


'''simple docstring'''






import math

import flax.linen as nn
import jax.numpy as jnp





def      UpperCAmelCase      (		lowerCamelCase_  :jnp.ndarray				,      lowerCamelCase_  :int				,      lowerCamelCase_  :float = 1				,      lowerCamelCase_  :float = 1				,      lowerCamelCase_  :float = 1.0E4				,      lowerCamelCase_  :bool = False				,      lowerCamelCase_  :float = 1.0				,      ):







		'''simple docstring'''
		assert timesteps.ndim == 1, "Timesteps should be a 1d-array"
		assert embedding_dim % 2 == 0, F'''Embedding dimension {embedding_dim} should be even'''
		snake_case_		:							Any			       =						float(embedding_dim // 2 )
		snake_case_		:							int			       =						math.log(max_timescale / min_timescale ) / (num_timescales - freq_shift)
		snake_case_		:							Union[str, Any]			       =						min_timescale * jnp.exp(jnp.arange(lowerCamelCase_				,      dtype=jnp.floataa ) * -log_timescale_increment )
		snake_case_		:							Dict			       =						jnp.expand_dims(lowerCamelCase_				,      1 ) * jnp.expand_dims(lowerCamelCase_				,      0 )

		# scale embeddings
		snake_case_		:							List[Any]			       =						scale * emb

		if flip_sin_to_cos:
				snake_case_		:							Tuple			       =						jnp.concatenate([jnp.cos(lowerCamelCase_ ), jnp.sin(lowerCamelCase_ )]				,      axis=1 )
		else:
				snake_case_		:							Any			       =						jnp.concatenate([jnp.sin(lowerCamelCase_ ), jnp.cos(lowerCamelCase_ )]				,      axis=1 )
		snake_case_		:							List[Any]			       =						jnp.reshape(lowerCamelCase_				,      [jnp.shape(lowerCamelCase_ )[0], embedding_dim] )
		return signal
class 						__UpperCamelCase	(						nn.Module							):
							lowercase			:		int   		=  3_2
							lowercase			:		jnp.dtype   		=  jnp.floataa





							@nn.compact
							def __call__(  self		:Dict  ,_UpperCamelCase		:Tuple			):
									snake_case_		:							str			       =						nn.Dense(self.time_embed_dim  ,dtype=self.dtype  ,name="""linear_1"""			)(_UpperCamelCase			)
									snake_case_		:							Any			       =						nn.silu(_UpperCamelCase			)
									snake_case_		:							int			       =						nn.Dense(self.time_embed_dim  ,dtype=self.dtype  ,name="""linear_2"""			)(_UpperCamelCase			)
									return temb





class 						__UpperCamelCase	(						nn.Module							):
							lowercase			:		int   		=  3_2
							lowercase			:		bool   		=  False
							lowercase			:		float   		=  1





							@nn.compact
							def __call__(  self		:Union[str, Any]  ,_UpperCamelCase		:List[str]			):
									return get_sinusoidal_embeddings(
									    _UpperCamelCase  ,embedding_dim=self.dim  ,flip_sin_to_cos=self.flip_sin_to_cos  ,freq_shift=self.freq_shift			)



'''simple docstring'''






def      UpperCAmelCase      (		lowerCamelCase_  :int ):







		'''simple docstring'''
		if num < 0:
				return False

		snake_case_		:							int			       =						num
		snake_case_		:							int			       =						0
		while num > 0:
				snake_case_		:							Tuple			       =						rev_num * 10 + (num % 10)
				num //= 10

		return num_copy == rev_num


if __name__ == "__main__":
							import doctest

							doctest.testmod()