We will now investigate four widely used math equations. Three of these equations are the trigonometric functions; sine, cosine, and tangent, and one is the natural log function. We will parallelize the Taylor series expansion of the trigonometric, and the natural log functions.

The form of the preceding equations lends themselves to easy parallelization, and hence we will be using the programming structure you previously experimented with. We will initially start with the serial representation of the functions, and then proceed to modify/convert said functions to their MPI versions. The unrestrained Pi supercomputer will quickly demolish these equations while using only a few processors. In fact, using the entire super cluster would be overkill in most of the following exercises - much like bringing a heavy machine gun to a fist fight, as they say, but the exercises serve to strengthen the reader's MPI programming skills - albeit employing only a small...