911 lines
41 KiB
Racket
911 lines
41 KiB
Racket
#lang racket/base
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(require racket/class racket/match racket/list racket/math racket/contract racket/vector racket/flonum
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unstable/flonum
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"../common/math.rkt"
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"../common/plot-device.rkt"
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"../common/ticks.rkt"
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"../common/draw.rkt"
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"../common/contract.rkt"
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"../common/axis-transform.rkt"
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"../common/parameters.rkt"
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"../common/sample.rkt"
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"../common/utils.rkt"
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"matrix.rkt"
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"shape.rkt"
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"clip.rkt")
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(provide (all-defined-out))
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(define plot3d-subdivisions (make-parameter 0))
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(define 3d-plot-area%
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(class object%
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(init-field bounds-rect rx-ticks rx-far-ticks ry-ticks ry-far-ticks rz-ticks rz-far-ticks)
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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 half-char-height (* 1/2 char-height))
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(match-define (vector (ivl x-min x-max) (ivl y-min y-max) (ivl z-min z-max)) bounds-rect)
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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 z-size (- z-max z-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 z-mid (* 1/2 (+ z-min z-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 clip-z-min z-min)
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(define clip-z-max z-max)
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(define/public (put-clip-rect rect)
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(match-define (vector (ivl rx-min rx-max) (ivl ry-min ry-max) (ivl rz-min rz-max)) rect)
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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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(define cz-min (if rz-min (max* z-min rz-min) z-min))
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(define cz-max (if rz-max (min* z-max rz-max) z-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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[cz-min (min* cz-min cz-max)]
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[cz-max (max* cz-min cz-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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(set! clip-z-min cz-min)
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(set! clip-z-max cz-max))
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(set! clipping? #t))
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(define/public (clear-clip-rect) (set! clipping? #f))
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(define (in-bounds? v)
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(or (not clipping?) (point-in-bounds? v clip-x-min clip-x-max
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clip-y-min clip-y-max
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clip-z-min clip-z-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-z-ticks) z-ticks)
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(define/public (get-z-far-ticks) z-far-ticks)
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(define/public (get-bounds-rect) bounds-rect)
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(define/public (get-clip-rect)
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(if clipping?
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(vector (ivl clip-x-min clip-x-max) (ivl clip-y-min clip-y-max) (ivl clip-z-min clip-z-max))
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bounds-rect))
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(define angle (plot3d-angle))
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(define altitude (plot3d-altitude))
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;; FLOATING-POINT HACK: Adding an epsilon to the angle ensures that, when it is 90, 180
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;; or 270, the x/y/z tick labels are drawn on the left side.
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(define theta (+ (degrees->radians angle) 0.00001))
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(define rho (degrees->radians altitude))
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;; There are four coordinate systems:
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;; 1. Plot coordinates (original, user-facing coordinate system)
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;; 2. Normalized coordinates (from plot coordinates: for each axis: transform, center, and scale
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;; to [-1/2,1/2]) - these are always vectors of flonum
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;; 3. View coordinates (from normalized coordinates: rotate)
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;; 4. Device context coordinates (from view coordinates: project to 2D)
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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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(match-define (invertible-function fz _) (apply-axis-transform (plot-z-transform) z-min z-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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(equal? (plot-z-transform) id-transform)))
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(define flonum-ok? (flonum-ok-for-3d? x-min x-max y-min y-max z-min z-max))
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(define plot->norm
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(if flonum-ok?
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(let-map
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(x-mid y-mid z-mid x-size y-size z-size) exact->inexact
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(if identity-transforms?
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(match-lambda
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[(vector x y z)
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(vector (fl/ (fl- (exact->inexact x) x-mid) x-size)
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(fl/ (fl- (exact->inexact y) y-mid) y-size)
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(fl/ (fl- (exact->inexact z) z-mid) z-size))])
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(match-lambda
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[(vector (? rational? x) (? rational? y) (? rational? z))
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(vector (fl/ (fl- (exact->inexact (fx x)) x-mid) x-size)
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(fl/ (fl- (exact->inexact (fy y)) y-mid) y-size)
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(fl/ (fl- (exact->inexact (fz z)) z-mid) z-size))]
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[(vector x y z) (vector +nan.0 +nan.0 +nan.0)])))
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(if identity-transforms?
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(match-lambda
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[(vector (? rational? x) (? rational? y) (? rational? z))
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(vector (exact->inexact (/ (- (inexact->exact x) x-mid) x-size))
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(exact->inexact (/ (- (inexact->exact y) y-mid) y-size))
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(exact->inexact (/ (- (inexact->exact z) z-mid) z-size)))]
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[(vector x y z)
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(vector +nan.0 +nan.0 +nan.0)])
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(match-lambda
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[(vector (? rational? x) (? rational? y) (? rational? z))
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(vector (exact->inexact (/ (- (inexact->exact (fx x)) x-mid) x-size))
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(exact->inexact (/ (- (inexact->exact (fy y)) y-mid) y-size))
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(exact->inexact (/ (- (inexact->exact (fz z)) z-mid) z-size)))]
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[(vector x y z)
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(vector +nan.0 +nan.0 +nan.0)]))))
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(define rotate-theta-matrix (m3-rotate-z theta))
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(define rotate-rho-matrix (m3-rotate-x rho))
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(define rotation-matrix (m3* rotate-rho-matrix rotate-theta-matrix))
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(define (norm->view v) (m3-apply rotation-matrix v))
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(define (plot->view v) (norm->view (plot->norm v)))
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(define (plot->view/no-rho v) (m3-apply rotate-theta-matrix (plot->norm v)))
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(define (norm->view/no-rho v) (m3-apply rotate-theta-matrix v))
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(define (rotate/rho v) (m3-apply rotate-rho-matrix v))
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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 (norm->dc v) (view->dc (norm->view v)))
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(define-values (view-x-size view-y-size view-z-size)
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(match-let ([(vector view-x-ivl view-y-ivl view-z-ivl)
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(bounding-rect
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(map plot->view (list (vector x-min y-min z-min) (vector x-min y-min z-max)
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(vector x-min y-max z-min) (vector x-min y-max z-max)
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(vector x-max y-min z-min) (vector x-max y-min z-max)
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(vector x-max y-max z-min) (vector x-max y-max z-max))))])
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(values (ivl-length view-x-ivl) (ivl-length view-y-ivl) (ivl-length view-z-ivl))))
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(define (make-view->dc left right top bottom)
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(define area-x-min left)
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(define area-x-max (- dc-x-size right))
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(define area-y-min top)
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(define area-y-max (- dc-y-size bottom))
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(define area-x-mid (* 1/2 (+ area-x-min area-x-max)))
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(define area-y-mid (* 1/2 (+ area-y-min area-y-max)))
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(define area-per-view-x (/ (- area-x-max area-x-min) view-x-size))
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(define area-per-view-z (/ (- area-y-max area-y-min) view-z-size))
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(let-map
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(area-x-mid area-y-mid area-per-view-x area-per-view-z) exact->inexact
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(λ (v)
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(match-define (vector x _ z) v)
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(vector (fl+ area-x-mid (fl* x area-per-view-x))
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(fl- area-y-mid (fl* z area-per-view-z))))))
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;; Initial view->dc
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(define init-top-margin (if (and (plot-decorations?) (plot-title)) (* 3/2 char-height) 0))
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(set! view->dc (make-view->dc 0 0 init-top-margin 0))
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(define (x-axis-angle)
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(match-define (vector dx dy) (v- (norm->dc (vector 0.5 0.0 0.0))
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(norm->dc (vector -0.5 0.0 0.0))))
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(- (atan2 (- dy) dx)))
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(define (y-axis-angle)
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(match-define (vector dx dy) (v- (norm->dc (vector 0.0 0.5 0.0))
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(norm->dc (vector 0.0 -0.5 0.0))))
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(- (atan2 (- dy) dx)))
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(define (x-axis-dir)
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(vnormalize (v- (norm->dc (vector 0.5 0.0 0.0))
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(norm->dc (vector -0.5 0.0 0.0)))))
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(define (y-axis-dir)
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(vnormalize (v- (norm->dc (vector 0.0 0.5 0.0))
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(norm->dc (vector 0.0 -0.5 0.0)))))
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;; ===============================================================================================
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;; Tick and label constants
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(define tick-radius (* 1/2 (plot-tick-size)))
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(define half-tick-radius (* 1/2 tick-radius))
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(define x-axis-y-min? ((cos theta) . >= . 0)) ; #t iff x near labels should be drawn at y-min
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(define y-axis-x-min? ((sin theta) . >= . 0)) ; #t iff y near labels should be drawn at x-min
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(define x-axis-y (if x-axis-y-min? y-min y-max))
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(define y-axis-x (if y-axis-x-min? x-min x-max))
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(define z-axis-x (if x-axis-y-min? x-min x-max))
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(define z-axis-y (if y-axis-x-min? y-max y-min))
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(define x-far-axis-y (if x-axis-y-min? y-max y-min))
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(define y-far-axis-x (if y-axis-x-min? x-max x-min))
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(define z-far-axis-x (if x-axis-y-min? x-max x-min))
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(define z-far-axis-y (if y-axis-x-min? y-min y-max))
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(define x-axis-norm-y (if x-axis-y-min? -0.5 0.5))
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(define y-axis-norm-x (if y-axis-x-min? -0.5 0.5))
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(define z-axis-norm-x (if x-axis-y-min? -0.5 0.5))
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(define z-axis-norm-y (if y-axis-x-min? 0.5 -0.5))
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(define x-far-axis-norm-y (if x-axis-y-min? 0.5 -0.5))
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(define y-far-axis-norm-x (if y-axis-x-min? 0.5 -0.5))
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(define z-far-axis-norm-x (if x-axis-y-min? 0.5 -0.5))
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(define z-far-axis-norm-y (if y-axis-x-min? -0.5 0.5))
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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-ticks-near? y) t1 t2)
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(vnear? (vector (pre-tick-value t1) y z-min)
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(vector (pre-tick-value t2) y z-min)))
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(define ((y-ticks-near? x) t1 t2)
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(vnear? (vector x (pre-tick-value t1) z-min)
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(vector x (pre-tick-value t2) z-min)))
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(define ((z-ticks-near? x y) t1 t2)
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(vnear? (vector x y (pre-tick-value t1))
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(vector x y (pre-tick-value t2))))
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(define x-ticks
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(collapse-ticks (filter (λ (t) (<= x-min (pre-tick-value t) x-max))
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(map tick-inexact->exact rx-ticks))
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(x-ticks-near? x-axis-y)))
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(define y-ticks
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(collapse-ticks (filter (λ (t) (<= y-min (pre-tick-value t) y-max))
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(map tick-inexact->exact ry-ticks))
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(y-ticks-near? y-axis-x)))
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(define z-ticks
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(collapse-ticks (filter (λ (t) (<= z-min (pre-tick-value t) z-max))
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(map tick-inexact->exact rz-ticks))
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(z-ticks-near? z-axis-x z-axis-y)))
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(define x-far-ticks
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(collapse-ticks (filter (λ (t) (<= x-min (pre-tick-value t) x-max))
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(map tick-inexact->exact rx-far-ticks))
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(x-ticks-near? x-far-axis-y)))
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(define y-far-ticks
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(collapse-ticks (filter (λ (t) (<= y-min (pre-tick-value t) y-max))
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(map tick-inexact->exact ry-far-ticks))
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(y-ticks-near? y-far-axis-x)))
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(define z-far-ticks
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(collapse-ticks (filter (λ (t) (<= z-min (pre-tick-value t) z-max))
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(map tick-inexact->exact rz-far-ticks))
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(z-ticks-near? z-far-axis-x z-far-axis-y)))
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;; ===============================================================================================
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;; Tick and label parameters, and fixpoint margin computation
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;; From here through "All parameters" are functions that compute *just the parameters* of ticks
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;; and labels that will be drawn on the plot. We have to separate computing parameters from
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;; actually drawing the ticks and labels so we can solve for the plot margins using a fixpoint
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;; computation. See ../common/draw.rkt for more explanation. (Search for 'margin-fixpoint'.)
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;; -----------------------------------------------------------------------------------------------
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;; Tick parameters
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(define (x-tick-value->view x) (plot->view (vector x x-axis-y z-min)))
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(define (y-tick-value->view y) (plot->view (vector y-axis-x y z-min)))
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(define (x-tick-value->dc x) (view->dc (x-tick-value->view x)))
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(define (y-tick-value->dc y) (view->dc (y-tick-value->view y)))
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(define (z-tick-value->dc z) (plot->dc (vector z-axis-x z-axis-y z)))
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(define (x-far-tick-value->view x) (plot->view (vector x x-far-axis-y z-min)))
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(define (y-far-tick-value->view y) (plot->view (vector y-far-axis-x y z-min)))
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(define (x-far-tick-value->dc x) (view->dc (x-far-tick-value->view x)))
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(define (y-far-tick-value->dc y) (view->dc (y-far-tick-value->view y)))
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(define (z-far-tick-value->dc z) (plot->dc (vector z-far-axis-x z-far-axis-y z)))
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(define (get-tick-params ticks tick-value->dc angle)
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(for/list ([t (in-list ticks)])
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(match-define (tick p major? _) t)
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(list major? (tick-value->dc p) (if major? tick-radius half-tick-radius) angle)))
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(define (get-x-tick-params)
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(if (plot-x-axis?) (get-tick-params x-ticks x-tick-value->dc (y-axis-angle)) empty))
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(define (get-y-tick-params)
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(if (plot-y-axis?) (get-tick-params y-ticks y-tick-value->dc (x-axis-angle)) empty))
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(define (get-z-tick-params)
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(if (plot-z-axis?) (get-tick-params z-ticks z-tick-value->dc 0) empty))
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(define (get-x-far-tick-params)
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(if (plot-x-far-axis?) (get-tick-params x-far-ticks x-far-tick-value->dc (y-axis-angle)) empty))
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(define (get-y-far-tick-params)
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(if (plot-y-far-axis?) (get-tick-params y-far-ticks y-far-tick-value->dc (x-axis-angle)) empty))
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(define (get-z-far-tick-params)
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(if (plot-z-far-axis?) (get-tick-params z-far-ticks z-far-tick-value->dc 0) empty))
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;; -----------------------------------------------------------------------------------------------
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;; Tick label parameters
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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 draw-z-far-tick-labels? (not (and (plot-z-axis?) (equal? z-ticks z-far-ticks))))
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(define (sort-ticks ticks tick-value->view)
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(sort ticks > #:key (λ (t) (vector-ref (tick-value->view (pre-tick-value t)) 2))
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#:cache-keys? #t))
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(define (opposite-anchor a)
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(case a
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[(top-left) 'bottom-right] [(top) 'bottom] [(top-right) 'bottom-left] [(right) 'left]
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[(bottom-right) 'top-left] [(bottom) 'top] [(bottom-left) 'top-right] [(left) 'right]))
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(define x-tick-label-anchor
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(let ([s (sin theta)])
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(cond [(s . < . (sin (degrees->radians -67.5))) (if x-axis-y-min? 'top-right 'top-left)]
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[(s . < . (sin (degrees->radians -22.5))) (if x-axis-y-min? 'top-right 'top-left)]
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[(s . < . (sin (degrees->radians 22.5))) 'top]
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[(s . < . (sin (degrees->radians 67.5))) (if x-axis-y-min? 'top-left 'top-right)]
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[else (if x-axis-y-min? 'top-left 'top-right)])))
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(define y-tick-label-anchor
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(let ([c (cos theta)])
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(cond [(c . > . (cos (degrees->radians 22.5))) (if y-axis-x-min? 'top-right 'top-left)]
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[(c . > . (cos (degrees->radians 67.5))) (if y-axis-x-min? 'top-right 'top-left)]
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[(c . > . (cos (degrees->radians 112.5))) 'top]
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[(c . > . (cos (degrees->radians 157.5))) (if y-axis-x-min? 'top-left 'top-right)]
|
|
[else (if y-axis-x-min? 'top-left 'top-right)])))
|
|
|
|
(define z-tick-label-anchor 'right)
|
|
|
|
(define x-far-tick-label-anchor (opposite-anchor x-tick-label-anchor))
|
|
(define y-far-tick-label-anchor (opposite-anchor y-tick-label-anchor))
|
|
(define z-far-tick-label-anchor 'left)
|
|
|
|
(define (get-tick-label-params ticks tick-value->dc offset-dir anchor)
|
|
(define dist (+ (pen-gap) tick-radius))
|
|
(for/list ([t (in-list ticks)] #:when (pre-tick-major? t))
|
|
(match-define (tick x _ label) t)
|
|
(list label (v+ (tick-value->dc x) (v* offset-dir dist)) anchor)))
|
|
|
|
(define (get-x-tick-label-params)
|
|
(if (plot-x-axis?)
|
|
(let ([offset (if x-axis-y-min? (vneg (y-axis-dir)) (y-axis-dir))])
|
|
(get-tick-label-params (sort-ticks x-ticks x-tick-value->view)
|
|
x-tick-value->dc offset x-tick-label-anchor))
|
|
empty))
|
|
|
|
(define (get-y-tick-label-params)
|
|
(if (plot-y-axis?)
|
|
(let ([offset (if y-axis-x-min? (vneg (x-axis-dir)) (x-axis-dir))])
|
|
(get-tick-label-params (sort-ticks y-ticks y-tick-value->view)
|
|
y-tick-value->dc offset y-tick-label-anchor))
|
|
empty))
|
|
|
|
(define (get-z-tick-label-params)
|
|
(if (plot-z-axis?)
|
|
(get-tick-label-params z-ticks z-tick-value->dc #(-1 0) z-tick-label-anchor)
|
|
empty))
|
|
|
|
(define (get-x-far-tick-label-params)
|
|
(if (and (plot-x-far-axis?) draw-x-far-tick-labels?)
|
|
(let ([offset (if x-axis-y-min? (y-axis-dir) (vneg (y-axis-dir)))])
|
|
(get-tick-label-params (sort-ticks x-far-ticks x-far-tick-value->view)
|
|
x-far-tick-value->dc offset x-far-tick-label-anchor))
|
|
empty))
|
|
|
|
(define (get-y-far-tick-label-params)
|
|
(if (and (plot-y-far-axis?) draw-y-far-tick-labels?)
|
|
(let ([offset (if y-axis-x-min? (x-axis-dir) (vneg (x-axis-dir)))])
|
|
(get-tick-label-params (sort-ticks y-far-ticks y-far-tick-value->view)
|
|
y-far-tick-value->dc offset y-far-tick-label-anchor))
|
|
empty))
|
|
|
|
(define (get-z-far-tick-label-params)
|
|
(if (and (plot-z-far-axis?) draw-z-far-tick-labels?)
|
|
(get-tick-label-params z-far-ticks z-far-tick-value->dc #(1 0) z-far-tick-label-anchor)
|
|
empty))
|
|
|
|
;; -----------------------------------------------------------------------------------------------
|
|
;; Axis label parameters
|
|
|
|
(define (max-tick-offset ts)
|
|
(cond [(empty? ts) 0]
|
|
[(ormap pre-tick-major? ts) (+ (pen-gap) tick-radius)]
|
|
[else (+ (pen-gap) (* 1/4 (plot-tick-size)))]))
|
|
|
|
(define max-x-tick-offset (if (plot-x-axis?) (max-tick-offset x-ticks) 0))
|
|
(define max-y-tick-offset (if (plot-y-axis?) (max-tick-offset y-ticks) 0))
|
|
|
|
(define max-x-far-tick-offset (if (plot-x-far-axis?) (max-tick-offset x-far-ticks) 0))
|
|
(define max-y-far-tick-offset (if (plot-y-far-axis?) (max-tick-offset y-far-ticks) 0))
|
|
|
|
(define (max-tick-label-height ts)
|
|
(if (ormap pre-tick-major? ts) char-height 0))
|
|
|
|
(define (max-tick-label-width ts)
|
|
(apply max 0 (for/list ([t (in-list ts)] #:when (pre-tick-major? t))
|
|
(send pd get-text-width (tick-label t)))))
|
|
|
|
(define max-x-tick-label-width (max-tick-label-width x-ticks))
|
|
(define max-y-tick-label-width (max-tick-label-width y-ticks))
|
|
(define max-z-tick-label-width (max-tick-label-width z-ticks))
|
|
(define max-x-tick-label-height (max-tick-label-height x-ticks))
|
|
(define max-y-tick-label-height (max-tick-label-height y-ticks))
|
|
(define max-z-tick-label-height (max-tick-label-height z-ticks))
|
|
|
|
(define max-x-far-tick-label-width (max-tick-label-width x-far-ticks))
|
|
(define max-y-far-tick-label-width (max-tick-label-width y-far-ticks))
|
|
(define max-z-far-tick-label-width (max-tick-label-width z-far-ticks))
|
|
(define max-x-far-tick-label-height (max-tick-label-height x-far-ticks))
|
|
(define max-y-far-tick-label-height (max-tick-label-height y-far-ticks))
|
|
(define max-z-far-tick-label-height (max-tick-label-height z-far-ticks))
|
|
|
|
(define (max-tick-label-diag axis-dc-dir max-tick-label-width max-tick-label-height)
|
|
(match-define (vector dx dy) axis-dc-dir)
|
|
(+ (* (abs dx) max-tick-label-width) (* (abs dy) max-tick-label-height)))
|
|
|
|
(define (max-x-tick-label-diag)
|
|
(if (plot-x-axis?)
|
|
(max-tick-label-diag (y-axis-dir) max-x-tick-label-width max-x-tick-label-height)
|
|
0))
|
|
|
|
(define (max-y-tick-label-diag)
|
|
(if (plot-y-axis?)
|
|
(max-tick-label-diag (x-axis-dir) max-y-tick-label-width max-y-tick-label-height)
|
|
0))
|
|
|
|
(define (max-x-far-tick-label-diag)
|
|
(if (and (plot-x-far-axis?) draw-x-far-tick-labels?)
|
|
(max-tick-label-diag (y-axis-dir) max-x-far-tick-label-width max-x-far-tick-label-height)
|
|
0))
|
|
|
|
(define (max-y-far-tick-label-diag)
|
|
(if (and (plot-y-far-axis?) draw-y-far-tick-labels?)
|
|
(max-tick-label-diag (x-axis-dir) max-y-far-tick-label-width max-y-far-tick-label-height)
|
|
0))
|
|
|
|
(define (get-x-label-params)
|
|
(define v0 (norm->dc (vector 0.0 x-axis-norm-y -0.5)))
|
|
(define dist (+ max-x-tick-offset (max-x-tick-label-diag) half-char-height))
|
|
(list (plot-x-label) (v+ v0 (v* (y-axis-dir) (if x-axis-y-min? (- dist) dist)))
|
|
'top (- (if x-axis-y-min? 0 pi) (x-axis-angle))))
|
|
|
|
(define (get-y-label-params)
|
|
(define v0 (norm->dc (vector y-axis-norm-x 0.0 -0.5)))
|
|
(define dist (+ max-y-tick-offset (max-y-tick-label-diag) half-char-height))
|
|
(list (plot-y-label) (v+ v0 (v* (x-axis-dir) (if y-axis-x-min? (- dist) dist)))
|
|
'top (- (if y-axis-x-min? pi 0) (y-axis-angle))))
|
|
|
|
(define (get-z-label-params)
|
|
(list (plot-z-label) (v+ (plot->dc (vector z-axis-x z-axis-y z-max))
|
|
(vector 0 (- half-char-height)))
|
|
'bottom-left 0))
|
|
|
|
(define (get-x-far-label-params)
|
|
(define v0 (norm->dc (vector 0.0 x-far-axis-norm-y -0.5)))
|
|
(define dist (+ max-x-far-tick-offset (max-x-far-tick-label-diag) half-char-height))
|
|
(list (plot-x-far-label) (v+ v0 (v* (y-axis-dir) (if x-axis-y-min? dist (- dist))))
|
|
'bottom (- (if x-axis-y-min? 0 pi) (x-axis-angle))))
|
|
|
|
(define (get-y-far-label-params)
|
|
(define v0 (norm->dc (vector y-far-axis-norm-x 0.0 -0.5)))
|
|
(define dist (+ max-y-far-tick-offset (max-y-far-tick-label-diag) half-char-height))
|
|
(list (plot-y-far-label) (v+ v0 (v* (x-axis-dir) (if y-axis-x-min? dist (- dist))))
|
|
'bottom (- (if y-axis-x-min? pi 0) (y-axis-angle))))
|
|
|
|
(define (get-z-far-label-params)
|
|
(list (plot-z-far-label) (v+ (plot->dc (vector z-far-axis-x z-far-axis-y z-max))
|
|
(vector 0 (- half-char-height)))
|
|
'bottom-right 0))
|
|
|
|
;; -----------------------------------------------------------------------------------------------
|
|
;; All parameters
|
|
|
|
;; Within each get-back-* or get-front-*, the parameters are ordered (roughly) back-to-front
|
|
|
|
(define (get-back-label-params)
|
|
(if (plot-decorations?)
|
|
(append (if (plot-x-far-label) (list (get-x-far-label-params)) empty)
|
|
(if (plot-y-far-label) (list (get-y-far-label-params)) empty)
|
|
(get-x-far-tick-label-params)
|
|
(get-y-far-tick-label-params))
|
|
empty))
|
|
|
|
(define (get-front-label-params)
|
|
(if (plot-decorations?)
|
|
(append (get-z-tick-label-params)
|
|
(get-z-far-tick-label-params)
|
|
(get-x-tick-label-params)
|
|
(get-y-tick-label-params)
|
|
(if (plot-x-label) (list (get-x-label-params)) empty)
|
|
(if (plot-y-label) (list (get-y-label-params)) empty)
|
|
(if (plot-z-label) (list (get-z-label-params)) empty)
|
|
(if (plot-z-far-label) (list (get-z-far-label-params)) empty))
|
|
empty))
|
|
|
|
(define (get-back-tick-params)
|
|
(if (plot-decorations?)
|
|
(append (if (plot-x-far-axis?) (get-x-far-tick-params) empty)
|
|
(if (plot-y-far-axis?) (get-y-far-tick-params) empty)
|
|
(if (plot-x-axis?) (get-x-tick-params) empty)
|
|
(if (plot-y-axis?) (get-y-tick-params) empty))
|
|
empty))
|
|
|
|
|
|
(define (get-front-tick-params)
|
|
(if (plot-decorations?)
|
|
(append (if (plot-z-axis?) (get-z-tick-params) empty)
|
|
(if (plot-z-far-axis?) (get-z-far-tick-params) empty))
|
|
empty))
|
|
|
|
(define (get-all-tick-params)
|
|
(append (get-back-tick-params) (get-front-tick-params)))
|
|
|
|
(define (get-all-label-params)
|
|
(append (get-back-label-params) (get-front-label-params)))
|
|
|
|
;; -----------------------------------------------------------------------------------------------
|
|
;; Fixpoint margin computation
|
|
|
|
(define (get-param-vs/set-view->dc! left right top bottom)
|
|
;(printf "margins: ~v ~v ~v ~v~n" left right top bottom)
|
|
;(printf "label params = ~v~n" (get-all-label-params))
|
|
;(printf "tick params = ~v~n" (get-all-tick-params))
|
|
(set! view->dc (make-view->dc left right top bottom))
|
|
;(printf "~v~n" (get-all-tick-params))
|
|
(append (append* (map (λ (params) (send/apply pd get-text-corners params))
|
|
(get-all-label-params)))
|
|
(append* (map (λ (params) (send/apply pd get-tick-endpoints (rest params)))
|
|
(get-all-tick-params)))))
|
|
|
|
(define-values (left right top bottom)
|
|
(margin-fixpoint 0 dc-x-size 0 dc-y-size 0 0 init-top-margin 0 get-param-vs/set-view->dc!))
|
|
|
|
(define area-x-min left)
|
|
(define area-x-max (- dc-x-size right))
|
|
(define area-y-min top)
|
|
(define area-y-max (- dc-y-size bottom))
|
|
|
|
;; ===============================================================================================
|
|
;; Plot decoration
|
|
|
|
(define (draw-title)
|
|
(when (and (plot-decorations?) (plot-title))
|
|
(send pd draw-text (plot-title) (vector (* 1/2 dc-x-size) 0) 'top)))
|
|
|
|
(define (draw-back-axes)
|
|
(when (plot-decorations?)
|
|
(send pd set-minor-pen)
|
|
(when (plot-x-axis?)
|
|
(send pd draw-line
|
|
(norm->dc (vector -0.5 x-axis-norm-y -0.5))
|
|
(norm->dc (vector 0.5 x-axis-norm-y -0.5))))
|
|
(when (plot-x-far-axis?)
|
|
(send pd draw-line
|
|
(norm->dc (vector -0.5 x-far-axis-norm-y -0.5))
|
|
(norm->dc (vector 0.5 x-far-axis-norm-y -0.5))))
|
|
(when (plot-y-axis?)
|
|
(send pd draw-line
|
|
(norm->dc (vector y-axis-norm-x -0.5 -0.5))
|
|
(norm->dc (vector y-axis-norm-x 0.5 -0.5))))
|
|
(when (plot-y-far-axis?)
|
|
(send pd draw-line
|
|
(norm->dc (vector y-far-axis-norm-x -0.5 -0.5))
|
|
(norm->dc (vector y-far-axis-norm-x 0.5 -0.5))))))
|
|
|
|
(define (draw-front-axes)
|
|
(when (plot-decorations?)
|
|
(send pd set-minor-pen)
|
|
(when (plot-z-axis?)
|
|
(send pd draw-line
|
|
(norm->dc (vector z-axis-norm-x z-axis-norm-y -0.5))
|
|
(norm->dc (vector z-axis-norm-x z-axis-norm-y 0.5))))
|
|
(when (plot-z-far-axis?)
|
|
(send pd draw-line
|
|
(norm->dc (vector z-far-axis-norm-x z-far-axis-norm-y -0.5))
|
|
(norm->dc (vector z-far-axis-norm-x z-far-axis-norm-y 0.5))))))
|
|
|
|
(define (draw-ticks tick-params)
|
|
(for ([params (in-list tick-params)])
|
|
(match-define (list major? v r angle) params)
|
|
(if major? (send pd set-major-pen) (send pd set-minor-pen))
|
|
(send pd draw-tick v r angle)))
|
|
|
|
(define (draw-labels label-params)
|
|
(for ([params (in-list label-params)])
|
|
(send/apply pd draw-text params #:outline? #t)))
|
|
|
|
;; ===============================================================================================
|
|
;; Delayed drawing
|
|
|
|
(define render-list empty)
|
|
(define (add-shape! shape) (set! render-list (cons shape render-list)))
|
|
(define (add-shapes! shapes) (set! render-list (append shapes render-list)))
|
|
|
|
(define (draw-shapes ss)
|
|
(define s+cs (map (λ (s) (cons s (norm->view/no-rho (shape-center s)))) ss))
|
|
(for ([s+c (in-list (depth-sort (reverse s+cs)))])
|
|
(match-define (cons s c) s+c)
|
|
(draw-shape s (rotate/rho c))))
|
|
|
|
(define (draw-polygon alpha center vs normal
|
|
pen-color pen-width pen-style brush-color brush-style)
|
|
(define-values (diff spec) (get-light-values center (norm->view normal)))
|
|
(let ([pen-color (map (λ (v) (+ (* v diff) spec)) pen-color)]
|
|
[brush-color (map (λ (v) (+ (* v diff) spec)) brush-color)])
|
|
(send pd set-pen pen-color pen-width pen-style)
|
|
(send pd set-brush brush-color brush-style)
|
|
(send pd draw-polygon (map (λ (v) (norm->dc v)) vs))))
|
|
|
|
(define (draw-shape s center)
|
|
(send pd set-alpha (shape-alpha s))
|
|
(match s
|
|
;; shapes
|
|
[(shapes alpha _ ss) (draw-shapes ss)]
|
|
;; polygon
|
|
[(polygon alpha _ vs normal pen-color pen-width pen-style brush-color brush-style)
|
|
(draw-polygon alpha center vs normal pen-color pen-width pen-style brush-color brush-style)]
|
|
;; rectangle
|
|
[(rectangle alpha _ r pen-color pen-width pen-style brush-color brush-style)
|
|
(for ([face (in-list (rect-visible-faces r theta))])
|
|
(match face
|
|
[(list normal vs ...) (draw-polygon alpha center vs
|
|
normal pen-color pen-width pen-style
|
|
brush-color brush-style)]
|
|
[_ (void)]))]
|
|
;; line
|
|
[(line alpha _ v1 v2 pen-color pen-width pen-style)
|
|
(send pd set-pen pen-color pen-width pen-style)
|
|
(send pd draw-line (norm->dc v1) (norm->dc v2))]
|
|
;; text
|
|
[(text alpha _ anchor angle dist str font-size font-family color)
|
|
(send pd set-font font-size font-family)
|
|
(send pd set-text-foreground color)
|
|
(send pd draw-text str (view->dc center) anchor angle dist)]
|
|
;; glyph
|
|
[(glyph alpha _ symbol size pen-color pen-width pen-style brush-color brush-style)
|
|
(send pd set-pen pen-color pen-width pen-style)
|
|
(send pd set-brush brush-color brush-style)
|
|
(send pd draw-glyphs (list (view->dc center)) symbol size)]
|
|
;; tick glyph
|
|
[(tick-glyph alpha _ radius angle pen-color pen-width pen-style)
|
|
(send pd set-pen pen-color pen-width pen-style)
|
|
(send pd draw-tick (view->dc center) radius angle)]
|
|
;; arrow glyph
|
|
[(arrow-glyph alpha _ v1 v2 pen-color pen-width pen-style)
|
|
(send pd set-pen pen-color pen-width pen-style)
|
|
(send pd draw-arrow (norm->dc v1) (norm->dc v2))]
|
|
[_ (error 'draw-shapes "shape not implemented: ~e" s)]))
|
|
|
|
;; Light position, in normalized view coordinates: 5 units up, ~3 units back and to the left
|
|
;; (simulates non-noon daylight conditions)
|
|
(define light (m3-apply rotate-rho-matrix (vector (- -0.5 2.0)
|
|
(- -0.5 2.0)
|
|
(+ 0.5 5.0))))
|
|
|
|
;; Do lighting only by direction so we can precalculate light-dir and half-dir
|
|
;; Conceptually, the viewer and light are at infinity
|
|
|
|
;; Light direction
|
|
(define light-dir (vnormalize light))
|
|
;; View direction, in normalized view coordinates
|
|
(define view-dir (vector 0.0 -1.0 0.0))
|
|
;; Blinn-Phong "half angle" direction
|
|
(define half-dir (vnormalize (v* (v+ light-dir view-dir) 0.5)))
|
|
|
|
(define diffuse-light? (plot3d-diffuse-light?))
|
|
(define specular-light? (plot3d-specular-light?))
|
|
(define ambient-light (exact->inexact (plot3d-ambient-light)))
|
|
|
|
(define get-light-values
|
|
(cond
|
|
[(not (or diffuse-light? specular-light?)) (λ (v normal) (values 1.0 0.0))]
|
|
[else
|
|
(λ (v normal)
|
|
;; Diffuse lighting: typical Lambertian surface model (using absolute value because we
|
|
;; can't expect surface normals to point the right direction)
|
|
(define diff
|
|
(cond [diffuse-light? (flabs (vdot normal light-dir))]
|
|
[else 1.0]))
|
|
;; Specular highlighting: Blinn-Phong model
|
|
(define spec
|
|
(cond [specular-light? (fl* 32.0 (expt (flabs (vdot normal half-dir)) 20.0))]
|
|
[else 0.0]))
|
|
;; Blend ambient light with diffuse light, return specular as it is
|
|
;; As ambient-light -> 1.0, contribution of diffuse -> 0.0
|
|
(values (fl+ ambient-light (fl* (fl- 1.0 ambient-light) diff)) spec))]))
|
|
|
|
;; ===============================================================================================
|
|
;; Public drawing control (used by plot3d/dc)
|
|
|
|
(define/public (start-plot)
|
|
(send pd reset-drawing-params)
|
|
(send pd clear)
|
|
(draw-title)
|
|
(draw-labels (get-back-label-params))
|
|
(draw-ticks (get-back-tick-params))
|
|
(draw-back-axes)
|
|
(send pd set-clipping-rect
|
|
(vector (ivl (+ 1/2 (- area-x-min (plot-line-width))) (+ area-x-max (plot-line-width)))
|
|
(ivl (+ 1/2 (- area-y-min (plot-line-width))) (+ area-y-max (plot-line-width)))))
|
|
(set! render-list empty))
|
|
|
|
(define/public (start-renderer rend-bounds-rect)
|
|
(reset-drawing-params)
|
|
(put-clip-rect rend-bounds-rect))
|
|
|
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(define/public (end-renderers)
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(clear-clip-rect)
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(draw-shapes render-list)
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(send pd reset-drawing-params)
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(draw-front-axes)
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(draw-ticks (get-front-tick-params))
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(draw-labels (get-front-label-params)))
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(define (draw-legend* legend-entries)
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(define gap-size (+ (pen-gap) tick-radius))
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(send pd draw-legend legend-entries
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(vector (ivl (+ area-x-min gap-size) (- area-x-max gap-size))
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(ivl (+ area-y-min gap-size) (- area-y-max gap-size)))))
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(define/public (draw-legend legend-entries) (draw-legend* legend-entries))
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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-render-list) render-list)
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(define/public (put-render-list shapes) (add-shapes! shapes))
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;; Drawing parameters
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(define alpha 1)
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(define pen-color '(0 0 0))
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(define pen-width 1)
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(define pen-style 'solid)
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(define brush-color '(255 255 255))
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(define brush-style 'solid)
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(define background-color '(255 255 255))
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(define font-size 11)
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(define font-family 'roman)
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(define text-foreground '(0 0 0))
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;; Drawing parameter accessors
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(define/public (put-alpha a) (set! alpha a))
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(define/public (put-pen color width style)
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(set! pen-color (->pen-color color))
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(set! pen-width width)
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(set! pen-style (->pen-style style)))
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(define/public (put-major-pen [style 'solid])
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(put-pen (plot-foreground) (plot-line-width) style))
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(define/public (put-minor-pen [style 'solid])
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(put-pen (plot-foreground) (* 1/2 (plot-line-width)) style))
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(define/public (put-brush color style)
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(set! brush-color (->brush-color color))
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(set! brush-style (->brush-style style)))
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(define/public (put-background color)
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(set! background-color (->brush-color color)))
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(define/public (put-font-size size) (set! font-size size))
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(define/public (put-font-family family) (set! font-family family))
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(define/public (put-font size family)
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(put-font-size size)
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(put-font-family family))
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(define/public (put-text-foreground c)
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(set! text-foreground (->pen-color c)))
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(define/public (reset-drawing-params)
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(put-alpha (plot-foreground-alpha))
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(put-pen (plot-foreground) (plot-line-width) 'solid)
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(put-brush (plot-background) 'solid)
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(put-background (plot-background))
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(put-font (plot-font-size) (plot-font-family))
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(put-text-foreground (plot-foreground)))
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;; Drawing shapes
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(define/public (put-line v1 v2 [c (v* (v+ v1 v2) 1/2)])
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(let/ec return
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(unless (and (vrational? v1) (vrational? v2)) (return (void)))
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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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clip-z-min clip-z-max)
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(values v1 v2))])
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(unless (and v1 v2) (return (void)))
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(cond [identity-transforms?
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(add-shape! (line alpha (plot->norm c) (plot->norm v1) (plot->norm v2)
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pen-color pen-width pen-style))]
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[else
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(define vs (subdivide-line plot->dc v1 v2))
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(for ([v1 (in-list vs)] [v2 (in-list (rest vs))])
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(add-shape! (line alpha (plot->norm c) (plot->norm v1) (plot->norm v2)
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pen-color pen-width pen-style)))]))))
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(define/public (put-lines vs)
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(for ([vs (vrational-sublists vs)])
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(when (not (empty? vs))
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(for ([v1 (in-list vs)] [v2 (in-list (rest vs))])
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(put-line v1 v2)))))
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(define (add-polygon lst vs c)
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(let/ec return
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(when (or (empty? vs) (not (and (andmap vrational? vs) (vrational? c))))
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(return lst))
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(define normal (vnormal (map plot->norm 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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clip-z-min clip-z-max)
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vs)]
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[vs (if identity-transforms? vs (subdivide-polygon plot->dc vs))])
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(when (empty? vs) (return lst))
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(cons (polygon alpha (plot->norm c) (map plot->norm vs)
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normal pen-color pen-width pen-style brush-color brush-style)
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lst))))
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(define/public (put-polygon vs [c (vcenter vs)])
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(set! render-list (add-polygon render-list vs c)))
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(define/public (put-polygons vss [c (vcenter (flatten vss))])
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(define lst (for/fold ([lst empty]) ([vs (in-list vss)]
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#:when (not (empty? vs)))
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(add-polygon lst vs (vcenter vs))))
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(when (not (empty? lst))
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(add-shape! (shapes alpha (plot->norm c) lst))))
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(define/public (put-rect r [c (rect-center r)])
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(when (rect-rational? r)
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(let ([r (rect-meet r bounds-rect)])
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(match-define (vector (ivl x-min x-max) (ivl y-min y-max) (ivl z-min z-max)) r)
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(match-let ([(vector x-min y-min z-min) (plot->norm (vector x-min y-min z-min))]
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[(vector x-max y-max z-max) (plot->norm (vector x-max y-max z-max))])
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(add-shape! (rectangle alpha (plot->norm c)
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(vector (ivl x-min x-max) (ivl y-min y-max) (ivl z-min z-max))
|
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pen-color pen-width pen-style brush-color brush-style))))))
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(define/public (put-text str v [anchor 'center] [angle 0] [dist 0])
|
|
(when (and (vrational? v) (in-bounds? v))
|
|
(add-shape! (text alpha (plot->norm v) anchor angle dist str
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font-size font-family text-foreground))))
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(define/public (put-glyphs vs symbol size)
|
|
(for ([v (in-list vs)])
|
|
(when (and (vrational? v) (in-bounds? v))
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|
(add-shape!
|
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(glyph alpha (plot->norm v) symbol size
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|
pen-color pen-width pen-style brush-color brush-style)))))
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|
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(define/public (put-arrow v1 v2 [c (v* (v+ v1 v2) 1/2)])
|
|
(when (and (vrational? v1) (vrational? v2) (in-bounds? v1))
|
|
(cond [(in-bounds? v2)
|
|
(add-shape!
|
|
(arrow-glyph alpha (plot->norm c) (plot->norm v1) (plot->norm v2)
|
|
(->brush-color (plot-background)) (+ 2 pen-width) 'solid))
|
|
(add-shape!
|
|
(arrow-glyph alpha (plot->norm c) (plot->norm v1) (plot->norm v2)
|
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pen-color pen-width pen-style))]
|
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[else (put-line v1 v2)])))
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|
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(define/public (put-tick v radius angle)
|
|
(when (and (vrational? v) (in-bounds? v))
|
|
(add-shape! (tick-glyph alpha (plot->norm v) radius angle
|
|
pen-color pen-width pen-style))))
|
|
)) ; end class
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