3.2.3 Global and Local Variables

If a variable in a function is not defined (and is not among the input parameters) then it takes the value of a variable having the same name in the calling environment. This variable however remains local in the sense that modifying it within the function does not alter the variable in the calling environment unless resume is used (see below). Functions can be invoked with less input or output parameters. Here is an example:
function [y1,y2]=f(x1,x2)
  y1=x1+x2
  y2=x1-x2
endfunction
-->[y1,y2]=f(1,1)
 y2  =
    0.  
 y1  =
    2.  

-->f(1,1)
 ans  =
    2.

-->f(1)
y1=x1+x2;
        !--error     4 
undefined variable : x2                      
at line       2 of function f

-->x2=1;

-->[y1,y2]=f(1)
 y2  =
    0.  
 y1  =
    2.  
 
-->f(1)
 ans  =
 
    2.

Note that it is not possible to call a function if one of the parameter of the calling sequence is not defined:

function [y]=f(x1,x2)
  if x1<0 then y=x1, else y=x2;end
endfunction
-->f(-1)
 ans  =
 
  - 1.  
 
-->f(-1,x2)
       !--error     4 
undefined variable : x2  

-->f(1)
 undefined variable : x2                      
at line       2 of function    f     called by :  
f(1)

-->x2=3;f(1)

-->f(1)
 ans  =
 
    3

Global variable are defined by the global command. They can be read and modified inside functions. Enter help global for details.