polygamma.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_POLYGAMMA_H__
#define __NESTEDSUMS_POLYGAMMA_H__
 
#include "ginac/ginac.h"
 
namespace nestedsums {
 
 
  class ratio_of_tgamma : public GiNaC::basic
    {
      friend class list_of_tgamma;
 
      GINAC_DECLARE_REGISTERED_CLASS(ratio_of_tgamma, GiNaC::basic)
 
        // ctors
    public:
      ratio_of_tgamma(const GiNaC::ex & a1, const GiNaC::ex & b1, const GiNaC::ex & a2, const GiNaC::ex & b2);
      ratio_of_tgamma(const GiNaC::ex & a1, const GiNaC::ex & b1, const GiNaC::ex & a2, const GiNaC::ex & b2, const GiNaC::ex & i, 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 50;}
      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 set_index(const GiNaC::ex & new_index) const;
      GiNaC::ex set_expansion_parameter(const GiNaC::ex & new_eps) const;
      GiNaC::ex set_order(int new_order) const;
      GiNaC::ex set_flag(int new_flag) const;
      GiNaC::ex set_values(const GiNaC::ex & new_index, const GiNaC::ex & new_eps, int new_order, int new_flag) const;
 
      GiNaC::ex get_index(void) const;
 
      GiNaC::ex shift_plus_one(void) const;
      GiNaC::ex shift_minus_one(void) const;
      GiNaC::ex index_eq_one(void) const;
      GiNaC::ex shift_index(const GiNaC::ex & new_index) const;
 
      int pole_alert(void) const;
      int expansion_alert(void) const;
 
    protected:
      GiNaC::ex increase_numerator(int shift_order = 0) const;
      GiNaC::ex decrease_numerator(int shift_order = 0) const;
      GiNaC::ex increase_denominator(int shift_order = 0) const;
      GiNaC::ex decrease_denominator(int shift_order = 0) const;
 
      GiNaC::ex prefactor_increase_numerator(void) const;
      GiNaC::ex prefactor_decrease_numerator(void) const;
      GiNaC::ex prefactor_increase_denominator(void) const;
      GiNaC::ex prefactor_decrease_denominator(void) const;
 
        // member variables :
 
    protected:
 
      GiNaC::ex a1;
      GiNaC::ex b1;
      GiNaC::ex a2;
      GiNaC::ex b2;
 
      GiNaC::ex index;
      GiNaC::ex expansion_parameter;
 
      int order;
      int flag_expand_status;
    };
 
GINAC_DECLARE_UNARCHIVER(ratio_of_tgamma);
 
inline GiNaC::ex create_ratio_of_tgamma(const GiNaC::ex & a1, const GiNaC::ex & b1, const GiNaC::ex & a2, const GiNaC::ex & b2)
  {
      return (new ratio_of_tgamma(a1,b1,a2,b2))->setflag(GiNaC::status_flags::dynallocated);
  }
 
inline GiNaC::ex create_ratio_of_tgamma(const GiNaC::ex & a1, const GiNaC::ex & b1, const GiNaC::ex & a2, const GiNaC::ex & b2, const GiNaC::ex & i, const GiNaC::ex & eps, 
        int o, int f)
  {
    return (new ratio_of_tgamma(a1,b1,a2,b2,i,eps,o,f))->setflag(GiNaC::status_flags::dynallocated);
  }
 
 GiNaC::ex eval_ratio_of_tgamma_to_scalar(const GiNaC::ex & expr);
 
} // namespace nestedsums
 
#endif // ndef __NESTEDSUMS_POLYGAMMA_H__