REM Remainder After Division
Section: Mathematical Functions
Usage
Computes the remainder after division of an array. The syntax for its use isy = rem(x,n)
where x
is matrix, and n
is the base of the modulus. The
effect of the rem
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:

rem(x,0) = nan
@ 
rem(x,x) = 0
@ for nonzerox

rem(x,n)
@ has the same sign asx
for all other cases.
rem
and mod
return the same value if x
and n
are of the same sign. But differ by n
if x
and y
have
different signs.
Example
The following examples show some uses ofrem
arrays.
> rem(18,12) ans = 6 > rem(6,5) ans = 1 > rem(2*pi,pi) ans = 0
Here is an example of using rem
to determine if integers are even
or odd:
> rem([1,3,5,2],2) ans = 1 1 1 0
Here we use the second form of rem
, with each element using a
separate base.
> rem([9 3 2 0],[1 0 2 2]) ans = 0 NaN 0 0