
'''simple docstring'''
import math
from decimal import Decimal, getcontext




def 					_UpperCamelCase		(    SCREAMING_SNAKE_CASE__ = 400_0000       )   ->				int:


		'''simple docstring'''


		try:
				snake_case   :    str			       =		int(SCREAMING_SNAKE_CASE__       )
		except (TypeError, ValueError):
				raise TypeError('''Parameter n must be int or castable to int.'''       )
		if n <= 0:
				raise ValueError('''Parameter n must be greater than or equal to one.'''       )
		snake_case   :    Tuple			       =		100
		snake_case   :    str			       =		(Decimal(5       ) ** Decimal(0.5       ) + 1) / Decimal(2       )

		snake_case   :    Union[str, Any]			       =		(math.floor(math.log(n * (phi + 2)      ,    SCREAMING_SNAKE_CASE__       ) - 1       ) // 3) * 3 + 2
		snake_case   :    List[str]			       =		Decimal(round(phi ** Decimal(index + 1       )       )       ) / (phi + 2)
		snake_case   :    Optional[int]			       =		num // 2
		return int(SCREAMING_SNAKE_CASE__       )


if __name__ == "__main__":
						print(f"{solution() = }")




'''simple docstring'''

import torch

from diffusers import HeunDiscreteScheduler
from diffusers.utils import torch_device

from .test_schedulers import SchedulerCommonTest







class 	__lowerCAmelCase    (  __a				):
     snake_case   :    List[str]							      =      (HeunDiscreteScheduler,)
     snake_case   :    Optional[Any]							      =      1_0



     def     snake_case_ (self						,	**lowerCAmelCase__	):
          _UpperCAmelCase					:  Union[str, Any]         =    {
              """num_train_timesteps""": 1_1_0_0,
              """beta_start""": 0.0_0_0_1,
              """beta_end""": 0.0_2,
              """beta_schedule""": """linear""",
          }

          config.update(**lowerCAmelCase__	)
          return config



     def     snake_case_ (self	):
          for timesteps in [1_0, 5_0, 1_0_0, 1_0_0_0]:
               self.check_over_configs(num_train_timesteps=lowerCAmelCase__	)



     def     snake_case_ (self	):
          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=lowerCAmelCase__						,	beta_end=lowerCAmelCase__	)



     def     snake_case_ (self	):
          for schedule in ["linear", "scaled_linear", "exp"]:
               self.check_over_configs(beta_schedule=lowerCAmelCase__	)



     def     snake_case_ (self	):
          for clip_sample_range in [1.0, 2.0, 3.0]:
               self.check_over_configs(clip_sample_range=lowerCAmelCase__						,	clip_sample=lowerCAmelCase__	)



     def     snake_case_ (self	):
          for prediction_type in ["epsilon", "v_prediction", "sample"]:
               self.check_over_configs(prediction_type=lowerCAmelCase__	)



     def     snake_case_ (self	):
          _UpperCAmelCase					:  Tuple         =    self.scheduler_classes[0]
          _UpperCAmelCase					:  Optional[int]         =    self.get_scheduler_config()
          _UpperCAmelCase					:  List[str]         =    scheduler_class(**lowerCAmelCase__	)

          scheduler.set_timesteps(self.num_inference_steps	)

          _UpperCAmelCase					:  str         =    self.dummy_model()
          _UpperCAmelCase					:  List[Any]         =    self.dummy_sample_deter * scheduler.init_noise_sigma
          _UpperCAmelCase					:  Tuple         =    sample.to(lowerCAmelCase__	)

          for i, t in enumerate(scheduler.timesteps	):
               _UpperCAmelCase					:  Union[str, Any]         =    scheduler.scale_model_input(lowerCAmelCase__						,	lowerCAmelCase__	)

               _UpperCAmelCase					:  Any         =    model(lowerCAmelCase__						,	lowerCAmelCase__	)

               _UpperCAmelCase					:  Tuple         =    scheduler.step(lowerCAmelCase__						,	lowerCAmelCase__						,	lowerCAmelCase__	)
               _UpperCAmelCase					:  Optional[Any]         =    output.prev_sample

          _UpperCAmelCase					:  Optional[Any]         =    torch.sum(torch.abs(lowerCAmelCase__	)	)
          _UpperCAmelCase					:  int         =    torch.mean(torch.abs(lowerCAmelCase__	)	)

          if torch_device in ["cpu", "mps"]:
               assert abs(result_sum.item() - 0.1_2_3_3	) < 1e-2
               assert abs(result_mean.item() - 0.0_0_0_2	) < 1e-3
          else:
               # CUDA
               assert abs(result_sum.item() - 0.1_2_3_3	) < 1e-2
               assert abs(result_mean.item() - 0.0_0_0_2	) < 1e-3



     def     snake_case_ (self	):
          _UpperCAmelCase					:  Optional[int]         =    self.scheduler_classes[0]
          _UpperCAmelCase					:  Any         =    self.get_scheduler_config(prediction_type="""v_prediction"""	)
          _UpperCAmelCase					:  Any         =    scheduler_class(**lowerCAmelCase__	)

          scheduler.set_timesteps(self.num_inference_steps	)

          _UpperCAmelCase					:  Optional[Any]         =    self.dummy_model()
          _UpperCAmelCase					:  Any         =    self.dummy_sample_deter * scheduler.init_noise_sigma
          _UpperCAmelCase					:  Any         =    sample.to(lowerCAmelCase__	)

          for i, t in enumerate(scheduler.timesteps	):
               _UpperCAmelCase					:  List[str]         =    scheduler.scale_model_input(lowerCAmelCase__						,	lowerCAmelCase__	)

               _UpperCAmelCase					:  List[Any]         =    model(lowerCAmelCase__						,	lowerCAmelCase__	)

               _UpperCAmelCase					:  Optional[Any]         =    scheduler.step(lowerCAmelCase__						,	lowerCAmelCase__						,	lowerCAmelCase__	)
               _UpperCAmelCase					:  Union[str, Any]         =    output.prev_sample

          _UpperCAmelCase					:  Union[str, Any]         =    torch.sum(torch.abs(lowerCAmelCase__	)	)
          _UpperCAmelCase					:  str         =    torch.mean(torch.abs(lowerCAmelCase__	)	)

          if torch_device in ["cpu", "mps"]:
               assert abs(result_sum.item() - 4.6_934e-07	) < 1e-2
               assert abs(result_mean.item() - 6.1_112e-10	) < 1e-3
          else:
               # CUDA
               assert abs(result_sum.item() - 4.693_428_650_170_972e-07	) < 1e-2
               assert abs(result_mean.item() - 0.0_0_0_2	) < 1e-3



     def     snake_case_ (self	):
          _UpperCAmelCase					:  Tuple         =    self.scheduler_classes[0]
          _UpperCAmelCase					:  Any         =    self.get_scheduler_config()
          _UpperCAmelCase					:  Optional[int]         =    scheduler_class(**lowerCAmelCase__	)

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

          _UpperCAmelCase					:  List[Any]         =    self.dummy_model()
          _UpperCAmelCase					:  Dict         =    self.dummy_sample_deter.to(lowerCAmelCase__	) * scheduler.init_noise_sigma

          for t in scheduler.timesteps:
               _UpperCAmelCase					:  Union[str, Any]         =    scheduler.scale_model_input(lowerCAmelCase__						,	lowerCAmelCase__	)

               _UpperCAmelCase					:  Optional[Any]         =    model(lowerCAmelCase__						,	lowerCAmelCase__	)

               _UpperCAmelCase					:  Optional[int]         =    scheduler.step(lowerCAmelCase__						,	lowerCAmelCase__						,	lowerCAmelCase__	)
               _UpperCAmelCase					:  int         =    output.prev_sample

          _UpperCAmelCase					:  Any         =    torch.sum(torch.abs(lowerCAmelCase__	)	)
          _UpperCAmelCase					:  Optional[Any]         =    torch.mean(torch.abs(lowerCAmelCase__	)	)

          if str(lowerCAmelCase__	).startswith("""cpu"""	):
               # The following sum varies between 148 and 156 on mps. Why?
               assert abs(result_sum.item() - 0.1_2_3_3	) < 1e-2
               assert abs(result_mean.item() - 0.0_0_0_2	) < 1e-3
          elif str(lowerCAmelCase__	).startswith("""mps"""	):
               # Larger tolerance on mps
               assert abs(result_mean.item() - 0.0_0_0_2	) < 1e-2
          else:
               # CUDA
               assert abs(result_sum.item() - 0.1_2_3_3	) < 1e-2
               assert abs(result_mean.item() - 0.0_0_0_2	) < 1e-3



     def     snake_case_ (self	):
          _UpperCAmelCase					:  int         =    self.scheduler_classes[0]
          _UpperCAmelCase					:  str         =    self.get_scheduler_config()
          _UpperCAmelCase					:  Union[str, Any]         =    scheduler_class(**lowerCAmelCase__						,	use_karras_sigmas=lowerCAmelCase__	)

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

          _UpperCAmelCase					:  Optional[int]         =    self.dummy_model()
          _UpperCAmelCase					:  Optional[Any]         =    self.dummy_sample_deter.to(lowerCAmelCase__	) * scheduler.init_noise_sigma
          _UpperCAmelCase					:  Union[str, Any]         =    sample.to(lowerCAmelCase__	)

          for t in scheduler.timesteps:
               _UpperCAmelCase					:  Dict         =    scheduler.scale_model_input(lowerCAmelCase__						,	lowerCAmelCase__	)

               _UpperCAmelCase					:  Optional[Any]         =    model(lowerCAmelCase__						,	lowerCAmelCase__	)

               _UpperCAmelCase					:  Optional[int]         =    scheduler.step(lowerCAmelCase__						,	lowerCAmelCase__						,	lowerCAmelCase__	)
               _UpperCAmelCase					:  Optional[Any]         =    output.prev_sample

          _UpperCAmelCase					:  Union[str, Any]         =    torch.sum(torch.abs(lowerCAmelCase__	)	)
          _UpperCAmelCase					:  List[Any]         =    torch.mean(torch.abs(lowerCAmelCase__	)	)

          assert abs(result_sum.item() - 0.0_0_0_1_5	) < 1e-2
          assert abs(result_mean.item() - 1.9_869_554_535_034_695e-07	) < 1e-2


