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https://github.com/paboyle/Grid.git
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First pass at continued fraction; solver and even odd decomposition tests pass.
Have to make ContFrac class virtual and derive end non-abstract actions for the particular cases.
This commit is contained in:
Peter Boyle
parent
e68d087010
commit
802e94e9ca
@ -229,7 +229,14 @@ namespace QCD {
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}
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}
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void CayleyFermion5D::SetCoefficients(RealD scale,Approx::zolotarev_data *zdata,RealD b,RealD c)
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// Tanh
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void CayleyFermion5D::SetCoefficientsTanh(Approx::zolotarev_data *zdata,RealD b,RealD c)
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{
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SetCoefficientsZolotarev(1.0,zdata,b,c);
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}
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//Zolo
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void CayleyFermion5D::SetCoefficientsZolotarev(RealD zolo_hi,Approx::zolotarev_data *zdata,RealD b,RealD c)
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{
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///////////////////////////////////////////////////////////
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@ -266,7 +273,7 @@ namespace QCD {
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double bmc = b-c;
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for(int i=0; i < Ls; i++){
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as[i] = 1.0;
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omega[i] = ((double)zdata->gamma[i]); //NB reciprocal relative to Chroma NEF code
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omega[i] = ((double)zdata->gamma[i])*zolo_hi; //NB reciprocal relative to Chroma NEF code
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bs[i] = 0.5*(bpc/omega[i] + bmc);
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cs[i] = 0.5*(bpc/omega[i] - bmc);
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}
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@ -20,7 +20,7 @@ namespace Grid {
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virtual void MooeeDag (const LatticeFermion &in, LatticeFermion &out);
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virtual void MooeeInv (const LatticeFermion &in, LatticeFermion &out);
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virtual void MooeeInvDag (const LatticeFermion &in, LatticeFermion &out);
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virtual void Instantiatable(void)=0;
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// protected:
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RealD mass;
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@ -52,7 +52,8 @@ namespace Grid {
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RealD _mass,RealD _M5);
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protected:
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void SetCoefficients(RealD scale,Approx::zolotarev_data *zdata,RealD b,RealD c);
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void SetCoefficientsZolotarev(RealD zolohi,Approx::zolotarev_data *zdata,RealD b,RealD c);
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void SetCoefficientsTanh(Approx::zolotarev_data *zdata,RealD b,RealD c);
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};
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}
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@ -1,9 +1,56 @@
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#include <Grid.h>
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namespace Grid {
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namespace QCD {
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void ContinuedFractionFermion5D::SetCoefficientsTanh(Approx::zolotarev_data *zdata,RealD b,RealD c)
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{
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SetCoefficientsZolotarev(1.0,zdata,b,c);
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}
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void ContinuedFractionFermion5D::SetCoefficientsZolotarev(RealD zolo_hi,Approx::zolotarev_data *zdata,RealD b,RealD c)
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{
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R=(1+this->mass)/(1-this->mass);
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Beta.resize(Ls);
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cc.resize(Ls);
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cc_d.resize(Ls);
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sqrt_cc.resize(Ls);
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for(int i=0; i < Ls ; i++){
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Beta[i] = zdata -> beta[i];
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cc[i] = 1.0/Beta[i];
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cc_d[i]=sqrt(cc[i]);
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}
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cc_d[Ls-1]=1.0;
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for(int i=0; i < Ls-1 ; i++){
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sqrt_cc[i]= sqrt(cc[i]*cc[i+1]);
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}
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sqrt_cc[Ls-2]=sqrt(cc[Ls-2]);
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ZoloHiInv =1.0/zolo_hi;
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double dw_diag = (4.0-M5)*ZoloHiInv;
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See.resize(Ls);
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Aee.resize(Ls);
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int sign=1;
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for(int s=0;s<Ls;s++){
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Aee[s] = sign * Beta[s] * dw_diag;
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sign = - sign;
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}
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Aee[Ls-1] += R;
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See[0] = Aee[0];
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for(int s=1;s<Ls;s++){
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See[s] = Aee[s] - 1.0/See[s-1];
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}
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for(int s=0;s<Ls;s++){
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std::cout <<"s = "<<s<<" Beta "<<Beta[s]<<" Aee "<<Aee[s] <<" See "<<See[s] <<std::endl;
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}
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}
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RealD ContinuedFractionFermion5D::M (const LatticeFermion &psi, LatticeFermion &chi)
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{
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LatticeFermion D(psi._grid);
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@ -13,13 +60,13 @@ namespace Grid {
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int sign=1;
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for(int s=0;s<Ls;s++){
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if ( s==0 ) {
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ag5xpby_ssp(chi,cc[0]*Beta[0]*sign*scale,D,sqrt_cc[0],psi,s,s+1); // Multiplies Dw by G5 so Hw
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ag5xpby_ssp(chi,cc[0]*Beta[0]*sign*ZoloHiInv,D,sqrt_cc[0],psi,s,s+1); // Multiplies Dw by G5 so Hw
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} else if ( s==(Ls-1) ){
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RealD R=(1.0+mass)/(1.0-mass);
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ag5xpby_ssp(chi,Beta[s]*scale,D,sqrt_cc[s-1],psi,s,s-1);
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ag5xpby_ssp(chi,Beta[s]*ZoloHiInv,D,sqrt_cc[s-1],psi,s,s-1);
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ag5xpby_ssp(chi,R,psi,1.0,chi,s,s);
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} else {
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ag5xpby_ssp(chi,cc[s]*Beta[s]*sign*scale,D,sqrt_cc[s],psi,s,s+1);
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ag5xpby_ssp(chi,cc[s]*Beta[s]*sign*ZoloHiInv,D,sqrt_cc[s],psi,s,s+1);
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axpby_ssp(chi,1.0,chi,sqrt_cc[s-1],psi,s,s-1);
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}
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sign=-sign;
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@ -35,18 +82,22 @@ namespace Grid {
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}
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void ContinuedFractionFermion5D::Meooe (const LatticeFermion &psi, LatticeFermion &chi)
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{
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Dhop(psi,chi,DaggerNo); // Dslash on diagonal. g5 Dslash is hermitian
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// Apply 4d dslash
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if ( psi.checkerboard == Odd ) {
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DhopEO(psi,chi,DaggerNo); // Dslash on diagonal. g5 Dslash is hermitian
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} else {
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DhopOE(psi,chi,DaggerNo); // Dslash on diagonal. g5 Dslash is hermitian
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}
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int sign=1;
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for(int s=0;s<Ls;s++){
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if ( s==(Ls-1) ){
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ag5xpby_ssp(chi,Beta[s]*scale,chi,0.0,chi,s,s);
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ag5xpby_ssp(chi,Beta[s]*ZoloHiInv,chi,0.0,chi,s,s);
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} else {
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ag5xpby_ssp(chi,cc[s]*Beta[s]*sign*scale,chi,0.0,chi,s,s);
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ag5xpby_ssp(chi,cc[s]*Beta[s]*sign*ZoloHiInv,chi,0.0,chi,s,s);
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}
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sign=-sign;
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}
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}
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}
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void ContinuedFractionFermion5D::MeooeDag (const LatticeFermion &psi, LatticeFermion &chi)
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{
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@ -54,7 +105,7 @@ namespace Grid {
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}
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void ContinuedFractionFermion5D::Mooee (const LatticeFermion &psi, LatticeFermion &chi)
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{
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double dw_diag = (4.0-this->M5)*scale;
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double dw_diag = (4.0-M5)*ZoloHiInv;
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int sign=1;
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for(int s=0;s<Ls;s++){
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@ -62,7 +113,7 @@ namespace Grid {
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ag5xpby_ssp(chi,cc[0]*Beta[0]*sign*dw_diag,psi,sqrt_cc[0],psi,s,s+1); // Multiplies Dw by G5 so Hw
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} else if ( s==(Ls-1) ){
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// Drop the CC here.
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double R=(1+this->mass)/(1-this->mass);
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double R=(1+mass)/(1-mass);
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ag5xpby_ssp(chi,Beta[s]*dw_diag,psi,sqrt_cc[s-1],psi,s,s-1);
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ag5xpby_ssp(chi,R,psi,1.0,chi,s,s);
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} else {
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@ -80,7 +131,7 @@ namespace Grid {
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void ContinuedFractionFermion5D::MooeeInv (const LatticeFermion &psi, LatticeFermion &chi)
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{
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// Apply Linv
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axpby_ssp(chi,1.0/cc_d[0],psi,0.0,psi,0,0);
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axpby_ssp(chi,1.0/cc_d[0],psi,0.0,psi,0,0);
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for(int s=1;s<Ls;s++){
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axpbg5y_ssp(chi,1.0/cc_d[s],psi,-1.0/See[s-1],chi,s,s-1);
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}
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@ -89,7 +140,7 @@ namespace Grid {
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ag5xpby_ssp(chi,1.0/See[s],chi,0.0,chi,s,s); //only appearance of See[0]
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}
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// Apply Uinv = (Linv)^T
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axpby_ssp(chi,1.0/cc_d[Ls-1],chi,0.0,chi,this->Ls-1,this->Ls-1);
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axpby_ssp(chi,1.0/cc_d[Ls-1],chi,0.0,chi,Ls-1,Ls-1);
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for(int s=Ls-2;s>=0;s--){
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axpbg5y_ssp(chi,1.0/cc_d[s],chi,-1.0*cc_d[s+1]/See[s]/cc_d[s],chi,s,s+1);
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}
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@ -112,6 +163,10 @@ namespace Grid {
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FourDimGrid, FourDimRedBlackGrid,M5),
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mass(_mass)
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{
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assert((Ls&0x1)==1); // Odd Ls required
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int nrational=Ls-1;// Even rational order
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zdata = Approx::grid_higham(1.0,nrational);// eps is ignored for higham
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SetCoefficientsTanh(zdata,1.0,0.0);
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}
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}
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@ -21,20 +21,8 @@ namespace Grid {
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virtual void MooeeInv (const LatticeFermion &in, LatticeFermion &out);
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virtual void MooeeInvDag (const LatticeFermion &in, LatticeFermion &out);
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private:
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Approx::zolotarev_data *zdata;
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// Cont frac
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RealD mass;
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RealD R;
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RealD scale;
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std::vector<double> Beta;
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std::vector<double> cc;;
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std::vector<double> cc_d;;
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std::vector<double> sqrt_cc;
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std::vector<double> See;
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std::vector<double> Aee;
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// virtual void Instantiatable(void)=0;
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virtual void Instantiatable(void) {};
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// Constructors
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ContinuedFractionFermion5D(LatticeGaugeField &_Umu,
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@ -44,6 +32,24 @@ namespace Grid {
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GridRedBlackCartesian &FourDimRedBlackGrid,
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RealD _mass,RealD M5);
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protected:
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void SetCoefficientsTanh(Approx::zolotarev_data *zdata,RealD b,RealD c);
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void SetCoefficientsZolotarev(RealD zolo_hi,Approx::zolotarev_data *zdata,RealD b,RealD c);
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Approx::zolotarev_data *zdata;
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// Cont frac
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RealD mass;
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RealD R;
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RealD ZoloHiInv;
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std::vector<double> Beta;
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std::vector<double> cc;;
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std::vector<double> cc_d;;
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std::vector<double> sqrt_cc;
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std::vector<double> See;
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std::vector<double> Aee;
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};
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@ -11,6 +11,7 @@ namespace Grid {
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{
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public:
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virtual void Instantiatable(void) {};
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// Constructors
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DomainWallFermion(LatticeGaugeField &_Umu,
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GridCartesian &FiveDimGrid,
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@ -33,7 +34,7 @@ namespace Grid {
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std::cout << "DomainWallFermion with Ls="<<Ls<<std::endl;
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// Call base setter
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this->CayleyFermion5D::SetCoefficients(1.0,zdata,1.0,0.0);
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this->CayleyFermion5D::SetCoefficientsTanh(zdata,1.0,0.0);
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}
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@ -11,6 +11,7 @@ namespace Grid {
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{
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public:
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virtual void Instantiatable(void) {};
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// Constructors
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MobiusFermion(LatticeGaugeField &_Umu,
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GridCartesian &FiveDimGrid,
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@ -34,7 +35,7 @@ namespace Grid {
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assert(zdata->n==this->Ls);
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// Call base setter
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this->CayleyFermion5D::SetCoefficients(1.0,zdata,b,c);
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this->CayleyFermion5D::SetCoefficientsTanh(zdata,b,c);
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}
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@ -11,6 +11,7 @@ namespace Grid {
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{
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public:
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virtual void Instantiatable(void) {};
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// Constructors
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MobiusZolotarevFermion(LatticeGaugeField &_Umu,
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GridCartesian &FiveDimGrid,
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@ -34,10 +35,9 @@ namespace Grid {
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assert(zdata->n==this->Ls);
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std::cout << "MobiusZolotarevFermion (b="<<b<<",c="<<c<<") with Ls= "<<Ls<<" Zolotarev range ["<<lo<<","<<hi<<"]"<<std::endl;
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std::cout << "MobiusZolotarevFermion : note there is a degeneracy between (b+c) and Zolo param hi"<<std::endl;
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// Call base setter
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this->CayleyFermion5D::SetCoefficients(1.0,zdata,b,c);
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this->CayleyFermion5D::SetCoefficientsZolotarev(hi,zdata,b,c);
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}
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@ -1,5 +1,21 @@
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bin_PROGRAMS = Test_cshift Test_cshift_red_black Test_dwf_cg_prec Test_dwf_cg_schur Test_dwf_cg_unprec Test_dwf_even_odd Test_gamma Test_main Test_many_cg Test_many_evenodd Test_nersc_io Test_remez Test_rng Test_rng_fixed Test_simd Test_stencil Test_wilson_cg_prec Test_wilson_cg_schur Test_wilson_cg_unprec Test_wilson_evenodd
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bin_PROGRAMS = Test_cayley_cg Test_cayley_even_odd Test_contfrac_cg Test_contfrac_even_odd Test_cshift Test_cshift_red_black Test_dwf_cg_prec Test_dwf_cg_schur Test_dwf_cg_unprec Test_dwf_even_odd Test_gamma Test_main Test_nersc_io Test_remez Test_rng Test_rng_fixed Test_simd Test_stencil Test_wilson_cg_prec Test_wilson_cg_schur Test_wilson_cg_unprec Test_wilson_even_odd
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Test_cayley_cg_SOURCES=Test_cayley_cg.cc
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Test_cayley_cg_LDADD=-lGrid
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Test_cayley_even_odd_SOURCES=Test_cayley_even_odd.cc
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Test_cayley_even_odd_LDADD=-lGrid
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Test_contfrac_cg_SOURCES=Test_contfrac_cg.cc
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Test_contfrac_cg_LDADD=-lGrid
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Test_contfrac_even_odd_SOURCES=Test_contfrac_even_odd.cc
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Test_contfrac_even_odd_LDADD=-lGrid
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Test_cshift_SOURCES=Test_cshift.cc
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@ -34,14 +50,6 @@ Test_main_SOURCES=Test_main.cc
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Test_main_LDADD=-lGrid
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Test_many_cg_SOURCES=Test_many_cg.cc
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Test_many_cg_LDADD=-lGrid
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Test_many_evenodd_SOURCES=Test_many_evenodd.cc
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Test_many_evenodd_LDADD=-lGrid
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Test_nersc_io_SOURCES=Test_nersc_io.cc
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Test_nersc_io_LDADD=-lGrid
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@ -78,6 +86,6 @@ Test_wilson_cg_unprec_SOURCES=Test_wilson_cg_unprec.cc
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Test_wilson_cg_unprec_LDADD=-lGrid
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Test_wilson_evenodd_SOURCES=Test_wilson_evenodd.cc
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Test_wilson_evenodd_LDADD=-lGrid
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Test_wilson_even_odd_SOURCES=Test_wilson_even_odd.cc
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Test_wilson_even_odd_LDADD=-lGrid
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@ -1,2 +0,0 @@
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f(x) = 6.81384+(-2.34645e-06/(x+0.000228091))+(-1.51593e-05/(x+0.00112084))+(-6.89254e-05/(x+0.003496))+(-0.000288983/(x+0.00954309))+(-0.00119277/(x+0.024928))+(-0.0050183/(x+0.0646627))+(-0.0226449/(x+0.171576))+(-0.123767/(x+0.491792))+(-1.1705/(x+1.78667))+(-102.992/(x+18.4866));
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f(x) = 0.14676+(0.00952992/(x+5.40933e-05))+(0.0115952/(x+0.000559699))+(0.0161824/(x+0.00203338))+(0.0243252/(x+0.00582831))+(0.0379533/(x+0.0154649))+(0.060699/(x+0.0401156))+(0.100345/(x+0.104788))+(0.178335/(x+0.286042))+(0.381586/(x+0.892189))+(1.42625/(x+4.38422));
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147
tests/Test_contfrac_cg.cc
Normal file
147
tests/Test_contfrac_cg.cc
Normal file
@ -0,0 +1,147 @@
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#include <Grid.h>
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using namespace std;
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using namespace Grid;
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using namespace Grid::QCD;
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template<class d>
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struct scal {
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d internal;
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};
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Gamma::GammaMatrix Gmu [] = {
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Gamma::GammaX,
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Gamma::GammaY,
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Gamma::GammaZ,
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Gamma::GammaT
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};
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template<class What>
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void TestCGinversions(What & Ddwf,
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GridCartesian * FGrid, GridRedBlackCartesian * FrbGrid,
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GridCartesian * UGrid, GridRedBlackCartesian * UrbGrid,
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RealD mass, RealD M5,
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GridParallelRNG *RNG4,
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GridParallelRNG *RNG5);
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template<class What>
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void TestCGschur(What & Ddwf,
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GridCartesian * FGrid, GridRedBlackCartesian * FrbGrid,
|
||||
GridCartesian * UGrid, GridRedBlackCartesian * UrbGrid,
|
||||
RealD mass, RealD M5,
|
||||
GridParallelRNG *RNG4,
|
||||
GridParallelRNG *RNG5);
|
||||
|
||||
template<class What>
|
||||
void TestCGunprec(What & Ddwf,
|
||||
GridCartesian * FGrid, GridRedBlackCartesian * FrbGrid,
|
||||
GridCartesian * UGrid, GridRedBlackCartesian * UrbGrid,
|
||||
RealD mass, RealD M5,
|
||||
GridParallelRNG *RNG4,
|
||||
GridParallelRNG *RNG5);
|
||||
|
||||
template<class What>
|
||||
void TestCGprec(What & Ddwf,
|
||||
GridCartesian * FGrid, GridRedBlackCartesian * FrbGrid,
|
||||
GridCartesian * UGrid, GridRedBlackCartesian * UrbGrid,
|
||||
RealD mass, RealD M5,
|
||||
GridParallelRNG *RNG4,
|
||||
GridParallelRNG *RNG5);
|
||||
|
||||
int main (int argc, char ** argv)
|
||||
{
|
||||
Grid_init(&argc,&argv);
|
||||
|
||||
int threads = GridThread::GetThreads();
|
||||
std::cout << "Grid is setup to use "<<threads<<" threads"<<std::endl;
|
||||
|
||||
const int Ls=9;
|
||||
GridCartesian * UGrid = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplexF::Nsimd()),GridDefaultMpi());
|
||||
GridRedBlackCartesian * UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
|
||||
GridCartesian * FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls,UGrid);
|
||||
GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGrid);
|
||||
|
||||
|
||||
std::vector<int> seeds4({1,2,3,4});
|
||||
std::vector<int> seeds5({5,6,7,8});
|
||||
GridParallelRNG RNG5(FGrid); RNG5.SeedFixedIntegers(seeds5);
|
||||
GridParallelRNG RNG4(UGrid); RNG4.SeedFixedIntegers(seeds4);
|
||||
|
||||
LatticeGaugeField Umu(UGrid); random(RNG4,Umu);
|
||||
std::vector<LatticeColourMatrix> U(4,UGrid);
|
||||
|
||||
RealD mass=0.1;
|
||||
RealD M5 =1.8;
|
||||
std::cout <<"ContinuedFractionFermion test"<<std::endl;
|
||||
ContinuedFractionFermion5D Dcf(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5);
|
||||
TestCGinversions<ContinuedFractionFermion5D>(Dcf,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
|
||||
|
||||
Grid_finalize();
|
||||
}
|
||||
template<class What>
|
||||
void TestCGinversions(What & Ddwf,
|
||||
GridCartesian * FGrid, GridRedBlackCartesian * FrbGrid,
|
||||
GridCartesian * UGrid, GridRedBlackCartesian * UrbGrid,
|
||||
RealD mass, RealD M5,
|
||||
GridParallelRNG *RNG4,
|
||||
GridParallelRNG *RNG5)
|
||||
{
|
||||
std::cout << "Testing unpreconditioned inverter"<<std::endl;
|
||||
TestCGunprec<What>(Ddwf,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,RNG4,RNG5);
|
||||
std::cout << "Testing red black preconditioned inverter"<<std::endl;
|
||||
TestCGprec<What>(Ddwf,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,RNG4,RNG5);
|
||||
std::cout << "Testing red black Schur inverter"<<std::endl;
|
||||
TestCGschur<What>(Ddwf,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,RNG4,RNG5);
|
||||
}
|
||||
|
||||
template<class What>
|
||||
void TestCGunprec(What & Ddwf,
|
||||
GridCartesian * FGrid, GridRedBlackCartesian * FrbGrid,
|
||||
GridCartesian * UGrid, GridRedBlackCartesian * UrbGrid,
|
||||
RealD mass, RealD M5,
|
||||
GridParallelRNG *RNG4,
|
||||
GridParallelRNG *RNG5)
|
||||
{
|
||||
LatticeFermion src (FGrid); random(*RNG5,src);
|
||||
LatticeFermion result(FGrid); result=zero;
|
||||
|
||||
HermitianOperator<What,LatticeFermion> HermOp(Ddwf);
|
||||
ConjugateGradient<LatticeFermion> CG(1.0e-8,10000);
|
||||
CG(HermOp,src,result);
|
||||
|
||||
}
|
||||
template<class What>
|
||||
void TestCGprec(What & Ddwf,
|
||||
GridCartesian * FGrid, GridRedBlackCartesian * FrbGrid,
|
||||
GridCartesian * UGrid, GridRedBlackCartesian * UrbGrid,
|
||||
RealD mass, RealD M5,
|
||||
GridParallelRNG *RNG4,
|
||||
GridParallelRNG *RNG5)
|
||||
{
|
||||
LatticeFermion src (FGrid); random(*RNG5,src);
|
||||
LatticeFermion src_o(FrbGrid);
|
||||
LatticeFermion result_o(FrbGrid);
|
||||
pickCheckerboard(Odd,src_o,src);
|
||||
result_o=zero;
|
||||
|
||||
HermitianCheckerBoardedOperator<What,LatticeFermion> HermOpEO(Ddwf);
|
||||
ConjugateGradient<LatticeFermion> CG(1.0e-8,10000);
|
||||
CG(HermOpEO,src_o,result_o);
|
||||
}
|
||||
|
||||
|
||||
template<class What>
|
||||
void TestCGschur(What & Ddwf,
|
||||
GridCartesian * FGrid, GridRedBlackCartesian * FrbGrid,
|
||||
GridCartesian * UGrid, GridRedBlackCartesian * UrbGrid,
|
||||
RealD mass, RealD M5,
|
||||
GridParallelRNG *RNG4,
|
||||
GridParallelRNG *RNG5)
|
||||
{
|
||||
LatticeFermion src (FGrid); random(*RNG5,src);
|
||||
LatticeFermion result(FGrid); result=zero;
|
||||
|
||||
ConjugateGradient<LatticeFermion> CG(1.0e-8,10000);
|
||||
SchurRedBlackSolve<LatticeFermion> SchurSolver(CG);
|
||||
SchurSolver(Ddwf,src,result);
|
||||
}
|
||||
218
tests/Test_contfrac_even_odd.cc
Normal file
218
tests/Test_contfrac_even_odd.cc
Normal file
@ -0,0 +1,218 @@
|
||||
#include <Grid.h>
|
||||
|
||||
using namespace std;
|
||||
using namespace Grid;
|
||||
using namespace Grid::QCD;
|
||||
|
||||
template<class d>
|
||||
struct scal {
|
||||
d internal;
|
||||
};
|
||||
|
||||
Gamma::GammaMatrix Gmu [] = {
|
||||
Gamma::GammaX,
|
||||
Gamma::GammaY,
|
||||
Gamma::GammaZ,
|
||||
Gamma::GammaT
|
||||
};
|
||||
|
||||
|
||||
template<class What>
|
||||
void TestWhat(What & Ddwf,
|
||||
GridCartesian * FGrid, GridRedBlackCartesian * FrbGrid,
|
||||
GridCartesian * UGrid, GridRedBlackCartesian * UrbGrid,
|
||||
RealD mass, RealD M5,
|
||||
GridParallelRNG *RNG4, GridParallelRNG *RNG5);
|
||||
|
||||
int main (int argc, char ** argv)
|
||||
{
|
||||
Grid_init(&argc,&argv);
|
||||
|
||||
int threads = GridThread::GetThreads();
|
||||
std::cout << "Grid is setup to use "<<threads<<" threads"<<std::endl;
|
||||
|
||||
const int Ls=9;
|
||||
GridCartesian * UGrid = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplexF::Nsimd()),GridDefaultMpi());
|
||||
GridRedBlackCartesian * UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
|
||||
GridCartesian * FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls,UGrid);
|
||||
GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGrid);
|
||||
|
||||
|
||||
std::vector<int> seeds4({1,2,3,4});
|
||||
std::vector<int> seeds5({5,6,7,8});
|
||||
GridParallelRNG RNG5(FGrid); RNG5.SeedFixedIntegers(seeds5);
|
||||
GridParallelRNG RNG4(UGrid); RNG4.SeedFixedIntegers(seeds4);
|
||||
|
||||
LatticeGaugeField Umu(UGrid); random(RNG4,Umu);
|
||||
std::vector<LatticeColourMatrix> U(4,UGrid);
|
||||
|
||||
RealD mass=0.1;
|
||||
RealD M5 =1.8;
|
||||
std::cout <<"ContinuedFractionFermion test"<<std::endl;
|
||||
ContinuedFractionFermion5D Dcf(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5);
|
||||
TestWhat<ContinuedFractionFermion5D>(Dcf,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
|
||||
|
||||
Grid_finalize();
|
||||
}
|
||||
|
||||
template<class What>
|
||||
void TestWhat(What & Ddwf,
|
||||
GridCartesian * FGrid, GridRedBlackCartesian * FrbGrid,
|
||||
GridCartesian * UGrid, GridRedBlackCartesian * UrbGrid,
|
||||
RealD mass, RealD M5,
|
||||
GridParallelRNG *RNG4,
|
||||
GridParallelRNG *RNG5)
|
||||
{
|
||||
|
||||
LatticeFermion src (FGrid); random(*RNG5,src);
|
||||
LatticeFermion phi (FGrid); random(*RNG5,phi);
|
||||
LatticeFermion chi (FGrid); random(*RNG5,chi);
|
||||
LatticeFermion result(FGrid); result=zero;
|
||||
LatticeFermion ref(FGrid); ref=zero;
|
||||
LatticeFermion tmp(FGrid); tmp=zero;
|
||||
LatticeFermion err(FGrid); tmp=zero;
|
||||
|
||||
LatticeFermion src_e (FrbGrid);
|
||||
LatticeFermion src_o (FrbGrid);
|
||||
LatticeFermion r_e (FrbGrid);
|
||||
LatticeFermion r_o (FrbGrid);
|
||||
LatticeFermion r_eo (FGrid);
|
||||
LatticeFermion r_eeoo(FGrid);
|
||||
|
||||
std::cout<<"=========================================================="<<std::endl;
|
||||
std::cout<<"= Testing that Meo + Moe + Moo + Mee = Munprec "<<std::endl;
|
||||
std::cout<<"=========================================================="<<std::endl;
|
||||
|
||||
pickCheckerboard(Even,src_e,src);
|
||||
pickCheckerboard( Odd,src_o,src);
|
||||
|
||||
Ddwf.Meooe(src_e,r_o); std::cout<<"Applied Meo "<<norm2(r_o)<<std::endl;
|
||||
Ddwf.Meooe(src_o,r_e); std::cout<<"Applied Moe "<<norm2(r_e)<<std::endl;
|
||||
setCheckerboard(r_eo,r_o);
|
||||
setCheckerboard(r_eo,r_e);
|
||||
|
||||
Ddwf.Mooee(src_e,r_e); std::cout<<"Applied Mee"<<norm2(r_e)<<std::endl;
|
||||
Ddwf.Mooee(src_o,r_o); std::cout<<"Applied Moo"<<norm2(r_o)<<std::endl;
|
||||
setCheckerboard(r_eeoo,r_e);
|
||||
setCheckerboard(r_eeoo,r_o);
|
||||
|
||||
r_eo=r_eo+r_eeoo;
|
||||
Ddwf.M(src,ref);
|
||||
|
||||
// std::cout << r_eo<<std::endl;
|
||||
// std::cout << ref <<std::endl;
|
||||
|
||||
err= ref - r_eo;
|
||||
std::cout << "EO norm diff "<< norm2(err)<< " "<<norm2(ref)<< " " << norm2(r_eo) <<std::endl;
|
||||
|
||||
LatticeComplex cerr(FGrid);
|
||||
cerr = localInnerProduct(err,err);
|
||||
// std::cout << cerr<<std::endl;
|
||||
|
||||
std::cout<<"=============================================================="<<std::endl;
|
||||
std::cout<<"= Test Ddagger is the dagger of D by requiring "<<std::endl;
|
||||
std::cout<<"= < phi | Deo | chi > * = < chi | Deo^dag| phi> "<<std::endl;
|
||||
std::cout<<"=============================================================="<<std::endl;
|
||||
|
||||
LatticeFermion chi_e (FrbGrid);
|
||||
LatticeFermion chi_o (FrbGrid);
|
||||
|
||||
LatticeFermion dchi_e (FrbGrid);
|
||||
LatticeFermion dchi_o (FrbGrid);
|
||||
|
||||
LatticeFermion phi_e (FrbGrid);
|
||||
LatticeFermion phi_o (FrbGrid);
|
||||
|
||||
LatticeFermion dphi_e (FrbGrid);
|
||||
LatticeFermion dphi_o (FrbGrid);
|
||||
|
||||
|
||||
pickCheckerboard(Even,chi_e,chi);
|
||||
pickCheckerboard(Odd ,chi_o,chi);
|
||||
pickCheckerboard(Even,phi_e,phi);
|
||||
pickCheckerboard(Odd ,phi_o,phi);
|
||||
|
||||
Ddwf.Meooe(chi_e,dchi_o);
|
||||
Ddwf.Meooe(chi_o,dchi_e);
|
||||
Ddwf.MeooeDag(phi_e,dphi_o);
|
||||
Ddwf.MeooeDag(phi_o,dphi_e);
|
||||
|
||||
ComplexD pDce = innerProduct(phi_e,dchi_e);
|
||||
ComplexD pDco = innerProduct(phi_o,dchi_o);
|
||||
ComplexD cDpe = innerProduct(chi_e,dphi_e);
|
||||
ComplexD cDpo = innerProduct(chi_o,dphi_o);
|
||||
|
||||
std::cout <<"e "<<pDce<<" "<<cDpe <<std::endl;
|
||||
std::cout <<"o "<<pDco<<" "<<cDpo <<std::endl;
|
||||
|
||||
std::cout <<"pDce - conj(cDpo) "<< pDce-conj(cDpo) <<std::endl;
|
||||
std::cout <<"pDco - conj(cDpe) "<< pDco-conj(cDpe) <<std::endl;
|
||||
|
||||
std::cout<<"=============================================================="<<std::endl;
|
||||
std::cout<<"= Test MeeInv Mee = 1 "<<std::endl;
|
||||
std::cout<<"=============================================================="<<std::endl;
|
||||
|
||||
pickCheckerboard(Even,chi_e,chi);
|
||||
pickCheckerboard(Odd ,chi_o,chi);
|
||||
|
||||
Ddwf.Mooee(chi_e,src_e);
|
||||
Ddwf.MooeeInv(src_e,phi_e);
|
||||
|
||||
Ddwf.Mooee(chi_o,src_o);
|
||||
Ddwf.MooeeInv(src_o,phi_o);
|
||||
|
||||
setCheckerboard(phi,phi_e);
|
||||
setCheckerboard(phi,phi_o);
|
||||
|
||||
err = phi-chi;
|
||||
std::cout << "norm diff "<< norm2(err)<< std::endl;
|
||||
|
||||
std::cout<<"=============================================================="<<std::endl;
|
||||
std::cout<<"= Test MeeInvDag MeeDag = 1 "<<std::endl;
|
||||
std::cout<<"=============================================================="<<std::endl;
|
||||
|
||||
pickCheckerboard(Even,chi_e,chi);
|
||||
pickCheckerboard(Odd ,chi_o,chi);
|
||||
|
||||
Ddwf.MooeeDag(chi_e,src_e);
|
||||
Ddwf.MooeeInvDag(src_e,phi_e);
|
||||
|
||||
Ddwf.MooeeDag(chi_o,src_o);
|
||||
Ddwf.MooeeInvDag(src_o,phi_o);
|
||||
|
||||
setCheckerboard(phi,phi_e);
|
||||
setCheckerboard(phi,phi_o);
|
||||
|
||||
err = phi-chi;
|
||||
std::cout << "norm diff "<< norm2(err)<< std::endl;
|
||||
|
||||
std::cout<<"=============================================================="<<std::endl;
|
||||
std::cout<<"= Test MpcDagMpc is Hermitian "<<std::endl;
|
||||
std::cout<<"=============================================================="<<std::endl;
|
||||
|
||||
random(*RNG5,phi);
|
||||
random(*RNG5,chi);
|
||||
pickCheckerboard(Even,chi_e,chi);
|
||||
pickCheckerboard(Odd ,chi_o,chi);
|
||||
pickCheckerboard(Even,phi_e,phi);
|
||||
pickCheckerboard(Odd ,phi_o,phi);
|
||||
RealD t1,t2;
|
||||
|
||||
Ddwf.MpcDagMpc(chi_e,dchi_e,t1,t2);
|
||||
Ddwf.MpcDagMpc(chi_o,dchi_o,t1,t2);
|
||||
|
||||
Ddwf.MpcDagMpc(phi_e,dphi_e,t1,t2);
|
||||
Ddwf.MpcDagMpc(phi_o,dphi_o,t1,t2);
|
||||
|
||||
pDce = innerProduct(phi_e,dchi_e);
|
||||
pDco = innerProduct(phi_o,dchi_o);
|
||||
cDpe = innerProduct(chi_e,dphi_e);
|
||||
cDpo = innerProduct(chi_o,dphi_o);
|
||||
|
||||
std::cout <<"e "<<pDce<<" "<<cDpe <<std::endl;
|
||||
std::cout <<"o "<<pDco<<" "<<cDpo <<std::endl;
|
||||
|
||||
std::cout <<"pDce - conj(cDpo) "<< pDco-conj(cDpo) <<std::endl;
|
||||
std::cout <<"pDco - conj(cDpe) "<< pDce-conj(cDpe) <<std::endl;
|
||||
|
||||
}
|
||||
Loading…
Reference in New Issue
Block a user