added includes files based on GLibC 2.2.5

used by printf_fp


git-svn-id: file:///srv/svn/repos/haiku/trunk/current@11654 a95241bf-73f2-0310-859d-f6bbb57e9c96
This commit is contained in:
Jérôme Duval
2005-03-10 19:37:35 +00:00
parent fda682942a
commit 55a93a6ff0
4 changed files with 1218 additions and 0 deletions
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/* Prototype declarations for math functions; helper file for <math.h>.
Copyright (C) 1996,1997,1998,1999,2000,2001 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 Lesser General Public
License as published by the Free Software Foundation; either
version 2.1 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
Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public
License along with the GNU C Library; if not, write to the Free
Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
02111-1307 USA. */
/* NOTE: Because of the special way this file is used by <math.h>, this
file must NOT be protected from multiple inclusion as header files
usually are.
This file provides prototype declarations for the math functions.
Most functions are declared using the macro:
__MATHCALL (NAME,[_r], (ARGS...));
This means there is a function `NAME' returning `double' and a function
`NAMEf' returning `float'. Each place `_Mdouble_' appears in the
prototype, that is actually `double' in the prototype for `NAME' and
`float' in the prototype for `NAMEf'. Reentrant variant functions are
called `NAME_r' and `NAMEf_r'.
Functions returning other types like `int' are declared using the macro:
__MATHDECL (TYPE, NAME,[_r], (ARGS...));
This is just like __MATHCALL but for a function returning `TYPE'
instead of `_Mdouble_'. In all of these cases, there is still
both a `NAME' and a `NAMEf' that takes `float' arguments.
Note that there must be no whitespace before the argument passed for
NAME, to make token pasting work with -traditional. */
#ifndef _MATH_H
#error "Never include <bits/mathcalls.h> directly; include <math.h> instead."
#endif
/* Trigonometric functions. */
/* Arc cosine of X. */
__MATHCALL (acos,, (_Mdouble_ __x));
/* Arc sine of X. */
__MATHCALL (asin,, (_Mdouble_ __x));
/* Arc tangent of X. */
__MATHCALL (atan,, (_Mdouble_ __x));
/* Arc tangent of Y/X. */
__MATHCALL (atan2,, (_Mdouble_ __y, _Mdouble_ __x));
/* Cosine of X. */
__MATHCALL (cos,, (_Mdouble_ __x));
/* Sine of X. */
__MATHCALL (sin,, (_Mdouble_ __x));
/* Tangent of X. */
__MATHCALL (tan,, (_Mdouble_ __x));
#ifdef __USE_GNU
/* Cosine and sine of X. */
__MATHDECL (void,sincos,,
(_Mdouble_ __x, _Mdouble_ *__sinx, _Mdouble_ *__cosx));
#endif
/* Hyperbolic functions. */
/* Hyperbolic cosine of X. */
__MATHCALL (cosh,, (_Mdouble_ __x));
/* Hyperbolic sine of X. */
__MATHCALL (sinh,, (_Mdouble_ __x));
/* Hyperbolic tangent of X. */
__MATHCALL (tanh,, (_Mdouble_ __x));
#if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
/* Hyperbolic arc cosine of X. */
__MATHCALL (acosh,, (_Mdouble_ __x));
/* Hyperbolic arc sine of X. */
__MATHCALL (asinh,, (_Mdouble_ __x));
/* Hyperbolic arc tangent of X. */
__MATHCALL (atanh,, (_Mdouble_ __x));
#endif
/* Exponential and logarithmic functions. */
/* Exponential function of X. */
__MATHCALL (exp,, (_Mdouble_ __x));
#ifdef __USE_GNU
/* A function missing in all standards: compute exponent to base ten. */
__MATHCALL (exp10,, (_Mdouble_ __x));
/* Another name occasionally used. */
__MATHCALL (pow10,, (_Mdouble_ __x));
#endif
/* Break VALUE into a normalized fraction and an integral power of 2. */
__MATHCALL (frexp,, (_Mdouble_ __x, int *__exponent));
/* X times (two to the EXP power). */
__MATHCALL (ldexp,, (_Mdouble_ __x, int __exponent));
/* Natural logarithm of X. */
__MATHCALL (log,, (_Mdouble_ __x));
/* Base-ten logarithm of X. */
__MATHCALL (log10,, (_Mdouble_ __x));
/* Break VALUE into integral and fractional parts. */
__MATHCALL (modf,, (_Mdouble_ __x, _Mdouble_ *__iptr));
#if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
/* Return exp(X) - 1. */
__MATHCALL (expm1,, (_Mdouble_ __x));
/* Return log(1 + X). */
__MATHCALL (log1p,, (_Mdouble_ __x));
/* Return the base 2 signed integral exponent of X. */
__MATHCALL (logb,, (_Mdouble_ __x));
#endif
#ifdef __USE_ISOC99
/* Compute base-2 exponential of X. */
__MATHCALL (exp2,, (_Mdouble_ __x));
/* Compute base-2 logarithm of X. */
__MATHCALL (log2,, (_Mdouble_ __x));
#endif
/* Power functions. */
/* Return X to the Y power. */
__MATHCALL (pow,, (_Mdouble_ __x, _Mdouble_ __y));
/* Return the square root of X. */
__MATHCALL (sqrt,, (_Mdouble_ __x));
#if defined __USE_MISC || defined __USE_XOPEN || defined __USE_ISOC99
/* Return `sqrt(X*X + Y*Y)'. */
__MATHCALL (hypot,, (_Mdouble_ __x, _Mdouble_ __y));
#endif
#if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
/* Return the cube root of X. */
__MATHCALL (cbrt,, (_Mdouble_ __x));
#endif
/* Nearest integer, absolute value, and remainder functions. */
/* Smallest integral value not less than X. */
__MATHCALL (ceil,, (_Mdouble_ __x));
/* Absolute value of X. */
__MATHCALLX (fabs,, (_Mdouble_ __x), (__const__));
/* Largest integer not greater than X. */
__MATHCALL (floor,, (_Mdouble_ __x));
/* Floating-point modulo remainder of X/Y. */
__MATHCALL (fmod,, (_Mdouble_ __x, _Mdouble_ __y));
/* Return 0 if VALUE is finite or NaN, +1 if it
is +Infinity, -1 if it is -Infinity. */
__MATHDECL_1 (int,__isinf,, (_Mdouble_ __value)) __attribute__ ((__const__));
/* Return nonzero if VALUE is finite and not NaN. */
__MATHDECL_1 (int,__finite,, (_Mdouble_ __value)) __attribute__ ((__const__));
#ifdef __USE_MISC
/* Return 0 if VALUE is finite or NaN, +1 if it
is +Infinity, -1 if it is -Infinity. */
__MATHDECL_1 (int,isinf,, (_Mdouble_ __value)) __attribute__ ((__const__));
/* Return nonzero if VALUE is finite and not NaN. */
__MATHDECL_1 (int,finite,, (_Mdouble_ __value)) __attribute__ ((__const__));
/* Return the remainder of X/Y. */
__MATHCALL (drem,, (_Mdouble_ __x, _Mdouble_ __y));
/* Return the fractional part of X after dividing out `ilogb (X)'. */
__MATHCALL (significand,, (_Mdouble_ __x));
#endif /* Use misc. */
#if defined __USE_MISC || defined __USE_ISOC99
/* Return X with its signed changed to Y's. */
__MATHCALLX (copysign,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));
#endif
#ifdef __USE_ISOC99
/* Return representation of NaN for double type. */
__MATHCALLX (nan,, (__const char *__tagb), (__const__));
#endif
/* Return nonzero if VALUE is not a number. */
__MATHDECL_1 (int,__isnan,, (_Mdouble_ __value)) __attribute__ ((__const__));
#if defined __USE_MISC || defined __USE_XOPEN
/* Return nonzero if VALUE is not a number. */
__MATHDECL_1 (int,isnan,, (_Mdouble_ __value)) __attribute__ ((__const__));
/* Bessel functions. */
__MATHCALL (j0,, (_Mdouble_));
__MATHCALL (j1,, (_Mdouble_));
__MATHCALL (jn,, (int, _Mdouble_));
__MATHCALL (y0,, (_Mdouble_));
__MATHCALL (y1,, (_Mdouble_));
__MATHCALL (yn,, (int, _Mdouble_));
#endif
#if defined __USE_MISC || defined __USE_XOPEN || defined __USE_ISOC99
/* Error and gamma functions. */
__MATHCALL (erf,, (_Mdouble_));
__MATHCALL (erfc,, (_Mdouble_));
__MATHCALL (lgamma,, (_Mdouble_));
#endif
#ifdef __USE_ISOC99
__MATHCALL (tgamma,, (_Mdouble_));
#endif
#if defined __USE_MISC || defined __USE_XOPEN
/* Obsolete alias for `lgamma'. */
__MATHCALL (gamma,, (_Mdouble_));
#endif
#ifdef __USE_MISC
/* Reentrant version of lgamma. This function uses the global variable
`signgam'. The reentrant version instead takes a pointer and stores
the value through it. */
__MATHCALL (lgamma,_r, (_Mdouble_, int *__signgamp));
#endif
#if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
/* Return the integer nearest X in the direction of the
prevailing rounding mode. */
__MATHCALL (rint,, (_Mdouble_ __x));
/* Return X + epsilon if X < Y, X - epsilon if X > Y. */
__MATHCALLX (nextafter,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));
# ifdef __USE_ISOC99
__MATHCALLX (nexttoward,, (_Mdouble_ __x, long double __y), (__const__));
# endif
/* Return the remainder of integer divison X / Y with infinite precision. */
__MATHCALL (remainder,, (_Mdouble_ __x, _Mdouble_ __y));
# if defined __USE_MISC || defined __USE_XOPEN_EXTENDED
/* Return X times (2 to the Nth power). */
__MATHCALL (scalb,, (_Mdouble_ __x, _Mdouble_ __n));
# endif
# if defined __USE_MISC || defined __USE_ISOC99
/* Return X times (2 to the Nth power). */
__MATHCALL (scalbn,, (_Mdouble_ __x, int __n));
# endif
/* Return the binary exponent of X, which must be nonzero. */
__MATHDECL (int,ilogb,, (_Mdouble_ __x));
#endif
#ifdef __USE_ISOC99
/* Return X times (2 to the Nth power). */
__MATHCALL (scalbln,, (_Mdouble_ __x, long int __n));
/* Round X to integral value in floating-point format using current
rounding direction, but do not raise inexact exception. */
__MATHCALL (nearbyint,, (_Mdouble_ __x));
/* Round X to nearest integral value, rounding halfway cases away from
zero. */
__MATHCALL (round,, (_Mdouble_ __x));
/* Round X to the integral value in floating-point format nearest but
not larger in magnitude. */
__MATHCALLX (trunc,, (_Mdouble_ __x), (__const__));
/* Compute remainder of X and Y and put in *QUO a value with sign of x/y
and magnitude congruent `mod 2^n' to the magnitude of the integral
quotient x/y, with n >= 3. */
__MATHCALL (remquo,, (_Mdouble_ __x, _Mdouble_ __y, int *__quo));
/* Conversion functions. */
/* Round X to nearest integral value according to current rounding
direction. */
__MATHDECL (long int,lrint,, (_Mdouble_ __x));
__MATHDECL (long long int,llrint,, (_Mdouble_ __x));
/* Round X to nearest integral value, rounding halfway cases away from
zero. */
__MATHDECL (long int,lround,, (_Mdouble_ __x));
__MATHDECL (long long int,llround,, (_Mdouble_ __x));
/* Return positive difference between X and Y. */
__MATHCALL (fdim,, (_Mdouble_ __x, _Mdouble_ __y));
/* Return maximum numeric value from X and Y. */
__MATHCALL (fmax,, (_Mdouble_ __x, _Mdouble_ __y));
/* Return minimum numeric value from X and Y. */
__MATHCALL (fmin,, (_Mdouble_ __x, _Mdouble_ __y));
/* Classify given number. */
__MATHDECL_1 (int, __fpclassify,, (_Mdouble_ __value))
__attribute__ ((__const__));
/* Test for negative number. */
__MATHDECL_1 (int, __signbit,, (_Mdouble_ __value))
__attribute__ ((__const__));
/* Multiply-add function computed as a ternary operation. */
__MATHCALL (fma,, (_Mdouble_ __x, _Mdouble_ __y, _Mdouble_ __z));
#endif /* Use ISO C99. */
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/* Copyright (C) 1997, 1999, 2000 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 Lesser General Public
License as published by the Free Software Foundation; either
version 2.1 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
Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public
License along with the GNU C Library; if not, write to the Free
Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
02111-1307 USA. */
/*
* ISO C99 7.6: Floating-point environment <fenv.h>
*/
#ifndef _FENV_H
#define _FENV_H 1
#include <features.h>
/* Get the architecture dependend definitions. The following definitions
are expected to be done:
fenv_t type for object representing an entire floating-point
environment
FE_DFL_ENV macro of type pointer to fenv_t to be used as the argument
to functions taking an argument of type fenv_t; in this
case the default environment will be used
fexcept_t type for object representing the floating-point exception
flags including status associated with the flags
The following macros are defined iff the implementation supports this
kind of exception.
FE_INEXACT inexact result
FE_DIVBYZERO division by zero
FE_UNDERFLOW result not representable due to underflow
FE_OVERFLOW result not representable due to overflow
FE_INVALID invalid operation
FE_ALL_EXCEPT bitwise OR of all supported exceptions
The next macros are defined iff the appropriate rounding mode is
supported by the implementation.
FE_TONEAREST round to nearest
FE_UPWARD round toward +Inf
FE_DOWNWARD round toward -Inf
FE_TOWARDZERO round toward 0
*/
#include <bits/fenv.h>
__BEGIN_DECLS
/* Floating-point exception handling. */
/* Clear the supported exceptions represented by EXCEPTS. */
extern int feclearexcept (int __excepts) __THROW;
/* Store implementation-defined representation of the exception flags
indicated by EXCEPTS in the object pointed to by FLAGP. */
extern int fegetexceptflag (fexcept_t *__flagp, int __excepts) __THROW;
/* Raise the supported exceptions represented by EXCEPTS. */
extern int feraiseexcept (int __excepts) __THROW;
/* Set complete status for exceptions indicated by EXCEPTS according to
the representation in the object pointed to by FLAGP. */
extern int fesetexceptflag (__const fexcept_t *__flagp, int __excepts) __THROW;
/* Determine which of subset of the exceptions specified by EXCEPTS are
currently set. */
extern int fetestexcept (int __excepts) __THROW;
/* Rounding control. */
/* Get current rounding direction. */
extern int fegetround (void) __THROW;
/* Establish the rounding direction represented by ROUND. */
extern int fesetround (int __rounding_direction) __THROW;
/* Floating-point environment. */
/* Store the current floating-point environment in the object pointed
to by ENVP. */
extern int fegetenv (fenv_t *__envp) __THROW;
/* Save the current environment in the object pointed to by ENVP, clear
exception flags and install a non-stop mode (if available) for all
exceptions. */
extern int feholdexcept (fenv_t *__envp) __THROW;
/* Establish the floating-point environment represented by the object
pointed to by ENVP. */
extern int fesetenv (__const fenv_t *__envp) __THROW;
/* Save current exceptions in temporary storage, install environment
represented by object pointed to by ENVP and raise exceptions
according to saved exceptions. */
extern int feupdateenv (__const fenv_t *__envp) __THROW;
/* Include optimization. */
#ifdef __OPTIMIZE__
# include <bits/fenvinline.h>
#endif
#ifdef __USE_GNU
/* Enable individual exceptions. Will not enable more exceptions than
EXCEPTS specifies. Returns the previous enabled exceptions if all
exceptions are successfully set, otherwise returns -1. */
extern int feenableexcept (int __excepts) __THROW;
/* Disable individual exceptions. Will not disable more exceptions than
EXCEPTS specifies. Returns the previous enabled exceptions if all
exceptions are successfully disabled, otherwise returns -1. */
extern int fedisableexcept (int __excepts) __THROW;
/* Return enabled exceptions. */
extern int fegetexcept (void) __THROW;
#endif
__END_DECLS
#endif /* fenv.h */
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/* Declarations for math functions.
Copyright (C) 1991-1993,1995-1999,2001,2002 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 Lesser General Public
License as published by the Free Software Foundation; either
version 2.1 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
Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public
License along with the GNU C Library; if not, write to the Free
Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
02111-1307 USA. */
/*
* ISO C99 Standard: 7.12 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_ISOC99
# include <bits/nan.h>
#endif
/* Get general and ISO C99 specific information. */
#include <bits/mathdef.h>
/* 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 __THROW
#define _Mdouble_ double
#define __MATH_PRECNAME(name,r) __CONCAT(name,r)
# define _Mdouble_BEGIN_NAMESPACE __BEGIN_NAMESPACE_STD
# define _Mdouble_END_NAMESPACE __END_NAMESPACE_STD
#include <bits/mathcalls.h>
#undef _Mdouble_
#undef _Mdouble_BEGIN_NAMESPACE
#undef _Mdouble_END_NAMESPACE
#undef __MATH_PRECNAME
#if defined __USE_MISC || defined __USE_ISOC99
/* 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
# define _Mdouble_BEGIN_NAMESPACE __BEGIN_NAMESPACE_C99
# define _Mdouble_END_NAMESPACE __END_NAMESPACE_C99
# include <bits/mathcalls.h>
# undef _Mdouble_
# undef _Mdouble_BEGIN_NAMESPACE
# undef _Mdouble_END_NAMESPACE
# undef __MATH_PRECNAME
# if (__STDC__ - 0 || __GNUC__ - 0) && !defined __NO_LONG_DOUBLE_MATH
/* 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
# define _Mdouble_BEGIN_NAMESPACE __BEGIN_NAMESPACE_C99
# define _Mdouble_END_NAMESPACE __END_NAMESPACE_C99
# include <bits/mathcalls.h>
# undef _Mdouble_
# undef _Mdouble_BEGIN_NAMESPACE
# undef _Mdouble_END_NAMESPACE
# undef __MATH_PRECNAME
# endif /* __STDC__ || __GNUC__ */
#endif /* Use misc or ISO C99. */
#undef __MATHDECL_1
#undef __MATHDECL
#undef __MATHCALL
#if defined __USE_MISC || defined __USE_XOPEN
/* This variable is used by `gamma' and `lgamma'. */
extern int signgam;
#endif
/* ISO C99 defines some generic macros which work on any data type. */
#if __USE_ISOC99
/* 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 `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.
*/
/* 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. */
# ifdef __NO_LONG_DOUBLE_MATH
# define fpclassify(x) \
(sizeof (x) == sizeof (float) ? __fpclassifyf (x) : __fpclassify (x))
# else
# define fpclassify(x) \
(sizeof (x) == sizeof (float) \
? __fpclassifyf (x) \
: sizeof (x) == sizeof (double) \
? __fpclassify (x) : __fpclassifyl (x))
# endif
/* Return nonzero value if sign of X is negative. */
# ifdef __NO_LONG_DOUBLE_MATH
# define signbit(x) \
(sizeof (x) == sizeof (float) ? __signbitf (x) : __signbit (x))
# else
# define signbit(x) \
(sizeof (x) == sizeof (float) \
? __signbitf (x) \
: sizeof (x) == sizeof (double) \
? __signbit (x) : __signbitl (x))
# endif
/* Return nonzero value if X is not +-Inf or NaN. */
# ifdef __NO_LONG_DOUBLE_MATH
# define isfinite(x) \
(sizeof (x) == sizeof (float) ? __finitef (x) : __finite (x))
# else
# define isfinite(x) \
(sizeof (x) == sizeof (float) \
? __finitef (x) \
: sizeof (x) == sizeof (double) \
? __finite (x) : __finitel (x))
# endif
/* 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. */
# ifdef __NO_LONG_DOUBLE_MATH
# define isnan(x) \
(sizeof (x) == sizeof (float) ? __isnanf (x) : __isnan (x))
# else
# define isnan(x) \
(sizeof (x) == sizeof (float) \
? __isnanf (x) \
: sizeof (x) == sizeof (double) \
? __isnan (x) : __isnanl (x))
# endif
/* Return nonzero value is X is positive or negative infinity. */
# ifdef __NO_LONG_DOUBLE_MATH
# define isinf(x) \
(sizeof (x) == sizeof (float) ? __isinff (x) : __isinf (x))
# else
# define isinf(x) \
(sizeof (x) == sizeof (float) \
? __isinff (x) \
: sizeof (x) == sizeof (double) \
? __isinf (x) : __isinfl (x))
# endif
/* Bitmasks for the math_errhandling macro. */
# define MATH_ERRNO 1 /* errno set by math functions. */
# define MATH_ERREXCEPT 2 /* Exceptions raised by math functions. */
#endif /* Use ISO C99. */
#ifdef __USE_MISC
/* Support for various different standard error handling behaviors. */
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 C99. */
} _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 (struct __exception *__exc) throw ();
# else
extern int matherr (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 3.40282347e+38F
#else /* !SVID */
# ifdef __USE_XOPEN
/* X/Open wants another strange constant. */
# define MAXFLOAT 3.40282347e+38F
# endif
#endif /* SVID */
/* Some useful constants. */
#if defined __USE_BSD || defined __USE_XOPEN
# 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 1.4426950408889634073599246810018921L /* 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
/* When compiling in strict ISO C compatible mode we must not use the
inline functions since they, among other things, do not set the
`errno' variable correctly. */
#if defined __STRICT_ANSI__ && !defined __NO_MATH_INLINES
# define __NO_MATH_INLINES 1
#endif
/* Get machine-dependent inline versions (if there are any). */
#ifdef __USE_EXTERN_INLINES
# include <bits/mathinline.h>
#endif
#if __USE_ISOC99
/* ISO C99 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
#endif /* math.h */
@@ -0,0 +1,323 @@
/*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
*
* Developed at SunPro, a Sun Microsystems, Inc. business.
* Permission to use, copy, modify, and distribute this
* software is freely granted, provided that this notice
* is preserved.
* ====================================================
*/
/*
* from: @(#)fdlibm.h 5.1 93/09/24
* $Id: math_private.h,v 1.1 2005/03/10 19:37:35 korli Exp $
*/
#ifndef _MATH_PRIVATE_H_
#define _MATH_PRIVATE_H_
#include <endian.h>
#include <sys/types.h>
#include <stdint.h>
/* The original fdlibm code used statements like:
n0 = ((*(int*)&one)>>29)^1; * index of high word *
ix0 = *(n0+(int*)&x); * high word of x *
ix1 = *((1-n0)+(int*)&x); * low word of x *
to dig two 32 bit words out of the 64 bit IEEE floating point
value. That is non-ANSI, and, moreover, the gcc instruction
scheduler gets it wrong. We instead use the following macros.
Unlike the original code, we determine the endianness at compile
time, not at run time; I don't see much benefit to selecting
endianness at run time. */
/* A union which permits us to convert between a double and two 32 bit
ints. */
#if __FLOAT_WORD_ORDER == BIG_ENDIAN
typedef union
{
double value;
struct
{
u_int32_t msw;
u_int32_t lsw;
} parts;
} ieee_double_shape_type;
#endif
#if __FLOAT_WORD_ORDER == LITTLE_ENDIAN
typedef union
{
double value;
struct
{
u_int32_t lsw;
u_int32_t msw;
} parts;
} ieee_double_shape_type;
#endif
/* Get two 32 bit ints from a double. */
#define EXTRACT_WORDS(ix0,ix1,d) \
do { \
ieee_double_shape_type ew_u; \
ew_u.value = (d); \
(ix0) = ew_u.parts.msw; \
(ix1) = ew_u.parts.lsw; \
} while (0)
/* Get the more significant 32 bit int from a double. */
#define GET_HIGH_WORD(i,d) \
do { \
ieee_double_shape_type gh_u; \
gh_u.value = (d); \
(i) = gh_u.parts.msw; \
} while (0)
/* Get the less significant 32 bit int from a double. */
#define GET_LOW_WORD(i,d) \
do { \
ieee_double_shape_type gl_u; \
gl_u.value = (d); \
(i) = gl_u.parts.lsw; \
} while (0)
/* Set a double from two 32 bit ints. */
#define INSERT_WORDS(d,ix0,ix1) \
do { \
ieee_double_shape_type iw_u; \
iw_u.parts.msw = (ix0); \
iw_u.parts.lsw = (ix1); \
(d) = iw_u.value; \
} while (0)
/* Set the more significant 32 bits of a double from an int. */
#define SET_HIGH_WORD(d,v) \
do { \
ieee_double_shape_type sh_u; \
sh_u.value = (d); \
sh_u.parts.msw = (v); \
(d) = sh_u.value; \
} while (0)
/* Set the less significant 32 bits of a double from an int. */
#define SET_LOW_WORD(d,v) \
do { \
ieee_double_shape_type sl_u; \
sl_u.value = (d); \
sl_u.parts.lsw = (v); \
(d) = sl_u.value; \
} while (0)
/* A union which permits us to convert between a float and a 32 bit
int. */
typedef union
{
float value;
u_int32_t word;
} ieee_float_shape_type;
/* Get a 32 bit int from a float. */
#define GET_FLOAT_WORD(i,d) \
do { \
ieee_float_shape_type gf_u; \
gf_u.value = (d); \
(i) = gf_u.word; \
} while (0)
/* Set a float from a 32 bit int. */
#define SET_FLOAT_WORD(d,i) \
do { \
ieee_float_shape_type sf_u; \
sf_u.word = (i); \
(d) = sf_u.value; \
} while (0)
/* Get long double macros from a separate header. */
#include <math_ldbl.h>
/* ieee style elementary functions */
extern double __ieee754_sqrt (double);
extern double __ieee754_acos (double);
extern double __ieee754_acosh (double);
extern double __ieee754_log (double);
extern double __ieee754_atanh (double);
extern double __ieee754_asin (double);
extern double __ieee754_atan2 (double,double);
extern double __ieee754_exp (double);
extern double __ieee754_exp2 (double);
extern double __ieee754_exp10 (double);
extern double __ieee754_cosh (double);
extern double __ieee754_fmod (double,double);
extern double __ieee754_pow (double,double);
extern double __ieee754_lgamma_r (double,int *);
extern double __ieee754_gamma_r (double,int *);
extern double __ieee754_lgamma (double);
extern double __ieee754_gamma (double);
extern double __ieee754_log10 (double);
extern double __ieee754_log2 (double);
extern double __ieee754_sinh (double);
extern double __ieee754_hypot (double,double);
extern double __ieee754_j0 (double);
extern double __ieee754_j1 (double);
extern double __ieee754_y0 (double);
extern double __ieee754_y1 (double);
extern double __ieee754_jn (int,double);
extern double __ieee754_yn (int,double);
extern double __ieee754_remainder (double,double);
extern int32_t __ieee754_rem_pio2 (double,double*);
extern double __ieee754_scalb (double,double);
/* fdlibm kernel function */
extern double __kernel_standard (double,double,int);
extern double __kernel_sin (double,double,int);
extern double __kernel_cos (double,double);
extern double __kernel_tan (double,double,int);
extern int __kernel_rem_pio2 (double*,double*,int,int,int, const int32_t*);
/* internal functions. */
extern double __copysign (double x, double __y);
/* ieee style elementary float functions */
extern float __ieee754_sqrtf (float);
extern float __ieee754_acosf (float);
extern float __ieee754_acoshf (float);
extern float __ieee754_logf (float);
extern float __ieee754_atanhf (float);
extern float __ieee754_asinf (float);
extern float __ieee754_atan2f (float,float);
extern float __ieee754_expf (float);
extern float __ieee754_exp2f (float);
extern float __ieee754_exp10f (float);
extern float __ieee754_coshf (float);
extern float __ieee754_fmodf (float,float);
extern float __ieee754_powf (float,float);
extern float __ieee754_lgammaf_r (float,int *);
extern float __ieee754_gammaf_r (float,int *);
extern float __ieee754_lgammaf (float);
extern float __ieee754_gammaf (float);
extern float __ieee754_log10f (float);
extern float __ieee754_log2f (float);
extern float __ieee754_sinhf (float);
extern float __ieee754_hypotf (float,float);
extern float __ieee754_j0f (float);
extern float __ieee754_j1f (float);
extern float __ieee754_y0f (float);
extern float __ieee754_y1f (float);
extern float __ieee754_jnf (int,float);
extern float __ieee754_ynf (int,float);
extern float __ieee754_remainderf (float,float);
extern int32_t __ieee754_rem_pio2f (float,float*);
extern float __ieee754_scalbf (float,float);
/* float versions of fdlibm kernel functions */
extern float __kernel_sinf (float,float,int);
extern float __kernel_cosf (float,float);
extern float __kernel_tanf (float,float,int);
extern int __kernel_rem_pio2f (float*,float*,int,int,int, const int32_t*);
/* internal functions. */
extern float __copysignf (float x, float __y);
/* ieee style elementary long double functions */
extern long double __ieee754_sqrtl (long double);
extern long double __ieee754_acosl (long double);
extern long double __ieee754_acoshl (long double);
extern long double __ieee754_logl (long double);
extern long double __ieee754_atanhl (long double);
extern long double __ieee754_asinl (long double);
extern long double __ieee754_atan2l (long double,long double);
extern long double __ieee754_expl (long double);
extern long double __ieee754_exp2l (long double);
extern long double __ieee754_exp10l (long double);
extern long double __ieee754_coshl (long double);
extern long double __ieee754_fmodl (long double,long double);
extern long double __ieee754_powl (long double,long double);
extern long double __ieee754_lgammal_r (long double,int *);
extern long double __ieee754_gammal_r (long double,int *);
extern long double __ieee754_lgammal (long double);
extern long double __ieee754_gammal (long double);
extern long double __ieee754_log10l (long double);
extern long double __ieee754_log2l (long double);
extern long double __ieee754_sinhl (long double);
extern long double __ieee754_hypotl (long double,long double);
extern long double __ieee754_j0l (long double);
extern long double __ieee754_j1l (long double);
extern long double __ieee754_y0l (long double);
extern long double __ieee754_y1l (long double);
extern long double __ieee754_jnl (int,long double);
extern long double __ieee754_ynl (int,long double);
extern long double __ieee754_remainderl (long double,long double);
extern int32_t __ieee754_rem_pio2l (long double,long double*);
extern long double __ieee754_scalbl (long double,long double);
/* long double versions of fdlibm kernel functions */
extern long double __kernel_sinl (long double,long double,int);
extern long double __kernel_cosl (long double,long double);
extern long double __kernel_tanl (long double,long double,int);
extern void __kernel_sincosl (long double,long double,
long double *,long double *, int);
extern int __kernel_rem_pio2l (long double*,long double*,int,int,
int,const int*);
#ifndef NO_LONG_DOUBLE
/* prototypes required to compile the ldbl-96 support without warnings */
extern int __finitel (long double);
extern int __ilogbl (long double);
extern int __isinfl (long double);
extern int __isnanl (long double);
extern long double __atanl (long double);
extern long double __copysignl (long double, long double);
extern long double __expm1l (long double);
extern long double __floorl (long double);
extern long double __frexpl (long double, int *);
extern long double __ldexpl (long double, int);
extern long double __log1pl (long double);
extern long double __nanl (const char *);
extern long double __rintl (long double);
extern long double __scalbnl (long double, int);
extern long double __sqrtl (long double x);
extern long double fabsl (long double x);
extern void __sincosl (long double, long double *, long double *);
extern long double __logbl (long double x);
extern long double __significandl (long double x);
#endif
/* Prototypes for functions of the IBM Accurate Mathematical Library. */
extern double __exp1 (double __x, double __xx, double __error);
extern double __sin (double __x);
extern double __cos (double __x);
extern int __branred (double __x, double *__a, double *__aa);
extern void __doasin (double __x, double __dx, double __v[]);
extern void __dubsin (double __x, double __dx, double __v[]);
extern void __dubcos (double __x, double __dx, double __v[]);
extern double __halfulp (double __x, double __y);
extern double __sin32 (double __x, double __res, double __res1);
extern double __cos32 (double __x, double __res, double __res1);
extern double __mpsin (double __x, double __dx);
extern double __mpcos (double __x, double __dx);
extern double __mpsin1 (double __x);
extern double __mpcos1 (double __x);
extern double __slowexp (double __x);
extern double __slowpow (double __x, double __y, double __z);
extern void __docos (double __x, double __dx, double __v[]);
#endif /* _MATH_PRIVATE_H_ */