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mirror of https://github.com/paboyle/Grid.git synced 2025-06-19 16:27:05 +01:00

Merge pull request #440 from giltirn/feature/paddedcellgauge

Feature/paddedcellgauge
This commit is contained in:
Peter Boyle
2023-10-02 10:00:42 -04:00
committed by GitHub
13 changed files with 1612 additions and 111 deletions

View File

@ -176,7 +176,7 @@ public:
return PeriodicBC::CshiftLink(Link,mu,shift);
}
static inline void setDirections(std::vector<int> &conjDirs) { _conjDirs=conjDirs; }
static inline void setDirections(const std::vector<int> &conjDirs) { _conjDirs=conjDirs; }
static inline std::vector<int> getDirections(void) { return _conjDirs; }
static inline bool isPeriodicGaugeField(void) { return false; }
};

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@ -43,7 +43,7 @@ public:
private:
RealD c_plaq;
RealD c_rect;
typename WilsonLoops<Gimpl>::StapleAndRectStapleAllWorkspace workspace;
public:
PlaqPlusRectangleAction(RealD b,RealD c): c_plaq(b),c_rect(c){};
@ -79,27 +79,18 @@ public:
GridBase *grid = Umu.Grid();
std::vector<GaugeLinkField> U (Nd,grid);
std::vector<GaugeLinkField> U2(Nd,grid);
for(int mu=0;mu<Nd;mu++){
U[mu] = PeekIndex<LorentzIndex>(Umu,mu);
WilsonLoops<Gimpl>::RectStapleDouble(U2[mu],U[mu],mu);
}
std::vector<GaugeLinkField> RectStaple(Nd,grid), Staple(Nd,grid);
WilsonLoops<Gimpl>::StapleAndRectStapleAll(Staple, RectStaple, U, workspace);
GaugeLinkField dSdU_mu(grid);
GaugeLinkField staple(grid);
for (int mu=0; mu < Nd; mu++){
// Staple in direction mu
WilsonLoops<Gimpl>::Staple(staple,Umu,mu);
dSdU_mu = Ta(U[mu]*staple)*factor_p;
WilsonLoops<Gimpl>::RectStaple(Umu,staple,U2,U,mu);
dSdU_mu = dSdU_mu + Ta(U[mu]*staple)*factor_r;
dSdU_mu = Ta(U[mu]*Staple[mu])*factor_p;
dSdU_mu = dSdU_mu + Ta(U[mu]*RectStaple[mu])*factor_r;
PokeIndex<LorentzIndex>(dSdU, dSdU_mu, mu);
}

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@ -37,13 +37,14 @@ NAMESPACE_BEGIN(Grid);
// Make these members of an Impl class for BC's.
namespace PeriodicBC {
//Out(x) = Link(x)*field(x+mu)
template<class covariant,class gauge> Lattice<covariant> CovShiftForward(const Lattice<gauge> &Link,
int mu,
const Lattice<covariant> &field)
{
return Link*Cshift(field,mu,1);// moves towards negative mu
}
//Out(x) = Link^dag(x-mu)*field(x-mu)
template<class covariant,class gauge> Lattice<covariant> CovShiftBackward(const Lattice<gauge> &Link,
int mu,
const Lattice<covariant> &field)
@ -52,19 +53,19 @@ namespace PeriodicBC {
tmp = adj(Link)*field;
return Cshift(tmp,mu,-1);// moves towards positive mu
}
//Out(x) = Link^dag(x-mu)
template<class gauge> Lattice<gauge>
CovShiftIdentityBackward(const Lattice<gauge> &Link, int mu)
{
return Cshift(adj(Link), mu, -1);
}
//Out(x) = Link(x)
template<class gauge> Lattice<gauge>
CovShiftIdentityForward(const Lattice<gauge> &Link, int mu)
{
return Link;
}
//Link(x) = Link(x+mu)
template<class gauge> Lattice<gauge>
ShiftStaple(const Lattice<gauge> &Link, int mu)
{

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@ -290,7 +290,7 @@ public:
}
*/
//////////////////////////////////////////////////
// the sum over all staples on each site
// the sum over all nu-oriented staples for nu != mu on each site
//////////////////////////////////////////////////
static void Staple(GaugeMat &staple, const GaugeLorentz &Umu, int mu) {
@ -300,6 +300,10 @@ public:
for (int d = 0; d < Nd; d++) {
U[d] = PeekIndex<LorentzIndex>(Umu, d);
}
Staple(staple, U, mu);
}
static void Staple(GaugeMat &staple, const std::vector<GaugeMat> &U, int mu) {
staple = Zero();
for (int nu = 0; nu < Nd; nu++) {
@ -335,6 +339,202 @@ public:
}
}
/////////////
//Staples for each direction mu, summed over nu != mu
//staple: output staples for each mu (Nd)
//U: link array (Nd)
/////////////
static void StapleAll(std::vector<GaugeMat> &staple, const std::vector<GaugeMat> &U) {
assert(staple.size() == Nd); assert(U.size() == Nd);
for(int mu=0;mu<Nd;mu++) Staple(staple[mu], U, mu);
}
//A workspace class allowing reuse of the stencil
class WilsonLoopPaddedStencilWorkspace{
std::unique_ptr<GeneralLocalStencil> stencil;
size_t nshift;
void generateStencil(GridBase* padded_grid){
double t0 = usecond();
//Generate shift arrays
std::vector<Coordinate> shifts = this->getShifts();
nshift = shifts.size();
double t1 = usecond();
//Generate local stencil
stencil.reset(new GeneralLocalStencil(padded_grid,shifts));
double t2 = usecond();
std::cout << GridLogPerformance << " WilsonLoopPaddedWorkspace timings: coord:" << (t1-t0)/1000 << "ms, stencil:" << (t2-t1)/1000 << "ms" << std::endl;
}
public:
//Get the stencil. If not already generated, or if generated using a different Grid than in PaddedCell, it will be created on-the-fly
const GeneralLocalStencil & getStencil(const PaddedCell &pcell){
assert(pcell.depth >= this->paddingDepth());
if(!stencil || stencil->Grid() != (GridBase*)pcell.grids.back() ) generateStencil((GridBase*)pcell.grids.back());
return *stencil;
}
size_t Nshift() const{ return nshift; }
virtual std::vector<Coordinate> getShifts() const = 0;
virtual int paddingDepth() const = 0; //padding depth required
virtual ~WilsonLoopPaddedStencilWorkspace(){}
};
//This workspace allows the sharing of a common PaddedCell object between multiple stencil workspaces
class WilsonLoopPaddedWorkspace{
std::vector<WilsonLoopPaddedStencilWorkspace*> stencil_wk;
std::unique_ptr<PaddedCell> pcell;
void generatePcell(GridBase* unpadded_grid){
assert(stencil_wk.size());
int max_depth = 0;
for(auto const &s : stencil_wk) max_depth=std::max(max_depth, s->paddingDepth());
pcell.reset(new PaddedCell(max_depth, dynamic_cast<GridCartesian*>(unpadded_grid)));
}
public:
//Add a stencil definition. This should be done before the first call to retrieve a stencil object.
//Takes ownership of the pointer
void addStencil(WilsonLoopPaddedStencilWorkspace *stencil){
assert(!pcell);
stencil_wk.push_back(stencil);
}
const GeneralLocalStencil & getStencil(const size_t stencil_idx, GridBase* unpadded_grid){
if(!pcell || pcell->unpadded_grid != unpadded_grid) generatePcell(unpadded_grid);
return stencil_wk[stencil_idx]->getStencil(*pcell);
}
const PaddedCell & getPaddedCell(GridBase* unpadded_grid){
if(!pcell || pcell->unpadded_grid != unpadded_grid) generatePcell(unpadded_grid);
return *pcell;
}
~WilsonLoopPaddedWorkspace(){
for(auto &s : stencil_wk) delete s;
}
};
//A workspace class allowing reuse of the stencil
class StaplePaddedAllWorkspace: public WilsonLoopPaddedStencilWorkspace{
public:
std::vector<Coordinate> getShifts() const override{
std::vector<Coordinate> shifts;
for(int mu=0;mu<Nd;mu++){
for(int nu=0;nu<Nd;nu++){
if(nu != mu){
Coordinate shift_0(Nd,0);
Coordinate shift_mu(Nd,0); shift_mu[mu]=1;
Coordinate shift_nu(Nd,0); shift_nu[nu]=1;
Coordinate shift_mnu(Nd,0); shift_mnu[nu]=-1;
Coordinate shift_mnu_pmu(Nd,0); shift_mnu_pmu[nu]=-1; shift_mnu_pmu[mu]=1;
//U_nu(x+mu)U^dag_mu(x+nu) U^dag_nu(x)
shifts.push_back(shift_0);
shifts.push_back(shift_nu);
shifts.push_back(shift_mu);
//U_nu^dag(x-nu+mu) U_mu^dag(x-nu) U_nu(x-nu)
shifts.push_back(shift_mnu);
shifts.push_back(shift_mnu);
shifts.push_back(shift_mnu_pmu);
}
}
}
return shifts;
}
int paddingDepth() const override{ return 1; }
};
//Padded cell implementation of the staple method for all mu, summed over nu != mu
//staple: output staple for each mu, summed over nu != mu (Nd)
//U_padded: the gauge link fields padded out using the PaddedCell class
//Cell: the padded cell class
static void StaplePaddedAll(std::vector<GaugeMat> &staple, const std::vector<GaugeMat> &U_padded, const PaddedCell &Cell) {
StaplePaddedAllWorkspace wk;
StaplePaddedAll(staple,U_padded,Cell,wk.getStencil(Cell));
}
//Padded cell implementation of the staple method for all mu, summed over nu != mu
//staple: output staple for each mu, summed over nu != mu (Nd)
//U_padded: the gauge link fields padded out using the PaddedCell class
//Cell: the padded cell class
//gStencil: the precomputed generalized local stencil for the staple
static void StaplePaddedAll(std::vector<GaugeMat> &staple, const std::vector<GaugeMat> &U_padded, const PaddedCell &Cell, const GeneralLocalStencil &gStencil) {
double t0 = usecond();
assert(U_padded.size() == Nd); assert(staple.size() == Nd);
assert(U_padded[0].Grid() == (GridBase*)Cell.grids.back());
assert(Cell.depth >= 1);
GridBase *ggrid = U_padded[0].Grid(); //padded cell grid
int shift_mu_off = gStencil._npoints/Nd;
//Open views to padded gauge links and keep open over mu loop
typedef LatticeView<typename GaugeMat::vector_object> GaugeViewType;
size_t vsize = Nd*sizeof(GaugeViewType);
GaugeViewType* Ug_dirs_v_host = (GaugeViewType*)malloc(vsize);
for(int i=0;i<Nd;i++) Ug_dirs_v_host[i] = U_padded[i].View(AcceleratorRead);
GaugeViewType* Ug_dirs_v = (GaugeViewType*)acceleratorAllocDevice(vsize);
acceleratorCopyToDevice(Ug_dirs_v_host,Ug_dirs_v,vsize);
GaugeMat gStaple(ggrid);
int outer_off = 0;
for(int mu=0;mu<Nd;mu++){
{ //view scope
autoView( gStaple_v , gStaple, AcceleratorWrite);
auto gStencil_v = gStencil.View();
accelerator_for(ss, ggrid->oSites(), ggrid->Nsimd(), {
decltype(coalescedRead(Ug_dirs_v[0][0])) stencil_ss;
stencil_ss = Zero();
int off = outer_off;
for(int nu=0;nu<Nd;nu++){
if(nu != mu){
GeneralStencilEntry const* e = gStencil_v.GetEntry(off++,ss);
auto U0 = adj(coalescedReadGeneralPermute(Ug_dirs_v[nu][e->_offset], e->_permute, Nd));
e = gStencil_v.GetEntry(off++,ss);
auto U1 = adj(coalescedReadGeneralPermute(Ug_dirs_v[mu][e->_offset], e->_permute, Nd));
e = gStencil_v.GetEntry(off++,ss);
auto U2 = coalescedReadGeneralPermute(Ug_dirs_v[nu][e->_offset], e->_permute, Nd);
stencil_ss = stencil_ss + U2 * U1 * U0;
e = gStencil_v.GetEntry(off++,ss);
U0 = coalescedReadGeneralPermute(Ug_dirs_v[nu][e->_offset], e->_permute, Nd);
e = gStencil_v.GetEntry(off++,ss);
U1 = adj(coalescedReadGeneralPermute(Ug_dirs_v[mu][e->_offset], e->_permute, Nd));
e = gStencil_v.GetEntry(off++,ss);
U2 = adj(coalescedReadGeneralPermute(Ug_dirs_v[nu][e->_offset], e->_permute, Nd));
stencil_ss = stencil_ss + U2 * U1 * U0;
}
}
coalescedWrite(gStaple_v[ss],stencil_ss);
}
);
} //ensure views are all closed!
staple[mu] = Cell.Extract(gStaple);
outer_off += shift_mu_off;
}//mu loop
for(int i=0;i<Nd;i++) Ug_dirs_v_host[i].ViewClose();
free(Ug_dirs_v_host);
acceleratorFreeDevice(Ug_dirs_v);
double t1=usecond();
std::cout << GridLogPerformance << "StaplePaddedAll timing:" << (t1-t0)/1000 << "ms" << std::endl;
}
//////////////////////////////////////////////////
// the sum over all staples on each site in direction mu,nu, upper part
//////////////////////////////////////////////////
@ -707,18 +907,14 @@ public:
// the sum over all staples on each site
//////////////////////////////////////////////////
static void RectStapleDouble(GaugeMat &U2, const GaugeMat &U, int mu) {
U2 = U * Cshift(U, mu, 1);
U2 = U * Gimpl::CshiftLink(U, mu, 1);
}
////////////////////////////////////////////////////////////////////////////
// Hop by two optimisation strategy does not work nicely with Gparity. (could
// do,
// but need to track two deep where cross boundary and apply a conjugation).
// Must differentiate this in Gimpl, and use Gimpl::isPeriodicGaugeField to do
// so .
// Hop by two optimisation strategy. Use RectStapleDouble to obtain 'U2'
////////////////////////////////////////////////////////////////////////////
static void RectStapleOptimised(GaugeMat &Stap, std::vector<GaugeMat> &U2,
std::vector<GaugeMat> &U, int mu) {
static void RectStapleOptimised(GaugeMat &Stap, const std::vector<GaugeMat> &U2,
const std::vector<GaugeMat> &U, int mu) {
Stap = Zero();
@ -732,9 +928,9 @@ public:
// Up staple ___ ___
// | |
tmp = Cshift(adj(U[nu]), nu, -1);
tmp = Gimpl::CshiftLink(adj(U[nu]), nu, -1);
tmp = adj(U2[mu]) * tmp;
tmp = Cshift(tmp, mu, -2);
tmp = Gimpl::CshiftLink(tmp, mu, -2);
Staple2x1 = Gimpl::CovShiftForward(U[nu], nu, tmp);
@ -742,14 +938,14 @@ public:
// |___ ___|
//
tmp = adj(U2[mu]) * U[nu];
Staple2x1 += Gimpl::CovShiftBackward(U[nu], nu, Cshift(tmp, mu, -2));
Staple2x1 += Gimpl::CovShiftBackward(U[nu], nu, Gimpl::CshiftLink(tmp, mu, -2));
// ___ ___
// | ___|
// |___ ___|
//
Stap += Cshift(Gimpl::CovShiftForward(U[mu], mu, Staple2x1), mu, 1);
Stap += Gimpl::CshiftLink(Gimpl::CovShiftForward(U[mu], mu, Staple2x1), mu, 1);
// ___ ___
// |___ |
@ -758,7 +954,7 @@ public:
// tmp= Staple2x1* Cshift(U[mu],mu,-2);
// Stap+= Cshift(tmp,mu,1) ;
Stap += Cshift(Staple2x1, mu, 1) * Cshift(U[mu], mu, -1);
Stap += Gimpl::CshiftLink(Staple2x1, mu, 1) * Gimpl::CshiftLink(U[mu], mu, -1);
;
// --
@ -766,10 +962,10 @@ public:
//
// | |
tmp = Cshift(adj(U2[nu]), nu, -2);
tmp = Gimpl::CshiftLink(adj(U2[nu]), nu, -2);
tmp = Gimpl::CovShiftBackward(U[mu], mu, tmp);
tmp = U2[nu] * Cshift(tmp, nu, 2);
Stap += Cshift(tmp, mu, 1);
tmp = U2[nu] * Gimpl::CshiftLink(tmp, nu, 2);
Stap += Gimpl::CshiftLink(tmp, mu, 1);
// | |
//
@ -778,25 +974,12 @@ public:
tmp = Gimpl::CovShiftBackward(U[mu], mu, U2[nu]);
tmp = adj(U2[nu]) * tmp;
tmp = Cshift(tmp, nu, -2);
Stap += Cshift(tmp, mu, 1);
tmp = Gimpl::CshiftLink(tmp, nu, -2);
Stap += Gimpl::CshiftLink(tmp, mu, 1);
}
}
}
static void RectStaple(GaugeMat &Stap, const GaugeLorentz &Umu, int mu) {
RectStapleUnoptimised(Stap, Umu, mu);
}
static void RectStaple(const GaugeLorentz &Umu, GaugeMat &Stap,
std::vector<GaugeMat> &U2, std::vector<GaugeMat> &U,
int mu) {
if (Gimpl::isPeriodicGaugeField()) {
RectStapleOptimised(Stap, U2, U, mu);
} else {
RectStapleUnoptimised(Stap, Umu, mu);
}
}
static void RectStapleUnoptimised(GaugeMat &Stap, const GaugeLorentz &Umu,
int mu) {
GridBase *grid = Umu.Grid();
@ -895,6 +1078,288 @@ public:
}
}
static void RectStaple(GaugeMat &Stap, const GaugeLorentz &Umu, int mu) {
RectStapleUnoptimised(Stap, Umu, mu);
}
static void RectStaple(const GaugeLorentz &Umu, GaugeMat &Stap,
std::vector<GaugeMat> &U2, std::vector<GaugeMat> &U,
int mu) {
RectStapleOptimised(Stap, U2, U, mu);
}
//////////////////////////////////////////////////////
//Compute the rectangular staples for all orientations
//Stap : Array of staples (Nd)
//U: Gauge links in each direction (Nd)
/////////////////////////////////////////////////////
static void RectStapleAll(std::vector<GaugeMat> &Stap, const std::vector<GaugeMat> &U){
assert(Stap.size() == Nd); assert(U.size() == Nd);
std::vector<GaugeMat> U2(Nd,U[0].Grid());
for(int mu=0;mu<Nd;mu++) RectStapleDouble(U2[mu], U[mu], mu);
for(int mu=0;mu<Nd;mu++) RectStapleOptimised(Stap[mu], U2, U, mu);
}
//A workspace class allowing reuse of the stencil
class RectStaplePaddedAllWorkspace: public WilsonLoopPaddedStencilWorkspace{
public:
std::vector<Coordinate> getShifts() const override{
std::vector<Coordinate> shifts;
for (int mu = 0; mu < Nd; mu++){
for (int nu = 0; nu < Nd; nu++) {
if (nu != mu) {
auto genShift = [&](int mushift,int nushift){
Coordinate out(Nd,0); out[mu]=mushift; out[nu]=nushift; return out;
};
//tmp6 = tmp5(x+mu) = U_mu(x+mu)U_nu(x+2mu)U_mu^dag(x+nu+mu) U_mu^dag(x+nu) U_nu^dag(x)
shifts.push_back(genShift(0,0));
shifts.push_back(genShift(0,+1));
shifts.push_back(genShift(+1,+1));
shifts.push_back(genShift(+2,0));
shifts.push_back(genShift(+1,0));
//tmp5 = tmp4(x+mu) = U_mu(x+mu)U^dag_nu(x-nu+2mu)U^dag_mu(x-nu+mu)U^dag_mu(x-nu)U_nu(x-nu)
shifts.push_back(genShift(0,-1));
shifts.push_back(genShift(0,-1));
shifts.push_back(genShift(+1,-1));
shifts.push_back(genShift(+2,-1));
shifts.push_back(genShift(+1,0));
//tmp5 = tmp4(x+mu) = U^dag_nu(x-nu+mu)U^dag_mu(x-nu)U^dag_mu(x-mu-nu)U_nu(x-mu-nu)U_mu(x-mu)
shifts.push_back(genShift(-1,0));
shifts.push_back(genShift(-1,-1));
shifts.push_back(genShift(-1,-1));
shifts.push_back(genShift(0,-1));
shifts.push_back(genShift(+1,-1));
//tmp5 = tmp4(x+mu) = U_nu(x+mu)U_mu^dag(x+nu)U_mu^dag(x-mu+nu)U_nu^dag(x-mu)U_mu(x-mu)
shifts.push_back(genShift(-1,0));
shifts.push_back(genShift(-1,0));
shifts.push_back(genShift(-1,+1));
shifts.push_back(genShift(0,+1));
shifts.push_back(genShift(+1,0));
//tmp6 = tmp5(x+mu) = U_nu(x+mu)U_nu(x+mu+nu)U_mu^dag(x+2nu)U_nu^dag(x+nu)U_nu^dag(x)
shifts.push_back(genShift(0,0));
shifts.push_back(genShift(0,+1));
shifts.push_back(genShift(0,+2));
shifts.push_back(genShift(+1,+1));
shifts.push_back(genShift(+1,0));
//tmp5 = tmp4(x+mu) = U_nu^dag(x+mu-nu)U_nu^dag(x+mu-2nu)U_mu^dag(x-2nu)U_nu(x-2nu)U_nu(x-nu)
shifts.push_back(genShift(0,-1));
shifts.push_back(genShift(0,-2));
shifts.push_back(genShift(0,-2));
shifts.push_back(genShift(+1,-2));
shifts.push_back(genShift(+1,-1));
}
}
}
return shifts;
}
int paddingDepth() const override{ return 2; }
};
//Padded cell implementation of the rectangular staple method for all mu, summed over nu != mu
//staple: output staple for each mu, summed over nu != mu (Nd)
//U_padded: the gauge link fields padded out using the PaddedCell class
//Cell: the padded cell class
static void RectStaplePaddedAll(std::vector<GaugeMat> &staple, const std::vector<GaugeMat> &U_padded, const PaddedCell &Cell) {
RectStaplePaddedAllWorkspace wk;
RectStaplePaddedAll(staple,U_padded,Cell,wk.getStencil(Cell));
}
//Padded cell implementation of the rectangular staple method for all mu, summed over nu != mu
//staple: output staple for each mu, summed over nu != mu (Nd)
//U_padded: the gauge link fields padded out using the PaddedCell class
//Cell: the padded cell class
//gStencil: the stencil
static void RectStaplePaddedAll(std::vector<GaugeMat> &staple, const std::vector<GaugeMat> &U_padded, const PaddedCell &Cell, const GeneralLocalStencil &gStencil) {
double t0 = usecond();
assert(U_padded.size() == Nd); assert(staple.size() == Nd);
assert(U_padded[0].Grid() == (GridBase*)Cell.grids.back());
assert(Cell.depth >= 2);
GridBase *ggrid = U_padded[0].Grid(); //padded cell grid
size_t nshift = gStencil._npoints;
int mu_off_delta = nshift / Nd;
//Open views to padded gauge links and keep open over mu loop
typedef LatticeView<typename GaugeMat::vector_object> GaugeViewType;
size_t vsize = Nd*sizeof(GaugeViewType);
GaugeViewType* Ug_dirs_v_host = (GaugeViewType*)malloc(vsize);
for(int i=0;i<Nd;i++) Ug_dirs_v_host[i] = U_padded[i].View(AcceleratorRead);
GaugeViewType* Ug_dirs_v = (GaugeViewType*)acceleratorAllocDevice(vsize);
acceleratorCopyToDevice(Ug_dirs_v_host,Ug_dirs_v,vsize);
GaugeMat gStaple(ggrid); //temp staple object on padded grid
int offset = 0;
for(int mu=0; mu<Nd; mu++){
{ //view scope
autoView( gStaple_v , gStaple, AcceleratorWrite);
auto gStencil_v = gStencil.View();
accelerator_for(ss, ggrid->oSites(), ggrid->Nsimd(), {
decltype(coalescedRead(Ug_dirs_v[0][0])) stencil_ss;
stencil_ss = Zero();
int s=offset;
for(int nu=0;nu<Nd;nu++){
if(nu != mu){
//tmp6 = tmp5(x+mu) = U_mu(x+mu)U_nu(x+2mu)U_mu^dag(x+nu+mu) U_mu^dag(x+nu) U_nu^dag(x)
GeneralStencilEntry const* e = gStencil_v.GetEntry(s++,ss);
auto U0 = adj(coalescedReadGeneralPermute(Ug_dirs_v[nu][e->_offset], e->_permute, Nd));
e = gStencil_v.GetEntry(s++,ss);
auto U1 = adj(coalescedReadGeneralPermute(Ug_dirs_v[mu][e->_offset], e->_permute, Nd));
e = gStencil_v.GetEntry(s++,ss);
auto U2 = adj(coalescedReadGeneralPermute(Ug_dirs_v[mu][e->_offset], e->_permute, Nd));
e = gStencil_v.GetEntry(s++,ss);
auto U3 = coalescedReadGeneralPermute(Ug_dirs_v[nu][e->_offset], e->_permute, Nd);
e = gStencil_v.GetEntry(s++,ss);
auto U4 = coalescedReadGeneralPermute(Ug_dirs_v[mu][e->_offset], e->_permute, Nd);
stencil_ss = stencil_ss + U4*U3*U2*U1*U0;
//tmp5 = tmp4(x+mu) = U_mu(x+mu)U^dag_nu(x-nu+2mu)U^dag_mu(x-nu+mu)U^dag_mu(x-nu)U_nu(x-nu)
e = gStencil_v.GetEntry(s++,ss);
U0 = coalescedReadGeneralPermute(Ug_dirs_v[nu][e->_offset], e->_permute, Nd);
e = gStencil_v.GetEntry(s++,ss);
U1 = adj(coalescedReadGeneralPermute(Ug_dirs_v[mu][e->_offset], e->_permute, Nd));
e = gStencil_v.GetEntry(s++,ss);
U2 = adj(coalescedReadGeneralPermute(Ug_dirs_v[mu][e->_offset], e->_permute, Nd));
e = gStencil_v.GetEntry(s++,ss);
U3 = adj(coalescedReadGeneralPermute(Ug_dirs_v[nu][e->_offset], e->_permute, Nd));
e = gStencil_v.GetEntry(s++,ss);
U4 = coalescedReadGeneralPermute(Ug_dirs_v[mu][e->_offset], e->_permute, Nd);
stencil_ss = stencil_ss + U4*U3*U2*U1*U0;
//tmp5 = tmp4(x+mu) = U^dag_nu(x-nu+mu)U^dag_mu(x-nu)U^dag_mu(x-mu-nu)U_nu(x-mu-nu)U_mu(x-mu)
e = gStencil_v.GetEntry(s++,ss);
U0 = coalescedReadGeneralPermute(Ug_dirs_v[mu][e->_offset], e->_permute, Nd);
e = gStencil_v.GetEntry(s++,ss);
U1 = coalescedReadGeneralPermute(Ug_dirs_v[nu][e->_offset], e->_permute, Nd);
e = gStencil_v.GetEntry(s++,ss);
U2 = adj(coalescedReadGeneralPermute(Ug_dirs_v[mu][e->_offset], e->_permute, Nd));
e = gStencil_v.GetEntry(s++,ss);
U3 = adj(coalescedReadGeneralPermute(Ug_dirs_v[mu][e->_offset], e->_permute, Nd));
e = gStencil_v.GetEntry(s++,ss);
U4 = adj(coalescedReadGeneralPermute(Ug_dirs_v[nu][e->_offset], e->_permute, Nd));
stencil_ss = stencil_ss + U4*U3*U2*U1*U0;
//tmp5 = tmp4(x+mu) = U_nu(x+mu)U_mu^dag(x+nu)U_mu^dag(x-mu+nu)U_nu^dag(x-mu)U_mu(x-mu)
e = gStencil_v.GetEntry(s++,ss);
U0 = coalescedReadGeneralPermute(Ug_dirs_v[mu][e->_offset], e->_permute, Nd);
e = gStencil_v.GetEntry(s++,ss);
U1 = adj(coalescedReadGeneralPermute(Ug_dirs_v[nu][e->_offset], e->_permute, Nd));
e = gStencil_v.GetEntry(s++,ss);
U2 = adj(coalescedReadGeneralPermute(Ug_dirs_v[mu][e->_offset], e->_permute, Nd));
e = gStencil_v.GetEntry(s++,ss);
U3 = adj(coalescedReadGeneralPermute(Ug_dirs_v[mu][e->_offset], e->_permute, Nd));
e = gStencil_v.GetEntry(s++,ss);
U4 = coalescedReadGeneralPermute(Ug_dirs_v[nu][e->_offset], e->_permute, Nd);
stencil_ss = stencil_ss + U4*U3*U2*U1*U0;
//tmp6 = tmp5(x+mu) = U_nu(x+mu)U_nu(x+mu+nu)U_mu^dag(x+2nu)U_nu^dag(x+nu)U_nu^dag(x)
e = gStencil_v.GetEntry(s++,ss);
U0 = adj(coalescedReadGeneralPermute(Ug_dirs_v[nu][e->_offset], e->_permute, Nd));
e = gStencil_v.GetEntry(s++,ss);
U1 = adj(coalescedReadGeneralPermute(Ug_dirs_v[nu][e->_offset], e->_permute, Nd));
e = gStencil_v.GetEntry(s++,ss);
U2 = adj(coalescedReadGeneralPermute(Ug_dirs_v[mu][e->_offset], e->_permute, Nd));
e = gStencil_v.GetEntry(s++,ss);
U3 = coalescedReadGeneralPermute(Ug_dirs_v[nu][e->_offset], e->_permute, Nd);
e = gStencil_v.GetEntry(s++,ss);
U4 = coalescedReadGeneralPermute(Ug_dirs_v[nu][e->_offset], e->_permute, Nd);
stencil_ss = stencil_ss + U4*U3*U2*U1*U0;
//tmp5 = tmp4(x+mu) = U_nu^dag(x+mu-nu)U_nu^dag(x+mu-2nu)U_mu^dag(x-2nu)U_nu(x-2nu)U_nu(x-nu)
e = gStencil_v.GetEntry(s++,ss);
U0 = coalescedReadGeneralPermute(Ug_dirs_v[nu][e->_offset], e->_permute, Nd);
e = gStencil_v.GetEntry(s++,ss);
U1 = coalescedReadGeneralPermute(Ug_dirs_v[nu][e->_offset], e->_permute, Nd);
e = gStencil_v.GetEntry(s++,ss);
U2 = adj(coalescedReadGeneralPermute(Ug_dirs_v[mu][e->_offset], e->_permute, Nd));
e = gStencil_v.GetEntry(s++,ss);
U3 = adj(coalescedReadGeneralPermute(Ug_dirs_v[nu][e->_offset], e->_permute, Nd));
e = gStencil_v.GetEntry(s++,ss);
U4 = adj(coalescedReadGeneralPermute(Ug_dirs_v[nu][e->_offset], e->_permute, Nd));
stencil_ss = stencil_ss + U4*U3*U2*U1*U0;
}
}
coalescedWrite(gStaple_v[ss],stencil_ss);
}
);
offset += mu_off_delta;
}//kernel/view scope
staple[mu] = Cell.Extract(gStaple);
}//mu loop
for(int i=0;i<Nd;i++) Ug_dirs_v_host[i].ViewClose();
free(Ug_dirs_v_host);
acceleratorFreeDevice(Ug_dirs_v);
double t1 = usecond();
std::cout << GridLogPerformance << "RectStaplePaddedAll timings:" << (t1-t0)/1000 << "ms" << std::endl;
}
//A workspace for reusing the PaddedCell and GeneralLocalStencil objects
class StapleAndRectStapleAllWorkspace: public WilsonLoopPaddedWorkspace{
public:
StapleAndRectStapleAllWorkspace(){
this->addStencil(new StaplePaddedAllWorkspace);
this->addStencil(new RectStaplePaddedAllWorkspace);
}
};
//////////////////////////////////////////////////////
//Compute the 1x1 and 1x2 staples for all orientations
//Stap : Array of staples (Nd)
//RectStap: Array of rectangular staples (Nd)
//U: Gauge links in each direction (Nd)
/////////////////////////////////////////////////////
static void StapleAndRectStapleAll(std::vector<GaugeMat> &Stap, std::vector<GaugeMat> &RectStap, const std::vector<GaugeMat> &U){
StapleAndRectStapleAllWorkspace wk;
StapleAndRectStapleAll(Stap,RectStap,U,wk);
}
//////////////////////////////////////////////////////
//Compute the 1x1 and 1x2 staples for all orientations
//Stap : Array of staples (Nd)
//RectStap: Array of rectangular staples (Nd)
//U: Gauge links in each direction (Nd)
//wk: a workspace containing stored PaddedCell and GeneralLocalStencil objects to maximize reuse
/////////////////////////////////////////////////////
static void StapleAndRectStapleAll(std::vector<GaugeMat> &Stap, std::vector<GaugeMat> &RectStap, const std::vector<GaugeMat> &U, StapleAndRectStapleAllWorkspace &wk){
#if 0
StapleAll(Stap, U);
RectStapleAll(RectStap, U);
#else
double t0 = usecond();
GridCartesian* unpadded_grid = dynamic_cast<GridCartesian*>(U[0].Grid());
const PaddedCell &Ghost = wk.getPaddedCell(unpadded_grid);
CshiftImplGauge<Gimpl> cshift_impl;
std::vector<GaugeMat> U_pad(Nd, Ghost.grids.back());
for(int mu=0;mu<Nd;mu++) U_pad[mu] = Ghost.Exchange(U[mu], cshift_impl);
double t1 = usecond();
StaplePaddedAll(Stap, U_pad, Ghost, wk.getStencil(0,unpadded_grid) );
double t2 = usecond();
RectStaplePaddedAll(RectStap, U_pad, Ghost, wk.getStencil(1,unpadded_grid));
double t3 = usecond();
std::cout << GridLogPerformance << "StapleAndRectStapleAll timings: pad:" << (t1-t0)/1000 << "ms, staple:" << (t2-t1)/1000 << "ms, rect-staple:" << (t3-t2)/1000 << "ms" << std::endl;
#endif
}
//////////////////////////////////////////////////
// Wilson loop of size (R1, R2), oriented in mu,nu plane
//////////////////////////////////////////////////