A2b4: halb fertig
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4690707634
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1931b23be0
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@ -2,10 +2,12 @@
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sort
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CardinalDirection = struct north | east | south | west;
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%-----------------------------------------------------------------------------
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sort
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Colour = struct red | green | yellow;
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%Definition Farbliche Reihenfolge
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map
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nextColour: Colour -> Colour;
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@ -14,6 +16,7 @@ eqn
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nextColour(green) = yellow;
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nextColour(yellow) = red;
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%------------------------------------------------------------------------------
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act
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show : CardinalDirection # Colour;
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@ -21,12 +24,12 @@ proc
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TrafficLight(direction : CardinalDirection) = TF(direction, red);
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TF(direction : CardinalDirection, colour : Colour) =
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show(direction, colour).
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TF(direction, nextColour(colour))
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show(direction, colour) . %zeige aktuellen Zustand
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TF(direction, nextColour(colour)) %zum nächsten Zustand wechseln
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;
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%-----------------------------------------------------------------------------
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%Initialisation der seperaten Ampeln
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init
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TrafficLight(north) || TrafficLight(east) || TrafficLight(south) || TrafficLight(west)
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;
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@ -3,14 +3,6 @@
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sort
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CardinalDirection = struct north | east | south | west;
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map
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otherDirection : CardinalDirection -> CardinalDirection;
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eqn
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otherDirection(north) = south;
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otherDirection(south) = north;
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otherDirection(east) = west;
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otherDirection(west) = east;
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%-----------------------------------------------------------------------
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@ -19,18 +11,14 @@ sort
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map
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nextColour: Colour -> Colour;
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safeColour: Colour -> Colour;
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eqn
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nextColour(red) = green;
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nextColour(green) = yellow;
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nextColour(yellow) = red;
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safeColour(green) = red;
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safeColour(red) = green;
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safeColour(yellow) = red;
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%------------------------------------------------------------------------
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%die aktuellen Werte für die verschiedenen Ampeln werden in einer KeyValue Map gespeichert.
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sort
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Map = K -> V;
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@ -72,15 +60,15 @@ proc
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;
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Monitor(status : Map) =
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((status(north) in {green, yellow} || status(south) in {green, yellow}) && (status(east) in {green, yellow} || status(west) in {green, yellow}))
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-> crossingUnsafe(status(north), status(east), status(south), status(west)) . delta
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((status(north) in {green, yellow} || status(south) in {green, yellow}) && (status(east) in {green, yellow} || status(west) in {green, yellow})) %ist aktueller Zustand unsicher ?
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-> crossingUnsafe(status(north), status(east), status(south), status(west)) . delta %unsicherer Zustand, deadlock
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<>
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<>%wenn aktueller Zustand sicher:
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sum direction : CardinalDirection.(
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sum c : Colour .
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seeColour(direction, c) .
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Monitor(status= status[direction -> c])
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);
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seeColour(direction, c) . %jede mögliche Kombination anbieten
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Monitor(status= status[direction -> c])%und entsprechend speichern
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);
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System =
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allow({
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@ -3,15 +3,6 @@
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sort
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CardinalDirection = struct north | east | south | west;
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map
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otherDirections : CardinalDirection -> Set(CardinalDirection);
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eqn
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otherDirections(north) = {east, west};
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otherDirections(south) = {east, west};
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otherDirections(east) = {north, south};
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otherDirections(west) = {north, south};
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%-----------------------------------------------------------------------
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sort
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@ -19,7 +10,6 @@ sort
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map
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nextColour: Colour -> Colour;
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safeColour: Colour -> Colour;
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eqn
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nextColour(red) = green;
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@ -71,17 +61,18 @@ proc
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sum c : Colour .
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(c == green) ->
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(direction == north || direction == south) ->
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((status(east) == red && status(west) == red) ->
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seeColour(direction, c) . Monitor(status= status[direction -> c]))
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((status(east) == red && status(west) == red) -> % sind die anderen Ampeln rot ?
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seeColour(direction, c) . Monitor(status= status[direction -> c])) % dann darf fortgefahren werden
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<>
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((status(north) == red && status(south) == red) ->
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seeColour(direction, c) . Monitor(status= status[direction -> c]))
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<>
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seeColour(direction, c) .
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<> %soll nicht grün gezeigt werden kann einfach fortgefahren werden, es wurde ja bereits überprüft
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seeColour(direction, c) .
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Monitor(status= status[direction -> c])
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);
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System =
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allow({
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colourSeen
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@ -0,0 +1,4 @@
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<root>
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<spec>v4_spec.mcrl2</spec>
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<properties/>
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</root>
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@ -0,0 +1,78 @@
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%-----------------------------------------------------------------------
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sort
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CardinalDirection = struct north | east | south | west;
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map
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oppositeDirection: CardinalDirection -> CardinalDirection;
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nextDirection: CardinalDirection -> CardinalDirection;
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eqn
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oppositeDirection(north) = south;
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oppositeDirection(south) = north;
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oppositeDirection(east) = west;
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oppositeDirection(west) = east;
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nextDirection(north) = east;
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nextDirection(east) = south;
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nextDirection(south) = west;
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nextDirection(west) = north;
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%-----------------------------------------------------------------------
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sort
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Colour = struct red | green | yellow;
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map
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nextColour: Colour -> Colour;
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eqn
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nextColour(red) = green;
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nextColour(green) = yellow;
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nextColour(yellow) = red;
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%------------------------------------------------------------------------
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act
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show : CardinalDirection # Colour;
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changeLight: Colour;
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changedLight: Colour;
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changeDirection: CardinalDirection;
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changedDirection: CardinalDirection;
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emptyAct;
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%------------------------------------------------------------------------
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proc
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TrafficLight(direction : CardinalDirection) = TL(direction, red);
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TL(direction : CardinalDirection, colour : Colour) =
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(colour == red)
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-> changeDirection(nextDirection(direction)) . TL(direction, nextColour(colour))
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<> changeLight(nextColour(colour)) . show(direction, nextColour(colour)) . TL(direction, nextColour(colour))
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;
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System =
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allow({
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show,
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%changeLight,
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changedLight,
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%changeDirection,
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changedDirection,
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emptyAct
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},
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comm({
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changeDirection | changeDirection -> changedDirection,
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changeLight | changeLight -> changedLight
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},
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TrafficLight(north) || TrafficLight(east) || TrafficLight(south) || TrafficLight(west)
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));
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init
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System
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;
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@ -67,21 +67,26 @@ act
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proc
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VM(credit : Int) =
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(credit < 200) -> sum c : Coin.accept(c).VM(credit + value(c)) %Coins akzeptieren, solange credit < 2€
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(credit < 200) ->
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sum c : Coin
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.accept(c).VM(credit + value(c)) %Coins akzeptieren, solange credit < 2€
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+ (credit > 0) -> returnChange(credit).ReturnChange(credit)%Geld zurückgeben wenn credit > 0
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+ (credit > 0) ->
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returnChange(credit).ReturnChange(credit)%Geld zurückgeben wenn credit > 0
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+ sum p : Product.(
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(credit >= price(p)) -> offer(p).serve(p).VM(credit - price(p))%Produkt anbieten, wenn genug credit
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);
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(credit >= price(p)) ->
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offer(p).serve(p).VM(credit - price(p))%Produkt anbieten, wenn genug credit
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);
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ReturnChange(credit : Int) =
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sum c : Coin.((credit >= value(c) && credit < next(c)) -> %größt möglichen Coin ermitteln
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return(c).( %diesen zurückgeben
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((credit - value(c)) > 0) %wenn noch Geld übrig
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-> ReturnChange(credit - value(c)) %dieses zurückgeben
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<> VM(credit - value(c)) % oder nur abziehen
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sum c : Coin.(
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(credit >= value(c) && credit < next(c)) -> %größt möglichen Coin ermitteln
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return(c).( %diesen zurückgeben
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((credit - value(c)) > 0) %wenn noch Geld übrig
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-> ReturnChange(credit - value(c)) %dieses zurückgeben
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<> VM(credit - value(c)) % oder nur abziehen
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));
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