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Debugging force term
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Guido Cossu
@ -50,7 +50,12 @@ int main (int argc, char ** argv)
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std::vector<int> seeds({1,2,3,4});
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GridParallelRNG pRNG(&Grid);
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pRNG.SeedFixedIntegers(std::vector<int>({45,12,81,9}));
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std::vector<int> vrand(4);
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std::srand(std::time(0));
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std::generate(vrand.begin(), vrand.end(), std::rand);
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std::cout << GridLogMessage << vrand << std::endl;
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pRNG.SeedFixedIntegers(vrand);
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//pRNG.SeedFixedIntegers(std::vector<int>({45,12,81,9}));
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LatticeFermion phi (&Grid); gaussian(pRNG,phi);
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LatticeFermion Mphi (&Grid);
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209
tests/forces/Test_wilsonclover_force.cc
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209
tests/forces/Test_wilsonclover_force.cc
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@ -0,0 +1,209 @@
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/*************************************************************************************
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Grid physics library, www.github.com/paboyle/Grid
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Source file: ./tests/Test_wilson_force.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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using namespace std;
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using namespace Grid;
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using namespace Grid::QCD;
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int main(int argc, char **argv)
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{
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Grid_init(&argc, &argv);
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std::vector<int> latt_size = GridDefaultLatt();
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std::vector<int> simd_layout = GridDefaultSimd(Nd, vComplex::Nsimd());
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std::vector<int> mpi_layout = GridDefaultMpi();
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GridCartesian Grid(latt_size, simd_layout, mpi_layout);
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GridRedBlackCartesian RBGrid(&Grid);
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int threads = GridThread::GetThreads();
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std::cout << GridLogMessage << "Grid is setup to use " << threads << " threads" << std::endl;
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std::vector<int> seeds({1, 2, 3, 4});
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GridParallelRNG pRNG(&Grid);
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std::vector<int> vrand(4);
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std::srand(std::time(0));
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std::generate(vrand.begin(), vrand.end(), std::rand);
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std::cout << GridLogMessage << vrand << std::endl;
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pRNG.SeedFixedIntegers(vrand);
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LatticeFermion phi(&Grid);
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gaussian(pRNG, phi);
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LatticeFermion Mphi(&Grid);
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LatticeFermion MphiPrime(&Grid);
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LatticeGaugeField U(&Grid);
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SU3::HotConfiguration(pRNG,U);
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//SU3::ColdConfiguration(pRNG, U);
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////////////////////////////////////
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// Unmodified matrix element
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////////////////////////////////////
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RealD mass = -4.0; //kills the diagonal term
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Real csw = 1.0;
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WilsonCloverFermionR Dw(U, Grid, RBGrid, mass, csw);
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Dw.M(phi, Mphi);
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ComplexD S = innerProduct(Mphi, Mphi); // Action : pdag MdagM p
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// get the deriv of phidag MdagM phi with respect to "U"
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LatticeGaugeField UdSdU(&Grid);
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LatticeGaugeField tmp(&Grid);
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Dw.MDeriv(tmp, Mphi, phi, DaggerNo); UdSdU = tmp;
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Dw.MDeriv(tmp, phi, Mphi, DaggerYes); UdSdU += tmp;
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// Take the traceless antihermitian component
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UdSdU = Ta(UdSdU);
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////////////////////////////////////
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// Modify the gauge field a little
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////////////////////////////////////
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RealD dt = 0.0001;
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RealD Hmom = 0.0;
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RealD Hmomprime = 0.0;
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RealD Hmompp = 0.0;
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LatticeColourMatrix mommu(&Grid);
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LatticeColourMatrix forcemu(&Grid);
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LatticeGaugeField mom(&Grid);
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LatticeGaugeField Uprime(&Grid);
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for (int mu = 0; mu < Nd; mu++) {
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// Traceless antihermitian momentum; gaussian in lie alg
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SU3::GaussianFundamentalLieAlgebraMatrix(pRNG, mommu);
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Hmom -= real(sum(trace(mommu * mommu)));
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PokeIndex<LorentzIndex>(mom, mommu, mu);
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}
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parallel_for(int ss=0;ss<mom._grid->oSites();ss++){
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for (int mu = 0; mu < Nd; mu++)
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Uprime[ss]._internal[mu] = ProjectOnGroup(Exponentiate(mom[ss]._internal[mu], dt, 12) * U[ss]._internal[mu]);
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}
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std::cout << GridLogMessage << "Initial mom hamiltonian is " << Hmom << std::endl;
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// New action
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Dw.ImportGauge(Uprime);
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Dw.M(phi, MphiPrime);
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ComplexD Sprime = innerProduct(MphiPrime, MphiPrime);
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//////////////////////////////////////////////
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// Use derivative to estimate dS
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//////////////////////////////////////////////
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///////////////////////////////////////////////////////
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std::cout << GridLogMessage << "Antihermiticity tests - 1 " << std::endl;
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for (int mu = 0; mu < Nd; mu++)
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{
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mommu = PeekIndex<LorentzIndex>(mom, mu);
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std::cout << GridLogMessage << " Mommu " << norm2(mommu) << std::endl;
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mommu = mommu + adj(mommu);
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std::cout << GridLogMessage << " Test: Mommu + Mommudag " << norm2(mommu) << std::endl;
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mommu = PeekIndex<LorentzIndex>(UdSdU, mu);
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std::cout << GridLogMessage << " dsdumu " << norm2(mommu) << std::endl;
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mommu = mommu + adj(mommu);
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std::cout << GridLogMessage << " Test: dsdumu + dag " << norm2(mommu) << std::endl;
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std::cout << "" << std::endl;
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}
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////////////////////////////////////////////////////////
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LatticeComplex dS(&Grid);
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dS = zero;
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LatticeComplex dSmom(&Grid);
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dSmom = zero;
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LatticeComplex dSmom2(&Grid);
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dSmom2 = zero;
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// need for this???
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// ultimately it is just a 2.0 factor in UdSdU
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for (int mu = 0; mu < Nd; mu++)
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{
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mommu = PeekIndex<LorentzIndex>(UdSdU, mu); // P_mu =
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mommu = Ta(mommu) * 2.0; // Mom = (P_mu - P_mu^dag) - trace(P_mu - P_mu^dag)
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PokeIndex<LorentzIndex>(UdSdU, mommu, mu); // UdSdU_mu = Mom
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}
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std::cout << GridLogMessage<< "Antihermiticity tests - 2 " << std::endl;
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for (int mu = 0; mu < Nd; mu++)
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{
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mommu = PeekIndex<LorentzIndex>(mom, mu);
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std::cout << GridLogMessage << " Mommu " << norm2(mommu) << std::endl;
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mommu = mommu + adj(mommu);
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std::cout << GridLogMessage << " Mommu + Mommudag " << norm2(mommu) << std::endl;
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mommu = PeekIndex<LorentzIndex>(UdSdU, mu);
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std::cout << GridLogMessage << " dsdumu " << norm2(mommu) << std::endl;
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mommu = mommu + adj(mommu);
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std::cout << GridLogMessage << " dsdumu + dag " << norm2(mommu) << std::endl;
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std::cout << "" << std::endl;
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}
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/////////////////////////////////////////////////////
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for (int mu = 0; mu < Nd; mu++)
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{
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forcemu = PeekIndex<LorentzIndex>(UdSdU, mu);
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mommu = PeekIndex<LorentzIndex>(mom, mu);
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// Update PF action density
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dS = dS + trace(mommu * forcemu) * dt;
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dSmom = dSmom - trace(mommu * forcemu) * dt;
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dSmom2 = dSmom2 - trace(forcemu * forcemu) * (0.25 * dt * dt);
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// Update mom action density
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mommu = mommu + forcemu * (dt * 0.5);
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Hmomprime -= real(sum(trace(mommu * mommu)));
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}
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ComplexD dSpred = sum(dS);
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ComplexD dSm = sum(dSmom);
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ComplexD dSm2 = sum(dSmom2);
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std::cout << GridLogMessage << "Initial mom hamiltonian is " << Hmom << std::endl;
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std::cout << GridLogMessage << "Final mom hamiltonian is " << Hmomprime << std::endl;
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std::cout << GridLogMessage << "Delta mom hamiltonian is " << Hmomprime - Hmom << std::endl;
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std::cout << GridLogMessage << " S " << S << std::endl;
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std::cout << GridLogMessage << " Sprime " << Sprime << std::endl;
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std::cout << GridLogMessage << "dS " << Sprime - S << std::endl;
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std::cout << GridLogMessage << "predict dS " << dSpred << std::endl;
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std::cout << GridLogMessage << "dSm " << dSm << std::endl;
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std::cout << GridLogMessage << "dSm2" << dSm2 << std::endl;
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std::cout << GridLogMessage << "Total dS " << Hmomprime - Hmom + Sprime - S << std::endl;
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assert(fabs(real(Sprime - S - dSpred)) < 1.0);
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std::cout << GridLogMessage << "Done" << std::endl;
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Grid_finalize();
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}
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