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1064 lines
36 KiB
C++
1064 lines
36 KiB
C++
/*************************************************************************************
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Grid physics library, www.github.com/paboyle/Grid
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Source file: ./tests/Test_dwf_hdcr.cc
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Copyright (C) 2015
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Author: Peter Boyle <paboyle@ph.ed.ac.uk>
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This program is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License along
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with this program; if not, write to the Free Software Foundation, Inc.,
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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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#include <Grid/Grid.h>
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#include <Grid/algorithms/iterative/PrecGeneralisedConjugateResidual.h>
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#include <Grid/algorithms/iterative/PrecGeneralisedConjugateResidualNonHermitian.h>
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#include <Grid/algorithms/iterative/BiCGSTAB.h>
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using namespace std;
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using namespace Grid;
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// TODO
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//
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// Coarse Grid axpby_ssp_pminus // Inherit from spProj5pm
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// Coarse Grid axpby_ssp_pplus
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template<class Field,class Coeff_t>
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class CayleyBase : public SparseMatrixBase<Field>
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{
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public:
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int Ls;
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// protected:
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RealD mass;
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RealD M5;
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// Save arguments to SetCoefficientsInternal
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Vector<Coeff_t> _gamma;
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RealD _zolo_hi;
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RealD _b;
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RealD _c;
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// Cayley form Moebius (tanh and zolotarev)
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Vector<Coeff_t> omega;
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Vector<Coeff_t> bs; // S dependent coeffs
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Vector<Coeff_t> cs;
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Vector<Coeff_t> as;
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// For preconditioning Cayley form
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Vector<Coeff_t> bee;
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Vector<Coeff_t> cee;
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Vector<Coeff_t> aee;
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Vector<Coeff_t> beo;
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Vector<Coeff_t> ceo;
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Vector<Coeff_t> aeo;
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// LDU factorisation of the eeoo matrix
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Vector<Coeff_t> lee;
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Vector<Coeff_t> leem;
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Vector<Coeff_t> uee;
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Vector<Coeff_t> ueem;
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Vector<Coeff_t> dee;
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public:
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CayleyBase(RealD _M5, RealD _mass, int _Ls, RealD b_, RealD c_) :
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M5(_M5),
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mass(_mass),
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Ls(_Ls),
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_b(b_),
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_c(c_)
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{
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RealD eps = 1.0;
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Approx::zolotarev_data *zdata = Approx::higham(eps,this->Ls);// eps is ignored for higham
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this->SetCoefficientsTanh(zdata,1.0,0.0);
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Approx::zolotarev_free(zdata);
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}
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/////////////////////////////////////////////////////////
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// Replicates functionality
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// Use a common base class approach
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/////////////////////////////////////////////////////////
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// Tanh
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void SetCoefficientsTanh(Approx::zolotarev_data *zdata,RealD b,RealD c)
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{
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Vector<Coeff_t> gamma(this->Ls);
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for(int s=0;s<this->Ls;s++) gamma[s] = zdata->gamma[s];
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SetCoefficientsInternal(1.0,gamma,b,c);
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}
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//Zolo
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void SetCoefficientsZolotarev(RealD zolo_hi,Approx::zolotarev_data *zdata,RealD b,RealD c)
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{
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Vector<Coeff_t> gamma(this->Ls);
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for(int s=0;s<this->Ls;s++) gamma[s] = zdata->gamma[s];
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SetCoefficientsInternal(zolo_hi,gamma,b,c);
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}
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//Zolo
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void SetCoefficientsInternal(RealD zolo_hi,Vector<Coeff_t> & gamma,RealD b,RealD c)
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{
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int Ls=this->Ls;
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///////////////////////////////////////////////////////////
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// The Cayley coeffs (unprec)
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///////////////////////////////////////////////////////////
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assert(gamma.size()==Ls);
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omega.resize(Ls);
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bs.resize(Ls);
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cs.resize(Ls);
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as.resize(Ls);
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double bpc = b+c;
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double bmc = b-c;
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_b = b;
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_c = c;
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_gamma = gamma; // Save the parameters so we can change mass later.
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_zolo_hi= zolo_hi;
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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] = _gamma[i]*_zolo_hi; //NB reciprocal relative to Chroma NEF code
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assert(omega[i]!=Coeff_t(0.0));
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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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////////////////////////////////////////////////////////
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// Constants for the preconditioned matrix Cayley form
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////////////////////////////////////////////////////////
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bee.resize(Ls);
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cee.resize(Ls);
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beo.resize(Ls);
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ceo.resize(Ls);
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for(int i=0;i<Ls;i++){
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bee[i]=as[i]*(bs[i]*(4.0-this->M5) +1.0);
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assert(bee[i]!=Coeff_t(0.0));
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cee[i]=as[i]*(1.0-cs[i]*(4.0-this->M5));
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beo[i]=as[i]*bs[i];
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ceo[i]=-as[i]*cs[i];
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}
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aee.resize(Ls);
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aeo.resize(Ls);
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for(int i=0;i<Ls;i++){
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aee[i]=cee[i];
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aeo[i]=ceo[i];
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}
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//////////////////////////////////////////
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// LDU decomposition of eeoo
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//////////////////////////////////////////
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dee.resize(Ls);
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lee.resize(Ls);
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leem.resize(Ls);
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uee.resize(Ls);
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ueem.resize(Ls);
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for(int i=0;i<Ls;i++){
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dee[i] = bee[i];
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if ( i < Ls-1 ) {
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assert(bee[i]!=Coeff_t(0.0));
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assert(bee[0]!=Coeff_t(0.0));
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lee[i] =-cee[i+1]/bee[i]; // sub-diag entry on the ith column
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leem[i]=mass*cee[Ls-1]/bee[0];
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for(int j=0;j<i;j++) {
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assert(bee[j+1]!=Coeff_t(0.0));
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leem[i]*= aee[j]/bee[j+1];
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}
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uee[i] =-aee[i]/bee[i]; // up-diag entry on the ith row
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ueem[i]=mass;
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for(int j=1;j<=i;j++) ueem[i]*= cee[j]/bee[j];
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ueem[i]*= aee[0]/bee[0];
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} else {
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lee[i] =0.0;
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leem[i]=0.0;
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uee[i] =0.0;
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ueem[i]=0.0;
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}
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}
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{
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Coeff_t delta_d=mass*cee[Ls-1];
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for(int j=0;j<Ls-1;j++) {
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assert(bee[j] != Coeff_t(0.0));
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delta_d *= cee[j]/bee[j];
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}
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dee[Ls-1] += delta_d;
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}
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};
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//////////////////////////////
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// M and Mdag
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//////////////////////////////
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virtual void Mdiag (const Field &in, Field &out) {}
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virtual void Mdir (const Field &in, Field &out,int dir, int disp){};
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virtual void MdirAll (const Field &in, std::vector<Field> &out){};
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virtual void DW (const Field &psi, Field &chi)=0;
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virtual void DWDag (const Field &psi, Field &chi)=0;
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void M (const Field &psi, Field &chi)
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{
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Field Din(psi.Grid());
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Meooe5D(psi,Din);
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DW(Din,chi);
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axpby(chi,1.0,1.0,chi,psi);
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M5D(psi,chi);
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}
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void Mdag (const Field &psi, Field &chi)
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{
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Field Din(psi.Grid());
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DWDag(psi,Din);
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MeooeDag5D(Din,chi);
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M5Ddag(psi,chi);
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axpby (chi,1.0,1.0,chi,psi);
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}
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/////////////////////////////////
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// P and Pdag - might be needed
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/////////////////////////////////
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void P(const Field &psi, Field &chi)
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{
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int Ls= this->Ls;
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chi=Zero();
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for(int s=0;s<Ls;s++){
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axpby_ssp_pminus(chi,1.0,chi,1.0,psi,s,s);
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axpby_ssp_pplus (chi,1.0,chi,1.0,psi,s,(s+1)%Ls);
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}
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}
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void Pdag(const Field &psi, Field &chi)
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{
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int Ls= this->Ls;
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chi=Zero();
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for(int s=0;s<Ls;s++){
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axpby_ssp_pminus(chi,1.0,chi,1.0,psi,s,s);
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axpby_ssp_pplus (chi,1.0,chi,1.0,psi,s,(s-1+Ls)%Ls);
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}
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}
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////////////////////////////////////////////////////////
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// Depends: Dw, M5D, M5Ddag, Meooe5D, MeooeDag5D,
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////////////////////////////////////////////////////////
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void M5D (const Field &psi, Field &chi)
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{
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int Ls=this->Ls;
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Vector<Coeff_t> diag (Ls,1.0);
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Vector<Coeff_t> upper(Ls,-1.0); upper[Ls-1]=mass;
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Vector<Coeff_t> lower(Ls,-1.0); lower[0] =mass;
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M5D(psi,chi,chi,lower,diag,upper);
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}
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void M5Ddag (const Field &psi, Field &chi)
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{
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int Ls=this->Ls;
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Vector<Coeff_t> diag(Ls,1.0);
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Vector<Coeff_t> upper(Ls,-1.0);
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Vector<Coeff_t> lower(Ls,-1.0);
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upper[Ls-1]=-mass*upper[Ls-1];
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lower[0] =-mass*lower[0];
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M5Ddag(psi,chi,chi,lower,diag,upper);
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}
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void Meooe5D (const Field &psi, Field &Din)
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{
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int Ls=this->Ls;
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Vector<Coeff_t> diag = bs;
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Vector<Coeff_t> upper= cs;
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Vector<Coeff_t> lower= cs;
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upper[Ls-1]=-mass*upper[Ls-1];
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lower[0] =-mass*lower[0];
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M5D(psi,psi,Din,lower,diag,upper);
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}
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void MeooeDag5D (const Field &psi, Field &Din)
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{
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int Ls=this->Ls;
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Vector<Coeff_t> diag =bs;
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Vector<Coeff_t> upper=cs;
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Vector<Coeff_t> lower=cs;
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for (int s=0;s<Ls;s++){
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if ( s== 0 ) {
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upper[s] = cs[s+1];
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lower[s] =-mass*cs[Ls-1];
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} else if ( s==(Ls-1) ) {
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upper[s] =-mass*cs[0];
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lower[s] = cs[s-1];
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} else {
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upper[s] = cs[s+1];
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lower[s] = cs[s-1];
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}
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upper[s] = conjugate(upper[s]);
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lower[s] = conjugate(lower[s]);
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diag[s] = conjugate(diag[s]);
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}
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M5Ddag(psi,psi,Din,lower,diag,upper);
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}
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void M5D(const Field &psi_i,
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const Field &phi_i,
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Field &chi_i,
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Vector<Coeff_t> &lower,
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Vector<Coeff_t> &diag,
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Vector<Coeff_t> &upper)
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{
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chi_i.Checkerboard()=psi_i.Checkerboard();
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GridBase *grid=psi_i.Grid();
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autoView(psi , psi_i,AcceleratorRead);
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autoView(phi , phi_i,AcceleratorRead);
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autoView(chi , chi_i,AcceleratorWrite);
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assert(phi.Checkerboard() == psi.Checkerboard());
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auto pdiag = &diag[0];
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auto pupper = &upper[0];
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auto plower = &lower[0];
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int Ls =this->Ls;
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// 10 = 3 complex mult + 2 complex add
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// Flops = 10.0*(Nc*Ns) *Ls*vol (/2 for red black counting)
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uint64_t nloop = grid->oSites()/Ls;
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const int Nsimd = Field::vector_type::Nsimd();
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accelerator_for(sss,nloop,Nsimd,{
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uint64_t ss= sss*Ls;
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typedef decltype(coalescedRead(psi[0])) spinor;
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spinor tmp1, tmp2;
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for(int s=0;s<Ls;s++){
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uint64_t idx_u = ss+((s+1)%Ls);
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uint64_t idx_l = ss+((s+Ls-1)%Ls);
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spProj5m(tmp1,psi(idx_u)); // Need routines for this
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spProj5p(tmp2,psi(idx_l));
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coalescedWrite(chi[ss+s],pdiag[s]*phi(ss+s)+pupper[s]*tmp1+plower[s]*tmp2);
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}
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});
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}
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void M5Ddag(const Field &psi_i,
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const Field &phi_i,
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Field &chi_i,
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Vector<Coeff_t> &lower,
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Vector<Coeff_t> &diag,
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Vector<Coeff_t> &upper)
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{
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chi_i.Checkerboard()=psi_i.Checkerboard();
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GridBase *grid=psi_i.Grid();
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autoView(psi , psi_i,AcceleratorRead);
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autoView(phi , phi_i,AcceleratorRead);
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autoView(chi , chi_i,AcceleratorWrite);
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assert(phi.Checkerboard() == psi.Checkerboard());
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auto pdiag = &diag[0];
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auto pupper = &upper[0];
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auto plower = &lower[0];
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int Ls=this->Ls;
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uint64_t nloop = grid->oSites()/Ls;
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const int Nsimd = Field::vector_type::Nsimd();
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accelerator_for(sss,nloop,Nsimd,{
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uint64_t ss=sss*Ls;
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typedef decltype(coalescedRead(psi[0])) spinor;
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spinor tmp1,tmp2;
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for(int s=0;s<Ls;s++){
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uint64_t idx_u = ss+((s+1)%Ls);
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uint64_t idx_l = ss+((s+Ls-1)%Ls);
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spProj5p(tmp1,psi(idx_u));
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spProj5m(tmp2,psi(idx_l));
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coalescedWrite(chi[ss+s],pdiag[s]*phi(ss+s)+pupper[s]*tmp1+plower[s]*tmp2);
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}
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});
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}
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};
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template<class Fobj,class CComplex,int nbasis>
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class CoarseCayleyFermion : public CayleyBase< Lattice<iVector<CComplex,nbasis > > , ComplexD >
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{
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public:
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typedef iVector<CComplex,nbasis > siteVector;
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typedef Lattice<CComplex > CoarseComplexField;
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typedef Lattice<siteVector> CoarseVector;
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typedef Lattice<iMatrix<CComplex,nbasis > > CoarseMatrix;
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typedef iMatrix<CComplex,nbasis > Cobj;
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typedef Lattice< CComplex > CoarseScalar; // used for inner products on fine field
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typedef Lattice<Fobj > FineField;
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// Similar to the CoarseOperator but add 5D support.
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Geometry geom;
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GridBase *Coarse5D;
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GridBase *Coarse4D;
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CartesianStencil<siteVector,siteVector,int> Stencil;
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CoarsenedMatrix<Fobj,CComplex,nbasis> &Dw;
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Vector<int> NNsv;
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int *NNs;
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GridBase * Grid(void) { return Coarse5D; }; // this is all the linalg routines need to know
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CoarseCayleyFermion(GridCartesian &CoarseGrid4,
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GridCartesian &CoarseGrid5,
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CoarsenedMatrix<Fobj,CComplex,nbasis> &_Dw,
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RealD M5, RealD mass, int Ls, RealD b, RealD c) :
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CayleyBase<CoarseVector,ComplexD>(M5,mass,Ls,b,c),
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Coarse4D(&CoarseGrid4),
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Coarse5D(&CoarseGrid5),
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Dw(_Dw),
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geom(CoarseGrid5._ndimension),
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Stencil( &CoarseGrid5,geom.npoint,Even,geom.directions,geom.displacements,0),
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NNsv(Ls)
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{
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int surface=4;
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NNs =&NNsv[0];
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for(int s=0;s<Ls;s++){
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NNs[s] = nbasis/2;
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}
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for(int s=surface;s<Ls-surface;s++){
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// NNs[s] = 8;
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}
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#define IS_INCLUDED(s,b) ( (b<NNs[s]) || ( (b>=(nbasis/2)) && (b< ((nbasis/2)+NNs[s]) ) ) )
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};
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public:
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void Project( CoarseVector &C )
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{
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const int Nsimd = CComplex::Nsimd();
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autoView(Cv,C, AcceleratorWrite);
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int nb2=nbasis/2;
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int Ls = this->Ls;
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for(int s=0;s<Ls;s++){
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int NN = NNs[s];
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accelerator_for(sU, Coarse4D->oSites(), Nsimd, {
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int sF= sU*Ls+s;
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auto tmp = coalescedRead(Cv[sF]);
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for(int b=NN;b<nb2;b++){
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tmp(b)=Zero();
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tmp(nb2+b)=Zero();
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}
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coalescedWrite(Cv[sF],tmp);
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});
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}
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}
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////////////////////////////////////////////////
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// This is specific to Coarse Grid Cayley
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////////////////////////////////////////////////
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void DW (const CoarseVector &in, CoarseVector &out)
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{
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conformable(Coarse5D,in.Grid());
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conformable(in.Grid(),out.Grid());
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SimpleCompressor<siteVector> compressor;
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Stencil.HaloExchange(in,compressor);
|
|
typedef LatticeView<Cobj> Aview;
|
|
|
|
const int Nsimd = CComplex::Nsimd();
|
|
|
|
// Ls loop for2D
|
|
int Ls=this->Ls;
|
|
|
|
Vector<Aview> AcceleratorViewContainer;
|
|
for(int p=0;p<geom.npoint;p++) AcceleratorViewContainer.push_back(Dw.A[p].View(AcceleratorRead));
|
|
Aview *Aview_p = & AcceleratorViewContainer[0];
|
|
autoView(in_v , in, AcceleratorRead);
|
|
autoView(out_v, out, AcceleratorWrite);
|
|
autoView(st, Stencil, AcceleratorRead);
|
|
siteVector *CBp=Stencil.CommBuf();
|
|
|
|
int ptype;
|
|
int nb2=nbasis/2;
|
|
accelerator_for2d(sF, Coarse5D->oSites(), b, nbasis, Nsimd, {
|
|
|
|
typedef decltype(coalescedRead(in_v[0])) calcVector;
|
|
typedef decltype(coalescedRead(in_v[0](0))) calcComplex;
|
|
int sU = sF/Ls;
|
|
int s = sF%Ls;
|
|
|
|
calcComplex res = Zero();
|
|
|
|
if ( IS_INCLUDED(s,b) )
|
|
{
|
|
calcVector nbr;
|
|
int ptype;
|
|
|
|
for(int point=0;point<geom.npoint;point++){
|
|
|
|
StencilEntry *SE=st.GetEntry(ptype,point,sF);
|
|
|
|
if(SE->_is_local) {
|
|
nbr = coalescedReadPermute(in_v[SE->_offset],ptype,SE->_permute);
|
|
} else {
|
|
nbr = coalescedRead(CBp[SE->_offset]);
|
|
}
|
|
acceleratorSynchronise();
|
|
|
|
for(int bb=0;bb<NNs[s];bb++) {
|
|
res = res + coalescedRead(Aview_p[point][sU](b,bb))*nbr(bb);
|
|
res = res + coalescedRead(Aview_p[point][sU](b,bb+nb2))*nbr(bb+nb2);
|
|
}
|
|
}
|
|
}
|
|
coalescedWrite(out_v[sF](b),res);
|
|
});
|
|
|
|
for(int p=0;p<geom.npoint;p++) AcceleratorViewContainer[p].ViewClose();
|
|
};
|
|
|
|
void DWDag (const CoarseVector &in, CoarseVector &out)
|
|
{
|
|
// Inefficient G5 hermitian use
|
|
CoarseVector tmp(Grid());
|
|
G5C(tmp, in); //There has to be a better way
|
|
DW(tmp, out);
|
|
G5C(out, out);
|
|
};
|
|
|
|
typedef Aggregation<Fobj,CComplex,nbasis> Aggregates;
|
|
|
|
void PromoteFromSubspace(Aggregates &_Aggregates,CoarseVector &C,FineField &F)
|
|
{
|
|
auto FineGrid4 = _Aggregates.FineGrid;
|
|
FineField F4(FineGrid4);
|
|
CoarseVector C4(Coarse4D);
|
|
for(int s=0;s<this->Ls;s++){
|
|
ExtractSlice(C4,C,s,0);
|
|
_Aggregates.PromoteFromSubspace(C4,F4);
|
|
InsertSlice(F4,F,s,0);
|
|
}
|
|
}
|
|
void ProjectToSubspace(Aggregates &_Aggregates,CoarseVector &C,FineField &F)
|
|
{
|
|
auto FineGrid4 = _Aggregates.FineGrid;
|
|
FineField F4(FineGrid4);
|
|
CoarseVector C4(Coarse4D);
|
|
for(int s=0;s<this->Ls;s++){
|
|
ExtractSlice(F4,F,s,0);
|
|
_Aggregates.ProjectToSubspace (C4,F4);
|
|
InsertSlice(C4,C,s,0);
|
|
}
|
|
Project(C);
|
|
}
|
|
template<class Ddwf>
|
|
void Test(Aggregates &_Aggregates,GridBase *FineGrid, Ddwf &_Ddwf)
|
|
{
|
|
typedef Lattice<Fobj> FineField;
|
|
CoarseVector Cin(Coarse5D);
|
|
CoarseVector Cout(Coarse5D);
|
|
CoarseVector CFout(Coarse5D);
|
|
|
|
FineField Fin(FineGrid);
|
|
FineField Fout(FineGrid);
|
|
|
|
|
|
std::vector<int> seeds({1,2,3,4,5});
|
|
GridParallelRNG RNG(Coarse5D); RNG.SeedFixedIntegers(seeds);
|
|
|
|
gaussian(RNG,Cin);
|
|
PromoteFromSubspace(_Aggregates,Cin,Fin);
|
|
ProjectToSubspace(_Aggregates,Cin,Fin);
|
|
|
|
std::cout << "************ "<<std::endl;
|
|
std::cout << " Testing M "<<std::endl;
|
|
std::cout << "************ "<<std::endl;
|
|
// Coarse operator
|
|
this->M(Cin,Cout);
|
|
this->Project(Cout);
|
|
std::cout << " Cout "<<norm2(Cout)<<std::endl;
|
|
|
|
// Fine projected operator
|
|
PromoteFromSubspace(_Aggregates,Cin,Fin);
|
|
_Ddwf.M(Fin,Fout);
|
|
ProjectToSubspace(_Aggregates,CFout,Fout);
|
|
std::cout << " CFout "<<norm2(CFout)<<std::endl;
|
|
CFout = CFout-Cout;
|
|
std::cout << " diff "<<norm2(CFout)<<std::endl;
|
|
|
|
std::cout << "************ "<<std::endl;
|
|
std::cout << " Testing Mdag "<<std::endl;
|
|
std::cout << "************ "<<std::endl;
|
|
// Coarse operator
|
|
this->Mdag(Cin,Cout);
|
|
this->Project(Cout);
|
|
std::cout << " Cout "<<norm2(Cout)<<std::endl;
|
|
|
|
// Fine operator
|
|
_Ddwf.Mdag(Fin,Fout);
|
|
ProjectToSubspace(_Aggregates,CFout,Fout);
|
|
std::cout << " CFout "<<norm2(CFout)<<std::endl;
|
|
CFout = CFout-Cout;
|
|
std::cout << " diff "<<norm2(CFout)<<std::endl;
|
|
|
|
}
|
|
};
|
|
|
|
|
|
|
|
|
|
template<class Field> class SolverWrapper : public LinearFunction<Field> {
|
|
private:
|
|
LinearOperatorBase<Field> & _Matrix;
|
|
OperatorFunction<Field> & _Solver;
|
|
LinearFunction<Field> & _Guess;
|
|
public:
|
|
|
|
/////////////////////////////////////////////////////
|
|
// Wrap the usual normal equations trick
|
|
/////////////////////////////////////////////////////
|
|
SolverWrapper(LinearOperatorBase<Field> &Matrix,
|
|
OperatorFunction<Field> &Solver,
|
|
LinearFunction<Field> &Guess)
|
|
: _Matrix(Matrix), _Solver(Solver), _Guess(Guess) {};
|
|
|
|
void operator() (const Field &in, Field &out){
|
|
|
|
_Guess(in,out);
|
|
_Solver(_Matrix,in,out); // Mdag M out = Mdag in
|
|
|
|
}
|
|
};
|
|
|
|
// Must use a non-hermitian solver
|
|
template<class Matrix,class Field>
|
|
class PVdagMLinearOperator : public LinearOperatorBase<Field> {
|
|
Matrix &_Mat;
|
|
Matrix &_PV;
|
|
public:
|
|
PVdagMLinearOperator(Matrix &Mat,Matrix &PV): _Mat(Mat),_PV(PV){};
|
|
|
|
void OpDiag (const Field &in, Field &out) {
|
|
assert(0);
|
|
}
|
|
void OpDir (const Field &in, Field &out,int dir,int disp) {
|
|
assert(0);
|
|
}
|
|
void OpDirAll (const Field &in, std::vector<Field> &out){
|
|
assert(0);
|
|
};
|
|
void Op (const Field &in, Field &out){
|
|
Field tmp(in.Grid());
|
|
_Mat.M(in,tmp);
|
|
_PV.Mdag(tmp,out);
|
|
}
|
|
void AdjOp (const Field &in, Field &out){
|
|
Field tmp(in.Grid());
|
|
_PV.M(tmp,out);
|
|
_Mat.Mdag(in,tmp);
|
|
}
|
|
void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2){
|
|
assert(0);
|
|
}
|
|
void HermOp(const Field &in, Field &out){
|
|
assert(0);
|
|
}
|
|
};
|
|
|
|
RealD InverseApproximation(RealD x){
|
|
return 1.0/x;
|
|
}
|
|
|
|
template<class Field,class Matrix> class ChebyshevSmoother : public LinearFunction<Field>
|
|
{
|
|
public:
|
|
typedef LinearOperatorBase<Field> FineOperator;
|
|
Matrix & _SmootherMatrix;
|
|
FineOperator & _SmootherOperator;
|
|
|
|
Chebyshev<Field> Cheby;
|
|
|
|
ChebyshevSmoother(RealD _lo,RealD _hi,int _ord, FineOperator &SmootherOperator,Matrix &SmootherMatrix) :
|
|
_SmootherOperator(SmootherOperator),
|
|
_SmootherMatrix(SmootherMatrix),
|
|
Cheby(_lo,_hi,_ord,InverseApproximation)
|
|
{};
|
|
|
|
void operator() (const Field &in, Field &out)
|
|
{
|
|
Field tmp(in.Grid());
|
|
MdagMLinearOperator<Matrix,Field> MdagMOp(_SmootherMatrix);
|
|
_SmootherOperator.AdjOp(in,tmp);
|
|
Cheby(MdagMOp,tmp,out);
|
|
}
|
|
};
|
|
template<class Fobj,class CComplex,int nbasis, class CoarseSolver>
|
|
class MGPreconditioner : public LinearFunction< Lattice<Fobj> > {
|
|
public:
|
|
|
|
typedef Aggregation<Fobj,CComplex,nbasis> Aggregates;
|
|
typedef CoarseCayleyFermion<Fobj,CComplex,nbasis> CoarseOperator;
|
|
typedef typename Aggregation<Fobj,CComplex,nbasis>::CoarseVector CoarseVector;
|
|
typedef typename Aggregation<Fobj,CComplex,nbasis>::CoarseMatrix CoarseMatrix;
|
|
typedef typename Aggregation<Fobj,CComplex,nbasis>::FineField FineField;
|
|
typedef LinearOperatorBase<FineField> FineOperator;
|
|
typedef LinearFunction <FineField> FineSmoother;
|
|
|
|
Aggregates & _Aggregates;
|
|
FineOperator & _FineOperator;
|
|
FineSmoother & _PreSmoother;
|
|
FineSmoother & _PostSmoother;
|
|
CoarseOperator & _CoarseOperator;
|
|
CoarseSolver & _CoarseSolve;
|
|
|
|
int level; void Level(int lv) {level = lv; };
|
|
|
|
MGPreconditioner(Aggregates &Agg,
|
|
FineOperator &Fine,
|
|
FineSmoother &PreSmoother,
|
|
FineSmoother &PostSmoother,
|
|
CoarseOperator &CoarseOperator_,
|
|
CoarseSolver &CoarseSolve_)
|
|
: _Aggregates(Agg),
|
|
_FineOperator(Fine),
|
|
_PreSmoother(PreSmoother),
|
|
_PostSmoother(PostSmoother),
|
|
_CoarseOperator(CoarseOperator_),
|
|
_CoarseSolve(CoarseSolve_),
|
|
level(1) { }
|
|
|
|
virtual void operator()(const FineField &in, FineField & out)
|
|
{
|
|
auto CoarseGrid = _CoarseOperator.Grid();
|
|
CoarseVector Csrc(CoarseGrid);
|
|
CoarseVector Csol(CoarseGrid);
|
|
FineField vec1(in.Grid());
|
|
FineField vec2(in.Grid());
|
|
|
|
double t;
|
|
// Fine Smoother
|
|
t=-usecond();
|
|
_PreSmoother(in,out);
|
|
t+=usecond();
|
|
|
|
std::cout<<GridLogMessage << "PreSmoother took "<< t/1000.0<< "ms" <<std::endl;
|
|
|
|
// Update the residual
|
|
_FineOperator.Op(out,vec1); sub(vec1, in ,vec1);
|
|
|
|
// Fine to Coarse
|
|
t=-usecond();
|
|
_CoarseOperator.ProjectToSubspace(_Aggregates,Csrc,vec1);
|
|
// _Aggregates.ProjectToSubspace (Csrc,vec1);
|
|
t+=usecond();
|
|
std::cout<<GridLogMessage << "Project to coarse took "<< t/1000.0<< "ms" <<std::endl;
|
|
|
|
// Coarse correction
|
|
t=-usecond();
|
|
_CoarseSolve(Csrc,Csol);
|
|
t+=usecond();
|
|
std::cout<<GridLogMessage << "Coarse solve took "<< t/1000.0<< "ms" <<std::endl;
|
|
|
|
// Coarse to Fine
|
|
t=-usecond();
|
|
_CoarseOperator.PromoteFromSubspace(_Aggregates,Csol,vec1);
|
|
// _Aggregates.PromoteFromSubspace(Csol,vec1);
|
|
add(out,out,vec1);
|
|
t+=usecond();
|
|
std::cout<<GridLogMessage << "Promote to this level took "<< t/1000.0<< "ms" <<std::endl;
|
|
|
|
// Residual
|
|
_FineOperator.Op(out,vec1); sub(vec1 ,in , vec1);
|
|
|
|
// Fine Smoother
|
|
t=-usecond();
|
|
_PostSmoother(vec1,vec2);
|
|
t+=usecond();
|
|
std::cout<<GridLogMessage << "PostSmoother took "<< t/1000.0<< "ms" <<std::endl;
|
|
|
|
add( out,out,vec2);
|
|
}
|
|
};
|
|
|
|
|
|
int main (int argc, char ** argv)
|
|
{
|
|
Grid_init(&argc,&argv);
|
|
|
|
const int Ls=16;
|
|
|
|
GridCartesian * UGrid = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplex::Nsimd()),GridDefaultMpi());
|
|
GridRedBlackCartesian * UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
|
|
|
|
GridCartesian * FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls,UGrid);
|
|
GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGrid);
|
|
|
|
///////////////////////////////////////////////////
|
|
// Construct a coarsened grid; utility for this?
|
|
///////////////////////////////////////////////////
|
|
std::vector<int> block ({2,2,2,2});
|
|
const int nbasis= 24;
|
|
|
|
auto clatt = GridDefaultLatt();
|
|
for(int d=0;d<clatt.size();d++){
|
|
clatt[d] = clatt[d]/block[d];
|
|
}
|
|
|
|
GridCartesian *Coarse4d = SpaceTimeGrid::makeFourDimGrid(clatt, GridDefaultSimd(Nd,vComplex::Nsimd()),GridDefaultMpi());;
|
|
GridCartesian *Coarse5d = SpaceTimeGrid::makeFiveDimGrid(Ls,Coarse4d);
|
|
|
|
std::vector<int> seeds({1,2,3,4});
|
|
GridParallelRNG RNG5(FGrid); RNG5.SeedFixedIntegers(seeds);
|
|
GridParallelRNG RNG4(UGrid); RNG4.SeedFixedIntegers(seeds);
|
|
GridParallelRNG CRNG(Coarse5d);CRNG.SeedFixedIntegers(seeds);
|
|
|
|
LatticeGaugeField Umu(UGrid);
|
|
|
|
#if 0
|
|
SU3::TepidConfiguration(RNG4,Umu);
|
|
#else
|
|
FieldMetaData header;
|
|
std::string file("./ckpoint_lat.4000");
|
|
NerscIO::readConfiguration(Umu,header,file);
|
|
#endif
|
|
|
|
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
|
std::cout<<GridLogMessage << "Building g5R5 hermitian DWF operator" <<std::endl;
|
|
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
|
|
|
RealD mass=0.001;
|
|
RealD M5=1.8;
|
|
|
|
WilsonFermionR Dw(Umu,*UGrid,*UrbGrid,-M5);
|
|
DomainWallFermionR Ddwf(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5);
|
|
DomainWallFermionR Dpv (Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,1.0,M5);
|
|
|
|
typedef Aggregation<vSpinColourVector,vTComplex,nbasis> Subspace;
|
|
typedef CoarsenedMatrix<vSpinColourVector,vTComplex,nbasis> CoarseOperator;
|
|
typedef CoarseOperator::CoarseVector CoarseVector;
|
|
typedef CoarseOperator::siteVector siteVector;
|
|
|
|
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
|
std::cout<<GridLogMessage << "Calling Aggregation class to build subspace" <<std::endl;
|
|
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
|
// How to find criticall mass?
|
|
// WilsonFermionR Dw_null(Umu,*UGrid,*UrbGrid,-0.75); // 600 iters
|
|
// WilsonFermionR Dw_null(Umu,*UGrid,*UrbGrid,-0.80); // 800 iters
|
|
// WilsonFermionR Dw_null(Umu,*UGrid,*UrbGrid,-0.82); // 1023 iters
|
|
// WilsonFermionR Dw_null(Umu,*UGrid,*UrbGrid,-0.85); // 1428 iters
|
|
// WilsonFermionR Dw_null(Umu,*UGrid,*UrbGrid,-0.87); // 1900 iters
|
|
// WilsonFermionR Dw_null(Umu,*UGrid,*UrbGrid,-0.90); // 3900 iters
|
|
// WilsonFermionR Dw_null(Umu,*UGrid,*UrbGrid,-0.92); // 6200 iters
|
|
// WilsonFermionR Dw_null(Umu,*UGrid,*UrbGrid,-0.94); // 8882 iters
|
|
WilsonFermionR Dw_null(Umu,*UGrid,*UrbGrid,-0.95); // 9170 iters
|
|
// WilsonFermionR Dw_null(Umu,*UGrid,*UrbGrid,-0.96); // 8882 iters
|
|
// WilsonFermionR Dw_null(Umu,*UGrid,*UrbGrid,-0.97); // 8406 iters
|
|
// WilsonFermionR Dw_null(Umu,*UGrid,*UrbGrid,-0.99); // 6900 iters
|
|
// WilsonFermionR Dw_null(Umu,*UGrid,*UrbGrid,-1.01); // 6397 iters
|
|
// WilsonFermionR Dw_null(Umu,*UGrid,*UrbGrid,-1.00); // 5900 iters
|
|
MdagMLinearOperator<WilsonFermionR,LatticeFermion> MdagM_Dw(Dw_null);
|
|
|
|
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
|
std::cout<<GridLogMessage << "Testing Wilson criticality " <<std::endl;
|
|
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
|
/*
|
|
ConjugateGradient<LatticeFermion> WilsonCG(1.0e-10,40000);
|
|
LatticeFermion w_src(UGrid); w_src=1.0;
|
|
LatticeFermion w_res(UGrid);
|
|
WilsonCG(MdagM_Dw,w_src,w_res);
|
|
exit(0);
|
|
*/
|
|
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
|
std::cout<<GridLogMessage << " 4D subspace build " <<std::endl;
|
|
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
|
Subspace Aggregates4D(Coarse4d,UGrid,0);
|
|
assert ( (nbasis & 0x1)==0);
|
|
int nb=nbasis/2;
|
|
Gamma g5(Gamma::Algebra::Gamma5);
|
|
|
|
Aggregates4D.CreateSubspaceChebyshev(RNG4,MdagM_Dw,nb,60.0,4.0,600,250,250,0.0); //35
|
|
// Aggregates4D.CreateSubspaceChebyshev(RNG4,MdagM_Dw,nb,60.0,4.0,600,100,250,0.0); //39
|
|
// Aggregates4D.CreateSubspaceChebyshev(RNG4,MdagM_Dw,nb,60.0,4.0,600,250,100,0.0); //39
|
|
// Aggregates4D.CreateSubspaceChebyshev(RNG4,MdagM_Dw,nb,60.0,4.0,600,100,100,0.0); //36
|
|
// Aggregates4D.CreateSubspaceChebyshev(RNG4,MdagM_Dw,nb,60.0,4.0,600,250,100,0.0); //39
|
|
// Aggregates4D.CreateSubspaceChebyshev(RNG4,MdagM_Dw,nb,60.0,4.0,600,250,50,0.0);// 39
|
|
// Aggregates4D.CreateSubspaceChebyshev(RNG4,MdagM_Dw,nb,60.0,4.0,600,250,250,0.0);// 35
|
|
// Aggregates4D.CreateSubspaceChebyshev(RNG4,MdagM_Dw,nb,60.0,4.0,250,250,250,0.0);// 38 iter
|
|
// Aggregates4D.CreateSubspaceChebyshev(RNG4,MdagM_Dw,nb,50.0,4.0,250,250,100,0.0);// 40 iter
|
|
// Aggregates4D.CreateSubspaceChebyshev(RNG4,MdagM_Dw,nb,50.0,4.0,500,100,100,0.0);// 38 iter
|
|
// Aggregates4D.CreateSubspaceChebyshev(RNG4,MdagM_Dw,nb,60.0,4.0,500,100,100,0.0);// 36 iter
|
|
// Aggregates4D.CreateSubspaceChebyshev(RNG4,MdagM_Dw,nb,60.0,3.0,500,100,100,0.0);// 37 iter
|
|
// Aggregates4D.CreateSubspaceChebyshev(RNG4,MdagM_Dw,nb,60.0,1.0,1000,400,400,0.0);// 38 iter
|
|
// Aggregates4D.CreateSubspaceChebyshev(RNG4,MdagM_Dw,nb,60.0,0.5,1000,400,400,0.0);// 39 iter HDCR smooth 14
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// Aggregates4D.CreateSubspaceChebyshev(RNG4,MdagM_Dw,nb,60.0,0.1,1000,400,400,0.0);// 41
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for(int n=0;n<nb;n++){
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Aggregates4D.subspace[nbasis-1-n]= Aggregates4D.subspace[n] - g5 * Aggregates4D.subspace[n];
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Aggregates4D.subspace[n] = Aggregates4D.subspace[n] + g5 * Aggregates4D.subspace[n];
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}
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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std::cout<<GridLogMessage << " Coarsen the operator " <<std::endl;
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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typedef CoarsenedMatrix<vSpinColourVector,vTComplex,nbasis> Level1Op4;
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typedef CoarseCayleyFermion<vSpinColourVector,vTComplex,nbasis> Level1Op5;
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Level1Op4 c_Dw (*Coarse4d,0);
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std::cout<<GridLogMessage << " Coarsening Hw / Dw operator " <<std::endl;
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NonHermitianLinearOperator<WilsonFermionR,LatticeFermion> LinOpDw(Dw);
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std::cout<<GridLogMessage << " Coarsening Hw linop " <<std::endl;
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c_Dw.CoarsenOperator(UGrid,LinOpDw,Aggregates4D);
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std::cout<<GridLogMessage << " Coarsened Hw / Dw operator " <<std::endl;
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Level1Op5 c_Dwf (*Coarse4d,*Coarse5d,c_Dw,M5, mass, Ls, 1.0,0.0);
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Level1Op5 c_Dpv (*Coarse4d,*Coarse5d,c_Dw,M5, 1.0, Ls, 1.0,0.0);
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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std::cout<<GridLogMessage << "Test Operator "<< std::endl;
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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c_Dwf.Test(Aggregates4D,FGrid,Ddwf);
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c_Dpv.Test(Aggregates4D,FGrid,Dpv);
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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std::cout<<GridLogMessage << " Testing fine and coarse solvers " <<std::endl;
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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RealD tol=1.0e-8;
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int MaxIt = 10000;
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CoarseVector c_src(Coarse5d); c_src=1.0;
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CoarseVector c_res(Coarse5d);
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LatticeFermion f_src(FGrid); f_src=1.0;
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LatticeFermion f_res(FGrid);
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LatticeFermion f_src_e(FrbGrid); f_src_e=1.0;
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LatticeFermion f_res_e(FrbGrid);
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BiCGSTAB<CoarseVector> CoarseBiCGSTAB(tol,MaxIt);
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ConjugateGradient<CoarseVector> CoarseCG(tol,MaxIt);
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BiCGSTAB<LatticeFermion> FineBiCGSTAB(tol,MaxIt);
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ConjugateGradient<LatticeFermion> FineCG(tol,MaxIt);
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NonHermitianLinearOperator<DomainWallFermionR,LatticeFermion> FineM(Ddwf);
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MdagMLinearOperator<DomainWallFermionR,LatticeFermion> FineMdagM(Ddwf); // M^\dag M
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PVdagMLinearOperator<DomainWallFermionR,LatticeFermion> FinePVdagM(Ddwf,Dpv);// M_{pv}^\dag M
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SchurDiagMooeeOperator<DomainWallFermionR,LatticeFermion> FineDiagMooee(Ddwf); // M_ee - Meo Moo^-1 Moe
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SchurDiagOneOperator<DomainWallFermionR,LatticeFermion> FineDiagOne(Ddwf); // 1 - M_ee^{-1} Meo Moo^{-1} Moe e
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MdagMLinearOperator<Level1Op5,CoarseVector> CoarseMdagM(c_Dwf);
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PVdagMLinearOperator<Level1Op5,CoarseVector> CoarsePVdagM(c_Dwf,c_Dpv);
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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std::cout<<GridLogMessage << "Fine CG unprec "<< std::endl;
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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/*
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f_res=Zero();
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FineCG(FineMdagM,f_src,f_res);
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*/
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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std::cout<<GridLogMessage << "Fine CG prec DiagMooee "<< std::endl;
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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/*
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// SchurDiagMooeeOperator<DomainWallFermionR,LatticeFermion> FineDiagMooee(Ddwf); // M_ee - Meo Moo^-1 Moe
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f_res_e=Zero();
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FineCG(FineDiagMooee,f_src_e,f_res_e);
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*/
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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std::cout<<GridLogMessage << "Fine CG prec DiagOne "<< std::endl;
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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/*
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f_res_e=Zero();
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FineCG(FineDiagOne,f_src_e,f_res_e);
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*/
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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std::cout<<GridLogMessage << "Fine BiCGSTAB unprec "<< std::endl;
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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/*
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f_res=Zero();
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FineBiCGSTAB(FinePVdagM,f_src,f_res);
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*/
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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std::cout<<GridLogMessage << "Coarse BiCGSTAB "<< std::endl;
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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/*
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c_res=Zero();
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CoarseBiCGSTAB(CoarsePVdagM,c_src,c_res);
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*/
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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std::cout<<GridLogMessage << "Coarse CG unprec "<< std::endl;
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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/*
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c_res=Zero();
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CoarseCG(CoarseMdagM,c_src,c_res);
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*/
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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std::cout<<GridLogMessage << " Fine Hw PowerMethod "<< std::endl;
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LatticeFermion w_src(UGrid);
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w_src=1.0;
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PowerMethod<LatticeFermion> PM; PM(MdagM_Dw,w_src);
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std::cout<<GridLogMessage << " Coarse PowerMethod "<< std::endl;
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c_src=1.0;
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PowerMethod<CoarseVector> cPM; cPM(CoarseMdagM,c_src);
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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std::cout<<GridLogMessage << " Running HDCR "<< std::endl;
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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ZeroGuesser<CoarseVector> CoarseZeroGuesser;
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NormalEquations<CoarseVector> CoarseCGNE (c_Dwf,CoarseCG,CoarseZeroGuesser);
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ConjugateGradient<CoarseVector> CoarseMgridCG(0.001,1000);
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ChebyshevSmoother<LatticeFermion,DomainWallFermionR> FineSmoother(0.5,60.0,14,FineM,Ddwf);
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typedef MGPreconditioner<vSpinColourVector, vTComplex,nbasis, NormalEquations<CoarseVector> > TwoLevelHDCR;
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TwoLevelHDCR TwoLevelPrecon(Aggregates4D,
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FineM,
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FineSmoother,
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FineSmoother,
|
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c_Dwf,
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CoarseCGNE);
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TwoLevelPrecon.Level(1);
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PrecGeneralisedConjugateResidualNonHermitian<LatticeFermion> l1PGCR(1.0e-8,100,FineM,TwoLevelPrecon,16,16);
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l1PGCR.Level(1);
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f_res=Zero();
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CoarseCG.Tolerance=0.02;
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l1PGCR(f_src,f_res);
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Grid_finalize();
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exit(0);
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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std::cout<<GridLogMessage << " Running Multigrid "<< std::endl;
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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|
|
BiCGSTAB<CoarseVector> CoarseMgridBiCGSTAB(0.01,1000,false);
|
|
BiCGSTAB<LatticeFermion> FineMgridPreBiCGSTAB(0.0,24,false);
|
|
BiCGSTAB<LatticeFermion> FineMgridPostBiCGSTAB(0.0,24,false);
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|
ZeroGuesser<LatticeFermion> FineZeroGuesser;
|
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|
|
SolverWrapper<LatticeFermion> FineBiCGPreSmoother( FinePVdagM, FineMgridPreBiCGSTAB, FineZeroGuesser);
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|
SolverWrapper<LatticeFermion> FineBiCGPostSmoother( FinePVdagM, FineMgridPostBiCGSTAB, FineZeroGuesser);
|
|
SolverWrapper<CoarseVector> CoarsePVdagMSolver(CoarsePVdagM,CoarseMgridBiCGSTAB,CoarseZeroGuesser);
|
|
typedef MGPreconditioner<vSpinColourVector, vTComplex,nbasis, SolverWrapper<CoarseVector> > TwoLevelMG;
|
|
|
|
TwoLevelMG _TwoLevelMG(Aggregates4D,
|
|
FinePVdagM,
|
|
FineBiCGPreSmoother,
|
|
FineBiCGPostSmoother,
|
|
c_Dwf,
|
|
CoarsePVdagMSolver);
|
|
_TwoLevelMG.Level(1);
|
|
|
|
PrecGeneralisedConjugateResidualNonHermitian<LatticeFermion> pvPGCR(1.0e-8,100,FinePVdagM,_TwoLevelMG,16,16);
|
|
pvPGCR.Level(1);
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|
|
|
f_res=Zero();
|
|
pvPGCR(f_src,f_res);
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|
|
|
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
|
std::cout<<GridLogMessage << "Done "<< std::endl;
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|
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
|
Grid_finalize();
|
|
|
|
}
|