-/* Copyright (C) 1991, 1992 Free Software Foundation, Inc.
-This file is part of the GNU C Library.
+/* Declarations for math functions.
+ 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, 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
__BEGIN_DECLS
-#define __need_Emath
-#include <errno.h>
-
-/* Get machine-dependent HUGE_VAL value (returned on overflow). */
+/* Get machine-dependent HUGE_VAL value (returned on overflow).
+ On all IEEE754 machines, this is +Infinity. */
#include <huge_val.h>
/* Get machine-dependent NAN value (returned for some domain errors). */
#endif
-#ifndef __CONSTVALUE
-#ifdef __GNUC__
-/* The `const' keyword tells GCC that a function's return value is
- based solely on its arguments, and there are no side-effects. */
-#define __CONSTVALUE __const
-#else
-#define __CONSTVALUE
-#endif /* GCC. */
-#endif /* __CONSTVALUE not defined. */
+/* 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',
+ and can declare the float versions `namef' and `__namef'. */
+#define __MATHCALL(function,suffix, args) \
+ __MATHDECL (_Mdouble_,function,suffix, args)
+#define __MATHDECL(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
-/* Trigonometric functions. */
+#define _Mdouble_ double
+#define __MATH_PRECNAME(name,r) __CONCAT(name,r)
+#include <mathcalls.h>
+#undef _Mdouble_
+#undef __MATH_PRECNAME
-/* Arc cosine of X. */
-extern __CONSTVALUE double acos __P ((double __x));
-/* Arc sine of X. */
-extern __CONSTVALUE double asin __P ((double __x));
-/* Arc tangent of X. */
-extern __CONSTVALUE double atan __P ((double __x));
-/* Arc tangent of Y/X. */
-extern __CONSTVALUE double atan2 __P ((double __y, double __x));
+#if defined __USE_MISC || defined __USE_ISOC9X
-/* Cosine of X. */
-extern __CONSTVALUE double cos __P ((double __x));
-/* Sine of X. */
-extern __CONSTVALUE double sin __P ((double __x));
-/* Tangent of X. */
-extern __CONSTVALUE double tan __P ((double __x));
+/* Include the file of declarations again, this time using `float'
+ instead of `double' and appending f to each function name. */
-/* Hyperbolic functions. */
+#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
-/* Hyperbolic cosine of X. */
-extern __CONSTVALUE double cosh __P ((double __x));
-/* Hyperbolic sine of X. */
-extern __CONSTVALUE double sinh __P ((double __x));
-/* Hyperbolic tangent of X. */
-extern __CONSTVALUE double tanh __P ((double __x));
+#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. */
-#ifdef __USE_MISC
-/* Hyperbolic arc cosine of X. */
-extern __CONSTVALUE double acosh __P ((double __x));
-/* Hyperbolic arc sine of X. */
-extern __CONSTVALUE double asinh __P ((double __x));
-/* Hyperbolic arc tangent of X. */
-extern __CONSTVALUE double atanh __P ((double __x));
+#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
-/* Exponential and logarithmic functions. */
+#endif /* __STDC__ || __GNUC__ */
-/* Exponentional function of X. */
-extern __CONSTVALUE double exp __P ((double __x));
+#endif /* Use misc or ISO C 9X. */
+#undef __MATHDECL_1
+#undef __MATHDECL
+#undef __MATHCALL
-/* Break VALUE into a normalized fraction and an integral power of 2. */
-extern double frexp __P ((double __value, int *__exp));
-/* X times (two to the EXP power). */
-extern __CONSTVALUE double ldexp __P ((double __x, int __exp));
+#if defined __USE_MISC || defined __USE_XOPEN || defined __USE_ISOC9X
+/* This variable is used by `gamma' and `lgamma'. */
+extern int signgam;
+#endif
-/* Natural logarithm of X. */
-extern __CONSTVALUE double log __P ((double __x));
-/* Base-ten logarithm of X. */
-extern __CONSTVALUE double log10 __P ((double __x));
+/* ISO C 9X defines some generic macros which work on any data type. */
+#if __USE_ISOC9X
-#ifdef __USE_MISC
-/* Return exp(X) - 1. */
-extern __CONSTVALUE double __expm1 __P ((double __x));
-extern __CONSTVALUE double expm1 __P ((double __x));
+/* 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 log(1 + X). */
-extern __CONSTVALUE double log1p __P ((double __x));
-#endif
+/* Return number of classification appropriate for X. */
+#define fpclassify(x) \
+ (sizeof (x) == sizeof (float) ? \
+ __finitef (x) \
+ : sizeof (x) == sizeof (double) ? \
+ __finite (x) : __finitel (x))
-/* Break VALUE into integral and fractional parts. */
-extern double modf __P ((double __value, double *__iptr));
+/* 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)
-/* Power functions. */
+/* Return nonzero value if X is neither zero, subnormal, Inf, nor NaN. */
+#define isnormal(x) (fpclassify (x) == FP_NORMAL)
-/* Return X to the Y power. */
-extern __CONSTVALUE double pow __P ((double __x, double __y));
+/* 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))
-/* Return the square root of X. */
-extern __CONSTVALUE double sqrt __P ((double __x));
-#ifdef __USE_MISC
-/* Return the cube root of X. */
-extern __CONSTVALUE double cbrt __P ((double __x));
-#endif
+/* 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));
-/* Nearest integer, absolute value, and remainder functions. */
+/* 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));
-/* Smallest integral value not less than X. */
-extern __CONSTVALUE double ceil __P ((double __x));
-/* Absolute value of X. */
-extern __CONSTVALUE double fabs __P ((double __x));
+/* Comparison macros. */
-/* Largest integer not greater than X. */
-extern __CONSTVALUE double floor __P ((double __x));
+/* Return nonzero value if X is greater than Y. */
+#define isgreater(x, y) (!isunordered ((x), (y)) && (x) > (y))
-/* Floating-point modulo remainder of X/Y. */
-extern __CONSTVALUE double fmod __P ((double __x, double __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 0 if VALUE is finite or NaN, +1 if it
- is +Infinity, -1 if it is -Infinity. */
-extern __CONSTVALUE int __isinf __P ((double __value));
+/* Return nonzero value if X is less than or equal to Y. */
+#define islessequal(x, y) (!isunordered ((x), (y)) && (x) <= (y))
-/* Return nonzero if VALUE is not a number. */
-extern __CONSTVALUE int __isnan __P ((double __value));
+/* 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 if VALUE is finite and not NaN. */
-extern __CONSTVALUE int __finite __P ((double __value));
-#ifdef __OPTIMIZE__
-#define __finite(value) (!__isinf(value))
-#endif
+/* Return nonzero value if arguments are unordered. */
+#define isunordered(x, y) \
+ (fpclassify (x) == FP_NAN || fpclassify (y) == FP_NAN)
-/* Deal with an infinite or NaN result.
- If ERROR is ERANGE, result is +Inf;
- if ERROR is - ERANGE, result is -Inf;
- otherwise result is NaN.
- This will set `errno' to either ERANGE or EDOM,
- and may return an infinity or NaN, or may do something else. */
-extern double __infnan __P ((int __error));
+#endif /* Use ISO C 9X. */
-/* Return X with its signed changed to Y's. */
-extern __CONSTVALUE double __copysign __P ((double __x, double __y));
+#ifdef __USE_MISC
+/* Support for various different standard error handling behaviors. */
-/* Return X times (2 to the Nth power). */
-extern __CONSTVALUE double __scalb __P ((double __x, int __n));
+typedef enum { _IEEE_ = -1, _SVID_, _XOPEN_, _POSIX_ } _LIB_VERSION_TYPE;
-#ifdef __OPTIMIZE__
-#define __scalb(x, n) ldexp ((x), (n))
+/* 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
+ to change the hardware FPU exception settings). */
+extern _LIB_VERSION_TYPE _LIB_VERSION;
#endif
-/* Return the remainder of X/Y. */
-extern __CONSTVALUE double __drem __P ((double __x, double __y));
-/* Return the base 2 signed integral exponent of X. */
-extern __CONSTVALUE double __logb __P ((double __x));
+#ifdef __USE_SVID
+/* In SVID error handling, `matherr' is called with this description
+ of the exceptional condition.
-#ifdef __USE_MISC
+ 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 arg1;
+ double arg2;
+ 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
+
+/* 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
+
+/* SVID mode specifies returning this large value instead of infinity. */
+#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 _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
-/* Return the integer nearest X in the direction of the
- prevailing rounding mode. */
-extern __CONSTVALUE double __rint __P ((double __x));
-extern __CONSTVALUE double rint __P ((double __x));
-
-/* Return `sqrt(X*X + Y*Y)'. */
-extern __CONSTVALUE double hypot __P ((double __x, double __y));
-
-struct __complex
-{
- double __x, __y;
-};
-
-/* Return `sqrt(X*X + Y*Y)'. */
-extern __CONSTVALUE double cabs __P ((struct __complex));
-
-extern __CONSTVALUE int isinf __P ((double __value));
-extern __CONSTVALUE int isnan __P ((double __value));
-extern __CONSTVALUE int finite __P ((double __value));
-extern __CONSTVALUE double infnan __P ((int __error));
-extern __CONSTVALUE double copysign __P ((double __x, double __y));
-extern __CONSTVALUE double scalb __P ((double __x, int __n));
-extern __CONSTVALUE double drem __P ((double __x, double __y));
-extern __CONSTVALUE double logb __P ((double __x));
-
-#ifdef __OPTIMIZE__
-#define isinf(value) __isinf(value)
-#define isnan(value) __isnan(value)
-#define infnan(error) __infnan(error)
-#define finite(value) __finite(value)
-#define copysign(x, y) __copysign((x), (y))
-#define scalb(x, n) __scalb((x), (n))
-#define drem(x, y) __drem((x), (y))
-#define logb(x) __logb(x)
-#endif /* Optimizing. */
-
-#endif /* Use misc. */
-
-
-#if 0
-/* The "Future Library Directions" section of the
- ANSI Standard reserves these as `float' and
- `long double' versions of the above functions. */
-
-extern __CONSTVALUE float acosf __P ((float __x));
-extern __CONSTVALUE float asinf __P ((float __x));
-extern __CONSTVALUE float atanf __P ((float __x));
-extern __CONSTVALUE float atan2f __P ((float __y, float __x));
-extern __CONSTVALUE float cosf __P ((float __x));
-extern __CONSTVALUE float sinf __P ((float __x));
-extern __CONSTVALUE float tanf __P ((float __x));
-extern __CONSTVALUE float coshf __P ((float __x));
-extern __CONSTVALUE float sinhf __P ((float __x));
-extern __CONSTVALUE float tanhf __P ((float __x));
-extern __CONSTVALUE float expf __P ((float __x));
-extern float frexpf __P ((float __value, int *__exp));
-extern __CONSTVALUE float ldexpf __P ((float __x, int __exp));
-extern __CONSTVALUE float logf __P ((float __x));
-extern __CONSTVALUE float log10f __P ((float __x));
-extern float modff __P ((float __value, float *__iptr));
-extern __CONSTVALUE float powf __P ((float __x, float __y));
-extern __CONSTVALUE float sqrtf __P ((float __x));
-extern __CONSTVALUE float ceilf __P ((float __x));
-extern __CONSTVALUE float fabsf __P ((float __x));
-extern __CONSTVALUE float floorf __P ((float __x));
-extern __CONSTVALUE float fmodf __P ((float __x, float __y));
-
-extern __CONSTVALUE __long_double_t acosl __P ((__long_double_t __x));
-extern __CONSTVALUE __long_double_t asinl __P ((__long_double_t __x));
-extern __CONSTVALUE __long_double_t atanl __P ((__long_double_t __x));
-extern __CONSTVALUE __long_double_t atan2l __P ((__long_double_t __y, __long_double_t __x));
-extern __CONSTVALUE __long_double_t cosl __P ((__long_double_t __x));
-extern __CONSTVALUE __long_double_t sinl __P ((__long_double_t __x));
-extern __CONSTVALUE __long_double_t tanl __P ((__long_double_t __x));
-extern __CONSTVALUE __long_double_t coshl __P ((__long_double_t __x));
-extern __CONSTVALUE __long_double_t sinhl __P ((__long_double_t __x));
-extern __CONSTVALUE __long_double_t tanhl __P ((__long_double_t __x));
-extern __CONSTVALUE __long_double_t expl __P ((__long_double_t __x));
-extern __long_double_t frexpl __P ((__long_double_t __value, int *__exp));
-extern __CONSTVALUE __long_double_t ldexpl __P ((__long_double_t __x, int __exp));
-extern __CONSTVALUE __long_double_t logl __P ((__long_double_t __x));
-extern __CONSTVALUE __long_double_t log10l __P ((__long_double_t __x));
-extern __long_double_t modfl __P ((__long_double_t __value, __long_double_t * __ip));
-extern __CONSTVALUE __long_double_t powl __P ((__long_double_t __x, __long_double_t __y));
-extern __CONSTVALUE __long_double_t sqrtl __P ((__long_double_t __x));
-extern __CONSTVALUE __long_double_t ceill __P ((__long_double_t __x));
-extern __CONSTVALUE __long_double_t fabsl __P ((__long_double_t __x));
-extern __CONSTVALUE __long_double_t floorl __P ((__long_double_t __x));
-extern __CONSTVALUE __long_double_t fmodl __P ((__long_double_t __x, __long_double_t __y));
-#endif /* 0 */
/* Get machine-dependent inline versions (if there are any). */
+#if (!defined __NO_MATH_INLINES && defined __OPTIMIZE__) \
+ || defined __LIBC_M81_MATH_INLINES
#include <__math.h>
+#endif
+
__END_DECLS
+
#endif /* math.h */