


'''simple docstring'''
import colorsys

from PIL import Image  # type: ignore


def       a				(      __a			, __a			, __a       )  ->     float:



					'''simple docstring'''






					UpperCamelCase__       :Dict							 =			x
					UpperCamelCase__       :str							 =			y
					for step in range(__a       ):  # noqa: B007
										UpperCamelCase__       :List[Any]							 =			a * a - b * b + x
										UpperCamelCase__       :Any							 =			2 * a * b + y
										UpperCamelCase__       :Optional[Any]							 =			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       a				(      __a       )  ->     tuple:



					'''simple docstring'''






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


def       a				(      __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       a				(      __a = 800			, __a = 600			, __a = -0.6			, __a = 0			, __a = 3.2			, __a = 50			, __a = True			, )  ->     Image.Image:



					'''simple docstring'''






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

															UpperCamelCase__       :Dict							 =			get_distance(__a			, __a			, __a       )

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

					return img


if __name__ == "__main__":
	import doctest

	doctest.testmod()

	# colored version, full figure
	__snake_case											=					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'''
# tests directory-specific settings - this file is run automatically
# by pytest before any tests are run

import sys
import warnings
from os.path import abspath, dirname, join


# allow having multiple repository checkouts and not needing to remember to rerun
# 'pip install -e .[dev]' when switching between checkouts and running tests.
__snake_case											=					abspath(join(dirname(dirname(__file__)), '''src'''))
sys.path.insert(1, git_repo_path)

# silence FutureWarning warnings in tests since often we can't act on them until
# they become normal warnings - i.e. the tests still need to test the current functionality
warnings.simplefilter(action='''ignore''', category=FutureWarning)


def       a				(      __a       )  ->     Optional[int]:



					'''simple docstring'''






					from diffusers.utils.testing_utils import pytest_addoption_shared

					pytest_addoption_shared(__a       )







def       a				(      __a       )  ->     str:



					'''simple docstring'''






					from diffusers.utils.testing_utils import pytest_terminal_summary_main

					UpperCamelCase__       :Union[str, Any]							 =			terminalreporter.config.getoption('''--make-reports'''       )
					if make_reports:
										pytest_terminal_summary_main(__a			, id=__a       )