BasisType.h

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///////////////////////////////////////////////////////////////////////////////
//
// File BasisType.h
//
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// 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).
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#ifndef NEKTAR_LIB_UTILITIES_BASIS_TYPE_H
#define NEKTAR_LIB_UTILITIES_BASIS_TYPE_H


namespace Nektar
{    
    namespace 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$
            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
        };
    }
}

#endif