linalg.hpp

/*******************************************************************************
 *
 * TRIQS: a Toolbox for Research in Interacting Quantum Systems
 *
 * Copyright (C) 2017, H. U.R. Strand
 *
 * TRIQS 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 3 of the License, or (at your option) any later
 * version.
 *
 * TRIQS 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
 * TRIQS. If not, see <http://www.gnu.org/licenses/>.
 *
 ******************************************************************************/
#pragma once
 
#include <nda/nda.hpp>
#include <triqs/gfs.hpp>
#include <triqs/mesh.hpp>
 
using namespace triqs::gfs;
using namespace triqs::mesh;
using namespace nda;
 
#include "channel_grouping.hpp"
#include "types.hpp"
 
namespace triqs_tprf {
 
  using g2_n_t   = gf<imfreq, tensor_valued<4>>;
  using g2_n_vt  = g2_n_t::view_type;
  using g2_n_cvt = g2_n_t::const_view_type;
 
  using g2_nn_t   = gf<prod<imfreq, imfreq>, tensor_valued<4>>;
  using g2_nn_vt  = g2_nn_t::view_type;
  using g2_nn_cvt = g2_nn_t::const_view_type;

  template <Channel_t CH> g2_iw_t inverse(g2_iw_cvt g);

  g2_iw_t inverse_PH(g2_iw_vt g);

  g2_iw_t inverse_PP(g2_iw_vt g);

  g2_iw_t inverse_PH_bar(g2_iw_vt g);
 
  template <Channel_t CH> g2_nn_t inverse(g2_nn_cvt g);
 
  g2_nn_t inverse_PH(g2_nn_vt g);
  g2_nn_t inverse_PP(g2_nn_vt g);
  g2_nn_t inverse_PH_bar(g2_nn_vt g);

 
  template <Channel_t CH> g2_iw_t product(g2_iw_cvt A, g2_iw_cvt B);

 
  g2_iw_t product_PH(g2_iw_vt A, g2_iw_vt B);

 
  g2_iw_t product_PP(g2_iw_vt A, g2_iw_vt B);

 
  g2_iw_t product_PH_bar(g2_iw_vt A, g2_iw_vt B);
 
  template <Channel_t CH> g2_nn_t product(g2_nn_cvt A, g2_nn_cvt B);
 
  g2_nn_t product_PH(g2_nn_vt A, g2_nn_vt B);
  g2_nn_t product_PP(g2_nn_vt A, g2_nn_vt B);
  g2_nn_t product_PH_bar(g2_nn_vt A, g2_nn_vt B);

  template <Channel_t CH> g2_iw_t identity(g2_iw_cvt g);

 
  g2_iw_t identity_PH(g2_iw_vt g);

 
  g2_iw_t identity_PP(g2_iw_vt g);

 
  g2_iw_t identity_PH_bar(g2_iw_vt g);
 
  template <Channel_t CH> g2_nn_t identity(g2_nn_cvt g);
 
  g2_nn_t identity_PH(g2_nn_vt g);
  g2_nn_t identity_PP(g2_nn_vt g);
  g2_nn_t identity_PH_bar(g2_nn_vt g);
 
  // internal helper, not part of the Python API
  C2PY_IGNORE array<g2_nn_cvt::scalar_t, 4> scalar_product_PH(g2_n_cvt vL, g2_nn_cvt M, g2_n_cvt vR);
 
} // namespace triqs_tprf