File BSpline.h¶

Copyright

This code is licensed under the 3-clause BSD license.

Copyright ETH Zurich, Laboratory for Physical Chemistry, Reiher Group.

See LICENSE.txt for details.

namespace Scine

This header file contains functions that allow for common notation for common things that can be done at a different degree of derivatives.

This header contains alias definitions defining which classes to use for the different degrees of derivatives.

namespace Utils

namespace BSplines¶

class BSpline

#include <BSpline.h>

Contains the standard implementation of a basis-spline curve. Evaluation and getter methods are defined so that knot vectors and control points of derivatives are calculated when they are needed.

Public Functions

BSpline()¶

BSpline(Eigen::VectorXd knotVector, Eigen::MatrixXd controlPoints, int degree)¶

Eigen::VectorXd calculateBSplineCoefficientVector(double u, int derivativeOrder = 0) const¶

Coefficients calculateBSplineCoefficients(double u, int derivativeOrder = 0) const¶

Eigen::VectorXd front() const: Return the value at u = 0.0.

Eigen::VectorXd back() const: Return the value at u = 1.0.

Eigen::VectorXd evaluate(double u, int derivativeOrder = 0) const¶

Eigen::VectorXd operator()(double u) const¶

Eigen::VectorXd evaluateNaive(double u, int derivativeOrder = 0) const¶

void reverse()¶

BSpline reversed() const¶

int getDegree() const¶

int getOrder() const¶

int getDim() const¶

int controlPointCount() const¶

int getHighestCalculatedDerivative() const¶

BSpline getDerivativeBSpline(int derivativeOrder)¶

const Eigen::VectorXd &getKnotVector() const¶

const Eigen::VectorXd &getKnotVectorDerivative(int derivativeOrder) const¶

const Eigen::MatrixXd &getControlPointMatrix() const¶

const Eigen::VectorXd &deriveAndGetKnotVector(int derivativeOrder)¶

const Eigen::MatrixXd &deriveAndGetControlPointMatrix(int derivativeOrder)¶

bool isClampedAndNormed() const¶

Private Functions

void calculateDerivatives(int highestDerivativeToCalculate) const¶

const Eigen::MatrixXd &getControlPointMatrix(int k) const¶

Eigen::VectorXd deBoorCoefficient(double u, int i, int p, int k = 0) const¶

void deriveKnotVectors(int highestDerivativeToCalculate) const¶

Eigen::VectorXd deriveControlPoint(int i, int highestDerivativeToCalculate) const¶

void deriveControlPointMatrices(int highestDerivativeToCalculate) const¶

int findIdxOfLowerOrEqualDomainKnot(double u, int k) const¶

Private Members

int p_ = {0}¶

int n_ = {0}¶

int dim_ = {0}¶

int highestCalculatedDerivative_ = 0¶

std::vector<Eigen::VectorXd> Uk_¶

std::vector<Eigen::MatrixXd> Pk_¶