here is my class Fraction

public class Fraction { private int num; private int denom;

public Fraction() { num = 0; denom = 1;

}

public Fraction(int n, int d) { int gcd; if (n != 0) { num = n; denom = d; gcd = getGCD(); if (d < 0) { num = -n / gcd; denom = -d / gcd; } else { num = n / gcd; denom = d / gcd; } } else { num = 0; denom = 1; } }

public Fraction add(Fraction f) { return new Fraction(num * f.denom + denom * f.num, denom * f.denom); }

public Fraction subtract(Fraction f) { return new Fraction(num * f.denom - denom * f.num, denom * f.denom);

}

public Fraction multiply(Fraction f) { return new Fraction(num * f.num, denom * f.denom);

}

public Fraction divide(Fraction f) { return new Fraction(num * f.denom, denom * f.num);

}

public int getNum() { return num;

}

public int getDenom() { return denom;

}

public void setNum(int n) { int gcd; if (n != 0) { num = n; gcd = getGCD(); num /= gcd; denom /= gcd; } else { num = 0; denom = 1; } }

public void setDenom(int d) { int gcd; if (num != 0) { denom = d; gcd = getGCD(); if (denom < 0) { num = -num / gcd; denom = -denom / gcd; } else { num = num / gcd; denom = denom / gcd; } } else { denom = 1; } }

public void print() { System.out.println(" num: " + num + " denom: " + denom);

}

public void update(int n, int d) { int gcd; if (n != 0) { num = n; denom = d; gcd = getGCD(); if (d < 0) { num = -n / gcd; denom = -d / gcd; } else { num = n / gcd; denom = d / gcd; } } else { num = 0; denom = 1; } }

public int[] getCommonDigit() { int[] returnAry; int[] numDigitAry; int[] denomDigitAry; int tmp; int size = 0; tmp = num < 0 ? -num : num; numDigitAry = new int[10]; do { numDigitAry[tmp % 10] = 1; tmp /= 10; } while (tmp != 0); tmp = denom; denomDigitAry = new int[10]; do { denomDigitAry[tmp % 10] = 1; tmp /= 10; } while (tmp != 0); for (int i = 0; i < 10; i++) { if (numDigitAry[i] == 1 && denomDigitAry[i] == 1) { size++; } } returnAry = new int[size]; if (size != 0) { for (int i = 0, j = 0; i < 10; i++) { if (numDigitAry[i] == 1 && denomDigitAry[i] == 1) { returnAry[j] = i; j++; } } } return returnAry; }

protected final int getGCD(int a, int b) { if (b != 0) return getGCD(b, a % b); else return a; }

protected final int getGCD() { int a = num < 0 ? -num : num; int b = denom < 0 ? -denom : denom; int tmp; while (b != 0) { tmp = a % b; a = b; b = tmp; } return a; } -------------------------

A. Update the Fraction class given in the Lecture notes as needed.

B. Create the Point class as required below and update as needed

/**

* Program Name: Point.java

* Discussion: Points and operations

* Date:

*/

class Point {

private Fraction fx;

private Fraction fy;

// Constructors

// Operations

// Displaying

}

D. Write a menu program to first display the exercise information and output as below,

*******************************

* MENU Hw #5 *

* 1. Initializing (2 Points) *

* 2. Placement *

* 3. Moving *

* 4. Flipping *

* 5. Displaying *

* 6. Quit *

*******************************

Select an option (use integer value only): 2

Not a proper call as no Points are available!

*******************************

* MENU Hw #5 *

* 1. Initializing (2 Points) *

* 2. Placement *

* 3. Moving *

* 4. Flipping *

* 5. Displaying *

* 6. Quit *

*******************************

Select an option (use integer value only): 1

Initializing Option --

***************************

* Sub MENU INITIALIZING *

* 1. Creating *

* 2. Updating *

* 3. Returning *

***************************

Select an option (integer only): 2

Not a proper call as no Points are available!

***************************

* Sub MENU INITIALIZING *

* 1. Creating *

* 2. Updating *

* 3. Returning *

***************************

Select an option (integer only): 1

//Enter proper data to build Point objects

***************************

* Sub MENU INITIALIZING *

* 1. Creating *

* 2. Updating *

* 3. Returning *

***************************

Select an option (integer only): 3

Returning to MENU Hw#5

*******************************

* MENU Hw #5 *

* 1. Initializing (2 Points) *

* 2. Placement *

* 3. Moving *

* 4. Flipping *

* 5. Displaying *

* 6. Quit *

*******************************

Select an option (use integer value only): 5

Printing Option --

// Displaying proper values & formats!

*******************************

* MENU Hw #5 *

* 1. Initializing (2 Points) *

* 2. Placement *

* 3. Moving *

* 4. Flipping *

* 5. Displaying *

* 6. Quit *

*******************************

Select an option (use integer value only): 2

Placement Option -

The given Point objects are as follows,

// Assuming the Point objects are as below

Point #1: (1/2, 2/1)

Point #2: (4/1, 1/1)

Which Point to be checked against (1 or 2)? 3

Wrong option!

Which Point to be checked against (1 or 2)? 1

With respective to Point #1, Point #2 is in Quadrant #4!

*******************************

* MENU Hw #5 *

* 1. Initializing (2 Points) *

* 2. Placement *

* 3. Moving *

* 4. Flipping *

* 5. Displaying *

* 6. Quit *

*******************************

Select an option (use integer value only): 2

Placement Option -

The given Point objects are as follows,

// Assuming the Point objects are as below

Point #1: (1/2, 2/1)

Point #2: (4/1, 1/1)

Which Point to be checked against (1 or 2)? 3

Wrong option!

Which Point to be checked against (1 or 2)? 2

With respective to Point #2, Point #1 is in Quadrant #2!

*******************************

* MENU Hw #5 *

* 1. Initializing (2 Points) *

* 2. Placement *

* 3. Moving *

* 4. Flipping *

* 5. Displaying *

* 6. Quit *

*******************************

Select an option (use integer value only): 3

Moving Option -

Which Point to be moved (1 or 2)? 3

Wrong option!

Which Point to be moved (1 or 2)? 1

*****************************

* Sub MENU -- MovingPoint *

* 1. By (frX, frY) *

* 2. By fr *

* 3. Printing *

* 4. Returning *

*****************************

Select an option (use integer value only): 1

// Providing proper values & steps to move!

*****************************

* Sub MENU -- MovingPoint *

* 1. By (frX, frY) *

* 2. By fr *

* 3. Printing *

* 4. Returning *

*****************************

Select an option (use integer value only): 3

// Displaying proper values & formats!

*****************************

* Sub MENU -- MovingPoint *

* 1. By (frX, frY) *

* 2. By fr *

* 3. Printing *

* 4. Returning *

*****************************

Select an option (use integer value only): 2

// Providing proper values & steps to move!

*****************************

* Sub MENU -- MovingPoint *

* 1. By (frX, frY) *

* 2. By fr *

* 3. Printing *

* 4. Returning *

*****************************

Select an option (use integer value only): 3

// Displaying proper values & formats!

*****************************

* Sub MENU -- MovingPoint *

* 1. By (frX, frY) *

* 2. By fr *

* 3. Printing *

* 4. Returning *

*****************************

Select an option (use integer value only): 4

Returning to MENU Hw#5

*******************************

* MENU Hw #5 *

* 1. Initializing (2 Points) *

* 2. Placement *

* 3. Moving *

* 4. Flipping *

* 5. Displaying *

* 6. Quit *

*******************************

Select an option (use integer value only): 4

Flipping Option -

Which Point to be flipped (1 or 2)? 3

Wrong option!

Which Point to be flipped (1 or 2)? 2

****************************

* Sub MENU - FlippingPoint *

* 1. By Y *

* 2. By X *

* 3. By Origin *

* 4. Printing *

* 5. Returning *

****************************

Select an option (use integer value only): 1

// Providing proper values & steps!

****************************

* Sub MENU - FlippingPoint *

* 1. By Y *

* 2. By X *

* 3. By Origin *

* 4. Printing *

* 5. Returning *

****************************

Select an option (use integer value only): 4

// Displaying proper values & formats!

****************************

* Sub MENU - FlippingPoint *

* 1. By Y *

* 2. By X *

* 3. By Origin *

* 4. Printing *

* 5. Returning *

****************************

Select an option (use integer value only): 2

// Providing proper values & steps!

****************************

* Sub MENU - FlippingPoint *

* 1. By Y *

* 2. By X *

* 3. By Origin *

* 4. Printing *

* 5. Returning *

****************************

Select an option (use integer value only): 3

// Providing proper values & steps!

****************************

* Sub MENU - FlippingPoint *

* 1. By Y *

* 2. By X *

* 3. By Origin *

* 4. Printing *

* 5. Returning *

****************************

Select an option (use integer value only): 4

// Displaying proper values & formats!

****************************

* Sub MENU - FlippingPoint *

* 1. By Y *

* 2. By X *

* 3. By Origin *

* 4. Printing *

* 5. Returning *

****************************

Select an option (use integer value only): 5

Returning to MENU Hw #5

*******************************

* MENU Hw #5 *

* 1. Initializing (2 Points) *

* 2. Placement *

* 3. Moving *

* 4. Flipping *

* 5. Displaying *

* 6. Quit *

*******************************

Select an option (use integer value only): 6

Having Fun ...

Hint!

You should at least test your program with the information given below (used as pairs).

Point #1: (1/2, 2/1)

Point #2: (4/1, 1/1)

Point #3: (-1/1, -1/2)

Point #4: (2/1, -2/1)

1. Reminder!

In your program, no GLOBAL DATA are allowed, and you must write all needed functions (no package methods are allowed Except for input/ouput methods).