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In EOFA pseudofermion action, implemented M^{-1} (this costs the same as M for EOFA!)
Added tests/solver/Test_eofa_inv.cc to test the above In MDWF+ID GPBC binary, tests of RHMC approx for the action / MD approxs can be performed separately using a cmdline toggle
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tests/solver/Test_eofa_inv.cc
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tests/solver/Test_eofa_inv.cc
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/*************************************************************************************
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Grid physics library, www.github.com/paboyle/Grid
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Source file: ./tests/solver/Test_eofa_inv.cc
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Copyright (C) 2017
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Author: Christopher Kelly <ckelly@bnl.gov>
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Author: Peter Boyle <paboyle@ph.ed.ac.uk>
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Author: David Murphy <dmurphy@phys.columbia.edu>
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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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;
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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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Coordinate latt_size = GridDefaultLatt();
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Coordinate simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
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Coordinate mpi_layout = GridDefaultMpi();
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const int Ls = 8;
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GridCartesian *UGrid = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplex::Nsimd()), GridDefaultMpi());
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GridRedBlackCartesian *UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
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GridCartesian *FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls, UGrid);
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GridRedBlackCartesian *FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls, UGrid);
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// Want a different conf at every run
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// First create an instance of an engine.
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std::random_device rnd_device;
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// Specify the engine and distribution.
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std::mt19937 mersenne_engine(rnd_device());
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std::uniform_int_distribution<int> dist(1, 100);
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auto gen = std::bind(dist, mersenne_engine);
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std::vector<int> seeds4(4);
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generate(begin(seeds4), end(seeds4), gen);
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//std::vector<int> seeds4({1,2,3,5});
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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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int threads = GridThread::GetThreads();
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std::cout << GridLogMessage << "Grid is setup to use " << threads << " threads" << std::endl;
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LatticeFermion phi (FGrid); gaussian(RNG5, phi);
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LatticeFermion Mphi (FGrid);
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LatticeFermion MphiPrime (FGrid);
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LatticeGaugeField U(UGrid);
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SU<Nc>::HotConfiguration(RNG4,U);
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////////////////////////////////////
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// Unmodified matrix element
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////////////////////////////////////
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RealD b = 2.5;
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RealD c = 1.5;
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RealD mf = 0.01;
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RealD mb = 1.0;
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RealD M5 = 1.8;
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MobiusEOFAFermionR Lop(U, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mf, mf, mb, 0.0, -1, M5, b, c);
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MobiusEOFAFermionR Rop(U, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mb, mf, mb, -1.0, 1, M5, b, c);
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OneFlavourRationalParams Params(0.95, 100.0, 5000, 1.0e-10, 12);
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ConjugateGradient<LatticeFermion> CG(1.0e-10, 5000);
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ExactOneFlavourRatioPseudoFermionAction<WilsonImplR> Meofa(Lop, Rop, CG, CG, CG, CG, CG, Params, false);
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GridSerialRNG sRNG; sRNG.SeedFixedIntegers(seeds4);
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//Random field
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LatticeFermion eta(FGrid);
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gaussian(RNG5,eta);
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//Check left inverse
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LatticeFermion Meta(FGrid);
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Meofa.Meofa(U, eta, Meta);
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LatticeFermion MinvMeta(FGrid);
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Meofa.MeofaInv(U, Meta, MinvMeta);
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LatticeFermion diff = MinvMeta - eta;
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std::cout << GridLogMessage << "eta: " << norm2(eta) << " M*eta: " << norm2(Meta) << " M^{-1}*M*eta: " << norm2(MinvMeta) << " M^{-1}*M*eta - eta: " << norm2(diff) << " (expect 0)" << std::endl;
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assert(norm2(diff) < 1e-8);
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//Check right inverse
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LatticeFermion MinvEta(FGrid);
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Meofa.MeofaInv(U, eta, MinvEta);
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LatticeFermion MMinvEta(FGrid);
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Meofa.Meofa(U, MinvEta, MMinvEta);
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diff = MMinvEta - eta;
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std::cout << GridLogMessage << "eta: " << norm2(eta) << " M^{-1}*eta: " << norm2(MinvEta) << " M*M^{-1}*eta: " << norm2(MMinvEta) << " M*M^{-1}*eta - eta: " << norm2(diff) << " (expect 0)" << std::endl;
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assert(norm2(diff) < 1e-8);
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std::cout << GridLogMessage << "Done" << std::endl;
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Grid_finalize();
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}
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