This example shows how to customize brace indexing in the ArrayofArrays class. ArrayOfArrays implements a 1-by-n array of arrays. The contained arrays can be of different classes, shapes, and sizes. The class inherits from both matlab.mixin.indexing.RedefinesBrace and matlab.mixin.indexing.RedefinesParen. The brace indexing customization handles references and assignments to the contained arrays:
- braceReference: Handles brace references into the- Arraysproperty of the class. For example, the syntax- instance{- idx} accesses the contained array at index- idxin- Arrays.
 
- braceAssign: Handles brace assignments into the- Arraysproperty. For example, the syntax- instance{- idx} =- A assigns the value of- Ato the contained array at index- idxin- Arrays. If- idxexceeds the current number of elements in- Arrays,- braceAssigncreates the element and assigns- Ato it.
 
- braceListLength: Determines the number of values to return from brace indexing expressions that return a comma-separated list.
 
ArrayOfArrays also inherits from RedefinesParen to support parentheses indexing in a way similar to cell arrays. For example, the syntax instance1(idx1) = instance2(idx2) assigns the contained array in instance2 at idx2 to idx1 in instance1. To see the full list of abstract methods that must be implemented when customizing parentheses indexing, see matlab.mixin.indexing.RedefinesParen.
The class definition of ArrayOfArrays also includes two error-handling functions:
- ErrorForUnsupportedIndexing: Prevents any additional indexing after parentheses indexing in reference and assignment operations.
 
- ErrorForUnexpectedRightHandSide: Restricts parentheses assignments to cases when the right-hand side of the statement is an- ArrayofArraysinstance.
 
Code for ArrayOfArrays Class and Error-Handling Functions
classdef ArrayOfArrays < matlab.mixin.indexing.RedefinesParen & ...
        matlab.mixin.indexing.RedefinesBrace
   
    properties (Access=private)
        Arrays (1,:) cell
    end
    methods (Access=protected)
        function varargout = braceReference(obj,indexOp)
            [varargout{1:nargout}] = obj.Arrays.(indexOp);
        end
        function obj = braceAssign(obj,indexOp,varargin)
            if isscalar(indexOp)
                [obj.Arrays.(indexOp)] = varargin{:};
                return;
            end
            [obj.Arrays.(indexOp)] = varargin{:};
        end
        function n = braceListLength(obj,indexOp,indexContext)
            n = listLength(obj.Arrays,indexOp,indexContext);
        end
        function out = parenReference(obj,indexOp)
            ErrorForUnsupportedIndexing(indexOp);
            out = obj;
            out.Arrays = obj.Arrays.(indexOp);
        end
        function obj = parenAssign(obj,indexOp,in)
            ErrorForUnsupportedIndexing(indexOp);
            ErrorForUnexpectedRightHandSide(in);
            obj.Arrays.(indexOp) = in.Arrays;
        end
        function n = parenListLength(~,~,~)
            n = 1;
        end
        function obj = parenDelete(obj,indexOp)
            obj.Arrays.(indexOp) = [];        
        end
    end
    methods (Access=public)
        function obj = ArrayOfArrays(varargin)
            if nargin > 0
                obj.Arrays = varargin;
            else
                obj.Arrays = [];
            end
        end
        function out = cat(~,varargin)
            out = ArrayOfArrays;
            for ix = 1:length(varargin)
                tmp = varargin{ix};
                if isa(tmp,'ArrayOfArrays')
                    out.Arrays = [out.Arrays,tmp.Arrays];
                else
                    out.Arrays{end+1} = tmp;
                end
            end
        end
        function varargout = size(obj,varargin)
            [varargout{1:nargout}] = size(obj.Arrays,varargin{:});
        end
    end
    
    methods (Static)
        function out = empty()
            out = ArrayOfArrays();
        end
    end
end
function ErrorForUnsupportedIndexing(indexOp)
    if ~isscalar(indexOp)
        error('Indexing after parentheses indexing is not supported.');
    end
end
function ErrorForUnexpectedRightHandSide(val)
    if ~isa(val,'ArrayOfArrays')
        error(['Parentheses assignment is only supported when the ' ...
            'right-hand side is an ArrayOfArrays.']);
    end
end
Use an ArrayOfArrays Instance
Create an ArrayOfArrays instance with two contained arrays, a 2-element vector and a 3-by-3 matrix.
Use brace indexing to view the second contained array. The braceReference method accepts an IndexingOperation object that identifies what field to access.
ans = 3×3
     2     0     0
     0     2     0
     0     0     2
Use brace and parentheses indexing to extract the upper-right corner of the matrix in the second array. The class calls the braceReference method to access the contained array at index 2 and then forwards the parentheses indexing to the matrix itself.
Add a third element to the instance using brace assignment. The braceAssign method accepts an IndexingOperation object, which describes the type of indexing operation (Brace) and the indices referenced, and a second argument that contains the value to be assigned, in this case a cell array.  Verify the addition.
ans=1×2 cell array
    {[1 2 3 4 5]}    {[6 7 8 9 10]}
Assign multiple new values to myArrays{3}. Because the assignment involves multiple values, MATLAB® calls the braceListLength method to determine how many elements need to be assigned before calling braceAssign to handle the assignment operation.
ans=1×2 cell array
    {[5]}    {[5]}
The customized parentheses indexing implemented by the class enables parentheses references and assignment in a similar way to how this indexing works in cell arrays. Assign the contained arrays at indices 1 and 2 of myArrays to a new ArrayOfArrays instance, x. The class calls parenReference to perform the operation. Use brace indexing to verify the contents of x.
ans = 3×3
     2     0     0
     0     2     0
     0     0     2