IfcSecondOrderPolynomialSpiral

Natural language names
Change log
ItemSPFXMLChangeDescription
IFC4x3_RC2 to IFC4x3_RC3
    IfcSecondOrderPolynomialSpiralADDED
IFC4x3_RC3 to IFC4x3_RC4
    IfcSecondOrderPolynomialSpiral
      ConstantTermMODIFIEDType changed from IfcReal to IfcLengthMeasure.
Semantic definitions at the entity
Entity definition

The IfcSecondOrderPolynomialSpiral is a specialization of IfcSpiral. The curvature κ and radius of the curvature ρ, at any point of the curve, are related to the arc length s by the second order formulae:

formula

Interpretation of the parameters:

C = SELF\IfcSpiral.Position.Location
x = SELF\IfcSpiral.Position.P[1]
y = SELF\IfcSpiral.Position.P[2]
A2 = QuadraticTerm
A1 = LinearTerm
A0 = ContantTerm

and the second order polynomial spiral is parameterized as:

formula

where:

formula

and the parametric range is: -∞ < u < ∞.

Attribute definitions
#AttributeTypeCardinalityDescription G
2QuadraticTermIfcLengthMeasure The constant that defines the quadratic term in the equation which defines the relation between curvature and arc length for the curve. X
3LinearTermIfcLengthMeasure? The constant that defines the linear term in the equation which defines the relation between curvature and arc length for the curve. X
4ConstantTermIfcLengthMeasure? The constant that defines the constant term in the equation which defines the relation between curvature and arc length for the curve. X
Inherited definitions from supertypes
Entity inheritance IfcSpiral IfcCurve IfcGeometricRepresentationItem IfcRepresentationItem
Attribute inheritance
#AttributeTypeCardinalityDescriptionG
IfcRepresentationItem
LayerAssignmentIfcPresentationLayerAssignment
@AssignedItems
S[0:1]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.
IFC2x3 CHANGE  The inverse attribute LayerAssignments has been added.
IFC4 CHANGE  The inverse attribute LayerAssignment has been restricted to max 1. Upward compatibility for file based exchange is guaranteed.
X
StyledByItemIfcStyledItem
@Item
S[0:1]Reference to the IfcStyledItem that provides presentation information to the representation, e.g. a curve style, including colour and thickness to a geometric curve.
IFC2x3 CHANGE  The inverse attribute StyledByItem has been added.
X
IfcGeometricRepresentationItem
IfcCurve
Dim
:=IfcCurveDim(SELF)
IfcDimensionCountThe space dimensionality of this abstract class, defined differently for all subtypes, i.e. for IfcLine, IfcConic and IfcBoundedCurve. X
IfcSpiral
1PositionIfcAxis2Placement X
IfcSecondOrderPolynomialSpiral
2QuadraticTermIfcLengthMeasure The constant that defines the quadratic term in the equation which defines the relation between curvature and arc length for the curve. X
3LinearTermIfcLengthMeasure? The constant that defines the linear term in the equation which defines the relation between curvature and arc length for the curve. X
4ConstantTermIfcLengthMeasure? The constant that defines the constant term in the equation which defines the relation between curvature and arc length for the curve. X
Formal representations
XML Specification
 <xs:element name="IfcSecondOrderPolynomialSpiral" type="ifc:IfcSecondOrderPolynomialSpiral" substitutionGroup="ifc:IfcSpiral" nillable="true"/>
 <xs:complexType name="IfcSecondOrderPolynomialSpiral">
  <xs:complexContent>
   <xs:extension base="ifc:IfcSpiral">
    <xs:attribute name="QuadraticTerm" type="ifc:IfcLengthMeasure" use="optional"/>
    <xs:attribute name="LinearTerm" type="ifc:IfcLengthMeasure" use="optional"/>
    <xs:attribute name="ConstantTerm" type="ifc:IfcLengthMeasure" use="optional"/>
   </xs:extension>
  </xs:complexContent>
 </xs:complexType>
EXPRESS Specification
ENTITY IfcSecondOrderPolynomialSpiral
 SUBTYPE OF (IfcSpiral);
  QuadraticTerm : IfcLengthMeasure;
  LinearTerm : OPTIONAL IfcLengthMeasure;
  ConstantTerm : OPTIONAL IfcLengthMeasure;
END_ENTITY;

Link to EXPRESS-G diagram EXPRESS-G diagram

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