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2583570e17
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.
317 lines
14 KiB
C++
317 lines
14 KiB
C++
#ifndef GRID_QCD_H
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#define GRID_QCD_H
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namespace Grid{
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namespace QCD {
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static const int Xp = 0;
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static const int Yp = 1;
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static const int Zp = 2;
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static const int Tp = 3;
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static const int Xm = 4;
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static const int Ym = 5;
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static const int Zm = 6;
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static const int Tm = 7;
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static const int Nc=3;
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static const int Ns=4;
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static const int Nd=4;
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static const int Nhs=2; // half spinor
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static const int Nds=8; // double stored gauge field
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//////////////////////////////////////////////////////////////////////////////
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// QCD iMatrix types
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// Index conventions: Lorentz x Spin x Colour
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//////////////////////////////////////////////////////////////////////////////
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static const int ColourIndex = 1;
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static const int SpinIndex = 2;
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static const int LorentzIndex= 3;
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// ChrisK very keen to add extra space for Gparity doubling.
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//
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// Also add domain wall index, in a way where Wilson operator
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// naturally distributes across the 5th dimensions.
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//
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// That probably makes for GridRedBlack4dCartesian grid.
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// s,sp,c,spc,lc
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template<typename vtype> using iSinglet = iScalar<iScalar<iScalar<vtype> > >;
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template<typename vtype> using iSpinMatrix = iScalar<iMatrix<iScalar<vtype>, Ns> >;
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template<typename vtype> using iColourMatrix = iScalar<iScalar<iMatrix<vtype, Nc> > > ;
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template<typename vtype> using iSpinColourMatrix = iScalar<iMatrix<iMatrix<vtype, Nc>, Ns> >;
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template<typename vtype> using iLorentzColourMatrix = iVector<iScalar<iMatrix<vtype, Nc> >, Nd > ;
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template<typename vtype> using iDoubleStoredColourMatrix = iVector<iScalar<iMatrix<vtype, Nc> >, Nds > ;
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template<typename vtype> using iSpinVector = iScalar<iVector<iScalar<vtype>, Ns> >;
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template<typename vtype> using iColourVector = iScalar<iScalar<iVector<vtype, Nc> > >;
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template<typename vtype> using iSpinColourVector = iScalar<iVector<iVector<vtype, Nc>, Ns> >;
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template<typename vtype> using iHalfSpinVector = iScalar<iVector<iScalar<vtype>, Nhs> >;
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template<typename vtype> using iHalfSpinColourVector = iScalar<iVector<iVector<vtype, Nc>, Nhs> >;
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// Spin matrix
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typedef iSpinMatrix<Complex > SpinMatrix;
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typedef iSpinMatrix<ComplexF > SpinMatrixF;
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typedef iSpinMatrix<ComplexD > SpinMatrixD;
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typedef iSpinMatrix<vComplex > vSpinMatrix;
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typedef iSpinMatrix<vComplexF> vSpinMatrixF;
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typedef iSpinMatrix<vComplexD> vSpinMatrixD;
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// Colour Matrix
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typedef iColourMatrix<Complex > ColourMatrix;
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typedef iColourMatrix<ComplexF > ColourMatrixF;
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typedef iColourMatrix<ComplexD > ColourMatrixD;
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typedef iColourMatrix<vComplex > vColourMatrix;
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typedef iColourMatrix<vComplexF> vColourMatrixF;
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typedef iColourMatrix<vComplexD> vColourMatrixD;
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// SpinColour matrix
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typedef iSpinColourMatrix<Complex > SpinColourMatrix;
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typedef iSpinColourMatrix<ComplexF > SpinColourMatrixF;
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typedef iSpinColourMatrix<ComplexD > SpinColourMatrixD;
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typedef iSpinColourMatrix<vComplex > vSpinColourMatrix;
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typedef iSpinColourMatrix<vComplexF> vSpinColourMatrixF;
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typedef iSpinColourMatrix<vComplexD> vSpinColourMatrixD;
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// LorentzColour
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typedef iLorentzColourMatrix<Complex > LorentzColourMatrix;
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typedef iLorentzColourMatrix<ComplexF > LorentzColourMatrixF;
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typedef iLorentzColourMatrix<ComplexD > LorentzColourMatrixD;
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typedef iLorentzColourMatrix<vComplex > vLorentzColourMatrix;
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typedef iLorentzColourMatrix<vComplexF> vLorentzColourMatrixF;
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typedef iLorentzColourMatrix<vComplexD> vLorentzColourMatrixD;
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// DoubleStored gauge field
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typedef iDoubleStoredColourMatrix<Complex > DoubleStoredColourMatrix;
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typedef iDoubleStoredColourMatrix<ComplexF > DoubleStoredColourMatrixF;
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typedef iDoubleStoredColourMatrix<ComplexD > DoubleStoredColourMatrixD;
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typedef iDoubleStoredColourMatrix<vComplex > vDoubleStoredColourMatrix;
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typedef iDoubleStoredColourMatrix<vComplexF> vDoubleStoredColourMatrixF;
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typedef iDoubleStoredColourMatrix<vComplexD> vDoubleStoredColourMatrixD;
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// Spin vector
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typedef iSpinVector<Complex > SpinVector;
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typedef iSpinVector<ComplexF> SpinVectorF;
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typedef iSpinVector<ComplexD> SpinVectorD;
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typedef iSpinVector<vComplex > vSpinVector;
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typedef iSpinVector<vComplexF> vSpinVectorF;
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typedef iSpinVector<vComplexD> vSpinVectorD;
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// Colour vector
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typedef iColourVector<Complex > ColourVector;
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typedef iColourVector<ComplexF> ColourVectorF;
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typedef iColourVector<ComplexD> ColourVectorD;
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typedef iColourVector<vComplex > vColourVector;
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typedef iColourVector<vComplexF> vColourVectorF;
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typedef iColourVector<vComplexD> vColourVectorD;
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// SpinColourVector
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typedef iSpinColourVector<Complex > SpinColourVector;
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typedef iSpinColourVector<ComplexF> SpinColourVectorF;
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typedef iSpinColourVector<ComplexD> SpinColourVectorD;
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typedef iSpinColourVector<vComplex > vSpinColourVector;
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typedef iSpinColourVector<vComplexF> vSpinColourVectorF;
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typedef iSpinColourVector<vComplexD> vSpinColourVectorD;
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// HalfSpin vector
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typedef iHalfSpinVector<Complex > HalfSpinVector;
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typedef iHalfSpinVector<ComplexF> HalfSpinVectorF;
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typedef iHalfSpinVector<ComplexD> HalfSpinVectorD;
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typedef iHalfSpinVector<vComplex > vHalfSpinVector;
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typedef iHalfSpinVector<vComplexF> vHalfSpinVectorF;
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typedef iHalfSpinVector<vComplexD> vHalfSpinVectorD;
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// HalfSpinColour vector
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typedef iHalfSpinColourVector<Complex > HalfSpinColourVector;
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typedef iHalfSpinColourVector<ComplexF> HalfSpinColourVectorF;
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typedef iHalfSpinColourVector<ComplexD> HalfSpinColourVectorD;
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typedef iHalfSpinColourVector<vComplex > vHalfSpinColourVector;
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typedef iHalfSpinColourVector<vComplexF> vHalfSpinColourVectorF;
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typedef iHalfSpinColourVector<vComplexD> vHalfSpinColourVectorD;
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// singlets
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typedef iSinglet<Complex > TComplex; // FIXME This is painful. Tensor singlet complex type.
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typedef iSinglet<ComplexF> TComplexF; // FIXME This is painful. Tensor singlet complex type.
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typedef iSinglet<ComplexD> TComplexD; // FIXME This is painful. Tensor singlet complex type.
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typedef iSinglet<vComplex > vTComplex ; // what if we don't know the tensor structure
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typedef iSinglet<vComplexF> vTComplexF; // what if we don't know the tensor structure
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typedef iSinglet<vComplexD> vTComplexD; // what if we don't know the tensor structure
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typedef iSinglet<Real > TReal; // Shouldn't need these; can I make it work without?
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typedef iSinglet<RealF> TRealF; // Shouldn't need these; can I make it work without?
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typedef iSinglet<RealD> TRealD; // Shouldn't need these; can I make it work without?
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typedef iSinglet<vReal > vTReal;
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typedef iSinglet<vRealF> vTRealF;
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typedef iSinglet<vRealD> vTRealD;
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typedef iSinglet<vInteger> vTInteger;
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typedef iSinglet<Integer > TInteger;
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// Lattices of these
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typedef Lattice<vColourMatrix> LatticeColourMatrix;
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typedef Lattice<vColourMatrixF> LatticeColourMatrixF;
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typedef Lattice<vColourMatrixD> LatticeColourMatrixD;
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typedef Lattice<vSpinMatrix> LatticeSpinMatrix;
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typedef Lattice<vSpinMatrixF> LatticeSpinMatrixF;
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typedef Lattice<vSpinMatrixD> LatticeSpinMatrixD;
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typedef Lattice<vSpinColourMatrix> LatticeSpinColourMatrix;
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typedef Lattice<vSpinColourMatrixF> LatticeSpinColourMatrixF;
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typedef Lattice<vSpinColourMatrixD> LatticeSpinColourMatrixD;
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typedef Lattice<vLorentzColourMatrix> LatticeLorentzColourMatrix;
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typedef Lattice<vLorentzColourMatrixF> LatticeLorentzColourMatrixF;
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typedef Lattice<vLorentzColourMatrixD> LatticeLorentzColourMatrixD;
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// DoubleStored gauge field
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typedef Lattice<vDoubleStoredColourMatrix> LatticeDoubleStoredColourMatrix;
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typedef Lattice<vDoubleStoredColourMatrixF> LatticeDoubleStoredColourMatrixF;
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typedef Lattice<vDoubleStoredColourMatrixD> LatticeDoubleStoredColourMatrixD;
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typedef Lattice<vSpinVector> LatticeSpinVector;
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typedef Lattice<vSpinVectorF> LatticeSpinVectorF;
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typedef Lattice<vSpinVectorD> LatticeSpinVectorD;
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typedef Lattice<vColourVector> LatticeColourVector;
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typedef Lattice<vColourVectorF> LatticeColourVectorF;
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typedef Lattice<vColourVectorD> LatticeColourVectorD;
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typedef Lattice<vSpinColourVector> LatticeSpinColourVector;
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typedef Lattice<vSpinColourVectorF> LatticeSpinColourVectorF;
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typedef Lattice<vSpinColourVectorD> LatticeSpinColourVectorD;
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typedef Lattice<vHalfSpinVector> LatticeHalfSpinVector;
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typedef Lattice<vHalfSpinVectorF> LatticeHalfSpinVectorF;
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typedef Lattice<vHalfSpinVectorD> LatticeHalfSpinVectorD;
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typedef Lattice<vHalfSpinColourVector> LatticeHalfSpinColourVector;
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typedef Lattice<vHalfSpinColourVectorF> LatticeHalfSpinColourVectorF;
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typedef Lattice<vHalfSpinColourVectorD> LatticeHalfSpinColourVectorD;
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typedef Lattice<vTReal> LatticeReal;
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typedef Lattice<vTRealF> LatticeRealF;
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typedef Lattice<vTRealD> LatticeRealD;
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typedef Lattice<vTComplex> LatticeComplex;
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typedef Lattice<vTComplexF> LatticeComplexF;
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typedef Lattice<vTComplexD> LatticeComplexD;
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typedef Lattice<vTInteger> LatticeInteger; // Predicates for "where"
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///////////////////////////////////////////
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// Physical names for things
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///////////////////////////////////////////
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typedef LatticeHalfSpinColourVector LatticeHalfFermion;
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typedef LatticeHalfSpinColourVectorF LatticeHalfFermionF;
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typedef LatticeHalfSpinColourVectorF LatticeHalfFermionD;
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typedef LatticeSpinColourVector LatticeFermion;
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typedef LatticeSpinColourVectorF LatticeFermionF;
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typedef LatticeSpinColourVectorD LatticeFermionD;
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typedef LatticeSpinColourMatrix LatticePropagator;
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typedef LatticeSpinColourMatrixF LatticePropagatorF;
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typedef LatticeSpinColourMatrixD LatticePropagatorD;
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typedef LatticeLorentzColourMatrix LatticeGaugeField;
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typedef LatticeLorentzColourMatrixF LatticeGaugeFieldF;
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typedef LatticeLorentzColourMatrixD LatticeGaugeFieldD;
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typedef LatticeDoubleStoredColourMatrix LatticeDoubledGaugeField;
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typedef LatticeDoubleStoredColourMatrixF LatticeDoubledGaugeFieldF;
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typedef LatticeDoubleStoredColourMatrixD LatticeDoubledGaugeFieldD;
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// Uhgg... typing this hurt ;)
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// (my keyboard got burning hot when I typed this, must be the anti-Fermion)
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typedef Lattice<vColourVector> LatticeStaggeredFermion;
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typedef Lattice<vColourVectorF> LatticeStaggeredFermionF;
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typedef Lattice<vColourVectorD> LatticeStaggeredFermionD;
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typedef Lattice<vColourMatrix> LatticeStaggeredPropagator;
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typedef Lattice<vColourMatrixF> LatticeStaggeredPropagatorF;
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typedef Lattice<vColourMatrixD> LatticeStaggeredPropagatorD;
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//////////////////////////////////////////////////////////////////////////////
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// Peek and Poke named after physics attributes
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//////////////////////////////////////////////////////////////////////////////
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//spin
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template<class vobj> auto peekSpin(const vobj &rhs,int i) -> decltype(peekIndex<SpinIndex>(rhs,0))
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{
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return peekIndex<SpinIndex>(rhs,i);
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}
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template<class vobj> auto peekSpin(const vobj &rhs,int i,int j) -> decltype(peekIndex<SpinIndex>(rhs,0,0))
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{
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return peekIndex<SpinIndex>(rhs,i,j);
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}
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template<class vobj> auto peekSpin(const Lattice<vobj> &rhs,int i) -> decltype(peekIndex<SpinIndex>(rhs,0))
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{
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return peekIndex<SpinIndex>(rhs,i);
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}
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template<class vobj> auto peekSpin(const Lattice<vobj> &rhs,int i,int j) -> decltype(peekIndex<SpinIndex>(rhs,0,0))
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{
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return peekIndex<SpinIndex>(rhs,i,j);
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}
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//colour
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template<class vobj> auto peekColour(const vobj &rhs,int i) -> decltype(peekIndex<ColourIndex>(rhs,0))
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{
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return peekIndex<ColourIndex>(rhs,i);
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}
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template<class vobj> auto peekColour(const vobj &rhs,int i,int j) -> decltype(peekIndex<ColourIndex>(rhs,0,0))
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{
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return peekIndex<ColourIndex>(rhs,i,j);
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}
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template<class vobj> auto peekColour(const Lattice<vobj> &rhs,int i) -> decltype(peekIndex<ColourIndex>(rhs,0))
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{
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return peekIndex<ColourIndex>(rhs,i);
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}
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template<class vobj> auto peekColour(const Lattice<vobj> &rhs,int i,int j) -> decltype(peekIndex<ColourIndex>(rhs,0,0))
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{
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return peekIndex<ColourIndex>(rhs,i,j);
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}
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//lorentz
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template<class vobj> auto peekLorentz(const vobj &rhs,int i) -> decltype(peekIndex<LorentzIndex>(rhs,0))
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{
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return peekIndex<LorentzIndex>(rhs,i);
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}
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template<class vobj> auto peekLorentz(const vobj &rhs,int i,int j) -> decltype(peekIndex<LorentzIndex>(rhs,0,0))
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{
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return peekIndex<LorentzIndex>(rhs,i,j);
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}
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template<class vobj> auto peekLorentz(const Lattice<vobj> &rhs,int i) -> decltype(peekIndex<LorentzIndex>(rhs,0))
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{
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return peekIndex<LorentzIndex>(rhs,i);
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}
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template<class vobj> auto peekLorentz(const Lattice<vobj> &rhs,int i,int j) -> decltype(peekIndex<LorentzIndex>(rhs,0,0))
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{
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return peekIndex<LorentzIndex>(rhs,i,j);
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}
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// FIXME transpose Colour, transpose Spin, traceColour traceSpin
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} //namespace QCD
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} // Grid
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#include <qcd/SpaceTimeGrid.h>
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#include <qcd/Dirac.h>
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#include <qcd/TwoSpinor.h>
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#include <qcd/LinalgUtils.h>
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#include <qcd/action/Actions.h>
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#endif
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