473 lines
21 KiB
Racket
473 lines
21 KiB
Racket
#lang racket/base
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(require racket/draw racket/class racket/contract racket/match racket/math racket/list racket/string
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"../common/plot-device.rkt"
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"../common/ticks.rkt"
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"../common/contract.rkt"
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"../common/math.rkt"
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"../common/draw.rkt"
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"../common/axis-transform.rkt"
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"../common/sample.rkt"
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"../common/legend.rkt"
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"../common/parameters.rkt"
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"../common/utils.rkt"
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"clip.rkt")
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(provide (all-defined-out))
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(define plot2d-subdivisions (make-parameter 0))
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(define 2d-plot-area%
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(class object%
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(init-field rx-ticks rx-far-ticks ry-ticks ry-far-ticks
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x-min x-max y-min y-max)
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(init dc dc-x-min dc-y-min dc-x-size dc-y-size)
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(super-new)
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(define pd (make-object plot-device% dc dc-x-min dc-y-min dc-x-size dc-y-size))
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(send pd reset-drawing-params)
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(define char-height (send pd get-char-height))
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(define dc-x-max (+ dc-x-min dc-x-size))
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(define dc-y-max (+ dc-y-min dc-y-size))
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(define title-y-min
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(cond [(and (plot-decorations?) (plot-title)) (+ dc-y-min (* 3/2 char-height))]
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[else dc-y-min]))
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(define x-size (- x-max x-min))
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(define y-size (- y-max y-min))
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(define x-mid (* 1/2 (+ x-min x-max)))
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(define y-mid (* 1/2 (+ y-min y-max)))
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(define clipping? #f)
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(define clip-x-min x-min)
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(define clip-x-max x-max)
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(define clip-y-min y-min)
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(define clip-y-max y-max)
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(define/public (clip-to-bounds rx-min rx-max ry-min ry-max)
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(set! clipping? #t)
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(define cx-min (if rx-min (max* x-min rx-min) x-min))
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(define cx-max (if rx-max (min* x-max rx-max) x-max))
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(define cy-min (if ry-min (max* y-min ry-min) y-min))
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(define cy-max (if ry-max (min* y-max ry-max) y-max))
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(let ([cx-min (min* cx-min cx-max)]
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[cx-max (max* cx-min cx-max)]
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[cy-min (min* cy-min cy-max)]
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[cy-max (max* cy-min cy-max)])
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(set! clip-x-min cx-min)
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(set! clip-x-max cx-max)
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(set! clip-y-min cy-min)
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(set! clip-y-max cy-max)))
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(define/public (clip-to-none)
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(set! clipping? #f))
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(define (in-bounds? v)
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(or (not clipping?)
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(point-in-bounds? v clip-x-min clip-x-max
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clip-y-min clip-y-max)))
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(define/public (get-x-ticks) x-ticks)
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(define/public (get-x-far-ticks) x-far-ticks)
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(define/public (get-y-ticks) y-ticks)
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(define/public (get-y-far-ticks) y-far-ticks)
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(define/public (get-x-min) x-min)
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(define/public (get-x-max) x-max)
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(define/public (get-y-min) y-min)
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(define/public (get-y-max) y-max)
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(define/public (get-bounds) (values x-min x-max y-min y-max))
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(define/public (get-clip-bounds)
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(cond [clipping? (values clip-x-min clip-x-max clip-y-min clip-y-max)]
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[else (values x-min x-max y-min y-max)]))
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(define identity-transforms?
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(and (equal? (plot-x-transform) id-transform)
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(equal? (plot-y-transform) id-transform)))
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(match-define (invertible-function fx _) (apply-axis-transform (plot-x-transform) x-min x-max))
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(match-define (invertible-function fy _) (apply-axis-transform (plot-y-transform) y-min y-max))
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(define plot->view
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(cond [identity-transforms? (λ (v) v)]
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[else (λ (v) (match-let ([(vector x y) v])
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(vector (fx x) (fy y))))]))
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(define view->dc #f)
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(define (plot->dc* v) (view->dc (plot->view v)))
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(define/public (plot->dc v) (plot->dc* v))
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(define/public (plot-line->dc-angle v1 v2)
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(match-define (vector dx dy) (v- (plot->dc* v1) (plot->dc* v2)))
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(- (atan2 (- dy) dx)))
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(define (make-view->dc left right top bottom)
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(define corners (list (vector x-min y-min) (vector x-min y-max)
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(vector x-max y-min) (vector x-max y-max)))
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(match-define (list (vector xs ys) ...) (map plot->view corners))
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(define view-x-min (apply min xs))
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(define view-x-max (apply max xs))
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(define view-y-min (apply min ys))
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(define view-y-max (apply max ys))
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(define area-x-min (+ dc-x-min left))
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(define area-x-max (- dc-x-max right))
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(define area-y-min (+ dc-y-min top))
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(define area-y-max (- dc-y-max bottom))
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(define area-x-size (- area-x-max area-x-min))
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(define area-y-size (- area-y-max area-y-min))
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(define area-per-view-x (/ area-x-size (- view-x-max view-x-min)))
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(define area-per-view-y (/ area-y-size (- view-y-max view-y-min)))
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(λ (v)
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(match-define (vector x y) v)
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(vector (+ area-x-min (* (- x x-min) area-per-view-x))
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(- area-y-max (* (- y y-min) area-per-view-y)))))
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;; Initial view->dc (draws labels and half of every tick off the allotted space on the dc)
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(define init-top-margin (- title-y-min dc-y-min))
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(set! view->dc (make-view->dc 0 0 init-top-margin 0))
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;; ===============================================================================================
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;; Tick and label constants
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(define near-dist^2 (sqr(* 3 (plot-line-width))))
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(define (vnear? v1 v2)
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((vmag^2 (v- (plot->dc* v1) (plot->dc* v2))) . <= . near-dist^2))
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(define ((x-tick-near? y) t1 t2)
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(vnear? (vector (pre-tick-value t1) y)
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(vector (pre-tick-value t2) y)))
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(define ((y-tick-near? x) t1 t2)
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(vnear? (vector x (pre-tick-value t1))
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(vector x (pre-tick-value t2))))
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(define x-ticks
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(collapse-nearby-ticks (filter (λ (t) (<= x-min (pre-tick-value t) x-max)) rx-ticks)
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(x-tick-near? y-min)))
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(define x-far-ticks
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(collapse-nearby-ticks (filter (λ (t) (<= x-min (pre-tick-value t) x-max)) rx-far-ticks)
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(x-tick-near? y-max)))
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(define y-ticks
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(collapse-nearby-ticks (filter (λ (t) (<= y-min (pre-tick-value t) y-max)) ry-ticks)
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(y-tick-near? x-min)))
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(define y-far-ticks
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(collapse-nearby-ticks (filter (λ (t) (<= y-min (pre-tick-value t) y-max)) ry-far-ticks)
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(y-tick-near? x-max)))
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(define draw-x-far-tick-labels? (not (and (plot-x-axis?) (equal? x-ticks x-far-ticks))))
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(define draw-y-far-tick-labels? (not (and (plot-y-axis?) (equal? y-ticks y-far-ticks))))
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(define (max-tick-offset ts)
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(cond [(empty? ts) 0]
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[(ormap pre-tick-major? ts) (+ (pen-gap) (* 1/2 (plot-tick-size)))]
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[else (+ (pen-gap) (* 1/4 (plot-tick-size)))]))
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(define max-x-tick-offset (if (plot-x-axis?) (max-tick-offset x-ticks) 0))
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(define max-y-tick-offset (if (plot-y-axis?) (max-tick-offset y-ticks) 0))
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(define max-x-far-tick-offset (if (plot-x-far-axis?) (max-tick-offset x-far-ticks) 0))
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(define max-y-far-tick-offset (if (plot-y-far-axis?) (max-tick-offset y-far-ticks) 0))
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(define (max-tick-label-height ts)
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(if (ormap pre-tick-major? ts) char-height 0))
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(define (max-tick-label-width ts)
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(apply max 0 (for/list ([t (in-list ts)] #:when (pre-tick-major? t))
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(send pd get-text-width (tick-label t)))))
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(define max-x-tick-label-height (if (plot-x-axis?) (max-tick-label-height x-ticks) 0))
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(define max-y-tick-label-width (if (plot-y-axis?) (max-tick-label-width y-ticks) 0))
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(define max-x-far-tick-label-height (if (and (plot-x-far-axis?) draw-x-far-tick-labels?)
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(max-tick-label-height x-far-ticks)
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0))
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(define max-y-far-tick-label-width (if (and (plot-y-far-axis?) draw-y-far-tick-labels?)
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(max-tick-label-width y-far-ticks)
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0))
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;; ===============================================================================================
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;; Axis label parameters
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(define (get-x-label-params)
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(define offset (vector 0 (+ max-x-tick-offset
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max-x-tick-label-height
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(* 1/2 char-height))))
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(list (plot-x-label) (v+ (view->dc (vector (* 1/2 (+ x-min x-max)) y-min)) offset)
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'top))
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(define (get-y-label-params)
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(define offset (vector (+ max-y-tick-offset
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max-y-tick-label-width
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(* 1/2 char-height))
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0))
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(list (plot-y-label) (v- (view->dc (vector x-min (* 1/2 (+ y-min y-max)))) offset)
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'bottom (/ pi 2)))
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(define (get-x-far-label-params)
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(define offset (vector 0 (+ max-x-far-tick-offset
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max-x-far-tick-label-height
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(* 1/2 char-height))))
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(list (plot-x-far-label) (v- (view->dc (vector (* 1/2 (+ x-min x-max)) y-max)) offset)
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'bottom))
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(define (get-y-far-label-params)
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(define offset (vector (+ max-y-far-tick-offset
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max-y-far-tick-label-width
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(* 1/2 char-height))
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0))
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(list (plot-y-far-label) (v+ (view->dc (vector x-max (* 1/2 (+ y-min y-max)))) offset)
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'top (/ pi 2)))
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;; ===============================================================================================
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;; Tick label parameters
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(define (get-x-tick-label-params)
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(define offset (vector 0 (+ (pen-gap) (* 1/2 (plot-tick-size)))))
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(for/list ([t (in-list x-ticks)] #:when (pre-tick-major? t))
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(match-define (tick x _ label) t)
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(list label (v+ (plot->dc* (vector x y-min)) offset) 'top)))
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(define (get-y-tick-label-params)
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(define offset (vector (+ (pen-gap) (* 1/2 (plot-tick-size))) 0))
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(for/list ([t (in-list y-ticks)] #:when (pre-tick-major? t))
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(match-define (tick y _ label) t)
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(list label (v- (plot->dc* (vector x-min y)) offset) 'right)))
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(define (get-x-far-tick-label-params)
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(define offset (vector 0 (+ (pen-gap) (* 1/2 (plot-tick-size)))))
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(for/list ([t (in-list x-far-ticks)] #:when (pre-tick-major? t))
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(match-define (tick x _ label) t)
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(list label (v- (plot->dc* (vector x y-max)) offset) 'bottom)))
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(define (get-y-far-tick-label-params)
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(define offset (vector (+ (pen-gap) (* 1/2 (plot-tick-size))) 0))
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(for/list ([t (in-list y-far-ticks)] #:when (pre-tick-major? t))
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(match-define (tick y _ label) t)
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(list label (v+ (plot->dc* (vector x-max y)) offset) 'left)))
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;; ===============================================================================================
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;; Tick parameters
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(define (get-tick-params)
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(cond [(plot-decorations?)
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(define radius (* 1/2 (plot-tick-size)))
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(define 1/2radius (* 1/2 radius))
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(append
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(for/list ([t (in-list (if (plot-x-axis?) x-ticks empty))])
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(match-define (tick x major? _) t)
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(list major? (plot->dc* (vector x y-min)) (if major? radius 1/2radius) (* 1/2 pi)))
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(for/list ([t (in-list (if (plot-y-axis?) y-ticks empty))])
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(match-define (tick y major? _) t)
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(list major? (plot->dc* (vector x-min y)) (if major? radius 1/2radius) 0))
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(for/list ([t (in-list (if (plot-x-far-axis?) x-far-ticks empty))])
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(match-define (tick x major? _) t)
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(list major? (plot->dc* (vector x y-max)) (if major? radius 1/2radius) (* 1/2 pi)))
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(for/list ([t (in-list (if (plot-y-far-axis?) y-far-ticks empty))])
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(match-define (tick y major? _) t)
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(list major? (plot->dc* (vector x-max y)) (if major? radius 1/2radius) 0)))]
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[else empty]))
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;; ===============================================================================================
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;; Fixpoint margin computation
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(define (get-label-params)
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(cond [(plot-decorations?)
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(append (if (plot-x-label) (list (get-x-label-params)) empty)
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(if (plot-y-label) (list (get-y-label-params)) empty)
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(if (plot-x-far-label) (list (get-x-far-label-params)) empty)
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(if (plot-y-far-label) (list (get-y-far-label-params)) empty)
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(if (plot-x-axis?) (get-x-tick-label-params) empty)
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(if (plot-y-axis?) (get-y-tick-label-params) empty)
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(if (and (plot-x-far-axis?) draw-x-far-tick-labels?)
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(get-x-far-tick-label-params)
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empty)
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(if (and (plot-y-far-axis?) draw-y-far-tick-labels?)
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(get-y-far-tick-label-params)
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empty))]
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[else empty]))
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(define (new-margins left right top bottom label-params tick-params)
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(match-define (list (vector label-xs label-ys) ...)
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(append* (map (λ (params) (send/apply pd get-text-corners params)) label-params)))
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(match-define (list (vector tick-xs tick-ys) ...)
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(append* (map (λ (params) (send/apply pd get-tick-endpoints (rest params))) tick-params)))
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(define xs (append label-xs tick-xs))
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(define ys (append label-ys tick-ys))
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(define param-x-min (apply min dc-x-min xs))
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(define param-x-max (apply max (sub1 dc-x-max) xs))
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(define param-y-min (apply min title-y-min ys))
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(define param-y-max (apply max (sub1 dc-y-max) ys))
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(values (+ left (- dc-x-min param-x-min))
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(- right (- (sub1 dc-x-max) param-x-max))
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(+ top (- title-y-min param-y-min))
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(- bottom (- (sub1 dc-y-max) param-y-max))))
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(define-values (area-x-min right area-y-min bottom)
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(for/fold ([left 0] [right 0] [top init-top-margin] [bottom 0]) ([i (in-range 5)])
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(define-values (new-left new-right new-top new-bottom)
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(new-margins left right top bottom (get-label-params) (get-tick-params)))
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(set! view->dc (make-view->dc new-left new-right new-top new-bottom))
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;(printf "margins: ~v ~v ~v ~v~n" new-left new-right new-top new-bottom)
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(values new-left new-right new-top new-bottom)))
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(define area-x-max (- dc-x-max right))
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(define area-y-max (- dc-y-max bottom))
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;; ===============================================================================================
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;; Plot decoration
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(define (draw-labels)
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(for ([params (in-list (get-label-params))])
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(send/apply pd draw-text params)))
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(define (draw-ticks)
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(for ([params (in-list (get-tick-params))])
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(match-define (list major? v r angle) params)
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(if major? (put-major-pen) (put-minor-pen))
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(send pd draw-tick v r angle)))
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(define (draw-title)
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(when (and (plot-decorations?) (plot-title))
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(send pd draw-text (plot-title) (vector (* 1/2 (+ dc-x-min dc-x-max)) dc-y-min) 'top)))
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(define (draw-borders)
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(when (plot-decorations?)
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(put-minor-pen)
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(when (plot-x-axis?) (send pd draw-line
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(vector area-x-min area-y-max)
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(vector area-x-max area-y-max)))
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(when (plot-x-far-axis?) (send pd draw-line
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(vector area-x-min area-y-min)
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(vector area-x-max area-y-min)))
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(when (plot-y-axis?) (send pd draw-line
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(vector area-x-min area-y-min)
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(vector area-x-min area-y-max)))
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(when (plot-y-far-axis?) (send pd draw-line
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(vector area-x-max area-y-min)
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(vector area-x-max area-y-max)))))
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;; ===============================================================================================
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;; Public drawing control (used by plot/dc)
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(define/public (start-plot)
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(send pd reset-drawing-params)
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(send pd clear)
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(draw-borders)
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(draw-ticks))
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(define/public (start-renderer rx-min rx-max ry-min ry-max)
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(send pd reset-drawing-params)
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(send pd set-clipping-rect (vector (+ 1/2 (- area-x-min (plot-line-width)))
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(+ 1/2 (- area-y-min (plot-line-width))))
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(vector (+ area-x-max (plot-line-width))
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(+ area-y-max (plot-line-width))))
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(clip-to-bounds rx-min rx-max ry-min ry-max))
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(define/public (end-renderers)
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(send pd clear-clipping-rect)
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(clip-to-none)
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(send pd reset-drawing-params)
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(draw-title)
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(draw-labels))
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(define/public (draw-legend legend-entries)
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(define gap-size (+ (pen-gap) (* 1/2 (plot-tick-size))))
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(send pd draw-legend
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legend-entries
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(+ area-x-min gap-size) (- area-x-max gap-size)
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(+ area-y-min gap-size) (- area-y-max gap-size)))
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(define/public (end-plot)
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(send pd restore-drawing-params))
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;; ===============================================================================================
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;; Public drawing interface (used by renderers)
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(define/public (get-plot-device) pd)
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(define/public (put-alpha alpha) (send pd set-alpha alpha))
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(define/public (put-pen color width style) (send pd set-pen color width style))
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(define/public (put-major-pen [style 'solid]) (send pd set-major-pen style))
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(define/public (put-minor-pen [style 'solid]) (send pd set-minor-pen style))
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(define/public (put-brush color style) (send pd set-brush color style))
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(define/public (put-background color) (send pd set-background color))
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(define/public (put-font-size size) (send pd set-font-size size))
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(define/public (put-font-family family) (send pd set-font-family family))
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(define/public (put-font size family) (send pd set-font size family))
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(define/public (put-text-foreground color) (send pd set-text-foreground color))
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;; Shapes
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(define/public (put-lines vs)
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(for ([vs (vregular-sublists vs)])
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(for ([vs (if clipping?
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(in-list (clip-lines vs clip-x-min clip-x-max
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clip-y-min clip-y-max))
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(in-value vs))])
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(when (not (empty? vs))
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(let ([vs (if identity-transforms? vs (subdivide-lines plot->dc* vs))])
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(send pd draw-lines (map (λ (v) (plot->dc* v)) vs)))))))
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(define/public (put-line v1 v2)
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(when (and (vregular? v1) (vregular? v2))
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(let-values ([(v1 v2) (if clipping?
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(clip-line v1 v2 clip-x-min clip-x-max
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clip-y-min clip-y-max)
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(values v1 v2))])
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(when (and v1 v2)
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(if identity-transforms?
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(send pd draw-line (plot->dc* v1) (plot->dc* v2))
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(send pd draw-lines (map (λ (v) (plot->dc* v))
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(subdivide-line plot->dc* v1 v2))))))))
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(define/public (put-polygon vs)
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(when (andmap vregular? vs)
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(let* ([vs (if clipping?
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(clip-polygon vs clip-x-min clip-x-max
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clip-y-min clip-y-max)
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vs)])
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(when (not (empty? vs))
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(if identity-transforms?
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(send pd draw-polygon (map (λ (v) (plot->dc* v)) vs))
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(send pd draw-polygon (map (λ (v) (plot->dc* v))
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(subdivide-polygon plot->dc* vs))))))))
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(define/public (put-rectangle v1 v2)
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(when (and (vregular? v1) (vregular? v2))
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(let-values ([(v1 v2) (if clipping?
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(clip-rectangle v1 v2 clip-x-min clip-x-max
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clip-y-min clip-y-max)
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(values v1 v2))])
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(when (and v1 v2)
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(send pd draw-rectangle (plot->dc* v1) (plot->dc* v2))))))
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(define/public (put-text str v [anchor 'top-left] [angle 0]
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#:outline? [outline? #f])
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(when (and (vregular? v) (in-bounds? v))
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(send pd draw-text str (plot->dc* v) anchor angle #:outline? outline?)))
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(define/public (put-glyphs vs symbol size)
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(send pd draw-glyphs (map (λ (v) (plot->dc* v))
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(filter (λ (v) (and (vregular? v) (in-bounds? v)))
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vs))
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symbol size))
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(define/public (put-arrow v1 v2)
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(when (and (vregular? v1) (vregular? v2) (in-bounds? v1))
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(send pd draw-arrow (plot->dc* v1) (plot->dc* v2))))
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(define/public (put-tick v r angle)
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(when (and (vregular? v) (in-bounds? v))
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(send pd draw-tick (plot->dc* v) r angle)))
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))
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