




'''simple docstring'''


from collections.abc import Callable
def 						lowerCamelCase__   (				a    ,	a    ,	a							):
						__snake_case						 =   a
						__snake_case						 =   b
						if function(a							) == 0:  # one of the a or b is a root for the function
												return a
						elif function(a							) == 0:
												return b
						elif (
						    function(a							) * function(a							) > 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:
												__snake_case						 =   start + (end - start) / 2.0
												while abs(start - mid							) > 10**-7:  # until precisely equals to 10^-7
																		if function(a							) == 0:
																								return mid
																		elif function(a							) * function(a							) < 0:
																								__snake_case						 =   mid
																		else:
																								__snake_case						 =   mid
																		__snake_case						 =   start + (end - start) / 2.0
												return mid
def 						lowerCamelCase__   (				a							):
						return x**3 - 2 * x - 5


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

	import doctest

	doctest.testmod()







'''simple docstring'''


from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


_lowercase  =			{
    """configuration_pegasus_x""": ["""PEGASUS_X_PRETRAINED_CONFIG_ARCHIVE_MAP""", """PegasusXConfig"""],
}

try:
	if not is_torch_available():
		raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
	pass
else:
	_lowercase  =			[
	    """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

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

