Complete Program from Figure 5

(define Shape (interface () draw))
     
(define Rectangle
  (class* object% (Shape) (width height)
    (public
      [draw (lambda (dc x y)
	      (send dc draw-rectangle x y width height))])
    (sequence (super-init))))
    
(define Circle
  (class* object% (Shape) (radius)
    (public
      [draw (lambda (dc x y)
	      (send dc draw-ellipse
		    (- x radius)
		    (- y radius)
		    (* 2 radius)
		    (* 2 radius)))])
    (sequence (super-init))))
    
(define Translated
  (class* object% (Shape) (orig-shape dx dy)
    (public
      [draw (lambda (dc x y)
              (send orig-shape draw 
                    dc (+ x dx) (+ y dy)))])
    (sequence (super-init))))

(define shape-canvas%
  (class canvas% (parent a-shape)
    (inherit get-dc)
    (override
      [on-paint
       (lambda ()
	 (send a-shape draw (get-dc) 0 0))])
    (sequence (super-init parent))))
    
(define display-shape
  (lambda (a-shape)
    (unless (is-a? a-shape Shape)
      (error 'display-shape "expected a Shape, got: ~e" a-shape))
    (let* ([frame (make-object frame% "Shapes" #f 150 150)]
	   [panel (make-object vertical-panel% frame)]
	   [canvas (make-object shape-canvas% panel a-shape)])
      (send frame show #t))))

(define Union
  (class* object% (Shape) (left right)
    (public
      [draw (lambda (dc x y)
              (send left draw dc x y)
              (send right draw dc x y))])
    (sequence (super-init))))

(define BB-Shape (interface (Shape) bounding-box))

(define-struct BB (left top right bottom))
 
(define BB-Rectangle
  (class* Rectangle (BB-Shape) (width height)
    (public
      [bounding-box
       (lambda () (make-BB 0 0 width height))])
    (sequence (super-init width height))))
        
(define BB-Circle
  (class* Circle (BB-Shape) (r)
    (public
      [bounding-box 
        (lambda () (make-BB (- r) (- r) r r))])
    (sequence (super-init r))))
        
(define BB-Translated
  (class* Translated (BB-Shape) (shape dx dy)
    (public
      [bounding-box
       (lambda ()
	 (let ([pre-bb (send shape bounding-box)])
	   (make-BB (+ (BB-left pre-bb) dx)
		    (+ (BB-top pre-bb) dy)
		    (+ (BB-right pre-bb) dx)
		    (+ (BB-bottom pre-bb) dy))))])
    (sequence (super-init shape dx dy))))
        
(define BB-Union
  (class* Union (BB-Shape) (left right)
    (public
      [bounding-box
       (lambda ()
	 (let ([left-bb (send left bounding-box)]
	       [right-bb (send right bounding-box)])
	   (make-BB (min (BB-left left-bb) (BB-left right-bb))
		    (min (BB-top left-bb) (BB-top right-bb))
		    (max (BB-right left-bb) (BB-right right-bb))
		    (max (BB-bottom left-bb) (BB-bottom right-bb)))))])
    (sequence (super-init left right))))

(define shape-canvas%
  (class canvas% (panel shape)
    (inherit get-dc get-client-size)
    (override
      [on-paint
       (lambda ()
         (let-values ([(win-width win-height) (get-client-size)])
           (let* ([bb (send shape bounding-box)]
                  [size
                   (lambda (left1 right1 left2 right2)
                     (- (/ (- (- right2 left2)
                              (- right1 left1))
                           2)
                        left1))]
                  [x (size (BB-left bb) (BB-right bb) 0 win-width)]
                  [y (size (BB-top bb) (BB-bottom bb) 0 win-height)])
             
             (send shape draw (get-dc) x y))))])
    (sequence (super-init panel))))
	
(define display-shape
  (lambda (a-shape)
    (unless (is-a? a-shape BB-Shape)
      (error 'display-shape "expected a BB-Shape, got: ~e" a-shape))
    (let* ([frame (make-object frame% "Centered Shapes" #f 150 150)]
	   [canvas (make-object shape-canvas% frame a-shape)])
      (send frame show #t))))

(define shape1 (make-object BB-Rectangle 40 30))
(define shape2 (make-object BB-Translated 
                 (make-object BB-Circle 20)
                 30 30))
(define shape3 (make-object BB-Union shape1 shape2))

(display-shape shape1)
(display-shape shape2)
(display-shape shape3)

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