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#include<iostream>
#include<cstdlib>
#include<cmath>
#include<iomanip>
using namespace std;
class Fractions
{
private:
int num,denom;
public:
Fractions();
Fractions(int);
Fractions(int,int);
int numerator();
int denominator();
void display();
Friend istream& operator>>(istream&, Fractions&);
Friend ostream& operator<<(ostream&, Fractions&);
int gcd(int n, int d)
{
int remainder;
while (d != 0)
{
remainder = n % d;
n = d;
d = remainder;
}
return n;
}
};
Fractions::Fractions()
{
num=1, denom=1;
}
Fractions::Fractions(int n)
{
num=n, denom=1;
}
Fractions::Fractions(int n, int d)
{
num = n;
if (d==0)
{
cout << "Error: DIVISON BY ZERO!" << endl;
exit(1); // will terminate the program if user enters 0 as denominator
}
else
denom = d;
}
int Fractions::numerator()
{
return num;
}
int Fractions::denominator()
{
return denom;
}
void Fractions::display()
{
cout << num << "/" << denom;
}
Fractions operator+(Fractions a, Fractions b)
{
int n = a.numerator() * b.denominator() + a.denominator() * b.numerator();
int d = a.denominator() * b.denominator();
Fractions c(n/a.gcd(n,d),d/b.gcd(n,d)); // a/b + c/d = (a * d + b * c) / (b * d)
return c;
}
Fractions operator-(Fractions a, Fractions b)
{
int n = a.numerator() * b.denominator() - a.denominator() * b.numerator();
int d = a.denominator() * b.denominator();
Fractions c(n/a.gcd(n,d),d/b.gcd(n,d)); // a/b - c/d = (a * d - b * c) / (b * d)
return c;
}
Fractions operator*(Fractions a, Fractions b)
{
int n = a.numerator() * b.numerator();
int d = a.denominator() * b.denominator();
Fractions c(n/a.gcd(n,d),d/b.gcd(n,d)); // a/b * c/d = (a * c) / (b * d)
return c;
}
Fractions operator/(Fractions a, Fractions b)
{
int n = a.numerator() * b.denominator();
int d = a.denominator() * b.numerator();
Fractions c(n/a.gcd(n,d),d/b.gcd(n,d)); // (a/b) / (c/d) = (a * d) / (b * c)
return c;
}
istream& operator>>(istream& in, Fractions& f)
{
int n,d;
char x;
in >> n >> x >> d;
Fractions c(n,d);
f=c;
return in;
}
ostream& operator<<(ostream& out, Fractions f)
{
if (f.denominator() == 1)
{
out << f.numerator();
}
else
{
out << f.numerator() << "/" << f.denominator();
}
return out;
}
//Main
int main()
{
Fractions a; // a = 1/1
Fractions b(5); // b = 5/1
Fractions c(6,8); // c = 6/8
cout << "Display fractions (1 will be shown in the denominator): " << endl;
a.display(); //tests display function, does not disregard 1 in the numerator
cout << endl;
b.display();
cout << endl;
c.display();
cout << endl;
cout << "Display fractions properly (1 in the denominator will be omitted): " << endl;
cout << "a=" << a << ", b=" << b << ", c=" << c << endl; //fraction 2/1 will display simply as 2, so should display a=1, b=5, c=6/8
cout << "The numerator of c is " << c.numerator()
<< " and the denominator is " << c.denominator() << endl << endl; //should show 6 then 8
Fractions d;
cout << "Enter a fraction: ";
cin >> d; // tests >> operator
cout << "d=" << d << endl; //should display the fraction user just entered
cout << "c+d=" << c+d << endl; //display reduced fractions as a result
cout << "c-d=" << c-d << endl; //display reduced fractions as a result
cout << "c*d=" << c*d << endl; //display reduced fractions as a result
cout << "c/d=" << c/d << endl; //display reduced fractions as a result
system("PAUSE");
return 0;
}
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