Linestring.intersection method

README.md

@@ -87,7 +87,7 @@ Turf.js | Turf for Swift
 [turf-helpers#radiansToDegrees](https://turfjs.org/docs/#radiansToDegrees) | `CLLocationDegrees.toDegrees()`<br>`LocationDegrees.toDegrees()` on Linux
 [turf-helpers#convertLength](https://turfjs.org/docs/#convertLength)<br>[turf-helpers#convertArea](https://turfjs.org/docs/#convertArea) | `Measurement.converted(to:)`
 [turf-length#length](https://turfjs.org/docs/#length) | `LineString.distance(from:to:)`
-[turf-line-intersect#lineIntersect](https://turfjs.org/docs/#lineIntersect) | `intersection(_:_:)`
+[turf-line-intersect#lineIntersect](https://turfjs.org/docs/#lineIntersect) | `LineString.intersections(with:)`
 [turf-line-slice#lineSlice](https://turfjs.org/docs/#lineSlice) | `LineString.sliced(from:to:)`
 [turf-line-slice-along#lineSliceAlong](https://turfjs.org/docs/#lineSliceAlong) | `LineString.trimmed(from:to:)`
 [turf-midpoint#midpoint](https://turfjs.org/docs/#midpoint) | `mid(_:_:)`

Sources/Turf/Geometries/LineString.swift

@@ -31,6 +31,13 @@ public struct LineString: Equatable {
     public init(_ ring: Ring) {
         self.coordinates = ring.coordinates
     }
+
+    /**
+     Representation of current `LineString` as an array of `LineSegment`s.
+     */
+    var segments: [LineSegment] {
+        return zip(coordinates.dropLast(), coordinates.dropFirst()).map { LineSegment($0.0, $0.1) }
+    }
 }
 
 extension LineString: Codable {
@@ -308,7 +315,7 @@ extension LineString {
             let direction = segment.0.direction(to: segment.1)
             let perpendicularPoint1 = coordinate.coordinate(at: maxDistance, facing: direction + 90)
             let perpendicularPoint2 = coordinate.coordinate(at: maxDistance, facing: direction - 90)
-            let intersectionPoint = intersection((perpendicularPoint1, perpendicularPoint2), segment)
+            let intersectionPoint = Turf.intersection((perpendicularPoint1, perpendicularPoint2), segment)
             let intersectionDistance: LocationDistance? = intersectionPoint != nil ? coordinate.distance(to: intersectionPoint!) : nil
 
             if distances.0 < closestDistance ?? .greatestFiniteMagnitude {
@@ -364,4 +371,41 @@ extension LineString {
         // Ported from https://github.com/Turfjs/turf/blob/4e8342acb1dbd099f5e91c8ee27f05fb2647ee1b/packages/turf-simplify/lib/simplify.js
         coordinates = Simplifier.simplify(coordinates, tolerance: tolerance, highestQuality: highestQuality)
     }
+
+    /**
+     Returns all intersections with another `LineString`.
+
+     This function is roughly equivalent to the [turf-line-intersect](https://turfjs.org/docs/#lineIntersect) package of Turf.js ([source code](https://github.com/Turfjs/turf/tree/master/packages/turf-line-intersect/)). Order of found intersections is not determined.
+
+     You can also use `Turf.intersection(_:, _:)` if you need to find intersection of individual `LineSegment`s.
+
+     - seealso: `Turf.intersection(_:, _:)`
+     */
+    public func intersections(with line: LineString) -> [LocationCoordinate2D] {
+        var intersections = Set<HashableCoordinate>()
+        for segment1 in segments {
+            for segment2 in line.segments {
+                if let intersection = Turf.intersection(LineSegment(segment1.0, segment1.1),
+                                                        LineSegment(segment2.0, segment2.1)) {
+                    intersections.insert(.init(intersection))
+                }
+            }
+        }
+        return intersections.map { $0.locationCoordinate }
+    }
+
+    private struct HashableCoordinate: Hashable {
+        let latitude: Double
+        let longitude: Double
+
+        var locationCoordinate: LocationCoordinate2D {
+            return LocationCoordinate2D(latitude: latitude,
+                                        longitude: longitude)
+        }
+
+        init(_ coordinate: LocationCoordinate2D) {
+            self.latitude = coordinate.latitude
+            self.longitude = coordinate.longitude
+        }
+    }
 }

Sources/Turf/Turf.swift

@@ -14,6 +14,8 @@ public typealias LineSegment = (LocationCoordinate2D, LocationCoordinate2D)
  Returns the intersection of two line segments.
 
  This function is roughly equivalent to the [turf-line-intersect](https://turfjs.org/docs/#lineIntersect) package of Turf.js ([source code](https://github.com/Turfjs/turf/tree/master/packages/turf-line-intersect/)), except that it only accepts individual line segments instead of whole line strings.
+
+ - seealso: `LineString.intersection(with:)`
  */
 public func intersection(_ line1: LineSegment, _ line2: LineSegment) -> LocationCoordinate2D? {
     // Ported from https://github.com/Turfjs/turf/blob/142e137ce0c758e2825a260ab32b24db0aa19439/packages/turf-point-on-line/index.js, in turn adapted from http://jsfiddle.net/justin_c_rounds/Gd2S2/light/
@@ -35,9 +37,9 @@ public func intersection(_ line1: LineSegment, _ line2: LineSegment) -> Location
                                             longitude: line1.0.longitude + a * (line1.1.longitude - line1.0.longitude))
 
     /// True if line 1 is finite and line 2 is infinite.
-    let intersectsWithLine1 = a > 0 && a < 1
+    let intersectsWithLine1 = a >= 0 && a <= 1
     /// True if line 2 is finite and line 1 is infinite.
-    let intersectsWithLine2 = b > 0 && b < 1
+    let intersectsWithLine2 = b >= 0 && b <= 1
     return intersectsWithLine1 && intersectsWithLine2 ? intersection : nil
 }
 

Tests/TurfTests/LineStringTests.swift

@@ -410,4 +410,35 @@ class LineStringTests: XCTestCase {
         sliced = line1.trimmed(from: startDistance, to: stopDistance)
         XCTAssertNil(sliced, "should return nil")
     }
+
+    func testIntersections() {
+        let lineString = LineString([.init(latitude: 2, longitude: 1),
+                                     .init(latitude: 2, longitude: 5),
+                                     .init(latitude: 2, longitude: 9)])
+
+        let intersectingLineString = LineString([.init(latitude: 4, longitude: 1),
+                                                 .init(latitude: 0, longitude: 5),
+                                                 .init(latitude: 2, longitude: 9)])
+
+        var intersections = lineString.intersections(with: intersectingLineString)
+
+        XCTAssertEqual(intersections.sorted(by: { $0.longitude < $1.longitude }),
+                       [.init(latitude: 2, longitude: 3),
+                        .init(latitude: 2, longitude: 9)],
+                       accuracy: 0, "LineString intersections are not correct.")
+
+        let notIntersectingLineString = LineString([.init(latitude: 1, longitude: 1),
+                                                    .init(latitude: 1, longitude: 5),
+                                                    .init(latitude: 1, longitude: 9)])
+
+        intersections = lineString.intersections(with: notIntersectingLineString)
+
+        XCTAssertTrue(intersections.isEmpty, "Found impossible LineString intersection(s).")
+
+        let emptyLineString = LineString([])
+
+        intersections = lineString.intersections(with: emptyLineString)
+
+        XCTAssertTrue(intersections.isEmpty, "Found impossible LineString intersection(s).")
+    }
 }

Tests/TurfTests/TurfTests.swift

@@ -40,6 +40,13 @@ class TurfTests: XCTestCase {
         XCTAssertEqual(a, coord1)
     }
 
+    func testIntersectionOnEnd() {
+        let coord1 = LocationCoordinate2D(latitude: 20, longitude: 20)
+        let a = intersection((LocationCoordinate2D(latitude: 20, longitude: 20), LocationCoordinate2D(latitude: 40, longitude: 40)),
+                             (LocationCoordinate2D(latitude: 20, longitude: 20), LocationCoordinate2D(latitude: 40, longitude: 20)))
+        XCTAssertEqual(a, coord1)
+    }
+
     func testCLLocationDegrees() {
         let degree: CLLocationDegrees = 100
         let a = degree.toRadians()