3D-matrix definition. More...

#include <CMatrix3d.h>

Inheritance diagram for i3d::CMatrix3d:

Collaboration diagram for i3d::CMatrix3d:

Public Types
typedef imath::TMatrix< 3, 3 >	BaseClass

Public Types inherited from imath::TMatrix< 3, 3 >
enum	MatrixInitMode

typedef istd::CIndex2d	IndexType

typedef istd::CIndex2d	SizesType

typedef double	ElementType

typedef imath::TVector< Height, double >	ColumnVector

typedef imath::TVector< Width, double >	RowVector

Public Member Functions
	CMatrix3d ()
	Constructor with no member initialization.

	CMatrix3d (const CMatrix3d &transform)

	CMatrix3d (const CVector3d &axisX, const CVector3d &axisY, const CVector3d &axisZ)
	Constructor using 3 vectors to span the transformation space.

	CMatrix3d (double m11, double m12, double m13, double m21, double m22, double m23, double m31, double m32, double m33)
	Constructor using matrix members.

void	Reset ()
	Default reset to identity.

CVector3d	GetMultiplied (const CVector3d &position) const

CMatrix3d	GetMultiplied (const CMatrix3d &matrix) const

void	Multiply (const CMatrix3d &matrix)

void	MultiplyLeft (const CMatrix3d &matrix)

CVector3d	GetAxisX () const
	Get axis X vector.

CVector3d	GetAxisY () const
	Get axis Y vector.

CVector3d	GetAxisZ () const
	Get axis Z vector.

CVector3d	GetAxesLengths () const
	Get lengths of axes vectors.

void	GetAxesLengths (CVector3d &result) const
	Get lengths of axes vectors.

i3d::CVector3d	GetInvMultiplied (const i3d::CVector3d &position) const
	Inverted operation to GetApply().

bool	GetInvMultiplied (const i3d::CVector3d &position, i3d::CVector3d &result) const
	Inverted operation to GetApply().

CMatrix3d	GetInverted () const
	Calculate inverted matrix.

bool	GetInverted (CMatrix3d &result) const
	Calculate inverted matrix.

CMatrix3d	GetTransposed () const
	Calculate transposed matrix.

double	GetDet () const
	Calculate determinant of deformation matrix.

CMatrix3d &	operator= (const CMatrix3d &matrix)
	Copy operator.

CMatrix3d	operator* (double scale) const
	Multiplication by scalar number.

CMatrix3d	operator/ (double scale) const
	Division by scalar number.

Public Member Functions inherited from imath::TMatrix< 3, 3 >
	TMatrix ()
	Create matrix without initialization.

	TMatrix (MatrixInitMode mode)
	Create matrix with initialization to some specified one.

	TMatrix (const TMatrix &matrix)
	Copy constructor.

void	Reset ()
	Set all matrix cells to zero.

void	Clear ()
	Set all matrix cells to zero.

bool	IsDimensionsCountFixed () const
	Check, if number dimensions is fixed.

int	GetDimensionsCount () const
	Get number of dimensions of this array.

bool	SetDimensionsCount (int count)
	Set number of dimensions of this array.

const SizesType &	GetSizes () const
	Get list of all sizes.

bool	SetSizes (const SizesType &sizes)
	Set list of all sizes.

int	GetSize (int dimension) const
	Get size of array for specified dimension.

bool	SetSize (int dimension, int size)
	Set size of array for specified dimension.

const ElementType &	GetAt (const IndexType &index) const
	Get element stored at specified index.

const ElementType &	GetAt (int x, int y) const
	Get element stored at specified index.

ElementType &	GetAtRef (const IndexType &index)
	Get reference to element stored at specified index.

ElementType &	GetAtRef (int x, int y)
	Get reference to element stored at specified index.

void	SetAt (const IndexType &index, const ElementType &value)
	Set element at specified index.

void	SetAt (int x, int y, const ElementType &value)
	Set element at specified index.

void	InitToIdentity ()
	Create identity matrix.

double	GetMaxElement () const

double	GetMinElement () const

void	GetNegated (TMatrix< Width, Height, double > &result)
	Get result matrix with negated all elements.

void	GetAdded (const TMatrix< Width, Height, double > &matrix, TMatrix< Width, Height, double > &result) const
	Get sum of two matrices.

void	GetSubstracted (const TMatrix< Width, Height, double > &matrix, TMatrix< Width, Height, double > &result) const
	Get result of substraction of two matrices.

void	GetMultiplied (const TMatrix< SecondWidth, Width, double > &matrix, TMatrix< SecondWidth, Height, double > &result) const
	Get result of multiplication of two matrices.

TMatrix< SecondWidth, Height, double >	GetMultiplied (const TMatrix< SecondWidth, Width, double > &matrix) const
	Get result of multiplication of two matrices.

void	GetMultiplied (const TVector< Width, double > &vector, TVector< Height, double > &result) const
	Get result of multiplication of this matrix and some vector.

TVector< Height, double >	GetMultiplied (const TVector< Width, double > &vector) const
	Get result of multiplication of this matrix and some vector.

void	GetScaled (double value, TMatrix< Width, Height, double > &result) const
	Get result of multiplication of this matrix with scalar value.

void	GetTransposed (TMatrix< Height, Width, double > &result) const
	Get transposed matrix.

TMatrix< Height, Width, double >	GetTransposed () const
	Get transposed matrix.

void	Transpose ()
	Transpose matrix.

double	GetTrace () const
	Get trace of this matrix.

double	GetFrobeniusNorm2 () const

double	GetFrobeniusNorm () const

bool	GetTriangleDecomposed (TMatrix< Width, Height, double > &result, TMatrix< Height, Height, double > *matrixQPtr=nullptr, int maxColumns=-1, double minHhNorm=I_BIG_EPSILON) const
	Transform matrix to upper triangle form using method of Householder reflexions.

bool	GetDecompositionQDQ (TMatrix< Height, Height, double > &matrixQ, TVector< Height, double > &diagonalD, double tolerance=I_BIG_EPSILON, int maxIterations=100) const
	Calculate decomposition in form of QDQ where `Q` is orthogonal matrix and `D` is diagonal one.

void	GetColumnVector (int columnIndex, TVector< Height, double > &result) const
	Get single column as vector.

void	SetColumnVector (int columnIndex, const TVector< Height, double > &columnVector)
	Set a single column vector to matrix.

void	GetRowVector (int rowIndex, TVector< Width, double > &result)
	Get single row as vector.

bool	Serialize (iser::IArchive &archive)

TMatrix< Width, Height, double >	operator+ (const TMatrix< Width, Height, double > &matrix) const

TMatrix< Width, Height, double >	operator- (const TMatrix< Width, Height, double > &matrix) const

TMatrix< Width, Height, double >	operator- ()

TMatrix< SecondWidth, Height, double >	operator* (const TMatrix< SecondWidth, Width, double > &matrix) const

TMatrix< Width, Height, double >	operator* (double value) const

TMatrix< Width, Height, double > &	operator+= (const TMatrix< Width, Height, double > &matrix)

TMatrix< Width, Height, double > &	operator-= (const TMatrix< Width, Height, double > &matrix)

TMatrix< Width, Height, double > &	operator*= (double value)

bool	operator== (const TMatrix< Width, Height, double > &matrix) const

bool	operator!= (const TMatrix< Width, Height, double > &matrix) const

const ElementType &	operator[] (const IndexType &index) const

ElementType &	operator[] (const IndexType &index)

Static Public Member Functions
static const CMatrix3d &	GetIdentity ()

Detailed Description

3D-matrix definition.

Definition at line 21 of file CMatrix3d.h.

Member Typedef Documentation

◆ BaseClass

imath::TMatrix<3, 3> i3d::CMatrix3d::BaseClass

Definition at line 24 of file CMatrix3d.h.

Constructor & Destructor Documentation

◆ CMatrix3d() [1/4]

i3d::CMatrix3d::CMatrix3d ( )

inline

Constructor with no member initialization.

Definition at line 138 of file CMatrix3d.h.

Referenced by GetTransposed(), and operator/().

◆ CMatrix3d() [2/4]

i3d::CMatrix3d::CMatrix3d ( const CMatrix3d & transform )

inline

Definition at line 143 of file CMatrix3d.h.

◆ CMatrix3d() [3/4]

i3d::CMatrix3d::CMatrix3d	(	const CVector3d &	axisX,
		const CVector3d &	axisY,
		const CVector3d &	axisZ )

inline

Constructor using 3 vectors to span the transformation space.

Definition at line 149 of file CMatrix3d.h.

References imath::TMatrix< 3, 3 >::SetAt().

◆ CMatrix3d() [4/4]

i3d::CMatrix3d::CMatrix3d	(	double	m11,
		double	m12,
		double	m13,
		double	m21,
		double	m22,
		double	m23,
		double	m31,
		double	m32,
		double	m33 )

inline

Constructor using matrix members.

Definition at line 166 of file CMatrix3d.h.

References imath::TMatrix< 3, 3 >::SetAt().

Member Function Documentation

◆ GetAxesLengths() [1/2]

CVector3d i3d::CMatrix3d::GetAxesLengths ( ) const

inline

Get lengths of axes vectors.

Definition at line 220 of file CMatrix3d.h.

References GetAxesLengths().

Referenced by GetAxesLengths().

◆ GetAxesLengths() [2/2]

void i3d::CMatrix3d::GetAxesLengths ( CVector3d & result ) const

inline

Get lengths of axes vectors.

Definition at line 230 of file CMatrix3d.h.

References GetAxisX(), GetAxisY(), GetAxisZ(), i3d::CVector3d::SetX(), i3d::CVector3d::SetY(), and i3d::CVector3d::SetZ().

◆ GetAxisX()

CVector3d i3d::CMatrix3d::GetAxisX ( ) const

inline

Get axis X vector.

Definition at line 203 of file CMatrix3d.h.

References imath::TMatrix< 3, 3 >::GetAt().

Referenced by GetAxesLengths().

◆ GetAxisY()

CVector3d i3d::CMatrix3d::GetAxisY ( ) const

inline

Get axis Y vector.

Definition at line 209 of file CMatrix3d.h.

References imath::TMatrix< 3, 3 >::GetAt().

Referenced by GetAxesLengths().

◆ GetAxisZ()

CVector3d i3d::CMatrix3d::GetAxisZ ( ) const

inline

Get axis Z vector.

Definition at line 214 of file CMatrix3d.h.

References imath::TMatrix< 3, 3 >::GetAt().

Referenced by GetAxesLengths().

◆ GetDet()

double i3d::CMatrix3d::GetDet ( ) const

inline

Calculate determinant of deformation matrix.

Definition at line 256 of file CMatrix3d.h.

References imath::TMatrix< 3, 3 >::GetAt().

◆ GetIdentity()

const CMatrix3d & i3d::CMatrix3d::GetIdentity ( )

inlinestatic

Definition at line 303 of file CMatrix3d.h.

◆ GetInverted() [1/2]

CMatrix3d i3d::CMatrix3d::GetInverted ( ) const

inline

Calculate inverted matrix.

Definition at line 238 of file CMatrix3d.h.

References GetInverted().

Referenced by GetInverted().

◆ GetInverted() [2/2]

bool i3d::CMatrix3d::GetInverted ( CMatrix3d & result ) const

Calculate inverted matrix.

◆ GetInvMultiplied() [1/2]

i3d::CVector3d i3d::CMatrix3d::GetInvMultiplied ( const i3d::CVector3d & position ) const

Inverted operation to GetApply().

◆ GetInvMultiplied() [2/2]

bool i3d::CMatrix3d::GetInvMultiplied	(	const i3d::CVector3d &	position,
		i3d::CVector3d &	result ) const

Inverted operation to GetApply().

◆ GetMultiplied() [1/2]

CMatrix3d i3d::CMatrix3d::GetMultiplied ( const CMatrix3d & matrix ) const

inline

Definition at line 193 of file CMatrix3d.h.

References GetMultiplied().

◆ GetMultiplied() [2/2]

CVector3d i3d::CMatrix3d::GetMultiplied ( const CVector3d & position ) const

inline

Definition at line 183 of file CMatrix3d.h.

References GetMultiplied().

Referenced by GetMultiplied(), and GetMultiplied().

◆ GetTransposed()

CMatrix3d i3d::CMatrix3d::GetTransposed ( ) const

inline

Calculate transposed matrix.

Definition at line 248 of file CMatrix3d.h.

References CMatrix3d(), and imath::TMatrix< 3, 3 >::GetAt().

◆ Multiply()

void i3d::CMatrix3d::Multiply ( const CMatrix3d & matrix )

◆ MultiplyLeft()

void i3d::CMatrix3d::MultiplyLeft ( const CMatrix3d & matrix )

◆ operator*()

CMatrix3d i3d::CMatrix3d::operator* ( double scale ) const

inline

Multiplication by scalar number.

Definition at line 277 of file CMatrix3d.h.

References imath::TMatrix< 3, 3 >::GetScaled().

◆ operator/()

CMatrix3d i3d::CMatrix3d::operator/ ( double scale ) const

inline

Division by scalar number.

Definition at line 287 of file CMatrix3d.h.

References CMatrix3d(), and imath::TMatrix< 3, 3 >::GetAt().

◆ operator=()

CMatrix3d & i3d::CMatrix3d::operator= ( const CMatrix3d & matrix )

inline

Copy operator.

Definition at line 269 of file CMatrix3d.h.

◆ Reset()

void i3d::CMatrix3d::Reset ( )

Default reset to identity.

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

i3d/CMatrix3d.h

Public Types

Public Member Functions

Static Public Member Functions

Detailed Description

Member Typedef Documentation

◆ BaseClass

Constructor & Destructor Documentation

◆ CMatrix3d() [1/4]

◆ CMatrix3d() [2/4]

◆ CMatrix3d() [3/4]

◆ CMatrix3d() [4/4]

Member Function Documentation

◆ GetAxesLengths() [1/2]

◆ GetAxesLengths() [2/2]

◆ GetAxisX()

◆ GetAxisY()

◆ GetAxisZ()

◆ GetDet()

◆ GetIdentity()

◆ GetInverted() [1/2]

◆ GetInverted() [2/2]

◆ GetInvMultiplied() [1/2]

◆ GetInvMultiplied() [2/2]

◆ GetMultiplied() [1/2]

◆ GetMultiplied() [2/2]

◆ GetTransposed()

◆ Multiply()

◆ MultiplyLeft()

◆ operator*()

◆ operator/()

◆ operator=()

◆ Reset()