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import java.util.concurrent.ThreadLocalRandom; | |
import java.util.List; | |
class Auto { | |
/*@ predicate auto(int p,int r)= position |-> p &*& richtung |-> | |
r &*& 0 < p &*& p < 5 &*& 0 < r &*& r < 5; | |
@*/ | |
public int position; | |
public int richtung; | |
public Auto(int position, int richtung) | |
//@ requires true; | |
//@ ensures auto(?p,?r); | |
{ | |
if(0<position&&position<5) | |
this.position = position; | |
else this.position=1; | |
if(0<richtung&&richtung<5) | |
this.richtung = richtung; | |
else this.richtung=1; | |
} | |
public void drive(int ampel) | |
//@ requires auto(?p,?r); | |
/*@ ensures auto(?p2,r) &*& ampel!=Ampelstatus.GRUEN || p2!=r || ampel == Ampelstatus.GRUEN ; | |
@*/ | |
{ | |
if (ampel == Ampelstatus.GRUEN) { | |
this.position = richtung; | |
} | |
} | |
public int getPosition() | |
//@ requires auto(?p,?r); | |
//@ ensures auto(p,r) &*& result==p; | |
{ | |
return this.position; | |
} | |
public int getRichtung() | |
//@ requires auto(?p,?r); | |
//@ ensures auto(p,r) &*& result==r; | |
{ | |
return this.richtung; | |
} | |
public String toString() | |
{ | |
return "Auto [position=" + Richtung.getName(position) + ", richtung=" + Richtung.getName(richtung) + "]"; | |
} | |
} | |
class Richtung { | |
final static int NORDEN = 1; | |
final static int SUEDEN = 2; | |
final static int WESTEN = 3; | |
final static int OSTEN = 4; | |
public static String getName(int key) { | |
switch (key) { | |
case 1: | |
return "NORDEN"; | |
case 2: | |
return "SUEDEN"; | |
case 3: | |
return "WESTEN"; | |
case 4: | |
return "OSTEN"; | |
default: | |
return ""; | |
} | |
} | |
} | |
class Ampelstatus { | |
final static int ROT = 1; | |
final static int GELB = 2; | |
final static int GRUEN = 3; | |
final static int GELBROT=4; | |
public static String getName(int key) { | |
switch (key) { | |
case 1: | |
return "ROT"; | |
case 2: | |
return "GELB"; | |
case 3: | |
return "GRUEN"; | |
case 4: | |
return "GELBROT"; | |
default: | |
return ""; | |
} | |
} | |
} | |
class Ampel { | |
/*@ predicate ampel(int s,int z) = | |
status |-> s &*& zaehler |-> z &*& | |
0 < s &*& s < 5 &*& | |
0 <= z &*& z < 4 ; | |
@*/ | |
private int status; | |
private int zaehler; | |
public Ampel(int status, int zaehler) { | |
this.status = status; | |
this.zaehler = zaehler; | |
} | |
private void changeStatus() | |
//@ requires ampel(?s,?z); | |
/*@ ensures ampel(?s2,z) &*& | |
0 <= z || z<4 || | |
s==Ampelstatus.GELB && s2==Ampelstatus.GRUEN || | |
s==Ampelstatus.GRUEN && s2==Ampelstatus.GELBROT || | |
s==Ampelstatus.GELBROT && s2==Ampelstatus.ROT || | |
s==Ampelstatus.ROT && s2==Ampelstatus.GELB; | |
@*/ | |
{ | |
switch (this.status) { | |
case Ampelstatus.GRUEN: | |
this.status = Ampelstatus.GELBROT; | |
break; | |
case Ampelstatus.GELB: | |
this.status = Ampelstatus.GRUEN; | |
break; | |
case Ampelstatus.ROT: | |
this.status = Ampelstatus.GELB; | |
break; | |
case Ampelstatus.GELBROT: | |
this.status=Ampelstatus.ROT; | |
break; | |
} | |
} | |
public int getStatus() | |
//@ requires ampel(?s,?z); | |
//@ ensures ampel(s,z) &*& result==s; | |
{ | |
return this.status; | |
} | |
public void addZaehler() | |
//Kann nicht verifiziert werden wegen eines Fehlers in verifast | |
{ | |
if (this.zaehler < 3) { | |
this.zaehler++; | |
} else { | |
this.zaehler = 0; | |
this.changeStatus(); | |
} | |
} | |
public String toString() { | |
return "Ampel [status=" + Ampelstatus.getName(status) + ", zaehler=" + zaehler + "]" ; | |
} | |
} | |
class Strasse { | |
/*@ predicate strasse(Auto a,int p,Ampel am, int r) = | |
auto |-> a &*& position |-> p &*& ampel |-> am &*& richtung |-> r &*& | |
a != null &*& | |
0 < p &*& p < 5 &*& | |
am != null &*& | |
0 <= r &*& r < 2; | |
@*/ | |
/*@ | |
predicate strasseOhneAuto(int p,Ampel am,int r)= | |
position |-> p &*& ampel |-> am &*& richtung |-> r &*& | |
0 < p &*& p < 5 &*& | |
am != null &*& | |
0 <= r &*& r < 2; | |
@*/ | |
private Auto auto; | |
private int position; | |
private Ampel ampel; | |
private int richtung; | |
public Strasse(int position, Ampel ampel) { | |
this.position = position; | |
this.ampel = ampel; | |
this.richtung=0; | |
} | |
private void addAuto() | |
//@ requires strasseOhneAuto(?p,?am,?r) &*& this.auto |-> _; | |
//@ ensures strasse(?a2,?p2,?am2,?r); | |
{ | |
int autoRichtung=0; | |
switch (position) { | |
case Richtung.NORDEN: | |
autoRichtung=this.richtung==0?Richtung.SUEDEN:Richtung.WESTEN; | |
break; | |
case Richtung.SUEDEN: | |
autoRichtung=this.richtung==0?Richtung.NORDEN:Richtung.OSTEN; | |
break; | |
case Richtung.WESTEN: | |
autoRichtung=this.richtung==0?Richtung.SUEDEN:Richtung.OSTEN; | |
break; | |
case Richtung.OSTEN: | |
autoRichtung=this.richtung==0?Richtung.NORDEN:Richtung.WESTEN; | |
break; | |
} | |
Auto auto = new Auto(this.position, autoRichtung); | |
assert auto != null; | |
this.richtung=this.richtung==1?0:1; | |
this.auto = auto; | |
} | |
//requires strasseOhneAuto(?p,?am,?lp) &*& this.auto |-> _; | |
// ensures strasse(?a,?p2,?am2,?lp2); | |
public void tick() | |
{ | |
if (this.auto == null) { | |
this.addAuto(); | |
} else if (this.auto.getPosition() != this.position) { | |
this.addAuto(); | |
} | |
this.ampel.addZaehler(); | |
this.auto.drive(this.ampel.getStatus()); | |
System.out.println(this.toString()); | |
} | |
public String toString() { | |
return "Strasse [auto=" + this.auto.toString() + ", position=" + Richtung.getName(position) + ", ampel=" | |
+ ampel.toString() + "]"; | |
} | |
} | |
class Simulation { | |
/*@ predicate simulation(Strasse[] s)= | |
strassen[0..strassen.length] |-> s &*& | |
forall_ (int k;k <0 || k >= s.length || nth(k,s)!= null); | |
@*/ | |
private Strasse[] strassen; | |
public Simulation() { | |
super(); | |
this.strassen = new Strasse[4]; | |
} | |
public void init() { | |
Ampel ampel = new Ampel(Ampelstatus.GRUEN, 0); | |
Ampel ampel2 = new Ampel(Ampelstatus.GRUEN, 0); | |
Ampel ampel3 = new Ampel(Ampelstatus.ROT, 0); | |
Ampel ampel4 = new Ampel(Ampelstatus.ROT, 0); | |
strassen[1] = new Strasse(Richtung.NORDEN, ampel2); | |
strassen[3] = new Strasse(Richtung.OSTEN, ampel4); | |
strassen[0] = new Strasse(Richtung.SUEDEN, ampel); | |
strassen[2] = new Strasse(Richtung.WESTEN, ampel3); | |
} | |
public void start() { | |
java.util.Scanner in = new java.util.Scanner(System.in); | |
String stop = ""; | |
while (!"stop".equals(stop)) { | |
for (int i = 0; i < strassen.length; i++) { | |
strassen[i].tick(); | |
} | |
stop = in.nextLine(); | |
} | |
in.close(); | |
} | |
} |
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