Class for the 4x4 matrix. More...

Inherits QObject, and CGoeMatricePlan.

Public Member Functions
	GO2SMatrix ()
	Create the identity matrix.

	GO2SMatrix (GO2SXYZ vect)
	see GO2SMatrix.DefineFromVector

	GO2SMatrix (GO2SXYZ Vx, GO2SXYZ Vy, GO2SXYZ Vz, GO2SXYZ Vc)
	Create a matrix from 4 vectors (x, y, z axis and position)

	GO2SMatrix (Number destination, Number source)
	Create a matrix defining the transformation from a plane to another.

GO2SEnum::GO2SError	DefineCenteredSymmetry2D (GO2SXYZ centre, GO2SXYZ NormalPlane=new GO2SXYZ(0, 0, 1))

GO2SEnum::GO2SError	DefineCenteredSymmetry3D (GO2SXYZ centre)

GO2SEnum::GO2SError	DefineFromVector (GO2SXYZ thisVector)

GO2SEnum::GO2SError	DefineFromVectorAndOrigin (GO2SXYZ thisVector, GO2SXYZ origin)

void	DefineIdentity ()
	Initialize to identity matrix.

GO2SEnum::GO2SError	DefineRotation (GO2SXYZ axe, Number ang)

GO2SEnum::GO2SError	DefineRotation (GO2SXYZ centre, GO2SXYZ axe, Number ang)

void	DefineRotationX (Number ang)
	Define a rotation around X axis.

void	DefineRotationY (Number ang)
	Define a rotation around Y axis.

void	DefineRotationZ (Number ang)
	Define a rotation around Z axis.

void	DefineRotationZYX (Number angZ, Number angY, Number angX)

GO2SEnum::GO2SError	DefineSymmetry (GO2SXYZ centre, GO2SXYZ TransAxe, GO2SXYZ NormalAxe=new GO2SXYZ(0, 0, 1))

GO2SEnum::GO2SError	DefineSymmetryByPlane (GO2SXYZ centre, GO2SXYZ NormalPlane)

GO2SEnum::GO2SError	DefineTransferVector (GO2SXYZ vecFrom, GO2SXYZ vecTo, GO2SXYZ oriFrom, GO2SXYZ oriTo, GO2SXYZ refFrom, GO2SXYZ refTo)

GO2SEnum::GO2SError	DefineTranslation (GO2SXYZ tr)

Number	Determinant ()

GO2SMatrix	GetComatrix ()

GO2SEnum::GO2SError	Invert ()

GO2SMatrix	Inverted ()

Boolean	IsIdentity ()

Boolean	IsInvertible ()

Boolean	IsSingular ()

GO2SMatrix	Multiply (GO2SMatrix other)
	Get the result of the multiplication of two matrix.

GO2SXYZ	MultiplyPoint (GO2SXYZ xyz)
	Apply the matrix to xyz, considering xyz is a point.

GO2SXYZ	MultiplyVector (GO2SXYZ xyz)
	Apply the matrix to xyz, considering xyz is a vector.

GO2SXYZ	Origin ()

GO2SEnum::GO2SError	SetOrigin (GO2SXYZ po)

GO2SEnum::GO2SError	SetXaxis (GO2SXYZ ax)

GO2SEnum::GO2SError	SetYaxis (GO2SXYZ ay)

GO2SEnum::GO2SError	SetZaxis (GO2SXYZ az)

GO2SEnum::GO2SError	Translate (GO2SXYZ vect)

void	Transpose ()
	Transpose the matrix.

GO2SMatrix	Transposed ()

GO2SXYZ	XAxis ()

GO2SXYZ	YAxis ()

GO2SXYZ	ZAxis ()

Detailed Description

Class for the 4x4 matrix.

Constructor & Destructor Documentation

◆ GO2SMatrix() [1/2]

GO2SMatrix::GO2SMatrix	(	Number	destination,
		Number	source )

inline

Create a matrix defining the transformation from a plane to another.

Parameters

[in]	destination	destination plane
[in]	source	source plane

◆ GO2SMatrix() [2/2]

GO2SMatrix::GO2SMatrix	(	GO2SXYZ	Vx,
		GO2SXYZ	Vy,
		GO2SXYZ	Vz,
		GO2SXYZ	Vc )

Create a matrix from 4 vectors (x, y, z axis and position)

Parameters

[in]	Vx	1st column (x axis)
[in]	Vy	2nd column (y axis)
[in]	Vz	3rd column (z axis)
[in]	Vc	4th column (position)

Member Function Documentation

◆ DefineCenteredSymmetry2D()

GO2SEnum::GO2SError GO2SMatrix::DefineCenteredSymmetry2D	(	GO2SXYZ	centre,
		GO2SXYZ	NormalPlane = new GO2SXYZ(0, 0, 1) )

Define a centered symetry in 2D

Returns: GO2SError.success if success, see GO2SError otherwise

Parameters

[in]	centre	Center of symmetry
[in]	NormalPlane	visual direction ( would be Z)

◆ DefineCenteredSymmetry3D()

GO2SEnum::GO2SError GO2SMatrix::DefineCenteredSymmetry3D ( GO2SXYZ centre )

Define a centered symetry in 3D

Returns: GO2SError.success if success, see GO2SError otherwise

Parameters

[in] centre Center of symmetry

◆ DefineFromVector()

GO2SEnum::GO2SError GO2SMatrix::DefineFromVector ( GO2SXYZ thisVector )

Define a matrix with Z vector equal to thisVector, X and Y vectors are created automatically

Returns: GO2SError.success if success, see GO2SError otherwise

Parameters

[in] thisVector z vector on which align Z of the plane

◆ DefineFromVectorAndOrigin()

GO2SEnum::GO2SError GO2SMatrix::DefineFromVectorAndOrigin	(	GO2SXYZ	thisVector,
		GO2SXYZ	origin )

Define a matrix using origin with Z vector equal to thisVector, X and Y vectors are created automatically

Returns: GO2SError.success if success, see GO2SError otherwise

Parameters

[in]	thisVector	z vector on which align Z of the plane
[in]	origin	new origin of the plane

◆ DefineRotation() [1/2]

GO2SEnum::GO2SError GO2SMatrix::DefineRotation	(	GO2SXYZ	axe,
		Number	ang )

Define a rotation around a given axis. The angle is given in radian

Returns: GO2SError.success if success, see GO2SError otherwise

Parameters

[in]	axe	Rotation axis
[in]	ang	Rotation angle in radian

◆ DefineRotation() [2/2]

GO2SEnum::GO2SError GO2SMatrix::DefineRotation	(	GO2SXYZ	centre,
		GO2SXYZ	axe,
		Number	ang )

Define a rotation around given point and axis. The angle is given in radian

Returns: GO2SError.success if success, see GO2SError otherwise

Parameters

[in]	centre	Position of the rotation axis
[in]	axe	Rotation axis
[in]	ang	Rotation angle in radian

◆ DefineRotationX()

void GO2SMatrix::DefineRotationX ( Number ang )

inline

Define a rotation around X axis.

Parameters

[in] ang The angle in radian

◆ DefineRotationY()

void GO2SMatrix::DefineRotationY ( Number ang )

inline

Define a rotation around Y axis.

Parameters

[in] ang The angle in radian

◆ DefineRotationZ()

void GO2SMatrix::DefineRotationZ ( Number ang )

inline

Define a rotation around Z axis.

Parameters

[in] ang The angle in radian

◆ DefineRotationZYX()

void GO2SMatrix::DefineRotationZYX	(	Number	angZ,
		Number	angY,
		Number	angX )

inline

Define a rotation around the 3 axis. The rotation is done around X, then around Y, then around Z (R = RzRyRx). Angles are given in radian

Parameters

[in]	angZ	angle around Z axis in radian
[in]	angY	angle around y axis in radian
[in]	angX	angle around X axis in radian

◆ DefineSymmetry()

GO2SEnum::GO2SError GO2SMatrix::DefineSymmetry	(	GO2SXYZ	centre,
		GO2SXYZ	TransAxe,
		GO2SXYZ	NormalAxe = new GO2SXYZ(0, 0, 1) )

Define a symmetry according to the face plane given

Returns: GO2SError.success if success, see GO2SError otherwise

Parameters

[in]	centre	Position of the symmetry plane
[in]	TransAxe	Axe of the plane (would be the ovious 2D)
[in]	NormalAxe	Other axe of the plane, visual direction ( would be Z)

◆ DefineSymmetryByPlane()

GO2SEnum::GO2SError GO2SMatrix::DefineSymmetryByPlane	(	GO2SXYZ	centre,
		GO2SXYZ	NormalPlane )

Define a symmetry according to the face plane given

Returns: GO2SError.success if success, see GO2SError otherwise

Parameters

[in]	centre	Position of the symmetry plane
[in]	NormalPlane	Normal to the plane, visual direction ( would be Z)

◆ DefineTransferVector()

GO2SEnum::GO2SError GO2SMatrix::DefineTransferVector	(	GO2SXYZ	vecFrom,
		GO2SXYZ	vecTo,
		GO2SXYZ	oriFrom,
		GO2SXYZ	oriTo,
		GO2SXYZ	refFrom,
		GO2SXYZ	refTo )

Define a transformation matrix that aligns a vectors and positions

Returns: GO2SError.success if success, see GO2SError otherwise

Parameters

[in]	vecFrom	destination vector for vecTo
[in]	vecTo	vector that will be aligned on vecFrom
[in]	oriFrom	destination position
[in]	oriTo	original position
[in]	refFrom	destination vector for refTo
[in]	refTo	vector that will be aligned on refFrom

◆ DefineTranslation()

GO2SEnum::GO2SError GO2SMatrix::DefineTranslation ( GO2SXYZ tr )

Define a translation matrix (the rotation part is set to identity)

Returns: GO2SError.success if success, see GO2SError otherwise

Parameters

[in] tr translation vector

◆ Determinant()

Number GO2SMatrix::Determinant ( )

inline

Returns: the determinant of the matrix

◆ GetComatrix()

GO2SMatrix GO2SMatrix::GetComatrix ( )

inline

Returns: the comatrix

◆ Invert()

GO2SEnum::GO2SError GO2SMatrix::Invert ( )

Invert the matrix if invertible

Returns: GO2SError.success if the matrix is inverted, see GO2SError otherwise

◆ Inverted()

GO2SMatrix GO2SMatrix::Inverted ( )

inline

Returns: the inverted matrix if is invertible, null otherwise

◆ IsIdentity()

Boolean GO2SMatrix::IsIdentity ( )

inline

Returns: if the matrix is identity

◆ IsInvertible()

Boolean GO2SMatrix::IsInvertible ( )

inline

Returns: if the matrix is invertible

◆ IsSingular()

Boolean GO2SMatrix::IsSingular ( )

inline

Returns: if the matrix is singular

◆ Multiply()

GO2SMatrix GO2SMatrix::Multiply ( GO2SMatrix other )

inline

Get the result of the multiplication of two matrix.

Parameters

[in] other the second matrix

◆ MultiplyPoint()

GO2SXYZ GO2SMatrix::MultiplyPoint ( GO2SXYZ xyz )

inline

Apply the matrix to xyz, considering xyz is a point.

Parameters

[in] xyz the point

◆ MultiplyVector()

GO2SXYZ GO2SMatrix::MultiplyVector ( GO2SXYZ xyz )

inline

Apply the matrix to xyz, considering xyz is a vector.

Parameters

[in] xyz the vector

◆ Origin()

GO2SXYZ GO2SMatrix::Origin ( )

inline

Returns: the 4th column

◆ SetOrigin()

GO2SEnum::GO2SError GO2SMatrix::SetOrigin ( GO2SXYZ po )

Set the translation vector (last column) of the matrix. Other values are unchanged.

Returns: GO2SError.success if success, see GO2SError otherwise

Parameters

[in] po new origin

◆ SetXaxis()

GO2SEnum::GO2SError GO2SMatrix::SetXaxis ( GO2SXYZ ax )

Set the X vector (1st column) of the matrix. Other values are unchanged.

Returns: GO2SError.success if success, see GO2SError otherwise

Parameters

[in] ax new X axis

◆ SetYaxis()

GO2SEnum::GO2SError GO2SMatrix::SetYaxis ( GO2SXYZ ay )

Set the Y vector (2nd column) of the matrix. Other values are unchanged.

Returns: GO2SError.success if success, see GO2SError otherwise

Parameters

[in] ay new Y axis

◆ SetZaxis()

GO2SEnum::GO2SError GO2SMatrix::SetZaxis ( GO2SXYZ az )

Set the Z vector (3rd column) of the matrix. Other values are unchanged.

Returns: GO2SError.success if success, see GO2SError otherwise

Parameters

[in] az new Z axis

◆ Translate()

GO2SEnum::GO2SError GO2SMatrix::Translate ( GO2SXYZ vect )

Apply a translation to the matrix

Returns: GO2SError.success if success, see GO2SError otherwise

Parameters

[in] vect translation vector

◆ Transposed()

GO2SMatrix GO2SMatrix::Transposed ( )

inline

Returns: a new matrix that is the transposed of the current matrix

◆ XAxis()

GO2SXYZ GO2SMatrix::XAxis ( )

inline

Returns: the 1st column

◆ YAxis()

GO2SXYZ GO2SMatrix::YAxis ( )

inline

Returns: the 2nd column

◆ ZAxis()

GO2SXYZ GO2SMatrix::ZAxis ( )

inline

Returns: the 3rd column

Public Member Functions

Detailed Description

Constructor & Destructor Documentation

◆ GO2SMatrix() [1/2]

◆ GO2SMatrix() [2/2]

Member Function Documentation

◆ DefineCenteredSymmetry2D()

◆ DefineCenteredSymmetry3D()

◆ DefineFromVector()

◆ DefineFromVectorAndOrigin()

◆ DefineRotation() [1/2]

◆ DefineRotation() [2/2]

◆ DefineRotationX()

◆ DefineRotationY()

◆ DefineRotationZ()

◆ DefineRotationZYX()

◆ DefineSymmetry()

◆ DefineSymmetryByPlane()

◆ DefineTransferVector()

◆ DefineTranslation()

◆ Determinant()

◆ GetComatrix()

◆ Invert()

◆ Inverted()

◆ IsIdentity()

◆ IsInvertible()

◆ IsSingular()

◆ Multiply()

◆ MultiplyPoint()

◆ MultiplyVector()

◆ Origin()

◆ SetOrigin()

◆ SetXaxis()

◆ SetYaxis()

◆ SetZaxis()

◆ Translate()

◆ Transposed()

◆ XAxis()

◆ YAxis()

◆ ZAxis()