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Stateflow^{®} charts can detect changes in the values of data and expressions between time
steps. You can use change detection operators to determine when a variable changes to or from
a value.

To generate an implicit local event when the chart sets the value of a variable, use the
`change`

operator. For more
information, see Control Chart Behavior by Using Implicit Events.

To detect changes in Stateflow data, use the operators listed in this table.

Operator | Syntax | Description | Example |
---|---|---|---|

`hasChanged` | `tf = hasChanged(data_name)` | Returns 1 (`true` ) if the value of
`data_name` at the beginning of the current time step is
different from the value of `data_name` at the beginning of the
previous time step. Otherwise, the operator returns 0
(`false` ). | Transition out of state if any element of the matrix
[hasChanged(M)] |

Transition out of state if the element in row 1 and column 3 of the
matrix In charts that use MATLAB [hasChanged(M(1,3))] In charts that use C as the action language, use: [hasChanged(M[0][2])] | |||

`hasChangedFrom` | `tf = hasChangedFrom(data_name,value)` | Returns 1 (`true` ) if the value of
`data_name` was equal to the specified `value`
at the beginning of the previous time step and is a different value at the
beginning of the current time step. Otherwise, the operator returns 0
(`false` ). | Transition out of state if the previous value of the structure
[hasChangedFrom(struct,structValue)] |

`hasChangedTo` | `tf = hasChangedTo(data_name,value)` | Returns 1 (`true` ) if the value of
`data_name` was not equal to the specified
`value` at the beginning of the previous time step and is equal
to `value` at the beginning of the current time step. Otherwise,
the operator returns 0 (`false` ). | Transition out of state if the structure field
[hasChangedTo(struct.field,5)] |

**Note**

If multiple input events occur in the same time step, these operators can detect changes in data value between input events.

This model shows how the operators `hasChanged`

, `hasChangedFrom`

, and `hasChangedTo`

detect specific changes in an input signal. In this example, a Ramp block sends a discrete, increasing time signal to a chart.

The model uses a fixed-step solver with a step size of 1. The signal increments by 1 every time step. The chart analyzes the input signal `u`

for these changes:

Any change from the previous time step

A change to the value 3

A change from the value 3

To check the signal, the chart calls three change detection operators in a transition action. The chart outputs the return values as `y1`

, `y2`

, and `y3`

.

During simulation, the Scope block shows the input and output signals for the chart.

The value of

`u`

increases by 1 every time step.The value of

`y1`

changes from 0 to 1 at time t = 1. The value of`y1`

remains 1 because`u`

continues to change at each subsequent time step.The value of

`y2`

changes from 0 to 1 at time t = 4 when the value of`u`

changes from 3 to 4. The value of`y2`

returns to 0 after one time step.The value of

`y3`

changes from 0 to 1 at time t = 3 when the value of`u`

changes from 2 to 3. The value of`y3`

returns to 0 after one time step.

The type of Stateflow chart determines the scope of the data supported for change detection:

Standalone Stateflow charts in MATLAB:

`Local`

onlyIn Simulink

^{®}models, charts that use MATLAB as the action language:`Input`

onlyIn Simulink models, charts that use C as the action language:

`Input`

,`Output`

,`Local`

, or`Data Store Memory`

The argument `data_name`

can be:

A scalar variable.

A matrix or an element of a matrix.

If

`data_name`

is a matrix, the operator returns`true`

when it detects a change in any element of`data_name`

.Index elements of a matrix by using numbers or expressions that evaluate to a constant integer. See Supported Operations for Vectors and Matrices.

A structure or a field in a structure.

If

`data_name`

is a structure, the change detection operator returns`true`

when it detects a change in any field of`data_name`

.Index fields in a structure by using dot notation. See Index and Assign Values to Stateflow Structures.

Any valid combination of structure fields or matrix elements.

The argument `data_name`

cannot be a nontrivial expression
or a custom code variable.

**Note**

Standalone charts in MATLAB do not support change detection on an element of a matrix or a field in a structure.

For the `hasChangedFrom`

and `hasChangedTo`

operators, the argument `value`

can be any expression that resolves to a
value that is comparable with `data_name`

.

If

`data_name`

is a scalar, then`value`

must resolve to a scalar value.If

`data_name`

is a matrix, then`value`

must resolve to a matrix value with the same dimensions as`data_name`

.Alternatively, in a chart that uses C as the action language,

`value`

can resolve to a scalar value. The chart uses scalar expansion to compare`data_name`

to a matrix whose elements are all equal to the value specified by`value`

. See Assign Values to All Elements of a Matrix.If

`data_name`

is a structure, then`value`

must resolve to a structure value whose field specification matches`data_name`

exactly.

A chart detects changes in chart data by evaluating values at time step boundaries. The chart compares the value at the beginning of the previous execution step with the value at the beginning of the current execution step.

For example, when you invoke the `hasChanged`

operator with an argument
of `x`

, the Stateflow chart double-buffers the values of `x`

in local
variables.

Local Buffer | Description |
---|---|

`x_prev` | Value of data |

`x_start` | Value of data |

To detect changes, the chart double-buffers data values *after* an
event triggers the chart but *before* the chart begins execution. If the
values of `x`

and
_{prev}`x`

match, the change detection operator
returns _{start}`false`

(to indicate that no change occurred); otherwise, it
returns `true`

(to indicate a change). This diagram places these tasks in
the context of the chart life cycle.

The change detection operators attempt to filter out transient changes in local chart
variables by evaluating their values only at time boundaries. The chart evaluates the
specified local variable only once at the end of the execution step. The return value of
the change detection operators remains constant even if the value of the local variable
fluctuates within a given time step. For example, suppose that in the current time step,
the local variable `temp`

changes from its value at the previous time
step but then reverts to the original value. The operator
`hasChanged(temp)`

returns `false`

for the next time
step, indicating that no change occurred.

When multiple input events occur in the same time step, or when you enable super step
semantics, the chart updates the `x`

and
_{prev}`x`

buffers every time it executes. The
chart detects changes in value between input events and super step iterations, even if the
changes occur more than once in a given time step. For more information, see Use Events to Execute Charts
and Super Step Semantics._{start}

change | hasChanged | hasChangedFrom | hasChangedTo