BH.oM.Geometry.Arc¶

A plane curve. A circular Arc, a curve, with a constant distance from a point, its centre, defined it the local angular domain between start and end angle.

Class structure¶

Implemented interfaces and base types¶

The Arc is inheriting from the following base type(s) and implements the following interfaces:

BH.oM.Geometry.ICurve
BH.oM.Geometry.IGeometry
BH.oM.Base.IObject
BH.oM.Dimensional.IElement1D
BH.oM.Dimensional.IElement

Properties¶

Defining properties¶

The following properties are defined on the class

Name	Type	Description	Quantity
CoordinateSystem	Cartesian	Defines Arc centre equal to Origin of the CoordinateSystem, as well as the orientation of the Arc in three-dimensional space, equal to local xy-Plane of the CoordinateSystem.	-
Radius	double	Distance from the CoordinateSystem.Origin to the any point on Arc.	Length [m]
StartAngle	double	Angle in radians to the start point from the local x-axis, counter clockwise around the local z-axis.	Angle [rad]
EndAngle	double	Angle in radians to the end point from the local x-axis, counter clockwise around the local z-axis.	Angle [rad]

Derived properties¶

The following properties are defined as extension methods in one of the BHoM_Engines

Name	Type	Description	Quantity	Engine
Angle	double	Calculates the angle of the arc.	-	Geometry_Engine
Area	double	Calculates the area of the provided geometry.	Area [m²]	Geometry_Engine
Bounds	BoundingBox	Returns the global world axis oriented enclosing BoundingBox for all points on the curve, i.e. the box with the smallest volume within which all the curve points lie.	-	Geometry_Engine
Bounds	BoundingBox	Queries the IElement1Ds BoundingBox. Acts on the ICurve definition of the IElement1D through the Geometry_Engine.	-	Spatial_Engine
Centre	Point	-	-	Geometry_Engine
Centroid	Point	Queries the centre of weight for a IElement1Ds ICurve representation.	-	Spatial_Engine
ControlPoints	List<Point>	Gets points at start, quarter, mid thre quarters and end points on the Arc.	-	Geometry_Engine
ControlPoints	List<Point>	Queries the control points of the one dimensional representation of the IElement1D.	-	Spatial_Engine
DiscontinuityPoints	List<Point>	Gets the points at kinks of the curve. For an Arc this is the start and end points.	-	Geometry_Engine
DominantVector	Vector	Gets the the dominant vector (orientation) of an Element1D based on its lines lengths.	-	Spatial_Engine
ElementCurves	List<ICurve>	Queries the defining curves of an IElement1D.	-	Spatial_Engine
ElementVertices	List<Point>	Returns the discontinuity points from the defining ICurve of the IElement1D.	-	Spatial_Engine
EndDir	Vector	Gets the tangent vector at the end of the Arc.	-	Geometry_Engine
EndPoint	Point	-	-	Geometry_Engine
Geometry	ICurve	-	-	Geometry_Engine
GeometryHash	string	Returns a signature of the input geometry, useful for diffing. The hash is computed as a serialised array representing the coordinate of significant points taken on the geometry. The number of points is reduced to the minimum essential to determine uniquely any geometry. Additionally, the resulting points are transformed based on the source geometry type, to remove or minimize collisions. (Any transformation so performed is translational only, in order to support geometrical tolerance, i.e. numerical distance, when comparing GeometryHashes downstream).	-	Geometry_Engine
Height	double	Returns the height of a BHoM Geometry ICurve based on the bounding box of the curve	-	Environment_Engine
IArea	double	Calculates the area of the provided geometry.	Area [m²]	Geometry_Engine
IArea	double	Queries the area of the geometrical representation of an IElement.	Area [m²]	Spatial_Engine
IBounds	BoundingBox	Returns the global world axis oriented enclosing BoundingBox for all points of the geometry, i.e. the box with the smallest volume within which all the points on the geometry lie.	-	Geometry_Engine
IBounds	BoundingBox	Queries the IElements BoundingBox. Acts on the elements geometrical definition of the IElement through the Geometry_Engine.	-	Spatial_Engine
ICentroid	Point	Queries the centre of weight for the homogeneous geometrical representation of an IElement.	-	Spatial_Engine
ICentroid	Point	Interface method that queries the centre of area for any ICurve.	-	Geometry_Engine
IControlPoints	List<Point>	Gets the ControlPoints of the ICurve. Result will depend on the curve provided. Note that for NurbsCurves might not returns curves that are on the curve.	-	Geometry_Engine
IControlPoints	List<Point>	Queries the control points of the geometrical representation of an IElement.	-	Spatial_Engine
IDiscontinuityPoints	List<Point>	Gets the points at kinks of the curve, i.e. points where the tangent between two segments coming in to the same point is outside of the provided tolerance.	-	Geometry_Engine
IElementCurves	List<ICurve>	Queries the geometricly defining curves of the IElements geometry.	-	Spatial_Engine
IElements0D	List<IElement0D>	Queries the IElement0Ds from a IElement1D. Returns null if no IElement0Ds are defined for the type of IElement1D.	-	Spatial_Engine
IElementVertices	List<Point>	Returns the discontinuity points from the defining ICurves of the IElement.	-	Spatial_Engine
IEndDir	Vector	Gets the tangent vector at the end of the curve.	-	Geometry_Engine
IEndPoint	Point	-	-	Geometry_Engine
IGeometry	ICurve	Queries the defining geometrical object which all spatial operations will act on.	-	Spatial_Engine
IGeometry	ICurve	-	-	Geometry_Engine
IHashArray	double[]	Returns a signature of the input geometry, useful for distance-based comparisons and diffing. The hash is computed as an array representing the coordinate of significant points taken on the geometry. The number of points is reduced to the minimum essential to determine uniquely any geometry. Additionally, the resulting points are transformed based on the source geometry type, to remove or minimize collisions. (Any transformation so performed is translational only, in order to support geometrical tolerance, i.e. numerical distance, when comparing GeometryHashes downstream).	-	Geometry_Engine
IIsClosed	bool	Checks if the ICurve is closed, i.e. forms a closed loop.	-	Geometry_Engine
IIsLinear	bool	Returns if the curve is Linear or not.	-	Geometry_Engine
IIsPlanar	bool	Checks if the IGeometry is planar, i.e. all of its parts fit in a single plane.	-	Geometry_Engine
IIsPlanar	bool	Checks whether all control points of an element lie in a single plane.	-	Spatial_Engine
IIsPolylinear	bool	Returns if the curve is polylinear or not.	-	Geometry_Engine
IIsSelfIntersecting	bool	Checks if any of the curves defining an IElement is closer to itself than the tolerance at any two points (is self intersecting). In case of IElement2D, does not check for intersections between external and internal curves, or between different internal curves.	-	Spatial_Engine
IIsSelfIntersecting	bool	Checks if any part of the the ICurve is intersecting with any other part of the curve.	-	Geometry_Engine
IIsValid	bool	-	-	Geometry_Engine
ILength	double	Calculates the length of a Curve.	Length [m]	Geometry_Engine
INormal	Vector	Interface method that returns a vector normal to the plane of any ICurve and oriented according to the right hand rule. Works only for closed and planar curves with an exception for single Arcs.	-	Geometry_Engine
INormals	List<Vector>	Interface method that returns the list of vectors normal to any IGeometry.	-	Geometry_Engine
IPrimaryPropertyName	string	Returns the name of an elements primary defining property	-	Facade_Engine
IsClosed	bool	Checks if the Arc is closed, i.e. forms a closed loop by checking if the end points are within tolerance of each other.	-	Geometry_Engine
IsLinear	bool	Returns if the curve is Linear or not. For a Arc this always returns false.	-	Geometry_Engine
IsNull	bool	Checks if a Geometry is null and outputs relevant error message.	-	Geometry_Engine
IsNurbsCurve	bool	Queries if any part of the curve is a nurbs curve.	-	Geometry_Engine
IsPlanar	bool	Checks if the Arc is planar, i.e. all of its parts fit in a single plane. For a Arc this is always the case, why this method always returns true.	-	Geometry_Engine
IsPlanar	bool	Checks whether all control points of an element lie in a single plane.	-	Spatial_Engine
IsPolylinear	bool	Returns if the curve is polylinear or not. For a Arc this always returns false.	-	Geometry_Engine
IsSelfIntersecting	bool	Checks if any part of the the Curve is intersecting with any other part of the curve. For an Arc this is true if the angle range is larger than 2 PI, i.e. if the curve is overlapping itself.	-	Geometry_Engine
IsSelfIntersecting	bool	Checks if the one dimensional representation of the IElement1D is closer to itself than the tolerance at any two points.	-	Spatial_Engine
IStartDir	Vector	Gets the tangent vector at the start of the curve.	-	Geometry_Engine
IStartPoint	Point	-	-	Geometry_Engine
ISubParts	IEnumerable<ICurve>	-	-	Geometry_Engine
ISubParts	IEnumerable<IGeometry>	-	-	Geometry_Engine
IsValid	bool	-	-	Geometry_Engine
IsValid	bool	-	-	Geometry_Engine
Length	double	Calculates the length of an Arc.	Length [m]	Geometry_Engine
Length	double	Returns the length of the IElement1Ds curve.	Length [m]	Spatial_Engine
Normal	Vector	Returns a vector normal to the plane of an arc.	-	Geometry_Engine
PointInRegion	Point	-	-	Geometry_Engine
StartDir	Vector	Gets the tangent vector at the start of the Arc.	-	Geometry_Engine
StartPoint	Point	-	-	Geometry_Engine
ToEdges	List<Edge>	Returns a collection of Environment Edges from a BHoM Geomtry Polyline	-	Environment_Engine
Width	double	Returns the width of a BHoM Geometry ICurve based on the bounding box of the curve	-	Environment_Engine

Code and Schema¶

C# implementation¶

C#

public class Arc : BH.oM.Geometry.ICurve, BH.oM.Geometry.IGeometry, BH.oM.Base.IObject, BH.oM.Dimensional.IElement1D, BH.oM.Dimensional.IElement

Assembly: Geometry_oM.dll

The C# class definition is available on github:

Arc.cs

All history and changes of the class can be found by inspection the history.

JSON Schema implementation¶

The object is defined as a JSON schema. You can validate a JSON instance against this schema by reference. To do this, use the schema reference below in a validator like this one.

JSON Schema

{
 "$ref" : "https://raw.githubusercontent.com/BHoM/BHoM_JSONSchema/develop/Geometry_oM/Arc.json"
}

The JSON Schema is available on github here:

Arc.json

Example JSON instance¶

Example JSON instance of type Arc.

Example JSON

{
  "_t": "BH.oM.Geometry.Arc",
  "CoordinateSystem": {
    "_t": "BH.oM.Geometry.CoordinateSystem.Cartesian",
    "X": {
      "_t": "BH.oM.Geometry.Vector",
      "X": 1.0,
      "Y": 0.0,
      "Z": 0.0
    },
    "Y": {
      "_t": "BH.oM.Geometry.Vector",
      "X": 0.0,
      "Y": 1.0,
      "Z": 0.0
    },
    "Z": {
      "_t": "BH.oM.Geometry.Vector",
      "X": 0.0,
      "Y": 0.0,
      "Z": 1.0
    },
    "Origin": {
      "_t": "BH.oM.Geometry.Point",
      "X": 0.0,
      "Y": 0.0,
      "Z": 0.0
    }
  },
  "Radius": 5.0,
  "StartAngle": 0.0,
  "EndAngle": 3.1415926535897931,
  "_bhomVersion": "8.2"
}