CSC 333
Homework 1

Assigned Oct. 18, due Nov 6

Write a C or C++ program, using the OpenGL library and programmable shaders, that draws a multi-colored torus (donut) and allows you to move the camera around it in all dimensions: x, y, and z translations, as well as roll, pitch, and yaw rotations. All of these operations should be in camera coordinates, i.e. when you "roll", the image should appear to rotate around the line perpendicular to the screen, not necessarily around the z axis of the torus.

Hints:

• In class on Oct. 21, we developed formulæ for points on the surface of a torus, and started developing formulæ for smooth color interpolation. You can use these.
• I wrote this program by specifying all the vertices and colors and sending them to the GPU once at initialization, then sending a new "model view matrix" to the GPU every time the user made a move. This entails using the glUniformMatrix4fv function, which has a transpose argument that (according to the documentation) "must be GL_FALSE". However, it seems that Angel's matrix class is stored in the opposite order from what OpenGL wants, so to get my program working I needed to use GL_TRUE instead.