* Implementation of sequences of expression pairs. */
/*
- * GiNaC Copyright (C) 1999-2001 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
* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
*/
+#include <iostream>
#include <algorithm>
#include <string>
#include <stdexcept>
#include "expairseq.h"
#include "lst.h"
+#include "mul.h"
+#include "power.h"
#include "relational.h"
+#include "wildcard.h"
#include "print.h"
#include "archive.h"
-#include "debugmsg.h"
#include "utils.h"
#if EXPAIRSEQ_USE_HASHTAB
namespace GiNaC {
+
GINAC_IMPLEMENT_REGISTERED_CLASS_NO_CTORS(expairseq, basic)
//////////
};
//////////
-// default ctor, dtor, copy ctor assignment operator and helpers
+// default ctor, dtor, copy ctor, assignment operator and helpers
//////////
// public
expairseq::expairseq(const expairseq &other)
{
- debugmsg("expairseq copy ctor",LOGLEVEL_CONSTRUCT);
copy(other);
}
const expairseq &expairseq::operator=(const expairseq &other)
{
- debugmsg("expairseq operator=",LOGLEVEL_ASSIGNMENT);
if (this != &other) {
destroy(true);
copy(other);
expairseq::expairseq(const ex &lh, const ex &rh) : inherited(TINFO_expairseq)
{
- debugmsg("expairseq ctor from ex,ex",LOGLEVEL_CONSTRUCT);
construct_from_2_ex(lh,rh);
GINAC_ASSERT(is_canonical());
}
expairseq::expairseq(const exvector &v) : inherited(TINFO_expairseq)
{
- debugmsg("expairseq ctor from exvector",LOGLEVEL_CONSTRUCT);
construct_from_exvector(v);
GINAC_ASSERT(is_canonical());
}
expairseq::expairseq(const epvector &v, const ex &oc)
: inherited(TINFO_expairseq), overall_coeff(oc)
{
- debugmsg("expairseq ctor from epvector,ex",LOGLEVEL_CONSTRUCT);
+ GINAC_ASSERT(is_a<numeric>(oc));
construct_from_epvector(v);
GINAC_ASSERT(is_canonical());
}
expairseq::expairseq(epvector *vp, const ex &oc)
: inherited(TINFO_expairseq), overall_coeff(oc)
{
- debugmsg("expairseq ctor from epvector *,ex",LOGLEVEL_CONSTRUCT);
GINAC_ASSERT(vp!=0);
+ GINAC_ASSERT(is_a<numeric>(oc));
construct_from_epvector(*vp);
delete vp;
GINAC_ASSERT(is_canonical());
, hashtabsize(0)
#endif
{
- debugmsg("expairseq ctor from archive_node", LOGLEVEL_CONSTRUCT);
for (unsigned int i=0; true; i++) {
ex rest;
ex coeff;
DEFAULT_UNARCHIVE(expairseq)
//////////
-// functions overriding virtual functions from bases classes
+// functions overriding virtual functions from base classes
//////////
// public
basic *expairseq::duplicate() const
{
- debugmsg("expairseq duplicate",LOGLEVEL_DUPLICATE);
return new expairseq(*this);
}
-void expairseq::print(const print_context & c, unsigned level) const
+void expairseq::print(const print_context &c, unsigned level) const
{
- debugmsg("expairseq print",LOGLEVEL_PRINT);
-
if (is_of_type(c, print_tree)) {
unsigned delta_indent = static_cast<const print_tree &>(c).delta_indent;
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;
}
throw(std::logic_error("let_op not defined for expairseq and derived classes (add,mul,...)"));
}
-ex expairseq::map(map_function & f) const
+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++;
+ ++cit;
}
- return thisexpairseq(v, f(overall_coeff));
+ if (overall_coeff.is_equal(default_overall_coeff()))
+ return thisexpairseq(v, default_overall_coeff());
+ else
+ return thisexpairseq(v, f(overall_coeff));
}
+/** Perform coefficient-wise automatic term rewriting rules in this class. */
ex expairseq::eval(int level) const
{
if ((level==1) && (flags &status_flags::evaluated))
// 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 (tinfo() == pattern.bp->tinfo()) {
+ if (this->tinfo() == ex_to<basic>(pattern).tinfo()) {
// Check whether global wildcard (one that matches the "rest of the
// expression", like "*" above) is present
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);
+ return rest.is_equal(repl_lst.op(i).op(1));
}
repl_lst.append(global_wildcard == rest);
return true;
{
epvector *vp = subschildren(ls, lr, no_pattern);
if (vp)
- return thisexpairseq(vp, overall_coeff).bp->basic::subs(ls, lr, no_pattern);
+ return ex_to<basic>(thisexpairseq(vp, overall_coeff));
else
return basic::subs(ls, lr, no_pattern);
}
int expairseq::compare_same_type(const basic &other) const
{
- GINAC_ASSERT(is_of_type(other, expairseq));
+ GINAC_ASSERT(is_a<expairseq>(other));
const expairseq &o = static_cast<const expairseq &>(other);
int cmpval;
unsigned expairseq::calchash(void) const
{
- unsigned v = golden_ratio_hash(tinfo());
+ unsigned v = golden_ratio_hash(this->tinfo());
epvector::const_iterator i = seq.begin(), end = seq.end();
while (i != end) {
#if !EXPAIRSEQ_USE_HASHTAB
epvector *vp = expandchildren(options);
if (vp == NULL) {
// The terms have not changed, so it is safe to declare this expanded
- return this->setflag(status_flags::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.print(c, precedence());
c.s << ",";
- p.coeff.bp->print(c, precedence());
+ p.coeff.print(c, precedence());
c.s << "]]";
}
* @see expairseq::recombine_pair_to_ex() */
expair expairseq::split_ex_to_pair(const ex &e) const
{
- return expair(e,_ex1());
+ return expair(e,_ex1);
}
expair expairseq::combine_ex_with_coeff_to_pair(const ex &e,
const ex &c) const
{
- GINAC_ASSERT(is_ex_exactly_of_type(c,numeric));
+ GINAC_ASSERT(is_exactly_a<numeric>(c));
return expair(e,c);
}
expair expairseq::combine_pair_with_coeff_to_pair(const expair &p,
const ex &c) const
{
- GINAC_ASSERT(is_ex_exactly_of_type(p.coeff,numeric));
- GINAC_ASSERT(is_ex_exactly_of_type(c,numeric));
+ GINAC_ASSERT(is_exactly_a<numeric>(p.coeff));
+ GINAC_ASSERT(is_exactly_a<numeric>(c));
return expair(p.rest,ex_to<numeric>(p.coeff).mul_dyn(ex_to<numeric>(c)));
}
ex expairseq::default_overall_coeff(void) const
{
- return _ex0();
+ return _ex0;
}
void expairseq::combine_overall_coeff(const ex &c)
{
- GINAC_ASSERT(is_ex_exactly_of_type(overall_coeff,numeric));
- GINAC_ASSERT(is_ex_exactly_of_type(c,numeric));
+ GINAC_ASSERT(is_exactly_a<numeric>(overall_coeff));
+ GINAC_ASSERT(is_exactly_a<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));
+ GINAC_ASSERT(is_exactly_a<numeric>(overall_coeff));
+ GINAC_ASSERT(is_exactly_a<numeric>(c1));
+ GINAC_ASSERT(is_exactly_a<numeric>(c2));
overall_coeff = ex_to<numeric>(overall_coeff).
add_dyn(ex_to<numeric>(c1).mul(ex_to<numeric>(c2)));
}
void expairseq::construct_from_2_ex(const ex &lh, const ex &rh)
{
- if (lh.bp->tinfo()==tinfo()) {
- if (rh.bp->tinfo()==tinfo()) {
+ if (ex_to<basic>(lh).tinfo()==this->tinfo()) {
+ if (ex_to<basic>(rh).tinfo()==this->tinfo()) {
#if EXPAIRSEQ_USE_HASHTAB
unsigned totalsize = ex_to<expairseq>(lh).seq.size() +
ex_to<expairseq>(rh).seq.size();
#endif // EXPAIRSEQ_USE_HASHTAB
return;
}
- } else if (rh.bp->tinfo()==tinfo()) {
+ } else if (ex_to<basic>(rh).tinfo()==this->tinfo()) {
#if EXPAIRSEQ_USE_HASHTAB
unsigned totalsize=ex_to<expairseq>(rh).seq.size()+1;
if (calc_hashtabsize(totalsize)!=0) {
int cmpval = p1.rest.compare(p2.rest);
if (cmpval==0) {
- p1.coeff=ex_to<numeric>(p1.coeff).add_dyn(ex_to<numeric>(p2.coeff));
+ 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()
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));
+ seq.push_back(expair(first1->rest,newcoeff));
if (expair_needs_further_processing(seq.end()-1)) {
needs_further_processing = true;
}
// 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).
+ 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;
cit = v.begin();
while (cit!=v.end()) {
- if (cit->bp->tinfo()==this->tinfo()) {
+ if (ex_to<basic>(*cit).tinfo()==this->tinfo()) {
++nexpairseqs;
noperands += ex_to<expairseq>(*cit).seq.size();
}
// copy elements and split off numerical part
cit = v.begin();
while (cit!=v.end()) {
- if (cit->bp->tinfo()==this->tinfo()) {
+ if (ex_to<basic>(*cit).tinfo()==this->tinfo()) {
const expairseq &subseqref = ex_to<expairseq>(*cit);
combine_overall_coeff(subseqref.overall_coeff);
epvector::const_iterator cit_s = subseqref.seq.begin();
cit = v.begin();
while (cit!=v.end()) {
- if (cit->rest.bp->tinfo()==this->tinfo()) {
+ if (ex_to<basic>(cit->rest).tinfo()==this->tinfo()) {
++nexpairseqs;
- noperands += ex_to<expairseq>((*cit).rest).seq.size();
+ noperands += ex_to<expairseq>(cit->rest).seq.size();
}
++cit;
}
// copy elements and split off numerical part
cit = v.begin();
while (cit!=v.end()) {
- if (cit->rest.bp->tinfo()==this->tinfo() &&
+ if (ex_to<basic>(cit->rest).tinfo()==this->tinfo() &&
this->can_make_flat(*cit)) {
- const expairseq &subseqref = ex_to<expairseq>((*cit).rest);
+ const expairseq &subseqref = ex_to<expairseq>(cit->rest);
combine_overall_coeff(ex_to<numeric>(subseqref.overall_coeff),
- ex_to<numeric>((*cit).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;
/** Brings this expairseq into a sorted (canonical) form. */
void expairseq::canonicalize(void)
{
- sort(seq.begin(), seq.end(), expair_is_less());
+ std::sort(seq.begin(), seq.end(), expair_rest_is_less());
}
* instance. */
void expairseq::combine_same_terms_sorted_seq(void)
{
+ if (seq.size()<2)
+ return;
+
bool needs_further_processing = false;
-
- if (seq.size()>1) {
- epvector::iterator itin1 = seq.begin();
- epvector::iterator itin2 = itin1+1;
- epvector::iterator itout = itin1;
- epvector::iterator last = seq.end();
- // must_copy will be set to true the first time some combination is
- // 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 (expair_needs_further_processing(itin1))
- needs_further_processing = true;
- must_copy = true;
- } else {
- if (!ex_to<numeric>((*itin1).coeff).is_zero()) {
- if (must_copy)
- *itout = *itin1;
- ++itout;
- }
- itin1 = itin2;
+
+ epvector::iterator itin1 = seq.begin();
+ epvector::iterator itin2 = itin1+1;
+ epvector::iterator itout = itin1;
+ epvector::iterator last = seq.end();
+ // must_copy will be set to true the first time some combination is
+ // 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 (expair_needs_further_processing(itin1))
+ needs_further_processing = true;
+ must_copy = true;
+ } else {
+ if (!ex_to<numeric>(itin1->coeff).is_zero()) {
+ if (must_copy)
+ *itout = *itin1;
+ ++itout;
}
- ++itin2;
+ itin1 = itin2;
}
- if (!ex_to<numeric>((*itin1).coeff).is_zero()) {
- if (must_copy)
- *itout = *itin1;
- ++itout;
- }
- if (itout!=last)
- seq.erase(itout,last);
+ ++itin2;
}
-
+ if (!ex_to<numeric>(itin1->coeff).is_zero()) {
+ if (must_copy)
+ *itout = *itin1;
+ ++itout;
+ }
+ if (itout!=last)
+ seq.erase(itout,last);
+
if (needs_further_processing) {
epvector v = seq;
seq.clear();
++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::const_iterator current = eppl.begin();
- while ((current!=eppl.end())&&((*(*current)).is_less(*elem))) {
+ while ((current!=eppl.end()) && ((*current)->is_less(*elem))) {
++current;
}
eppl.insert(current,elem);
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;
}
}
}
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)
epvector::const_iterator it = seq.begin(), itend = seq.end();
epvector::const_iterator it_last = it;
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)) {
+ 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;
}
}
* if no members were changed. */
epvector * expairseq::expandchildren(unsigned options) const
{
- epvector::const_iterator last = seq.end();
+ const 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;
// 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++)
+ 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;