/*** *float.h - constants for floating point values * * Copyright (c) Microsoft Corporation. All rights reserved. * *Purpose: * This file contains defines for a number of implementation dependent * values which are commonly used by sophisticated numerical (floating * point) programs. * [ANSI] * * [Public] * ****/ #pragma once #ifndef _INC_FLOAT #define _INC_FLOAT #include #include /* Define _CRT_MANAGED_FP_DEPRECATE */ #ifndef _CRT_MANAGED_FP_DEPRECATE #ifdef _CRT_MANAGED_FP_NO_DEPRECATE #define _CRT_MANAGED_FP_DEPRECATE #else /* _CRT_MANAGED_FP_NO_DEPRECATE */ #if defined (_M_CEE) #define _CRT_MANAGED_FP_DEPRECATE _CRT_DEPRECATE_TEXT("Direct floating point control is not supported or reliable from within managed code. ") #else /* defined (_M_CEE) */ #define _CRT_MANAGED_FP_DEPRECATE #endif /* defined (_M_CEE) */ #endif /* _CRT_MANAGED_FP_NO_DEPRECATE */ #endif /* _CRT_MANAGED_FP_DEPRECATE */ #ifdef __cplusplus extern "C" { #endif /* __cplusplus */ /* 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. */ #if defined(_M_FP_FAST) #define FLT_EVAL_METHOD -1 #else #if defined(_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 #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_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_ROUNDS 1 /* addition rounding: near */ #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_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 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_ROUNDS 1 /* addition rounding: near */ #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_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 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_ROUNDS DBL_ROUNDS /* addition rounding: near */ #define DECIMAL_DIG 10 /* float rounded to decimal and back */ /* Function prototypes */ /* Reading or writing the floating point control/status words is not supported in managed code */ _CRT_MANAGED_FP_DEPRECATE _CRTIMP unsigned int __cdecl _clearfp(void); #pragma warning(push) #pragma warning(disable: 4141) _CRT_MANAGED_FP_DEPRECATE _CRT_INSECURE_DEPRECATE(_controlfp_s) _CRTIMP unsigned int __cdecl _controlfp(_In_ unsigned int _NewValue,_In_ unsigned int _Mask); #pragma warning(pop) _CRT_MANAGED_FP_DEPRECATE _CRTIMP void __cdecl _set_controlfp(_In_ unsigned int _NewValue, _In_ unsigned int _Mask); _CRT_MANAGED_FP_DEPRECATE _CRTIMP errno_t __cdecl _controlfp_s(_Out_opt_ unsigned int *_CurrentState, _In_ unsigned int _NewValue, _In_ unsigned int _Mask); _CRT_MANAGED_FP_DEPRECATE _CRTIMP unsigned int __cdecl _statusfp(void); _CRT_MANAGED_FP_DEPRECATE _CRTIMP void __cdecl _fpreset(void); #if defined (_M_IX86) _CRT_MANAGED_FP_DEPRECATE _CRTIMP void __cdecl _statusfp2(_Out_opt_ unsigned int *_X86_status, _Out_opt_ unsigned int *_SSE2_status); #endif /* defined (_M_IX86) */ #define _clear87 _clearfp #define _status87 _statusfp /* * Abstract User Status Word bit definitions */ #define _SW_INEXACT 0x00000001 /* inexact (precision) */ #define _SW_UNDERFLOW 0x00000002 /* underflow */ #define _SW_OVERFLOW 0x00000004 /* overflow */ #define _SW_ZERODIVIDE 0x00000008 /* zero divide */ #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 old spelling */ #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 */ /* 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) #define _CW_DEFAULT ( _RC_NEAR + _EM_INVALID + _EM_ZERODIVIDE + _EM_OVERFLOW + _EM_UNDERFLOW + _EM_INEXACT + _EM_DENORMAL) #endif /* defined (_M_X64) || defined (_M_ARM) */ _CRT_MANAGED_FP_DEPRECATE _CRTIMP unsigned int __cdecl _control87(_In_ unsigned int _NewValue,_In_ unsigned int _Mask); #if defined (_M_IX86) _CRT_MANAGED_FP_DEPRECATE _CRTIMP int __cdecl __control87_2(_In_ unsigned int _NewValue, _In_ unsigned int _Mask, _Out_opt_ unsigned int* _X86_cw, _Out_opt_ unsigned int* _Sse2_cw); #endif /* defined (_M_IX86) */ /* Global variable holding floating point error code */ _Check_return_ _CRTIMP extern int * __cdecl __fpecode(void); #define _fpecode (*__fpecode()) /* invalid subconditions (_SW_INVALID also set) */ #define _SW_UNEMULATED 0x0040 /* unemulated instruction */ #define _SW_SQRTNEG 0x0080 /* square root of a neg 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 ); */ #define _FPE_MULTIPLE_TRAPS 0x8d /* on x86 with arch:SSE2 OS returns these exceptions */ #define _FPE_MULTIPLE_FAULTS 0x8e /* IEEE recommended functions */ _Check_return_ _CRTIMP double __cdecl _copysign(_In_ double _Number, _In_ double _Sign); _Check_return_ _CRTIMP double __cdecl _chgsign(_In_ double _X); _Check_return_ _CRTIMP double __cdecl _scalb(_In_ double _X, _In_ long _Y); _Check_return_ _CRTIMP double __cdecl _logb(_In_ double _X); _Check_return_ _CRTIMP double __cdecl _nextafter(_In_ double _X, _In_ double _Y); _Check_return_ _CRTIMP int __cdecl _finite(_In_ double _X); _Check_return_ _CRTIMP int __cdecl _isnan(_In_ double _X); _Check_return_ _CRTIMP int __cdecl _fpclass(_In_ double _X); #ifdef _M_X64 _Check_return_ _CRTIMP float __cdecl _scalbf(_In_ float _X, _In_ long _Y); #endif /* _M_X64 */ #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 */ #if !__STDC__ /* Non-ANSI names for compatibility */ #define clear87 _clear87 #define status87 _status87 #define control87 _control87 _CRT_MANAGED_FP_DEPRECATE _CRTIMP void __cdecl fpreset(void); #define DBL_RADIX _DBL_RADIX #define DBL_ROUNDS _DBL_ROUNDS #define LDBL_RADIX _LDBL_RADIX #define LDBL_ROUNDS _LDBL_ROUNDS #define EM_AMBIGUIOUS _EM_AMBIGUOUS /* for backwards compatibility old spelling */ #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 /* !__STDC__ */ #ifdef __cplusplus } #endif /* __cplusplus */ #endif /* _INC_FLOAT */