GINAC_ASSERT(is_canonical());
}
-expairseq::expairseq(const epvector &v, const ex &oc)
+expairseq::expairseq(const epvector &v, const ex &oc, bool do_index_renaming)
: inherited(&expairseq::tinfo_static), 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)
+expairseq::expairseq(std::auto_ptr<epvector> vp, const ex &oc, bool do_index_renaming)
: inherited(&expairseq::tinfo_static), 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());
}
}
if (overall_coeff.is_equal(default_overall_coeff()))
- return thisexpairseq(v, default_overall_coeff());
+ return thisexpairseq(v, default_overall_coeff(), true);
else
- return thisexpairseq(v, f(overall_coeff));
+ return thisexpairseq(v, f(overall_coeff), true);
}
/** Perform coefficient-wise automatic term rewriting rules in this class. */
{
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, true));
else if ((options & subs_options::algebraic) && is_exactly_a<mul>(*this))
return static_cast<const mul *>(this)->algebraic_subs_mul(m, options);
else
* ctor because the name (add, mul,...) is unknown on the expaiseq 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
} else {
#endif // EXPAIRSEQ_USE_HASHTAB
if(is_a<mul>(lh))
- {
+ {
ex newrh=rename_dummy_indices_uniquely(lh, rh);
construct_from_2_expairseq(ex_to<expairseq>(lh),
ex_to<expairseq>(newrh));
#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 (+,*) -> (*,^)
- make_flat(v);
+ make_flat(v, do_index_renaming);
#if EXPAIRSEQ_USE_HASHTAB
combine_same_terms();
#else
#endif // EXPAIRSEQ_USE_HASHTAB
}
+// 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 swichted of, of course ;-) .
+class make_flat_inserter
+{
+ 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, _ex1))
+ 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 (coeff == _ex1)
+ dummies_of_factor = get_all_dummy_indices_safely(x);
+ else if (coeff == _ex2)
+ 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;
+};
+
+
/** Combine this expairseq with argument exvector.
* It cares for associativity as well as for special handling of numerics. */
void expairseq::make_flat(const exvector &v)
seq.reserve(v.size()+noperands-nexpairseqs);
// copy elements and split off numerical part
- exvector dummy_indices;
+ make_flat_inserter mf(v, this->tinfo()==&mul::tinfo_static);
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()) {
+ 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;
// 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() &&
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;
}
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_safely(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_safely(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_safely(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;
GINAC_ASSERT(is_canonical());
}
-mul::mul(const epvector & v, const ex & oc)
+mul::mul(const epvector & v, const ex & oc, bool do_index_renaming)
{
tinfo_key = &mul::tinfo_static;
overall_coeff = oc;
- construct_from_epvector(v);
+ construct_from_epvector(v, do_index_renaming);
GINAC_ASSERT(is_canonical());
}
-mul::mul(std::auto_ptr<epvector> vp, const ex & oc)
+mul::mul(std::auto_ptr<epvector> vp, const ex & oc, bool do_index_renaming)
{
tinfo_key = &mul::tinfo_static;
GINAC_ASSERT(vp.get()!=0);
overall_coeff = oc;
- construct_from_epvector(*vp);
+ construct_from_epvector(*vp, do_index_renaming);
GINAC_ASSERT(is_canonical());
}
return true;
}
-/** Checks wheter e matches to the pattern pat and the (possibly to be updated
+/** Checks wheter e matches to the pattern pat and the (possibly to be updated)
* list of replacements repls. This matching is in the sense of algebraic
* substitutions. Matching starts with pat.op(factor) of the pattern because
* the factors before this one have already been matched. The (possibly
{
std::vector<bool> subsed(seq.size(), false);
exvector subsresult(seq.size());
+ ex divide_by = 1;
+ ex multiply_by = 1;
for (exmap::const_iterator it = m.begin(); it != m.end(); ++it) {
if(!algebraic_match_mul_with_mul(*this, it->first, repls, 0, nummatches, subsed, currsubsed))
continue;
- bool foundfirstsubsedfactor = false;
- for (size_t j=0; j<subsed.size(); j++) {
- if (currsubsed[j]) {
- if (foundfirstsubsedfactor)
- subsresult[j] = op(j);
- else {
- foundfirstsubsedfactor = true;
- subsresult[j] = op(j) * power(it->second.subs(ex(repls), subs_options::no_pattern) / it->first.subs(ex(repls), subs_options::no_pattern), nummatches);
- }
+ for (size_t j=0; j<subsed.size(); j++)
+ if (currsubsed[j])
subsed[j] = true;
- }
- }
+ ex subsed_pattern
+ = it->first.subs(ex(repls), subs_options::no_pattern);
+ divide_by *= power(subsed_pattern, nummatches);
+ ex subsed_result
+ = it->second.subs(ex(repls), subs_options::no_pattern);
+ multiply_by *= power(subsed_result, nummatches);
goto retry1;
} else {
-retry2:
- int nummatches = std::numeric_limits<int>::max();
- lst repls;
for (size_t j=0; j<this->nops(); j++) {
- if (!subsed[j] && tryfactsubs(op(j), it->first, nummatches, repls)) {
+ int nummatches = std::numeric_limits<int>::max();
+ lst repls;
+ if (!subsed[j] && tryfactsubs(op(j), it->first, nummatches, repls)){
subsed[j] = true;
- subsresult[j] = op(j) * power(it->second.subs(ex(repls), subs_options::no_pattern) / it->first.subs(ex(repls), subs_options::no_pattern), nummatches);
- goto retry2;
+ ex subsed_pattern
+ = it->first.subs(ex(repls), subs_options::no_pattern);
+ divide_by *= power(subsed_pattern, nummatches);
+ ex subsed_result
+ = it->second.subs(ex(repls), subs_options::no_pattern);
+ multiply_by *= power(subsed_result, nummatches);
}
}
}
if (!subsfound)
return subs_one_level(m, options | subs_options::algebraic);
- exvector ev; ev.reserve(nops());
- for (size_t i=0; i<nops(); i++) {
- if (subsed[i])
- ev.push_back(subsresult[i]);
- else
- ev.push_back(op(i));
- }
-
- return (new mul(ev))->setflag(status_flags::dynallocated);
+ return ((*this)/divide_by)*multiply_by;
}
// protected
return this;
}
-ex mul::thisexpairseq(const epvector & v, const ex & oc) const
+ex mul::thisexpairseq(const epvector & v, const ex & oc, bool do_index_renaming) const
{
- return (new mul(v, oc))->setflag(status_flags::dynallocated);
+ return (new mul(v, oc, do_index_renaming))->setflag(status_flags::dynallocated);
}
-ex mul::thisexpairseq(std::auto_ptr<epvector> vp, const ex & oc) const
+ex mul::thisexpairseq(std::auto_ptr<epvector> vp, const ex & oc, bool do_index_renaming) const
{
- return (new mul(vp, oc))->setflag(status_flags::dynallocated);
+ return (new mul(vp, oc, do_index_renaming))->setflag(status_flags::dynallocated);
}
expair mul::split_ex_to_pair(const ex & e) const
git://www.ginac.de / ginac.git / commitdiff