






'''simple docstring'''

from math import factorial, pi






def 	_UpperCAmelCase    (  a		:	float						,			a		:	int = 3_0							)			->			float:





						"""simple docstring"""

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

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

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






def 	_UpperCAmelCase    (  a		:	float						,			a		:	int = 3_0							)			->			float:





						"""simple docstring"""

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

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

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


if __name__ == "__main__":
						import doctest

						doctest.testmod()

						print(maclaurin_sin(1_0))
						print(maclaurin_sin(-1_0))
						print(maclaurin_sin(1_0, 1_5))
						print(maclaurin_sin(-1_0, 1_5))

						print(maclaurin_cos(5))
						print(maclaurin_cos(-5))
						print(maclaurin_cos(1_0, 1_5))
						print(maclaurin_cos(-1_0, 1_5))








'''simple docstring'''

from typing import TYPE_CHECKING

from ..utils import _LazyModule


A:      int  				=				{
    "config": [
        "EXTERNAL_DATA_FORMAT_SIZE_LIMIT",
        "OnnxConfig",
        "OnnxConfigWithPast",
        "OnnxSeq2SeqConfigWithPast",
        "PatchingSpec",
    ],
    "convert": ["export", "validate_model_outputs"],
    "features": ["FeaturesManager"],
    "utils": ["ParameterFormat", "compute_serialized_parameters_size"],
}


if TYPE_CHECKING:
						from .config import (
						    EXTERNAL_DATA_FORMAT_SIZE_LIMIT,
						    OnnxConfig,
						    OnnxConfigWithPast,
						    OnnxSeqaSeqConfigWithPast,
						    PatchingSpec,
						)
						from .convert import export, validate_model_outputs
						from .features import FeaturesManager
						from .utils import ParameterFormat, compute_serialized_parameters_size

else:
						import sys

						A:      Dict  				=				_LazyModule(__name__, globals()["__file__"], _import_structure, module_spec=__spec__)
