// // float.h // // Copyright (c) Microsoft Corporation. All rights reserved. // // 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 #pragma warning(push) #pragma warning(disable: _UCRT_DISABLED_WARNINGS) _UCRT_DISABLE_CLANG_WARNINGS _CRT_BEGIN_C_HEADER #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); #pragma warning(push) #pragma warning(disable: 4141) // Double deprecation _CRT_MANAGED_FP_DEPRECATE _CRT_INSECURE_DEPRECATE(_controlfp_s) _ACRTIMP unsigned int __cdecl _controlfp( _In_ unsigned int _NewValue, _In_ unsigned int _Mask ); #pragma warning(pop) _CRT_MANAGED_FP_DEPRECATE _ACRTIMP void __cdecl _set_controlfp( _In_ unsigned int _NewValue, _In_ unsigned int _Mask ); _CRT_MANAGED_FP_DEPRECATE _ACRTIMP errno_t __cdecl _controlfp_s( _Out_opt_ unsigned int* _CurrentState, _In_ unsigned int _NewValue, _In_ unsigned int _Mask ); _CRT_MANAGED_FP_DEPRECATE _ACRTIMP unsigned int __cdecl _statusfp(void); _CRT_MANAGED_FP_DEPRECATE _ACRTIMP void __cdecl _fpreset(void); #ifdef _M_IX86 _CRT_MANAGED_FP_DEPRECATE _ACRTIMP void __cdecl _statusfp2( _Out_opt_ unsigned int* _X86Status, _Out_opt_ unsigned int* _SSE2Status ); #endif #define _clear87 _clearfp #define _status87 _statusfp _CRT_MANAGED_FP_DEPRECATE _ACRTIMP unsigned int __cdecl _control87( _In_ unsigned int _NewValue, _In_ unsigned int _Mask ); #ifdef _M_IX86 _CRT_MANAGED_FP_DEPRECATE _ACRTIMP int __cdecl __control87_2( _In_ unsigned int _NewValue, _In_ unsigned int _Mask, _Out_opt_ unsigned int* _X86ControlWord, _Out_opt_ unsigned int* _Sse2ControlWord ); #endif // Global variable holding floating point error code _Check_return_ _ACRTIMP int* __cdecl __fpecode(void); #define _fpecode (*__fpecode()) _Check_return_ _ACRTIMP 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); _Check_return_ _ACRTIMP double __cdecl _chgsign(_In_ double _X); _Check_return_ _ACRTIMP double __cdecl _scalb(_In_ double _X, _In_ long _Y); _Check_return_ _ACRTIMP double __cdecl _logb(_In_ double _X); _Check_return_ _ACRTIMP double __cdecl _nextafter(_In_ double _X, _In_ double _Y); _Check_return_ _ACRTIMP int __cdecl _finite(_In_ double _X); _Check_return_ _ACRTIMP int __cdecl _isnan(_In_ double _X); _Check_return_ _ACRTIMP int __cdecl _fpclass(_In_ double _X); #ifdef _M_X64 _Check_return_ _ACRTIMP float __cdecl _scalbf(_In_ float _X, _In_ long _Y); #endif //-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ // // Nonstandard Names for Compatibility // //-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ #if defined(_CRT_INTERNAL_NONSTDC_NAMES) && _CRT_INTERNAL_NONSTDC_NAMES #define clear87 _clear87 #define status87 _status87 #define control87 _control87 _CRT_MANAGED_FP_DEPRECATE _ACRTIMP 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 _UCRT_RESTORE_CLANG_WARNINGS #pragma warning(pop) // _UCRT_DISABLED_WARNINGS #endif // _INC_FLOAT