

'''simple docstring'''



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			:



			'''simple docstring'''






			__snake_case        =	None
			__snake_case        =	None
			__snake_case        =	None  # sigma(t_i)


			@classmethod
			def lowercase__						(				cls	:						List[Any]			)      ->		List[Any]:





									'''simple docstring'''
									return cls()



@dataclass
class lowerCamelCase			(  UpperCAmelCase_						):



			'''simple docstring'''






			__snake_case        =	42
			__snake_case        =	42
			__snake_case        =	42



class lowerCamelCase			(  UpperCAmelCase_	,						UpperCAmelCase_						):



			'''simple docstring'''






			@property
			def lowercase__						(				self	:						List[Any]			)      ->		List[str]:





									'''simple docstring'''
									return True


			@register_to_config
			def __init__(				self	:						int		,      lowerCAmelCase_	:						str = 0.02		,      lowerCAmelCase_	:						Union[str, Any] = 1_00		,      lowerCAmelCase_	:						Tuple = 1.007		,      lowerCAmelCase_	:						str = 80		,      lowerCAmelCase_	:						Dict = 0.05		,      lowerCAmelCase_	:						Optional[int] = 50		,      )      ->		Tuple:





									'''simple docstring'''
									pass


			def lowercase__						(				self	:						Dict			)      ->		int:





									'''simple docstring'''
									return KarrasVeSchedulerState.create()


			def lowercase__						(				self	:						Any		,      lowerCAmelCase_	:						Any		,      lowerCAmelCase_	:						Optional[int]		,      lowerCAmelCase_	:						Optional[int] = ()			)      ->		KarrasVeSchedulerState:





									'''simple docstring'''
									A__					:       Optional[Any]     =jnp.arange(0		,      __lowercase			)[::-1].copy()
									A__					:       List[str]     =[
									    (
									        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	:						Union[str, Any]		,      lowerCAmelCase_	:						int		,      lowerCAmelCase_	:						List[Any]		,      lowerCAmelCase_	:						Optional[int]		,      lowerCAmelCase_	:						Optional[Any]		,      )      ->		Tuple[jnp.ndarray, float]:





									'''simple docstring'''
									if self.config.s_min <= sigma <= self.config.s_max:
															A__					:       Any     =min(self.config.s_churn / state.num_inference_steps		,      2**0.5 - 1			)
									else:
															A__					:       Any     =0

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

									return sample_hat, sigma_hat


			def lowercase__						(				self	:						Tuple		,      lowerCAmelCase_	:						Optional[int]		,      lowerCAmelCase_	:						Dict		,      lowerCAmelCase_	:						Optional[Any]		,      lowerCAmelCase_	:						Tuple		,      lowerCAmelCase_	:						Tuple		,      lowerCAmelCase_	:						str = True		,      )      ->		Union[FlaxKarrasVeOutput, Tuple]:





									'''simple docstring'''
									A__					:       Optional[Any]     =sample_hat + sigma_hat * model_output
									A__					:       Tuple     =(sample_hat - pred_original_sample) / sigma_hat
									A__					:       str     =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	:						Any		,      lowerCAmelCase_	:						Optional[int]		,      lowerCAmelCase_	:						Dict		,      lowerCAmelCase_	:						Optional[int]		,      lowerCAmelCase_	:						Any		,      lowerCAmelCase_	:						Tuple		,      lowerCAmelCase_	:						List[str]		,      lowerCAmelCase_	:						Any		,      lowerCAmelCase_	:						Optional[int] = True		,      )      ->		Union[FlaxKarrasVeOutput, Tuple]:





									'''simple docstring'''
									A__					:       int     =sample_prev + sigma_prev * model_output
									A__					:       Dict     =(sample_prev - pred_original_sample) / sigma_prev
									A__					:       Any     =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		,      lowerCAmelCase_	:						str		,      lowerCAmelCase_	:						str		,      lowerCAmelCase_	:						int		,      lowerCAmelCase_	:						List[Any]			)      ->		Tuple:





									'''simple docstring'''
									raise NotImplementedError()









'''simple docstring'''



from __future__ import annotations

from typing import Any



class lowerCamelCase			:



			'''simple docstring'''






			def __init__(				self	:						List[str]		,      lowerCAmelCase_	:						int			)      ->		None:





									'''simple docstring'''
									A__					:       Any     =num_of_nodes
									A__					:       list[list[int]]     =[]
									A__					:       dict[int, int]     ={}


			def lowercase__						(				self	:						Optional[Any]		,      lowerCAmelCase_	:						int		,      lowerCAmelCase_	:						int		,      lowerCAmelCase_	:						int			)      ->		None:





									'''simple docstring'''
									self.m_edges.append([u_node, v_node, weight]			)


			def lowercase__						(				self	:						int		,      lowerCAmelCase_	:						int			)      ->		int:





									'''simple docstring'''

									if self.m_component[u_node] == u_node:
															return u_node
									return self.find_component(self.m_component[u_node]			)


			def lowercase__						(				self	:						Optional[int]		,      lowerCAmelCase_	:						int			)      ->		None:





									'''simple docstring'''

									if self.m_component[u_node] != u_node:
															for k in self.m_component:
																					A__					:       str     =self.find_component(lowerCAmelCase_			)


			def lowercase__						(				self	:						int		,      lowerCAmelCase_	:						list[int]		,      lowerCAmelCase_	:						int		,      lowerCAmelCase_	:						int			)      ->		None:





									'''simple docstring'''

									if component_size[u_node] <= component_size[v_node]:
															A__					:       int     =v_node
															component_size[v_node] += component_size[u_node]
															self.set_component(lowerCAmelCase_			)

									elif component_size[u_node] >= component_size[v_node]:
															A__					:       List[str]     =self.find_component(lowerCAmelCase_			)
															component_size[u_node] += component_size[v_node]
															self.set_component(lowerCAmelCase_			)



			def lowercase__						(				self	:						str			)      ->		None:





									'''simple docstring'''
									A__					:       Union[str, Any]     =[]
									A__					:       List[str]     =0

									A__					:       list[Any]     =[-1] * self.m_num_of_nodes

									# A list of components (initialized to all of the nodes)
									for node in range(self.m_num_of_nodes			):
															self.m_component.update({node: node}			)
															component_size.append(1			)

									A__					:       List[str]     =self.m_num_of_nodes

									while num_of_components > 1:
															for edge in self.m_edges:
																					A__   ,						A__   ,						A__					:       Any     =edge

																					A__					:       Tuple     =self.m_component[u]
																					A__					:       Optional[Any]     =self.m_component[v]

																					if u_component != v_component:

																											for component in (u_component, v_component):
																																	if (
																																	    minimum_weight_edge[component] == -1
																																	    or minimum_weight_edge[component][2] > w
																																	):
																																							A__					:       Optional[int]     =[u, v, w]

															for edge in minimum_weight_edge:
																					if isinstance(lowerCAmelCase_		,      lowerCAmelCase_			):
																											A__   ,						A__   ,						A__					:       Tuple     =edge

																											A__					:       Any     =self.m_component[u]
																											A__					:       Optional[Any]     =self.m_component[v]

																											if u_component != v_component:
																																	mst_weight += w
																																	self.union(lowerCAmelCase_		,      lowerCAmelCase_		,      lowerCAmelCase_			)
																																	print(f"Added edge [{u} - {v}]\nAdded weight: {w}\n"			)
																																	num_of_components -= 1

															A__					:       int     =[-1] * self.m_num_of_nodes
									print(f"The total weight of the minimal spanning tree is: {mst_weight}"			)


def 						__lowerCamelCase	(       )	->							None:






						"""simple docstring"""







if __name__ == "__main__":
		import doctest

		doctest.testmod()

