#### IfcDerivedProfileDef

Natural language names

##### Semantic definitions at the entity

Entity definition

Definition from IAI: The IfcDerivedProfileDef defines the profile by transformation from the parent profile. The transformation is given by a two dimensional transformation operator. Transformation includes translation, rotation, mirror and scaling. The latter can be uniform or non uniform. The derived profiles may be used to define swept surfaces, swept area solids or sectioned spines.

The transformation effects the position, rotation, mirroring or scale of the profile at the underlying coordinate system, i.e. the coordinate system defined by the swept surface or swept area solid that uses the profile definition. It is the xy plane of either:

- IfcSweptSurface.Position
- IfcSweptAreaSolid.Position

or in case of sectioned spines the xy plane of each list member of IfcSectionedSpine.CrossSectionPositions. The position and potential rotation of the ParentProfile within the underlying coordinate system is taken into consideration before applying the Cartesian transformation operator.

> HISTORY: New entity in IFC Release 2x.

Illustration:

| Parameter The IfcDerivedProfileDef is defined using the IfcCartesianTransformationOperator2D (CTO), which is applied to the parent profile definition. Example The example shows an uniform scaling and a transformation of an IfcRectangleProfileDef to match the lower-left cardinal point. The attributes of the CTO are: `Axis1 = NIL (defaults to 1.,0.) Axis2 = NIL (defaults to 0.,1.) LocalOrigin = IfcCartesianPoint(<1/2 XDim>,<1/2 YDim>) Scale = 2.` Note: The ParentProfile has a Position = IfcCartesianPoint(<1/2 XDim>,<1/2 YDim>) already. ``
| Parameter The IfcDerivedProfileDef is defined using non uniform transformationsby applying the IfcCartesianTransformationOperator2DnonUniform as a subtype of the 2D CTO. Example The example shows a non-uniform scaling and a translation of an IfcRectangleProfileDef to match the lower-left cardinal point. The attributes of the CTO are: `Axis1 = NIL (defaults to 1.,0.) Axis2 = NIL (defaults to 0.,1.) LocalOrigin = IfcCartesianPoint(0.,<1/2 YDim) Scale = 1. Scale2 = 2.` Note: The ParentProfile has a Position = IfcCartesianPoint(<1/2 XDim>,<1/2 YDim>) already.
| Parameter The IfcDerivedProfileDef is defined using mirroring by applying the IfcCartesianTransformationOperator2D (CTO) to the parent profile. Example The example shows a mirroring of an IfcLShapeProfileDef to match the centre cardinal point. The attributes of the CTO are: `Axis1 =` `(0.,-1.)``` `Axis2 =` `NIL (defaults to 1.,0.)` `LocalOrigin = IfcCartesianPoint(0.,0.)` `Scale = NIL (defaults to 1.)` Note: The ParentProfile has a Position = IfcCartesianPoint(0.,0.).
Note: The following color map applies: black coordinate axes show the underlying coordinate system of the swept surface, swept area solid, or sectioned spine red coordinate axes show the position coordinate system of the parent profile brown coordinate axes show the position coordinate system of the derived profi

Table: Derivation of derived profile definition

Attribute definitions

# | Attribute | Type | Cardinality | Description | A
--- | --- | --- | --- | --- | ---
3 | ParentProfile | IfcProfileDef | [1:1] | The parent profile provides the origin of the transformation. | X
4 | Operator | IfcCartesianTransformationOperator2D | [1:1] | Transformation operator applied to the parent profile. | X
5 | Label | - |  | This attribute is out of scope for this model view definition and shall not be set. |

Formal Propositions

Rule | Description
--- | ---
WR1 | The profile type of the derived profile shall be the same as the type of the parent profile, i.e. both shall be either AREA or CURVE.

##### Inherited definitions from supertypes

Entity inheritance
Attribute inheritance

# | Attribute | Type | Cardinality | Description | A
--- | --- | --- | --- | --- | ---
IfcProfileDef
1 | ProfileType | IfcProfileTypeEnum | [1:1] | Defines the type of geometry into which this profile definition shall be resolved, either a curve or a surface area. In case of curve the profile should be referenced by a swept surface, in case of area the profile should be referenced by a swept area solid. | X
2 | ProfileName | - |  | This attribute is out of scope for this model view definition and shall not be set. |
IfcDerivedProfileDef
3 | ParentProfile | IfcProfileDef | [1:1] | The parent profile provides the origin of the transformation. | X
4 | Operator | IfcCartesianTransformationOperator2D | [1:1] | Transformation operator applied to the parent profile. | X
5 | Label | - |  | This attribute is out of scope for this model view definition and shall not be set. |

##### Formal representations

XSD Specification
`<xs:element name="IfcDerivedProfileDef" type="ifc:IfcDerivedProfileDef" substitutionGroup="ifc:IfcProfileDef" nillable="true"/>
<xs:complexType name="IfcDerivedProfileDef">
<xs:complexContent>
<xs:extension base="ifc:IfcProfileDef">
<xs:sequence>
<xs:element name="ParentProfile" type="ifc:IfcProfileDef" nillable="true"/>
<xs:element name="Operator" type="ifc:IfcCartesianTransformationOperator2D" nillable="true"/>
</xs:sequence>
</xs:extension>
</xs:complexContent>
</xs:complexType>
`
EXPRESS Specification
`ENTITY IfcDerivedProfileDef
SUBTYPE OF (IfcProfileDef);
ParentProfile : IfcProfileDef;
Operator : IfcCartesianTransformationOperator2D;
Label : OPTIONAL IfcStrippedOptional;
WHERE
WR1 : SELF\IfcProfileDef.ProfileType = ParentProfile.ProfileType;
END_ENTITY;

EXPRESS-G diagram

`

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