To see how MATLAB returns variables from subroutines you can run the following code:
function x = junkdemo(n)
x = rand(n,n)
return
end
Then at the command line:
>> format debug
>> y = junkdemo(5)
x =
Structure address = 7a89ed0
m = 5
n = 5
pr = 240cdb70
pi = 0
0.8147 0.0975 0.1576 0.1419 0.6557
0.9058 0.2785 0.9706 0.4218 0.0357
0.1270 0.5469 0.9572 0.9157 0.8491
0.9134 0.9575 0.4854 0.7922 0.9340
0.6324 0.9649 0.8003 0.9595 0.6787
y =
Structure address = 7a89648
m = 5
n = 5
pr = 240cdb70
pi = 0
0.8147 0.0975 0.1576 0.1419 0.6557
0.9058 0.2785 0.9706 0.4218 0.0357
0.1270 0.5469 0.9572 0.9157 0.8491
0.9134 0.9575 0.4854 0.7922 0.9340
0.6324 0.9649 0.8003 0.9595 0.6787
You can see that MATLAB created x inside the junkdemo function. This x variable has a structure address of 7a89ed0 and a data address of 240cdb70. A shared data copy of x is what got returned to the caller and stored in y. The y variable has a structure address of 7a89648 (different from x) but the data address of y is the same as x, namely 240cdb70. I.e., it is only a new variable header that gets created in the return process (containing variable class, size, etc). The data itself is not copied ... only the pointer.
This is true on input as well as output, btw. The act of passing variables in or out of a function does not, in and of itself, cause the data to be copied. It is only when you change an element of a variable that is sharing data pointers with another variable that will cause MATLAB to make a deep data copy.
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