import colorsys

from PIL import Image  # type: ignore

def 							UpperCamelCase				(    lowerCAmelCase_       ,					lowerCAmelCase_       ,					lowerCAmelCase_   )		->						float:




       '''simple docstring'''






       _A=	x
       _A=	y
       for step in range(lowerCAmelCase_   ):  # noqa: B007
              _A=	a * a - b * b + x
              _A=	2 * a * b + y
              _A=	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				(    lowerCAmelCase_   )		->						tuple:




       '''simple docstring'''






       if distance == 1:
              return (0, 0, 0)
       else:
              return (2_55, 2_55, 2_55)

def 							UpperCamelCase				(    lowerCAmelCase_   )		->						tuple:




       '''simple docstring'''






       if distance == 1:
              return (0, 0, 0)
       else:
              return tuple(round(i * 2_55   ) for i in colorsys.hsv_to_rgb(lowerCAmelCase_       ,					1       ,					1   )   )

def 							UpperCamelCase				(    lowerCAmelCase_ = 8_00       ,					lowerCAmelCase_ = 6_00       ,					lowerCAmelCase_ = -0.6       ,					lowerCAmelCase_ = 0       ,					lowerCAmelCase_ = 3.2       ,					lowerCAmelCase_ = 50       ,					lowerCAmelCase_ = True       ,					)		->						Image.Image:




       '''simple docstring'''






       _A=	Image.new('RGB'       ,					(image_width, image_height)   )
       _A=	img.load()

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

                     _A=	get_distance(lowerCAmelCase_       ,					lowerCAmelCase_       ,					lowerCAmelCase_   )

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

       return img


if __name__ == "__main__":
      import doctest

      doctest.testmod()

      # colored version, full figure
      UpperCAmelCase_								=							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()
from ..utils import DummyObject, requires_backends





class      lowerCAmelCase						(					metaclass=_a			):
     _SCREAMING_SNAKE_CASE     :     Optional[int]		=["""transformers""", """torch""", """note_seq"""]



     def __init__(					self				,      *lowerCAmelCase__				,      **lowerCAmelCase__       ):
            requires_backends(self				,      ['transformers', 'torch', 'note_seq']       )



     @classmethod
     def 			a__  (					cls				,      *lowerCAmelCase__				,      **lowerCAmelCase__       ):
            requires_backends(cls				,      ['transformers', 'torch', 'note_seq']       )





     @classmethod
     def 			a__  (					cls				,      *lowerCAmelCase__				,      **lowerCAmelCase__       ):
            requires_backends(cls				,      ['transformers', 'torch', 'note_seq']       )