rem
Remainder after division
Syntax
Description
Examples
Find the remainder after division for a vector of integers and the divisor 3
.
a = 1:5; b = 3; r = rem(a,b)
r = 1×5
1 2 0 1 2
Find the remainder after division for a set of integers including both positive and negative values. Note that nonzero results have the same sign as the dividend.
a = [-4 -1 7 9]; b = 3; r = rem(a,b)
r = 1×4
-1 -1 1 0
Find the remainder after division for several angles using a divisor of 2*pi
. When possible, rem
attempts to produce exact integer results by compensating for floating-point round-off effects.
theta = [0.0 3.5 5.9 6.2 9.0 4*pi]; b = 2*pi; r = rem(theta,b)
r = 1×6
0 3.5000 5.9000 6.2000 2.7168 0
Input Arguments
Dividend, specified as a scalar, vector, matrix, multidimensional array, table, or timetable.
a
must be a real-valued array of any numerical type.
Inputs a
and b
must either be the same
size or have sizes that are compatible (for example, a
is
an M
-by-N
matrix and
b
is a scalar or
1
-by-N
row vector). For more
information, see Compatible Array Sizes for Basic Operations.
If a
is a duration
array and
b
is a numeric array, then the values in
b
are treated as numbers of 24-hour days.
If one input has an integer data type, then the other input
must be of the same integer data type or be a scalar double
.
Data Types: single
| double
| int8
| int16
| int32
| int64
| uint8
| uint16
| uint32
| uint64
| logical
| duration
| char
| table
| timetable
Divisor, specified as a scalar, vector, matrix, multidimensional array, table, or timetable.
b
must be a real-valued array of any numerical type.
Inputs a
and b
must either be the same
size or have sizes that are compatible (for example, a
is
an M
-by-N
matrix and
b
is a scalar or
1
-by-N
row vector). For more
information, see Compatible Array Sizes for Basic Operations.
If b
is a duration
array and
a
is a numeric array, then the values in
a
are treated as numbers of 24-hour days.
If one input has an integer data type, then the other input
must be of the same integer data type or be a scalar double
.
Data Types: single
| double
| int8
| int16
| int32
| int64
| uint8
| uint16
| uint32
| uint64
| logical
| duration
| char
| table
| timetable
More About
The concept of remainder after division is
not uniquely defined, and the two functions mod
and rem
each
compute a different variation. The mod
function
produces a result that is either zero or has the same sign as the
divisor. The rem
function produces a result that
is either zero or has the same sign as the dividend.
Another difference is the convention when the divisor is zero.
The mod
function follows the convention that mod(a,0)
returns a
,
whereas the rem
function follows the convention
that rem(a,0)
returns NaN
.
Both variants have their uses. For example, in signal processing,
the mod
function is useful in the context of
periodic signals because its output is periodic (with period equal
to the divisor).
Extended Capabilities
The
rem
function fully supports tall arrays. For more information,
see Tall Arrays.
Usage notes and limitations:
Generated code performs the arithmetic using the output class. Results might not match MATLAB® due to differences in rounding errors.
If one of the inputs has type
int64
oruint64
, then both inputs must have the same type.
This function fully supports thread-based environments. For more information, see Run MATLAB Functions in Thread-Based Environment.
The rem
function
fully supports GPU arrays. To run the function on a GPU, specify the input data as a gpuArray
(Parallel Computing Toolbox). For more information, see Run MATLAB Functions on a GPU (Parallel Computing Toolbox).
This function fully supports distributed arrays. For more information, see Run MATLAB Functions with Distributed Arrays (Parallel Computing Toolbox).
Version History
Introduced before R2006aThe rem
function can calculate on all variables within a table or
timetable without indexing to access those variables. All variables must have data types
that support the calculation. For more information, see Direct Calculations on Tables and Timetables.
See Also
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