/** @file simp_lor.cpp
*
* Implementation of GiNaC's simp_lor objects.
- * No real implementation yet, to be done.
- *
- * GiNaC Copyright (C) 1999 Johannes Gutenberg University Mainz, Germany
+ * No real implementation yet, to be done. */
+
+/*
+ * 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 <stdexcept>
#include <map>
-#include "ginac.h"
+#include "simp_lor.h"
+#include "ex.h"
+#include "mul.h"
+#include "symbol.h"
+#include "debugmsg.h"
+#include "utils.h"
+
+#ifndef NO_NAMESPACE_GINAC
+namespace GiNaC {
+#endif // ndef NO_NAMESPACE_GINAC
//////////
// default constructor, destructor, copy constructor assignment operator and helpers
simp_lor::simp_lor() : type(invalid)
{
- debugmsg("simp_lor default constructor",LOGLEVEL_CONSTRUCT);
- tinfo_key=TINFO_SIMP_LOR;
+ debugmsg("simp_lor default constructor",LOGLEVEL_CONSTRUCT);
+ tinfo_key=TINFO_simp_lor;
}
simp_lor::~simp_lor()
{
- debugmsg("simp_lor destructor",LOGLEVEL_DESTRUCT);
- destroy(0);
+ debugmsg("simp_lor destructor",LOGLEVEL_DESTRUCT);
+ destroy(false);
}
-simp_lor::simp_lor(simp_lor const & other)
+simp_lor::simp_lor(const simp_lor & other)
{
- debugmsg("simp_lor copy constructor",LOGLEVEL_CONSTRUCT);
- copy (other);
+ debugmsg("simp_lor copy constructor",LOGLEVEL_CONSTRUCT);
+ copy (other);
}
-simp_lor const & simp_lor::operator=(simp_lor const & other)
+const simp_lor & simp_lor::operator=(const simp_lor & other)
{
- debugmsg("simp_lor operator=",LOGLEVEL_ASSIGNMENT);
- if (this != &other) {
- destroy(1);
- copy(other);
- }
- return *this;
+ debugmsg("simp_lor operator=",LOGLEVEL_ASSIGNMENT);
+ if (this != &other) {
+ destroy(true);
+ copy(other);
+ }
+ return *this;
}
// protected
-void simp_lor::copy(simp_lor const & other)
+void simp_lor::copy(const simp_lor & other)
{
- indexed::copy(other);
- type=other.type;
- name=other.name;
+ indexed::copy(other);
+ type=other.type;
+ name=other.name;
}
void simp_lor::destroy(bool call_parent)
{
- if (call_parent) {
- indexed::destroy(call_parent);
- }
+ if (call_parent) {
+ indexed::destroy(call_parent);
+ }
}
//////////
simp_lor::simp_lor(simp_lor_types const t) : type(t)
{
- debugmsg("simp_lor constructor from simp_lor_types",LOGLEVEL_CONSTRUCT);
- tinfo_key=TINFO_SIMP_LOR;
+ debugmsg("simp_lor constructor from simp_lor_types",LOGLEVEL_CONSTRUCT);
+ tinfo_key=TINFO_simp_lor;
}
-simp_lor::simp_lor(simp_lor_types const t, ex const & i1, ex const & i2) :
- indexed(i1,i2), type(t)
+simp_lor::simp_lor(simp_lor_types const t, const ex & i1, const ex & i2)
+ : indexed(i1,i2), type(t)
{
- debugmsg("simp_lor constructor from simp_lor_types,ex,ex",LOGLEVEL_CONSTRUCT);
- tinfo_key=TINFO_SIMP_LOR;
- ASSERT(all_of_type_lorentzidx());
+ debugmsg("simp_lor constructor from simp_lor_types,ex,ex",LOGLEVEL_CONSTRUCT);
+ tinfo_key=TINFO_simp_lor;
+ GINAC_ASSERT(all_of_type_lorentzidx());
}
-simp_lor::simp_lor(simp_lor_types const t, string const & n, ex const & i1) :
- indexed(i1), type(t), name(n)
+simp_lor::simp_lor(simp_lor_types const t, const std::string & n, const ex & i1)
+ : indexed(i1), type(t), name(n)
{
- debugmsg("simp_lor constructor from simp_lor_types,string,ex",LOGLEVEL_CONSTRUCT);
- tinfo_key=TINFO_SIMP_LOR;
- ASSERT(all_of_type_lorentzidx());
+ debugmsg("simp_lor constructor from simp_lor_types,string,ex",LOGLEVEL_CONSTRUCT);
+ tinfo_key=TINFO_simp_lor;
+ GINAC_ASSERT(all_of_type_lorentzidx());
}
-simp_lor::simp_lor(simp_lor_types const t, string const & n, exvector const & iv) :
- indexed(iv), type(t), name(n)
+simp_lor::simp_lor(simp_lor_types const t, const std::string & n, const exvector & iv)
+ : indexed(iv), type(t), name(n)
{
- debugmsg("simp_lor constructor from simp_lor_types,string,exvector",LOGLEVEL_CONSTRUCT);
- tinfo_key=TINFO_SIMP_LOR;
- ASSERT(all_of_type_lorentzidx());
+ debugmsg("simp_lor constructor from simp_lor_types,string,exvector",LOGLEVEL_CONSTRUCT);
+ tinfo_key=TINFO_simp_lor;
+ GINAC_ASSERT(all_of_type_lorentzidx());
}
-simp_lor::simp_lor(simp_lor_types const t, string const & n, exvector * ivp) :
- indexed(ivp), type(t), name(n)
+simp_lor::simp_lor(simp_lor_types const t, const std::string & n, exvector * ivp)
+ : indexed(ivp), type(t), name(n)
{
- debugmsg("simp_lor constructor from simp_lor_types,string,exvector*",LOGLEVEL_CONSTRUCT);
- tinfo_key=TINFO_SIMP_LOR;
- ASSERT(all_of_type_lorentzidx());
+ debugmsg("simp_lor constructor from simp_lor_types,string,exvector*",LOGLEVEL_CONSTRUCT);
+ tinfo_key=TINFO_simp_lor;
+ GINAC_ASSERT(all_of_type_lorentzidx());
}
//////////
basic * simp_lor::duplicate() const
{
- debugmsg("simp_lor duplicate",LOGLEVEL_DUPLICATE);
- return new simp_lor(*this);
+ debugmsg("simp_lor duplicate",LOGLEVEL_DUPLICATE);
+ return new simp_lor(*this);
}
-void simp_lor::printraw(ostream & os) const
+void simp_lor::printraw(std::ostream & os) const
{
- debugmsg("simp_lor printraw",LOGLEVEL_PRINT);
- os << "simp_lor(type=" << (unsigned)type
- << ",name=" << name << ",indices=";
- printrawindices(os);
- os << ",hash=" << hashvalue << ",flags=" << flags << ")";
+ debugmsg("simp_lor printraw",LOGLEVEL_PRINT);
+ os << "simp_lor(type=" << (unsigned)type
+ << ",name=" << name << ",indices=";
+ printrawindices(os);
+ os << ",hash=" << hashvalue << ",flags=" << flags << ")";
}
-void simp_lor::printtree(ostream & os, unsigned indent) const
+void simp_lor::printtree(std::ostream & os, unsigned indent) const
{
- debugmsg("simp_lor printtree",LOGLEVEL_PRINT);
- os << string(indent,' ') << "simp_lor object: "
- << "type=" << (unsigned)type
- << ", name=" << name << ", ";
- os << seq.size() << " indices" << endl;
- printtreeindices(os,indent);
- os << string(indent,' ') << "hash=" << hashvalue
- << " (0x" << hex << hashvalue << dec << ")"
- << ", flags=" << flags << endl;
+ debugmsg("simp_lor printtree",LOGLEVEL_PRINT);
+ os << std::string(indent,' ') << "simp_lor object: "
+ << "type=" << (unsigned)type
+ << ", name=" << name << ", ";
+ os << seq.size() << " indices" << std::endl;
+ printtreeindices(os,indent);
+ os << std::string(indent,' ') << "hash=" << hashvalue
+ << " (0x" << std::hex << hashvalue << std::dec << ")"
+ << ", flags=" << flags << std::endl;
}
-void simp_lor::print(ostream & os, unsigned upper_precedence) const
+void simp_lor::print(std::ostream & os, unsigned upper_precedence) const
{
- debugmsg("simp_lor print",LOGLEVEL_PRINT);
- switch (type) {
- case simp_lor_g:
- os << "g";
- break;
- case simp_lor_vec:
- os << name;
- break;
- case invalid:
- default:
- os << "INVALID_SIMP_LOR_OBJECT";
- break;
- }
- printindices(os);
+ debugmsg("simp_lor print",LOGLEVEL_PRINT);
+ switch (type) {
+ case simp_lor_g:
+ os << "g";
+ break;
+ case simp_lor_vec:
+ os << name;
+ break;
+ case invalid:
+ default:
+ os << "INVALID_SIMP_LOR_OBJECT";
+ break;
+ }
+ printindices(os);
}
-void simp_lor::printcsrc(ostream & os, unsigned type, unsigned upper_precedence) const
+void simp_lor::printcsrc(std::ostream & os, unsigned type, unsigned upper_precedence) const
{
- debugmsg("simp_lor print csrc",LOGLEVEL_PRINT);
- print(os,upper_precedence);
+ debugmsg("simp_lor print csrc",LOGLEVEL_PRINT);
+ print(os,upper_precedence);
}
bool simp_lor::info(unsigned inf) const
{
- return indexed::info(inf);
+ return indexed::info(inf);
}
ex simp_lor::eval(int level) const
{
- if (type==simp_lor_g) {
- // canonicalize indices
- exvector iv=seq;
- int sig=canonicalize_indices(iv,false); // symmetric
- if (sig!=INT_MAX) {
- // something has changed while sorting indices, more evaluations later
- if (sig==0) return exZERO();
- return ex(sig)*simp_lor(type,name,iv);
- }
- lorentzidx const & idx1=ex_to_lorentzidx(seq[0]);
- lorentzidx const & idx2=ex_to_lorentzidx(seq[1]);
- if ((!idx1.is_symbolic())&&(!idx2.is_symbolic())) {
- // both indices are numeric
- if ((idx1.get_value()==idx2.get_value())) {
- // both on diagonal
- if (idx1.get_value()==0) {
- // (0,0)
- return exONE();
- } else {
- if (idx1.is_covariant()!=idx2.is_covariant()) {
- // (_i,~i) or (~i,_i), i=1..3
- return exONE();
- } else {
- // (_i,_i) or (~i,~i), i=1..3
- return exMINUSONE();
- }
- }
- } else {
- // at least one off-diagonal
- return exZERO();
- }
- } else if (idx1.is_symbolic() &&
- idx1.is_co_contra_pair(idx2)) {
- return Dim()-idx1.get_dim_parallel_space();
- }
- }
-
- return this->hold();
-}
-
+ if (type==simp_lor_g) {
+ // canonicalize indices
+ exvector iv=seq;
+ int sig=canonicalize_indices(iv,false); // symmetric
+ if (sig!=INT_MAX) {
+ // something has changed while sorting indices, more evaluations later
+ if (sig==0) return _ex0();
+ return ex(sig)*simp_lor(type,name,iv);
+ }
+ const lorentzidx & idx1=ex_to_lorentzidx(seq[0]);
+ const lorentzidx & idx2=ex_to_lorentzidx(seq[1]);
+ if ((!idx1.is_symbolic())&&(!idx2.is_symbolic())) {
+ // both indices are numeric
+ if ((idx1.get_value()==idx2.get_value())) {
+ // both on diagonal
+ if (idx1.get_value()==0) {
+ // (0,0)
+ return _ex1();
+ } else {
+ if (idx1.is_covariant()!=idx2.is_covariant()) {
+ // (_i,~i) or (~i,_i), i=1..3
+ return _ex1();
+ } else {
+ // (_i,_i) or (~i,~i), i=1..3
+ return _ex_1();
+ }
+ }
+ } else {
+ // at least one off-diagonal
+ return _ex0();
+ }
+ } else if (idx1.is_symbolic() &&
+ idx1.is_co_contra_pair(idx2)) {
+ return Dim()-idx1.get_dim_parallel_space();
+ }
+ }
+
+ return this->hold();
+}
+
// protected
-int simp_lor::compare_same_type(basic const & other) const
+int simp_lor::compare_same_type(const basic & other) const
{
- ASSERT(other.tinfo() == TINFO_SIMP_LOR);
- const simp_lor *o = static_cast<const simp_lor *>(&other);
- if (type==o->type) {
- if (name==o->name) {
- return indexed::compare_same_type(other);
- }
- return name.compare(o->name);
- }
- return type < o->type ? -1 : 1;
+ GINAC_ASSERT(other.tinfo() == TINFO_simp_lor);
+ const simp_lor *o = static_cast<const simp_lor *>(&other);
+ if (type==o->type) {
+ if (name==o->name) {
+ return indexed::compare_same_type(other);
+ }
+ return name.compare(o->name);
+ }
+ return type < o->type ? -1 : 1;
}
-bool simp_lor::is_equal_same_type(basic const & other) const
+bool simp_lor::is_equal_same_type(const basic & other) const
{
- ASSERT(other.tinfo() == TINFO_SIMP_LOR);
- const simp_lor *o = static_cast<const simp_lor *>(&other);
- if (type!=o->type) return false;
- if (name!=o->name) return false;
- return indexed::is_equal_same_type(other);
+ GINAC_ASSERT(other.tinfo() == TINFO_simp_lor);
+ const simp_lor *o = static_cast<const simp_lor *>(&other);
+ if (type!=o->type) return false;
+ if (name!=o->name) return false;
+ return indexed::is_equal_same_type(other);
}
unsigned simp_lor::return_type(void) const
{
- return return_types::commutative;
+ return return_types::commutative;
}
unsigned simp_lor::return_type_tinfo(void) const
{
- return tinfo_key;
+ return tinfo_key;
}
-ex simp_lor::thisexprseq(exvector const & v) const
+ex simp_lor::thisexprseq(const exvector & v) const
{
- return simp_lor(type,name,v);
+ return simp_lor(type,name,v);
}
ex simp_lor::thisexprseq(exvector * vp) const
{
- return simp_lor(type,name,vp);
+ return simp_lor(type,name,vp);
}
//////////
bool simp_lor::all_of_type_lorentzidx(void) const
{
- // used only inside of ASSERTs
- for (exvector::const_iterator cit=seq.begin(); cit!=seq.end(); ++cit) {
- if (!is_ex_of_type(*cit,lorentzidx)) return false;
- }
- return true;
+ // used only inside of ASSERTs
+ for (exvector::const_iterator cit=seq.begin(); cit!=seq.end(); ++cit) {
+ if (!is_ex_of_type(*cit,lorentzidx)) return false;
+ }
+ return true;
}
//////////
//////////
const simp_lor some_simp_lor;
-type_info const & typeid_simp_lor=typeid(some_simp_lor);
+const type_info & typeid_simp_lor = typeid(some_simp_lor);
//////////
// friend functions
//////////
-simp_lor lor_g(ex const & mu, ex const & nu)
+simp_lor lor_g(const ex & mu, const ex & nu)
+{
+ return simp_lor(simp_lor::simp_lor_g,mu,nu);
+}
+
+simp_lor lor_vec(const std::string & n, const ex & mu)
{
- return simp_lor(simp_lor::simp_lor_g,mu,nu);
+ return simp_lor(simp_lor::simp_lor_vec,n,mu);
}
-simp_lor lor_vec(string const & n, ex const & mu)
+ex simplify_simp_lor_mul(const ex & m, const scalar_products & sp)
{
- return simp_lor(simp_lor::simp_lor_vec,n,mu);
+ GINAC_ASSERT(is_ex_exactly_of_type(m,mul));
+ exvector v_contracted;
+
+ // collect factors in an exvector, store squares twice
+ unsigned n=m.nops();
+ v_contracted.reserve(2*n);
+ for (unsigned i=0; i<n; ++i) {
+ ex f=m.op(i);
+ if (is_ex_exactly_of_type(f,power)&&f.op(1).is_equal(_ex2())) {
+ v_contracted.push_back(f.op(0));
+ v_contracted.push_back(f.op(0));
+ } else {
+ v_contracted.push_back(f);
+ }
+ }
+
+ unsigned replacements;
+ bool something_changed=false;
+
+ exvector::iterator it=v_contracted.begin();
+ while (it!=v_contracted.end()) {
+ // process only lor_g objects
+ if (is_ex_exactly_of_type(*it,simp_lor) &&
+ (ex_to_simp_lor(*it).type==simp_lor::simp_lor_g)) {
+ const simp_lor & g=ex_to_simp_lor(*it);
+ GINAC_ASSERT(g.seq.size()==2);
+ const idx & first_idx=ex_to_lorentzidx(g.seq[0]);
+ const idx & second_idx=ex_to_lorentzidx(g.seq[1]);
+ // g_{mu,mu} should have been contracted in simp_lor::eval()
+ GINAC_ASSERT(!first_idx.is_equal(second_idx));
+ ex saved_g=*it; // save to restore it later
+
+ // try to contract first index
+ replacements=0;
+ if (first_idx.is_symbolic()) {
+ replacements = subs_index_in_exvector(v_contracted, first_idx.toggle_covariant(),second_idx);
+ if (replacements==0) {
+ // not contracted, restore g object
+ *it=saved_g;
+ } else {
+ // a contracted index should occur exactly once
+ GINAC_ASSERT(replacements==1);
+ *it=_ex1();
+ something_changed=true;
+ }
+ }
+
+ // try second index only if first was not contracted
+ if ((replacements==0)&&(second_idx.is_symbolic())) {
+ // first index not contracted, *it is again the original g object
+ replacements = subs_index_in_exvector(v_contracted, second_idx.toggle_covariant(),first_idx);
+ if (replacements==0) {
+ // not contracted except in itself, restore g object
+ *it=saved_g;
+ } else {
+ // a contracted index should occur exactly once
+ GINAC_ASSERT(replacements==1);
+ *it=_ex1();
+ something_changed=true;
+ }
+ }
+ }
+ ++it;
+ }
+
+ // process only lor_vec objects
+ bool jump_to_next=false;
+ exvector::iterator it1=v_contracted.begin();
+ while (it1!=v_contracted.end()-1) {
+ if (is_ex_exactly_of_type(*it1,simp_lor) &&
+ (ex_to_simp_lor(*it1).type==simp_lor::simp_lor_vec)) {
+ exvector::iterator it2=it1+1;
+ while ((it2!=v_contracted.end())&&!jump_to_next) {
+ if (is_ex_exactly_of_type(*it2,simp_lor) &&
+ (ex_to_simp_lor(*it2).type==simp_lor::simp_lor_vec)) {
+ const simp_lor & vec1=ex_to_simp_lor(*it1);
+ const simp_lor & vec2=ex_to_simp_lor(*it2);
+ GINAC_ASSERT(vec1.seq.size()==1);
+ GINAC_ASSERT(vec2.seq.size()==1);
+ const lorentzidx & idx1=ex_to_lorentzidx(vec1.seq[0]);
+ const lorentzidx & idx2=ex_to_lorentzidx(vec2.seq[0]);
+ if (idx1.is_symbolic() &&
+ idx1.is_co_contra_pair(idx2) &&
+ sp.is_defined(vec1,vec2)) {
+ *it1=sp.evaluate(vec1,vec2);
+ *it2=_ex1();
+ something_changed=true;
+ jump_to_next=true;
+ }
+ }
+ ++it2;
+ }
+ jump_to_next=false;
+ }
+ ++it1;
+ }
+ if (something_changed) {
+ return mul(v_contracted);
+ }
+ return m;
}
-ex simplify_simp_lor_mul(ex const & m, scalar_products const & sp)
+ex simplify_simp_lor(const ex & e, const scalar_products & sp)
{
- ASSERT(is_ex_exactly_of_type(m,mul));
- exvector v_contracted;
+ // all simplification is done on expanded objects
+ ex e_expanded=e.expand();
+
+ // simplification of sum=sum of simplifications
+ if (is_ex_exactly_of_type(e_expanded,add)) {
+ ex sum=_ex0();
+ for (unsigned i=0; i<e_expanded.nops(); ++i)
+ sum += simplify_simp_lor(e_expanded.op(i),sp);
+
+ return sum;
+ }
- // collect factors in an exvector, store squares twice
- int n=m.nops();
- v_contracted.reserve(2*n);
- for (int i=0; i<n; ++i) {
- ex f=m.op(i);
- if (is_ex_exactly_of_type(f,power)&&f.op(1)==2) {
- v_contracted.push_back(f.op(0));
- v_contracted.push_back(f.op(0));
- } else {
- v_contracted.push_back(f);
+ // simplification of commutative product=commutative product of simplifications
+ if (is_ex_exactly_of_type(e_expanded,mul)) {
+ return simplify_simp_lor_mul(e,sp);
}
- }
-
- unsigned replacements;
- bool something_changed=false;
-
- exvector::iterator it=v_contracted.begin();
- while (it!=v_contracted.end()) {
- // process only lor_g objects
- if (is_ex_exactly_of_type(*it,simp_lor) &&
- (ex_to_simp_lor(*it).type==simp_lor::simp_lor_g)) {
- simp_lor const & g=ex_to_simp_lor(*it);
- ASSERT(g.seq.size()==2);
- idx const & first_idx=ex_to_lorentzidx(g.seq[0]);
- idx const & second_idx=ex_to_lorentzidx(g.seq[1]);
- // g_{mu,mu} should have been contracted in simp_lor::eval()
- ASSERT(!first_idx.is_equal(second_idx));
- ex saved_g=*it; // save to restore it later
-
- // try to contract first index
- replacements=0;
- if (first_idx.is_symbolic()) {
- replacements = subs_index_in_exvector(v_contracted,
- first_idx.toggle_covariant(),second_idx);
- if (replacements==0) {
- // not contracted, restore g object
- *it=saved_g;
- } else {
- // a contracted index should occur exactly once
- ASSERT(replacements==1);
- *it=exONE();
- something_changed=true;
- }
- }
-
- // try second index only if first was not contracted
- if ((replacements==0)&&(second_idx.is_symbolic())) {
- // first index not contracted, *it is again the original g object
- replacements = subs_index_in_exvector(v_contracted,
- second_idx.toggle_covariant(),first_idx);
- if (replacements==0) {
- // not contracted except in itself, restore g object
- *it=saved_g;
- } else {
- // a contracted index should occur exactly once
- ASSERT(replacements==1);
- *it=exONE();
- something_changed=true;
- }
- }
- }
- ++it;
- }
-
- // process only lor_vec objects
- bool jump_to_next=false;
- exvector::iterator it1=v_contracted.begin();
- while (it1!=v_contracted.end()-1) {
- if (is_ex_exactly_of_type(*it1,simp_lor) &&
- (ex_to_simp_lor(*it1).type==simp_lor::simp_lor_vec)) {
- exvector::iterator it2=it1+1;
- while ((it2!=v_contracted.end())&&!jump_to_next) {
- if (is_ex_exactly_of_type(*it2,simp_lor) &&
- (ex_to_simp_lor(*it2).type==simp_lor::simp_lor_vec)) {
- simp_lor const & vec1=ex_to_simp_lor(*it1);
- simp_lor const & vec2=ex_to_simp_lor(*it2);
- ASSERT(vec1.seq.size()==1);
- ASSERT(vec2.seq.size()==1);
- lorentzidx const & idx1=ex_to_lorentzidx(vec1.seq[0]);
- lorentzidx const & idx2=ex_to_lorentzidx(vec2.seq[0]);
- if (idx1.is_symbolic() &&
- idx1.is_co_contra_pair(idx2) &&
- sp.is_defined(vec1,vec2)) {
- *it1=sp.evaluate(vec1,vec2);
- *it2=exONE();
- something_changed=true;
- jump_to_next=true;
- }
- }
- ++it2;
- }
- jump_to_next=false;
- }
- ++it1;
- }
- if (something_changed) {
- return mul(v_contracted);
- }
- return m;
-}
-
-ex simplify_simp_lor(ex const & e, scalar_products const & sp)
-{
- // all simplification is done on expanded objects
- ex e_expanded=e.expand();
-
- // simplification of sum=sum of simplifications
- if (is_ex_exactly_of_type(e_expanded,add)) {
- ex sum=exZERO();
- for (int i=0; i<e_expanded.nops(); ++i) {
- sum += simplify_simp_lor(e_expanded.op(i),sp);
- }
- return sum;
- }
-
- // simplification of commutative product=commutative product of simplifications
- if (is_ex_exactly_of_type(e_expanded,mul)) {
- return simplify_simp_lor_mul(e,sp);
- }
-
- // cannot do anything
- return e_expanded;
-}
-
-ex Dim(void)
-{
- static symbol * d=new symbol("dim");
- return *d;
+
+ // cannot do anything
+ return e_expanded;
}
+//ex Dim(void) // FIXME: what's going on here?
+//{
+// static symbol * d=new symbol("dim");
+// return *d;
+//}
+
//////////
// helper classes
//////////
-void scalar_products::reg(simp_lor const & v1, simp_lor const & v2,
- ex const & sp)
+void scalar_products::reg(const simp_lor & v1, const simp_lor & v2,
+ const ex & sp)
{
- if (v1.compare_same_type(v2)>0) {
- reg(v2,v1,sp);
- return;
- }
- spm[make_key(v1,v2)]=sp;
+ if (v1.compare_same_type(v2)>0) {
+ reg(v2,v1,sp);
+ return;
+ }
+ spm[make_key(v1,v2)]=sp;
}
-bool scalar_products::is_defined(simp_lor const & v1, simp_lor const & v2) const
+bool scalar_products::is_defined(const simp_lor & v1, const simp_lor & v2) const
{
- if (v1.compare_same_type(v2)>0) {
- return is_defined(v2,v1);
- }
- return spm.find(make_key(v1,v2))!=spm.end();
+ if (v1.compare_same_type(v2)>0) {
+ return is_defined(v2,v1);
+ }
+ return spm.find(make_key(v1,v2))!=spm.end();
}
-ex scalar_products::evaluate(simp_lor const & v1, simp_lor const & v2) const
+ex scalar_products::evaluate(const simp_lor & v1, const simp_lor & v2) const
{
- if (v1.compare_same_type(v2)>0) {
- return evaluate(v2,v1);
- }
- return spm.find(make_key(v1,v2))->second;
+ if (v1.compare_same_type(v2)>0) {
+ return evaluate(v2,v1);
+ }
+ return spm.find(make_key(v1,v2))->second;
}
void scalar_products::debugprint(void) const
{
- cerr << "map size=" << spm.size() << endl;
- for (spmap::const_iterator cit=spm.begin(); cit!=spm.end(); ++cit) {
- spmapkey const & k=(*cit).first;
- cerr << "item key=((" << k.first.first
- << "," << k.first.second << "),";
- k.second.printraw(cerr);
- cerr << ") value=" << (*cit).second << endl;
- }
+ std::cerr << "map size=" << spm.size() << std::endl;
+ for (spmap::const_iterator cit=spm.begin(); cit!=spm.end(); ++cit) {
+ const spmapkey & k=(*cit).first;
+ std::cerr << "item key=((" << k.first.first
+ << "," << k.first.second << "),";
+ k.second.printraw(cerr);
+ cerr << ") value=" << (*cit).second << std::endl;
+ }
}
-spmapkey scalar_products::make_key(simp_lor const & v1, simp_lor const & v2)
+spmapkey scalar_products::make_key(const simp_lor & v1, const simp_lor & v2)
{
- ASSERT(v1.type==simp_lor::simp_lor_vec);
- ASSERT(v2.type==simp_lor::simp_lor_vec);
- lorentzidx anon=ex_to_lorentzidx(v1.seq[0]).create_anonymous_representative();
- ASSERT(anon.is_equal_same_type(ex_to_lorentzidx(v2.seq[0]).create_anonymous_representative()));
- return spmapkey(strstrpair(v1.name,v2.name),anon);
+ GINAC_ASSERT(v1.type==simp_lor::simp_lor_vec);
+ GINAC_ASSERT(v2.type==simp_lor::simp_lor_vec);
+ lorentzidx anon=ex_to_lorentzidx(v1.seq[0]).create_anonymous_representative();
+ GINAC_ASSERT(anon.is_equal_same_type(ex_to_lorentzidx(v2.seq[0]).create_anonymous_representative()));
+ return spmapkey(strstrpair(v1.name,v2.name),anon);
}
-
-
+#ifndef NO_NAMESPACE_GINAC
+} // namespace GiNaC
+#endif // ndef NO_NAMESPACE_GINAC