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#lang typed/racket/base
;; Renderers for contour lines and contour intervals
(require typed/racket/class racket/match racket/list racket/vector
(only-in typed/pict pict)
plot/utils
"../common/type-doc.rkt"
"../common/utils.rkt")
(provide (all-defined-out))
;; ===================================================================================================
;; One contour line
(: isoline-render-proc (-> 2D-Sampler Real Positive-Integer
Plot-Color Nonnegative-Real Plot-Pen-Style
Nonnegative-Real
2D-Render-Proc))
(define ((isoline-render-proc g z samples color width style alpha) area)
(match-define (vector x-ivl y-ivl) (send area get-bounds-rect))
(define num (animated-samples samples))
(define sample (g (vector x-ivl y-ivl) (vector num num)))
(match-define (2d-sample xs ys zss z-min z-max) sample)
(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) (map (λ ([v : (Vectorof Real)]) (vector-take v 2)) line))
(send area put-line v1 v2))))
(void))
(:: isoline
(->* [(-> Real Real Real) Real]
[(U Real #f) (U Real #f)
(U Real #f) (U Real #f)
#:samples Positive-Integer
#:color Plot-Color
#:width Nonnegative-Real
#:style Plot-Pen-Style
#:alpha Nonnegative-Real
#:label (U String pict #f)]
renderer2d))
(define (isoline f z [x-min #f] [x-max #f] [y-min #f] [y-max #f]
#:samples [samples (contour-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 'isoline f z x-min x-max y-min y-max))
(define fail/kw (make-raise-keyword-error 'isoline))
(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)]
[(< samples 2) (fail/kw "Integer >= 2" '#:samples samples)]
[(not (rational? width)) (fail/kw "rational?" '#:width width)]
[(or (> alpha 1) (not (rational? alpha))) (fail/kw "real in [0,1]" '#:alpha alpha)]
[else
(define x-ivl (ivl x-min x-max))
(define y-ivl (ivl y-min y-max))
(define g (2d-function->sampler f (vector x-ivl y-ivl)))
(renderer2d (vector x-ivl y-ivl) #f default-ticks-fun
(and label (λ (_) (line-legend-entry label color width style)))
(isoline-render-proc g z samples color width style alpha))]))
;; ===================================================================================================
;; Contour lines
(: make-contour-labels-and-renderer (-> 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)))
2D-Render-Proc)))
(define (make-contour-labels-and-renderer g levels samples colors widths styles alphas label)
;; g is a 2D-sampler, which is a memoized proc. Recalculation here should be cheap
(define (calculate-zs/labels [rect : Rect]) : (Values 2d-sample (Listof Real) (Listof String))
(match-define (vector x-ivl y-ivl) rect)
(define num (animated-samples samples))
(define sample (g (vector x-ivl y-ivl) (vector num num)))
(match-define (2d-sample xs ys zss z-min z-max) sample)
(cond
[(and z-min z-max)
(match-define (list (tick #{zs : (Listof Real)}
#{_ : (Listof Boolean)}
#{labels : (Listof String)})
...)
(contour-ticks (plot-z-ticks) (assert z-min values) (assert z-max values) 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))
(if (empty? zs)
'()
(line-legend-entries label zs labels colors widths styles)))))
(: render-proc 2D-Render-Proc)
(define (render-proc area)
(define-values (sample zs _) (calculate-zs/labels (send area get-bounds-rect)))
(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* colors)]
[width : Nonnegative-Real (in-cycle* widths)]
[style (in-cycle* styles)]
[alpha : Nonnegative-Real (in-cycle* 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) (map (λ ([v : (Vectorof Real)]) (vector-take v 2)) line))
(send area put-line v1 v2)))))))
(values label-proc render-proc))
(:: contours
(->* [(-> Real Real Real)]
[(U Real #f) (U Real #f)
(U Real #f) (U Real #f)
#: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)]
renderer2d))
(define (contours f [x-min #f] [x-max #f] [y-min #f] [y-max #f]
#:samples [samples (contour-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 'contours f x-min x-max y-min y-max))
(define fail/kw (make-raise-keyword-error 'contours))
(cond
[(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)]
[(< 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 g (2d-function->sampler f (vector x-ivl y-ivl)))
(define-values (label-proc render-proc)
(make-contour-labels-and-renderer
g levels samples colors widths styles alphas label))
(renderer2d (vector x-ivl y-ivl) #f default-ticks-fun
label-proc render-proc)]))
;; ===================================================================================================
;; Contour intervals
(: make-contour-intervals-labels-and-renderer
(-> 2D-Sampler Contour-Levels Positive-Integer
(Plot-Colors (Listof ivl)) (Plot-Brush-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)))
2D-Render-Proc)))
(define (make-contour-intervals-labels-and-renderer
g levels samples colors styles contour-colors contour-widths contour-styles alphas label)
;; g is a 2D-sampler, which is a memoized proc. Recalculation here should be cheap
(define (calculate-zivls/labels [rect : Rect]) : (Values 2d-sample (Listof ivl) (Listof Real) (Listof String))
(match-define (vector x-ivl y-ivl) rect)
(define num (animated-samples samples))
(define sample (g (vector x-ivl y-ivl) (vector num num)))
(match-define (2d-sample xs ys zss z-min z-max) sample)
(cond
[(and z-min z-max)
(match-define (list (tick #{zs : (Listof Real)}
#{_ : (Listof Boolean)}
#{labels : (Listof String)})
...)
(contour-ticks (plot-z-ticks) (assert z-min values) (assert z-max values) 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))
(cond
[(empty? zs) empty]
[else
(let* ([colors (map ->brush-color (generate-list colors z-ivls))]
[styles (map ->brush-style (generate-list 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)))
(interval-legend-entries
label z-ivls ivl-labels
colors styles colors '(1) '(transparent)
contour-colors* contour-widths* contour-styles*
(rest contour-colors*) (rest contour-widths*) (rest contour-styles*)))]))))
(: render-proc 2D-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 (map ->brush-color (generate-list colors z-ivls))]
[styles (map ->brush-style (generate-list styles z-ivls))]
[alphas (generate-list alphas z-ivls)])
(send area put-pen 0 1 'transparent)
(for ([za (in-list zs)]
[zb (in-list (rest zs))]
[color : (List Real Real Real) (in-cycle* colors)]
[style : Plot-Brush-Style (in-cycle* styles)]
[alpha : Nonnegative-Real (in-cycle* alphas)])
(send area put-brush color style)
(send area put-alpha alpha)
(for-2d-sample
(xa xb ya yb z1 z2 z3 z4) sample
(for ([poly (in-list (heights->polys xa xb ya yb za zb z1 z2 z3 z4))])
(send area put-polygon (map (λ ([v : (Vectorof Real)]) (vector-take v 2)) poly)))))
(define-values (_ contour-render-proc)
(make-contour-labels-and-renderer
g levels samples contour-colors contour-widths contour-styles alphas #f))
(contour-render-proc area))))
(values label-proc render-proc))
(:: contour-intervals
(->* [(-> Real Real Real)]
[(U Real #f) (U Real #f)
(U Real #f) (U Real #f)
#:samples Positive-Integer
#:levels Contour-Levels
#:colors (Plot-Colors (Listof ivl))
#:styles (Plot-Brush-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)]
renderer2d))
(define (contour-intervals
f [x-min #f] [x-max #f] [y-min #f] [y-max #f]
#:samples [samples (contour-samples)]
#:levels [levels (contour-levels)]
#:colors [colors (contour-interval-colors)]
#:styles [styles (contour-interval-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-intervals f x-min x-max y-min y-max))
(define fail/kw (make-raise-keyword-error 'contour-intervals))
(cond
[(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)]
[(< 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 g (2d-function->sampler f (vector x-ivl y-ivl)))
(define-values (label-proc render-proc)
(make-contour-intervals-labels-and-renderer
g levels samples colors styles
contour-colors contour-widths contour-styles alphas label))
(renderer2d (vector x-ivl y-ivl) #f default-ticks-fun
label-proc render-proc)]))
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