libpynac-dev 0.2.6-1ubuntu1 / usr / include / pynac / symbol.h

/** @file symbol.h
 *
 *  Interface to GiNaC's symbolic objects. */

/*
 *  GiNaC Copyright (C) 1999-2008 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
 */

#ifndef __GINAC_SYMBOL_H__
#define __GINAC_SYMBOL_H__

#include "basic.h"
#include "ex.h"
#include "ptr.h"

#include <string>

namespace GiNaC {

/** Basic CAS symbol.  It has a name because it must know how to output itself.
 *  It may be assigned an expression, but this feature is only intended for
 *  programs like 'ginsh' that want to associate symbols with expressions.
 *  If you want to replace symbols by expressions in your code, you should
 *  use ex::subs() or use objects of class ex instead of class symbol in the
 *  first place. */
class symbol : public basic
{
	GINAC_DECLARE_REGISTERED_CLASS(symbol, basic)

	friend class realsymbol;
	friend class possymbol;

// types
	
// member functions
	
	// other constructors
public:
	explicit symbol(const std::string & initname, unsigned domain = domain::complex);
	symbol(const std::string & initname, const std::string & texname, unsigned domain = domain::complex);
	symbol(const std::string & initname, const std::string & texname, unsigned rt, unsigned domain);
	symbol(const std::string & initname, unsigned rt, tinfo_t rtt, unsigned domain = domain::complex);
	symbol(const std::string & initname, const std::string & texname, unsigned rt, tinfo_t rtt, unsigned domain = domain::complex);
	
	// functions overriding virtual functions from base classes
public:
	//	int compare_same_type(const basic & other) const;
	int compare(const basic &other) const;
	bool info(unsigned inf) const;
	ex eval(int level = 0) const;
	ex evalf(int level = 0) const { return *this; } // overwrites basic::evalf() for performance reasons
	ex series(const relational & s, int order, unsigned options = 0) const;
	ex subs(const exmap & m, unsigned options = 0) const { return subs_one_level(m, options); } // overwrites basic::subs() for performance reasons
	ex normal(exmap & repl, exmap & rev_lookup, int level = 0) const;
	ex to_rational(exmap & repl) const;
	ex to_polynomial(exmap & repl) const;
	unsigned return_type() const { return ret_type; }
	tinfo_t return_type_tinfo() const { return ret_type_tinfo; }
	ex conjugate() const;
	ex real_part() const;
	ex imag_part() const;
	bool is_polynomial(const ex & var) const;
protected:
	ex derivative(const symbol & s) const;
	bool is_equal_same_type(const basic & other) const;
	unsigned calchash() const;
	
	// non-virtual functions in this class
public:
	//void assign(const ex & value);
	//void unassign();
	void set_name(const std::string & n) { name = n; }
	std::string get_name() const { return name; }
	unsigned get_domain() const { return domain; }
	void set_domain(unsigned d) { domain = d; }
	std::string get_texname() const { return TeX_name; }
	void set_texname(const std::string & t) { TeX_name = t; }
protected:
	void do_print(const print_context & c, unsigned level) const;
	void do_print_latex(const print_latex & c, unsigned level) const;
	void do_print_tree(const print_tree & c, unsigned level) const;
	void do_print_python_repr(const print_python_repr & c, unsigned level) const;
private:
	std::string & autoname_prefix();
	std::string default_TeX_name() const;

// member variables

protected:
	unsigned serial;                 ///< unique serial number for comparison
	std::string name;                ///< printname of this symbol
	std::string TeX_name;            ///< LaTeX name of this symbol
	unsigned domain;                 ///< domain of symbol, complex (default) or real
	unsigned ret_type;               ///< value returned by return_type()
	tinfo_t ret_type_tinfo;         ///< value returned by return_type_tinfo()
private:
	static unsigned next_serial;
};


/** Specialization of symbol to real domain */
class realsymbol : public symbol
{
	// constructors
public:
	realsymbol();
	explicit realsymbol(const std::string & initname, unsigned domain = domain::real);
	realsymbol(const std::string & initname, const std::string & texname, unsigned domain = domain::real);
	realsymbol(const std::string & initname, unsigned rt, tinfo_t rtt, unsigned domain = domain::real);
	realsymbol(const std::string & initname, const std::string & texname, unsigned rt, tinfo_t rtt, unsigned domain = domain::real);
};


/** Specialization of symbol to real domain */
class possymbol : public symbol
{
	// constructors
public:
	possymbol();
	explicit possymbol(const std::string & initname, unsigned domain = domain::positive);
	possymbol(const std::string & initname, const std::string & texname, unsigned domain = domain::positive);
	possymbol(const std::string & initname, unsigned rt, tinfo_t rtt, unsigned domain = domain::positive);
	possymbol(const std::string & initname, const std::string & texname, unsigned rt, tinfo_t rtt, unsigned domain = domain::positive);
};


// utility functions

/** Specialization of is_exactly_a<realsymbol>(obj) for realsymbol objects. */
template<> inline bool is_exactly_a<realsymbol>(const basic & obj)
{
	if (obj.tinfo() != &symbol::tinfo_static)
		return false;
	unsigned domain = static_cast<const symbol &>(obj).get_domain();
	return domain==domain::real || domain==domain::positive;
}

/** Specialization of is_exactly_a<possymbol>(obj) for possymbol objects. */
template<> inline bool is_exactly_a<possymbol>(const basic & obj)
{
	if (obj.tinfo() != &symbol::tinfo_static)
		return false;
	unsigned domain = static_cast<const symbol &>(obj).get_domain();
	return domain == domain::positive;
}

// keep symbols unique
const symbol & get_symbol(const std::string & s);

} // namespace GiNaC

#endif // ndef __GINAC_SYMBOL_H__