Nestedsums library: harmonic

00001 00008 /* 00009 * Copyright (C) 2001 Stefan Weinzierl 00010 * 00011 * This program is free software; you can redistribute it and/or modify 00012 * it under the terms of the GNU General Public License as published by 00013 * the Free Software Foundation; either version 2 of the License, or 00014 * (at your option) any later version. 00015 * 00016 * This program is distributed in the hope that it will be useful, 00017 * but WITHOUT ANY WARRANTY; without even the implied warranty of 00018 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the 00019 * GNU General Public License for more details. 00020 * 00021 * You should have received a copy of the GNU General Public License 00022 * along with this program; if not, write to the Free Software 00023 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA 00024 */ 00025 00026 #ifndef __NESTEDSUMS_HARMONIC_SUM_H__ 00027 #define __NESTEDSUMS_HARMONIC_SUM_H__ 00028 00029 #include "ginac/ginac.h" 00030 00031 namespace nestedsums { 00032 00034 00048 class harmonic_sum : public virtual Ssum 00049 { 00050 GINAC_DECLARE_REGISTERED_CLASS(harmonic_sum, Ssum) 00051 00052 // ctors 00053 public: 00054 explicit harmonic_sum(const GiNaC::ex & nc); 00055 harmonic_sum(const GiNaC::ex & nc, const GiNaC::ex & llc); 00056 00057 // functions overriding virtual functions from bases classes 00058 public: 00059 void archive(GiNaC::archive_node &node) const; 00060 void read_archive(const GiNaC::archive_node &node, GiNaC::lst &sym_lst); 00061 00062 GiNaC::return_type_t return_type_tinfo() const; 00063 00064 void print(const GiNaC::print_context & c, unsigned level = 0) const; 00065 GiNaC::ex eval(int level = 0) const; 00066 00067 GiNaC::ex convert_to_Zsum_exvector(const GiNaC::exvector & Z0, const GiNaC::exvector & Z1) const; 00068 GiNaC::ex shuffle_exvector(const GiNaC::exvector & Z0, const GiNaC::exvector & Z1, const GiNaC::exvector & Z2) const; 00069 00070 GiNaC::ex set_index(const GiNaC::ex & i) const; 00071 GiNaC::ex shift_plus_one(void) const; 00072 GiNaC::ex shift_minus_one(void) const; 00073 GiNaC::ex adjust_upper_limit_downwards(const GiNaC::ex & i) const; 00074 GiNaC::ex adjust_upper_limit_upwards(const GiNaC::ex & i) const; 00075 GiNaC::ex adjust_upper_limit_plus_one(void) const; 00076 GiNaC::ex remove_first_letter(void) const; 00077 GiNaC::ex remove_first_letter(const GiNaC::ex & nc) const; 00078 }; 00079 00080 GINAC_DECLARE_UNARCHIVER(harmonic_sum); 00081 00087 inline GiNaC::ex create_harmonic_sum(const GiNaC::ex & nc, const GiNaC::ex & llc) 00088 { 00089 return (new harmonic_sum(nc,llc))->setflag(GiNaC::status_flags::dynallocated); 00090 } 00091 00092 GiNaC::ex create_harmonic_sum_with_ones(const GiNaC::ex &n, const int &k); 00093 00094 GiNaC::ex create_harmonic_sum_from_exvector(const GiNaC::ex & nc, const GiNaC::exvector & v); 00095 00096 } // namespace nestedsums 00097 00098 namespace GiNaC { 00099 00100 // template specialization 00101 template<> inline const nestedsums::harmonic_sum &ex_to<nestedsums::harmonic_sum>(const ex &e) 00102 { 00103 return dynamic_cast<const nestedsums::harmonic_sum &>(*e.bp); 00104 } 00105 00106 } // end namespace GiNaC 00107 00108 #endif // ndef __NESTEDSUMS_HARMONIC_SUM_H__

harmonic_sum.h