(hopefully) sorted out polygons; added a few other polygon-based primitives

svn: r16570
This commit is contained in:
Robby Findler 2009-11-06 14:34:25 +00:00
parent ccb90d4640
commit 3159a06389
5 changed files with 275 additions and 64 deletions

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@ -66,12 +66,16 @@ and they all have good sample contracts. (It is amazing what we can do with kids
ellipse
rectangle
regular-polygon
star
triangle
x-place?
y-place?
image?
mode?
angle?
side-count?
image-width
image-height)

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@ -1,6 +1,6 @@
#lang scheme/base
(require mrlib/image-core
(require "../../mrlib/image-core.ss"
scheme/class
scheme/gui/base
htdp/error
@ -34,9 +34,16 @@
y-place?
mode?
angle?
side-count?
image-width
image-height)
image-height
regular-polygon
triangle
star
swizzle)
(define (show-image g [extra-space 0])
@ -168,26 +175,26 @@
'mode
i
arg)
(let ([sym (if (string? arg)
(string->symbol arg)
arg)])
sym
#;
(if (eq? sym 'outline)
1
sym))]
(if (string? arg)
(string->symbol arg)
arg)]
[(width height)
(check-arg fn-name
(and (number? arg)
(and (real? arg)
(not (negative? arg)))
'non-negative-number
'non-negative-real-number
i arg)
arg]
[(dx dy factor x-factor y-factor)
[(dx dy factor x-factor y-factor side-length)
(check-arg fn-name
(and (number? arg)
(real? arg))
'number
(real? arg)
'real\ number
i arg)
arg]
[(side-count)
(check-arg fn-name
(side-count? arg)
'side-count
i arg)
arg]
[(angle)
@ -220,9 +227,11 @@
(define (mode? arg)
(member arg '(solid outline "solid" "outline")))
(define (angle? arg)
(and (number? arg)
(real? arg)
(and (real? arg)
(< -360 arg 360)))
(define (side-count? i)
(and (integer? i)
(3 . <= . i)))
(define (bitmap->image bm [mask-bm (send bm get-loaded-mask)])
(make-image (make-bitmap bm mask-bm 0 1 #f)
@ -464,15 +473,15 @@
(+ r dx)
(+ b dy))))]))
(define (atomic-bb atomic-shape)
(cond
[(ellipse? atomic-shape)
(let-values ([(w h) (ellipse-rotated-size (ellipse-width atomic-shape)
(ellipse-height atomic-shape)
(ellipse-angle atomic-shape))])
(degrees->radians (ellipse-angle atomic-shape)))])
(values 0 0 w h))]
[else
(fprintf (current-error-port) "BAD BOUNDING BOX\n")
(values 0 0 100 100)]))
;; rotate-simple : angle simple-shape -> simple-shape
@ -588,13 +597,7 @@
(list (make-point 0 0)
(make-point width 0)
(make-point width height)
(make-point 0 height))
#;
(list (make-point 0 0)
(make-point (- width 1) 0)
(make-point (- width 1) (- height 1))
(make-point 0 (- height 1))))
(make-point 0 height)))
;; circle
@ -603,7 +606,48 @@
;; line
;; star
;; text
;; regular-polygon
(define/chk (triangle side-length mode color)
(make-polygon/star side-length 3 mode color values))
(define/chk (regular-polygon side-length side-count mode color)
(make-polygon/star side-length side-count mode color values))
(define/chk (star side-length mode color)
(make-polygon/star side-length 5 mode color swizzle))
(define (make-polygon/star side-length side-count mode color adjust)
(let ([poly (make-polygon
(adjust (regular-polygon-points side-length side-count))
mode
color)])
(let-values ([(l t r b) (simple-bb poly)])
(printf "l ~s t ~s r ~s b ~s\n" l t r b)
(make-image (make-translate (- l) (- t) poly)
(make-bb (- r l) (- b t) (- b t))
#f))))
;; swizzle : (listof X)[odd-length] -> (listof X)
;; returns a list with the same elements,
;; but reordered so the even elements come first
;; and then the odd elements afterwards
(define (swizzle l)
(let ([v (list->vector l)])
(let loop ([i 0])
(cond
[(= i (vector-length v)) '()]
[else
(cons (vector-ref v (modulo (* i 2) (vector-length v)))
(loop (+ i 1)))]))))
;; regular-polygon-points : number number -> (listof point)
(define (regular-polygon-points side-length side-count)
(let loop ([p (make-rectangular 0 0)]
[i 0])
(cond
[(= i side-count) '()]
[else (cons (make-point (real-part p) (imag-part p))
(loop (+ p (make-polar side-length
(* -1 (* 2 pi) (/ i side-count))))
(+ i 1)))])))
(define/chk (ellipse width height mode color)
(make-image (make-ellipse width height

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@ -7,7 +7,7 @@ teachpack that has to be shared between drscheme
and the user's program to make copy and paste
work right.
Most of the exports are jsut for use in 2htdp/image
Most of the exports are just for use in 2htdp/image
(technically, 2htdp/private/image-more). The main
use of this library is the snip class addition it
does (and any code that that does not depend on
@ -125,7 +125,7 @@ has been moved out).
;; a polygon is:
;;
;; - (make-polygon (listof points) angle pen brush)
;; - (make-polygon (listof vector) mode color)
(define-struct/reg-mk polygon (points mode color) #:transparent #:omit-define-syntaxes
#:property prop:equal+hash
(list (λ (a b rec) (polygon-equal? a b rec)) (λ (x y) 42) (λ (x y) 3)))
@ -140,6 +140,8 @@ has been moved out).
;; an angle is a number between 0 and 360 (degrees)
;; a mode is either 'solid or 'outline (indicating a pen width for outline mode)
(define (polygon-equal? p1 p2 eq-recur)
(and (eq-recur (polygon-mode p1) (polygon-mode p2))
(eq-recur (polygon-color p1) (polygon-color p2))
@ -312,12 +314,15 @@ has been moved out).
(loop (overlay-top shape)
dx dy x-scale y-scale bottom))]
[(polygon? shape)
(let ([this-one (make-polygon (map (λ (p)
(make-point (+ dx (* x-scale (point-x p)))
(+ dy (* y-scale (point-y p)))))
(polygon-points shape))
(polygon-mode shape)
(polygon-color shape))])
(let* ([scaled-points
(map (λ (p)
(make-point (+ dx (* x-scale (point-x p)))
(+ dy (* y-scale (point-y p)))))
(polygon-points shape))]
[this-one
(make-polygon scaled-points
(polygon-mode shape)
(polygon-color shape))])
(if bottom
(make-overlay bottom (f this-one))
(f this-one)))]
@ -330,16 +335,14 @@ has been moved out).
(error 'normalize-shape "unknown shape ~s\n" shape)])))
(define (atomic-shape? shape)
(or (ellipse? shape)
(text? shape)
(polygon? shape)
(bitmap? shape)))
(or (polygon? shape)
(np-atomic-shape? shape)))
(define (np-atomic-shape? shape)
(or (ellipse? shape)
(text? shape)
(bitmap? shape)))
(bitmap? shape)
(point? shape)))
(define (scale-np-atomic x-scale y-scale shape)
(cond
@ -396,10 +399,16 @@ has been moved out).
(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)])
(let loop ([point (make-rectangular (point-x (car points)) (point-y (car points)))]
[points (cdr points)])
(unless (null? points)
(send path line-to (point-x (car points)) (point-y (car points)))
(loop (cdr points))))
(let* ([vec (make-rectangular (- (point-x (car points))
(real-part point))
(- (point-y (car points))
(imag-part point)))]
[endpoint (+ point vec (make-polar -1 (angle vec)))])
(send path line-to (real-part endpoint) (imag-part endpoint))
(loop endpoint (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)))
@ -413,7 +422,7 @@ has been moved out).
(let* ([path (new dc-path%)]
[ew (ellipse-width atomic-shape)]
[eh (ellipse-height atomic-shape)]
[θ (ellipse-angle atomic-shape)])
[θ (degrees->radians (ellipse-angle atomic-shape))])
(let-values ([(rotated-width rotated-height) (ellipse-rotated-size ew eh θ)])
(send path ellipse 0 0 ew eh)
(send path translate (- (/ ew 2)) (- (/ eh 2)))
@ -435,26 +444,40 @@ has been moved out).
(send dc draw-text (text-string atomic-shape) dx dy #f 0 angle))]))]))
(define (ellipse-rotated-size ew eh θ)
(let* ([t1 (atan (/ eh ew (exact->inexact (tan θ))))]
; a*cos(t1),b*sin(t1) is the point on *original* ellipse which gets rotated to top.
[t2 (atan (/ (* (- eh) (tan θ)) ew))] ; the original point rotated to right side.
[rotated-height (+ (* ew (sin θ) (cos t1)) (* eh (cos θ) (sin t1)))]
[rotated-width (- (* ew (cos θ) (cos t2)) (* eh (sin θ) (sin t2)))])
(values (abs rotated-width)
(abs rotated-height))))
(cond
[(and (zero? ew) (zero? eh))
(values 0 0)]
[(zero? eh)
(values (* (cos θ) ew)
(* (sin θ) ew))]
[(zero? ew)
(values (* (sin θ) eh)
(* (cos θ) eh))]
[else
(let* ([t1 (atan (/ eh ew (exact->inexact (tan θ))))]
; a*cos(t1),b*sin(t1) is the point on *original* ellipse which gets rotated to top.
[t2 (atan (/ (* (- eh) (tan θ)) ew))] ; the original point rotated to right side.
[rotated-height (+ (* ew (sin θ) (cos t1)) (* eh (cos θ) (sin t1)))]
[rotated-width (- (* ew (cos θ) (cos t2)) (* eh (sin θ) (sin t2)))])
(values (abs rotated-width)
(abs rotated-height)))]))
(define (degrees->radians θ)
(* θ 2 pi (/ 360)))
(define (mode-color->pen mode color)
(case mode
[(outline) (send the-pen-list find-or-create-pen color 1 'solid)]
[(solid) (send the-pen-list find-or-create-pen color 1 'solid)]))
(cond
[(eq? mode 'solid)
(send the-pen-list find-or-create-pen "black" 1 'transparent)]
[else
(send the-pen-list find-or-create-pen color 1 'solid)]))
(define (mode-color->brush mode color)
(case mode
[(outline) (send the-brush-list find-or-create-brush "black" 'transparent)]
[(solid) (send the-brush-list find-or-create-brush color 'solid)]))
(cond
[(eq? mode 'solid)
(send the-brush-list find-or-create-brush color 'solid)]
[else
(send the-brush-list find-or-create-brush "black" 'transparent)]))
(provide make-image image-shape image-bb image-normalized? image%
@ -467,7 +490,7 @@ has been moved out).
make-text text? text-string text-angle text-font
make-polygon polygon? polygon-points polygon-mode polygon-color
make-bitmap bitmap? bitmap-raw-bitmap bitmap-raw-mask bitmap-angle bitmap-scale bitmap-rendered-bitmap
degrees->radians
normalize-shape
ellipse-rotated-size
@ -477,4 +500,7 @@ has been moved out).
image-bottom
image-baseline
render-image)
render-image)
;; method names
(provide get-shape get-bb get-normalized?)

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@ -30,6 +30,33 @@ Existing images can be rotated, scaled, and overlaid on top of each other.
Constructs a rectangle with the given width, height, mode, and color.
}
@defproc[(regular-polygon [side-length (and/c positive? real?)]
[side-count side-count?]
[mode mode?]
[color (or/c symbol? string?)])
image?]{
Constructs a regular polygon with @scheme[side-count] sides.
}
@defproc[(star [side-length (and/c positive? real?)]
[mode mode?]
[color (or/c symbol? string?)])
image?]{
Constructs a star with five points. The @scheme[side-length] argument
determines the side length of the enclosing pentagon.
}
@defproc[(triangle [side-length (and/c positive? real?)]
[mode mode?]
[color (or/c symbol? string?)])
image?]{
Constructs a upward-pointing equilateral triangle.
The @scheme[side-length] argument
determines the
length of the side of the triangle.
}
@section{Overlaying Images}
@defproc[(overlay [i1 image?] [i2 image?] [is image?] ...) image?]{
@ -96,6 +123,16 @@ Existing images can be rotated, scaled, and overlaid on top of each other.
certain sub-images appear within some larger image.
}
@section{Image Properties}
@defproc[(image-width [i image?]) (and/c number? positive?)]{
Returns the width of @scheme[i].
}
@defproc[(image-height [i image?]) (and/c number? positive?)]{
Returns the height of @scheme[i].
}
@section{Image Predicates}
This section lists predicates for the basic structures provided by the image library.
@ -152,6 +189,11 @@ This section lists predicates for the basic structures provided by the image lib
and @scheme[360] (exclusive).
}
@defproc[(side-count? [x any/c]) boolean?]{
Determines if @scheme[x] is an integer
greater than or equal to @scheme[3].
}
@section{Equality Testing of Images}
Image equality testing is done structurally, i.e., based on

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@ -4,14 +4,19 @@
scheme/math
scheme/class
scheme/gui/base
tests/eli-tester)
schemeunit)
;(define-syntax-rule (test a => b) (begin a b))
(define-syntax-rule (test a => b) (check-equal? a b))
;; test case: (beside (text "a"...) (text "b" ...)) vs (text "ab")
;(show-image (frame (rotate 30 (ellipse 200 400 'solid 'purple))))
(define-simple-check (check-close a b)
(and (number? a)
(number? b)
(< (abs (- a b)) 0.001)))
#;
(show-image
(overlay/xy (rectangle 100 10 'solid 'red)
@ -63,6 +68,84 @@
(map loop (cdr (vector->list (struct->vector x))))))]
[else x])))
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;
;; width and height
;;
(test (image-width (rectangle 10 20 'solid 'blue))
=>
10)
(test (image-height (rectangle 10 20 'solid 'blue))
=>
20)
(test (image-width (rectangle 0 100 'solid 'blue))
=>
0)
(test (image-height (rectangle 0 100 'solid 'blue))
=>
100)
(test (image-width (rectangle 100 0 'solid 'blue))
=>
100)
(test (image-height (rectangle 100 0 'solid 'blue))
=>
0)
(check-close (image-width (rotate 45 (rectangle 100 0 'solid 'blue)))
(* (sin (* pi 1/4)) 100))
(check-close (image-height (rotate 45 (rectangle 100 0 'solid 'blue)))
(* (sin (* pi 1/4)) 100))
(check-close (image-width (rotate 45 (rectangle 0 100 'solid 'blue)))
(* (sin (* pi 1/4)) 100))
(check-close (image-height (rotate 45 (rectangle 0 100 'solid 'blue)))
(* (sin (* pi 1/4)) 100))
(test (image-width (scale 4 (rectangle 10 10 'outline 'black)))
=>
40)
(test (image-width (rotate 90 (scale 4 (rectangle 10 10 'outline 'black))))
=>
40.0)
(test (image-width (scale 4 (rectangle 10 10 'solid 'black)))
=>
40)
(test (image-width (rotate 90 (scale 4 (rectangle 10 10 'solid 'black))))
=>
40.0)
(test (image-width (ellipse 10 20 'solid 'blue))
=>
10)
(test (image-height (ellipse 10 20 'solid 'blue))
=>
20)
(test (image-width (ellipse 0 100 'solid 'blue))
=>
0)
(test (image-height (ellipse 0 100 'solid 'blue))
=>
100)
(test (image-width (ellipse 100 0 'solid 'blue))
=>
100)
(test (image-height (ellipse 100 0 'solid 'blue))
=>
0)
(test (image-width (rotate 30 (ellipse 100 0 'solid 'blue)))
=>
(* (cos (* pi 1/6)) 100))
(test (image-height (rotate 30 (ellipse 100 0 'solid 'blue)))
=>
(* (sin (* pi 1/6)) 100))
(check-close (image-width (rotate 30 (ellipse 0 100 'solid 'blue)))
(* (sin (* pi 1/6)) 100))
(check-close (image-height (rotate 30 (ellipse 0 100 'solid 'blue)))
(* (cos (* pi 1/6)) 100))
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;
;; testing overlays
@ -445,4 +528,16 @@
(test (rotate 90 (make-object image-snip% blue-10x20-bitmap))
=>
(image-snip->image (make-object image-snip% blue-20x10-bitmap)))
|#
|#
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;
;; regular polygon
;;
(check-equal? (round-numbers (regular-polygon 100 4 'outline 'green))
(round-numbers (rectangle 100 100 'outline 'green)))
(check-equal? (swizzle (list 0 1 2 3 4))
(list 0 2 4 1 3))