




'''simple docstring'''







class 	lowerCamelCase_				:




					'''simple docstring'''






					def __init__(       self,    __UpperCamelCase					):
							_snake_case      			=			val
							# Number of nodes in left subtree
							_snake_case      			=			0
							_snake_case      			=			None
							_snake_case      			=			None
							_snake_case      			=			None






					def 							__SCREAMING_SNAKE_CASE      (       self,    __UpperCamelCase					):
							assert self.left_tree_size == other.left_tree_size, "Unequal Sizes of Blocks"

							if self.val < other.val:
									_snake_case      			=			self.right
									_snake_case      			=			None
									if self.right:
											_snake_case      			=			other
									_snake_case      			=			other
									_snake_case      			=			self.left_tree_size * 2 + 1
									return self
							else:
									_snake_case      			=			other.right
									_snake_case      			=			None
									if other.right:
											_snake_case      			=			self
									_snake_case      			=			self
									_snake_case      			=			other.left_tree_size * 2 + 1
									return other





class 	lowerCamelCase_				:




					'''simple docstring'''






					def __init__(       self,    __UpperCamelCase=None,    __UpperCamelCase=None,    __UpperCamelCase=0					):
							_snake_case      			=			heap_size
							_snake_case      			=			bottom_root
							_snake_case      			=			min_node






					def 							__SCREAMING_SNAKE_CASE      (       self,    __UpperCamelCase					):

							# Empty heaps corner cases
							if other.size == 0:
									return None
							if self.size == 0:
									_snake_case      			=			other.size
									_snake_case      			=			other.bottom_root
									_snake_case      			=			other.min_node
									return None
							# Update size
							_snake_case      			=			self.size + other.size

							# Update min.node
							if self.min_node.val > other.min_node.val:
									_snake_case      			=			other.min_node
							# Merge

							# Order roots by left_subtree_size
							_snake_case      			=			[]
							_snake_case      			=			self.bottom_root, other.bottom_root
							while i or j:
									if i and ((not j) or i.left_tree_size < j.left_tree_size):
											combined_roots_list.append((i, True)					)
											_snake_case      			=			i.parent
									else:
											combined_roots_list.append((j, False)					)
											_snake_case      			=			j.parent
        # Insert links between them
							for i in range(len(_SCREAMING_SNAKE_CASE					) - 1					):
									if combined_roots_list[i][1] != combined_roots_list[i + 1][1]:
											_snake_case      			=			combined_roots_list[i + 1][0]
											_snake_case      			=			combined_roots_list[i][0]
        # Consecutively merge roots with same left_tree_size
							_snake_case      			=			combined_roots_list[0][0]
							while i.parent:
									if (
									    (i.left_tree_size == i.parent.left_tree_size) and (not i.parent.parent)
									) or (
									    i.left_tree_size == i.parent.left_tree_size
									    and i.left_tree_size != i.parent.parent.left_tree_size
									):
											# Neighbouring Nodes
											_snake_case      			=			i.left
											_snake_case      			=			i.parent.parent

											# Merging trees
											_snake_case      			=			i.merge_trees(i.parent					)

											# Updating links
											_snake_case      			=			previous_node
											_snake_case      			=			next_node
											if previous_node:
													_snake_case      			=			i
											if next_node:
													_snake_case      			=			i
									else:
											_snake_case      			=			i.parent
        # Updating self.bottom_root
							while i.left:
									_snake_case      			=			i.left
							_snake_case      			=			i

							# Update other
							_snake_case      			=			self.size
							_snake_case      			=			self.bottom_root
							_snake_case      			=			self.min_node

							# Return the merged heap
							return self






					def 							__SCREAMING_SNAKE_CASE      (       self,    __UpperCamelCase					):
							if self.size == 0:
									_snake_case      			=			Node(_SCREAMING_SNAKE_CASE					)
									_snake_case      			=			1
									_snake_case      			=			self.bottom_root
							else:
									# Create new node
									_snake_case      			=			Node(_SCREAMING_SNAKE_CASE					)

									# Update size
									self.size += 1

									# update min_node
									if val < self.min_node.val:
											_snake_case      			=			new_node
									# Put new_node as a bottom_root in heap
									_snake_case      			=			new_node
									_snake_case      			=			self.bottom_root
									_snake_case      			=			new_node

									# Consecutively merge roots with same left_tree_size
									while (
									    self.bottom_root.parent
									    and self.bottom_root.left_tree_size
									    == self.bottom_root.parent.left_tree_size
									):
											# Next node
											_snake_case      			=			self.bottom_root.parent.parent

											# Merge
											_snake_case      			=			self.bottom_root.merge_trees(self.bottom_root.parent					)

											# Update Links
											_snake_case      			=			next_node
											_snake_case      			=			None
											if next_node:
													_snake_case      			=			self.bottom_root






					def 							__SCREAMING_SNAKE_CASE      (       self					):
							return self.min_node.val






					def 							__SCREAMING_SNAKE_CASE      (       self					):
							return self.size == 0






					def 							__SCREAMING_SNAKE_CASE      (       self					):
							_snake_case      			=			self.min_node.val

							# Last element in heap corner case
							if self.size == 1:
									# Update size
									_snake_case      			=			0

									# Update bottom root
									_snake_case      			=			None

									# Update min_node
									_snake_case      			=			None

									return min_value
							# No right subtree corner case
							# The structure of the tree implies that this should be the bottom root
							# and there is at least one other root
							if self.min_node.right is None:
									# Update size
									self.size -= 1

									# Update bottom root
									_snake_case      			=			self.bottom_root.parent
									_snake_case      			=			None

									# Update min_node
									_snake_case      			=			self.bottom_root
									_snake_case      			=			self.bottom_root.parent
									while i:
											if i.val < self.min_node.val:
													_snake_case      			=			i
											_snake_case      			=			i.parent
									return min_value
							# General case
							# Find the BinomialHeap of the right subtree of min_node
							_snake_case      			=			self.min_node.right
							_snake_case      			=			None
							_snake_case      			=			bottom_of_new
							_snake_case      			=			1

							# Size, min_node and bottom_root
							while bottom_of_new.left:
									_snake_case      			=			size_of_new * 2 + 1
									_snake_case      			=			bottom_of_new.left
									if bottom_of_new.val < min_of_new.val:
											_snake_case      			=			bottom_of_new
        # Corner case of single root on top left path
							if (not self.min_node.left) and (not self.min_node.parent):
									_snake_case      			=			size_of_new
									_snake_case      			=			bottom_of_new
									_snake_case      			=			min_of_new
									# print("Single root, multiple nodes case")
									return min_value
							# Remaining cases
							# Construct heap of right subtree
							_snake_case      			=			BinomialHeap(
							    bottom_root=_SCREAMING_SNAKE_CASE,    min_node=_SCREAMING_SNAKE_CASE,    heap_size=_SCREAMING_SNAKE_CASE					)

							# Update size
							_snake_case      			=			self.size - 1 - size_of_new

							# Neighbour nodes
							_snake_case      			=			self.min_node.left
							_snake_case      			=			self.min_node.parent

							# Initialize new bottom_root and min_node
							_snake_case      			=			previous_node or next_node
							_snake_case      			=			next_node

							# Update links of previous_node and search below for new min_node and
							# bottom_root
							if previous_node:
									_snake_case      			=			next_node

									# Update bottom_root and search for min_node below
									_snake_case      			=			previous_node
									_snake_case      			=			previous_node
									while self.bottom_root.left:
											_snake_case      			=			self.bottom_root.left
											if self.bottom_root.val < self.min_node.val:
													_snake_case      			=			self.bottom_root
							if next_node:
									_snake_case      			=			previous_node

									# Search for new min_node above min_node
									_snake_case      			=			next_node
									while i:
											if i.val < self.min_node.val:
													_snake_case      			=			i
											_snake_case      			=			i.parent
        # Merge heaps
							self.merge_heaps(_SCREAMING_SNAKE_CASE					)

							return min_value






					def 							__SCREAMING_SNAKE_CASE      (       self					):
							_snake_case      			=			self.bottom_root
							while top_root.parent:
									_snake_case      			=			top_root.parent
							# preorder
							_snake_case      			=			[]
							self.__traversal(_SCREAMING_SNAKE_CASE,    _SCREAMING_SNAKE_CASE					)
							return heap_pre_order






					def 							__SCREAMING_SNAKE_CASE      (       self,    __UpperCamelCase,    __UpperCamelCase,    __UpperCamelCase=0					):
							if curr_node:
									preorder.append((curr_node.val, level)					)
									self.__traversal(curr_node.left,    _SCREAMING_SNAKE_CASE,    level + 1					)
									self.__traversal(curr_node.right,    _SCREAMING_SNAKE_CASE,    level + 1					)
							else:
									preorder.append(("#", level)					)






					def __str__(       self					):
							if self.is_empty():
									return ""
							_snake_case      			=			self.pre_order()

							return "\n".join(("-" * level + str(_SCREAMING_SNAKE_CASE					)) for value, level in preorder_heap					)


# Unit Tests
if __name__ == "__main__":
						import doctest

						doctest.testmod()









from .chunk_utils import chunk_layer
from .data_transforms import make_atomaa_masks
from .feats import atomaa_to_atomaa, frames_and_literature_positions_to_atomaa_pos, torsion_angles_to_frames
from .loss import compute_predicted_aligned_error, compute_tm
from .protein import Protein as OFProtein
from .protein import to_pdb
from .rigid_utils import Rigid, Rotation
from .tensor_utils import dict_multimap, flatten_final_dims, permute_final_dims




