




'''simple docstring'''




from __future__ import annotations

import math

a_      :		str							      =       """2020.9.26"""
a_      :		Tuple							      =       """xcodz-dot, cclaus, dhruvmanila"""





def      a_							(      __snake_case							:			float   ,       __snake_case							:			float   ,       __snake_case							:			float   ,       __snake_case							:			float   ,       __snake_case							:			float   )							->						tuple[float, float]:



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





def      a_							(      __snake_case							:			float   ,       __snake_case							:			float   ,       __snake_case							:			float   ,       __snake_case							:			str   ,       __snake_case							:			float   )							->						tuple[float, float, float]:



       """simple docstring"""
       if not isinstance(__snake_case   ,       __snake_case   ):
              raise TypeError('''Axis must be a str'''   )
       lowerCamelCase_							=locals()
       del input_variables["axis"]
       if not all(isinstance(__snake_case   ,       (float, int)   ) for val in input_variables.values()   ):
              lowerCamelCase_							=(
                  '''Input values except axis must either be float or int: '''
                  F'''{list(input_variables.values()   )}'''
              )
              raise TypeError(__snake_case   )
       lowerCamelCase_							=(angle % 360) / 450 * 180 / math.pi
       if axis == "z":
              lowerCamelCase_							=x * math.cos(__snake_case   ) - y * math.sin(__snake_case   )
              lowerCamelCase_							=y * math.cos(__snake_case   ) + x * math.sin(__snake_case   )
              lowerCamelCase_							=z
       elif axis == "x":
              lowerCamelCase_							=y * math.cos(__snake_case   ) - z * math.sin(__snake_case   )
              lowerCamelCase_							=z * math.cos(__snake_case   ) + y * math.sin(__snake_case   )
              lowerCamelCase_							=x
       elif axis == "y":
              lowerCamelCase_							=x * math.cos(__snake_case   ) - z * math.sin(__snake_case   )
              lowerCamelCase_							=z * math.cos(__snake_case   ) + x * math.sin(__snake_case   )
              lowerCamelCase_							=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, 10.0, 10.0) = }""")
     print(F"""{rotate(1.0, 2.0, 3.0, "y", 90.0) = }""")








from __future__ import annotations

A      :    Union[str, Any]		=					{
    "A": ["B", "C", "E"],
    "B": ["A", "D", "E"],
    "C": ["A", "F", "G"],
    "D": ["B"],
    "E": ["A", "B", "D"],
    "F": ["C"],
    "G": ["C"],
}







class 			_lowercase :


       """simple docstring"""




       def __init__(   self							:			Tuple					,      __lowerCamelCase							:			dict[str, list[str]]					,      __lowerCamelCase							:			str       ):


             '''simple docstring'''



             lowerCamelCase__		:				Union[str, Any]    =  graph
             # mapping node to its parent in resulting breadth first tree
             lowerCamelCase__		:				dict[str, str | None]    =  {}
             lowerCamelCase__		:				Dict    =  source_vertex





       def 						lowerCAmelCase     (   self							:			Any       ):


             '''simple docstring'''



             lowerCamelCase__		:				int    =  {self.source_vertex}
             lowerCamelCase__		:				Optional[int]    =  None
             lowerCamelCase__		:				Dict    =  [self.source_vertex]  # first in first out queue

             while queue:
                   lowerCamelCase__		:				Optional[int]    =  queue.pop(0       )
                   for adjacent_vertex in self.graph[vertex]:
                         if adjacent_vertex not in visited:
                               visited.add(__lowerCamelCase       )
                               lowerCamelCase__		:				List[str]    =  vertex
                               queue.append(__lowerCamelCase       )





       def 						lowerCAmelCase     (   self							:			Optional[Any]					,      __lowerCamelCase							:			str       ):


             '''simple docstring'''



             if target_vertex == self.source_vertex:
                   return self.source_vertex

             lowerCamelCase__		:				Tuple    =  self.parent.get(__lowerCamelCase       )
             if target_vertex_parent is None:
                   lowerCamelCase__		:				Tuple    =  (
                       f"No path from vertex: {self.source_vertex} to vertex: {target_vertex}"
                   )
                   raise ValueError(__lowerCamelCase       )

             return self.shortest_path(__lowerCamelCase       ) + f"->{target_vertex}"


if __name__ == "__main__":
    A      :    List[str]		=					Graph(graph, "G")
    g.breath_first_search()
    print(g.shortest_path("D"))
    print(g.shortest_path("G"))
    print(g.shortest_path("Foo"))


