





"""simple docstring"""
import copy
from dataclasses import dataclass
from pathlib import Path
from typing import Dict, Optional, Union






@dataclass
class  _SCREAMING_SNAKE_CASE:
       SCREAMING_SNAKE_CASE_       :				Optional[Union[str, Path]]     						=  None
       SCREAMING_SNAKE_CASE_       :				bool     						=  False
       SCREAMING_SNAKE_CASE_       :				bool     						=  False
       SCREAMING_SNAKE_CASE_       :				bool     						=  False
       SCREAMING_SNAKE_CASE_       :				Optional[Dict]     						=  None
       SCREAMING_SNAKE_CASE_       :				Optional[str]     						=  None
       SCREAMING_SNAKE_CASE_       :				bool     						=  False
       SCREAMING_SNAKE_CASE_       :				bool     						=  False
       SCREAMING_SNAKE_CASE_       :				bool     						=  False
       SCREAMING_SNAKE_CASE_       :				bool     						=  True
       SCREAMING_SNAKE_CASE_       :				Optional[int]     						=  None
       SCREAMING_SNAKE_CASE_       :				int     						=  1
       SCREAMING_SNAKE_CASE_       :				Optional[Union[str, bool]]     						=  None
       SCREAMING_SNAKE_CASE_       :				bool     						=  False
       SCREAMING_SNAKE_CASE_       :				Optional[Dict]     						=  None
       SCREAMING_SNAKE_CASE_       :				Optional[str]     						=  None




       def    _UpperCamelCase					(						self							)      ->				"DownloadConfig":





             """simple docstring"""






             return self.__class__(**{k: copy.deepcopy(SCREAMING_SNAKE_CASE__							) for k, v in self.__dict__.items()}							)






"""simple docstring"""
import colorsys

from PIL import Image  # type: ignore



def 					__lowerCamelCase       (							a_					:		float			,       a_					:		float			,       a_					:		int							)      ->				float:
      __SCREAMING_SNAKE_CASE       :List[Any]		    =  x
      __SCREAMING_SNAKE_CASE       :List[Any]		    =  y
      for step in range(a_							):  # noqa: B007
            __SCREAMING_SNAKE_CASE       :Dict		    =  a * a - b * b + x
            __SCREAMING_SNAKE_CASE       :Tuple		    =  2 * a * b + y
            __SCREAMING_SNAKE_CASE       :Dict		    =  a_new

            # divergence happens for all complex number with an absolute value
            # greater than 4
            if a * a + b * b > 4:
                  break
      return step / (max_step - 1)



def 					__lowerCamelCase       (							a_					:		float							)      ->				tuple:
      if distance == 1:
            return (0, 0, 0)
      else:
            return (2_55, 2_55, 2_55)



def 					__lowerCamelCase       (							a_					:		float							)      ->				tuple:
      if distance == 1:
            return (0, 0, 0)
      else:
            return tuple(round(i * 2_55							) for i in colorsys.hsv_to_rgb(a_			,       1			,       1							)							)



def 					__lowerCamelCase       (							a_					:		int = 8_00			,       a_					:		int = 6_00			,       a_					:		float = -0.6			,       a_					:		float = 0			,       a_					:		float = 3.2			,       a_					:		int = 50			,       a_					:		bool = True			,       )      ->				Image.Image:
      __SCREAMING_SNAKE_CASE       :Optional[int]		    =  Image.new('''RGB'''			,       (image_width, image_height)							)
      __SCREAMING_SNAKE_CASE       :Tuple		    =  img.load()

      # loop through the image-coordinates
      for image_x in range(a_							):
            for image_y in range(a_							):
                  # determine the figure-coordinates based on the image-coordinates
                  __SCREAMING_SNAKE_CASE       :Dict		    =  figure_width / image_width * image_height
                  __SCREAMING_SNAKE_CASE       :str		    =  figure_center_x + (image_x / image_width - 0.5) * figure_width
                  __SCREAMING_SNAKE_CASE       :Tuple		    =  figure_center_y + (image_y / image_height - 0.5) * figure_height

                  __SCREAMING_SNAKE_CASE       :List[Any]		    =  get_distance(a_			,       a_			,       a_							)

                  # color the corresponding pixel based on the selected coloring-function
                  if use_distance_color_coding:
                        __SCREAMING_SNAKE_CASE       :Optional[int]		    =  get_color_coded_rgb(a_							)
                  else:
                        __SCREAMING_SNAKE_CASE       :Optional[Any]		    =  get_black_and_white_rgb(a_							)

      return img


if __name__ == "__main__":
  import doctest

  doctest.testmod()

  # colored version, full figure
  lowerCamelCase_       =		get_image()

  # uncomment for colored version, different section, zoomed in
  # img = get_image(figure_center_x = -0.6, figure_center_y = -0.4,
  # figure_width = 0.8)

  # uncomment for black and white version, full figure
  # img = get_image(use_distance_color_coding = False)

  # uncomment to save the image
  # img.save("mandelbrot.png")

  img.show()