symbol.cpp

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/*
 *  GiNaC Copyright (C) 1999-2023 Johannes Gutenberg University Mainz, Germany
 *
 *  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., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301  USA
 */
 
#include "symbol.h"
#include "lst.h"
#include "archive.h"
#include "utils.h"
#include "hash_seed.h"
#include "inifcns.h"
 
#include <map>
#include <stdexcept>
#include <string>
 
namespace GiNaC {
 
GINAC_IMPLEMENT_REGISTERED_CLASS_OPT(symbol, basic,
  print_func<print_context>(&symbol::do_print).
  print_func<print_latex>(&symbol::do_print_latex).
  print_func<print_tree>(&symbol::do_print_tree).
  print_func<print_python_repr>(&symbol::do_print_python_repr))
 
 
// default constructor
 
// symbol
 
symbol::symbol() : serial(next_serial++), name(""), TeX_name("")
{
    setflag(status_flags::evaluated | status_flags::expanded);
}
 
// realsymbol
 
realsymbol::realsymbol() : symbol() { }
 
// possymbol
 
possymbol::possymbol() : realsymbol() { }
 
// other constructors
 
// public
 
// symbol
 
symbol::symbol(const std::string & initname) : serial(next_serial++),
    name(initname), TeX_name("")
{
    setflag(status_flags::evaluated | status_flags::expanded);
}
 
symbol::symbol(const std::string & initname, const std::string & texname) :
    serial(next_serial++), name(initname), TeX_name(texname)
{
    setflag(status_flags::evaluated | status_flags::expanded);
}
 
// realsymbol
    
realsymbol::realsymbol(const std::string & initname) : symbol(initname) { }
 
realsymbol::realsymbol(const std::string & initname, const std::string & texname)
    : symbol(initname, texname) { }
 
// possymbol
    
possymbol::possymbol(const std::string & initname) : realsymbol(initname) { }
 
possymbol::possymbol(const std::string & initname, const std::string & texname) 
    : realsymbol(initname, texname) { }
 
// archiving
 
void symbol::read_archive(const archive_node &n, lst &sym_lst)
{
    inherited::read_archive(n, sym_lst);
    serial = next_serial++;
    std::string tmp_name;
    n.find_string("name", tmp_name);
 
    // If symbol is in sym_lst, return the existing symbol
    for (auto & s : sym_lst) {
        if (is_a<symbol>(s) && (ex_to<symbol>(s).name == tmp_name)) {
            *this = ex_to<symbol>(s);
            // XXX: This method is responsible for reading realsymbol
            // and possymbol objects too. But
            // basic::operator=(const basic& other)
            // resets status_flags::evaluated if other and *this are
            // of different types. Usually this is a good idea, but
            // doing this for symbols is wrong (for one, nothing is
            // going to set status_flags::evaluated, evaluation will
            // loop forever). Therefore we need to restore flags.
            setflag(status_flags::evaluated | status_flags::expanded);
            return;
        }
    }
    name = tmp_name;
    if (!n.find_string("TeXname", TeX_name))
        TeX_name = std::string("");
    setflag(status_flags::evaluated | status_flags::expanded);
 
    setflag(status_flags::dynallocated);
    sym_lst.append(*this);
}
 
void symbol::archive(archive_node &n) const
{
    inherited::archive(n);
    // XXX: we should not archive anonymous symbols.
    if (!name.empty())
        n.add_string("name", name);
    if (!TeX_name.empty())
        n.add_string("TeX_name", TeX_name);
}
 
// functions overriding virtual functions from base classes
 
static const std::string& get_default_TeX_name(const std::string& name);
 
// public
 
std::string symbol::get_name() const
{
    if (name.empty()) {
        name = "symbol" + std::to_string(serial);
    }
    return name;
}
 
std::string symbol::get_TeX_name() const
{
    if (TeX_name.empty()) {
        return get_default_TeX_name(get_name());
    }
    return TeX_name;
}
 
// protected
 
void symbol::do_print(const print_context & c, unsigned level) const
{
    c.s << get_name();
}
 
void symbol::do_print_latex(const print_latex & c, unsigned level) const
{
    if (!TeX_name.empty())
        c.s << TeX_name;
    else if (!name.empty())
        c.s << get_default_TeX_name(name);
    else
        c.s << "symbol" << serial;
}
 
void symbol::do_print_tree(const print_tree & c, unsigned level) const
{
    c.s << std::string(level, ' ') << name << " (" << class_name() << ")" << " @" << this
        << ", serial=" << serial
        << std::hex << ", hash=0x" << hashvalue << ", flags=0x" << flags << std::dec
        << ", domain=" << get_domain()
        << std::endl;
}
 
void symbol::do_print_python_repr(const print_python_repr & c, unsigned level) const
{
    c.s << class_name() << "('";
    if (!name.empty())
        c.s << name;
    else
        c.s << "symbol" << serial;
    if (!TeX_name.empty())
        c.s << "','" << TeX_name;
    c.s << "')";
}
 
bool symbol::info(unsigned inf) const
{
    switch (inf) {
        case info_flags::symbol:
        case info_flags::polynomial:
        case info_flags::integer_polynomial: 
        case info_flags::cinteger_polynomial: 
        case info_flags::rational_polynomial: 
        case info_flags::crational_polynomial: 
        case info_flags::rational_function: 
        case info_flags::expanded:
            return true;
        case info_flags::real:
            return get_domain() == domain::real || get_domain() == domain::positive;
        case info_flags::positive:
        case info_flags::nonnegative:
            return get_domain() == domain::positive;
        case info_flags::has_indices:
            return false;
    }
    return inherited::info(inf);
}
 
ex symbol::conjugate() const
{
    return conjugate_function(*this).hold();
}
 
ex symbol::real_part() const
{
    return real_part_function(*this).hold();
}
 
ex symbol::imag_part() const
{
    return imag_part_function(*this).hold();
}
 
bool symbol::is_polynomial(const ex & var) const
{
    return true;
}
 
// protected
 
ex symbol::derivative(const symbol & s) const
{
    if (compare_same_type(s))
        return _ex0;
    else
        return _ex1;
}
 
int symbol::compare_same_type(const basic & other) const
{
    GINAC_ASSERT(is_a<symbol>(other));
    const symbol *o = static_cast<const symbol *>(&other);
    if (serial==o->serial) return 0;
    return serial < o->serial ? -1 : 1;
}
 
bool symbol::is_equal_same_type(const basic & other) const
{
    GINAC_ASSERT(is_a<symbol>(other));
    const symbol *o = static_cast<const symbol *>(&other);
    return serial==o->serial;
}
 
unsigned symbol::calchash() const
{
    unsigned seed = make_hash_seed(typeid(*this));
    hashvalue = golden_ratio_hash(seed ^ serial);
    setflag(status_flags::hash_calculated);
    return hashvalue;
}
 
// virtual functions which can be overridden by derived classes
 
// none
 
// non-virtual functions in this class
 
static const std::string& get_default_TeX_name(const std::string& name)
{
    static std::map<std::string, std::string> standard_names;
    static bool names_initialized = false;
    if (!names_initialized) {
        standard_names["alpha"] = std::string("\\alpha");
        standard_names["beta"] = std::string("\\beta");;
        standard_names["gamma"] = std::string("\\gamma");;
        standard_names["delta"] = std::string("\\delta");;
        standard_names["epsilon"] = std::string("\\epsilon");
        standard_names["varepsilon"] = std::string("\\varepsilon");
        standard_names["zeta"] = std::string("\\zeta");
        standard_names["eta" ] = std::string("\\eta" );
        standard_names["theta"] = std::string("\\theta");
        standard_names["vartheta"] = std::string("\\vartheta");
        standard_names["iota"] = std::string("\\iota");
        standard_names["kappa"] = std::string("\\kappa");
        standard_names["lambda"] = std::string("\\lambda");
        standard_names["mu"] = std::string("\\mu");
        standard_names["nu"] = std::string("\\nu");
        standard_names["xi"] = std::string("\\xi");
        standard_names["omicron"] = std::string("\\omicron");
        standard_names["pi"] = std::string("\\pi");
        standard_names["varpi"] = std::string("\\varpi");
        standard_names["rho"] = std::string("\\rho");
        standard_names["varrho"] = std::string("\\varrho");
        standard_names["sigma"] = std::string("\\sigma");
        standard_names["varsigma"] = std::string("\\varsigma");
        standard_names["tau"] = std::string("\\tau");
        standard_names["upsilon"] = std::string("\\upsilon");
        standard_names["phi"] = std::string("\\phi");
        standard_names["varphi"] = std::string("\\varphi");
        standard_names["chi"] = std::string("\\chi");
        standard_names["psi"] = std::string("\\psi");
        standard_names["omega"] = std::string("\\omega");
        standard_names["Gamma"] = std::string("\\Gamma");
        standard_names["Delta"] = std::string("\\Delta");
        standard_names["Theta"] = std::string("\\Theta");
        standard_names["Lambda"] = std::string("\\Lambda");
        standard_names["Xi"] = std::string("\\Xi");
        standard_names["Pi"] = std::string("\\Pi");
        standard_names["Sigma"] = std::string("\\Sigma");
        standard_names["Upsilon"] = std::string("\\Upsilon");
        standard_names["Phi"] = std::string("\\Phi");
        standard_names["Psi"] = std::string("\\Psi");
        standard_names["Omega"] = std::string("\\Omega");
        names_initialized = true;
    }
    std::map<std::string, std::string>::const_iterator it = standard_names.find(name);
    if (it != standard_names.end())
        return it->second;
    else
        return name;
}
 
GINAC_BIND_UNARCHIVER(symbol);
GINAC_BIND_UNARCHIVER(realsymbol);
GINAC_BIND_UNARCHIVER(possymbol);
 
// static member variables
 
// private
 
unsigned symbol::next_serial = 0;
 
} // namespace GiNaC