mirror of
https://github.com/paboyle/Grid.git
synced 2024-11-14 01:35:36 +00:00
237 lines
6.9 KiB
C++
237 lines
6.9 KiB
C++
/*************************************************************************************
|
|
|
|
Grid physics library, www.github.com/paboyle/Grid
|
|
|
|
Source file: ./lib/tensors/Tensor_reality.h
|
|
|
|
Copyright (C) 2015
|
|
|
|
Author: Peter Boyle <paboyle@ph.ed.ac.uk>
|
|
Author: neo <cossu@post.kek.jp>
|
|
|
|
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
|
|
the Free Software Foundation; either version 2 of the License, or
|
|
(at your option) any later version.
|
|
|
|
This program is distributed in the hope that it will be useful,
|
|
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
|
GNU General Public License for more details.
|
|
|
|
You should have received a copy of the GNU General Public License along
|
|
with this program; if not, write to the Free Software Foundation, Inc.,
|
|
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
|
|
|
|
See the full license in the file "LICENSE" in the top level distribution directory
|
|
*************************************************************************************/
|
|
/* END LEGAL */
|
|
#ifndef GRID_MATH_REALITY_H
|
|
#define GRID_MATH_REALITY_H
|
|
|
|
NAMESPACE_BEGIN(Grid);
|
|
|
|
///////////////////////////////////////////////
|
|
// multiply by I; make recursive.
|
|
///////////////////////////////////////////////
|
|
template<class vtype> inline iScalar<vtype> timesI(const iScalar<vtype>&r)
|
|
{
|
|
iScalar<vtype> ret;
|
|
timesI(ret._internal,r._internal);
|
|
return ret;
|
|
}
|
|
template<class vtype,int N> inline iVector<vtype,N> timesI(const iVector<vtype,N>&r)
|
|
{
|
|
iVector<vtype,N> ret;
|
|
for(int i=0;i<N;i++){
|
|
timesI(ret._internal[i],r._internal[i]);
|
|
}
|
|
return ret;
|
|
}
|
|
template<class vtype,int N> inline iMatrix<vtype,N> timesI(const iMatrix<vtype,N>&r)
|
|
{
|
|
iMatrix<vtype,N> ret;
|
|
for(int i=0;i<N;i++){
|
|
for(int j=0;j<N;j++){
|
|
timesI(ret._internal[i][j],r._internal[i][j]);
|
|
}}
|
|
return ret;
|
|
}
|
|
|
|
template<class vtype> inline void timesI(iScalar<vtype> &ret,const iScalar<vtype>&r)
|
|
{
|
|
timesI(ret._internal,r._internal);
|
|
}
|
|
template<class vtype,int N> inline void timesI(iVector<vtype,N> &ret,const iVector<vtype,N>&r)
|
|
{
|
|
for(int i=0;i<N;i++){
|
|
timesI(ret._internal[i],r._internal[i]);
|
|
}
|
|
}
|
|
template<class vtype,int N> inline void timesI(iMatrix<vtype,N> &ret,const iMatrix<vtype,N>&r)
|
|
{
|
|
for(int i=0;i<N;i++){
|
|
for(int j=0;j<N;j++){
|
|
timesI(ret._internal[i][j],r._internal[i][j]);
|
|
}}
|
|
}
|
|
|
|
|
|
template<class vtype> inline iScalar<vtype> timesMinusI(const iScalar<vtype>&r)
|
|
{
|
|
iScalar<vtype> ret;
|
|
timesMinusI(ret._internal,r._internal);
|
|
return ret;
|
|
}
|
|
template<class vtype,int N> inline iVector<vtype,N> timesMinusI(const iVector<vtype,N>&r)
|
|
{
|
|
iVector<vtype,N> ret;
|
|
for(int i=0;i<N;i++){
|
|
timesMinusI(ret._internal[i],r._internal[i]);
|
|
}
|
|
return ret;
|
|
}
|
|
template<class vtype,int N> inline iMatrix<vtype,N> timesMinusI(const iMatrix<vtype,N>&r)
|
|
{
|
|
iMatrix<vtype,N> ret;
|
|
for(int i=0;i<N;i++){
|
|
for(int j=0;j<N;j++){
|
|
timesMinusI(ret._internal[i][j],r._internal[i][j]);
|
|
}}
|
|
return ret;
|
|
}
|
|
|
|
template<class vtype> inline void timesMinusI(iScalar<vtype> &ret,const iScalar<vtype>&r)
|
|
{
|
|
timesMinusI(ret._internal,r._internal);
|
|
}
|
|
template<class vtype,int N> inline void timesMinusI(iVector<vtype,N> &ret,const iVector<vtype,N>&r)
|
|
{
|
|
for(int i=0;i<N;i++){
|
|
timesMinusI(ret._internal[i],r._internal[i]);
|
|
}
|
|
}
|
|
template<class vtype,int N> inline void timesMinusI(iMatrix<vtype,N> &ret,const iMatrix<vtype,N>&r)
|
|
{
|
|
for(int i=0;i<N;i++){
|
|
for(int j=0;j<N;j++){
|
|
timesMinusI(ret._internal[i][j],r._internal[i][j]);
|
|
}}
|
|
}
|
|
|
|
|
|
///////////////////////////////////////////////
|
|
// Conj function for scalar, vector, matrix
|
|
///////////////////////////////////////////////
|
|
template<class vtype> inline iScalar<vtype> conjugate(const iScalar<vtype>&r)
|
|
{
|
|
iScalar<vtype> ret;
|
|
ret._internal = conjugate(r._internal);
|
|
return ret;
|
|
}
|
|
template<class vtype,int N> inline iVector<vtype,N> conjugate(const iVector<vtype,N>&r)
|
|
{
|
|
iVector<vtype,N> ret;
|
|
for(int i=0;i<N;i++){
|
|
ret._internal[i] = conjugate(r._internal[i]);
|
|
}
|
|
return ret;
|
|
}
|
|
template<class vtype,int N> inline iMatrix<vtype,N> conjugate(const iMatrix<vtype,N>&r)
|
|
{
|
|
iMatrix<vtype,N> ret;
|
|
for(int i=0;i<N;i++){
|
|
for(int j=0;j<N;j++){
|
|
ret._internal[i][j] = conjugate(r._internal[i][j]);
|
|
}}
|
|
return ret;
|
|
}
|
|
|
|
///////////////////////////////////////////////
|
|
// Adj function for scalar, vector, matrix
|
|
///////////////////////////////////////////////
|
|
template<class vtype> inline iScalar<vtype> adj(const iScalar<vtype>&r)
|
|
{
|
|
iScalar<vtype> ret;
|
|
ret._internal = adj(r._internal);
|
|
return ret;
|
|
}
|
|
template<class vtype,int N> inline iVector<vtype,N> adj(const iVector<vtype,N>&r)
|
|
{
|
|
iVector<vtype,N> ret;
|
|
for(int i=0;i<N;i++){
|
|
ret._internal[i] = adj(r._internal[i]);
|
|
}
|
|
return ret;
|
|
}
|
|
template<class vtype,int N> inline iMatrix<vtype,N> adj(const iMatrix<vtype,N> &arg)
|
|
{
|
|
iMatrix<vtype,N> ret;
|
|
for(int c1=0;c1<N;c1++){
|
|
for(int c2=0;c2<N;c2++){
|
|
ret._internal[c1][c2]=adj(arg._internal[c2][c1]);
|
|
}}
|
|
return ret;
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
/////////////////////////////////////////////////////////////////
|
|
// Can only take the real/imag part of scalar objects, since
|
|
// lattice objects of different complex nature are non-conformable.
|
|
/////////////////////////////////////////////////////////////////
|
|
template<class itype> inline auto real(const iScalar<itype> &z) -> iScalar<decltype(real(z._internal))>
|
|
{
|
|
iScalar<decltype(real(z._internal))> ret;
|
|
ret._internal = real(z._internal);
|
|
return ret;
|
|
}
|
|
template<class itype,int N> inline auto real(const iMatrix<itype,N> &z) -> iMatrix<decltype(real(z._internal[0][0])),N>
|
|
{
|
|
iMatrix<decltype(real(z._internal[0][0])),N> ret;
|
|
for(int c1=0;c1<N;c1++){
|
|
for(int c2=0;c2<N;c2++){
|
|
ret._internal[c1][c2] = real(z._internal[c1][c2]);
|
|
}}
|
|
return ret;
|
|
}
|
|
template<class itype,int N> inline auto real(const iVector<itype,N> &z) -> iVector<decltype(real(z._internal[0])),N>
|
|
{
|
|
iVector<decltype(real(z._internal[0])),N> ret;
|
|
for(int c1=0;c1<N;c1++){
|
|
ret._internal[c1] = real(z._internal[c1]);
|
|
}
|
|
return ret;
|
|
}
|
|
|
|
template<class itype> inline auto imag(const iScalar<itype> &z) -> iScalar<decltype(imag(z._internal))>
|
|
{
|
|
iScalar<decltype(imag(z._internal))> ret;
|
|
ret._internal = imag(z._internal);
|
|
return ret;
|
|
}
|
|
template<class itype,int N> inline auto imag(const iMatrix<itype,N> &z) -> iMatrix<decltype(imag(z._internal[0][0])),N>
|
|
{
|
|
iMatrix<decltype(imag(z._internal[0][0])),N> ret;
|
|
for(int c1=0;c1<N;c1++){
|
|
for(int c2=0;c2<N;c2++){
|
|
ret._internal[c1][c2] = imag(z._internal[c1][c2]);
|
|
}}
|
|
return ret;
|
|
}
|
|
template<class itype,int N> inline auto imag(const iVector<itype,N> &z) -> iVector<decltype(imag(z._internal[0])),N>
|
|
{
|
|
iVector<decltype(imag(z._internal[0])),N> ret;
|
|
for(int c1=0;c1<N;c1++){
|
|
ret._internal[c1] = imag(z._internal[c1]);
|
|
}
|
|
return ret;
|
|
}
|
|
|
|
NAMESPACE_END(Grid);
|
|
|
|
#endif
|