OdGeMatrix2d Class

Class Hierarchy

Syntax

C++

class OdGeMatrix2d;

File

GeMatrix2d.h

Description

This class represents 2D transformation matrices that define affine ( translation, rotation, and/or scaling ) transformations.

Remarks

OdGeMatrix2d may be viewed as an array[3][3] of doubles.

An OdGeMatrix2d, M, can be expressed as a 3 3 matrix*, in the form

a00 a01 t0 a10 a11 t1 0 0 1

The linear part of M is the matrix

a00 a01 a10 a11

The translational part of M is the column

t0 t1

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

Corresponding C++ library: TD_Ge

Group

OdGe Classes

Public Methods

	Name	Description
	OdGeMatrix2d	Default constructor for the OdGeMatrix2d class.

OdGeMatrix2d Data Members

	Name	Description
	entry	row][column
	kIdentity	The identity matrix.

OdGeMatrix2d Methods

	Name	Description
	alignCoordSys	Returns the matrix which maps the coordinate system defined by fromOrigin, fromXAxis, and fromYAxis, to the coordinate system defined by toOrigin, toXAxis, and toYAxis.
	det	Returns the determinant of this matrix.
	getCoordSystem	Returns the origin, X-axis, and Y-axis of the coordinate system to which this matrix maps the WCS.
	inverse	Returns the inverse of this matrix.
	invert	Sets this matrix to its inverse, and returns a reference to this matrix.
	isConformal	Returns true if an only if this matrix is conformal (isUniScaledOrtho()), and returns the scale factor, angle of rotation, the presence of a mirror component to the matrix, and the direction of reflection.
	isEqualTo	Returns true if and only if matrix is identical to this one, within the specified tolerance.
	isScaledOrtho	Returns true if and only the column vectors of the linear part of this matrix are perpendicular to each other within the specified tolerance.
	isSingular	Returns true if and only if this matrix is singular.
	isUniScaledOrtho	Returns true if and only the columns vectors of the linear part of this matrix are of equal length and perpendicular to each other within the specified tolerance.
	mirroring	This is the overview for the mirroring method overload.
	postMultBy	Sets this matrix to the product (this matrix) * rightSide, and returns a reference to this matrix.
	preMultBy	Sets this matrix to the product leftSide * (this matrix), and returns a reference to this matrix.
	rotation	Returns the matrix which rotates by angle about center.
	scale	Returns the scale factor of this matrix.
	scaling	Returns the matrix which scales by scale about center.
	setCoordSystem	Sets this matrix to the matrix which maps the WCS to the coordinate system defined by origin, X-axis, and Y-axis, and returns a reference to this matrix.
	setToAlignCoordSys	Sets this matrix to the matrix which maps the coordinate system defined by fromOrigin, fromXAxis, and fromYAxis, to the coordinate system defined by toOrigin, toXAxis, and toYAxis, 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.
	setToProduct	Sets this matrix to the product matrix1 * matrix2, and returns a reference to this matrix.
	setToRotation	Sets this matrix to the matrix which rotates by angle about center, and returns a reference to this matrix.
	setToScaling	Sets this matrix to the matrix which scales by scale about center, and returns a reference to this matrix.
	setToTranslation	Sets this matrix to the matrix which translates by vect, and returns a reference to this matrix.
	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.

OdGeMatrix2d Operators

	Name	Description
	!=	Inequality operator.
	()	This is the overview for the () operator overload.
	*	Returns the product (this matrix) * matrix.
	*=
	[]	This is the overview for the [] operator overload.
	==	Equality operator.

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