// 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;
}
}
// 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;
}
// Divides this by number and returns the product
//
// Parameters:
// shared_ptr<AbstractNumber> number divisor
//
// Returns:
// shared_ptr<AbstractNumber> resulting quotient of division
tr1::shared_ptr<AbstractNumber> Exponent::divide(tr1::shared_ptr<AbstractNumber>number){
// Reverses sign if exponent and multiplies
if(number->getName()=="Exponent"){
tr1::shared_ptr<Exponent> givenNumber = tr1::static_pointer_cast<Exponent>(number);
if(givenNumber->getSign()=='-'){
tr1::shared_ptr<AbstractNumber> r(new Exponent(givenNumber->getValue("base"), givenNumber->getValue("power")));
return multiply(r);
}
else{
tr1::shared_ptr<AbstractNumber> nOne(new SmartInteger(-1));
tr1::shared_ptr<AbstractNumber> newPower = givenNumber->getValue("power")->multiply(nOne);
tr1::shared_ptr<AbstractNumber> r(new Exponent(givenNumber->getValue("base"), newPower, givenNumber->getSign()));
return multiply(r);
}
}
// Subtracts 1 from power if base = number
else if(number->toDouble() == base->toDouble()){
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() == "MultExpression")
{
tr1::shared_ptr<MultExpression> MultE = tr1::static_pointer_cast<MultExpression>(number);
vector<tr1::shared_ptr<AbstractNumber> > MultENum = MultE->getNumerator();
vector<tr1::shared_ptr<AbstractNumber> > MultEDem = MultE->getDenominator();
if (MultEDem.size() == 0)
{
tr1::shared_ptr<AbstractNumber> one(new SmartInteger(1));
MultEDem.push_back(one);
}
tr1::shared_ptr<AbstractNumber> reversedMultE(new MultExpression(MultEDem, MultENum, '+'));
return reversedMultE->multiply(shared_from_this());
}
vector< tr1::shared_ptr<AbstractNumber> > NumVector;
tr1::shared_ptr<AbstractNumber> me(new Exponent(base, power, sign));
NumVector.push_back(me);
vector< tr1::shared_ptr<AbstractNumber> > DenVector;
DenVector.push_back(number);
tr1::shared_ptr<AbstractNumber> r(new MultExpression(NumVector, DenVector, this->calcSign(number)));
return r;
}
int main() {
vector< tr1::shared_ptr<AbstractNumber> > ansHistory;
vector<string> expHistory;
bool menuLoop = true;
int input = 0;
int setAns;
cout << "|||| WELCOME ||||" << endl;
cout << "|||| TO OUR ||||" << endl;
cout << "|||| CALCULATOR ||||" << endl;
cout << " _____________________ " << endl;
cout << "| _________________ |" << endl;
cout << "| | 0 | |" << endl;
cout << "| |_________________| |" << endl;
cout << "| ___ ___ ___ ___ |" << endl;
cout << "| | 7 | 8 | 9 | | + | |" << endl;
cout << "| |___|___|___| |___| |" << endl;
cout << "| | 4 | 5 | 6 | | - | |" << endl;
cout << "| |___|___|___| |___| |" << endl;
cout << "| | 1 | 2 | 3 | | x | |" << endl;
cout << "| |___|___|___| |___| |" << endl;
cout << "|_____________________|" << endl;
while (menuLoop)
{
cout << "\nPlease enter one of the options below: " << endl;
cout << "=================================================" << endl;
cout << "1. Compute New Expression |" << endl;
cout << "=================================================" << endl;
cout << "2. Help |" << endl;
cout << "=================================================" << endl;
cout << "3. Review Previous Expressions and Answers |" << endl;
cout << "=================================================" << endl;
cout << "4. Quit |" << endl;
cout << "=================================================\n" << endl;
cin>>input;
if ( !( (1 <= input) && (input <= 4) ) )
{
cin.clear();
while (cin.get() != '\n');
cout << "\nNot a valid menu option. Please enter 1, 2, 3, or 4." << endl;
continue;
}
switch (input)
{
case 1:
{
cin.ignore();
bool keepCompute = true;
while (keepCompute)
{
string input2;
cout << "Enter the expression to compute. (Type 'back' to go back to the main menu)" << endl;
getline(cin, input2);
if(input2 != "")
{
if (input2.find("back") != string::npos)
{
keepCompute = false;
}
else
{
try{
if(input2.rfind("ans") != std::string::npos)
{
unsigned found = input2.rfind("ans");
if (history == "")
history = "0";
input2.replace(found, std::string("ans").length(), "(" + history + ")");
tr1::shared_ptr<AbstractNumber> num(new SumExpression(input2,true));
historyAns = num->simplify();
cout << "Result: \n" << historyAns->toString() << endl;
ansHistory.push_back(historyAns);
history = input2;
expHistory.push_back(history);
}
else
{
tr1::shared_ptr<AbstractNumber> num(new SumExpression(input2,true));
historyAns = num->simplify();
cout << "Result: \n" << historyAns->toString() << endl;
ansHistory.push_back(historyAns);
history = input2;
expHistory.push_back(history);
}
}
catch(exception &msg)
{
cout << "***ERROR: "<< msg.what() << "***" << endl;
}
}
}
else
{
cout << "Result: Invalid Expression\n" << endl;
}
}
break;
}
case 2:
printHelp();
break;
case 3:
if(ansHistory.size() == 0)
{
cout << "Please enter some expressions before viewing this option." << endl;
}
else
{
cout << "The previous answer was: " << historyAns->toString() << endl;
cout << "The previous answer as a decimal: " << historyAns->toDouble() << endl;
cout << "This answer may be used in further calculations by using the keyword 'ans'" << endl;
cout << "\nThe previous expressions and answers calculated are as follows: " << endl;
for(int i=0; i<ansHistory.size(); i++)
{
cout << "(#" << (ansHistory.size()-i) << ")" << "Expression: " << expHistory[i] << endl;
cout << "Answer: " << ansHistory[i]->toString() << "\n" << endl;
}
cout << "To set 'ans' to a previous expressions's answer, please enter the corresponding digit: " << endl;
cin>>setAns;
if(!( (1 <= setAns) && (setAns <= ansHistory.size()) ))
{
cin.clear();
while (cin.get() != '\n');
cout << "\nNot a valid menu option. Please enter 1-10." << endl;
continue;
}
else if(((1 <= setAns) && (setAns <= ansHistory.size()))== 1)
{
history = ansHistory[ansHistory.size() - setAns]->toString();
}
else
{
cout << "\nNot a valid menu option. Please enter 1-10." << endl;
}
}
break;
case 4:
cout << "The calculator will now exit. Thank you!" << endl;
menuLoop = false;
break;
}
}
}