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224 lines
7.1 KiB
C++
224 lines
7.1 KiB
C++
/*************************************************************************************
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Grid physics library, www.github.com/paboyle/Grid
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Source file: ./tests/Test_gamma.cc
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Copyright (C) 2015
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Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
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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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//template<class vobj> class is_pod< iScalar<vobj> >
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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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{
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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(4,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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GridParallelRNG pRNG(&Grid);
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pRNG.SeedRandomDevice();
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GridSerialRNG sRNG;
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sRNG.SeedRandomDevice();
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SpinMatrix ident; ident=zero;
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SpinMatrix rnd ; random(sRNG,rnd);
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SpinMatrix ll; ll=zero;
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SpinMatrix rr; rr=zero;
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SpinMatrix result;
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SpinVector lv; random(sRNG,lv);
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SpinVector rv; random(sRNG,rv);
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// std::cout<<GridLogMessage << " Is pod " << std::is_pod<SpinVector>::value << std::endl;
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// std::cout<<GridLogMessage << " Is pod double " << std::is_pod<double>::value << std::endl;
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// std::cout<<GridLogMessage << " Is pod ComplexF " << std::is_pod<ComplexF>::value << std::endl;
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// std::cout<<GridLogMessage << " Is triv double " << std::has_trivial_default_constructor<double>::value << std::endl;
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// std::cout<<GridLogMessage << " Is triv ComplexF " << std::has_trivial_default_constructor<ComplexF>::value << std::endl;
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// std::cout<<GridLogMessage << " Is pod Scalar<double> " << std::is_pod<iScalar<double> >::value << std::endl;
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// std::cout<<GridLogMessage << " Is pod Scalar<ComplexF> " << std::is_pod<iScalar<ComplexF> >::value << std::endl;
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// std::cout<<GridLogMessage << " Is pod Scalar<vComplexF> " << std::is_pod<iScalar<vComplexF> >::value << std::endl;
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// std::cout<<GridLogMessage << " Is pod Scalar<vComplexD> " << std::is_pod<iScalar<vComplexD> >::value << std::endl;
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// std::cout<<GridLogMessage << " Is pod Scalar<vRealF> " << std::is_pod<iScalar<vRealF> >::value << std::endl;
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// std::cout<<GridLogMessage << " Is pod Scalar<vRealD> " << std::is_pod<iScalar<vRealD> >::value << std::endl;
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// std::cout<<GridLogMessage << " Is triv Scalar<double> " <<std::has_trivial_default_constructor<iScalar<double> >::value << std::endl;
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// std::cout<<GridLogMessage << " Is triv Scalar<vComplexD> "<<std::has_trivial_default_constructor<iScalar<vComplexD> >::value << std::endl;
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for(int a=0;a<Ns;a++){
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ident()(a,a) = ComplexF(1.0);
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}
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const Gamma::GammaMatrix *g = Gamma::GammaMatrices;
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const char **list = Gamma::GammaMatrixNames;
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result =ll*Gamma(g[0])*rr;
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result =ll*Gamma(g[0]);
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rv = Gamma(g[0])*lv;
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for(int mu=0;mu<12;mu++){
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result = Gamma(g[mu])* ident;
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for(int i=0;i<Ns;i++){
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if(i==0) std::cout<<GridLogMessage << list[mu];
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else std::cout<<GridLogMessage << list[12];
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std::cout<<"(";
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for(int j=0;j<Ns;j++){
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if ( abs(result()(i,j)())==0 ) {
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std::cout<< " 0";
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} else if ( abs(result()(i,j)() - Complex(0,1))==0){
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std::cout<< " i";
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} else if ( abs(result()(i,j)() + Complex(0,1))==0){
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std::cout<< "-i";
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} else if ( abs(result()(i,j)() - Complex(1,0))==0){
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std::cout<< " 1";
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} else if ( abs(result()(i,j)() + Complex(1,0))==0){
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std::cout<< "-1";
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}
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std::cout<<((j==Ns-1) ? ")" : "," );
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}
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std::cout << std::endl;
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}
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std::cout << std::endl;
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}
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std::cout << "Testing Gamma^2 - 1 = 0"<<std::endl;
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for(int mu=0;mu<6;mu++){
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result = Gamma(g[mu])* ident * Gamma(g[mu]);
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result = result - ident;
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RealD mag = norm2(result);
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std::cout << list[mu]<<" " << mag<<std::endl;
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}
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std::cout << "Testing (MinusGamma + G )M = 0"<<std::endl;
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for(int mu=0;mu<6;mu++){
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result = rnd * Gamma(g[mu]);
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result = result + rnd * Gamma(g[mu+6]);
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RealD mag = norm2(result);
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std::cout << list[mu]<<" " << mag<<std::endl;
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}
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std::cout << "Testing M(MinusGamma + G ) = 0"<<std::endl;
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for(int mu=0;mu<6;mu++){
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result = Gamma(g[mu]) *rnd;
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result = result + Gamma(g[mu+6])*rnd;
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RealD mag = norm2(result);
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std::cout << list[mu]<<" " << mag<<std::endl;
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}
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// Testing spins and reconstructs
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SpinVector recon; random(sRNG,rv);
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SpinVector full;
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HalfSpinVector hsp,hsm;
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// Xp
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double mag;
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spProjXp(hsm,rv);
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spReconXp(recon,hsm);
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full = rv + Gamma(Gamma::GammaX) *rv;
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mag = TensorRemove(norm2(full-recon));
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std::cout << "Xp "<< mag<<std::endl;
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// Xm
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spProjXm(hsm,rv);
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spReconXm(recon,hsm);
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full = rv - Gamma(Gamma::GammaX) *rv;
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mag = TensorRemove(norm2(full-recon));
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std::cout << "Xm "<< mag<<std::endl;
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// Yp
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spProjYp(hsm,rv);
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spReconYp(recon,hsm);
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full = rv + Gamma(Gamma::GammaY) *rv;
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mag = TensorRemove(norm2(full-recon));
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std::cout << "Yp "<< mag<<std::endl;
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// Ym
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spProjYm(hsm,rv);
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spReconYm(recon,hsm);
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full = rv - Gamma(Gamma::GammaY) *rv;
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mag = TensorRemove(norm2(full-recon));
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std::cout << "Ym "<< mag<<std::endl;
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// Zp
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spProjZp(hsm,rv);
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spReconZp(recon,hsm);
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full = rv + Gamma(Gamma::GammaZ) *rv;
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mag = TensorRemove(norm2(full-recon));
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std::cout << "Zp "<< mag<<std::endl;
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// Zm
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spProjZm(hsm,rv);
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spReconZm(recon,hsm);
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full = rv - Gamma(Gamma::GammaZ) *rv;
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mag = TensorRemove(norm2(full-recon));
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std::cout << "Zm "<< mag<<std::endl;
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// Tp
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spProjTp(hsm,rv);
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spReconTp(recon,hsm);
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full = rv + Gamma(Gamma::GammaT) *rv;
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mag = TensorRemove(norm2(full-recon));
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std::cout << "Tp "<< mag<<std::endl;
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// Tm
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spProjTm(hsm,rv);
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spReconTm(recon,hsm);
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full = rv - Gamma(Gamma::GammaT) *rv;
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mag = TensorRemove(norm2(full-recon));
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std::cout << "Tm "<< mag<<std::endl;
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// 5p
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spProj5p(hsm,rv);
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spRecon5p(recon,hsm);
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full = rv + Gamma(Gamma::Gamma5) *rv;
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mag = TensorRemove(norm2(full-recon));
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std::cout << "5p "<< mag<<std::endl;
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// 5m
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spProj5m(hsm,rv);
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spRecon5m(recon,hsm);
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full = rv - Gamma(Gamma::Gamma5) *rv;
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mag = TensorRemove(norm2(full-recon));
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std::cout << "5m "<< mag<<std::endl;
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Grid_finalize();
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}
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