// Copyright 2018 Google Inc. All rights reserved. // // Licensed under the Apache License, Version 2.0 (the "License"); // you may not use this file except in compliance with the License. // You may obtain a copy of the License at // // http://www.apache.org/licenses/LICENSE-2.0 // // Unless required by applicable law or agreed to in writing, software // distributed under the License is distributed on an "AS IS" BASIS, // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. // See the License for the specific language governing permissions and // limitations under the License. package s2 // VertexModel defines whether shapes are considered to contain their vertices. // Note that these definitions differ from the ones used by BooleanOperation. // // Note that points other than vertices are never contained by polylines. // If you want need this behavior, use ClosestEdgeQuery's IsDistanceLess // with a suitable distance threshold instead. type VertexModel int const ( // VertexModelOpen means no shapes contain their vertices (not even // points). Therefore Contains(Point) returns true if and only if the // point is in the interior of some polygon. VertexModelOpen VertexModel = iota // VertexModelSemiOpen means that polygon point containment is defined // such that if several polygons tile the region around a vertex, then // exactly one of those polygons contains that vertex. Points and // polylines still do not contain any vertices. VertexModelSemiOpen // VertexModelClosed means all shapes contain their vertices (including // points and polylines). VertexModelClosed ) // ContainsPointQuery determines whether one or more shapes in a ShapeIndex // contain a given Point. The ShapeIndex may contain any number of points, // polylines, and/or polygons (possibly overlapping). Shape boundaries may be // modeled as Open, SemiOpen, or Closed (this affects whether or not shapes are // considered to contain their vertices). // // Note that if you need to do a large number of point containment // tests, it is more efficient to re-use the query rather than creating a new // one each time. type ContainsPointQuery struct { model VertexModel index *ShapeIndex iter *ShapeIndexIterator } // NewContainsPointQuery creates a new instance of the ContainsPointQuery for the index // and given vertex model choice. func NewContainsPointQuery(index *ShapeIndex, model VertexModel) *ContainsPointQuery { return &ContainsPointQuery{ index: index, model: model, iter: index.Iterator(), } } // Contains reports whether any shape in the queries index contains the point p // under the queries vertex model (Open, SemiOpen, or Closed). func (q *ContainsPointQuery) Contains(p Point) bool { if !q.iter.LocatePoint(p) { return false } cell := q.iter.IndexCell() for _, clipped := range cell.shapes { if q.shapeContains(clipped, q.iter.Center(), p) { return true } } return false } // shapeContains reports whether the clippedShape from the iterator's center position contains // the given point. func (q *ContainsPointQuery) shapeContains(clipped *clippedShape, center, p Point) bool { inside := clipped.containsCenter numEdges := clipped.numEdges() if numEdges <= 0 { return inside } shape := q.index.Shape(clipped.shapeID) if !shape.HasInterior() { // Points and polylines can be ignored unless the vertex model is Closed. if q.model != VertexModelClosed { return false } // Otherwise, the point is contained if and only if it matches a vertex. for _, edgeID := range clipped.edges { edge := shape.Edge(edgeID) if edge.V0 == p || edge.V1 == p { return true } } return false } // Test containment by drawing a line segment from the cell center to the // given point and counting edge crossings. crosser := NewEdgeCrosser(center, p) for _, edgeID := range clipped.edges { edge := shape.Edge(edgeID) sign := crosser.CrossingSign(edge.V0, edge.V1) if sign == DoNotCross { continue } if sign == MaybeCross { // For the Open and Closed models, check whether p is a vertex. if q.model != VertexModelSemiOpen && (edge.V0 == p || edge.V1 == p) { return (q.model == VertexModelClosed) } // C++ plays fast and loose with the int <-> bool conversions here. if VertexCrossing(crosser.a, crosser.b, edge.V0, edge.V1) { sign = Cross } else { sign = DoNotCross } } inside = inside != (sign == Cross) } return inside } // ShapeContains reports whether the given shape contains the point under this // queries vertex model (Open, SemiOpen, or Closed). // // This requires the shape belongs to this queries index. func (q *ContainsPointQuery) ShapeContains(shape Shape, p Point) bool { if !q.iter.LocatePoint(p) { return false } clipped := q.iter.IndexCell().findByShapeID(q.index.idForShape(shape)) if clipped == nil { return false } return q.shapeContains(clipped, q.iter.Center(), p) } // TODO(roberts): Remaining methods from C++ // func (q *ContainsPointQuery) ContainingShapes(p Point) []Shape // type shapeVisitorFunc func(shape Shape) bool // func (q *ContainsPointQuery) VisitContainingShapes(p Point, v shapeVisitorFunc) bool // type edgeVisitorFunc func(shape ShapeEdge) bool // func (q *ContainsPointQuery) VisitIncidentEdges(p Point, v edgeVisitorFunc) bool