Litteral& Rationnel::operator/(const Rationnel & l) const {
//diviser c'est multiplier par l'inverse
double tmp = (getNumerator()*l.getDenominator())/(getDenominator()*l.getNumerator());
if (isInt(tmp))
return LitteralManager::getInstance().addEntier(static_cast<int>(tmp));
QString s;
s = QString("%1/%2").arg(getNumerator()*l.getDenominator()).arg(getDenominator()*l.getNumerator());
return LitteralManager::getInstance().addRationnel(s);
}
Litteral& Rationnel::operator*(const Rationnel & l) const {
//si le nouveau dénominateur vaut 1, alors on ajoute un entier
double tmp = (getNumerator()*l.getNumerator())/(getDenominator()*l.getDenominator());
if (isInt(tmp))
return LitteralManager::getInstance().addEntier(static_cast<int>(tmp));
//Sinon on fait un rationnel
QString s;
s = QString("%1/%2").arg(getNumerator()*l.getNumerator()).arg(getDenominator()*l.getDenominator());
return LitteralManager::getInstance().addRationnel(s);
}
RationalNumber RationalNumber::operator*(const RationalNumber &r) const {
RationalNumber temp;
if (r.getNumerator() == 0) {
temp.setValue(0,1);
return temp;
}
if (getNumerator() == 0) {
temp.setValue(0,1);
return temp;
}
int a = this->_num;
int b = this->_den;
int c = r._num;
int d = r._den;
int gcd_val = gcd( a, d );
int gcd_val2 = gcd( b, c );
a /= gcd_val;
d /= gcd_val;
b /= gcd_val2;
c /= gcd_val2;
temp._num = a * c;
temp._den = b * d;
return temp;
}
Litteral& Rationnel::operator/(const Entier& l) const {
double tmp = l.getValue()/getValue();
if (isInt(tmp))
return LitteralManager::getInstance().addEntier(static_cast<int>(tmp));
QString s;
s = QString("%1/%2").arg(getNumerator()).arg(getDenominator()*l.getValue());
return LitteralManager::getInstance().addRationnel(s);
}
Litteral& Rationnel::operator*(const Entier& l) const {
double tmp = l.getValue()*getValue();
//Si le double résultant n'a plus de partie décimale, alors on le transforme en entier
if (isInt(tmp))
return LitteralManager::getInstance().addEntier(static_cast<int>(tmp));
//Sinon on ajoute en tant que rationnel comme prévu
QString s;
s = QString("%1/%2").arg(l.getValue()*getNumerator()).arg(getDenominator());
return LitteralManager::getInstance().addRationnel(s);
}
void RationalNumber::invert(void) {
int top = getNumerator();
int bot = getDenominator();
if (top == 0) {
return;
}
setValue(bot, top);
}
Litteral& Rationnel::operator-(const Reel & l) const {
double d = getNumerator() / getDenominator();
return LitteralManager::getInstance().addReel(l.getValue()-d);
}
Litteral& Rationnel::operator-(const Entier& l) const {
QString s;
s = QString("%1/%2").arg(l.getValue()*getDenominator()-getNumerator()).arg(getDenominator());
return LitteralManager::getInstance().addRationnel(s);
}
RationalNumber RationalNumber::getInversion(void) const {
RationalNumber anumber(getDenominator(), getNumerator());
return anumber;
}
