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@ -1,4 +1,4 @@
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/*************************************************************************************
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/*************************************************************************************
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Grid physics library, www.github.com/paboyle/Grid
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@ -24,279 +24,276 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
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51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
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See the full license in the file "LICENSE" in the top level distribution directory
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*************************************************************************************/
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/* END LEGAL */
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*************************************************************************************/
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/* END LEGAL */
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#include <Grid/qcd/action/fermion/FermionCore.h>
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#include <Grid/qcd/action/fermion/ContinuedFractionFermion5D.h>
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namespace Grid {
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namespace QCD {
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NAMESPACE_BEGIN(Grid);
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template<class Impl>
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void ContinuedFractionFermion5D<Impl>::SetCoefficientsTanh(Approx::zolotarev_data *zdata,RealD scale)
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{
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SetCoefficientsZolotarev(1.0/scale,zdata);
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}
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template<class Impl>
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void ContinuedFractionFermion5D<Impl>::SetCoefficientsZolotarev(RealD zolo_hi,Approx::zolotarev_data *zdata)
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{
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// How to check Ls matches??
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// std::cout<<GridLogMessage << Ls << " Ls"<<std::endl;
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// std::cout<<GridLogMessage << zdata->n << " - n"<<std::endl;
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// std::cout<<GridLogMessage << zdata->da << " -da "<<std::endl;
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// std::cout<<GridLogMessage << zdata->db << " -db"<<std::endl;
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// std::cout<<GridLogMessage << zdata->dn << " -dn"<<std::endl;
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// std::cout<<GridLogMessage << zdata->dd << " -dd"<<std::endl;
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int Ls = this->Ls;
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assert(zdata->db==Ls);// Beta has Ls coeffs
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template<class Impl>
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void ContinuedFractionFermion5D<Impl>::SetCoefficientsTanh(Approx::zolotarev_data *zdata,RealD scale)
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{
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SetCoefficientsZolotarev(1.0/scale,zdata);
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}
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template<class Impl>
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void ContinuedFractionFermion5D<Impl>::SetCoefficientsZolotarev(RealD zolo_hi,Approx::zolotarev_data *zdata)
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{
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// How to check Ls matches??
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// std::cout<<GridLogMessage << Ls << " Ls"<<std::endl;
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// std::cout<<GridLogMessage << zdata->n << " - n"<<std::endl;
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// std::cout<<GridLogMessage << zdata->da << " -da "<<std::endl;
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// std::cout<<GridLogMessage << zdata->db << " -db"<<std::endl;
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// std::cout<<GridLogMessage << zdata->dn << " -dn"<<std::endl;
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// std::cout<<GridLogMessage << zdata->dd << " -dd"<<std::endl;
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int Ls = this->Ls;
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assert(zdata->db==Ls);// Beta has Ls coeffs
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R=(1+this->mass)/(1-this->mass);
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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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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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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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dw_diag = (4.0-this->M5)*ZoloHiInv;
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ZoloHiInv =1.0/zolo_hi;
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dw_diag = (4.0-this->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.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<<GridLogMessage <<"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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template<class Impl>
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RealD ContinuedFractionFermion5D<Impl>::M (const FermionField &psi, FermionField &chi)
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{
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int Ls = this->Ls;
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FermionField D(psi._grid);
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this->DW(psi,D,DaggerNo);
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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*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]*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*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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}
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return norm2(chi);
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}
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template<class Impl>
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RealD ContinuedFractionFermion5D<Impl>::Mdag (const FermionField &psi, FermionField &chi)
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{
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// This matrix is already hermitian. (g5 Dw) = Dw dag g5 = (g5 Dw)dag
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// The rest of matrix is symmetric.
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// Can ignore "dag"
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return M(psi,chi);
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}
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template<class Impl>
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void ContinuedFractionFermion5D<Impl>::Mdir (const FermionField &psi, FermionField &chi,int dir,int disp){
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int Ls = this->Ls;
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this->DhopDir(psi,chi,dir,disp); // Dslash on diagonal. g5 Dslash is hermitian
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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]*ZoloHiInv,chi,0.0,chi,s,s);
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} else {
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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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template<class Impl>
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void ContinuedFractionFermion5D<Impl>::Meooe (const FermionField &psi, FermionField &chi)
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{
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int Ls = this->Ls;
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// Apply 4d dslash
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if ( psi.checkerboard == Odd ) {
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this->DhopEO(psi,chi,DaggerNo); // Dslash on diagonal. g5 Dslash is hermitian
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} else {
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this->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]*ZoloHiInv,chi,0.0,chi,s,s);
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} else {
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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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template<class Impl>
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void ContinuedFractionFermion5D<Impl>::MeooeDag (const FermionField &psi, FermionField &chi)
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{
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this->Meooe(psi,chi);
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}
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template<class Impl>
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void ContinuedFractionFermion5D<Impl>::Mooee (const FermionField &psi, FermionField &chi)
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{
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int Ls = this->Ls;
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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*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+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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ag5xpby_ssp(chi,cc[s]*Beta[s]*sign*dw_diag,psi,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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}
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}
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template<class Impl>
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void ContinuedFractionFermion5D<Impl>::MooeeDag (const FermionField &psi, FermionField &chi)
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{
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this->Mooee(psi,chi);
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}
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template<class Impl>
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void ContinuedFractionFermion5D<Impl>::MooeeInv (const FermionField &psi, FermionField &chi)
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{
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int Ls = this->Ls;
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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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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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// Apply Dinv
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for(int s=0;s<Ls;s++){
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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,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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}
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template<class Impl>
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void ContinuedFractionFermion5D<Impl>::MooeeInvDag (const FermionField &psi, FermionField &chi)
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{
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this->MooeeInv(psi,chi);
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}
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// force terms; five routines; default to Dhop on diagonal
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template<class Impl>
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void ContinuedFractionFermion5D<Impl>::MDeriv (GaugeField &mat,const FermionField &U,const FermionField &V,int dag)
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{
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int Ls = this->Ls;
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FermionField D(V._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==(Ls-1) ){
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ag5xpby_ssp(D,Beta[s]*ZoloHiInv,U,0.0,U,s,s);
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} else {
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ag5xpby_ssp(D,cc[s]*Beta[s]*sign*ZoloHiInv,U,0.0,U,s,s);
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}
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sign=-sign;
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}
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this->DhopDeriv(mat,D,V,DaggerNo);
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};
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template<class Impl>
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void ContinuedFractionFermion5D<Impl>::MoeDeriv(GaugeField &mat,const FermionField &U,const FermionField &V,int dag)
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{
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int Ls = this->Ls;
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FermionField D(V._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==(Ls-1) ){
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ag5xpby_ssp(D,Beta[s]*ZoloHiInv,U,0.0,U,s,s);
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} else {
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ag5xpby_ssp(D,cc[s]*Beta[s]*sign*ZoloHiInv,U,0.0,U,s,s);
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}
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sign=-sign;
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}
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this->DhopDerivOE(mat,D,V,DaggerNo);
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};
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template<class Impl>
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void ContinuedFractionFermion5D<Impl>::MeoDeriv(GaugeField &mat,const FermionField &U,const FermionField &V,int dag)
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{
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int Ls = this->Ls;
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FermionField D(V._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==(Ls-1) ){
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ag5xpby_ssp(D,Beta[s]*ZoloHiInv,U,0.0,U,s,s);
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} else {
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ag5xpby_ssp(D,cc[s]*Beta[s]*sign*ZoloHiInv,U,0.0,U,s,s);
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}
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sign=-sign;
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}
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this->DhopDerivEO(mat,D,V,DaggerNo);
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};
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// Constructors
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template<class Impl>
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ContinuedFractionFermion5D<Impl>::ContinuedFractionFermion5D(
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GaugeField &_Umu,
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GridCartesian &FiveDimGrid,
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GridRedBlackCartesian &FiveDimRedBlackGrid,
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GridCartesian &FourDimGrid,
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GridRedBlackCartesian &FourDimRedBlackGrid,
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RealD _mass,RealD M5,const ImplParams &p) :
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WilsonFermion5D<Impl>(_Umu,
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FiveDimGrid, FiveDimRedBlackGrid,
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FourDimGrid, FourDimRedBlackGrid,M5,p),
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mass(_mass)
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{
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int Ls = this->Ls;
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assert((Ls&0x1)==1); // Odd Ls required
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}
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FermOpTemplateInstantiate(ContinuedFractionFermion5D);
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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<<GridLogMessage <<"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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template<class Impl>
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RealD ContinuedFractionFermion5D<Impl>::M (const FermionField &psi, FermionField &chi)
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{
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int Ls = this->Ls;
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FermionField D(psi._grid);
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this->DW(psi,D,DaggerNo);
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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*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]*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*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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}
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return norm2(chi);
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}
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template<class Impl>
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RealD ContinuedFractionFermion5D<Impl>::Mdag (const FermionField &psi, FermionField &chi)
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{
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// This matrix is already hermitian. (g5 Dw) = Dw dag g5 = (g5 Dw)dag
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// The rest of matrix is symmetric.
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// Can ignore "dag"
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return M(psi,chi);
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}
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template<class Impl>
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void ContinuedFractionFermion5D<Impl>::Mdir (const FermionField &psi, FermionField &chi,int dir,int disp){
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int Ls = this->Ls;
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this->DhopDir(psi,chi,dir,disp); // Dslash on diagonal. g5 Dslash is hermitian
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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]*ZoloHiInv,chi,0.0,chi,s,s);
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} else {
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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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template<class Impl>
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void ContinuedFractionFermion5D<Impl>::Meooe (const FermionField &psi, FermionField &chi)
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{
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int Ls = this->Ls;
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||||
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||||
// Apply 4d dslash
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||||
if ( psi.checkerboard == Odd ) {
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||||
this->DhopEO(psi,chi,DaggerNo); // Dslash on diagonal. g5 Dslash is hermitian
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||||
} else {
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||||
this->DhopOE(psi,chi,DaggerNo); // Dslash on diagonal. g5 Dslash is hermitian
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||||
}
|
||||
|
||||
int sign=1;
|
||||
for(int s=0;s<Ls;s++){
|
||||
if ( s==(Ls-1) ){
|
||||
ag5xpby_ssp(chi,Beta[s]*ZoloHiInv,chi,0.0,chi,s,s);
|
||||
} else {
|
||||
ag5xpby_ssp(chi,cc[s]*Beta[s]*sign*ZoloHiInv,chi,0.0,chi,s,s);
|
||||
}
|
||||
sign=-sign;
|
||||
}
|
||||
}
|
||||
template<class Impl>
|
||||
void ContinuedFractionFermion5D<Impl>::MeooeDag (const FermionField &psi, FermionField &chi)
|
||||
{
|
||||
this->Meooe(psi,chi);
|
||||
}
|
||||
template<class Impl>
|
||||
void ContinuedFractionFermion5D<Impl>::Mooee (const FermionField &psi, FermionField &chi)
|
||||
{
|
||||
int Ls = this->Ls;
|
||||
|
||||
int sign=1;
|
||||
for(int s=0;s<Ls;s++){
|
||||
if ( s==0 ) {
|
||||
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+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 {
|
||||
ag5xpby_ssp(chi,cc[s]*Beta[s]*sign*dw_diag,psi,sqrt_cc[s],psi,s,s+1);
|
||||
axpby_ssp(chi,1.0,chi,sqrt_cc[s-1],psi,s,s-1);
|
||||
}
|
||||
sign=-sign;
|
||||
}
|
||||
}
|
||||
|
||||
template<class Impl>
|
||||
void ContinuedFractionFermion5D<Impl>::MooeeDag (const FermionField &psi, FermionField &chi)
|
||||
{
|
||||
this->Mooee(psi,chi);
|
||||
}
|
||||
template<class Impl>
|
||||
void ContinuedFractionFermion5D<Impl>::MooeeInv (const FermionField &psi, FermionField &chi)
|
||||
{
|
||||
int Ls = this->Ls;
|
||||
|
||||
// Apply Linv
|
||||
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);
|
||||
}
|
||||
// Apply Dinv
|
||||
for(int s=0;s<Ls;s++){
|
||||
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,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);
|
||||
}
|
||||
}
|
||||
template<class Impl>
|
||||
void ContinuedFractionFermion5D<Impl>::MooeeInvDag (const FermionField &psi, FermionField &chi)
|
||||
{
|
||||
this->MooeeInv(psi,chi);
|
||||
}
|
||||
|
||||
// force terms; five routines; default to Dhop on diagonal
|
||||
template<class Impl>
|
||||
void ContinuedFractionFermion5D<Impl>::MDeriv (GaugeField &mat,const FermionField &U,const FermionField &V,int dag)
|
||||
{
|
||||
int Ls = this->Ls;
|
||||
|
||||
FermionField D(V._grid);
|
||||
|
||||
int sign=1;
|
||||
for(int s=0;s<Ls;s++){
|
||||
if ( s==(Ls-1) ){
|
||||
ag5xpby_ssp(D,Beta[s]*ZoloHiInv,U,0.0,U,s,s);
|
||||
} else {
|
||||
ag5xpby_ssp(D,cc[s]*Beta[s]*sign*ZoloHiInv,U,0.0,U,s,s);
|
||||
}
|
||||
sign=-sign;
|
||||
}
|
||||
this->DhopDeriv(mat,D,V,DaggerNo);
|
||||
};
|
||||
template<class Impl>
|
||||
void ContinuedFractionFermion5D<Impl>::MoeDeriv(GaugeField &mat,const FermionField &U,const FermionField &V,int dag)
|
||||
{
|
||||
int Ls = this->Ls;
|
||||
|
||||
FermionField D(V._grid);
|
||||
|
||||
int sign=1;
|
||||
for(int s=0;s<Ls;s++){
|
||||
if ( s==(Ls-1) ){
|
||||
ag5xpby_ssp(D,Beta[s]*ZoloHiInv,U,0.0,U,s,s);
|
||||
} else {
|
||||
ag5xpby_ssp(D,cc[s]*Beta[s]*sign*ZoloHiInv,U,0.0,U,s,s);
|
||||
}
|
||||
sign=-sign;
|
||||
}
|
||||
this->DhopDerivOE(mat,D,V,DaggerNo);
|
||||
};
|
||||
template<class Impl>
|
||||
void ContinuedFractionFermion5D<Impl>::MeoDeriv(GaugeField &mat,const FermionField &U,const FermionField &V,int dag)
|
||||
{
|
||||
int Ls = this->Ls;
|
||||
|
||||
FermionField D(V._grid);
|
||||
|
||||
int sign=1;
|
||||
for(int s=0;s<Ls;s++){
|
||||
if ( s==(Ls-1) ){
|
||||
ag5xpby_ssp(D,Beta[s]*ZoloHiInv,U,0.0,U,s,s);
|
||||
} else {
|
||||
ag5xpby_ssp(D,cc[s]*Beta[s]*sign*ZoloHiInv,U,0.0,U,s,s);
|
||||
}
|
||||
sign=-sign;
|
||||
}
|
||||
this->DhopDerivEO(mat,D,V,DaggerNo);
|
||||
};
|
||||
|
||||
// Constructors
|
||||
template<class Impl>
|
||||
ContinuedFractionFermion5D<Impl>::ContinuedFractionFermion5D(
|
||||
GaugeField &_Umu,
|
||||
GridCartesian &FiveDimGrid,
|
||||
GridRedBlackCartesian &FiveDimRedBlackGrid,
|
||||
GridCartesian &FourDimGrid,
|
||||
GridRedBlackCartesian &FourDimRedBlackGrid,
|
||||
RealD _mass,RealD M5,const ImplParams &p) :
|
||||
WilsonFermion5D<Impl>(_Umu,
|
||||
FiveDimGrid, FiveDimRedBlackGrid,
|
||||
FourDimGrid, FourDimRedBlackGrid,M5,p),
|
||||
mass(_mass)
|
||||
{
|
||||
int Ls = this->Ls;
|
||||
assert((Ls&0x1)==1); // Odd Ls required
|
||||
}
|
||||
|
||||
FermOpTemplateInstantiate(ContinuedFractionFermion5D);
|
||||
|
||||
NAMESPACE_END(Grid);
|
||||
|
||||
Loading…
x
Reference in New Issue
Block a user