289 lines
8.5 KiB
C
289 lines
8.5 KiB
C
/* Declarations for math functions.
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Copyright (C) 1991, 92, 93, 95, 96, 97 Free Software Foundation, Inc.
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This file is part of the GNU C Library.
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The GNU C Library is free software; you can redistribute it and/or
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modify it under the terms of the GNU Library General Public License as
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published by the Free Software Foundation; either version 2 of the
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License, or (at your option) any later version.
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The GNU C Library is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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Library General Public License for more details.
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You should have received a copy of the GNU Library General Public
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License along with the GNU C Library; see the file COPYING.LIB. If not,
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write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
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Boston, MA 02111-1307, USA. */
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/*
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* ISO C Standard: 4.5 MATHEMATICS <math.h>
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*/
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#ifndef _MATH_H
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#define _MATH_H 1
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#include <features.h>
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__BEGIN_DECLS
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/* Get machine-dependent HUGE_VAL value (returned on overflow).
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On all IEEE754 machines, this is +Infinity. */
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#include <huge_val.h>
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/* Get machine-dependent NAN value (returned for some domain errors). */
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#ifdef __USE_GNU
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#include <nan.h>
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#endif
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/* The file <mathcalls.h> contains the prototypes for all the actual
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math functions. These macros are used for those prototypes, so
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we can easily declare each function as both `name' and `__name',
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and can declare the float versions `namef' and `__namef'. */
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#define __MATHCALL(function,suffix, args) \
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__MATHDECL (_Mdouble_,function,suffix, args)
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#define __MATHDECL(type, function,suffix, args) \
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__MATHDECL_1(type, function,suffix, args); \
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__MATHDECL_1(type, __CONCAT(__,function),suffix, args)
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#define __MATHDECL_1(type, function,suffix, args) \
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extern type __MATH_PRECNAME(function,suffix) args
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#define _Mdouble_ double
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#define __MATH_PRECNAME(name,r) __CONCAT(name,r)
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#include <mathcalls.h>
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#undef _Mdouble_
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#undef __MATH_PRECNAME
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#if defined __USE_MISC || defined __USE_ISOC9X
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/* Include the file of declarations again, this time using `float'
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instead of `double' and appending f to each function name. */
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#ifndef _Mfloat_
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#define _Mfloat_ float
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#endif
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#define _Mdouble_ _Mfloat_
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#ifdef __STDC__
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#define __MATH_PRECNAME(name,r) name##f##r
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#else
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#define __MATH_PRECNAME(name,r) name/**/f/**/r
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#endif
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#include <mathcalls.h>
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#undef _Mdouble_
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#undef __MATH_PRECNAME
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#if __STDC__ - 0 || __GNUC__ - 0
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/* Include the file of declarations again, this time using `long double'
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instead of `double' and appending l to each function name. */
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#ifndef _Mlong_double_
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#define _Mlong_double_ long double
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#endif
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#define _Mdouble_ _Mlong_double_
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#ifdef __STDC__
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#define __MATH_PRECNAME(name,r) name##l##r
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#else
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#define __MATH_PRECNAME(name,r) name/**/l/**/r
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#endif
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#include <mathcalls.h>
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#undef _Mdouble_
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#undef __MATH_PRECNAME
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#endif /* __STDC__ || __GNUC__ */
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#endif /* Use misc or ISO C 9X. */
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/* ISO C 9X defines some generic macros which work on any data type. */
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#if __USE_ISOC9X
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/* All floating-point numbers can be put in one of these categories. */
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enum
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{
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FP_NAN,
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#define FP_NAN FP_NAN
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FP_INFINITE,
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#define FP_INFINITE FP_INFINITE
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FP_ZERO,
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#define FP_ZERO FP_ZERO
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FP_SUBNORMAL,
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#define FP_SUBNORMAL FP_SUBNORMAL
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FP_NORMAL
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#define FP_NORMAL FP_NORMAL
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};
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/* Return number of classification appropriate for X. */
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#define fpclassify(x) \
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(sizeof (x) == sizeof (float) ? \
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__finitef (x) \
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: sizeof (x) == sizeof (double) ? \
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__finite (x) : __finitel (x))
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/* Return nonzero value if sign of X is negative. */
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#define signbit(x) \
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(sizeof (x) == sizeof (float) ? \
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__signbitf (x) \
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: sizeof (x) == sizeof (double) ? \
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__signbit (x) : __signbitl (x))
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/* Return nonzero value if X is not +-Inf or NaN. */
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#define isfinite(x) (fpclassify (x) >= FP_ZERO)
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/* Return nonzero value if X is neither zero, subnormal, Inf, nor NaN. */
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#define isnormal(x) (fpclassify (x) == FP_NORMAL)
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/* Return nonzero value if X is a NaN. We could use `fpclassify' but
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we already have this functions `__isnan' and it is faster. */
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#define isnan(x) \
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(sizeof (x) == sizeof (float) ? \
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__isnanf (x) \
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: sizeof (x) == sizeof (double) ? \
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__isnan (x) : __isnanl (x))
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/* Conversion functions. */
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/* Round X to nearest integral value according to current rounding
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direction. */
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extern long int rinttol __P ((double __x));
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extern long long int rinttoll __P ((double __x));
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/* Round X to nearest integral value, rounding halfway cases away from
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zero. */
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extern long int roundtol __P ((double __x));
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extern long long int roundtoll __P ((double __x));
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/* Comparison macros. */
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/* Return nonzero value if X is greater than Y. */
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#define isgreater(x, y) (!isunordered ((x), (y)) && (x) > (y))
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/* Return nonzero value if X is greater than or equal to Y. */
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#define isgreaterequal(x, y) (!isunordered ((x), (y)) && (x) >= (y))
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/* Return nonzero value if X is less than Y. */
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#define isless(x, y) (!isunordered ((x), (y)) && (x) < (y))
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/* Return nonzero value if X is less than or equal to Y. */
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#define islessequal(x, y) (!isunordered ((x), (y)) && (x) <= (y))
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/* Return nonzero value if either X is less than Y or Y is less than X. */
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#define islessgreater(x, y) \
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(!isunordered ((x), (y)) && ((x) < (y) || (y) < (x)))
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/* Return nonzero value if arguments are unordered. */
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#define isunordered(x, y) \
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(fpclassify (x) == FP_NAN || fpclassify (y) == FP_NAN)
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#endif /* Use ISO C 9X. */
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#ifdef __USE_MISC
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/* Support for various different standard error handling behaviors. */
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typedef enum { _IEEE_ = -1, _SVID_, _XOPEN_, _POSIX_ } _LIB_VERSION_TYPE;
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/* This variable can be changed at run-time to any of the values above to
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affect floating point error handling behavior (it may also be necessary
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to change the hardware FPU exception settings). */
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extern _LIB_VERSION_TYPE _LIB_VERSION;
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#endif
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#ifdef __USE_SVID
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/* In SVID error handling, `matherr' is called with this description
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of the exceptional condition.
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We have a problem when using C++ since `exception' is reserved in
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C++. */
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#ifdef __cplusplus
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struct __exception
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#else
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struct exception
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#endif
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{
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int type;
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char *name;
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double arg1;
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double arg2;
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double retval;
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};
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#ifdef __cplusplus
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extern int __matherr __P ((struct __exception *));
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extern int matherr __P ((struct __exception *));
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#else
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extern int __matherr __P ((struct exception *));
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extern int matherr __P ((struct exception *));
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#endif
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#define X_TLOSS 1.41484755040568800000e+16
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/* Types of exceptions in the `type' field. */
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#define DOMAIN 1
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#define SING 2
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#define OVERFLOW 3
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#define UNDERFLOW 4
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#define TLOSS 5
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#define PLOSS 6
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/* SVID mode specifies returning this large value instead of infinity. */
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#define HUGE FLT_MAX
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#include <float.h> /* Defines FLT_MAX. */
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#else /* !SVID */
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#ifdef __USE_XOPEN
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/* X/Open wants another strange constant. */
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#define MAXFLOAT FLT_MAX
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#include <float.h>
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#endif
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#endif /* SVID */
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#ifdef __USE_BSD
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/* Some useful constants. */
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#define M_E _Mldbl(2.7182818284590452354) /* e */
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#define M_LOG2E _Mldbl(1.4426950408889634074) /* log 2e */
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#define M_LOG10E _Mldbl(0.43429448190325182765) /* log 10e */
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#define M_LN2 _Mldbl(0.69314718055994530942) /* log e2 */
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#define M_LN10 _Mldbl(2.30258509299404568402) /* log e10 */
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#define M_PI _Mldbl(3.14159265358979323846) /* pi */
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#define M_PI_2 _Mldbl(1.57079632679489661923) /* pi/2 */
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#define M_PI_4 _Mldbl(0.78539816339744830962) /* pi/4 */
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#define M_1_PI _Mldbl(0.31830988618379067154) /* 1/pi */
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#define M_2_PI _Mldbl(0.63661977236758134308) /* 2/pi */
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#define M_2_SQRTPI _Mldbl(1.12837916709551257390) /* 2/sqrt(pi) */
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#define M_SQRT2 _Mldbl(1.41421356237309504880) /* sqrt(2) */
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#define M_SQRT1_2 _Mldbl(0.70710678118654752440) /* 1/sqrt(2) */
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/* Our constants might specify more precision than `double' can represent.
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Use `long double' constants in standard and GNU C, where they are
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supported and the cast to `double'. */
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#if __STDC__ - 0 || __GNUC__ - 0
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#define _Mldbl(x) x##L
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#else /* Traditional C. */
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#define _Mldbl(x) x
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#endif /* Standard or GNU C. */
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#endif
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/* Get machine-dependent inline versions (if there are any). */
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#if (!defined __NO_MATH_INLINES && defined __OPTIMIZE__) \
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|| defined __LIBC_M81_MATH_INLINES
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#include <__math.h>
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#endif
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__END_DECLS
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#endif /* math.h */
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