* Implementation of GiNaC's non-commutative products of expressions. */
/*
- * GiNaC Copyright (C) 1999-2001 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2019 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 <iostream>
-#include <stdexcept>
-
#include "ncmul.h"
#include "ex.h"
#include "add.h"
#include "mul.h"
+#include "clifford.h"
#include "matrix.h"
-#include "print.h"
#include "archive.h"
-#include "debugmsg.h"
+#include "indexed.h"
#include "utils.h"
+#include <algorithm>
+#include <iostream>
+#include <stdexcept>
+
namespace GiNaC {
-GINAC_IMPLEMENT_REGISTERED_CLASS(ncmul, exprseq)
+GINAC_IMPLEMENT_REGISTERED_CLASS_OPT(ncmul, exprseq,
+ print_func<print_context>(&ncmul::do_print).
+ print_func<print_tree>(&ncmul::do_print_tree).
+ print_func<print_csrc>(&ncmul::do_print_csrc).
+ print_func<print_python_repr>(&ncmul::do_print_csrc))
+
//////////
-// default constructor, destructor, copy constructor assignment operator and helpers
+// default constructor
//////////
ncmul::ncmul()
{
- debugmsg("ncmul default constructor",LOGLEVEL_CONSTRUCT);
- tinfo_key = TINFO_ncmul;
}
-DEFAULT_COPY(ncmul)
-DEFAULT_DESTROY(ncmul)
-
//////////
// other constructors
//////////
// public
-ncmul::ncmul(const ex & lh, const ex & 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;
}
-ncmul::ncmul(const ex & f1, const ex & f2, const ex & 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;
}
ncmul::ncmul(const ex & f1, const ex & f2, const ex & f3,
- const ex & f4) : inherited(f1,f2,f3,f4)
+ const ex & f4) : inherited{f1,f2,f3,f4}
{
- debugmsg("ncmul constructor from 4 ex",LOGLEVEL_CONSTRUCT);
- tinfo_key = TINFO_ncmul;
}
ncmul::ncmul(const ex & f1, const ex & f2, const ex & f3,
- const ex & f4, const ex & f5) : inherited(f1,f2,f3,f4,f5)
+ const ex & f4, const ex & f5) : inherited{f1,f2,f3,f4,f5}
{
- debugmsg("ncmul constructor from 5 ex",LOGLEVEL_CONSTRUCT);
- tinfo_key = TINFO_ncmul;
}
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)
+ 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;
}
-ncmul::ncmul(const exvector & v, bool discardable) : inherited(v,discardable)
+ncmul::ncmul(const exvector & v) : inherited(v)
{
- debugmsg("ncmul constructor from exvector,bool",LOGLEVEL_CONSTRUCT);
- tinfo_key = TINFO_ncmul;
}
-ncmul::ncmul(exvector * vp) : inherited(vp)
+ncmul::ncmul(exvector && v) : inherited(std::move(v))
{
- debugmsg("ncmul constructor from exvector *",LOGLEVEL_CONSTRUCT);
- tinfo_key = TINFO_ncmul;
}
//////////
// archiving
//////////
-DEFAULT_ARCHIVING(ncmul)
-
+
//////////
// functions overriding virtual functions from base classes
//////////
// public
-void ncmul::print(const print_context & c, unsigned level) const
+void ncmul::do_print(const print_context & c, unsigned level) const
{
- debugmsg("ncmul print", LOGLEVEL_PRINT);
-
- if (is_a<print_tree>(c)) {
-
- inherited::print(c, level);
-
- } else if (is_a<print_csrc>(c)) {
-
- c.s << "ncmul(";
- exvector::const_iterator it = seq.begin(), itend = seq.end()-1;
- while (it != itend) {
- it->print(c, precedence());
- c.s << ",";
- it++;
- }
- it->print(c, precedence());
- c.s << ")";
+ printseq(c, '(', '*', ')', precedence(), level);
+}
- } else
- printseq(c, '(', '*', ')', precedence(), level);
+void ncmul::do_print_csrc(const print_context & c, unsigned level) const
+{
+ c.s << class_name();
+ printseq(c, '(', ',', ')', precedence(), precedence());
}
bool ncmul::info(unsigned inf) const
return inherited::info(inf);
}
-typedef std::vector<int> intvector;
+typedef std::vector<std::size_t> uintvector;
ex ncmul::expand(unsigned options) const
{
// First, expand the children
- exvector expanded_seq = expandchildren(options);
+ exvector v = expandchildren(options);
+ const exvector &expanded_seq = v.empty() ? this->seq : v;
// Now, look for all the factors that are sums and remember their
// position and number of terms.
- intvector positions_of_adds(expanded_seq.size());
- intvector number_of_add_operands(expanded_seq.size());
+ uintvector positions_of_adds(expanded_seq.size());
+ uintvector number_of_add_operands(expanded_seq.size());
- int number_of_adds = 0;
- int number_of_expanded_terms = 1;
+ size_t number_of_adds = 0;
+ size_t 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_exactly_a<add>(*cit)) {
+ size_t current_position = 0;
+ for (auto & it : expanded_seq) {
+ if (is_exactly_a<add>(it)) {
positions_of_adds[number_of_adds] = current_position;
- unsigned num_ops = cit->nops();
+ size_t num_ops = it.nops();
number_of_add_operands[number_of_adds] = num_ops;
number_of_expanded_terms *= num_ops;
number_of_adds++;
}
// If there are no sums, we are done
- if (number_of_adds == 0)
- return (new ncmul(expanded_seq, true))->
- setflag(status_flags::dynallocated | (options == 0 ? status_flags::expanded : 0));
+ if (number_of_adds == 0) {
+ if (!v.empty())
+ return dynallocate<ncmul>(std::move(v)).setflag(options == 0 ? status_flags::expanded : 0);
+ else
+ return *this;
+ }
// Now, form all possible products of the terms of the sums with the
// remaining factors, and add them together
exvector distrseq;
distrseq.reserve(number_of_expanded_terms);
- intvector k(number_of_adds);
+ uintvector k(number_of_adds);
+
+ /* Rename indices in the static members of the product */
+ exvector expanded_seq_mod;
+ size_t j = 0;
+ exvector va;
+
+ for (size_t i=0; i<expanded_seq.size(); i++) {
+ if (i == positions_of_adds[j]) {
+ expanded_seq_mod.push_back(_ex1);
+ j++;
+ } else {
+ expanded_seq_mod.push_back(rename_dummy_indices_uniquely(va, expanded_seq[i], true));
+ }
+ }
while (true) {
- exvector term = expanded_seq;
- for (int i=0; i<number_of_adds; i++)
- term[positions_of_adds[i]] = expanded_seq[positions_of_adds[i]].op(k[i]);
- distrseq.push_back((new ncmul(term, true))->
- setflag(status_flags::dynallocated | (options == 0 ? status_flags::expanded : 0)));
+ exvector term = expanded_seq_mod;
+ for (size_t i=0; i<number_of_adds; i++) {
+ term[positions_of_adds[i]] = rename_dummy_indices_uniquely(va, expanded_seq[positions_of_adds[i]].op(k[i]), true);
+ }
+
+ distrseq.push_back(dynallocate<ncmul>(std::move(term)).setflag(options == 0 ? status_flags::expanded : 0));
// increment k[]
int l = number_of_adds-1;
break;
}
- return (new add(distrseq))->
- setflag(status_flags::dynallocated | (options == 0 ? status_flags::expanded : 0));
+ return dynallocate<add>(distrseq).setflag(options == 0 ? status_flags::expanded : 0);
}
int ncmul::degree(const ex & s) const
{
+ if (is_equal(ex_to<basic>(s)))
+ return 1;
+
// Sum up degrees of factors
int deg_sum = 0;
- exvector::const_iterator i = seq.begin(), end = seq.end();
- while (i != end) {
- deg_sum += i->degree(s);
- ++i;
- }
+ for (auto & i : seq)
+ deg_sum += i.degree(s);
return deg_sum;
}
int ncmul::ldegree(const ex & s) const
{
+ if (is_equal(ex_to<basic>(s)))
+ return 1;
+
// Sum up degrees of factors
int deg_sum = 0;
- exvector::const_iterator i = seq.begin(), end = seq.end();
- while (i != end) {
- deg_sum += i->degree(s);
- ++i;
- }
+ for (auto & i : seq)
+ deg_sum += i.degree(s);
return deg_sum;
}
ex ncmul::coeff(const ex & s, int n) const
{
+ if (is_equal(ex_to<basic>(s)))
+ return n==1 ? _ex1 : _ex0;
+
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);
+ for (auto & it : seq)
+ coeffseq.push_back(it.coeff(s,n));
+ return dynallocate<ncmul>(std::move(coeffseq));
}
- exvector::const_iterator i = seq.begin(), end = seq.end();
bool coeff_found = false;
- while (i != end) {
- ex c = i->coeff(s,n);
+ for (auto & i : seq) {
+ ex c = i.coeff(s,n);
if (c.is_zero()) {
- coeffseq.push_back(*i);
+ coeffseq.push_back(i);
} else {
coeffseq.push_back(c);
coeff_found = true;
}
- ++i;
}
- if (coeff_found) return (new ncmul(coeffseq,1))->setflag(status_flags::dynallocated);
+ if (coeff_found)
+ return dynallocate<ncmul>(std::move(coeffseq));
return _ex0;
}
-unsigned ncmul::count_factors(const ex & e) const
+size_t 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++)
+ if ((is_exactly_a<mul>(e)&&(e.return_type()!=return_types::commutative))||
+ (is_exactly_a<ncmul>(e))) {
+ size_t factors=0;
+ for (size_t i=0; i<e.nops(); i++)
factors += count_factors(e.op(i));
return factors;
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));
+ if ((is_exactly_a<mul>(e)&&(e.return_type()!=return_types::commutative))||
+ (is_exactly_a<ncmul>(e))) {
+ for (size_t i=0; i<e.nops(); i++)
+ append_factors(v, e.op(i));
} else
v.push_back(e);
}
* - 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::simplify_ncmul(x1,x2,x3,...)
- *
- * @param level cut-off in recursive evaluation */
-ex ncmul::eval(int level) const
+ * - ncmul(x1,x2,x3,...) -> x::eval_ncmul(x1,x2,x3,...)
+ */
+ex ncmul::eval() const
{
// The following additional rule would be nice, but produces a recursion,
// which must be trapped by introducing a flag that the sub-ncmuls()
// ncmul(ncmul(x1,x2,...),X,ncmul(y1,y2,...)
// (X noncommutative_composite)
- if ((level==1) && (flags & status_flags::evaluated)) {
+ if (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;
- exvector::const_iterator cit = evaledseq.begin(), citend = evaledseq.end();
- while (cit != citend)
- factors += count_factors(*cit++);
+ size_t factors = 0;
+ for (auto & it : seq)
+ factors += count_factors(it);
exvector assocseq;
assocseq.reserve(factors);
- cit = evaledseq.begin();
- while (cit != citend)
- append_factors(assocseq, *cit++);
+ make_flat_inserter mf(seq, true);
+ for (auto & it : seq) {
+ ex factor = mf.handle_factor(it, 1);
+ append_factors(assocseq, factor);
+ }
// ncmul(x) -> x
if (assocseq.size()==1) return *(seq.begin());
if (assocseq.empty()) 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;
- cit = assocseq.begin(); citend = assocseq.end();
- while (cit != citend) {
- switch (rettypes[i] = cit->return_type()) {
+ unsignedvector rettypes(assocseq.size());
+ size_t i = 0;
+ size_t count_commutative=0;
+ size_t count_noncommutative=0;
+ size_t count_noncommutative_composite=0;
+ for (auto & it : assocseq) {
+ rettypes[i] = it.return_type();
+ switch (rettypes[i]) {
case return_types::commutative:
count_commutative++;
break;
default:
throw(std::logic_error("ncmul::eval(): invalid return type"));
}
- ++i; ++cit;
+ ++i;
}
GINAC_ASSERT(count_commutative+count_noncommutative+count_noncommutative_composite==assocseq.size());
commutativeseq.reserve(count_commutative+1);
exvector noncommutativeseq;
noncommutativeseq.reserve(assocseq.size()-count_commutative);
- unsigned num = assocseq.size();
- for (unsigned i=0; i<num; ++i) {
+ size_t num = assocseq.size();
+ for (size_t i=0; i<num; ++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);
+ commutativeseq.push_back(dynallocate<ncmul>(std::move(noncommutativeseq)));
+ return dynallocate<mul>(std::move(commutativeseq));
}
// ncmul(x1,y1,x2,y2) -> *(ncmul(x1,x2),ncmul(y1,y2))
// elements in assocseq
GINAC_ASSERT(count_commutative==0);
- unsigned assoc_num = assocseq.size();
+ size_t assoc_num = assocseq.size();
exvectorvector evv;
- unsignedvector rttinfos;
+ std::vector<return_type_t> rttinfos;
evv.reserve(assoc_num);
rttinfos.reserve(assoc_num);
- cit = assocseq.begin(), citend = assocseq.end();
- while (cit != citend) {
- unsigned ti = cit->return_type_tinfo();
- unsigned rtt_num = rttinfos.size();
+ for (auto & it : assocseq) {
+ return_type_t ti = it.return_type_tinfo();
+ size_t rtt_num = rttinfos.size();
// search type in vector of known types
for (i=0; i<rtt_num; ++i) {
- if (ti == rttinfos[i]) {
- evv[i].push_back(*cit);
+ if(ti == rttinfos[i]) {
+ evv[i].push_back(it);
break;
}
}
rttinfos.push_back(ti);
evv.push_back(exvector());
(evv.end()-1)->reserve(assoc_num);
- (evv.end()-1)->push_back(*cit);
+ (evv.end()-1)->push_back(it);
}
- ++cit;
}
- unsigned evv_num = evv.size();
+ size_t evv_num = evv.size();
#ifdef DO_GINAC_ASSERT
GINAC_ASSERT(evv_num == rttinfos.size());
GINAC_ASSERT(evv_num > 0);
- unsigned s=0;
+ size_t s=0;
for (i=0; i<evv_num; ++i)
s += evv[i].size();
GINAC_ASSERT(s == assoc_num);
#endif // def DO_GINAC_ASSERT
// if all elements are of same type, simplify the string
- if (evv_num == 1)
- return evv[0][0].simplify_ncmul(evv[0]);
+ if (evv_num == 1) {
+ return evv[0][0].eval_ncmul(evv[0]);
+ }
exvector splitseq;
splitseq.reserve(evv_num);
for (i=0; i<evv_num; ++i)
- splitseq.push_back((new ncmul(evv[i]))->setflag(status_flags::dynallocated));
+ splitseq.push_back(dynallocate<ncmul>(evv[i]));
- return (new mul(splitseq))->setflag(status_flags::dynallocated);
+ return dynallocate<mul>(splitseq);
}
- return (new ncmul(assocseq))->setflag(status_flags::dynallocated |
- status_flags::evaluated);
+ return dynallocate<ncmul>(assocseq).setflag(status_flags::evaluated);
}
-ex ncmul::evalm(void) const
+ex ncmul::evalm() const
{
// Evaluate children first
- exvector *s = new exvector;
- s->reserve(seq.size());
- exvector::const_iterator it = seq.begin(), itend = seq.end();
- while (it != itend) {
- s->push_back(it->evalm());
- it++;
- }
+ exvector s;
+ s.reserve(seq.size());
+ for (auto & it : seq)
+ s.push_back(it.evalm());
// If there are only matrices, simply multiply them
- it = s->begin(); itend = s->end();
- if (is_ex_of_type(*it, matrix)) {
+ auto it = s.begin(), itend = s.end();
+ if (is_a<matrix>(*it)) {
matrix prod(ex_to<matrix>(*it));
it++;
while (it != itend) {
- if (!is_ex_of_type(*it, matrix))
+ if (!is_a<matrix>(*it))
goto no_matrix;
prod = prod.mul(ex_to<matrix>(*it));
it++;
}
- delete s;
return prod;
}
no_matrix:
- return (new ncmul(s))->setflag(status_flags::dynallocated);
+ return dynallocate<ncmul>(std::move(s));
+}
+
+ex ncmul::thiscontainer(const exvector & v) const
+{
+ return dynallocate<ncmul>(v);
+}
+
+ex ncmul::thiscontainer(exvector && v) const
+{
+ return dynallocate<ncmul>(std::move(v));
+}
+
+ex ncmul::conjugate() const
+{
+ if (return_type() != return_types::noncommutative) {
+ return exprseq::conjugate();
+ }
+
+ if (!is_clifford_tinfo(return_type_tinfo())) {
+ return exprseq::conjugate();
+ }
+
+ exvector ev;
+ ev.reserve(nops());
+ for (auto i=end(); i!=begin();) {
+ --i;
+ ev.push_back(i->conjugate());
+ }
+ return dynallocate<ncmul>(std::move(ev));
}
-ex ncmul::thisexprseq(const exvector & v) const
+ex ncmul::real_part() const
{
- return (new ncmul(v))->setflag(status_flags::dynallocated);
+ return basic::real_part();
}
-ex ncmul::thisexprseq(exvector * vp) const
+ex ncmul::imag_part() const
{
- return (new ncmul(vp))->setflag(status_flags::dynallocated);
+ return basic::imag_part();
}
// protected
* @see ex::diff */
ex ncmul::derivative(const symbol & s) const
{
- unsigned num = seq.size();
+ size_t num = seq.size();
exvector addseq;
addseq.reserve(num);
// D(a*b*c) = D(a)*b*c + a*D(b)*c + a*b*D(c)
exvector ncmulseq = seq;
- for (unsigned i=0; i<num; ++i) {
+ for (size_t i=0; i<num; ++i) {
ex e = seq[i].diff(s);
e.swap(ncmulseq[i]);
- addseq.push_back((new ncmul(ncmulseq))->setflag(status_flags::dynallocated));
+ addseq.push_back(dynallocate<ncmul>(ncmulseq));
e.swap(ncmulseq[i]);
}
- return (new add(addseq))->setflag(status_flags::dynallocated);
+ return dynallocate<add>(addseq);
}
int ncmul::compare_same_type(const basic & other) const
return inherited::compare_same_type(other);
}
-unsigned ncmul::return_type(void) const
+unsigned ncmul::return_type() const
{
if (seq.empty())
return return_types::commutative;
bool all_commutative = true;
exvector::const_iterator noncommutative_element; // point to first found nc element
- exvector::const_iterator i = seq.begin(), end = seq.end();
+ auto i = seq.begin(), end = seq.end();
while (i != end) {
unsigned rt = i->return_type();
if (rt == return_types::noncommutative_composite)
}
if ((rt == return_types::noncommutative) && (!all_commutative)) {
// another nc element found, compare type_infos
- if (noncommutative_element->return_type_tinfo() != i->return_type_tinfo()) {
- // diffent types -> mul is ncc
- return return_types::noncommutative_composite;
- }
+ if(noncommutative_element->return_type_tinfo() != i->return_type_tinfo())
+ return return_types::noncommutative_composite;
}
++i;
}
// all factors checked
- GINAC_ASSERT(!all_commutative); // not all factors should commute, because this is a ncmul();
+ GINAC_ASSERT(!all_commutative); // not all factors should commutate, because this is a ncmul();
return all_commutative ? return_types::commutative : return_types::noncommutative;
}
-
-unsigned ncmul::return_type_tinfo(void) const
+
+return_type_t ncmul::return_type_tinfo() const
{
if (seq.empty())
- return tinfo_key;
+ return make_return_type_t<ncmul>();
// return type_info of first noncommutative element
- exvector::const_iterator i = seq.begin(), end = seq.end();
- while (i != end) {
- if (i->return_type() == return_types::noncommutative)
- return i->return_type_tinfo();
- ++i;
- }
+ for (auto & i : seq)
+ if (i.return_type() == return_types::noncommutative)
+ return i.return_type_tinfo();
// no noncommutative element found, should not happen
- return tinfo_key;
+ return make_return_type_t<ncmul>();
}
//////////
exvector ncmul::expandchildren(unsigned options) const
{
- exvector s;
- s.reserve(seq.size());
- exvector::const_iterator it = seq.begin(), itend = seq.end();
- while (it != itend) {
- s.push_back(it->expand(options));
- it++;
+ auto cit = this->seq.begin(), end = this->seq.end();
+ while (cit != end) {
+ const ex & expanded_ex = cit->expand(options);
+ if (!are_ex_trivially_equal(*cit, expanded_ex)) {
+
+ // copy first part of seq which hasn't changed
+ exvector s(this->seq.begin(), cit);
+ s.reserve(this->seq.size());
+
+ // insert changed element
+ s.push_back(expanded_ex);
+ ++cit;
+
+ // copy rest
+ while (cit != end) {
+ s.push_back(cit->expand(options));
+ ++cit;
+ }
+
+ return s;
+ }
+
+ ++cit;
}
- return s;
+
+ return exvector(); // nothing has changed
}
-const exvector & ncmul::get_factors(void) const
+const exvector & ncmul::get_factors() const
{
return seq;
}
// friend functions
//////////
-ex nonsimplified_ncmul(const exvector & v)
+ex reeval_ncmul(const exvector & v)
{
- return (new ncmul(v))->setflag(status_flags::dynallocated);
+ return dynallocate<ncmul>(v);
}
-ex simplified_ncmul(const exvector & v)
+ex hold_ncmul(const exvector & v)
{
if (v.empty())
return _ex1;
else if (v.size() == 1)
return v[0];
else
- return (new ncmul(v))->setflag(status_flags::dynallocated |
- status_flags::evaluated);
+ return dynallocate<ncmul>(v).setflag(status_flags::evaluated);
}
+GINAC_BIND_UNARCHIVER(ncmul);
+
} // namespace GiNaC
git://www.ginac.de / ginac.git / blobdiff