/* Fractions.java - Assignment 9.1

Hailey Garcia
    CIS 254
    4/22/2019
    Dave Harden

 */
public class Fraction
{
// data members
private int numerator;
private int denominator;

// parameter-less constructor
public Fraction()
{
numerator = 0;
denominator = 1;
}

// two parameters constructor
public Fraction(int num, int denom)
{
numerator = num;
denominator = denom;
}

// compute and returns addition of two fractions
public Fraction addedTo(Fraction second)
{
int newDenom = this.denominator * second.denominator;
int newNum = (this.numerator * second.denominator)
+ (second.numerator * this.denominator);

Fraction newFraction = new Fraction(newNum, newDenom);
newFraction.simplify();

return newFraction;
}

// compute and returns subtraction of two fractions
public Fraction subtract(Fraction second)
{
int newDenom = this.denominator * second.denominator;
int newNum = (this.numerator * second.denominator)
- (second.numerator * this.denominator);

Fraction newFraction = new Fraction(newNum, newDenom);
newFraction.simplify();

return newFraction;
}

// compute and returns multiplication of two fractions
public Fraction multipliedBy(Fraction second)
{
int newDenom = this.denominator * second.denominator;
int newNum = this.numerator * second.numerator;

Fraction newFraction = new Fraction(newNum, newDenom);
newFraction.simplify();

return newFraction;
}

// compute and returns division of two fractions
public Fraction dividedBy(Fraction second)
{
int newDenom = this.denominator * second.numerator;
int newNum = this.numerator * second.denominator;

Fraction newFraction = new Fraction(newNum, newDenom);
newFraction.simplify();

return newFraction;
}

// compares two Fraction objects for equality and
// returns the boolean result
public boolean isEqualTo(Fraction second)
{
double amount1 = (double) this.numerator / this.denominator;
double amount2 = (double) second.numerator / second.denominator;

return amount1 == amount2;
}

// displays the value of a Fraction object on the screen
// in the form numerator/denominator
public void print()
{
simplify();
System.out.print(numerator + "/" + denominator);
}

// simplify method reduces a fraction

private void simplify()
{
int a = Math.abs(numerator);
int b = Math.abs(denominator);
int temp = a % b;
while(temp > 0)
{
a = b;
b = temp;
temp = a % b;
}

int gcd = b;
numerator /= gcd;
denominator /= gcd;
}
} // end of Fraction class