/* Declarations for math functions.
- Copyright (C) 1991, 92, 93, 95, 96, 97 Free Software Foundation, Inc.
+ Copyright (C) 1991, 92, 93, 95, 96, 97, 98 Free Software Foundation, Inc.
This file is part of the GNU C Library.
The GNU C Library is free software; you can redistribute it and/or
#include <bits/huge_val.h>
/* Get machine-dependent NAN value (returned for some domain errors). */
-#ifdef __USE_GNU
-#include <bits/nan.h>
+#ifdef __USE_ISOC9X
+# include <bits/nan.h>
#endif
/* Include the file of declarations again, this time using `float'
instead of `double' and appending f to each function name. */
-#ifndef _Mfloat_
-#define _Mfloat_ float
-#endif
-#define _Mdouble_ _Mfloat_
-#ifdef __STDC__
-#define __MATH_PRECNAME(name,r) name##f##r
-#else
-#define __MATH_PRECNAME(name,r) name/**/f/**/r
-#endif
-#include <bits/mathcalls.h>
-#undef _Mdouble_
-#undef __MATH_PRECNAME
-
-#if __STDC__ - 0 || __GNUC__ - 0
+# ifndef _Mfloat_
+# define _Mfloat_ float
+# endif
+# define _Mdouble_ _Mfloat_
+# ifdef __STDC__
+# define __MATH_PRECNAME(name,r) name##f##r
+# else
+# define __MATH_PRECNAME(name,r) name/**/f/**/r
+# endif
+# include <bits/mathcalls.h>
+# undef _Mdouble_
+# undef __MATH_PRECNAME
+
+# if __STDC__ - 0 || __GNUC__ - 0
/* Include the file of declarations again, this time using `long double'
instead of `double' and appending l to each function name. */
-#ifndef _Mlong_double_
-#define _Mlong_double_ long double
-#endif
-#define _Mdouble_ _Mlong_double_
-#ifdef __STDC__
-#define __MATH_PRECNAME(name,r) name##l##r
-#else
-#define __MATH_PRECNAME(name,r) name/**/l/**/r
-#endif
-#include <bits/mathcalls.h>
-#undef _Mdouble_
-#undef __MATH_PRECNAME
-
-#endif /* __STDC__ || __GNUC__ */
+# ifndef _Mlong_double_
+# define _Mlong_double_ long double
+# endif
+# define _Mdouble_ _Mlong_double_
+# ifdef __STDC__
+# define __MATH_PRECNAME(name,r) name##l##r
+# else
+# define __MATH_PRECNAME(name,r) name/**/l/**/r
+# endif
+# include <bits/mathcalls.h>
+# undef _Mdouble_
+# undef __MATH_PRECNAME
+
+# endif /* __STDC__ || __GNUC__ */
#endif /* Use misc or ISO C 9X. */
#undef __MATHDECL_1
/* Get the architecture specific values describing the floating-point
evaluation. The following symbols will get defined:
- float_t floating-point type at least as wide as `float' used
+ float_t floating-point type at least as wide as `float' used
to evaluate `float' expressions
- double_t floating-point type at least as wide as `double' used
+ double_t floating-point type at least as wide as `double' used
to evaluate `double' expressions
- FLT_EVAL_METHOD
+ FLT_EVAL_METHOD
Defined to
0 if `float_t' is `float' and `double_t' is `double'
1 if `float_t' and `double_t' are `double'
2 if `float_t' and `double_t' are `long double'
else `float_t' and `double_t' are unspecified
- INFINITY representation of the infinity value of type `float_t'
+ INFINITY representation of the infinity value of type `float'
+
+ FP_FAST_FMA
+ FP_FAST_FMAF
+ FP_FAST_FMAL
+ If defined it indicates that the `fma' function
+ generally executes about as fast as a multiply and an add.
+ This macro is defined only iff the `fma' function is
+ implemented directly with a hardware multiply-add instructions.
+
+ FP_ILOGB0 Expands to a value returned by `ilogb (0.0)'.
+ FP_ILOGBNAN Expands to a value returned by `ilogb (NAN)'.
+
+ DECIMAL_DIG Number of decimal digits supported by conversion between
+ decimal and all internal floating-point formats.
+
*/
-#include <bits/mathdef.h>
+# include <bits/mathdef.h>
/* All floating-point numbers can be put in one of these categories. */
enum
{
FP_NAN,
-#define FP_NAN FP_NAN
+# define FP_NAN FP_NAN
FP_INFINITE,
-#define FP_INFINITE FP_INFINITE
+# define FP_INFINITE FP_INFINITE
FP_ZERO,
-#define FP_ZERO FP_ZERO
+# define FP_ZERO FP_ZERO
FP_SUBNORMAL,
-#define FP_SUBNORMAL FP_SUBNORMAL
+# define FP_SUBNORMAL FP_SUBNORMAL
FP_NORMAL
-#define FP_NORMAL FP_NORMAL
+# define FP_NORMAL FP_NORMAL
};
/* Return number of classification appropriate for X. */
-#define fpclassify(x) \
+# define fpclassify(x) \
(sizeof (x) == sizeof (float) ? \
__fpclassifyf (x) \
: sizeof (x) == sizeof (double) ? \
__fpclassify (x) : __fpclassifyl (x))
/* Return nonzero value if sign of X is negative. */
-#define signbit(x) \
+# define signbit(x) \
(sizeof (x) == sizeof (float) ? \
__signbitf (x) \
: sizeof (x) == sizeof (double) ? \
__signbit (x) : __signbitl (x))
/* Return nonzero value if X is not +-Inf or NaN. */
-#define isfinite(x) \
+# define isfinite(x) \
(sizeof (x) == sizeof (float) ? \
__finitef (x) \
: sizeof (x) == sizeof (double) ? \
__finite (x) : __finitel (x))
/* Return nonzero value if X is neither zero, subnormal, Inf, nor NaN. */
-#define isnormal(x) (fpclassify (x) == FP_NORMAL)
+# define isnormal(x) (fpclassify (x) == FP_NORMAL)
/* Return nonzero value if X is a NaN. We could use `fpclassify' but
we already have this functions `__isnan' and it is faster. */
-#define isnan(x) \
+# define isnan(x) \
(sizeof (x) == sizeof (float) ? \
__isnanf (x) \
: sizeof (x) == sizeof (double) ? \
__isnan (x) : __isnanl (x))
-
-/* Conversion functions. */
-
-/* Round X to nearest integral value according to current rounding
- direction. */
-extern long int lrint __P ((long double __x));
-extern long long int llrint __P ((long double __x));
-
-/* Round X to nearest integral value, rounding halfway cases away from
- zero. */
-extern long int lround __P ((long double __x));
-extern long long int llround __P ((long double __x));
-
-
-/* Comparison macros. */
-
-/* Return nonzero value if X is greater than Y. */
-#define isgreater(x, y) (!isunordered ((x), (y)) && (x) > (y))
-
-/* Return nonzero value if X is greater than or equal to Y. */
-#define isgreaterequal(x, y) (!isunordered ((x), (y)) && (x) >= (y))
-
-/* Return nonzero value if X is less than Y. */
-#define isless(x, y) (!isunordered ((x), (y)) && (x) < (y))
-
-/* Return nonzero value if X is less than or equal to Y. */
-#define islessequal(x, y) (!isunordered ((x), (y)) && (x) <= (y))
-
-/* Return nonzero value if either X is less than Y or Y is less than X. */
-#define islessgreater(x, y) \
- (!isunordered ((x), (y)) && ((x) < (y) || (y) < (x)))
-
-/* Return nonzero value if arguments are unordered. */
-#define isunordered(x, y) \
- (fpclassify (x) == FP_NAN || fpclassify (y) == FP_NAN)
-
#endif /* Use ISO C 9X. */
#ifdef __USE_MISC
/* Support for various different standard error handling behaviors. */
-
-typedef enum { _IEEE_ = -1, _SVID_, _XOPEN_, _POSIX_ } _LIB_VERSION_TYPE;
+typedef enum
+{
+ _IEEE_ = -1, /* According to IEEE 754/IEEE 854. */
+ _SVID_, /* According to System V, release 4. */
+ _XOPEN_, /* Nowadays also Unix98. */
+ _POSIX_,
+ _ISOC_ /* Actually this is ISO C 9X. */
+} _LIB_VERSION_TYPE;
/* This variable can be changed at run-time to any of the values above to
affect floating point error handling behavior (it may also be necessary
/* In SVID error handling, `matherr' is called with this description
of the exceptional condition.
- We have a problem when using C++ since `exception' is reserved in
- C++. */
-#ifdef __cplusplus
+ We have a problem when using C++ since `exception' is a reserved
+ name in C++. */
+# ifdef __cplusplus
struct __exception
-#else
+# else
struct exception
-#endif
+# endif
{
int type;
char *name;
double retval;
};
-#ifdef __cplusplus
-extern int __matherr __P ((struct __exception *));
-extern int matherr __P ((struct __exception *));
-#else
-extern int __matherr __P ((struct exception *));
-extern int matherr __P ((struct exception *));
-#endif
+# ifdef __cplusplus
+extern int __matherr __P ((struct __exception *__exc));
+extern int matherr __P ((struct __exception *__exc));
+# else
+extern int __matherr __P ((struct exception *__exc));
+extern int matherr __P ((struct exception *__exc));
+# endif
-#define X_TLOSS 1.41484755040568800000e+16
+# define X_TLOSS 1.41484755040568800000e+16
/* Types of exceptions in the `type' field. */
-#define DOMAIN 1
-#define SING 2
-#define OVERFLOW 3
-#define UNDERFLOW 4
-#define TLOSS 5
-#define PLOSS 6
+# define DOMAIN 1
+# define SING 2
+# define OVERFLOW 3
+# define UNDERFLOW 4
+# define TLOSS 5
+# define PLOSS 6
/* SVID mode specifies returning this large value instead of infinity. */
-#define HUGE FLT_MAX
-#include <float.h> /* Defines FLT_MAX. */
+# define HUGE FLT_MAX
+# include <float.h> /* Defines FLT_MAX. */
#else /* !SVID */
-#ifdef __USE_XOPEN
+# ifdef __USE_XOPEN
/* X/Open wants another strange constant. */
-#define MAXFLOAT FLT_MAX
-#include <float.h>
-#endif
+# define MAXFLOAT FLT_MAX
+# include <float.h>
+# endif
#endif /* SVID */
-#ifdef __USE_BSD
-
/* Some useful constants. */
-#define M_E _Mldbl(2.7182818284590452354) /* e */
-#define M_LOG2E _Mldbl(1.4426950408889634074) /* log 2e */
-#define M_LOG10E _Mldbl(0.43429448190325182765) /* log 10e */
-#define M_LN2 _Mldbl(0.69314718055994530942) /* log e2 */
-#define M_LN10 _Mldbl(2.30258509299404568402) /* log e10 */
-#define M_PI _Mldbl(3.14159265358979323846) /* pi */
-#define M_PI_2 _Mldbl(1.57079632679489661923) /* pi/2 */
-#define M_PI_4 _Mldbl(0.78539816339744830962) /* pi/4 */
-#define M_1_PI _Mldbl(0.31830988618379067154) /* 1/pi */
-#define M_2_PI _Mldbl(0.63661977236758134308) /* 2/pi */
-#define M_2_SQRTPI _Mldbl(1.12837916709551257390) /* 2/sqrt(pi) */
-#define M_SQRT2 _Mldbl(1.41421356237309504880) /* sqrt(2) */
-#define M_SQRT1_2 _Mldbl(0.70710678118654752440) /* 1/sqrt(2) */
-
+#if defined __USE_BSD || defined __USE_UNIX98
+# define M_E 2.7182818284590452354 /* e */
+# define M_LOG2E 1.4426950408889634074 /* log_2 e */
+# define M_LOG10E 0.43429448190325182765 /* log_10 e */
+# define M_LN2 0.69314718055994530942 /* log_e 2 */
+# define M_LN10 2.30258509299404568402 /* log_e 10 */
+# define M_PI 3.14159265358979323846 /* pi */
+# define M_PI_2 1.57079632679489661923 /* pi/2 */
+# define M_PI_4 0.78539816339744830962 /* pi/4 */
+# define M_1_PI 0.31830988618379067154 /* 1/pi */
+# define M_2_PI 0.63661977236758134308 /* 2/pi */
+# define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */
+# define M_SQRT2 1.41421356237309504880 /* sqrt(2) */
+# define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */
#endif
-/* Our constants might specify more precision than `double' can represent.
- Use `long double' constants in standard and GNU C, where they are
- supported and the cast to `double'.
-
- Please not we define the macro even if the constants are not defined.
- This helps us to use the macros in other places. */
-#if __STDC__ - 0 || __GNUC__ - 0
-#define _Mldbl(x) x##L
-#else /* Traditional C. */
-#define _Mldbl(x) x
-#endif /* Standard or GNU C. */
+/* The above constants are not adequate for computation using `long double's.
+ Therefore we provide as an extension constants with similar names as a
+ GNU extension. Provide enough digits for the 128-bit IEEE quad. */
+#ifdef __USE_GNU
+# define M_El 2.7182818284590452353602874713526625L /* e */
+# define M_LOG2El 1.4426950408889634073599246810018922L /* log_2 e */
+# define M_LOG10El 0.4342944819032518276511289189166051L /* log_10 e */
+# define M_LN2l 0.6931471805599453094172321214581766L /* log_e 2 */
+# define M_LN10l 2.3025850929940456840179914546843642L /* log_e 10 */
+# define M_PIl 3.1415926535897932384626433832795029L /* pi */
+# define M_PI_2l 1.5707963267948966192313216916397514L /* pi/2 */
+# define M_PI_4l 0.7853981633974483096156608458198757L /* pi/4 */
+# define M_1_PIl 0.3183098861837906715377675267450287L /* 1/pi */
+# define M_2_PIl 0.6366197723675813430755350534900574L /* 2/pi */
+# define M_2_SQRTPIl 1.1283791670955125738961589031215452L /* 2/sqrt(pi) */
+# define M_SQRT2l 1.4142135623730950488016887242096981L /* sqrt(2) */
+# define M_SQRT1_2l 0.7071067811865475244008443621048490L /* 1/sqrt(2) */
+#endif
/* Get machine-dependent inline versions (if there are any). */
-#if (!defined __NO_MATH_INLINES && defined __OPTIMIZE__) \
- || defined __LIBC_M81_MATH_INLINES
-#include <bits/mathinline.h>
+#ifdef __OPTIMIZE__
+# include <bits/mathinline.h>
#endif
+#if __USE_ISOC9X
+/* ISO C 9X defines some macros to compare number while taking care
+ for unordered numbers. Since many FPUs provide special
+ instructions to support these operations and these tests are
+ defined in <bits/mathinline.h>, we define the generic macros at
+ this late point and only if they are not defined yet. */
+
+/* Return nonzero value if X is greater than Y. */
+# ifndef isgreater
+# define isgreater(x, y) \
+ (__extension__ \
+ ({ __typeof__(x) __x = (x); __typeof__(y) __y = (y); \
+ !isunordered (__x, __y) && __x > __y; }))
+# endif
+
+/* Return nonzero value if X is greater than or equal to Y. */
+# ifndef isgreaterequal
+# define isgreaterequal(x, y) \
+ (__extension__ \
+ ({ __typeof__(x) __x = (x); __typeof__(y) __y = (y); \
+ !isunordered (__x, __y) && __x >= __y; }))
+# endif
+
+/* Return nonzero value if X is less than Y. */
+# ifndef isless
+# define isless(x, y) \
+ (__extension__ \
+ ({ __typeof__(x) __x = (x); __typeof__(y) __y = (y); \
+ !isunordered (__x, __y) && __x < __y; }))
+# endif
+
+/* Return nonzero value if X is less than or equal to Y. */
+# ifndef islessequal
+# define islessequal(x, y) \
+ (__extension__ \
+ ({ __typeof__(x) __x = (x); __typeof__(y) __y = (y); \
+ !isunordered (__x, __y) && __x <= __y; }))
+# endif
+
+/* Return nonzero value if either X is less than Y or Y is less than X. */
+# ifndef islessgreater
+# define islessgreater(x, y) \
+ (__extension__ \
+ ({ __typeof__(x) __x = (x); __typeof__(y) __y = (y); \
+ !isunordered (__x, __y) && (__x < __y || __y < __x); }))
+# endif
+
+/* Return nonzero value if arguments are unordered. */
+# ifndef isunordered
+# define isunordered(u, v) \
+ (__extension__ \
+ ({ __typeof__(u) __u = (u); __typeof__(v) __v = (v); \
+ fpclassify (__u) == FP_NAN || fpclassify (__v) == FP_NAN; }))
+# endif
+
+#endif
+
__END_DECLS
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