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using System;
using AlgorithmsAndDataStructures.DataStructures.BinarySearchTrees;
using AlgorithmsAndDataStructures.DataStructures.Common;
using Xunit;
namespace AlgorithmsAndDataStructures.Tests.DataStructures.BinarySearchTrees;
public class BinarySearchTreeTests
{
[Fact]
public void EmptyTreeCorrectlyReportsItsEmptiness()
{
var sut = new BinarySearchTree<int>();
Assert.True(sut.IsEmpty());
}
[Fact]
public void NonEmptyTreeCorrectlyReportsItsEmptiness()
{
var sut = new BinarySearchTree<int>();
sut.Insert(1);
Assert.False(sut.IsEmpty());
}
[Fact]
public void InsertToAnEmptyTreeCreatesRoot()
{
var sut = new BinarySearchTree<int>();
sut.Insert(1);
var dfsInOrder = sut.DepthFirstTraversalInOrder();
Assert.Equal(1, dfsInOrder[0]);
}
[Fact]
public void LeftSubtreeIsBinarySearchTree()
{
var sut = new BinarySearchTree<int>();
sut.Insert(4);
sut.Insert(2);
sut.Insert(3);
sut.Insert(1);
var root = sut.GetRoot();
Assert.Equal(4, root.Value);
Assert.Equal(2, root.Left.Value);
Assert.Equal(1, root.Left.Left.Value);
Assert.Equal(3, root.Left.Right.Value);
}
[Fact]
public void RightSubtreeIsBinarySearchTree()
{
var sut = new BinarySearchTree<int>();
sut.Insert(1);
sut.Insert(3);
sut.Insert(2);
sut.Insert(4);
var root = sut.GetRoot();
Assert.Equal(1, root.Value);
Assert.Equal(3, root.Right.Value);
Assert.Equal(2, root.Right.Left.Value);
Assert.Equal(4, root.Right.Right.Value);
}
[Fact]
public void AllSubtreesAreBinarySearchTrees()
{
var sut = new BinarySearchTree<int>();
var random = new Random();
for (var j = 0; j < 10; j++)
for (var i = 0; i < 100000; i++)
{
var number = random.Next();
sut.Insert(number);
}
CheckInvariantRecursive(sut.GetRoot());
}
[Fact]
public void AllSubtreesAreBinarySearchTreesAfterDeletes()
{
var sut = new BinarySearchTree<int>();
var random = new Random();
for (var j = 0; j < 100; j++)
{
for (var i = 0; i < 10000; i++)
{
var number = random.Next(1000);
sut.Insert(number);
}
for (var z = 0; z < 1000; z++)
{
var number = random.Next(1000);
sut.Delete(number);
CheckInvariantRecursive(sut.GetRoot());
}
}
}
private void CheckInvariantRecursive(BinaryTreeNode<int> root)
{
if (root.Left != null)
{
Assert.True(root.Value > root.Left.Value);
CheckInvariantRecursive(root.Left);
}
if (root.Right != null)
{
Assert.True(root.Value < root.Right.Value);
CheckInvariantRecursive(root.Right);
}
}
}