202 lines
9.0 KiB
Racket
202 lines
9.0 KiB
Racket
#lang racket/base
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(require racket/class racket/match racket/list racket/flonum racket/contract
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plot/utils
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"../common/contract-doc.rkt")
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(provide (all-defined-out)
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(rename-out [contour3d isoline3d]
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[contours3d isolines3d]
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[contour-intervals3d isoline-intervals3d]))
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;; ===================================================================================================
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;; One contour line in 3D (using marching squares)
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(define ((contour3d-render-proc f z samples color width style alpha label) area)
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(define-values (x-min x-max y-min y-max z-min z-max) (send area get-bounds))
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(match-define (2d-sample xs ys zss _z-min _z-max)
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(f x-min x-max (animated-samples samples) y-min y-max (animated-samples samples)))
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(when (<= z-min z z-max)
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(send area put-alpha alpha)
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(send area put-pen color width style)
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(for ([ya (in-list ys)]
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[yb (in-list (rest ys))]
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[zs0 (in-vector zss)]
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[zs1 (in-vector zss 1)]
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#:when #t
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[xa (in-list xs)]
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[xb (in-list (rest xs))]
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[z1 (in-vector zs0)]
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[z2 (in-vector zs0 1)]
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[z3 (in-vector zs1 1)]
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[z4 (in-vector zs1)])
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(for ([line (in-list (heights->lines xa xb ya yb z z1 z2 z3 z4))])
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(match-define (list v1 v2) line)
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(define center (vector (* 1/2 (+ xa xb)) (* 1/2 (+ ya yb))
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(* 1/2 (+ (min z1 z2 z3 z4) (max z1 z2 z3 z4)))))
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(send area put-line v1 v2 center))))
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(cond [label (line-legend-entry label color width style)]
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[else empty]))
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(defproc (contour3d
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[f (real? real? . -> . real?)] [z real?]
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[x-min (or/c real? #f) #f] [x-max (or/c real? #f) #f]
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[y-min (or/c real? #f) #f] [y-max (or/c real? #f) #f]
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[#:z-min z-min (or/c real? #f) #f] [#:z-max z-max (or/c real? #f) #f]
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[#:samples samples (and/c exact-integer? (>=/c 2)) (plot3d-samples)]
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[#:color color plot-color/c (line-color)]
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[#:width width (>=/c 0) (line-width)]
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[#:style style plot-pen-style/c (line-style)]
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[#:alpha alpha (real-in 0 1) (line-alpha)]
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[#:label label (or/c string? #f) #f]
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) renderer3d?
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(define g (2d-function->sampler f))
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(let ([z-min (if z-min z-min z)]
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[z-max (if z-max z-max z)])
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(renderer3d (vector (ivl x-min x-max) (ivl y-min y-max) (ivl z-min z-max))
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#f default-ticks-fun
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(contour3d-render-proc g z samples color width style alpha label))))
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;; ===================================================================================================
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;; Contour lines in 3D (using marching squares)
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(define ((contours3d-render-proc f levels samples colors widths styles alphas label) area)
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(define-values (x-min x-max y-min y-max z-min z-max) (send area get-bounds))
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(match-define (2d-sample xs ys zss _z-min _z-max)
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(f x-min x-max (animated-samples samples) y-min y-max (animated-samples samples)))
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(match-define (list (tick zs _ labels) ...) (contour-ticks z-min z-max levels #f))
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(define cs (maybe-apply/list colors zs))
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(define ws (maybe-apply/list widths zs))
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(define ss (maybe-apply/list styles zs))
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(define as (maybe-apply/list alphas zs))
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(for ([z (in-list zs)]
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[color (in-cycle cs)]
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[width (in-cycle ws)]
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[style (in-cycle ss)]
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[alpha (in-cycle as)])
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(send area put-alpha alpha)
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(send area put-pen color width style)
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(for ([ya (in-list ys)]
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[yb (in-list (rest ys))]
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[zs0 (in-vector zss)]
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[zs1 (in-vector zss 1)]
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#:when #t
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[xa (in-list xs)]
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[xb (in-list (rest xs))]
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[z1 (in-vector zs0)]
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[z2 (in-vector zs0 1)]
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[z3 (in-vector zs1 1)]
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[z4 (in-vector zs1)])
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(for ([line (in-list (heights->lines xa xb ya yb z z1 z2 z3 z4))])
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(match-define (list v1 v2) line)
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(define center (vector (* 1/2 (+ xa xb)) (* 1/2 (+ ya yb))
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(* 1/2 (+ (min z1 z2 z3 z4) (max z1 z2 z3 z4)))))
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(send area put-line v1 v2 center))))
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(cond [label (line-legend-entries label zs labels colors widths styles)]
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[else empty]))
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(defproc (contours3d
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[f (real? real? . -> . real?)]
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[x-min (or/c real? #f) #f] [x-max (or/c real? #f) #f]
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[y-min (or/c real? #f) #f] [y-max (or/c real? #f) #f]
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[#:z-min z-min (or/c real? #f) #f] [#:z-max z-max (or/c real? #f) #f]
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[#:levels levels (or/c 'auto exact-positive-integer? (listof real?)) (contour-levels)]
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[#:samples samples (and/c exact-integer? (>=/c 2)) (plot3d-samples)]
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[#:colors colors plot-colors/c (contour-colors)]
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[#:widths widths pen-widths/c (contour-widths)]
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[#:styles styles plot-pen-styles/c (contour-styles)]
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[#:alphas alphas alphas/c (contour-alphas)]
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[#:label label (or/c string? #f) #f]
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) renderer3d?
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(define g (2d-function->sampler f))
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(renderer3d (vector (ivl x-min x-max) (ivl y-min y-max) (ivl z-min z-max))
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(surface3d-bounds-fun g samples)
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default-ticks-fun
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(contours3d-render-proc g levels samples colors widths styles alphas label)))
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;; ===================================================================================================
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;; Contour intervals in 3D (using marching squares)
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(define ((contour-intervals3d-render-proc
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f levels samples colors line-colors line-widths line-styles
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contour-colors contour-widths contour-styles alphas label)
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area)
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(define-values (x-min x-max y-min y-max z-min z-max) (send area get-bounds))
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(match-define (2d-sample xs ys zss _z-min _z-max)
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(f x-min x-max (animated-samples samples) y-min y-max (animated-samples samples)))
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(match-define (list (tick zs _ labels) ...) (contour-ticks z-min z-max levels #t))
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(define cs (maybe-apply/list colors zs))
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(define lcs (maybe-apply/list line-colors zs))
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(define lws (maybe-apply/list line-widths zs))
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(define lss (maybe-apply/list line-styles zs))
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(define as (maybe-apply/list alphas zs))
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(for ([za (in-list zs)]
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[zb (in-list (rest zs))]
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[color (in-cycle cs)]
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[line-color (in-cycle lcs)]
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[line-width (in-cycle lws)]
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[line-style (in-cycle lss)]
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[alpha (in-cycle as)])
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(send area put-alpha alpha)
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(send area put-pen line-color line-width line-style)
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(send area put-brush color 'solid)
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(for ([ya (in-list ys)]
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[yb (in-list (rest ys))]
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[zs0 (in-vector zss)]
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[zs1 (in-vector zss 1)]
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#:when #t
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[xa (in-list xs)]
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[xb (in-list (rest xs))]
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[z1 (in-vector zs0)]
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[z2 (in-vector zs0 1)]
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[z3 (in-vector zs1 1)]
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[z4 (in-vector zs1)])
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(for ([poly (in-list (heights->polys xa xb ya yb za zb z1 z2 z3 z4))])
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(define center (vector (* 1/2 (+ xa xb))
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(* 1/2 (+ ya yb))
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(* 1/2 (+ (min z1 z2 z3 z4) (max z1 z2 z3 z4)))))
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(send area put-polygon poly center))))
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((contours3d-render-proc f levels samples contour-colors contour-widths contour-styles alphas #f)
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area)
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(cond [label (contour-intervals-legend-entries
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label zs labels colors '(solid) line-colors line-widths line-styles
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contour-colors contour-widths contour-styles)]
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[else empty]))
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(defproc (contour-intervals3d
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[f (real? real? . -> . real?)]
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[x-min (or/c real? #f) #f] [x-max (or/c real? #f) #f]
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[y-min (or/c real? #f) #f] [y-max (or/c real? #f) #f]
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[#:z-min z-min (or/c real? #f) #f] [#:z-max z-max (or/c real? #f) #f]
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[#:levels levels (or/c 'auto exact-positive-integer? (listof real?)) (contour-levels)]
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[#:samples samples (and/c exact-integer? (>=/c 2)) (plot3d-samples)]
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[#:colors colors plot-colors/c (contour-interval-colors)]
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[#:line-colors line-colors plot-colors/c (contour-interval-line-colors)]
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[#:line-widths line-widths pen-widths/c (contour-interval-line-widths)]
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[#:line-styles line-styles plot-pen-styles/c (contour-interval-line-styles)]
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[#:contour-colors contour-colors plot-colors/c (contour-colors)]
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[#:contour-widths contour-widths pen-widths/c (contour-widths)]
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[#:contour-styles contour-styles plot-pen-styles/c (contour-styles)]
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[#:alphas alphas alphas/c (contour-interval-alphas)]
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[#:label label (or/c string? #f) #f]
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) renderer3d?
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(define g (2d-function->sampler f))
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(renderer3d (vector (ivl x-min x-max) (ivl y-min y-max) (ivl z-min z-max))
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(surface3d-bounds-fun g samples)
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default-ticks-fun
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(contour-intervals3d-render-proc g levels samples colors
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line-colors line-widths line-styles
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contour-colors contour-widths contour-styles
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alphas label)))
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