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
				)
			)
		);
	}
	
}