* Implementation of GiNaC's sums of expressions. */
/*
- * GiNaC Copyright (C) 1999-2004 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 <iostream>
-#include <stdexcept>
-
#include "add.h"
#include "mul.h"
#include "archive.h"
#include "operators.h"
#include "matrix.h"
#include "utils.h"
+#include "clifford.h"
+#include "ncmul.h"
+#include "compiler.h"
+
+#include <iostream>
+#include <limits>
+#include <stdexcept>
+#include <string>
namespace GiNaC {
add::add()
{
- tinfo_key = TINFO_add;
}
//////////
add::add(const ex & lh, const ex & rh)
{
- tinfo_key = TINFO_add;
overall_coeff = _ex0;
construct_from_2_ex(lh,rh);
GINAC_ASSERT(is_canonical());
add::add(const exvector & v)
{
- tinfo_key = TINFO_add;
overall_coeff = _ex0;
construct_from_exvector(v);
GINAC_ASSERT(is_canonical());
add::add(const epvector & v)
{
- tinfo_key = TINFO_add;
overall_coeff = _ex0;
construct_from_epvector(v);
GINAC_ASSERT(is_canonical());
add::add(const epvector & v, const ex & oc)
{
- tinfo_key = TINFO_add;
overall_coeff = oc;
construct_from_epvector(v);
GINAC_ASSERT(is_canonical());
}
-add::add(std::auto_ptr<epvector> vp, const ex & oc)
+add::add(epvector && vp)
+{
+ overall_coeff = _ex0;
+ construct_from_epvector(std::move(vp));
+ GINAC_ASSERT(is_canonical());
+}
+
+add::add(epvector && vp, const ex & oc)
{
- tinfo_key = TINFO_add;
- GINAC_ASSERT(vp.get()!=0);
overall_coeff = oc;
- construct_from_epvector(*vp);
+ construct_from_epvector(std::move(vp));
GINAC_ASSERT(is_canonical());
}
// archiving
//////////
-DEFAULT_ARCHIVING(add)
+GINAC_BIND_UNARCHIVER(add);
//////////
// functions overriding virtual functions from base classes
}
// Then proceed with the remaining factors
- epvector::const_iterator it = seq.begin(), itend = seq.end();
- while (it != itend) {
- coeff = ex_to<numeric>(it->coeff);
+ for (auto & it : seq) {
+ coeff = ex_to<numeric>(it.coeff);
if (!first) {
if (coeff.csgn() == -1) c.s << '-'; else c.s << '+';
} else {
if (coeff.csgn() == -1) c.s << '-';
first = false;
}
- if (!coeff.is_equal(_num1) &&
- !coeff.is_equal(_num_1)) {
+ if (!coeff.is_equal(*_num1_p) &&
+ !coeff.is_equal(*_num_1_p)) {
if (coeff.is_rational()) {
if (coeff.is_negative())
(-coeff).print(c);
}
c.s << mul_sym;
}
- it->rest.print(c, precedence());
- ++it;
+ it.rest.print(c, precedence());
}
if (precedence() <= level)
if (precedence() <= level)
c.s << "(";
- // Print arguments, separated by "+"
- epvector::const_iterator it = seq.begin(), itend = seq.end();
- while (it != itend) {
+ // Print arguments, separated by "+" or "-"
+ char separator = ' ';
+ for (auto & it : seq) {
- // If the coefficient is -1, it is replaced by a single minus sign
- if (it->coeff.is_equal(_ex1)) {
- it->rest.print(c, precedence());
- } else if (it->coeff.is_equal(_ex_1)) {
- c.s << "-";
- it->rest.print(c, precedence());
- } else if (ex_to<numeric>(it->coeff).numer().is_equal(_num1)) {
- it->rest.print(c, precedence());
- c.s << "/";
- ex_to<numeric>(it->coeff).denom().print(c, precedence());
- } else if (ex_to<numeric>(it->coeff).numer().is_equal(_num_1)) {
- c.s << "-";
- it->rest.print(c, precedence());
- c.s << "/";
- ex_to<numeric>(it->coeff).denom().print(c, precedence());
+ // If the coefficient is negative, separator is "-"
+ if (it.coeff.is_equal(_ex_1) ||
+ ex_to<numeric>(it.coeff).numer().is_equal(*_num_1_p))
+ separator = '-';
+ c.s << separator;
+ if (it.coeff.is_equal(_ex1) || it.coeff.is_equal(_ex_1)) {
+ it.rest.print(c, precedence());
+ } else if (ex_to<numeric>(it.coeff).numer().is_equal(*_num1_p) ||
+ ex_to<numeric>(it.coeff).numer().is_equal(*_num_1_p))
+ {
+ it.rest.print(c, precedence());
+ c.s << '/';
+ ex_to<numeric>(it.coeff).denom().print(c, precedence());
} else {
- it->coeff.print(c, precedence());
- c.s << "*";
- it->rest.print(c, precedence());
+ it.coeff.print(c, precedence());
+ c.s << '*';
+ it.rest.print(c, precedence());
}
- // Separator is "+", except if the following expression would have a leading minus sign or the sign is sitting in parenthesis (as in a ctor)
- ++it;
- if (it != itend
- && (is_a<print_csrc_cl_N>(c) || !it->coeff.info(info_flags::real) // sign inside ctor arguments
- || !(it->coeff.info(info_flags::negative) || (it->coeff.is_equal(_num1) && is_exactly_a<numeric>(it->rest) && it->rest.info(info_flags::negative)))))
- c.s << "+";
+ separator = '+';
}
if (!overall_coeff.is_zero()) {
case info_flags::integer_polynomial:
case info_flags::cinteger_polynomial:
case info_flags::rational_polynomial:
+ case info_flags::real:
+ case info_flags::rational:
+ case info_flags::integer:
+ case info_flags::crational:
+ case info_flags::cinteger:
+ case info_flags::positive:
+ case info_flags::nonnegative:
+ case info_flags::posint:
+ case info_flags::nonnegint:
+ case info_flags::even:
case info_flags::crational_polynomial:
case info_flags::rational_function: {
- epvector::const_iterator i = seq.begin(), end = seq.end();
- while (i != end) {
- if (!(recombine_pair_to_ex(*i).info(inf)))
+ for (auto & i : seq) {
+ if (!(recombine_pair_to_ex(i).info(inf)))
return false;
- ++i;
}
+ if (overall_coeff.is_zero() && (inf == info_flags::positive || inf == info_flags::posint))
+ return true;
return overall_coeff.info(inf);
}
- case info_flags::algebraic: {
- epvector::const_iterator i = seq.begin(), end = seq.end();
- while (i != end) {
- if ((recombine_pair_to_ex(*i).info(inf)))
- return true;
- ++i;
- }
+ }
+ return inherited::info(inf);
+}
+
+bool add::is_polynomial(const ex & var) const
+{
+ for (auto & i : seq) {
+ if (!i.rest.is_polynomial(var)) {
return false;
}
}
- return inherited::info(inf);
+ return true;
}
int add::degree(const ex & s) const
{
- int deg = INT_MIN;
+ int deg = std::numeric_limits<int>::min();
if (!overall_coeff.is_zero())
deg = 0;
// Find maximum of degrees of individual terms
- epvector::const_iterator i = seq.begin(), end = seq.end();
- while (i != end) {
- int cur_deg = i->rest.degree(s);
+ for (auto & i : seq) {
+ int cur_deg = i.rest.degree(s);
if (cur_deg > deg)
deg = cur_deg;
- ++i;
}
return deg;
}
int add::ldegree(const ex & s) const
{
- int deg = INT_MAX;
+ int deg = std::numeric_limits<int>::max();
if (!overall_coeff.is_zero())
deg = 0;
// Find minimum of degrees of individual terms
- epvector::const_iterator i = seq.begin(), end = seq.end();
- while (i != end) {
- int cur_deg = i->rest.ldegree(s);
+ for (auto & i : seq) {
+ int cur_deg = i.rest.ldegree(s);
if (cur_deg < deg)
deg = cur_deg;
- ++i;
}
return deg;
}
ex add::coeff(const ex & s, int n) const
{
- std::auto_ptr<epvector> coeffseq(new epvector);
+ epvector coeffseq;
+ epvector coeffseq_cliff;
+ int rl = clifford_max_label(s);
+ bool do_clifford = (rl != -1);
+ bool nonscalar = false;
// Calculate sum of coefficients in each term
- epvector::const_iterator i = seq.begin(), end = seq.end();
- while (i != end) {
- ex restcoeff = i->rest.coeff(s, n);
- if (!restcoeff.is_zero())
- coeffseq->push_back(combine_ex_with_coeff_to_pair(restcoeff, i->coeff));
- ++i;
+ for (auto & i : seq) {
+ ex restcoeff = i.rest.coeff(s, n);
+ if (!restcoeff.is_zero()) {
+ if (do_clifford) {
+ if (clifford_max_label(restcoeff) == -1) {
+ coeffseq_cliff.push_back(expair(ncmul(restcoeff, dirac_ONE(rl)), i.coeff));
+ } else {
+ coeffseq_cliff.push_back(expair(restcoeff, i.coeff));
+ nonscalar = true;
+ }
+ }
+ coeffseq.push_back(expair(restcoeff, i.coeff));
+ }
}
- return (new add(coeffseq, n==0 ? overall_coeff : _ex0))->setflag(status_flags::dynallocated);
+ return dynallocate<add>(nonscalar ? std::move(coeffseq_cliff) : std::move(coeffseq),
+ n==0 ? overall_coeff : _ex0);
}
/** Perform automatic term rewriting rules in this class. In the following
* an expression that contain a plain number.
* - +(;c) -> c
* - +(x;0) -> x
- *
- * @param level cut-off in recursive evaluation */
-ex add::eval(int level) const
-{
- std::auto_ptr<epvector> evaled_seqp = evalchildren(level);
- if (evaled_seqp.get()) {
- // do more evaluation later
- return (new add(evaled_seqp, overall_coeff))->
- setflag(status_flags::dynallocated);
- }
-
-#ifdef DO_GINAC_ASSERT
- epvector::const_iterator i = seq.begin(), end = seq.end();
- while (i != end) {
- GINAC_ASSERT(!is_exactly_a<add>(i->rest));
- if (is_exactly_a<numeric>(i->rest))
- dbgprint();
- GINAC_ASSERT(!is_exactly_a<numeric>(i->rest));
- ++i;
- }
-#endif // def DO_GINAC_ASSERT
-
+ */
+ex add::eval() const
+{
if (flags & status_flags::evaluated) {
GINAC_ASSERT(seq.size()>0);
GINAC_ASSERT(seq.size()>1 || !overall_coeff.is_zero());
return *this;
}
-
- int seq_size = seq.size();
+
+ const epvector evaled = evalchildren();
+ if (unlikely(!evaled.empty())) {
+ // start over evaluating a new object
+ return dynallocate<add>(std::move(evaled), overall_coeff);
+ }
+
+#ifdef DO_GINAC_ASSERT
+ for (auto & i : seq) {
+ GINAC_ASSERT(!is_exactly_a<add>(i.rest));
+ }
+#endif // def DO_GINAC_ASSERT
+
+ size_t seq_size = seq.size();
if (seq_size == 0) {
// +(;c) -> c
return overall_coeff;
} else if (!overall_coeff.is_zero() && seq[0].rest.return_type() != return_types::commutative) {
throw (std::logic_error("add::eval(): sum of non-commutative objects has non-zero numeric term"));
}
+
return this->hold();
}
{
// Evaluate children first and add up all matrices. Stop if there's one
// term that is not a matrix.
- std::auto_ptr<epvector> s(new epvector);
- s->reserve(seq.size());
+ epvector s;
+ s.reserve(seq.size());
bool all_matrices = true;
bool first_term = true;
matrix sum;
- epvector::const_iterator it = seq.begin(), itend = seq.end();
- while (it != itend) {
- const ex &m = recombine_pair_to_ex(*it).evalm();
- s->push_back(split_ex_to_pair(m));
+ for (auto & it : seq) {
+ const ex &m = recombine_pair_to_ex(it).evalm();
+ s.push_back(split_ex_to_pair(m));
if (is_a<matrix>(m)) {
if (first_term) {
sum = ex_to<matrix>(m);
sum = sum.add(ex_to<matrix>(m));
} else
all_matrices = false;
- ++it;
}
if (all_matrices)
return sum + overall_coeff;
else
- return (new add(s, overall_coeff))->setflag(status_flags::dynallocated);
+ return dynallocate<add>(std::move(s), overall_coeff);
+}
+
+ex add::conjugate() const
+{
+ std::unique_ptr<exvector> v(nullptr);
+ for (size_t i=0; i<nops(); ++i) {
+ if (v) {
+ v->push_back(op(i).conjugate());
+ continue;
+ }
+ ex term = op(i);
+ ex ccterm = term.conjugate();
+ if (are_ex_trivially_equal(term, ccterm))
+ continue;
+ v.reset(new exvector);
+ v->reserve(nops());
+ for (size_t j=0; j<i; ++j)
+ v->push_back(op(j));
+ v->push_back(ccterm);
+ }
+ if (v) {
+ return add(std::move(*v));
+ }
+ return *this;
+}
+
+ex add::real_part() const
+{
+ epvector v;
+ v.reserve(seq.size());
+ for (auto & it : seq)
+ if (it.coeff.info(info_flags::real)) {
+ ex rp = it.rest.real_part();
+ if (!rp.is_zero())
+ v.push_back(expair(rp, it.coeff));
+ } else {
+ ex rp = recombine_pair_to_ex(it).real_part();
+ if (!rp.is_zero())
+ v.push_back(split_ex_to_pair(rp));
+ }
+ return dynallocate<add>(std::move(v), overall_coeff.real_part());
+}
+
+ex add::imag_part() const
+{
+ epvector v;
+ v.reserve(seq.size());
+ for (auto & it : seq)
+ if (it.coeff.info(info_flags::real)) {
+ ex ip = it.rest.imag_part();
+ if (!ip.is_zero())
+ v.push_back(expair(ip, it.coeff));
+ } else {
+ ex ip = recombine_pair_to_ex(it).imag_part();
+ if (!ip.is_zero())
+ v.push_back(split_ex_to_pair(ip));
+ }
+ return dynallocate<add>(std::move(v), overall_coeff.imag_part());
}
ex add::eval_ncmul(const exvector & v) const
* @see ex::diff */
ex add::derivative(const symbol & y) const
{
- std::auto_ptr<epvector> s(new epvector);
- s->reserve(seq.size());
+ epvector s;
+ s.reserve(seq.size());
// Only differentiate the "rest" parts of the expairs. This is faster
// than the default implementation in basic::derivative() although
// if performs the same function (differentiate each term).
- epvector::const_iterator i = seq.begin(), end = seq.end();
- while (i != end) {
- s->push_back(combine_ex_with_coeff_to_pair(i->rest.diff(y), i->coeff));
- ++i;
- }
- return (new add(s, _ex0))->setflag(status_flags::dynallocated);
+ for (auto & it : seq)
+ s.push_back(expair(it.rest.diff(y), it.coeff));
+
+ return dynallocate<add>(std::move(s));
}
int add::compare_same_type(const basic & other) const
else
return seq.begin()->rest.return_type();
}
-
-unsigned add::return_type_tinfo() const
+
+return_type_t add::return_type_tinfo() const
{
if (seq.empty())
- return tinfo_key;
+ return make_return_type_t<add>();
else
return seq.begin()->rest.return_type_tinfo();
}
-ex add::thisexpairseq(const epvector & v, const ex & oc) const
+// Note: do_index_renaming is ignored because it makes no sense for an add.
+ex add::thisexpairseq(const epvector & v, const ex & oc, bool do_index_renaming) const
{
- return (new add(v,oc))->setflag(status_flags::dynallocated);
+ return dynallocate<add>(v, oc);
}
-ex add::thisexpairseq(std::auto_ptr<epvector> vp, const ex & oc) const
+// Note: do_index_renaming is ignored because it makes no sense for an add.
+ex add::thisexpairseq(epvector && vp, const ex & oc, bool do_index_renaming) const
{
- return (new add(vp,oc))->setflag(status_flags::dynallocated);
+ return dynallocate<add>(std::move(vp), oc);
}
expair add::split_ex_to_pair(const ex & e) const
if (is_exactly_a<mul>(e)) {
const mul &mulref(ex_to<mul>(e));
const ex &numfactor = mulref.overall_coeff;
- mul *mulcopyp = new mul(mulref);
- mulcopyp->overall_coeff = _ex1;
- mulcopyp->clearflag(status_flags::evaluated);
- mulcopyp->clearflag(status_flags::hash_calculated);
- mulcopyp->setflag(status_flags::dynallocated);
- return expair(*mulcopyp,numfactor);
+ if (numfactor.is_equal(_ex1))
+ return expair(e, _ex1);
+ mul & mulcopy = dynallocate<mul>(mulref);
+ mulcopy.overall_coeff = _ex1;
+ mulcopy.clearflag(status_flags::evaluated | status_flags::hash_calculated);
+ return expair(mulcopy, numfactor);
}
return expair(e,_ex1);
}
expair add::combine_ex_with_coeff_to_pair(const ex & e,
- const ex & c) const
+ const ex & c) const
{
GINAC_ASSERT(is_exactly_a<numeric>(c));
if (is_exactly_a<mul>(e)) {
const mul &mulref(ex_to<mul>(e));
const ex &numfactor = mulref.overall_coeff;
- mul *mulcopyp = new mul(mulref);
- mulcopyp->overall_coeff = _ex1;
- mulcopyp->clearflag(status_flags::evaluated);
- mulcopyp->clearflag(status_flags::hash_calculated);
- mulcopyp->setflag(status_flags::dynallocated);
+ if (likely(numfactor.is_equal(_ex1)))
+ return expair(e, c);
+ mul & mulcopy = dynallocate<mul>(mulref);
+ mulcopy.overall_coeff = _ex1;
+ mulcopy.clearflag(status_flags::evaluated | status_flags::hash_calculated);
if (c.is_equal(_ex1))
- return expair(*mulcopyp, numfactor);
- else if (numfactor.is_equal(_ex1))
- return expair(*mulcopyp, c);
+ return expair(mulcopy, numfactor);
else
- return expair(*mulcopyp, ex_to<numeric>(numfactor).mul_dyn(ex_to<numeric>(c)));
+ return expair(mulcopy, ex_to<numeric>(numfactor).mul_dyn(ex_to<numeric>(c)));
} else if (is_exactly_a<numeric>(e)) {
if (c.is_equal(_ex1))
return expair(e, _ex1);
+ if (e.is_equal(_ex1))
+ return expair(c, _ex1);
return expair(ex_to<numeric>(e).mul_dyn(ex_to<numeric>(c)), _ex1);
}
return expair(e, c);
}
expair add::combine_pair_with_coeff_to_pair(const expair & p,
- const ex & c) const
+ const ex & c) const
{
GINAC_ASSERT(is_exactly_a<numeric>(p.coeff));
GINAC_ASSERT(is_exactly_a<numeric>(c));
if (is_exactly_a<numeric>(p.rest)) {
- GINAC_ASSERT(ex_to<numeric>(p.coeff).is_equal(_num1)); // should be normalized
+ GINAC_ASSERT(ex_to<numeric>(p.coeff).is_equal(*_num1_p)); // should be normalized
return expair(ex_to<numeric>(p.rest).mul_dyn(ex_to<numeric>(c)),_ex1);
}
return expair(p.rest,ex_to<numeric>(p.coeff).mul_dyn(ex_to<numeric>(c)));
}
-
+
ex add::recombine_pair_to_ex(const expair & p) const
{
- if (ex_to<numeric>(p.coeff).is_equal(_num1))
+ if (ex_to<numeric>(p.coeff).is_equal(*_num1_p))
return p.rest;
else
- return (new mul(p.rest,p.coeff))->setflag(status_flags::dynallocated);
+ return dynallocate<mul>(p.rest, p.coeff);
}
ex add::expand(unsigned options) const
{
- std::auto_ptr<epvector> vp = expandchildren(options);
- if (vp.get() == 0) {
- // the terms have not changed, so it is safe to declare this expanded
+ epvector expanded = expandchildren(options);
+ if (expanded.empty())
return (options == 0) ? setflag(status_flags::expanded) : *this;
- }
- return (new add(vp, overall_coeff))->setflag(status_flags::dynallocated | (options == 0 ? status_flags::expanded : 0));
+ return dynallocate<add>(std::move(expanded), overall_coeff).setflag(options == 0 ? status_flags::expanded : 0);
}
} // namespace GiNaC
git://www.ginac.de / ginac.git / blobdiff