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Grid/tests/core/Test_ddhmc_matrices.cc
Peter Boyle 69a2c8769a Testing out the DDHMC constituent parts
2021-05-11 13:56:52 -04:00

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/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./tests/Test_ddhmc_matrices.cc
Copyright (C) 2015
Author: Peter Boyle <paboyle@ph.ed.ac.uk>
Author: paboyle <paboyle@ph.ed.ac.uk>
This program is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License along
with this program; if not, write to the Free Software Foundation, Inc.,
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
See the full license in the file "LICENSE" in the top level distribution directory
*************************************************************************************/
/* END LEGAL */
#include <Grid/Grid.h>
#include <Grid/qcd/action/momentum/DirichletFilter.h>
#include <Grid/qcd/action/fermion/DirichletFermionOperator.h>
#include <Grid/qcd/action/fermion/SchurFactoredFermionOperator.h>
using namespace std;
using namespace Grid;
int main (int argc, char ** argv)
{
Grid_init(&argc,&argv);
int threads = GridThread::GetThreads();
std::cout<<GridLogMessage << "Grid is setup to use "<<threads<<" threads"<<std::endl;
const int Ls=8;
auto latt = GridDefaultLatt();
GridCartesian * UGrid = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplex::Nsimd()),GridDefaultMpi());
GridCartesian * FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls,UGrid);
GridRedBlackCartesian * UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGrid);
std::vector<int> seeds4({1,2,3,4});
std::vector<int> seeds5({5,6,7,8});
GridParallelRNG RNG4(UGrid); RNG4.SeedFixedIntegers(seeds4);
GridParallelRNG RNG5(FGrid); RNG5.SeedFixedIntegers(seeds5);
LatticeFermion src (FGrid); random(RNG5,src);
LatticeFermion phi (FGrid); random(RNG5,phi);
LatticeFermion chi (FGrid); random(RNG5,chi);
LatticeFermion result(FGrid); result=Zero();
LatticeFermion ref(FGrid); ref=Zero();
LatticeFermion tmp(FGrid); tmp=Zero();
LatticeFermion tmp1(FGrid);
LatticeFermion err(FGrid); tmp=Zero();
LatticeGaugeField Umu(UGrid); SU<Nc>::HotConfiguration(RNG4,Umu);
RealD mass=0.1;
RealD M5 =1.8;
DomainWallFermionR DdwfPeri(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5);
typedef DirichletFermionOperator<DomainWallFermionR::Impl_t> FermOp;
Coordinate Block({4,4,4,4});
DomainWallFermionR DdwfPeriTmp(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5);
FermOp Ddwf(DdwfPeriTmp,Block);
Ddwf.ImportGauge(Umu);
LatticeFermion src_e (FrbGrid);
LatticeFermion src_o (FrbGrid);
LatticeFermion r_e (FrbGrid);
LatticeFermion r_o (FrbGrid);
LatticeFermion r_eo (FGrid);
LatticeFermion r_eeoo(FGrid);
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
std::cout<<GridLogMessage<<"= Testing that Meo + Moe + Moo + Mee = Munprec "<<std::endl;
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
pickCheckerboard(Even,src_e,src);
pickCheckerboard(Odd,src_o,src);
Ddwf.Meooe(src_e,r_o); std::cout<<GridLogMessage<<"Applied Meo"<<std::endl;
Ddwf.Meooe(src_o,r_e); std::cout<<GridLogMessage<<"Applied Moe"<<std::endl;
setCheckerboard(r_eo,r_o);
setCheckerboard(r_eo,r_e);
Ddwf.Mooee(src_e,r_e); std::cout<<GridLogMessage<<"Applied Mee"<<std::endl;
Ddwf.Mooee(src_o,r_o); std::cout<<GridLogMessage<<"Applied Moo"<<std::endl;
setCheckerboard(r_eeoo,r_e);
setCheckerboard(r_eeoo,r_o);
r_eo=r_eo+r_eeoo;
Ddwf.M(src,ref);
// std::cout<<GridLogMessage << r_eo<<std::endl;
// std::cout<<GridLogMessage << ref <<std::endl;
err= ref - r_eo;
std::cout<<GridLogMessage << "EO norm diff "<< norm2(err)<< " "<<norm2(ref)<< " " << norm2(r_eo) <<std::endl;
LatticeComplex cerr(FGrid);
cerr = localInnerProduct(err,err);
// std::cout<<GridLogMessage << cerr<<std::endl;
std::cout<<GridLogMessage<<"=============================================================="<<std::endl;
std::cout<<GridLogMessage<<"= Test Ddagger is the dagger of D by requiring "<<std::endl;
std::cout<<GridLogMessage<<"= < phi | Deo | chi > * = < chi | Deo^dag| phi> "<<std::endl;
std::cout<<GridLogMessage<<"=============================================================="<<std::endl;
LatticeFermion chi_e (FrbGrid);
LatticeFermion chi_o (FrbGrid);
LatticeFermion dchi_e (FrbGrid);
LatticeFermion dchi_o (FrbGrid);
LatticeFermion phi_e (FrbGrid);
LatticeFermion phi_o (FrbGrid);
LatticeFermion dphi_e (FrbGrid);
LatticeFermion dphi_o (FrbGrid);
pickCheckerboard(Even,chi_e,chi);
pickCheckerboard(Odd ,chi_o,chi);
pickCheckerboard(Even,phi_e,phi);
pickCheckerboard(Odd ,phi_o,phi);
Ddwf.Meooe(chi_e,dchi_o);
Ddwf.Meooe(chi_o,dchi_e);
Ddwf.MeooeDag(phi_e,dphi_o);
Ddwf.MeooeDag(phi_o,dphi_e);
ComplexD pDce = innerProduct(phi_e,dchi_e);
ComplexD pDco = innerProduct(phi_o,dchi_o);
ComplexD cDpe = innerProduct(chi_e,dphi_e);
ComplexD cDpo = innerProduct(chi_o,dphi_o);
std::cout<<GridLogMessage <<"e "<<pDce<<" "<<cDpe <<std::endl;
std::cout<<GridLogMessage <<"o "<<pDco<<" "<<cDpo <<std::endl;
std::cout<<GridLogMessage <<"pDce - conj(cDpo) "<< pDce-conj(cDpo) <<std::endl;
std::cout<<GridLogMessage <<"pDco - conj(cDpe) "<< pDco-conj(cDpe) <<std::endl;
std::cout<<GridLogMessage<<"=============================================================="<<std::endl;
std::cout<<GridLogMessage<<"= Test MeeInv Mee = 1 "<<std::endl;
std::cout<<GridLogMessage<<"=============================================================="<<std::endl;
pickCheckerboard(Even,chi_e,chi);
pickCheckerboard(Odd ,chi_o,chi);
Ddwf.Mooee(chi_e,src_e);
Ddwf.MooeeInv(src_e,phi_e);
Ddwf.Mooee(chi_o,src_o);
Ddwf.MooeeInv(src_o,phi_o);
setCheckerboard(phi,phi_e);
setCheckerboard(phi,phi_o);
err = phi-chi;
std::cout<<GridLogMessage << "norm diff "<< norm2(err)<< std::endl;
std::cout<<GridLogMessage<<"=============================================================="<<std::endl;
std::cout<<GridLogMessage<<"= Test MeeInvDag MeeDag = 1 "<<std::endl;
std::cout<<GridLogMessage<<"=============================================================="<<std::endl;
pickCheckerboard(Even,chi_e,chi);
pickCheckerboard(Odd ,chi_o,chi);
Ddwf.MooeeDag(chi_e,src_e);
Ddwf.MooeeInvDag(src_e,phi_e);
Ddwf.MooeeDag(chi_o,src_o);
Ddwf.MooeeInvDag(src_o,phi_o);
setCheckerboard(phi,phi_e);
setCheckerboard(phi,phi_o);
err = phi-chi;
std::cout<<GridLogMessage << "norm diff "<< norm2(err)<< std::endl;
std::cout<<GridLogMessage<<"=============================================================="<<std::endl;
std::cout<<GridLogMessage<<"= Test MpcDagMpc is Hermitian "<<std::endl;
std::cout<<GridLogMessage<<"=============================================================="<<std::endl;
random(RNG5,phi);
random(RNG5,chi);
pickCheckerboard(Even,chi_e,chi);
pickCheckerboard(Odd ,chi_o,chi);
pickCheckerboard(Even,phi_e,phi);
pickCheckerboard(Odd ,phi_o,phi);
RealD t1,t2;
SchurDiagMooeeOperator<FermOp,LatticeFermion> HermOpEO(Ddwf);
HermOpEO.MpcDagMpc(chi_e,dchi_e);
HermOpEO.MpcDagMpc(chi_o,dchi_o);
HermOpEO.MpcDagMpc(phi_e,dphi_e);
HermOpEO.MpcDagMpc(phi_o,dphi_o);
pDce = innerProduct(phi_e,dchi_e);
pDco = innerProduct(phi_o,dchi_o);
cDpe = innerProduct(chi_e,dphi_e);
cDpo = innerProduct(chi_o,dphi_o);
std::cout<<GridLogMessage <<"e "<<pDce<<" "<<cDpe <<std::endl;
std::cout<<GridLogMessage <<"o "<<pDco<<" "<<cDpo <<std::endl;
std::cout<<GridLogMessage <<"pDce - conj(cDpo) "<< pDco-conj(cDpo) <<std::endl;
std::cout<<GridLogMessage <<"pDco - conj(cDpe) "<< pDce-conj(cDpe) <<std::endl;
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
std::cout<<GridLogMessage<<"= Testing one direction at a time "<<std::endl;
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
tmp = Zero();
for(int mu=0;mu<Nd;mu++){
std::vector<TComplex> slice_ref;
std::vector<TComplex> slice_result;
// 5D - Ls is innermost This now annoys me.
DdwfPeri.Mdir(src,ref ,mu+1,-1);
Ddwf.Mdir(src,result,mu+1,-1);
tmp = tmp + result;
auto lip = localInnerProduct(result,result);
ref = ref - result;
auto dip = localInnerProduct(ref,ref);
sliceSum(lip,slice_result,mu+1);
sliceSum(dip,slice_ref,mu+1);
for(int t=0;t<latt[mu];t++){
std::cout << "mu="<<mu<<" result["<<t<<"] "<<slice_result[t]<<" delta "<<slice_ref[t]<<std::endl;
if( (t%Block[mu]) !=0) assert(norm2(slice_ref[t]) < 1.0e-10);
else assert(norm2(slice_result[t]) == 0.0);
}
// Opposite dir
DdwfPeri.Mdir(src,ref ,mu+1,1);
Ddwf.Mdir(src,result,mu+1,1);
tmp = tmp + result;
lip = localInnerProduct(result,result);
ref = ref - result;
dip = localInnerProduct(ref,ref);
sliceSum(lip,slice_result,mu+1);
sliceSum(dip,slice_ref,mu+1);
for(int t=0;t<latt[mu];t++){
// std::cout << "mu="<<mu<<" result["<<t<<"] "<<slice_result[t]<<" delta "<<slice_ref[t]<<std::endl;
if( (t%Block[mu]) != Block[mu]-1) assert(norm2(slice_ref[t]) < 1.0e-10);
else assert(norm2(slice_result[t]) == 0.0);
}
}
pickCheckerboard(Even,src_e,src);
pickCheckerboard(Odd,src_o,src);
Ddwf.Meooe(src_e,r_o); std::cout<<GridLogMessage<<"Applied Meo"<<std::endl;
Ddwf.Meooe(src_o,r_e); std::cout<<GridLogMessage<<"Applied Moe"<<std::endl;
setCheckerboard(r_eo,r_o);
setCheckerboard(r_eo,r_e);
ref = r_eo - tmp;
std::cout << " Difference between Moffdiag and sum over directions is "<<norm2(ref)<<std::endl;
assert(norm2(ref)<1.0e-10);
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
std::cout<<GridLogMessage<<"= Testing that POmega+POmegaBar = 1 "<<std::endl;
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
double StoppingCondition = 1e-10;
double MaxCGIterations = 30000;
ConjugateGradient<LatticeFermion> CG(StoppingCondition,MaxCGIterations);
SchurFactoredFermionOperator<DomainWallFermionR::Impl_t> Schur(DdwfPeri,Ddwf,CG,Block);
result = src;
Schur.ProjectOmega(result);
tmp = src;
Schur.ProjectOmegaBar(tmp);
std::cout << " norm2(src) "<<norm2(src)<< " "<< norm2(result)<<" "<<norm2(tmp)<<std::endl;
result = result + tmp - src;
std::cout << " diff = "<<norm2(result)<<std::endl;
assert(norm2(result)<=1.0e-8);
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
std::cout<<GridLogMessage<<"= Testing that dBoundary+dBoundaryBar+dOmega+dOmegaBar = Munprec "<<std::endl;
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
Schur.dBoundary (src,tmp); result=tmp; std::cout << "dBoundary "<<norm2(tmp)<<std::endl;
Schur.dBoundaryBar (src,tmp); result=result+tmp; std::cout << "dBoundaryBar "<<norm2(tmp)<<std::endl;
Schur.dOmega (src,tmp); result=result+tmp; std::cout << "dOmega "<<norm2(tmp)<<std::endl;
Schur.dOmegaBar (src,tmp); result=result+tmp; std::cout << "dOmegaBar "<<norm2(tmp)<<std::endl;
DdwfPeri.M(src,ref);
err= ref - result;
std::cout<<GridLogMessage << " norm diff "<< norm2(err)<< " "<<norm2(ref)<< " " << norm2(result) <<std::endl;
assert(norm2(err)<=1.0e-8);
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
std::cout<<GridLogMessage<<"= Testing that (dBoundary+dBoundaryBar+dOmega+dOmegaBar)dag = Mdag "<<std::endl;
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
Schur.dBoundaryDag (src,tmp); result=tmp; std::cout << "dBoundaryDag "<<norm2(tmp)<<std::endl;
Schur.dBoundaryBarDag (src,tmp); result=result+tmp; std::cout << "dBoundaryBarDag "<<norm2(tmp)<<std::endl;
Schur.dOmegaDag (src,tmp); result=result+tmp; std::cout << "dOmegaDag "<<norm2(tmp)<<std::endl;
Schur.dOmegaBarDag (src,tmp); result=result+tmp; std::cout << "dOmegaBarDag "<<norm2(tmp)<<std::endl;
DdwfPeri.Mdag(src,ref);
err= ref - result;
std::cout<<GridLogMessage << " norm diff "<< norm2(err)<< " "<<norm2(ref)<< " " << norm2(result) <<std::endl;
assert(norm2(err)<=1.0e-8);
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
std::cout<<GridLogMessage<<"= Testing that <chi|dBoundary|phi> = <phi|dBoundaryDag|chi>^* "<<std::endl;
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
Schur.dBoundary(phi,tmp); std::cout << "<chi|dBoundary|phi>"<<innerProduct(chi,tmp)<<std::endl;
Schur.dBoundaryDag(chi,tmp); std::cout << "<phi|dBoundaryDag|chi>"<<innerProduct(phi,tmp)<<std::endl;
Schur.dBoundaryBar(phi,tmp); std::cout << "<chi|dBoundaryBar|phi>"<<innerProduct(chi,tmp)<<std::endl;
Schur.dBoundaryBarDag(chi,tmp); std::cout << "<phi|dBoundaryBarDag|chi>"<<innerProduct(phi,tmp)<<std::endl;
Schur.dOmega(phi,tmp); std::cout << "<chi|dOmega|phi>"<<innerProduct(chi,tmp)<<std::endl;
Schur.dOmegaDag(chi,tmp); std::cout << "<phi|dOmegaDag|chi>"<<innerProduct(phi,tmp)<<std::endl;
Schur.dOmegaBar(phi,tmp); std::cout << "<chi|dOmegaBar|phi>"<<innerProduct(chi,tmp)<<std::endl;
Schur.dOmegaBarDag(chi,tmp); std::cout << "<phi|dOmegaBarDag|chi>"<<innerProduct(phi,tmp)<<std::endl;
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
std::cout<<GridLogMessage<<"= Testing that dBoundary ProjectBoundary = dBoundary "<<std::endl;
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
tmp = src;
Schur.ProjectBoundary(tmp);
Schur.dBoundary(tmp,result);
Schur.dBoundary(src,tmp);
result=result - tmp;
std::cout << " diff = "<<norm2(result)<< " result "<<norm2(tmp)<<" "<<norm2(src)<<std::endl;
assert(norm2(result)<=1.0e-8);
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
std::cout<<GridLogMessage<<"= Testing that dBoundaryBar ProjectBoundaryBar = dBoundaryBar "<<std::endl;
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
tmp = src;
Schur.ProjectBoundaryBar(tmp);
Schur.dBoundaryBar(tmp,result);
Schur.dBoundaryBar(src,tmp);
result=result - tmp;
std::cout << " diff = "<<norm2(result)<< " result "<<norm2(tmp)<<std::endl;
assert(norm2(result)<=1.0e-8);
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
std::cout<<GridLogMessage<<"= Testing that dOmega dOmegaInv = 1 "<<std::endl;
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
tmp = src;
Schur.ProjectOmega(tmp);
Schur.dOmega(tmp,tmp1);
Schur.dOmegaInv(tmp1,result);
tmp=tmp-result;
std::cout << " diff = "<<norm2(tmp)<< " result "<<norm2(result)<<std::endl;
assert(norm2(tmp)<=1.0e-8);
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
std::cout<<GridLogMessage<<"= Testing that dOmegaBar dOmegaBarInv = 1 "<<std::endl;
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
tmp = src;
Schur.ProjectOmegaBar(tmp);
Schur.dOmegaBar(tmp,tmp1);
Schur.dOmegaBarInv(tmp1,result);
tmp=tmp-result;
std::cout << " diff = "<<norm2(tmp)<< " result "<<norm2(result)<<std::endl;
assert(norm2(tmp)<=1.0e-8);
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
std::cout<<GridLogMessage<<"= Testing that dOmegaDag dOmegaDagInv = 1 "<<std::endl;
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
tmp = src;
Schur.ProjectOmega(tmp);
Schur.dOmegaDag(tmp,tmp1);
Schur.dOmegaDagInv(tmp1,result);
tmp=tmp-result;
std::cout << " diff = "<<norm2(tmp)<< " result "<<norm2(result)<<std::endl;
assert(norm2(tmp)<=1.0e-8);
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
std::cout<<GridLogMessage<<"= Testing that dOmegaBarDag dOmegaBarDagInv = 1 "<<std::endl;
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
tmp = src;
Schur.ProjectOmegaBar(tmp);
Schur.dOmegaBarDag(tmp,tmp1);
Schur.dOmegaBarDagInv(tmp1,result);
tmp=tmp-result;
std::cout << " diff = "<<norm2(tmp)<< " result "<<norm2(result)<<std::endl;
assert(norm2(tmp)<=1.0e-8);
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
std::cout<<GridLogMessage<<"= Testing that R RInv = Pboundary "<<std::endl;
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
LatticeFermion Rphi (FGrid);
LatticeFermion Rdagchi(FGrid);
tmp = phi;
Schur.R(tmp,Rphi);
Schur.RInv(Rphi,result);
tmp = phi;
Schur.ProjectBoundaryBar(tmp);
tmp=tmp-result;
std::cout << " diff = "<<norm2(tmp)<< " result "<<norm2(result)<<std::endl;
assert(norm2(tmp)<1.0e-8);
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
std::cout<<GridLogMessage<<"= Testing that Rdag RInvdag = Pboundary "<<std::endl;
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
tmp = chi;
Schur.RDag(tmp,Rdagchi);
Schur.RDagInv(Rdagchi,result);
tmp = chi;
Schur.ProjectBoundaryBar(tmp);
tmp=tmp-result;
std::cout << " diff = "<<norm2(tmp)<< " result "<<norm2(result)<<std::endl;
assert(norm2(tmp)<1.0e-8);
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
std::cout<<GridLogMessage<<"= Testing that <chi|R|phi> = <phi|Rdag|chi>* "<<std::endl;
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
std::cout << "<chi|R|phi>"<<innerProduct(chi,Rphi)<<std::endl;
std::cout << "<phi|Rdag|chi>"<<innerProduct(phi,Rdagchi)<<std::endl;
Grid_finalize();
}
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