Public View Protected View Private View

All Frameworks Class Hierarchy This Framework Indexes Previous Next

Mathematics CATMath3x3Matrix

Usage: you must use this class as is. You should never derive it.

public class CATMath3x3Matrix

Class representing a matrix in dimension 3.

Matrix= A11 A12 A13 A21 A22 A23 A31 A32 A33

Constructor and Destructor Index

o CATMath3x3Matrix(): Constructs the Identity CATMath3x3Matrix.
o CATMath3x3Matrix(double): Constructs the iA*Identity CATMath3x3Matrix.
o CATMath3x3Matrix(CATMathVector&): Constructs the CATMath3x3Matrix of a reflection.
o CATMath3x3Matrix(double,double,double): Constructs a diagonal CATMath3x3Matrix.
o CATMath3x3Matrix(CATMath3x3Matrix&): Copy constructor.
o CATMath3x3Matrix(CATMathVector&,CATAngle&): Constructs the CATMath3x3Matrix of a rotation around a direction.
o CATMath3x3Matrix(CATMathVector&,CATMathVector&): Constructs a CATMath3x3Matrix resulting from the product of a CATMathVector by the transpose of another CATMathVector.
o CATMath3x3Matrix(CATMathVector&,CATMathVector&,CATMathVector&): Constructs a CATMath3x3Matrix from 3 columns.
o CATMath3x3Matrix(double,double,double,double,double,double,double,double,double): Constructs a CATMath3x3Matrix from its coefficients.

Method Index

o Determinant(): Returns the determinant of this CATMath3x3Matrix.
o Dump(ostream*): Dumps this CATMath3x3Matrix.
o EigenVectors(int&,double[3],CATBoolean[3],CATMathVector[3],CATBoolean&): Retrieves the eigenvalues and eigenvectors of this CATMath3x3Matrix.
o GetCoef(double&,double&,double&,double&,double&,double&,double&,double&,double&): Retrieves the coefficients of this CATMath3x3Matrix.
o GetFirstColumn(): Retrieves the first column of this CATMath3x3Matrix.
o GetFirstColumn(CATMathVector&): Retrieves the first column of this CATMath3x3Matrix.
o GetSecondColumn(): Retrieves the second column of this CATMath3x3Matrix.
o GetSecondColumn(CATMathVector&): Retrieves the second column of this CATMath3x3Matrix.
o GetThirdColumn(): Retrieves the third column of this CATMath3x3Matrix.
o GetThirdColumn(CATMathVector&): Retrieves the third column of this CATMath3x3Matrix.
o InfiniteNorm(): Returns the infinite norm of this CATMath3x3Matrix.
o Inverse(CATMath3x3Matrix&): Inverses this CATMath3x3Matrix.
o IsIsometry(): Returns the diagnostic of this CATMath3x3Matrix isometry.
o IsScaling(): Returns the diagnostic of this CATMath3x3Matrix scaling.
o SetCoef(double,double,double,double,double,double,double,double,double): Sets the coefficients of this CATMath3x3Matrix.
o SetFirstColumn(CATMathVector&): Modifies the first column of this CATMath3x3Matrix.
o SetMatrix(CATMathVector&,CATMathVector&,CATMathVector&): Modifies the columns of this CATMath3x3Matrix .
o SetSecondColumn(CATMathVector&): Modifies the second column of this CATMath3x3Matrix.
o SetThirdColumn(CATMathVector&): Modifies the third column of this CATMath3x3Matrix.
o Trace(): Returns the trace of this CATMath3x3Matrix.
o Transpose(CATMath3x3Matrix&): Transposes this CATMath3x3Matrix.

Constructor and Destructor

o CATMath3x3Matrix

public CATMath3x3Matrix(

)

Constructs the Identity CATMath3x3Matrix.

Returns:

Matrix= 1 0 0 0 1 0 0 0 1

o CATMath3x3Matrix

public CATMath3x3Matrix( const iA)

Constructs the iA*Identity CATMath3x3Matrix.

Returns:

Matrix= iA 0 0 0 iA 0 0 0 iA

o CATMath3x3Matrix

public CATMath3x3Matrix( const iReflectPlaneNormal)

Constructs the CATMath3x3Matrix of a reflection.

o CATMath3x3Matrix

public CATMath3x3Matrix(	const	`iA11`,
	const	`iA22`,
	const	`iA33`)

Constructs a diagonal CATMath3x3Matrix.

Returns:

Matrix= iA11 0 0 0 iA22 0 0 0 iA33

o CATMath3x3Matrix

public CATMath3x3Matrix( const iMatrixToCopy)

Copy constructor.

o CATMath3x3Matrix

public CATMath3x3Matrix(	const	`iAxis`,
	const	`iAngle`)

Constructs the CATMath3x3Matrix of a rotation around a direction.
iAngle is expressed in radians.

o CATMath3x3Matrix

public CATMath3x3Matrix(	const	`iFirstVector`,
	const	`iVectorToTranspose`)

Constructs a CATMath3x3Matrix resulting from the product of a CATMathVector by the transpose of another CATMathVector.

o CATMath3x3Matrix

public CATMath3x3Matrix(	const	`iFirstColumn`,
	const	`iSecondColumn`,
	const	`iThirdColumn`)

Constructs a CATMath3x3Matrix from 3 columns.

o CATMath3x3Matrix

public CATMath3x3Matrix(	const	`iA11`,
	const	`iA12`,
	const	`iA13`,
	const	`iA21`,
	const	`iA22`,
	const	`iA23`,
	const	`iA31`,
	const	`iA32`,
	const	`iA33`)

Constructs a CATMath3x3Matrix from its coefficients.

Returns:

Matrix= iA11 iA12 iA13 iA21 iA22 iA23 iA31 iA32 iA33

Methods

o Determinant

public Determinant(

)

Returns the determinant of this CATMath3x3Matrix.

o Dump

public Dump( iStream =0L)

Parameters:

iStream: A pointer to the output. If 0L, the method dumps on the cout output.

o EigenVectors

public EigenVectors(		`ioNbEigenValues`,
		`ioEigenValues`,
		`ioHasAssociatedVector`,
		`ioEigenVectors`,
		`ioIsDiagonal`)

Retrieves the eigenvalues and eigenvectors of this CATMath3x3Matrix.

Parameters:

oNbEigenValues: Number of eigenvalues. Multiple eigenvalues are counted as their multiplicity.
oEigenValues: The array of the eigenvalues. You must allocate it to 3 doubles, but the retrieved information is only significant for index from 0 to oNbEigenValues-1.
oHasAssociatedVector: The array to test if there is an eigenvector associated with an eigenvalue. This is not the case when the dimension of the associated eigenspace is less than the multiplicity of the eigenvalue. The array dimension must be 3 (and you must allocate it), but the retrieved information is only significant for index from 0 to oNbEigenValues-1.
oEigenVectors: The array of the eigenvectors. The array dimension must be 3 (and you must allocate it), but the retrieved information is only significant for index from 0 to oNbEigenValues-1 AND oHasAssociatedVector[index]==TRUE.
The eigenvectors are normed.
oIsDiagonal: TRUE if this has 3 eigenvalues and 3 eigenvectors.

o GetCoef

public GetCoef(		`ioA11`,
		`ioA12`,
		`ioA13`,
		`ioA21`,
		`ioA22`,
		`ioA23`,
		`ioA31`,
		`ioA32`,
		`ioA33`)

Retrieves the coefficients of this CATMath3x3Matrix.
Matrix= ioA11 ioA12 ioA13 ioA21 ioA22 ioA23 ioA31 ioA32 ioA33

o GetFirstColumn

public GetFirstColumn(

)

Retrieves the first column of this CATMath3x3Matrix. The signature which returns the first column in an output argument should be preferably used.

o GetFirstColumn

public GetFirstColumn( ioFirstColumn)

Retrieves the first column of this CATMath3x3Matrix.

o GetSecondColumn

public GetSecondColumn(

)

Retrieves the second column of this CATMath3x3Matrix. The signature which returns the second column in an output argument should be preferably used.

o GetSecondColumn

public GetSecondColumn( ioSecondColumn)

Retrieves the second column of this CATMath3x3Matrix.

o GetThirdColumn

public GetThirdColumn(

)

Retrieves the third column of this CATMath3x3Matrix. The signature which returns the third column in an output argument should be preferably used.

o GetThirdColumn

public GetThirdColumn( ioThirdColumn)

Retrieves the third column of this CATMath3x3Matrix.

o InfiniteNorm

public InfiniteNorm(

)

Returns the infinite norm of this CATMath3x3Matrix.
The infinite norm is the supremum of the absolute value of the coefficients.

o Inverse

public Inverse( ioInverse)

Inverses this CATMath3x3Matrix.

Returns:: TRUE if this CATMath3x3Matrix is invertible, FALSE otherwise. In this last case, oInverse is not modified.

o IsIsometry

public IsIsometry(

)

Returns the diagnostic of this CATMath3x3Matrix isometry.

Returns:

FALSE: if it is not an isometry.
TRUE: if it is a direct isometry.

o IsScaling

public IsScaling(

)

Returns the diagnostic of this CATMath3x3Matrix scaling.

Returns:

FALSE: if it is not a scaling.
TRUE: if it is a scaling.

o SetCoef

public SetCoef(	const	`iA11`,
	const	`iA12`,
	const	`iA13`,
	const	`iA21`,
	const	`iA22`,
	const	`iA23`,
	const	`iA31`,
	const	`iA32`,
	const	`iA33`)

Sets the coefficients of this CATMath3x3Matrix.
Matrix= iA11 iA12 iA13 iA21 iA22 iA23 iA31 iA32 iA33

o SetFirstColumn

public SetFirstColumn( const iFirstColumn)

Modifies the first column of this CATMath3x3Matrix.

o SetMatrix

public SetMatrix(	const	`iFirstColumn`,
	const	`iSecondColumn`,
	const	`iThirdColumn`)

Modifies the columns of this CATMath3x3Matrix .

o SetSecondColumn

public SetSecondColumn( const iSecondColumn)

Modifies the second column of this CATMath3x3Matrix.

o SetThirdColumn

public SetThirdColumn( const iThirdColumn)

Modifies the third column of this CATMath3x3Matrix.

o Trace

public Trace(

)

Returns the trace of this CATMath3x3Matrix.

o Transpose

public Transpose( ioTransposed)

Transposes this CATMath3x3Matrix.

This object is included in the file: CATMath3x3Matrix.h
If needed, your Imakefile.mk should include the module: CATMathematics

Matrix=	1	0	0
	0	1	0
	0	0	1

Matrix=	iA	0	0
	0	iA	0
	0	0	iA

Matrix=	iA11	0	0
	0	iA22	0
	0	0	iA33

Mathematics writeClassCharacteristic(); CATMath3x3Matrix

Constructor and Destructor Index

Method Index

Constructor and Destructor

Methods

Mathematics CATMath3x3Matrix