float.h

// float.h

// Implementation-defined values commonly used by sophisticated numerical

// (floating point) programs.

#pragma once

#ifndef _INC_FLOAT // include guard for 3rd party interop

#define _INC_FLOAT

#include <corecrt.h>

_CRT_BEGIN_C_HEADER

__pragma

(pack(push,

))

extern

"C"

{

#ifndef _CRT_MANAGED_FP_DEPRECATE

#ifdef _CRT_MANAGED_FP_NO_DEPRECATE

#define _CRT_MANAGED_FP_DEPRECATE

#else

#ifdef _M_CEE

#define _CRT_MANAGED_FP_DEPRECATE _CRT_DEPRECATE_TEXT("Direct floating point control is not supported or reliable from within managed code. ")

#else

#define _CRT_MANAGED_FP_DEPRECATE #endif #endif #endif

// Define the floating point precision used.

// For x86, results are in double precision (unless /arch:sse2 is used, in which

// case results are in source precision.

// For x64 and ARM, results are in source precision.

// If the compiler is invoked with /fp:fast, the compiler is allowed to use the

// fastest precision and even mix within a single function, so precision is

// indeterminable.

// Note that manipulating the floating point behavior using the float_control/

// fenv_access/fp_contract #pragmas may alter the actual floating point evaluation

// method, which may in turn invalidate the value of FLT_EVAL_METHOD.

#ifdef _M_FP_FAST

#define FLT_EVAL_METHOD -1

#else

#ifdef _M_IX86

#if _M_IX86_FP >= 2

#define FLT_EVAL_METHOD 0

#else

#define FLT_EVAL_METHOD 2 #endif

#else

#define FLT_EVAL_METHOD 0 #endif #endif

//-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+

// Constants

//-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+

#define DBL_DECIMAL_DIG 17 // # of decimal digits of rounding precision

#define DBL_DIG 15 // # of decimal digits of precision

#define DBL_EPSILON 2.2204460492503131e-016 // smallest such that 1.0+DBL_EPSILON != 1.0

#define DBL_HAS_SUBNORM 1 // type does support subnormal numbers

#define DBL_MANT_DIG 53 // # of bits in mantissa

#define DBL_MAX 1.7976931348623158e+308 // max value

#define DBL_MAX_10_EXP 308 // max decimal exponent

#define DBL_MAX_EXP 1024 // max binary exponent

#define DBL_MIN 2.2250738585072014e-308 // min positive value

#define DBL_MIN_10_EXP (-307) // min decimal exponent

#define DBL_MIN_EXP (-1021) // min binary exponent

#define _DBL_RADIX 2 // exponent radix

#define DBL_TRUE_MIN 4.9406564584124654e-324 // min positive value

#define FLT_DECIMAL_DIG 9 // # of decimal digits of rounding precision

#define FLT_DIG 6 // # of decimal digits of precision

#define FLT_EPSILON 1.192092896e-07F // smallest such that 1.0+FLT_EPSILON != 1.0

#define FLT_HAS_SUBNORM 1 // type does support subnormal numbers

#define FLT_GUARD 0

#define FLT_MANT_DIG 24 // # of bits in mantissa

#define FLT_MAX 3.402823466e+38F // max value

#define FLT_MAX_10_EXP 38 // max decimal exponent

#define FLT_MAX_EXP 128 // max binary exponent

#define FLT_MIN 1.175494351e-38F // min normalized positive value

#define FLT_MIN_10_EXP (-37) // min decimal exponent

#define FLT_MIN_EXP (-125) // min binary exponent

#define FLT_NORMALIZE 0

#define FLT_RADIX 2 // exponent radix

#define FLT_TRUE_MIN 1.401298464e-45F // min positive value

#define LDBL_DIG DBL_DIG // # of decimal digits of precision

#define LDBL_EPSILON DBL_EPSILON // smallest such that 1.0+LDBL_EPSILON != 1.0

#define LDBL_HAS_SUBNORM DBL_HAS_SUBNORM // type does support subnormal numbers

#define LDBL_MANT_DIG DBL_MANT_DIG // # of bits in mantissa

#define LDBL_MAX DBL_MAX // max value

#define LDBL_MAX_10_EXP DBL_MAX_10_EXP // max decimal exponent

#define LDBL_MAX_EXP DBL_MAX_EXP // max binary exponent

#define LDBL_MIN DBL_MIN // min normalized positive value

#define LDBL_MIN_10_EXP DBL_MIN_10_EXP // min decimal exponent

#define LDBL_MIN_EXP DBL_MIN_EXP // min binary exponent

#define _LDBL_RADIX _DBL_RADIX // exponent radix

#define LDBL_TRUE_MIN DBL_TRUE_MIN // min positive value

#define DECIMAL_DIG DBL_DECIMAL_DIG

//-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+

// Flags

//-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+

#define _SW_INEXACT 0x00000001 // Inexact (precision)

#define _SW_UNDERFLOW 0x00000002 // Underflow

#define _SW_OVERFLOW 0x00000004 // Overflow

#define _SW_ZERODIVIDE 0x00000008 // Divide by zero

#define _SW_INVALID 0x00000010 // Invalid

#define _SW_DENORMAL 0x00080000 // Denormal status bit

// New Control Bit that specifies the ambiguity in control word.

#define _EM_AMBIGUIOUS 0x80000000 // For backwards compatibility

#define _EM_AMBIGUOUS 0x80000000

// Abstract User Control Word Mask and bit definitions

#define _MCW_EM 0x0008001f // Interrupt Exception Masks

#define _EM_INEXACT 0x00000001 // inexact (precision)

#define _EM_UNDERFLOW 0x00000002 // underflow

#define _EM_OVERFLOW 0x00000004 // overflow

#define _EM_ZERODIVIDE 0x00000008 // zero divide

#define _EM_INVALID 0x00000010 // invalid

#define _EM_DENORMAL 0x00080000 // Denormal exception mask (_control87 only)

#define _MCW_RC 0x00000300 // Rounding Control

#define _RC_NEAR 0x00000000 // near

#define _RC_DOWN 0x00000100 // down

#define _RC_UP 0x00000200 // up

#define _RC_CHOP 0x00000300 // chop

// i386 specific definitions

#define _MCW_PC 0x00030000 // Precision Control

#define _PC_64 0x00000000 // 64 bits

#define _PC_53 0x00010000 // 53 bits

#define _PC_24 0x00020000 // 24 bits

#define _MCW_IC 0x00040000 // Infinity Control

#define _IC_AFFINE 0x00040000 // affine

#define _IC_PROJECTIVE 0x00000000 // projective

// RISC specific definitions

#define _MCW_DN 0x03000000 // Denormal Control

#define _DN_SAVE 0x00000000 // save denormal results and operands

#define _DN_FLUSH 0x01000000 // flush denormal results and operands to zero

#define _DN_FLUSH_OPERANDS_SAVE_RESULTS 0x02000000 // flush operands to zero and save results

#define _DN_SAVE_OPERANDS_FLUSH_RESULTS 0x03000000 // save operands and flush results to zero

// Invalid subconditions (_SW_INVALID also set)

#define _SW_UNEMULATED 0x0040 // Unemulated instruction

#define _SW_SQRTNEG 0x0080 // Square root of a negative number

#define _SW_STACKOVERFLOW 0x0200 // FP stack overflow

#define _SW_STACKUNDERFLOW 0x0400 // FP stack underflow

// Floating point error signals and return codes

#define _FPE_INVALID 0x81

#define _FPE_DENORMAL 0x82

#define _FPE_ZERODIVIDE 0x83

#define _FPE_OVERFLOW 0x84

#define _FPE_UNDERFLOW 0x85

#define _FPE_INEXACT 0x86

#define _FPE_UNEMULATED 0x87

#define _FPE_SQRTNEG 0x88

#define _FPE_STACKOVERFLOW 0x8a

#define _FPE_STACKUNDERFLOW 0x8b

#define _FPE_EXPLICITGEN 0x8c // raise(SIGFPE);

// On x86 with arch:SSE2, the OS returns these exceptions

#define _FPE_MULTIPLE_TRAPS 0x8d

#define _FPE_MULTIPLE_FAULTS 0x8e

#define _FPCLASS_SNAN 0x0001 // signaling NaN

#define _FPCLASS_QNAN 0x0002 // quiet NaN

#define _FPCLASS_NINF 0x0004 // negative infinity

#define _FPCLASS_NN 0x0008 // negative normal

#define _FPCLASS_ND 0x0010 // negative denormal

#define _FPCLASS_NZ 0x0020 // -0

#define _FPCLASS_PZ 0x0040 // +0

#define _FPCLASS_PD 0x0080 // positive denormal

#define _FPCLASS_PN 0x0100 // positive normal

#define _FPCLASS_PINF 0x0200 // positive infinity

// Initial Control Word value

#if defined _M_IX86

#define _CW_DEFAULT (_RC_NEAR + _PC_53 + _EM_INVALID + _EM_ZERODIVIDE + _EM_OVERFLOW + _EM_UNDERFLOW + _EM_INEXACT + _EM_DENORMAL)

#elif defined _M_X64 || defined _M_ARM || defined _M_ARM64

#define _CW_DEFAULT (_RC_NEAR + _EM_INVALID + _EM_ZERODIVIDE + _EM_OVERFLOW + _EM_UNDERFLOW + _EM_INEXACT + _EM_DENORMAL)

#endif

//-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+

// State Manipulation

//-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+

// Note that reading or writing the floating point control or status words is

// not supported in managed code.

_CRT_MANAGED_FP_DEPRECATE

_ACRTIMP unsigned int __cdecl _clearfp(void);

__declspec

(dllimport)

unsigned

int

__cdecl

_clearfp

(

void

);

#pragma warning(push) #pragma warning(disable:

4141

)

_CRT_MANAGED_FP_DEPRECATE _CRT_INSECURE_DEPRECATE(_controlfp_s)

__declspec

(deprecated(

"This function or variable may be unsafe. Consider using "

"_controlfp_s"

" instead. To disable deprecation, use _CRT_SECURE_NO_WARNINGS. "

"See online help for details."

))

_ACRTIMP unsigned int __cdecl _controlfp(

__declspec

(dllimport)

unsigned

int

__cdecl

_controlfp

(

_In_ unsigned int _NewValue,

unsigned

int

_NewValue

_In_ unsigned int _Mask

unsigned

int

_Mask

); #pragma warning(pop)

_CRT_MANAGED_FP_DEPRECATE

_ACRTIMP void __cdecl _set_controlfp(

__declspec

(dllimport)

void

__cdecl

_set_controlfp

(

_In_ unsigned int _NewValue,

unsigned

int

_NewValue

_In_ unsigned int _Mask

unsigned

int

_Mask

);

_CRT_MANAGED_FP_DEPRECATE

_ACRTIMP errno_t __cdecl _controlfp_s(

__declspec

(dllimport)

errno_t

__cdecl

_controlfp_s

(

_Out_opt_ unsigned int* _CurrentState,

unsigned

int

_CurrentState

_In_ unsigned int _NewValue,

unsigned

int

_NewValue

_In_ unsigned int _Mask

unsigned

int

_Mask

);

_CRT_MANAGED_FP_DEPRECATE

_ACRTIMP unsigned int __cdecl _statusfp(void);

__declspec

(dllimport)

unsigned

int

__cdecl

_statusfp

(

void

);

_CRT_MANAGED_FP_DEPRECATE

_ACRTIMP void __cdecl _fpreset(void);

__declspec

(dllimport)

void

__cdecl

_fpreset

(

void

);

#ifdef _M_IX86

_CRT_MANAGED_FP_DEPRECATE

_ACRTIMP void __cdecl _statusfp2(

__declspec

(dllimport)

void

__cdecl

_statusfp2

(

_Out_opt_ unsigned int* _X86Status,

unsigned

int

_X86Status

_Out_opt_ unsigned int* _SSE2Status

unsigned

int

_SSE2Status

);

#endif

#define _clear87 _clearfp

#define _status87 _statusfp

_CRT_MANAGED_FP_DEPRECATE

_ACRTIMP unsigned int __cdecl _control87(

__declspec

(dllimport)

unsigned

int

__cdecl

_control87

(

_In_ unsigned int _NewValue,

unsigned

int

_NewValue

_In_ unsigned int _Mask

unsigned

int

_Mask

);

#ifdef _M_IX86

_CRT_MANAGED_FP_DEPRECATE

_ACRTIMP int __cdecl __control87_2(

__declspec

(dllimport)

int

__cdecl

__control87_2

(

_In_ unsigned int _NewValue,

unsigned

int

_NewValue

_In_ unsigned int _Mask,

unsigned

int

_Mask

_Out_opt_ unsigned int* _X86ControlWord,

unsigned

int

_X86ControlWord

_Out_opt_ unsigned int* _Sse2ControlWord

unsigned

int

_Sse2ControlWord

);

#endif

// Global variable holding floating point error code

_Check_return_

_ACRTIMP int* __cdecl __fpecode(void);

__declspec

(dllimport)

int

__cdecl

__fpecode

(

void

);

#define _fpecode (*__fpecode())

_Check_return_

_ACRTIMP int __cdecl __fpe_flt_rounds(void);

__declspec

(dllimport)

int

__cdecl

__fpe_flt_rounds

(

void

);

#define FLT_ROUNDS (__fpe_flt_rounds())

#define _DBL_ROUNDS FLT_ROUNDS

#define _LDBL_ROUNDS _DBL_ROUNDS

//-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+

// IEEE Recommended Functions

//-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+

_Check_return_ _ACRTIMP double __cdecl _copysign(_In_ double _Number, _In_ double _Sign);

__declspec

(dllimport)

double

__cdecl

_copysign

(

double

_Number

double

_Sign

);

_Check_return_ _ACRTIMP double __cdecl _chgsign(_In_ double _X);

__declspec

(dllimport)

double

__cdecl

_chgsign

(

double

);

_Check_return_ _ACRTIMP double __cdecl _scalb(_In_ double _X, _In_ long _Y);

__declspec

(dllimport)

double

__cdecl

_scalb

(

double

long

);

_Check_return_ _ACRTIMP double __cdecl _logb(_In_ double _X);

__declspec

(dllimport)

double

__cdecl

_logb

(

double

);

_Check_return_ _ACRTIMP double __cdecl _nextafter(_In_ double _X, _In_ double _Y);

__declspec

(dllimport)

double

__cdecl

_nextafter

(

double

);

_Check_return_ _ACRTIMP int __cdecl _finite(_In_ double _X);

__declspec

(dllimport)

int

__cdecl

_finite

(

double

);

_Check_return_ _ACRTIMP int __cdecl _isnan(_In_ double _X);

__declspec

(dllimport)

int

__cdecl

_isnan

(

double

);

_Check_return_ _ACRTIMP int __cdecl _fpclass(_In_ double _X);

__declspec

(dllimport)

int

__cdecl

_fpclass

(

double

);

#ifdef _M_X64

_Check_return_ _ACRTIMP float __cdecl _scalbf(_In_ float _X, _In_ long _Y);

#endif

//-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+

// Nonstandard Names for Compatibility

//-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+

#if _CRT_INTERNAL_NONSTDC_NAMES

#define clear87 _clear87

#define status87 _status87

#define control87 _control87

_CRT_MANAGED_FP_DEPRECATE

_ACRTIMP void __cdecl fpreset(void);

__declspec

(dllimport)

void

__cdecl

fpreset

(

void

);

#define DBL_RADIX _DBL_RADIX

#define DBL_ROUNDS _DBL_ROUNDS

#define LDBL_RADIX _LDBL_RADIX

#define LDBL_ROUNDS _LDBL_ROUNDS

// For backwards compatibility with the old spelling

#define EM_AMBIGUIOUS _EM_AMBIGUOUS

#define EM_AMBIGUOUS _EM_AMBIGUOUS

#define MCW_EM _MCW_EM

#define EM_INVALID _EM_INVALID

#define EM_DENORMAL _EM_DENORMAL

#define EM_ZERODIVIDE _EM_ZERODIVIDE

#define EM_OVERFLOW _EM_OVERFLOW

#define EM_UNDERFLOW _EM_UNDERFLOW

#define EM_INEXACT _EM_INEXACT

#define MCW_IC _MCW_IC

#define IC_AFFINE _IC_AFFINE

#define IC_PROJECTIVE _IC_PROJECTIVE

#define MCW_RC _MCW_RC

#define RC_CHOP _RC_CHOP

#define RC_UP _RC_UP

#define RC_DOWN _RC_DOWN

#define RC_NEAR _RC_NEAR

#define MCW_PC _MCW_PC

#define PC_24 _PC_24

#define PC_53 _PC_53

#define PC_64 _PC_64

#define CW_DEFAULT _CW_DEFAULT

#define SW_INVALID _SW_INVALID

#define SW_DENORMAL _SW_DENORMAL

#define SW_ZERODIVIDE _SW_ZERODIVIDE

#define SW_OVERFLOW _SW_OVERFLOW

#define SW_UNDERFLOW _SW_UNDERFLOW

#define SW_INEXACT _SW_INEXACT

#define SW_UNEMULATED _SW_UNEMULATED

#define SW_SQRTNEG _SW_SQRTNEG

#define SW_STACKOVERFLOW _SW_STACKOVERFLOW

#define SW_STACKUNDERFLOW _SW_STACKUNDERFLOW

#define FPE_INVALID _FPE_INVALID

#define FPE_DENORMAL _FPE_DENORMAL

#define FPE_ZERODIVIDE _FPE_ZERODIVIDE

#define FPE_OVERFLOW _FPE_OVERFLOW

#define FPE_UNDERFLOW _FPE_UNDERFLOW

#define FPE_INEXACT _FPE_INEXACT

#define FPE_UNEMULATED _FPE_UNEMULATED

#define FPE_SQRTNEG _FPE_SQRTNEG

#define FPE_STACKOVERFLOW _FPE_STACKOVERFLOW

#define FPE_STACKUNDERFLOW _FPE_STACKUNDERFLOW

#define FPE_EXPLICITGEN _FPE_EXPLICITGEN

#endif // _CRT_INTERNAL_NONSTDC_NAMES

_CRT_END_C_HEADER #endif // _INC_FLOAT

}

__pragma

(pack(pop))