public static new List<FigSynthProblem> SubtractShape(Figure outerShape, List<Connection> conns, List<Point> points)
{
// Possible quadrilaterals.
List<Quadrilateral> quads = null;
if (outerShape is ConcavePolygon) quads = Quadrilateral.GetQuadrilateralsFromPoints(outerShape as ConcavePolygon, points);
else quads = Quadrilateral.GetQuadrilateralsFromPoints(points);
List<FigSynthProblem> composed = new List<FigSynthProblem>();
foreach (Quadrilateral quad in quads)
{
// Select only isosceles trapezoids that don't match the outer shape.
if (quad.VerifyIsoscelesTrapezoid() && !quad.HasSamePoints(outerShape as Polygon))
{
IsoscelesTrapezoid isoTrap = new IsoscelesTrapezoid(quad);
SubtractionSynth subSynth = new SubtractionSynth(outerShape, isoTrap);
subSynth.SetOpenRegions(FigSynthProblem.AcquireOpenAtomicRegions(conns, isoTrap.points, isoTrap));
composed.Add(subSynth);
}
}
return FigSynthProblem.RemoveSymmetric(composed);
}
private static List<EdgeAggregator> InstantiateToTheorem(IsoscelesTrapezoid trapezoid, GroundedClause original)
{
List<EdgeAggregator> newGrounded = new List<EdgeAggregator>();
GeometricCongruentAngles gcas1 = new GeometricCongruentAngles(trapezoid.bottomLeftBaseAngle, trapezoid.bottomRightBaseAngle);
GeometricCongruentAngles gcas2 = new GeometricCongruentAngles(trapezoid.topLeftBaseAngle, trapezoid.topRightBaseAngle);
// For hypergraph
List<GroundedClause> antecedent = new List<GroundedClause>();
antecedent.Add(original);
newGrounded.Add(new EdgeAggregator(antecedent, gcas1, annotation));
newGrounded.Add(new EdgeAggregator(antecedent, gcas2, annotation));
return newGrounded;
}
//
// An isosceles trapezoid can use an equation to find the height based on the bases and the side lengths.
//
public static void HandleIsoscelesTrapezoid(KnownMeasurementsAggregator known, IsoscelesTrapezoid isoTrap)
{
isoTrap.CalculateHeight(known);
}