






"""simple docstring"""



def 						lowercase    (				__snake_case				: Union[str, Any]		,					__snake_case				: Tuple	):
		lowercase_ : Tuple							       =   [1]
		for i in range(2		,					__snake_case	):
				factorials.append(factorials[-1] * i	)
		assert 0 <= k < factorials[-1] * n, "k out of bounds"

		lowercase_ : str							       =   []
		lowercase_ : str							       =   list(range(__snake_case	)	)

		# Find permutation
		while factorials:
				lowercase_ : int							       =   factorials.pop()
				lowercase_       ,					lowercase_ : List[Any]							       =   divmod(__snake_case		,					__snake_case	)
				permutation.append(elements[number]	)
				elements.remove(elements[number]	)
		permutation.append(elements[0]	)

		return permutation


if __name__ == "__main__":
						import doctest

						doctest.testmod()










'''simple docstring'''

import torch

from diffusers import DPMSolverSDEScheduler
from diffusers.utils import torch_device
from diffusers.utils.testing_utils import require_torchsde

from .test_schedulers import SchedulerCommonTest






@require_torchsde
class    UpperCAmelCase	(       UpperCamelCase__				):
 __lowercase   		=				(DPMSolverSDEScheduler,)
 __lowercase   		=				10
 def      UpperCAmelCase_							(				self      :List[Any]						,       **lowercase_      :Optional[int]							)->							str:
     A__				=			{
         "num_train_timesteps": 11_00,
         "beta_start": 0.0_0_0_1,
         "beta_end": 0.0_2,
         "beta_schedule": "linear",
         "noise_sampler_seed": 0,
     }

     config.update(**lowercase_							)
     return config
 def      UpperCAmelCase_							(				self      :int							)->							Dict:
     for timesteps in [10, 50, 1_00, 10_00]:
         self.check_over_configs(num_train_timesteps=lowercase_							)
 def      UpperCAmelCase_							(				self      :List[Any]							)->							Tuple:
     for beta_start, beta_end in zip([0.0_0_0_0_1, 0.0_0_0_1, 0.0_0_1]						,       [0.0_0_0_2, 0.0_0_2, 0.0_2]							):
         self.check_over_configs(beta_start=lowercase_						,       beta_end=lowercase_							)
 def      UpperCAmelCase_							(				self      :Any							)->							Optional[Any]:
     for schedule in ["linear", "scaled_linear"]:
         self.check_over_configs(beta_schedule=lowercase_							)
 def      UpperCAmelCase_							(				self      :List[Any]							)->							Dict:
     for prediction_type in ["epsilon", "v_prediction"]:
         self.check_over_configs(prediction_type=lowercase_							)
 def      UpperCAmelCase_							(				self      :List[str]							)->							Union[str, Any]:
     A__				=			self.scheduler_classes[0]
     A__				=			self.get_scheduler_config()
     A__				=			scheduler_class(**lowercase_							)

     scheduler.set_timesteps(self.num_inference_steps							)

     A__				=			self.dummy_model()
     A__				=			self.dummy_sample_deter * scheduler.init_noise_sigma
     A__				=			sample.to(lowercase_							)

     for i, t in enumerate(scheduler.timesteps							):
         A__				=			scheduler.scale_model_input(lowercase_						,       lowercase_							)

         A__				=			model(lowercase_						,       lowercase_							)

         A__				=			scheduler.step(lowercase_						,       lowercase_						,       lowercase_							)
         A__				=			output.prev_sample

     A__				=			torch.sum(torch.abs(lowercase_							)							)
     A__				=			torch.mean(torch.abs(lowercase_							)							)

     if torch_device in ["mps"]:
         assert abs(result_sum.item() - 1_6_7.4_7_8_2_1_0_4_4_9_2_1_8_7_5							) < 1E-2
         assert abs(result_mean.item() - 0.2_1_7_8_7_0_5_9_6_4_5_6_5_2_7_7							) < 1E-3
     elif torch_device in ["cuda"]:
         assert abs(result_sum.item() - 1_7_1.5_9_3_5_2_1_1_1_8_1_6_4_0_6							) < 1E-2
         assert abs(result_mean.item() - 0.2_2_3_4_2_9_0_6_8_9_2_2_9_9_6_5_2							) < 1E-3
     else:
         assert abs(result_sum.item() - 1_6_2.5_2_3_8_3_4_2_2_8_5_1_5_6_2							) < 1E-2
         assert abs(result_mean.item() - 0.2_1_1_6_1_9_5_7_0_8_5_1_3_2_6							) < 1E-3
 def      UpperCAmelCase_							(				self      :Optional[int]							)->							Dict:
     A__				=			self.scheduler_classes[0]
     A__				=			self.get_scheduler_config(prediction_type="v_prediction"							)
     A__				=			scheduler_class(**lowercase_							)

     scheduler.set_timesteps(self.num_inference_steps							)

     A__				=			self.dummy_model()
     A__				=			self.dummy_sample_deter * scheduler.init_noise_sigma
     A__				=			sample.to(lowercase_							)

     for i, t in enumerate(scheduler.timesteps							):
         A__				=			scheduler.scale_model_input(lowercase_						,       lowercase_							)

         A__				=			model(lowercase_						,       lowercase_							)

         A__				=			scheduler.step(lowercase_						,       lowercase_						,       lowercase_							)
         A__				=			output.prev_sample

     A__				=			torch.sum(torch.abs(lowercase_							)							)
     A__				=			torch.mean(torch.abs(lowercase_							)							)

     if torch_device in ["mps"]:
         assert abs(result_sum.item() - 1_2_4.7_7_1_4_9_2_0_0_4_3_9_4_5_3							) < 1E-2
         assert abs(result_mean.item() - 0.1_6_2_2_6_2_8_9_0_1_4_8_1_6_2_8_4							) < 1E-3
     elif torch_device in ["cuda"]:
         assert abs(result_sum.item() - 1_2_8.1_6_6_3_3_6_0_5_9_5_7_0_3							) < 1E-2
         assert abs(result_mean.item() - 0.1_6_6_8_8_3_2_6_0_0_1_1_6_7_2_9_7							) < 1E-3
     else:
         assert abs(result_sum.item() - 1_1_9.8_4_8_7_5_4_8_8_2_8_1_2_5							) < 1E-2
         assert abs(result_mean.item() - 0.1_5_6_0_5_3_0_6_6_2_5_3_6_6_2_1							) < 1E-3
 def      UpperCAmelCase_							(				self      :Optional[int]							)->							List[str]:
     A__				=			self.scheduler_classes[0]
     A__				=			self.get_scheduler_config()
     A__				=			scheduler_class(**lowercase_							)

     scheduler.set_timesteps(self.num_inference_steps						,       device=lowercase_							)

     A__				=			self.dummy_model()
     A__				=			self.dummy_sample_deter.to(lowercase_							) * scheduler.init_noise_sigma

     for t in scheduler.timesteps:
         A__				=			scheduler.scale_model_input(lowercase_						,       lowercase_							)

         A__				=			model(lowercase_						,       lowercase_							)

         A__				=			scheduler.step(lowercase_						,       lowercase_						,       lowercase_							)
         A__				=			output.prev_sample

     A__				=			torch.sum(torch.abs(lowercase_							)							)
     A__				=			torch.mean(torch.abs(lowercase_							)							)

     if torch_device in ["mps"]:
         assert abs(result_sum.item() - 1_6_7.4_6_9_5_7_3_9_7_4_6_0_9_3_8							) < 1E-2
         assert abs(result_mean.item() - 0.2_1_8_0_5_9_3_4_6_0_7_9_8_2_6_3_5							) < 1E-3
     elif torch_device in ["cuda"]:
         assert abs(result_sum.item() - 1_7_1.5_9_3_5_3_6_3_7_6_9_5_3_1_2							) < 1E-2
         assert abs(result_mean.item() - 0.2_2_3_4_2_9_0_8_3_8_2_4_1_5_7_7_1							) < 1E-3
     else:
         assert abs(result_sum.item() - 1_6_2.5_2_3_8_3_4_2_2_8_5_1_5_6_2							) < 1E-2
         assert abs(result_mean.item() - 0.2_1_1_6_1_9_5_7_0_8_5_1_3_2_6							) < 1E-3



 def      UpperCAmelCase_							(				self      :Tuple							)->							Dict:
     A__				=			self.scheduler_classes[0]
     A__				=			self.get_scheduler_config()
     A__				=			scheduler_class(**lowercase_						,       use_karras_sigmas=lowercase_							)

     scheduler.set_timesteps(self.num_inference_steps						,       device=lowercase_							)

     A__				=			self.dummy_model()
     A__				=			self.dummy_sample_deter.to(lowercase_							) * scheduler.init_noise_sigma
     A__				=			sample.to(lowercase_							)

     for t in scheduler.timesteps:
         A__				=			scheduler.scale_model_input(lowercase_						,       lowercase_							)

         A__				=			model(lowercase_						,       lowercase_							)

         A__				=			scheduler.step(lowercase_						,       lowercase_						,       lowercase_							)
         A__				=			output.prev_sample

     A__				=			torch.sum(torch.abs(lowercase_							)							)
     A__				=			torch.mean(torch.abs(lowercase_							)							)

     if torch_device in ["mps"]:
         assert abs(result_sum.item() - 1_7_6.6_6_9_7_4_1_3_5_7_4_2_1_8_8							) < 1E-2
         assert abs(result_mean.item() - 0.2_3_0_0_3_8_7_2_7_3_0_9_8_1_8_1_1							) < 1E-2
     elif torch_device in ["cuda"]:
         assert abs(result_sum.item() - 1_7_7.6_3_6_5_3_5_6_4_4_5_3_1_2_5							) < 1E-2
         assert abs(result_mean.item() - 0.2_3_0_0_3_8_7_2_7_3_0_9_8_1_8_1_1							) < 1E-2
     else:
         assert abs(result_sum.item() - 1_7_0.3_1_3_5_2_2_3_3_8_8_6_7_2							) < 1E-2
         assert abs(result_mean.item() - 0.2_3_0_0_3_8_7_2_7_3_0_9_8_1_8_1_1							) < 1E-2



