Number& Variable::operator/(Number& rhs) {
if (typeid(rhs) == typeid(Variable)) {
Variable * rhsCastVar = dynamic_cast<Variable*>(&rhs);
if (rhsCastVar->var == this->var) {
Number * result = new Integer(1);
delete rhsCastVar;
return *result;
} else {
std::vector<Number*> numbers;
std::vector<char> operators;
numbers.push_back(this);
numbers.push_back(&rhs);
operators.push_back('/');
Number * result = new Placeholder(numbers, operators);
delete rhsCastVar;
return *result;
}
} else if (typeid(rhs) == typeid(Exponent)) {
Exponent * rhsCastExp = dynamic_cast<Exponent*>(&rhs);
if (typeid(rhsCastExp->getBase()) == typeid(Variable)) {
Variable * rhsCastVar = dynamic_cast<Variable*>(&rhsCastExp->getBase());
if (rhsCastVar->var == this->var) {
if (typeid(rhsCastExp->getExponent()) == typeid(Integer)) {
Integer * integer = dynamic_cast<Integer*>(&rhsCastExp->getExponent());
Number * newExpInt = new Integer(integer->getInt() - 1);
Exponent * exponent = new Exponent(*this, *newExpInt);
delete integer;
delete rhsCastVar;
delete rhsCastExp;
return *exponent;
}
}
delete rhsCastVar;
}
delete rhsCastExp;
}
std::vector<Number*> numbers;
std::vector<char> operators;
numbers.push_back(this);
numbers.push_back(&rhs);
operators.push_back('/');
Number * result = new Placeholder(numbers, operators);
return *result;
}
Expression* Logarithm::simplify(){
if(getArgument()->toDecimal() == 0){
throw "Logarithm: log(0); undefined";
}
if(getBase()->toDecimal() == 1){
throw "Logarithm: log_1:x; undefined";
}
if((getBase()->toDecimal() <= 0) || (getArgument()->toDecimal() <= 0)){
throw "Logarithm: negative base and/or argument; non-real result";
}
if(getArgument()->toDecimal() == 1){
Number* zero = new Number(0);
return zero;
}
if(getArgument()->toDecimal() == getBase()->toDecimal()){
Number* one = new Number(1);
return one;
}
if(getArgument()->getName() == "Exponent"){
vector<Expression*> simpLogVec;
Exponent* arg = static_cast<Exponent*>(getArgument());
if(getBase() == arg->getBase()){
return arg->getPower();
}
simpLogVec.push_back(arg->getPower());
Logarithm* newLog = new Logarithm(getBase(),arg->getBase());
simpLogVec.push_back(newLog);
MultiplicationVector* simpLog = new MultiplicationVector(simpLogVec);
return simpLog;
}
if(log10(getArgument()->toDecimal())/log10(getBase()->toDecimal()) == floor(log10(getArgument()->toDecimal())/log10(getBase()->toDecimal()))){
Number* evalLog = new Number(log10(getArgument()->toDecimal())/log10(getBase()->toDecimal()));
return evalLog;
}
return this;
}
// **NOTICE**: In order to avoid circular referencing, this method must be copy and pasted as opposed to
// being inherited from the Number class.
bool Root::operator==(Number& rhs) {
if (typeid(*this) == typeid(rhs)) {
if (typeid(rhs) == typeid(Exponent)) {
Exponent * rhsCast = dynamic_cast<Exponent*>(&rhs);
Exponent * lhsCast = dynamic_cast<Exponent*>(this);
if (rhsCast->getBase() == lhsCast->getBase() && rhsCast->getExponent() == lhsCast->getExponent()) {
return true;
} else {
return false;
}
} else if (typeid(rhs) == typeid(Log)) {
Log * rhsCast = dynamic_cast<Log*>(&rhs);
Log * lhsCast = dynamic_cast<Log*>(this);
if (rhsCast->getBase() == lhsCast->getBase() && rhsCast->getArgument() == lhsCast->getArgument()) {
return true;
} else {
return false;
}
} else if (typeid(rhs) == typeid(Placeholder)) {
Placeholder * rhsCast = dynamic_cast<Placeholder*>(&rhs);
Placeholder * lhsCast = dynamic_cast<Placeholder*>(this);
if (rhsCast->getNumbers().size() == lhsCast->getNumbers().size()) {
for (int i = 0; i < lhsCast->getNumbers().size(); i++) {
bool matched = false;
for (int y = 0; y < rhsCast->getNumbers().size(); y++) {
if (lhsCast[i] == rhsCast[y]) {
matched = true;
}
}
if (!matched) {
return false;
}
}
for (int i = 0; i < lhsCast->getOperators().size(); i++) {
bool matched = false;
for (int y = 0; y < rhsCast->getOperators().size(); y++) {
if (lhsCast->getOperators()[i] == rhsCast->getOperators()[y]) {
if (lhsCast->getOperators()[i] == '-' || lhsCast->getOperators()[i] == '/') {
if (lhsCast->getNumbers()[i] == rhsCast->getNumbers()[y] && lhsCast->getNumbers()[i+1] == rhsCast->getNumbers()[y+1]) {
matched = true;
} else {
matched = false;
}
} else {
if (lhsCast->getNumbers()[i] == rhsCast->getNumbers()[y] && lhsCast->getNumbers()[i+1] == rhsCast->getNumbers()[y+1]) {
matched = true;
} else if (lhsCast->getNumbers()[i+1] == rhsCast->getNumbers()[y] && lhsCast->getNumbers()[i] == rhsCast->getNumbers()[y+1]) {
matched = true;
} else {
matched = false;
}
}
}
}
if (!matched) {
return false;
}
}
return true;
} else {
return false;
}
} else if (typeid(rhs) == typeid(Root)) {
Root * rhsCast = dynamic_cast<Root*>(&rhs);
Root * lhsCast = dynamic_cast<Root*>(this);
if (rhsCast->getBase() == lhsCast->getBase() && rhsCast->getRoot() == lhsCast->getRoot()) {
return true;
} else {
return false;
}
} else if (typeid(rhs) == typeid(Integer)) {
Integer * rhsCast = dynamic_cast<Integer*>(&rhs);
Integer * lhsCast = dynamic_cast<Integer*>(this);
if (rhsCast->getInt() == lhsCast->getInt()) {
return true;
} else {
return false;
}
} else if (typeid(rhs) == typeid(Variable)) {
Variable * rhsCast = dynamic_cast<Variable*>(&rhs);
Variable * lhsCast = dynamic_cast<Variable*>(this);
if (lhsCast->getVariable() == rhsCast->getVariable()) {
return true;
} else {
return false;
}
} else {
return false;
}
} else {
return false;
}
}
Number& Placeholder::operator+(Number& rhs) {
if (typeid(rhs) == typeid(Placeholder)) {
Placeholder * rhsCast = dynamic_cast<Placeholder*>(&rhs);
std::vector<Number*> rhsNumberList = rhsCast->getNumbers();
std::vector<char> rhsOperatorList = rhsCast->getOperators();
for (int i = 0; i < rhsNumberList.capacity(); i++) {
Number * addition = &(*this + *rhsNumberList[i]);
if (typeid(addition) == typeid(Placeholder)) {
Placeholder * tempPlaceholder = dynamic_cast<Placeholder*>(addition);
this->numbers = &tempPlaceholder->getNumbers();
this->operators = &tempPlaceholder->getOperators();
} else {
this->numbers->clear();
this->operators->clear();
this->numbers->push_back(addition);
}
}
if (this->numbers->capacity() == 1) {
return *this->numbers->at(0);
} else {
return *this;
}
} else if (typeid(rhs) == typeid(Exponent)) {
Exponent * rhsCast = dynamic_cast<Exponent*>(&rhs);
for (int i = 0; i < this->numbers->capacity(); i++) {
if (i != 0 && this->operators->at(i-1) == '/') {
break;
} else if ((i == 0 && this->operators->at(0) == '/') || (i != 0 && this->operators->at(i - 1) == '/')) {
Number * toAdd = &(*this->numbers->at(i + 1) * *rhsCast);
Number * result = &(*this->numbers->at(i) + *toAdd);
return *result;
} else if (typeid(this->numbers[i]) == typeid(Exponent)) {
Exponent * lhsCast = dynamic_cast<Exponent*>(this->numbers->at(i));
if (this->operators->at(i) == '*' || (i != 0 && this->operators->at(i-1) == '*')) {
this->numbers->push_back(&rhs);
this->operators->push_back('+');
delete rhsCast;
delete lhsCast;
return *this;
} else if (lhsCast->getBase() == rhsCast->getBase() && lhsCast->getExponent() == rhsCast->getExponent()){
this->numbers->insert(this->numbers->begin() + i - 1, new Integer(2));
this->operators->insert(this->operators->begin() + i - 2, '*');
delete rhsCast;
delete lhsCast;
return *this;
}
} else if (i == this->numbers->capacity() - 1) {
this->numbers->push_back(&rhs);
this->operators->push_back('+');
delete rhsCast;
return *this;
}
}
} else if (typeid(rhs) == typeid(Integer)) {
Integer * rhsCast = dynamic_cast<Integer*>(&rhs);
for (int i = 0; i < this->numbers->capacity(); i++) {
if (i != 0 && this->operators->at(i-1) == '/') {
break;
} else if ((i == 0 && this->operators->at(0) == '/') || (i != 0 && this->operators->at(i - 1) == '/')) {
Number * toAdd = &(*this->numbers->at(i + 1) * *rhsCast);
Number * result = &(*this->numbers->at(i) + *toAdd);
return *result;
} else if (typeid(this->numbers[i]) == typeid(Exponent)) {
Integer * lhsCast = dynamic_cast<Integer*>(this->numbers->at(i));
this->numbers->assign(i, new Integer(lhsCast->getInt() + rhsCast->getInt()));
return *this;
} else if (i == this->numbers->capacity() - 1) {
this->numbers->push_back(&rhs);
this->operators->push_back('+');
delete rhsCast;
return *this;
}
}
} else if (typeid(rhs) == typeid(Log)) {
Log * rhsCast = dynamic_cast<Log*>(&rhs);
for (int i = 0; i < this->numbers->capacity(); i++) {
if (i != 0 && this->operators->at(i-1) == '/') {
break;
} else if ((i == 0 && this->operators->at(0) == '/') || (i != 0 && this->operators->at(i - 1) == '/')) {
Number * toAdd = &(*this->numbers->at(i + 1) * *rhsCast);
Number * result = &(*this->numbers->at(i) + *toAdd);
return *result;
} else if (typeid(this->numbers[i]) == typeid(Log)) {
Log * lhsCast = dynamic_cast<Log*>(this->numbers->at(i));
if (this->operators->at(i) == '*' || (i != 0 && this->operators->at(i-1) == '*')) {
this->numbers->push_back(&rhs);
this->operators->push_back('+');
delete rhsCast;
delete lhsCast;
return *this;
} else if (lhsCast->getBase() == rhsCast->getBase() && lhsCast->getArgument() == rhsCast->getArgument()){
this->numbers->insert(this->numbers->begin() + i - 1, new Integer(2));
this->operators->insert(this->operators->begin() + i - 2, '*');
delete rhsCast;
delete lhsCast;
return *this;
}
} else if (i == this->numbers->capacity() - 1) {
this->numbers->push_back(&rhs);
this->operators->push_back('+');
delete rhsCast;
return *this;
}
}
} else if (typeid(rhs) == typeid(Root)) {
Root * rhsCast = dynamic_cast<Root*>(&rhs);
for (int i = 0; i < this->numbers->capacity(); i++) {
if (i != 0 && this->operators->at(i-1) == '/') {
break;
} else if ((i == 0 && this->operators->at(0) == '/') || (i != 0 && this->operators->at(i - 1) == '/')) {
Number * toAdd = &(*this->numbers->at(i + 1) * *rhsCast);
Number * result = &(*this->numbers->at(i) + *toAdd);
return *result;
} else if (typeid(this->numbers[i]) == typeid(Root)) {
Root * lhsCast = dynamic_cast<Root*>(this->numbers->at(i));
if (this->operators->at(i) == '*' || (i != 0 && this->operators->at(i-1) == '*')) {
this->numbers->push_back(&rhs);
this->operators->push_back('+');
delete rhsCast;
delete lhsCast;
return *this;
} else if (lhsCast->getBase() == rhsCast->getBase() && lhsCast->getRoot() == rhsCast->getRoot()){
this->numbers->insert(this->numbers->begin() + i - 1, new Integer(2));
this->operators->insert(this->operators->begin() + i - 2, '*');
delete rhsCast;
delete lhsCast;
return *this;
}
} else if (i == this->numbers->capacity() - 1) {
this->numbers->push_back(&rhs);
this->operators->push_back('+');
delete rhsCast;
return *this;
}
}
} else if (typeid(rhs) == typeid(Variable)) {
Variable * rhsCast = dynamic_cast<Variable*>(&rhs);
for (int i = 0; i < this->numbers->capacity(); i++) {
if (i != 0 && this->operators->at(i-1) == '/') {
break;
} else if ((i == 0 && this->operators->at(0) == '/') || (i != 0 && this->operators->at(i - 1) == '/')) {
Number * toAdd = &(*this->numbers->at(i + 1) * *rhsCast);
Number * result = &(*this->numbers->at(i) + *toAdd);
return *result;
} else if (typeid(this->numbers[i]) == typeid(Variable)) {
Variable * lhsCast = dynamic_cast<Variable*>(this->numbers->at(i));
if (this->operators->at(i) == '*' || (i != 0 && this->operators->at(i-1) == '*')) {
this->numbers->push_back(&rhs);
this->operators->push_back('+');
delete rhsCast;
delete lhsCast;
return *this;
} else if (lhsCast->getVariable() == rhsCast->getVariable()){
this->numbers->insert(this->numbers->begin() + i - 1, new Integer(2));
this->operators->insert(this->operators->begin() + i - 2, '*');
delete rhsCast;
delete lhsCast;
return *this;
}
} else if (i == this->numbers->capacity() - 1) {
this->numbers->push_back(&rhs);
this->operators->push_back('+');
delete rhsCast;
return *this;
}
}
}
}