

"""simple docstring"""




import colorsys

from PIL import Image  # type: ignore



def 	UpperCAmelCase__   (				A__	,    A__	,    A__   )      ->      float:




   """simple docstring"""
   lowerCamelCase__						=			x
   lowerCamelCase__						=			y
   for step in range(A__   ):  # noqa: B007
      lowerCamelCase__						=			a * a - b * b + x
      lowerCamelCase__						=			2 * a * b + y
      lowerCamelCase__						=			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 	UpperCAmelCase__   (				A__   )      ->      tuple:




   """simple docstring"""
   if distance == 1:
      return (0, 0, 0)
   else:
      return (255, 255, 255)



def 	UpperCAmelCase__   (				A__   )      ->      tuple:




   """simple docstring"""
   if distance == 1:
      return (0, 0, 0)
   else:
      return tuple(round(i * 255   ) for i in colorsys.hsv_to_rgb(A__	,    1	,    1   )   )



def 	UpperCAmelCase__   (				A__ = 800	,    A__ = 600	,    A__ = -0.6	,    A__ = 0	,    A__ = 3.2	,    A__ = 50	,    A__ = True	,    )      ->      Image.Image:




   """simple docstring"""
   lowerCamelCase__						=			Image.new("RGB"	,    (image_width, image_height)   )
   lowerCamelCase__						=			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
         lowerCamelCase__						=			figure_width / image_width * image_height
         lowerCamelCase__						=			figure_center_x + (image_x / image_width - 0.5) * figure_width
         lowerCamelCase__						=			figure_center_y + (image_y / image_height - 0.5) * figure_height

         lowerCamelCase__						=			get_distance(A__	,    A__	,    A__   )

         # color the corresponding pixel based on the selected coloring-function
         if use_distance_color_coding:
            lowerCamelCase__						=			get_color_coded_rgb(A__   )
         else:
            lowerCamelCase__						=			get_black_and_white_rgb(A__   )

   return img


if __name__ == "__main__":
     import doctest

     doctest.testmod()

     # colored version, full figure
     SCREAMING_SNAKE_CASE_     :			str	  =			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()







"""simple docstring"""




# flake8: noqa
# Lint as: python3
SCREAMING_SNAKE_CASE_     :			Dict	  =			[
    '''VerificationMode''',
    '''Version''',
    '''disable_progress_bar''',
    '''enable_progress_bar''',
    '''is_progress_bar_enabled''',
    '''experimental''',
]

from .info_utils import VerificationMode
from .logging import disable_progress_bar, enable_progress_bar, is_progress_bar_enabled
from .version import Version
from .experimental import experimental




