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Connective Junctions

Example: If-Then-Else Decision Construct

This example shows the semantics of an if-then-else decision construct.


Initially the Stateflow diagram is asleep. State A is active. Event E_one occurs and awakens the Stateflow diagram. Condition [C_two] is true. Event E_one is processed from the root of the Stateflow diagram down through the hierarchy of the Stateflow diagram:

   1.
The Stateflow diagram root checks to see if there is a valid transition as a result of E_one. There is a valid transition segment from state A to the connective junction. The transition segments beginning from a twelve o'clock position on the connective junction are evaluated for validity. The first transition segment labeled with condition [C_one] is not valid. The next transition segment labeled with the condition [C_two] is valid. The complete transition from state A to state C is valid.
   2.
State A executes and completes exit actions (exitA()).
   3.
State A is marked inactive.
   4.
State C is marked active.
   5.
State C executes and completes entry actions (entC()).
   6.
The Stateflow diagram goes back to sleep waiting to be awakened by another event.
This sequence completes the execution of this Stateflow diagram associated with event E_one.

Example: Self Loop

This example shows the semantics of a self loop using a connective junction.


Initially the Stateflow diagram is asleep. State A is active. Event E_one occurs and awakens the Stateflow diagram. Condition [C_one] is false. Event E_one is processed from the root of the Stateflow diagram down through the hierarchy of the Stateflow diagram:

   1.
The Stateflow diagram root checks to see if there is a valid transition as a result of E_one. There is a valid transition segment from state A to the connective junction. The transition segment labeled with a condition and action is evaluated for validity. Since the condition [C_one] is not valid, the complete transition from state A to state B is not valid. The transition segment from the connective junction back to state A is valid.
   2.
State A executes and completes exit actions (exitA()).
   3.
State A is marked inactive.
   4.
The transition action A_two is executed and completed.
   5.
State A is marked active.
   6.
State A executes and completes entry actions (entA()).
   7.
The Stateflow diagram goes back to sleep waiting to be awakened by another event.
This sequence completes the execution of this Stateflow diagram associated with event E_one.

Example: For Loop Construct

This example shows the semantics of a for loop.


Initially the Stateflow diagram is asleep. State A is active. Event E_one occurs and awakens the Stateflow diagram. Event E_one is processed from the root of the Stateflow diagram down through the hierarchy of the Stateflow diagram.

   1.
The Stateflow diagram root checks to see if there is a valid transition as a result of E_one. There is a valid transition segment from state A to the connective junction. The transition segment condition action, i = 0, is executed and completed. Of the two transition segments leaving the connective junction, the transition segment that is a self loop back to the connective junction is evaluated next for validity. That segment takes priority in evaluation because it has a condition specified whereas the other segment is unlabeled.
   2.
The condition [i < 10 ] is evaluated as true. The condition actions, i++, and a call to func1 are executed and completed until the condition becomes false. A connective junction is not a final destination; thus the transition destination remains to be determined.
   3.
The unconditional segment to state B is now valid. The complete transition from state A to state B is valid.
   4.
State A executes and completes exit actions (exitA()).
   5.
State A is marked inactive.
   6.
State B is marked active.
   7.
State B executes and completes entry actions (entB()).
   8.
The Stateflow diagram goes back to sleep waiting to be awakened by another event.
This sequence completes the execution of this Stateflow diagram associated with event E_one.

Example: Flow Diagram Notation

This example shows the semantics of a Stateflow diagram that uses flow notation.


Initially the Stateflow diagram is asleep. State A.A1 is active. The condition [C_one()] is initially true. Event E_one occurs and awakens the Stateflow diagram. Event E_one is processed from the root of the Stateflow diagram down through the hierarchy of the Stateflow diagram:

   1.
The Stateflow diagram root checks to see if there is a valid transition as a result of E_one. There is no valid transition.
   2.
State A checks itself for valid transitions and detects a valid inner transition to a connective junction.
   3.
The next possible segments of the transition are evaluated. There is only one outgoing transition and it has a condition action defined. The condition action is executed and completed.
   4.
The next possible segments are evaluated. There are two outgoing transitions; one is a conditional self loop and the other is an unconditional transition segment. The conditional transition segment takes precedence. The condition [C_one()] is tested and is true; the self loop is taken. Since a final transition destination has not been reached, this self loop continues until [C_one()] is false. Assume that after five loops [C_one()] is false.
   5.
The next possible transition segment (to the next connective junction) is evaluated. It is an unconditional transition segment with a condition action. The transition segment is taken and the condition action, {d=my_func()}, is executed and completed. The returned value of d is 84.
   6.
The next possible transition segment is evaluated. There are three possible outgoing transition segments to consider. Two are conditional; one is unconditional. The segment labeled with the condition [d<100] is evaluated first based on the geometry of the two outgoing conditional transition segments. Since the return value of d is 84, the condition [d<100] is true and this transition (to the destination state A.A1) is valid.
   7.
State A.A1 exit actions execute and complete (exitA1()).
   8.
State A.A1 is marked inactive.
   9.
State A.A1 is marked active.
   10.
State A.A1 entry actions execute and complete (entA1()).
   11.
The Stateflow diagram goes back to sleep waiting to be awakened by another event.
This sequence completes the execution of this Stateflow diagram associated with event E_one.

Example: Transitions from a Common Source to Multiple Destinations

This example shows the semantics of transitions from a common source to multiple destinations.


Initially the Stateflow diagram is asleep. State A is active. Event E_two occurs and awakens the Stateflow diagram. Event E_two is processed from the root of the Stateflow diagram down through the hierarchy of the Stateflow diagram:

   1.
The Stateflow diagram root checks to see if there is a valid transition as a result of E_two. There is a valid transition segment from state A to the connective junction. Given that the transition segments are equivalently labeled, evaluation begins from a twelve o'clock position on the connective junction and progresses clockwise. The first transition segment labeled with event E_one is not valid. The next transition segment labeled with event E_two is valid. The complete transition from state A to state C is valid.
   2.
State A executes and completes exit actions (exitA()).
   3.
State A is marked inactive.
   4.
State C is marked active.
   5.
State C executes and completes entry actions (entC()).
   6.
The Stateflow diagram goes back to sleep waiting to be awakened by another event.
This sequence completes the execution of this Stateflow diagram associated with event E_two.

Example: Transitions from Multiple Sources to a Common Destination

This example shows the semantics of transitions from multiple sources to a single destination.


Initially the Stateflow diagram is asleep. State A is active. Event E_one occurs and awakens the Stateflow diagram. Event E_one is processed from the root of the Stateflow diagram down through the hierarchy of the Stateflow diagram.

   1.
The Stateflow diagram root checks to see if there is a valid transition as a result of E_one. There is a valid transition segment from state A to the connective junction and from the junction to state C.
   2.
State A executes and completes exit actions (exitA()).
   3.
State A is marked inactive.
   4.
State C is marked active.
   5.
State C executes and completes entry actions (entC()).
   6.
The Stateflow diagram goes back to sleep waiting to be awakened by another event.
This sequence completes the execution of this Stateflow diagram associated with event E_one.

Example: Transitions from a Source to a Destination Based on a Common Event

This example shows the semantics of transitions from multiple sources to a single destination based on the same event.


Initially the Stateflow diagram is asleep. State B is active. Event E_one occurs and awakens the Stateflow diagram. Event E_one is processed from the root of the Stateflow diagram down through the hierarchy of the Stateflow diagram:

   1.
The Stateflow diagram root checks to see if there is a valid transition as a result of E_one. There is a valid transition segment from state B to the connective junction and from the junction to state C.
   2.
State B executes and completes exit actions (exitB()).
   3.
State B is marked inactive.
   4.
State C is marked active.
   5.
State C executes and completes entry actions (entC()).
   6.
The Stateflow diagram goes back to sleep waiting to be awakened by another event.
This sequence completes the execution of this Stateflow diagram associated with event E_one.


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