Read chapters 3 and 4 in Angel's book and skim chapters 3 through 5 in the Red Book.

Do all of the following problems using your Subversion repository that comes with your lab account. Consider placing them in your repository as follows:

    /
        homework
            cmsi371
                src
                    main
                        cpp
                            interactivespinner.cpp
                            retroshooter.cpp
                            spheresandcones.cpp
                            hatchedcircle.cpp
                            forestwalk.cpp
                    resources
                        (images go here)
                    doc
                        homework2.tex

Turn in a hardcopy of your solutions — generated as a PDF from your LaTeX source with all source code attached. Make sure that you do not save any tab characters in your source code, and that there is no line wrapping in your printed submission.

1. Tweak the spinning square program by adding keyboard input. Pressing C should change the color of the square to some random value (don't let it get too close to black), pressing - (the minus key) should "slow down" the spinning and pressing + (the plus key) should speed it up.
2. Write a program that illustrates the operation of the rocket launcher in the old Space Invaders game. That is, allow the user to move a launcher along the bottom of a screen or window and fire rockets with left-button clicks. If the left button is held down, put the launcher in "rapid-fire" mode. If you have time, add a single row of invaders that move back and forth across the top of window but don't fire at you.
3. Write an OpenGL application to animate little spheres being shot out of a cone and falling through a torus.
4. Write an OpenGL application that features a circle moving slowly across the window. The circle should be stippled with a cross hatched pattern. The purpose of this problem is to show you how the stippling is relative to the screen coordinates and not to the object; if done properly, your animation should look funny — sort of like a flashlight being slowly waved across a wallpapered wall.
5. Write an OpenGL application to simulate walking through a grove of trees. The ground should be a very large — okay huge — rectangle on the xz plane, with a grassy texture mapped on it. Randomly place a bunch of trees (maybe 100 or so) on the ground. Each tree can be as simple as a brown cylinder of height 4 and radius 0.5 with a green sphere of radius 3 sitting on top of it. Simulate walking by moving the camera with the arrow keys (or the mouse if you want). The camera should simply hover 3 units above the ground. The up arrow key should walk forward and the left and right arrow keys can make 10 degree turns. Make the scene fairly dark with a small amount of ambient light, but make it look like the viewer is holding a bright flashlight (you'll have GL_SPOT_CUTOFF somewhere in your code).