/// <summary>
/// Radian angle from a centre to another point
/// </summary>
/// <param name="centre"></param>
/// <param name="point"></param>
/// <returns name="rad">Radians</returns>
internal static double RadAngle(DSPoint centre, DSPoint point)
{
Vertex v1 = Vertex.ByCoordinates(centre.X, centre.Y, centre.Z);
Vertex v2 = Vertex.ByCoordinates(point.X, point.Y, point.Z);
return(Vertex.RadAngle(v1, v2));
}
public static Surface IsovistFromPoint(BaseGraph baseGraph, DSPoint point)
{
if (baseGraph == null)
{
throw new ArgumentNullException("graph");
}
if (point == null)
{
throw new ArgumentNullException("point");
}
Vertex origin = Vertex.ByCoordinates(point.X, point.Y, point.Z);
List <Vertex> vertices = Graphical.Graphs.VisibilityGraph.VertexVisibility(origin, baseGraph.graph);
List <DSPoint> points = vertices.Select(v => Points.ToPoint(v)).ToList();
Surface isovist;
// TODO: Implement better way of checking if polygon is self intersecting
Autodesk.DesignScript.Geometry.Polygon polygon = Autodesk.DesignScript.Geometry.Polygon.ByPoints(points);
//fix back
//
// if(Graphical.Geometry.Polygon.Intersection(polygon).Length > 0)
// {
// points.Add(point);
// polygon = Polygon.by(points);
//
// }
return(Surface.ByPatch(polygon));
}
public static Dictionary <string, object> ShortestPath(VisibilityGraph visGraph, DSPoint origin, DSPoint destination)
{
if (visGraph == null)
{
throw new ArgumentNullException("visGraph");
}
if (origin == null)
{
throw new ArgumentNullException("origin");
}
if (destination == null)
{
throw new ArgumentNullException("destination");
}
Vertex gOrigin = Vertex.ByCoordinates(origin.X, origin.Y, origin.Z);
Vertex gDestination = Vertex.ByCoordinates(destination.X, destination.Y, destination.Z);
Graphical.Graphs.VisibilityGraph visibilityGraph = visGraph.graph as Graphical.Graphs.VisibilityGraph;
BaseGraph baseGraph = new BaseGraph()
{
graph = Graphical.Graphs.VisibilityGraph.ShortestPath(visibilityGraph, gOrigin, gDestination)
};
return(new Dictionary <string, object>()
{
{ "graph", baseGraph },
{ "length", baseGraph.graph.Edges.Select(e => e.Length).Sum() }
});
}
/// <summary>
/// Creates a Graph by a set of boundary and internal polygons.
/// </summary>
/// <param name="boundaries">Boundary polygons</param>
/// <param name="internals">Internal polygons</param>
/// <returns name="baseGraph">Base graph</returns>
public static BaseGraph ByBoundaryAndInternalPolygons(List <Polygon> boundaries, [DefaultArgument("[]")] List <Polygon> internals)
{
if (boundaries == null)
{
throw new NullReferenceException("boundaryPolygons");
}
if (internals == null)
{
throw new NullReferenceException("internalPolygons");
}
List <Polygon> input = new List <Polygon>();
foreach (Polygon pol in boundaries)
{
var vertices = pol.Vertices.Select(pt => Vertex.ByCoordinates(pt.X, pt.Y, pt.Z)).ToList();
Polygon gPol = Polygon.ByVertices(vertices, true);
input.Add(gPol);
}
foreach (Polygon pol in internals)
{
var vertices = pol.Vertices.Select(pt => Vertex.ByCoordinates(pt.X, pt.Y, pt.Z)).ToList();
Polygon gPol = Polygon.ByVertices(vertices, false);
input.Add(gPol);
}
return(new BaseGraph(input));
}
internal static bool DoesIntersect(Line line, DSPoint point)
{
Edge edge = Edge.ByStartVertexEndVertex(Points.ToVertex(line.StartPoint), Points.ToVertex(line.EndPoint));
Vertex vertex = Points.ToVertex(point);
return(vertex.OnEdge(edge));
}
/// <summary>
/// Radian angle between two points from a centre.
/// </summary>
/// <param name="centre"></param>
/// <param name="start"></param>
/// <param name="end"></param>
/// <returns></returns>
public static double StartEndRadiansFromCentre(DSPoint centre, DSPoint start, DSPoint end)
{
Vertex c = ToVertex(centre);
Vertex s = ToVertex(start);
Vertex e = ToVertex(end);
return(Vertex.ArcRadAngle(c, s, e));
}
internal static bool PolygonContainsPoint(Polygon polygon, DSPoint point)
{
Vertex vertex = Points.ToVertex(point);
var vertices = polygon.Vertices.Select(p => Points.ToVertex(point)).ToList();
Polygon gPolygon = null;
gPolygon = Polygon.ByVertices(vertices, false);
return(gPolygon.ContainsVertex(vertex));
}
public static Dictionary <string, object> BuildPolygons(List <Line> lines)
{
if (lines == null)
{
throw new ArgumentNullException("lines");
}
if (lines.Count < 2)
{
throw new ArgumentException("Needs 2 or more lines", "lines");
}
BaseGraph g = BaseGraph.ByLines(lines);
g.graph.BuildPolygons();
var gPolygons = g.graph.Polygons;
List <Polygon> dsPolygons = new List <Polygon>();
List <Line> dsLines = new List <Line>();
List <Edge> polygonEdges = new List <Edge>();
foreach (Polygon gP in gPolygons)
{
var vertices = gP.Vertices.Select(v => Vertex.ByCoordinates(v.X, v.Y, v.Z)).ToList();
if (gP.IsClosed)
{
dsPolygons.Add(Polygon.ByVertices(vertices));
}
else if (gP.Edges.Count > 1)
{
foreach (Edge edge in gP.Edges)
{
DSPoint start = Points.ToPoint(edge.StartVertex);
DSPoint end = Points.ToPoint(edge.EndVertex);
dsLines.Add(Line.ByStartPointEndPoint(start, end));
}
}
else
{
DSPoint start = Points.ToPoint(gP.Edges.First().StartVertex);
DSPoint end = Points.ToPoint(gP.Edges.First().EndVertex);
dsLines.Add(Line.ByStartPointEndPoint(start, end));
}
}
return(new Dictionary <string, object>()
{
{ "polygons", dsPolygons },
{ "ungrouped", dsLines }
});
}
/// <summary>
/// Creates a graph by a set of closed polygons
/// </summary>
/// <param name="polygons">Polygons</param>
/// <returns name="baseGraph">Base graph</returns>
public static BaseGraph ByPolygons(List <Polygon> polygons)
{
if (polygons == null)
{
throw new NullReferenceException("polygons");
}
List <Polygon> input = new List <Polygon>();
foreach (Polygon pol in polygons)
{
var vertices = pol.Vertices.Select(pt => Vertex.ByCoordinates(pt.X, pt.Y, pt.Z)).ToList();
Polygon gPol = Polygon.ByVertices(vertices, false);
input.Add(gPol);
}
return(new BaseGraph(input));
}
/// <summary>
/// Creates a new Graph by a set of lines.
/// </summary>
/// <param name="lines">Lines</param>
/// <returns name="baseGraph">Base Graph</returns>
public static BaseGraph ByLines(List <Line> lines)
{
if (lines == null)
{
throw new NullReferenceException("lines");
}
BaseGraph g = new BaseGraph()
{
graph = new Graphical.Graphs.Graph()
};
foreach (Line line in lines)
{
Vertex start = Geometry.Points.ToVertex(line.StartPoint);
Vertex end = Geometry.Points.ToVertex(line.EndPoint);
g.graph.AddEdge(Edge.ByStartVertexEndVertex(start, end));
}
return(g);
}
internal static Dictionary <Vertex, List <DSCurve> > CurvesDependency(List <DSCurve> curves)
{
Dictionary <Vertex, List <DSCurve> > graph = new Dictionary <Vertex, List <DSCurve> >();
foreach (DSCurve curve in curves)
{
Vertex start = Points.ToVertex(curve.StartPoint);
Vertex end = Points.ToVertex(curve.EndPoint);
List <DSCurve> startList = new List <DSCurve>();
List <DSCurve> endList = new List <DSCurve>();
if (graph.TryGetValue(start, out startList))
{
startList.Add(curve);
}
else
{
graph.Add(start, new List <DSCurve>()
{
curve
});
}
if (graph.TryGetValue(end, out endList))
{
endList.Add(curve);
}
else
{
graph.Add(end, new List <DSCurve>()
{
curve
});
}
}
return(graph);
}
internal static DSPoint ToPoint(this Vertex vertex)
{
return(DSPoint.ByCoordinates(vertex.X, vertex.Y, vertex.Z));
}
internal static Vertex ToVertex(this DSPoint point)
{
return(Vertex.ByCoordinates(point.X, point.Y, point.Z));
}
//Vector-plane intersection https://math.stackexchange.com/questions/100439/determine-where-a-vector-will-intersect-a-plane
#region Public Methods
/// <summary>
/// Returns the mid point between two points.
/// </summary>
/// <param name="point1"></param>
/// <param name="point2"></param>
/// <returns></returns>
public static DSPoint MidPoint(DSPoint point1, DSPoint point2)
{
Vertex midVertex = Vertex.MidVertex(ToVertex(point1), ToVertex(point2));
return(ToPoint(midVertex));
}
internal static void AddColouredVertex(IRenderPackage package, Vertex vertex, DSCore.Color color)
{
package.AddPointVertex(vertex.X, vertex.Y, vertex.Z);
package.AddPointVertexColor(color.Red, color.Green, color.Blue, color.Alpha);
}
public static Dictionary <string, object> GroupCurves(List <DSCurve> curves)
{
if (curves == null)
{
throw new ArgumentNullException("lines");
}
if (curves.Count < 2)
{
throw new ArgumentException("Needs 2 or more lines", "lines");
}
Dictionary <Vertex, List <DSCurve> > graph = CurvesDependency(curves);
Dictionary <int, List <DSCurve> > grouped = new Dictionary <int, List <DSCurve> >();
Dictionary <Vertex, int> vertices = new Dictionary <Vertex, int>();
foreach (Vertex v in graph.Keys)
{
// If already belongs to a polygon or is not a polygon vertex or already computed
if (vertices.ContainsKey(v) || graph[v].Count > 2)
{
continue;
}
// grouped.Count() translates to the number of different groups created
vertices.Add(v, grouped.Count());
grouped.Add(vertices[v], new List <DSCurve>());
foreach (DSCurve curve in graph[v])
{
var startVertex = Points.ToVertex(curve.StartPoint);
var endVertex = Points.ToVertex(curve.EndPoint);
DSCurve nextCurve = curve;
Vertex nextVertex = (startVertex.Equals(v)) ? endVertex : startVertex;
while (!vertices.ContainsKey(nextVertex))
{
vertices.Add(nextVertex, vertices[v]);
grouped[vertices[v]].Add(nextCurve);
// Next vertex doesn't have any other curve connected.
if (graph[nextVertex].Count < 2)
{
break;
}
nextCurve = graph[nextVertex].Where(c => !c.Equals(nextCurve)).First();
startVertex = Points.ToVertex(nextCurve.StartPoint);
endVertex = Points.ToVertex(nextCurve.EndPoint);
nextVertex = (startVertex.Equals(nextVertex)) ? endVertex : startVertex;
}
if (!grouped[vertices[v]].Last().Equals(nextCurve))
{
grouped[vertices[v]].Add(nextCurve);
}
}
}
List <PolyCurve> polyCurves = new List <PolyCurve>();
List <DSCurve> ungrouped = new List <DSCurve>();
foreach (var group in grouped.Values)
{
if (group.Count > 1)
{
polyCurves.Add(PolyCurve.ByJoinedCurves(group));
}
else
{
ungrouped.Add(group.First());
}
}
return(new Dictionary <string, object>()
{
{ "polycurves", polyCurves },
{ "ungrouped", ungrouped }
});
}