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float.h
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1//
2// float.h
3//
4// Copyright (c) Microsoft Corporation. All rights reserved.
5//
6// Implementation-defined values commonly used by sophisticated numerical
7// (floating point) programs.
8//
9#pragma once
10#ifndef _INC_FLOAT // include guard for 3rd party interop
11#define _INC_FLOAT
12
13#include <corecrt.h>
14
15#pragma warning(push)
16#pragma warning(disable: _UCRT_DISABLED_WARNINGS)
18
20
21
22
23#ifndef _CRT_MANAGED_FP_DEPRECATE
24 #ifdef _CRT_MANAGED_FP_NO_DEPRECATE
25 #define _CRT_MANAGED_FP_DEPRECATE
26 #else
27 #ifdef _M_CEE
28 #define _CRT_MANAGED_FP_DEPRECATE _CRT_DEPRECATE_TEXT("Direct floating point control is not supported or reliable from within managed code. ")
29 #else
30 #define _CRT_MANAGED_FP_DEPRECATE
31 #endif
32 #endif
33#endif
34
35
36// Define the floating point precision used.
37//
38// For x86, results are in double precision (unless /arch:sse2 is used, in which
39// case results are in source precision.
40//
41// For x64 and ARM, results are in source precision.
42//
43// If the compiler is invoked with /fp:fast, the compiler is allowed to use the
44// fastest precision and even mix within a single function, so precision is
45// indeterminable.
46//
47// Note that manipulating the floating point behavior using the float_control/
48// fenv_access/fp_contract #pragmas may alter the actual floating point evaluation
49// method, which may in turn invalidate the value of FLT_EVAL_METHOD.
50#ifdef _M_FP_FAST
51 #define FLT_EVAL_METHOD -1
52#else
53 #ifdef _M_IX86
54 #if _M_IX86_FP >= 2
55 #define FLT_EVAL_METHOD 0
56 #else
57 #define FLT_EVAL_METHOD 2
58 #endif
59 #else
60 #define FLT_EVAL_METHOD 0
61 #endif
62#endif
63
64
65
66//-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
67//
68// Constants
69//
70//-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
71#define DBL_DECIMAL_DIG 17 // # of decimal digits of rounding precision
72#define DBL_DIG 15 // # of decimal digits of precision
73#define DBL_EPSILON 2.2204460492503131e-016 // smallest such that 1.0+DBL_EPSILON != 1.0
74#define DBL_HAS_SUBNORM 1 // type does support subnormal numbers
75#define DBL_MANT_DIG 53 // # of bits in mantissa
76#define DBL_MAX 1.7976931348623158e+308 // max value
77#define DBL_MAX_10_EXP 308 // max decimal exponent
78#define DBL_MAX_EXP 1024 // max binary exponent
79#define DBL_MIN 2.2250738585072014e-308 // min positive value
80#define DBL_MIN_10_EXP (-307) // min decimal exponent
81#define DBL_MIN_EXP (-1021) // min binary exponent
82#define _DBL_RADIX 2 // exponent radix
83#define DBL_TRUE_MIN 4.9406564584124654e-324 // min positive value
84
85#define FLT_DECIMAL_DIG 9 // # of decimal digits of rounding precision
86#define FLT_DIG 6 // # of decimal digits of precision
87#define FLT_EPSILON 1.192092896e-07F // smallest such that 1.0+FLT_EPSILON != 1.0
88#define FLT_HAS_SUBNORM 1 // type does support subnormal numbers
89#define FLT_GUARD 0
90#define FLT_MANT_DIG 24 // # of bits in mantissa
91#define FLT_MAX 3.402823466e+38F // max value
92#define FLT_MAX_10_EXP 38 // max decimal exponent
93#define FLT_MAX_EXP 128 // max binary exponent
94#define FLT_MIN 1.175494351e-38F // min normalized positive value
95#define FLT_MIN_10_EXP (-37) // min decimal exponent
96#define FLT_MIN_EXP (-125) // min binary exponent
97#define FLT_NORMALIZE 0
98#define FLT_RADIX 2 // exponent radix
99#define FLT_TRUE_MIN 1.401298464e-45F // min positive value
100
101#define LDBL_DIG DBL_DIG // # of decimal digits of precision
102#define LDBL_EPSILON DBL_EPSILON // smallest such that 1.0+LDBL_EPSILON != 1.0
103#define LDBL_HAS_SUBNORM DBL_HAS_SUBNORM // type does support subnormal numbers
104#define LDBL_MANT_DIG DBL_MANT_DIG // # of bits in mantissa
105#define LDBL_MAX DBL_MAX // max value
106#define LDBL_MAX_10_EXP DBL_MAX_10_EXP // max decimal exponent
107#define LDBL_MAX_EXP DBL_MAX_EXP // max binary exponent
108#define LDBL_MIN DBL_MIN // min normalized positive value
109#define LDBL_MIN_10_EXP DBL_MIN_10_EXP // min decimal exponent
110#define LDBL_MIN_EXP DBL_MIN_EXP // min binary exponent
111#define _LDBL_RADIX _DBL_RADIX // exponent radix
112#define LDBL_TRUE_MIN DBL_TRUE_MIN // min positive value
113
114#define DECIMAL_DIG DBL_DECIMAL_DIG
115
116
117
118//-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
119//
120// Flags
121//
122//-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
123#define _SW_INEXACT 0x00000001 // Inexact (precision)
124#define _SW_UNDERFLOW 0x00000002 // Underflow
125#define _SW_OVERFLOW 0x00000004 // Overflow
126#define _SW_ZERODIVIDE 0x00000008 // Divide by zero
127#define _SW_INVALID 0x00000010 // Invalid
128#define _SW_DENORMAL 0x00080000 // Denormal status bit
129
130// New Control Bit that specifies the ambiguity in control word.
131#define _EM_AMBIGUIOUS 0x80000000 // For backwards compatibility
132#define _EM_AMBIGUOUS 0x80000000
133
134// Abstract User Control Word Mask and bit definitions
135#define _MCW_EM 0x0008001f // Interrupt Exception Masks
136#define _EM_INEXACT 0x00000001 // inexact (precision)
137#define _EM_UNDERFLOW 0x00000002 // underflow
138#define _EM_OVERFLOW 0x00000004 // overflow
139#define _EM_ZERODIVIDE 0x00000008 // zero divide
140#define _EM_INVALID 0x00000010 // invalid
141#define _EM_DENORMAL 0x00080000 // Denormal exception mask (_control87 only)
142
143#define _MCW_RC 0x00000300 // Rounding Control
144#define _RC_NEAR 0x00000000 // near
145#define _RC_DOWN 0x00000100 // down
146#define _RC_UP 0x00000200 // up
147#define _RC_CHOP 0x00000300 // chop
148
149// i386 specific definitions
150#define _MCW_PC 0x00030000 // Precision Control
151#define _PC_64 0x00000000 // 64 bits
152#define _PC_53 0x00010000 // 53 bits
153#define _PC_24 0x00020000 // 24 bits
154
155#define _MCW_IC 0x00040000 // Infinity Control
156#define _IC_AFFINE 0x00040000 // affine
157#define _IC_PROJECTIVE 0x00000000 // projective
158
159// RISC specific definitions
160#define _MCW_DN 0x03000000 // Denormal Control
161#define _DN_SAVE 0x00000000 // save denormal results and operands
162#define _DN_FLUSH 0x01000000 // flush denormal results and operands to zero
163#define _DN_FLUSH_OPERANDS_SAVE_RESULTS 0x02000000 // flush operands to zero and save results
164#define _DN_SAVE_OPERANDS_FLUSH_RESULTS 0x03000000 // save operands and flush results to zero
165
166
167
168// Invalid subconditions (_SW_INVALID also set)
169#define _SW_UNEMULATED 0x0040 // Unemulated instruction
170#define _SW_SQRTNEG 0x0080 // Square root of a negative number
171#define _SW_STACKOVERFLOW 0x0200 // FP stack overflow
172#define _SW_STACKUNDERFLOW 0x0400 // FP stack underflow
173
174
175
176// Floating point error signals and return codes
177#define _FPE_INVALID 0x81
178#define _FPE_DENORMAL 0x82
179#define _FPE_ZERODIVIDE 0x83
180#define _FPE_OVERFLOW 0x84
181#define _FPE_UNDERFLOW 0x85
182#define _FPE_INEXACT 0x86
183
184#define _FPE_UNEMULATED 0x87
185#define _FPE_SQRTNEG 0x88
186#define _FPE_STACKOVERFLOW 0x8a
187#define _FPE_STACKUNDERFLOW 0x8b
188
189#define _FPE_EXPLICITGEN 0x8c // raise(SIGFPE);
190
191// On x86 with arch:SSE2, the OS returns these exceptions
192#define _FPE_MULTIPLE_TRAPS 0x8d
193#define _FPE_MULTIPLE_FAULTS 0x8e
194
195
196
197#define _FPCLASS_SNAN 0x0001 // signaling NaN
198#define _FPCLASS_QNAN 0x0002 // quiet NaN
199#define _FPCLASS_NINF 0x0004 // negative infinity
200#define _FPCLASS_NN 0x0008 // negative normal
201#define _FPCLASS_ND 0x0010 // negative denormal
202#define _FPCLASS_NZ 0x0020 // -0
203#define _FPCLASS_PZ 0x0040 // +0
204#define _FPCLASS_PD 0x0080 // positive denormal
205#define _FPCLASS_PN 0x0100 // positive normal
206#define _FPCLASS_PINF 0x0200 // positive infinity
207
208
209
210// Initial Control Word value
211#if defined _M_IX86
212
213 #define _CW_DEFAULT (_RC_NEAR + _PC_53 + _EM_INVALID + _EM_ZERODIVIDE + _EM_OVERFLOW + _EM_UNDERFLOW + _EM_INEXACT + _EM_DENORMAL)
214
215#elif defined _M_X64 || defined _M_ARM || defined _M_ARM64
216
217 #define _CW_DEFAULT (_RC_NEAR + _EM_INVALID + _EM_ZERODIVIDE + _EM_OVERFLOW + _EM_UNDERFLOW + _EM_INEXACT + _EM_DENORMAL)
218
219#endif
220
221
222
223//-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
224//
225// State Manipulation
226//
227//-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
228// Note that reading or writing the floating point control or status words is
229// not supported in managed code.
231_ACRTIMP unsigned int __cdecl _clearfp(void);
232
233#pragma warning(push)
234#pragma warning(disable: 4141) // Double deprecation
235
237_ACRTIMP unsigned int __cdecl _controlfp(
238 _In_ unsigned int _NewValue,
239 _In_ unsigned int _Mask
240 );
241
242#pragma warning(pop)
243
246 _In_ unsigned int _NewValue,
247 _In_ unsigned int _Mask
248 );
249
252 _Out_opt_ unsigned int* _CurrentState,
253 _In_ unsigned int _NewValue,
254 _In_ unsigned int _Mask
255 );
256
258_ACRTIMP unsigned int __cdecl _statusfp(void);
259
261_ACRTIMP void __cdecl _fpreset(void);
262
263#ifdef _M_IX86
264
266 _ACRTIMP void __cdecl _statusfp2(
267 _Out_opt_ unsigned int* _X86Status,
268 _Out_opt_ unsigned int* _SSE2Status
269 );
270
271#endif
272
273#define _clear87 _clearfp
274#define _status87 _statusfp
275
278 _In_ unsigned int _NewValue,
279 _In_ unsigned int _Mask
280 );
281
282#ifdef _M_IX86
284 _ACRTIMP int __cdecl __control87_2(
285 _In_ unsigned int _NewValue,
286 _In_ unsigned int _Mask,
287 _Out_opt_ unsigned int* _X86ControlWord,
288 _Out_opt_ unsigned int* _Sse2ControlWord
289 );
290#endif
291
292// Global variable holding floating point error code
294_ACRTIMP int* __cdecl __fpecode(void);
295
296#define _fpecode (*__fpecode())
297
300
301#define FLT_ROUNDS (__fpe_flt_rounds())
302#define _DBL_ROUNDS FLT_ROUNDS
303#define _LDBL_ROUNDS _DBL_ROUNDS
304
305
306
307//-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
308//
309// IEEE Recommended Functions
310//
311//-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
312_Check_return_ _ACRTIMP double __cdecl _copysign(_In_ double _Number, _In_ double _Sign);
320
321#ifdef _M_X64
322 _Check_return_ _ACRTIMP float __cdecl _scalbf(_In_ float _X, _In_ long _Y);
323#endif
324
325
326
327//-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
328//
329// Nonstandard Names for Compatibility
330//
331//-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
332#if defined(_CRT_INTERNAL_NONSTDC_NAMES) && _CRT_INTERNAL_NONSTDC_NAMES
333
334 #define clear87 _clear87
335 #define status87 _status87
336 #define control87 _control87
337
339 _ACRTIMP void __cdecl fpreset(void);
340
341 #define DBL_RADIX _DBL_RADIX
342 #define DBL_ROUNDS _DBL_ROUNDS
343
344 #define LDBL_RADIX _LDBL_RADIX
345 #define LDBL_ROUNDS _LDBL_ROUNDS
346
347 // For backwards compatibility with the old spelling
348 #define EM_AMBIGUIOUS _EM_AMBIGUOUS
349 #define EM_AMBIGUOUS _EM_AMBIGUOUS
350
351 #define MCW_EM _MCW_EM
352 #define EM_INVALID _EM_INVALID
353 #define EM_DENORMAL _EM_DENORMAL
354 #define EM_ZERODIVIDE _EM_ZERODIVIDE
355 #define EM_OVERFLOW _EM_OVERFLOW
356 #define EM_UNDERFLOW _EM_UNDERFLOW
357 #define EM_INEXACT _EM_INEXACT
358
359 #define MCW_IC _MCW_IC
360 #define IC_AFFINE _IC_AFFINE
361 #define IC_PROJECTIVE _IC_PROJECTIVE
362
363 #define MCW_RC _MCW_RC
364 #define RC_CHOP _RC_CHOP
365 #define RC_UP _RC_UP
366 #define RC_DOWN _RC_DOWN
367 #define RC_NEAR _RC_NEAR
368
369 #define MCW_PC _MCW_PC
370 #define PC_24 _PC_24
371 #define PC_53 _PC_53
372 #define PC_64 _PC_64
373
374 #define CW_DEFAULT _CW_DEFAULT
375
376 #define SW_INVALID _SW_INVALID
377 #define SW_DENORMAL _SW_DENORMAL
378 #define SW_ZERODIVIDE _SW_ZERODIVIDE
379 #define SW_OVERFLOW _SW_OVERFLOW
380 #define SW_UNDERFLOW _SW_UNDERFLOW
381 #define SW_INEXACT _SW_INEXACT
382
383 #define SW_UNEMULATED _SW_UNEMULATED
384 #define SW_SQRTNEG _SW_SQRTNEG
385 #define SW_STACKOVERFLOW _SW_STACKOVERFLOW
386 #define SW_STACKUNDERFLOW _SW_STACKUNDERFLOW
387
388 #define FPE_INVALID _FPE_INVALID
389 #define FPE_DENORMAL _FPE_DENORMAL
390 #define FPE_ZERODIVIDE _FPE_ZERODIVIDE
391 #define FPE_OVERFLOW _FPE_OVERFLOW
392 #define FPE_UNDERFLOW _FPE_UNDERFLOW
393 #define FPE_INEXACT _FPE_INEXACT
394
395 #define FPE_UNEMULATED _FPE_UNEMULATED
396 #define FPE_SQRTNEG _FPE_SQRTNEG
397 #define FPE_STACKOVERFLOW _FPE_STACKOVERFLOW
398 #define FPE_STACKUNDERFLOW _FPE_STACKUNDERFLOW
399
400 #define FPE_EXPLICITGEN _FPE_EXPLICITGEN
401
402#endif // _CRT_INTERNAL_NONSTDC_NAMES
403
404
405
408#pragma warning(pop) // _UCRT_DISABLED_WARNINGS
409#endif // _INC_FLOAT
#define _X(x)
Definition: CPath.cpp:42
#define __cdecl
Definition: accygwin.h:79
_Check_return_ __MINGW_NOTHROW _CRTIMP int __cdecl _fpclass(_In_ double)
_Check_return_ __MINGW_NOTHROW _CRTIMP double __cdecl _logb(_In_ double)
__MINGW_NOTHROW _CRTIMP int *__cdecl __fpecode(void)
Definition: fpecode.c:16
_Check_return_ __MINGW_NOTHROW _CRTIMP double __cdecl _nextafter(_In_ double, _In_ double)
__MINGW_NOTHROW _CRTIMP unsigned int __cdecl _control87(_In_ unsigned int unNew, _In_ unsigned int unMask)
__MINGW_NOTHROW _CRTIMP unsigned int __cdecl _controlfp(_In_ unsigned int unNew, _In_ unsigned int unMask)
__MINGW_NOTHROW void __cdecl _fpreset(void)
Definition: _fpreset.c:10
_Check_return_ __MINGW_NOTHROW _CRTIMP double __cdecl _scalb(_In_ double, _In_ long)
_Check_return_ __MINGW_NOTHROW _CRTIMP int __cdecl _isnan(_In_ double)
_Check_return_ __MINGW_NOTHROW _CRTIMP double __cdecl _chgsign(_In_ double)
_Check_return_ __MINGW_NOTHROW _CRTIMP int __cdecl _finite(_In_ double)
_Check_return_ __MINGW_NOTHROW _CRTIMP double __cdecl _copysign(_In_ double, _In_ double)
__MINGW_NOTHROW _CRTIMP unsigned int __cdecl _clearfp(void)
Definition: _clearfp.c:11
__MINGW_NOTHROW _CRTIMP unsigned int __cdecl _statusfp(void)
Definition: _statusfp.c:11
__MINGW_NOTHROW void __cdecl fpreset(void)
_CRT_MANAGED_FP_DEPRECATE _ACRTIMP void __cdecl _set_controlfp(_In_ unsigned int _NewValue, _In_ unsigned int _Mask)
_Check_return_ _ACRTIMP int __cdecl __fpe_flt_rounds(void)
#define _CRT_MANAGED_FP_DEPRECATE
Definition: float.h:30
_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 _In_ unsigned int _Mask
Definition: float.h:240
#define _Out_opt_
Definition: no_sal2.h:214
#define _Check_return_
Definition: no_sal2.h:60
#define _In_
Definition: no_sal2.h:158
#define _ACRTIMP
Definition: corecrt.h:138
#define _UCRT_DISABLE_CLANG_WARNINGS
Definition: corecrt.h:109
#define _UCRT_RESTORE_CLANG_WARNINGS
Definition: corecrt.h:117
int errno_t
Definition: corecrt.h:615
#define _CRT_END_C_HEADER
Definition: vcruntime.h:42
#define _CRT_BEGIN_C_HEADER
Definition: vcruntime.h:40
#define _CRT_INSECURE_DEPRECATE(_Replacement)
Definition: vcruntime.h:99