'''simple docstring'''







import os
import re
import shutil
import sys
import tempfile
import unittest

import black


UpperCamelCase_      	=	os.path.abspath(os.path.dirname(os.path.dirname(os.path.dirname(__file__))))
sys.path.append(os.path.join(git_repo_path, '''utils'''))

import check_copies  # noqa: E402


# This is the reference code that will be used in the tests.
# If DDPMSchedulerOutput is changed in scheduling_ddpm.py, this code needs to be manually updated.
UpperCamelCase_      	=	"""    \"\"\"
    Output class for the scheduler's step function output.

    Args:
        prev_sample (`torch.FloatTensor` of shape `(batch_size, num_channels, height, width)` for images):
            Computed sample (x_{t-1}) of previous timestep. `prev_sample` should be used as next model input in the
            denoising loop.
        pred_original_sample (`torch.FloatTensor` of shape `(batch_size, num_channels, height, width)` for images):
            The predicted denoised sample (x_{0}) based on the model output from the current timestep.
            `pred_original_sample` can be used to preview progress or for guidance.
    \"\"\"

    prev_sample: torch.FloatTensor
    pred_original_sample: Optional[torch.FloatTensor] = None
"""




class _SCREAMING_SNAKE_CASE(							unittest.TestCase					):




						def      __lowerCamelCase       (    self :       Dict      )     ->				int:
													SCREAMING_SNAKE_CASE__     :Optional[Any]						    = tempfile.mkdtemp()
													os.makedirs(os.path.join(self.diffusers_dir							,							'schedulers/'      )      )
													SCREAMING_SNAKE_CASE__     :Optional[int]						    = self.diffusers_dir
													shutil.copy(
													    os.path.join(__lowerCAmelCase							,							'src/diffusers/schedulers/scheduling_ddpm.py'      )							,							os.path.join(self.diffusers_dir							,							'schedulers/scheduling_ddpm.py'      )							,							)




						def      __lowerCamelCase       (    self :       Tuple      )     ->				int:
													SCREAMING_SNAKE_CASE__     :Optional[int]						    = '''src/diffusers'''
													shutil.rmtree(self.diffusers_dir      )




						def      __lowerCamelCase       (    self :       int							,							UpperCamelCase_ :       List[str]							,							UpperCamelCase_ :       List[Any]							,							UpperCamelCase_ :       Union[str, Any]							,							UpperCamelCase_ :       Union[str, Any]=None      )     ->				Dict:
													SCREAMING_SNAKE_CASE__     :Tuple						    = comment + f'''\nclass {class_name}(nn.Module):\n''' + class_code
													if overwrite_result is not None:
																				SCREAMING_SNAKE_CASE__     :List[str]						    = comment + f'''\nclass {class_name}(nn.Module):\n''' + overwrite_result
													SCREAMING_SNAKE_CASE__     :List[Any]						    = black.Mode(target_versions={black.TargetVersion.PYaa}							,							line_length=1_19      )
													SCREAMING_SNAKE_CASE__     :Dict						    = black.format_str(__lowerCAmelCase							,							mode=__lowerCAmelCase      )
													SCREAMING_SNAKE_CASE__     :int						    = os.path.join(self.diffusers_dir							,							'new_code.py'      )
													with open(__lowerCAmelCase							,							'w'							,							newline='\n'      ) as f:
																				f.write(__lowerCAmelCase      )
													if overwrite_result is None:
																				self.assertTrue(len(check_copies.is_copy_consistent(__lowerCAmelCase      )      ) == 0      )
													else:
																				check_copies.is_copy_consistent(f.name							,							overwrite=__lowerCAmelCase      )
																				with open(__lowerCAmelCase							,							'r'      ) as f:
																											self.assertTrue(f.read()							,							__lowerCAmelCase      )




						def      __lowerCamelCase       (    self :       List[str]      )     ->				List[Any]:
													SCREAMING_SNAKE_CASE__     :Tuple						    = check_copies.find_code_in_diffusers('schedulers.scheduling_ddpm.DDPMSchedulerOutput'      )
													self.assertEqual(__lowerCAmelCase							,							__lowerCAmelCase      )




						def      __lowerCamelCase       (    self :       Tuple      )     ->				Union[str, Any]:
													self.check_copy_consistency(
													    '# Copied from diffusers.schedulers.scheduling_ddpm.DDPMSchedulerOutput'							,							'DDPMSchedulerOutput'							,							REFERENCE_CODE + '\n'							,							)

													# With no empty line at the end
													self.check_copy_consistency(
													    '# Copied from diffusers.schedulers.scheduling_ddpm.DDPMSchedulerOutput'							,							'DDPMSchedulerOutput'							,							__lowerCAmelCase							,							)

													# Copy consistency with rename
													self.check_copy_consistency(
													    '# Copied from diffusers.schedulers.scheduling_ddpm.DDPMSchedulerOutput with DDPM->Test'							,							'TestSchedulerOutput'							,							re.sub('DDPM'							,							'Test'							,							__lowerCAmelCase      )							,							)

													# Copy consistency with a really long name
													SCREAMING_SNAKE_CASE__     :List[Any]						    = '''TestClassWithAReallyLongNameBecauseSomePeopleLikeThatForSomeReason'''
													self.check_copy_consistency(
													    f'''# Copied from diffusers.schedulers.scheduling_ddpm.DDPMSchedulerOutput with DDPM->{long_class_name}'''							,							f'''{long_class_name}SchedulerOutput'''							,							re.sub('Bert'							,							__lowerCAmelCase							,							__lowerCAmelCase      )							,							)

													# Copy consistency with overwrite
													self.check_copy_consistency(
													    '# Copied from diffusers.schedulers.scheduling_ddpm.DDPMSchedulerOutput with DDPM->Test'							,							'TestSchedulerOutput'							,							__lowerCAmelCase							,							overwrite_result=re.sub('DDPM'							,							'Test'							,							__lowerCAmelCase      )							,							)














import math
from collections.abc import Iterator
from itertools import takewhile

def   __lowercase       (			snake_case			):







				"""simple docstring"""






				if 1 < number < 4:
								# 2 and 3 are primes
								return True
				elif number < 2 or number % 2 == 0 or number % 3 == 0:
								# Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
								return False

				# All primes number are in format of 6k +/- 1
				for i in range(5,	int(math.sqrt(snake_case			) + 1			),	6			):
								if number % i == 0 or number % (i + 2) == 0:
												return False
				return True

def   __lowercase       (			):







				"""simple docstring"""






				__magic_name__		:str   =   2
				while True:
								if is_prime(snake_case			):
												yield num
								num += 1

def   __lowercase       (			snake_case = 2_0_0_0_0_0_0			):







				"""simple docstring"""






				return sum(takewhile(lambda snake_case			: x < n,	prime_generator()			)			)


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






