Build a java project about mandelbrot set and julia set

Part One Define a Complex numbers class. This class should provide (at least): public accessor methods for the real and imaginary parts of the complex number A public method square which squares this complex number A public method modulusSquared which returns the square of the modulus of this complex number A public method add(Complex d) which adds the complex number d to this complex number Part Two Build a GUI application which displays the Mandelbrot Set. You should use a JFrame for the main window and a JPanel for displaying the image. You should provide some text fields to allow the user to see which portion of the complex plane is represented by your display and also to let them change this. I would recommend the portion of the plane stretching from -2 to 2 in the Real Axis and from -1.6 to 1.6 in the Imaginary Axis as the default values. To translate pixel coordinates in your display to points in the complex plane, you will need to know the width and height of your drawing panel. You should also allow the user to set the number of iterations used in the calculation of the set. Try a default value of 100 iterations - use a lower number if the image is rendered too slowly. Part Three Implement an event listener which handles the user click on a point of the Mandelbrot display panel and responds by displaying the Complex number represented by this point in a suitable GUI component. Let's call this complex number the user selected point. Part Four Extend your GUI application with a display for the Julia Set corresponding to the user selected point. For this extra display, fix the portion of the complex plane represented to be the recommended default from Part Two that is: numbers with Real values between -2 to 2 and Imaginary values between -1.6 to 1.6. Draw the Julia Set corresponding to the user selected point in this extra display. At this point your whole GUI should display, a main display showing a portion of the Mandelbrot Set, text fields with data on which portion of the complex plane is being viewed in the main display, the user selected point (if one has been selected) and another display showing the Julia Set for the user selected point (if one has been selected). Part Five Implement a facility to mark certain Julia Set images as favourites. Allow the user to select to display from a list of favourites (the favourites can just be stored temporarily while the application is running, or in a file for future use). Part Six Implement a listener in the main display panel to allow the user to select the portion of the complex plane represented by dragging a rectangular selection with the mouse. This would allow the user to 'zoom in' on the Mandelbrot set image more easily. Make sure that a clear visual representation of the drag rectangle is provided as the user drags the mouse