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				https://github.com/paboyle/Grid.git
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	Two flavour HMC for Wilson/Wilson is conserving energy.
Still to check plaq and <e(-dH)>, but nevertheless this is progress
This commit is contained in:
		@@ -63,7 +63,6 @@ namespace Grid{
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	}
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      }
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      void update_U(LatticeLorentzColourMatrix&U, double ep){
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	//rewrite exponential to deal automatically  with the lorentz index?
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	LatticeColourMatrix Umu(U._grid);
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@@ -77,7 +76,6 @@ namespace Grid{
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      }
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      friend void IntegratorAlgorithm::step (LatticeLorentzColourMatrix& U, 
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					     int level, std::vector<int>& clock,
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@@ -92,9 +90,9 @@ namespace Grid{
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      ~Integrator(){}
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      //Initialization of momenta and actions
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      void init(LatticeLorentzColourMatrix& U){
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	std::cout<<GridLogMessage<< "Integrator init\n";
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	MDutils::generate_momenta(*P,pRNG);
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@@ -105,7 +103,6 @@ namespace Grid{
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	}
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      }
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      // Calculate action
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      RealD S(LatticeLorentzColourMatrix& U){
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	LatticeComplex Hloc(U._grid);
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@@ -119,12 +116,14 @@ namespace Grid{
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	RealD H = Hsum.real();
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	std::cout<<GridLogMessage << "H_p = "<< H << "\n";
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	std::cout<<GridLogMessage << "Momentum action H_p = "<< H << "\n";
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	// Actions
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	for(int level=0; level<as.size(); ++level)
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	  for(int actionID=0; actionID<as.at(level).size(); ++actionID)
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	    H += as[level].at(actionID)->S(U);
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	std::cout<<GridLogMessage << "Total action H = "<< H << "\n";
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	return H;
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      }
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@@ -32,8 +32,7 @@ namespace Grid{
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	int fin = Integ->Nrel[0];
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	for(int l=1; l<=level; ++l) fin*= 2.0*Integ->Nrel[l];
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	fin = 3*Integ->Params.MDsteps*fin -1;
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	for(int e=0; e<Integ->Nrel[level]; ++e){
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	  if(clock[level] == 0){    // initial half step 
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@@ -45,7 +44,6 @@ namespace Grid{
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	  if(level == fl){          // lowest level 
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	    Integ->update_U(U,0.5*eps);
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	    for(int l=0; l<level;++l) std::cout<<GridLogMessage<<"   ";
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	    std::cout<<GridLogMessage<<"U "<< (clock[level]+1) <<std::endl;
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	  }else{                 // recursive function call 
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@@ -81,9 +79,7 @@ namespace Grid{
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	    std::cout<<GridLogMessage<<"P "<< clock[level] <<std::endl;
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	  }
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	}
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      }
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    };
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@@ -93,6 +89,7 @@ namespace Grid{
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      void step (LatticeLorentzColourMatrix& U, 
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		 int level, std::vector<int>& clock,
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		 Integrator<LeapFrog>* Integ){
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	// level  : current level
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	// fl     : final level
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	// eps    : current step size
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@@ -115,6 +112,7 @@ namespace Grid{
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	    for(int l=0; l<level;++l) std::cout<<GridLogMessage<<"   ";
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	    std::cout<<GridLogMessage<<"P "<< 0.5*clock[level] <<std::endl;
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	  }
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	  if(level == fl){          // lowest level
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	    Integ->update_U(U, eps);
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	    for(int l=0; l<level;++l) std::cout<<GridLogMessage<<"   ";
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@@ -122,24 +120,21 @@ namespace Grid{
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	  }else{                 // recursive function call
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	    step(U, level+1,clock, Integ);
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	  }
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	  if(clock[level] == fin){  // final half step
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	    Integ->update_P(U, level,eps/2.0);
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	    ++clock[level];
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	    for(int l=0; l<level;++l) std::cout<<GridLogMessage<<"   ";
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	    std::cout<<GridLogMessage<<"P "<< 0.5*clock[level] <<std::endl;
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	  }else{                  // bulk step
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	    Integ->update_P(U, level,eps);
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	    clock[level]+=2;
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	    for(int l=0; l<level;++l) std::cout<<GridLogMessage<<"   ";
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	    std::cout<<GridLogMessage<<"P "<< 0.5*clock[level] <<std::endl;
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	  }
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	}
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      }
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    };
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@@ -65,6 +65,18 @@ namespace Grid{
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	for(int a=0; a<as[level].size(); ++a){
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	  LatticeLorentzColourMatrix force(U._grid);
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	  as[level].at(a)->deriv(U,force);
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	  Complex dSdt=0.0;
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	  for(int mu=0;mu<Nd;mu++){
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	    LatticeColourMatrix forcemu(U._grid);
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	    LatticeColourMatrix mommu(U._grid);
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	    forcemu=PeekIndex<LorentzIndex>(force,mu);
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	    mommu=PeekIndex<LorentzIndex>(*P,mu);
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	    dSdt += sum(trace(forcemu*(*P)));
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	  }	  
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	  std::cout << GridLogMessage << " action "<<level<<","<<a<<" dSdt "<< dSdt << " dt "<<ep  <<std::endl;
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	  *P -= force*ep;
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	}
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      }
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