mirror of
https://github.com/paboyle/Grid.git
synced 2024-09-20 09:15:38 +01:00
96 lines
3.4 KiB
C++
96 lines
3.4 KiB
C++
#ifndef GRID_MATH_TRACE_H
|
|
#define GRID_MATH_TRACE_H
|
|
namespace Grid {
|
|
//////////////////////////////////////////////////////////////////
|
|
// Traces: both all indices and a specific index
|
|
/////////////////////////////////////////////////////////////////
|
|
|
|
inline ComplexF trace( const ComplexF &arg){ return arg;}
|
|
inline ComplexD trace( const ComplexD &arg){ return arg;}
|
|
inline RealF trace( const RealF &arg){ return arg;}
|
|
inline RealD trace( const RealD &arg){ return arg;}
|
|
|
|
template<int Level> inline ComplexF traceIndex(const ComplexF arg) { return arg;}
|
|
template<int Level> inline ComplexD traceIndex(const ComplexD arg) { return arg;}
|
|
template<int Level> inline RealF traceIndex(const RealF arg) { return arg;}
|
|
template<int Level> inline RealD traceIndex(const RealD arg) { return arg;}
|
|
|
|
template<class vtype,int N>
|
|
inline auto trace(const iMatrix<vtype,N> &arg) -> iScalar<decltype(trace(arg._internal[0][0]))>
|
|
{
|
|
iScalar<decltype( trace(arg._internal[0][0] )) > ret;
|
|
zeroit(ret._internal);
|
|
for(int i=0;i<N;i++){
|
|
ret._internal=ret._internal+trace(arg._internal[i][i]);
|
|
}
|
|
return ret;
|
|
}
|
|
template<class vtype>
|
|
inline auto trace(const iScalar<vtype> &arg) -> iScalar<decltype(trace(arg._internal))>
|
|
{
|
|
iScalar<decltype(trace(arg._internal))> ret;
|
|
ret._internal=trace(arg._internal);
|
|
return ret;
|
|
}
|
|
////////////////////////////////////////////////////////////////////////////////////////////////////////
|
|
// Trace Specific indices.
|
|
////////////////////////////////////////////////////////////////////////////////////////////////////////
|
|
/*
|
|
template<int Level,class vtype> inline
|
|
auto traceIndex(const iScalar<vtype> &arg) -> iScalar<decltype(traceIndex<Level>(arg._internal)) >
|
|
{
|
|
iScalar<decltype(traceIndex<Level>(arg._internal))> ret;
|
|
ret._internal = traceIndex<Level>(arg._internal);
|
|
return ret;
|
|
}
|
|
*/
|
|
template<int Level,class vtype> inline auto
|
|
traceIndex (const iScalar<vtype> &arg) ->
|
|
typename
|
|
std::enable_if<matchGridTensorIndex<iScalar<vtype>,Level>::notvalue,
|
|
iScalar<decltype(traceIndex<Level>(arg._internal))> >::type
|
|
|
|
{
|
|
iScalar<decltype(traceIndex<Level>(arg._internal))> ret;
|
|
ret._internal=traceIndex<Level>(arg._internal);
|
|
return ret;
|
|
}
|
|
template<int Level,class vtype> inline auto
|
|
traceIndex (const iScalar<vtype> &arg) ->
|
|
typename std::enable_if<matchGridTensorIndex<iScalar<vtype>,Level>::value,
|
|
iScalar<vtype> >::type
|
|
{
|
|
return arg;
|
|
}
|
|
|
|
// If we hit the right index, return scalar and trace it with no further recursion
|
|
template<int Level,class vtype,int N> inline
|
|
auto traceIndex(const iMatrix<vtype,N> &arg) ->
|
|
typename std::enable_if<matchGridTensorIndex<iScalar<vtype>,Level>::value, // Index matches
|
|
iScalar<vtype> >::type // return scalar
|
|
{
|
|
iScalar<vtype> ret;
|
|
zeroit(ret._internal);
|
|
for(int i=0;i<N;i++){
|
|
ret._internal = ret._internal + arg._internal[i][i];
|
|
}
|
|
return ret;
|
|
}
|
|
|
|
// not this level, so recurse
|
|
template<int Level,class vtype,int N> inline
|
|
auto traceIndex(const iMatrix<vtype,N> &arg) ->
|
|
typename std::enable_if<matchGridTensorIndex<iMatrix<vtype,N>,Level>::notvalue,// No index match
|
|
iMatrix<decltype(traceIndex<Level>(arg._internal[0][0])),N> >::type // return matrix
|
|
{
|
|
iMatrix<decltype(traceIndex<Level>(arg._internal[0][0])),N> ret;
|
|
for(int i=0;i<N;i++){
|
|
for(int j=0;j<N;j++){
|
|
ret._internal[i][j] = traceIndex<Level>(arg._internal[i][j]);
|
|
}}
|
|
return ret;
|
|
}
|
|
|
|
}
|
|
#endif
|