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-rw-r--r--Source/Jennisys/examples/jennisys-synth_Number.dfy202
1 files changed, 202 insertions, 0 deletions
diff --git a/Source/Jennisys/examples/jennisys-synth_Number.dfy b/Source/Jennisys/examples/jennisys-synth_Number.dfy
new file mode 100644
index 00000000..5ede7f5c
--- /dev/null
+++ b/Source/Jennisys/examples/jennisys-synth_Number.dfy
@@ -0,0 +1,202 @@
+class Number {
+ ghost var Repr: set<object>;
+ ghost var num: int;
+
+
+ function Valid_repr(): bool
+ reads *;
+ {
+ this in Repr &&
+ null !in Repr
+ }
+
+ function Valid_self(): bool
+ reads *;
+ {
+ Valid_repr() &&
+ true
+ }
+
+ function Valid(): bool
+ reads *;
+ {
+ this.Valid_self() &&
+ true
+ }
+
+ method Init(p: int)
+ modifies this;
+ ensures fresh(Repr - {this});
+ ensures Valid();
+ ensures num == p;
+ {
+ this.num := p;
+ // repr stuff
+ this.Repr := {this};
+ }
+
+ method Double(p: int)
+ modifies this;
+ ensures fresh(Repr - {this});
+ ensures Valid();
+ ensures num == 2 * p;
+ {
+ this.num := 2 * p;
+ // repr stuff
+ this.Repr := {this};
+ }
+
+ method Sum(a: int, b: int)
+ modifies this;
+ ensures fresh(Repr - {this});
+ ensures Valid();
+ ensures num == a + b;
+ {
+ this.num := a + b;
+ // repr stuff
+ this.Repr := {this};
+ }
+
+ method Min2(a: int, b: int)
+ modifies this;
+ ensures fresh(Repr - {this});
+ ensures Valid();
+ ensures a < b ==> num == a;
+ ensures a >= b ==> num == b;
+ {
+ if (a >= b ==> a == b) {
+ this.num := a;
+ // repr stuff
+ this.Repr := {this};
+ } else {
+ this.num := b;
+ // repr stuff
+ this.Repr := {this};
+ }
+ }
+
+ method Min22(a: int, b: int)
+ modifies this;
+ ensures fresh(Repr - {this});
+ ensures Valid();
+ ensures num in {a, b};
+ ensures num <= a;
+ ensures num <= b;
+ {
+ if (a <= b) {
+ this.num := a;
+ // repr stuff
+ this.Repr := {this};
+ } else {
+ this.num := b;
+ // repr stuff
+ this.Repr := {this};
+ }
+ }
+
+ method Min3(a: int, b: int, c: int)
+ modifies this;
+ ensures fresh(Repr - {this});
+ ensures Valid();
+ ensures num in {a, b, c};
+ ensures num <= a;
+ ensures num <= b;
+ ensures num <= c;
+ {
+ if (a <= b && a <= c) {
+ this.num := a;
+ // repr stuff
+ this.Repr := {this};
+ } else {
+ if (c <= a && c <= b) {
+ this.num := c;
+ // repr stuff
+ this.Repr := {this};
+ } else {
+ this.num := b;
+ // repr stuff
+ this.Repr := {this};
+ }
+ }
+ }
+
+ method MinSum(a: int, b: int, c: int)
+ modifies this;
+ ensures fresh(Repr - {this});
+ ensures Valid();
+ ensures num in {a + b, a + c, b + c};
+ ensures num <= a + b;
+ ensures num <= b + c;
+ ensures num <= a + c;
+ {
+ if (a + b <= b + c && a + b <= a + c) {
+ this.num := a + b;
+ // repr stuff
+ this.Repr := {this};
+ } else {
+ if (a + c <= a + b && a + c <= b + c) {
+ this.num := a + c;
+ // repr stuff
+ this.Repr := {this};
+ } else {
+ this.num := b + c;
+ // repr stuff
+ this.Repr := {this};
+ }
+ }
+ }
+
+ method Min4(a: int, b: int, c: int, d: int)
+ modifies this;
+ ensures fresh(Repr - {this});
+ ensures Valid();
+ ensures num in {a, b, c, d};
+ ensures num <= a;
+ ensures num <= b;
+ ensures num <= c;
+ ensures num <= d;
+ {
+ if (a <= b && (a <= c && a <= d)) {
+ this.num := a;
+ // repr stuff
+ this.Repr := {this};
+ } else {
+ if (d <= a && (d <= b && d <= c)) {
+ this.num := d;
+ // repr stuff
+ this.Repr := {this};
+ } else {
+ if (c <= a && (c <= b && c <= d)) {
+ this.num := c;
+ // repr stuff
+ this.Repr := {this};
+ } else {
+ this.num := b;
+ // repr stuff
+ this.Repr := {this};
+ }
+ }
+ }
+ }
+
+ method Abs(a: int)
+ modifies this;
+ ensures fresh(Repr - {this});
+ ensures Valid();
+ ensures a < 0 ==> num == -a;
+ ensures a >= 0 ==> num == a;
+ {
+ if (!(a >= 0)) {
+ this.num := -a;
+ // repr stuff
+ this.Repr := {this};
+ } else {
+ this.num := a;
+ // repr stuff
+ this.Repr := {this};
+ }
+ }
+
+}
+
+