private void SortExternalPoints() //Used to sort the external points clockwise from the centre of the map { for (int j = externalPoints.Count; j > 0; --j) //For all external points { bool swapsMade = false; //Say no swaps have been made for (int k = 1; k < j; ++k) //While k is less than j (anything above current j value is sorted) { float angleK = MathsFunctions.RotationOfLine(new Vector3(60f, 60f, 0f), externalPoints[k].transform.position); //Get the angle the current external point makes with the centre float angleKMinus1 = MathsFunctions.RotationOfLine(new Vector3(60f, 60f, 0f), externalPoints[k - 1].transform.position); //Get the angle the previous point makes with the centre if (angleK < angleKMinus1) //Sort smallest to largest { GameObject tempExternal = externalPoints[k]; //Create a temporary gameobject to store the point externalPoints[k] = externalPoints[k - 1]; //And swap them externalPoints[k - 1] = tempExternal; swapsMade = true; //A swap has been made } } if (swapsMade == false) //If no swaps made, list must have been sorted { break; //So break } } }
private void SortConnectionsByAngle(int i) //Sorts the permanent connections of a system into clockwise order from first added connection { Vector3 zeroVector = MasterScript.systemListConstructor.systemList [i].systemObject.transform.position; //Centre which other points are relevant to for (int j = MasterScript.systemListConstructor.systemList[i].permanentConnections.Count; j > 0; --j) //For all connections { bool swapsMade = false; //Say no swaps have been made for (int k = 1; k < j; ++k) //Sort smallest to largest { float angleK = MathsFunctions.RotationOfLine(MasterScript.systemListConstructor.systemList[i].permanentConnections[k].transform.position, zeroVector); //Get angle between centre and this point float angleKMinusOne = MathsFunctions.RotationOfLine(MasterScript.systemListConstructor.systemList[i].permanentConnections[k - 1].transform.position, zeroVector); if (angleK < angleKMinusOne) { GameObject temp = MasterScript.systemListConstructor.systemList[i].permanentConnections[k]; MasterScript.systemListConstructor.systemList[i].permanentConnections[k] = MasterScript.systemListConstructor.systemList[i].permanentConnections[k - 1]; MasterScript.systemListConstructor.systemList[i].permanentConnections[k - 1] = temp; swapsMade = true; } } if (swapsMade == false) { break; } } }
public GameObject DrawDebugLine(Vector3 start, Vector3 end, Material mat) { float distance = Vector3.Distance(start, end); Vector3 vectRotation = new Vector3(0.0f, 0.0f, MathsFunctions.RotationOfLine(start, end) - 90f); Quaternion rotation = new Quaternion(); rotation.eulerAngles = vectRotation; Vector3 midPoint = (start + end) / 2; //Get midpoint between target and current system midPoint = new Vector3(midPoint.x, midPoint.y, -2.0f); //Create vector from midpoint LineRenderScript lineRenderScript = MasterScript.systemListConstructor.systemList[0].systemObject.GetComponent <LineRenderScript>(); GameObject line = (GameObject)Instantiate(lineRenderScript.line, midPoint, rotation); line.renderer.material = mat; float width = 0.20f; if (mat == MasterScript.turnInfoScript.humansMaterial || mat == MasterScript.turnInfoScript.selkiesMaterial) { width = 0.1f; } line.transform.localScale = new Vector3(width, distance, 0f); return(line); }
public static float AngleBetweenLineSegments(Vector3 origin, Vector3 pointA, Vector3 pointB) { float angleA = MathsFunctions.RotationOfLine(pointA, origin); float angleB = MathsFunctions.RotationOfLine(pointB, origin); float testAngle = Mathf.Max(angleA, angleB) - Mathf.Min(angleA, angleB); if (testAngle > 180f) { testAngle = 360f - testAngle; } return(testAngle); }
public void CreateVoronoiCells() //This appears to be fine { MasterScript.triangulation.SimpleTriangulation(); for (int j = 0; j < MasterScript.systemListConstructor.systemList.Count; ++j) //For all systems { VoronoiCellVertices newCell = new VoronoiCellVertices(); //Create new voronoi cell Vector3 voronoiCentre = MasterScript.systemListConstructor.systemList[j].systemObject.transform.position; //Centre of voronoi cell is the current system location for (int i = 0; i < MasterScript.triangulation.triangles.Count; ++i) //For all triangles { if (MasterScript.triangulation.triangles[i].points.Contains(MasterScript.systemListConstructor.systemList[j].systemObject)) //If the triangle has the current system as one of it's vertices { Vector3 systemA = MasterScript.triangulation.triangles[i].points[0].transform.position; //System A equals this system Vector3 systemB = MasterScript.triangulation.triangles[i].points[1].transform.position; //System B is another point in the triangle Vector3 systemC = MasterScript.triangulation.triangles[i].points[2].transform.position; //System C is the final point in the triangle Vector3 lineAB = MathsFunctions.PerpendicularLineEquation(systemA, systemB); //Get the line equations of the line perpendicular to the midpoint between two points Vector3 lineBC = MathsFunctions.PerpendicularLineEquation(systemB, systemC); Vector3 voronoiVertex = MathsFunctions.IntersectionOfTwoLines(lineAB, lineBC); //One of the voronoi vertices is the circumcentre of the triangle float angle = MathsFunctions.RotationOfLine(voronoiVertex, voronoiCentre); //Get the angle of the vertex relative to the centre of the voronoi cell newCell.vertexAngles.Add(angle); //Add the angle to the cells angle list (this is to sort the vertices clockwise) newCell.vertices.Add(voronoiVertex); //Add the vertex to the cells vertex list } } voronoiVertices.Add(newCell); //Add the cell to the list of cells } for (int i = 0; i < voronoiVertices.Count; ++i) //For all voronoi cells { for (int j = voronoiVertices[i].vertexAngles.Count; j > 0; --j) //For all vertices in the cell { bool swapsMade = false; for (int k = 1; k < j; ++k) //While k is less than j (anything above current j value is sorted) { if (voronoiVertices[i].vertexAngles[k] < voronoiVertices[i].vertexAngles[k - 1]) //Sort smallest to largest { float tempAng = voronoiVertices[i].vertexAngles[k]; Vector3 tempPos = voronoiVertices[i].vertices[k]; voronoiVertices[i].vertexAngles[k] = voronoiVertices[i].vertexAngles[k - 1]; voronoiVertices[i].vertices[k] = voronoiVertices[i].vertices[k - 1]; voronoiVertices[i].vertexAngles[k - 1] = tempAng; voronoiVertices[i].vertices[k - 1] = tempPos; swapsMade = true; } } if (swapsMade == false) //If no swaps made, list must have been sorted { break; //So break } } for (int j = 1; j < voronoiVertices[i].vertices.Count; ++j) //For all the vertices { if (voronoiVertices[i].vertices[j] == voronoiVertices[i].vertices[j - 1]) //If there are duplicates { voronoiVertices[i].vertices.RemoveAt(j); //Remove one --j; } } } for (int i = 0; i < voronoiVertices.Count; ++i) //For all cells { GameObject newCell = new GameObject("Voronoi Cell"); //Create new gameobject newCell.AddComponent("MeshRenderer"); //Add meshrenderer to create a mesh newCell.AddComponent("MeshFilter"); //Add meshfilter to apply materials newCell.AddComponent("MeshCollider"); //Add meshcollider (why?) MeshFilter newMesh = (MeshFilter)newCell.GetComponent("MeshFilter"); //Get a reference to the meshfilter List <Vector3> vertices = new List <Vector3>(); //Create new list of vertices for (int j = 0; j < voronoiVertices[i].vertices.Count; ++j) //For all the voronoi cell's vertices { int nextVertex = j + 1; //Get the next vertex if (nextVertex == voronoiVertices[i].vertices.Count) { nextVertex = 0; } int prevVertex = j - 1; //Get the previous vertex if (prevVertex == -1) { prevVertex = voronoiVertices[i].vertices.Count - 1; } Vector3 lineA = voronoiVertices[i].vertices[prevVertex] - voronoiVertices[i].vertices[j]; //Line from vertex to next vertex Vector3 lineB = voronoiVertices[i].vertices[nextVertex] - voronoiVertices[i].vertices[j]; //Line from vertex to previous vertex Vector3 bisector = (lineA.normalized + lineB.normalized) / 2f; //Bisector line float yIntersect = voronoiVertices[i].vertices[j].y - (bisector.y / bisector.x) * voronoiVertices[i].vertices[j].x; //Cintersect = y - mx Vector3 bisectorIntersect = new Vector3(0f, yIntersect, 0f); //Get the y intersect of the bisector float vertAngle = MathsFunctions.AngleBetweenLineSegments(voronoiVertices[i].vertices[j], voronoiVertices[i].vertices[prevVertex], voronoiVertices[i].vertices[nextVertex]) / 2f; //Get the angle between the lines float hypotenuseLength = 0.5f / Mathf.Sin(vertAngle * Mathf.Deg2Rad); //Find the length of the hypotenuse (how far in the new vertex should be Vector3 dir = bisectorIntersect - voronoiVertices[i].vertices[j]; //Find the direction that the new vertex points to from the current vertex dir = bisector.normalized; //Normalise the direction vertices.Add(voronoiVertices[i].vertices[j]); //Add the original vertex to the new vertex list vertices.Add(voronoiVertices[i].vertices[j] + (dir * hypotenuseLength)); //Add this indented vertex to the new vertex list } for (int j = 0; j < vertices.Count; ++j) //For all the vertices { float x = vertices[j].x - MasterScript.systemListConstructor.systemList[i].systemObject.transform.position.x; //Set the x relative to the centre (used to be prevent the vertices being offset from the gameobject centre) float y = vertices[j].y - MasterScript.systemListConstructor.systemList[i].systemObject.transform.position.y; //Do the same for the y Vector3 newPos = new Vector3(x, y, 0f); vertices[j] = newPos; } newMesh.mesh.vertices = vertices.ToArray(); //Add the vertices to the mesh vertex list List <int> tris = new List <int>(); //Create new tris for (int j = 0; j < vertices.Count; ++j) //Create tris from the vertices { int nextVertex = j + 1; int afterNextVertex = j + 2; if (nextVertex == vertices.Count) { nextVertex = 0; afterNextVertex = 1; } if (afterNextVertex == vertices.Count) { afterNextVertex = 0; } if (j % 2 != 0) { tris.Add(afterNextVertex); tris.Add(nextVertex); tris.Add(j); } else { tris.Add(j); tris.Add(nextVertex); tris.Add(afterNextVertex); } } List <Vector2> uvs = new List <Vector2>(); for (int j = 0; j < newMesh.mesh.vertices.Length; ++j) { Vector2 uvCoordinate = new Vector2(newMesh.mesh.vertices[j].x, newMesh.mesh.vertices[j].z); uvs.Add(uvCoordinate); } newMesh.mesh.triangles = tris.ToArray(); newMesh.mesh.uv = uvs.ToArray(); newMesh.mesh.RecalculateNormals(); newMesh.mesh.RecalculateBounds(); newMesh.mesh.Optimize(); newCell.renderer.material = MasterScript.turnInfoScript.emptyMaterial; newCell.renderer.material.shader = Shader.Find("Transparent/Diffuse"); Color newColour = newCell.renderer.material.color; newColour = new Color(newColour.r, newColour.g, newColour.b, 0f); newCell.renderer.material.color = newColour; newCell.AddComponent <SystemRotate>(); newCell.name = "Voronoi Cell" + i.ToString(); newCell.tag = "VoronoiCell"; newCell.transform.position = new Vector3(MasterScript.systemListConstructor.systemList[i].systemObject.transform.position.x, MasterScript.systemListConstructor.systemList[i].systemObject.transform.position.y, 0f); newCell.transform.parent = voronoiCellContainer.transform; //voronoiCells.Add (newCell); } }