Somewhat better wrapped support for Icosahedral

First cut at stencil

BLAS_benchmark/compile-command

@@ -0,0 +1,2 @@
+
+mpicxx -qmkl=parallel -fsycl BatchBlasBench.cc -o BatchBlasBench -DGRID_SYCL

BLAS_benchmark/compile-command-frontier

@@ -0,0 +1,5 @@
+CXX=hipcc
+MPICXX=mpicxx 
+CXXFLAGS="-fPIC -I{$ROCM_PATH}/include/ -I${MPICH_DIR}/include -L/lib64 -I/opt/cray/pe/mpich/8.1.28/ofi/gnu/12.3/include -DGRID_HIP"
+LDFLAGS="-L/lib64 -L${MPICH_DIR}/lib -lmpi -L${CRAY_MPICH_ROOTDIR}/gtl/lib -lmpi_gtl_hsa -lamdhip64 -lhipblas -lrocblas -lmpi_gnu_123"
+hipcc $CXXFLAGS $LDFLAGS BatchBlasBench.cc -o BatchBlasBench

BLAS_benchmark/compile-command-sunspot

@@ -0,0 +1,2 @@
+
+mpicxx -qmkl=parallel -fsycl BatchBlasBench.cc -o BatchBlasBench -DGRID_SYCL

Grid/GridQCDcore.h

@@ -37,6 +37,7 @@ Author: paboyle <paboyle@ph.ed.ac.uk>
 #include <Grid/qcd/QCD.h>
 #include <Grid/qcd/spin/Spin.h>
 #include <Grid/qcd/gparity/Gparity.h>
+#include <Grid/qcd/spin/Pauli.h> // depends on Gparity
 #include <Grid/qcd/utils/Utils.h>
 #include <Grid/qcd/representations/Representations.h>
 NAMESPACE_CHECK(GridQCDCore);

Grid/Namespace.h

@@ -30,9 +30,14 @@ directory
 
 #include <type_traits>
 #include <cassert>
+#include <exception>
 
 #define NAMESPACE_BEGIN(A) namespace A {
 #define NAMESPACE_END(A)   }
 #define GRID_NAMESPACE_BEGIN NAMESPACE_BEGIN(Grid)
 #define GRID_NAMESPACE_END   NAMESPACE_END(Grid)
 #define NAMESPACE_CHECK(x) struct namespaceTEST##x {};  static_assert(std::is_same<namespaceTEST##x, ::namespaceTEST##x>::value,"Not in :: at"  ); 
+
+#define EXCEPTION_CHECK_BEGIN(A) try {
+#define EXCEPTION_CHECK_END(A)   } catch ( std::exception e ) { BACKTRACEFP(stderr); std::cerr << __PRETTY_FUNCTION__ << " : " <<__LINE__<< " Caught exception "<<e.what()<<std::endl; throw; }
+

Grid/algorithms/Algorithms.h

@@ -50,6 +50,7 @@ NAMESPACE_CHECK(approx);
 #include <Grid/algorithms/deflation/Deflation.h>
 #include <Grid/algorithms/deflation/MultiRHSBlockProject.h>
 #include <Grid/algorithms/deflation/MultiRHSDeflation.h>
+#include <Grid/algorithms/deflation/MultiRHSBlockCGLinalg.h>
 NAMESPACE_CHECK(deflation);
 #include <Grid/algorithms/iterative/ConjugateGradient.h>
 NAMESPACE_CHECK(ConjGrad);

Grid/algorithms/FFT.h

@@ -168,6 +168,7 @@ public:
   template<class vobj>
   void FFT_dim(Lattice<vobj> &result,const Lattice<vobj> &source,int dim, int sign){
 #ifndef HAVE_FFTW
+    std::cerr << "FFTW is not compiled but is called"<<std::endl;
     assert(0);
 #else
     conformable(result.Grid(),vgrid);
@@ -190,6 +191,7 @@ public:
       
     Lattice<sobj> pgbuf(&pencil_g);
     autoView(pgbuf_v , pgbuf, CpuWrite);
+    //std::cout << "CPU view" << std::endl;
     
     typedef typename FFTW<scalar>::FFTW_scalar FFTW_scalar;
     typedef typename FFTW<scalar>::FFTW_plan   FFTW_plan;
@@ -213,6 +215,7 @@ public:
     else if ( sign == forward ) div = 1.0;
     else assert(0);
       
+    //std::cout << GridLogPerformance<<"Making FFTW plan" << std::endl;
     FFTW_plan p;
     {
       FFTW_scalar *in = (FFTW_scalar *)&pgbuf_v[0];
@@ -226,6 +229,7 @@ public:
     }
       
     // Barrel shift and collect global pencil
+    //std::cout << GridLogPerformance<<"Making pencil" << std::endl;
     Coordinate lcoor(Nd), gcoor(Nd);
     result = source;
     int pc = processor_coor[dim];
@@ -247,6 +251,7 @@ public:
       }
     }
       
+    //std::cout <<GridLogPerformance<< "Looping orthog" << std::endl;
     // Loop over orthog coords
     int NN=pencil_g.lSites();
     GridStopWatch timer;
@@ -269,6 +274,7 @@ public:
     usec += timer.useconds();
     flops+= flops_call*NN;
       
+    //std::cout <<GridLogPerformance<< "Writing back results " << std::endl;
     // writing out result
     {
       autoView(pgbuf_v,pgbuf,CpuRead);
@@ -285,6 +291,7 @@ public:
     }
     result = result*div;
       
+    //std::cout <<GridLogPerformance<< "Destroying plan " << std::endl;
     // destroying plan
     FFTW<scalar>::fftw_destroy_plan(p);
 #endif

Grid/algorithms/LinearOperator.h

@@ -103,6 +103,38 @@ public:
     _Mat.MdagM(in,out);
   }
 };
+template<class Matrix,class Field>
+class MMdagLinearOperator : public LinearOperatorBase<Field> {
+  Matrix &_Mat;
+public:
+  MMdagLinearOperator(Matrix &Mat): _Mat(Mat){};
+
+  // Support for coarsening to a multigrid
+  void OpDiag (const Field &in, Field &out) {
+    _Mat.Mdiag(in,out);
+  }
+  void OpDir  (const Field &in, Field &out,int dir,int disp) {
+    _Mat.Mdir(in,out,dir,disp);
+  }
+  void OpDirAll  (const Field &in, std::vector<Field> &out){
+    _Mat.MdirAll(in,out);
+  };
+  void Op     (const Field &in, Field &out){
+    _Mat.M(in,out);
+  }
+  void AdjOp     (const Field &in, Field &out){
+    _Mat.Mdag(in,out);
+  }
+  void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2){
+    _Mat.MMdag(in,out);
+    ComplexD dot = innerProduct(in,out);
+    n1=real(dot);
+    n2=norm2(out);
+  }
+  void HermOp(const Field &in, Field &out){
+    _Mat.MMdag(in,out);
+  }
+};
 
 ////////////////////////////////////////////////////////////////////
 // Construct herm op and shift it for mgrid smoother
@@ -245,6 +277,38 @@ public:
     assert(0);
   }
 };
+template<class Matrix,class Field>
+class ShiftedNonHermitianLinearOperator : public LinearOperatorBase<Field> {
+  Matrix &_Mat;
+  RealD shift;
+public:
+  ShiftedNonHermitianLinearOperator(Matrix &Mat,RealD shft): _Mat(Mat),shift(shft){};
+  // Support for coarsening to a multigrid
+  void OpDiag (const Field &in, Field &out) {
+    _Mat.Mdiag(in,out);
+    out = out + shift*in;
+  }
+  void OpDir  (const Field &in, Field &out,int dir,int disp) {
+    _Mat.Mdir(in,out,dir,disp);
+  }
+  void OpDirAll  (const Field &in, std::vector<Field> &out){
+    _Mat.MdirAll(in,out);
+  };
+  void Op     (const Field &in, Field &out){
+    _Mat.M(in,out);
+    out = out + shift * in;
+  }
+  void AdjOp     (const Field &in, Field &out){
+    _Mat.Mdag(in,out);
+    out = out + shift * in;
+  }
+  void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2){
+    assert(0);
+  }
+  void HermOp(const Field &in, Field &out){
+    assert(0);
+  }
+};
 
 //////////////////////////////////////////////////////////
 // Even Odd Schur decomp operators; there are several

Grid/algorithms/SparseMatrix.h

@@ -45,6 +45,11 @@ public:
     M(in,tmp);
     Mdag(tmp,out);
   }
+  virtual void  MMdag(const Field &in, Field &out) {
+    Field tmp (in.Grid());
+    Mdag(in,tmp);
+    M(tmp,out);
+  }
   virtual  void Mdiag    (const Field &in, Field &out)=0;
   virtual  void Mdir     (const Field &in, Field &out,int dir, int disp)=0;
   virtual  void MdirAll  (const Field &in, std::vector<Field> &out)=0;

Grid/algorithms/approx/Chebyshev.h

@@ -59,7 +59,7 @@ public:
     RealD diff = hi-lo;
     RealD delta = diff*1.0e-9;
     for (RealD x=lo; x<hi; x+=delta) {
-      delta*=1.1;
+      delta*=1.02;
       RealD f = approx(x);
       out<< x<<" "<<f<<std::endl;
     }
@@ -131,6 +131,26 @@ public:
       Coeffs[j] = s * 2.0/order;
     }
   };
+  template<class functor>
+  void Init(RealD _lo,RealD _hi,int _order, functor & func)
+  {
+    lo=_lo;
+    hi=_hi;
+    order=_order;
+      
+    if(order < 2) exit(-1);
+    Coeffs.resize(order);
+    for(int j=0;j<order;j++){
+      RealD s=0;
+      for(int k=0;k<order;k++){
+	RealD y=std::cos(M_PI*(k+0.5)/order);
+	RealD x=0.5*(y*(hi-lo)+(hi+lo));
+	RealD f=func(x);
+	s=s+f*std::cos( j*M_PI*(k+0.5)/order );
+      }
+      Coeffs[j] = s * 2.0/order;
+    }
+  };
 
     
   void JacksonSmooth(void){
@@ -249,7 +269,9 @@ public:
     RealD xscale = 2.0/(hi-lo);
     RealD mscale = -(hi+lo)/(hi-lo);
     Linop.HermOp(T0,y);
+    grid->Barrier();
     axpby(T1,xscale,mscale,y,in);
+    grid->Barrier();
 
     // sum = .5 c[0] T0 + c[1] T1
     //    out = ()*T0 + Coeffs[1]*T1;

Grid/algorithms/blas/BatchedBlas.h

@@ -55,10 +55,10 @@ NAMESPACE_BEGIN(Grid);
   typedef cublasHandle_t gridblasHandle_t;
 #endif
 #ifdef GRID_SYCL
-  typedef cl::sycl::queue *gridblasHandle_t;
+  typedef sycl::queue *gridblasHandle_t;
 #endif
 #ifdef GRID_ONE_MKL
-  typedef cl::sycl::queue *gridblasHandle_t;
+  typedef sycl::queue *gridblasHandle_t;
 #endif
 #if !defined(GRID_SYCL) && !defined(GRID_CUDA) && !defined(GRID_HIP) && !defined(GRID_ONE_MKL)
   typedef int32_t gridblasHandle_t;
@@ -89,9 +89,10 @@ public:
       gridblasHandle = theGridAccelerator;
 #endif
 #ifdef GRID_ONE_MKL
-      cl::sycl::cpu_selector selector;
+      sycl::gpu_selector selector;
-      cl::sycl::device selectedDevice { selector };
+      sycl::device selectedDevice { selector };
-      gridblasHandle =new sycl::queue (selectedDevice);
+      sycl::property_list q_prop{sycl::property::queue::in_order()};
+      gridblasHandle =new sycl::queue (selectedDevice,q_prop);
 #endif
       gridblasInit=1;
     }
@@ -207,6 +208,9 @@ public:
     assert(Bkn.size()==batchCount);
     assert(Cmn.size()==batchCount);
 
+    //assert(OpA!=GridBLAS_OP_T); // Complex case expect no transpose
+    //assert(OpB!=GridBLAS_OP_T);
+
     int lda = m; // m x k column major
     int ldb = k; // k x n column major
     int ldc = m; // m x b column major
@@ -266,26 +270,169 @@ public:
     assert(err==CUBLAS_STATUS_SUCCESS);
 #endif
 #ifdef GRID_SYCL
-    //MKL’s cblas_<T>gemm_batch & OneAPI
+      int64_t m64=m;
-#warning "oneMKL implementation not built "
+      int64_t n64=n;
-#endif
+      int64_t k64=k;
-#if !defined(GRID_SYCL) && !defined(GRID_CUDA) && !defined(GRID_HIP)
+      int64_t lda64=lda;
-    // Need a default/reference implementation
+      int64_t ldb64=ldb;
-    int sda = lda*k;
+      int64_t ldc64=ldc;
-    int sdb = ldb*k;
+      int64_t batchCount64=batchCount;
-    int sdc = ldc*n;
+
-    for (int p = 0; p < batchCount; ++p) {
+      oneapi::mkl::transpose iOpA;
+      oneapi::mkl::transpose iOpB;
+      
+      if ( OpA == GridBLAS_OP_N ) iOpA = oneapi::mkl::transpose::N;
+      if ( OpA == GridBLAS_OP_T ) iOpA = oneapi::mkl::transpose::T;
+      if ( OpA == GridBLAS_OP_C ) iOpA = oneapi::mkl::transpose::C;
+      if ( OpB == GridBLAS_OP_N ) iOpB = oneapi::mkl::transpose::N;
+      if ( OpB == GridBLAS_OP_T ) iOpB = oneapi::mkl::transpose::T;
+      if ( OpB == GridBLAS_OP_C ) iOpB = oneapi::mkl::transpose::C;
+
+      oneapi::mkl::blas::column_major::gemm_batch(*gridblasHandle,
+						  &iOpA,
+						  &iOpB,
+						  &m64,&n64,&k64,
+						  (ComplexD *) &alpha_p[0],
+						  (const ComplexD **)&Amk[0], (const int64_t *)&lda64,
+						  (const ComplexD **)&Bkn[0], (const int64_t *)&ldb64,
+						  (ComplexD *) &beta_p[0],
+						  (ComplexD **)&Cmn[0], (const int64_t *)&ldc64,
+						  (int64_t)1,&batchCount64,std::vector<sycl::event>());
+      synchronise();
+#if 0
+      // This code was used to check the mat mul on Sunspot/OneMKL
+      std::cerr << " Called SYCL batched ZGEMM OpA "<< OpA << " OpB "<<OpB <<std::endl;
+      std::vector<ComplexD> A(m*k);  // pointer list to matrices
+      std::vector<ComplexD> B(k*n);
+      std::vector<ComplexD> C(m*n);
+      //      int sda = lda*k;
+      //      int sdb = ldb*k;
+      //      int sdc = ldc*n;
+      std::cerr << " Checking the GEMM results "<<std::endl;
+      for (int p = 0; p < 1; ++p) {
+	ComplexD * Amk_p;  // pointer list to matrices
+	ComplexD * Bkn_p;  // pointer list to matrices
+	ComplexD * Cmn_p;  // pointer list to matrices
+	acceleratorCopyFromDevice((void *)&Amk[p],(void *)&Amk_p,sizeof(ComplexD*));
+	acceleratorCopyFromDevice((void *)&Bkn[p],(void *)&Bkn_p,sizeof(ComplexD*));
+	acceleratorCopyFromDevice((void *)&Cmn[p],(void *)&Cmn_p,sizeof(ComplexD*));
+	std::cerr << " p " << p << " copied pointers "<<std::endl;
+	acceleratorCopyFromDevice((void *)Amk_p,(void *)&A[0],m*k*sizeof(ComplexD));
+	acceleratorCopyFromDevice((void *)Bkn_p,(void *)&B[0],k*n*sizeof(ComplexD));
+	acceleratorCopyFromDevice((void *)Cmn_p,(void *)&C[0],m*n*sizeof(ComplexD));
+	std::cerr << " p " << p << " copied matrices "<<std::endl;
+	std::cerr << " C[0] "<<C[0]<<std::endl;
+	std::cerr << " A[0] "<<A[0]<<std::endl;
+	std::cerr << " B[0] "<<B[0]<<std::endl;
+	std::cerr << " m "<<m<<std::endl;
+	std::cerr << " n "<<n<<std::endl;
+	std::cerr << " k "<<k<<std::endl;
 	for (int mm = 0; mm < m; ++mm) {
 	  for (int nn = 0; nn < n; ++nn) {
 	    ComplexD c_mn(0.0);
-	  for (int kk = 0; kk < k; ++kk)
+	    for (int kk = 0; kk < k; ++kk) {
-	    c_mn += Amk[p][mm + kk*lda ] * Bkn[p][kk + nn*ldb];
+	      int idx_a, idx_b;
-	  Cmn[p][mm + nn*ldc] =  (alpha)*c_mn + (beta)*Cmn[p][mm + nn*ldc ];
+	      //    int lda = m; // m x k column major
+	      //    int ldb = k; // k x n column major
+	      //    int ldc = m; // m x b column major
+	      if(OpA!=GridBLAS_OP_N) {
+		idx_a =kk + mm*lda;
+	      } else {
+		idx_a =mm + kk*lda;
+	      }
+	      if(OpB!=GridBLAS_OP_N) {
+		idx_b =nn + kk*ldb;
+	      } else {
+		idx_b =kk + nn*ldb;
+	      }
+	      //	      std::cerr << " idx_a "<<idx_a<<" idx_b "<<idx_b<<std::endl;
+
+	      ComplexD Ac = A[idx_a];
+	      ComplexD Bc = B[idx_b];
+	      if(OpA==GridBLAS_OP_C) Ac = conjugate(Ac);
+	      if(OpB==GridBLAS_OP_C) Bc = conjugate(Bc);
+	      
+	      c_mn += Ac*Bc;
+	    }
+	    std::cerr << " beta "<<beta<<" alpha "<<alpha<<" C_"<<mm<<","<<nn<<" "<<c_mn<<" "<<C[mm + nn*ldc]<<std::endl;
 	  }
 	}
       }
 #endif
-    //    synchronise();
+#endif
+#if !defined(GRID_SYCL) && !defined(GRID_CUDA) && !defined(GRID_HIP)
+    // Need a default/reference implementation; use Eigen
+      if ( (OpA == GridBLAS_OP_N ) && (OpB == GridBLAS_OP_N) ) {
+	thread_for (p, batchCount, {
+	  Eigen::Map<Eigen::MatrixXcd> eAmk(Amk[p],m,k);
+	  Eigen::Map<Eigen::MatrixXcd> eBkn(Bkn[p],k,n);
+	  Eigen::Map<Eigen::MatrixXcd> eCmn(Cmn[p],m,n);
+	  if (std::abs(beta) != 0.0)
+	    eCmn = beta * eCmn + alpha * eAmk * eBkn ;
+	  else
+	    eCmn = alpha * eAmk * eBkn ;
+        });
+      } else if ( (OpA == GridBLAS_OP_C ) && (OpB == GridBLAS_OP_N) ) {
+	thread_for (p, batchCount, {
+	  Eigen::Map<Eigen::MatrixXcd> eAmk(Amk[p],k,m);
+	  Eigen::Map<Eigen::MatrixXcd> eBkn(Bkn[p],k,n);
+	  Eigen::Map<Eigen::MatrixXcd> eCmn(Cmn[p],m,n);
+	  if (std::abs(beta) != 0.0)
+	    eCmn = beta * eCmn + alpha * eAmk.adjoint() * eBkn ;
+	  else
+	    eCmn = alpha * eAmk.adjoint() * eBkn ;
+	  });
+      } else if ( (OpA == GridBLAS_OP_T ) && (OpB == GridBLAS_OP_N) ) {
+	thread_for (p, batchCount, {
+	  Eigen::Map<Eigen::MatrixXcd> eAmk(Amk[p],k,m);
+	  Eigen::Map<Eigen::MatrixXcd> eBkn(Bkn[p],k,n);
+	  Eigen::Map<Eigen::MatrixXcd> eCmn(Cmn[p],m,n);
+	  if (std::abs(beta) != 0.0)
+	    eCmn = beta * eCmn + alpha * eAmk.transpose() * eBkn ;
+	  else
+	    eCmn = alpha * eAmk.transpose() * eBkn ;
+	  });
+      } else if ( (OpA == GridBLAS_OP_N ) && (OpB == GridBLAS_OP_C) ) {
+	thread_for (p, batchCount, {
+	  Eigen::Map<Eigen::MatrixXcd> eAmk(Amk[p],m,k);
+	  Eigen::Map<Eigen::MatrixXcd> eBkn(Bkn[p],n,k);
+	  Eigen::Map<Eigen::MatrixXcd> eCmn(Cmn[p],m,n);
+	  if (std::abs(beta) != 0.0)
+	    eCmn = beta * eCmn + alpha * eAmk * eBkn.adjoint() ;
+	  else
+	    eCmn = alpha * eAmk * eBkn.adjoint() ;
+	  });
+      } else if ( (OpA == GridBLAS_OP_N ) && (OpB == GridBLAS_OP_T) ) {
+	thread_for (p, batchCount, {
+	  Eigen::Map<Eigen::MatrixXcd> eAmk(Amk[p],m,k);
+	  Eigen::Map<Eigen::MatrixXcd> eBkn(Bkn[p],n,k);
+	  Eigen::Map<Eigen::MatrixXcd> eCmn(Cmn[p],m,n);
+	  eCmn = beta * eCmn + alpha * eAmk * eBkn.transpose() ;
+	  });
+      } else if ( (OpA == GridBLAS_OP_C ) && (OpB == GridBLAS_OP_C) ) {
+	thread_for (p, batchCount, {
+	  Eigen::Map<Eigen::MatrixXcd> eAmk(Amk[p],k,m);
+	  Eigen::Map<Eigen::MatrixXcd> eBkn(Bkn[p],n,k);
+	  Eigen::Map<Eigen::MatrixXcd> eCmn(Cmn[p],m,n);
+	  if (std::abs(beta) != 0.0)
+	    eCmn = beta * eCmn + alpha * eAmk.adjoint() * eBkn.adjoint() ;
+	  else
+	    eCmn = alpha * eAmk.adjoint() * eBkn.adjoint() ;
+	  } );
+      } else if ( (OpA == GridBLAS_OP_T ) && (OpB == GridBLAS_OP_T) ) {
+	thread_for (p, batchCount, {
+	  Eigen::Map<Eigen::MatrixXcd> eAmk(Amk[p],k,m);
+	  Eigen::Map<Eigen::MatrixXcd> eBkn(Bkn[p],n,k);
+	  Eigen::Map<Eigen::MatrixXcd> eCmn(Cmn[p],m,n);
+	  if (std::abs(beta) != 0.0)
+	    eCmn = beta * eCmn + alpha * eAmk.transpose() * eBkn.transpose() ;
+	  else
+	    eCmn = alpha * eAmk.transpose() * eBkn.transpose() ;
+	  } );
+      } else { 
+	assert(0);
+      }
+#endif
      RealD t1=usecond();
      RealD flops = 8.0*m*n*k*batchCount;
      RealD bytes = 1.0*sizeof(ComplexD)*(m*k+k*n+m*n)*batchCount;
@@ -306,6 +453,9 @@ public:
     RealD t2=usecond();
     int32_t batchCount = Amk.size();
 
+    //assert(OpA!=GridBLAS_OP_T); // Complex case expect no transpose
+    //assert(OpB!=GridBLAS_OP_T);
+
     int lda = m; // m x k column major
     int ldb = k; // k x n column major
     int ldc = m; // m x b column major
@@ -366,25 +516,110 @@ public:
     assert(err==CUBLAS_STATUS_SUCCESS);
 #endif
 #ifdef GRID_SYCL
-    //MKL’s cblas_<T>gemm_batch & OneAPI
+      int64_t m64=m;
-#warning "oneMKL implementation not built "
+      int64_t n64=n;
+      int64_t k64=k;
+      int64_t lda64=lda;
+      int64_t ldb64=ldb;
+      int64_t ldc64=ldc;
+      int64_t batchCount64=batchCount;
+
+      oneapi::mkl::transpose iOpA;
+      oneapi::mkl::transpose iOpB;
+      
+      if ( OpA == GridBLAS_OP_N ) iOpA = oneapi::mkl::transpose::N;
+      if ( OpA == GridBLAS_OP_T ) iOpA = oneapi::mkl::transpose::T;
+      if ( OpA == GridBLAS_OP_C ) iOpA = oneapi::mkl::transpose::C;
+      if ( OpB == GridBLAS_OP_N ) iOpB = oneapi::mkl::transpose::N;
+      if ( OpB == GridBLAS_OP_T ) iOpB = oneapi::mkl::transpose::T;
+      if ( OpB == GridBLAS_OP_C ) iOpB = oneapi::mkl::transpose::C;
+
+      oneapi::mkl::blas::column_major::gemm_batch(*gridblasHandle,
+						  &iOpA,
+						  &iOpB,
+						  &m64,&n64,&k64,
+						  (ComplexF *) &alpha_p[0],
+						  (const ComplexF **)&Amk[0], (const int64_t *)&lda64,
+						  (const ComplexF **)&Bkn[0], (const int64_t *)&ldb64,
+						  (ComplexF *) &beta_p[0],
+						  (ComplexF **)&Cmn[0], (const int64_t *)&ldc64,
+						  (int64_t)1,&batchCount64,std::vector<sycl::event>());
+    synchronise();
 #endif
 #if !defined(GRID_SYCL) && !defined(GRID_CUDA) && !defined(GRID_HIP)
-    int sda = lda*k;
+    // Need a default/reference implementation; use Eigen
-    int sdb = ldb*k;
+      if ( (OpA == GridBLAS_OP_N ) && (OpB == GridBLAS_OP_N) ) {
-    int sdc = ldc*n;
+	thread_for (p, batchCount, {
-    ComplexF alphaf(real(alpha),imag(alpha));
+	  Eigen::Map<Eigen::MatrixXcf> eAmk(Amk[p],m,k);
-    ComplexF betaf(real(beta),imag(beta));
+	  Eigen::Map<Eigen::MatrixXcf> eBkn(Bkn[p],k,n);
-    // Need a default/reference implementation
+	  Eigen::Map<Eigen::MatrixXcf> eCmn(Cmn[p],m,n);
-    for (int p = 0; p < batchCount; ++p) {
+	  if (std::abs(beta) != 0.0)
-      for (int mm = 0; mm < m; ++mm) {
+	    eCmn = beta * eCmn + alpha * eAmk * eBkn ;
-	for (int nn = 0; nn < n; ++nn) {
+	  else
-	  ComplexF c_mn(0.0);
+	    eCmn = alpha * eAmk * eBkn ;
-	  for (int kk = 0; kk < k; ++kk)
+	  });
-	    c_mn += Amk[p][mm + kk*lda ] * Bkn[p][kk + nn*ldb];
+      } else if ( (OpA == GridBLAS_OP_C ) && (OpB == GridBLAS_OP_N) ) {
-	  Cmn[p][mm + nn*ldc] =  (alphaf)*c_mn + (betaf)*Cmn[p][mm + nn*ldc ];
+	thread_for (p, batchCount, {
-	}
+	  Eigen::Map<Eigen::MatrixXcf> eAmk(Amk[p],k,m);
-      }
+	  Eigen::Map<Eigen::MatrixXcf> eBkn(Bkn[p],k,n);
+	  Eigen::Map<Eigen::MatrixXcf> eCmn(Cmn[p],m,n);
+	  if (std::abs(beta) != 0.0)
+	    eCmn = beta * eCmn + alpha * eAmk.adjoint() * eBkn ;
+	  else
+	    eCmn = alpha * eAmk.adjoint() * eBkn ;
+	  });
+      } else if ( (OpA == GridBLAS_OP_T ) && (OpB == GridBLAS_OP_N) ) {
+	thread_for (p, batchCount, {
+	  Eigen::Map<Eigen::MatrixXcf> eAmk(Amk[p],k,m);
+	  Eigen::Map<Eigen::MatrixXcf> eBkn(Bkn[p],k,n);
+	  Eigen::Map<Eigen::MatrixXcf> eCmn(Cmn[p],m,n);
+	  if (std::abs(beta) != 0.0)
+	    eCmn = beta * eCmn + alpha * eAmk.transpose() * eBkn ;
+	  else
+	    eCmn = alpha * eAmk.transpose() * eBkn ;
+	  });
+      } else if ( (OpA == GridBLAS_OP_N ) && (OpB == GridBLAS_OP_C) ) {
+	thread_for (p, batchCount, {
+	  Eigen::Map<Eigen::MatrixXcf> eAmk(Amk[p],m,k);
+	  Eigen::Map<Eigen::MatrixXcf> eBkn(Bkn[p],n,k);
+	  Eigen::Map<Eigen::MatrixXcf> eCmn(Cmn[p],m,n);
+	  if (std::abs(beta) != 0.0)
+	    eCmn = beta * eCmn + alpha * eAmk * eBkn.adjoint() ;
+	  else
+	    eCmn = alpha * eAmk * eBkn.adjoint() ;
+	  });
+      } else if ( (OpA == GridBLAS_OP_N ) && (OpB == GridBLAS_OP_T) ) {
+	thread_for (p, batchCount, {
+	  Eigen::Map<Eigen::MatrixXcf> eAmk(Amk[p],m,k);
+	  Eigen::Map<Eigen::MatrixXcf> eBkn(Bkn[p],n,k);
+	  Eigen::Map<Eigen::MatrixXcf> eCmn(Cmn[p],m,n);
+	  if (std::abs(beta) != 0.0)
+	    eCmn = beta * eCmn + alpha * eAmk * eBkn.transpose() ;
+	  else
+	    eCmn = alpha * eAmk * eBkn.transpose() ;
+	  });
+      } else if ( (OpA == GridBLAS_OP_C ) && (OpB == GridBLAS_OP_C) ) {
+	thread_for (p, batchCount, {
+	  Eigen::Map<Eigen::MatrixXcf> eAmk(Amk[p],k,m);
+	  Eigen::Map<Eigen::MatrixXcf> eBkn(Bkn[p],n,k);
+	  Eigen::Map<Eigen::MatrixXcf> eCmn(Cmn[p],m,n);
+	  if (std::abs(beta) != 0.0)
+	    eCmn = beta * eCmn + alpha * eAmk.adjoint() * eBkn.adjoint() ;
+	  else
+	    eCmn = alpha * eAmk.adjoint() * eBkn.adjoint() ;
+	  } );
+      } else if ( (OpA == GridBLAS_OP_T ) && (OpB == GridBLAS_OP_T) ) {
+	thread_for (p, batchCount, {
+	  Eigen::Map<Eigen::MatrixXcf> eAmk(Amk[p],k,m);
+	  Eigen::Map<Eigen::MatrixXcf> eBkn(Bkn[p],n,k);
+	  Eigen::Map<Eigen::MatrixXcf> eCmn(Cmn[p],m,n);
+	  if (std::abs(beta) != 0.0)
+	    eCmn = beta * eCmn + alpha * eAmk.transpose() * eBkn.transpose() ;
+	  else
+	    eCmn = alpha * eAmk.transpose() * eBkn.transpose() ;
+	  } );
+      } else { 
+	assert(0);
       }
 #endif
      RealD t1=usecond();
@@ -408,6 +643,9 @@ public:
     RealD t2=usecond();
     int32_t batchCount = Amk.size();
 
+    assert(OpA!=GridBLAS_OP_C); // Real case no conjugate
+    assert(OpB!=GridBLAS_OP_C);
+
     int lda = m; // m x k column major
     int ldb = k; // k x n column major
     int ldc = m; // m x b column major
@@ -467,23 +705,80 @@ public:
     assert(err==CUBLAS_STATUS_SUCCESS);
 #endif
 #ifdef GRID_SYCL
-    //MKL’s cblas_<T>gemm_batch & OneAPI
+      int64_t m64=m;
-#warning "oneMKL implementation not built "
+      int64_t n64=n;
+      int64_t k64=k;
+      int64_t lda64=lda;
+      int64_t ldb64=ldb;
+      int64_t ldc64=ldc;
+      int64_t batchCount64=batchCount;
+
+      oneapi::mkl::transpose iOpA;
+      oneapi::mkl::transpose iOpB;
+      
+      if ( OpA == GridBLAS_OP_N ) iOpA = oneapi::mkl::transpose::N;
+      if ( OpA == GridBLAS_OP_T ) iOpA = oneapi::mkl::transpose::T;
+      if ( OpA == GridBLAS_OP_C ) iOpA = oneapi::mkl::transpose::C;
+      if ( OpB == GridBLAS_OP_N ) iOpB = oneapi::mkl::transpose::N;
+      if ( OpB == GridBLAS_OP_T ) iOpB = oneapi::mkl::transpose::T;
+      if ( OpB == GridBLAS_OP_C ) iOpB = oneapi::mkl::transpose::C;
+
+      oneapi::mkl::blas::column_major::gemm_batch(*gridblasHandle,
+						  &iOpA,
+						  &iOpB,
+						  &m64,&n64,&k64,
+						  (float *) &alpha_p[0],
+						  (const float **)&Amk[0], (const int64_t *)&lda64,
+						  (const float **)&Bkn[0], (const int64_t *)&ldb64,
+						  (float *) &beta_p[0],
+						  (float **)&Cmn[0], (const int64_t *)&ldc64,
+						  (int64_t)1,&batchCount64,std::vector<sycl::event>());
+      synchronise();
 #endif
 #if !defined(GRID_SYCL) && !defined(GRID_CUDA) && !defined(GRID_HIP)
-    int sda = lda*k;
+    // Need a default/reference implementation; use Eigen
-    int sdb = ldb*k;
+      if ( (OpA == GridBLAS_OP_N ) && (OpB == GridBLAS_OP_N) ) {
-    int sdc = ldc*n;
+	thread_for (p, batchCount, {
-    // Need a default/reference implementation
+	  Eigen::Map<Eigen::MatrixXf> eAmk(Amk[p],m,k);
-    for (int p = 0; p < batchCount; ++p) {
+	  Eigen::Map<Eigen::MatrixXf> eBkn(Bkn[p],k,n);
-      for (int mm = 0; mm < m; ++mm) {
+	  Eigen::Map<Eigen::MatrixXf> eCmn(Cmn[p],m,n);
-	for (int nn = 0; nn < n; ++nn) {
+	  if (std::abs(beta) != 0.0)
-	  RealD c_mn(0.0);
+	    eCmn = beta * eCmn + alpha * eAmk * eBkn ;
-	  for (int kk = 0; kk < k; ++kk)
+	  else
-	    c_mn += Amk[p][mm + kk*lda ] * Bkn[p][kk + nn*ldb];
+	    eCmn = alpha * eAmk * eBkn ;
-	  Cmn[p][mm + nn*ldc] =  (alpha)*c_mn + (beta)*Cmn[p][mm + nn*ldc ];
+	  });
-	}
+      } else if ( (OpA == GridBLAS_OP_T ) && (OpB == GridBLAS_OP_N) ) {
-      }
+	thread_for (p, batchCount, {
+	  Eigen::Map<Eigen::MatrixXf> eAmk(Amk[p],k,m);
+	  Eigen::Map<Eigen::MatrixXf> eBkn(Bkn[p],k,n);
+	  Eigen::Map<Eigen::MatrixXf> eCmn(Cmn[p],m,n);
+	  if (std::abs(beta) != 0.0)
+	    eCmn = beta * eCmn + alpha * eAmk.transpose() * eBkn ;
+	  else
+	    eCmn = alpha * eAmk.transpose() * eBkn ;
+	  });
+      } else if ( (OpA == GridBLAS_OP_N ) && (OpB == GridBLAS_OP_T) ) {
+	thread_for (p, batchCount, {
+	  Eigen::Map<Eigen::MatrixXf> eAmk(Amk[p],m,k);
+	  Eigen::Map<Eigen::MatrixXf> eBkn(Bkn[p],n,k);
+	  Eigen::Map<Eigen::MatrixXf> eCmn(Cmn[p],m,n);
+	  if (std::abs(beta) != 0.0)
+	    eCmn = beta * eCmn + alpha * eAmk * eBkn.transpose() ;
+	  else
+	    eCmn = alpha * eAmk * eBkn.transpose() ;	  
+	  });
+      } else if ( (OpA == GridBLAS_OP_T ) && (OpB == GridBLAS_OP_T) ) {
+	thread_for (p, batchCount, {
+	  Eigen::Map<Eigen::MatrixXf> eAmk(Amk[p],k,m);
+	  Eigen::Map<Eigen::MatrixXf> eBkn(Bkn[p],n,k);
+	  Eigen::Map<Eigen::MatrixXf> eCmn(Cmn[p],m,n);
+	  if (std::abs(beta) != 0.0)
+	    eCmn = beta * eCmn + alpha * eAmk.transpose() * eBkn.transpose() ;
+	  else
+	    eCmn = alpha * eAmk.transpose() * eBkn.transpose() ;
+	  });
+      } else { 
+	assert(0);
       }
 #endif
      RealD t1=usecond();
@@ -495,7 +790,6 @@ public:
   ///////////////////////////////////////////////////////////////////////////
   // Double precision real GEMM
   ///////////////////////////////////////////////////////////////////////////
-
   void gemmBatched(GridBLASOperation_t OpA,
 		   GridBLASOperation_t OpB,
 		   int m,int n, int k,
@@ -508,6 +802,9 @@ public:
     RealD t2=usecond();
     int32_t batchCount = Amk.size();
 
+    assert(OpA!=GridBLAS_OP_C); // Real case no conjugate
+    assert(OpB!=GridBLAS_OP_C);
+
     int lda = m; // m x k column major
     int ldb = k; // k x n column major
     int ldc = m; // m x b column major
@@ -568,39 +865,80 @@ public:
     assert(err==CUBLAS_STATUS_SUCCESS);
 #endif
 #ifdef GRID_SYCL
-    /*
       int64_t m64=m;
       int64_t n64=n;
       int64_t k64=k;
+      int64_t lda64=lda;
+      int64_t ldb64=ldb;
+      int64_t ldc64=ldc;
       int64_t batchCount64=batchCount;
-      oneapi::mkl::blas::column_major::gemm_batch(*theGridAccelerator,
+
-      onemkl::transpose::N,
+      oneapi::mkl::transpose iOpA;
-      onemkl::transpose::N,
+      oneapi::mkl::transpose iOpB;
+      
+      if ( OpA == GridBLAS_OP_N ) iOpA = oneapi::mkl::transpose::N;
+      if ( OpA == GridBLAS_OP_T ) iOpA = oneapi::mkl::transpose::T;
+      if ( OpA == GridBLAS_OP_C ) iOpA = oneapi::mkl::transpose::C;
+      if ( OpB == GridBLAS_OP_N ) iOpB = oneapi::mkl::transpose::N;
+      if ( OpB == GridBLAS_OP_T ) iOpB = oneapi::mkl::transpose::T;
+      if ( OpB == GridBLAS_OP_C ) iOpB = oneapi::mkl::transpose::C;
+
+      oneapi::mkl::blas::column_major::gemm_batch(*gridblasHandle,
+						  &iOpA,
+						  &iOpB,
 						  &m64,&n64,&k64,
 						  (double *) &alpha_p[0],
-      (double **)&Amk[0], lda,
+						  (const double **)&Amk[0], (const int64_t *)&lda64,
-      (double **)&Bkn[0], ldb,
+						  (const double **)&Bkn[0], (const int64_t *)&ldb64,
 						  (double *) &beta_p[0],
-      (double **)&Cmn[0], ldc,
+						  (double **)&Cmn[0], (const int64_t *)&ldc64,
-      1,&batchCount64);
+						  (int64_t)1,&batchCount64,std::vector<sycl::event>());
-     */
+      synchronise();
-    //MKL’s cblas_<T>gemm_batch & OneAPI
-#warning "oneMKL implementation not built "
 #endif
 #if !defined(GRID_SYCL) && !defined(GRID_CUDA) && !defined(GRID_HIP)
-    int sda = lda*k;
+    // Need a default/reference implementation; use Eigen
-    int sdb = ldb*k;
+      if ( (OpA == GridBLAS_OP_N ) && (OpB == GridBLAS_OP_N) ) {
-    int sdc = ldc*n;
+	thread_for (p, batchCount, {
-    // Need a default/reference implementation
+	  Eigen::Map<Eigen::MatrixXd> eAmk(Amk[p],m,k);
-    for (int p = 0; p < batchCount; ++p) {
+	  Eigen::Map<Eigen::MatrixXd> eBkn(Bkn[p],k,n);
-      for (int mm = 0; mm < m; ++mm) {
+	  Eigen::Map<Eigen::MatrixXd> eCmn(Cmn[p],m,n);
-	for (int nn = 0; nn < n; ++nn) {
+	  if (std::abs(beta) != 0.0)
-	  RealD c_mn(0.0);
+	    eCmn = beta * eCmn + alpha * eAmk * eBkn ;
-	  for (int kk = 0; kk < k; ++kk)
+	  else
-	    c_mn += Amk[p][mm + kk*lda ] * Bkn[p][kk + nn*ldb];
+	    eCmn = alpha * eAmk * eBkn ;
-	  Cmn[p][mm + nn*ldc] =  (alpha)*c_mn + (beta)*Cmn[p][mm + nn*ldc ];
+	  });
-	}
+      } else if ( (OpA == GridBLAS_OP_T ) && (OpB == GridBLAS_OP_N) ) {
-      }
+	thread_for (p, batchCount, {
+	  Eigen::Map<Eigen::MatrixXd> eAmk(Amk[p],k,m);
+	  Eigen::Map<Eigen::MatrixXd> eBkn(Bkn[p],k,n);
+	  Eigen::Map<Eigen::MatrixXd> eCmn(Cmn[p],m,n);
+	  if (std::abs(beta) != 0.0)
+	    eCmn = beta * eCmn + alpha * eAmk.transpose() * eBkn ;
+	  else
+	    eCmn = alpha * eAmk.transpose() * eBkn ;
+	  });
+      } else if ( (OpA == GridBLAS_OP_N ) && (OpB == GridBLAS_OP_T) ) {
+	thread_for (p, batchCount, {
+	  Eigen::Map<Eigen::MatrixXd> eAmk(Amk[p],m,k);
+	  Eigen::Map<Eigen::MatrixXd> eBkn(Bkn[p],n,k);
+	  Eigen::Map<Eigen::MatrixXd> eCmn(Cmn[p],m,n);
+	  if (std::abs(beta) != 0.0)
+	    eCmn = beta * eCmn + alpha * eAmk * eBkn.transpose() ;
+	  else
+	    eCmn = alpha * eAmk * eBkn.transpose() ;
+	  });
+      } else if ( (OpA == GridBLAS_OP_T ) && (OpB == GridBLAS_OP_T) ) {
+	thread_for (p, batchCount, {
+	  Eigen::Map<Eigen::MatrixXd> eAmk(Amk[p],k,m);
+	  Eigen::Map<Eigen::MatrixXd> eBkn(Bkn[p],n,k);
+	  Eigen::Map<Eigen::MatrixXd> eCmn(Cmn[p],m,n);
+	  if (std::abs(beta) != 0.0)
+	    eCmn = beta * eCmn + alpha * eAmk.transpose() * eBkn.transpose() ;
+	  else
+	    eCmn = alpha * eAmk.transpose() * eBkn.transpose() ;
+	  });
+      } else { 
+	assert(0);
       }
 #endif
      RealD t1=usecond();
@@ -608,120 +946,55 @@ public:
      RealD bytes = 1.0*sizeof(RealD)*(m*k+k*n+m*n)*batchCount;
   }
 
-
+  template<class CComplex>
-  
-  ////////////////////////////////////////////////////////////////////////////////////////////////
-  // Strided case used by benchmark, but generally unused in Grid
-  // Keep a code example in double complex, but don't generate the single and real variants for now
-  ////////////////////////////////////////////////////////////////////////////////////////////////
-  
-  void gemmStridedBatched(int m,int n, int k,
-			  ComplexD alpha,
-			  ComplexD* Amk,  // pointer list to matrices
-			  ComplexD* Bkn,
-			  ComplexD beta,
-			  ComplexD* Cmn,
-			  int batchCount)
-  {
-    // Use C-row major storage, so transpose calls
-    int lda = m; // m x k column major
-    int ldb = k; // k x n column major
-    int ldc = m; // m x b column major
-    int sda = m*k;
-    int sdb = k*n;
-    int sdc = m*n;
-    deviceVector<ComplexD> alpha_p(1);
-    deviceVector<ComplexD> beta_p(1);
-    acceleratorCopyToDevice((void *)&alpha,(void *)&alpha_p[0],sizeof(ComplexD));
-    acceleratorCopyToDevice((void *)&beta ,(void *)&beta_p[0],sizeof(ComplexD));
-    //    std::cout << "blasZgemmStridedBatched mnk  "<<m<<","<<n<<","<<k<<" count "<<batchCount<<std::endl;
-    //    std::cout << "blasZgemmStridedBatched ld   "<<lda<<","<<ldb<<","<<ldc<<std::endl;
-    //    std::cout << "blasZgemmStridedBatched sd   "<<sda<<","<<sdb<<","<<sdc<<std::endl;
-#ifdef GRID_HIP
-    auto err = hipblasZgemmStridedBatched(gridblasHandle,
-					  HIPBLAS_OP_N,
-					  HIPBLAS_OP_N,
-					  m,n,k,
-					  (hipblasDoubleComplex *) &alpha_p[0],
-					  (hipblasDoubleComplex *) Amk, lda, sda,
-					  (hipblasDoubleComplex *) Bkn, ldb, sdb,
-					  (hipblasDoubleComplex *) &beta_p[0],
-					  (hipblasDoubleComplex *) Cmn, ldc, sdc,
-					  batchCount);
-    assert(err==HIPBLAS_STATUS_SUCCESS);
-#endif
-#ifdef GRID_CUDA
-    cublasZgemmStridedBatched(gridblasHandle,
-			      CUBLAS_OP_N,
-			      CUBLAS_OP_N,
-			      m,n,k,
-			      (cuDoubleComplex *) &alpha_p[0],
-			      (cuDoubleComplex *) Amk, lda, sda,
-			      (cuDoubleComplex *) Bkn, ldb, sdb,
-			      (cuDoubleComplex *) &beta_p[0],
-			      (cuDoubleComplex *) Cmn, ldc, sdc,
-			      batchCount);
-#endif
-#if defined(GRID_SYCL) || defined(GRID_ONE_MKL)
-    oneapi::mkl::blas::column_major::gemm_batch(*gridblasHandle,
-						oneapi::mkl::transpose::N,
-						oneapi::mkl::transpose::N,
-						m,n,k,
-						alpha,
-						(const ComplexD *)Amk,lda,sda,
-						(const ComplexD *)Bkn,ldb,sdb,
-						beta,
-						(ComplexD *)Cmn,ldc,sdc,
-						batchCount);
-#endif
-#if !defined(GRID_SYCL) && !defined(GRID_CUDA) && !defined(GRID_HIP) && !defined(GRID_ONE_MKL)
-     // Need a default/reference implementation
-     for (int p = 0; p < batchCount; ++p) {
-       for (int mm = 0; mm < m; ++mm) {
-	 for (int nn = 0; nn < n; ++nn) {
-	   ComplexD c_mn(0.0);
-	   for (int kk = 0; kk < k; ++kk)
-	     c_mn += Amk[mm + kk*lda + p*sda] * Bkn[kk + nn*ldb + p*sdb];
-	   Cmn[mm + nn*ldc + p*sdc] =  (alpha)*c_mn + (beta)*Cmn[mm + nn*ldc + p*sdc];
-	 }
-       }
-     }
-#endif
-  }
-
   double benchmark(int M, int N, int K, int BATCH)
   {
     int32_t N_A = M*K*BATCH;
     int32_t N_B = K*N*BATCH;
     int32_t N_C = M*N*BATCH;
-    deviceVector<ComplexD> A(N_A); acceleratorMemSet(&A[0],0,N_A*sizeof(ComplexD));
+    deviceVector<CComplex> A(N_A); acceleratorMemSet(&A[0],0,N_A*sizeof(CComplex));
-    deviceVector<ComplexD> B(N_B); acceleratorMemSet(&B[0],0,N_B*sizeof(ComplexD));
+    deviceVector<CComplex> B(N_B); acceleratorMemSet(&B[0],0,N_B*sizeof(CComplex));
-    deviceVector<ComplexD> C(N_C); acceleratorMemSet(&C[0],0,N_C*sizeof(ComplexD));
+    deviceVector<CComplex> C(N_C); acceleratorMemSet(&C[0],0,N_C*sizeof(CComplex));
-    ComplexD alpha(1.0);
+    CComplex alpha(1.0);
-    ComplexD beta (1.0);
+    CComplex beta (1.0);
     RealD flops = 8.0*M*N*K*BATCH;
-    int ncall=10;
+    int ncall=1000;
+    deviceVector<CComplex *> As(BATCH);
+    deviceVector<CComplex *> Bs(BATCH);
+    deviceVector<CComplex *> Cs(BATCH);
+    for(int b = 0 ; b < BATCH;b++) {
+      CComplex *ptr;
+      ptr = &A[b*M*K];      acceleratorPut(As[b],ptr);
+      ptr = &B[b*K*N];      acceleratorPut(Bs[b],ptr);
+      ptr = &C[b*M*N];      acceleratorPut(Cs[b],ptr);
+    }
+
+    // Warm up call
+    gemmBatched(M,N,K,
+		alpha,
+		As, // m x k 
+		Bs, // k x n
+		beta, 
+		Cs);
+    synchronise();
+
     RealD t0 = usecond();
     for(int i=0;i<ncall;i++){
-      gemmStridedBatched(M,N,K,
+      gemmBatched(M,N,K,
 		  alpha,
-			 &A[0], // m x k 
+		  As, // m x k 
-			 &B[0], // k x n
+		  Bs, // k x n
 		  beta, 
-			 &C[0], // m x n
+		  Cs);
-			 BATCH);
-    }
       synchronise();
+    }
     RealD t1 = usecond();
-    RealD bytes = 1.0*sizeof(ComplexD)*(M*N*2+N*K+M*K)*BATCH;
+    RealD bytes = 1.0*sizeof(CComplex)*(M*N*2+N*K+M*K)*BATCH;
     flops = 8.0*M*N*K*BATCH*ncall;
     flops = flops/(t1-t0)/1.e3;
     return flops; // Returns gigaflops
   }
 
-
-
-
 };
 
 NAMESPACE_END(Grid);

Grid/algorithms/deflation/MultiRHSBlockCGLinalg.h

@@ -0,0 +1,376 @@
+/*************************************************************************************
+
+    Grid physics library, www.github.com/paboyle/Grid 
+
+    Source file: MultiRHSBlockCGLinalg.h
+
+    Copyright (C) 2024
+
+Author: Peter Boyle <pboyle@bnl.gov>
+
+    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 */
+#pragma once
+
+NAMESPACE_BEGIN(Grid);
+
+
+/* Need helper object for BLAS accelerated mrhs blockCG */
+template<class Field>
+class MultiRHSBlockCGLinalg
+{
+public:
+
+  typedef typename Field::scalar_type   scalar;
+  typedef typename Field::scalar_object scalar_object;
+  typedef typename Field::vector_object vector_object;
+
+  deviceVector<scalar> BLAS_X;      // nrhs x vol -- the sources
+  deviceVector<scalar> BLAS_Y;      // nrhs x vol -- the result
+  deviceVector<scalar> BLAS_C;      // nrhs x nrhs -- the coefficients 
+  deviceVector<scalar> BLAS_Cred;   // nrhs x nrhs x oSites -- reduction buffer
+  deviceVector<scalar *> Xdip;
+  deviceVector<scalar *> Ydip;
+  deviceVector<scalar *> Cdip;
+  
+  MultiRHSBlockCGLinalg() {};
+  ~MultiRHSBlockCGLinalg(){ Deallocate(); };
+  
+  void Deallocate(void)
+  {
+    Xdip.resize(0);
+    Ydip.resize(0);
+    Cdip.resize(0);
+    BLAS_Cred.resize(0);
+    BLAS_C.resize(0);
+    BLAS_X.resize(0);
+    BLAS_Y.resize(0);
+  }
+  void MaddMatrix(std::vector<Field> &AP, Eigen::MatrixXcd &m , const std::vector<Field> &X,const std::vector<Field> &Y,RealD scale=1.0)
+  {
+    std::vector<Field> Y_copy(AP.size(),AP[0].Grid());
+    for(int r=0;r<AP.size();r++){
+      Y_copy[r] = Y[r];
+    }
+    MulMatrix(AP,m,X);
+    for(int r=0;r<AP.size();r++){
+      AP[r] = scale*AP[r]+Y_copy[r];
+    }
+  }
+  void MulMatrix(std::vector<Field> &Y, Eigen::MatrixXcd &m , const std::vector<Field> &X)
+  {
+    typedef typename Field::scalar_type scomplex;
+    GridBase *grid;
+    uint64_t vol;
+    uint64_t words;
+
+    int nrhs = Y.size();
+    grid  = X[0].Grid();
+    vol   = grid->lSites();
+    words = sizeof(scalar_object)/sizeof(scalar);
+    int64_t vw = vol * words;
+
+    RealD t0 = usecond();
+    BLAS_X.resize(nrhs * vw); // cost free if size doesn't change
+    BLAS_Y.resize(nrhs * vw); // cost free if size doesn't change
+    BLAS_C.resize(nrhs * nrhs);// cost free if size doesn't change
+    RealD t1 = usecond();
+
+    /////////////////////////////////////////////
+    // Copy in the multi-rhs sources
+    /////////////////////////////////////////////
+    for(int r=0;r<nrhs;r++){
+      int64_t offset = r*vw;
+      autoView(x_v,X[r],AcceleratorRead);
+      acceleratorCopyDeviceToDevice(&x_v[0],&BLAS_X[offset],sizeof(scalar_object)*vol);
+    }
+
+    // Assumes Eigen storage contiguous
+    acceleratorCopyToDevice(&m(0,0),&BLAS_C[0],BLAS_C.size()*sizeof(scalar));
+    
+  /*
+   * in Fortran column major notation (cuBlas order)
+   *
+   * Xxr = [X1(x)][..][Xn(x)]
+   * Yxr = [Y1(x)][..][Ym(x)]
+   * Y = X . C
+   */
+    deviceVector<scalar *> Xd(1);
+    deviceVector<scalar *> Yd(1);
+    deviceVector<scalar *> Cd(1);
+
+    scalar * Xh = & BLAS_X[0];
+    scalar * Yh = & BLAS_Y[0];
+    scalar * Ch = & BLAS_C[0];
+
+    acceleratorPut(Xd[0],Xh);
+    acceleratorPut(Yd[0],Yh);
+    acceleratorPut(Cd[0],Ch);
+
+    RealD t2 = usecond();
+    GridBLAS BLAS;
+    /////////////////////////////////////////
+    // Y = X*C (transpose?)
+    /////////////////////////////////////////
+    BLAS.gemmBatched(GridBLAS_OP_N,GridBLAS_OP_N, 
+    		     vw,nrhs,nrhs,
+		     scalar(1.0),
+		     Xd,
+		     Cd,
+		     scalar(0.0),  // wipe out Y
+		     Yd);
+    BLAS.synchronise();
+    RealD t3 = usecond();
+
+    // Copy back Y = m X 
+    for(int r=0;r<nrhs;r++){
+      int64_t offset = r*vw;
+      autoView(y_v,Y[r],AcceleratorWrite);
+      acceleratorCopyDeviceToDevice(&BLAS_Y[offset],&y_v[0],sizeof(scalar_object)*vol);
+    }    
+    RealD t4 = usecond();
+    std::cout <<GridLogPerformance << "MulMatrix alloc    took "<< t1-t0<<" us"<<std::endl;
+    std::cout <<GridLogPerformance<< "MulMatrix preamble took "<< t2-t1<<" us"<<std::endl;
+    std::cout <<GridLogPerformance<< "MulMatrix blas     took "<< t3-t2<<" us"<<std::endl;
+    std::cout <<GridLogPerformance<< "MulMatrix copy     took "<< t4-t3<<" us"<<std::endl;
+    std::cout <<GridLogPerformance<< "MulMatrix total "<< t4-t0<<" us"<<std::endl;
+  }
+  
+  void InnerProductMatrix(Eigen::MatrixXcd &m , const std::vector<Field> &X, const std::vector<Field> &Y)
+  {
+#if 0    
+    int nrhs;
+    GridBase *grid;
+    uint64_t vol;
+    uint64_t words;
+
+    nrhs = X.size();
+    assert(X.size()==Y.size());
+    conformable(X[0],Y[0]);
+
+    grid  = X[0].Grid();
+    vol   = grid->lSites();
+    words = sizeof(scalar_object)/sizeof(scalar);
+    int64_t vw = vol * words;
+
+    RealD t0 = usecond();
+    BLAS_X.resize(nrhs * vw); // cost free if size doesn't change
+    BLAS_Y.resize(nrhs * vw); // cost free if size doesn't change
+    BLAS_C.resize(nrhs * nrhs);// cost free if size doesn't change
+    RealD t1 = usecond();
+
+    /////////////////////////////////////////////
+    // Copy in the multi-rhs sources
+    /////////////////////////////////////////////
+    for(int r=0;r<nrhs;r++){
+      int64_t offset = r*vw;
+      autoView(x_v,X[r],AcceleratorRead);
+      acceleratorCopyDeviceToDevice(&x_v[0],&BLAS_X[offset],sizeof(scalar_object)*vol);
+      autoView(y_v,Y[r],AcceleratorRead);
+      acceleratorCopyDeviceToDevice(&y_v[0],&BLAS_Y[offset],sizeof(scalar_object)*vol);
+    }
+    RealD t2 = usecond();
+
+  /*
+   * in Fortran column major notation (cuBlas order)
+   *
+   * Xxr = [X1(x)][..][Xn(x)]
+   *
+   * Yxr = [Y1(x)][..][Ym(x)]
+   *
+   * C_rs = X^dag Y
+   */
+    deviceVector<scalar *> Xd(1);
+    deviceVector<scalar *> Yd(1);
+    deviceVector<scalar *> Cd(1);
+
+    scalar * Xh = & BLAS_X[0];
+    scalar * Yh = & BLAS_Y[0];
+    scalar * Ch = & BLAS_C[0];
+
+    acceleratorPut(Xd[0],Xh);
+    acceleratorPut(Yd[0],Yh);
+    acceleratorPut(Cd[0],Ch);
+
+    GridBLAS BLAS;
+
+    RealD t3 = usecond();
+    /////////////////////////////////////////
+    // C_rs = X^dag Y
+    /////////////////////////////////////////
+    BLAS.gemmBatched(GridBLAS_OP_C,GridBLAS_OP_N, 
+    		     nrhs,nrhs,vw,
+		     ComplexD(1.0),
+		     Xd,
+		     Yd,
+		     ComplexD(0.0),  // wipe out C
+		     Cd);
+    BLAS.synchronise();
+    RealD t4 = usecond();
+
+    std::vector<scalar> HOST_C(BLAS_C.size());      // nrhs . nrhs -- the coefficients 
+    acceleratorCopyFromDevice(&BLAS_C[0],&HOST_C[0],BLAS_C.size()*sizeof(scalar));
+    grid->GlobalSumVector(&HOST_C[0],nrhs*nrhs);
+
+    RealD t5 = usecond();
+    for(int rr=0;rr<nrhs;rr++){
+      for(int r=0;r<nrhs;r++){
+	int off = r+nrhs*rr;
+	m(r,rr)=HOST_C[off];
+      }
+    }
+    RealD t6 = usecond();
+    uint64_t M=nrhs;
+    uint64_t N=nrhs;
+    uint64_t K=vw;
+    RealD bytes = 1.0*sizeof(ComplexD)*(M*N*2+N*K+M*K);
+    RealD flops = 8.0*M*N*K;
+    flops = flops/(t4-t3)/1.e3;
+    bytes = bytes/(t4-t3)/1.e3;
+    std::cout <<GridLogPerformance<< "InnerProductMatrix m,n,k "<< M<<","<<N<<","<<K<<std::endl;
+    std::cout <<GridLogPerformance<< "InnerProductMatrix alloc t1 "<< t1-t0<<" us"<<std::endl;
+    std::cout <<GridLogPerformance<< "InnerProductMatrix cp    t2 "<< t2-t1<<" us"<<std::endl;
+    std::cout <<GridLogPerformance<< "InnerProductMatrix setup t3 "<< t3-t2<<" us"<<std::endl;
+    std::cout <<GridLogPerformance<< "InnerProductMatrix blas t4 "<< t4-t3<<" us"<<std::endl;
+    std::cout <<GridLogPerformance<< "InnerProductMatrix blas    "<< flops<<" GF/s"<<std::endl;
+    std::cout <<GridLogPerformance<< "InnerProductMatrix blas    "<< bytes<<" GB/s"<<std::endl;
+    std::cout <<GridLogPerformance<< "InnerProductMatrix gsum t5 "<< t5-t4<<" us"<<std::endl;
+    std::cout <<GridLogPerformance<< "InnerProductMatrix cp   t6 "<< t6-t5<<" us"<<std::endl;
+    std::cout <<GridLogPerformance<< "InnerProductMatrix took "<< t6-t0<<" us"<<std::endl;
+#else
+    int nrhs;
+    GridBase *grid;
+    uint64_t vol;
+    uint64_t words;
+
+    nrhs = X.size();
+    assert(X.size()==Y.size());
+    conformable(X[0],Y[0]);
+
+    grid  = X[0].Grid();
+    int rd0 =  grid->_rdimensions[0] * grid->_rdimensions[1];
+    vol   = grid->oSites()/rd0;
+    words = rd0*sizeof(vector_object)/sizeof(scalar);
+    int64_t vw = vol * words;
+    assert(vw == grid->lSites()*sizeof(scalar_object)/sizeof(scalar));
+
+    RealD t0 = usecond();
+    BLAS_X.resize(nrhs * vw); // cost free if size doesn't change
+    BLAS_Y.resize(nrhs * vw); // cost free if size doesn't change
+    BLAS_Cred.resize(nrhs * nrhs * vol);// cost free if size doesn't change
+    RealD t1 = usecond();
+
+    /////////////////////////////////////////////
+    // Copy in the multi-rhs sources -- layout batched BLAS ready
+    /////////////////////////////////////////////
+    for(int r=0;r<nrhs;r++){
+      autoView(x_v,X[r],AcceleratorRead);
+      autoView(y_v,Y[r],AcceleratorRead);
+      scalar *from_x=(scalar *)&x_v[0];
+      scalar *from_y=(scalar *)&y_v[0];
+      scalar *BX = &BLAS_X[0];
+      scalar *BY = &BLAS_Y[0];
+      accelerator_for(ssw,vw,1,{
+	  uint64_t ss=ssw/words;
+	  uint64_t  w=ssw%words;
+	  uint64_t offset = w+r*words+ss*nrhs*words; // [ss][rhs][words]
+	  BX[offset] = from_x[ssw];
+	  BY[offset] = from_y[ssw];
+	});
+    }
+    RealD t2 = usecond();
+
+  /*
+   * in Fortran column major notation (cuBlas order)
+   *
+   * Xxr = [X1(x)][..][Xn(x)]
+   *
+   * Yxr = [Y1(x)][..][Ym(x)]
+   *
+   * C_rs = X^dag Y
+   */
+    Xdip.resize(vol);
+    Ydip.resize(vol);
+    Cdip.resize(vol);
+    std::vector<scalar *> Xh(vol);
+    std::vector<scalar *> Yh(vol);
+    std::vector<scalar *> Ch(vol);
+    for(uint64_t ss=0;ss<vol;ss++){
+
+      Xh[ss] = & BLAS_X[ss*nrhs*words];
+      Yh[ss] = & BLAS_Y[ss*nrhs*words];
+      Ch[ss] = & BLAS_Cred[ss*nrhs*nrhs];
+
+    }
+    acceleratorCopyToDevice(&Xh[0],&Xdip[0],vol*sizeof(scalar *));
+    acceleratorCopyToDevice(&Yh[0],&Ydip[0],vol*sizeof(scalar *));
+    acceleratorCopyToDevice(&Ch[0],&Cdip[0],vol*sizeof(scalar *));
+    
+    GridBLAS BLAS;
+
+    RealD t3 = usecond();
+    /////////////////////////////////////////
+    // C_rs = X^dag Y
+    /////////////////////////////////////////
+    BLAS.gemmBatched(GridBLAS_OP_C,GridBLAS_OP_N, 
+    		     nrhs,nrhs,words,
+		     ComplexD(1.0),
+		     Xdip,
+		     Ydip,
+		     ComplexD(0.0),  // wipe out C
+		     Cdip);
+    BLAS.synchronise();
+    RealD t4 = usecond();
+
+    std::vector<scalar> HOST_C(BLAS_Cred.size());      // nrhs . nrhs -- the coefficients 
+    acceleratorCopyFromDevice(&BLAS_Cred[0],&HOST_C[0],BLAS_Cred.size()*sizeof(scalar));
+
+    RealD t5 = usecond();
+    m = Eigen::MatrixXcd::Zero(nrhs,nrhs);
+    for(int ss=0;ss<vol;ss++){
+      Eigen::Map<Eigen::MatrixXcd> eC((std::complex<double> *)&HOST_C[ss*nrhs*nrhs],nrhs,nrhs);
+      m = m + eC;
+    }
+    RealD t6l = usecond();
+    grid->GlobalSumVector((scalar *) &m(0,0),nrhs*nrhs);
+    RealD t6 = usecond();
+    uint64_t M=nrhs;
+    uint64_t N=nrhs;
+    uint64_t K=vw;
+    RealD xybytes = grid->lSites()*sizeof(scalar_object);
+    RealD bytes = 1.0*sizeof(ComplexD)*(M*N*2+N*K+M*K);
+    RealD flops = 8.0*M*N*K;
+    flops = flops/(t4-t3)/1.e3;
+    bytes = bytes/(t4-t3)/1.e3;
+    xybytes = 4*xybytes/(t2-t1)/1.e3;
+    std::cout <<GridLogPerformance<< "InnerProductMatrix m,n,k "<< M<<","<<N<<","<<K<<std::endl;
+    std::cout <<GridLogPerformance<< "InnerProductMatrix alloc t1 "<< t1-t0<<" us"<<std::endl;
+    std::cout <<GridLogPerformance<< "InnerProductMatrix cp    t2 "<< t2-t1<<" us "<<xybytes<<" GB/s"<<std::endl;
+    std::cout <<GridLogPerformance<< "InnerProductMatrix setup t3 "<< t3-t2<<" us"<<std::endl;
+    std::cout <<GridLogPerformance<< "InnerProductMatrix blas t4 "<< t4-t3<<" us"<<std::endl;
+    std::cout <<GridLogPerformance<< "InnerProductMatrix blas    "<< flops<<" GF/s"<<std::endl;
+    std::cout <<GridLogPerformance<< "InnerProductMatrix blas    "<< bytes<<" GB/s"<<std::endl;
+    std::cout <<GridLogPerformance<< "InnerProductMatrix cp     t5 "<< t5-t4<<" us"<<std::endl;
+    std::cout <<GridLogPerformance<< "InnerProductMatrix lsum   t6l "<< t6l-t5<<" us"<<std::endl;
+    std::cout <<GridLogPerformance<< "InnerProductMatrix gsum   t6 "<< t6-t6l<<" us"<<std::endl;
+    std::cout <<GridLogPerformance<< "InnerProductMatrix took "<< t6-t0<<" us"<<std::endl;
+#endif
+  }
+};
+
+NAMESPACE_END(Grid);

Grid/algorithms/deflation/MultiRHSBlockProject.h

@@ -447,10 +447,10 @@ public:
     /////////////////////////////////////////
     BLAS.gemmBatched(GridBLAS_OP_C,GridBLAS_OP_N, 
     		     nbasis,nrhs,vw,
-		     ComplexD(1.0),
+		     scalar(1.0),
 		     Vd,
 		     Fd,
-		     ComplexD(0.0),  // wipe out C
+		     scalar(0.0),  // wipe out C
 		     Cd);
     BLAS.synchronise();
     //    std::cout << "BlockProject done"<<std::endl;
@@ -497,10 +497,10 @@ public:
     int64_t vw = block_vol * words;
     BLAS.gemmBatched(GridBLAS_OP_N,GridBLAS_OP_N, 
     		     vw,nrhs,nbasis,
-		     ComplexD(1.0),
+		     scalar(1.0),
 		     Vd,
 		     Cd,
-		     ComplexD(0.0),  // wipe out C
+		     scalar(0.0),  // wipe out C
 		     Fd);
     BLAS.synchronise();
     //    std::cout << " blas call done"<<std::endl;

Grid/algorithms/deflation/MultiRHSDeflation.h

@@ -182,10 +182,10 @@ public:
     /////////////////////////////////////////
     BLAS.gemmBatched(GridBLAS_OP_C,GridBLAS_OP_N, 
     		     nev,nrhs,vw,
-		     ComplexD(1.0),
+		     scalar(1.0),
 		     Ed,
 		     Rd,
-		     ComplexD(0.0),  // wipe out C
+		     scalar(0.0),  // wipe out C
 		     Cd);
     BLAS.synchronise();
 
@@ -210,10 +210,10 @@ public:
     /////////////////////////////////////////
     BLAS.gemmBatched(GridBLAS_OP_N,GridBLAS_OP_N, 
 		     vw,nrhs,nev,
-		     ComplexD(1.0),
+		     scalar(1.0),
 		     Ed, // x . nev
 		     Cd, // nev . nrhs
-		     ComplexD(0.0),
+		     scalar(0.0),
 		     Gd);
     BLAS.synchronise();
 

Grid/algorithms/iterative/AdefMrhs.h

@@ -53,6 +53,7 @@ class TwoLevelCGmrhs
   // Fine operator, Smoother, CoarseSolver
   LinearOperatorBase<Field>   &_FineLinop;
   LinearFunction<Field>   &_Smoother;
+  MultiRHSBlockCGLinalg<Field> _BlockCGLinalg;
 
   GridStopWatch ProjectTimer;
   GridStopWatch PromoteTimer;
@@ -62,7 +63,12 @@ class TwoLevelCGmrhs
   GridStopWatch SmoothTimer;
   GridStopWatch InsertTimer;
 
-  
+  /*
+    Field rrr;
+  Field sss;
+  Field qqq;
+  Field zzz;
+  */  
   // more most opertor functions
   TwoLevelCGmrhs(RealD tol,
 		 Integer maxit,
@@ -73,12 +79,313 @@ class TwoLevelCGmrhs
     MaxIterations(maxit),
     _FineLinop(FineLinop),
     _Smoother(Smoother)
+    /*
+    rrr(fine),
+    sss(fine),
+    qqq(fine),
+    zzz(fine)
+*/
   {
     grid       = fine;
   };
   
   // Vector case
   virtual void operator() (std::vector<Field> &src, std::vector<Field> &x)
+  {
+    //    SolveSingleSystem(src,x);
+    SolvePrecBlockCG(src,x);
+  }
+
+////////////////////////////////////////////////////////////////////////////////////////////////////
+// Thin QR factorisation (google it)
+////////////////////////////////////////////////////////////////////////////////////////////////////
+  ////////////////////////////////////////////////////////////////////////////////////////////////////
+  //Dimensions
+  // R_{ferm x Nblock} =  Q_{ferm x Nblock} x  C_{Nblock x Nblock} -> ferm x Nblock
+  //
+  // Rdag R = m_rr = Herm = L L^dag        <-- Cholesky decomposition (LLT routine in Eigen)
+  //
+  //   Q  C = R => Q = R C^{-1}
+  //
+  // Want  Ident = Q^dag Q = C^{-dag} R^dag R C^{-1} = C^{-dag} L L^dag C^{-1} = 1_{Nblock x Nblock} 
+  //
+  // Set C = L^{dag}, and then Q^dag Q = ident 
+  //
+  // Checks:
+  // Cdag C = Rdag R ; passes.
+  // QdagQ  = 1      ; passes
+  ////////////////////////////////////////////////////////////////////////////////////////////////////
+  void ThinQRfact (Eigen::MatrixXcd &m_zz,
+		   Eigen::MatrixXcd &C,
+		   Eigen::MatrixXcd &Cinv,
+		   std::vector<Field> &  Q,
+		   std::vector<Field> & MQ,
+		   const std::vector<Field> & Z,
+		   const std::vector<Field> & MZ)
+  {
+    RealD t0=usecond();
+    _BlockCGLinalg.InnerProductMatrix(m_zz,MZ,Z);
+    RealD t1=usecond();
+
+    m_zz = 0.5*(m_zz+m_zz.adjoint());
+    
+    Eigen::MatrixXcd L    = m_zz.llt().matrixL(); 
+    
+    C    = L.adjoint();
+    Cinv = C.inverse();
+    
+    RealD t3=usecond();
+    _BlockCGLinalg.MulMatrix( Q,Cinv,Z);
+    _BlockCGLinalg.MulMatrix(MQ,Cinv,MZ);
+    RealD t4=usecond();
+    std::cout << " ThinQRfact IP    :"<< t1-t0<<" us"<<std::endl;
+    std::cout << " ThinQRfact Eigen :"<< t3-t1<<" us"<<std::endl;
+    std::cout << " ThinQRfact MulMat:"<< t4-t3<<" us"<<std::endl;
+  }
+
+  virtual void SolvePrecBlockCG (std::vector<Field> &src, std::vector<Field> &X)
+  {
+    std::cout << GridLogMessage<<"HDCG: mrhs fPrecBlockcg starting"<<std::endl;
+    src[0].Grid()->Barrier();
+    int nrhs = src.size();
+    //    std::vector<RealD> f(nrhs);
+    //    std::vector<RealD> rtzp(nrhs);
+    //    std::vector<RealD> rtz(nrhs);
+    //    std::vector<RealD> a(nrhs);
+    //    std::vector<RealD> d(nrhs);
+    //    std::vector<RealD> b(nrhs);
+    //    std::vector<RealD> rptzp(nrhs);
+
+    ////////////////////////////////////////////
+    //Initial residual computation & set up
+    ////////////////////////////////////////////
+    std::vector<RealD> ssq(nrhs);
+    for(int rhs=0;rhs<nrhs;rhs++){
+      ssq[rhs]=norm2(src[rhs]); assert(ssq[rhs]!=0.0);
+    }      
+
+    ///////////////////////////
+    // Fields -- eliminate duplicates between fPcg and block cg
+    ///////////////////////////
+    std::vector<Field> Mtmp(nrhs,grid);
+    std::vector<Field> tmp(nrhs,grid);
+    std::vector<Field>   Z(nrhs,grid); // Rename Z to R
+    std::vector<Field>  MZ(nrhs,grid); // Rename MZ to Z
+    std::vector<Field>   Q(nrhs,grid); // 
+    std::vector<Field>  MQ(nrhs,grid); // Rename to P
+    std::vector<Field>   D(nrhs,grid);
+    std::vector<Field>  AD(nrhs,grid);
+    
+    /************************************************************************
+     * Preconditioned Block conjugate gradient rQ
+     * Generalise Sebastien Birk Thesis, after Dubrulle 2001.
+     * Introduce preconditioning following Saad Ch9
+     ************************************************************************
+     * Dimensions:
+     *
+     *   X,B etc... ==(Nferm x nrhs)
+     *  Matrix A==(Nferm x Nferm)
+     *  
+     * Nferm = Nspin x Ncolour x Ncomplex x Nlattice_site
+     * QC => Thin QR factorisation (google it)
+     *
+     * R = B-AX
+     * Z = Mi R
+     * QC = Z
+     * D = Q 
+     * for k: 
+     *   R  = AD
+     *   Z  = Mi R
+     *   M  = [D^dag R]^{-1}
+     *   X  = X + D M C
+     *   QS = Q - Z.M
+     *   D  = Q + D S^dag
+     *   C  = S C
+     */
+    Eigen::MatrixXcd m_DZ     = Eigen::MatrixXcd::Identity(nrhs,nrhs);
+    Eigen::MatrixXcd m_M      = Eigen::MatrixXcd::Identity(nrhs,nrhs);
+    Eigen::MatrixXcd m_zz     = Eigen::MatrixXcd::Zero(nrhs,nrhs);
+    Eigen::MatrixXcd m_rr     = Eigen::MatrixXcd::Zero(nrhs,nrhs);
+    
+    Eigen::MatrixXcd m_C      = Eigen::MatrixXcd::Zero(nrhs,nrhs);
+    Eigen::MatrixXcd m_Cinv   = Eigen::MatrixXcd::Zero(nrhs,nrhs);
+    Eigen::MatrixXcd m_S      = Eigen::MatrixXcd::Zero(nrhs,nrhs);
+    Eigen::MatrixXcd m_Sinv   = Eigen::MatrixXcd::Zero(nrhs,nrhs);
+    
+    Eigen::MatrixXcd m_tmp    = Eigen::MatrixXcd::Identity(nrhs,nrhs);
+    Eigen::MatrixXcd m_tmp1   = Eigen::MatrixXcd::Identity(nrhs,nrhs);
+
+    GridStopWatch HDCGTimer;
+
+    //////////////////////////
+    // x0 = Vstart -- possibly modify guess
+    //////////////////////////
+    Vstart(X,src);
+
+    //////////////////////////
+    // R = B-AX
+    //////////////////////////
+    for(int rhs=0;rhs<nrhs;rhs++){
+      // r0 = b -A x0
+      _FineLinop.HermOp(X[rhs],tmp[rhs]);
+      axpy (Z[rhs], -1.0,tmp[rhs], src[rhs]);    // Computes R=Z=src - A X0
+    }
+
+    //////////////////////////////////
+    // Compute MZ = M1 Z = M1 B - M1 A x0
+    //////////////////////////////////
+    PcgM1(Z,MZ);  
+
+    //////////////////////////////////
+    // QC = Z
+    //////////////////////////////////
+    ThinQRfact (m_zz, m_C, m_Cinv, Q, MQ, Z, MZ);
+
+    //////////////////////////////////
+    // D=MQ
+    //////////////////////////////////
+    for(int b=0;b<nrhs;b++) D[b]=MQ[b]; // LLT rotation of the MZ basis of search dirs
+
+    std::cout << GridLogMessage<<"PrecBlockCGrQ vec computed initial residual and QR fact " <<std::endl;
+
+    ProjectTimer.Reset();
+    PromoteTimer.Reset();
+    DeflateTimer.Reset();
+    CoarseTimer.Reset();
+    SmoothTimer.Reset();
+    FineTimer.Reset();
+    InsertTimer.Reset();
+
+    GridStopWatch M1Timer;
+    GridStopWatch M2Timer;
+    GridStopWatch M3Timer;
+    GridStopWatch LinalgTimer;
+    GridStopWatch InnerProdTimer;
+
+    HDCGTimer.Start();
+
+    std::vector<RealD> rn(nrhs);
+    for (int k=0;k<=MaxIterations;k++){
+
+      ////////////////////
+      // Z  = AD
+      ////////////////////
+      M3Timer.Start();
+      for(int b=0;b<nrhs;b++) _FineLinop.HermOp(D[b], Z[b]);      
+      M3Timer.Stop();
+
+      ////////////////////
+      // MZ  = M1 Z <==== the Multigrid preconditioner
+      ////////////////////
+      M1Timer.Start();
+      PcgM1(Z,MZ);
+      M1Timer.Stop();
+
+      FineTimer.Start();
+      ////////////////////
+      // M  = [D^dag Z]^{-1} = (<Ddag MZ>_M)^{-1} inner prod, generalising Saad derivation of Precon CG
+      ////////////////////
+      InnerProdTimer.Start();
+      _BlockCGLinalg.InnerProductMatrix(m_DZ,D,Z);
+      InnerProdTimer.Stop();
+      m_M       = m_DZ.inverse();
+
+      ///////////////////////////
+      // X  = X + D MC
+      ///////////////////////////
+      m_tmp     = m_M * m_C;
+      LinalgTimer.Start();
+      _BlockCGLinalg.MaddMatrix(X,m_tmp, D,X);     // D are the search directions and X takes the updates 
+      LinalgTimer.Stop();
+
+      ///////////////////////////
+      // QS = Q - M Z
+      // (MQ) S = MQ - M (M1Z)
+      ///////////////////////////
+      LinalgTimer.Start();
+      _BlockCGLinalg.MaddMatrix(tmp ,m_M, Z, Q,-1.0);
+      _BlockCGLinalg.MaddMatrix(Mtmp,m_M,MZ,MQ,-1.0);
+      ThinQRfact (m_zz, m_S, m_Sinv, Q, MQ, tmp, Mtmp);
+      LinalgTimer.Stop();
+
+      ////////////////////////////
+      // D  = MQ + D S^dag
+      ////////////////////////////
+      m_tmp = m_S.adjoint();
+      LinalgTimer.Start();
+      _BlockCGLinalg.MaddMatrix(D,m_tmp,D,MQ);
+      LinalgTimer.Stop();
+
+      ////////////////////////////
+      // C  = S C
+      ////////////////////////////
+      m_C = m_S*m_C;
+      
+      ////////////////////////////
+      // convergence monitor
+      ////////////////////////////
+      m_rr = m_C.adjoint() * m_C;
+      
+      FineTimer.Stop();
+
+      RealD max_resid=0;
+      RealD rrsum=0;
+      RealD sssum=0;
+      RealD rr;
+
+      for(int b=0;b<nrhs;b++) {
+	rrsum+=real(m_rr(b,b));
+	sssum+=ssq[b];
+	rr = real(m_rr(b,b))/ssq[b];
+	if ( rr > max_resid ) max_resid = rr;
+      }
+      std::cout << GridLogMessage <<
+	  "\t Prec BlockCGrQ Iteration "<<k<<" ave resid "<< std::sqrt(rrsum/sssum) << " max "<< std::sqrt(max_resid) <<std::endl;
+
+
+      if ( max_resid < Tolerance*Tolerance ) { 
+
+	HDCGTimer.Stop();
+	std::cout<<GridLogMessage<<"HDCG: mrhs PrecBlockCGrQ converged in "<<k<<" iterations and "<<HDCGTimer.Elapsed()<<std::endl;;
+	std::cout<<GridLogMessage<<"HDCG: mrhs PrecBlockCGrQ : Linalg  "<<LinalgTimer.Elapsed()<<std::endl;;
+	std::cout<<GridLogMessage<<"HDCG: mrhs PrecBlockCGrQ : fine H  "<<M3Timer.Elapsed()<<std::endl;;
+	std::cout<<GridLogMessage<<"HDCG: mrhs PrecBlockCGrQ : prec M1 "<<M1Timer.Elapsed()<<std::endl;;
+	std::cout<<GridLogMessage<<"**** M1 breakdown:"<<std::endl;
+	std::cout<<GridLogMessage<<"HDCG: mrhs PrecBlockCGrQ : Project "<<ProjectTimer.Elapsed()<<std::endl;;
+	std::cout<<GridLogMessage<<"HDCG: mrhs PrecBlockCGrQ : Promote "<<PromoteTimer.Elapsed()<<std::endl;;
+	std::cout<<GridLogMessage<<"HDCG: mrhs PrecBlockCGrQ : Deflate "<<DeflateTimer.Elapsed()<<std::endl;;
+	std::cout<<GridLogMessage<<"HDCG: mrhs PrecBlockCGrQ : Coarse  "<<CoarseTimer.Elapsed()<<std::endl;;
+	std::cout<<GridLogMessage<<"HDCG: mrhs PrecBlockCGrQ : Fine    "<<FineTimer.Elapsed()<<std::endl;;
+	std::cout<<GridLogMessage<<"HDCG: mrhs PrecBlockCGrQ : Smooth  "<<SmoothTimer.Elapsed()<<std::endl;;
+	std::cout<<GridLogMessage<<"HDCG: mrhs PrecBlockCGrQ : Insert  "<<InsertTimer.Elapsed()<<std::endl;;
+
+	for(int rhs=0;rhs<nrhs;rhs++){
+
+	  _FineLinop.HermOp(X[rhs],tmp[rhs]);			  
+
+	  Field mytmp(grid);
+	  axpy(mytmp,-1.0,src[rhs],tmp[rhs]);
+      
+	  RealD  xnorm   = sqrt(norm2(X[rhs]));
+	  RealD  srcnorm = sqrt(norm2(src[rhs]));
+	  RealD  tmpnorm = sqrt(norm2(mytmp));
+	  RealD  true_residual = tmpnorm/srcnorm;
+	  std::cout<<GridLogMessage
+		   <<"HDCG: true residual ["<<rhs<<"] is "<<true_residual
+		   <<" solution "<<xnorm
+		   <<" source "<<srcnorm
+		   <<std::endl;
+	}
+	return;
+      }
+      
+    }
+    HDCGTimer.Stop();
+    std::cout<<GridLogMessage<<"HDCG: PrecBlockCGrQ not converged "<<HDCGTimer.Elapsed()<<std::endl;
+    assert(0);
+  }
+
+  virtual void SolveSingleSystem (std::vector<Field> &src, std::vector<Field> &x)
   {
     std::cout << GridLogMessage<<"HDCG: mrhs fPcg starting"<<std::endl;
     src[0].Grid()->Barrier();
@@ -361,15 +668,26 @@ public:
     CoarseField PleftProjMrhs(this->coarsegridmrhs);
     CoarseField PleftMss_projMrhs(this->coarsegridmrhs);
 
-    for(int rhs=0;rhs<nrhs;rhs++) {
+    //    this->rrr=in[0];
 
+#undef SMOOTHER_BLOCK_SOLVE
+#if SMOOTHER_BLOCK_SOLVE
+    this->SmoothTimer.Start();
+    this->_Smoother(in,Min);
+    this->SmoothTimer.Stop();
+#else
+    for(int rhs=0;rhs<nrhs;rhs++) {
       this->SmoothTimer.Start();
       this->_Smoother(in[rhs],Min[rhs]);
       this->SmoothTimer.Stop();
+    }
+#endif
+    //    this->sss=Min[0];
+    
+    for(int rhs=0;rhs<nrhs;rhs++) {
       
       this->FineTimer.Start();
       this->_FineLinop.HermOp(Min[rhs],out[rhs]);
-
       axpy(tmp[rhs],-1.0,out[rhs],in[rhs]);          // resid  = in - A Min
       this->FineTimer.Stop();
 
@@ -401,9 +719,11 @@ public:
     this->_Projector.blockPromote(tmp,PleftMss_proj);// tmp= Q[in - A Min]  
     this->PromoteTimer.Stop();
     this->FineTimer.Start();
+    //    this->qqq=tmp[0];
     for(int rhs=0;rhs<nrhs;rhs++) {
       axpy(out[rhs],1.0,Min[rhs],tmp[rhs]); // Min+tmp
     }
+    //    this->zzz=out[0];
     this->FineTimer.Stop();
   }
 };

Grid/algorithms/iterative/BlockConjugateGradient.h

@@ -31,6 +31,58 @@ directory
 
 NAMESPACE_BEGIN(Grid);
 
+template<class Field>
+void InnerProductMatrix(Eigen::MatrixXcd &m , const std::vector<Field> &X, const std::vector<Field> &Y){
+  typedef typename Field::scalar_type scomplex;
+  int Nblock = X.size();
+  for(int b=0;b<Nblock;b++){
+  for(int bp=0;bp<Nblock;bp++) {
+    m(b,bp) = innerProduct(X[b],Y[bp]);  
+  }}
+}
+template<class Field>
+void MaddMatrix(std::vector<Field> &AP, Eigen::MatrixXcd &m , const std::vector<Field> &X,const std::vector<Field> &Y,RealD scale=1.0){
+  // Should make this cache friendly with site outermost, parallel_for
+  // Deal with case AP aliases with either Y or X
+  //
+  //Could pack "X" and "AP" into a Nblock x Volume dense array.
+  // AP(Nrhs x vol) = Y(Nrhs x vol) + scale * m(nrhs x nrhs) * X(nrhs*vol)
+  typedef typename Field::scalar_type scomplex;
+  int Nblock = AP.size();
+  std::vector<Field> tmp(Nblock,X[0]);
+  for(int b=0;b<Nblock;b++){
+    tmp[b]   = Y[b];
+    for(int bp=0;bp<Nblock;bp++) {
+      tmp[b] = tmp[b] +scomplex(scale*m(bp,b))*X[bp]; 
+    }
+  }
+  for(int b=0;b<Nblock;b++){
+    AP[b] = tmp[b];
+  }
+}
+template<class Field>
+void MulMatrix(std::vector<Field> &AP, Eigen::MatrixXcd &m , const std::vector<Field> &X){
+  // Should make this cache friendly with site outermost, parallel_for
+  typedef typename Field::scalar_type scomplex;
+  int Nblock = AP.size();
+  for(int b=0;b<Nblock;b++){
+    AP[b] = Zero();
+    for(int bp=0;bp<Nblock;bp++) {
+      AP[b] += scomplex(m(bp,b))*X[bp]; 
+    }
+  }
+}
+template<class Field>
+double normv(const std::vector<Field> &P){
+  int Nblock = P.size();
+  double nn = 0.0;
+  for(int b=0;b<Nblock;b++) {
+    nn+=norm2(P[b]);
+  }
+  return nn;
+}
+
+
 enum BlockCGtype { BlockCG, BlockCGrQ, CGmultiRHS, BlockCGVec, BlockCGrQVec };
 
 //////////////////////////////////////////////////////////////////////////
@@ -87,10 +139,19 @@ void ThinQRfact (Eigen::MatrixXcd &m_rr,
   sliceInnerProductMatrix(m_rr,R,R,Orthog);
 
   // Force manifest hermitian to avoid rounding related
+  /*
+  int rank=m_rr.rows();
+  for(int r=0;r<rank;r++){
+  for(int s=0;s<rank;s++){
+    std::cout << "QR m_rr["<<r<<","<<s<<"] "<<m_rr(r,s)<<std::endl;
+  }}
+  */
   m_rr = 0.5*(m_rr+m_rr.adjoint());
 
   Eigen::MatrixXcd L    = m_rr.llt().matrixL(); 
 
+//  ComplexD det = L.determinant();
+//  std::cout << " Det m_rr "<<det<<std::endl;
   C    = L.adjoint();
   Cinv = C.inverse();
   ////////////////////////////////////////////////////////////////////////////////////////////////////
@@ -110,11 +171,20 @@ void ThinQRfact (Eigen::MatrixXcd &m_rr,
 		 const std::vector<Field> & R)
 {
   InnerProductMatrix(m_rr,R,R);
-
+  /*
+  int rank=m_rr.rows();
+  for(int r=0;r<rank;r++){
+  for(int s=0;s<rank;s++){
+    std::cout << "QRvec m_rr["<<r<<","<<s<<"] "<<m_rr(r,s)<<std::endl;
+  }}
+  */
   m_rr = 0.5*(m_rr+m_rr.adjoint());
 
   Eigen::MatrixXcd L    = m_rr.llt().matrixL(); 
 
+  //  ComplexD det = L.determinant();
+  //  std::cout << " Det m_rr "<<det<<std::endl;
+
   C    = L.adjoint();
   Cinv = C.inverse();
 
@@ -186,6 +256,7 @@ void BlockCGrQsolve(LinearOperatorBase<Field> &Linop, const Field &B, Field &X)
   sliceNorm(ssq,B,Orthog);
   RealD sssum=0;
   for(int b=0;b<Nblock;b++) sssum+=ssq[b];
+  for(int b=0;b<Nblock;b++) std::cout << "src["<<b<<"]" << ssq[b] <<std::endl;
 
   sliceNorm(residuals,B,Orthog);
   for(int b=0;b<Nblock;b++){ assert(std::isnan(residuals[b])==0); }
@@ -221,6 +292,9 @@ void BlockCGrQsolve(LinearOperatorBase<Field> &Linop, const Field &B, Field &X)
   Linop.HermOp(X, AD);
   tmp = B - AD;  
 
+  sliceNorm(residuals,tmp,Orthog);
+  for(int b=0;b<Nblock;b++) std::cout << "res["<<b<<"]" << residuals[b] <<std::endl;
+  
   ThinQRfact (m_rr, m_C, m_Cinv, Q, tmp);
   D=Q;
 
@@ -236,6 +310,8 @@ void BlockCGrQsolve(LinearOperatorBase<Field> &Linop, const Field &B, Field &X)
   GridStopWatch SolverTimer;
   SolverTimer.Start();
 
+  RealD max_resid=0;
+
   int k;
   for (k = 1; k <= MaxIterations; k++) {
 
@@ -280,7 +356,7 @@ void BlockCGrQsolve(LinearOperatorBase<Field> &Linop, const Field &B, Field &X)
      */
     m_rr = m_C.adjoint() * m_C;
 
-    RealD max_resid=0;
+    max_resid=0;
     RealD rrsum=0;
     RealD rr;
 
@@ -322,7 +398,9 @@ void BlockCGrQsolve(LinearOperatorBase<Field> &Linop, const Field &B, Field &X)
     }
 
   }
-  std::cout << GridLogMessage << "BlockConjugateGradient(rQ) did NOT converge" << std::endl;
+
+  std::cout << GridLogMessage << "BlockConjugateGradient(rQ) did NOT converge "<<k<<" / "<<MaxIterations
+	    <<" residual "<< std::sqrt(max_resid)<< std::endl;
 
   if (ErrorOnNoConverge) assert(0);
   IterationsToComplete = k;
@@ -466,43 +544,6 @@ void CGmultiRHSsolve(LinearOperatorBase<Field> &Linop, const Field &Src, Field &
   IterationsToComplete = k;
 }
 
-void InnerProductMatrix(Eigen::MatrixXcd &m , const std::vector<Field> &X, const std::vector<Field> &Y){
-  for(int b=0;b<Nblock;b++){
-  for(int bp=0;bp<Nblock;bp++) {
-    m(b,bp) = innerProduct(X[b],Y[bp]);  
-  }}
-}
-void MaddMatrix(std::vector<Field> &AP, Eigen::MatrixXcd &m , const std::vector<Field> &X,const std::vector<Field> &Y,RealD scale=1.0){
-  // Should make this cache friendly with site outermost, parallel_for
-  // Deal with case AP aliases with either Y or X
-  std::vector<Field> tmp(Nblock,X[0]);
-  for(int b=0;b<Nblock;b++){
-    tmp[b]   = Y[b];
-    for(int bp=0;bp<Nblock;bp++) {
-      tmp[b] = tmp[b] + scomplex(scale*m(bp,b))*X[bp]; 
-    }
-  }
-  for(int b=0;b<Nblock;b++){
-    AP[b] = tmp[b];
-  }
-}
-void MulMatrix(std::vector<Field> &AP, Eigen::MatrixXcd &m , const std::vector<Field> &X){
-  // Should make this cache friendly with site outermost, parallel_for
-  for(int b=0;b<Nblock;b++){
-    AP[b] = Zero();
-    for(int bp=0;bp<Nblock;bp++) {
-      AP[b] += scomplex(m(bp,b))*X[bp]; 
-    }
-  }
-}
-double normv(const std::vector<Field> &P){
-  double nn = 0.0;
-  for(int b=0;b<Nblock;b++) {
-    nn+=norm2(P[b]);
-  }
-  return nn;
-}
-
 ////////////////////////////////////////////////////////////////////////////
 // BlockCGrQvec implementation:
 //--------------------------
@@ -549,6 +590,7 @@ void BlockCGrQsolveVec(LinearOperatorBase<Field> &Linop, const std::vector<Field
 
   RealD sssum=0;
   for(int b=0;b<Nblock;b++){ ssq[b] = norm2(B[b]);}
+  for(int b=0;b<Nblock;b++){ std::cout << "ssq["<<b<<"] "<<ssq[b]<<std::endl;}
   for(int b=0;b<Nblock;b++) sssum+=ssq[b];
 
   for(int b=0;b<Nblock;b++){ residuals[b] = norm2(B[b]);}
@@ -585,6 +627,7 @@ void BlockCGrQsolveVec(LinearOperatorBase<Field> &Linop, const std::vector<Field
   for(int b=0;b<Nblock;b++) {
     Linop.HermOp(X[b], AD[b]);
     tmp[b] = B[b] - AD[b];  
+    std::cout << "r0["<<b<<"] "<<norm2(tmp[b])<<std::endl;
   }
 
   ThinQRfact (m_rr, m_C, m_Cinv, Q, tmp);

Grid/algorithms/iterative/ConjugateGradient.h

@@ -38,6 +38,7 @@ NAMESPACE_BEGIN(Grid);
 // single input vec, single output vec.
 /////////////////////////////////////////////////////////////
 
+
 template <class Field>
 class ConjugateGradient : public OperatorFunction<Field> {
 public:
@@ -57,10 +58,22 @@ public:
       ErrorOnNoConverge(err_on_no_conv)
   {};
 
+  virtual void LogIteration(int k,RealD a,RealD b){
+    //    std::cout << "ConjugageGradient::LogIteration() "<<std::endl;
+  };
+  virtual void LogBegin(void){
+    std::cout << "ConjugageGradient::LogBegin() "<<std::endl;
+  };
+
     void operator()(LinearOperatorBase<Field> &Linop, const Field &src, Field &psi) {
 
+      this->LogBegin();
+
       GRID_TRACE("ConjugateGradient");
     GridStopWatch PreambleTimer;
+    GridStopWatch ConstructTimer;
+    GridStopWatch NormTimer;
+    GridStopWatch AssignTimer;
     PreambleTimer.Start();
     psi.Checkerboard() = src.Checkerboard();
 
@@ -70,14 +83,19 @@ public:
     //RealD b_pred;
 
     // Was doing copies
+    ConstructTimer.Start();
     Field p  (src.Grid());
     Field mmp(src.Grid());
     Field r  (src.Grid());
+    ConstructTimer.Stop();
 
     // Initial residual computation & set up
+    NormTimer.Start();
     ssq = norm2(src);
     RealD guess = norm2(psi);
+    NormTimer.Stop();
     assert(std::isnan(guess) == 0);
+    AssignTimer.Start();
     if ( guess == 0.0 ) {
       r = src;
       p = r;
@@ -89,6 +107,7 @@ public:
       a = norm2(p);
     }
     cp = a;
+    AssignTimer.Stop();
 
     // Handle trivial case of zero src
     if (ssq == 0.){
@@ -164,6 +183,7 @@ public:
       }
       LinearCombTimer.Stop();
       LinalgTimer.Stop();
+      LogIteration(k,a,b);
 
       IterationTimer.Stop();
       if ( (k % 500) == 0 ) {
@@ -220,6 +240,9 @@ public:
     	      <<" residual "<< std::sqrt(cp / ssq)<< std::endl;
     SolverTimer.Stop();
     std::cout << GridLogMessage << "\tPreamble   " << PreambleTimer.Elapsed() <<std::endl;
+    std::cout << GridLogMessage << "\tConstruct  " << ConstructTimer.Elapsed() <<std::endl;
+    std::cout << GridLogMessage << "\tNorm       " << NormTimer.Elapsed() <<std::endl;
+    std::cout << GridLogMessage << "\tAssign     " << AssignTimer.Elapsed() <<std::endl;
     std::cout << GridLogMessage << "\tSolver     " << SolverTimer.Elapsed() <<std::endl;
     std::cout << GridLogMessage << "Solver breakdown "<<std::endl;
     std::cout << GridLogMessage << "\tMatrix     " << MatrixTimer.Elapsed() <<std::endl;
@@ -233,5 +256,118 @@ public:
 
   }
 };
+
+
+template <class Field>
+class ConjugateGradientPolynomial : public ConjugateGradient<Field> {
+public:
+  // Optionally record the CG polynomial
+  std::vector<double> ak;
+  std::vector<double> bk;
+  std::vector<double> poly_p;
+  std::vector<double> poly_r;
+  std::vector<double> poly_Ap;
+  std::vector<double> polynomial;
+
+public:
+  ConjugateGradientPolynomial(RealD tol, Integer maxit, bool err_on_no_conv = true)
+    : ConjugateGradient<Field>(tol,maxit,err_on_no_conv)
+  { };
+  void PolyHermOp(LinearOperatorBase<Field> &Linop, const Field &src, Field &psi)
+  {
+    Field tmp(src.Grid());
+    Field AtoN(src.Grid());
+    AtoN = src;
+    psi=AtoN*polynomial[0];
+    for(int n=1;n<polynomial.size();n++){
+      tmp = AtoN;
+      Linop.HermOp(tmp,AtoN);
+      psi = psi + polynomial[n]*AtoN;
+    }
+  }
+  void CGsequenceHermOp(LinearOperatorBase<Field> &Linop, const Field &src, Field &x)
+  {
+    Field Ap(src.Grid());
+    Field r(src.Grid());
+    Field p(src.Grid());
+    p=src;
+    r=src;
+    x=Zero();
+    x.Checkerboard()=src.Checkerboard();
+    for(int k=0;k<ak.size();k++){
+      x = x + ak[k]*p;
+      Linop.HermOp(p,Ap);
+      r = r - ak[k] * Ap;
+      p = r + bk[k] * p;
+    }
+  }
+  void Solve(LinearOperatorBase<Field> &Linop, const Field &src, Field &psi)
+  {
+    psi=Zero();
+    this->operator ()(Linop,src,psi);
+  }
+  virtual void LogBegin(void)
+  {
+    std::cout << "ConjugageGradientPolynomial::LogBegin() "<<std::endl;
+    ak.resize(0);
+    bk.resize(0);
+    polynomial.resize(0);
+    poly_Ap.resize(0);
+    poly_Ap.resize(0);
+    poly_p.resize(1);
+    poly_r.resize(1);
+    poly_p[0]=1.0;
+    poly_r[0]=1.0;
+  };
+  virtual void LogIteration(int k,RealD a,RealD b)
+  {
+    // With zero guess,
+    // p = r = src
+    //
+    // iterate:
+    //   x =  x + a p
+    //   r =  r - a A p
+    //   p =  r + b p
+    //
+    // [0]
+    // r = x
+    // p = x
+    // Ap=0
+    //
+    // [1]
+    // Ap = A x + 0  ==> shift poly P right by 1 and add 0.
+    // x  = x + a p  ==> add polynomials term by term 
+    // r  = r - a A p  ==> add polynomials term by term
+    // p  = r + b p  ==> add polynomials term by term
+    //
+    std::cout << "ConjugageGradientPolynomial::LogIteration() "<<k<<std::endl;
+    ak.push_back(a);
+    bk.push_back(b);
+    //  Ap= right_shift(p)
+    poly_Ap.resize(k+1);
+    poly_Ap[0]=0.0;
+    for(int i=0;i<k;i++){
+      poly_Ap[i+1]=poly_p[i];
+    }
+
+    //  x = x + a p
+    polynomial.resize(k);
+    polynomial[k-1]=0.0;
+    for(int i=0;i<k;i++){
+      polynomial[i] = polynomial[i] + a * poly_p[i];
+    }
+    
+    //  r = r - a Ap
+    //  p = r + b p
+    poly_r.resize(k+1);
+    poly_p.resize(k+1);
+    poly_r[k] = poly_p[k] = 0.0;
+    for(int i=0;i<k+1;i++){
+      poly_r[i] = poly_r[i] - a * poly_Ap[i];
+      poly_p[i] = poly_r[i] + b * poly_p[i];
+    }
+  }
+};
+
 NAMESPACE_END(Grid);
 #endif

Grid/algorithms/iterative/ConjugateGradientMixedPrec.h

@@ -116,14 +116,14 @@ NAMESPACE_BEGIN(Grid);
       //Compute double precision rsd and also new RHS vector.
       Linop_d.HermOp(sol_d, tmp_d);
       RealD norm = axpy_norm(src_d, -1., tmp_d, src_d_in); //src_d is residual vector
-      
+      std::cout<<GridLogMessage<<" rsd norm "<<norm<<std::endl;
       std::cout<<GridLogMessage<<"MixedPrecisionConjugateGradient: Outer iteration " <<outer_iter<<" residual "<< norm<< " target "<< stop<<std::endl;
 
       if(norm < OuterLoopNormMult * stop){
 	std::cout<<GridLogMessage<<"MixedPrecisionConjugateGradient: Outer iteration converged on iteration " <<outer_iter <<std::endl;
 	break;
       }
-      while(norm * inner_tol * inner_tol < stop) inner_tol *= 2;  // inner_tol = sqrt(stop/norm) ??
+      while(norm * inner_tol * inner_tol < stop*1.01) inner_tol *= 2;  // inner_tol = sqrt(stop/norm) ??
 
       PrecChangeTimer.Start();
       precisionChange(src_f, src_d, pc_wk_dp_to_sp);

Grid/algorithms/iterative/ConjugateGradientMultiShift.h

@@ -102,11 +102,11 @@ public:
     assert(mass.size()==nshift);
     assert(mresidual.size()==nshift);
   
-    // dynamic sized arrays on stack; 2d is a pain with vector
+    // remove dynamic sized arrays on stack; 2d is a pain with vector
-    RealD  bs[nshift];
+    std::vector<RealD>  bs(nshift);
-    RealD  rsq[nshift];
+    std::vector<RealD>  rsq(nshift);
-    RealD  z[nshift][2];
+    std::vector<std::array<RealD,2> >  z(nshift);
-    int     converged[nshift];
+    std::vector<int>     converged(nshift);
   
     const int       primary =0;
   

Grid/algorithms/iterative/ConjugateGradientMultiShiftCleanup.h

@@ -123,11 +123,11 @@ public:
     assert(mresidual.size()==nshift);
   
     // dynamic sized arrays on stack; 2d is a pain with vector
-    RealD  bs[nshift];
+    std::vector<RealD>  bs(nshift);
-    RealD  rsq[nshift];
+    std::vector<RealD>  rsq(nshift);
-    RealD  rsqf[nshift];
+    std::vector<RealD>  rsqf(nshift);
-    RealD  z[nshift][2];
+    std::vector<std::array<RealD,2> >  z(nshift);
-    int     converged[nshift];
+    std::vector<int>     converged(nshift);
   
     const int       primary =0;
   

Grid/algorithms/iterative/ConjugateGradientMultiShiftMixedPrec.h

@@ -156,11 +156,11 @@ public:
     assert(mresidual.size()==nshift);
   
     // dynamic sized arrays on stack; 2d is a pain with vector
-    RealD  bs[nshift];
+    std::vector<RealD>  bs(nshift);
-    RealD  rsq[nshift];
+    std::vector<RealD>  rsq(nshift);
-    RealD  rsqf[nshift];
+    std::vector<RealD>  rsqf(nshift);
-    RealD  z[nshift][2];
+    std::vector<std::array<RealD,2> >  z(nshift);
-    int     converged[nshift];
+    std::vector<int>     converged(nshift);
   
     const int       primary =0;
   

Grid/algorithms/iterative/ImplicitlyRestartedBlockLanczosCoarse.h

@@ -288,7 +288,7 @@ public:
       
       //----------------------------------------------------------------------
       if ( Nm>Nk ) {
-        Glog <<" #Apply shifted QR transformations "<<std::endl;
+	//        Glog <<" #Apply shifted QR transformations "<<std::endl;
         //int k2 = Nk+Nu;
         int k2 = Nk;
       
@@ -298,6 +298,7 @@ public:
         unpackHermitBlockTriDiagMatToEigen(lmd,lme,Nu,Nblock_m,Nm,Nm,BTDM);
 
         for(int ip=Nk; ip<Nm; ++ip){
+	  Glog << " ip "<<ip<<" / "<<Nm<<std::endl;
           shiftedQRDecompEigen(BTDM,Nu,Nm,eval2[ip],Q);
         }
         
@@ -467,10 +468,10 @@ public:
   
     // set initial vector
     for (int i=0; i<Nu; ++i) {
-      //      Glog << "norm2(src[" << i << "])= "<< norm2(src[i]) << std::endl;
+      Glog << "norm2(src[" << i << "])= "<< norm2(src[i]) << std::endl;
       evec[i] = src[i];
       orthogonalize(evec[i],evec,i);
-      //      Glog << "norm2(evec[" << i << "])= "<< norm2(evec[i]) << std::endl;
+      Glog << "norm2(evec[" << i << "])= "<< norm2(evec[i]) << std::endl;
     }
 //    exit(-43);
     
@@ -506,11 +507,11 @@ public:
       Qt = Eigen::MatrixXcd::Identity(Nr,Nr);
       diagonalize(eval2,lmd2,lme2,Nu,Nr,Nr,Qt,grid);
       _sort.push(eval2,Nr);
-      //      Glog << "#Ritz value: "<< std::endl;
+      Glog << "#Ritz value: "<< std::endl;
       for(int i=0; i<Nr; ++i){
-	//        std::cout.precision(13);
+	std::cout.precision(13);
-	//        std::cout << "[" << std::setw(4)<< std::setiosflags(std::ios_base::right) <<i<<"] ";
+	std::cout << "[" << std::setw(4)<< std::setiosflags(std::ios_base::right) <<i<<"] ";
-	//        std::cout << "Rval = "<<std::setw(20)<< std::setiosflags(std::ios_base::left)<< eval2[i] << std::endl;
+	std::cout << "Rval = "<<std::setw(20)<< std::setiosflags(std::ios_base::left)<< eval2[i] << std::endl;
       }
       
       // Convergence test
@@ -570,6 +571,7 @@ public:
       Glog << fname + " NOT converged ; Summary :\n";
     } else {
       Glog << fname + " CONVERGED ; Summary :\n";
+      Nstop = Nconv_guess; // Just take them all
       // Sort convered eigenpairs.
       std::vector<Field>  Btmp(Nstop,grid); // waste of space replicating
 
@@ -951,7 +953,7 @@ if (1){
         M(u+(k/Nu)*Nu,k-Nu) = lme[u][k-Nu];
       }
     }
-    //Glog << "unpackHermitBlockTriDiagMatToEigen() end" << endl; 
+    //    Glog << "unpackHermitBlockTriDiagMatToEigen() end" << std::endl; 
   }
  
 
@@ -977,7 +979,7 @@ if (1){
         lme[u][k-Nu] = M(u+(k/Nu)*Nu,k-Nu);
       }
     }
-    //Glog << "packHermitBlockTriDiagMatfromEigen() end" << endl; 
+    //    Glog << "packHermitBlockTriDiagMatfromEigen() end" <<std::endl; 
   }
 
 
@@ -1002,6 +1004,7 @@ if (1){
                         // lower triangular part used to represent series
                         // of Q sequence.
 
+    //    Glog << "shiftedQRDecompEigen() Housholder & QR" << '\n'; 
     // equivalent operation of Qprod *= Q
     //M = Eigen::MatrixXcd::Zero(Nm,Nm);
     
@@ -1022,6 +1025,7 @@ if (1){
     
     Mtmp = Eigen::MatrixXcd::Zero(Nm,Nm);
 
+    //    Glog << "shiftedQRDecompEigen() Mtmp create" << '\n'; 
     for (int i=0; i<Nm; ++i) {
       for (int j=0; j<Nm-(Nu+1); ++j) {
         for (int k=0; k<Nu+1+j; ++k) {
@@ -1029,6 +1033,7 @@ if (1){
         }
       }
     }
+    //    Glog << "shiftedQRDecompEigen() Mtmp loop1" << '\n'; 
     for (int i=0; i<Nm; ++i) {
       for (int j=Nm-(Nu+1); j<Nm; ++j) {
         for (int k=0; k<Nm; ++k) {
@@ -1036,6 +1041,7 @@ if (1){
         }
       }
     }
+    //    Glog << "shiftedQRDecompEigen() Mtmp loop2" << '\n'; 
     
     //static int ntimes = 2;
     //for (int j=0; j<Nm-(ntimes*Nu); ++j) {
@@ -1061,11 +1067,13 @@ if (1){
         Mtmp(j,i) = conj(Mtmp(i,j));
       }
     }
+    //    Glog << "shiftedQRDecompEigen() Mtmp loop3" << '\n'; 
 
     for (int i=0; i<Nm; ++i) {
       Mtmp(i,i) = real(Mtmp(i,i)) + Dsh;
     }
     
+    //    Glog << "shiftedQRDecompEigen() Mtmp loop4" << '\n'; 
     M = Mtmp;
 
     //M = Q.adjoint()*(M*Q);
@@ -1077,7 +1085,7 @@ if (1){
     //  }
     //}
     
-    //Glog << "shiftedQRDecompEigen() end" << endl; 
+    //    Glog << "shiftedQRDecompEigen() end" <<std::endl; 
   }
 
   void exampleQRDecompEigen(void)

Grid/algorithms/iterative/ImplicitlyRestartedLanczos.h

@@ -245,9 +245,10 @@ until convergence
 	_HermOp(src_n,tmp);
 	//	std::cout << GridLogMessage<< tmp<<std::endl; exit(0);
 	//	std::cout << GridLogIRL << " _HermOp " << norm2(tmp) << std::endl;
-	RealD vnum = real(innerProduct(src_n,tmp)); // HermOp.
+//	RealD vnum = real(innerProduct(src_n,tmp)); // HermOp.
+	RealD vnum = real(innerProduct(tmp,tmp)); // HermOp^2.
 	RealD vden = norm2(src_n);
-	RealD na = vnum/vden;
+	RealD na = std::sqrt(vnum/vden);
 	if (fabs(evalMaxApprox/na - 1.0) < 0.0001)
 	  i=_MAX_ITER_IRL_MEVAPP_;
 	evalMaxApprox = na;
@@ -255,6 +256,7 @@ until convergence
 	src_n = tmp;
       }
     }
+    std::cout << GridLogIRL << " Final evalMaxApprox  " << evalMaxApprox << std::endl;
 	
     std::vector<RealD> lme(Nm);  
     std::vector<RealD> lme2(Nm);

Grid/algorithms/iterative/NormalEquations.h

@@ -60,6 +60,32 @@ public:
   }     
 };
 
+template<class Field> class NormalResidual : public LinearFunction<Field>{
+private:
+  SparseMatrixBase<Field> & _Matrix;
+  OperatorFunction<Field> & _HermitianSolver;
+  LinearFunction<Field>   & _Guess;
+public:
+
+  /////////////////////////////////////////////////////
+  // Wrap the usual normal equations trick
+  /////////////////////////////////////////////////////
+ NormalResidual(SparseMatrixBase<Field> &Matrix, OperatorFunction<Field> &HermitianSolver,
+		 LinearFunction<Field> &Guess) 
+   :  _Matrix(Matrix), _HermitianSolver(HermitianSolver), _Guess(Guess) {}; 
+
+  void operator() (const Field &in, Field &out){
+ 
+    Field res(in.Grid());
+    Field tmp(in.Grid());
+
+    MMdagLinearOperator<SparseMatrixBase<Field>,Field> MMdagOp(_Matrix);
+    _Guess(in,res);
+    _HermitianSolver(MMdagOp,in,res);  // M Mdag res = in ;
+    _Matrix.Mdag(res,out);             // out = Mdag res
+  }     
+};
+
 template<class Field> class HPDSolver : public LinearFunction<Field> {
 private:
   LinearOperatorBase<Field> & _Matrix;

Grid/algorithms/iterative/PowerMethod.h

@@ -20,7 +20,7 @@ template<class Field> class PowerMethod
     RealD evalMaxApprox = 0.0; 
     auto src_n = src; 
     auto tmp = src; 
-    const int _MAX_ITER_EST_ = 100; 
+    const int _MAX_ITER_EST_ = 200; 
 
     for (int i=0;i<_MAX_ITER_EST_;i++) { 
       
@@ -30,18 +30,17 @@ template<class Field> class PowerMethod
       RealD vden = norm2(src_n); 
       RealD na = vnum/vden; 
 
-      std::cout << GridLogIterative << "PowerMethod: Current approximation of largest eigenvalue " << na << std::endl;
+      std::cout << GridLogMessage << "PowerMethod: Current approximation of largest eigenvalue " << na << std::endl;
       
-      if ( (fabs(evalMaxApprox/na - 1.0) < 0.001) || (i==_MAX_ITER_EST_-1) ) { 
+      //      if ( (fabs(evalMaxApprox/na - 1.0) < 0.0001) || (i==_MAX_ITER_EST_-1) ) { 
- 	evalMaxApprox = na; 
+	// 	evalMaxApprox = na; 
-	std::cout << GridLogMessage << " Approximation of largest eigenvalue: " << evalMaxApprox << std::endl;
+	// 	return evalMaxApprox; 
- 	return evalMaxApprox; 
+      //      } 
-      } 
       evalMaxApprox = na; 
       src_n = tmp;
     }
-    assert(0);
+    std::cout << GridLogMessage << " Approximation of largest eigenvalue: " << evalMaxApprox << std::endl;
-    return 0;
+    return evalMaxApprox;
   }
 };
 }

Grid/algorithms/iterative/PowerSpectrum.h

@@ -0,0 +1,76 @@
+#pragma once
+namespace Grid {
+
+class Band
+{
+  RealD lo, hi;
+public:
+  Band(RealD _lo,RealD _hi)
+  {
+    lo=_lo;
+    hi=_hi;
+  }
+  RealD operator() (RealD x){
+    if ( x>lo && x<hi ){
+      return 1.0;
+    } else {
+      return 0.0;
+    }
+  }
+};
+
+class PowerSpectrum
+{ 
+ public: 
+
+  template<typename T>  static RealD normalise(T& v) 
+  {
+    RealD nn = norm2(v);
+    nn = sqrt(nn);
+    v = v * (1.0/nn);
+    return nn;
+  }
+
+  std::vector<RealD> ranges;
+  std::vector<int> order;
+  
+  PowerSpectrum(  std::vector<RealD> &bins, std::vector<int> &_order ) : ranges(bins), order(_order)  { };
+
+  template<class Field>
+  RealD operator()(LinearOperatorBase<Field> &HermOp, const Field &src) 
+  { 
+    GridBase *grid = src.Grid(); 
+    int N=ranges.size();
+    RealD hi = ranges[N-1];
+
+    RealD lo_band = 0.0;
+    RealD hi_band;
+    RealD nn=norm2(src);
+    RealD ss=0.0;
+
+    Field tmp = src;
+
+    for(int b=0;b<N;b++){
+      hi_band = ranges[b];
+      Band Notch(lo_band,hi_band);
+      
+      Chebyshev<Field> polynomial;
+      polynomial.Init(0.0,hi,order[b],Notch);
+      polynomial.JacksonSmooth();
+
+      polynomial(HermOp,src,tmp) ;
+
+      RealD p=norm2(tmp);
+      ss=ss+p;
+      std::cout << GridLogMessage << " PowerSpectrum Band["<<lo_band<<","<<hi_band<<"] power "<<norm2(tmp)/nn<<std::endl;
+      
+      lo_band=hi_band;
+    }
+    std::cout << GridLogMessage << " PowerSpectrum total power "<<ss/nn<<std::endl;
+    std::cout << GridLogMessage << " PowerSpectrum total power (unnormalised) "<<nn<<std::endl;
+
+    return 0;
+  };
+};
+  
+}

Grid/algorithms/iterative/PrecGeneralisedConjugateResidualNonHermitian.h

@@ -74,7 +74,7 @@ public:
 
   void operator() (const Field &src, Field &psi){
 
-    psi=Zero();
+    //    psi=Zero();
     RealD cp, ssq,rsq;
     ssq=norm2(src);
     rsq=Tolerance*Tolerance*ssq;

Grid/algorithms/iterative/SchurRedBlack.h

@@ -499,6 +499,87 @@ namespace Grid {
       }
   };
 
+  ///////////////////////////////////////////////////////////////////////////////////////////////////////
+  // Site diagonal is identity, left preconditioned by Mee^inv
+  // ( 1 - Mee^inv Meo Moo^inv Moe ) phi = Mee_inv ( Mee - Meo Moo^inv Moe Mee^inv  ) phi =  Mee_inv eta
+  //
+  // Solve:
+  // ( 1 - Mee^inv Meo Moo^inv Moe )^dag ( 1 - Mee^inv Meo Moo^inv Moe ) phi = ( 1 - Mee^inv Meo Moo^inv Moe )^dag  Mee_inv eta
+  //
+  // Old notation e<->o
+  //
+  // Left precon by Moo^-1
+  //  b) (Doo^{dag} M_oo^-dag) (Moo^-1 Doo) psi_o =  [ (D_oo)^dag M_oo^-dag ] Moo^-1 L^{-1}  eta_o
+  //                                   eta_o'     = (D_oo)^dag  M_oo^-dag Moo^-1 (eta_o - Moe Mee^{-1} eta_e)
+  ///////////////////////////////////////////////////////////////////////////////////////////////////////
+  template<class Field> class SchurRedBlackDiagOneSolve : public SchurRedBlackBase<Field> {
+  public:
+    typedef CheckerBoardedSparseMatrixBase<Field> Matrix;
+
+    /////////////////////////////////////////////////////
+    // Wrap the usual normal equations Schur trick
+    /////////////////////////////////////////////////////
+  SchurRedBlackDiagOneSolve(OperatorFunction<Field> &HermitianRBSolver, const bool initSubGuess = false,
+      const bool _solnAsInitGuess = false)  
+    : SchurRedBlackBase<Field>(HermitianRBSolver,initSubGuess,_solnAsInitGuess) {};
+
+    virtual void RedBlackSource(Matrix & _Matrix,const Field &src, Field &src_e,Field &src_o)
+    {
+      GridBase *grid = _Matrix.RedBlackGrid();
+      GridBase *fgrid= _Matrix.Grid();
+
+      SchurDiagOneOperator<Matrix,Field> _HermOpEO(_Matrix);
+      
+      Field   tmp(grid);
+      Field  Mtmp(grid);
+
+      pickCheckerboard(Even,src_e,src);
+      pickCheckerboard(Odd ,src_o,src);
+    
+      /////////////////////////////////////////////////////
+      // src_o = Mpcdag *MooeeInv * (source_o - Moe MeeInv source_e)
+      /////////////////////////////////////////////////////
+      _Matrix.MooeeInv(src_e,tmp);     assert(  tmp.Checkerboard() ==Even);
+      _Matrix.Meooe   (tmp,Mtmp);      assert( Mtmp.Checkerboard() ==Odd);     
+      Mtmp=src_o-Mtmp;                 
+      _Matrix.MooeeInv(Mtmp,tmp);      assert( tmp.Checkerboard() ==Odd);     
+      
+      // get the right MpcDag
+      _HermOpEO.MpcDag(tmp,src_o);     assert(src_o.Checkerboard() ==Odd);       
+    }
+
+    virtual void RedBlackSolution(Matrix & _Matrix,const Field &sol_o, const Field &src_e,Field &sol)
+    {
+      GridBase *grid = _Matrix.RedBlackGrid();
+      GridBase *fgrid= _Matrix.Grid();
+
+      Field   tmp(grid);
+      Field   sol_e(grid);
+
+
+      ///////////////////////////////////////////////////
+      // sol_e = M_ee^-1 * ( src_e - Meo sol_o )...
+      ///////////////////////////////////////////////////
+      _Matrix.Meooe(sol_o,tmp);    assert(  tmp.Checkerboard()   ==Even);
+      tmp = src_e-tmp;             assert(  src_e.Checkerboard() ==Even);
+      _Matrix.MooeeInv(tmp,sol_e); assert(  sol_e.Checkerboard() ==Even);
+     
+      setCheckerboard(sol,sol_e);  assert(  sol_e.Checkerboard() ==Even);
+      setCheckerboard(sol,sol_o);  assert(  sol_o.Checkerboard() ==Odd );
+    };
+
+    virtual void RedBlackSolve   (Matrix & _Matrix,const Field &src_o, Field &sol_o)
+    {
+      SchurDiagOneOperator<Matrix,Field> _HermOpEO(_Matrix);
+      this->_HermitianRBSolver(_HermOpEO,src_o,sol_o);
+    };
+    virtual void RedBlackSolve   (Matrix & _Matrix,const std::vector<Field> &src_o,  std::vector<Field> &sol_o)
+    {
+      SchurDiagOneOperator<Matrix,Field> _HermOpEO(_Matrix);
+      this->_HermitianRBSolver(_HermOpEO,src_o,sol_o); 
+    }
+  };
+
   ///////////////////////////////////////////////////////////////////////////////////////////////////////
   // Site diagonal is identity, right preconditioned by Mee^inv
   // ( 1 - Meo Moo^inv Moe Mee^inv  ) phi =( 1 - Meo Moo^inv Moe Mee^inv  ) Mee psi =  = eta  = eta

Grid/algorithms/multigrid/Aggregates.h

@@ -30,6 +30,8 @@ Author: paboyle <paboyle@ph.ed.ac.uk>
 /*  END LEGAL */
 #pragma once
 
+#include <Grid/algorithms/iterative/PrecGeneralisedConjugateResidualNonHermitian.h>
+
 NAMESPACE_BEGIN(Grid);
 
 inline RealD AggregatePowerLaw(RealD x)
@@ -95,7 +97,7 @@ public:
 
     RealD scale;
 
-    ConjugateGradient<FineField> CG(1.0e-2,100,false);
+    ConjugateGradient<FineField> CG(1.0e-3,400,false);
     FineField noise(FineGrid);
     FineField Mn(FineGrid);
 
@@ -108,7 +110,7 @@ public:
       
       hermop.Op(noise,Mn); std::cout<<GridLogMessage << "noise   ["<<b<<"] <n|MdagM|n> "<<norm2(Mn)<<std::endl;
 
-      for(int i=0;i<1;i++){
+      for(int i=0;i<4;i++){
 
 	CG(hermop,noise,subspace[b]);
 
@@ -124,6 +126,53 @@ public:
     }
   }
 
+  virtual void CreateSubspaceGCR(GridParallelRNG  &RNG,LinearOperatorBase<FineField> &DiracOp,int nn=nbasis)
+  {
+    RealD scale;
+
+    TrivialPrecon<FineField> simple_fine;
+    PrecGeneralisedConjugateResidualNonHermitian<FineField> GCR(0.001,30,DiracOp,simple_fine,12,12);
+    FineField noise(FineGrid);
+    FineField src(FineGrid);
+    FineField guess(FineGrid);
+    FineField Mn(FineGrid);
+
+    for(int b=0;b<nn;b++){
+      
+      subspace[b] = Zero();
+      gaussian(RNG,noise);
+      scale = std::pow(norm2(noise),-0.5); 
+      noise=noise*scale;
+      
+      DiracOp.Op(noise,Mn); std::cout<<GridLogMessage << "noise   ["<<b<<"] <n|Op|n> "<<innerProduct(noise,Mn)<<std::endl;
+
+      for(int i=0;i<2;i++){
+	//  void operator() (const Field &src, Field &psi){
+#if 1
+	std::cout << GridLogMessage << " inverting on noise "<<std::endl;
+	src = noise;
+	guess=Zero();
+	GCR(src,guess);
+	subspace[b] = guess;
+#else
+	std::cout << GridLogMessage << " inverting on zero "<<std::endl;
+	src=Zero();
+	guess = noise;
+	GCR(src,guess);
+	subspace[b] = guess;
+#endif
+	noise = subspace[b];
+	scale = std::pow(norm2(noise),-0.5); 
+	noise=noise*scale;
+
+      }
+
+      DiracOp.Op(noise,Mn); std::cout<<GridLogMessage << "filtered["<<b<<"] <f|Op|f> "<<innerProduct(noise,Mn)<<std::endl;
+      subspace[b]   = noise;
+
+    }
+  }
+
   ////////////////////////////////////////////////////////////////////////////////////////////////
   // World of possibilities here. But have tried quite a lot of experiments (250+ jobs run on Summit)
   // and this is the best I found
@@ -160,14 +209,21 @@ public:
 
     int b =0;
     {
+      ComplexD ip;
       // Filter
       Chebyshev<FineField> Cheb(lo,hi,orderfilter);
       Cheb(hermop,noise,Mn);
       // normalise
       scale = std::pow(norm2(Mn),-0.5); 	Mn=Mn*scale;
       subspace[b]   = Mn;
+
       hermop.Op(Mn,tmp);
-      std::cout<<GridLogMessage << "filt ["<<b<<"] <n|MdagM|n> "<<norm2(tmp)<<std::endl;
+      ip= innerProduct(Mn,tmp); 
+      std::cout<<GridLogMessage << "filt ["<<b<<"] <n|Op|n> "<<norm2(tmp)<<" "<<ip<<std::endl;
+
+      hermop.AdjOp(Mn,tmp); 
+      ip = innerProduct(Mn,tmp); 
+      std::cout<<GridLogMessage << "filt ["<<b<<"] <n|AdjOp|n> "<<norm2(tmp)<<" "<<ip<<std::endl;
       b++;
     }
 
@@ -213,8 +269,18 @@ public:
 	  Mn=*Tnp;
 	  scale = std::pow(norm2(Mn),-0.5);         Mn=Mn*scale;
 	  subspace[b] = Mn;
+
+
+	  ComplexD ip;
+
 	  hermop.Op(Mn,tmp);
-	  std::cout<<GridLogMessage << n<<" filt ["<<b<<"] <n|MdagM|n> "<<norm2(tmp)<<std::endl;
+	  ip= innerProduct(Mn,tmp); 
+	  std::cout<<GridLogMessage << "filt ["<<b<<"] <n|Op|n> "<<norm2(tmp)<<" "<<ip<<std::endl;
+
+	  hermop.AdjOp(Mn,tmp); 
+	  ip = innerProduct(Mn,tmp); 
+	  std::cout<<GridLogMessage << "filt ["<<b<<"] <n|AdjOp|n> "<<norm2(tmp)<<" "<<ip<<std::endl;
+	  
 	  b++;
 	}
 
@@ -228,6 +294,70 @@ public:
     }
     assert(b==nn);
   }
+
+
+  virtual void CreateSubspacePolyCheby(GridParallelRNG  &RNG,LinearOperatorBase<FineField> &hermop,
+				       int nn,
+				       double hi,
+				       double lo1,
+				       int orderfilter,
+				       double lo2,
+				       int orderstep)
+  {
+    RealD scale;
+
+    FineField noise(FineGrid);
+    FineField Mn(FineGrid);
+    FineField tmp(FineGrid);
+
+    // New normalised noise
+    gaussian(RNG,noise);
+    scale = std::pow(norm2(noise),-0.5); 
+    noise=noise*scale;
+
+    std::cout << GridLogMessage<<" CreateSubspacePolyCheby "<<std::endl;
+    // Initial matrix element
+    hermop.Op(noise,Mn);
+    std::cout<<GridLogMessage << "noise <n|MdagM|n> "<<norm2(Mn)<<std::endl;
+
+    int b =0;
+    {
+      // Filter
+      std::cout << GridLogMessage << "Cheby "<<lo1<<","<<hi<<" "<<orderstep<<std::endl;
+      Chebyshev<FineField> Cheb(lo1,hi,orderfilter);
+      Cheb(hermop,noise,Mn);
+      // normalise
+      scale = std::pow(norm2(Mn),-0.5); 	Mn=Mn*scale;
+      subspace[b]   = Mn;
+      hermop.Op(Mn,tmp); 
+      std::cout<<GridLogMessage << "filt ["<<b<<"] <n|MdagM|n> "<<norm2(tmp)<<std::endl;
+      std::cout<<GridLogMessage << "filt ["<<b<<"] <n|n> "<<norm2(Mn)<<std::endl;
+    }
+
+    // Generate a full sequence of Chebyshevs
+    for(int n=1;n<nn;n++){
+      std::cout << GridLogMessage << "Cheby "<<lo2<<","<<hi<<" "<<orderstep<<std::endl;
+      Chebyshev<FineField> Cheb(lo2,hi,orderstep);
+      Cheb(hermop,subspace[n-1],Mn);
+
+      for(int m=0;m<n;m++){
+	ComplexD c = innerProduct(subspace[m],Mn);
+	Mn = Mn - c*subspace[m];
+      }
+      
+      // normalise
+      scale = std::pow(norm2(Mn),-0.5);
+      Mn=Mn*scale;
+      
+      subspace[n]=Mn;
+      
+      hermop.Op(Mn,tmp); 
+      std::cout<<GridLogMessage << "filt ["<<n<<"] <n|MdagM|n> "<<norm2(tmp)<<std::endl;
+      std::cout<<GridLogMessage << "filt ["<<n<<"] <n|n> "<<norm2(Mn)<<std::endl;
+
+    }
+  }
+
   virtual void CreateSubspaceChebyshev(GridParallelRNG  &RNG,LinearOperatorBase<FineField> &hermop,
 				       int nn,
 				       double hi,

Grid/algorithms/multigrid/CoarsenedMatrix.h

@@ -99,7 +99,7 @@ public:
   CoarseMatrix AselfInvEven;
   CoarseMatrix AselfInvOdd;
 
-  Vector<RealD> dag_factor;
+  deviceVector<RealD> dag_factor;
 
   ///////////////////////
   // Interface
@@ -124,9 +124,13 @@ public:
     int npoint = geom.npoint;
     typedef LatticeView<Cobj> Aview;
       
-    Vector<Aview> AcceleratorViewContainer;
+    deviceVector<Aview> AcceleratorViewContainer(geom.npoint);
+    hostVector<Aview>   hAcceleratorViewContainer(geom.npoint);
   
-    for(int p=0;p<geom.npoint;p++) AcceleratorViewContainer.push_back(A[p].View(AcceleratorRead));
+    for(int p=0;p<geom.npoint;p++) {
+      hAcceleratorViewContainer[p] = A[p].View(AcceleratorRead);
+      acceleratorPut(AcceleratorViewContainer[p],hAcceleratorViewContainer[p]);
+    }
     Aview *Aview_p = & AcceleratorViewContainer[0];
 
     const int Nsimd = CComplex::Nsimd();
@@ -161,7 +165,7 @@ public:
       coalescedWrite(out_v[ss](b),res);
       });
 
-    for(int p=0;p<geom.npoint;p++) AcceleratorViewContainer[p].ViewClose();
+    for(int p=0;p<geom.npoint;p++) hAcceleratorViewContainer[p].ViewClose();
   };
 
   void Mdag (const CoarseVector &in, CoarseVector &out)
@@ -190,9 +194,14 @@ public:
     int npoint = geom.npoint;
     typedef LatticeView<Cobj> Aview;
 
-    Vector<Aview> AcceleratorViewContainer;
 
-    for(int p=0;p<geom.npoint;p++) AcceleratorViewContainer.push_back(A[p].View(AcceleratorRead));
+    deviceVector<Aview> AcceleratorViewContainer(geom.npoint);
+    hostVector<Aview>   hAcceleratorViewContainer(geom.npoint);
+  
+    for(int p=0;p<geom.npoint;p++) {
+      hAcceleratorViewContainer[p] = A[p].View(AcceleratorRead);
+      acceleratorPut(AcceleratorViewContainer[p],hAcceleratorViewContainer[p]);
+    }
     Aview *Aview_p = & AcceleratorViewContainer[0];
 
     const int Nsimd = CComplex::Nsimd();
@@ -201,10 +210,10 @@ public:
 
     int osites=Grid()->oSites();
 
-    Vector<int> points(geom.npoint, 0);
+    deviceVector<int> points(geom.npoint);
-    for(int p=0; p<geom.npoint; p++)
+    for(int p=0; p<geom.npoint; p++) { 
-      points[p] = geom.points_dagger[p];
+      acceleratorPut(points[p],geom.points_dagger[p]);
-
+    }
     auto points_p = &points[0];
 
     RealD* dag_factor_p = &dag_factor[0];
@@ -236,7 +245,7 @@ public:
       coalescedWrite(out_v[ss](b),res);
       });
 
-    for(int p=0;p<geom.npoint;p++) AcceleratorViewContainer[p].ViewClose();
+    for(int p=0;p<geom.npoint;p++) hAcceleratorViewContainer[p].ViewClose();
   }
 
   void MdirComms(const CoarseVector &in)
@@ -251,8 +260,14 @@ public:
     out.Checkerboard() = in.Checkerboard();
 
     typedef LatticeView<Cobj> Aview;
-    Vector<Aview> AcceleratorViewContainer;
+
-    for(int p=0;p<geom.npoint;p++) AcceleratorViewContainer.push_back(A[p].View(AcceleratorRead));
+    deviceVector<Aview> AcceleratorViewContainer(geom.npoint);
+    hostVector<Aview>   hAcceleratorViewContainer(geom.npoint);
+  
+    for(int p=0;p<geom.npoint;p++) {
+      hAcceleratorViewContainer[p] = A[p].View(AcceleratorRead);
+      acceleratorPut(AcceleratorViewContainer[p],hAcceleratorViewContainer[p]);
+    }
     Aview *Aview_p = & AcceleratorViewContainer[0];
 
     autoView( out_v , out, AcceleratorWrite);
@@ -285,7 +300,7 @@ public:
       }
       coalescedWrite(out_v[ss](b),res);
     });
-    for(int p=0;p<geom.npoint;p++) AcceleratorViewContainer[p].ViewClose();
+    for(int p=0;p<geom.npoint;p++) hAcceleratorViewContainer[p].ViewClose();
   }
   void MdirAll(const CoarseVector &in,std::vector<CoarseVector> &out)
   {
@@ -469,14 +484,20 @@ public:
 
     // determine in what order we need the points
     int npoint = geom.npoint-1;
-    Vector<int> points(npoint, 0);
+    deviceVector<int> points(npoint);
-    for(int p=0; p<npoint; p++)
+    for(int p=0; p<npoint; p++) {
-      points[p] = (dag && !hermitian) ? geom.points_dagger[p] : p;
+      int val = (dag && !hermitian) ? geom.points_dagger[p] : p;
-
+      acceleratorPut(points[p], val);
+    }
     auto points_p = &points[0];
 
-    Vector<Aview> AcceleratorViewContainer;
+    deviceVector<Aview> AcceleratorViewContainer(geom.npoint);
-    for(int p=0;p<npoint;p++) AcceleratorViewContainer.push_back(a[p].View(AcceleratorRead));
+    hostVector<Aview>   hAcceleratorViewContainer(geom.npoint);
+  
+    for(int p=0;p<geom.npoint;p++) {
+      hAcceleratorViewContainer[p] = a[p].View(AcceleratorRead);
+      acceleratorPut(AcceleratorViewContainer[p],hAcceleratorViewContainer[p]);
+    }
     Aview *Aview_p = & AcceleratorViewContainer[0];
 
     const int Nsimd = CComplex::Nsimd();
@@ -539,7 +560,7 @@ public:
       });
     }
 
-    for(int p=0;p<npoint;p++) AcceleratorViewContainer[p].ViewClose();
+    for(int p=0;p<npoint;p++) hAcceleratorViewContainer[p].ViewClose();
   }
   
   CoarsenedMatrix(GridCartesian &CoarseGrid, int hermitian_=0) 	:
@@ -590,11 +611,13 @@ public:
     }
 
     // GPU readable prefactor
+    std::vector<RealD> h_dag_factor(nbasis*nbasis);
     thread_for(i, nbasis*nbasis, {
       int j = i/nbasis;
       int k = i%nbasis;
-      dag_factor[i] = dag_factor_eigen(j, k);
+      h_dag_factor[i] = dag_factor_eigen(j, k);
     });
+    acceleratorCopyToDevice(&h_dag_factor[0],&dag_factor[0],dag_factor.size()*sizeof(RealD));
   }
 
   void CoarsenOperator(GridBase *FineGrid,LinearOperatorBase<Lattice<Fobj> > &linop,

Grid/algorithms/multigrid/GeneralCoarsenedMatrix.h

@@ -441,8 +441,20 @@ public:
     std::cout << GridLogMessage<<"CoarsenOperator inv    "<<tinv<<" us"<<std::endl;
   }
 #else
+  //////////////////////////////////////////////////////////////////////
+  // Galerkin projection of matrix
+  //////////////////////////////////////////////////////////////////////
   void CoarsenOperator(LinearOperatorBase<Lattice<Fobj> > &linop,
 		       Aggregation<Fobj,CComplex,nbasis> & Subspace)
+  {
+    CoarsenOperator(linop,Subspace,Subspace);
+  }
+  //////////////////////////////////////////////////////////////////////
+  // Petrov - Galerkin projection of matrix
+  //////////////////////////////////////////////////////////////////////
+  void CoarsenOperator(LinearOperatorBase<Lattice<Fobj> > &linop,
+		       Aggregation<Fobj,CComplex,nbasis> & U,
+		       Aggregation<Fobj,CComplex,nbasis> & V)
   {
     std::cout << GridLogMessage<< "GeneralCoarsenMatrix "<< std::endl;
     GridBase *grid = FineGrid();
@@ -458,11 +470,9 @@ public:
     // Orthogonalise the subblocks over the basis
     /////////////////////////////////////////////////////////////
     CoarseScalar InnerProd(CoarseGrid()); 
-    blockOrthogonalise(InnerProd,Subspace.subspace);
+    blockOrthogonalise(InnerProd,V.subspace);
+    blockOrthogonalise(InnerProd,U.subspace);
 
-    //    for(int s=0;s<Subspace.subspace.size();s++){
-      //      std::cout << " subspace norm "<<norm2(Subspace.subspace[s])<<std::endl;
-    //    }
     const int npoint = geom.npoint;
       
     Coordinate clatt = CoarseGrid()->GlobalDimensions();
@@ -542,7 +552,7 @@ public:
       std::cout << GridLogMessage<< "CoarsenMatrixColoured vec "<<i<<"/"<<nbasis<< std::endl;
       for(int p=0;p<npoint;p++){ // Loop over momenta in npoint
 	tphaseBZ-=usecond();
-	phaV = phaF[p]*Subspace.subspace[i];
+	phaV = phaF[p]*V.subspace[i];
 	tphaseBZ+=usecond();
 
 	/////////////////////////////////////////////////////////////////////
@@ -555,7 +565,7 @@ public:
 	//	std::cout << i << " " <<p << " MphaV "<<norm2(MphaV)<<" "<<norm2(phaV)<<std::endl;
 
 	tproj-=usecond();
-	blockProject(coarseInner,MphaV,Subspace.subspace);
+	blockProject(coarseInner,MphaV,U.subspace);
 	coarseInner = conjugate(pha[p]) * coarseInner;
 
 	ComputeProj[p] = coarseInner;

Grid/allocator/AlignedAllocator.h

@@ -54,6 +54,9 @@ public:
     size_type bytes = __n*sizeof(_Tp);
     profilerAllocate(bytes);
     _Tp *ptr = (_Tp*) MemoryManager::CpuAllocate(bytes);
+    if ( (_Tp*)ptr == (_Tp *) NULL ) {
+      printf("Grid CPU Allocator got NULL for %lu bytes\n",(unsigned long) bytes );
+    }
     assert( ( (_Tp*)ptr != (_Tp *)NULL ) );
     return ptr;
   }
@@ -66,7 +69,7 @@ public:
   }
 
   // FIXME: hack for the copy constructor: it must be avoided to avoid single thread loop
-  void construct(pointer __p, const _Tp& __val) { assert(0);};
+  void construct(pointer __p, const _Tp& __val) { };
   void construct(pointer __p) { };
   void destroy(pointer __p) { };
 };
@@ -100,6 +103,9 @@ public:
     size_type bytes = __n*sizeof(_Tp);
     profilerAllocate(bytes);
     _Tp *ptr = (_Tp*) MemoryManager::SharedAllocate(bytes);
+    if ( (_Tp*)ptr == (_Tp *) NULL ) {
+      printf("Grid Shared Allocator got NULL for %lu bytes\n",(unsigned long) bytes );
+    }
     assert( ( (_Tp*)ptr != (_Tp *)NULL ) );
     return ptr;
   }
@@ -145,6 +151,9 @@ public:
     size_type bytes = __n*sizeof(_Tp);
     profilerAllocate(bytes);
     _Tp *ptr = (_Tp*) MemoryManager::AcceleratorAllocate(bytes);
+    if ( (_Tp*)ptr == (_Tp *) NULL ) {
+      printf("Grid Device Allocator got NULL for %lu bytes\n",(unsigned long) bytes );
+    }
     assert( ( (_Tp*)ptr != (_Tp *)NULL ) );
     return ptr;
   }
@@ -165,19 +174,10 @@ template<typename _Tp>  inline bool operator!=(const devAllocator<_Tp>&, const d
 ////////////////////////////////////////////////////////////////////////////////
 // Template typedefs
 ////////////////////////////////////////////////////////////////////////////////
-#ifdef ACCELERATOR_CSHIFT
+template<class T> using hostVector          = std::vector<T,alignedAllocator<T> >;           // Needs autoview
-// Cshift on device
+template<class T> using Vector              = std::vector<T,uvmAllocator<T> >;               // Really want to deprecate
-template<class T> using cshiftAllocator = devAllocator<T>;
+template<class T> using uvmVector           = std::vector<T,uvmAllocator<T> >;               // auto migrating page
-#else
+template<class T> using deviceVector        = std::vector<T,devAllocator<T> >;               // device vector
-// Cshift on host
-template<class T> using cshiftAllocator = std::allocator<T>;
-#endif
-
-template<class T> using Vector        = std::vector<T,uvmAllocator<T> >;           
-template<class T> using stencilVector = std::vector<T,alignedAllocator<T> >;           
-template<class T> using commVector    = std::vector<T,devAllocator<T> >;
-template<class T> using deviceVector  = std::vector<T,devAllocator<T> >;
-template<class T> using cshiftVector  = std::vector<T,cshiftAllocator<T> >;
 
 /*
 template<class T> class vecView
@@ -188,8 +188,9 @@ template<class T> class vecView
   ViewMode mode;
   void * cpu_ptr;
  public:
+  // Rvalue accessor
   accelerator_inline T & operator[](size_t i) const { return this->data[i]; };
-  vecView(std::vector<T> &refer_to_me,ViewMode _mode)
+  vecView(Vector<T> &refer_to_me,ViewMode _mode)
   {
     cpu_ptr = &refer_to_me[0];
     size = refer_to_me.size();
@@ -205,22 +206,12 @@ template<class T> class vecView
   }
 };
 
-template<class T> vecView<T> VectorView(std::vector<T> &vec,ViewMode _mode)
+template<class T> vecView<T> VectorView(Vector<T> &vec,ViewMode _mode)
 {
   vecView<T> ret(vec,_mode); // does the open
   return ret;                // must be closed
 }
 
-// Little autoscope assister
-template<class View> 
-class VectorViewCloser
-{
-  View v;  // Take a copy of view and call view close when I go out of scope automatically
- public:
-  VectorViewCloser(View &_v) : v(_v) {};
-  ~VectorViewCloser() { auto ptr = v.cpu_ptr; v.ViewClose();  MemoryManager::NotifyDeletion(ptr);}
-};
-
 #define autoVecView(v_v,v,mode)					\
   auto v_v = VectorView(v,mode);				\
   ViewCloser<decltype(v_v)> _autoView##v_v(v_v);

Grid/allocator/MemoryManager.cc

@@ -16,6 +16,44 @@ NAMESPACE_BEGIN(Grid);
 uint64_t total_shared;
 uint64_t total_device;
 uint64_t total_host;;
+
+#if defined(__has_feature)
+#if __has_feature(leak_sanitizer)
+#define ASAN_LEAK_CHECK
+#endif
+#endif
+
+#ifdef ASAN_LEAK_CHECK
+#include <sanitizer/asan_interface.h>
+#include <sanitizer/common_interface_defs.h>
+#include <sanitizer/lsan_interface.h>
+#define LEAK_CHECK(A) { __lsan_do_recoverable_leak_check(); }
+#else
+#define LEAK_CHECK(A) { }
+#endif
+
+void MemoryManager::DisplayMallinfo(void)
+{
+#ifdef __linux__
+  struct mallinfo mi; // really want mallinfo2, but glibc version isn't uniform
+  
+  mi = mallinfo();
+
+  std::cout << "MemoryManager: Total non-mmapped bytes (arena):       "<< (size_t)mi.arena<<std::endl;
+  std::cout << "MemoryManager: # of free chunks (ordblks):            "<< (size_t)mi.ordblks<<std::endl;
+  std::cout << "MemoryManager: # of free fastbin blocks (smblks):     "<< (size_t)mi.smblks<<std::endl;
+  std::cout << "MemoryManager: # of mapped regions (hblks):           "<< (size_t)mi.hblks<<std::endl;
+  std::cout << "MemoryManager: Bytes in mapped regions (hblkhd):      "<< (size_t)mi.hblkhd<<std::endl;
+  std::cout << "MemoryManager: Max. total allocated space (usmblks):  "<< (size_t)mi.usmblks<<std::endl;
+  std::cout << "MemoryManager: Free bytes held in fastbins (fsmblks): "<< (size_t)mi.fsmblks<<std::endl;
+  std::cout << "MemoryManager: Total allocated space (uordblks):      "<< (size_t)mi.uordblks<<std::endl;
+  std::cout << "MemoryManager: Total free space (fordblks):           "<< (size_t)mi.fordblks<<std::endl;
+  std::cout << "MemoryManager: Topmost releasable block (keepcost):   "<< (size_t)mi.keepcost<<std::endl;
+#endif
+  LEAK_CHECK();
+ 
+}
+
 void MemoryManager::PrintBytes(void)
 {
   std::cout << " MemoryManager : ------------------------------------ "<<std::endl;
@@ -35,7 +73,7 @@ void MemoryManager::PrintBytes(void)
 #ifdef GRID_CUDA
   cuda_mem();
 #endif
-  
+  DisplayMallinfo();
 }
 
 uint64_t MemoryManager::DeviceCacheBytes() { return CacheBytes[Acc] + CacheBytes[AccHuge] + CacheBytes[AccSmall]; }

Grid/allocator/MemoryManager.h

@@ -211,6 +211,7 @@ private:
 #endif
 
  public:
+  static void DisplayMallinfo(void);
   static void NotifyDeletion(void * CpuPtr);
   static void Print(void);
   static void PrintAll(void);

Grid/allocator/MemoryManagerCache.cc

@@ -1,16 +1,15 @@
 #include <Grid/GridCore.h>
 #ifndef GRID_UVM
 
-#warning "Using explicit device memory copies"
 NAMESPACE_BEGIN(Grid);
 
 #define MAXLINE 512
 static char print_buffer [ MAXLINE ];
 
-#define mprintf(...) snprintf (print_buffer,MAXLINE, __VA_ARGS__ ); std::cout << GridLogMemory << print_buffer;
+#define mprintf(...) snprintf (print_buffer,MAXLINE, __VA_ARGS__ ); std::cout << GridLogMemory << print_buffer << std::endl;
-#define dprintf(...) snprintf (print_buffer,MAXLINE, __VA_ARGS__ ); std::cout << GridLogDebug << print_buffer;
+#define dprintf(...) snprintf (print_buffer,MAXLINE, __VA_ARGS__ ); std::cout << GridLogDebug  << print_buffer << std::endl;
 //#define dprintf(...) 
-
+//#define mprintf(...) 
 
 ////////////////////////////////////////////////////////////
 // For caching copies of data on device
@@ -111,7 +110,7 @@ void MemoryManager::AccDiscard(AcceleratorViewEntry &AccCache)
   ///////////////////////////////////////////////////////////
   assert(AccCache.state!=Empty);
   
-  dprintf("MemoryManager: Discard(%lx) %lx\n",(uint64_t)AccCache.CpuPtr,(uint64_t)AccCache.AccPtr); 
+  dprintf("MemoryManager: Discard(%lx) %lx",(uint64_t)AccCache.CpuPtr,(uint64_t)AccCache.AccPtr); 
   assert(AccCache.accLock==0);
   assert(AccCache.cpuLock==0);
   assert(AccCache.CpuPtr!=(uint64_t)NULL);
@@ -121,7 +120,7 @@ void MemoryManager::AccDiscard(AcceleratorViewEntry &AccCache)
     DeviceBytes   -=AccCache.bytes;
     LRUremove(AccCache);
     AccCache.AccPtr=(uint64_t) NULL;
-    dprintf("MemoryManager: Free(%lx) LRU %ld Total %ld\n",(uint64_t)AccCache.AccPtr,DeviceLRUBytes,DeviceBytes);  
+    dprintf("MemoryManager: Free(%lx) LRU %ld Total %ld",(uint64_t)AccCache.AccPtr,DeviceLRUBytes,DeviceBytes);  
   }
   uint64_t CpuPtr = AccCache.CpuPtr;
   EntryErase(CpuPtr);
@@ -141,7 +140,7 @@ void MemoryManager::Evict(AcceleratorViewEntry &AccCache)
   ///////////////////////////////////////////////////////////////////////////
   assert(AccCache.state!=Empty);
   
-  mprintf("MemoryManager: Evict CpuPtr %lx AccPtr %lx cpuLock %ld accLock %ld\n",
+  mprintf("MemoryManager: Evict CpuPtr %lx AccPtr %lx cpuLock %ld accLock %ld",
 	  (uint64_t)AccCache.CpuPtr,(uint64_t)AccCache.AccPtr,
 	  (uint64_t)AccCache.cpuLock,(uint64_t)AccCache.accLock); 
   if (AccCache.accLock!=0) return;
@@ -155,7 +154,7 @@ void MemoryManager::Evict(AcceleratorViewEntry &AccCache)
     AccCache.AccPtr=(uint64_t)NULL;
     AccCache.state=CpuDirty; // CPU primary now
     DeviceBytes   -=AccCache.bytes;
-    dprintf("MemoryManager: Free(AccPtr %lx) footprint now %ld \n",(uint64_t)AccCache.AccPtr,DeviceBytes);  
+    dprintf("MemoryManager: Free(AccPtr %lx) footprint now %ld ",(uint64_t)AccCache.AccPtr,DeviceBytes);  
   }
   //  uint64_t CpuPtr = AccCache.CpuPtr;
   DeviceEvictions++;
@@ -169,7 +168,7 @@ void MemoryManager::Flush(AcceleratorViewEntry &AccCache)
   assert(AccCache.AccPtr!=(uint64_t)NULL);
   assert(AccCache.CpuPtr!=(uint64_t)NULL);
   acceleratorCopyFromDevice((void *)AccCache.AccPtr,(void *)AccCache.CpuPtr,AccCache.bytes);
-  mprintf("MemoryManager: acceleratorCopyFromDevice Flush AccPtr %lx -> CpuPtr %lx\n",(uint64_t)AccCache.AccPtr,(uint64_t)AccCache.CpuPtr); fflush(stdout);
+  mprintf("MemoryManager: acceleratorCopyFromDevice Flush size %ld AccPtr %lx -> CpuPtr %lx",(uint64_t)AccCache.bytes,(uint64_t)AccCache.AccPtr,(uint64_t)AccCache.CpuPtr); fflush(stdout);
   DeviceToHostBytes+=AccCache.bytes;
   DeviceToHostXfer++;
   AccCache.state=Consistent;
@@ -184,7 +183,9 @@ void MemoryManager::Clone(AcceleratorViewEntry &AccCache)
     AccCache.AccPtr=(uint64_t)AcceleratorAllocate(AccCache.bytes);
     DeviceBytes+=AccCache.bytes;
   }
-  mprintf("MemoryManager: acceleratorCopyToDevice   Clone AccPtr %lx <- CpuPtr %lx\n",(uint64_t)AccCache.AccPtr,(uint64_t)AccCache.CpuPtr); fflush(stdout);
+  mprintf("MemoryManager: acceleratorCopyToDevice   Clone size %ld AccPtr %lx <- CpuPtr %lx",
+	  (uint64_t)AccCache.bytes,
+	  (uint64_t)AccCache.AccPtr,(uint64_t)AccCache.CpuPtr); fflush(stdout);
   acceleratorCopyToDevice((void *)AccCache.CpuPtr,(void *)AccCache.AccPtr,AccCache.bytes);
   HostToDeviceBytes+=AccCache.bytes;
   HostToDeviceXfer++;
@@ -210,7 +211,7 @@ void MemoryManager::CpuDiscard(AcceleratorViewEntry &AccCache)
 void MemoryManager::ViewClose(void* Ptr,ViewMode mode)
 {
   if( (mode==AcceleratorRead)||(mode==AcceleratorWrite)||(mode==AcceleratorWriteDiscard) ){
-    dprintf("AcceleratorViewClose %lx\n",(uint64_t)Ptr);
+    dprintf("AcceleratorViewClose %lx",(uint64_t)Ptr);
     AcceleratorViewClose((uint64_t)Ptr);
   } else if( (mode==CpuRead)||(mode==CpuWrite)){
     CpuViewClose((uint64_t)Ptr);
@@ -222,7 +223,7 @@ void *MemoryManager::ViewOpen(void* _CpuPtr,size_t bytes,ViewMode mode,ViewAdvis
 {
   uint64_t CpuPtr = (uint64_t)_CpuPtr;
   if( (mode==AcceleratorRead)||(mode==AcceleratorWrite)||(mode==AcceleratorWriteDiscard) ){
-    dprintf("AcceleratorViewOpen %lx\n",(uint64_t)CpuPtr);
+    dprintf("AcceleratorViewOpen %lx",(uint64_t)CpuPtr);
     return (void *) AcceleratorViewOpen(CpuPtr,bytes,mode,hint);
   } else if( (mode==CpuRead)||(mode==CpuWrite)){
     return (void *)CpuViewOpen(CpuPtr,bytes,mode,hint);
@@ -233,6 +234,9 @@ void *MemoryManager::ViewOpen(void* _CpuPtr,size_t bytes,ViewMode mode,ViewAdvis
 }
 void  MemoryManager::EvictVictims(uint64_t bytes)
 {
+  if(bytes>=DeviceMaxBytes) {
+    printf("EvictVictims bytes %ld DeviceMaxBytes %ld\n",bytes,DeviceMaxBytes);
+  }
   assert(bytes<DeviceMaxBytes);
   while(bytes+DeviceLRUBytes > DeviceMaxBytes){
     if ( DeviceLRUBytes > 0){
@@ -265,7 +269,7 @@ uint64_t MemoryManager::AcceleratorViewOpen(uint64_t CpuPtr,size_t bytes,ViewMod
   assert(AccCache.cpuLock==0);  // Programming error
 
   if(AccCache.state!=Empty) {
-    dprintf("ViewOpen found entry %lx %lx : %ld %ld accLock %ld\n",
+    dprintf("ViewOpen found entry %lx %lx : sizes %ld %ld accLock %ld",
 		    (uint64_t)AccCache.CpuPtr,
 		    (uint64_t)CpuPtr,
 		    (uint64_t)AccCache.bytes,
@@ -305,7 +309,7 @@ uint64_t MemoryManager::AcceleratorViewOpen(uint64_t CpuPtr,size_t bytes,ViewMod
       AccCache.state  = Consistent; // Empty + AccRead => Consistent
     }
     AccCache.accLock= 1;
-    dprintf("Copied Empty entry into device accLock= %d\n",AccCache.accLock);
+    dprintf("Copied Empty entry into device accLock= %d",AccCache.accLock);
   } else if(AccCache.state==CpuDirty ){
     if(mode==AcceleratorWriteDiscard) {
       CpuDiscard(AccCache);
@@ -318,21 +322,21 @@ uint64_t MemoryManager::AcceleratorViewOpen(uint64_t CpuPtr,size_t bytes,ViewMod
       AccCache.state  = Consistent; // CpuDirty + AccRead => Consistent
     }
     AccCache.accLock++;
-    dprintf("CpuDirty entry into device ++accLock= %d\n",AccCache.accLock);
+    dprintf("CpuDirty entry into device ++accLock= %d",AccCache.accLock);
   } else if(AccCache.state==Consistent) {
     if((mode==AcceleratorWrite)||(mode==AcceleratorWriteDiscard))
       AccCache.state  = AccDirty;   // Consistent + AcceleratorWrite=> AccDirty
     else
       AccCache.state  = Consistent; // Consistent + AccRead => Consistent
     AccCache.accLock++;
-    dprintf("Consistent entry into device ++accLock= %d\n",AccCache.accLock);
+    dprintf("Consistent entry into device ++accLock= %d",AccCache.accLock);
   } else if(AccCache.state==AccDirty) {
     if((mode==AcceleratorWrite)||(mode==AcceleratorWriteDiscard))
       AccCache.state  = AccDirty; // AccDirty + AcceleratorWrite=> AccDirty
     else
       AccCache.state  = AccDirty; // AccDirty + AccRead => AccDirty
     AccCache.accLock++;
-    dprintf("AccDirty entry ++accLock= %d\n",AccCache.accLock);
+    dprintf("AccDirty entry ++accLock= %d",AccCache.accLock);
   } else {
     assert(0);
   }
@@ -341,7 +345,7 @@ uint64_t MemoryManager::AcceleratorViewOpen(uint64_t CpuPtr,size_t bytes,ViewMod
   // If view is opened on device must remove from LRU
   if(AccCache.LRU_valid==1){
     // must possibly remove from LRU as now locked on GPU
-    dprintf("AccCache entry removed from LRU \n");
+    dprintf("AccCache entry removed from LRU ");
     LRUremove(AccCache);
   }
 
@@ -364,10 +368,10 @@ void MemoryManager::AcceleratorViewClose(uint64_t CpuPtr)
   AccCache.accLock--;
   // Move to LRU queue if not locked and close on device
   if(AccCache.accLock==0) {
-    dprintf("AccleratorViewClose %lx AccLock decremented to %ld move to LRU queue\n",(uint64_t)CpuPtr,(uint64_t)AccCache.accLock);
+    dprintf("AccleratorViewClose %lx AccLock decremented to %ld move to LRU queue",(uint64_t)CpuPtr,(uint64_t)AccCache.accLock);
     LRUinsert(AccCache);
   } else {
-    dprintf("AccleratorViewClose %lx AccLock decremented to %ld\n",(uint64_t)CpuPtr,(uint64_t)AccCache.accLock);
+    dprintf("AccleratorViewClose %lx AccLock decremented to %ld",(uint64_t)CpuPtr,(uint64_t)AccCache.accLock);
   }
 }
 void MemoryManager::CpuViewClose(uint64_t CpuPtr)

Grid/allocator/MemoryStats.cc

@@ -15,10 +15,10 @@ void check_huge_pages(void *Buf,uint64_t BYTES)
   uint64_t virt_pfn = (uint64_t)Buf / page_size;
   off_t offset = sizeof(uint64_t) * virt_pfn;
   uint64_t npages = (BYTES + page_size-1) / page_size;
-  uint64_t pagedata[npages];
+  std::vector<uint64_t> pagedata(npages);
   uint64_t ret = lseek(fd, offset, SEEK_SET);
   assert(ret == offset);
-  ret = ::read(fd, pagedata, sizeof(uint64_t)*npages);
+  ret = ::read(fd, &pagedata[0], sizeof(uint64_t)*npages);
   assert(ret == sizeof(uint64_t) * npages);
   int nhugepages = npages / 512;
   int n4ktotal, nnothuge;

Grid/cartesian/Cartesian.h

@@ -31,5 +31,6 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
 #include <Grid/cartesian/Cartesian_base.h>
 #include <Grid/cartesian/Cartesian_full.h>
 #include <Grid/cartesian/Cartesian_red_black.h> 
+#include <Grid/cartesian/CartesianCrossIcosahedron.h>
 
 #endif

Grid/cartesian/CartesianCrossIcosahedron.h

@@ -0,0 +1,207 @@
+/*************************************************************************************
+
+    Grid physics library, www.github.com/paboyle/Grid 
+
+    Source file: ./lib/cartesian/CartesianCrossIcosahedron.h
+
+    Copyright (C) 2025
+
+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 */
+#pragma once
+
+NAMESPACE_BEGIN(Grid);
+    
+/////////////////////////////////////////////////////////////////////////////////////////
+// Grid Support.
+/////////////////////////////////////////////////////////////////////////////////////////
+
+enum IcosahedralMeshType {
+  IcosahedralVertices,
+  IcosahedralEdges
+} ;
+enum NorthSouth {
+  North = 1,
+  South = 0
+};
+
+const int IcosahedralPatches = 10;
+const int HemiPatches=IcosahedralPatches/2;
+const int NorthernHemisphere = HemiPatches;
+const int SouthernHemisphere = 0;
+
+class GridCartesianCrossIcosahedron: public GridCartesian {
+
+public:
+
+  IcosahedralMeshType meshType;
+
+  IcosahedralMeshType MeshType(void) { return meshType; };
+  
+  /////////////////////////////////////////////////////////////////////////
+  // Constructor takes a parent grid and possibly subdivides communicator.
+  /////////////////////////////////////////////////////////////////////////
+  /*
+  GridCartesian(const Coordinate &dimensions,
+		const Coordinate &simd_layout,
+		const Coordinate &processor_grid,
+		const GridCartesian &parent) : GridBase(processor_grid,parent,dummy)
+  {
+    assert(0); // No subdivision
+  }
+  GridCartesian(const Coordinate &dimensions,
+		const Coordinate &simd_layout,
+		const Coordinate &processor_grid,
+		const GridCartesian &parent,int &split_rank) : GridBase(processor_grid,parent,split_rank)
+  {
+    assert(0); // No subdivision
+  }
+  */
+  /////////////////////////////////////////////////////////////////////////
+  // Construct from comm world
+  /////////////////////////////////////////////////////////////////////////
+  GridCartesianCrossIcosahedron(const Coordinate &dimensions,
+				const Coordinate &simd_layout,
+				const Coordinate &processor_grid,
+				IcosahedralMeshType _meshType) : GridCartesian(dimensions,simd_layout,processor_grid)
+  {
+    meshType = _meshType;
+    Coordinate S2dimensions=dimensions;
+    Coordinate S2simd      =simd_layout;
+    Coordinate S2procs     =processor_grid;
+
+    assert(simd_layout[0]==1); // Force simd into perpendicular dimensions
+    assert(simd_layout[1]==1); // to avoid pole storage complexity interacting with SIMD.
+    assert(dimensions[_ndimension-1]==IcosahedralPatches);
+    assert(processor_grid[_ndimension-1]<=2); // Keeps the patches that need a pole on the same node
+
+    // Save a copy of the basic cartesian initialisation volume
+    cartesianOsites = this->_osites;
+
+    // allocate the pole storage if we are seeking vertex domain data
+    if ( meshType == IcosahedralVertices ) {
+      InitPoles();
+    }
+  }
+
+  virtual ~GridCartesianCrossIcosahedron() = default;
+
+  ////////////////////////////////////////////////
+  // Use to decide if a given grid is icosahedral
+  ////////////////////////////////////////////////
+  int hasNorthPole;
+  int hasSouthPole;
+  int northPoleOsite;
+  int southPoleOsite;
+  int northPoleOsites;
+  int southPoleOsites;
+  int cartesianOsites;
+
+  virtual int isIcosahedral(void)           override { return 1;}
+  virtual int isIcosahedralVertex(void)     override { return meshType==IcosahedralVertices;}
+  virtual int isIcosahedralEdge  (void)     override { return meshType==IcosahedralEdges;}
+  virtual int NorthPoleOsite(void)  const override { return northPoleOsite; };
+  virtual int NorthPoleOsites(void) const override { return northPoleOsites; };
+  virtual int SouthPoleOsite(void)  const override { return southPoleOsite; };
+  virtual int SouthPoleOsites(void) const override { return southPoleOsites; };
+  virtual int ownsNorthPole(void)   const override { return hasNorthPole; };
+  virtual int ownsSouthPole(void)   const override { return hasSouthPole; };
+  virtual int CartesianOsites(void) const override { return cartesianOsites; };
+
+  void InitPoles(void)
+  {
+    int Ndm1 = _ndimension-1;
+    ///////////////////////
+    // Add the extra pole storage
+    ///////////////////////
+    // Vertices = 1x LxLx D1...Dn + 2.D1...Dn
+    // Start after the LxL and don't include the 10 patch dim
+    int OrthogSize = 1;
+    for (int d = 2; d < Ndm1; d++) {
+      OrthogSize *= _gdimensions[d];
+    }
+    _fsites += OrthogSize*2;
+    _gsites += OrthogSize*2;
+
+    // Simd reduced sizes are multiplied up.
+    // If the leading LxL are simd-ized, the vector objects will contain "redundant" lanes
+    // which should contain identical north (south) pole data
+    OrthogSize = 1;
+    for (int d = 2; d < Ndm1; d++) {
+      OrthogSize *= _rdimensions[d];
+    }
+
+    // Grow the local volume to hold pole data
+    // on rank (0,0) in the LxL planes
+    // since SIMD must be placed in the orthogonal directions
+    Coordinate pcoor = this->ThisProcessorCoor();
+    Coordinate pgrid = this->ProcessorGrid();
+
+    const int xdim=0;
+    const int ydim=1;
+    /*
+     *
+     *  /\/\/\/\/\
+     * /\/\/\/\/\/
+     * \/\/\/\/\/
+     *
+     *  y
+     * /
+     * \x
+     *
+     * Labelling patches as 5 6 7 8 9
+     *                      0 1 2 3 4
+     *
+     * Will ban distribution of the patch dimension by more than 2.
+     *
+     * Hence all 5 patches associated with the pole must have the
+     * appropriate "corner" of the patch L^2 located on the SAME rank.
+     */ 
+    
+    if( (pcoor[xdim]==pgrid[xdim]-1) && (pcoor[ydim]==0) && (pcoor[Ndm1]==0) ){
+      hasSouthPole   =1;
+      southPoleOsite=this->_osites;
+      southPoleOsites=OrthogSize;
+      this->_osites += OrthogSize;
+    } else {
+      hasSouthPole   =0;
+      southPoleOsites=0;
+      southPoleOsite=0;
+    }
+    if( (pcoor[xdim]==0) && (pcoor[ydim]==pgrid[ydim]-1) && (pcoor[Ndm1]==pgrid[Ndm1]-1) ){
+      hasNorthPole   =1;
+      northPoleOsite=this->_osites;
+      northPoleOsites=OrthogSize;
+      this->_osites += OrthogSize;
+    } else {
+      hasNorthPole   =0;
+      northPoleOsites=0;
+      northPoleOsite=0;
+    }
+    std::cout << "Icosahedral vertex field volume " << this->_osites<<std::endl;
+    std::cout << "Icosahedral south pole offset   " << this->southPoleOsite<<std::endl;
+    std::cout << "Icosahedral north pole offset   " << this->northPoleOsite<<std::endl;
+    std::cout << "Icosahedral south pole size     " << this->southPoleOsites<<std::endl;
+    std::cout << "Icosahedral north pole size     " << this->northPoleOsites<<std::endl;
+  };
+
+};
+
+NAMESPACE_END(Grid);

Grid/cartesian/Cartesian_base.h

@@ -82,13 +82,27 @@ public:
   bool _isCheckerBoarded; 
   int        LocallyPeriodic;
   Coordinate _checker_dim_mask;
+  int              _checker_dim;
 
 public:
 
+  // Icosahedral decisions
+  virtual int isIcosahedral(void) { return 0;}
+  virtual int isIcosahedralVertex(void) { return 0;}
+  virtual int isIcosahedralEdge  (void) { return 0;}
+  virtual int ownsNorthPole(void) const { return 0; };
+  virtual int ownsSouthPole(void) const { return 0; };
+  virtual int NorthPoleOsite(void) const { return 0; };
+  virtual int SouthPoleOsite(void) const { return 0; };
+  virtual int NorthPoleOsites(void) const { std::cout << "base osites" <<std::endl;return 0; };
+  virtual int SouthPoleOsites(void) const { std::cout << "base osites" <<std::endl;return 0; };
+  virtual int CartesianOsites(void) const { return this->oSites(); };
+
   ////////////////////////////////////////////////////////////////
   // Checkerboarding interface is virtual and overridden by 
   // GridCartesian / GridRedBlackCartesian
   ////////////////////////////////////////////////////////////////
+
   virtual int CheckerBoarded(int dim) =0;
   virtual int CheckerBoard(const Coordinate &site)=0;
   virtual int CheckerBoardDestination(int source_cb,int shift,int dim)=0;
@@ -175,6 +189,8 @@ public:
     }
     return permute_type;
   }
+
+  
   ////////////////////////////////////////////////////////////////
   // Array sizing queries
   ////////////////////////////////////////////////////////////////

Grid/cartesian/Cartesian_full.h

@@ -38,7 +38,7 @@ class GridCartesian: public GridBase {
 
 public:
   int dummy;
-  Coordinate _checker_dim_mask;
+  //  Coordinate _checker_dim_mask;
   virtual int  CheckerBoardFromOindexTable (int Oindex) {
     return 0;
   }
@@ -106,6 +106,7 @@ public:
     _rdimensions.resize(_ndimension);
     _simd_layout.resize(_ndimension);
     _checker_dim_mask.resize(_ndimension);;
+    _checker_dim = -1;
     _lstart.resize(_ndimension);
     _lend.resize(_ndimension);
 

Grid/cartesian/Cartesian_red_black.h

@@ -57,9 +57,10 @@ class GridRedBlackCartesian : public GridBase
 {
 public:
   //  Coordinate _checker_dim_mask;
-  int              _checker_dim;
+  //  int              _checker_dim;
   std::vector<int> _checker_board;
 
+  virtual int isCheckerBoarded(void) const { return 1; };
   virtual int CheckerBoarded(int dim){
     if( dim==_checker_dim) return 1;
     else return 0;

Grid/communicator/Communicator_base.cc

@@ -57,18 +57,29 @@ int                      CartesianCommunicator::ProcessorCount(void)    { return
 // very VERY rarely (Log, serial RNG) we need world without a grid
 ////////////////////////////////////////////////////////////////////////////////
 
+#ifdef USE_GRID_REDUCTION
+void CartesianCommunicator::GlobalSum(ComplexF &c)
+{
+  GlobalSumP2P(c);
+}
+void CartesianCommunicator::GlobalSum(ComplexD &c)
+{
+  GlobalSumP2P(c);
+}
+#else
 void CartesianCommunicator::GlobalSum(ComplexF &c)
 {
   GlobalSumVector((float *)&c,2);
 }
-void CartesianCommunicator::GlobalSumVector(ComplexF *c,int N)
-{
-  GlobalSumVector((float *)c,2*N);
-}
 void CartesianCommunicator::GlobalSum(ComplexD &c)
 {
   GlobalSumVector((double *)&c,2);
 }
+#endif
+void CartesianCommunicator::GlobalSumVector(ComplexF *c,int N)
+{
+  GlobalSumVector((float *)c,2*N);
+}
 void CartesianCommunicator::GlobalSumVector(ComplexD *c,int N)
 {
   GlobalSumVector((double *)c,2*N);

Grid/communicator/Communicator_base.h

@@ -33,6 +33,8 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
 ///////////////////////////////////
 #include <Grid/communicator/SharedMemory.h>
 
+#define NVLINK_GET
+
 NAMESPACE_BEGIN(Grid);
 
 extern bool Stencil_force_mpi ;
@@ -128,6 +130,35 @@ public:
   void GlobalXOR(uint32_t &);
   void GlobalXOR(uint64_t &);
 
+  template<class obj> void GlobalSumP2P(obj &o)
+  {
+    std::vector<obj> column;
+    obj accum = o;
+    int source,dest;
+    for(int d=0;d<_ndimension;d++){
+      column.resize(_processors[d]);
+      column[0] = accum;
+      std::vector<MpiCommsRequest_t> list;
+      for(int p=1;p<_processors[d];p++){
+	ShiftedRanks(d,p,source,dest);
+	SendToRecvFromBegin(list,
+			    &column[0],
+			    dest,
+			    &column[p],
+			    source,
+			    sizeof(obj),d*100+p);
+
+      }
+      if (!list.empty()) // avoid triggering assert in comms == none
+	CommsComplete(list);
+      for(int p=1;p<_processors[d];p++){
+	accum = accum + column[p];
+      }
+    }
+    Broadcast(0,accum);
+    o=accum;
+  }
+
   template<class obj> void GlobalSum(obj &o){
     typedef typename obj::scalar_type scalar_type;
     int words = sizeof(obj)/sizeof(scalar_type);
@@ -138,8 +169,8 @@ public:
   ////////////////////////////////////////////////////////////
   // Face exchange, buffer swap in translational invariant way
   ////////////////////////////////////////////////////////////
-  void CommsComplete(std::vector<CommsRequest_t> &list);
+  void CommsComplete(std::vector<MpiCommsRequest_t> &list);
-  void SendToRecvFromBegin(std::vector<CommsRequest_t> &list,
+  void SendToRecvFromBegin(std::vector<MpiCommsRequest_t> &list,
 			   void *xmit,
 			   int dest,
 			   void *recv,
@@ -158,6 +189,17 @@ public:
 			       int recv_from_rank,int do_recv,
 			       int bytes,int dir);
 
+  double StencilSendToRecvFromPrepare(std::vector<CommsRequest_t> &list,
+				      void *xmit,
+				      int xmit_to_rank,int do_xmit,
+				      void *recv,
+				      int recv_from_rank,int do_recv,
+				      int xbytes,int rbytes,int dir);
+
+  // Could do a PollHtoD and have a CommsMerge dependence
+  void StencilSendToRecvFromPollDtoH (std::vector<CommsRequest_t> &list);
+  void StencilSendToRecvFromPollIRecv(std::vector<CommsRequest_t> &list);
+
   double StencilSendToRecvFromBegin(std::vector<CommsRequest_t> &list,
 				    void *xmit,
 				    int xmit_to_rank,int do_xmit,

Grid/communicator/Communicator_mpi3.cc

@@ -30,6 +30,7 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
 
 NAMESPACE_BEGIN(Grid);
 
+
 Grid_MPI_Comm       CartesianCommunicator::communicator_world;
 
 ////////////////////////////////////////////
@@ -257,15 +258,41 @@ CartesianCommunicator::~CartesianCommunicator()
     }
   }
 }
+#ifdef USE_GRID_REDUCTION
+void CartesianCommunicator::GlobalSum(float &f){
+  FlightRecorder::StepLog("GlobalSumP2P");
+  CartesianCommunicator::GlobalSumP2P(f);
+}
+void CartesianCommunicator::GlobalSum(double &d)
+{
+  FlightRecorder::StepLog("GlobalSumP2P");
+  CartesianCommunicator::GlobalSumP2P(d);
+}
+#else
+void CartesianCommunicator::GlobalSum(float &f){
+  FlightRecorder::StepLog("AllReduce");
+  int ierr=MPI_Allreduce(MPI_IN_PLACE,&f,1,MPI_FLOAT,MPI_SUM,communicator);
+  assert(ierr==0);
+}
+void CartesianCommunicator::GlobalSum(double &d)
+{
+  FlightRecorder::StepLog("AllReduce");
+  int ierr = MPI_Allreduce(MPI_IN_PLACE,&d,1,MPI_DOUBLE,MPI_SUM,communicator);
+  assert(ierr==0);
+}
+#endif
 void CartesianCommunicator::GlobalSum(uint32_t &u){
+  FlightRecorder::StepLog("AllReduce");
   int ierr=MPI_Allreduce(MPI_IN_PLACE,&u,1,MPI_UINT32_T,MPI_SUM,communicator);
   assert(ierr==0);
 }
 void CartesianCommunicator::GlobalSum(uint64_t &u){
+  FlightRecorder::StepLog("AllReduce");
   int ierr=MPI_Allreduce(MPI_IN_PLACE,&u,1,MPI_UINT64_T,MPI_SUM,communicator);
   assert(ierr==0);
 }
 void CartesianCommunicator::GlobalSumVector(uint64_t* u,int N){
+  FlightRecorder::StepLog("AllReduceVector");
   int ierr=MPI_Allreduce(MPI_IN_PLACE,u,N,MPI_UINT64_T,MPI_SUM,communicator);
   assert(ierr==0);
 }
@@ -287,27 +314,18 @@ void CartesianCommunicator::GlobalMax(double &d)
   int ierr = MPI_Allreduce(MPI_IN_PLACE,&d,1,MPI_DOUBLE,MPI_MAX,communicator);
   assert(ierr==0);
 }
-void CartesianCommunicator::GlobalSum(float &f){
-  int ierr=MPI_Allreduce(MPI_IN_PLACE,&f,1,MPI_FLOAT,MPI_SUM,communicator);
-  assert(ierr==0);
-}
 void CartesianCommunicator::GlobalSumVector(float *f,int N)
 {
   int ierr=MPI_Allreduce(MPI_IN_PLACE,f,N,MPI_FLOAT,MPI_SUM,communicator);
   assert(ierr==0);
 }
-void CartesianCommunicator::GlobalSum(double &d)
-{
-  int ierr = MPI_Allreduce(MPI_IN_PLACE,&d,1,MPI_DOUBLE,MPI_SUM,communicator);
-  assert(ierr==0);
-}
 void CartesianCommunicator::GlobalSumVector(double *d,int N)
 {
   int ierr = MPI_Allreduce(MPI_IN_PLACE,d,N,MPI_DOUBLE,MPI_SUM,communicator);
   assert(ierr==0);
 }
 
-void CartesianCommunicator::SendToRecvFromBegin(std::vector<CommsRequest_t> &list,
+void CartesianCommunicator::SendToRecvFromBegin(std::vector<MpiCommsRequest_t> &list,
 						void *xmit,
 						int dest,
 						void *recv,
@@ -332,7 +350,7 @@ void CartesianCommunicator::SendToRecvFromBegin(std::vector<CommsRequest_t> &lis
   assert(ierr==0);
   list.push_back(xrq);
 }
-void CartesianCommunicator::CommsComplete(std::vector<CommsRequest_t> &list)
+void CartesianCommunicator::CommsComplete(std::vector<MpiCommsRequest_t> &list)
 {
   int nreq=list.size();
 
@@ -351,9 +369,7 @@ void CartesianCommunicator::SendToRecvFrom(void *xmit,
 					   int from,
 					   int bytes)
 {
-  std::vector<CommsRequest_t> reqs(0);
+  std::vector<MpiCommsRequest_t> reqs(0);
-  unsigned long  xcrc = crc32(0L, Z_NULL, 0);
-  unsigned long  rcrc = crc32(0L, Z_NULL, 0);
 
   int myrank = _processor;
   int ierr;
@@ -369,9 +385,6 @@ void CartesianCommunicator::SendToRecvFrom(void *xmit,
 		    communicator,MPI_STATUS_IGNORE);
   assert(ierr==0);
 
-  //  xcrc = crc32(xcrc,(unsigned char *)xmit,bytes);
-  //  rcrc = crc32(rcrc,(unsigned char *)recv,bytes);
-  //  printf("proc %d SendToRecvFrom %d bytes xcrc %lx rcrc %lx\n",_processor,bytes,xcrc,rcrc); fflush
 }
 // Basic Halo comms primitive
 double CartesianCommunicator::StencilSendToRecvFrom( void *xmit,
@@ -381,12 +394,25 @@ double CartesianCommunicator::StencilSendToRecvFrom( void *xmit,
 						     int bytes,int dir)
 {
   std::vector<CommsRequest_t> list;
-  double offbytes = StencilSendToRecvFromBegin(list,xmit,dest,dox,recv,from,dor,bytes,bytes,dir);
+  double offbytes = StencilSendToRecvFromPrepare(list,xmit,dest,dox,recv,from,dor,bytes,bytes,dir);
+  offbytes       += StencilSendToRecvFromBegin(list,xmit,dest,dox,recv,from,dor,bytes,bytes,dir);
   StencilSendToRecvFromComplete(list,dir);
   return offbytes;
 }
 
-#undef NVLINK_GET // Define to use get instead of put DMA
+
+#ifdef ACCELERATOR_AWARE_MPI
+void CartesianCommunicator::StencilSendToRecvFromPollIRecv(std::vector<CommsRequest_t> &list) {};
+void CartesianCommunicator::StencilSendToRecvFromPollDtoH(std::vector<CommsRequest_t> &list) {};
+double CartesianCommunicator::StencilSendToRecvFromPrepare(std::vector<CommsRequest_t> &list,
+							   void *xmit,
+							   int dest,int dox,
+							   void *recv,
+							   int from,int dor,
+							   int xbytes,int rbytes,int dir)
+{
+  return 0.0; // Do nothing -- no preparation required
+}
 double CartesianCommunicator::StencilSendToRecvFromBegin(std::vector<CommsRequest_t> &list,
 							 void *xmit,
 							 int dest,int dox,
@@ -420,14 +446,15 @@ double CartesianCommunicator::StencilSendToRecvFromBegin(std::vector<CommsReques
       off_node_bytes+=rbytes;
     }
 #ifdef NVLINK_GET
+    else { 
       void *shm = (void *) this->ShmBufferTranslate(from,xmit);
       assert(shm!=NULL);
       acceleratorCopyDeviceToDeviceAsynch(shm,recv,rbytes);
+    }
 #endif
   }
-  
+  // This is a NVLINK PUT  
   if (dox) {
-    //  rcrc = crc32(rcrc,(unsigned char *)recv,bytes);
     if ( (gdest == MPI_UNDEFINED) || Stencil_force_mpi ) {
       tag= dir+_processor*32;
       ierr =MPI_Isend(xmit, xbytes, MPI_CHAR,dest,tag,communicator_halo[commdir],&xrq);
@@ -440,27 +467,341 @@ double CartesianCommunicator::StencilSendToRecvFromBegin(std::vector<CommsReques
       assert(shm!=NULL);
       acceleratorCopyDeviceToDeviceAsynch(xmit,shm,xbytes);
 #endif
+    }
+  }
+  return off_node_bytes;
+}
 
+void CartesianCommunicator::StencilSendToRecvFromComplete(std::vector<CommsRequest_t> &list,int dir)
+{
+  int nreq=list.size();
+  /*finishes Get/Put*/
+  acceleratorCopySynchronise();
+
+  if (nreq==0) return;
+  std::vector<MPI_Status> status(nreq);
+  int ierr = MPI_Waitall(nreq,&list[0],&status[0]);
+  assert(ierr==0);
+  list.resize(0);
+  this->StencilBarrier(); 
+}
+
+#else /* NOT     ... ACCELERATOR_AWARE_MPI */
+///////////////////////////////////////////
+// Pipeline mode through host memory
+///////////////////////////////////////////
+  /*
+   * In prepare (phase 1):
+   * PHASE 1: (prepare)
+   * - post MPI receive buffers asynch
+   * - post device - host send buffer transfer asynch
+   * PHASE 2: (Begin)
+   * - complete all copies
+   * - post MPI send asynch
+   * - post device - device transfers
+   * PHASE 3: (Complete)
+   * - MPI_waitall
+   * - host-device transfers
+   *
+   *********************************
+   * NB could split this further:
+   *--------------------------------
+   * PHASE 1: (Prepare)
+   * - post MPI receive buffers asynch
+   * - post device - host send buffer transfer asynch
+   * PHASE 2: (BeginInterNode)
+   * - complete all copies 
+   * - post MPI send asynch
+   * PHASE 3: (BeginIntraNode)
+   * - post device - device transfers
+   * PHASE 4: (Complete)
+   * - MPI_waitall
+   * - host-device transfers asynch
+   * - (complete all copies) 
+   */
+double CartesianCommunicator::StencilSendToRecvFromPrepare(std::vector<CommsRequest_t> &list,
+							   void *xmit,
+							   int dest,int dox,
+							   void *recv,
+							   int from,int dor,
+							   int xbytes,int rbytes,int dir)
+{
+/*
+ * Bring sequence from Stencil.h down to lower level.
+ * Assume using XeLink is ok
+ */  
+  int ncomm  =communicator_halo.size();
+  int commdir=dir%ncomm;
+
+  MPI_Request xrq;
+  MPI_Request rrq;
+
+  int ierr;
+  int gdest = ShmRanks[dest];
+  int gfrom = ShmRanks[from];
+  int gme   = ShmRanks[_processor];
+
+  assert(dest != _processor);
+  assert(from != _processor);
+  assert(gme  == ShmRank);
+  double off_node_bytes=0.0;
+  int tag;
+
+  void * host_recv = NULL;
+  void * host_xmit = NULL;
+
+  /*
+   * PHASE 1: (Prepare)
+   * - post MPI receive buffers asynch
+   * - post device - host send buffer transfer asynch
+   */
+  
+  if ( dor ) {
+    if ( (gfrom ==MPI_UNDEFINED) || Stencil_force_mpi ) {
+      tag= dir+from*32;
+      host_recv = this->HostBufferMalloc(rbytes);
+      ierr=MPI_Irecv(host_recv, rbytes, MPI_CHAR,from,tag,communicator_halo[commdir],&rrq);
+      assert(ierr==0);
+      CommsRequest_t srq;
+      srq.PacketType = InterNodeRecv;
+      srq.bytes      = rbytes;
+      srq.req        = rrq;
+      srq.host_buf   = host_recv;
+      srq.device_buf = recv;
+      list.push_back(srq);
+      off_node_bytes+=rbytes;
+    }
+  }
+  
+  if (dox) {
+    if ( (gdest == MPI_UNDEFINED) || Stencil_force_mpi ) {
+
+      tag= dir+_processor*32;
+
+      host_xmit = this->HostBufferMalloc(xbytes);
+      CommsRequest_t srq;
+
+      srq.ev = acceleratorCopyFromDeviceAsynch(xmit, host_xmit,xbytes); // Make this Asynch
+      
+      //      ierr =MPI_Isend(host_xmit, xbytes, MPI_CHAR,dest,tag,communicator_halo[commdir],&xrq);
+      //      assert(ierr==0);
+      //      off_node_bytes+=xbytes;
+
+      srq.PacketType = InterNodeXmit;
+      srq.bytes      = xbytes;
+      //      srq.req        = xrq;
+      srq.host_buf   = host_xmit;
+      srq.device_buf = xmit;
+      srq.tag        = tag;
+      srq.dest       = dest;
+      srq.commdir    = commdir;
+      list.push_back(srq);
     }
   }
 
   return off_node_bytes;
 }
+/*
+ * In the interest of better pipelining, poll for completion on each DtoH and 
+ * start MPI_ISend in the meantime
+ */
+void CartesianCommunicator::StencilSendToRecvFromPollIRecv(std::vector<CommsRequest_t> &list)
+{
+  int pending = 0;
+  do {
+
+    pending = 0;
+
+    for(int idx = 0; idx<list.size();idx++){
+
+      if ( list[idx].PacketType==InterNodeRecv ) {
+
+	int flag = 0;
+	MPI_Status status;
+	int ierr = MPI_Test(&list[idx].req,&flag,&status);
+	assert(ierr==0);
+
+	if ( flag ) {
+	  //	  std::cout << " PollIrecv "<<idx<<" flag "<<flag<<std::endl;
+	  acceleratorCopyToDeviceAsynch(list[idx].host_buf,list[idx].device_buf,list[idx].bytes);
+	  list[idx].PacketType=InterNodeReceiveHtoD;
+	} else {
+	  pending ++;
+	}
+      }
+    }
+    //    std::cout << " PollIrecv "<<pending<<" pending requests"<<std::endl;
+  } while ( pending );
+  
+}
+void CartesianCommunicator::StencilSendToRecvFromPollDtoH(std::vector<CommsRequest_t> &list)
+{
+  int pending = 0;
+  do {
+
+    pending = 0;
+
+    for(int idx = 0; idx<list.size();idx++){
+
+      if ( list[idx].PacketType==InterNodeXmit ) {
+
+	if ( acceleratorEventIsComplete(list[idx].ev) ) {
+
+	  void *host_xmit = list[idx].host_buf;
+	  uint32_t xbytes = list[idx].bytes;
+	  int dest        = list[idx].dest;
+	  int tag         = list[idx].tag;
+	  int commdir     = list[idx].commdir;
+	  ///////////////////
+	  // Send packet
+	  ///////////////////
+
+	  //	  std::cout << " DtoH is complete for index "<<idx<<" calling MPI_Isend "<<std::endl;
+	  
+	  MPI_Request xrq;
+	  int ierr =MPI_Isend(host_xmit, xbytes, MPI_CHAR,dest,tag,communicator_halo[commdir],&xrq);
+	  assert(ierr==0);
+
+	  list[idx].req        = xrq; // Update the MPI request in the list
+
+	  list[idx].PacketType=InterNodeXmitISend;
+
+	} else {
+	  // not done, so return to polling loop
+	  pending++;
+	}
+      }
+    }
+  } while (pending);
+}  
+
+double CartesianCommunicator::StencilSendToRecvFromBegin(std::vector<CommsRequest_t> &list,
+							 void *xmit,
+							 int dest,int dox,
+							 void *recv,
+							 int from,int dor,
+							 int xbytes,int rbytes,int dir)
+{
+  int ncomm  =communicator_halo.size();
+  int commdir=dir%ncomm;
+
+  MPI_Request xrq;
+  MPI_Request rrq;
+
+  int ierr;
+  int gdest = ShmRanks[dest];
+  int gfrom = ShmRanks[from];
+  int gme   = ShmRanks[_processor];
+
+  assert(dest != _processor);
+  assert(from != _processor);
+  assert(gme  == ShmRank);
+  double off_node_bytes=0.0;
+  int tag;
+
+  void * host_xmit = NULL;
+
+  ////////////////////////////////
+  // Receives already posted
+  // Copies already started
+  ////////////////////////////////
+  /*  
+   * PHASE 2: (Begin)
+   * - complete all copies
+   * - post MPI send asynch
+   */
+#ifdef NVLINK_GET
+  if ( dor ) {
+
+    if ( ! ( (gfrom ==MPI_UNDEFINED) || Stencil_force_mpi ) ) {
+      // Intranode
+      void *shm = (void *) this->ShmBufferTranslate(from,xmit);
+      assert(shm!=NULL);
+
+      CommsRequest_t srq;
+
+      srq.ev = acceleratorCopyDeviceToDeviceAsynch(shm,recv,rbytes);
+
+      srq.PacketType = IntraNodeRecv;
+      srq.bytes      = xbytes;
+      //      srq.req        = xrq;
+      srq.host_buf   = NULL;
+      srq.device_buf = xmit;
+      srq.tag        = -1;
+      srq.dest       = dest;
+      srq.commdir    = dir;
+      list.push_back(srq);
+    }
+  }  
+#else
+  if (dox) {
+
+    if ( !( (gdest == MPI_UNDEFINED) || Stencil_force_mpi ) ) {
+      // Intranode
+      void *shm = (void *) this->ShmBufferTranslate(dest,recv);
+      assert(shm!=NULL);
+
+      CommsRequest_t srq;
+      
+      srq.ev = acceleratorCopyDeviceToDeviceAsynch(xmit,shm,xbytes);
+
+      srq.PacketType = IntraNodeXmit;
+      srq.bytes      = xbytes;
+      //      srq.req        = xrq;
+      srq.host_buf   = NULL;
+      srq.device_buf = xmit;
+      srq.tag        = -1;
+      srq.dest       = dest;
+      srq.commdir    = dir;
+      list.push_back(srq);
+      
+    }
+  }
+#endif
+  return off_node_bytes;
+}
 void CartesianCommunicator::StencilSendToRecvFromComplete(std::vector<CommsRequest_t> &list,int dir)
 {
-  int nreq=list.size();
+  acceleratorCopySynchronise(); // Complete all pending copy transfers D2D
 
-  acceleratorCopySynchronise();
+  std::vector<MPI_Status> status;
+  std::vector<MPI_Request> MpiRequests;
     
-  if (nreq==0) return;
+  for(int r=0;r<list.size();r++){
-
+    // Must check each Send buf is clear to reuse
-  std::vector<MPI_Status> status(nreq);
+    if ( list[r].PacketType == InterNodeXmitISend ) MpiRequests.push_back(list[r].req);
-  int ierr = MPI_Waitall(nreq,&list[0],&status[0]);
+    //    if ( list[r].PacketType == InterNodeRecv ) MpiRequests.push_back(list[r].req); // Already "Test" passed
-  assert(ierr==0);
-  list.resize(0);
   }
+
+  int nreq=MpiRequests.size();
+
+  if (nreq>0) {
+    status.resize(MpiRequests.size());
+    int ierr = MPI_Waitall(MpiRequests.size(),&MpiRequests[0],&status[0]); // Sends are guaranteed in order. No harm in not completing.
+    assert(ierr==0);
+  }
+  
+  //  for(int r=0;r<nreq;r++){
+  //    if ( list[r].PacketType==InterNodeRecv ) {
+  //      acceleratorCopyToDeviceAsynch(list[r].host_buf,list[r].device_buf,list[r].bytes);
+  //    }
+  //  }
+  
+  
+  list.resize(0);               // Delete the list
+  this->HostBufferFreeAll();    // Clean up the buffer allocs
+#ifndef NVLINK_GET
+  this->StencilBarrier(); // if PUT must check our nbrs have filled our receive buffers.
+#endif   
+}
+#endif
+////////////////////////////////////////////
+// END PIPELINE MODE / NO CUDA AWARE MPI
+////////////////////////////////////////////
+
 void CartesianCommunicator::StencilBarrier(void)
 {
+  FlightRecorder::StepLog("NodeBarrier");
   MPI_Barrier  (ShmComm);
 }
 //void CartesianCommunicator::SendToRecvFromComplete(std::vector<CommsRequest_t> &list)
@@ -468,11 +809,13 @@ void CartesianCommunicator::StencilBarrier(void)
 //}
 void CartesianCommunicator::Barrier(void)
 {
+  FlightRecorder::StepLog("GridBarrier");
   int ierr = MPI_Barrier(communicator);
   assert(ierr==0);
 }
 void CartesianCommunicator::Broadcast(int root,void* data, int bytes)
 {
+  FlightRecorder::StepLog("Broadcast");
   int ierr=MPI_Bcast(data,
 		     bytes,
 		     MPI_BYTE,
@@ -491,6 +834,7 @@ void CartesianCommunicator::BarrierWorld(void){
 }
 void CartesianCommunicator::BroadcastWorld(int root,void* data, int bytes)
 {
+  FlightRecorder::StepLog("BroadcastWorld");
   int ierr= MPI_Bcast(data,
 		      bytes,
 		      MPI_BYTE,
@@ -513,6 +857,7 @@ void CartesianCommunicator::AllToAll(int dim,void  *in,void *out,uint64_t words,
 }
 void CartesianCommunicator::AllToAll(void  *in,void *out,uint64_t words,uint64_t bytes)
 {
+  FlightRecorder::StepLog("AllToAll");
   // MPI is a pain and uses "int" arguments
   // 64*64*64*128*16 == 500Million elements of data.
   // When 24*4 bytes multiples get 50x 10^9 >>> 2x10^9 Y2K bug.

Grid/communicator/Communicator_none.cc

@@ -91,7 +91,7 @@ void CartesianCommunicator::SendToRecvFrom(void *xmit,
 {
   assert(0);
 }
-void CartesianCommunicator::CommsComplete(std::vector<CommsRequest_t> &list){ assert(0);}
+void CartesianCommunicator::CommsComplete(std::vector<CommsRequest_t> &list){ assert(list.size()==0);}
 void CartesianCommunicator::SendToRecvFromBegin(std::vector<CommsRequest_t> &list,
 						void *xmit,
 						int dest,
@@ -132,6 +132,17 @@ double CartesianCommunicator::StencilSendToRecvFrom( void *xmit,
 {
   return 2.0*bytes;
 }
+void CartesianCommunicator::StencilSendToRecvFromPollIRecv(std::vector<CommsRequest_t> &list) {};
+void CartesianCommunicator::StencilSendToRecvFromPollDtoH(std::vector<CommsRequest_t> &list) {};
+double CartesianCommunicator::StencilSendToRecvFromPrepare(std::vector<CommsRequest_t> &list,
+							   void *xmit,
+							   int xmit_to_rank,int dox,
+							   void *recv,
+							   int recv_from_rank,int dor,
+							   int xbytes,int rbytes, int dir)
+{
+  return 0.0;
+}
 double CartesianCommunicator::StencilSendToRecvFromBegin(std::vector<CommsRequest_t> &list,
 							 void *xmit,
 							 int xmit_to_rank,int dox,

Grid/communicator/SharedMemory.h

@@ -46,8 +46,40 @@ NAMESPACE_BEGIN(Grid);
 
 #if defined (GRID_COMMS_MPI3) 
 typedef MPI_Comm    Grid_MPI_Comm;
+typedef MPI_Request MpiCommsRequest_t;
+#ifdef ACCELERATOR_AWARE_MPI
 typedef MPI_Request CommsRequest_t;
 #else
+/*
+ * Enable state transitions as each packet flows.
+ */
+enum PacketType_t {
+  FaceGather,
+  InterNodeXmit,
+  InterNodeRecv,
+  IntraNodeXmit,
+  IntraNodeRecv,
+  InterNodeXmitISend,
+  InterNodeReceiveHtoD
+};
+/*
+ *Package arguments needed for various actions along packet flow
+ */
+typedef struct {
+  PacketType_t PacketType;
+  void *host_buf;
+  void *device_buf;
+  int dest;
+  int tag;
+  int commdir;
+  unsigned long bytes;
+  acceleratorEvent_t ev;
+  MpiCommsRequest_t req;
+} CommsRequest_t;
+#endif
+
+#else 
+typedef int MpiCommsRequest_t;
 typedef int CommsRequest_t;
 typedef int Grid_MPI_Comm;
 #endif
@@ -105,7 +137,7 @@ public:
   ///////////////////////////////////////////////////
   static void SharedMemoryAllocate(uint64_t bytes, int flags);
   static void SharedMemoryFree(void);
-  static void SharedMemoryCopy(void *dest,void *src,size_t bytes);
+  //  static void SharedMemoryCopy(void *dest,void *src,size_t bytes);
   static void SharedMemoryZero(void *dest,size_t bytes);
 
 };

Grid/communicator/SharedMemoryMPI.cc

@@ -42,6 +42,11 @@ Author: Christoph Lehner <christoph@lhnr.de>
 #ifdef ACCELERATOR_AWARE_MPI
 #define GRID_SYCL_LEVEL_ZERO_IPC
 #define SHM_SOCKETS
+#else
+#ifdef HAVE_NUMAIF_H
+  #warning " Using NUMAIF "
+#include <numaif.h>
+#endif 
 #endif 
 #include <syscall.h>
 #endif
@@ -537,7 +542,38 @@ void GlobalSharedMemory::SharedMemoryAllocate(uint64_t bytes, int flags)
   // Each MPI rank should allocate our own buffer
   ///////////////////////////////////////////////////////////////////////////////////////////////////////////
 #ifndef ACCELERATOR_AWARE_MPI
-  HostCommBuf= malloc(bytes);
+  // printf("Host buffer allocate for GPU non-aware MPI\n");
+#if 0
+  HostCommBuf= acceleratorAllocHost(bytes);
+#else 
+  HostCommBuf= malloc(bytes); /// CHANGE THIS TO malloc_host
+#if 0
+  #warning "Moving host buffers to specific NUMA domain"
+  int numa;
+  char *numa_name=(char *)getenv("MPI_BUF_NUMA");
+  if(numa_name) {
+    unsigned long page_size = sysconf(_SC_PAGESIZE);
+    numa = atoi(numa_name);
+    unsigned long page_count = bytes/page_size;
+    std::vector<void *> pages(page_count);
+    std::vector<int>    nodes(page_count,numa);
+    std::vector<int>    status(page_count,-1);
+    for(unsigned long p=0;p<page_count;p++){
+      pages[p] =(void *) ((uint64_t) HostCommBuf + p*page_size);
+    }
+    int ret = move_pages(0,
+			 page_count,
+			 &pages[0],
+			 &nodes[0],
+			 &status[0],
+			 MPOL_MF_MOVE);
+    printf("Host buffer move to numa domain %d : move_pages returned %d\n",numa,ret);
+    if (ret) perror(" move_pages failed for reason:");
+  }
+#endif  
+  acceleratorPin(HostCommBuf,bytes);
+#endif  
+
 #endif  
   ShmCommBuf = acceleratorAllocDevice(bytes);
   if (ShmCommBuf == (void *)NULL ) {
@@ -569,8 +605,8 @@ void GlobalSharedMemory::SharedMemoryAllocate(uint64_t bytes, int flags)
 #ifdef GRID_SYCL_LEVEL_ZERO_IPC
     typedef struct { int fd; pid_t pid ; ze_ipc_mem_handle_t ze; } clone_mem_t;
 
-    auto zeDevice    = cl::sycl::get_native<cl::sycl::backend::ext_oneapi_level_zero>(theGridAccelerator->get_device());
+    auto zeDevice    = sycl::get_native<sycl::backend::ext_oneapi_level_zero>(theGridAccelerator->get_device());
-    auto zeContext   = cl::sycl::get_native<cl::sycl::backend::ext_oneapi_level_zero>(theGridAccelerator->get_context());
+    auto zeContext   = sycl::get_native<sycl::backend::ext_oneapi_level_zero>(theGridAccelerator->get_context());
       
     ze_ipc_mem_handle_t ihandle;
     clone_mem_t handle;
@@ -880,14 +916,14 @@ void GlobalSharedMemory::SharedMemoryZero(void *dest,size_t bytes)
   bzero(dest,bytes);
 #endif
 }
-void GlobalSharedMemory::SharedMemoryCopy(void *dest,void *src,size_t bytes)
+//void GlobalSharedMemory::SharedMemoryCopy(void *dest,void *src,size_t bytes)
-{
+//{
-#if defined(GRID_CUDA) || defined(GRID_HIP) || defined(GRID_SYCL)
+//#if defined(GRID_CUDA) || defined(GRID_HIP) || defined(GRID_SYCL)
-  acceleratorCopyToDevice(src,dest,bytes);
+//  acceleratorCopyToDevice(src,dest,bytes);
-#else   
+//#else   
-  bcopy(src,dest,bytes);
+//  bcopy(src,dest,bytes);
-#endif
+//#endif
-}
+//}
 ////////////////////////////////////////////////////////
 // Global shared functionality finished
 // Now move to per communicator functionality
@@ -923,6 +959,7 @@ void SharedMemory::SetCommunicator(Grid_MPI_Comm comm)
     MPI_Allreduce(MPI_IN_PLACE,&wsr,1,MPI_UINT32_T,MPI_SUM,ShmComm);
 
     ShmCommBufs[r] = GlobalSharedMemory::WorldShmCommBufs[wsr];
+    //    std::cerr << " SetCommunicator rank "<<r<<" comm "<<ShmCommBufs[r] <<std::endl;
   }
   ShmBufferFreeAll();
 
@@ -975,19 +1012,18 @@ void SharedMemory::SharedMemoryTest(void)
        check[0]=GlobalSharedMemory::WorldNode;
        check[1]=r;
        check[2]=magic;
-       GlobalSharedMemory::SharedMemoryCopy( ShmCommBufs[r], check, 3*sizeof(uint64_t));
+       acceleratorCopyToDevice(check,ShmCommBufs[r],3*sizeof(uint64_t));
     }
   }
   ShmBarrier();
   for(uint64_t r=0;r<ShmSize;r++){
-    ShmBarrier();
+    acceleratorCopyFromDevice(ShmCommBufs[r],check,3*sizeof(uint64_t));
-    GlobalSharedMemory::SharedMemoryCopy(check,ShmCommBufs[r], 3*sizeof(uint64_t));
-    ShmBarrier();
     assert(check[0]==GlobalSharedMemory::WorldNode);
     assert(check[1]==r);
     assert(check[2]==magic);
-    ShmBarrier();
   }
+  ShmBarrier();
+  std::cout << GridLogDebug << " SharedMemoryTest has passed "<<std::endl;
 }
 
 void *SharedMemory::ShmBuffer(int rank)

Grid/communicator/SharedMemoryNone.cc

@@ -122,10 +122,10 @@ void GlobalSharedMemory::SharedMemoryZero(void *dest,size_t bytes)
 {
   acceleratorMemSet(dest,0,bytes);
 }
-void GlobalSharedMemory::SharedMemoryCopy(void *dest,void *src,size_t bytes)
+//void GlobalSharedMemory::SharedMemoryCopy(void *dest,void *src,size_t bytes)
-{
+//{
-  acceleratorCopyToDevice(src,dest,bytes);
+//  acceleratorCopyToDevice(src,dest,bytes);
-}
+//}
 ////////////////////////////////////////////////////////
 // Global shared functionality finished
 // Now move to per communicator functionality

Grid/cshift/Cshift.h

@@ -51,7 +51,6 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
 #endif 
 
 NAMESPACE_BEGIN(Grid);
-
 template<class Expression,typename std::enable_if<is_lattice_expr<Expression>::value,void>::type * = nullptr> 
 auto Cshift(const Expression &expr,int dim,int shift)  -> decltype(closure(expr)) 
 {

Grid/cshift/Cshift_common.h

@@ -30,12 +30,11 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
 NAMESPACE_BEGIN(Grid);
 
 extern std::vector<std::pair<int,int> > Cshift_table; 
-extern commVector<std::pair<int,int> > Cshift_table_device; 
+extern deviceVector<std::pair<int,int> > Cshift_table_device; 
 
 inline std::pair<int,int> *MapCshiftTable(void)
 {
   // GPU version
-#ifdef ACCELERATOR_CSHIFT    
   uint64_t sz=Cshift_table.size();
   if (Cshift_table_device.size()!=sz )    {
     Cshift_table_device.resize(sz);
@@ -45,16 +44,13 @@ inline std::pair<int,int> *MapCshiftTable(void)
 			  sizeof(Cshift_table[0])*sz);
 
   return &Cshift_table_device[0];
-#else 
-  return &Cshift_table[0];
-#endif
   // CPU version use identify map
 }
 ///////////////////////////////////////////////////////////////////
 // Gather for when there is no need to SIMD split 
 ///////////////////////////////////////////////////////////////////
 template<class vobj> void 
-Gather_plane_simple (const Lattice<vobj> &rhs,cshiftVector<vobj> &buffer,int dimension,int plane,int cbmask, int off=0)
+Gather_plane_simple (const Lattice<vobj> &rhs,deviceVector<vobj> &buffer,int dimension,int plane,int cbmask, int off=0)
 {
   int rd = rhs.Grid()->_rdimensions[dimension];
 
@@ -94,17 +90,10 @@ Gather_plane_simple (const Lattice<vobj> &rhs,cshiftVector<vobj> &buffer,int dim
   {
     auto buffer_p = & buffer[0];
     auto table = MapCshiftTable();
-#ifdef ACCELERATOR_CSHIFT
     autoView(rhs_v , rhs, AcceleratorRead);
     accelerator_for(i,ent,vobj::Nsimd(),{
 	coalescedWrite(buffer_p[table[i].first],coalescedRead(rhs_v[table[i].second]));
     });
-#else
-    autoView(rhs_v , rhs, CpuRead);
-    thread_for(i,ent,{
-      buffer_p[table[i].first]=rhs_v[table[i].second];
-    });
-#endif
   }
 }
 
@@ -129,7 +118,6 @@ Gather_plane_extract(const Lattice<vobj> &rhs,
   int n1=rhs.Grid()->_slice_stride[dimension];
 
   if ( cbmask ==0x3){
-#ifdef ACCELERATOR_CSHIFT
     autoView(rhs_v , rhs, AcceleratorRead);
     accelerator_for(nn,e1*e2,1,{
 	int n = nn%e1;
@@ -140,21 +128,10 @@ Gather_plane_extract(const Lattice<vobj> &rhs,
 	vobj temp =rhs_v[so+o+b];
 	extract<vobj>(temp,pointers,offset);
       });
-#else
-    autoView(rhs_v , rhs, CpuRead);
-    thread_for2d(n,e1,b,e2,{
-	int o      =   n*n1;
-	int offset = b+n*e2;
-	
-	vobj temp =rhs_v[so+o+b];
-	extract<vobj>(temp,pointers,offset);
-      });
-#endif
   } else { 
     Coordinate rdim=rhs.Grid()->_rdimensions;
     Coordinate cdm =rhs.Grid()->_checker_dim_mask;
     std::cout << " Dense packed buffer WARNING " <<std::endl; // Does this get called twice once for each cb?
-#ifdef ACCELERATOR_CSHIFT    
     autoView(rhs_v , rhs, AcceleratorRead);
     accelerator_for(nn,e1*e2,1,{
 	int n = nn%e1;
@@ -175,33 +152,13 @@ Gather_plane_extract(const Lattice<vobj> &rhs,
 	  extract<vobj>(temp,pointers,offset);
 	}
       });
-#else
-    autoView(rhs_v , rhs, CpuRead);
-    thread_for2d(n,e1,b,e2,{
-
-	Coordinate coor;
-
-	int o=n*n1;
-	int oindex = o+b;
-
-       	int cb = RedBlackCheckerBoardFromOindex(oindex, rdim, cdm);
-
-	int ocb=1<<cb;
-	int offset = b+n*e2;
-
-	if ( ocb & cbmask ) {
-	  vobj temp =rhs_v[so+o+b];
-	  extract<vobj>(temp,pointers,offset);
-	}
-      });
-#endif
   }
 }
 
 //////////////////////////////////////////////////////
 // Scatter for when there is no need to SIMD split
 //////////////////////////////////////////////////////
-template<class vobj> void Scatter_plane_simple (Lattice<vobj> &rhs,cshiftVector<vobj> &buffer, int dimension,int plane,int cbmask)
+template<class vobj> void Scatter_plane_simple (Lattice<vobj> &rhs,deviceVector<vobj> &buffer, int dimension,int plane,int cbmask)
 {
   int rd = rhs.Grid()->_rdimensions[dimension];
 
@@ -245,17 +202,10 @@ template<class vobj> void Scatter_plane_simple (Lattice<vobj> &rhs,cshiftVector<
   {
     auto buffer_p = & buffer[0];
     auto table = MapCshiftTable();
-#ifdef ACCELERATOR_CSHIFT    
     autoView( rhs_v, rhs, AcceleratorWrite);
     accelerator_for(i,ent,vobj::Nsimd(),{
 	coalescedWrite(rhs_v[table[i].first],coalescedRead(buffer_p[table[i].second]));
     });
-#else
-    autoView( rhs_v, rhs, CpuWrite);
-    thread_for(i,ent,{
-      rhs_v[table[i].first]=buffer_p[table[i].second];
-    });
-#endif
   }
 }
 
@@ -278,7 +228,6 @@ template<class vobj> void Scatter_plane_merge(Lattice<vobj> &rhs,ExtractPointerA
   if(cbmask ==0x3 ) {
     int _slice_stride = rhs.Grid()->_slice_stride[dimension];
     int _slice_block = rhs.Grid()->_slice_block[dimension];
-#ifdef ACCELERATOR_CSHIFT    
     autoView( rhs_v , rhs, AcceleratorWrite);
     accelerator_for(nn,e1*e2,1,{
 	int n = nn%e1;
@@ -287,14 +236,6 @@ template<class vobj> void Scatter_plane_merge(Lattice<vobj> &rhs,ExtractPointerA
 	int offset = b+n*_slice_block;
 	merge(rhs_v[so+o+b],pointers,offset);
       });
-#else
-    autoView( rhs_v , rhs, CpuWrite);
-    thread_for2d(n,e1,b,e2,{
-	int o      = n*_slice_stride;
-	int offset = b+n*_slice_block;
-	merge(rhs_v[so+o+b],pointers,offset);
-    });
-#endif
   } else { 
 
     // Case of SIMD split AND checker dim cannot currently be hit, except in 
@@ -360,19 +301,11 @@ template<class vobj> void Copy_plane(Lattice<vobj>& lhs,const Lattice<vobj> &rhs
 
   {
     auto table = MapCshiftTable();
-#ifdef ACCELERATOR_CSHIFT    
     autoView(rhs_v , rhs, AcceleratorRead);
     autoView(lhs_v , lhs, AcceleratorWrite);
     accelerator_for(i,ent,vobj::Nsimd(),{
       coalescedWrite(lhs_v[table[i].first],coalescedRead(rhs_v[table[i].second]));
     });
-#else
-    autoView(rhs_v , rhs, CpuRead);
-    autoView(lhs_v , lhs, CpuWrite);
-    thread_for(i,ent,{
-      lhs_v[table[i].first]=rhs_v[table[i].second];
-    });
-#endif
   }
 }
 
@@ -412,19 +345,11 @@ template<class vobj> void Copy_plane_permute(Lattice<vobj>& lhs,const Lattice<vo
 
   {
     auto table = MapCshiftTable();
-#ifdef ACCELERATOR_CSHIFT    
     autoView( rhs_v, rhs, AcceleratorRead);
     autoView( lhs_v, lhs, AcceleratorWrite);
     accelerator_for(i,ent,1,{
       permute(lhs_v[table[i].first],rhs_v[table[i].second],permute_type);
     });
-#else
-    autoView( rhs_v, rhs, CpuRead);
-    autoView( lhs_v, lhs, CpuWrite);
-    thread_for(i,ent,{
-      permute(lhs_v[table[i].first],rhs_v[table[i].second],permute_type);
-    });
-#endif
   }
 }
 

Grid/cshift/Cshift_mpi.h

@@ -31,9 +31,11 @@ Author: paboyle <paboyle@ph.ed.ac.uk>
 
 
 NAMESPACE_BEGIN(Grid); 
-
+const int Cshift_verbose=0;
 template<class vobj> Lattice<vobj> Cshift(const Lattice<vobj> &rhs,int dimension,int shift)
 {
+  assert(!rhs.Grid()->isIcosahedral());
+  
   typedef typename vobj::vector_type vector_type;
   typedef typename vobj::scalar_type scalar_type;
 
@@ -65,7 +67,7 @@ template<class vobj> Lattice<vobj> Cshift(const Lattice<vobj> &rhs,int dimension
     Cshift_comms(ret,rhs,dimension,shift);
   }
   t1=usecond();
-  //  std::cout << GridLogPerformance << "Cshift took "<< (t1-t0)/1e3 << " ms"<<std::endl;
+  if(Cshift_verbose) std::cout << GridLogPerformance << "Cshift took "<< (t1-t0)/1e3 << " ms"<<std::endl;
   return ret;
 }
 
@@ -94,7 +96,7 @@ template<class vobj> void Cshift_comms_simd(Lattice<vobj>& ret,const Lattice<vob
   sshift[0] = rhs.Grid()->CheckerBoardShiftForCB(rhs.Checkerboard(),dimension,shift,Even);
   sshift[1] = rhs.Grid()->CheckerBoardShiftForCB(rhs.Checkerboard(),dimension,shift,Odd);
 
-  //std::cout << "Cshift_comms_simd dim "<<dimension<<"cb "<<rhs.checkerboard<<"shift "<<shift<<" sshift " << sshift[0]<<" "<<sshift[1]<<std::endl;
+  //  std::cout << "Cshift_comms_simd dim "<<dimension<<"cb "<<rhs.Checkerboard()<<"shift "<<shift<<" sshift " << sshift[0]<<" "<<sshift[1]<<std::endl;
   if ( sshift[0] == sshift[1] ) {
     //    std::cout << "Single pass Cshift_comms" <<std::endl;
     Cshift_comms_simd(ret,rhs,dimension,shift,0x3);
@@ -104,8 +106,6 @@ template<class vobj> void Cshift_comms_simd(Lattice<vobj>& ret,const Lattice<vob
     Cshift_comms_simd(ret,rhs,dimension,shift,0x2);// both with block stride loop iteration
   }
 }
-#define ACCELERATOR_CSHIFT_NO_COPY
-#ifdef ACCELERATOR_CSHIFT_NO_COPY
 template<class vobj> void Cshift_comms(Lattice<vobj> &ret,const Lattice<vobj> &rhs,int dimension,int shift,int cbmask)
 {
   typedef typename vobj::vector_type vector_type;
@@ -125,8 +125,12 @@ template<class vobj> void Cshift_comms(Lattice<vobj> &ret,const Lattice<vobj> &r
   assert(shift<fd);
   
   int buffer_size = rhs.Grid()->_slice_nblock[dimension]*rhs.Grid()->_slice_block[dimension];
-  static cshiftVector<vobj> send_buf; send_buf.resize(buffer_size);
+  static deviceVector<vobj> send_buf; send_buf.resize(buffer_size);
-  static cshiftVector<vobj> recv_buf; recv_buf.resize(buffer_size);
+  static deviceVector<vobj> recv_buf; recv_buf.resize(buffer_size);
+#ifndef ACCELERATOR_AWARE_MPI
+  static hostVector<vobj> hsend_buf; hsend_buf.resize(buffer_size);
+  static hostVector<vobj> hrecv_buf; hrecv_buf.resize(buffer_size);
+#endif
   
   int cb= (cbmask==0x2)? Odd : Even;
   int sshift= rhs.Grid()->CheckerBoardShiftForCB(rhs.Checkerboard(),dimension,shift,cb);
@@ -158,18 +162,31 @@ template<class vobj> void Cshift_comms(Lattice<vobj> &ret,const Lattice<vobj> &r
       //      int rank           = grid->_processor;
       int recv_from_rank;
       int xmit_to_rank;
+
       grid->ShiftedRanks(dimension,comm_proc,xmit_to_rank,recv_from_rank);
       
       tcomms-=usecond();
-      //      grid->Barrier();
+      grid->Barrier();
 
+#ifdef ACCELERATOR_AWARE_MPI
       grid->SendToRecvFrom((void *)&send_buf[0],
 			   xmit_to_rank,
 			   (void *)&recv_buf[0],
 			   recv_from_rank,
 			   bytes);
+#else
+      // bouncy bouncy
+      acceleratorCopyFromDevice(&send_buf[0],&hsend_buf[0],bytes);
+      grid->SendToRecvFrom((void *)&hsend_buf[0],
+			   xmit_to_rank,
+			   (void *)&hrecv_buf[0],
+			   recv_from_rank,
+			   bytes);
+      acceleratorCopyToDevice(&hrecv_buf[0],&recv_buf[0],bytes);
+#endif
+
       xbytes+=bytes;
-      //      grid->Barrier();
+      grid->Barrier();
       tcomms+=usecond();
 
       tscatter-=usecond();
@@ -177,13 +194,13 @@ template<class vobj> void Cshift_comms(Lattice<vobj> &ret,const Lattice<vobj> &r
       tscatter+=usecond();
     }
   }
-  /*
+  if (Cshift_verbose){
     std::cout << GridLogPerformance << " Cshift copy    "<<tcopy/1e3<<" ms"<<std::endl;
     std::cout << GridLogPerformance << " Cshift gather  "<<tgather/1e3<<" ms"<<std::endl;
     std::cout << GridLogPerformance << " Cshift scatter "<<tscatter/1e3<<" ms"<<std::endl;
     std::cout << GridLogPerformance << " Cshift comm    "<<tcomms/1e3<<" ms"<<std::endl;
     std::cout << GridLogPerformance << " Cshift BW      "<<(2.0*xbytes)/tcomms<<" MB/s "<<2*xbytes<< " Bytes "<<std::endl;
-  */
+  }
 }
 
 template<class vobj> void  Cshift_comms_simd(Lattice<vobj> &ret,const Lattice<vobj> &rhs,int dimension,int shift,int cbmask)
@@ -224,8 +241,8 @@ template<class vobj> void  Cshift_comms_simd(Lattice<vobj> &ret,const Lattice<vo
   int buffer_size = grid->_slice_nblock[dimension]*grid->_slice_block[dimension];
   //  int words = sizeof(vobj)/sizeof(vector_type);
 
-  static std::vector<cshiftVector<scalar_object> >  send_buf_extract; send_buf_extract.resize(Nsimd);
+  static std::vector<deviceVector<scalar_object> >  send_buf_extract; send_buf_extract.resize(Nsimd);
-  static std::vector<cshiftVector<scalar_object> >  recv_buf_extract; recv_buf_extract.resize(Nsimd);
+  static std::vector<deviceVector<scalar_object> >  recv_buf_extract; recv_buf_extract.resize(Nsimd);
   scalar_object *  recv_buf_extract_mpi;
   scalar_object *  send_buf_extract_mpi;
 
@@ -233,6 +250,10 @@ template<class vobj> void  Cshift_comms_simd(Lattice<vobj> &ret,const Lattice<vo
     send_buf_extract[s].resize(buffer_size);
     recv_buf_extract[s].resize(buffer_size);
   }
+#ifndef ACCELERATOR_AWARE_MPI
+  hostVector<scalar_object> hsend_buf; hsend_buf.resize(buffer_size);
+  hostVector<scalar_object> hrecv_buf; hrecv_buf.resize(buffer_size);
+#endif
   
   int bytes = buffer_size*sizeof(scalar_object);
 
@@ -281,246 +302,31 @@ template<class vobj> void  Cshift_comms_simd(Lattice<vobj> &ret,const Lattice<vo
 	grid->ShiftedRanks(dimension,nbr_proc,xmit_to_rank,recv_from_rank); 
 
 	tcomms-=usecond();
-	//	grid->Barrier();
+	grid->Barrier();
 
 	send_buf_extract_mpi = &send_buf_extract[nbr_lane][0];
 	recv_buf_extract_mpi = &recv_buf_extract[i][0];
+#ifdef ACCELERATOR_AWARE_MPI
 	grid->SendToRecvFrom((void *)send_buf_extract_mpi,
 			     xmit_to_rank,
 			     (void *)recv_buf_extract_mpi,
 			     recv_from_rank,
 			     bytes);
-
-	xbytes+=bytes;
-	//	grid->Barrier();
-	tcomms+=usecond();
-
-	rpointers[i] = &recv_buf_extract[i][0];
-      } else { 
-	rpointers[i] = &send_buf_extract[nbr_lane][0];
-      }
-
-    }
-    tscatter-=usecond();
-    Scatter_plane_merge(ret,rpointers,dimension,x,cbmask);
-    tscatter+=usecond();
-  }
-  /*
-  std::cout << GridLogPerformance << " Cshift (s) copy    "<<tcopy/1e3<<" ms"<<std::endl;
-  std::cout << GridLogPerformance << " Cshift (s) gather  "<<tgather/1e3<<" ms"<<std::endl;
-  std::cout << GridLogPerformance << " Cshift (s) scatter "<<tscatter/1e3<<" ms"<<std::endl;
-  std::cout << GridLogPerformance << " Cshift (s) comm    "<<tcomms/1e3<<" ms"<<std::endl;
-  std::cout << GridLogPerformance << " Cshift BW      "<<(2.0*xbytes)/tcomms<<" MB/s "<<2*xbytes<< " Bytes "<<std::endl;
-  */
-}
 #else
-template<class vobj> void Cshift_comms(Lattice<vobj> &ret,const Lattice<vobj> &rhs,int dimension,int shift,int cbmask)
+      // bouncy bouncy
-{
+	acceleratorCopyFromDevice((void *)send_buf_extract_mpi,(void *)&hsend_buf[0],bytes);
-  typedef typename vobj::vector_type vector_type;
+	grid->SendToRecvFrom((void *)&hsend_buf[0],
-  typedef typename vobj::scalar_type scalar_type;
-
-  GridBase *grid=rhs.Grid();
-  Lattice<vobj> temp(rhs.Grid());
-
-  int fd              = rhs.Grid()->_fdimensions[dimension];
-  int rd              = rhs.Grid()->_rdimensions[dimension];
-  int pd              = rhs.Grid()->_processors[dimension];
-  int simd_layout     = rhs.Grid()->_simd_layout[dimension];
-  int comm_dim        = rhs.Grid()->_processors[dimension] >1 ;
-  assert(simd_layout==1);
-  assert(comm_dim==1);
-  assert(shift>=0);
-  assert(shift<fd);
-  RealD tcopy=0.0;
-  RealD tgather=0.0;
-  RealD tscatter=0.0;
-  RealD tcomms=0.0;
-  uint64_t xbytes=0;
-  
-  int buffer_size = rhs.Grid()->_slice_nblock[dimension]*rhs.Grid()->_slice_block[dimension];
-  static cshiftVector<vobj> send_buf_v; send_buf_v.resize(buffer_size);
-  static cshiftVector<vobj> recv_buf_v; recv_buf_v.resize(buffer_size);
-  vobj *send_buf;
-  vobj *recv_buf;
-  {
-    grid->ShmBufferFreeAll();
-    size_t bytes = buffer_size*sizeof(vobj);
-    send_buf=(vobj *)grid->ShmBufferMalloc(bytes);
-    recv_buf=(vobj *)grid->ShmBufferMalloc(bytes);
-  }
-    
-  int cb= (cbmask==0x2)? Odd : Even;
-  int sshift= rhs.Grid()->CheckerBoardShiftForCB(rhs.Checkerboard(),dimension,shift,cb);
-
-  for(int x=0;x<rd;x++){       
-
-    int sx        =  (x+sshift)%rd;
-    int comm_proc = ((x+sshift)/rd)%pd;
-    
-    if (comm_proc==0) {
-
-      tcopy-=usecond();
-      Copy_plane(ret,rhs,dimension,x,sx,cbmask); 
-      tcopy+=usecond();
-
-    } else {
-
-      int words = buffer_size;
-      if (cbmask != 0x3) words=words>>1;
-
-      int bytes = words * sizeof(vobj);
-
-      tgather-=usecond();
-      Gather_plane_simple (rhs,send_buf_v,dimension,sx,cbmask);
-      tgather+=usecond();
-
-      //      int rank           = grid->_processor;
-      int recv_from_rank;
-      int xmit_to_rank;
-      grid->ShiftedRanks(dimension,comm_proc,xmit_to_rank,recv_from_rank);
-
-
-      tcomms-=usecond();
-      //      grid->Barrier();
-
-      acceleratorCopyDeviceToDevice((void *)&send_buf_v[0],(void *)&send_buf[0],bytes);
-      grid->SendToRecvFrom((void *)&send_buf[0],
 			     xmit_to_rank,
-			   (void *)&recv_buf[0],
+			     (void *)&hrecv_buf[0],
 			     recv_from_rank,
 			     bytes);
-      xbytes+=bytes;
+	acceleratorCopyToDevice((void *)&hrecv_buf[0],(void *)recv_buf_extract_mpi,bytes);
-      acceleratorCopyDeviceToDevice((void *)&recv_buf[0],(void *)&recv_buf_v[0],bytes);
+#endif
 
-      //      grid->Barrier();
+	xbytes+=bytes;
+	grid->Barrier();
 	tcomms+=usecond();
 
-      tscatter-=usecond();
-      Scatter_plane_simple (ret,recv_buf_v,dimension,x,cbmask);
-      tscatter+=usecond();
-    }
-  }
-  /*
-  std::cout << GridLogPerformance << " Cshift copy    "<<tcopy/1e3<<" ms"<<std::endl;
-  std::cout << GridLogPerformance << " Cshift gather  "<<tgather/1e3<<" ms"<<std::endl;
-  std::cout << GridLogPerformance << " Cshift scatter "<<tscatter/1e3<<" ms"<<std::endl;
-  std::cout << GridLogPerformance << " Cshift comm    "<<tcomms/1e3<<" ms"<<std::endl;
-  std::cout << GridLogPerformance << " Cshift BW      "<<(2.0*xbytes)/tcomms<<" MB/s "<<2*xbytes<< " Bytes "<<std::endl;
-  */
-}
-
-template<class vobj> void  Cshift_comms_simd(Lattice<vobj> &ret,const Lattice<vobj> &rhs,int dimension,int shift,int cbmask)
-{
-  GridBase *grid=rhs.Grid();
-  const int Nsimd = grid->Nsimd();
-  typedef typename vobj::vector_type vector_type;
-  typedef typename vobj::scalar_object scalar_object;
-  typedef typename vobj::scalar_type scalar_type;
-   
-  int fd = grid->_fdimensions[dimension];
-  int rd = grid->_rdimensions[dimension];
-  int ld = grid->_ldimensions[dimension];
-  int pd = grid->_processors[dimension];
-  int simd_layout     = grid->_simd_layout[dimension];
-  int comm_dim        = grid->_processors[dimension] >1 ;
-
-  //std::cout << "Cshift_comms_simd dim "<< dimension << " fd "<<fd<<" rd "<<rd
-  //    << " ld "<<ld<<" pd " << pd<<" simd_layout "<<simd_layout 
-  //    << " comm_dim " << comm_dim << " cbmask " << cbmask <<std::endl;
-
-  assert(comm_dim==1);
-  assert(simd_layout==2);
-  assert(shift>=0);
-  assert(shift<fd);
-  RealD tcopy=0.0;
-  RealD tgather=0.0;
-  RealD tscatter=0.0;
-  RealD tcomms=0.0;
-  uint64_t xbytes=0;
-
-  int permute_type=grid->PermuteType(dimension);
-
-  ///////////////////////////////////////////////
-  // Simd direction uses an extract/merge pair
-  ///////////////////////////////////////////////
-  int buffer_size = grid->_slice_nblock[dimension]*grid->_slice_block[dimension];
-  //  int words = sizeof(vobj)/sizeof(vector_type);
-
-  static std::vector<cshiftVector<scalar_object> >  send_buf_extract; send_buf_extract.resize(Nsimd);
-  static std::vector<cshiftVector<scalar_object> >  recv_buf_extract; recv_buf_extract.resize(Nsimd);
-  scalar_object *  recv_buf_extract_mpi;
-  scalar_object *  send_buf_extract_mpi;
-  {
-    size_t bytes = sizeof(scalar_object)*buffer_size;
-    grid->ShmBufferFreeAll();
-    send_buf_extract_mpi = (scalar_object *)grid->ShmBufferMalloc(bytes);
-    recv_buf_extract_mpi = (scalar_object *)grid->ShmBufferMalloc(bytes);
-  }
-  for(int s=0;s<Nsimd;s++){
-    send_buf_extract[s].resize(buffer_size);
-    recv_buf_extract[s].resize(buffer_size);
-  }
-
-  int bytes = buffer_size*sizeof(scalar_object);
-
-  ExtractPointerArray<scalar_object>  pointers(Nsimd); // 
-  ExtractPointerArray<scalar_object> rpointers(Nsimd); // received pointers
-
-  ///////////////////////////////////////////
-  // Work out what to send where
-  ///////////////////////////////////////////
-  int cb    = (cbmask==0x2)? Odd : Even;
-  int sshift= grid->CheckerBoardShiftForCB(rhs.Checkerboard(),dimension,shift,cb);
-
-  // loop over outer coord planes orthog to dim
-  for(int x=0;x<rd;x++){       
-
-    // FIXME call local permute copy if none are offnode.
-    for(int i=0;i<Nsimd;i++){       
-      pointers[i] = &send_buf_extract[i][0];
-    }
-    tgather-=usecond();
-    int sx   = (x+sshift)%rd;
-    Gather_plane_extract(rhs,pointers,dimension,sx,cbmask);
-    tgather+=usecond();
-
-    for(int i=0;i<Nsimd;i++){
-      
-      int inner_bit = (Nsimd>>(permute_type+1));
-      int ic= (i&inner_bit)? 1:0;
-
-      int my_coor          = rd*ic + x;
-      int nbr_coor         = my_coor+sshift;
-      int nbr_proc = ((nbr_coor)/ld) % pd;// relative shift in processors
-
-      int nbr_ic   = (nbr_coor%ld)/rd;    // inner coord of peer
-      int nbr_ox   = (nbr_coor%rd);       // outer coord of peer
-      int nbr_lane = (i&(~inner_bit));
-
-      int recv_from_rank;
-      int xmit_to_rank;
-
-      if (nbr_ic) nbr_lane|=inner_bit;
-
-      assert (sx == nbr_ox);
-
-      if(nbr_proc){
-	grid->ShiftedRanks(dimension,nbr_proc,xmit_to_rank,recv_from_rank); 
-
-	tcomms-=usecond();
-	//	grid->Barrier();
-
-	acceleratorCopyDeviceToDevice((void *)&send_buf_extract[nbr_lane][0],(void *)send_buf_extract_mpi,bytes);
-	grid->SendToRecvFrom((void *)send_buf_extract_mpi,
-			     xmit_to_rank,
-			     (void *)recv_buf_extract_mpi,
-			     recv_from_rank,
-			     bytes);
-	acceleratorCopyDeviceToDevice((void *)recv_buf_extract_mpi,(void *)&recv_buf_extract[i][0],bytes);
-	xbytes+=bytes;
-
-	//	grid->Barrier();
-	tcomms+=usecond();
 	rpointers[i] = &recv_buf_extract[i][0];
       } else { 
 	rpointers[i] = &send_buf_extract[nbr_lane][0];
@@ -530,17 +336,16 @@ template<class vobj> void  Cshift_comms_simd(Lattice<vobj> &ret,const Lattice<vo
     tscatter-=usecond();
     Scatter_plane_merge(ret,rpointers,dimension,x,cbmask);
     tscatter+=usecond();
-
   }
-  /*
+  if(Cshift_verbose){
     std::cout << GridLogPerformance << " Cshift (s) copy    "<<tcopy/1e3<<" ms"<<std::endl;
     std::cout << GridLogPerformance << " Cshift (s) gather  "<<tgather/1e3<<" ms"<<std::endl;
     std::cout << GridLogPerformance << " Cshift (s) scatter "<<tscatter/1e3<<" ms"<<std::endl;
     std::cout << GridLogPerformance << " Cshift (s) comm    "<<tcomms/1e3<<" ms"<<std::endl;
-  std::cout << GridLogPerformance << " Cshift BW      "<<(2.0*xbytes)/tcomms<<" MB/s"<<std::endl;
+    std::cout << GridLogPerformance << " Cshift BW      "<<(2.0*xbytes)/tcomms<<" MB/s "<<2*xbytes<< " Bytes "<<std::endl;
-  */
   }
-#endif
+}
+
 NAMESPACE_END(Grid); 
 
 #endif

Grid/cshift/Cshift_none.h

@@ -30,6 +30,7 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
 NAMESPACE_BEGIN(Grid);
 template<class vobj> Lattice<vobj> Cshift(const Lattice<vobj> &rhs,int dimension,int shift)
 {
+  assert(!rhs.Grid()->isIcosahedral());
   Lattice<vobj> ret(rhs.Grid());
   ret.Checkerboard() = rhs.Grid()->CheckerBoardDestination(rhs.Checkerboard(),shift,dimension);
   Cshift_local(ret,rhs,dimension,shift);

Grid/cshift/Cshift_table.cc

@@ -1,5 +1,5 @@
 #include <Grid/GridCore.h>       
 NAMESPACE_BEGIN(Grid);
 std::vector<std::pair<int,int> > Cshift_table; 
-commVector<std::pair<int,int> > Cshift_table_device; 
+deviceVector<std::pair<int,int> > Cshift_table_device; 
 NAMESPACE_END(Grid);

Grid/lattice/Lattice_arith.h

@@ -257,17 +257,30 @@ void axpby(Lattice<vobj> &ret,sobj a,sobj b,const Lattice<vobj> &x,const Lattice
   });
 }
 
+#define FAST_AXPY_NORM
 template<class sobj,class vobj> inline
 RealD axpy_norm(Lattice<vobj> &ret,sobj a,const Lattice<vobj> &x,const Lattice<vobj> &y)
 {
   GRID_TRACE("axpy_norm");
+#ifdef FAST_AXPY_NORM
   return axpy_norm_fast(ret,a,x,y);
+#else
+  ret = a*x+y;
+  RealD nn=norm2(ret);
+  return nn;
+#endif
 }
 template<class sobj,class vobj> inline
 RealD axpby_norm(Lattice<vobj> &ret,sobj a,sobj b,const Lattice<vobj> &x,const Lattice<vobj> &y)
 {
   GRID_TRACE("axpby_norm");
+#ifdef FAST_AXPY_NORM
   return axpby_norm_fast(ret,a,b,x,y);
+#else
+  ret = a*x+b*y;
+  RealD nn=norm2(ret);
+  return nn;
+#endif
 }
 
 /// Trace product

Grid/lattice/Lattice_base.h

@@ -237,16 +237,19 @@ public:
     vobj vtmp;
     vtmp = r;
 #if 1
+    deviceVector<vobj> vvtmp(1);
+    acceleratorPut(vvtmp[0],vtmp);
+    vobj *vvtmp_p = & vvtmp[0];
+    auto me  = View(AcceleratorWrite);
+    accelerator_for(ss,me.size(),vobj::Nsimd(),{
+	auto stmp=coalescedRead(*vvtmp_p);
+	coalescedWrite(me[ss],stmp);
+    });
+#else    
     auto me  = View(CpuWrite);
     thread_for(ss,me.size(),{
        me[ss]= r;
       });
-#else    
-    auto me  = View(AcceleratorWrite);
-    accelerator_for(ss,me.size(),vobj::Nsimd(),{
-	auto stmp=coalescedRead(vtmp);
-	coalescedWrite(me[ss],stmp);
-    });
 #endif    
     me.ViewClose();
     return *this;
@@ -370,14 +373,17 @@ public:
 
 template<class vobj> std::ostream& operator<< (std::ostream& stream, const Lattice<vobj> &o){
   typedef typename vobj::scalar_object sobj;
-  for(int64_t g=0;g<o.Grid()->_gsites;g++){
+  uint64_t gsites=1;
+  uint64_t polesites=0;
+  for(int d=0;d<o.Grid()->_ndimension;d++) gsites *= o.Grid()->_gdimensions[d];
+  for(int64_t g=0;g<gsites;g++){
 
     Coordinate gcoor;
     o.Grid()->GlobalIndexToGlobalCoor(g,gcoor);
 
     sobj ss;
     peekSite(ss,o,gcoor);
-    stream<<"[";
+    stream<<"["<<  g<<" : ";
     for(int d=0;d<gcoor.size();d++){
       stream<<gcoor[d];
       if(d!=gcoor.size()-1) stream<<",";
@@ -385,6 +391,41 @@ template<class vobj> std::ostream& operator<< (std::ostream& stream, const Latti
     stream<<"]\t";
     stream<<ss<<std::endl;
   }
+  if ( o.Grid()->isIcosahedralVertex() ) {
+    uint64_t psites=1;
+    Coordinate perpdims;
+    for(int d=2;d<o.Grid()->_ndimension-1;d++){
+      int pd=o.Grid()->_gdimensions[d];
+      psites*=pd;
+      perpdims.push_back(pd);
+    }
+    for(uint64_t p=0;p<psites;p++){
+      sobj ss;
+      Coordinate orthog;
+      Lexicographic::CoorFromIndex(orthog,p,perpdims);
+      peekPole(ss,o,orthog,South);
+      stream<<"[ SouthPole : ";
+      for(int d=0;d<orthog.size();d++){
+	stream<<orthog[d];
+	if(d!=orthog.size()-1) stream<<",";
+      }
+      stream<<"]\t";
+      stream<<ss<<std::endl;
+    }
+    for(uint64_t p=0;p<psites;p++){
+      sobj ss;
+      Coordinate orthog;
+      Lexicographic::CoorFromIndex(orthog,p,perpdims);
+      peekPole(ss,o,orthog,North);
+      stream<<"[ NorthPole : ";
+      for(int d=0;d<orthog.size();d++){
+	stream<<orthog[d];
+	if(d!=orthog.size()-1) stream<<",";
+      }
+      stream<<"]\t";
+      stream<<ss<<std::endl;
+    }
+  }
   return stream;
 }
   

Grid/lattice/Lattice_basis.h

@@ -53,36 +53,19 @@ void basisRotate(VField &basis,Matrix& Qt,int j0, int j1, int k0,int k1,int Nm)
   typedef decltype(basis[0]) Field;
   typedef decltype(basis[0].View(AcceleratorRead)) View;
 
-  Vector<View> basis_v; basis_v.reserve(basis.size());
+  hostVector<View>  h_basis_v(basis.size());
-  typedef typename std::remove_reference<decltype(basis_v[0][0])>::type vobj;
+  deviceVector<View> d_basis_v(basis.size());
+  typedef typename std::remove_reference<decltype(h_basis_v[0][0])>::type vobj;
   typedef typename std::remove_reference<decltype(Qt(0,0))>::type Coeff_t;
+
   GridBase* grid = basis[0].Grid();
       
   for(int k=0;k<basis.size();k++){
-    basis_v.push_back(basis[k].View(AcceleratorWrite));
+    h_basis_v[k] = basis[k].View(AcceleratorWrite);
+    acceleratorPut(d_basis_v[k],h_basis_v[k]);
   }
 
-#if ( !(defined(GRID_CUDA) || defined(GRID_HIP) || defined(GRID_SYCL)) )
+  View *basis_vp = &d_basis_v[0];
-  int max_threads = thread_max();
-  Vector < vobj > Bt(Nm * max_threads);
-  thread_region
-    {
-      vobj* B = &Bt[Nm * thread_num()];
-      thread_for_in_region(ss, grid->oSites(),{
-	  for(int j=j0; j<j1; ++j) B[j]=0.;
-      
-	  for(int j=j0; j<j1; ++j){
-	    for(int k=k0; k<k1; ++k){
-	      B[j] +=Qt(j,k) * basis_v[k][ss];
-	    }
-	  }
-	  for(int j=j0; j<j1; ++j){
-	    basis_v[j][ss] = B[j];
-	  }
-	});
-    }
-#else
-  View *basis_vp = &basis_v[0];
 
   int nrot = j1-j0;
   if (!nrot) // edge case not handled gracefully by Cuda
@@ -91,17 +74,19 @@ void basisRotate(VField &basis,Matrix& Qt,int j0, int j1, int k0,int k1,int Nm)
   uint64_t oSites   =grid->oSites();
   uint64_t siteBlock=(grid->oSites()+nrot-1)/nrot; // Maximum 1 additional vector overhead
 
-  Vector <vobj> Bt(siteBlock * nrot); 
+  deviceVector <vobj> Bt(siteBlock * nrot); 
   auto Bp=&Bt[0];
 
   // GPU readable copy of matrix
-  Vector<Coeff_t> Qt_jv(Nm*Nm);
+  hostVector<Coeff_t> h_Qt_jv(Nm*Nm);
+  deviceVector<Coeff_t> Qt_jv(Nm*Nm);
   Coeff_t *Qt_p = & Qt_jv[0];
   thread_for(i,Nm*Nm,{
       int j = i/Nm;
       int k = i%Nm;
-      Qt_p[i]=Qt(j,k);
+      h_Qt_jv[i]=Qt(j,k);
   });
+  acceleratorCopyToDevice(&h_Qt_jv[0],Qt_p,Nm*Nm*sizeof(Coeff_t));
 
   // Block the loop to keep storage footprint down
   for(uint64_t s=0;s<oSites;s+=siteBlock){
@@ -137,9 +122,8 @@ void basisRotate(VField &basis,Matrix& Qt,int j0, int j1, int k0,int k1,int Nm)
 	coalescedWrite(basis_vp[jj][sss],coalescedRead(Bp[ss*nrot+j]));
       });
   }
-#endif
 
-  for(int k=0;k<basis.size();k++) basis_v[k].ViewClose();
+  for(int k=0;k<basis.size();k++) h_basis_v[k].ViewClose();
 }
 
 // Extract a single rotated vector
@@ -152,16 +136,19 @@ void basisRotateJ(Field &result,std::vector<Field> &basis,Eigen::MatrixXd& Qt,in
 
   result.Checkerboard() = basis[0].Checkerboard();
 
-  Vector<View> basis_v; basis_v.reserve(basis.size());
+  hostVector<View>  h_basis_v(basis.size());
+  deviceVector<View> d_basis_v(basis.size());
   for(int k=0;k<basis.size();k++){
-    basis_v.push_back(basis[k].View(AcceleratorRead));
+    h_basis_v[k]=basis[k].View(AcceleratorRead);
+    acceleratorPut(d_basis_v[k],h_basis_v[k]);
   }
-  vobj zz=Zero();
-  Vector<double> Qt_jv(Nm);
-  double * Qt_j = & Qt_jv[0];
-  for(int k=0;k<Nm;++k) Qt_j[k]=Qt(j,k);
 
-  auto basis_vp=& basis_v[0];
+  vobj zz=Zero();
+  deviceVector<double> Qt_jv(Nm);
+  double * Qt_j = & Qt_jv[0];
+  for(int k=0;k<Nm;++k) acceleratorPut(Qt_j[k],Qt(j,k));
+
+  auto basis_vp=& d_basis_v[0];
   autoView(result_v,result,AcceleratorWrite);
   accelerator_for(ss, grid->oSites(),vobj::Nsimd(),{
     vobj zzz=Zero();
@@ -171,7 +158,7 @@ void basisRotateJ(Field &result,std::vector<Field> &basis,Eigen::MatrixXd& Qt,in
     }
     coalescedWrite(result_v[ss], B);
   });
-  for(int k=0;k<basis.size();k++) basis_v[k].ViewClose();
+  for(int k=0;k<basis.size();k++) h_basis_v[k].ViewClose();
 }
 
 template<class Field>

Grid/lattice/Lattice_coordinate.h

@@ -34,11 +34,18 @@ template<class iobj> inline void LatticeCoordinate(Lattice<iobj> &l,int mu)
   typedef typename iobj::scalar_type scalar_type;
   typedef typename iobj::vector_type vector_type;
 
+  l=Zero();
+  
   GridBase *grid = l.Grid();
   int Nsimd = grid->iSites();
 
+  int cartesian_vol = grid->oSites();
+  if ( grid->isIcosahedral() ) {
+    cartesian_vol = cartesian_vol - grid->NorthPoleOsites()-grid->SouthPoleOsites();
+  }
+  {
     autoView(l_v, l, CpuWrite);
-  thread_for( o, grid->oSites(), {
+    thread_for( o, cartesian_vol, {
 	vector_type vI;
 	Coordinate gcoor;
 	ExtractBuffer<scalar_type> mergebuf(Nsimd);
@@ -49,7 +56,64 @@ template<class iobj> inline void LatticeCoordinate(Lattice<iobj> &l,int mu)
 	merge<vector_type,scalar_type>(vI,mergebuf);
 	l_v[o]=vI;
       });
+  }
+
+  if (grid->isIcosahedralVertex()) {
+    uint64_t psites=1;
+    Coordinate perpdims;
+    typename iobj::scalar_object ss;
+    for(int d=2;d<grid->_ndimension-1;d++){
+      int pd=grid->_gdimensions[d];
+      psites*=pd;
+      perpdims.push_back(pd);
+    }
+    for(uint64_t p=0;p<psites;p++){
+      Coordinate orthog;
+      Lexicographic::CoorFromIndex(orthog,p,perpdims);
+
+      int icoor;
+      if ( mu>=2 && mu < grid->_ndimension-1) {
+	icoor = orthog[mu-2];
+      } else {
+	icoor = -1;
+      }
+
+      ss=scalar_type(icoor);
+
+      pokePole(ss,l,orthog,South);
+      pokePole(ss,l,orthog,North);
+    }
+  }
+};
+template<class iobj> inline void LatticePole(Lattice<iobj> &l,NorthSouth pole)
+{
+  typedef typename iobj::scalar_object sobj;
+  typedef typename iobj::scalar_type scalar_type;
+  typedef typename iobj::vector_type vector_type;
+
+  GridBase *grid = l.Grid();
+
+  l=Zero();
+
+  assert(grid->isIcosahedralVertex());
+  
+  if (grid->isIcosahedralVertex()) {
+    uint64_t psites=1;
+    Coordinate perpdims;
+    sobj ss;
+    scalar_type one(1.0);
+    ss=one;
+    for(int d=2;d<l.Grid()->_ndimension-1;d++){
+      int pd=l.Grid()->_gdimensions[d];
+      psites*=pd;
+      perpdims.push_back(pd);
+    }
+    for(uint64_t p=0;p<psites;p++){
+      Coordinate orthog;
+      Lexicographic::CoorFromIndex(orthog,p,perpdims);
+      pokePole(ss,l,orthog,pole);
+    }
+  }
 };
 
 NAMESPACE_END(Grid);
-

Grid/lattice/Lattice_peekpoke.h

@@ -141,7 +141,7 @@ void peekSite(sobj &s,const Lattice<vobj> &l,const Coordinate &site){
   grid->GlobalCoorToRankIndex(rank,odx,idx,site);
 
   ExtractBuffer<sobj> buf(Nsimd);
-  autoView( l_v , l, CpuWrite);
+  autoView( l_v , l, CpuRead);
   extract(l_v[odx],buf);
 
   s = buf[idx];
@@ -151,6 +151,261 @@ void peekSite(sobj &s,const Lattice<vobj> &l,const Coordinate &site){
   return;
 };
 
+// zero for south pole, one for north pole
+template<class vobj,class sobj>
+void peekPole(sobj &s,const Lattice<vobj> &l,const Coordinate &orthog,NorthSouth isNorth)
+{
+  s=Zero();
+  
+  GridBase *grid=l.Grid();
+
+  assert(grid->isIcosahedral());
+  assert(grid->isIcosahedralVertex());
+
+  int Nsimd = grid->Nsimd();
+
+  int rank;
+
+  int Ndm1         = grid->_ndimension-1;
+  Coordinate pgrid = grid->ProcessorGrid();
+  const int xdim=0;
+  const int ydim=1;
+  const int pdim=Ndm1;
+
+  int64_t pole_osite;
+  int64_t pole_isite;
+  Coordinate rdims;
+  Coordinate idims;
+  Coordinate ocoor;
+  Coordinate icoor;
+  Coordinate pcoor(grid->_ndimension);
+  for(int d=2;d<Ndm1;d++){
+    int dd=d-2;
+    rdims.push_back(grid->_rdimensions[d]);
+    idims.push_back(grid->_simd_layout[d]);
+    icoor.push_back((orthog[dd]%grid->_ldimensions[d])/grid->_rdimensions[d]);
+    ocoor.push_back(orthog[dd]%grid->_rdimensions[d]);
+    pcoor[d] = orthog[dd]/grid->_ldimensions[d];
+  }
+  Lexicographic::IndexFromCoor(ocoor,pole_osite,rdims);
+  Lexicographic::IndexFromCoor(icoor,pole_isite,idims);
+  
+  int64_t osite;
+  if(isNorth == North){
+    pcoor[xdim] = 0;
+    pcoor[ydim] = pgrid[ydim]-1;
+    pcoor[Ndm1] = pgrid[Ndm1]-1;
+    osite = pole_osite + grid->NorthPoleOsite();
+  } else {
+    pcoor[xdim] = pgrid[xdim]-1;
+    pcoor[ydim] = 0;
+    pcoor[Ndm1] = 0;
+    osite = pole_osite + grid->SouthPoleOsite();
+  }
+
+  rank = grid->RankFromProcessorCoor(pcoor);
+
+  if ( rank == grid->ThisRank() ) {
+    ExtractBuffer<sobj> buf(Nsimd);
+    autoView( l_v , l, CpuWrite);
+    extract(l_v[osite],buf);
+    s = buf[pole_isite];
+  }
+  grid->Broadcast(rank,s);
+
+  return;
+};
+template<class vobj,class sobj>
+void pokePole(const sobj &s,Lattice<vobj> &l,const Coordinate &orthog,NorthSouth isNorth)
+{
+  GridBase *grid=l.Grid();
+
+  assert(grid->isIcosahedral());
+  assert(grid->isIcosahedralVertex());
+
+  grid->Broadcast(grid->BossRank(),s);
+
+  int Nsimd = grid->Nsimd();
+  int rank;
+  int Ndm1         = grid->_ndimension-1;
+  Coordinate pgrid = grid->ProcessorGrid();
+  const int xdim=0;
+  const int ydim=1;
+  const int pdim=Ndm1;
+
+  int64_t pole_osite;
+  int64_t pole_isite;
+  Coordinate rdims;
+  Coordinate idims;
+  Coordinate ocoor;
+  Coordinate icoor;
+  Coordinate pcoor(grid->_ndimension,0);
+  for(int d=2;d<Ndm1;d++){
+    int dd = d-2;
+    rdims.push_back(grid->_rdimensions[d]);
+    idims.push_back(grid->_simd_layout[d]);
+    icoor.push_back((orthog[dd]%grid->_ldimensions[d])/grid->_rdimensions[d]);
+    ocoor.push_back(orthog[dd]%grid->_rdimensions[d]);
+    pcoor[d] = orthog[dd]/grid->_ldimensions[d];
+
+    int o = orthog[dd];
+    int r = grid->_rdimensions[d];
+    int omr = o % r;
+  }
+  Lexicographic::IndexFromCoor(ocoor,pole_osite,rdims);
+  Lexicographic::IndexFromCoor(icoor,pole_isite,idims);
+  
+  int64_t osite;
+  if(isNorth ==North){
+    pcoor[xdim] = 0;
+    pcoor[ydim] = pgrid[ydim]-1;
+    pcoor[Ndm1] = pgrid[Ndm1]-1;
+    osite = pole_osite + grid->NorthPoleOsite();
+  } else {
+    pcoor[xdim] = pgrid[xdim]-1;
+    pcoor[ydim] = 0;
+    pcoor[Ndm1] = 0;
+    osite = pole_osite + grid->SouthPoleOsite();
+  }
+
+  rank = grid->RankFromProcessorCoor(pcoor);
+
+  // extract-modify-merge cycle is easiest way and this is not perf critical
+  if ( rank == grid->ThisRank() ) {
+    ExtractBuffer<sobj> buf(Nsimd);
+    autoView( l_v , l, CpuWrite);
+    extract(l_v[osite],buf);
+    buf[pole_isite] = s;
+    merge(l_v[osite],buf);
+  }
+  return;
+};
+
+
+template<class vobj,class sobj>
+void peekLocalPole(sobj &s,const Lattice<vobj> &l,const Coordinate &orthog,NorthSouth isNorth)
+{
+  s=Zero();
+  
+  GridBase *grid=l.Grid();
+
+  assert(grid->isIcosahedral());
+  assert(grid->isIcosahedralVertex());
+
+  int Nsimd = grid->Nsimd();
+
+  int rank;
+
+  int Ndm1         = grid->_ndimension-1;
+  Coordinate pgrid = grid->ProcessorGrid();
+  const int xdim=0;
+  const int ydim=1;
+  const int pdim=Ndm1;
+
+  int64_t pole_osite;
+  int64_t pole_isite;
+  Coordinate rdims;
+  Coordinate idims;
+  Coordinate ocoor;
+  Coordinate icoor;
+  //  Coordinate pcoor(grid->_ndimension);
+  for(int d=2;d<Ndm1;d++){
+    int dd=d-2;
+    rdims.push_back(grid->_rdimensions[d]);
+    idims.push_back(grid->_simd_layout[d]);
+    icoor.push_back((orthog[dd]%grid->_ldimensions[d])/grid->_rdimensions[d]);
+    ocoor.push_back(orthog[dd]%grid->_rdimensions[d]);
+    //    pcoor[d] = orthog[dd]/grid->_ldimensions[d];
+  }
+  Lexicographic::IndexFromCoor(ocoor,pole_osite,rdims);
+  Lexicographic::IndexFromCoor(icoor,pole_isite,idims);
+  
+  int64_t osite;
+  if(isNorth == North){
+    //    pcoor[xdim] = 0;
+    //    pcoor[ydim] = pgrid[ydim]-1;
+    //    pcoor[Ndm1] = pgrid[Ndm1]-1;
+    osite = pole_osite + grid->NorthPoleOsite();
+    assert(grid->ownsNorthPole());
+  } else {
+    //    pcoor[xdim] = pgrid[xdim]-1;
+    //    pcoor[ydim] = 0;
+    //    pcoor[Ndm1] = 0;
+    osite = pole_osite + grid->SouthPoleOsite();
+    assert(grid->ownsSouthPole());
+  }
+
+  ExtractBuffer<sobj> buf(Nsimd);
+  autoView( l_v , l, CpuWrite);
+  extract(l_v[osite],buf);
+  s = buf[pole_isite];
+
+  return;
+};
+template<class vobj,class sobj>
+void pokeLocalPole(const sobj &s,Lattice<vobj> &l,const Coordinate &orthog,NorthSouth isNorth)
+{
+  GridBase *grid=l.Grid();
+
+  assert(grid->isIcosahedral());
+  assert(grid->isIcosahedralVertex());
+
+  int Nsimd = grid->Nsimd();
+  int rank;
+  int Ndm1         = grid->_ndimension-1;
+
+  const int xdim=0;
+  const int ydim=1;
+  const int pdim=Ndm1;
+
+  int64_t pole_osite;
+  int64_t pole_isite;
+  Coordinate rdims;
+  Coordinate idims;
+  Coordinate ocoor;
+  Coordinate icoor;
+  //  Coordinate pcoor(grid->_ndimension,0);
+  for(int d=2;d<Ndm1;d++){
+    int dd = d-2;
+    rdims.push_back(grid->_rdimensions[d]);
+    idims.push_back(grid->_simd_layout[d]);
+    icoor.push_back((orthog[dd]%grid->_ldimensions[d])/grid->_rdimensions[d]);
+    ocoor.push_back(orthog[dd]%grid->_rdimensions[d]);
+    //    pcoor[d] = orthog[dd]/grid->_ldimensions[d];
+
+    int o = orthog[dd];
+    int r = grid->_rdimensions[d];
+    int omr = o % r;
+  }
+  Lexicographic::IndexFromCoor(ocoor,pole_osite,rdims);
+  Lexicographic::IndexFromCoor(icoor,pole_isite,idims);
+  
+  int64_t osite;
+  int insert=0;
+  if(isNorth ==North){
+    //    pcoor[xdim] = 0;
+    //    pcoor[ydim] = pgrid[ydim]-1;
+    //    pcoor[Ndm1] = pgrid[Ndm1]-1;
+    osite = pole_osite + grid->NorthPoleOsite();
+    assert(grid->ownsNorthPole());
+  } else {
+    //    pcoor[xdim] = pgrid[xdim]-1;
+    //    pcoor[ydim] = 0;
+    //    pcoor[Ndm1] = 0;
+    osite = pole_osite + grid->SouthPoleOsite();
+    assert(grid->ownsSouthPole());
+  }
+
+  // extract-modify-merge cycle is easiest way and this is not perf critical
+  ExtractBuffer<sobj> buf(Nsimd);
+  autoView( l_v , l, CpuWrite);
+  extract(l_v[osite],buf);
+  buf[pole_isite] = s;
+  merge(l_v[osite],buf);
+  
+  return;
+};
+
 //////////////////////////////////////////////////////////
 // Peek a scalar object from the SIMD array
 //////////////////////////////////////////////////////////
@@ -165,7 +420,7 @@ inline void peekLocalSite(sobj &s,const LatticeView<vobj> &l,Coordinate &site)
 
   int Nsimd = grid->Nsimd();
 
-  assert( l.Checkerboard()== grid->CheckerBoard(site));
+  //  assert( l.Checkerboard()== grid->CheckerBoard(site));
   assert( sizeof(sobj)*Nsimd == sizeof(vobj));
 
   static const int words=sizeof(vobj)/sizeof(vector_type);
@@ -202,7 +457,7 @@ inline void pokeLocalSite(const sobj &s,LatticeView<vobj> &l,Coordinate &site)
 
   int Nsimd = grid->Nsimd();
 
-  assert( l.Checkerboard()== grid->CheckerBoard(site));
+  //  assert( l.Checkerboard()== grid->CheckerBoard(site));
   assert( sizeof(sobj)*Nsimd == sizeof(vobj));
 
   static const int words=sizeof(vobj)/sizeof(vector_type);

Grid/lattice/Lattice_reduction.h

@@ -46,7 +46,7 @@ inline typename vobj::scalar_object sum_cpu(const vobj *arg, Integer osites)
   //  const int Nsimd = vobj::Nsimd();
   const int nthread = GridThread::GetThreads();
 
-  Vector<sobj> sumarray(nthread);
+  std::vector<sobj> sumarray(nthread);
   for(int i=0;i<nthread;i++){
     sumarray[i]=Zero();
   }
@@ -75,7 +75,7 @@ inline typename vobj::scalar_objectD sumD_cpu(const vobj *arg, Integer osites)
 
   const int nthread = GridThread::GetThreads();
 
-  Vector<sobj> sumarray(nthread);
+  std::vector<sobj> sumarray(nthread);
   for(int i=0;i<nthread;i++){
     sumarray[i]=Zero();
   }
@@ -264,24 +264,8 @@ inline ComplexD rankInnerProduct(const Lattice<vobj> &left,const Lattice<vobj> &
   const uint64_t sites = grid->oSites();
   
   // Might make all code paths go this way.
-#if 0
-  typedef decltype(innerProductD(vobj(),vobj())) inner_t;
-  Vector<inner_t> inner_tmp(sites);
-  auto inner_tmp_v = &inner_tmp[0];
-  {
-    autoView( left_v , left, AcceleratorRead);
-    autoView( right_v,right, AcceleratorRead);
-    // This code could read coalesce
-    // GPU - SIMT lane compliance...
-    accelerator_for( ss, sites, nsimd,{
-	auto x_l = left_v(ss);
-	auto y_l = right_v(ss);
-	coalescedWrite(inner_tmp_v[ss],innerProductD(x_l,y_l));
-    });
-  }
-#else
   typedef decltype(innerProduct(vobj(),vobj())) inner_t;
-  Vector<inner_t> inner_tmp(sites);
+  deviceVector<inner_t> inner_tmp(sites);
   auto inner_tmp_v = &inner_tmp[0];
     
   {
@@ -295,7 +279,6 @@ inline ComplexD rankInnerProduct(const Lattice<vobj> &left,const Lattice<vobj> &
 	coalescedWrite(inner_tmp_v[ss],innerProduct(x_l,y_l));
     });
   }
-#endif
   // This is in single precision and fails some tests
   auto anrm = sumD(inner_tmp_v,sites);  
   nrm = anrm;
@@ -307,8 +290,10 @@ template<class vobj>
 inline ComplexD innerProduct(const Lattice<vobj> &left,const Lattice<vobj> &right) {
   GridBase *grid = left.Grid();
 
+  bool ok;
 #ifdef GRID_SYCL
   uint64_t csum=0;
+  uint64_t csum2=0;
   if ( FlightRecorder::LoggingMode != FlightRecorder::LoggingModeNone)
   {
     // Hack
@@ -317,13 +302,33 @@ inline ComplexD innerProduct(const Lattice<vobj> &left,const Lattice<vobj> &righ
     Integer words = left.Grid()->oSites()*sizeof(vobj)/sizeof(uint64_t);
     uint64_t *base= (uint64_t *)&l_v[0];
     csum=svm_xor(base,words);
+    ok = FlightRecorder::CsumLog(csum);
+    if ( !ok ) {
+      csum2=svm_xor(base,words);
+      std::cerr<< " Bad CSUM " << std::hex<< csum << " recomputed as "<<csum2<<std::dec<<std::endl;
+    } else {
+      //      csum2=svm_xor(base,words);
+      //      std::cerr<< " ok CSUM " << std::hex<< csum << " recomputed as "<<csum2<<std::dec<<std::endl;
+    }
+    assert(ok);
   }
-  FlightRecorder::CsumLog(csum);
 #endif
+  FlightRecorder::StepLog("rank inner product");
   ComplexD nrm = rankInnerProduct(left,right);
+  //  ComplexD nrmck=nrm;
   RealD local = real(nrm);
-  FlightRecorder::NormLog(real(nrm)); 
+  ok = FlightRecorder::NormLog(real(nrm));
+  if ( !ok ) {
+    ComplexD nrm2 = rankInnerProduct(left,right);
+    RealD local2 = real(nrm2);
+    std::cerr<< " Bad NORM " << local << " recomputed as "<<local2<<std::endl;
+    assert(ok);
+  }
+  FlightRecorder::StepLog("Start global sum");
+  //  grid->GlobalSumP2P(nrm);
   grid->GlobalSum(nrm);
+  FlightRecorder::StepLog("Finished global sum");
+  //  std::cout << " norm "<< nrm << " p2p norm "<<nrmck<<std::endl;
   FlightRecorder::ReductionLog(local,real(nrm)); 
   return nrm;
 }
@@ -360,20 +365,9 @@ axpby_norm_fast(Lattice<vobj> &z,sobj a,sobj b,const Lattice<vobj> &x,const Latt
   autoView( x_v, x, AcceleratorRead);
   autoView( y_v, y, AcceleratorRead);
   autoView( z_v, z, AcceleratorWrite);
-#if 0
-  typedef decltype(innerProductD(x_v[0],y_v[0])) inner_t;
-  Vector<inner_t> inner_tmp(sites);
-  auto inner_tmp_v = &inner_tmp[0];
-
-  accelerator_for( ss, sites, nsimd,{
-      auto tmp = a*x_v(ss)+b*y_v(ss);
-      coalescedWrite(inner_tmp_v[ss],innerProductD(tmp,tmp));
-      coalescedWrite(z_v[ss],tmp);
-  });
-  nrm = real(TensorRemove(sum(inner_tmp_v,sites)));
-#else
   typedef decltype(innerProduct(x_v[0],y_v[0])) inner_t;
-  Vector<inner_t> inner_tmp(sites);
+  deviceVector<inner_t> inner_tmp;
+  inner_tmp.resize(sites);
   auto inner_tmp_v = &inner_tmp[0];
 
   accelerator_for( ss, sites, nsimd,{
@@ -381,9 +375,44 @@ axpby_norm_fast(Lattice<vobj> &z,sobj a,sobj b,const Lattice<vobj> &x,const Latt
       coalescedWrite(inner_tmp_v[ss],innerProduct(tmp,tmp));
       coalescedWrite(z_v[ss],tmp);
   });
-  nrm = real(TensorRemove(sumD(inner_tmp_v,sites)));
+  bool ok;
+#ifdef GRID_SYCL
+  uint64_t csum=0;
+  uint64_t csum2=0;
+  if ( FlightRecorder::LoggingMode != FlightRecorder::LoggingModeNone)
+  {
+    // z_v
+    {
+      Integer words = sites*sizeof(vobj)/sizeof(uint64_t);
+      uint64_t *base= (uint64_t *)&z_v[0];
+      csum=svm_xor(base,words);
+      ok = FlightRecorder::CsumLog(csum);
+      if ( !ok ) {
+	csum2=svm_xor(base,words);
+	std::cerr<< " Bad z_v CSUM " << std::hex<< csum << " recomputed as "<<csum2<<std::dec<<std::endl;
+      }
+      assert(ok);
+    }
+    // inner_v
+    {
+      Integer words = sites*sizeof(inner_t)/sizeof(uint64_t);
+      uint64_t *base= (uint64_t *)&inner_tmp_v[0];
+      csum=svm_xor(base,words);
+      ok = FlightRecorder::CsumLog(csum);
+      if ( !ok ) {
+	csum2=svm_xor(base,words);
+	std::cerr<< " Bad inner_tmp_v CSUM " << std::hex<< csum << " recomputed as "<<csum2<<std::dec<<std::endl;
+      }
+      assert(ok);
+    }
+  }
 #endif
+  nrm = real(TensorRemove(sumD(inner_tmp_v,sites)));
+  ok = FlightRecorder::NormLog(real(nrm));
+  assert(ok);
+  RealD local = real(nrm);
   grid->GlobalSum(nrm);
+  FlightRecorder::ReductionLog(local,real(nrm));
   return nrm; 
 }
  
@@ -393,7 +422,7 @@ innerProductNorm(ComplexD& ip, RealD &nrm, const Lattice<vobj> &left,const Latti
   conformable(left,right);
 
   typedef typename vobj::vector_typeD vector_type;
-  Vector<ComplexD> tmp(2);
+  std::vector<ComplexD> tmp(2);
 
   GridBase *grid = left.Grid();
 
@@ -403,8 +432,8 @@ innerProductNorm(ComplexD& ip, RealD &nrm, const Lattice<vobj> &left,const Latti
   // GPU
   typedef decltype(innerProductD(vobj(),vobj())) inner_t;
   typedef decltype(innerProductD(vobj(),vobj())) norm_t;
-  Vector<inner_t> inner_tmp(sites);
+  deviceVector<inner_t> inner_tmp(sites);
-  Vector<norm_t>  norm_tmp(sites);
+  deviceVector<norm_t>  norm_tmp(sites);
   auto inner_tmp_v = &inner_tmp[0];
   auto norm_tmp_v = &norm_tmp[0];
   {
@@ -454,7 +483,9 @@ inline auto sum(const LatticeTrinaryExpression<Op,T1,T2,T3> & expr)
 // sliceSum, sliceInnerProduct, sliceAxpy, sliceNorm etc...
 //////////////////////////////////////////////////////////////////////////////////////////////////////////////
 
-template<class vobj> inline void sliceSum(const Lattice<vobj> &Data,std::vector<typename vobj::scalar_object> &result,int orthogdim)
+template<class vobj> inline void sliceSum(const Lattice<vobj> &Data,
+					  std::vector<typename vobj::scalar_object> &result,
+					  int orthogdim)
 {
   ///////////////////////////////////////////////////////
   // FIXME precision promoted summation
@@ -476,8 +507,8 @@ template<class vobj> inline void sliceSum(const Lattice<vobj> &Data,std::vector<
   int ld=grid->_ldimensions[orthogdim];
   int rd=grid->_rdimensions[orthogdim];
 
-  Vector<vobj> lvSum(rd); // will locally sum vectors first
+  std::vector<vobj> lvSum(rd); // will locally sum vectors first
-  Vector<sobj> lsSum(ld,Zero());                    // sum across these down to scalars
+  std::vector<sobj> lsSum(ld,Zero());                    // sum across these down to scalars
   ExtractBuffer<sobj> extracted(Nsimd);                  // splitting the SIMD
 
   result.resize(fd); // And then global sum to return the same vector to every node 
@@ -525,6 +556,8 @@ template<class vobj> inline void sliceSum(const Lattice<vobj> &Data,std::vector<
   scalar_type * ptr = (scalar_type *) &result[0];
   int words = fd*sizeof(sobj)/sizeof(scalar_type);
   grid->GlobalSumVector(ptr, words);
+  //  std::cout << GridLogMessage << " sliceSum local"<<t_sum<<" us, host+mpi "<<t_rest<<std::endl;
+  
 }
 template<class vobj> inline
 std::vector<typename vobj::scalar_object> 
@@ -535,7 +568,20 @@ sliceSum(const Lattice<vobj> &Data,int orthogdim)
   return result;
 }
 
+/*
+Reimplement
 
+1)
+template<class vobj>
+static void sliceMaddMatrix (Lattice<vobj> &R,Eigen::MatrixXcd &aa,const Lattice<vobj> &X,const Lattice<vobj> &Y,int Orthog,RealD scale=1.0) 
+
+2)
+template<class vobj>
+static void sliceInnerProductMatrix(  Eigen::MatrixXcd &mat, const Lattice<vobj> &lhs,const Lattice<vobj> &rhs,int Orthog) 
+
+3)
+-- Make Slice Mul Matrix call sliceMaddMatrix
+ */
 template<class vobj>
 static void sliceInnerProductVector( std::vector<ComplexD> & result, const Lattice<vobj> &lhs,const Lattice<vobj> &rhs,int orthogdim) 
 {
@@ -555,8 +601,8 @@ static void sliceInnerProductVector( std::vector<ComplexD> & result, const Latti
   int ld=grid->_ldimensions[orthogdim];
   int rd=grid->_rdimensions[orthogdim];
 
-  Vector<vector_type> lvSum(rd); // will locally sum vectors first
+  std::vector<vector_type> lvSum(rd); // will locally sum vectors first
-  Vector<scalar_type > lsSum(ld,scalar_type(0.0));                    // sum across these down to scalars
+  std::vector<scalar_type > lsSum(ld,scalar_type(0.0));                    // sum across these down to scalars
   ExtractBuffer<iScalar<scalar_type> > extracted(Nsimd);   // splitting the SIMD  
 
   result.resize(fd); // And then global sum to return the same vector to every node for IO to file
@@ -686,203 +732,96 @@ static void sliceMaddVector(Lattice<vobj> &R,std::vector<RealD> &a,const Lattice
   }
 };
 
-/*
 inline GridBase         *makeSubSliceGrid(const GridBase *BlockSolverGrid,int Orthog)
 {
   int NN    = BlockSolverGrid->_ndimension;
   int nsimd = BlockSolverGrid->Nsimd();
   
-  std::vector<int> latt_phys(0);
+  std::vector<int> latt_phys(NN-1);
-  std::vector<int> simd_phys(0);
+  Coordinate simd_phys;
-  std::vector<int>  mpi_phys(0);
+  std::vector<int>  mpi_phys(NN-1);
+  Coordinate checker_dim_mask(NN-1);
+  int checker_dim=-1;
 
+  int dd;
   for(int d=0;d<NN;d++){
     if( d!=Orthog ) { 
-      latt_phys.push_back(BlockSolverGrid->_fdimensions[d]);
+      latt_phys[dd]=BlockSolverGrid->_fdimensions[d];
-      simd_phys.push_back(BlockSolverGrid->_simd_layout[d]);
+      mpi_phys[dd] =BlockSolverGrid->_processors[d];
-      mpi_phys.push_back(BlockSolverGrid->_processors[d]);
+      checker_dim_mask[dd] = BlockSolverGrid->_checker_dim_mask[d];
+      if ( d == BlockSolverGrid->_checker_dim ) checker_dim = dd;
+      dd++;
     }
   }
-  return (GridBase *)new GridCartesian(latt_phys,simd_phys,mpi_phys); 
+  simd_phys=GridDefaultSimd(latt_phys.size(),nsimd);
+  GridCartesian *tmp         = new GridCartesian(latt_phys,simd_phys,mpi_phys);
+  if(BlockSolverGrid->_isCheckerBoarded) {
+    GridRedBlackCartesian *ret = new GridRedBlackCartesian(tmp,checker_dim_mask,checker_dim);
+    delete tmp;
+    return (GridBase *) ret;
+  } else { 
+    return (GridBase *) tmp;
+  }
 }
-*/
 
 template<class vobj>
 static void sliceMaddMatrix (Lattice<vobj> &R,Eigen::MatrixXcd &aa,const Lattice<vobj> &X,const Lattice<vobj> &Y,int Orthog,RealD scale=1.0) 
 {    
+  GridBase *FullGrid = X.Grid();
+  GridBase *SliceGrid = makeSubSliceGrid(FullGrid,Orthog);
+
+  Lattice<vobj> Ys(SliceGrid);
+  Lattice<vobj> Rs(SliceGrid);
+  Lattice<vobj> Xs(SliceGrid);
+  Lattice<vobj> RR(FullGrid);
+
+  RR = R; // Copies checkerboard for insert
+  
   typedef typename vobj::scalar_object sobj;
   typedef typename vobj::vector_type vector_type;
-
+  int Nslice = X.Grid()->GlobalDimensions()[Orthog];
-  int Nblock = X.Grid()->GlobalDimensions()[Orthog];
+  for(int i=0;i<Nslice;i++){
-
+    ExtractSlice(Ys,Y,i,Orthog);
-  GridBase *FullGrid  = X.Grid();
+    ExtractSlice(Rs,R,i,Orthog);
-  //  GridBase *SliceGrid = makeSubSliceGrid(FullGrid,Orthog);
+    Rs=Ys;
-
+    for(int j=0;j<Nslice;j++){
-  //  Lattice<vobj> Xslice(SliceGrid);
+      ExtractSlice(Xs,X,j,Orthog);
-  //  Lattice<vobj> Rslice(SliceGrid);
+      Rs = Rs + Xs*(scale*aa(j,i));
-
-  assert( FullGrid->_simd_layout[Orthog]==1);
-  //  int nh =  FullGrid->_ndimension;
-  //  int nl = SliceGrid->_ndimension;
-  //  int nl = nh-1;
-
-  //FIXME package in a convenient iterator
-  //Should loop over a plane orthogonal to direction "Orthog"
-  int stride=FullGrid->_slice_stride[Orthog];
-  int block =FullGrid->_slice_block [Orthog];
-  int nblock=FullGrid->_slice_nblock[Orthog];
-  int ostride=FullGrid->_ostride[Orthog];
-
-  autoView( X_v, X, CpuRead);
-  autoView( Y_v, Y, CpuRead);
-  autoView( R_v, R, CpuWrite);
-  thread_region
-  {
-    Vector<vobj> s_x(Nblock);
-
-    thread_for_collapse_in_region(2, n,nblock, {
-     for(int b=0;b<block;b++){
-      int o  = n*stride + b;
-
-      for(int i=0;i<Nblock;i++){
-	s_x[i] = X_v[o+i*ostride];
     }
-
+    InsertSlice(Rs,RR,i,Orthog);
-      vobj dot;
-      for(int i=0;i<Nblock;i++){
-	dot = Y_v[o+i*ostride];
-	for(int j=0;j<Nblock;j++){
-	  dot = dot + s_x[j]*(scale*aa(j,i));
-	}
-	R_v[o+i*ostride]=dot;
-      }
-    }});
   }
+  R=RR; // Copy back handles arguments aliasing case
+  delete SliceGrid;
 };
 
 template<class vobj>
 static void sliceMulMatrix (Lattice<vobj> &R,Eigen::MatrixXcd &aa,const Lattice<vobj> &X,int Orthog,RealD scale=1.0)
 {
-  typedef typename vobj::scalar_object sobj;
+  R=Zero();
-  typedef typename vobj::vector_type vector_type;
+  sliceMaddMatrix(R,aa,X,R,Orthog,scale);
-
-  int Nblock = X.Grid()->GlobalDimensions()[Orthog];
-
-  GridBase *FullGrid  = X.Grid();
-  //  GridBase *SliceGrid = makeSubSliceGrid(FullGrid,Orthog);
-  //  Lattice<vobj> Xslice(SliceGrid);
-  //  Lattice<vobj> Rslice(SliceGrid);
-
-  assert( FullGrid->_simd_layout[Orthog]==1);
-  //  int nh =  FullGrid->_ndimension;
-  //  int nl = SliceGrid->_ndimension;
-  //  int nl=1;
-
-  //FIXME package in a convenient iterator
-  // thread_for2d_in_region
-  //Should loop over a plane orthogonal to direction "Orthog"
-  int stride=FullGrid->_slice_stride[Orthog];
-  int block =FullGrid->_slice_block [Orthog];
-  int nblock=FullGrid->_slice_nblock[Orthog];
-  int ostride=FullGrid->_ostride[Orthog];
-  autoView( R_v, R, CpuWrite);
-  autoView( X_v, X, CpuRead);
-  thread_region
-  {
-    std::vector<vobj> s_x(Nblock);
-
-
-    thread_for_collapse_in_region( 2 ,n,nblock,{
-    for(int b=0;b<block;b++){
-      int o  = n*stride + b;
-
-      for(int i=0;i<Nblock;i++){
-	s_x[i] = X_v[o+i*ostride];
-      }
-
-      vobj dot;
-      for(int i=0;i<Nblock;i++){
-	dot = s_x[0]*(scale*aa(0,i));
-	for(int j=1;j<Nblock;j++){
-	  dot = dot + s_x[j]*(scale*aa(j,i));
-	}
-	R_v[o+i*ostride]=dot;
-      }
-    }});
-  }
 };
 
 
 template<class vobj>
 static void sliceInnerProductMatrix(  Eigen::MatrixXcd &mat, const Lattice<vobj> &lhs,const Lattice<vobj> &rhs,int Orthog) 
 {
+  GridBase *SliceGrid = makeSubSliceGrid(lhs.Grid(),Orthog);
+
+  Lattice<vobj> ls(SliceGrid);
+  Lattice<vobj> rs(SliceGrid);
+  
   typedef typename vobj::scalar_object sobj;
   typedef typename vobj::vector_type vector_type;
-  
+  int Nslice = lhs.Grid()->GlobalDimensions()[Orthog];
-  GridBase *FullGrid  = lhs.Grid();
+  mat = Eigen::MatrixXcd::Zero(Nslice,Nslice);
-  //  GridBase *SliceGrid = makeSubSliceGrid(FullGrid,Orthog);
+  for(int s=0;s<Nslice;s++){
-  
+    ExtractSlice(ls,lhs,s,Orthog);
-  int Nblock = FullGrid->GlobalDimensions()[Orthog];
+    for(int ss=0;ss<Nslice;ss++){
-  
+      ExtractSlice(rs,rhs,ss,Orthog);
-  //  Lattice<vobj> Lslice(SliceGrid);
+      mat(s,ss) = innerProduct(ls,rs);
-  //  Lattice<vobj> Rslice(SliceGrid);
-  
-  mat = Eigen::MatrixXcd::Zero(Nblock,Nblock);
-
-  assert( FullGrid->_simd_layout[Orthog]==1);
-  //  int nh =  FullGrid->_ndimension;
-  //  int nl = SliceGrid->_ndimension;
-  //  int nl = nh-1;
-
-  //FIXME package in a convenient iterator
-  //Should loop over a plane orthogonal to direction "Orthog"
-  int stride=FullGrid->_slice_stride[Orthog];
-  int block =FullGrid->_slice_block [Orthog];
-  int nblock=FullGrid->_slice_nblock[Orthog];
-  int ostride=FullGrid->_ostride[Orthog];
-
-  typedef typename vobj::vector_typeD vector_typeD;
-
-  autoView( lhs_v, lhs, CpuRead);
-  autoView( rhs_v, rhs, CpuRead);
-  thread_region
-  {
-    std::vector<vobj> Left(Nblock);
-    std::vector<vobj> Right(Nblock);
-    Eigen::MatrixXcd  mat_thread = Eigen::MatrixXcd::Zero(Nblock,Nblock);
-
-    thread_for_collapse_in_region( 2, n,nblock,{
-    for(int b=0;b<block;b++){
-
-      int o  = n*stride + b;
-
-      for(int i=0;i<Nblock;i++){
-	Left [i] = lhs_v[o+i*ostride];
-	Right[i] = rhs_v[o+i*ostride];
-      }
-
-      for(int i=0;i<Nblock;i++){
-      for(int j=0;j<Nblock;j++){
-	auto tmp = innerProduct(Left[i],Right[j]);
-	auto rtmp = TensorRemove(tmp);
-	auto red  =  Reduce(rtmp);
-	mat_thread(i,j) += std::complex<double>(real(red),imag(red));
-      }}
-    }});
-    thread_critical
-    {
-      mat += mat_thread;
     }
   }
-
+  delete SliceGrid;
-  for(int i=0;i<Nblock;i++){
-  for(int j=0;j<Nblock;j++){
-    ComplexD sum = mat(i,j);
-    FullGrid->GlobalSum(sum);
-    mat(i,j)=sum;
-  }}
-
-  return;
 }
 
 NAMESPACE_END(Grid);

Grid/lattice/Lattice_reduction_gpu.h

@@ -214,22 +214,12 @@ inline typename vobj::scalar_objectD sumD_gpu_small(const vobj *lat, Integer osi
   // Move out of UVM
   // Turns out I had messed up the synchronise after move to compute stream
   // as running this on the default stream fools the synchronise
-#undef UVM_BLOCK_BUFFER  
+  deviceVector<sobj> buffer(numBlocks);
-#ifndef UVM_BLOCK_BUFFER  
-  commVector<sobj> buffer(numBlocks);
   sobj *buffer_v = &buffer[0];
   sobj result;
   reduceKernel<<< numBlocks, numThreads, smemSize, computeStream >>>(lat, buffer_v, size);
   accelerator_barrier();
   acceleratorCopyFromDevice(buffer_v,&result,sizeof(result));
-#else
-  Vector<sobj> buffer(numBlocks);
-  sobj *buffer_v = &buffer[0];
-  sobj result;
-  reduceKernel<<< numBlocks, numThreads, smemSize, computeStream >>>(lat, buffer_v, size);
-  accelerator_barrier();
-  result = *buffer_v;
-#endif
   return result;
 }
 
@@ -244,7 +234,7 @@ inline typename vobj::scalar_objectD sumD_gpu_large(const vobj *lat, Integer osi
   
   const int words = sizeof(vobj)/sizeof(vector);
 
-  Vector<vector> buffer(osites);
+  deviceVector<vector> buffer(osites);
   vector *dat = (vector *)lat;
   vector *buf = &buffer[0];
   iScalar<vector> *tbuf =(iScalar<vector> *)  &buffer[0];

Grid/lattice/Lattice_reduction_sycl.h

@@ -4,32 +4,28 @@ NAMESPACE_BEGIN(Grid);
 // Possibly promote to double and sum
 /////////////////////////////////////////////////////////////////////////////////////////////////////////
 
+
 template <class vobj>
 inline typename vobj::scalar_objectD sumD_gpu_tensor(const vobj *lat, Integer osites) 
 {
   typedef typename vobj::scalar_object sobj;
   typedef typename vobj::scalar_objectD sobjD;
-  static Vector<sobj> mysum;
+
-  mysum.resize(1);
-  sobj *mysum_p = & mysum[0];
   sobj identity; zeroit(identity);
-  sobj ret ; 
+  sobj ret; zeroit(ret);
-
   Integer nsimd= vobj::Nsimd();
-
+  { 
-  const cl::sycl::property_list PropList ({ cl::sycl::property::reduction::initialize_to_identity() });
+    sycl::buffer<sobj, 1> abuff(&ret, {1});
-  theGridAccelerator->submit([&](cl::sycl::handler &cgh) {
+    theGridAccelerator->submit([&](sycl::handler &cgh) {
-    auto Reduction = cl::sycl::reduction(mysum_p,identity,std::plus<>(),PropList);
+      auto Reduction = sycl::reduction(abuff,cgh,identity,std::plus<>());
-     cgh.parallel_for(cl::sycl::range<1>{osites},
+      cgh.parallel_for(sycl::range<1>{osites},
                       Reduction,
-		      [=] (cl::sycl::id<1> item, auto &sum) {
+                      [=] (sycl::id<1> item, auto &sum) {
                         auto osite   = item[0];
                         sum +=Reduce(lat[osite]);
                       });
     });
-  theGridAccelerator->wait();
+  }
-  ret = mysum[0];
-  //  free(mysum,*theGridAccelerator);
   sobjD dret; convertType(dret,ret);
   return dret;
 }
@@ -75,58 +71,22 @@ inline typename vobj::scalar_object sum_gpu_large(const vobj *lat, Integer osite
 
 template<class Word> Word svm_xor(Word *vec,uint64_t L)
 {
-  Word xorResult; xorResult = 0;
-  static Vector<Word> d_sum;
-  d_sum.resize(1);
-  Word *d_sum_p=&d_sum[0];
   Word identity;  identity=0;
-  const cl::sycl::property_list PropList ({ cl::sycl::property::reduction::initialize_to_identity() });
+  Word ret = 0;
-  theGridAccelerator->submit([&](cl::sycl::handler &cgh) {
+  { 
-    auto Reduction = cl::sycl::reduction(d_sum_p,identity,std::bit_xor<>(),PropList);
+    sycl::buffer<Word, 1> abuff(&ret, {1});
-     cgh.parallel_for(cl::sycl::range<1>{L},
+    theGridAccelerator->submit([&](sycl::handler &cgh) {
+      auto Reduction = sycl::reduction(abuff,cgh,identity,std::bit_xor<>());
+      cgh.parallel_for(sycl::range<1>{L},
                       Reduction,
-		      [=] (cl::sycl::id<1> index, auto &sum) {
+                      [=] (sycl::id<1> index, auto &sum) {
                         sum ^=vec[index];
                       });
     });
+  }
   theGridAccelerator->wait();
-  Word ret = d_sum[0];
-  //  free(d_sum,*theGridAccelerator);
   return ret;
 }
 
 NAMESPACE_END(Grid);
 
-/*
-
-template <class vobj>
-inline typename vobj::scalar_objectD sumD_gpu_repack(const vobj *lat, Integer osites)
-{
-  typedef typename vobj::vector_type  vector;
-  typedef typename vobj::scalar_type  scalar;
-
-  typedef typename vobj::scalar_typeD scalarD;
-  typedef typename vobj::scalar_objectD sobjD;
-
-  sobjD ret;
-  scalarD *ret_p = (scalarD *)&ret;
-  
-  const int nsimd = vobj::Nsimd();
-  const int words = sizeof(vobj)/sizeof(vector);
-
-  Vector<scalar> buffer(osites*nsimd);
-  scalar *buf = &buffer[0];
-  vector *dat = (vector *)lat;
-
-  for(int w=0;w<words;w++) {
-
-    accelerator_for(ss,osites,nsimd,{
-	int lane = acceleratorSIMTlane(nsimd);
-	buf[ss*nsimd+lane] = dat[ss*words+w].getlane(lane);
-    });
-    //Precision change at this point is to late to gain precision
-    ret_p[w] = svm_reduce(buf,nsimd*osites);
-  }
-  return ret;
-}
-*/

Grid/lattice/Lattice_rng.h

@@ -47,6 +47,19 @@ NAMESPACE_BEGIN(Grid);
 // Allow the RNG state to be less dense than the fine grid
 //////////////////////////////////////////////////////////////
 inline int RNGfillable(GridBase *coarse,GridBase *fine)
+{
+  if ( coarse == fine ) return 1;
+
+  if ( coarse->isIcosahedral()) assert(coarse->isIcosahedralEdge());
+  
+  if ( fine->isIcosahedralVertex() && coarse->isIcosahedralEdge() ) {
+    assert(fine->Nd()==coarse->Nd());
+    for(int d=0;d<fine->Nd();d++){
+      assert(fine->LocalDimensions()[d] == coarse->LocalDimensions()[d]);
+    }
+    return 1;
+  }
+    
   {
     
     int rngdims = coarse->_ndimension;
@@ -74,12 +87,26 @@ inline int RNGfillable(GridBase *coarse,GridBase *fine)
     }
     return multiplicity;
   }
+}
 
   
 // merge of April 11 2017
 // this function is necessary for the LS vectorised field
 inline int RNGfillable_general(GridBase *coarse,GridBase *fine)
 {
+
+  if ( coarse == fine ) return 1;
+
+  if ( coarse->isIcosahedral()) assert(coarse->isIcosahedralEdge());
+  
+  if ( fine->isIcosahedralVertex() && coarse->isIcosahedralEdge() ) {
+    assert(fine->Nd()==coarse->Nd());
+    for(int d=0;d<fine->Nd();d++){
+      assert(fine->LocalDimensions()[d] == coarse->LocalDimensions()[d]);
+    }
+    return 1;
+  }
+
   int rngdims = coarse->_ndimension;
     
   // trivially extended in higher dims, with locality guaranteeing RNG state is local to node
@@ -352,12 +379,12 @@ private:
 public:
   GridBase *Grid(void) const { return _grid; }
   int generator_idx(int os,int is) {
-    return is*_grid->oSites()+os;
+    return (is*_grid->CartesianOsites()+os)%_grid->lSites(); // On the pole sites wrap back to normal generators; Icosahedral hack
   }
 
   GridParallelRNG(GridBase *grid) : GridRNGbase() {
     _grid = grid;
-    _vol  =_grid->iSites()*_grid->oSites();
+    _vol  =_grid->lSites();
 
     _generators.resize(_vol);
     _uniform.resize(_vol,std::uniform_real_distribution<RealD>{0,1});
@@ -381,7 +408,7 @@ public:
 
     int multiplicity = RNGfillable_general(_grid, l.Grid()); // l has finer or same grid
     int Nsimd  = _grid->Nsimd();  // guaranteed to be the same for l.Grid() too
-    int osites = _grid->oSites();  // guaranteed to be <= l.Grid()->oSites() by a factor multiplicity
+    int osites = _grid->CartesianOsites();  // guaranteed to be <= l.Grid()->oSites() by a factor multiplicity, except on Icosahedral
     int words  = sizeof(scalar_object) / sizeof(scalar_type);
 
     autoView(l_v, l, CpuWrite);
@@ -403,7 +430,26 @@ public:
 	merge(l_v[sm], buf);
       }
     });
-    //    });
+
+    /*
+     * Fill in the poles for an Icosahedral vertex mesh
+     */
+    if (l.Grid()->isIcosahedralVertex()) { 
+      int64_t pole_sites=l.Grid()->NorthPoleOsites()+l.Grid()->SouthPoleOsites();
+      int64_t pole_base =l.Grid()->CartesianOsites();
+
+      ExtractBuffer<scalar_object> buf(Nsimd);
+      for (int m = 0; m < pole_sites; m++) {  // Draw from same generator multiplicity times                                                                                                           
+        for (int si = 0; si < Nsimd; si++) {
+          int gdx = 0;
+	  scalar_type *pointer = (scalar_type *)&buf[si];
+          dist[gdx].reset();
+          for (int idx = 0; idx < words; idx++)
+            fillScalar(pointer[idx], dist[gdx], _generators[gdx]);
+        }
+        merge(l_v[pole_base+m], buf);
+      }      
+    }
 
     _time_counter += usecond()- inner_time_counter;
   }

Grid/lattice/Lattice_slicesum_core.h

@@ -21,9 +21,18 @@ NAMESPACE_BEGIN(Grid);
 
 
 #if defined(GRID_CUDA) || defined(GRID_HIP)
-template<class vobj> inline void sliceSumReduction_cub_small(const vobj *Data, Vector<vobj> &lvSum, const int rd, const int e1, const int e2, const int stride, const int ostride, const int Nsimd) {
+template<class vobj>
+inline void sliceSumReduction_cub_small(const vobj *Data,
+					std::vector<vobj> &lvSum,
+					const int rd,
+					const int e1,
+					const int e2,
+					const int stride,
+					const int ostride,
+					const int Nsimd)
+{
   size_t subvol_size = e1*e2;
-  commVector<vobj> reduction_buffer(rd*subvol_size);
+  deviceVector<vobj> reduction_buffer(rd*subvol_size);
   auto rb_p = &reduction_buffer[0];
   vobj zero_init;
   zeroit(zero_init);
@@ -46,7 +55,7 @@ template<class vobj> inline void sliceSumReduction_cub_small(const vobj *Data, V
   d_offsets = static_cast<int*>(acceleratorAllocDevice((rd+1)*sizeof(int)));
   
   //copy offsets to device
-  acceleratorCopyToDeviceAsync(&offsets[0],d_offsets,sizeof(int)*(rd+1),computeStream);
+  acceleratorCopyToDeviceAsynch(&offsets[0],d_offsets,sizeof(int)*(rd+1),computeStream);
   
   
   gpuError_t gpuErr = gpucub::DeviceSegmentedReduce::Reduce(temp_storage_array, temp_storage_bytes, rb_p,d_out, rd, d_offsets, d_offsets+1, ::gpucub::Sum(), zero_init, computeStream);
@@ -79,7 +88,7 @@ template<class vobj> inline void sliceSumReduction_cub_small(const vobj *Data, V
     exit(EXIT_FAILURE);
   }
   
-  acceleratorCopyFromDeviceAsync(d_out,&lvSum[0],rd*sizeof(vobj),computeStream);
+  acceleratorCopyFromDeviceAsynch(d_out,&lvSum[0],rd*sizeof(vobj),computeStream);
   
   //sync after copy
   accelerator_barrier();
@@ -94,7 +103,15 @@ template<class vobj> inline void sliceSumReduction_cub_small(const vobj *Data, V
 
 
 #if defined(GRID_SYCL)
-template<class vobj> inline void sliceSumReduction_sycl_small(const vobj *Data, Vector <vobj> &lvSum, const int  &rd, const int &e1, const int &e2, const int &stride, const int &ostride, const int &Nsimd)
+template<class vobj>
+inline void sliceSumReduction_sycl_small(const vobj *Data,
+					 std::vector <vobj> &lvSum,
+					 const int  &rd,
+					 const int &e1,
+					 const int &e2,
+					 const int &stride,
+					 const int &ostride,
+					 const int &Nsimd)
 {
   size_t subvol_size = e1*e2;
 
@@ -105,7 +122,7 @@ template<class vobj> inline void sliceSumReduction_sycl_small(const vobj *Data,
     mysum[r] = vobj_zero; 
   }
 
-  commVector<vobj> reduction_buffer(rd*subvol_size);    
+  deviceVector<vobj> reduction_buffer(rd*subvol_size);    
 
   auto rb_p = &reduction_buffer[0];
 
@@ -124,11 +141,11 @@ template<class vobj> inline void sliceSumReduction_sycl_small(const vobj *Data,
   });
 
   for (int r = 0; r < rd; r++) {
-      theGridAccelerator->submit([&](cl::sycl::handler &cgh) {
+      theGridAccelerator->submit([&](sycl::handler &cgh) {
-          auto Reduction = cl::sycl::reduction(&mysum[r],std::plus<>());
+          auto Reduction = sycl::reduction(&mysum[r],std::plus<>());
-          cgh.parallel_for(cl::sycl::range<1>{subvol_size},
+          cgh.parallel_for(sycl::range<1>{subvol_size},
           Reduction,
-          [=](cl::sycl::id<1> item, auto &sum) {
+          [=](sycl::id<1> item, auto &sum) {
               auto s = item[0];
               sum += rb_p[r*subvol_size+s];
           });
@@ -144,14 +161,23 @@ template<class vobj> inline void sliceSumReduction_sycl_small(const vobj *Data,
 }
 #endif
 
-template<class vobj> inline void sliceSumReduction_large(const vobj *Data, Vector<vobj> &lvSum, const int rd, const int e1, const int e2, const int stride, const int ostride, const int Nsimd) {
+template<class vobj>
+inline void sliceSumReduction_large(const vobj *Data,
+				    std::vector<vobj> &lvSum,
+				    const int rd,
+				    const int e1,
+				    const int e2,
+				    const int stride,
+				    const int ostride,
+				    const int Nsimd)
+{
   typedef typename vobj::vector_type vector;
   const int words = sizeof(vobj)/sizeof(vector);
   const int osites = rd*e1*e2;
-  commVector<vector>buffer(osites);
+  deviceVector<vector>buffer(osites);
   vector *dat = (vector *)Data;
   vector *buf = &buffer[0];
-  Vector<vector> lvSum_small(rd);
+  std::vector<vector> lvSum_small(rd);
   vector *lvSum_ptr = (vector *)&lvSum[0];
 
   for (int w = 0; w < words; w++) {
@@ -168,13 +194,18 @@ template<class vobj> inline void sliceSumReduction_large(const vobj *Data, Vecto
     for (int r = 0; r < rd; r++) {
       lvSum_ptr[w+words*r]=lvSum_small[r];
     }
-
+  }
 }
 
-  
+template<class vobj>
-}
+inline void sliceSumReduction_gpu(const Lattice<vobj> &Data,
-
+				  std::vector<vobj> &lvSum,
-template<class vobj> inline void sliceSumReduction_gpu(const Lattice<vobj> &Data, Vector<vobj> &lvSum, const int rd, const int e1, const int e2, const int stride, const int ostride, const int Nsimd)
+				  const int rd,
+				  const int e1,
+				  const int e2,
+				  const int stride,
+				  const int ostride,
+				  const int Nsimd)
 {
   autoView(Data_v, Data, AcceleratorRead); //reduction libraries cannot deal with large vobjs so we split into small/large case.
     if constexpr (sizeof(vobj) <= 256) { 
@@ -192,7 +223,15 @@ template<class vobj> inline void sliceSumReduction_gpu(const Lattice<vobj> &Data
 }
 
 
-template<class vobj> inline void sliceSumReduction_cpu(const Lattice<vobj> &Data, Vector<vobj> &lvSum, const int &rd, const int &e1, const int &e2, const int &stride, const int &ostride, const int &Nsimd)
+template<class vobj>
+inline void sliceSumReduction_cpu(const Lattice<vobj> &Data,
+				  std::vector<vobj> &lvSum,
+				  const int &rd,
+				  const int &e1,
+				  const int &e2,
+				  const int &stride,
+				  const int &ostride,
+				  const int &Nsimd)
 {
   // sum over reduced dimension planes, breaking out orthog dir
   // Parallel over orthog direction
@@ -208,15 +247,19 @@ template<class vobj> inline void sliceSumReduction_cpu(const Lattice<vobj> &Data
   });
 }
 
-template<class vobj> inline void sliceSumReduction(const Lattice<vobj> &Data, Vector<vobj> &lvSum, const int &rd, const int &e1, const int &e2, const int &stride, const int &ostride, const int &Nsimd) 
+template<class vobj> inline void sliceSumReduction(const Lattice<vobj> &Data,
+						   std::vector<vobj> &lvSum,
+						   const int &rd,
+						   const int &e1,
+						   const int &e2,
+						   const int &stride,
+						   const int &ostride,
+						   const int &Nsimd) 
 {
 #if defined(GRID_CUDA) || defined(GRID_HIP) || defined(GRID_SYCL)
-  
   sliceSumReduction_gpu(Data, lvSum, rd, e1, e2, stride, ostride, Nsimd);
-  
 #else
   sliceSumReduction_cpu(Data, lvSum, rd, e1, e2, stride, ostride, Nsimd);
-
 #endif
 }
 

Grid/lattice/Lattice_transfer.h

@@ -981,8 +981,14 @@ void InsertSlice(const Lattice<vobj> &lowDim,Lattice<vobj> & higherDim,int slice
     hcoor[orthog] = slice;
     for(int d=0;d<nh;d++){
       if ( d!=orthog ) { 
-	hcoor[d]=lcoor[ddl++];
+	hcoor[d]=lcoor[ddl];
+	if ( hg->_checker_dim == d ) {
+	  hcoor[d]=hcoor[d]*2; // factor in the full coor for peekLocalSite
+	  lcoor[ddl]=lcoor[ddl]*2; // factor in the full coor for peekLocalSite
 	}
+	ddl++;
+      }
+      
     }
     peekLocalSite(s,lowDimv,lcoor);
     pokeLocalSite(s,higherDimv,hcoor);
@@ -1003,6 +1009,7 @@ void ExtractSlice(Lattice<vobj> &lowDim,const Lattice<vobj> & higherDim,int slic
   assert(orthog<nh);
   assert(orthog>=0);
   assert(hg->_processors[orthog]==1);
+  lowDim.Checkerboard() = higherDim.Checkerboard();
 
   int dl; dl = 0;
   for(int d=0;d<nh;d++){
@@ -1020,11 +1027,16 @@ void ExtractSlice(Lattice<vobj> &lowDim,const Lattice<vobj> & higherDim,int slic
     Coordinate lcoor(nl);
     Coordinate hcoor(nh);
     lg->LocalIndexToLocalCoor(idx,lcoor);
-    int ddl=0;
     hcoor[orthog] = slice;
+    int ddl=0;
     for(int d=0;d<nh;d++){
       if ( d!=orthog ) { 
-	hcoor[d]=lcoor[ddl++];
+	hcoor[d]=lcoor[ddl];
+	if ( hg->_checker_dim == d ) {
+	  hcoor[d]=hcoor[d]*2;     // factor in the full gridd coor for peekLocalSite
+	  lcoor[ddl]=lcoor[ddl]*2; // factor in the full coor for peekLocalSite
+	}
+	ddl++;
       }
     }
     peekLocalSite(s,higherDimv,hcoor);

Grid/lattice/PaddedCell.h

@@ -54,7 +54,7 @@ struct CshiftImplGauge: public CshiftImplBase<typename Gimpl::GaugeLinkField::ve
  *
  */
 
-template<class vobj> inline void ScatterSlice(const cshiftVector<vobj> &buf,
+template<class vobj> inline void ScatterSlice(const deviceVector<vobj> &buf,
 					      Lattice<vobj> &lat,
 					      int x,
 					      int dim,
@@ -140,7 +140,7 @@ template<class vobj> inline void ScatterSlice(const cshiftVector<vobj> &buf,
   });
 }
 
-template<class vobj> inline void GatherSlice(cshiftVector<vobj> &buf,
+template<class vobj> inline void GatherSlice(deviceVector<vobj> &buf,
 					     const Lattice<vobj> &lat,
 					     int x,
 					     int dim,
@@ -462,13 +462,19 @@ public:
     int rNsimd = Nsimd / simd[dimension];
     assert( buffer_size == from.Grid()->_slice_nblock[dimension]*from.Grid()->_slice_block[dimension] / simd[dimension]);
 
-    static cshiftVector<vobj> send_buf; 
+    static deviceVector<vobj> send_buf; 
-    static cshiftVector<vobj> recv_buf;
+    static deviceVector<vobj> recv_buf;
     send_buf.resize(buffer_size*2*depth);    
     recv_buf.resize(buffer_size*2*depth);
+#ifndef ACCELERATOR_AWARE_MPI
+    static hostVector<vobj> hsend_buf; 
+    static hostVector<vobj> hrecv_buf;
+    hsend_buf.resize(buffer_size*2*depth);    
+    hrecv_buf.resize(buffer_size*2*depth);
+#endif    
 
-    std::vector<CommsRequest_t> fwd_req;   
+    std::vector<MpiCommsRequest_t> fwd_req;   
-    std::vector<CommsRequest_t> bwd_req;   
+    std::vector<MpiCommsRequest_t> bwd_req;   
 
     int words = buffer_size;
     int bytes = words * sizeof(vobj);
@@ -495,9 +501,16 @@ public:
       t_gather+=usecond()-t;
 
       t=usecond();
+#ifdef ACCELERATOR_AWARE_MPI
       grid->SendToRecvFromBegin(fwd_req,
 				(void *)&send_buf[d*buffer_size], xmit_to_rank,
 				(void *)&recv_buf[d*buffer_size], recv_from_rank, bytes, tag);
+#else
+      acceleratorCopyFromDevice(&send_buf[d*buffer_size],&hsend_buf[d*buffer_size],bytes);
+      grid->SendToRecvFromBegin(fwd_req,
+				(void *)&hsend_buf[d*buffer_size], xmit_to_rank,
+				(void *)&hrecv_buf[d*buffer_size], recv_from_rank, bytes, tag);
+#endif
       t_comms+=usecond()-t;
      }
     for ( int d=0;d < depth ; d ++ ) {
@@ -508,9 +521,16 @@ public:
       t_gather+= usecond() - t;
 
       t=usecond();
+#ifdef ACCELERATOR_AWARE_MPI
       grid->SendToRecvFromBegin(bwd_req,
 				(void *)&send_buf[(d+depth)*buffer_size], recv_from_rank,
 				(void *)&recv_buf[(d+depth)*buffer_size], xmit_to_rank, bytes,tag);
+#else
+      acceleratorCopyFromDevice(&send_buf[(d+depth)*buffer_size],&hsend_buf[(d+depth)*buffer_size],bytes);
+      grid->SendToRecvFromBegin(bwd_req,
+				(void *)&hsend_buf[(d+depth)*buffer_size], recv_from_rank,
+				(void *)&hrecv_buf[(d+depth)*buffer_size], xmit_to_rank, bytes,tag);
+#endif      
       t_comms+=usecond()-t;
     }
 
@@ -533,6 +553,11 @@ public:
 
     t=usecond();
     grid->CommsComplete(fwd_req);
+#ifndef ACCELERATOR_AWARE_MPI
+    for ( int d=0;d < depth ; d ++ ) {
+      acceleratorCopyToDevice(&hrecv_buf[d*buffer_size],&recv_buf[d*buffer_size],bytes);
+    }
+#endif
     t_comms+= usecond() - t;
     
     t=usecond();
@@ -543,6 +568,11 @@ public:
 
     t=usecond();
     grid->CommsComplete(bwd_req);
+#ifndef ACCELERATOR_AWARE_MPI
+    for ( int d=0;d < depth ; d ++ ) {
+      acceleratorCopyToDevice(&hrecv_buf[(d+depth)*buffer_size],&recv_buf[(d+depth)*buffer_size],bytes);
+    }
+#endif
     t_comms+= usecond() - t;
     
     t=usecond();

Grid/qcd/QCD.h

@@ -49,7 +49,7 @@ static constexpr int Tm = 7;
 
 static constexpr int Nc=Config_Nc;
 static constexpr int Ns=4;
-static constexpr int Nd=4;
+static constexpr int Nd=Config_Nd;
 static constexpr int Nhs=2; // half spinor
 static constexpr int Nds=8; // double stored gauge field
 static constexpr int Ngp=2; // gparity index range
@@ -75,6 +75,7 @@ static constexpr int InverseYes=1;
 //typename std::enable_if<matchGridTensorIndex<iVector<vtype,Ns>,SpinorIndex>::value,iVector<vtype,Ns> >::type *SFINAE;
 
 const int SpinorIndex = 2;
+const int PauliIndex  = 2; //TensorLevel counts from the bottom!
 template<typename T> struct isSpinor {
   static constexpr bool value = (SpinorIndex==T::TensorLevel);
 };

Grid/qcd/action/ActionBase.h

@@ -132,6 +132,10 @@ public:
 template <class GaugeField >
 class EmptyAction : public Action <GaugeField>
 {
+  using Action<GaugeField>::refresh;
+  using Action<GaugeField>::Sinitial;
+  using Action<GaugeField>::deriv;
+
   virtual void refresh(const GaugeField& U, GridSerialRNG &sRNG, GridParallelRNG& pRNG) { assert(0);}; // refresh pseudofermions
   virtual RealD S(const GaugeField& U) { return 0.0;};                             // evaluate the action
   virtual void deriv(const GaugeField& U, GaugeField& dSdU) { assert(0); };        // evaluate the action derivative

Grid/qcd/action/fermion/AbstractEOFAFermion.h

@@ -55,6 +55,11 @@ public:
   RealD alpha; // Mobius scale
   RealD k;     // EOFA normalization constant
 
+  // Device resident
+  deviceVector<Coeff_t> d_shift_coefficients;
+  deviceVector<Coeff_t> d_MooeeInv_shift_lc;
+  deviceVector<Coeff_t> d_MooeeInv_shift_norm;
+  
   virtual void Instantiatable(void) = 0;
 
   // EOFA-specific operations
@@ -92,6 +97,11 @@ public:
     this->k = this->alpha * (_mq3-_mq2) * std::pow(this->alpha+1.0,2*Ls) /
       ( std::pow(this->alpha+1.0,Ls) + _mq2*std::pow(this->alpha-1.0,Ls) ) /
       ( std::pow(this->alpha+1.0,Ls) + _mq3*std::pow(this->alpha-1.0,Ls) );
+    
+    d_shift_coefficients.resize(Ls);
+    d_MooeeInv_shift_lc.resize(Ls);
+    d_MooeeInv_shift_norm.resize(Ls);
+
   };
 };
 

Grid/qcd/action/fermion/CayleyFermion5D.h

@@ -90,16 +90,16 @@ public:
   void M5D(const FermionField &psi,
 	   const FermionField &phi,
 	   FermionField &chi,
-	   Vector<Coeff_t> &lower,
+	   std::vector<Coeff_t> &lower,
-	   Vector<Coeff_t> &diag,
+	   std::vector<Coeff_t> &diag,
-	   Vector<Coeff_t> &upper);
+	   std::vector<Coeff_t> &upper);
 
   void M5Ddag(const FermionField &psi,
 	      const FermionField &phi,
 	      FermionField &chi,
-	      Vector<Coeff_t> &lower,
+	      std::vector<Coeff_t> &lower,
-	      Vector<Coeff_t> &diag,
+	      std::vector<Coeff_t> &diag,
-	      Vector<Coeff_t> &upper);
+	      std::vector<Coeff_t> &upper);
 
   virtual void   Instantiatable(void)=0;
 
@@ -119,35 +119,51 @@ public:
   RealD mass_plus, mass_minus;
 
   // Save arguments to SetCoefficientsInternal
-  Vector<Coeff_t> _gamma;
+  std::vector<Coeff_t> _gamma;
   RealD                _zolo_hi;
   RealD                _b;
   RealD                _c;
 
+  // possible boost
+  std::vector<ComplexD> qmu;
+  void set_qmu(std::vector<ComplexD> _qmu) { qmu=_qmu; assert(qmu.size()==Nd);};
+  void addQmu(const FermionField &in, FermionField &out, int dag);
+  
   // Cayley form Moebius (tanh and zolotarev)
-  Vector<Coeff_t> omega;
+  std::vector<Coeff_t> omega;
-  Vector<Coeff_t> bs;    // S dependent coeffs
+  std::vector<Coeff_t> bs;    // S dependent coeffs
-  Vector<Coeff_t> cs;
+  std::vector<Coeff_t> cs;
-  Vector<Coeff_t> as;
+  std::vector<Coeff_t> as;
   // For preconditioning Cayley form
-  Vector<Coeff_t> bee;
+  std::vector<Coeff_t> bee;
-  Vector<Coeff_t> cee;
+  std::vector<Coeff_t> cee;
-  Vector<Coeff_t> aee;
+  std::vector<Coeff_t> aee;
-  Vector<Coeff_t> beo;
+  std::vector<Coeff_t> beo;
-  Vector<Coeff_t> ceo;
+  std::vector<Coeff_t> ceo;
-  Vector<Coeff_t> aeo;
+  std::vector<Coeff_t> aeo;
   // LDU factorisation of the eeoo matrix
-  Vector<Coeff_t> lee;
+  std::vector<Coeff_t> lee;
-  Vector<Coeff_t> leem;
+  std::vector<Coeff_t> leem;
-  Vector<Coeff_t> uee;
+  std::vector<Coeff_t> uee;
-  Vector<Coeff_t> ueem;
+  std::vector<Coeff_t> ueem;
-  Vector<Coeff_t> dee;
+  std::vector<Coeff_t> dee;
+
+  // Device memory
+  deviceVector<Coeff_t> d_diag;
+  deviceVector<Coeff_t> d_upper;
+  deviceVector<Coeff_t> d_lower;
+
+  deviceVector<Coeff_t> d_lee;
+  deviceVector<Coeff_t> d_dee;
+  deviceVector<Coeff_t> d_uee;
+  deviceVector<Coeff_t> d_leem;
+  deviceVector<Coeff_t> d_ueem;
 
   // Matrices of 5d ee inverse params
-  Vector<iSinglet<Simd> >  MatpInv;
+  //  std::vector<iSinglet<Simd> >  MatpInv;
-  Vector<iSinglet<Simd> >  MatmInv;
+  //  std::vector<iSinglet<Simd> >  MatmInv;
-  Vector<iSinglet<Simd> >  MatpInvDag;
+  //  std::vector<iSinglet<Simd> >  MatpInvDag;
-  Vector<iSinglet<Simd> >  MatmInvDag;
+  //  std::vector<iSinglet<Simd> >  MatmInvDag;
 
   ///////////////////////////////////////////////////////////////
   // Conserved current utilities
@@ -187,7 +203,7 @@ public:
 protected:
   virtual void SetCoefficientsZolotarev(RealD zolohi,Approx::zolotarev_data *zdata,RealD b,RealD c);
   virtual void SetCoefficientsTanh(Approx::zolotarev_data *zdata,RealD b,RealD c);
-  virtual void SetCoefficientsInternal(RealD zolo_hi,Vector<Coeff_t> & gamma,RealD b,RealD c);
+  virtual void SetCoefficientsInternal(RealD zolo_hi,std::vector<Coeff_t> & gamma,RealD b,RealD c);
 };
 
 NAMESPACE_END(Grid);

Grid/qcd/action/fermion/CompactWilsonCloverFermion5D.h

@@ -0,0 +1,196 @@
+/*************************************************************************************
+
+    Grid physics library, www.github.com/paboyle/Grid
+
+    Source file: ./lib/qcd/action/fermion/CompactWilsonCloverFermion5D.h
+
+    Copyright (C) 2020 - 2025
+
+    Author: Daniel Richtmann <daniel.richtmann@gmail.com>
+    Author: Nils Meyer <nils.meyer@ur.de>
+    Author: Christoph Lehner <christoph@lhnr.de>
+
+    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 */
+
+#pragma once
+
+#include <Grid/qcd/action/fermion/WilsonFermion5D.h>
+#include <Grid/qcd/action/fermion/WilsonCloverTypes.h>
+#include <Grid/qcd/action/fermion/WilsonCloverHelpers.h>
+#include <Grid/qcd/action/fermion/CloverHelpers.h>
+
+NAMESPACE_BEGIN(Grid);
+
+// see Grid/qcd/action/fermion/CompactWilsonCloverFermion.h for description
+
+template<class Impl, class CloverHelpers>
+class CompactWilsonCloverFermion5D : public WilsonFermion5D<Impl>,
+				     public WilsonCloverHelpers<Impl>,
+				     public CompactWilsonCloverHelpers<Impl> {
+  /////////////////////////////////////////////
+  // Sizes
+  /////////////////////////////////////////////
+
+public:
+
+  INHERIT_COMPACT_CLOVER_SIZES(Impl);
+
+  /////////////////////////////////////////////
+  // Type definitions
+  /////////////////////////////////////////////
+
+public:
+
+  INHERIT_IMPL_TYPES(Impl);
+  INHERIT_CLOVER_TYPES(Impl);
+  INHERIT_COMPACT_CLOVER_TYPES(Impl);
+
+  typedef WilsonFermion5D<Impl>            WilsonBase;
+  typedef WilsonCloverHelpers<Impl>        Helpers;
+  typedef CompactWilsonCloverHelpers<Impl> CompactHelpers;
+
+  /////////////////////////////////////////////
+  // Constructors
+  /////////////////////////////////////////////
+
+public:
+
+  CompactWilsonCloverFermion5D(GaugeField& _Umu,
+			       GridCartesian         &FiveDimGrid,
+			       GridRedBlackCartesian &FiveDimRedBlackGrid,
+			       GridCartesian         &FourDimGrid,
+			       GridRedBlackCartesian &FourDimRedBlackGrid,
+			       const RealD _mass,
+			       const RealD _csw_r = 0.0,
+			       const RealD _csw_t = 0.0,
+			       const RealD _cF = 1.0,
+			       const ImplParams& impl_p = ImplParams());
+
+  /////////////////////////////////////////////
+  // Member functions (implementing interface)
+  /////////////////////////////////////////////
+
+public:
+
+  virtual void Instantiatable() {};
+  int          ConstEE()     override { return 0; };
+  int          isTrivialEE() override { return 0; };
+
+  void Dhop(const FermionField& in, FermionField& out, int dag) override;
+
+  void DhopOE(const FermionField& in, FermionField& out, int dag) override;
+
+  void DhopEO(const FermionField& in, FermionField& out, int dag) override;
+
+  void DhopDir(const FermionField& in, FermionField& out, int dir, int disp) override;
+
+  void DhopDirAll(const FermionField& in, std::vector<FermionField>& out) /* override */;
+
+  void M(const FermionField& in, FermionField& out) override;
+
+  void Mdag(const FermionField& in, FermionField& out) override;
+
+  void Meooe(const FermionField& in, FermionField& out) override;
+
+  void MeooeDag(const FermionField& in, FermionField& out) override;
+
+  void Mooee(const FermionField& in, FermionField& out) override;
+
+  void MooeeDag(const FermionField& in, FermionField& out) override;
+
+  void MooeeInv(const FermionField& in, FermionField& out) override;
+
+  void MooeeInvDag(const FermionField& in, FermionField& out) override;
+
+  void Mdir(const FermionField& in, FermionField& out, int dir, int disp) override;
+
+  void MdirAll(const FermionField& in, std::vector<FermionField>& out) override;
+
+  void MDeriv(GaugeField& force, const FermionField& X, const FermionField& Y, int dag) override;
+
+  void MooDeriv(GaugeField& mat, const FermionField& U, const FermionField& V, int dag) override;
+
+  void MeeDeriv(GaugeField& mat, const FermionField& U, const FermionField& V, int dag) override;
+
+  /////////////////////////////////////////////
+  // Member functions (internals)
+  /////////////////////////////////////////////
+
+  void MooeeInternal(const FermionField&        in,
+                     FermionField&              out,
+                     const CloverDiagonalField& diagonal,
+                     const CloverTriangleField& triangle);
+
+  /////////////////////////////////////////////
+  // Helpers
+  /////////////////////////////////////////////
+
+  void ImportGauge(const GaugeField& _Umu) override;
+
+  /////////////////////////////////////////////
+  // Helpers
+  /////////////////////////////////////////////
+
+private:
+
+  template<class Field>
+  const MaskField* getCorrectMaskField(const Field &in) const {
+    if(in.Grid()->_isCheckerBoarded) {
+      if(in.Checkerboard() == Odd) {
+        return &this->BoundaryMaskOdd;
+      } else {
+        return &this->BoundaryMaskEven;
+      }
+    } else {
+      return &this->BoundaryMask;
+    }
+  }
+
+  template<class Field>
+  void ApplyBoundaryMask(Field& f) {
+    const MaskField* m = getCorrectMaskField(f); assert(m != nullptr);
+    assert(m != nullptr);
+    CompactHelpers::ApplyBoundaryMask(f, *m);
+  }
+
+  /////////////////////////////////////////////
+  // Member Data
+  /////////////////////////////////////////////
+
+public:
+
+  RealD csw_r;
+  RealD csw_t;
+  RealD cF;
+  int n_rhs;
+  
+  bool fixedBoundaries;
+
+  CloverDiagonalField Diagonal,    DiagonalEven,    DiagonalOdd;
+  CloverDiagonalField DiagonalInv, DiagonalInvEven, DiagonalInvOdd;
+
+  CloverTriangleField Triangle,    TriangleEven,    TriangleOdd;
+  CloverTriangleField TriangleInv, TriangleInvEven, TriangleInvOdd;
+
+  FermionField Tmp;
+
+  MaskField BoundaryMask, BoundaryMaskEven, BoundaryMaskOdd;
+};
+
+NAMESPACE_END(Grid);

Grid/qcd/action/fermion/ContinuedFractionFermion5D.h

@@ -60,6 +60,50 @@ public:
   //      virtual void   Instantiatable(void)=0;
   virtual void   Instantiatable(void) =0;
 
+  void FreePropagator(const FermionField &in,FermionField &out,RealD mass,std::vector<Complex> boundary, std::vector<double> twist)
+  {
+    std::cout << "Free Propagator for PartialFraction"<<std::endl;
+    FermionField in_k(in.Grid());
+    FermionField prop_k(in.Grid());
+    
+    FFT theFFT((GridCartesian *) in.Grid());
+
+    //phase for boundary condition
+    ComplexField coor(in.Grid());
+    ComplexField ph(in.Grid());  ph = Zero();
+    FermionField in_buf(in.Grid()); in_buf = Zero();
+    typedef typename Simd::scalar_type Scalar;
+    Scalar ci(0.0,1.0);
+    assert(twist.size() == Nd);//check that twist is Nd
+    assert(boundary.size() == Nd);//check that boundary conditions is Nd
+    int shift = 0;
+    for(unsigned int nu = 0; nu < Nd; nu++)
+      {
+	// Shift coordinate lattice index by 1 to account for 5th dimension.
+	LatticeCoordinate(coor, nu + shift);
+	double boundary_phase = ::acos(real(boundary[nu]));
+	ph = ph + boundary_phase*coor*((1./(in.Grid()->_fdimensions[nu+shift])));
+	//momenta for propagator shifted by twist+boundary
+	twist[nu] = twist[nu] + boundary_phase/((2.0*M_PI));
+      }
+    in_buf = exp(ci*ph*(-1.0))*in;
+
+    theFFT.FFT_all_dim(in_k,in,FFT::forward);
+    this->MomentumSpacePropagatorHw(prop_k,in_k,mass,twist);
+    theFFT.FFT_all_dim(out,prop_k,FFT::backward);
+    
+    //phase for boundary condition
+    out = out * exp(ci*ph);
+  };
+
+  virtual void FreePropagator(const FermionField &in,FermionField &out,RealD mass) {
+    std::vector<double> twist(Nd,0.0); //default: periodic boundarys in all directions
+    std::vector<Complex> boundary;
+    for(int i=0;i<Nd;i++) boundary.push_back(1);//default: periodic boundary conditions
+    FreePropagator(in,out,mass,boundary,twist);
+  };
+
+  
   // Efficient support for multigrid coarsening
   virtual void  Mdir (const FermionField &in, FermionField &out,int dir,int disp);
   virtual void  MdirAll(const FermionField &in, std::vector<FermionField> &out);
@@ -90,12 +134,12 @@ protected:
   RealD mass;
   RealD R;
   RealD ZoloHiInv;
-  Vector<double> Beta;
+  std::vector<double> Beta;
-  Vector<double> cc;;
+  std::vector<double> cc;;
-  Vector<double> cc_d;;
+  std::vector<double> cc_d;;
-  Vector<double> sqrt_cc;
+  std::vector<double> sqrt_cc;
-  Vector<double> See;
+  std::vector<double> See;
-  Vector<double> Aee;
+  std::vector<double> Aee;
 
 };
 

Grid/qcd/action/fermion/DomainWallEOFAFermion.h

@@ -69,10 +69,10 @@ public:
   // Instantiate different versions depending on Impl
   /////////////////////////////////////////////////////
   void M5D(const FermionField& psi, const FermionField& phi, FermionField& chi,
-	   Vector<Coeff_t>& lower, Vector<Coeff_t>& diag, Vector<Coeff_t>& upper);
+	   std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper);
 
   void M5Ddag(const FermionField& psi, const FermionField& phi, FermionField& chi,
-	      Vector<Coeff_t>& lower, Vector<Coeff_t>& diag, Vector<Coeff_t>& upper);
+	      std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper);
 
   virtual void RefreshShiftCoefficients(RealD new_shift);
 
@@ -83,7 +83,7 @@ public:
 			RealD _M5, const ImplParams& p=ImplParams());
 
 protected:
-  void SetCoefficientsInternal(RealD zolo_hi, Vector<Coeff_t>& gamma, RealD b, RealD c);
+  void SetCoefficientsInternal(RealD zolo_hi, std::vector<Coeff_t>& gamma, RealD b, RealD c);
 };
 
 NAMESPACE_END(Grid);

Grid/qcd/action/fermion/DomainWallVec5dImpl.h

@@ -123,10 +123,10 @@ public:
       GaugeGrid->LocalIndexToLocalCoor(lidx, lcoor);
       
       peekLocalSite(ScalarUmu, Umu_v, lcoor);
-      for (int mu = 0; mu < 4; mu++) ScalarUds(mu) = ScalarUmu(mu);
+      for (int mu = 0; mu < Nd; mu++) ScalarUds(mu) = ScalarUmu(mu);
       
       peekLocalSite(ScalarUmu, Uadj_v, lcoor);
-      for (int mu = 0; mu < 4; mu++) ScalarUds(mu + 4) = ScalarUmu(mu);
+      for (int mu = 0; mu < Nd; mu++) ScalarUds(mu + Nd) = ScalarUmu(mu);
       
       pokeLocalSite(ScalarUds, Uds_v, lcoor);
     });

Grid/qcd/action/fermion/Fermion.h

@@ -55,6 +55,7 @@ NAMESPACE_CHECK(Wilson);
 NAMESPACE_CHECK(WilsonTM);
 #include <Grid/qcd/action/fermion/WilsonCloverFermion.h> // 4d wilson clover fermions
 #include <Grid/qcd/action/fermion/CompactWilsonCloverFermion.h> // 4d compact wilson clover fermions
+#include <Grid/qcd/action/fermion/CompactWilsonCloverFermion5D.h> // 5d compact wilson clover fermions
 NAMESPACE_CHECK(WilsonClover);
 #include <Grid/qcd/action/fermion/WilsonFermion5D.h>     // 5d base used by all 5d overlap types
 NAMESPACE_CHECK(Wilson5D);
@@ -84,6 +85,15 @@ NAMESPACE_CHECK(DomainWall);
 #include <Grid/qcd/action/fermion/OverlapWilsonPartialFractionTanhFermion.h>
 #include <Grid/qcd/action/fermion/OverlapWilsonPartialFractionZolotarevFermion.h>
 NAMESPACE_CHECK(Overlap);
+
+
+///////////////////////////////////////////////////////////////////////////////
+// Two spin wilson fermion based
+///////////////////////////////////////////////////////////////////////////////
+
+#include <Grid/qcd/action/fermion/TwoSpinWilsonFermion3plus1D.h>
+NAMESPACE_CHECK(TwoSpinWilson);
+
 ///////////////////////////////////////////////////////////////////////////////
 // G5 herm -- this has to live in QCD since dirac matrix is not in the broader sector of code
 ///////////////////////////////////////////////////////////////////////////////
@@ -164,12 +174,17 @@ typedef WilsonClover<WilsonTwoIndexAntiSymmetricImplD> WilsonCloverTwoIndexAntiS
 
 // Compact Clover fermions
 template <typename WImpl> using CompactWilsonClover = CompactWilsonCloverFermion<WImpl, CompactCloverHelpers<WImpl>>;
+template <typename WImpl> using CompactWilsonClover5D = CompactWilsonCloverFermion5D<WImpl, CompactCloverHelpers<WImpl>>;
 template <typename WImpl> using CompactWilsonExpClover = CompactWilsonCloverFermion<WImpl, CompactExpCloverHelpers<WImpl>>;
 
 typedef CompactWilsonClover<WilsonImplD2> CompactWilsonCloverFermionD2;
 typedef CompactWilsonClover<WilsonImplF> CompactWilsonCloverFermionF;
 typedef CompactWilsonClover<WilsonImplD> CompactWilsonCloverFermionD;
 
+typedef CompactWilsonClover5D<WilsonImplD2> CompactWilsonCloverFermion5DD2;
+typedef CompactWilsonClover5D<WilsonImplF> CompactWilsonCloverFermion5DF;
+typedef CompactWilsonClover5D<WilsonImplD> CompactWilsonCloverFermion5DD;
+
 typedef CompactWilsonExpClover<WilsonImplD2> CompactWilsonExpCloverFermionD2;
 typedef CompactWilsonExpClover<WilsonImplF> CompactWilsonExpCloverFermionF;
 typedef CompactWilsonExpClover<WilsonImplD> CompactWilsonExpCloverFermionD;

Grid/qcd/action/fermion/FermionCore.h

@@ -43,6 +43,7 @@ NAMESPACE_CHECK(FermionOperatorImpl);
 NAMESPACE_CHECK(FermionOperator);
 #include <Grid/qcd/action/fermion/WilsonKernels.h>           //used by all wilson type fermions
 #include <Grid/qcd/action/fermion/StaggeredKernels.h>        //used by all wilson type fermions
+#include <Grid/qcd/action/fermion/TwoSpinWilsonKernels.h>    //used for 3D fermions, pauli in place of Dirac
 NAMESPACE_CHECK(Kernels);
 
 #endif

Grid/qcd/action/fermion/FermionOperatorImpl.h

@@ -180,6 +180,12 @@ NAMESPACE_CHECK(ImplGparityWilson);
 #include <Grid/qcd/action/fermion/StaggeredImpl.h> 
 NAMESPACE_CHECK(ImplStaggered);  
 
+/////////////////////////////////////////////////////////////////////////////
+// Two component spinor Wilson action for 3d / Boston
+/////////////////////////////////////////////////////////////////////////////
+#include <Grid/qcd/action/fermion/TwoSpinWilsonImpl.h> 
+NAMESPACE_CHECK(ImplTwoSpinWilson);  
+
 /////////////////////////////////////////////////////////////////////////////
 // Single flavour one component spinors with colour index. 5d vec
 /////////////////////////////////////////////////////////////////////////////

Grid/qcd/action/fermion/GparityWilsonImpl.h

@@ -274,7 +274,7 @@ public:
 	autoView( Uds_v , Uds, CpuWrite);
 	autoView( Utmp_v, Utmp, CpuWrite);
 	thread_foreach(ss,Utmp_v,{
-	    Uds_v[ss](0)(mu+4) = Utmp_v[ss]();
+	    Uds_v[ss](0)(mu+Nd) = Utmp_v[ss]();
 	  });
       }
       Utmp = Uconj;
@@ -286,7 +286,7 @@ public:
 	autoView( Uds_v , Uds, CpuWrite);
 	autoView( Utmp_v, Utmp, CpuWrite);
 	thread_foreach(ss,Utmp_v,{
-	    Uds_v[ss](1)(mu+4) = Utmp_v[ss]();
+	    Uds_v[ss](1)(mu+Nd) = Utmp_v[ss]();
         });
       }
     }
@@ -320,7 +320,7 @@ public:
       }
       
       Uconj = conjugate(*Upoke);
-      pokeGparityDoubledGaugeField(Uds, *Upoke, Uconj, mu + 4);
+      pokeGparityDoubledGaugeField(Uds, *Upoke, Uconj, mu + Nd);
     }
   }
       

Grid/qcd/action/fermion/ImprovedStaggeredFermion.h

@@ -36,6 +36,8 @@ public:
   static const std::vector<int> directions;
   static const std::vector<int> displacements;
   static const int npoint = 16;
+  static std::vector<int> MakeDirections(void);
+  static std::vector<int> MakeDisplacements(void);
 };
 
 template <class Impl>
@@ -102,11 +104,11 @@ public:
 		     GaugeField &mat, 
 		     const FermionField &A, const FermionField &B, int dag);
 
-  void DhopInternal(StencilImpl &st, LebesgueOrder &lo, DoubledGaugeField &U,DoubledGaugeField &UUU,
+  void DhopInternal(StencilImpl &st, DoubledGaugeField &U,DoubledGaugeField &UUU,
                     const FermionField &in, FermionField &out, int dag);
-  void DhopInternalSerialComms(StencilImpl &st, LebesgueOrder &lo, DoubledGaugeField &U,DoubledGaugeField &UUU,
+  void DhopInternalSerialComms(StencilImpl &st, DoubledGaugeField &U,DoubledGaugeField &UUU,
                     const FermionField &in, FermionField &out, int dag);
-  void DhopInternalOverlappedComms(StencilImpl &st, LebesgueOrder &lo, DoubledGaugeField &U,DoubledGaugeField &UUU,
+  void DhopInternalOverlappedComms(StencilImpl &st, DoubledGaugeField &U,DoubledGaugeField &UUU,
                     const FermionField &in, FermionField &out, int dag);
 
   //////////////////////////////////////////////////////////////////////////
@@ -164,8 +166,6 @@ public:
   DoubledGaugeField UUUmuEven;
   DoubledGaugeField UUUmuOdd;
 
-  LebesgueOrder Lebesgue;
-  LebesgueOrder LebesgueEvenOdd;
   
   ///////////////////////////////////////////////////////////////
   // Conserved current utilities

Grid/qcd/action/fermion/ImprovedStaggeredFermion5D.h

@@ -40,6 +40,8 @@ public:
   static const std::vector<int> directions;
   static const std::vector<int> displacements;
   const int npoint = 16;
+  static std::vector<int> MakeDirections(void);
+  static std::vector<int> MakeDisplacements(void);
 };
 
 template<class Impl>
@@ -100,7 +102,6 @@ public:
 		     int dag);
     
   void DhopInternal(StencilImpl & st,
-		    LebesgueOrder &lo,
 		    DoubledGaugeField &U,
 		    DoubledGaugeField &UUU,
 		    const FermionField &in, 
@@ -108,7 +109,6 @@ public:
 		    int dag);
     
     void DhopInternalOverlappedComms(StencilImpl & st,
-		      LebesgueOrder &lo,
 		      DoubledGaugeField &U,
 		      DoubledGaugeField &UUU,
 		      const FermionField &in, 
@@ -116,7 +116,6 @@ public:
 		      int dag);
 
     void DhopInternalSerialComms(StencilImpl & st,
-		      LebesgueOrder &lo,
 		      DoubledGaugeField &U,
 		      DoubledGaugeField &UUU,
 		      const FermionField &in, 
@@ -192,8 +191,6 @@ public:
   DoubledGaugeField UUUmuEven;
   DoubledGaugeField UUUmuOdd;
     
-  LebesgueOrder Lebesgue;
-  LebesgueOrder LebesgueEvenOdd;
     
   // Comms buffer
   //  std::vector<SiteHalfSpinor,alignedAllocator<SiteHalfSpinor> >  comm_buf;

Grid/qcd/action/fermion/MobiusEOFAFermion.h

@@ -42,11 +42,11 @@ public:
 
 public:
   // Shift operator coefficients for red-black preconditioned Mobius EOFA
-  Vector<Coeff_t> Mooee_shift;
+  std::vector<Coeff_t> Mooee_shift;
-  Vector<Coeff_t> MooeeInv_shift_lc;
+  std::vector<Coeff_t> MooeeInv_shift_lc;
-  Vector<Coeff_t> MooeeInv_shift_norm;
+  std::vector<Coeff_t> MooeeInv_shift_norm;
-  Vector<Coeff_t> MooeeInvDag_shift_lc;
+  std::vector<Coeff_t> MooeeInvDag_shift_lc;
-  Vector<Coeff_t> MooeeInvDag_shift_norm;
+  std::vector<Coeff_t> MooeeInvDag_shift_norm;
 
   virtual void Instantiatable(void) {};
 
@@ -74,18 +74,18 @@ public:
   // Instantiate different versions depending on Impl
   /////////////////////////////////////////////////////
   void M5D(const FermionField& psi, const FermionField& phi, FermionField& chi,
-	   Vector<Coeff_t>& lower, Vector<Coeff_t>& diag, Vector<Coeff_t>& upper);
+	   std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper);
 
   void M5D_shift(const FermionField& psi, const FermionField& phi, FermionField& chi,
-		 Vector<Coeff_t>& lower, Vector<Coeff_t>& diag, Vector<Coeff_t>& upper,
+		 std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper,
-		 Vector<Coeff_t>& shift_coeffs);
+		 std::vector<Coeff_t>& shift_coeffs);
 
   void M5Ddag(const FermionField& psi, const FermionField& phi, FermionField& chi,
-	      Vector<Coeff_t>& lower, Vector<Coeff_t>& diag, Vector<Coeff_t>& upper);
+	      std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper);
 
   void M5Ddag_shift(const FermionField& psi, const FermionField& phi, FermionField& chi,
-		    Vector<Coeff_t>& lower, Vector<Coeff_t>& diag, Vector<Coeff_t>& upper,
+		    std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper,
-		    Vector<Coeff_t>& shift_coeffs);
+		    std::vector<Coeff_t>& shift_coeffs);
 
   virtual void RefreshShiftCoefficients(RealD new_shift);
 

Grid/qcd/action/fermion/NaiveStaggeredFermion.h

@@ -36,6 +36,8 @@ public:
   static const std::vector<int> directions;
   static const std::vector<int> displacements;
   static const int npoint = 8;
+  static std::vector<int> MakeDirections(void);
+  static std::vector<int> MakeDisplacements(void);
 };
 
 template <class Impl>
@@ -102,11 +104,11 @@ public:
 		     GaugeField &mat, 
 		     const FermionField &A, const FermionField &B, int dag);
 
-  void DhopInternal(StencilImpl &st, LebesgueOrder &lo, DoubledGaugeField &U,
+  void DhopInternal(StencilImpl &st, DoubledGaugeField &U,
                     const FermionField &in, FermionField &out, int dag);
-  void DhopInternalSerialComms(StencilImpl &st, LebesgueOrder &lo, DoubledGaugeField &U,
+  void DhopInternalSerialComms(StencilImpl &st, DoubledGaugeField &U,
 			       const FermionField &in, FermionField &out, int dag);
-  void DhopInternalOverlappedComms(StencilImpl &st, LebesgueOrder &lo, DoubledGaugeField &U,
+  void DhopInternalOverlappedComms(StencilImpl &st, DoubledGaugeField &U,
 				   const FermionField &in, FermionField &out, int dag);
 
   //////////////////////////////////////////////////////////////////////////
@@ -152,9 +154,6 @@ public:
   DoubledGaugeField UmuEven;
   DoubledGaugeField UmuOdd;
 
-  LebesgueOrder Lebesgue;
-  LebesgueOrder LebesgueEvenOdd;
-  
   ///////////////////////////////////////////////////////////////
   // Conserved current utilities
   ///////////////////////////////////////////////////////////////

Grid/qcd/action/fermion/OverlapWilsonCayleyZolotarevFermion.h

@@ -41,6 +41,10 @@ public:
 public:
 
   // Constructors
+  virtual void   Instantiatable(void){};
+  void  MomentumSpacePropagator(FermionField &out,const FermionField &in,RealD _m,std::vector<double> twist) {
+    this->MomentumSpacePropagatorHw(out,in,_m,twist);
+  };
 
   OverlapWilsonCayleyZolotarevFermion(GaugeField &_Umu,
 				      GridCartesian         &FiveDimGrid,

Grid/qcd/action/fermion/OverlapWilsonContfracTanhFermion.h

@@ -41,6 +41,9 @@ public:
 public:
 
   virtual void   Instantiatable(void){};
+  void  MomentumSpacePropagator(FermionField &out,const FermionField &in,RealD _m,std::vector<double> twist) {
+    this->MomentumSpacePropagatorHw(out,in,_m,twist);
+  };
   // Constructors
   OverlapWilsonContFracTanhFermion(GaugeField &_Umu,
 				   GridCartesian         &FiveDimGrid,

Grid/qcd/action/fermion/OverlapWilsonContfracZolotarevFermion.h

@@ -40,6 +40,9 @@ public:
   INHERIT_IMPL_TYPES(Impl);
 
   virtual void   Instantiatable(void){};
+  void  MomentumSpacePropagator(FermionField &out,const FermionField &in,RealD _m,std::vector<double> twist) {
+    this->MomentumSpacePropagatorHw(out,in,_m,twist);
+  };
   // Constructors
   OverlapWilsonContFracZolotarevFermion(GaugeField &_Umu,
 					GridCartesian         &FiveDimGrid,

Grid/qcd/action/fermion/OverlapWilsonPartialFractionTanhFermion.h

@@ -41,6 +41,9 @@ public:
 public:
 
   virtual void   Instantiatable(void){};
+  void  MomentumSpacePropagator(FermionField &out,const FermionField &in,RealD _m,std::vector<double> twist) {
+    this->MomentumSpacePropagatorHw(out,in,_m,twist);
+  };
   // Constructors
   OverlapWilsonPartialFractionTanhFermion(GaugeField &_Umu,
 					  GridCartesian         &FiveDimGrid,

Grid/qcd/action/fermion/OverlapWilsonPartialFractionZolotarevFermion.h

@@ -40,6 +40,11 @@ public:
   INHERIT_IMPL_TYPES(Impl);
 
   virtual void   Instantiatable(void){};
+
+  void  MomentumSpacePropagator(FermionField &out,const FermionField &in,RealD _m,std::vector<double> twist) {
+    this->MomentumSpacePropagatorHw(out,in,_m,twist);
+  };
+
   // Constructors
   OverlapWilsonPartialFractionZolotarevFermion(GaugeField &_Umu,
 					       GridCartesian         &FiveDimGrid,

Grid/qcd/action/fermion/PartialFractionFermion5D.h

@@ -39,7 +39,7 @@ class PartialFractionFermion5D : public WilsonFermion5D<Impl>
 public:
   INHERIT_IMPL_TYPES(Impl);
 
-  const int part_frac_chroma_convention=1;
+  const int part_frac_chroma_convention=0;
 
   void   Meooe_internal(const FermionField &in, FermionField &out,int dag);
   void   Mooee_internal(const FermionField &in, FermionField &out,int dag);
@@ -83,19 +83,78 @@ public:
 			   GridRedBlackCartesian &FourDimRedBlackGrid,
 			   RealD _mass,RealD M5,const ImplParams &p= ImplParams());
 
+  PartialFractionFermion5D(GaugeField &_Umu,
+			   GridCartesian         &FiveDimGrid,
+			   GridRedBlackCartesian &FiveDimRedBlackGrid,
+			   GridCartesian         &FourDimGrid,
+			   GridRedBlackCartesian &FourDimRedBlackGrid,
+			   RealD _mass,RealD M5,std::vector<RealD> &_qmu,const ImplParams &p= ImplParams());
+
+  void FreePropagator(const FermionField &in,FermionField &out,RealD mass,std::vector<Complex> boundary, std::vector<double> twist)
+  {
+    std::cout << "Free Propagator for PartialFraction"<<std::endl;
+    FermionField in_k(in.Grid());
+    FermionField prop_k(in.Grid());
+    
+    FFT theFFT((GridCartesian *) in.Grid());
+
+    //phase for boundary condition
+    ComplexField coor(in.Grid());
+    ComplexField ph(in.Grid());  ph = Zero();
+    FermionField in_buf(in.Grid()); in_buf = Zero();
+    typedef typename Simd::scalar_type Scalar;
+    Scalar ci(0.0,1.0);
+    assert(twist.size() == Nd);//check that twist is Nd
+    assert(boundary.size() == Nd);//check that boundary conditions is Nd
+    int shift = 0;
+    for(unsigned int nu = 0; nu < Nd; nu++)
+      {
+	// Shift coordinate lattice index by 1 to account for 5th dimension.
+	LatticeCoordinate(coor, nu + shift);
+	double boundary_phase = ::acos(real(boundary[nu]));
+	ph = ph + boundary_phase*coor*((1./(in.Grid()->_fdimensions[nu+shift])));
+	//momenta for propagator shifted by twist+boundary
+	twist[nu] = twist[nu] + boundary_phase/((2.0*M_PI));
+      }
+    in_buf = exp(ci*ph*(-1.0))*in;
+
+    theFFT.FFT_all_dim(in_k,in,FFT::forward);
+    if ( this->qmu.size() ){
+      this->MomentumSpacePropagatorHwQ(prop_k,in_k,mass,twist,this->qmu);
+    } else {
+      this->MomentumSpacePropagatorHw(prop_k,in_k,mass,twist);
+    }
+    theFFT.FFT_all_dim(out,prop_k,FFT::backward);
+    
+    //phase for boundary condition
+    out = out * exp(ci*ph);
+  };
+
+  virtual void FreePropagator(const FermionField &in,FermionField &out,RealD mass) {
+    std::vector<double> twist(Nd,0.0); //default: periodic boundarys in all directions
+    std::vector<Complex> boundary;
+    for(int i=0;i<Nd;i++) boundary.push_back(1);//default: periodic boundary conditions
+    FreePropagator(in,out,mass,boundary,twist);
+  };
+
+  void set_qmu(std::vector<RealD> _qmu) { qmu=_qmu; assert(qmu.size()==Nd);};
+  void addQmu(const FermionField &in, FermionField &out, int dag);
+
 protected:
 
   virtual void SetCoefficientsTanh(Approx::zolotarev_data *zdata,RealD scale);
   virtual void SetCoefficientsZolotarev(RealD zolo_hi,Approx::zolotarev_data *zdata);
 
+  std::vector<RealD> qmu;
+
   // Part frac
   RealD mass;
   RealD dw_diag;
   RealD R;
   RealD amax;
   RealD scale;
-  Vector<double> p; 
+  std::vector<double> p; 
-  Vector<double> q;
+  std::vector<double> q;
 
 };
 

Grid/qcd/action/fermion/SchurDiagTwoKappa.h

@@ -35,7 +35,7 @@ template<class Matrix, class Field>
 class KappaSimilarityTransform {
 public:
   INHERIT_IMPL_TYPES(Matrix);
-  Vector<Coeff_t> kappa, kappaDag, kappaInv, kappaInvDag;
+  std::vector<Coeff_t> kappa, kappaDag, kappaInv, kappaInvDag;
 
   KappaSimilarityTransform (Matrix &zmob) {
     for (int i=0;i<(int)zmob.bs.size();i++) {

Grid/qcd/action/fermion/StaggeredImpl.h

@@ -141,9 +141,9 @@ public:
       Udag = Udag *phases;
 
 	InsertGaugeField(Uds,U,mu);
-	InsertGaugeField(Uds,Udag,mu+4);
+	InsertGaugeField(Uds,Udag,mu+Nd);
 	//	PokeIndex<LorentzIndex>(Uds, U, mu);
-	//	PokeIndex<LorentzIndex>(Uds, Udag, mu + 4);
+	//	PokeIndex<LorentzIndex>(Uds, Udag, mu + Nd);
 
       // 3 hop based on thin links. Crazy huh ?
       U  = PeekIndex<LorentzIndex>(Uthin, mu);
@@ -156,7 +156,7 @@ public:
       UUUdag = UUUdag *phases;
 
 	InsertGaugeField(UUUds,UUU,mu);
-	InsertGaugeField(UUUds,UUUdag,mu+4);
+	InsertGaugeField(UUUds,UUUdag,mu+Nd);
 
     }
   }

Grid/qcd/action/fermion/StaggeredKernels.h

@@ -49,10 +49,10 @@ template<class Impl> class StaggeredKernels : public FermionOperator<Impl> , pub
    
  public:
 
-  void DhopImproved(StencilImpl &st, LebesgueOrder &lo, 
+  void DhopImproved(StencilImpl &st,
 		    DoubledGaugeField &U, DoubledGaugeField &UUU, 
 		    const FermionField &in, FermionField &out, int dag, int interior,int exterior);
-  void DhopNaive(StencilImpl &st, LebesgueOrder &lo, 
+  void DhopNaive(StencilImpl &st,
 		 DoubledGaugeField &U,
 		 const FermionField &in, FermionField &out, int dag, int interior,int exterior);
   

Grid/qcd/action/fermion/TwoSpinWilsonFermion3plus1D.h

@@ -0,0 +1,175 @@
+/*************************************************************************************
+
+    Grid physics library, www.github.com/paboyle/Grid 
+
+    Source file: ./lib/qcd/action/fermion/TwoSpinWilsonFermion3plus1D.h
+
+    Copyright (C) 2015
+
+Author: Peter Boyle <paboyle@ph.ed.ac.uk>
+Author: paboyle <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 */
+#pragma one 
+
+NAMESPACE_BEGIN(Grid);
+
+class TwoSpinWilsonFermion3plus1DStatic { 
+public:
+  // S-direction is INNERMOST and takes no part in the parity.
+  static const std::vector<int> directions;
+  static const std::vector<int> displacements;
+  static constexpr int npoint = 6;
+  static std::vector<int> MakeDirections(void);
+  static std::vector<int> MakeDisplacements(void);
+};
+
+template<class Impl>
+class TwoSpinWilsonFermion3plus1D : public TwoSpinWilsonKernels<Impl>, public TwoSpinWilsonFermion3plus1DStatic
+{
+public:
+  INHERIT_IMPL_TYPES(Impl);
+  typedef TwoSpinWilsonKernels<Impl> Kernels;
+
+  FermionField _tmp;
+  FermionField &tmp(void) { return _tmp; }
+
+  int Dirichlet;
+  Coordinate Block; 
+
+  ///////////////////////////////////////////////////////////////
+  // Implement the abstract base
+  ///////////////////////////////////////////////////////////////
+  GridBase *GaugeGrid(void)              { return _ThreeDimGrid ;}
+  GridBase *GaugeRedBlackGrid(void)      { return _ThreeDimRedBlackGrid ;}
+  GridBase *FermionGrid(void)            { return _FourDimGrid;}
+  GridBase *FermionRedBlackGrid(void)    { return _FourDimRedBlackGrid;}
+
+  // full checkerboard operations; leave unimplemented as abstract for now
+  virtual void   M    (const FermionField &in, FermionField &out){assert(0);};
+  virtual void   Mdag (const FermionField &in, FermionField &out){assert(0);};
+
+  // half checkerboard operations; leave unimplemented as abstract for now
+  virtual void   Meooe       (const FermionField &in, FermionField &out);
+  virtual void   Mooee       (const FermionField &in, FermionField &out);
+  virtual void   MooeeInv    (const FermionField &in, FermionField &out);
+
+  virtual void   MeooeDag    (const FermionField &in, FermionField &out);
+  virtual void   MooeeDag    (const FermionField &in, FermionField &out);
+  virtual void   MooeeInvDag (const FermionField &in, FermionField &out);
+  virtual void   Mdir   (const FermionField &in, FermionField &out,int dir,int disp){assert(0);};   // case by case Wilson, Clover, Cayley, ContFrac, PartFrac
+  virtual void   MdirAll(const FermionField &in, std::vector<FermionField> &out){assert(0);};   // case by case Wilson, Clover, Cayley, ContFrac, PartFrac
+
+  // These can be overridden by fancy 5d chiral action
+  virtual void DhopDeriv  (GaugeField &mat,const FermionField &U,const FermionField &V,int dag);
+  virtual void DhopDerivEO(GaugeField &mat,const FermionField &U,const FermionField &V,int dag);
+  virtual void DhopDerivOE(GaugeField &mat,const FermionField &U,const FermionField &V,int dag);
+
+  //  void MomentumSpacePropagatorHt_5d(FermionField &out,const FermionField &in,RealD mass,std::vector<double> twist) ;
+  void MomentumSpacePropagatorHt(FermionField &out,const FermionField &in,RealD mass,std::vector<double> twist) ;
+  void MomentumSpacePropagatorHw(FermionField &out,const FermionField &in,RealD mass,std::vector<double> twist) ;
+  
+  // Implement hopping term non-hermitian hopping term; half cb or both
+  // Implement s-diagonal DW
+  void DW    (const FermionField &in, FermionField &out,int dag);
+  void Dhop  (const FermionField &in, FermionField &out,int dag);
+  void DhopOE(const FermionField &in, FermionField &out,int dag);
+  void DhopEO(const FermionField &in, FermionField &out,int dag);
+
+  void DhopComms  (const FermionField &in, FermionField &out);
+  void DhopCalc   (const FermionField &in, FermionField &out,uint64_t *ids);
+  
+  // add a DhopComm
+  // -- suboptimal interface will presently trigger multiple comms.
+  void DhopDir(const FermionField &in, FermionField &out,int dir,int disp);
+  void DhopDirAll(const FermionField &in,std::vector<FermionField> &out);
+  void DhopDirComms(const FermionField &in);
+  void DhopDirCalc(const FermionField &in, FermionField &out,int point);
+    
+  ///////////////////////////////////////////////////////////////
+  // New methods added 
+  ///////////////////////////////////////////////////////////////
+  void DerivInternal(StencilImpl & st,
+		     DoubledGaugeField & U,
+		     GaugeField &mat,
+		     const FermionField &A,
+		     const FermionField &B,
+		     int dag);
+    
+  void DhopInternal(StencilImpl & st,
+		    DoubledGaugeField &U,
+		    const FermionField &in, 
+		    FermionField &out,
+		    int dag);
+
+  void DhopInternalOverlappedComms(StencilImpl & st,
+				   DoubledGaugeField &U,
+				   const FermionField &in, 
+				   FermionField &out,
+				   int dag);
+
+  void DhopInternalSerialComms(StencilImpl & st,
+			       DoubledGaugeField &U,
+			       const FermionField &in, 
+			       FermionField &out,
+			       int dag);
+    
+  // Constructors
+  TwoSpinWilsonFermion3plus1D(GaugeField &_Umu,
+		  GridCartesian         &FourDimGrid,
+		  GridRedBlackCartesian &FourDimRedBlackGrid,
+		  GridCartesian         &ThreeDimGrid,
+		  GridRedBlackCartesian &ThreeDimRedBlackGrid,
+		  double _M5,const ImplParams &p= ImplParams());
+
+  virtual void DirichletBlock(const Coordinate & block)
+  {
+  }
+    
+  // DoubleStore
+  void ImportGauge(const GaugeField &_Umu);
+    
+  ///////////////////////////////////////////////////////////////
+  // Data members require to support the functionality
+  ///////////////////////////////////////////////////////////////
+public:
+    
+  // Add these to the support from Wilson
+  GridBase *_ThreeDimGrid;
+  GridBase *_ThreeDimRedBlackGrid;
+  GridBase *_FourDimGrid;
+  GridBase *_FourDimRedBlackGrid;
+    
+  double                        M5;
+  int Ls;
+    
+  //Defines the stencils for even and odd
+  StencilImpl Stencil; 
+  StencilImpl StencilEven; 
+  StencilImpl StencilOdd; 
+    
+  // Copy of the gauge field , with even and odd subsets
+  DoubledGaugeField Umu;
+  DoubledGaugeField UmuEven;
+  DoubledGaugeField UmuOdd;
+
+};
+
+NAMESPACE_END(Grid);
+

Grid/qcd/action/fermion/TwoSpinWilsonImpl.h

@@ -0,0 +1,222 @@
+/*************************************************************************************
+
+Grid physics library, www.github.com/paboyle/Grid
+
+Source file: ./lib/qcd/action/fermion/FermionOperatorImpl.h
+
+Copyright (C) 2015
+
+Author: Peter Boyle <pabobyle@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 */
+#pragma once
+
+NAMESPACE_BEGIN(Grid);
+
+  
+/////////////////////////////////////////////////////////////////////////////
+// Single flavour four spinors with colour index
+/////////////////////////////////////////////////////////////////////////////
+template <class S, class Representation = FundamentalRepresentation,class Options = CoeffReal >
+class TwoSpinWilsonImpl : public PeriodicGaugeImpl<GaugeImplTypes<S, Representation::Dimension > > {
+public:
+  
+  static const int Dimension = Representation::Dimension;
+  static const bool isFundamental = Representation::isFundamental;
+
+  typedef PeriodicGaugeImpl<GaugeImplTypes<S, Dimension > > Gimpl;
+  INHERIT_GIMPL_TYPES(Gimpl);
+      
+  //Necessary?
+  constexpr bool is_fundamental() const{return Dimension == Nc ? 1 : 0;}
+    
+  typedef typename Options::_Coeff_t Coeff_t;
+      
+  template <typename vtype> using iImplSpinor            = iScalar<iVector<iVector<vtype, Dimension>, Nhs> >;
+  template <typename vtype> using iImplPropagator        = iScalar<iMatrix<iMatrix<vtype, Dimension>, Nhs> >;
+  template <typename vtype> using iImplHalfSpinor        = iScalar<iVector<iVector<vtype, Dimension>, Nhs> >;
+  template <typename vtype> using iImplHalfCommSpinor    = iScalar<iVector<iVector<vtype, Dimension>, Nhs> >;
+  template <typename vtype> using iImplDoubledGaugeField = iVector<iScalar<iMatrix<vtype, Dimension> >, Nds>;
+    
+  typedef iImplSpinor<Simd>            SiteSpinor;
+  typedef iImplPropagator<Simd>        SitePropagator;
+  typedef iImplHalfSpinor<Simd>        SiteHalfSpinor;
+  typedef iImplHalfCommSpinor<Simd>    SiteHalfCommSpinor;
+  typedef iImplDoubledGaugeField<Simd> SiteDoubledGaugeField;
+    
+  typedef Lattice<SiteSpinor>            FermionField;
+  typedef Lattice<SitePropagator>        PropagatorField;
+  typedef Lattice<SiteDoubledGaugeField> DoubledGaugeField;
+    
+  typedef SimpleCompressor<SiteSpinor> Compressor;
+  typedef WilsonImplParams ImplParams;
+  typedef CartesianStencil<SiteSpinor, SiteSpinor, ImplParams> StencilImpl;
+  typedef const typename StencilImpl::View_type StencilView;
+    
+  ImplParams Params;
+
+  TwoSpinWilsonImpl(const ImplParams &p = ImplParams()) : Params(p){
+  };
+
+  template<class _Spinor>
+  static accelerator_inline void multLink(_Spinor &phi,
+					  const SiteDoubledGaugeField &U,
+					  const _Spinor &chi,
+					  int mu) 
+  {
+    auto UU = coalescedRead(U(mu));
+    mult(&phi(), &UU, &chi());
+  }
+  template<class _Spinor>
+  static accelerator_inline void multLink(_Spinor &phi,
+					  const SiteDoubledGaugeField &U,
+					  const _Spinor &chi,
+					  int mu,
+					  StencilEntry *SE,
+					  StencilView &St) 
+  {
+    multLink(phi,U,chi,mu);
+  }
+
+  template<class _SpinorField> 
+  inline void multLinkField(_SpinorField & out,
+			    const DoubledGaugeField &Umu,
+			    const _SpinorField & phi,
+			    int mu)
+  {
+    const int Nsimd = SiteHalfSpinor::Nsimd();
+    autoView( out_v, out, AcceleratorWrite);
+    autoView( phi_v, phi, AcceleratorRead);
+    autoView( Umu_v, Umu, AcceleratorRead);
+    typedef decltype(coalescedRead(out_v[0]))   calcSpinor;
+    accelerator_for(sss,out.Grid()->oSites(),Nsimd,{
+	calcSpinor tmp;
+	multLink(tmp,Umu_v[sss],phi_v(sss),mu);
+	coalescedWrite(out_v[sss],tmp);
+    });
+  }
+					   
+  template <class ref>
+  static accelerator_inline void loadLinkElement(Simd &reg, ref &memory) 
+  {
+    reg = memory;
+  }
+      
+  inline void DoubleStore(GridBase *GaugeGrid,
+			  DoubledGaugeField &Uds,
+			  const GaugeField &Umu) 
+  {
+    typedef typename Simd::scalar_type scalar_type;
+
+    conformable(Uds.Grid(), GaugeGrid);
+    conformable(Umu.Grid(), GaugeGrid);
+
+    GaugeLinkField U(GaugeGrid);
+    GaugeLinkField tmp(GaugeGrid);
+
+    Lattice<iScalar<vInteger> > coor(GaugeGrid);
+      ////////////////////////////////////////////////////
+      // apply any boundary phase or twists
+      ////////////////////////////////////////////////////
+    for (int mu = 0; mu < Nd; mu++) {
+
+	////////// boundary phase /////////////
+      auto pha = Params.boundary_phases[mu];
+      scalar_type phase( real(pha),imag(pha) );
+
+	int L   = GaugeGrid->GlobalDimensions()[mu];
+        int Lmu = L - 1;
+
+      LatticeCoordinate(coor, mu);
+
+      U = PeekIndex<LorentzIndex>(Umu, mu);
+
+	// apply any twists
+	RealD theta = Params.twist_n_2pi_L[mu] * 2*M_PI / L;
+	if ( theta != 0.0) { 
+	  scalar_type twphase(::cos(theta),::sin(theta));
+	  U = twphase*U;
+	  std::cout << GridLogMessage << " Twist ["<<mu<<"] "<< Params.twist_n_2pi_L[mu]<< " phase"<<phase <<std::endl;
+	}
+
+      tmp = where(coor == Lmu, phase * U, U);
+      PokeIndex<LorentzIndex>(Uds, tmp, mu);
+
+      U = adj(Cshift(U, mu, -1));
+      U = where(coor == 0, conjugate(phase) * U, U); 
+      PokeIndex<LorentzIndex>(Uds, U, mu + Nd);
+    }
+  }
+
+  inline void InsertForce4D(GaugeField &mat, FermionField &Btilde, FermionField &A,int mu){
+    GaugeLinkField link(mat.Grid());
+    link = TraceIndex<SpinIndex>(outerProduct(Btilde,A)); 
+    PokeIndex<LorentzIndex>(mat,link,mu);
+  }   
+      
+    inline void outerProductImpl(PropagatorField &mat, const FermionField &B, const FermionField &A){
+      mat = outerProduct(B,A); 
+    }  
+
+    inline void TraceSpinImpl(GaugeLinkField &mat, PropagatorField&P) {
+      mat = TraceIndex<SpinIndex>(P); 
+    }
+      
+    inline void extractLinkField(std::vector<GaugeLinkField> &mat, DoubledGaugeField &Uds)
+    {
+      for (int mu = 0; mu < Nd; mu++)
+      mat[mu] = PeekIndex<LorentzIndex>(Uds, mu);
+    }
+
+  inline void InsertForce5D(GaugeField &mat, FermionField &Btilde, FermionField &Atilde,int mu)
+  {
+    int Ls=Btilde.Grid()->_fdimensions[0];
+    autoView( mat_v , mat, AcceleratorWrite);
+    {
+      const int Nsimd = SiteSpinor::Nsimd();
+      autoView( Btilde_v , Btilde, AcceleratorRead);
+      autoView( Atilde_v , Atilde, AcceleratorRead);
+      accelerator_for(sss,mat.Grid()->oSites(),Nsimd,{
+	  int sU=sss;
+  	  typedef decltype(coalescedRead(mat_v[sU](mu)() )) ColorMatrixType;
+  	  ColorMatrixType sum;
+	  zeroit(sum);  
+	  for(int s=0;s<Ls;s++){
+	    int sF = s+Ls*sU;
+  	    for(int spn=0;spn<Ns;spn++){ //sum over spin
+  	      auto bb = coalescedRead(Btilde_v[sF]()(spn) ); //color vector
+  	      auto aa = coalescedRead(Atilde_v[sF]()(spn) );
+	      auto op = outerProduct(bb,aa);
+  	      sum = sum + op;
+	    }
+	  }
+  	  coalescedWrite(mat_v[sU](mu)(), sum);
+      });
+    }
+  }
+};
+
+
+typedef TwoSpinWilsonImpl<vComplex,  FundamentalRepresentation, CoeffReal > TwoSpinWilsonImplR;  // Real.. whichever prec
+typedef TwoSpinWilsonImpl<vComplexF, FundamentalRepresentation, CoeffReal > TwoSpinWilsonImplF;  // Float
+typedef TwoSpinWilsonImpl<vComplexD, FundamentalRepresentation, CoeffReal > TwoSpinWilsonImplD;  // Double
+typedef TwoSpinWilsonImpl<vComplexD2, FundamentalRepresentation, CoeffReal > TwoSpinWilsonImplD2;  // Double
+
+NAMESPACE_END(Grid);

Grid/qcd/action/fermion/TwoSpinWilsonKernels.h

@@ -0,0 +1,84 @@
+/*************************************************************************************
+
+Grid physics library, www.github.com/paboyle/Grid
+
+Source file: ./lib/qcd/action/fermion/WilsonKernels.h
+
+Copyright (C) 2015
+
+Author: Peter Boyle <pabobyle@ph.ed.ac.uk>
+Author: Peter Boyle <paboyle@ph.ed.ac.uk>
+Author: paboyle <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 */
+#pragma once
+
+NAMESPACE_BEGIN(Grid);
+
+////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+// Helper routines that implement Wilson stencil for a single site.
+// Common to both the WilsonFermion and WilsonFermion5D
+////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+ 
+template<class Impl> class TwoSpinWilsonKernels : public FermionOperator<Impl>  { 
+public:
+
+  INHERIT_IMPL_TYPES(Impl);
+  typedef FermionOperator<Impl> Base;
+  typedef AcceleratorVector<int,STENCIL_MAX> StencilVector;   
+public:
+
+  static void DhopKernel(StencilImpl &st,  DoubledGaugeField &U, SiteSpinor * buf,
+			 int Ls, int Nsite, const FermionField &in, FermionField &out,
+			 int interior=1,int exterior=1) ;
+
+  static void DhopKernel(StencilImpl &st,  DoubledGaugeField &U, SiteSpinor * buf,
+			 int Ls, int Nsite, const FermionField &in, FermionField &out,
+			 uint64_t *ids);
+  
+  static void DhopDagKernel(StencilImpl &st,  DoubledGaugeField &U, SiteSpinor * buf,
+			    int Ls, int Nsite, const FermionField &in, FermionField &out,
+			    int interior=1,int exterior=1) ;
+
+  static void DhopDirAll( StencilImpl &st, DoubledGaugeField &U,SiteSpinor *buf, int Ls,
+			  int Nsite, const FermionField &in, std::vector<FermionField> &out) ;
+
+  static void DhopDirKernel(StencilImpl &st, DoubledGaugeField &U,SiteSpinor * buf,
+			    int Ls, int Nsite, const FermionField &in, FermionField &out, int dirdisp, int gamma);
+
+private:
+
+  static accelerator_inline void DhopDirK(StencilView &st, DoubledGaugeFieldView &U,SiteSpinor * buf,
+				   int sF, int sU, const FermionFieldView &in, FermionFieldView &out, int dirdisp, int gamma);
+
+  static accelerator_inline void DhopDirXp(StencilView &st,DoubledGaugeFieldView &U,SiteSpinor *buf,int sF,int sU,const FermionFieldView &in,FermionFieldView &out,int dirdisp);
+  static accelerator_inline void DhopDirYp(StencilView &st,DoubledGaugeFieldView &U,SiteSpinor *buf,int sF,int sU,const FermionFieldView &in,FermionFieldView &out,int dirdisp);
+  static accelerator_inline void DhopDirZp(StencilView &st,DoubledGaugeFieldView &U,SiteSpinor *buf,int sF,int sU,const FermionFieldView &in,FermionFieldView &out,int dirdisp);
+  static accelerator_inline void DhopDirXm(StencilView &st,DoubledGaugeFieldView &U,SiteSpinor *buf,int sF,int sU,const FermionFieldView &in,FermionFieldView &out,int dirdisp);
+  static accelerator_inline void DhopDirYm(StencilView &st,DoubledGaugeFieldView &U,SiteSpinor *buf,int sF,int sU,const FermionFieldView &in,FermionFieldView &out,int dirdisp);
+  static accelerator_inline void DhopDirZm(StencilView &st,DoubledGaugeFieldView &U,SiteSpinor *buf,int sF,int sU,const FermionFieldView &in,FermionFieldView &out,int dirdisp);
+
+ public:
+  TwoSpinWilsonKernels(const ImplParams &p = ImplParams()) : Base(p){};
+};
+    
+NAMESPACE_END(Grid);
+
+

Grid/qcd/action/fermion/WilsonCompressor.h

@@ -47,7 +47,7 @@ public:
   static int PartialCompressionFactor(GridBase *grid) { return 1;}
 #endif
   template<class vobj,class cobj,class compressor>
-  static void Gather_plane_simple (commVector<std::pair<int,int> >& table,
+  static void Gather_plane_simple (deviceVector<std::pair<int,int> >& table,
 				   const Lattice<vobj> &rhs,
 				   cobj *buffer,
 				   compressor &compress,
@@ -109,7 +109,7 @@ public:
   // Reorder the fifth dim to be s=Ls-1 , s=0, s=1,...,Ls-2.
   ////////////////////////////////////////////////////////////////////////////////////////////
   template<class vobj,class cobj,class compressor>
-  static void Gather_plane_exchange(commVector<std::pair<int,int> >& table,const Lattice<vobj> &rhs,
+  static void Gather_plane_exchange(deviceVector<std::pair<int,int> >& table,const Lattice<vobj> &rhs,
 				    std::vector<cobj *> pointers,int dimension,int plane,int cbmask,
 				    compressor &compress,int type,int partial)
   {
@@ -197,7 +197,7 @@ public:
 #endif
   
   template<class vobj,class cobj,class compressor>
-  static void Gather_plane_simple (commVector<std::pair<int,int> >& table,
+  static void Gather_plane_simple (deviceVector<std::pair<int,int> >& table,
 					 const Lattice<vobj> &rhs,
 					 cobj *buffer,
 					 compressor &compress,
@@ -208,7 +208,7 @@ public:
     else        FaceGatherSimple::Gather_plane_simple(table,rhs,buffer,compress,off,so,partial);
   }
   template<class vobj,class cobj,class compressor>
-  static void Gather_plane_exchange(commVector<std::pair<int,int> >& table,const Lattice<vobj> &rhs,
+  static void Gather_plane_exchange(deviceVector<std::pair<int,int> >& table,const Lattice<vobj> &rhs,
 				    std::vector<cobj *> pointers,int dimension,int plane,int cbmask,
 				    compressor &compress,int type,int partial)
   {
@@ -402,7 +402,6 @@ public:
 
   typedef CartesianStencil<vobj,cobj,Parameters> Base;
   typedef typename Base::View_type View_type;
-  typedef typename Base::StencilVector StencilVector;
 
   //  Vector<int> surface_list;
   WilsonStencil(GridBase *grid,
@@ -416,29 +415,6 @@ public:
     this->same_node.resize(npoints);
   };
   
-  /*
-  void BuildSurfaceList(int Ls,int vol4){
-
-    // find same node for SHM
-    // Here we know the distance is 1 for WilsonStencil
-    for(int point=0;point<this->_npoints;point++){
-      this->same_node[point] = this->SameNode(point);
-    }
-    
-    for(int site = 0 ;site< vol4;site++){
-      int local = 1;
-      for(int point=0;point<this->_npoints;point++){
-	if( (!this->GetNodeLocal(site*Ls,point)) && (!this->same_node[point]) ){ 
-	  local = 0;
-	}
-      }
-      if(local == 0) { 
-	surface_list.push_back(site);
-      }
-    }
-  }
-  */
-  
   template < class compressor>
   void HaloExchangeOpt(const Lattice<vobj> &source,compressor &compress) 
   {
@@ -508,6 +484,11 @@ public:
     this->face_table_computed=1;
     assert(this->u_comm_offset==this->_unified_buffer_size);
     accelerator_barrier();
+#ifdef NVLINK_GET
+    this->_grid->StencilBarrier(); // He can now get mu local gather, I can get his
+    // Synch shared memory on a single nodes; could use an asynchronous barrier here and defer check
+    // Or issue barrier AFTER the DMA is running
+#endif    
   }
 
 };

Grid/qcd/action/fermion/WilsonFermion.h

@@ -38,6 +38,8 @@ public:
   static int MortonOrder;
   static const std::vector<int> directions;
   static const std::vector<int> displacements;
+  static std::vector<int> MakeDirections(void);
+  static std::vector<int> MakeDisplacements(void);
   static const int npoint = 8;
 };
 
@@ -126,13 +128,16 @@ public:
   void DerivInternal(StencilImpl &st, DoubledGaugeField &U, GaugeField &mat,
                      const FermionField &A, const FermionField &B, int dag);
 
-  void DhopInternal(StencilImpl &st, LebesgueOrder &lo, DoubledGaugeField &U,
+  void DhopInternal(StencilImpl &st,
+		    DoubledGaugeField &U,
                     const FermionField &in, FermionField &out, int dag);
 
-  void DhopInternalSerial(StencilImpl &st, LebesgueOrder &lo, DoubledGaugeField &U,
+  void DhopInternalSerial(StencilImpl &st,
+			  DoubledGaugeField &U,
 			  const FermionField &in, FermionField &out, int dag);
 
-  void DhopInternalOverlappedComms(StencilImpl &st, LebesgueOrder &lo, DoubledGaugeField &U,
+  void DhopInternalOverlappedComms(StencilImpl &st,
+				   DoubledGaugeField &U,
 				   const FermionField &in, FermionField &out, int dag);
 
   // Constructor
@@ -168,9 +173,6 @@ public:
   DoubledGaugeField UmuEven;
   DoubledGaugeField UmuOdd;
 
-  LebesgueOrder Lebesgue;
-  LebesgueOrder LebesgueEvenOdd;
-
   WilsonAnisotropyCoefficients anisotropyCoeff;
 
   ///////////////////////////////////////////////////////////////

Grid/qcd/action/fermion/WilsonFermion5D.h

@@ -62,6 +62,8 @@ public:
   static const std::vector<int> directions;
   static const std::vector<int> displacements;
   static constexpr int npoint = 8;
+  static std::vector<int> MakeDirections(void);
+  static std::vector<int> MakeDisplacements(void);
 };
 
 template<class Impl>
@@ -91,13 +93,13 @@ public:
   virtual void   Mdag (const FermionField &in, FermionField &out){assert(0);};
 
   // half checkerboard operations; leave unimplemented as abstract for now
-  virtual void   Meooe       (const FermionField &in, FermionField &out){assert(0);};
+  virtual void   Meooe       (const FermionField &in, FermionField &out);
-  virtual void   Mooee       (const FermionField &in, FermionField &out){assert(0);};
+  virtual void   Mooee       (const FermionField &in, FermionField &out);
-  virtual void   MooeeInv    (const FermionField &in, FermionField &out){assert(0);};
+  virtual void   MooeeInv    (const FermionField &in, FermionField &out);
 
-  virtual void   MeooeDag    (const FermionField &in, FermionField &out){assert(0);};
+  virtual void   MeooeDag    (const FermionField &in, FermionField &out);
-  virtual void   MooeeDag    (const FermionField &in, FermionField &out){assert(0);};
+  virtual void   MooeeDag    (const FermionField &in, FermionField &out);
-  virtual void   MooeeInvDag (const FermionField &in, FermionField &out){assert(0);};
+  virtual void   MooeeInvDag (const FermionField &in, FermionField &out);
   virtual void   Mdir   (const FermionField &in, FermionField &out,int dir,int disp){assert(0);};   // case by case Wilson, Clover, Cayley, ContFrac, PartFrac
   virtual void   MdirAll(const FermionField &in, std::vector<FermionField> &out){assert(0);};   // case by case Wilson, Clover, Cayley, ContFrac, PartFrac
 
@@ -109,6 +111,8 @@ public:
   void MomentumSpacePropagatorHt_5d(FermionField &out,const FermionField &in,RealD mass,std::vector<double> twist) ;
   void MomentumSpacePropagatorHt(FermionField &out,const FermionField &in,RealD mass,std::vector<double> twist) ;
   void MomentumSpacePropagatorHw(FermionField &out,const FermionField &in,RealD mass,std::vector<double> twist) ;
+  void MomentumSpacePropagatorHwQ(FermionField &out,const FermionField &in,RealD mass,std::vector<double> twist,
+				  std::vector<double> qmu) ;
 
   // Implement hopping term non-hermitian hopping term; half cb or both
   // Implement s-diagonal DW
@@ -117,6 +121,9 @@ public:
   void DhopOE(const FermionField &in, FermionField &out,int dag);
   void DhopEO(const FermionField &in, FermionField &out,int dag);
 
+  void DhopComms  (const FermionField &in, FermionField &out);
+  void DhopCalc   (const FermionField &in, FermionField &out,uint64_t *ids);
+  
   // add a DhopComm
   // -- suboptimal interface will presently trigger multiple comms.
   void DhopDir(const FermionField &in, FermionField &out,int dir,int disp);
@@ -135,21 +142,18 @@ public:
 		     int dag);
     
   void DhopInternal(StencilImpl & st,
-		    LebesgueOrder &lo,
 		    DoubledGaugeField &U,
 		    const FermionField &in, 
 		    FermionField &out,
 		    int dag);
 
   void DhopInternalOverlappedComms(StencilImpl & st,
-				   LebesgueOrder &lo,
 				   DoubledGaugeField &U,
 				   const FermionField &in, 
 				   FermionField &out,
 				   int dag);
 
   void DhopInternalSerialComms(StencilImpl & st,
-			       LebesgueOrder &lo,
 			       DoubledGaugeField &U,
 			       const FermionField &in, 
 			       FermionField &out,
@@ -203,9 +207,6 @@ public:
   DoubledGaugeField UmuEven;
   DoubledGaugeField UmuOdd;
     
-  LebesgueOrder Lebesgue;
-  LebesgueOrder LebesgueEvenOdd;
-    
   // Comms buffer
   //  std::vector<SiteHalfSpinor,alignedAllocator<SiteHalfSpinor> >  comm_buf;
 

Grid/qcd/action/fermion/WilsonImpl.h

@@ -166,7 +166,7 @@ public:
 
       U = adj(Cshift(U, mu, -1));
       U = where(coor == 0, conjugate(phase) * U, U); 
-      PokeIndex<LorentzIndex>(Uds, U, mu + 4);
+      PokeIndex<LorentzIndex>(Uds, U, mu + Nd);
     }
   }
 

Grid/qcd/action/fermion/WilsonKernels.h

@@ -57,6 +57,10 @@ public:
 			 int Ls, int Nsite, const FermionField &in, FermionField &out,
 			 int interior=1,int exterior=1) ;
 
+  static void DhopKernel(int Opt,StencilImpl &st,  DoubledGaugeField &U, SiteHalfSpinor * buf,
+			 int Ls, int Nsite, const FermionField &in, FermionField &out,
+			 uint64_t *ids);
+  
   static void DhopDagKernel(int Opt,StencilImpl &st,  DoubledGaugeField &U, SiteHalfSpinor * buf,
 			    int Ls, int Nsite, const FermionField &in, FermionField &out,
 			    int interior=1,int exterior=1) ;

Grid/qcd/action/fermion/WilsonTMFermion5D.h

@@ -56,7 +56,7 @@ class WilsonTMFermion5D : public WilsonFermion5D<Impl>
 			Frbgrid,
 			Ugrid,
 			Urbgrid,
-			4.0,p)
+			Nd*1.0,p)
    
     {
       update(_mass,_mu);
@@ -83,7 +83,7 @@ class WilsonTMFermion5D : public WilsonFermion5D<Impl>
     out.Checkerboard() = in.Checkerboard();
     //axpibg5x(out,in,a,b); // out = a*in + b*i*G5*in
     for (int s=0;s<(int)this->mass.size();s++) {
-      ComplexD a = 4.0+this->mass[s];
+      ComplexD a = Nd*1.0+this->mass[s];
       ComplexD b(0.0,this->mu[s]);
       axpbg5y_ssp(out,a,in,b,in,s,s);
     }
@@ -92,7 +92,7 @@ class WilsonTMFermion5D : public WilsonFermion5D<Impl>
   virtual void MooeeDag(const FermionField &in, FermionField &out) {
     out.Checkerboard() = in.Checkerboard();
     for (int s=0;s<(int)this->mass.size();s++) {
-      ComplexD a = 4.0+this->mass[s];
+      ComplexD a = Nd*1.0+this->mass[s];
       ComplexD b(0.0,-this->mu[s]);
       axpbg5y_ssp(out,a,in,b,in,s,s);
     }
@@ -101,7 +101,7 @@ class WilsonTMFermion5D : public WilsonFermion5D<Impl>
     for (int s=0;s<(int)this->mass.size();s++) {
       RealD m    = this->mass[s];
       RealD tm   = this->mu[s];
-      RealD mtil = 4.0+this->mass[s];
+      RealD mtil = Nd*1.0+this->mass[s];
       RealD sq   = mtil*mtil+tm*tm;
       ComplexD a    = mtil/sq;
       ComplexD b(0.0, -tm /sq);
@@ -112,7 +112,7 @@ class WilsonTMFermion5D : public WilsonFermion5D<Impl>
     for (int s=0;s<(int)this->mass.size();s++) {
       RealD m    = this->mass[s];
       RealD tm   = this->mu[s];
-      RealD mtil = 4.0+this->mass[s];
+      RealD mtil = Nd*1.0+this->mass[s];
       RealD sq   = mtil*mtil+tm*tm;
       ComplexD a    = mtil/sq;
       ComplexD b(0.0,tm /sq);
@@ -126,7 +126,7 @@ class WilsonTMFermion5D : public WilsonFermion5D<Impl>
     this->Dhop(in, out, DaggerNo);
     FermionField tmp(out.Grid());
     for (int s=0;s<(int)this->mass.size();s++) {
-      ComplexD a = 4.0+this->mass[s];
+      ComplexD a = Nd*1.0+this->mass[s];
       ComplexD b(0.0,this->mu[s]);
       axpbg5y_ssp(tmp,a,in,b,in,s,s);
     }