'''simple docstring'''


import math
from typing import List, Optional, Tuple, Union

import numpy as np
import torch

from ..configuration_utils import ConfigMixin, register_to_config
from .scheduling_utils import SchedulerMixin, SchedulerOutput






class 					__SCREAMING_SNAKE_CASE						(	lowerCamelCase_						,     lowerCamelCase_	):







  '''simple docstring'''






  lowerCamelCase_		:Union[str, Any]						   =		1


  @register_to_config
  def __init__(			self				,		snake_case_ = 1_0_0_0				,		snake_case_ = None						):




       '''simple docstring'''

       self.set_timesteps(snake_case_						)

       # standard deviation of the initial noise distribution
       UpperCAmelCase_							:       Union[str, Any]       =				1.0

       # For now we only support F-PNDM, i.e. the runge-kutta method
       # For more information on the algorithm please take a look at the paper: https://arxiv.org/pdf/2202.09778.pdf
       # mainly at formula (9), (12), (13) and the Algorithm 2.
       UpperCAmelCase_							:       int       =				4

       # running values
       UpperCAmelCase_							:       str       =				[]


  def _UpperCamelCase					(			self				,		snake_case_				,		snake_case_ = None						):




       '''simple docstring'''

       UpperCAmelCase_							:       Union[str, Any]       =				num_inference_steps
       UpperCAmelCase_							:       int       =				torch.linspace(1				,		0				,		num_inference_steps + 1						)[:-1]
       UpperCAmelCase_							:       Tuple       =				torch.cat([steps, torch.tensor([0.0]						)]						)

       if self.config.trained_betas is not None:
            UpperCAmelCase_							:       Optional[int]       =				torch.tensor(self.config.trained_betas				,		dtype=torch.floataa						)
       else:
            UpperCAmelCase_							:       Tuple       =				torch.sin(steps * math.pi / 2						) ** 2

       UpperCAmelCase_							:       Dict       =				(1.0 - self.betas**2) ** 0.5

       UpperCAmelCase_							:       str       =				(torch.atana(self.betas				,		self.alphas						) / math.pi * 2)[:-1]
       UpperCAmelCase_							:       str       =				timesteps.to(snake_case_						)

       UpperCAmelCase_							:       Any       =				[]


  def _UpperCamelCase					(			self				,		snake_case_				,		snake_case_				,		snake_case_				,		snake_case_ = True				,		):




       '''simple docstring'''

       if self.num_inference_steps is None:
            raise ValueError(
                'Number of inference steps is \'None\', you need to run \'set_timesteps\' after creating the scheduler'						)

       UpperCAmelCase_							:       Any       =				(self.timesteps == timestep).nonzero().item()
       UpperCAmelCase_							:       Optional[Any]       =				timestep_index + 1

       UpperCAmelCase_							:       Dict       =				sample * self.betas[timestep_index] + model_output * self.alphas[timestep_index]
       self.ets.append(snake_case_						)

       if len(self.ets						) == 1:
            UpperCAmelCase_							:       Tuple       =				self.ets[-1]
       elif len(self.ets						) == 2:
            UpperCAmelCase_							:       Any       =				(3 * self.ets[-1] - self.ets[-2]) / 2
       elif len(self.ets						) == 3:
            UpperCAmelCase_							:       List[str]       =				(2_3 * self.ets[-1] - 1_6 * self.ets[-2] + 5 * self.ets[-3]) / 1_2
       else:
            UpperCAmelCase_							:       Union[str, Any]       =				(1 / 2_4) * (5_5 * self.ets[-1] - 5_9 * self.ets[-2] + 3_7 * self.ets[-3] - 9 * self.ets[-4])

       UpperCAmelCase_							:       Union[str, Any]       =				self._get_prev_sample(snake_case_				,		snake_case_				,		snake_case_				,		snake_case_						)

       if not return_dict:
            return (prev_sample,)

       return SchedulerOutput(prev_sample=snake_case_						)


  def _UpperCamelCase					(			self				,		snake_case_				,		*snake_case_				,		**snake_case_						):




       '''simple docstring'''

       return sample


  def _UpperCamelCase					(			self				,		snake_case_				,		snake_case_				,		snake_case_				,		snake_case_						):




       '''simple docstring'''

       UpperCAmelCase_							:       int       =				self.alphas[timestep_index]
       UpperCAmelCase_							:       Union[str, Any]       =				self.betas[timestep_index]

       UpperCAmelCase_							:       Any       =				self.alphas[prev_timestep_index]
       UpperCAmelCase_							:       Dict       =				self.betas[prev_timestep_index]

       UpperCAmelCase_							:       List[Any]       =				(sample - sigma * ets) / max(snake_case_				,		1E-8						)
       UpperCAmelCase_							:       Tuple       =				next_alpha * pred + ets * next_sigma

       return prev_sample






  def __len__(			self						):




       '''simple docstring'''

       return self.config.num_train_timesteps







'''simple docstring'''


import unittest

from transformers.utils.backbone_utils import (
    BackboneMixin,
    get_aligned_output_features_output_indices,
    verify_out_features_out_indices,
)






class 					__SCREAMING_SNAKE_CASE						(	unittest.TestCase	):







  '''simple docstring'''






  def _UpperCamelCase					(			self						):




       '''simple docstring'''

       UpperCAmelCase_							:       int       =				['a', 'b', 'c']

       # Defaults to last layer if both are None
       UpperCAmelCase_       ,      UpperCAmelCase_							:       List[str]       =				get_aligned_output_features_output_indices(snake_case_				,		snake_case_				,		snake_case_						)
       self.assertEqual(snake_case_				,		['c']						)
       self.assertEqual(snake_case_				,		[2]						)

       # Out indices set to match out features
       UpperCAmelCase_       ,      UpperCAmelCase_							:       int       =				get_aligned_output_features_output_indices(['a', 'c']				,		snake_case_				,		snake_case_						)
       self.assertEqual(snake_case_				,		['a', 'c']						)
       self.assertEqual(snake_case_				,		[0, 2]						)

       # Out features set to match out indices
       UpperCAmelCase_       ,      UpperCAmelCase_							:       List[Any]       =				get_aligned_output_features_output_indices(snake_case_				,		[0, 2]				,		snake_case_						)
       self.assertEqual(snake_case_				,		['a', 'c']						)
       self.assertEqual(snake_case_				,		[0, 2]						)

       # Out features selected from negative indices
       UpperCAmelCase_       ,      UpperCAmelCase_							:       int       =				get_aligned_output_features_output_indices(snake_case_				,		[-3, -1]				,		snake_case_						)
       self.assertEqual(snake_case_				,		['a', 'c']						)
       self.assertEqual(snake_case_				,		[-3, -1]						)


  def _UpperCamelCase					(			self						):




       '''simple docstring'''

       with self.assertRaises(snake_case_						):
            verify_out_features_out_indices(['a', 'b']				,		(0, 1)				,		snake_case_						)

       # Out features must be a list
       with self.assertRaises(snake_case_						):
            verify_out_features_out_indices(('a', 'b')				,		(0, 1)				,		['a', 'b']						)

       # Out features must be a subset of stage names
       with self.assertRaises(snake_case_						):
            verify_out_features_out_indices(['a', 'b']				,		(0, 1)				,		['a']						)

       # Out indices must be a list or tuple
       with self.assertRaises(snake_case_						):
            verify_out_features_out_indices(snake_case_				,		0				,		['a', 'b']						)

       # Out indices must be a subset of stage names
       with self.assertRaises(snake_case_						):
            verify_out_features_out_indices(snake_case_				,		(0, 1)				,		['a']						)

       # Out features and out indices must be the same length
       with self.assertRaises(snake_case_						):
            verify_out_features_out_indices(['a', 'b']				,		(0,)				,		['a', 'b', 'c']						)

       # Out features should match out indices
       with self.assertRaises(snake_case_						):
            verify_out_features_out_indices(['a', 'b']				,		(0, 2)				,		['a', 'b', 'c']						)

       # Out features and out indices should be in order
       with self.assertRaises(snake_case_						):
            verify_out_features_out_indices(['b', 'a']				,		(0, 1)				,		['a', 'b']						)

       # Check passes with valid inputs
       verify_out_features_out_indices(['a', 'b', 'd']				,		(0, 1, -1)				,		['a', 'b', 'c', 'd']						)






  def _UpperCamelCase					(			self						):




       '''simple docstring'''

       UpperCAmelCase_							:       List[str]       =				BackboneMixin()

       UpperCAmelCase_							:       Any       =				['a', 'b', 'c']
       UpperCAmelCase_							:       str       =				['a', 'c']
       UpperCAmelCase_							:       str       =				[0, 2]

       # Check that the output features and indices are set correctly
       self.assertEqual(backbone.out_features				,		['a', 'c']						)
       self.assertEqual(backbone.out_indices				,		[0, 2]						)

       # Check out features and indices are updated correctly
       UpperCAmelCase_							:       str       =				['a', 'b']
       self.assertEqual(backbone.out_features				,		['a', 'b']						)
       self.assertEqual(backbone.out_indices				,		[0, 1]						)

       UpperCAmelCase_							:       Optional[int]       =				[-3, -1]
       self.assertEqual(backbone.out_features				,		['a', 'c']						)
       self.assertEqual(backbone.out_indices				,		[-3, -1]						)






