8.9.3.14 IfcCartesianTransformationOperator2D
8.9.3.14.1 Semantic definition
An IfcCartesianTransformationOperator2D defines a geometric transformation in two-dimensional space.
8.9.3.14.2 Entity inheritance
- 
- IfcCartesianTransformationOperator
 - IfcAnnotationFillArea
 - IfcBooleanResult
 - IfcBoundingBox
 - IfcCartesianPointList
 - IfcCsgPrimitive3D
 - IfcCurve
 - IfcDirection
 - IfcFaceBasedSurfaceModel
 - IfcFillAreaStyleHatching
 - IfcFillAreaStyleTiles
 - IfcGeometricSet
 - IfcHalfSpaceSolid
 - IfcLightSource
 - IfcPlacement
 - IfcPlanarExtent
 - IfcPoint
 - IfcSectionedSpine
 - IfcSegment
 - IfcShellBasedSurfaceModel
 - IfcSolidModel
 - IfcSurface
 - IfcTessellatedItem
 - IfcTextLiteral
 - IfcVector
 
 
8.9.3.14.3 Attributes
| # | Attribute | Type | Description | 
|---|---|---|---|
| IfcRepresentationItem (2) | |||
| LayerAssignment | SET [0:1] OF IfcPresentationLayerAssignment FOR AssignedItems | 
 Assignment of the representation item to a single or multiple layer(s). The LayerAssignments can override a LayerAssignments of the IfcRepresentation it is used within the list of Items.  | 
|
| StyledByItem | SET [0:1] OF IfcStyledItem FOR Item | 
 Reference to the IfcStyledItem that provides presentation information to the representation, e.g. a curve style, including colour and thickness to a geometric curve.  | 
|
| IfcCartesianTransformationOperator (6) | |||
| 1 | Axis1 | OPTIONAL IfcDirection | 
 The direction used to determine U[1], the derived X axis direction.  | 
| 2 | Axis2 | OPTIONAL IfcDirection | 
 The direction used to determine U[2], the derived Y axis direction.  | 
| 3 | LocalOrigin | IfcCartesianPoint | 
 The required translation, specified as a cartesian point. The actual translation included in the transformation is from the geometric origin to the local origin.  | 
| 4 | Scale | OPTIONAL IfcReal | 
 The scaling value specified for the transformation.  | 
| * | Scl | IfcReal | 
 This attribute is formally derived. 
The derived scale S of the transformation, equal to scale if that exists, or 1.0 otherwise.  | 
| * | Dim | IfcDimensionCount | 
 This attribute is formally derived. 
The space dimensionality of this class, determined by the space dimensionality of the local origin.  | 
| Click to show 8 hidden inherited attributes Click to hide 8 inherited attributes | |||
| IfcCartesianTransformationOperator2D (1) | |||
| * | U | LIST [2:2] OF IfcDirection | 
 This attribute is formally derived. 
The list of mutually orthogonal, normalized vectors defining the transformation matrix T. They are derived from the explicit attributes Axis1 and Axis2 in that order.  | 
8.9.3.14.4 Formal propositions
| Name | Description | 
|---|---|
| Axis1Is2D | 
 The inherited Axis1 should have (if given) the dimensionality of 2.  | 
 | 
|
| Axis2Is2D | 
 The inherited Axis2 should have (if given) the dimensionality of 2.  | 
 | 
|
| DimEqual2 | 
 The coordinate space dimensionality of this entity shall be 2.  | 
 | 
|
8.9.3.14.5 Examples
8.9.3.14.6 Formal representation
ENTITY IfcCartesianTransformationOperator2D
 SUPERTYPE OF (ONEOF
	(IfcCartesianTransformationOperator2DnonUniform))
 SUBTYPE OF (IfcCartesianTransformationOperator);
 DERIVE
	 U : LIST [2:2] OF IfcDirection := IfcBaseAxis(2,SELF\IfcCartesianTransformationOperator.Axis1,
SELF\IfcCartesianTransformationOperator.Axis2,?);
 WHERE
	Axis1Is2D : NOT(EXISTS(SELF\IfcCartesianTransformationOperator.Axis1)) OR 
(SELF\IfcCartesianTransformationOperator.Axis1.Dim = 2);
	Axis2Is2D : NOT(EXISTS(SELF\IfcCartesianTransformationOperator.Axis2)) OR 
(SELF\IfcCartesianTransformationOperator.Axis2.Dim = 2);
	DimEqual2 : SELF\IfcCartesianTransformationOperator.Dim = 2;
END_ENTITY;



