#include "add.h"
#include "mul.h"
+#include "matrix.h"
#include "archive.h"
-#include "debugmsg.h"
#include "utils.h"
namespace GiNaC {
GINAC_IMPLEMENT_REGISTERED_CLASS(add, expairseq)
//////////
-// default constructor, destructor, copy constructor assignment operator and helpers
+// default ctor, dtor, copy ctor, assignment operator and helpers
//////////
add::add()
{
- debugmsg("add default constructor",LOGLEVEL_CONSTRUCT);
tinfo_key = TINFO_add;
}
add::add(const ex & lh, const ex & rh)
{
- debugmsg("add constructor from ex,ex",LOGLEVEL_CONSTRUCT);
tinfo_key = TINFO_add;
- overall_coeff = _ex0();
+ overall_coeff = _ex0;
construct_from_2_ex(lh,rh);
GINAC_ASSERT(is_canonical());
}
add::add(const exvector & v)
{
- debugmsg("add constructor from exvector",LOGLEVEL_CONSTRUCT);
tinfo_key = TINFO_add;
- overall_coeff = _ex0();
+ overall_coeff = _ex0;
construct_from_exvector(v);
GINAC_ASSERT(is_canonical());
}
add::add(const epvector & v)
{
- debugmsg("add constructor from epvector",LOGLEVEL_CONSTRUCT);
tinfo_key = TINFO_add;
- overall_coeff = _ex0();
+ overall_coeff = _ex0;
construct_from_epvector(v);
GINAC_ASSERT(is_canonical());
}
add::add(const epvector & v, const ex & oc)
{
- debugmsg("add constructor from epvector,ex",LOGLEVEL_CONSTRUCT);
tinfo_key = TINFO_add;
overall_coeff = oc;
construct_from_epvector(v);
add::add(epvector * vp, const ex & oc)
{
- debugmsg("add constructor from epvector *,ex",LOGLEVEL_CONSTRUCT);
tinfo_key = TINFO_add;
GINAC_ASSERT(vp!=0);
overall_coeff = oc;
DEFAULT_ARCHIVING(add)
//////////
-// functions overriding virtual functions from bases classes
+// functions overriding virtual functions from base classes
//////////
// public
-void add::print(std::ostream & os, unsigned upper_precedence) const
+void add::print(const print_context & c, unsigned level) const
{
- debugmsg("add print",LOGLEVEL_PRINT);
- if (precedence<=upper_precedence) os << "(";
- numeric coeff;
- bool first = true;
- // first print the overall numeric coefficient, if present:
- if (!overall_coeff.is_zero()) {
- os << overall_coeff;
- first = false;
- }
- // then proceed with the remaining factors:
- for (epvector::const_iterator cit=seq.begin(); cit!=seq.end(); ++cit) {
- coeff = ex_to_numeric(cit->coeff);
- if (!first) {
- if (coeff.csgn()==-1) os << '-'; else os << '+';
- } else {
- if (coeff.csgn()==-1) os << '-';
+ if (is_a<print_tree>(c)) {
+
+ inherited::print(c, level);
+
+ } else if (is_a<print_csrc>(c)) {
+
+ 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.compare(_num1) == 0) {
+ it->rest.print(c, precedence());
+ } else if (it->coeff.compare(_num_1) == 0) {
+ c.s << "-";
+ it->rest.print(c, precedence());
+ } else if (ex_to<numeric>(it->coeff).numer().compare(_num1) == 0) {
+ it->rest.print(c, precedence());
+ c.s << "/";
+ ex_to<numeric>(it->coeff).denom().print(c, precedence());
+ } else if (ex_to<numeric>(it->coeff).numer().compare(_num_1) == 0) {
+ c.s << "-";
+ 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());
+ }
+
+ // Separator is "+", except if the following expression would have a leading minus sign
+ ++it;
+ if (it != itend && !(it->coeff.compare(_num0) < 0 || (it->coeff.compare(_num1) == 0 && is_exactly_a<numeric>(it->rest) && it->rest.compare(_num0) < 0)))
+ c.s << "+";
+ }
+
+ if (!overall_coeff.is_zero()) {
+ if (overall_coeff.info(info_flags::positive))
+ 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 << ')';
+
+ } else {
+
+ if (precedence() <= level) {
+ if (is_a<print_latex>(c))
+ c.s << "{(";
+ else
+ c.s << "(";
+ }
+
+ numeric coeff;
+ bool first = true;
+
+ // 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;
}
- if (!coeff.is_equal(_num1()) &&
- !coeff.is_equal(_num_1())) {
- if (coeff.is_rational()) {
- if (coeff.is_negative())
- os << -coeff;
- else
- os << coeff;
+
+ // 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)
- (-coeff).print(os, precedence);
+ 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
- coeff.print(os, precedence);
+ c.s << '*';
}
- os << '*';
+ it->rest.print(c, precedence());
+ ++it;
}
- cit->rest.print(os, precedence);
- }
- if (precedence<=upper_precedence) os << ")";
-}
-
-void add::printraw(std::ostream & os) const
-{
- debugmsg("add printraw",LOGLEVEL_PRINT);
-
- os << "+(";
- for (epvector::const_iterator it=seq.begin(); it!=seq.end(); ++it) {
- os << "(";
- (*it).rest.bp->printraw(os);
- os << ",";
- (*it).coeff.bp->printraw(os);
- os << "),";
- }
- os << ",hash=" << hashvalue << ",flags=" << flags;
- os << ")";
-}
-void add::printcsrc(std::ostream & os, unsigned type, unsigned upper_precedence) const
-{
- debugmsg("add print csrc", LOGLEVEL_PRINT);
- if (precedence <= upper_precedence)
- os << "(";
-
- // Print arguments, separated by "+"
- epvector::const_iterator it = seq.begin();
- epvector::const_iterator itend = seq.end();
- while (it != itend) {
-
- // If the coefficient is -1, it is replaced by a single minus sign
- if (it->coeff.compare(_num1()) == 0) {
- it->rest.bp->printcsrc(os, type, precedence);
- } else if (it->coeff.compare(_num_1()) == 0) {
- os << "-";
- it->rest.bp->printcsrc(os, type, precedence);
- } else if (ex_to_numeric(it->coeff).numer().compare(_num1()) == 0) {
- it->rest.bp->printcsrc(os, type, precedence);
- os << "/";
- ex_to_numeric(it->coeff).denom().printcsrc(os, type, precedence);
- } else if (ex_to_numeric(it->coeff).numer().compare(_num_1()) == 0) {
- os << "-";
- it->rest.bp->printcsrc(os, type, precedence);
- os << "/";
- ex_to_numeric(it->coeff).denom().printcsrc(os, type, precedence);
- } else {
- it->coeff.bp->printcsrc(os, type, precedence);
- os << "*";
- it->rest.bp->printcsrc(os, type, precedence);
+ if (precedence() <= level) {
+ if (is_a<print_latex>(c))
+ c.s << ")}";
+ else
+ c.s << ")";
}
-
- // Separator is "+", except if the following expression would have a leading minus sign
- it++;
- if (it != itend && !(it->coeff.compare(_num0()) < 0 || (it->coeff.compare(_num1()) == 0 && is_ex_exactly_of_type(it->rest, numeric) && it->rest.compare(_num0()) < 0)))
- os << "+";
- }
-
- if (!overall_coeff.is_zero()) {
- if (overall_coeff.info(info_flags::positive)) os << '+';
- overall_coeff.bp->printcsrc(os,type,precedence);
}
-
- if (precedence <= upper_precedence)
- os << ")";
}
bool add::info(unsigned inf) const
case info_flags::rational_polynomial:
case info_flags::crational_polynomial:
case info_flags::rational_function: {
- for (epvector::const_iterator i=seq.begin(); i!=seq.end(); ++i) {
+ epvector::const_iterator i = seq.begin(), end = seq.end();
+ while (i != end) {
if (!(recombine_pair_to_ex(*i).info(inf)))
return false;
+ ++i;
}
return overall_coeff.info(inf);
}
case info_flags::algebraic: {
- for (epvector::const_iterator i=seq.begin(); i!=seq.end(); ++i) {
+ epvector::const_iterator i = seq.begin(), end = seq.end();
+ while (i != end) {
if ((recombine_pair_to_ex(*i).info(inf)))
return true;
+ ++i;
}
return false;
}
return inherited::info(inf);
}
-int add::degree(const symbol & s) const
+int add::degree(const ex & s) const
{
int deg = INT_MIN;
- if (!overall_coeff.is_equal(_ex0()))
+ if (!overall_coeff.is_zero())
deg = 0;
- int cur_deg;
- for (epvector::const_iterator cit=seq.begin(); cit!=seq.end(); ++cit) {
- cur_deg = (*cit).rest.degree(s);
- if (cur_deg>deg)
+ // 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);
+ if (cur_deg > deg)
deg = cur_deg;
+ ++i;
}
return deg;
}
-int add::ldegree(const symbol & s) const
+int add::ldegree(const ex & s) const
{
int deg = INT_MAX;
- if (!overall_coeff.is_equal(_ex0()))
+ if (!overall_coeff.is_zero())
deg = 0;
- int cur_deg;
- for (epvector::const_iterator cit=seq.begin(); cit!=seq.end(); ++cit) {
- cur_deg = (*cit).rest.ldegree(s);
- if (cur_deg<deg) deg=cur_deg;
+ // 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);
+ if (cur_deg < deg)
+ deg = cur_deg;
+ ++i;
}
return deg;
}
-ex add::coeff(const symbol & s, int n) const
+ex add::coeff(const ex & s, int n) const
{
- epvector coeffseq;
- coeffseq.reserve(seq.size());
-
- epvector::const_iterator it=seq.begin();
- while (it!=seq.end()) {
- coeffseq.push_back(combine_ex_with_coeff_to_pair((*it).rest.coeff(s,n),
- (*it).coeff));
- ++it;
+ epvector *coeffseq = new epvector();
+
+ // 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;
}
- if (n==0) {
- return (new add(coeffseq,overall_coeff))->setflag(status_flags::dynallocated);
- }
- return (new add(coeffseq))->setflag(status_flags::dynallocated);
+
+ return (new add(coeffseq, n==0 ? overall_coeff : _ex0))->setflag(status_flags::dynallocated);
}
+/** Perform automatic term rewriting rules in this class. In the following
+ * x stands for a symbolic variables of type ex and c stands for such
+ * an expression that contain a plain number.
+ * - +(;c) -> c
+ * - +(x;1) -> x
+ *
+ * @param level cut-off in recursive evaluation */
ex add::eval(int level) const
{
- // simplifications: +(;c) -> c
- // +(x;1) -> x
-
- debugmsg("add eval",LOGLEVEL_MEMBER_FUNCTION);
-
- epvector * evaled_seqp = evalchildren(level);
- if (evaled_seqp!=0) {
+ epvector *evaled_seqp = evalchildren(level);
+ if (evaled_seqp) {
// do more evaluation later
- return (new add(evaled_seqp,overall_coeff))->
+ return (new add(evaled_seqp, overall_coeff))->
setflag(status_flags::dynallocated);
}
#ifdef DO_GINAC_ASSERT
- for (epvector::const_iterator cit=seq.begin(); cit!=seq.end(); ++cit) {
- GINAC_ASSERT(!is_ex_exactly_of_type((*cit).rest,add));
- if (is_ex_exactly_of_type((*cit).rest,numeric))
+ 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_ex_exactly_of_type((*cit).rest,numeric));
+ GINAC_ASSERT(!is_exactly_a<numeric>(i->rest));
+ ++i;
}
#endif // def DO_GINAC_ASSERT
}
int seq_size = seq.size();
- if (seq_size==0) {
+ if (seq_size == 0) {
// +(;c) -> c
return overall_coeff;
- } else if ((seq_size==1) && overall_coeff.is_equal(_ex0())) {
+ } else if (seq_size == 1 && overall_coeff.is_zero()) {
// +(x;0) -> x
return recombine_pair_to_ex(*(seq.begin()));
+ } 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();
}
+ex add::evalm(void) const
+{
+ // Evaluate children first and add up all matrices. Stop if there's one
+ // term that is not a matrix.
+ epvector *s = new epvector;
+ 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));
+ if (is_ex_of_type(m, matrix)) {
+ if (first_term) {
+ sum = ex_to<matrix>(m);
+ first_term = false;
+ } else
+ sum = sum.add(ex_to<matrix>(m));
+ } else
+ all_matrices = false;
+ ++it;
+ }
+
+ if (all_matrices) {
+ delete s;
+ return sum + overall_coeff;
+ } else
+ return (new add(s, overall_coeff))->setflag(status_flags::dynallocated);
+}
+
ex add::simplify_ncmul(const exvector & v) const
{
- if (seq.size()==0) {
+ if (seq.empty())
return inherited::simplify_ncmul(v);
- }
- return (*seq.begin()).rest.simplify_ncmul(v);
+ else
+ return seq.begin()->rest.simplify_ncmul(v);
}
// protected
/** Implementation of ex::diff() for a sum. It differentiates each term.
* @see ex::diff */
-ex add::derivative(const symbol & s) const
+ex add::derivative(const symbol & y) const
{
- // D(a+b+c)=D(a)+D(b)+D(c)
- return (new add(diffchildren(s)))->setflag(status_flags::dynallocated);
+ epvector *s = new epvector();
+ 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);
}
int add::compare_same_type(const basic & other) const
unsigned add::return_type(void) const
{
- if (seq.size()==0) {
+ if (seq.empty())
return return_types::commutative;
- }
- return (*seq.begin()).rest.return_type();
+ else
+ return seq.begin()->rest.return_type();
}
unsigned add::return_type_tinfo(void) const
{
- if (seq.size()==0) {
+ if (seq.empty())
return tinfo_key;
- }
- return (*seq.begin()).rest.return_type_tinfo();
+ else
+ return seq.begin()->rest.return_type_tinfo();
}
ex add::thisexpairseq(const epvector & v, const ex & oc) const
expair add::split_ex_to_pair(const ex & e) const
{
if (is_ex_exactly_of_type(e,mul)) {
- const mul &mulref = ex_to_mul(e);
- ex numfactor = mulref.overall_coeff;
+ const mul &mulref(ex_to<mul>(e));
+ const ex &numfactor = mulref.overall_coeff;
mul *mulcopyp = new mul(mulref);
- mulcopyp->overall_coeff = _ex1();
+ mulcopyp->overall_coeff = _ex1;
mulcopyp->clearflag(status_flags::evaluated);
mulcopyp->clearflag(status_flags::hash_calculated);
mulcopyp->setflag(status_flags::dynallocated);
return expair(*mulcopyp,numfactor);
}
- return expair(e,_ex1());
+ return expair(e,_ex1);
}
expair add::combine_ex_with_coeff_to_pair(const ex & e,
const ex & c) const
{
- GINAC_ASSERT(is_ex_exactly_of_type(c, numeric));
+ GINAC_ASSERT(is_exactly_a<numeric>(c));
if (is_ex_exactly_of_type(e, mul)) {
- const mul &mulref = ex_to_mul(e);
- ex numfactor = mulref.overall_coeff;
+ const mul &mulref(ex_to<mul>(e));
+ const ex &numfactor = mulref.overall_coeff;
mul *mulcopyp = new mul(mulref);
- mulcopyp->overall_coeff = _ex1();
+ 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 (are_ex_trivially_equal(c, _ex1))
return expair(*mulcopyp, numfactor);
- else if (are_ex_trivially_equal(numfactor, _ex1()))
+ 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)));
+ 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()))
- return expair(e, _ex1());
- return expair(ex_to_numeric(e).mul_dyn(ex_to_numeric(c)), _ex1());
+ if (are_ex_trivially_equal(c, _ex1))
+ return expair(e, _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
{
- GINAC_ASSERT(is_ex_exactly_of_type(p.coeff,numeric));
- GINAC_ASSERT(is_ex_exactly_of_type(c,numeric));
+ 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
- return expair(ex_to_numeric(p.rest).mul_dyn(ex_to_numeric(c)),_ex1());
+ GINAC_ASSERT(ex_to<numeric>(p.coeff).is_equal(_num1)); // 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)));
+ 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))
return p.rest;
else
- return p.rest*p.coeff;
+ return (new mul(p.rest,p.coeff))->setflag(status_flags::dynallocated);
}
ex add::expand(unsigned options) const
{
- if (flags & status_flags::expanded)
- return *this;
-
- epvector * vp = expandchildren(options);
- if (vp==0) {
+ epvector *vp = expandchildren(options);
+ if (vp == NULL) {
// the terms have not changed, so it is safe to declare this expanded
- setflag(status_flags::expanded);
- return *this;
+ return (options == 0) ? setflag(status_flags::expanded) : *this;
}
- return (new add(vp,overall_coeff))->setflag(status_flags::expanded | status_flags::dynallocated);
+ return (new add(vp, overall_coeff))->setflag(status_flags::dynallocated | (options == 0 ? status_flags::expanded : 0));
}
-//////////
-// static member variables
-//////////
-
-// protected
-
-unsigned add::precedence = 40;
-
} // namespace GiNaC
git://www.ginac.de / ginac.git / blobdiff