* Interface to sequences of expression pairs. */
/*
- * GiNaC Copyright (C) 1999-2004 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2016 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
*
* 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
+ * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
*/
-#ifndef __GINAC_EXPAIRSEQ_H__
-#define __GINAC_EXPAIRSEQ_H__
-
-#include <vector>
-#include <list>
-#include <memory>
-// CINT needs <algorithm> to work properly with <vector> and <list>
-#include <algorithm>
+#ifndef GINAC_EXPAIRSEQ_H
+#define GINAC_EXPAIRSEQ_H
#include "expair.h"
+#include "indexed.h"
-namespace GiNaC {
+#include <vector>
-/** 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
+namespace GiNaC {
typedef std::vector<expair> epvector; ///< expair-vector
typedef epvector::iterator epp; ///< expair-vector pointer
-typedef std::list<epp> epplist; ///< list of expair-vector pointers
-typedef std::vector<epplist> epplistvector; ///< vector of epplist
/** Complex conjugate every element of an epvector. Returns zero if this
* does not change anything. */
public:
expairseq(const ex & lh, const ex & rh);
expairseq(const exvector & v);
- expairseq(const epvector & v, const ex & oc);
- expairseq(std::auto_ptr<epvector>, const ex & oc);
+ expairseq(const epvector & v, const ex & oc, bool do_index_renaming = false);
+ expairseq(epvector && vp, const ex & oc, bool do_index_renaming = false);
// functions overriding virtual functions from base classes
public:
- 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;
- ex conjugate() const;
+ unsigned precedence() const override {return 10;}
+ bool info(unsigned inf) const override;
+ size_t nops() const override;
+ ex op(size_t i) const override;
+ ex map(map_function & f) const override;
+ ex eval() const override;
+ ex to_rational(exmap & repl) const override;
+ ex to_polynomial(exmap & repl) const override;
+ bool match(const ex & pattern, exmap& repl_lst) const override;
+ ex subs(const exmap & m, unsigned options = 0) const override;
+ ex conjugate() const override;
+
+ void archive(archive_node& n) const override;
+ void read_archive(const archive_node& n, lst& syms) override;
protected:
- bool is_equal_same_type(const basic & other) const;
- unsigned return_type() const;
- unsigned calchash() const;
- ex expand(unsigned options=0) const;
+ bool is_equal_same_type(const basic & other) const override;
+ unsigned return_type() const override;
+ unsigned calchash() const override;
+ ex expand(unsigned options=0) const override;
// new virtual functions which can be overridden by derived classes
protected:
- virtual ex thisexpairseq(const epvector & v, const ex & oc) const;
- virtual ex thisexpairseq(std::auto_ptr<epvector> vp, const ex & oc) const;
+ virtual ex thisexpairseq(const epvector & v, const ex & oc, bool do_index_renaming = false) const;
+ virtual ex thisexpairseq(epvector && vp, const ex & oc, bool do_index_renaming = false) const;
virtual void printseq(const print_context & c, char delim,
unsigned this_precedence,
unsigned upper_precedence) const;
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;
+ const ex & c) const;
virtual expair combine_pair_with_coeff_to_pair(const expair & p,
- const ex & c) const;
+ 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;
protected:
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 construct_from_epvector(const epvector & v, bool do_index_renaming = false);
+ void construct_from_epvector(epvector && v, bool do_index_renaming = false);
void make_flat(const exvector & v);
- void make_flat(const epvector & v);
+ void make_flat(const epvector & v, bool do_index_renaming = false);
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<bool> & touched,
- unsigned & number_of_zeroes);
- void drop_coeff_0_terms(epvector::iterator & first_numeric,
- epvector::iterator & last_non_zero,
- vector<bool> & 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<epvector> expandchildren(unsigned options) const;
- std::auto_ptr<epvector> evalchildren(int level) const;
- std::auto_ptr<epvector> subschildren(const exmap & m, unsigned options = 0) const;
+ epvector expandchildren(unsigned options) const;
+ epvector evalchildren() const;
+ epvector subschildren(const exmap & m, unsigned options = 0) const;
// member variables
protected:
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
};
-// utility functions
-
-/** Specialization of is_exactly_a<expairseq>(obj) for expairseq objects. */
-template<> inline bool is_exactly_a<expairseq>(const basic & obj)
+/** Class to handle the renaming of dummy indices. It holds a vector of
+ * indices that are being used in the expression so far. If the same
+ * index occurs again as a dummy index in a factor, it is to be renamed.
+ * Unless dummy index renaming was switched off, of course ;-) . */
+class make_flat_inserter
{
- return obj.tinfo()==TINFO_expairseq;
-}
+ public:
+ make_flat_inserter(const epvector &epv, bool b): do_renaming(b)
+ {
+ if (!do_renaming)
+ return;
+ for (epvector::const_iterator i=epv.begin(); i!=epv.end(); ++i)
+ if(are_ex_trivially_equal(i->coeff, 1))
+ combine_indices(i->rest.get_free_indices());
+ }
+ make_flat_inserter(const exvector &v, bool b): do_renaming(b)
+ {
+ if (!do_renaming)
+ return;
+ for (exvector::const_iterator i=v.begin(); i!=v.end(); ++i)
+ combine_indices(i->get_free_indices());
+ }
+ ex handle_factor(const ex &x, const ex &coeff)
+ {
+ if (!do_renaming)
+ return x;
+ exvector dummies_of_factor;
+ if (is_a<numeric>(coeff) && coeff.is_equal(GiNaC::numeric(1)))
+ dummies_of_factor = get_all_dummy_indices_safely(x);
+ else if (is_a<numeric>(coeff) && coeff.is_equal(GiNaC::numeric(2)))
+ dummies_of_factor = x.get_free_indices();
+ else
+ return x;
+ if (dummies_of_factor.size() == 0)
+ return x;
+ sort(dummies_of_factor.begin(), dummies_of_factor.end(), ex_is_less());
+ ex new_factor = rename_dummy_indices_uniquely(used_indices,
+ dummies_of_factor, x);
+ combine_indices(dummies_of_factor);
+ return new_factor;
+ }
+ private:
+ void combine_indices(const exvector &dummies_of_factor)
+ {
+ exvector new_dummy_indices;
+ set_union(used_indices.begin(), used_indices.end(),
+ dummies_of_factor.begin(), dummies_of_factor.end(),
+ std::back_insert_iterator<exvector>(new_dummy_indices), ex_is_less());
+ used_indices.swap(new_dummy_indices);
+ }
+ bool do_renaming;
+ exvector used_indices;
+};
} // namespace GiNaC
-#endif // ndef __GINAC_EXPAIRSEQ_H__
+#endif // ndef GINAC_EXPAIRSEQ_H
git://www.ginac.de / ginac.git / blobdiff