


"""simple docstring"""
from math import factorial




class 	lowercase__				:





   def __init__(							self      ,   SCREAMING_SNAKE_CASE      ,   SCREAMING_SNAKE_CASE)  ->  Optional[int]:
      _lowerCamelCase	:					List[Any]   =		real
      if isinstance(SCREAMING_SNAKE_CASE      ,   SCREAMING_SNAKE_CASE):
         _lowerCamelCase	:					Tuple   =		[1] * rank
      else:
         _lowerCamelCase	:					Any   =		rank





   def __repr__(							self)  ->  Optional[Any]:
      return (
          F'{self.real}+'
          F'{"+".join(str(SCREAMING_SNAKE_CASE)+"E"+str(n+1)for n,dual in enumerate(self.duals))}'
      )





   def 		UpperCamelCase_  (							self)  ->  Any:
      _lowerCamelCase	:					Optional[int]   =		self.duals.copy()
      while cur[-1] == 0:
         cur.pop(-1)
      return Dual(self.real      ,   SCREAMING_SNAKE_CASE)





   def __add__(							self      ,   SCREAMING_SNAKE_CASE)  ->  List[str]:
      if not isinstance(SCREAMING_SNAKE_CASE      ,   SCREAMING_SNAKE_CASE):
         return Dual(self.real + other      ,   self.duals)
      _lowerCamelCase	:					Optional[int]   =		self.duals.copy()
      _lowerCamelCase	:					List[Any]   =		other.duals.copy()
      if len(SCREAMING_SNAKE_CASE) > len(SCREAMING_SNAKE_CASE):
         o_dual.extend([1] * (len(SCREAMING_SNAKE_CASE) - len(SCREAMING_SNAKE_CASE)))
      elif len(SCREAMING_SNAKE_CASE) < len(SCREAMING_SNAKE_CASE):
         s_dual.extend([1] * (len(SCREAMING_SNAKE_CASE) - len(SCREAMING_SNAKE_CASE)))
      _lowerCamelCase	:					Any   =		[]
      for i in range(len(SCREAMING_SNAKE_CASE)):
         new_duals.append(s_dual[i] + o_dual[i])
      return Dual(self.real + other.real      ,   SCREAMING_SNAKE_CASE)

   __UpperCAmelCase							       =					__add__





   def __sub__(							self      ,   SCREAMING_SNAKE_CASE)  ->  Optional[int]:
      return self + other * -1





   def __mul__(							self      ,   SCREAMING_SNAKE_CASE)  ->  Optional[Any]:
      if not isinstance(SCREAMING_SNAKE_CASE      ,   SCREAMING_SNAKE_CASE):
         _lowerCamelCase	:					Union[str, Any]   =		[]
         for i in self.duals:
            new_duals.append(i * other)
         return Dual(self.real * other      ,   SCREAMING_SNAKE_CASE)
      _lowerCamelCase	:					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      ,   SCREAMING_SNAKE_CASE)

   __UpperCAmelCase							       =					__mul__





   def __truediv__(							self      ,   SCREAMING_SNAKE_CASE)  ->  Optional[int]:
      if not isinstance(SCREAMING_SNAKE_CASE      ,   SCREAMING_SNAKE_CASE):
         _lowerCamelCase	:					Union[str, Any]   =		[]
         for i in self.duals:
            new_duals.append(i / other)
         return Dual(self.real / other      ,   SCREAMING_SNAKE_CASE)
      raise ValueError





   def __floordiv__(							self      ,   SCREAMING_SNAKE_CASE)  ->  int:
      if not isinstance(SCREAMING_SNAKE_CASE      ,   SCREAMING_SNAKE_CASE):
         _lowerCamelCase	:					List[Any]   =		[]
         for i in self.duals:
            new_duals.append(i // other)
         return Dual(self.real // other      ,   SCREAMING_SNAKE_CASE)
      raise ValueError





   def __pow__(							self      ,   SCREAMING_SNAKE_CASE)  ->  Optional[Any]:
      if n < 0 or isinstance(SCREAMING_SNAKE_CASE      ,   SCREAMING_SNAKE_CASE):
         raise ValueError("""power must be a positive integer""")
      if n == 0:
         return 1
      if n == 1:
         return self
      _lowerCamelCase	:					int   =		self
      for _ in range(n - 1):
         x *= self
      return x







def 				_snake_case      (   __snake_case							:      List[Any]						, __snake_case							:      Dict						, __snake_case							:      Dict   ):




   """simple docstring"""







   if not callable(__snake_case   ):
      raise ValueError("""differentiate() requires a function as input for func"""   )
   if not isinstance(__snake_case						, (float, int)   ):
      raise ValueError("""differentiate() requires a float as input for position"""   )
   if not isinstance(__snake_case						, __snake_case   ):
      raise ValueError("""differentiate() requires an int as input for order"""   )
   _lowerCamelCase	:					Any   =		Dual(__snake_case						, 1   )
   _lowerCamelCase	:					Tuple   =		func(__snake_case   )
   if order == 0:
      return result.real
   return result.duals[order - 1] * factorial(__snake_case   )


if __name__ == "__main__":
 import doctest

 doctest.testmod()

 def 				_snake_case      (   __snake_case							:      Tuple   ):




    """simple docstring"""







    return y**2 * y**4





 print(differentiate(f, 9, 2))





"""simple docstring"""
from collections import OrderedDict
from typing import Mapping

from ...configuration_utils import PretrainedConfig
from ...onnx import OnnxConfig
from ...utils import logging


UpperCAmelCase				=						logging.get_logger(__name__)

UpperCAmelCase				=						{
    """kssteven/ibert-roberta-base""": """https://huggingface.co/kssteven/ibert-roberta-base/resolve/main/config.json""",
    """kssteven/ibert-roberta-large""": """https://huggingface.co/kssteven/ibert-roberta-large/resolve/main/config.json""",
    """kssteven/ibert-roberta-large-mnli""": (
        """https://huggingface.co/kssteven/ibert-roberta-large-mnli/resolve/main/config.json"""
    ),
}




class 	lowercase__				(					A_				):
   __UpperCAmelCase							       =					'''ibert'''





   def __init__(							self      ,   SCREAMING_SNAKE_CASE=3_0522      ,   SCREAMING_SNAKE_CASE=768      ,   SCREAMING_SNAKE_CASE=12      ,   SCREAMING_SNAKE_CASE=12      ,   SCREAMING_SNAKE_CASE=3072      ,   SCREAMING_SNAKE_CASE="gelu"      ,   SCREAMING_SNAKE_CASE=0.1      ,   SCREAMING_SNAKE_CASE=0.1      ,   SCREAMING_SNAKE_CASE=512      ,   SCREAMING_SNAKE_CASE=2      ,   SCREAMING_SNAKE_CASE=0.02      ,   SCREAMING_SNAKE_CASE=1e-1_2      ,   SCREAMING_SNAKE_CASE=1      ,   SCREAMING_SNAKE_CASE=0      ,   SCREAMING_SNAKE_CASE=2      ,   SCREAMING_SNAKE_CASE="absolute"      ,   SCREAMING_SNAKE_CASE=False      ,   SCREAMING_SNAKE_CASE="none"      ,   **SCREAMING_SNAKE_CASE      ,   )  ->  Any:
      super().__init__(pad_token_id=SCREAMING_SNAKE_CASE      ,   bos_token_id=SCREAMING_SNAKE_CASE      ,   eos_token_id=SCREAMING_SNAKE_CASE      ,   **SCREAMING_SNAKE_CASE)

      _lowerCamelCase	:					Optional[int]   =		vocab_size
      _lowerCamelCase	:					Dict   =		hidden_size
      _lowerCamelCase	:					List[str]   =		num_hidden_layers
      _lowerCamelCase	:					int   =		num_attention_heads
      _lowerCamelCase	:					Tuple   =		hidden_act
      _lowerCamelCase	:					str   =		intermediate_size
      _lowerCamelCase	:					Union[str, Any]   =		hidden_dropout_prob
      _lowerCamelCase	:					Tuple   =		attention_probs_dropout_prob
      _lowerCamelCase	:					Any   =		max_position_embeddings
      _lowerCamelCase	:					Dict   =		type_vocab_size
      _lowerCamelCase	:					List[Any]   =		initializer_range
      _lowerCamelCase	:					Dict   =		layer_norm_eps
      _lowerCamelCase	:					List[Any]   =		position_embedding_type
      _lowerCamelCase	:					Any   =		quant_mode
      _lowerCamelCase	:					List[str]   =		force_dequant







class 	lowercase__				(					A_				):





   @property
   def 		UpperCamelCase_  (							self)  ->  Mapping[str, Mapping[int, str]]:
      if self.task == "multiple-choice":
         _lowerCamelCase	:					Dict   =		{0: """batch""", 1: """choice""", 2: """sequence"""}
      else:
         _lowerCamelCase	:					Optional[int]   =		{0: """batch""", 1: """sequence"""}
      return OrderedDict(
          [
              ("""input_ids""", dynamic_axis),
              ("""attention_mask""", dynamic_axis),
          ])

