How to Create a Recursive Function in C++

Creating a Recursive Function

1. 
   Write a basic program. A simple program that uses only a main function with an uninitialized int variable. In particular, this program will ask the user to input an integer number and store it in the uninitialized variable. Here's an example of such a program:

   | int main() { int userNum; cout << "Enter a number: "; cin >> userNum; cout << fact(userNum) << endl;   //Call to recursive function  return 0; } 

2. 
   Create an int function that has one formal parameter. This function will take as input the user-entered variable from the main function in the basic program.
3. 
   Write code in the function body that uses an if/else structure. Here is where things will get tricky as you implement the recursive algorithm in the function. You'll use recursion here to help you find the factorial of a number. The factorial of a number is the product of all positive integers less than or equal to it. For example, the factorial of 4 is: 4 x 3 x 2 x 1 = 24.

   1. The if statement will return the final solution to the problem (and is usually but not always 1 or 0) and terminate the call to the function. This is called the base case.
   2. The else structure can be used to call the function itself using the parameter thus creating the recursion. Note, however, that the parameter should be modified in this recall so it begins approaching the value of the base case in the if structure. Otherwise this will create an infinite recursion.
4. 
   Copy an example. Here is an example recursive function that expands on the function call in the basic program code:

   | int fact(int num)                                 //Line 1 {                                                   //Line 2 if (num == 0)                                    //Line 3 return 1;                                //Line 4 else                                             //Line 5 return num*fact(num - 1);         //Line 6 }   

   1. As mentioned above, this particular function allows you to find the factorial of an integer. Note the base case in Lines 3 and 4 returns 1 if the user value of num is 0. The general case in Line 6 calls the function again recursively but it reduces the parameter num by 1 to approach the base case.
5. 
   Do more example problems with recursion. Programming concepts, like math, require practice in order for one to grasp the concept fully. The only way to fully understand recursion is by practicing more problems that implement it. As mentioned before, finding different Fibonacci numbers is a great place to start. Try constructing a recursive algorithm for this.