/// <summary>
/// True if these intervals includes the intervals to compare. I.e. if they share a common dimension and μthis(x) <= μsetToCompare(x) for each x in <dimension.minValue, dimension.MaxValue>.
/// Note that equalty is a special case of inclusion. To check for proper inclusion, you woud have to evaluate if this.Includes(setToCompare) && ! this.Equals(setToCompare).
/// </summary>
/// <param name="relationToCompare">Set to compare</param>
/// <returns>True if this set is a subset of setToCompare.</returns>
public bool Includes(IntervalSet setToCompare)
{
IntervalSet isSetToCompare = setToCompare;
if (this.Dimension != isSetToCompare.Dimension)
{
return(false);
}
List <BinaryInterval> binaryInterval = BinaryOperator.BuildBinaryInterval(this, isSetToCompare);
foreach (BinaryInterval operands in binaryInterval)
{
IntervalSet minimum = new IntervalSet(this.Dimension);
BinaryOperator.GetMinMax(operands, ref minimum, true);
//Does the minimum equals operands.Operand2? That is the question
IntervalSet included = new IntervalSet(this.Dimension);
included.AddInterval(new Interval(included, operands.LowerBound, operands.UpperBound, operands.Coefficients2));
if (this.Dimension is IContinuousDimension)
{
//add empty intervals just to pass the check() method
decimal minVal = ((IContinuousDimension)this.Dimension).MinValue;
decimal maxVal = ((IContinuousDimension)this.Dimension).MaxValue;
if (minVal < operands.LowerBound)
{
minimum.AddInterval(new Interval(minimum, minVal, operands.LowerBound, 0));
included.AddInterval(new Interval(included, minVal, operands.LowerBound, 0));
}
if (maxVal > operands.UpperBound)
{
minimum.AddInterval(new Interval(minimum, operands.UpperBound, maxVal, 0));
included.AddInterval(new Interval(included, operands.UpperBound, maxVal, 0));
}
}
if (!minimum.Equals(included))
{
return(false);
}
}
return(true);
}