OrthogonalPoly.h

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// Gmsh - Copyright (C) 1997-2022 C. Geuzaine, J.-F. Remacle
//
// See the LICENSE.txt file in the Gmsh root directory for license information.
// Please report all issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
 
#ifndef _ORTHOGONALPOLY_H_
#define _ORTHOGONALPOLY_H_
 
#include <math.h>
#include <string>
 
namespace OrthogonalPoly {
 
  // Lobatto Orthogonal Shape Functions in Horner's form
  double EvalLobatto(int order, double x);
  // derivative of lobatto orthogonal shape funcions in Horner's form
  double EvalDLobatto(int order, double x);
  // Kernel functions in Horner's form
  double EvalKernelFunction(int order, double x);
  // derivative of Kernel functions in Horner's form
  double EvalDKernelFunction(int order, double x);
  // Legendre Functions in Horner's form
  double EvalLegendre(int order, double x);
  // derivative of Legendre  Functions in Horner's form
  double EvalDLegendre(int order, double x);
 
}; // namespace OrthogonalPoly
 
#endif