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// This method can be used to test compilation.
method Main()
{
var m := map[2:=3];
// test "in"
if(2 in m)
{
print "m0\n";
}
else
{ assert false; }
// test "!in"
if(3 !in m)
{
print "m1\n";
}
else
{ assert false; }
// dereference
if(m[2] == 3)
{
print "m2\n";
}
else
{ assert false; }
// test disjoint operator
if(m !! map[3 := 3])
{
print "m3\n";
}
else
{ assert false; }
// updates should replace values that already exist
if(m[2 := 4] == map[2 := 4])
{
print "m4\n";
}
else
{ assert false; }
// add something to the map
if(m[7 := 1] == map[2 := 3,7 := 1])
{
print "m5\n";
}
else
{ assert false; }
// test applicative nature of Map<U, V> in C#
if(m == map[2 := 3])
{
print "m6\n";
}
else
{ assert false; }
// this should print all m1, m2, ... m6.
}
method m()
{
var a := map[2:=3]; var b := map[3:=2];
assert a[b[3]] == 3;
}
method m2(a: map<int, bool>, b: map<int, bool>)
requires forall i | 0 <= i < 100 :: i in a && i in b && a[i] != b[i];
{
assert forall i | 0 <= i < 100 :: a[i] || b[i];
}
method m3(a: map<int, int>)
requires forall i | 0 <= i < 100 :: i in a && a[i] == i*i;
{
assert a[20] == 400;
}
method m4()
{
var a := map[3 := 9];
if(a[4] == 4) // UNSAFE, 4 not in the domain
{
m();
}
}
method m5(a: map<int, int>)
requires 20 in a;
{
assert a[20] <= 0 || 0 < a[20];
}
method m6()
{
var a := map[3 := 9];
assert a[3:=5] == map[3:=5];
assert a[2:=5] == map[2:=5, 3:=9];
assert a[2:=5] == map[2:=6, 3:=9, 2:=5]; // test the ordering of assignments in the map literal
}
method m7()
{
var a := map[1:=1, 2:=4, 3:=9];
assert forall i | i in a :: a[i] == i * i;
assert 0 !in a;
assert 1 in a;
assert 2 in a;
assert 3 in a;
assert forall i | i < 1 || i > 3 :: i !in a;
}
method m8()
{
var a := map[];
assert forall i :: i !in a; // check emptiness
var i,n := 0, 100;
while(i < n)
invariant 0 <= i <= n;
invariant forall i | i in a :: a[i] == i * i;
invariant forall k :: 0 <= k < i <==> k in a;
{
a := a[i := i * i];
i := i + 1;
}
assert a !! map[-1:=2];
m3(a);
}
method m9()
{
var a, b := map[], map[];
assert a !! b;
b := map[2:=3,4:=2,5:=-6,6:=7];
assert a !! b;
assert b !! map[6:=3]; // ERROR, both share 6 in the domain.
}
method m10()
{
var a, b := map[], map[];
assert a !! b;
b := map[2:=3,4:=2,5:=-6,6:=7];
assert a !! b;
a := map[3:=3,1:=2,9:=-6,8:=7];
assert a !! b;
}
method m11<U, V>(a: map<U, V>, b: map<U, V>)
requires forall i :: !(i in a && i in b);
{
assert a !! b;
}
method m12()
{
var x := map i | 0 <= i < 10 :: i * 2;
assert 0 in x;
assert 1 in x;
assert 10 !in x;
assert x[0] == 0 && x[2] == 4;
}
function domain<U, V>(m: map<U,V>): set<U>
ensures forall i :: i in domain(m) <==> i in m;
{
set s | s in m
}
method m13()
{
var s := {0, 1, 3, 4};
var x := map i | i in s :: i;
assert forall i | i in x :: x[i] == i;
assert domain(x) == s;
}
function union<U, V>(m: map<U,V>, m': map<U,V>): map<U,V>
requires m !! m';
ensures forall i :: i in union(m, m') <==> i in m || i in m';
ensures forall i :: i in m ==> union(m, m')[i] == m[i];
ensures forall i :: i in m' ==> union(m, m')[i] == m'[i];
{
map i | i in (domain(m) + domain(m')) :: if i in m then m[i] else m'[i]
}
method m14()
{
var s, t := {0, 1}, {3, 4};
var x,y := map i | i in s :: i, map i | i in t :: 1+i;
ghost var u := union(x,y);
assert u[1] == 1 && u[3] == 4;
assert domain(u) == {0, 1, 3, 4};
}
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