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113 lines
3.4 KiB
C++
113 lines
3.4 KiB
C++
#ifndef QCD_EVEN_ODD_SCHUR_DIFFERENTIABLE_H
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#define QCD_EVEN_ODD_SCHUR_DIFFERENTIABLE_H
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namespace Grid{
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namespace QCD{
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// Base even odd HMC on the normal Mee based schur decomposition.
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//
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// M = (Mee Meo) = (1 0 ) (Mee 0 ) (1 Mee^{-1} Meo)
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// (Moe Moo) (Moe Mee^-1 1 ) (0 Moo-Moe Mee^-1 Meo) (0 1 )
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//
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// Determinant is det of middle factor
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// This assumes Mee is indept of U.
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//
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template<class Impl>
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class SchurDifferentiableOperator : public SchurDiagMooeeOperator<FermionOperator<Impl>,typename Impl::FermionField>
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{
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public:
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INHERIT_IMPL_TYPES(Impl);
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typedef FermionOperator<Impl> Matrix;
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SchurDifferentiableOperator (Matrix &Mat) : SchurDiagMooeeOperator<Matrix,FermionField>(Mat) {};
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void MpcDeriv(GaugeField &Force,const FermionField &U,const FermionField &V) {
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GridBase *fgrid = this->_Mat.FermionGrid();
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GridBase *fcbgrid = this->_Mat.FermionRedBlackGrid();
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GridBase *ugrid = this->_Mat.GaugeGrid();
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GridBase *ucbgrid = this->_Mat.GaugeRedBlackGrid();
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Real coeff = 1.0;
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FermionField tmp1(fcbgrid);
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FermionField tmp2(fcbgrid);
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conformable(fcbgrid,U._grid);
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conformable(fcbgrid,V._grid);
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// Assert the checkerboard?? or code for either
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assert(U.checkerboard==Odd);
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assert(V.checkerboard==U.checkerboard);
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GaugeField ForceO(ucbgrid);
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GaugeField ForceE(ucbgrid);
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// X^dag Der_oe MeeInv Meo Y
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// Use Mooee as nontrivial but gauge field indept
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this->_Mat.Meooe (V,tmp1); // odd->even -- implicit -0.5 factor to be applied
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this->_Mat.MooeeInv(tmp1,tmp2); // even->even
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this->_Mat.MoeDeriv(ForceO,U,tmp2,DaggerNo);
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// Accumulate X^dag M_oe MeeInv Der_eo Y
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this->_Mat.MeooeDag (U,tmp1); // even->odd -- implicit -0.5 factor to be applied
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this->_Mat.MooeeInvDag(tmp1,tmp2); // even->even
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this->_Mat.MeoDeriv(ForceE,tmp2,V,DaggerNo);
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assert(ForceE.checkerboard==Even);
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assert(ForceO.checkerboard==Odd);
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setCheckerboard(Force,ForceE);
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setCheckerboard(Force,ForceO);
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Force=-Force;
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}
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void MpcDagDeriv(GaugeField &Force,const FermionField &U,const FermionField &V) {
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GridBase *fgrid = this->_Mat.FermionGrid();
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GridBase *fcbgrid = this->_Mat.FermionRedBlackGrid();
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GridBase *ugrid = this->_Mat.GaugeGrid();
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GridBase *ucbgrid = this->_Mat.GaugeRedBlackGrid();
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Real coeff = 1.0;
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FermionField tmp1(fcbgrid);
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FermionField tmp2(fcbgrid);
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conformable(fcbgrid,U._grid);
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conformable(fcbgrid,V._grid);
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// Assert the checkerboard?? or code for either
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assert(V.checkerboard==Odd);
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assert(V.checkerboard==V.checkerboard);
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GaugeField ForceO(ucbgrid);
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GaugeField ForceE(ucbgrid);
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// X^dag Der_oe MeeInv Meo Y
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// Use Mooee as nontrivial but gauge field indept
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this->_Mat.MeooeDag (V,tmp1); // odd->even -- implicit -0.5 factor to be applied
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this->_Mat.MooeeInvDag(tmp1,tmp2); // even->even
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this->_Mat.MoeDeriv(ForceO,U,tmp2,DaggerYes);
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// Accumulate X^dag M_oe MeeInv Der_eo Y
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this->_Mat.Meooe (U,tmp1); // even->odd -- implicit -0.5 factor to be applied
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this->_Mat.MooeeInv(tmp1,tmp2); // even->even
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this->_Mat.MeoDeriv(ForceE,tmp2,V,DaggerYes);
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assert(ForceE.checkerboard==Even);
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assert(ForceO.checkerboard==Odd);
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setCheckerboard(Force,ForceE);
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setCheckerboard(Force,ForceO);
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Force=-Force;
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}
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};
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}
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}
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#endif
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