# floor

Round toward negative infinity

## Description

example

Y = floor(X) rounds each element of X to the nearest integer less than or equal to that element.

example

Y = floor(t) rounds each element of the duration array t to the nearest number of seconds less than or equal to that element.

example

Y = floor(t,unit) rounds each element of t to the nearest number of the specified unit of time less than or equal to that element.

## Examples

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### Round Matrix Elements Toward Negative Infinity

X = [-1.9  -0.2  3.4;  5.6  7.0  2.4+3.6i];
Y = floor(X)
Y =

-2.0000 + 0.0000i  -1.0000 + 0.0000i   3.0000 + 0.0000i
5.0000 + 0.0000i   7.0000 + 0.0000i   2.0000 + 3.0000i

### Round Duration Values Toward Negative Infinity

Round each value in a duration array to the nearest number of seconds less than or equal to that value.

t = hours(8) + minutes(29:31) + seconds(1.23);
t.Format = 'hh:mm:ss.SS'
t =

08:29:01.23   08:30:01.23   08:31:01.23

Y1 = floor(t)
Y1 =

08:29:01.00   08:30:01.00   08:31:01.00

Round each value in t to the nearest number of hours less than or equal to that value.

Y2 = floor(t,'hours')
Y2 =

08:00:00.00   08:00:00.00   08:00:00.00

## Input Arguments

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### X — Input arrayscalar | vector | matrix | multidimensional array

Input array, specified as a scalar, vector, matrix, or multidimensional array. For complex X, floor treats the real and imaginary parts independently.

floor converts logical and char elements of X into double values.

Data Types: single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64 | char | logical
Complex Number Support: Yes

### t — Input durationduration array

Input duration, specified as a duration array.

### unit — Unit of time'seconds' (default) | 'minutes' | 'hours' | 'days'

Unit of time, specified as 'seconds', 'minutes', 'hours', or 'days'.