'''simple docstring'''



from __future__ import annotations

import math

_SCREAMING_SNAKE_CASE   =      '''2020.9.26'''
_SCREAMING_SNAKE_CASE   =      '''xcodz-dot, cclaus, dhruvmanila'''




def 				_lowerCAmelCase  (			lowerCamelCase_     :					float						,    lowerCamelCase_     :					float						,    lowerCamelCase_     :					float						,    lowerCamelCase_     :					float						,    lowerCamelCase_     :					float			):
			if not all(isinstance(lowerCamelCase_						,    (float, int)			) for val in locals().values()			):
						__lowercase			  =							f"Input values must either be float or int: {list(locals().values()			)}"
						raise TypeError(lowerCamelCase_			)
			__lowercase			  =							((x * distance) / (z + distance)) * scale
			__lowercase			  =							((y * distance) / (z + distance)) * scale
			return projected_x, projected_y




def 				_lowerCAmelCase  (			lowerCamelCase_     :					float						,    lowerCamelCase_     :					float						,    lowerCamelCase_     :					float						,    lowerCamelCase_     :					str						,    lowerCamelCase_     :					float			):
			if not isinstance(lowerCamelCase_						,    lowerCamelCase_			):
						raise TypeError('''Axis must be a str'''			)
			__lowercase			  =							locals()
			del input_variables["axis"]
			if not all(isinstance(lowerCamelCase_						,    (float, int)			) for val in input_variables.values()			):
						__lowercase			  =							(
						    'Input values except axis must either be float or int: '
						    f"{list(input_variables.values()			)}"
						)
						raise TypeError(lowerCamelCase_			)
			__lowercase			  =							(angle % 3_6_0) / 4_5_0 * 1_8_0 / math.pi
			if axis == "z":
						__lowercase			  =							x * math.cos(lowerCamelCase_			) - y * math.sin(lowerCamelCase_			)
						__lowercase			  =							y * math.cos(lowerCamelCase_			) + x * math.sin(lowerCamelCase_			)
						__lowercase			  =							z
			elif axis == "x":
						__lowercase			  =							y * math.cos(lowerCamelCase_			) - z * math.sin(lowerCamelCase_			)
						__lowercase			  =							z * math.cos(lowerCamelCase_			) + y * math.sin(lowerCamelCase_			)
						__lowercase			  =							x
			elif axis == "y":
						__lowercase			  =							x * math.cos(lowerCamelCase_			) - z * math.sin(lowerCamelCase_			)
						__lowercase			  =							z * math.cos(lowerCamelCase_			) + x * math.sin(lowerCamelCase_			)
						__lowercase			  =							y
			else:
						raise ValueError('''not a valid axis, choose one of \'x\', \'y\', \'z\''''			)

			return new_x, new_y, new_z


if __name__ == "__main__":
	import doctest

	doctest.testmod()
	print(f'''{convert_to_ad(1.0, 2.0, 3.0, 1_0.0, 1_0.0) = }''')
	print(f'''{rotate(1.0, 2.0, 3.0, 'y', 9_0.0) = }''')












'''simple docstring'''



_SCREAMING_SNAKE_CASE   =      {
    '''A''': ['''B''', '''C''', '''E'''],
    '''B''': ['''A''', '''D''', '''E'''],
    '''C''': ['''A''', '''F''', '''G'''],
    '''D''': ['''B'''],
    '''E''': ['''A''', '''B''', '''D'''],
    '''F''': ['''C'''],
    '''G''': ['''C'''],
}




def 				_lowerCAmelCase  (			lowerCamelCase_     :					dict						,    lowerCamelCase_     :					Optional[Any]						,    lowerCamelCase_     :					List[str]			):
			__lowercase			  =							set()
			# keep track of all the paths to be checked
			__lowercase			  =							[[start]]

			# return path if start is goal
			if start == goal:
						return [start]

			# keeps looping until all possible paths have been checked
			while queue:
						# pop the first path from the queue
						__lowercase			  =							queue.pop(0			)
						# get the last node from the path
						__lowercase			  =							path[-1]
						if node not in explored:
									__lowercase			  =							graph[node]
									# go through all neighbour nodes, construct a new path and
									# push it into the queue
									for neighbour in neighbours:
												__lowercase			  =							list(lowerCamelCase_			)
												new_path.append(lowerCamelCase_			)
												queue.append(lowerCamelCase_			)
												# return path if neighbour is goal
												if neighbour == goal:
															return new_path

            # mark node as explored
									explored.add(lowerCamelCase_			)

    # in case there's no path between the 2 nodes
			return []




def 				_lowerCAmelCase  (			lowerCamelCase_     :					dict						,    lowerCamelCase_     :					str						,    lowerCamelCase_     :					str			):
			if not graph or start not in graph or target not in graph:
						return -1
			if start == target:
						return 0
			__lowercase			  =							[start]
			__lowercase			  =							set(lowerCamelCase_			)
			# Keep tab on distances from `start` node.
			__lowercase			  =							{start: 0, target: -1}
			while queue:
						__lowercase			  =							queue.pop(0			)
						if node == target:
									__lowercase			  =							(
									    dist[node] if dist[target] == -1 else min(dist[target]						,    dist[node]			)
									)
						for adjacent in graph[node]:
									if adjacent not in visited:
												visited.add(lowerCamelCase_			)
												queue.append(lowerCamelCase_			)
												__lowercase			  =							dist[node] + 1
			return dist[target]


if __name__ == "__main__":
	print(bfs_shortest_path(demo_graph, '''G''', '''D'''))  # returns ['G', 'C', 'A', 'B', 'D']
	print(bfs_shortest_path_distance(demo_graph, '''G''', '''D'''))  # returns 4





