racket/collects/plot/plot3d/surface.rkt
Neil Toronto 365ee2c70d 1d, 2d and 3d function renderers no longer sample outside the function's bounds
This makes it more efficient to plot piecewise functions by drawing each piece with one renderer, and possible to plot functions with discontinuities by using a renderer to draw each continuous piece.
2012-05-25 10:40:05 +09:00

58 lines
2.5 KiB
Racket

#lang racket/base
(require racket/class racket/match racket/list racket/flonum racket/contract
unstable/latent-contract/defthing
plot/utils)
(provide (all-defined-out))
;; ===================================================================================================
;; Surface plots of R R -> R functions
(define ((surface3d-render-proc f samples color style line-color line-width line-style alpha label)
area)
(match-define (vector x-ivl y-ivl z-ivl) (send area get-bounds-rect))
(define num (animated-samples samples))
(define sample (f (vector x-ivl y-ivl) (vector num num)))
(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)
(send area put-alpha alpha)
(send area put-brush color style)
(send area put-pen line-color line-width line-style)
(let* ([flonum-ok? (flonum-ok-for-3d? x-min x-max y-min y-max z-min z-max)]
[sample (if flonum-ok? (2d-sample-exact->inexact sample) sample)])
(for-2d-sample
(xa xb ya yb z1 z2 z3 z4) sample
(send area put-polygon
(list (vector xa ya z1) (vector xb ya z2) (vector xb yb z3) (vector xa yb z4)))))
(cond [label (rectangle-legend-entry label color style line-color line-width line-style)]
[else empty]))
(defproc (surface3d
[f (real? real? . -> . real?)]
[x-min (or/c rational? #f) #f] [x-max (or/c rational? #f) #f]
[y-min (or/c rational? #f) #f] [y-max (or/c rational? #f) #f]
[#:z-min z-min (or/c rational? #f) #f] [#:z-max z-max (or/c rational? #f) #f]
[#:samples samples (and/c exact-integer? (>=/c 2)) (plot3d-samples)]
[#:color color plot-color/c (surface-color)]
[#:style style plot-brush-style/c (surface-style)]
[#:line-color line-color plot-color/c (surface-line-color)]
[#:line-width line-width (>=/c 0) (surface-line-width)]
[#:line-style line-style plot-pen-style/c (surface-line-style)]
[#:alpha alpha (real-in 0 1) (surface-alpha)]
[#:label label (or/c string? #f) #f]
) renderer3d?
(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)
(surface3d-bounds-fun g samples)
default-ticks-fun
(surface3d-render-proc g samples color style
line-color line-width line-style alpha label)))