@Override
public AMExpression reduceToSingleFraction() {
AMExpression expr1 = factor1.reduceToSingleFraction();
AMExpression expr2 = factor2.reduceToSingleFraction();
if (expr1 instanceof Fraction) {
AMExpression num1 = ((Fraction) expr1).getNumerator();
AMExpression den1 = ((Fraction) expr1).getDenominator();
if (expr2 instanceof Fraction) {
AMExpression num2 = ((Fraction) expr2).getNumerator();
AMExpression den2 = ((Fraction) expr2).getDenominator();
return new Fraction(new Product(num1, num2), new Product(den1, den2));
}
return new Fraction(new Product(num1, expr2), den1);
}
if (expr2 instanceof Fraction) {
AMExpression num2 = ((Fraction) expr2).getNumerator();
AMExpression den2 = ((Fraction) expr2).getDenominator();
return new Fraction(new Product(num2, expr1), den2);
}
return new Product(expr1, expr2);
}
/** @see com.ogprover.pp.tp.expressions.AMExpression#toString() */
@Override
public String print() {
StringBuilder s = new StringBuilder();
s.append("(");
s.append(factor1.print());
s.append("×");
s.append(factor2.print());
s.append(")");
return s.toString();
}
@Override
public AMExpression toSumOfProducts() {
SumOfProducts sum1 = (SumOfProducts) factor1.toSumOfProducts();
SumOfProducts sum2 = (SumOfProducts) factor2.toSumOfProducts();
SumOfProducts sumToReturn = new SumOfProducts();
HashSet<BigProduct> factors1 = sum1.getTerms();
HashSet<BigProduct> factors2 = sum2.getTerms();
for (BigProduct product1 : factors1)
for (BigProduct product2 : factors2) sumToReturn.addTerm(new BigProduct(product1, product2));
return sumToReturn;
}
@Override
public AMExpression simplifyInOneStep() {
AMExpression f1 = factor1.simplifyInOneStep();
AMExpression f2 = factor2.simplifyInOneStep();
if (f1 instanceof BasicNumber) {
if (f2 instanceof BasicNumber)
return ((BasicNumber) f1).multiply((BasicNumber) f2); // n.n' -> n*n'
if (((BasicNumber) f1).isZero()) return new BasicNumber(0); // 0.a -> 0
if (((BasicNumber) f1).equals(new BasicNumber(1))) return f2; // 1.a -> a
if (((BasicNumber) f1).isNegative())
return new AdditiveInverse(
new Product(((BasicNumber) f1).negate(), f2)); // (-n).a -> -(n.a)
}
if (f2 instanceof BasicNumber) {
if (((BasicNumber) f2).isZero()) return new BasicNumber(0); // a.0 -> 0
if (((BasicNumber) f2).equals(new BasicNumber(1))) return f1; // a.1 -> a
if (((BasicNumber) f2).isNegative())
return new AdditiveInverse(
new Product(((BasicNumber) f2).negate(), f1)); // a.(-n) -> -(n.a)
}
if (f1 instanceof AdditiveInverse) {
if (f2 instanceof AdditiveInverse)
return new Product(
((AdditiveInverse) f1).getExpr(), ((AdditiveInverse) f2).getExpr()); // (-a).(-b) -> a.b
return new AdditiveInverse(
new Product(((AdditiveInverse) f1).getExpr(), f2)); // (-a).b -> -(a.b)
}
if (f2 instanceof AdditiveInverse)
return new AdditiveInverse(
new Product(((AdditiveInverse) f2).getExpr(), f1)); // a.(-b) -> -(a.b)))
if (f1 instanceof Fraction) {
AMExpression numerator = ((Fraction) f1).getNumerator();
AMExpression denominator = ((Fraction) f1).getDenominator();
if (numerator.equals(new BasicNumber(1)) && denominator.equals(f2))
return new BasicNumber(1); // a.(1/a) -> 1
}
if (f2 instanceof Fraction) {
AMExpression numerator = ((Fraction) f2).getNumerator();
AMExpression denominator = ((Fraction) f2).getDenominator();
if (numerator.equals(new BasicNumber(1)) && denominator.equals(f1))
return new BasicNumber(1); // (1/a).a -> 1
}
return new Product(f1, f2);
}
@Override
public boolean equals(Object expr) {
if (!(expr instanceof Product)) return false;
Product prod = (Product) expr;
return (factor1.equals(prod.getFactor1()) && factor2.equals(prod.getFactor2()));
}
/** @see com.ogprover.pp.tp.expressions.AMExpression#getPoints() */
public HashSet<Point> getPoints() {
HashSet<Point> points = new HashSet<Point>();
points.addAll(factor1.getPoints());
points.addAll(factor2.getPoints());
return points;
}
@Override
public double testValue(HashMap<String, FloatCoordinates> coords) {
return factor1.testValue(coords) * factor2.testValue(coords);
}
@Override
public AMExpression replace(HashMap<Point, Point> replacementMap) {
return new Product(factor1.replace(replacementMap), factor2.replace(replacementMap));
}
@Override
public int size() {
return 1 + factor1.size() + factor2.size();
}
@Override
public AMExpression toIndependantVariables(AreaMethodProver prover)
throws UnknownStatementException {
return new Product(
factor1.toIndependantVariables(prover), factor2.toIndependantVariables(prover));
}
@Override
public AMExpression eliminate(Point pt, Vector<Boolean> isLemmaUsed, AreaMethodProver prover)
throws UnknownStatementException {
return new Product(
factor1.eliminate(pt, isLemmaUsed, prover), factor2.eliminate(pt, isLemmaUsed, prover));
}
@Override
public AMExpression uniformize(HashSet<HashSet<Point>> knownCollinearPoints) {
return new Product(
factor1.uniformize(knownCollinearPoints), factor2.uniformize(knownCollinearPoints));
}
/*
* ======================================================================
* ========================== SPECIFIC METHODS ==========================
* ======================================================================
*/
@Override
public boolean containsOnlyFreePoints() {
return (factor1.containsOnlyFreePoints() && factor2.containsOnlyFreePoints());
}