Test/dafny1/Cubes.dfy


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method Cubes(a: array<int>)
  requires a != null;
  modifies a;
  ensures (forall i :: 0 <= i && i < a.Length ==> a[i] == i*i*i);
{
  var n := 0;
  var c := 0;
  var k := 1;
  var m := 6;
  while (n < a.Length)
    invariant n <= a.Length;
    invariant (forall i :: 0 <= i && i < n ==> a[i] == i*i*i);
    invariant c == n*n*n;
    invariant k == 3*n*n + 3*n + 1;
    invariant m == 6*n + 6;
  {
    a[n] := c;
    c := c + k;
    k := k + m;
    m := m + 6;
    n := n + 1;
  }
}