



from ..utils import DummyObject, requires_backends






class 	_a			(      metaclass=_lowerCamelCase  ):
			_UpperCamelCase:   List[str]	     =		["torch", "transformers", "invisible_watermark"]






			def __init__(    self    ,  *lowercase_    ,  **lowercase_ )	->					Dict:
									requires_backends(self    ,  ["""torch""", """transformers""", """invisible_watermark"""] )






			@classmethod
			def 							_snake_case   (    cls    ,  *lowercase_    ,  **lowercase_ )	->					List[str]:
									requires_backends(cls    ,  ["""torch""", """transformers""", """invisible_watermark"""] )






			@classmethod
			def 							_snake_case   (    cls    ,  *lowercase_    ,  **lowercase_ )	->					List[Any]:
									requires_backends(cls    ,  ["""torch""", """transformers""", """invisible_watermark"""] )






class 	_a			(      metaclass=_lowerCamelCase  ):
			_UpperCamelCase:   Tuple	     =		["torch", "transformers", "invisible_watermark"]






			def __init__(    self    ,  *lowercase_    ,  **lowercase_ )	->					str:
									requires_backends(self    ,  ["""torch""", """transformers""", """invisible_watermark"""] )






			@classmethod
			def 							_snake_case   (    cls    ,  *lowercase_    ,  **lowercase_ )	->					Any:
									requires_backends(cls    ,  ["""torch""", """transformers""", """invisible_watermark"""] )






			@classmethod
			def 							_snake_case   (    cls    ,  *lowercase_    ,  **lowercase_ )	->					Any:
									requires_backends(cls    ,  ["""torch""", """transformers""", """invisible_watermark"""] )









'''simple docstring'''





from math import cos, sin






def  lowerCamelCase_  (     lowercase__):
 lowerCamelCase__	=  float(lowercase__)
 return [[scaling_factor * int(x == y) for x in range(2)] for y in range(2)]






def  lowerCamelCase_  (     lowercase__):
 lowerCamelCase__	,						lowerCamelCase__	=  cos(lowercase__), sin(lowercase__)
 return [[c, -s], [s, c]]






def  lowerCamelCase_  (     lowercase__):
 lowerCamelCase__	,						lowerCamelCase__	=  cos(lowercase__), sin(lowercase__)
 lowerCamelCase__	=  c * s
 return [[c * c, cs], [cs, s * s]]






def  lowerCamelCase_  (     lowercase__):
 lowerCamelCase__	,						lowerCamelCase__	=  cos(lowercase__), sin(lowercase__)
 lowerCamelCase__	=  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) = }""")

