Problem Set 1, CS 257

1. Get Emacs and STk working for you. Demonstrate it by calculating the sin of 1E100 (ten to the power one hundred).

   (Extra credit: do you think your answer is numerically correct? Conduct an experiment to check.)

2. Use Scheme to calculate the average of: 1, 1, 2, 3, 5, 8, 13, 21, 33.

3. format and indent the following properly:

   (+ (* (+ 1 (* (+ 1 (* (+ 1 (* (+ 1 (+ 1 1)) (* (+ 1 1) (+ 1 (+ 1
   1))))) (+ 1 (* (+ 1 (+ 1 1)) (* (+ 1 1) (+ 1 (+ 1 1))))))) (+ 1 (* (+
   1 (* (+ 1 (+ 1 1)) (* (+ 1 1) (+ 1 (+ 1 1))))) (+ 1 (* (+ 1 (+ 1 1))
   (* (+ 1 1) (+ 1 (+ 1 1))))))))) (+ 1 (* (+ 1 (* (+ 1 (* (+ 1 (+ 1 1))
   (* (+ 1 1) (+ 1 (+ 1 1))))) (+ 1 (* (+ 1 (+ 1 1)) (* (+ 1 1) (+ 1 (+ 1
   1))))))) (+ 1 (* (+ 1 (* (+ 1 (+ 1 1)) (* (+ 1 1) (+ 1 (+ 1 1))))) (+
   1 (* (+ 1 (+ 1 1)) (* (+ 1 1) (+ 1 (+ 1 1)))))))))) 1)
   

4. Make a very complicated expression that expresses a calculation of interest to you and indent it properly.

5. Draw a big drawing using the turtle. Just edit a file to have all the commands in it, and draw the thing by loading the file into stk. E-mail the contents of this file as part of your homework. (You can compose the e-mail within emacs using C-x m.)

   Make the drawing really complicated and cute. This is a good way to learn the cut-and-paste features of emacs, and maybe query-replace too. By using these, you should be able to eg easily spell your name in big letters.