#include <fbxaffinematrix.h>

Class Description

FBX SDK affine matrix class.

Matrices are defined using the Column Major scheme. When a FbxAMatrix represents a transformation (translation, rotation and scale), the last row of the matrix represents the translation part of the transformation.

Remarks: It is important to realize that an affine matrix must respect a certain structure. To be sure the structure is respected, use SetT, SetR, SetS, SetQ, SetTRS or SetTQS. If by mistake bad data is entered in this affine matrix, some functions such as Inverse() will yield wrong results. If a matrix is needed to hold values that aren't associate with an affine matrix, please use FbxMatrix instead.

Examples:: ExportScene01/main.cxx, ExportScene05/main.cxx, ImportScene/DisplayLink.cxx, ImportScene/DisplayPose.cxx, Pivot/main.cxx, StereoCamera/main.cxx, SwitchBinding/main.cxx, Transformations/main.cxx, ViewScene/DrawScene.cxx, ViewScene/DrawScene.h, ViewScene/GetPosition.cxx, ViewScene/GetPosition.h, ViewScene/GlFunctions.cxx, ViewScene/GlFunctions.h, ViewScene/SceneContext.cxx, ViewScene/SceneContext.h, and ViewScene/SetCamera.cxx.

Definition at line 31 of file fbxaffinematrix.h.

Inheritance diagram for FbxAMatrix:

Public Member Functions
bool	IsIdentity (const double pThreshold=(1.0e-6))
	Find out if the matrix is equal to identity matrix. More...

Public Member Functions inherited from FbxVectorTemplate4< T >
	FbxVectorTemplate4 ()

	FbxVectorTemplate4 (T pValue)

	FbxVectorTemplate4 (T pData0, T pData1, T pData2, T pData3)

	~FbxVectorTemplate4 ()

T &	operator[] (int pIndex)

const T &	operator[] (int pIndex) const

	operator FbxVectorTemplate3< T > & () const

FbxVectorTemplate4< T > &	operator= (const T &pValue)

FbxVectorTemplate4< T > &	operator= (const FbxVectorTemplate3< T > &pValue)

FbxVectorTemplate4< T > &	operator= (const FbxVectorTemplate4< T > &pVector)

bool	operator== (const FbxVectorTemplate4< T > &pVector) const

bool	operator!= (const FbxVectorTemplate4< T > &pVector) const

T *	Buffer ()

const T *	Buffer () const

Constructors and Destructor
	FbxAMatrix ()
	Constructor. More...

	FbxAMatrix (const FbxAMatrix &pOther)
	Copy constructor. More...

	FbxAMatrix (const FbxVector4 &pT, const FbxVector4 &pR, const FbxVector4 &pS)
	Constructor. More...

	~FbxAMatrix ()
	Destructor. More...

Access
double	Get (int pY, int pX) const
	Retrieve matrix element. More...

FbxVector4	GetT () const
	Extract translation vector. More...

FbxVector4	GetR () const
	Extract rotation vector. More...

FbxQuaternion	GetQ () const
	Extract quaternion vector. More...

FbxVector4	GetS () const
	Extract scale vector. More...

FbxVector4	GetRow (int pY) const
	Extract a row vector. More...

FbxVector4	GetColumn (int pX) const
	Extract a column vector. More...

void	SetIdentity ()
	Set matrix to identity. More...

void	SetT (const FbxVector4 &pT)
	Set matrix's translation. More...

void	SetR (const FbxVector4 &pR)
	Set matrix's Euler rotation. More...

void	SetQ (const FbxQuaternion &pQ)
	Set matrix's quaternion. More...

void	SetS (const FbxVector4 &pS)
	Set matrix's scale. More...

void	SetTRS (const FbxVector4 &pT, const FbxVector4 &pR, const FbxVector4 &pS)
	Set matrix. More...

void	SetTQS (const FbxVector4 &pT, const FbxQuaternion &pQ, const FbxVector4 &pS)
	Set matrix. More...

FbxAMatrix &	operator= (const FbxAMatrix &pM)
	Assignment operator. More...

Scalar Operations
FbxAMatrix	operator* (double pValue) const
	Multiply matrix by a scalar value. More...

FbxAMatrix	operator/ (double pValue) const
	Divide matrix by a scalar value. More...

FbxAMatrix &	operator*= (double pValue)
	Multiply matrix by a scalar value. More...

FbxAMatrix &	operator/= (double pValue)
	Divide matrix by a scalar value. More...

Vector Operations
FbxVector4	MultT (const FbxVector4 &pVector4) const
	Multiply matrix by a translation vector. More...

FbxVector4	MultR (const FbxVector4 &pVector4) const
	Multiply matrix by an Euler rotation vector. More...

FbxQuaternion	MultQ (const FbxQuaternion &pQuaternion) const
	Multiply matrix by a quaternion. More...

FbxVector4	MultS (const FbxVector4 &pVector4) const
	Multiply matrix by a scale vector. More...

Matrix Operations
FbxAMatrix	operator- () const
	Unary minus operator. More...

FbxAMatrix	operator* (const FbxAMatrix &pOther) const
	Multiply two matrices together. More...

FbxAMatrix &	operator*= (const FbxAMatrix &pOther)
	Multiply two matrices together. More...

FbxAMatrix	Inverse () const
	Calculate the matrix inverse. More...

FbxAMatrix	Transpose () const
	Calculate the matrix transpose. More...

FbxAMatrix	Slerp (const FbxAMatrix &pOther, double pWeight) const
	Calculate a spherical linear interpolation matrix. More...

Boolean Operations
bool	operator== (const FbxAMatrix &pOther) const
	Equivalence operator. More...

bool	operator!= (const FbxAMatrix &pOther) const
	Non-equivalence operator. More...

Casting
typedef const	double(kDouble44)[4][4]
	Define 4*4 array as a new type. More...

	operator double * ()
	Cast the matrix in a double pointer. More...

	operator const double * () const
	Cast the matrix in a const double pointer. More...

kDouble44 &	Double44 () const
	Cast the matrix in a reference to a 4*4 array. More...

Additional Inherited Members
Public Attributes inherited from FbxVectorTemplate4< T >
T	mData [4]

Member Typedef Documentation

◆ double

typedef const double(kDouble44)[4][4]

Define 4*4 array as a new type.

Definition at line 303 of file fbxaffinematrix.h.

Constructor & Destructor Documentation

◆ FbxAMatrix() [1/3]

FbxAMatrix ( )

Constructor.

◆ FbxAMatrix() [2/3]

FbxAMatrix ( const FbxAMatrix & pOther )

Copy constructor.

Parameters

pOther FbxAMatrix copied to this one.

◆ FbxAMatrix() [3/3]

FbxAMatrix	(	const FbxVector4 &	pT,
		const FbxVector4 &	pR,
		const FbxVector4 &	pS
	)

Constructor.

Parameters

pT	Translation vector.
pR	Euler rotation vector.
pS	Scale vector.

◆ ~FbxAMatrix()

~FbxAMatrix ( )

Destructor.

Member Function Documentation

◆ Get()

double Get	(	int	pY,
		int	pX
	)		const

Retrieve matrix element.

Parameters

pY	Row index.
pX	Column index.

Returns: Cell [ pX, pY ] value.

◆ GetT()

FbxVector4 GetT ( ) const

Extract translation vector.

Returns: Translation vector.

Examples:: ImportScene/DisplayLink.cxx, StereoCamera/main.cxx, Transformations/main.cxx, ViewScene/DrawScene.cxx, ViewScene/GlFunctions.cxx, and ViewScene/SetCamera.cxx.

◆ GetR()

FbxVector4 GetR ( ) const

Extract rotation vector.

Returns: Rotation vector.

Remarks: The returned rotation vector is in Euler angle and the rotation order is XYZ.

Examples:: ImportScene/DisplayLink.cxx, StereoCamera/main.cxx, and Transformations/main.cxx.

◆ GetQ()

FbxQuaternion GetQ ( ) const

Extract quaternion vector.

Returns: Quaternion vector.

Examples:: ViewScene/DrawScene.cxx.

◆ GetS()

FbxVector4 GetS ( ) const

Extract scale vector.

Returns: Scale vector.

Examples:: ImportScene/DisplayLink.cxx, and StereoCamera/main.cxx.

◆ GetRow()

FbxVector4 GetRow ( int pY ) const

Extract a row vector.

Parameters

pY	Row index.

Returns: The row vector.

Examples:: ImportScene/DisplayPose.cxx, and Transformations/main.cxx.

◆ GetColumn()

FbxVector4 GetColumn ( int pX ) const

Extract a column vector.

Parameters

pX	Column index.

Returns: The column vector.

◆ SetIdentity()

void SetIdentity ( )

Set matrix to identity.

Examples:: Transformations/main.cxx, and ViewScene/DrawScene.cxx.

◆ SetT()

void SetT ( const FbxVector4 & pT )

Set matrix's translation.

Parameters

pT	Translation vector.

Examples:: ExportScene05/main.cxx, Transformations/main.cxx, and ViewScene/SetCamera.cxx.

◆ SetR()

void SetR ( const FbxVector4 & pR )

Set matrix's Euler rotation.

Parameters

pR	X, Y and Z rotation values expressed as a vector.

Remarks: The rotation transform is constructed in rotation order XYZ.

Examples:: ExportScene05/main.cxx, Transformations/main.cxx, ViewScene/DrawScene.cxx, and ViewScene/SetCamera.cxx.

◆ SetQ()

void SetQ ( const FbxQuaternion & pQ )

Set matrix's quaternion.

Parameters

pQ	The new quaternion.

◆ SetS()

void SetS ( const FbxVector4 & pS )

Set matrix's scale.

Parameters

pS	X, Y and Z scaling factors expressed as a vector.

Examples:: ExportScene05/main.cxx, and Transformations/main.cxx.

◆ SetTRS()

void SetTRS	(	const FbxVector4 &	pT,
		const FbxVector4 &	pR,
		const FbxVector4 &	pS
	)

Set matrix.

Parameters

pT	Translation vector.
pR	Rotation vector.
pS	Scale vector.

◆ SetTQS()

void SetTQS	(	const FbxVector4 &	pT,
		const FbxQuaternion &	pQ,
		const FbxVector4 &	pS
	)

Set matrix.

Parameters

pT	Translation vector.
pQ	Quaternion vector.
pS	Scale vector.

◆ operator=()

FbxAMatrix& operator= ( const FbxAMatrix & pM )

Assignment operator.

Parameters

pM	FbxAMatrix assigned to this one.

◆ operator*() [1/2]

FbxAMatrix operator* ( double pValue ) const

Multiply matrix by a scalar value.

Parameters

pValue Scalar value.

Returns: The scaled matrix.

Remarks: The passed value is not checked. This operator operates on the first three rows and columns of the matrix. So only the rotation and scaling are scaled, not the translation part. After operation, the translation vector will be set as (0,0,0,1);

◆ operator/()

FbxAMatrix operator/ ( double pValue ) const

Divide matrix by a scalar value.

Parameters

pValue Scalar value.

Returns: The divided matrix.

Remarks: The passed value is not checked. This operator operates on the first three rows and columns of the matrix. So only the rotation and scaling are scaled, not the translation part. After operation, the translation vector will be set as (0,0,0,1);

◆ operator*=() [1/2]

FbxAMatrix& operator*= ( double pValue )

Multiply matrix by a scalar value.

Parameters

pValue Scalar value.

Returns: this updated with the result of the multiplication.

Remarks: The passed value is not checked. This operator operates on the first three rows and columns of the matrix. So only the rotation and scaling are scaled, not the translation part. After operation, the translation vector will keep original value.

◆ operator/=()

FbxAMatrix& operator/= ( double pValue )

Divide matrix by a scalar value.

Parameters

pValue Scalar value.

Returns: this updated with the result of the division.

Remarks: The passed value is not checked. This operator operates on the first three rows and columns of the matrix. So only the rotation and scaling are scaled, not the translation part. After operation, the translation vector will keep original value.

◆ MultT()

FbxVector4 MultT ( const FbxVector4 & pVector4 ) const

Multiply matrix by a translation vector.

Parameters

pVector4 Translation vector.

Returns: t' = M * t

Examples:: Transformations/main.cxx, ViewScene/DrawScene.cxx, and ViewScene/SetCamera.cxx.

◆ MultR()

FbxVector4 MultR ( const FbxVector4 & pVector4 ) const

Multiply matrix by an Euler rotation vector.

Parameters

pVector4 Euler Rotation vector.

Returns: r' = M * r

◆ MultQ()

FbxQuaternion MultQ ( const FbxQuaternion & pQuaternion ) const

Multiply matrix by a quaternion.

Parameters

pQuaternion Rotation value.

Returns: q' = M * q

◆ MultS()

FbxVector4 MultS ( const FbxVector4 & pVector4 ) const

Multiply matrix by a scale vector.

Parameters

pVector4 Scaling vector.

Returns: s' = M * s

◆ operator-()

FbxAMatrix operator- ( ) const

Unary minus operator.

Returns: A matrix where each element is multiplied by -1.

◆ operator*() [2/2]

FbxAMatrix operator* ( const FbxAMatrix & pOther ) const

Multiply two matrices together.

Parameters

pOther A Matrix.

Returns: this * pMatrix.

Remarks: Transformations are pre-multiplied. That means to scale, then rotate, and then translate a vector V, the transform should be T * R * S * V.
Below is an example of code that shows how to construct rotation transform in XYZ rotation order.
FbxAMatrix lRotateXM, lRotateYM, lRotateZM, lRotateXYZM, lRotateM;
// Construct rotation matrix around X, Y and Z axises separately and then combine them.
FbxVector4 lRotateX(10, 0, 0);
FbxVector4 lRotateY(0, 10, 0);
FbxVector4 lRotateZ(0, 0, 10);
lRotateXM.SetR(lRotateX);
lRotateYM.SetR(lRotateY);
lRotateZM.SetR(lRotateZ);
lRotateXYZM = lRotateZM * lRotateYM * lRotateXM;
// Alternatively, we can use SetR() directly.
// lRotateXYZM and lRotateM will be the same.
FbxVector4 lRotateXYZ (10, 10, 10);
lRotateM.SetR(lRotateXYZ);

Note: Please refer to the FBX SDK programmers guide for more details.

◆ operator*=() [2/2]

FbxAMatrix& operator*= ( const FbxAMatrix & pOther )

Multiply two matrices together.

Parameters

pOther A Matrix.

Returns: this updated with the result of the multiplication.

◆ Inverse()

FbxAMatrix Inverse ( ) const

Calculate the matrix inverse.

Returns: The inverse matrix of this.

Examples:: ExportScene05/main.cxx, Transformations/main.cxx, ViewScene/DrawScene.cxx, and ViewScene/SetCamera.cxx.

◆ Transpose()

FbxAMatrix Transpose ( ) const

Calculate the matrix transpose.

Returns: The transposed matrix of this.

◆ Slerp()

FbxAMatrix Slerp	(	const FbxAMatrix &	pOther,
		double	pWeight
	)		const

Calculate a spherical linear interpolation matrix.

Parameters

pOther	The other rotation matrix to interpolate with.
pWeight	A value between 0.0 and 1.0 to specify the interpolation amount.

Remarks: This matrix and other matrix should contain only rotations, otherwise result may be undefined.

◆ operator==()

bool operator== ( const FbxAMatrix & pOther ) const

Equivalence operator.

Parameters

pOther The matrix to be compared to this.

Returns: true if the two matrices are equal (each element is within a FBXSDK_TOLERANCE tolerance) and false otherwise.

◆ operator!=()

bool operator!= ( const FbxAMatrix & pOther ) const

Non-equivalence operator.

Parameters

pOther The matrix to be compared to this.

Returns: false if the two matrices are equal (each element is within a FBXSDK_TOLERANCE tolerance) and true otherwise.

◆ operator double *()

operator double * ( )

Cast the matrix in a double pointer.

◆ operator const double *()

operator const double * ( ) const

Cast the matrix in a const double pointer.

◆ Double44()

kDouble44& Double44 ( ) const

inline

Cast the matrix in a reference to a 4*4 array.

Definition at line 305 of file fbxaffinematrix.h.

305 { return *((kDouble44 *)&mData[0][0]); }

FbxVectorTemplate4::mData

T mData[4]

Definition: fbxtypes.h:254

◆ IsIdentity()

bool IsIdentity ( const double pThreshold = (1.0e-6) )

Find out if the matrix is equal to identity matrix.

Returns: true if the matrix is equal to identity matrix, false otherwise.

The documentation for this class was generated from the following file:

fbxsdk/core/math/fbxaffinematrix.h

Class Description

Public Member Functions

Constructors and Destructor

Access

Scalar Operations

Vector Operations

Matrix Operations

Boolean Operations

Casting

Additional Inherited Members

Member Typedef Documentation

◆ double

Constructor & Destructor Documentation

◆ FbxAMatrix() [1/3]

◆ FbxAMatrix() [2/3]

◆ FbxAMatrix() [3/3]

◆ ~FbxAMatrix()

Member Function Documentation

◆ Get()

◆ GetT()

◆ GetR()

◆ GetQ()

◆ GetS()

◆ GetRow()

◆ GetColumn()

◆ SetIdentity()

◆ SetT()

◆ SetR()

◆ SetQ()

◆ SetS()

◆ SetTRS()

◆ SetTQS()

◆ operator=()

◆ operator*() [1/2]

◆ operator/()

◆ operator*=() [1/2]

◆ operator/=()

◆ MultT()

◆ MultR()

◆ MultQ()

◆ MultS()

◆ operator-()

◆ operator*() [2/2]

◆ operator*=() [2/2]

◆ Inverse()

◆ Transpose()

◆ Slerp()

◆ operator==()

◆ operator!=()

◆ operator double *()

◆ operator const double *()

◆ Double44()

◆ IsIdentity()