first cut checkin (still problems, of course)

svn: r15750
This commit is contained in:
Robby Findler 2009-08-17 00:33:19 +00:00
parent 6de735bf59
commit eb304cf4c3
3 changed files with 1000 additions and 0 deletions

16
collects/2htdp/picture.ss Normal file
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#lang scheme/base
(require "private/picture.ss")
(provide overlay
overlay/places
overlay/xy
beside
beside/places
rotate
rotate/places
frame
ellipse
rectangle)

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#lang scheme/base
(require scheme/class
scheme/gui/base
htdp/error
scheme/math
(for-syntax scheme/base))
(provide overlay
overlay/places
overlay/xy
beside
beside/places
rotate
rotate/places
frame
ellipse
rectangle
;; internal stuff, for the test suite
show-picture
normalize-shape
simple-bb
make-picture picture-shape
make-bb
make-overlay
make-translate
make-rotate
make-ellipse
make-text
make-polygon)
(define-struct posn (x y) #:transparent)
;; when rendering these things in error messages,
;; they should come out as #<picture: {THE ACTUAL PICTURE}>
;; (automatically scale them down so they fit)
;; redex randomized testing: see if normalization produces normalized shapes.
;; see if normalization always puts things in the right order
;; need to change error messages to say "the width (second) argument"
;; by passing "width (second)" to the check-arg function
#|
From Matthias: (to use to compare with this library)
You asked about exercises and code snippets for HtDP/2e yesterday. I actually do have a bunch of stuff in
svn: 2HtDP/SampleCode/
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.)
|#
;
;
;
;
;
;
; ;; ;; ;; ;;;
; ;; ;;; ;; ;;;
; ;;;;; ;;;; ;;;;; ;;;; ;;;;; ;;;; ;;;;; ;; ;;;
; ;;;;;; ;; ;; ;;;; ;; ;; ;;;;;; ;; ;; ;;;; ;;;;;;
; ;;; ;; ;;;; ;;; ;;;; ;;; ;; ;;;;;;;; ;; ;; ;;
; ;;; ;; ;;; ;; ;;; ;;; ;; ;;; ;; ;;; ;; ;; ;;
; ;;;;;; ;;; ;; ;;;;;;; ;; ;;;;;; ;;; ;; ;; ;; ;;
; ;;;;; ;;;;;; ;;; ;;;;;; ;;;;; ;;;; ;; ;; ;;
;
;
;
;
;; a picture is
;; (make-picture shape bb boolean)
;; NOTE: the shape field is mutated when normalized, as
;; is the normalized? field.
(define-struct picture (shape bb normalized?) #:mutable #:transparent)
;; a bb is (bounding box)
;; (make-bb number number number)
(define-struct bb (right bottom baseline) #:transparent)
;; a shape is either:
;;
;; - (make-overlay shape shape)
;; the shapes are in the order passed to the overlay or beside,
;; which means the bottom one should be drawn first so as to appear
;; underneath the top one.
(define-struct overlay (top bottom) #:transparent #:omit-define-syntaxes)
;;
;; - (make-translate dx dy shape)
(define-struct translate (dx dy shape) #:transparent #:omit-define-syntaxes)
;;
;; - (make-rotate angle shape)
(define-struct rotate (angle shape) #:transparent #:omit-define-syntaxes)
;;
;; - atomic-shape
;; an atomic-shape is either:
;;
;; - (make-ellipse width height pen brush)
(define-struct ellipse (width height pen brush) #:transparent #:omit-define-syntaxes)
;;
;; - (make-text string font)
(define-struct text (string font) #:omit-define-syntaxes)
;;
;; - (make-polygon (listof points) pen brush)
(define-struct polygon (points pen brush))
;;
;; - (is-a?/c bitmap%)
;; a normalized-shape (subtype of shape) is either
;; - (make-overlay normalized-shape simple-shape)
;; - simple-shape
;; a simple-shape (subtype of shape) is
;; - (make-translate dx dy (make-rotate angle atomic-shape))
;; picture-normalized-shape : picture -> normalized-shape
(define (picture-normalized-shape picture)
(unless (picture-normalized? picture)
(set-picture-shape! picture (normalize-shape (picture-shape picture) void))
(set-picture-normalized?! picture #t))
(picture-shape picture))
;; normalize-shape : shape (atomic-shape -> void) -> normalized-shape
;; normalizes 'shape', calling 'f' on each atomic shape in the normalized shape.
(define (normalize-shape shape f)
(let loop ([shape shape]
[angle 0]
[translation (xy->c 0 0)]
[bottom #f])
(cond
[(translate? shape)
(loop (translate-shape shape)
angle
(+ translation
(* (xy->c (translate-dx shape)
(translate-dy shape))
(make-polar 1 angle)))
bottom)]
[(rotate? shape)
(loop (rotate-shape shape)
(+ angle (rotate-angle shape))
translation
bottom)]
[(overlay? shape)
(loop (overlay-bottom shape)
angle translation
(loop (overlay-top shape)
angle translation bottom))]
[(atomic-shape? shape)
(let-values ([(dx dy) (c->xy translation)])
(let ([this-one (make-translate dx dy (make-rotate angle shape))])
(f this-one)
(if bottom
(make-overlay bottom this-one)
this-one)))])))
(define (atomic-shape? shape)
(or (ellipse? shape)
(text? shape)
(polygon? shape)
(and (object? shape)
(is-a?/c shape bitmap%))))
;; simple-bb : simple-shape -> (values number number number number)
;; returns the bounding box of 'shape'
;; (only called for rotated shapes, so bottom=baseline)
(define (simple-bb shape)
(let ([dx (translate-dx shape)]
[dy (translate-dy shape)]
[θ (rotate-angle (translate-shape shape))]
[simple-shape (rotate-shape (translate-shape shape))])
(cond
[(polygon? simple-shape)
(let ([points (polygon-points simple-shape)])
(let-values ([(x y) (rotate-point (+ dx (posn-x (car points)))
(+ dy (posn-y (car points)))
θ)])
(let ([left x]
[top y]
[right x]
[bottom y])
(for-each (λ (posn)
(let-values ([(new-x new-y)
(rotate-point (+ dx (posn-x posn))
(+ dy (posn-y posn))
θ)])
(set! left (min new-x left))
(set! right (max new-x right))
(set! top (min new-y top))
(set! bottom (max new-y bottom))))
(cdr points))
(values left top right bottom))))]
[else
(fprintf (current-error-port) "BAD\n")
(values 0 0 100 100)])))
;; rotate-point : x,y theta -> x,y
(define (rotate-point x y θ)
(c->xy (* (make-polar 1 θ)
(xy->c x y))))
(define (xy->c x y) (make-rectangular x (- y)))
(define (c->xy c)
(values (real-part c)
(- (imag-part c))))
(define (picture-right picture) (bb-right (picture-bb picture)))
(define (picture-bottom picture) (bb-bottom (picture-bb picture)))
(define (picture-baseline picture) (bb-baseline (picture-bb picture)))
;
;
;
;
;
;
; ;; ;; ;;
; ;; ;; ;;
; ;;;; ;;;;;;;;; ;;;; ;;;; ;;;; ;;;;;; ;;;; ;;;; ;; ;;; ;; ;; ;;; ;;;;;;
; ;; ;; ;;;; ;;;; ;;;;;; ;;;; ;;;;;; ;;;;;; ;; ;; ;;;;;; ;;;;; ;; ;;;;;; ;;;;;;
; ;;;;;;;; ;; ;; ;;; ;;; ;; ;;; ;; ;; ;;;;;;;;;;; ;;;;; ;; ;; ;; ;;; ;;
; ;;; ;; ;; ;;; ;;; ;; ;;; ;; ;; ;;; ;;; ;;;;; ;; ;; ;; ;;; ;;
; ;;; ;; ;; ;; ;;;;;; ;; ;;;;;; ;; ;; ;;; ;; ;;;;;; ;; ;; ;; ;; ;; ;;;;;;
; ;;;; ;; ;; ;;;; ;; ;;;; ;; ;; ;;;; ;;;; ;; ;;; ;; ;; ;; ;;;;;
; ;; ;;;
; ;;;;;
;
;
(define-syntax define/chk
(λ (stx)
(syntax-case stx ()
[(define/chk (fn-name args ... . final-arg) body)
(identifier? #'final-arg)
(let ([len (length (syntax->list #'(args ...)))])
(with-syntax ([(i ...) (build-list len values)])
#`(define (fn-name args ... . final-arg)
(let ([args (check/normalize 'fn-name 'args args i)] ...
[final-arg (map/i (λ (x j) (check/normalize 'fn-name 'final-arg x (+ #,len j)))
final-arg)])
body))))]
[(define/chk (fn-name args ...) body)
(with-syntax ([(i ...) (build-list (length (syntax->list #'(args ...))) add1)])
#'(define (fn-name args ...)
(let ([args (check/normalize 'fn-name 'args args i)] ...)
body)))])))
(define (map/i f l)
(let loop ([l l]
[i 0])
(cond
[(null? l) null]
[else (cons (f (car l) i)
(loop (cdr l) (+ i 1)))])))
;; check/normalize : symbol symbol any number -> any
;; based on the name of the argument, checks to see if the input
;; is valid and, if so, transforms it to a specific kind of value
;; width, height -> number
;; mode -> 'outline 'solid
;; color -> (is-a?/c color<%>)
(define (check/normalize fn-name argname arg i)
(case argname
[(x-place)
(check-arg fn-name
(member arg '("left" left "right" right "middle" middle "center" center))
'x-place
i
arg)
(let ([sym (if (string? arg)
(string->symbol arg)
arg)])
(if (eq? sym 'center)
'middle
sym))]
[(y-place)
(check-arg fn-name
(member arg '("top" top "bottom" bottom "middle" middle "center" center "baseline" baseline))
'y-place
i
arg)
(let ([sym (if (string? arg)
(string->symbol arg)
arg)])
(if (eq? sym 'center)
'middle
sym))]
[(picture picture1 picture2 picture3)
(check-arg fn-name
(picture? arg)
'picture
i
arg)
arg]
[(mode)
(check-arg fn-name
(member arg '(solid outline "solid" "outline"))
'mode
i
arg)
(if (string? arg)
(string->symbol arg)
arg)]
[(width height)
(check-arg fn-name
(and (number? arg)
(not (negative? arg)))
'non-negative-number
i arg)
arg]
[(dx dy angle)
(check-arg fn-name
(number? arg)
'number
i arg)
arg]
[(color)
(check-color fn-name i arg)
(cond
[(symbol? arg)
(send the-color-database find-color (symbol->string arg))]
[(string? arg)
(send the-color-database find-color arg)]
[else arg])]
[else
(error 'check "the function ~a has an argument with an unknown name: ~s"
fn-name
argname)]))
;
;
;
;
;
;
; ;; ;;
; ;; ;;
; ;;;; ;;;; ;; ;;; ;;;;; ;;;; ;;;;;;; ;; ;;; ;;;;;;
; ;;;; ;; ;; ;;;;;; ;;;;;; ;; ;; ;;;; ;; ;;;;;; ;;;;;;
; ;; ;;;;;;;; ;; ;; ;;; ;; ;;;;;;;; ;; ;; ;; ;; ;;; ;;
; ;; ;;; ;; ;; ;;; ;; ;;; ;; ;; ;; ;; ;;; ;;
; ;; ;;; ;; ;; ;; ;;;;;; ;;; ;; ;; ;; ;; ;; ;;;;;;
; ;; ;;;; ;; ;; ;;;;; ;;;; ;; ;; ;; ;; ;;;;;
; ;; ;;;
; ;;;;;
;
;
(define (show-picture g [extra-space 0])
(letrec ([f (new frame% [label ""])]
[c (new canvas%
[parent f]
[min-width (+ extra-space (inexact->exact (floor (picture-right g))))]
[min-height (+ extra-space (inexact->exact (floor (picture-bottom g))))]
[paint-callback
(λ (c dc)
(send dc set-smoothing 'aligned)
(let-values ([(w h) (send c get-client-size)])
(let ([scale (send sl get-value)])
(send dc set-scale scale scale)
(render-picture
g
dc
(inexact->exact (floor (- (/ w 2 scale) (/ (picture-right g) 2))))
(inexact->exact (floor (- (/ h 2 scale) (/ (picture-bottom g) 2))))))))])]
[min-scale 1]
[max-scale 10]
[sl (new slider%
[label "Scale factor"]
[parent f]
[min-value min-scale]
[max-value max-scale]
[callback (λ ignore (send c refresh))])]
[bp (new horizontal-panel% [parent f] [alignment '(center center)] [stretchable-height #f])]
[scale-adjust
(λ (f)
(send sl set-value (max min-scale (min max-scale (f (send sl get-value)))))
(send c refresh))])
(new button% [label "√"] [callback (λ x (scale-adjust sub1))] [parent bp])
(new button% [label "²"] [callback (λ x (scale-adjust add1))] [parent bp])
(send f show #t)))
;; render-picture : normalized-shape dc dx dy -> void
(define (render-picture picture dc dx dy)
(let loop ([shape (picture-normalized-shape picture)])
(cond
[(overlay? shape)
(render-simple-shape (overlay-bottom shape) dc dx dy)
(loop (overlay-top shape))]
[else
(render-simple-shape shape dc dx dy)])))
(define (render-simple-shape shape dc dx dy)
(let ([dx (+ dx (translate-dx shape))]
[dy (+ dy (translate-dy shape))]
[θ (rotate-angle (translate-shape shape))]
[atomic-shape (rotate-shape (translate-shape shape))])
(cond
[(ellipse? atomic-shape)
(let ([path (new dc-path%)])
(send path ellipse 0 0 (ellipse-width atomic-shape) (ellipse-height atomic-shape))
(send path rotate θ)
(send dc set-pen (ellipse-pen atomic-shape))
(send dc set-brush (ellipse-brush atomic-shape))
(send dc draw-path path dx dy))]
[(polygon? atomic-shape)
(let ([path (new dc-path%)]
[points (polygon-points atomic-shape)])
(send path move-to (posn-x (car points)) (posn-y (car points)))
(let loop ([points (cdr points)])
(unless (null? points)
(send path line-to (posn-x (car points)) (posn-y (car points)))
(loop (cdr points))))
(send path line-to (posn-x (car points)) (posn-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)
(send dc set-font (text-font atomic-shape))
(send dc draw-text (text-string atomic-shape) dx dy #f 0 angle)])))
;
;
;
;
;
; ;; ;; ;;
; ;; ;; ;;;
; ;;;; ;;;; ;;;;;; ;;; ;;;;; ;; ;; ;;; ;;;; ;;;;; ;;;; ;;;; ;;;;;
; ;;;;;; ;;;;;; ;;;;;;;;;; ;;;;;; ;; ;;;;;; ;; ;; ;;;; ;;;;;; ;;;; ;; ;;
; ;;; ;;; ;;; ;; ;; ;; ;; ;;; ;; ;; ;; ;;;; ;;; ;;; ;;; ;; ;;;;;
; ;;; ;;; ;;; ;; ;; ;; ;; ;;; ;; ;; ;; ;;; ;; ;;; ;;; ;;; ;; ;;;;
; ;;;;;; ;;;;;; ;; ;; ;; ;;;;;; ;; ;; ;; ;;; ;; ;;;; ;;;;;; ;; ;; ;;;
; ;;;; ;;;; ;; ;; ;; ;; ;; ;; ;; ;; ;;;;;; ;;; ;;;; ;; ;;;;;
;
;
;
; ; ; ;
;; bitmap : string -> picture
;; gets one of the bitmaps that comes with drscheme, scales it down by 1/8 or something
;; so that later scaling /translation/whatever will look reasonable.
;; (the error message for a bad argument will list all of the currently installed example pictures;
;; we may want to have some way teachers can stick new ones in there)
;; overlay : picture picture picture ... -> picture
;; places pictures on top of each other with their upper left corners aligned. last one goes on the bottom
(define/chk (overlay picture picture2 . picture3)
(overlay/internal 'left 'top picture (cons picture2 picture3)))
;; overlay/places : string string picture picture picture ... -> picture
;; the first string has to be one of "center" "middle" "left" or "right" (or symbols)
;; the second string has to be one of "center" "middle" "top" "bottom" or "baseline" (or symbols)
;; behaves like overlay, but lines up the pictures in the various places.
;; overlay without string arguments is the same as passing "left" and "top"
;; for the two string arguments. Passing, eg, "center" "center" lines the
;; pictures up at their centers.
(define/chk (overlay/places x-place y-place picture picture2 . picture3)
(overlay/internal x-place y-place picture (cons picture2 picture3)))
(define (overlay/internal x-place y-place fst rst)
(let loop ([fst fst]
[rst rst])
(cond
[(null? rst) fst]
[else
(let* ([fst-x-spot (find-x-spot x-place fst)]
[fst-y-spot (find-y-spot y-place fst)]
[snd-x-spot (find-x-spot x-place (car rst))]
[snd-y-spot (find-y-spot y-place (car rst))]
[dx (- fst-x-spot snd-x-spot)]
[dy (- fst-y-spot snd-y-spot)])
(loop (overlay/δ fst
(if (< dx 0) (- dx) 0)
(if (< dy 0) (- dy) 0)
(car rst)
(if (< dx 0) 0 dx)
(if (< dy 0) 0 dy))
(cdr rst)))])))
(define (find-x-spot x-place picture)
(case x-place
[(left) 0]
[(middle) (/ (picture-right picture) 2)]
[(right) (picture-right picture)]))
(define (find-y-spot y-place picture)
(case y-place
[(top) 0]
[(middle) (/ (picture-bottom picture) 2)]
[(bottom) (picture-bottom picture)]
[(baseline) (picture-baseline picture)]))
;; overlay/xy : picture number number picture -> picture
;; places pictures on top of each other with their upper-left corners offset by the two numbers
(define/chk (overlay/xy picture dx dy picture2)
(overlay/δ picture
(if (< dx 0) (- dx) 0)
(if (< dy 0) (- dy) 0)
picture2
(if (< dx 0) 0 dx)
(if (< dy 0) 0 dy)))
(define (overlay/δ picture1 dx1 dy1 picture2 dx2 dy2)
(make-picture (make-overlay (make-translate dx1 dy1 (picture-shape picture1))
(make-translate dx2 dy2 (picture-shape picture2)))
(make-bb (max (+ (picture-right picture1) dx1)
(+ (picture-right picture2) dx2))
(max (+ (picture-bottom picture1) dy1)
(+ (picture-bottom picture2) dy2))
(max (+ (picture-baseline picture1) dy1)
(+ (picture-baseline picture2) dy2)))
#f))
;; beside : picture picture picture ... -> picture
;; places pictures in a single horizontal row, top aligned
(define/chk (beside picture1 picture2 . picture3)
(beside/internal 'top picture1 (cons picture2 picture3)))
;; beside/places : string picture picture picture ... -> picture
;; places pictures in a horizontal row where the vertical alignment is
;; covered by the string argument
(define/chk (beside/places y-place picture1 picture2 . picture3)
(beside/internal y-place picture1 (cons picture2 picture3)))
(define (beside/internal y-place fst rst)
(let loop ([fst fst]
[rst rst])
(cond
[(null? rst) fst]
[else
(let* ([snd (car rst)]
[fst-y-spot (find-y-spot y-place fst)]
[snd-y-spot (find-y-spot y-place (car rst))]
[dy (- fst-y-spot snd-y-spot)])
(loop (overlay/δ fst
0
(if (< dy 0) (- dy) 0)
(car rst)
(picture-right fst)
(if (< dy 0) 0 dy))
(cdr rst)))])))
;; above : picture picture picture ... -> picture
;; above/places : string I I I ... -> I
;; like beside, but vertically
;; frame : picture -> picture
;; draws a black frame around a picture where the bounding box is
;; (useful for debugging pictures)
(define/chk (frame picture)
(make-picture (make-overlay (picture-shape picture)
(picture-shape
(rectangle (picture-right picture)
(picture-bottom picture)
'outline
'black)))
(make-bb (picture-right picture)
(picture-bottom picture)
(picture-baseline picture))
#f))
;; scale : I number -> I
;; scales the I by the given factor
;; rotate : I number -> I
;; rotates the I around the top-left corner by the given angle
;; (in degrees)
(define/chk (rotate angle picture)
(rotate/internal 'left 'top angle picture))
;; rotate/places : string string I number -> I
;; rotates the I around the given point inside the I, using
;; the strings like overlay does.
(define/chk (rotate/places x-place y-place angle picture)
(rotate/internal x-place y-place angle picture))
;; LINEAR TIME OPERATION!!
(define (rotate/internal x-place y-place angle picture)
(define left #f)
(define top #f)
(define right #f)
(define bottom #f)
(define (add-to-bounding-box simple-shape)
(let-values ([(this-left this-top this-right this-bottom) (simple-bb simple-shape)])
(set! left (if left (min this-left left) this-left))
(set! top (if top (min this-top top) this-top))
(set! right (if right (max this-right right) this-right))
(set! bottom (if bottom (max this-bottom bottom) this-bottom))))
(let ([rotated (normalize-shape (make-rotate angle (picture-shape picture)) add-to-bounding-box)])
(make-picture (make-translate (- left) (- top) rotated)
(make-bb (- right left) (- bottom top) (- bottom top))
#f)))
;; 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
;; here, even if dim were used).
;; only accepts solid black Is
;; see-thru : I number -> I
;; applies an alpha value to the I, making it translucent
;; -- as in the current I library, but they don't actually create
;; bitmaps, but instead just records that are rendered right as they are
;; about to be drawn
;; rectangle
(define/chk (rectangle width height mode color)
(make-picture (make-polygon (list (make-posn 0 0)
(make-posn width 0)
(make-posn width height)
(make-posn 0 height))
(mode-color->pen mode color)
(mode-color->brush mode color))
(make-bb width
height
height)
#f))
;; circle
;; ellipse
;; triangle
;; line
;; star
;; text
;; regular-polygon
(define/chk (ellipse width height mode color)
(make-picture (make-ellipse width height
(mode-color->pen mode color)
(mode-color->brush mode color))
(make-bb width height height)
#f))
(define (mode-color->pen mode color)
(send the-pen-list find-or-create-pen color 1
(case mode
[(outline) 'solid]
[(solid) 'transparent])))
(define (mode-color->brush mode color)
(send the-brush-list find-or-create-brush color
(case mode
[(outline) 'transparent]
[(solid) 'solid])))
;; add-line : I number number number number -> I
;; add-line : string string I number number number number -> I
;; like add-line, but adapted to use coordinates relative the top-left of the I,
;; or to the user-specified spot
;; add-curve : I posn number number posn number number -> I
;; add-curve : string string I posn number number posn number number -> I
;; the posns are the start and end points of the curve
;; the pair of numbers following each posn are the angle and "pull" of the curve
;; see pin-line in slideshow
;; the initial strings in the second instance of add-curve are like the strings in add-line

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#lang scheme/base
(require "picture.ss"
scheme/math
tests/eli-tester)
(let* ([first (rectangle 100 10 'solid 'red)]
[second
(overlay/places 'center
'center
first
(rotate/places 'center 'center
(* pi 1/4)
first))]
[third
(overlay/places 'center
'center
(frame second)
(rotate/places 'center 'center
(* pi 1/8)
(frame second)))])
(show-picture (frame third)))
(define (round-numbers x)
(let loop ([x x])
(cond
[(number? x) (/ (round (* 100. x)) 100)]
[(pair? x) (cons (loop (car x)) (loop (cdr x)))]
[(let-values ([(a b) (struct-info x)]) a)
=>
(λ (struct-type)
(apply
(struct-type-make-constructor
struct-type)
(map loop (cdr (vector->list (struct->vector x))))))])))
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;
;; testing overlays
;;
(test (overlay (ellipse 100 100 'solid 'blue)
(ellipse 120 120 'solid 'red))
=>
(make-picture
(make-overlay
(make-translate 0 0 (picture-shape (ellipse 100 100 'solid 'blue)))
(make-translate 0 0 (picture-shape (ellipse 120 120 'solid 'red))))
(make-bb 120
120
120)
#f))
(test (overlay/xy (ellipse 100 100 'solid 'blue)
0 0
(ellipse 120 120 'solid 'red))
=>
(overlay (ellipse 100 100 'solid 'blue)
(ellipse 120 120 'solid 'red)))
(test (overlay/xy (ellipse 50 100 'solid 'red)
-25 25
(ellipse 100 50 'solid 'green))
=>
(make-picture
(make-overlay
(make-translate
25 0
(picture-shape (ellipse 50 100 'solid 'red)))
(make-translate
0 25
(picture-shape (ellipse 100 50 'solid 'green))))
(make-bb 100
100
100)
#f))
(test (overlay/xy (ellipse 100 50 'solid 'green)
10 10
(ellipse 50 100 'solid 'red))
=>
(make-picture
(make-overlay
(make-translate 0 0 (picture-shape (ellipse 100 50 'solid 'green)))
(make-translate 10 10 (picture-shape (ellipse 50 100 'solid 'red))))
(make-bb 100
110
110)
#f))
(test (overlay (ellipse 100 50 'solid 'green)
(ellipse 50 100 'solid 'red))
=>
(make-picture
(make-overlay
(make-translate 0 0 (picture-shape (ellipse 100 50 'solid 'green)))
(make-translate 0 0 (picture-shape (ellipse 50 100 'solid 'red))))
(make-bb 100
100
100)
#f))
(test (overlay (ellipse 100 100 'solid 'blue)
(ellipse 120 120 'solid 'red)
(ellipse 140 140 'solid 'green))
=>
(make-picture
(make-overlay
(make-translate
0 0
(make-overlay
(make-translate 0 0 (picture-shape (ellipse 100 100 'solid 'blue)))
(make-translate 0 0 (picture-shape (ellipse 120 120 'solid 'red)))))
(make-translate 0 0 (picture-shape (ellipse 140 140 'solid 'green))))
(make-bb 140 140 140)
#f))
(test (overlay/places 'middle
'middle
(ellipse 100 50 'solid 'green)
(ellipse 50 100 'solid 'red))
=>
(make-picture
(make-overlay
(make-translate 0 25 (picture-shape (ellipse 100 50 'solid 'green)))
(make-translate 25 0 (picture-shape (ellipse 50 100 'solid 'red))))
(make-bb 100 100 100)
#f))
(test (overlay/places 'middle
'middle
(ellipse 50 100 'solid 'red)
(ellipse 100 50 'solid 'green))
=>
(make-picture
(make-overlay
(make-translate 25 0 (picture-shape (ellipse 50 100 'solid 'red)))
(make-translate 0 25 (picture-shape (ellipse 100 50 'solid 'green))))
(make-bb 100 100 100)
#f))
(test (overlay/places 'right
'bottom
(ellipse 50 100 'solid 'red)
(ellipse 100 50 'solid 'green))
=>
(make-picture
(make-overlay
(make-translate 50 0 (picture-shape (ellipse 50 100 'solid 'red)))
(make-translate 0 50 (picture-shape (ellipse 100 50 'solid 'green))))
(make-bb 100 100 100)
#f))
(test (overlay/places 'right
'baseline
(ellipse 50 100 'solid 'red)
(ellipse 100 50 'solid 'green))
=>
(make-picture
(make-overlay
(make-translate 50 0 (picture-shape (ellipse 50 100 'solid 'red)))
(make-translate 0 50 (picture-shape (ellipse 100 50 'solid 'green))))
(make-bb 100 100 100)
#f))
(test (beside/places 'top
(ellipse 50 100 'solid 'red)
(ellipse 100 50 'solid 'blue))
=>
(make-picture
(make-overlay
(make-translate 0 0 (picture-shape (ellipse 50 100 'solid 'red)))
(make-translate 50 0 (picture-shape (ellipse 100 50 'solid 'blue))))
(make-bb 150 100 100)
#f))
(test (beside/places 'center
(ellipse 50 100 'solid 'red)
(ellipse 100 50 'solid 'blue))
=>
(make-picture
(make-overlay
(make-translate 0 0 (picture-shape (ellipse 50 100 'solid 'red)))
(make-translate 50 25 (picture-shape (ellipse 100 50 'solid 'blue))))
(make-bb 150 100 100)
#f))
(test (beside/places 'baseline
(ellipse 50 100 'solid 'red)
(ellipse 100 50 'solid 'blue))
=>
(make-picture
(make-overlay
(make-translate 0 0 (picture-shape (ellipse 50 100 'solid 'red)))
(make-translate 50 50 (picture-shape (ellipse 100 50 'solid 'blue))))
(make-bb 150 100 100)
#f))
(test (beside (ellipse 50 100 'solid 'red)
(ellipse 100 50 'solid 'blue))
=>
(beside/places 'top
(ellipse 50 100 'solid 'red)
(ellipse 100 50 'solid 'blue)))
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;
;; testing rotation bounding boxes.
;;
(test (simple-bb (make-translate 0 0 (make-rotate (* pi 1/4) (picture-shape (rectangle 100 50 'solid 'red)))))
=>
(values 0.0
(- (imag-part (* (make-rectangular 100 0) (make-polar 1 (* pi 1/4)))))
(real-part (* (make-rectangular 100 -50) (make-polar 1 (* pi 1/4))))
(- (imag-part (* (make-rectangular 0 -50) (make-polar 1 (* pi 1/4)))))))
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;
;; testing normalization
;;
(test (normalize-shape (picture-shape (ellipse 50 100 'solid 'red))
void)
=>
(make-translate 0 0 (make-rotate 0 (picture-shape (ellipse 50 100 'solid 'red)))))
(test (normalize-shape (make-overlay (picture-shape (ellipse 50 100 'solid 'red))
(picture-shape (ellipse 50 100 'solid 'blue)))
void)
=>
(make-overlay (make-translate 0 0 (make-rotate 0 (picture-shape (ellipse 50 100 'solid 'red))))
(make-translate 0 0 (make-rotate 0 (picture-shape (ellipse 50 100 'solid 'blue))))))
(test (normalize-shape (make-overlay
(make-overlay (picture-shape (ellipse 50 100 'solid 'red))
(picture-shape (ellipse 50 100 'solid 'blue)))
(picture-shape (ellipse 50 100 'solid 'green)))
void)
=>
(make-overlay
(make-overlay (make-translate 0 0 (make-rotate 0 (picture-shape (ellipse 50 100 'solid 'red))))
(make-translate 0 0 (make-rotate 0 (picture-shape (ellipse 50 100 'solid 'blue)))))
(make-translate 0 0 (make-rotate 0 (picture-shape (ellipse 50 100 'solid 'green))))))
(test (normalize-shape (make-overlay
(picture-shape (ellipse 50 100 'solid 'green))
(make-overlay (picture-shape (ellipse 50 100 'solid 'red))
(picture-shape (ellipse 50 100 'solid 'blue))))
void)
=>
(make-overlay
(make-overlay (make-translate 0 0 (make-rotate 0 (picture-shape (ellipse 50 100 'solid 'green))))
(make-translate 0 0 (make-rotate 0 (picture-shape (ellipse 50 100 'solid 'red)))))
(make-translate 0 0 (make-rotate 0 (picture-shape (ellipse 50 100 'solid 'blue))))))
(test (normalize-shape (make-translate 100 100 (picture-shape (ellipse 50 100 'solid 'blue)))
void)
=>
(make-translate 100 100 (make-rotate 0 (picture-shape (ellipse 50 100 'solid 'blue)))))
(test (normalize-shape (make-translate 10 20 (make-translate 100 100 (picture-shape (ellipse 50 100 'solid 'blue))))
void)
=>
(make-translate 110 120 (make-rotate 0 (picture-shape (ellipse 50 100 'solid 'blue)))))
(test (normalize-shape (make-rotate pi (picture-shape (ellipse 50 100 'solid 'blue)))
void)
=>
(make-translate 0 0 (make-rotate pi (picture-shape (ellipse 50 100 'solid 'blue)))))
(test (normalize-shape (make-rotate (* pi 1/2) (make-rotate (* pi 1/2) (picture-shape (ellipse 50 100 'solid 'blue))))
void)
=>
(make-translate 0 0 (make-rotate pi (picture-shape (ellipse 50 100 'solid 'blue)))))
(test (round-numbers
(normalize-shape (make-rotate pi (make-translate 100 100 (picture-shape (rectangle 50 100 'solid 'blue))))
void))
=>
(round-numbers (make-translate -100 -100 (make-rotate pi (picture-shape (rectangle 50 100 'solid 'blue))))))
(test (round-numbers
(normalize-shape (make-rotate (* pi 1/2) (make-translate 100 50 (picture-shape (rectangle 50 100 'solid 'blue))))
void))
=>
(round-numbers (make-translate 50 -100 (make-rotate (* pi 1/2) (picture-shape (rectangle 50 100 'solid 'blue))))))