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Adding DWF evec Chirality measurement

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Chulwoo Jung
2025-04-22 22:17:51 +00:00
parent cee4c8ce8c
commit a957e7bfa1
2 changed files with 355 additions and 1 deletions
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10
tests/lanczos/LanParams.xml
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<?xml version="1.0"?>
<grid>
<LanczosParameters>
<mass>-3.5</mass>
<mass>0.00107</mass>
<M5>1.8</M5>
<Ls>48</Ls>
<Nstop>10</Nstop>
<Nk>15</Nk>
<Np>85</Np>
<ChebyLow>0.003</ChebyLow>
<ChebyHigh>60</ChebyHigh>
<ChebyOrder>201</ChebyOrder>
</LanczosParameters>
</grid>

346
tests/lanczos/Test_dwf_G5R5.cc Normal file
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/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./tests/Test_dwf_G5R5.cc
Copyright (C) 2015
Author: Chulwoo Jung <chulwoo@bnl.gov>
From Duo and Bob's Chirality study
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>
using namespace std;
using namespace Grid;
;
//typedef WilsonFermionD FermionOp;
typedef DomainWallFermionD FermionOp;
typedef typename DomainWallFermionD::FermionField FermionField;
RealD AllZero(RealD x) { return 0.; }
namespace Grid {
struct LanczosParameters: Serializable {
GRID_SERIALIZABLE_CLASS_MEMBERS(LanczosParameters,
RealD, mass ,
RealD, M5 ,
Integer, Ls,
Integer, Nstop,
Integer, Nk,
Integer, Np,
RealD, ChebyLow,
RealD, ChebyHigh,
Integer, ChebyOrder)
// Integer, StartTrajectory,
// Integer, Trajectories, /* @brief Number of sweeps in this run */
// bool, MetropolisTest,
// Integer, NoMetropolisUntil,
// std::string, StartingType,
// Integer, SW,
// RealD, Kappa,
// IntegratorParameters, MD)
LanczosParameters() {
////////////////////////////// Default values
mass = 0;
// MetropolisTest = true;
// NoMetropolisUntil = 10;
// StartTrajectory = 0;
// SW = 2;
// Trajectories = 10;
// StartingType = "HotStart";
/////////////////////////////////
}
template <class ReaderClass >
LanczosParameters(Reader<ReaderClass> & TheReader){
initialize(TheReader);
}
template < class ReaderClass >
void initialize(Reader<ReaderClass> &TheReader){
// std::cout << GridLogMessage << "Reading HMC\n";
read(TheReader, "HMC", *this);
}
void print_parameters() const {
// std::cout << GridLogMessage << "[HMC parameters] Trajectories : " << Trajectories << "\n";
// std::cout << GridLogMessage << "[HMC parameters] Start trajectory : " << StartTrajectory << "\n";
// std::cout << GridLogMessage << "[HMC parameters] Metropolis test (on/off): " << std::boolalpha << MetropolisTest << "\n";
// std::cout << GridLogMessage << "[HMC parameters] Thermalization trajs : " << NoMetropolisUntil << "\n";
// std::cout << GridLogMessage << "[HMC parameters] Starting type : " << StartingType << "\n";
// MD.print_parameters();
}
};
}
int main(int argc, char** argv) {
Grid_init(&argc, &argv);
LanczosParameters LanParams;
#if 1
{
XmlReader HMCrd("LanParams.xml");
read(HMCrd,"LanczosParameters",LanParams);
}
#else
{
LanParams.mass = mass;
}
#endif
std::cout << GridLogMessage<< LanParams <<std::endl;
{
XmlWriter HMCwr("LanParams.xml.out");
write(HMCwr,"LanczosParameters",LanParams);
}
int Ls=16;
RealD M5=1.8;
RealD mass = -1.0;
mass=LanParams.mass;
Ls=LanParams.Ls;
M5=LanParams.M5;
GridCartesian* UGrid = SpaceTimeGrid::makeFourDimGrid(
GridDefaultLatt(), GridDefaultSimd(Nd, vComplex::Nsimd()),
GridDefaultMpi());
GridRedBlackCartesian* UrbGrid =
SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
// GridCartesian* FGrid = UGrid;
// GridRedBlackCartesian* FrbGrid = UrbGrid;
GridCartesian * FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls, UGrid);
GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls, UGrid);
// printf("UGrid=%p UrbGrid=%p FGrid=%p FrbGrid=%p\n", UGrid, UrbGrid, FGrid, FrbGrid);
std::vector<int> seeds4({1, 2, 3, 4});
std::vector<int> seeds5({5, 6, 7, 8});
GridParallelRNG RNG5(FGrid); RNG5.SeedFixedIntegers(seeds5);
GridParallelRNG RNG4(UGrid); RNG4.SeedFixedIntegers(seeds4);
GridParallelRNG RNG5rb(FrbGrid); RNG5.SeedFixedIntegers(seeds5);
LatticeGaugeField Umu(UGrid);
FieldMetaData header;
std::string file("./config");
int precision32 = 0;
int tworow = 0;
NerscIO::readConfiguration(Umu,header,file);
/*
std::vector<LatticeColourMatrix> U(4, UGrid);
for (int mu = 0; mu < Nd; mu++) {
U[mu] = PeekIndex<LorentzIndex>(Umu, mu);
}
*/
int Nstop = 10;
int Nk = 20;
int Np = 80;
Nstop=LanParams.Nstop;
Nk=LanParams.Nk;
Np=LanParams.Np;
int Nm = Nk + Np;
int MaxIt = 10000;
RealD resid = 1.0e-5;
//while ( mass > - 5.0){
FermionOp Ddwf(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5);
MdagMLinearOperator<FermionOp,FermionField> HermOp(Ddwf); /// <-----
// Gamma5HermitianLinearOperator <FermionOp,LatticeFermion> HermOp2(WilsonOperator); /// <-----
Gamma5R5HermitianLinearOperator<FermionOp, LatticeFermion> G5R5Herm(Ddwf);
// Gamma5R5HermitianLinearOperator
std::vector<double> Coeffs{0, 1.};
Polynomial<FermionField> PolyX(Coeffs);
Chebyshev<FermionField> Cheby(LanParams.ChebyLow,LanParams.ChebyHigh,LanParams.ChebyOrder);
FunctionHermOp<FermionField> OpCheby(Cheby,HermOp);
PlainHermOp<FermionField> Op (HermOp);
PlainHermOp<FermionField> Op2 (G5R5Herm);
ImplicitlyRestartedLanczos<FermionField> IRL(OpCheby, Op, Nstop, Nk, Nm, resid, MaxIt);
std::vector<RealD> eval(Nm);
FermionField src(FGrid);
gaussian(RNG5, src);
std::vector<FermionField> evec(Nm, FGrid);
for (int i = 0; i < 1; i++) {
std::cout << i << " / " << Nm << " grid pointer " << evec[i].Grid()
<< std::endl;
};
int Nconv;
IRL.calc(eval, evec, src, Nconv);
std::cout << mass <<" : " << eval << std::endl;
#if 0
Gamma g5(Gamma::Algebra::Gamma5) ;
ComplexD dot;
FermionField tmp(FGrid);
// RealD eMe,eMMe;
for (int i = 0; i < Nstop ; i++) {
// tmp = g5*evec[i];
dot = innerProduct(evec[i],evec[i]);
// G5R5(tmp,evec[i]);
G5R5Herm.HermOpAndNorm(evec[i],tmp,eMe,eMMe);
std::cout <<"Norm "<<M5<<" "<< mass << " : " << i << " " << real(dot) << " " << imag(dot) << " "<< eMe << " " <<eMMe<< std::endl ;
for (int j = 0; j < Nstop ; j++) {
dot = innerProduct(tmp,evec[j]);
std::cout <<"G5R5 "<<M5<<" "<< mass << " : " << i << " " <<j<<" " << real(dot) << " " << imag(dot) << std::endl ;
}
}
// src = evec[0]+evec[1]+evec[2];
// mass += -0.1;
#endif
//**********************************************************************
//orthogonalization
//calculat the matrix
cout << "Start orthogonalization " << endl;
cout << "calculate the matrix element" << endl;
vector<LatticeFermion> G5R5Mevec(Nconv, FGrid);
vector<LatticeFermion> finalevec(Nconv, FGrid);
vector<RealD> eMe(Nconv), eMMe(Nconv);
for(int i = 0; i < Nconv; i++){
G5R5Herm.HermOpAndNorm(evec[i], G5R5Mevec[i], eMe[i], eMMe[i]);
}
cout << "Re<evec, G5R5M(evec)>: " << endl;
cout << eMe << endl;
cout << "<G5R5M(evec), G5R5M(evec)>" << endl;
cout << eMMe << endl;
vector<vector<ComplexD>> VevecG5R5Mevec(Nconv);
Eigen::MatrixXcd evecG5R5Mevec = Eigen::MatrixXcd::Zero(Nconv, Nconv);
for(int i = 0; i < Nconv; i++){
VevecG5R5Mevec[i].resize(Nconv);
for(int j = 0; j < Nconv; j++){
VevecG5R5Mevec[i][j] = innerProduct(evec[i], G5R5Mevec[j]);
evecG5R5Mevec(i, j) = VevecG5R5Mevec[i][j];
}
}
//calculate eigenvector
cout << "Eigen solver" << endl;
Eigen::SelfAdjointEigenSolver<Eigen::MatrixXcd> eigensolver(evecG5R5Mevec);
vector<RealD> eigeneval(Nconv);
vector<vector<ComplexD>> eigenevec(Nconv);
for(int i = 0; i < Nconv; i++){
eigeneval[i] = eigensolver.eigenvalues()[i];
eigenevec[i].resize(Nconv);
for(int j = 0; j < Nconv; j++){
eigenevec[i][j] = eigensolver.eigenvectors()(i, j);
}
}
//rotation
cout << "Do rotation" << endl;
for(int i = 0; i < Nconv; i++){
finalevec[i] = finalevec[i] - finalevec[i];
for(int j = 0; j < Nconv; j++){
finalevec[i] = eigenevec[j][i]*evec[j] + finalevec[i];
}
}
//normalize again;
for(int i = 0; i < Nconv; i++){
RealD tmp_RealD = norm2(finalevec[i]);
tmp_RealD = 1./pow(tmp_RealD, 0.5);
finalevec[i] = finalevec[i]*tmp_RealD;
}
//check
for(int i = 0; i < Nconv; i++){
G5R5Herm.HermOpAndNorm(finalevec[i], G5R5Mevec[i], eMe[i], eMMe[i]);
}
//**********************************************************************
//sort the eigenvectors
vector<LatticeFermion> finalevec_copy(Nconv, FGrid);
for(int i = 0; i < Nconv; i++){
finalevec_copy[i] = finalevec[i];
}
vector<RealD> eMe_copy(eMe);
for(int i = 0; i < Nconv; i++){
eMe[i] = fabs(eMe[i]);
eMe_copy[i] = eMe[i];
}
sort(eMe_copy.begin(), eMe_copy.end());
for(int i = 0; i < Nconv; i++){
for(int j = 0; j < Nconv; j++){
if(eMe[j] == eMe_copy[i]){
finalevec[i] = finalevec_copy[j];
}
}
}
for(int i = 0; i < Nconv; i++){
G5R5Herm.HermOpAndNorm(finalevec[i], G5R5Mevec[i], eMe[i], eMMe[i]);
}
cout << "Re<evec, G5R5M(evec)>: " << endl;
cout << eMe << endl;
cout << "<G5R5M(evec), G5R5M(evec)>" << endl;
cout << eMMe << endl;
// vector<LatticeFermion> finalevec(Nconv, FGrid);
// temporary, until doing rotation
// for(int i = 0; i < Nconv; i++)
// finalevec[i]=evec[i];
//**********************************************************************
//calculate chirality matrix
vector<LatticeFermion> G5evec(Nconv, FGrid);
vector<vector<ComplexD>> chiral_matrix(Nconv);
vector<vector<RealD>> chiral_matrix_real(Nconv);
for(int i = 0; i < Nconv; i++){
// G5evec[i] = G5evec[i] - G5evec[i];
G5evec[i] = Zero();
for(int j = 0; j < Ls/2; j++){
axpby_ssp(G5evec[i], 1., finalevec[i], 0., G5evec[i], j, j);
}
for(int j = Ls/2; j < Ls; j++){
axpby_ssp(G5evec[i], -1., finalevec[i], 0., G5evec[i], j, j);
}
}
for(int i = 0; i < Nconv; i++){
chiral_matrix_real[i].resize(Nconv);
chiral_matrix[i].resize(Nconv);
for(int j = 0; j < Nconv; j++){
chiral_matrix[i][j] = innerProduct(finalevec[i], G5evec[j]);
chiral_matrix_real[i][j] = abs(chiral_matrix[i][j]);
std::cout <<" chiral_matrix_real "<<i<<" "<<j<<" "<< chiral_matrix_real[i][j] << std::endl;
}
}
for(int i = 0; i < Nconv; i++){
if(chiral_matrix[i][i].real() < 0.){
chiral_matrix_real[i][i] = -1. * chiral_matrix_real[i][i];
}
}
Grid_finalize();
}