22. List Intro

We started learning about lists. (Chapter 22-23 in Picturing Programs.) Picturing Programs can be kind of long-winded in these chapters.

Alternative sources.

Things to know:

• Empty lists: empty-list or (list ) or '()
• empty? : list -> boolean
• (list “a” “b” “c”)
• first: list of Things -> Thing
• rest: list -> list
• Advanced: list* to add to the front of a list
• Contract example: (-> (listof number?) number?)

List processing always begins with a choice (conditional) to see if the list is empty or not. The else clause almost always contains (…. (first the-list) … (rest the-list)…) combined in some way.

Design process

Simplified design process:

1. Write down lists of length 0, 1, and 2, and their results
2. Write a program to get the correct answer with a list of length 0
3. Modify your program to get the correct answer with a list of length 1 (and still have length 0 correct)
4. Modify that program to keep the correct answers and get the length 2 list to give the right answer. This is the step that will usually involve (rest the-list).

Skeleton

The skeleton is very important for list-processing problems. It usually has a form like this:

(define (do-something the-list)
  (cond [(empty? the-list) ...]
        [else 
          (... (first the-list) ...
               (do-something (rest the-list)))]))

Write down a skeleton like that when you are working through a list.