MOD Modulus Operation
Section: Mathematical Functions
Usage
Computes the modulus of an array. The syntax for its use isy = 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:

mod(x,0) = x
@ 
mod(x,x) = 0
@ 
mod(x,n)
@ has the same sign asn
for all other cases.
Example
The following examples show some uses ofmod
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