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- /*
- * math.h
- *
- * Mathematical functions.
- *
- * This file is part of the Mingw32 package.
- *
- * Contributors:
- * Created by Colin Peters <[email protected]>
- *
- * THIS SOFTWARE IS NOT COPYRIGHTED
- *
- * This source code is offered for use in the public domain. You may
- * use, modify or distribute it freely.
- *
- * This code is distributed in the hope that it will be useful but
- * WITHOUT ANY WARRANTY. ALL WARRANTIES, EXPRESS OR IMPLIED ARE HEREBY
- * DISCLAIMED. This includes but is not limited to warranties of
- * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
- *
- * $Revision: 1.2 $
- * $Author: bellard $
- * $Date: 2005/04/17 13:14:29 $
- *
- */
- #ifndef _MATH_H_
- #define _MATH_H_
- /* All the headers include this file. */
- #include <_mingw.h>
- /*
- * Types for the _exception structure.
- */
- #define _DOMAIN 1 /* domain error in argument */
- #define _SING 2 /* singularity */
- #define _OVERFLOW 3 /* range overflow */
- #define _UNDERFLOW 4 /* range underflow */
- #define _TLOSS 5 /* total loss of precision */
- #define _PLOSS 6 /* partial loss of precision */
- /*
- * Exception types with non-ANSI names for compatibility.
- */
- #ifndef __STRICT_ANSI__
- #ifndef _NO_OLDNAMES
- #define DOMAIN _DOMAIN
- #define SING _SING
- #define OVERFLOW _OVERFLOW
- #define UNDERFLOW _UNDERFLOW
- #define TLOSS _TLOSS
- #define PLOSS _PLOSS
- #endif /* Not _NO_OLDNAMES */
- #endif /* Not __STRICT_ANSI__ */
- /* These are also defined in Mingw float.h; needed here as well to work
- around GCC build issues. */
- #ifndef __STRICT_ANSI__
- #ifndef __MINGW_FPCLASS_DEFINED
- #define __MINGW_FPCLASS_DEFINED 1
- /* IEEE 754 classication */
- #define _FPCLASS_SNAN 0x0001 /* Signaling "Not a Number" */
- #define _FPCLASS_QNAN 0x0002 /* Quiet "Not a Number" */
- #define _FPCLASS_NINF 0x0004 /* Negative Infinity */
- #define _FPCLASS_NN 0x0008 /* Negative Normal */
- #define _FPCLASS_ND 0x0010 /* Negative Denormal */
- #define _FPCLASS_NZ 0x0020 /* Negative Zero */
- #define _FPCLASS_PZ 0x0040 /* Positive Zero */
- #define _FPCLASS_PD 0x0080 /* Positive Denormal */
- #define _FPCLASS_PN 0x0100 /* Positive Normal */
- #define _FPCLASS_PINF 0x0200 /* Positive Infinity */
- #endif /* __MINGW_FPCLASS_DEFINED */
- #endif /* Not __STRICT_ANSI__ */
- #ifndef RC_INVOKED
- #ifdef __cplusplus
- extern "C" {
- #endif
- /*
- * HUGE_VAL is returned by strtod when the value would overflow the
- * representation of 'double'. There are other uses as well.
- *
- * __imp__HUGE is a pointer to the actual variable _HUGE in
- * MSVCRT.DLL. If we used _HUGE directly we would get a pointer
- * to a thunk function.
- *
- * NOTE: The CRTDLL version uses _HUGE_dll instead.
- */
- #ifndef __DECLSPEC_SUPPORTED
- #ifdef __MSVCRT__
- extern double* __imp__HUGE;
- #define HUGE_VAL (*__imp__HUGE)
- #else
- /* CRTDLL */
- extern double* __imp__HUGE_dll;
- #define HUGE_VAL (*__imp__HUGE_dll)
- #endif
- #else /* __DECLSPEC_SUPPORTED */
- #ifdef __MSVCRT__
- __MINGW_IMPORT double _HUGE;
- #define HUGE_VAL _HUGE
- #else
- /* CRTDLL */
- __MINGW_IMPORT double _HUGE_dll;
- #define HUGE_VAL _HUGE_dll
- #endif
- #endif /* __DECLSPEC_SUPPORTED */
- struct _exception
- {
- int type;
- char *name;
- double arg1;
- double arg2;
- double retval;
- };
- double sin (double);
- double cos (double);
- double tan (double);
- double sinh (double);
- double cosh (double);
- double tanh (double);
- double asin (double);
- double acos (double);
- double atan (double);
- double atan2 (double, double);
- double exp (double);
- double log (double);
- double log10 (double);
- double pow (double, double);
- double sqrt (double);
- double ceil (double);
- double floor (double);
- double fabs (double);
- double ldexp (double, int);
- double frexp (double, int*);
- double modf (double, double*);
- double fmod (double, double);
- #ifndef __STRICT_ANSI__
- /* Complex number (for cabs) */
- struct _complex
- {
- double x; /* Real part */
- double y; /* Imaginary part */
- };
- double _cabs (struct _complex);
- double _hypot (double, double);
- double _j0 (double);
- double _j1 (double);
- double _jn (int, double);
- double _y0 (double);
- double _y1 (double);
- double _yn (int, double);
- int _matherr (struct _exception *);
- /* These are also declared in Mingw float.h; needed here as well to work
- around GCC build issues. */
- /* BEGIN FLOAT.H COPY */
- /*
- * IEEE recommended functions
- */
- double _chgsign (double);
- double _copysign (double, double);
- double _logb (double);
- double _nextafter (double, double);
- double _scalb (double, long);
- int _finite (double);
- int _fpclass (double);
- int _isnan (double);
- /* END FLOAT.H COPY */
- #if !defined (_NO_OLDNAMES) \
- || (defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L )
- /*
- * Non-underscored versions of non-ANSI functions. These reside in
- * liboldnames.a. They are now also ISO C99 standand names.
- * Provided for extra portability.
- */
- double cabs (struct _complex);
- double hypot (double, double);
- double j0 (double);
- double j1 (double);
- double jn (int, double);
- double y0 (double);
- double y1 (double);
- double yn (int, double);
- #endif /* Not _NO_OLDNAMES */
- #endif /* Not __STRICT_ANSI__ */
- #ifdef __cplusplus
- }
- #endif
- #endif /* Not RC_INVOKED */
- #ifndef __NO_ISOCEXT
- #define INFINITY HUGE_VAL
- #define NAN (0.0F/0.0F)
- /*
- Return values for fpclassify.
- These are based on Intel x87 fpu condition codes
- in the high byte of status word and differ from
- the return values for MS IEEE 754 extension _fpclass()
- */
- #define FP_NAN 0x0100
- #define FP_NORMAL 0x0400
- #define FP_INFINITE (FP_NAN | FP_NORMAL)
- #define FP_ZERO 0x4000
- #define FP_SUBNORMAL (FP_NORMAL | FP_ZERO)
- /* 0x0200 is signbit mask */
- #ifndef RC_INVOKED
- #ifdef __cplusplus
- extern "C" {
- #endif
- double nan(const char *tagp);
- float nanf(const char *tagp);
- #ifndef __STRICT_ANSI__
- #define nan() nan("")
- #define nanf() nanf("")
- #endif
- /*
- We can't inline float, because we want to ensure truncation
- to semantic type before classification. If we extend to long
- double, we will also need to make double extern only.
- (A normal long double value might become subnormal when
- converted to double, and zero when converted to float.)
- */
- extern __inline__ int __fpclassify (double x){
- unsigned short sw;
- __asm__ ("fxam; fstsw %%ax;" : "=a" (sw): "t" (x));
- return sw & (FP_NAN | FP_NORMAL | FP_ZERO );
- }
- extern int __fpclassifyf (float);
- #define fpclassify(x) ((sizeof(x) == sizeof(float)) ? __fpclassifyf(x) \
- : __fpclassify(x))
- /* We don't need to worry about trucation here:
- A NaN stays a NaN. */
- extern __inline__ int __isnan (double _x)
- {
- unsigned short sw;
- __asm__ ("fxam;"
- "fstsw %%ax": "=a" (sw) : "t" (_x));
- return (sw & (FP_NAN | FP_NORMAL | FP_INFINITE | FP_ZERO | FP_SUBNORMAL))
- == FP_NAN;
- }
- extern __inline__ int __isnanf (float _x)
- {
- unsigned short sw;
- __asm__ ("fxam;"
- "fstsw %%ax": "=a" (sw) : "t" (_x));
- return (sw & (FP_NAN | FP_NORMAL | FP_INFINITE | FP_ZERO | FP_SUBNORMAL))
- == FP_NAN;
- }
- #define isnan(x) ((sizeof(x) == sizeof(float)) ? __isnanf(x) \
- : __isnan(x))
- #define isfinite(x) ((fpclassify(x) & FP_NAN) == 0)
- #define isinf(x) (fpclassify(x) == FP_INFINITE)
- #define isnormal(x) (fpclassify(x) == FP_NORMAL)
- extern __inline__ int __signbit (double x) {
- unsigned short stw;
- __asm__ ( "fxam; fstsw %%ax;": "=a" (stw) : "t" (x));
- return stw & 0x0200;
- }
- extern __inline__ int __signbitf (float x) {
- unsigned short stw;
- __asm__ ("fxam; fstsw %%ax;": "=a" (stw) : "t" (x));
- return stw & 0x0200;
- }
- #define signbit(x) ((sizeof(x) == sizeof(float)) ? __signbitf(x) \
- : __signbit(x))
- /*
- * With these functions, comparisons involving quiet NaNs set the FP
- * condition code to "unordered". The IEEE floating-point spec
- * dictates that the result of floating-point comparisons should be
- * false whenever a NaN is involved, with the exception of the !=,
- * which always returns true.
- */
- #if __GNUC__ >= 3
- #define isgreater(x, y) __builtin_isgreater(x, y)
- #define isgreaterequal(x, y) __builtin_isgreaterequal(x, y)
- #define isless(x, y) __builtin_isless(x, y)
- #define islessequal(x, y) __builtin_islessequal(x, y)
- #define islessgreater(x, y) __builtin_islessgreater(x, y)
- #define isunordered(x, y) __builtin_isunordered(x, y)
- #else
- /* helper */
- extern __inline__ int __fp_unordered_compare (double x, double y){
- unsigned short retval;
- __asm__ ("fucom %%st(1);"
- "fnstsw;": "=a" (retval) : "t" (x), "u" (y));
- return retval;
- }
- #define isgreater(x, y) ((__fp_unordered_compare(x, y) \
- & 0x4500) == 0)
- #define isless(x, y) ((__fp_unordered_compare (y, x) \
- & 0x4500) == 0)
- #define isgreaterequal(x, y) ((__fp_unordered_compare (x, y) \
- & FP_INFINITE) == 0)
- #define islessequal(x, y) ((__fp_unordered_compare(y, x) \
- & FP_INFINITE) == 0)
- #define islessgreater(x, y) ((__fp_unordered_compare(x, y) \
- & FP_SUBNORMAL) == 0)
- #define isunordered(x, y) ((__fp_unordered_compare(x, y) \
- & 0x4500) == 0x4500)
- #endif
- /* round, using fpu control word settings */
- extern __inline__ double rint (double x)
- {
- double retval;
- __asm__ ("frndint;": "=t" (retval) : "0" (x));
- return retval;
- }
- extern __inline__ float rintf (float x)
- {
- float retval;
- __asm__ ("frndint;" : "=t" (retval) : "0" (x) );
- return retval;
- }
- /* round away from zero, regardless of fpu control word settings */
- extern double round (double);
- extern float roundf (float);
- /* round towards zero, regardless of fpu control word settings */
- extern double trunc (double);
- extern float truncf (float);
- /* fmax and fmin.
- NaN arguments are treated as missing data: if one argument is a NaN and the other numeric, then the
- these functions choose the numeric value.
- */
- extern double fmax (double, double);
- extern double fmin (double, double);
- extern float fmaxf (float, float);
- float fminf (float, float);
- /* return x * y + z as a ternary op */
- extern double fma (double, double, double);
- extern float fmaf (float, float, float);
- /* one lonely transcendental */
- extern double log2 (double _x);
- extern float log2f (float _x);
- /* The underscored versions are in MSVCRT.dll.
- The stubs for these are in libmingwex.a */
- double copysign (double, double);
- float copysignf (float, float);
- double logb (double);
- float logbf (float);
- double nextafter (double, double);
- float nextafterf (float, float);
- double scalb (double, long);
- float scalbf (float, long);
- #if !defined (__STRICT_ANSI__) /* inline using non-ANSI functions */
- extern __inline__ double copysign (double x, double y)
- { return _copysign(x, y); }
- extern __inline__ float copysignf (float x, float y)
- { return _copysign(x, y); }
- extern __inline__ double logb (double x)
- { return _logb(x); }
- extern __inline__ float logbf (float x)
- { return _logb(x); }
- extern __inline__ double nextafter(double x, double y)
- { return _nextafter(x, y); }
- extern __inline__ float nextafterf(float x, float y)
- { return _nextafter(x, y); }
- extern __inline__ double scalb (double x, long i)
- { return _scalb (x, i); }
- extern __inline__ float scalbf (float x, long i)
- { return _scalb(x, i); }
- #endif /* (__STRICT_ANSI__) */
- #ifdef __cplusplus
- }
- #endif
- #endif /* Not RC_INVOKED */
- #endif /* __NO_ISOCEXT */
- #endif /* Not _MATH_H_ */
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