((x < 0) ? (x - 0.5f) : (x + 0.5)); } _Check_return_ __CRT_INLINE long lroundf(_In_ float x) { return (long)((x < 0) ? (x - 0.5f) : (x + 0.5)); } _Check_return_ __CRT_INLINE long lroundl(_In_ long double x) { return (long)((x < 0) ? (x - 0.5f) : (x + 0.5)); } _Check_return_ __CRT_INLINE long long llround(_In_ double x) { return (long long)((x < 0) ? (x - 0.5f) : (x + 0.5)); } _Check_return_ __CRT_INLINE long long llroundf(_In_ float x) { return (long long)((x < 0) ? (x - 0.5f) : (x + 0.5)); } _Check_return_ __CRT_INLINE long long llroundl(_In_ long double x) { return (long long)((x < 0) ? (x - 0.5f) : (x + 0.5)); } _Check_return_ __CRT_INLINE double rint(_In_ double x) { return round(x); } _Check_return_ __CRT_INLINE float rintf(_In_ float x) { return roundf(x); } _Check_return_ __CRT_INLINE long double rintl(_In_ long double x) { return roundl(x); } _Check_return_ __CRT_INLINE long lrint(_In_ double x) { return (long)((x < 0) ? (x - 0.5f) : (x + 0.5)); } _Check_return_ __CRT_INLINE long lrintf(_In_ float x) { return (long)((x < 0) ? (x - 0.5f) : (x + 0.5)); } _Check_return_ __CRT_INLINE long lrintl(_In_ long double x) { return (long)((x < 0) ? (x - 0.5f) : (x + 0.5)); } _Check_return_ __CRT_INLINE long long llrint(_In_ double x) { return (long long)((x < 0) ? (x - 0.5f) : (x + 0.5)); } _Check_return_ __CRT_INLINE long long llrintf(_In_ float x) { return (long long)((x < 0) ? (x - 0.5f) : (x + 0.5)); } _Check_return_ __CRT_INLINE long long llrintl(_In_ long double x) { return (long long)((x < 0) ? (x - 0.5f) : (x + 0.5)); } _Check_return_ __CRT_INLINE double log2(_In_ double x) { return log(x) / log(2); } #ifndef NO_OLDNAMES /* !__STDC__ */ #define DOMAIN _DOMAIN #define SING _SING #define OVERFLOW _OVERFLOW #define UNDERFLOW _UNDERFLOW #define TLOSS _TLOSS #define PLOSS _PLOSS #define matherr _matherr //_CRTIMP extern double HUGE; #define HUGE _HUGE //_CRT_NONSTDC_DEPRECATE(_cabs) _CRTIMP double __cdecl cabs(_In_ struct _complex x); #define cabs _cabs _CRT_NONSTDC_DEPRECATE(_j0) _CRTIMP double __cdecl j0(_In_ double x); _CRT_NONSTDC_DEPRECATE(_j1) _CRTIMP double __cdecl j1(_In_ double x); _CRT_NONSTDC_DEPRECATE(_jn) _CRTIMP double __cdecl jn(_In_ int x, _In_ double y); _CRT_NONSTDC_DEPRECATE(_y0) _CRTIMP double __cdecl y0(_In_ double x); _CRT_NONSTDC_DEPRECATE(_y1) _CRTIMP double __cdecl y1(_In_ double x); _CRT_NONSTDC_DEPRECATE(_yn) _CRTIMP double __cdecl yn(_In_ int x, _In_ double y); #endif /* NO_OLDNAMES */ #ifdef __cplusplus } #ifndef _CMATH_ extern "C++" { //inline long abs(_In_ long x) { return labs(x); } _Check_return_ inline double abs(_In_ double x) throw() { return fabs(x); } _Check_return_ inline float abs(_In_ float x) throw() { return fabsf(x); } _Check_return_ inline float acos(_In_ float x) throw() { return acosf(x); } _Check_return_ inline float asin(_In_ float x) throw() { return asinf(x); } _Check_return_ inline float atan(_In_ float x) throw() { return atanf(x); } _Check_return_ inline float atan2(_In_ float y, _In_ float x) throw() { return atan2f(y, x); } _Check_return_ inline float ceil(_In_ float x) throw() { return ceilf(x); } _Check_return_ inline float copysign(_In_ float x, _In_ float y) throw() { return _copysignf(x, y); } _Check_return_ inline float cos(_In_ float x) throw() { return cosf(x); } _Check_return_ inline float cosh(_In_ float x) throw() { return coshf(x); } _Check_return_ inline float exp(_In_ float x) throw() { return expf(x); } _Check_return_ inline float fabs(_In_ float x) throw() { return fabsf(x); } _Check_return_ inline float floor(_In_ float x) throw() { return floorf(x); } _Check_return_ inline float fmod(_In_ float x, _In_ float y) throw() { return fmodf(x, y); } _Check_return_ inline float frexp(_In_ float x, _Out_ int * y) throw() { return frexpf(x, y); } _Check_return_ inline float hypot(_In_ float x, _In_ float y) throw() { return _hypotf(x, y); } _Check_return_ inline float ldexp(_In_ float x, _In_ int y) throw() { return ldexpf(x, y); } _Check_return_ inline float log(_In_ float x) throw() { return logf(x); } _Check_return_ inline float log10(_In_ float x) throw() { return log10f(x); } _Check_return_ inline float modf(_In_ float x, _Out_ float * y) throw() { return modff(x, y); } _Check_return_ inline float pow(_In_ float x, _In_ float y) throw() { return powf(x, y); } _Check_return_ inline float sin(_In_ float x) throw() { return sinf(x); } _Check_return_ inline float sinh(_In_ float x) throw() { return sinhf(x); } _Check_return_ inline float sqrt(_In_ float x) throw() { return sqrtf(x); } _Check_return_ inline float tan(_In_ float x) throw() { return tanf(x); } _Check_return_ inline float tanh(_In_ float x) throw() { return tanhf(x); } _Check_return_ inline long double abs(_In_ long double x) throw() { return fabsl(x); } _Check_return_ inline long double acos(_In_ long double x) throw() { return acosl(x); } _Check_return_ inline long double asin(_In_ long double x) throw() { return asinl(x); } _Check_return_ inline long double atan(_In_ long double x) throw() { return atanl(x); } _Check_return_ inline long double atan2(_In_ long double y, _In_ long double x) throw() { return atan2l(y, x); } _Check_return_ inline long double ceil(_In_ long double x) throw() { return ceill(x); } _Check_return_ inline long double copysign(_In_ long double x, _In_ long double y) throw() { return _copysignl(x, y); } _Check_return_ inline long double cos(_In_ long double x) throw() { return cosl(x); } _Check_return_ inline long double cosh(_In_ long double x) throw() { return coshl(x); } _Check_return_ inline long double exp(_In_ long double x) throw() { return expl(x); } _Check_return_ inline long double fabs(_In_ long double x) throw() { return fabsl(x); } _Check_return_ inline long double floor(_In_ long double x) throw() { return floorl(x); } _Check_return_ inline long double fmod(_In_ long double x, _In_ long double y) throw() { return fmodl(x, y); } _Check_return_ inline long double frexp(_In_ long double x, _Out_ int * y) throw() { return frexpl(x, y); } _Check_return_ inline long double hypot(_In_ long double x, _In_ long double y) throw() { return hypotl(x, y); } _Check_return_ inline long double ldexp(_In_ long double x, _In_ int y) throw() { return ldexpl(x, y); } _Check_return_ inline long double log(_In_ long double x) throw() { return logl(x); } _Check_return_ inline long double log10(_In_ long double x) throw() { return log10l(x); } _Check_return_ inline long double modf(_In_ long double x, _Out_ long double * y) throw() { return modfl(x, y); } _Check_return_ inline long double pow(_In_ long double x, _In_ long double y) throw() { return powl(x, y); } _Check_return_ inline long double sin(_In_ long double x) throw() { return sinl(x); } _Check_return_ inline long double sinh(_In_ long double x) throw() { return sinhl(x); } _Check_return_ inline long double sqrt(_In_ long double x) throw() { return sqrtl(x); } _Check_return_ inline long double tan(_In_ long double x) throw() { return tanl(x); } _Check_return_ inline long double tanh(_In_ long double x) throw() { return tanhl(x); } } #endif /* !_CMATH_ */ #endif /* __cplusplus */ #pragma pack(pop) #endif /* !_INC_MATH */ #if defined(_USE_MATH_DEFINES) && !defined(_MATH_DEFINES_DEFINED) #define _MATH_DEFINES_DEFINED #define M_E 2.71828182845904523536 #define M_LOG2E 1.44269504088896340736 #define M_LOG10E 0.434294481903251827651 #define M_LN2 0.693147180559945309417 #define M_LN10 2.30258509299404568402 #define M_PI 3.14159265358979323846 #define M_PI_2 1.57079632679489661923 #define M_PI_4 0.785398163397448309616 #define M_1_PI 0.318309886183790671538 #define M_2_PI 0.636619772367581343076 #define M_2_SQRTPI 1.12837916709551257390 #define M_SQRT2 1.41421356237309504880 #define M_SQRT1_2 0.707106781186547524401 #endif /* _USE_MATH_DEFINES */