/// <summary>
/// Geo Arc Constructor: Vertex, Vertex, Vertex (V3)
/// The V3 Constructor takes three vertices that the arc must pass through and
/// calculates all of the other properties of the arc
/// </summary>
/// <param name="vertex0">The Starting Vertex</param>
/// <param name="middleVertex">The Middle Vertex</param>
/// <param name="vertex1">The Ending Vertex</param>
public GeoArc(Vertex vertex0, Vertex middleVertex, Vertex vertex1)
{
// Vertex 0
_vertex0 = vertex0;
Vertex0.PropertyChanged += Vertex0OnPropertyChanged;
// Middle Vertex
_arcMiddleVertex = middleVertex;
MiddleVertex.PropertyChanged += MiddleVertexOnPropertyChanged;
// Vertex 1
_vertex1 = vertex1;
Vertex1.PropertyChanged += Vertex1OnPropertyChanged;
// Center Vertex
_centerVertex = CalcCenterVertex(Vertex0, MiddleVertex, Vertex1);
CenterVertex.PropertyChanged += CenterVertexOnPropertyChanged;
// Starting Angle
_startAngle = Vector.AngleBetweenVectors(
new Vector(CenterVertex, vertex0), UnitVectors.XUnitVector
);
// Ending Angle
_endAngle = Vector.AngleBetweenVectors(
new Vector(CenterVertex, Vertex1), UnitVectors.XUnitVector
);
// Total Angle
Angle = EndAngle - StartAngle;
// Bulge
_bulge = Bulge.CalcBulge(Angle);
// Radius
_radius = GeoMath.Distance(CenterVertex, vertex0);
// Geometric Properties
Length = CalcLength();
Area = CalcArea();
}
/// <summary>
/// GeoArc Constructor: Center Vertex, Starting Angle, Ending Angle and Radius (CAAR)
/// </summary>
/// <param name="centerVertex">The Center Vertex of the GeoArc</param>
/// <param name="startAngle">The Starting Angle (Radians)</param>
/// <param name="endAngle">The Ending Angle (Radians)</param>
/// <param name="radius">The Radius of the Arc</param>
public GeoArc(Vertex centerVertex, double startAngle, double endAngle, double radius)
{
// Set Type
GeometryEntityType = GeometryEntityTypes.GeoArc;
// Center Vertex
_centerVertex = centerVertex;
CenterVertex.PropertyChanged += CenterVertexOnPropertyChanged;
// Start Angle
_startAngle = startAngle;
// End Angle
_endAngle = endAngle;
// Radius
_radius = radius;
// Angle
Angle = EndAngle - StartAngle;
// Bulge
_bulge = Bulge.CalcBulge(Angle);
// Vertex0
_vertex0 = CalcPointOnArc(CenterVertex, StartAngle, Radius);
Vertex0.PropertyChanged += Vertex0OnPropertyChanged;
// Vertex1
_vertex1 = CalcPointOnArc(CenterVertex, EndAngle, Radius);
Vertex1.PropertyChanged += Vertex1OnPropertyChanged;
// Middle Vertex
_arcMiddleVertex = CalcMiddlePoint();
MiddleVertex.PropertyChanged += MiddleVertexOnPropertyChanged;
Length = CalcLength();
Area = CalcArea();
}
private double _radius; // The radius of the arc
#endregion
#region Constructors
/// <summary>
/// GeoArc from Starting Vertex (<paramref name="vertex0" />)
/// ending Vertex (<paramref name="vertex1" />) and a bulge
/// </summary>
/// <param name="vertex0">First Vertex</param>
/// <param name="vertex1">Second Vertex</param>
/// <param name="bulge">The Bulge</param>
public GeoArc(Vertex vertex0, Vertex vertex1, double bulge)
{
// Set type
GeometryEntityType = GeometryEntityTypes.GeoArc;
// Set Variables
// Vertex0
_vertex0 = vertex0;
Vertex0.PropertyChanged += Vertex0OnPropertyChanged;
// Vertex1
_vertex1 = vertex1;
Vertex1.PropertyChanged += Vertex1OnPropertyChanged;
// Bulge
_bulge = bulge;
// Angle
Angle = Bulge.Angle(BulgeValue);
// Radius
_radius = Bulge.Radius(Vertex0, Vertex1, Angle);
// Center Vertex
_centerVertex = CalcCenterVertex(Vertex0, Vertex1, BulgeValue);
CenterVertex.PropertyChanged += CenterVertexOnPropertyChanged;
// Start Angle
_startAngle = Vector.AngleBetweenVectors(
new Vector(CenterVertex, Vertex0), UnitVectors.XUnitVector
);
// End Angle
_endAngle = Vector.AngleBetweenVectors(
new Vector(CenterVertex, Vertex1), UnitVectors.XUnitVector
);
// Middle Vertex
_arcMiddleVertex = CalcMiddlePoint();
MiddleVertex.PropertyChanged += MiddleVertexOnPropertyChanged;
// Calculate Geometry
Length = CalcLength();
Area = CalcArea();
}
/// <summary>
/// Calculates the distance between two points as it follows
/// an arc that is defined by a bulge.
/// </summary>
/// <param name="v0">The First Vertex</param>
/// <param name="v1">The Second Vertex</param>
/// <param name="bulge">The Bulge</param>
/// <returns>
/// A double values that represents the length
/// along the arc defined by the two points and
/// the Bulge
/// </returns>
public static double Distance(Vertex v0, Vertex v1, double bulge)
{
return(Bulge.Length(Bulge.Radius(v0, v1, Bulge.Angle(bulge)), Bulge.Angle(bulge)));
}