//
// Perform a - (b - c) =
// 1. a - b
// 2. b - c
//
private static List <FigSynthProblem> ConstructGroupedSubtraction(List <ShapeType> shapes)
{
//
// Construct a - b
//
Figure defaultLargeFigure = Figure.ConstructDefaultShape(shapes[0]);
List <FigSynthProblem> aMinusB = SubtractShape(defaultLargeFigure, shapes[1]);
//
// For each of the aMinusB problems, the outer bounds is defined by a shape; subtract the new shape.
//
List <FigSynthProblem> newSynths = new List <FigSynthProblem>();
foreach (FigSynthProblem top in aMinusB)
{
List <FigSynthProblem> bMinusC = SubtractShape(((top as BinarySynthOperation).rightProblem as UnarySynth).figure, shapes[2]);
foreach (FigSynthProblem bc in bMinusC)
{
newSynths.Add(FigSynthProblem.AppendFigureSubtraction(top, bc));
}
}
return(newSynths);
}
//
// (a + b) - c
//
// First append, then subtract from the entire shape.
//
private static List <FigSynthProblem> ConstructAppendThenSubtract(List <ShapeType> shapes)
{
//
// Construct a + b
//
Figure defaultLargeFigure = Figure.ConstructDefaultShape(shapes[0]);
List <FigSynthProblem> aPlusB = AddShape(defaultLargeFigure, shapes[1]);
//
// For each of the aPlusB problems, the outer bounds is defined by the exterior segments / set of points.
//
List <FigSynthProblem> newSynths = new List <FigSynthProblem>();
foreach (FigSynthProblem top in aPlusB)
{
Polygon outerPoly = Polygon.MakePolygon(top.GetExteriorSegments());
List <FigSynthProblem> xMinusC = SubtractShape(outerPoly, shapes[2]);
foreach (FigSynthProblem x in xMinusC)
{
newSynths.Add(FigSynthProblem.AppendFigureSubtraction(top, x));
}
}
return(newSynths);
}