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cleaning up requested by Ed
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881b08a465
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@ -303,7 +303,6 @@ class GaugeGroup {
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template <typename LatticeMatrixType>
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static void taProj(const LatticeMatrixType &in, LatticeMatrixType &out) {
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taProj(in, out, group_name());
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//out = Ta(in);
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}
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template <typename LatticeMatrixType>
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@ -334,32 +333,20 @@ class GaugeGroup {
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ProjectOnGaugeGroup(Umu, group_name());
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}
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template <class vtype>
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static void ProjectOnGaugeGroup(iScalar<vtype> &r) {
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template <class vtype>
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static void ProjectOnGaugeGroup(iScalar<vtype> &r) {
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ProjectOnGaugeGroup(r, group_name());
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}
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template <class vtype, int N>
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static void ProjectOnGaugeGroup(iVector<vtype,N> &r) {
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r = ProjectOnGaugeGroup(r, group_name());
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}
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template <class vtype,int N, typename std::enable_if< GridTypeMapper<vtype>::TensorLevel == 0 >::type * =nullptr>
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static void ProjectOnGaugeGroup(iMatrix<vtype,N> &arg) {
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arg = ProjectOnGaugeGroup(arg, group_name());
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}
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/*
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template <int N> // reunitarise, resimplectify...
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static void ProjectOnGaugeGroup(iVector<iScalar<iMatrix<vComplexD, N> >, Nd> &U) {
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ProjectOnGaugeGroup(U, group_name());
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}
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template <int N> // reunitarise, resimplectify...
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static void ProjectOnGaugeGroup(iScalar<iScalar<iMatrix<vComplexD, N> > > &Umu) {
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ProjectOnGaugeGroup(Umu, group_name());
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}*/
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template <class vtype, int N>
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static void ProjectOnGaugeGroup(iVector<vtype,N> &r) {
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r = ProjectOnGaugeGroup(r, group_name());
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}
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template <class vtype,int N, typename std::enable_if< GridTypeMapper<vtype>::TensorLevel == 0 >::type * =nullptr>
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static void ProjectOnGaugeGroup(iMatrix<vtype,N> &arg) {
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arg = ProjectOnGaugeGroup(arg, group_name());
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}
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template <int N> // reunitarise, resimplectify... previously ProjectSUn
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static void ProjectGn(Lattice<iScalar<iScalar<iMatrix<vComplexD, N> > > > &Umu) {
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@ -413,7 +400,6 @@ LatticeComplexD Determinant(
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return ret;
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}
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template <int N>
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static void ProjectSUn(
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Lattice<iScalar<iScalar<iMatrix<vComplexD, N> > > > &Umu) {
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@ -538,24 +538,6 @@ static void ProjectOnGaugeGroup(iMatrix<vtype,N> &arg, GroupName::SU) {
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arg = ProjectOnGroup(arg);
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}
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/*
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template <int N> // non-lattice objects
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static void ProjectOnGaugeGroup(iScalar<iScalar<iMatrix<vComplexD, N> > > &Umu, GroupName::SU) {
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Umu = ProjectOnGroup(Umu);
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}
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template <int N>
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static void ProjectOnGaugeGroup(iVector<iScalar<iMatrix<vComplexD, N> >, Nd> &U, GroupName::SU) {
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// Reunitarise
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for (int mu = 0; mu < Nd; mu++) {
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auto Umu = PeekIndex<LorentzIndex>(U, mu);
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Umu = ProjectOnGroup(Umu);
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}
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}*/
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template <typename LatticeMatrixType>
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static void taProj(const LatticeMatrixType &in, LatticeMatrixType &out, GroupName::SU) {
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out = Ta(in);
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@ -282,21 +282,6 @@ static void ProjectOnGaugeGroup(iMatrix<vtype,N> &arg, GroupName::Sp) {
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arg = ProjectOnSpGroup(arg);
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}
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/*
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template <int N> // non-lattice objects
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static void ProjectOnGaugeGroup(iScalar<iScalar<iMatrix<vComplexD, N> > > &Umu, GroupName::Sp) {
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Umu = ProjectOnSpGroup(Umu);
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}
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template <int N>
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static void ProjectOnGaugeGroup(iVector<iScalar<iMatrix<vComplexD, N> >, Nd> &U, GroupName::Sp) {
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// Reunitarise
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for (int mu = 0; mu < Nd; mu++) {
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auto Umu = PeekIndex<LorentzIndex>(U, mu);
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Umu = ProjectOnSpGroup(Umu);
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}
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}*/
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template <typename LatticeMatrixType>
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static void taProj(const LatticeMatrixType &in, LatticeMatrixType &out, GroupName::Sp) {
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out = SpTa(in);
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@ -84,47 +84,44 @@ template<class vtype,int N> accelerator_inline iVector<vtype,N> SpTa(const iVect
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}
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template<class vtype,int N, typename std::enable_if< GridTypeMapper<vtype>::TensorLevel == 0 >::type * =nullptr> accelerator_inline iMatrix<vtype,N> SpTa(const iMatrix<vtype,N> &arg)
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{
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// Generalises Ta to Sp2n
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// Applies the following projections
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// P_{antihermitian} P_{antihermitian-Sp-algebra} P_{traceless}
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// where the ordering matters
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// P_{traceless} subtracts the trace
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// P_{antihermitian-Sp-algebra} provides the block structure of the algebra based on U = exp(T) i.e. anti-hermitian generators
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// P_{antihermitian} does in-adj(in) / 2
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iMatrix<vtype,N> ret(arg);
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double factor = (1.0/(double)N);
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vtype nrm;
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nrm = 0.5;
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// Generalises Ta to Sp2n
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// Applies the following projections
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// P_{antihermitian} P_{antihermitian-Sp-algebra} P_{traceless}
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// where the ordering matters
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// P_{traceless} subtracts the trace
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// P_{antihermitian-Sp-algebra} provides the block structure of the algebra based on U = exp(T) i.e. anti-hermitian generators
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// P_{antihermitian} does in-adj(in) / 2
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iMatrix<vtype,N> ret(arg);
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double factor = (1.0/(double)N);
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vtype nrm;
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nrm = 0.5;
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ret = arg - (trace(arg)*factor);
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ret = arg - (trace(arg)*factor);
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for(int c1=0;c1<N/2;c1++)
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{
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for(int c2=0;c2<N/2;c2++)
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{
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ret._internal[c1][c2] = nrm*(conjugate(ret._internal[c1+N/2][c2+N/2]) + ret._internal[c1][c2]); // new[up-left] = old[up-left]+old*[down-right]
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ret._internal[c1][c2+N/2] = nrm*(ret._internal[c1][c2+N/2] - conjugate(ret._internal[c1+N/2][c2])); // new[up-right] = old[up-right]-old*[down-left]
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}
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for(int c2=N/2;c2<N;c2++)
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{
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ret._internal[c1+N/2][c2-N/2] = -conjugate(ret._internal[c1][c2]); // reconstructs lower blocks
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ret._internal[c1+N/2][c2] = conjugate(ret._internal[c1][c2-N/2]); // from upper blocks
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}
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}
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for(int c1=0;c1<N/2;c1++)
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{
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for(int c2=0;c2<N/2;c2++)
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{
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ret._internal[c1][c2] = nrm*(conjugate(ret._internal[c1+N/2][c2+N/2]) + ret._internal[c1][c2]); // new[up-left] = old[up-left]+old*[down-right]
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ret._internal[c1][c2+N/2] = nrm*(ret._internal[c1][c2+N/2] - conjugate(ret._internal[c1+N/2][c2])); // new[up-right] = old[up-right]-old*[down-left]
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}
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for(int c2=N/2;c2<N;c2++)
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{
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ret._internal[c1+N/2][c2-N/2] = -conjugate(ret._internal[c1][c2]); // reconstructs lower blocks
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ret._internal[c1+N/2][c2] = conjugate(ret._internal[c1][c2-N/2]); // from upper blocks
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}
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}
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ret = (ret - adj(ret))*0.5;
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ret = (ret - adj(ret))*0.5;
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return ret;
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return ret;
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}
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///////////////////////////////////////////////
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// ProjectOnGroup function for scalar, vector, matrix
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// Projects on orthogonal, unitary group
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///////////////////////////////////////////////
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template<class vtype> accelerator_inline iScalar<vtype> ProjectOnGroup(const iScalar<vtype>&r)
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{
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iScalar<vtype> ret;
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@ -47,7 +47,7 @@ using namespace Grid;
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int main(int argc, char** argv) {
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Grid_init(&argc, &argv);
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std::vector<int> latt({4, 4, 4, 8});
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GridCartesian* grid = SpaceTimeGrid::makeFourDimGrid(
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latt, GridDefaultSimd(Nd, vComplex::Nsimd()), GridDefaultMpi());
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@ -36,7 +36,7 @@ using namespace Grid;
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int main (int argc, char ** argv)
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{
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Grid_init(&argc,&argv);
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std::vector<int> latt({8,8,8,8});
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GridCartesian * grid = SpaceTimeGrid::makeFourDimGrid(latt,
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GridDefaultSimd(Nd,vComplexD::Nsimd()),
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//latt, GridDefaultSimd(Nd, vComplex::Nsimd()), GridDefaultMpi());
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//GridRedBlackCartesian* rbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(grid);
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std::cout << GridLogMessage << "*********************************************"
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std::cout << GridLogMessage << "*********************************************"
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<< std::endl;
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std::cout << GridLogMessage << "* Generators for Sp(2)" << std::endl;
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std::cout << GridLogMessage << "*********************************************"
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std::cout << GridLogMessage << "* Generators for Sp(2)" << std::endl;
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std::cout << GridLogMessage << "*********************************************"
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<< std::endl;
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Sp2::printGenerators();
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Sp2::testGenerators();
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Sp2::printGenerators();
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Sp2::testGenerators();
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std::cout << GridLogMessage << "*********************************************"
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<< std::endl;
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@ -46,6 +46,5 @@ int main(int argc, char** argv) {
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Sp8::printGenerators();
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Sp8::testGenerators();
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Grid_finalize();
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}
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