basic_sector_decomposition.h

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/*
 *  Copyright (C) 2007 Stefan Weinzierl
 *
 *  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 of the License, 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
 */
 
#ifndef __SECTOR_DECOMPOSITION_BASIC_SECTOR_DECOMPOSITION_H__
#define __SECTOR_DECOMPOSITION_BASIC_SECTOR_DECOMPOSITION_H__
 
#include <vector>
 
#include "integrand.h"
#include "monte_carlo.h"
 
namespace sector_decomposition {
 
  monte_carlo_result do_sector_decomposition(const integration_data & global_data,
                                             const integrand & integrand_in, 
                                             const monte_carlo_parameters & mc_parameters,
                                             int verbose_level = 0);
 
  monte_carlo_result do_sector_decomposition_simplex(const integration_data & global_data,
                                                     const integrand & integrand_in, 
                                                     const monte_carlo_parameters & mc_parameters,
                                                     int verbose_level = 0);
 
  monte_carlo_result do_sector_decomposition_cube(const integration_data & global_data,
                                                  const integrand & integrand_in, 
                                                  const monte_carlo_parameters & mc_parameters,
                                                  int verbose_level = 0);
 
  monte_carlo_result do_sector_decomposition_cube_coordinate_subspace(const integration_data & global_data,
                                                                      const integrand & integrand_in, 
                                                                      const monte_carlo_parameters & mc_parameters,
                                                                      int verbose_level = 0);
 
  class basic_sector_decomposition {
 
      // member functions
    public:
    monte_carlo_result operator() (const integration_data & global_data,
                                   const integrand & integrand_in, 
                                   const monte_carlo_parameters & mc_parameters,
                                   const int & verbose_level);
 
    monte_carlo_result operator() (const integration_data & global_data,
                                   const integrand & integrand_in, 
                                   const monte_carlo_parameters & mc_parameters,
                                   const int & integration_domain,
                                   const int & verbose_level);
 
    void generate_homogenous_polynomials(const integration_data & global_data, 
                                         const integrand & integrand_in, integrand & integrand_out);
 
    void generate_primary_sectors(const integration_data & global_data, 
                                  const integrand & integrand_in, std::vector<integrand> & lst_integrand_out);
 
    void generate_primary_sectors_cube(const integration_data & global_data, 
                                       const integrand & integrand_in, std::vector<integrand> & lst_integrand_out);
 
    void iterate_sector_decomposition(const integration_data & global_data, 
                                      std::vector<integrand> & lst_integrand_in, std::vector<integrand> & lst_integrand_out);
 
    void strategy_A(const integration_data & global_data, 
                    std::vector<integrand> & lst_integrand_in, std::vector<integrand> & lst_integrand_out);
 
    void strategy_B(const integration_data & global_data, 
                    std::vector<integrand> & lst_integrand_in, std::vector<integrand> & lst_integrand_out);
 
    void strategy_C(const integration_data & global_data, 
                    std::vector<integrand> & lst_integrand_in, std::vector<integrand> & lst_integrand_out);
 
    void strategy_X(const integration_data & global_data, 
                    std::vector<integrand> & lst_integrand_in, std::vector<integrand> & lst_integrand_out);
 
    void strategy_Y(const integration_data & global_data, 
                    std::vector<integrand> & lst_integrand_in, std::vector<integrand> & lst_integrand_out);
 
    void generate_subtraction_terms(const integration_data & global_data, 
                                    std::vector<integrand> & lst_integrand_in, std::vector<GiNaC::ex> & lst_integrand_out);
 
    void expand_in_epsilon(const integration_data & global_data, 
                           std::vector<GiNaC::ex> & lst_integrand_in, GiNaC::ex & res_out);
 
    void numerical_integration(const integration_data & global_data, const monte_carlo_parameters & mc_parameters, GiNaC::ex res_in, monte_carlo_result & res_out, int verbose_level = 0);
 
  };
 
} // namespace sector_decomposition
 
#endif // ndef __SECTOR_DECOMPOSITION_BASIC_SECTOR_DECOMPOSITION_H__