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float.h (10989B) - Raw


      1 /*
      2  * float.h
      3  * This file has no copyright assigned and is placed in the Public Domain.
      4  * This file is part of the mingw-runtime package.
      5  * No warranty is given; refer to the file DISCLAIMER.PD within the package.
      6  *
      7  * Constants related to floating point arithmetic.
      8  *
      9  * Also included here are some non-ANSI bits for accessing the floating
     10  * point controller.
     11  *
     12  */
     13 
     14 #if defined(__LIBMSVCRT__)
     15 /* When building mingw-w64, this should be blank.  */
     16 #define _SECIMP
     17 #else
     18 #ifndef _SECIMP
     19 #define _SECIMP __declspec(dllimport)
     20 #endif /* _SECIMP */
     21 #endif /* defined(__LIBMSVCRT__) */
     22 
     23 #if (defined (__GNUC__) && defined (__GNUC_MINOR__)) \
     24     || (defined(__clang__) && defined(__clang_major__))
     25 #if (__GNUC__ < 4  || (__GNUC__ == 4 && __GNUC_MINOR__ < 6)) \
     26     || (__clang_major__ >=3)
     27 #if !defined(_FLOAT_H___) && !defined(__FLOAT_H) && !defined(__CLANG_FLOAT_H)
     28 #include_next <float.h>
     29 #endif
     30 #elif !defined (_FLOAT_H___)
     31 #if (__GNUC__ < 4)
     32 #error Corrupt install of gcc-s internal headers, or search order was changed.
     33 #else
     34 	/* #include_next <float_ginclude.h> */
     35 	
     36    	/* Number of decimal digits, q, such that any floating-point number with q
     37    	   decimal digits can be rounded into a floating-point number with p radix b
     38 	   digits and back again without change to the q decimal digits,
     39 
     40 	   p * log10(b)			if b is a power of 10
     41 	   floor((p - 1) * log10(b))	otherwise
     42 	*/
     43 	#undef FLT_DIG
     44 	#undef DBL_DIG
     45 	#undef LDBL_DIG
     46 	#define FLT_DIG		__FLT_DIG__
     47 	#define DBL_DIG		__DBL_DIG__
     48 	#define LDBL_DIG	__LDBL_DIG__
     49 	
     50 	
     51 	/* Maximum representable finite floating-point number,
     52 
     53 	   (1 - b**-p) * b**emax
     54 	*/
     55 	#undef FLT_MAX
     56 	#undef DBL_MAX
     57 	#undef LDBL_MAX
     58 	#define FLT_MAX		__FLT_MAX__
     59 	#define DBL_MAX		__DBL_MAX__
     60 	#define LDBL_MAX	__LDBL_MAX__
     61 	
     62 	
     63 	/* Minimum normalized positive floating-point number, b**(emin - 1).  */
     64 	#undef FLT_MIN
     65 	#undef DBL_MIN
     66 	#undef LDBL_MIN
     67 	#define FLT_MIN		__FLT_MIN__
     68 	#define DBL_MIN		__DBL_MIN__
     69 	#define LDBL_MIN	__LDBL_MIN__
     70 	
     71 	/* Needed for libjava building - Victor K. */
     72 
     73 	/* Radix of exponent representation, b. */
     74     #undef FLT_RADIX
     75     #define FLT_RADIX	__FLT_RADIX__
     76     
     77     /* Minimum int x such that FLT_RADIX**(x-1) is a normalized float, emin */
     78 	#undef FLT_MIN_EXP
     79 	#undef DBL_MIN_EXP
     80 	#undef LDBL_MIN_EXP
     81 	#define FLT_MIN_EXP	__FLT_MIN_EXP__
     82 	#define DBL_MIN_EXP	__DBL_MIN_EXP__
     83 	#define LDBL_MIN_EXP	__LDBL_MIN_EXP__
     84 
     85 	/* Minimum negative integer such that 10 raised to that power is in the
     86    	range of normalized floating-point numbers,
     87 
     88 	ceil(log10(b) * (emin - 1))
     89 	*/
     90 	#undef FLT_MIN_10_EXP
     91 	#undef DBL_MIN_10_EXP
     92 	#undef LDBL_MIN_10_EXP
     93 	#define FLT_MIN_10_EXP	__FLT_MIN_10_EXP__
     94 	#define DBL_MIN_10_EXP	__DBL_MIN_10_EXP__
     95 	#define LDBL_MIN_10_EXP	__LDBL_MIN_10_EXP__
     96 
     97 	/* Maximum int x such that FLT_RADIX**(x-1) is a representable float, emax.  */
     98 	#undef FLT_MAX_EXP
     99 	#undef DBL_MAX_EXP
    100 	#undef LDBL_MAX_EXP
    101 	#define FLT_MAX_EXP	__FLT_MAX_EXP__
    102 	#define DBL_MAX_EXP	__DBL_MAX_EXP__
    103 	#define LDBL_MAX_EXP	__LDBL_MAX_EXP__
    104 
    105 	/* Maximum integer such that 10 raised to that power is in the range of
    106    	representable finite floating-point numbers,
    107 
    108 	floor(log10((1 - b**-p) * b**emax))
    109 	*/
    110 	#undef FLT_MAX_10_EXP
    111 	#undef DBL_MAX_10_EXP
    112 	#undef LDBL_MAX_10_EXP
    113 	#define FLT_MAX_10_EXP	__FLT_MAX_10_EXP__
    114 	#define DBL_MAX_10_EXP	__DBL_MAX_10_EXP__
    115 	#define LDBL_MAX_10_EXP	__LDBL_MAX_10_EXP__
    116 
    117 	/* Addition rounds to 0: zero, 1: nearest, 2: +inf, 3: -inf, -1: unknown.  */
    118 	/* ??? This is supposed to change with calls to fesetround in <fenv.h>.  */
    119 	#undef FLT_ROUNDS
    120 	#define FLT_ROUNDS 1
    121 
    122 	#undef FLT_EPSILON
    123 	#undef DBL_EPSILON
    124 	#undef LDBL_EPSILON
    125 	#define FLT_EPSILON __FLT_EPSILON__
    126 	#define DBL_EPSILON __DBL_EPSILON__
    127 	#define LDBL_EPSILON __LDBL_EPSILON__
    128     
    129 	#define _FLOAT_H___
    130 #endif
    131 #endif
    132 #endif
    133 
    134 #ifndef _MINGW_FLOAT_H_
    135 #define _MINGW_FLOAT_H_
    136 
    137 /* All the headers include this file. */
    138 #include <crtdefs.h>
    139 
    140 /*
    141  * Functions and definitions for controlling the FPU.
    142  */
    143 
    144 /* TODO: These constants are only valid for x86 machines */
    145 
    146 /* Control word masks for unMask */
    147 #define	_MCW_DN  	0x03000000  	/* Denormal control */
    148 #define	_MCW_EM		0x0008001F	/* Error masks */
    149 #define	_MCW_IC		0x00040000	/* Infinity */
    150 #define	_MCW_RC		0x00000300	/* Rounding */
    151 #define	_MCW_PC		0x00030000	/* Precision */
    152 
    153 /* Number of base-FLT_RADIX digits in the significand, p.  */
    154 #undef FLT_MANT_DIG
    155 #undef DBL_MANT_DIG
    156 #undef LDBL_MANT_DIG
    157 #define FLT_MANT_DIG   __FLT_MANT_DIG__
    158 #define DBL_MANT_DIG   __DBL_MANT_DIG__
    159 #define LDBL_MANT_DIG  __LDBL_MANT_DIG__
    160 
    161 #if defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    162 /* The floating-point expression evaluation method.
    163       -1  indeterminate
    164        0  evaluate all operations and constants just to the range and
    165 	  precision of the type
    166        1  evaluate operations and constants of type float and double
    167 	  to the range and precision of the double type, evaluate
    168 	  long double operations and constants to the range and
    169 	  precision of the long double type
    170        2  evaluate all operations and constants to the range and
    171 	  precision of the long double type
    172 
    173    ??? This ought to change with the setting of the fp control word;
    174    the value provided by the compiler assumes the widest setting.  */
    175 #undef FLT_EVAL_METHOD
    176 #define FLT_EVAL_METHOD	__FLT_EVAL_METHOD__
    177 
    178 #endif /* C99 */
    179 
    180 
    181 /* Control word values for unNew (use with related unMask above) */
    182 #define	_DN_SAVE	0x00000000
    183 #define	_DN_FLUSH	0x01000000
    184 #define	_DN_FLUSH_OPERANDS_SAVE_RESULTS 0x02000000
    185 #define	_DN_SAVE_OPERANDS_FLUSH_RESULTS 0x03000000
    186 #define	_EM_INVALID	0x00000010
    187 #define	_EM_DENORMAL	0x00080000
    188 #define	_EM_ZERODIVIDE	0x00000008
    189 #define	_EM_OVERFLOW	0x00000004
    190 #define	_EM_UNDERFLOW	0x00000002
    191 #define	_EM_INEXACT	0x00000001
    192 #define	_IC_AFFINE	0x00040000
    193 #define	_IC_PROJECTIVE	0x00000000
    194 #define	_RC_CHOP	0x00000300
    195 #define	_RC_UP		0x00000200
    196 #define	_RC_DOWN	0x00000100
    197 #define	_RC_NEAR	0x00000000
    198 #define	_PC_24		0x00020000
    199 #define	_PC_53		0x00010000
    200 #define	_PC_64		0x00000000
    201 #define	_EM_AMBIGUOUS   0x80000000
    202 
    203 /* These are also defined in Mingw math.h, needed to work around
    204    GCC build issues.  */
    205 /* Return values for fpclass. */
    206 #ifndef __MINGW_FPCLASS_DEFINED
    207 #define __MINGW_FPCLASS_DEFINED 1
    208 #define	_FPCLASS_SNAN	0x0001	/* Signaling "Not a Number" */
    209 #define	_FPCLASS_QNAN	0x0002	/* Quiet "Not a Number" */
    210 #define	_FPCLASS_NINF	0x0004	/* Negative Infinity */
    211 #define	_FPCLASS_NN	0x0008	/* Negative Normal */
    212 #define	_FPCLASS_ND	0x0010	/* Negative Denormal */
    213 #define	_FPCLASS_NZ	0x0020	/* Negative Zero */
    214 #define	_FPCLASS_PZ	0x0040	/* Positive Zero */
    215 #define	_FPCLASS_PD	0x0080	/* Positive Denormal */
    216 #define	_FPCLASS_PN	0x0100	/* Positive Normal */
    217 #define	_FPCLASS_PINF	0x0200	/* Positive Infinity */
    218 #endif /* __MINGW_FPCLASS_DEFINED */
    219 
    220 /* _statusfp bit flags */
    221 #define _SW_INEXACT    0x00000001 /* inexact (precision) */
    222 #define _SW_UNDERFLOW  0x00000002 /* underflow */
    223 #define _SW_OVERFLOW   0x00000004 /* overflow */
    224 #define _SW_ZERODIVIDE 0x00000008 /* zero divide */
    225 #define _SW_INVALID    0x00000010 /* invalid */
    226 #define _SW_DENORMAL   0x00080000 /* denormal status bit */
    227 
    228 /* invalid subconditions (_SW_INVALID also set) */
    229 #define _SW_UNEMULATED		0x0040  /* unemulated instruction */
    230 #define _SW_SQRTNEG		0x0080  /* square root of a neg number */
    231 #define _SW_STACKOVERFLOW	0x0200  /* FP stack overflow */
    232 #define _SW_STACKUNDERFLOW	0x0400  /* FP stack underflow */
    233 
    234 /*  Floating point error signals and return codes */
    235 #define _FPE_INVALID		0x81
    236 #define _FPE_DENORMAL		0x82
    237 #define _FPE_ZERODIVIDE		0x83
    238 #define _FPE_OVERFLOW		0x84
    239 #define _FPE_UNDERFLOW		0x85
    240 #define _FPE_INEXACT		0x86
    241 #define _FPE_UNEMULATED		0x87
    242 #define _FPE_SQRTNEG		0x88
    243 #define _FPE_STACKOVERFLOW	0x8a
    244 #define _FPE_STACKUNDERFLOW	0x8b
    245 #define _FPE_EXPLICITGEN	0x8c    /* raise( SIGFPE ); */
    246 
    247 #ifndef	__STRICT_ANSI__
    248 #define CW_DEFAULT _CW_DEFAULT
    249 #define MCW_PC  _MCW_PC
    250 #define PC_24   _PC_24
    251 #define PC_53   _PC_53
    252 #define PC_64   _PC_64
    253 #endif	/* Not __STRICT_ANSI__ */
    254 
    255 #if defined(__i386__)
    256 #define _CW_DEFAULT (_RC_NEAR+_PC_53+_EM_INVALID+_EM_ZERODIVIDE+_EM_OVERFLOW+_EM_UNDERFLOW+_EM_INEXACT+_EM_DENORMAL)
    257 #elif defined(__ia64__)
    258 #define _CW_DEFAULT (_RC_NEAR+_PC_64+_EM_INVALID+_EM_ZERODIVIDE+_EM_OVERFLOW+_EM_UNDERFLOW+_EM_INEXACT+_EM_DENORMAL)
    259 #elif defined(__x86_64__) || defined(__arm__) || defined(__aarch64__)
    260 #define _CW_DEFAULT (_RC_NEAR+_EM_INVALID+_EM_ZERODIVIDE+_EM_OVERFLOW+_EM_UNDERFLOW+_EM_INEXACT+_EM_DENORMAL)
    261 #endif
    262 
    263 #ifndef RC_INVOKED
    264 
    265 #ifdef	__cplusplus
    266 extern "C" {
    267 #endif
    268 
    269 /* Set the FPU control word as cw = (cw & ~unMask) | (unNew & unMask),
    270  * i.e. change the bits in unMask to have the values they have in unNew,
    271  * leaving other bits unchanged. */
    272 _CRTIMP unsigned int __cdecl __MINGW_NOTHROW _controlfp (unsigned int _NewValue, unsigned int _Mask) __MINGW_ATTRIB_DEPRECATED_SEC_WARN;
    273 _SECIMP errno_t __cdecl _controlfp_s(unsigned int *_CurrentState, unsigned int _NewValue, unsigned int _Mask);
    274 _CRTIMP unsigned int __cdecl __MINGW_NOTHROW _control87 (unsigned int _NewValue, unsigned int _Mask);
    275 #ifdef __i386__
    276 _CRTIMP int __cdecl __control87_2(unsigned int, unsigned int, unsigned int *, unsigned int *);
    277 #endif
    278 
    279 
    280 _CRTIMP unsigned int __cdecl __MINGW_NOTHROW _clearfp (void);	/* Clear the FPU status word */
    281 _CRTIMP unsigned int __cdecl __MINGW_NOTHROW _statusfp (void);	/* Report the FPU status word */
    282 #define		_clear87	_clearfp
    283 #define		_status87	_statusfp
    284 
    285 
    286 /*
    287    MSVCRT.dll _fpreset initializes the control register to 0x27f,
    288    the status register to zero and the tag word to 0FFFFh.
    289    This differs from asm instruction finit/fninit which set control
    290    word to 0x37f (64 bit mantissa precison rather than 53 bit).
    291    By default, the mingw version of _fpreset sets fp control as
    292    per fninit. To use the MSVCRT.dll _fpreset, include CRT_fp8.o when
    293    building your application.	 
    294 */
    295 void __cdecl __MINGW_NOTHROW _fpreset (void);
    296 #ifndef __STRICT_ANSI__
    297 void __cdecl __MINGW_NOTHROW fpreset (void);
    298 #endif	/* Not __STRICT_ANSI__ */
    299 
    300 /* Global 'variable' for the current floating point error code. */
    301 _CRTIMP int * __cdecl __MINGW_NOTHROW __fpecode(void);
    302 #define	_fpecode	(*(__fpecode()))
    303 
    304 /*
    305  * IEEE recommended functions.  MS puts them in float.h
    306  * but they really belong in math.h.
    307  */
    308 
    309 #ifndef _SIGN_DEFINED
    310 #define _SIGN_DEFINED
    311 _CRTIMP double __cdecl __MINGW_NOTHROW _chgsign (double _X);
    312 _CRTIMP double __cdecl __MINGW_NOTHROW _copysign (double _Number,double _Sign);
    313 _CRTIMP double __cdecl __MINGW_NOTHROW _logb (double);
    314 _CRTIMP double __cdecl __MINGW_NOTHROW _nextafter (double, double);
    315 _CRTIMP double __cdecl __MINGW_NOTHROW _scalb (double, long);
    316 
    317 _CRTIMP int __cdecl __MINGW_NOTHROW _finite (double);
    318 _CRTIMP int __cdecl __MINGW_NOTHROW _fpclass (double);
    319 _CRTIMP int __cdecl __MINGW_NOTHROW _isnan (double);
    320 
    321 #define _copysignl copysignl
    322 extern long double __cdecl _chgsignl (long double);
    323 #endif /* _SIGN_DEFINED */
    324 
    325 #ifdef	__cplusplus
    326 }
    327 #endif
    328 
    329 #endif	/* Not RC_INVOKED */
    330 
    331 #endif /* _MINGW_FLOAT_H_ */
    332