* Implementation of GiNaC's products 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 "mul.h"
#include "add.h"
#include "power.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(mul, expairseq)
//////////
// default constructor, destructor, copy constructor assignment operator and helpers
destroy(0);
}
-mul::mul(mul const & other)
+mul::mul(const mul & other)
{
debugmsg("mul copy constructor",LOGLEVEL_CONSTRUCT);
copy(other);
}
-mul const & mul::operator=(mul const & other)
+const mul & mul::operator=(const mul & other)
{
debugmsg("mul operator=",LOGLEVEL_ASSIGNMENT);
if (this != &other) {
// protected
-void mul::copy(mul const & other)
+void mul::copy(const mul & other)
{
- expairseq::copy(other);
+ inherited::copy(other);
}
void mul::destroy(bool call_parent)
{
- if (call_parent) expairseq::destroy(call_parent);
+ if (call_parent) inherited::destroy(call_parent);
}
//////////
// public
-mul::mul(ex const & lh, ex const & rh)
+mul::mul(const ex & lh, const ex & rh)
{
debugmsg("mul constructor from ex,ex",LOGLEVEL_CONSTRUCT);
tinfo_key = TINFO_mul;
- overall_coeff=exONE();
+ overall_coeff = _ex1();
construct_from_2_ex(lh,rh);
GINAC_ASSERT(is_canonical());
}
-mul::mul(exvector const & v)
+mul::mul(const exvector & v)
{
debugmsg("mul constructor from exvector",LOGLEVEL_CONSTRUCT);
tinfo_key = TINFO_mul;
- overall_coeff=exONE();
+ overall_coeff = _ex1();
construct_from_exvector(v);
GINAC_ASSERT(is_canonical());
}
-/*
-mul::mul(epvector const & v, bool do_not_canonicalize)
-{
- debugmsg("mul constructor from epvector,bool",LOGLEVEL_CONSTRUCT);
- tinfo_key = TINFO_mul;
- 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());
-}
-*/
-
-mul::mul(epvector const & v)
+mul::mul(const epvector & v)
{
debugmsg("mul constructor from epvector",LOGLEVEL_CONSTRUCT);
tinfo_key = TINFO_mul;
- overall_coeff=exONE();
+ overall_coeff = _ex1();
construct_from_epvector(v);
GINAC_ASSERT(is_canonical());
}
-mul::mul(epvector const & v, ex const & oc)
+mul::mul(const epvector & v, const ex & oc)
{
debugmsg("mul constructor from epvector,ex",LOGLEVEL_CONSTRUCT);
tinfo_key = TINFO_mul;
- overall_coeff=oc;
+ overall_coeff = oc;
construct_from_epvector(v);
GINAC_ASSERT(is_canonical());
}
-mul::mul(epvector * vp, ex const & oc)
+mul::mul(epvector * vp, const ex & oc)
{
debugmsg("mul constructor from epvector *,ex",LOGLEVEL_CONSTRUCT);
tinfo_key = TINFO_mul;
GINAC_ASSERT(vp!=0);
- overall_coeff=oc;
+ overall_coeff = oc;
construct_from_epvector(*vp);
delete vp;
GINAC_ASSERT(is_canonical());
}
-mul::mul(ex const & lh, ex const & mh, ex const & rh)
+mul::mul(const ex & lh, const ex & mh, const ex & rh)
{
debugmsg("mul constructor from ex,ex,ex",LOGLEVEL_CONSTRUCT);
tinfo_key = TINFO_mul;
factors.push_back(lh);
factors.push_back(mh);
factors.push_back(rh);
- overall_coeff=exONE();
+ overall_coeff = _ex1();
construct_from_exvector(factors);
GINAC_ASSERT(is_canonical());
}
+//////////
+// archiving
+//////////
+
+/** Construct object from archive_node. */
+mul::mul(const archive_node &n, const lst &sym_lst) : inherited(n, sym_lst)
+{
+ debugmsg("mul constructor from archive_node", LOGLEVEL_CONSTRUCT);
+}
+
+/** Unarchive the object. */
+ex mul::unarchive(const archive_node &n, const lst &sym_lst)
+{
+ return (new mul(n, sym_lst))->setflag(status_flags::dynallocated);
+}
+
+/** Archive the object. */
+void mul::archive(archive_node &n) const
+{
+ inherited::archive(n);
+}
+
//////////
// functions overriding virtual functions from bases classes
//////////
if (precedence<=upper_precedence) os << "(";
bool first=true;
// first print the overall numeric coefficient:
- if (ex_to_numeric(overall_coeff).csgn()==-1) os << '-';
- if (!overall_coeff.is_equal(exONE()) &&
- !overall_coeff.is_equal(exMINUSONE())) {
- if (ex_to_numeric(overall_coeff).csgn()==-1)
- (numMINUSONE()*overall_coeff).print(os, precedence);
- else
- overall_coeff.print(os, precedence);
+ numeric coeff = ex_to_numeric(overall_coeff);
+ if (coeff.csgn()==-1) os << '-';
+ 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 << '*';
}
// then proceed with the remaining factors:
if (precedence <= upper_precedence)
os << "(";
- if (!overall_coeff.is_equal(exONE())) {
+ if (!overall_coeff.is_equal(_ex1())) {
overall_coeff.bp->printcsrc(os,type,precedence);
os << "*";
}
while (it != itend) {
// If the first argument is a negative integer power, it gets printed as "1.0/<expr>"
- if (it == seq.begin() && ex_to_numeric(it->coeff).is_integer() && it->coeff.compare(numZERO()) < 0) {
+ if (it == seq.begin() && ex_to_numeric(it->coeff).is_integer() && it->coeff.compare(_num0()) < 0) {
if (type == csrc_types::ctype_cl_N)
os << "recip(";
else
}
// If the exponent is 1 or -1, it is left out
- if (it->coeff.compare(exONE()) == 0 || it->coeff.compare(numMINUSONE()) == 0)
+ if (it->coeff.compare(_ex1()) == 0 || it->coeff.compare(_num_1()) == 0)
it->rest.bp->printcsrc(os, type, precedence);
else
// outer parens around ex needed for broken gcc-2.95 parser:
// Separator is "/" for negative integer powers, "*" otherwise
it++;
if (it != itend) {
- if (ex_to_numeric(it->coeff).is_integer() && it->coeff.compare(numZERO()) < 0)
+ if (ex_to_numeric(it->coeff).is_integer() && it->coeff.compare(_num0()) < 0)
os << "/";
else
os << "*";
}
return overall_coeff.info(inf);
} else {
- return expairseq::info(inf);
+ return inherited::info(inf);
}
}
typedef vector<int> intvector;
-int mul::degree(symbol const & s) const
+int mul::degree(const symbol & s) const
{
int deg_sum=0;
for (epvector::const_iterator cit=seq.begin(); cit!=seq.end(); ++cit) {
return deg_sum;
}
-int mul::ldegree(symbol const & s) const
+int mul::ldegree(const symbol & s) const
{
int deg_sum=0;
for (epvector::const_iterator cit=seq.begin(); cit!=seq.end(); ++cit) {
return deg_sum;
}
-ex mul::coeff(symbol const & s, int const n) const
+ex mul::coeff(const symbol & s, int n) const
{
exvector coeffseq;
coeffseq.reserve(seq.size()+1);
return (new mul(coeffseq))->setflag(status_flags::dynallocated);
}
- return exZERO();
+ return _ex0();
}
ex mul::eval(int level) const
if (flags & status_flags::evaluated) {
GINAC_ASSERT(seq.size()>0);
- GINAC_ASSERT((seq.size()>1)||!overall_coeff.is_equal(exONE()));
+ GINAC_ASSERT((seq.size()>1)||!overall_coeff.is_equal(_ex1()));
return *this;
}
int seq_size=seq.size();
- if (overall_coeff.is_equal(exZERO())) {
+ if (overall_coeff.is_equal(_ex0())) {
// *(...,x;0) -> 0
- return exZERO();
+ return _ex0();
} else if (seq_size==0) {
// *(;c) -> c
return overall_coeff;
- } else if ((seq_size==1)&&overall_coeff.is_equal(exONE())) {
+ } else if ((seq_size==1)&&overall_coeff.is_equal(_ex1())) {
// *(x;1) -> x
return recombine_pair_to_ex(*(seq.begin()));
} else if ((seq_size==1) &&
is_ex_exactly_of_type((*seq.begin()).rest,add) &&
- ex_to_numeric((*seq.begin()).coeff).is_equal(numONE())) {
+ ex_to_numeric((*seq.begin()).coeff).is_equal(_num1())) {
// *(+(x,y,...);c) -> +(*(x,c),*(y,c),...) (c numeric(), no powers of +())
- add const & addref=ex_to_add((*seq.begin()).rest);
+ const add & addref=ex_to_add((*seq.begin()).rest);
epvector distrseq;
distrseq.reserve(addref.seq.size());
for (epvector::const_iterator cit=addref.seq.begin(); cit!=addref.seq.end(); ++cit) {
return this->hold();
}
+ex mul::evalf(int level) const
+{
+ if (level==1)
+ return mul(seq,overall_coeff);
+
+ if (level==-max_recursion_level)
+ throw(std::runtime_error("max recursion level reached"));
+
+ epvector s;
+ s.reserve(seq.size());
+
+ --level;
+ for (epvector::const_iterator it=seq.begin(); it!=seq.end(); ++it) {
+ s.push_back(combine_ex_with_coeff_to_pair((*it).rest.evalf(level),
+ (*it).coeff));
+ }
+ return mul(s,overall_coeff.evalf(level));
+}
+
exvector mul::get_indices(void) const
{
// return union of indices of factors
return iv;
}
-ex mul::simplify_ncmul(exvector const & v) const
+ex mul::simplify_ncmul(const exvector & v) const
{
throw(std::logic_error("mul::simplify_ncmul() should never have been called!"));
}
// protected
-int mul::compare_same_type(basic const & other) const
+/** Implementation of ex::diff() for a product. It applies the product rule.
+ * @see ex::diff */
+ex mul::derivative(const symbol & s) const
+{
+ exvector new_seq;
+ new_seq.reserve(seq.size());
+
+ // D(a*b*c)=D(a)*b*c+a*D(b)*c+a*b*D(c)
+ for (unsigned i=0; i!=seq.size(); i++) {
+ epvector sub_seq=seq;
+ sub_seq[i] = split_ex_to_pair(sub_seq[i].coeff*
+ power(sub_seq[i].rest,sub_seq[i].coeff-1)*
+ sub_seq[i].rest.diff(s));
+ new_seq.push_back((new mul(sub_seq,overall_coeff))->setflag(status_flags::dynallocated));
+ }
+ return (new add(new_seq))->setflag(status_flags::dynallocated);
+}
+
+int mul::compare_same_type(const basic & other) const
{
- return expairseq::compare_same_type(other);
+ return inherited::compare_same_type(other);
}
-bool mul::is_equal_same_type(basic const & other) const
+bool mul::is_equal_same_type(const basic & other) const
{
- return expairseq::is_equal_same_type(other);
+ return inherited::is_equal_same_type(other);
}
unsigned mul::return_type(void) const
return tinfo_key;
}
-ex mul::thisexpairseq(epvector const & v, ex const & oc) const
+ex mul::thisexpairseq(const epvector & v, const ex & oc) const
{
return (new mul(v,oc))->setflag(status_flags::dynallocated);
}
-ex mul::thisexpairseq(epvector * vp, ex const & oc) const
+ex mul::thisexpairseq(epvector * vp, const ex & oc) const
{
return (new mul(vp,oc))->setflag(status_flags::dynallocated);
}
-expair mul::split_ex_to_pair(ex const & e) const
+expair mul::split_ex_to_pair(const ex & e) const
{
if (is_ex_exactly_of_type(e,power)) {
- power const & powerref=ex_to_power(e);
+ const power & powerref=ex_to_power(e);
if (is_ex_exactly_of_type(powerref.exponent,numeric)) {
return expair(powerref.basis,powerref.exponent);
}
}
- return expair(e,exONE());
+ return expair(e,_ex1());
}
-expair mul::combine_ex_with_coeff_to_pair(ex const & e,
- ex const & c) const
+expair mul::combine_ex_with_coeff_to_pair(const ex & e,
+ const ex & c) const
{
// to avoid duplication of power simplification rules,
// we create a temporary power object
// otherwise it would be hard to correctly simplify
// expression like (4^(1/3))^(3/2)
- if (are_ex_trivially_equal(c,exONE())) {
+ if (are_ex_trivially_equal(c,_ex1())) {
return split_ex_to_pair(e);
}
return split_ex_to_pair(power(e,c));
}
-expair mul::combine_pair_with_coeff_to_pair(expair const & p,
- ex const & c) const
+expair mul::combine_pair_with_coeff_to_pair(const expair & p,
+ const ex & c) const
{
// to avoid duplication of power simplification rules,
// we create a temporary power object
// otherwise it would be hard to correctly simplify
// expression like (4^(1/3))^(3/2)
- if (are_ex_trivially_equal(c,exONE())) {
+ if (are_ex_trivially_equal(c,_ex1())) {
return p;
}
return split_ex_to_pair(power(recombine_pair_to_ex(p),c));
}
-ex mul::recombine_pair_to_ex(expair const & p) const
+ex mul::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 power(p.rest,p.coeff);
*it=ep;
return true;
}
- if (ex_to_numeric((*it).coeff).is_equal(numONE())) {
+ if (ex_to_numeric((*it).coeff).is_equal(_num1())) {
// combined pair has coeff 1 and must be moved to the end
return true;
}
ex mul::default_overall_coeff(void) const
{
- return exONE();
+ return _ex1();
}
-void mul::combine_overall_coeff(ex const & c)
+void mul::combine_overall_coeff(const ex & c)
{
GINAC_ASSERT(is_ex_exactly_of_type(overall_coeff,numeric));
GINAC_ASSERT(is_ex_exactly_of_type(c,numeric));
overall_coeff = ex_to_numeric(overall_coeff).mul_dyn(ex_to_numeric(c));
}
-void mul::combine_overall_coeff(ex const & c1, ex const & c2)
+void mul::combine_overall_coeff(const ex & c1, const ex & c2)
{
GINAC_ASSERT(is_ex_exactly_of_type(overall_coeff,numeric));
GINAC_ASSERT(is_ex_exactly_of_type(c1,numeric));
mul_dyn(ex_to_numeric(c1).power(ex_to_numeric(c2)));
}
-bool mul::can_make_flat(expair const & p) const
+bool mul::can_make_flat(const expair & p) const
{
GINAC_ASSERT(is_ex_exactly_of_type(p.coeff,numeric));
// this assertion will probably fail somewhere
// it would require a more careful make_flat, obeying the power laws
// probably should return true only if p.coeff is integer
- return ex_to_numeric(p.coeff).is_equal(numONE());
+ return ex_to_numeric(p.coeff).is_equal(_num1());
}
ex mul::expand(unsigned options) const
epvector * expanded_seqp=expandchildren(options);
- epvector const & expanded_seq = expanded_seqp==0 ? seq : *expanded_seqp;
+ const epvector & expanded_seq = expanded_seqp==0 ? seq : *expanded_seqp;
positions_of_adds.resize(expanded_seq.size());
number_of_add_operands.resize(expanded_seq.size());
epvector::const_iterator last=expanded_seq.end();
for (epvector::const_iterator cit=expanded_seq.begin(); cit!=last; ++cit) {
if (is_ex_exactly_of_type((*cit).rest,add)&&
- (ex_to_numeric((*cit).coeff).is_equal(numONE()))) {
+ (ex_to_numeric((*cit).coeff).is_equal(_num1()))) {
positions_of_adds[number_of_adds]=current_position;
- add const & expanded_addref=ex_to_add((*cit).rest);
- int addref_nops=expanded_addref.nops();
+ const add & expanded_addref=ex_to_add((*cit).rest);
+ unsigned addref_nops=expanded_addref.nops();
number_of_add_operands[number_of_adds]=addref_nops;
number_of_expanded_terms *= addref_nops;
number_of_adds++;
epvector term;
term=expanded_seq;
for (l=0; l<number_of_adds; l++) {
- add const & addref=ex_to_add(expanded_seq[positions_of_adds[l]].rest);
- GINAC_ASSERT(term[positions_of_adds[l]].coeff.compare(exONE())==0);
+ const add & addref=ex_to_add(expanded_seq[positions_of_adds[l]].rest);
+ GINAC_ASSERT(term[positions_of_adds[l]].coeff.compare(_ex1())==0);
term[positions_of_adds[l]]=split_ex_to_pair(addref.op(k[l]));
}
/*
epvector::const_iterator last=seq.end();
epvector::const_iterator cit=seq.begin();
while (cit!=last) {
- ex const & factor=recombine_pair_to_ex(*cit);
- ex const & expanded_factor=factor.expand(options);
+ const ex & factor=recombine_pair_to_ex(*cit);
+ const ex & expanded_factor=factor.expand(options);
if (!are_ex_trivially_equal(factor,expanded_factor)) {
// something changed, copy seq, eval and return it
//////////
const mul some_mul;
-type_info const & typeid_mul=typeid(some_mul);
+const type_info & typeid_mul=typeid(some_mul);
-#ifndef NO_GINAC_NAMESPACE
+#ifndef NO_NAMESPACE_GINAC
} // namespace GiNaC
-#endif // ndef NO_GINAC_NAMESPACE
+#endif // ndef NO_NAMESPACE_GINAC
git://www.ginac.de / ginac.git / blobdiff