X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=ginac%2Fexpairseq.h;h=96666b86eb9ef38e6197f6949899e05bf558f146;hp=72ac829cf6dc6499894e0c09e7785998cceea584;hb=d54e497297f4687c385ff8fbc91296365887c7c0;hpb=afdd7fa8c6c0a587f7c80789198551383e8beb7b diff --git a/ginac/expairseq.h b/ginac/expairseq.h index 72ac829c..96666b86 100644 --- a/ginac/expairseq.h +++ b/ginac/expairseq.h @@ -3,7 +3,7 @@ * Interface to sequences of expression pairs. */ /* - * GiNaC Copyright (C) 1999 Johannes Gutenberg University Mainz, Germany + * 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 @@ -25,183 +25,154 @@ #include #include - +#include // CINT needs to work properly with and -//#include +#include -#include +#include "expair.h" -#ifndef NO_GINAC_NAMESPACE namespace GiNaC { -#endif // ndef NO_GINAC_NAMESPACE - -//#define EXPAIRSEQ_USE_HASHTAB -typedef vector epvector; -typedef epvector::iterator epviter; - -inline void iter_swap(epvector::iterator it1, epvector::iterator it2) -{ - (*it1).rest.swap((*it2).rest); - (*it1).coeff.swap((*it2).coeff); -} - -typedef epvector::iterator epp; -typedef list epplist; -typedef vector epplistvector; +/** Using hash tables can potentially enhance the asymptotic behaviour of + * combining n terms into one large sum (or n terms into one large product) + * from O(n*log(n)) to about O(n). There are, however, several drawbacks. + * The constant in front of O(n) is quite large, when copying such an object + * one also has to copy the has table, comparison is quite expensive because + * there is no ordering any more, it doesn't help at all when combining two + * expairseqs because due to the presorted nature the behaviour would be + * O(n) anyways, the code is quite messy, etc, etc. The code is here as + * an example for following generations to tinker with. */ +#define EXPAIRSEQ_USE_HASHTAB 0 + +typedef std::vector epvector; ///< expair-vector +typedef epvector::iterator epp; ///< expair-vector pointer +typedef std::list epplist; ///< list of expair-vector pointers +typedef std::vector epplistvector; ///< vector of epplist /** A sequence of class expair. * This is used for time-critical classes like sums and products of terms * since handling a list of coeff and rest is much faster than handling a - * list of products or powers, respectively. (Incidentally, Maple does it - * the same way.) */ + * list of products or powers, respectively. (Not incidentally, Maple does it + * the same way, maybe others too.) The semantics is (at least) twofold: + * one for addition and one for multiplication and several methods have to + * be overridden by derived classes to reflect the change in semantics. + * However, most functionality turns out to be shared between addition and + * multiplication, which is the reason why there is this base class. */ class expairseq : public basic { -// member functions - - // default constructor, destructor, copy constructor assignment operator and helpers -public: - expairseq() : basic(TINFO_expairseq) -#ifdef EXPAIRSEQ_USE_HASHTAB - , hashtabsize(0) -#endif // def EXPAIRSEQ_USE_HASHTAB - { - } - ~expairseq() - { - destroy(0); - } - expairseq(expairseq const & other); - expairseq const & operator=(expairseq const & other); -protected: - void copy(expairseq const & other); - void destroy(bool call_parent) - { - if (call_parent) basic::destroy(call_parent); - }; + GINAC_DECLARE_REGISTERED_CLASS(expairseq, basic) - // other constructors + // other constructors public: - expairseq(ex const & lh, ex const & rh); - expairseq(exvector const & v); - expairseq(epvector const & v, ex const & oc); - expairseq(epvector * vp, ex const & oc); // vp will be deleted - - // functions overriding virtual functions from bases classes + expairseq(const ex & lh, const ex & rh); + expairseq(const exvector & v); + expairseq(const epvector & v, const ex & oc); + expairseq(std::auto_ptr, const ex & oc); + + // functions overriding virtual functions from base classes public: - basic * duplicate() const; - void printraw(ostream & os) const; - void printtree(ostream & os, unsigned indent) const; - void print(ostream & os, unsigned upper_precedence=0) const; - bool info(unsigned inf) const; - int nops() const; - ex op(int const i) const; - ex & let_op(int const i); - ex eval(int level=0) const; - ex evalf(int level=0) const; - ex normal(lst &sym_lst, lst &repl_lst, int level=0) const; - ex diff(symbol const & s) const; - ex subs(lst const & ls, lst const & lr) const; + unsigned precedence() const {return 10;} + bool info(unsigned inf) const; + size_t nops() const; + ex op(size_t i) const; + ex map(map_function & f) const; + ex eval(int level=0) const; + ex to_rational(exmap & repl) const; + ex to_polynomial(exmap & repl) const; + bool match(const ex & pattern, lst & repl_lst) const; + ex subs(const exmap & m, unsigned options = 0) const; protected: - int compare_same_type(basic const & other) const; - bool is_equal_same_type(basic const & other) const; - unsigned return_type(void) const; - unsigned calchash(void) const; - ex expand(unsigned options=0) const; - - // new virtual functions which can be overridden by derived classes + bool is_equal_same_type(const basic & other) const; + unsigned return_type() const; + unsigned calchash() const; + ex expand(unsigned options=0) const; + + // new virtual functions which can be overridden by derived classes protected: - virtual ex thisexpairseq(epvector const & v, ex const & oc) const; - virtual ex thisexpairseq(epvector * vp, ex const & oc) const; - virtual void printseq(ostream & os, char delim, unsigned this_precedence, - unsigned upper_precedence) const; - virtual void printpair(ostream & os, expair const & p, - unsigned upper_precedence) const; - virtual expair split_ex_to_pair(ex const & e) const; - virtual expair combine_ex_with_coeff_to_pair(ex const & e, - ex const & c) const; - virtual expair combine_pair_with_coeff_to_pair(expair const & p, - ex const & c) const; - virtual ex recombine_pair_to_ex(expair const & p) const; - virtual bool expair_needs_further_processing(epp it); - virtual ex default_overall_coeff(void) const; - virtual void combine_overall_coeff(ex const & c); - virtual void combine_overall_coeff(ex const & c1, ex const & c2); - virtual bool can_make_flat(expair const & p) const; - - // non-virtual functions in this class + virtual ex thisexpairseq(const epvector & v, const ex & oc) const; + virtual ex thisexpairseq(std::auto_ptr vp, const ex & oc) const; + virtual void printseq(const print_context & c, char delim, + unsigned this_precedence, + unsigned upper_precedence) const; + virtual void printpair(const print_context & c, const expair & p, + unsigned upper_precedence) const; + virtual expair split_ex_to_pair(const ex & e) const; + virtual expair combine_ex_with_coeff_to_pair(const ex & e, + const ex & c) const; + virtual expair combine_pair_with_coeff_to_pair(const expair & p, + const ex & c) const; + virtual ex recombine_pair_to_ex(const expair & p) const; + virtual bool expair_needs_further_processing(epp it); + virtual ex default_overall_coeff() const; + virtual void combine_overall_coeff(const ex & c); + virtual void combine_overall_coeff(const ex & c1, const ex & c2); + virtual bool can_make_flat(const expair & p) const; + + // non-virtual functions in this class protected: - void construct_from_2_ex_via_exvector(ex const & lh, ex const & rh); - void construct_from_2_ex(ex const & lh, ex const & rh); - void construct_from_2_expairseq(expairseq const & s1, - expairseq const & s2); - void construct_from_expairseq_ex(expairseq const & s, - ex const & e); - void construct_from_exvector(exvector const & v); - void construct_from_epvector(epvector const & v); - void make_flat(exvector const & v); - void make_flat(epvector const & v); - epvector * bubblesort(epvector::iterator itbegin, epvector::iterator itend); - epvector * mergesort(epvector::iterator itbegin, epvector::iterator itend); - void canonicalize(void); - void combine_same_terms_sorted_seq(void); -#ifdef EXPAIRSEQ_USE_HASHTAB - void combine_same_terms(void); - unsigned calc_hashtabsize(unsigned sz) const; - unsigned calc_hashindex(ex const & e) const; - void shrink_hashtab(void); - void remove_hashtab_entry(epvector::const_iterator element); - void move_hashtab_entry(epvector::const_iterator oldpos, - epvector::iterator newpos); - void sorted_insert(epplist & eppl, epp elem); - void build_hashtab_and_combine(epvector::iterator & first_numeric, - epvector::iterator & last_non_zero, - vector & touched, - unsigned & number_of_zeroes); - void drop_coeff_0_terms(epvector::iterator & first_numeric, - epvector::iterator & last_non_zero, - vector & touched, - unsigned & number_of_zeroes); - bool has_coeff_0(void) const; - void add_numerics_to_hashtab(epvector::iterator first_numeric, epvector::const_iterator last_non_zero); -#endif // def EXPAIRSEQ_USE_HASHTAB - bool is_canonical() const; - epvector * expandchildren(unsigned options) const; - epvector * evalchildren(int level) const; - epvector evalfchildren(int level) const; - epvector normalchildren(int level) const; - epvector diffchildren(symbol const & s) const; - epvector * subschildren(lst const & ls, lst const & lr) const; - + void do_print(const print_context & c, unsigned level) const; + void do_print_tree(const print_tree & c, unsigned level) const; + void construct_from_2_ex_via_exvector(const ex & lh, const ex & rh); + void construct_from_2_ex(const ex & lh, const ex & rh); + void construct_from_2_expairseq(const expairseq & s1, + const expairseq & s2); + void construct_from_expairseq_ex(const expairseq & s, + const ex & e); + void construct_from_exvector(const exvector & v); + void construct_from_epvector(const epvector & v); + void make_flat(const exvector & v); + void make_flat(const epvector & v); + void canonicalize(); + void combine_same_terms_sorted_seq(); +#if EXPAIRSEQ_USE_HASHTAB + void combine_same_terms(); + unsigned calc_hashtabsize(unsigned sz) const; + unsigned calc_hashindex(const ex & e) const; + void shrink_hashtab(); + void remove_hashtab_entry(epvector::const_iterator element); + void move_hashtab_entry(epvector::const_iterator oldpos, + epvector::iterator newpos); + void sorted_insert(epplist & eppl, epvector::const_iterator elem); + void build_hashtab_and_combine(epvector::iterator & first_numeric, + epvector::iterator & last_non_zero, + vector & touched, + unsigned & number_of_zeroes); + void drop_coeff_0_terms(epvector::iterator & first_numeric, + epvector::iterator & last_non_zero, + vector & touched, + unsigned & number_of_zeroes); + bool has_coeff_0() const; + void add_numerics_to_hashtab(epvector::iterator first_numeric, + epvector::const_iterator last_non_zero); +#endif // EXPAIRSEQ_USE_HASHTAB + bool is_canonical() const; + std::auto_ptr expandchildren(unsigned options) const; + std::auto_ptr evalchildren(int level) const; + std::auto_ptr subschildren(const exmap & m, unsigned options = 0) const; + // member variables - + protected: - epvector seq; - ex overall_coeff; - static unsigned precedence; -#ifdef EXPAIRSEQ_USE_HASHTAB - epplistvector hashtab; - unsigned hashtabsize; - unsigned hashmask; - static unsigned maxhashtabsize; - static unsigned minhashtabsize; - static unsigned hashtabfactor; -#endif // def EXPAIRSEQ_USE_HASHTAB + epvector seq; + ex overall_coeff; +#if EXPAIRSEQ_USE_HASHTAB + epplistvector hashtab; + unsigned hashtabsize; + unsigned hashmask; + static unsigned maxhashtabsize; + static unsigned minhashtabsize; + static unsigned hashtabfactor; +#endif // EXPAIRSEQ_USE_HASHTAB }; -// global constants - -extern const expairseq some_expairseq; -extern type_info const & typeid_expairseq; - // utility functions -inline const expairseq &ex_to_expairseq(const ex &e) + +/** Specialization of is_exactly_a(obj) for expairseq objects. */ +template<> inline bool is_exactly_a(const basic & obj) { - return static_cast(*e.bp); + return obj.tinfo()==TINFO_expairseq; } -#ifndef NO_GINAC_NAMESPACE } // namespace GiNaC -#endif // ndef NO_GINAC_NAMESPACE #endif // ndef __GINAC_EXPAIRSEQ_H__