



"""simple docstring"""
def   A_    (     _lowercase      ):







						'''simple docstring'''


						if number != int(_lowercase      ):
												raise ValueError("""factorial() only accepts integral values"""      )
						if number < 0:
												raise ValueError("""factorial() not defined for negative values"""      )
						snake_case_					:Any		=     1
						for i in range(1,   number + 1      ):
												value *= i
						return value
def   A_    (     _lowercase      ):







						'''simple docstring'''


						if not isinstance(_lowercase,   _lowercase      ):
												raise ValueError("""factorial() only accepts integral values"""      )
						if n < 0:
												raise ValueError("""factorial() not defined for negative values"""      )
						return 1 if n == 0 or n == 1 else n * factorial(n - 1      )


if __name__ == "__main__":
						import doctest

						doctest.testmod()

						__a           =							int(input("Enter a positive integer: ").strip() or 0)
						print(F"""factorial{n} is {factorial(n)}""")








"""simple docstring"""



from typing import Any, Dict, List, Mapping

import numpy as np
import torch

from ...utils import is_cython_available, requires_backends


if is_cython_available():
						import pyximport

						pyximport.install(setup_args={"include_dirs": np.get_include()})
						from . import algos_graphormer  # noqa E402




def     lowerCamelCase_					(	__A	:		List[str]      ,						__A	:		int = 512      ):
					lowerCamelCase__					=x.shape[1] if len(x.shape      ) > 1 else 1
					lowerCamelCase__					=1 + np.arange(0      ,						feature_num * offset      ,						__A      ,						dtype=np.intaa      )
					lowerCamelCase__					=x + feature_offset
					return x




def     lowerCamelCase_					(	__A	:		str      ,						__A	:		Optional[Any]=True      ):
					requires_backends(__A      ,						['cython']      )

					if keep_features and "edge_attr" in item.keys():  # edge_attr
										lowerCamelCase__					=np.asarray(item['edge_attr']      ,						dtype=np.intaa      )
					else:
										lowerCamelCase__					=np.ones((len(item['edge_index'][0]      ), 1)      ,						dtype=np.intaa      )  # same embedding for all

					if keep_features and "node_feat" in item.keys():  # input_nodes
										lowerCamelCase__					=np.asarray(item['node_feat']      ,						dtype=np.intaa      )
					else:
										lowerCamelCase__					=np.ones((item['num_nodes'], 1)      ,						dtype=np.intaa      )  # same embedding for all

					lowerCamelCase__					=np.asarray(item['edge_index']      ,						dtype=np.intaa      )

					lowerCamelCase__					=convert_to_single_emb(__A      ) + 1
					lowerCamelCase__					=item['num_nodes']

					if len(edge_attr.shape      ) == 1:
										lowerCamelCase__					=edge_attr[:, None]
					lowerCamelCase__					=np.zeros([num_nodes, num_nodes, edge_attr.shape[-1]]      ,						dtype=np.intaa      )
					lowerCamelCase__					=convert_to_single_emb(__A      ) + 1

					# node adj matrix [num_nodes, num_nodes] bool
					lowerCamelCase__					=np.zeros([num_nodes, num_nodes]      ,						dtype=__A      )
					lowerCamelCase__					=True

					lowerCamelCase__					,  lowerCamelCase__					=algos_graphormer.floyd_warshall(__A      )
					lowerCamelCase__					=np.amax(__A      )

					lowerCamelCase__					=algos_graphormer.gen_edge_input(__A      ,						__A      ,						__A      )
					lowerCamelCase__					=np.zeros([num_nodes + 1, num_nodes + 1]      ,						dtype=np.single      )  # with graph token

					# combine
					lowerCamelCase__					=input_nodes + 1  # we shift all indices by one for padding
					lowerCamelCase__					=attn_bias
					lowerCamelCase__					=attn_edge_type
					lowerCamelCase__					=shortest_path_result.astype(np.intaa      ) + 1  # we shift all indices by one for padding
					lowerCamelCase__					=np.sum(__A      ,						axis=1      ).reshape(-1      ) + 1  # we shift all indices by one for padding
					lowerCamelCase__					=item['in_degree']  # for undirected graph
					lowerCamelCase__					=input_edges + 1  # we shift all indices by one for padding
					if "labels" not in item:
										lowerCamelCase__					=item['y']

					return item




class 							__lowercase:






						def __init__(       self     ,    _SCREAMING_SNAKE_CASE=20     ,    _SCREAMING_SNAKE_CASE=False)      ->	Any:




											"""simple docstring"""





											if not is_cython_available():
																raise ImportError('Graphormer preprocessing needs Cython (pyximport)')

											lowerCamelCase__					=spatial_pos_max
											lowerCamelCase__					=on_the_fly_processing






						def __call__(       self     ,    _SCREAMING_SNAKE_CASE)      ->	Dict[str, Any]:




											"""simple docstring"""





											if self.on_the_fly_processing:
																lowerCamelCase__					=[preprocess_item(_SCREAMING_SNAKE_CASE) for i in features]

											if not isinstance(features[0]     ,    _SCREAMING_SNAKE_CASE):
																lowerCamelCase__					=[vars(_SCREAMING_SNAKE_CASE) for f in features]
											lowerCamelCase__					={}

											lowerCamelCase__					=max(len(i['input_nodes']) for i in features)
											lowerCamelCase__					=len(features[0]['input_nodes'][0])
											lowerCamelCase__					=len(features[0]['attn_edge_type'][0][0])
											lowerCamelCase__					=max(len(i['input_edges'][0][0]) for i in features)
											lowerCamelCase__					=len(features[0]['input_edges'][0][0][0])
											lowerCamelCase__					=len(_SCREAMING_SNAKE_CASE)

											lowerCamelCase__					=torch.zeros(_SCREAMING_SNAKE_CASE     ,    max_node_num + 1     ,    max_node_num + 1     ,    dtype=torch.float)
											lowerCamelCase__					=torch.zeros(_SCREAMING_SNAKE_CASE     ,    _SCREAMING_SNAKE_CASE     ,    _SCREAMING_SNAKE_CASE     ,    _SCREAMING_SNAKE_CASE     ,    dtype=torch.long)
											lowerCamelCase__					=torch.zeros(_SCREAMING_SNAKE_CASE     ,    _SCREAMING_SNAKE_CASE     ,    _SCREAMING_SNAKE_CASE     ,    dtype=torch.long)
											lowerCamelCase__					=torch.zeros(_SCREAMING_SNAKE_CASE     ,    _SCREAMING_SNAKE_CASE     ,    dtype=torch.long)
											lowerCamelCase__					=torch.zeros(_SCREAMING_SNAKE_CASE     ,    _SCREAMING_SNAKE_CASE     ,    _SCREAMING_SNAKE_CASE     ,    dtype=torch.long)
											lowerCamelCase__					=torch.zeros(
											    _SCREAMING_SNAKE_CASE     ,    _SCREAMING_SNAKE_CASE     ,    _SCREAMING_SNAKE_CASE     ,    _SCREAMING_SNAKE_CASE     ,    _SCREAMING_SNAKE_CASE     ,    dtype=torch.long)

											for ix, f in enumerate(_SCREAMING_SNAKE_CASE):
																for k in ["attn_bias", "attn_edge_type", "spatial_pos", "in_degree", "input_nodes", "input_edges"]:
																					lowerCamelCase__					=torch.tensor(f[k])

																if len(f['attn_bias'][1:, 1:][f['spatial_pos'] >= self.spatial_pos_max]) > 0:
																					lowerCamelCase__					=float('-inf')

																lowerCamelCase__					=f['attn_bias']
																lowerCamelCase__					=f[
																    'attn_edge_type'
																]
																lowerCamelCase__					=f['spatial_pos']
																lowerCamelCase__					=f['in_degree']
																lowerCamelCase__					=f['input_nodes']
																lowerCamelCase__					=f['input_edges']

											lowerCamelCase__					=batch['in_degree']

											lowerCamelCase__					=features[0]['labels']
											if len(_SCREAMING_SNAKE_CASE) == 1:  # one task
																if isinstance(sample[0]     ,    _SCREAMING_SNAKE_CASE):  # regression
																					lowerCamelCase__					=torch.from_numpy(np.concatenate([i['labels'] for i in features]))
																else:  # binary classification
																					lowerCamelCase__					=torch.from_numpy(np.concatenate([i['labels'] for i in features]))
											else:  # multi task classification, left to float to keep the NaNs
																lowerCamelCase__					=torch.from_numpy(np.stack([i['labels'] for i in features]     ,    axis=0))

											return batch