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Hot start should be properly Hot

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This commit is contained in:
Peter Boyle 2023-06-13 11:56:37 -04:00
parent e3e1cc1962
commit c0ef210265
1 changed files with 60 additions and 51 deletions
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111
Grid/qcd/utils/SUn.h
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@ -34,6 +34,59 @@ directory
NAMESPACE_BEGIN(Grid);
template<int N, class Vec>
Lattice<iScalar<iScalar<iScalar<Vec> > > > Determinant(const Lattice<iScalar<iScalar<iMatrix<Vec, N> > > > &Umu)
{
GridBase *grid=Umu.Grid();
auto lvol = grid->lSites();
Lattice<iScalar<iScalar<iScalar<Vec> > > > ret(grid);
autoView(Umu_v,Umu,CpuRead);
autoView(ret_v,ret,CpuWrite);
thread_for(site,lvol,{
Eigen::MatrixXcd EigenU = Eigen::MatrixXcd::Zero(N,N);
Coordinate lcoor;
grid->LocalIndexToLocalCoor(site, lcoor);
iScalar<iScalar<iMatrix<ComplexD, N> > > Us;
peekLocalSite(Us, Umu_v, lcoor);
for(int i=0;i<N;i++){
for(int j=0;j<N;j++){
EigenU(i,j) = Us()()(i,j);
}}
ComplexD detD = EigenU.determinant();
typename Vec::scalar_type det(detD.real(),detD.imag());
pokeLocalSite(det,ret_v,lcoor);
});
return ret;
}
template<int N, class Vec>
static void ProjectSUn(Lattice<iScalar<iScalar<iMatrix<Vec, N> > > > &Umu)
{
Umu = ProjectOnGroup(Umu);
auto det = Determinant(Umu);
det = conjugate(det);
for(int i=0;i<N;i++){
auto element = PeekIndex<ColourIndex>(Umu,N-1,i);
element = element * det;
PokeIndex<ColourIndex>(Umu,element,Nc-1,i);
}
}
template<int N,class Vec>
static void ProjectSUn(Lattice<iVector<iScalar<iMatrix<Vec, N> >,Nd> > &U)
{
GridBase *grid=U.Grid();
// Reunitarise
for(int mu=0;mu<Nd;mu++){
auto Umu = PeekIndex<LorentzIndex>(U,mu);
Umu = ProjectOnGroup(Umu);
ProjectSUn(Umu);
PokeIndex<LorentzIndex>(U,Umu,mu);
}
}
template <int ncolour>
class SU {
public:
@ -741,8 +794,14 @@ public:
typedef Lattice<vMatrixType> LatticeMatrixType;
LatticeMatrixType Umu(out.Grid());
LatticeMatrixType tmp(out.Grid());
for (int mu = 0; mu < Nd; mu++) {
LieRandomize(pRNG, Umu, 1.0);
// LieRandomize(pRNG, Umu, 1.0);
// PokeIndex<LorentzIndex>(out, Umu, mu);
gaussian(pRNG,Umu);
tmp = Ta(Umu);
taExp(tmp,Umu);
ProjectSUn(Umu);
PokeIndex<LorentzIndex>(out, Umu, mu);
}
}
@ -798,30 +857,6 @@ public:
}
};
template<int N>
LatticeComplexD Determinant(const Lattice<iScalar<iScalar<iMatrix<vComplexD, N> > > > &Umu)
{
GridBase *grid=Umu.Grid();
auto lvol = grid->lSites();
LatticeComplexD ret(grid);
autoView(Umu_v,Umu,CpuRead);
autoView(ret_v,ret,CpuWrite);
thread_for(site,lvol,{
Eigen::MatrixXcd EigenU = Eigen::MatrixXcd::Zero(N,N);
Coordinate lcoor;
grid->LocalIndexToLocalCoor(site, lcoor);
iScalar<iScalar<iMatrix<ComplexD, N> > > Us;
peekLocalSite(Us, Umu_v, lcoor);
for(int i=0;i<N;i++){
for(int j=0;j<N;j++){
EigenU(i,j) = Us()()(i,j);
}}
ComplexD det = EigenU.determinant();
pokeLocalSite(det,ret_v,lcoor);
});
return ret;
}
template<int N>
Lattice<iScalar<iScalar<iMatrix<vComplexD, N> > > > Inverse(const Lattice<iScalar<iScalar<iMatrix<vComplexD, N> > > > &Umu)
{
@ -851,32 +886,6 @@ Lattice<iScalar<iScalar<iMatrix<vComplexD, N> > > > Inverse(const Lattice<iScala
});
return ret;
}
template<int N>
static void ProjectSUn(Lattice<iScalar<iScalar<iMatrix<vComplexD, N> > > > &Umu)
{
Umu = ProjectOnGroup(Umu);
auto det = Determinant(Umu);
det = conjugate(det);
for(int i=0;i<N;i++){
auto element = PeekIndex<ColourIndex>(Umu,N-1,i);
element = element * det;
PokeIndex<ColourIndex>(Umu,element,Nc-1,i);
}
}
template<int N>
static void ProjectSUn(Lattice<iVector<iScalar<iMatrix<vComplexD, N> >,Nd> > &U)
{
GridBase *grid=U.Grid();
// Reunitarise
for(int mu=0;mu<Nd;mu++){
auto Umu = PeekIndex<LorentzIndex>(U,mu);
Umu = ProjectOnGroup(Umu);
ProjectSUn(Umu);
PokeIndex<LorentzIndex>(U,Umu,mu);
}
}
// Explicit specialisation for SU(3).
// Explicit specialisation for SU(3).
static void