transcendental_B.h

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/*
 *  Copyright (C) 2001-2017 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 __NESTEDSUMS_TRANSCENDENTAL_B_H__
#define __NESTEDSUMS_TRANSCENDENTAL_B_H__
 
#include "ginac/ginac.h"
 
namespace nestedsums {
 
 
  class transcendental_sum_type_B : public GiNaC::basic
    {
      GINAC_DECLARE_REGISTERED_CLASS(transcendental_sum_type_B, GiNaC::basic)
 
        // ctors
    public:
      transcendental_sum_type_B(const GiNaC::ex & nn, const GiNaC::ex & i, const GiNaC::ex & l, const GiNaC::ex & lr, 
                               const GiNaC::ex & v, const GiNaC::ex & vr, const GiNaC::ex & ss, const GiNaC::ex & ssr, 
                               const GiNaC::ex & eps, int o, int f);
 
        // functions overriding virtual functions from base classes
    public:
      void archive(GiNaC::archive_node &node) const override;
      void read_archive(const GiNaC::archive_node &node, GiNaC::lst &sym_lst) override;
 
      unsigned return_type(void) const override { return GiNaC::return_types::noncommutative; }
 
      void print(const GiNaC::print_context & c, unsigned level = 0) const override;
      unsigned precedence(void) const override {return 40;}
      GiNaC::ex eval() const override;
      GiNaC::ex subs(const GiNaC::exmap & m, unsigned options = 0) const override;
 
    protected:
      GiNaC::ex eval_ncmul(const GiNaC::exvector & v) const override;
      GiNaC::ex derivative(const GiNaC::symbol & s) const override;
      unsigned calchash(void) const override;
 
        // new virtual functions which can be overridden by derived classes
    public:
      virtual GiNaC::ex eval_explicit() const;
 
        // non-virtual functions 
    public:
      GiNaC::ex set_expansion(void) const;
      GiNaC::ex distribute_over_subsum(void) const;
      GiNaC::ex distribute_over_letter(void) const;
      GiNaC::ex distribute_over_subsum_rev(void) const;
      GiNaC::ex distribute_over_letter_rev(void) const;
      GiNaC::ex shift_plus_one(void) const;
      GiNaC::ex shift_plus_one_rev(void) const;
 
    protected:
 
        // member variables :
 
    protected:
 
      GiNaC::ex n;
      GiNaC::ex index;
      GiNaC::ex letter;
      GiNaC::ex letter_rev;
      GiNaC::ex lst_of_gammas;
      GiNaC::ex lst_of_gammas_rev;
      GiNaC::ex subsum;
      GiNaC::ex subsum_rev;
 
      GiNaC::ex expansion_parameter;
 
      int order;
 
      mutable int flag_expand_status;
    };
 
GINAC_DECLARE_UNARCHIVER(transcendental_sum_type_B);
 
inline GiNaC::ex create_transcendental_sum_type_B(const GiNaC::ex & nn, const GiNaC::ex & i, const GiNaC::ex & l, const GiNaC::ex & lr, 
                                    const GiNaC::ex & v, const GiNaC::ex & vr, const GiNaC::ex & ss, const GiNaC::ex & ssr, 
                                    const GiNaC::ex & eps, int o, int f)
  {
    return (new transcendental_sum_type_B(nn,i,l,lr,v,vr,ss,ssr,eps,o,f))->setflag(GiNaC::status_flags::dynallocated);
  }
 
inline GiNaC::ex create_transcendental_sum_type_B_and_set_gammas(const GiNaC::ex & nn, const GiNaC::ex & i, const GiNaC::ex & l, const GiNaC::ex & lr, 
                                    const GiNaC::ex & v, const GiNaC::ex & vr, const GiNaC::ex & ss, const GiNaC::ex & ssr, 
                                    const GiNaC::ex & eps, int o, int f)
  {
    // set index, expansion_parameter and order in the Gamma functions
    GiNaC::ex new_v = create_list_of_tgamma_and_set_gammas(GiNaC::ex_to<list_of_tgamma>(v).gamma_sequence,i,eps,o);
 
    // set index, expansion_parameter and order in the Gamma functions
    GiNaC::ex new_vr = create_list_of_tgamma_and_set_gammas(GiNaC::ex_to<list_of_tgamma>(vr).gamma_sequence,nn-i,eps,o);
 
    return (new transcendental_sum_type_B(nn,i,l,lr,new_v,new_vr,ss,ssr,eps,o,f))->setflag(GiNaC::status_flags::dynallocated);
  }
 
GiNaC::ex create_transcendental_sum_type_B_and_expand(const GiNaC::ex & nn, const GiNaC::ex & i, const GiNaC::ex & l, const GiNaC::ex & lr, 
                                               const GiNaC::ex & v, const GiNaC::ex & vr, const GiNaC::ex & ss, const GiNaC::ex & ssr, 
                                               const GiNaC::ex & eps, int o);
 
} // namespace nestedsums
 
#endif // ndef __NESTEDSUMS_TRANSCENDENTAL_B_H__