legendre.h

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/* Copyright (C) 2003-2012 Oliver Lemke  <olemke@core-dump.info>
 
   This program is free software; you can redistribute it and/or modify it
   under the terms of the GNU General Public License as published by the
   Free Software Foundation; either version 2, or (at your option) any
   later version.
 
   This program is distributed in the hope that it will be useful,
   but WITHOUT ANY WARRANTY; without even the implied warranty of
   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
   GNU General Public License for more details.
 
   You should have received a copy of the GNU General Public License
   along with this program; if not, write to the Free Software
   Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307,
   USA.
 */
 
//   File description
 
#ifndef legendre_h
#define legendre_h
 
#include "arts.h"
#include "grids.h"
#include "matpackI.h"
 
struct gsl_integration_glfixed_table {
  size_t n;        /* number of points */
  double* x;       /* Gauss abscissae/points */
  double* w;       /* Gauss weights for each abscissae */
  int precomputed; /* high precision abscissae/weights precomputed? */
};
 
bool gsl_integration_glfixed_table_alloc(Vector& x, Vector& w, Index n);
 
 
namespace Legendre {
 
struct SphericalField {
  Numeric U{0};
  Numeric S{0};
  Numeric E{0};
  
  Numeric total() const noexcept {return std::hypot(U, S, E);}
  
  Numeric total_horizontal() const noexcept {return std::hypot(S, E);}
  
  constexpr SphericalField() noexcept = default;
};
 
 
using MatrixOfSphericalField = Grid<SphericalField, 2>;
 
 
SphericalField schmidt_fieldcalc(const Matrix& g, const Matrix& h, const Numeric r0, const Numeric r, const Numeric lat, const Numeric lon) ARTS_NOEXCEPT;
 
 
MatrixOfSphericalField schmidt_fieldcalc(const Matrix& g, const Matrix& h, const Numeric r0, const Vector& r, const Numeric lat, const Vector& lon) ARTS_NOEXCEPT;
} // namespace Legendre
 
#endif /* legendre_h */