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hdl.treesum

Sum of array elements using tree architecture

    Description

    example

    S = hdl.treesum(A) returns the sum of the elements of A along the first array dimension whose size does not equal 1.

    • If A is a vector, then hdl.treesum(A) returns the sum of the elements.

    • If A is a matrix, then hdl.treesum(A) returns a row vector containing the sum of each column.

    The function hdl.treesum uses a tree architecture to sum elements. The tree architecture summation yields a shorter critical path, which leads to reduced latency when generating HDL code from a MATLAB Function block. When generating HDL code, the function hdl.treesum reduces the amount of matching delays required to sum elements.

    example

    S = hdl.treesum(A, 'all') computes the sum of all elements of A.

    example

    S = hdl.treesum(A, dim) returns the sum along dimension dim. For example, if A is a matrix, then hdl.treesum(A,2) is a column vector containing the sum of each row.

    Examples

    Sum of Vector Elements

    Create a vector and compute the sum of its elements.

    A = 1:10;
    S = hdl.treesum(A)
    S = 55

    Sum of Matrix Elements

    Create a matrix and compute the sum of its elements.

    A = [1 3 2; 4 2 5; 6 1 4]
    A = 3×3
    
         1     3     2
         4     2     5
         6     1     4
    
    
    S = hdl.treesum(A,'all')
    S =
        28

    Sum of Matrix Columns

    Create a matrix and compute the sum of the elements in each column.

    A = [1 3 2; 4 2 5; 6 1 4]
    A = 3×3
    
         1     3     2
         4     2     5
         6     1     4
    
    
    S = hdl.treesum(A)
    S = 1×3
    
        11     6    11
    
    

    Sum of Matrix Rows

    Create a matrix and compute the sum of the elements in each row.

    A = [1 3 2; 4 2 5; 6 1 4]
    A = 3×3
    
         1     3     2
         4     2     5
         6     1     4
    
    
    S = hdl.treesum(A,2)
    S = 3×1
    
         6
        11
        11
    
    

    Input Arguments

    collapse all

    Input array, specified as a scalar, vector, or 2-D matrix.

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

    Dimension to operate along, specified as a positive integer scalar. If no value is specified, then the default is the first array dimension whose size does not equal 1.

    Dimension dim indicates the dimension whose length reduces to 1. The size(S,dim) is 1, while the sizes of the other dimensions remain the same.

    Consider a two-dimensional input array, A:

    • sum(A,1) operates on successive elements in the columns of A and returns a row vector of the sums of each column.

    • sum(A,2) operates on successive elements in the rows of A and returns a column vector of the sums of each row.

    Data Types: double | single | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64

    Output Arguments

    collapse all

    Sum array, returned as a scalar, vector, or matrix.

    The data type of S is the same data type as that of input A.

    Extended Capabilities

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

    Version History

    Introduced in R2022a

    See Also

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