function (MATLAB Function Reference)

Function M-files

You add new functions to MATLAB's vocabulary by expressing them in terms of existing functions. The existing commands and functions that compose the new function reside in a text file called an M-file.

M-files can be either scripts or functions. Scripts are simply files containing a sequence of MATLAB statements. Functions make use of their own local variables and accept input arguments.

The name of an M-file begins with an alphabetic character, and has a filename extension of .m . The M-file name, less its extension, is what MATLAB searches for when you try to use the script or function.

A line at the top of a function M-file contains the syntax definition. The name of a function, as defined in the first line of the M-file, should be the same as the name of the file without the .m extension. For example, the existence of a file on disk called stat.m with

function [mean,stdev] = stat(x)
n = length(x);
mean = sum(x)/n;
stdev = sqrt(sum((x-mean).^2/n));

defines a new function called stat that calculates the mean and standard deviation of a vector. The variables within the body of the function are all local variables.

A subfunction,visible only to the other functions in the same file, is created by defining a new function with the function keyword after the body of the preceding function or subfunction. For example, avg is a subfunction within the file stat.m:

function [mean,stdev] = stat(x)
n = length(x);
mean = avg(x,n);
stdev = sqrt(sum((x-avg(x,n)).^2)/n);

function mean = avg(x,n)
mean = sum(x)/n;

Subfunctions are not visible outside the file where they are defined. Functions normally return when the end of the function is reached. Use a return statement to force an early return.

When MATLAB does not recognize a function by name, it searches for a file of the same name on disk. If the function is found, MATLAB compiles it into memory for subsequent use. In general, if you input the name of something to MATLAB, the MATLAB interpreter:

1.: Checks to see if the name is a variable.

2.: Checks to see if the name is an internal function (eig, sin)that was not overloaded.

3.: Checks to see if the name is a local function (local in sense of multifunction file).

4.: Checks to see if the name is a function in a private directory.

5.: Locates any and all occurrences of function in method directories and on the path. Order is of no importance.

At execution MATLAB:

6.: Checks to see if the name is wired to a specific function (2, 3, & 4 above)

7.: Uses precedence rules to determine which instance from 5 above to call (we may default to an internal MATLAB function). Constructors have higher precedence than anything else.

When you call an M-file function from the command line or from within another M-file, MATLAB parses the function and stores it in memory. The parsed function remains in memory until cleared with the clear command or you quit MATLAB. The pcode command performs the parsing step and stores the result on the disk as a P-file to be loaded later.