
"""simple docstring"""
from functools import partial
from typing import Any, Callable, Dict, List, Type, TypeVar, Union, overload

import torch
import torch.nn as nn
import torch.types

def 				lowercase      (_lowerCAmelCase				,  _lowerCAmelCase				,  _lowerCAmelCase		):





						if not inplace:
												__lowerCAmelCase        =       ma + ma
						else:
												ma += ma

						return ma

def 				lowercase      (_lowerCAmelCase				,  _lowerCAmelCase		):
						__lowerCAmelCase        =       -1 * len(_lowerCamelCase		)
						__lowerCAmelCase        =       list(range(len(tensor.shape[:zero_index]		)		)		)
						return tensor.permute(first_inds + [zero_index + i for i in inds]		)

def 				lowercase      (_lowerCAmelCase				,  _lowerCAmelCase		):
						return t.reshape(t.shape[:-no_dims] + (-1,)		)

def 				lowercase      (_lowerCAmelCase				,  _lowerCAmelCase				,  _lowerCAmelCase				,  _lowerCAmelCase = 1E-4		):
						__lowerCAmelCase        =       mask.expand(*value.shape		)
						return torch.sum(mask * value				,  dim=_lowerCamelCase		) / (eps + torch.sum(_lowerCamelCase				,  dim=_lowerCamelCase		))

def 				lowercase      (_lowerCAmelCase				,  _lowerCAmelCase = 2.3_125				,  _lowerCAmelCase = 21.6_875				,  _lowerCAmelCase = 64		):
						__lowerCAmelCase        =       torch.linspace(_lowerCamelCase				,  _lowerCamelCase				,  no_bins - 1				,  device=pts.device		)
						__lowerCAmelCase        =       torch.sqrt(torch.sum((pts.unsqueeze(-2		) - pts.unsqueeze(-3		)) ** 2				,  dim=-1		)		)
						return torch.bucketize(_lowerCamelCase				,  _lowerCamelCase		)

def 				lowercase      (_lowerCAmelCase				,  _lowerCAmelCase		):
						__lowerCAmelCase        =       dicts[0]
						__lowerCAmelCase        =       {}
						for k, v in first.items():
												__lowerCAmelCase        =       [d[k] for d in dicts]
												if isinstance(_lowerCamelCase				,  _lowerCamelCase		):
																		__lowerCAmelCase        =       dict_multimap(_lowerCamelCase				,  _lowerCamelCase		)
												else:
																		__lowerCAmelCase        =       fn(_lowerCamelCase		)

						return new_dict

def 				lowercase      (_lowerCAmelCase				,  _lowerCAmelCase		):
						__lowerCAmelCase        =       v_bins.view(((1,) * len(x.shape		)) + (len(_lowerCamelCase		),)		)
						__lowerCAmelCase        =       x[..., None] - reshaped_bins
						__lowerCAmelCase        =       torch.argmin(torch.abs(_lowerCamelCase		)				,  dim=-1		)
						return nn.functional.one_hot(_lowerCamelCase				,  num_classes=len(_lowerCamelCase		)		).float()

def 				lowercase      (_lowerCAmelCase				,  _lowerCAmelCase				,  _lowerCAmelCase = 0				,  _lowerCAmelCase = 0		):
						__lowerCAmelCase        =       []
						for i, s in enumerate(data.shape[:no_batch_dims]		):
												__lowerCAmelCase        =       torch.arange(_lowerCamelCase		)
												__lowerCAmelCase        =       r.view(*(*((1,) * i), -1, *((1,) * (len(inds.shape		) - i - 1)))		)
												ranges.append(_lowerCamelCase		)

						__lowerCAmelCase        =       [slice(_lowerCamelCase		) for _ in range(len(data.shape		) - no_batch_dims		)]
						__lowerCAmelCase        =       inds
						ranges.extend(_lowerCamelCase		)
						# Matt note: Editing this to get around the behaviour of using a list as an array index changing
						# in recent Numpy versions
						return data[tuple(_lowerCamelCase		)]


SCREAMING_SNAKE_CASE_			      =					TypeVar('''T''')

def 				lowercase      (_lowerCAmelCase				,  _lowerCAmelCase				,  _lowerCAmelCase		):
						__lowerCAmelCase        =       {}
						for k, v in dic.items():
												if isinstance(_lowerCamelCase				,  _lowerCamelCase		):
																		__lowerCAmelCase        =       dict_map(_lowerCamelCase				,  _lowerCamelCase				,  _lowerCamelCase		)
												else:
																		__lowerCAmelCase        =       tree_map(_lowerCamelCase				,  _lowerCamelCase				,  _lowerCamelCase		)

						return new_dict

@overload
def 				lowercase      (_lowerCAmelCase				,  _lowerCAmelCase				,  _lowerCAmelCase		):
						...

@overload
def 				lowercase      (_lowerCAmelCase				,  _lowerCAmelCase				,  _lowerCAmelCase		):
						...

@overload
def 				lowercase      (_lowerCAmelCase				,  _lowerCAmelCase				,  _lowerCAmelCase		):
						...

@overload
def 				lowercase      (_lowerCAmelCase				,  _lowerCAmelCase				,  _lowerCAmelCase		):
						...

def 				lowercase      (_lowerCAmelCase				,  _lowerCAmelCase				,  _lowerCAmelCase		):





						if isinstance(_lowerCamelCase				,  _lowerCamelCase		):
												return dict_map(_lowerCamelCase				,  _lowerCamelCase				,  _lowerCamelCase		)
						elif isinstance(_lowerCamelCase				,  _lowerCamelCase		):
												return [tree_map(_lowerCamelCase				,  _lowerCamelCase				,  _lowerCamelCase		) for x in tree]
						elif isinstance(_lowerCamelCase				,  _lowerCamelCase		):
												return tuple(tree_map(_lowerCamelCase				,  _lowerCamelCase				,  _lowerCamelCase		) for x in tree		)
						elif isinstance(_lowerCamelCase				,  _lowerCamelCase		):
												return fn(_lowerCamelCase		)
						else:
												print(type(_lowerCamelCase		)		)
												raise ValueError("""Not supported"""		)



SCREAMING_SNAKE_CASE_			      =					partial(tree_map, leaf_type=torch.Tensor)



"""simple docstring"""
from __future__ import annotations

from typing import Generic, TypeVar

SCREAMING_SNAKE_CASE_			      =					TypeVar('''T''')
class      lowerCAmelCase_						(							A__				):



							'''simple docstring'''





							pass
class      lowerCAmelCase_						(							A__				):



							'''simple docstring'''





							pass
class      lowerCAmelCase_						(							Generic[T]				):



							'''simple docstring'''





							def __init__(				self  ,							snake_case_ = 10							)   ->       Tuple:
													__lowerCAmelCase        =       []
													__lowerCAmelCase        =       limit




							def __bool__(				self							)   ->       bool:
													return bool(self.stack							)




							def __str__(				self							)   ->       str:
													return str(self.stack							)




							def  A__		(				self  ,							snake_case_							)   ->       None:
													if len(self.stack							) >= self.limit:
																			raise StackOverflowError
													self.stack.append(snake_case_							)




							def  A__		(				self							)   ->       T:
													if not self.stack:
																			raise StackUnderflowError
													return self.stack.pop()




							def  A__		(				self							)   ->       T:
													if not self.stack:
																			raise StackUnderflowError
													return self.stack[-1]




							def  A__		(				self							)   ->       bool:
													return not bool(self.stack							)




							def  A__		(				self							)   ->       bool:
													return self.size() == self.limit




							def  A__		(				self							)   ->       int:
													return len(self.stack							)




							def __contains__(				self  ,							snake_case_							)   ->       bool:
													return item in self.stack

def 				lowercase      ():
						__lowerCAmelCase        =       Stack(10		)
						assert bool(_lowerCAmelCase		) is False
						assert stack.is_empty() is True
						assert stack.is_full() is False
						assert str(_lowerCAmelCase		) == "[]"

						try:
												__lowerCAmelCase        =       stack.pop()
												raise AssertionError  # This should not happen
						except StackUnderflowError:
												assert True  # This should happen

						try:
												__lowerCAmelCase        =       stack.peek()
												raise AssertionError  # This should not happen
						except StackUnderflowError:
												assert True  # This should happen

						for i in range(10		):
												assert stack.size() == i
												stack.push(_lowerCAmelCase		)

						assert bool(_lowerCAmelCase		)
						assert not stack.is_empty()
						assert stack.is_full()
						assert str(_lowerCAmelCase		) == str(list(range(10		)		)		)
						assert stack.pop() == 9
						assert stack.peek() == 8

						stack.push(100		)
						assert str(_lowerCAmelCase		) == str([0, 1, 2, 3, 4, 5, 6, 7, 8, 100]		)

						try:
												stack.push(200		)
												raise AssertionError  # This should not happen
						except StackOverflowError:
												assert True  # This should happen

						assert not stack.is_empty()
						assert stack.size() == 10

						assert 5 in stack
						assert 55 not in stack


if __name__ == "__main__":
			test_stack()
