How to resolve the algorithm Mandelbrot set step by step in the Clojure programming language

Published on 12 May 2024 09:40 PM
#Clojure

How to resolve the algorithm Mandelbrot set step by step in the Clojure programming language

Table of Contents

Problem Statement

Generate and draw the Mandelbrot set.

Note that there are many algorithms to draw Mandelbrot set and there are many functions which generate it .

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Mandelbrot set step by step in the Clojure programming language

Source code in the clojure programming language

(defn complex-add
  [[a0 b0] [a1 b1]]
  [(+ a0 a1) (+ b0 b1)])

(defn complex-square
  [[a b]]
  [(- (* a a) (* b b)) (* 2 a b)])

(defn complex-abs
  [[a b]]
  (Math/sqrt (+ (* a a) (* b b))))

(defn f
  [z c]
  (complex-add z (complex-square c)))

(defn mandelbrot?
  [z]
  (> 2 (complex-abs (nth (iterate (partial f z) [0 0]) 20))))

(doseq [y (range 1 -1 -0.05)]
  (doseq [x (range -2 0.5 0.0315)]
    (print (if (mandelbrot? [(double x) (double y)]) "*" " ")))
  (println ""))

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