private static void AddToMesh(this Csg.Polygon p, ref Mesh mesh)
{
// Polygons coming back from Csg can have an arbitrary number
// of vertices. We need to retessellate the returned polygon.
var tess = new Tess();
tess.NoEmptyPolygons = true;
tess.AddContour(p.Vertices.ToContourVertices());
tess.Tessellate(WindingRule.Positive, LibTessDotNet.Double.ElementType.Polygons, 3);
for (var i = 0; i < tess.ElementCount; i++)
{
var a = tess.Vertices[tess.Elements[i * 3]].Position.ToVector3();
var b = tess.Vertices[tess.Elements[i * 3 + 1]].Position.ToVector3();
var c = tess.Vertices[tess.Elements[i * 3 + 2]].Position.ToVector3();
var uva = (Csg.Vector2D)tess.Vertices[tess.Elements[i * 3]].Data;
var uvb = (Csg.Vector2D)tess.Vertices[tess.Elements[i * 3 + 1]].Data;
var uvc = (Csg.Vector2D)tess.Vertices[tess.Elements[i * 3 + 2]].Data;
var v1 = mesh.AddVertex(a, uva.ToUV());
var v2 = mesh.AddVertex(b, uvb.ToUV());
var v3 = mesh.AddVertex(c, uvc.ToUV());
mesh.AddTriangle(v1, v2, v3);
}
}
internal static Mesh ToMesh(this Tess tess,
Transform transform = null,
Color color = default,
Vector3 normal = default)
{
var faceMesh = new Mesh();
(Vector3 U, Vector3 V)basis = (default(Vector3), default(Vector3));
for (var i = 0; i < tess.ElementCount; i++)
{
var a = tess.Vertices[tess.Elements[i * 3]].Position.ToVector3();
var b = tess.Vertices[tess.Elements[i * 3 + 1]].Position.ToVector3();
var c = tess.Vertices[tess.Elements[i * 3 + 2]].Position.ToVector3();
if (transform != null)
{
a = transform.OfPoint(a);
b = transform.OfPoint(b);
c = transform.OfPoint(c);
}
if (i == 0)
{
// Calculate the texture space basis vectors
// from the first triangle. This is acceptable
// for planar faces.
// TODO: Update this when we support non-planar faces.
// https://gamedev.stackexchange.com/questions/172352/finding-texture-coordinates-for-plane
basis = Tessellation.Tessellation.ComputeBasisAndNormalForTriangle(a, b, c, out Vector3 naturalNormal);
if (normal == default)
{
normal = naturalNormal;
}
}
var v1 = faceMesh.AddVertex(a, new UV(basis.U.Dot(a), basis.V.Dot(a)), normal, color: color);
var v2 = faceMesh.AddVertex(b, new UV(basis.U.Dot(b), basis.V.Dot(b)), normal, color: color);
var v3 = faceMesh.AddVertex(c, new UV(basis.U.Dot(c), basis.V.Dot(c)), normal, color: color);
faceMesh.AddTriangle(v1, v2, v3);
}
return(faceMesh);
}
/// <summary>
/// Construct a mesh from an STL file.
/// </summary>
/// <param name="stlPath">The path to the STL file.</param>
/// <param name="unit">The length unit used in the file.</param>
/// <returns></returns>
public static Mesh FromSTL(string stlPath, LengthUnit unit = LengthUnit.Millimeter)
{
List <Vertex> vertexCache = new List <Vertex>();
var mesh = new Mesh();
var conversion = Units.GetConversionToMeters(unit);
using (var reader = new StreamReader(stlPath))
{
string line;
while ((line = reader.ReadLine()) != null)
{
line = line.TrimStart();
if (line.StartsWith("facet"))
{
vertexCache.Clear();
}
if (line.StartsWith("vertex"))
{
var splits = line.Split(' ');
var x = double.Parse(splits[1]) * conversion;
var y = double.Parse(splits[2]) * conversion;
var z = double.Parse(splits[3]) * conversion;
var v = new Vertex(new Vector3(x, y, z));
mesh.AddVertex(v);
vertexCache.Add(v);
}
if (line.StartsWith("endfacet"))
{
var t = new Triangle(vertexCache[0], vertexCache[1], vertexCache[2]);
if (!HasDuplicatedVertices(t, out _))
{
mesh.AddTriangle(t);
}
}
}
}
mesh.ComputeNormals();
return(mesh);
}
public static Elements.Geometry.Mesh ToMesh(this MeshData vMesh)
{
var mesh = new Elements.Geometry.Mesh();
var vertices = new List <Vertex>();
for (int i = 0; i < vMesh.points.length; i++)
{
var pt = (vMesh.points[i] as Array <double>).ToVector3();
var normal = (vMesh.normals[i] as Array <double>).ToVector3();
var vertex = new Vertex(pt, normal);
vertices.Add(vertex);
mesh.AddVertex(vertex);
}
Console.WriteLine(vertices.Count);
for (int i = 0; i < vMesh.faces.length; i++)
{
var face = vMesh.faces[i] as Array <int>;
mesh.AddTriangle(vertices[face[2]], vertices[face[1]], vertices[face[0]]);
}
return(mesh);
}
/// <summary>
/// Generates a Roof from a DXF Polyline and supplied elevation and thickness values.
/// </summary>
/// <param name="model">The input model.</param>
/// <param name="input">The arguments to the execution.</param>
/// <returns>A RoofByDXFOutputs instance containing computed results and the model with any new elements.</returns>
public static RoofByDXFOutputs Execute(Dictionary <string, Model> inputModels, RoofByDXFInputs input)
{
DxfFile dxfFile;
using (FileStream fs = new FileStream(input.DXF.LocalFilePath, FileMode.Open))
{
dxfFile = DxfFile.Load(fs);
}
var polygons = new List <Polygon>();
foreach (DxfEntity entity in dxfFile.Entities)
{
if (entity.EntityType != DxfEntityType.LwPolyline)
{
continue;
}
var pline = (DxfLwPolyline)entity;
if (pline.IsClosed == false)
{
continue;
}
var vertices = pline.Vertices.ToList();
var verts = new List <Vector3>();
vertices.ForEach(v => verts.Add(new Vector3(v.X, v.Y)));
polygons.Add(new Polygon(verts));
}
if (polygons.Count == 0)
{
throw new ArgumentException("No LWPolylines found in DXF.");
}
var highPoint = input.RoofElevation + input.RoofThickness;
polygons = polygons.OrderByDescending(p => Math.Abs(p.Area())).ToList();
var polygon = polygons.First().IsClockWise() ? polygons.First().Reversed() : polygons.First();
polygon = polygon.TransformedPolygon(new Transform(0.0, 0.0, highPoint));
var underBoundary = polygon.TransformedPolygon(new Transform(0.0, 0.0, input.RoofThickness * -1.0));
var ePoints = polygon.Vertices.ToList();
var uPoints = underBoundary.Vertices.ToList();
var topSide = polygon.ToMesh(true);
var underSide = underBoundary.ToMesh(false);
var sideTriangles = new List <Elements.Geometry.Triangle>();
for (var i = 0; i < ePoints.Count; i++)
{
sideTriangles.Add(new Elements.Geometry.Triangle(new Vertex(ePoints[i]),
new Vertex(uPoints[i]),
new Vertex(uPoints[(i + 1) % uPoints.Count])));
sideTriangles.Add(new Elements.Geometry.Triangle(new Vertex(ePoints[i]),
new Vertex(uPoints[(i + 1) % uPoints.Count]),
new Vertex(ePoints[(i + 1) % ePoints.Count])));
}
// Create an aggregated list of Triangles representing the Roof envelope.
var envTriangles = new List <Elements.Geometry.Triangle>();
topSide.Triangles.ForEach(t => envTriangles.Add(t));
underSide.Triangles.ForEach(t => envTriangles.Add(t));
sideTriangles.ForEach(t => envTriangles.Add(t));
// Create an aggregated list of Vertices representing the Roof envelope.
var enVertices = new List <Vertex>();
envTriangles.ForEach(t => enVertices.AddRange(t.Vertices));
// Construct the roof envelope in Elements.Geometry.mesh form.
var Envelope = new Elements.Geometry.Mesh();
envTriangles.ForEach(t => Envelope.AddTriangle(t));
enVertices.ForEach(v => Envelope.AddVertex(v));
Envelope.ComputeNormals();
// Construct serializable topside mesh
var triangles = new List <triangles>();
var indices = new List <vertices>();
var tsIV = topSide.ToIndexedVertices();
tsIV.triangles.ForEach(t => triangles.Add(new triangles(t)));
tsIV.vertices.ForEach(v => indices.Add(new vertices(v.index, v.isBoundary, v.position)));
var topside = new Elements.Mesh(triangles, indices);
// Construct serializable underside mesh
triangles.Clear();
indices.Clear();
var usIV = underSide.ToIndexedVertices();
usIV.triangles.ForEach(t => triangles.Add(new triangles(t)));
usIV.vertices.ForEach(v => indices.Add(new vertices(v.index, v.isBoundary, v.position)));
var underside = new Elements.Mesh(triangles, indices);
// Construct serializable envelope mesh
triangles.Clear();
indices.Clear();
var enIV = Envelope.ToIndexedVertices();
enIV.triangles.ForEach(t => triangles.Add(new triangles(t)));
enIV.vertices.ForEach(v => indices.Add(new vertices(v.index, v.isBoundary, v.position)));
var envelope = new Elements.Mesh(triangles, indices);
var roof =
new Roof(
envelope,
topside,
underside,
underBoundary,
input.RoofElevation,
highPoint,
input.RoofThickness,
polygon.Area(),
new Transform(),
BuiltInMaterials.Concrete,
null, false, Guid.NewGuid(), "Roof");
var output = new RoofByDXFOutputs(polygon.Area());
output.Model.AddElement(new MeshElement(Envelope, BuiltInMaterials.Concrete));
output.Model.AddElement(roof);
return(output);
}
/// <summary>
/// A mesh sphere.
/// </summary>
/// <param name="radius">The radius of the sphere.</param>
/// <param name="divisions">The number of tessellations of the sphere.</param>
/// <returns>A mesh.</returns>
public static Mesh Sphere(double radius, int divisions = 10)
{
if (divisions < 2)
{
throw new ArgumentException(nameof(divisions), "The number of divisions must be greater than 2.");
}
var arc = new Arc(Vector3.Origin, radius, 0, 180).ToPolyline(divisions);
var t = new Transform();
var vertices = new Vertex[divisions + 1, divisions + 1];
var mesh = new Mesh();
var div = 360.0 / divisions;
for (var u = 0; u <= divisions; u++)
{
if (u > 0)
{
t.Rotate(Vector3.XAxis, div);
}
for (var v = 1; v < divisions; v++)
{
var pt = t.OfPoint(arc.Vertices[v]);
var vx = new Vertex(pt)
{
UV = new UV((double)v / (double)divisions, (double)u / (double)divisions)
};
vertices[u, v] = vx;
mesh.AddVertex(vx);
if (u > 0 && v > 1)
{
var a = vertices[u, v];
var b = vertices[u, v - 1];
var c = vertices[u - 1, v - 1];
var d = vertices[u - 1, v];
mesh.AddTriangle(a, b, c);
mesh.AddTriangle(a, c, d);
}
}
}
var p1 = new Vertex(arc.Start)
{
UV = new UV(0, 0)
};
var p2 = new Vertex(arc.End)
{
UV = new UV(1, 1)
};
mesh.AddVertex(p1);
mesh.AddVertex(p2);
// Make the end caps separately to manage the singularity
// at the poles. Attempting to do this in the algorithm above
// will result in duplicate vertices for every arc section, which
// is currently illegal in meshes.
// TODO: This causes spiraling of the UV coordinates at the poles.
for (var u = 1; u <= divisions; u++)
{
mesh.AddTriangle(p1, vertices[u - 1, 1], vertices[u, 1]);
mesh.AddTriangle(p2, vertices[u, divisions - 1], vertices[u - 1, divisions - 1]);
}
mesh.ComputeNormals();
return(mesh);
}
/// <summary>
/// Creates a Roof from a supplied Polygon sketch and a supplied elevation.
/// </summary>
/// <param name="model">The input model.</param>
/// <param name="input">The arguments to the execution.</param>
/// <returns>A RoofBySketchOutputs instance containing computed results and the model with any new elements.</returns>
public static RoofBySketchOutputs Execute(Dictionary <string, Model> inputModels, RoofBySketchInputs input)
{
var topSide = new Elements.Geometry.Mesh();
var area = 0.0;
foreach (var triangle in input.Mesh.Triangles)
{
var a = topSide.AddVertex(triangle.Vertices[0].Position);
var b = topSide.AddVertex(triangle.Vertices[1].Position);
var c = topSide.AddVertex(triangle.Vertices[2].Position);
var triAng =
new Elements.Geometry.Triangle(a, b, c);
topSide.AddTriangle(triAng);
area += triAng.Area();
}
topSide.ComputeNormals();
// Find the Mesh's lowest point and use the
// roof thickness to the set the Roof's underside elevation.
var vertices = input.Mesh.Vertices.ToList();
vertices = vertices.OrderBy(v => v.Position.Z).ToList();
var elevation = vertices.First().Position.Z - input.Thickness;
// Find the topSide Mesh's perimeter points and use them to
// construct a Mesh representing the underside of the Roof.
var perimeter = topSide.EdgesPerimeters().First();
var ePoints = new List <Vector3>();
perimeter.ForEach(e => ePoints.AddRange(e.Points()));
ePoints = ePoints.Distinct().ToList();
var uPoints = new List <Vector3>();
ePoints.ForEach(p => uPoints.Add(new Vector3(p.X, p.Y, elevation)));
var underBoundary = new Polygon(uPoints);
var underSide = underBoundary.ToMesh(false);
// Use the topSide Mesh's edgePoints and the lower Mesh's underPoints
// to construct a series of triangles forming the sides of the Roof.
var sideTriangles = new List <Elements.Geometry.Triangle>();
for (var i = 0; i < ePoints.Count; i++)
{
sideTriangles.Add(
new Elements.Geometry.Triangle(new Vertex(ePoints[i]),
new Vertex(uPoints[i]),
new Vertex(uPoints[(i + 1) % uPoints.Count])));
sideTriangles.Add(
new Elements.Geometry.Triangle(new Vertex(ePoints[i]),
new Vertex(uPoints[(i + 1) % uPoints.Count]),
new Vertex(ePoints[(i + 1) % ePoints.Count])));
}
// Construct the roof envelope in Elements.Geometry.mesh form.
// We add vertices individually by position so that we don't affect
// the original vertices of hte individual faces
var Envelope = new Elements.Geometry.Mesh();
foreach (var t in topSide.Triangles)
{
var a = Envelope.AddVertex(t.Vertices[0].Position);
var b = Envelope.AddVertex(t.Vertices[1].Position);
var c = Envelope.AddVertex(t.Vertices[2].Position);
Envelope.AddTriangle(new Triangle(a, b, c));
}
foreach (var t in underSide.Triangles)
{
var a = Envelope.AddVertex(t.Vertices[0].Position);
var b = Envelope.AddVertex(t.Vertices[1].Position);
var c = Envelope.AddVertex(t.Vertices[2].Position);
Envelope.AddTriangle(new Triangle(a, b, c));
}
foreach (var t in sideTriangles)
{
var a = Envelope.AddVertex(t.Vertices[0].Position);
var b = Envelope.AddVertex(t.Vertices[1].Position);
var c = Envelope.AddVertex(t.Vertices[2].Position);
Envelope.AddTriangle(new Triangle(a, b, c));
}
// enVertices.ToList().ForEach(v => Envelope.AddVertex(v));
// envTriangles.ToList().ForEach(t => Envelope.AddTriangle(t));
Envelope.ComputeNormals();
//Record roof high point from topSide mesh.
var highPoint = topSide.Points().OrderByDescending(p => p.Z).First().Z;
// // code for when debugging the function.
// var envelope = MakeEnvelope();
// var topside = MakeTopside();
// var underside = MakeUnderside();
// var underBoundary = Polygon.Rectangle(20.0, 20.0);
// var elevation = 10.0;
// var highPoint = 15.0;
// var area = 100.0;
var roof =
new Roof(
Envelope,
topSide,
underSide,
underBoundary,
elevation,
highPoint,
input.Thickness,
area,
new Transform(),
BuiltInMaterials.Concrete,
null, false, Guid.NewGuid(), "Roof");
var output = new RoofBySketchOutputs(area);
output.Model.AddElement(new MeshElement(Envelope, BuiltInMaterials.Concrete));
output.Model.AddElement(roof);
return(output);
}