


from math import cos, sin



def 			_a      (    __UpperCamelCase			):
     a_     :  Tuple				      =     float(__UpperCamelCase			)
     return [[scaling_factor * int(x == y			) for x in range(2			)] for y in range(2			)]



def 			_a      (    __UpperCamelCase			):
     a_      ,      a_     :  List[Any]				      =     cos(__UpperCamelCase			), sin(__UpperCamelCase			)
     return [[c, -s], [s, c]]



def 			_a      (    __UpperCamelCase			):
     a_      ,      a_     :  Dict				      =     cos(__UpperCamelCase			), sin(__UpperCamelCase			)
     a_     :  List[Any]				      =     c * s
     return [[c * c, cs], [cs, s * s]]



def 			_a      (    __UpperCamelCase			):
     a_      ,      a_     :  Any				      =     cos(__UpperCamelCase			), sin(__UpperCamelCase			)
     a_     :  Optional[int]				      =     c * s
     return [[2 * c - 1, 2 * cs], [2 * cs, 2 * s - 1]]


print(f'''    {scaling(5) = }''')
print(f'''  {rotation(45) = }''')
print(f'''{projection(45) = }''')
print(f'''{reflection(45) = }''')








def  _lowerCAmelCase     (_lowerCAmelCase ,						_lowerCAmelCase = 2):
					return round((float(_lowerCAmelCase) * 9 / 5) + 32 ,						_lowerCAmelCase)



def  _lowerCAmelCase     (_lowerCAmelCase ,						_lowerCAmelCase = 2):
					return round(float(_lowerCAmelCase) + 273.15 ,						_lowerCAmelCase)



def  _lowerCAmelCase     (_lowerCAmelCase ,						_lowerCAmelCase = 2):
					return round((float(_lowerCAmelCase) * 9 / 5) + 491.67 ,						_lowerCAmelCase)



def  _lowerCAmelCase     (_lowerCAmelCase ,						_lowerCAmelCase = 2):
					return round((float(_lowerCAmelCase) - 32) * 5 / 9 ,						_lowerCAmelCase)



def  _lowerCAmelCase     (_lowerCAmelCase ,						_lowerCAmelCase = 2):
					return round(((float(_lowerCAmelCase) - 32) * 5 / 9) + 273.15 ,						_lowerCAmelCase)



def  _lowerCAmelCase     (_lowerCAmelCase ,						_lowerCAmelCase = 2):
					return round(float(_lowerCAmelCase) + 459.67 ,						_lowerCAmelCase)



def  _lowerCAmelCase     (_lowerCAmelCase ,						_lowerCAmelCase = 2):
					return round(float(_lowerCAmelCase) - 273.15 ,						_lowerCAmelCase)



def  _lowerCAmelCase     (_lowerCAmelCase ,						_lowerCAmelCase = 2):
					return round(((float(_lowerCAmelCase) - 273.15) * 9 / 5) + 32 ,						_lowerCAmelCase)



def  _lowerCAmelCase     (_lowerCAmelCase ,						_lowerCAmelCase = 2):
					return round((float(_lowerCAmelCase) * 9 / 5) ,						_lowerCAmelCase)



def  _lowerCAmelCase     (_lowerCAmelCase ,						_lowerCAmelCase = 2):
					return round((float(_lowerCAmelCase) - 491.67) * 5 / 9 ,						_lowerCAmelCase)



def  _lowerCAmelCase     (_lowerCAmelCase ,						_lowerCAmelCase = 2):
					return round(float(_lowerCAmelCase) - 459.67 ,						_lowerCAmelCase)



def  _lowerCAmelCase     (_lowerCAmelCase ,						_lowerCAmelCase = 2):
					return round((float(_lowerCAmelCase) * 5 / 9) ,						_lowerCAmelCase)



def  _lowerCAmelCase     (_lowerCAmelCase ,						_lowerCAmelCase = 2):
					return round((float(_lowerCAmelCase) * 1.25 + 273.15) ,						_lowerCAmelCase)



def  _lowerCAmelCase     (_lowerCAmelCase ,						_lowerCAmelCase = 2):
					return round((float(_lowerCAmelCase) * 2.25 + 32) ,						_lowerCAmelCase)



def  _lowerCAmelCase     (_lowerCAmelCase ,						_lowerCAmelCase = 2):
					return round((float(_lowerCAmelCase) * 1.25) ,						_lowerCAmelCase)



def  _lowerCAmelCase     (_lowerCAmelCase ,						_lowerCAmelCase = 2):
					return round((float(_lowerCAmelCase) * 2.25 + 32 + 459.67) ,						_lowerCAmelCase)


if __name__ == "__main__":
	import doctest

	doctest.testmod()
