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Fractions
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Fractions
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public class Exercise207Fractions implements Comparable
{
private int numerator, denominator;
public Exercise207Fractions()
{
this(1,1); // default values not 0/0 since divide by 0 error
}
public Exercise207Fractions(int n, int d)
{
numerator = n;
denominator = d;
}
public int getNumerator()
{
return numerator;
}
public int getDenominator()
{
return denominator;
}
public void setNumerator(int n)
{
numerator = n;
}
public void setDenominator(int d)
{
denominator = d;
}
public static Exercise207Fractions multiply (Exercise207Fractions f1, Exercise207Fractions f2)
{
Exercise207Fractions result = new Exercise207Fractions();
result.setNumerator((f1.getNumerator())*(f2.getNumerator()));
result.setDenominator((f1.getDenominator())*(f2.getDenominator()));
return result; // does not reduce the fraction
}
/*
public void multiply (Exercise207Fractions f)
{
this.setNumerator(numerator*(f.getNumerator()));
this.setDenominator(denominator*(f.getDenominator()));
reduce(this);
}
*/
public static Exercise207Fractions divide (Exercise207Fractions f1, Exercise207Fractions f2)
{ // dividing fractions is equal to multiplying by the reciprocal
Exercise207Fractions result = new Exercise207Fractions();
f2.reciprocal();
result = Exercise207Fractions.multiply(f1, f2);
f2.reciprocal(); // revert f2 to original
return result; // does not reduce the fraction
}
/*
public void divide (Exercise207Fractions f)
{
f.reciprocal();
this.setNumerator(numerator*(f.getNumerator()));
this.setDenominator(denominator*(f.getDenominator()));
f.reciprocal();
reduce(this);
}
*/
public static Exercise207Fractions add (Exercise207Fractions f1, Exercise207Fractions f2)
{
Exercise207Fractions result = new Exercise207Fractions();
if(f1.getDenominator() == f2.getDenominator())
{
result.setNumerator((f1.getNumerator()+f2.getNumerator()));
result.setDenominator(f1.getDenominator());
}else
{
result.setNumerator( ((f1.getNumerator()*f2.getDenominator())+(f2.getNumerator()*f1.getDenominator())) );
result.setDenominator((f1.getDenominator()*f2.getDenominator()));
}
return result; // does not reduce the fraction
}
public static Exercise207Fractions subtract (Exercise207Fractions f1, Exercise207Fractions f2)
{
Exercise207Fractions result = new Exercise207Fractions();
if(f1.getDenominator() == f2.getDenominator())
{
result.setNumerator((f1.getNumerator()-f2.getNumerator()));
result.setDenominator(f1.getDenominator());
}else
{
result.setNumerator( ((f1.getNumerator()*f2.getDenominator())-(f2.getNumerator()*f1.getDenominator())) );
result.setDenominator((f1.getDenominator()*f2.getDenominator()));
}
return result; // does not reduce the fraction
}
public static Exercise207Fractions reciprocal (Exercise207Fractions f)
{
int temp = f.getNumerator();
f.setNumerator(f.getDenominator());
f.setDenominator(temp);
return f;
}
public void reciprocal ()
{
int temp = this.getNumerator();
numerator = this.getDenominator();
denominator = temp;
}
public double toDouble()
{
double num = numerator;
double den = denominator;
return num/den;
}
public String toFraction()
{
return numerator+ "/" +denominator;
}
public String toString()
{
return "The numerator is " +numerator+ " and the denominator is " +denominator+ ".";
}
public boolean equals(Exercise207Fractions fraction)
{
Exercise207Fractions thisFraction = new Exercise207Fractions (numerator, denominator);
System.out.print("Fraction 1: " +thisFraction.toFraction()+ " is equal to ");
reduce(thisFraction);
System.out.println(thisFraction.toFraction()+ ".");
System.out.print("Fraction 2: " +fraction.toFraction()+ " is equal to ");
reduce(fraction);
System.out.println(fraction.toFraction()+ ".");
if (thisFraction.getNumerator() == fraction.getNumerator() && thisFraction.getDenominator() == fraction.getDenominator())
{
return true;
}else
{
return false;
}
}
public int compareTo(Object o)
{
Exercise207Fractions other = (Exercise207Fractions) o; // casted the object as a fraction
if (this.toDouble() < other.toDouble())
{
return -1;
}else if (this.toDouble() > other.toDouble())
{
return 1;
}else // they are equal
{
return 0;
}
}
public void reduce (Exercise207Fractions f) // would be private void reduce method
{ // have parameters take both f1 and f2, and do the -1 sign swapping here
if((f.getNumerator() <0 && f.getDenominator() <0) || (f.getNumerator() >0 && f.getDenominator() <0))
{ // num and denom is negative
numerator = f.getNumerator()*-1;
denominator = f.getDenominator()*-1;
}
if (f.getNumerator() == 0 || f.getDenominator() == 0)
{
numerator = 0;
denominator = 1;
}else
{
int LCD = f.getDenominator(); // LCD = lowest common denominator
for (int i = 2; i<= LCD; i++) // skips 1 to check
{
if (f.getNumerator()%i == 0 && f.getDenominator()%i == 0)
{ // evenly divides both
numerator = f.getNumerator()/i;
denominator = f.getDenominator()/i;
i = 1; // will add 1 via i++ after so i = 2
LCD = denominator;
}
}
}
}
}