




'''simple docstring'''



from math import cos, sin







def      _UpperCamelCase	(_lowerCamelCase							:       float		)->				list[list[float]]:




     '''simple docstring'''





     __snake_case         =					float(_lowerCamelCase		)
     return [[scaling_factor * int(x == y		) for x in range(2		)] for y in range(2		)]







def      _UpperCamelCase	(_lowerCamelCase							:       float		)->				list[list[float]]:




     '''simple docstring'''





     __snake_case   ,      __snake_case         =					cos(_lowerCamelCase		), sin(_lowerCamelCase		)
     return [[c, -s], [s, c]]







def      _UpperCamelCase	(_lowerCamelCase							:       float		)->				list[list[float]]:




     '''simple docstring'''





     __snake_case   ,      __snake_case         =					cos(_lowerCamelCase		), sin(_lowerCamelCase		)
     __snake_case         =					c * s
     return [[c * c, cs], [cs, s * s]]







def      _UpperCamelCase	(_lowerCamelCase							:       float		)->				list[list[float]]:




     '''simple docstring'''





     __snake_case   ,      __snake_case         =					cos(_lowerCamelCase		), sin(_lowerCamelCase		)
     __snake_case         =					c * s
     return [[2 * c - 1, 2 * cs], [2 * cs, 2 * s - 1]]


print(F"""    {scaling(5) = }""")
print(F"""  {rotation(4_5) = }""")
print(F"""{projection(4_5) = }""")







print(F"""{reflection(4_5) = }""")












'''simple docstring'''



import inspect

from diffusers.utils import is_flax_available
from diffusers.utils.testing_utils import require_flax


if is_flax_available():
     import jax





@require_flax
class       lowerCAmelCase				:


       def  lowerCAmelCase (				self					) ->					int:



            '''simple docstring'''




            __snake_case   ,      __snake_case         =					self.prepare_init_args_and_inputs_for_common()

            __snake_case         =					self.model_class(**__SCREAMING_SNAKE_CASE					)
            __snake_case         =					model.init(inputs_dict['''prng_key''']      ,					inputs_dict['''sample''']					)
            jax.lax.stop_gradient(__SCREAMING_SNAKE_CASE					)

            __snake_case         =					model.apply(__SCREAMING_SNAKE_CASE      ,					inputs_dict['''sample''']					)

            if isinstance(__SCREAMING_SNAKE_CASE      ,					__SCREAMING_SNAKE_CASE					):
                 __snake_case         =					output.sample

            self.assertIsNotNone(__SCREAMING_SNAKE_CASE					)
            __snake_case         =					inputs_dict['''sample'''].shape
            self.assertEqual(output.shape      ,					__SCREAMING_SNAKE_CASE      ,					'''Input and output shapes do not match'''					)


       def  lowerCAmelCase (				self					) ->					Tuple:



            '''simple docstring'''




            __snake_case   ,      __snake_case         =					self.prepare_init_args_and_inputs_for_common()

            __snake_case         =					16
            __snake_case         =					(16, 32)

            __snake_case         =					self.model_class(**__SCREAMING_SNAKE_CASE					)
            __snake_case         =					model.init(inputs_dict['''prng_key''']      ,					inputs_dict['''sample''']					)
            jax.lax.stop_gradient(__SCREAMING_SNAKE_CASE					)

            __snake_case         =					model.apply(__SCREAMING_SNAKE_CASE      ,					inputs_dict['''sample''']					)

            if isinstance(__SCREAMING_SNAKE_CASE      ,					__SCREAMING_SNAKE_CASE					):
                 __snake_case         =					output.sample

            self.assertIsNotNone(__SCREAMING_SNAKE_CASE					)
            __snake_case         =					inputs_dict['''sample'''].shape
            self.assertEqual(output.shape      ,					__SCREAMING_SNAKE_CASE      ,					'''Input and output shapes do not match'''					)




       def  lowerCAmelCase (				self					) ->					str:



            '''simple docstring'''




            __snake_case         =					'''kwargs''' in inspect.signature(self.model_class.__init__					).parameters
            __snake_case         =					len(self.model_class._deprecated_kwargs					) > 0

            if has_kwarg_in_model_class and not has_deprecated_kwarg:
                 raise ValueError(
                     F'''{self.model_class} has `**kwargs` in its __init__ method but has not defined any deprecated kwargs'''
                     ''' under the `_deprecated_kwargs` class attribute. Make sure to either remove `**kwargs` if there are'''
                     ''' no deprecated arguments or add the deprecated argument with `_deprecated_kwargs ='''
                     ''' [<deprecated_argument>]`'''					)

            if not has_kwarg_in_model_class and has_deprecated_kwarg:
                 raise ValueError(
                     F'''{self.model_class} doesn\'t have `**kwargs` in its __init__ method but has defined deprecated kwargs'''
                     ''' under the `_deprecated_kwargs` class attribute. Make sure to either add the `**kwargs` argument to'''
                     F''' {self.model_class}.__init__ if there are deprecated arguments or remove the deprecated argument'''
                     ''' from `_deprecated_kwargs = [<deprecated_argument>]`'''					)






