



from dataclasses import dataclass
from typing import Optional, Tuple, Union

import flax
import jax.numpy as jnp
from jax import random

from ..configuration_utils import ConfigMixin, register_to_config
from ..utils import BaseOutput
from .scheduling_utils_flax import FlaxSchedulerMixin



@flax.struct.dataclass
class 						lowercase__      :

     """simple docstring"""






     __UpperCamelCase    :	Optional[Any]		=       None
     __UpperCamelCase    :	Optional[int]		=       None
     __UpperCamelCase    :	List[Any]		=       None  # sigma(t_i)


     @classmethod
     def 		lowercase   ( cls :	Dict ):
      return cls()



@dataclass
class 						lowercase__      (__snake_case						):

     """simple docstring"""






     __UpperCamelCase    :	Union[str, Any]		=       4_2
     __UpperCamelCase    :	Optional[int]		=       4_2
     __UpperCamelCase    :	int		=       4_2



class 						lowercase__      (__snake_case						,      __snake_case						):

     """simple docstring"""






     @property
     def 		lowercase   ( self :	str ):
      return True


     @register_to_config
     def __init__( self :	Dict   ,			__a :	str = 0.02   ,			__a :	List[Any] = 1_0_0   ,			__a :	Optional[int] = 1.007   ,			__a :	List[Any] = 8_0   ,			__a :	Union[str, Any] = 0.05   ,			__a :	Union[str, Any] = 5_0   ,			):
      pass


     def 		lowercase   ( self :	int ):
      return KarrasVeSchedulerState.create()


     def 		lowercase   ( self :	int   ,			__a :	List[str]   ,			__a :	Optional[int]   ,			__a :	Optional[int] = () ):
      snake_case__				:							Tuple      							= jnp.arange(0   ,			lowercase__ )[::-1].copy()
      snake_case__				:							Any      							= [
          (
              self.config.sigma_max**2
              * (self.config.sigma_min**2 / self.config.sigma_max**2) ** (i / (num_inference_steps - 1))
          )
          for i in timesteps
      ]

      return state.replace(
          num_inference_steps=lowercase__   ,			schedule=jnp.array(lowercase__   ,			dtype=jnp.floataa )   ,			timesteps=lowercase__   ,			)


     def 		lowercase   ( self :	Any   ,			__a :	Tuple   ,			__a :	List[str]   ,			__a :	Any   ,			__a :	Tuple   ,			):



      if self.config.s_min <= sigma <= self.config.s_max:
       snake_case__				:							List[Any]      							= min(self.config.s_churn / state.num_inference_steps   ,			2**0.5 - 1 )
      else:
       snake_case__				:							List[Any]      							= 0

      # sample eps ~ N(0, S_noise^2 * I)
      snake_case__				:							int      							= random.split(lowercase__   ,			num=1 )
      snake_case__				:							List[str]      							= self.config.s_noise * random.normal(key=lowercase__   ,			shape=sample.shape )
      snake_case__				:							Optional[Any]      							= sigma + gamma * sigma
      snake_case__				:							str      							= sample + ((sigma_hat**2 - sigma**2) ** 0.5 * eps)

      return sample_hat, sigma_hat


     def 		lowercase   ( self :	str   ,			__a :	Tuple   ,			__a :	str   ,			__a :	Optional[int]   ,			__a :	Any   ,			__a :	List[str]   ,			__a :	Union[str, Any] = True   ,			):
      snake_case__				:							List[str]      							= sample_hat + sigma_hat * model_output
      snake_case__				:							Any      							= (sample_hat - pred_original_sample) / sigma_hat
      snake_case__				:							Any      							= sample_hat + (sigma_prev - sigma_hat) * derivative

      if not return_dict:
       return (sample_prev, derivative, state)

      return FlaxKarrasVeOutput(prev_sample=lowercase__   ,			derivative=lowercase__   ,			state=lowercase__ )


     def 		lowercase   ( self :	Optional[int]   ,			__a :	List[str]   ,			__a :	Tuple   ,			__a :	Tuple   ,			__a :	Tuple   ,			__a :	int   ,			__a :	str   ,			__a :	int   ,			__a :	Dict = True   ,			):
      snake_case__				:							Tuple      							= sample_prev + sigma_prev * model_output
      snake_case__				:							Union[str, Any]      							= (sample_prev - pred_original_sample) / sigma_prev
      snake_case__				:							Tuple      							= sample_hat + (sigma_prev - sigma_hat) * (0.5 * derivative + 0.5 * derivative_corr)

      if not return_dict:
       return (sample_prev, derivative, state)

      return FlaxKarrasVeOutput(prev_sample=lowercase__   ,			derivative=lowercase__   ,			state=lowercase__ )


     def 		lowercase   ( self :	Dict   ,			__a :	str   ,			__a :	List[str]   ,			__a :	str   ,			__a :	int ):
      raise NotImplementedError()







def      A__					(			__A  :						str     ,				__A  :						str			)					->str:

      if not (isinstance(__A     ,				__A			) and isinstance(__A     ,				__A			)):
            raise ValueError('''longest_common_substring() takes two strings for inputs'''			)

      __A    =len(__A			)
      __A    =len(__A			)

      __A    =[[0] * (texta_length + 1) for _ in range(texta_length + 1			)]
      __A    =0
      __A    =0

      for i in range(1     ,				texta_length + 1			):
            for j in range(1     ,				texta_length + 1			):
                  if texta[i - 1] == texta[j - 1]:
                        __A    =1 + dp[i - 1][j - 1]
                        if dp[i][j] > ans_length:
                              __A    =i
                              __A    =dp[i][j]

      return texta[ans_index - ans_length : ans_index]


if __name__ == "__main__":
   import doctest

   doctest.testmod()


