// Return the shared angle in both congruences
public Angle AngleShared(AnglePairRelation relation)
{
if (angle1.Equates(relation.angle1) || angle1.Equates(relation.angle2)) return angle1;
if (angle2.Equates(relation.angle1) || angle2.Equates(relation.angle2)) return angle2;
return null;
}
public override bool Equals(Object obj)
{
AnglePairRelation relation = obj as AnglePairRelation;
if (relation == null)
{
return(false);
}
return((angle1.Equals(relation.angle1) && angle2.Equals(relation.angle2)) ||
(angle1.Equals(relation.angle2) && angle2.Equals(relation.angle1)) && base.Equals(relation));
}
public override bool StructurallyEquals(Object obj)
{
AnglePairRelation relation = obj as AnglePairRelation;
if (relation == null)
{
return(false);
}
return((angle1.StructurallyEquals(relation.angle1) && angle2.StructurallyEquals(relation.angle2)) ||
(angle1.StructurallyEquals(relation.angle2) && angle2.StructurallyEquals(relation.angle1)));
}
// Return the shared angle in both congruences
public Angle AngleShared(AnglePairRelation relation)
{
if (angle1.Equates(relation.angle1) || angle1.Equates(relation.angle2))
{
return(angle1);
}
if (angle2.Equates(relation.angle1) || angle2.Equates(relation.angle2))
{
return(angle2);
}
return(null);
}
private static List<EdgeAggregator> IndirectRelations(CongruentAngles cas, AnglePairRelation relation1, AnglePairRelation relation2)
{
List<EdgeAggregator> newGrounded = new List<EdgeAggregator>();
// Do we have the same type of relation?
if (relation1.GetType() != relation2.GetType()) return newGrounded;
//
// Determine the shared values amongst the relations
//
Angle shared1 = relation1.AngleShared(cas);
if (shared1 == null) return newGrounded;
Angle shared2 = cas.OtherAngle(shared1);
if (!relation2.HasAngle(shared2)) return newGrounded;
Angle otherAngle1 = relation1.OtherAngle(shared1);
Angle otherAngle2 = relation2.OtherAngle(shared2);
// Avoid generating a reflexive relationship
if (otherAngle1.Equates(otherAngle2)) return newGrounded;
//
// Congruent(Angle(1), Angle(3))
//
// The other two angles from the relation pairs are then congruent
GeometricCongruentAngles gcas = new GeometricCongruentAngles(otherAngle1, otherAngle2);
// Avoid direct cyclic congruent angle generation
if (cas.StructurallyEquals(gcas)) return newGrounded;
// Construct hyperedge
List<GroundedClause> antecedent = new List<GroundedClause>();
antecedent.Add(cas);
antecedent.Add(relation1);
antecedent.Add(relation2);
//
// AnglePairRelation(Angle(1), Angle(4)),
// AnglePairRelation(Angle(2), Angle(3)),
//
if (relation1 is Complementary && relation2 is Complementary)
{
Complementary comp1 = new Complementary(shared1, otherAngle2);
Complementary comp2 = new Complementary(shared2, otherAngle1);
newGrounded.Add(new EdgeAggregator(antecedent, comp1, compAnnotation));
newGrounded.Add(new EdgeAggregator(antecedent, comp2, compAnnotation));
}
else if (relation1 is Supplementary && relation2 is Supplementary)
{
Supplementary supp1 = new Supplementary(shared1, otherAngle2);
Supplementary supp2 = new Supplementary(shared2, otherAngle1);
newGrounded.Add(new EdgeAggregator(antecedent, supp1, suppAnnotation));
newGrounded.Add(new EdgeAggregator(antecedent, supp2, suppAnnotation));
}
else
{
throw new ArgumentException("RelationsOfCongruent:: Expected a supplementary or complementary angle, not " + relation1.GetType());
}
newGrounded.Add(new EdgeAggregator(antecedent, gcas, relation1 is Complementary ? compAnnotation : suppAnnotation));
return newGrounded;
}
private static List<EdgeAggregator> DirectRelations(AnglePairRelation relation1, AnglePairRelation relation2)
{
List<EdgeAggregator> newGrounded = new List<EdgeAggregator>();
// Do we have the same type of relation?
if (relation1.GetType() != relation2.GetType()) return newGrounded;
// Acquire the shared angle
Angle shared = relation1.AngleShared(relation2);
if (shared == null) return newGrounded;
Angle otherAngle1 = relation1.OtherAngle(shared);
Angle otherAngle2 = relation2.OtherAngle(shared);
// Avoid generating a reflexive relationship
if (otherAngle1.Equates(otherAngle2)) return newGrounded;
// The other two angles are then congruent
GeometricCongruentAngles gcas = new GeometricCongruentAngles(otherAngle1, otherAngle2);
// Construct hyperedge
List<GroundedClause> antecedent = new List<GroundedClause>();
antecedent.Add(relation1);
antecedent.Add(relation2);
newGrounded.Add(new EdgeAggregator(antecedent, gcas, relation1 is Complementary ? compAnnotation : suppAnnotation));
return newGrounded;
}
