/*
File: fp.h
Contains: FPCE Floating-Point Definitions and Declarations.
Version: QuickTime 7.3
Copyright: (c) 2007 (c) 1987-2001 by Apple Computer, Inc., all rights reserved.
Bugs?: For bug reports, consult the following page on
the World Wide Web:
http://developer.apple.com/bugreporter/
*/
#ifndef __FP__
#define __FP__
#ifndef __CONDITIONALMACROS__
#include <ConditionalMacros.h>
#endif
#ifndef __MACTYPES__
#include <MacTypes.h>
#endif
/********************************************************************************
* *
* A collection of numerical functions designed to facilitate a wide *
* range of numerical programming as required by C9X. *
* *
* The <fp.h> declares many functions in support of numerical programming. *
* It provides a superset of <math.h> and <SANE.h> functions. Some *
* functionality previously found in <SANE.h> and not in the FPCE <fp.h> *
* can be found in this <fp.h> under the heading "__NOEXTENSIONS__". *
* *
* All of these functions are IEEE 754 aware and treat exceptions, NaNs, *
* positive and negative zero and infinity consistent with the floating- *
* point standard. *
* *
********************************************************************************/
#if PRAGMA_ONCE
#pragma once
#endif
#ifdef __cplusplus
extern "C" {
#endif
#if PRAGMA_IMPORT
#pragma import on
#endif
#if PRAGMA_STRUCT_ALIGN
#pragma options align=mac68k
#elif PRAGMA_STRUCT_PACKPUSH
#pragma pack(push, 2)
#elif PRAGMA_STRUCT_PACK
#pragma pack(2)
#endif
/********************************************************************************
* *
* Efficient types *
* *
* float_t Most efficient type at least as wide as float *
* double_t Most efficient type at least as wide as double *
* *
* CPU float_t(bits) double_t(bits) *
* -------- ----------------- ----------------- *
* PowerPC float(32) double(64) *
* 68K long double(80/96) long double(80/96) *
* x86 double(64) double(64) *
* *
********************************************************************************/
#if (defined(__MWERKS__) && defined(__cmath__)) || (TARGET_RT_MAC_MACHO && defined(__MATH__))
/* these types were already defined in math.h */
#else
#if TARGET_CPU_PPC
typedef float float_t;
typedef double double_t;
#elif TARGET_CPU_68K
typedef long double float_t;
typedef long double double_t;
#elif TARGET_CPU_X86
//typedef double float_t;
typedef double double_t;
#elif TARGET_CPU_MIPS
typedef double float_t;
typedef double double_t;
#elif TARGET_CPU_ALPHA
typedef double float_t;
typedef double double_t;
#elif TARGET_CPU_SPARC
typedef double float_t;
typedef double double_t;
#else
#error unsupported CPU
#endif /* */
/********************************************************************************
* *
* Define some constants. *
* *
* HUGE_VAL IEEE 754 value of infinity. *
* INFINITY IEEE 754 value of infinity. *
* NAN A generic NaN (Not A Number). *
* DECIMAL_DIG Satisfies the constraint that the conversion from *
* double to decimal and back is the identity function. *
* *
********************************************************************************/
#if TARGET_OS_MAC
#if !TARGET_RT_MAC_MACHO
#define HUGE_VAL __inf()
#define INFINITY __inf()
#define NAN nan("255")
#endif
#else
//#define NAN sqrt(-1)
#endif
#if TARGET_CPU_PPC
#define DECIMAL_DIG 17 /* does not exist for double-double */
#elif TARGET_CPU_68K
#define DECIMAL_DIG 21
#endif
#endif /* (defined(__MWERKS__) && defined(__cmath__)) || (TARGET_RT_MAC_MACHO && defined(__MATH__)) */
#if TARGET_OS_MAC
/* MSL or math.h already defines these */
#if (!defined(__MWERKS__) || !defined(__cmath__)) && (!TARGET_RT_MAC_MACHO || !defined(__MATH__))
/********************************************************************************
* *
* Trigonometric functions *
* *
* acos result is in [0,pi]. *
* asin result is in [-pi/2,pi/2]. *
* atan result is in [-pi/2,pi/2]. *
* atan2 Computes the arc tangent of y/x in [-pi,pi] using the sign of *
* both arguments to determine the quadrant of the computed value. *
* *
********************************************************************************/
/*
* cos()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) cos(double_t x);
/*
* sin()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) sin(double_t x);
/*
* tan()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) tan(double_t x);
/*
* acos()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) acos(double_t x);
/*
* asin()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) asin(double_t x);
/*
* atan()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) atan(double_t x);
/*
* atan2()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) atan2(double_t y, double_t x);
/********************************************************************************
* *
* Hyperbolic functions *
* *
********************************************************************************/
/*
* cosh()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) cosh(double_t x);
/*
* sinh()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) sinh(double_t x);
/*
* tanh()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) tanh(double_t x);
/*
* acosh()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) acosh(double_t x);
/*
* asinh()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) asinh(double_t x);
/*
* atanh()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) atanh(double_t x);
/********************************************************************************
* *
* Exponential functions *
* *
* expm1 expm1(x) = exp(x) - 1. But, for small enough arguments, *
* expm1(x) is expected to be more accurate than exp(x) - 1. *
* frexp Breaks a floating-point number into a normalized fraction *
* and an integral power of 2. It stores the integer in the *
* object pointed by *exponent. *
* ldexp Multiplies a floating-point number by an integer power of 2. *
* log1p log1p = log(1 + x). But, for small enough arguments, *
* log1p is expected to be more accurate than log(1 + x). *
* logb Extracts the exponent of its argument, as a signed integral *
* value. A subnormal argument is treated as though it were first *
* normalized. Thus: *
* 1 <= x * 2^(-logb(x)) < 2 *
* modf Returns fractional part of x as function result and returns *
* integral part of x via iptr. Note C9X uses double not double_t. *
* scalb Computes x * 2^n efficently. This is not normally done by *
* computing 2^n explicitly. *
* *
********************************************************************************/
/*
* exp()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) exp(double_t x);
/*
* expm1()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) expm1(double_t x);
/*
* exp2()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) exp2(double_t x);
/*
* frexp()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) frexp(double_t x, int *exponent);
/*
* ldexp()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) ldexp(double_t x, int n);
/*
* log()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) log(double_t x);
/*
* log2()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) log2(double_t x);
/*
* log1p()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) log1p(double_t x);
/*
* log10()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) log10(double_t x);
/*
* logb()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) logb(double_t x);
#if !TYPE_LONGDOUBLE_IS_DOUBLE
/*
* modfl()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) modfl(long double x, long double *iptrl);
#endif /* !TYPE_LONGDOUBLE_IS_DOUBLE */
/*
* modf()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) modf(double_t x, double_t *iptr);
/*
* modff()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( float ) modff(float x, float *iptrf);
/*
Note: For compatiblity scalb(x,n) has n of type
int on Mac OS X
long on Mac OS
*/
typedef long _scalb_n_type;
/*
* scalb()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) scalb(double_t x, _scalb_n_type n);
/********************************************************************************
* *
* Power and absolute value functions *
* *
* hypot Computes the square root of the sum of the squares of its *
* arguments, without undue overflow or underflow. *
* pow Returns x raised to the power of y. Result is more accurate *
* than using exp(log(x)*y). *
* *
********************************************************************************/
/*
* fabs()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) fabs(double_t x);
/*
* hypot()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) hypot(double_t x, double_t y);
/*
* pow()
*
* Availability:
* Non-Carbon CFM: in MathLib 2.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) pow(double_t x, double_t y);
/*
* sqrt()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) sqrt(double_t x);
/********************************************************************************
* *
* Gamma and Error functions *
* *
* erf The error function. *
* erfc Complementary error function. *
* gamma The gamma function. *
* lgamma Computes the base-e logarithm of the absolute value of *
* gamma of its argument x, for x > 0. *
* *
********************************************************************************/
/*
* erf()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) erf(double_t x);
/*
* erfc()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) erfc(double_t x);
/*
* gamma()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) gamma(double_t x);
/*
* lgamma()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) lgamma(double_t x);
/********************************************************************************
* *
* Nearest integer functions *
* *
* rint Rounds its argument to an integral value in floating point *
* format, honoring the current rounding direction. *
* *
* nearbyint Differs from rint only in that it does not raise the inexact *
* exception. It is the nearbyint function recommended by the *
* IEEE floating-point standard 854. *
* *
* rinttol Rounds its argument to the nearest long int using the current *
* rounding direction. NOTE: if the rounded value is outside *
* the range of long int, then the result is undefined. *
* *
* round Rounds the argument to the nearest integral value in floating *
* point format similar to the Fortran "anint" function. That is: *
* add half to the magnitude and chop. *
* *
* roundtol Similar to the Fortran function nint or to the Pascal round. *
* NOTE: if the rounded value is outside the range of long int, *
* then the result is undefined. *
* *
* trunc Computes the integral value, in floating format, nearest to *
* but no larger in magnitude than its argument. NOTE: on 68K *
* compilers when using -elems881, trunc must return an int *
* *
********************************************************************************/
/*
* ceil()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) ceil(double_t x);
/*
* floor()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) floor(double_t x);
/*
* rint()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) rint(double_t x);
/*
* nearbyint()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) nearbyint(double_t x);
/*
* rinttol()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( long ) rinttol(double_t x);
/*
* round()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) round(double_t x);
/*
* roundtol()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( long ) roundtol(double_t round);
/*
Note: For compatiblity trunc(x) has a return type of
int for classic 68K with FPU enabled
double_t everywhere else
*/
#if TARGET_RT_MAC_68881
typedef int _trunc_return_type;
#else
typedef double_t _trunc_return_type;
#endif /* TARGET_RT_MAC_68881 */
/*
* trunc()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( _trunc_return_type ) trunc(double_t x);
/********************************************************************************
* *
* Remainder functions *
* *
* remainder IEEE 754 floating point standard for remainder. *
* remquo SANE remainder. It stores into 'quotient' the 7 low-order *
* bits of the integer quotient x/y, such that: *
* -127 <= quotient <= 127. *
* *
********************************************************************************/
/*
* fmod()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) fmod(double_t x, double_t y);
/*
* remainder()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) remainder(double_t x, double_t y);
/*
* remquo()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) remquo(double_t x, double_t y, int *quo);
/********************************************************************************
* *
* Auxiliary functions *
* *
* copysign Produces a value with the magnitude of its first argument *
* and sign of its second argument. NOTE: the order of the *
* arguments matches the recommendation of the IEEE 754 *
* floating point standard, which is opposite from the SANE *
* copysign function. *
* *
* nan The call 'nan("n-char-sequence")' returns a quiet NaN *
* with content indicated through tagp in the selected *
* data type format. *
* *
* nextafter Computes the next representable value after 'x' in the *
* direction of 'y'. if x == y, then y is returned. *
* *
********************************************************************************/
/*
* copysign()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) copysign(double_t x, double_t y);
/*
* nan()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double ) nan(const char * tagp);
/*
* nanf()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( float ) nanf(const char * tagp);
/*
* nanl()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) nanl(const char * tagp);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) nanl(const char *tagp) { return (long double) nan(tagp); }
#else
#define nanl(tagp) ((long double) nan(tagp))
#endif
#endif
/*
* nextafterd()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double ) nextafterd(double x, double y);
/*
* nextafterf()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( float ) nextafterf(float x, float y);
/*
* nextafterl()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) nextafterl(long double x, long double y);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) nextafterl(long double x, long double y) { return (long double) nextafterd((double)(x),(double)(y)); }
#else
#define nextafterl(x, y) ((long double) nextafterd((double)(x),(double)(y)))
#endif
#endif
/*
* __fpclassifyd()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( long ) __fpclassifyd(double x);
/*
* __fpclassifyf()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( long ) __fpclassifyf(float x);
/*
* __fpclassify()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long ) __fpclassify(long double x);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long ) __fpclassify(long double x) { return __fpclassifyd((double)(x)); }
#else
#define __fpclassify(x) (__fpclassifyd((double)(x)))
#endif
#endif
/*
* __isnormald()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( long ) __isnormald(double x);
/*
* __isnormalf()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( long ) __isnormalf(float x);
/*
* __isnormal()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long ) __isnormal(long double x);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long ) __isnormal(long double x) { return __isnormald((double)(x)); }
#else
#define __isnormal(x) (__isnormald((double)(x)))
#endif
#endif
/*
* __isfinited()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( long ) __isfinited(double x);
/*
* __isfinitef()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( long ) __isfinitef(float x);
/*
* __isfinite()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long ) __isfinite(long double x);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long ) __isfinite(long double x) { return __isfinited((double)(x)); }
#else
#define __isfinite(x) (__isfinited((double)(x)))
#endif
#endif
/*
* __isnand()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( long ) __isnand(double x);
/*
* __isnanf()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( long ) __isnanf(float x);
/*
* __isnan()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long ) __isnan(long double x);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long ) __isnan(long double x) { return __isnand((double)(x)); }
#else
#define __isnan(x) (__isnand((double)(x)))
#endif
#endif
/*
* __signbitd()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( long ) __signbitd(double x);
/*
* __signbitf()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( long ) __signbitf(float x);
/*
* __signbit()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long ) __signbit(long double x);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long ) __signbit(long double x) { return __signbitd((double)(x)); }
#else
#define __signbit(x) (__signbitd((double)(x)))
#endif
#endif
/*
* __inf()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) __inf(void);
/********************************************************************************
* *
* Inquiry macros *
* *
* fpclassify Returns one of the FP_* values. *
* isnormal Non-zero if and only if the argument x is normalized. *
* isfinite Non-zero if and only if the argument x is finite. *
* isnan Non-zero if and only if the argument x is a NaN. *
* signbit Non-zero if and only if the sign of the argument x is *
* negative. This includes, NaNs, infinities and zeros. *
* *
********************************************************************************/
enum {
FP_SNAN = 0, /* signaling NaN */
FP_QNAN = 1, /* quiet NaN */
FP_INFINITE = 2, /* + or - infinity */
FP_ZERO = 3, /* + or - zero */
FP_NORMAL = 4, /* all normal numbers */
FP_SUBNORMAL = 5 /* denormal numbers */
};
#define fpclassify(x) ( ( sizeof ( x ) == sizeof(double) ) ? \
__fpclassifyd ( x ) : \
( sizeof ( x ) == sizeof(float) ) ? \
__fpclassifyf ( x ) : \
__fpclassify ( x ) )
#define isnormal(x) ( ( sizeof ( x ) == sizeof(double) ) ? \
__isnormald ( x ) : \
( sizeof ( x ) == sizeof(float) ) ? \
__isnormalf ( x ) : \
__isnormal ( x ) )
#define isfinite(x) ( ( sizeof ( x ) == sizeof(double) ) ? \
__isfinited ( x ) : \
( sizeof ( x ) == sizeof(float) ) ? \
__isfinitef ( x ) : \
__isfinite ( x ) )
#define isnan(x) ( ( sizeof ( x ) == sizeof(double) ) ? \
__isnand ( x ) : \
( sizeof ( x ) == sizeof(float) ) ? \
__isnanf ( x ) : \
__isnan ( x ) )
#define signbit(x) ( ( sizeof ( x ) == sizeof(double) ) ? \
__signbitd ( x ) : \
( sizeof ( x ) == sizeof(float) ) ? \
__signbitf ( x ) : \
__signbit ( x ) )
/********************************************************************************
* *
* Max, Min and Positive Difference *
* *
* fdim Determines the 'positive difference' between its arguments: *
* { x - y, if x > y }, { +0, if x <= y }. If one argument is *
* NaN, then fdim returns that NaN. if both arguments are NaNs, *
* then fdim returns the first argument. *
* *
* fmax Returns the maximum of the two arguments. Corresponds to the *
* max function in FORTRAN. NaN arguments are treated as missing *
* data. If one argument is NaN and the other is a number, then *
* the number is returned. If both are NaNs then the first *
* argument is returned. *
* *
* fmin Returns the minimum of the two arguments. Corresponds to the *
* min function in FORTRAN. NaN arguments are treated as missing *
* data. If one argument is NaN and the other is a number, then *
* the number is returned. If both are NaNs then the first *
* argument is returned. *
* *
********************************************************************************/
/*
* fdim()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) fdim(double_t x, double_t y);
/*
* fmax()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) fmax(double_t x, double_t y);
/*
* fmin()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) fmin(double_t x, double_t y);
#endif /* (defined(__MWERKS__) && defined(__cmath__)) || (TARGET_RT_MAC_MACHO && defined(__MATH__)) */
/*******************************************************************************
* Constants *
*******************************************************************************/
/*
* pi
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
extern const double_t pi;
/********************************************************************************
* *
* Non NCEG extensions *
* *
********************************************************************************/
#ifndef __NOEXTENSIONS__
/********************************************************************************
* *
* Financial functions *
* *
* compound Computes the compound interest factor "(1 + rate)^periods" *
* more accurately than the straightforward computation with *
* the Power function. This is SANE's compound function. *
* *
* annuity Computes the present value factor for an annuity *
* "(1 - (1 + rate)^(-periods)) /rate" more accurately than *
* the straightforward computation with the Power function. *
* This is SANE's annuity function. *
* *
********************************************************************************/
/*
* compound()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) compound(double_t rate, double_t periods);
/*
* annuity()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) annuity(double_t rate, double_t periods);
/********************************************************************************
* *
* Random function *
* *
* randomx A pseudorandom number generator. It uses the iteration: *
* (7^5*x)mod(2^31-1) *
* *
********************************************************************************/
/*
* randomx()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) randomx(double_t * x);
/*******************************************************************************
* Relational operator *
*******************************************************************************/
/* relational operator */
typedef short relop;
enum {
GREATERTHAN = 0,
LESSTHAN = 1,
EQUALTO = 2,
UNORDERED = 3
};
#if !defined(__MWERKS__) || !defined(__cmath__)
/*
* relation()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( relop ) relation(double_t x, double_t y);
#endif /* !defined(__MWERKS__) || !defined(__cmath__) */
/********************************************************************************
* *
* Binary to decimal conversions *
* *
* SIGDIGLEN Significant decimal digits. *
* *
* decimal A record which provides an intermediate unpacked form for *
* programmers who wish to do their own parsing of numeric input *
* or formatting of numeric output. *
* *
* decform Controls each conversion to a decimal string. The style field *
* is either FLOATDECIMAL or FIXEDDECIMAL. If FLOATDECIMAL, the *
* value of the field digits is the number of significant digits. *
* If FIXEDDECIMAL value of the field digits is the number of *
* digits to the right of the decimal point. *
* *
* num2dec Converts a double_t to a decimal record using a decform. *
* dec2num Converts a decimal record d to a double_t value. *
* dec2str Converts a decform and decimal to a string using a decform. *
* str2dec Converts a string to a decimal struct. *
* dec2d Similar to dec2num except a double is returned (68k only). *
* dec2f Similar to dec2num except a float is returned. *
* dec2s Similar to dec2num except a short is returned. *
* dec2l Similar to dec2num except a long is returned. *
* *
********************************************************************************/
#if TARGET_CPU_PPC
#define SIGDIGLEN 36
#elif TARGET_CPU_68K
#define SIGDIGLEN 20
#elif TARGET_CPU_X86
#define SIGDIGLEN 20
#endif
#define DECSTROUTLEN 80 /* max length for dec2str output */
#define FLOATDECIMAL ((char)(0))
#define FIXEDDECIMAL ((char)(1))
struct decimal {
char sgn; /* sign 0 for +, 1 for - */
char unused;
short exp; /* decimal exponent */
struct {
unsigned char length;
unsigned char text[SIGDIGLEN]; /* significant digits */
unsigned char unused;
} sig;
};
typedef struct decimal decimal;
struct decform {
char style; /* FLOATDECIMAL or FIXEDDECIMAL */
char unused;
short digits;
};
typedef struct decform decform;
/*
* num2dec()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( void ) num2dec(const decform *f, double_t x, decimal *d);
/*
* dec2num()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double_t ) dec2num(const decimal * d);
/*
* dec2str()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( void ) dec2str(const decform *f, const decimal *d, char *s);
/*
* str2dec()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( void ) str2dec(const char *s, short *ix, decimal *d, short *vp);
#if TARGET_CPU_68K
#if CALL_NOT_IN_CARBON
/*
* dec2d()
*
* Availability:
* Non-Carbon CFM: not available
* CarbonLib: not available
* Mac OS X: not available
*/
EXTERN_API_C( double ) dec2d(const decimal * d);
#endif /* CALL_NOT_IN_CARBON */
#endif /* TARGET_CPU_68K */
/*
* dec2f()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( float ) dec2f(const decimal * d);
/*
* dec2s()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( short ) dec2s(const decimal * d);
/*
* dec2l()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( long ) dec2l(const decimal * d);
/********************************************************************************
* *
* 68k-only Transfer Function Prototypes *
* *
********************************************************************************/
#if TARGET_CPU_68K
#if CALL_NOT_IN_CARBON
/*
* x96tox80()
*
* Availability:
* Non-Carbon CFM: not available
* CarbonLib: not available
* Mac OS X: not available
*/
EXTERN_API_C( void ) x96tox80(const extended96 *x, extended80 *x80);
/*
* x80tox96()
*
* Availability:
* Non-Carbon CFM: not available
* CarbonLib: not available
* Mac OS X: not available
*/
EXTERN_API_C( void ) x80tox96(const extended80 *x80, extended96 *x);
#endif /* CALL_NOT_IN_CARBON */
#endif /* TARGET_CPU_68K */
#endif /* !defined(__NOEXTENSIONS__) */
/********************************************************************************
* *
* PowerPC-only Function Prototypes *
* *
********************************************************************************/
#if TARGET_CPU_PPC
#ifndef __MWERKS__ /* Metrowerks does not support double double */
/*
* cosl()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) cosl(long double x);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) cosl(long double x) { return (long double) cos((double)(x)); }
#else
#define cosl(x) ((long double) cos((double)(x)))
#endif
#endif
/*
* sinl()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) sinl(long double x);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) sinl(long double x) { return (long double) sin((double)(x)); }
#else
#define sinl(x) ((long double) sin((double)(x)))
#endif
#endif
/*
* tanl()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) tanl(long double x);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) tanl(long double x) { return (long double) tan((double)(x)); }
#else
#define tanl(x) ((long double) tan((double)(x)))
#endif
#endif
/*
* acosl()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) acosl(long double x);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) acosl(long double x) { return (long double) acos((double)(x)); }
#else
#define acosl(x) ((long double) acos((double)(x)))
#endif
#endif
/*
* asinl()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) asinl(long double x);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) asinl(long double x) { return (long double) asin((double)(x)); }
#else
#define asinl(x) ((long double) asin((double)(x)))
#endif
#endif
/*
* atanl()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) atanl(long double x);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) atanl(long double x) { return (long double) atan((double)(x)); }
#else
#define atanl(x) ((long double) atan((double)(x)))
#endif
#endif
/*
* atan2l()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) atan2l(long double y, long double x);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) atan2l(long double y, long double x) { return (long double) atan2((double)(y), (double)(x)); }
#else
#define atan2l(y, x) ((long double) atan2((double)(y), (double)(x)))
#endif
#endif
/*
* coshl()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) coshl(long double x);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) coshl(long double x) { return (long double) cosh((double)(x)); }
#else
#define coshl(x) ((long double) cosh((double)(x)))
#endif
#endif
/*
* sinhl()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) sinhl(long double x);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) sinhl(long double x) { return (long double) sinh((double)(x)); }
#else
#define sinhl(x) ((long double) sinh((double)(x)))
#endif
#endif
/*
* tanhl()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) tanhl(long double x);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) tanhl(long double x) { return (long double) tanh((double)(x)); }
#else
#define tanhl(x) ((long double) tanh((double)(x)))
#endif
#endif
/*
* acoshl()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) acoshl(long double x);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) acoshl(long double x) { return (long double) acosh((double)(x)); }
#else
#define acoshl(x) ((long double) acosh((double)(x)))
#endif
#endif
/*
* asinhl()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) asinhl(long double x);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) asinhl(long double x) { return (long double) asinh((double)(x)); }
#else
#define asinhl(x) ((long double) asinh((double)(x)))
#endif
#endif
/*
* atanhl()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) atanhl(long double x);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) atanhl(long double x) { return (long double) atanh((double)(x)); }
#else
#define atanhl(x) ((long double) atanh((double)(x)))
#endif
#endif
/*
* expl()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) expl(long double x);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) expl(long double x) { return (long double) exp((double)(x)); }
#else
#define expl(x) ((long double) exp((double)(x)))
#endif
#endif
/*
* expm1l()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) expm1l(long double x);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) expm1l(long double x) { return (long double) expm1((double)(x)); }
#else
#define expm1l(x) ((long double) expm1((double)(x)))
#endif
#endif
/*
* exp2l()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) exp2l(long double x);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) exp2l(long double x) { return (long double) exp2((double)(x)); }
#else
#define exp2l(x) ((long double) exp2((double)(x)))
#endif
#endif
/*
* frexpl()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) frexpl(long double x, int *exponent);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) frexpl(long double x, int *exponent) { return (long double) frexp((double)(x), (exponent)); }
#else
#define frexpl(x, exponent) ((long double) frexp((double)(x), (exponent)))
#endif
#endif
/*
* ldexpl()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) ldexpl(long double x, int n);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) ldexpl(long double x, int n) { return (long double) ldexp((double)(x), (n)); }
#else
#define ldexpl(x, n) ((long double) ldexp((double)(x), (n)))
#endif
#endif
/*
* logl()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) logl(long double x);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) logl(long double x) { return (long double) log((double)(x)); }
#else
#define logl(x) ((long double) log((double)(x)))
#endif
#endif
/*
* log1pl()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) log1pl(long double x);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) log1pl(long double x) { return (long double) log1p((double)(x)); }
#else
#define log1pl(x) ((long double) log1p((double)(x)))
#endif
#endif
/*
* log10l()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) log10l(long double x);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) log10l(long double x) { return (long double) log10((double)(x)); }
#else
#define log10l(x) ((long double) log10((double)(x)))
#endif
#endif
/*
* log2l()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) log2l(long double x);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) log2l(long double x) { return (long double) log2((double)(x)); }
#else
#define log2l(x) ((long double) log2((double)(x)))
#endif
#endif
/*
* logbl()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) logbl(long double x);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) logbl(long double x) { return (long double) logb((double)(x)); }
#else
#define logbl(x) ((long double) logb((double)(x)))
#endif
#endif
/*
* scalbl()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) scalbl(long double x, long n);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) scalbl(long double x, long n) { return (long double) scalb((double)(x), (n)); }
#else
#define scalbl(x, n) ((long double) scalb((double)(x), (n)))
#endif
#endif
/*
* fabsl()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) fabsl(long double x);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) fabsl(long double x) { return (long double) fabs((double)(x)); }
#else
#define fabsl(x) ((long double) fabs((double)(x)))
#endif
#endif
/*
* hypotl()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) hypotl(long double x, long double y);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) hypotl(long double x, long double y) { return (long double) hypot((double)(x), (double)(y)); }
#else
#define hypotl(x, y) ((long double) hypot((double)(x), (double)(y)))
#endif
#endif
/*
* powl()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) powl(long double x, long double y);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) powl(long double x, long double y) { return (long double) pow((double)(x), (double)(y)); }
#else
#define powl(x, y) ((long double) pow((double)(x), (double)(y)))
#endif
#endif
/*
* sqrtl()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) sqrtl(long double x);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) sqrtl(long double x) { return (long double) sqrt((double)(x)); }
#else
#define sqrtl(x) ((long double) sqrt((double)(x)))
#endif
#endif
/*
* erfl()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) erfl(long double x);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) erfl(long double x) { return (long double) erf((double)(x)); }
#else
#define erfl(x) ((long double) erf((double)(x)))
#endif
#endif
/*
* erfcl()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) erfcl(long double x);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) erfcl(long double x) { return (long double) erfc((double)(x)); }
#else
#define erfcl(x) ((long double) erfc((double)(x)))
#endif
#endif
/*
* gammal()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) gammal(long double x);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) gammal(long double x) { return (long double) gamma((double)(x)); }
#else
#define gammal(x) ((long double) gamma((double)(x)))
#endif
#endif
/*
* lgammal()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) lgammal(long double x);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) lgammal(long double x) { return (long double) lgamma((double)(x)); }
#else
#define lgammal(x) ((long double) lgamma((double)(x)))
#endif
#endif
/*
* ceill()
*
* Availability:
* Non-Carbon CFM: in MathLib 2.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) ceill(long double x);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) ceill(long double x) { return (long double) ceil((double)(x)); }
#else
#define ceill(x) ((long double) ceil((double)(x)))
#endif
#endif
/*
* floorl()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) floorl(long double x);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) floorl(long double x) { return (long double) floor((double)(x)); }
#else
#define floorl(x) ((long double) floor((double)(x)))
#endif
#endif
/*
* rintl()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) rintl(long double x);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) rintl(long double x) { return (long double) rint((double)(x)); }
#else
#define rintl(x) ((long double) rint((double)(x)))
#endif
#endif
/*
* nearbyintl()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) nearbyintl(long double x);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) nearbyintl(long double x) { return (long double) nearbyint((double)(x)); }
#else
#define nearbyintl(x) ((long double) nearbyint((double)(x)))
#endif
#endif
/*
* rinttoll()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long ) rinttoll(long double x);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long ) rinttoll(long double x) { return rinttol((double)(x)); }
#else
#define rinttoll(x) (rinttol((double)(x)))
#endif
#endif
/*
* roundl()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) roundl(long double x);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) roundl(long double x) { return (long double) round((double)(x)); }
#else
#define roundl(x) ((long double) round((double)(x)))
#endif
#endif
/*
* roundtoll()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long ) roundtoll(long double x);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long ) roundtoll(long double x) { return roundtol((double)(x)); }
#else
#define roundtoll(x) (roundtol((double)(x)))
#endif
#endif
/*
* truncl()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) truncl(long double x);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) truncl(long double x) { return (long double) trunc((double)(x)); }
#else
#define truncl(x) ((long double) trunc((double)(x)))
#endif
#endif
/*
* remainderl()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) remainderl(long double x, long double y);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) remainderl(long double x, long double y) { return (long double) remainder((double)(x), (double)(y)); }
#else
#define remainderl(x, y) ((long double) remainder((double)(x), (double)(y)))
#endif
#endif
/*
* remquol()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) remquol(long double x, long double y, int *quo);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) remquol(long double x, long double y, int *quo) { return (long double) remquo((double)(x), (double)(y), (quo)); }
#else
#define remquol(x, y, quo) ((long double) remquo((double)(x), (double)(y), (quo)))
#endif
#endif
/*
* copysignl()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) copysignl(long double x, long double y);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) copysignl(long double x, long double y) { return (long double) copysign((double)(x), (double)(y)); }
#else
#define copysignl(x, y) ((long double) copysign((double)(x), (double)(y)))
#endif
#endif
/*
* fdiml()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) fdiml(long double x, long double y);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) fdiml(long double x, long double y) { return (long double) fdim((double)(x), (double)(y)); }
#else
#define fdiml(x, y) ((long double) fdim((double)(x), (double)(y)))
#endif
#endif
/*
* fmaxl()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) fmaxl(long double x, long double y);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) fmaxl(long double x, long double y) { return (long double) fmax((double)(x), (double)(y)); }
#else
#define fmaxl(x, y) ((long double) fmax((double)(x), (double)(y)))
#endif
#endif
/*
* fminl()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) fminl(long double x, long double y);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) fminl(long double x, long double y) { return (long double) fmin((double)(x), (double)(y)); }
#else
#define fminl(x, y) ((long double) fmin((double)(x), (double)(y)))
#endif
#endif
#endif /* __MWERKS__ */
#ifndef __NOEXTENSIONS__
/*
* relationl()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( relop ) relationl(long double x, long double y);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(relop ) relationl(long double x, long double y) { return relation((double)(x), (double)(y)); }
#else
#define relationl(x, y) (relation((double)(x), (double)(y)))
#endif
#endif
/*
* num2decl()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( void ) num2decl(const decform *f, long double x, decimal *d);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(void) num2decl(const decform *f, long double x, decimal *d) { num2dec((f), (double)(x), (d)); }
#else
#define num2decl(f, x, d) (num2dec((f), (double)(x), (d)))
#endif
#endif
/*
* dec2numl()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( long double ) dec2numl(const decimal * d);
#if TYPE_LONGDOUBLE_IS_DOUBLE
#ifdef __cplusplus
inline DEFINE_API_C(long double ) dec2numl(const decimal *d) { return (long double) dec2num(d); }
#else
#define dec2numl(d) ((long double) dec2num(d))
#endif
#endif
#endif /* !defined(__NOEXTENSIONS__) */
#endif /* TARGET_CPU_PPC */
#endif /* TARGET_OS_MAC */
#ifndef __NOEXTENSIONS__
/*
MathLib v2 has two new transfer functions: x80tod and dtox80. They can
be used to directly transform 68k 80-bit extended data types to double
and back for PowerPC based machines without using the functions
x80told or ldtox80. Double rounding may occur.
*/
/*
* x80tod()
*
* Availability:
* Non-Carbon CFM: in MathLib 2.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( double ) x80tod(const extended80 * x80);
/*
* dtox80()
*
* Availability:
* Non-Carbon CFM: in MathLib 2.0 and later
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: in version 10.0 and later
*/
EXTERN_API_C( void ) dtox80(const double *x, extended80 *x80);
/*
* x80told()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( void ) x80told(const extended80 *x80, long double *x);
#if TYPE_LONGDOUBLE_IS_DOUBLE && !TARGET_OS_WIN32
#ifdef __cplusplus
inline DEFINE_API_C(void) x80told(const extended80 *x80, long double *x) { *(x) = (long double) x80tod(x80); }
#else
#define x80told(x80, x) (*(x) = (long double) x80tod(x80))
#endif
#endif
/*
* ldtox80()
*
* Availability:
* Non-Carbon CFM: in MathLib 1.0 and later or as macro/inline
* CarbonLib: in CarbonLib 1.0 and later
* Mac OS X: not available
*/
EXTERN_API_C( void ) ldtox80(const long double *x, extended80 *x80);
#if TYPE_LONGDOUBLE_IS_DOUBLE && !TARGET_OS_WIN32
#ifdef __cplusplus
inline DEFINE_API_C(void) ldtox80(const long double *x, extended80 *x80) { double d = (double) *(x); dtox80(&d, (x80)); }
#else
#define ldtox80(x, x80) do { double d = (double) *(x); dtox80(&d, (x80)); } while (false)
#endif
#endif
#endif /* !defined(__NOEXTENSIONS__) */
#if PRAGMA_STRUCT_ALIGN
#pragma options align=reset
#elif PRAGMA_STRUCT_PACKPUSH
#pragma pack(pop)
#elif PRAGMA_STRUCT_PACK
#pragma pack()
#endif
#ifdef PRAGMA_IMPORT_OFF
#pragma import off
#elif PRAGMA_IMPORT
#pragma import reset
#endif
#ifdef __cplusplus
}
#endif
#endif /* __FP__ */