more progress on picture.ss; hopefully this is a final version of the internal data definitions
svn: r16132
This commit is contained in:
parent
9b8c2d15cc
commit
c91a9847aa
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@ -1,4 +1,40 @@
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#lang scheme/base
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#|
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improvments/changes wrt to htdp/image:
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- copying and pasting does not introduce jaggies
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- equal comparisions are more efficient
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- added rotation & scaling
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- got rid of pinholes (see the new overlay, beside, and above functions)
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todo: sort out wxme library support (loading in text mode).
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;; when rendering these things in error messages,
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;; they should come out as #<picture: {THE ACTUAL PICTURE}>
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;; (automatically scale them down so they fit)
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;; redex randomized testing: see if normalization produces normalized shapes.
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;; see if normalization always puts things in the right order
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;; need to change error messages to say "the width (second) argument"
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;; by passing "width (second)" to the check-arg function
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From Matthias: (to use to compare with this library)
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You asked about exercises and code snippets for HtDP/2e yesterday. I actually do have a bunch of stuff in
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svn: 2HtDP/SampleCode/
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and they all have good sample contracts. (It is amazing what we can do with kids who have just a few weeks of cs down; I would have never dared to write an editor after six weeks in Algol.)
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|#
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(require scheme/class
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scheme/gui/base
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htdp/error
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@ -35,33 +71,35 @@
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make-ellipse
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make-text
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make-polygon
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make-point)
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(define-struct point (x y) #:transparent)
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;; when rendering these things in error messages,
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;; they should come out as #<picture: {THE ACTUAL PICTURE}>
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;; (automatically scale them down so they fit)
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;; redex randomized testing: see if normalization produces normalized shapes.
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;; see if normalization always puts things in the right order
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;; need to change error messages to say "the width (second) argument"
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;; by passing "width (second)" to the check-arg function
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#|
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From Matthias: (to use to compare with this library)
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make-point
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bring-between)
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You asked about exercises and code snippets for HtDP/2e yesterday. I actually do have a bunch of stuff in
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(define-for-syntax id-constructor-pairs '())
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(define-for-syntax (add-id-constructor-pair a b)
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(set! id-constructor-pairs (cons (list a b) id-constructor-pairs)))
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svn: 2HtDP/SampleCode/
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(define-syntax (define-struct/reg-mk stx)
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(syntax-case stx ()
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[(_ id . rest)
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(let ([build-name
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(λ (fmt)
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(datum->syntax #'id (string->symbol (format fmt (syntax->datum #'id)))))])
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(add-id-constructor-pair (build-name "struct:~a")
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(build-name "make-~a"))
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#'(define-struct id . rest))]))
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and they all have good sample contracts. (It is amazing what we can do with kids who have just a few weeks of cs down; I would have never dared to write an editor after six weeks in Algol.)
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(define-syntax (define-id->constructor stx)
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(syntax-case stx ()
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[(_ fn)
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#`(define (fn x)
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(case x
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#,@(map (λ (x)
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(with-syntax ([(struct: maker) x])
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#`[(struct:) maker]))
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id-constructor-pairs)))]))
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|#
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(define-struct/reg-mk point (x y) #:transparent)
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;
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;; (make-picture shape bb boolean)
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;; NOTE: the shape field is mutated when normalized, as
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;; is the normalized? field.
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(define-struct picture (shape bb normalized?) #:mutable #:transparent)
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(define (make-picture shape bb normalized?) (new picture% [shape shape] [bb bb] [normalized? normalized?]))
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(define (picture-shape p) (send p get-shape))
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(define (picture-bb p) (send p get-bb))
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(define (picture-normalized? p) (send p get-normalized?))
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(define (set-picture-shape! p s) (send p set-shape s))
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(define (set-picture-normalized?! p n?) (send p set-normalized? n?))
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(define (picture-right picture) (bb-right (picture-bb picture)))
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(define (picture-bottom picture) (bb-bottom (picture-bb picture)))
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(define (picture-baseline picture) (bb-baseline (picture-bb picture)))
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(define (picture? p) (is-a? p picture%))
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;; a bb is (bounding box)
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;; (make-bb number number number)
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(define-struct bb (right bottom baseline) #:transparent)
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(define-struct/reg-mk bb (right bottom baseline) #:transparent)
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;; a shape is either:
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;;
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;; the shapes are in the order passed to the overlay or beside,
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;; which means the bottom one should be drawn first so as to appear
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;; underneath the top one.
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(define-struct overlay (top bottom) #:transparent #:omit-define-syntaxes)
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(define-struct/reg-mk overlay (top bottom) #:transparent #:omit-define-syntaxes)
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;;
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;; - (make-translate dx dy shape)
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(define-struct translate (dx dy shape) #:transparent #:omit-define-syntaxes)
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(define-struct/reg-mk translate (dx dy shape) #:transparent #:omit-define-syntaxes)
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;;
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;; - atomic-shape
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;; an atomic-shape is either:
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;; - polygon
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;; - np-atomic-shape
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;; a np-atomic-shape is:
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;;
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;; - (make-ellipse width height angle pen brush)
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(define-struct ellipse (width height angle pen brush) #:transparent #:omit-define-syntaxes)
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;; - (make-ellipse width height angle mode color)
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(define-struct/reg-mk ellipse (width height angle mode color) #:transparent #:omit-define-syntaxes)
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;;
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;; - (make-text string angle font)
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(define-struct text (string angle font) #:omit-define-syntaxes #:transparent)
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;;
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;; - (make-polygon (listof points) angle pen brush)
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(define-struct polygon (points angle pen brush) #:transparent)
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(define-struct/reg-mk text (string angle font) #:omit-define-syntaxes #:transparent)
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;;
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;; - (make-bitmap (is-a?/c bitmap%) angle)
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(define-struct bitmap (bitmap angle))
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(define-struct/reg-mk bitmap (bitmap angle))
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;; a polygon is:
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;;
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;; - (make-polygon (listof points) angle pen brush)
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(define-struct/reg-mk polygon (points mode color) #:transparent #:omit-define-syntaxes
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#:property prop:equal+hash
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(list (λ (a b rec) (polygon-equal? a b rec)) (λ (x y) 42) (λ (x y) 3)))
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;; a normalized-shape (subtype of shape) is either
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;; - (make-overlay normalized-shape simple-shape)
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;; - simple-shape
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;; a simple-shape (subtype of shape) is
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;; - (make-translate dx dy atomic-shape)
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;; - (make-translate dx dy np-atomic-shape)
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;; - polygon
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;; picture-normalized-shape : picture -> normalized-shape
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(define (picture-normalized-shape picture)
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(unless (picture-normalized? picture)
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(set-picture-shape! picture (normalize-shape (picture-shape picture) values))
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(set-picture-normalized?! picture #t))
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(picture-shape picture))
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;; an angle is a number between 0 and 360 (degrees)
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;; normalize-shape : shape (atomic-shape -> void) -> normalized-shape
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(define (polygon-equal? p1 p2 eq-recur)
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(and (eq-recur (polygon-mode p1) (polygon-mode p2))
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(eq-recur (polygon-color p1) (polygon-color p2))
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(let ([p1-points (polygon-points p1)]
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[p2-points (polygon-points p2)])
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(or (and (null? p1-points)
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(null? p2-points))
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(and (not (or (null? p1-points)
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(null? p2-points)))
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(eq-recur (rotate-to-zero (closest-to-zero p1-points) p1-points)
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(rotate-to-zero (closest-to-zero p2-points) p2-points)))))))
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(define (rotate-to-zero zero-p points)
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(let loop ([points points]
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[acc null])
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(cond
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[(equal? (car points) zero-p)
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(append points (reverse acc))]
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[else
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(loop (cdr points)
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(cons (car points) acc))])))
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(define (closest-to-zero points)
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(car (sort points < #:key (λ (p) (+ (point-x p) (point-y p))))))
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;
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;
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;
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; ;; ;; ;;
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; ;; ;;;; ;
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; ; ; ;; ;
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; ;; ;;;;;;;;; ;;;;; ;;;;;; ;;;; ; ;; ;
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; ;; ;; ;;; ;;;; ;; ;; ;; ;;; ;; ;; ;
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; ;; ;; ;;; ;;; ;;;; ;;; ;; ;;;;;; ; ;;;
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; ;; ;; ;;; ;;;;; ;; ;;; ;; ;;; ;;
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; ;; ;; ;;; ;;;;; ;; ;;;;; ;;; ; ; ;; ;;
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; ;; ;; ;;; ;;;;;;;;;; ;;;;;; ;;;; ;; ;;;
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; ;; ;;
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; ;; ;
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; ;;;;
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(define-local-member-name get-shape set-shape get-bb get-normalized? set-normalized get-normalized-shape)
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(define picture%
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(class* snip% (equal<%>)
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(init-field shape bb normalized?)
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(define/public (equal-to? that eq-recur)
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(eq-recur (get-normalized-shape)
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(send that get-normalized-shape)))
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(define/public (equal-hash-code-of y) 42)
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(define/public (equal-secondary-hash-code-of y) 3)
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(define/public (get-shape) shape)
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(define/public (set-shape s) (set! shape s))
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(define/public (get-bb) bb)
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(define/public (get-normalized?) normalized?)
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(define/public (set-normalized? n?) (set! normalized? n?))
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(define/public (get-normalized-shape)
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(unless normalized?
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(set! shape (normalize-shape shape values))
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(set! normalized? #t))
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shape)
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(define/override (copy) (make-picture shape bb normalized?))
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(define/override (draw dc x y left top right bottom dx dy draw-caret?)
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(render-picture this dc x y))
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(define/override (get-extent dc x y [w #f] [h #f] [descent #f] [space #f] [lspace #f] [rspace #f])
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(send (get-the-snip-class-list) add snip-class)
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(let ([bottom (bb-bottom bb)])
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(set-box/f! w (bb-right bb))
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(set-box/f! h bottom)
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(set-box/f! descent (- bottom (bb-baseline bb)))
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(set-box/f! space 0)
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(set-box/f! lspace 0)
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(set-box/f! rspace 0)))
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(define/override (write f)
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(send f put (string->bytes/utf-8 (format "~s" (list shape bb)))))
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(super-new)
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(inherit set-snipclass)
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(set-snipclass snip-class)))
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(define scheme/base:read read)
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(define picture-snipclass%
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(class snip-class%
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(define/override (read f)
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(let* ([str (bytes->string/utf-8 (send f get-unterminated-bytes))]
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[lst (parse
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(scheme/base:read
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(open-input-string
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str)))])
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(if lst
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(make-picture (list-ref lst 0)
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(list-ref lst 1)
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#f)
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(rectangle 20 20 'solid 'black))))
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(super-new)))
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(provide snip-class)
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(define snip-class (new picture-snipclass%))
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(send snip-class set-classname (format "~s" '(lib "picture.ss" "2htdp/private")))
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(send snip-class set-version 1)
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(send (get-the-snip-class-list) add snip-class)
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(define (set-box/f! b v) (when (box? b) (set-box! b v)))
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(define (parse sexp)
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(let/ec k
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(let loop ([sexp sexp])
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(cond
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[(pair? sexp) (cons (loop (car sexp)) (loop (cdr sexp)))]
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[(vector? sexp)
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(if (= (vector-length sexp) 0)
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(k #f)
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(let ([constructor (id->constructor (vector-ref sexp 0))]
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[args (cdr (vector->list sexp))])
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(if (and constructor
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(procedure-arity-includes? constructor (length args)))
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(apply constructor (map loop args))
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(k #f))))]
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[else sexp]))))
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(define-id->constructor id->constructor)
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;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
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;; normalize-shape : shape (atomic-shape -> atomic-shape) -> normalized-shape
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;; normalizes 'shape', calling 'f' on each atomic shape in the normalized shape.
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(define (normalize-shape shape [f values])
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(let loop ([shape shape]
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@ -153,11 +336,23 @@ and they all have good sample contracts. (It is amazing what we can do with kids
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dx dy
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(loop (overlay-top shape)
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dx dy bottom))]
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[(atomic-shape? shape)
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(let ([this-one (make-translate dx dy shape)])
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[(polygon? shape)
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(let ([this-one (make-polygon (map (λ (p)
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(make-point (+ dx (point-x p))
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(+ dy (point-y p))))
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(polygon-points shape))
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(polygon-mode shape)
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(polygon-color shape))])
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(if bottom
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(make-overlay bottom (f this-one))
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(f this-one)))])))
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(f this-one)))]
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[(np-atomic-shape? shape)
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(let ([this-one (make-translate dx dy shape)])
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(if bottom
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(make-overlay bottom (f this-one))
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(f this-one)))]
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[else
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(error 'normalize-shape "unknown shape ~s\n" shape)])))
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(define (atomic-shape? shape)
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(or (ellipse? shape)
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|
@ -165,10 +360,14 @@ and they all have good sample contracts. (It is amazing what we can do with kids
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(polygon? shape)
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(bitmap? shape)))
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(define (np-atomic-shape? shape)
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(or (ellipse? shape)
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(text? shape)
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(bitmap? shape)))
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;; rotate-point : x,y theta -> x,y
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;; rotate-point : x,y angle -> x,y
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(define (rotate-point x y θ)
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(c->xy (* (make-polar 1 θ)
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(c->xy (* (make-polar 1 (degrees->radians θ))
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(xy->c x y))))
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(define (xy->c x y) (make-rectangular x (- y)))
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|
@ -176,10 +375,6 @@ and they all have good sample contracts. (It is amazing what we can do with kids
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(values (real-part c)
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(- (imag-part c))))
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(define (picture-right picture) (bb-right (picture-bb picture)))
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(define (picture-bottom picture) (bb-bottom (picture-bb picture)))
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(define (picture-baseline picture) (bb-baseline (picture-bb picture)))
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;
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;
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|
@ -282,20 +477,32 @@ and they all have good sample contracts. (It is amazing what we can do with kids
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'non-negative-number
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i arg)
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arg]
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[(dx dy angle)
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[(dx dy)
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(check-arg fn-name
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(number? arg)
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'number
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i arg)
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arg]
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[(angle)
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(check-arg fn-name
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(and (number? arg)
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(<= 0 arg)
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(< arg 360))
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'angle\ in\ degrees
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i arg)
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arg]
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[(color)
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(check-color fn-name i arg)
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(cond
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[(symbol? arg)
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(send the-color-database find-color (symbol->string arg))]
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[(string? arg)
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(send the-color-database find-color arg)]
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[else arg])]
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(let ([color-str
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(cond
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[(symbol? arg)
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(symbol->string arg)]
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[(string? arg)
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(symbol->string arg)]
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[else arg])])
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(if (send the-color-database find-color color-str)
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color-str
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"black"))]
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[else
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(error 'check "the function ~a has an argument with an unknown name: ~s"
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fn-name
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|
@ -358,7 +565,7 @@ and they all have good sample contracts. (It is amazing what we can do with kids
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;; render-picture : normalized-shape dc dx dy -> void
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(define (render-picture picture dc dx dy)
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(let loop ([shape (picture-normalized-shape picture)])
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(let loop ([shape (send picture get-normalized-shape)])
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(cond
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[(overlay? shape)
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(render-simple-shape (overlay-bottom shape) dc dx dy)
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|
@ -366,56 +573,59 @@ and they all have good sample contracts. (It is amazing what we can do with kids
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[else
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(render-simple-shape shape dc dx dy)])))
|
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|
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(define (render-simple-shape shape dc dx dy)
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(let ([dx (+ dx (translate-dx shape))]
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[dy (+ dy (translate-dy shape))]
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[atomic-shape (translate-shape shape)])
|
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(cond
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[(ellipse? atomic-shape)
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(let ([path (new dc-path%)]
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[θ (ellipse-angle atomic-shape)])
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(send path ellipse 0 0 (ellipse-width atomic-shape) (ellipse-height atomic-shape))
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(send path rotate θ)
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(send dc set-pen (ellipse-pen atomic-shape))
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(send dc set-brush (ellipse-brush atomic-shape))
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(send dc draw-path path dx dy))]
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[(polygon? atomic-shape)
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(let ([path (new dc-path%)]
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[points (polygon-points atomic-shape)]
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[θ (polygon-angle atomic-shape)])
|
||||
(send path move-to (point-x (car points)) (point-y (car points)))
|
||||
(let loop ([points (cdr points)])
|
||||
(unless (null? points)
|
||||
(send path line-to (point-x (car points)) (point-y (car points)))
|
||||
(loop (cdr points))))
|
||||
(send path line-to (point-x (car points)) (point-y (car points)))
|
||||
(send path rotate θ)
|
||||
(send dc set-pen (polygon-pen atomic-shape))
|
||||
(send dc set-brush (polygon-brush atomic-shape))
|
||||
(send dc draw-path path dx dy))]
|
||||
[(text? atomic-shape)
|
||||
(let ([θ (text-angle atomic-shape)])
|
||||
(send dc set-font (text-font atomic-shape))
|
||||
(send dc draw-text (text-string atomic-shape) dx dy #f 0 angle))])))
|
||||
(define (render-simple-shape simple-shape dc dx dy)
|
||||
(cond
|
||||
[(polygon? simple-shape)
|
||||
(let ([path (new dc-path%)]
|
||||
[points (polygon-points simple-shape)])
|
||||
(send path move-to (point-x (car points)) (point-y (car points)))
|
||||
(let loop ([points (cdr points)])
|
||||
(unless (null? points)
|
||||
(send path line-to (point-x (car points)) (point-y (car points)))
|
||||
(loop (cdr points))))
|
||||
(send path line-to (point-x (car points)) (point-y (car points)))
|
||||
(send dc set-pen (mode-color->pen (polygon-mode simple-shape) (polygon-color simple-shape)))
|
||||
(send dc set-brush (mode-color->brush (polygon-mode simple-shape) (polygon-color simple-shape)))
|
||||
(send dc draw-path path dx dy))]
|
||||
[else
|
||||
(let ([dx (+ dx (translate-dx simple-shape))]
|
||||
[dy (+ dy (translate-dy simple-shape))]
|
||||
[atomic-shape (translate-shape simple-shape)])
|
||||
(cond
|
||||
[(ellipse? atomic-shape)
|
||||
(let ([path (new dc-path%)]
|
||||
[θ (degrees->radians (ellipse-angle atomic-shape))])
|
||||
(send path ellipse 0 0 (ellipse-width atomic-shape) (ellipse-height atomic-shape))
|
||||
(send path rotate θ)
|
||||
(send dc set-pen (mode-color->pen (ellipse-mode atomic-shape) (ellipse-color atomic-shape)))
|
||||
(send dc set-brush (mode-color->brush (ellipse-mode atomic-shape) (ellipse-color atomic-shape)))
|
||||
(send dc draw-path path dx dy))]
|
||||
|
||||
[(text? atomic-shape)
|
||||
(let ([θ (degrees->radians (text-angle atomic-shape))])
|
||||
(send dc set-font (text-font atomic-shape))
|
||||
(send dc draw-text (text-string atomic-shape) dx dy #f 0 angle))]))]))
|
||||
|
||||
(define (degrees->radians θ)
|
||||
(* θ 2 pi (/ 360)))
|
||||
|
||||
|
||||
;
|
||||
;
|
||||
;
|
||||
;
|
||||
;
|
||||
; ;; ;; ;;
|
||||
; ;; ;; ;;;
|
||||
; ;;;; ;;;; ;;;;;; ;;; ;;;;; ;; ;; ;;; ;;;; ;;;;; ;;;; ;;;; ;;;;;
|
||||
; ;;;;;; ;;;;;; ;;;;;;;;;; ;;;;;; ;; ;;;;;; ;; ;; ;;;; ;;;;;; ;;;; ;; ;;
|
||||
; ;;; ;;; ;;; ;; ;; ;; ;; ;;; ;; ;; ;; ;;;; ;;; ;;; ;;; ;; ;;;;;
|
||||
; ;;; ;;; ;;; ;; ;; ;; ;; ;;; ;; ;; ;; ;;; ;; ;;; ;;; ;;; ;; ;;;;
|
||||
; ;;;;;; ;;;;;; ;; ;; ;; ;;;;;; ;; ;; ;; ;;; ;; ;;;; ;;;;;; ;; ;; ;;;
|
||||
; ;;;; ;;;; ;; ;; ;; ;; ;; ;; ;; ;; ;;;;;; ;;; ;;;; ;; ;;;;;
|
||||
;
|
||||
;
|
||||
;
|
||||
; ; ; ;
|
||||
;
|
||||
;
|
||||
;
|
||||
; ;;
|
||||
; ;;
|
||||
; ;;
|
||||
; ;;;; ;;; ;;;;;; ;; ; ;; ;;;;; ;;; ;
|
||||
; ;; ;; ;; ;;;; ;; ;;;; ;; ; ;; ;; ;;
|
||||
; ;;; ;; ;;;; ;;;;;; ;; ;; ;;;; ;;;;
|
||||
; ;;; ;; ;;;; ;; ;; ;; ;; ;; ;;;
|
||||
; ;; ;; ;;; ;;; ; ;; ;; ;; ;; ;;;
|
||||
; ;;;; ;; ;;;; ;; ;; ;;;;;;; ;;
|
||||
; ;;
|
||||
; ;
|
||||
; ;;
|
||||
|
||||
|
||||
;; bitmap : string -> picture
|
||||
;; gets one of the bitmaps that comes with drscheme, scales it down by 1/8 or something
|
||||
|
@ -529,6 +739,19 @@ and they all have good sample contracts. (It is amazing what we can do with kids
|
|||
;; like beside, but vertically
|
||||
|
||||
|
||||
;
|
||||
; ;; ;; ;;
|
||||
; ;; ;; ;;;
|
||||
; ;;;; ;;;; ;;;;;; ;;; ;;;;; ;; ;; ;;; ;;;; ;;;;; ;;;; ;;;; ;;;;;
|
||||
; ;;;;;; ;;;;;; ;;;;;;;;;; ;;;;;; ;; ;;;;;; ;; ;; ;;;; ;;;;;; ;;;; ;; ;;
|
||||
; ;;; ;;; ;;; ;; ;; ;; ;; ;;; ;; ;; ;; ;;;; ;;; ;;; ;;; ;; ;;;;;
|
||||
; ;;; ;;; ;;; ;; ;; ;; ;; ;;; ;; ;; ;; ;;; ;; ;;; ;;; ;;; ;; ;;;;
|
||||
; ;;;;;; ;;;;;; ;; ;; ;; ;;;;;; ;; ;; ;; ;;; ;; ;;;; ;;;;;; ;; ;; ;;;
|
||||
; ;;;; ;;;; ;; ;; ;; ;; ;; ;; ;; ;; ;;;;;; ;;; ;;;; ;; ;;;;;
|
||||
;
|
||||
;
|
||||
;
|
||||
|
||||
;; frame : picture -> picture
|
||||
;; draws a black frame around a picture where the bounding box is
|
||||
;; (useful for debugging pictures)
|
||||
|
@ -574,64 +797,95 @@ and they all have good sample contracts. (It is amazing what we can do with kids
|
|||
;; returns the bounding box of 'shape'
|
||||
;; (only called for rotated shapes, so bottom=baseline)
|
||||
(define (simple-bb simple-shape)
|
||||
(let ([dx (translate-dx simple-shape)]
|
||||
[dy (translate-dy simple-shape)]
|
||||
[atomic-shape (translate-shape simple-shape)])
|
||||
(cond
|
||||
[(polygon? atomic-shape)
|
||||
(let ([θ (polygon-angle atomic-shape)]
|
||||
[points (polygon-points atomic-shape)])
|
||||
(let-values ([(x y) (rotate-point (point-x (car points)) (point-y (car points)) θ)])
|
||||
(let ([left x]
|
||||
[top y]
|
||||
[right x]
|
||||
[bottom y])
|
||||
(for-each (λ (point)
|
||||
(let-values ([(new-x new-y)
|
||||
(rotate-point (point-x point) (point-y point) θ)])
|
||||
(set! left (min new-x left))
|
||||
(set! top (min new-y top))
|
||||
(set! right (max new-x right))
|
||||
(set! bottom (max new-y bottom))))
|
||||
(cdr points))
|
||||
(values (+ dx left) (+ dy top) (+ dx right) (+ dy bottom)))))]
|
||||
[else
|
||||
(fprintf (current-error-port) "BAD\n")
|
||||
(values 0 0 100 100)])))
|
||||
(cond
|
||||
[(polygon? simple-shape)
|
||||
(let ([points (polygon-points simple-shape)])
|
||||
(let* ([fx (point-x (car points))]
|
||||
[fy (point-y (car points))]
|
||||
[left fx]
|
||||
[top fy]
|
||||
[right fx]
|
||||
[bottom fy])
|
||||
(for-each (λ (point)
|
||||
(let ([new-x (point-x point)]
|
||||
[new-y (point-y point)])
|
||||
(set! left (min new-x left))
|
||||
(set! top (min new-y top))
|
||||
(set! right (max new-x right))
|
||||
(set! bottom (max new-y bottom))))
|
||||
(cdr points))
|
||||
(values left top right bottom)))]
|
||||
[else
|
||||
(let ([dx (translate-dx simple-shape)]
|
||||
[dy (translate-dy simple-shape)]
|
||||
[atomic-shape (translate-shape simple-shape)])
|
||||
(fprintf (current-error-port) "BAD bounding box\n")
|
||||
(values 0 0 100 100))]))
|
||||
|
||||
|
||||
;; rotate-simple : angle simple-shape -> simple-shape
|
||||
(define (rotate-simple θ simple-shape)
|
||||
(let-values ([(dx dy) (c->xy (* (make-polar 1 θ)
|
||||
(xy->c (translate-dx simple-shape)
|
||||
(translate-dy simple-shape))))])
|
||||
(make-translate
|
||||
dx
|
||||
dy
|
||||
(rotate-atomic θ (translate-shape simple-shape)))))
|
||||
(cond
|
||||
[(polygon? simple-shape)
|
||||
(make-polygon (map (λ (p)
|
||||
(let-values ([(xn yn) (rotate-point (point-x p) (point-y p) θ)])
|
||||
(make-point xn yn)))
|
||||
(polygon-points simple-shape))
|
||||
(polygon-mode simple-shape)
|
||||
(polygon-color simple-shape))]
|
||||
[else
|
||||
(let-values ([(dx dy) (c->xy (* (make-polar 1 (degrees->radians θ))
|
||||
(xy->c (translate-dx simple-shape)
|
||||
(translate-dy simple-shape))))])
|
||||
(make-translate
|
||||
dx
|
||||
dy
|
||||
(rotate-atomic θ (translate-shape simple-shape))))]))
|
||||
|
||||
;; rotate-atomic : angle atomic-shape -> atomic-shape
|
||||
;; rotate-atomic : angle np-atomic-shape -> np-atomic-shape
|
||||
(define (rotate-atomic θ atomic-shape)
|
||||
(cond
|
||||
[(ellipse? atomic-shape)
|
||||
(make-ellipse (ellipse-width atomic-shape)
|
||||
(ellipse-height atomic-shape)
|
||||
(+ θ (ellipse-angle atomic-shape))
|
||||
(ellipse-pen atomic-shape)
|
||||
(ellipse-brush atomic-shape))]
|
||||
(cond
|
||||
[(= (ellipse-width atomic-shape)
|
||||
(ellipse-height atomic-shape))
|
||||
atomic-shape]
|
||||
[else
|
||||
(let ([new-angle (bring-between (+ θ (ellipse-angle atomic-shape)) 180)])
|
||||
(cond
|
||||
[(< new-angle 90)
|
||||
(make-ellipse (ellipse-width atomic-shape)
|
||||
(ellipse-height atomic-shape)
|
||||
new-angle
|
||||
(ellipse-mode atomic-shape)
|
||||
(ellipse-color atomic-shape))]
|
||||
[else
|
||||
(make-ellipse (ellipse-height atomic-shape)
|
||||
(ellipse-width atomic-shape)
|
||||
(- new-angle 90)
|
||||
(ellipse-mode atomic-shape)
|
||||
(ellipse-color atomic-shape))]))])]
|
||||
[(text? atomic-shape)
|
||||
(make-text (text-string atomic-shape)
|
||||
(+ θ (text-angle atomic-shape))
|
||||
(bring-between (+ θ (text-angle atomic-shape)) 360)
|
||||
(text-font atomic-shape))]
|
||||
[(polygon? atomic-shape)
|
||||
(make-polygon (polygon-points atomic-shape)
|
||||
(+ θ (polygon-angle atomic-shape))
|
||||
(polygon-pen atomic-shape)
|
||||
(polygon-brush atomic-shape))]
|
||||
[(bitmap? atomic-shape)
|
||||
(make-bitmap (bitmap-bitmap atomic-shape)
|
||||
(+ θ (bitmap-angle atomic-shape)))]))
|
||||
|
||||
(bring-between (+ θ (bitmap-angle atomic-shape)) 360))]))
|
||||
|
||||
;; bring-between : number number -> number
|
||||
;; returns a number that is much like the modulo of 'x' and 'upper-bound'
|
||||
;; but does this by repeated subtraction, since modulo only works on integers
|
||||
(define (bring-between x upper-bound)
|
||||
(let loop ([x x])
|
||||
(cond
|
||||
[(< x 0)
|
||||
(loop (+ x upper-bound))]
|
||||
[(< x upper-bound)
|
||||
x]
|
||||
[else
|
||||
(loop (- x upper-bound))])))
|
||||
|
||||
;; stamp : I I -> I
|
||||
;; treats the first I as if it were a mask and uses that mask to
|
||||
;; mask out parts of the first I (the mask is solid; no alpha stuff
|
||||
|
@ -649,18 +903,21 @@ and they all have good sample contracts. (It is amazing what we can do with kids
|
|||
;; rectangle
|
||||
|
||||
(define/chk (rectangle width height mode color)
|
||||
(make-picture (make-polygon (list (make-point 0 0)
|
||||
(make-point width 0)
|
||||
(make-point width height)
|
||||
(make-point 0 height))
|
||||
0
|
||||
(mode-color->pen mode color)
|
||||
(mode-color->brush mode color))
|
||||
(make-picture (make-polygon (rectangle-points width height)
|
||||
mode
|
||||
color)
|
||||
(make-bb width
|
||||
height
|
||||
height)
|
||||
#f))
|
||||
|
||||
(define (rectangle-points width height)
|
||||
(list (make-point 0 0)
|
||||
(make-point width 0)
|
||||
(make-point width height)
|
||||
(make-point 0 height)))
|
||||
|
||||
|
||||
;; circle
|
||||
;; ellipse
|
||||
;; triangle
|
||||
|
@ -672,8 +929,8 @@ and they all have good sample contracts. (It is amazing what we can do with kids
|
|||
(define/chk (ellipse width height mode color)
|
||||
(make-picture (make-ellipse width height
|
||||
0
|
||||
(mode-color->pen mode color)
|
||||
(mode-color->brush mode color))
|
||||
mode
|
||||
color)
|
||||
(make-bb width height height)
|
||||
#f))
|
||||
|
||||
|
|
|
@ -12,7 +12,7 @@
|
|||
[else
|
||||
(loop (overlay/places 'center 'center
|
||||
picture
|
||||
(rotate (* pi (/ 1 n)) picture))
|
||||
(rotate (* 180 (/ 1 n)) picture))
|
||||
(+ n 1))])))
|
||||
|
||||
(define-syntax-rule
|
||||
|
@ -24,7 +24,10 @@
|
|||
(define (round-numbers/proc x)
|
||||
(let loop ([x x])
|
||||
(cond
|
||||
[(number? x) (/ (round (* 100. x)) 100)]
|
||||
[(number? x) (let ([n (exact->inexact (/ (round (* 100. x)) 100))])
|
||||
(if (equal? n -0.0)
|
||||
0.0
|
||||
n))]
|
||||
[(pair? x) (cons (loop (car x)) (loop (cdr x)))]
|
||||
[(vector? x) (apply vector (map loop (vector->list x)))]
|
||||
[(let-values ([(a b) (struct-info x)]) a)
|
||||
|
@ -266,51 +269,48 @@
|
|||
;; testing rotating
|
||||
;;
|
||||
|
||||
(test (bring-between 123 360) => 123)
|
||||
(test (bring-between 365 360) => 5)
|
||||
(test (bring-between -5 360) => 355)
|
||||
(test (bring-between 720 360) => 0)
|
||||
(test (bring-between 720.5 360) => .5)
|
||||
|
||||
(test (round-numbers
|
||||
(simple-bb
|
||||
(make-translate
|
||||
50.0
|
||||
0
|
||||
(make-polygon
|
||||
(list (make-point 0 0) (make-point 50 0) (make-point 50 100) (make-point 0 100))
|
||||
pi
|
||||
'pen
|
||||
'brush))))
|
||||
(normalize-shape (picture-shape (rotate 90 (rectangle 100 100 'solid 'blue)))
|
||||
values))
|
||||
=>
|
||||
(values 0. -100. 50. 0.))
|
||||
|
||||
|
||||
(test (normalize-shape (picture-shape (rotate pi (rectangle 50 100 'solid 'blue)))
|
||||
values)
|
||||
=>
|
||||
(make-translate 50.0 100.0 (rotate-atomic pi (picture-shape (rectangle 50 100 'solid 'blue)))))
|
||||
|
||||
(test (rotate-simple (* pi 1/2)
|
||||
(rotate-simple (* pi 1/2)
|
||||
(make-translate 0 0
|
||||
(picture-shape (rectangle 50 100 'solid 'purple)))))
|
||||
=>
|
||||
(rotate-simple pi
|
||||
(make-translate 0 0 (picture-shape (rectangle 50 100 'solid 'purple)))))
|
||||
|
||||
(test (normalize-shape (picture-shape (rotate (* pi 1/2) (rotate (* pi 1/2) (rectangle 50 100 'solid 'blue))))
|
||||
values)
|
||||
=>
|
||||
(make-translate 50.0 100.0 (rotate-atomic pi (picture-shape (rectangle 50 100 'solid 'blue)))))
|
||||
(round-numbers (picture-shape (rectangle 100 100 'solid 'blue))))
|
||||
|
||||
(test (round-numbers
|
||||
(normalize-shape
|
||||
(picture-shape
|
||||
(rotate pi
|
||||
(overlay/xy (rectangle 50 50 'solid 'blue)
|
||||
50 50
|
||||
(rectangle 50 50 'solid 'red))))
|
||||
values))
|
||||
(normalize-shape (picture-shape (rotate 90 (rotate 90 (rectangle 50 100 'solid 'purple))))
|
||||
values))
|
||||
=>
|
||||
(round-numbers
|
||||
(normalize-shape
|
||||
(picture-shape
|
||||
(overlay/xy (rectangle 50 50 'solid 'red)
|
||||
50 50
|
||||
(rectangle 50 50 'solid 'blue))))))
|
||||
(round-numbers
|
||||
(normalize-shape (picture-shape (rotate 180 (rectangle 50 100 'solid 'purple)))
|
||||
values)))
|
||||
|
||||
(test (normalize-shape (picture-shape (rotate 90 (ellipse 10 10 'solid 'red))))
|
||||
=>
|
||||
(normalize-shape (picture-shape (ellipse 10 10 'solid 'red))))
|
||||
|
||||
(test (normalize-shape (picture-shape (rotate 90 (ellipse 10 12 'solid 'red))))
|
||||
=>
|
||||
(normalize-shape (picture-shape (ellipse 12 10 'solid 'red))))
|
||||
|
||||
(test (normalize-shape (picture-shape (rotate 135 (ellipse 10 12 'solid 'red))))
|
||||
=>
|
||||
(normalize-shape (picture-shape (rotate 45 (ellipse 12 10 'solid 'red)))))
|
||||
|
||||
(require (only-in lang/htdp-advanced equal~?))
|
||||
|
||||
(test (equal~? (rectangle 100 10 'solid 'red)
|
||||
(rotate 90 (rectangle 10 100 'solid 'red))
|
||||
0.1)
|
||||
=>
|
||||
#t)
|
||||
|
||||
(test (equal~? (rectangle 100 10 'solid 'red)
|
||||
(rotate 90 (rectangle 10.001 100.0001 'solid 'red))
|
||||
0.1)
|
||||
=>
|
||||
#t)
|
||||
|
|
Loading…
Reference in New Issue
Block a user