
"""simple docstring"""






from __future__ import annotations




def       A_  (				__lowercase						,	__lowercase						,	__lowercase						,	__lowercase	):
 if (direction == 1 and array[indexa] > array[indexa]) or (
     direction == 0 and array[indexa] < array[indexa]
 ):
  UpperCamelCase_	,     UpperCamelCase_     :					int   	=array[indexa], array[indexa]




def       A_  (				__lowercase						,	__lowercase						,	__lowercase						,	__lowercase	):
 if length > 1:
  UpperCamelCase_     :					str   	=int(length / 2	)
  for i in range(__lowercase						,	low + middle	):
   comp_and_swap(__lowercase						,	__lowercase						,	i + middle						,	__lowercase	)
  bitonic_merge(__lowercase						,	__lowercase						,	__lowercase						,	__lowercase	)
  bitonic_merge(__lowercase						,	low + middle						,	__lowercase						,	__lowercase	)




def       A_  (				__lowercase						,	__lowercase						,	__lowercase						,	__lowercase	):
 if length > 1:
  UpperCamelCase_     :					Union[str, Any]   	=int(length / 2	)
  bitonic_sort(__lowercase						,	__lowercase						,	__lowercase						,	1	)
  bitonic_sort(__lowercase						,	low + middle						,	__lowercase						,	0	)
  bitonic_merge(__lowercase						,	__lowercase						,	__lowercase						,	__lowercase	)


if __name__ == "__main__":
 __SCREAMING_SNAKE_CASE							=     input('Enter numbers separated by a comma:\n').strip()
 __SCREAMING_SNAKE_CASE							=     [int(item.strip()) for item in user_input.split(',')]

 bitonic_sort(unsorted, 0, len(unsorted), 1)
 print('\nSorted array in ascending order is: ', end='')
 print(*unsorted, sep=', ')

 bitonic_merge(unsorted, 0, len(unsorted), 0)
 print('Sorted array in descending order is: ', end='')
 print(*unsorted, sep=', ')


"""simple docstring"""






import math

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




def       A_  (				__lowercase						,	__lowercase						,	__lowercase = 1						,	__lowercase = 1						,	__lowercase = 1.0e4						,	__lowercase = False						,	__lowercase = 1.0						,	):
 assert timesteps.ndim == 1, "Timesteps should be a 1d-array"
 assert embedding_dim % 2 == 0, F'''Embedding dimension {embedding_dim} should be even'''
 UpperCamelCase_     :					Optional[int]   	=float(embedding_dim // 2	)
 UpperCamelCase_     :					Optional[Any]   	=math.log(max_timescale / min_timescale	) / (num_timescales - freq_shift)
 UpperCamelCase_     :					List[Any]   	=min_timescale * jnp.exp(jnp.arange(__lowercase						,	dtype=jnp.floataa	) * -log_timescale_increment	)
 UpperCamelCase_     :					int   	=jnp.expand_dims(__lowercase						,	1	) * jnp.expand_dims(__lowercase						,	0	)

 # scale embeddings
 UpperCamelCase_     :					List[str]   	=scale * emb

 if flip_sin_to_cos:
  UpperCamelCase_     :					Tuple   	=jnp.concatenate([jnp.cos(__lowercase	), jnp.sin(__lowercase	)]						,	axis=1	)
 else:
  UpperCamelCase_     :					Tuple   	=jnp.concatenate([jnp.sin(__lowercase	), jnp.cos(__lowercase	)]						,	axis=1	)
 UpperCamelCase_     :					List[Any]   	=jnp.reshape(__lowercase						,	[jnp.shape(__lowercase	)[0], embedding_dim]	)
 return signal





class 				a__					(						nn.Module       ):
     UpperCAmelCase__         =      32
     UpperCAmelCase__         =      jnp.floataa



     @nn.compact
     def __call__(							self :Optional[Any]      ,  _lowerCamelCase :List[str]   ):







      '''simple docstring'''



      UpperCamelCase_     :					Dict   	=nn.Dense(self.time_embed_dim      ,  dtype=self.dtype      ,  name='linear_1'   )(_lowerCamelCase   )
      UpperCamelCase_     :					Any   	=nn.silu(_lowerCamelCase   )
      UpperCamelCase_     :					Tuple   	=nn.Dense(self.time_embed_dim      ,  dtype=self.dtype      ,  name='linear_2'   )(_lowerCamelCase   )
      return temb





class 				a__					(						nn.Module       ):
     UpperCAmelCase__         =      32
     UpperCAmelCase__         =      False
     UpperCAmelCase__         =      1



     @nn.compact
     def __call__(							self :Union[str, Any]      ,  _lowerCamelCase :Dict   ):







      '''simple docstring'''



      return get_sinusoidal_embeddings(
          _lowerCamelCase      ,  embedding_dim=self.dim      ,  flip_sin_to_cos=self.flip_sin_to_cos      ,  freq_shift=self.freq_shift   )
