Due: Tuesday, July 18

Please upload your source code files using CSNS. Note that file uploading will be disabled automatically after 11:59PM of the due date, so please turn in your work on time.

1. Write a Point class which has two private double fields x and y, which correspond to the x and y coordinates of a point. Include the following methods in the class:

• (5pt) A constructor which takes no parameters, and set both x and y to zero.
• (5pt) A constructor which takes two parameters, and set x and y to the given values.
• (5pt) A constructor which takes a Point object as parameter, and set x, and y to the coordinates of the given point.
• (10pt) Getter and setter methods for both x and y. For example, getX returns the x coordinate, setX sets the x coordinate to a given value.
• (10pt) A method distance which returns the distance to a given point. Note that this method should take only one parameter, e.g. Point p, not two parameters.
  

2. Re-use your Point class and write a new class Rectangle. Rectangle has two Point fields, lowerLeft and upperRight, which correspond to the two corner points of a rectangle. Include the following methods in the class:

• (5pt) A constructor which takes no parameters. By default the rectangle has two corner points (0,0) and (0,0). Note that in this case the rectangle degenerates to a point, but that's fine.
• (5pt) A constructor which takes two Point parameters.
• (20pt) Methods width, height, perimeter, and area, which return the width, height, perimeter, and area of the rectangle, respectively.
• (15pt) A method isOverlapping, which checks if a rectangle overlaps with a given rectangle. Note that overlapping includes the case where one rectangle is completely inside another rectangle.
  

3. (10pt) Write a GeometryTest class which only has a main method. Inside the main method, create a few Point and Rectangle objects, and properly test all methods of these two classes, including all the constructors.

4. (20pt) [Textbook] 29.21

5. (+30pt) [Textbook] 29.22

HINT: to avoid long switch statement, you may consider using arrays. For example, create an array

String ones[] = { "", "ONE", "TWO", "THREE", "FOUR", "FIVE", "SIX", "SEVEN", "EIGHT", "NINE", "TEN" }

then the string representation of a single digit number n is simply ones[n].