Describes a two column, two row matrix. This sort of object is used in various vectorial or matrix computations. More...

#include <gp_Mat2d.hxx>

Public Member Functions
	gp_Mat2d ()
	Creates a matrix with null coefficients. More...

	gp_Mat2d (const gp_XY &Col1, const gp_XY &Col2)
	Col1, Col2 are the 2 columns of the matrix. More...

void	SetCol (const Standard_Integer Col, const gp_XY &Value)
	Assigns the two coordinates of Value to the column of range Col of this matrix Raises OutOfRange if Col < 1 or Col > 2. More...

void	SetCols (const gp_XY &Col1, const gp_XY &Col2)
	Assigns the number pairs Col1, Col2 to the two columns of this matrix. More...

void	SetDiagonal (const Standard_Real X1, const Standard_Real X2)
	Modifies the main diagonal of the matrix. <me>.Value (1, 1) = X1 <me>.Value (2, 2) = X2 The other coefficients of the matrix are not modified. More...

void	SetIdentity ()
	Modifies this matrix, so that it represents the Identity matrix. More...

void	SetRotation (const Standard_Real Ang)
	Modifies this matrix, so that it representso a rotation. Ang is the angular value in radian of the rotation. More...

void	SetRow (const Standard_Integer Row, const gp_XY &Value)
	Assigns the two coordinates of Value to the row of index Row of this matrix. Raises OutOfRange if Row < 1 or Row > 2. More...

void	SetRows (const gp_XY &Row1, const gp_XY &Row2)
	Assigns the number pairs Row1, Row2 to the two rows of this matrix. More...

void	SetScale (const Standard_Real S)
	Modifies the matrix such that it represents a scaling transformation, where S is the scale factor : \| S 0.0 \| <me> = \| 0.0 S \|. More...

void	SetValue (const Standard_Integer Row, const Standard_Integer Col, const Standard_Real Value)
	Assigns to the coefficient of row Row, column Col of this matrix. Raises OutOfRange if Row < 1 or Row > 2 or Col < 1 or Col > 2. More...

gp_XY	Column (const Standard_Integer Col) const
	Returns the column of Col index. Raises OutOfRange if Col < 1 or Col > 2. More...

Standard_Real	Determinant () const
	Computes the determinant of the matrix. More...

gp_XY	Diagonal () const
	Returns the main diagonal of the matrix. More...

gp_XY	Row (const Standard_Integer Row) const
	Returns the row of index Row. Raised if Row < 1 or Row > 2. More...

const Standard_Real &	Value (const Standard_Integer Row, const Standard_Integer Col) const
	Returns the coefficient of range (Row, Col) Raises OutOfRange if Row < 1 or Row > 2 or Col < 1 or Col > 2. More...

const Standard_Real &	operator() (const Standard_Integer Row, const Standard_Integer Col) const

Standard_Real &	ChangeValue (const Standard_Integer Row, const Standard_Integer Col)
	Returns the coefficient of range (Row, Col) Raises OutOfRange if Row < 1 or Row > 2 or Col < 1 or Col > 2. More...

Standard_Real &	operator() (const Standard_Integer Row, const Standard_Integer Col)

Standard_Boolean	IsSingular () const
	Returns true if this matrix is singular (and therefore, cannot be inverted). The Gauss LU decomposition is used to invert the matrix so the matrix is considered as singular if the largest pivot found is lower or equal to Resolution from gp. More...

void	Add (const gp_Mat2d &Other)

void	operator+= (const gp_Mat2d &Other)

gp_Mat2d	Added (const gp_Mat2d &Other) const
	Computes the sum of this matrix and the matrix Other.for each coefficient of the matrix : <me>.Coef(i,j) + <Other>.Coef(i,j) Note: More...

gp_Mat2d	operator+ (const gp_Mat2d &Other) const

void	Divide (const Standard_Real Scalar)

void	operator/= (const Standard_Real Scalar)

gp_Mat2d	Divided (const Standard_Real Scalar) const
	Divides all the coefficients of the matrix by a scalar. More...

gp_Mat2d	operator/ (const Standard_Real Scalar) const

void	Invert ()

gp_Mat2d	Inverted () const
	Inverses the matrix and raises exception if the matrix is singular. More...

gp_Mat2d	Multiplied (const gp_Mat2d &Other) const

gp_Mat2d	operator* (const gp_Mat2d &Other) const

void	Multiply (const gp_Mat2d &Other)
	Computes the product of two matrices <me> * <Other> More...

void	PreMultiply (const gp_Mat2d &Other)
	Modifies this matrix by premultiplying it by the matrix Other <me> = Other * <me>. More...

gp_Mat2d	Multiplied (const Standard_Real Scalar) const

gp_Mat2d	operator* (const Standard_Real Scalar) const

void	Multiply (const Standard_Real Scalar)
	Multiplies all the coefficients of the matrix by a scalar. More...

void	operator*= (const Standard_Real Scalar)

void	Power (const Standard_Integer N)

gp_Mat2d	Powered (const Standard_Integer N) const
	computes <me> = <me> * <me> * .......* <me>, N time. if N = 0 <me> = Identity if N < 0 <me> = <me>.Invert() ........... <me>.Invert(). If N < 0 an exception can be raised if the matrix is not inversible More...

void	Subtract (const gp_Mat2d &Other)

void	operator-= (const gp_Mat2d &Other)

gp_Mat2d	Subtracted (const gp_Mat2d &Other) const
	Computes for each coefficient of the matrix : <me>.Coef(i,j) - <Other>.Coef(i,j) More...

gp_Mat2d	operator- (const gp_Mat2d &Other) const

void	Transpose ()

gp_Mat2d	Transposed () const
	Transposes the matrix. A(j, i) -> A (i, j) More...

Detailed Description

Describes a two column, two row matrix. This sort of object is used in various vectorial or matrix computations.

Constructor & Destructor Documentation

gp_Mat2d::gp_Mat2d ( )

Creates a matrix with null coefficients.

gp_Mat2d::gp_Mat2d	(	const gp_XY &	Col1,
		const gp_XY &	Col2
	)

Col1, Col2 are the 2 columns of the matrix.

Member Function Documentation

void gp_Mat2d::Add ( const gp_Mat2d & Other )

gp_Mat2d gp_Mat2d::Added ( const gp_Mat2d & Other ) const

Computes the sum of this matrix and the matrix Other.for each coefficient of the matrix : <me>.Coef(i,j) + <Other>.Coef(i,j) Note:

operator += assigns the result to this matrix, while
operator + creates a new one.

Standard_Real& gp_Mat2d::ChangeValue	(	const Standard_Integer	Row,
		const Standard_Integer	Col
	)

Returns the coefficient of range (Row, Col) Raises OutOfRange if Row < 1 or Row > 2 or Col < 1 or Col > 2.

gp_XY gp_Mat2d::Column ( const Standard_Integer Col ) const

Returns the column of Col index. Raises OutOfRange if Col < 1 or Col > 2.

Standard_Real gp_Mat2d::Determinant ( ) const

Computes the determinant of the matrix.

gp_XY gp_Mat2d::Diagonal ( ) const

Returns the main diagonal of the matrix.

void gp_Mat2d::Divide ( const Standard_Real Scalar )

gp_Mat2d gp_Mat2d::Divided ( const Standard_Real Scalar ) const

Divides all the coefficients of the matrix by a scalar.

void gp_Mat2d::Invert ( )

gp_Mat2d gp_Mat2d::Inverted ( ) const

Inverses the matrix and raises exception if the matrix is singular.

Standard_Boolean gp_Mat2d::IsSingular ( ) const

Returns true if this matrix is singular (and therefore, cannot be inverted). The Gauss LU decomposition is used to invert the matrix so the matrix is considered as singular if the largest pivot found is lower or equal to Resolution from gp.

gp_Mat2d gp_Mat2d::Multiplied ( const gp_Mat2d & Other ) const

gp_Mat2d gp_Mat2d::Multiplied ( const Standard_Real Scalar ) const

void gp_Mat2d::Multiply ( const gp_Mat2d & Other )

Computes the product of two matrices <me> * <Other>

void gp_Mat2d::Multiply ( const Standard_Real Scalar )

Multiplies all the coefficients of the matrix by a scalar.

const Standard_Real& gp_Mat2d::operator()	(	const Standard_Integer	Row,
		const Standard_Integer	Col
	)		const

inline

Standard_Real& gp_Mat2d::operator()	(	const Standard_Integer	Row,
		const Standard_Integer	Col
	)

inline

gp_Mat2d gp_Mat2d::operator* ( const gp_Mat2d & Other ) const

inline

gp_Mat2d gp_Mat2d::operator* ( const Standard_Real Scalar ) const

inline

void gp_Mat2d::operator*= ( const Standard_Real Scalar )

inline

gp_Mat2d gp_Mat2d::operator+ ( const gp_Mat2d & Other ) const

inline

void gp_Mat2d::operator+= ( const gp_Mat2d & Other )

inline

gp_Mat2d gp_Mat2d::operator- ( const gp_Mat2d & Other ) const

inline

void gp_Mat2d::operator-= ( const gp_Mat2d & Other )

inline

gp_Mat2d gp_Mat2d::operator/ ( const Standard_Real Scalar ) const

inline

void gp_Mat2d::operator/= ( const Standard_Real Scalar )

inline

void gp_Mat2d::Power ( const Standard_Integer N )

gp_Mat2d gp_Mat2d::Powered ( const Standard_Integer N ) const

computes <me> = <me> * <me> * .......* <me>, N time. if N = 0 <me> = Identity if N < 0 <me> = <me>.Invert() *...........* <me>.Invert(). If N < 0 an exception can be raised if the matrix is not inversible

void gp_Mat2d::PreMultiply ( const gp_Mat2d & Other )

Modifies this matrix by premultiplying it by the matrix Other <me> = Other * <me>.

gp_XY gp_Mat2d::Row ( const Standard_Integer Row ) const

Returns the row of index Row. Raised if Row < 1 or Row > 2.

void gp_Mat2d::SetCol	(	const Standard_Integer	Col,
		const gp_XY &	Value
	)

Assigns the two coordinates of Value to the column of range Col of this matrix Raises OutOfRange if Col < 1 or Col > 2.

void gp_Mat2d::SetCols	(	const gp_XY &	Col1,
		const gp_XY &	Col2
	)

Assigns the number pairs Col1, Col2 to the two columns of this matrix.

void gp_Mat2d::SetDiagonal	(	const Standard_Real	X1,
		const Standard_Real	X2
	)

Modifies the main diagonal of the matrix. <me>.Value (1, 1) = X1 <me>.Value (2, 2) = X2 The other coefficients of the matrix are not modified.

void gp_Mat2d::SetIdentity ( )

Modifies this matrix, so that it represents the Identity matrix.

void gp_Mat2d::SetRotation ( const Standard_Real Ang )

Modifies this matrix, so that it representso a rotation. Ang is the angular value in radian of the rotation.

void gp_Mat2d::SetRow	(	const Standard_Integer	Row,
		const gp_XY &	Value
	)

Assigns the two coordinates of Value to the row of index Row of this matrix. Raises OutOfRange if Row < 1 or Row > 2.

void gp_Mat2d::SetRows	(	const gp_XY &	Row1,
		const gp_XY &	Row2
	)

Assigns the number pairs Row1, Row2 to the two rows of this matrix.

void gp_Mat2d::SetScale ( const Standard_Real S )

Modifies the matrix such that it represents a scaling transformation, where S is the scale factor : | S 0.0 | <me> = | 0.0 S |.

void gp_Mat2d::SetValue	(	const Standard_Integer	Row,
		const Standard_Integer	Col,
		const Standard_Real	Value
	)

Assigns to the coefficient of row Row, column Col of this matrix. Raises OutOfRange if Row < 1 or Row > 2 or Col < 1 or Col > 2.

void gp_Mat2d::Subtract ( const gp_Mat2d & Other )

gp_Mat2d gp_Mat2d::Subtracted ( const gp_Mat2d & Other ) const

Computes for each coefficient of the matrix : <me>.Coef(i,j) - <Other>.Coef(i,j)

void gp_Mat2d::Transpose ( )

gp_Mat2d gp_Mat2d::Transposed ( ) const

Transposes the matrix. A(j, i) -> A (i, j)

const Standard_Real& gp_Mat2d::Value	(	const Standard_Integer	Row,
		const Standard_Integer	Col
	)		const

Returns the coefficient of range (Row, Col) Raises OutOfRange if Row < 1 or Row > 2 or Col < 1 or Col > 2.

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

gp_Mat2d.hxx

gp_Mat2d Class Reference

Public Member Functions

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation