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First pass at continued fraction; solver and even odd decomposition tests pass.

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Have to make ContFrac class virtual and derive end non-abstract actions for the particular
cases.
This commit is contained in:
Peter Boyle
2015-06-04 00:00:45 +01:00
parent f07a17ba2c
commit 03f4fde468
15 changed files with 490 additions and 48 deletions
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81
lib/qcd/action/fermion/ContinuedFractionFermion5D.cc
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@ -1,9 +1,56 @@
#include <Grid.h>
namespace Grid {
namespace QCD {
void ContinuedFractionFermion5D::SetCoefficientsTanh(Approx::zolotarev_data *zdata,RealD b,RealD c)
{
SetCoefficientsZolotarev(1.0,zdata,b,c);
}
void ContinuedFractionFermion5D::SetCoefficientsZolotarev(RealD zolo_hi,Approx::zolotarev_data *zdata,RealD b,RealD c)
{
R=(1+this->mass)/(1-this->mass);
Beta.resize(Ls);
cc.resize(Ls);
cc_d.resize(Ls);
sqrt_cc.resize(Ls);
for(int i=0; i < Ls ; i++){
Beta[i] = zdata -> beta[i];
cc[i] = 1.0/Beta[i];
cc_d[i]=sqrt(cc[i]);
}
cc_d[Ls-1]=1.0;
for(int i=0; i < Ls-1 ; i++){
sqrt_cc[i]= sqrt(cc[i]*cc[i+1]);
}
sqrt_cc[Ls-2]=sqrt(cc[Ls-2]);
ZoloHiInv =1.0/zolo_hi;
double dw_diag = (4.0-M5)*ZoloHiInv;
See.resize(Ls);
Aee.resize(Ls);
int sign=1;
for(int s=0;s<Ls;s++){
Aee[s] = sign * Beta[s] * dw_diag;
sign = - sign;
}
Aee[Ls-1] += R;
See[0] = Aee[0];
for(int s=1;s<Ls;s++){
See[s] = Aee[s] - 1.0/See[s-1];
}
for(int s=0;s<Ls;s++){
std::cout <<"s = "<<s<<" Beta "<<Beta[s]<<" Aee "<<Aee[s] <<" See "<<See[s] <<std::endl;
}
}
RealD ContinuedFractionFermion5D::M (const LatticeFermion &psi, LatticeFermion &chi)
{
LatticeFermion D(psi._grid);
@ -13,13 +60,13 @@ namespace Grid {
int sign=1;
for(int s=0;s<Ls;s++){
if ( s==0 ) {
ag5xpby_ssp(chi,cc[0]*Beta[0]*sign*scale,D,sqrt_cc[0],psi,s,s+1); // Multiplies Dw by G5 so Hw
ag5xpby_ssp(chi,cc[0]*Beta[0]*sign*ZoloHiInv,D,sqrt_cc[0],psi,s,s+1); // Multiplies Dw by G5 so Hw
} else if ( s==(Ls-1) ){
RealD R=(1.0+mass)/(1.0-mass);
ag5xpby_ssp(chi,Beta[s]*scale,D,sqrt_cc[s-1],psi,s,s-1);
ag5xpby_ssp(chi,Beta[s]*ZoloHiInv,D,sqrt_cc[s-1],psi,s,s-1);
ag5xpby_ssp(chi,R,psi,1.0,chi,s,s);
} else {
ag5xpby_ssp(chi,cc[s]*Beta[s]*sign*scale,D,sqrt_cc[s],psi,s,s+1);
ag5xpby_ssp(chi,cc[s]*Beta[s]*sign*ZoloHiInv,D,sqrt_cc[s],psi,s,s+1);
axpby_ssp(chi,1.0,chi,sqrt_cc[s-1],psi,s,s-1);
}
sign=-sign;
@ -35,18 +82,22 @@ namespace Grid {
}
void ContinuedFractionFermion5D::Meooe (const LatticeFermion &psi, LatticeFermion &chi)
{
Dhop(psi,chi,DaggerNo); // Dslash on diagonal. g5 Dslash is hermitian
// Apply 4d dslash
if ( psi.checkerboard == Odd ) {
DhopEO(psi,chi,DaggerNo); // Dslash on diagonal. g5 Dslash is hermitian
} else {
DhopOE(psi,chi,DaggerNo); // Dslash on diagonal. g5 Dslash is hermitian
}
int sign=1;
for(int s=0;s<Ls;s++){
if ( s==(Ls-1) ){
ag5xpby_ssp(chi,Beta[s]*scale,chi,0.0,chi,s,s);
ag5xpby_ssp(chi,Beta[s]*ZoloHiInv,chi,0.0,chi,s,s);
} else {
ag5xpby_ssp(chi,cc[s]*Beta[s]*sign*scale,chi,0.0,chi,s,s);
ag5xpby_ssp(chi,cc[s]*Beta[s]*sign*ZoloHiInv,chi,0.0,chi,s,s);
}
sign=-sign;
}
}
}
void ContinuedFractionFermion5D::MeooeDag (const LatticeFermion &psi, LatticeFermion &chi)
{
@ -54,7 +105,7 @@ namespace Grid {
}
void ContinuedFractionFermion5D::Mooee (const LatticeFermion &psi, LatticeFermion &chi)
{
double dw_diag = (4.0-this->M5)*scale;
double dw_diag = (4.0-M5)*ZoloHiInv;
int sign=1;
for(int s=0;s<Ls;s++){
@ -62,7 +113,7 @@ namespace Grid {
ag5xpby_ssp(chi,cc[0]*Beta[0]*sign*dw_diag,psi,sqrt_cc[0],psi,s,s+1); // Multiplies Dw by G5 so Hw
} else if ( s==(Ls-1) ){
// Drop the CC here.
double R=(1+this->mass)/(1-this->mass);
double R=(1+mass)/(1-mass);
ag5xpby_ssp(chi,Beta[s]*dw_diag,psi,sqrt_cc[s-1],psi,s,s-1);
ag5xpby_ssp(chi,R,psi,1.0,chi,s,s);
} else {
@ -80,7 +131,7 @@ namespace Grid {
void ContinuedFractionFermion5D::MooeeInv (const LatticeFermion &psi, LatticeFermion &chi)
{
// Apply Linv
axpby_ssp(chi,1.0/cc_d[0],psi,0.0,psi,0,0);
axpby_ssp(chi,1.0/cc_d[0],psi,0.0,psi,0,0);
for(int s=1;s<Ls;s++){
axpbg5y_ssp(chi,1.0/cc_d[s],psi,-1.0/See[s-1],chi,s,s-1);
}
@ -89,7 +140,7 @@ namespace Grid {
ag5xpby_ssp(chi,1.0/See[s],chi,0.0,chi,s,s); //only appearance of See[0]
}
// Apply Uinv = (Linv)^T
axpby_ssp(chi,1.0/cc_d[Ls-1],chi,0.0,chi,this->Ls-1,this->Ls-1);
axpby_ssp(chi,1.0/cc_d[Ls-1],chi,0.0,chi,Ls-1,Ls-1);
for(int s=Ls-2;s>=0;s--){
axpbg5y_ssp(chi,1.0/cc_d[s],chi,-1.0*cc_d[s+1]/See[s]/cc_d[s],chi,s,s+1);
}
@ -112,6 +163,10 @@ namespace Grid {
FourDimGrid, FourDimRedBlackGrid,M5),
mass(_mass)
{
assert((Ls&0x1)==1); // Odd Ls required
int nrational=Ls-1;// Even rational order
zdata = Approx::grid_higham(1.0,nrational);// eps is ignored for higham
SetCoefficientsTanh(zdata,1.0,0.0);
}
}