racket/collects/plot/tests/isosurface-tests.rkt
Neil Toronto 553c72ab28 Moved some flonum stuff (e.g. flatan2, flnext, +max.0, +min.0, etc.) to unstable/flonum (will document in another commit)
Moved Racket-language, doc-generating "defthing" defines to unstable/latent-contract/defthing (will document in another commit)
2011-11-25 18:40:19 -07:00

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#lang racket
(require plot plot/utils unstable/flonum)
(time
(plot3d (isosurface3d (λ (x y z) (sqrt (+ (sqr x) (sqr y) (sqr z)))) 1
#:color 2 #:line-style 'transparent
#:label "Sphere")
#:x-min -0.8 #:x-max 0.8
#:y-min -0.8 #:y-max 0.8
#:z-min -0.8 #:z-max 0.8
#:altitude 30
#:legend-anchor 'center))
(time
(define saddle (λ (x y z) (- (sqr x) (* 1/2 (+ (sqr y) (sqr z))))))
(plot3d (isosurfaces3d saddle #:d-min -1 #:d-max 1 #:label "d")
#:x-min -2 #:x-max 2
#:y-min -2 #:y-max 2
#:z-min -2 #:z-max 2
#:legend-anchor 'top-left))
(time
(define saddle (λ (x y z) (- (sqr x) (* 1/2 (+ (sqr y) (sqr z))))))
(plot3d (isosurfaces3d saddle #:d-min -1 #:d-max 1
#:colors '(1 2 3)
#:line-colors '(1 2 3)
#:line-styles '(solid)
#:alphas '(3/4)
#:label "d")
#:x-min -2 #:x-max 2
#:y-min -2 #:y-max 2
#:z-min -2 #:z-max 2
#:legend-anchor 'top-left))
(time
(define saddle (λ (x y z) (- (sqr x) (* 1/2 (+ (sqr y) (sqr z))))))
(plot3d (isosurface3d saddle -1/4 #:samples 21
#:color "black" #:style 3
#:alpha 1
#:label "d = -1/4")
#:x-min -2 #:x-max 2
#:y-min -2 #:y-max 2
#:z-min -2 #:z-max 2))
(define 2pi (* 2 pi))
(time
(define (f1 θ ρ) (+ 1 (/ θ 2pi) (* 1/8 (sin (* 8 ρ)))))
(define (f2 θ ρ) (+ (/ θ 2pi) (* 1/8 (sin (* 8 ρ)))))
(plot3d (list (polar3d f1 #:samples 41 #:color "navajowhite" #:line-style 'transparent #:alpha 2/3)
(polar3d f2 #:samples 41 #:color "navajowhite" #:line-style 'transparent #:alpha 2/3)
(parametric3d (λ (ρ) (3d-polar->3d-cartesian 0 ρ (f1 2pi ρ)))
(* -1/2 pi) (* 1/2 pi)
#:color "navajowhite" #:width 2)
(lines3d '(#(0 0 2) #(0 0 -2)) #:color "navajowhite" #:width 2))
#:title "A Seashell" #:x-label #f #:y-label #f #:angle 210 #:altitude 30))
(define flepsilon (flnext 0.0))
(time
(plot3d (isosurface3d (λ (x y z) (+ (sqr x) (sqr y) (sqr z))) (sqr (inexact->exact flepsilon))
(- flepsilon) flepsilon (- flepsilon) flepsilon (- flepsilon) flepsilon)))