




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

import numpy
from matplotlib import pyplot

__lowerCAmelCase		:    Optional[int]	      =		0.2_5 + 0.0j
__lowerCAmelCase		:    Union[str, Any]	      =		-0.4 + 0.6j
__lowerCAmelCase		:    Tuple	      =		-0.1 + 0.651j
__lowerCAmelCase		:    Optional[int]	      =		-2.0
__lowerCAmelCase		:    int	      =		56
__lowerCAmelCase		:    Optional[int]	      =		2.0
__lowerCAmelCase		:    Optional[int]	      =		666




def       __magic_name__    (			A		: complex,  A		: numpy.ndarray       ):






			'''simple docstring'''







			return numpy.exp(A       ) + c_parameter




def       __magic_name__    (			A		: complex,  A		: numpy.ndarray       ):






			'''simple docstring'''







			return z_values * z_values + c_parameter




def       __magic_name__    (			A		: float,  A		: int       ):






			'''simple docstring'''







			a   =      numpy.linspace(-window_size,  A,  A       )
			a   =      x.reshape((nb_pixels, 1)       )
			a   =      numpy.linspace(-window_size,  A,  A       )
			a   =      y.reshape((1, nb_pixels)       )
			return x + 1.0j * y




def       __magic_name__    (			A		: Callable[[Any, numpy.ndarray], numpy.ndarray],  A		: Any,  A		: int,  A		: numpy.ndarray,  A		: float | None = None,  ):






			'''simple docstring'''







			a   =      z_a.astype("complex64"       )
			for _ in range(A       ):
						a   =      eval_function(A,  A       )
						if infinity is not None:
									numpy.nan_to_num(A,  copy=A,  nan=A       )
									a   =      infinity
			return z_n




def       __magic_name__    (			A		: str,  A		: Any,  A		: float,  A		: numpy.ndarray,  ):






			'''simple docstring'''







			a   =      (abs(A       )).transpose()
			a   =      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       __magic_name__    (			):






			'''simple docstring'''







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


if __name__ == "__main__":
		__lowerCAmelCase		:    Any	      =		prepare_grid(window_size, nb_pixels)

		ignore_overflow_warnings()  # See file header for explanations

		__lowerCAmelCase		:    Tuple	      =		24
		__lowerCAmelCase		:    List[Any]	      =		2 * abs(c_cauliflower) + 1
		__lowerCAmelCase		:    Any	      =		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)

		__lowerCAmelCase		:    List[str]	      =		64
		__lowerCAmelCase		:    int	      =		2 * abs(c_polynomial_a) + 1
		__lowerCAmelCase		:    str	      =		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)

		__lowerCAmelCase		:    List[Any]	      =		161
		__lowerCAmelCase		:    int	      =		2 * abs(c_polynomial_a) + 1
		__lowerCAmelCase		:    str	      =		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)

		__lowerCAmelCase		:    List[str]	      =		12
		__lowerCAmelCase		:    List[str]	      =		1_0_0_0_0.0
		__lowerCAmelCase		:    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)












from ..utils import DummyObject, requires_backends




class    snake_case__							(metaclass=_UpperCamelCase       ):
				"""simple docstring"""



				SCREAMING_SNAKE_CASE_	:							List[str]										= ["""torch""", """transformers""", """k_diffusion"""]





				def __init__(				self    :					Optional[int] ,				*__lowerCamelCase    :					Union[str, Any] ,				**__lowerCamelCase    :					List[Any]							) ->					Optional[Any]:
							requires_backends(self ,				["torch", "transformers", "k_diffusion"]							)





				@classmethod
				def 							__UpperCAmelCase							(				cls    :					str ,				*__lowerCamelCase    :					Union[str, Any] ,				**__lowerCamelCase    :					Tuple							) ->					List[Any]:
							requires_backends(cls ,				["torch", "transformers", "k_diffusion"]							)





				@classmethod
				def 							__UpperCAmelCase							(				cls    :					Optional[Any] ,				*__lowerCamelCase    :					List[str] ,				**__lowerCamelCase    :					int							) ->					Dict:
							requires_backends(cls ,				["torch", "transformers", "k_diffusion"]							)






