#include "expairseq.h"
#include "lst.h"
+#include "relational.h"
#include "print.h"
#include "archive.h"
#include "debugmsg.h"
<< std::hex << ", hash=0x" << hashvalue << ", flags=0x" << flags << std::dec
<< ", nops=" << nops()
<< std::endl;
- for (unsigned i=0; i<seq.size(); ++i) {
+ unsigned num = seq.size();
+ for (unsigned i=0; i<num; ++i) {
seq[i].rest.print(c, level + delta_indent);
seq[i].coeff.print(c, level + delta_indent);
- if (i != seq.size()-1)
+ if (i != num - 1)
c.s << std::string(level + delta_indent, ' ') << "-----" << std::endl;
}
if (!overall_coeff.is_equal(default_overall_coeff())) {
c.s << *it-seq.begin() << " ";
++this_bin_fill;
}
- os << std::endl;
+ c.s << std::endl;
cum_fill += this_bin_fill;
cum_fill_sq += this_bin_fill*this_bin_fill;
}
} else {
c.s << "[[";
- printseq(c, ',', precedence, level);
+ printseq(c, ',', precedence(), level);
c.s << "]]";
}
}
throw(std::logic_error("let_op not defined for expairseq and derived classes (add,mul,...)"));
}
+ex expairseq::map(map_function & f) const
+{
+ epvector *v = new epvector;
+ v->reserve(seq.size());
+
+ epvector::const_iterator cit = seq.begin(), last = seq.end();
+ while (cit != last) {
+ v->push_back(split_ex_to_pair(f(recombine_pair_to_ex(*cit))));
+ ++cit;
+ }
+
+ if (overall_coeff.is_equal(default_overall_coeff()))
+ return thisexpairseq(v, default_overall_coeff());
+ else
+ return thisexpairseq(v, f(overall_coeff));
+}
+
ex expairseq::eval(int level) const
{
if ((level==1) && (flags &status_flags::evaluated))
return (new expairseq(vp,overall_coeff))->setflag(status_flags::dynallocated | status_flags::evaluated);
}
-ex expairseq::evalf(int level) const
+bool expairseq::match(const ex & pattern, lst & repl_lst) const
{
- return thisexpairseq(evalfchildren(level),overall_coeff.evalf(level-1));
-}
+ // 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
-ex expairseq::normal(lst &sym_lst, lst &repl_lst, int level) const
-{
- ex n = thisexpairseq(normalchildren(level),overall_coeff);
- return n.bp->basic::normal(sym_lst,repl_lst,level);
+ if (tinfo() == pattern.bp->tinfo()) {
+
+ // Check whether global wildcard (one that matches the "rest of the
+ // expression", like "*" above) is present
+ bool has_global_wildcard = false;
+ ex global_wildcard;
+ for (unsigned int i=0; i<pattern.nops(); i++) {
+ if (is_ex_exactly_of_type(pattern.op(i), wildcard)) {
+ has_global_wildcard = true;
+ global_wildcard = pattern.op(i);
+ break;
+ }
+ }
+
+ // Unfortunately, this is an O(N^2) operation because we can't
+ // sort the pattern in a useful way...
+
+ // Chop into terms
+ exvector ops;
+ ops.reserve(nops());
+ for (unsigned i=0; i<nops(); i++)
+ ops.push_back(op(i));
+
+ // Now, for every term of the pattern, look for a matching term in
+ // the expression and remove the match
+ for (unsigned i=0; i<pattern.nops(); i++) {
+ ex p = pattern.op(i);
+ if (has_global_wildcard && p.is_equal(global_wildcard))
+ continue;
+ exvector::iterator it = ops.begin(), itend = ops.end();
+ while (it != itend) {
+ if (it->match(p, repl_lst)) {
+ ops.erase(it);
+ goto found;
+ }
+ ++it;
+ }
+ return false; // no match found
+found: ;
+ }
+
+ if (has_global_wildcard) {
+
+ // Assign all the remaining terms to the global wildcard (unless
+ // it has already been matched before, in which case the matches
+ // must be equal)
+ unsigned num = ops.size();
+ epvector *vp = new epvector();
+ vp->reserve(num);
+ for (unsigned i=0; i<num; i++)
+ vp->push_back(split_ex_to_pair(ops[i]));
+ ex rest = thisexpairseq(vp, default_overall_coeff());
+ for (unsigned i=0; i<repl_lst.nops(); i++) {
+ if (repl_lst.op(i).op(0).is_equal(global_wildcard))
+ return rest.is_equal(*repl_lst.op(i).op(1).bp);
+ }
+ repl_lst.append(global_wildcard == rest);
+ return true;
+
+ } else {
+
+ // No global wildcard, then the match fails if there are any
+ // unmatched terms left
+ return ops.empty();
+ }
+ }
+ return inherited::match(pattern, repl_lst);
}
-ex expairseq::subs(const lst &ls, const lst &lr) const
+ex expairseq::subs(const lst &ls, const lst &lr, bool no_pattern) const
{
- epvector *vp = subschildren(ls,lr);
- if (vp==0)
- return inherited::subs(ls, lr);
-
- return thisexpairseq(vp,overall_coeff);
+ epvector *vp = subschildren(ls, lr, no_pattern);
+ if (vp)
+ return thisexpairseq(vp, overall_coeff).bp->basic::subs(ls, lr, no_pattern);
+ else
+ return basic::subs(ls, lr, no_pattern);
}
// protected
-/** Implementation of ex::diff() for an expairseq.
- * It differentiates all elements of the sequence.
- * @see ex::diff */
-ex expairseq::derivative(const symbol &s) const
-{
- return thisexpairseq(diffchildren(s),overall_coeff);
-}
-
int expairseq::compare_same_type(const basic &other) const
{
GINAC_ASSERT(is_of_type(other, expairseq));
- const expairseq &o = static_cast<const expairseq &>(const_cast<basic &>(other));
+ const expairseq &o = static_cast<const expairseq &>(other);
int cmpval;
bool expairseq::is_equal_same_type(const basic &other) const
{
- const expairseq &o = dynamic_cast<const expairseq &>(const_cast<basic &>(other));
+ const expairseq &o = static_cast<const expairseq &>(other);
// compare number of elements
if (seq.size()!=o.seq.size())
unsigned expairseq::calchash(void) const
{
unsigned v = golden_ratio_hash(tinfo());
- for (epvector::const_iterator cit=seq.begin(); cit!=seq.end(); ++cit) {
+ epvector::const_iterator i = seq.begin(), end = seq.end();
+ while (i != end) {
#if !EXPAIRSEQ_USE_HASHTAB
v = rotate_left_31(v); // rotation would spoil commutativity
#endif // EXPAIRSEQ_USE_HASHTAB
- v ^= cit->rest.gethash();
+ v ^= i->rest.gethash();
#if !EXPAIRSEQ_USE_HASHTAB
v = rotate_left_31(v);
- v ^= cit->coeff.gethash();
+ v ^= i->coeff.gethash();
#endif // EXPAIRSEQ_USE_HASHTAB
+ ++i;
}
v ^= overall_coeff.gethash();
ex expairseq::expand(unsigned options) const
{
epvector *vp = expandchildren(options);
- if (vp==0) {
- // the terms have not changed, so it is safe to declare this expanded
- setflag(status_flags::expanded);
- return *this;
- }
-
- return thisexpairseq(vp,overall_coeff);
+ if (vp == NULL) {
+ // The terms have not changed, so it is safe to declare this expanded
+ return (options == 0) ? setflag(status_flags::expanded) : *this;
+ } else
+ return thisexpairseq(vp, overall_coeff);
}
//////////
void expairseq::printpair(const print_context & c, const expair & p, unsigned upper_precedence) const
{
c.s << "[[";
- p.rest.bp->print(c, precedence);
+ p.rest.bp->print(c, precedence());
c.s << ",";
- p.coeff.bp->print(c, precedence);
+ p.coeff.bp->print(c, precedence());
c.s << "]]";
}
GINAC_ASSERT(is_ex_exactly_of_type(p.coeff,numeric));
GINAC_ASSERT(is_ex_exactly_of_type(c,numeric));
- return expair(p.rest,ex_to_numeric(p.coeff).mul_dyn(ex_to_numeric(c)));
+ return expair(p.rest,ex_to<numeric>(p.coeff).mul_dyn(ex_to<numeric>(c)));
}
{
GINAC_ASSERT(is_ex_exactly_of_type(overall_coeff,numeric));
GINAC_ASSERT(is_ex_exactly_of_type(c,numeric));
- overall_coeff = ex_to_numeric(overall_coeff).add_dyn(ex_to_numeric(c));
+ overall_coeff = ex_to<numeric>(overall_coeff).add_dyn(ex_to<numeric>(c));
}
void expairseq::combine_overall_coeff(const ex &c1, const ex &c2)
GINAC_ASSERT(is_ex_exactly_of_type(overall_coeff,numeric));
GINAC_ASSERT(is_ex_exactly_of_type(c1,numeric));
GINAC_ASSERT(is_ex_exactly_of_type(c2,numeric));
- overall_coeff = ex_to_numeric(overall_coeff).
- add_dyn(ex_to_numeric(c1).mul(ex_to_numeric(c2)));
+ overall_coeff = ex_to<numeric>(overall_coeff).
+ add_dyn(ex_to<numeric>(c1).mul(ex_to<numeric>(c2)));
}
bool expairseq::can_make_flat(const expair &p) const
if (lh.bp->tinfo()==tinfo()) {
if (rh.bp->tinfo()==tinfo()) {
#if EXPAIRSEQ_USE_HASHTAB
- unsigned totalsize = ex_to_expairseq(lh).seq.size() +
- ex_to_expairseq(rh).seq.size();
+ unsigned totalsize = ex_to<expairseq>(lh).seq.size() +
+ ex_to<expairseq>(rh).seq.size();
if (calc_hashtabsize(totalsize)!=0) {
construct_from_2_ex_via_exvector(lh,rh);
} else {
#endif // EXPAIRSEQ_USE_HASHTAB
- construct_from_2_expairseq(ex_to_expairseq(lh),
- ex_to_expairseq(rh));
+ construct_from_2_expairseq(ex_to<expairseq>(lh),
+ ex_to<expairseq>(rh));
#if EXPAIRSEQ_USE_HASHTAB
}
#endif // EXPAIRSEQ_USE_HASHTAB
return;
} else {
#if EXPAIRSEQ_USE_HASHTAB
- unsigned totalsize = ex_to_expairseq(lh).seq.size()+1;
+ unsigned totalsize = ex_to<expairseq>(lh).seq.size()+1;
if (calc_hashtabsize(totalsize)!=0) {
construct_from_2_ex_via_exvector(lh, rh);
} else {
#endif // EXPAIRSEQ_USE_HASHTAB
- construct_from_expairseq_ex(ex_to_expairseq(lh), rh);
+ construct_from_expairseq_ex(ex_to<expairseq>(lh), rh);
#if EXPAIRSEQ_USE_HASHTAB
}
#endif // EXPAIRSEQ_USE_HASHTAB
}
} else if (rh.bp->tinfo()==tinfo()) {
#if EXPAIRSEQ_USE_HASHTAB
- unsigned totalsize=ex_to_expairseq(rh).seq.size()+1;
+ unsigned totalsize=ex_to<expairseq>(rh).seq.size()+1;
if (calc_hashtabsize(totalsize)!=0) {
construct_from_2_ex_via_exvector(lh,rh);
} else {
#endif // EXPAIRSEQ_USE_HASHTAB
- construct_from_expairseq_ex(ex_to_expairseq(rh),lh);
+ construct_from_expairseq_ex(ex_to<expairseq>(rh),lh);
#if EXPAIRSEQ_USE_HASHTAB
}
#endif // EXPAIRSEQ_USE_HASHTAB
int cmpval = p1.rest.compare(p2.rest);
if (cmpval==0) {
- p1.coeff=ex_to_numeric(p1.coeff).add_dyn(ex_to_numeric(p2.coeff));
- if (!ex_to_numeric(p1.coeff).is_zero()) {
+ p1.coeff=ex_to<numeric>(p1.coeff).add_dyn(ex_to<numeric>(p2.coeff));
+ if (!ex_to<numeric>(p1.coeff).is_zero()) {
// no further processing is necessary, since this
// one element will usually be recombined in eval()
seq.push_back(p1);
int cmpval = (*first1).rest.compare((*first2).rest);
if (cmpval==0) {
// combine terms
- const numeric &newcoeff = ex_to_numeric((*first1).coeff).
- add(ex_to_numeric((*first2).coeff));
+ const numeric &newcoeff = ex_to<numeric>((*first1).coeff).
+ add(ex_to<numeric>((*first2).coeff));
if (!newcoeff.is_zero()) {
seq.push_back(expair((*first1).rest,newcoeff));
if (expair_needs_further_processing(seq.end()-1)) {
// merge p into s.seq
while (first!=last) {
- int cmpval=(*first).rest.compare(p.rest);
+ int cmpval = (*first).rest.compare(p.rest);
if (cmpval==0) {
// combine terms
- const numeric &newcoeff = ex_to_numeric((*first).coeff).
- add(ex_to_numeric(p.coeff));
+ const numeric &newcoeff = ex_to<numeric>(first->coeff).
+ add(ex_to<numeric>(p.coeff));
if (!newcoeff.is_zero()) {
- seq.push_back(expair((*first).rest,newcoeff));
- if (expair_needs_further_processing(seq.end()-1)) {
+ seq.push_back(expair(first->rest,newcoeff));
+ if (expair_needs_further_processing(seq.end()-1))
needs_further_processing = true;
- }
}
++first;
p_pushed = true;
canonicalize();
combine_same_terms_sorted_seq();
#endif // EXPAIRSEQ_USE_HASHTAB
- return;
}
void expairseq::construct_from_epvector(const epvector &v)
canonicalize();
combine_same_terms_sorted_seq();
#endif // EXPAIRSEQ_USE_HASHTAB
- return;
}
/** Combine this expairseq with argument exvector.
while (cit!=v.end()) {
if (cit->bp->tinfo()==this->tinfo()) {
++nexpairseqs;
- noperands += ex_to_expairseq(*cit).seq.size();
+ noperands += ex_to<expairseq>(*cit).seq.size();
}
++cit;
}
cit = v.begin();
while (cit!=v.end()) {
if (cit->bp->tinfo()==this->tinfo()) {
- const expairseq &subseqref = ex_to_expairseq(*cit);
+ const expairseq &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()) {
}
++cit;
}
-
- return;
}
/** Combine this expairseq with argument epvector.
while (cit!=v.end()) {
if (cit->rest.bp->tinfo()==this->tinfo()) {
++nexpairseqs;
- noperands += ex_to_expairseq((*cit).rest).seq.size();
+ noperands += ex_to<expairseq>(cit->rest).seq.size();
}
++cit;
}
while (cit!=v.end()) {
if (cit->rest.bp->tinfo()==this->tinfo() &&
this->can_make_flat(*cit)) {
- const expairseq &subseqref = ex_to_expairseq((*cit).rest);
- combine_overall_coeff(ex_to_numeric(subseqref.overall_coeff),
- ex_to_numeric((*cit).coeff));
+ const expairseq &subseqref = ex_to<expairseq>(cit->rest);
+ combine_overall_coeff(ex_to<numeric>(subseqref.overall_coeff),
+ ex_to<numeric>(cit->coeff));
epvector::const_iterator cit_s = subseqref.seq.begin();
while (cit_s!=subseqref.seq.end()) {
- seq.push_back(expair((*cit_s).rest,
- ex_to_numeric((*cit_s).coeff).mul_dyn(ex_to_numeric((*cit).coeff))));
+ seq.push_back(expair(cit_s->rest,
+ ex_to<numeric>(cit_s->coeff).mul_dyn(ex_to<numeric>(cit->coeff))));
//seq.push_back(combine_pair_with_coeff_to_pair(*cit_s,
// (*cit).coeff));
++cit_s;
}
++cit;
}
- return;
}
-
/** Brings this expairseq into a sorted (canonical) form. */
void expairseq::canonicalize(void)
{
- // canonicalize
- sort(seq.begin(),seq.end(),expair_is_less());
- return;
+ sort(seq.begin(), seq.end(), expair_is_less());
}
// possible from then on the sequence has changed and must be compacted
bool must_copy = false;
while (itin2!=last) {
- if ((*itin1).rest.compare((*itin2).rest)==0) {
- (*itin1).coeff = ex_to_numeric((*itin1).coeff).
- add_dyn(ex_to_numeric((*itin2).coeff));
+ if ((*itin1).rest.compare(itin2->rest)==0) {
+ (*itin1).coeff = ex_to<numeric>(itin1->coeff).
+ add_dyn(ex_to<numeric>(itin2->coeff));
if (expair_needs_further_processing(itin1))
needs_further_processing = true;
must_copy = true;
} else {
- if (!ex_to_numeric((*itin1).coeff).is_zero()) {
+ if (!ex_to<numeric>(itin1->coeff).is_zero()) {
if (must_copy)
*itout = *itin1;
++itout;
}
++itin2;
}
- if (!ex_to_numeric((*itin1).coeff).is_zero()) {
+ if (!ex_to<numeric>(itin1->coeff).is_zero()) {
if (must_copy)
*itout = *itin1;
++itout;
seq.clear();
construct_from_epvector(v);
}
- return;
}
#if EXPAIRSEQ_USE_HASHTAB
++epplit;
}
if (!erased) {
- printtree(cout,0);
- cout << "tried to erase " << element-seq.begin() << std::endl;
- cout << "size " << seq.end()-seq.begin() << std::endl;
+ std::cout << "tried to erase " << element-seq.begin() << std::endl;
+ std::cout << "size " << seq.end()-seq.begin() << std::endl;
- unsigned hashindex = calc_hashindex((*element).rest);
+ unsigned hashindex = calc_hashindex(element->rest);
epplist &eppl = hashtab[hashindex];
- epplist::iterator epplit=eppl.begin();
- bool erased=false;
+ epplist::iterator epplit = eppl.begin();
+ bool erased = false;
while (epplit!=eppl.end()) {
if (*epplit == element) {
eppl.erase(epplit);
GINAC_ASSERT(epplit!=eppl.end());
}
-void expairseq::sorted_insert(epplist &eppl, epp elem)
+void expairseq::sorted_insert(epplist &eppl, epvector::const_iterator elem)
{
- epplist::iterator current = eppl.begin();
- while ((current!=eppl.end())&&((*(*current)).is_less(*elem))) {
+ epplist::const_iterator current = eppl.begin();
+ while ((current!=eppl.end()) && ((*current)->is_less(*elem))) {
++current;
}
eppl.insert(current,elem);
void expairseq::build_hashtab_and_combine(epvector::iterator &first_numeric,
epvector::iterator &last_non_zero,
- vector<bool> &touched,
+ std::vector<bool> &touched,
unsigned &number_of_zeroes)
{
- epp current=seq.begin();
+ epp current = seq.begin();
while (current!=first_numeric) {
- if (is_ex_exactly_of_type((*current).rest,numeric)) {
+ if (is_ex_exactly_of_type(current->rest,numeric)) {
--first_numeric;
iter_swap(current,first_numeric);
} else {
// calculate hashindex
- unsigned currenthashindex = calc_hashindex((*current).rest);
+ unsigned currenthashindex = calc_hashindex(current->rest);
// test if there is already a matching expair in the hashtab-list
epplist &eppl=hashtab[currenthashindex];
epplist::iterator epplit = eppl.begin();
while (epplit!=eppl.end()) {
- if ((*current).rest.is_equal((*(*epplit)).rest))
+ if (current->rest.is_equal((*epplit)->rest))
break;
++epplit;
}
++current;
} else {
// epplit points to a matching expair, combine it with current
- (*(*epplit)).coeff = ex_to_numeric((*(*epplit)).coeff).
- add_dyn(ex_to_numeric((*current).coeff));
+ (*epplit)->coeff = ex_to<numeric>((*epplit)->coeff).
+ add_dyn(ex_to<numeric>(current->coeff));
// move obsolete current expair to end by swapping with last_non_zero element
// if this was a numeric, it is swapped with the expair before first_numeric
--last_non_zero;
++number_of_zeroes;
// test if combined term has coeff 0 and can be removed is done later
- touched[(*epplit)-seq.begin()]=true;
+ touched[(*epplit)-seq.begin()] = true;
}
}
}
void expairseq::drop_coeff_0_terms(epvector::iterator &first_numeric,
epvector::iterator &last_non_zero,
- vector<bool> &touched,
+ std::vector<bool> &touched,
unsigned &number_of_zeroes)
{
// move terms with coeff 0 to end and remove them from hashtab
if (!touched[i]) {
++current;
++i;
- } else if (!ex_to_numeric((*current).coeff).is_zero()) {
+ } else if (!ex_to<numeric>((*current).coeff).is_zero()) {
++current;
++i;
} else {
if (current!=last_non_zero) {
iter_swap(current,last_non_zero);
--first_numeric;
- bool numeric_swapped=first_numeric!=last_non_zero;
- if (numeric_swapped) iter_swap(first_numeric,current);
+ bool numeric_swapped = first_numeric!=last_non_zero;
+ if (numeric_swapped)
+ iter_swap(first_numeric,current);
epvector::iterator changed_entry;
if (numeric_swapped)
* debugging purposes. */
bool expairseq::has_coeff_0(void) const
{
- for (epvector::const_iterator cit=seq.begin(); cit!=seq.end(); ++cit) {
- if ((*cit).coeff.is_zero())
+ epvector::const_iterator i = seq.begin(), end = seq.end();
+ while (i != end) {
+ if (i->coeff.is_zero())
return true;
+ ++i;
}
return false;
}
void expairseq::add_numerics_to_hashtab(epvector::iterator first_numeric,
epvector::const_iterator last_non_zero)
{
- if (first_numeric==seq.end()) return; // no numerics
+ if (first_numeric == seq.end()) return; // no numerics
- epvector::iterator current = first_numeric;
- epvector::const_iterator last = last_non_zero+1;
- while (current!=last) {
- sorted_insert(hashtab[hashmask],current);
+ epvector::const_iterator current = first_numeric, last = last_non_zero + 1;
+ while (current != last) {
+ sorted_insert(hashtab[hashmask], current);
++current;
}
}
epvector::iterator first_numeric = seq.end();
epvector::iterator last_non_zero = seq.end()-1;
- vector<bool> touched;
- touched.reserve(seq.size());
- for (unsigned i=0; i<seq.size(); ++i) touched[i]=false;
+ unsigned num = seq.size();
+ std::vector<bool> touched(num);
unsigned number_of_zeroes = 0;
GINAC_ASSERT(!has_coeff_0());
build_hashtab_and_combine(first_numeric,last_non_zero,touched,number_of_zeroes);
- /*
- cout << "in combine:" << std::endl;
- printtree(cout,0);
- cout << "size=" << seq.end() - seq.begin() << std::endl;
- cout << "first_numeric=" << first_numeric - seq.begin() << std::endl;
- cout << "last_non_zero=" << last_non_zero - seq.begin() << std::endl;
- for (unsigned i=0; i<seq.size(); ++i) {
- if (touched[i]) cout << i << " is touched" << std::endl;
- }
- cout << "end in combine" << std::endl;
- */
// there should not be any terms with coeff 0 from the beginning,
// so it should be safe to skip this step
if (number_of_zeroes!=0) {
drop_coeff_0_terms(first_numeric,last_non_zero,touched,number_of_zeroes);
- /*
- cout << "in combine after drop:" << std::endl;
- printtree(cout,0);
- cout << "size=" << seq.end() - seq.begin() << std::endl;
- cout << "first_numeric=" << first_numeric - seq.begin() << std::endl;
- cout << "last_non_zero=" << last_non_zero - seq.begin() << std::endl;
- for (unsigned i=0; i<seq.size(); ++i) {
- if (touched[i]) cout << i << " is touched" << std::endl;
- }
- cout << "end in combine after drop" << std::endl;
- */
}
add_numerics_to_hashtab(first_numeric,last_non_zero);
if (hashtabsize > 0) return 1; // not canoncalized
#endif // EXPAIRSEQ_USE_HASHTAB
- epvector::const_iterator it = seq.begin();
+ epvector::const_iterator it = seq.begin(), itend = seq.end();
epvector::const_iterator it_last = it;
- for (++it; it!=seq.end(); it_last=it, ++it) {
- if (!((*it_last).is_less(*it) || (*it_last).is_equal(*it))) {
- if (!is_ex_exactly_of_type((*it_last).rest,numeric) ||
- !is_ex_exactly_of_type((*it).rest,numeric)) {
+ for (++it; it!=itend; it_last=it, ++it) {
+ if (!(it_last->is_less(*it) || it_last->is_equal(*it))) {
+ if (!is_ex_exactly_of_type(it_last->rest,numeric) ||
+ !is_ex_exactly_of_type(it->rest,numeric)) {
// double test makes it easier to set a breakpoint...
- if (!is_ex_exactly_of_type((*it_last).rest,numeric) ||
- !is_ex_exactly_of_type((*it).rest,numeric)) {
+ if (!is_ex_exactly_of_type(it_last->rest,numeric) ||
+ !is_ex_exactly_of_type(it->rest,numeric)) {
printpair(std::clog, *it_last, 0);
std::clog << ">";
printpair(std::clog, *it, 0);
std::clog << "\n";
std::clog << "pair1:" << std::endl;
- (*it_last).rest.print(print_tree(std::clog));
- (*it_last).coeff.print(print_tree(std::clog));
+ it_last->rest.print(print_tree(std::clog));
+ it_last->coeff.print(print_tree(std::clog));
std::clog << "pair2:" << std::endl;
- (*it).rest.print(print_tree(std::clog));
- (*it).coeff.print(print_tree(std::clog));
+ it->rest.print(print_tree(std::clog));
+ it->coeff.print(print_tree(std::clog));
return 0;
}
}
epvector::const_iterator last = seq.end();
epvector::const_iterator cit = seq.begin();
while (cit!=last) {
- const ex &expanded_ex = (*cit).rest.expand(options);
- if (!are_ex_trivially_equal((*cit).rest,expanded_ex)) {
+ const ex &expanded_ex = cit->rest.expand(options);
+ if (!are_ex_trivially_equal(cit->rest,expanded_ex)) {
// something changed, copy seq, eval and return it
epvector *s = new epvector;
}
// copy first changed element
s->push_back(combine_ex_with_coeff_to_pair(expanded_ex,
- (*cit2).coeff));
+ cit2->coeff));
++cit2;
// copy rest
while (cit2!=last) {
- s->push_back(combine_ex_with_coeff_to_pair((*cit2).rest.expand(options),
- (*cit2).coeff));
+ s->push_back(combine_ex_with_coeff_to_pair(cit2->rest.expand(options),
+ cit2->coeff));
++cit2;
}
return s;
throw(std::runtime_error("max recursion level reached"));
--level;
- epvector::const_iterator last=seq.end();
- epvector::const_iterator cit=seq.begin();
+ epvector::const_iterator last = seq.end();
+ epvector::const_iterator cit = seq.begin();
while (cit!=last) {
- const ex &evaled_ex = (*cit).rest.eval(level);
- if (!are_ex_trivially_equal((*cit).rest,evaled_ex)) {
+ const ex &evaled_ex = cit->rest.eval(level);
+ if (!are_ex_trivially_equal(cit->rest,evaled_ex)) {
// something changed, copy seq, eval and return it
epvector *s = new epvector;
}
// copy first changed element
s->push_back(combine_ex_with_coeff_to_pair(evaled_ex,
- (*cit2).coeff));
+ cit2->coeff));
++cit2;
// copy rest
while (cit2!=last) {
- s->push_back(combine_ex_with_coeff_to_pair((*cit2).rest.eval(level),
- (*cit2).coeff));
+ s->push_back(combine_ex_with_coeff_to_pair(cit2->rest.eval(level),
+ cit2->coeff));
++cit2;
}
return s;
}
-/** Member-wise evaluate numerically all expairs in this sequence.
+/** Member-wise substitute in this sequence.
*
- * @see expairseq::evalf()
- * @return epvector with all entries evaluated numerically. */
-epvector expairseq::evalfchildren(int level) const
+ * @see expairseq::subs()
+ * @return pointer to epvector containing pairs after application of subs,
+ * or NULL pointer if no members were changed. */
+epvector * expairseq::subschildren(const lst &ls, const lst &lr, bool no_pattern) const
{
- if (level==1)
- return seq;
-
- if (level==-max_recursion_level)
- throw(std::runtime_error("max recursion level reached"));
-
- epvector s;
- s.reserve(seq.size());
-
- --level;
- for (epvector::const_iterator it=seq.begin(); it!=seq.end(); ++it) {
- s.push_back(combine_ex_with_coeff_to_pair((*it).rest.evalf(level),
- (*it).coeff.evalf(level)));
- }
- return s;
-}
+ GINAC_ASSERT(ls.nops()==lr.nops());
+ // The substitution is "complex" when any of the objects to be substituted
+ // is a product or power. In this case we have to recombine the pairs
+ // because the numeric coefficients may be part of the search pattern.
+ bool complex_subs = false;
+ for (unsigned i=0; i<ls.nops(); ++i)
+ if (is_ex_exactly_of_type(ls.op(i), mul) || is_ex_exactly_of_type(ls.op(i), power)) {
+ complex_subs = true;
+ break;
+ }
-/** Member-wise normalize all expairs in this sequence.
- *
- * @see expairseq::normal()
- * @return epvector with all entries normalized. */
-epvector expairseq::normalchildren(int level) const
-{
- if (level==1)
- return seq;
-
- if (level==-max_recursion_level)
- throw(std::runtime_error("max recursion level reached"));
-
- epvector s;
- s.reserve(seq.size());
-
- --level;
- for (epvector::const_iterator it=seq.begin(); it!=seq.end(); ++it) {
- s.push_back(combine_ex_with_coeff_to_pair((*it).rest.normal(level),
- (*it).coeff));
- }
- return s;
-}
+ if (complex_subs) {
+ // Substitute in the recombined pairs
+ epvector::const_iterator cit = seq.begin(), last = seq.end();
+ while (cit != last) {
-/** Member-wise differentiate all expairs in this sequence.
- *
- * @see expairseq::diff()
- * @return epvector with all entries differentiated. */
-epvector expairseq::diffchildren(const symbol &y) const
-{
- epvector s;
- s.reserve(seq.size());
-
- for (epvector::const_iterator it=seq.begin(); it!=seq.end(); ++it) {
- s.push_back(combine_ex_with_coeff_to_pair((*it).rest.diff(y),
- (*it).coeff));
- }
- return s;
-}
+ const ex &orig_ex = recombine_pair_to_ex(*cit);
+ const ex &subsed_ex = orig_ex.subs(ls, lr, no_pattern);
+ if (!are_ex_trivially_equal(orig_ex, subsed_ex)) {
+ // Something changed, copy seq, subs and return it
+ epvector *s = new epvector;
+ s->reserve(seq.size());
-/** Member-wise substitute in this sequence.
- *
- * @see expairseq::subs()
- * @return pointer to epvector containing pairs after application of subs or zero
- * pointer, if no members were changed. */
-epvector * expairseq::subschildren(const lst &ls, const lst &lr) const
-{
- // returns a NULL pointer if nothing had to be substituted
- // returns a pointer to a newly created epvector otherwise
- // (which has to be deleted somewhere else)
- GINAC_ASSERT(ls.nops()==lr.nops());
-
- epvector::const_iterator last = seq.end();
- epvector::const_iterator cit = seq.begin();
- while (cit!=last) {
- const ex &subsed_ex=(*cit).rest.subs(ls,lr);
- if (!are_ex_trivially_equal((*cit).rest,subsed_ex)) {
+ // Copy parts of seq which are known not to have changed
+ s->insert(s->begin(), seq.begin(), cit);
+
+ // Copy first changed element
+ s->push_back(split_ex_to_pair(subsed_ex));
+ ++cit;
+
+ // Copy rest
+ while (cit != last) {
+ s->push_back(split_ex_to_pair(recombine_pair_to_ex(*cit).subs(ls, lr, no_pattern)));
+ ++cit;
+ }
+ return s;
+ }
+
+ ++cit;
+ }
+
+ } else {
+
+ // Substitute only in the "rest" part of the pairs
+ epvector::const_iterator cit = seq.begin(), last = seq.end();
+ while (cit != last) {
+
+ const ex &subsed_ex = cit->rest.subs(ls, lr, no_pattern);
+ if (!are_ex_trivially_equal(cit->rest, subsed_ex)) {
- // something changed, copy seq, subs and return it
- epvector *s = new epvector;
- s->reserve(seq.size());
+ // Something changed, copy seq, subs and return it
+ epvector *s = new epvector;
+ s->reserve(seq.size());
+
+ // Copy parts of seq which are known not to have changed
+ s->insert(s->begin(), seq.begin(), cit);
- // copy parts of seq which are known not to have changed
- epvector::const_iterator cit2 = seq.begin();
- while (cit2!=cit) {
- s->push_back(*cit2);
- ++cit2;
- }
- // copy first changed element
- s->push_back(combine_ex_with_coeff_to_pair(subsed_ex,
- (*cit2).coeff));
- ++cit2;
- // copy rest
- while (cit2!=last) {
- s->push_back(combine_ex_with_coeff_to_pair((*cit2).rest.subs(ls,lr),
- (*cit2).coeff));
- ++cit2;
+ // Copy first changed element
+ s->push_back(combine_ex_with_coeff_to_pair(subsed_ex, cit->coeff));
+ ++cit;
+
+ // Copy rest
+ while (cit != last) {
+ s->push_back(combine_ex_with_coeff_to_pair(cit->rest.subs(ls, lr, no_pattern),
+ cit->coeff));
+ ++cit;
+ }
+ return s;
}
- return s;
+
+ ++cit;
}
- ++cit;
}
- return 0; // signalling nothing has changed
+ // Nothing has changed
+ return NULL;
}
//////////
// static member variables
//////////
-// protected
-
-unsigned expairseq::precedence = 10;
-
#if EXPAIRSEQ_USE_HASHTAB
unsigned expairseq::maxhashtabsize = 0x4000000U;
unsigned expairseq::minhashtabsize = 0x1000U;
git://www.ginac.de / ginac.git / blobdiff