




'''simple docstring'''






from __future__ import annotations

from collections.abc import Callable

def       __lowerCAmelCase (   snake_case__ ,				snake_case__ ,				snake_case__ ,				snake_case__ = 100 ,				):
			__UpperCamelCase				:      str									=       x_start
			__UpperCamelCase				:      List[str]									=       fnc(snake_case__						)
			__UpperCamelCase				:      List[Any]									=       0.0

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

						# Increment step
						__UpperCamelCase				:      Dict									=       xa
						__UpperCamelCase				:      Optional[int]									=       fxa
			return area


if __name__ == "__main__":

				def       __lowerCAmelCase (   snake_case__						):
							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 <= 100000:
								_lowerCAmelCase				     = trapezoidal_area(f, -5, 5, i)
								print(f'with {i} steps: {area}')
								i *= 10









'''simple docstring'''






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__)



