#include "numeric.h"
#include "relational.h"
#include "debugmsg.h"
+#include "utils.h"
+#ifndef NO_GINAC_NAMESPACE
namespace GiNaC {
+#endif // ndef NO_GINAC_NAMESPACE
//////////
// default constructor, destructor, copy constructor assignment operator and helpers
color::color(color_types const t, unsigned const rl) : type(t), representation_label(rl)
{
debugmsg("color constructor from color_types,unsigned",LOGLEVEL_CONSTRUCT);
- ASSERT(representation_label<MAX_REPRESENTATION_LABELS);
+ GINAC_ASSERT(representation_label<MAX_REPRESENTATION_LABELS);
tinfo_key=TINFO_color;
- ASSERT(all_of_type_coloridx());
+ GINAC_ASSERT(all_of_type_coloridx());
}
color::color(color_types const t, ex const & i1, unsigned const rl)
: indexed(i1), type(t), representation_label(rl)
{
debugmsg("color constructor from color_types,ex,unsigned",LOGLEVEL_CONSTRUCT);
- ASSERT(representation_label<MAX_REPRESENTATION_LABELS);
+ GINAC_ASSERT(representation_label<MAX_REPRESENTATION_LABELS);
tinfo_key=TINFO_color;
- ASSERT(all_of_type_coloridx());
+ GINAC_ASSERT(all_of_type_coloridx());
}
color::color(color_types const t, ex const & i1, ex const & i2, unsigned const rl)
: indexed(i1,i2), type(t), representation_label(rl)
{
debugmsg("color constructor from color_types,ex,ex,unsigned",LOGLEVEL_CONSTRUCT);
- ASSERT(representation_label<MAX_REPRESENTATION_LABELS);
+ GINAC_ASSERT(representation_label<MAX_REPRESENTATION_LABELS);
tinfo_key=TINFO_color;
- ASSERT(all_of_type_coloridx());
+ GINAC_ASSERT(all_of_type_coloridx());
}
color::color(color_types const t, ex const & i1, ex const & i2, ex const & i3,
unsigned const rl) : indexed(i1,i2,i3), type(t), representation_label(rl)
{
debugmsg("color constructor from color_types,ex,ex,ex,unsigned",LOGLEVEL_CONSTRUCT);
- ASSERT(representation_label<MAX_REPRESENTATION_LABELS);
+ GINAC_ASSERT(representation_label<MAX_REPRESENTATION_LABELS);
tinfo_key=TINFO_color;
- ASSERT(all_of_type_coloridx());
+ GINAC_ASSERT(all_of_type_coloridx());
}
color::color(color_types const t, exvector const & iv, unsigned const rl)
: indexed(iv), type(t), representation_label(rl)
{
debugmsg("color constructor from color_types,exvector,unsigned",LOGLEVEL_CONSTRUCT);
- ASSERT(representation_label<MAX_REPRESENTATION_LABELS);
+ GINAC_ASSERT(representation_label<MAX_REPRESENTATION_LABELS);
tinfo_key=TINFO_color;
- ASSERT(all_of_type_coloridx());
+ GINAC_ASSERT(all_of_type_coloridx());
}
color::color(color_types const t, exvector * ivp, unsigned const rl)
: indexed(ivp), type(t), representation_label(rl)
{
debugmsg("color constructor from color_types,exvector *,unsigned",LOGLEVEL_CONSTRUCT);
- ASSERT(representation_label<MAX_REPRESENTATION_LABELS);
+ GINAC_ASSERT(representation_label<MAX_REPRESENTATION_LABELS);
tinfo_key=TINFO_color;
- ASSERT(all_of_type_coloridx());
+ GINAC_ASSERT(all_of_type_coloridx());
}
//////////
int sig=canonicalize_indices(iv,antisymmetric);
if (sig!=INT_MAX) {
// something has changed while sorting indices, more evaluations later
- if (sig==0) return exZERO();
+ if (sig==0) return _ex0();
return ex(sig)*color(type,iv,representation_label);
}
}
switch (type) {
case color_delta8:
{
- ASSERT(seq.size()==2);
+ GINAC_ASSERT(seq.size()==2);
coloridx const & idx1=ex_to_coloridx(seq[0]);
coloridx const & idx2=ex_to_coloridx(seq[1]);
// check for delta8_{a,b} where a and b are numeric indices, replace by 0 or 1
if ((!idx1.is_symbolic())&&(!idx2.is_symbolic())) {
if ((idx1.get_value()!=idx2.get_value())) {
- return exONE();
+ return _ex1();
} else {
- return exZERO();
+ return _ex0();
}
}
}
case color_d:
// check for d_{a,a,c} (=0) when a is symbolic
{
- ASSERT(seq.size()==3);
+ GINAC_ASSERT(seq.size()==3);
coloridx const & idx1=ex_to_coloridx(seq[0]);
coloridx const & idx2=ex_to_coloridx(seq[1]);
coloridx const & idx3=ex_to_coloridx(seq[2]);
if (idx1.is_equal_same_type(idx2) && idx1.is_symbolic()) {
- return exZERO();
+ return _ex0();
} else if (idx2.is_equal_same_type(idx3) && idx2.is_symbolic()) {
- return exZERO();
+ return _ex0();
}
// check for three numeric indices
if (!(idx1.is_symbolic()||idx2.is_symbolic()||idx3.is_symbolic())) {
- ASSERT(idx1.get_value()<=idx2.get_value());
- ASSERT(idx2.get_value()<=idx3.get_value());
+ GINAC_ASSERT(idx1.get_value()<=idx2.get_value());
+ GINAC_ASSERT(idx2.get_value()<=idx3.get_value());
if (CMPINDICES(1,4,6)||CMPINDICES(1,5,7)||CMPINDICES(2,5,6)||
CMPINDICES(3,4,4)||CMPINDICES(3,5,5)) {
- return exHALF();
+ return _ex1_2();
} else if (CMPINDICES(2,4,7)||CMPINDICES(3,6,6)||CMPINDICES(3,7,7)) {
- return -exHALF();
+ return -_ex1_2();
} else if (CMPINDICES(1,1,8)||CMPINDICES(2,2,8)||CMPINDICES(3,3,8)) {
return 1/sqrt(numeric(3));
} else if (CMPINDICES(8,8,8)) {
} else if (CMPINDICES(4,4,8)||CMPINDICES(5,5,8)||CMPINDICES(6,6,8)||CMPINDICES(7,7,8)) {
return -1/(2*sqrt(numeric(3)));
}
- return exZERO();
+ return _ex0();
}
}
break;
case color_f:
{
- ASSERT(seq.size()==3);
+ GINAC_ASSERT(seq.size()==3);
coloridx const & idx1=ex_to_coloridx(seq[0]);
coloridx const & idx2=ex_to_coloridx(seq[1]);
coloridx const & idx3=ex_to_coloridx(seq[2]);
// check for three numeric indices
if (!(idx1.is_symbolic()||idx2.is_symbolic()||idx3.is_symbolic())) {
- ASSERT(idx1.get_value()<=idx2.get_value());
- ASSERT(idx2.get_value()<=idx3.get_value());
+ GINAC_ASSERT(idx1.get_value()<=idx2.get_value());
+ GINAC_ASSERT(idx2.get_value()<=idx3.get_value());
if (CMPINDICES(1,2,3)) {
- return exONE();
+ return _ex1();
} else if (CMPINDICES(1,4,7)||CMPINDICES(2,4,6)||
CMPINDICES(2,5,7)||CMPINDICES(3,4,5)) {
- return exHALF();
+ return _ex1_2();
} else if (CMPINDICES(1,5,6)||CMPINDICES(3,6,7)) {
- return -exHALF();
+ return -_ex1_2();
} else if (CMPINDICES(4,5,8)||CMPINDICES(6,7,8)) {
return sqrt(numeric(3))/2;
} else if (CMPINDICES(8,8,8)) {
} else if (CMPINDICES(4,4,8)||CMPINDICES(5,5,8)||CMPINDICES(6,6,8)||CMPINDICES(7,7,8)) {
return -1/(2*sqrt(numeric(3)));
}
- return exZERO();
+ return _ex0();
}
break;
}
int color::compare_same_type(basic const & other) const
{
- ASSERT(other.tinfo() == TINFO_color);
+ GINAC_ASSERT(other.tinfo() == TINFO_color);
const color *o = static_cast<const color *>(&other);
if (type==o->type) {
if (representation_label==o->representation_label) {
bool color::is_equal_same_type(basic const & other) const
{
- ASSERT(other.tinfo() == TINFO_color);
+ GINAC_ASSERT(other.tinfo() == TINFO_color);
const color *o = static_cast<const color *>(&other);
if (type!=o->type) return false;
if (representation_label!=o->representation_label) return false;
// process only delta8 objects
if (is_ex_exactly_of_type(*it,color) && (ex_to_color(*it).type==color_delta8)) {
color & d8=ex_to_nonconst_color(*it);
- ASSERT(d8.seq.size()==2);
+ GINAC_ASSERT(d8.seq.size()==2);
coloridx const & first_idx=ex_to_coloridx(d8.seq[0]);
coloridx const & second_idx=ex_to_coloridx(d8.seq[1]);
// delta8_{a,a} should have been contracted in color::eval()
- ASSERT((!first_idx.is_equal(second_idx))||(!first_idx.is_symbolic()));
+ GINAC_ASSERT((!first_idx.is_equal(second_idx))||(!first_idx.is_symbolic()));
ex saved_delta8=*it; // save to restore it later
// try to contract first index
*it=saved_delta8;
} else {
// a contracted index should occur exactly twice
- ASSERT(replacements==2);
- *it=exONE();
+ GINAC_ASSERT(replacements==2);
+ *it=_ex1();
something_changed=true;
}
}
*it=saved_delta8;
} else {
// a contracted index should occur exactly twice
- ASSERT(replacements==2);
- *it=exONE();
+ GINAC_ASSERT(replacements==2);
+ *it=_ex1();
something_changed=true;
}
}
exvector delta8vec;
exvector fvec;
exvector dvec;
- vector<exvector> Tvecs;
+ exvectorvector Tvecs;
Tvecs.resize(MAX_REPRESENTATION_LABELS);
- vector<exvector> ONEvecs;
+ exvectorvector ONEvecs;
ONEvecs.resize(MAX_REPRESENTATION_LABELS);
exvector unknownvec;
if ((dvec.size()>=1)&&(fvec.size()>=1)) {
for (exvector::iterator it1=dvec.begin(); it1!=dvec.end(); ++it1) {
for (exvector::iterator it2=fvec.begin(); it2!=fvec.end(); ++it2) {
- ASSERT(is_ex_exactly_of_type(*it1,color));
- ASSERT(is_ex_exactly_of_type(*it2,color));
+ GINAC_ASSERT(is_ex_exactly_of_type(*it1,color));
+ GINAC_ASSERT(is_ex_exactly_of_type(*it2,color));
color const & col1=ex_to_color(*it1);
color const & col2=ex_to_color(*it2);
exvector iv_intersect=idx_intersect(col1.seq,col2.seq);
- if (iv_intersect.size()>=2) return exZERO();
+ if (iv_intersect.size()>=2) return _ex0();
}
}
}
if (dvec.size()>=2) {
for (exvector::iterator it1=dvec.begin(); it1!=dvec.end()-1; ++it1) {
for (exvector::iterator it2=it1+1; it2!=dvec.end(); ++it2) {
- ASSERT(is_ex_exactly_of_type(*it1,color));
- ASSERT(is_ex_exactly_of_type(*it2,color));
+ GINAC_ASSERT(is_ex_exactly_of_type(*it1,color));
+ GINAC_ASSERT(is_ex_exactly_of_type(*it2,color));
color const & col1=ex_to_color(*it1);
color const & col2=ex_to_color(*it2);
exvector iv_intersect=idx_intersect(col1.seq,col2.seq);
if (iv_intersect.size()>=2) {
if (iv_intersect.size()==3) {
*it1=numeric(40)/numeric(3);
- *it2=exONE();
+ *it2=_ex1();
} else {
int sig1, sig2; // unimportant, since symmetric
ex idx1=permute_free_index_to_front(col1.seq,iv_intersect,false,&sig1);
ex idx2=permute_free_index_to_front(col2.seq,iv_intersect,false,&sig2);
*it1=numeric(5)/numeric(3)*color(color_delta8,idx1,idx2);
- *it2=exONE();
+ *it2=_ex1();
}
return nonsimplified_ncmul(recombine_color_string(
delta8vec,fvec,dvec,Tvecs,ONEvecs,unknownvec));
if (fvec.size()>=2) {
for (exvector::iterator it1=fvec.begin(); it1!=fvec.end()-1; ++it1) {
for (exvector::iterator it2=it1+1; it2!=fvec.end(); ++it2) {
- ASSERT(is_ex_exactly_of_type(*it1,color));
- ASSERT(is_ex_exactly_of_type(*it2,color));
+ GINAC_ASSERT(is_ex_exactly_of_type(*it1,color));
+ GINAC_ASSERT(is_ex_exactly_of_type(*it2,color));
color const & col1=ex_to_color(*it1);
color const & col2=ex_to_color(*it2);
exvector iv_intersect=idx_intersect(col1.seq,col2.seq);
if (iv_intersect.size()>=2) {
if (iv_intersect.size()==3) {
*it1=numeric(24);
- *it2=exONE();
+ *it2=_ex1();
} else {
int sig1, sig2;
ex idx1=permute_free_index_to_front(col1.seq,iv_intersect,true,&sig1);
ex idx2=permute_free_index_to_front(col2.seq,iv_intersect,true,&sig2);
*it1=numeric(sig1*sig2*5)/numeric(3)*color(color_delta8,idx1,idx2);
- *it2=exONE();
+ *it2=_ex1();
}
return nonsimplified_ncmul(recombine_color_string(
delta8vec,fvec,dvec,Tvecs,ONEvecs,unknownvec));
if ((Tvecs[rl].size()>=2)&&((dvec.size()>=1)||(fvec.size()>=1))) {
for (exvector::iterator it1=Tvecs[rl].begin(); it1!=Tvecs[rl].end()-1; ++it1) {
exvector iv;
- ASSERT(is_ex_exactly_of_type(*it1,color)&&ex_to_color(*it1).type==color_T);
- ASSERT(is_ex_exactly_of_type(*(it1+1),color)&&ex_to_color(*(it1+1)).type==color_T);
+ GINAC_ASSERT(is_ex_exactly_of_type(*it1,color)&&ex_to_color(*it1).type==color_T);
+ GINAC_ASSERT(is_ex_exactly_of_type(*(it1+1),color)&&ex_to_color(*(it1+1)).type==color_T);
iv.push_back(ex_to_color(*it1).seq[0]);
iv.push_back(ex_to_color(*(it1+1)).seq[0]);
// d_{a,b,c} T_b T_c = 5/6 T_a
for (exvector::iterator it2=dvec.begin(); it2!=dvec.end(); ++it2) {
- ASSERT(is_ex_exactly_of_type(*it2,color)&&ex_to_color(*it2).type==color_d);
+ GINAC_ASSERT(is_ex_exactly_of_type(*it2,color)&&ex_to_color(*it2).type==color_d);
color const & dref=ex_to_color(*it2);
exvector iv_intersect=idx_intersect(dref.seq,iv);
if (iv_intersect.size()==2) {
// f_{a,b,c} T_b T_c = 3/2 I T_a
for (exvector::iterator it2=fvec.begin(); it2!=fvec.end(); ++it2) {
- ASSERT(is_ex_exactly_of_type(*it2,color)&&ex_to_color(*it2).type==color_f);
+ GINAC_ASSERT(is_ex_exactly_of_type(*it2,color)&&ex_to_color(*it2).type==color_f);
color const & fref=ex_to_color(*it2);
exvector iv_intersect=idx_intersect(fref.seq,iv);
if (iv_intersect.size()==2) {
void split_color_string_in_parts(exvector const & v, exvector & delta8vec,
exvector & fvec, exvector & dvec,
- vector<exvector> & Tvecs,
- vector<exvector> & ONEvecs,
+ exvectorvector & Tvecs,
+ exvectorvector & ONEvecs,
exvector & unknownvec)
{
// if not all elements are of type color, put all Ts in unknownvec to
dvec.push_back(*cit);
break;
case color::color_T:
- ASSERT(ex_to_color(*cit).representation_label<MAX_REPRESENTATION_LABELS);
+ GINAC_ASSERT(ex_to_color(*cit).representation_label<MAX_REPRESENTATION_LABELS);
if (all_color) {
Tvecs[ex_to_color(*cit).representation_label].push_back(*cit);
} else {
}
break;
case color::color_ONE:
- ASSERT(ex_to_color(*cit).representation_label<MAX_REPRESENTATION_LABELS);
+ GINAC_ASSERT(ex_to_color(*cit).representation_label<MAX_REPRESENTATION_LABELS);
ONEvecs[ex_to_color(*cit).representation_label].push_back(*cit);
break;
default:
}
exvector recombine_color_string(exvector & delta8vec, exvector & fvec,
- exvector & dvec, vector<exvector> & Tvecs,
- vector<exvector> & ONEvecs, exvector & unknownvec)
+ exvector & dvec, exvectorvector & Tvecs,
+ exvectorvector & ONEvecs, exvector & unknownvec)
{
unsigned sz=delta8vec.size()+fvec.size()+dvec.size()+unknownvec.size();
for (unsigned rl=0; rl<MAX_REPRESENTATION_LABELS; ++rl) {
if (v.size()==0) {
return numeric(COLOR_THREE);
} else if (v.size()==1) {
- ASSERT(is_ex_exactly_of_type(*(v.begin()),color));
- return exZERO();
+ GINAC_ASSERT(is_ex_exactly_of_type(*(v.begin()),color));
+ return _ex0();
}
exvector v1=v;
ex last_element=v1.back();
- ASSERT(is_ex_exactly_of_type(last_element,color));
- ASSERT(ex_to_color(last_element).type==color::color_T);
+ GINAC_ASSERT(is_ex_exactly_of_type(last_element,color));
+ GINAC_ASSERT(ex_to_color(last_element).type==color::color_T);
v1.pop_back();
ex next_to_last_element=v1.back();
- ASSERT(is_ex_exactly_of_type(next_to_last_element,color));
- ASSERT(ex_to_color(next_to_last_element).type==color::color_T);
+ GINAC_ASSERT(is_ex_exactly_of_type(next_to_last_element,color));
+ GINAC_ASSERT(ex_to_color(next_to_last_element).type==color::color_T);
v1.pop_back();
exvector v2=v1;
ex color_trace(exvector const & v, unsigned const rl)
{
- ASSERT(rl<MAX_REPRESENTATION_LABELS);
+ GINAC_ASSERT(rl<MAX_REPRESENTATION_LABELS);
exvector v_rest;
v_rest.reserve(v.size()+1); // max size if trace is empty
exvector delta8vec;
exvector fvec;
exvector dvec;
- vector<exvector> Tvecs;
+ exvectorvector Tvecs;
Tvecs.resize(MAX_REPRESENTATION_LABELS);
- vector<exvector> ONEvecs;
+ exvectorvector ONEvecs;
ONEvecs.resize(MAX_REPRESENTATION_LABELS);
exvector unknownvec;
ex simplify_pure_color_string(ex const & e)
{
- ASSERT(is_ex_exactly_of_type(e,ncmul));
+ GINAC_ASSERT(is_ex_exactly_of_type(e,ncmul));
exvector delta8vec;
exvector fvec;
exvector dvec;
- vector<exvector> Tvecs;
+ exvectorvector Tvecs;
Tvecs.resize(MAX_REPRESENTATION_LABELS);
- vector<exvector> ONEvecs;
+ exvectorvector ONEvecs;
ONEvecs.resize(MAX_REPRESENTATION_LABELS);
exvector unknownvec;
for (unsigned j=i+1; j<Tvecs[rl].size(); ++j) {
ex & t1=Tvecs[rl][i];
ex & t2=Tvecs[rl][j];
- ASSERT(is_ex_exactly_of_type(t1,color)&&
+ GINAC_ASSERT(is_ex_exactly_of_type(t1,color)&&
(ex_to_color(t1).type==color::color_T)&&
(ex_to_color(t1).seq.size()==1));
- ASSERT(is_ex_exactly_of_type(t2,color)&&
+ GINAC_ASSERT(is_ex_exactly_of_type(t2,color)&&
(ex_to_color(t2).type==color::color_T)&&
(ex_to_color(t2).seq.size()==1));
coloridx const & idx1=ex_to_coloridx(ex_to_color(t1).seq[0]);
for (unsigned k=i+1; k<j; ++k) {
S.push_back(Tvecs[rl][k]);
}
- t1=exONE();
- t2=exONE();
+ t1=_ex1();
+ t2=_ex1();
ex term1=numeric(-1)/numeric(6)*nonsimplified_ncmul(recombine_color_string(
delta8vec,fvec,dvec,Tvecs,ONEvecs,unknownvec));
for (unsigned k=i+1; k<j; ++k) {
- S.push_back(exONE());
+ S.push_back(_ex1());
}
t1=color_trace_of_one_representation_label(S);
ex term2=numeric(1)/numeric(2)*nonsimplified_ncmul(recombine_color_string(
// simplification of sum=sum of simplifications
if (is_ex_exactly_of_type(e_expanded,add)) {
- ex sum=exZERO();
+ ex sum=_ex0();
for (int i=0; i<e_expanded.nops(); ++i) {
sum += simplify_color(e_expanded.op(i));
}
// simplification of commutative product=commutative product of simplifications
if (is_ex_exactly_of_type(e_expanded,mul)) {
- ex prod=exONE();
+ ex prod=_ex1();
for (int i=0; i<e_expanded.nops(); ++i) {
prod *= simplify_color(e_expanded.op(i));
}
// find double symbolic indices
if (iv_all.size()<2) return e;
for (exvector::const_iterator cit1=iv_all.begin(); cit1!=iv_all.end()-1; ++cit1) {
- ASSERT(is_ex_of_type(*cit1,coloridx));
+ GINAC_ASSERT(is_ex_of_type(*cit1,coloridx));
for (exvector::const_iterator cit2=cit1+1; cit2!=iv_all.end(); ++cit2) {
- ASSERT(is_ex_of_type(*cit2,coloridx));
+ GINAC_ASSERT(is_ex_of_type(*cit2,coloridx));
if (ex_to_coloridx(*cit1).is_symbolic() &&
ex_to_coloridx(*cit1).is_equal(ex_to_coloridx(*cit2))) {
iv_double.push_back(*cit1);
counter[l]=1;
}
- ex sum=exZERO();
+ ex sum=_ex0();
while (1) {
ex term=e;
}
}
+#ifndef NO_GINAC_NAMESPACE
} // namespace GiNaC
+#endif // ndef NO_GINAC_NAMESPACE
+
git://www.ginac.de / ginac.git / blobdiff