//
// RightAngle(A, B, C), Angle(A, B, X) + Angle(X, B, C) = 90 -> Complementary(Angle(A, B, X), Angle(X, B, C))
//
public static List <EdgeAggregator> InstantiateToComplementary(AngleEquation eq, RightAngle ra, GroundedClause original)
{
List <EdgeAggregator> newGrounded = new List <EdgeAggregator>();
//
// Acquire the two angles from the equation
//
KeyValuePair <int, int> cards = eq.GetCardinalities();
List <GroundedClause> terms = cards.Key == 2 ? eq.lhs.CollectTerms() : eq.rhs.CollectTerms();
List <GroundedClause> singleton = cards.Key == 1 ? eq.lhs.CollectTerms() : eq.rhs.CollectTerms();
Angle angle1 = terms[0] as Angle;
Angle angle2 = terms[1] as Angle;
// Create the resultant angle to compare to the input right angle
Segment shared = angle1.IsAdjacentTo(angle2);
if (!ra.HasSegment(angle1.OtherRayEquates(shared)) || !ra.HasSegment(angle2.OtherRayEquates(shared)))
{
return(newGrounded);
}
// Success, we have correspondence
Complementary comp = new Complementary(angle1, angle2);
List <GroundedClause> antecedent = new List <GroundedClause>();
antecedent.Add(original);
newGrounded.Add(new EdgeAggregator(antecedent, comp, annotation));
return(newGrounded);
}
public static List <EdgeAggregator> InstantiateToComplementary(GroundedClause clause)
{
annotation.active = EngineUIBridge.JustificationSwitch.COMPLEMENTARY_DEFINITION;
List <EdgeAggregator> newGrounded = new List <EdgeAggregator>();
if (clause is AngleEquation)
{
AngleEquation eq = clause as AngleEquation;
//
// Filter only acceptable equations; one side has two values, the other one
//
// Check basic size of the sides
int atomicity = eq.GetAtomicity();
if (atomicity == Equation.BOTH_ATOMIC || atomicity == Equation.NONE_ATOMIC)
{
return(newGrounded);
}
// Now check more involved cardinalities of each side
KeyValuePair <int, int> cards = eq.GetCardinalities();
if (!(cards.Key == 1 && cards.Value == 2) && !(cards.Key == 2 && cards.Value == 1))
{
return(newGrounded);
}
List <GroundedClause> terms = cards.Key == 2 ? eq.lhs.CollectTerms() : eq.rhs.CollectTerms();
List <GroundedClause> singleton = cards.Key == 1 ? eq.lhs.CollectTerms() : eq.rhs.CollectTerms();
// Coefficients need to be 1
foreach (GroundedClause gc in terms)
{
if (gc.multiplier != 1)
{
return(newGrounded);
}
}
// Require the constant to be 90
NumericValue numeral = singleton[0] as NumericValue;
if (numeral == null || Utilities.CompareValues(numeral.IntValue, 90))
{
return(newGrounded);
}
// Require adjacent angles
Angle angle1 = terms[0] as Angle;
Angle angle2 = terms[1] as Angle;
if (angle1.IsAdjacentTo(angle2) == null)
{
return(newGrounded);
}
foreach (RightAngle ra in candidateRightAngles)
{
newGrounded.AddRange(InstantiateToComplementary(eq, ra, ra));
}
foreach (Strengthened streng in candidateStrengthened)
{
newGrounded.AddRange(InstantiateToComplementary(eq, streng.strengthened as RightAngle, streng));
}
candidateAngleEquations.Add(eq);
}
else if (clause is RightAngle)
{
RightAngle newRa = clause as RightAngle;
foreach (AngleEquation eq in candidateAngleEquations)
{
newGrounded.AddRange(InstantiateToComplementary(eq, newRa, newRa));
}
candidateRightAngles.Add(newRa);
}
else if (clause is Strengthened)
{
Strengthened newStreng = clause as Strengthened;
if (!(newStreng.strengthened is RightAngle))
{
return(newGrounded);
}
foreach (AngleEquation eq in candidateAngleEquations)
{
newGrounded.AddRange(InstantiateToComplementary(eq, newStreng.strengthened as RightAngle, newStreng));
}
candidateStrengthened.Add(newStreng);
}
return(newGrounded);
}
