


"""simple docstring"""






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

import numpy
from matplotlib import pyplot

lowercase  		=			0.2_5 + 0.0J
lowercase  		=			-0.4 + 0.6J
lowercase  		=			-0.1 + 0.651J
lowercase  		=			-2.0
lowercase  		=			56
lowercase  		=			2.0
lowercase  		=			666



def 			A__		(					_UpperCAmelCase    :      complex				,    _UpperCAmelCase    :      numpy.ndarray	)							->	numpy.ndarray:

	'''simple docstring'''


	return numpy.exp(_UpperCAmelCase	) + c_parameter



def 			A__		(					_UpperCAmelCase    :      complex				,    _UpperCAmelCase    :      numpy.ndarray	)							->	numpy.ndarray:

	'''simple docstring'''


	return z_values * z_values + c_parameter



def 			A__		(					_UpperCAmelCase    :      float				,    _UpperCAmelCase    :      int	)							->	numpy.ndarray:

	'''simple docstring'''


	snake_case__  :						Tuple		=      numpy.linspace(-window_size				,    _UpperCAmelCase				,    _UpperCAmelCase	)
	snake_case__  :						int		=      x.reshape((nb_pixels, 1)	)
	snake_case__  :						Union[str, Any]		=      numpy.linspace(-window_size				,    _UpperCAmelCase				,    _UpperCAmelCase	)
	snake_case__  :						Optional[int]		=      y.reshape((1, nb_pixels)	)
	return x + 1.0J * y



def 			A__		(					_UpperCAmelCase    :      Callable[[Any, numpy.ndarray], numpy.ndarray]				,    _UpperCAmelCase    :      Any				,    _UpperCAmelCase    :      int				,    _UpperCAmelCase    :      numpy.ndarray				,    _UpperCAmelCase    :      float | None = None				,    )							->	numpy.ndarray:

	'''simple docstring'''


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



def 			A__		(					_UpperCAmelCase    :      str				,    _UpperCAmelCase    :      Any				,    _UpperCAmelCase    :      float				,    _UpperCAmelCase    :      numpy.ndarray				,    )							->	None:

	'''simple docstring'''


	snake_case__  :						int		=      (abs(_UpperCAmelCase	)).transpose()
	snake_case__  :						Tuple		=      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 			A__		(					)							->	None:

	'''simple docstring'''


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


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

					ignore_overflow_warnings()  # See file header for explanations

					lowercase  		=			24
					lowercase  		=			2 * abs(c_cauliflower) + 1
					lowercase  		=			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)

					lowercase  		=			64
					lowercase  		=			2 * abs(c_polynomial_a) + 1
					lowercase  		=			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)

					lowercase  		=			161
					lowercase  		=			2 * abs(c_polynomial_a) + 1
					lowercase  		=			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)

					lowercase  		=			12
					lowercase  		=			1_0_0_0_0.0
					lowercase  		=			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'''







import numpy as np






def 						_lowercase						(      lowercase_		,				lowercase_="utf-8"		,				lowercase_="surrogatepass"    ):



		'''simple docstring'''







		_snake_case      			=			bin(int.from_bytes(text.encode(lowercase_		,				lowercase_    )		,				"big"    )    )[2:]
		return bits.zfill(8 * ((len(lowercase_    ) + 7) // 8)    )






def 						_lowercase						(      lowercase_		,				lowercase_="utf-8"		,				lowercase_="surrogatepass"    ):



		'''simple docstring'''







		_snake_case      			=			int(lowercase_		,				2    )
		return n.to_bytes((n.bit_length() + 7) // 8		,				"big"    ).decode(lowercase_		,				lowercase_    ) or "\0"






def 						_lowercase						(      lowercase_		,				lowercase_    ):



		'''simple docstring'''







		if size_par + len(lowercase_    ) <= 2**size_par - (len(lowercase_    ) - 1):
				raise ValueError("size of parity don't match with size of data"    )

		_snake_case      			=			[]
		_snake_case      			=			[]
		_snake_case      			=			[bin(lowercase_    )[2:] for x in range(1		,				size_par + len(lowercase_    ) + 1    )]

		# sorted information data for the size of the output data
		_snake_case      			=			[]
		# data position template + parity
		_snake_case      			=			[]
		# parity bit counter
		_snake_case      			=			0
		# counter position of data bits
		_snake_case      			=			0

		for x in range(1		,				size_par + len(lowercase_    ) + 1    ):
				# Performs a template of bit positions - who should be given,
				# and who should be parity
				if qtd_bp < size_par:
						if (np.log(lowercase_    ) / np.log(2    )).is_integer():
								data_out_gab.append("P"    )
								_snake_case      			=			qtd_bp + 1
						else:
								data_out_gab.append("D"    )
				else:
						data_out_gab.append("D"    )

				# Sorts the data to the new output size
				if data_out_gab[-1] == "D":
						data_ord.append(data[cont_data]    )
						cont_data += 1
				else:
						data_ord.append(lowercase_    )

    # Calculates parity
		_snake_case      			=			0  # parity bit counter
		for bp in range(1		,				size_par + 1    ):
				# Bit counter one for a given parity
				_snake_case      			=			0
				# counter to control the loop reading
				_snake_case      			=			0
				for x in data_ord:
						if x is not None:
								try:
										_snake_case      			=			(bin_pos[cont_loop])[-1 * (bp)]
								except IndexError:
										_snake_case      			=			"0"
								if aux == "1" and x == "1":
										cont_bo += 1
						cont_loop += 1
				parity.append(cont_bo % 2    )

				qtd_bp += 1

		# Mount the message
		_snake_case      			=			0  # parity bit counter
		for x in range(0		,				size_par + len(lowercase_    )    ):
				if data_ord[x] is None:
						data_out.append(str(parity[cont_bp]    )    )
						cont_bp += 1
				else:
						data_out.append(data_ord[x]    )

		return data_out






def 						_lowercase						(      lowercase_		,				lowercase_    ):



		'''simple docstring'''







		_snake_case      			=			[]
		# Parity bit counter
		_snake_case      			=			0
		# Counter p data bit reading
		_snake_case      			=			0
		# list of parity received
		_snake_case      			=			[]
		_snake_case      			=			[]

		for x in range(1		,				len(lowercase_    ) + 1    ):
				# Performs a template of bit positions - who should be given,
				#  and who should be parity
				if qtd_bp < size_par and (np.log(lowercase_    ) / np.log(2    )).is_integer():
						data_out_gab.append("P"    )
						_snake_case      			=			qtd_bp + 1
				else:
						data_out_gab.append("D"    )

				# Sorts the data to the new output size
				if data_out_gab[-1] == "D":
						data_output.append(data[cont_data]    )
				else:
						parity_received.append(data[cont_data]    )
				cont_data += 1

		# -----------calculates the parity with the data
		_snake_case      			=			[]
		_snake_case      			=			[]
		_snake_case      			=			[bin(lowercase_    )[2:] for x in range(1		,				size_par + len(lowercase_    ) + 1    )]

		#  sorted information data for the size of the output data
		_snake_case      			=			[]
		# Data position feedback + parity
		_snake_case      			=			[]
		# Parity bit counter
		_snake_case      			=			0
		# Counter p data bit reading
		_snake_case      			=			0

		for x in range(1		,				size_par + len(lowercase_    ) + 1    ):
				# Performs a template position of bits - who should be given,
				# and who should be parity
				if qtd_bp < size_par and (np.log(lowercase_    ) / np.log(2    )).is_integer():
						data_out_gab.append("P"    )
						_snake_case      			=			qtd_bp + 1
				else:
						data_out_gab.append("D"    )

				# Sorts the data to the new output size
				if data_out_gab[-1] == "D":
						data_ord.append(data_output[cont_data]    )
						cont_data += 1
				else:
						data_ord.append(lowercase_    )

    # Calculates parity
		_snake_case      			=			0  # parity bit counter
		for bp in range(1		,				size_par + 1    ):
				# Bit counter one for a certain parity
				_snake_case      			=			0
				# Counter to control loop reading
				_snake_case      			=			0
				for x in data_ord:
						if x is not None:
								try:
										_snake_case      			=			(bin_pos[cont_loop])[-1 * (bp)]
								except IndexError:
										_snake_case      			=			"0"
								if aux == "1" and x == "1":
										cont_bo += 1
						cont_loop += 1
				parity.append(str(cont_bo % 2    )    )

				qtd_bp += 1

		# Mount the message
		_snake_case      			=			0  # Parity bit counter
		for x in range(0		,				size_par + len(lowercase_    )    ):
				if data_ord[x] is None:
						data_out.append(str(parity[cont_bp]    )    )
						cont_bp += 1
				else:
						data_out.append(data_ord[x]    )

		_snake_case      			=			parity_received == parity
		return data_output, ack





