// Multiplies number by this and returns the product
//
// Parameters:
// shared_ptr<AbstractNumber> number number being multiplied
//
// Returns:
// shared_ptr<AbstractNumber> resulting product of multiplication
tr1::shared_ptr<AbstractNumber> Exponent::multiply(tr1::shared_ptr<AbstractNumber> number){
// Checks for simplification if both exponents
number = number->simplify();
if(number->getName() == "Exponent"){
tr1::shared_ptr<Exponent> givenNumber = tr1::static_pointer_cast<Exponent>(number);
if(abs(givenNumber->getValue("base")->toDouble() - base->toDouble()) < 0.000001){
tr1::shared_ptr<AbstractNumber> r(new Exponent(base, power->add(givenNumber->getValue("power")), this->calcSign(number)));
return r;
}
else if (number->getName() == "Radical") {
if (abs(number->getValue("value")->toDouble() - base->toDouble()) < 0.000001 )
{
std::vector< tr1::shared_ptr<AbstractNumber> > SumVector;
tr1::shared_ptr<AbstractNumber> one(new SmartInteger(1));
tr1::shared_ptr<AbstractNumber> invertedRoot(new MultExpression(one, number->getValue("root")->noSign(), number->getValue("root")->getSign()));
SumVector.push_back(power);
SumVector.push_back(invertedRoot);
tr1::shared_ptr<AbstractNumber> power(new SumExpression(SumVector));
tr1::shared_ptr<AbstractNumber> output(new Exponent(number->getValue("value")->noSign(), power, sign));
return output;
}
}
else{
tr1::shared_ptr<AbstractNumber> me(new Exponent(base, power, sign));
tr1::shared_ptr<AbstractNumber> r(new MultExpression(me, number, this->calcSign(number)));
return r;
}
}
// Checks for simplification if number = base
// Adds 1 to exponent
else if(abs(number->toDouble() - base->toDouble()) < 0.000001 ){
tr1::shared_ptr<AbstractNumber> c(new SmartInteger(1));
tr1::shared_ptr<AbstractNumber> r(new Exponent(base, power->add(c), this->calcSign(number)));
return r;
}
else if(number->getName() == "SumExpression" || number->getName() == "MultExpression")
{
return number->multiply(shared_from_this());
}
vector< tr1::shared_ptr<AbstractNumber> > MultVector;
tr1::shared_ptr<AbstractNumber> me(new Exponent(base, power, sign));
MultVector.push_back(me);
MultVector.push_back(number);
tr1::shared_ptr<AbstractNumber> r(new MultExpression(MultVector, '+'));
return r;
}
// Adds number to this and returns the sum
//
// Parameters:
// shared_ptr<AbstractNumber> number number being added
//
// Returns:
// shared_ptr<AbstractNumber> resulting sum of addition
tr1::shared_ptr<AbstractNumber> Exponent::add(tr1::shared_ptr<AbstractNumber> number){
// Checks for cancellation
number = number->simplify();
if(abs(toDouble() - number->toDouble()) < 0.000001 &&
this->getSign() != number->getSign()){
tr1::shared_ptr<AbstractNumber> r(new SmartInteger(0));
return r;
}
// Checks for duplication/simplification
else if(abs(toDouble() - number->toDouble()) < 0.000001 &&
this->getSign() == number->getSign()){
vector< tr1::shared_ptr<AbstractNumber> > MultVector;
tr1::shared_ptr<AbstractNumber> i(new SmartInteger(2));
MultVector.push_back(i);
tr1::shared_ptr<AbstractNumber> me(new Exponent(base, power, sign));
MultVector.push_back(me);
tr1::shared_ptr<AbstractNumber> r(new MultExpression(MultVector, '+'));
return r;
}
//Can't tell if they add or not
else if(number->getName() == "SumExpression" ||
number->getName() == "MultExpression"){
return number->add(shared_from_this());
}
// Duplication necessary for simplification
// Assuming number is in simplest form
// No simplification possible
else{
vector< tr1::shared_ptr<AbstractNumber> > SumVector;
tr1::shared_ptr<AbstractNumber> me(new Exponent(base, power, sign));
SumVector.push_back(me);
SumVector.push_back(number);
tr1::shared_ptr<AbstractNumber> r(new SumExpression(SumVector));
return r;
}
}