C# Display a Binary Search Tree in Console

fubo picture fubo · Mar 30, 2016 · Viewed 15.2k times · Source

I have simple binary search tree

public class BNode
{
    public int item;
    public BNode right;
    public BNode left;

    public BNode(int item)
    {
        this.item = item;
    }
}

public class BTree
{
    private BNode _root;
    private int _count;
    private IComparer<int> _comparer = Comparer<int>.Default;


    public BTree()
    {
        _root = null;
        _count = 0;
    }


    public bool Add(int Item)
    {
        if (_root == null)
        {
            _root = new BNode(Item);
            _count++;
            return true;
        }
        else
        {
            return Add_Sub(_root, Item);
        }
    }

    private bool Add_Sub(BNode Node, int Item)
    {
        if (_comparer.Compare(Node.item, Item) < 0)
        {
            if (Node.right == null)
            {
                Node.right = new BNode(Item);
                _count++;
                return true;
            }
            else
            {
                return Add_Sub(Node.right, Item);
            }
        }
        else if (_comparer.Compare(Node.item, Item) > 0)
        {
            if (Node.left == null)
            {
                Node.left = new BNode(Item);
                _count++;
                return true;
            }
            else
            {
                return Add_Sub(Node.left, Item);
            }
        }
        else
        {
            return false;
        }
    }

    public void Print()
    {
        Print(_root, 4);
    }

    public void Print(BNode p, int padding)
    {
        if (p != null)
        {
            if (p.right != null)
            {
                Print(p.right, padding + 4);
            }
            if (padding > 0)
            {
                Console.Write(" ".PadLeft(padding));
            }
            if (p.right != null)
            {
                Console.Write("/\n");
                Console.Write(" ".PadLeft(padding));
            }
            Console.Write(p.item.ToString() + "\n ");
            if (p.left != null)
            {
                Console.Write(" ".PadLeft(padding) + "\\\n");
                Print(p.left, padding + 4);
            }
        }
    }
}

where I can insert values like

BTree btr = new BTree();
btr.Add(6);
btr.Add(2);
btr.Add(3);
btr.Add(11);
btr.Add(30);
btr.Add(9);
btr.Add(13);
btr.Add(18);

I want to display my tree within my console application. I have a btr.Print(); which displays my tree from left to right (6 is the root) - but I'm not happy with it.

enter image description here

Question: Is there a better way to display this tree within a console application? Even a improvement of this Print() would help me.

Answer

Ivan Stoev picture Ivan Stoev · Apr 8, 2016

I've ended up with the following method that allows you to print arbitrary subtree:

public static class BTreePrinter
{
    class NodeInfo
    {
        public BNode Node;
        public string Text;
        public int StartPos;
        public int Size { get { return Text.Length; } }
        public int EndPos { get { return StartPos + Size; } set { StartPos = value - Size; } }
        public NodeInfo Parent, Left, Right;
    }

    public static void Print(this BNode root, string textFormat = "0", int spacing = 1, int topMargin = 2, int leftMargin = 2)
    {
        if (root == null) return;
        int rootTop = Console.CursorTop + topMargin;
        var last = new List<NodeInfo>();
        var next = root;
        for (int level = 0; next != null; level++)
        {
            var item = new NodeInfo { Node = next, Text = next.item.ToString(textFormat) };
            if (level < last.Count)
            {
                item.StartPos = last[level].EndPos + spacing;
                last[level] = item;
            }
            else
            {
                item.StartPos = leftMargin;
                last.Add(item);
            }
            if (level > 0)
            {
                item.Parent = last[level - 1];
                if (next == item.Parent.Node.left)
                {
                    item.Parent.Left = item;
                    item.EndPos = Math.Max(item.EndPos, item.Parent.StartPos - 1);
                }
                else
                {
                    item.Parent.Right = item;
                    item.StartPos = Math.Max(item.StartPos, item.Parent.EndPos + 1);
                }
            }
            next = next.left ?? next.right;
            for (; next == null; item = item.Parent)
            {
                int top = rootTop + 2 * level;
                Print(item.Text, top, item.StartPos);
                if (item.Left != null)
                {
                    Print("/", top + 1, item.Left.EndPos);
                    Print("_", top, item.Left.EndPos + 1, item.StartPos);
                }
                if (item.Right != null)
                {
                    Print("_", top, item.EndPos, item.Right.StartPos - 1);
                    Print("\\", top + 1, item.Right.StartPos - 1);
                }
                if (--level < 0) break;
                if (item == item.Parent.Left)
                {
                    item.Parent.StartPos = item.EndPos + 1;
                    next = item.Parent.Node.right;
                }
                else
                {
                    if (item.Parent.Left == null)
                        item.Parent.EndPos = item.StartPos - 1;
                    else
                        item.Parent.StartPos += (item.StartPos - 1 - item.Parent.EndPos) / 2;
                }
            }
        }
        Console.SetCursorPosition(0, rootTop + 2 * last.Count - 1);
    }

    private static void Print(string s, int top, int left, int right = -1)
    {
        Console.SetCursorPosition(left, top);
        if (right < 0) right = left + s.Length;
        while (Console.CursorLeft < right) Console.Write(s);
    }
}

As you can see, I've added some parameters that affect the formatting. By default it produces the most compact representation.

In order to play with it, I've modified the BTree class as follows:

public class BTree
{
    // ...

    public BNode Root { get { return _root; } }

    public void Print()
    {
        Root.Print();
    }
}

Using your sample data, here are some results:

btr.Root.Print();

enter image description here

btr.Root.Print(textFormat: "(0)", spacing: 2);

enter image description here

UPDATE: IMO the default format above is compact and readable, but just for fun, adjusted the algorithm to produce more "graphical" output (textFormat and spacing parameters removed):

public static class BTreePrinter
{
    class NodeInfo
    {
        public BNode Node;
        public string Text;
        public int StartPos;
        public int Size { get { return Text.Length; } }
        public int EndPos { get { return StartPos + Size; } set { StartPos = value - Size; } }
        public NodeInfo Parent, Left, Right;
    }

    public static void Print(this BNode root, int topMargin = 2, int leftMargin = 2)
    {
        if (root == null) return;
        int rootTop = Console.CursorTop + topMargin;
        var last = new List<NodeInfo>();
        var next = root;
        for (int level = 0; next != null; level++)
        {
            var item = new NodeInfo { Node = next, Text = next.item.ToString(" 0 ") };
            if (level < last.Count)
            {
                item.StartPos = last[level].EndPos + 1;
                last[level] = item;
            }
            else
            {
                item.StartPos = leftMargin;
                last.Add(item);
            }
            if (level > 0)
            {
                item.Parent = last[level - 1];
                if (next == item.Parent.Node.left)
                {
                    item.Parent.Left = item;
                    item.EndPos = Math.Max(item.EndPos, item.Parent.StartPos);
                }
                else
                {
                    item.Parent.Right = item;
                    item.StartPos = Math.Max(item.StartPos, item.Parent.EndPos);
                }
            }
            next = next.left ?? next.right;
            for (; next == null; item = item.Parent)
            {
                Print(item, rootTop + 2 * level);
                if (--level < 0) break;
                if (item == item.Parent.Left)
                {
                    item.Parent.StartPos = item.EndPos;
                    next = item.Parent.Node.right;
                }
                else
                {
                    if (item.Parent.Left == null)
                        item.Parent.EndPos = item.StartPos;
                    else
                        item.Parent.StartPos += (item.StartPos - item.Parent.EndPos) / 2;
                }
            }
        }
        Console.SetCursorPosition(0, rootTop + 2 * last.Count - 1);
    }

    private static void Print(NodeInfo item, int top)
    {
        SwapColors();
        Print(item.Text, top, item.StartPos);
        SwapColors();
        if (item.Left != null)
            PrintLink(top + 1, "┌", "┘", item.Left.StartPos + item.Left.Size / 2, item.StartPos);
        if (item.Right != null)
            PrintLink(top + 1, "└", "┐", item.EndPos - 1, item.Right.StartPos + item.Right.Size / 2);
    }

    private static void PrintLink(int top, string start, string end, int startPos, int endPos)
    {
        Print(start, top, startPos);
        Print("─", top, startPos + 1, endPos);
        Print(end, top, endPos);
    }

    private static void Print(string s, int top, int left, int right = -1)
    {
        Console.SetCursorPosition(left, top);
        if (right < 0) right = left + s.Length;
        while (Console.CursorLeft < right) Console.Write(s);
    }

    private static void SwapColors()
    {
        var color = Console.ForegroundColor;
        Console.ForegroundColor = Console.BackgroundColor;
        Console.BackgroundColor = color;
    }
}

and the result is:

enter image description here