* Implementation of sequences of expression pairs. */
/*
- * GiNaC Copyright (C) 1999-2005 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2015 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
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
*/
-#include <iostream>
-#include <algorithm>
-#include <string>
-#include <stdexcept>
-
#include "expairseq.h"
#include "lst.h"
+#include "add.h"
#include "mul.h"
#include "power.h"
#include "relational.h"
#include "archive.h"
#include "operators.h"
#include "utils.h"
+#include "hash_seed.h"
#include "indexed.h"
+#include "compiler.h"
+#include <algorithm>
#if EXPAIRSEQ_USE_HASHTAB
#include <cmath>
#endif // EXPAIRSEQ_USE_HASHTAB
+#include <iostream>
+#include <iterator>
+#include <stdexcept>
+#include <string>
namespace GiNaC {
// public
-expairseq::expairseq() : inherited(TINFO_expairseq)
+expairseq::expairseq()
#if EXPAIRSEQ_USE_HASHTAB
- , hashtabsize(0)
+ : hashtabsize(0)
#endif // EXPAIRSEQ_USE_HASHTAB
{}
// other constructors
//////////
-expairseq::expairseq(const ex &lh, const ex &rh) : inherited(TINFO_expairseq)
+expairseq::expairseq(const ex &lh, const ex &rh)
{
construct_from_2_ex(lh,rh);
GINAC_ASSERT(is_canonical());
}
-expairseq::expairseq(const exvector &v) : inherited(TINFO_expairseq)
+expairseq::expairseq(const exvector &v)
{
construct_from_exvector(v);
GINAC_ASSERT(is_canonical());
}
-expairseq::expairseq(const epvector &v, const ex &oc)
- : inherited(TINFO_expairseq), overall_coeff(oc)
+expairseq::expairseq(const epvector &v, const ex &oc, bool do_index_renaming)
+ : overall_coeff(oc)
{
GINAC_ASSERT(is_a<numeric>(oc));
- construct_from_epvector(v);
+ construct_from_epvector(v, do_index_renaming);
GINAC_ASSERT(is_canonical());
}
-expairseq::expairseq(std::auto_ptr<epvector> vp, const ex &oc)
- : inherited(TINFO_expairseq), overall_coeff(oc)
+expairseq::expairseq(std::auto_ptr<epvector> vp, const ex &oc, bool do_index_renaming)
+ : overall_coeff(oc)
{
GINAC_ASSERT(vp.get()!=0);
GINAC_ASSERT(is_a<numeric>(oc));
- construct_from_epvector(*vp);
+ construct_from_epvector(*vp, do_index_renaming);
GINAC_ASSERT(is_canonical());
}
// archiving
//////////
-expairseq::expairseq(const archive_node &n, lst &sym_lst) : inherited(n, sym_lst)
-#if EXPAIRSEQ_USE_HASHTAB
- , hashtabsize(0)
-#endif
+void expairseq::read_archive(const archive_node &n, lst &sym_lst)
{
- for (unsigned int i=0; true; i++) {
+ inherited::read_archive(n, sym_lst);
+ archive_node::archive_node_cit first = n.find_first("rest");
+ archive_node::archive_node_cit last = n.find_last("coeff");
+ ++last;
+ seq.reserve((last-first)/2);
+
+ for (archive_node::archive_node_cit loc = first; loc < last;) {
ex rest;
ex coeff;
- if (n.find_ex("rest", rest, sym_lst, i) && n.find_ex("coeff", coeff, sym_lst, i))
- seq.push_back(expair(rest, coeff));
- else
- break;
+ n.find_ex_by_loc(loc++, rest, sym_lst);
+ n.find_ex_by_loc(loc++, coeff, sym_lst);
+ seq.push_back(expair(rest, coeff));
}
n.find_ex("overall_coeff", overall_coeff, sym_lst);
n.add_ex("overall_coeff", overall_coeff);
}
-DEFAULT_UNARCHIVE(expairseq)
//////////
// functions overriding virtual functions from base classes
bool expairseq::info(unsigned inf) const
{
+ switch(inf) {
+ case info_flags::expanded:
+ return (flags & status_flags::expanded);
+ case info_flags::has_indices: {
+ if (flags & status_flags::has_indices)
+ return true;
+ else if (flags & status_flags::has_no_indices)
+ return false;
+ for (epvector::const_iterator i = seq.begin(); i != seq.end(); ++i) {
+ if (i->rest.info(info_flags::has_indices)) {
+ this->setflag(status_flags::has_indices);
+ this->clearflag(status_flags::has_no_indices);
+ return true;
+ }
+ }
+ this->clearflag(status_flags::has_indices);
+ this->setflag(status_flags::has_no_indices);
+ return false;
+ }
+ }
return inherited::info(inf);
}
ex expairseq::map(map_function &f) const
{
std::auto_ptr<epvector> v(new epvector);
- v->reserve(seq.size());
+ v->reserve(seq.size()+1);
epvector::const_iterator cit = seq.begin(), last = seq.end();
while (cit != last) {
}
if (overall_coeff.is_equal(default_overall_coeff()))
- return thisexpairseq(v, default_overall_coeff());
- else
- return thisexpairseq(v, f(overall_coeff));
+ return thisexpairseq(v, default_overall_coeff(), true);
+ else {
+ ex newcoeff = f(overall_coeff);
+ if(is_a<numeric>(newcoeff))
+ return thisexpairseq(v, newcoeff, true);
+ else {
+ v->push_back(split_ex_to_pair(newcoeff));
+ return thisexpairseq(v, default_overall_coeff(), true);
+ }
+ }
}
/** Perform coefficient-wise automatic term rewriting rules in this class. */
return *this;
}
ex result = thisexpairseq(newepv ? *newepv : seq, x);
- if (newepv) {
- delete newepv;
- }
+ delete newepv;
return result;
}
-bool expairseq::match(const ex & pattern, lst & repl_lst) const
+bool expairseq::match(const ex & pattern, exmap & repl_lst) const
{
// This differs from basic::match() because we want "a+b+c+d" to
// match "d+*+b" with "*" being "a+c", and we want to honor commutativity
- if (this->tinfo() == ex_to<basic>(pattern).tinfo()) {
+ if (typeid(*this) == typeid(ex_to<basic>(pattern))) {
// Check whether global wildcard (one that matches the "rest of the
// expression", like "*" above) is present
}
}
+ // Even if the expression does not match the pattern, some of
+ // its subexpressions could match it. For example, x^5*y^(-1)
+ // does not match the pattern $0^5, but its subexpression x^5
+ // does. So, save repl_lst in order to not add bogus entries.
+ exmap tmp_repl = repl_lst;
+
// Unfortunately, this is an O(N^2) operation because we can't
// sort the pattern in a useful way...
continue;
exvector::iterator it = ops.begin(), itend = ops.end();
while (it != itend) {
- if (it->match(p, repl_lst)) {
+ if (it->match(p, tmp_repl)) {
ops.erase(it);
goto found;
}
for (size_t i=0; i<num; i++)
vp->push_back(split_ex_to_pair(ops[i]));
ex rest = thisexpairseq(vp, default_overall_coeff());
- for (lst::const_iterator it = repl_lst.begin(); it != repl_lst.end(); ++it) {
- if (it->op(0).is_equal(global_wildcard))
- return rest.is_equal(it->op(1));
+ for (exmap::const_iterator it = tmp_repl.begin(); it != tmp_repl.end(); ++it) {
+ if (it->first.is_equal(global_wildcard)) {
+ if (rest.is_equal(it->second)) {
+ repl_lst = tmp_repl;
+ return true;
+ }
+ return false;
+ }
}
- repl_lst.append(global_wildcard == rest);
+ repl_lst = tmp_repl;
+ repl_lst[global_wildcard] = rest;
return true;
} else {
// No global wildcard, then the match fails if there are any
// unmatched terms left
- return ops.empty();
+ if (ops.empty()) {
+ repl_lst = tmp_repl;
+ return true;
+ }
+ return false;
}
}
return inherited::match(pattern, repl_lst);
{
std::auto_ptr<epvector> vp = subschildren(m, options);
if (vp.get())
- return ex_to<basic>(thisexpairseq(vp, overall_coeff));
+ return ex_to<basic>(thisexpairseq(vp, overall_coeff, (options & subs_options::no_index_renaming) == 0));
else if ((options & subs_options::algebraic) && is_exactly_a<mul>(*this))
return static_cast<const mul *>(this)->algebraic_subs_mul(m, options);
else
unsigned expairseq::calchash() const
{
- unsigned v = golden_ratio_hash(this->tinfo());
+ unsigned v = make_hash_seed(typeid(*this));
epvector::const_iterator i = seq.begin();
const epvector::const_iterator end = seq.end();
while (i != end) {
* has (at least) two possible different semantics but we want to inherit
* methods thus avoiding code duplication. Sometimes a method in expairseq
* has to create a new one of the same semantics, which cannot be done by a
- * ctor because the name (add, mul,...) is unknown on the expaiseq level. In
+ * ctor because the name (add, mul,...) is unknown on the expairseq level. In
* order for this trick to work a derived class must of course override this
* definition. */
-ex expairseq::thisexpairseq(const epvector &v, const ex &oc) const
+ex expairseq::thisexpairseq(const epvector &v, const ex &oc, bool do_index_renaming) const
{
- return expairseq(v, oc);
+ return expairseq(v, oc, do_index_renaming);
}
-ex expairseq::thisexpairseq(std::auto_ptr<epvector> vp, const ex &oc) const
+ex expairseq::thisexpairseq(std::auto_ptr<epvector> vp, const ex &oc, bool do_index_renaming) const
{
- return expairseq(vp, oc);
+ return expairseq(vp, oc, do_index_renaming);
}
void expairseq::printpair(const print_context & c, const expair & p, unsigned upper_precedence) const
void expairseq::construct_from_2_ex(const ex &lh, const ex &rh)
{
- if (ex_to<basic>(lh).tinfo()==this->tinfo()) {
- if (ex_to<basic>(rh).tinfo()==this->tinfo()) {
+ if (typeid(ex_to<basic>(lh)) == typeid(*this)) {
+ if (typeid(ex_to<basic>(rh)) == typeid(*this)) {
#if EXPAIRSEQ_USE_HASHTAB
unsigned totalsize = ex_to<expairseq>(lh).seq.size() +
ex_to<expairseq>(rh).seq.size();
construct_from_2_ex_via_exvector(lh,rh);
} else {
#endif // EXPAIRSEQ_USE_HASHTAB
- if(is_a<mul>(lh))
- {
+ if (is_a<mul>(lh) && lh.info(info_flags::has_indices) &&
+ rh.info(info_flags::has_indices)) {
ex newrh=rename_dummy_indices_uniquely(lh, rh);
construct_from_2_expairseq(ex_to<expairseq>(lh),
ex_to<expairseq>(newrh));
#endif // EXPAIRSEQ_USE_HASHTAB
return;
}
- } else if (ex_to<basic>(rh).tinfo()==this->tinfo()) {
+ } else if (typeid(ex_to<basic>(rh)) == typeid(*this)) {
#if EXPAIRSEQ_USE_HASHTAB
unsigned totalsize=ex_to<expairseq>(rh).seq.size()+1;
if (calc_hashtabsize(totalsize)!=0) {
}
void expairseq::construct_from_2_expairseq(const expairseq &s1,
- const expairseq &s2)
+ const expairseq &s2)
{
combine_overall_coeff(s1.overall_coeff);
combine_overall_coeff(s2.overall_coeff);
while (first1!=last1 && first2!=last2) {
int cmpval = (*first1).rest.compare((*first2).rest);
+
if (cmpval==0) {
// combine terms
const numeric &newcoeff = ex_to<numeric>(first1->coeff).
}
void expairseq::construct_from_expairseq_ex(const expairseq &s,
- const ex &e)
+ const ex &e)
{
combine_overall_coeff(s.overall_coeff);
if (is_exactly_a<numeric>(e)) {
{
// simplifications: +(a,+(b,c),d) -> +(a,b,c,d) (associativity)
// +(d,b,c,a) -> +(a,b,c,d) (canonicalization)
- // +(...,x,*(x,c1),*(x,c2)) -> +(...,*(x,1+c1+c2)) (c1, c2 numeric())
+ // +(...,x,*(x,c1),*(x,c2)) -> +(...,*(x,1+c1+c2)) (c1, c2 numeric)
// (same for (+,*) -> (*,^)
make_flat(v);
#endif // EXPAIRSEQ_USE_HASHTAB
}
-void expairseq::construct_from_epvector(const epvector &v)
+void expairseq::construct_from_epvector(const epvector &v, bool do_index_renaming)
{
// simplifications: +(a,+(b,c),d) -> +(a,b,c,d) (associativity)
// +(d,b,c,a) -> +(a,b,c,d) (canonicalization)
- // +(...,x,*(x,c1),*(x,c2)) -> +(...,*(x,1+c1+c2)) (c1, c2 numeric())
- // (same for (+,*) -> (*,^)
+ // +(...,x,*(x,c1),*(x,c2)) -> +(...,*(x,1+c1+c2)) (c1, c2 numeric)
+ // same for (+,*) -> (*,^)
- make_flat(v);
+ make_flat(v, do_index_renaming);
#if EXPAIRSEQ_USE_HASHTAB
combine_same_terms();
#else
// and their cumulative number of operands
int nexpairseqs = 0;
int noperands = 0;
+ bool do_idx_rename = false;
cit = v.begin();
while (cit!=v.end()) {
- if (ex_to<basic>(*cit).tinfo()==this->tinfo()) {
+ if (typeid(ex_to<basic>(*cit)) == typeid(*this)) {
++nexpairseqs;
noperands += ex_to<expairseq>(*cit).seq.size();
}
+ if (is_a<mul>(*this) && (!do_idx_rename) &&
+ cit->info(info_flags::has_indices))
+ do_idx_rename = true;
++cit;
}
seq.reserve(v.size()+noperands-nexpairseqs);
// copy elements and split off numerical part
- exvector dummy_indices;
+ make_flat_inserter mf(v, do_idx_rename);
cit = v.begin();
while (cit!=v.end()) {
- if (ex_to<basic>(*cit).tinfo()==this->tinfo()) {
- const expairseq *subseqref;
- ex newfactor;
- if(is_a<mul>(*cit))
- {
- exvector dummies_of_factor = get_all_dummy_indices(*cit);
- sort(dummies_of_factor.begin(), dummies_of_factor.end(), ex_is_less());
- newfactor = rename_dummy_indices_uniquely(dummy_indices, dummies_of_factor, *cit);
- subseqref = &(ex_to<expairseq>(newfactor));
- exvector new_dummy_indices;
- set_union(dummy_indices.begin(), dummy_indices.end(), dummies_of_factor.begin(), dummies_of_factor.end(), std::back_insert_iterator<exvector>(new_dummy_indices), ex_is_less());
- dummy_indices.swap(new_dummy_indices);
- }
- else
- subseqref = &ex_to<expairseq>(*cit);
- combine_overall_coeff(subseqref->overall_coeff);
- epvector::const_iterator cit_s = subseqref->seq.begin();
- while (cit_s!=subseqref->seq.end()) {
+ if (typeid(ex_to<basic>(*cit)) == typeid(*this)) {
+ ex newfactor = mf.handle_factor(*cit, _ex1);
+ const expairseq &subseqref = ex_to<expairseq>(newfactor);
+ combine_overall_coeff(subseqref.overall_coeff);
+ epvector::const_iterator cit_s = subseqref.seq.begin();
+ while (cit_s!=subseqref.seq.end()) {
seq.push_back(*cit_s);
++cit_s;
}
} else {
if (is_exactly_a<numeric>(*cit))
combine_overall_coeff(*cit);
- else
- seq.push_back(split_ex_to_pair(*cit));
+ else {
+ ex newfactor = mf.handle_factor(*cit, _ex1);
+ seq.push_back(split_ex_to_pair(newfactor));
+ }
}
++cit;
}
/** Combine this expairseq with argument epvector.
* It cares for associativity as well as for special handling of numerics. */
-void expairseq::make_flat(const epvector &v)
+void expairseq::make_flat(const epvector &v, bool do_index_renaming)
{
epvector::const_iterator cit;
// and their cumulative number of operands
int nexpairseqs = 0;
int noperands = 0;
+ bool really_need_rename_inds = false;
cit = v.begin();
while (cit!=v.end()) {
- if (ex_to<basic>(cit->rest).tinfo()==this->tinfo()) {
+ if (typeid(ex_to<basic>(cit->rest)) == typeid(*this)) {
++nexpairseqs;
noperands += ex_to<expairseq>(cit->rest).seq.size();
}
+ if ((!really_need_rename_inds) && is_a<mul>(*this) &&
+ cit->rest.info(info_flags::has_indices))
+ really_need_rename_inds = true;
++cit;
}
+ do_index_renaming = do_index_renaming && really_need_rename_inds;
// reserve seq and coeffseq which will hold all operands
seq.reserve(v.size()+noperands-nexpairseqs);
+ make_flat_inserter mf(v, do_index_renaming);
// copy elements and split off numerical part
cit = v.begin();
while (cit!=v.end()) {
- if (ex_to<basic>(cit->rest).tinfo()==this->tinfo() &&
+ if ((typeid(ex_to<basic>(cit->rest)) == typeid(*this)) &&
this->can_make_flat(*cit)) {
- const expairseq &subseqref = ex_to<expairseq>(cit->rest);
+ ex newrest = mf.handle_factor(cit->rest, cit->coeff);
+ const expairseq &subseqref = ex_to<expairseq>(newrest);
combine_overall_coeff(ex_to<numeric>(subseqref.overall_coeff),
ex_to<numeric>(cit->coeff));
epvector::const_iterator cit_s = subseqref.seq.begin();
}
} else {
if (cit->is_canonical_numeric())
- combine_overall_coeff(cit->rest);
- else
- seq.push_back(*cit);
+ combine_overall_coeff(mf.handle_factor(cit->rest, _ex1));
+ else {
+ ex rest = cit->rest;
+ ex newrest = mf.handle_factor(rest, cit->coeff);
+ if (are_ex_trivially_equal(newrest, rest))
+ seq.push_back(*cit);
+ else
+ seq.push_back(expair(newrest, cit->coeff));
+ }
}
++cit;
}
}
void expairseq::add_numerics_to_hashtab(epvector::iterator first_numeric,
- epvector::const_iterator last_non_zero)
+ epvector::const_iterator last_non_zero)
{
if (first_numeric == seq.end()) return; // no numerics
return 1;
#if EXPAIRSEQ_USE_HASHTAB
- if (hashtabsize > 0) return 1; // not canoncalized
+ if (hashtabsize > 0) return 1; // not canonicalized
#endif // EXPAIRSEQ_USE_HASHTAB
epvector::const_iterator it = seq.begin(), itend = seq.end();
// returns a pointer to a newly created epvector otherwise
// (which has to be deleted somewhere else)
- if (level==1)
+ if (likely(level==1))
return std::auto_ptr<epvector>(0);
if (level == -max_recursion_level)
return std::auto_ptr<epvector>(0); // signalling nothing has changed
}
-class safe_inserter
-{
- public:
- safe_inserter(const ex&, const bool disable_renaming=false);
- std::auto_ptr<epvector> getseq(){return epv;}
- void insert_old_pair(const expair &p)
- {
- epv->push_back(p);
- }
- void insert_new_pair(const expair &p, const ex &orig_ex);
- private:
- std::auto_ptr<epvector> epv;
- bool dodummies;
- exvector dummy_indices;
- void update_dummy_indices(const exvector&);
-};
-
-safe_inserter::safe_inserter(const ex&e, const bool disable_renaming)
- :epv(new epvector)
-{
- epv->reserve(e.nops());
- dodummies=is_a<mul>(e);
- if(disable_renaming)
- dodummies=false;
- if(dodummies) {
- dummy_indices = get_all_dummy_indices(e);
- sort(dummy_indices.begin(), dummy_indices.end(), ex_is_less());
- }
-}
-
-void safe_inserter::update_dummy_indices(const exvector &v)
-{
- exvector new_dummy_indices;
- set_union(dummy_indices.begin(), dummy_indices.end(), v.begin(), v.end(),
- std::back_insert_iterator<exvector>(new_dummy_indices), ex_is_less());
- dummy_indices.swap(new_dummy_indices);
-}
-
-void safe_inserter::insert_new_pair(const expair &p, const ex &orig_ex)
-{
- if(!dodummies) {
- epv->push_back(p);
- return;
- }
- exvector dummies_of_factor = get_all_dummy_indices(p.rest);
- if(dummies_of_factor.size() == 0) {
- epv->push_back(p);
- return;
- }
- sort(dummies_of_factor.begin(), dummies_of_factor.end(), ex_is_less());
- exvector dummies_of_orig_ex = get_all_dummy_indices(orig_ex);
- sort(dummies_of_orig_ex.begin(), dummies_of_orig_ex.end(), ex_is_less());
- exvector new_dummy_indices;
- new_dummy_indices.reserve(dummy_indices.size());
- set_difference(dummy_indices.begin(), dummy_indices.end(), dummies_of_orig_ex.begin(), dummies_of_orig_ex.end(),
- std::back_insert_iterator<exvector>(new_dummy_indices), ex_is_less());
- dummy_indices.swap(new_dummy_indices);
- ex newfactor = rename_dummy_indices_uniquely(dummy_indices, dummies_of_factor, p.rest);
- update_dummy_indices(dummies_of_factor);
- epv -> push_back(expair(newfactor, p.coeff));
-}
-
/** Member-wise substitute in this sequence.
*
* @see expairseq::subs()
if (!are_ex_trivially_equal(orig_ex, subsed_ex)) {
// Something changed, copy seq, subs and return it
- safe_inserter s(*this, options & subs_options::no_index_renaming);
+ std::auto_ptr<epvector> s(new epvector);
+ s->reserve(seq.size());
// Copy parts of seq which are known not to have changed
- for(epvector::const_iterator i=seq.begin(); i!=cit; ++i)
- s.insert_old_pair(*i);
+ s->insert(s->begin(), seq.begin(), cit);
// Copy first changed element
- s.insert_new_pair(split_ex_to_pair(subsed_ex), orig_ex);
+ s->push_back(split_ex_to_pair(subsed_ex));
++cit;
// Copy rest
while (cit != last) {
- ex orig_ex = recombine_pair_to_ex(*cit);
- ex subsed_ex = orig_ex.subs(m, options);
- if(are_ex_trivially_equal(orig_ex, subsed_ex))
- s.insert_old_pair(*cit);
- else
- s.insert_new_pair(split_ex_to_pair(subsed_ex), orig_ex);
+ s->push_back(split_ex_to_pair(recombine_pair_to_ex(*cit).subs(m, options)));
++cit;
}
- return s.getseq();
+ return s;
}
++cit;
if (!are_ex_trivially_equal(cit->rest, subsed_ex)) {
// Something changed, copy seq, subs and return it
- safe_inserter s(*this, options & subs_options::no_index_renaming);
+ std::auto_ptr<epvector> s(new epvector);
+ s->reserve(seq.size());
// Copy parts of seq which are known not to have changed
- for(epvector::const_iterator i=seq.begin(); i!=cit; ++i)
- s.insert_old_pair(*i);
+ s->insert(s->begin(), seq.begin(), cit);
// Copy first changed element
- s.insert_new_pair(combine_ex_with_coeff_to_pair(subsed_ex, cit->coeff), cit->rest);
+ s->push_back(combine_ex_with_coeff_to_pair(subsed_ex, cit->coeff));
++cit;
// Copy rest
while (cit != last) {
- const ex &orig_ex = cit->rest;
- const ex &subsed_ex = cit->rest.subs(m, options);
- if(are_ex_trivially_equal(orig_ex, subsed_ex))
- s.insert_old_pair(*cit);
- else
- s.insert_new_pair(combine_ex_with_coeff_to_pair(subsed_ex, cit->coeff), orig_ex);
+ s->push_back(combine_ex_with_coeff_to_pair(cit->rest.subs(m, options), cit->coeff));
++cit;
}
- return s.getseq();
+ return s;
}
++cit;
git://www.ginac.de / ginac.git / blobdiff