Main Content

le, <=

Determine less than or equal to

Description

A <= B returns a logical array or a table of logical values with elements set to logical 1 (true) where A is less than or equal to B; otherwise, the element is logical 0 (false). The test compares only the real part of numeric arrays. le returns logical 0 (false) where A or B have NaN or undefined categorical elements.

example

le(A,B) is an alternate way to execute A <= B, but is rarely used. It enables operator overloading for classes.

Examples

collapse all

Find which vector elements are less than or equal to a given value.

Create a numeric vector.

A = [1 12 18 7 9 11 2 15];

Test the vector for elements that are less than or equal to 12.

A <= 12
ans = 1x8 logical array

   1   1   0   1   1   1   1   0

The result is a vector with values of logical 1 (true) where the elements of A satisfy the expression.

Use the vector of logical values as an index to view the values in A that are less than or equal to 12.

A(A <= 12)
ans = 1×6

     1    12     7     9    11     2

The result is a subset of the elements in A.

Create a matrix.

A = magic(4)
A = 4×4

    16     2     3    13
     5    11    10     8
     9     7     6    12
     4    14    15     1

Replace all values less than or equal to 9 with the value 10.

A(A <= 9) = 10
A = 4×4

    16    10    10    13
    10    11    10    10
    10    10    10    12
    10    14    15    10

The result is a new matrix whose smallest element is 10.

Create an ordinal categorical array.

A = categorical({'large' 'medium' 'small'; 'medium' ...
'small' 'large'},{'small' 'medium' 'large'},'Ordinal',1)
A = 2x3 categorical
     large       medium      small 
     medium      small       large 

The array has three categories: 'small', 'medium', and 'large'.

Find all values less than or equal to the category 'medium'.

A <= 'medium'
ans = 2x3 logical array

   0   1   1
   1   1   0

A value of logical 1 (true) indicates a value less than or equal to the category 'medium'.

Compare the rows of A.

A(1,:) <= A(2,:)
ans = 1x3 logical array

   0   0   1

The function returns logical 1 (true) where the first row has a category value less than or equal to the second row.

Create a vector of complex numbers.

A = [1+i 2-2i 1+3i 1-2i 5-i];

Find the values that are less than or equal to 3.

A(A <= 3)
ans = 1×4 complex

   1.0000 + 1.0000i   2.0000 - 2.0000i   1.0000 + 3.0000i   1.0000 - 2.0000i

le compares only the real part of the elements in A.

Use abs to find which elements are within a radius of 3 from the origin.

A(abs(A) <= 3)
ans = 1×3 complex

   1.0000 + 1.0000i   2.0000 - 2.0000i   1.0000 - 2.0000i

The result has one less element. The element 1.0000 + 3.0000i is not within a radius of 3 from the origin.

Create a duration array.

d = hours(21:25) + minutes(75)
d = 1x5 duration
   22.25 hr   23.25 hr   24.25 hr   25.25 hr   26.25 hr

Test the array for elements that are less than or equal to one standard day.

d <= 1
ans = 1x5 logical array

   1   1   0   0   0

Since R2023a

Create two tables and compare them. The row names (if present in both) and variable names must be the same, but do not need to be in the same orders. Rows and variables of the output are in the same orders as the first input.

A = table([1;2],[3;4],VariableNames=["V1","V2"],RowNames=["R1","R2"])
A=2×2 table
          V1    V2
          __    __

    R1    1     3 
    R2    2     4 

B = table([4;2],[3;1],VariableNames=["V2","V1"],RowNames=["R2","R1"])
B=2×2 table
          V2    V1
          __    __

    R2    4     3 
    R1    2     1 

A <= B
ans=2×2 table
           V1       V2  
          _____    _____

    R1    true     false
    R2    true     true 

Input Arguments

collapse all

Operands, specified as scalars, vectors, matrices, multidimensional arrays, tables, or timetables. 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.

You can compare numeric inputs of any type, and the comparison does not suffer loss of precision due to type conversion.

  • If one input is an ordinal categorical array, the other input can be an ordinal categorical array, a cell array of character vectors, or a single character vector. A single character vector expands into a cell array of character vectors of the same size as the other input. If both inputs are ordinal categorical arrays, they must have the same sets of categories, including their order. See Compare Categorical Array Elements for more details.

  • If one input is a datetime array, the other input can be a datetime array, a character vector, or a cell array of character vectors.

  • If one input is a duration array, the other input can be a duration array or a numeric array. The operator treats each numeric value as a number of standard 24-hour days.

  • If one input is a string array, the other input can be a string array, a character vector, or a cell array of character vectors. The corresponding elements of A and B are compared lexicographically.

Inputs that are tables or timetables must meet the following conditions: (since R2023a)

  • If an input is a table or timetable, then all its variables must have data types that support the operation.

  • If only one input is a table or timetable, then the other input must be a numeric or logical array.

  • If both inputs are tables or timetables, then:

    • Both inputs must have the same size, or one of them must be a one-row table.

    • Both inputs must have variables with the same names. However, the variables in each input can be in a different order.

    • If both inputs are tables and they both have row names, then their row names must be the same. However, the row names in each input can be in a different order.

    • If both inputs are timetables, then their row times must be the same. However, the row times in each input can be in a different order.

Data Types: single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64 | logical | char | string | categorical | datetime | duration | table | timetable
Complex Number Support: Yes

Tips

  • Some floating-point numbers cannot be represented exactly in binary form. This leads to small differences in results that the <= operator reflects. For more information, see Floating-Point Numbers.

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.

GPU Code Generation
Generate CUDA® code for NVIDIA® GPUs using GPU Coder™.

HDL Code Generation
Generate VHDL, Verilog and SystemVerilog code for FPGA and ASIC designs using HDL Coder™.

Version History

Introduced before R2006a

expand all