


from math import factorial, pi



def  _a			(						__UpperCamelCase  ,  __UpperCamelCase = 3_0 ):







					if not isinstance(__UpperCamelCase  ,  (int, float) ):
										raise ValueError("""maclaurin_sin() requires either an int or float for theta""" )

					if not isinstance(__UpperCamelCase  ,  __UpperCamelCase ) or accuracy <= 0:
										raise ValueError("""maclaurin_sin() requires a positive int for accuracy""" )

					a_    :     Dict										=    float(__UpperCamelCase )
					a_    :     int										=    theta // (2 * pi)
					theta -= 2 * div * pi
					return sum(
					    (-1) ** r * theta ** (2 * r + 1) / factorial(2 * r + 1 ) for r in range(__UpperCamelCase ) )



def  _a			(						__UpperCamelCase  ,  __UpperCamelCase = 3_0 ):







					if not isinstance(__UpperCamelCase  ,  (int, float) ):
										raise ValueError("""maclaurin_cos() requires either an int or float for theta""" )

					if not isinstance(__UpperCamelCase  ,  __UpperCamelCase ) or accuracy <= 0:
										raise ValueError("""maclaurin_cos() requires a positive int for accuracy""" )

					a_    :     int										=    float(__UpperCamelCase )
					a_    :     Optional[int]										=    theta // (2 * pi)
					theta -= 2 * div * pi
					return sum((-1) ** r * theta ** (2 * r) / factorial(2 * r ) for r in range(__UpperCamelCase ) )


if __name__ == "__main__":
							import doctest

							doctest.testmod()

							print(maclaurin_sin(10))
							print(maclaurin_sin(-10))
							print(maclaurin_sin(10, 15))
							print(maclaurin_sin(-10, 15))

							print(maclaurin_cos(5))
							print(maclaurin_cos(-5))
							print(maclaurin_cos(10, 15))
							print(maclaurin_cos(-10, 15))







from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


__lowerCamelCase        =     {
    '''configuration_pegasus_x''': ['''PEGASUS_X_PRETRAINED_CONFIG_ARCHIVE_MAP''', '''PegasusXConfig'''],
}

try:
       if not is_torch_available():
              raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
       pass
else:
       __lowerCamelCase        =     [
           '''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

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



