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Adding DWF evec Chirality measurement
This commit is contained in:
Chulwoo Jung
parent
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commit
a957e7bfa1
@ -1,6 +1,14 @@
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<?xml version="1.0"?>
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<grid>
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<LanczosParameters>
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<mass>-3.5</mass>
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<mass>0.00107</mass>
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<M5>1.8</M5>
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<Ls>48</Ls>
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<Nstop>10</Nstop>
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<Nk>15</Nk>
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<Np>85</Np>
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<ChebyLow>0.003</ChebyLow>
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<ChebyHigh>60</ChebyHigh>
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<ChebyOrder>201</ChebyOrder>
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</LanczosParameters>
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</grid>
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346
tests/lanczos/Test_dwf_G5R5.cc
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346
tests/lanczos/Test_dwf_G5R5.cc
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/*************************************************************************************
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Grid physics library, www.github.com/paboyle/Grid
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Source file: ./tests/Test_dwf_G5R5.cc
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Copyright (C) 2015
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Author: Chulwoo Jung <chulwoo@bnl.gov>
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From Duo and Bob's Chirality study
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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
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directory
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*************************************************************************************/
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/* END LEGAL */
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#include <Grid/Grid.h>
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using namespace std;
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using namespace Grid;
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;
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//typedef WilsonFermionD FermionOp;
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typedef DomainWallFermionD FermionOp;
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typedef typename DomainWallFermionD::FermionField FermionField;
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RealD AllZero(RealD x) { return 0.; }
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namespace Grid {
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struct LanczosParameters: Serializable {
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GRID_SERIALIZABLE_CLASS_MEMBERS(LanczosParameters,
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RealD, mass ,
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RealD, M5 ,
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Integer, Ls,
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Integer, Nstop,
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Integer, Nk,
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Integer, Np,
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RealD, ChebyLow,
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RealD, ChebyHigh,
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Integer, ChebyOrder)
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// Integer, StartTrajectory,
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// Integer, Trajectories, /* @brief Number of sweeps in this run */
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// bool, MetropolisTest,
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// Integer, NoMetropolisUntil,
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// std::string, StartingType,
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// Integer, SW,
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// RealD, Kappa,
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// IntegratorParameters, MD)
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LanczosParameters() {
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////////////////////////////// Default values
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mass = 0;
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// MetropolisTest = true;
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// NoMetropolisUntil = 10;
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// StartTrajectory = 0;
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// SW = 2;
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// Trajectories = 10;
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// StartingType = "HotStart";
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/////////////////////////////////
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}
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template <class ReaderClass >
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LanczosParameters(Reader<ReaderClass> & TheReader){
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initialize(TheReader);
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}
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template < class ReaderClass >
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void initialize(Reader<ReaderClass> &TheReader){
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// std::cout << GridLogMessage << "Reading HMC\n";
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read(TheReader, "HMC", *this);
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}
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void print_parameters() const {
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// std::cout << GridLogMessage << "[HMC parameters] Trajectories : " << Trajectories << "\n";
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// std::cout << GridLogMessage << "[HMC parameters] Start trajectory : " << StartTrajectory << "\n";
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// std::cout << GridLogMessage << "[HMC parameters] Metropolis test (on/off): " << std::boolalpha << MetropolisTest << "\n";
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// std::cout << GridLogMessage << "[HMC parameters] Thermalization trajs : " << NoMetropolisUntil << "\n";
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// std::cout << GridLogMessage << "[HMC parameters] Starting type : " << StartingType << "\n";
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// MD.print_parameters();
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}
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};
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}
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int main(int argc, char** argv) {
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Grid_init(&argc, &argv);
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LanczosParameters LanParams;
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#if 1
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{
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XmlReader HMCrd("LanParams.xml");
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read(HMCrd,"LanczosParameters",LanParams);
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}
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#else
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{
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LanParams.mass = mass;
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}
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#endif
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std::cout << GridLogMessage<< LanParams <<std::endl;
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{
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XmlWriter HMCwr("LanParams.xml.out");
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write(HMCwr,"LanczosParameters",LanParams);
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}
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int Ls=16;
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RealD M5=1.8;
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RealD mass = -1.0;
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mass=LanParams.mass;
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Ls=LanParams.Ls;
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M5=LanParams.M5;
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GridCartesian* UGrid = SpaceTimeGrid::makeFourDimGrid(
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GridDefaultLatt(), GridDefaultSimd(Nd, vComplex::Nsimd()),
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GridDefaultMpi());
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GridRedBlackCartesian* UrbGrid =
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SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
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// GridCartesian* FGrid = UGrid;
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// GridRedBlackCartesian* FrbGrid = UrbGrid;
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GridCartesian * FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls, UGrid);
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GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls, UGrid);
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// printf("UGrid=%p UrbGrid=%p FGrid=%p FrbGrid=%p\n", UGrid, UrbGrid, FGrid, FrbGrid);
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std::vector<int> seeds4({1, 2, 3, 4});
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std::vector<int> seeds5({5, 6, 7, 8});
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GridParallelRNG RNG5(FGrid); RNG5.SeedFixedIntegers(seeds5);
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GridParallelRNG RNG4(UGrid); RNG4.SeedFixedIntegers(seeds4);
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GridParallelRNG RNG5rb(FrbGrid); RNG5.SeedFixedIntegers(seeds5);
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LatticeGaugeField Umu(UGrid);
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FieldMetaData header;
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std::string file("./config");
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int precision32 = 0;
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int tworow = 0;
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NerscIO::readConfiguration(Umu,header,file);
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/*
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std::vector<LatticeColourMatrix> U(4, UGrid);
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for (int mu = 0; mu < Nd; mu++) {
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U[mu] = PeekIndex<LorentzIndex>(Umu, mu);
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}
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*/
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int Nstop = 10;
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int Nk = 20;
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int Np = 80;
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Nstop=LanParams.Nstop;
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Nk=LanParams.Nk;
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Np=LanParams.Np;
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int Nm = Nk + Np;
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int MaxIt = 10000;
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RealD resid = 1.0e-5;
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//while ( mass > - 5.0){
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FermionOp Ddwf(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5);
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MdagMLinearOperator<FermionOp,FermionField> HermOp(Ddwf); /// <-----
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// Gamma5HermitianLinearOperator <FermionOp,LatticeFermion> HermOp2(WilsonOperator); /// <-----
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Gamma5R5HermitianLinearOperator<FermionOp, LatticeFermion> G5R5Herm(Ddwf);
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// Gamma5R5HermitianLinearOperator
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std::vector<double> Coeffs{0, 1.};
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Polynomial<FermionField> PolyX(Coeffs);
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Chebyshev<FermionField> Cheby(LanParams.ChebyLow,LanParams.ChebyHigh,LanParams.ChebyOrder);
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FunctionHermOp<FermionField> OpCheby(Cheby,HermOp);
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PlainHermOp<FermionField> Op (HermOp);
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PlainHermOp<FermionField> Op2 (G5R5Herm);
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ImplicitlyRestartedLanczos<FermionField> IRL(OpCheby, Op, Nstop, Nk, Nm, resid, MaxIt);
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std::vector<RealD> eval(Nm);
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FermionField src(FGrid);
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gaussian(RNG5, src);
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std::vector<FermionField> evec(Nm, FGrid);
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for (int i = 0; i < 1; i++) {
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std::cout << i << " / " << Nm << " grid pointer " << evec[i].Grid()
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<< std::endl;
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};
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int Nconv;
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IRL.calc(eval, evec, src, Nconv);
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std::cout << mass <<" : " << eval << std::endl;
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#if 0
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Gamma g5(Gamma::Algebra::Gamma5) ;
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ComplexD dot;
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FermionField tmp(FGrid);
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// RealD eMe,eMMe;
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for (int i = 0; i < Nstop ; i++) {
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// tmp = g5*evec[i];
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dot = innerProduct(evec[i],evec[i]);
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// G5R5(tmp,evec[i]);
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G5R5Herm.HermOpAndNorm(evec[i],tmp,eMe,eMMe);
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std::cout <<"Norm "<<M5<<" "<< mass << " : " << i << " " << real(dot) << " " << imag(dot) << " "<< eMe << " " <<eMMe<< std::endl ;
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for (int j = 0; j < Nstop ; j++) {
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dot = innerProduct(tmp,evec[j]);
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std::cout <<"G5R5 "<<M5<<" "<< mass << " : " << i << " " <<j<<" " << real(dot) << " " << imag(dot) << std::endl ;
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}
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}
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// src = evec[0]+evec[1]+evec[2];
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// mass += -0.1;
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#endif
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//**********************************************************************
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//orthogonalization
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//calculat the matrix
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cout << "Start orthogonalization " << endl;
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cout << "calculate the matrix element" << endl;
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vector<LatticeFermion> G5R5Mevec(Nconv, FGrid);
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vector<LatticeFermion> finalevec(Nconv, FGrid);
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vector<RealD> eMe(Nconv), eMMe(Nconv);
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for(int i = 0; i < Nconv; i++){
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G5R5Herm.HermOpAndNorm(evec[i], G5R5Mevec[i], eMe[i], eMMe[i]);
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}
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cout << "Re<evec, G5R5M(evec)>: " << endl;
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cout << eMe << endl;
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cout << "<G5R5M(evec), G5R5M(evec)>" << endl;
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cout << eMMe << endl;
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vector<vector<ComplexD>> VevecG5R5Mevec(Nconv);
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Eigen::MatrixXcd evecG5R5Mevec = Eigen::MatrixXcd::Zero(Nconv, Nconv);
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for(int i = 0; i < Nconv; i++){
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VevecG5R5Mevec[i].resize(Nconv);
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for(int j = 0; j < Nconv; j++){
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VevecG5R5Mevec[i][j] = innerProduct(evec[i], G5R5Mevec[j]);
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evecG5R5Mevec(i, j) = VevecG5R5Mevec[i][j];
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}
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}
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//calculate eigenvector
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cout << "Eigen solver" << endl;
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Eigen::SelfAdjointEigenSolver<Eigen::MatrixXcd> eigensolver(evecG5R5Mevec);
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vector<RealD> eigeneval(Nconv);
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vector<vector<ComplexD>> eigenevec(Nconv);
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for(int i = 0; i < Nconv; i++){
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eigeneval[i] = eigensolver.eigenvalues()[i];
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eigenevec[i].resize(Nconv);
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for(int j = 0; j < Nconv; j++){
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eigenevec[i][j] = eigensolver.eigenvectors()(i, j);
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}
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}
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//rotation
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cout << "Do rotation" << endl;
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for(int i = 0; i < Nconv; i++){
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finalevec[i] = finalevec[i] - finalevec[i];
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for(int j = 0; j < Nconv; j++){
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finalevec[i] = eigenevec[j][i]*evec[j] + finalevec[i];
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}
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}
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//normalize again;
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for(int i = 0; i < Nconv; i++){
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RealD tmp_RealD = norm2(finalevec[i]);
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tmp_RealD = 1./pow(tmp_RealD, 0.5);
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finalevec[i] = finalevec[i]*tmp_RealD;
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}
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//check
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for(int i = 0; i < Nconv; i++){
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G5R5Herm.HermOpAndNorm(finalevec[i], G5R5Mevec[i], eMe[i], eMMe[i]);
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}
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//**********************************************************************
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//sort the eigenvectors
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vector<LatticeFermion> finalevec_copy(Nconv, FGrid);
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for(int i = 0; i < Nconv; i++){
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finalevec_copy[i] = finalevec[i];
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}
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vector<RealD> eMe_copy(eMe);
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for(int i = 0; i < Nconv; i++){
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eMe[i] = fabs(eMe[i]);
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eMe_copy[i] = eMe[i];
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}
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sort(eMe_copy.begin(), eMe_copy.end());
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for(int i = 0; i < Nconv; i++){
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for(int j = 0; j < Nconv; j++){
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if(eMe[j] == eMe_copy[i]){
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finalevec[i] = finalevec_copy[j];
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}
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}
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}
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for(int i = 0; i < Nconv; i++){
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G5R5Herm.HermOpAndNorm(finalevec[i], G5R5Mevec[i], eMe[i], eMMe[i]);
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}
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cout << "Re<evec, G5R5M(evec)>: " << endl;
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cout << eMe << endl;
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cout << "<G5R5M(evec), G5R5M(evec)>" << endl;
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cout << eMMe << endl;
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// vector<LatticeFermion> finalevec(Nconv, FGrid);
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// temporary, until doing rotation
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// for(int i = 0; i < Nconv; i++)
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// finalevec[i]=evec[i];
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//**********************************************************************
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//calculate chirality matrix
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vector<LatticeFermion> G5evec(Nconv, FGrid);
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vector<vector<ComplexD>> chiral_matrix(Nconv);
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vector<vector<RealD>> chiral_matrix_real(Nconv);
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for(int i = 0; i < Nconv; i++){
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// G5evec[i] = G5evec[i] - G5evec[i];
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G5evec[i] = Zero();
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for(int j = 0; j < Ls/2; j++){
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axpby_ssp(G5evec[i], 1., finalevec[i], 0., G5evec[i], j, j);
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}
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for(int j = Ls/2; j < Ls; j++){
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axpby_ssp(G5evec[i], -1., finalevec[i], 0., G5evec[i], j, j);
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}
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}
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for(int i = 0; i < Nconv; i++){
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chiral_matrix_real[i].resize(Nconv);
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chiral_matrix[i].resize(Nconv);
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for(int j = 0; j < Nconv; j++){
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chiral_matrix[i][j] = innerProduct(finalevec[i], G5evec[j]);
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chiral_matrix_real[i][j] = abs(chiral_matrix[i][j]);
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std::cout <<" chiral_matrix_real "<<i<<" "<<j<<" "<< chiral_matrix_real[i][j] << std::endl;
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}
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}
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for(int i = 0; i < Nconv; i++){
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if(chiral_matrix[i][i].real() < 0.){
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chiral_matrix_real[i][i] = -1. * chiral_matrix_real[i][i];
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}
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}
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Grid_finalize();
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}
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