* Implementation of GiNaC's sums of expressions. */
/*
- * GiNaC Copyright (C) 1999-2000 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2001 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
#include "debugmsg.h"
#include "utils.h"
-#ifndef NO_NAMESPACE_GINAC
namespace GiNaC {
-#endif // ndef NO_NAMESPACE_GINAC
GINAC_IMPLEMENT_REGISTERED_CLASS(add, expairseq)
// default constructor, destructor, copy constructor assignment operator and helpers
//////////
-// public
-
add::add()
{
debugmsg("add default constructor",LOGLEVEL_CONSTRUCT);
tinfo_key = TINFO_add;
}
-add::~add()
-{
- debugmsg("add destructor",LOGLEVEL_DESTRUCT);
- destroy(false);
-}
-
-add::add(const add & other)
-{
- debugmsg("add copy constructor",LOGLEVEL_CONSTRUCT);
- copy(other);
-}
-
-const add & add::operator=(const add & other)
-{
- debugmsg("add operator=",LOGLEVEL_ASSIGNMENT);
- if (this != &other) {
- destroy(true);
- copy(other);
- }
- return *this;
-}
-
-// protected
-
-void add::copy(const add & other)
-{
- inherited::copy(other);
-}
-
-void add::destroy(bool call_parent)
-{
- if (call_parent) inherited::destroy(call_parent);
-}
+DEFAULT_COPY(add)
+DEFAULT_DESTROY(add)
//////////
// other constructors
GINAC_ASSERT(is_canonical());
}
-/*
-add::add(const epvector & v, bool do_not_canonicalize)
-{
- debugmsg("add constructor from epvector,bool",LOGLEVEL_CONSTRUCT);
- tinfo_key = TINFO_add;
- if (do_not_canonicalize) {
- seq=v;
-#ifdef EXPAIRSEQ_USE_HASHTAB
- combine_same_terms(); // to build hashtab
-#endif // def EXPAIRSEQ_USE_HASHTAB
- } else {
- construct_from_epvector(v);
- }
- GINAC_ASSERT(is_canonical());
-}
-*/
-
add::add(const epvector & v)
{
debugmsg("add constructor from epvector",LOGLEVEL_CONSTRUCT);
// archiving
//////////
-/** Construct object from archive_node. */
-add::add(const archive_node &n, const lst &sym_lst) : inherited(n, sym_lst)
-{
- debugmsg("add constructor from archive_node", LOGLEVEL_CONSTRUCT);
-}
-
-/** Unarchive the object. */
-ex add::unarchive(const archive_node &n, const lst &sym_lst)
-{
- return (new add(n, sym_lst))->setflag(status_flags::dynallocated);
-}
-
-/** Archive the object. */
-void add::archive(archive_node &n) const
-{
- inherited::archive(n);
-}
+DEFAULT_ARCHIVING(add)
//////////
// functions overriding virtual functions from bases classes
// public
-basic * add::duplicate() const
+void add::print(const print_context & c, unsigned level) const
{
- debugmsg("add duplicate",LOGLEVEL_DUPLICATE);
- return new add(*this);
-}
+ debugmsg("add print", LOGLEVEL_PRINT);
-void add::print(std::ostream & os, unsigned upper_precedence) 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_of_type(c, print_tree)) {
+
+ inherited::print(c, level);
+
+ } else if (is_of_type(c, print_csrc)) {
+
+ 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.bp->print(c, precedence());
+ } else if (it->coeff.compare(_num_1()) == 0) {
+ c.s << "-";
+ it->rest.bp->print(c, precedence());
+ } else if (ex_to_numeric(it->coeff).numer().compare(_num1()) == 0) {
+ it->rest.bp->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.bp->print(c, precedence());
+ c.s << "/";
+ ex_to_numeric(it->coeff).denom().print(c, precedence());
+ } else {
+ it->coeff.bp->print(c, precedence());
+ c.s << "*";
+ it->rest.bp->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_ex_exactly_of_type(it->rest, numeric) && it->rest.compare(_num0()) < 0)))
+ c.s << "+";
+ }
+
+ if (!overall_coeff.is_zero()) {
+ if (overall_coeff.info(info_flags::positive))
+ c.s << '+';
+ overall_coeff.bp->print(c, precedence());
+ }
+
+ if (precedence() <= level)
+ c.s << ")";
+
+ } else {
+
+ if (precedence() <= level) {
+ if (is_of_type(c, print_latex))
+ 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_of_type(c, print_tree))
+ 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_of_type(c, print_latex))
+ c.s << ' ';
else
- coeff.print(os, precedence);
+ c.s << '*';
}
- os << '*';
+ it->rest.print(c, precedence());
+ it++;
}
- os << cit->rest;
- }
- 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_of_type(c, print_latex))
+ 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_equal(_ex0())) {
- 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
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_equal(_ex0()))
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) deg=cur_deg;
+ cur_deg = (*cit).rest.degree(s);
+ if (cur_deg>deg)
+ deg = cur_deg;
}
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_equal(_ex0()))
deg = 0;
- }
+
int cur_deg;
for (epvector::const_iterator cit=seq.begin(); cit!=seq.end(); ++cit) {
cur_deg = (*cit).rest.ldegree(s);
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));
+ ex restcoeff = it->rest.coeff(s,n);
+ if (!restcoeff.is_zero())
+ coeffseq.push_back(combine_ex_with_coeff_to_pair(restcoeff,it->coeff));
++it;
}
- 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 : default_overall_coeff()))->setflag(status_flags::dynallocated);
}
ex add::eval(int level) const
{
// simplifications: +(;c) -> c
// +(x;1) -> x
-
+
debugmsg("add eval",LOGLEVEL_MEMBER_FUNCTION);
-
- epvector * evaled_seqp=evalchildren(level);
+
+ epvector * evaled_seqp = evalchildren(level);
if (evaled_seqp!=0) {
// do more evaluation later
return (new add(evaled_seqp,overall_coeff))->
- setflag(status_flags::dynallocated);
+ 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)) {
+ if (is_ex_exactly_of_type((*cit).rest,numeric))
dbgprint();
- }
GINAC_ASSERT(!is_ex_exactly_of_type((*cit).rest,numeric));
}
#endif // def DO_GINAC_ASSERT
if (flags & status_flags::evaluated) {
GINAC_ASSERT(seq.size()>0);
- GINAC_ASSERT((seq.size()>1)||!overall_coeff.is_equal(_ex0()));
+ GINAC_ASSERT(seq.size()>1 || !overall_coeff.is_zero());
return *this;
}
- int seq_size=seq.size();
+ int seq_size = seq.size();
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_equal(_ex0())) {
// +(x;0) -> x
return recombine_pair_to_ex(*(seq.begin()));
}
return this->hold();
}
-exvector add::get_indices(void) const
-{
- // FIXME: all terms in the sum should have the same indices (compatible
- // tensors) however this is not checked, since there is no function yet
- // which compares indices (idxvector can be unsorted)
- if (seq.size()==0) {
- return exvector();
- }
- return (seq.begin())->rest.get_indices();
-}
-
ex add::simplify_ncmul(const exvector & v) const
{
if (seq.size()==0) {
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;
- // mul * mulcopyp=static_cast<mul *>(mulref.duplicate());
- mul * mulcopyp=new mul(mulref);
- mulcopyp->overall_coeff=_ex1();
+ const mul &mulref = ex_to_mul(e);
+ 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);
- return expair(mulcopyp->setflag(status_flags::dynallocated),numfactor);
+ mulcopyp->setflag(status_flags::dynallocated);
+ return expair(*mulcopyp,numfactor);
}
return expair(e,_ex1());
}
const ex & c) const
{
GINAC_ASSERT(is_ex_exactly_of_type(c, numeric));
- ex one = _ex1();
if (is_ex_exactly_of_type(e, mul)) {
const mul &mulref = ex_to_mul(e);
ex numfactor = mulref.overall_coeff;
mul *mulcopyp = new mul(mulref);
- mulcopyp->overall_coeff = one;
+ 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, one)) {
+ if (are_ex_trivially_equal(c, _ex1()))
return expair(*mulcopyp, numfactor);
- } else if (are_ex_trivially_equal(numfactor, one)) {
+ else if (are_ex_trivially_equal(numfactor, _ex1()))
return expair(*mulcopyp, c);
- }
- return expair(*mulcopyp, ex_to_numeric(numfactor).mul_dyn(ex_to_numeric(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, one)) {
- return expair(e, one);
- }
- return expair(ex_to_numeric(e).mul_dyn(ex_to_numeric(c)), one);
+ 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
{
return *this;
epvector * vp = expandchildren(options);
- if (vp==0)
+ if (vp==0) {
+ // the terms have not changed, so it is safe to declare this expanded
+ setflag(status_flags::expanded);
return *this;
+ }
return (new add(vp,overall_coeff))->setflag(status_flags::expanded | status_flags::dynallocated);
}
-//////////
-// new virtual functions which can be overridden by derived classes
-//////////
-
-// none
-
-//////////
-// non-virtual functions in this class
-//////////
-
-// none
-
-//////////
-// static member variables
-//////////
-
-// protected
-
-unsigned add::precedence = 40;
-
-//////////
-// global constants
-//////////
-
-const add some_add;
-const std::type_info & typeid_add = typeid(some_add);
-
-#ifndef NO_NAMESPACE_GINAC
} // namespace GiNaC
-#endif // ndef NO_NAMESPACE_GINAC