

'''simple docstring'''

import warnings
from collections.abc import Callable
from typing import Any

import numpy
from matplotlib import pyplot

a       :      List[str]  	=			0.2_5 + 0.0j
a       :      List[Any]  	=			-0.4 + 0.6j
a       :      Any  	=			-0.1 + 0.651j
a       :      Optional[Any]  	=			-2.0
a       :      List[Any]  	=			56
a       :      str  	=			2.0
a       :      Tuple  	=			6_66





def 				lowercase (					__magic_name__			,   __magic_name__							):



					'''simple docstring'''







					return numpy.exp(__magic_name__							) + c_parameter





def 				lowercase (					__magic_name__			,   __magic_name__							):



					'''simple docstring'''







					return z_values * z_values + c_parameter





def 				lowercase (					__magic_name__			,   __magic_name__							):



					'''simple docstring'''







					UpperCAmelCase		:							Any        =       numpy.linspace(-window_size			,   __magic_name__			,   __magic_name__							)
					UpperCAmelCase		:							List[str]        =       x.reshape((nb_pixels, 1)							)
					UpperCAmelCase		:							List[str]        =       numpy.linspace(-window_size			,   __magic_name__			,   __magic_name__							)
					UpperCAmelCase		:							str        =       y.reshape((1, nb_pixels)							)
					return x + 1.0j * y





def 				lowercase (					__magic_name__			,   __magic_name__			,   __magic_name__			,   __magic_name__			,   __magic_name__ = None			,   ):



					'''simple docstring'''







					UpperCAmelCase		:							Optional[int]        =       z_a.astype("complex64"							)
					for _ in range(__magic_name__							):
										UpperCAmelCase		:							Optional[int]        =       eval_function(__magic_name__			,   __magic_name__							)
										if infinity is not None:
															numpy.nan_to_num(__magic_name__			,   copy=__magic_name__			,   nan=__magic_name__							)
															UpperCAmelCase		:							List[Any]        =       infinity
					return z_n





def 				lowercase (					__magic_name__			,   __magic_name__			,   __magic_name__			,   __magic_name__			,   ):



					'''simple docstring'''







					UpperCAmelCase		:							Dict        =       (abs(__magic_name__							)).transpose()
					UpperCAmelCase		:							Dict        =       abs_z_final[::-1, :]
					pyplot.matshow(abs_z_final < escape_radius							)
					pyplot.title(F"Julia set of ${function_label}$, $c={function_params}$"							)
					pyplot.show()





def 				lowercase (					):



					'''simple docstring'''







					warnings.filterwarnings(
					    "ignore"			,   category=__magic_name__			,   message="overflow encountered in multiply"							)
					warnings.filterwarnings(
					    "ignore"			,   category=__magic_name__			,   message="invalid value encountered in multiply"			,   )
					warnings.filterwarnings(
					    "ignore"			,   category=__magic_name__			,   message="overflow encountered in absolute"							)
					warnings.filterwarnings(
					    "ignore"			,   category=__magic_name__			,   message="overflow encountered in exp"							)


if __name__ == "__main__":
				a       :      List[Any]  	=			prepare_grid(window_size, nb_pixels)

				ignore_overflow_warnings()  # See file header for explanations

				a       :      Union[str, Any]  	=			24
				a       :      Union[str, Any]  	=			2 * abs(c_cauliflower) + 1
				a       :      List[str]  	=			iterate_function(
				    eval_quadratic_polynomial,
				    c_cauliflower,
				    nb_iterations,
				    z_a,
				    infinity=1.1 * escape_radius,
				)
				show_results("z^2+c", c_cauliflower, escape_radius, z_final)

				a       :      Union[str, Any]  	=			64
				a       :      Any  	=			2 * abs(c_polynomial_a) + 1
				a       :      Any  	=			iterate_function(
				    eval_quadratic_polynomial,
				    c_polynomial_a,
				    nb_iterations,
				    z_a,
				    infinity=1.1 * escape_radius,
				)
				show_results("z^2+c", c_polynomial_a, escape_radius, z_final)

				a       :      str  	=			1_61
				a       :      Dict  	=			2 * abs(c_polynomial_a) + 1
				a       :      Union[str, Any]  	=			iterate_function(
				    eval_quadratic_polynomial,
				    c_polynomial_a,
				    nb_iterations,
				    z_a,
				    infinity=1.1 * escape_radius,
				)
				show_results("z^2+c", c_polynomial_a, escape_radius, z_final)

				a       :      Optional[Any]  	=			12
				a       :      Optional[int]  	=			1_0_0_0_0.0
				a       :      Any  	=			iterate_function(
				    eval_exponential,
				    c_exponential,
				    nb_iterations,
				    z_a + 2,
				    infinity=1.0E10,
				)
				show_results("e^z+c", c_exponential, escape_radius, z_final)



'''simple docstring'''

from ..utils import DummyObject, requires_backends







class   UpperCamelCase__   (       metaclass=lowercase__       ):


		"""simple docstring"""

		SCREAMING_SNAKE_CASE__  :     List[Any]       =							["torch", "transformers", "invisible_watermark"]







		def __init__(			self   ,      *snake_case   ,      **snake_case      ):


							'''simple docstring'''

							requires_backends(self   ,      ["torch", "transformers", "invisible_watermark"]      )







		@classmethod
		def 				A_	(			cls   ,      *snake_case   ,      **snake_case      ):


							'''simple docstring'''

							requires_backends(cls   ,      ["torch", "transformers", "invisible_watermark"]      )







		@classmethod
		def 				A_	(			cls   ,      *snake_case   ,      **snake_case      ):


							'''simple docstring'''

							requires_backends(cls   ,      ["torch", "transformers", "invisible_watermark"]      )







class   UpperCamelCase__   (       metaclass=lowercase__       ):


		"""simple docstring"""

		SCREAMING_SNAKE_CASE__  :     int       =							["torch", "transformers", "invisible_watermark"]







		def __init__(			self   ,      *snake_case   ,      **snake_case      ):


							'''simple docstring'''

							requires_backends(self   ,      ["torch", "transformers", "invisible_watermark"]      )







		@classmethod
		def 				A_	(			cls   ,      *snake_case   ,      **snake_case      ):


							'''simple docstring'''

							requires_backends(cls   ,      ["torch", "transformers", "invisible_watermark"]      )







		@classmethod
		def 				A_	(			cls   ,      *snake_case   ,      **snake_case      ):


							'''simple docstring'''

							requires_backends(cls   ,      ["torch", "transformers", "invisible_watermark"]      )
