A MATLAB® function in a Stateflow® chart is a graphical element that you use to write algorithms that are easier to implement by calling built-in MATLAB functions. This type of function is useful for coding algorithms that are more easily expressed by using MATLAB instead of the graphical Stateflow constructs. For more information, see Reuse MATLAB Code by Defining MATLAB Functions.
Inside a MATLAB function, you can call these types of functions:
Local functions defined in the body of the MATLAB function.
Graphical, Simulink®, truth table, and other MATLAB functions in the chart.
Built-in MATLAB functions that support code generation. These functions generate C code for building targets that conform to the memory and data type requirements of embedded environments.
Extrinsic MATLAB functions that do not support code generation. These functions execute only in the MATLAB workspace during simulation of the model. For more information, see Call Extrinsic MATLAB Functions in Stateflow Charts.
Simulink Design Verifier™ functions for property proving and test generation. These functions include:
sldv.prove
(Simulink Design Verifier)
sldv.assume
(Simulink Design Verifier)
sldv.test
(Simulink Design Verifier)
sldv.condition
(Simulink Design Verifier)
This example shows how to create a model with a Stateflow chart that calls two MATLAB functions, meanstats
and stdevstats
:
meanstats
calculates the mean of the values in
vals
.
stdevstats
calculates a standard deviation for the values in
vals
.
Follow these steps:
Create a new model with the following blocks:
Save the model as call_stats_function_stateflow
.
In the model, double-click the Chart block.
Drag two MATLAB functions into the empty chart using this icon from the toolbar:
A text field with a flashing cursor appears in the middle of each MATLAB function.
Label each function as shown:
You must label a MATLAB function with its signature. Use the following syntax:
[return_val1, return_val2,...] = function_name(arg1, arg2,...)
You can specify multiple return values and multiple input arguments, as shown in the syntax. Each return value and input argument can be a scalar, vector, or matrix of values.
Tip
For MATLAB functions with only one return value, you can omit the brackets in the signature label.
In the chart, draw a default transition into a terminating junction with this condition action:
{ mean = meanstats(invals); stdev = stdevstats(invals); }
The chart should look something like this:
Tip
If the formal arguments of a function signature are scalars, verify that inputs and outputs of function calls follow the rules of scalar expansion. For more information, see Assign Values to All Elements of a Matrix.
In the Modeling tab, under Design Data, select Model Explorer.
In the Model Hierarchy pane of the Model Explorer, select the
function meanstats
.
The Contents pane displays the input argument
vals
and output argument meanout
. Both are
scalars of type double
by default.
Double-click the vals
row under the Size column to set the size of vals
to
4
.
In the Model Hierarchy pane of the Model Explorer, select the
function stdevstats
and repeat the previous step.
In the Model Hierarchy pane of the Model Explorer, select
Chart
and add the following data:
Name | Scope | Size |
---|---|---|
|
| 4 |
|
| Scalar (no change) |
|
| Scalar (no change) |
You should now see the following data in the Model Explorer.
After you add the data invals
, mean
, and
stdev
to the chart, the corresponding input and output ports appear
on the Stateflow block in the model.
Connect the Constant and Display blocks to the ports of the Chart block and save the model.
To program the functions meanstats
and stdevstats
,
follow these steps:
Open the chart in the model
call_stats_function_stateflow
.
In the chart, open the function
meanstats
.
The function editor appears with the header:
function meanout = meanstats(vals)
This header is taken from the function label in the chart. You can edit the header directly in the editor, and your changes appear in the chart after you close the editor.
On the line after the function header, enter:
%#codegen
The %#codegen
compilation directive helps detect compile-time
violations of syntax and semantics in MATLAB functions supported for code generation.
Enter a line space and this comment:
% Calculates the statistical mean for vals
Add the line:
len = length(vals);
The function length
is an example of a built-in
MATLAB function that is supported for code generation. You can call this function
directly to return the vector length of its argument vals
. When you
build a simulation target, the function length is implemented with generated C code.
Functions supported for code generation appear in Functions and Objects Supported for C/C++ Code Generation (MATLAB Coder).
The variable len
is an example of implicitly declared local data.
It has the same size and type as the value assigned to it — the value returned by
the function length
, a scalar double
. To learn
more about declaring variables, see Data Definition Basics (MATLAB Coder).
The MATLAB function treats implicitly declared local data as temporary data, which
exists only when the function is called and disappears when the function exits. You can
declare local data for a MATLAB function in a chart to be persistent by using the persistent
construct.
Enter this line to calculate the value of
meanout
:
meanout = avg(vals,len);
The function meanstats
stores the mean of vals
in the Stateflow data meanout
. Because these data are defined for the
parent Stateflow chart, you can use them directly in the MATLAB function.
Two-dimensional arrays with a single row or column of elements are treated as
vectors or matrices in MATLAB functions. For example, in meanstats
, the argument
vals
is a four-element vector. You can access the fourth element of
this vector with the matrix notation vals(4,1)
or the vector notation
vals(4)
.
The MATLAB function uses the functions avg
and
sum
to compute the value of mean
.
sum
is a function supported for code generation.
avg
is a local function that you define later. When resolving
function names, MATLAB functions in your chart look for local functions first, followed by
functions supported for code generation.
Note
If you call a function that the MATLAB function cannot resolve as a local function or a function for code generation, you must declare the function to be extrinsic.
Now enter this statement:
coder.extrinsic('plot');
Enter this line to plot the input values in
vals
against their vector index.
plot(vals,'-+');
Recall that you declared plot
to be an extrinsic function because
it is not supported for code generation. When the MATLAB function encounters an extrinsic function, it sends the call to the
MATLAB workspace for execution during simulation.
Now, define the local function avg
, as
follows:
function mean = avg(array,size) mean = sum(array)/size;
The header for avg
defines two arguments,
array
and size
, and a single return value,
mean
. The local function avg
calculates the
average of the elements in array
by dividing their sum by the value
of argument size
.
The complete code for the function meanstats
looks like
this:
function meanout = meanstats(vals) %#codegen % Calculates the statistical mean for vals len = length(vals); meanout = avg(vals,len); coder.extrinsic('plot'); plot(vals,'-+'); function mean = avg(array,size) mean = sum(array)/size;
Save the model.
Back in the chart, open the function stdevstats
and add code to
compute the standard deviation of the values in vals
. The complete
code should look like this:
function stdevout = stdevstats(vals) %#codegen % Calculates the standard deviation for vals len = length(vals); stdevout = sqrt(sum(((vals-avg(vals,len)).^2))/len); function mean = avg(array,size) mean = sum(array)/size;
Save the model again.