




from math import factorial, pi

def      A      (      _SCREAMING_SNAKE_CASE ,_SCREAMING_SNAKE_CASE = 30    )	-> float:

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

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

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

def      A      (      _SCREAMING_SNAKE_CASE ,_SCREAMING_SNAKE_CASE = 30    )	-> float:

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

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

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


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_sentencepiece_available,
    is_tokenizers_available,
    is_torch_available,
    is_vision_available,
)


SCREAMING_SNAKE_CASE__       :      List[Any]  =   {'processing_layoutxlm': ['LayoutXLMProcessor']}

try:
       if not is_sentencepiece_available():
              raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
       pass
else:
       SCREAMING_SNAKE_CASE__       :      Optional[Any]  =   ['LayoutXLMTokenizer']

try:
       if not is_tokenizers_available():
              raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
       pass
else:
       SCREAMING_SNAKE_CASE__       :      Dict  =   ['LayoutXLMTokenizerFast']

if TYPE_CHECKING:
       from .processing_layoutxlm import LayoutXLMProcessor

       try:
              if not is_sentencepiece_available():
                     raise OptionalDependencyNotAvailable()
       except OptionalDependencyNotAvailable:
              pass
       else:
              from .tokenization_layoutxlm import LayoutXLMTokenizer

       try:
              if not is_tokenizers_available():
                     raise OptionalDependencyNotAvailable()
       except OptionalDependencyNotAvailable:
              pass
       else:
              from .tokenization_layoutxlm_fast import LayoutXLMTokenizerFast

else:
       import sys

       SCREAMING_SNAKE_CASE__       :      str  =   _LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)






