MOD Modulus Operation

Section: Mathematical Functions

Usage

Computes the modulus of an array. The syntax for its use is 
   y = mod(x,n)

where x is matrix, and n is the base of the modulus. The effect of the mod operator is to add or subtract multiples of n to the vector x so that each element x_i is between 0 and n (strictly). Note that n does not have to be an integer. Also, n can either be a scalar (same base for all elements of x), or a vector (different base for each element of x). Note that the following are defined behaviors:

  1. mod(x,0) = x@
  2. mod(x,x) = 0@
  3. mod(x,n)@ has the same sign as n for all other cases.

Example

The following examples show some uses of mod arrays. 
--> mod(18,12)

ans = 
 6 

--> mod(6,5)

ans = 
 1 

--> mod(2*pi,pi)

ans = 
 0

Here is an example of using mod to determine if integers are even or odd: 

--> mod([1,3,5,2],2)

ans = 
 1 1 1 0

Here we use the second form of mod, with each element using a separate base. 

--> mod([9 3 2 0],[1 0 2 2])

ans = 
 0 3 0 0