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Grid/lib/qcd/action/fermion/CayleyFermion5D.h

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Domain wall fermions now invert ; have the basis set up for Tanh/Zolo * (Cayley/PartFrac/ContFrac) * (Mobius/Shamir/Wilson) Approx Representation Kernel. All are done with space-time taking part in checkerboarding, Ls uncheckerboarded Have only so far tested the Domain Wall limit of mobius, and at that only checked that it i) Inverts ii) 5dim DW == Ls copies of 4dim D2 iii) MeeInv Mee == 1 iv) Meo+Mee+Moe+Moo == M unprec. v) MpcDagMpc is hermitan vi) Mdag is the adjoint of M between stochastic vectors. That said, the RB schur solve, RB MpcDagMpc solve, Unprec solve all converge and the true residual becomes small; so pretty good tests.
2015-06-02 16:57:12 +01:00
#ifndef GRID_QCD_CAYLEY_FERMION_H
#define GRID_QCD_CAYLEY_FERMION_H
namespace Grid {
namespace QCD {
class CayleyFermion5D : public WilsonFermion5D
{
public:
// override multiply
virtual RealD M (const LatticeFermion &in, LatticeFermion &out);
virtual RealD Mdag (const LatticeFermion &in, LatticeFermion &out);
// half checkerboard operations
virtual void Meooe (const LatticeFermion &in, LatticeFermion &out);
virtual void MeooeDag (const LatticeFermion &in, LatticeFermion &out);
virtual void Mooee (const LatticeFermion &in, LatticeFermion &out);
virtual void MooeeDag (const LatticeFermion &in, LatticeFermion &out);
virtual void MooeeInv (const LatticeFermion &in, LatticeFermion &out);
virtual void MooeeInvDag (const LatticeFermion &in, LatticeFermion &out);
First pass at continued fraction; solver and even odd decomposition tests pass. Have to make ContFrac class virtual and derive end non-abstract actions for the particular cases.
2015-06-04 00:00:45 +01:00
virtual void Instantiatable(void)=0;
Domain wall fermions now invert ; have the basis set up for Tanh/Zolo * (Cayley/PartFrac/ContFrac) * (Mobius/Shamir/Wilson) Approx Representation Kernel. All are done with space-time taking part in checkerboarding, Ls uncheckerboarded Have only so far tested the Domain Wall limit of mobius, and at that only checked that it i) Inverts ii) 5dim DW == Ls copies of 4dim D2 iii) MeeInv Mee == 1 iv) Meo+Mee+Moe+Moo == M unprec. v) MpcDagMpc is hermitan vi) Mdag is the adjoint of M between stochastic vectors. That said, the RB schur solve, RB MpcDagMpc solve, Unprec solve all converge and the true residual becomes small; so pretty good tests.
2015-06-02 16:57:12 +01:00
// protected:
RealD mass;
Mobius Caley form, Mobius Zolotarev operators. Pass Even Odd vs unprec test and hermiticity checks in tests/Grid_any_evenodd.cc; will work on inversion tests shortly.
2015-06-03 09:36:26 +01:00
Domain wall fermions now invert ; have the basis set up for Tanh/Zolo * (Cayley/PartFrac/ContFrac) * (Mobius/Shamir/Wilson) Approx Representation Kernel. All are done with space-time taking part in checkerboarding, Ls uncheckerboarded Have only so far tested the Domain Wall limit of mobius, and at that only checked that it i) Inverts ii) 5dim DW == Ls copies of 4dim D2 iii) MeeInv Mee == 1 iv) Meo+Mee+Moe+Moo == M unprec. v) MpcDagMpc is hermitan vi) Mdag is the adjoint of M between stochastic vectors. That said, the RB schur solve, RB MpcDagMpc solve, Unprec solve all converge and the true residual becomes small; so pretty good tests.
2015-06-02 16:57:12 +01:00
// Cayley form Moebius (tanh and zolotarev)
std::vector<RealD> omega;
std::vector<RealD> bs; // S dependent coeffs
std::vector<RealD> cs;
std::vector<RealD> as;
// For preconditioning Cayley form
std::vector<RealD> bee;
std::vector<RealD> cee;
std::vector<RealD> aee;
std::vector<RealD> beo;
std::vector<RealD> ceo;
std::vector<RealD> aeo;
// LDU factorisation of the eeoo matrix
std::vector<RealD> lee;
std::vector<RealD> leem;
std::vector<RealD> uee;
std::vector<RealD> ueem;
std::vector<RealD> dee;
// Constructors
CayleyFermion5D(LatticeGaugeField &_Umu,
GridCartesian &FiveDimGrid,
GridRedBlackCartesian &FiveDimRedBlackGrid,
GridCartesian &FourDimGrid,
GridRedBlackCartesian &FourDimRedBlackGrid,
RealD _mass,RealD _M5);
Mobius Caley form, Mobius Zolotarev operators. Pass Even Odd vs unprec test and hermiticity checks in tests/Grid_any_evenodd.cc; will work on inversion tests shortly.
2015-06-03 09:36:26 +01:00
protected:
First pass at continued fraction; solver and even odd decomposition tests pass. Have to make ContFrac class virtual and derive end non-abstract actions for the particular cases.
2015-06-04 00:00:45 +01:00
void SetCoefficientsZolotarev(RealD zolohi,Approx::zolotarev_data *zdata,RealD b,RealD c);
void SetCoefficientsTanh(Approx::zolotarev_data *zdata,RealD b,RealD c);
Domain wall fermions now invert ; have the basis set up for Tanh/Zolo * (Cayley/PartFrac/ContFrac) * (Mobius/Shamir/Wilson) Approx Representation Kernel. All are done with space-time taking part in checkerboarding, Ls uncheckerboarded Have only so far tested the Domain Wall limit of mobius, and at that only checked that it i) Inverts ii) 5dim DW == Ls copies of 4dim D2 iii) MeeInv Mee == 1 iv) Meo+Mee+Moe+Moo == M unprec. v) MpcDagMpc is hermitan vi) Mdag is the adjoint of M between stochastic vectors. That said, the RB schur solve, RB MpcDagMpc solve, Unprec solve all converge and the true residual becomes small; so pretty good tests.
2015-06-02 16:57:12 +01:00
};
}
}
#endif
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