Section: Mathematical Functions
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:
\begin{enumerate}
\item mod(x,0) = x
@
\item mod(x,x) = 0
@
\item mod(x,n)
@ has the same sign as n
for all other cases.
\end{enumerate}
mod
arrays.
--> mod(18,12) ans = 6 --> mod(6,5) ans = 1 --> mod(2*pi,pi) ans = 0Here is an example of using
mod
to determine if integers are even
or odd:
--> mod([1,3,5,2],2) ans = 1 1 1 0Here 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