public List <ObjectPlacementData> Calculate(Quaternion rotationToApplyForStrokeAlignment) { if (!ValidateCalculationRequirements()) { return(new List <ObjectPlacementData>()); } _objectNodeNetwork.Clear(); _rotationToApplyForStrokeAlignment = rotationToApplyForStrokeAlignment; CreateSurfaceColliderProjector(); _elementToNewPrefabRotation.Clear(); _allowObjectIntersection = ObjectPlacementSettings.Get().ObjectIntersectionSettings.AllowIntersectionForDecorPaintBrushModeDrag; int currentObjectIndex = 0; var objectPlacementDataInstances = new List <ObjectPlacementData>(_workingBrush.MaxNumberOfObjects); while (currentObjectIndex < _workingBrush.MaxNumberOfObjects) { DecorPaintObjectPlacementBrushElement brushElement = _brushElementSpawnChanceTable.PickEntity(UnityEngine.Random.Range(0.0f, 1.0f)); int brushElementIndex = _allValidBrushElements.FindIndex(item => item == brushElement); ++currentObjectIndex; // No object nodes were created yet? if (_objectNodeNetwork.NumberOfNodes == 0) { // Create the first node at a random position inside the brush circle Vector3 randomPositionInsideCircle = _workingBrushCircle.GetRandomPointInside(); ObjectSurfaceData objectSurfaceData = CalculateObjectSurfaceData(randomPositionInsideCircle); MatrixObjectBoxPair matrixObjectBoxPair = CalculateMatrixObjectBoxPair(brushElementIndex, objectSurfaceData); // We need to know if the normal of the surface on which the object resides lies within the desired slope range bool passesSlopeTest = DoesObjectSurfacePassSlopeTest(objectSurfaceData, brushElement); // Note: Even if the slope test is not passed, we will still create an object node. The reason for this is that // we want to have some kind of continuity in the algorithm. Imagine that the brush circle is large and is // divided by a large terrain mountain which sits in the middle. If the object generation starts on one side // of the mountain, the algorithm might never get a chance to go over the other side if the slope condition // is not satisifed. We want to spread objects as much as possible so even though this object will not be // placed in the scene, we will still add it to the node network. _objectNodeNetwork.AddNodeToEnd(matrixObjectBoxPair.ObjectBox, objectSurfaceData); if (passesSlopeTest && DoesBoxPassObjectIntersectionTest(matrixObjectBoxPair.ObjectBox, brushElement.Prefab.UnityPrefab, matrixObjectBoxPair.ObjectMatrix)) { objectPlacementDataInstances.Add(new ObjectPlacementData(matrixObjectBoxPair.ObjectMatrix, brushElement.Prefab, brushElement.MustEmbedInSurface)); } } else { // Are there any node segments available? if (_objectNodeNetwork.NumberOfSegments != 0) { // The first step is to generate a random node index and store references to that node and its immediate neighbour _objectNodeNetwork.RemoveAllNodesWhichGenerateConcavities(_workingBrushCircle.Plane); int randomNodeIndex = _objectNodeNetwork.GetRandomNodeIndex(); ObjectNode firstNode = _objectNodeNetwork.GetNodeByIndex(randomNodeIndex); ObjectNode secondNode = _objectNodeNetwork.GetNodeByIndex(randomNodeIndex + 1); // Calculate the plane of the segment which unites the 2 nodes. We will also store the // actual segment and the middle point on the segment. We will use this middle point to // generate the initial object position. Segment3D nodeSegment = ObjectNodeNetwork.CalculateSegmentBetweenNodes(firstNode, secondNode); Vector3 segmentMidPoint = nodeSegment.GetPoint(0.5f); Plane segmentPlane = ObjectNodeNetwork.CalculateSegmentPlaneNormal(firstNode, secondNode); OrientedBox firstNodeBox = firstNode.ObjectBox; OrientedBox secondNodeBox = secondNode.ObjectBox; // Calculate the furthest point in front of the plane using the corner points of the // 2 nodes. The idea is to move the new object as much as possible from the bulk of // objects that have already been generated. Vector3 furthestPointFromPlane; List <Vector3> nodeCornerPoints = firstNodeBox.GetCornerPoints(); nodeCornerPoints.AddRange(secondNodeBox.GetCornerPoints()); if (!segmentPlane.GetFurthestPointInFront(nodeCornerPoints, out furthestPointFromPlane)) { continue; } // Use the calculated furthest point from plane and the the existing plane normal to calculate the // pivot plane. The new object will reside at some distance away from this plane. Plane pivotPlane = new Plane(segmentPlane.normal, furthestPointFromPlane); // Calculate the new object transform data. We will use the segment's mid point to generate the // initial object position. ObjectSurfaceData objectSurfaceData = CalculateObjectSurfaceData(segmentMidPoint); MatrixObjectBoxPair matrixObjectBoxPair = CalculateMatrixObjectBoxPair(brushElementIndex, objectSurfaceData); OrientedBox objectBox = matrixObjectBoxPair.ObjectBox; // Identify the objects's furthest point behind the plane Vector3 objectBoxPivotPoint; List <Vector3> objectBoxCornerPoints = objectBox.GetCornerPoints(); if (!pivotPlane.GetFurthestPointBehind(objectBoxCornerPoints, out objectBoxPivotPoint)) { continue; } // Use the furthest point to move the object in front of the plane and take the distance between objects into account Vector3 fromPivotPointToCenter = objectBox.Center - objectBoxPivotPoint; Vector3 projectedPivotPoint = pivotPlane.ProjectPoint(objectBoxPivotPoint); objectBox.Center = projectedPivotPoint + fromPivotPointToCenter + pivotPlane.normal * _workingBrush.DistanceBetweenObjects; // Generate the object surface data objectSurfaceData = CalculateObjectSurfaceData(objectBox.Center); bool passesSlopeTest = DoesObjectSurfacePassSlopeTest(objectSurfaceData, brushElement); // Now we need to adjust the orientation and center of the box. If the calculated center // lies outside the brush circle, we will ignore this node. AdjustObjectBoxRotationOnSurface(objectBox, objectSurfaceData, brushElement); AdjustObjectBoxCenterToSitOnSurface(objectBox, objectSurfaceData, brushElement); if (!_workingBrushCircle.ContainsPoint(_workingBrushCircle.Plane.ProjectPoint(objectBox.Center))) { continue; } // Recalculate the object matrix using the new box data TransformMatrix objectMatrix = matrixObjectBoxPair.ObjectMatrix; objectMatrix.Rotation = objectBox.Rotation; objectMatrix.Translation = ObjectPositionCalculator.CalculateObjectHierarchyPosition(brushElement.Prefab, objectBox.Center, objectMatrix.Scale, objectBox.Rotation); // We have been modifying the matrix and box data independently so we will ensure that the box uses the latest data OrientedBox finalBox = new OrientedBox(objectBox); finalBox.SetTransformMatrix(objectMatrix); // If the slope test passed, we will calculate an object placement data instance. Otherwise, we will just insert a new node. if (passesSlopeTest && DoesBoxPassObjectIntersectionTest(finalBox, brushElement.Prefab.UnityPrefab, objectMatrix)) { objectPlacementDataInstances.Add(new ObjectPlacementData(objectMatrix, brushElement.Prefab, brushElement.MustEmbedInSurface)); } _objectNodeNetwork.InsertAfterNode(objectBox, objectSurfaceData, randomNodeIndex); } else { // When there are no segments available it means we have only one node. We will use this node to generate // a new one at some distance away from it. First we will store some data that we will need during the entire // procedure. ObjectNode pivotNode = _objectNodeNetwork.GetFirstNode(); Vector3 pivotNodeSurfaceTangent = pivotNode.ObjectSurfaceData.GetSurfaceTangentVector(); OrientedBox pivotNodeObjectBox = pivotNode.ObjectBox; // We will place the new node at some distance away from the first node's face which points // along the calculated tangent vector. We will call this the pivot face. BoxFace pivotBoxFace = pivotNodeObjectBox.GetBoxFaceMostAlignedWithNormal(pivotNodeSurfaceTangent); Plane pivotFacePlane = pivotNodeObjectBox.GetBoxFacePlane(pivotBoxFace); // Generate the data for the new node in the same position as the first node. // Note: Although the same position is used, the rotation and scale will differ and they will // be established by 'CalculateMatrixObjectBoxPair'. MatrixObjectBoxPair matrixObjectBoxPair = CalculateMatrixObjectBoxPair(brushElementIndex, pivotNode.ObjectSurfaceData); OrientedBox objectBox = matrixObjectBoxPair.ObjectBox; // At this point we have to start moving the generated object box to its new positino along the // tangent vector. We will do this by calculating the furthest box point which lies behind the // pivot plane and then move the box so that this point resides on that plane. We will call this // the pivot point. // Note: We will perform a safety check to see if this point could not be calculated and use the // closest point in front if necessary. However, this check should not be necessary. Because // we are placing te object box in the center of the previous box, we can be usre that there // will always be a point which lies behind the pivot plane. Vector3 objectBoxPivotPoint; List <Vector3> objectBoxCornerPoints = objectBox.GetCornerPoints(); if (!pivotFacePlane.GetFurthestPointBehind(objectBoxCornerPoints, out objectBoxPivotPoint) && !pivotFacePlane.GetClosestPointInFront(objectBoxCornerPoints, out objectBoxPivotPoint)) { continue; } // Project the pivot point onto the pivot plane. We will also store a vector which goes from the // original pivot point to the box center. This will allow us to maintain the relationship between // the projected pivot point and the box center so that the center can be adjusted accordingly. Vector3 fromPivotPointToCenter = objectBox.Center - objectBoxPivotPoint; Vector3 projectedPivotPoint = pivotFacePlane.ProjectPoint(objectBoxPivotPoint); // Adjust the center using the projected pivot point and also take the distance between objects into account objectBox.Center = projectedPivotPoint + fromPivotPointToCenter + pivotNodeSurfaceTangent * _workingBrush.DistanceBetweenObjects; // Generate the object surface data at the current box position. // Note: This is the step which can actually cause objects to intersect a little bit. The surface data is // calculated by projecting along the brush circle plane normal. If we are placing objects on a terrain // and the center of the circle lies somewhere at the base of the terrain where the normal points straight // up, but the center of the box resides somewhere on a clif, the new center might move the box closer // or even further away from the pivot node. This however, should not be a problem especially if the distance // between objects is not 0. ObjectSurfaceData objectSurfaceData = CalculateObjectSurfaceData(objectBox.Center); bool passesSlopeTest = DoesObjectSurfacePassSlopeTest(objectSurfaceData, brushElement); // Now we need to adjust the orientation and center of the box. If the calculated center // lies outside the brush circle, we will ignore this node. AdjustObjectBoxRotationOnSurface(objectBox, objectSurfaceData, brushElement); AdjustObjectBoxCenterToSitOnSurface(objectBox, objectSurfaceData, brushElement); if (!_workingBrushCircle.ContainsPoint(_workingBrushCircle.Plane.ProjectPoint(objectBox.Center))) { continue; } // Recalculate the object matrix using the new box data TransformMatrix objectMatrix = matrixObjectBoxPair.ObjectMatrix; objectMatrix.Rotation = objectBox.Rotation; objectMatrix.Translation = ObjectPositionCalculator.CalculateObjectHierarchyPosition(brushElement.Prefab, objectBox.Center, objectMatrix.Scale, objectBox.Rotation); // We have been modifying the matrix and box data independently so we will ensure that the box uses the latest data OrientedBox finalBox = new OrientedBox(objectBox); finalBox.SetTransformMatrix(objectMatrix); // If the slope test passed, we will calculate an object placement data instance. Otherwise, we will just insert a new node. if (passesSlopeTest && DoesBoxPassObjectIntersectionTest(finalBox, brushElement.Prefab.UnityPrefab, objectMatrix)) { objectPlacementDataInstances.Add(new ObjectPlacementData(objectMatrix, brushElement.Prefab, brushElement.MustEmbedInSurface)); } _objectNodeNetwork.InsertAfterNode(objectBox, objectSurfaceData, 0); } } } // Adjust the prefab rotations for the next time the function is called if (_elementToNewPrefabRotation.Count != 0) { foreach (var prefabRotationPair in _elementToNewPrefabRotation) { DecorPaintObjectPlacementBrushElement brushElement = prefabRotationPair.Key; if (_elementToCurrentPrefabRotation.ContainsKey(brushElement)) { _elementToCurrentPrefabRotation[brushElement] = prefabRotationPair.Value; } } } return(objectPlacementDataInstances); }