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

Published on 12 May 2024 09:40 PM

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

Source code in the unix programming language

function mandelbrot() {
  local -ir maxiter=100
  local -i i j {x,y}m{in,ax} d{x,y}
  local -ra C=( {0..9} )
  local -i lC=${#C[*]}
  local -i columns=${COLUMNS:-72} lines=${LINES:-24}

  ((
    xmin=-21*4096/10,
    xmax=  7*4096/10,
    
    ymin=-12*4096/10,
    ymax= 12*4096/10,

    dx=(xmax-xmin)/columns,
    dy=(ymax-ymin)/lines
  ))

  for ((cy=ymax, i=0; i
  do for ((cx=xmin, j=0; j
    do (( x=0, y=0, x2=0, y2=0 ))
      for (( iter=0; iter
      do
        ((
          y=((x*y)>>11)+cy,
          x=x2-y2+cx,
          x2=(x*x)>>12,
          y2=(y*y)>>12
        ))
      done
      ((c=iter%lC))
      echo -n "${C[c]}"
    done
    echo
  done
}

  

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