




'''simple docstring'''






from __future__ import annotations

from random import random
from typing import Generic, TypeVar

A_			      =		TypeVar("KT")
A_			      =		TypeVar("VT")






class        lowercase_      (						Generic[KT, VT]							):





     def __init__(     self     :					Dict     ,							__lowerCamelCase     :					KT | str = "root"     ,							__lowerCamelCase     :					VT | None = None			):
           snake_case__       :   Dict	      =    key
           snake_case__       :   Union[str, Any]	      =    value
           snake_case__       :   list[Node[KT, VT]]	      =    []





     def __repr__(     self     :					int			):
           return F"Node({self.key}: {self.value})"





     @property
     def 			_lowerCAmelCase      (     self     :					List[Any]			):
           return len(self.forward			)






class        lowercase_      (						Generic[KT, VT]							):





     def __init__(     self     :					Dict     ,							__lowerCamelCase     :					float = 0.5     ,							__lowerCamelCase     :					int = 16			):
           snake_case__       :   Node[KT, VT]	      =    Node[KT, VT]()
           snake_case__       :   int	      =    0
           snake_case__       :   Union[str, Any]	      =    p
           snake_case__       :   Optional[Any]	      =    max_level





     def __str__(     self     :					int			):
           snake_case__       :   int	      =    list(self			)

           if len(__lowerCamelCase			) == 0:
                 return F"SkipList(level={self.level})"

           snake_case__       :   int	      =    max((len(str(__lowerCamelCase			)			) for item in items)     ,							default=4			)
           snake_case__       :   List[str]	      =    max(__lowerCamelCase     ,							4			) + 4

           snake_case__       :   Optional[int]	      =    self.head
           snake_case__       :   List[Any]	      =    []

           snake_case__       :   Optional[int]	      =    node.forward.copy()
           lines.append(F"[{node.key}]".ljust(__lowerCamelCase     ,							'-'			) + '* ' * len(__lowerCamelCase			)			)
           lines.append(' ' * label_size + '| ' * len(__lowerCamelCase			)			)

           while len(node.forward			) != 0:
                 snake_case__       :   Optional[Any]	      =    node.forward[0]

                 lines.append(
                     F"[{node.key}]".ljust(__lowerCamelCase     ,							'-'			)
                     + ' '.join(str(n.key			) if n.key == node.key else '|' for n in forwards			)			)
                 lines.append(' ' * label_size + '| ' * len(__lowerCamelCase			)			)
                 snake_case__       :   Dict	      =    node.forward

           lines.append('None'.ljust(__lowerCamelCase			) + '* ' * len(__lowerCamelCase			)			)
           return F"SkipList(level={self.level})\n" + "\n".join(__lowerCamelCase			)





     def __iter__(     self     :					Any			):
           snake_case__       :   str	      =    self.head

           while len(node.forward			) != 0:
                 yield node.forward[0].key
                 snake_case__       :   Tuple	      =    node.forward[0]





     def 			_lowerCAmelCase      (     self     :					Union[str, Any]			):
           snake_case__       :   List[Any]	      =    1
           while random() < self.p and level < self.max_level:
                 level += 1

           return level





     def 			_lowerCAmelCase      (     self     :					Optional[Any]     ,							__lowerCamelCase     :					List[str]			):
           snake_case__       :   str	      =    []

           snake_case__       :   int	      =    self.head

           for i in reversed(range(self.level			)			):
                 # i < node.level - When node level is lesser than `i` decrement `i`.
                 # node.forward[i].key < key - Jumping to node with key value higher
                 #                             or equal to searched key would result
                 #                             in skipping searched key.
                 while i < node.level and node.forward[i].key < key:
                       snake_case__       :   Dict	      =    node.forward[i]
                 # Each leftmost node (relative to searched node) will potentially have to
                 # be updated.
                 update_vector.append(__lowerCamelCase			)

           update_vector.reverse()  # Note that we were inserting values in reverse order.

           # len(node.forward) != 0 - If current node doesn't contain any further
           #                          references then searched key is not present.
           # node.forward[0].key == key - Next node key should be equal to search key
           #                              if key is present.
           if len(node.forward			) != 0 and node.forward[0].key == key:
                 return node.forward[0], update_vector
           else:
                 return None, update_vector





     def 			_lowerCAmelCase      (     self     :					List[str]     ,							__lowerCamelCase     :					KT			):
           snake_case__      ,							snake_case__       :   List[Any]	      =    self._locate_node(__lowerCamelCase			)

           if node is not None:
                 for i, update_node in enumerate(__lowerCamelCase			):
                       # Remove or replace all references to removed node.
                       if update_node.level > i and update_node.forward[i].key == key:
                             if node.level > i:
                                   snake_case__       :   Any	      =    node.forward[i]
                             else:
                                   snake_case__       :   Optional[Any]	      =    update_node.forward[:i]





     def 			_lowerCAmelCase      (     self     :					int     ,							__lowerCamelCase     :					KT     ,							__lowerCamelCase     :					VT			):
           snake_case__      ,							snake_case__       :   List[str]	      =    self._locate_node(__lowerCamelCase			)
           if node is not None:
                 snake_case__       :   Any	      =    value
           else:
                 snake_case__       :   List[Any]	      =    self.random_level()

                 if level > self.level:
                       # After level increase we have to add additional nodes to head.
                       for _ in range(self.level - 1     ,							__lowerCamelCase			):
                             update_vector.append(self.head			)
                       snake_case__       :   int	      =    level

                 snake_case__       :   Any	      =    Node(__lowerCamelCase     ,							__lowerCamelCase			)

                 for i, update_node in enumerate(update_vector[:level]			):
                       # Change references to pass through new node.
                       if update_node.level > i:
                             new_node.forward.append(update_node.forward[i]			)

                       if update_node.level < i + 1:
                             update_node.forward.append(__lowerCamelCase			)
                       else:
                             snake_case__       :   int	      =    new_node





     def 			_lowerCAmelCase      (     self     :					Optional[Any]     ,							__lowerCamelCase     :					VT			):
           snake_case__      ,							snake_case__       :   Dict	      =    self._locate_node(__lowerCamelCase			)

           if node is not None:
                 return node.value

           return None






def 		UpperCamelCase__      (		)    ->   Tuple:
      snake_case__       :   Any	      =    SkipList()
      skip_list.insert('Key1'				,      3		)
      skip_list.insert('Key2'				,      12		)
      skip_list.insert('Key3'				,      41		)
      skip_list.insert('Key4'				,      -19		)

      snake_case__       :   Any	      =    skip_list.head
      snake_case__       :   Optional[Any]	      =    {}
      while node.level != 0:
            snake_case__       :   str	      =    node.forward[0]
            snake_case__       :   Optional[Any]	      =    node.value

      assert len(__SCREAMING_SNAKE_CASE		) == 4
      assert all_values["Key1"] == 3
      assert all_values["Key2"] == 12
      assert all_values["Key3"] == 41
      assert all_values["Key4"] == -19






def 		UpperCamelCase__      (		)    ->   str:
      snake_case__       :   Optional[int]	      =    SkipList()
      skip_list.insert('Key1'				,      10		)
      skip_list.insert('Key1'				,      12		)

      skip_list.insert('Key5'				,      7		)
      skip_list.insert('Key7'				,      10		)
      skip_list.insert('Key10'				,      5		)

      skip_list.insert('Key7'				,      7		)
      skip_list.insert('Key5'				,      5		)
      skip_list.insert('Key10'				,      10		)

      snake_case__       :   Dict	      =    skip_list.head
      snake_case__       :   Union[str, Any]	      =    {}
      while node.level != 0:
            snake_case__       :   Optional[int]	      =    node.forward[0]
            snake_case__       :   Tuple	      =    node.value

      if len(__SCREAMING_SNAKE_CASE		) != 4:
            print()
      assert len(__SCREAMING_SNAKE_CASE		) == 4
      assert all_values["Key1"] == 12
      assert all_values["Key7"] == 7
      assert all_values["Key5"] == 5
      assert all_values["Key10"] == 10






def 		UpperCamelCase__      (		)    ->   List[str]:
      snake_case__       :   str	      =    SkipList()
      assert skip_list.find('Some key'		) is None






def 		UpperCamelCase__      (		)    ->   Union[str, Any]:
      snake_case__       :   List[Any]	      =    SkipList()

      skip_list.insert('Key2'				,      20		)
      assert skip_list.find('Key2'		) == 20

      skip_list.insert('Some Key'				,      10		)
      skip_list.insert('Key2'				,      8		)
      skip_list.insert('V'				,      13		)

      assert skip_list.find('Y'		) is None
      assert skip_list.find('Key2'		) == 8
      assert skip_list.find('Some Key'		) == 10
      assert skip_list.find('V'		) == 13






def 		UpperCamelCase__      (		)    ->   Optional[int]:
      snake_case__       :   int	      =    SkipList()
      skip_list.delete('Some key'		)

      assert len(skip_list.head.forward		) == 0






def 		UpperCamelCase__      (		)    ->   Any:
      snake_case__       :   List[Any]	      =    SkipList()

      skip_list.insert('Key1'				,      12		)
      skip_list.insert('V'				,      13		)
      skip_list.insert('X'				,      14		)
      skip_list.insert('Key2'				,      15		)

      skip_list.delete('V'		)
      skip_list.delete('Key2'		)

      assert skip_list.find('V'		) is None
      assert skip_list.find('Key2'		) is None






def 		UpperCamelCase__      (		)    ->   Any:
      snake_case__       :   str	      =    SkipList()

      skip_list.insert('Key1'				,      12		)
      skip_list.insert('V'				,      13		)
      skip_list.insert('X'				,      14		)
      skip_list.insert('Key2'				,      15		)

      skip_list.delete('V'		)
      assert skip_list.find('V'		) is None
      assert skip_list.find('X'		) == 14
      assert skip_list.find('Key1'		) == 12
      assert skip_list.find('Key2'		) == 15

      skip_list.delete('X'		)
      assert skip_list.find('V'		) is None
      assert skip_list.find('X'		) is None
      assert skip_list.find('Key1'		) == 12
      assert skip_list.find('Key2'		) == 15

      skip_list.delete('Key1'		)
      assert skip_list.find('V'		) is None
      assert skip_list.find('X'		) is None
      assert skip_list.find('Key1'		) is None
      assert skip_list.find('Key2'		) == 15

      skip_list.delete('Key2'		)
      assert skip_list.find('V'		) is None
      assert skip_list.find('X'		) is None
      assert skip_list.find('Key1'		) is None
      assert skip_list.find('Key2'		) is None






def 		UpperCamelCase__      (		)    ->   Optional[int]:
      snake_case__       :   List[Any]	      =    SkipList()

      skip_list.insert('Key1'				,      12		)
      skip_list.insert('V'				,      13		)
      skip_list.insert('X'				,      142		)
      skip_list.insert('Key2'				,      15		)

      skip_list.delete('X'		)

      def traverse_keys(__SCREAMING_SNAKE_CASE		):
            yield node.key
            for forward_node in node.forward:
                  yield from traverse_keys(__SCREAMING_SNAKE_CASE		)

      assert len(set(traverse_keys(skip_list.head		)		)		) == 4






def 		UpperCamelCase__      (		)    ->   Dict:
      def is_sorted(__SCREAMING_SNAKE_CASE		):
            return all(next_item >= item for item, next_item in zip(__SCREAMING_SNAKE_CASE				,      lst[1:]		)		)

      snake_case__       :   Optional[int]	      =    SkipList()
      for i in range(10		):
            skip_list.insert(__SCREAMING_SNAKE_CASE				,      __SCREAMING_SNAKE_CASE		)
      assert is_sorted(list(__SCREAMING_SNAKE_CASE		)		)
      skip_list.delete(5		)
      skip_list.delete(8		)
      skip_list.delete(2		)
      assert is_sorted(list(__SCREAMING_SNAKE_CASE		)		)
      skip_list.insert(-12				,      -12		)
      skip_list.insert(77				,      77		)
      assert is_sorted(list(__SCREAMING_SNAKE_CASE		)		)






def 		UpperCamelCase__      (		)    ->   Optional[Any]:
      for _ in range(100		):
            # Repeat test 100 times due to the probabilistic nature of skip list
            # random values == random bugs
            test_insert()
            test_insert_overrides_existing_value()

            test_searching_empty_list_returns_none()
            test_search()

            test_deleting_item_from_empty_list_do_nothing()
            test_deleted_items_are_not_founded_by_find_method()
            test_delete_removes_only_given_key()
            test_delete_doesnt_leave_dead_nodes()

            test_iter_always_yields_sorted_values()






def 		UpperCamelCase__      (		)    ->   str:
      snake_case__       :   int	      =    SkipList()
      skip_list.insert(2				,      '2'		)
      skip_list.insert(4				,      '4'		)
      skip_list.insert(6				,      '4'		)
      skip_list.insert(4				,      '5'		)
      skip_list.insert(8				,      '4'		)
      skip_list.insert(9				,      '4'		)

      skip_list.delete(4		)

      print(__SCREAMING_SNAKE_CASE		)


if __name__ == "__main__":
      import doctest

      doctest.testmod()
      main()






'''simple docstring'''






import logging
import os
from typing import List, Tuple

import numpy as np
import psutil
import torch
import torch.distributed as dist

from transformers import RagRetriever


A_			      =		logging.getLogger(__name__)






class        lowercase_      (						lowerCAmelCase_							):





     def __init__(     self     :					List[Any]     ,							__lowerCamelCase     :					Tuple     ,							__lowerCamelCase     :					str     ,							__lowerCamelCase     :					Tuple     ,							__lowerCamelCase     :					int=None			):
           super().__init__(
               __lowerCamelCase     ,							question_encoder_tokenizer=__lowerCamelCase     ,							generator_tokenizer=__lowerCamelCase     ,							index=__lowerCamelCase     ,							init_retrieval=__lowerCamelCase     ,							)
           snake_case__       :   Optional[int]	      =    None





     def 			_lowerCAmelCase      (     self     :					List[str]     ,							__lowerCamelCase     :					int			):
           logger.info('initializing retrieval'			)

           # initializing a separate process group for retrieval as the default
           # nccl backend doesn't support gather/scatter operations while gloo
           # is too slow to replace nccl for the core gpu communication
           if dist.is_initialized():
                 logger.info('dist initialized'			)
                 # needs to be set manually
                 snake_case__       :   Any	      =    self._infer_socket_ifname()
                 # avoid clash with the NCCL port
                 snake_case__       :   int	      =    str(distributed_port + 1			)
                 snake_case__       :   Any	      =    dist.new_group(ranks=__lowerCamelCase     ,							backend='gloo'			)

           # initialize retriever only on the main worker
           if not dist.is_initialized() or self._is_main():
                 logger.info('dist not initialized / main'			)
                 self.index.init_index()

           # all processes wait untill the retriever is initialized by the main process
           if dist.is_initialized():
                 torch.distributed.barrier(group=self.process_group			)





     def 			_lowerCAmelCase      (     self     :					List[Any]			):
           return dist.get_rank(group=self.process_group			) == 0





     def 			_lowerCAmelCase      (     self     :					Any     ,							__lowerCamelCase     :					Dict     ,							__lowerCamelCase     :					str     ,							__lowerCamelCase     :					Union[str, Any]=torch.floataa			):
           snake_case__       :   Optional[int]	      =    torch.empty(__lowerCamelCase     ,							dtype=__lowerCamelCase			)
           dist.scatter(__lowerCamelCase     ,							src=0     ,							scatter_list=__lowerCamelCase     ,							group=self.process_group			)
           return target_tensor





     def 			_lowerCAmelCase      (     self     :					Dict			):
           snake_case__       :   Union[str, Any]	      =    psutil.net_if_addrs()
           # a hacky way to deal with varying network interface names
           snake_case__       :   Any	      =    next((addr for addr in addrs if addr.startswith('e'			))     ,							__lowerCamelCase			)
           return ifname





     def 			_lowerCAmelCase      (     self     :					Tuple     ,							__lowerCamelCase     :					np.ndarray     ,							__lowerCamelCase     :					int			):

           # single GPU training
           if not dist.is_initialized():
                 snake_case__      ,							snake_case__       :   Optional[int]	      =    self._main_retrieve(__lowerCamelCase     ,							__lowerCamelCase			)
                 return retrieved_doc_embeds, doc_ids, self.index.get_doc_dicts(__lowerCamelCase			)

           # distributed training
           snake_case__       :   Optional[Any]	      =    dist.get_world_size(group=self.process_group			)

           # gather logic
           snake_case__       :   Optional[int]	      =    None
           if self._is_main():
                 snake_case__       :   Optional[int]	      =    [torch.empty(question_hidden_states.shape     ,							dtype=torch.floataa			) for _ in range(__lowerCamelCase			)]
           dist.gather(torch.tensor(__lowerCamelCase			)     ,							dst=0     ,							gather_list=__lowerCamelCase     ,							group=self.process_group			)

           # scatter logic
           snake_case__       :   Union[str, Any]	      =    question_hidden_states.shape[0]
           snake_case__       :   Tuple	      =    []
           snake_case__       :   List[Any]	      =    []
           if self._is_main():
                 assert len(__lowerCamelCase			) == world_size
                 snake_case__      ,							snake_case__       :   Optional[int]	      =    self._main_retrieve(torch.cat(__lowerCamelCase			).numpy()     ,							__lowerCamelCase			)
                 snake_case__      ,							snake_case__       :   Optional[Any]	      =    torch.tensor(__lowerCamelCase			), torch.tensor(__lowerCamelCase			)
                 snake_case__       :   str	      =    self._chunk_tensor(__lowerCamelCase     ,							__lowerCamelCase			)
                 snake_case__       :   Dict	      =    self._chunk_tensor(__lowerCamelCase     ,							__lowerCamelCase			)
           snake_case__       :   Tuple	      =    self._scattered(__lowerCamelCase     ,							[n_queries, n_docs]     ,							target_type=torch.intaa			)
           snake_case__       :   Dict	      =    self._scattered(__lowerCamelCase     ,							[n_queries, n_docs, question_hidden_states.shape[1]]			)

           return retrieved_doc_embeds.numpy(), doc_ids.numpy(), self.index.get_doc_dicts(__lowerCamelCase			)
