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rem

Remainder after division

Syntax

Description

example

r = rem(a,b) returns the remainder after division of a by b, where a is the dividend and b is the divisor. This operation is conceptually equal to r = a - b.*fix(a./b), which uses different rounding than the mod function. The rem function follows the convention that rem(a,0) is NaN.

Examples

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Remainder After Division of Scalar

Compute the remainder after dividing 5 into 23.

a = 23;
b = 5;
r = rem(a,b)
r =

     3

Remainder After Division of Vector

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     2     0     1     2

Remainder After Division for Positive and Negative Values

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    -1     1     0

Remainder After Division for Floating-Point Values

Find the remainder after division for several angles using a divisor of 2*pi. When possible, rem attempts to produce exact integer results by comepensating 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 =

         0    3.5000    5.9000    6.2000    2.7168         0

Input Arguments

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a — Dividendscalar | vector | matrix | multidimensional array

Dividend, specified as a scalar, vector, matrix, or multidimensional array. a must be a real-valued array of any numerical type. Inputs a and b must be the same size unless one is a scalar. A scalar value expands to be the same size as the other array.

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 | duration

b — Divisorscalar | vector | matrix | multidimensional array

Divisor, specified as a scalar, vector, matrix, or multidimensional array. b must be a real-valued array of any numerical type. Inputs a and b must be the same size unless one is a scalar. A scalar value expands to be the same size as the other array.

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 | duration

More About

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Differences Between mod and rem

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).

See Also

Introduced before R2006a

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