public override bool Equals(Object obj)
{
Midpoint midptObj = obj as Midpoint;
if (midptObj == null)
{
return(false);
}
return(point.Equals(midptObj.point) && segment.Equals(midptObj.segment) && base.Equals(obj));
}
public override bool CanBeStrengthenedTo(GroundedClause gc)
{
Midpoint midpoint = gc as Midpoint;
if (midpoint == null)
{
return(false);
}
return(this.point.StructurallyEquals(midpoint.point) && this.segment.StructurallyEquals(midpoint.segment));
}
public override bool StructurallyEquals(Object obj)
{
Midpoint midptObj = obj as Midpoint;
if (midptObj == null)
{
return(false);
}
return(point.StructurallyEquals(midptObj.point) && segment.StructurallyEquals(midptObj.segment));
}
public static List<EdgeAggregator> InstantiateMidpointTheorem(GroundedClause original, Midpoint midpt)
{
List<EdgeAggregator> newGrounded = new List<EdgeAggregator>();
// Construct 2AM
Multiplication product1 = new Multiplication(new NumericValue(2), new Segment(midpt.point, midpt.segment.Point1));
// Construct 2BM
Multiplication product2 = new Multiplication(new NumericValue(2), new Segment(midpt.point, midpt.segment.Point2));
// 2X = AB
GeometricSegmentEquation newEq1 = new GeometricSegmentEquation(product1, midpt.segment);
GeometricSegmentEquation newEq2 = new GeometricSegmentEquation(product2, midpt.segment);
// For hypergraph
List<GroundedClause> antecedent = Utilities.MakeList<GroundedClause>(original);
newGrounded.Add(new EdgeAggregator(antecedent, newEq1, annotation));
newGrounded.Add(new EdgeAggregator(antecedent, newEq2, annotation));
return newGrounded;
}
private static List<EdgeAggregator> InstantiateFromMidpoint(InMiddle im, Midpoint midpt, GroundedClause original)
{
List<EdgeAggregator> newGrounded = new List<EdgeAggregator>();
// Does this ImMiddle apply to this midpoint?
if (!im.point.StructurallyEquals(midpt.point)) return newGrounded;
if (!im.segment.StructurallyEquals(midpt.segment)) return newGrounded;
// For hypergraph
List<GroundedClause> antecedent = Utilities.MakeList<GroundedClause>(original);
// Backward: Midpoint(M, Segment(A, B)) -> InMiddle(A, M, B)
newGrounded.Add(new EdgeAggregator(antecedent, im, annotation));
//
// Forward: Midpoint(M, Segment(A, B)) -> Congruent(Segment(A,M), Segment(M,B))
//
Segment left = new Segment(midpt.segment.Point1, midpt.point);
Segment right = new Segment(midpt.point, midpt.segment.Point2);
GeometricCongruentSegments ccss = new GeometricCongruentSegments(left, right);
newGrounded.Add(new EdgeAggregator(antecedent, ccss, annotation));
return newGrounded;
}