public static List <GenericInstantiator.EdgeAggregator> InstantiateEquation(GroundedClause clause) { List <GenericInstantiator.EdgeAggregator> newGrounded = new List <GenericInstantiator.EdgeAggregator>(); if (!(clause is SegmentEquation)) { return(newGrounded); } Equation original = clause as Equation; Equation copyEq = (Equation)original.DeepCopy(); FlatEquation flattened = new FlatEquation(copyEq.lhs.CollectTerms(), copyEq.rhs.CollectTerms()); if (flattened.lhsExps.Count != 1 || flattened.rhsExps.Count != 1) { return(newGrounded); } KeyValuePair <int, int> ratio = Utilities.RationalRatio(flattened.lhsExps[0].multiplier, flattened.rhsExps[0].multiplier); if (ratio.Key != -1) { if (ratio.Key <= 2 && ratio.Value <= 2) { SegmentRatio prop = new SegmentRatio((Segment)flattened.lhsExps[0].DeepCopy(), (Segment)flattened.rhsExps[0].DeepCopy()); prop.MakeProportionValueKnown(); List <GroundedClause> antecedent = Utilities.MakeList <GroundedClause>(original); newGrounded.Add(new GenericInstantiator.EdgeAggregator(antecedent, prop, atomAnnotation)); } } return(newGrounded); }
// // (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. // public static bool HandleEquation(KnownMeasurementsAggregator known, List<GroundedClause> clauses, Equation theEq) { if (theEq is AngleEquation) return HandleAngleEquation(known, clauses, theEq as AngleEquation); if (theEq is SegmentEquation) return HandleSegmentEquation(known, clauses, theEq as SegmentEquation); if (theEq is ArcEquation) return HandleArcEquation(known, clauses, theEq as ArcEquation); return false; }
public EquationConstraint(Equation eq) : base() { eqConstraint = eq; }
//private static readonly string NAME = "Simplification"; // // Given an equation, simplify algebraically using the following notions: // A + A = B -> 2A = B // A + B = B + C -> A = C // A + B = 2B + C -> A = B + C // public static Equation Simplify(Equation original) { // Do we have an equation? if (original == null) throw new ArgumentException(); // Is the equation 0 = 0? This should be allowed at it indicates a tautology if (original.lhs.Equals(new NumericValue(0)) && original.rhs.Equals(new NumericValue(0))) { throw new ArgumentException("Should not have an equation that is 0 = 0: " + original.ToString()); } // // Ideally, flattening would: // Remove all subtractions -> adding a negative instead // Distribute subtraction or multiplication over addition // // Flatten the equation so that each side is a sum of atomic expressions Equation copyEq = (Equation)original.DeepCopy(); FlatEquation flattened = new FlatEquation(copyEq.lhs.CollectTerms(), copyEq.rhs.CollectTerms()); //Debug.WriteLine("Equation prior to simplification: " + flattened.ToString()); // Combine terms only on each side (do not cross =) FlatEquation combined = CombineLikeTerms(flattened); //Debug.WriteLine("Equation after like terms combined on both sides: " + combined); // Combine terms across the equal sign FlatEquation across = CombineLikeTermsAcrossEqual(combined); //Debug.WriteLine("Equation after simplifying both sides: " + across); FlatEquation constSimplify = SimplifyForMultipliersAndConstants(across); // // Inflate the equation // Equation inflated = null; GroundedClause singleLeftExp = InflateEntireSide(constSimplify.lhsExps); GroundedClause singleRightExp = InflateEntireSide(constSimplify.rhsExps); if (original is AlgebraicSegmentEquation) { inflated = new AlgebraicSegmentEquation(singleLeftExp, singleRightExp); } else if (original is GeometricSegmentEquation) { inflated = new GeometricSegmentEquation(singleLeftExp, singleRightExp); } else if (original is AlgebraicAngleEquation) { inflated = new AlgebraicAngleEquation(singleLeftExp, singleRightExp); } else if (original is GeometricAngleEquation) { inflated = new GeometricAngleEquation(singleLeftExp, singleRightExp); } else if (original is AlgebraicArcEquation) { inflated = new AlgebraicArcEquation(singleLeftExp, singleRightExp); } else if (original is GeometricArcEquation) { inflated = new GeometricArcEquation(singleLeftExp, singleRightExp); } else if (original is AlgebraicAngleArcEquation) { inflated = new AlgebraicAngleArcEquation(singleLeftExp, singleRightExp); } else if (original is GeometricAngleArcEquation) { inflated = new GeometricAngleArcEquation(singleLeftExp, singleRightExp); } // If simplifying didn't do anything, return the original equation if (inflated.Equals(original)) { return original; } // // 0 = 0 should not be allowable. // if (inflated.lhs.Equals(new NumericValue(0)) && inflated.rhs.Equals(new NumericValue(0))) { return null; } return inflated; }