/* Declarations for math functions.
- Copyright (C) 1991,92,93,95,96,97,98,99 Free Software Foundation, Inc.
+ Copyright (C) 1991-2016 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.
+ 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.
+ 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 Free Software Foundation, Inc., 59 Temple Place - Suite 330,
- Boston, MA 02111-1307, 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/>. */
/*
- * ISO C Standard: 4.5 MATHEMATICS <math.h>
+ * ISO C99 Standard: 7.12 Mathematics <math.h>
*/
#ifndef _MATH_H
#define _MATH_H 1
-#include <features.h>
+#define __GLIBC_INTERNAL_STARTING_HEADER_IMPLEMENTATION
+#include <bits/libc-header-start.h>
__BEGIN_DECLS
+/* Get machine-dependent vector math functions declarations. */
+#include <bits/math-vector.h>
+
/* Get machine-dependent HUGE_VAL value (returned on overflow).
On all IEEE754 machines, this is +Infinity. */
#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_ISOC99
# include <bits/nan.h>
-#endif
+#endif /* __USE_ISOC99 */
+
/* 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 __SIMD_DECL(function) __CONCAT (__DECL_SIMD_, function)
+
+#define __MATHCALL_VEC(function, suffix, args) \
+ __SIMD_DECL (__MATH_PRECNAME (function, suffix)) \
+ __MATHCALL (function, suffix, args)
+
+#define __MATHDECL_VEC(type, function,suffix, args) \
+ __SIMD_DECL (__MATH_PRECNAME (function, suffix)) \
+ __MATHDECL(type, function,suffix, args)
+
#define __MATHCALL(function,suffix, args) \
__MATHDECL (_Mdouble_,function,suffix, args)
#define __MATHDECL(type, function,suffix, args) \
#define __MATHDECL_1(type, function,suffix, args) \
extern type __MATH_PRECNAME(function,suffix) args __THROW
-#define _Mdouble_ double
+#define _Mdouble_ double
#define __MATH_PRECNAME(name,r) __CONCAT(name,r)
+#define __MATH_DECLARING_DOUBLE 1
+#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
+#undef __MATH_DECLARING_DOUBLE
-#if defined __USE_MISC || defined __USE_ISOC99
+#ifdef __USE_ISOC99
/* Include the file of declarations again, this time using `float'
# 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_ _Mfloat_
+# define __MATH_PRECNAME(name,r) name##f##r
+# define __MATH_DECLARING_DOUBLE 0
+# 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
+# undef __MATH_DECLARING_DOUBLE
+
+# if !(defined __NO_LONG_DOUBLE_MATH && defined _LIBC) \
+ || defined __LDBL_COMPAT \
+ || defined _LIBC_TEST
+# 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
-# 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_ _Mlong_double_
+# define __MATH_PRECNAME(name,r) name##l##r
+# define __MATH_DECLARING_DOUBLE 0
+# 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
+# undef __MATH_DECLARING_DOUBLE
-# endif /* __STDC__ || __GNUC__ */
+# endif /* !(__NO_LONG_DOUBLE_MATH && _LIBC) || __LDBL_COMPAT */
-#endif /* Use misc or ISO C99. */
+#endif /* Use ISO C99. */
#undef __MATHDECL_1
#undef __MATHDECL
#undef __MATHCALL
/* ISO C99 defines some generic macros which work on any data type. */
-#if __USE_ISOC99
+#ifdef __USE_ISOC99
/* Get the architecture specific values describing the floating-point
evaluation. The following symbols will get defined:
/* 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
+ 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
};
+/* GCC bug 66462 means we cannot use the math builtins with -fsignaling-nan,
+ so disable builtins if this is enabled. When fixed in a newer GCC,
+ the __SUPPORT_SNAN__ check may be skipped for those versions. */
+
/* Return number of classification appropriate for X. */
-# ifdef __NO_LONG_DOUBLE_MATH
+# if __GNUC_PREREQ (4,4) && !defined __SUPPORT_SNAN__ \
+ && !defined __OPTIMIZE_SIZE__
+# define fpclassify(x) __builtin_fpclassify (FP_NAN, FP_INFINITE, \
+ FP_NORMAL, FP_SUBNORMAL, FP_ZERO, x)
+# elif defined __NO_LONG_DOUBLE_MATH
# define fpclassify(x) \
(sizeof (x) == sizeof (float) ? __fpclassifyf (x) : __fpclassify (x))
# else
# endif
/* Return nonzero value if sign of X is negative. */
-# ifdef __NO_LONG_DOUBLE_MATH
+# if __GNUC_PREREQ (4,0)
# define signbit(x) \
- (sizeof (x) == sizeof (float) ? __signbitf (x) : __signbit (x))
+ (sizeof (x) == sizeof (float) \
+ ? __builtin_signbitf (x) \
+ : sizeof (x) == sizeof (double) \
+ ? __builtin_signbit (x) : __builtin_signbitl (x))
# else
-# define signbit(x) \
+# 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
# endif
/* Return nonzero value if X is not +-Inf or NaN. */
-# ifdef __NO_LONG_DOUBLE_MATH
+# if __GNUC_PREREQ (4,4) && !defined __SUPPORT_SNAN__
+# define isfinite(x) __builtin_isfinite (x)
+# elif defined __NO_LONG_DOUBLE_MATH
# define isfinite(x) \
(sizeof (x) == sizeof (float) ? __finitef (x) : __finite (x))
# else
# endif
/* Return nonzero value if X is neither zero, subnormal, Inf, nor NaN. */
-# define isnormal(x) (fpclassify (x) == FP_NORMAL)
+# if __GNUC_PREREQ (4,4) && !defined __SUPPORT_SNAN__
+# define isnormal(x) __builtin_isnormal (x)
+# else
+# define isnormal(x) (fpclassify (x) == FP_NORMAL)
+# endif
/* 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
+# if __GNUC_PREREQ (4,4) && !defined __SUPPORT_SNAN__
+# define isnan(x) __builtin_isnan (x)
+# elif defined __NO_LONG_DOUBLE_MATH
# define isnan(x) \
(sizeof (x) == sizeof (float) ? __isnanf (x) : __isnan (x))
# else
? __isnan (x) : __isnanl (x))
# endif
-/* Return nonzero value is X is positive or negative infinity. */
-# ifdef __NO_LONG_DOUBLE_MATH
+/* Return nonzero value if X is positive or negative infinity. */
+# if __GNUC_PREREQ (4,4) && !defined __SUPPORT_SNAN__
+# define isinf(x) __builtin_isinf_sign (x)
+# elif defined __NO_LONG_DOUBLE_MATH
# define isinf(x) \
(sizeof (x) == sizeof (float) ? __isinff (x) : __isinf (x))
# else
? __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. */
+#if __GLIBC_USE (IEC_60559_BFP_EXT)
+/* 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 IEC_60559_BFP_EXT. */
+
#ifdef __USE_MISC
/* Support for various different standard error handling behaviors. */
typedef enum
#endif
-#ifdef __USE_SVID
+#ifdef __USE_MISC
/* In SVID error handling, `matherr' is called with this description
of the exceptional condition.
# 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 */
+#else /* !Misc. */
# ifdef __USE_XOPEN
/* X/Open wants another strange constant. */
-# define MAXFLOAT FLT_MAX
-# include <float.h>
+# define MAXFLOAT 3.40282347e+38F
# endif
-#endif /* SVID */
+#endif /* Misc. */
/* Some useful constants. */
-#if defined __USE_BSD || defined __USE_XOPEN
+#if defined __USE_MISC || 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 */
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) */
+# 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
# define __NO_MATH_INLINES 1
#endif
+#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
+/* 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
-#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. */
+#ifdef __USE_ISOC99
+/* If we've still got undefined comparison macros, provide defaults. */
/* Return nonzero value if X is greater than Y. */
# ifndef isgreater
projects / thirdparty / glibc.git / blobdiff