The challenge for May is to write a program that uses a generator. It can do anything (some examples you could choose are below). Write tests for your code to make sure it works as you expect.

Then, as a bonus, recreate the program without using a generator. Use the tests you wrote for the generator version to ensure that your new version works the same. Compare the two and see if a generator is worth-while. Does it make the code easier to understand, more useful, more general, etc.? Write tests for your code to make sure that it works as you expect.

Pick one to start, and then see if you can do more.

1. Write a generator function that implements the Python range function (without using range()).

2. Write a generator function that generates prime numbers via the Sieve of Eratosthenes.

3. Write a generator function that given a string, generates all permutations of that string.

4. Write a generator function that generates all Pythagorean Triples starting with (3,4,5).

1. Write a generator the generates coordinates of a two-dimensional random walk and plot N steps or have it run live and continuously. As a bonus, have it return coordinates and a color and display the painting generated. Is it possible to use separate generators for X and Y (think Etch-A-Sketch) and color (i.e. create a generators that use generators)? Also, instead of a random walk, create a generator that uses some other algorithm to return X and Y coordinates.

2. Given an input text (say Mary Shelley's Frankenstein), write a generator that starts with a random word and then follows with a word that follows a randomly picked instance of that word, continuously. Make some poetry and see what fun phrases are emitted. Share them!

For example, let's say I have the text:

"Python is cool and fun. I want to learn to program Python for fun times. I love ice cream and program for a living."

The generator will start with a given random word, for example "and". The next time called it will return with either "fun" or "program". If it then returns "fun", it will next return either "I" or "times", etc.

As a bonus, use a large number of works by the same author, and respect punctuation. The first word returned will always be the first word of a sentence, and when a chosen word ends a sentence, it will return that punctuation.

3. Write a generator that generates noise (randomly generated), and then tones. A tone is just a Sine wave at a specific frequency. Output the sound to the speaker via SimpleAudio using samples of specific duration, or PyAudio using callbacks in real-time.

Expand your program to generate harmonics at different amplitudes (sound is additive, so you can add the results of multiple generators). Finally expand your program to generate notes, perhaps by simply increasing or decreasing amplitude (using a generator again), or by developing a full ADSR amplitude generator.

Record your creation and save to a wave file.