Implement Bounding Box Hierarchy in Path

osu-framework.sln.DotSettings

@@ -342,6 +342,7 @@
 	<s:String x:Key="/Default/CodeStyle/Naming/CSharpNaming/Abbreviations/=AABB/@EntryIndexedValue">AABB</s:String>
 	<s:String x:Key="/Default/CodeStyle/Naming/CSharpNaming/Abbreviations/=API/@EntryIndexedValue">API</s:String>
 	<s:String x:Key="/Default/CodeStyle/Naming/CSharpNaming/Abbreviations/=ARGB/@EntryIndexedValue">ARGB</s:String>
+	<s:String x:Key="/Default/CodeStyle/Naming/CSharpNaming/Abbreviations/=BBH/@EntryIndexedValue">BBH</s:String>
 	<s:String x:Key="/Default/CodeStyle/Naming/CSharpNaming/Abbreviations/=BPM/@EntryIndexedValue">BPM</s:String>
 	<s:String x:Key="/Default/CodeStyle/Naming/CSharpNaming/Abbreviations/=CG/@EntryIndexedValue">CG</s:String>
 	<s:String x:Key="/Default/CodeStyle/Naming/CSharpNaming/Abbreviations/=FBO/@EntryIndexedValue">FBO</s:String>
@@ -991,6 +992,7 @@ private void load()
 	<s:Boolean x:Key="/Default/UserDictionary/Words/=beatmaps/@EntryIndexedValue">True</s:Boolean>
 	<s:Boolean x:Key="/Default/UserDictionary/Words/=beatmap_0027s/@EntryIndexedValue">True</s:Boolean>
 	<s:Boolean x:Key="/Default/UserDictionary/Words/=bindable/@EntryIndexedValue">True</s:Boolean>
+	<s:Boolean x:Key="/Default/UserDictionary/Words/=branchless/@EntryIndexedValue">True</s:Boolean>
 	<s:Boolean x:Key="/Default/UserDictionary/Words/=Catmull/@EntryIndexedValue">True</s:Boolean>
 	<s:Boolean x:Key="/Default/UserDictionary/Words/=Drawables/@EntryIndexedValue">True</s:Boolean>
 	<s:Boolean x:Key="/Default/UserDictionary/Words/=gameplay/@EntryIndexedValue">True</s:Boolean>

osu.Framework.Benchmarks/BenchmarkPathReceivePositionalInputAt.cs

@@ -0,0 +1,85 @@
+// Copyright (c) ppy Pty Ltd <[email protected]>. Licensed under the MIT Licence.
+// See the LICENCE file in the repository root for full licence text.
+
+using System;
+using System.Collections.Generic;
+using BenchmarkDotNet.Attributes;
+using osu.Framework.Graphics.Lines;
+using osuTK;
+
+namespace osu.Framework.Benchmarks
+{
+    public class BenchmarkPathReceivePositionalInputAt : BenchmarkTest
+    {
+        // We deliberately set path radius to 0 to introduce worst-case scenario in which with any position given we won't land on a path.
+        private readonly Path path100 = new Path { PathRadius = 0f };
+        private readonly Path path1K = new Path { PathRadius = 0f };
+        private readonly Path path10K = new Path { PathRadius = 0f };
+        private readonly Path path100K = new Path { PathRadius = 0f };
+        private readonly Path path1M = new Path { PathRadius = 0f };
+
+        private readonly Random random = new Random(1);
+
+        public override void SetUp()
+        {
+            base.SetUp();
+
+            List<Vector2> vertices100 = new List<Vector2>(100);
+            List<Vector2> vertices1K = new List<Vector2>(1_000);
+            List<Vector2> vertices10K = new List<Vector2>(10_000);
+            List<Vector2> vertices100K = new List<Vector2>(100_000);
+            List<Vector2> vertices1M = new List<Vector2>(1_000_000);
+
+            for (int i = 0; i < vertices100.Capacity; i++)
+                vertices100.Add(new Vector2((float)i / vertices100.Capacity * 100, random.NextSingle() * 100));
+
+            for (int i = 0; i < vertices1K.Capacity; i++)
+                vertices1K.Add(new Vector2((float)i / vertices1K.Capacity * 100, random.NextSingle() * 100));
+
+            for (int i = 0; i < vertices10K.Capacity; i++)
+                vertices10K.Add(new Vector2((float)i / vertices10K.Capacity * 100, random.NextSingle() * 100));
+
+            for (int i = 0; i < vertices100K.Capacity; i++)
+                vertices100K.Add(new Vector2((float)i / vertices100K.Capacity * 100, random.NextSingle() * 100));
+
+            for (int i = 0; i < vertices1M.Capacity; i++)
+                vertices1M.Add(new Vector2((float)i / vertices1M.Capacity * 100, random.NextSingle() * 100));
+
+            path100.Vertices = vertices100;
+            path1K.Vertices = vertices1K;
+            path10K.Vertices = vertices10K;
+            path100K.Vertices = vertices100K;
+            path1M.Vertices = vertices1M;
+        }
+
+        [Benchmark]
+        public void Contains100()
+        {
+            path100.ReceivePositionalInputAt(new Vector2(random.NextSingle() * 100, random.NextSingle() * 100));
+        }
+
+        [Benchmark]
+        public void Contains1K()
+        {
+            path1K.ReceivePositionalInputAt(new Vector2(random.NextSingle() * 100, random.NextSingle() * 100));
+        }
+
+        [Benchmark]
+        public void Contains10K()
+        {
+            path10K.ReceivePositionalInputAt(new Vector2(random.NextSingle() * 100, random.NextSingle() * 100));
+        }
+
+        [Benchmark]
+        public void Contains100K()
+        {
+            path100K.ReceivePositionalInputAt(new Vector2(random.NextSingle() * 100, random.NextSingle() * 100));
+        }
+
+        [Benchmark]
+        public void Contains1M()
+        {
+            path1M.ReceivePositionalInputAt(new Vector2(random.NextSingle() * 100, random.NextSingle() * 100));
+        }
+    }
+}

osu.Framework.Benchmarks/BenchmarkPathSegmentCreation.cs

@@ -0,0 +1,87 @@
+// Copyright (c) ppy Pty Ltd <[email protected]>. Licensed under the MIT Licence.
+// See the LICENCE file in the repository root for full licence text.
+
+using System;
+using System.Collections.Generic;
+using BenchmarkDotNet.Attributes;
+using BenchmarkDotNet.Engines;
+using osu.Framework.Graphics.Lines;
+using osu.Framework.Graphics.Primitives;
+using osuTK;
+
+namespace osu.Framework.Benchmarks
+{
+    public partial class BenchmarkPathSegmentCreation : BenchmarkTest
+    {
+        private readonly List<Vector2> vertices100 = new List<Vector2>(100);
+        private readonly List<Vector2> vertices1K = new List<Vector2>(1_000);
+        private readonly List<Vector2> vertices10K = new List<Vector2>(10_000);
+        private readonly List<Vector2> vertices100K = new List<Vector2>(100_000);
+        private readonly List<Vector2> vertices1M = new List<Vector2>(1_000_000);
+
+        private readonly BenchPath path = new BenchPath();
+        private readonly Consumer consumer = new Consumer();
+
+        public override void SetUp()
+        {
+            base.SetUp();
+
+            var rng = new Random(1);
+
+            for (int i = 0; i < vertices100.Capacity; i++)
+                vertices100.Add(new Vector2(rng.NextSingle(), rng.NextSingle()));
+
+            for (int i = 0; i < vertices1K.Capacity; i++)
+                vertices1K.Add(new Vector2(rng.NextSingle(), rng.NextSingle()));
+
+            for (int i = 0; i < vertices10K.Capacity; i++)
+                vertices10K.Add(new Vector2(rng.NextSingle(), rng.NextSingle()));
+
+            for (int i = 0; i < vertices100K.Capacity; i++)
+                vertices100K.Add(new Vector2(rng.NextSingle(), rng.NextSingle()));
+
+            for (int i = 0; i < vertices1M.Capacity; i++)
+                vertices1M.Add(new Vector2(rng.NextSingle(), rng.NextSingle()));
+        }
+
+        [Benchmark]
+        public void Compute100Segments()
+        {
+            path.Vertices = vertices100;
+            consumer.Consume(path.Segments);
+        }
+
+        [Benchmark]
+        public void Compute1KSegments()
+        {
+            path.Vertices = vertices1K;
+            consumer.Consume(path.Segments);
+        }
+
+        [Benchmark]
+        public void Compute10KSegments()
+        {
+            path.Vertices = vertices10K;
+            consumer.Consume(path.Segments);
+        }
+
+        [Benchmark]
+        public void Compute100KSegments()
+        {
+            path.Vertices = vertices100K;
+            consumer.Consume(path.Segments);
+        }
+
+        [Benchmark]
+        public void Compute1MSegments()
+        {
+            path.Vertices = vertices1M;
+            consumer.Consume(path.Segments);
+        }
+
+        private partial class BenchPath : Path
+        {
+            public IEnumerable<Line> Segments => BBH.Segments;
+        }
+    }
+}

osu.Framework.Tests/Visual/Drawables/TestSceneInteractivePathDrawing.cs

@@ -1,12 +1,18 @@
 // Copyright (c) ppy Pty Ltd <[email protected]>. Licensed under the MIT Licence.
 // See the LICENCE file in the repository root for full licence text.
 
+using System.Collections.Generic;
 using System.Linq;
+using osu.Framework.Allocation;
 using osu.Framework.Graphics;
+using osu.Framework.Graphics.Colour;
 using osuTK.Graphics;
 using osu.Framework.Graphics.Containers;
 using osu.Framework.Graphics.Shapes;
 using osu.Framework.Graphics.Lines;
+using osu.Framework.Graphics.Primitives;
+using osu.Framework.Graphics.Rendering;
+using osu.Framework.Graphics.Sprites;
 using osu.Framework.Input.Events;
 using osuTK.Input;
 using osu.Framework.Utils;
@@ -18,9 +24,10 @@ namespace osu.Framework.Tests.Visual.Drawables
     public partial class TestSceneInteractivePathDrawing : FrameworkTestScene
     {
         private readonly Path rawDrawnPath;
-        private readonly Path approximatedDrawnPath;
+        private readonly TestPath approximatedDrawnPath;
         private readonly Path controlPointPath;
         private readonly Container controlPointViz;
+        private readonly BoundingBoxVisualizer bbViz;
 
         private readonly IncrementalBSplineBuilder bSplineBuilder = new IncrementalBSplineBuilder();
 
@@ -36,7 +43,7 @@ public TestSceneInteractivePathDrawing()
                         Colour = Color4.DeepPink,
                         PathRadius = 5,
                     },
-                    approximatedDrawnPath = new Path
+                    approximatedDrawnPath = new TestPath
                     {
                         Colour = Color4.Blue,
                         PathRadius = 3,
@@ -52,31 +59,42 @@ public TestSceneInteractivePathDrawing()
                         RelativeSizeAxes = Axes.Both,
                         Alpha = 0.5f,
                     },
+                    bbViz = new BoundingBoxVisualizer
+                    {
+                        RelativeSizeAxes = Axes.Both,
+                    }
                 }
             };
 
-            updateViz();
-            OnUpdate += _ => updateViz();
-
             AddStep("Reset path", () =>
             {
                 bSplineBuilder.Clear();
+                updateViz();
             });
 
             AddSliderStep($"{nameof(bSplineBuilder.Degree)}", 1, 4, 3, v =>
             {
                 bSplineBuilder.Degree = v;
+                updateViz();
             });
             AddSliderStep($"{nameof(bSplineBuilder.Tolerance)}", 0f, 3f, 2f, v =>
             {
                 bSplineBuilder.Tolerance = v;
+                updateViz();
             });
             AddSliderStep($"{nameof(bSplineBuilder.CornerThreshold)}", 0f, 1f, 0.4f, v =>
             {
                 bSplineBuilder.CornerThreshold = v;
+                updateViz();
             });
         }
 
+        [BackgroundDependencyLoader]
+        private void load(IRenderer renderer)
+        {
+            bbViz.Texture = renderer.WhitePixel;
+        }
+
         private void updateControlPointsViz()
         {
             controlPointPath.Vertices = bSplineBuilder.ControlPoints.SelectMany(o => o).ToArray();
@@ -117,9 +135,18 @@ private void updateViz()
             updateControlPointsViz();
         }
 
+        protected override void Update()
+        {
+            base.Update();
+
+            approximatedDrawnPath.CollectBoundingBoxes(bbViz.Boxes);
+            bbViz.Invalidate(Invalidation.DrawNode);
+        }
+
         protected override void OnDrag(DragEvent e)
         {
             bSplineBuilder.AddLinearPoint(rawDrawnPath.ToLocalSpace(ToScreenSpace(e.MousePosition)));
+            updateViz();
         }
 
         protected override void OnDragEnd(DragEndEvent e)
@@ -129,5 +156,89 @@ protected override void OnDragEnd(DragEndEvent e)
 
             base.OnDragEnd(e);
         }
+
+        private partial class TestPath : Path
+        {
+            public void CollectBoundingBoxes(List<RectangleF> list) => BBH.CollectBoundingBoxes(list);
+        }
+
+        private partial class BoundingBoxVisualizer : Sprite
+        {
+            public readonly List<RectangleF> Boxes = [];
+
+            public BoundingBoxVisualizer()
+            {
+                RelativeSizeAxes = Axes.Both;
+            }
+
+            protected override DrawNode CreateDrawNode() => new BoundingBoxDrawNode(this);
+
+            private class BoundingBoxDrawNode : SpriteDrawNode
+            {
+                public new BoundingBoxVisualizer Source => (BoundingBoxVisualizer)base.Source;
+
+                public BoundingBoxDrawNode(BoundingBoxVisualizer source)
+                    : base(source)
+                {
+                }
+
+                private readonly List<RectangleF> boxes = new List<RectangleF>();
+
+                public override void ApplyState()
+                {
+                    base.ApplyState();
+
+                    boxes.Clear();
+                    boxes.AddRange(Source.Boxes);
+                }
+
+                protected override void Blit(IRenderer renderer)
+                {
+                    ColourInfo colourInfo = DrawColourInfo.Colour;
+                    colourInfo.ApplyChild(Color4.Red);
+
+                    foreach (var box in boxes)
+                    {
+                        var drawQuad = new Quad(
+                            Vector2Extensions.Transform(box.TopLeft, DrawInfo.Matrix),
+                            Vector2Extensions.Transform(box.TopRight, DrawInfo.Matrix),
+                            Vector2Extensions.Transform(box.TopLeft + new Vector2(0, 1), DrawInfo.Matrix),
+                            Vector2Extensions.Transform(box.TopRight + new Vector2(0, 1), DrawInfo.Matrix)
+                        );
+
+                        renderer.DrawQuad(Texture, drawQuad, colourInfo);
+
+                        drawQuad = new Quad(
+                            Vector2Extensions.Transform(box.BottomLeft - new Vector2(0, 1), DrawInfo.Matrix),
+                            Vector2Extensions.Transform(box.BottomRight - new Vector2(0, 1), DrawInfo.Matrix),
+                            Vector2Extensions.Transform(box.BottomLeft, DrawInfo.Matrix),
+                            Vector2Extensions.Transform(box.BottomRight, DrawInfo.Matrix)
+                        );
+
+                        renderer.DrawQuad(Texture, drawQuad, colourInfo);
+
+                        drawQuad = new Quad(
+                            Vector2Extensions.Transform(box.TopLeft, DrawInfo.Matrix),
+                            Vector2Extensions.Transform(box.TopLeft + new Vector2(1, 0), DrawInfo.Matrix),
+                            Vector2Extensions.Transform(box.BottomLeft, DrawInfo.Matrix),
+                            Vector2Extensions.Transform(box.BottomLeft + new Vector2(1, 0), DrawInfo.Matrix)
+                        );
+
+                        renderer.DrawQuad(Texture, drawQuad, colourInfo);
+
+                        drawQuad = new Quad(
+                            Vector2Extensions.Transform(box.TopRight - new Vector2(1, 0), DrawInfo.Matrix),
+                            Vector2Extensions.Transform(box.TopRight, DrawInfo.Matrix),
+                            Vector2Extensions.Transform(box.BottomRight - new Vector2(1, 0), DrawInfo.Matrix),
+                            Vector2Extensions.Transform(box.BottomRight, DrawInfo.Matrix)
+                        );
+
+                        renderer.DrawQuad(Texture, drawQuad, colourInfo);
+                    }
+                }
+
+                protected internal override bool CanDrawOpaqueInterior => false;
+            }
+        }
     }
 }