public Vertex sub(Vertex other)
{
return new Vertex(this.x.theValue - other.x.theValue, this.y.theValue - other.y.theValue, this.z.theValue - other.z.theValue);
}
//For dealing with type Vertex
public int add(Vertex v)
{
int min_ix = (int)((v.x.theValue - this.threshold) / this.cell_width);
int min_iy = (int)((v.y.theValue - this.threshold) / this.cell_width);
int min_iz = (int)((v.z.theValue - this.threshold) / this.cell_width);
int max_ix = (int)((v.x.theValue + this.threshold) / this.cell_width);
int max_iy = (int)((v.y.theValue + this.threshold) / this.cell_width);
int max_iz = (int)((v.z.theValue + this.threshold) / this.cell_width);
for (int ix = min_ix; ix < max_ix + 1; ix++)
{
for (int iy = min_iy; iy < max_iy + 1; iy++)
{
for (int iz = min_iz; iz < max_iz + 1; iz++)
{
foreach (int index in this.buckets[(int)this.vertex_hash(ix, iy, iz)])
{
if (v.sub(this.vertices[index]).norm_sq() < this.threshold * this.threshold)
return index;
}
}
}
}
this.vertices.Add(v);
this.buckets[(int)this.vertex_hash((int)(v.x.theValue / this.cell_width), (int)(v.y.theValue / this.cell_width),
(int)(v.z.theValue / this.cell_width))].Add(this.vertices.Count - 1);
return (this.vertices.Count - 1);
}
public Vertex iadd(Vertex other)
{
this.x.theValue += other.x.theValue;
this.y.theValue += other.y.theValue;
this.z.theValue += other.z.theValue;
return this;
}
public Vertex isub(Vertex other)
{
this.x.theValue -= other.x.theValue;
this.y.theValue -= other.y.theValue;
this.z.theValue -= other.z.theValue;
return this;
}
public Triangle(Vertex u, Vertex v, Vertex w, int group)
{
this.u = u;
this.v = v;
this.w = w;
this.n = KCLWriter.unit(KCLWriter.cross(v.sub(u), w.sub(u)));
this.group = group;
}
public Vertex add(Vertex other)
{
return new Vertex(this.x.theValue + other.x.theValue, this.y.theValue + other.y.theValue, this.z.theValue + other.z.theValue);
}
//Base octree constructor
public Octree(List<Triangle> triangles, int max_triangles, float min_width)
{
this.triangles = triangles;
this.max_triangles = max_triangles;
this.min_width = min_width;
float min_x = 0, min_y = 0, min_z = 0, max_x = 0, max_y = 0, max_z = 0;
foreach (Triangle t in triangles)
{
float min_x0 = KCLWriter.min(KCLWriter.min(t.u.x.theValue, t.v.x.theValue, t.w.x.theValue));
if (min_x0 < min_x) min_x = min_x0;
float min_y0 = KCLWriter.min(KCLWriter.min(t.u.y.theValue, t.v.y.theValue, t.w.y.theValue));
if (min_y0 < min_y) min_y = min_y0;
float min_z0 = KCLWriter.min(KCLWriter.min(t.u.z.theValue, t.v.z.theValue, t.w.z.theValue));
if (min_z0 < min_z) min_z = min_z0;
float max_x0 = KCLWriter.max(KCLWriter.max(t.u.x.theValue, t.v.x.theValue, t.w.x.theValue));
if (max_x0 > max_x) max_x = max_x0;
float max_y0 = KCLWriter.max(KCLWriter.max(t.u.y.theValue, t.v.y.theValue, t.w.y.theValue));
if (max_y0 > max_y) max_y = max_y0;
float max_z0 = KCLWriter.max(KCLWriter.max(t.u.z.theValue, t.v.z.theValue, t.w.z.theValue));
if (max_z0 > max_z) max_z = max_z0;
}
// If model only uses two axes, eg. flat square, the base width will get set to min_width (1) which can
// create an octree with 100's of thousands of tiny empty or almost empty nodes is very computationally expensive
if (max_x == 0)
max_x = KCLWriter.max(max_y, max_z);
if (max_y == 0)
max_y = KCLWriter.max(max_x, max_z);
if (max_z == 0)
max_z = KCLWriter.max(max_x, max_y);
this.width_x = (float)Math.Pow(2, (int)(Math.Ceiling(Math.Log(KCLWriter.max(max_x - min_x, min_width), 2))));
this.width_y = (float)Math.Pow(2, (int)(Math.Ceiling(Math.Log(KCLWriter.max(max_y - min_y, min_width), 2))));
this.width_z = (float)Math.Pow(2, (int)(Math.Ceiling(Math.Log(KCLWriter.max(max_z - min_z, min_width), 2))));
this.base_width = KCLWriter.min(width_x, width_y, width_z);
this.bas = new Vertex(min_x, min_y, min_z);
this.nx = (int)Math.Floor(this.width_x / this.base_width);
this.ny = (int)Math.Floor(this.width_y / this.base_width);
this.nz = (int)Math.Floor(this.width_z / this.base_width);
List<int> ind = new List<int>();
for (int i = 0; i < triangles.Count; i++)
ind.Add(i);
for (int k = 0; k < this.nz; k++)
{
for (int j = 0; j < this.ny; j++)
{
for (int i = 0; i < this.nx; i++)
{
this.children.Add(new Octree(this.bas.add((new Vertex(i, j, k)).mul(this.base_width)), this.base_width,
ind, this.triangles, this.max_triangles, this.min_width));
}
}
}
}
//Constructor for creating nodes in the octree
public Octree(Vertex bas, float width, List<int> indices, List<Triangle> triangles, int max_triangles, float min_width)
{
Vertex centre = bas.add(new Vertex(width, width, width).truediv(2f));
this.triangles = triangles;
this.max_triangles = max_triangles;
this.min_width = min_width;
this.width_x /= 2f;
this.width_y /= 2f;
this.width_z /= 2f;
this.base_width = KCLWriter.min(width_x, width_y, width_z);
this.bas = new Vertex(width / 2f, width / 2f, width / 2f);
foreach (int i in indices)
{
if (KCLWriter.tribox_overlap(this.triangles[i], centre, width / 2f))
{
this.indices.Add(i);
}
}
this.is_leaf = true;
//Console.WriteLine("node hw: " + width / 2f + " num of indices: " + this.indices.Count);
if (this.indices.Count > this.max_triangles && width >= (2 * this.min_width))
{
for (int k = 0; k < 2; k++)
{
for (int j = 0; j < 2; j++)
{
for (int i = 0; i < 2; i++)
{
this.children.Add(new Octree(bas.add(new Vertex((float)i, (float)j, (float)k).truediv(2f).mul(width)), width / 2,
this.indices, this.triangles, this.max_triangles, this.min_width));
}
}
}
this.indices.Clear();
this.is_leaf = false;
}
}
private static List<Triangle> readLoadedModel(ModelBase model, float faceSizeThreshold, Dictionary<string, int> matColTypes)
{
List<Triangle> triangles = new List<Triangle>();
foreach (ModelBase.BoneDef bone in model.m_BoneTree)
{
foreach (ModelBase.GeometryDef geometry in bone.m_Geometries.Values)
{
foreach (ModelBase.PolyListDef polyList in geometry.m_PolyLists.Values)
{
string material = polyList.m_MaterialName;
foreach (ModelBase.FaceListDef faceList in polyList.m_FaceLists)
{
foreach (ModelBase.FaceDef face in faceList.m_Faces)
{
if (face.m_NumVertices == 3)
{
Vertex u = new Vertex(
face.m_Vertices[0].m_Position.X, face.m_Vertices[0].m_Position.Y, face.m_Vertices[0].m_Position.Z);
Vertex v = new Vertex(
face.m_Vertices[1].m_Position.X, face.m_Vertices[1].m_Position.Y, face.m_Vertices[1].m_Position.Z);
Vertex w = new Vertex(
face.m_Vertices[2].m_Position.X, face.m_Vertices[2].m_Position.Y, face.m_Vertices[2].m_Position.Z);
//Below line gets rid of faces that are too small, original 0.001
if (cross(v.sub(u), w.sub(u)).norm_sq() < faceSizeThreshold) { continue; } //#TODO: find a better solution
triangles.Add(new Triangle(u, v, w, matColTypes[material]));
}
else if (face.m_NumVertices == 4)
{
Vertex u1 = new Vertex(
face.m_Vertices[0].m_Position.X, face.m_Vertices[0].m_Position.Y, face.m_Vertices[0].m_Position.Z);
Vertex v1 = new Vertex(
face.m_Vertices[1].m_Position.X, face.m_Vertices[1].m_Position.Y, face.m_Vertices[1].m_Position.Z);
Vertex w1 = new Vertex(
face.m_Vertices[3].m_Position.X, face.m_Vertices[3].m_Position.Y, face.m_Vertices[3].m_Position.Z);
//Below line gets rid of faces that are too small, original 0.001
if (cross(v1.sub(u1), w1.sub(u1)).norm_sq() < faceSizeThreshold) { continue; } //#TODO: find a better solution
triangles.Add(new Triangle(u1, v1, w1, matColTypes[material]));
Vertex u2 = new Vertex(
face.m_Vertices[1].m_Position.X, face.m_Vertices[1].m_Position.Y, face.m_Vertices[1].m_Position.Z);
Vertex v2 = new Vertex(
face.m_Vertices[2].m_Position.X, face.m_Vertices[2].m_Position.Y, face.m_Vertices[2].m_Position.Z);
Vertex w2 = new Vertex(
face.m_Vertices[3].m_Position.X, face.m_Vertices[3].m_Position.Y, face.m_Vertices[3].m_Position.Z);
//Below line gets rid of faces that are too small, original 0.001
if (cross(v2.sub(u2), w2.sub(u2)).norm_sq() < faceSizeThreshold) { continue; } //#TODO: find a better solution
triangles.Add(new Triangle(u2, v2, w2, matColTypes[material]));
}
}
}
}
}
}
return triangles;
}
public static bool tribox_overlap(Triangle triangle, Vertex centre, float half_width)
{
/*Intersection test for triangle and axis-aligned cube.
Test if the triangle intersects the axis-aligned cube given by the center
and half width. This algorithm is an adapted version of the algorithm
presented here:
http://fileadmin.cs.lth.se/cs/Personal/Tomas_Akenine-Moller/code/tribox3.txt
*/
Vertex u = triangle.u.sub(centre);
Vertex v = triangle.v.sub(centre);
Vertex w = triangle.w.sub(centre);
Vector n = triangle.n;
// Test for separation along the axes normal to the faces of the cube
if (max(u.x.theValue, v.x.theValue, w.x.theValue) < -half_width || min(u.x.theValue, v.x.theValue, w.x.theValue) > half_width) return false;
if (max(u.y.theValue, v.y.theValue, w.y.theValue) < -half_width || min(u.y.theValue, v.y.theValue, w.y.theValue) > half_width) return false;
if (max(u.z.theValue, v.z.theValue, w.z.theValue) < -half_width || min(u.z.theValue, v.z.theValue, w.z.theValue) > half_width) return false;
// Test for separation along the axis normal to the face of the triangle
float d = dot(n, u);
float r = half_width * (Math.Abs(n.x.theValue) + Math.Abs(n.y.theValue) + Math.Abs(n.z.theValue));
if (d < -r || d > r) return false;
// Test for separation along the axes parallel to the cross products of the
// edges of the triangle and the edges of the cube
if (edge_test(u, v, w, half_width)) return false;
if (edge_test(v, w, u, half_width)) return false;
if (edge_test(w, u, v, half_width)) return false;
// Triangle and cube intersects
return true;
}
public static bool edge_test(Vertex v0, Vertex v1, Vertex v2, float hw)
{
Vertex e = v1.sub(v0);
if (edge_axis_test(e.z.theValue, -e.y.theValue, v0.y.theValue, v0.z.theValue, v2.y.theValue, v2.z.theValue, hw))
return true;
if (edge_axis_test(-e.z.theValue, e.x.theValue, v0.x.theValue, v0.z.theValue, v2.x.theValue, v2.z.theValue, hw))
return true;
if (edge_axis_test(e.y.theValue, -e.x.theValue, v0.x.theValue, v0.y.theValue, v2.x.theValue, v2.y.theValue, hw))
return true;
return false;
}
public static float dot(Vertex a, Vector b)
{
return a.x.theValue * b.x.theValue + a.y.theValue * b.y.theValue + a.z.theValue * b.z.theValue;
}
//Vertex, Vector > Vector
public static Vector cross(Vertex a, Vector b)
{
return new Vector(a.y.theValue * b.z.theValue - a.z.theValue * b.y.theValue, a.z.theValue * b.x.theValue - a.x.theValue * b.z.theValue,
a.x.theValue * b.y.theValue - a.y.theValue * b.x.theValue);
}
