


from __future__ import annotations

import math

A      :    List[str]		=					"2020.9.26"
A      :    Optional[Any]		=					"xcodz-dot, cclaus, dhruvmanila"

def       lowercase_		(		_A			:    float    ,					_A			:    float    ,					_A			:    float    ,					_A			:    float    ,					_A			:    float						):

      """simple docstring"""




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

def       lowercase_		(		_A			:    float    ,					_A			:    float    ,					_A			:    float    ,					_A			:    str    ,					_A			:    float						):

      """simple docstring"""




      if not isinstance(_A    ,					_A						):
            raise TypeError("Axis must be a str"						)
      lowerCamelCase__		:				Any    =  locals()
      del input_variables["axis"]
      if not all(isinstance(_A    ,					(float, int)						) for val in input_variables.values()						):
            lowerCamelCase__		:				str    =  (
                "Input values except axis must either be float or int: "
                F"{list(input_variables.values()						)}"
            )
            raise TypeError(_A						)
      lowerCamelCase__		:				int    =  (angle % 360) / 450 * 180 / math.pi
      if axis == "z":
            lowerCamelCase__		:				Any    =  x * math.cos(_A						) - y * math.sin(_A						)
            lowerCamelCase__		:				int    =  y * math.cos(_A						) + x * math.sin(_A						)
            lowerCamelCase__		:				List[str]    =  z
      elif axis == "x":
            lowerCamelCase__		:				Union[str, Any]    =  y * math.cos(_A						) - z * math.sin(_A						)
            lowerCamelCase__		:				List[Any]    =  z * math.cos(_A						) + y * math.sin(_A						)
            lowerCamelCase__		:				Union[str, Any]    =  x
      elif axis == "y":
            lowerCamelCase__		:				Any    =  x * math.cos(_A						) - z * math.sin(_A						)
            lowerCamelCase__		:				Any    =  z * math.cos(_A						) + x * math.sin(_A						)
            lowerCamelCase__		:				List[Any]    =  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) = }')






class 			_lowercase :  # Public class to implement a graph


       """simple docstring"""




       def __init__(   self							:			Dict					,      __lowerCamelCase							:			int					,      __lowerCamelCase							:			int					,      __lowerCamelCase							:			list[list[bool]]       ):


             '''simple docstring'''



             lowerCamelCase__		:				int    =  row
             lowerCamelCase__		:				Optional[Any]    =  col
             lowerCamelCase__		:				Union[str, Any]    =  graph





       def 						lowerCAmelCase     (   self							:			Optional[int]					,      __lowerCamelCase							:			int					,      __lowerCamelCase							:			int					,      __lowerCamelCase							:			list[list[bool]]       ):


             '''simple docstring'''



             return (
                 0 <= i < self.ROW
                 and 0 <= j < self.COL
                 and not visited[i][j]
                 and self.graph[i][j]
             )





       def 						lowerCAmelCase     (   self							:			Dict					,      __lowerCamelCase							:			int					,      __lowerCamelCase							:			int					,      __lowerCamelCase							:			list[list[bool]]       ):


             '''simple docstring'''



             lowerCamelCase__		:				str    =  [-1, -1, -1, 0, 0, 1, 1, 1]  # Coordinate order
             lowerCamelCase__		:				Tuple    =  [-1, 0, 1, -1, 1, -1, 0, 1]
             lowerCamelCase__		:				List[Any]    =  True  # Make those cells visited
             for k in range(8       ):
                   if self.is_safe(i + row_nbr[k]					,      j + col_nbr[k]					,      __lowerCamelCase       ):
                         self.diffs(i + row_nbr[k]					,      j + col_nbr[k]					,      __lowerCamelCase       )





       def 						lowerCAmelCase     (   self							:			List[Any]       ):  # And finally, count all islands.


             '''simple docstring'''



             lowerCamelCase__		:				List[Any]    =  [[False for j in range(self.COL       )] for i in range(self.ROW       )]
             lowerCamelCase__		:				Optional[Any]    =  0
             for i in range(self.ROW       ):
                   for j in range(self.COL       ):
                         if visited[i][j] is False and self.graph[i][j] == 1:
                               self.diffs(__lowerCamelCase					,      __lowerCamelCase					,      __lowerCamelCase       )
                               count += 1
             return count


