




from __future__ import annotations

import math
import random

def 					A				(				_SCREAMING_SNAKE_CASE			,_SCREAMING_SNAKE_CASE			,_SCREAMING_SNAKE_CASE   )     ->			list[int]:
       lowerCamelCase       :				Dict      			= d * e - 1
       lowerCamelCase       :				List[Any]      			= 0
       lowerCamelCase       :				List[str]      			= 0
       while p == 0:
              lowerCamelCase       :				List[Any]      			= random.randint(2			,n - 1   )
              lowerCamelCase       :				Tuple      			= k
              while True:
                     if t % 2 == 0:
                            lowerCamelCase       :				List[str]      			= t // 2
                            lowerCamelCase       :				Any      			= (g**t) % n
                            lowerCamelCase       :				str      			= math.gcd(x - 1			,_SCREAMING_SNAKE_CASE   )
                            if x > 1 and y > 1:
                                   lowerCamelCase       :				Union[str, Any]      			= y
                                   lowerCamelCase       :				Dict      			= n // y
                                   break  # find the correct factors
                     else:
                            break  # t is not divisible by 2, break and choose another g
       return sorted([p, q]   )


if __name__ == "__main__":
      import doctest

      doctest.testmod()












import types
from typing import List, Optional, Tuple, Union

import torch
from transformers import CLIPTextModelWithProjection, CLIPTokenizer
from transformers.models.clip.modeling_clip import CLIPTextModelOutput

from diffusers.models import PriorTransformer
from diffusers.pipelines import DiffusionPipeline, StableDiffusionImageVariationPipeline
from diffusers.schedulers import UnCLIPScheduler
from diffusers.utils import logging, randn_tensor


SCREAMING_SNAKE_CASE__	:				List[str]  =       logging.get_logger(__name__)  # pylint: disable=invalid-name

def 					A				(				self			,_SCREAMING_SNAKE_CASE			,_SCREAMING_SNAKE_CASE			,_SCREAMING_SNAKE_CASE			,_SCREAMING_SNAKE_CASE   )     ->			str:
       lowerCamelCase       :				Dict      			= image.to(device=_SCREAMING_SNAKE_CASE   )
       lowerCamelCase       :				str      			= image  # take image as image_embeddings
       lowerCamelCase       :				List[Any]      			= image_embeddings.unsqueeze(1   )

       # duplicate image embeddings for each generation per prompt, using mps friendly method
       lowerCamelCase			,				lowerCamelCase			,				lowerCamelCase       :				str      			= image_embeddings.shape
       lowerCamelCase       :				List[str]      			= image_embeddings.repeat(1			,_SCREAMING_SNAKE_CASE			,1   )
       lowerCamelCase       :				Optional[int]      			= image_embeddings.view(bs_embed * num_images_per_prompt			,_SCREAMING_SNAKE_CASE			,-1   )

       if do_classifier_free_guidance:
              lowerCamelCase       :				Dict      			= torch.zeros_like(_SCREAMING_SNAKE_CASE   )

              # For classifier free guidance, we need to do two forward passes.
              # Here we concatenate the unconditional and text embeddings into a single batch
              # to avoid doing two forward passes
              lowerCamelCase       :				Optional[Any]      			= torch.cat([uncond_embeddings, image_embeddings]   )

       return image_embeddings




class 		UpperCamelCase__     (lowerCAmelCase__					):

    '''simple docstring'''



    def __init__(   self					,  UpperCamelCase__					,  UpperCamelCase__					,  UpperCamelCase__					,  UpperCamelCase__					,  UpperCamelCase__ = None					,  )					->				Tuple:
           super().__init__()

           lowerCamelCase       :				str      			= {"image_encoder": None} if decoder_pipe_kwargs is None else decoder_pipe_kwargs

           lowerCamelCase       :				Dict      			= decoder_pipe_kwargs.get("torch_dtype"					,  UpperCamelCase__					) or prior.dtype

           lowerCamelCase       :				Dict      			= StableDiffusionImageVariationPipeline.from_pretrained(
               "lambdalabs/sd-image-variations-diffusers"					,  **UpperCamelCase__					)

           # replace `_encode_image` method
           lowerCamelCase       :				List[str]      			= types.MethodType(_encode_image					,  self.decoder_pipe					)

           self.register_modules(
               prior=UpperCamelCase__					,  tokenizer=UpperCamelCase__					,  text_encoder=UpperCamelCase__					,  prior_scheduler=UpperCamelCase__					,  )







    def    _lowercase					(   self					,  UpperCamelCase__					,  UpperCamelCase__					,  UpperCamelCase__					,  UpperCamelCase__					,  UpperCamelCase__ = None					,  UpperCamelCase__ = None					,  )					->				Any:
           if text_model_output is None:
                  lowerCamelCase       :				List[str]      			= len(UpperCamelCase__					) if isinstance(UpperCamelCase__					,  UpperCamelCase__					) else 1
                  # get prompt text embeddings
                  lowerCamelCase       :				Any      			= self.tokenizer(
                      UpperCamelCase__					,  padding="max_length"					,  max_length=self.tokenizer.model_max_length					,  return_tensors="pt"					,  )
                  lowerCamelCase       :				int      			= text_inputs.input_ids
                  lowerCamelCase       :				Optional[Any]      			= text_inputs.attention_mask.bool().to(UpperCamelCase__					)

                  if text_input_ids.shape[-1] > self.tokenizer.model_max_length:
                         lowerCamelCase       :				Optional[int]      			= self.tokenizer.batch_decode(text_input_ids[:, self.tokenizer.model_max_length :]					)
                         logger.warning(
                             "The following part of your input was truncated because CLIP can only handle sequences up to"
                             F''' {self.tokenizer.model_max_length} tokens: {removed_text}'''					)
                         lowerCamelCase       :				Optional[Any]      			= text_input_ids[:, : self.tokenizer.model_max_length]

                  lowerCamelCase       :				int      			= self.text_encoder(text_input_ids.to(UpperCamelCase__					)					)

                  lowerCamelCase       :				Optional[Any]      			= text_encoder_output.text_embeds
                  lowerCamelCase       :				Optional[int]      			= text_encoder_output.last_hidden_state

           else:
                  lowerCamelCase       :				Dict      			= text_model_output[0].shape[0]
                  lowerCamelCase			,				lowerCamelCase       :				int      			= text_model_output[0], text_model_output[1]
                  lowerCamelCase       :				int      			= text_attention_mask

           lowerCamelCase       :				Dict      			= text_embeddings.repeat_interleave(UpperCamelCase__					,  dim=0					)
           lowerCamelCase       :				int      			= text_encoder_hidden_states.repeat_interleave(UpperCamelCase__					,  dim=0					)
           lowerCamelCase       :				List[str]      			= text_mask.repeat_interleave(UpperCamelCase__					,  dim=0					)

           if do_classifier_free_guidance:
                  lowerCamelCase       :				Dict      			= [""] * batch_size

                  lowerCamelCase       :				List[Any]      			= self.tokenizer(
                      UpperCamelCase__					,  padding="max_length"					,  max_length=self.tokenizer.model_max_length					,  truncation=UpperCamelCase__					,  return_tensors="pt"					,  )
                  lowerCamelCase       :				str      			= uncond_input.attention_mask.bool().to(UpperCamelCase__					)
                  lowerCamelCase       :				int      			= self.text_encoder(uncond_input.input_ids.to(UpperCamelCase__					)					)

                  lowerCamelCase       :				Union[str, Any]      			= uncond_embeddings_text_encoder_output.text_embeds
                  lowerCamelCase       :				List[Any]      			= uncond_embeddings_text_encoder_output.last_hidden_state

                  # duplicate unconditional embeddings for each generation per prompt, using mps friendly method

                  lowerCamelCase       :				Optional[Any]      			= uncond_embeddings.shape[1]
                  lowerCamelCase       :				str      			= uncond_embeddings.repeat(1					,  UpperCamelCase__					)
                  lowerCamelCase       :				Optional[Any]      			= uncond_embeddings.view(batch_size * num_images_per_prompt					,  UpperCamelCase__					)

                  lowerCamelCase       :				Any      			= uncond_text_encoder_hidden_states.shape[1]
                  lowerCamelCase       :				int      			= uncond_text_encoder_hidden_states.repeat(1					,  UpperCamelCase__					,  1					)
                  lowerCamelCase       :				Tuple      			= uncond_text_encoder_hidden_states.view(
                      batch_size * num_images_per_prompt					,  UpperCamelCase__					,  -1					)
                  lowerCamelCase       :				List[str]      			= uncond_text_mask.repeat_interleave(UpperCamelCase__					,  dim=0					)

                  # done duplicates

                  # For classifier free guidance, we need to do two forward passes.
                  # Here we concatenate the unconditional and text embeddings into a single batch
                  # to avoid doing two forward passes
                  lowerCamelCase       :				int      			= torch.cat([uncond_embeddings, text_embeddings]					)
                  lowerCamelCase       :				str      			= torch.cat([uncond_text_encoder_hidden_states, text_encoder_hidden_states]					)

                  lowerCamelCase       :				Dict      			= torch.cat([uncond_text_mask, text_mask]					)

           return text_embeddings, text_encoder_hidden_states, text_mask







    @property
    def    _lowercase					(   self					)					->				Any:
           if self.device != torch.device("meta"					) or not hasattr(self.prior					,  "_hf_hook"					):
                  return self.device
           for module in self.prior.modules():
                  if (
                      hasattr(UpperCamelCase__					,  "_hf_hook"					)
                      and hasattr(module._hf_hook					,  "execution_device"					)
                      and module._hf_hook.execution_device is not None
                  ):
                         return torch.device(module._hf_hook.execution_device					)
           return self.device







    def    _lowercase					(   self					,  UpperCamelCase__					,  UpperCamelCase__					,  UpperCamelCase__					,  UpperCamelCase__					,  UpperCamelCase__					,  UpperCamelCase__					)					->				Any:
           if latents is None:
                  lowerCamelCase       :				Any      			= randn_tensor(UpperCamelCase__					,  generator=UpperCamelCase__					,  device=UpperCamelCase__					,  dtype=UpperCamelCase__					)
           else:
                  if latents.shape != shape:
                         raise ValueError(F'''Unexpected latents shape, got {latents.shape}, expected {shape}'''					)
                  lowerCamelCase       :				Any      			= latents.to(UpperCamelCase__					)

           lowerCamelCase       :				List[str]      			= latents * scheduler.init_noise_sigma
           return latents







    def    _lowercase					(   self					,  UpperCamelCase__ = None					)					->				str:
           self.decoder_pipe.to(UpperCamelCase__					)
           super().to(UpperCamelCase__					)







    @torch.no_grad()
    def __call__(   self					,  UpperCamelCase__ = None					,  UpperCamelCase__ = None					,  UpperCamelCase__ = None					,  UpperCamelCase__ = 1					,  UpperCamelCase__ = 25					,  UpperCamelCase__ = None					,  UpperCamelCase__ = None					,  UpperCamelCase__ = None					,  UpperCamelCase__ = None					,  UpperCamelCase__ = 4.0					,  UpperCamelCase__ = 8.0					,  UpperCamelCase__ = 50					,  UpperCamelCase__ = 1					,  UpperCamelCase__ = 0.0					,  UpperCamelCase__ = "pil"					,  UpperCamelCase__ = True					,  )					->				Union[str, Any]:
           if prompt is not None:
                  if isinstance(UpperCamelCase__					,  UpperCamelCase__					):
                         lowerCamelCase       :				Union[str, Any]      			= 1
                  elif isinstance(UpperCamelCase__					,  UpperCamelCase__					):
                         lowerCamelCase       :				int      			= len(UpperCamelCase__					)
                  else:
                         raise ValueError(F'''`prompt` has to be of type `str` or `list` but is {type(UpperCamelCase__					)}'''					)
           else:
                  lowerCamelCase       :				Any      			= text_model_output[0].shape[0]

           lowerCamelCase       :				str      			= self._execution_device

           lowerCamelCase       :				Optional[Any]      			= batch_size * num_images_per_prompt

           lowerCamelCase       :				int      			= prior_guidance_scale > 1.0 or decoder_guidance_scale > 1.0

           lowerCamelCase			,				lowerCamelCase			,				lowerCamelCase       :				Tuple      			= self._encode_prompt(
               UpperCamelCase__					,  UpperCamelCase__					,  UpperCamelCase__					,  UpperCamelCase__					,  UpperCamelCase__					,  UpperCamelCase__					)

           # prior

           self.prior_scheduler.set_timesteps(UpperCamelCase__					,  device=UpperCamelCase__					)
           lowerCamelCase       :				Optional[int]      			= self.prior_scheduler.timesteps

           lowerCamelCase       :				List[Any]      			= self.prior.config.embedding_dim

           lowerCamelCase       :				Dict      			= self.prepare_latents(
               (batch_size, embedding_dim)					,  text_embeddings.dtype					,  UpperCamelCase__					,  UpperCamelCase__					,  UpperCamelCase__					,  self.prior_scheduler					,  )

           for i, t in enumerate(self.progress_bar(UpperCamelCase__					)					):
                  # expand the latents if we are doing classifier free guidance
                  lowerCamelCase       :				Tuple      			= torch.cat([prior_latents] * 2					) if do_classifier_free_guidance else prior_latents

                  lowerCamelCase       :				List[Any]      			= self.prior(
                      UpperCamelCase__					,  timestep=UpperCamelCase__					,  proj_embedding=UpperCamelCase__					,  encoder_hidden_states=UpperCamelCase__					,  attention_mask=UpperCamelCase__					,  ).predicted_image_embedding

                  if do_classifier_free_guidance:
                         lowerCamelCase			,				lowerCamelCase       :				List[Any]      			= predicted_image_embedding.chunk(2					)
                         lowerCamelCase       :				Optional[Any]      			= predicted_image_embedding_uncond + prior_guidance_scale * (
                             predicted_image_embedding_text - predicted_image_embedding_uncond
                         )

                  if i + 1 == prior_timesteps_tensor.shape[0]:
                         lowerCamelCase       :				Union[str, Any]      			= None
                  else:
                         lowerCamelCase       :				Dict      			= prior_timesteps_tensor[i + 1]

                  lowerCamelCase       :				Optional[int]      			= self.prior_scheduler.step(
                      UpperCamelCase__					,  timestep=UpperCamelCase__					,  sample=UpperCamelCase__					,  generator=UpperCamelCase__					,  prev_timestep=UpperCamelCase__					,  ).prev_sample

           lowerCamelCase       :				Tuple      			= self.prior.post_process_latents(UpperCamelCase__					)

           lowerCamelCase       :				Any      			= prior_latents

           lowerCamelCase       :				Union[str, Any]      			= self.decoder_pipe(
               image=UpperCamelCase__					,  height=UpperCamelCase__					,  width=UpperCamelCase__					,  num_inference_steps=UpperCamelCase__					,  guidance_scale=UpperCamelCase__					,  generator=UpperCamelCase__					,  output_type=UpperCamelCase__					,  return_dict=UpperCamelCase__					,  num_images_per_prompt=UpperCamelCase__					,  eta=UpperCamelCase__					,  )
           return output






