/* 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 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 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
__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>
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 __MATHDECL_1(type, function,suffix, args) \
extern type __MATH_PRECNAME(function,suffix) args
#define _Mdouble_ double
-#define __MATH_PRECNAME(name,r) name##r
+#define __MATH_PRECNAME(name,r) __CONCAT(name,r)
#include <mathcalls.h>
#undef _Mdouble_
#undef __MATH_PRECNAME
-#ifdef __USE_MISC
+#if defined __USE_MISC || defined __USE_ISOC9X
+
-/* Include the file of declarations again, this type using `float'
+/* Include the file of declarations again, this time using `float'
instead of `double' and appending f to each function name. */
-#define _Mdouble_ 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
#include <mathcalls.h>
#undef _Mdouble_
#undef __MATH_PRECNAME
-/* Include the file of declarations again, this type using `long double'
+#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. */
-#define _Mdouble_ long double
+#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 <mathcalls.h>
#undef _Mdouble_
#undef __MATH_PRECNAME
-#endif /* Use misc. */
+#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
+
+/* 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) ? \
+ __finitef (x) \
+ : sizeof (x) == sizeof (double) ? \
+ __finite (x) : __finitel (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) (fpclassify (x) >= FP_ZERO)
+
+/* 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))
+/* Conversion functions. */
+
+/* Round X to nearest integral value according to current rounding
+ direction. */
+extern long int rinttol __P ((double __x));
+extern long long int rinttoll __P ((double __x));
+
+/* Round X to nearest integral value, rounding halfway cases away from
+ zero. */
+extern long int roundtol __P ((double __x));
+extern long long int roundtoll __P ((double __x));
+
+
+/* Comparison macros. */
+
+/* Return nonzero value if X is greater than Y. */
+#define isgreater(x, y) (!isunordered ((x), (y)) && (x) > (y))
+
+/* Return nonzero value if X is greater than or equal to Y. */
+#define isgreaterequal(x, y) (!isunordered ((x), (y)) && (x) >= (y))
+
+/* Return nonzero value if X is less than Y. */
+#define isless(x, y) (!isunordered ((x), (y)) && (x) < (y))
+
+/* Return nonzero value if X is less than or equal to Y. */
+#define islessequal(x, y) (!isunordered ((x), (y)) && (x) <= (y))
+
+/* Return nonzero value if either X is less than Y or Y is less than X. */
+#define islessgreater(x, y) \
+ (!isunordered ((x), (y)) && ((x) < (y) || (y) < (x)))
+
+/* Return nonzero value if arguments are unordered. */
+#define isunordered(x, y) \
+ (fpclassify (x) == FP_NAN || fpclassify (y) == FP_NAN)
+
+#endif /* Use ISO C 9X. */
+
#ifdef __USE_MISC
/* Support for various different standard error handling behaviors. */
#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 reserved in
+ C++. */
+#ifdef __cplusplus
+struct __exception
+#else
struct exception
+#endif
{
int type;
char *name;
double retval;
};
+#ifdef __cplusplus
+extern int __matherr __P ((struct __exception *));
+extern int matherr __P ((struct __exception *));
+#else
+extern int __matherr __P ((struct exception *));
extern int matherr __P ((struct exception *));
+#endif
#define X_TLOSS 1.41484755040568800000e+16
#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 */
+
#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 M_E _Mldbl(2.7182818284590452354) /* e */
+#define M_LOG2E _Mldbl(1.4426950408889634074) /* log 2e */
+#define M_LOG10E _Mldbl(0.43429448190325182765) /* log 10e */
+#define M_LN2 _Mldbl(0.69314718055994530942) /* log e2 */
+#define M_LN10 _Mldbl(2.30258509299404568402) /* log e10 */
+#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) */
+
+/* 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 __STDC__ - 0 || __GNUC__ - 0
+#define _Mldbl(x) x##L
+#else /* Traditional C. */
+#define _Mldbl(x) x
+#endif /* Standard or GNU C. */
+
#endif
/* Get machine-dependent inline versions (if there are any). */
-#if defined (__NO_MATH_INLINES) || defined (__OPTIMIZE__)
+#if (!defined __NO_MATH_INLINES && defined __OPTIMIZE__) \
+ || defined __LIBC_M81_MATH_INLINES
#include <__math.h>
#endif