;;;; This file is project 1 for CS 314 for Spring 2018
;;;; The assignment is to fill in the definitions below, adding your code where ever
;;;; you see the comment
;; replace this line
;;;; to make each function do what its comments say it should do. You
;;;; may replace such a line with as many lines as you want to. You may
;;;; also add your own functions, as long as each function has a
;;;; comment like the ones below. You may not make any other changes
;;;; to this code.
;;;; see end of file for some examples that will run ONCE THE FUNCTION add-check
;;;; IS FILLED IN
;;;; See the assignment on Sakai for more examples (these may require
;;;; more than add-check to be filled in) and further information,
;;;; including due date.
;;;; code for a program to create closures that generate figures out
;;;; of characters.
;;; figures: a figure is represented by a list of 3 elements: func,
;;; numrows, and numcols where:
;;; func is a function (ie a closure) of two parameters: row, column
;;; that returns the character at the given row and column of the
;;; figure. If row is out of bounds ie row<0 or row>=numrows, or
;;; similarly for col, func returns the character #\. (a period
;;; character)
;;; numrows is the number of rows in the figure
;;; numcols is the number of columns in the figure
;;; The following are functions to create and access a figure. Note that
;;; make-figure adds bounds checking to func
(define (make-figure func numrows numcols)
(list (add-check func numrows numcols) numrows numcols))
(define (figure-func figure) (car figure))
(define (figure-numrows figure)(cadr figure))
(define (figure-numcols figure)(caddr figure))
;;; forn takes three arguments: start and stop, which are numbers, and func
;;; which is a function of one argument.
;;; forn calls func several times, first with the argument start, then with start+1
;;; then … finally with stop. It returns a list of the values of the calls.
;;; If start>stop, forn simply returns the empty list without doing any calls to func.
(define (forn start stop func)
(if (> start stop) ‘()
(let ((first-value (func start)))
(cons first-value (forn (+ 1 start) stop func)))))
;;; range-check takes 4 arguments: row, numrows, col, numcols It checks if
;;; 0 <= row < numrows and similarly for col and numcols. If both row and col are in
;;; range, range-check returns #t. If either are out of range, rangecheck returns #f
(define (range-check row numrows col numcols)
(not (or (< row 0) (< col 0) (>= row numrows) (>= col numcols))))
;;; add-check takes 3 arguments: func, numrows and numcols. func is a
;;; function of two numbers, row and col. add-check returns a new
;;; function, which we will refer to here as func2. Like func, func2 takes
;;; a row number and a column number as arguments. func2 first calls
;;; range-check to do a range check on these numbers against numrows
;;; and numcols. If row or col is out of range func2 returns #\.,
;;; otherwise it returns the result of (func row col). You can think of
;;; func2 as a “safe” version of func, like the function returned by
;;; null-safe in Resources > Scheme > null-safe.scm except that a
;;; “bad”, i.e. out of range, argument to func here will not necessarily
;;; crash scheme the way (car ‘( )) would.
(define (add-check func numrows numcols)
‘ ( ) ;; replace this line
)
;;; display-window prints out the characters that make up a rectangular segment of the figure
;;; startrow and endrow are the first and last rows to print, similarly for startcol and endcol
;;; The last thing display-window does is to call (newline) to print a blank line under the figure.
(define (display-window start-row stop-row start-col stop-col figure)
(forn start-row stop-row
(lambda (r)
(forn start-col stop-col
(lambda (c)
(display ((figure-func figure) r c))))
(newline)))
(newline))
;;; charfig take one argument, a character, and returns a 1-row, 1-column figure consisting of that character
(define (charfig char)
(make-figure (lambda (row col)
char)
1 1))
;;; sw-corner returns a figure that is a size x size square, in which
;;; the top-left to bottom-right diagonal and everything under it is
;;; the chracter * and everything above the diagonal is the space
;;; character
(define (sw-corner size)
(make-figure (lambda (row col)
(if (>= row col)
#\*
#\space))
size
size))
;;; repeat-cols returns a figure made up of nrepeat copies of
;;; figure, appended horizontally (left and right of each other)
(define (repeat-cols nrepeat figure)
(make-figure (lambda (row col)
((figure-func figure) row (modulo col (figure-numcols figure))))
(figure-numrows figure)
(* nrepeat (figure-numcols figure))
;; the function just calls the function that repeat-cols received, but
;; uses modulo to select the right position.
))
;;; repeat-rows returns a figure made up of nrepeat copies
;;; of a figure, appended vertically (above and below each other)
(define (repeat-rows nrepeat figure)
‘ ( ) ;; replace this line
)
;;; append cols returns the figure made by appending figureb to the
;;; right of figurea the number of rows in the resulting figure is the
;;; smaller of the number of rows in figurea and figureb
(define (append-cols figurea figureb)
‘( ) ;; replace this line
)
;;; append-rows returns the figure made by appending figureb below figurea
;;; the number of columns in the resulting figure is the smaller of the number of columns in figurea
;;; and figternb
(define (append-rows figurea figureb)
‘( );; replace this line
)
;;; flip-cols returns a figure that is the left-right mirror image of figure
(define (flip-cols figure)
‘( ) ;;replace this line
)
;;; flip-rows returns a figure that is the up-down mirror image of figure
(define (flip-rows figure)
‘( ) ;; replace this line
)
;;;; some examples thst should work after just add-check is filled in
;;;; above. (Remove the ;’s at the start of the lines below.)
;(define fig1 (sw-corner 4))
;(display-window 0 3 0 3 fig1)
;(define fig2 (repeat-cols 3 fig1))
;(display-window 0 4
; 0 12 fig2