// Division
public static IntervalElement /*!*/ operator %(IntervalElement /*!*/ a, IntervalElement /*!*/ b)
{
Contract.Requires(b != null);
Contract.Requires(a != null);
Contract.Ensures(Contract.Result <IntervalElement>() != null);
if (b.inf.IsZero && b.sup.IsZero) // Check division by zero
{
return(IntervalElement.Top);
}
ExtendedInt /*!*/ infinf = a.inf % b.inf;
Contract.Assert(infinf != null);
ExtendedInt /*!*/ infsup = a.inf % b.sup;
Contract.Assert(infsup != null);
ExtendedInt /*!*/ supinf = a.sup % b.inf;
Contract.Assert(supinf != null);
ExtendedInt /*!*/ supsup = a.sup % b.sup;
Contract.Assert(supsup != null);
ExtendedInt inf = ExtendedInt.Inf(infinf, infsup, supinf, supsup);
ExtendedInt sup = ExtendedInt.Sup(infinf, infsup, supinf, supsup);
return(Factory(inf, sup));
}
// Multiplication
public static IntervalElement /*!*/ operator *(IntervalElement /*!*/ a, IntervalElement /*!*/ b)
{
Contract.Requires(b != null);
Contract.Requires(a != null);
Contract.Ensures(Contract.Result <IntervalElement>() != null);
ExtendedInt /*!*/ infinf = a.inf * b.inf;
Contract.Assert(infinf != null);
ExtendedInt /*!*/ infsup = a.inf * b.sup;
Contract.Assert(infsup != null);
ExtendedInt /*!*/ supinf = a.sup * b.inf;
Contract.Assert(supinf != null);
ExtendedInt /*!*/ supsup = a.sup * b.sup;
Contract.Assert(supsup != null);
ExtendedInt /*!*/ inf = ExtendedInt.Inf(infinf, infsup, supinf, supsup);
Contract.Assert(inf != null);
ExtendedInt /*!*/ sup = ExtendedInt.Sup(infinf, infsup, supinf, supsup);
Contract.Assert(sup != null);
return(Factory(inf, sup));
}
/// <summary>
/// The classic, pointwise, meet of intervals
/// </summary>
public override Element /*!*/ NontrivialMeet(Element /*!*/ left, Element /*!*/ right)
{
//Contract.Requires(right != null);
//Contract.Requires(left != null);
Contract.Ensures(Contract.Result <Element>() != null);
IntervalElement /*!*/ leftInterval = (IntervalElement /*!*/)cce.NonNull(left);
IntervalElement /*!*/ rightInterval = (IntervalElement /*!*/)cce.NonNull(right);
ExtendedInt inf = ExtendedInt.Sup(leftInterval.Inf, rightInterval.Inf);
ExtendedInt sup = ExtendedInt.Inf(leftInterval.Sup, rightInterval.Sup);
return(IntervalElement.Factory(inf, sup));
}