* Implementation of sequences of expression pairs. */
/*
- * GiNaC Copyright (C) 1999-2001 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
*
* 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
*/
-#include <algorithm>
-#include <string>
-#include <stdexcept>
-
#include "expairseq.h"
#include "lst.h"
-#include "print.h"
+#include "add.h"
+#include "mul.h"
+#include "power.h"
+#include "relational.h"
+#include "wildcard.h"
#include "archive.h"
-#include "debugmsg.h"
+#include "operators.h"
#include "utils.h"
+#include "hash_seed.h"
+#include "indexed.h"
+#include "compiler.h"
-#if EXPAIRSEQ_USE_HASHTAB
-#include <cmath>
-#endif // EXPAIRSEQ_USE_HASHTAB
+#include <algorithm>
+#include <iostream>
+#include <iterator>
+#include <memory>
+#include <stdexcept>
+#include <string>
namespace GiNaC {
-GINAC_IMPLEMENT_REGISTERED_CLASS_NO_CTORS(expairseq, basic)
+
+GINAC_IMPLEMENT_REGISTERED_CLASS_OPT(expairseq, basic,
+ print_func<print_context>(&expairseq::do_print).
+ print_func<print_tree>(&expairseq::do_print_tree))
+
//////////
// helper classes
};
//////////
-// default ctor, dtor, copy ctor assignment operator and helpers
+// default constructor
//////////
// 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);
- }
- return *this;
-}
+expairseq::expairseq()
+{}
// protected
-/** For use by copy ctor and assignment operator. */
-void expairseq::copy(const expairseq &other)
-{
- inherited::copy(other);
- seq = other.seq;
- overall_coeff = other.overall_coeff;
-#if EXPAIRSEQ_USE_HASHTAB
- // copy hashtab
- hashtabsize = other.hashtabsize;
- if (hashtabsize!=0) {
- hashmask = other.hashmask;
- hashtab.resize(hashtabsize);
- epvector::const_iterator osb = other.seq.begin();
- for (unsigned i=0; i<hashtabsize; ++i) {
- hashtab[i].clear();
- for (epplist::const_iterator cit=other.hashtab[i].begin();
- cit!=other.hashtab[i].end(); ++cit) {
- hashtab[i].push_back(seq.begin()+((*cit)-osb));
- }
- }
- } else {
- hashtab.clear();
- }
-#endif // EXPAIRSEQ_USE_HASHTAB
-}
-
-DEFAULT_DESTROY(expairseq)
-
//////////
-// other ctors
+// other constructors
//////////
-expairseq::expairseq(const ex &lh, const ex &rh) : inherited(TINFO_expairseq)
+expairseq::expairseq(const ex &lh, const ex &rh)
{
- 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)
+expairseq::expairseq(const exvector &v)
{
- 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)
+expairseq::expairseq(const epvector &v, const ex &oc, bool do_index_renaming)
+ : overall_coeff(oc)
{
- debugmsg("expairseq ctor from epvector,ex",LOGLEVEL_CONSTRUCT);
- construct_from_epvector(v);
+ GINAC_ASSERT(is_a<numeric>(oc));
+ construct_from_epvector(v, do_index_renaming);
GINAC_ASSERT(is_canonical());
}
-expairseq::expairseq(epvector *vp, const ex &oc)
- : inherited(TINFO_expairseq), overall_coeff(oc)
+expairseq::expairseq(epvector && vp, const ex &oc, bool do_index_renaming)
+ : overall_coeff(oc)
{
- debugmsg("expairseq ctor from epvector *,ex",LOGLEVEL_CONSTRUCT);
- GINAC_ASSERT(vp!=0);
- construct_from_epvector(*vp);
- delete vp;
+ GINAC_ASSERT(is_a<numeric>(oc));
+ construct_from_epvector(std::move(vp), do_index_renaming);
GINAC_ASSERT(is_canonical());
}
// archiving
//////////
-expairseq::expairseq(const archive_node &n, const 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)
{
- debugmsg("expairseq ctor from archive_node", LOGLEVEL_CONSTRUCT);
- for (unsigned int i=0; true; i++) {
+ inherited::read_archive(n, sym_lst);
+ auto first = n.find_first("rest");
+ auto last = n.find_last("coeff");
+ ++last;
+ seq.reserve((last-first)/2);
+
+ for (auto 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);
+
+ canonicalize();
+ GINAC_ASSERT(is_canonical());
}
void expairseq::archive(archive_node &n) const
{
inherited::archive(n);
- epvector::const_iterator i = seq.begin(), iend = seq.end();
- while (i != iend) {
- n.add_ex("rest", i->rest);
- n.add_ex("coeff", i->coeff);
- ++i;
+ for (auto & i : seq) {
+ n.add_ex("rest", i.rest);
+ n.add_ex("coeff", i.coeff);
}
n.add_ex("overall_coeff", overall_coeff);
}
-DEFAULT_UNARCHIVE(expairseq)
//////////
-// functions overriding virtual functions from bases classes
+// functions overriding virtual functions from base classes
//////////
// public
-basic *expairseq::duplicate() const
+void expairseq::do_print(const print_context & c, unsigned level) const
{
- debugmsg("expairseq duplicate",LOGLEVEL_DUPLICATE);
- return new expairseq(*this);
+ c.s << "[[";
+ printseq(c, ',', precedence(), level);
+ c.s << "]]";
}
-void expairseq::print(const print_context & c, unsigned level) const
+void expairseq::do_print_tree(const print_tree & 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 << std::string(level, ' ') << class_name()
- << std::hex << ", hash=0x" << hashvalue << ", flags=0x" << flags << std::dec
- << ", nops=" << nops()
- << std::endl;
- for (unsigned i=0; i<seq.size(); ++i) {
- seq[i].rest.print(c, level + delta_indent);
- seq[i].coeff.print(c, level + delta_indent);
- if (i != seq.size()-1)
- c.s << std::string(level + delta_indent, ' ') << "-----" << std::endl;
- }
- if (!overall_coeff.is_equal(default_overall_coeff())) {
- c.s << std::string(level + delta_indent, ' ') << "-----" << std::endl
- << std::string(level + delta_indent, ' ') << "overall_coeff" << std::endl;
- overall_coeff.print(c, level + delta_indent);
- }
- c.s << std::string(level + delta_indent,' ') << "=====" << std::endl;
-#if EXPAIRSEQ_USE_HASHTAB
- c.s << std::string(level + delta_indent,' ')
- << "hashtab size " << hashtabsize << std::endl;
- if (hashtabsize == 0) return;
-#define MAXCOUNT 5
- unsigned count[MAXCOUNT+1];
- for (int i=0; i<MAXCOUNT+1; ++i)
- count[i] = 0;
- unsigned this_bin_fill;
- unsigned cum_fill_sq = 0;
- unsigned cum_fill = 0;
- for (unsigned i=0; i<hashtabsize; ++i) {
- this_bin_fill = 0;
- if (hashtab[i].size() > 0) {
- c.s << std::string(level + delta_indent, ' ')
- << "bin " << i << " with entries ";
- for (epplist::const_iterator it=hashtab[i].begin();
- it!=hashtab[i].end(); ++it) {
- c.s << *it-seq.begin() << " ";
- ++this_bin_fill;
- }
- os << std::endl;
- cum_fill += this_bin_fill;
- cum_fill_sq += this_bin_fill*this_bin_fill;
- }
- if (this_bin_fill<MAXCOUNT)
- ++count[this_bin_fill];
- else
- ++count[MAXCOUNT];
- }
- unsigned fact = 1;
- double cum_prob = 0;
- double lambda = (1.0*seq.size()) / hashtabsize;
- for (int k=0; k<MAXCOUNT; ++k) {
- if (k>0)
- fact *= k;
- double prob = std::pow(lambda,k)/fact * std::exp(-lambda);
- cum_prob += prob;
- c.s << std::string(level + delta_indent, ' ') << "bins with " << k << " entries: "
- << int(1000.0*count[k]/hashtabsize)/10.0 << "% (expected: "
- << int(prob*1000)/10.0 << ")" << std::endl;
- }
- c.s << std::string(level + delta_indent, ' ') << "bins with more entries: "
- << int(1000.0*count[MAXCOUNT]/hashtabsize)/10.0 << "% (expected: "
- << int((1-cum_prob)*1000)/10.0 << ")" << std::endl;
-
- c.s << std::string(level + delta_indent, ' ') << "variance: "
- << 1.0/hashtabsize*cum_fill_sq-(1.0/hashtabsize*cum_fill)*(1.0/hashtabsize*cum_fill)
- << std::endl;
- c.s << std::string(level + delta_indent, ' ') << "average fill: "
- << (1.0*cum_fill)/hashtabsize
- << " (should be equal to " << (1.0*seq.size())/hashtabsize << ")" << std::endl;
-#endif // EXPAIRSEQ_USE_HASHTAB
-
- } else {
- c.s << "[[";
- printseq(c, ',', precedence(), level);
- c.s << "]]";
+ c.s << std::string(level, ' ') << class_name() << " @" << this
+ << std::hex << ", hash=0x" << hashvalue << ", flags=0x" << flags << std::dec
+ << ", nops=" << nops()
+ << std::endl;
+ size_t num = seq.size();
+ for (size_t i=0; i<num; ++i) {
+ seq[i].rest.print(c, level + c.delta_indent);
+ seq[i].coeff.print(c, level + c.delta_indent);
+ if (i != num - 1)
+ c.s << std::string(level + c.delta_indent, ' ') << "-----" << std::endl;
+ }
+ if (!overall_coeff.is_equal(default_overall_coeff())) {
+ c.s << std::string(level + c.delta_indent, ' ') << "-----" << std::endl
+ << std::string(level + c.delta_indent, ' ') << "overall_coeff" << std::endl;
+ overall_coeff.print(c, level + c.delta_indent);
}
+ c.s << std::string(level + c.delta_indent,' ') << "=====" << std::endl;
}
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 (auto & i : seq) {
+ 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);
}
-unsigned expairseq::nops() const
+size_t expairseq::nops() const
{
if (overall_coeff.is_equal(default_overall_coeff()))
return seq.size();
return seq.size()+1;
}
-ex expairseq::op(int i) const
+ex expairseq::op(size_t i) const
{
- if (unsigned(i)<seq.size())
+ if (i < seq.size())
return recombine_pair_to_ex(seq[i]);
GINAC_ASSERT(!overall_coeff.is_equal(default_overall_coeff()));
return overall_coeff;
}
-ex &expairseq::let_op(int i)
+ex expairseq::map(map_function &f) const
{
- throw(std::logic_error("let_op not defined for expairseq and derived classes (add,mul,...)"));
+ epvector v;
+ v.reserve(seq.size()+1);
+
+ for (auto & it : seq)
+ v.push_back(split_ex_to_pair(f(recombine_pair_to_ex(it))));
+
+ if (overall_coeff.is_equal(default_overall_coeff()))
+ return thisexpairseq(std::move(v), default_overall_coeff(), true);
+ else {
+ ex newcoeff = f(overall_coeff);
+ if(is_a<numeric>(newcoeff))
+ return thisexpairseq(std::move(v), newcoeff, true);
+ else {
+ v.push_back(split_ex_to_pair(newcoeff));
+ return thisexpairseq(std::move(v), default_overall_coeff(), true);
+ }
+ }
}
-ex expairseq::eval(int level) const
+/** Perform coefficient-wise automatic term rewriting rules in this class. */
+ex expairseq::eval() const
{
- if ((level==1) && (flags &status_flags::evaluated))
+ if (flags &status_flags::evaluated)
return *this;
-
- epvector *vp = evalchildren(level);
- if (vp==0)
+
+ const epvector evaled = evalchildren();
+ if (!evaled.empty())
+ return dynallocate<expairseq>(std::move(evaled), overall_coeff).setflag(status_flags::evaluated);
+ else
return this->hold();
-
- return (new expairseq(vp,overall_coeff))->setflag(status_flags::dynallocated | status_flags::evaluated);
}
-ex expairseq::evalf(int level) const
+epvector* conjugateepvector(const epvector&epv)
{
- return thisexpairseq(evalfchildren(level),overall_coeff.evalf(level-1));
+ epvector *newepv = nullptr;
+ for (auto i=epv.begin(); i!=epv.end(); ++i) {
+ if (newepv) {
+ newepv->push_back(i->conjugate());
+ continue;
+ }
+ expair x = i->conjugate();
+ if (x.is_equal(*i)) {
+ continue;
+ }
+ newepv = new epvector;
+ newepv->reserve(epv.size());
+ for (epvector::const_iterator j=epv.begin(); j!=i; ++j) {
+ newepv->push_back(*j);
+ }
+ newepv->push_back(x);
+ }
+ return newepv;
}
-ex expairseq::normal(lst &sym_lst, lst &repl_lst, int level) const
+ex expairseq::conjugate() const
{
- ex n = thisexpairseq(normalchildren(level),overall_coeff);
- return n.bp->basic::normal(sym_lst,repl_lst,level);
+ std::unique_ptr<epvector> newepv(conjugateepvector(seq));
+ ex x = overall_coeff.conjugate();
+ if (newepv) {
+ return thisexpairseq(std::move(*newepv), x);
+ }
+ if (are_ex_trivially_equal(x, overall_coeff)) {
+ return *this;
+ }
+ return thisexpairseq(seq, x);
}
-ex expairseq::subs(const lst &ls, const lst &lr) const
+bool expairseq::match(const ex & pattern, exmap & repl_lst) const
{
- epvector *vp = subschildren(ls,lr);
- if (vp==0)
- return inherited::subs(ls, lr);
-
- return thisexpairseq(vp,overall_coeff);
-}
+ // 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
-// protected
+ if (typeid(*this) == typeid(ex_to<basic>(pattern))) {
+
+ // 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 (size_t i=0; i<pattern.nops(); i++) {
+ if (is_exactly_a<wildcard>(pattern.op(i))) {
+ has_global_wildcard = true;
+ global_wildcard = pattern.op(i);
+ break;
+ }
+ }
+
+ // 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...
+
+ // Chop into terms
+ exvector ops;
+ ops.reserve(nops());
+ for (size_t 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 (size_t i=0; i<pattern.nops(); i++) {
+ ex p = pattern.op(i);
+ if (has_global_wildcard && p.is_equal(global_wildcard))
+ continue;
+ auto it = ops.begin(), itend = ops.end();
+ while (it != itend) {
+ if (it->match(p, tmp_repl)) {
+ ops.erase(it);
+ goto found;
+ }
+ ++it;
+ }
+ return false; // no match found
+found: ;
+ }
-/** Implementation of ex::diff() for an expairseq.
- * It differentiates all elements of the sequence.
- * @see ex::diff */
-ex expairseq::derivative(const symbol &s) const
+ 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)
+ size_t num = ops.size();
+ epvector vp;
+ vp.reserve(num);
+ for (size_t i=0; i<num; i++)
+ vp.push_back(split_ex_to_pair(ops[i]));
+ ex rest = thisexpairseq(std::move(vp), default_overall_coeff());
+ for (auto & it : tmp_repl) {
+ if (it.first.is_equal(global_wildcard)) {
+ if (rest.is_equal(it.second)) {
+ repl_lst = tmp_repl;
+ return true;
+ }
+ return false;
+ }
+ }
+ 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
+ if (ops.empty()) {
+ repl_lst = tmp_repl;
+ return true;
+ }
+ return false;
+ }
+ }
+ return inherited::match(pattern, repl_lst);
+}
+
+ex expairseq::subs(const exmap & m, unsigned options) const
{
- return thisexpairseq(diffchildren(s),overall_coeff);
+ epvector subsed = subschildren(m, options);
+ if (!subsed.empty())
+ return ex_to<basic>(thisexpairseq(std::move(subsed), 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
+ return subs_one_level(m, options);
}
+// protected
+
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));
+ GINAC_ASSERT(is_a<expairseq>(other));
+ const expairseq &o = static_cast<const expairseq &>(other);
int cmpval;
if (cmpval!=0)
return cmpval;
-#if EXPAIRSEQ_USE_HASHTAB
- GINAC_ASSERT(hashtabsize==o.hashtabsize);
- if (hashtabsize==0) {
-#endif // EXPAIRSEQ_USE_HASHTAB
- epvector::const_iterator cit1 = seq.begin();
- epvector::const_iterator cit2 = o.seq.begin();
- epvector::const_iterator last1 = seq.end();
- epvector::const_iterator last2 = o.seq.end();
-
- for (; (cit1!=last1)&&(cit2!=last2); ++cit1, ++cit2) {
- cmpval = (*cit1).compare(*cit2);
- if (cmpval!=0) return cmpval;
- }
+ auto cit1 = seq.begin(), last1 = seq.end();
+ auto cit2 = o.seq.begin(), last2 = o.seq.end();
+ for (; (cit1!=last1) && (cit2!=last2); ++cit1, ++cit2) {
+ cmpval = (*cit1).compare(*cit2);
+ if (cmpval!=0) return cmpval;
+ }
- GINAC_ASSERT(cit1==last1);
- GINAC_ASSERT(cit2==last2);
+ GINAC_ASSERT(cit1==last1);
+ GINAC_ASSERT(cit2==last2);
- return 0;
-#if EXPAIRSEQ_USE_HASHTAB
- }
-
- // compare number of elements in each hashtab entry
- for (unsigned i=0; i<hashtabsize; ++i) {
- unsigned cursize=hashtab[i].size();
- if (cursize != o.hashtab[i].size())
- return (cursize < o.hashtab[i].size()) ? -1 : 1;
- }
-
- // compare individual (sorted) hashtab entries
- for (unsigned i=0; i<hashtabsize; ++i) {
- unsigned sz = hashtab[i].size();
- if (sz>0) {
- const epplist &eppl1 = hashtab[i];
- const epplist &eppl2 = o.hashtab[i];
- epplist::const_iterator it1 = eppl1.begin();
- epplist::const_iterator it2 = eppl2.begin();
- while (it1!=eppl1.end()) {
- cmpval = (*(*it1)).compare(*(*it2));
- if (cmpval!=0)
- return cmpval;
- ++it1;
- ++it2;
- }
- }
- }
-
- return 0; // equal
-#endif // EXPAIRSEQ_USE_HASHTAB
+ return 0;
}
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())
if (!overall_coeff.is_equal(o.overall_coeff))
return false;
-#if EXPAIRSEQ_USE_HASHTAB
- // compare number of elements in each hashtab entry
- if (hashtabsize!=o.hashtabsize) {
- std::cout << "this:" << std::endl;
- print(print_tree(std::cout));
- std::cout << "other:" << std::endl;
- other.print(print_tree(std::cout));
- }
-
- GINAC_ASSERT(hashtabsize==o.hashtabsize);
-
- if (hashtabsize==0) {
-#endif // EXPAIRSEQ_USE_HASHTAB
- epvector::const_iterator cit1 = seq.begin();
- epvector::const_iterator cit2 = o.seq.begin();
- epvector::const_iterator last1 = seq.end();
-
- while (cit1!=last1) {
- if (!(*cit1).is_equal(*cit2)) return false;
- ++cit1;
- ++cit2;
- }
-
- return true;
-#if EXPAIRSEQ_USE_HASHTAB
- }
-
- for (unsigned i=0; i<hashtabsize; ++i) {
- if (hashtab[i].size() != o.hashtab[i].size())
+ auto cit2 = o.seq.begin();
+ for (auto & cit1 : seq) {
+ if (!cit1.is_equal(*cit2))
return false;
+ ++cit2;
}
- // compare individual sorted hashtab entries
- for (unsigned i=0; i<hashtabsize; ++i) {
- unsigned sz = hashtab[i].size();
- if (sz>0) {
- const epplist &eppl1 = hashtab[i];
- const epplist &eppl2 = o.hashtab[i];
- epplist::const_iterator it1 = eppl1.begin();
- epplist::const_iterator it2 = eppl2.begin();
- while (it1!=eppl1.end()) {
- if (!(*(*it1)).is_equal(*(*it2))) return false;
- ++it1;
- ++it2;
- }
- }
- }
-
return true;
-#endif // EXPAIRSEQ_USE_HASHTAB
}
-unsigned expairseq::return_type(void) const
+unsigned expairseq::return_type() const
{
return return_types::noncommutative_composite;
}
-unsigned expairseq::calchash(void) const
+unsigned expairseq::calchash() const
{
- unsigned v = golden_ratio_hash(tinfo());
- for (epvector::const_iterator cit=seq.begin(); cit!=seq.end(); ++cit) {
-#if !EXPAIRSEQ_USE_HASHTAB
- v = rotate_left_31(v); // rotation would spoil commutativity
-#endif // EXPAIRSEQ_USE_HASHTAB
- v ^= cit->rest.gethash();
-#if !EXPAIRSEQ_USE_HASHTAB
- v = rotate_left_31(v);
- v ^= cit->coeff.gethash();
-#endif // EXPAIRSEQ_USE_HASHTAB
+ unsigned v = make_hash_seed(typeid(*this));
+ for (auto & i : seq) {
+ v ^= i.rest.gethash();
+ v = rotate_left(v);
+ v ^= i.coeff.gethash();
}
-
+
v ^= overall_coeff.gethash();
- v &= 0x7FFFFFFFU;
-
+
// store calculated hash value only if object is already evaluated
if (flags &status_flags::evaluated) {
setflag(status_flags::hash_calculated);
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;
+ epvector expanded = expandchildren(options);
+ if (!expanded.empty()) {
+ return thisexpairseq(std::move(expanded), overall_coeff);
}
-
- return thisexpairseq(vp,overall_coeff);
+ return (options == 0) ? setflag(status_flags::expanded) : *this;
}
//////////
* 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(epvector *vp, const ex &oc) const
+ex expairseq::thisexpairseq(epvector && vp, const ex &oc, bool do_index_renaming) const
{
- return expairseq(vp,oc);
+ return expairseq(std::move(vp), oc, do_index_renaming);
}
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 << "]]";
}
{
if (this_precedence <= upper_precedence)
c.s << "(";
- epvector::const_iterator it, it_last = seq.end() - 1;
- for (it=seq.begin(); it!=it_last; ++it) {
+ auto it = seq.begin(), it_last = seq.end() - 1;
+ for (; it!=it_last; ++it) {
printpair(c, *it, this_precedence);
c.s << delim;
}
* @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)));
+ return expair(p.rest,ex_to<numeric>(p.coeff).mul_dyn(ex_to<numeric>(c)));
}
* @see expairseq::split_ex_to_pair() */
ex expairseq::recombine_pair_to_ex(const expair &p) const
{
- return lst(p.rest,p.coeff);
+ return lst{p.rest, p.coeff};
}
bool expairseq::expair_needs_further_processing(epp it)
{
-#if EXPAIRSEQ_USE_HASHTAB
- //# error "FIXME: expair_needs_further_processing not yet implemented for hashtabs, sorry. A.F."
-#endif // EXPAIRSEQ_USE_HASHTAB
return false;
}
-ex expairseq::default_overall_coeff(void) const
+ex expairseq::default_overall_coeff() 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));
- overall_coeff = ex_to_numeric(overall_coeff).add_dyn(ex_to_numeric(c));
+ 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));
- overall_coeff = ex_to_numeric(overall_coeff).
- add_dyn(ex_to_numeric(c1).mul(ex_to_numeric(c2)));
+ 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)));
}
bool expairseq::can_make_flat(const expair &p) const
// non-virtual functions in this class
//////////
-void expairseq::construct_from_2_ex_via_exvector(const ex &lh, const ex &rh)
-{
- exvector v;
- v.reserve(2);
- v.push_back(lh);
- v.push_back(rh);
- construct_from_exvector(v);
-#if EXPAIRSEQ_USE_HASHTAB
- GINAC_ASSERT((hashtabsize==0)||(hashtabsize>=minhashtabsize));
- GINAC_ASSERT(hashtabsize==calc_hashtabsize(seq.size()));
-#endif // EXPAIRSEQ_USE_HASHTAB
-}
-
void expairseq::construct_from_2_ex(const ex &lh, const ex &rh)
{
- 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();
- 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));
-#if EXPAIRSEQ_USE_HASHTAB
+ if (typeid(ex_to<basic>(lh)) == typeid(*this)) {
+ if (typeid(ex_to<basic>(rh)) == typeid(*this)) {
+ 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
+ else
+ construct_from_2_expairseq(ex_to<expairseq>(lh),
+ ex_to<expairseq>(rh));
return;
} else {
-#if EXPAIRSEQ_USE_HASHTAB
- 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);
-#if EXPAIRSEQ_USE_HASHTAB
- }
-#endif // EXPAIRSEQ_USE_HASHTAB
+ construct_from_expairseq_ex(ex_to<expairseq>(lh), rh);
return;
}
- } else if (rh.bp->tinfo()==tinfo()) {
-#if EXPAIRSEQ_USE_HASHTAB
- 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);
-#if EXPAIRSEQ_USE_HASHTAB
- }
-#endif // EXPAIRSEQ_USE_HASHTAB
- return;
- }
-
-#if EXPAIRSEQ_USE_HASHTAB
- if (calc_hashtabsize(2)!=0) {
- construct_from_2_ex_via_exvector(lh,rh);
+ } else if (typeid(ex_to<basic>(rh)) == typeid(*this)) {
+ construct_from_expairseq_ex(ex_to<expairseq>(rh),lh);
return;
}
- hashtabsize = 0;
-#endif // EXPAIRSEQ_USE_HASHTAB
- if (is_ex_exactly_of_type(lh,numeric)) {
- if (is_ex_exactly_of_type(rh,numeric)) {
+ if (is_exactly_a<numeric>(lh)) {
+ if (is_exactly_a<numeric>(rh)) {
combine_overall_coeff(lh);
combine_overall_coeff(rh);
} else {
seq.push_back(split_ex_to_pair(rh));
}
} else {
- if (is_ex_exactly_of_type(rh,numeric)) {
+ if (is_exactly_a<numeric>(rh)) {
combine_overall_coeff(rh);
seq.push_back(split_ex_to_pair(lh));
} else {
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);
}
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);
- epvector::const_iterator first1 = s1.seq.begin();
- epvector::const_iterator last1 = s1.seq.end();
- epvector::const_iterator first2 = s2.seq.begin();
- epvector::const_iterator last2 = s2.seq.end();
+ auto first1 = s1.seq.begin(), last1 = s1.seq.end();
+ auto first2 = s2.seq.begin(), last2 = s2.seq.end();
seq.reserve(s1.seq.size()+s2.seq.size());
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).
- 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;
}
}
if (needs_further_processing) {
- epvector v = seq;
- seq.clear();
- construct_from_epvector(v);
+ // Clear seq and start over.
+ epvector v = std::move(seq);
+ construct_from_epvector(std::move(v));
}
}
void expairseq::construct_from_expairseq_ex(const expairseq &s,
- const ex &e)
+ const ex &e)
{
combine_overall_coeff(s.overall_coeff);
- if (is_ex_exactly_of_type(e,numeric)) {
+ if (is_exactly_a<numeric>(e)) {
combine_overall_coeff(e);
seq = s.seq;
return;
}
- epvector::const_iterator first = s.seq.begin();
- epvector::const_iterator last = s.seq.end();
+ auto first = s.seq.begin(), last = s.seq.end();
expair p = split_ex_to_pair(e);
seq.reserve(s.seq.size()+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;
}
if (needs_further_processing) {
- epvector v = seq;
- seq.clear();
- construct_from_epvector(v);
+ // Clear seq and start over.
+ epvector v = std::move(seq);
+ construct_from_epvector(std::move(v));
}
}
{
// 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);
-#if EXPAIRSEQ_USE_HASHTAB
- combine_same_terms();
-#else
canonicalize();
combine_same_terms_sorted_seq();
-#endif // EXPAIRSEQ_USE_HASHTAB
- return;
}
-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);
-#if EXPAIRSEQ_USE_HASHTAB
- combine_same_terms();
-#else
+ make_flat(v, do_index_renaming);
+ canonicalize();
+ combine_same_terms_sorted_seq();
+}
+
+void expairseq::construct_from_epvector(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(std::move(v), do_index_renaming);
canonicalize();
combine_same_terms_sorted_seq();
-#endif // EXPAIRSEQ_USE_HASHTAB
- return;
}
/** 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)
{
- exvector::const_iterator cit;
-
// count number of operands which are of same expairseq derived type
// 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 (cit->bp->tinfo()==this->tinfo()) {
+ for (auto & cit : v) {
+ if (typeid(ex_to<basic>(cit)) == typeid(*this)) {
++nexpairseqs;
- noperands += ex_to_expairseq(*cit).seq.size();
+ noperands += ex_to<expairseq>(cit).seq.size();
}
- ++cit;
+ if (is_a<mul>(*this) && (!do_idx_rename) &&
+ cit.info(info_flags::has_indices))
+ do_idx_rename = true;
}
// reserve seq and coeffseq which will hold all operands
seq.reserve(v.size()+noperands-nexpairseqs);
// copy elements and split off numerical part
- cit = v.begin();
- while (cit!=v.end()) {
- if (cit->bp->tinfo()==this->tinfo()) {
- const expairseq &subseqref = ex_to_expairseq(*cit);
+ make_flat_inserter mf(v, do_idx_rename);
+ for (auto & cit : v) {
+ 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;
+ for (auto & cit_s : subseqref.seq) {
+ seq.push_back(cit_s);
}
} else {
- if (is_ex_exactly_of_type(*cit,numeric))
- combine_overall_coeff(*cit);
- else
- seq.push_back(split_ex_to_pair(*cit));
+ if (is_exactly_a<numeric>(cit))
+ combine_overall_coeff(cit);
+ else {
+ ex newfactor = mf.handle_factor(cit, _ex1);
+ seq.push_back(split_ex_to_pair(newfactor));
+ }
}
- ++cit;
}
-
- return;
}
/** 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;
-
// count number of operands which are of same expairseq derived type
// 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 (cit->rest.bp->tinfo()==this->tinfo()) {
+ for (auto & cit : v) {
+ if (typeid(ex_to<basic>(cit.rest)) == typeid(*this)) {
++nexpairseqs;
- noperands += ex_to_expairseq((*cit).rest).seq.size();
+ noperands += ex_to<expairseq>(cit.rest).seq.size();
}
- ++cit;
+ if ((!really_need_rename_inds) && is_a<mul>(*this) &&
+ cit.rest.info(info_flags::has_indices))
+ really_need_rename_inds = true;
}
+ 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 (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));
- 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(combine_pair_with_coeff_to_pair(*cit_s,
- // (*cit).coeff));
- ++cit_s;
+ for (auto & cit : v) {
+ if (typeid(ex_to<basic>(cit.rest)) == typeid(*this) &&
+ this->can_make_flat(cit)) {
+ 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));
+ for (auto & cit_s : subseqref.seq) {
+ seq.push_back(expair(cit_s.rest,
+ ex_to<numeric>(cit_s.coeff).mul_dyn(ex_to<numeric>(cit.coeff))));
}
} else {
- if (cit->is_canonical_numeric())
- combine_overall_coeff(cit->rest);
- else
- seq.push_back(*cit);
+ if (cit.is_canonical_numeric())
+ 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;
}
/** Brings this expairseq into a sorted (canonical) form. */
-void expairseq::canonicalize(void)
+void expairseq::canonicalize()
{
- // canonicalize
- sort(seq.begin(),seq.end(),expair_is_less());
- return;
+ std::sort(seq.begin(), seq.end(), expair_rest_is_less());
}
/** Compact a presorted expairseq by combining all matching expairs to one
* each. On an add object, this is responsible for 2*x+3*x+y -> 5*x+y, for
* instance. */
-void expairseq::combine_same_terms_sorted_seq(void)
+void expairseq::combine_same_terms_sorted_seq()
{
- 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;
- }
- ++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();
- construct_from_epvector(v);
- }
- return;
-}
-
-#if EXPAIRSEQ_USE_HASHTAB
-
-unsigned expairseq::calc_hashtabsize(unsigned sz) const
-{
- unsigned size;
- unsigned nearest_power_of_2 = 1 << log2(sz);
- // if (nearest_power_of_2 < maxhashtabsize/hashtabfactor) {
- // size = nearest_power_of_2*hashtabfactor;
- size = nearest_power_of_2/hashtabfactor;
- if (size<minhashtabsize)
- return 0;
- GINAC_ASSERT(hashtabsize<=0x8000000U); // really max size due to 31 bit hashing
- // hashtabsize must be a power of 2
- GINAC_ASSERT((1U << log2(size))==size);
- return size;
-}
-
-unsigned expairseq::calc_hashindex(const ex &e) const
-{
- // calculate hashindex
- unsigned hash = e.gethash();
- unsigned hashindex;
- if (is_a_numeric_hash(hash)) {
- hashindex = hashmask;
- } else {
- hashindex = hash &hashmask;
- // last hashtab entry is reserved for numerics
- if (hashindex==hashmask) hashindex = 0;
- }
- GINAC_ASSERT(hashindex>=0);
- GINAC_ASSERT((hashindex<hashtabsize)||(hashtabsize==0));
- return hashindex;
-}
-
-void expairseq::shrink_hashtab(void)
-{
- unsigned new_hashtabsize;
- while (hashtabsize!=(new_hashtabsize=calc_hashtabsize(seq.size()))) {
- GINAC_ASSERT(new_hashtabsize<hashtabsize);
- if (new_hashtabsize==0) {
- hashtab.clear();
- hashtabsize = 0;
- canonicalize();
- return;
- }
-
- // shrink by a factor of 2
- unsigned half_hashtabsize = hashtabsize/2;
- for (unsigned i=0; i<half_hashtabsize-1; ++i)
- hashtab[i].merge(hashtab[i+half_hashtabsize],epp_is_less());
- // special treatment for numeric hashes
- hashtab[0].merge(hashtab[half_hashtabsize-1],epp_is_less());
- hashtab[half_hashtabsize-1] = hashtab[hashtabsize-1];
- hashtab.resize(half_hashtabsize);
- hashtabsize = half_hashtabsize;
- hashmask = hashtabsize-1;
- }
-}
-
-void expairseq::remove_hashtab_entry(epvector::const_iterator element)
-{
- if (hashtabsize==0)
- return; // nothing to do
-
- // calculate hashindex of element to be deleted
- unsigned hashindex = calc_hashindex((*element).rest);
-
- // find it in hashtab and remove it
- epplist &eppl = hashtab[hashindex];
- epplist::iterator epplit = eppl.begin();
- bool erased = false;
- while (epplit!=eppl.end()) {
- if (*epplit == element) {
- eppl.erase(epplit);
- erased = true;
- break;
- }
- ++epplit;
- }
- if (!erased) {
- printtree(cout,0);
- cout << "tried to erase " << element-seq.begin() << std::endl;
- cout << "size " << seq.end()-seq.begin() << std::endl;
-
- unsigned hashindex = calc_hashindex((*element).rest);
- epplist &eppl = hashtab[hashindex];
- epplist::iterator epplit=eppl.begin();
- bool erased=false;
- while (epplit!=eppl.end()) {
- if (*epplit == element) {
- eppl.erase(epplit);
- erased = true;
- break;
- }
- ++epplit;
- }
- GINAC_ASSERT(erased);
- }
- GINAC_ASSERT(erased);
-}
-
-void expairseq::move_hashtab_entry(epvector::const_iterator oldpos,
- epvector::iterator newpos)
-{
- GINAC_ASSERT(hashtabsize!=0);
-
- // calculate hashindex of element which was moved
- unsigned hashindex=calc_hashindex((*newpos).rest);
-
- // find it in hashtab and modify it
- epplist &eppl = hashtab[hashindex];
- epplist::iterator epplit = eppl.begin();
- while (epplit!=eppl.end()) {
- if (*epplit == oldpos) {
- *epplit = newpos;
- break;
- }
- ++epplit;
- }
- GINAC_ASSERT(epplit!=eppl.end());
-}
-
-void expairseq::sorted_insert(epplist &eppl, epp elem)
-{
- epplist::iterator current = eppl.begin();
- while ((current!=eppl.end())&&((*(*current)).is_less(*elem))) {
- ++current;
- }
- eppl.insert(current,elem);
-}
+ if (seq.size()<2)
+ return;
-void expairseq::build_hashtab_and_combine(epvector::iterator &first_numeric,
- epvector::iterator &last_non_zero,
- std::vector<bool> &touched,
- unsigned &number_of_zeroes)
-{
- epp current=seq.begin();
+ bool needs_further_processing = false;
- while (current!=first_numeric) {
- if (is_ex_exactly_of_type((*current).rest,numeric)) {
- --first_numeric;
- iter_swap(current,first_numeric);
+ auto itin1 = seq.begin();
+ auto itin2 = itin1 + 1;
+ auto itout = itin1;
+ auto 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 {
- // calculate hashindex
- 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))
- break;
- ++epplit;
- }
- if (epplit==eppl.end()) {
- // no matching expair found, append this to end of list
- sorted_insert(eppl,current);
- ++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));
-
- // 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
- iter_swap(current,last_non_zero);
- --first_numeric;
- if (first_numeric!=last_non_zero) iter_swap(first_numeric,current);
- --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;
+ if (!ex_to<numeric>(itin1->coeff).is_zero()) {
+ if (must_copy)
+ *itout = *itin1;
+ ++itout;
}
+ itin1 = itin2;
}
+ ++itin2;
}
-}
-
-void expairseq::drop_coeff_0_terms(epvector::iterator &first_numeric,
- epvector::iterator &last_non_zero,
- std::vector<bool> &touched,
- unsigned &number_of_zeroes)
-{
- // move terms with coeff 0 to end and remove them from hashtab
- // check only those elements which have been touched
- epp current = seq.begin();
- unsigned i = 0;
- while (current!=first_numeric) {
- if (!touched[i]) {
- ++current;
- ++i;
- } else if (!ex_to_numeric((*current).coeff).is_zero()) {
- ++current;
- ++i;
- } else {
- remove_hashtab_entry(current);
-
- // move element to the end, unless it is already at the end
- 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);
- epvector::iterator changed_entry;
-
- if (numeric_swapped)
- changed_entry = first_numeric;
- else
- changed_entry = last_non_zero;
-
- --last_non_zero;
- ++number_of_zeroes;
-
- if (first_numeric!=current) {
-
- // change entry in hashtab which referred to first_numeric or last_non_zero to current
- move_hashtab_entry(changed_entry,current);
- touched[current-seq.begin()] = touched[changed_entry-seq.begin()];
- }
- } else {
- --first_numeric;
- --last_non_zero;
- ++number_of_zeroes;
- }
- }
+ if (!ex_to<numeric>(itin1->coeff).is_zero()) {
+ if (must_copy)
+ *itout = *itin1;
+ ++itout;
}
- GINAC_ASSERT(i==current-seq.begin());
-}
-
-/** True if one of the coeffs vanishes, otherwise false.
- * This would be an invariant violation, so this should only be used for
- * 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())
- return true;
- }
- 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
-
- epvector::iterator current = first_numeric;
- epvector::const_iterator last = last_non_zero+1;
- while (current!=last) {
- sorted_insert(hashtab[hashmask],current);
- ++current;
- }
-}
+ if (itout!=last)
+ seq.erase(itout,last);
-void expairseq::combine_same_terms(void)
-{
- // combine same terms, drop term with coeff 0, move numerics to end
-
- // calculate size of hashtab
- hashtabsize = calc_hashtabsize(seq.size());
-
- // hashtabsize is a power of 2
- hashmask = hashtabsize-1;
-
- // allocate hashtab
- hashtab.clear();
- hashtab.resize(hashtabsize);
-
- if (hashtabsize==0) {
- canonicalize();
- combine_same_terms_sorted_seq();
- GINAC_ASSERT(!has_coeff_0());
- return;
- }
-
- // iterate through seq, move numerics to end,
- // fill hashtab and combine same terms
- epvector::iterator first_numeric = seq.end();
- epvector::iterator last_non_zero = seq.end()-1;
-
- std::vector<bool> touched;
- touched.reserve(seq.size());
- for (unsigned i=0; i<seq.size(); ++i) touched[i]=false;
-
- 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);
-
- // pop zero elements
- for (unsigned i=0; i<number_of_zeroes; ++i) {
- seq.pop_back();
+ if (needs_further_processing) {
+ // Clear seq and start over.
+ epvector v = std::move(seq);
+ construct_from_epvector(std::move(v));
}
-
- // shrink hashtabsize to calculated value
- GINAC_ASSERT(!has_coeff_0());
-
- shrink_hashtab();
-
- GINAC_ASSERT(!has_coeff_0());
}
-#endif // EXPAIRSEQ_USE_HASHTAB
-
/** Check if this expairseq is in sorted (canonical) form. Useful mainly for
* debugging or in assertions since being sorted is an invariance. */
bool expairseq::is_canonical() const
if (seq.size() <= 1)
return 1;
-#if EXPAIRSEQ_USE_HASHTAB
- if (hashtabsize > 0) return 1; // not canoncalized
-#endif // EXPAIRSEQ_USE_HASHTAB
-
- epvector::const_iterator it = seq.begin();
- 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)) {
+ auto it = seq.begin(), itend = seq.end();
+ auto it_last = it;
+ for (++it; it!=itend; it_last=it, ++it) {
+ if (!(it_last->is_less(*it) || it_last->is_equal(*it))) {
+ if (!is_exactly_a<numeric>(it_last->rest) ||
+ !is_exactly_a<numeric>(it->rest)) {
// 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_exactly_a<numeric>(it_last->rest) ||
+ !is_exactly_a<numeric>(it->rest)) {
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;
}
}
return 1;
}
-
/** Member-wise expand the expairs in this sequence.
*
* @see expairseq::expand()
- * @return pointer to epvector containing expanded pairs or zero pointer,
- * if no members were changed. */
-epvector * expairseq::expandchildren(unsigned options) const
+ * @return epvector containing expanded pairs, empty if no members
+ * had to be changed. */
+epvector expairseq::expandchildren(unsigned options) const
{
- epvector::const_iterator last = seq.end();
- epvector::const_iterator cit = seq.begin();
+ auto cit = seq.begin(), last = seq.end();
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;
- s->reserve(seq.size());
+ epvector s;
+ s.reserve(seq.size());
// 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;
- }
+ s.insert(s.begin(), seq.begin(), cit);
+
// copy first changed element
- s->push_back(combine_ex_with_coeff_to_pair(expanded_ex,
- (*cit2).coeff));
- ++cit2;
+ s.push_back(expair(expanded_ex, cit->coeff));
+ ++cit;
+
// copy rest
- while (cit2!=last) {
- s->push_back(combine_ex_with_coeff_to_pair((*cit2).rest.expand(options),
- (*cit2).coeff));
- ++cit2;
+ while (cit != last) {
+ s.push_back(expair(cit->rest.expand(options), cit->coeff));
+ ++cit;
}
return s;
}
+
++cit;
}
- return 0; // signalling nothing has changed
+ return epvector(); // empty signalling nothing has changed
}
/** Member-wise evaluate the expairs in this sequence.
*
* @see expairseq::eval()
- * @return pointer to epvector containing evaluated pairs or zero pointer,
- * if no members were changed. */
-epvector * expairseq::evalchildren(int level) const
+ * @return epvector containing evaluated pairs, empty if no members
+ * had to be changed. */
+epvector expairseq::evalchildren() const
{
- // returns a NULL pointer if nothing had to be evaluated
- // returns a pointer to a newly created epvector otherwise
- // (which has to be deleted somewhere else)
-
- if (level==1)
- return 0;
-
- if (level == -max_recursion_level)
- throw(std::runtime_error("max recursion level reached"));
-
- --level;
- epvector::const_iterator last=seq.end();
- epvector::const_iterator cit=seq.begin();
+ auto cit = seq.begin(), last = seq.end();
while (cit!=last) {
- 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;
- s->reserve(seq.size());
-
+ const expair evaled_pair = combine_ex_with_coeff_to_pair(cit->rest, cit->coeff);
+ if (unlikely(!evaled_pair.is_equal(*cit))) {
+
+ // something changed: copy seq, eval and return it
+ epvector s;
+ s.reserve(seq.size());
+
// 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;
- }
+ s.insert(s.begin(), seq.begin(), cit);
+
// copy first changed element
- s->push_back(combine_ex_with_coeff_to_pair(evaled_ex,
- (*cit2).coeff));
- ++cit2;
+ s.push_back(evaled_pair);
+ ++cit;
+
// copy rest
- while (cit2!=last) {
- s->push_back(combine_ex_with_coeff_to_pair((*cit2).rest.eval(level),
- (*cit2).coeff));
- ++cit2;
+ while (cit != last) {
+ s.push_back(combine_ex_with_coeff_to_pair(cit->rest, cit->coeff));
+ ++cit;
}
return s;
}
+
++cit;
}
-
- return 0; // signalling nothing has changed
-}
+ return epvector(); // signalling nothing has changed
+}
-/** 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
-{
- 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)));
+ * @see expairseq::subs()
+ * @return epvector containing expanded pairs, empty if no members
+ * had to be changed. */
+epvector expairseq::subschildren(const exmap & m, unsigned options) const
+{
+ // When any of the objects to be substituted is a product or power
+ // we have to recombine the pairs because the numeric coefficients may
+ // be part of the search pattern.
+ if (!(options & (subs_options::pattern_is_product | subs_options::pattern_is_not_product))) {
+
+ // Search the list of substitutions and cache our findings
+ for (auto & it : m) {
+ if (is_exactly_a<mul>(it.first) || is_exactly_a<power>(it.first)) {
+ options |= subs_options::pattern_is_product;
+ break;
+ }
+ }
+ if (!(options & subs_options::pattern_is_product))
+ options |= subs_options::pattern_is_not_product;
}
- return s;
-}
+ if (options & subs_options::pattern_is_product) {
-/** 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;
-}
+ // Substitute in the recombined pairs
+ auto cit = seq.begin(), last = seq.end();
+ while (cit != last) {
+ const ex &orig_ex = recombine_pair_to_ex(*cit);
+ const ex &subsed_ex = orig_ex.subs(m, options);
+ if (!are_ex_trivially_equal(orig_ex, subsed_ex)) {
-/** 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;
-}
+ // Something changed: copy seq, subs and return it
+ epvector s;
+ s.reserve(seq.size());
+ // Copy parts of seq which are known not to have changed
+ s.insert(s.begin(), seq.begin(), cit);
-/** 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 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(m, options)));
+ ++cit;
+ }
+ return s;
+ }
+
+ ++cit;
+ }
+
+ } else {
+
+ // Substitute only in the "rest" part of the pairs
+ auto cit = seq.begin(), last = seq.end();
+ while (cit != last) {
+
+ const ex subsed_rest = cit->rest.subs(m, options);
+ const expair subsed_pair = combine_ex_with_coeff_to_pair(subsed_rest, cit->coeff);
+ if (!subsed_pair.is_equal(*cit)) {
- // 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;
+ 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(subsed_pair);
+ ++cit;
+
+ // Copy rest
+ while (cit != last) {
+ s.push_back(combine_ex_with_coeff_to_pair(cit->rest.subs(m, options), cit->coeff));
+ ++cit;
+ }
+ return s;
}
- return s;
+
+ ++cit;
}
- ++cit;
}
- return 0; // signalling nothing has changed
+ // Nothing has changed
+ return epvector();
}
//////////
// static member variables
//////////
-#if EXPAIRSEQ_USE_HASHTAB
-unsigned expairseq::maxhashtabsize = 0x4000000U;
-unsigned expairseq::minhashtabsize = 0x1000U;
-unsigned expairseq::hashtabfactor = 1;
-#endif // EXPAIRSEQ_USE_HASHTAB
-
} // namespace GiNaC
git://www.ginac.de / ginac.git / blobdiff