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fast MooeeInv for EOFA

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This commit is contained in:
gfilaci 2019-09-02 14:26:13 +01:00
parent 0efaf3c4fa
commit e66669d300
2 changed files with 126 additions and 122 deletions
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2
Grid/qcd/action/fermion/implementation/CayleyFermion5Dcache.h
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@ -148,7 +148,7 @@ CayleyFermion5D<Impl>::MooeeInv (const FermionField &psi_i, FermionField &chi
accelerator_for(sss,nloop,Simd::Nsimd(),{
uint64_t ss=sss*Ls;
typedef decltype(coalescedRead(psi[0])) spinor;
spinor tmp, acc, res;;
spinor tmp, acc, res;
// X = Nc*Ns
// flops = 2X + (Ls-2)(4X + 4X) + 6X + 1 + 2X + (Ls-1)(10X + 1) = -16X + Ls(1+18X) = -192 + 217*Ls flops

246
Grid/qcd/action/fermion/implementation/MobiusEOFAFermionCache.h
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@ -242,36 +242,38 @@ void MobiusEOFAFermion<Impl>::MooeeInv(const FermionField &psi_i, FermionField &
int nloop = grid->oSites()/Ls;
accelerator_for(sss,nloop,Simd::Nsimd(),{
uint64_t ss = sss*Ls;
uint64_t ss=sss*Ls;
typedef decltype(coalescedRead(psi[0])) spinor;
spinor tmp;
spinor tmp, acc, res, tmp2_spProj;
// Apply (L^{\prime})^{-1}
coalescedWrite(chi[ss], psi(ss)); // chi[0]=psi[0]
for(int s=1; s<Ls; s++){
spProj5p(tmp, chi(ss+s-1));
coalescedWrite(chi[ss+s], psi(ss+s) - plee[s-1]*tmp);
// X = Nc*Ns
// flops = 2X + (Ls-2)(4X + 4X) + 6X + 1 + 2X + (Ls-1)(10X + 1) = -16X + Ls(1+18X) = -192 + 217*Ls flops
// Apply (L^{\prime})^{-1} L_m^{-1}
res = psi(ss);
spProj5m(tmp,res);
acc = pleem[0]*tmp;
spProj5p(tmp,res);
coalescedWrite(chi[ss],res);
for(int s=1;s<Ls-1;s++){
res = psi(ss+s);
res -= plee[s-1]*tmp;
spProj5m(tmp,res);
acc += pleem[s]*tmp;
spProj5p(tmp,res);
coalescedWrite(chi[ss+s],res);
}
// L_m^{-1}
for(int s=0; s<Ls-1; s++){ // Chi[ee] = 1 - sum[s<Ls-1] -leem[s]P_- chi
spProj5m(tmp, chi(ss+s));
coalescedWrite(chi[ss+Ls-1], chi(ss+Ls-1) - pleem[s]*tmp);
}
// U_m^{-1} D^{-1}
for(int s=0; s<Ls-1; s++){ // Chi[s] + 1/d chi[s]
spProj5p(tmp, chi(ss+Ls-1));
coalescedWrite(chi[ss+s], (1.0/pdee[s])*chi(ss+s) - (pueem[s]/pdee[Ls-1])*tmp);
}
coalescedWrite(chi[ss+Ls-1], (1.0/pdee[Ls-1])*chi(ss+Ls-1));
// Apply U^{-1}
for(int s=Ls-2; s>=0; s--){
spProj5m(tmp, chi(ss+s+1));
coalescedWrite(chi[ss+s], chi(ss+s) - puee[s]*tmp);
res = psi(ss+Ls-1) - plee[Ls-2]*tmp - acc;
// Apply U_m^{-1} D^{-1} U^{-1}
res = (1.0/pdee[Ls-1])*res;
coalescedWrite(chi[ss+Ls-1],res);
spProj5p(acc,res);
spProj5m(tmp,res);
for (int s=Ls-2;s>=0;s--){
res = (1.0/pdee[s])*chi(ss+s) - puee[s]*tmp - pueem[s]*acc;
spProj5m(tmp,res);
coalescedWrite(chi[ss+s],res);
}
});
@ -300,45 +302,45 @@ void MobiusEOFAFermion<Impl>::MooeeInv_shift(const FermionField &psi_i, FermionF
int nloop = grid->oSites()/Ls;
accelerator_for(sss,nloop,Simd::Nsimd(),{
uint64_t ss=sss*Ls;
typedef decltype(coalescedRead(psi[0])) spinor;
spinor tmp, acc, res, tmp_spProj;
uint64_t ss = sss*Ls;
// Apply (L^{\prime})^{-1} L_m^{-1}
res = psi(ss);
spProj5m(tmp,res);
acc = pleem[0]*tmp;
spProj5p(tmp,res);
coalescedWrite(chi[ss],res);
tmp_spProj = pMooeeInv_shift_lc[0]*res;
typedef decltype(coalescedRead(psi[0])) spinor;
spinor tmp1,tmp2,tmp2_spProj;
for(int s=1;s<Ls-1;s++){
res = psi(ss+s);
tmp_spProj += pMooeeInv_shift_lc[s]*res;
res -= plee[s-1]*tmp;
spProj5m(tmp,res);
acc += pleem[s]*tmp;
spProj5p(tmp,res);
coalescedWrite(chi[ss+s],res);
}
res = psi(ss+Ls-1);
// Apply (L^{\prime})^{-1} and accumulate MooeeInv_shift_lc[j]*psi[j] in tmp2
coalescedWrite(chi[ss], psi(ss)); // chi[0]=psi[0]
tmp2 = pMooeeInv_shift_lc[0]*psi(ss);
for(int s=1; s<Ls; s++){
spProj5p(tmp1, chi(ss+s-1));
coalescedWrite(chi[ss+s], psi(ss+s) - plee[s-1]*tmp1);
tmp2 = tmp2 + pMooeeInv_shift_lc[s]*psi(ss+s);
}
if(pm == 1){ spProj5p(tmp2_spProj, tmp2);}
else { spProj5m(tmp2_spProj, tmp2); }
tmp_spProj += pMooeeInv_shift_lc[Ls-1]*res;
if(pm == 1){ spProj5p(tmp_spProj, tmp_spProj);}
else { spProj5m(tmp_spProj, tmp_spProj); }
// L_m^{-1}
for(int s=0; s<Ls-1; s++){ // Chi[ee] = 1 - sum[s<Ls-1] -leem[s]P_- chi
spProj5m(tmp1, chi(ss+s));
coalescedWrite(chi[ss+Ls-1], chi(ss+Ls-1) - pleem[s]*tmp1);
}
res = res - plee[Ls-2]*tmp - acc;
// U_m^{-1} D^{-1}
for(int s=0; s<Ls-1; s++){ // Chi[s] + 1/d chi[s]
spProj5p(tmp1, chi(ss+Ls-1));
coalescedWrite(chi[ss+s], (1.0/pdee[s])*chi(ss+s) - (pueem[s]/pdee[Ls-1])*tmp1);
}
// chi[ss+Ls-1] = (1.0/pdee[Ls-1])*chi[ss+Ls-1] + MooeeInv_shift_norm[Ls-1]*tmp2_spProj;
coalescedWrite(chi[ss+Ls-1], (1.0/pdee[Ls-1])*chi(ss+Ls-1));
spProj5m(tmp1, chi(ss+Ls-1));
coalescedWrite(chi[ss+Ls-1], chi(ss+Ls-1) + pMooeeInv_shift_norm[Ls-1]*tmp2_spProj);
// Apply U^{-1} and add shift term
for(int s=Ls-2; s>=0; s--){
coalescedWrite(chi[ss+s] , chi(ss+s) - puee[s]*tmp1);
spProj5m(tmp1, chi(ss+s));
coalescedWrite(chi[ss+s], chi(ss+s) + pMooeeInv_shift_norm[s]*tmp2_spProj);
}
// Apply U_m^{-1} D^{-1} U^{-1}
res = (1.0/pdee[Ls-1])*res;
spProj5p(acc,res);
spProj5m(tmp,res);
coalescedWrite(chi[ss+Ls-1], res + pMooeeInv_shift_norm[Ls-1]*tmp_spProj);
for (int s=Ls-2;s>=0;s--){
res = (1.0/pdee[s])*chi(ss+s) - puee[s]*tmp - pueem[s]*acc;
spProj5m(tmp,res);
coalescedWrite(chi[ss+s], res + pMooeeInv_shift_norm[s]*tmp_spProj);
}
});
this->MooeeInvTime += usecond();
@ -366,36 +368,38 @@ void MobiusEOFAFermion<Impl>::MooeeInvDag(const FermionField &psi_i, FermionFiel
int nloop = grid->oSites()/Ls;
accelerator_for(sss,nloop,Simd::Nsimd(),{
uint64_t ss = sss*Ls;
uint64_t ss=sss*Ls;
typedef decltype(coalescedRead(psi[0])) spinor;
spinor tmp;
spinor tmp, acc, res;
// Apply (U^{\prime})^{-dag}
coalescedWrite(chi[ss], psi(ss));
for(int s=1; s<Ls; s++){
spProj5m(tmp, chi(ss+s-1));
coalescedWrite(chi[ss+s], psi(ss+s) - puee[s-1]*tmp);
}
// X = Nc*Ns
// flops = 2X + (Ls-2)(4X + 4X) + 6X + 1 + 2X + (Ls-1)(10X + 1) = -16X + Ls(1+18X) = -192 + 217*Ls flops
// Apply (L^{\prime})^{-1} L_m^{-1}
res = psi(ss);
spProj5p(tmp,res);
acc = pueem[0]*tmp;
spProj5m(tmp,res);
coalescedWrite(chi[ss],res);
// U_m^{-\dag}
for(int s=0; s<Ls-1; s++){
spProj5p(tmp, chi(ss+s));
coalescedWrite(chi[ss+Ls-1], chi(ss+Ls-1) - pueem[s]*tmp);
for(int s=1;s<Ls-1;s++){
res = psi(ss+s);
res -= puee[s-1]*tmp;
spProj5p(tmp,res);
acc += pueem[s]*tmp;
spProj5m(tmp,res);
coalescedWrite(chi[ss+s],res);
}
// L_m^{-\dag} D^{-dag}
for(int s=0; s<Ls-1; s++){
spProj5m(tmp, chi(ss+Ls-1));
coalescedWrite(chi[ss+s], (1.0/pdee[s])*chi(ss+s) - (pleem[s]/pdee[Ls-1])*tmp);
}
coalescedWrite(chi[ss+Ls-1], (1.0/pdee[Ls-1])*chi(ss+Ls-1));
// Apply L^{-dag}
for(int s=Ls-2; s>=0; s--){
spProj5p(tmp, chi(ss+s+1));
coalescedWrite(chi[ss+s], chi(ss+s) - plee[s]*tmp);
res = psi(ss+Ls-1) - puee[Ls-2]*tmp - acc;
// Apply U_m^{-1} D^{-1} U^{-1}
res = (1.0/pdee[Ls-1])*res;
coalescedWrite(chi[ss+Ls-1],res);
spProj5m(acc,res);
spProj5p(tmp,res);
for (int s=Ls-2;s>=0;s--){
res = (1.0/pdee[s])*chi(ss+s) - plee[s]*tmp - pleem[s]*acc;
spProj5p(tmp,res);
coalescedWrite(chi[ss+s],res);
}
});
@ -425,45 +429,45 @@ void MobiusEOFAFermion<Impl>::MooeeInvDag_shift(const FermionField &psi_i, Fermi
int nloop = grid->oSites()/Ls;
accelerator_for(sss,nloop,Simd::Nsimd(),{
uint64_t ss=sss*Ls;
typedef decltype(coalescedRead(psi[0])) spinor;
spinor tmp, acc, res, tmp_spProj;
uint64_t ss = sss*Ls;
// Apply (L^{\prime})^{-1} L_m^{-1}
res = psi(ss);
spProj5p(tmp,res);
acc = pueem[0]*tmp;
spProj5m(tmp,res);
coalescedWrite(chi[ss],res);
tmp_spProj = pMooeeInvDag_shift_lc[0]*res;
typedef decltype(coalescedRead(psi[0])) spinor;
spinor tmp1,tmp2,tmp2_spProj;
for(int s=1;s<Ls-1;s++){
res = psi(ss+s);
tmp_spProj += pMooeeInvDag_shift_lc[s]*res;
res -= puee[s-1]*tmp;
spProj5p(tmp,res);
acc += pueem[s]*tmp;
spProj5m(tmp,res);
coalescedWrite(chi[ss+s],res);
}
res = psi(ss+Ls-1);
// Apply (U^{\prime})^{-dag} and accumulate MooeeInvDag_shift_lc[j]*psi[j] in tmp2
coalescedWrite(chi[ss], psi(ss));
tmp2 = pMooeeInvDag_shift_lc[0]*psi(ss);
for(int s=1; s<Ls; s++){
spProj5m(tmp1, chi(ss+s-1));
coalescedWrite(chi[ss+s],psi(ss+s) - puee[s-1]*tmp1);
tmp2 = tmp2 + pMooeeInvDag_shift_lc[s]*psi(ss+s);
}
tmp_spProj += pMooeeInvDag_shift_lc[Ls-1]*res;
if(pm == 1){ spProj5p(tmp_spProj, tmp_spProj); }
else { spProj5m(tmp_spProj, tmp_spProj); }
if(pm == 1){ spProj5p(tmp2_spProj, tmp2);}
else { spProj5m(tmp2_spProj, tmp2);}
res = res - puee[Ls-2]*tmp - acc;
// U_m^{-\dag}
for(int s=0; s<Ls-1; s++){
spProj5p(tmp1, chi(ss+s));
coalescedWrite(chi[ss+Ls-1], chi(ss+Ls-1) - pueem[s]*tmp1);
}
// L_m^{-\dag} D^{-dag}
for(int s=0; s<Ls-1; s++){
spProj5m(tmp1, chi(ss+Ls-1));
coalescedWrite(chi[ss+s], (1.0/pdee[s])*chi(ss+s) - (pleem[s]/pdee[Ls-1])*tmp1);
}
coalescedWrite(chi[ss+Ls-1], (1.0/pdee[Ls-1])*chi(ss+Ls-1));
spProj5p(tmp1, chi(ss+Ls-1));
coalescedWrite(chi[ss+Ls-1], chi(ss+Ls-1) + pMooeeInvDag_shift_norm[Ls-1]*tmp2_spProj);
// Apply L^{-dag}
for(int s=Ls-2; s>=0; s--){
coalescedWrite(chi[ss+s], chi(ss+s) - plee[s]*tmp1);
spProj5p(tmp1, chi(ss+s));
coalescedWrite(chi[ss+s], chi(ss+s) + pMooeeInvDag_shift_norm[s]*tmp2_spProj);
}
// Apply U_m^{-1} D^{-1} U^{-1}
res = (1.0/pdee[Ls-1])*res;
spProj5m(acc,res);
spProj5p(tmp,res);
coalescedWrite(chi[ss+Ls-1], res + pMooeeInvDag_shift_norm[Ls-1]*tmp_spProj);
for (int s=Ls-2;s>=0;s--){
res = (1.0/pdee[s])*chi(ss+s) - plee[s]*tmp - pleem[s]*acc;
spProj5p(tmp,res);
coalescedWrite(chi[ss+s], res + pMooeeInvDag_shift_norm[s]*tmp_spProj);
}
});
this->MooeeInvTime += usecond();