Moved one dir up.

[kopensolaris-gnu/glibc.git] / math / math.h

diff --git a/math/math.h b/math/math.h
index 2693fcc..a5d5b50 100644 (file)
--- a/math/math.h
+++ b/math/math.h
@@ -1,81 +1,213 @@
 /* Declarations for math functions.
 /* 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, 1992 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
  */
 
 #ifndef        _MATH_H

-

 #define        _MATH_H 1
 #define        _MATH_H 1

+

 #include <features.h>
 
 __BEGIN_DECLS
 
 #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.  */
 /* 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).  */
 
 /* Get machine-dependent NAN value (returned for some domain errors).  */

-#ifdef  __USE_GNU
-#include <nan.h>
+#ifdef  __USE_ISOC9X
+# include <bits/nan.h>

 #endif
 
 
 #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)      \
    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); \
 #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 __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
 
 #undef _Mdouble_
 #undef __MATH_PRECNAME
 

-#ifdef __USE_MISC
-/* Include the file of declarations again, this type using `float'
+#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.  */
 
    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_
+# 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
 
 
 #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 `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.  */
 #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
 
 /* 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


@@ -86,8 +218,15 @@ extern _LIB_VERSION_TYPE _LIB_VERSION;
 
 #ifdef __USE_SVID
 /* In SVID error handling, `matherr' is called with this description
 
 #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
 struct exception

+# endif

   {
     int type;
     char *name;
   {
     int type;
     char *name;


@@ -96,48 +235,140 @@ struct exception
     double retval;
   };
 
     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.  */
 
 /* 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.  */
 
 /* 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.  */
+
+#else  /* !SVID */

 
 

+# ifdef __USE_XOPEN
+/* X/Open wants another strange constant.  */
+#  define MAXFLOAT     FLT_MAX
+#  include <float.h>
+# endif
+
+#endif /* SVID */
+
+
+/* Some useful constants.  */
+#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
 
 #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).  */
-#include <__math.h>

 
 

+/* Get machine-dependent inline versions (if there are any).  */
+#ifdef __OPTIMIZE__
+# include <bits/mathinline.h>
+#endif

 
 

-__END_DECLS

 
 

+#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

 
 

-#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) */

 #endif
 
 #endif
 

+__END_DECLS
+

 
 #endif /* math.h  */
 
 #endif /* math.h  */