22. List Intro

An introduction to lists in Racket.

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 or (list ) or '()
  • empty? : list -> boolean
  • (list "a" "b" "c")
  • first: list of Things -> Thing
  • rest: list -> list
  • list* to add to the front of a list
  • cons: adds one item at the front of a list (not needed)
  • 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) and (recursive-call (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.

Last modified August 18, 2023: 2022-2023 End State (7352e87)