/* 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) 1991-2014 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 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
-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
+ Lesser 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, 1992 Free Software Foundation, Inc., 675 Mass Ave,
-Cambridge, MA 02139, USA. */
+ You should have received a copy of the GNU Lesser General Public
+ License along with the GNU C Library; if not, see
+ <http://www.gnu.org/licenses/>. */
/*
- * ANSI Standard: 4.5 MATHEMATICS <math.h>
+ * ISO C99 Standard: 7.12 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>
+#ifdef __USE_ISOC99
+# include <bits/huge_valf.h>
+# include <bits/huge_vall.h>
+
+/* Get machine-dependent INFINITY value. */
+# include <bits/inf.h>
/* Get machine-dependent NAN value (returned for some domain errors). */
-#ifdef __USE_GNU
-#include <nan.h>
-#endif
+# include <bits/nan.h>
+#endif /* __USE_ISOC99 */
+/* Get general and ISO C99 specific information. */
+#include <bits/mathdef.h>
-/* 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
+ extern type __MATH_PRECNAME(function,suffix) args __THROW
-#define _Mdouble_ double
-#define __MATH_PRECNAME(name,r) name##r
-#include <mathcalls.h>
+#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
-#ifdef __USE_MISC
-/* Include the file of declarations again, this type using `float'
+#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. */
-#define _Mdouble_ float
-#define __MATH_PRECNAME(name,r) name##f##r
-#include <mathcalls.h>
-#undef _Mdouble_
-#undef __MATH_PRECNAME
+# ifndef _Mfloat_
+# define _Mfloat_ float
+# endif
+# define _Mdouble_ _Mfloat_
+# define __MATH_PRECNAME(name,r) name##f##r
+# 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 !(defined __NO_LONG_DOUBLE_MATH && defined _LIBC) \
+ || defined __LDBL_COMPAT
+# ifdef __LDBL_COMPAT
+
+# ifdef __USE_ISOC99
+extern float __nldbl_nexttowardf (float __x, long double __y)
+ __THROW __attribute__ ((__const__));
+# ifdef __REDIRECT_NTH
+extern float __REDIRECT_NTH (nexttowardf, (float __x, long double __y),
+ __nldbl_nexttowardf)
+ __attribute__ ((__const__));
+extern double __REDIRECT_NTH (nexttoward, (double __x, long double __y),
+ nextafter) __attribute__ ((__const__));
+extern long double __REDIRECT_NTH (nexttowardl,
+ (long double __x, long double __y),
+ nextafter) __attribute__ ((__const__));
+# endif
+# endif
+
+# undef __MATHDECL_1
+# define __MATHDECL_2(type, function,suffix, args, alias) \
+ extern type __REDIRECT_NTH(__MATH_PRECNAME(function,suffix), \
+ args, alias)
+# define __MATHDECL_1(type, function,suffix, args) \
+ __MATHDECL_2(type, function,suffix, args, __CONCAT(function,suffix))
+# endif
+
+/* 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_
+# define __MATH_PRECNAME(name,r) name##l##r
+# define _Mdouble_BEGIN_NAMESPACE __BEGIN_NAMESPACE_C99
+# define _Mdouble_END_NAMESPACE __END_NAMESPACE_C99
+# define __MATH_DECLARE_LDOUBLE 1
+# include <bits/mathcalls.h>
+# undef _Mdouble_
+# undef _Mdouble_BEGIN_NAMESPACE
+# undef _Mdouble_END_NAMESPACE
+# undef __MATH_PRECNAME
+
+# endif /* !(__NO_LONG_DOUBLE_MATH && _LIBC) || __LDBL_COMPAT */
+
+#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. */
+#ifdef __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 0
+ FP_NAN,
+ FP_INFINITE =
+# define FP_INFINITE 1
+ FP_INFINITE,
+ FP_ZERO =
+# define FP_ZERO 2
+ FP_ZERO,
+ FP_SUBNORMAL =
+# define FP_SUBNORMAL 3
+ FP_SUBNORMAL,
+ FP_NORMAL =
+# define FP_NORMAL 4
+ 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 if 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. */
+
+/* By default all functions support both errno and exception handling.
+ In gcc's fast math mode and if inline functions are defined this
+ might not be true. */
+# ifndef __FAST_MATH__
+# define math_errhandling (MATH_ERRNO | MATH_ERREXCEPT)
+# endif
+
+#endif /* Use ISO C99. */
+
+#ifdef __USE_GNU
+/* Return nonzero value if X is a signaling NaN. */
+# ifdef __NO_LONG_DOUBLE_MATH
+# define issignaling(x) \
+ (sizeof (x) == sizeof (float) ? __issignalingf (x) : __issignaling (x))
+# else
+# define issignaling(x) \
+ (sizeof (x) == sizeof (float) \
+ ? __issignalingf (x) \
+ : sizeof (x) == sizeof (double) \
+ ? __issignaling (x) : __issignalingl (x))
+# endif
+#endif /* Use GNU. */
+
#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 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
#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 (struct __exception *__exc) throw ();
+# else
+extern int matherr (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 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 2.718281828459045235360287471352662498L /* e */
+# define M_LOG2El 1.442695040888963407359924681001892137L /* log_2 e */
+# define M_LOG10El 0.434294481903251827651128918916605082L /* log_10 e */
+# define M_LN2l 0.693147180559945309417232121458176568L /* log_e 2 */
+# define M_LN10l 2.302585092994045684017991454684364208L /* log_e 10 */
+# define M_PIl 3.141592653589793238462643383279502884L /* pi */
+# define M_PI_2l 1.570796326794896619231321691639751442L /* pi/2 */
+# define M_PI_4l 0.785398163397448309615660845819875721L /* pi/4 */
+# define M_1_PIl 0.318309886183790671537767526745028724L /* 1/pi */
+# define M_2_PIl 0.636619772367581343075535053490057448L /* 2/pi */
+# define M_2_SQRTPIl 1.128379167095512573896158903121545172L /* 2/sqrt(pi) */
+# define M_SQRT2l 1.414213562373095048801688724209698079L /* sqrt(2) */
+# define M_SQRT1_2l 0.707106781186547524400844362104849039L /* 1/sqrt(2) */
+#endif
-/* Get machine-dependent inline versions (if there are any). */
-#include <__math.h>
+/* 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
-__END_DECLS
+#if defined __USE_ISOC99 && __GNUC_PREREQ(2,97)
+/* ISO C99 defines some macros to compare number while taking care for
+ unordered numbers. Many FPUs provide special instructions to support
+ these operations. Generic support in GCC for these as builtins went
+ in before 3.0.0, but not all cpus added their patterns. We define
+ versions that use the builtins here, and <bits/mathinline.h> will
+ undef/redefine as appropriate for the specific GCC version in use. */
+# 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(u, v) __builtin_isunordered(u, v)
+#endif
+/* Get machine-dependent inline versions (if there are any). */
+#ifdef __USE_EXTERN_INLINES
+# include <bits/mathinline.h>
+#endif
-#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) */
+/* Define special entry points to use when the compiler got told to
+ only expect finite results. */
+#if defined __FINITE_MATH_ONLY__ && __FINITE_MATH_ONLY__ > 0
+# include <bits/math-finite.h>
#endif
+#ifdef __USE_ISOC99
+/* If we've still got undefined comparison macros, provide defaults. */
+
+/* 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 */
projects / thirdparty / glibc.git / blobdiff