In the Interactions window, type in the number 7, then hit the Enter key. DrRacket gives you back the number 7. This is an example of an atomic expression. We can also write compound expressions, which consist of a left parenthesis, an operator, some more expressions (either atomic or compound), and a right parenthesis. Here are some examples, each conforming to the definition of "expression" by repeatedly applying the two definitions given above. Type each expression into the Interactions window and make sure you understand the results returned by DrRacket.
7
5
(+ 7 5)
(- (+ 7 5) 3)
(* (- (+ 7 5) 3) 2)
(In the third expression, the operator is +, and the two arguments required by the + operator are two numbers, 7 and 5.)
In class on Thursday and Friday we played with some built-in functions in the image library. Add the following line to the Definitions window:
(require 2htdp/image)Now click the Run button. The functions in the image library are now available to your program.
From the Help menu, choose Help Desk. A browser window will open.
Under the Languages heading, choose Teachpacks.
Click on entry number 2.2 (image.ss). Here
you will find a description of all the pre-defined functions (operators) in the
image.ss
library. Notice the search box at the top of the page. Type in
image-width
to find information about that operator. When the DrRacket Helpdesk provides the matches for image-width
, choose the one from "2htdp/image".
Here is an expression that will display a solid red circle of radius 25:
(circle 25 "solid" "red")
Notice that this conforms to the definition of a compound expression. (The operator is circle. The three arguments supplied to the circle operator are a number, 25, and two strings, "solid", and "red".)
In the Interactions window, write a compound expression that will display two solid circles stacked one above the other. Both circles should have a radius of 25. The circle on the top should be red, and the circle on the bottom should be yellow.
Hints: look at the definitions of the operators circle and underlay/offset in the help desk. Note that the following doesnot conform to the definition of a compound expression, and thus is not a valid answer for this problem (there are actuallytwo compound expressions here): (circle 25 "solid" "red") (circle 25 "solid" "yellow")
In the Interactions window, write a compound expression that will display three solid circles each above the other, the top one being red, the middle one being yellow, and the bottom one being green. Use a radius of 25 for all three circles.
Periodically save your work by choosing "Save Definitions" from the DrRacket File menu.
;; traffic-light: string string string -> image ;; consumes three strings representing the colors of the top, middle, and ;; bottom lights and produces an image of a traffic light in those colorsCopy the contract and purpose into the Definitions window. Now write the function definition for traffic-light. (Hint: here is the first line of the function definition, with parameter names top, middle, and bottom:)
(define (traffic-light top middle bottom)
Hit the Run button. If DrRacket reports any errors, try to figure
out what's wrong, make corrections, and hit the Run button again. In the
Interactions window, call the function traffic-light
to create an
image of a traffic light. Call the function with arguments "chartreuse", "magenta", and "brown".
;; bar-graph : number number number -> image ;; consumes three numbers and produces bar graph of results ;; NOTE: background image sized for inputs up to 20 (define (bar-graph num-a num-b num-c) (underlay/offset (underlay/offset (underlay/offset (rectangle 80 80 "solid" "tan") -25 (- 40 (* 1/2 3 num-a)) (rectangle 15 (* 3 num-a) "solid" "red")) 0 (- 40 (* 1/2 3 num-b)) (rectangle 15 (* 3 num-b) "solid" "blue")) 25 (- 40 (* 1/2 3 num-c)) (rectangle 15 (* 3 num-c) "solid" "green")))Copy this code to your Definitions window, then create a cleaner version of it using helper functions and constants. Turn in only your final version (with all helpers and constants). You do not need to include a copy of the original code. Your final version should have the same behavior as the original code (don't embellish it, just clean it up).
Be sure to include a contract and purpose for each helper function.
(sqrt (+ (* 3 3) (* 4 4))) ^^^^^^^ = (sqrt (+ 9 (* 4 4))) ^^^^^^^ = (sqrt (+ 9 16)) ^^^^^^^^ = (sqrt 25) ^^^^^^^^^ = 5Here's the expression:
(/ (- (* 9 3) (double 6)) 2)
where double
is defined as
(define (double n) (* n 2))
Using web-based turnin (see note below), turn in a single file containing all code and documentation for this assignment (i.e. the contents of your Definitions window). Name your file
yourLastName-hw1
For example, if your name is Jane Doe, you would name your file doe-hw1
.
In addition, your name and your wpi ccc username must be listed in a comment at the top of your file. Programs will not be accepted for submission after
5pm on Tuesday, August 30.