





"""simple docstring"""


import colorsys

from PIL import Image  # type: ignore

def      UpperCamelCase							(SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE     ):
						UpperCamelCase				:		Optional[int]				   =			x
						UpperCamelCase				:		str				   =			y
						for step in range(SCREAMING_SNAKE_CASE     ):  # noqa: B007
												UpperCamelCase				:		str				   =			a * a - b * b + x
												UpperCamelCase				:		Any				   =			2 * a * b + y
												UpperCamelCase				:		List[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      UpperCamelCase							(SCREAMING_SNAKE_CASE     ):
						if distance == 1:
												return (0, 0, 0)
						else:
												return (255, 255, 255)

def      UpperCamelCase							(SCREAMING_SNAKE_CASE     ):
						if distance == 1:
												return (0, 0, 0)
						else:
												return tuple(round(i * 255     ) for i in colorsys.hsv_to_rgb(SCREAMING_SNAKE_CASE							,     1							,     1     )     )

def      UpperCamelCase							(SCREAMING_SNAKE_CASE = 800							,     SCREAMING_SNAKE_CASE = 600							,     SCREAMING_SNAKE_CASE = -0.6							,     SCREAMING_SNAKE_CASE = 0							,     SCREAMING_SNAKE_CASE = 3.2							,     SCREAMING_SNAKE_CASE = 50							,     SCREAMING_SNAKE_CASE = True							,     ):
						UpperCamelCase				:		Tuple				   =			Image.new("""RGB"""							,     (image_width, image_height)     )
						UpperCamelCase				:		Dict				   =			img.load()

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

																		UpperCamelCase				:		Union[str, Any]				   =			get_distance(SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE     )

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

						return img


if __name__ == "__main__":
		import doctest

		doctest.testmod()

		# colored version, full figure
		__magic_name__       :					int						=			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"""



from __future__ import annotations

from math import pow, sqrt


def 	SCREAMING_SNAKE_CASE__       (  snake_case       : float			,					snake_case       : float			,					snake_case       : float				)->		dict[str, float]:






     '''simple docstring'''



     if (resistance, reactance, impedance).count(0				) != 1:
          raise ValueError("One and only one argument must be 0"				)
     if resistance == 0:
          return {"resistance": sqrt(pow(snake_case			,					2				) - pow(snake_case			,					2				)				)}
     elif reactance == 0:
          return {"reactance": sqrt(pow(snake_case			,					2				) - pow(snake_case			,					2				)				)}
     elif impedance == 0:
          return {"impedance": sqrt(pow(snake_case			,					2				) + pow(snake_case			,					2				)				)}
     else:
          raise ValueError("Exactly one argument must be 0"				)


if __name__ == "__main__":
 import doctest

 doctest.testmod()


