## Indexed Reference

### How Indexed Reference Works

Object indexed references are in three forms — parentheses, braces, and dot-name:

A(I)
A{I}
A.name

Each of these statements results in a call by MATLAB® to the subsref of class A, or a call to the built-in subsasgn function if the class of A does not implement a subsasgn method.

MATLAB passes two arguments to subsref and requires subsref to return the result of the indexed reference:

B = subsref(A,S)

The first argument is the object being referenced, A. The second argument, S, is a substruct with two fields:

• S.type is a char vector containing '()', '{}', or '.' specifying the indexing type used.

• S.subs is a cell array or char vector containing the actual index or name. A colon used as an index is passed in the cell array as the colon character ':'. Ranges specified using a colon (e.g., 2:5) are expanded to 2 3 4 5.

For example, the expression:

A(1:4,:)

Causes MATLAB to call subsref(A,S), where S is a 1-by-1 structure with a two-element cell array. The cell array contains the numbers 1, 2, 3, 4, and the colon character :.

S.type = '()'
S.subs = {1:4,':'}

Returning the contents of each cell of S.subs gives the index values for the first dimension and a char vector ':' for the second dimension:

S.subs{:}
ans =

1     2     3     4

ans =

:

The default subsref returns all array elements in rows 1 through 4 and all the columns in the array.

Similarly, this expression:

A{1:4}

Uses a cell array containing the numbers 1, 2, 3, 4.

S.type ='{}'
S.subs = {1:4}

The default subsref returns the contents of all cell array elements in rows 1 through 4 and all the columns in the array.

This expression:

A.Name

Calls subsref(A,S), where the struct S has these values:

S.type = '.'
S.subs = 'Name'

### Compound Indexed References

These simple calls are combined for more complicated indexing expressions. In such cases, length(S) is the number of indexing levels. For example,

A(1,2).PropertyName(1:4)

calls subsref(A,S), where S is a 3-by-1 array of structs with the values:

S(1).type = '()'    S(2).type = '.'              S(3).type = '()'
S(1).subs = {1,2}   S(2).subs = 'PropertyName'   S(3).subs = {1:4}