///////////////////////////////////////////////////////////////////////////////
//
// File: BasisType.h
//
// For more information, please see: http://www.nektar.info
//
// The MIT License
//
// Copyright (c) 2006 Division of Applied Mathematics, Brown University (USA),
// Department of Aeronautics, Imperial College London (UK), and Scientific
// Computing and Imaging Institute, University of Utah (USA).
//
// Permission is hereby granted, free of charge, to any person obtaining a
// copy of this software and associated documentation files (the "Software"),
// to deal in the Software without restriction, including without limitation
// the rights to use, copy, modify, merge, publish, distribute, sublicense,
// and/or sell copies of the Software, and to permit persons to whom the
// Software is furnished to do so, subject to the following conditions:
//
// The above copyright notice and this permission notice shall be included
// in all copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
// THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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//
//
///////////////////////////////////////////////////////////////////////////////

#ifndef NEKTAR_LIB_UTILITIES_BASIS_TYPE_H
#define NEKTAR_LIB_UTILITIES_BASIS_TYPE_H

namespace Nektar::LibUtilities
{
enum BasisType
{
    eNoBasisType,
    eOrtho_A,        //!< Principle Orthogonal Functions
                     //!< \f$\widetilde{\psi}^a_p(z_i)\f$
    eOrtho_B,        //!< Principle Orthogonal Functions
                     //!< \f$\widetilde{\psi}^b_{pq}(z_i)\f$
    eOrtho_C,        //!< Principle Orthogonal Functions
                     //!< \f$\widetilde{\psi}^c_{pqr}(z_i)\f$
    eModified_A,     //!< Principle Modified Functions \f$ \phi^a_p(z_i) \f$
    eModified_B,     //!< Principle Modified Functions \f$ \phi^b_{pq}(z_i) \f$
    eModified_C,     //!< Principle Modified Functions \f$ \phi^c_{pqr}(z_i) \f$
    eOrthoPyr_C,     //!< Principle Orthogonal Functions
                     //!< \f$\widetilde{\psi}^c_{pqr}(z_i) for Pyramids\f$
    eModifiedPyr_C,  //!< Principle Modified Functions \f$ \phi^c_{pqr}(z_i) for
                     //!< Pyramids\f$
    eFourier,        //!< Fourier Expansion \f$ \exp(i p\pi  z_i)\f$
    eGLL_Lagrange,   //!< Lagrange for SEM basis \f$ h_p(z_i) \f$
    eGauss_Lagrange, //!< Lagrange Polynomials using the Gauss points \f$
                     //!< h_p(z_i) \f$
    eLegendre,  //!< Legendre Polynomials \f$ L_p(z_i) = P^{0,0}_p(z_i)\f$. Same
                //!< as Ortho_A
    eChebyshev, //!< Chebyshev Polynomials \f$ T_p(z_i) =
                //!< P^{-1/2,-1/2}_p(z_i)\f$
    eMonomial,  //!< Monomial polynomials \f$ L_p(z_i) = z_i^{p}\f$
    eFourierSingleMode, //!< Fourier ModifiedExpansion with just the first mode
                        //!< \f$ \exp(i \pi  z_i)\f$
    eFourierHalfModeRe, //!< Fourier Modified expansions with just the real part
                        //!< of the first mode  \f$ Re[\exp(i \pi  z_i)]\f$
    eFourierHalfModeIm, //!< Fourier Modified expansions with just the imaginary
                        //!< part of the first mode  \f$ Im[\exp(i \pi  z_i)]\f$
    SIZE_BasisType      //!< Length of enum list
};
} // namespace Nektar::LibUtilities

#endif
