Public 成员函数
	GMat2d ()

	GMat2d (GXY theCol1, GXY theCol2)

void	SetCol (int theCol, GXY theValue)

void	SetCols (GXY theCol1, GXY theCol2)

void	SetDiagonal (double theX1, double theX2)

void	SetIdentity ()

void	SetRotation (double theAng)

void	SetRow (int theRow, GXY theValue)

void	SetRows (GXY theRow1, GXY theRow2)

void	SetScale (double theS)

void	SetValue (int theRow, int theCol, double theValue)

GXY	Column (int theCol)

double	Determinant ()

GXY	Diagonal ()

GXY	Row (int theRow)

double	Value (int theRow, int theCol)

boolean	IsSingular ()

void	Add (GMat2d Other)

GMat2d	Added (GMat2d theOther)

void	Divide (double theScalar)

GMat2d	Divided (double theScalar)

void	Invert ()

GMat2d	Inverted ()

GMat2d	Multiplied (GMat2d theOther)

void	Multiply (GMat2d theOther)

void	PreMultiply (GMat2d theOther)

GMat2d	Multiplied (double theScalar)

void	Multiply (double theScalar)

void	Power (int theN)

GMat2d	Powered (int theN)

void	Subtract (GMat2d theOther)

GMat2d	Subtracted (GMat2d theOther)

void	Transpose ()

GMat2d	Transposed ()

详细描述

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

构造及析构函数说明

◆ GMat2d() [1/2]

GMat2d.GMat2d ( )

Creates a matrix with null coefficients.

◆ GMat2d() [2/2]

GMat2d.GMat2d	(	GXY	theCol1,
		GXY	theCol2
	)

theCol1, theCol2 are the 2 columns of the matrix.

成员函数说明

◆ Added()

GMat2d GMat2d.Added ( GMat2d theOther )

Computes the sum of this matrix and the matrix theOther.for each coefficient of the matrix : <me>.Coef(i,j) + <theOther>.Coef(i,j) Note: - operator += assigns the result to this matrix, while - operator + creates a new one.

◆ Column()

GXY GMat2d.Column ( int theCol )

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

◆ Determinant()

double GMat2d.Determinant ( )

Computes the determinant of the matrix.

◆ Diagonal()

GXY GMat2d.Diagonal ( )

Returns the main diagonal of the matrix.

◆ Divided()

GMat2d GMat2d.Divided ( double theScalar )

Divides all the coefficients of the matrix by a scalar.

◆ Inverted()

GMat2d GMat2d.Inverted ( )

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

◆ IsSingular()

boolean GMat2d.IsSingular ( )

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.

◆ Multiply() [1/2]

void GMat2d.Multiply ( double theScalar )

Multiplies all the coefficients of the matrix by a scalar.

◆ Multiply() [2/2]

void GMat2d.Multiply ( GMat2d theOther )

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

◆ Powered()

GMat2d GMat2d.Powered ( int theN )

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

◆ PreMultiply()

void GMat2d.PreMultiply ( GMat2d theOther )

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

◆ Row()

GXY GMat2d.Row ( int theRow )

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

◆ SetCol()

void GMat2d.SetCol	(	int	theCol,
		GXY	theValue
	)

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

◆ SetCols()

void GMat2d.SetCols	(	GXY	theCol1,
		GXY	theCol2
	)

Assigns the number pairs theCol1, theCol2 to the two columns of this matrix

◆ SetDiagonal()

void GMat2d.SetDiagonal	(	double	theX1,
		double	theX2
	)

Modifies the main diagonal of the matrix. <me>.Value (1, 1) = theX1 <me>.Value (2, 2) = theX2 The other coefficients of the matrix are not modified.

◆ SetIdentity()

void GMat2d.SetIdentity ( )

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

◆ SetRotation()

void GMat2d.SetRotation ( double theAng )

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

◆ SetRow()

void GMat2d.SetRow	(	int	theRow,
		GXY	theValue
	)

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

◆ SetRows()

void GMat2d.SetRows	(	GXY	theRow1,
		GXY	theRow2
	)

Assigns the number pairs theRow1, theRow2 to the two rows of this matrix.

◆ SetScale()

void GMat2d.SetScale ( double theS )

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

◆ SetValue()

void GMat2d.SetValue	(	int	theRow,
		int	theCol,
		double	theValue
	)

Assigns <theValue> to the coefficient of row theRow, column theCol of this matrix. Raises OutOfRange if theRow < 1 or theRow > 2 or theCol < 1 or theCol > 2

◆ Subtracted()

GMat2d GMat2d.Subtracted ( GMat2d theOther )

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

◆ Transposed()

GMat2d GMat2d.Transposed ( )

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

◆ Value()

double GMat2d.Value	(	int	theRow,
		int	theCol
	)

Returns the coefficient of range (ttheheRow, theCol) Raises OutOfRange if theRow < 1 or theRow > 2 or theCol < 1 or theCol > 2

Public 成员函数