Implement PriorityQueue.Remove

src/libraries/System.Collections/ref/System.Collections.cs

@@ -126,6 +126,7 @@ public void EnqueueRange(System.Collections.Generic.IEnumerable<(TElement Elemen
         public void EnqueueRange(System.Collections.Generic.IEnumerable<TElement> elements, TPriority priority) { }
         public int EnsureCapacity(int capacity) { throw null; }
         public TElement Peek() { throw null; }
+        public bool Remove(TElement element, [System.Diagnostics.CodeAnalysis.MaybeNullWhenAttribute(false)] out TElement removedElement, [System.Diagnostics.CodeAnalysis.MaybeNullWhenAttribute(false)] out TPriority priority, System.Collections.Generic.IEqualityComparer<TElement>? equalityComparer = null) { throw null; }
         public void TrimExcess() { }
         public bool TryDequeue([System.Diagnostics.CodeAnalysis.MaybeNullWhenAttribute(false)] out TElement element, [System.Diagnostics.CodeAnalysis.MaybeNullWhenAttribute(false)] out TPriority priority) { throw null; }
         public bool TryPeek([System.Diagnostics.CodeAnalysis.MaybeNullWhenAttribute(false)] out TElement element, [System.Diagnostics.CodeAnalysis.MaybeNullWhenAttribute(false)] out TPriority priority) { throw null; }

src/libraries/System.Collections/src/System/Collections/Generic/PriorityQueue.cs

@@ -502,6 +502,59 @@ public void EnqueueRange(IEnumerable<TElement> elements, TPriority priority)
             }
         }
 
+        /// <summary>
+        /// Removes the first occurrence that equals the specified parameter.
+        /// </summary>
+        /// <param name="element">The element to try to remove.</param>
+        /// <param name="removedElement">The actual element that got removed from the queue.</param>
+        /// <param name="priority">The priority value associated with the removed element.</param>
+        /// <param name="equalityComparer">The equality comparer governing element equality.</param>
+        /// <returns><see langword="true"/> if matching entry was found and removed, <see langword="false"/> otherwise.</returns>
+        /// <remarks>
+        /// The method performs a linear-time scan of every element in the heap, removing the first value found to match the <paramref name="element"/> parameter.
+        /// In case of duplicate entries, what entry does get removed is non-deterministic and does not take priority into account.
+        ///
+        /// If no <paramref name="equalityComparer"/> is specified, <see cref="EqualityComparer{TElement}.Default"/> will be used instead.
+        /// </remarks>
+        public bool Remove(
+            TElement element,
+            [MaybeNullWhen(false)] out TElement removedElement,
+            [MaybeNullWhen(false)] out TPriority priority,
+            IEqualityComparer<TElement>? equalityComparer = null)
+        {
+            int index = FindIndex(element, equalityComparer);
+            if (index < 0)
+            {
+                removedElement = default;
+                priority = default;
+                return false;
+            }
+
+            (TElement Element, TPriority Priority)[] nodes = _nodes;
+            (removedElement, priority) = nodes[index];
+            int newSize = --_size;
+
+            if (index < newSize)
+            {
+                // We're removing an element from the middle of the heap.
+                // Pop the last element in the collection and sift downward from the removed index.
+                (TElement Element, TPriority Priority) lastNode = nodes[newSize];
+
+                if (_comparer == null)
+                {
+                    MoveDownDefaultComparer(lastNode, index);
+                }
+                else
+                {
+                    MoveDownCustomComparer(lastNode, index);
+                }
+            }
+
+            nodes[newSize] = default;
+            _version++;
+            return true;
+        }
+
         /// <summary>
         ///  Removes all items from the <see cref="PriorityQueue{TElement, TPriority}"/>.
         /// </summary>
@@ -809,6 +862,41 @@ private void MoveDownCustomComparer((TElement Element, TPriority Priority) node,
             nodes[nodeIndex] = node;
         }
 
+        /// <summary>
+        /// Scans the heap for the first index containing an element equal to the specified parameter.
+        /// </summary>
+        private int FindIndex(TElement element, IEqualityComparer<TElement>? equalityComparer)
+        {
+            equalityComparer ??= EqualityComparer<TElement>.Default;
+            ReadOnlySpan<(TElement Element, TPriority Priority)> nodes = _nodes.AsSpan(0, _size);
+
+            // Currently the JIT doesn't optimize direct EqualityComparer<T>.Default.Equals
+            // calls for reference types, so we want to cache the comparer instance instead.
+            // TODO https://github.com/dotnet/runtime/issues/10050: Update if this changes in the future.
+            if (typeof(TElement).IsValueType && equalityComparer == EqualityComparer<TElement>.Default)
+            {
+                for (int i = 0; i < nodes.Length; i++)
+                {
+                    if (EqualityComparer<TElement>.Default.Equals(element, nodes[i].Element))
+                    {
+                        return i;
+                    }
+                }
+            }
+            else
+            {
+                for (int i = 0; i < nodes.Length; i++)
+                {
+                    if (equalityComparer.Equals(element, nodes[i].Element))
+                    {
+                        return i;
+                    }
+                }
+            }
+
+            return -1;
+        }
+
         /// <summary>
         /// Initializes the custom comparer to be used internally by the heap.
         /// </summary>

src/libraries/System.Collections/tests/Generic/PriorityQueue/PriorityQueue.Generic.Tests.cs

@@ -93,7 +93,7 @@ public void PriorityQueue_EnumerableConstructor_ShouldContainAllElements(int cou
 
         #endregion
 
-        #region Enqueue, Dequeue, Peek, EnqueueDequeue, DequeueEnqueue
+        #region Enqueue, Dequeue, Peek, EnqueueDequeue, DequeueEnqueue, Remove
 
         [Theory]
         [MemberData(nameof(ValidCollectionSizes))]
@@ -246,6 +246,35 @@ public void PriorityQueue_DequeueEnqueue(int count)
             AssertExtensions.CollectionEqual(expectedItems, queue.UnorderedItems, EqualityComparer<(TElement, TPriority)>.Default);
         }
 
+        [Theory]
+        [MemberData(nameof(ValidCollectionSizes))]
+        public void PriorityQueue_Remove_AllElements(int count)
+        {
+            bool result;
+            TElement removedElement;
+            TPriority removedPriority;
+
+            PriorityQueue<TElement, TPriority> queue = CreatePriorityQueue(count, count, out List<(TElement element, TPriority priority)> generatedItems);
+
+            for (int i = count - 1; i >= 0; i--)
+            {
+                (TElement element, TPriority priority) = generatedItems[i];
+
+                result = queue.Remove(element, out removedElement, out removedPriority);
+
+                Assert.True(result);
+                Assert.Equal(element, removedElement);
+                Assert.Equal(priority, removedPriority);
+                Assert.Equal(i, queue.Count);
+            }
+
+            result = queue.Remove(default, out removedElement, out removedPriority);
+
+            Assert.False(result);
+            Assert.Equal(default, removedElement);
+            Assert.Equal(default, removedPriority);
+        }
+
         #endregion
 
         #region Clear

src/libraries/System.Collections/tests/Generic/PriorityQueue/PriorityQueue.Tests.Dijkstra.cs

@@ -0,0 +1,78 @@
+// Licensed to the .NET Foundation under one or more agreements.
+// The .NET Foundation licenses this file to you under the MIT license.
+
+using System.Collections.Generic;
+using System.Linq;
+using Xunit;
+using NodeId = int;
+using Distance = int;
+
+namespace System.Collections.Tests
+{
+    public partial class PriorityQueue_NonGeneric_Tests
+    {
+        public record struct Graph(Edge[][] nodes);
+        public record struct Edge(NodeId neighbor, Distance weight);
+
+        [Fact]
+        public static void PriorityQueue_DijkstraSmokeTest()
+        {
+            var graph = new Graph([
+                [new Edge(1, 7), new Edge(2, 9), new Edge(5, 14)],
+                [new Edge(0, 7), new Edge(2, 10), new Edge(3, 15)],
+                [new Edge(0, 9), new Edge(1, 10), new Edge(3, 11), new Edge(5, 2)],
+                [new Edge(1, 15), new Edge(2, 11), new Edge(4, 6)],
+                [new Edge(3, 6), new Edge(5, 9)],
+                [new Edge(0, 14), new Edge(2, 2), new Edge(4, 9)],
+            ]);
+
+            NodeId startNode = 0;
+
+            (NodeId node, Distance distance)[] expectedDistances =
+            [
+                (0, 0),
+                (1, 7),
+                (2, 9),
+                (3, 20),
+                (4, 20),
+                (5, 11),
+            ];
+
+            (NodeId node, Distance distance)[] actualDistances = RunDijkstra(graph, startNode);
+
+            Assert.Equal(expectedDistances, actualDistances);
+        }
+
+        public static (NodeId node, Distance distance)[] RunDijkstra(Graph graph, NodeId startNode)
+        {
+            Distance[] distances = Enumerable.Repeat(int.MaxValue, graph.nodes.Length).ToArray();
+            var queue = new PriorityQueue<NodeId, Distance>();
+
+            distances[startNode] = 0;
+            queue.Enqueue(startNode, 0);
+
+            do
+            {
+                NodeId nodeId = queue.Dequeue();
+                Distance nodeDistance = distances[nodeId];
+
+                foreach (Edge edge in graph.nodes[nodeId])
+                {
+                    Distance distance = distances[edge.neighbor];
+                    Distance newDistance = nodeDistance + edge.weight;
+                    if (newDistance < distance)
+                    {
+                        distances[edge.neighbor] = newDistance;
+                        // Simulate priority update by attempting to remove the entry
+                        // before re-inserting it with the new distance.
+                        queue.Remove(edge.neighbor, out _, out _);
+                        queue.Enqueue(edge.neighbor, newDistance);
+                    }
+                }
+            }
+            while (queue.Count > 0);
+
+            return distances.Select((distance, nodeId) => (nodeId, distance)).ToArray();
+        }
+    }
+}

src/libraries/System.Collections/tests/Generic/PriorityQueue/PriorityQueue.Tests.cs

@@ -8,7 +8,7 @@
 
 namespace System.Collections.Tests
 {
-    public class PriorityQueue_NonGeneric_Tests : TestBase
+    public partial class PriorityQueue_NonGeneric_Tests : TestBase
     {
         protected PriorityQueue<string, int> CreateSmallPriorityQueue(out HashSet<(string, int)> items)
         {
@@ -167,6 +167,55 @@ public void PriorityQueue_Generic_EnqueueRange_Null()
             Assert.Equal("not null", queue.Dequeue());
         }
 
+        [Fact]
+        public void PriorityQueue_Generic_Remove_MatchingElement()
+        {
+            PriorityQueue<string, int> queue = new PriorityQueue<string, int>();
+            queue.EnqueueRange([("value0", 0), ("value1", 1), ("value2", 2)]);
+
+            Assert.True(queue.Remove("value1", out string removedElement, out int removedPriority));
+            Assert.Equal("value1", removedElement);
+            Assert.Equal(1, removedPriority);
+            Assert.Equal(2, queue.Count);
+        }
+
+        [Fact]
+        public void PriorityQueue_Generic_Remove_MismatchElement()
+        {
+            PriorityQueue<string, int> queue = new PriorityQueue<string, int>();
+            queue.EnqueueRange([("value0", 0), ("value1", 1), ("value2", 2)]);
+
+            Assert.False(queue.Remove("value4", out string removedElement, out int removedPriority));
+            Assert.Null(removedElement);
+            Assert.Equal(0, removedPriority);
+            Assert.Equal(3, queue.Count);
+        }
+
+        [Fact]
+        public void PriorityQueue_Generic_Remove_DuplicateElement()
+        {
+            PriorityQueue<string, int> queue = new PriorityQueue<string, int>();
+            queue.EnqueueRange([("value0", 0), ("value1", 1), ("value0", 2)]);
+
+            Assert.True(queue.Remove("value0", out string removedElement, out int removedPriority));
+            Assert.Equal("value0", removedElement);
+            Assert.True(removedPriority is 0 or 2);
+            Assert.Equal(2, queue.Count);
+        }
+
+        [Fact]
+        public void PriorityQueue_Generic_Remove_CustomEqualityComparer()
+        {
+            PriorityQueue<string, int> queue = new PriorityQueue<string, int>();
+            queue.EnqueueRange([("value0", 0), ("value1", 1), ("value2", 2)]);
+            EqualityComparer<string> equalityComparer = EqualityComparer<string>.Create((left, right) => left[^1] == right[^1]);
+
+            Assert.True(queue.Remove("someOtherValue1", out string removedElement, out int removedPriority, equalityComparer));
+            Assert.Equal("value1", removedElement);
+            Assert.Equal(1, removedPriority);
+            Assert.Equal(2, queue.Count);
+        }
+
         [Fact]
         public void PriorityQueue_Constructor_int_Negative_ThrowsArgumentOutOfRangeException()
         {
@@ -207,6 +256,16 @@ public void PriorityQueue_EmptyCollection_Peek_ShouldReturnFalse()
             Assert.Throws<InvalidOperationException>(() => queue.Peek());
         }
 
+        [Fact]
+        public void PriorityQueue_EmptyCollection_Remove_ShouldReturnFalse()
+        {
+            var queue = new PriorityQueue<string, string>();
+
+            Assert.False(queue.Remove(element: "element", out string removedElement, out string removedPriority));
+            Assert.Null(removedElement);
+            Assert.Null(removedPriority);
+        }
+
         #region EnsureCapacity, TrimExcess
 
         [Fact]

src/libraries/System.Collections/tests/System.Collections.Tests.csproj

@@ -1,4 +1,4 @@
-<Project Sdk="Microsoft.NET.Sdk">
+<Project Sdk="Microsoft.NET.Sdk">
   <PropertyGroup>
     <TargetFramework>$(NetCoreAppCurrent)</TargetFramework>
     <TestRuntime>true</TestRuntime>
@@ -106,6 +106,7 @@
     <Compile Include="Generic\PriorityQueue\PriorityQueue.Generic.Tests.cs" />
     <Compile Include="Generic\PriorityQueue\PriorityQueue.PropertyTests.cs" />
     <Compile Include="Generic\PriorityQueue\PriorityQueue.Tests.cs" />
+    <Compile Include="Generic\PriorityQueue\PriorityQueue.Tests.Dijkstra.cs" />
     <Compile Include="Generic\Queue\Queue.Generic.cs" />
     <Compile Include="Generic\Queue\Queue.Generic.Tests.cs" />
     <Compile Include="Generic\Queue\Queue.Tests.cs" />