





import colorsys

from PIL import Image  # type: ignore


def       SCREAMING_SNAKE_CASE__  (       _lowercase     : float   ,    _lowercase     : float   ,    _lowercase     : int			)   ->							float:




		'''simple docstring'''
		lowercase__					:      Union[str, Any]      =		x
		lowercase__					:      Union[str, Any]      =		y
		for step in range(_lowercase			):  # noqa: B007
				lowercase__					:      Optional[int]      =		a * a - b * b + x
				lowercase__					:      str      =		2 * a * b + y
				lowercase__					:      str      =		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       SCREAMING_SNAKE_CASE__  (       _lowercase     : float			)   ->							tuple:




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


def       SCREAMING_SNAKE_CASE__  (       _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       SCREAMING_SNAKE_CASE__  (       _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'''
		lowercase__					:      int      =		Image.new('RGB'   ,    (image_width, image_height)			)
		lowercase__					:      Union[str, Any]      =		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
						lowercase__					:      List[Any]      =		figure_width / image_width * image_height
						lowercase__					:      List[str]      =		figure_center_x + (image_x / image_width - 0.5) * figure_width
						lowercase__					:      List[str]      =		figure_center_y + (image_y / image_height - 0.5) * figure_height

						lowercase__					:      int      =		get_distance(_lowercase   ,    _lowercase   ,    _lowercase			)

						# color the corresponding pixel based on the selected coloring-function
						if use_distance_color_coding:
								lowercase__					:      Union[str, Any]      =		get_color_coded_rgb(_lowercase			)
						else:
								lowercase__					:      Dict      =		get_black_and_white_rgb(_lowercase			)

		return img


if __name__ == "__main__":
			import doctest

			doctest.testmod()

			# colored version, full figure
			__UpperCamelCase:	List[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()









import enum
import shutil
import sys


__UpperCamelCase,	__UpperCamelCase:	Optional[int] = shutil.get_terminal_size()

__UpperCamelCase:	Optional[Any] = {"""UP""": """A""", """DOWN""": """B""", """RIGHT""": """C""", """LEFT""": """D"""}


class       __lowerCAmelCase					(       enum.Enum      ):


	'''simple docstring'''





	_A													=				0
	_A													=				1


def       SCREAMING_SNAKE_CASE__  (       _lowercase     : List[Any]   ,    _lowercase     : Union[str, Any]=""			)   ->							int:




		'''simple docstring'''
		sys.stdout.write(str(_lowercase			) + end			)
		sys.stdout.flush()


def       SCREAMING_SNAKE_CASE__  (       _lowercase     : Optional[Any]   ,    _lowercase     : Union[str, Any]   ,    _lowercase     : Optional[int]=""			)   ->							str:




		'''simple docstring'''
		forceWrite(f"""\u001b[{color}m{content}\u001b[0m"""   ,    _lowercase			)


def       SCREAMING_SNAKE_CASE__  (       )   ->							int:




		'''simple docstring'''
		forceWrite('\r'			)


def       SCREAMING_SNAKE_CASE__  (       _lowercase     : int   ,    _lowercase     : str			)   ->							List[Any]:




		'''simple docstring'''
		forceWrite(f"""\033[{num_lines}{CURSOR_TO_CHAR[direction.upper()]}"""			)


def       SCREAMING_SNAKE_CASE__  (       )   ->							Dict:




		'''simple docstring'''
		forceWrite(' ' * TERMINAL_WIDTH			)
		reset_cursor()





def       SCREAMING_SNAKE_CASE__  (       )   ->							List[str]:




		'''simple docstring'''
		reset_cursor()
		forceWrite('-' * TERMINAL_WIDTH			)


