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531 lines
18 KiB
C++
531 lines
18 KiB
C++
/*************************************************************************************
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Grid physics library, www.github.com/paboyle/Grid
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Source file: ./tests/core/Test_wilson_clover.cc
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Copyright (C) 2015
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Author: Guido Cossu <guido.cossu@ed.ac.uk>
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Fabian Joswig <fabian.joswig@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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int main(int argc, char **argv)
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{
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Grid_init(&argc, &argv);
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auto latt_size = GridDefaultLatt();
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auto simd_layout = GridDefaultSimd(Nd, vComplex::Nsimd());
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auto 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::cout << GridLogMessage << "Grid floating point word size is REALF" << sizeof(RealF) << std::endl;
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std::cout << GridLogMessage << "Grid floating point word size is REALD" << sizeof(RealD) << std::endl;
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std::cout << GridLogMessage << "Grid floating point word size is REAL" << sizeof(Real) << 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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pRNG.SeedFixedIntegers(seeds);
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// pRNG.SeedFixedIntegers(std::vector<int>({45,12,81,9});
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typedef typename WilsonCloverFermionD::FermionField FermionField;
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typename WilsonCloverFermionD::ImplParams params;
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WilsonAnisotropyCoefficients anis;
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FermionField src(&Grid);
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random(pRNG, src);
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FermionField result(&Grid);
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result = Zero();
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FermionField result2(&Grid);
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result2 = Zero();
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FermionField ref(&Grid);
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ref = Zero();
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FermionField tmp(&Grid);
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tmp = Zero();
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FermionField err(&Grid);
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err = Zero();
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FermionField phi(&Grid);
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random(pRNG, phi);
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FermionField chi(&Grid);
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random(pRNG, chi);
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LatticeGaugeField Umu(&Grid);
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SU<Nc>::HotConfiguration(pRNG, Umu);
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std::vector<LatticeColourMatrix> U(4, &Grid);
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double tolerance = 1e-4;
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double volume = 1;
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for (int mu = 0; mu < Nd; mu++)
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{
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volume = volume * latt_size[mu];
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}
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RealD mass = 0.1;
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RealD csw_r = 1.0;
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RealD csw_t = 1.0;
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WilsonCloverFermionD Dwc(Umu, Grid, RBGrid, mass, csw_r, csw_t, anis, params);
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CompactWilsonCloverFermionD Dwc_compact(Umu, Grid, RBGrid, mass, csw_r, csw_t, 1.0, anis, params);
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std::cout << GridLogMessage << "==========================================================" << std::endl;
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std::cout << GridLogMessage << "= Testing that Deo + Doe = Dunprec " << std::endl;
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std::cout << GridLogMessage << "==========================================================" << std::endl;
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FermionField src_e(&RBGrid);
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FermionField src_o(&RBGrid);
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FermionField r_e(&RBGrid);
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FermionField r_o(&RBGrid);
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FermionField r_eo(&Grid);
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pickCheckerboard(Even, src_e, src);
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pickCheckerboard(Odd, src_o, src);
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Dwc.Meooe(src_e, r_o);
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std::cout << GridLogMessage << "Applied Meo" << std::endl;
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Dwc.Meooe(src_o, r_e);
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std::cout << GridLogMessage << "Applied Moe" << std::endl;
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Dwc.Dhop(src, ref, DaggerNo);
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setCheckerboard(r_eo, r_o);
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setCheckerboard(r_eo, r_e);
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err = ref - r_eo;
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std::cout << GridLogMessage << "EO norm diff\t" << norm2(err) << " (" << norm2(ref) << " - " << norm2(r_eo) << ")" << std::endl;
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assert(fabs(norm2(err)) < tolerance);
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Dwc_compact.Meooe(src_e, r_o);
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std::cout << GridLogMessage << "Applied Meo" << std::endl;
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Dwc_compact.Meooe(src_o, r_e);
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std::cout << GridLogMessage << "Applied Moe" << std::endl;
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Dwc_compact.Dhop(src, ref, DaggerNo);
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setCheckerboard(r_eo, r_o);
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setCheckerboard(r_eo, r_e);
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err = ref - r_eo;
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std::cout << GridLogMessage << "EO norm diff compact\t" << norm2(err) << " (" << norm2(ref) << " - " << norm2(r_eo) << ")" << std::endl;
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assert(fabs(norm2(err)) < tolerance);
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std::cout << GridLogMessage << "==============================================================" << std::endl;
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std::cout << GridLogMessage << "= Test Ddagger is the dagger of D by requiring " << std::endl;
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std::cout << GridLogMessage << "= < phi | Deo | chi > * = < chi | Deo^dag| phi> " << std::endl;
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std::cout << GridLogMessage << "==============================================================" << std::endl;
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FermionField chi_e(&RBGrid);
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FermionField chi_o(&RBGrid);
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FermionField dchi_e(&RBGrid);
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FermionField dchi_o(&RBGrid);
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FermionField phi_e(&RBGrid);
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FermionField phi_o(&RBGrid);
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FermionField dphi_e(&RBGrid);
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FermionField dphi_o(&RBGrid);
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pickCheckerboard(Even, chi_e, chi);
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pickCheckerboard(Odd, chi_o, chi);
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pickCheckerboard(Even, phi_e, phi);
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pickCheckerboard(Odd, phi_o, phi);
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Dwc.Meooe(chi_e, dchi_o);
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Dwc.Meooe(chi_o, dchi_e);
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Dwc.MeooeDag(phi_e, dphi_o);
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Dwc.MeooeDag(phi_o, dphi_e);
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ComplexD pDce = innerProduct(phi_e, dchi_e);
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ComplexD pDco = innerProduct(phi_o, dchi_o);
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ComplexD cDpe = innerProduct(chi_e, dphi_e);
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ComplexD cDpo = innerProduct(chi_o, dphi_o);
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std::cout << GridLogMessage << "e " << pDce << " " << cDpe << std::endl;
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std::cout << GridLogMessage << "o " << pDco << " " << cDpo << std::endl;
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std::cout << GridLogMessage << "pDce - conj(cDpo) " << pDce - conj(cDpo) << std::endl;
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std::cout << GridLogMessage << "pDco - conj(cDpe) " << pDco - conj(cDpe) << std::endl;
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Dwc_compact.Meooe(chi_e, dchi_o);
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Dwc_compact.Meooe(chi_o, dchi_e);
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Dwc_compact.MeooeDag(phi_e, dphi_o);
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Dwc_compact.MeooeDag(phi_o, dphi_e);
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pDce = innerProduct(phi_e, dchi_e);
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pDco = innerProduct(phi_o, dchi_o);
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cDpe = innerProduct(chi_e, dphi_e);
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cDpo = innerProduct(chi_o, dphi_o);
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std::cout << GridLogMessage << "e compact " << pDce << " " << cDpe << std::endl;
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std::cout << GridLogMessage << "o compact " << pDco << " " << cDpo << std::endl;
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std::cout << GridLogMessage << "pDce - conj(cDpo) compact " << pDce - conj(cDpo) << std::endl;
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std::cout << GridLogMessage << "pDco - conj(cDpe) compact " << pDco - conj(cDpe) << std::endl;
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std::cout << GridLogMessage << "==============================================================" << std::endl;
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std::cout << GridLogMessage << "= Test MeeInv Mee = 1 (if csw!=0) " << std::endl;
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std::cout << GridLogMessage << "==============================================================" << std::endl;
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pickCheckerboard(Even, chi_e, chi);
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pickCheckerboard(Odd, chi_o, chi);
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Dwc.Mooee(chi_e, src_e);
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Dwc.MooeeInv(src_e, phi_e);
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Dwc.Mooee(chi_o, src_o);
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Dwc.MooeeInv(src_o, phi_o);
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setCheckerboard(phi, phi_e);
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setCheckerboard(phi, phi_o);
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err = phi - chi;
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std::cout << GridLogMessage << "norm diff " << norm2(err) << std::endl;
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assert(fabs(norm2(err)) < tolerance);
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Dwc_compact.Mooee(chi_e, src_e);
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Dwc_compact.MooeeInv(src_e, phi_e);
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Dwc_compact.Mooee(chi_o, src_o);
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Dwc_compact.MooeeInv(src_o, phi_o);
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setCheckerboard(phi, phi_e);
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setCheckerboard(phi, phi_o);
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err = phi - chi;
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std::cout << GridLogMessage << "norm diff compact " << norm2(err) << std::endl;
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assert(fabs(norm2(err)) < tolerance);
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std::cout << GridLogMessage << "==============================================================" << std::endl;
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std::cout << GridLogMessage << "= Test MeeDag MeeInvDag = 1 (if csw!=0) " << std::endl;
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std::cout << GridLogMessage << "==============================================================" << std::endl;
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pickCheckerboard(Even, chi_e, chi);
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pickCheckerboard(Odd, chi_o, chi);
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Dwc.MooeeDag(chi_e, src_e);
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Dwc.MooeeInvDag(src_e, phi_e);
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Dwc.MooeeDag(chi_o, src_o);
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Dwc.MooeeInvDag(src_o, phi_o);
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setCheckerboard(phi, phi_e);
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setCheckerboard(phi, phi_o);
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err = phi - chi;
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std::cout << GridLogMessage << "norm diff " << norm2(err) << std::endl;
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assert(fabs(norm2(err)) < tolerance);
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Dwc_compact.MooeeDag(chi_e, src_e);
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Dwc_compact.MooeeInvDag(src_e, phi_e);
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Dwc_compact.MooeeDag(chi_o, src_o);
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Dwc_compact.MooeeInvDag(src_o, phi_o);
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setCheckerboard(phi, phi_e);
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setCheckerboard(phi, phi_o);
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err = phi - chi;
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std::cout << GridLogMessage << "norm diff compact " << norm2(err) << std::endl;
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assert(fabs(norm2(err)) < tolerance);
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std::cout << GridLogMessage << "==============================================================" << std::endl;
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std::cout << GridLogMessage << "= Test MeeInv MeeDag = 1 (if csw!=0) " << std::endl;
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std::cout << GridLogMessage << "==============================================================" << std::endl;
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pickCheckerboard(Even, chi_e, chi);
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pickCheckerboard(Odd, chi_o, chi);
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Dwc.MooeeDag(chi_e, src_e);
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Dwc.MooeeInv(src_e, phi_e);
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Dwc.MooeeDag(chi_o, src_o);
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Dwc.MooeeInv(src_o, phi_o);
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setCheckerboard(phi, phi_e);
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setCheckerboard(phi, phi_o);
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err = phi - chi;
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std::cout << GridLogMessage << "norm diff " << norm2(err) << std::endl;
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assert(fabs(norm2(err)) < tolerance);
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Dwc_compact.MooeeDag(chi_e, src_e);
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Dwc_compact.MooeeInv(src_e, phi_e);
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Dwc_compact.MooeeDag(chi_o, src_o);
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Dwc_compact.MooeeInv(src_o, phi_o);
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setCheckerboard(phi, phi_e);
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setCheckerboard(phi, phi_o);
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err = phi - chi;
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std::cout << GridLogMessage << "norm diff compact " << norm2(err) << std::endl;
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assert(fabs(norm2(err)) < tolerance);
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std::cout << GridLogMessage << "================================================================" << std::endl;
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std::cout << GridLogMessage << "= Testing gauge covariance Clover term with EO preconditioning " << std::endl;
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std::cout << GridLogMessage << "================================================================" << std::endl;
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chi = Zero();
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phi = Zero();
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tmp = Zero();
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pickCheckerboard(Even, chi_e, chi);
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pickCheckerboard(Odd, chi_o, chi);
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pickCheckerboard(Even, phi_e, phi);
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pickCheckerboard(Odd, phi_o, phi);
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Dwc.Mooee(src_e, chi_e);
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Dwc.Mooee(src_o, chi_o);
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setCheckerboard(chi, chi_e);
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setCheckerboard(chi, chi_o);
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setCheckerboard(src, src_e);
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setCheckerboard(src, src_o);
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////////////////////// Gauge Transformation
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std::vector<int> seeds2({5, 6, 7, 8});
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GridParallelRNG pRNG2(&Grid);
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pRNG2.SeedFixedIntegers(seeds2);
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LatticeColourMatrix Omega(&Grid);
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LatticeColourMatrix ShiftedOmega(&Grid);
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LatticeGaugeField U_prime(&Grid);
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U_prime = Zero();
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LatticeColourMatrix U_prime_mu(&Grid);
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U_prime_mu = Zero();
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SU<Nc>::LieRandomize(pRNG2, Omega, 1.0);
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for (int mu = 0; mu < Nd; mu++)
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{
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U[mu] = peekLorentz(Umu, mu);
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ShiftedOmega = Cshift(Omega, mu, 1);
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U_prime_mu = Omega * U[mu] * adj(ShiftedOmega);
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pokeLorentz(U_prime, U_prime_mu, mu);
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}
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/////////////////
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WilsonCloverFermionD Dwc_prime(U_prime, Grid, RBGrid, mass, csw_r, csw_t, anis, params);
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CompactWilsonCloverFermionD Dwc_compact_prime(U_prime, Grid, RBGrid, mass, csw_r, csw_t, 1.0, anis, params);
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tmp = Omega * src;
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pickCheckerboard(Even, src_e, tmp);
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pickCheckerboard(Odd, src_o, tmp);
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Dwc_prime.Mooee(src_e, phi_e);
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Dwc_prime.Mooee(src_o, phi_o);
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setCheckerboard(phi, phi_e);
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setCheckerboard(phi, phi_o);
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err = chi - adj(Omega) * phi;
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std::cout << GridLogMessage << "norm diff " << norm2(err) << std::endl;
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assert(fabs(norm2(err)) < tolerance);
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chi = Zero();
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phi = Zero();
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tmp = Zero();
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pickCheckerboard(Even, chi_e, chi);
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pickCheckerboard(Odd, chi_o, chi);
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pickCheckerboard(Even, phi_e, phi);
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pickCheckerboard(Odd, phi_o, phi);
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Dwc_compact.Mooee(src_e, chi_e);
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Dwc_compact.Mooee(src_o, chi_o);
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setCheckerboard(chi, chi_e);
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setCheckerboard(chi, chi_o);
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setCheckerboard(src, src_e);
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setCheckerboard(src, src_o);
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tmp = Omega * src;
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pickCheckerboard(Even, src_e, tmp);
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pickCheckerboard(Odd, src_o, tmp);
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Dwc_compact_prime.Mooee(src_e, phi_e);
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Dwc_compact_prime.Mooee(src_o, phi_o);
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setCheckerboard(phi, phi_e);
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setCheckerboard(phi, phi_o);
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err = chi - adj(Omega) * phi;
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std::cout << GridLogMessage << "norm diff compact " << norm2(err) << std::endl;
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assert(fabs(norm2(err)) < tolerance);
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std::cout << GridLogMessage << "=================================================================" << std::endl;
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std::cout << GridLogMessage << "= Testing gauge covariance Clover term w/o EO preconditioning " << std::endl;
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std::cout << GridLogMessage << "================================================================" << std::endl;
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chi = Zero();
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phi = Zero();
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WilsonFermionD Dw(Umu, Grid, RBGrid, mass, params);
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Dw.M(src, result);
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Dwc.M(src, chi);
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Dwc_prime.M(Omega * src, phi);
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WilsonFermionD Dw_prime(U_prime, Grid, RBGrid, mass, params);
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Dw_prime.M(Omega * src, result2);
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err = result - adj(Omega) * result2;
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std::cout << GridLogMessage << "norm diff Wilson " << norm2(err) << std::endl;
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assert(fabs(norm2(err)) < tolerance);
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err = chi - adj(Omega) * phi;
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std::cout << GridLogMessage << "norm diff WilsonClover " << norm2(err) << std::endl;
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assert(fabs(norm2(err)) < tolerance);
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chi = Zero();
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phi = Zero();
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Dwc_compact.M(src, chi);
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Dwc_compact_prime.M(Omega * src, phi);
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err = chi - adj(Omega) * phi;
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std::cout << GridLogMessage << "norm diff CompactWilsonClover " << norm2(err) << std::endl;
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assert(fabs(norm2(err)) < tolerance);
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std::cout << GridLogMessage << "==========================================================" << std::endl;
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std::cout << GridLogMessage << "= Testing Mooee(csw=0) Clover to reproduce Mooee Wilson " << std::endl;
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std::cout << GridLogMessage << "==========================================================" << std::endl;
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chi = Zero();
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phi = Zero();
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err = Zero();
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WilsonCloverFermionD Dwc_csw0(Umu, Grid, RBGrid, mass, 0.0, 0.0, anis, params); // <-- Notice: csw=0
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pickCheckerboard(Even, phi_e, phi);
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pickCheckerboard(Odd, phi_o, phi);
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pickCheckerboard(Even, chi_e, chi);
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pickCheckerboard(Odd, chi_o, chi);
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Dw.Mooee(src_e, chi_e);
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Dw.Mooee(src_o, chi_o);
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Dwc_csw0.Mooee(src_e, phi_e);
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Dwc_csw0.Mooee(src_o, phi_o);
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setCheckerboard(chi, chi_e);
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setCheckerboard(chi, chi_o);
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setCheckerboard(phi, phi_e);
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setCheckerboard(phi, phi_o);
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setCheckerboard(src, src_e);
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setCheckerboard(src, src_o);
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err = chi - phi;
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std::cout << GridLogMessage << "norm diff " << norm2(err) << std::endl;
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assert(fabs(norm2(err)) < tolerance);
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|
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chi = Zero();
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phi = Zero();
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err = Zero();
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CompactWilsonCloverFermionD Dwc_compact_csw0(Umu, Grid, RBGrid, mass, 0.0, 0.0, 1.0, anis, params); // <-- Notice: csw=0
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pickCheckerboard(Even, phi_e, phi);
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pickCheckerboard(Odd, phi_o, phi);
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pickCheckerboard(Even, chi_e, chi);
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pickCheckerboard(Odd, chi_o, chi);
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Dw.Mooee(src_e, chi_e);
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Dw.Mooee(src_o, chi_o);
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Dwc_compact_csw0.Mooee(src_e, phi_e);
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Dwc_compact_csw0.Mooee(src_o, phi_o);
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setCheckerboard(chi, chi_e);
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setCheckerboard(chi, chi_o);
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setCheckerboard(phi, phi_e);
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setCheckerboard(phi, phi_o);
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setCheckerboard(src, src_e);
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setCheckerboard(src, src_o);
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|
|
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err = chi - phi;
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|
std::cout << GridLogMessage << "norm diff compact " << norm2(err) << std::endl;
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|
assert(fabs(norm2(err)) < tolerance);
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|
|
|
std::cout << GridLogMessage << "==========================================================" << std::endl;
|
|
std::cout << GridLogMessage << "= Testing EO operator is equal to the unprec " << std::endl;
|
|
std::cout << GridLogMessage << "==========================================================" << std::endl;
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|
|
|
chi = Zero();
|
|
phi = Zero();
|
|
err = Zero();
|
|
|
|
pickCheckerboard(Even, phi_e, phi);
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|
pickCheckerboard(Odd, phi_o, phi);
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|
pickCheckerboard(Even, chi_e, chi);
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|
pickCheckerboard(Odd, chi_o, chi);
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|
|
|
// M phi = (Mooee src_e + Meooe src_o , Meooe src_e + Mooee src_o)
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|
|
|
Dwc.M(src, ref); // Reference result from the unpreconditioned operator
|
|
|
|
// EO matrix
|
|
Dwc.Mooee(src_e, chi_e);
|
|
Dwc.Mooee(src_o, chi_o);
|
|
Dwc.Meooe(src_o, phi_e);
|
|
Dwc.Meooe(src_e, phi_o);
|
|
|
|
phi_o += chi_o;
|
|
phi_e += chi_e;
|
|
|
|
setCheckerboard(phi, phi_e);
|
|
setCheckerboard(phi, phi_o);
|
|
|
|
err = ref - phi;
|
|
std::cout << GridLogMessage << "ref (unpreconditioned operator) diff : " << norm2(ref) << std::endl;
|
|
std::cout << GridLogMessage << "phi (EO decomposition) diff : " << norm2(phi) << std::endl;
|
|
std::cout << GridLogMessage << "norm diff : " << norm2(err) << std::endl;
|
|
assert(fabs(norm2(err)) < tolerance);
|
|
|
|
chi = Zero();
|
|
phi = Zero();
|
|
err = Zero();
|
|
|
|
pickCheckerboard(Even, phi_e, phi);
|
|
pickCheckerboard(Odd, phi_o, phi);
|
|
pickCheckerboard(Even, chi_e, chi);
|
|
pickCheckerboard(Odd, chi_o, chi);
|
|
|
|
// M phi = (Mooee src_e + Meooe src_o , Meooe src_e + Mooee src_o)
|
|
|
|
Dwc_compact.M(src, ref); // Reference result from the unpreconditioned operator
|
|
|
|
// EO matrix
|
|
Dwc_compact.Mooee(src_e, chi_e);
|
|
Dwc_compact.Mooee(src_o, chi_o);
|
|
Dwc_compact.Meooe(src_o, phi_e);
|
|
Dwc_compact.Meooe(src_e, phi_o);
|
|
|
|
phi_o += chi_o;
|
|
phi_e += chi_e;
|
|
|
|
setCheckerboard(phi, phi_e);
|
|
setCheckerboard(phi, phi_o);
|
|
|
|
err = ref - phi;
|
|
std::cout << GridLogMessage << "ref (unpreconditioned operator) diff compact : " << norm2(ref) << std::endl;
|
|
std::cout << GridLogMessage << "phi (EO decomposition) diff compact : " << norm2(phi) << std::endl;
|
|
std::cout << GridLogMessage << "norm diff compact : " << norm2(err) << std::endl;
|
|
assert(fabs(norm2(err)) < tolerance);
|
|
|
|
Grid_finalize();
|
|
}
|