Implemented everything. Need a beer.

Co-authored-by: nkollack <nkollack@gmail.com>

14 files changed, 20420 insertions, 7 deletions

diff --git a/.vscode/tasks.json b/.vscode/tasks.json
index 3addfe3..d8704c4 100644
--- a/.vscode/tasks.json
+++ b/.vscode/tasks.json
@@ -14,27 +14,49 @@
             "problemMatcher": "$msCompile"
         },
         {
-            "label": "publish",
+            "label": "release",
+            "type": "shell",
+            "dependsOn": [
+                "release-win-x64",
+                "release-linux-x64"
+            ],
+            "problemMatcher": []
+        },
+        {
+            "label": "release-win-x64",
             "command": "dotnet",
             "type": "process",
             "args": [
                 "publish",
                 "${workspaceFolder}/src/Program/Program.csproj",
                 "/property:GenerateFullPaths=true",
-                "/consoleloggerparameters:NoSummary"
+                "/property:PublishSingleFile=true",
+                "/consoleloggerparameters:NoSummary",
+                "-c",
+                "Release",
+                "-r",
+                "win-x64",
+                "-o",
+                "${workspaceFolder}/release/win-64"
             ],
             "problemMatcher": "$msCompile"
         },
         {
-            "label": "watch",
+            "label": "release-linux-x64",
             "command": "dotnet",
             "type": "process",
             "args": [
-                "watch",
-                "run",
+                "publish",
                 "${workspaceFolder}/src/Program/Program.csproj",
                 "/property:GenerateFullPaths=true",
-                "/consoleloggerparameters:NoSummary"
+                "/property:PublishSingleFile=true",
+                "/consoleloggerparameters:NoSummary",
+                "-c",
+                "Release",
+                "-r",
+                "linux-x64",
+                "-o",
+                "${workspaceFolder}/release/linux-64"
             ],
             "problemMatcher": "$msCompile"
         }
diff --git a/ClosestPairs.sln b/ClosestPairs.sln
index e069d3a..c6ed4b7 100644
--- a/ClosestPairs.sln
+++ b/ClosestPairs.sln
@@ -7,6 +7,10 @@ Project("{2150E333-8FDC-42A3-9474-1A3956D46DE8}") = "src", "src", "{20B7E2EB-658
 EndProject
 Project("{FAE04EC0-301F-11D3-BF4B-00C04F79EFBC}") = "Program", "src\Program\Program.csproj", "{E485EC52-37F9-4944-93B4-72BD69011C2F}"
 EndProject
+Project("{FAE04EC0-301F-11D3-BF4B-00C04F79EFBC}") = "ClosestPair", "src\ClosestPair\ClosestPair.csproj", "{8B5D0235-E3D3-49D7-9273-2F2193D61FBE}"
+EndProject
+Project("{FAE04EC0-301F-11D3-BF4B-00C04F79EFBC}") = "MergeSort", "src\MergeSort\MergeSort.csproj", "{031322B4-611B-4045-8618-299745A544A2}"
+EndProject
 Global
 	GlobalSection(SolutionConfigurationPlatforms) = preSolution
 		Debug|Any CPU = Debug|Any CPU
@@ -20,8 +24,18 @@ Global
 		{E485EC52-37F9-4944-93B4-72BD69011C2F}.Debug|Any CPU.Build.0 = Debug|Any CPU
 		{E485EC52-37F9-4944-93B4-72BD69011C2F}.Release|Any CPU.ActiveCfg = Release|Any CPU
 		{E485EC52-37F9-4944-93B4-72BD69011C2F}.Release|Any CPU.Build.0 = Release|Any CPU
+		{8B5D0235-E3D3-49D7-9273-2F2193D61FBE}.Debug|Any CPU.ActiveCfg = Debug|Any CPU
+		{8B5D0235-E3D3-49D7-9273-2F2193D61FBE}.Debug|Any CPU.Build.0 = Debug|Any CPU
+		{8B5D0235-E3D3-49D7-9273-2F2193D61FBE}.Release|Any CPU.ActiveCfg = Release|Any CPU
+		{8B5D0235-E3D3-49D7-9273-2F2193D61FBE}.Release|Any CPU.Build.0 = Release|Any CPU
+		{031322B4-611B-4045-8618-299745A544A2}.Debug|Any CPU.ActiveCfg = Debug|Any CPU
+		{031322B4-611B-4045-8618-299745A544A2}.Debug|Any CPU.Build.0 = Debug|Any CPU
+		{031322B4-611B-4045-8618-299745A544A2}.Release|Any CPU.ActiveCfg = Release|Any CPU
+		{031322B4-611B-4045-8618-299745A544A2}.Release|Any CPU.Build.0 = Release|Any CPU
 	EndGlobalSection
 	GlobalSection(NestedProjects) = preSolution
 		{E485EC52-37F9-4944-93B4-72BD69011C2F} = {20B7E2EB-658A-4133-A3F9-5E6326EB8B7C}
+		{8B5D0235-E3D3-49D7-9273-2F2193D61FBE} = {20B7E2EB-658A-4133-A3F9-5E6326EB8B7C}
+		{031322B4-611B-4045-8618-299745A544A2} = {20B7E2EB-658A-4133-A3F9-5E6326EB8B7C}
 	EndGlobalSection
 EndGlobal
diff --git a/src/ClosestPair/ClosestPair.cs b/src/ClosestPair/ClosestPair.cs
new file mode 100644
index 0000000..aa51106
--- /dev/null
+++ b/src/ClosestPair/ClosestPair.cs
@@ -0,0 +1,125 @@
+using System;
+using System.Collections.Generic;
+
+namespace ClosestPair
+{
+    public class ClosestPair
+    {
+        public (Point, Point) closestPair;
+
+        public static PointPair FindClosestPair(PointArray points)
+        {
+            /*
+            (Point, Point) ClosestPair(list Points) base function
+                When PointArray is instantiated:
+                    Creates two lists, needs to be O(n log n)
+                    lists: Px (P sorted by x), Py (P sorted by y)
+            
+            FindClosestPair calls recursive ClosestPair(Px, Py), which returns the closest points
+            */
+            // points[1]
+            // points.SortedByX[1]
+            // points.SortedByY[1]
+            return ClosestPairRecursive(points.SortedByX, points.SortedByY);
+        }
+
+        static PointPair ClosestPairRecursive(Point[] Px, Point[] Py)
+        {
+            if (Px.Length <= 3)
+                return BruteForce(Px);
+
+            int middle = Px.Length / 2;
+            Point[] Qx, Qy, Rx, Ry;
+
+            Qx = Qy = new Point[middle];
+            Rx = Ry = new Point[Px.Length - middle];
+
+            // Creates four lists, needs to be O(n log n)
+            // lists: Qx, Qy (first half of Px and Py)
+            //        Rx, Ry (last half of Px and Py)
+
+            Array.Copy(Px, Qx, Qx.Length);
+            Array.Copy(Px, Qy, Qy.Length);
+            Array.Copy(Px, middle, Rx, 0, Rx.Length);
+            Array.Copy(Px, middle, Ry, 0, Ry.Length);
+
+            // calls ClosestPairRecursive on (Qx, Qy), (Rx, Ry) returns closest points in each set
+            PointPair qPair = ClosestPairRecursive(Qx, Qy);
+            PointPair rPair = ClosestPairRecursive(Rx, Ry);
+
+            double delta = Math.Min(qPair.Distance, rPair.Distance);
+
+            // x value of midpoint
+            int L = Qx[Qx.Length - 1].X;
+
+            //Sx = points in Px within distance delta of L
+            List<Point> Sx = new();
+            for (int j = 0; j < Px.Length; j++)
+                if (Px[j].XDiff(L) < delta)
+                    Sx.Add(Px[j]);
+
+            //     Create Sy (Sx sorted by y)
+            PointArray S = new PointArray(Sx.ToArray(), isXSorted: true, isYSorted: false);
+
+            //     for each point s in Sy
+            //         compute distance from s
+            //         to each of next 15 points in Sy
+            //         Let (Point s0, Point s1) be minimum distance pair
+            //         All of this is O(n)
+            if (S.SortedByY.Length < 2)
+                return qPair.Distance < rPair.Distance ? qPair : rPair;
+
+            PointPair sPair = new PointPair(S.SortedByY[0], S.SortedByY[1]);
+            double min = double.MaxValue;
+            for (int i = 0; i < S.SortedByY.Length; i++)
+                for (int j = i + 1; j < S.SortedByY.Length && j <= i + 7; j++)
+                    if (S.SortedByY[i].DistanceTo(S.SortedByY[j]) < min)
+                    {
+                        min = S.SortedByY[i].DistanceTo(S.SortedByY[j]);
+                        sPair = new PointPair(S.SortedByY[i], S.SortedByY[j]);
+                    }
+
+
+            if (sPair.Distance < delta)
+                return sPair;
+            else
+                return qPair.Distance < rPair.Distance ? qPair : rPair;
+
+            //     if distance(Point s0, Point s1) < delta
+            //         return (Point s0, Point s1)
+
+            //     else if (Point q0, Point q1) < (Point r0, Point r1)
+            //         return (Point q0, Point q1)
+
+            //     else
+            //         return (Point r0, Point r1)
+        }
+
+        static PointPair BruteForce(Point[] P)
+        {
+            double min = double.MaxValue;
+            PointPair pair = new PointPair(P[0], P[1]);
+
+            for (int i = 0; i < P.Length; i++)
+                for (int j = i + 1; j < P.Length; j++)
+                    if (P[i].DistanceTo(P[j]) < min)
+                    {
+                        min = P[i].DistanceTo(P[j]);
+                        pair = new PointPair(P[i], P[j]);
+                    }
+            return pair;
+        }
+
+        // public void Split<T>(T[] array, int index, out T[] first, out T[] second)
+        // {
+        //     first = array.Take(index).ToArray();
+        //     second = array.Skip(index).ToArray();
+        // }
+
+        // public void SplitMidPoint<T>(T[] array, out T[] first, out T[] second)
+        // {
+        //     Split(array, array.Length / 2, out first, out second);
+        // }
+    }
+}
+
diff --git a/src/ClosestPair/ClosestPair.csproj b/src/ClosestPair/ClosestPair.csproj
new file mode 100644
index 0000000..9fa523a
--- /dev/null
+++ b/src/ClosestPair/ClosestPair.csproj
@@ -0,0 +1,12 @@
+<Project Sdk="Microsoft.NET.Sdk">
+
+  <ItemGroup>
+    <ProjectReference Include="..\MergeSort\MergeSort.csproj" />
+  </ItemGroup>
+
+  <PropertyGroup>
+    <TargetFramework>net5.0</TargetFramework>
+    <Nullable>enable</Nullable>
+  </PropertyGroup>
+
+</Project>
diff --git a/src/ClosestPair/Point.cs b/src/ClosestPair/Point.cs
new file mode 100644
index 0000000..9643e02
--- /dev/null
+++ b/src/ClosestPair/Point.cs
@@ -0,0 +1,39 @@
+using System;
+using System.Collections.Generic;
+
+namespace ClosestPair
+{
+    public class Point
+    {
+        public int X { get; set; }
+        public int Y { get; set; }
+
+        public Point(int x, int y)
+        {
+            X = x;
+            Y = y;
+        }
+
+        public Point(Point p) : this(p.X, p.Y) { }
+
+        public double DistanceTo(Point p)
+            => Math.Sqrt(
+                Math.Pow(XDiff(p.X), 2) +
+                Math.Pow(YDiff(p.Y), 2)
+            );
+        
+        public double XDiff(int x)
+            => Math.Abs(X - x);
+        
+        public double YDiff(int y)
+            => Math.Abs(Y - y);
+
+        public static IComparer<Point> CompareX()
+            => Comparer<Point>.Create((p1, p2) => p1.X.CompareTo(p2.X));
+
+        public static IComparer<Point> CompareY()
+            => Comparer<Point>.Create((p1, p2) => p1.Y.CompareTo(p2.Y));
+
+        public override string ToString() => $"({X}, {Y})";
+    }
+}
\ No newline at end of file
diff --git a/src/ClosestPair/PointArray.cs b/src/ClosestPair/PointArray.cs
new file mode 100644
index 0000000..698ed39
--- /dev/null
+++ b/src/ClosestPair/PointArray.cs
@@ -0,0 +1,47 @@
+using System;
+using MergeSort;
+
+namespace ClosestPair
+{
+    public class PointArray
+    {
+        Point[] _points;
+        public Point[] SortedByX;
+        public Point[] SortedByY;
+
+        public PointArray(Point[] array, bool isXSorted = false, bool isYSorted = false)
+        {
+            _points = new Point[array.Length];
+            SortedByX = new Point[array.Length];
+            SortedByY = new Point[array.Length];
+
+            // SortedByX = isXSorted ? _points : SortByX();
+            // SortedByY = isYSorted ? _points : SortByY();
+            Array.Copy(array, _points, _points.Length);
+            if (isXSorted)
+                Array.Copy(array, SortedByX, SortedByX.Length);
+            else
+            {
+                Point[] sorted = SortByX();
+                Array.Copy(sorted, SortedByX, SortedByX.Length);
+            }
+
+            if (isYSorted)
+                Array.Copy(array, SortedByY, SortedByY.Length);
+            else{
+                Point[] sorted = SortByY();
+                Array.Copy(sorted, SortedByY, SortedByY.Length);
+            }
+        }
+
+        public PointArray(string file) : this(PointFile.ReadFile(file), false, false) { }
+
+        public Point this[int i] => _points[i];
+
+        Point[] SortByX()
+            => MergeSort<Point>.Sort(_points, Point.CompareX());
+
+        Point[] SortByY()
+            => MergeSort<Point>.Sort(_points, Point.CompareY());
+    }
+}
\ No newline at end of file
diff --git a/src/ClosestPair/PointFile.cs b/src/ClosestPair/PointFile.cs
new file mode 100644
index 0000000..961c5d6
--- /dev/null
+++ b/src/ClosestPair/PointFile.cs
@@ -0,0 +1,32 @@
+using System.Collections.Generic;
+using System.IO;
+
+namespace ClosestPair
+{
+
+    public static class PointFile
+    {
+        public static Point[] ReadFile(string file)
+        {
+            List<Point> points = new();
+
+            foreach (string line in File.ReadLines(file))
+                points.Add(CreatePoint(line));
+
+            return points.ToArray();
+        }
+
+        static Point CreatePoint(string line)
+        {
+            (int x, int y) = ParseXY(line.Split(" ", 2));
+            return new Point(x, y);
+        }
+
+        static (int X, int Y) ParseXY(string[] values)
+        {
+            int x = int.Parse(values[0]);
+            int y = int.Parse(values[1]);
+            return (x, y);
+        }
+    }
+}
\ No newline at end of file
diff --git a/src/ClosestPair/PointPair.cs b/src/ClosestPair/PointPair.cs
new file mode 100644
index 0000000..02370a9
--- /dev/null
+++ b/src/ClosestPair/PointPair.cs
@@ -0,0 +1,20 @@
+namespace ClosestPair
+{
+    public class PointPair
+    {
+        public Point Point1 { get; set; }
+        public Point Point2 { get; set; }
+        public double Distance { get => Point1.DistanceTo(Point2); }
+
+        public PointPair(Point point1, Point point2)
+        {
+            Point1 = point1;
+            Point2 = point2;
+        }
+
+        public override string ToString()
+        {
+            return $"Point1: {Point1} Point2: {Point2} Distance: {Distance}";
+        }
+    }
+}
\ No newline at end of file
diff --git a/src/MergeSort/MergeSort.cs b/src/MergeSort/MergeSort.cs
new file mode 100644
index 0000000..5c57bd4
--- /dev/null
+++ b/src/MergeSort/MergeSort.cs
@@ -0,0 +1,58 @@
+using System;
+using System.Collections.Generic;
+
+namespace MergeSort
+{
+    public class MergeSort<TElement>
+    {
+        // public static IEnumerable<TComparable> Sort(IEnumerable<TComparable> elements)
+        //     => Sort(elements, Comparer<TComparable>.Default);
+
+        public static TElement[] Sort(TElement[] arr, IComparer<TElement>? comparer = null)
+        {
+            if (comparer == null)
+                comparer = Comparer<TElement>.Default;    
+
+            return SortRecursive(arr, comparer);
+        }
+        private static TElement[] SortRecursive(TElement[] arr, IComparer<TElement> comparer)
+        {
+            if (arr.Length <= 1)
+                return arr;
+
+            int middle = arr.Length / 2;
+
+            TElement[] leftArr = new TElement[middle];
+            TElement[] rightArr = new TElement[arr.Length - middle];
+
+            Array.Copy(arr, leftArr, leftArr.Length);
+            Array.Copy(arr, middle, rightArr, 0, rightArr.Length);
+
+            SortRecursive(leftArr, comparer);
+            SortRecursive(rightArr, comparer);
+
+            return Merge(arr, leftArr, rightArr, comparer);
+        }
+
+        private static TElement[] Merge(TElement[] arr, TElement[] leftArr, TElement[] rightArr, IComparer<TElement> comparer)
+        {
+            int leftPos = 0, rightPos = 0;
+
+            for (int i = 0; i < arr.Length; i++)
+
+                if (leftPos >= leftArr.Length)
+                    arr[i] = rightArr[rightPos++];
+
+                else if (rightPos >= rightArr.Length)
+                    arr[i] = leftArr[leftPos++];
+
+                else if (comparer.Compare(leftArr[leftPos], rightArr[rightPos]) < 0)
+                    arr[i] = leftArr[leftPos++];
+
+                else
+                    arr[i] = rightArr[rightPos++];
+
+            return arr;
+        }
+    }
+}
diff --git a/src/MergeSort/MergeSort.csproj b/src/MergeSort/MergeSort.csproj
new file mode 100644
index 0000000..2991887
--- /dev/null
+++ b/src/MergeSort/MergeSort.csproj
@@ -0,0 +1,8 @@
+<Project Sdk="Microsoft.NET.Sdk">
+
+  <PropertyGroup>
+    <TargetFramework>net5.0</TargetFramework>
+    <Nullable>enable</Nullable>
+  </PropertyGroup>
+
+</Project>
diff --git a/src/Program/Program.cs b/src/Program/Program.cs
index 6fddc77..9ba697b 100644
--- a/src/Program/Program.cs
+++ b/src/Program/Program.cs
@@ -1,2 +1,33 @@
-// See https://aka.ms/new-console-template for more information
+using System;
+using System.Collections.Generic;
+using System.Diagnostics;
+using System.IO;
 
+namespace ClosestPair
+{
+    public class Program
+    {
+        public static void Main(string[] args)
+        {
+            FileInfo inputFile = (args.Length > 0) ? new FileInfo(args[0]) : new FileInfo("points1.txt");
+
+            if (!inputFile.Exists) {
+                Console.WriteLine($"Failed to open {inputFile}: File does not exist.");
+                return;
+            }
+            
+            Stopwatch stopWatch = new Stopwatch();
+            stopWatch.Start();
+
+            PointArray points = new PointArray(inputFile.FullName);
+            PointPair closestPair = ClosestPair.FindClosestPair(points);
+
+            stopWatch.Stop();
+            TimeSpan ts = stopWatch.Elapsed;
+
+            Console.WriteLine($"Closest Points: {closestPair}");
+            Console.WriteLine($"Runtime: {ts.ToString("mm\\:ss\\.ff")}");
+        }
+    }
+
+}
\ No newline at end of file
diff --git a/src/Program/Program.csproj b/src/Program/Program.csproj
index d75be91..43f0ac8 100644
--- a/src/Program/Program.csproj
+++ b/src/Program/Program.csproj
@@ -1,5 +1,10 @@
 <Project Sdk="Microsoft.NET.Sdk">
 
+  <ItemGroup>
+    <ProjectReference Include="..\ClosestPair\ClosestPair.csproj" />
+    <ProjectReference Include="..\MergeSort\MergeSort.csproj" />
+  </ItemGroup>
+
   <PropertyGroup>
     <OutputType>Exe</OutputType>
     <TargetFramework>net5.0</TargetFramework>
diff --git a/src/Program/points1.txt b/src/Program/points1.txt
new file mode 100644
index 0000000..f559d31
--- /dev/null
+++ b/src/Program/points1.txt
@@ -0,0 +1,10000 @@
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diff --git a/src/Program/points2.txt b/src/Program/points2.txt
new file mode 100644
index 0000000..452949e
--- /dev/null
+++ b/src/Program/points2.txt
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