



'''simple docstring'''





from math import factorial



class  snake_case__						:
 def __init__(   self						:							List[Any]      ,     __a						:							List[Any]      ,     __a						:							Any  )      ->   str:







       '''simple docstring'''
       __snake_case :   Optional[Any]													=    real
       if isinstance(__a      ,     __a  ):
             __snake_case :   Union[str, Any]													=    [1] * rank
       else:
             __snake_case :   List[str]													=    rank
 def __repr__(   self						:							List[Any]  )      ->   Dict:







       '''simple docstring'''
       return (
           f'''{self.real}+'''
           f'''{"+".join(str(__a  )+"E"+str(n+1  )for n,dual in enumerate(self.duals  )  )}'''
       )
 def A_   (   self						:							Optional[int]  )      ->   int:







       '''simple docstring'''
       __snake_case :   Union[str, Any]													=    self.duals.copy()
       while cur[-1] == 0:
             cur.pop(-1  )
       return Dual(self.real      ,     __a  )
 def __add__(   self						:							List[str]      ,     __a						:							Dict  )      ->   str:







       '''simple docstring'''
       if not isinstance(__a      ,     __a  ):
             return Dual(self.real + other      ,     self.duals  )
       __snake_case :   Optional[Any]													=    self.duals.copy()
       __snake_case :   Optional[Any]													=    other.duals.copy()
       if len(__a  ) > len(__a  ):
             o_dual.extend([1] * (len(__a  ) - len(__a  ))  )
       elif len(__a  ) < len(__a  ):
             s_dual.extend([1] * (len(__a  ) - len(__a  ))  )
       __snake_case :   Dict													=    []
       for i in range(len(__a  )  ):
             new_duals.append(s_dual[i] + o_dual[i]  )
       return Dual(self.real + other.real      ,     __a  )

 A__				= __add__
 def __sub__(   self						:							Optional[int]      ,     __a						:							Tuple  )      ->   List[Any]:







       '''simple docstring'''
       return self + other * -1
 def __mul__(   self						:							int      ,     __a						:							List[Any]  )      ->   Dict:







       '''simple docstring'''
       if not isinstance(__a      ,     __a  ):
             __snake_case :   List[str]													=    []
             for i in self.duals:
                   new_duals.append(i * other  )
             return Dual(self.real * other      ,     __a  )
       __snake_case :   List[Any]													=    [0] * (len(self.duals  ) + len(other.duals  ) + 1)
       for i, item in enumerate(self.duals  ):
             for j, jtem in enumerate(other.duals  ):
                   new_duals[i + j + 1] += item * jtem
       for k in range(len(self.duals  )  ):
             new_duals[k] += self.duals[k] * other.real
       for index in range(len(other.duals  )  ):
             new_duals[index] += other.duals[index] * self.real
       return Dual(self.real * other.real      ,     __a  )

 A__				= __mul__
 def __truediv__(   self						:							Optional[int]      ,     __a						:							Any  )      ->   int:







       '''simple docstring'''
       if not isinstance(__a      ,     __a  ):
             __snake_case :   Any													=    []
             for i in self.duals:
                   new_duals.append(i / other  )
             return Dual(self.real / other      ,     __a  )
       raise ValueError
 def __floordiv__(   self						:							Optional[int]      ,     __a						:							Union[str, Any]  )      ->   Any:







       '''simple docstring'''
       if not isinstance(__a      ,     __a  ):
             __snake_case :   Tuple													=    []
             for i in self.duals:
                   new_duals.append(i // other  )
             return Dual(self.real // other      ,     __a  )
       raise ValueError





 def __pow__(   self						:							List[Any]      ,     __a						:							List[Any]  )      ->   Union[str, Any]:







       '''simple docstring'''
       if n < 0 or isinstance(__a      ,     __a  ):
             raise ValueError('power must be a positive integer'  )
       if n == 0:
             return 1
       if n == 1:
             return self
       __snake_case :   List[str]													=    self
       for _ in range(n - 1  ):
             x *= self
       return x





def   a_   (		_UpperCAmelCase    :      Union[str, Any] ,_UpperCAmelCase    :      Optional[int] ,_UpperCAmelCase    :      List[Any]				)    ->  Tuple:
      if not callable(_UpperCAmelCase				):
            raise ValueError('differentiate() requires a function as input for func'				)
      if not isinstance(_UpperCAmelCase ,(float, int)				):
            raise ValueError('differentiate() requires a float as input for position'				)
      if not isinstance(_UpperCAmelCase ,_UpperCAmelCase				):
            raise ValueError('differentiate() requires an int as input for order'				)
      __snake_case :   Optional[int]													=    Dual(_UpperCAmelCase ,1				)
      __snake_case :   List[str]													=    func(_UpperCAmelCase				)
      if order == 0:
            return result.real
      return result.duals[order - 1] * factorial(_UpperCAmelCase				)


if __name__ == "__main__":
    import doctest

    doctest.testmod()





    def   a_   (		_UpperCAmelCase    :      Dict				)    ->  Any:
          return y**2 * y**4





    print(differentiate(f, 9, 2))








'''simple docstring'''





import gc
import random
import unittest

import numpy as np
import torch
from PIL import Image
from transformers import XLMRobertaTokenizerFast

from diffusers import DDIMScheduler, KandinskyInpaintPipeline, KandinskyPriorPipeline, UNetaDConditionModel, VQModel
from diffusers.pipelines.kandinsky.text_encoder import MCLIPConfig, MultilingualCLIP
from diffusers.utils import floats_tensor, load_image, load_numpy, slow, torch_device
from diffusers.utils.testing_utils import enable_full_determinism, require_torch_gpu

from ..test_pipelines_common import PipelineTesterMixin, assert_mean_pixel_difference


enable_full_determinism()



class  snake_case__						(    SCREAMING_SNAKE_CASE_  ,     unittest.TestCase				):
 A__				= KandinskyInpaintPipeline
 A__				= ['''prompt''', '''image_embeds''', '''negative_image_embeds''', '''image''', '''mask_image''']
 A__				= [
     '''prompt''',
     '''negative_prompt''',
     '''image_embeds''',
     '''negative_image_embeds''',
     '''image''',
     '''mask_image''',
 ]
 A__				= [
     '''generator''',
     '''height''',
     '''width''',
     '''latents''',
     '''guidance_scale''',
     '''negative_prompt''',
     '''num_inference_steps''',
     '''return_dict''',
     '''guidance_scale''',
     '''num_images_per_prompt''',
     '''output_type''',
     '''return_dict''',
 ]
 A__				= False
 @property
 def A_   (   self						:							Dict  )      ->   Union[str, Any]:







       '''simple docstring'''
       return 32
 @property
 def A_   (   self						:							Optional[int]  )      ->   Tuple:







       '''simple docstring'''
       return 32
 @property
 def A_   (   self						:							Dict  )      ->   str:







       '''simple docstring'''
       return self.time_input_dim
 @property
 def A_   (   self						:							Dict  )      ->   Any:







       '''simple docstring'''
       return self.time_input_dim * 4
 @property
 def A_   (   self						:							List[Any]  )      ->   List[str]:







       '''simple docstring'''
       return 100
 @property
 def A_   (   self						:							int  )      ->   Union[str, Any]:







       '''simple docstring'''
       __snake_case :   List[str]													=    XLMRobertaTokenizerFast.from_pretrained('YiYiXu/tiny-random-mclip-base'  )
       return tokenizer
 @property
 def A_   (   self						:							Tuple  )      ->   str:







       '''simple docstring'''
       torch.manual_seed(0  )
       __snake_case :   str													=    MCLIPConfig(
           numDims=self.cross_attention_dim      ,     transformerDimensions=self.text_embedder_hidden_size      ,     hidden_size=self.text_embedder_hidden_size      ,     intermediate_size=37      ,     num_attention_heads=4      ,     num_hidden_layers=5      ,     vocab_size=1005      ,     )

       __snake_case :   List[Any]													=    MultilingualCLIP(__a  )
       __snake_case :   List[str]													=    text_encoder.eval()

       return text_encoder
 @property
 def A_   (   self						:							Dict  )      ->   List[str]:







       '''simple docstring'''
       torch.manual_seed(0  )

       __snake_case :   Tuple													=    {
           'in_channels': 9,
           # Out channels is double in channels because predicts mean and variance
           'out_channels': 8,
           'addition_embed_type': 'text_image',
           'down_block_types': ('ResnetDownsampleBlock2D', 'SimpleCrossAttnDownBlock2D'),
           'up_block_types': ('SimpleCrossAttnUpBlock2D', 'ResnetUpsampleBlock2D'),
           'mid_block_type': 'UNetMidBlock2DSimpleCrossAttn',
           'block_out_channels': (self.block_out_channels_a, self.block_out_channels_a * 2),
           'layers_per_block': 1,
           'encoder_hid_dim': self.text_embedder_hidden_size,
           'encoder_hid_dim_type': 'text_image_proj',
           'cross_attention_dim': self.cross_attention_dim,
           'attention_head_dim': 4,
           'resnet_time_scale_shift': 'scale_shift',
           'class_embed_type': None,
       }

       __snake_case :   Any													=    UNetaDConditionModel(**__a  )
       return model
 @property
 def A_   (   self						:							List[str]  )      ->   List[Any]:







       '''simple docstring'''
       return {
           "block_out_channels": [32, 64],
           "down_block_types": ["DownEncoderBlock2D", "AttnDownEncoderBlock2D"],
           "in_channels": 3,
           "latent_channels": 4,
           "layers_per_block": 1,
           "norm_num_groups": 8,
           "norm_type": "spatial",
           "num_vq_embeddings": 12,
           "out_channels": 3,
           "up_block_types": [
               "AttnUpDecoderBlock2D",
               "UpDecoderBlock2D",
           ],
           "vq_embed_dim": 4,
       }
 @property
 def A_   (   self						:							int  )      ->   List[str]:







       '''simple docstring'''
       torch.manual_seed(0  )
       __snake_case :   Optional[int]													=    VQModel(**self.dummy_movq_kwargs  )
       return model
 def A_   (   self						:							Dict  )      ->   Tuple:







       '''simple docstring'''
       __snake_case :   Tuple													=    self.dummy_text_encoder
       __snake_case :   str													=    self.dummy_tokenizer
       __snake_case :   Any													=    self.dummy_unet
       __snake_case :   Optional[Any]													=    self.dummy_movq

       __snake_case :   Optional[Any]													=    DDIMScheduler(
           num_train_timesteps=1000      ,     beta_schedule='linear'      ,     beta_start=0.0_0_0_8_5      ,     beta_end=0.0_1_2      ,     clip_sample=__a      ,     set_alpha_to_one=__a      ,     steps_offset=1      ,     prediction_type='epsilon'      ,     thresholding=__a      ,     )

       __snake_case :   List[str]													=    {
           'text_encoder': text_encoder,
           'tokenizer': tokenizer,
           'unet': unet,
           'scheduler': scheduler,
           'movq': movq,
       }

       return components
 def A_   (   self						:							List[str]      ,     __a						:							Dict      ,     __a						:							int=0  )      ->   Optional[Any]:







       '''simple docstring'''
       __snake_case :   int													=    floats_tensor((1, self.cross_attention_dim)      ,     rng=random.Random(__a  )  ).to(__a  )
       __snake_case :   str													=    floats_tensor((1, self.cross_attention_dim)      ,     rng=random.Random(seed + 1  )  ).to(__a  )
       # create init_image
       __snake_case :   Any													=    floats_tensor((1, 3, 64, 64)      ,     rng=random.Random(__a  )  ).to(__a  )
       __snake_case :   Optional[int]													=    image.cpu().permute(0      ,     2      ,     3      ,     1  )[0]
       __snake_case :   List[str]													=    Image.fromarray(np.uinta(__a  )  ).convert('RGB'  ).resize((256, 256)  )
       # create mask
       __snake_case :   Optional[int]													=    np.ones((64, 64)      ,     dtype=np.floataa  )
       __snake_case :   List[Any]													=    0

       if str(__a  ).startswith('mps'  ):
             __snake_case :   Any													=    torch.manual_seed(__a  )
       else:
             __snake_case :   Optional[int]													=    torch.Generator(device=__a  ).manual_seed(__a  )
       __snake_case :   int													=    {
           'prompt': 'horse',
           'image': init_image,
           'mask_image': mask,
           'image_embeds': image_embeds,
           'negative_image_embeds': negative_image_embeds,
           'generator': generator,
           'height': 64,
           'width': 64,
           'num_inference_steps': 2,
           'guidance_scale': 4.0,
           'output_type': 'np',
       }
       return inputs
 def A_   (   self						:							Any  )      ->   int:







       '''simple docstring'''
       __snake_case :   List[str]													=    'cpu'

       __snake_case :   Tuple													=    self.get_dummy_components()

       __snake_case :   Optional[int]													=    self.pipeline_class(**__a  )
       __snake_case :   Union[str, Any]													=    pipe.to(__a  )

       pipe.set_progress_bar_config(disable=__a  )

       __snake_case :   Optional[Any]													=    pipe(**self.get_dummy_inputs(__a  )  )
       __snake_case :   Dict													=    output.images

       __snake_case :   Union[str, Any]													=    pipe(
           **self.get_dummy_inputs(__a  )      ,     return_dict=__a      ,     )[0]

       __snake_case :   int													=    image[0, -3:, -3:, -1]
       __snake_case :   Optional[int]													=    image_from_tuple[0, -3:, -3:, -1]

       print(f'''image.shape {image.shape}'''  )

       assert image.shape == (1, 64, 64, 3)

       __snake_case :   List[Any]													=    np.array(
           [0.8_3_2_6_9_1_9, 0.7_3_7_9_0_4_6_7, 0.2_0_9_1_8_5_8_1, 0.9_3_0_9_6_1_2, 0.5_5_1_1_7_9_1, 0.4_3_7_1_3_3_2_8, 0.5_5_1_3_3_2_1, 0.4_9_9_2_2_9_3_4, 0.5_9_4_9_7_7_8_6]  )

       assert (
           np.abs(image_slice.flatten() - expected_slice  ).max() < 1e-2
       ), f''' expected_slice {expected_slice}, but got {image_slice.flatten()}'''
       assert (
           np.abs(image_from_tuple_slice.flatten() - expected_slice  ).max() < 1e-2
       ), f''' expected_slice {expected_slice}, but got {image_from_tuple_slice.flatten()}'''





 def A_   (   self						:							List[Any]  )      ->   List[str]:







       '''simple docstring'''
       super().test_inference_batch_single_identical(expected_max_diff=3e-3  )



@slow
@require_torch_gpu
class  snake_case__						(    unittest.TestCase				):
 def A_   (   self						:							Dict  )      ->   List[str]:







       '''simple docstring'''
       # clean up the VRAM after each test
       super().tearDown()
       gc.collect()
       torch.cuda.empty_cache()





 def A_   (   self						:							Optional[int]  )      ->   List[Any]:







       '''simple docstring'''
       __snake_case :   Union[str, Any]													=    load_numpy(
           'https://huggingface.co/datasets/hf-internal-testing/diffusers-images/resolve/main'
           '/kandinsky/kandinsky_inpaint_cat_with_hat_fp16.npy'  )

       __snake_case :   Tuple													=    load_image(
           'https://huggingface.co/datasets/hf-internal-testing/diffusers-images/resolve/main' '/kandinsky/cat.png'  )
       __snake_case :   Tuple													=    np.ones((768, 768)      ,     dtype=np.floataa  )
       __snake_case :   Tuple													=    0

       __snake_case :   Tuple													=    'a hat'

       __snake_case :   Optional[Any]													=    KandinskyPriorPipeline.from_pretrained(
           'kandinsky-community/kandinsky-2-1-prior'      ,     torch_dtype=torch.floataa  )
       pipe_prior.to(__a  )

       __snake_case :   int													=    KandinskyInpaintPipeline.from_pretrained(
           'kandinsky-community/kandinsky-2-1-inpaint'      ,     torch_dtype=torch.floataa  )
       __snake_case :   Optional[Any]													=    pipeline.to(__a  )
       pipeline.set_progress_bar_config(disable=__a  )

       __snake_case :   Any													=    torch.Generator(device='cpu'  ).manual_seed(0  )
       __snake_case							,     __snake_case :   Union[str, Any]													=    pipe_prior(
           __a      ,     generator=__a      ,     num_inference_steps=5      ,     negative_prompt=''      ,     ).to_tuple()

       __snake_case :   List[str]													=    pipeline(
           __a      ,     image=__a      ,     mask_image=__a      ,     image_embeds=__a      ,     negative_image_embeds=__a      ,     generator=__a      ,     num_inference_steps=100      ,     height=768      ,     width=768      ,     output_type='np'      ,     )

       __snake_case :   int													=    output.images[0]

       assert image.shape == (768, 768, 3)

       assert_mean_pixel_difference(__a      ,     __a  )



