
import mpmath  # for roots of unity
import numpy as np






class     UpperCAmelCase						:



   def __init__(self						:   Any       ,		snake_case__						:   List[Any]=None       ,		snake_case__						:   int=None					)						->      Dict:


          '''simple docstring'''


          snake_case			:  int     							= list(poly_a or [0]					)[:]
          snake_case			:  str     							= list(poly_b or [0]					)[:]

          # Remove leading zero coefficients
          while self.polyA[-1] == 0:
                 self.polyA.pop()
          snake_case			:  str     							= len(self.polyA					)

          while self.polyB[-1] == 0:
                 self.polyB.pop()
          snake_case			:  Optional[Any]     							= len(self.polyB					)

          # Add 0 to make lengths equal a power of 2
          snake_case			:  Optional[Any]     							= int(
              2 ** np.ceil(np.loga(len(self.polyA					) + len(self.polyB					) - 1					)					)					)

          while len(self.polyA					) < self.c_max_length:
                 self.polyA.append(0					)
          while len(self.polyB					) < self.c_max_length:
                 self.polyB.append(0					)
          # A complex root used for the fourier transform
          snake_case			:  int     							= complex(mpmath.root(x=1       ,		n=self.c_max_length       ,		k=1					)					)

          # The product
          snake_case			:  Optional[Any]     							= self.__multiply()



   def 							_SCREAMING_SNAKE_CASE  (self						:   Any       ,		snake_case__						:   Optional[Any]					)						->      Dict:


          '''simple docstring'''


          snake_case			:  Optional[int]     							= [[x] for x in self.polyA] if which == "A" else [[x] for x in self.polyB]
          # Corner case
          if len(snake_case__					) <= 1:
                 return dft[0]
          #
          snake_case			:  Union[str, Any]     							= self.c_max_length // 2
          while next_ncol > 0:
                 snake_case			:  Optional[int]     							= [[] for i in range(snake_case__					)]
                 snake_case			:  Tuple     							= self.root**next_ncol

                 # First half of next step
                 snake_case			:  Dict     							= 1
                 for j in range(self.c_max_length // (next_ncol * 2)					):
                        for i in range(snake_case__					):
                               new_dft[i].append(dft[i][j] + current_root * dft[i + next_ncol][j]					)
                        current_root *= root
                 # Second half of next step
                 snake_case			:  Tuple     							= 1
                 for j in range(self.c_max_length // (next_ncol * 2)					):
                        for i in range(snake_case__					):
                               new_dft[i].append(dft[i][j] - current_root * dft[i + next_ncol][j]					)
                        current_root *= root
                 # Update
                 snake_case			:  List[Any]     							= new_dft
                 snake_case			:  Optional[int]     							= next_ncol // 2
          return dft[0]



   def 							_SCREAMING_SNAKE_CASE  (self						:   Dict					)						->      Union[str, Any]:


          '''simple docstring'''


          snake_case			:  Union[str, Any]     							= self.__dft("A"					)
          snake_case			:  Optional[int]     							= self.__dft("B"					)
          snake_case			:  List[Any]     							= [[dft_a[i] * dft_b[i] for i in range(self.c_max_length					)]]
          del dft_a
          del dft_b

          # Corner Case
          if len(inverce_c[0]					) <= 1:
                 return inverce_c[0]
          # Inverse DFT
          snake_case			:  Any     							= 2
          while next_ncol <= self.c_max_length:
                 snake_case			:  Any     							= [[] for i in range(snake_case__					)]
                 snake_case			:  str     							= self.root ** (next_ncol // 2)
                 snake_case			:  int     							= 1
                 # First half of next step
                 for j in range(self.c_max_length // next_ncol					):
                        for i in range(next_ncol // 2					):
                               # Even positions
                               new_inverse_c[i].append(
                                   (
                                       inverce_c[i][j]
                                       + inverce_c[i][j + self.c_max_length // next_ncol]
                                   )
                                   / 2					)
                               # Odd positions
                               new_inverse_c[i + next_ncol // 2].append(
                                   (
                                       inverce_c[i][j]
                                       - inverce_c[i][j + self.c_max_length // next_ncol]
                                   )
                                   / (2 * current_root)					)
                        current_root *= root
                 # Update
                 snake_case			:  List[str]     							= new_inverse_c
                 next_ncol *= 2
          # Unpack
          snake_case			:  Union[str, Any]     							= [round(x[0].real       ,		8					) + round(x[0].imag       ,		8					) * 1j for x in inverce_c]

          # Remove leading 0's
          while inverce_c[-1] == 0:
                 inverce_c.pop()
          return inverce_c



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


          '''simple docstring'''


          snake_case			:  List[str]     							= "A = " + " + ".join(
              f"""{coef}*x^{i}""" for coef, i in enumerate(self.polyA[: self.len_A]					)					)
          snake_case			:  Union[str, Any]     							= "B = " + " + ".join(
              f"""{coef}*x^{i}""" for coef, i in enumerate(self.polyB[: self.len_B]					)					)
          snake_case			:  List[Any]     							= "A*B = " + " + ".join(
              f"""{coef}*x^{i}""" for coef, i in enumerate(self.product					)					)

          return f"""{a}\n{b}\n{c}"""


# Unit tests
if __name__ == "__main__":
   import doctest

   doctest.testmod()







from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available, is_vision_available


__lowerCamelCase				=			{
    """configuration_chinese_clip""": [
        """CHINESE_CLIP_PRETRAINED_CONFIG_ARCHIVE_MAP""",
        """ChineseCLIPConfig""",
        """ChineseCLIPOnnxConfig""",
        """ChineseCLIPTextConfig""",
        """ChineseCLIPVisionConfig""",
    ],
    """processing_chinese_clip""": ["""ChineseCLIPProcessor"""],
}

try:
   if not is_vision_available():
      raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
   pass
else:
   __lowerCamelCase				=			["""ChineseCLIPFeatureExtractor"""]
   __lowerCamelCase				=			["""ChineseCLIPImageProcessor"""]

try:
   if not is_torch_available():
      raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
   pass
else:
   __lowerCamelCase				=			[
       """CHINESE_CLIP_PRETRAINED_MODEL_ARCHIVE_LIST""",
       """ChineseCLIPModel""",
       """ChineseCLIPPreTrainedModel""",
       """ChineseCLIPTextModel""",
       """ChineseCLIPVisionModel""",
   ]

if TYPE_CHECKING:
   from .configuration_chinese_clip import (
       CHINESE_CLIP_PRETRAINED_CONFIG_ARCHIVE_MAP,
       ChineseCLIPConfig,
       ChineseCLIPOnnxConfig,
       ChineseCLIPTextConfig,
       ChineseCLIPVisionConfig,
   )
   from .processing_chinese_clip import ChineseCLIPProcessor

   try:
      if not is_vision_available():
         raise OptionalDependencyNotAvailable()
   except OptionalDependencyNotAvailable:
      pass
   else:
      from .feature_extraction_chinese_clip import ChineseCLIPFeatureExtractor, ChineseCLIPImageProcessor

   try:
      if not is_torch_available():
         raise OptionalDependencyNotAvailable()
   except OptionalDependencyNotAvailable:
      pass
   else:
      from .modeling_chinese_clip import (
          CHINESE_CLIP_PRETRAINED_MODEL_ARCHIVE_LIST,
          ChineseCLIPModel,
          ChineseCLIPPreTrainedModel,
          ChineseCLIPTextModel,
          ChineseCLIPVisionModel,
      )

else:
   import sys

   __lowerCamelCase				=			_LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)





