


from __future__ import annotations

from collections.abc import Callable




def      a_				(   SCREAMING_SNAKE_CASE__ :				Callable[[int | float], int | float]		,      SCREAMING_SNAKE_CASE__ :				int | float		,      SCREAMING_SNAKE_CASE__ :				int | float		,      SCREAMING_SNAKE_CASE__ :				int = 100		,      ):
       '''simple docstring'''





       _lowerCamelCase	:		str          =x_start
       _lowerCamelCase	:		List[Any]          =fnc(SCREAMING_SNAKE_CASE__					)
       _lowerCamelCase	:		Dict          =0.0

       for _ in range(SCREAMING_SNAKE_CASE__					):
              # Approximates small segments of curve as linear and solve
              # for trapezoidal area
              _lowerCamelCase	:		List[str]          =(x_end - x_start) / steps + xa
              _lowerCamelCase	:		int          =fnc(SCREAMING_SNAKE_CASE__					)
              area += abs(fxa + fxa					) * (xa - xa) / 2

              # Increment step
              _lowerCamelCase	:		int          =xa
              _lowerCamelCase	:		Optional[Any]          =fxa
       return area


if __name__ == "__main__":




 def      a_				(   SCREAMING_SNAKE_CASE__ :				int					):
        '''simple docstring'''





        return x**3

 print('f(x) = x^3')
 print('The area between the curve, x = -10, x = 10 and the x axis is:')
 lowerCamelCase						 =	10
 while i <= 10_00_00:
  lowerCamelCase						 =	trapezoidal_area(f, -5, 5, i)
  print(F"""with {i} steps: {area}""")
  i *= 10






from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


lowerCamelCase						 =	{'configuration_visual_bert': ['VISUAL_BERT_PRETRAINED_CONFIG_ARCHIVE_MAP', 'VisualBertConfig']}

try:
 if not is_torch_available():
  raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
 pass
else:
 lowerCamelCase						 =	[
     'VISUAL_BERT_PRETRAINED_MODEL_ARCHIVE_LIST',
     'VisualBertForMultipleChoice',
     'VisualBertForPreTraining',
     'VisualBertForQuestionAnswering',
     'VisualBertForRegionToPhraseAlignment',
     'VisualBertForVisualReasoning',
     'VisualBertLayer',
     'VisualBertModel',
     'VisualBertPreTrainedModel',
 ]


if TYPE_CHECKING:
 from .configuration_visual_bert import VISUAL_BERT_PRETRAINED_CONFIG_ARCHIVE_MAP, VisualBertConfig

 try:
  if not is_torch_available():
   raise OptionalDependencyNotAvailable()
 except OptionalDependencyNotAvailable:
  pass
 else:
  from .modeling_visual_bert import (
      VISUAL_BERT_PRETRAINED_MODEL_ARCHIVE_LIST,
      VisualBertForMultipleChoice,
      VisualBertForPreTraining,
      VisualBertForQuestionAnswering,
      VisualBertForRegionToPhraseAlignment,
      VisualBertForVisualReasoning,
      VisualBertLayer,
      VisualBertModel,
      VisualBertPreTrainedModel,
  )


else:
 import sys

 lowerCamelCase						 =	_LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)


