SphericalHarmonic.hpp

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 * SUPPORT OPEN SCIENCE!  If you use OpenMD or its source code in your
 * research, please cite the following paper when you publish your work:
 *
 * [1] Drisko et al., J. Open Source Softw. 9, 7004 (2024).
 *
 * Good starting points for code and simulation methodology are:
 *
 * [2] Meineke, et al., J. Comp. Chem. 26, 252-271 (2005).
 * [3] Fennell & Gezelter, J. Chem. Phys. 124, 234104 (2006).
 * [4] Sun, Lin & Gezelter, J. Chem. Phys. 128, 234107 (2008).
 * [5] Vardeman, Stocker & Gezelter, J. Chem. Theory Comput. 7, 834 (2011).
 * [6] Kuang & Gezelter, Mol. Phys., 110, 691-701 (2012).
 * [7] Lamichhane, Gezelter & Newman, J. Chem. Phys. 141, 134109 (2014).
 * [8] Bhattarai, Newman & Gezelter, Phys. Rev. B 99, 094106 (2019).
 * [9] Drisko & Gezelter, J. Chem. Theory Comput. 20, 4986-4997 (2024).
 */
 
/**
 * @file SphericalHarmonic.hpp
 * @author Dan Gezelter
 * @date 09/20/2006
 * @version 1.0
 */
 
#ifndef MATH_SPHERICALHARMONIC_HPP
#define MATH_SPHERICALHARMONIC_HPP
 
#include <config.h>
 
#include <cmath>
#include <complex>
#include <cstring>
 
#ifdef SINGLE_PRECISION
using ComplexType = std::complex<float>;
#else
using ComplexType = std::complex<double>;
#endif
 
namespace OpenMD {
  class SphericalHarmonic {
  public:
    SphericalHarmonic();
    virtual ~SphericalHarmonic() {}
 
    void setL(int theL) { L = theL; };
    int getL() { return L; }
 
    void setM(int theM) { M = theM; };
    int getM() { return M; }
 
    ComplexType getValueAt(RealType costheta, RealType phi);
 
  protected:
    RealType LegendreP(int l, int m, RealType x);
    RealType Legendre(int l, int m, RealType x);
    RealType Ptilde(int l, int m, RealType x);
    RealType mpow(int j);
    RealType Fact(int j);
 
    int L;
    int M;
  };
}  // namespace OpenMD
 
#endif