
import math
from enum import Enum
from typing import Optional, Union

from torch.optim import Optimizer
from torch.optim.lr_scheduler import LambdaLR

from .utils import logging


_A     =  logging.get_logger(__name__)





class 			_lowerCAmelCase      (			__a ):
				_lowercase    	='''linear'''
				_lowercase    	='''cosine'''
				_lowercase    	='''cosine_with_restarts'''
				_lowercase    	='''polynomial'''
				_lowercase    	='''constant'''
				_lowercase    	='''constant_with_warmup'''
				_lowercase    	='''piecewise_constant'''






def      lowerCamelCase__       (       __lowerCAmelCase						:						Optimizer					,							__lowerCAmelCase						:						int = -1       ):




			"""simple docstring"""


			return LambdaLR(__lowerCAmelCase					,							lambda __lowerCAmelCase       : 1					,							last_epoch=__lowerCAmelCase       )






def      lowerCamelCase__       (       __lowerCAmelCase						:						Optimizer					,							__lowerCAmelCase						:						int					,							__lowerCAmelCase						:						int = -1       ):




			"""simple docstring"""


			def lr_lambda(__lowerCAmelCase						:						int       ):
						if current_step < num_warmup_steps:
									return float(__lowerCAmelCase       ) / float(max(1.0					,							__lowerCAmelCase       )       )
						return 1.0

			return LambdaLR(__lowerCAmelCase					,							__lowerCAmelCase					,							last_epoch=__lowerCAmelCase       )






def      lowerCamelCase__       (       __lowerCAmelCase						:						Optimizer					,							__lowerCAmelCase						:						str					,							__lowerCAmelCase						:						int = -1       ):




			"""simple docstring"""


			lowerCAmelCase_      			=			{}
			lowerCAmelCase_      			=			step_rules.split(","       )
			for rule_str in rule_list[:-1]:
						lowerCAmelCase_			,						lowerCAmelCase_      			=			rule_str.split(":"       )
						lowerCAmelCase_      			=			int(__lowerCAmelCase       )
						lowerCAmelCase_      			=			float(__lowerCAmelCase       )
						lowerCAmelCase_      			=			value
			lowerCAmelCase_      			=			float(rule_list[-1]       )

			def create_rules_function(__lowerCAmelCase						:						List[str]					,							__lowerCAmelCase						:						str       ):
						def rule_func(__lowerCAmelCase						:						int       ) -> float:
									lowerCAmelCase_      			=			sorted(rules_dict.keys()       )
									for i, sorted_step in enumerate(__lowerCAmelCase       ):
												if steps < sorted_step:
															return rules_dict[sorted_steps[i]]
									return last_lr_multiple

						return rule_func

			lowerCAmelCase_      			=			create_rules_function(__lowerCAmelCase					,							__lowerCAmelCase       )

			return LambdaLR(__lowerCAmelCase					,							__lowerCAmelCase					,							last_epoch=__lowerCAmelCase       )






def      lowerCamelCase__       (       __lowerCAmelCase						:						Union[str, Any]					,							__lowerCAmelCase						:						List[Any]					,							__lowerCAmelCase						:						Optional[Any]					,							__lowerCAmelCase						:						Dict=-1       ):




			"""simple docstring"""


			def lr_lambda(__lowerCAmelCase						:						int       ):
						if current_step < num_warmup_steps:
									return float(__lowerCAmelCase       ) / float(max(1					,							__lowerCAmelCase       )       )
						return max(
						    0.0					,							float(num_training_steps - current_step       ) / float(max(1					,							num_training_steps - num_warmup_steps       )       )       )

			return LambdaLR(__lowerCAmelCase					,							__lowerCAmelCase					,							__lowerCAmelCase       )






def      lowerCamelCase__       (       __lowerCAmelCase						:						Optimizer					,							__lowerCAmelCase						:						int					,							__lowerCAmelCase						:						int					,							__lowerCAmelCase						:						float = 0.5					,							__lowerCAmelCase						:						int = -1       ):




			"""simple docstring"""


			def lr_lambda(__lowerCAmelCase						:						Tuple       ):
						if current_step < num_warmup_steps:
									return float(__lowerCAmelCase       ) / float(max(1					,							__lowerCAmelCase       )       )
						lowerCAmelCase_      			=			float(current_step - num_warmup_steps       ) / float(max(1					,							num_training_steps - num_warmup_steps       )       )
						return max(0.0					,							0.5 * (1.0 + math.cos(math.pi * float(__lowerCAmelCase       ) * 2.0 * progress       ))       )

			return LambdaLR(__lowerCAmelCase					,							__lowerCAmelCase					,							__lowerCAmelCase       )






def      lowerCamelCase__       (       __lowerCAmelCase						:						Optimizer					,							__lowerCAmelCase						:						int					,							__lowerCAmelCase						:						int					,							__lowerCAmelCase						:						int = 1					,							__lowerCAmelCase						:						int = -1       ):




			"""simple docstring"""


			def lr_lambda(__lowerCAmelCase						:						List[str]       ):
						if current_step < num_warmup_steps:
									return float(__lowerCAmelCase       ) / float(max(1					,							__lowerCAmelCase       )       )
						lowerCAmelCase_      			=			float(current_step - num_warmup_steps       ) / float(max(1					,							num_training_steps - num_warmup_steps       )       )
						if progress >= 1.0:
									return 0.0
						return max(0.0					,							0.5 * (1.0 + math.cos(math.pi * ((float(__lowerCAmelCase       ) * progress) % 1.0)       ))       )

			return LambdaLR(__lowerCAmelCase					,							__lowerCAmelCase					,							__lowerCAmelCase       )






def      lowerCamelCase__       (       __lowerCAmelCase						:						int					,							__lowerCAmelCase						:						List[str]					,							__lowerCAmelCase						:						Optional[Any]					,							__lowerCAmelCase						:						List[str]=1e-7					,							__lowerCAmelCase						:						Any=1.0					,							__lowerCAmelCase						:						Tuple=-1       ):




			"""simple docstring"""


			lowerCAmelCase_      			=			optimizer.defaults["lr"]
			if not (lr_init > lr_end):
						raise ValueError(F"""lr_end ({lr_end}) must be be smaller than initial lr ({lr_init})"""       )

			def lr_lambda(__lowerCAmelCase						:						int       ):
						if current_step < num_warmup_steps:
									return float(__lowerCAmelCase       ) / float(max(1					,							__lowerCAmelCase       )       )
						elif current_step > num_training_steps:
									return lr_end / lr_init  # as LambdaLR multiplies by lr_init
						else:
									lowerCAmelCase_      			=			lr_init - lr_end
									lowerCAmelCase_      			=			num_training_steps - num_warmup_steps
									lowerCAmelCase_      			=			1 - (current_step - num_warmup_steps) / decay_steps
									lowerCAmelCase_      			=			lr_range * pct_remaining**power + lr_end
									return decay / lr_init  # as LambdaLR multiplies by lr_init

			return LambdaLR(__lowerCAmelCase					,							__lowerCAmelCase					,							__lowerCAmelCase       )


_A     =  {
    SchedulerType.LINEAR: get_linear_schedule_with_warmup,
    SchedulerType.COSINE: get_cosine_schedule_with_warmup,
    SchedulerType.COSINE_WITH_RESTARTS: get_cosine_with_hard_restarts_schedule_with_warmup,
    SchedulerType.POLYNOMIAL: get_polynomial_decay_schedule_with_warmup,
    SchedulerType.CONSTANT: get_constant_schedule,
    SchedulerType.CONSTANT_WITH_WARMUP: get_constant_schedule_with_warmup,
    SchedulerType.PIECEWISE_CONSTANT: get_piecewise_constant_schedule,
}






def      lowerCamelCase__       (       __lowerCAmelCase						:						Union[str, SchedulerType]					,							__lowerCAmelCase						:						Optimizer					,							__lowerCAmelCase						:						Optional[str] = None					,							__lowerCAmelCase						:						Optional[int] = None					,							__lowerCAmelCase						:						Optional[int] = None					,							__lowerCAmelCase						:						int = 1					,							__lowerCAmelCase						:						float = 1.0					,							__lowerCAmelCase						:						int = -1					,							):




			"""simple docstring"""


			lowerCAmelCase_      			=			SchedulerType(__lowerCAmelCase       )
			lowerCAmelCase_      			=			TYPE_TO_SCHEDULER_FUNCTION[name]
			if name == SchedulerType.CONSTANT:
						return schedule_func(__lowerCAmelCase					,							last_epoch=__lowerCAmelCase       )

			if name == SchedulerType.PIECEWISE_CONSTANT:
						return schedule_func(__lowerCAmelCase					,							step_rules=__lowerCAmelCase					,							last_epoch=__lowerCAmelCase       )

			# All other schedulers require `num_warmup_steps`
			if num_warmup_steps is None:
						raise ValueError(F"""{name} requires `num_warmup_steps`, please provide that argument."""       )

			if name == SchedulerType.CONSTANT_WITH_WARMUP:
						return schedule_func(__lowerCAmelCase					,							num_warmup_steps=__lowerCAmelCase					,							last_epoch=__lowerCAmelCase       )

			# All other schedulers require `num_training_steps`
			if num_training_steps is None:
						raise ValueError(F"""{name} requires `num_training_steps`, please provide that argument."""       )

			if name == SchedulerType.COSINE_WITH_RESTARTS:
						return schedule_func(
						    __lowerCAmelCase					,							num_warmup_steps=__lowerCAmelCase					,							num_training_steps=__lowerCAmelCase					,							num_cycles=__lowerCAmelCase					,							last_epoch=__lowerCAmelCase					,							)

			if name == SchedulerType.POLYNOMIAL:
						return schedule_func(
						    __lowerCAmelCase					,							num_warmup_steps=__lowerCAmelCase					,							num_training_steps=__lowerCAmelCase					,							power=__lowerCAmelCase					,							last_epoch=__lowerCAmelCase					,							)

			return schedule_func(
			    __lowerCAmelCase					,							num_warmup_steps=__lowerCAmelCase					,							num_training_steps=__lowerCAmelCase					,							last_epoch=__lowerCAmelCase       )





from collections.abc import Iterable
from typing import Any





class 			_lowerCAmelCase      :




				def __init__(      self       ,       _UpperCamelCase = None  )       ->   str:
							lowerCAmelCase_      			=			value
							lowerCAmelCase_      			=			None  # Added in order to delete a node easier
							lowerCAmelCase_      			=			None
							lowerCAmelCase_      			=			None




				def __repr__(      self  )       ->   str:
							from pprint import pformat

							if self.left is None and self.right is None:
										return str(self.value  )
							return pformat({f"""{self.value}""": (self.left, self.right)}       ,       indent=1  )





class 			_lowerCAmelCase      :




				def __init__(      self       ,       _UpperCamelCase = None  )       ->   Union[str, Any]:
							lowerCAmelCase_      			=			root




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




				def   __a		(      self       ,       _UpperCamelCase       ,       _UpperCamelCase  )       ->   None:
							if new_children is not None:  # reset its kids
										lowerCAmelCase_      			=			node.parent
							if node.parent is not None:  # reset its parent
										if self.is_right(_UpperCamelCase  ):  # If it is the right children
													lowerCAmelCase_      			=			new_children
										else:
													lowerCAmelCase_      			=			new_children
							else:
										lowerCAmelCase_      			=			new_children




				def   __a		(      self       ,       _UpperCamelCase  )       ->   bool:
							if node.parent and node.parent.right:
										return node == node.parent.right
							return False




				def   __a		(      self  )       ->   bool:
							return self.root is None




				def   __a		(      self       ,       _UpperCamelCase  )       ->   None:
							lowerCAmelCase_      			=			Node(_UpperCamelCase  )  # create a new Node
							if self.empty():  # if Tree is empty
										lowerCAmelCase_      			=			new_node  # set its root
							else:  # Tree is not empty
										lowerCAmelCase_      			=			self.root  # from root
										if parent_node is None:
													return
										while True:  # While we don't get to a leaf
													if value < parent_node.value:  # We go left
																if parent_node.left is None:
																			lowerCAmelCase_      			=			new_node  # We insert the new node in a leaf
																			break
																else:
																			lowerCAmelCase_      			=			parent_node.left
													else:
																if parent_node.right is None:
																			lowerCAmelCase_      			=			new_node
																			break
																else:
																			lowerCAmelCase_      			=			parent_node.right
										lowerCAmelCase_      			=			parent_node




				def   __a		(      self       ,       *_UpperCamelCase  )       ->   None:
							for value in values:
										self.__insert(_UpperCamelCase  )




				def   __a		(      self       ,       _UpperCamelCase  )       ->   Node | None:
							if self.empty():
										raise IndexError("Warning: Tree is empty! please use another."  )
							else:
										lowerCAmelCase_      			=			self.root
										# use lazy evaluation here to avoid NoneType Attribute error
										while node is not None and node.value is not value:
													lowerCAmelCase_      			=			node.left if value < node.value else node.right
										return node




				def   __a		(      self       ,       _UpperCamelCase = None  )       ->   Node | None:
							if node is None:
										if self.root is None:
													return None
										lowerCAmelCase_      			=			self.root

							if not self.empty():
										while node.right is not None:
													lowerCAmelCase_      			=			node.right
							return node




				def   __a		(      self       ,       _UpperCamelCase = None  )       ->   Node | None:
							if node is None:
										lowerCAmelCase_      			=			self.root
							if self.root is None:
										return None
							if not self.empty():
										lowerCAmelCase_      			=			self.root
										while node.left is not None:
													lowerCAmelCase_      			=			node.left
							return node




				def   __a		(      self       ,       _UpperCamelCase  )       ->   None:
							lowerCAmelCase_      			=			self.search(_UpperCamelCase  )  # Look for the node with that label
							if node is not None:
										if node.left is None and node.right is None:  # If it has no children
													self.__reassign_nodes(_UpperCamelCase       ,       _UpperCamelCase  )
										elif node.left is None:  # Has only right children
													self.__reassign_nodes(_UpperCamelCase       ,       node.right  )
										elif node.right is None:  # Has only left children
													self.__reassign_nodes(_UpperCamelCase       ,       node.left  )
										else:
													lowerCAmelCase_      			=			self.get_max(
													    node.left  )  # Gets the max value of the left branch
													self.remove(tmp_node.value  )  # type: ignore
													lowerCAmelCase_      			=			(
													    tmp_node.value  # type: ignore
													)  # Assigns the value to the node to delete and keep tree structure




				def   __a		(      self       ,       _UpperCamelCase  )       ->   Iterable:
							if node is not None:
										yield node  # Preorder Traversal
										yield from self.preorder_traverse(node.left  )
										yield from self.preorder_traverse(node.right  )




				def   __a		(      self       ,       _UpperCamelCase=None  )       ->   Any:
							if traversal_function is None:
										return self.preorder_traverse(self.root  )
							else:
										return traversal_function(self.root  )




				def   __a		(      self       ,       _UpperCamelCase       ,       _UpperCamelCase  )       ->   None:
							if node:
										self.inorder(_UpperCamelCase       ,       node.left  )
										arr.append(node.value  )
										self.inorder(_UpperCamelCase       ,       node.right  )




				def   __a		(      self       ,       _UpperCamelCase       ,       _UpperCamelCase  )       ->   int:
							lowerCAmelCase_      			=			[]
							self.inorder(_UpperCamelCase       ,       _UpperCamelCase  )  # append all values to list using inorder traversal
							return arr[k - 1]






def      lowerCamelCase__       (       __lowerCAmelCase						:						Node | None       ):




			"""simple docstring"""


			lowerCAmelCase_      			=			[]
			if curr_node is not None:
						lowerCAmelCase_      			=			postorder(curr_node.left       ) + postorder(curr_node.right       ) + [curr_node]
			return node_list






def      lowerCamelCase__       (       ):




			"""simple docstring"""


			lowerCAmelCase_      			=			(8, 3, 6, 1, 10, 14, 13, 4, 7)
			lowerCAmelCase_      			=			BinarySearchTree()
			for i in testlist:
						t.insert(__lowerCAmelCase       )

			# Prints all the elements of the list in order traversal
			print(__lowerCAmelCase       )

			if t.search(6       ) is not None:
						print("The value 6 exists"       )
			else:
						print("The value 6 doesn't exist"       )

			if t.search(-1       ) is not None:
						print("The value -1 exists"       )
			else:
						print("The value -1 doesn't exist"       )

			if not t.empty():
						print("Max Value: "					,							t.get_max().value       )  # type: ignore
						print("Min Value: "					,							t.get_min().value       )  # type: ignore

			for i in testlist:
						t.remove(__lowerCAmelCase       )
						print(__lowerCAmelCase       )


if __name__ == "__main__":
			import doctest

			doctest.testmod(verbose=True)



