
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   lowerCamelCase	:
     # setable values
     UpperCAmelCase__       :							Optional[int]     =	None
     UpperCAmelCase__       :							Optional[jnp.ndarray]     =	None
     UpperCAmelCase__       :							Optional[jnp.ndarray]     =	None  # sigma(t_i)





     @classmethod
     def 	UpperCAmelCase(cls   :					Optional[Any]     )		->		str:
         return cls()







@dataclass
class   lowerCamelCase	(						A_						):
     UpperCAmelCase__       :							jnp.ndarray
     UpperCAmelCase__       :							jnp.ndarray
     UpperCAmelCase__       :							KarrasVeSchedulerState







class   lowerCamelCase	(						A_							,				A_						):





     @property
     def 	UpperCAmelCase(self   :					Optional[int]     )		->		Any:
         return True





     @register_to_config
     def __init__(self   :					str       ,					_A   :					float = 0.02       ,					_A   :					float = 1_0_0       ,					_A   :					float = 1.0_07       ,					_A   :					float = 8_0       ,					_A   :					float = 0.05       ,					_A   :					float = 5_0       ,					)		->		int:
         pass





     def 	UpperCAmelCase(self   :					int     )		->		Optional[Any]:
         return KarrasVeSchedulerState.create()





     def 	UpperCAmelCase(self   :					Union[str, Any]       ,					_A   :					KarrasVeSchedulerState       ,					_A   :					int       ,					_A   :					Tuple = ()     )		->		KarrasVeSchedulerState:
         snake_case				  =      jnp.arange(0       ,					_A     )[::-1].copy()
         snake_case				  =      [
             (
                 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=_A       ,					schedule=jnp.array(_A       ,					dtype=jnp.floataa     )       ,					timesteps=_A       ,					)





     def 	UpperCAmelCase(self   :					int       ,					_A   :					KarrasVeSchedulerState       ,					_A   :					jnp.ndarray       ,					_A   :					float       ,					_A   :					random.KeyArray       ,					)		->		Tuple[jnp.ndarray, float]:
         if self.config.s_min <= sigma <= self.config.s_max:
             snake_case				  =      min(self.config.s_churn / state.num_inference_steps       ,					2**0.5 - 1     )
         else:
             snake_case				  =      0

         # sample eps ~ N(0, S_noise^2 * I)
         snake_case				  =      random.split(_A       ,					num=1     )
         snake_case				  =      self.config.s_noise * random.normal(key=_A       ,					shape=sample.shape     )
         snake_case				  =      sigma + gamma * sigma
         snake_case				  =      sample + ((sigma_hat**2 - sigma**2) ** 0.5 * eps)

         return sample_hat, sigma_hat





     def 	UpperCAmelCase(self   :					int       ,					_A   :					KarrasVeSchedulerState       ,					_A   :					jnp.ndarray       ,					_A   :					float       ,					_A   :					float       ,					_A   :					jnp.ndarray       ,					_A   :					bool = True       ,					)		->		Union[FlaxKarrasVeOutput, Tuple]:
         snake_case				  =      sample_hat + sigma_hat * model_output
         snake_case				  =      (sample_hat - pred_original_sample) / sigma_hat
         snake_case				  =      sample_hat + (sigma_prev - sigma_hat) * derivative

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

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





     def 	UpperCAmelCase(self   :					str       ,					_A   :					KarrasVeSchedulerState       ,					_A   :					jnp.ndarray       ,					_A   :					float       ,					_A   :					float       ,					_A   :					jnp.ndarray       ,					_A   :					jnp.ndarray       ,					_A   :					jnp.ndarray       ,					_A   :					bool = True       ,					)		->		Union[FlaxKarrasVeOutput, Tuple]:
         snake_case				  =      sample_prev + sigma_prev * model_output
         snake_case				  =      (sample_prev - pred_original_sample) / sigma_prev
         snake_case				  =      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=_A       ,					derivative=_A       ,					state=_A     )





     def 	UpperCAmelCase(self   :					Optional[Any]       ,					_A   :					KarrasVeSchedulerState       ,					_A   :					Optional[Any]       ,					_A   :					List[Any]       ,					_A   :					str     )		->		List[str]:
         raise NotImplementedError()



_A						      =				0  # The first color of the flag.
_A						      =				1  # The second color of the flag.
_A						      =				2  # The third color of the flag.
_A						      =				(red, white, blue)



def 		lowercase_    (     A__	)							->							list:
    """simple docstring"""

    if not sequence:
        return []
    if len(A__	) == 1:
        return list(A__	)
    snake_case				  =      0
    snake_case				  =      len(A__	) - 1
    snake_case				  =      0
    while mid <= high:
        if sequence[mid] == colors[0]:
            snake_case  ,							snake_case				  =      sequence[mid], sequence[low]
            low += 1
            mid += 1
        elif sequence[mid] == colors[1]:
            mid += 1
        elif sequence[mid] == colors[2]:
            snake_case  ,							snake_case				  =      sequence[high], sequence[mid]
            high -= 1
        else:
            snake_case				  =      F'The elements inside the sequence must contains only {colors} values'
            raise ValueError(A__	)
    return sequence


if __name__ == "__main__":
   import doctest

   doctest.testmod()

   _A						      =				input("Enter numbers separated by commas:\n").strip()
   _A						      =				[int(item.strip()) for item in user_input.split(",")]
   print(f"{dutch_national_flag_sort(unsorted)}")

