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""" |
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Class for approximating the solution to two-point boundary value problems using |
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B-splines as basis functions. |
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@author: davidrpugh |
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""" |
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import functools |
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from scipy import interpolate |
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from . import basis_functions |
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class BSplineBasis(basis_functions.BasisFunctionLike): |
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@staticmethod |
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def _basis_spline_factory(coef, degree, knots, der, ext): |
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"""Return a B-Spline given some coefficients.""" |
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return functools.partial(interpolate.splev, tck=(knots, coef, degree), der=der, ext=ext) |
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@classmethod |
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def derivatives_factory(cls, coef, degree, knots, ext, **kwargs): |
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""" |
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Given some coefficients, return a the derivative of a B-spline. |
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""" |
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return cls._basis_spline_factory(coef, degree, knots, 1, ext) |
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@classmethod |
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def fit(cls, *args, **kwargs): |
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"""Possibly just wrap interpolate.splprep?""" |
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return interpolate.splprep(*args, **kwargs) |
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@classmethod |
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def functions_factory(cls, coef, degree, knots, ext, **kwargs): |
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""" |
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Given some coefficients, return a B-spline. |
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""" |
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return cls._basis_spline_factory(coef, degree, knots, 0, ext) |
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