racket/collects/plot/plot3d/rectangle.rkt
2011-11-11 18:12:40 -07:00

174 lines
9.1 KiB
Racket

#lang racket/base
;; Functions to create renderers for 3D histograms
(require racket/match racket/list racket/contract racket/class
plot/utils
"../common/contract-doc.rkt"
"../common/utils.rkt")
(provide (all-defined-out))
;; ===================================================================================================
;; Rectangles
(define ((rectangles3d-render-proc rects color style line-color line-width line-style alpha label)
area)
(send area put-pen line-color line-width line-style)
(send area put-brush color style)
(send area put-alpha alpha)
(for ([rect (in-list rects)])
(send area put-rect rect))
(cond [label (rectangle-legend-entry label color style line-color line-width line-style)]
[else empty]))
(defproc (rectangles3d
[rects (listof (vector/c ivl? ivl? ivl?))]
[#:x-min x-min (or/c regular-real? #f) #f] [#:x-max x-max (or/c regular-real? #f) #f]
[#:y-min y-min (or/c regular-real? #f) #f] [#:y-max y-max (or/c regular-real? #f) #f]
[#:z-min z-min (or/c regular-real? #f) #f] [#:z-max z-max (or/c regular-real? #f) #f]
[#:color color plot-color/c (rectangle-color)]
[#:style style plot-brush-style/c (rectangle-style)]
[#:line-color line-color plot-color/c (rectangle-line-color)]
[#:line-width line-width (>=/c 0) (rectangle3d-line-width)]
[#:line-style line-style plot-pen-style/c (rectangle-line-style)]
[#:alpha alpha (real-in 0 1) (rectangle-alpha)]
[#:label label (or/c string? #f) #f]
) renderer3d?
(match-define (list (vector (ivl x1s x2s) (ivl y1s y2s) (ivl z1s z2s)) ...) rects)
(define rxs (filter regular-real? (append x1s x2s)))
(define rys (filter regular-real? (append y1s y2s)))
(define rzs (filter regular-real? (append z1s z2s)))
(cond
[(or (empty? rxs) (empty? rys) (empty? rzs)) (renderer3d #f #f #f #f)]
[else
(let ([x-min (if x-min x-min (apply min* rxs))]
[x-max (if x-max x-max (apply max* rxs))]
[y-min (if y-min y-min (apply min* rys))]
[y-max (if y-max y-max (apply max* rys))]
[z-min (if z-min z-min (apply min* rzs))]
[z-max (if z-max z-max (apply max* rzs))])
(renderer3d (vector (ivl x-min x-max) (ivl y-min y-max) (ivl z-min z-max)) #f
default-ticks-fun
(rectangles3d-render-proc rects color style line-color line-width line-style
alpha label)))]))
;; ===================================================================================================
;; Discrete histograms
(define ((discrete-histogram3d-ticks-fun c1s c2s tick-xs tick-ys x-far-ticks? y-far-ticks?) r)
(match-define (vector _xi _yi (ivl z-min z-max)) r)
(define-values (x-ticks x-far-ticks)
(let ([ts (for/list ([cat (in-list c1s)] [x (in-list tick-xs)])
(tick x #t (->plot-label cat)))])
(if x-far-ticks? (values empty ts) (values ts empty))))
(define-values (y-ticks y-far-ticks)
(let ([ts (for/list ([cat (in-list c2s)] [y (in-list tick-ys)])
(tick y #t (->plot-label cat)))])
(if y-far-ticks? (values empty ts) (values ts empty))))
(values x-ticks x-far-ticks
y-ticks y-far-ticks
((plot-z-ticks) z-min z-max) ((plot-z-far-ticks) z-min z-max)))
(define (adjust/gap i gap)
(match-define (ivl x1 x2) i)
(define 1/2-gap-size (* 1/2 gap (- x2 x1)))
(ivl (+ x1 1/2-gap-size) (- x2 1/2-gap-size)))
(defproc (discrete-histogram3d
[cat-vals (listof (vector/c any/c any/c (or/c real? ivl? #f)))]
[#:x-min x-min (or/c regular-real? #f) 0] [#:x-max x-max (or/c regular-real? #f) #f]
[#:y-min y-min (or/c regular-real? #f) 0] [#:y-max y-max (or/c regular-real? #f) #f]
[#:z-min z-min (or/c regular-real? #f) 0] [#:z-max z-max (or/c regular-real? #f) #f]
[#:gap gap (real-in 0 1) (discrete-histogram-gap)]
[#:color color plot-color/c (rectangle-color)]
[#:style style plot-brush-style/c (rectangle-style)]
[#:line-color line-color plot-color/c (rectangle-line-color)]
[#:line-width line-width (>=/c 0) (rectangle3d-line-width)]
[#:line-style line-style plot-pen-style/c (rectangle-line-style)]
[#:alpha alpha (real-in 0 1) (rectangle-alpha)]
[#:label label (or/c string? #f) #f]
[#:x-far-ticks? x-far-ticks? boolean? #f]
[#:y-far-ticks? y-far-ticks? boolean? #f]
) renderer3d?
(match-define (list (vector cat1s cat2s zs) ...) cat-vals)
(define rzs (filter regular-real? (append* (for/list ([z (in-list zs)])
(match z
[(ivl z1 z2) (list z1 z2)]
[_ (list z)])))))
(cond
[(empty? rzs) (renderer3d #f #f #f #f)]
[else
(define c1s (remove-duplicates cat1s))
(define c2s (remove-duplicates cat2s))
(define x-num (length c1s))
(define y-num (length c2s))
(let* ([x-min (if x-min x-min 0)]
[x-max (if x-max x-max (+ x-min x-num))]
[y-min (if y-min y-min 0)]
[y-max (if y-max y-max (+ y-min y-num))]
[z-min (if z-min z-min (apply min* rzs))]
[z-max (if z-max z-max (apply max* rzs))])
(define xs (linear-seq x-min x-max (add1 x-num)))
(define ys (linear-seq y-min y-max (add1 y-num)))
(define h (make-hash (for/list ([c1 (in-list cat1s)] [c2 (in-list cat2s)] [z (in-list zs)])
(cons (cons c1 c2) z))))
(match-define (list (vector x1s x2s y1s y2s all-zs) ...)
(for/list ([y1 (in-list ys)]
[y2 (in-list (rest ys))]
[c2 (in-list c2s)]
#:when #t
[x1 (in-list xs)]
[x2 (in-list (rest xs))]
[c1 (in-list c1s)])
(vector x1 x2 y1 y2 (hash-ref h (cons c1 c2) +nan.0))))
(define tick-xs (linear-seq x-min x-max x-num #:start? #f #:end? #f))
(define tick-ys (linear-seq y-min y-max y-num #:start? #f #:end? #f))
(define rects (map (λ (x1 x2 y1 y2 z)
(vector (adjust/gap (ivl x1 x2) gap)
(adjust/gap (ivl y1 y2) gap)
(if (ivl? z) z (ivl 0 z))))
x1s x2s y1s y2s all-zs))
(renderer3d (vector (ivl x-min x-max) (ivl y-min y-max) (ivl z-min z-max)) #f
(discrete-histogram3d-ticks-fun c1s c2s tick-xs tick-ys x-far-ticks? y-far-ticks?)
(rectangles3d-render-proc rects color style line-color line-width line-style
alpha label)))]))
(defproc (stacked-histogram3d
[cat-vals (listof (vector/c any/c any/c (listof real?)))]
[#:x-min x-min (or/c regular-real? #f) 0] [#:x-max x-max (or/c regular-real? #f) #f]
[#:y-min y-min (or/c regular-real? #f) 0] [#:y-max y-max (or/c regular-real? #f) #f]
[#:z-min z-min (or/c regular-real? #f) 0] [#:z-max z-max (or/c regular-real? #f) #f]
[#:gap gap (real-in 0 1) (discrete-histogram-gap)]
[#:colors colors (plot-colors/c nat/c) (stacked-histogram-colors)]
[#:styles styles (plot-brush-styles/c nat/c) (stacked-histogram-styles)]
[#:line-colors line-colors (plot-colors/c nat/c) (stacked-histogram-line-colors)]
[#:line-widths line-widths (pen-widths/c nat/c) (stacked-histogram-line-widths)]
[#:line-styles line-styles (plot-pen-styles/c nat/c) (stacked-histogram-line-styles)]
[#:alphas alphas (alphas/c nat/c) (stacked-histogram-alphas)]
[#:labels labels (labels/c nat/c) '(#f)]
[#:x-far-ticks? x-far-ticks? boolean? #f]
[#:y-far-ticks? y-far-ticks? boolean? #f]
) (listof renderer3d?)
(match-define (list (vector cat1s cat2s zs) ...) cat-vals)
(define zss (map cumulative-sum zs))
(define z-ivlss (for/list ([zs (in-list zss)])
(for/list ([z1 (in-list zs)] [z2 (in-list (rest zs))])
(ivl z1 z2))))
(define max-num (apply max (map length zss)))
(for/list ([z-ivls (in-list (transpose z-ivlss))]
[color (in-cycle (maybe-apply colors max-num))]
[style (in-cycle (maybe-apply styles max-num))]
[line-color (in-cycle (maybe-apply line-colors max-num))]
[line-width (in-cycle (maybe-apply line-widths max-num))]
[line-style (in-cycle (maybe-apply line-styles max-num))]
[alpha (in-cycle (maybe-apply alphas max-num))]
[label (in-cycle (maybe-apply labels max-num))])
(discrete-histogram3d
(map vector cat1s cat2s z-ivls)
#:x-min x-min #:x-max x-max #:y-min y-min #:y-max y-max #:z-min z-min #:z-max z-max #:gap gap
#:color color #:style style #:line-color line-color #:line-width line-width
#:line-style line-style #:alpha alpha #:label label
#:x-far-ticks? x-far-ticks? #:y-far-ticks? y-far-ticks?)))