8.9.3.13 IfcCartesianTransformationOperator
ABSTRACT This definition may not be instantiated
8.9.3.13.1 Semantic definition
An IfcCartesianTransformationOperator defines an abstract supertype of different kinds of geometric transformations.
Definition according to ISO/CD 10303-42:1992 A Cartesian transformation operator defines a geometric transformation composed of translation, rotation, mirroring and uniform scaling. The list of normalized vectors u defines the columns of an orthogonal matrix T. These vectors are computed, by the base axis function, from the direction attributes axis1, axis2 and, in Cartesian transformation operator 3d, axis3. If |T|= -1, the transformation includes mirroring. The local origin point A, the scale value S and the matrix T together define a transformation. Entity adapted from cartesian_transformation_operator defined in ISO10303-42. New entity in IFC2x.The transformation for a point with position vector P is defined by
P -> A + _S_TP The transformation for a direction d is defined by
d -> Td The transformation for a vector with orientation d and magnitude k is defined by
d -> Td, and k -> Sk For those entities whose attributes include an axis2 placement, the transformation is applied, after the derivation, to the derived attributes p defining the placement coordinate directions. For a transformed surface, the direction of the surface normal at any point is obtained by transforming the normal, at the corresponding point, to the original surface. For geometric entities with attributes (such as the radius of a circle) which have the dimensionality of length, the values will be multiplied by S.
For curves on surface the p curve.reference to curve will be unaffected by any transformation. The Cartesian transformation operator shall only be applied to geometry defined in a consistent system of units with the same units on each axis. With all optional attributes omitted, the transformation defaults to the identity transformation. The Cartesian transformation operator shall only be instantiated as one of its subtypes.
8.9.3.13.2 Entity inheritance
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- 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
8.9.3.13.3 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. The inverse attribute LayerAssignments has been added. The inverse attribute LayerAssignment has been restricted to max 1. Upward compatibility for file based exchange is guaranteed. |
|
| 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. The inverse attribute StyledByItem has been added. |
|
| Click to show 2 hidden inherited attributes Click to hide 2 inherited attributes | |||
| 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. |
8.9.3.13.4 Formal propositions
| Name | Description |
|---|---|
| ScaleGreaterZero |
The derived scaling Scl shall be greater than zero. |
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8.9.3.13.5 Formal representation
ENTITY IfcCartesianTransformationOperator
ABSTRACT SUPERTYPE OF (ONEOF
(IfcCartesianTransformationOperator2D
,IfcCartesianTransformationOperator3D))
SUBTYPE OF (IfcGeometricRepresentationItem);
Axis1 : OPTIONAL IfcDirection;
Axis2 : OPTIONAL IfcDirection;
LocalOrigin : IfcCartesianPoint;
Scale : OPTIONAL IfcReal;
DERIVE
Scl : IfcReal := NVL(Scale, 1.0);
Dim : IfcDimensionCount := LocalOrigin.Dim;
WHERE
ScaleGreaterZero : Scl > 0.0;
END_ENTITY;