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(defproject curlnoise "0.1.0-SNAPSHOT"
:description "Quil implementation of 'Curl-Noise for Procedural Fluid-Flow'"
:url "http://example.com/FIXME"
:license {:name "Eclipse Public License"
:url "http://www.eclipse.org/legal/epl-v10.html"}
:aot [curlnoise.core]
:main curlnoise.core
:dependencies [[org.clojure/clojure "1.10.1"]
[quil "3.1.0"]])

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(ns curlnoise.core
(:require [quil.core :as q]
[quil.middleware :as m]))
(def framerate 30)
(def res-x 800)
(def res-y res-x)
;; Lower grid size produces more points
(def grid-size 25)
;; Lower alpha produces *longer* particle trails
(def alpha 10)
;; Return sequence of [x y], with
(defn grid [nx ny]
"Returns lazy sequence of [x y], with x ranging in [0,nx) and y in [0,ny).
That is, the resultant sequence has nx*ny elements and goes through every
value of x and y in that range, varying y first and then x."
(mapcat
(fn [x] (map (fn [y] [x y]) (range ny)))
(range nx)))
(defn pix-grid [grid-size res-x res-y]
"Returns both grid indices and screen coordinates.
grid-size is the desired size of a grid square in pixels.
res-x and res-y are resolutions in X & Y (likewise in pixels).
More specifically, this returns a lazy sequence of [x y px py] for
which x & y are grid indices, and px & py are the corresponding
*center* point of that grid square.
x and y still are grid indices, but px and py are screen coordinates
for the *center* of the respective grid square.
"
(let [nx (int (/ res-x grid-size))
ny (int (/ res-y grid-size))
offset (int (/ grid-size 2))
x2pix #(+ offset (q/map-range % 0 nx 0 res-x))
y2pix #(+ offset (q/map-range % 0 ny 0 res-y))
]
(map (fn [[i j]] [i j (x2pix i) (y2pix j)]) (grid nx ny))))
(defn ramp [r]
"Ramp function suggested in 'Curl-Noise for Procedural Fluid-Flow'"
(cond (>= r 1.0) 1.0
(<= r -1.0) -1.0
:else (let [c1 (/ 15.0 8.0)
c3 (/ -10.0 8.0)
c5 (/ 3.0 8.0)]
(+ (* r c1)
(* (Math/pow r 3) c3)
(* (Math/pow r 5) c5)))))
(defn dist2 [x y]
(+ (* x x) (* y y)))
(defn dist [x y]
(Math/sqrt (dist2 x y)))
(defn setup []
(q/background 255)
(q/frame-rate framerate)
{:frame 0
:grid (pix-grid grid-size res-x res-y)
})
(defn update-state [state]
(let [w (q/width)
h (q/height)
;; Overall multiplier for velocity of particle:
vf 0.2
;; Domain scale for noise function:
scale 400.0
;; Amplitude multiplier for noise:
noise-scale (* scale 3.0)
;; Radius for mouse-thingy
rad 50.0
margin 0
eps (* w 1e-3)
mx (q/mouse-x)
my (q/mouse-y)
f-inv (/ scale)
;; "width of the modified region":
d0 150.0
;; distance of point to a circle of radius 'rad'
;; centered at mouse cursor:
d-mouse #(if (q/mouse-pressed?)
(- (dist (- mx %1) (- my %2)) rad)
1e6 ;; arbitrarily large value
)
;; function for distance to the border:
d-border (fn [x y]
(min
(- x margin)
(- y margin)
(- (- w margin) x)
(- (- h margin) y)))
;; potential modulation function - takes (x,y):
amp-fn #(ramp (min (/ (d-mouse %1 %2) d0)
(/ (d-border %1 %2) d0)))
;;amp-fn (fn [x y] 1.0)
;; Noise function - must take 3 arguments, (x,y,z):
n-fn #(* noise-scale (q/noise (* f-inv %1) (* f-inv %2) (* f-inv %3)))
;;n-fn (fn [x y z] (* x f-inv))
;; Overall amplitude function:
p-fn #(* vf (amp-fn %1 %2) (n-fn %1 %2 %3))
points
(map (fn [pt]
(let [[i j x y] pt
z (/ (:frame state) 50.0)
border (if (and (and (> x margin) (< x (- w margin)))
(and (> y margin) (< x (- h margin))))
1.0 0.0)
;; Potential at (x, y, z):
n (p-fn x y z)
n-dx (p-fn (+ x eps) y z)
n-dy (p-fn x (+ y eps) z)
;; Velocity by finite differences:
vx (/ (- n-dy n) eps)
vy (/ (- n n-dx) eps)
;; Updated point position:
x2 (+ x vx)
y2 (+ y vy)]
[i j x2 y2]
)) (:grid state))]
(-> state
(update :frame inc)
(assoc :grid points))))
(defn draw-state [state]
;;(q/background 255)
(q/fill 255 255 255 alpha)
(q/rect 0 0 (q/width) (q/height))
(q/stroke 0)
(q/stroke-weight 3)
(let [pix (q/pixels)
w (q/width)
color (+ 255 (* 256 255) (* 256 256 255))
]
(doseq [point (:grid state)]
(let [[i j px py] point
;;pix (q/pixels)
]
;;(aset-int pix (+ px (* py w)) color)
(q/point px py)
))
;;(q/update-pixels)
))
(defn update-state-circles [state]
(update state :frame inc))
(defn draw-state-circles [state]
(q/background 240)
(q/fill 0 0 0)
(doseq [point (:grid state)]
(let [[i j px py] point
z (/ (:frame state) 50.0)
x (/ i 10.0)
y (/ j 10.0)
rad (int (* (q/noise x y z) grid-size))]
(q/ellipse px py rad rad))))
(q/defsketch curlnoise
:title "Curl Noise"
:size [res-x res-y]
:setup setup
:update update-state
:draw draw-state
:features [:keep-on-top]
:middleware [m/fun-mode m/pause-on-error])
(defn -main [& args]
(q/sketch
:title "Curl Noise"
:size [res-x res-y]
:setup setup
:update update-state
:draw draw-state
:features []
:middleware [m/fun-mode]))