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glibc/math/math.h

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/* Declarations for math functions.
Copyright (C) 1991, 92, 93, 95, 96, 97 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 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., 59 Temple Place - Suite 330,
Boston, MA 02111-1307, USA. */
/*
* ISO C Standard: 4.5 MATHEMATICS <math.h>
*/
#ifndef _MATH_H
#define _MATH_H 1
#include <features.h>
__BEGIN_DECLS
/* Get machine-dependent HUGE_VAL value (returned on overflow).
On all IEEE754 machines, this is +Infinity. */
#include <bits/huge_val.h>
/* Get machine-dependent NAN value (returned for some domain errors). */
#ifdef __USE_GNU
# include <bits/nan.h>
#endif
/* 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)
#define __MATHDECL(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) __CONCAT(name,r)
#include <bits/mathcalls.h>
#undef _Mdouble_
#undef __MATH_PRECNAME
#if defined __USE_MISC || defined __USE_ISOC9X
/* 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
/* 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__ */
#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'
FP_FAST_FMA
FP_FAST_FMAF
FP_FAST_FMAL
If defined it indicates that the 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;
/* 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
to change the hardware FPU exception settings). */
extern _LIB_VERSION_TYPE _LIB_VERSION;
#endif
#ifdef __USE_SVID
/* In SVID error handling, `matherr' is called with this description
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 arg1;
double arg2;
double retval;
};
# 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
/* 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
/* SVID mode specifies returning this large value instead of infinity. */
# define HUGE FLT_MAX
# include <float.h> /* Defines FLT_MAX. */
#else /* !SVID */
# ifdef __USE_XOPEN
/* X/Open wants another strange constant. */
# define MAXFLOAT FLT_MAX
# include <float.h>
# endif
#endif /* SVID */
#if defined __USE_BSD || defined __USE_UNIX98
/* Some useful constants. */
# define M_E _Mldbl(2.7182818284590452354) /* e */
# define M_LOG2E _Mldbl(1.4426950408889634074) /* log_2 e */
# define M_LOG10E _Mldbl(0.43429448190325182765) /* log_10 e */
# define M_LN2 _Mldbl(0.69314718055994530942) /* log_e 2 */
# define M_LN10 _Mldbl(2.30258509299404568402) /* log_e 10 */
# 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) */
#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'.
If the constants are use in code which does not use prototypes, one
might get problems if a function takes a `double' argument and any
of the constants are provided as the argument. In this case, cast
the argument to `double'.
Please note 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) && defined __USE_GNU
# define _Mldbl(x) x##L
#else /* Traditional C. */
# define _Mldbl(x) x
#endif /* Standard or GNU C. */
/* Get machine-dependent inline versions (if there are any). */
#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(x, y) \
(__extension__ \
({ __typeof__(x) __x = (x); __typeof__(y) __y = (y); \
fpclassify (__x) == FP_NAN || fpclassify (__y) == FP_NAN; }))
# endif
#endif
__END_DECLS
#endif /* math.h */
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