Recursion What is recursion?
Recursion
Week 10
!
Gaddis:19.1-19.5
! !
CS 5301 Spring 2014
!
Jill Seaman
!1
How can a function call itself?
! Infinite Recursion:
This is a recursive function.!
This is a recursive function.!
This is a recursive function.!
This is a recursive function.!
This is a recursive function.! This is a recursive function.! This is a recursive function.!
This is a recursive function.!
This is a recursive function.!
This is a recursive function.!
This is a recursive function.!
This is a recursive function.!
This is a recursive function.!
...
!3
What is recursion?
! Generally, when something contains a reference to itself
! Math: defining a function in terms of itself
! Computer science: when a function calls itself:
void message() {! cout 0) {! cout 0
then then
!
n! = 1! n! = 1 x 2 x 3 x ... x n
! What is the base case?
- n=0 (the result is 1)
! Recursive case: If we assume (n-1)! can be computed, how can we get n! from that?
- n! = n * (n-1)!
!8
Recursive function example factorial
int factorial(int n) {! if (n==0)! return 1;! else! return n * factorial(n-1);!
}! ! ! int main() {!
int number;! cout > number;! cout ................
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