Classes | Defines | Enumerations | Functions | Variables

fbxmath.h File Reference

#include <fbxsdk/fbxsdk_def.h>
#include <fbxsdk/core/math/fbxvector2.h>
#include <fbxsdk/core/math/fbxvector4.h>
#include <fbxsdk/core/math/fbxmatrix.h>
#include <fbxsdk/core/math/fbxaffinematrix.h>
#include <fbxsdk/fbxsdk_nsbegin.h>
#include <fbxsdk/fbxsdk_nsend.h>

Go to the source code of this file.

Classes
class   FbxEuler

Defines
#define  FBXSDK_PI   3.1415926535897932384626433832795028841971693993751
#define  FBXSDK_PI_DIV_2   1.5707963267948966192313216916397514420985846996875
#define  FBXSDK_PI_DIV_180   0.017453292519943295769236907684886127134428718885417
#define  FBXSDK_180_DIV_PI   57.295779513082320876798154814105170332405472466565
#define  FBXSDK_1_DIV_LN2   1.4426950408889634073599246810018921374266459541530
#define  FBXSDK_DEG_TO_RAD   FBXSDK_PI_DIV_180
  Degree to Radian.
#define  FBXSDK_RAD_TO_DEG   FBXSDK_180_DIV_PI
  Radian to Degree.
#define  FBXSDK_IN_TO_CM   2.54
  Inch to Centimeter.
#define  FBXSDK_CM_TO_IN   0.393700787
  Centimeter to Inch.
#define  FBXSDK_IN_TO_MM   25.4
  Inch to Millimeter.
#define  FBXSDK_MM_TO_IN   0.0393700787
  Millimeter to Inch.
#define  FBXSDK_FT_TO_M   0.3048
  Feet to Meter.
#define  FBXSDK_M_TO_FT   3.2808399
  Meter to Feet.
#define  FBXSDK_YD_TO_FT   3
  Yard to Feet.
#define  FBXSDK_FT_TO_YD   0.333333333
  Feet to Yard.
#define  FBXSDK_KM_TO_MILE   0.621371192
  Kilometer to Mile.
#define  FBXSDK_MILE_TO_KM   1.609344
  Mile to Kilometer.
#define  FBXSDK_YD_TO_M   0.9144
  Yard to Meter.
#define  FBXSDK_M_TO_YD   1.0936133
  Meter to Yard.
#define  EulerOrder(EAxis, EParity, ERepeat)   (((EAxis) << 2) | (EParity) | (ERepeat))

Enumerations
enum   EFbxRotationOrder {
  eEulerXYZ, eEulerXZY, eEulerYZX, eEulerYXZ,
  eEulerZXY, eEulerZYX, eSphericXYZ
}
 

Rotation order flags.

More...
enum   EFbxQuatInterpMode {
  eQuatInterpOff, eQuatInterpClassic, eQuatInterpSlerp, eQuatInterpCubic,
  eQuatInterpTangentDependent, eQuatInterpCount
}
 

Quaternion interpolation modes.

More...

Functions
float  FbxFloor (const float &x)
double  FbxFloor (const double &x)
float  FbxCeil (const float &x)
double  FbxCeil (const double &x)
template<class T >
T  FbxSign (const T &x)
template<class T >
T  FbxRound (const T &x)
const FbxUChar  FbxAbs (const FbxUChar &x)
const FbxUShort  FbxAbs (const FbxUShort &x)
const FbxUInt  FbxAbs (const FbxUInt &x)
const FbxULong  FbxAbs (const FbxULong &x)
const FbxULongLong  FbxAbs (const FbxULongLong x)
const FbxFloat  FbxAbs (const FbxFloat &x)
const FbxDouble  FbxAbs (const FbxDouble &x)
template<class T >
const T  FbxAbs (const T &x)
template<class T >
T  FbxAbs (const T &x, const T &y)
template<class T >
const T  FbxClamp (const T &value, const T &min, const T &max)
template<class T >
bool  FbxEqual (const T &x, const T &y, const T &e=FBXSDK_TOLERANCE)
bool  FbxEqual (const FbxDouble2 &x, const FbxDouble2 &y, const double &e=FBXSDK_TOLERANCE)
bool  FbxEqual (const FbxDouble3 &x, const FbxDouble3 &y, const double &e=FBXSDK_TOLERANCE)
bool  FbxEqual (const FbxDouble4 &x, const FbxDouble4 &y, const double &e=FBXSDK_TOLERANCE)
bool  FbxEqual (const FbxVector2 &x, const FbxVector2 &y, const double &e=FBXSDK_TOLERANCE)
bool  FbxEqual (const FbxVector4 &x, const FbxVector4 &y, const double &e=FBXSDK_TOLERANCE)
bool  FbxEqual (const FbxMatrix &x, const FbxMatrix &y, const double &e=FBXSDK_TOLERANCE)
bool  FbxEqual (const FbxAMatrix &x, const FbxAMatrix &y, const double &e=FBXSDK_TOLERANCE)
template<class T >
T  FbxReciprocal (const T &x)
double  FbxSqrt (const double &x)
float  FbxSqrt (const float &x)
template<class T >
T  FbxSqrt (const T &x)
float  FbxExp (const float &x)
double  FbxExp (const double &x)
template<class T >
T  FbxPow (const T &x, const T &y)
float  FbxLog (const float &x)
double  FbxLog (const double &x)
template<class T >
T  FbxLog2 (const T &x)
float  FbxSin (const float &x)
double  FbxSin (const double &x)
float  FbxCos (const float &x)
double  FbxCos (const double &x)
template<class T >
T  FbxCos (const T &x)
template<class T >
T  FbxSinCos (const T &x, T *y)
template<class T >
T  FbxSinCosd (const T &x, T *y)
double  FbxASin (const double &x)
template<class T >
T  FbxASind (const T &x)
template<class T >
T  FbxACosd (const T &x)
float  FbxATan (const float &x)
double  FbxATan (const double &x)
template<class T >
T  FbxATand (const T &x)
float  FbxATan (const float &y, const float &x)
double  FbxATan (const double &y, const double &x)
template<class T >
T  FbxATand (const T &y, const T &x)
template<class T >
T  FbxNorm (const T &x, const T &y)
template<class T >
T  FbxNorm (const T &x, const T &y, const T &z)
template<class T >
T  FbxNorm (const T &w, const T &x, const T &y, const T &z)
template<class T >
T  FbxHypot (const T &x, const T &y)
template<class T >
T  FbxHypot (const T &x, const T &y, const T &z)
template<class T >
T  FbxHypot (const T &w, const T &x, const T &y, const T &z)
float  FbxASin (const float &x)
float  FbxACos (const float &x)
double  FbxACos (const double &x)
template<class T >
const int  FbxBitCount (const T &x)
template<class T >
void  FbxFixInfinite (T &x)
template<class T >
T  FbxExp (const T &x)
template<class T >
T  FbxLog (const T &x)
template<class T >
T  FbxSin (const T &x)
template<class T >
T  FbxASin (const T &x)
template<class T >
T  FbxACos (const T &x)
template<class T >
T  FbxATan (const T &x)
template<class T >
T  FbxATan (const T &y, const T &x)

Variables
FBXSDK_DLL const double  FbxIdentityMatrix [4][4]

Detailed Description

Definition in file fbxmath.h.

Define Documentation

#define FBXSDK_PI   3.1415926535897932384626433832795028841971693993751
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Definition at line 42 of file fbxmath.h.

#define FBXSDK_PI_DIV_2   1.5707963267948966192313216916397514420985846996875
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Definition at line 43 of file fbxmath.h.

#define FBXSDK_PI_DIV_180   0.017453292519943295769236907684886127134428718885417
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Examples:
ViewScene/SetCamera.cxx.

Definition at line 44 of file fbxmath.h.

#define FBXSDK_180_DIV_PI   57.295779513082320876798154814105170332405472466565
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Examples:
ViewScene/SetCamera.cxx.

Definition at line 45 of file fbxmath.h.

#define FBXSDK_1_DIV_LN2   1.4426950408889634073599246810018921374266459541530
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Definition at line 46 of file fbxmath.h.

#define FBXSDK_DEG_TO_RAD   FBXSDK_PI_DIV_180
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Degree to Radian.

Definition at line 50 of file fbxmath.h.

#define FBXSDK_RAD_TO_DEG   FBXSDK_180_DIV_PI
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Radian to Degree.

Definition at line 51 of file fbxmath.h.

#define FBXSDK_IN_TO_CM   2.54
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Inch to Centimeter.

Definition at line 52 of file fbxmath.h.

#define FBXSDK_CM_TO_IN   0.393700787
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Centimeter to Inch.

Definition at line 53 of file fbxmath.h.

#define FBXSDK_IN_TO_MM   25.4
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Inch to Millimeter.

Definition at line 54 of file fbxmath.h.

#define FBXSDK_MM_TO_IN   0.0393700787
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Millimeter to Inch.

Definition at line 55 of file fbxmath.h.

#define FBXSDK_FT_TO_M   0.3048
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Feet to Meter.

Definition at line 56 of file fbxmath.h.

#define FBXSDK_M_TO_FT   3.2808399
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Meter to Feet.

Definition at line 57 of file fbxmath.h.

#define FBXSDK_YD_TO_FT   3
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Yard to Feet.

Definition at line 58 of file fbxmath.h.

#define FBXSDK_FT_TO_YD   0.333333333
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Feet to Yard.

Definition at line 59 of file fbxmath.h.

#define FBXSDK_KM_TO_MILE   0.621371192
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Kilometer to Mile.

Definition at line 60 of file fbxmath.h.

#define FBXSDK_MILE_TO_KM   1.609344
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Mile to Kilometer.

Definition at line 61 of file fbxmath.h.

#define FBXSDK_YD_TO_M   0.9144
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Yard to Meter.

Definition at line 62 of file fbxmath.h.

#define FBXSDK_M_TO_YD   1.0936133
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Meter to Yard.

Definition at line 63 of file fbxmath.h.

#define EulerOrder (   EAxis,
  EParity,
  ERepeat 
)    (((EAxis) << 2) | (EParity) | (ERepeat))
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Definition at line 74 of file fbxmath.h.

Enumeration Type Documentation

enum EFbxRotationOrder
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Rotation order flags.

Each rotate order produces a different end orientation. For example, if the rotation order for an object is set to XYZ, the object first rotates about its X-axis, then its Y-axis, and finally its Z-axis.

Enumerator:
eEulerXYZ 
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eEulerXZY 
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eEulerYZX 
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eEulerYXZ 
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eEulerZXY 
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eEulerZYX 
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eSphericXYZ 
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Definition at line 100 of file fbxmath.h.

{ 
    eEulerXYZ,
    eEulerXZY,
    eEulerYZX,
    eEulerYXZ,
    eEulerZXY,
    eEulerZYX,
    eSphericXYZ
};
enum EFbxQuatInterpMode
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Quaternion interpolation modes.

Enumerator:
eQuatInterpOff 

Do not evaluate using quaternion interpolation.

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eQuatInterpClassic 

Legacy quaternion interpolation mode.

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eQuatInterpSlerp 

Spherical linear interpolation.

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eQuatInterpCubic 

Cubic interpolation.

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eQuatInterpTangentDependent 

Mix between Slerp and cubic interpolation, depending on the specified tangents for each key.

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eQuatInterpCount 

Number of quaternion interpolation modes.

Mark the end of this enum.

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Definition at line 112 of file fbxmath.h.

{
    eQuatInterpOff,                 
    eQuatInterpClassic,             
    eQuatInterpSlerp,               
    eQuatInterpCubic,               
    eQuatInterpTangentDependent,    
    eQuatInterpCount                
};

Function Documentation

float FbxFloor ( const float &  x ) [inline]
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Definition at line 124 of file fbxmath.h.

{
    return float(floor(x));
}
double FbxFloor ( const double &  x ) [inline]
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Definition at line 129 of file fbxmath.h.

{
    return floor(x);
}
float FbxCeil ( const float &  x ) [inline]
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Definition at line 134 of file fbxmath.h.

{
    return float(ceil(x));
}
double FbxCeil ( const double &  x ) [inline]
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Definition at line 139 of file fbxmath.h.

{
    return ceil(x);
}
T FbxSign ( const T &  x ) [inline]
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Definition at line 144 of file fbxmath.h.

{
    return (x < 0) ? T(-1) : T(1);
}
T FbxRound ( const T &  x ) [inline]
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Definition at line 149 of file fbxmath.h.

{
    T y = FbxFloor(x);
    return (x - y < T(0.5)) ? y : y + T(1);
}
const FbxUChar FbxAbs ( const FbxUChar &  x ) [inline]
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Definition at line 155 of file fbxmath.h.

{
    return x;
}
const FbxUShort FbxAbs ( const FbxUShort &  x ) [inline]
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Definition at line 160 of file fbxmath.h.

{
    return x;
}
const FbxUInt FbxAbs ( const FbxUInt &  x ) [inline]
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Definition at line 165 of file fbxmath.h.

{
    return x;
}
const FbxULong FbxAbs ( const FbxULong &  x ) [inline]
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Definition at line 171 of file fbxmath.h.

    {
        return x;
    }
const FbxULongLong FbxAbs ( const FbxULongLong  x ) [inline]
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Definition at line 177 of file fbxmath.h.

{
    return x;
}
const FbxFloat FbxAbs ( const FbxFloat &  x ) [inline]
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Definition at line 182 of file fbxmath.h.

{
    return fabs(x);
}
const FbxDouble FbxAbs ( const FbxDouble &  x ) [inline]
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Definition at line 187 of file fbxmath.h.

{
    return fabs(x);
}
const T FbxAbs ( const T &  x ) [inline]
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Definition at line 192 of file fbxmath.h.

{
    return (x >= 0) ? x : ((x > FbxMin(x)) ? -x : FbxMax(x));
}
T FbxAbs ( const T &  x,
const T &  y 
) [inline]
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Definition at line 197 of file fbxmath.h.

{
    T ax, ay;
    if( x )
    {
        if( ax = FbxAbs(x), y )
        {
            return ( ax > (ay = FbxAbs(y)) ) ? ay * FbxSqrt(T(1) + kSq(x / y)) : ax * FbxSqrt(T(1) + kSq(y / x));
        }
        else
        {
            return ax;
        }
    }
    else
    {
        return FbxAbs(y);
    }
}
const T FbxClamp ( const T &  value,
const T &  min,
const T &  max 
) [inline]
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Definition at line 217 of file fbxmath.h.

{
    return (value < min) ? min : ((value > max) ? max : value);
}
bool FbxEqual ( const T &  x,
const T &  y,
const T &  e = FBXSDK_TOLERANCE 
) [inline]
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Definition at line 222 of file fbxmath.h.

{
    return FbxAbs(x - y) <= e;
}
bool FbxEqual ( const FbxDouble2 &  x,
const FbxDouble2 &  y,
const double &  e = FBXSDK_TOLERANCE 
) [inline]
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Definition at line 227 of file fbxmath.h.

{
    return ( FbxEqual(x.mData[0], y.mData[0], e) && FbxEqual(x.mData[1], y.mData[1], e) );
}
bool FbxEqual ( const FbxDouble3 &  x,
const FbxDouble3 &  y,
const double &  e = FBXSDK_TOLERANCE 
) [inline]
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Definition at line 232 of file fbxmath.h.

{
    return ( FbxEqual(x.mData[0], y.mData[0], e) && FbxEqual(x.mData[1], y.mData[1], e) && FbxEqual(x.mData[2], y.mData[2], e) );
}
bool FbxEqual ( const FbxDouble4 &  x,
const FbxDouble4 &  y,
const double &  e = FBXSDK_TOLERANCE 
) [inline]
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Definition at line 237 of file fbxmath.h.

{
    return ( FbxEqual(x.mData[0], y.mData[0], e) && FbxEqual(x.mData[1], y.mData[1], e) && FbxEqual(x.mData[2], y.mData[2], e) && FbxEqual(x.mData[3], y.mData[3], e) );
}
bool FbxEqual ( const FbxVector2 &  x,
const FbxVector2 &  y,
const double &  e = FBXSDK_TOLERANCE 
) [inline]
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Definition at line 247 of file fbxmath.h.

{
    return ( FbxEqual(x.mData[0], y.mData[0], e) && FbxEqual(x.mData[1], y.mData[1], e) );
}
bool FbxEqual ( const FbxVector4 &  x,
const FbxVector4 &  y,
const double &  e = FBXSDK_TOLERANCE 
) [inline]
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Definition at line 252 of file fbxmath.h.

{
    return ( FbxEqual(x.mData[0], y.mData[0], e) && FbxEqual(x.mData[1], y.mData[1], e) && FbxEqual(x.mData[2], y.mData[2], e) && FbxEqual(x.mData[3], y.mData[3], e) );
}
bool FbxEqual ( const FbxMatrix &  x,
const FbxMatrix &  y,
const double &  e = FBXSDK_TOLERANCE 
) [inline]
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Definition at line 257 of file fbxmath.h.

{
    return ( FbxEqual(x[0], y[0], e) && FbxEqual(x[1], y[1], e) && FbxEqual(x[2], y[2], e) && FbxEqual(x[3], y[3], e) );
}
bool FbxEqual ( const FbxAMatrix &  x,
const FbxAMatrix &  y,
const double &  e = FBXSDK_TOLERANCE 
) [inline]
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Definition at line 262 of file fbxmath.h.

{
    return ( FbxEqual(x[0], y[0], e) && FbxEqual(x[1], y[1], e) && FbxEqual(x[2], y[2], e) && FbxEqual(x[3], y[3], e) );
}
T FbxReciprocal ( const T &  x ) [inline]
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Definition at line 267 of file fbxmath.h.

{
    return T(1) / x;
}
double FbxSqrt ( const double &  x ) [inline]
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Definition at line 272 of file fbxmath.h.

{
    return sqrt(x);
}
float FbxSqrt ( const float &  x ) [inline]
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Definition at line 277 of file fbxmath.h.

{
    return sqrtf(x);
}
T FbxSqrt ( const T &  x ) [inline]
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Definition at line 282 of file fbxmath.h.

{
    if( x > 1 )
    {
        T z, y = x >> 1; 
        do 
        { 
            z = y; 
            y = (y + (x / y)) >> 1; 
        }
        while(y < z); 

        return z;
    }
    else
    {
        return x;
    }
}
float FbxExp ( const float &  x ) [inline]
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Definition at line 302 of file fbxmath.h.

{
    return expf(x);
}
double FbxExp ( const double &  x ) [inline]
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Definition at line 307 of file fbxmath.h.

{
    return exp(x);
}
T FbxPow ( const T &  x,
const T &  y 
) [inline]
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Definition at line 312 of file fbxmath.h.

{
    return FbxExp(y * FbxLog(x));
}
float FbxLog ( const float &  x ) [inline]
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Definition at line 317 of file fbxmath.h.

{
    return float(log(x));
}
double FbxLog ( const double &  x ) [inline]
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Definition at line 322 of file fbxmath.h.

{
    return log(x);
}
T FbxLog2 ( const T &  x ) [inline]
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Definition at line 327 of file fbxmath.h.

{
    return FbxLog(x) * T(FBXSDK_1_DIV_LN2);
}
float FbxSin ( const float &  x ) [inline]
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Definition at line 332 of file fbxmath.h.

{
    return sinf(x);
}
double FbxSin ( const double &  x ) [inline]
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Definition at line 337 of file fbxmath.h.

{
    return sin(x);
}
float FbxCos ( const float &  x ) [inline]
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Definition at line 342 of file fbxmath.h.

{
    return cosf(x);
}
double FbxCos ( const double &  x ) [inline]
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Definition at line 347 of file fbxmath.h.

{
    return cos(x);
}
T FbxCos ( const T &  x ) [inline]
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T FbxSinCos ( const T &  x,
T *  y 
) [inline]
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Definition at line 355 of file fbxmath.h.

{
    return *y = FbxCos(x), FbxSin(x);
}
T FbxSinCosd ( const T &  x,
T *  y 
) [inline]
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Definition at line 361 of file fbxmath.h.

{
    return FbxSinCos(T(x * FBXSDK_PI_DIV_180), y);
}
double FbxASin ( const double &  x ) [inline]
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Definition at line 366 of file fbxmath.h.

{
    return asin(x);
}
T FbxASind ( const T &  x ) [inline]
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Definition at line 371 of file fbxmath.h.

{
    return FbxASin(x) * FBXSDK_180_DIV_PI;
}
T FbxACosd ( const T &  x ) [inline]
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Definition at line 376 of file fbxmath.h.

{
    return FbxACos(x) * FBXSDK_180_DIV_PI;
}
float FbxATan ( const float &  x ) [inline]
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Definition at line 381 of file fbxmath.h.

{
    return atanf(x);
}
double FbxATan ( const double &  x ) [inline]
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Definition at line 386 of file fbxmath.h.

{
    return atan(x);
}
T FbxATand ( const T &  x ) [inline]
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Definition at line 391 of file fbxmath.h.

{
    return FbxATan(x) * FBXSDK_180_DIV_PI;
}
float FbxATan ( const float &  y,
const float &  x 
) [inline]
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Definition at line 396 of file fbxmath.h.

{
    return atan2f(y, x);
}
double FbxATan ( const double &  y,
const double &  x 
) [inline]
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Definition at line 401 of file fbxmath.h.

{
    return atan2(y, x);
}
T FbxATand ( const T &  y,
const T &  x 
) [inline]
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Definition at line 406 of file fbxmath.h.

{
    return FbxATan(y, x) * FBXSDK_180_DIV_PI;
}
T FbxNorm ( const T &  x,
const T &  y 
) [inline]
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Definition at line 411 of file fbxmath.h.

{
    return FbxSqrt(x * x + y * y);
}
T FbxNorm ( const T &  x,
const T &  y,
const T &  z 
) [inline]
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Definition at line 416 of file fbxmath.h.

{
    return FbxSqrt(x * x + y * y + z * z);
}
T FbxNorm ( const T &  w,
const T &  x,
const T &  y,
const T &  z 
) [inline]
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Definition at line 421 of file fbxmath.h.

{
    return FbxSqrt(w * w + x * x + y * y + z * z);
}
T FbxHypot ( const T &  x,
const T &  y 
) [inline]
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Definition at line 426 of file fbxmath.h.

{
    return FbxSqrt(x * x + y * y);
}
T FbxHypot ( const T &  x,
const T &  y,
const T &  z 
) [inline]
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Definition at line 431 of file fbxmath.h.

{
    return FbxSqrt(x * x + y * y + z * z);
}
T FbxHypot ( const T &  w,
const T &  x,
const T &  y,
const T &  z 
) [inline]
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Definition at line 436 of file fbxmath.h.

{
    return FbxSqrt(w * w + x * x + y * y + z * z);
}
float FbxASin ( const float &  x ) [inline]
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Definition at line 441 of file fbxmath.h.

{
    return asinf(x);
}
float FbxACos ( const float &  x ) [inline]
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Definition at line 446 of file fbxmath.h.

{
    return acosf(x);
}
double FbxACos ( const double &  x ) [inline]
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Definition at line 451 of file fbxmath.h.

{
    return acos(x);
}
const int FbxBitCount ( const T &  x ) [inline]
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Definition at line 456 of file fbxmath.h.

{
    int n = 0;
    T c = x;
    while( c )
    {
        n += int(c & 1);
        c = (c >> 1);
    }
    return n;
}
void FbxFixInfinite ( T &  x ) [inline]
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Definition at line 468 of file fbxmath.h.

{
    if( x != x || x > FbxMax(x) || x < -FbxMax(x) )
    {
        x = T(0);
    }
}
T FbxExp ( const T &  x ) [inline]
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T FbxLog ( const T &  x ) [inline]
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T FbxSin ( const T &  x ) [inline]
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T FbxASin ( const T &  x ) [inline]
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T FbxACos ( const T &  x ) [inline]
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T FbxATan ( const T &  x ) [inline]
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T FbxATan ( const T &  y,
const T &  x 
) [inline]
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Variable Documentation

FBXSDK_DLL const double FbxIdentityMatrix[4][4]
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