from __future__ import annotations

import math

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



def lowerCamelCase  (   SCREAMING_SNAKE_CASE  ,			SCREAMING_SNAKE_CASE  ,			SCREAMING_SNAKE_CASE  ,			SCREAMING_SNAKE_CASE  ,			SCREAMING_SNAKE_CASE	):
    '''simple docstring'''







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



def lowerCamelCase  (   SCREAMING_SNAKE_CASE  ,			SCREAMING_SNAKE_CASE  ,			SCREAMING_SNAKE_CASE  ,			SCREAMING_SNAKE_CASE  ,			SCREAMING_SNAKE_CASE	):
    '''simple docstring'''







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









from maths.prime_factors import prime_factors
def 				__lowerCamelCase						( UpperCAmelCase_						:		int						):




      """simple docstring"""





      if not isinstance(UpperCAmelCase_ ,  UpperCAmelCase_						):
            a						:Dict 							=       F'''Input value of [number={number}] must be an integer'''
            raise TypeError(UpperCAmelCase_						)
      if number < 1:
            raise ValueError('''Input must be a positive integer'''						)
      return -1 if len(prime_factors(UpperCAmelCase_						)						) % 2 else 1


if __name__ == "__main__":
     import doctest

     doctest.testmod()





