// Acquire the angle and its measure from the equation
private static KeyValuePair<Angle, double> ExtractFromEquation(AngleEquation eq)
{
NumericValue numeral = null;
Angle angle = null;
// Split the sides
if (eq.lhs is NumericValue)
{
numeral = eq.lhs as NumericValue;
angle = eq.rhs as Angle;
}
else if (eq.rhs is NumericValue)
{
numeral = eq.rhs as NumericValue;
angle = eq.lhs as Angle;
}
if (numeral == null || angle == null) return new KeyValuePair<Angle, double>(null, 0);
// The multiplier must be one for: 2mABC = 45, not acceptable; something weird happened anyway
if (angle.multiplier != 1)
{
return new KeyValuePair<Angle, double>(angle, numeral.DoubleValue * (1.0 / angle.multiplier));
}
return new KeyValuePair<Angle,double>(angle, numeral.DoubleValue);
}
//
// Equals checks that for both sides of this equation is the same as one entire side of the other equation
//
public override bool Equals(object target)
{
AngleEquation thatEquation = target as AngleEquation;
if (thatEquation == null)
{
return(false);
}
//
// Collect all basic terms on the left and right hand sides of both equations.
//
List <GroundedClause> thisLHS = lhs.CollectTerms();
List <GroundedClause> thisRHS = rhs.CollectTerms();
List <GroundedClause> thatLHS = thatEquation.lhs.CollectTerms();
List <GroundedClause> thatRHS = thatEquation.rhs.CollectTerms();
// Check side length counts as a first step.
if (!((thisLHS.Count == thatLHS.Count && thisRHS.Count == thatRHS.Count) ||
(thisLHS.Count == thatRHS.Count && thisLHS.Count == thatLHS.Count)))
{
return(false);
}
// Seek one side equal to one side and then the other equals the other.
// Cannot do this easily with a union / set interection set theoretic approach since an equation may have multiple instances of a value
// In theory, since we always deal with simplified equations, there should not be multiple instances of a particular value.
// So, this should work.
// Note operations like multiplication and substraction have been taken into account.
List <GroundedClause> unionLHS = new List <GroundedClause>(thisLHS);
Utilities.AddUniqueList(unionLHS, thatLHS);
List <GroundedClause> unionRHS = new List <GroundedClause>(thisRHS);
Utilities.AddUniqueList(unionRHS, thatRHS);
// Exact same sides means the union is the same as each list itself
if (unionLHS.Count == thisLHS.Count && unionRHS.Count == thisRHS.Count)
{
return(true);
}
// Check the other combination of sides
unionLHS = new List <GroundedClause>(thisLHS);
Utilities.AddUniqueList(unionLHS, thatRHS);
if (unionLHS.Count != thisLHS.Count)
{
return(false);
}
unionRHS = new List <GroundedClause>(thisRHS);
Utilities.AddUniqueList(unionRHS, thatLHS);
// Exact same sides means the union is the same as each list itself
return(unionRHS.Count == thisRHS.Count);
}
private static bool HandleSimpleAngleEquation(KnownMeasurementsAggregator known, AngleEquation theEq)
{
if (theEq.GetAtomicity() != Equation.BOTH_ATOMIC) return false;
Angle unknownAngle = null;
double angleValue = -1;
if (theEq.lhs is NumericValue)
{
unknownAngle = theEq.rhs as Angle;
angleValue = (theEq.lhs as NumericValue).DoubleValue;
}
else if (theEq.rhs is NumericValue)
{
unknownAngle = theEq.lhs as Angle;
angleValue = (theEq.rhs as NumericValue).DoubleValue;
}
else return false;
//
// (7) Add to the list of knowns
//
return known.AddAngleMeasureDegree(unknownAngle, angleValue);
}
//
// (1) Make a copy
// (2) Collect the equation terms.
// (3) Are all but one known?
// (4) Substitute
// (5) Simplify
// (6) Acquire the unknown and its value.
// (7) Add to the list of knowns.
//
private static bool HandleAngleEquation(KnownMeasurementsAggregator known, List<GroundedClause> clauses, AngleEquation theEq)
{
if (theEq.GetAtomicity() == Equation.BOTH_ATOMIC) return HandleSimpleAngleEquation(known, theEq);
// CTA: Verify this calls the correct Equation deep copy mechanism.
// (1) Make a copy
AngleEquation copy = (AngleEquation)theEq.DeepCopy();
// (2) Collect the equation terms.
List<GroundedClause> left = copy.lhs.CollectTerms();
double[] leftVal = new double[left.Count];
List<GroundedClause> right = copy.rhs.CollectTerms();
double[] rightVal = new double[right.Count];
// (3) Are all but one term known?
int unknownCount = 0;
for (int ell = 0; ell < left.Count; ell++)
{
if (left[ell] is NumericValue) leftVal[ell] = (left[ell] as NumericValue).DoubleValue;
else
{
leftVal[ell] = known.GetAngleMeasure(left[ell] as Angle);
if (leftVal[ell] <= 0) unknownCount++;
}
}
for (int r = 0; r < right.Count; r++)
{
if (right[r] is NumericValue) rightVal[r] = (right[r] as NumericValue).DoubleValue;
else
{
rightVal[r] = known.GetAngleMeasure(right[r] as Angle);
if (rightVal[r] <= 0) unknownCount++;
}
}
// We can't solve for more or less than one unknown.
if (unknownCount != 1) return false;
//
// (4) Substitute
//
for (int ell = 0; ell < left.Count; ell++)
{
if (leftVal[ell] > 0) copy.Substitute(left[ell], new NumericValue(leftVal[ell]));
}
for (int r = 0; r < right.Count; r++)
{
if (rightVal[r] > 0) copy.Substitute(right[r], new NumericValue(rightVal[r]));
}
//
// (5) Simplify
//
AngleEquation simplified = (AngleEquation)GenericInstantiator.Simplification.Simplify(copy);
return HandleSimpleAngleEquation(known, simplified);
}
//
// 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;
}
