

"""simple docstring"""



def  _snake_case     (    UpperCAmelCase_  :					Optional[int]					,   UpperCAmelCase_  :					Tuple			):
     # "extended trapezoidal rule"
     # int(f) = dx/2 * (f1 + 2f2 + ... + fn)
     A__										=  (boundary[1] - boundary[0]) / steps
     A__										=  boundary[0]
     A__										=  boundary[1]
     A__										=  make_points(UpperCAmelCase_					,   UpperCAmelCase_					,   UpperCAmelCase_			)
     A__										=  0.0
     y += (h / 2.0) * f(UpperCAmelCase_			)
     for i in x_i:
          # print(i)
          y += h * f(UpperCAmelCase_			)
     y += (h / 2.0) * f(UpperCAmelCase_			)
     return y





def  _snake_case     (    UpperCAmelCase_  :					int					,   UpperCAmelCase_  :					List[str]					,   UpperCAmelCase_  :					Union[str, Any]			):
     A__										=  a + h
     while x < (b - h):
          yield x
          A__										=  x + h





def  _snake_case     (    UpperCAmelCase_  :					Tuple			):  # enter your function here
     A__										=  (x - 0) * (x - 0)
     return y





def  _snake_case     (    ):
     A__										=  0.0  # Lower bound of integration
     A__										=  1.0  # Upper bound of integration
     A__										=  10.0  # define number of steps or resolution
     A__										=  [a, b]  # define boundary of integration
     A__										=  method_a(UpperCAmelCase_					,   UpperCAmelCase_			)
     print(F"""y = {y}"""			)


if __name__ == "__main__":
 main()









"""simple docstring"""



from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


SCREAMING_SNAKE_CASE_					:	Any							  =						{
    'configuration_jukebox': [
        'JUKEBOX_PRETRAINED_CONFIG_ARCHIVE_MAP',
        'JukeboxConfig',
        'JukeboxPriorConfig',
        'JukeboxVQVAEConfig',
    ],
    'tokenization_jukebox': ['JukeboxTokenizer'],
}

try:
 if not is_torch_available():
  raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
 pass
else:
 SCREAMING_SNAKE_CASE_					:	Union[str, Any]							  =						[
     'JUKEBOX_PRETRAINED_MODEL_ARCHIVE_LIST',
     'JukeboxModel',
     'JukeboxPreTrainedModel',
     'JukeboxVQVAE',
     'JukeboxPrior',
 ]

if TYPE_CHECKING:
 from .configuration_jukebox import (
     JUKEBOX_PRETRAINED_CONFIG_ARCHIVE_MAP,
     JukeboxConfig,
     JukeboxPriorConfig,
     JukeboxVQVAEConfig,
 )
 from .tokenization_jukebox import JukeboxTokenizer

 try:
  if not is_torch_available():
   raise OptionalDependencyNotAvailable()
 except OptionalDependencyNotAvailable:
  pass
 else:
  from .modeling_jukebox import (
      JUKEBOX_PRETRAINED_MODEL_ARCHIVE_LIST,
      JukeboxModel,
      JukeboxPreTrainedModel,
      JukeboxPrior,
      JukeboxVQVAE,
  )

else:
 import sys

 SCREAMING_SNAKE_CASE_					:	Optional[int]							  =						_LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)






