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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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                    38
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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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