portelli/Grid
1
0
Fork 0
mirror of https://github.com/paboyle/Grid.git synced 2024-11-10 07:55:35 +00:00
Code Releases Activity

Added Gparity flavour Pauli matrix algebra and associated tensor types mirroring strategy used for Gamma matrices

Browse Source 
Added test program for the above
This commit is contained in:
Christopher Kelly 2021-03-03 15:39:41 -05:00
parent e0f6a146d8
commit feee5ccde2
6 changed files with 718 additions and 0 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

1
Grid/GridQCDcore.h
View File

@ -36,6 +36,7 @@ Author: paboyle <paboyle@ph.ed.ac.uk>
#include <Grid/GridCore.h>
#include <Grid/qcd/QCD.h>
#include <Grid/qcd/spin/Spin.h>
#include <Grid/qcd/gparity/Gparity.h>
#include <Grid/qcd/utils/Utils.h>
#include <Grid/qcd/representations/Representations.h>
NAMESPACE_CHECK(GridQCDCore);

25
Grid/qcd/QCD.h
View File

@ -63,6 +63,7 @@ static constexpr int Ngp=2; // gparity index range
#define ColourIndex (2)
#define SpinIndex (1)
#define LorentzIndex (0)
#define GparityFlavourIndex (0)
// Also should make these a named enum type
static constexpr int DaggerNo=0;
@ -87,6 +88,8 @@ template<typename T> struct isCoarsened {
template <typename T> using IfCoarsened = Invoke<std::enable_if< isCoarsened<T>::value,int> > ;
template <typename T> using IfNotCoarsened = Invoke<std::enable_if<!isCoarsened<T>::value,int> > ;
const int GparityFlavourTensorIndex = 3; //TensorLevel counts from the bottom!
// ChrisK very keen to add extra space for Gparity doubling.
//
// Also add domain wall index, in a way where Wilson operator
@ -110,8 +113,10 @@ template<typename vtype> using iHalfSpinColourVector = iScalar<iVector<iVec
template<typename vtype> using iSpinColourSpinColourMatrix = iScalar<iMatrix<iMatrix<iMatrix<iMatrix<vtype, Nc>, Ns>, Nc>, Ns> >;
template<typename vtype> using iGparityFlavourVector = iVector<iScalar<iScalar<vtype> >, Ngp>;
template<typename vtype> using iGparitySpinColourVector = iVector<iVector<iVector<vtype, Nc>, Ns>, Ngp >;
template<typename vtype> using iGparityHalfSpinColourVector = iVector<iVector<iVector<vtype, Nc>, Nhs>, Ngp >;
template<typename vtype> using iGparityFlavourMatrix = iMatrix<iScalar<iScalar<vtype> >, Ngp>;
// Spin matrix
typedef iSpinMatrix<Complex > SpinMatrix;
@ -176,6 +181,16 @@ typedef iDoubleStoredColourMatrix<vComplex > vDoubleStoredColourMatrix;
typedef iDoubleStoredColourMatrix<vComplexF> vDoubleStoredColourMatrixF;
typedef iDoubleStoredColourMatrix<vComplexD> vDoubleStoredColourMatrixD;
//G-parity flavour matrix
typedef iGparityFlavourMatrix<Complex> GparityFlavourMatrix;
typedef iGparityFlavourMatrix<ComplexF> GparityFlavourMatrixF;
typedef iGparityFlavourMatrix<ComplexD> GparityFlavourMatrixD;
typedef iGparityFlavourMatrix<vComplex> vGparityFlavourMatrix;
typedef iGparityFlavourMatrix<vComplexF> vGparityFlavourMatrixF;
typedef iGparityFlavourMatrix<vComplexD> vGparityFlavourMatrixD;
// Spin vector
typedef iSpinVector<Complex > SpinVector;
typedef iSpinVector<ComplexF> SpinVectorF;
@ -220,6 +235,16 @@ typedef iHalfSpinColourVector<ComplexD> HalfSpinColourVectorD;
typedef iHalfSpinColourVector<vComplex > vHalfSpinColourVector;
typedef iHalfSpinColourVector<vComplexF> vHalfSpinColourVectorF;
typedef iHalfSpinColourVector<vComplexD> vHalfSpinColourVectorD;
//G-parity flavour vector
typedef iGparityFlavourVector<Complex > GparityFlavourVector;
typedef iGparityFlavourVector<ComplexF> GparityFlavourVectorF;
typedef iGparityFlavourVector<ComplexD> GparityFlavourVectorD;
typedef iGparityFlavourVector<vComplex > vGparityFlavourVector;
typedef iGparityFlavourVector<vComplexF> vGparityFlavourVectorF;
typedef iGparityFlavourVector<vComplexD> vGparityFlavourVectorD;
// singlets
typedef iSinglet<Complex > TComplex; // FIXME This is painful. Tensor singlet complex type.

6
Grid/qcd/gparity/Gparity.h Normal file
View File

@ -0,0 +1,6 @@
#ifndef GRID_GPARITY_H_
#define GRID_GPARITY_H_
#include<Grid/qcd/gparity/GparityFlavour.h>
#endif

34
Grid/qcd/gparity/GparityFlavour.cc Normal file
View File

@ -0,0 +1,34 @@
#include <Grid/Grid.h>
NAMESPACE_BEGIN(Grid);
const std::array<const GparityFlavour, 3> GparityFlavour::sigma_mu = {{
GparityFlavour(GparityFlavour::Algebra::SigmaX),
GparityFlavour(GparityFlavour::Algebra::SigmaY),
GparityFlavour(GparityFlavour::Algebra::SigmaZ)
}};
const std::array<const GparityFlavour, 6> GparityFlavour::sigma_all = {{
GparityFlavour(GparityFlavour::Algebra::Identity),
GparityFlavour(GparityFlavour::Algebra::SigmaX),
GparityFlavour(GparityFlavour::Algebra::SigmaY),
GparityFlavour(GparityFlavour::Algebra::SigmaZ),
GparityFlavour(GparityFlavour::Algebra::ProjPlus),
GparityFlavour(GparityFlavour::Algebra::ProjMinus)
}};
const std::array<const char *, GparityFlavour::nSigma> GparityFlavour::name = {{
"SigmaX",
"MinusSigmaX",
"SigmaY",
"MinusSigmaY",
"SigmaZ",
"MinusSigmaZ",
"Identity",
"MinusIdentity",
"ProjPlus",
"MinusProjPlus",
"ProjMinus",
"MinusProjMinus"}};
NAMESPACE_END(Grid);

475
Grid/qcd/gparity/GparityFlavour.h Normal file
View File

@ -0,0 +1,475 @@
#ifndef GRID_QCD_GPARITY_FLAVOUR_H
#define GRID_QCD_GPARITY_FLAVOUR_H
//Support for flavour-matrix operations acting on the G-parity flavour index
#include <array>
NAMESPACE_BEGIN(Grid);
class GparityFlavour {
public:
GRID_SERIALIZABLE_ENUM(Algebra, undef,
SigmaX, 0,
MinusSigmaX, 1,
SigmaY, 2,
MinusSigmaY, 3,
SigmaZ, 4,
MinusSigmaZ, 5,
Identity, 6,
MinusIdentity, 7,
ProjPlus, 8,
MinusProjPlus, 9,
ProjMinus, 10,
MinusProjMinus, 11
);
static constexpr unsigned int nSigma = 12;
static const std::array<const char *, nSigma> name;
static const std::array<const GparityFlavour, 3> sigma_mu;
static const std::array<const GparityFlavour, 6> sigma_all;
Algebra g;
public:
accelerator GparityFlavour(Algebra initg): g(initg) {}
};
// 0 1 x vector
// 1 0
template<class vtype>
accelerator_inline void multFlavourSigmaX(iVector<vtype, Ngp> &ret, const iVector<vtype, Ngp> &rhs)
{
ret(0) = rhs(1);
ret(1) = rhs(0);
};
template<class vtype>
accelerator_inline void lmultFlavourSigmaX(iMatrix<vtype, Ngp> &ret, const iMatrix<vtype, Ngp> &rhs)
{
ret(0,0) = rhs(1,0);
ret(0,1) = rhs(1,1);
ret(1,0) = rhs(0,0);
ret(1,1) = rhs(0,1);
};
template<class vtype>
accelerator_inline void rmultFlavourSigmaX(iMatrix<vtype, Ngp> &ret, const iMatrix<vtype, Ngp> &rhs)
{
ret(0,0) = rhs(0,1);
ret(0,1) = rhs(0,0);
ret(1,0) = rhs(1,1);
ret(1,1) = rhs(1,0);
};
template<class vtype>
accelerator_inline void multFlavourMinusSigmaX(iVector<vtype, Ngp> &ret, const iVector<vtype, Ngp> &rhs)
{
ret(0) = -rhs(1);
ret(1) = -rhs(0);
};
template<class vtype>
accelerator_inline void lmultFlavourMinusSigmaX(iMatrix<vtype, Ngp> &ret, const iMatrix<vtype, Ngp> &rhs)
{
ret(0,0) = -rhs(1,0);
ret(0,1) = -rhs(1,1);
ret(1,0) = -rhs(0,0);
ret(1,1) = -rhs(0,1);
};
template<class vtype>
accelerator_inline void rmultFlavourMinusSigmaX(iMatrix<vtype, Ngp> &ret, const iMatrix<vtype, Ngp> &rhs)
{
ret(0,0) = -rhs(0,1);
ret(0,1) = -rhs(0,0);
ret(1,0) = -rhs(1,1);
ret(1,1) = -rhs(1,0);
};
// 0 -i x vector
// i 0
template<class vtype>
accelerator_inline void multFlavourSigmaY(iVector<vtype, Ngp> &ret, const iVector<vtype, Ngp> &rhs)
{
ret(0) = timesMinusI(rhs(1));
ret(1) = timesI(rhs(0));
};
template<class vtype>
accelerator_inline void lmultFlavourSigmaY(iMatrix<vtype, Ngp> &ret, const iMatrix<vtype, Ngp> &rhs)
{
ret(0,0) = timesMinusI(rhs(1,0));
ret(0,1) = timesMinusI(rhs(1,1));
ret(1,0) = timesI(rhs(0,0));
ret(1,1) = timesI(rhs(0,1));
};
template<class vtype>
accelerator_inline void rmultFlavourSigmaY(iMatrix<vtype, Ngp> &ret, const iMatrix<vtype, Ngp> &rhs)
{
ret(0,0) = timesI(rhs(0,1));
ret(0,1) = timesMinusI(rhs(0,0));
ret(1,0) = timesI(rhs(1,1));
ret(1,1) = timesMinusI(rhs(1,0));
};
template<class vtype>
accelerator_inline void multFlavourMinusSigmaY(iVector<vtype, Ngp> &ret, const iVector<vtype, Ngp> &rhs)
{
ret(0) = timesI(rhs(1));
ret(1) = timesMinusI(rhs(0));
};
template<class vtype>
accelerator_inline void lmultFlavourMinusSigmaY(iMatrix<vtype, Ngp> &ret, const iMatrix<vtype, Ngp> &rhs)
{
ret(0,0) = timesI(rhs(1,0));
ret(0,1) = timesI(rhs(1,1));
ret(1,0) = timesMinusI(rhs(0,0));
ret(1,1) = timesMinusI(rhs(0,1));
};
template<class vtype>
accelerator_inline void rmultFlavourMinusSigmaY(iMatrix<vtype, Ngp> &ret, const iMatrix<vtype, Ngp> &rhs)
{
ret(0,0) = timesMinusI(rhs(0,1));
ret(0,1) = timesI(rhs(0,0));
ret(1,0) = timesMinusI(rhs(1,1));
ret(1,1) = timesI(rhs(1,0));
};
// 1 0 x vector
// 0 -1
template<class vtype>
accelerator_inline void multFlavourSigmaZ(iVector<vtype, Ngp> &ret, const iVector<vtype, Ngp> &rhs)
{
ret(0) = rhs(0);
ret(1) = -rhs(1);
};
template<class vtype>
accelerator_inline void lmultFlavourSigmaZ(iMatrix<vtype, Ngp> &ret, const iMatrix<vtype, Ngp> &rhs)
{
ret(0,0) = rhs(0,0);
ret(0,1) = rhs(0,1);
ret(1,0) = -rhs(1,0);
ret(1,1) = -rhs(1,1);
};
template<class vtype>
accelerator_inline void rmultFlavourSigmaZ(iMatrix<vtype, Ngp> &ret, const iMatrix<vtype, Ngp> &rhs)
{
ret(0,0) = rhs(0,0);
ret(0,1) = -rhs(0,1);
ret(1,0) = rhs(1,0);
ret(1,1) = -rhs(1,1);
};
template<class vtype>
accelerator_inline void multFlavourMinusSigmaZ(iVector<vtype, Ngp> &ret, const iVector<vtype, Ngp> &rhs)
{
ret(0) = -rhs(0);
ret(1) = rhs(1);
};
template<class vtype>
accelerator_inline void lmultFlavourMinusSigmaZ(iMatrix<vtype, Ngp> &ret, const iMatrix<vtype, Ngp> &rhs)
{
ret(0,0) = -rhs(0,0);
ret(0,1) = -rhs(0,1);
ret(1,0) = rhs(1,0);
ret(1,1) = rhs(1,1);
};
template<class vtype>
accelerator_inline void rmultFlavourMinusSigmaZ(iMatrix<vtype, Ngp> &ret, const iMatrix<vtype, Ngp> &rhs)
{
ret(0,0) = -rhs(0,0);
ret(0,1) = rhs(0,1);
ret(1,0) = -rhs(1,0);
ret(1,1) = rhs(1,1);
};
template<class vtype>
accelerator_inline void multFlavourIdentity(iVector<vtype, Ngp> &ret, const iVector<vtype, Ngp> &rhs)
{
ret(0) = rhs(0);
ret(1) = rhs(1);
};
template<class vtype>
accelerator_inline void lmultFlavourIdentity(iMatrix<vtype, Ngp> &ret, const iMatrix<vtype, Ngp> &rhs)
{
ret(0,0) = rhs(0,0);
ret(0,1) = rhs(0,1);
ret(1,0) = rhs(1,0);
ret(1,1) = rhs(1,1);
};
template<class vtype>
accelerator_inline void rmultFlavourIdentity(iMatrix<vtype, Ngp> &ret, const iMatrix<vtype, Ngp> &rhs)
{
ret(0,0) = rhs(0,0);
ret(0,1) = rhs(0,1);
ret(1,0) = rhs(1,0);
ret(1,1) = rhs(1,1);
};
template<class vtype>
accelerator_inline void multFlavourMinusIdentity(iVector<vtype, Ngp> &ret, const iVector<vtype, Ngp> &rhs)
{
ret(0) = -rhs(0);
ret(1) = -rhs(1);
};
template<class vtype>
accelerator_inline void lmultFlavourMinusIdentity(iMatrix<vtype, Ngp> &ret, const iMatrix<vtype, Ngp> &rhs)
{
ret(0,0) = -rhs(0,0);
ret(0,1) = -rhs(0,1);
ret(1,0) = -rhs(1,0);
ret(1,1) = -rhs(1,1);
};
template<class vtype>
accelerator_inline void rmultFlavourMinusIdentity(iMatrix<vtype, Ngp> &ret, const iMatrix<vtype, Ngp> &rhs)
{
ret(0,0) = -rhs(0,0);
ret(0,1) = -rhs(0,1);
ret(1,0) = -rhs(1,0);
ret(1,1) = -rhs(1,1);
};
//G-parity flavour projection 1/2(1+\sigma_2)
//1 -i
//i 1
template<class vtype>
accelerator_inline void multFlavourProjPlus(iVector<vtype, Ngp> &ret, const iVector<vtype, Ngp> &rhs)
{
ret(0) = 0.5*rhs(0) + 0.5*timesMinusI(rhs(1));
ret(1) = 0.5*timesI(rhs(0)) + 0.5*rhs(1);
};
template<class vtype>
accelerator_inline void lmultFlavourProjPlus(iMatrix<vtype, Ngp> &ret, const iMatrix<vtype, Ngp> &rhs)
{
ret(0,0) = 0.5*rhs(0,0) + 0.5*timesMinusI(rhs(1,0));
ret(0,1) = 0.5*rhs(0,1) + 0.5*timesMinusI(rhs(1,1));
ret(1,0) = 0.5*timesI(rhs(0,0)) + 0.5*rhs(1,0);
ret(1,1) = 0.5*timesI(rhs(0,1)) + 0.5*rhs(1,1);
};
template<class vtype>
accelerator_inline void rmultFlavourProjPlus(iMatrix<vtype, Ngp> &ret, const iMatrix<vtype, Ngp> &rhs)
{
ret(0,0) = 0.5*rhs(0,0) + 0.5*timesI(rhs(0,1));
ret(0,1) = 0.5*timesMinusI(rhs(0,0)) + 0.5*rhs(0,1);
ret(1,0) = 0.5*rhs(1,0) + 0.5*timesI(rhs(1,1));
ret(1,1) = 0.5*timesMinusI(rhs(1,0)) + 0.5*rhs(1,1);
};
template<class vtype>
accelerator_inline void multFlavourMinusProjPlus(iVector<vtype, Ngp> &ret, const iVector<vtype, Ngp> &rhs)
{
ret(0) = -0.5*rhs(0) + 0.5*timesI(rhs(1));
ret(1) = 0.5*timesMinusI(rhs(0)) - 0.5*rhs(1);
};
template<class vtype>
accelerator_inline void lmultFlavourMinusProjPlus(iMatrix<vtype, Ngp> &ret, const iMatrix<vtype, Ngp> &rhs)
{
ret(0,0) = -0.5*rhs(0,0) + 0.5*timesI(rhs(1,0));
ret(0,1) = -0.5*rhs(0,1) + 0.5*timesI(rhs(1,1));
ret(1,0) = 0.5*timesMinusI(rhs(0,0)) - 0.5*rhs(1,0);
ret(1,1) = 0.5*timesMinusI(rhs(0,1)) - 0.5*rhs(1,1);
};
template<class vtype>
accelerator_inline void rmultFlavourMinusProjPlus(iMatrix<vtype, Ngp> &ret, const iMatrix<vtype, Ngp> &rhs)
{
ret(0,0) = -0.5*rhs(0,0) + 0.5*timesMinusI(rhs(0,1));
ret(0,1) = 0.5*timesI(rhs(0,0)) - 0.5*rhs(0,1);
ret(1,0) = -0.5*rhs(1,0) + 0.5*timesMinusI(rhs(1,1));
ret(1,1) = 0.5*timesI(rhs(1,0)) - 0.5*rhs(1,1);
};
//G-parity flavour projection 1/2(1-\sigma_2)
//1 i
//-i 1
template<class vtype>
accelerator_inline void multFlavourProjMinus(iVector<vtype, Ngp> &ret, const iVector<vtype, Ngp> &rhs)
{
ret(0) = 0.5*rhs(0) + 0.5*timesI(rhs(1));
ret(1) = 0.5*timesMinusI(rhs(0)) + 0.5*rhs(1);
};
template<class vtype>
accelerator_inline void lmultFlavourProjMinus(iMatrix<vtype, Ngp> &ret, const iMatrix<vtype, Ngp> &rhs)
{
ret(0,0) = 0.5*rhs(0,0) + 0.5*timesI(rhs(1,0));
ret(0,1) = 0.5*rhs(0,1) + 0.5*timesI(rhs(1,1));
ret(1,0) = 0.5*timesMinusI(rhs(0,0)) + 0.5*rhs(1,0);
ret(1,1) = 0.5*timesMinusI(rhs(0,1)) + 0.5*rhs(1,1);
};
template<class vtype>
accelerator_inline void rmultFlavourProjMinus(iMatrix<vtype, Ngp> &ret, const iMatrix<vtype, Ngp> &rhs)
{
ret(0,0) = 0.5*rhs(0,0) + 0.5*timesMinusI(rhs(0,1));
ret(0,1) = 0.5*timesI(rhs(0,0)) + 0.5*rhs(0,1);
ret(1,0) = 0.5*rhs(1,0) + 0.5*timesMinusI(rhs(1,1));
ret(1,1) = 0.5*timesI(rhs(1,0)) + 0.5*rhs(1,1);
};
template<class vtype>
accelerator_inline void multFlavourMinusProjMinus(iVector<vtype, Ngp> &ret, const iVector<vtype, Ngp> &rhs)
{
ret(0) = -0.5*rhs(0) + 0.5*timesMinusI(rhs(1));
ret(1) = 0.5*timesI(rhs(0)) - 0.5*rhs(1);
};
template<class vtype>
accelerator_inline void lmultFlavourMinusProjMinus(iMatrix<vtype, Ngp> &ret, const iMatrix<vtype, Ngp> &rhs)
{
ret(0,0) = -0.5*rhs(0,0) + 0.5*timesMinusI(rhs(1,0));
ret(0,1) = -0.5*rhs(0,1) + 0.5*timesMinusI(rhs(1,1));
ret(1,0) = 0.5*timesI(rhs(0,0)) - 0.5*rhs(1,0);
ret(1,1) = 0.5*timesI(rhs(0,1)) - 0.5*rhs(1,1);
};
template<class vtype>
accelerator_inline void rmultFlavourMinusProjMinus(iMatrix<vtype, Ngp> &ret, const iMatrix<vtype, Ngp> &rhs)
{
ret(0,0) = -0.5*rhs(0,0) + 0.5*timesI(rhs(0,1));
ret(0,1) = 0.5*timesMinusI(rhs(0,0)) - 0.5*rhs(0,1);
ret(1,0) = -0.5*rhs(1,0) + 0.5*timesI(rhs(1,1));
ret(1,1) = 0.5*timesMinusI(rhs(1,0)) - 0.5*rhs(1,1);
};
template<class vtype>
accelerator_inline auto operator*(const GparityFlavour &G, const iVector<vtype, Ngp> &arg)
->typename std::enable_if<matchGridTensorIndex<iVector<vtype, Ngp>, GparityFlavourTensorIndex>::value, iVector<vtype, Ngp>>::type
{
iVector<vtype, Ngp> ret;
switch (G.g)
{
case GparityFlavour::Algebra::SigmaX:
multFlavourSigmaX(ret, arg); break;
case GparityFlavour::Algebra::MinusSigmaX:
multFlavourMinusSigmaX(ret, arg); break;
case GparityFlavour::Algebra::SigmaY:
multFlavourSigmaY(ret, arg); break;
case GparityFlavour::Algebra::MinusSigmaY:
multFlavourMinusSigmaY(ret, arg); break;
case GparityFlavour::Algebra::SigmaZ:
multFlavourSigmaZ(ret, arg); break;
case GparityFlavour::Algebra::MinusSigmaZ:
multFlavourMinusSigmaZ(ret, arg); break;
case GparityFlavour::Algebra::Identity:
multFlavourIdentity(ret, arg); break;
case GparityFlavour::Algebra::MinusIdentity:
multFlavourMinusIdentity(ret, arg); break;
case GparityFlavour::Algebra::ProjPlus:
multFlavourProjPlus(ret, arg); break;
case GparityFlavour::Algebra::MinusProjPlus:
multFlavourMinusProjPlus(ret, arg); break;
case GparityFlavour::Algebra::ProjMinus:
multFlavourProjMinus(ret, arg); break;
case GparityFlavour::Algebra::MinusProjMinus:
multFlavourMinusProjMinus(ret, arg); break;
default: assert(0);
}
return ret;
}
template<class vtype>
accelerator_inline auto operator*(const GparityFlavour &G, const iMatrix<vtype, Ngp> &arg)
->typename std::enable_if<matchGridTensorIndex<iMatrix<vtype, Ngp>, GparityFlavourTensorIndex>::value, iMatrix<vtype, Ngp>>::type
{
iMatrix<vtype, Ngp> ret;
switch (G.g)
{
case GparityFlavour::Algebra::SigmaX:
lmultFlavourSigmaX(ret, arg); break;
case GparityFlavour::Algebra::MinusSigmaX:
lmultFlavourMinusSigmaX(ret, arg); break;
case GparityFlavour::Algebra::SigmaY:
lmultFlavourSigmaY(ret, arg); break;
case GparityFlavour::Algebra::MinusSigmaY:
lmultFlavourMinusSigmaY(ret, arg); break;
case GparityFlavour::Algebra::SigmaZ:
lmultFlavourSigmaZ(ret, arg); break;
case GparityFlavour::Algebra::MinusSigmaZ:
lmultFlavourMinusSigmaZ(ret, arg); break;
case GparityFlavour::Algebra::Identity:
lmultFlavourIdentity(ret, arg); break;
case GparityFlavour::Algebra::MinusIdentity:
lmultFlavourMinusIdentity(ret, arg); break;
case GparityFlavour::Algebra::ProjPlus:
lmultFlavourProjPlus(ret, arg); break;
case GparityFlavour::Algebra::MinusProjPlus:
lmultFlavourMinusProjPlus(ret, arg); break;
case GparityFlavour::Algebra::ProjMinus:
lmultFlavourProjMinus(ret, arg); break;
case GparityFlavour::Algebra::MinusProjMinus:
lmultFlavourMinusProjMinus(ret, arg); break;
default: assert(0);
}
return ret;
}
template<class vtype>
accelerator_inline auto operator*(const iMatrix<vtype, Ngp> &arg, const GparityFlavour &G)
->typename std::enable_if<matchGridTensorIndex<iMatrix<vtype, Ngp>, GparityFlavourTensorIndex>::value, iMatrix<vtype, Ngp>>::type
{
iMatrix<vtype, Ngp> ret;
switch (G.g)
{
case GparityFlavour::Algebra::SigmaX:
rmultFlavourSigmaX(ret, arg); break;
case GparityFlavour::Algebra::MinusSigmaX:
rmultFlavourMinusSigmaX(ret, arg); break;
case GparityFlavour::Algebra::SigmaY:
rmultFlavourSigmaY(ret, arg); break;
case GparityFlavour::Algebra::MinusSigmaY:
rmultFlavourMinusSigmaY(ret, arg); break;
case GparityFlavour::Algebra::SigmaZ:
rmultFlavourSigmaZ(ret, arg); break;
case GparityFlavour::Algebra::MinusSigmaZ:
rmultFlavourMinusSigmaZ(ret, arg); break;
case GparityFlavour::Algebra::Identity:
rmultFlavourIdentity(ret, arg); break;
case GparityFlavour::Algebra::MinusIdentity:
rmultFlavourMinusIdentity(ret, arg); break;
case GparityFlavour::Algebra::ProjPlus:
rmultFlavourProjPlus(ret, arg); break;
case GparityFlavour::Algebra::MinusProjPlus:
rmultFlavourMinusProjPlus(ret, arg); break;
case GparityFlavour::Algebra::ProjMinus:
rmultFlavourProjMinus(ret, arg); break;
case GparityFlavour::Algebra::MinusProjMinus:
rmultFlavourMinusProjMinus(ret, arg); break;
default: assert(0);
}
return ret;
}
NAMESPACE_END(Grid);
#endif // include guard

177
tests/core/Test_gparity_flavour.cc Normal file
View File

@ -0,0 +1,177 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./tests/Test_gparity_flavour.cc
Copyright (C) 2015-2017
Author: Christopher Kelly <ckelly@bnl.gov>
Author: Peter Boyle <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 Grid;
static constexpr double tolerance = 1.0e-6;
static std::array<GparityFlavourMatrix, GparityFlavour::nSigma> testAlgebra;
void print(const GparityFlavourMatrix &g)
{
for(int i = 0; i < Ngp; i++)
{
std::cout << GridLogMessage << "(";
for(int j=0;j<Ngp;j++){
if ( abs( g(i,j)()() ) == 0 ) {
std::cout<< " 0";
} else if ( abs(g(i,j)()() - Complex(0,1)) == 0){
std::cout<< " i";
} else if ( abs(g(i,j)()() + Complex(0,1)) == 0){
std::cout<< "-i";
} else if ( abs(g(i,j)()() - Complex(1,0)) == 0){
std::cout<< " 1";
} else if ( abs(g(i,j)()() + Complex(1,0)) == 0){
std::cout<< "-1";
}
std::cout<<((j == Ngp-1) ? ")" : "," );
}
std::cout << std::endl;
}
std::cout << GridLogMessage << std::endl;
}
void createTestAlgebra(void)
{
std::array<GparityFlavourMatrix, 3> testg;
const Complex I(0., 1.), mI(0., -1.);
// 0 1
// 1 0
testg[0] = Zero();
testg[0](0, 1)()() = 1.;
testg[0](1, 0)()() = 1.;
std::cout << GridLogMessage << "test SigmaX= " << std::endl;
print(testg[0]);
// 0 -i
// i 0
testg[1] = Zero();
testg[1](0, 1)()() = mI;
testg[1](1, 0)()() = I;
std::cout << GridLogMessage << "test SigmaY= " << std::endl;
print(testg[1]);
// 1 0
// 0 -1
testg[2] = Zero();
testg[2](0, 0)()() = 1.0;
testg[2](1, 1)()() = -1.0;
std::cout << GridLogMessage << "test SigmaZ= " << std::endl;
print(testg[2]);
#define DEFINE_TEST_G(g, exp)\
testAlgebra[GparityFlavour::Algebra::g] = exp; \
testAlgebra[GparityFlavour::Algebra::Minus##g] = -exp;
DEFINE_TEST_G(SigmaX , testg[0]);
DEFINE_TEST_G(SigmaY , testg[1]);
DEFINE_TEST_G(SigmaZ , testg[2]);
DEFINE_TEST_G(Identity , 1.);
GparityFlavourMatrix pplus;
pplus = 1.0;
pplus = pplus + testg[1];
pplus = pplus * 0.5;
DEFINE_TEST_G(ProjPlus , pplus);
GparityFlavourMatrix pminus;
pminus = 1.0;
pminus = pminus - testg[1];
pminus = pminus * 0.5;
DEFINE_TEST_G(ProjMinus , pminus);
#undef DEFINE_TEST_G
}
template <typename Expr>
void test(const Expr &a, const Expr &b)
{
if (norm2(a - b) < tolerance)
{
std::cout << "[OK] ";
}
else
{
std::cout << "[fail]" << std::endl;
std::cout << GridLogError << "a= " << a << std::endl;
std::cout << GridLogError << "is different (tolerance= " << tolerance << ") from " << std::endl;
std::cout << GridLogError << "b= " << b << std::endl;
exit(EXIT_FAILURE);
}
}
void checkSigma(const GparityFlavour::Algebra a, GridSerialRNG &rng)
{
GparityFlavourVector v;
GparityFlavourMatrix m, &testg = testAlgebra[a];
GparityFlavour g(a);
random(rng, v);
random(rng, m);
std::cout << GridLogMessage << "Checking " << GparityFlavour::name[a] << ": ";
std::cout << "vecmul ";
test(g*v, testg*v);
std::cout << "matlmul ";
test(g*m, testg*m);
std::cout << "matrmul ";
test(m*g, m*testg);
std::cout << std::endl;
}
int main(int argc, char *argv[])
{
Grid_init(&argc,&argv);
Coordinate latt_size = GridDefaultLatt();
Coordinate simd_layout = GridDefaultSimd(4,vComplex::Nsimd());
Coordinate mpi_layout = GridDefaultMpi();
GridCartesian Grid(latt_size,simd_layout,mpi_layout);
GridSerialRNG sRNG;
sRNG.SeedFixedIntegers(std::vector<int>({45,12,81,9}));
std::cout << GridLogMessage << "======== Test algebra" << std::endl;
createTestAlgebra();
std::cout << GridLogMessage << "======== Multiplication operators check" << std::endl;
for (int i = 0; i < GparityFlavour::nSigma; ++i)
{
checkSigma(i, sRNG);
}
std::cout << GridLogMessage << std::endl;
Grid_finalize();
return EXIT_SUCCESS;
}