






def      lowercase__      (     __snake_case    :							int  ):


					'''simple docstring'''


					if length <= 0 or not isinstance(__snake_case     ,       __snake_case  ):
										raise ValueError('Length must be a positive integer.'  )
					return [n * (2 * n - 1) for n in range(__snake_case  )]


if __name__ == "__main__":
		print(hexagonal_numbers(length=5))
		print(hexagonal_numbers(length=10))














import random
import unittest

import torch

from diffusers import IFImgaImgSuperResolutionPipeline
from diffusers.utils import floats_tensor
from diffusers.utils.import_utils import is_xformers_available
from diffusers.utils.testing_utils import skip_mps, torch_device

from ..pipeline_params import TEXT_GUIDED_IMAGE_VARIATION_BATCH_PARAMS, TEXT_GUIDED_IMAGE_VARIATION_PARAMS
from ..test_pipelines_common import PipelineTesterMixin
from . import IFPipelineTesterMixin



@skip_mps
class   lowerCamelCase      (_snake_case ,  _snake_case ,  unittest.TestCase			):







		'''simple docstring'''



		_snake_case    :    Union[str, Any]       						=  IFImgaImgSuperResolutionPipeline
		_snake_case    :    Union[str, Any]       						=  TEXT_GUIDED_IMAGE_VARIATION_PARAMS - {'''width''', '''height'''}
		_snake_case    :    List[Any]       						=  TEXT_GUIDED_IMAGE_VARIATION_BATCH_PARAMS.union({'''original_image'''}			)
		_snake_case    :    List[str]       						=  PipelineTesterMixin.required_optional_params - {'''latents'''}



		def 					__UpperCAmelCase			(							self   )	->							Optional[Any]:
							return self._get_superresolution_dummy_components()



		def 					__UpperCAmelCase			(							self				,		_UpperCamelCase				,		_UpperCamelCase=0   )	->							Any:
							if str(_UpperCamelCase   ).startswith('mps'   ):
												UpperCAmelCase_    :      List[Any]            =						torch.manual_seed(_UpperCamelCase   )
							else:
												UpperCAmelCase_    :      int            =						torch.Generator(device=_UpperCamelCase   ).manual_seed(_UpperCamelCase   )

							UpperCAmelCase_    :      List[Any]            =						floats_tensor((1, 3, 3_2, 3_2)				,		rng=random.Random(_UpperCamelCase   )   ).to(_UpperCamelCase   )
							UpperCAmelCase_    :      Dict            =						floats_tensor((1, 3, 1_6, 1_6)				,		rng=random.Random(_UpperCamelCase   )   ).to(_UpperCamelCase   )

							UpperCAmelCase_    :      Tuple            =						{
							    'prompt': 'A painting of a squirrel eating a burger',
							    'image': image,
							    'original_image': original_image,
							    'generator': generator,
							    'num_inference_steps': 2,
							    'output_type': 'numpy',
							}

							return inputs



		@unittest.skipIf(
		    torch_device != 'cuda' or not is_xformers_available()				,		reason='XFormers attention is only available with CUDA and `xformers` installed'				,		)
		def 					__UpperCAmelCase			(							self   )	->							Any:
							self._test_xformers_attention_forwardGenerator_pass(expected_max_diff=1E-3   )



		def 					__UpperCAmelCase			(							self   )	->							Dict:
							self._test_save_load_optional_components()



		@unittest.skipIf(torch_device != 'cuda'				,		reason='float16 requires CUDA'   )
		def 					__UpperCAmelCase			(							self   )	->							str:
							# Due to non-determinism in save load of the hf-internal-testing/tiny-random-t5 text encoder
							super().test_save_load_floataa(expected_max_diff=1E-1   )



		def 					__UpperCAmelCase			(							self   )	->							List[Any]:
							self._test_attention_slicing_forward_pass(expected_max_diff=1E-2   )



		def 					__UpperCAmelCase			(							self   )	->							Union[str, Any]:
							self._test_save_load_local()



		def 					__UpperCAmelCase			(							self   )	->							Dict:
							self._test_inference_batch_single_identical(
							    expected_max_diff=1E-2				,		)






