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#lang typed/racket/base
(require typed/racket/class racket/match racket/list
(only-in typed/pict pict)
plot/utils
"../common/type-doc.rkt"
"../common/utils.rkt")
(provide (all-defined-out))
;; ===================================================================================================
;; One contour line in 3D (using marching squares)
(: isoline3d-render-proc (-> 2D-Sampler Real Positive-Integer
Plot-Color Nonnegative-Real Plot-Pen-Style
Nonnegative-Real
3D-Render-Proc))
(define ((isoline3d-render-proc f z samples color width style alpha) area)
(match-define (vector x-ivl y-ivl z-ivl) (send area get-bounds-rect))
(match-define (ivl z-min z-max) z-ivl)
(define num (animated-samples samples))
(define sample (f (vector x-ivl y-ivl) (vector num num)))
(when (and z-min z-max (<= z-min z z-max))
(send area put-alpha alpha)
(send area put-pen color width style)
(for-2d-sample
(xa xb ya yb z1 z2 z3 z4) sample
(for ([line (in-list (heights->lines xa xb ya yb z z1 z2 z3 z4))])
(match-define (list v1 v2) line)
(send area put-line v1 v2))))
(void))
(:: isoline3d
(->* [(-> Real Real Real) Real]
[(U #f Real) (U #f Real)
(U #f Real) (U #f Real)
#:z-min (U #f Real) #:z-max (U #f Real)
#:samples Positive-Integer
#:color Plot-Color
#:width Nonnegative-Real
#:style Plot-Pen-Style
#:alpha Nonnegative-Real
#:label (U String pict #f)]
renderer3d))
(define (isoline3d f z
[x-min #f] [x-max #f]
[y-min #f] [y-max #f]
#:z-min [z-min #f] #:z-max [z-max #f]
#:samples [samples (plot3d-samples)]
#:color [color (line-color)]
#:width [width (line-width)]
#:style [style (line-style)]
#:alpha [alpha (line-alpha)]
#:label [label #f])
(define fail/pos (make-raise-argument-error 'isoline3d f z x-min x-max y-min y-max))
(define fail/kw (make-raise-keyword-error 'isoline3d))
(cond
[(not (rational? z)) (fail/pos "rational?" 1)]
[(and x-min (not (rational? x-min))) (fail/pos "#f or rational" 2)]
[(and x-max (not (rational? x-max))) (fail/pos "#f or rational" 3)]
[(and y-min (not (rational? y-min))) (fail/pos "#f or rational" 4)]
[(and y-max (not (rational? y-max))) (fail/pos "#f or rational" 5)]
[(and z-min (not (rational? z-min))) (fail/kw "#f or rational" '#:z-min z-min)]
[(and z-max (not (rational? z-max))) (fail/kw "#f or rational" '#:z-min z-max)]
[(< samples 2) (fail/kw "Integer >= 2" '#:samples samples)]
[(or (> alpha 1) (not (rational? alpha))) (fail/kw "real in [0,1]" '#:alpha alpha)]
[else
(let ([z-min (if z-min z-min z)]
[z-max (if z-max z-max z)])
(define x-ivl (ivl x-min x-max))
(define y-ivl (ivl y-min y-max))
(define z-ivl (ivl z-min z-max))
(define g (2d-function->sampler f (vector x-ivl y-ivl)))
(renderer3d (vector x-ivl y-ivl z-ivl)
#f default-ticks-fun
(and label (λ (_) (line-legend-entry label color width style)))
(isoline3d-render-proc g z samples color width style alpha)))]))
;; ===================================================================================================
;; Contour lines in 3D (using marching squares)
(: make-contours3d-label-and-render (-> 2D-Sampler Contour-Levels Positive-Integer
(Plot-Colors (Listof Real))
(Pen-Widths (Listof Real))
(Plot-Pen-Styles (Listof Real))
(Alphas (Listof Real))
(U String pict #f)
(Values (U #f (-> Rect (Treeof legend-entry)))
3D-Render-Proc)))
(define (make-contours3d-label-and-render f levels samples colors widths styles alphas label)
;; g is a 2D-sampler, which is a memoized proc. Recalculation here should be cheap.
;; if we memoize here based on rect, smooth interactions are disabled (because of the call to `plot-z-ticks`)
(define (calculate-zs/labels [rect : Rect]) : (Values 2d-sample (Listof Real) (Listof String))
(match-define (vector x-ivl y-ivl z-ivl) rect)
(match-define (ivl x-min x-max) x-ivl)
(match-define (ivl y-min y-max) y-ivl)
(match-define (ivl z-min z-max) z-ivl)
(cond
[(and z-min z-max)
(define num (animated-samples samples))
(define sample (f (vector x-ivl y-ivl) (vector num num)))
;; can't use the actual z ticks because some or all could be collapsed
(match-define (list (tick #{zs : (Listof Real)}
#{_ : (Listof Boolean)}
#{labels : (Listof String)})
...)
(contour-ticks (plot-z-ticks) z-min z-max levels #f))
(values sample zs labels)]
[else
(values (2d-sample '() '() #() #f #f) empty empty)]))
(define label-proc
(and label
(λ ([rect : Rect])
(define-values (_ zs labels) (calculate-zs/labels rect))
(cond
[(empty? zs) empty]
[else
(let* ([colors (generate-list colors zs)]
[widths (generate-list widths zs)]
[styles (generate-list styles zs)])
(line-legend-entries label zs labels colors widths styles))]))))
(: render-proc 3D-Render-Proc)
(define (render-proc area)
(define-values (sample zs _) (calculate-zs/labels (send area get-bounds-rect)))
(match-define (vector x-ivl y-ivl z-ivl) (send area get-bounds-rect))
(match-define (ivl x-min x-max) x-ivl)
(match-define (ivl y-min y-max) y-ivl)
(match-define (ivl z-min z-max) z-ivl)
(unless (empty? zs)
(let* ([colors (generate-list colors zs)]
[widths (generate-list widths zs)]
[styles (generate-list styles zs)]
[alphas (generate-list alphas zs)])
(for ([z (in-list zs)]
[color (in-cycle* (in-list colors))]
[width : Nonnegative-Real (in-cycle* (in-list widths))]
[style (in-cycle* (in-list styles))]
[alpha : Nonnegative-Real (in-cycle* (in-list alphas))])
(send area put-alpha alpha)
(send area put-pen color width style)
(for-2d-sample
(xa xb ya yb z1 z2 z3 z4) sample
(for ([line (in-list (heights->lines xa xb ya yb z z1 z2 z3 z4))])
(match-define (list v1 v2) line)
(send area put-line v1 v2)))))))
(values label-proc render-proc))
(:: contours3d
(->* [(-> Real Real Real)]
[(U #f Real) (U #f Real)
(U #f Real) (U #f Real)
#:z-min (U #f Real) #:z-max (U #f Real)
#:samples Positive-Integer
#:levels Contour-Levels
#:colors (Plot-Colors (Listof Real))
#:widths (Pen-Widths (Listof Real))
#:styles (Plot-Pen-Styles (Listof Real))
#:alphas (Alphas (Listof Real))
#:label (U String pict #f)]
renderer3d))
(define (contours3d f
[x-min #f] [x-max #f]
[y-min #f] [y-max #f]
#:z-min [z-min #f] #:z-max [z-max #f]
#:samples [samples (plot3d-samples)]
#:levels [levels (contour-levels)]
#:colors [colors (contour-colors)]
#:widths [widths (contour-widths)]
#:styles [styles (contour-styles)]
#:alphas [alphas (contour-alphas)]
#:label [label #f])
(define fail/pos (make-raise-argument-error 'contours3d f x-min x-max y-min y-max))
(define fail/kw (make-raise-keyword-error 'contours3d))
(cond
[(and x-min (not (rational? x-min))) (fail/pos "#f or rational" 1)]
[(and x-max (not (rational? x-max))) (fail/pos "#f or rational" 2)]
[(and y-min (not (rational? y-min))) (fail/pos "#f or rational" 3)]
[(and y-max (not (rational? y-max))) (fail/pos "#f or rational" 4)]
[(and z-min (not (rational? z-min))) (fail/kw "#f or rational" '#:z-min z-min)]
[(and z-max (not (rational? z-max))) (fail/kw "#f or rational" '#:z-min z-max)]
[(< samples 2) (fail/kw "Integer >= 2" '#:samples samples)]
[else
(define x-ivl (ivl x-min x-max))
(define y-ivl (ivl y-min y-max))
(define z-ivl (ivl z-min z-max))
(define g (2d-function->sampler f (vector x-ivl y-ivl)))
(define-values (label-proc render-proc)
(make-contours3d-label-and-render g levels samples colors widths styles alphas label))
(renderer3d (vector x-ivl y-ivl z-ivl)
(surface3d-bounds-fun g samples)
default-ticks-fun
label-proc render-proc)]))
;; ===================================================================================================
;; Contour intervals in 3D (using marching squares)
(: make-contour-intervals3d-label-and-renderer
(-> 2D-Sampler Contour-Levels Positive-Integer
(Plot-Colors (Listof ivl))
(Plot-Brush-Styles (Listof ivl))
(Plot-Colors (Listof ivl))
(Pen-Widths (Listof ivl))
(Plot-Pen-Styles (Listof ivl))
(Plot-Colors (Listof Real))
(Pen-Widths (Listof Real))
(Plot-Pen-Styles (Listof Real))
(Alphas (Listof ivl))
(U String pict #f)
(Values (U #f (-> Rect (Treeof legend-entry)))
3D-Render-Proc)))
(define (make-contour-intervals3d-label-and-renderer
f levels samples colors styles line-colors line-widths line-styles
contour-colors contour-widths contour-styles alphas label)
;; g is a 2D-sampler, which is a memoized proc. Recalculation here should be cheap.
;; if we memoize here based on rect, smooth interactions are disabled (because of the call to `plot-z-ticks`)
(define (calculate-zivls/labels [rect : Rect]) : (Values 2d-sample (Listof ivl) (Listof Real) (Listof String))
(match-define (vector x-ivl y-ivl z-ivl) rect)
(match-define (ivl x-min x-max) x-ivl)
(match-define (ivl y-min y-max) y-ivl)
(match-define (ivl z-min z-max) z-ivl)
(cond
[(and z-min z-max)
(define num (animated-samples samples))
(define sample (f (vector x-ivl y-ivl) (vector num num)))
;; can't use the actual z ticks because some or all could be collapsed
(match-define (list (tick #{zs : (Listof Real)}
#{_ : (Listof Boolean)}
#{labels : (Listof String)})
...)
(contour-ticks (plot-z-ticks) z-min z-max levels #t))
(define-values (z-ivls ivl-labels)
(for/lists ([z-ivls : (Listof ivl)]
[ivl-labels : (Listof String)]
) ([za (in-list zs)]
[zb (in-list (rest zs))]
[la (in-list labels)]
[lb (in-list (rest labels))])
(values (ivl za zb) (format "[~a,~a]" la lb))))
(values sample z-ivls zs ivl-labels)]
[else
(values (2d-sample '() '() #() #f #f) empty empty empty)]))
(define label-proc
(and label
(λ ([rect : Rect])
(define-values (_ z-ivls zs ivl-labels) (calculate-zivls/labels rect))
(let* ([colors (generate-list colors z-ivls)]
[styles (generate-list styles z-ivls)]
[line-colors (generate-list line-colors z-ivls)]
[line-widths (generate-list line-widths z-ivls)]
[line-styles (generate-list line-styles z-ivls)])
(define n (- (length zs) 2))
(define contour-colors*
(append (list 0) (sequence-take (in-cycle* (generate-list contour-colors zs)) 0 n) (list 0)))
(define contour-widths*
(append (list 0) (sequence-take (in-cycle* (generate-list contour-widths zs)) 0 n) (list 0)))
(define contour-styles*
(append '(transparent) (sequence-take (in-cycle* (generate-list contour-styles zs)) 0 n)
'(transparent)))
(cond [label (interval-legend-entries
label z-ivls ivl-labels
colors styles line-colors line-widths line-styles
contour-colors* contour-widths* contour-styles*
(rest contour-colors*) (rest contour-widths*) (rest contour-styles*))]
[else empty])))))
(: render-proc 3D-Render-Proc)
(define (render-proc area)
(define-values (sample z-ivls zs _) (calculate-zivls/labels (send area get-bounds-rect)))
(unless (empty? zs)
(let* ([colors (generate-list colors z-ivls)]
[styles (generate-list styles z-ivls)]
[alphas (generate-list alphas z-ivls)]
[line-colors (generate-list line-colors z-ivls)]
[line-widths (generate-list line-widths z-ivls)]
[line-styles (generate-list line-styles z-ivls)])
(for ([za (in-list zs)]
[zb (in-list (rest zs))]
[color (in-cycle* (in-list colors))]
[style (in-cycle* (in-list styles))]
[alpha : Nonnegative-Real (in-cycle* (in-list alphas))]
[line-color (in-cycle* (in-list line-colors))]
[line-width : Nonnegative-Real (in-cycle* (in-list line-widths))]
[line-style (in-cycle* (in-list line-styles))])
(send area put-alpha alpha)
(send area put-pen line-color line-width line-style)
(send area put-brush color style)
(for-2d-sample
(xa xb ya yb z1 z2 z3 z4) sample
(for ([vs (in-list (heights->polys xa xb ya yb za zb z1 z2 z3 z4))])
(define ls
(for/list : (Listof Boolean) ([v1 (in-list (cons (last vs) vs))]
[v2 (in-list vs)])
(define z1 (vector-ref v1 2))
(define z2 (vector-ref v2 2))
(not (or (and (= z1 za) (= z2 za))
(and (= z1 zb) (= z2 zb))))))
(send area put-polygon vs 'both ls))))
(define-values (_ render-proc)
(make-contours3d-label-and-render f levels samples contour-colors contour-widths contour-styles
alphas #f))
(render-proc area)
)))
(values label-proc render-proc))
(:: contour-intervals3d
(->* [(-> Real Real Real)]
[(U #f Real) (U #f Real)
(U #f Real) (U #f Real)
#:z-min (U #f Real) #:z-max (U #f Real)
#:samples Positive-Integer
#:levels Contour-Levels
#:colors (Plot-Colors (Listof ivl))
#:styles (Plot-Brush-Styles (Listof ivl))
#:line-colors (Plot-Colors (Listof ivl))
#:line-widths (Pen-Widths (Listof ivl))
#:line-styles (Plot-Pen-Styles (Listof ivl))
#:contour-colors (Plot-Colors (Listof Real))
#:contour-widths (Pen-Widths (Listof Real))
#:contour-styles (Plot-Pen-Styles (Listof Real))
#:alphas (Alphas (Listof ivl))
#:label (U String pict #f)]
renderer3d))
(define (contour-intervals3d f
[x-min #f] [x-max #f]
[y-min #f] [y-max #f]
#:z-min [z-min #f] #:z-max [z-max #f]
#:samples [samples (plot3d-samples)]
#:levels [levels (contour-levels)]
#:colors [colors (contour-interval-colors)]
#:styles [styles (contour-interval-styles)]
#:line-colors [line-colors (contour-interval-line-colors)]
#:line-widths [line-widths (contour-interval-line-widths)]
#:line-styles [line-styles (contour-interval-line-styles)]
#:contour-colors [contour-colors (contour-colors)]
#:contour-widths [contour-widths (contour-widths)]
#:contour-styles [contour-styles (contour-styles)]
#:alphas [alphas (contour-interval-alphas)]
#:label [label #f])
(define fail/pos (make-raise-argument-error 'contour-intervals3d f x-min x-max y-min y-max))
(define fail/kw (make-raise-keyword-error 'contour-intervals3d))
(cond
[(and x-min (not (rational? x-min))) (fail/pos "#f or rational" 1)]
[(and x-max (not (rational? x-max))) (fail/pos "#f or rational" 2)]
[(and y-min (not (rational? y-min))) (fail/pos "#f or rational" 3)]
[(and y-max (not (rational? y-max))) (fail/pos "#f or rational" 4)]
[(and z-min (not (rational? z-min))) (fail/kw "#f or rational" '#:z-min z-min)]
[(and z-max (not (rational? z-max))) (fail/kw "#f or rational" '#:z-min z-max)]
[(< samples 2) (fail/kw "Integer >= 2" '#:samples samples)]
[else
(define x-ivl (ivl x-min x-max))
(define y-ivl (ivl y-min y-max))
(define z-ivl (ivl z-min z-max))
(define g (2d-function->sampler f (vector x-ivl y-ivl)))
(define-values (label-proc render-proc)
(make-contour-intervals3d-label-and-renderer g levels samples colors styles
line-colors line-widths line-styles
contour-colors contour-widths contour-styles
alphas label))
(renderer3d (vector x-ivl y-ivl z-ivl)
(surface3d-bounds-fun g samples)
default-ticks-fun
label-proc render-proc)]))
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