* Implementation of GiNaC's sums of expressions. */
/*
- * GiNaC Copyright (C) 1999 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2000 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 "add.h"
#include "mul.h"
+#include "archive.h"
#include "debugmsg.h"
+#include "utils.h"
-#ifndef NO_GINAC_NAMESPACE
+#ifndef NO_NAMESPACE_GINAC
namespace GiNaC {
-#endif // ndef NO_GINAC_NAMESPACE
+#endif // ndef NO_NAMESPACE_GINAC
+
+GINAC_IMPLEMENT_REGISTERED_CLASS(add, expairseq)
//////////
// default constructor, destructor, copy constructor assignment operator and helpers
destroy(0);
}
-add::add(add const & other)
+add::add(const add & other)
{
debugmsg("add copy constructor",LOGLEVEL_CONSTRUCT);
copy(other);
}
-add const & add::operator=(add const & other)
+const add & add::operator=(const add & other)
{
debugmsg("add operator=",LOGLEVEL_ASSIGNMENT);
if (this != &other) {
// protected
-void add::copy(add const & other)
+void add::copy(const add & other)
{
- expairseq::copy(other);
+ inherited::copy(other);
}
void add::destroy(bool call_parent)
{
- if (call_parent) expairseq::destroy(call_parent);
+ if (call_parent) inherited::destroy(call_parent);
}
//////////
// public
-add::add(ex const & lh, ex const & rh)
+add::add(const ex & lh, const ex & rh)
{
debugmsg("add constructor from ex,ex",LOGLEVEL_CONSTRUCT);
tinfo_key = TINFO_add;
- overall_coeff=exZERO();
+ overall_coeff=_ex0();
construct_from_2_ex(lh,rh);
GINAC_ASSERT(is_canonical());
}
-add::add(exvector const & v)
+add::add(const exvector & v)
{
debugmsg("add constructor from exvector",LOGLEVEL_CONSTRUCT);
tinfo_key = TINFO_add;
- overall_coeff=exZERO();
+ overall_coeff=_ex0();
construct_from_exvector(v);
GINAC_ASSERT(is_canonical());
}
/*
-add::add(epvector const & v, bool do_not_canonicalize)
+add::add(const epvector & v, bool do_not_canonicalize)
{
debugmsg("add constructor from epvector,bool",LOGLEVEL_CONSTRUCT);
tinfo_key = TINFO_add;
}
*/
-add::add(epvector const & v)
+add::add(const epvector & v)
{
debugmsg("add constructor from epvector",LOGLEVEL_CONSTRUCT);
tinfo_key = TINFO_add;
- overall_coeff=exZERO();
+ overall_coeff=_ex0();
construct_from_epvector(v);
GINAC_ASSERT(is_canonical());
}
-add::add(epvector const & v, ex const & oc)
+add::add(const epvector & v, const ex & oc)
{
debugmsg("add constructor from epvector,ex",LOGLEVEL_CONSTRUCT);
tinfo_key = TINFO_add;
GINAC_ASSERT(is_canonical());
}
-add::add(epvector * vp, ex const & oc)
+add::add(epvector * vp, const ex & oc)
{
debugmsg("add constructor from epvector *,ex",LOGLEVEL_CONSTRUCT);
tinfo_key = TINFO_add;
GINAC_ASSERT(is_canonical());
}
+//////////
+// 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);
+}
+
//////////
// functions overriding virtual functions from bases classes
//////////
return new add(*this);
}
+void add::print(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 << '-';
+ 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;
+ } else {
+ if (coeff.csgn()==-1)
+ (-coeff).print(os, precedence);
+ else
+ coeff.print(os, precedence);
+ }
+ os << '*';
+ }
+ os << cit->rest;
+ }
+ if (precedence<=upper_precedence) os << ")";
+}
+
+void add::printraw(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(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);
+ }
+
+ // 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
{
// TODO: optimize
- if (inf==info_flags::polynomial || inf==info_flags::integer_polynomial || inf==info_flags::rational_polynomial || inf==info_flags::rational_function) {
+ if (inf==info_flags::polynomial ||
+ inf==info_flags::integer_polynomial ||
+ inf==info_flags::cinteger_polynomial ||
+ inf==info_flags::rational_polynomial ||
+ inf==info_flags::crational_polynomial ||
+ inf==info_flags::rational_function) {
for (epvector::const_iterator it=seq.begin(); it!=seq.end(); ++it) {
if (!(recombine_pair_to_ex(*it).info(inf)))
return false;
}
- return true;
+ return overall_coeff.info(inf);
} else {
- return expairseq::info(inf);
+ return inherited::info(inf);
}
}
-int add::degree(symbol const & s) const
+int add::degree(const symbol & s) const
{
int deg=INT_MIN;
- if (!overall_coeff.is_equal(exZERO())) {
+ if (!overall_coeff.is_equal(_ex0())) {
deg=0;
}
int cur_deg;
return deg;
}
-int add::ldegree(symbol const & s) const
+int add::ldegree(const symbol & s) const
{
int deg=INT_MAX;
- if (!overall_coeff.is_equal(exZERO())) {
+ if (!overall_coeff.is_equal(_ex0())) {
deg=0;
}
int cur_deg;
return deg;
}
-ex add::coeff(symbol const & s, int const n) const
+ex add::coeff(const symbol & s, int n) const
{
epvector coeffseq;
coeffseq.reserve(seq.size());
if (flags & status_flags::evaluated) {
GINAC_ASSERT(seq.size()>0);
- GINAC_ASSERT((seq.size()>1)||!overall_coeff.is_equal(exZERO()));
+ GINAC_ASSERT((seq.size()>1)||!overall_coeff.is_equal(_ex0()));
return *this;
}
if (seq_size==0) {
// +(;c) -> c
return overall_coeff;
- } else if ((seq_size==1)&&overall_coeff.is_equal(exZERO())) {
+ } else if ((seq_size==1)&&overall_coeff.is_equal(_ex0())) {
// +(x;0) -> x
return recombine_pair_to_ex(*(seq.begin()));
}
return (seq.begin())->rest.get_indices();
}
-ex add::simplify_ncmul(exvector const & v) const
+ex add::simplify_ncmul(const exvector & v) const
{
if (seq.size()==0) {
- return expairseq::simplify_ncmul(v);
+ return inherited::simplify_ncmul(v);
}
return (*seq.begin()).rest.simplify_ncmul(v);
}
// protected
-int add::compare_same_type(basic const & other) const
+/** Implementation of ex::diff() for a sum. It differentiates each term.
+ * @see ex::diff */
+ex add::derivative(const symbol & s) const
+{
+ // D(a+b+c)=D(a)+D(b)+D(c)
+ return (new add(diffchildren(s)))->setflag(status_flags::dynallocated);
+}
+
+int add::compare_same_type(const basic & other) const
{
- return expairseq::compare_same_type(other);
+ return inherited::compare_same_type(other);
}
-bool add::is_equal_same_type(basic const & other) const
+bool add::is_equal_same_type(const basic & other) const
{
- return expairseq::is_equal_same_type(other);
+ return inherited::is_equal_same_type(other);
}
unsigned add::return_type(void) const
return (*seq.begin()).rest.return_type_tinfo();
}
-ex add::thisexpairseq(epvector const & v, ex const & oc) const
+ex add::thisexpairseq(const epvector & v, const ex & oc) const
{
return (new add(v,oc))->setflag(status_flags::dynallocated);
}
-ex add::thisexpairseq(epvector * vp, ex const & oc) const
+ex add::thisexpairseq(epvector * vp, const ex & oc) const
{
return (new add(vp,oc))->setflag(status_flags::dynallocated);
}
-expair add::split_ex_to_pair(ex const & e) const
+expair add::split_ex_to_pair(const ex & e) const
{
if (is_ex_exactly_of_type(e,mul)) {
- mul const & mulref=ex_to_mul(e);
+ 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=exONE();
+ mulcopyp->overall_coeff=_ex1();
mulcopyp->clearflag(status_flags::evaluated);
mulcopyp->clearflag(status_flags::hash_calculated);
return expair(mulcopyp->setflag(status_flags::dynallocated),numfactor);
}
- return expair(e,exONE());
+ return expair(e,_ex1());
}
-expair add::combine_ex_with_coeff_to_pair(ex const & e,
- ex const & c) const
+expair add::combine_ex_with_coeff_to_pair(const ex & e,
+ const ex & c) const
{
GINAC_ASSERT(is_ex_exactly_of_type(c,numeric));
if (is_ex_exactly_of_type(e,mul)) {
- mul const & mulref=ex_to_mul(e);
+ 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=exONE();
+ mulcopyp->overall_coeff=_ex1();
mulcopyp->clearflag(status_flags::evaluated);
mulcopyp->clearflag(status_flags::hash_calculated);
- if (are_ex_trivially_equal(c,exONE())) {
+ if (are_ex_trivially_equal(c,_ex1())) {
return expair(mulcopyp->setflag(status_flags::dynallocated),numfactor);
- } else if (are_ex_trivially_equal(numfactor,exONE())) {
+ } else if (are_ex_trivially_equal(numfactor,_ex1())) {
return expair(mulcopyp->setflag(status_flags::dynallocated),c);
}
return expair(mulcopyp->setflag(status_flags::dynallocated),
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,exONE())) {
- return expair(e,exONE());
+ if (are_ex_trivially_equal(c,_ex1())) {
+ return expair(e,_ex1());
}
- return expair(ex_to_numeric(e).mul_dyn(ex_to_numeric(c)),exONE());
+ 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(expair const & p,
- ex const & c) const
+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));
if (is_ex_exactly_of_type(p.rest,numeric)) {
- GINAC_ASSERT(ex_to_numeric(p.coeff).is_equal(numONE())); // should be normalized
- return expair(ex_to_numeric(p.rest).mul_dyn(ex_to_numeric(c)),exONE());
+ 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)));
}
-ex add::recombine_pair_to_ex(expair const & p) const
+ex add::recombine_pair_to_ex(const expair & p) const
{
- //if (p.coeff.compare(exONE())==0) {
- //if (are_ex_trivially_equal(p.coeff,exONE())) {
- if (ex_to_numeric(p.coeff).is_equal(numONE())) {
+ //if (p.coeff.compare(_ex1())==0) {
+ //if (are_ex_trivially_equal(p.coeff,_ex1())) {
+ if (ex_to_numeric(p.coeff).is_equal(_num1())) {
return p.rest;
} else {
return p.rest*p.coeff;
//////////
const add some_add;
-type_info const & typeid_add=typeid(some_add);
+const type_info & typeid_add=typeid(some_add);
-#ifndef NO_GINAC_NAMESPACE
+#ifndef NO_NAMESPACE_GINAC
} // namespace GiNaC
-#endif // ndef NO_GINAC_NAMESPACE
+#endif // ndef NO_NAMESPACE_GINAC