C语言的递归-Recursion

C语言的递归-Recursion

Recursion occurs when a function contains within it a call to itself. Recursion can result in very neat, elegant code that is intuitive to follow. It can also result in a very large amount of memory being used if the recursion gets too deep.

Common examples of where recursion is used :

• Walking recursive data structures such as linked lists, binary trees, etc.
• Exploring possible scenarios in games such as chess

Recursion always consists of two main parts. 

1. A terminating case that indicates when the recursion will finish and 
2. a call to itself that must make progress towards the terminating case.
   

For example, this function will perform multiplication by recursively adding :

#include <stdio.h>
unsigned int multiply(unsigned int x, unsigned int y)
{
    if (x == 1)
    {
        /* Terminating case */
        return y;
    }
    else if (x > 1)
    {
        /* Recursive step */
        return y + multiply(x-1, y);
    }
    /* Catch scenario when x is zero */
    return 0;
}

int main() {
    printf("3 times 5 is %d", multiply(3, 5));
    return 0;
}

Exercise

Define a new function called factorial() that will compute the factorial by recursive multiplication (5! = 5 x 4 x 3 x 2 x 1).

#include <stdio.h>
int factorial(int number);
int main() {
    /* testing code */
    printf("1! = %i\n", factorial(1));
    printf("3! = %i\n", factorial(3));
    printf("5! = %i\n", factorial(5));
}
int factorial(int number){
    int f = number;
    if(number > 1){
        f *= factorial(number-1);
    }
return f;
}