/** @file basic.h * * Interface to GiNaC's ABC. */ /* * GiNaC Copyright (C) 1999-2003 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., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA */ #ifndef __GINAC_BASIC_H__ #define __GINAC_BASIC_H__ #include // for size_t #include #include // CINT needs to work properly with #include #include "flags.h" #include "tinfos.h" #include "ptr.h" #include "assertion.h" #include "registrar.h" namespace GiNaC { class ex; class ex_is_less; class symbol; class numeric; class relational; class archive_node; class print_context; typedef std::vector exvector; typedef std::map exmap; /** Function object for map(). */ struct map_function { typedef const ex & argument_type; typedef ex result_type; virtual ex operator()(const ex & e) = 0; }; /** Degenerate base class for visitors. basic and derivative classes * support Robert C. Martin's Acyclic Visitor pattern (cf. * http://objectmentor.com/publications/acv.pdf). */ class visitor { protected: virtual ~visitor() {} }; /** This class is the ABC (abstract base class) of GiNaC's class hierarchy. */ class basic : public refcounted { GINAC_DECLARE_REGISTERED_CLASS_NO_CTORS(basic, void) friend class ex; // default constructor, destructor, copy constructor and assignment operator protected: basic() : tinfo_key(TINFO_basic), flags(0) {} public: /** basic destructor, virtual because class ex will delete objects of * derived classes via a basic*. */ virtual ~basic() { GINAC_ASSERT((!(flags & status_flags::dynallocated)) || (get_refcount() == 0)); } basic(const basic & other); const basic & operator=(const basic & other); protected: /** Constructor with specified tinfo_key (used by derived classes instead * of the default constructor to avoid assigning tinfo_key twice). */ basic(unsigned ti) : tinfo_key(ti), flags(0) {} // new virtual functions which can be overridden by derived classes public: // only const functions please (may break reference counting) /** Create a clone of this object on the heap. One can think of this as * simulating a virtual copy constructor which is needed for instance by * the refcounted construction of an ex from a basic. */ virtual basic * duplicate() const { return new basic(*this); } // evaluation virtual ex eval(int level = 0) const; virtual ex evalf(int level = 0) const; virtual ex evalm() const; protected: virtual ex eval_ncmul(const exvector & v) const; public: virtual ex eval_indexed(const basic & i) const; // printing virtual void print(const print_context & c, unsigned level = 0) const; virtual void dbgprint() const; virtual void dbgprinttree() const; virtual unsigned precedence() const; // info virtual bool info(unsigned inf) const; // operand access virtual size_t nops() const; virtual ex op(size_t i) const; virtual ex operator[](const ex & index) const; virtual ex operator[](size_t i) const; virtual ex & let_op(size_t i); virtual ex & operator[](const ex & index); virtual ex & operator[](size_t i); // pattern matching virtual bool has(const ex & other) const; virtual bool match(const ex & pattern, lst & repl_lst) const; protected: virtual bool match_same_type(const basic & other) const; public: // substitutions virtual ex subs(const exmap & m, unsigned options = 0) const; // function mapping virtual ex map(map_function & f) const; // visitors and tree traversal virtual void accept(GiNaC::visitor & v) const { if (visitor *p = dynamic_cast(&v)) p->visit(*this); } // degree/coeff virtual int degree(const ex & s) const; virtual int ldegree(const ex & s) const; virtual ex coeff(const ex & s, int n = 1) const; // expand/collect virtual ex expand(unsigned options = 0) const; virtual ex collect(const ex & s, bool distributed = false) const; // differentiation and series expansion protected: virtual ex derivative(const symbol & s) const; public: virtual ex series(const relational & r, int order, unsigned options = 0) const; // rational functions virtual ex normal(exmap & repl, exmap & rev_lookup, int level = 0) const; virtual ex to_rational(exmap & repl) const; virtual ex to_polynomial(exmap & repl) const; // polynomial algorithms virtual numeric integer_content() const; virtual ex smod(const numeric &xi) const; virtual numeric max_coefficient() const; // indexed objects virtual exvector get_free_indices() const; virtual ex add_indexed(const ex & self, const ex & other) const; virtual ex scalar_mul_indexed(const ex & self, const numeric & other) const; virtual bool contract_with(exvector::iterator self, exvector::iterator other, exvector & v) const; // noncommutativity virtual unsigned return_type() const; virtual unsigned return_type_tinfo() const; protected: // functions that should be called from class ex only virtual int compare_same_type(const basic & other) const; virtual bool is_equal_same_type(const basic & other) const; virtual unsigned calchash() const; // non-virtual functions in this class public: /** Like print(), but dispatch to the specified class. Can be used by * implementations of print methods to dispatch to the method of the * superclass. * * @see basic::print */ template void print_dispatch(const print_context & c, unsigned level) const { print_dispatch(T::get_class_info_static(), c, level); } void print_dispatch(const registered_class_info & ri, const print_context & c, unsigned level) const; ex subs_one_level(const exmap & m, unsigned options) const; ex diff(const symbol & s, unsigned nth = 1) const; int compare(const basic & other) const; bool is_equal(const basic & other) const; const basic & hold() const; unsigned gethash() const { if (flags & status_flags::hash_calculated) return hashvalue; else return calchash(); } unsigned tinfo() const {return tinfo_key;} /** Set some status_flags. */ const basic & setflag(unsigned f) const {flags |= f; return *this;} /** Clear some status_flags. */ const basic & clearflag(unsigned f) const {flags &= ~f; return *this;} protected: void ensure_if_modifiable() const; void do_print(const print_context & 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; // member variables protected: unsigned tinfo_key; ///< typeinfo mutable unsigned flags; ///< of type status_flags mutable unsigned hashvalue; ///< hash value }; // global variables extern int max_recursion_level; // convenience type checker template functions /** Check if obj is a T, including base classes. */ template inline bool is_a(const basic &obj) { return dynamic_cast(&obj) != 0; } /** Check if obj is a T, not including base classes. This one is just an * inefficient default. It should in all time-critical cases be overridden * by template specializations that use the TINFO_* constants directly. */ template inline bool is_exactly_a(const basic &obj) { return obj.tinfo() == T::get_class_info_static().options.get_id(); } } // namespace GiNaC #endif // ndef __GINAC_BASIC_H__