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ex65_reaction_diffusion.clj
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;; https://www.karlsims.com/rd.html
;; press space to select k and f
;; press m to back to a map
;; left click to seed B
(ns ex65-reaction-diffusion
(:require [fastmath.core :as m]
[fastmath.random :as r]
[clojure2d.core :as c2d]
[clojure2d.color :as c]
[fastmath.vector :as v])
(:import [fastmath.java Array]))
(set! *warn-on-reflection* true)
(set! *unchecked-math* :warn-on-boxed)
(def ^:const size 450)
(def ^:const scale 2)
(def ^:const csize (m/* scale size))
(def ^:const size2 (m/* size size))
(def rsize (range size))
(defn setup []
(let [A (double-array size2 1.0)
dA (double-array size2)
B (double-array size2 0.0)
dB (double-array size2)]
(doseq [^long x (range 50 100)
^long y (range 120 180)]
(Array/set2d B size x y (r/drand))
(Array/set2d B size y x (r/drand)))
(doseq [^long x (repeatedly 100 #(r/irand size))
^long y (repeatedly 100 #(r/irand size))]
(Array/set2d B size x y (r/drand))
(Array/set2d B size y x (r/drand)))
{:A A :dA dA
:B B :dB dB
:Da 1.0 :Db m/THIRD
:f 0.055 :k 0.062
:dt 1.0
:show-map? true
:color-a? true}))
(defn diffuse! [^double d ^doubles source ^doubles target]
(doseq [^long x rsize ^long y rsize
:let [x- (m/mod (m/dec x) size)
x+ (m/mod (m/inc x) size)
y- (m/mod (m/dec y) size)
y+ (m/mod (m/inc y) size)]]
(Array/set2d target size x y (m/* d (m/- (m/+ (m/* 0.05 (m/+ (Array/get2d source size x- y-)
(Array/get2d source size x+ y-)
(Array/get2d source size x- y+)
(Array/get2d source size x+ y+)))
(m/* 0.2 (m/+ (Array/get2d source size x- y)
(Array/get2d source size x+ y)
(Array/get2d source size x y-)
(Array/get2d source size x y+))))
(Array/get2d source size x y))))))
(defn norm-f ^double [^double y] (m/mnorm y 0 size 0.15 0.001))
(defn norm-k ^double [^double x] (m/mnorm x 0 size 0.041 0.085))
(defn step [{:keys [^doubles A ^doubles dA ^doubles B ^doubles dB ^double dt
^double Da ^double Db ^double f ^double k show-map?] :as data}]
(diffuse! Da A dA)
(diffuse! Db B dB)
(doseq [^long x rsize ^long y rsize
:let [a (Array/get2d A size x y)
b (Array/get2d B size x y)
abb (m/* a b b)
f (if show-map? (norm-f y) f)
k (if show-map? (norm-k x) k)]]
(Array/set2d A size x y (m/constrain (m/+ a (m/* dt (m/+ (Array/get2d dA size x y)
(m/- (m/* f (m/- 1.0 a)) abb)))) 0.0 1.0))
(Array/set2d B size x y (m/constrain (m/+ b (m/* dt (m/+ (Array/get2d dB size x y)
(m/- abb (m/* (m/+ f k) b))))) 0.0 1.0)))
data)
(defn color-a [^double a ^double b] (v/vec3 (m/- 1.0 a) b (m/sqrt (m/* a b))))
(defn color-b [^double a ^double b] (v/vec3 (m/- 1.0 b) a (m/sqrt (m/* b a))))
(defn draw
[canvas window _ {:keys [^doubles A ^doubles B show-map? f k] :as curr}]
(when (c2d/mouse-pressed? window)
(let [[x y] (v/div (c2d/mouse-pos window) scale)]
(dotimes [_ 20] (Array/set2d B size
(m/mod (m/+ (r/irand -10 10) (int x)) size)
(m/mod (m/+ (r/irand -10 10) (int y)) size) (r/drand)))))
(let [[^double mx ^double my] (v/div (c2d/mouse-pos window) scale)
curr (if (c2d/key-pressed? window)
(condp = (c2d/key-code window)
:space (let []
(assoc curr
:f (norm-f my)
:k (norm-k mx)
:show-map? false))
:m (assoc curr :show-map? true)
:z (update curr :color-a? not)
curr)
curr)
color-fn (if (:color-a? curr) color-a color-b)]
(c2d/set-background canvas (c/color 10 10 20) 100)
(doseq [^long x rsize ^long y rsize
:let [a (Array/get2d A size x y)
b (Array/get2d B size x y)]]
(c2d/set-color canvas (v/mult (color-fn a b) 255.0))
(c2d/rect canvas (m/* x scale) (m/* y scale) scale scale))
(let [f (m/approx (if show-map? (norm-f my) f) 6)
k (m/approx (if show-map? (norm-k mx) k) 6)]
(-> canvas
(c2d/set-color :light-blue 200)
(c2d/rect 8 9 80 38)
(c2d/set-color :black)
(c2d/set-font-attributes 12 :bold)
(c2d/text (str "f=" f) 15 25)
(c2d/text (str "k=" k) 15 40)))
(step curr)))
(def window (c2d/show-window {:canvas (c2d/black-canvas csize csize :mid)
:draw-fn draw
:background :black
:draw-state (step (setup))}))
(comment (c2d/save window "results/ex65/rd.jpg"))