





'''simple docstring'''




import colorsys

from PIL import Image  # type: ignore
def 	UpperCAmelCase_							(					__lowercase							:      float			,     __lowercase							:      float			,     __lowercase							:      int       )		->       float:


     '''simple docstring'''



     _UpperCAmelCase     							=   x
     _UpperCAmelCase     							=   y
     for step in range(__lowercase       ):  # noqa: B007
          _UpperCAmelCase     							=   a * a - b * b + x
          _UpperCAmelCase     							=   2 * a * b + y
          _UpperCAmelCase     							=   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_							(					__lowercase							:      float       )		->       tuple:


     '''simple docstring'''



     if distance == 1:
          return (0, 0, 0)
     else:
          return (255, 255, 255)
def 	UpperCAmelCase_							(					__lowercase							:      float       )		->       tuple:


     '''simple docstring'''



     if distance == 1:
          return (0, 0, 0)
     else:
          return tuple(round(i * 255       ) for i in colorsys.hsv_to_rgb(__lowercase			,     1			,     1       )       )
def 	UpperCAmelCase_							(					__lowercase							:      int = 800			,     __lowercase							:      int = 600			,     __lowercase							:      float = -0.6			,     __lowercase							:      float = 0			,     __lowercase							:      float = 3.2			,     __lowercase							:      int = 50			,     __lowercase							:      bool = True			,     )		->       Image.Image:


     '''simple docstring'''



     _UpperCAmelCase     							=   Image.new("RGB"			,     (image_width, image_height)       )
     _UpperCAmelCase     							=   img.load()

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

               _UpperCAmelCase     							=   get_distance(__lowercase			,     __lowercase			,     __lowercase       )

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

     return img


if __name__ == "__main__":
  import doctest

  doctest.testmod()

  # colored version, full figure
  __SCREAMING_SNAKE_CASE     :Any       =				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'''




def 	UpperCAmelCase_							(					__lowercase							:      str       )		->       str:


     '''simple docstring'''



     return " ".join(
         "".join(word[::-1]       ) if len(__lowercase       ) > 4 else word for word in sentence.split()       )


if __name__ == "__main__":
  import doctest

  doctest.testmod()
  print(reverse_long_words('''Hey wollef sroirraw'''))




