bool lessThan(fraction x, fraction y) // non-member function returning a bool
{ // indicating if x < y
int xDen = x.getDenom();
int yDen = y.getDenom();
int lcm = LCM(xDen, yDen); // same code as add, mostly
int factor1 = lcm / xDen;
int factor2 = lcm / yDen;
return ((x.getNumer() * factor1) < (y.getNumer() * factor2));
}
fraction add(fraction x, fraction y) // non-member function to return a new
{ // fraction containing the sum of two others
int xDen = x.getDenom();
int yDen = y.getDenom();
int lcm = LCM(xDen, yDen); // it would be trivial to implement
int factor1 = lcm / xDen; // reduceMe here if desired.
int factor2 = lcm / yDen;
int num = (x.getNumer() * factor1) + (y.getNumer() * factor2);
fraction z = fraction(num, lcm);
return z;
}
bool operator<(const fraction &a, const fraction &b) {
double ax, ay;
int as;
getFrSpec(a.getNumer(), a.getDenom(), &ax, &ay, &as);
if(as == -1) { ax =- ax; ay =-ay; }
double bx, by;
int bs;
getFrSpec(b.getNumer(), b.getDenom(), &bx, &by, &bs);
if(bs == -1) { bx =- bx; by =-by; }
return (ax < bx || (ax == bx && ay < by));
}
const fraction operator*(const fraction &a, int64_t b) {
if(b < a.getInterimMultOverflowPt()) {
// b < interimMultOverflowPt
return fraction(b * a.getNumer(), a.getDenom());
} else if(b <= a.getFinalMultOverflowPt()) {
// interimMultOverflowPt <= b <= finalMultInterimPt
cerr << "fraction::operator*- an interim overflow has occurred\n";
return fraction(I64_MAX);
} else { // finalMultInterimPt < b
cerr << "fraction::operator*- a final overflow has occurred\n";
return fraction(I64_MAX);
}
}
fraction fraction::operator*(fraction& fr2)
{
int num2,den2,numH,denH;
fraction frH;
fr2.getnd(num2,den2);
numH = num*num2/gcd(num*num2,den*den2);
denH = den*den2/gcd(num*num2,den*den2);
frH.setnd(numH,denH);
return frH;
}
void mixedNumber::copy(const fraction &other)
{
setFraction(other.getNum(), other.getDenom());
}
int main()
{
fraction f1(9,8);
fraction f2(2,3);
fraction result;
cout << "The result starts off at ";
result.print();
cout << endl;
cout << "The product of ";
f1.print();
cout << " and ";
f2.print();
cout << " is ";
result = f1.multipliedBy(f2);
result.print();
cout << endl;
cout << "The quotient of ";
f1.print();
cout << " and ";
f2.print();
cout << " is ";
result = f1.dividedBy(f2);
result.print();
cout << endl;
cout << "The sum of ";
f1.print();
cout << " and ";
f2.print();
cout << " is ";
result = f1.addedTo(f2);
result.print();
cout << endl;
cout << "The difference of ";
f1.print();
cout << " and ";
f2.print();
cout << " is ";
result = f1.subtract(f2);
result.print();
cout << endl;
if (f1.isEqualTo(f2)){
cout << "The two fractions are equal." << endl;
} else {
cout << "The two fractions are not equal." << endl;
}
const fraction f3(12, 8);
const fraction f4(202, 303);
result = f3.multipliedBy(f4);
cout << "The product of ";
f3.print();
cout << " and ";
f4.print();
cout << " is ";
result.print();
cout << endl;
}
mixedNumbersV2::mixedNumbersV2(const fraction &other)
{
numerator=other.getNumerator();
denominator=other.getDenominator();
}
bool fraction::operator>(const fraction &other) {
return this->getReal() > other.getReal();
}