



import importlib
import math
import os
from dataclasses import dataclass
from enum import Enum
from typing import Any, Dict, Optional, Tuple, Union

import flax
import jax.numpy as jnp

from ..utils import BaseOutput


snake_case__					:     str    		=   """scheduler_config.json"""

class   _A   ( _lowercase	):


						'''simple docstring'''





						_snake_case			:     Union[str, Any]      							=      1
						_snake_case			:     int      							=      2
						_snake_case			:     Optional[int]      							=      3
						_snake_case			:     Optional[int]      							=      4
						_snake_case			:     int      							=      5

@dataclass
class   _A   ( _lowercase	):


						'''simple docstring'''





						_snake_case			:     jnp.ndarray

class   _A   :


						'''simple docstring'''





						_snake_case			:     Optional[int]      							=      SCHEDULER_CONFIG_NAME
						_snake_case			:     Dict      							=      ["""dtype"""]
						_snake_case			:     Dict      							=      []
						_snake_case			:     Union[str, Any]      							=      True



						@classmethod
						def     _snake_case	(	cls	:							Dict							,      lowerCamelCase	:							Dict[str, Any] = None							,      lowerCamelCase	:							Optional[str] = None							,      lowerCamelCase	:							Optional[Any]=False							,      **lowerCamelCase	:							Union[str, Any]							,      ):






							'''simple docstring'''



							__lowercase       ,    __lowercase		       =			cls.load_config(
							    pretrained_model_name_or_path=lowerCamelCase							,      subfolder=lowerCamelCase							,      return_unused_kwargs=lowerCamelCase							,      **lowerCamelCase							,      )
							__lowercase       ,    __lowercase		       =			cls.from_config(lowerCamelCase							,      return_unused_kwargs=lowerCamelCase							,      **lowerCamelCase	)

							if hasattr(lowerCamelCase							,      "create_state"	) and getattr(lowerCamelCase							,      "has_state"							,      lowerCamelCase	):
								__lowercase		       =			scheduler.create_state()

							if return_unused_kwargs:
								return scheduler, state, unused_kwargs

							return scheduler, state



						def     _snake_case	(	self	:							List[str]							,      lowerCamelCase	:							Union[str, os.PathLike]							,      lowerCamelCase	:							bool = False							,      **lowerCamelCase	:							List[str]	):






							'''simple docstring'''



							self.save_config(save_directory=lowerCamelCase							,      push_to_hub=lowerCamelCase							,      **lowerCamelCase	)



						@property
						def     _snake_case	(	self	:							int	):






							'''simple docstring'''



							return self._get_compatibles()



						@classmethod
						def     _snake_case	(	cls	:							Union[str, Any]	):






							'''simple docstring'''



							__lowercase		       =			list(set([cls.__name__] + cls._compatibles	)	)
							__lowercase		       =			importlib.import_module(__name__.split("."	)[0]	)
							__lowercase		       =			[
							    getattr(lowerCamelCase							,      lowerCamelCase	) for c in compatible_classes_str if hasattr(lowerCamelCase							,      lowerCamelCase	)
							]
							return compatible_classes



def    snake_case_				(    _SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE   ):
	assert len(_SCREAMING_SNAKE_CASE   ) >= x.ndim
	return jnp.broadcast_to(x.reshape(x.shape + (1,) * (len(_SCREAMING_SNAKE_CASE   ) - x.ndim)   )  ,	_SCREAMING_SNAKE_CASE   )



def    snake_case_				(    _SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE=0.9_9_9  ,	_SCREAMING_SNAKE_CASE=jnp.floataa   ):

	def alpha_bar(_SCREAMING_SNAKE_CASE   ):
		return math.cos((time_step + 0.0_0_8) / 1.0_0_8 * math.pi / 2   ) ** 2

	__lowercase		       =			[]
	for i in range(_SCREAMING_SNAKE_CASE   ):
		__lowercase		       =			i / num_diffusion_timesteps
		__lowercase		       =			(i + 1) / num_diffusion_timesteps
		betas.append(min(1 - alpha_bar(_SCREAMING_SNAKE_CASE   ) / alpha_bar(_SCREAMING_SNAKE_CASE   )  ,	_SCREAMING_SNAKE_CASE   )   )
	return jnp.array(_SCREAMING_SNAKE_CASE  ,	dtype=_SCREAMING_SNAKE_CASE   )

@flax.struct.dataclass
class   _A   :


						'''simple docstring'''





						_snake_case			:     jnp.ndarray
						_snake_case			:     jnp.ndarray
						_snake_case			:     jnp.ndarray



						@classmethod
						def     _snake_case	(	cls	:							str							,      lowerCamelCase	:							Any	):






							'''simple docstring'''



							__lowercase		       =			scheduler.config

							if config.trained_betas is not None:
								__lowercase		       =			jnp.asarray(config.trained_betas							,      dtype=scheduler.dtype	)
							elif config.beta_schedule == "linear":
								__lowercase		       =			jnp.linspace(config.beta_start							,      config.beta_end							,      config.num_train_timesteps							,      dtype=scheduler.dtype	)
							elif config.beta_schedule == "scaled_linear":
								# this schedule is very specific to the latent diffusion model.
								__lowercase		       =			(
								    jnp.linspace(
								        config.beta_start**0.5							,      config.beta_end**0.5							,      config.num_train_timesteps							,      dtype=scheduler.dtype	)
								    ** 2
								)
							elif config.beta_schedule == "squaredcos_cap_v2":
								# Glide cosine schedule
								__lowercase		       =			betas_for_alpha_bar(config.num_train_timesteps							,      dtype=scheduler.dtype	)
							else:
								raise NotImplementedError(
								    f"""beta_schedule {config.beta_schedule} is not implemented for scheduler {scheduler.__class__.__name__}"""	)

							__lowercase		       =			1.0 - betas

							__lowercase		       =			jnp.cumprod(lowerCamelCase							,      axis=0	)

							return cls(
							    alphas=lowerCamelCase							,      betas=lowerCamelCase							,      alphas_cumprod=lowerCamelCase							,      )



def    snake_case_				(    _SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE   ):
	__lowercase		       =			state.alphas_cumprod

	__lowercase		       =			alphas_cumprod[timesteps] ** 0.5
	__lowercase		       =			sqrt_alpha_prod.flatten()
	__lowercase		       =			broadcast_to_shape_from_left(_SCREAMING_SNAKE_CASE  ,	original_samples.shape   )

	__lowercase		       =			(1 - alphas_cumprod[timesteps]) ** 0.5
	__lowercase		       =			sqrt_one_minus_alpha_prod.flatten()
	__lowercase		       =			broadcast_to_shape_from_left(_SCREAMING_SNAKE_CASE  ,	original_samples.shape   )

	return sqrt_alpha_prod, sqrt_one_minus_alpha_prod



def    snake_case_				(    _SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE   ):
	__lowercase       ,    __lowercase		       =			get_sqrt_alpha_prod(_SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE   )
	__lowercase		       =			sqrt_alpha_prod * original_samples + sqrt_one_minus_alpha_prod * noise
	return noisy_samples



def    snake_case_				(    _SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE   ):
	__lowercase       ,    __lowercase		       =			get_sqrt_alpha_prod(_SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE   )
	__lowercase		       =			sqrt_alpha_prod * noise - sqrt_one_minus_alpha_prod * sample
	return velocity








from __future__ import annotations

import bisect



def    snake_case_				(    _SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE = 0  ,	_SCREAMING_SNAKE_CASE = -1   ):
	if hi < 0:
		__lowercase		       =			len(_SCREAMING_SNAKE_CASE   )

	while lo < hi:
		__lowercase		       =			lo + (hi - lo) // 2
		if sorted_collection[mid] < item:
			__lowercase		       =			mid + 1
		else:
			__lowercase		       =			mid

	return lo



def    snake_case_				(    _SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE = 0  ,	_SCREAMING_SNAKE_CASE = -1   ):
	if hi < 0:
		__lowercase		       =			len(_SCREAMING_SNAKE_CASE   )

	while lo < hi:
		__lowercase		       =			lo + (hi - lo) // 2
		if sorted_collection[mid] <= item:
			__lowercase		       =			mid + 1
		else:
			__lowercase		       =			mid

	return lo



def    snake_case_				(    _SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE = 0  ,	_SCREAMING_SNAKE_CASE = -1   ):
	sorted_collection.insert(bisect_left(_SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE   )  ,	_SCREAMING_SNAKE_CASE   )



def    snake_case_				(    _SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE = 0  ,	_SCREAMING_SNAKE_CASE = -1   ):
	sorted_collection.insert(bisect_right(_SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE   )  ,	_SCREAMING_SNAKE_CASE   )



def    snake_case_				(    _SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE   ):
	__lowercase		       =			0
	__lowercase		       =			len(_SCREAMING_SNAKE_CASE   ) - 1

	while left <= right:
		__lowercase		       =			left + (right - left) // 2
		__lowercase		       =			sorted_collection[midpoint]
		if current_item == item:
			return midpoint
		elif item < current_item:
			__lowercase		       =			midpoint - 1
		else:
			__lowercase		       =			midpoint + 1
	return None



def    snake_case_				(    _SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE   ):
	__lowercase		       =			bisect.bisect_left(_SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE   )
	if index != len(_SCREAMING_SNAKE_CASE   ) and sorted_collection[index] == item:
		return index
	return None



def    snake_case_				(    _SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE   ):
	if right < left:
		return None

	__lowercase		       =			left + (right - left) // 2

	if sorted_collection[midpoint] == item:
		return midpoint
	elif sorted_collection[midpoint] > item:
		return binary_search_by_recursion(_SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE  ,	midpoint - 1   )
	else:
		return binary_search_by_recursion(_SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE  ,	midpoint + 1  ,	_SCREAMING_SNAKE_CASE   )


if __name__ == "__main__":
	snake_case__					:     Optional[Any]    		=   input("""Enter numbers separated by comma:\n""").strip()
	snake_case__					:     Any    		=   sorted(int(item) for item in user_input.split(""","""))
	snake_case__					:     Any    		=   int(input("""Enter a single number to be found in the list:\n"""))
	snake_case__					:     List[Any]    		=   binary_search(collection, target)
	if result is None:
		print(F'''{target} was not found in {collection}.''')
	else:
		print(F'''{target} was found at position {result} in {collection}.''')



