X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=ginac%2Fexpairseq.cpp;h=18aba0dbdcb8900587ce5cc746efebf5b064db80;hp=5652d89c30b4b3772e10af0089fca66e77a6ce8c;hb=c532971f9e99886781437912ae1655719284ac2f;hpb=80ceed0c855ea06ff5acd9375ad2e0c5ca386373 diff --git a/ginac/expairseq.cpp b/ginac/expairseq.cpp index 5652d89c..18aba0db 100644 --- a/ginac/expairseq.cpp +++ b/ginac/expairseq.cpp @@ -3,7 +3,7 @@ * Implementation of sequences of expression pairs. */ /* - * GiNaC Copyright (C) 1999-2006 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 @@ -20,11 +20,6 @@ * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA */ -#include -#include -#include -#include - #include "expairseq.h" #include "lst.h" #include "add.h" @@ -35,11 +30,14 @@ #include "archive.h" #include "operators.h" #include "utils.h" +#include "hash_seed.h" #include "indexed.h" -#if EXPAIRSEQ_USE_HASHTAB -#include -#endif // EXPAIRSEQ_USE_HASHTAB +#include +#include +#include +#include +#include namespace GiNaC { @@ -68,71 +66,41 @@ public: // public -expairseq::expairseq() : inherited(&expairseq::tinfo_static) -#if EXPAIRSEQ_USE_HASHTAB - , hashtabsize(0) -#endif // EXPAIRSEQ_USE_HASHTAB +expairseq::expairseq() {} // protected -#if 0 -/** For use by copy ctor and assignment operator. */ -void expairseq::copy(const expairseq &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(oc)); - construct_from_epvector(v); + construct_from_epvector(v, do_index_renaming); GINAC_ASSERT(is_canonical()); } -expairseq::expairseq(std::auto_ptr vp, const ex &oc) - : inherited(&expairseq::tinfo_static), overall_coeff(oc) +expairseq::expairseq(std::auto_ptr vp, const ex &oc, bool do_index_renaming) + : overall_coeff(oc) { GINAC_ASSERT(vp.get()!=0); GINAC_ASSERT(is_a(oc)); - construct_from_epvector(*vp); + construct_from_epvector(*vp, do_index_renaming); GINAC_ASSERT(is_canonical()); } @@ -140,18 +108,20 @@ expairseq::expairseq(std::auto_ptr vp, const ex &oc) // archiving ////////// -expairseq::expairseq(const archive_node &n, lst &sym_lst) : inherited(n, sym_lst) -#if EXPAIRSEQ_USE_HASHTAB - , hashtabsize(0) -#endif +void expairseq::read_archive(const archive_node &n, lst &sym_lst) { - for (unsigned int i=0; true; i++) { + inherited::read_archive(n, sym_lst); + archive_node::archive_node_cit first = n.find_first("rest"); + archive_node::archive_node_cit last = n.find_last("coeff"); + ++last; + seq.reserve((last-first)/2); + + for (archive_node::archive_node_cit loc = first; loc < last;) { ex rest; ex coeff; - if (n.find_ex("rest", rest, sym_lst, i) && n.find_ex("coeff", coeff, sym_lst, i)) - seq.push_back(expair(rest, coeff)); - else - break; + n.find_ex_by_loc(loc++, rest, sym_lst); + n.find_ex_by_loc(loc++, coeff, sym_lst); + seq.push_back(expair(rest, coeff)); } n.find_ex("overall_coeff", overall_coeff, sym_lst); @@ -172,7 +142,6 @@ void expairseq::archive(archive_node &n) const n.add_ex("overall_coeff", overall_coeff); } -DEFAULT_UNARCHIVE(expairseq) ////////// // functions overriding virtual functions from base classes @@ -206,63 +175,30 @@ void expairseq::do_print_tree(const print_tree & c, unsigned level) const overall_coeff.print(c, level + c.delta_indent); } c.s << std::string(level + c.delta_indent,' ') << "=====" << std::endl; -#if EXPAIRSEQ_USE_HASHTAB - c.s << std::string(level + c.delta_indent,' ') - << "hashtab size " << hashtabsize << std::endl; - if (hashtabsize == 0) return; -#define MAXCOUNT 5 - unsigned count[MAXCOUNT+1]; - for (int i=0; i 0) { - c.s << std::string(level + c.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; - } - c.s << std::endl; - cum_fill += this_bin_fill; - cum_fill_sq += this_bin_fill*this_bin_fill; - } - if (this_bin_fill0) - fact *= k; - double prob = std::pow(lambda,k)/fact * std::exp(-lambda); - cum_prob += prob; - c.s << std::string(level + c.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 + c.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 + c.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 + c.delta_indent, ' ') << "average fill: " - << (1.0*cum_fill)/hashtabsize - << " (should be equal to " << (1.0*seq.size())/hashtabsize << ")" << std::endl; -#endif // EXPAIRSEQ_USE_HASHTAB } bool expairseq::info(unsigned inf) const { + switch(inf) { + case info_flags::expanded: + return (flags & status_flags::expanded); + case info_flags::has_indices: { + if (flags & status_flags::has_indices) + return true; + else if (flags & status_flags::has_no_indices) + return false; + for (epvector::const_iterator i = seq.begin(); i != seq.end(); ++i) { + if (i->rest.info(info_flags::has_indices)) { + this->setflag(status_flags::has_indices); + this->clearflag(status_flags::has_no_indices); + return true; + } + } + this->clearflag(status_flags::has_indices); + this->setflag(status_flags::has_no_indices); + return false; + } + } return inherited::info(inf); } @@ -285,7 +221,7 @@ ex expairseq::op(size_t i) const ex expairseq::map(map_function &f) const { std::auto_ptr v(new epvector); - v->reserve(seq.size()); + v->reserve(seq.size()+1); epvector::const_iterator cit = seq.begin(), last = seq.end(); while (cit != last) { @@ -294,9 +230,16 @@ ex expairseq::map(map_function &f) const } if (overall_coeff.is_equal(default_overall_coeff())) - return thisexpairseq(v, default_overall_coeff()); - else - return thisexpairseq(v, f(overall_coeff)); + return thisexpairseq(v, default_overall_coeff(), true); + else { + ex newcoeff = f(overall_coeff); + if(is_a(newcoeff)) + return thisexpairseq(v, newcoeff, true); + else { + v->push_back(split_ex_to_pair(newcoeff)); + return thisexpairseq(v, default_overall_coeff(), true); + } + } } /** Perform coefficient-wise automatic term rewriting rules in this class. */ @@ -342,29 +285,16 @@ ex expairseq::conjugate() const return *this; } ex result = thisexpairseq(newepv ? *newepv : seq, x); - if (newepv) { - delete newepv; - } + delete newepv; return result; } -bool expairseq::is_polynomial(const ex & var) const -{ - if (!is_exactly_a(*this) && !is_exactly_a(*this)) - return basic::is_polynomial(var); - for (epvector::const_iterator i=seq.begin(); i!=seq.end(); ++i) { - if (!(i->rest).is_polynomial(var)) - return false; - } - return true; -} - -bool expairseq::match(const ex & pattern, lst & repl_lst) const +bool expairseq::match(const ex & pattern, exmap & repl_lst) const { // This differs from basic::match() because we want "a+b+c+d" to // match "d+*+b" with "*" being "a+c", and we want to honor commutativity - if (this->tinfo() == ex_to(pattern).tinfo()) { + if (typeid(*this) == typeid(ex_to(pattern))) { // Check whether global wildcard (one that matches the "rest of the // expression", like "*" above) is present @@ -378,6 +308,12 @@ bool expairseq::match(const ex & pattern, lst & repl_lst) const } } + // 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... @@ -395,7 +331,7 @@ bool expairseq::match(const ex & pattern, lst & repl_lst) const continue; exvector::iterator it = ops.begin(), itend = ops.end(); while (it != itend) { - if (it->match(p, repl_lst)) { + if (it->match(p, tmp_repl)) { ops.erase(it); goto found; } @@ -416,18 +352,28 @@ found: ; for (size_t i=0; ipush_back(split_ex_to_pair(ops[i])); ex rest = thisexpairseq(vp, default_overall_coeff()); - for (lst::const_iterator it = repl_lst.begin(); it != repl_lst.end(); ++it) { - if (it->op(0).is_equal(global_wildcard)) - return rest.is_equal(it->op(1)); + for (exmap::const_iterator it = tmp_repl.begin(); it != tmp_repl.end(); ++it) { + if (it->first.is_equal(global_wildcard)) { + if (rest.is_equal(it->second)) { + repl_lst = tmp_repl; + return true; + } + return false; + } } - repl_lst.append(global_wildcard == rest); + repl_lst = tmp_repl; + repl_lst[global_wildcard] = rest; return true; } else { // No global wildcard, then the match fails if there are any // unmatched terms left - return ops.empty(); + if (ops.empty()) { + repl_lst = tmp_repl; + return true; + } + return false; } } return inherited::match(pattern, repl_lst); @@ -437,7 +383,7 @@ ex expairseq::subs(const exmap & m, unsigned options) const { std::auto_ptr vp = subschildren(m, options); if (vp.get()) - return ex_to(thisexpairseq(vp, overall_coeff)); + return ex_to(thisexpairseq(vp, overall_coeff, (options & subs_options::no_index_renaming) == 0)); else if ((options & subs_options::algebraic) && is_exactly_a(*this)) return static_cast(this)->algebraic_subs_mul(m, options); else @@ -462,54 +408,20 @@ int expairseq::compare_same_type(const basic &other) const 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(); + 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; - } + 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; i0) { - 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 @@ -524,56 +436,17 @@ bool expairseq::is_equal_same_type(const basic &other) const 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)); - } + epvector::const_iterator cit1 = seq.begin(); + epvector::const_iterator cit2 = o.seq.begin(); + epvector::const_iterator last1 = seq.end(); - 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; i0) { - 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() const @@ -583,16 +456,14 @@ unsigned expairseq::return_type() const unsigned expairseq::calchash() const { - unsigned v = golden_ratio_hash((p_int)this->tinfo()); + unsigned v = make_hash_seed(typeid(*this)); epvector::const_iterator i = seq.begin(); const epvector::const_iterator end = seq.end(); while (i != end) { v ^= i->rest.gethash(); -#if !EXPAIRSEQ_USE_HASHTAB // rotation spoils commutativity! v = rotate_left(v); v ^= i->coeff.gethash(); -#endif // !EXPAIRSEQ_USE_HASHTAB ++i; } @@ -629,17 +500,17 @@ ex expairseq::expand(unsigned options) const * has (at least) two possible different semantics but we want to inherit * methods thus avoiding code duplication. Sometimes a method in expairseq * has to create a new one of the same semantics, which cannot be done by a - * ctor because the name (add, mul,...) is unknown on the expaiseq level. In + * ctor because the name (add, mul,...) is unknown on the expairseq level. In * order for this trick to work a derived class must of course override this * definition. */ -ex expairseq::thisexpairseq(const epvector &v, const ex &oc) const +ex expairseq::thisexpairseq(const epvector &v, const ex &oc, bool do_index_renaming) const { - return expairseq(v, oc); + return expairseq(v, oc, do_index_renaming); } -ex expairseq::thisexpairseq(std::auto_ptr vp, const ex &oc) const +ex expairseq::thisexpairseq(std::auto_ptr vp, const ex &oc, bool do_index_renaming) const { - return expairseq(vp, oc); + return expairseq(vp, oc, do_index_renaming); } void expairseq::printpair(const print_context & c, const expair & p, unsigned upper_precedence) const @@ -709,9 +580,6 @@ ex expairseq::recombine_pair_to_ex(const expair &p) const 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; } @@ -753,70 +621,30 @@ void expairseq::construct_from_2_ex_via_exvector(const ex &lh, const ex &rh) 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 (ex_to(lh).tinfo()==this->tinfo()) { - if (ex_to(rh).tinfo()==this->tinfo()) { -#if EXPAIRSEQ_USE_HASHTAB - unsigned totalsize = ex_to(lh).seq.size() + - ex_to(rh).seq.size(); - if (calc_hashtabsize(totalsize)!=0) { - construct_from_2_ex_via_exvector(lh,rh); - } else { -#endif // EXPAIRSEQ_USE_HASHTAB - if(is_a(lh)) - { - ex newrh=rename_dummy_indices_uniquely(lh, rh); - construct_from_2_expairseq(ex_to(lh), - ex_to(newrh)); - } - else - construct_from_2_expairseq(ex_to(lh), - ex_to(rh)); -#if EXPAIRSEQ_USE_HASHTAB + if (typeid(ex_to(lh)) == typeid(*this)) { + if (typeid(ex_to(rh)) == typeid(*this)) { + if (is_a(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(lh), + ex_to(newrh)); } -#endif // EXPAIRSEQ_USE_HASHTAB + else + construct_from_2_expairseq(ex_to(lh), + ex_to(rh)); return; } else { -#if EXPAIRSEQ_USE_HASHTAB - unsigned totalsize = ex_to(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(lh), rh); -#if EXPAIRSEQ_USE_HASHTAB - } -#endif // EXPAIRSEQ_USE_HASHTAB + construct_from_expairseq_ex(ex_to(lh), rh); return; } - } else if (ex_to(rh).tinfo()==this->tinfo()) { -#if EXPAIRSEQ_USE_HASHTAB - unsigned totalsize=ex_to(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(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(rh)) == typeid(*this)) { + construct_from_expairseq_ex(ex_to(rh),lh); return; } - hashtabsize = 0; -#endif // EXPAIRSEQ_USE_HASHTAB if (is_exactly_a(lh)) { if (is_exactly_a(rh)) { @@ -857,7 +685,7 @@ void expairseq::construct_from_2_ex(const ex &lh, const ex &rh) } 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); @@ -912,7 +740,7 @@ void expairseq::construct_from_2_expairseq(const expairseq &s1, } void expairseq::construct_from_expairseq_ex(const expairseq &s, - const ex &e) + const ex &e) { combine_overall_coeff(s.overall_coeff); if (is_exactly_a(e)) { @@ -977,32 +805,24 @@ void expairseq::construct_from_exvector(const exvector &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 } -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(); -#endif // EXPAIRSEQ_USE_HASHTAB } /** Combine this expairseq with argument exvector. @@ -1015,13 +835,17 @@ void expairseq::make_flat(const exvector &v) // and their cumulative number of operands int nexpairseqs = 0; int noperands = 0; + bool do_idx_rename = false; cit = v.begin(); while (cit!=v.end()) { - if (ex_to(*cit).tinfo()==this->tinfo()) { + if (typeid(ex_to(*cit)) == typeid(*this)) { ++nexpairseqs; noperands += ex_to(*cit).seq.size(); } + if (is_a(*this) && (!do_idx_rename) && + cit->info(info_flags::has_indices)) + do_idx_rename = true; ++cit; } @@ -1029,35 +853,25 @@ void expairseq::make_flat(const exvector &v) seq.reserve(v.size()+noperands-nexpairseqs); // copy elements and split off numerical part - exvector dummy_indices; + make_flat_inserter mf(v, do_idx_rename); cit = v.begin(); while (cit!=v.end()) { - if (ex_to(*cit).tinfo()==this->tinfo()) { - const expairseq *subseqref; - ex newfactor; - if(is_a(*cit)) - { - exvector dummies_of_factor = get_all_dummy_indices(*cit); - sort(dummies_of_factor.begin(), dummies_of_factor.end(), ex_is_less()); - newfactor = rename_dummy_indices_uniquely(dummy_indices, dummies_of_factor, *cit); - subseqref = &(ex_to(newfactor)); - exvector new_dummy_indices; - set_union(dummy_indices.begin(), dummy_indices.end(), dummies_of_factor.begin(), dummies_of_factor.end(), std::back_insert_iterator(new_dummy_indices), ex_is_less()); - dummy_indices.swap(new_dummy_indices); - } - else - subseqref = &ex_to(*cit); - combine_overall_coeff(subseqref->overall_coeff); - epvector::const_iterator cit_s = subseqref->seq.begin(); - while (cit_s!=subseqref->seq.end()) { + if (typeid(ex_to(*cit)) == typeid(*this)) { + ex newfactor = mf.handle_factor(*cit, _ex1); + const expairseq &subseqref = ex_to(newfactor); + combine_overall_coeff(subseqref.overall_coeff); + epvector::const_iterator cit_s = subseqref.seq.begin(); + while (cit_s!=subseqref.seq.end()) { seq.push_back(*cit_s); ++cit_s; } } else { if (is_exactly_a(*cit)) combine_overall_coeff(*cit); - else - seq.push_back(split_ex_to_pair(*cit)); + else { + ex newfactor = mf.handle_factor(*cit, _ex1); + seq.push_back(split_ex_to_pair(newfactor)); + } } ++cit; } @@ -1065,7 +879,7 @@ void expairseq::make_flat(const exvector &v) /** 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; @@ -1073,25 +887,32 @@ void expairseq::make_flat(const epvector &v) // and their cumulative number of operands int nexpairseqs = 0; int noperands = 0; + bool really_need_rename_inds = false; cit = v.begin(); while (cit!=v.end()) { - if (ex_to(cit->rest).tinfo()==this->tinfo()) { + if (typeid(ex_to(cit->rest)) == typeid(*this)) { ++nexpairseqs; noperands += ex_to(cit->rest).seq.size(); } + if ((!really_need_rename_inds) && is_a(*this) && + cit->rest.info(info_flags::has_indices)) + really_need_rename_inds = true; ++cit; } + do_index_renaming = do_index_renaming && really_need_rename_inds; // reserve seq and coeffseq which will hold all operands seq.reserve(v.size()+noperands-nexpairseqs); + make_flat_inserter mf(v, do_index_renaming); // copy elements and split off numerical part cit = v.begin(); while (cit!=v.end()) { - if (ex_to(cit->rest).tinfo()==this->tinfo() && + if ((typeid(ex_to(cit->rest)) == typeid(*this)) && this->can_make_flat(*cit)) { - const expairseq &subseqref = ex_to(cit->rest); + ex newrest = mf.handle_factor(cit->rest, cit->coeff); + const expairseq &subseqref = ex_to(newrest); combine_overall_coeff(ex_to(subseqref.overall_coeff), ex_to(cit->coeff)); epvector::const_iterator cit_s = subseqref.seq.begin(); @@ -1104,9 +925,15 @@ void expairseq::make_flat(const epvector &v) } } else { if (cit->is_canonical_numeric()) - combine_overall_coeff(cit->rest); - else - seq.push_back(*cit); + combine_overall_coeff(mf.handle_factor(cit->rest, _ex1)); + else { + ex rest = cit->rest; + ex newrest = mf.handle_factor(rest, cit->coeff); + if (are_ex_trivially_equal(newrest, rest)) + seq.push_back(*cit); + else + seq.push_back(expair(newrest, cit->coeff)); + } } ++cit; } @@ -1168,315 +995,6 @@ void expairseq::combine_same_terms_sorted_seq() } } -#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(e)) { - hashindex = hashmask; - } else { - hashindex = e.gethash() & hashmask; - // last hashtab entry is reserved for numerics - if (hashindex==hashmask) hashindex = 0; - } - GINAC_ASSERT((hashindexrest); - 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, epvector::const_iterator 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, - std::vector &touched, - unsigned &number_of_zeroes) -{ - epp current = seq.begin(); - - while (current!=first_numeric) { - if (is_exactly_a(current->rest)) { - --first_numeric; - iter_swap(current,first_numeric); - } 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((*epplit)->coeff). - add_dyn(ex_to(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; - } - } - } -} - -void expairseq::drop_coeff_0_terms(epvector::iterator &first_numeric, - epvector::iterator &last_non_zero, - std::vector &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(); - size_t i = 0; - while (current!=first_numeric) { - if (!touched[i]) { - ++current; - ++i; - } else if (!ex_to((*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; - } - } - } - 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() const -{ - 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 - - epvector::const_iterator current = first_numeric, last = last_non_zero + 1; - while (current != last) { - sorted_insert(hashtab[hashmask], current); - ++current; - } -} - -void expairseq::combine_same_terms() -{ - // 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; - - size_t num = seq.size(); - std::vector 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); - - // 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); - } - - add_numerics_to_hashtab(first_numeric,last_non_zero); - - // pop zero elements - for (unsigned i=0; i 0) return 1; // not canoncalized -#endif // EXPAIRSEQ_USE_HASHTAB - epvector::const_iterator it = seq.begin(), itend = seq.end(); epvector::const_iterator it_last = it; for (++it; it!=itend; it_last=it, ++it) { @@ -1614,68 +1128,6 @@ std::auto_ptr expairseq::evalchildren(int level) const return std::auto_ptr(0); // signalling nothing has changed } -class safe_inserter -{ - public: - safe_inserter(const ex&, const bool disable_renaming=false); - std::auto_ptr getseq(){return epv;} - void insert_old_pair(const expair &p) - { - epv->push_back(p); - } - void insert_new_pair(const expair &p, const ex &orig_ex); - private: - std::auto_ptr epv; - bool dodummies; - exvector dummy_indices; - void update_dummy_indices(const exvector&); -}; - -safe_inserter::safe_inserter(const ex&e, const bool disable_renaming) - :epv(new epvector) -{ - epv->reserve(e.nops()); - dodummies=is_a(e); - if(disable_renaming) - dodummies=false; - if(dodummies) { - dummy_indices = get_all_dummy_indices_safely(e); - sort(dummy_indices.begin(), dummy_indices.end(), ex_is_less()); - } -} - -void safe_inserter::update_dummy_indices(const exvector &v) -{ - exvector new_dummy_indices; - set_union(dummy_indices.begin(), dummy_indices.end(), v.begin(), v.end(), - std::back_insert_iterator(new_dummy_indices), ex_is_less()); - dummy_indices.swap(new_dummy_indices); -} - -void safe_inserter::insert_new_pair(const expair &p, const ex &orig_ex) -{ - if(!dodummies) { - epv->push_back(p); - return; - } - exvector dummies_of_factor = get_all_dummy_indices_safely(p.rest); - if(dummies_of_factor.size() == 0) { - epv->push_back(p); - return; - } - sort(dummies_of_factor.begin(), dummies_of_factor.end(), ex_is_less()); - exvector dummies_of_orig_ex = get_all_dummy_indices_safely(orig_ex); - sort(dummies_of_orig_ex.begin(), dummies_of_orig_ex.end(), ex_is_less()); - exvector new_dummy_indices; - new_dummy_indices.reserve(dummy_indices.size()); - set_difference(dummy_indices.begin(), dummy_indices.end(), dummies_of_orig_ex.begin(), dummies_of_orig_ex.end(), - std::back_insert_iterator(new_dummy_indices), ex_is_less()); - dummy_indices.swap(new_dummy_indices); - ex newfactor = rename_dummy_indices_uniquely(dummy_indices, dummies_of_factor, p.rest); - update_dummy_indices(dummies_of_factor); - epv -> push_back(expair(newfactor, p.coeff)); -} - /** Member-wise substitute in this sequence. * * @see expairseq::subs() @@ -1710,27 +1162,22 @@ std::auto_ptr expairseq::subschildren(const exmap & m, unsigned option if (!are_ex_trivially_equal(orig_ex, subsed_ex)) { // Something changed, copy seq, subs and return it - safe_inserter s(*this, options & subs_options::no_index_renaming); + std::auto_ptr s(new epvector); + s->reserve(seq.size()); // Copy parts of seq which are known not to have changed - for(epvector::const_iterator i=seq.begin(); i!=cit; ++i) - s.insert_old_pair(*i); + s->insert(s->begin(), seq.begin(), cit); // Copy first changed element - s.insert_new_pair(split_ex_to_pair(subsed_ex), orig_ex); + s->push_back(split_ex_to_pair(subsed_ex)); ++cit; // Copy rest while (cit != last) { - ex orig_ex = recombine_pair_to_ex(*cit); - ex subsed_ex = orig_ex.subs(m, options); - if(are_ex_trivially_equal(orig_ex, subsed_ex)) - s.insert_old_pair(*cit); - else - s.insert_new_pair(split_ex_to_pair(subsed_ex), orig_ex); + s->push_back(split_ex_to_pair(recombine_pair_to_ex(*cit).subs(m, options))); ++cit; } - return s.getseq(); + return s; } ++cit; @@ -1746,27 +1193,22 @@ std::auto_ptr expairseq::subschildren(const exmap & m, unsigned option if (!are_ex_trivially_equal(cit->rest, subsed_ex)) { // Something changed, copy seq, subs and return it - safe_inserter s(*this, options & subs_options::no_index_renaming); + std::auto_ptr s(new epvector); + s->reserve(seq.size()); // Copy parts of seq which are known not to have changed - for(epvector::const_iterator i=seq.begin(); i!=cit; ++i) - s.insert_old_pair(*i); + s->insert(s->begin(), seq.begin(), cit); // Copy first changed element - s.insert_new_pair(combine_ex_with_coeff_to_pair(subsed_ex, cit->coeff), cit->rest); + s->push_back(combine_ex_with_coeff_to_pair(subsed_ex, cit->coeff)); ++cit; // Copy rest while (cit != last) { - const ex &orig_ex = cit->rest; - const ex &subsed_ex = cit->rest.subs(m, options); - if(are_ex_trivially_equal(orig_ex, subsed_ex)) - s.insert_old_pair(*cit); - else - s.insert_new_pair(combine_ex_with_coeff_to_pair(subsed_ex, cit->coeff), orig_ex); + s->push_back(combine_ex_with_coeff_to_pair(cit->rest.subs(m, options), cit->coeff)); ++cit; } - return s.getseq(); + return s; } ++cit; @@ -1781,10 +1223,4 @@ std::auto_ptr expairseq::subschildren(const exmap & m, unsigned option // 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