/* Declarations for math functions.
-Copyright (C) 1991, 92, 93, 95, 96 Free Software Foundation, Inc.
-This file is part of the GNU C Library.
+ 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
-modify it under the terms of the GNU Library General Public License as
-published by the Free Software Foundation; either version 2 of the
-License, or (at your option) any later version.
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
-The GNU C Library is distributed in the hope that it will be useful,
-but WITHOUT ANY WARRANTY; without even the implied warranty of
-MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
-Library General Public License for more details.
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
-You should have received a copy of the GNU Library General Public
-License along with the GNU C Library; see the file COPYING.LIB. If
-not, write to the Free Software Foundation, Inc., 675 Mass Ave,
-Cambridge, MA 02139, USA. */
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
/*
- * ANSI Standard: 4.5 MATHEMATICS <math.h>
+ * ISO C Standard: 4.5 MATHEMATICS <math.h>
*/
#ifndef _MATH_H
-
#define _MATH_H 1
+
#include <features.h>
__BEGIN_DECLS
-#define __need_Emath
-#include <errno.h>
-
/* Get machine-dependent HUGE_VAL value (returned on overflow).
On all IEEE754 machines, this is +Infinity. */
-#include <huge_val.h>
+#include <bits/huge_val.h>
/* Get machine-dependent NAN value (returned for some domain errors). */
-#ifdef __USE_GNU
-#include <nan.h>
+#ifdef __USE_ISOC9X
+# include <bits/nan.h>
#endif
-/* The file <mathcalls.h> contains the prototypes for all the actual
- math functions. These macros are used for those prototypes, so
- we can easily declare each function as both `name' and `__name',
+/* The file <bits/mathcalls.h> contains the prototypes for all the
+ actual math functions. These macros are used for those prototypes,
+ so we can easily declare each function as both `name' and `__name',
and can declare the float versions `namef' and `__namef'. */
#define __MATHCALL(function,suffix, args) \
- __MATHDECL (_Mdouble_, function,suffix, args)
+ __MATHDECL (_Mdouble_,function,suffix, args)
#define __MATHDECL(type, function,suffix, args) \
__MATHDECL_1(type, function,suffix, args); \
- __MATHDECL_1(type, __##function,suffix, args)
+ __MATHDECL_1(type, __CONCAT(__,function),suffix, args)
+#define __MATHCALLX(function,suffix, args, attrib) \
+ __MATHDECLX (_Mdouble_,function,suffix, args, attrib)
+#define __MATHDECLX(type, function,suffix, args, attrib) \
+ __MATHDECL_1(type, function,suffix, args) __attribute__ (attrib); \
+ __MATHDECL_1(type, __CONCAT(__,function),suffix, args) __attribute__ (attrib)
#define __MATHDECL_1(type, function,suffix, args) \
extern type __MATH_PRECNAME(function,suffix) args
#define _Mdouble_ double
-#define __MATH_PRECNAME(name,r) name##r
-#include <mathcalls.h>
+#define __MATH_PRECNAME(name,r) __CONCAT(name,r)
+#include <bits/mathcalls.h>
#undef _Mdouble_
#undef __MATH_PRECNAME
-#ifdef __USE_MISC
+#if defined __USE_MISC || defined __USE_ISOC9X
-/* Include the file of declarations again, this type using `float'
- instead of `double' and appending f to each function name. */
-#define _Mdouble_ float
-#define __MATH_PRECNAME(name,r) name##f##r
-#include <mathcalls.h>
-#undef _Mdouble_
-#undef __MATH_PRECNAME
+/* Include the file of declarations again, this time using `float'
+ instead of `double' and appending f to each function name. */
-/* Include the file of declarations again, this type using `long double'
+# 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. */
-#define _Mdouble_ long double
-#define __MATH_PRECNAME(name,r) name##l##r
-#include <mathcalls.h>
-#undef _Mdouble_
-#undef __MATH_PRECNAME
+# 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
+#undef __MATHDECL
+#undef __MATHCALL
+
+
+#if defined __USE_MISC || defined __USE_XOPEN || defined __USE_ISOC9X
+/* This variable is used by `gamma' and `lgamma'. */
+extern int signgam;
+#endif
+
+
+/* ISO C 9X defines some generic macros which work on any data type. */
+#if __USE_ISOC9X
+
+/* 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
+ to evaluate `float' expressions
+ double_t floating-point type at least as wide as `double' used
+ to evaluate `double' expressions
+
+ 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'
-#endif /* Use misc. */
+ 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>
+
+/* All floating-point numbers can be put in one of these categories. */
+enum
+ {
+ FP_NAN,
+# define FP_NAN FP_NAN
+ FP_INFINITE,
+# define FP_INFINITE FP_INFINITE
+ FP_ZERO,
+# define FP_ZERO FP_ZERO
+ FP_SUBNORMAL,
+# define FP_SUBNORMAL FP_SUBNORMAL
+ FP_NORMAL
+# define FP_NORMAL FP_NORMAL
+ };
+
+/* Return number of classification appropriate for 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) \
+ (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) \
+ (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)
+
+/* 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) \
+ (sizeof (x) == sizeof (float) ? \
+ __isnanf (x) \
+ : sizeof (x) == sizeof (double) ? \
+ __isnan (x) : __isnanl (x))
+
+#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
#ifdef __USE_SVID
/* In SVID error handling, `matherr' is called with this description
- of the exceptional condition. */
+ of the exceptional condition.
+
+ We have a problem when using C++ since `exception' is a reserved
+ name in C++. */
+# ifdef __cplusplus
+struct __exception
+# else
struct exception
+# endif
{
int type;
char *name;
double retval;
};
-extern int matherr __P ((struct exception *));
+# 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. */
-#endif
+#else /* !SVID */
+
+# ifdef __USE_XOPEN
+/* X/Open wants another strange constant. */
+# define MAXFLOAT FLT_MAX
+# include <float.h>
+# endif
+
+#endif /* SVID */
-#ifdef __USE_BSD
/* Some useful constants. */
-#define M_E 2.7182818284590452354 /* e */
-#define M_LOG2E 1.4426950408889634074 /* log 2e */
-#define M_LOG10E 0.43429448190325182765 /* log 10e */
-#define M_LN2 0.69314718055994530942 /* log e2 */
-#define M_LN10 2.30258509299404568402 /* log e10 */
-#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) */
+#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
+
+/* 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__)
-#include <__math.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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