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c++recursionbinary-treebinary-search-treenon-recursive

How to make this function non-recursive?


Hello it was suggested to me that I learn to write things non-recursively to understand what is going on much more clearly in the program. It is a binary search program that reads a .dat file of a list of presidents and sorts them alphabetically. Here is my code that I want to make non-recursive:

BstNode* Insert(BstNode* root, string data) {

if (root == NULL) {
    root = GetNewNode(data);
}
else if (data <= root->data) {
    root->left = Insert(root->left, data);
}
else {
    root->right = Insert(root->right, data);
}
return root;

}

I want to understand what recursion is and how to look at something recursive and make it non recursive. I'm having trouble understanding these concepts. I'm not sure if I would need to adjust the rest of the binary search tree if I made that portion non-recursive.

Here's the full program in case you need to see what else is going on:

       #include <stdio.h>
       #include <iostream>
       #include <fstream>
       #include <string>
       using namespace std;

struct BstNode {

    string data;
    BstNode* left;
    BstNode* right;

};

BstNode* GetNewNode(string data) {

    BstNode* newNode = new BstNode();
    newNode->data = data;
    newNode->left = newNode->right = NULL;
    return newNode;

}



BstNode* Insert(BstNode* root, string data) {

    if (root == NULL) {
        root = GetNewNode(data);
    }
    else if (data <= root->data) {
        root->left = Insert(root->left, data);
    }
    else {
        root->right = Insert(root->right, data);
    }
    return root;

}

bool Search(BstNode* root, string data) {

    if (root == NULL) return false;
    else if (root->data == data) return true;
    else if (data <= root->data) return Search(root->left, data);
    else return Search(root->right, data);

}

void Print(BstNode*x) {

    if (!x) return;
    Print(x->left);
    cout << ' ' << x->data << endl;
    Print(x->right);
}

int main() {

    BstNode* root = NULL; //creating an empty tree
    //root = Insert(root, "adam");  test
    //root = Insert(root, "greg");  test
    //root = Insert(root, "tom");   test
    //root = Insert(root, "bill");  test
    //root = Insert(root, "sarah"); test
    //root = Insert(root, "john");  test

    ifstream fin;
    fin.open("prez.dat");
    string currentprez;
    string input = "";

    while (!fin.eof()) {

        fin >> currentprez;
        root = Insert(root, currentprez);
    }

    for (;;) {
            string input = "";
            cout << "Would you like to 'search', 'insert', 'print' or 'quit'?\n";
            cin >> input;

            //if user searches
            if (input == "search" || input == "Search") {

                string searchstr = "";
                cout << "Enter string to be searched: \n";
                cin >> searchstr;
                if (Search(root, searchstr) == true) cout << searchstr + " was Found\n";
                else cout << "Not Found\n";

            } 
            //if user inserts
            else if (input == "insert" || input == "Insert") {

                string insertstr = "";
                cout << "Enter string to be inputted: \n";
                cin >> insertstr;
                if (Search(root, insertstr) == true) cout << insertstr + " already exists\n";
                else root = Insert(root, insertstr);

            }

            //if user prints
            else if (input == "print" || input == "Print") Print(root);
            //if user quits
            else if (input == "quit" || input == "Quit") return(0);
            //if anything else
            else cout << "Invalid input\n";


        }


    }

Solution

  • Tree algorithms like this are actually very well suited for recursion, but a way to do it without recursion could be this:

    BstNode* Insert(BstNode* root, string data) {
        if (root == null) {
            return GetNewNode(data);
        }    
    
        BstNode* prev = null;
        BstNode* pos = root;
        while (pos != null) {
            prev = pos;
            if (data <= pos->data) {
                pos = pos->left;
            }
            else {
                pos = pos->right;
            }
       }
       if ( data <= prev -> data) {
           prev -> left = GetNewNode(data);
       }else {
           prev -> right = GetNewNode(data);
       }
    
       return root;
    }