m3

2024-06-21 21:59:13 +08:00
commit 614bc59897
28 changed files with 2049 additions and 0 deletions
--- a/tests/REFFTest.cs
+++ b/tests/REFFTest.cs
@@ -0,0 +1,142 @@
+using System;
+using System.Numerics;
+
+namespace SkeletonTest.tests;
+
+/// <summary>
+/// 
+/// </summary>
+public static class REFFTest
+{
+
+	private static readonly Complex ii = new Complex(0, 1);
+
+	[Test]
+	public static void M22RREFtest()
+	{
+		Assert.IsTrue(new R22(2, 3, 4, 5).RowReduce().ReducedForm.IsEqualApprox(R22.One));
+		Assert.IsTrue(new R22(4, 8, 1, 2).RowReduce().ReducedForm.IsEqualApprox(new R22(1, 2, 0, 0)));
+		Assert.IsTrue(new C22(2, 3, 4, 3 + 3 * ii).RowReduce().ReducedForm.IsEqualApprox(C22.One));
+		Assert.IsTrue(new C22(1 + ii, 1, 2 + 2 * ii, 2).RowReduce().ReducedForm
+			.IsEqualApprox(new C22(1, new Complex(0.5, -0.5), 0, 0)));
+	}
+	[Test]
+	public static void M33RREFTest()
+	{
+		var s = new R33(
+			2, 3, 4,
+			0, 6, 7,
+			8, 9, 0
+		).RowReduce().ReducedForm.Representation;
+		Assert.IsTrue(new R33(
+			2, 3, 4,
+			0, 6, 7,
+			8, 9, 0
+		).RowReduce().ReducedForm.IsEqualApprox(R33.One));
+		Assert.IsTrue(R33.Zero.RowReduce().ReducedForm.IsEqualApprox(R33.Zero));
+		Assert.IsTrue(new C33(
+				0, 2 + ii, 2 + 2 * ii,
+				3 + ii, 0, 3 + 3 * ii,
+				4 + 2 * ii, 2 + 6 * ii, 0
+			).RowReduce().ReducedForm.IsEqualApprox(C33.One)
+		);
+		Assert.IsTrue(new C33(
+				0, 0, 2 + 2 * ii,
+				3, 3 * ii, 1 + 2 * ii,
+				6 + ii, 0, 0
+			).RowReduce().ReducedForm.IsEqualApprox(C33.One)
+		);
+		Console.WriteLine(
+			new C33(
+			0, 0, 2 + 2 * ii, 
+			3, 3 * ii, 1 + 2 * ii,
+			0, 0, 0
+		).RowReduce().ReducedForm.Representation);
+		Console.WriteLine(
+			new C33(
+				0, 0, 2 + 2 * ii,
+				3, 3 * ii, 1 + 2 * ii,
+				0, 0, 0
+			).Representation
+		);
+		Assert.IsTrue(
+			new C33(
+				0, 0, 2 + 2 * ii,
+				3, 3 * ii, 1 + 2 * ii,
+				0, 0, 0
+			).RowReduce().ReducedForm.IsEqualApprox(
+				new C33(
+					1, ii, 0,
+					0, 0, 1,
+					0, 0, 0
+				)
+			)
+		);
+	}
+	[Test]
+	public static void M44RREFTest()
+	{
+		Assert.IsTrue(
+			new R44(
+				0, 1, 0, 1,
+				0, 0, 1, 0,
+				1, 0, 1, 0,
+				1, 1, 1, 1
+			).RowReduce().ReducedForm.IsEqualApprox(
+				new R44(
+					1, 0, 0, 0,
+					0, 1, 0, 1,
+					0, 0, 1, 0,
+					0, 0, 0, 0
+				)
+			)
+		);
+		Assert.IsTrue(
+			new R44(
+				0, 1, 0, 1,
+				1, 0, 1, 0,
+				0, 0, 1, 1,
+				1, 1, 0, 0
+			).RowReduce().ReducedForm.IsEqualApprox(
+				new R44(
+					1, 0, 0, -1,
+					0, 1, 0, 1,
+					0, 0, 1, 1,
+					0, 0, 0, 0
+				)
+			)
+		);
+		Assert.IsTrue(
+			new R44(
+				0, 1, 0, 1,
+				1, 0, 1, 0,
+				0, 0, 1, 1,
+				1, 0, 1, 1
+			).RowReduce().ReducedForm.IsEqualApprox(R44.One)
+		);
+		Assert.IsTrue(
+			new C44(
+				0, 1, 0, 1 + ii,
+				1, 0, 1, 0,
+				0, 0, 1, 1 + ii,
+				1, 0, 1, 1
+			).RowReduce().ReducedForm.IsEqualApprox(C44.One)
+		);
+		Assert.IsTrue(
+			new C44(
+				0, 1, 0, 1 + ii,
+				1, 0, 1, 0,
+				0, 0, 1, 1 + ii,
+				1, 1, 0, 0
+			).RowReduce().ReducedForm.IsEqualApprox(
+				new C44(
+					1, 0, 0, -1 - ii,
+					0, 1, 0, 1 + ii,
+					0, 0, 1, 1 + ii,
+					0, 0, 0, 0
+				)
+			)
+		);
+	}
+	
+}