* Implementation of GiNaC's sums of expressions. */
/*
- * GiNaC Copyright (C) 1999-2003 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2015 Johannes Gutenberg University Mainz, Germany
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
- * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
+ * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
*/
-#include <iostream>
-#include <stdexcept>
-
#include "add.h"
#include "mul.h"
-#include "matrix.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 {
-GINAC_IMPLEMENT_REGISTERED_CLASS(add, expairseq)
+GINAC_IMPLEMENT_REGISTERED_CLASS_OPT(add, expairseq,
+ print_func<print_context>(&add::do_print).
+ print_func<print_latex>(&add::do_print_latex).
+ print_func<print_csrc>(&add::do_print_csrc).
+ print_func<print_tree>(&add::do_print_tree).
+ print_func<print_python_repr>(&add::do_print_python_repr))
//////////
-// default ctor, dtor, copy ctor, assignment operator and helpers
+// default constructor
//////////
add::add()
{
- tinfo_key = TINFO_add;
}
-DEFAULT_COPY(add)
-DEFAULT_DESTROY(add)
-
//////////
// other constructors
//////////
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(epvector * vp, const ex & oc)
+add::add(std::auto_ptr<epvector> vp, const ex & oc)
{
- tinfo_key = TINFO_add;
- GINAC_ASSERT(vp!=0);
+ GINAC_ASSERT(vp.get()!=0);
overall_coeff = oc;
construct_from_epvector(*vp);
- delete vp;
GINAC_ASSERT(is_canonical());
}
// archiving
//////////
-DEFAULT_ARCHIVING(add)
+GINAC_BIND_UNARCHIVER(add);
//////////
// functions overriding virtual functions from base classes
// public
-void add::print(const print_context & c, unsigned level) const
+void add::print_add(const print_context & c, const char *openbrace, const char *closebrace, const char *mul_sym, unsigned level) const
{
- if (is_a<print_tree>(c)) {
+ if (precedence() <= level)
+ c.s << openbrace << '(';
- inherited::print(c, level);
+ numeric coeff;
+ bool first = true;
- } else if (is_a<print_csrc>(c)) {
+ // First print the overall numeric coefficient, if present
+ if (!overall_coeff.is_zero()) {
+ overall_coeff.print(c, 0);
+ first = false;
+ }
- if (precedence() <= level)
- c.s << "(";
-
- // Print arguments, separated by "+"
- epvector::const_iterator it = seq.begin(), itend = seq.end();
- while (it != itend) {
-
- // 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());
+ // Then proceed with the remaining factors
+ epvector::const_iterator it = seq.begin(), itend = seq.end();
+ while (it != itend) {
+ 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_p) &&
+ !coeff.is_equal(*_num_1_p)) {
+ if (coeff.is_rational()) {
+ if (coeff.is_negative())
+ (-coeff).print(c);
+ else
+ coeff.print(c);
} else {
- it->coeff.print(c, precedence());
- c.s << "*";
- it->rest.print(c, precedence());
+ if (coeff.csgn() == -1)
+ (-coeff).print(c, precedence());
+ else
+ coeff.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 << "+";
- }
-
- if (!overall_coeff.is_zero()) {
- if (overall_coeff.info(info_flags::positive)
- || is_a<print_csrc_cl_N>(c) || !overall_coeff.info(info_flags::real)) // sign inside ctor argument
- c.s << '+';
- overall_coeff.print(c, precedence());
- }
-
- if (precedence() <= level)
- c.s << ")";
-
- } else if (is_a<print_python_repr>(c)) {
-
- c.s << class_name() << '(';
- op(0).print(c);
- for (unsigned i=1; i<nops(); ++i) {
- c.s << ',';
- op(i).print(c);
+ c.s << mul_sym;
}
- c.s << ')';
-
- } else {
+ it->rest.print(c, precedence());
+ ++it;
+ }
- if (precedence() <= level) {
- if (is_a<print_latex>(c))
- c.s << "{(";
- else
- c.s << "(";
- }
+ if (precedence() <= level)
+ c.s << ')' << closebrace;
+}
- numeric coeff;
- bool first = true;
+void add::do_print(const print_context & c, unsigned level) const
+{
+ print_add(c, "", "", "*", level);
+}
- // First print the overall numeric coefficient, if present
- if (!overall_coeff.is_zero()) {
- if (!is_a<print_tree>(c))
- overall_coeff.print(c, 0);
- else
- overall_coeff.print(c, precedence());
- first = false;
- }
+void add::do_print_latex(const print_latex & c, unsigned level) const
+{
+ print_add(c, "{", "}", " ", level);
+}
- // Then proceed with the remaining factors
- epvector::const_iterator it = seq.begin(), itend = seq.end();
- while (it != itend) {
- 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_rational()) {
- if (coeff.is_negative())
- (-coeff).print(c);
- else
- coeff.print(c);
- } else {
- if (coeff.csgn() == -1)
- (-coeff).print(c, precedence());
- else
- coeff.print(c, precedence());
- }
- if (is_a<print_latex>(c))
- c.s << ' ';
- else
- c.s << '*';
- }
+void add::do_print_csrc(const print_csrc & c, unsigned level) const
+{
+ if (precedence() <= level)
+ c.s << "(";
+
+ // Print arguments, separated by "+" or "-"
+ epvector::const_iterator it = seq.begin(), itend = seq.end();
+ char separator = ' ';
+ while (it != itend) {
+
+ // 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;
}
+
+ ++it;
+ separator = '+';
+ }
+
+ if (!overall_coeff.is_zero()) {
+ if (overall_coeff.info(info_flags::positive)
+ || is_a<print_csrc_cl_N>(c) || !overall_coeff.info(info_flags::real)) // sign inside ctor argument
+ c.s << '+';
+ overall_coeff.print(c, precedence());
+ }
+
+ if (precedence() <= level)
+ c.s << ")";
+}
- if (precedence() <= level) {
- if (is_a<print_latex>(c))
- c.s << ")}";
- else
- c.s << ")";
- }
+void add::do_print_python_repr(const print_python_repr & c, unsigned level) const
+{
+ c.s << class_name() << '(';
+ op(0).print(c);
+ for (size_t i=1; i<nops(); ++i) {
+ c.s << ',';
+ op(i).print(c);
}
+ c.s << ')';
}
bool add::info(unsigned inf) const
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();
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: {
return inherited::info(inf);
}
+bool add::is_polynomial(const ex & var) const
+{
+ for (epvector::const_iterator i=seq.begin(); i!=seq.end(); ++i) {
+ if (!(i->rest).is_polynomial(var)) {
+ return false;
+ }
+ }
+ 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;
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;
ex add::coeff(const ex & s, int n) const
{
- epvector *coeffseq = new epvector();
+ std::auto_ptr<epvector> coeffseq(new epvector);
+ std::auto_ptr<epvector> coeffseq_cliff(new epvector);
+ 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())
+ if (!restcoeff.is_zero()) {
+ if (do_clifford) {
+ if (clifford_max_label(restcoeff) == -1) {
+ coeffseq_cliff->push_back(combine_ex_with_coeff_to_pair(ncmul(restcoeff, dirac_ONE(rl)), i->coeff));
+ } else {
+ coeffseq_cliff->push_back(combine_ex_with_coeff_to_pair(restcoeff, i->coeff));
+ nonscalar = true;
+ }
+ }
coeffseq->push_back(combine_ex_with_coeff_to_pair(restcoeff, i->coeff));
+ }
++i;
}
- return (new add(coeffseq, n==0 ? overall_coeff : _ex0))->setflag(status_flags::dynallocated);
+ return (new add(nonscalar ? coeffseq_cliff : coeffseq,
+ n==0 ? overall_coeff : _ex0))->setflag(status_flags::dynallocated);
}
/** Perform automatic term rewriting rules in this class. In the following
* @param level cut-off in recursive evaluation */
ex add::eval(int level) const
{
- epvector *evaled_seqp = evalchildren(level);
- if (evaled_seqp) {
+ std::auto_ptr<epvector> evaled_seqp = evalchildren(level);
+ if (unlikely(evaled_seqp.get() != 0)) {
// do more evaluation later
return (new add(evaled_seqp, overall_coeff))->
setflag(status_flags::dynallocated);
epvector::const_iterator i = seq.begin(), end = seq.end();
while (i != end) {
GINAC_ASSERT(!is_exactly_a<add>(i->rest));
- if (is_ex_exactly_of_type(i->rest,numeric))
- dbgprint();
- GINAC_ASSERT(!is_exactly_a<numeric>(i->rest));
++i;
}
#endif // def DO_GINAC_ASSERT
} 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"));
}
+
+ // if any terms in the sum still are purely numeric, then they are more
+ // appropriately collected into the overall coefficient
+ epvector::const_iterator last = seq.end();
+ epvector::const_iterator j = seq.begin();
+ int terms_to_collect = 0;
+ while (j != last) {
+ if (unlikely(is_a<numeric>(j->rest)))
+ ++terms_to_collect;
+ ++j;
+ }
+ if (terms_to_collect) {
+ std::auto_ptr<epvector> s(new epvector);
+ s->reserve(seq_size - terms_to_collect);
+ numeric oc = *_num0_p;
+ j = seq.begin();
+ while (j != last) {
+ if (unlikely(is_a<numeric>(j->rest)))
+ oc = oc.add(ex_to<numeric>(j->rest).mul(ex_to<numeric>(j->coeff)));
+ else
+ s->push_back(*j);
+ ++j;
+ }
+ return (new add(s, ex_to<numeric>(overall_coeff).add_dyn(oc)))
+ ->setflag(status_flags::dynallocated);
+ }
+
return this->hold();
}
-ex add::evalm(void) const
+ex add::evalm() const
{
// Evaluate children first and add up all matrices. Stop if there's one
// term that is not a matrix.
- epvector *s = new epvector;
+ std::auto_ptr<epvector> s(new epvector);
s->reserve(seq.size());
bool all_matrices = true;
while (it != itend) {
const ex &m = recombine_pair_to_ex(*it).evalm();
s->push_back(split_ex_to_pair(m));
- if (is_ex_of_type(m, matrix)) {
+ if (is_a<matrix>(m)) {
if (first_term) {
sum = ex_to<matrix>(m);
first_term = false;
++it;
}
- if (all_matrices) {
- delete s;
+ if (all_matrices)
return sum + overall_coeff;
- } else
+ else
return (new add(s, overall_coeff))->setflag(status_flags::dynallocated);
}
-ex add::simplify_ncmul(const exvector & v) const
+ex add::conjugate() const
+{
+ exvector *v = 0;
+ 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 = new exvector;
+ v->reserve(nops());
+ for (size_t j=0; j<i; ++j)
+ v->push_back(op(j));
+ v->push_back(ccterm);
+ }
+ if (v) {
+ ex result = add(*v);
+ delete v;
+ return result;
+ }
+ return *this;
+}
+
+ex add::real_part() const
+{
+ epvector v;
+ v.reserve(seq.size());
+ for (epvector::const_iterator i=seq.begin(); i!=seq.end(); ++i)
+ if ((i->coeff).info(info_flags::real)) {
+ ex rp = (i->rest).real_part();
+ if (!rp.is_zero())
+ v.push_back(expair(rp, i->coeff));
+ } else {
+ ex rp=recombine_pair_to_ex(*i).real_part();
+ if (!rp.is_zero())
+ v.push_back(split_ex_to_pair(rp));
+ }
+ return (new add(v, overall_coeff.real_part()))
+ -> setflag(status_flags::dynallocated);
+}
+
+ex add::imag_part() const
+{
+ epvector v;
+ v.reserve(seq.size());
+ for (epvector::const_iterator i=seq.begin(); i!=seq.end(); ++i)
+ if ((i->coeff).info(info_flags::real)) {
+ ex ip = (i->rest).imag_part();
+ if (!ip.is_zero())
+ v.push_back(expair(ip, i->coeff));
+ } else {
+ ex ip=recombine_pair_to_ex(*i).imag_part();
+ if (!ip.is_zero())
+ v.push_back(split_ex_to_pair(ip));
+ }
+ return (new add(v, overall_coeff.imag_part()))
+ -> setflag(status_flags::dynallocated);
+}
+
+ex add::eval_ncmul(const exvector & v) const
{
if (seq.empty())
- return inherited::simplify_ncmul(v);
+ return inherited::eval_ncmul(v);
else
- return seq.begin()->rest.simplify_ncmul(v);
+ return seq.begin()->rest.eval_ncmul(v);
}
// protected
* @see ex::diff */
ex add::derivative(const symbol & y) const
{
- epvector *s = new epvector();
+ std::auto_ptr<epvector> s(new epvector);
s->reserve(seq.size());
// Only differentiate the "rest" parts of the expairs. This is faster
return inherited::compare_same_type(other);
}
-bool add::is_equal_same_type(const basic & other) const
-{
- return inherited::is_equal_same_type(other);
-}
-
-unsigned add::return_type(void) const
+unsigned add::return_type() const
{
if (seq.empty())
return return_types::commutative;
else
return seq.begin()->rest.return_type();
}
-
-unsigned add::return_type_tinfo(void) 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);
}
-ex add::thisexpairseq(epvector * vp, const ex & oc) const
+// Note: do_index_renaming is ignored because it makes no sense for an add.
+ex add::thisexpairseq(std::auto_ptr<epvector> vp, const ex & oc, bool do_index_renaming) const
{
return (new add(vp,oc))->setflag(status_flags::dynallocated);
}
expair add::split_ex_to_pair(const ex & e) const
{
- if (is_ex_exactly_of_type(e,mul)) {
+ if (is_exactly_a<mul>(e)) {
const mul &mulref(ex_to<mul>(e));
const ex &numfactor = mulref.overall_coeff;
+ if (numfactor.is_equal(_ex1))
+ return expair(e, _ex1);
mul *mulcopyp = new mul(mulref);
mulcopyp->overall_coeff = _ex1;
mulcopyp->clearflag(status_flags::evaluated);
}
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_ex_exactly_of_type(e, mul)) {
+ if (is_exactly_a<mul>(e)) {
const mul &mulref(ex_to<mul>(e));
const ex &numfactor = mulref.overall_coeff;
+ if (numfactor.is_equal(_ex1))
+ return expair(e, c);
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 (are_ex_trivially_equal(c, _ex1))
+ if (c.is_equal(_ex1))
return expair(*mulcopyp, numfactor);
- else if (are_ex_trivially_equal(numfactor, _ex1))
- return expair(*mulcopyp, c);
else
return expair(*mulcopyp, ex_to<numeric>(numfactor).mul_dyn(ex_to<numeric>(c)));
- } else if (is_ex_exactly_of_type(e, numeric)) {
- if (are_ex_trivially_equal(c, _ex1))
+ } 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_ex_exactly_of_type(p.rest,numeric)) {
- GINAC_ASSERT(ex_to<numeric>(p.coeff).is_equal(_num1)); // should be normalized
+ if (is_exactly_a<numeric>(p.rest)) {
+ 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);
ex add::expand(unsigned options) const
{
- epvector *vp = expandchildren(options);
- if (vp == NULL) {
+ std::auto_ptr<epvector> vp = expandchildren(options);
+ if (vp.get() == 0) {
// the terms have not changed, so it is safe to declare this expanded
return (options == 0) ? setflag(status_flags::expanded) : *this;
}
git://www.ginac.de / ginac.git / blobdiff