/// <summary>
/// Figure out which angles we can choose from before the window is shown.
/// </summary>
protected override void OnShow()
{
List <GroundedClause> givens = new List <GroundedClause>();
//Populate list with applicable givens
foreach (GroundedClause gc in currentGivens)
{
GeometryTutorLib.ConcreteAST.SegmentBisector sb = gc as GeometryTutorLib.ConcreteAST.SegmentBisector;
if (sb != null)
{
givens.Add(sb);
}
}
var bisectors = new List <GeometryTutorLib.ConcreteAST.SegmentBisector>();
//Populate list with possible choices
foreach (GeometryTutorLib.ConcreteAST.SegmentBisector sb in parser.backendParser.implied.segmentBisectors)
{
if (!StructurallyContains(givens, sb))
{
bisectors.Add(sb);
}
}
options.ItemsSource = null; //Makes sure the box is graphically updated.
options.ItemsSource = bisectors;
}
public override bool Equals(Object obj)
{
SegmentBisector b = obj as SegmentBisector;
if (b == null)
{
return(false);
}
return(bisector.Equals(b.bisector) && bisected.Equals(b.bisected) && base.Equals(obj));
}
// SegmentBisector has a specific order associated with the intersection segments.
public override bool StructurallyEquals(Object obj)
{
SegmentBisector b = obj as SegmentBisector;
if (b == null)
{
return(false);
}
// The bisector segment
if (!bisector.StructurallyEquals(b.bisector))
{
return(false);
}
// The intersection points
if (!bisected.intersect.StructurallyEquals(b.bisected.intersect))
{
return(false);
}
// The bisected segments
return(bisected.OtherSegment(bisector).StructurallyEquals(b.bisected.OtherSegment(b.bisector)));
}
//
// Take the angle congruence and bisector and create the AngleBisector relation
//
private static List<EdgeAggregator> InstantiateToMedian(Triangle tri, SegmentBisector sb, GroundedClause original)
{
List<EdgeAggregator> newGrounded = new List<EdgeAggregator>();
// The Bisector cannot be a side of the triangle.
if (tri.CoincidesWithASide(sb.bisector) != null) return newGrounded;
// Acquire the intersection segment that coincides with the base of the triangle
Segment triangleBaseCandidate = sb.bisected.OtherSegment(sb.bisector);
Segment triangleBase = tri.CoincidesWithASide(triangleBaseCandidate);
if (triangleBase == null) return newGrounded;
// The candidate base and the actual triangle side must equate exactly
if (!triangleBase.HasSubSegment(triangleBaseCandidate) || !triangleBaseCandidate.HasSubSegment(triangleBase)) return newGrounded;
// The point opposite the base of the triangle must be within the endpoints of the bisector
Point oppPoint = tri.OtherPoint(triangleBase);
if (!sb.bisector.PointLiesOnAndBetweenEndpoints(oppPoint)) return newGrounded;
// -> Median(Segment(V, C), Triangle(A, B, C))
Median newMedian = new Median(sb.bisector, tri);
// For hypergraph
List<GroundedClause> antecedent = new List<GroundedClause>();
antecedent.Add(tri);
antecedent.Add(original);
newGrounded.Add(new EdgeAggregator(antecedent, newMedian, annotation));
return newGrounded;
}
// A _________________ B
// / /
// / \/ /
// / /\ /
// D /________________/ C
//
// Quadrilateral(A, B, C, D), SegmentBisector(Segment(A, C), Segment(B, D)),
// SegmentBisector(Segment(B, D), Segment(A, C)) -> Parallelogram(A, B, C, D)
//
private static List<EdgeAggregator> InstantiateToTheorem(Quadrilateral quad, SegmentBisector sb1, SegmentBisector sb2, GroundedClause originalSB1, GroundedClause originalSB2)
{
List<EdgeAggregator> newGrounded = new List<EdgeAggregator>();
// The two segment bisectors must intersect at the same point
if (!sb1.bisected.intersect.StructurallyEquals(sb2.bisected.intersect)) return newGrounded;
// The bisectors must be part of the other segment bisector.
if (!sb1.bisected.HasSegment(sb2.bisector)) return newGrounded;
if (!sb2.bisected.HasSegment(sb1.bisector)) return newGrounded;
// Do these segment bisectors define the diagonals of the quadrilateral?
if (!sb1.bisector.HasSubSegment(quad.topLeftBottomRightDiagonal) && !sb2.bisector.HasSubSegment(quad.topLeftBottomRightDiagonal)) return newGrounded;
if (!sb1.bisector.HasSubSegment(quad.bottomLeftTopRightDiagonal) && !sb2.bisector.HasSubSegment(quad.bottomLeftTopRightDiagonal)) return newGrounded;
// Determine the CongruentSegments opposing sides and output that.
Strengthened newParallelogram = new Strengthened(quad, new Parallelogram(quad));
// For hypergraph
List<GroundedClause> antecedent = new List<GroundedClause>();
antecedent.Add(quad);
antecedent.Add(originalSB1);
antecedent.Add(originalSB2);
newGrounded.Add(new EdgeAggregator(antecedent, newParallelogram, annotation));
return newGrounded;
}
//
// Take the angle congruence and bisector and create the AngleBisector relation
// \
// \
// B ---------V---------A
// \
// \
// C
//
private static List<EdgeAggregator> InstantiateToDef(Point intersectionPoint, Intersection inter, CongruentSegments cs)
{
List<EdgeAggregator> newGrounded = new List<EdgeAggregator>();
// Does the given point of intersection apply to this actual intersection object
if (!intersectionPoint.Equals(inter.intersect)) return newGrounded;
// The entire segment AB
Segment overallSegment = new Segment(cs.cs1.OtherPoint(intersectionPoint), cs.cs2.OtherPoint(intersectionPoint));
// The segment must align completely with one of the intersection segments
Segment interCollinearSegment = inter.GetCollinearSegment(overallSegment);
if (interCollinearSegment == null) return newGrounded;
// Does this intersection have the entire segment AB
if (!inter.HasSegment(overallSegment)) return newGrounded;
Segment bisector = inter.OtherSegment(overallSegment);
Segment bisectedSegment = inter.GetCollinearSegment(overallSegment);
// Check if the bisected segment extends is the exact same segment as the overall segment AB
if (!bisectedSegment.StructurallyEquals(overallSegment))
{
if (overallSegment.PointLiesOnAndBetweenEndpoints(bisectedSegment.Point1) &&
overallSegment.PointLiesOnAndBetweenEndpoints(bisectedSegment.Point2)) return newGrounded;
}
SegmentBisector newSB = new SegmentBisector(inter, bisector);
// For hypergraph
List<GroundedClause> antecedent = new List<GroundedClause>();
antecedent.Add(inter);
antecedent.Add(cs);
newGrounded.Add(new EdgeAggregator(antecedent, newSB, annotation));
return newGrounded;
}
public static List<EdgeAggregator> InstantiateFromSegmentBisector(InMiddle im, SegmentBisector sb, GroundedClause original)
{
List<EdgeAggregator> newGrounded = new List<EdgeAggregator>();
// Does this bisector apply to this InMiddle? Check point of intersection
if (!im.point.StructurallyEquals(sb.bisected.intersect)) return newGrounded;
// Segments must equate
if (!im.segment.StructurallyEquals(sb.bisected.OtherSegment(sb.bisector))) return newGrounded;
// Create the midpoint
Strengthened newMidpoint = new Strengthened(im, new Midpoint(im));
// For hypergraph
List<GroundedClause> antecedent = Utilities.MakeList<GroundedClause>(original);
antecedent.Add(im);
newGrounded.Add(new EdgeAggregator(antecedent, newMidpoint, annotation));
return newGrounded;
}