#include "debugmsg.h"
#include "utils.h"
-#ifndef NO_GINAC_NAMESPACE
+#ifndef NO_NAMESPACE_GINAC
namespace GiNaC {
-#endif // ndef NO_GINAC_NAMESPACE
+#endif // ndef NO_NAMESPACE_GINAC
GINAC_IMPLEMENT_REGISTERED_CLASS(ncmul, exprseq)
ncmul::ncmul()
{
- debugmsg("ncmul default constructor",LOGLEVEL_CONSTRUCT);
- tinfo_key = TINFO_ncmul;
+ debugmsg("ncmul default constructor",LOGLEVEL_CONSTRUCT);
+ tinfo_key = TINFO_ncmul;
}
ncmul::~ncmul()
{
- debugmsg("ncmul destructor",LOGLEVEL_DESTRUCT);
- destroy(0);
+ debugmsg("ncmul destructor",LOGLEVEL_DESTRUCT);
+ destroy(false);
}
-ncmul::ncmul(ncmul const & other)
+ncmul::ncmul(const ncmul & other)
{
- debugmsg("ncmul copy constructor",LOGLEVEL_CONSTRUCT);
- copy(other);
+ debugmsg("ncmul copy constructor",LOGLEVEL_CONSTRUCT);
+ copy(other);
}
-ncmul const & ncmul::operator=(ncmul const & other)
+const ncmul & ncmul::operator=(const ncmul & other)
{
- debugmsg("ncmul operator=",LOGLEVEL_ASSIGNMENT);
- if (this != &other) {
- destroy(1);
- copy(other);
- }
- return *this;
+ debugmsg("ncmul operator=",LOGLEVEL_ASSIGNMENT);
+ if (this != &other) {
+ destroy(true);
+ copy(other);
+ }
+ return *this;
}
// protected
-void ncmul::copy(ncmul const & other)
+void ncmul::copy(const ncmul & other)
{
- inherited::copy(other);
+ inherited::copy(other);
}
void ncmul::destroy(bool call_parent)
{
- if (call_parent) inherited::destroy(call_parent);
+ if (call_parent) inherited::destroy(call_parent);
}
//////////
// public
-ncmul::ncmul(ex const & lh, ex const & rh) :
- inherited(lh,rh)
+ncmul::ncmul(const ex & lh, const ex & rh) : inherited(lh,rh)
{
- debugmsg("ncmul constructor from ex,ex",LOGLEVEL_CONSTRUCT);
- tinfo_key = TINFO_ncmul;
+ debugmsg("ncmul constructor from ex,ex",LOGLEVEL_CONSTRUCT);
+ tinfo_key = TINFO_ncmul;
}
-ncmul::ncmul(ex const & f1, ex const & f2, ex const & f3) :
- inherited(f1,f2,f3)
+ncmul::ncmul(const ex & f1, const ex & f2, const ex & f3) : inherited(f1,f2,f3)
{
- debugmsg("ncmul constructor from 3 ex",LOGLEVEL_CONSTRUCT);
- tinfo_key = TINFO_ncmul;
+ debugmsg("ncmul constructor from 3 ex",LOGLEVEL_CONSTRUCT);
+ tinfo_key = TINFO_ncmul;
}
-ncmul::ncmul(ex const & f1, ex const & f2, ex const & f3,
- ex const & f4) : inherited(f1,f2,f3,f4)
+ncmul::ncmul(const ex & f1, const ex & f2, const ex & f3,
+ const ex & f4) : inherited(f1,f2,f3,f4)
{
- debugmsg("ncmul constructor from 4 ex",LOGLEVEL_CONSTRUCT);
- tinfo_key = TINFO_ncmul;
+ debugmsg("ncmul constructor from 4 ex",LOGLEVEL_CONSTRUCT);
+ tinfo_key = TINFO_ncmul;
}
-ncmul::ncmul(ex const & f1, ex const & f2, ex const & f3,
- ex const & f4, ex const & f5) : inherited(f1,f2,f3,f4,f5)
+ncmul::ncmul(const ex & f1, const ex & f2, const ex & f3,
+ const ex & f4, const ex & f5) : inherited(f1,f2,f3,f4,f5)
{
- debugmsg("ncmul constructor from 5 ex",LOGLEVEL_CONSTRUCT);
- tinfo_key = TINFO_ncmul;
+ debugmsg("ncmul constructor from 5 ex",LOGLEVEL_CONSTRUCT);
+ tinfo_key = TINFO_ncmul;
}
-ncmul::ncmul(ex const & f1, ex const & f2, ex const & f3,
- ex const & f4, ex const & f5, ex const & f6) :
- inherited(f1,f2,f3,f4,f5,f6)
+ncmul::ncmul(const ex & f1, const ex & f2, const ex & f3,
+ const ex & f4, const ex & f5, const ex & f6) : inherited(f1,f2,f3,f4,f5,f6)
{
- debugmsg("ncmul constructor from 6 ex",LOGLEVEL_CONSTRUCT);
- tinfo_key = TINFO_ncmul;
+ debugmsg("ncmul constructor from 6 ex",LOGLEVEL_CONSTRUCT);
+ tinfo_key = TINFO_ncmul;
}
-ncmul::ncmul(exvector const & v, bool discardable) : inherited(v,discardable)
+ncmul::ncmul(const exvector & v, bool discardable) : inherited(v,discardable)
{
- debugmsg("ncmul constructor from exvector,bool",LOGLEVEL_CONSTRUCT);
- tinfo_key = TINFO_ncmul;
+ debugmsg("ncmul constructor from exvector,bool",LOGLEVEL_CONSTRUCT);
+ tinfo_key = TINFO_ncmul;
}
ncmul::ncmul(exvector * vp) : inherited(vp)
{
- debugmsg("ncmul constructor from exvector *",LOGLEVEL_CONSTRUCT);
- tinfo_key = TINFO_ncmul;
+ debugmsg("ncmul constructor from exvector *",LOGLEVEL_CONSTRUCT);
+ tinfo_key = TINFO_ncmul;
}
//////////
/** Construct object from archive_node. */
ncmul::ncmul(const archive_node &n, const lst &sym_lst) : inherited(n, sym_lst)
{
- debugmsg("ncmul constructor from archive_node", LOGLEVEL_CONSTRUCT);
+ debugmsg("ncmul constructor from archive_node", LOGLEVEL_CONSTRUCT);
}
/** Unarchive the object. */
ex ncmul::unarchive(const archive_node &n, const lst &sym_lst)
{
- return (new ncmul(n, sym_lst))->setflag(status_flags::dynallocated);
+ return (new ncmul(n, sym_lst))->setflag(status_flags::dynallocated);
}
/** Archive the object. */
void ncmul::archive(archive_node &n) const
{
- inherited::archive(n);
+ inherited::archive(n);
}
-
+
//////////
// functions overriding virtual functions from bases classes
//////////
basic * ncmul::duplicate() const
{
- debugmsg("ncmul duplicate",LOGLEVEL_ASSIGNMENT);
- return new ncmul(*this);
+ debugmsg("ncmul duplicate",LOGLEVEL_ASSIGNMENT);
+ return new ncmul(*this);
}
-void ncmul::print(ostream & os, unsigned upper_precedence) const
+void ncmul::print(std::ostream & os, unsigned upper_precedence) const
{
- debugmsg("ncmul print",LOGLEVEL_PRINT);
- printseq(os,'(','%',')',precedence,upper_precedence);
+ debugmsg("ncmul print",LOGLEVEL_PRINT);
+ printseq(os,'(','%',')',precedence,upper_precedence);
}
-void ncmul::printraw(ostream & os) const
+void ncmul::printraw(std::ostream & os) const
{
- debugmsg("ncmul printraw",LOGLEVEL_PRINT);
-
- os << "%(";
- for (exvector::const_iterator it=seq.begin(); it!=seq.end(); ++it) {
- (*it).bp->printraw(os);
- os << ",";
- }
- os << ",hash=" << hashvalue << ",flags=" << flags;
- os << ")";
+ debugmsg("ncmul printraw",LOGLEVEL_PRINT);
+ os << "%(";
+ for (exvector::const_iterator it=seq.begin(); it!=seq.end(); ++it) {
+ (*it).bp->printraw(os);
+ os << ",";
+ }
+ os << ",hash=" << hashvalue << ",flags=" << flags;
+ os << ")";
}
-void ncmul::printcsrc(ostream & os, unsigned upper_precedence) const
+void ncmul::printcsrc(std::ostream & os, unsigned type, unsigned upper_precedence) const
{
- debugmsg("ncmul print csrc",LOGLEVEL_PRINT);
- exvector::const_iterator it;
- exvector::const_iterator itend = seq.end()-1;
- os << "ncmul(";
- for (it=seq.begin(); it!=itend; ++it) {
- (*it).bp->printcsrc(os,precedence);
- os << ",";
- }
- (*it).bp->printcsrc(os,precedence);
- os << ")";
+ debugmsg("ncmul print csrc",LOGLEVEL_PRINT);
+ exvector::const_iterator it;
+ exvector::const_iterator itend = seq.end()-1;
+ os << "ncmul(";
+ for (it=seq.begin(); it!=itend; ++it) {
+ (*it).bp->printcsrc(os,precedence);
+ os << ",";
+ }
+ (*it).bp->printcsrc(os,precedence);
+ os << ")";
}
bool ncmul::info(unsigned inf) const
{
- throw(std::logic_error("which flags have to be implemented in ncmul::info()?"));
+ throw(std::logic_error("which flags have to be implemented in ncmul::info()?"));
}
-typedef vector<int> intvector;
+typedef std::vector<int> intvector;
ex ncmul::expand(unsigned options) const
{
- exvector sub_expanded_seq;
- intvector positions_of_adds;
- intvector number_of_add_operands;
-
- exvector expanded_seq=expandchildren(options);
-
- positions_of_adds.resize(expanded_seq.size());
- number_of_add_operands.resize(expanded_seq.size());
-
- int number_of_adds=0;
- int number_of_expanded_terms=1;
-
- unsigned current_position=0;
- exvector::const_iterator last=expanded_seq.end();
- for (exvector::const_iterator cit=expanded_seq.begin(); cit!=last; ++cit) {
- if (is_ex_exactly_of_type((*cit),add)) {
- positions_of_adds[number_of_adds]=current_position;
- add const & expanded_addref=ex_to_add(*cit);
- number_of_add_operands[number_of_adds]=expanded_addref.seq.size();
- number_of_expanded_terms *= expanded_addref.seq.size();
- number_of_adds++;
- }
- current_position++;
- }
-
- if (number_of_adds==0) {
- return (new ncmul(expanded_seq,1))->setflag(status_flags::dynallocated ||
- status_flags::expanded);
- }
-
- exvector distrseq;
- distrseq.reserve(number_of_expanded_terms);
-
- intvector k;
- k.resize(number_of_adds);
-
- int l;
- for (l=0; l<number_of_adds; l++) {
- k[l]=0;
- }
-
- while (1) {
- exvector term;
- term=expanded_seq;
- for (l=0; l<number_of_adds; l++) {
- GINAC_ASSERT(is_ex_exactly_of_type(expanded_seq[positions_of_adds[l]],add));
- add const & addref=ex_to_add(expanded_seq[positions_of_adds[l]]);
- term[positions_of_adds[l]]=addref.recombine_pair_to_ex(addref.seq[k[l]]);
- }
- distrseq.push_back((new ncmul(term,1))->setflag(status_flags::dynallocated |
- status_flags::expanded));
-
- // increment k[]
- l=number_of_adds-1;
- while ((l>=0)&&((++k[l])>=number_of_add_operands[l])) {
- k[l]=0;
- l--;
- }
- if (l<0) break;
- }
-
- return (new add(distrseq))->setflag(status_flags::dynallocated |
- status_flags::expanded);
-}
-
-int ncmul::degree(symbol const & s) const
-{
- int deg_sum=0;
- for (exvector::const_iterator cit=seq.begin(); cit!=seq.end(); ++cit) {
- deg_sum+=(*cit).degree(s);
- }
- return deg_sum;
-}
-
-int ncmul::ldegree(symbol const & s) const
-{
- int deg_sum=0;
- for (exvector::const_iterator cit=seq.begin(); cit!=seq.end(); ++cit) {
- deg_sum+=(*cit).ldegree(s);
- }
- return deg_sum;
-}
-
-ex ncmul::coeff(symbol const & s, int const n) const
-{
- exvector coeffseq;
- coeffseq.reserve(seq.size());
-
- if (n==0) {
- // product of individual coeffs
- // if a non-zero power of s is found, the resulting product will be 0
- exvector::const_iterator it=seq.begin();
- while (it!=seq.end()) {
- coeffseq.push_back((*it).coeff(s,n));
- ++it;
- }
- return (new ncmul(coeffseq,1))->setflag(status_flags::dynallocated);
- }
-
- exvector::const_iterator it=seq.begin();
- bool coeff_found=0;
- while (it!=seq.end()) {
- ex c=(*it).coeff(s,n);
- if (!c.is_zero()) {
- coeffseq.push_back(c);
- coeff_found=1;
- } else {
- coeffseq.push_back(*it);
- }
- ++it;
- }
-
- if (coeff_found) return (new ncmul(coeffseq,1))->setflag(status_flags::dynallocated);
-
- return _ex0();
-}
-
-unsigned ncmul::count_factors(ex const & e) const
-{
- if ((is_ex_exactly_of_type(e,mul)&&(e.return_type()!=return_types::commutative))||
- (is_ex_exactly_of_type(e,ncmul))) {
- unsigned factors=0;
- for (unsigned i=0; i<e.nops(); i++)
- factors += count_factors(e.op(i));
-
- return factors;
- }
- return 1;
-}
-
-void ncmul::append_factors(exvector & v, ex const & e) const
-{
- if ((is_ex_exactly_of_type(e,mul)&&(e.return_type()!=return_types::commutative))||
- (is_ex_exactly_of_type(e,ncmul))) {
- for (unsigned i=0; i<e.nops(); i++)
- append_factors(v,e.op(i));
-
- return;
- }
- v.push_back(e);
-}
-
-typedef vector<unsigned> unsignedvector;
-typedef vector<exvector> exvectorvector;
+ exvector sub_expanded_seq;
+ intvector positions_of_adds;
+ intvector number_of_add_operands;
+
+ exvector expanded_seq=expandchildren(options);
+
+ positions_of_adds.resize(expanded_seq.size());
+ number_of_add_operands.resize(expanded_seq.size());
+
+ int number_of_adds=0;
+ int number_of_expanded_terms=1;
+
+ unsigned current_position=0;
+ exvector::const_iterator last=expanded_seq.end();
+ for (exvector::const_iterator cit=expanded_seq.begin(); cit!=last; ++cit) {
+ if (is_ex_exactly_of_type((*cit),add)) {
+ positions_of_adds[number_of_adds]=current_position;
+ const add & expanded_addref=ex_to_add(*cit);
+ number_of_add_operands[number_of_adds]=expanded_addref.seq.size();
+ number_of_expanded_terms *= expanded_addref.seq.size();
+ number_of_adds++;
+ }
+ current_position++;
+ }
+
+ if (number_of_adds==0) {
+ return (new ncmul(expanded_seq,1))->setflag(status_flags::dynallocated ||
+ status_flags::expanded);
+ }
+
+ exvector distrseq;
+ distrseq.reserve(number_of_expanded_terms);
+
+ intvector k;
+ k.resize(number_of_adds);
+
+ int l;
+ for (l=0; l<number_of_adds; l++) {
+ k[l]=0;
+ }
+
+ while (1) {
+ exvector term;
+ term=expanded_seq;
+ for (l=0; l<number_of_adds; l++) {
+ GINAC_ASSERT(is_ex_exactly_of_type(expanded_seq[positions_of_adds[l]],add));
+ const add & addref=ex_to_add(expanded_seq[positions_of_adds[l]]);
+ term[positions_of_adds[l]]=addref.recombine_pair_to_ex(addref.seq[k[l]]);
+ }
+ distrseq.push_back((new ncmul(term,1))->setflag(status_flags::dynallocated |
+ status_flags::expanded));
+
+ // increment k[]
+ l=number_of_adds-1;
+ while ((l>=0)&&((++k[l])>=number_of_add_operands[l])) {
+ k[l]=0;
+ l--;
+ }
+ if (l<0) break;
+ }
+
+ return (new add(distrseq))->setflag(status_flags::dynallocated |
+ status_flags::expanded);
+}
+
+int ncmul::degree(const symbol & s) const
+{
+ int deg_sum=0;
+ for (exvector::const_iterator cit=seq.begin(); cit!=seq.end(); ++cit) {
+ deg_sum+=(*cit).degree(s);
+ }
+ return deg_sum;
+}
+
+int ncmul::ldegree(const symbol & s) const
+{
+ int deg_sum=0;
+ for (exvector::const_iterator cit=seq.begin(); cit!=seq.end(); ++cit) {
+ deg_sum+=(*cit).ldegree(s);
+ }
+ return deg_sum;
+}
+
+ex ncmul::coeff(const symbol & s, int n) const
+{
+ exvector coeffseq;
+ coeffseq.reserve(seq.size());
+
+ if (n==0) {
+ // product of individual coeffs
+ // if a non-zero power of s is found, the resulting product will be 0
+ exvector::const_iterator it=seq.begin();
+ while (it!=seq.end()) {
+ coeffseq.push_back((*it).coeff(s,n));
+ ++it;
+ }
+ return (new ncmul(coeffseq,1))->setflag(status_flags::dynallocated);
+ }
+
+ exvector::const_iterator it=seq.begin();
+ bool coeff_found=0;
+ while (it!=seq.end()) {
+ ex c=(*it).coeff(s,n);
+ if (!c.is_zero()) {
+ coeffseq.push_back(c);
+ coeff_found=1;
+ } else {
+ coeffseq.push_back(*it);
+ }
+ ++it;
+ }
+
+ if (coeff_found) return (new ncmul(coeffseq,1))->setflag(status_flags::dynallocated);
+
+ return _ex0();
+}
+
+unsigned ncmul::count_factors(const ex & e) const
+{
+ if ((is_ex_exactly_of_type(e,mul)&&(e.return_type()!=return_types::commutative))||
+ (is_ex_exactly_of_type(e,ncmul))) {
+ unsigned factors=0;
+ for (unsigned i=0; i<e.nops(); i++)
+ factors += count_factors(e.op(i));
+
+ return factors;
+ }
+ return 1;
+}
+
+void ncmul::append_factors(exvector & v, const ex & e) const
+{
+ if ((is_ex_exactly_of_type(e,mul)&&(e.return_type()!=return_types::commutative))||
+ (is_ex_exactly_of_type(e,ncmul))) {
+ for (unsigned i=0; i<e.nops(); i++)
+ append_factors(v,e.op(i));
+
+ return;
+ }
+ v.push_back(e);
+}
+
+typedef std::vector<unsigned> unsignedvector;
+typedef std::vector<exvector> exvectorvector;
ex ncmul::eval(int level) const
{
- // simplifications: ncmul(...,*(x1,x2),...,ncmul(x3,x4),...) ->
- // ncmul(...,x1,x2,...,x3,x4,...) (associativity)
- // ncmul(x) -> x
- // ncmul() -> 1
- // ncmul(...,c1,...,c2,...) ->
- // *(c1,c2,ncmul(...)) (pull out commutative elements)
- // ncmul(x1,y1,x2,y2) -> *(ncmul(x1,x2),ncmul(y1,y2))
- // (collect elements of same type)
- // ncmul(x1,x2,x3,...) -> x::eval_ncmul(x1,x2,x3,...)
- // the following rule would be nice, but produces a recursion,
- // which must be trapped by introducing a flag that the sub-ncmuls()
- // are already evaluated (maybe later...)
- // ncmul(x1,x2,...,X,y1,y2,...) ->
- // ncmul(ncmul(x1,x2,...),X,ncmul(y1,y2,...)
- // (X noncommutative_composite)
-
- if ((level==1)&&(flags & status_flags::evaluated)) {
- return *this;
- }
-
- exvector evaledseq=evalchildren(level);
-
- // ncmul(...,*(x1,x2),...,ncmul(x3,x4),...) ->
- // ncmul(...,x1,x2,...,x3,x4,...) (associativity)
- unsigned factors=0;
- for (exvector::const_iterator cit=evaledseq.begin(); cit!=evaledseq.end(); ++cit) {
- factors += count_factors(*cit);
- }
-
- exvector assocseq;
- assocseq.reserve(factors);
- for (exvector::const_iterator cit=evaledseq.begin(); cit!=evaledseq.end(); ++cit) {
- append_factors(assocseq,*cit);
- }
-
- // ncmul(x) -> x
- if (assocseq.size()==1) return *(seq.begin());
-
- // ncmul() -> 1
- if (assocseq.size()==0) return _ex1();
-
- // determine return types
- unsignedvector rettypes;
- rettypes.reserve(assocseq.size());
- unsigned i=0;
- unsigned count_commutative=0;
- unsigned count_noncommutative=0;
- unsigned count_noncommutative_composite=0;
- for (exvector::const_iterator cit=assocseq.begin(); cit!=assocseq.end(); ++cit) {
- switch (rettypes[i]=(*cit).return_type()) {
- case return_types::commutative:
- count_commutative++;
- break;
- case return_types::noncommutative:
- count_noncommutative++;
- break;
- case return_types::noncommutative_composite:
- count_noncommutative_composite++;
- break;
- default:
- throw(std::logic_error("ncmul::eval(): invalid return type"));
- }
- ++i;
- }
- GINAC_ASSERT(count_commutative+count_noncommutative+count_noncommutative_composite==assocseq.size());
-
- // ncmul(...,c1,...,c2,...) ->
- // *(c1,c2,ncmul(...)) (pull out commutative elements)
- if (count_commutative!=0) {
- exvector commutativeseq;
- commutativeseq.reserve(count_commutative+1);
- exvector noncommutativeseq;
- noncommutativeseq.reserve(assocseq.size()-count_commutative);
- for (i=0; i<assocseq.size(); ++i) {
- if (rettypes[i]==return_types::commutative) {
- commutativeseq.push_back(assocseq[i]);
- } else {
- noncommutativeseq.push_back(assocseq[i]);
- }
- }
- commutativeseq.push_back((new ncmul(noncommutativeseq,1))->
- setflag(status_flags::dynallocated));
- return (new mul(commutativeseq))->setflag(status_flags::dynallocated);
- }
-
- // ncmul(x1,y1,x2,y2) -> *(ncmul(x1,x2),ncmul(y1,y2))
- // (collect elements of same type)
-
- if (count_noncommutative_composite==0) {
- // there are neither commutative nor noncommutative_composite
- // elements in assocseq
- GINAC_ASSERT(count_commutative==0);
-
- exvectorvector evv;
- unsignedvector rttinfos;
- evv.reserve(assocseq.size());
- rttinfos.reserve(assocseq.size());
-
- for (exvector::const_iterator cit=assocseq.begin(); cit!=assocseq.end(); ++cit) {
- unsigned ti=(*cit).return_type_tinfo();
- // search type in vector of known types
- for (i=0; i<rttinfos.size(); ++i) {
- if (ti==rttinfos[i]) {
- evv[i].push_back(*cit);
- break;
- }
- }
- if (i>=rttinfos.size()) {
- // new type
- rttinfos.push_back(ti);
- evv.push_back(exvector());
- (*(evv.end()-1)).reserve(assocseq.size());
- (*(evv.end()-1)).push_back(*cit);
- }
- }
+ // simplifications: ncmul(...,*(x1,x2),...,ncmul(x3,x4),...) ->
+ // ncmul(...,x1,x2,...,x3,x4,...) (associativity)
+ // ncmul(x) -> x
+ // ncmul() -> 1
+ // ncmul(...,c1,...,c2,...)
+ // *(c1,c2,ncmul(...)) (pull out commutative elements)
+ // ncmul(x1,y1,x2,y2) -> *(ncmul(x1,x2),ncmul(y1,y2))
+ // (collect elements of same type)
+ // ncmul(x1,x2,x3,...) -> x::eval_ncmul(x1,x2,x3,...)
+ // the following rule would be nice, but produces a recursion,
+ // which must be trapped by introducing a flag that the sub-ncmuls()
+ // are already evaluated (maybe later...)
+ // ncmul(x1,x2,...,X,y1,y2,...) ->
+ // ncmul(ncmul(x1,x2,...),X,ncmul(y1,y2,...)
+ // (X noncommutative_composite)
+
+ if ((level==1)&&(flags & status_flags::evaluated)) {
+ return *this;
+ }
+
+ exvector evaledseq=evalchildren(level);
+
+ // ncmul(...,*(x1,x2),...,ncmul(x3,x4),...) ->
+ // ncmul(...,x1,x2,...,x3,x4,...) (associativity)
+ unsigned factors=0;
+ for (exvector::const_iterator cit=evaledseq.begin(); cit!=evaledseq.end(); ++cit) {
+ factors += count_factors(*cit);
+ }
+
+ exvector assocseq;
+ assocseq.reserve(factors);
+ for (exvector::const_iterator cit=evaledseq.begin(); cit!=evaledseq.end(); ++cit) {
+ append_factors(assocseq,*cit);
+ }
+
+ // ncmul(x) -> x
+ if (assocseq.size()==1) return *(seq.begin());
+
+ // ncmul() -> 1
+ if (assocseq.size()==0) return _ex1();
+
+ // determine return types
+ unsignedvector rettypes;
+ rettypes.reserve(assocseq.size());
+ unsigned i=0;
+ unsigned count_commutative=0;
+ unsigned count_noncommutative=0;
+ unsigned count_noncommutative_composite=0;
+ for (exvector::const_iterator cit=assocseq.begin(); cit!=assocseq.end(); ++cit) {
+ switch (rettypes[i]=(*cit).return_type()) {
+ case return_types::commutative:
+ count_commutative++;
+ break;
+ case return_types::noncommutative:
+ count_noncommutative++;
+ break;
+ case return_types::noncommutative_composite:
+ count_noncommutative_composite++;
+ break;
+ default:
+ throw(std::logic_error("ncmul::eval(): invalid return type"));
+ }
+ ++i;
+ }
+ GINAC_ASSERT(count_commutative+count_noncommutative+count_noncommutative_composite==assocseq.size());
+
+ // ncmul(...,c1,...,c2,...) ->
+ // *(c1,c2,ncmul(...)) (pull out commutative elements)
+ if (count_commutative!=0) {
+ exvector commutativeseq;
+ commutativeseq.reserve(count_commutative+1);
+ exvector noncommutativeseq;
+ noncommutativeseq.reserve(assocseq.size()-count_commutative);
+ for (i=0; i<assocseq.size(); ++i) {
+ if (rettypes[i]==return_types::commutative) {
+ commutativeseq.push_back(assocseq[i]);
+ } else {
+ noncommutativeseq.push_back(assocseq[i]);
+ }
+ }
+ commutativeseq.push_back((new ncmul(noncommutativeseq,1))->setflag(status_flags::dynallocated));
+ return (new mul(commutativeseq))->setflag(status_flags::dynallocated);
+ }
+
+ // ncmul(x1,y1,x2,y2) -> *(ncmul(x1,x2),ncmul(y1,y2))
+ // (collect elements of same type)
+
+ if (count_noncommutative_composite==0) {
+ // there are neither commutative nor noncommutative_composite
+ // elements in assocseq
+ GINAC_ASSERT(count_commutative==0);
+
+ exvectorvector evv;
+ unsignedvector rttinfos;
+ evv.reserve(assocseq.size());
+ rttinfos.reserve(assocseq.size());
+
+ for (exvector::const_iterator cit=assocseq.begin(); cit!=assocseq.end(); ++cit) {
+ unsigned ti=(*cit).return_type_tinfo();
+ // search type in vector of known types
+ for (i=0; i<rttinfos.size(); ++i) {
+ if (ti==rttinfos[i]) {
+ evv[i].push_back(*cit);
+ break;
+ }
+ }
+ if (i>=rttinfos.size()) {
+ // new type
+ rttinfos.push_back(ti);
+ evv.push_back(exvector());
+ (*(evv.end()-1)).reserve(assocseq.size());
+ (*(evv.end()-1)).push_back(*cit);
+ }
+ }
#ifdef DO_GINAC_ASSERT
- GINAC_ASSERT(evv.size()==rttinfos.size());
- GINAC_ASSERT(evv.size()>0);
- unsigned s=0;
- for (i=0; i<evv.size(); ++i) {
- s += evv[i].size();
- }
- GINAC_ASSERT(s==assocseq.size());
+ GINAC_ASSERT(evv.size()==rttinfos.size());
+ GINAC_ASSERT(evv.size()>0);
+ unsigned s=0;
+ for (i=0; i<evv.size(); ++i) {
+ s += evv[i].size();
+ }
+ GINAC_ASSERT(s==assocseq.size());
#endif // def DO_GINAC_ASSERT
-
- // if all elements are of same type, simplify the string
- if (evv.size()==1) {
- return evv[0][0].simplify_ncmul(evv[0]);
- }
-
- exvector splitseq;
- splitseq.reserve(evv.size());
- for (i=0; i<evv.size(); ++i) {
- splitseq.push_back((new ncmul(evv[i]))->
- setflag(status_flags::dynallocated));
- }
-
- return (new mul(splitseq))->setflag(status_flags::dynallocated);
- }
-
- return (new ncmul(assocseq))->setflag(status_flags::dynallocated |
- status_flags::evaluated);
+
+ // if all elements are of same type, simplify the string
+ if (evv.size()==1) {
+ return evv[0][0].simplify_ncmul(evv[0]);
+ }
+
+ exvector splitseq;
+ splitseq.reserve(evv.size());
+ for (i=0; i<evv.size(); ++i) {
+ splitseq.push_back((new ncmul(evv[i]))->setflag(status_flags::dynallocated));
+ }
+
+ return (new mul(splitseq))->setflag(status_flags::dynallocated);
+ }
+
+ return (new ncmul(assocseq))->setflag(status_flags::dynallocated |
+ status_flags::evaluated);
}
exvector ncmul::get_indices(void) const
{
- // return union of indices of factors
- exvector iv;
- for (exvector::const_iterator cit=seq.begin(); cit!=seq.end(); ++cit) {
- exvector subiv=(*cit).get_indices();
- iv.reserve(iv.size()+subiv.size());
- for (exvector::const_iterator cit2=subiv.begin(); cit2!=subiv.end(); ++cit2) {
- iv.push_back(*cit2);
- }
- }
- return iv;
+ // return union of indices of factors
+ exvector iv;
+ for (exvector::const_iterator cit=seq.begin(); cit!=seq.end(); ++cit) {
+ exvector subiv=(*cit).get_indices();
+ iv.reserve(iv.size()+subiv.size());
+ for (exvector::const_iterator cit2=subiv.begin(); cit2!=subiv.end(); ++cit2) {
+ iv.push_back(*cit2);
+ }
+ }
+ return iv;
}
-ex ncmul::subs(lst const & ls, lst const & lr) const
+ex ncmul::subs(const lst & ls, const lst & lr) const
{
- return ncmul(subschildren(ls, lr));
+ return ncmul(subschildren(ls, lr));
}
-ex ncmul::thisexprseq(exvector const & v) const
+ex ncmul::thisexprseq(const exvector & v) const
{
- return (new ncmul(v))->setflag(status_flags::dynallocated);
+ return (new ncmul(v))->setflag(status_flags::dynallocated);
}
ex ncmul::thisexprseq(exvector * vp) const
{
- return (new ncmul(vp))->setflag(status_flags::dynallocated);
+ return (new ncmul(vp))->setflag(status_flags::dynallocated);
}
// protected
-int ncmul::compare_same_type(basic const & other) const
+/** Implementation of ex::diff() for a non-commutative product. It always returns 0.
+ * @see ex::diff */
+ex ncmul::derivative(const symbol & s) const
+{
+ return _ex0();
+}
+
+int ncmul::compare_same_type(const basic & other) const
{
- return inherited::compare_same_type(other);
+ return inherited::compare_same_type(other);
}
unsigned ncmul::return_type(void) const
{
- if (seq.size()==0) {
- // ncmul without factors: should not happen, but commutes
- return return_types::commutative;
- }
-
- bool all_commutative=1;
- unsigned rt;
- exvector::const_iterator cit_noncommutative_element; // point to first found nc element
-
- for (exvector::const_iterator cit=seq.begin(); cit!=seq.end(); ++cit) {
- rt=(*cit).return_type();
- if (rt==return_types::noncommutative_composite) return rt; // one ncc -> mul also ncc
- if ((rt==return_types::noncommutative)&&(all_commutative)) {
- // first nc element found, remember position
- cit_noncommutative_element=cit;
- all_commutative=0;
- }
- if ((rt==return_types::noncommutative)&&(!all_commutative)) {
- // another nc element found, compare type_infos
- if ((*cit_noncommutative_element).return_type_tinfo()!=(*cit).return_type_tinfo()) {
- // diffent types -> mul is ncc
- return return_types::noncommutative_composite;
- }
- }
- }
- // all factors checked
- GINAC_ASSERT(!all_commutative); // not all factors should commute, because this is a ncmul();
- return all_commutative ? return_types::commutative : return_types::noncommutative;
+ if (seq.size()==0) {
+ // ncmul without factors: should not happen, but commutes
+ return return_types::commutative;
+ }
+
+ bool all_commutative=1;
+ unsigned rt;
+ exvector::const_iterator cit_noncommutative_element; // point to first found nc element
+
+ for (exvector::const_iterator cit=seq.begin(); cit!=seq.end(); ++cit) {
+ rt=(*cit).return_type();
+ if (rt==return_types::noncommutative_composite) return rt; // one ncc -> mul also ncc
+ if ((rt==return_types::noncommutative)&&(all_commutative)) {
+ // first nc element found, remember position
+ cit_noncommutative_element=cit;
+ all_commutative=0;
+ }
+ if ((rt==return_types::noncommutative)&&(!all_commutative)) {
+ // another nc element found, compare type_infos
+ if ((*cit_noncommutative_element).return_type_tinfo()!=(*cit).return_type_tinfo()) {
+ // diffent types -> mul is ncc
+ return return_types::noncommutative_composite;
+ }
+ }
+ }
+ // all factors checked
+ GINAC_ASSERT(!all_commutative); // not all factors should commute, because this is a ncmul();
+ return all_commutative ? return_types::commutative : return_types::noncommutative;
}
unsigned ncmul::return_type_tinfo(void) const
{
- if (seq.size()==0) {
- // mul without factors: should not happen
- return tinfo_key;
- }
- // return type_info of first noncommutative element
- for (exvector::const_iterator cit=seq.begin(); cit!=seq.end(); ++cit) {
- if ((*cit).return_type()==return_types::noncommutative) {
- return (*cit).return_type_tinfo();
- }
- }
- // no noncommutative element found, should not happen
- return tinfo_key;
+ if (seq.size()==0) {
+ // mul without factors: should not happen
+ return tinfo_key;
+ }
+ // return type_info of first noncommutative element
+ for (exvector::const_iterator cit=seq.begin(); cit!=seq.end(); ++cit) {
+ if ((*cit).return_type()==return_types::noncommutative) {
+ return (*cit).return_type_tinfo();
+ }
+ }
+ // no noncommutative element found, should not happen
+ return tinfo_key;
}
//////////
exvector ncmul::expandchildren(unsigned options) const
{
- exvector s;
- s.reserve(seq.size());
+ exvector s;
+ s.reserve(seq.size());
- for (exvector::const_iterator it=seq.begin(); it!=seq.end(); ++it) {
- s.push_back((*it).expand(options));
- }
- return s;
+ for (exvector::const_iterator it=seq.begin(); it!=seq.end(); ++it) {
+ s.push_back((*it).expand(options));
+ }
+ return s;
}
-exvector const & ncmul::get_factors(void) const
+const exvector & ncmul::get_factors(void) const
{
- return seq;
+ return seq;
}
//////////
//////////
const ncmul some_ncmul;
-type_info const & typeid_ncmul=typeid(some_ncmul);
+const type_info & typeid_ncmul=typeid(some_ncmul);
//////////
// friend functions
//////////
-ex nonsimplified_ncmul(exvector const & v)
+ex nonsimplified_ncmul(const exvector & v)
{
- return (new ncmul(v))->setflag(status_flags::dynallocated);
+ return (new ncmul(v))->setflag(status_flags::dynallocated);
}
-ex simplified_ncmul(exvector const & v)
+ex simplified_ncmul(const exvector & v)
{
- if (v.size()==0) {
- return _ex1();
- } else if (v.size()==1) {
- return v[0];
- }
- return (new ncmul(v))->setflag(status_flags::dynallocated |
- status_flags::evaluated);
+ if (v.size()==0) {
+ return _ex1();
+ } else if (v.size()==1) {
+ return v[0];
+ }
+ return (new ncmul(v))->setflag(status_flags::dynallocated |
+ status_flags::evaluated);
}
-#ifndef NO_GINAC_NAMESPACE
+#ifndef NO_NAMESPACE_GINAC
} // namespace GiNaC
-#endif // ndef NO_GINAC_NAMESPACE
+#endif // ndef NO_NAMESPACE_GINAC
git://www.ginac.de / ginac.git / blobdiff