OdGeMatrix3d Class

Class Hierarchy

Syntax

C++

class OdGeMatrix3d;

File

GeMatrix3d.h

Description

This class represents 3D transformation matrices that define affine (translation, rotation and/or scaling) transformations.

Corresponding C++ library: TD_Ge

Remarks

OdGeMatrix3d may be viewed as an array[4][4] of doubles.

An OdGeMatrix3d, M, can be expressed as a 4 x 4 matrix* in the form:

a00 a01 a02 t0 a10 a11 a12 t1 a20 a21 a22 t2 0 0 0 1

The linear part of M is the matrix:

a00 a01 a02 a10 a11 a12 a20 a21 a22

The translational part of M is the column:

t0 t1 t2

The origin of the coordinate system of M is (t0, t1, t2).

Group

OdGe Classes

Public Methods

	Name	Description
	OdGeMatrix3d	Default constructor for objects of the OdGeMatrix3d class.

OdGeMatrix3d Data Members

	Name	Description
	entry	Matrix data by rows.
	kIdentity	Multiplicative identity matrix.

OdGeMatrix3d Methods

	Name	Description
	alignCoordSys	Returns the matrix which maps the initial coordinate system defined by fromOrigin, fromXAxis, fromYAxis and fromZAxis, to the destination coordinate system defined by toOrigin, toXAxis, toYAxis and toZAxis.
	convertToLocal	Returns the matrix which transforms the plane specified by a normal and an elevation.
	det	Returns the determinant of this matrix.
	getCoordSystem	Returns the origin, X-axis, Y-axis and Z-axis of the coordinate system to which this matrix maps the WCS.
	getCsOrigin	Returns the origin of the coordinate system to which this matrix maps the WCS.
	getCsXAxis	Returns the X-axis of the coordinate system to which this matrix maps the WCS.
	getCsYAxis	Returns the Y-axis of the coordinate system to which this matrix maps the WCS.
	getCsZAxis	Returns the Z-axis of the coordinate system to which this matrix maps the WCS.
	inverse	This is the overview for the inverse method overload.
	invert	Sets this matrix to its inversion.
	isEqualTo	Returns true if and only if another matrix is identical to this one within the specified tolerance.
	isPerspective	Indicates whether the matrix can be used for perspective projections.
	isScaledOrtho	Checks whether the column vectors of the linear part of this matrix are mutually perpendicular within the specified tolerance.
	isSingular	Checks whether this matrix is singular.
	isUniScaledOrtho	Returns true if and only if the columns vectors of the linear part of this matrix are of equal length and mutually perpendicular within the specified tolerance.
	mirroring	This is the overview for the mirroring method overload.
	norm	Returns the largest absolute value of the linear part of this matrix.
	planeToWorld	This is the overview for the planeToWorld method overload.
	postMultBy	Sets this matrix to the product of this matrix and rightSide, and returns a reference to this matrix.
	preMultBy	Sets this matrix to the product of leftSide and this matrix, and returns a reference to this matrix.
	projection	Returns the matrix that parallely projects entities onto the specified plane in the specified direction.
	rotation	Returns the matrix that rotates entities by an angle about an axis passing through the center.
	scale	Returns the scale factor of this matrix.
	scaling	This is the overview for the scaling method overload.
	setCoordSystem	Sets this matrix to the matrix which maps the WCS to the coordinate system defined by origin, X-axis, Y-axis and Z-axis, and returns a reference to this matrix.
	setToAlignCoordSys	Sets this matrix to the matrix which maps the initial coordinate system defined by fromOrigin, fromXAxis, fromYAxis and fromZAxis, to the destination coordinate system defined by toOrigin, toXAxis, toYAxis and toZAxis, and returns a reference to this matrix.
	setToIdentity	Sets this matrix to the identity matrix, and returns a reference to this matrix.
	setToMirroring	This is the overview for the setToMirroring method overload.
	setToPlaneToWorld	This is the overview for the setToPlaneToWorld method overload.
	setToProduct	Sets this matrix to the product of matrix1 and matrix2, and returns a reference to this matrix.
	setToProjection	Sets this matrix to the matrix which is parallely projected onto the specified plane in the specified direction and returns a reference to this matrix.
	setToRotation	Sets this matrix to the matrix which is rotated by a specified angle about an axis passing through the center, and returns a reference to this matrix.
	setToScaling	This is the overview for the setToScaling method overload.
	setToTranslation	Sets this matrix to the matrix which is translated by a translation vector and returns a reference to this matrix.
	setToWorldToPlane	This is the overview for the setToWorldToPlane method overload.
	setTranslation	Sets the translation part of the matrix to the specified vector.
	translation	This is the overview for the translation method overload.
	transpose	Returns the transpose of this matrix.
	transposeIt	Sets this matrix to its transpose, and returns a reference to this matrix.
	validateZero	Sets any values within tol of 0 to 0.
	worldToPlane	This is the overview for the worldToPlane method overload.

OdGeMatrix3d Operators

	Name	Description
	!=	Negated comparison operator.
	()	This is the overview for the () operator overload.
	*	Multiplication operator. Returns the product of this matrix and another matrix.
	*=	Multiplication with assignment operator. Sets this matrix to the product of this matrix and another matrix, and returns a reference to this matrix.
	[]	This is the overview for the [] operator overload.
	==	Comparison operator.

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