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feature/a2a-offload
Grid/tests/forces/Test_dwf_gpforce.cc

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/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./tests/Test_dwf_gpforce.cc
Copyright (C) 2015
Author: paboyle <paboyle@ph.ed.ac.uk>
This program is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License along
with this program; if not, write to the Free Software Foundation, Inc.,
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
See the full license in the file "LICENSE" in the top level distribution directory
*************************************************************************************/
/* END LEGAL */
#include <Grid/Grid.h>
using namespace std;
using namespace Grid;
;
int main (int argc, char ** argv)
{
Grid_init(&argc,&argv);
Coordinate latt_size = GridDefaultLatt();
Coordinate simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
Coordinate mpi_layout = GridDefaultMpi();
const int Ls=8;
GridCartesian * UGrid = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplex::Nsimd()),GridDefaultMpi());
GridRedBlackCartesian * UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
GridCartesian * FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls,UGrid);
GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGrid);
typedef typename GparityDomainWallFermionR::FermionField FermionField;
int threads = GridThread::GetThreads();
std::cout<<GridLogMessage << "Grid is setup to use "<<threads<<" threads"<<std::endl;
std::vector<int> seeds({1,2,3,4});
GridParallelRNG RNG5(FGrid); RNG5.SeedFixedIntegers(std::vector<int>({45,12,81,9}));
GridParallelRNG RNG4(UGrid); RNG4.SeedFixedIntegers(std::vector<int>({45,12,81,9}));
FermionField phi (FGrid); gaussian(RNG5,phi);
FermionField Mphi (FGrid);
FermionField MphiPrime (FGrid);
LatticeGaugeField U(UGrid);
SU3::HotConfiguration(RNG4,U);
// SU3::ColdConfiguration(pRNG,U);
////////////////////////////////////
// Unmodified matrix element
////////////////////////////////////
RealD mass=0.2; //kills the diagonal term
RealD M5=1.8;
// const int nu = 3;
// std::vector<int> twists(Nd,0); // twists[nu] = 1;
// GparityDomainWallFermionR::ImplParams params; params.twists = twists;
// GparityDomainWallFermionR Ddwf(U,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5,params);
// DomainWallFermionR Dw (U, Grid,RBGrid,mass,M5);
const int nu = 3;
std::vector<int> twists(Nd,0);
twists[nu] = 1;
GparityDomainWallFermionR::ImplParams params;
params.twists = twists;
GparityDomainWallFermionR Dw(U,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5,params);
Dw.M (phi,Mphi);
ComplexD S = innerProduct(Mphi,Mphi); // pdag MdagM p
// get the deriv of phidag MdagM phi with respect to "U"
LatticeGaugeField UdSdU(UGrid);
LatticeGaugeField tmp(UGrid);
Dw.MDeriv(tmp , Mphi, phi,DaggerNo ); UdSdU=tmp;
Dw.MDeriv(tmp , phi, Mphi,DaggerYes ); UdSdU=(UdSdU+tmp);
FermionField Ftmp (FGrid);
////////////////////////////////////
// Modify the gauge field a little
////////////////////////////////////
RealD dt = 0.0001;
RealD Hmom = 0.0;
RealD Hmomprime = 0.0;
LatticeColourMatrix mommu(UGrid);
LatticeColourMatrix forcemu(UGrid);
LatticeGaugeField mom(UGrid);
LatticeGaugeField Uprime(UGrid);
for(int mu=0;mu<Nd;mu++){
SU3::GaussianFundamentalLieAlgebraMatrix(RNG4, mommu); // Traceless antihermitian momentum; gaussian in lie alg
Hmom -= real(sum(trace(mommu*mommu)));
PokeIndex<LorentzIndex>(mom,mommu,mu);
// fourth order exponential approx
autoView( mom_v, mom, CpuRead);
autoView( U_v , U, CpuRead);
autoView(Uprime_v, Uprime, CpuWrite);
thread_foreach(i,mom_v,{
Uprime_v[i](mu) = U_v[i](mu)
+ mom_v[i](mu)*U_v[i](mu)*dt
+ mom_v[i](mu) *mom_v[i](mu) *U_v[i](mu)*(dt*dt/2.0)
+ mom_v[i](mu) *mom_v[i](mu) *mom_v[i](mu) *U_v[i](mu)*(dt*dt*dt/6.0)
+ mom_v[i](mu) *mom_v[i](mu) *mom_v[i](mu) *mom_v[i](mu) *U_v[i](mu)*(dt*dt*dt*dt/24.0)
+ mom_v[i](mu) *mom_v[i](mu) *mom_v[i](mu) *mom_v[i](mu) *mom_v[i](mu) *U_v[i](mu)*(dt*dt*dt*dt*dt/120.0)
+ mom_v[i](mu) *mom_v[i](mu) *mom_v[i](mu) *mom_v[i](mu) *mom_v[i](mu) *mom_v[i](mu) *U_v[i](mu)*(dt*dt*dt*dt*dt*dt/720.0)
;
});
}
std::cout << GridLogMessage <<"Initial mom hamiltonian is "<< Hmom <<std::endl;
Dw.ImportGauge(Uprime);
Dw.M (phi,MphiPrime);
ComplexD Sprime = innerProduct(MphiPrime ,MphiPrime);
//////////////////////////////////////////////
// Use derivative to estimate dS
//////////////////////////////////////////////
for(int mu=0;mu<Nd;mu++){
std::cout << "" <<std::endl;
mommu = PeekIndex<LorentzIndex>(mom,mu);
std::cout << GridLogMessage<< " Mommu " << norm2(mommu)<<std::endl;
mommu = mommu+adj(mommu);
std::cout << GridLogMessage<< " Mommu + Mommudag " << norm2(mommu)<<std::endl;
mommu = PeekIndex<LorentzIndex>(UdSdU,mu);
std::cout << GridLogMessage<< " dsdumu " << norm2(mommu)<<std::endl;
mommu = mommu+adj(mommu);
std::cout << GridLogMessage<< " dsdumu + dag " << norm2(mommu)<<std::endl;
}
LatticeComplex dS(UGrid); dS = Zero();
LatticeComplex dSmom(UGrid); dSmom = Zero();
LatticeComplex dSmom2(UGrid); dSmom2 = Zero();
for(int mu=0;mu<Nd;mu++){
mommu = PeekIndex<LorentzIndex>(UdSdU,mu);
mommu=Ta(mommu)*2.0;
PokeIndex<LorentzIndex>(UdSdU,mommu,mu);
}
for(int mu=0;mu<Nd;mu++){
mommu = PeekIndex<LorentzIndex>(mom,mu);
std::cout << GridLogMessage<< " Mommu " << norm2(mommu)<<std::endl;
mommu = mommu+adj(mommu);
std::cout << GridLogMessage<< " Mommu + Mommudag " << norm2(mommu)<<std::endl;
mommu = PeekIndex<LorentzIndex>(UdSdU,mu);
std::cout << GridLogMessage<< " dsdumu " << norm2(mommu)<<std::endl;
mommu = mommu+adj(mommu);
std::cout << GridLogMessage<< " dsdumu + dag " << norm2(mommu)<<std::endl;
}
for(int mu=0;mu<Nd;mu++){
forcemu = PeekIndex<LorentzIndex>(UdSdU,mu);
mommu = PeekIndex<LorentzIndex>(mom,mu);
// Update PF action density
dS = dS+trace(mommu*forcemu)*dt;
dSmom = dSmom - trace(mommu*forcemu) * dt;
dSmom2 = dSmom2 - trace(forcemu*forcemu) *(0.25* dt*dt);
// Update mom action density
mommu = mommu + forcemu*(dt*0.5);
Hmomprime -= real(sum(trace(mommu*mommu)));
}
ComplexD dSpred = sum(dS);
ComplexD dSm = sum(dSmom);
ComplexD dSm2 = sum(dSmom2);
std::cout << GridLogMessage <<"Initial mom hamiltonian is "<< Hmom <<std::endl;
std::cout << GridLogMessage <<"Final mom hamiltonian is "<< Hmomprime <<std::endl;
std::cout << GridLogMessage <<"Delta mom hamiltonian is "<< Hmomprime-Hmom <<std::endl;
std::cout << GridLogMessage << " S "<<S<<std::endl;
std::cout << GridLogMessage << " Sprime "<<Sprime<<std::endl;
std::cout << GridLogMessage << "dS "<<Sprime-S<<std::endl;
std::cout << GridLogMessage << "predict dS "<< dSpred <<std::endl;
std::cout << GridLogMessage <<"dSm "<< dSm<<std::endl;
std::cout << GridLogMessage <<"dSm2"<< dSm2<<std::endl;
std::cout << GridLogMessage << "Total dS "<< Hmomprime - Hmom + Sprime - S <<std::endl;
assert( fabs(real(Sprime-S-dSpred)) < 5.0 ) ;
std::cout<< GridLogMessage << "Done" <<std::endl;
Grid_finalize();
}
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