BSpline.h

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//* This file is part of the MOOSE framework
//* https://mooseframework.inl.gov
//*
//* All rights reserved, see COPYRIGHT for full restrictions
//* https://github.com/idaholab/moose/blob/master/COPYRIGHT
//*
//* Licensed under LGPL 2.1, please see LICENSE for details
//* https://www.gnu.org/licenses/lgpl-2.1.html

#pragma once

#include "libMeshReducedNamespace.h"
#include "libmesh/point.h"
#include <vector>

namespace Moose
{
class BSpline
{
public:
  BSpline(const unsigned int degree,
          const libMesh::Point & start_point,
          const libMesh::Point & end_point,
          const libMesh::RealVectorValue & start_direction,
          const libMesh::RealVectorValue & end_direction,
          const unsigned int cps_per_half,
          const libMesh::Real sharpness);

  libMesh::Point getPoint(const libMesh::Real t) const;

private:
  std::vector<libMesh::Real> buildKnotVector() const;

  std::vector<libMesh::Point> createControlPoints() const;

  libMesh::Real CdBBasis(const libMesh::Real t, const unsigned int i, const unsigned int j) const;

  libMesh::Real firstCoeff(const libMesh::Real t, const unsigned int i, const unsigned int j) const;

  libMesh::Real
  secondCoeff(const libMesh::Real t, const unsigned int i, const unsigned int j) const;

  const unsigned int _degree;
  const libMesh::Point _start_point;
  const libMesh::Point _end_point;
  const libMesh::RealVectorValue _start_dir;
  const libMesh::RealVectorValue _end_dir;
  const unsigned int _cps_per_half;
  const libMesh::Real _sharpness;
  const std::vector<libMesh::Point> _control_points;
  const std::vector<libMesh::Real> _knot_vector;
};
}