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616 lines
20 KiB
C
616 lines
20 KiB
C
#ifndef _MATH_H_
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#define _MATH_H_
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#include <sys/reent.h>
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#include <machine/ieeefp.h>
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#include "_ansi.h"
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_BEGIN_STD_C
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/* __dmath, __fmath, and __ldmath are only here for backwards compatibility
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* in case any code used them. They are no longer used by Newlib, itself,
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* other than legacy. */
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union __dmath
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{
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double d;
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__ULong i[2];
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};
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union __fmath
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{
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float f;
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__ULong i[1];
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};
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#if defined(_HAVE_LONG_DOUBLE)
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union __ldmath
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{
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long double ld;
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__ULong i[4];
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};
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#endif
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/* Natural log of 2 */
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#define _M_LN2 0.693147180559945309417
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#if __GNUC_PREREQ (3, 3)
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/* gcc >= 3.3 implicitly defines builtins for HUGE_VALx values. */
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# ifndef HUGE_VAL
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# define HUGE_VAL (__builtin_huge_val())
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# endif
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# ifndef HUGE_VALF
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# define HUGE_VALF (__builtin_huge_valf())
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# endif
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# ifndef HUGE_VALL
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# define HUGE_VALL (__builtin_huge_vall())
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# endif
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# ifndef INFINITY
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# define INFINITY (__builtin_inff())
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# endif
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# ifndef NAN
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# define NAN (__builtin_nanf(""))
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# endif
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#else /* !gcc >= 3.3 */
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/* No builtins. Use fixed defines instead. (All 3 HUGE plus the INFINITY
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* and NAN macros are required to be constant expressions. Using a variable--
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* even a static const--does not meet this requirement, as it cannot be
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* evaluated at translation time.)
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* The infinities are done using numbers that are far in excess of
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* something that would be expected to be encountered in a floating-point
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* implementation. (A more certain way uses values from float.h, but that is
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* avoided because system includes are not supposed to include each other.)
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* This method might produce warnings from some compilers. (It does in
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* newer GCCs, but not for ones that would hit this #else.) If this happens,
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* please report details to the Newlib mailing list. */
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#ifndef HUGE_VAL
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#define HUGE_VAL (1.0e999999999)
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#endif
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#ifndef HUGE_VALF
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#define HUGE_VALF (1.0e999999999F)
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#endif
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#if !defined(HUGE_VALL) && defined(_HAVE_LONG_DOUBLE)
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#define HUGE_VALL (1.0e999999999L)
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#endif
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#if !defined(INFINITY)
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#define INFINITY (HUGE_VALF)
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#endif
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#if !defined(NAN)
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#if defined(__GNUC__) && defined(__cplusplus)
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/* Exception: older g++ versions warn about the divide by 0 used in the
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* normal case (even though older gccs do not). This trick suppresses the
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* warning, but causes errors for plain gcc, so is only used in the one
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* special case. */
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static const union { __ULong __i[1]; float __d; } __Nanf = {0x7FC00000};
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#define NAN (__Nanf.__d)
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#else
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#define NAN (0.0F/0.0F)
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#endif
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#endif
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#endif /* !gcc >= 3.3 */
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/* Reentrant ANSI C functions. */
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#ifndef __math_68881
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extern double atan _PARAMS((double));
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extern double cos _PARAMS((double));
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extern double sin _PARAMS((double));
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extern double tan _PARAMS((double));
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extern double tanh _PARAMS((double));
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extern double frexp _PARAMS((double, int *));
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extern double modf _PARAMS((double, double *));
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extern double ceil _PARAMS((double));
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extern double fabs _PARAMS((double));
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extern double floor _PARAMS((double));
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#endif /* ! defined (__math_68881) */
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/* Non reentrant ANSI C functions. */
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#ifndef _REENT_ONLY
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#ifndef __math_68881
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extern double acos _PARAMS((double));
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extern double asin _PARAMS((double));
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extern double atan2 _PARAMS((double, double));
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extern double cosh _PARAMS((double));
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extern double sinh _PARAMS((double));
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extern double exp _PARAMS((double));
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extern double ldexp _PARAMS((double, int));
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extern double log _PARAMS((double));
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extern double log10 _PARAMS((double));
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extern double pow _PARAMS((double, double));
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extern double sqrt _PARAMS((double));
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extern double fmod _PARAMS((double, double));
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#endif /* ! defined (__math_68881) */
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#endif /* ! defined (_REENT_ONLY) */
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#if !defined(__STRICT_ANSI__) || defined(__cplusplus) || \
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(defined(__STDC_VERSION__) && __STDC_VERSION__ >= 199901L)
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/* ISO C99 types and macros. */
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/* FIXME: FLT_EVAL_METHOD should somehow be gotten from float.h (which is hard,
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* considering that the standard says the includes it defines should not
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* include other includes that it defines) and that value used. (This can be
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* solved, but autoconf has a bug which makes the solution more difficult, so
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* it has been skipped for now.) */
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#if !defined(FLT_EVAL_METHOD) && defined(__FLT_EVAL_METHOD__)
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#define FLT_EVAL_METHOD __FLT_EVAL_METHOD__
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#define __TMP_FLT_EVAL_METHOD
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#endif /* FLT_EVAL_METHOD */
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#if defined FLT_EVAL_METHOD
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#if FLT_EVAL_METHOD == 0
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typedef float float_t;
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typedef double double_t;
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#elif FLT_EVAL_METHOD == 1
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typedef double float_t;
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typedef double double_t;
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#elif FLT_EVAL_METHOD == 2
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typedef long double float_t;
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typedef long double double_t;
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#else
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/* Implementation-defined. Assume float_t and double_t have been
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* defined previously for this configuration (e.g. config.h). */
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#endif
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#else
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/* Assume basic definitions. */
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typedef float float_t;
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typedef double double_t;
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#endif
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#if defined(__TMP_FLT_EVAL_METHOD)
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#undef FLT_EVAL_METHOD
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#endif
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#define FP_NAN 0
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#define FP_INFINITE 1
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#define FP_ZERO 2
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#define FP_SUBNORMAL 3
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#define FP_NORMAL 4
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#ifndef FP_ILOGB0
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# define FP_ILOGB0 (-INT_MAX)
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#endif
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#ifndef FP_ILOGBNAN
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# define FP_ILOGBNAN INT_MAX
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#endif
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#ifndef MATH_ERRNO
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# define MATH_ERRNO 1
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#endif
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#ifndef MATH_ERREXCEPT
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# define MATH_ERREXCEPT 2
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#endif
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#ifndef math_errhandling
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# define math_errhandling MATH_ERRNO
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#endif
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extern int __isinff (float x);
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extern int __isinfd (double x);
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extern int __isnanf (float x);
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extern int __isnand (double x);
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extern int __fpclassifyf (float x);
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extern int __fpclassifyd (double x);
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extern int __signbitf (float x);
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extern int __signbitd (double x);
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#define fpclassify(__x) \
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((sizeof(__x) == sizeof(float)) ? __fpclassifyf(__x) : \
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__fpclassifyd(__x))
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#ifndef isfinite
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#define isfinite(__y) \
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(__extension__ ({int __cy = fpclassify(__y); \
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__cy != FP_INFINITE && __cy != FP_NAN;}))
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#endif
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/* Note: isinf and isnan were once functions in newlib that took double
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* arguments. C99 specifies that these names are reserved for macros
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* supporting multiple floating point types. Thus, they are
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* now defined as macros. Implementations of the old functions
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* taking double arguments still exist for compatibility purposes
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* (prototypes for them are in <ieeefp.h>). */
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#ifndef isinf
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#define isinf(y) (fpclassify(y) == FP_INFINITE)
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#endif
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#ifndef isnan
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#define isnan(y) (fpclassify(y) == FP_NAN)
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#endif
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#define isnormal(y) (fpclassify(y) == FP_NORMAL)
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#define signbit(__x) \
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((sizeof(__x) == sizeof(float)) ? __signbitf(__x) : \
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__signbitd(__x))
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#define isgreater(x,y) \
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(__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \
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!isunordered(__x,__y) && (__x > __y);}))
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#define isgreaterequal(x,y) \
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(__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \
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!isunordered(__x,__y) && (__x >= __y);}))
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#define isless(x,y) \
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(__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \
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!isunordered(__x,__y) && (__x < __y);}))
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#define islessequal(x,y) \
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(__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \
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!isunordered(__x,__y) && (__x <= __y);}))
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#define islessgreater(x,y) \
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(__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \
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!isunordered(__x,__y) && (__x < __y || __x > __y);}))
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#define isunordered(a,b) \
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(__extension__ ({__typeof__(a) __a = (a); __typeof__(b) __b = (b); \
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fpclassify(__a) == FP_NAN || fpclassify(__b) == FP_NAN;}))
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/* Non ANSI double precision functions. */
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extern double infinity _PARAMS((void));
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extern double nan _PARAMS((const char *));
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extern int finite _PARAMS((double));
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extern double copysign _PARAMS((double, double));
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extern double logb _PARAMS((double));
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extern int ilogb _PARAMS((double));
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extern double asinh _PARAMS((double));
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extern double cbrt _PARAMS((double));
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extern double nextafter _PARAMS((double, double));
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extern double rint _PARAMS((double));
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extern double scalbn _PARAMS((double, int));
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extern double exp2 _PARAMS((double));
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extern double scalbln _PARAMS((double, long int));
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extern double tgamma _PARAMS((double));
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extern double nearbyint _PARAMS((double));
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extern long int lrint _PARAMS((double));
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extern long long int llrint _PARAMS((double));
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extern double round _PARAMS((double));
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extern long int lround _PARAMS((double));
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extern long long int llround _PARAMS((double));
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extern double trunc _PARAMS((double));
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extern double remquo _PARAMS((double, double, int *));
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extern double fdim _PARAMS((double, double));
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extern double fmax _PARAMS((double, double));
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extern double fmin _PARAMS((double, double));
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extern double fma _PARAMS((double, double, double));
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#ifndef __math_68881
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extern double log1p _PARAMS((double));
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extern double expm1 _PARAMS((double));
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#endif /* ! defined (__math_68881) */
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#ifndef _REENT_ONLY
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extern double acosh _PARAMS((double));
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extern double atanh _PARAMS((double));
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extern double remainder _PARAMS((double, double));
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extern double gamma _PARAMS((double));
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extern double lgamma _PARAMS((double));
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extern double erf _PARAMS((double));
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extern double erfc _PARAMS((double));
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extern double log2 _PARAMS((double));
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#if !defined(__cplusplus)
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#define log2(x) (log (x) / _M_LN2)
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#endif
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#ifndef __math_68881
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extern double hypot _PARAMS((double, double));
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#endif
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#endif /* ! defined (_REENT_ONLY) */
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/* Single precision versions of ANSI functions. */
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extern float atanf _PARAMS((float));
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extern float cosf _PARAMS((float));
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extern float sinf _PARAMS((float));
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extern float tanf _PARAMS((float));
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extern float tanhf _PARAMS((float));
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extern float frexpf _PARAMS((float, int *));
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extern float modff _PARAMS((float, float *));
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extern float ceilf _PARAMS((float));
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extern float fabsf _PARAMS((float));
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extern float floorf _PARAMS((float));
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#ifndef _REENT_ONLY
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extern float acosf _PARAMS((float));
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extern float asinf _PARAMS((float));
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extern float atan2f _PARAMS((float, float));
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extern float coshf _PARAMS((float));
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extern float sinhf _PARAMS((float));
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extern float expf _PARAMS((float));
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extern float ldexpf _PARAMS((float, int));
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extern float logf _PARAMS((float));
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extern float log10f _PARAMS((float));
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extern float powf _PARAMS((float, float));
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extern float sqrtf _PARAMS((float));
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extern float fmodf _PARAMS((float, float));
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#endif /* ! defined (_REENT_ONLY) */
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/* Other single precision functions. */
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extern float exp2f _PARAMS((float));
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extern float scalblnf _PARAMS((float, long int));
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extern float tgammaf _PARAMS((float));
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extern float nearbyintf _PARAMS((float));
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extern long int lrintf _PARAMS((float));
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extern long long int llrintf _PARAMS((float));
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extern float roundf _PARAMS((float));
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extern long int lroundf _PARAMS((float));
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extern long long int llroundf _PARAMS((float));
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extern float truncf _PARAMS((float));
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extern float remquof _PARAMS((float, float, int *));
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extern float fdimf _PARAMS((float, float));
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extern float fmaxf _PARAMS((float, float));
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extern float fminf _PARAMS((float, float));
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extern float fmaf _PARAMS((float, float, float));
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extern float infinityf _PARAMS((void));
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extern float nanf _PARAMS((const char *));
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extern int finitef _PARAMS((float));
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extern float copysignf _PARAMS((float, float));
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extern float logbf _PARAMS((float));
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extern int ilogbf _PARAMS((float));
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extern float asinhf _PARAMS((float));
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extern float cbrtf _PARAMS((float));
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extern float nextafterf _PARAMS((float, float));
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extern float rintf _PARAMS((float));
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extern float scalbnf _PARAMS((float, int));
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extern float log1pf _PARAMS((float));
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extern float expm1f _PARAMS((float));
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#ifndef _REENT_ONLY
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extern float acoshf _PARAMS((float));
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extern float atanhf _PARAMS((float));
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extern float remainderf _PARAMS((float, float));
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extern float gammaf _PARAMS((float));
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extern float lgammaf _PARAMS((float));
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extern float erff _PARAMS((float));
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extern float erfcf _PARAMS((float));
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extern float log2f _PARAMS((float));
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extern float hypotf _PARAMS((float, float));
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#endif /* ! defined (_REENT_ONLY) */
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/* On platforms where long double equals double. */
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#ifdef _LDBL_EQ_DBL
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/* Reentrant ANSI C functions. */
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#ifndef __math_68881
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extern long double atanl _PARAMS((long double));
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extern long double cosl _PARAMS((long double));
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extern long double sinl _PARAMS((long double));
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extern long double tanl _PARAMS((long double));
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extern long double tanhl _PARAMS((long double));
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extern long double frexpl _PARAMS((long double, int *));
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extern long double modfl _PARAMS((long double, long double *));
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extern long double ceill _PARAMS((long double));
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extern long double fabsl _PARAMS((long double));
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extern long double floorl _PARAMS((long double));
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extern long double log1pl _PARAMS((long double));
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extern long double expm1l _PARAMS((long double));
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#endif /* ! defined (__math_68881) */
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/* Non reentrant ANSI C functions. */
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#ifndef _REENT_ONLY
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#ifndef __math_68881
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extern long double acosl _PARAMS((long double));
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extern long double asinl _PARAMS((long double));
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extern long double atan2l _PARAMS((long double, long double));
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extern long double coshl _PARAMS((long double));
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extern long double sinhl _PARAMS((long double));
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extern long double expl _PARAMS((long double));
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extern long double ldexpl _PARAMS((long double, int));
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extern long double logl _PARAMS((long double));
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extern long double log10l _PARAMS((long double));
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extern long double powl _PARAMS((long double, long double));
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extern long double sqrtl _PARAMS((long double));
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extern long double fmodl _PARAMS((long double, long double));
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extern long double hypotl _PARAMS((long double, long double));
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#endif /* ! defined (__math_68881) */
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#endif /* ! defined (_REENT_ONLY) */
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extern long double copysignl _PARAMS((long double, long double));
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extern long double nanl _PARAMS((const char *));
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extern int ilogbl _PARAMS((long double));
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extern long double asinhl _PARAMS((long double));
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extern long double cbrtl _PARAMS((long double));
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extern long double nextafterl _PARAMS((long double, long double));
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extern float nexttowardf _PARAMS((float, long double));
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extern double nexttoward _PARAMS((double, long double));
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extern long double nexttowardl _PARAMS((long double, long double));
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extern long double logbl _PARAMS((long double));
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extern long double log2l _PARAMS((long double));
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extern long double rintl _PARAMS((long double));
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extern long double scalbnl _PARAMS((long double, int));
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extern long double exp2l _PARAMS((long double));
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extern long double scalblnl _PARAMS((long double, long));
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extern long double tgammal _PARAMS((long double));
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extern long double nearbyintl _PARAMS((long double));
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extern long int lrintl _PARAMS((long double));
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extern long long int llrintl _PARAMS((long double));
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extern long double roundl _PARAMS((long double));
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extern long lroundl _PARAMS((long double));
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extern long long int llroundl _PARAMS((long double));
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extern long double truncl _PARAMS((long double));
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extern long double remquol _PARAMS((long double, long double, int *));
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extern long double fdiml _PARAMS((long double, long double));
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extern long double fmaxl _PARAMS((long double, long double));
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extern long double fminl _PARAMS((long double, long double));
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extern long double fmal _PARAMS((long double, long double, long double));
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#ifndef _REENT_ONLY
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extern long double acoshl _PARAMS((long double));
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extern long double atanhl _PARAMS((long double));
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extern long double remainderl _PARAMS((long double, long double));
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extern long double lgammal _PARAMS((long double));
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extern long double erfl _PARAMS((long double));
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extern long double erfcl _PARAMS((long double));
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#endif /* ! defined (_REENT_ONLY) */
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#else /* !_LDBL_EQ_DBL */
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#ifdef __i386__
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/* Other long double precision functions. */
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extern _LONG_DOUBLE rintl _PARAMS((_LONG_DOUBLE));
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extern long int lrintl _PARAMS((_LONG_DOUBLE));
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extern long long int llrintl _PARAMS((_LONG_DOUBLE));
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#endif /* __i386__ */
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#endif /* !_LDBL_EQ_DBL */
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|
#endif /* !defined (__STRICT_ANSI__) || defined(__cplusplus) || (defined(__STDC_VERSION__) && __STDC_VERSION__ >= 199901L) */
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|
|
|
#if !defined (__STRICT_ANSI__) || defined(__cplusplus)
|
|
|
|
extern double drem _PARAMS((double, double));
|
|
extern void sincos _PARAMS((double, double *, double *));
|
|
extern double gamma_r _PARAMS((double, int *));
|
|
extern double lgamma_r _PARAMS((double, int *));
|
|
|
|
extern double y0 _PARAMS((double));
|
|
extern double y1 _PARAMS((double));
|
|
extern double yn _PARAMS((int, double));
|
|
extern double j0 _PARAMS((double));
|
|
extern double j1 _PARAMS((double));
|
|
extern double jn _PARAMS((int, double));
|
|
|
|
extern float dremf _PARAMS((float, float));
|
|
extern void sincosf _PARAMS((float, float *, float *));
|
|
extern float gammaf_r _PARAMS((float, int *));
|
|
extern float lgammaf_r _PARAMS((float, int *));
|
|
|
|
extern float y0f _PARAMS((float));
|
|
extern float y1f _PARAMS((float));
|
|
extern float ynf _PARAMS((int, float));
|
|
extern float j0f _PARAMS((float));
|
|
extern float j1f _PARAMS((float));
|
|
extern float jnf _PARAMS((int, float));
|
|
|
|
/* GNU extensions */
|
|
# ifndef exp10
|
|
extern double exp10 _PARAMS((double));
|
|
# endif
|
|
# ifndef pow10
|
|
extern double pow10 _PARAMS((double));
|
|
# endif
|
|
# ifndef exp10f
|
|
extern float exp10f _PARAMS((float));
|
|
# endif
|
|
# ifndef pow10f
|
|
extern float pow10f _PARAMS((float));
|
|
# endif
|
|
|
|
#endif /* !defined (__STRICT_ANSI__) || defined(__cplusplus) */
|
|
|
|
#ifndef __STRICT_ANSI__
|
|
|
|
/* The gamma functions use a global variable, signgam. */
|
|
#ifndef _REENT_ONLY
|
|
#define signgam (*__signgam())
|
|
extern int *__signgam _PARAMS((void));
|
|
#endif /* ! defined (_REENT_ONLY) */
|
|
|
|
#define __signgam_r(ptr) _REENT_SIGNGAM(ptr)
|
|
|
|
/* The exception structure passed to the matherr routine. */
|
|
/* We have a problem when using C++ since `exception' is a reserved
|
|
name in C++. */
|
|
#ifdef __cplusplus
|
|
struct __exception
|
|
#else
|
|
struct exception
|
|
#endif
|
|
{
|
|
int type;
|
|
char *name;
|
|
double arg1;
|
|
double arg2;
|
|
double retval;
|
|
int err;
|
|
};
|
|
|
|
#ifdef __cplusplus
|
|
extern int matherr _PARAMS((struct __exception *e));
|
|
#else
|
|
extern int matherr _PARAMS((struct exception *e));
|
|
#endif
|
|
|
|
/* Values for the type field of struct exception. */
|
|
|
|
#define DOMAIN 1
|
|
#define SING 2
|
|
#define OVERFLOW 3
|
|
#define UNDERFLOW 4
|
|
#define TLOSS 5
|
|
#define PLOSS 6
|
|
|
|
#endif /* ! defined (__STRICT_ANSI__) */
|
|
|
|
/* Useful constants. */
|
|
|
|
#if !defined(__STRICT_ANSI__) || ((_XOPEN_SOURCE - 0) >= 500)
|
|
|
|
#define MAXFLOAT 3.40282347e+38F
|
|
|
|
#define M_E 2.7182818284590452354
|
|
#define M_LOG2E 1.4426950408889634074
|
|
#define M_LOG10E 0.43429448190325182765
|
|
#define M_LN2 _M_LN2
|
|
#define M_LN10 2.30258509299404568402
|
|
#define M_PI 3.14159265358979323846
|
|
#define M_PI_2 1.57079632679489661923
|
|
#define M_PI_4 0.78539816339744830962
|
|
#define M_1_PI 0.31830988618379067154
|
|
#define M_2_PI 0.63661977236758134308
|
|
#define M_2_SQRTPI 1.12837916709551257390
|
|
#define M_SQRT2 1.41421356237309504880
|
|
#define M_SQRT1_2 0.70710678118654752440
|
|
|
|
#endif
|
|
|
|
#ifndef __STRICT_ANSI__
|
|
|
|
#define M_TWOPI (M_PI * 2.0)
|
|
#define M_3PI_4 2.3561944901923448370E0
|
|
#define M_SQRTPI 1.77245385090551602792981
|
|
#define M_LN2LO 1.9082149292705877000E-10
|
|
#define M_LN2HI 6.9314718036912381649E-1
|
|
#define M_SQRT3 1.73205080756887719000
|
|
#define M_IVLN10 0.43429448190325182765 /* 1 / log(10) */
|
|
#define M_LOG2_E _M_LN2
|
|
#define M_INVLN2 1.4426950408889633870E0 /* 1 / log(2) */
|
|
|
|
/* Global control over fdlibm error handling. */
|
|
|
|
enum __fdlibm_version
|
|
{
|
|
__fdlibm_ieee = -1,
|
|
__fdlibm_svid,
|
|
__fdlibm_xopen,
|
|
__fdlibm_posix
|
|
};
|
|
|
|
#define _LIB_VERSION_TYPE enum __fdlibm_version
|
|
#define _LIB_VERSION __fdlib_version
|
|
|
|
extern __IMPORT _LIB_VERSION_TYPE _LIB_VERSION;
|
|
|
|
#define _IEEE_ __fdlibm_ieee
|
|
#define _SVID_ __fdlibm_svid
|
|
#define _XOPEN_ __fdlibm_xopen
|
|
#define _POSIX_ __fdlibm_posix
|
|
|
|
#endif /* ! defined (__STRICT_ANSI__) */
|
|
|
|
_END_STD_C
|
|
|
|
#ifdef __FAST_MATH__
|
|
#include <machine/fastmath.h>
|
|
#endif
|
|
|
|
#endif /* _MATH_H_ */
|