






import torch

from accelerate import Accelerator, DistributedType







class 				lowerCamelCase_     :
							def __enter__(						self		:					Tuple					):





								'''simple docstring'''



								if self.enabled:
									a		=			self.model.no_sync()
									self.model_sync_obj.__enter__()

								return self
							def __exit__(						self		:					Dict							,__lowerCamelCase		:					Tuple							,__lowerCamelCase		:					List[str]							,__lowerCamelCase		:					List[Any]					):





								'''simple docstring'''



								if self.enabled:
									# Average all models on exit
									self._sync_and_avg_model_params()
									self.model_sync_obj.__exit__(lowerCamelCase__							,lowerCamelCase__							,lowerCamelCase__					)
							def __init__(						self		:					List[str]							,__lowerCamelCase		:					List[Any]							,__lowerCamelCase		:					Optional[int]							,__lowerCamelCase		:					int							,__lowerCamelCase		:					int = True					):





								'''simple docstring'''



								if accelerator.distributed_type not in [
								    DistributedType.NO,
								    DistributedType.MULTI_CPU,
								    DistributedType.MULTI_GPU,
								]:
									raise NotImplementedError('''LocalSGD is supported only for CPUs and GPUs (no DeepSpeed or MegatronLM)'''					)
								a		=			enabled and accelerator.distributed_type != DistributedType.NO
								a		=			0
								if self.enabled:
									a		=			accelerator
									a		=			model
									a		=			local_sgd_steps
							def  SCREAMING_SNAKE_CASE_ (						self		:					List[Any]					):





								'''simple docstring'''



								self.num_steps += 1
								if not self.enabled:
									return

								if self.num_steps % self.local_sgd_steps == 0:
									self._sync_and_avg_model_params()




							def  SCREAMING_SNAKE_CASE_ (						self		:					Optional[Any]					):





								'''simple docstring'''



								self.accelerator.wait_for_everyone()
								with self.accelerator.autocast():
									for param in self.model.parameters():
										a		=			self.accelerator.reduce(param.data							,reduction='''mean'''					)













import numpy as np





def   SCREAMING_SNAKE_CASE__						(   snake_case_,  snake_case_="utf-8",  snake_case_="surrogatepass"  )   ->  List[str]:


	"""simple docstring"""



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





def   SCREAMING_SNAKE_CASE__						(   snake_case_,  snake_case_="utf-8",  snake_case_="surrogatepass"  )   ->  int:


	"""simple docstring"""



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





def   SCREAMING_SNAKE_CASE__						(   snake_case_,  snake_case_  )   ->  List[Any]:


	"""simple docstring"""



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

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

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

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

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

		qtd_bp += 1

	# Mount the message
	a		=			0  # parity bit counter
	for x in range(0,  size_par + len(snake_case_  )  ):
		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   SCREAMING_SNAKE_CASE__						(   snake_case_,  snake_case_  )   ->  str:


	"""simple docstring"""



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

	for x in range(1,  len(snake_case_  ) + 1  ):
		# Performs a template of bit positions - who should be given,
		#  and who should be parity
		if qtd_bp < size_par and (np.log(snake_case_  ) / np.log(2  )).is_integer():
			data_out_gab.append('''P'''  )
			a		=			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
	a		=			[]
	a		=			[]
	a		=			[bin(snake_case_  )[2:] for x in range(1,  size_par + len(snake_case_  ) + 1  )]

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

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

    # Calculates parity
	a		=			0  # parity bit counter
	for bp in range(1,  size_par + 1  ):
		# Bit counter one for a certain parity
		a		=			0
		# Counter to control loop reading
		a		=			0
		for x in data_ord:
			if x is not None:
				try:
					a		=			(bin_pos[cont_loop])[-1 * (bp)]
				except IndexError:
					a		=			'''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
	a		=			0  # Parity bit counter
	for x in range(0,  size_par + len(snake_case_  )  ):
		if data_ord[x] is None:
			data_out.append(str(parity[cont_bp]  )  )
			cont_bp += 1
		else:
			data_out.append(data_ord[x]  )

	a		=			parity_received == parity
	return data_output, ack





