
"""simple docstring"""

from typing import Dict, Optional, Tuple

import torch
def 		UpperCAmelCase					(		a_			):





		'''simple docstring'''


		lowerCamelCase     :			Dict		=    boundaries[1] - boundaries[0]
		lowerCamelCase     :			int		=    boundaries + step / 2
		lowerCamelCase     :			str		=    torch.cat([bin_centers, (bin_centers[-1] + step).unsqueeze(-1			)],						dim=0			)
		return bin_centers
def 		UpperCAmelCase					(		a_,						a_,						):





		'''simple docstring'''


		lowerCamelCase     :			Any		=    _calculate_bin_centers(a_			)
		return (
		    torch.sum(aligned_distance_error_probs * bin_centers,						dim=-1			),
		    bin_centers[-1],
		)
def 		UpperCAmelCase					(		a_,						a_ = 31,						a_ = 64,						**a_,						):





		'''simple docstring'''


		lowerCamelCase     :			Tuple		=    torch.linspace(0,						a_,						steps=(no_bins - 1),						device=logits.device			)

		lowerCamelCase     :			Any		=    torch.nn.functional.softmax(a_,						dim=-1			)
		lowerCamelCase	,    lowerCamelCase     :			Optional[int]		=    _calculate_expected_aligned_error(
		    alignment_confidence_breaks=a_,						aligned_distance_error_probs=a_,						)

		return {
		    "aligned_confidence_probs": aligned_confidence_probs,
		    "predicted_aligned_error": predicted_aligned_error,
		    "max_predicted_aligned_error": max_predicted_aligned_error,
		}





def 		UpperCAmelCase					(		a_,						a_ = None,						a_ = 31,						a_ = 64,						a_ = 1E-8,						**a_,						):





		'''simple docstring'''


		if residue_weights is None:
				lowerCamelCase     :			Dict		=    logits.new_ones(logits.shape[-2]			)

		lowerCamelCase     :			str		=    torch.linspace(0,						a_,						steps=(no_bins - 1),						device=logits.device			)

		lowerCamelCase     :			Optional[Any]		=    _calculate_bin_centers(a_			)
		torch.sum(a_			)
		lowerCamelCase     :			List[str]		=    logits.shape[-2]
		lowerCamelCase     :			Optional[Any]		=    max(a_,						19			)

		lowerCamelCase     :			Optional[Any]		=    1.2_4 * (clipped_n - 15) ** (1.0 / 3) - 1.8

		lowerCamelCase     :			Tuple		=    torch.nn.functional.softmax(a_,						dim=-1			)

		lowerCamelCase     :			Any		=    1.0 / (1 + (bin_centers**2) / (da**2))
		lowerCamelCase     :			List[Any]		=    torch.sum(probs * tm_per_bin,						dim=-1			)

		lowerCamelCase     :			int		=    residue_weights / (eps + residue_weights.sum())
		lowerCamelCase     :			Optional[int]		=    torch.sum(predicted_tm_term * normed_residue_mask,						dim=-1			)

		lowerCamelCase     :			Any		=    per_alignment * residue_weights

		lowerCamelCase     :			str		=    (weighted == torch.max(a_			)).nonzero()[0]
		return per_alignment[tuple(a_			)]








"""simple docstring"""

import numpy as np
def 		UpperCAmelCase					(		a_,						a_="utf-8",						a_="surrogatepass"			):





		'''simple docstring'''


		lowerCamelCase     :			str		=    bin(int.from_bytes(text.encode(a_,						a_			),						'big'			)			)[2:]
		return bits.zfill(8 * ((len(a_			) + 7) // 8)			)
def 		UpperCAmelCase					(		a_,						a_="utf-8",						a_="surrogatepass"			):





		'''simple docstring'''


		lowerCamelCase     :			List[Any]		=    int(a_,						2			)
		return n.to_bytes((n.bit_length() + 7) // 8,						'big'			).decode(a_,						a_			) or "\0"
def 		UpperCAmelCase					(		a_,						a_			):





		'''simple docstring'''


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

		lowerCamelCase     :			List[str]		=    []
		lowerCamelCase     :			str		=    []
		lowerCamelCase     :			Any		=    [bin(a_			)[2:] for x in range(1,						size_par + len(a_			) + 1			)]

		# sorted information data for the size of the output data
		lowerCamelCase     :			int		=    []
		# data position template + parity
		lowerCamelCase     :			Union[str, Any]		=    []
		# parity bit counter
		lowerCamelCase     :			Optional[int]		=    0
		# counter position of data bits
		lowerCamelCase     :			Any		=    0

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

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

				qtd_bp += 1

		# Mount the message
		lowerCamelCase     :			Tuple		=    0  # parity bit counter
		for x in range(0,						size_par + len(a_			)			):
				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 		UpperCAmelCase					(		a_,						a_			):





		'''simple docstring'''


		lowerCamelCase     :			str		=    []
		# Parity bit counter
		lowerCamelCase     :			Dict		=    0
		# Counter p data bit reading
		lowerCamelCase     :			int		=    0
		# list of parity received
		lowerCamelCase     :			Optional[int]		=    []
		lowerCamelCase     :			Any		=    []

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

		#  sorted information data for the size of the output data
		lowerCamelCase     :			Any		=    []
		# Data position feedback + parity
		lowerCamelCase     :			List[str]		=    []
		# Parity bit counter
		lowerCamelCase     :			List[str]		=    0
		# Counter p data bit reading
		lowerCamelCase     :			int		=    0

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

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

		lowerCamelCase     :			Union[str, Any]		=    parity_received == parity
		return data_output, ack






