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Grid/lib/qcd/LinalgUtils.h
Peter Boyle 2583570e17 Domain wall fermions now invert ; have the basis set up for
Tanh/Zolo * (Cayley/PartFrac/ContFrac) * (Mobius/Shamir/Wilson)
Approx        Representation               Kernel.

All are done with space-time taking part in checkerboarding, Ls uncheckerboarded

Have only so far tested the Domain Wall limit of mobius, and at that only checked
that it
i)  Inverts
ii) 5dim DW == Ls copies of 4dim D2
iii) MeeInv Mee == 1
iv) Meo+Mee+Moe+Moo == M unprec.
v) MpcDagMpc is hermitan
vi) Mdag is the adjoint of M between stochastic vectors.

That said, the RB schur solve, RB MpcDagMpc solve, Unprec solve
all converge and the true residual becomes small; so pretty good tests.
2015-06-02 16:57:12 +01:00

114 lines
3.3 KiB
C++

#ifndef GRID_QCD_LINALG_UTILS_H
#define GRID_QCD_LINALG_UTILS_H
namespace Grid{
namespace QCD{
////////////////////////////////////////////////////////////////////////
//This file brings additional linear combination assist that is helpful
//to QCD such as chiral projectors and spin matrices applied to one of the inputs.
//These routines support five-D chiral fermions and contain s-subslice indexing
//on the 5d (rb4d) checkerboarded lattices
////////////////////////////////////////////////////////////////////////
template<class vobj>
void axpby_ssp(Lattice<vobj> &z, RealD a,const Lattice<vobj> &x,RealD b,const Lattice<vobj> &y,int s,int sp)
{
z.checkerboard = x.checkerboard;
conformable(x,y);
conformable(x,z);
GridBase *grid=x._grid;
int Ls = grid->_rdimensions[0];
PARALLEL_FOR_LOOP
for(int ss=0;ss<grid->oSites();ss+=Ls){ // adds Ls
vobj tmp = a*x._odata[ss+s]+b*y._odata[ss+sp];
vstream(z._odata[ss+s],tmp);
}
}
template<class vobj>
void ag5xpby_ssp(Lattice<vobj> &z,RealD a,const Lattice<vobj> &x,RealD b,const Lattice<vobj> &y,int s,int sp)
{
z.checkerboard = x.checkerboard;
conformable(x,y);
conformable(x,z);
GridBase *grid=x._grid;
int Ls = grid->_rdimensions[0];
PARALLEL_FOR_LOOP
for(int ss=0;ss<grid->oSites();ss+=Ls){ // adds Ls
vobj tmp;
multGamma5(tmp(),a*x._odata[ss+s]());
tmp = tmp + b*y._odata[ss+sp];
vstream(z._odata[ss+s],tmp);
}
}
template<class vobj>
void axpbg5y_ssp(Lattice<vobj> &z,RealD a,const Lattice<vobj> &x,RealD b,const Lattice<vobj> &y,int s,int sp)
{
z.checkerboard = x.checkerboard;
conformable(x,y);
conformable(x,z);
GridBase *grid=x._grid;
int Ls = grid->_rdimensions[0];
PARALLEL_FOR_LOOP
for(int ss=0;ss<grid->oSites();ss+=Ls){ // adds Ls
vobj tmp;
multGamma5(tmp(),b*y._odata[ss+sp]());
tmp = tmp + a*x._odata[ss+s];
vstream(z._odata[ss+s],tmp);
}
}
template<class vobj>
void ag5xpbg5y_ssp(Lattice<vobj> &z,RealD a,const Lattice<vobj> &x,RealD b,const Lattice<vobj> &y,int s,int sp)
{
z.checkerboard = x.checkerboard;
conformable(x,y);
conformable(x,z);
GridBase *grid=x._grid;
int Ls = grid->_rdimensions[0];
PARALLEL_FOR_LOOP
for(int ss=0;ss<grid->oSites();ss+=Ls){ // adds Ls
vobj tmp1;
vobj tmp2;
tmp1 = a*x._odata[ss+s]+b*y._odata[ss+sp];
multGamma5(tmp2(),tmp1());
vstream(z._odata[ss+s],tmp2);
}
}
template<class vobj>
void axpby_ssp_pminus(Lattice<vobj> &z,RealD a,const Lattice<vobj> &x,RealD b,const Lattice<vobj> &y,int s,int sp)
{
z.checkerboard = x.checkerboard;
conformable(x,y);
conformable(x,z);
GridBase *grid=x._grid;
int Ls = grid->_rdimensions[0];
PARALLEL_FOR_LOOP
for(int ss=0;ss<grid->oSites();ss+=Ls){ // adds Ls
vobj tmp;
spProj5m(tmp,y._odata[ss+sp]);
tmp = a*x._odata[ss+s]+b*tmp;
vstream(z._odata[ss+s],tmp);
}
}
template<class vobj>
void axpby_ssp_pplus(Lattice<vobj> &z,RealD a,const Lattice<vobj> &x,RealD b,const Lattice<vobj> &y,int s,int sp)
{
z.checkerboard = x.checkerboard;
conformable(x,y);
conformable(x,z);
GridBase *grid=x._grid;
int Ls = grid->_rdimensions[0];
PARALLEL_FOR_LOOP
for(int ss=0;ss<grid->oSites();ss+=Ls){ // adds Ls
vobj tmp;
spProj5p(tmp,y._odata[ss+sp]);
tmp = a*x._odata[ss+s]+b*tmp;
vstream(z._odata[ss+s],tmp);
}
}
}}
#endif