from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


A     :  Optional[int]					     =       {
    "configuration_pegasus_x": ["PEGASUS_X_PRETRAINED_CONFIG_ARCHIVE_MAP", "PegasusXConfig"],
}

try:
      if not is_torch_available():
            raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
      pass
else:
      A     :  Dict					     =       [
          "PEGASUS_X_PRETRAINED_MODEL_ARCHIVE_LIST",
          "PegasusXForConditionalGeneration",
          "PegasusXModel",
          "PegasusXPreTrainedModel",
      ]


if TYPE_CHECKING:
      from .configuration_pegasus_x import PEGASUS_X_PRETRAINED_CONFIG_ARCHIVE_MAP, PegasusXConfig

      try:
            if not is_torch_available():
                  raise OptionalDependencyNotAvailable()
      except OptionalDependencyNotAvailable:
            pass
      else:
            from .modeling_pegasus_x import (
                PEGASUS_X_PRETRAINED_MODEL_ARCHIVE_LIST,
                PegasusXForConditionalGeneration,
                PegasusXModel,
                PegasusXPreTrainedModel,
            )


else:
      import sys

      A     :  Optional[int]					     =       _LazyModule(__name__, globals()["__file__"], _import_structure, module_spec=__spec__)



from collections.abc import Callable


def      a__ (		__UpperCamelCase     ,      __UpperCamelCase     ,      __UpperCamelCase				):
      SCREAMING_SNAKE_CASE_          =  a
      SCREAMING_SNAKE_CASE_          =  b
      if function(__UpperCamelCase				) == 0:  # one of the a or b is a root for the function
            return a
      elif function(__UpperCamelCase				) == 0:
            return b
      elif (
          function(__UpperCamelCase				) * function(__UpperCamelCase				) > 0
      ):  # if none of these are root and they are both positive or negative,
            # then this algorithm can't find the root
            raise ValueError("could not find root in given interval."				)
      else:
            SCREAMING_SNAKE_CASE_          =  start + (end - start) / 2.0
            while abs(start - mid				) > 1_0**-7:  # until precisely equals to 10^-7
                  if function(__UpperCamelCase				) == 0:
                        return mid
                  elif function(__UpperCamelCase				) * function(__UpperCamelCase				) < 0:
                        SCREAMING_SNAKE_CASE_          =  mid
                  else:
                        SCREAMING_SNAKE_CASE_          =  mid
                  SCREAMING_SNAKE_CASE_          =  start + (end - start) / 2.0
            return mid


def      a__ (		__UpperCamelCase				):
      return x**3 - 2 * x - 5


if __name__ == "__main__":
      print(bisection(f, 1, 10_00))

      import doctest

      doctest.testmod()


