initial commit

2025-08-03 20:24:38 -07:00
commit 6b9f8b2f04
586 changed files with 2006175 additions and 0 deletions
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+using System;
+using System.Linq;
+using NUnit.Framework;
+
+namespace magicSquare.Tests
+{
+	[TestFixture]
+	public class SquareMatrixTests
+	{
+		[Test]
+		public void Init()
+		{
+			var vals 
+				= new [,]
+					{
+						{1, 2, 3}, 
+						{4, 5, 6}, 
+						{7, 8, 9}
+					};
+
+			var matrix = new SquareMatrix(vals);
+			Assert.That(matrix.IsFeasible(), Is.False);
+
+			Assert.That(matrix.ColumnSum(0), Is.EqualTo(12));
+			Assert.That(matrix.ColumnSum(1), Is.EqualTo(15));
+			Assert.That(matrix.ColumnSum(2), Is.EqualTo(18));
+			Assert.That(matrix.RowSum(0), Is.EqualTo(6));
+			Assert.That(matrix.RowSum(1), Is.EqualTo(15));
+			Assert.That(matrix.RowSum(2), Is.EqualTo(24));
+			Assert.That(matrix.Diag1Sum, Is.EqualTo(15));
+			Assert.That(matrix.Diag2Sum, Is.EqualTo(15));
+			Assert.That(matrix.ColumnDelta(0), Is.EqualTo(-3));
+			Assert.That(matrix.ColumnDelta(1), Is.EqualTo(0));
+			Assert.That(matrix.ColumnDelta(2), Is.EqualTo(3));
+			Assert.That(matrix.RowDelta(0), Is.EqualTo(-9));
+			Assert.That(matrix.RowDelta(1), Is.EqualTo(0));
+			Assert.That(matrix.RowDelta(2), Is.EqualTo(9));
+		}
+
+		[Test]
+		public void Swap()
+		{
+			var vals 
+				= new [,]
+					{
+						{1, 2, 3}, 
+						{4, 5, 6}, 
+						{7, 8, 9}
+					};
+
+			var matrix = new SquareMatrix(vals);
+			matrix.Swap(1,1,2,1);
+			PrintMatrix(matrix);
+			Assert.That(matrix.IsFeasible(), Is.False);
+
+			Assert.That(matrix.ColumnSum(0), Is.EqualTo(12));
+			Assert.That(matrix.ColumnSum(1), Is.EqualTo(15));
+			Assert.That(matrix.ColumnSum(2), Is.EqualTo(18));
+			Assert.That(matrix.RowSum(0), Is.EqualTo(6));
+			Assert.That(matrix.RowSum(1), Is.EqualTo(18));
+			Assert.That(matrix.RowSum(2), Is.EqualTo(21));
+			Assert.That(matrix.Diag1Sum, Is.EqualTo(18));
+			Assert.That(matrix.Diag2Sum, Is.EqualTo(18));
+			Assert.That(matrix.ColumnDelta(0), Is.EqualTo(-3));
+			Assert.That(matrix.ColumnDelta(1), Is.EqualTo(0));
+			Assert.That(matrix.ColumnDelta(2), Is.EqualTo(3));
+			Assert.That(matrix.RowDelta(0), Is.EqualTo(-9));
+			Assert.That(matrix.RowDelta(1), Is.EqualTo(3));
+			Assert.That(matrix.RowDelta(2), Is.EqualTo(6));
+		}
+
+		[Test]
+		public void Swap2()
+		{
+			var vals 
+				= new [,]
+					{
+						{1, 2, 3}, 
+						{4, 5, 6}, 
+						{7, 8, 9}
+					};
+
+			var matrix = new SquareMatrix(vals);
+			matrix.Swap(0,1,1,2);
+			PrintMatrix(matrix);
+			Assert.That(matrix.IsFeasible(), Is.False);
+
+			Assert.That(matrix.ColumnSum(0), Is.EqualTo(12));
+			Assert.That(matrix.ColumnSum(1), Is.EqualTo(19));
+			Assert.That(matrix.ColumnSum(2), Is.EqualTo(14));
+			Assert.That(matrix.RowSum(0), Is.EqualTo(10));
+			Assert.That(matrix.RowSum(1), Is.EqualTo(11));
+			Assert.That(matrix.RowSum(2), Is.EqualTo(24));
+			Assert.That(matrix.Diag1Sum, Is.EqualTo(15));
+			Assert.That(matrix.Diag2Sum, Is.EqualTo(15));
+			Assert.That(matrix.ColumnDelta(0), Is.EqualTo(-3));
+			Assert.That(matrix.ColumnDelta(1), Is.EqualTo(4));
+			Assert.That(matrix.ColumnDelta(2), Is.EqualTo(-1));
+			Assert.That(matrix.RowDelta(0), Is.EqualTo(-5));
+			Assert.That(matrix.RowDelta(1), Is.EqualTo(-4));
+			Assert.That(matrix.RowDelta(2), Is.EqualTo(9));
+		}
+
+		[Test]
+		public void Swap3()
+		{
+			var vals 
+				= new [,]
+					{
+						{1, 2, 3}, 
+						{4, 5, 6}, 
+						{7, 8, 9}
+					};
+
+			var matrix = new SquareMatrix(vals);
+			matrix.Swap(2,0,1,2);
+			PrintMatrix(matrix);
+			Assert.That(matrix.IsFeasible(), Is.False);
+
+			Assert.That(matrix.ColumnSum(0), Is.EqualTo(11));
+			Assert.That(matrix.ColumnSum(1), Is.EqualTo(15));
+			Assert.That(matrix.ColumnSum(2), Is.EqualTo(19));
+			Assert.That(matrix.RowSum(0), Is.EqualTo(6));
+			Assert.That(matrix.RowSum(1), Is.EqualTo(16));
+			Assert.That(matrix.RowSum(2), Is.EqualTo(23));
+			Assert.That(matrix.Diag1Sum, Is.EqualTo(15));
+			Assert.That(matrix.Diag2Sum, Is.EqualTo(14));
+			Assert.That(matrix.ColumnDelta(0), Is.EqualTo(-4));
+			Assert.That(matrix.ColumnDelta(1), Is.EqualTo(0));
+			Assert.That(matrix.ColumnDelta(2), Is.EqualTo(4));
+			Assert.That(matrix.RowDelta(0), Is.EqualTo(-9));
+			Assert.That(matrix.RowDelta(1), Is.EqualTo(1));
+			Assert.That(matrix.RowDelta(2), Is.EqualTo(8));
+		}
+
+		[Test]
+		public void Deltas()
+		{
+			var vals
+				= new[,]
+					{
+						{1, 2, 3},
+						{4, 5, 6},
+						{7, 8, 9}
+					};
+
+			var matrix = new SquareMatrix(vals);
+			var pairs = matrix.MaxColumnDeltaPairs().ToArray();
+			Assert.That(pairs.First(), Is.EqualTo(new Tuple<int,int>(0,2)));
+		}
+		[Test]
+		public void Deltas2()
+		{
+			var vals
+				= new[,]
+					{
+						{1, 2, 3, 4},
+						{4, 5, 6, 7},
+						{8, 9, 10, 11},
+						{12,13,14,15}
+					};
+
+			var matrix = new SquareMatrix(vals);
+			var pairs = matrix.MaxColumnDeltaPairs().ToArray();
+			Assert.That(pairs.First(), Is.EqualTo(new Tuple<int,int>(1,3)));
+		}
+
+		[Test]
+		public void IsDiagonalTest()
+		{
+			var vals
+				= new[,]
+					{
+						{1, 2, 3, 4},
+						{4, 5, 6, 7},
+						{8, 9, 10, 11},
+						{12,13,14,15}
+					};
+
+			
+
+		}
+
+		private void PrintMatrix(SquareMatrix sm)
+		{
+			Console.WriteLine(sm.Size);
+			var rowValues =
+				from row in Enumerable.Range(0, sm.Size)
+				let rowVals =
+					(from col in Enumerable.Range(0, sm.Size)
+					 select sm.GetValue(row,col))
+				select rowVals;
+			foreach (var rowValue in rowValues)
+			{
+				Console.WriteLine(string.Join("\t", rowValue.ToArray()));
+			}
+		}
+	}
+}