C++ Beginner Tutorial: Functions IV Recursion. What is recursion? A property of function to be able...

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C++ Beginner Tutorial: Functions IV Recursion

Transcript of C++ Beginner Tutorial: Functions IV Recursion. What is recursion? A property of function to be able...

Page 1: C++ Beginner Tutorial: Functions IV Recursion. What is recursion? A property of function to be able to call itself… Get factorial of a given number: Factorial.

C++ Beginner Tutorial:Functions IV

Recursion

Page 2: C++ Beginner Tutorial: Functions IV Recursion. What is recursion? A property of function to be able to call itself… Get factorial of a given number: Factorial.

What is recursion?

• A property of function to be able to call itself…

• Get factorial of a given number:• Factorial of n = 1*2*3*…..*(n-1)*n• Factorial of 5 = 1*2*3*4*5=120

• Generate Fibonacci sequence• 1, 1, 2, 3, 5, 8, 13, 21…………………….

Page 3: C++ Beginner Tutorial: Functions IV Recursion. What is recursion? A property of function to be able to call itself… Get factorial of a given number: Factorial.

How to write a recursive function

• Create a function

• Make a call to itself

• Make sure you have a exit case • We don’t want any infinite loop here

Page 4: C++ Beginner Tutorial: Functions IV Recursion. What is recursion? A property of function to be able to call itself… Get factorial of a given number: Factorial.

Code Examples

1. Factorial Code – Simple• Explanation

2. Fibonacci Code – Complex• Explanation

Page 5: C++ Beginner Tutorial: Functions IV Recursion. What is recursion? A property of function to be able to call itself… Get factorial of a given number: Factorial.

Factorial Explanation with n=5

120

Return 24*5=120

Return 6*4=24 Return 2*3=6

Return 1*2=2

Return 1

Page 6: C++ Beginner Tutorial: Functions IV Recursion. What is recursion? A property of function to be able to call itself… Get factorial of a given number: Factorial.

Fibonacci example: n=5

Return 1

Return 1

Return 1Return 1+1=2Return 1+2=3

Return 1+1=2

Return 3+2=5

5

Page 7: C++ Beginner Tutorial: Functions IV Recursion. What is recursion? A property of function to be able to call itself… Get factorial of a given number: Factorial.

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