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.gitignore

@@ -1,3 +1,7 @@
+# Doxygen stuff
+html/*
+latex/*
+
 # Compiled Object files #
 #########################
 *.slo

Grid/algorithms/LinearOperator.h

@@ -460,53 +460,6 @@ class NonHermitianSchurDiagTwoOperator : public NonHermitianSchurOperatorBase<Fi
   }
 };
 
-template<class Matrix,class Field>
-class QuadLinearOperator : public LinearOperatorBase<Field> {
-  Matrix &_Mat;
-public:
-  RealD a0,a1,a2;
-  QuadLinearOperator(Matrix &Mat): _Mat(Mat),a0(0.),a1(0.),a2(1.) {};
-  QuadLinearOperator(Matrix &Mat, RealD _a0,RealD _a1,RealD _a2): _Mat(Mat),a0(_a0),a1(_a1),a2(_a2) {};
-  // Support for coarsening to a multigrid
-  void OpDiag (const Field &in, Field &out) {
-    assert(0);
-    _Mat.Mdiag(in,out);
-  }
-  void OpDir  (const Field &in, Field &out,int dir,int disp) {
-    assert(0);
-    _Mat.Mdir(in,out,dir,disp);
-  }
-  void OpDirAll  (const Field &in, std::vector<Field> &out){
-    assert(0);
-    _Mat.MdirAll(in,out);
-  }
-  void HermOp (const Field &in, Field &out){
-//    _Mat.M(in,out);
-    Field tmp1(in.Grid());
-//    Linop.HermOpAndNorm(psi, mmp, d, b);
-    _Mat.M(in,tmp1);
-    _Mat.M(tmp1,out);
-    out *= a2;
-    axpy(out, a1, tmp1, out);
-    axpy(out, a0, in, out);
-//    d=real(innerProduct(psi,mmp));
-//    b=norm2(mmp);
-  }
-  void AdjOp     (const Field &in, Field &out){
-    assert(0);
-    _Mat.M(in,out);
-  }
-  void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2){
-    HermOp(in,out);
-    ComplexD dot= innerProduct(in,out); n1=real(dot);
-    n2=norm2(out);
-  }
-  void Op(const Field &in, Field &out){
-    assert(0);
-    _Mat.M(in,out);
-  }
-};
-
 ///////////////////////////////////////////////////////////////////////////////////////////////////
 // Left  handed Moo^-1 ; (Moo - Moe Mee^-1 Meo) psi = eta  -->  ( 1 - Moo^-1 Moe Mee^-1 Meo ) psi = Moo^-1 eta
 // Right handed Moo^-1 ; (Moo - Moe Mee^-1 Meo) Moo^-1 Moo psi = eta  -->  ( 1 - Moe Mee^-1 Meo Moo^-1) phi=eta ; psi = Moo^-1 phi

Grid/algorithms/approx/Forecast.h

@@ -36,12 +36,11 @@ NAMESPACE_BEGIN(Grid);
 // Abstract base class.
 // Takes a matrix (Mat), a source (phi), and a vector of Fields (chi)
 // and returns a forecasted solution to the system D*psi = phi (psi).
-// Changing to operator
+template<class Matrix, class Field>
-template<class LinearOperatorBase, class Field>
 class Forecast
 {
 public:
-  virtual Field operator()(LinearOperatorBase &Mat, const Field& phi, const std::vector<Field>& chi) = 0;
+  virtual Field operator()(Matrix &Mat, const Field& phi, const std::vector<Field>& chi) = 0;
 };
 
 // Implementation of Brower et al.'s chronological inverter (arXiv:hep-lat/9509012),
@@ -55,13 +54,13 @@ public:
   Field operator()(Matrix &Mat, const Field& phi, const std::vector<Field>& prev_solns)
   {
     int degree = prev_solns.size();
-    std::cout << GridLogMessage << "ChronoForecast: degree= " << degree << std::endl;
     Field chi(phi); // forecasted solution
 
     // Trivial cases
     if(degree == 0){ chi = Zero(); return chi; }
     else if(degree == 1){ return prev_solns[0]; }
 
+    //    RealD dot;
     ComplexD xp;
     Field r(phi); // residual
     Field Mv(phi);
@@ -84,9 +83,8 @@ public:
     // Perform sparse matrix multiplication and construct rhs
     for(int i=0; i<degree; i++){
       b[i] = innerProduct(v[i],phi);
-//      Mat.M(v[i],Mv);
+      Mat.M(v[i],Mv);
-//      Mat.Mdag(Mv,MdagMv[i]);
+      Mat.Mdag(Mv,MdagMv[i]);
-      Mat.HermOp(v[i],MdagMv[i]);
       G[i][i] = innerProduct(v[i],MdagMv[i]);
     }
 

Grid/algorithms/blas/BatchedBlas.h

@@ -0,0 +1,697 @@
+/*************************************************************************************
+
+    Grid physics library, www.github.com/paboyle/Grid 
+
+    Source file: BatchedBlas.h
+
+    Copyright (C) 2023
+
+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
+
+#ifdef GRID_HIP
+#include <hipblas/hipblas.h>
+#endif
+#ifdef GRID_CUDA
+#include <hipblas/hipblas.h>
+#endif
+#ifdef GRID_SYCL
+#error // need oneMKL version
+#endif
+
+///////////////////////////////////////////////////////////////////////	  
+// Need to rearrange lattice data to be in the right format for a
+// batched multiply. Might as well make these static, dense packed
+///////////////////////////////////////////////////////////////////////
+NAMESPACE_BEGIN(Grid);
+#ifdef GRID_HIP
+  typedef hipblasHandle_t gridblasHandle_t;
+#endif
+#ifdef GRID_CUDA
+  typedef cudablasHandle_t gridblasHandle_t;
+#endif
+#ifdef GRID_SYCL
+  typedef int32_t gridblasHandle_t;
+#endif
+#if !defined(GRID_SYCL) && !defined(GRID_CUDA) && !defined(GRID_HIP)
+  typedef int32_t gridblasHandle_t;
+#endif
+
+enum GridBLASOperation_t { GridBLAS_OP_N, GridBLAS_OP_T, GridBLAS_OP_C } ;
+
+class GridBLAS {
+public:
+
+  
+  static gridblasHandle_t gridblasHandle;
+  static int            gridblasInit;
+  
+  static void Init(void)
+  {
+    if ( ! gridblasInit ) {
+#ifdef GRID_CUDA
+      std::cout << "cublasCreate"<<std::endl;
+      cublasCreate(&gridblasHandle);
+#endif
+#ifdef GRID_HIP
+      std::cout << "hipblasCreate"<<std::endl;
+      hipblasCreate(&gridblasHandle);
+#endif
+#ifdef GRID_SYCL
+#endif
+      gridblasInit=1;
+    }
+  }
+  
+  // Force construct once
+  GridBLAS() { Init(); };
+  ~GridBLAS() { };
+  
+  /////////////////////////////////////////////////////////////////////////////////////
+  // BLAS GEMM conventions:
+  /////////////////////////////////////////////////////////////////////////////////////
+  // - C = alpha A * B + beta C
+  // Dimensions:
+  // - C_m.n
+  // - A_m.k
+  // - B_k.n
+  // - Flops = 8 M N K
+  // - Bytes = 2*sizeof(word) * (MN+MK+KN)
+  // M=60, N=12
+  // Flop/Byte = 8 . 60.60.12 / (60.12+60.60+60.12)/16 = 4 so expect about 4 TF/s on a GCD
+  /////////////////////////////////////////////////////////////////////////////////////
+  void synchronise(void)
+  {
+#ifdef GRID_HIP
+    auto err = hipDeviceSynchronize();
+    assert(err==hipSuccess);
+#endif
+#ifdef GRID_CUDA
+    auto err = cudaDeviceSynchronize();
+    assert(err==cudaSuccess);
+#endif
+#ifdef GRID_SYCL
+    accelerator_barrier();
+#endif
+  }
+  
+  void gemmBatched(int m,int n, int k,
+		   ComplexD alpha,
+		   deviceVector<ComplexD*> &Amk,  // pointer list to matrices
+		   deviceVector<ComplexD*> &Bkn,
+		   ComplexD beta,
+		   deviceVector<ComplexD*> &Cmn)
+  {
+    gemmBatched(GridBLAS_OP_N,GridBLAS_OP_N,
+		m,n,k,
+		alpha,
+		Amk,
+		Bkn,
+		beta,
+		Cmn);
+  }
+  void gemmBatched(int m,int n, int k,
+		   ComplexF alpha,
+		   deviceVector<ComplexF*> &Amk,  // pointer list to matrices
+		   deviceVector<ComplexF*> &Bkn,
+		   ComplexF beta,
+		   deviceVector<ComplexF*> &Cmn)
+  {
+    gemmBatched(GridBLAS_OP_N,GridBLAS_OP_N,
+		m,n,k,
+		alpha,
+		Amk,
+		Bkn,
+		beta,
+		Cmn);
+  }
+  void gemmBatched(int m,int n, int k,
+		   RealD alpha,
+		   deviceVector<RealD*> &Amk,  // pointer list to matrices
+		   deviceVector<RealD*> &Bkn,
+		   RealD beta,
+		   deviceVector<RealD*> &Cmn)
+  {
+    gemmBatched(GridBLAS_OP_N,GridBLAS_OP_N,
+		m,n,k,
+		alpha,
+		Amk,
+		Bkn,
+		beta,
+		Cmn);
+  }
+  void gemmBatched(int m,int n, int k,
+		   RealF alpha,
+		   deviceVector<RealF*> &Amk,  // pointer list to matrices
+		   deviceVector<RealF*> &Bkn,
+		   RealF beta,
+		   deviceVector<RealF*> &Cmn)
+  {
+    gemmBatched(GridBLAS_OP_N,GridBLAS_OP_N,
+		m,n,k,
+		alpha,
+		Amk,
+		Bkn,
+		beta,
+		Cmn);
+  }
+
+  void gemmBatched(GridBLASOperation_t OpA,
+		   GridBLASOperation_t OpB,
+		   int m,int n, int k,
+		   ComplexD alpha,
+		   deviceVector<ComplexD*> &Amk,  // pointer list to matrices
+		   deviceVector<ComplexD*> &Bkn,
+		   ComplexD beta,
+		   deviceVector<ComplexD*> &Cmn)
+  {
+    RealD t2=usecond();
+    int32_t batchCount = Amk.size();
+    assert(Bkn.size()==batchCount);
+    assert(Cmn.size()==batchCount);
+
+    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)
+      lda = k;
+    if(OpB!=GridBLAS_OP_N)
+      ldb = n;
+    
+    static deviceVector<ComplexD> alpha_p(1);
+    static deviceVector<ComplexD> beta_p(1);
+    // can prestore the 1 and the zero on device
+    acceleratorCopyToDevice((void *)&alpha,(void *)&alpha_p[0],sizeof(ComplexD));
+    acceleratorCopyToDevice((void *)&beta ,(void *)&beta_p[0],sizeof(ComplexD));
+    RealD t0=usecond();
+    //    std::cout << "ZgemmBatched mnk  "<<m<<","<<n<<","<<k<<" count "<<batchCount<<std::endl;
+#ifdef GRID_HIP
+    hipblasOperation_t hOpA;
+    hipblasOperation_t hOpB;
+    if ( OpA == GridBLAS_OP_N ) hOpA = HIPBLAS_OP_N;
+    if ( OpA == GridBLAS_OP_T ) hOpA = HIPBLAS_OP_T;
+    if ( OpA == GridBLAS_OP_C ) hOpA = HIPBLAS_OP_C;
+    if ( OpB == GridBLAS_OP_N ) hOpB = HIPBLAS_OP_N;
+    if ( OpB == GridBLAS_OP_T ) hOpB = HIPBLAS_OP_T;
+    if ( OpB == GridBLAS_OP_C ) hOpB = HIPBLAS_OP_C;
+    auto err = hipblasZgemmBatched(gridblasHandle,
+				   hOpA,
+				   hOpB,
+				   m,n,k,
+				   (hipblasDoubleComplex *) &alpha_p[0],
+				   (hipblasDoubleComplex **)&Amk[0], lda,
+				   (hipblasDoubleComplex **)&Bkn[0], ldb,
+				   (hipblasDoubleComplex *) &beta_p[0],
+				   (hipblasDoubleComplex **)&Cmn[0], ldc,
+				   batchCount);
+    //	 std::cout << " hipblas return code " <<(int)err<<std::endl;
+    assert(err==HIPBLAS_STATUS_SUCCESS);
+#endif
+#ifdef GRID_CUDA
+    cublasOperation_t hOpA;
+    cublasOperation_t hOpB;
+    if ( OpA == GridBLAS_OP_N ) hOpA = CUBLAS_OP_N;
+    if ( OpA == GridBLAS_OP_T ) hOpA = CUBLAS_OP_T;
+    if ( OpA == GridBLAS_OP_C ) hOpA = CUBLAS_OP_C;
+    if ( OpB == GridBLAS_OP_N ) hOpB = CUBLAS_OP_N;
+    if ( OpB == GridBLAS_OP_T ) hOpB = CUBLAS_OP_T;
+    if ( OpB == GridBLAS_OP_C ) hOpB = CUBLAS_OP_C;
+    auto err = cublasZgemmBatched(gridblasHandle,
+				  hOpA,
+				  hOpB,
+				  m,n,k,
+				  (cuDoubleComplex *) &alpha_p[0],
+				  (cuDoubleComplex **)&Amk[0], lda,
+				  (cuDoubleComplex **)&Bkn[0], ldb,
+				  (cuDoubleComplex *) &beta_p[0],
+				  (cuDoubleComplex **)&Cmn[0], ldc,
+				  batchCount);
+    assert(err==CUBLAS_STATUS_SUCCESS);
+#endif
+#ifdef GRID_SYCL
+    //MKL’s cblas_<T>gemm_batch & OneAPI
+#warning "oneMKL implementation not built "
+#endif
+#if !defined(GRID_SYCL) && !defined(GRID_CUDA) && !defined(GRID_HIP)
+    // Need a default/reference implementation
+    int sda = lda*k;
+    int sdb = ldb*k;
+    int sdc = ldc*n;
+    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[p][mm + kk*lda ] * Bkn[p][kk + nn*ldb];
+	  Cmn[p][mm + nn*ldc] =  (alpha)*c_mn + (beta)*Cmn[p][mm + nn*ldc ];
+	}
+      }
+    }
+#endif
+    //    synchronise();
+     RealD t1=usecond();
+     RealD flops = 8.0*m*n*k*batchCount;
+     RealD bytes = 1.0*sizeof(ComplexD)*(m*k+k*n+m*n)*batchCount;
+     //     std::cout <<GridLogMessage<< " batched Blas copy "<<(t0-t2)/1.e3 <<" ms "<<std::endl;
+     //     std::cout <<GridLogMessage<< " batched Blas zGemm call "<<m<<","<<n<<","<<k<<" "<< flops/(t1-t0)/1.e3 <<" GF/s "<<(t1-t0)/1.e3<<" ms "<<std::endl;
+     //     std::cout <<GridLogMessage<< " batched Blas zGemm call "<<m<<","<<n<<","<<k<<" "<< bytes/(t1-t0)/1.e3 <<" GB/s "<<(t1-t0)/1.e3<<" ms "<<std::endl;
+  }
+
+  void gemmBatched(GridBLASOperation_t OpA,
+		   GridBLASOperation_t OpB,
+		   int m,int n, int k,
+		   ComplexF alpha,
+		   deviceVector<ComplexF*> &Amk,  // pointer list to matrices
+		   deviceVector<ComplexF*> &Bkn,
+		   ComplexF beta,
+		   deviceVector<ComplexF*> &Cmn)
+  {
+    RealD t2=usecond();
+    int32_t batchCount = Amk.size();
+
+    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)
+      lda = k;
+    if(OpB!=GridBLAS_OP_N)
+      ldb = n;
+    static deviceVector<ComplexF> alpha_p(1);
+    static deviceVector<ComplexF> beta_p(1);
+    // can prestore the 1 and the zero on device
+    acceleratorCopyToDevice((void *)&alpha,(void *)&alpha_p[0],sizeof(ComplexF));
+    acceleratorCopyToDevice((void *)&beta ,(void *)&beta_p[0],sizeof(ComplexF));
+    RealD t0=usecond();
+
+    assert(Bkn.size()==batchCount);
+    assert(Cmn.size()==batchCount);
+#ifdef GRID_HIP
+    hipblasOperation_t hOpA;
+    hipblasOperation_t hOpB;
+    if ( OpA == GridBLAS_OP_N ) hOpA = HIPBLAS_OP_N;
+    if ( OpA == GridBLAS_OP_T ) hOpA = HIPBLAS_OP_T;
+    if ( OpA == GridBLAS_OP_C ) hOpA = HIPBLAS_OP_C;
+    if ( OpB == GridBLAS_OP_N ) hOpB = HIPBLAS_OP_N;
+    if ( OpB == GridBLAS_OP_T ) hOpB = HIPBLAS_OP_T;
+    if ( OpB == GridBLAS_OP_C ) hOpB = HIPBLAS_OP_C;
+    auto err = hipblasCgemmBatched(gridblasHandle,
+				   hOpA,
+				   hOpB,
+				   m,n,k,
+				   (hipblasComplex *) &alpha_p[0],
+				   (hipblasComplex **)&Amk[0], lda,
+				   (hipblasComplex **)&Bkn[0], ldb,
+				   (hipblasComplex *) &beta_p[0],
+				   (hipblasComplex **)&Cmn[0], ldc,
+				   batchCount);
+
+    assert(err==HIPBLAS_STATUS_SUCCESS);
+#endif
+#ifdef GRID_CUDA
+    cublasOperation_t hOpA;
+    cublasOperation_t hOpB;
+    if ( OpA == GridBLAS_OP_N ) hOpA = CUBLAS_OP_N;
+    if ( OpA == GridBLAS_OP_T ) hOpA = CUBLAS_OP_T;
+    if ( OpA == GridBLAS_OP_C ) hOpA = CUBLAS_OP_C;
+    if ( OpB == GridBLAS_OP_N ) hOpB = CUBLAS_OP_N;
+    if ( OpB == GridBLAS_OP_T ) hOpB = CUBLAS_OP_T;
+    if ( OpB == GridBLAS_OP_C ) hOpB = CUBLAS_OP_C;
+    auto err = cublasCgemmBatched(gridblasHandle,
+				  hOpA,
+				  hOpB,
+				  m,n,k,
+				  (cuComplex *) &alpha_p[0],
+				  (cuComplex **)&Amk[0], lda,
+				  (cuComplex **)&Bkn[0], ldb,
+				  (cuComplex *) &beta_p[0],
+				  (cuComplex **)&Cmn[0], ldc,
+				  batchCount);
+    assert(err==CUBLAS_STATUS_SUCCESS);
+#endif
+#ifdef GRID_SYCL
+    //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;
+    int sdb = ldb*k;
+    int sdc = ldc*n;
+    ComplexF alphaf(real(alpha),imag(alpha));
+    ComplexF betaf(real(beta),imag(beta));
+    // 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) {
+	  ComplexF c_mn(0.0);
+	  for (int kk = 0; kk < k; ++kk)
+	    c_mn += Amk[p][mm + kk*lda ] * Bkn[p][kk + nn*ldb];
+	  Cmn[p][mm + nn*ldc] =  (alphaf)*c_mn + (betaf)*Cmn[p][mm + nn*ldc ];
+	}
+      }
+    }
+#endif
+     RealD t1=usecond();
+     RealD flops = 8.0*m*n*k*batchCount;
+     RealD bytes = 1.0*sizeof(ComplexF)*(m*k+k*n+m*n)*batchCount;
+  }
+  
+  ///////////////////////////////////////////////////////////////////////////
+  // Single precision real GEMM
+  ///////////////////////////////////////////////////////////////////////////
+
+  void gemmBatched(GridBLASOperation_t OpA,
+		   GridBLASOperation_t OpB,
+		   int m,int n, int k,
+		   RealF alpha,
+		   deviceVector<RealF*> &Amk,  // pointer list to matrices
+		   deviceVector<RealF*> &Bkn,
+		   RealF beta,
+		   deviceVector<RealF*> &Cmn)
+  {
+    RealD t2=usecond();
+    int32_t batchCount = Amk.size();
+
+    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)
+      lda = k;
+    if(OpB!=GridBLAS_OP_N)
+      ldb = n;
+    static deviceVector<RealF> alpha_p(1);
+    static deviceVector<RealF> beta_p(1);
+    // can prestore the 1 and the zero on device
+    acceleratorCopyToDevice((void *)&alpha,(void *)&alpha_p[0],sizeof(RealF));
+    acceleratorCopyToDevice((void *)&beta ,(void *)&beta_p[0],sizeof(RealF));
+    RealD t0=usecond();
+
+    assert(Bkn.size()==batchCount);
+    assert(Cmn.size()==batchCount);
+#ifdef GRID_HIP
+    hipblasOperation_t hOpA;
+    hipblasOperation_t hOpB;
+    if ( OpA == GridBLAS_OP_N ) hOpA = HIPBLAS_OP_N;
+    if ( OpA == GridBLAS_OP_T ) hOpA = HIPBLAS_OP_T;
+    if ( OpA == GridBLAS_OP_C ) hOpA = HIPBLAS_OP_C;
+    if ( OpB == GridBLAS_OP_N ) hOpB = HIPBLAS_OP_N;
+    if ( OpB == GridBLAS_OP_T ) hOpB = HIPBLAS_OP_T;
+    if ( OpB == GridBLAS_OP_C ) hOpB = HIPBLAS_OP_C;
+    auto err = hipblasSgemmBatched(gridblasHandle,
+				   hOpA,
+				   hOpB,
+				   m,n,k,
+				   (float *) &alpha_p[0],
+				   (float **)&Amk[0], lda,
+				   (float **)&Bkn[0], ldb,
+				   (float *) &beta_p[0],
+				   (float **)&Cmn[0], ldc,
+				   batchCount);
+    assert(err==HIPBLAS_STATUS_SUCCESS);
+#endif
+#ifdef GRID_CUDA
+    cublasOperation_t hOpA;
+    cublasOperation_t hOpB;
+    if ( OpA == GridBLAS_OP_N ) hOpA = CUBLAS_OP_N;
+    if ( OpA == GridBLAS_OP_T ) hOpA = CUBLAS_OP_T;
+    if ( OpA == GridBLAS_OP_C ) hOpA = CUBLAS_OP_C;
+    if ( OpB == GridBLAS_OP_N ) hOpB = CUBLAS_OP_N;
+    if ( OpB == GridBLAS_OP_T ) hOpB = CUBLAS_OP_T;
+    if ( OpB == GridBLAS_OP_C ) hOpB = CUBLAS_OP_C;
+    auto err = cublasSgemmBatched(gridblasHandle,
+				  hOpA,
+				  hOpB,
+				  m,n,k,
+				  (float *) &alpha_p[0],
+				  (float **)&Amk[0], lda,
+				  (float **)&Bkn[0], ldb,
+				  (float *) &beta_p[0],
+				  (float **)&Cmn[0], ldc,
+				  batchCount);
+    assert(err==CUBLAS_STATUS_SUCCESS);
+#endif
+#ifdef GRID_SYCL
+    //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;
+    int sdb = ldb*k;
+    int sdc = ldc*n;
+    // 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) {
+	  RealD c_mn(0.0);
+	  for (int kk = 0; kk < k; ++kk)
+	    c_mn += Amk[p][mm + kk*lda ] * Bkn[p][kk + nn*ldb];
+	  Cmn[p][mm + nn*ldc] =  (alpha)*c_mn + (beta)*Cmn[p][mm + nn*ldc ];
+	}
+      }
+    }
+#endif
+     RealD t1=usecond();
+     RealD flops = 2.0*m*n*k*batchCount;
+     RealD bytes = 1.0*sizeof(RealF)*(m*k+k*n+m*n)*batchCount;
+  }
+  
+  
+  ///////////////////////////////////////////////////////////////////////////
+  // Double precision real GEMM
+  ///////////////////////////////////////////////////////////////////////////
+
+  void gemmBatched(GridBLASOperation_t OpA,
+		   GridBLASOperation_t OpB,
+		   int m,int n, int k,
+		   RealD alpha,
+		   deviceVector<RealD*> &Amk,  // pointer list to matrices
+		   deviceVector<RealD*> &Bkn,
+		   RealD beta,
+		   deviceVector<RealD*> &Cmn)
+  {
+    RealD t2=usecond();
+    int32_t batchCount = Amk.size();
+
+    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)
+      lda = k;
+    if(OpB!=GridBLAS_OP_N)
+      ldb = n;
+    
+    static deviceVector<RealD> alpha_p(1);
+    static deviceVector<RealD> beta_p(1);
+    // can prestore the 1 and the zero on device
+    acceleratorCopyToDevice((void *)&alpha,(void *)&alpha_p[0],sizeof(RealD));
+    acceleratorCopyToDevice((void *)&beta ,(void *)&beta_p[0],sizeof(RealD));
+    RealD t0=usecond();
+
+    assert(Bkn.size()==batchCount);
+    assert(Cmn.size()==batchCount);
+#ifdef GRID_HIP
+    hipblasOperation_t hOpA;
+    hipblasOperation_t hOpB;
+    if ( OpA == GridBLAS_OP_N ) hOpA = HIPBLAS_OP_N;
+    if ( OpA == GridBLAS_OP_T ) hOpA = HIPBLAS_OP_T;
+    if ( OpA == GridBLAS_OP_C ) hOpA = HIPBLAS_OP_C;
+    if ( OpB == GridBLAS_OP_N ) hOpB = HIPBLAS_OP_N;
+    if ( OpB == GridBLAS_OP_T ) hOpB = HIPBLAS_OP_T;
+    if ( OpB == GridBLAS_OP_C ) hOpB = HIPBLAS_OP_C;
+    auto err = hipblasDgemmBatched(gridblasHandle,
+				   HIPBLAS_OP_N,
+				   HIPBLAS_OP_N,
+				   m,n,k,
+				   (double *) &alpha_p[0],
+				   (double **)&Amk[0], lda,
+				   (double **)&Bkn[0], ldb,
+				   (double *) &beta_p[0],
+				   (double **)&Cmn[0], ldc,
+				   batchCount);
+    assert(err==HIPBLAS_STATUS_SUCCESS);
+#endif
+#ifdef GRID_CUDA
+    cublasOperation_t hOpA;
+    cublasOperation_t hOpB;
+    if ( OpA == GridBLAS_OP_N ) hOpA = CUBLAS_OP_N;
+    if ( OpA == GridBLAS_OP_T ) hOpA = CUBLAS_OP_T;
+    if ( OpA == GridBLAS_OP_C ) hOpA = CUBLAS_OP_C;
+    if ( OpB == GridBLAS_OP_N ) hOpB = CUBLAS_OP_N;
+    if ( OpB == GridBLAS_OP_T ) hOpB = CUBLAS_OP_T;
+    if ( OpB == GridBLAS_OP_C ) hOpB = CUBLAS_OP_C;
+    auto err = cublasDgemmBatched(gridblasHandle,
+				  hOpA,
+				  hOpB,
+				  m,n,k,
+				  (double *) &alpha_p[0],
+				  (double **)&Amk[0], lda,
+				  (double **)&Bkn[0], ldb,
+				  (double *) &beta_p[0],
+				  (double **)&Cmn[0], ldc,
+				  batchCount);
+    assert(err==CUBLAS_STATUS_SUCCESS);
+#endif
+#ifdef GRID_SYCL
+    /*
+      int64_t m64=m;
+      int64_t n64=n;
+      int64_t k64=k;
+      int64_t batchCount64=batchCount;
+      oneapi::mkl::blas::column_major::gemm_batch(*theGridAccelerator,
+      onemkl::transpose::N,
+      onemkl::transpose::N,
+      &m64,&n64,&k64,
+      (double *) &alpha_p[0],
+      (double **)&Amk[0], lda,
+      (double **)&Bkn[0], ldb,
+      (double *) &beta_p[0],
+      (double **)&Cmn[0], ldc,
+      1,&batchCount64);
+     */
+    //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;
+    int sdb = ldb*k;
+    int sdc = ldc*n;
+    // 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) {
+	  RealD c_mn(0.0);
+	  for (int kk = 0; kk < k; ++kk)
+	    c_mn += Amk[p][mm + kk*lda ] * Bkn[p][kk + nn*ldb];
+	  Cmn[p][mm + nn*ldc] =  (alpha)*c_mn + (beta)*Cmn[p][mm + nn*ldc ];
+	}
+      }
+    }
+#endif
+     RealD t1=usecond();
+     RealD flops = 2.0*m*n*k*batchCount;
+     RealD bytes = 1.0*sizeof(RealD)*(m*k+k*n+m*n)*batchCount;
+  }
+  
+
+  
+  ////////////////////////////////////////////////////////////////////////////////////////////////
+  // 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
+#ifdef GRID_SYCL
+     #warning "oneMKL implementation not made "
+#endif
+#if !defined(GRID_SYCL) && !defined(GRID_CUDA) && !defined(GRID_HIP)
+     // 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<ComplexD> B(N_B); acceleratorMemSet(&B[0],0,N_B*sizeof(ComplexD));
+    deviceVector<ComplexD> C(N_C); acceleratorMemSet(&C[0],0,N_C*sizeof(ComplexD));
+    ComplexD alpha(1.0);
+    ComplexD beta (1.0);
+    RealD flops = 8.0*M*N*K*BATCH;
+    for(int i=0;i<10;i++){
+      RealD t0 = usecond();
+	gemmStridedBatched(M,N,K,
+			   alpha,
+			   &A[0], // m x k 
+			   &B[0], // k x n
+			   beta, 
+			   &C[0], // m x n
+			   BATCH);
+      synchronise();
+      RealD t1 = usecond();
+      RealD bytes = 1.0*sizeof(ComplexD)*(M*N*2+N*K+M*K)*BATCH;
+      flops = flops/(t1-t0)/1.e3;
+    }
+    return flops;
+  }
+
+
+
+
+};
+
+NAMESPACE_END(Grid);

Grid/allocator/AlignedAllocator.h

@@ -176,6 +176,7 @@ template<class T> using cshiftAllocator = std::allocator<T>;
 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> >;
 
 NAMESPACE_END(Grid);

Grid/cshift/Cshift_common.h

@@ -29,8 +29,27 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
 
 NAMESPACE_BEGIN(Grid);
 
-extern Vector<std::pair<int,int> > Cshift_table; 
+extern std::vector<std::pair<int,int> > Cshift_table; 
+extern commVector<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);
+  }
+  acceleratorCopyToDevice((void *)&Cshift_table[0],
+			  (void *)&Cshift_table_device[0],
+			  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 
 ///////////////////////////////////////////////////////////////////
@@ -74,7 +93,7 @@ Gather_plane_simple (const Lattice<vobj> &rhs,cshiftVector<vobj> &buffer,int dim
   }
   {
     auto buffer_p = & buffer[0];
-    auto table = &Cshift_table[0];
+    auto table = MapCshiftTable();
 #ifdef ACCELERATOR_CSHIFT
     autoView(rhs_v , rhs, AcceleratorRead);
     accelerator_for(i,ent,vobj::Nsimd(),{
@@ -225,7 +244,7 @@ template<class vobj> void Scatter_plane_simple (Lattice<vobj> &rhs,cshiftVector<
   
   {
     auto buffer_p = & buffer[0];
-    auto table = &Cshift_table[0];
+    auto table = MapCshiftTable();
 #ifdef ACCELERATOR_CSHIFT    
     autoView( rhs_v, rhs, AcceleratorWrite);
     accelerator_for(i,ent,vobj::Nsimd(),{
@@ -297,30 +316,6 @@ template<class vobj> void Scatter_plane_merge(Lattice<vobj> &rhs,ExtractPointerA
   }
 }
 
-#if (defined(GRID_CUDA) || defined(GRID_HIP)) && defined(ACCELERATOR_CSHIFT)
-
-template <typename T>
-T iDivUp(T a, T b) // Round a / b to nearest higher integer value
-{ return (a % b != 0) ? (a / b + 1) : (a / b); }
-
-template <typename T>
-__global__ void populate_Cshift_table(T* vector, T lo, T ro, T e1, T e2, T stride)
-{
-    int idx = blockIdx.x*blockDim.x + threadIdx.x;
-    if (idx >= e1*e2) return;
-
-    int n, b, o;
-
-    n = idx / e2;
-    b = idx % e2;
-    o = n*stride + b;
-
-    vector[2*idx + 0] = lo + o;
-    vector[2*idx + 1] = ro + o;
-}
-
-#endif
-
 //////////////////////////////////////////////////////
 // local to node block strided copies
 //////////////////////////////////////////////////////
@@ -345,20 +340,12 @@ template<class vobj> void Copy_plane(Lattice<vobj>& lhs,const Lattice<vobj> &rhs
   int ent=0;
 
   if(cbmask == 0x3 ){
-#if (defined(GRID_CUDA) || defined(GRID_HIP)) && defined(ACCELERATOR_CSHIFT)
-    ent = e1*e2;
-    dim3 blockSize(acceleratorThreads());
-    dim3 gridSize(iDivUp((unsigned int)ent, blockSize.x));
-    populate_Cshift_table<<<gridSize, blockSize>>>(&Cshift_table[0].first, lo, ro, e1, e2, stride);
-    accelerator_barrier();
-#else
     for(int n=0;n<e1;n++){
       for(int b=0;b<e2;b++){
         int o =n*stride+b;
 	Cshift_table[ent++] = std::pair<int,int>(lo+o,ro+o);
       }
     }
-#endif
   } else { 
     for(int n=0;n<e1;n++){
       for(int b=0;b<e2;b++){
@@ -372,7 +359,7 @@ template<class vobj> void Copy_plane(Lattice<vobj>& lhs,const Lattice<vobj> &rhs
   }
 
   {
-    auto table = &Cshift_table[0];
+    auto table = MapCshiftTable();
 #ifdef ACCELERATOR_CSHIFT    
     autoView(rhs_v , rhs, AcceleratorRead);
     autoView(lhs_v , lhs, AcceleratorWrite);
@@ -409,19 +396,11 @@ template<class vobj> void Copy_plane_permute(Lattice<vobj>& lhs,const Lattice<vo
   int ent=0;
 
   if ( cbmask == 0x3 ) {
-#if (defined(GRID_CUDA) || defined(GRID_HIP)) && defined(ACCELERATOR_CSHIFT)
-    ent = e1*e2;
-    dim3 blockSize(acceleratorThreads());
-    dim3 gridSize(iDivUp((unsigned int)ent, blockSize.x));
-    populate_Cshift_table<<<gridSize, blockSize>>>(&Cshift_table[0].first, lo, ro, e1, e2, stride);
-    accelerator_barrier();
-#else
     for(int n=0;n<e1;n++){
     for(int b=0;b<e2;b++){
       int o  =n*stride;
       Cshift_table[ent++] = std::pair<int,int>(lo+o+b,ro+o+b);
     }}
-#endif
   } else {
     for(int n=0;n<e1;n++){
     for(int b=0;b<e2;b++){
@@ -432,7 +411,7 @@ template<class vobj> void Copy_plane_permute(Lattice<vobj>& lhs,const Lattice<vo
   }
 
   {
-    auto table = &Cshift_table[0];
+    auto table = MapCshiftTable();
 #ifdef ACCELERATOR_CSHIFT    
     autoView( rhs_v, rhs, AcceleratorRead);
     autoView( lhs_v, lhs, AcceleratorWrite);

Grid/cshift/Cshift_mpi.h

@@ -52,7 +52,8 @@ template<class vobj> Lattice<vobj> Cshift(const Lattice<vobj> &rhs,int dimension
   int comm_dim        = rhs.Grid()->_processors[dimension] >1 ;
   int splice_dim      = rhs.Grid()->_simd_layout[dimension]>1 && (comm_dim);
 
-
+  RealD t1,t0;
+  t0=usecond();
   if ( !comm_dim ) {
     //std::cout << "CSHIFT: Cshift_local" <<std::endl;
     Cshift_local(ret,rhs,dimension,shift); // Handles checkerboarding
@@ -63,6 +64,8 @@ template<class vobj> Lattice<vobj> Cshift(const Lattice<vobj> &rhs,int dimension
     //std::cout << "CSHIFT: Cshift_comms" <<std::endl;
     Cshift_comms(ret,rhs,dimension,shift);
   }
+  t1=usecond();
+  //  std::cout << GridLogPerformance << "Cshift took "<< (t1-t0)/1e3 << " ms"<<std::endl;
   return ret;
 }
 
@@ -127,16 +130,20 @@ template<class vobj> void Cshift_comms(Lattice<vobj> &ret,const Lattice<vobj> &r
     
   int cb= (cbmask==0x2)? Odd : Even;
   int sshift= rhs.Grid()->CheckerBoardShiftForCB(rhs.Checkerboard(),dimension,shift,cb);
-
+  RealD tcopy=0.0;
+  RealD tgather=0.0;
+  RealD tscatter=0.0;
+  RealD tcomms=0.0;
+  uint64_t xbytes=0;
   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;
@@ -144,26 +151,39 @@ template<class vobj> void Cshift_comms(Lattice<vobj> &ret,const Lattice<vobj> &r
 
       int bytes = words * sizeof(vobj);
 
+      tgather-=usecond();
       Gather_plane_simple (rhs,send_buf,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);
       
-      grid->Barrier();
+      tcomms-=usecond();
+      //      grid->Barrier();
 
       grid->SendToRecvFrom((void *)&send_buf[0],
 			   xmit_to_rank,
 			   (void *)&recv_buf[0],
 			   recv_from_rank,
 			   bytes);
+      xbytes+=bytes;
+      //      grid->Barrier();
+      tcomms+=usecond();
 
-      grid->Barrier();
+      tscatter-=usecond();
-
       Scatter_plane_simple (ret,recv_buf,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)
@@ -190,6 +210,12 @@ template<class vobj> void  Cshift_comms_simd(Lattice<vobj> &ret,const Lattice<vo
   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);
 
   ///////////////////////////////////////////////
@@ -227,7 +253,9 @@ template<class vobj> void  Cshift_comms_simd(Lattice<vobj> &ret,const Lattice<vo
       pointers[i] = &send_buf_extract[i][0];
     }
     int sx   = (x+sshift)%rd;
+    tgather-=usecond();
     Gather_plane_extract(rhs,pointers,dimension,sx,cbmask);
+    tgather+=usecond();
 
     for(int i=0;i<Nsimd;i++){
       
@@ -252,7 +280,8 @@ template<class vobj> void  Cshift_comms_simd(Lattice<vobj> &ret,const Lattice<vo
       if(nbr_proc){
 	grid->ShiftedRanks(dimension,nbr_proc,xmit_to_rank,recv_from_rank); 
 
-	grid->Barrier();
+	tcomms-=usecond();
+	//	grid->Barrier();
 
 	send_buf_extract_mpi = &send_buf_extract[nbr_lane][0];
 	recv_buf_extract_mpi = &recv_buf_extract[i][0];
@@ -262,7 +291,9 @@ template<class vobj> void  Cshift_comms_simd(Lattice<vobj> &ret,const Lattice<vo
 			     recv_from_rank,
 			     bytes);
 
-	grid->Barrier();
+	xbytes+=bytes;
+	//	grid->Barrier();
+	tcomms+=usecond();
 
 	rpointers[i] = &recv_buf_extract[i][0];
       } else { 
@@ -270,9 +301,17 @@ 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();
   }
-
+  /*
+  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)
@@ -292,6 +331,11 @@ template<class vobj> void Cshift_comms(Lattice<vobj> &ret,const Lattice<vobj> &r
   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);
@@ -315,7 +359,9 @@ template<class vobj> void Cshift_comms(Lattice<vobj> &ret,const Lattice<vobj> &r
     
     if (comm_proc==0) {
 
+      tcopy-=usecond();
       Copy_plane(ret,rhs,dimension,x,sx,cbmask); 
+      tcopy+=usecond();
 
     } else {
 
@@ -324,7 +370,9 @@ template<class vobj> void Cshift_comms(Lattice<vobj> &ret,const Lattice<vobj> &r
 
       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;
@@ -332,7 +380,8 @@ template<class vobj> void Cshift_comms(Lattice<vobj> &ret,const Lattice<vobj> &r
       grid->ShiftedRanks(dimension,comm_proc,xmit_to_rank,recv_from_rank);
 
 
-      grid->Barrier();
+      tcomms-=usecond();
+      //      grid->Barrier();
 
       acceleratorCopyDeviceToDevice((void *)&send_buf_v[0],(void *)&send_buf[0],bytes);
       grid->SendToRecvFrom((void *)&send_buf[0],
@@ -340,13 +389,24 @@ template<class vobj> void Cshift_comms(Lattice<vobj> &ret,const Lattice<vobj> &r
 			   (void *)&recv_buf[0],
 			   recv_from_rank,
 			   bytes);
+      xbytes+=bytes;
       acceleratorCopyDeviceToDevice((void *)&recv_buf[0],(void *)&recv_buf_v[0],bytes);
 
-      grid->Barrier();
+      //      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)
@@ -372,6 +432,11 @@ template<class vobj> void  Cshift_comms_simd(Lattice<vobj> &ret,const Lattice<vo
   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);
 
@@ -414,8 +479,10 @@ template<class vobj> void  Cshift_comms_simd(Lattice<vobj> &ret,const Lattice<vo
     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++){
       
@@ -440,7 +507,8 @@ template<class vobj> void  Cshift_comms_simd(Lattice<vobj> &ret,const Lattice<vo
       if(nbr_proc){
 	grid->ShiftedRanks(dimension,nbr_proc,xmit_to_rank,recv_from_rank); 
 
-	grid->Barrier();
+	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,
@@ -449,17 +517,28 @@ template<class vobj> void  Cshift_comms_simd(Lattice<vobj> &ret,const Lattice<vo
 			     recv_from_rank,
 			     bytes);
 	acceleratorCopyDeviceToDevice((void *)recv_buf_extract_mpi,(void *)&recv_buf_extract[i][0],bytes);
+	xbytes+=bytes;
 
-	grid->Barrier();
+	//	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"<<std::endl;
+  */
 }
 #endif
 NAMESPACE_END(Grid); 

Grid/cshift/Cshift_table.cc

@@ -1,4 +1,5 @@
 #include <Grid/GridCore.h>       
 NAMESPACE_BEGIN(Grid);
-Vector<std::pair<int,int> > Cshift_table; 
+std::vector<std::pair<int,int> > Cshift_table; 
+commVector<std::pair<int,int> > Cshift_table_device; 
 NAMESPACE_END(Grid);

Grid/lattice/Lattice_arith.h

@@ -270,5 +270,42 @@ RealD axpby_norm(Lattice<vobj> &ret,sobj a,sobj b,const Lattice<vobj> &x,const L
     return axpby_norm_fast(ret,a,b,x,y);
 }
 
+/// Trace product
+template<class obj> auto traceProduct(const Lattice<obj> &rhs_1,const Lattice<obj> &rhs_2)
+  -> Lattice<decltype(trace(obj()))>
+{
+  typedef decltype(trace(obj())) robj;
+  Lattice<robj> ret_i(rhs_1.Grid());
+  autoView( rhs1 , rhs_1, AcceleratorRead);
+  autoView( rhs2 , rhs_2, AcceleratorRead);
+  autoView( ret , ret_i, AcceleratorWrite);
+  ret.Checkerboard() = rhs_1.Checkerboard();
+  accelerator_for(ss,rhs1.size(),obj::Nsimd(),{
+      coalescedWrite(ret[ss],traceProduct(rhs1(ss),rhs2(ss)));
+  });
+  return ret_i;
+}
+
+template<class obj1,class obj2> auto traceProduct(const Lattice<obj1> &rhs_1,const obj2 &rhs2)
+  -> Lattice<decltype(trace(obj1()))>
+{
+  typedef decltype(trace(obj1())) robj;
+  Lattice<robj> ret_i(rhs_1.Grid());
+  autoView( rhs1 , rhs_1, AcceleratorRead);
+  autoView( ret , ret_i, AcceleratorWrite);
+  ret.Checkerboard() = rhs_1.Checkerboard();
+  accelerator_for(ss,rhs1.size(),obj1::Nsimd(),{
+      coalescedWrite(ret[ss],traceProduct(rhs1(ss),rhs2));
+  });
+  return ret_i;
+}
+template<class obj1,class obj2> auto traceProduct(const obj2 &rhs_2,const Lattice<obj1> &rhs_1)
+  -> Lattice<decltype(trace(obj1()))>
+{
+  return traceProduct(rhs_1,rhs_2);
+}
+
+
+
 NAMESPACE_END(Grid);
 #endif

Grid/lattice/Lattice_basis.h

@@ -62,7 +62,7 @@ void basisRotate(VField &basis,Matrix& Qt,int j0, int j1, int k0,int k1,int Nm)
     basis_v.push_back(basis[k].View(AcceleratorWrite));
   }
 
-#if ( (!defined(GRID_CUDA)) )
+#if ( !(defined(GRID_CUDA) || defined(GRID_HIP) || defined(GRID_SYCL)) )
   int max_threads = thread_max();
   Vector < vobj > Bt(Nm * max_threads);
   thread_region

Grid/lattice/Lattice_reduction.h

@@ -31,6 +31,7 @@ Author: Christoph Lehner <christoph@lhnr.de>
 #if defined(GRID_SYCL)
 #include <Grid/lattice/Lattice_reduction_sycl.h>
 #endif
+#include <Grid/lattice/Lattice_slicesum_core.h>
 
 NAMESPACE_BEGIN(Grid);
 
@@ -448,19 +449,10 @@ template<class vobj> inline void sliceSum(const Lattice<vobj> &Data,std::vector<
   int e1=    grid->_slice_nblock[orthogdim];
   int e2=    grid->_slice_block [orthogdim];
   int stride=grid->_slice_stride[orthogdim];
+  int ostride=grid->_ostride[orthogdim];
   
-  // sum over reduced dimension planes, breaking out orthog dir
+  //Reduce Data down to lvSum
-  // Parallel over orthog direction
+  sliceSumReduction(Data,lvSum,rd, e1,e2,stride,ostride,Nsimd);
-  autoView( Data_v, Data, CpuRead);
-  thread_for( r,rd, {
-    int so=r*grid->_ostride[orthogdim]; // base offset for start of plane 
-    for(int n=0;n<e1;n++){
-      for(int b=0;b<e2;b++){
-	int ss= so+n*stride+b;
-	lvSum[r]=lvSum[r]+Data_v[ss];
-      }
-    }
-  });
 
   // Sum across simd lanes in the plane, breaking out orthog dir.
   Coordinate icoor(Nd);
@@ -504,6 +496,7 @@ sliceSum(const Lattice<vobj> &Data,int orthogdim)
   return result;
 }
 
+
 template<class vobj>
 static void sliceInnerProductVector( std::vector<ComplexD> & result, const Lattice<vobj> &lhs,const Lattice<vobj> &rhs,int orthogdim) 
 {

Grid/lattice/Lattice_reduction_gpu.h

@@ -30,7 +30,7 @@ int getNumBlocksAndThreads(const Iterator n, const size_t sizeofsobj, Iterator &
   cudaGetDevice(&device);
 #endif
 #ifdef GRID_HIP
-  hipGetDevice(&device);
+  auto r=hipGetDevice(&device);
 #endif
   
   Iterator warpSize            = gpu_props[device].warpSize;

Grid/lattice/Lattice_rng.h

@@ -152,6 +152,7 @@ public:
 #ifdef RNG_FAST_DISCARD
   static void Skip(RngEngine &eng,uint64_t site)
   {
+#if 0
     /////////////////////////////////////////////////////////////////////////////////////
     // Skip by 2^40 elements between successive lattice sites
     // This goes by 10^12.
@@ -179,6 +180,9 @@ public:
     assert((skip >> shift)==site); // check for overflow
 
     eng.discard(skip);
+#else
+    eng.discardhi(site);
+#endif
     //      std::cout << " Engine  " <<site << " state " <<eng<<std::endl;
   } 
 #endif

Grid/lattice/Lattice_slicesum_core.h

@@ -0,0 +1,213 @@
+#pragma once
+#include <type_traits>
+#if defined(GRID_CUDA)
+
+#include <cub/cub.cuh>
+#define gpucub cub
+#define gpuError_t cudaError_t
+#define gpuSuccess cudaSuccess
+
+#elif defined(GRID_HIP)
+
+#include <hipcub/hipcub.hpp>
+#define gpucub hipcub
+#define gpuError_t hipError_t
+#define gpuSuccess hipSuccess
+
+#endif
+
+
+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) {
+  size_t subvol_size = e1*e2;
+  commVector<vobj> reduction_buffer(rd*subvol_size);
+  auto rb_p = &reduction_buffer[0];
+  vobj zero_init;
+  zeroit(zero_init);
+
+  
+  void *temp_storage_array = NULL;
+  size_t temp_storage_bytes = 0;
+  vobj *d_out;
+  int* d_offsets;
+
+  std::vector<int> offsets(rd+1,0);
+
+  for (int i = 0; i < offsets.size(); i++) {
+    offsets[i] = i*subvol_size;
+  }
+  
+  //Allocate memory for output and offset arrays on device
+  d_out = static_cast<vobj*>(acceleratorAllocDevice(rd*sizeof(vobj)));
+  
+  d_offsets = static_cast<int*>(acceleratorAllocDevice((rd+1)*sizeof(int)));
+  
+  //copy offsets to device
+  acceleratorCopyToDeviceAsync(&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);
+  if (gpuErr!=gpuSuccess) {
+    std::cout << GridLogError << "Lattice_slicesum_gpu.h: Encountered error during gpucub::DeviceSegmentedReduce::Reduce (setup)! Error: " << gpuErr <<std::endl;
+    exit(EXIT_FAILURE);
+  }
+
+  //allocate memory for temp_storage_array  
+  temp_storage_array = acceleratorAllocDevice(temp_storage_bytes);
+  
+  //prepare buffer for reduction
+  //use non-blocking accelerator_for to avoid syncs (ok because we submit to same computeStream)
+  //use 2d accelerator_for to avoid launch latencies found when serially looping over rd 
+  accelerator_for2dNB( s,subvol_size, r,rd, Nsimd,{ 
+  
+    int n = s / e2;
+    int b = s % e2;
+    int so=r*ostride; // base offset for start of plane 
+    int ss= so+n*stride+b;
+
+    coalescedWrite(rb_p[r*subvol_size+s], coalescedRead(Data[ss]));
+
+  });
+  
+  //issue segmented reductions in computeStream
+  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);
+  if (gpuErr!=gpuSuccess) {
+    std::cout << GridLogError << "Lattice_slicesum_gpu.h: Encountered error during gpucub::DeviceSegmentedReduce::Reduce! Error: " << gpuErr <<std::endl;
+    exit(EXIT_FAILURE);
+  }
+  
+  acceleratorCopyFromDeviceAsync(d_out,&lvSum[0],rd*sizeof(vobj),computeStream);
+  
+  //sync after copy
+  accelerator_barrier();
+ 
+  acceleratorFreeDevice(temp_storage_array);
+  acceleratorFreeDevice(d_out);
+  acceleratorFreeDevice(d_offsets);
+  
+
+}
+
+template<class vobj> inline void sliceSumReduction_cub_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) {
+  typedef typename vobj::vector_type vector;
+  const int words = sizeof(vobj)/sizeof(vector);
+  const int osites = rd*e1*e2;
+  commVector<vector>buffer(osites);
+  vector *dat = (vector *)Data;
+  vector *buf = &buffer[0];
+  Vector<vector> lvSum_small(rd);
+  vector *lvSum_ptr = (vector *)&lvSum[0];
+
+  for (int w = 0; w < words; w++) {
+    accelerator_for(ss,osites,1,{
+	    buf[ss] = dat[ss*words+w];
+    });
+
+    sliceSumReduction_cub_small(buf,lvSum_small,rd,e1,e2,stride, ostride,Nsimd);
+      
+    for (int r = 0; r < rd; r++) {
+      lvSum_ptr[w+words*r]=lvSum_small[r];
+    }
+
+  }
+
+  
+}
+
+template<class vobj> inline void sliceSumReduction_cub(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)
+{
+  autoView(Data_v, Data, AcceleratorRead); //hipcub/cub cannot deal with large vobjs so we split into small/large case.
+    if constexpr (sizeof(vobj) <= 256) { 
+      sliceSumReduction_cub_small(&Data_v[0], lvSum, rd, e1, e2, stride, ostride, Nsimd);
+    }
+    else {
+      sliceSumReduction_cub_large(&Data_v[0], lvSum, rd, e1, e2, stride, ostride, Nsimd);
+    }
+}
+#endif
+
+
+#if defined(GRID_SYCL)
+template<class vobj> inline void sliceSumReduction_sycl(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)
+{
+  typedef typename vobj::scalar_object sobj;
+  size_t subvol_size = e1*e2;
+
+  vobj *mysum = (vobj *) malloc_shared(sizeof(vobj),*theGridAccelerator);
+  vobj vobj_zero;
+  zeroit(vobj_zero);
+    
+  commVector<vobj> reduction_buffer(rd*subvol_size);    
+
+  auto rb_p = &reduction_buffer[0];
+
+  autoView(Data_v, Data, AcceleratorRead);
+
+  //prepare reduction buffer 
+  accelerator_for2d( s,subvol_size, r,rd, (size_t)Nsimd,{ 
+  
+      int n = s / e2;
+      int b = s % e2;
+      int so=r*ostride; // base offset for start of plane 
+      int ss= so+n*stride+b;
+
+      coalescedWrite(rb_p[r*subvol_size+s], coalescedRead(Data_v[ss]));
+
+  });
+
+  for (int r = 0; r < rd; r++) {
+      mysum[0] = vobj_zero; //dirty hack: cannot pass vobj_zero as identity to sycl::reduction as its not device_copyable
+      theGridAccelerator->submit([&](cl::sycl::handler &cgh) {
+          auto Reduction = cl::sycl::reduction(mysum,std::plus<>());
+          cgh.parallel_for(cl::sycl::range<1>{subvol_size},
+          Reduction,
+          [=](cl::sycl::id<1> item, auto &sum) {
+              auto s = item[0];
+              sum += rb_p[r*subvol_size+s];
+          });
+      });
+      theGridAccelerator->wait();
+      lvSum[r] = mysum[0];
+  }
+  
+  free(mysum,*theGridAccelerator);
+}
+#endif
+
+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)
+{
+  // sum over reduced dimension planes, breaking out orthog dir
+  // Parallel over orthog direction
+  autoView( Data_v, Data, CpuRead);
+  thread_for( r,rd, {
+    int so=r*ostride; // base offset for start of plane 
+    for(int n=0;n<e1;n++){
+      for(int b=0;b<e2;b++){
+        int ss= so+n*stride+b;
+        lvSum[r]=lvSum[r]+Data_v[ss];
+      }
+    }
+  });
+}
+
+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) 
+{
+  #if defined(GRID_CUDA) || defined(GRID_HIP)
+  
+  sliceSumReduction_cub(Data, lvSum, rd, e1, e2, stride, ostride, Nsimd);
+  
+  #elif defined(GRID_SYCL)
+  
+  sliceSumReduction_sycl(Data, lvSum, rd, e1, e2, stride, ostride, Nsimd);
+  
+  #else
+  sliceSumReduction_cpu(Data, lvSum, rd, e1, e2, stride, ostride, Nsimd);
+
+  #endif
+}
+
+
+NAMESPACE_END(Grid);

Grid/lattice/Lattice_transfer.h

@@ -469,15 +469,13 @@ inline void blockSum(Lattice<vobj> &coarseData,const Lattice<vobj> &fineData)
   Coordinate fine_rdimensions = fine->_rdimensions;
   Coordinate coarse_rdimensions = coarse->_rdimensions;
 
-  vobj zz = Zero();
-  
   accelerator_for(sc,coarse->oSites(),1,{
 
       // One thread per sub block
       Coordinate coor_c(_ndimension);
       Lexicographic::CoorFromIndex(coor_c,sc,coarse_rdimensions);  // Block coordinate
 
-      vobj cd = zz;
+      vobj cd = Zero();
       
       for(int sb=0;sb<blockVol;sb++){
 

Grid/lattice/Lattice_view.h

@@ -45,6 +45,7 @@ public:
   };
   // Host only
   GridBase * getGrid(void) const { return _grid; };
+  vobj* getHostPointer(void) const { return _odata; };
 };
 
 /////////////////////////////////////////////////////////////////////////////////////////

Grid/log/Log.h

@@ -179,11 +179,11 @@ extern GridLogger GridLogSolver;
 extern GridLogger GridLogError;
 extern GridLogger GridLogWarning;
 extern GridLogger GridLogMessage;
-extern GridLogger GridLogDebug  ;
+extern GridLogger GridLogDebug;
 extern GridLogger GridLogPerformance;
 extern GridLogger GridLogDslash;
-extern GridLogger GridLogIterative  ;
+extern GridLogger GridLogIterative;
-extern GridLogger GridLogIntegrator  ;
+extern GridLogger GridLogIntegrator;
 extern GridLogger GridLogHMC;
 extern GridLogger GridLogMemory;
 extern GridLogger GridLogTracing;
@@ -191,6 +191,41 @@ extern Colours    GridLogColours;
 
 std::string demangle(const char* name) ;
 
+template<typename... Args>
+inline std::string sjoin(Args&&... args) noexcept {
+    std::ostringstream msg;
+    (msg << ... << args);
+    return msg.str();
+}
+
+/*!  @brief make log messages work like python print */
+template <typename... Args>
+inline void Grid_log(Args&&... args) {
+    std::string msg = sjoin(std::forward<Args>(args)...);
+    std::cout << GridLogMessage << msg << std::endl;
+}
+
+/*!  @brief make warning messages work like python print */
+template <typename... Args>
+inline void Grid_warn(Args&&... args) {
+    std::string msg = sjoin(std::forward<Args>(args)...);
+    std::cout << "\033[33m" << GridLogWarning << msg << "\033[0m" << std::endl;
+}
+
+/*!  @brief make error messages work like python print */
+template <typename... Args>
+inline void Grid_error(Args&&... args) {
+    std::string msg = sjoin(std::forward<Args>(args)...);
+    std::cout << "\033[31m" << GridLogError << msg << "\033[0m" << std::endl;
+}
+
+/*!  @brief make pass messages work like python print */
+template <typename... Args>
+inline void Grid_pass(Args&&... args) {
+    std::string msg = sjoin(std::forward<Args>(args)...);
+    std::cout << "\033[32m" << GridLogMessage << msg << "\033[0m" << std::endl;
+}
+
 #define _NBACKTRACE (256)
 extern void * Grid_backtrace_buffer[_NBACKTRACE];
 

Grid/perfmon/Tracing.h

@@ -34,7 +34,7 @@ class GridTracer {
 };
 inline void tracePush(const char *name) { roctxRangePushA(name); }
 inline void tracePop(const char *name) { roctxRangePop(); }
-inline int  traceStart(const char *name) { roctxRangeStart(name); }
+inline int  traceStart(const char *name) { return roctxRangeStart(name); }
 inline void traceStop(int ID) { roctxRangeStop(ID); }
 #endif
 

Grid/qcd/action/ActionBase.h

@@ -129,6 +129,22 @@ public:
   virtual ~Action(){}
 };
 
+template <class GaugeField >
+class EmptyAction : public Action <GaugeField>
+{
+  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
+
+  ///////////////////////////////
+  // Logging
+  ///////////////////////////////
+  virtual std::string action_name()    { return std::string("Level Force Log"); };
+  virtual std::string LogParameters()  { return std::string("No parameters");};
+};
+
+
+
 NAMESPACE_END(Grid);
 
 #endif // ACTION_BASE_H

Grid/qcd/action/ActionCore.h

@@ -67,7 +67,6 @@ NAMESPACE_CHECK(Scalar);
 #include <Grid/qcd/utils/Metric.h>
 NAMESPACE_CHECK(Metric);
 #include <Grid/qcd/utils/CovariantLaplacian.h>
-#include <Grid/qcd/utils/CovariantLaplacianRat.h>
 NAMESPACE_CHECK(CovariantLaplacian);
 
 

Grid/qcd/action/ActionParams.h

@@ -65,19 +65,6 @@ struct WilsonImplParams {
   }
 };
 
-struct GaugeImplParams {
-//  bool overlapCommsCompute;
-//  AcceleratorVector<Real,Nd> twist_n_2pi_L;
-  AcceleratorVector<Complex,Nd> boundary_phases;
-  GaugeImplParams()  {
-    boundary_phases.resize(Nd, 1.0);
-//      twist_n_2pi_L.resize(Nd, 0.0);
-  };
-  GaugeImplParams(const AcceleratorVector<Complex,Nd> phi) : boundary_phases(phi) {
-//    twist_n_2pi_L.resize(Nd, 0.0);
-  }
-};
-
 struct StaggeredImplParams {
   Coordinate dirichlet; // Blocksize of dirichlet BCs
   int  partialDirichlet;

Grid/qcd/action/fermion/WilsonTMFermion.h

@@ -63,6 +63,8 @@ public:
   virtual void MooeeDag(const FermionField &in, FermionField &out) ;
   virtual void MooeeInv(const FermionField &in, FermionField &out) ;
   virtual void MooeeInvDag(const FermionField &in, FermionField &out) ;
+  virtual void M(const FermionField &in, FermionField &out) ;
+  virtual void Mdag(const FermionField &in, FermionField &out) ;
   
 private:
   RealD mu; // TwistedMass parameter

Grid/qcd/action/fermion/implementation/WilsonTMFermionImplementation.h

@@ -93,5 +93,25 @@ void WilsonTMFermion<Impl>::MooeeInvDag(const FermionField &in, FermionField &ou
   RealD b    = tm /sq;
   axpibg5x(out,in,a,b);
 }
+template<class Impl>
+void WilsonTMFermion<Impl>::M(const FermionField &in, FermionField &out) {
+  out.Checkerboard() = in.Checkerboard();
+  this->Dhop(in, out, DaggerNo);
+  FermionField tmp(out.Grid());
+  RealD a = 4.0+this->mass;
+  RealD b = this->mu;
+  axpibg5x(tmp,in,a,b);
+  axpy(out, 1.0, tmp, out);
+}
+template<class Impl>
+void WilsonTMFermion<Impl>::Mdag(const FermionField &in, FermionField &out) {
+  out.Checkerboard() = in.Checkerboard();
+  this->Dhop(in, out, DaggerYes);
+  FermionField tmp(out.Grid());
+  RealD a = 4.0+this->mass;
+  RealD b = -this->mu;
+  axpibg5x(tmp,in,a,b);
+  axpy(out, 1.0, tmp, out);
+}
 
 NAMESPACE_END(Grid);

Grid/qcd/action/gauge/GaugeImplTypes.h

@@ -32,7 +32,7 @@ directory
 
 NAMESPACE_BEGIN(Grid);
 
-#undef CPS_MD_TIME
+#define CPS_MD_TIME
 
 #ifdef CPS_MD_TIME
 #define HMC_MOMENTUM_DENOMINATOR (2.0)

Grid/qcd/action/gauge/WilsonGaugeAction.h

@@ -42,13 +42,9 @@ template <class Gimpl>
 class WilsonGaugeAction : public Action<typename Gimpl::GaugeField> {
 public:  
   INHERIT_GIMPL_TYPES(Gimpl);
-  typedef GaugeImplParams ImplParams;
-  ImplParams Params;
 
   /////////////////////////// constructors
-  explicit WilsonGaugeAction(RealD beta_,
+  explicit WilsonGaugeAction(RealD beta_):beta(beta_){};
-		  const ImplParams &p = ImplParams()
-		  ):beta(beta_),Params(p){};
 
   virtual std::string action_name() {return "WilsonGaugeAction";}
 
@@ -60,53 +56,14 @@ public:
 
   virtual void refresh(const GaugeField &U, GridSerialRNG &sRNG, GridParallelRNG &pRNG){};  // noop as no pseudoferms
 
-// Umu<->U maximally confusing
-  virtual void boundary(const GaugeField &Umu, GaugeField &Ub){
-    typedef typename Simd::scalar_type scalar_type;
-    assert(Params.boundary_phases.size() == Nd);
-    GridBase *GaugeGrid=Umu.Grid();
-    GaugeLinkField U(GaugeGrid);
-    GaugeLinkField tmp(GaugeGrid);
-
-    Lattice<iScalar<vInteger> > coor(GaugeGrid);
-    for (int mu = 0; mu < Nd; mu++) {
-	////////// boundary phase /////////////
-      auto pha = Params.boundary_phases[mu];
-      scalar_type phase( real(pha),imag(pha) );
-      std::cout<< GridLogIterative << "[WilsonGaugeAction] boundary "<<mu<<" "<<phase<< std::endl; 
-
-	int L   = GaugeGrid->GlobalDimensions()[mu];
-        int Lmu = L - 1;
-
-      LatticeCoordinate(coor, mu);
-
-      U = PeekIndex<LorentzIndex>(Umu, mu);
-      tmp = where(coor == Lmu, phase * U, U);
-      PokeIndex<LorentzIndex>(Ub, tmp, mu);
-//      PokeIndex<LorentzIndex>(Ub, U, mu);
-//      PokeIndex<LorentzIndex>(Umu, tmp, mu);
-
-    }
-  };
-
   virtual RealD S(const GaugeField &U) {
-    GaugeField Ub(U.Grid());
+    RealD plaq = WilsonLoops<Gimpl>::avgPlaquette(U);
-    this->boundary(U,Ub);
+    RealD vol = U.Grid()->gSites();
-    static RealD lastG=0.;
-    RealD plaq = WilsonLoops<Gimpl>::avgPlaquette(Ub);
-    RealD vol = Ub.Grid()->gSites();
     RealD action = beta * (1.0 - plaq) * (Nd * (Nd - 1.0)) * vol * 0.5;
-    std::cout << GridLogMessage << "[WilsonGaugeAction] dH: " << action-lastG << std::endl;
-    RealD plaq_o = WilsonLoops<Gimpl>::avgPlaquette(U);
-    RealD action_o = beta * (1.0 - plaq_o) * (Nd * (Nd - 1.0)) * vol * 0.5;
-    std::cout << GridLogMessage << "[WilsonGaugeAction] U: " << action_o <<" Ub: "<< action  << std::endl;
-    lastG=action;
     return action;
   };
 
   virtual void deriv(const GaugeField &U, GaugeField &dSdU) {
-    GaugeField Ub(U.Grid());
-    this->boundary(U,Ub);
     // not optimal implementation FIXME
     // extend Ta to include Lorentz indexes
 
@@ -116,9 +73,10 @@ public:
     GaugeLinkField dSdU_mu(U.Grid());
     for (int mu = 0; mu < Nd; mu++) {
 
-      Umu = PeekIndex<LorentzIndex>(Ub, mu);
+      Umu = PeekIndex<LorentzIndex>(U, mu);
+      
       // Staple in direction mu
-      WilsonLoops<Gimpl>::Staple(dSdU_mu, Ub, mu);
+      WilsonLoops<Gimpl>::Staple(dSdU_mu, U, mu);
       dSdU_mu = Ta(Umu * dSdU_mu) * factor;
       
       PokeIndex<LorentzIndex>(dSdU, dSdU_mu, mu);

Grid/qcd/action/pseudofermion/ExactOneFlavourRatio.h

@@ -178,10 +178,7 @@ NAMESPACE_BEGIN(Grid);
         // Use chronological inverter to forecast solutions across poles
         std::vector<FermionField> prev_solns;
         if(use_heatbath_forecasting){ prev_solns.reserve(param.degree); }
-	MdagMLinearOperator<AbstractEOFAFermion<Impl> ,FermionField> MdagML(Lop);
+        ChronoForecast<AbstractEOFAFermion<Impl>, FermionField> Forecast;
-	MdagMLinearOperator<AbstractEOFAFermion<Impl> ,FermionField> MdagMR(Rop);
-//        ChronoForecast<AbstractEOFAFermion<Impl>, FermionField> Forecast;
-	ChronoForecast<MdagMLinearOperator<AbstractEOFAFermion<Impl>, FermionField> , FermionField> Forecast;
 
         // \Phi = ( \alpha_{0} + \sum_{k=1}^{N_{p}} \alpha_{l} * \gamma_{l} ) * \eta
         RealD N(PowerNegHalf.norm);
@@ -201,7 +198,7 @@ NAMESPACE_BEGIN(Grid);
           heatbathRefreshShiftCoefficients(0, -gamma_l);
           if(use_heatbath_forecasting){ // Forecast CG guess using solutions from previous poles
             Lop.Mdag(CG_src, Forecast_src);
-            CG_soln = Forecast(MdagML, Forecast_src, prev_solns);
+            CG_soln = Forecast(Lop, Forecast_src, prev_solns);
             SolverHBL(Lop, CG_src, CG_soln);
             prev_solns.push_back(CG_soln);
           } else {
@@ -228,7 +225,7 @@ NAMESPACE_BEGIN(Grid);
 	  heatbathRefreshShiftCoefficients(1, -gamma_l*PowerNegHalf.poles[k]);
           if(use_heatbath_forecasting){
             Rop.Mdag(CG_src, Forecast_src);
-            CG_soln = Forecast(MdagMR, Forecast_src, prev_solns);
+            CG_soln = Forecast(Rop, Forecast_src, prev_solns);
             SolverHBR(Rop, CG_src, CG_soln);
             prev_solns.push_back(CG_soln);
           } else {

Grid/qcd/action/scalar/ScalarImpl.h

@@ -1,6 +1,6 @@
 #pragma once
 
-#undef CPS_MD_TIME 
+#define CPS_MD_TIME 
 
 #ifdef CPS_MD_TIME
 #define HMC_MOMENTUM_DENOMINATOR (2.0)

Grid/qcd/hmc/GenericHMCrunner.h

@@ -121,19 +121,12 @@ public:
 
   template <class SmearingPolicy>
   void Run(SmearingPolicy &S) {
-    TrivialMetric<typename Implementation::Field> Mtr;
+    Runner(S);
-    Runner(S,Mtr);
-  }
-
-  template <class SmearingPolicy, class Metric>
-  void Run(SmearingPolicy &S, Metric &Mtr) {
-    Runner(S,Mtr);
   }
 
   void Run(){
     NoSmearing<Implementation> S;
-    TrivialMetric<typename Implementation::Field> Mtr;
+    Runner(S);
-    Runner(S,Mtr);
   }
 
   //Use the checkpointer to initialize the RNGs and the gauge field, writing the resulting gauge field into U.
@@ -183,15 +176,15 @@ public:
   //////////////////////////////////////////////////////////////////
 
 private:
-  template <class SmearingPolicy, class Metric>
+  template <class SmearingPolicy>
-  void Runner(SmearingPolicy &Smearing, Metric &Mtr) {
+  void Runner(SmearingPolicy &Smearing) {
     auto UGrid = Resources.GetCartesian();
     Field U(UGrid);
 
     initializeGaugeFieldAndRNGs(U);
 
     typedef IntegratorType<SmearingPolicy> TheIntegrator;
-    TheIntegrator MDynamics(UGrid, Parameters.MD, TheAction, Smearing,Mtr);
+    TheIntegrator MDynamics(UGrid, Parameters.MD, TheAction, Smearing);
 
     // Sets the momentum filter
     MDynamics.setMomentumFilter(*(Resources.GetMomentumFilter()));

Grid/qcd/hmc/HMC.h

@@ -55,8 +55,6 @@ struct HMCparameters: Serializable {
                                   Integer, NoMetropolisUntil,
 				  bool, PerformRandomShift, /* @brief Randomly shift the gauge configuration at the start of a trajectory */
                                   std::string, StartingType,
-				  Integer, SW,
-                                  RealD, Kappa,
                                   IntegratorParameters, MD)
 
   HMCparameters() {
@@ -112,8 +110,6 @@ private:
   IntegratorType &TheIntegrator;
   ObsListType Observables;
 
-  int traj_num;
-
   /////////////////////////////////////////////////////////
   // Metropolis step
   /////////////////////////////////////////////////////////
@@ -204,14 +200,14 @@ private:
 
     std::cout << GridLogMessage << "--------------------------------------------------\n";
     std::cout << GridLogMessage << " Molecular Dynamics evolution ";
-    TheIntegrator.integrate(U,traj_num);
+    TheIntegrator.integrate(U);
     std::cout << GridLogMessage << "--------------------------------------------------\n";
 
     //////////////////////////////////////////////////////////////////////////////////////////////////////
     // updated state action
     //////////////////////////////////////////////////////////////////////////////////////////////////////
     std::cout << GridLogMessage << "--------------------------------------------------\n";
-    std::cout << GridLogMessage << "Compute final action" <<std::endl;
+    std::cout << GridLogMessage << "Compute final action";
     RealD H1 = TheIntegrator.S(U);  
     std::cout << GridLogMessage << "--------------------------------------------------\n";
 
@@ -246,7 +242,7 @@ public:
   HybridMonteCarlo(HMCparameters _Pams, IntegratorType &_Int,
                    GridSerialRNG &_sRNG, GridParallelRNG &_pRNG, 
                    ObsListType _Obs, Field &_U)
-    : Params(_Pams), TheIntegrator(_Int), sRNG(_sRNG), pRNG(_pRNG), Observables(_Obs), Ucur(_U),traj_num(0) {}
+    : Params(_Pams), TheIntegrator(_Int), sRNG(_sRNG), pRNG(_pRNG), Observables(_Obs), Ucur(_U) {}
   ~HybridMonteCarlo(){};
 
   void evolve(void) {
@@ -262,9 +258,8 @@ public:
 
     for (int traj = Params.StartTrajectory; traj < FinalTrajectory; ++traj) {
 
-
       std::cout << GridLogHMC << "-- # Trajectory = " << traj << "\n";
-      traj_num=traj;
+
       if (traj < Params.StartTrajectory + Params.NoMetropolisUntil) {
       	std::cout << GridLogHMC << "-- Thermalization" << std::endl;
       }

Grid/qcd/hmc/integrators/Integrator.h

@@ -9,7 +9,6 @@ Copyright (C) 2015
 Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
 Author: Peter Boyle <paboyle@ph.ed.ac.uk>
 Author: Guido Cossu <cossu@post.kek.jp>
-Author: Chulwoo Jung <chulwoo@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
@@ -34,7 +33,6 @@ directory
 #define INTEGRATOR_INCLUDED
 
 #include <memory>
-#include <Grid/parallelIO/NerscIO.h>
 
 NAMESPACE_BEGIN(Grid);
 
@@ -43,19 +41,10 @@ public:
   GRID_SERIALIZABLE_CLASS_MEMBERS(IntegratorParameters,
 				  std::string, name,      // name of the integrator
 				  unsigned int, MDsteps,  // number of outer steps
-				  RealD, RMHMCTol,
-                                  RealD, RMHMCCGTol,
-                                  RealD, lambda0,
-                                  RealD, lambda1,
-                                  RealD, lambda2,
 				  RealD, trajL)           // trajectory length
 
   IntegratorParameters(int MDsteps_ = 10, RealD trajL_ = 1.0)
   : MDsteps(MDsteps_),
-   lambda0(0.1931833275037836),
-   lambda1(0.1931833275037836),
-   lambda2(0.1931833275037836),
-   RMHMCTol(1e-8),RMHMCCGTol(1e-8),
     trajL(trajL_) {};
 
   template <class ReaderClass, typename std::enable_if<isReader<ReaderClass>::value, int >::type = 0 >
@@ -86,14 +75,11 @@ public:
   double t_U;  // Track time passing on each level and for U and for P
   std::vector<double> t_P;  
 
-//  MomentaField P;
+  MomentaField P;
-  GeneralisedMomenta<FieldImplementation > P;
   SmearingPolicy& Smearer;
   RepresentationPolicy Representations;
   IntegratorParameters Params;
 
-  RealD Saux,Smom,Sg;
-
   //Filters allow the user to manipulate the conjugate momentum, for example to freeze links in DDHMC
   //It is applied whenever the momentum is updated / refreshed
   //The default filter does nothing
@@ -101,6 +87,8 @@ public:
 
   const ActionSet<Field, RepresentationPolicy> as;
 
+  ActionSet<Field,RepresentationPolicy> LevelForces;
+  
   //Get a pointer to a shared static instance of the "do-nothing" momentum filter to serve as a default
   static MomentumFilterBase<MomentaField> const* getDefaultMomFilter(){ 
     static MomentumFilterNone<MomentaField> filter;
@@ -110,16 +98,7 @@ public:
   void update_P(Field& U, int level, double ep) 
   {
     t_P[level] += ep;
-    update_P(P.Mom, U, level, ep);
+    update_P(P, U, level, ep);
-
-    std::cout << GridLogIntegrator << "[" << level << "] P " << " dt " << ep << " : t_P " << t_P[level] << std::endl;
-  }
-
-  void update_P2(Field& U, int level, double ep) 
-  {
-    t_P[level] += ep;
-    update_P2(P.Mom, U, level, ep);
-
     std::cout << GridLogIntegrator << "[" << level << "] P " << " dt " << ep << " : t_P " << t_P[level] << std::endl;
   }
 
@@ -142,174 +121,78 @@ public:
     }
   } update_P_hireps{};
 
+ 
   void update_P(MomentaField& Mom, Field& U, int level, double ep) {
     // input U actually not used in the fundamental case
     // Fundamental updates, include smearing
 
+    assert(as.size()==LevelForces.size());
+    
+    Field level_force(U.Grid()); level_force =Zero();
     for (int a = 0; a < as[level].actions.size(); ++a) {
+
       double start_full = usecond();
       Field force(U.Grid());
       conformable(U.Grid(), Mom.Grid());
 
-      Field& Us = Smearer.get_U(as[level].actions.at(a)->is_smeared);
       double start_force = usecond();
-      as[level].actions.at(a)->deriv(Us, force);  // deriv should NOT include Ta
 
-      std::cout << GridLogIntegrator << "Smearing (on/off): " << as[level].actions.at(a)->is_smeared << std::endl;
+      as[level].actions.at(a)->deriv_timer_start();
-      if (as[level].actions.at(a)->is_smeared) Smearer.smeared_force(force);
+      as[level].actions.at(a)->deriv(Smearer, force);  // deriv should NOT include Ta
+      as[level].actions.at(a)->deriv_timer_stop();
+
+      auto name = as[level].actions.at(a)->action_name();
+
       force = FieldImplementation::projectForce(force); // Ta for gauge fields
       double end_force = usecond();
-      Real force_abs = std::sqrt(norm2(force)/U.Grid()->gSites());
+      
-      std::cout << GridLogIntegrator << "["<<level<<"]["<<a<<"] Force average: " << force_abs << std::endl;
+      MomFilter->applyFilter(force);
+
+      std::cout << GridLogIntegrator << " update_P : Level [" << level <<"]["<<a <<"] "<<name<<" dt "<<ep<<  std::endl;
+
+      // track the total
+      level_force = level_force+force;
+
+      Real force_abs   = std::sqrt(norm2(force)/U.Grid()->gSites()); //average per-site norm.  nb. norm2(latt) = \sum_x norm2(latt[x]) 
+      Real impulse_abs = force_abs * ep * HMC_MOMENTUM_DENOMINATOR;    
+
+      Real force_max   = std::sqrt(maxLocalNorm2(force));
+      Real impulse_max = force_max * ep * HMC_MOMENTUM_DENOMINATOR;    
+
+      as[level].actions.at(a)->deriv_log(force_abs,force_max,impulse_abs,impulse_max);
+      
+      std::cout << GridLogIntegrator<< "["<<level<<"]["<<a<<"] dt           : " << ep <<" "<<name<<std::endl;
+      std::cout << GridLogIntegrator<< "["<<level<<"]["<<a<<"] Force average: " << force_abs <<" "<<name<<std::endl;
+      std::cout << GridLogIntegrator<< "["<<level<<"]["<<a<<"] Force max    : " << force_max <<" "<<name<<std::endl;
+      std::cout << GridLogIntegrator<< "["<<level<<"]["<<a<<"] Fdt average  : " << impulse_abs <<" "<<name<<std::endl;
+      std::cout << GridLogIntegrator<< "["<<level<<"]["<<a<<"] Fdt max      : " << impulse_max <<" "<<name<<std::endl;
+
       Mom -= force * ep* HMC_MOMENTUM_DENOMINATOR;; 
       double end_full = usecond();
       double time_full  = (end_full - start_full) / 1e3;
       double time_force = (end_force - start_force) / 1e3;
       std::cout << GridLogMessage << "["<<level<<"]["<<a<<"] P update elapsed time: " << time_full << " ms (force: " << time_force << " ms)"  << std::endl;
+
+    }
+
+    {
+      // total force
+      Real force_abs   = std::sqrt(norm2(level_force)/U.Grid()->gSites()); //average per-site norm.  nb. norm2(latt) = \sum_x norm2(latt[x]) 
+      Real impulse_abs = force_abs * ep * HMC_MOMENTUM_DENOMINATOR;    
+
+      Real force_max   = std::sqrt(maxLocalNorm2(level_force));
+      Real impulse_max = force_max * ep * HMC_MOMENTUM_DENOMINATOR;    
+      LevelForces[level].actions.at(0)->deriv_log(force_abs,force_max,impulse_abs,impulse_max);
     }
 
     // Force from the other representations
     as[level].apply(update_P_hireps, Representations, Mom, U, ep);
-  }
 
-  void update_P2(MomentaField& Mom, Field& U, int level, double ep) {
-    // input U actually not used in the fundamental case
-    // Fundamental updates, include smearing
-
-    std::cout << GridLogIntegrator << "U before update_P2: " << std::sqrt(norm2(U)) << std::endl;
-    // Generalised momenta  
-    // Derivative of the kinetic term must be computed before
-    // Mom is the momenta and gets updated by the 
-    // actions derivatives
-    MomentaField MomDer(P.Mom.Grid());
-    P.M.ImportGauge(U);
-    P.DerivativeU(P.Mom, MomDer);
-    std::cout << GridLogIntegrator << "MomDer update_P2: " << std::sqrt(norm2(MomDer)) << std::endl;
-//    Mom -= MomDer * ep;
-    Mom -= MomDer * ep * HMC_MOMENTUM_DENOMINATOR;
-    std::cout << GridLogIntegrator << "Mom update_P2: " << std::sqrt(norm2(Mom)) << std::endl;
-
-    // Auxiliary fields
-    P.update_auxiliary_momenta(ep*0.5 );
-    P.AuxiliaryFieldsDerivative(MomDer);
-    std::cout << GridLogIntegrator << "MomDer(Aux) update_P2: " << std::sqrt(norm2(Mom)) << std::endl;
-//    Mom -= MomDer * ep;
-    Mom -= MomDer * ep * HMC_MOMENTUM_DENOMINATOR;
-    P.update_auxiliary_momenta(ep*0.5 );
-
-    for (int a = 0; a < as[level].actions.size(); ++a) {
-      double start_full = usecond();
-      Field force(U.Grid());
-      conformable(U.Grid(), Mom.Grid());
-
-      Field& Us = Smearer.get_U(as[level].actions.at(a)->is_smeared);
-      double start_force = usecond();
-      as[level].actions.at(a)->deriv(Us, force);  // deriv should NOT include Ta
-
-      std::cout << GridLogIntegrator << "Smearing (on/off): " << as[level].actions.at(a)->is_smeared << std::endl;
-      if (as[level].actions.at(a)->is_smeared) Smearer.smeared_force(force);
-      force = FieldImplementation::projectForce(force); // Ta for gauge fields
-      double end_force = usecond();
-      Real force_abs = std::sqrt(norm2(force)/U.Grid()->gSites());
-      std::cout << GridLogIntegrator << "["<<level<<"]["<<a<<"] Force average: " << force_abs << std::endl;
-      Mom -= force * ep* HMC_MOMENTUM_DENOMINATOR;; 
-      double end_full = usecond();
-      double time_full  = (end_full - start_full) / 1e3;
-      double time_force = (end_force - start_force) / 1e3;
-      std::cout << GridLogMessage << "["<<level<<"]["<<a<<"] P update elapsed time: " << time_full << " ms (force: " << time_force << " ms)"  << std::endl;
-    }
-
-    // Force from the other representations
-    as[level].apply(update_P_hireps, Representations, Mom, U, ep);
-  }
-
-  void implicit_update_P(Field& U, int level, double ep, double ep1, bool intermediate = false) {
-    t_P[level] += ep;
-
-    double ep2= ep-ep1;
-
-    std::cout << GridLogIntegrator << "[" << level << "] P "
-              << " dt " << ep << " : t_P " << t_P[level] << std::endl;
-    std::cout << GridLogIntegrator << "U before implicit_update_P: " << std::sqrt(norm2(U)) << std::endl;
-    // Fundamental updates, include smearing
-    MomentaField Msum(P.Mom.Grid());
-    Msum = Zero();
-    for (int a = 0; a < as[level].actions.size(); ++a) {
-      // Compute the force terms for the lagrangian part
-      // We need to compute the derivative of the actions
-      // only once
-      Field force(U.Grid());
-      conformable(U.Grid(), P.Mom.Grid());
-      Field& Us = Smearer.get_U(as[level].actions.at(a)->is_smeared);
-      as[level].actions.at(a)->deriv(Us, force);  // deriv should NOT include Ta
-
-      std::cout << GridLogIntegrator << "Smearing (on/off): " << as[level].actions.at(a)->is_smeared << std::endl;
-      if (as[level].actions.at(a)->is_smeared) Smearer.smeared_force(force);
-      force = FieldImplementation::projectForce(force);  // Ta for gauge fields
-      Real force_abs = std::sqrt(norm2(force) / U.Grid()->gSites());
-      std::cout << GridLogIntegrator << "|Force| site average: " << force_abs
-                << std::endl;
-      Msum += force;
-    }
-
-    MomentaField NewMom = P.Mom;
-    MomentaField OldMom = P.Mom;
-    double threshold = Params.RMHMCTol;
-    P.M.ImportGauge(U);
-    MomentaField MomDer(P.Mom.Grid());
-    MomentaField MomDer1(P.Mom.Grid());
-    MomentaField AuxDer(P.Mom.Grid());
-    MomDer1 = Zero();
-    MomentaField diff(P.Mom.Grid());
-    double factor = 2.0;
-    if (intermediate){
-      P.DerivativeU(P.Mom, MomDer1);
-      factor = 1.0;
-    }
-//    std::cout << GridLogIntegrator << "MomDer1 implicit_update_P: " << std::sqrt(norm2(MomDer1)) << std::endl;
-
-    // Auxiliary fields
-    P.update_auxiliary_momenta(ep1);
-    P.AuxiliaryFieldsDerivative(AuxDer);
-    Msum += AuxDer;
-    
-
-    // Here run recursively
-    int counter = 1;
-    RealD RelativeError;
-    do {
-      std::cout << GridLogIntegrator << "UpdateP implicit step "<< counter << std::endl;
-
-      // Compute the derivative of the kinetic term
-      // with respect to the gauge field
-      P.DerivativeU(NewMom, MomDer);
-      Real force_abs = std::sqrt(norm2(MomDer) / U.Grid()->gSites());
-      std::cout << GridLogIntegrator << "|Force| laplacian site average: " << force_abs
-                << std::endl;
-
-//      NewMom = P.Mom - ep* 0.5 * HMC_MOMENTUM_DENOMINATOR * (2.0*Msum + factor*MomDer + MomDer1);// simplify
-      NewMom = P.Mom -  HMC_MOMENTUM_DENOMINATOR * (ep*Msum + ep1* factor*MomDer + ep2* MomDer1);// simplify
-      diff = NewMom - OldMom;
-      counter++;
-      RelativeError = std::sqrt(norm2(diff))/std::sqrt(norm2(NewMom));
-      std::cout << GridLogIntegrator << "UpdateP RelativeError: " << RelativeError << std::endl;
-      OldMom = NewMom;
-    } while (RelativeError > threshold);
-
-    P.Mom = NewMom;
-    std::cout << GridLogIntegrator << "NewMom implicit_update_P: " << std::sqrt(norm2(NewMom)) << std::endl;
-
-    // update the auxiliary fields momenta    
-    P.update_auxiliary_momenta(ep2);
-  }
-
-  void implicit_update_P(Field& U, int level, double ep, bool intermediate = false) {
-      implicit_update_P( U, level, ep, ep*0.5, intermediate ); 
   }
 
   void update_U(Field& U, double ep) 
   {
-    update_U(P.Mom, U, ep);
+    update_U(P, U, ep);
 
     t_U += ep;
     int fl = levels - 1;
@@ -318,8 +201,12 @@ public:
   
   void update_U(MomentaField& Mom, Field& U, double ep) 
   {
+    MomentaField MomFiltered(Mom.Grid());
+    MomFiltered = Mom;
+    MomFilter->applyFilter(MomFiltered);
+
     // exponential of Mom*U in the gauge fields case
-    FieldImplementation::update_field(Mom, U, ep);
+    FieldImplementation::update_field(MomFiltered, U, ep);
 
     // Update the smeared fields, can be implemented as observer
     Smearer.set_Field(U);
@@ -328,74 +215,18 @@ public:
     Representations.update(U);  // void functions if fundamental representation
   }
 
-  void implicit_update_U(Field&U, double ep, double ep1 ){
-    double ep2=ep-ep1;
-    t_U += ep;
-    int fl = levels - 1;
-    std::cout << GridLogIntegrator << "   " << "[" << fl << "] U " << " dt " << ep << " : t_U " << t_U << std::endl;
-    std::cout << GridLogIntegrator << "U before implicit_update_U: " << std::sqrt(norm2(U)) << std::endl;
-
-    MomentaField Mom1(P.Mom.Grid());
-    MomentaField Mom2(P.Mom.Grid());
-    RealD RelativeError;
-    Field diff(U.Grid());
-    Real threshold =  Params.RMHMCTol;
-    int counter = 1;
-    int MaxCounter = 100;
-
-    Field OldU = U;
-    Field NewU = U;
-
-    P.M.ImportGauge(U);
-    P.DerivativeP(Mom1); // first term in the derivative 
-    std::cout << GridLogIntegrator << "implicit_update_U: Mom1: " << std::sqrt(norm2(Mom1)) << std::endl;
-
-    P.update_auxiliary_fields(ep1);
-
-
-    MomentaField sum=Mom1;
-    do {
-      std::cout << GridLogIntegrator << "UpdateU implicit step "<< counter << std::endl;
-      
-      P.DerivativeP(Mom2); // second term in the derivative, on the updated U
-      std::cout << GridLogIntegrator << "implicit_update_U: Mom1: " << std::sqrt(norm2(Mom1)) << std::endl;
-      sum = (Mom1*ep1 + Mom2*ep2);
-
-      for (int mu = 0; mu < Nd; mu++) {
-        auto Umu = PeekIndex<LorentzIndex>(U, mu);
-        auto Pmu = PeekIndex<LorentzIndex>(sum, mu);
-        Umu = expMat(Pmu, 1, 12) * Umu;
-        PokeIndex<LorentzIndex>(NewU, ProjectOnGroup(Umu), mu);
-      }
-
-      diff = NewU - OldU;
-      RelativeError = std::sqrt(norm2(diff))/std::sqrt(norm2(NewU));
-      std::cout << GridLogIntegrator << "UpdateU RelativeError: " << RelativeError << std::endl;
-      
-      P.M.ImportGauge(NewU);
-      OldU = NewU; // some redundancy to be eliminated
-      counter++;
-    } while (RelativeError > threshold && counter < MaxCounter);
-
-    U = NewU;
-    std::cout << GridLogIntegrator << "NewU implicit_update_U: " << std::sqrt(norm2(U)) << std::endl;
-    P.update_auxiliary_fields(ep2);
-  }
-
-
   virtual void step(Field& U, int level, int first, int last) = 0;
 
 public:
   Integrator(GridBase* grid, IntegratorParameters Par,
              ActionSet<Field, RepresentationPolicy>& Aset,
-             SmearingPolicy& Sm, Metric<MomentaField>& M)
+             SmearingPolicy& Sm)
     : Params(Par),
       as(Aset),
-      P(grid, M),
+      P(grid),
       levels(Aset.size()),
       Smearer(Sm),
-      Representations(grid),
+      Representations(grid) 
-      Saux(0.),Smom(0.),Sg(0.)
   {
     t_P.resize(levels, 0.0);
     t_U = 0.0;
@@ -403,6 +234,16 @@ public:
 
     //Default the momentum filter to "do-nothing"
     MomFilter = getDefaultMomFilter();
+
+    for (int level = 0; level < as.size(); ++level) {
+      int multiplier = as.at(level).multiplier;
+      ActionLevel<Field, RepresentationPolicy> * Level = new ActionLevel<Field, RepresentationPolicy>(multiplier);
+      Level->push_back(new EmptyAction<Field>); 
+      LevelForces.push_back(*Level);
+      // does it copy by value or reference??
+      // - answer it copies by value, BUT the action level contains a reference that is NOT updated.
+      // Unsafe code in Guido's area
+    }
   };
 
   virtual ~Integrator() {}
@@ -420,10 +261,14 @@ public:
 
   void reset_timer(void)
   {
+    assert(as.size()==LevelForces.size());
     for (int level = 0; level < as.size(); ++level) {
       for (int actionID = 0; actionID < as[level].actions.size(); ++actionID) {
         as[level].actions.at(actionID)->reset_timer();
       }
+      int actionID=0;
+      assert(LevelForces.at(level).actions.size()==1);
+      LevelForces.at(level).actions.at(actionID)->reset_timer();
     }
   }
   void print_timer(void)
@@ -485,6 +330,16 @@ public:
 		  <<" calls "     << as[level].actions.at(actionID)->deriv_num
 		  << std::endl;
       }
+      int actionID=0;
+      std::cout << GridLogMessage 
+		  << LevelForces[level].actions.at(actionID)->action_name()
+		  <<"["<<level<<"]["<< actionID<<"] :\n\t\t "
+		  <<" force max " << LevelForces[level].actions.at(actionID)->deriv_max_average()
+		  <<" norm "      << LevelForces[level].actions.at(actionID)->deriv_norm_average()
+		  <<" Fdt max  "  << LevelForces[level].actions.at(actionID)->Fdt_max_average()
+		  <<" Fdt norm "  << LevelForces[level].actions.at(actionID)->Fdt_norm_average()
+		  <<" calls "     << LevelForces[level].actions.at(actionID)->deriv_num
+		  << std::endl;
     }
     std::cout << GridLogMessage << ":::::::::::::::::::::::::::::::::::::::::"<< std::endl;
   }
@@ -506,13 +361,19 @@ public:
 	std::cout << as[level].actions.at(actionID)->LogParameters();
       }
     }
+    std::cout << " [Integrator] Total Force loggers: "<< LevelForces.size() <<std::endl;
+    for (int level = 0; level < LevelForces.size(); ++level) {
+      std::cout << GridLogMessage << "[Integrator] ---- Level: "<< level << std::endl;
+      for (int actionID = 0; actionID < LevelForces[level].actions.size(); ++actionID) {
+	std::cout << GridLogMessage << "["<< LevelForces[level].actions.at(actionID)->action_name() << "] ID: " << actionID << std::endl;
+      }
+    }
     std::cout << GridLogMessage << ":::::::::::::::::::::::::::::::::::::::::"<< std::endl;
   }
 
   void reverse_momenta()
   {
-    P.Mom *= -1.0;
+    P *= -1.0;
-    P.AuxMom *= -1.0;
   }
 
   // to be used by the actionlevel class to iterate
@@ -531,14 +392,11 @@ public:
   // Initialization of momenta and actions
   void refresh(Field& U,  GridSerialRNG & sRNG, GridParallelRNG& pRNG) 
   {
-    assert(P.Mom.Grid() == U.Grid());
+    assert(P.Grid() == U.Grid());
     std::cout << GridLogIntegrator << "Integrator refresh" << std::endl;
 
     std::cout << GridLogIntegrator << "Generating momentum" << std::endl;
-//    FieldImplementation::generate_momenta(P.Mom, sRNG, pRNG);
+    FieldImplementation::generate_momenta(P, sRNG, pRNG);
-    P.M.ImportGauge(U);
-    P.MomentaDistribution(sRNG,pRNG);
-
 
     // Update the smeared fields, can be implemented as observer
     // necessary to keep the fields updated even after a reject
@@ -591,24 +449,12 @@ public:
   RealD S(Field& U) 
   {  // here also U not used
 
+    assert(as.size()==LevelForces.size());
     std::cout << GridLogIntegrator << "Integrator action\n";
 
-//    RealD H = - FieldImplementation::FieldSquareNorm(P.Mom)/HMC_MOMENTUM_DENOMINATOR; // - trace (P*P)/denom
+    RealD H = - FieldImplementation::FieldSquareNorm(P)/HMC_MOMENTUM_DENOMINATOR; // - trace (P*P)/denom
-//    RealD Hterm;
-
-//    static RealD Saux=0.,Smom=0.,Sg=0.;
-
-    RealD H = - FieldImplementation::FieldSquareNorm(P.Mom)/HMC_MOMENTUM_DENOMINATOR; // - trace (P*P)/denom
-    std::cout << GridLogMessage << "S:FieldSquareNorm H_p = " << H << "\n";
-    std::cout << GridLogMessage << "S:dSField = " << H-Smom << "\n";
-    Smom=H;
-    P.M.ImportGauge(U);
-    RealD Hterm = - P.MomentaAction();
-    std::cout << GridLogMessage << "S:Momentum action H_p = " << Hterm << "\n";
-    std::cout << GridLogMessage << "S:dSMom = " << Hterm-Saux << "\n";
-    Saux=Hterm;
-    H = Hterm;
 
+    RealD Hterm;
 
     // Actions
     for (int level = 0; level < as.size(); ++level) {
@@ -650,18 +496,9 @@ public:
 
     std::cout << GridLogIntegrator << "Integrator initial action\n";
 
-//    RealD H = - FieldImplementation::FieldSquareNorm(P.Mom)/HMC_MOMENTUM_DENOMINATOR; // - trace (P*P)/denom
+    RealD H = - FieldImplementation::FieldSquareNorm(P)/HMC_MOMENTUM_DENOMINATOR; // - trace (P*P)/denom
-//    RealD Hterm;
+
-    RealD H = - FieldImplementation::FieldSquareNorm(P.Mom)/HMC_MOMENTUM_DENOMINATOR; // - trace (P*P)/denom
+    RealD Hterm;
-    std::cout << GridLogMessage << "S:FieldSquareNorm H_p = " << H << "\n";
-    std::cout << GridLogMessage << "S:dSField = " << H-Smom << "\n";
-    Smom=H;
-    P.M.ImportGauge(U);
-    RealD Hterm = - P.MomentaAction();
-    std::cout << GridLogMessage << "S:Momentum action H_p = " << Hterm << "\n";
-    std::cout << GridLogMessage << "S:dSMom = " << Hterm-Saux << "\n";
-    Saux=Hterm;
-    H = Hterm;
 
     // Actions
     for (int level = 0; level < as.size(); ++level) {
@@ -684,7 +521,7 @@ public:
   }
 
   
-  void integrate(Field& U, int traj=-1 ) 
+  void integrate(Field& U) 
   {
     // reset the clocks
     t_U = 0;
@@ -696,12 +533,6 @@ public:
       int first_step = (stp == 0);
       int last_step = (stp == Params.MDsteps - 1);
       this->step(U, 0, first_step, last_step);
-      if (traj>=0){
-        std::string file("./config."+std::to_string(traj)+"_"+std::to_string(stp+1) );
-        int precision32 = 0;
-        int tworow      = 0;
-        NerscIO::writeConfiguration(U,file,tworow,precision32);
-      }
     }
 
     // Check the clocks all match on all levels
@@ -711,6 +542,7 @@ public:
     }
 
     FieldImplementation::Project(U);
+
     // and that we indeed got to the end of the trajectory
     assert(fabs(t_U - Params.trajL) < 1.0e-6);
 

Grid/qcd/hmc/integrators/Integrator_algorithm.h

@@ -102,8 +102,8 @@ public:
 
   std::string integrator_name(){return "LeapFrog";}
 
-  LeapFrog(GridBase* grid, IntegratorParameters Par, ActionSet<Field, RepresentationPolicy>& Aset, SmearingPolicy& Sm, Metric<Field>& M)
+  LeapFrog(GridBase* grid, IntegratorParameters Par, ActionSet<Field, RepresentationPolicy>& Aset, SmearingPolicy& Sm)
-    : Integrator<FieldImplementation, SmearingPolicy, RepresentationPolicy>(grid, Par, Aset, Sm,M){};
+    : Integrator<FieldImplementation, SmearingPolicy, RepresentationPolicy>(grid, Par, Aset, Sm){};
 
   void step(Field& U, int level, int _first, int _last) {
     int fl = this->as.size() - 1;
@@ -140,14 +140,14 @@ template <class FieldImplementation_, class SmearingPolicy, class Representation
 class MinimumNorm2 : public Integrator<FieldImplementation_, SmearingPolicy, RepresentationPolicy> 
 {
 private:
-//  const RealD lambda = 0.1931833275037836;
+  const RealD lambda = 0.1931833275037836;
 
 public:
   typedef FieldImplementation_ FieldImplementation;
   INHERIT_FIELD_TYPES(FieldImplementation);
 
-  MinimumNorm2(GridBase* grid, IntegratorParameters Par, ActionSet<Field, RepresentationPolicy>& Aset, SmearingPolicy& Sm, Metric<Field>& M)
+  MinimumNorm2(GridBase* grid, IntegratorParameters Par, ActionSet<Field, RepresentationPolicy>& Aset, SmearingPolicy& Sm)
-    : Integrator<FieldImplementation, SmearingPolicy, RepresentationPolicy>(grid, Par, Aset, Sm,M){};
+    : Integrator<FieldImplementation, SmearingPolicy, RepresentationPolicy>(grid, Par, Aset, Sm){};
 
   std::string integrator_name(){return "MininumNorm2";}
 
@@ -155,11 +155,6 @@ public:
     // level  : current level
     // fl     : final level
     // eps    : current step size
-    assert(level<3);
-    RealD lambda= this->Params.lambda0;
-    if (level>0) lambda= this->Params.lambda1;
-    if (level>1) lambda= this->Params.lambda2;
-    std::cout << GridLogMessage << "level: "<<level<< "lambda: "<<lambda<<std::endl;
 
     int fl = this->as.size() - 1;
 
@@ -215,9 +210,9 @@ public:
   // Looks like dH scales as dt^4. tested wilson/wilson 2 level.
   ForceGradient(GridBase* grid, IntegratorParameters Par,
                 ActionSet<Field, RepresentationPolicy>& Aset,
-                SmearingPolicy& Sm, Metric<Field>& M)
+                SmearingPolicy& Sm)
     : Integrator<FieldImplementation, SmearingPolicy, RepresentationPolicy>(
-									    grid, Par, Aset, Sm,M){};
+									    grid, Par, Aset, Sm){};
 
   std::string integrator_name(){return "ForceGradient";}
   
@@ -280,255 +275,6 @@ public:
   }
 };
 
-////////////////////////////////
-// Riemannian Manifold HMC
-// Girolami et al
-////////////////////////////////
-
-
-
-// correct
-template <class FieldImplementation, class SmearingPolicy,
-          class RepresentationPolicy =
-              Representations<FundamentalRepresentation> >
-class ImplicitLeapFrog : public Integrator<FieldImplementation, SmearingPolicy,
-                                           RepresentationPolicy> {
- public:
-  typedef ImplicitLeapFrog<FieldImplementation, SmearingPolicy, RepresentationPolicy>
-      Algorithm;
-  INHERIT_FIELD_TYPES(FieldImplementation);
-
-  // Riemannian manifold metric operator
-  // Hermitian operator Fisher
-
-  std::string integrator_name(){return "ImplicitLeapFrog";}
-
-  ImplicitLeapFrog(GridBase* grid, IntegratorParameters Par,
-           ActionSet<Field, RepresentationPolicy>& Aset, SmearingPolicy& Sm, Metric<Field>& M)
-      : Integrator<FieldImplementation, SmearingPolicy, RepresentationPolicy>(
-            grid, Par, Aset, Sm, M){};
-
-  void step(Field& U, int level, int _first, int _last) {
-    int fl = this->as.size() - 1;
-    // level  : current level
-    // fl     : final level
-    // eps    : current step size
-
-    // Get current level step size
-    RealD eps = this->Params.trajL/this->Params.MDsteps;
-    for (int l = 0; l <= level; ++l) eps /= this->as[l].multiplier;
-
-    int multiplier = this->as[level].multiplier;
-    for (int e = 0; e < multiplier; ++e) {
-      int first_step = _first && (e == 0);
-      int last_step = _last && (e == multiplier - 1);
-
-      if (first_step) {  // initial half step
-       this->implicit_update_P(U, level, eps / 2.0);
-      }
-
-      if (level == fl) {  // lowest level
-        this->implicit_update_U(U, eps,eps/2.);
-      } else {  // recursive function call
-        this->step(U, level + 1, first_step, last_step);
-      }
-
-      //int mm = last_step ? 1 : 2;
-      if (last_step){
-        this->update_P2(U, level, eps / 2.0);
-      } else {
-      this->implicit_update_P(U, level, eps, true);// works intermediate step
-      }
-    }
-  }
-};
-
-
-template <class FieldImplementation, class SmearingPolicy,
-          class RepresentationPolicy =
-              Representations<FundamentalRepresentation> >
-class ImplicitMinimumNorm2 : public Integrator<FieldImplementation, SmearingPolicy,
-                                       RepresentationPolicy> {
- private:
-//  const RealD lambda = 0.1931833275037836;
-
- public:
-  INHERIT_FIELD_TYPES(FieldImplementation);
-
-  ImplicitMinimumNorm2(GridBase* grid, IntegratorParameters Par,
-               ActionSet<Field, RepresentationPolicy>& Aset, SmearingPolicy& Sm, Metric<Field>& M)
-      : Integrator<FieldImplementation, SmearingPolicy, RepresentationPolicy>(
-            grid, Par, Aset, Sm, M){};
-
-  std::string integrator_name(){return "ImplicitMininumNorm2";}
-
-  void step(Field& U, int level, int _first, int _last) {
-    // level  : current level
-    // fl     : final level
-    // eps    : current step size
-
-    int fl = this->as.size() - 1;
-//    assert(Params.lambda.size()>level);
-//    RealD lambda= Params.lambda[level];
-    assert(level<3);
-    RealD lambda= this->Params.lambda0;
-    if (level>0) lambda= this->Params.lambda1;
-    if (level>1) lambda= this->Params.lambda2;
-    std::cout << GridLogMessage << "level: "<<level<< "lambda: "<<lambda<<std::endl;
-
-  if(level<fl){
-
-    RealD eps = this->Params.trajL/this->Params.MDsteps * 2.0;
-    for (int l = 0; l <= level; ++l) eps /= 2.0 * this->as[l].multiplier;
-
-    // Nesting:  2xupdate_U of size eps/2
-    // Next level is eps/2/multiplier
-
-    int multiplier = this->as[level].multiplier;
-    for (int e = 0; e < multiplier; ++e) {  // steps per step
-
-      int first_step = _first && (e == 0);
-      int last_step = _last && (e == multiplier - 1);
-
-      if (first_step) {  // initial half step
-        this->update_P(U, level, lambda * eps);
-      }
-
-        this->step(U, level + 1, first_step, 0);
-
-      this->update_P(U, level, (1.0 - 2.0 * lambda) * eps);
-
-        this->step(U, level + 1, 0, last_step);
-
-      int mm = (last_step) ? 1 : 2;
-      this->update_P(U, level, lambda * eps * mm);
-    }
-  } 
-  else 
-  { // last level
-    RealD eps = this->Params.trajL/this->Params.MDsteps * 2.0;
-    for (int l = 0; l <= level; ++l) eps /= 2.0 * this->as[l].multiplier;
-
-    // Nesting:  2xupdate_U of size eps/2
-    // Next level is eps/2/multiplier
-
-    int multiplier = this->as[level].multiplier;
-    for (int e = 0; e < multiplier; ++e) {  // steps per step
-
-      int first_step = _first && (e == 0);
-      int last_step = _last && (e == multiplier - 1);
-
-      if (first_step) {  // initial half step
-        this->implicit_update_P(U, level, lambda * eps);
-      }
-
-      this->implicit_update_U(U, 0.5 * eps,lambda*eps);
-
-      this->implicit_update_P(U, level, (1.0 - 2.0 * lambda) * eps, true);
-
-      this->implicit_update_U(U, 0.5 * eps, (0.5-lambda)*eps);
-
-      if (last_step) {
-        this->update_P2(U, level, eps * lambda);
-      } else {
-        this->implicit_update_P(U, level, lambda * eps*2.0, true);
-      }
-    }
-  }
-
-  }
-};
-
-template <class FieldImplementation, class SmearingPolicy,
-          class RepresentationPolicy =
-              Representations<FundamentalRepresentation> >
-class ImplicitCampostrini : public Integrator<FieldImplementation, SmearingPolicy,
-                                       RepresentationPolicy> {
- private:
-//  const RealD lambda = 0.1931833275037836;
-
- public:
-  INHERIT_FIELD_TYPES(FieldImplementation);
-
-  ImplicitCampostrini(GridBase* grid, IntegratorParameters Par,
-               ActionSet<Field, RepresentationPolicy>& Aset, SmearingPolicy& Sm, Metric<Field>& M)
-      : Integrator<FieldImplementation, SmearingPolicy, RepresentationPolicy>(
-            grid, Par, Aset, Sm, M){};
-
-  std::string integrator_name(){return "ImplicitCampostrini";}
-
-  void step(Field& U, int level, int _first, int _last) {
-    // level  : current level
-    // fl     : final level
-    // eps    : current step size
-
-    int fl = this->as.size() - 1;
-//    assert(Params.lambda.size()>level);
-//    RealD lambda= Params.lambda[level];
-    assert(level<3);
-    RealD lambda= this->Params.lambda0;
-    if (level>0) lambda= this->Params.lambda1;
-    if (level>1) lambda= this->Params.lambda2;
-    std::cout << GridLogMessage << "level: "<<level<< "lambda: "<<lambda<<std::endl;
-    
-    RealD sigma=pow(2.0,1./3.);
-
-  if(level<fl){
-//Still Omelyan. Needs to change step() to accept variable stepsize
-    RealD eps = this->Params.trajL/this->Params.MDsteps * 2.0;
-    for (int l = 0; l <= level; ++l) eps /= 2.0 * this->as[l].multiplier;
-
-    // Nesting:  2xupdate_U of size eps/2
-    // Next level is eps/2/multiplier
-
-    int multiplier = this->as[level].multiplier;
-    for (int e = 0; e < multiplier; ++e) {  // steps per step
-
-      int first_step = _first && (e == 0);
-      int last_step = _last && (e == multiplier - 1);
-
-      if (first_step) {  // initial half step
-        this->update_P(U, level, lambda * eps);
-      }
-
-        this->step(U, level + 1, first_step, 0);
-
-      this->update_P(U, level, (1.0 - 2.0 * lambda) * eps);
-
-        this->step(U, level + 1, 0, last_step);
-
-      int mm = (last_step) ? 1 : 2;
-      this->update_P(U, level, lambda * eps * mm);
-    }
-  } 
-  else 
-  { // last level
-    RealD dt = this->Params.trajL/this->Params.MDsteps * 2.0;
-    for (int l = 0; l <= level; ++l) dt /= 2.0 * this->as[l].multiplier;
-
-    RealD epsilon = dt/(2.0 - sigma);
-
-    int multiplier = this->as[level].multiplier;
-    for (int e = 0; e < multiplier; ++e) {  // steps per step
-
-      int first_step = _first && (e == 0);
-      int last_step = _last && (e == multiplier - 1);
-      // initial half step
-      if (first_step) {  this->implicit_update_P(U, level, epsilon*0.5); }
-      this->implicit_update_U(U, epsilon,epsilon*0.5);
-      this->implicit_update_P(U, level, (1.0 - sigma) * epsilon *0.5, epsilon*0.5, true);
-      this->implicit_update_U(U, -epsilon*sigma, -epsilon*sigma*0.5);
-      this->implicit_update_P(U, level, (1.0 - sigma) * epsilon *0.5, -epsilon*sigma*0.5, true);
-      this->implicit_update_U(U, epsilon,epsilon*0.5);
-      if (last_step) { this->update_P2(U, level, epsilon*0.5 ); } 
-      else
-      this->implicit_update_P(U, level, epsilon,epsilon*0.5);
-    }
-  }
-
-  }
-};
-
 NAMESPACE_END(Grid);
 
 #endif  // INTEGRATOR_INCLUDED

Grid/qcd/smearing/GaugeConfigurationMasked.h

@@ -1,3 +1,4 @@
+
 /*!
   @file GaugeConfiguration.h
   @brief Declares the GaugeConfiguration class
@@ -6,6 +7,15 @@
 
 NAMESPACE_BEGIN(Grid);
 
+
+template<class T> void Dump(const Lattice<T> & lat,
+			    std::string s,
+			    Coordinate site = Coordinate({0,0,0,0}))
+{
+  typename T::scalar_object tmp;
+  peekSite(tmp,lat,site);
+  std::cout << " Dump "<<s<<" "<<tmp<<std::endl;
+}
 /*!
   @brief Smeared configuration masked container
   Modified for a multi-subset smearing (aka Luscher Flowed HMC)
@@ -28,6 +38,101 @@ private:
   typedef typename SU3Adjoint::LatticeAdjMatrix  AdjMatrixField;
   typedef typename SU3Adjoint::LatticeAdjVector  AdjVectorField;
 
+  void BaseSmearDerivative(GaugeField& SigmaTerm,
+			   const GaugeField& iLambda,
+			   const GaugeField& U,
+			   int mmu, RealD rho)
+  {
+    // Reference
+    // Morningstar, Peardon, Phys.Rev.D69,054501(2004)
+    // Equation 75
+    // Computing Sigma_mu, derivative of S[fat links] with respect to the thin links
+    // Output SigmaTerm
+
+    GridBase *grid = U.Grid();
+
+    WilsonLoops<Gimpl> WL;
+    GaugeLinkField staple(grid), u_tmp(grid);
+    GaugeLinkField iLambda_mu(grid), iLambda_nu(grid);
+    GaugeLinkField U_mu(grid), U_nu(grid);
+    GaugeLinkField sh_field(grid), temp_Sigma(grid);
+    Real rho_munu, rho_numu;
+
+    rho_munu = rho;
+    rho_numu = rho;
+    for(int mu = 0; mu < Nd; ++mu){
+      U_mu       = peekLorentz(      U, mu);
+      iLambda_mu = peekLorentz(iLambda, mu);
+
+      for(int nu = 0; nu < Nd; ++nu){
+	if(nu==mu) continue;
+
+	U_nu       = peekLorentz(      U, nu);
+
+	// Nd(nd-1) = 12 staples normally.
+	// We must compute 6 of these
+	// in FTHMC case
+	if ( (mu==mmu)||(nu==mmu) )
+	  WL.StapleUpper(staple, U, mu, nu);
+	
+	if(nu==mmu) {
+	  iLambda_nu = peekLorentz(iLambda, nu);
+
+	  temp_Sigma = -rho_numu*staple*iLambda_nu;  //ok
+	  //-r_numu*U_nu(x+mu)*Udag_mu(x+nu)*Udag_nu(x)*Lambda_nu(x)
+	  Gimpl::AddLink(SigmaTerm, temp_Sigma, mu);
+
+	  sh_field = Cshift(iLambda_nu, mu, 1);// general also for Gparity?
+
+	  temp_Sigma = rho_numu*sh_field*staple; //ok
+	  //r_numu*Lambda_nu(mu)*U_nu(x+mu)*Udag_mu(x+nu)*Udag_nu(x)
+	  Gimpl::AddLink(SigmaTerm, temp_Sigma, mu);
+	}
+
+	if ( mu == mmu ) { 
+	  sh_field = Cshift(iLambda_mu, nu, 1);
+
+	  temp_Sigma = -rho_munu*staple*U_nu*sh_field*adj(U_nu); //ok
+	  //-r_munu*U_nu(x+mu)*Udag_mu(x+nu)*Lambda_mu(x+nu)*Udag_nu(x)
+	  Gimpl::AddLink(SigmaTerm, temp_Sigma, mu);
+	}
+
+	//	staple = Zero();
+	sh_field = Cshift(U_nu, mu, 1);
+
+	temp_Sigma = Zero();
+
+	if ( mu == mmu )
+	  temp_Sigma = -rho_munu*adj(sh_field)*adj(U_mu)*iLambda_mu*U_nu;
+
+	if ( nu == mmu ) {
+	  temp_Sigma += rho_numu*adj(sh_field)*adj(U_mu)*iLambda_nu*U_nu;
+
+	  u_tmp = adj(U_nu)*iLambda_nu;
+	  sh_field = Cshift(u_tmp, mu, 1);
+	  temp_Sigma += -rho_numu*sh_field*adj(U_mu)*U_nu;
+	}
+	
+	sh_field = Cshift(temp_Sigma, nu, -1);
+	Gimpl::AddLink(SigmaTerm, sh_field, mu);
+
+      }
+    }
+  }
+  
+  void BaseSmear(GaugeLinkField& Cup, const GaugeField& U,int mu,RealD rho) {
+    GridBase *grid = U.Grid();
+    GaugeLinkField tmp_stpl(grid);
+    WilsonLoops<Gimpl> WL;
+    Cup = Zero();
+    for(int nu=0; nu<Nd; ++nu){
+      if (nu != mu) {
+	// get the staple in direction mu, nu
+	WL.Staple(tmp_stpl, U, mu, nu);  //nb staple conventions of IroIro and Grid differ by a dagger
+	Cup += adj(tmp_stpl*rho);
+      }
+    }
+  }
   // Adjoint vector to GaugeField force
   void InsertForce(GaugeField &Fdet,AdjVectorField &Fdet_nu,int nu)
   {
@@ -47,27 +152,54 @@ private:
     GaugeLinkField UtaU(PlaqL.Grid());
     GaugeLinkField D(PlaqL.Grid());
     AdjMatrixField Dbc(PlaqL.Grid());
+    AdjMatrixField Dbc_opt(PlaqL.Grid());
     LatticeComplex tmp(PlaqL.Grid());
     const int Ngen = SU3Adjoint::Dimension;
     Complex ci(0,1);
     ColourMatrix   ta,tb,tc;
-    
+    RealD t=0;
+    RealD tp=0;
+    RealD tta=0;
+    RealD tpk=0;
+    t-=usecond();
     for(int a=0;a<Ngen;a++) {
+      tta-=usecond();
       SU3::generator(a, ta);
+      ta = 2.0 * ci * ta;
       // Qlat Tb = 2i Tb^Grid
-      UtaU= 2.0*ci*adj(PlaqL)*ta*PlaqR;
+      UtaU= adj(PlaqL)*ta*PlaqR; // 6ms
+      tta+=usecond();
+      ////////////////////////////////////////////
+      // Could add this entire C-loop to a projection routine
+      // for performance. Could also pick checkerboard on UtaU
+      // and set checkerboard on result for 2x perf
+      ////////////////////////////////////////////
       for(int c=0;c<Ngen;c++) {
 	SU3::generator(c, tc);
-	D = Ta( (2.0)*ci*tc *UtaU);
+	tc = 2.0*ci*tc;
+	tp-=usecond(); 
+	D = Ta( tc *UtaU); // 2ms
+#if 1
+	SU3::LieAlgebraProject(Dbc_opt,D,c); // 5.5ms
+#else
 	for(int b=0;b<Ngen;b++){
 	  SU3::generator(b, tb);
 	  tmp =-trace(ci*tb*D); 
 	  PokeIndex<ColourIndex>(Dbc,tmp,b,c);  // Adjoint rep
 	}
+#endif
+	tp+=usecond();
       }
-      tmp = trace(MpInvJx * Dbc);
+      //      Dump(Dbc_opt,"Dbc_opt");
+      //      Dump(Dbc,"Dbc");
+      tpk-=usecond();
+      tmp = trace(MpInvJx * Dbc_opt);
       PokeIndex<ColourIndex>(Fdet2,tmp,a);
+      tpk+=usecond();
     }
+    t+=usecond();
+    std::cout << GridLogPerformance << " Compute_MpInvJx_dNxxdSy " << t/1e3 << " ms  proj "<<tp/1e3<< " ms"
+	      << " ta "<<tta/1e3<<" ms" << " poke "<<tpk/1e3<< " ms"<<std::endl;
   }
   
   void ComputeNxy(const GaugeLinkField &PlaqL,const GaugeLinkField &PlaqR,AdjMatrixField &NxAd)
@@ -79,12 +211,17 @@ private:
     ColourMatrix   tc;
     for(int b=0;b<Ngen;b++) {
       SU3::generator(b, tb);
-      Nx = (2.0)*Ta( adj(PlaqL)*ci*tb * PlaqR );
+      tb = 2.0 * ci * tb;
+      Nx = Ta( adj(PlaqL)*tb * PlaqR );
+#if 1
+      SU3::LieAlgebraProject(NxAd,Nx,b);
+#else
       for(int c=0;c<Ngen;c++) {
 	SU3::generator(c, tc);
 	auto tmp =closure( -trace(ci*tc*Nx)); 
 	PokeIndex<ColourIndex>(NxAd,tmp,c,b); 
       }
+#endif
     }
   }
   void ApplyMask(GaugeField &U,int smr)
@@ -164,8 +301,7 @@ public:
     // Computes ALL the staples -- could compute one only and do it here
     RealD time;
     time=-usecond();
-    this->StoutSmearing->BaseSmear(C, U);
+    BaseSmear(Cmu, U,mu,rho);
-    Cmu = peekLorentz(C, mu);
 
     //////////////////////////////////////////////////////////////////
     // Assemble Luscher exp diff map J matrix 
@@ -209,6 +345,36 @@ public:
     // dJ(x)/dxe
     //////////////////////////////////////
     time=-usecond();
+#if 1
+    std::vector<AdjMatrixField>  dJdX;    dJdX.resize(8,grid);
+    std::vector<AdjMatrix> TRb_s; TRb_s.resize(8);
+    AdjMatrixField tbXn(grid);
+    AdjMatrixField sumXtbX(grid);
+    AdjMatrixField t2(grid);
+    AdjMatrixField dt2(grid);
+    AdjMatrixField t3(grid);
+    AdjMatrixField dt3(grid);
+    AdjMatrixField aunit(grid);
+
+    for(int b=0;b<8;b++){
+      SU3Adjoint::generator(b, TRb_s[b]);
+      dJdX[b] = TRb_s[b];
+    }
+    aunit = ComplexD(1.0);
+    // Could put into an accelerator_for
+    X  = (-1.0)*ZxAd; 
+    t2 = X;
+    for (int j = 12; j > 1; --j) {
+      t3  = t2*(1.0 / (j + 1))  + aunit;
+      t2  = X * t3;
+      for(int b=0;b<8;b++){
+	dJdX[b]= TRb_s[b] * t3 + X * dJdX[b]*(1.0 / (j + 1));
+      }
+    }
+    for(int b=0;b<8;b++){
+      dJdX[b] = -dJdX[b];
+    }
+#else
     std::vector<AdjMatrixField>  dJdX;    dJdX.resize(8,grid);
     AdjMatrixField tbXn(grid);
     AdjMatrixField sumXtbX(grid);
@@ -224,7 +390,7 @@ public:
       X  = (-1.0)*ZxAd; 
       t2 = X;
       dt2 = TRb;
-      for (int j = 20; j > 1; --j) {
+      for (int j = 12; j > 1; --j) {
 	t3  = t2*(1.0 / (j + 1))  + aunit;
 	dt3 = dt2*(1.0 / (j + 1));
 	t2 = X * t3;
@@ -232,6 +398,7 @@ public:
       }
       dJdX[b] = -dt2; 
     }
+#endif  
     time+=usecond();
     std::cout << GridLogMessage << "dJx took "<<time<< " us"<<std::endl;
     /////////////////////////////////////////////////////////////////
@@ -281,8 +448,8 @@ public:
     
     for(int e =0 ; e<8 ; e++){
       LatticeComplexD tr(grid);
-      ColourMatrix te;
+      //      ColourMatrix te;
-      SU3::generator(e, te);
+      //      SU3::generator(e, te);
       tr = trace(dJdX[e] * nMpInv);
       pokeColour(dJdXe_nMpInv,tr,e);
     }
@@ -493,20 +660,25 @@ public:
     //////////////////////////////////////////////////////////////////
     // Assemble the N matrix
     //////////////////////////////////////////////////////////////////
-    // Computes ALL the staples -- could compute one only here
+    double rho=this->StoutSmearing->SmearRho[1];
-    this->StoutSmearing->BaseSmear(C, U);
+    BaseSmear(Cmu, U,mu,rho);
-    Cmu = peekLorentz(C, mu);
+
     Umu = peekLorentz(U, mu);
     Complex ci(0,1);
     for(int b=0;b<Ngen;b++) {
       SU3::generator(b, Tb);
       // Qlat Tb = 2i Tb^Grid
       Nb = (2.0)*Ta( ci*Tb * Umu * adj(Cmu));
+      // FIXME -- replace this with LieAlgebraProject
+#if 0
+      SU3::LieAlgebraProject(Ncb,tmp,b);
+#else
       for(int c=0;c<Ngen;c++) {
 	SU3::generator(c, Tc);
 	auto tmp = -trace(ci*Tc*Nb); // Luchang's norm: (2Tc) (2Td) N^db = -2 delta cd N^db // - was important
 	PokeIndex<ColourIndex>(Ncb,tmp,c,b); 
       }
+#endif
     }      
 
     //////////////////////////////////////////////////////////////////
@@ -693,7 +865,7 @@ private:
 					  const GaugeField& GaugeK,int level) 
   {
     GridBase* grid = GaugeK.Grid();
-    GaugeField C(grid), SigmaK(grid), iLambda(grid);
+    GaugeField SigmaK(grid), iLambda(grid);
     GaugeField SigmaKPrimeA(grid);
     GaugeField SigmaKPrimeB(grid);
     GaugeLinkField iLambda_mu(grid);
@@ -701,7 +873,11 @@ private:
     GaugeLinkField SigmaKPrime_mu(grid);
     GaugeLinkField GaugeKmu(grid), Cmu(grid);
 
-    this->StoutSmearing->BaseSmear(C, GaugeK);
+    int mmu= (level/2) %Nd;
+    int cb= (level%2);
+    double rho=this->StoutSmearing->SmearRho[1];
+
+    // Can override this to do one direction only.
     SigmaK = Zero();
     iLambda = Zero();
 
@@ -712,18 +888,38 @@ private:
     // Could get away with computing only one polarisation here
     // int mu= (smr/2) %Nd;
     // SigmaKprime_A has only one component
-    for (int mu = 0; mu < Nd; mu++)
+#if 0
-    {
+    BaseSmear(Cmu, GaugeK,mu,rho);
-      Cmu = peekLorentz(C, mu);
     GaugeKmu = peekLorentz(GaugeK, mu);
     SigmaKPrime_mu = peekLorentz(SigmaKPrimeA, mu);
     iQ = Ta(Cmu * adj(GaugeKmu));
     this->set_iLambda(iLambda_mu, e_iQ, iQ, SigmaKPrime_mu, GaugeKmu);
     pokeLorentz(SigmaK, SigmaKPrime_mu * e_iQ + adj(Cmu) * iLambda_mu, mu);
     pokeLorentz(iLambda, iLambda_mu, mu);
+    BaseSmearDerivative(SigmaK, iLambda,GaugeK,mu,rho);  // derivative of SmearBase
+#else
+    //    GaugeField C(grid);
+    //    this->StoutSmearing->BaseSmear(C, GaugeK);
+    //    for (int mu = 0; mu < Nd; mu++)
+    int mu =mmu;
+    BaseSmear(Cmu, GaugeK,mu,rho);
+    {
+      // Cmu = peekLorentz(C, mu);
+      GaugeKmu = peekLorentz(GaugeK, mu);
+      SigmaKPrime_mu = peekLorentz(SigmaKPrimeA, mu);
+      iQ = Ta(Cmu * adj(GaugeKmu));
+      this->set_iLambda(iLambda_mu, e_iQ, iQ, SigmaKPrime_mu, GaugeKmu);
+      pokeLorentz(SigmaK, SigmaKPrime_mu * e_iQ + adj(Cmu) * iLambda_mu, mu);
+      pokeLorentz(iLambda, iLambda_mu, mu);
+      std::cout << " mu "<<mu<<" SigmaKPrime_mu"<<norm2(SigmaKPrime_mu)<< " iLambda_mu " <<norm2(iLambda_mu)<<std::endl;
     }
-    this->StoutSmearing->derivative(SigmaK, iLambda,GaugeK);  // derivative of SmearBase
+    //    GaugeField SigmaKcopy(grid);
-
+    //    SigmaKcopy = SigmaK;
+    BaseSmearDerivative(SigmaK, iLambda,GaugeK,mu,rho);  // derivative of SmearBase
+    //    this->StoutSmearing->derivative(SigmaK, iLambda,GaugeK);  // derivative of SmearBase
+    //    SigmaKcopy = SigmaKcopy - SigmaK;
+    //    std::cout << " BaseSmearDerivative fast path error" <<norm2(SigmaKcopy)<<std::endl;
+#endif
     ////////////////////////////////////////////////////////////////////////////////////
     // propagate the rest of the force as identity map, just add back
     ////////////////////////////////////////////////////////////////////////////////////

Grid/qcd/smearing/HISQSmearing.h

@@ -0,0 +1,389 @@
+/*************************************************************************************
+
+Grid physics library, www.github.com/paboyle/Grid
+
+Source file: ./lib/qcd/smearing/HISQSmearing.h
+
+Copyright (C) 2023
+
+Author: D. A. Clarke <clarke.davida@gmail.com> 
+
+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
+*************************************************************************************/
+/*
+    @file HISQSmearing.h
+    @brief Declares classes related to HISQ smearing 
+*/
+
+
+#pragma once
+#include <Grid/Grid.h>
+#include <Grid/lattice/PaddedCell.h>
+#include <Grid/stencil/GeneralLocalStencil.h>
+
+
+NAMESPACE_BEGIN(Grid);
+
+
+// TODO: find a way to fold this into the stencil header. need to access grid to get
+// Nd, since you don't want to inherit from QCD.h
+/*!  @brief append arbitrary shift path to shifts */
+template<typename... Args>
+void appendShift(std::vector<Coordinate>& shifts, int dir, Args... args) {
+    Coordinate shift(Nd,0);
+    generalShift(shift, dir, args...); 
+    // push_back creates an element at the end of shifts and
+    // assigns the data in the argument to it.
+    shifts.push_back(shift);
+}
+
+
+/*!  @brief figure out the stencil index from mu and nu */
+accelerator_inline int stencilIndex(int mu, int nu) {
+    // Nshifts depends on how you built the stencil
+    int Nshifts = 6;
+    return Nshifts*nu + Nd*Nshifts*mu;
+}
+
+
+/*!  @brief structure holding the link treatment */
+struct SmearingParameters{
+    SmearingParameters(){}
+    Real c_1;               // 1 link
+    Real c_naik;            // Naik term
+    Real c_3;               // 3 link
+    Real c_5;               // 5 link
+    Real c_7;               // 7 link
+    Real c_lp;              // 5 link Lepage
+    SmearingParameters(Real c1, Real cnaik, Real c3, Real c5, Real c7, Real clp) 
+        : c_1(c1),
+          c_naik(cnaik),
+          c_3(c3),
+          c_5(c5),
+          c_7(c7),
+          c_lp(clp){}
+};
+
+
+/*!  @brief create fat links from link variables */
+template<class Gimpl> 
+class Smear_HISQ : public Gimpl {
+
+private:
+    GridCartesian* const _grid;
+    SmearingParameters _linkTreatment;
+
+public:
+
+    INHERIT_GIMPL_TYPES(Gimpl);
+    typedef typename Gimpl::GaugeField     GF;
+    typedef typename Gimpl::GaugeLinkField LF;
+    typedef typename Gimpl::ComplexField   CF;
+
+    // Don't allow default values here.
+    Smear_HISQ(GridCartesian* grid, Real c1, Real cnaik, Real c3, Real c5, Real c7, Real clp) 
+        : _grid(grid), 
+          _linkTreatment(c1,cnaik,c3,c5,c7,clp) {
+        assert(Nc == 3 && "HISQ smearing currently implemented only for Nc==3");
+        assert(Nd == 4 && "HISQ smearing only defined for Nd==4");
+    }
+
+    // Allow to pass a pointer to a C-style, double array for MILC convenience
+    Smear_HISQ(GridCartesian* grid, double* coeff) 
+        : _grid(grid), 
+          _linkTreatment(coeff[0],coeff[1],coeff[2],coeff[3],coeff[4],coeff[5]) {
+        assert(Nc == 3 && "HISQ smearing currently implemented only for Nc==3");
+        assert(Nd == 4 && "HISQ smearing only defined for Nd==4");
+    }
+
+    ~Smear_HISQ() {}
+
+    // Intent: OUT--u_smr, u_naik
+    //          IN--u_thin
+    void smear(GF& u_smr, GF& u_naik, GF& u_thin) const {
+
+        SmearingParameters lt = this->_linkTreatment;
+        auto grid = this->_grid;
+
+        // Create a padded cell of extra padding depth=1 and fill the padding.
+        int depth = 1;
+        PaddedCell Ghost(depth,grid);
+        GF Ughost = Ghost.Exchange(u_thin);
+
+        // This is where auxiliary N-link fields and the final smear will be stored. 
+        GF Ughost_fat(Ughost.Grid());
+        GF Ughost_3link(Ughost.Grid());
+        GF Ughost_5linkA(Ughost.Grid());
+        GF Ughost_5linkB(Ughost.Grid());
+
+        // mu-nu plane stencil. We allow mu==nu to make indexing the stencil easier,
+        // but these entries will not be used. 
+        std::vector<Coordinate> shifts;
+        for(int mu=0;mu<Nd;mu++)
+        for(int nu=0;nu<Nd;nu++) {
+            appendShift(shifts,mu);
+            appendShift(shifts,nu);
+            appendShift(shifts,shiftSignal::NO_SHIFT);
+            appendShift(shifts,mu,Back(nu));
+            appendShift(shifts,Back(nu));
+            appendShift(shifts,Back(mu));
+        }
+
+        // A GeneralLocalStencil has two indices: a site and stencil index 
+        GeneralLocalStencil gStencil(Ughost.Grid(),shifts);
+
+        // This is where contributions from the smearing get added together
+        Ughost_fat=Zero();
+
+        // This loop handles 3-, 5-, and 7-link constructs, minus Lepage and Naik.
+        for(int mu=0;mu<Nd;mu++) {
+
+            // TODO: This approach is slightly memory inefficient. It uses 25% extra memory 
+            Ughost_3link =Zero();
+            Ughost_5linkA=Zero();
+            Ughost_5linkB=Zero();
+
+            // Create the accessors
+            autoView(U_v       , Ughost       , AcceleratorRead);
+            autoView(U_fat_v   , Ughost_fat   , AcceleratorWrite);
+            autoView(U_3link_v , Ughost_3link , AcceleratorWrite);
+            autoView(U_5linkA_v, Ughost_5linkA, AcceleratorWrite);
+            autoView(U_5linkB_v, Ughost_5linkB, AcceleratorWrite);
+
+            // We infer some types that will be needed in the calculation.
+            typedef decltype(gStencil.GetEntry(0,0)) stencilElement;
+            typedef decltype(coalescedReadGeneralPermute(U_v[0](0),gStencil.GetEntry(0,0)->_permute,Nd)) U3matrix;
+
+            int Nsites = U_v.size();
+            auto gStencil_v = gStencil.View(); 
+
+            accelerator_for(site,Nsites,Simd::Nsimd(),{ // ----------- 3-link constructs
+                stencilElement SE0, SE1, SE2, SE3, SE4, SE5;
+                U3matrix U0, U1, U2, U3, U4, U5, W;
+                for(int nu=0;nu<Nd;nu++) {
+                    if(nu==mu) continue;
+                    int s = stencilIndex(mu,nu);
+
+                    // The stencil gives us support points in the mu-nu plane that we will use to
+                    // grab the links we need.
+                    SE0 = gStencil_v.GetEntry(s+0,site); int x_p_mu      = SE0->_offset;
+                    SE1 = gStencil_v.GetEntry(s+1,site); int x_p_nu      = SE1->_offset;
+                    SE2 = gStencil_v.GetEntry(s+2,site); int x           = SE2->_offset;
+                    SE3 = gStencil_v.GetEntry(s+3,site); int x_p_mu_m_nu = SE3->_offset;
+                    SE4 = gStencil_v.GetEntry(s+4,site); int x_m_nu      = SE4->_offset;
+                    SE5 = gStencil_v.GetEntry(s+5,site); int x_m_mu      = SE5->_offset;
+
+                    // When you're deciding whether to take an adjoint, the question is: how is the
+                    // stored link oriented compared to the one you want? If I imagine myself travelling
+                    // with the to-be-updated link, I have two possible, alternative 3-link paths I can
+                    // take, one starting by going to the left, the other starting by going to the right.
+                    U0 = coalescedReadGeneralPermute(U_v[x_p_mu     ](nu),SE0->_permute,Nd);
+                    U1 = coalescedReadGeneralPermute(U_v[x_p_nu     ](mu),SE1->_permute,Nd);
+                    U2 = coalescedReadGeneralPermute(U_v[x          ](nu),SE2->_permute,Nd);
+                    U3 = coalescedReadGeneralPermute(U_v[x_p_mu_m_nu](nu),SE3->_permute,Nd);
+                    U4 = coalescedReadGeneralPermute(U_v[x_m_nu     ](mu),SE4->_permute,Nd);
+                    U5 = coalescedReadGeneralPermute(U_v[x_m_nu     ](nu),SE4->_permute,Nd);
+
+                    //  "left"          "right"
+                    W = U2*U1*adj(U0) + adj(U5)*U4*U3;
+
+                    // Save 3-link construct for later and add to smeared field.
+                    coalescedWrite(U_3link_v[x](nu), W);
+
+                    // The index operator (x) returns the coalesced read on GPU. The view [] index returns 
+                    // a reference to the vector object. The [x](mu) returns a reference to the densely 
+                    // packed (contiguous in memory) mu-th element of the vector object. On CPU, 
+                    // coalescedRead/Write is the identity mapping assigning vector object to vector object.
+                    // But on GPU it's non-trivial and maps scalar object to vector object and vice versa.
+                    coalescedWrite(U_fat_v[x](mu), U_fat_v(x)(mu) + lt.c_3*W);
+                }
+            })
+
+            accelerator_for(site,Nsites,Simd::Nsimd(),{ // ----------- 5-link 
+                stencilElement SE0, SE1, SE2, SE3, SE4, SE5;
+                U3matrix U0, U1, U2, U3, U4, U5, W;
+                int sigmaIndex = 0;
+                for(int nu=0;nu<Nd;nu++) {
+                    if(nu==mu) continue;
+                    int s = stencilIndex(mu,nu);
+                    for(int rho=0;rho<Nd;rho++) {
+                        if (rho == mu || rho == nu) continue;
+
+                        SE0 = gStencil_v.GetEntry(s+0,site); int x_p_mu      = SE0->_offset;
+                        SE1 = gStencil_v.GetEntry(s+1,site); int x_p_nu      = SE1->_offset;
+                        SE2 = gStencil_v.GetEntry(s+2,site); int x           = SE2->_offset;
+                        SE3 = gStencil_v.GetEntry(s+3,site); int x_p_mu_m_nu = SE3->_offset;
+                        SE4 = gStencil_v.GetEntry(s+4,site); int x_m_nu      = SE4->_offset;
+
+                        U0 = coalescedReadGeneralPermute(      U_v[x_p_mu     ](nu ),SE0->_permute,Nd);
+                        U1 = coalescedReadGeneralPermute(U_3link_v[x_p_nu     ](rho),SE1->_permute,Nd);
+                        U2 = coalescedReadGeneralPermute(      U_v[x          ](nu ),SE2->_permute,Nd);
+                        U3 = coalescedReadGeneralPermute(      U_v[x_p_mu_m_nu](nu ),SE3->_permute,Nd);
+                        U4 = coalescedReadGeneralPermute(U_3link_v[x_m_nu     ](rho),SE4->_permute,Nd);
+                        U5 = coalescedReadGeneralPermute(      U_v[x_m_nu     ](nu ),SE4->_permute,Nd);
+
+                        W  = U2*U1*adj(U0) + adj(U5)*U4*U3;
+
+                        if(sigmaIndex<3) {
+                            coalescedWrite(U_5linkA_v[x](rho), W);
+                        } else {
+                            coalescedWrite(U_5linkB_v[x](rho), W);
+                        }    
+
+                        coalescedWrite(U_fat_v[x](mu), U_fat_v(x)(mu) + lt.c_5*W);
+                        sigmaIndex++;
+                    }
+                }
+            })
+
+            accelerator_for(site,Nsites,Simd::Nsimd(),{ // ----------- 7-link
+                stencilElement SE0, SE1, SE2, SE3, SE4, SE5;
+                U3matrix U0, U1, U2, U3, U4, U5, W;
+                int sigmaIndex = 0;
+                for(int nu=0;nu<Nd;nu++) {
+                    if(nu==mu) continue;
+                    int s = stencilIndex(mu,nu);
+                    for(int rho=0;rho<Nd;rho++) {
+                        if (rho == mu || rho == nu) continue;
+
+                        SE0 = gStencil_v.GetEntry(s+0,site); int x_p_mu      = SE0->_offset;
+                        SE1 = gStencil_v.GetEntry(s+1,site); int x_p_nu      = SE1->_offset;
+                        SE2 = gStencil_v.GetEntry(s+2,site); int x           = SE2->_offset;
+                        SE3 = gStencil_v.GetEntry(s+3,site); int x_p_mu_m_nu = SE3->_offset;
+                        SE4 = gStencil_v.GetEntry(s+4,site); int x_m_nu      = SE4->_offset;
+
+                        U0 = coalescedReadGeneralPermute(U_v[x_p_mu](nu),SE0->_permute,Nd);
+                        if(sigmaIndex<3) {
+                            U1 = coalescedReadGeneralPermute(U_5linkB_v[x_p_nu](rho),SE1->_permute,Nd);
+                        } else {
+                            U1 = coalescedReadGeneralPermute(U_5linkA_v[x_p_nu](rho),SE1->_permute,Nd);
+                        }  
+                        U2 = coalescedReadGeneralPermute(U_v[x](nu),SE2->_permute,Nd);
+                        U3 = coalescedReadGeneralPermute(U_v[x_p_mu_m_nu](nu),SE3->_permute,Nd);
+                        if(sigmaIndex<3) {
+                            U4 = coalescedReadGeneralPermute(U_5linkB_v[x_m_nu](rho),SE4->_permute,Nd);
+                        } else {
+                            U4 = coalescedReadGeneralPermute(U_5linkA_v[x_m_nu](rho),SE4->_permute,Nd);
+                        }  
+                        U5 = coalescedReadGeneralPermute(U_v[x_m_nu](nu),SE4->_permute,Nd);
+
+                        W  = U2*U1*adj(U0) + adj(U5)*U4*U3;
+
+                        coalescedWrite(U_fat_v[x](mu), U_fat_v(x)(mu) + lt.c_7*W);
+                        sigmaIndex++;
+                    }
+                }
+            })
+
+        } // end mu loop
+
+        // c1, c3, c5, c7 construct contributions
+        u_smr = Ghost.Extract(Ughost_fat) + lt.c_1*u_thin;
+
+        // Load up U and V std::vectors to access thin and smeared links.
+        std::vector<LF> U(Nd, grid);
+        std::vector<LF> V(Nd, grid);
+        std::vector<LF> Vnaik(Nd, grid);
+        for (int mu = 0; mu < Nd; mu++) {
+            U[mu] = PeekIndex<LorentzIndex>(u_thin, mu);
+            V[mu] = PeekIndex<LorentzIndex>(u_smr, mu);
+        }
+
+        for(int mu=0;mu<Nd;mu++) {
+
+            // Naik
+            Vnaik[mu] = lt.c_naik*Gimpl::CovShiftForward(U[mu],mu,
+                                    Gimpl::CovShiftForward(U[mu],mu,
+                                      Gimpl::CovShiftIdentityForward(U[mu],mu)));
+
+            // LePage
+            for (int nu_h=1;nu_h<Nd;nu_h++) {
+                int nu=(mu+nu_h)%Nd;
+                                // nu, nu, mu, Back(nu), Back(nu)
+                V[mu] = V[mu] + lt.c_lp*Gimpl::CovShiftForward(U[nu],nu,
+                                          Gimpl::CovShiftForward(U[nu],nu,
+                                            Gimpl::CovShiftForward(U[mu],mu,
+                                              Gimpl::CovShiftBackward(U[nu],nu,
+                                                Gimpl::CovShiftIdentityBackward(U[nu],nu)))))
+                                // Back(nu), Back(nu), mu, nu, nu
+                              + lt.c_lp*Gimpl::CovShiftBackward(U[nu],nu,
+                                          Gimpl::CovShiftBackward(U[nu],nu,
+                                            Gimpl::CovShiftForward(U[mu],mu,
+                                              Gimpl::CovShiftForward(U[nu],nu,
+                                                Gimpl::CovShiftIdentityForward(U[nu],nu)))));
+            }
+        }
+
+        // Put V back into u_smr.
+        for (int mu = 0; mu < Nd; mu++) {
+            PokeIndex<LorentzIndex>(u_smr , V[mu]    , mu);
+            PokeIndex<LorentzIndex>(u_naik, Vnaik[mu], mu);
+        }
+    };
+
+
+    // Intent: OUT--u_proj
+    //          IN--u_mu
+    void projectU3(GF& u_proj, GF& u_mu) const {
+
+        auto grid = this->_grid;
+
+        LF V(grid), Q(grid), sqrtQinv(grid), id_3(grid), diff(grid);
+        CF c0(grid), c1(grid), c2(grid), g0(grid), g1(grid), g2(grid), S(grid), R(grid), theta(grid), 
+           u(grid), v(grid), w(grid), den(grid), f0(grid), f1(grid), f2(grid);
+
+        // Follow MILC 10.1103/PhysRevD.82.074501, eqs (B2-B3) and (C1-C8)
+        for (int mu = 0; mu < Nd; mu++) {
+            V  = PeekIndex<LorentzIndex>(u_mu, mu);
+            Q  = adj(V)*V;
+            c0 =        real(trace(Q));
+            c1 = (1/2.)*real(trace(Q*Q));
+            c2 = (1/3.)*real(trace(Q*Q*Q));
+            S  = (1/3.)*c1-(1/18.)*c0*c0;
+            if (norm2(S)<1e-28) {
+                g0 = (1/3.)*c0; g1 = g0; g2 = g1;
+            } else {
+                R     = (1/2.)*c2-(1/3. )*c0*c1+(1/27.)*c0*c0*c0;
+                theta = acos(R*pow(S,-1.5));
+                g0    = (1/3.)*c0+2.*sqrt(S)*cos((1/3.)*theta-2*M_PI/3.);
+                g1    = (1/3.)*c0+2.*sqrt(S)*cos((1/3.)*theta          );
+                g2    = (1/3.)*c0+2.*sqrt(S)*cos((1/3.)*theta+2*M_PI/3.);
+            }
+//            if (fabs(Q.determinant()/(g0*g1*g2)-1.0) > 1e-5) { SVD }
+            u     = sqrt(g0) + sqrt(g1) + sqrt(g2);
+            v     = sqrt(g0*g1) + sqrt(g0*g2) + sqrt(g1*g2);
+            w     = sqrt(g0*g1*g2);
+            den   = w*(u*v-w);
+            f0    = (-w*(u*u+v)+u*v*v)/den;
+            f1    = (-w-u*u*u+2.*u*v)/den;
+            f2    = u/den;
+            id_3  = 1.;
+
+            sqrtQinv = f0*id_3 + f1*Q + f2*Q*Q;
+
+            PokeIndex<LorentzIndex>(u_proj, V*sqrtQinv, mu);
+        }
+    };
+
+
+//    void derivative(const GaugeField& Gauge) const {
+//    };
+};
+
+
+NAMESPACE_END(Grid);

Grid/qcd/smearing/Smearing.h

@@ -5,4 +5,5 @@
 #include <Grid/qcd/smearing/StoutSmearing.h>
 #include <Grid/qcd/smearing/GaugeConfiguration.h>
 #include <Grid/qcd/smearing/WilsonFlow.h>
+#include <Grid/qcd/smearing/HISQSmearing.h>
 

Grid/qcd/smearing/StoutSmearing.h

@@ -69,7 +69,7 @@ public:
   /*! Construct stout smearing object from explicitly specified rho matrix */
   Smear_Stout(const std::vector<double>& rho_)
     : OwnedBase{new Smear_APE<Gimpl>(rho_)}, SmearBase{OwnedBase.get()} {
-    std::cout << GridLogDebug << "Stout smearing constructor : Smear_Stout(const std::vector<double>& " << rho_ << " )" << std::endl
+    std::cout << GridLogDebug << "Stout smearing constructor : Smear_Stout(const std::vector<double>& " << rho_ << " )" << std::endl;
     assert(Nc == 3 && "Stout smearing currently implemented only for Nc==3");
     }
 

Grid/qcd/utils/CovariantLaplacian.h

@@ -54,361 +54,7 @@ struct LaplacianParams : Serializable {
       precision(precision){};
 };
 
-#define LEG_LOAD(Dir)						 \
-  SE = st.GetEntry(ptype, Dir, ss);				 \
-  if (SE->_is_local ) {						 \
-    int perm= SE->_permute;					 \
-    chi = coalescedReadPermute(in[SE->_offset],ptype,perm,lane); \
-  } else {							 \
-    chi = coalescedRead(buf[SE->_offset],lane);			 \
-  }								 \
-  acceleratorSynchronise();
 
-const std::vector<int> directions4D   ({Xdir,Ydir,Zdir,Tdir,Xdir,Ydir,Zdir,Tdir});
-const std::vector<int> displacements4D({1,1,1,1,-1,-1,-1,-1});
-
-template<class Gimpl,class Field> class CovariantAdjointLaplacianStencil : public SparseMatrixBase<Field>
-{
-public:
-  INHERIT_GIMPL_TYPES(Gimpl);
-//  RealD kappa;
-
-  typedef typename Field::vector_object siteObject;
-
-  template <typename vtype> using iImplDoubledGaugeField = iVector<iScalar<iMatrix<vtype, Nc> >, Nds>;
-  typedef iImplDoubledGaugeField<Simd> SiteDoubledGaugeField;
-  typedef Lattice<SiteDoubledGaugeField> DoubledGaugeField;
-  typedef CartesianStencil<siteObject, siteObject, DefaultImplParams> StencilImpl;
-
-  GridBase *grid;
-  StencilImpl Stencil;
-  SimpleCompressor<siteObject> Compressor;
-  DoubledGaugeField Uds;
-
-  CovariantAdjointLaplacianStencil( GridBase *_grid)
-    : grid(_grid),
-      Stencil    (grid,8,Even,directions4D,displacements4D),
-      Uds(grid){}
-
-  CovariantAdjointLaplacianStencil(GaugeField &Umu)
-    :
-      grid(Umu.Grid()),
-      Stencil    (grid,8,Even,directions4D,displacements4D),
-      Uds(grid)
-  { GaugeImport(Umu); }
-
-  void GaugeImport (const GaugeField &Umu)
-  {
-    assert(grid == Umu.Grid());
-    for (int mu = 0; mu < Nd; mu++) {
-      auto U = PeekIndex<LorentzIndex>(Umu, mu);
-      PokeIndex<LorentzIndex>(Uds, U, mu );
-      U = adj(Cshift(U, mu, -1));
-      PokeIndex<LorentzIndex>(Uds, U, mu + 4);
-    }
-  };
-  
-  virtual GridBase *Grid(void) { return grid; };
-//broken
-#if 0
-  virtual void  MDeriv(const Field &_left, Field &_right,Field &_der, int mu)
-  {
-    ///////////////////////////////////////////////
-    // Halo exchange for this geometry of stencil
-    ///////////////////////////////////////////////
-    Stencil.HaloExchange(_lef, Compressor);
-
-    ///////////////////////////////////
-    // Arithmetic expressions
-    ///////////////////////////////////
-    autoView( st     , Stencil    , AcceleratorRead);
-    auto buf = st.CommBuf();
-
-    autoView( in     , _left    , AcceleratorRead);
-    autoView( right    , _right   , AcceleratorRead);
-    autoView( der    , _der   , AcceleratorWrite);
-    autoView( U     , Uds    , AcceleratorRead);
-
-    typedef typename Field::vector_object        vobj;
-    typedef decltype(coalescedRead(left[0]))    calcObj;
-    typedef decltype(coalescedRead(U[0](0))) calcLink;
-
-    const int      Nsimd = vobj::Nsimd();
-    const uint64_t NN = grid->oSites();
-
-    accelerator_for( ss, NN, Nsimd, {
-
-	StencilEntry *SE;
-	
-	const int lane=acceleratorSIMTlane(Nsimd);
-
-	calcObj chi;
-	calcObj phi;
-	calcObj res;
-	calcObj Uchi;
-	calcObj Utmp;
-	calcObj Utmp2;
-	calcLink UU;
-	calcLink Udag;
-	int ptype;
-
-	res                 = coalescedRead(def[ss]);
-	phi                 = coalescedRead(right[ss]);
-
-#define LEG_LOAD_MULT_LINK(leg,polarisation)			\
-	UU = coalescedRead(U[ss](polarisation));	\
-	Udag = adj(UU);					\
-	LEG_LOAD(leg);					\
-	mult(&Utmp(), &UU, &chi());			\
-	Utmp2 = adj(Utmp);				\
-	mult(&Utmp(), &UU, &Utmp2());			\
-	Utmp2 = adj(Utmp);				\
-	mult(&Uchi(), &phi(), &Utmp2());			\
-	res = res + Uchi;
-	
-	LEG_LOAD_MULT_LINK(0,Xp);
-	LEG_LOAD_MULT_LINK(1,Yp);
-	LEG_LOAD_MULT_LINK(2,Zp);
-	LEG_LOAD_MULT_LINK(3,Tp);
-
-	coalescedWrite(der[ss], res,lane);
-    });
-
-  };
-#endif
-
-  virtual void  Morig(const Field &_in, Field &_out)
-  {
-    ///////////////////////////////////////////////
-    // Halo exchange for this geometry of stencil
-    ///////////////////////////////////////////////
-    Stencil.HaloExchange(_in, Compressor);
-
-    ///////////////////////////////////
-    // Arithmetic expressions
-    ///////////////////////////////////
-//    auto st = Stencil.View(AcceleratorRead);
-    autoView( st     , Stencil    , AcceleratorRead);
-    auto buf = st.CommBuf();
-
-    autoView( in     , _in    , AcceleratorRead);
-    autoView( out    , _out   , AcceleratorWrite);
-    autoView( U     , Uds    , AcceleratorRead);
-
-    typedef typename Field::vector_object        vobj;
-    typedef decltype(coalescedRead(in[0]))    calcObj;
-    typedef decltype(coalescedRead(U[0](0))) calcLink;
-
-    const int      Nsimd = vobj::Nsimd();
-    const uint64_t NN = grid->oSites();
-
-    accelerator_for( ss, NN, Nsimd, {
-
-	StencilEntry *SE;
-	
-	const int lane=acceleratorSIMTlane(Nsimd);
-
-	calcObj chi;
-	calcObj res;
-	calcObj Uchi;
-	calcObj Utmp;
-	calcObj Utmp2;
-	calcLink UU;
-	calcLink Udag;
-	int ptype;
-
-	res                 = coalescedRead(in[ss])*(-8.0);
-
-#define LEG_LOAD_MULT(leg,polarisation)			\
-	UU = coalescedRead(U[ss](polarisation));	\
-	Udag = adj(UU);					\
-	LEG_LOAD(leg);					\
-	mult(&Utmp(), &UU, &chi());			\
-	Utmp2 = adj(Utmp);				\
-	mult(&Utmp(), &UU, &Utmp2());			\
-	Uchi = adj(Utmp);				\
-	res = res + Uchi;
-	
-	LEG_LOAD_MULT(0,Xp);
-	LEG_LOAD_MULT(1,Yp);
-	LEG_LOAD_MULT(2,Zp);
-	LEG_LOAD_MULT(3,Tp);
-	LEG_LOAD_MULT(4,Xm);
-	LEG_LOAD_MULT(5,Ym);
-	LEG_LOAD_MULT(6,Zm);
-	LEG_LOAD_MULT(7,Tm);
-
-	coalescedWrite(out[ss], res,lane);
-    });
-
-  };
-  virtual void  Mnew (const Field &_in, Field &_out)
-  {
-    ///////////////////////////////////////////////
-    // Halo exchange for this geometry of stencil
-    ///////////////////////////////////////////////
-//    Stencil.HaloExchange(_in, Compressor);
-      std::vector<std::vector<CommsRequest_t> > requests;
-      Stencil.Prepare();
-  {
-    GRID_TRACE("Laplace Gather");
-    Stencil.HaloGather(_in,Compressor);
-  }
-
-  tracePush("Laplace Communication");
-  Stencil.CommunicateBegin(requests);
-  {
-    GRID_TRACE("MergeSHM");
-    Stencil.CommsMergeSHM(Compressor);
-  }
-    
-
-    ///////////////////////////////////
-    // Arithmetic expressions
-    ///////////////////////////////////
-//    auto st = Stencil.View(AcceleratorRead);
-    autoView( st     , Stencil    , AcceleratorRead);
-    auto buf = st.CommBuf();
-
-    autoView( in     , _in    , AcceleratorRead);
-    autoView( out    , _out   , AcceleratorWrite);
-    autoView( U     , Uds    , AcceleratorRead);
-
-    typedef typename Field::vector_object        vobj;
-    typedef decltype(coalescedRead(in[0]))    calcObj;
-    typedef decltype(coalescedRead(U[0](0))) calcLink;
-
-    const int      Nsimd = vobj::Nsimd();
-    const uint64_t NN = grid->oSites();
-
-    accelerator_for( ss, NN, Nsimd, {
-
-	StencilEntry *SE;
-	
-	const int lane=acceleratorSIMTlane(Nsimd);
-
-	calcObj chi;
-	calcObj res;
-	calcObj Uchi;
-	calcObj Utmp;
-	calcObj Utmp2;
-	calcLink UU;
-	calcLink Udag;
-	int ptype;
-
-	res                 = coalescedRead(in[ss])*(-8.0);
-
-
-        SE = st.GetEntry(ptype, 0, ss);				 
-        if (SE->_is_local ) {
-	LEG_LOAD_MULT(0,Xp);
-	}
-        SE = st.GetEntry(ptype, 1, ss);				 
-        if (SE->_is_local ) {
-	LEG_LOAD_MULT(1,Yp);
-	}
-        SE = st.GetEntry(ptype, 2, ss);				 
-        if (SE->_is_local ) {
-	LEG_LOAD_MULT(2,Zp);
-	}
-        SE = st.GetEntry(ptype, 3, ss);				 
-        if (SE->_is_local ) {
-	LEG_LOAD_MULT(3,Tp);
-	}
-        SE = st.GetEntry(ptype, 4, ss);				 
-        if (SE->_is_local ) {
-	LEG_LOAD_MULT(4,Xm);
-	}
-        SE = st.GetEntry(ptype, 5, ss);				 
-        if (SE->_is_local ) {
-	LEG_LOAD_MULT(5,Ym);
-	}
-        SE = st.GetEntry(ptype, 6, ss);				 
-        if (SE->_is_local ) {
-	LEG_LOAD_MULT(6,Zm);
-	}
-        SE = st.GetEntry(ptype, 7, ss);				 
-        if (SE->_is_local ) {
-	LEG_LOAD_MULT(7,Tm);
-	}
-
-	coalescedWrite(out[ss], res,lane);
-    });
-
-    Stencil.CommunicateComplete(requests);
-  tracePop("Communication");
-
-  {
-    GRID_TRACE("Merge");
-    Stencil.CommsMerge(Compressor);
-  }
-
-
-    accelerator_for( ss, NN, Nsimd, {
-
-	StencilEntry *SE;
-	
-	const int lane=acceleratorSIMTlane(Nsimd);
-
-	calcObj chi;
-	calcObj res;
-	calcObj Uchi;
-	calcObj Utmp;
-	calcObj Utmp2;
-	calcLink UU;
-	calcLink Udag;
-	int ptype;
-
-//	res                 = coalescedRead(in[ss])*(-8.0);
-	res                 = coalescedRead(out[ss]);
-
-        SE = st.GetEntry(ptype, 0, ss);				 
-        if ((SE->_is_local )==0){
-	LEG_LOAD_MULT(0,Xp);
-	}
-        SE = st.GetEntry(ptype, 1, ss);				 
-        if ((SE->_is_local )==0){
-	LEG_LOAD_MULT(1,Yp);
-	}
-        SE = st.GetEntry(ptype, 2, ss);				 
-        if ((SE->_is_local )==0){
-	LEG_LOAD_MULT(2,Zp);
-	}
-        SE = st.GetEntry(ptype, 3, ss);
-        if ((SE->_is_local )==0){
-	LEG_LOAD_MULT(3,Tp);
-	}
-        SE = st.GetEntry(ptype, 4, ss);
-        if ((SE->_is_local )==0){
-	LEG_LOAD_MULT(4,Xm);
-	}
-        SE = st.GetEntry(ptype, 5, ss);
-        if ((SE->_is_local )==0){
-	LEG_LOAD_MULT(5,Ym);
-	}
-        SE = st.GetEntry(ptype, 6, ss);
-        if ((SE->_is_local )==0){
-	LEG_LOAD_MULT(6,Zm);
-	}
-        SE = st.GetEntry(ptype, 7, ss);
-        if ((SE->_is_local )==0){
-	LEG_LOAD_MULT(7,Tm);
-	}
-
-	coalescedWrite(out[ss], res,lane);
-    });
-  };
-
-  virtual void  M(const Field &in, Field &out) {Mnew(in,out);};
-  virtual void  Mdag (const Field &in, Field &out) { M(in,out);}; // Laplacian is hermitian
-  virtual  void Mdiag    (const Field &in, Field &out)                  {assert(0);}; // Unimplemented need only for multigrid
-  virtual  void Mdir     (const Field &in, Field &out,int dir, int disp){assert(0);}; // Unimplemented need only for multigrid
-  virtual  void MdirAll  (const Field &in, std::vector<Field> &out)     {assert(0);}; // Unimplemented need only for multigrid
-};
-
-#undef LEG_LOAD_MULT
-#undef LEG_LOAD_MULT_LINK
-#undef LEG_LOAD
 
 ////////////////////////////////////////////////////////////
 // Laplacian operator L on adjoint fields
@@ -430,40 +76,29 @@ class LaplacianAdjointField: public Metric<typename Impl::Field> {
   LaplacianParams param;
   MultiShiftFunction PowerHalf;    
   MultiShiftFunction PowerInvHalf;    
-//template<class Gimpl,class Field> class CovariantAdjointLaplacianStencil : public SparseMatrixBase<Field>
-  CovariantAdjointLaplacianStencil<Impl,typename Impl::LinkField> LapStencil;
 
 public:
   INHERIT_GIMPL_TYPES(Impl);
 
-  LaplacianAdjointField(GridBase* grid, OperatorFunction<GaugeField>& S, LaplacianParams& p, const RealD k = 1.0, bool if_remez=true)
+  LaplacianAdjointField(GridBase* grid, OperatorFunction<GaugeField>& S, LaplacianParams& p, const RealD k = 1.0)
-    : U(Nd, grid), Solver(S), param(p), kappa(k)
+    : U(Nd, grid), Solver(S), param(p), kappa(k){
-	,LapStencil(grid){
     AlgRemez remez(param.lo,param.hi,param.precision);
     std::cout<<GridLogMessage << "Generating degree "<<param.degree<<" for x^(1/2)"<<std::endl;
-    if(if_remez){
     remez.generateApprox(param.degree,1,2);
     PowerHalf.Init(remez,param.tolerance,false);
     PowerInvHalf.Init(remez,param.tolerance,true);
-    }
-    this->triv=0;
         
 
   };
-  LaplacianAdjointField(){this->triv=0; printf("triv=%d\n",this->Trivial());}
+
   void Mdir(const GaugeField&, GaugeField&, int, int){ assert(0);}
   void MdirAll(const GaugeField&, std::vector<GaugeField> &){ assert(0);}
   void Mdiag(const GaugeField&, GaugeField&){ assert(0);}
 
   void ImportGauge(const GaugeField& _U) {
-    RealD total=0.;
     for (int mu = 0; mu < Nd; mu++) {
       U[mu] = PeekIndex<LorentzIndex>(_U, mu);
-      total += norm2(U[mu]);
     }
-    LapStencil.GaugeImport (_U);
-
-    std::cout << GridLogDebug <<"ImportGauge:norm2(U _U) = "<<total<<std::endl;
   }
 
   void M(const GaugeField& in, GaugeField& out) {
@@ -471,12 +106,10 @@ public:
     // test
     //GaugeField herm = in + adj(in);
     //std::cout << "AHermiticity: " << norm2(herm) << std::endl;
-//    std::cout << GridLogDebug <<"M:Kappa = "<<kappa<<std::endl;
 
-    GaugeLinkField sum(in.Grid());
-#if 0
     GaugeLinkField tmp(in.Grid());
     GaugeLinkField tmp2(in.Grid());
+    GaugeLinkField sum(in.Grid());
 
     for (int nu = 0; nu < Nd; nu++) {
       sum = Zero();
@@ -490,22 +123,10 @@ public:
       out_nu = (1.0 - kappa) * in_nu - kappa / (double(4 * Nd)) * sum;
       PokeIndex<LorentzIndex>(out, out_nu, nu);
     }
-#else
-    for (int nu = 0; nu < Nd; nu++) {
-      GaugeLinkField in_nu = PeekIndex<LorentzIndex>(in, nu);
-      GaugeLinkField out_nu(out.Grid());
-      LapStencil.M(in_nu,sum);
-      out_nu = (1.0 - kappa) * in_nu - kappa / (double(4 * Nd)) * sum;
-      PokeIndex<LorentzIndex>(out, out_nu, nu);
   }
-#endif
-//    std::cout << GridLogDebug <<"M:norm2(out) = "<<norm2(out)<<std::endl;
-  }
-
 
   void MDeriv(const GaugeField& in, GaugeField& der) {
     // in is anti-hermitian
-//    std::cout << GridLogDebug <<"MDeriv:Kappa = "<<kappa<<std::endl;
     RealD factor = -kappa / (double(4 * Nd));
     
     for (int mu = 0; mu < Nd; mu++){
@@ -519,7 +140,6 @@ public:
       // adjoint in the last multiplication
       PokeIndex<LorentzIndex>(der,  -2.0 * factor * der_mu, mu);
     } 
-    std::cout << GridLogDebug <<"MDeriv: Kappa= "<< kappa << " norm2(der) = "<<norm2(der)<<std::endl;
   }
 
   // separating this temporarily
@@ -539,22 +159,11 @@ public:
       }
       PokeIndex<LorentzIndex>(der, -factor * der_mu, mu);
     }
-    std::cout << GridLogDebug <<"MDeriv: Kappa= "<< kappa << " norm2(der) = "<<norm2(der)<<std::endl;
   }
 
   void Minv(const GaugeField& in, GaugeField& inverted){
     HermitianLinearOperator<LaplacianAdjointField<Impl>,GaugeField> HermOp(*this);
     Solver(HermOp, in, inverted);
-    std::cout << GridLogDebug <<"Minv:norm2(inverted) = "<<norm2(inverted)<<std::endl;
-  }
-
-
-  void MinvDeriv(const GaugeField& in, GaugeField& der) {
-    GaugeField X(in.Grid());
-    Minv(in,X);
-    MDeriv(X,der);
-    der *=-1.0;
-    std::cout << GridLogDebug <<"MinvDeriv:norm2(der) = "<<norm2(der)<<std::endl;
   }
 
   void MSquareRoot(GaugeField& P){
@@ -563,7 +172,6 @@ public:
     ConjugateGradientMultiShift<GaugeField> msCG(param.MaxIter,PowerHalf);
     msCG(HermOp,P,Gp);
     P = Gp; 
-    std::cout << GridLogDebug <<"MSquareRoot:norm2(P) = "<<norm2(P)<<std::endl;
   }
 
   void MInvSquareRoot(GaugeField& P){
@@ -572,7 +180,6 @@ public:
     ConjugateGradientMultiShift<GaugeField> msCG(param.MaxIter,PowerInvHalf);
     msCG(HermOp,P,Gp);
     P = Gp; 
-    std::cout << GridLogDebug <<"MInvSquareRoot:norm2(P) = "<<norm2(P)<<std::endl;
   }
 
 

Grid/qcd/utils/CovariantLaplacianRat.h

@@ -1,403 +0,0 @@
-/*************************************************************************************
-
-Grid physics library, www.github.com/paboyle/Grid
-
-Source file: ./lib/qcd/action/scalar/CovariantLaplacianRat.h
-
-Copyright (C) 2021
-
-Author: Chulwoo Jung <chulwoo@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 
-#define MIXED_CG
-//enable/disable push_back
-#undef USE_CHRONO 
-
-//#include <roctracer/roctx.h>
-
-NAMESPACE_BEGIN(Grid);
-
-struct LaplacianRatParams {
-
-  RealD offset;
-  int order;
-  std::vector<RealD> a0;
-  std::vector<RealD> a1;
-  std::vector<RealD> b0;
-  std::vector<RealD> b1;
-  RealD b2; //for debugging
-  int   MaxIter;
-  RealD tolerance;
-  int   precision;
-  
-  // constructor 
-  LaplacianRatParams(int ord = 1,
-                  int maxit     = 1000,
-                  RealD tol     = 1.0e-8, 
-                  int precision = 64)
-    : offset(1.), order(ord),b2(1.),
-      MaxIter(maxit),
-      tolerance(tol),
-      precision(precision){ 
-      a0.resize(ord,0.);
-      a1.resize(ord,0.);
-      b0.resize(ord,0.);
-      b1.resize(ord,0.);
-      };
-};
-
-
-
-////////////////////////////////////////////////////////////
-// Laplacian operator L on adjoint fields
-//
-// phi: adjoint field
-// L: D_mu^dag D_mu
-//
-// L phi(x) = Sum_mu [ U_mu(x)phi(x+mu)U_mu(x)^dag + 
-//                     U_mu(x-mu)^dag phi(x-mu)U_mu(x-mu)
-//                     -2phi(x)]
-//
-// Operator designed to be encapsulated by
-// an HermitianLinearOperator<.. , ..>
-////////////////////////////////////////////////////////////
-
-template <class Impl, class ImplF>
-class LaplacianAdjointRat: public Metric<typename Impl::Field> {
-  OperatorFunction<typename Impl::Field> &Solver;
-  LaplacianRatParams Gparam;
-  LaplacianRatParams Mparam;
-  GridBase *grid;
-  GridBase *grid_f;
-  CovariantAdjointLaplacianStencil<Impl,typename Impl::LinkField> LapStencil;
-  CovariantAdjointLaplacianStencil<ImplF,typename ImplF::LinkField> LapStencilF;
-public:
-  INHERIT_GIMPL_TYPES(Impl);
-//   typedef typename GImpl::LinkField GaugeLinkField; \
-//  typedef typename GImpl::Field GaugeField;         
-  typedef typename ImplF::Field GaugeFieldF;
-  typedef typename ImplF::LinkField GaugeLinkFieldF; \
-  GaugeField Usav;
-  GaugeFieldF UsavF;
-  std::vector< std::vector<GaugeLinkField> > prev_solnsM;
-  std::vector< std::vector<GaugeLinkField> > prev_solnsMinv;
-  std::vector< std::vector<GaugeLinkField> > prev_solnsMDeriv;
-  std::vector< std::vector<GaugeLinkField> > prev_solnsMinvDeriv;
-
-	  LaplacianAdjointRat(GridBase* _grid, GridBase* _grid_f, OperatorFunction<GaugeField>& S, LaplacianRatParams& gpar, LaplacianRatParams& mpar)
-    : grid(_grid),grid_f(_grid_f), LapStencil(_grid), LapStencilF(_grid_f), U(Nd, _grid), Solver(S), Gparam(gpar), Mparam(mpar),Usav(_grid), UsavF(_grid_f),
-      prev_solnsM(4),prev_solnsMinv(4),prev_solnsMDeriv(4),prev_solnsMinvDeriv(4) {
-//    std::cout<<GridLogMessage << "Generating degree "<<param.degree<<" for x^(1/2)"<<std::endl;
-    this->triv=0;
-        
-
-  };
-  LaplacianAdjointRat(){this->triv=0; printf("triv=%d\n",this->Trivial());}
-  void Mdir(const GaugeField&, GaugeField&, int, int){ assert(0);}
-  void MdirAll(const GaugeField&, std::vector<GaugeField> &){ assert(0);}
-  void Mdiag(const GaugeField&, GaugeField&){ assert(0);}
-
-  void ImportGauge(const GaugeField& _U) {
-    RealD total=0.;
-    for (int mu = 0; mu < Nd; mu++) {
-      U[mu] = PeekIndex<LorentzIndex>(_U, mu);
-      total += norm2(U[mu]);
-    }
-    Usav = _U;
-    precisionChange(UsavF,Usav);
-    std::cout <<GridLogDebug << "ImportGauge:norm2(_U) = "<<" "<<total<<std::endl;
-  }
-
-  void MDerivLink(const GaugeLinkField& left, const GaugeLinkField& right,
-              GaugeField& der) {
-    std::cout<<GridLogMessage << "MDerivLink start "<< std::endl;
-    RealD factor = -1. / (double(4 * Nd));
-    for (int mu = 0; mu < Nd; mu++) {
-      GaugeLinkField der_mu(der.Grid());
-      der_mu = Zero();
-//      for (int nu = 0; nu < Nd; nu++) {
-//        GaugeLinkField left_nu = PeekIndex<LorentzIndex>(left, nu);
-//        GaugeLinkField right_nu = PeekIndex<LorentzIndex>(right, nu);
-        der_mu += U[mu] * Cshift(left, mu, 1) * adj(U[mu]) * right;
-        der_mu += U[mu] * Cshift(right, mu, 1) * adj(U[mu]) * left;
-//      }
-      PokeIndex<LorentzIndex>(der, -factor * der_mu, mu);
-    }
-//    std::cout << GridLogDebug <<"MDerivLink:  norm2(der) = "<<norm2(der)<<std::endl;
-    std::cout<<GridLogMessage << "MDerivLink end "<< std::endl;
-  }
-
-  void MDerivLink(const GaugeLinkField& left, const GaugeLinkField& right,
-              std::vector<GaugeLinkField> & der) {
-//    std::cout<<GridLogMessage << "MDerivLink "<< std::endl;
-    RealD factor = -1. / (double(4 * Nd));
-
-    for (int mu = 0; mu < Nd; mu++) {
-      GaugeLinkField der_mu(left.Grid());
-      der_mu = Zero();
-        der_mu += U[mu] * Cshift(left, mu, 1) * adj(U[mu]) * right;
-        der_mu += U[mu] * Cshift(right, mu, 1) * adj(U[mu]) * left;
-//      PokeIndex<LorentzIndex>(der, -factor * der_mu, mu);
-      der[mu] = -factor*der_mu;
-//      std::cout << GridLogDebug <<"MDerivLink:  norm2(der) = "<<norm2(der[mu])<<std::endl;
-        
-    }
-//    std::cout<<GridLogMessage << "MDerivLink end "<< std::endl;
-  }
-
-  void MDerivInt(LaplacianRatParams &par, const GaugeField& left, const GaugeField& right,
-              GaugeField& der ,  std::vector< std::vector<GaugeLinkField> >& prev_solns ) {
-
-// get rid of this please
-    std::cout<<GridLogMessage << "LaplaceStart " <<std::endl;
-    RealD fac =  - 1. / (double(4 * Nd)) ;
-    RealD coef=0.5;
-    LapStencil.GaugeImport(Usav);
-    LapStencilF.GaugeImport(UsavF);
-
-
-    for (int nu=0;nu<Nd;nu++){
-        GaugeLinkField right_nu = PeekIndex<LorentzIndex>(right, nu);
-        GaugeLinkField left_nu = PeekIndex<LorentzIndex>(left, nu);
-        GaugeLinkField LMinvMom(left.Grid());
-    
-        GaugeLinkField GMom(left.Grid());
-        GaugeLinkField LMinvGMom(left.Grid());
-    
-        GaugeLinkField AGMom(left.Grid());
-        GaugeLinkField MinvAGMom(left.Grid());
-        GaugeLinkField LMinvAGMom(left.Grid());
-    
-        GaugeLinkField AMinvMom(left.Grid());
-        GaugeLinkField LMinvAMom(left.Grid());
-        GaugeLinkField temp(left.Grid());
-        GaugeLinkField temp2(left.Grid());
-    
-        std::vector<GaugeLinkField> MinvMom(par.order,left.Grid());
-    
-        GaugeLinkField MinvGMom(left.Grid());
-        GaugeLinkField Gtemp(left.Grid());
-        GaugeLinkField Gtemp2(left.Grid());
-    
-    
-        ConjugateGradient<GaugeLinkField> CG(par.tolerance,10000,false);
-    //    ConjugateGradient<GaugeFieldF> CG_f(par.tolerance,10000,false);
-        LaplacianParams LapPar(0.0001, 1.0, 10000, 1e-8, 12, 64);
-    
-        ChronoForecast< QuadLinearOperator<CovariantAdjointLaplacianStencil<Impl,GaugeLinkField>,GaugeLinkField> , GaugeLinkField> Forecast;
-    
-        GMom = par.offset * right_nu;
-    
-        for(int i =0;i<par.order;i++){
-        QuadLinearOperator<CovariantAdjointLaplacianStencil<Impl,typename Impl::LinkField>,GaugeLinkField> QuadOp(LapStencil,par.b0[i],fac*par.b1[i],fac*fac*par.b2);
-#if USE_CHRONO
-        MinvMom[i] = Forecast(QuadOp, right_nu, prev_solns[nu]);
-#endif
-#ifndef MIXED_CG
-        CG(QuadOp,right_nu,MinvMom[i]);
-#else
-        QuadLinearOperator<CovariantAdjointLaplacianStencil<ImplF,typename ImplF::LinkField>,GaugeLinkFieldF> QuadOpF(LapStencilF,par.b0[i],fac*par.b1[i],fac*fac*par.b2);
-    //    QuadLinearOperator<LaplacianAdjointField<ImplF>,GaugeLinkFieldF> QuadOpF(LapStencilF,par.b0[i],par.b1[i],par.b2);
-        MixedPrecisionConjugateGradient<GaugeLinkField,GaugeLinkFieldF> MixedCG(par.tolerance,10000,10000,grid_f,QuadOpF,QuadOp);
-        MixedCG.InnerTolerance=par.tolerance;
-        MixedCG(right_nu,MinvMom[i]);
-    #endif
-    #if USE_CHRONO
-        prev_solns[nu].push_back(MinvMom[i]);
-    #endif
-        
-        GMom += par.a0[i]*MinvMom[i]; 
-        LapStencil.M(MinvMom[i],Gtemp2);
-        GMom += par.a1[i]*fac*Gtemp2; 
-        }
-        for(int i =0;i<par.order;i++){
-        QuadLinearOperator<CovariantAdjointLaplacianStencil<Impl,typename Impl::LinkField>,GaugeLinkField> QuadOp(LapStencil,par.b0[i],fac*par.b1[i],fac*fac*par.b2);
-    
-        MinvGMom = Forecast(QuadOp, GMom, prev_solns[nu]);
-    #ifndef MIXED_CG
-        CG(QuadOp,GMom,MinvGMom);
-        LapStencil.M(MinvGMom, Gtemp2); LMinvGMom=fac*Gtemp2;
-        CG(QuadOp,right_nu,MinvMom[i]);
-    #else
-        QuadLinearOperator<CovariantAdjointLaplacianStencil<ImplF,typename ImplF::LinkField>,GaugeLinkFieldF> QuadOpF(LapStencilF,par.b0[i],fac*par.b1[i],fac*fac*par.b2);
-    //    QuadLinearOperator<LaplacianAdjointField<ImplF>,GaugeLinkFieldF> QuadOpF(LapStencilF,par.b0[i],par.b1[i],par.b2);
-        MixedPrecisionConjugateGradient<GaugeLinkField,GaugeLinkFieldF> MixedCG(par.tolerance,10000,10000,grid_f,QuadOpF,QuadOp);
-        MixedCG.InnerTolerance=par.tolerance;
-        MixedCG(GMom,MinvGMom);
-        LapStencil.M(MinvGMom, Gtemp2); LMinvGMom=fac*Gtemp2;
-    //    Laplacian.M(MinvGMom, LMinvGMom);
-        MixedCG(right_nu,MinvMom[i]);
-    #endif
-#if USE_CHRONO
-        prev_solns[nu].push_back(MinvGMom);
-#endif
-    
-        LapStencil.M(MinvMom[i], Gtemp2); LMinvMom=fac*Gtemp2;
-        AMinvMom = par.a1[i]*LMinvMom;
-        AMinvMom += par.a0[i]*MinvMom[i];
-    
-        LapStencil.M(AMinvMom, Gtemp2); LMinvAMom=fac*Gtemp2;
-        LapStencil.M(MinvGMom, Gtemp2); temp=fac*Gtemp2;
-        MinvAGMom = par.a1[i]*temp;
-        MinvAGMom += par.a0[i]*MinvGMom;
-        LapStencil.M(MinvAGMom, Gtemp2); LMinvAGMom=fac*Gtemp2;
-    
-    
-        GaugeField tempDer(left.Grid());
-        std::vector<GaugeLinkField> DerLink(Nd,left.Grid());
-        std::vector<GaugeLinkField> tempDerLink(Nd,left.Grid());
-
-        std::cout<<GridLogMessage << "force contraction "<< i <<std::endl;
-    //    roctxRangePushA("RMHMC force contraction");
- #if 0
-        MDerivLink(GMom,MinvMom[i],tempDer); der += coef*2*par.a1[i]*tempDer;
-        MDerivLink(left_nu,MinvGMom,tempDer); der += coef*2*par.a1[i]*tempDer;
-        MDerivLink(LMinvAGMom,MinvMom[i],tempDer); der += coef*-2.*par.b2*tempDer;
-        MDerivLink(LMinvAMom,MinvGMom,tempDer); der += coef*-2.*par.b2*tempDer;
-        MDerivLink(MinvAGMom,LMinvMom,tempDer); der += coef*-2.*par.b2*tempDer;
-        MDerivLink(AMinvMom,LMinvGMom,tempDer); der += coef*-2.*par.b2*tempDer;
-        MDerivLink(MinvAGMom,MinvMom[i],tempDer); der += coef*-2.*par.b1[i]*tempDer;
-        MDerivLink(AMinvMom,MinvGMom,tempDer); der += coef*-2.*par.b1[i]*tempDer;
-#else
-	for (int mu=0;mu<Nd;mu++) DerLink[mu]=Zero();
-        MDerivLink(GMom,MinvMom[i],tempDerLink); 	for (int mu=0;mu<Nd;mu++) DerLink[mu] += coef*2*par.a1[i]*tempDerLink[mu];
-        MDerivLink(left_nu,MinvGMom,tempDerLink); 	for (int mu=0;mu<Nd;mu++) DerLink[mu] += coef*2*par.a1[i]*tempDerLink[mu];
-        MDerivLink(LMinvAGMom,MinvMom[i],tempDerLink); 	for (int mu=0;mu<Nd;mu++) DerLink[mu] += coef*-2.*par.b2*tempDerLink[mu];
-        MDerivLink(LMinvAMom,MinvGMom,tempDerLink); 	for (int mu=0;mu<Nd;mu++) DerLink[mu] += coef*-2.*par.b2*tempDerLink[mu];
-        MDerivLink(MinvAGMom,LMinvMom,tempDerLink); 	for (int mu=0;mu<Nd;mu++) DerLink[mu] += coef*-2.*par.b2*tempDerLink[mu];
-        MDerivLink(AMinvMom,LMinvGMom,tempDerLink); 	for (int mu=0;mu<Nd;mu++) DerLink[mu] += coef*-2.*par.b2*tempDerLink[mu];
-        MDerivLink(MinvAGMom,MinvMom[i],tempDerLink); 	for (int mu=0;mu<Nd;mu++) DerLink[mu] += coef*-2.*par.b1[i]*tempDerLink[mu];
-        MDerivLink(AMinvMom,MinvGMom,tempDerLink); 	for (int mu=0;mu<Nd;mu++) DerLink[mu] += coef*-2.*par.b1[i]*tempDerLink[mu];
-//      PokeIndex<LorentzIndex>(der, -factor * der_mu, mu);
-        for (int mu=0;mu<Nd;mu++) PokeIndex<LorentzIndex>(tempDer, tempDerLink[mu], mu);
-
-	der += tempDer;
-#endif
-        std::cout<<GridLogMessage << "coef =  force contraction "<< i << "done "<< coef <<std::endl;
-    //    roctxRangePop();
-    
-        }
-    }
-    std::cout<<GridLogMessage << "LaplaceEnd " <<std::endl;
-//  exit(-42);
-  }
-
-  void MDeriv(const GaugeField& in, GaugeField& der) {
-    MDeriv(in,in, der);
-  }
-
-  void MDeriv(const GaugeField& left, const GaugeField& right,
-              GaugeField& der) {
-
-    der=Zero();
-    MDerivInt(Mparam, left, right, der,prev_solnsMDeriv );
-    std::cout <<GridLogDebug << "MDeriv:norm2(der) = "<<norm2(der)<<std::endl;
-  }
-
-  void MinvDeriv(const GaugeField& in, GaugeField& der) {
-    std::vector< std::vector<GaugeLinkField> > prev_solns(4);
-    der=Zero();
-    MDerivInt(Gparam, in, in, der,prev_solnsMinvDeriv);
-    std::cout <<GridLogDebug << "MinvDeriv:norm2(der) = "<<norm2(der)<<std::endl;
-  }
-
-
-  void MSquareRootInt(LaplacianRatParams &par, GaugeField& P, std::vector< std::vector<GaugeLinkField> > & prev_solns ){
-
-    std::cout<<GridLogMessage << "LaplaceStart " <<std::endl;
-    RealD fac = -1. / (double(4 * Nd));
-    LapStencil.GaugeImport(Usav);
-    LapStencilF.GaugeImport(UsavF);
-    for(int nu=0; nu<Nd;nu++){
-        GaugeLinkField P_nu = PeekIndex<LorentzIndex>(P, nu);
-        GaugeLinkField Gp(P.Grid());
-        Gp = par.offset * P_nu;
-        ConjugateGradient<GaugeLinkField> CG(par.tolerance,10000);
-    //    ConjugateGradient<GaugeLinkFieldF> CG_f(1.0e-8,10000);
-    
-        ChronoForecast< QuadLinearOperator<CovariantAdjointLaplacianStencil<Impl,typename Impl::LinkField>,GaugeLinkField> , GaugeLinkField> Forecast;
-    
-        GaugeLinkField Gtemp(P.Grid());
-        GaugeLinkField Gtemp2(P.Grid());
-    
-    
-        for(int i =0;i<par.order;i++){
-        QuadLinearOperator<CovariantAdjointLaplacianStencil<Impl,typename Impl::LinkField>,GaugeLinkField> QuadOp(LapStencil,par.b0[i],fac*par.b1[i],fac*fac*par.b2);
-    
-        Gtemp = Forecast(QuadOp, P_nu, prev_solns[nu]);
-    #ifndef MIXED_CG
-        CG(QuadOp,P_nu,Gtemp);
-    #else
-        QuadLinearOperator<CovariantAdjointLaplacianStencil<ImplF,typename ImplF::LinkField>,GaugeLinkFieldF> QuadOpF(LapStencilF,par.b0[i],fac*par.b1[i],fac*fac*par.b2);
-    //    QuadLinearOperator<LaplacianAdjointField<ImplF>,GaugeFieldF> QuadOpF(LapStencilF,par.b0[i],par.b1[i],par.b2);
-        MixedPrecisionConjugateGradient<GaugeLinkField,GaugeLinkFieldF> MixedCG(par.tolerance,10000,10000,grid_f,QuadOpF,QuadOp);
-        MixedCG.InnerTolerance=par.tolerance;
-        MixedCG(P_nu,Gtemp);
-    #endif
-    #if USE_CHRONO
-        prev_solns[nu].push_back(Gtemp);
-    #endif
-    
-        Gp += par.a0[i]*Gtemp; 
-        LapStencil.M(Gtemp,Gtemp2);
-        Gp += par.a1[i]*fac*Gtemp2; 
-        }
-        PokeIndex<LorentzIndex>(P, Gp, nu);
-    }
-    std::cout<<GridLogMessage << "LaplaceEnd " <<std::endl;
-  }
-
-  void MSquareRoot(GaugeField& P){
-    std::vector< std::vector<GaugeLinkField> > prev_solns(4);
-    MSquareRootInt(Mparam,P,prev_solns);
-    std::cout <<GridLogDebug << "MSquareRoot:norm2(P) = "<<norm2(P)<<std::endl;
-  }
-
-  void MInvSquareRoot(GaugeField& P){
-    std::vector< std::vector<GaugeLinkField> > prev_solns(4);
-    MSquareRootInt(Gparam,P,prev_solns);
-    std::cout <<GridLogDebug << "MInvSquareRoot:norm2(P) = "<<norm2(P)<<std::endl;
-  }
-
-  void M(const GaugeField& in, GaugeField& out) {
-      out = in;
-      std::vector< std::vector<GaugeLinkField> > prev_solns(4);
-      MSquareRootInt(Mparam,out,prev_solns);
-      MSquareRootInt(Mparam,out,prev_solns);
-      std::cout <<GridLogDebug << "M:norm2(out) = "<<norm2(out)<<std::endl;
-  }
-
-  void Minv(const GaugeField& in, GaugeField& inverted){
-      inverted = in;
-      std::vector< std::vector<GaugeLinkField> > prev_solns(4);
-      MSquareRootInt(Gparam,inverted,prev_solns);
-      MSquareRootInt(Gparam,inverted,prev_solns);
-      std::cout <<GridLogDebug << "Minv:norm2(inverted) = "<<norm2(inverted)<<std::endl;
-  }
-
-
-
-private:
-  std::vector<GaugeLinkField> U;
-};
-#undef MIXED_CG
-
-NAMESPACE_END(Grid);

Grid/qcd/utils/GaugeGroup.h

@@ -100,6 +100,9 @@ class GaugeGroup {
   using iGroupMatrix = iScalar<iScalar<iMatrix<vtype, ncolour> > >;
   template <typename vtype>
   using iAlgebraVector = iScalar<iScalar<iVector<vtype, AdjointDimension> > >;
+  template <typename vtype>
+  using iSUnAlgebraMatrix =
+    iScalar<iScalar<iMatrix<vtype, AdjointDimension> > >;
   static int su2subgroups(void) { return su2subgroups(group_name()); }
 
   //////////////////////////////////////////////////////////////////////////////////////////////////
@@ -133,6 +136,15 @@ class GaugeGroup {
   typedef Lattice<vAlgebraVectorF> LatticeAlgebraVectorF;
   typedef Lattice<vAlgebraVectorD> LatticeAlgebraVectorD;
    
+  typedef iSUnAlgebraMatrix<vComplex>  vAlgebraMatrix;
+  typedef iSUnAlgebraMatrix<vComplexF> vAlgebraMatrixF;
+  typedef iSUnAlgebraMatrix<vComplexD> vAlgebraMatrixD;
+
+  typedef Lattice<vAlgebraMatrix>  LatticeAlgebraMatrix;
+  typedef Lattice<vAlgebraMatrixF> LatticeAlgebraMatrixF;
+  typedef Lattice<vAlgebraMatrixD> LatticeAlgebraMatrixD;
+  
+
   typedef iSU2Matrix<Complex> SU2Matrix;
   typedef iSU2Matrix<ComplexF> SU2MatrixF;
   typedef iSU2Matrix<ComplexD> SU2MatrixD;
@@ -160,7 +172,7 @@ class GaugeGroup {
     return generator(lieIndex, ta, group_name());
   }
 
-  static void su2SubGroupIndex(int &i1, int &i2, int su2_index) {
+  static accelerator_inline void su2SubGroupIndex(int &i1, int &i2, int su2_index) {
     return su2SubGroupIndex(i1, i2, su2_index, group_name());
   }
 
@@ -389,6 +401,52 @@ class GaugeGroup {
     }
   }
 
+// Ta are hermitian (?)
+// Anti herm is i Ta basis
+static void LieAlgebraProject(LatticeAlgebraMatrix &out,const LatticeMatrix &in, int b)
+{
+  conformable(in, out);
+  GridBase *grid = out.Grid();
+  LatticeComplex tmp(grid);
+  Matrix ta;
+  // Using Luchang's projection convention
+  //  2 Tr{Ta Tb} A_b= 2/2 delta ab A_b = A_a
+  autoView(out_v,out,AcceleratorWrite);
+  autoView(in_v,in,AcceleratorRead);
+  int N = ncolour;
+  int NNm1 = N * (N - 1);
+  int hNNm1= NNm1/2;
+  RealD sqrt_2 = sqrt(2.0);
+  Complex ci(0.0,1.0);
+  for(int su2Index=0;su2Index<hNNm1;su2Index++){
+    int i1, i2;
+    su2SubGroupIndex(i1, i2, su2Index);
+    int ax = su2Index*2;
+    int ay = su2Index*2+1;
+    accelerator_for(ss,grid->oSites(),1,{
+	// in is traceless ANTI-hermitian whereas Grid generators are Hermitian.
+	// trace( Ta x Ci in)
+	// Bet I need to move to real part with mult by -i
+	out_v[ss]()()(ax,b) = 0.5*(real(in_v[ss]()()(i2,i1)) - real(in_v[ss]()()(i1,i2)));
+	out_v[ss]()()(ay,b) = 0.5*(imag(in_v[ss]()()(i1,i2)) + imag(in_v[ss]()()(i2,i1)));
+      });
+  }
+  for(int diagIndex=0;diagIndex<N-1;diagIndex++){
+    int k = diagIndex + 1; // diagIndex starts from 0
+    int a = NNm1+diagIndex;
+    RealD scale = 1.0/sqrt(2.0*k*(k+1));
+    accelerator_for(ss,grid->oSites(),vComplex::Nsimd(),{
+	auto tmp = in_v[ss]()()(0,0);
+	for(int i=1;i<k;i++){
+	  tmp=tmp+in_v[ss]()()(i,i);
+	}
+	tmp = tmp - in_v[ss]()()(k,k)*k;
+	out_v[ss]()()(a,b) =imag(tmp) * scale;
+      });
+    }
+}
+
+  
 };
     
 template <int ncolour>

Grid/qcd/utils/Metric.h

@@ -7,7 +7,6 @@ Source file: ./lib/qcd/hmc/integrators/Integrator.h
 Copyright (C) 2015
 
 Author: Guido Cossu <guido.cossu@ed.ac.uk>
-Author: Chulwoo Jung <chulwoo@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
@@ -34,12 +33,7 @@ NAMESPACE_BEGIN(Grid);
 
 template <typename Field> 
 class Metric{
-protected:
-  int triv;
 public:
-  Metric(){this->triv=1;}
-  int Trivial(){ return triv;}
-//printf("Metric::Trivial=%d\n",triv); ;
   virtual void ImportGauge(const Field&)   = 0;
   virtual void M(const Field&, Field&)     = 0;
   virtual void Minv(const Field&, Field&)  = 0;
@@ -47,8 +41,6 @@ public:
   virtual void MInvSquareRoot(Field&) = 0;
   virtual void MDeriv(const Field&, Field&) = 0;
   virtual void MDeriv(const Field&, const Field&, Field&) = 0;
-  virtual void MinvDeriv(const Field&, Field&) = 0;
-//  virtual void MinvDeriv(const Field&, const Field&, Field&) = 0;
 };
 
 
@@ -56,36 +48,23 @@ public:
 template <typename Field>
 class TrivialMetric : public Metric<Field>{
 public:
-//  TrivialMetric(){this->triv=1;printf("TrivialMetric::triv=%d\n",this->Trivial());}
   virtual void ImportGauge(const Field&){};
   virtual void M(const Field& in, Field& out){
-//    printf("M:norm=%0.15e\n",norm2(in));
-    std::cout << GridLogIntegrator << " M:norm(in)= " << std::sqrt(norm2(in)) << std::endl;
     out = in;
   }
   virtual void Minv(const Field& in, Field& out){
-    std::cout << GridLogIntegrator << " Minv:norm(in)= " << std::sqrt(norm2(in)) << std::endl;
     out = in;
   }
   virtual void MSquareRoot(Field& P){
-    std::cout << GridLogIntegrator << " MSquareRoot:norm(P)= " << std::sqrt(norm2(P)) << std::endl;
     // do nothing
   }
   virtual void MInvSquareRoot(Field& P){
-    std::cout << GridLogIntegrator << " MInvSquareRoot:norm(P)= " << std::sqrt(norm2(P)) << std::endl;
     // do nothing
   }
   virtual void MDeriv(const Field& in, Field& out){
-    std::cout << GridLogIntegrator << " MDeriv:norm(in)= " << std::sqrt(norm2(in)) << std::endl;
-    out = Zero();
-  }
-  virtual void MinvDeriv(const Field& in, Field& out){
-    std::cout << GridLogIntegrator << " MinvDeriv:norm(in)= " << std::sqrt(norm2(in)) << std::endl;
     out = Zero();
   }
   virtual void MDeriv(const Field& left, const Field& right, Field& out){
-    std::cout << GridLogIntegrator << " MDeriv:norm(left)= " << std::sqrt(norm2(left)) << std::endl;
-    std::cout << GridLogIntegrator << " MDeriv:norm(right)= " << std::sqrt(norm2(right)) << std::endl;
     out = Zero();
   }
 
@@ -122,15 +101,14 @@ public:
     // Generate gaussian momenta
     Implementation::generate_momenta(Mom, sRNG, pRNG);
     // Modify the distribution with the metric
-//    if(M.Trivial()) return;
     M.MSquareRoot(Mom);
 
     if (1) {
       // Auxiliary momenta
       // do nothing if trivial, so hide in the metric
       MomentaField AuxMomTemp(Mom.Grid());
-      Implementation::generate_momenta(AuxMom, sRNG,pRNG);
+      Implementation::generate_momenta(AuxMom, sRNG, pRNG);
-      Implementation::generate_momenta(AuxField, sRNG,pRNG);
+      Implementation::generate_momenta(AuxField, sRNG, pRNG);
       // Modify the distribution with the metric
       // Aux^dag M Aux
       M.MInvSquareRoot(AuxMom);  // AuxMom = M^{-1/2} AuxMomTemp
@@ -139,12 +117,11 @@ public:
 
   // Correct
   RealD MomentaAction(){
-    static RealD Saux=0.,Smom=0.;
     MomentaField inv(Mom.Grid());
     inv = Zero();
     M.Minv(Mom, inv);
-    LatticeComplex Hloc(Mom.Grid()); Hloc = Zero();
+    LatticeComplex Hloc(Mom.Grid());
-    LatticeComplex Hloc2(Mom.Grid()); Hloc2 = Zero();
+    Hloc = Zero();
     for (int mu = 0; mu < Nd; mu++) {
       // This is not very general
       // hide in the metric
@@ -152,15 +129,8 @@ public:
       auto inv_mu = PeekIndex<LorentzIndex>(inv, mu);
       Hloc += trace(Mom_mu * inv_mu);
     }
-    auto Htmp1 = TensorRemove(sum(Hloc));
-    std::cout << GridLogMessage << "S:dSmom = " << Htmp1.real()-Smom << "\n";
-    Smom=Htmp1.real()/HMC_MOMENTUM_DENOMINATOR;
 
-
+    if (1) {
-    
-
-//    if(!M.Trivial()) 
-    {
       // Auxiliary Fields
       // hide in the metric
       M.M(AuxMom, inv);
@@ -170,18 +140,13 @@ public:
         auto inv_mu = PeekIndex<LorentzIndex>(inv, mu);
         auto am_mu = PeekIndex<LorentzIndex>(AuxMom, mu);
         auto af_mu = PeekIndex<LorentzIndex>(AuxField, mu);
-        Hloc += trace(am_mu * inv_mu);
+        Hloc += trace(am_mu * inv_mu);// p M p
-        Hloc2 += trace(af_mu * af_mu);
+        Hloc += trace(af_mu * af_mu);
       }
     }
-    auto Htmp2 = TensorRemove(sum(Hloc))-Htmp1;
-    std::cout << GridLogMessage << "S:dSaux = " << Htmp2.real()-Saux << "\n";
-    Saux=Htmp2.real();
 
-    auto Hsum = TensorRemove(sum(Hloc))/HMC_MOMENTUM_DENOMINATOR;
+    auto Hsum = TensorRemove(sum(Hloc));
-    auto Hsum2 = TensorRemove(sum(Hloc2));
+    return Hsum.real();
-    std::cout << GridLogIntegrator << "MomentaAction: " <<  Hsum.real()+Hsum2.real() << std::endl;
-    return Hsum.real()+Hsum2.real();
   }
 
   // Correct
@@ -192,17 +157,15 @@ public:
     MomentaField MDer(in.Grid());
     MomentaField X(in.Grid());
     X = Zero();
-    M.MinvDeriv(in, MDer);  // MDer = U * dS/dU
+    M.Minv(in, X);  // X = G in
-    der = -1.0* Implementation::projectForce(MDer);  // Ta if gauge fields
+    M.MDeriv(X, MDer);  // MDer = U * dS/dU
-//    std::cout << GridLogIntegrator << " DerivativeU: norm(in)= " << std::sqrt(norm2(in)) << std::endl;
+    der = Implementation::projectForce(MDer);  // Ta if gauge fields
-//    std::cout << GridLogIntegrator << " DerivativeU: norm(der)= " << std::sqrt(norm2(der)) << std::endl;
     
   }
 
   void AuxiliaryFieldsDerivative(MomentaField& der){
     der = Zero();
-//    if(!M.Trivial()) 
+    if (1){
-    {
       // Auxiliary fields
       MomentaField der_temp(der.Grid());
       MomentaField X(der.Grid());
@@ -210,7 +173,6 @@ public:
       //M.M(AuxMom, X); // X = M Aux
       // Two derivative terms
       // the Mderiv need separation of left and right terms
-    std::cout << GridLogIntegrator << " AuxiliaryFieldsDerivative:norm(AuxMom)= " << std::sqrt(norm2(AuxMom)) << std::endl;
       M.MDeriv(AuxMom, der); 
 
 
@@ -218,7 +180,6 @@ public:
       //M.MDeriv(X, AuxMom, der_temp); der += der_temp;
 
       der = -1.0*Implementation::projectForce(der);
-      std::cout << GridLogIntegrator << " AuxiliaryFieldsDerivative:norm(der)= " << std::sqrt(norm2(der)) << std::endl;
     }
   }
 
@@ -228,28 +189,22 @@ public:
     // is the projection necessary here?
     // no for fields in the algebra
     der = Implementation::projectForce(der); 
-    std::cout << GridLogIntegrator << " DerivativeP:norm(der)= " << std::sqrt(norm2(der)) << std::endl;
   }
 
   void update_auxiliary_momenta(RealD ep){
-      std::cout << GridLogIntegrator << "AuxMom update_auxiliary_fields: " << std::sqrt(norm2(AuxMom)) << std::endl;
+    if(1){
-      std::cout << GridLogIntegrator << "AuxField update_auxiliary_fields: " << std::sqrt(norm2(AuxField)) << std::endl;
+      AuxMom -= ep * AuxField;
-    {
-      AuxMom -= ep * AuxField * HMC_MOMENTUM_DENOMINATOR;
-      std::cout << GridLogIntegrator << "AuxMom update_auxiliary_fields: " << std::sqrt(norm2(AuxMom)) << std::endl;
     }
   }
 
   void update_auxiliary_fields(RealD ep){
-//    if(!M.Trivial()) 
+    if (1) {
-    {
       MomentaField tmp(AuxMom.Grid());
       MomentaField tmp2(AuxMom.Grid());
       M.M(AuxMom, tmp);
       // M.M(tmp, tmp2);
       AuxField += ep * tmp;  // M^2 AuxMom
       // factor of 2?
-      std::cout << GridLogIntegrator << "AuxField update_auxiliary_fields: " << std::sqrt(norm2(AuxField)) << std::endl;
     }
   }
 

Grid/qcd/utils/SUn.impl.h

@@ -10,6 +10,7 @@
 // doesn't get found by the scripts/filelist during bootstrapping.
 
 private:
+
 template <ONLY_IF_SU>
 static int su2subgroups(GroupName::SU) { return (ncolour * (ncolour - 1)) / 2; }
 ////////////////////////////////////////////////////////////////////////
@@ -576,3 +577,4 @@ static void RandomGaugeTransform(GridParallelRNG &pRNG, typename Gimpl::GaugeFie
   LieRandomize(pRNG,g,1.0);
   GaugeTransform<Gimpl>(Umu,g);
 }
+

Grid/sitmo_rng/sitmo_prng_engine.hpp

@@ -218,6 +218,10 @@ public:
     // -------------------------------------------------
     // misc
     // -------------------------------------------------
+    void discardhi(uint64_t z) {
+      _s[3] += z;
+      encrypt_counter();
+    }
     
     // req: 26.5.1.4 Random number engine requirements, p.908 table 117, row 9
     // Advances e’s state ei to ei+z by any means equivalent to z

Grid/stencil/GeneralLocalStencil.h

@@ -137,5 +137,55 @@ public:
   
 };
 
+
+////////////////////////////////////////////////
+// Some machinery to streamline making a stencil 
+////////////////////////////////////////////////
+
+class shiftSignal {
+public:
+    enum {
+        BACKWARD_CONST = 16,
+        NO_SHIFT       = -1
+    };
+};
+
+// TODO: put a check somewhere that BACKWARD_CONST > Nd!
+
+/*!  @brief signals that you want to go backwards in direction dir */
+inline int Back(const int dir) {
+    // generalShift will use BACKWARD_CONST to determine whether we step forward or 
+    // backward. Trick inspired by SIMULATeQCD. 
+    return dir + shiftSignal::BACKWARD_CONST;
+}
+
+/*!  @brief shift one unit in direction dir */
+template<typename... Args>
+void generalShift(Coordinate& shift, int dir) {
+    if (dir >= shiftSignal::BACKWARD_CONST) {
+        dir -= shiftSignal::BACKWARD_CONST;
+        shift[dir]+=-1;
+    } else if (dir == shiftSignal::NO_SHIFT) {
+        ; // do nothing
+    } else {
+        shift[dir]+=1;
+    }
+}
+
+/*!  @brief follow a path of directions, shifting one unit in each direction */
+template<typename... Args>
+void generalShift(Coordinate& shift, int dir, Args... args) {
+    if (dir >= shiftSignal::BACKWARD_CONST) {
+        dir -= shiftSignal::BACKWARD_CONST;
+        shift[dir]+=-1;
+    } else if (dir == shiftSignal::NO_SHIFT) {
+        ; // do nothing
+    } else {
+        shift[dir]+=1;
+    }
+    generalShift(shift, args...);
+}
+
+
 NAMESPACE_END(Grid);
 

Grid/stencil/Stencil.h

@@ -706,7 +706,7 @@ public:
 	}
       }
     }
-    std::cout << GridLogDebug << "BuildSurfaceList size is "<<surface_list.size()<<std::endl;
+    //std::cout << "BuildSurfaceList size is "<<surface_list.size()<<std::endl;
   }
   /// Introduce a block structure and switch off comms on boundaries
   void DirichletBlock(const Coordinate &dirichlet_block)
@@ -761,7 +761,8 @@ public:
 		   int checkerboard,
 		   const std::vector<int> &directions,
 		   const std::vector<int> &distances,
-		   Parameters p=Parameters())
+		   Parameters p=Parameters(),
+		   bool preserve_shm=false)
   {
     face_table_computed=0;
     _grid    = grid;
@@ -855,6 +856,8 @@ public:
     /////////////////////////////////////////////////////////////////////////////////
     const int Nsimd = grid->Nsimd();
 
+    // Allow for multiple stencils to exist simultaneously
+    if (!preserve_shm)
       _grid->ShmBufferFreeAll();
 
     int maxl=2;

Grid/tensors/Tensor_trace.h

@@ -69,6 +69,35 @@ accelerator_inline auto trace(const iVector<vtype,N> &arg) -> iVector<decltype(t
   }
   return ret;
 }
+////////////////////////////
+// Fast path traceProduct
+////////////////////////////
+template<class S1 , class S2, IfNotGridTensor<S1> = 0, IfNotGridTensor<S2> = 0>
+accelerator_inline auto traceProduct( const S1 &arg1,const S2 &arg2)
+  -> decltype(arg1*arg2)
+{
+  return arg1*arg2;
+}
+
+template<class vtype,class rtype,int N >
+accelerator_inline auto traceProduct(const iMatrix<vtype,N> &arg1,const iMatrix<rtype,N> &arg2) -> iScalar<decltype(trace(arg1._internal[0][0]*arg2._internal[0][0]))>
+{
+  iScalar<decltype( trace(arg1._internal[0][0]*arg2._internal[0][0] )) > ret;
+  zeroit(ret._internal);
+  for(int i=0;i<N;i++){
+  for(int j=0;j<N;j++){
+    ret._internal=ret._internal+traceProduct(arg1._internal[i][j],arg2._internal[j][i]);
+  }}
+  return ret;
+}
+
+template<class vtype,class rtype >
+accelerator_inline auto traceProduct(const iScalar<vtype> &arg1,const iScalar<rtype> &arg2) -> iScalar<decltype(trace(arg1._internal*arg2._internal))>
+{
+  iScalar<decltype(trace(arg1._internal*arg2._internal))> ret;
+  ret._internal=traceProduct(arg1._internal,arg2._internal);
+  return ret;
+}
 
 NAMESPACE_END(Grid);
 

Grid/tensors/Tensor_traits.h

@@ -34,9 +34,12 @@ NAMESPACE_BEGIN(Grid);
 
   // These are the Grid tensors
   template<typename T>     struct isGridTensor                : public std::false_type { static constexpr bool notvalue = true; };
-  template<class T>        struct isGridTensor<iScalar<T>>    : public std::true_type  { static constexpr bool notvalue = false; };
+  template<class T>        struct isGridTensor<iScalar<T> >   : public std::true_type  { static constexpr bool notvalue = false; };
-  template<class T, int N> struct isGridTensor<iVector<T, N>> : public std::true_type  { static constexpr bool notvalue = false; };
+  template<class T, int N> struct isGridTensor<iVector<T, N> >: public std::true_type  { static constexpr bool notvalue = false; };
-  template<class T, int N> struct isGridTensor<iMatrix<T, N>> : public std::true_type  { static constexpr bool notvalue = false; };
+  template<class T, int N> struct isGridTensor<iMatrix<T, N> >: public std::true_type  { static constexpr bool notvalue = false; };
+
+  template <typename T>  using IfGridTensor    = Invoke<std::enable_if<isGridTensor<T>::value, int> >;
+  template <typename T>  using IfNotGridTensor = Invoke<std::enable_if<!isGridTensor<T>::value, int> >;
 
   // Traits to identify scalars
   template<typename T>     struct isGridScalar                : public std::false_type { static constexpr bool notvalue = true; };

Grid/threads/Accelerator.cc

@@ -7,6 +7,8 @@ uint32_t accelerator_threads=2;
 uint32_t acceleratorThreads(void)       {return accelerator_threads;};
 void     acceleratorThreads(uint32_t t) {accelerator_threads = t;};
 
+#define ENV_LOCAL_RANK_PALS    "PALS_LOCAL_RANKID"
+#define ENV_RANK_PALS          "PALS_RANKID"
 #define ENV_LOCAL_RANK_OMPI    "OMPI_COMM_WORLD_LOCAL_RANK"
 #define ENV_RANK_OMPI          "OMPI_COMM_WORLD_RANK"
 #define ENV_LOCAL_RANK_SLURM   "SLURM_LOCALID"
@@ -147,7 +149,7 @@ void acceleratorInit(void)
 #define GPU_PROP_FMT(canMapHostMemory,FMT)     printf("AcceleratorHipInit:   " #canMapHostMemory ": " FMT" \n",prop.canMapHostMemory);
 #define GPU_PROP(canMapHostMemory)             GPU_PROP_FMT(canMapHostMemory,"%d");
     
-    hipGetDeviceProperties(&gpu_props[i], i);
+    auto r=hipGetDeviceProperties(&gpu_props[i], i);
     hipDeviceProp_t prop; 
     prop = gpu_props[i];
     totalDeviceMem = prop.totalGlobalMem;
@@ -228,8 +230,17 @@ void acceleratorInit(void)
   {
     rank = atoi(localRankStr);		
   }
+  if ((localRankStr = getenv(ENV_LOCAL_RANK_PALS)) != NULL)
+  {
+    rank = atoi(localRankStr);		
+  }
   if ((localRankStr = getenv(ENV_RANK_OMPI   )) != NULL) { world_rank = atoi(localRankStr);}
   if ((localRankStr = getenv(ENV_RANK_MVAPICH)) != NULL) { world_rank = atoi(localRankStr);}
+  if ((localRankStr = getenv(ENV_RANK_PALS   )) != NULL) { world_rank = atoi(localRankStr);}
+
+  char hostname[HOST_NAME_MAX+1];
+  gethostname(hostname, HOST_NAME_MAX+1);
+  if ( rank==0 ) printf(" acceleratorInit world_rank %d is host %s \n",world_rank,hostname);
 
   auto devices = cl::sycl::device::get_devices();
   for(int d = 0;d<devices.size();d++){
@@ -241,6 +252,7 @@ void acceleratorInit(void)
     printf("AcceleratorSyclInit:   " #prop ": " FMT" \n",devices[d].get_info<cl::sycl::info::device::prop>());
 
 #define GPU_PROP(prop)             GPU_PROP_FMT(prop,"%ld");
+    if ( world_rank == 0) {
 
       GPU_PROP_STR(vendor);
       GPU_PROP_STR(version);
@@ -260,6 +272,7 @@ void acceleratorInit(void)
     */
     //    GPU_PROP(double_fp_config);
       GPU_PROP(global_mem_size);
+    }
 
   }
   if ( world_rank == 0 ) {

Grid/threads/Accelerator.h

@@ -225,6 +225,8 @@ inline void acceleratorFreeShared(void *ptr){ cudaFree(ptr);};
 inline void acceleratorFreeDevice(void *ptr){ cudaFree(ptr);};
 inline void acceleratorCopyToDevice(void *from,void *to,size_t bytes)  { cudaMemcpy(to,from,bytes, cudaMemcpyHostToDevice);}
 inline void acceleratorCopyFromDevice(void *from,void *to,size_t bytes){ cudaMemcpy(to,from,bytes, cudaMemcpyDeviceToHost);}
+inline void acceleratorCopyToDeviceAsync(void *from, void *to, size_t bytes, cudaStream_t stream = copyStream) { cudaMemcpyAsync(to,from,bytes, cudaMemcpyHostToDevice, stream);}
+inline void acceleratorCopyFromDeviceAsync(void *from, void *to, size_t bytes, cudaStream_t stream = copyStream) { cudaMemcpyAsync(to,from,bytes, cudaMemcpyDeviceToHost, stream);}
 inline void acceleratorMemSet(void *base,int value,size_t bytes) { cudaMemset(base,value,bytes);}
 inline void acceleratorCopyDeviceToDeviceAsynch(void *from,void *to,size_t bytes) // Asynch
 {
@@ -288,11 +290,12 @@ accelerator_inline int acceleratorSIMTlane(int Nsimd) {
 #define accelerator_for2dNB( iter1, num1, iter2, num2, nsimd, ... )	\
   theGridAccelerator->submit([&](cl::sycl::handler &cgh) {		\
     unsigned long nt=acceleratorThreads();				\
+    if(nt < 8)nt=8;							\
     unsigned long unum1 = num1;						\
     unsigned long unum2 = num2;						\
-      if(nt < 8)nt=8;							\
+    unsigned long unum1_divisible_by_nt = ((unum1 + nt - 1) / nt) * nt;	\
     cl::sycl::range<3> local {nt,1,nsimd};				\
-      cl::sycl::range<3> global{unum1,unum2,nsimd};			\
+    cl::sycl::range<3> global{unum1_divisible_by_nt,unum2,nsimd};	\
     cgh.parallel_for(							\
 		     cl::sycl::nd_range<3>(global,local),		\
 		     [=] (cl::sycl::nd_item<3> item) /*mutable*/	\
@@ -301,7 +304,7 @@ accelerator_inline int acceleratorSIMTlane(int Nsimd) {
 		       auto iter1    = item.get_global_id(0);		\
 		       auto iter2    = item.get_global_id(1);		\
 		       auto lane     = item.get_global_id(2);		\
-      { __VA_ARGS__ };				      \
+		       { if (iter1 < unum1){ __VA_ARGS__ } };		\
 		     });						\
   });
 
@@ -405,7 +408,7 @@ void LambdaApply(uint64_t numx, uint64_t numy, uint64_t numz, lambda Lambda)
 
 #define accelerator_barrier(dummy)				\
   {								\
-    hipStreamSynchronize(computeStream);			\
+    auto r=hipStreamSynchronize(computeStream);			\
     auto err = hipGetLastError();				\
     if ( err != hipSuccess ) {					\
       printf("After hipDeviceSynchronize() : HIP error %s \n", hipGetErrorString( err )); \
@@ -438,19 +441,21 @@ inline void *acceleratorAllocDevice(size_t bytes)
   return ptr;
 };
 
-inline void acceleratorFreeShared(void *ptr){ hipFree(ptr);};
+inline void acceleratorFreeShared(void *ptr){ auto r=hipFree(ptr);};
-inline void acceleratorFreeDevice(void *ptr){ hipFree(ptr);};
+inline void acceleratorFreeDevice(void *ptr){ auto r=hipFree(ptr);};
-inline void acceleratorCopyToDevice(void *from,void *to,size_t bytes)  { hipMemcpy(to,from,bytes, hipMemcpyHostToDevice);}
+inline void acceleratorCopyToDevice(void *from,void *to,size_t bytes)  { auto r=hipMemcpy(to,from,bytes, hipMemcpyHostToDevice);}
-inline void acceleratorCopyFromDevice(void *from,void *to,size_t bytes){ hipMemcpy(to,from,bytes, hipMemcpyDeviceToHost);}
+inline void acceleratorCopyFromDevice(void *from,void *to,size_t bytes){ auto r=hipMemcpy(to,from,bytes, hipMemcpyDeviceToHost);}
+inline void acceleratorCopyToDeviceAsync(void *from, void *to, size_t bytes, hipStream_t stream = copyStream) { auto r = hipMemcpyAsync(to,from,bytes, hipMemcpyHostToDevice, stream);}
+inline void acceleratorCopyFromDeviceAsync(void *from, void *to, size_t bytes, hipStream_t stream = copyStream) { auto r = hipMemcpyAsync(to,from,bytes, hipMemcpyDeviceToHost, stream);}
 //inline void acceleratorCopyDeviceToDeviceAsynch(void *from,void *to,size_t bytes)  { hipMemcpy(to,from,bytes, hipMemcpyDeviceToDevice);}
 //inline void acceleratorCopySynchronise(void) {  }
-inline void acceleratorMemSet(void *base,int value,size_t bytes) { hipMemset(base,value,bytes);}
+inline void acceleratorMemSet(void *base,int value,size_t bytes) { auto r=hipMemset(base,value,bytes);}
 
 inline void acceleratorCopyDeviceToDeviceAsynch(void *from,void *to,size_t bytes) // Asynch
 {
-  hipMemcpyDtoDAsync(to,from,bytes, copyStream);
+  auto r=hipMemcpyDtoDAsync(to,from,bytes, copyStream);
 }
-inline void acceleratorCopySynchronise(void) { hipStreamSynchronize(copyStream); };
+inline void acceleratorCopySynchronise(void) { auto r=hipStreamSynchronize(copyStream); };
 
 #endif
 
@@ -575,4 +580,11 @@ accelerator_inline void acceleratorFence(void)
   return;
 }
 
+inline void acceleratorCopyDeviceToDevice(void *from,void *to,size_t bytes)
+{
+  acceleratorCopyDeviceToDeviceAsynch(from,to,bytes);
+  acceleratorCopySynchronise();
+}
+
+
 NAMESPACE_END(Grid);

HMC/FTHMC2p1f.cc

@@ -54,15 +54,16 @@ int main(int argc, char **argv)
   //  MD.name    = std::string("Force Gradient");
   typedef GenericHMCRunner<MinimumNorm2> HMCWrapper;
   MD.name    = std::string("MinimumNorm2");
-  MD.MDsteps = 12;
+  MD.MDsteps = 24;
   MD.trajL   = 1.0;
 
   HMCparameters HMCparams;
-  HMCparams.StartTrajectory  = 0;
+  HMCparams.StartTrajectory  = 104;
   HMCparams.Trajectories     = 200;
   HMCparams.NoMetropolisUntil=  20;
   // "[HotStart, ColdStart, TepidStart, CheckpointStart]\n";
-  HMCparams.StartingType     =std::string("HotStart");
+  //  HMCparams.StartingType     =std::string("HotStart");
+  HMCparams.StartingType     =std::string("CheckpointStart");
   HMCparams.MD = MD;
   HMCWrapper TheHMC(HMCparams);
 
@@ -87,6 +88,7 @@ int main(int argc, char **argv)
   // here there is too much indirection
   typedef PlaquetteMod<HMCWrapper::ImplPolicy> PlaqObs;
   TheHMC.Resources.AddObservable<PlaqObs>();
+
   //////////////////////////////////////////////
 
   const int Ls      = 16;
@@ -134,7 +136,6 @@ int main(int argc, char **argv)
   ////////////////////////////////////
   ActionLevel<HMCWrapper::Field> Level1(1);
   ActionLevel<HMCWrapper::Field> Level2(2);
-  ActionLevel<HMCWrapper::Field> Level3(4);
 
   ////////////////////////////////////
   // Strange action
@@ -191,7 +192,7 @@ int main(int argc, char **argv)
   Smear_Stout<HMCWrapper::ImplPolicy> Stout(rho);
   SmearedConfigurationMasked<HMCWrapper::ImplPolicy> SmearingPolicy(GridPtr, Nstep, Stout);
   JacobianAction<HMCWrapper::ImplPolicy> Jacobian(&SmearingPolicy);
-  if( ApplySmearing ) Level2.push_back(&Jacobian);
+  if( ApplySmearing ) Level1.push_back(&Jacobian);
   std::cout << GridLogMessage << " Built the Jacobian "<< std::endl;
 
 
@@ -200,7 +201,7 @@ int main(int argc, char **argv)
   /////////////////////////////////////////////////////////////
   //  GaugeAction.is_smeared = ApplySmearing;
   GaugeAction.is_smeared = true;
-  Level3.push_back(&GaugeAction);
+  Level2.push_back(&GaugeAction);
 
   std::cout << GridLogMessage << " ************************************************"<< std::endl;
   std::cout << GridLogMessage << " Action complete -- NO FERMIONS FOR NOW -- FIXME"<< std::endl;
@@ -210,10 +211,11 @@ int main(int argc, char **argv)
 
 
   std::cout << GridLogMessage << " Running the FT HMC "<< std::endl;
-
   TheHMC.TheAction.push_back(Level1);
   TheHMC.TheAction.push_back(Level2);
-  TheHMC.TheAction.push_back(Level3);
+
+  TheHMC.ReadCommandLine(argc,argv);  // params on CML or from param file
+  TheHMC.initializeGaugeFieldAndRNGs(U);
 
   TheHMC.Run(SmearingPolicy); // for smearing
 

HMC/FTHMC2p1f_3GeV.cc

@@ -0,0 +1,226 @@
+/*************************************************************************************
+
+Grid physics library, www.github.com/paboyle/Grid
+
+Copyright (C) 2023
+
+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 */
+#include <Grid/Grid.h>
+#include <Grid/qcd/smearing/GaugeConfigurationMasked.h>
+#include <Grid/qcd/smearing/JacobianAction.h>
+
+using namespace Grid;
+
+int main(int argc, char **argv)
+{
+  std::cout << std::setprecision(12);
+  
+  Grid_init(&argc, &argv);
+  int threads = GridThread::GetThreads();
+  // here make a routine to print all the relevant information on the run
+  std::cout << GridLogMessage << "Grid is setup to use " << threads << " threads" << std::endl;
+
+   // Typedefs to simplify notation
+  typedef WilsonImplR FermionImplPolicy;
+  typedef MobiusFermionD FermionAction;
+  typedef typename FermionAction::FermionField FermionField;
+
+  typedef Grid::XmlReader       Serialiser;
+
+  //::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
+  IntegratorParameters MD;
+  //  typedef GenericHMCRunner<LeapFrog> HMCWrapper;
+  //  MD.name    = std::string("Leap Frog");
+  //  typedef GenericHMCRunner<ForceGradient> HMCWrapper;
+  //  MD.name    = std::string("Force Gradient");
+  typedef GenericHMCRunner<MinimumNorm2> HMCWrapper;
+  MD.name    = std::string("MinimumNorm2");
+  MD.MDsteps = 24;
+  MD.trajL   = 1.0;
+
+  HMCparameters HMCparams;
+  HMCparams.StartTrajectory  = 0;
+  HMCparams.Trajectories     = 200;
+  HMCparams.NoMetropolisUntil=  20;
+  // "[HotStart, ColdStart, TepidStart, CheckpointStart]\n";
+  //  HMCparams.StartingType     =std::string("HotStart");
+  HMCparams.StartingType     =std::string("ColdStart");
+  //  HMCparams.StartingType     =std::string("CheckpointStart");
+  HMCparams.MD = MD;
+  HMCWrapper TheHMC(HMCparams);
+
+  // Grid from the command line arguments --grid and --mpi
+  TheHMC.Resources.AddFourDimGrid("gauge"); // use default simd lanes decomposition
+
+  CheckpointerParameters CPparams;
+  CPparams.config_prefix = "ckpoint_EODWF_lat";
+  CPparams.smeared_prefix = "ckpoint_EODWF_lat_smr";
+  CPparams.rng_prefix    = "ckpoint_EODWF_rng";
+  CPparams.saveInterval  = 1;
+  CPparams.saveSmeared   = true;
+  CPparams.format        = "IEEE64BIG";
+  TheHMC.Resources.LoadNerscCheckpointer(CPparams);
+
+  RNGModuleParameters RNGpar;
+  RNGpar.serial_seeds = "1 2 3 4 5";
+  RNGpar.parallel_seeds = "6 7 8 9 10";
+  TheHMC.Resources.SetRNGSeeds(RNGpar);
+
+  // Construct observables
+  // here there is too much indirection
+  typedef PlaquetteMod<HMCWrapper::ImplPolicy> PlaqObs;
+  TheHMC.Resources.AddObservable<PlaqObs>();
+
+  //////////////////////////////////////////////
+
+  const int Ls      = 12;
+  Real beta         = 2.37;
+  Real light_mass   = 0.0047;
+  Real strange_mass = 0.0186;
+  Real pv_mass      = 1.0;
+  RealD M5  = 1.8;
+  RealD b   = 1.0; // Scale factor one, Shamir
+  RealD c   = 0.0;
+
+  OneFlavourRationalParams OFRp;
+  OFRp.lo       = 1.0e-2;
+  OFRp.hi       = 64;
+  OFRp.MaxIter  = 10000;
+  OFRp.tolerance= 1.0e-10;
+  OFRp.degree   = 14;
+  OFRp.precision= 40;
+
+  std::vector<Real> hasenbusch({ 0.05, 0.1, 0.25, 0.5 });
+
+  auto GridPtr   = TheHMC.Resources.GetCartesian();
+  auto GridRBPtr = TheHMC.Resources.GetRBCartesian();
+  auto FGrid     = SpaceTimeGrid::makeFiveDimGrid(Ls,GridPtr);
+  auto FrbGrid   = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,GridPtr);
+
+  IwasakiGaugeActionR GaugeAction(beta);
+
+  // temporarily need a gauge field
+  LatticeGaugeField U(GridPtr);
+  LatticeGaugeField Uhot(GridPtr);
+
+  // These lines are unecessary if BC are all periodic
+  std::vector<Complex> boundary = {1,1,1,-1};
+  FermionAction::ImplParams Params(boundary);
+
+  double StoppingCondition = 1e-10;
+  double MaxCGIterations = 30000;
+  ConjugateGradient<FermionField>  CG(StoppingCondition,MaxCGIterations);
+
+  bool ApplySmearing = true;
+  
+  ////////////////////////////////////
+  // Collect actions
+  ////////////////////////////////////
+  ActionLevel<HMCWrapper::Field> Level1(1);
+  ActionLevel<HMCWrapper::Field> Level2(2);
+
+  ////////////////////////////////////
+  // Strange action
+  ////////////////////////////////////
+
+  MobiusEOFAFermionD Strange_Op_L (U , *FGrid , *FrbGrid , *GridPtr , *GridRBPtr , strange_mass, strange_mass, pv_mass, 0.0, -1, M5, b, c);
+  MobiusEOFAFermionD Strange_Op_R (U , *FGrid , *FrbGrid , *GridPtr , *GridRBPtr , pv_mass, strange_mass,      pv_mass, -1.0, 1, M5, b, c);
+  ExactOneFlavourRatioPseudoFermionAction<FermionImplPolicy> 
+    EOFA(Strange_Op_L, Strange_Op_R, 
+	 CG,
+	 CG, CG,
+	 CG, CG, 
+	 OFRp, false);
+
+  EOFA.is_smeared = ApplySmearing;
+  Level1.push_back(&EOFA);
+
+  ////////////////////////////////////
+  // up down action
+  ////////////////////////////////////
+  std::vector<Real> light_den;
+  std::vector<Real> light_num;
+
+  int n_hasenbusch = hasenbusch.size();
+  light_den.push_back(light_mass);
+  for(int h=0;h<n_hasenbusch;h++){
+    light_den.push_back(hasenbusch[h]);
+    light_num.push_back(hasenbusch[h]);
+  }
+  light_num.push_back(pv_mass);
+
+  std::vector<FermionAction *> Numerators;
+  std::vector<FermionAction *> Denominators;
+  std::vector<TwoFlavourEvenOddRatioPseudoFermionAction<FermionImplPolicy> *> Quotients;
+
+  for(int h=0;h<n_hasenbusch+1;h++){
+    std::cout << GridLogMessage << " 2f quotient Action  "<< light_num[h] << " / " << light_den[h]<< std::endl;
+    Numerators.push_back  (new FermionAction(U,*FGrid,*FrbGrid,*GridPtr,*GridRBPtr,light_num[h],M5,b,c, Params));
+    Denominators.push_back(new FermionAction(U,*FGrid,*FrbGrid,*GridPtr,*GridRBPtr,light_den[h],M5,b,c, Params));
+    Quotients.push_back   (new TwoFlavourEvenOddRatioPseudoFermionAction<FermionImplPolicy>(*Numerators[h],*Denominators[h],CG,CG));
+  }
+
+  for(int h=0;h<n_hasenbusch+1;h++){
+    Quotients[h]->is_smeared = ApplySmearing;
+    Level1.push_back(Quotients[h]);
+  }
+
+  /////////////////////////////////////////////////////////////
+  // lnDetJacobianAction
+  /////////////////////////////////////////////////////////////
+  double rho = 0.1;  // smearing parameter
+  int Nsmear = 1;    // number of smearing levels - must be multiple of 2Nd
+  int Nstep  = 8*Nsmear;    // number of smearing levels - must be multiple of 2Nd
+  Smear_Stout<HMCWrapper::ImplPolicy> Stout(rho);
+  SmearedConfigurationMasked<HMCWrapper::ImplPolicy> SmearingPolicy(GridPtr, Nstep, Stout);
+  JacobianAction<HMCWrapper::ImplPolicy> Jacobian(&SmearingPolicy);
+  if( ApplySmearing ) Level1.push_back(&Jacobian);
+  std::cout << GridLogMessage << " Built the Jacobian "<< std::endl;
+
+
+  /////////////////////////////////////////////////////////////
+  // Gauge action
+  /////////////////////////////////////////////////////////////
+  GaugeAction.is_smeared = ApplySmearing;
+  Level2.push_back(&GaugeAction);
+
+  std::cout << GridLogMessage << " ************************************************"<< std::endl;
+  std::cout << GridLogMessage << " Action complete -- NO FERMIONS FOR NOW -- FIXME"<< std::endl;
+  std::cout << GridLogMessage << " ************************************************"<< std::endl;
+  std::cout << GridLogMessage <<  std::endl;
+  std::cout << GridLogMessage <<  std::endl;
+
+
+  std::cout << GridLogMessage << " Running the FT HMC "<< std::endl;
+  TheHMC.TheAction.push_back(Level1);
+  TheHMC.TheAction.push_back(Level2);
+
+  TheHMC.ReadCommandLine(argc,argv);  // params on CML or from param file
+  TheHMC.initializeGaugeFieldAndRNGs(U);
+
+  TheHMC.Run(SmearingPolicy); // for smearing
+
+  Grid_finalize();
+} // main
+
+
+

HMC/HMC2p1f_3GeV.cc

@@ -0,0 +1,226 @@
+/*************************************************************************************
+
+Grid physics library, www.github.com/paboyle/Grid
+
+Copyright (C) 2023
+
+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 */
+#include <Grid/Grid.h>
+#include <Grid/qcd/smearing/GaugeConfigurationMasked.h>
+#include <Grid/qcd/smearing/JacobianAction.h>
+
+using namespace Grid;
+
+int main(int argc, char **argv)
+{
+  std::cout << std::setprecision(12);
+  
+  Grid_init(&argc, &argv);
+  int threads = GridThread::GetThreads();
+  // here make a routine to print all the relevant information on the run
+  std::cout << GridLogMessage << "Grid is setup to use " << threads << " threads" << std::endl;
+
+   // Typedefs to simplify notation
+  typedef WilsonImplR FermionImplPolicy;
+  typedef MobiusFermionD FermionAction;
+  typedef typename FermionAction::FermionField FermionField;
+
+  typedef Grid::XmlReader       Serialiser;
+
+  //::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
+  IntegratorParameters MD;
+  //  typedef GenericHMCRunner<LeapFrog> HMCWrapper;
+  //  MD.name    = std::string("Leap Frog");
+  //  typedef GenericHMCRunner<ForceGradient> HMCWrapper;
+  //  MD.name    = std::string("Force Gradient");
+  typedef GenericHMCRunner<MinimumNorm2> HMCWrapper;
+  MD.name    = std::string("MinimumNorm2");
+  MD.MDsteps = 24;
+  MD.trajL   = 1.0;
+
+  HMCparameters HMCparams;
+  HMCparams.StartTrajectory  = 0;
+  HMCparams.Trajectories     = 200;
+  HMCparams.NoMetropolisUntil=  20;
+  // "[HotStart, ColdStart, TepidStart, CheckpointStart]\n";
+  //  HMCparams.StartingType     =std::string("HotStart");
+  HMCparams.StartingType     =std::string("ColdStart");
+  //  HMCparams.StartingType     =std::string("CheckpointStart");
+  HMCparams.MD = MD;
+  HMCWrapper TheHMC(HMCparams);
+
+  // Grid from the command line arguments --grid and --mpi
+  TheHMC.Resources.AddFourDimGrid("gauge"); // use default simd lanes decomposition
+
+  CheckpointerParameters CPparams;
+  CPparams.config_prefix = "ckpoint_EODWF_lat";
+  CPparams.smeared_prefix = "ckpoint_EODWF_lat_smr";
+  CPparams.rng_prefix    = "ckpoint_EODWF_rng";
+  CPparams.saveInterval  = 1;
+  CPparams.saveSmeared   = true;
+  CPparams.format        = "IEEE64BIG";
+  TheHMC.Resources.LoadNerscCheckpointer(CPparams);
+
+  RNGModuleParameters RNGpar;
+  RNGpar.serial_seeds = "1 2 3 4 5";
+  RNGpar.parallel_seeds = "6 7 8 9 10";
+  TheHMC.Resources.SetRNGSeeds(RNGpar);
+
+  // Construct observables
+  // here there is too much indirection
+  typedef PlaquetteMod<HMCWrapper::ImplPolicy> PlaqObs;
+  TheHMC.Resources.AddObservable<PlaqObs>();
+
+  //////////////////////////////////////////////
+
+  const int Ls      = 12;
+  Real beta         = 2.37;
+  Real light_mass   = 0.0047;
+  Real strange_mass = 0.0186;
+  Real pv_mass      = 1.0;
+  RealD M5  = 1.8;
+  RealD b   = 1.0; // Scale factor one, Shamir
+  RealD c   = 0.0;
+
+  OneFlavourRationalParams OFRp;
+  OFRp.lo       = 1.0e-2;
+  OFRp.hi       = 64;
+  OFRp.MaxIter  = 10000;
+  OFRp.tolerance= 1.0e-10;
+  OFRp.degree   = 14;
+  OFRp.precision= 40;
+
+  std::vector<Real> hasenbusch({ 0.05, 0.1, 0.25, 0.5 });
+
+  auto GridPtr   = TheHMC.Resources.GetCartesian();
+  auto GridRBPtr = TheHMC.Resources.GetRBCartesian();
+  auto FGrid     = SpaceTimeGrid::makeFiveDimGrid(Ls,GridPtr);
+  auto FrbGrid   = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,GridPtr);
+
+  IwasakiGaugeActionR GaugeAction(beta);
+
+  // temporarily need a gauge field
+  LatticeGaugeField U(GridPtr);
+  LatticeGaugeField Uhot(GridPtr);
+
+  // These lines are unecessary if BC are all periodic
+  std::vector<Complex> boundary = {1,1,1,-1};
+  FermionAction::ImplParams Params(boundary);
+
+  double StoppingCondition = 1e-10;
+  double MaxCGIterations = 30000;
+  ConjugateGradient<FermionField>  CG(StoppingCondition,MaxCGIterations);
+
+  bool ApplySmearing = false;
+  
+  ////////////////////////////////////
+  // Collect actions
+  ////////////////////////////////////
+  ActionLevel<HMCWrapper::Field> Level1(1);
+  ActionLevel<HMCWrapper::Field> Level2(2);
+
+  ////////////////////////////////////
+  // Strange action
+  ////////////////////////////////////
+
+  MobiusEOFAFermionD Strange_Op_L (U , *FGrid , *FrbGrid , *GridPtr , *GridRBPtr , strange_mass, strange_mass, pv_mass, 0.0, -1, M5, b, c);
+  MobiusEOFAFermionD Strange_Op_R (U , *FGrid , *FrbGrid , *GridPtr , *GridRBPtr , pv_mass, strange_mass,      pv_mass, -1.0, 1, M5, b, c);
+  ExactOneFlavourRatioPseudoFermionAction<FermionImplPolicy> 
+    EOFA(Strange_Op_L, Strange_Op_R, 
+	 CG,
+	 CG, CG,
+	 CG, CG, 
+	 OFRp, false);
+
+  EOFA.is_smeared = ApplySmearing;
+  Level1.push_back(&EOFA);
+
+  ////////////////////////////////////
+  // up down action
+  ////////////////////////////////////
+  std::vector<Real> light_den;
+  std::vector<Real> light_num;
+
+  int n_hasenbusch = hasenbusch.size();
+  light_den.push_back(light_mass);
+  for(int h=0;h<n_hasenbusch;h++){
+    light_den.push_back(hasenbusch[h]);
+    light_num.push_back(hasenbusch[h]);
+  }
+  light_num.push_back(pv_mass);
+
+  std::vector<FermionAction *> Numerators;
+  std::vector<FermionAction *> Denominators;
+  std::vector<TwoFlavourEvenOddRatioPseudoFermionAction<FermionImplPolicy> *> Quotients;
+
+  for(int h=0;h<n_hasenbusch+1;h++){
+    std::cout << GridLogMessage << " 2f quotient Action  "<< light_num[h] << " / " << light_den[h]<< std::endl;
+    Numerators.push_back  (new FermionAction(U,*FGrid,*FrbGrid,*GridPtr,*GridRBPtr,light_num[h],M5,b,c, Params));
+    Denominators.push_back(new FermionAction(U,*FGrid,*FrbGrid,*GridPtr,*GridRBPtr,light_den[h],M5,b,c, Params));
+    Quotients.push_back   (new TwoFlavourEvenOddRatioPseudoFermionAction<FermionImplPolicy>(*Numerators[h],*Denominators[h],CG,CG));
+  }
+
+  for(int h=0;h<n_hasenbusch+1;h++){
+    Quotients[h]->is_smeared = ApplySmearing;
+    Level1.push_back(Quotients[h]);
+  }
+
+  /////////////////////////////////////////////////////////////
+  // lnDetJacobianAction
+  /////////////////////////////////////////////////////////////
+  double rho = 0.1;  // smearing parameter
+  int Nsmear = 1;    // number of smearing levels - must be multiple of 2Nd
+  int Nstep  = 8*Nsmear;    // number of smearing levels - must be multiple of 2Nd
+  Smear_Stout<HMCWrapper::ImplPolicy> Stout(rho);
+  SmearedConfigurationMasked<HMCWrapper::ImplPolicy> SmearingPolicy(GridPtr, Nstep, Stout);
+  JacobianAction<HMCWrapper::ImplPolicy> Jacobian(&SmearingPolicy);
+  if( ApplySmearing ) Level1.push_back(&Jacobian);
+  std::cout << GridLogMessage << " Built the Jacobian "<< std::endl;
+
+
+  /////////////////////////////////////////////////////////////
+  // Gauge action
+  /////////////////////////////////////////////////////////////
+  GaugeAction.is_smeared = ApplySmearing;
+  Level2.push_back(&GaugeAction);
+
+  std::cout << GridLogMessage << " ************************************************"<< std::endl;
+  std::cout << GridLogMessage << " Action complete -- NO FERMIONS FOR NOW -- FIXME"<< std::endl;
+  std::cout << GridLogMessage << " ************************************************"<< std::endl;
+  std::cout << GridLogMessage <<  std::endl;
+  std::cout << GridLogMessage <<  std::endl;
+
+
+  std::cout << GridLogMessage << " Running the FT HMC "<< std::endl;
+  TheHMC.TheAction.push_back(Level1);
+  TheHMC.TheAction.push_back(Level2);
+
+  TheHMC.ReadCommandLine(argc,argv);  // params on CML or from param file
+  TheHMC.initializeGaugeFieldAndRNGs(U);
+
+  TheHMC.Run(SmearingPolicy); // for smearing
+
+  Grid_finalize();
+} // main
+
+
+

HMC/Mobius2p1f_DD_EOFA_96I_double.cc

@@ -0,0 +1,350 @@
+/*************************************************************************************
+
+Grid physics library, www.github.com/paboyle/Grid
+
+Source file: ./tests/Test_hmc_EODWFRatio.cc
+
+Copyright (C) 2015-2016
+
+Author: Peter Boyle <pabobyle@ph.ed.ac.uk>
+Author: Guido Cossu <guido.cossu@ed.ac.uk>
+
+This program is free software; you can redistribute it and/or modify
+it under the terms of the GNU General Public License as published by
+the Free Software Foundation; either version 2 of the License, or
+(at your option) any later version.
+
+This program is distributed in the hope that it will be useful,
+but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+GNU General Public License for more details.
+
+You should have received a copy of the GNU General Public License along
+with this program; if not, write to the Free Software Foundation, Inc.,
+51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
+
+See the full license in the file "LICENSE" in the top level distribution
+directory
+*************************************************************************************/
+/*  END LEGAL */
+#include <Grid/Grid.h>
+
+int main(int argc, char **argv) {
+  using namespace Grid;
+
+  Grid_init(&argc, &argv);
+
+  CartesianCommunicator::BarrierWorld();
+  std::cout << GridLogMessage << " Clock skew check" <<std::endl;
+  
+  int threads = GridThread::GetThreads();
+
+   // Typedefs to simplify notation
+  typedef WilsonImplD FermionImplPolicy;
+  typedef MobiusFermionD FermionAction;
+  typedef MobiusEOFAFermionD FermionEOFAAction;
+  typedef typename FermionAction::FermionField FermionField;
+
+  typedef Grid::XmlReader       Serialiser;
+
+  //::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
+  IntegratorParameters MD;
+  //  typedef GenericHMCRunner<LeapFrog> HMCWrapper;
+  //  MD.name    = std::string("Leap Frog");
+  typedef GenericHMCRunner<ForceGradient> HMCWrapper;
+  MD.name    = std::string("Force Gradient");
+  //typedef GenericHMCRunner<MinimumNorm2> HMCWrapper;
+  // MD.name    = std::string("MinimumNorm2");
+  // TrajL = 2
+  // 4/2 => 0.6 dH
+  // 3/3 => 0.8 dH .. depth 3, slower
+  //MD.MDsteps =  4;
+  MD.MDsteps =  3;
+  MD.trajL   = 0.5;
+
+  HMCparameters HMCparams;
+  HMCparams.StartTrajectory  = 1077;
+  HMCparams.Trajectories     = 1;
+  HMCparams.NoMetropolisUntil=  0;
+  // "[HotStart, ColdStart, TepidStart, CheckpointStart]\n";
+  //  HMCparams.StartingType     =std::string("ColdStart");
+  HMCparams.StartingType     =std::string("CheckpointStart");
+  HMCparams.MD = MD;
+  HMCWrapper TheHMC(HMCparams);
+
+  // Grid from the command line arguments --grid and --mpi
+  TheHMC.Resources.AddFourDimGrid("gauge"); // use default simd lanes decomposition
+
+  CheckpointerParameters CPparams;
+  CPparams.config_prefix = "ckpoint_DDHMC_lat";
+  CPparams.rng_prefix    = "ckpoint_DDHMC_rng";
+  CPparams.saveInterval  = 1;
+  CPparams.format        = "IEEE64BIG";
+  TheHMC.Resources.LoadNerscCheckpointer(CPparams);
+  std::cout << "loaded NERSC checpointer"<<std::endl;
+  RNGModuleParameters RNGpar;
+  RNGpar.serial_seeds = "1 2 3 4 5";
+  RNGpar.parallel_seeds = "6 7 8 9 10";
+  TheHMC.Resources.SetRNGSeeds(RNGpar);
+
+  // Construct observables
+  // here there is too much indirection
+  typedef PlaquetteMod<HMCWrapper::ImplPolicy> PlaqObs;
+  TheHMC.Resources.AddObservable<PlaqObs>();
+  //////////////////////////////////////////////
+
+  const int Ls      = 12;
+  RealD M5  = 1.8;
+  RealD b   = 1.5;
+  RealD c   = 0.5;
+  Real beta         = 2.13;
+  //  Real light_mass   = 5.4e-4;
+  Real light_mass     = 7.8e-4;
+  Real light_mass_dir = 0.01;
+  Real strange_mass = 0.0362;
+  Real pv_mass      = 1.0;
+  std::vector<Real> hasenbusch({ 0.01, 0.045, 0.108, 0.25, 0.51 , pv_mass });
+  //  std::vector<Real> hasenbusch({ light_mass, 0.01, 0.045, 0.108, 0.25, 0.51 , pv_mass });
+  //  std::vector<Real> hasenbusch({ light_mass, 0.005, 0.0145, 0.045, 0.108, 0.25, 0.51 , pv_mass }); // Updated
+  //  std::vector<Real> hasenbusch({ light_mass, 0.0145, 0.045, 0.108, 0.25, 0.51 , 0.75 , pv_mass });
+
+  int SP_iters=9000;
+  
+  RationalActionParams OFRp; // Up/down
+  OFRp.lo       = 6.0e-5;
+  OFRp.hi       = 90.0;
+  OFRp.inv_pow  = 2;
+  OFRp.MaxIter  = SP_iters; // get most shifts by 2000, stop sharing space
+  OFRp.action_tolerance= 1.0e-8;
+  OFRp.action_degree   = 18;
+  OFRp.md_tolerance= 1.0e-7;
+  OFRp.md_degree   = 14;
+  //  OFRp.degree   = 20; converges
+  //  OFRp.degree   = 16;
+  OFRp.precision= 80;
+  OFRp.BoundsCheckFreq=0;
+  std::vector<RealD> ActionTolByPole({
+      //      1.0e-8,1.0e-8,1.0e-8,1.0e-8,
+      3.0e-7,1.0e-7,1.0e-8,1.0e-8,
+      1.0e-8,1.0e-8,1.0e-8,1.0e-8,
+      1.0e-8,1.0e-8,1.0e-8,1.0e-8,
+      1.0e-8,1.0e-8,1.0e-8,1.0e-8,
+      1.0e-8,1.0e-8
+    });
+  std::vector<RealD> MDTolByPole({
+      //      1.6e-5,5.0e-6,1.0e-6,3.0e-7, // soften convergence more more
+      //      1.0e-6,3.0e-7,1.0e-7,1.0e-7,
+      1.0e-5,1.0e-6,1.0e-7,1.0e-7, // soften convergence
+      1.0e-8,1.0e-8,1.0e-8,1.0e-8,
+      1.0e-8,1.0e-8,1.0e-8,1.0e-8,
+      1.0e-8,1.0e-8
+    });
+
+  auto GridPtr   = TheHMC.Resources.GetCartesian();
+  auto GridRBPtr = TheHMC.Resources.GetRBCartesian();
+
+  typedef SchurDiagMooeeOperator<FermionAction ,FermionField > LinearOperatorD;
+  typedef SchurDiagMooeeOperator<FermionEOFAAction ,FermionField > LinearOperatorEOFAD;
+
+  ////////////////////////////////////////////////////////////////
+  // Domain decomposed
+  ////////////////////////////////////////////////////////////////
+  Coordinate latt4  = GridPtr->GlobalDimensions();
+  Coordinate mpi    = GridPtr->ProcessorGrid();
+  Coordinate shm;
+
+  GlobalSharedMemory::GetShmDims(mpi,shm);
+  
+  Coordinate CommDim(Nd);
+  for(int d=0;d<Nd;d++) CommDim[d]= (mpi[d]/shm[d])>1 ? 1 : 0;
+
+  Coordinate NonDirichlet(Nd+1,0);
+  Coordinate Dirichlet(Nd+1,0);
+  Dirichlet[1] = CommDim[0]*latt4[0]/mpi[0] * shm[0];
+  Dirichlet[2] = CommDim[1]*latt4[1]/mpi[1] * shm[1];
+  Dirichlet[3] = CommDim[2]*latt4[2]/mpi[2] * shm[2];
+  Dirichlet[4] = CommDim[3]*latt4[3]/mpi[3] * shm[3];
+  //Dirichlet[1] = 0;
+  //Dirichlet[2] = 0;
+  //Dirichlet[3] = 0;
+
+  // 
+  Coordinate Block4(Nd);
+  Block4[0] = Dirichlet[1];
+  Block4[1] = Dirichlet[2];
+  Block4[2] = Dirichlet[3];
+  Block4[3] = Dirichlet[4];
+
+  int Width=4;
+  TheHMC.Resources.SetMomentumFilter(new DDHMCFilter<WilsonImplD::Field>(Block4,Width));
+
+  //////////////////////////
+  // Fermion Grids
+  //////////////////////////
+  auto FGrid     = SpaceTimeGrid::makeFiveDimGrid(Ls,GridPtr);
+  auto FrbGrid   = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,GridPtr);
+
+  IwasakiGaugeActionR GaugeAction(beta);
+
+  // temporarily need a gauge field
+  LatticeGaugeFieldD  U(GridPtr); U=Zero();
+
+  std::cout << GridLogMessage << " Running the HMC "<< std::endl;
+  TheHMC.ReadCommandLine(argc,argv);  // params on CML or from param file
+  TheHMC.initializeGaugeFieldAndRNGs(U);
+  std::cout << "loaded NERSC gauge field"<<std::endl;
+
+  // These lines are unecessary if BC are all periodic
+  std::vector<Complex> boundary = {1,1,1,-1};
+  FermionAction::ImplParams Params(boundary);
+  FermionAction::ImplParams ParamsDir(boundary);
+
+  Params.dirichlet=NonDirichlet;
+  ParamsDir.dirichlet=Dirichlet;
+  ParamsDir.partialDirichlet=0;
+  std::cout << GridLogMessage<< "Partial Dirichlet depth is "<<dwf_compressor_depth<<std::endl;
+
+  //  double StoppingCondition = 1e-14;
+  //  double MDStoppingCondition = 1e-9;
+  double StoppingCondition = 1e-8;
+  double MDStoppingCondition = 1e-8;
+  double MDStoppingConditionLoose = 1e-8;
+  double MDStoppingConditionStrange = 1e-8;
+  double MaxCGIterations = 300000;
+  ConjugateGradient<FermionField>  CG(StoppingCondition,MaxCGIterations);
+  ConjugateGradient<FermionField>  MDCG(MDStoppingCondition,MaxCGIterations);
+
+  ////////////////////////////////////
+  // Collect actions
+  ////////////////////////////////////
+  ActionLevel<HMCWrapper::Field> Level1(1);
+  ActionLevel<HMCWrapper::Field> Level2(3);
+  ActionLevel<HMCWrapper::Field> Level3(15);
+
+  ////////////////////////////////////
+  // Strange action
+  ////////////////////////////////////
+  FermionAction StrangeOp (U,*FGrid,*FrbGrid,*GridPtr,*GridRBPtr,strange_mass,M5,b,c, Params);
+  FermionAction StrangePauliVillarsOp(U,*FGrid,*FrbGrid,*GridPtr,*GridRBPtr,pv_mass,  M5,b,c, Params);
+
+  // Probably dominates the force - back to EOFA.
+  OneFlavourRationalParams SFRp;
+  SFRp.lo       = 0.1;
+  SFRp.hi       = 25.0;
+  SFRp.MaxIter  = 10000;
+  SFRp.tolerance= 1.0e-8;
+  SFRp.mdtolerance= 2.0e-6;
+  SFRp.degree   = 12;
+  SFRp.precision= 50;
+  
+  MobiusEOFAFermionD Strange_Op_L (U , *FGrid , *FrbGrid , *GridPtr , *GridRBPtr , strange_mass, strange_mass, pv_mass, 0.0, -1, M5, b, c);
+  MobiusEOFAFermionD Strange_Op_R (U , *FGrid , *FrbGrid , *GridPtr , *GridRBPtr , pv_mass, strange_mass,      pv_mass, -1.0, 1, M5, b, c);
+  ConjugateGradient<FermionField>      ActionCG(StoppingCondition,MaxCGIterations);
+  ConjugateGradient<FermionField>  DerivativeCG(MDStoppingCondition,MaxCGIterations);
+  LinearOperatorEOFAD Strange_LinOp_L (Strange_Op_L);
+  LinearOperatorEOFAD Strange_LinOp_R (Strange_Op_R);
+
+  ExactOneFlavourRatioPseudoFermionAction<FermionImplPolicy> 
+    EOFA(Strange_Op_L, Strange_Op_R, 
+	 ActionCG, 
+	 ActionCG, ActionCG,
+	 DerivativeCG, DerivativeCG,
+	 SFRp, true);
+  Level2.push_back(&EOFA);
+
+  ////////////////////////////////////
+  // up down action
+  ////////////////////////////////////
+  std::vector<Real> light_den;
+  std::vector<Real> light_num;
+  std::vector<int> dirichlet_den;
+  std::vector<int> dirichlet_num;
+
+  int n_hasenbusch = hasenbusch.size();
+  light_den.push_back(light_mass);  dirichlet_den.push_back(0);
+  for(int h=0;h<n_hasenbusch;h++){
+    light_den.push_back(hasenbusch[h]); dirichlet_den.push_back(1);
+  }
+
+  for(int h=0;h<n_hasenbusch;h++){
+    light_num.push_back(hasenbusch[h]); dirichlet_num.push_back(1);
+  }
+  light_num.push_back(pv_mass);  dirichlet_num.push_back(0);
+
+  std::vector<FermionAction *> Numerators;
+  std::vector<FermionAction *> Denominators;
+  std::vector<TwoFlavourEvenOddRatioPseudoFermionAction<FermionImplPolicy> *> Quotients;
+  
+  std::vector<GeneralEvenOddRatioRationalPseudoFermionAction<FermionImplPolicy> *> Bdys;
+
+  typedef SchurDiagMooeeOperator<FermionAction ,FermionField > LinearOperatorD;
+  std::vector<LinearOperatorD *> LinOpD;
+  
+  for(int h=0;h<n_hasenbusch+1;h++){
+    std::cout << GridLogMessage
+	      << " 2f quotient Action ";
+    std::cout << "det D("<<light_den[h]<<")";
+    if ( dirichlet_den[h] ) std::cout << "^dirichlet    ";
+    std::cout << "/ det D("<<light_num[h]<<")";
+    if ( dirichlet_num[h] ) std::cout << "^dirichlet    ";
+    std::cout << std::endl;
+
+    FermionAction::ImplParams ParamsNum(boundary);
+    FermionAction::ImplParams ParamsDen(boundary);
+    
+    if ( dirichlet_num[h]==1) ParamsNum.dirichlet = Dirichlet;
+    else                      ParamsNum.dirichlet = NonDirichlet;
+
+    if ( dirichlet_den[h]==1) ParamsDen.dirichlet = Dirichlet;
+    else                      ParamsDen.dirichlet = NonDirichlet;
+
+    if ( dirichlet_num[h]==1) ParamsNum.partialDirichlet = 1;
+    else                      ParamsNum.partialDirichlet = 0;
+
+    if ( dirichlet_den[h]==1) ParamsDen.partialDirichlet = 1;
+    else                      ParamsDen.partialDirichlet = 0;
+    
+    Numerators.push_back  (new FermionAction(U,*FGrid,*FrbGrid,*GridPtr,*GridRBPtr,light_num[h],M5,b,c, ParamsNum));
+    Denominators.push_back(new FermionAction(U,*FGrid,*FrbGrid,*GridPtr,*GridRBPtr,light_den[h],M5,b,c, ParamsDen));
+
+    LinOpD.push_back(new LinearOperatorD(*Denominators[h]));
+
+    double conv  = MDStoppingCondition;
+    if (h<3) conv= MDStoppingConditionLoose; // Relax on first two hasenbusch factors
+    
+    if(h!=0) {
+      Quotients.push_back (new TwoFlavourEvenOddRatioPseudoFermionAction<FermionImplPolicy>(*Numerators[h],*Denominators[h],MDCG,CG));
+    } else {
+      Bdys.push_back( new GeneralEvenOddRatioRationalPseudoFermionAction<FermionImplPolicy>(*Numerators[h],*Denominators[h],OFRp));
+      Bdys.push_back( new GeneralEvenOddRatioRationalPseudoFermionAction<FermionImplPolicy>(*Numerators[h],*Denominators[h],OFRp));
+    }
+  }
+  for(int h=0;h<Bdys.size();h++){
+    Bdys[h]->SetTolerances(ActionTolByPole,MDTolByPole);
+  }
+  int nquo=Quotients.size();
+  Level1.push_back(Bdys[0]);
+  Level1.push_back(Bdys[1]);
+  Level2.push_back(Quotients[0]);
+  for(int h=1;h<nquo-1;h++){
+    Level2.push_back(Quotients[h]);
+  }
+  Level2.push_back(Quotients[nquo-1]);
+
+  /////////////////////////////////////////////////////////////
+  // Gauge action
+  /////////////////////////////////////////////////////////////
+  Level3.push_back(&GaugeAction);
+  TheHMC.TheAction.push_back(Level1);
+  TheHMC.TheAction.push_back(Level2);
+  TheHMC.TheAction.push_back(Level3);
+  std::cout << GridLogMessage << " Action complete "<< std::endl;
+  /////////////////////////////////////////////////////////////
+
+  TheHMC.Run();  // no smearing
+
+  Grid_finalize();
+} // main
+
+
+

HMC/Mobius2p1f_DD_EOFA_96I_mixed.cc

@@ -343,7 +343,7 @@ int main(int argc, char **argv) {
   // Probably dominates the force - back to EOFA.
   OneFlavourRationalParams SFRp;
   SFRp.lo       = 0.1;
-  SFRp.hi       = 25.0;
+  SFRp.hi       = 30.0;
   SFRp.MaxIter  = 10000;
   SFRp.tolerance= 1.0e-5;
   SFRp.mdtolerance= 2.0e-4;

HMC/Mobius2p1f_EOFA_96I_hmc.cc

@@ -128,7 +128,7 @@ template<class FermionOperatorD, class FermionOperatorF, class SchurOperatorD, c
       ////////////////////////////////////////////////////////////////////////////////////
       // Make a mixed precision conjugate gradient
       ////////////////////////////////////////////////////////////////////////////////////
-#if 1
+#if 0
       RealD delta=1.e-4;
       std::cout << GridLogMessage << "Calling reliable update Conjugate Gradient" <<std::endl;
       ConjugateGradientReliableUpdate<FieldD,FieldF> MPCG(Tolerance,MaxInnerIterations*MaxOuterIterations,delta,SinglePrecGrid5,LinOpF,LinOpD);
@@ -180,7 +180,7 @@ int main(int argc, char **argv) {
   // 4/2 => 0.6 dH
   // 3/3 => 0.8 dH .. depth 3, slower
   //MD.MDsteps =  4;
-  MD.MDsteps =  14;
+  MD.MDsteps =  12;
   MD.trajL   = 0.5;
 
   HMCparameters HMCparams;
@@ -204,7 +204,7 @@ int main(int argc, char **argv) {
   TheHMC.Resources.LoadNerscCheckpointer(CPparams);
   std::cout << "loaded NERSC checpointer"<<std::endl;
   RNGModuleParameters RNGpar;
-  RNGpar.serial_seeds = "1 2 3 4 5";
+  RNGpar.serial_seeds = "1 2 3 4 5 6 7 8 9 10";
   RNGpar.parallel_seeds = "6 7 8 9 10";
   TheHMC.Resources.SetRNGSeeds(RNGpar);
 
@@ -218,15 +218,14 @@ int main(int argc, char **argv) {
   RealD M5  = 1.8;
   RealD b   = 1.5;
   RealD c   = 0.5;
-  Real beta         = 2.13;
+  RealD beta         = 2.13;
   //  Real light_mass   = 5.4e-4;
   Real light_mass     = 7.8e-4;
+  //  Real light_mass     = 7.8e-3;
   Real strange_mass = 0.0362;
   Real pv_mass      = 1.0;
-  //  std::vector<Real> hasenbusch({ 0.01, 0.045, 0.108, 0.25, 0.51 , pv_mass });
+  std::vector<Real> hasenbusch({ 0.005, 0.0145, 0.045, 0.108, 0.25, 0.35 , 0.51, 0.6, 0.8 }); // Updated
-  //  std::vector<Real> hasenbusch({ light_mass, 0.01, 0.045, 0.108, 0.25, 0.51 , pv_mass });
+  //std::vector<Real> hasenbusch({ 0.0145, 0.045, 0.108, 0.25, 0.35 , 0.51, 0.6, 0.8 }); // Updated
-  std::vector<Real> hasenbusch({ 0.005, 0.0145, 0.045, 0.108, 0.25, 0.51 }); // Updated
-  //  std::vector<Real> hasenbusch({ light_mass, 0.0145, 0.045, 0.108, 0.25, 0.51 , 0.75 , pv_mass });
 
   auto GridPtr   = TheHMC.Resources.GetCartesian();
   auto GridRBPtr = TheHMC.Resources.GetRBCartesian();
@@ -277,20 +276,20 @@ int main(int argc, char **argv) {
 
   //  double StoppingCondition = 1e-14;
   //  double MDStoppingCondition = 1e-9;
-  double StoppingCondition = 1e-9;
+  double StoppingCondition = 1e-14;
-  double MDStoppingCondition = 1e-8;
+  double MDStoppingCondition = 1e-9;
-  double MDStoppingConditionLoose = 1e-8;
+  double MDStoppingConditionLoose = 1e-9;
-  double MDStoppingConditionStrange = 1e-8;
+  double MDStoppingConditionStrange = 1e-9;
-  double MaxCGIterations = 300000;
+  double MaxCGIterations = 50000;
   ConjugateGradient<FermionField>  CG(StoppingCondition,MaxCGIterations);
   ConjugateGradient<FermionField>  MDCG(MDStoppingCondition,MaxCGIterations);
 
   ////////////////////////////////////
   // Collect actions
   ////////////////////////////////////
-  //  ActionLevel<HMCWrapper::Field> Level1(1);
+  ActionLevel<HMCWrapper::Field> Level1(1);
-  ActionLevel<HMCWrapper::Field> Level2(1);
+  ActionLevel<HMCWrapper::Field> Level2(2);
-  ActionLevel<HMCWrapper::Field> Level3(15);
+  ActionLevel<HMCWrapper::Field> Level3(4);
 
   ////////////////////////////////////
   // Strange action
@@ -300,11 +299,11 @@ int main(int argc, char **argv) {
 
   // Probably dominates the force - back to EOFA.
   OneFlavourRationalParams SFRp;
-  SFRp.lo       = 0.1;
+  SFRp.lo       = 0.8;
   SFRp.hi       = 30.0;
   SFRp.MaxIter  = 10000;
-  SFRp.tolerance= 1.0e-8;
+  SFRp.tolerance= 1.0e-12;
-  SFRp.mdtolerance= 2.0e-6;
+  SFRp.mdtolerance= 1.0e-9;
   SFRp.degree   = 10;
   SFRp.precision= 50;
   
@@ -355,8 +354,10 @@ int main(int argc, char **argv) {
   ExactOneFlavourRatioPseudoFermionAction<FermionImplPolicy> 
     EOFA(Strange_Op_L, Strange_Op_R, 
 	 ActionCG, 
-	 ActionCGL, ActionCGR,
+	 //	 ActionCGL, ActionCGR,
-	 DerivativeCGL, DerivativeCGR,
+	 //	 DerivativeCGL, DerivativeCGR,
+	 ActionCG, ActionCG,
+	 DerivativeCG, DerivativeCG,
 	 SFRp, true);
   Level2.push_back(&EOFA);
 
@@ -443,13 +444,14 @@ int main(int argc, char **argv) {
   }
   int nquo=Quotients.size();
   for(int h=0;h<nquo;h++){
-    Level2.push_back(Quotients[h]);
+    Level1.push_back(Quotients[h]);
   }
 
   /////////////////////////////////////////////////////////////
   // Gauge action
   /////////////////////////////////////////////////////////////
   Level3.push_back(&GaugeAction);
+  TheHMC.TheAction.push_back(Level1);
   TheHMC.TheAction.push_back(Level2);
   TheHMC.TheAction.push_back(Level3);
   std::cout << GridLogMessage << " Action complete "<< std::endl;

HMC/Mobius2p1f_EOFA_96I_hmc_double.cc

@@ -0,0 +1,268 @@
+/*************************************************************************************
+
+Grid physics library, www.github.com/paboyle/Grid
+
+Source file: ./tests/Test_hmc_EODWFRatio.cc
+
+Copyright (C) 2015-2016
+
+Author: Peter Boyle <pabobyle@ph.ed.ac.uk>
+Author: Guido Cossu <guido.cossu@ed.ac.uk>
+
+This program is free software; you can redistribute it and/or modify
+it under the terms of the GNU General Public License as published by
+the Free Software Foundation; either version 2 of the License, or
+(at your option) any later version.
+
+This program is distributed in the hope that it will be useful,
+but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+GNU General Public License for more details.
+
+You should have received a copy of the GNU General Public License along
+with this program; if not, write to the Free Software Foundation, Inc.,
+51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
+
+See the full license in the file "LICENSE" in the top level distribution
+directory
+*************************************************************************************/
+/*  END LEGAL */
+#include <Grid/Grid.h>
+
+
+
+int main(int argc, char **argv) {
+  using namespace Grid;
+
+  std::cout << " Grid Initialise "<<std::endl;
+  
+  Grid_init(&argc, &argv);
+
+  CartesianCommunicator::BarrierWorld();
+  std::cout << GridLogMessage << " Clock skew check" <<std::endl;
+  
+  int threads = GridThread::GetThreads();
+
+   // Typedefs to simplify notation
+  typedef WilsonImplD FermionImplPolicy;
+  typedef MobiusFermionD FermionAction;
+  typedef MobiusEOFAFermionD FermionEOFAAction;
+  typedef typename FermionAction::FermionField FermionField;
+
+  typedef WilsonImplF FermionImplPolicyF;
+  typedef MobiusFermionF FermionActionF;
+  typedef MobiusEOFAFermionF FermionEOFAActionF;
+  typedef typename FermionActionF::FermionField FermionFieldF;
+
+  typedef Grid::XmlReader       Serialiser;
+
+  //::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
+  IntegratorParameters MD;
+  //  typedef GenericHMCRunner<LeapFrog> HMCWrapper;
+  //  MD.name    = std::string("Leap Frog");
+  typedef GenericHMCRunner<ForceGradient> HMCWrapper;
+  MD.name    = std::string("Force Gradient");
+  //  typedef GenericHMCRunner<MinimumNorm2> HMCWrapper;
+  //  MD.name    = std::string("MinimumNorm2");
+  // TrajL = 2
+  // 4/2 => 0.6 dH
+  // 3/3 => 0.8 dH .. depth 3, slower
+  //MD.MDsteps =  4;
+  MD.MDsteps =  8;
+  MD.trajL   = 0.5;
+
+  HMCparameters HMCparams;
+  HMCparams.StartTrajectory  = 1077;
+  HMCparams.Trajectories     = 20;
+  HMCparams.NoMetropolisUntil=  0;
+  // "[HotStart, ColdStart, TepidStart, CheckpointStart]\n";
+  HMCparams.StartingType     =std::string("ColdStart");
+  //  HMCparams.StartingType     =std::string("CheckpointStart");
+  HMCparams.MD = MD;
+  HMCWrapper TheHMC(HMCparams);
+
+  // Grid from the command line arguments --grid and --mpi
+  TheHMC.Resources.AddFourDimGrid("gauge"); // use default simd lanes decomposition
+
+  CheckpointerParameters CPparams;
+  CPparams.config_prefix = "ckpoint_HMC_lat";
+  CPparams.rng_prefix    = "ckpoint_HMC_rng";
+  CPparams.saveInterval  = 1;
+  CPparams.format        = "IEEE64BIG";
+  TheHMC.Resources.LoadNerscCheckpointer(CPparams);
+  std::cout << "loaded NERSC checpointer"<<std::endl;
+  RNGModuleParameters RNGpar;
+  RNGpar.serial_seeds = "1 2 3 4 5 6 7 8 9 10";
+  RNGpar.parallel_seeds = "6 7 8 9 10";
+  TheHMC.Resources.SetRNGSeeds(RNGpar);
+
+  // Construct observables
+  // here there is too much indirection
+  typedef PlaquetteMod<HMCWrapper::ImplPolicy> PlaqObs;
+  TheHMC.Resources.AddObservable<PlaqObs>();
+  //////////////////////////////////////////////
+
+  const int Ls      = 12;
+  RealD M5  = 1.8;
+  RealD b   = 1.5;
+  RealD c   = 0.5;
+  RealD beta         = 2.13;
+  //  Real light_mass   = 5.4e-4;
+  Real light_mass     = 7.8e-4;
+  //  Real light_mass     = 7.8e-3;
+  Real strange_mass = 0.0362;
+  Real pv_mass      = 1.0;
+  std::vector<Real> hasenbusch({ 0.005, 0.0145, 0.045, 0.108, 0.25, 0.35 , 0.51, 0.6, 0.8 }); // Updated
+  //std::vector<Real> hasenbusch({ 0.0145, 0.045, 0.108, 0.25, 0.35 , 0.51, 0.6, 0.8 }); // Updated
+
+  auto GridPtr   = TheHMC.Resources.GetCartesian();
+  auto GridRBPtr = TheHMC.Resources.GetRBCartesian();
+
+  typedef SchurDiagMooeeOperator<FermionAction ,FermionField > LinearOperatorD;
+  typedef SchurDiagMooeeOperator<FermionEOFAAction ,FermionField > LinearOperatorEOFAD;
+
+  ////////////////////////////////////////////////////////////////
+  // Domain decomposed
+  ////////////////////////////////////////////////////////////////
+  Coordinate latt4  = GridPtr->GlobalDimensions();
+  Coordinate mpi    = GridPtr->ProcessorGrid();
+  Coordinate shm;
+
+  GlobalSharedMemory::GetShmDims(mpi,shm);
+
+  //////////////////////////
+  // Fermion Grids
+  //////////////////////////
+  auto FGrid     = SpaceTimeGrid::makeFiveDimGrid(Ls,GridPtr);
+  auto FrbGrid   = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,GridPtr);
+
+  IwasakiGaugeActionR GaugeAction(beta);
+
+  // temporarily need a gauge field
+  LatticeGaugeFieldD  U(GridPtr); U=Zero();
+
+  std::cout << GridLogMessage << " Running the HMC "<< std::endl;
+  TheHMC.ReadCommandLine(argc,argv);  // params on CML or from param file
+  TheHMC.initializeGaugeFieldAndRNGs(U);
+  std::cout << "loaded NERSC gauge field"<<std::endl;
+
+  // These lines are unecessary if BC are all periodic
+  std::vector<Complex> boundary = {1,1,1,-1};
+  FermionAction::ImplParams Params(boundary);
+
+  //  double StoppingCondition = 1e-14;
+  //  double MDStoppingCondition = 1e-9;
+  double StoppingCondition = 1e-14;
+  double MDStoppingCondition = 1e-9;
+  double MDStoppingConditionLoose = 1e-9;
+  double MDStoppingConditionStrange = 1e-9;
+  double MaxCGIterations = 50000;
+  ConjugateGradient<FermionField>  CG(StoppingCondition,MaxCGIterations);
+  ConjugateGradient<FermionField>  MDCG(MDStoppingCondition,MaxCGIterations);
+
+  ////////////////////////////////////
+  // Collect actions
+  ////////////////////////////////////
+  ActionLevel<HMCWrapper::Field> Level1(1);
+  ActionLevel<HMCWrapper::Field> Level2(2);
+  ActionLevel<HMCWrapper::Field> Level3(4);
+
+  ////////////////////////////////////
+  // Strange action
+  ////////////////////////////////////
+  FermionAction StrangeOp (U,*FGrid,*FrbGrid,*GridPtr,*GridRBPtr,strange_mass,M5,b,c, Params);
+  FermionAction StrangePauliVillarsOp(U,*FGrid,*FrbGrid,*GridPtr,*GridRBPtr,pv_mass,  M5,b,c, Params);
+
+  // Probably dominates the force - back to EOFA.
+  OneFlavourRationalParams SFRp;
+  SFRp.lo       = 0.8;
+  SFRp.hi       = 30.0;
+  SFRp.MaxIter  = 10000;
+  SFRp.tolerance= 1.0e-12;
+  SFRp.mdtolerance= 1.0e-9;
+  SFRp.degree   = 10;
+  SFRp.precision= 50;
+  
+  MobiusEOFAFermionD Strange_Op_L (U , *FGrid , *FrbGrid , *GridPtr , *GridRBPtr , strange_mass, strange_mass, pv_mass, 0.0, -1, M5, b, c);
+  MobiusEOFAFermionD Strange_Op_R (U , *FGrid , *FrbGrid , *GridPtr , *GridRBPtr , pv_mass, strange_mass,      pv_mass, -1.0, 1, M5, b, c);
+  ConjugateGradient<FermionField>      ActionCG(StoppingCondition,MaxCGIterations);
+  ConjugateGradient<FermionField>  DerivativeCG(MDStoppingCondition,MaxCGIterations);
+  LinearOperatorEOFAD Strange_LinOp_L (Strange_Op_L);
+  LinearOperatorEOFAD Strange_LinOp_R (Strange_Op_R);
+
+  ExactOneFlavourRatioPseudoFermionAction<FermionImplPolicy> 
+    EOFA(Strange_Op_L, Strange_Op_R, 
+	 ActionCG, 
+	 ActionCG, ActionCG,
+	 DerivativeCG, DerivativeCG,
+	 SFRp, true);
+  Level2.push_back(&EOFA);
+
+  ////////////////////////////////////
+  // up down action
+  ////////////////////////////////////
+  std::vector<Real> light_den;
+  std::vector<Real> light_num;
+
+  int n_hasenbusch = hasenbusch.size();
+  light_den.push_back(light_mass); 
+  for(int h=0;h<n_hasenbusch;h++){
+    light_den.push_back(hasenbusch[h]);
+  }
+
+  for(int h=0;h<n_hasenbusch;h++){
+    light_num.push_back(hasenbusch[h]);
+  }
+  light_num.push_back(pv_mass);
+
+  std::vector<FermionAction *> Numerators;
+  std::vector<FermionAction *> Denominators;
+  std::vector<TwoFlavourEvenOddRatioPseudoFermionAction<FermionImplPolicy> *> Quotients;
+  
+  std::vector<OneFlavourEvenOddRatioRationalPseudoFermionAction<FermionImplPolicy> *> Bdys;
+
+  typedef SchurDiagMooeeOperator<FermionAction ,FermionField > LinearOperatorD;
+  std::vector<LinearOperatorD *> LinOpD;
+  
+  for(int h=0;h<n_hasenbusch+1;h++){
+    std::cout << GridLogMessage
+	      << " 2f quotient Action ";
+    std::cout << "det D("<<light_den[h]<<")";
+    std::cout << "/ det D("<<light_num[h]<<")";
+    std::cout << std::endl;
+
+    FermionAction::ImplParams ParamsNum(boundary);
+    FermionAction::ImplParams ParamsDen(boundary);
+    
+    Numerators.push_back  (new FermionAction(U,*FGrid,*FrbGrid,*GridPtr,*GridRBPtr,light_num[h],M5,b,c, ParamsNum));
+    Denominators.push_back(new FermionAction(U,*FGrid,*FrbGrid,*GridPtr,*GridRBPtr,light_den[h],M5,b,c, ParamsDen));
+
+    LinOpD.push_back(new LinearOperatorD(*Denominators[h]));
+
+    double conv  = MDStoppingCondition;
+    if (h<3) conv= MDStoppingConditionLoose; // Relax on first two hasenbusch factors
+    
+    Quotients.push_back (new TwoFlavourEvenOddRatioPseudoFermionAction<FermionImplPolicy>(*Numerators[h],*Denominators[h],MDCG,CG,CG));
+  }
+  int nquo=Quotients.size();
+  for(int h=0;h<nquo;h++){
+    Level1.push_back(Quotients[h]);
+  }
+
+  /////////////////////////////////////////////////////////////
+  // Gauge action
+  /////////////////////////////////////////////////////////////
+  Level3.push_back(&GaugeAction);
+  TheHMC.TheAction.push_back(Level1);
+  TheHMC.TheAction.push_back(Level2);
+  TheHMC.TheAction.push_back(Level3);
+  std::cout << GridLogMessage << " Action complete "<< std::endl;
+  /////////////////////////////////////////////////////////////
+
+  TheHMC.Run();  // no smearing
+
+  Grid_finalize();
+} // main
+
+
+

HMC/Mobius2p1p1fEOFA_4Gev.cc

@@ -1,637 +0,0 @@
-/*************************************************************************************
-
-Grid physics library, www.github.com/paboyle/Grid
-
-Source file: 
-
-Copyright (C) 2015-2016
-
-Author: Peter Boyle <pabobyle@ph.ed.ac.uk>
-Author: Guido Cossu
-Author: David Murphy
-Author: Chulwoo Jung <chulwoo@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 */
-#include <Grid/Grid.h>
-
-#ifdef GRID_DEFAULT_PRECISION_DOUBLE
-#define MIXED_PRECISION
-#endif
-// second level EOFA
-#undef EOFA_H
-#undef USE_OBC
-#define DO_IMPLICIT
-
-NAMESPACE_BEGIN(Grid);
-
-  /*
-   * Need a plan for gauge field update for mixed precision in HMC                      (2x speed up)
-   *    -- Store the single prec action operator.
-   *    -- Clone the gauge field from the operator function argument.
-   *    -- Build the mixed precision operator dynamically from the passed operator and single prec clone.
-   */
-
-  template<class FermionOperatorD, class FermionOperatorF, class SchurOperatorD, class  SchurOperatorF> 
-  class MixedPrecisionConjugateGradientOperatorFunction : public OperatorFunction<typename FermionOperatorD::FermionField> {
-  public:
-    typedef typename FermionOperatorD::FermionField FieldD;
-    typedef typename FermionOperatorF::FermionField FieldF;
-
-    using OperatorFunction<FieldD>::operator();
-
-    RealD   Tolerance;
-    RealD   InnerTolerance; //Initial tolerance for inner CG. Defaults to Tolerance but can be changed
-    Integer MaxInnerIterations;
-    Integer MaxOuterIterations;
-    GridBase* SinglePrecGrid4; //Grid for single-precision fields
-    GridBase* SinglePrecGrid5; //Grid for single-precision fields
-    RealD OuterLoopNormMult; //Stop the outer loop and move to a final double prec solve when the residual is OuterLoopNormMult * Tolerance
-
-    FermionOperatorF &FermOpF;
-    FermionOperatorD &FermOpD;;
-    SchurOperatorF &LinOpF;
-    SchurOperatorD &LinOpD;
-
-    Integer TotalInnerIterations; //Number of inner CG iterations
-    Integer TotalOuterIterations; //Number of restarts
-    Integer TotalFinalStepIterations; //Number of CG iterations in final patch-up step
-
-    MixedPrecisionConjugateGradientOperatorFunction(RealD tol, 
-						    Integer maxinnerit, 
-						    Integer maxouterit, 
-						    GridBase* _sp_grid4, 
-						    GridBase* _sp_grid5, 
-						    FermionOperatorF &_FermOpF,
-						    FermionOperatorD &_FermOpD,
-						    SchurOperatorF   &_LinOpF,
-						    SchurOperatorD   &_LinOpD): 
-      LinOpF(_LinOpF),
-      LinOpD(_LinOpD),
-      FermOpF(_FermOpF),
-      FermOpD(_FermOpD),
-      Tolerance(tol), 
-      InnerTolerance(tol), 
-      MaxInnerIterations(maxinnerit), 
-      MaxOuterIterations(maxouterit), 
-      SinglePrecGrid4(_sp_grid4),
-      SinglePrecGrid5(_sp_grid5),
-      OuterLoopNormMult(100.) 
-    { 
-      /* Debugging instances of objects; references are stored
-      std::cout << GridLogMessage << " Mixed precision CG wrapper LinOpF " <<std::hex<< &LinOpF<<std::dec <<std::endl;
-      std::cout << GridLogMessage << " Mixed precision CG wrapper LinOpD " <<std::hex<< &LinOpD<<std::dec <<std::endl;
-      std::cout << GridLogMessage << " Mixed precision CG wrapper FermOpF " <<std::hex<< &FermOpF<<std::dec <<std::endl;
-      std::cout << GridLogMessage << " Mixed precision CG wrapper FermOpD " <<std::hex<< &FermOpD<<std::dec <<std::endl;
-      */
-    };
-
-    void operator()(LinearOperatorBase<FieldD> &LinOpU, const FieldD &src, FieldD &psi) {
-
-      std::cout << GridLogMessage << " Mixed precision CG wrapper operator() "<<std::endl;
-
-      SchurOperatorD * SchurOpU = static_cast<SchurOperatorD *>(&LinOpU);
-      
-      //      std::cout << GridLogMessage << " Mixed precision CG wrapper operator() FermOpU " <<std::hex<< &(SchurOpU->_Mat)<<std::dec <<std::endl;
-      //      std::cout << GridLogMessage << " Mixed precision CG wrapper operator() FermOpD " <<std::hex<< &(LinOpD._Mat) <<std::dec <<std::endl;
-      // Assumption made in code to extract gauge field
-      // We could avoid storing LinopD reference alltogether ?
-      assert(&(SchurOpU->_Mat)==&(LinOpD._Mat));
-
-      ////////////////////////////////////////////////////////////////////////////////////
-      // Must snarf a single precision copy of the gauge field in Linop_d argument
-      ////////////////////////////////////////////////////////////////////////////////////
-      typedef typename FermionOperatorF::GaugeField GaugeFieldF;
-      typedef typename FermionOperatorF::GaugeLinkField GaugeLinkFieldF;
-      typedef typename FermionOperatorD::GaugeField GaugeFieldD;
-      typedef typename FermionOperatorD::GaugeLinkField GaugeLinkFieldD;
-
-      GridBase * GridPtrF = SinglePrecGrid4;
-      GridBase * GridPtrD = FermOpD.Umu.Grid();
-      GaugeFieldF     U_f  (GridPtrF);
-      GaugeLinkFieldF Umu_f(GridPtrF);
-      //      std::cout << " Dim gauge field "<<GridPtrF->Nd()<<std::endl; // 4d
-      //      std::cout << " Dim gauge field "<<GridPtrD->Nd()<<std::endl; // 4d
-
-      ////////////////////////////////////////////////////////////////////////////////////
-      // Moving this to a Clone method of fermion operator would allow to duplicate the 
-      // physics parameters and decrease gauge field copies
-      ////////////////////////////////////////////////////////////////////////////////////
-      GaugeLinkFieldD Umu_d(GridPtrD);
-      for(int mu=0;mu<Nd*2;mu++){ 
-	Umu_d = PeekIndex<LorentzIndex>(FermOpD.Umu, mu);
-	precisionChange(Umu_f,Umu_d);
-	PokeIndex<LorentzIndex>(FermOpF.Umu, Umu_f, mu);
-      }
-      pickCheckerboard(Even,FermOpF.UmuEven,FermOpF.Umu);
-      pickCheckerboard(Odd ,FermOpF.UmuOdd ,FermOpF.Umu);
-
-      ////////////////////////////////////////////////////////////////////////////////////
-      // Make a mixed precision conjugate gradient
-      ////////////////////////////////////////////////////////////////////////////////////
-      MixedPrecisionConjugateGradient<FieldD,FieldF> MPCG(Tolerance,MaxInnerIterations,MaxOuterIterations,SinglePrecGrid5,LinOpF,LinOpD);
-      std::cout << GridLogMessage << "Calling mixed precision Conjugate Gradient" <<std::endl;
-      MPCG(src,psi);
-    }
-  };
-
-NAMESPACE_END(Grid);
-
-
-int main(int argc, char **argv) {
-  using namespace Grid;
-
-  Grid_init(&argc, &argv);
-  int threads = GridThread::GetThreads();
-  // here make a routine to print all the relevant information on the run
-  std::cout << GridLogMessage << "Grid is setup to use " << threads << " threads" << std::endl;
-
-   // Typedefs to simplify notation
-  typedef WilsonImplR FermionImplPolicy;
-  typedef MobiusFermionD FermionAction;
-  typedef MobiusFermionF FermionActionF;
-  typedef MobiusEOFAFermionD FermionEOFAAction;
-  typedef MobiusEOFAFermionF FermionEOFAActionF;
-  typedef typename FermionAction::FermionField FermionField;
-  typedef typename FermionActionF::FermionField FermionFieldF;
-
-  typedef Grid::XmlReader       Serialiser;
-  
-  //::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
-
-  HMCparameters HMCparams;
-#if 1
-  {
-    XmlReader  HMCrd("HMCparameters.xml");
-    read(HMCrd,"HMCparameters",HMCparams);
-  }
-#else
-  {
-//    HMCparameters HMCparams;
-  //  "[HotStart, ColdStart, TepidStart, CheckpointStart]\n";
-  //  HMCparams.StartingType     =std::string("ColdStart");
-    HMCparams.StartingType     =std::string("CheckpointStart");
-    HMCparams.StartTrajectory  =7;
-    HMCparams.SW  =4;
-    HMCparams.Trajectories     =1000;
-    HMCparams.NoMetropolisUntil=0;
-    HMCparams.MD.name          =std::string("Force Gradient");
-    HMCparams.MD.MDsteps       = 10;
-    HMCparams.MD.trajL         = 1.0;
-  }
-#endif
-
-#ifdef DO_IMPLICIT
-//    typedef GenericHMCRunner<ImplicitLeapFrog> HMCWrapper; 
-  typedef GenericHMCRunner<ImplicitMinimumNorm2> HMCWrapper; 
-  HMCparams.MD.name          =std::string("ImplicitMinimumNorm2");
-#else
-//  typedef GenericHMCRunner<LeapFrog> HMCWrapper; 
-  typedef GenericHMCRunner<ForceGradient> HMCWrapper; 
-//  typedef GenericHMCRunner<MinimumNorm2> HMCWrapper; 
-  HMCparams.MD.name          =std::string("ForceGradient");
-#endif
-
-  std::cout << GridLogMessage<< HMCparams <<std::endl;
-  HMCWrapper TheHMC(HMCparams);
-  TheHMC.ReadCommandLine(argc, argv);
-  { 
-    XmlWriter HMCwr("HMCparameters.xml.out");
-    write(HMCwr,"HMCparameters",TheHMC.Parameters);
-  }
-
-  // Grid from the command line arguments --grid and --mpi
-  TheHMC.Resources.AddFourDimGrid("gauge"); // use default simd lanes decomposition
-  
-  CheckpointerParameters CPparams;
-  CPparams.config_prefix = "ckpoint_lat";
-  CPparams.rng_prefix    = "ckpoint_rng";
-  CPparams.saveInterval  = 1;
-  CPparams.format        = "IEEE64BIG";
-  TheHMC.Resources.LoadNerscCheckpointer(CPparams);
-
-  RNGModuleParameters RNGpar;
-  RNGpar.serial_seeds = "1 2 3 4 5";
-  RNGpar.parallel_seeds = "6 7 8 9 10";
-  TheHMC.Resources.SetRNGSeeds(RNGpar);
-
-  // Construct observables
-  // here there is too much indirection 
-  typedef PlaquetteMod<HMCWrapper::ImplPolicy> PlaqObs;
-  TheHMC.Resources.AddObservable<PlaqObs>();
-  //////////////////////////////////////////////
-
-  const int Ls      = 12;
-  Real beta         = 5.983;
-  std::cout << GridLogMessage << " beta  "<< beta << std::endl;
-  Real light_mass   = 0.00049;
-  Real strange_mass = 0.0158;
-  Real charm_mass = 0.191;
-  Real pv_mass    = 1.0;
-  RealD M5  = 1.4;
-  RealD b   = 2.0; 
-  RealD c   = 1.0;
-
-  // Copied from paper
-//  std::vector<Real> hasenbusch({ 0.045 }); // Paper values from F1 incorrect run
-  std::vector<Real> hasenbusch({ 0.0038, 0.0145, 0.045, 0.108 , 0.25, 0.51 }); // Paper values from F1 incorrect run
-  std::vector<Real> hasenbusch2({ 0.4 }); // Paper values from F1 incorrect run
-
-//  RealD eofa_mass=0.05 ;
-
-  ///////////////////////////////////////////////////////////////////////////////////////////////
-  //Bad choices with large dH. Equalising force L2 norm was not wise.
-  ///////////////////////////////////////////////////////////////////////////////////////////////
-  //std::vector<Real> hasenbusch({ 0.03, 0.2, 0.3, 0.5, 0.8 }); 
-
-  auto GridPtr   = TheHMC.Resources.GetCartesian();
-  auto GridRBPtr = TheHMC.Resources.GetRBCartesian();
-  auto FGrid     = SpaceTimeGrid::makeFiveDimGrid(Ls,GridPtr);
-  auto FrbGrid   = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,GridPtr);
-
-  Coordinate latt  = GridDefaultLatt();
-  Coordinate mpi   = GridDefaultMpi();
-  Coordinate simdF = GridDefaultSimd(Nd,vComplexF::Nsimd());
-  Coordinate simdD = GridDefaultSimd(Nd,vComplexD::Nsimd());
-//  auto GridPtrF   = SpaceTimeGrid::makeFourDimGrid(latt,simdF,mpi);
-  auto UGrid_f    = SpaceTimeGrid::makeFourDimGrid(latt,simdF,mpi);
-  auto GridRBPtrF = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid_f);
-  auto FGridF     = SpaceTimeGrid::makeFiveDimGrid(Ls,UGrid_f);
-  auto FrbGridF   = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGrid_f);
-
-
-#ifndef USE_OBC
-//  IwasakiGaugeActionR GaugeAction(beta);
-  WilsonGaugeActionR GaugeAction(beta);
-#else
-  std::vector<Complex> boundaryG = {1,1,1,0};
-  WilsonGaugeActionR::ImplParams ParamsG(boundaryG);
-  WilsonGaugeActionR GaugeAction(beta,ParamsG);
-#endif
-
-  // temporarily need a gauge field
-  LatticeGaugeField U(GridPtr);
-  LatticeGaugeFieldF UF(UGrid_f);
-
-  // These lines are unecessary if BC are all periodic
-#ifndef USE_OBC
-  std::vector<Complex> boundary = {1,1,1,-1};
-#else
-  std::vector<Complex> boundary = {1,1,1,0};
-#endif
-  FermionAction::ImplParams Params(boundary);
-  FermionActionF::ImplParams ParamsF(boundary);
-  
-  double ActionStoppingCondition     = 1e-8;
-  double DerivativeStoppingCondition = 1e-8;
-  double MaxCGIterations =  100000;
-
-  ////////////////////////////////////
-  // Collect actions
-  ////////////////////////////////////
-  ActionLevel<HMCWrapper::Field> Level1(1);
-  ActionLevel<HMCWrapper::Field> Level2(HMCparams.SW);
-
-  ////////////////////////////////////
-  // Strange action
-  ////////////////////////////////////
-  typedef SchurDiagMooeeOperator<FermionActionF,FermionFieldF> LinearOperatorF;
-  typedef SchurDiagMooeeOperator<FermionAction ,FermionField > LinearOperatorD;
-  typedef SchurDiagMooeeOperator<FermionEOFAActionF,FermionFieldF> LinearOperatorEOFAF;
-  typedef SchurDiagMooeeOperator<FermionEOFAAction ,FermionField > LinearOperatorEOFAD;
-
-  typedef MixedPrecisionConjugateGradientOperatorFunction<MobiusFermionD,MobiusFermionF,LinearOperatorD,LinearOperatorF> MxPCG;
-  typedef MixedPrecisionConjugateGradientOperatorFunction<MobiusEOFAFermionD,MobiusEOFAFermionF,LinearOperatorEOFAD,LinearOperatorEOFAF> MxPCG_EOFA;
-
-  // DJM: setup for EOFA ratio (Mobius)
-  OneFlavourRationalParams OFRp;
-  OFRp.lo       = 0.99; // How do I know this on F1?
-  OFRp.hi       = 20;
-  OFRp.MaxIter  = 100000;
-  OFRp.tolerance= 1.0e-12;
-  OFRp.degree   = 12;
-  OFRp.precision= 50;
-
-  
-  MobiusEOFAFermionD Strange_Op_L (U , *FGrid , *FrbGrid , *GridPtr , *GridRBPtr , strange_mass, strange_mass, charm_mass, 0.0, -1, M5, b, c);
-  MobiusEOFAFermionF Strange_Op_LF(UF, *FGridF, *FrbGridF, *UGrid_f, *GridRBPtrF, strange_mass, strange_mass, charm_mass, 0.0, -1, M5, b, c);
-  MobiusEOFAFermionD Strange_Op_R (U , *FGrid , *FrbGrid , *GridPtr , *GridRBPtr , charm_mass, strange_mass,      charm_mass, -1.0, 1, M5, b, c);
-  MobiusEOFAFermionF Strange_Op_RF(UF, *FGridF, *FrbGridF, *UGrid_f, *GridRBPtrF, charm_mass, strange_mass,      charm_mass, -1.0, 1, M5, b, c);
-  
-#ifdef EOFA_H
-  MobiusEOFAFermionD Strange2_Op_L (U , *FGrid , *FrbGrid , *GridPtr , *GridRBPtr , eofa_mass, eofa_mass, charm_mass , 0.0, -1, M5, b, c);
-  MobiusEOFAFermionF Strange2_Op_LF(UF, *FGridF, *FrbGridF, *UGrid_f, *GridRBPtrF, eofa_mass, eofa_mass, charm_mass , 0.0, -1, M5, b, c);
-  MobiusEOFAFermionD Strange2_Op_R (U , *FGrid , *FrbGrid , *GridPtr , *GridRBPtr , charm_mass , eofa_mass,      charm_mass , -1.0, 1, M5, b, c);
-  MobiusEOFAFermionF Strange2_Op_RF(UF, *FGridF, *FrbGridF, *UGrid_f, *GridRBPtrF, charm_mass , eofa_mass,      charm_mass , -1.0, 1, M5, b, c);
-#endif
-
-  ConjugateGradient<FermionField>      ActionCG(ActionStoppingCondition,MaxCGIterations);
-  ConjugateGradient<FermionField>  DerivativeCG(DerivativeStoppingCondition,MaxCGIterations);
-#ifdef MIXED_PRECISION
-  const int MX_inner = 50000;
-
-  // Mixed precision EOFA
-  LinearOperatorEOFAD Strange_LinOp_L (Strange_Op_L);
-  LinearOperatorEOFAD Strange_LinOp_R (Strange_Op_R);
-  LinearOperatorEOFAF Strange_LinOp_LF(Strange_Op_LF);
-  LinearOperatorEOFAF Strange_LinOp_RF(Strange_Op_RF);
-
-#ifdef EOFA_H
-  // Mixed precision EOFA
-  LinearOperatorEOFAD Strange2_LinOp_L (Strange2_Op_L);
-  LinearOperatorEOFAD Strange2_LinOp_R (Strange2_Op_R);
-  LinearOperatorEOFAF Strange2_LinOp_LF(Strange2_Op_LF);
-  LinearOperatorEOFAF Strange2_LinOp_RF(Strange2_Op_RF);
-#endif
-
-  MxPCG_EOFA ActionCGL(ActionStoppingCondition,
-		       MX_inner,
-		       MaxCGIterations,
-		       UGrid_f,
-		       FrbGridF,
-		       Strange_Op_LF,Strange_Op_L,
-		       Strange_LinOp_LF,Strange_LinOp_L);
-
-#ifdef EOFA_H
-  MxPCG_EOFA ActionCGL2(ActionStoppingCondition,
-		       MX_inner,
-		       MaxCGIterations,
-		       UGrid_f,
-		       FrbGridF,
-		       Strange2_Op_LF,Strange2_Op_L,
-		       Strange2_LinOp_LF,Strange2_LinOp_L);
-#endif
-
-  MxPCG_EOFA DerivativeCGL(DerivativeStoppingCondition,
-			   MX_inner,
-			   MaxCGIterations,
-			   UGrid_f,
-			   FrbGridF,
-			   Strange_Op_LF,Strange_Op_L,
-			   Strange_LinOp_LF,Strange_LinOp_L);
-
-#ifdef EOFA_H
-  MxPCG_EOFA DerivativeCGL2(DerivativeStoppingCondition,
-			   MX_inner,
-			   MaxCGIterations,
-			   UGrid_f,
-			   FrbGridF,
-			   Strange2_Op_LF,Strange2_Op_L,
-			   Strange2_LinOp_LF,Strange2_LinOp_L);
-#endif
-  
-  MxPCG_EOFA ActionCGR(ActionStoppingCondition,
-		       MX_inner,
-		       MaxCGIterations,
-		       UGrid_f,
-		       FrbGridF,
-		       Strange_Op_RF,Strange_Op_R,
-		       Strange_LinOp_RF,Strange_LinOp_R);
-  
-#ifdef EOFA_H
-  MxPCG_EOFA ActionCGR2(ActionStoppingCondition,
-		       MX_inner,
-		       MaxCGIterations,
-		       UGrid_f,
-		       FrbGridF,
-		       Strange2_Op_RF,Strange2_Op_R,
-		       Strange2_LinOp_RF,Strange2_LinOp_R);
-#endif
-  
-  MxPCG_EOFA DerivativeCGR(DerivativeStoppingCondition,
-			   MX_inner,
-			   MaxCGIterations,
-			   UGrid_f,
-			   FrbGridF,
-			   Strange_Op_RF,Strange_Op_R,
-			   Strange_LinOp_RF,Strange_LinOp_R);
-  
-#ifdef EOFA_H
-  MxPCG_EOFA DerivativeCGR2(DerivativeStoppingCondition,
-			   MX_inner,
-			   MaxCGIterations,
-			   UGrid_f,
-			   FrbGridF,
-			   Strange2_Op_RF,Strange2_Op_R,
-			   Strange2_LinOp_RF,Strange2_LinOp_R);
-#endif
-  
-  ExactOneFlavourRatioPseudoFermionAction<FermionImplPolicy> 
-    EOFA(Strange_Op_L, Strange_Op_R, 
-	 ActionCG, 
-	 ActionCGL, ActionCGR,
-	 DerivativeCGL, DerivativeCGR,
-	 OFRp, true);
-  
-#ifdef EOFA_H
-  ExactOneFlavourRatioPseudoFermionAction<FermionImplPolicy> 
-    EOFA2(Strange2_Op_L, Strange2_Op_R, 
-	 ActionCG, 
-	 ActionCGL2, ActionCGR2,
-	 DerivativeCGL2, DerivativeCGR2,
-	 OFRp, true);
-#endif
-
-  Level1.push_back(&EOFA);
-#ifdef EOFA_H
-  Level1.push_back(&EOFA2);
-#endif
-
-#else
-  ExactOneFlavourRatioPseudoFermionAction<FermionImplPolicy> 
-    EOFA(Strange_Op_L, Strange_Op_R, 
-	 ActionCG, 
-	 ActionCG, ActionCG,
-	 ActionCG, ActionCG,
-	 //         DerivativeCG, DerivativeCG,
-	 OFRp, true);
-  Level1.push_back(&EOFA);
-#endif
-
-  ////////////////////////////////////
-  // up down action
-  ////////////////////////////////////
-  std::vector<Real> light_den;
-  std::vector<Real> light_num;
-
-  int n_hasenbusch = hasenbusch.size();
-  light_den.push_back(light_mass);
-  for(int h=0;h<n_hasenbusch;h++){
-    light_den.push_back(hasenbusch[h]);
-    light_num.push_back(hasenbusch[h]);
-  }
-  light_num.push_back(pv_mass);
-
-  int n_hasenbusch2 = hasenbusch2.size();
-  light_den.push_back(charm_mass);
-  for(int h=0;h<n_hasenbusch2;h++){
-    light_den.push_back(hasenbusch2[h]);
-    light_num.push_back(hasenbusch2[h]);
-  }
-  light_num.push_back(pv_mass);
-
-
-  //////////////////////////////////////////////////////////////
-  // Forced to replicate the MxPCG and DenominatorsF etc.. because
-  // there is no convenient way to "Clone" physics params from double op
-  // into single op for any operator pair.
-  // Same issue prevents using MxPCG in the Heatbath step
-  //////////////////////////////////////////////////////////////
-  std::vector<FermionAction *> Numerators;
-  std::vector<FermionAction *> Denominators;
-  std::vector<TwoFlavourEvenOddRatioPseudoFermionAction<FermionImplPolicy> *> Quotients;
-  std::vector<MxPCG *> ActionMPCG;
-  std::vector<MxPCG *> MPCG;
-  std::vector<FermionActionF *> DenominatorsF;
-  std::vector<LinearOperatorD *> LinOpD;
-  std::vector<LinearOperatorF *> LinOpF; 
-
-  for(int h=0;h<light_den.size();h++){
-
-    std::cout << GridLogMessage << " 2f quotient Action  "<< light_num[h] << " / " << light_den[h]<< std::endl;
-
-    Numerators.push_back  (new FermionAction(U,*FGrid,*FrbGrid,*GridPtr,*GridRBPtr,light_num[h],M5,b,c, Params));
-    Denominators.push_back(new FermionAction(U,*FGrid,*FrbGrid,*GridPtr,*GridRBPtr,light_den[h],M5,b,c, Params));
-
-#ifdef MIXED_PRECISION
-    ////////////////////////////////////////////////////////////////////////////
-    // Mixed precision CG for 2f force
-    ////////////////////////////////////////////////////////////////////////////
-    double DerivativeStoppingConditionLoose = 1e-8;
-
-    DenominatorsF.push_back(new FermionActionF(UF,*FGridF,*FrbGridF,*UGrid_f,*GridRBPtrF,light_den[h],M5,b,c, ParamsF));
-    LinOpD.push_back(new LinearOperatorD(*Denominators[h]));
-    LinOpF.push_back(new LinearOperatorF(*DenominatorsF[h]));
-
-    double conv  = DerivativeStoppingCondition;
-    if (h<3) conv= DerivativeStoppingConditionLoose; // Relax on first two hasenbusch factors
-    MPCG.push_back(new MxPCG(conv,
-			     MX_inner,
-			     MaxCGIterations,
-			     UGrid_f,
-			     FrbGridF,
-			     *DenominatorsF[h],*Denominators[h],
-			     *LinOpF[h], *LinOpD[h]) );
-
-    ActionMPCG.push_back(new MxPCG(ActionStoppingCondition,
-				   MX_inner,
-				   MaxCGIterations,
-				   UGrid_f,
-				   FrbGridF,
-				   *DenominatorsF[h],*Denominators[h],
-				   *LinOpF[h], *LinOpD[h]) );
-
-    // Heatbath not mixed yet. As inverts numerators not so important as raised mass.
-    Quotients.push_back (new TwoFlavourEvenOddRatioPseudoFermionAction<FermionImplPolicy>(*Numerators[h],*Denominators[h],*MPCG[h],*ActionMPCG[h],ActionCG));
-#else
-    ////////////////////////////////////////////////////////////////////////////
-    // Standard CG for 2f force
-    ////////////////////////////////////////////////////////////////////////////
-    Quotients.push_back   (new TwoFlavourEvenOddRatioPseudoFermionAction<FermionImplPolicy>(*Numerators[h],*Denominators[h],DerivativeCG,ActionCG));
-#endif
-
-  }
-
-  for(int h=0;h<n_hasenbusch+1;h++){
-    Level1.push_back(Quotients[h]);
-  }
-
-  /////////////////////////////////////////////////////////////
-  // Gauge action
-  /////////////////////////////////////////////////////////////
-  Level2.push_back(&GaugeAction);
-  TheHMC.TheAction.push_back(Level1);
-  TheHMC.TheAction.push_back(Level2);
-  std::cout << GridLogMessage << " Action complete "<< std::endl;
-
-  /////////////////////////////////////////////////////////////
-  // HMC parameters are serialisable
-
-  NoSmearing<HMCWrapper::ImplPolicy> S;
-#ifndef DO_IMPLICIT
-  TrivialMetric<HMCWrapper::ImplPolicy::Field> Mtr;
-#else
-    LaplacianRatParams gpar(2),mpar(2);
-    gpar.offset = 1.;
-    gpar.a0[0] = 500.;
-    gpar.a1[0] = 0.;
-    gpar.b0[0] = 0.25;
-    gpar.b1[0] = 1.;
-    gpar.a0[1] = -500.;
-    gpar.a1[1] = 0.;
-    gpar.b0[1] = 0.36;
-    gpar.b1[1] = 1.2;
-    gpar.b2=1.;
-
-    mpar.offset = 1.;
-    mpar.a0[0] =  -0.850891906532;
-    mpar.a1[0] = -1.54707654538;
-    mpar. b0[0] = 2.85557166137;
-    mpar. b1[0] = 5.74194794773;
-    mpar.a0[1] = -13.5120056831218384729709214298;
-    mpar.a1[1] = 1.54707654538396877086370295729;
-    mpar.b0[1] = 19.2921090880640520026645390317;
-    mpar.b1[1] = -3.54194794773029020262811172870;
-    mpar.b2=1.;
-    for(int i=0;i<2;i++){
-       gpar.a1[i] *=16.;
-       gpar.b1[i] *=16.;
-       mpar.a1[i] *=16.;
-       mpar.b1[i] *=16.;
-    }
-    gpar.b2 *= 16.*16.;
-    mpar.b2 *= 16.*16.;
-
-    ConjugateGradient<LatticeGaugeField> CG(1.0e-8,10000);
-    LaplacianParams LapPar(0.0001, 1.0, 10000, 1e-8, 12, 64);
-
-    std::cout << GridLogMessage << "LaplacianRat " << std::endl;
-    gpar.tolerance=HMCparams.MD.RMHMCCGTol;
-    mpar.tolerance=HMCparams.MD.RMHMCCGTol;
-    std::cout << GridLogMessage << "gpar offset= " << gpar.offset <<std::endl;
-    std::cout << GridLogMessage << " a0= " << gpar.a0 <<std::endl;
-    std::cout << GridLogMessage << " a1= " << gpar.a1 <<std::endl;
-    std::cout << GridLogMessage << " b0= " << gpar.b0 <<std::endl;
-    std::cout << GridLogMessage << " b1= " << gpar.b1 <<std::endl;
-    std::cout << GridLogMessage << " b2= " << gpar.b2 <<std::endl ;;
-
-    std::cout << GridLogMessage << "mpar offset= " << mpar.offset <<std::endl;
-    std::cout << GridLogMessage << " a0= " << mpar.a0 <<std::endl;
-    std::cout << GridLogMessage << " a1= " << mpar.a1 <<std::endl;
-    std::cout << GridLogMessage << " b0= " << mpar.b0 <<std::endl;
-    std::cout << GridLogMessage << " b1= " << mpar.b1 <<std::endl;
-    std::cout << GridLogMessage << " b2= " << mpar.b2 <<std::endl;
-//  Assumes PeriodicGimplR or D at the moment
-    auto UGrid = TheHMC.Resources.GetCartesian("gauge");
-//    auto UGrid_f   = GridPtrF;
-//  auto GridPtrF   = SpaceTimeGrid::makeFourDimGrid(latt,simdF,mpi);
-//    std::cout << GridLogMessage << " UGrid= " << UGrid <<std::endl;
-//    std::cout << GridLogMessage << " UGrid_f= " << UGrid_f <<std::endl;
-
-    LaplacianAdjointRat<HMCWrapper::ImplPolicy, PeriodicGimplF> Mtr(UGrid, UGrid_f ,CG, gpar, mpar);
-#endif
-
-  std::cout << GridLogMessage << " Running the HMC "<< std::endl;
-  TheHMC.Run(S,Mtr);  // no smearing
-
-  Grid_finalize();
-} // main
-
-
-

MPI_benchmark/bench2.pbs

@@ -0,0 +1,22 @@
+#!/bin/bash
+#PBS -q EarlyAppAccess
+#PBS -l select=2
+#PBS -l walltime=01:00:00
+#PBS -A LatticeQCD_aesp_CNDA
+
+export TZ='/usr/share/zoneinfo/US/Central'
+export OMP_PROC_BIND=spread
+export OMP_NUM_THREADS=3
+unset OMP_PLACES
+
+cd $PBS_O_WORKDIR
+
+NNODES=`wc -l < $PBS_NODEFILE`
+NRANKS=12         # Number of MPI ranks per node
+NDEPTH=4          # Number of hardware threads per rank, spacing between MPI ranks on a node
+NTHREADS=$OMP_NUM_THREADS # Number of OMP threads per rank, given to OMP_NUM_THREADS
+
+NTOTRANKS=$(( NNODES * NRANKS ))
+
+CMD="mpiexec -np 2 -ppn 1  -envall ./gpu_tile_compact.sh ./halo_mpi --mpi 2.1.1.1"
+$CMD

MPI_benchmark/compile-command

@@ -0,0 +1 @@
+mpicxx  -fsycl halo_mpi.cc -o halo_mpi

MPI_benchmark/gpu_tile_compact.sh

@@ -0,0 +1,30 @@
+#!/bin/bash
+
+export NUMA_PMAP=(2 2 2 3 3 3 2 2 2 3 3 3 )
+export NUMA_MAP=(0 0 0 1 1 1 0 0 0 1 1 1 )
+export  GPU_MAP=(0 1 2 3 4 5 0 1 2 3 4 5 )
+export TILE_MAP=(0 0 0 0 0 0 1 1 1 1 1 1 )
+
+export PNUMA=${NUMA_PMAP[$PALS_LOCAL_RANKID]}
+export NUMA=${NUMA_MAP[$PALS_LOCAL_RANKID]}
+export gpu_id=${GPU_MAP[$PALS_LOCAL_RANKID]}
+export tile_id=${TILE_MAP[$PALS_LOCAL_RANKID]}
+  
+
+export ZE_AFFINITY_MASK=$gpu_id.$tile_id
+export ONEAPI_DEVICE_FILTER=gpu,level_zero
+
+#unset EnableWalkerPartition
+#export EnableImplicitScaling=0
+#export GRID_MPICH_NIC_BIND=$NIC
+#export ONEAPI_DEVICE_SELECTOR=level_zero:$gpu_id.$tile_id
+#export ZE_ENABLE_PCI_ID_DEVICE_ORDER=1
+#export SYCL_PI_LEVEL_ZERO_DEVICE_SCOPE_EVENTS=0
+#export SYCL_PI_LEVEL_ZERO_USE_IMMEDIATE_COMMANDLISTS=1
+#export SYCL_PI_LEVEL_ZERO_USE_COPY_ENGINE=0:2
+#export SYCL_PI_LEVEL_ZERO_USE_COPY_ENGINE_FOR_D2D_COPY=1
+#export SYCL_PI_LEVEL_ZERO_USM_RESIDENT=1
+
+echo "rank $PALS_RANKID ; local rank $PALS_LOCAL_RANKID ; ZE_AFFINITY_MASK=$ZE_AFFINITY_MASK ; NUMA $NUMA "
+
+numactl -m $PNUMA -N $NUMA  "$@"

MPI_benchmark/halo_mpi.cc

@@ -0,0 +1,333 @@
+#include <cassert>
+#include <complex>
+#include <memory>
+#include <vector>
+#include <algorithm>
+#include <array>
+#include <string>
+#include <stdio.h>
+#include <stdlib.h>
+#include <strings.h>
+#include <ctime>
+#include <sys/time.h>
+
+#include <mpi.h>
+
+/**************************************************************
+ * GPU - GPU memory cartesian halo exchange benchmark
+ * Config: what is the target
+ **************************************************************
+ */
+#undef ACC_CUDA
+#undef  ACC_HIP
+#define  ACC_SYCL
+#undef  ACC_NONE
+
+/**************************************************************
+ * Some MPI globals
+ **************************************************************
+ */
+MPI_Comm WorldComm;
+MPI_Comm WorldShmComm;
+
+int WorldSize;
+int WorldRank;
+
+int WorldShmSize;
+int WorldShmRank;
+
+/**************************************************************
+ * Allocate buffers on the GPU, SYCL needs an init call and context
+ **************************************************************
+ */
+#ifdef ACC_CUDA
+#include <cuda.h>
+void acceleratorInit(void){}
+void *acceleratorAllocDevice(size_t bytes)
+{
+  void *ptr=NULL;
+  auto err = cudaMalloc((void **)&ptr,bytes);
+  assert(err==cudaSuccess);
+  return ptr;
+}
+void acceleratorFreeDevice(void *ptr){  cudaFree(ptr);}
+#endif
+#ifdef ACC_HIP
+#include <hip/hip_runtime.h>
+void acceleratorInit(void){}
+inline void *acceleratorAllocDevice(size_t bytes)
+{
+  void *ptr=NULL;
+  auto err = hipMalloc((void **)&ptr,bytes);
+  if( err != hipSuccess ) {
+    ptr = (void *) NULL;
+    printf(" hipMalloc failed for %ld %s \n",bytes,hipGetErrorString(err));
+  }
+  return ptr;
+};
+inline void acceleratorFreeDevice(void *ptr){ auto r=hipFree(ptr);};
+#endif
+#ifdef ACC_SYCL
+#include <sycl/CL/sycl.hpp>
+#include <sycl/usm.hpp>
+cl::sycl::queue *theAccelerator;
+void acceleratorInit(void)
+{
+  int nDevices = 1;
+#if 1
+  cl::sycl::gpu_selector selector;
+  cl::sycl::device selectedDevice { selector };
+  theAccelerator = new sycl::queue (selectedDevice);
+#else
+  cl::sycl::device selectedDevice {cl::sycl::gpu_selector_v  };
+  theAccelerator = new sycl::queue (selectedDevice);
+#endif
+  auto name = theAccelerator->get_device().get_info<sycl::info::device::name>();
+  printf("AcceleratorSyclInit: Selected device is %s\n",name.c_str()); fflush(stdout);
+}
+inline void *acceleratorAllocDevice(size_t bytes){ return malloc_device(bytes,*theAccelerator);};
+inline void acceleratorFreeDevice(void *ptr){free(ptr,*theAccelerator);};
+#endif
+#ifdef ACC_NONE
+void acceleratorInit(void){}
+inline void *acceleratorAllocDevice(size_t bytes){ return malloc(bytes);};
+inline void acceleratorFreeDevice(void *ptr){free(ptr);};
+#endif
+
+
+/**************************************************************
+ * Microsecond timer
+ **************************************************************
+ */
+inline double usecond(void) {
+  struct timeval tv;
+  gettimeofday(&tv,NULL);
+  return 1.0e6*tv.tv_sec + 1.0*tv.tv_usec;
+}
+/**************************************************************
+ * Main benchmark routine
+ **************************************************************
+ */
+void Benchmark(int64_t L,std::vector<int> cart_geom,bool use_device,int ncall)
+{
+  int64_t words = 3*4*2;
+  int64_t face,vol;
+  int Nd=cart_geom.size();
+  
+  /**************************************************************
+   * L^Nd volume, L^(Nd-1) faces, 12 complex per site
+   * Allocate memory for these
+   **************************************************************
+   */
+  face=1; for( int d=0;d<Nd-1;d++) face = face*L;
+  vol=1;  for( int d=0;d<Nd;d++) vol = vol*L;
+
+  
+  std::vector<void *> send_bufs;
+  std::vector<void *> recv_bufs;
+  size_t vw = face*words;
+  size_t bytes = face*words*sizeof(double);
+
+  if ( use_device ) {
+    for(int d=0;d<2*Nd;d++){
+      send_bufs.push_back(acceleratorAllocDevice(bytes));
+      recv_bufs.push_back(acceleratorAllocDevice(bytes));
+    }
+  } else {
+    for(int d=0;d<2*Nd;d++){
+      send_bufs.push_back(malloc(bytes));
+      recv_bufs.push_back(malloc(bytes));
+    }
+  }
+  /*********************************************************
+   * Build cartesian communicator
+   *********************************************************
+   */
+  int ierr;
+  int rank;
+  std::vector<int> coor(Nd);
+  MPI_Comm communicator;
+  std::vector<int> periodic(Nd,1);
+  MPI_Cart_create(WorldComm,Nd,&cart_geom[0],&periodic[0],0,&communicator);
+  MPI_Comm_rank(communicator,&rank);
+  MPI_Cart_coords(communicator,rank,Nd,&coor[0]);
+
+  static int reported;
+  if ( ! reported ) { 
+    printf("World Rank %d Shm Rank %d CartCoor %d %d %d %d\n",WorldRank,WorldShmRank,
+	 coor[0],coor[1],coor[2],coor[3]); fflush(stdout);
+    reported =1 ;
+  }
+  /*********************************************************
+   * Perform halo exchanges
+   *********************************************************
+   */
+  for(int d=0;d<Nd;d++){
+    if ( cart_geom[d]>1 ) {
+      double t0=usecond();
+
+      int from,to;
+      
+      MPI_Barrier(communicator);
+      for(int n=0;n<ncall;n++){
+	
+	void *xmit = (void *)send_bufs[d];
+	void *recv = (void *)recv_bufs[d];
+	
+	ierr=MPI_Cart_shift(communicator,d,1,&from,&to);
+	assert(ierr==0);
+	
+	ierr=MPI_Sendrecv(xmit,bytes,MPI_CHAR,to,rank,
+			  recv,bytes,MPI_CHAR,from, from,
+			  communicator,MPI_STATUS_IGNORE);
+	assert(ierr==0);
+	
+	xmit = (void *)send_bufs[Nd+d];
+	recv = (void *)recv_bufs[Nd+d];
+	
+	ierr=MPI_Cart_shift(communicator,d,-1,&from,&to);
+	assert(ierr==0);
+	
+	ierr=MPI_Sendrecv(xmit,bytes,MPI_CHAR,to,rank,
+			  recv,bytes,MPI_CHAR,from, from,
+			  communicator,MPI_STATUS_IGNORE);
+	assert(ierr==0);
+      }
+      MPI_Barrier(communicator);
+
+      double t1=usecond();
+      
+      double dbytes    = bytes*WorldShmSize;
+      double xbytes    = dbytes*2.0*ncall;
+      double rbytes    = xbytes;
+      double bidibytes = xbytes+rbytes;
+
+      if ( ! WorldRank ) {
+	printf("\t%12ld\t %12ld %16.0lf\n",L,bytes,bidibytes/(t1-t0)); fflush(stdout);
+      }
+    }
+  }
+  /*********************************************************
+   * Free memory
+   *********************************************************
+   */
+  if ( use_device ) {
+    for(int d=0;d<2*Nd;d++){
+      acceleratorFreeDevice(send_bufs[d]);
+      acceleratorFreeDevice(recv_bufs[d]);
+    }
+  } else {
+    for(int d=0;d<2*Nd;d++){
+      free(send_bufs[d]);
+      free(recv_bufs[d]);
+    }
+  }
+
+}
+
+/**************************************
+ * Command line junk
+ **************************************/
+
+std::string CmdOptionPayload(char ** begin, char ** end, const std::string & option)
+{
+  char ** itr = std::find(begin, end, option);
+  if (itr != end && ++itr != end) {
+    std::string payload(*itr);
+    return payload;
+  }
+  return std::string("");
+}
+bool CmdOptionExists(char** begin, char** end, const std::string& option)
+{
+  return std::find(begin, end, option) != end;
+}
+void CmdOptionIntVector(const std::string &str,std::vector<int> & vec)
+{
+  vec.resize(0);
+  std::stringstream ss(str);
+  int i;
+  while (ss >> i){
+    vec.push_back(i);
+    if(std::ispunct(ss.peek()))
+      ss.ignore();
+  }
+  return;
+}
+/**************************************
+ * Command line junk
+ **************************************/
+int main(int argc, char **argv)
+{
+  std::string arg;
+
+  acceleratorInit();
+
+  MPI_Init(&argc,&argv);
+
+  WorldComm = MPI_COMM_WORLD;
+  
+  MPI_Comm_split_type(WorldComm, MPI_COMM_TYPE_SHARED, 0, MPI_INFO_NULL,&WorldShmComm);
+
+  MPI_Comm_rank(WorldComm     ,&WorldRank);
+  MPI_Comm_size(WorldComm     ,&WorldSize);
+
+  MPI_Comm_rank(WorldShmComm     ,&WorldShmRank);
+  MPI_Comm_size(WorldShmComm     ,&WorldShmSize);
+
+  if ( WorldSize/WorldShmSize > 2) {
+    printf("This benchmark is meant to run on at most two nodes only\n");
+  }
+
+  auto mpi =std::vector<int>({1,1,1,1});
+
+  if( CmdOptionExists(argv,argv+argc,"--mpi") ){
+    arg = CmdOptionPayload(argv,argv+argc,"--mpi");
+    CmdOptionIntVector(arg,mpi);
+  } else {
+    printf("Must specify --mpi <n1.n2.n3.n4> command line argument\n");
+    exit(0);
+  }
+
+  if( !WorldRank ) {
+    printf("***********************************\n");
+    printf("%d ranks\n",WorldSize); 
+    printf("%d ranks-per-node\n",WorldShmSize);
+    printf("%d nodes\n",WorldSize/WorldShmSize);fflush(stdout);
+    printf("Cartesian layout: ");
+    for(int d=0;d<mpi.size();d++){
+      printf("%d ",mpi[d]);
+    }
+    printf("\n");fflush(stdout);
+    printf("***********************************\n");
+  }
+
+  
+  if( !WorldRank ) {
+    printf("=========================================================\n");
+    printf("= Benchmarking HOST memory MPI performance               \n");
+    printf("=========================================================\n");fflush(stdout);
+    printf("= L\t pkt bytes\t MB/s           \n");
+    printf("=========================================================\n");fflush(stdout);
+  }
+
+  for(int L=16;L<=64;L+=4){
+    Benchmark(L,mpi,false,100);
+  }  
+
+  if( !WorldRank ) {
+    printf("=========================================================\n");
+    printf("= Benchmarking DEVICE memory MPI performance             \n");
+    printf("=========================================================\n");fflush(stdout);
+  }
+  for(int L=16;L<=64;L+=4){
+    Benchmark(L,mpi,true,100);
+  }  
+
+  if( !WorldRank ) {
+    printf("=========================================================\n");
+    printf("= DONE   \n");
+    printf("=========================================================\n");
+  }
+  MPI_Finalize();
+}

benchmarks/Benchmark_ITT.cc

@@ -365,15 +365,9 @@ public:
     GridParallelRNG          RNG5(FGrid);  RNG5.SeedFixedIntegers(seeds5);
     std::cout << GridLogMessage << "Initialised RNGs" << std::endl;
 
-#if 1
     typedef DomainWallFermionF Action;
     typedef typename Action::FermionField Fermion;
     typedef LatticeGaugeFieldF Gauge;
-#else
-    typedef GparityDomainWallFermionF Action;
-    typedef typename Action::FermionField Fermion;
-    typedef LatticeGaugeFieldF Gauge;
-#endif
     
     ///////// Source preparation ////////////
     Gauge Umu(UGrid);  SU<Nc>::HotConfiguration(RNG4,Umu); 
@@ -641,170 +635,6 @@ public:
     std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
     return mflops_best;
   }
-
-  static double Laplace(int L)
-  {
-    double mflops;
-    double mflops_best = 0;
-    double mflops_worst= 0;
-    std::vector<double> mflops_all;
-
-    ///////////////////////////////////////////////////////
-    // Set/Get the layout & grid size
-    ///////////////////////////////////////////////////////
-    int threads = GridThread::GetThreads();
-    Coordinate mpi = GridDefaultMpi(); assert(mpi.size()==4);
-    Coordinate local({L,L,L,L});
-    Coordinate latt4({local[0]*mpi[0],local[1]*mpi[1],local[2]*mpi[2],local[3]*mpi[3]});
-    
-    GridCartesian         * TmpGrid   = SpaceTimeGrid::makeFourDimGrid(latt4,
-								       GridDefaultSimd(Nd,vComplex::Nsimd()),
-								       GridDefaultMpi());
-    uint64_t NP = TmpGrid->RankCount();
-    uint64_t NN = TmpGrid->NodeCount();
-    NN_global=NN;
-    uint64_t SHM=NP/NN;
-
-
-    ///////// Welcome message ////////////
-    std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
-    std::cout<<GridLogMessage << "Benchmark Laplace on "<<L<<"^4 local volume "<<std::endl;
-    std::cout<<GridLogMessage << "* Global volume  : "<<GridCmdVectorIntToString(latt4)<<std::endl;
-    std::cout<<GridLogMessage << "* ranks          : "<<NP  <<std::endl;
-    std::cout<<GridLogMessage << "* nodes          : "<<NN  <<std::endl;
-    std::cout<<GridLogMessage << "* ranks/node     : "<<SHM <<std::endl;
-    std::cout<<GridLogMessage << "* ranks geom     : "<<GridCmdVectorIntToString(mpi)<<std::endl;
-    std::cout<<GridLogMessage << "* Using "<<threads<<" threads"<<std::endl;
-    std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
-
-    ///////// Lattice Init ////////////
-    GridCartesian         * FGrid   = SpaceTimeGrid::makeFourDimGrid(latt4, GridDefaultSimd(Nd,vComplexF::Nsimd()),GridDefaultMpi());
-    GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(FGrid);
-    
-    ///////// RNG Init ////////////
-    std::vector<int> seeds4({1,2,3,4});
-    GridParallelRNG          RNG4(FGrid);  RNG4.SeedFixedIntegers(seeds4);
-    std::cout << GridLogMessage << "Initialised RNGs" << std::endl;
-
-    RealD mass=0.1;
-    RealD c1=9.0/8.0;
-    RealD c2=-1.0/24.0;
-    RealD u0=1.0;
-
-//    typedef ImprovedStaggeredFermionF Action;
-//    typedef typename Action::FermionField Fermion; 
-    typedef LatticeGaugeFieldF Gauge;
-    
-    Gauge Umu(FGrid);  SU<Nc>::HotConfiguration(RNG4,Umu); 
-
-//    typename Action::ImplParams params;
-//    Action Ds(Umu,Umu,*FGrid,*FrbGrid,mass,c1,c2,u0,params);
-
-//  PeriodicGimplF
-    typedef typename PeriodicGimplF::LinkField GaugeLinkFieldF;
-
-    ///////// Source preparation ////////////
-    GaugeLinkFieldF src   (FGrid); random(RNG4,src);
-//    GaugeLinkFieldF src_e (FrbGrid);
-//    GaugeLinkFieldF src_o (FrbGrid);
-//    GaugeLinkFieldF r_e   (FrbGrid);
-//    GaugeLinkFieldF r_o   (FrbGrid);
-    GaugeLinkFieldF r_eo  (FGrid);
-  
-    {
-
- //     pickCheckerboard(Even,src_e,src);
- //     pickCheckerboard(Odd,src_o,src);
-    
-      const int num_cases = 1;
-      std::string fmt("G/O/C  ");
-      
-      controls Cases [] = {
-	{  StaggeredKernelsStatic::OptGeneric   ,  StaggeredKernelsStatic::CommsAndCompute  ,CartesianCommunicator::CommunicatorPolicyConcurrent  },
-      }; 
-
-      for(int c=0;c<num_cases;c++) {
-        CovariantAdjointLaplacianStencil<PeriodicGimplF,typename PeriodicGimplF::LinkField> LapStencilF(FGrid);
-        QuadLinearOperator<CovariantAdjointLaplacianStencil<PeriodicGimplF,typename PeriodicGimplF::LinkField>,PeriodicGimplF::LinkField> QuadOpF(LapStencilF,c2,c1,1.);
-        LapStencilF.GaugeImport(Umu);
-	
-
-	StaggeredKernelsStatic::Comms = Cases[c].CommsOverlap;
-	StaggeredKernelsStatic::Opt   = Cases[c].Opt;
-	CartesianCommunicator::SetCommunicatorPolicy(Cases[c].CommsAsynch);
-      
-	std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
-	if ( StaggeredKernelsStatic::Opt == StaggeredKernelsStatic::OptGeneric   ) std::cout << GridLogMessage<< "* Using Stencil Nc Laplace" <<std::endl;
-	if ( StaggeredKernelsStatic::Comms == StaggeredKernelsStatic::CommsAndCompute ) std::cout << GridLogMessage<< "* Using Overlapped Comms/Compute" <<std::endl;
-	if ( StaggeredKernelsStatic::Comms == StaggeredKernelsStatic::CommsThenCompute) std::cout << GridLogMessage<< "* Using sequential Comms/Compute" <<std::endl;
-	std::cout << GridLogMessage<< "* SINGLE precision "<<std::endl;
-	std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
-	
-	int nwarm = 10;
-	double t0=usecond();
-	FGrid->Barrier();
-	for(int i=0;i<nwarm;i++){
-//	  Ds.DhopEO(src_o,r_e,DaggerNo);
-          QuadOpF.HermOp(src,r_eo);
-	}
-	FGrid->Barrier();
-	double t1=usecond();
-	uint64_t ncall = 500;
-
-	FGrid->Broadcast(0,&ncall,sizeof(ncall));
-
-	//	std::cout << GridLogMessage << " Estimate " << ncall << " calls per second"<<std::endl;
-
-	time_statistics timestat;
-	std::vector<double> t_time(ncall);
-	for(uint64_t i=0;i<ncall;i++){
-	  t0=usecond();
-//	  Ds.DhopEO(src_o,r_e,DaggerNo);
-          QuadOpF.HermOp(src,r_eo);
-	  t1=usecond();
-	  t_time[i] = t1-t0;
-	}
-	FGrid->Barrier();
-	
-	double volume=1;  for(int mu=0;mu<Nd;mu++) volume=volume*latt4[mu];
-//	double flops=(1146.0*volume)/2;
-	double flops=(2*2*8*216.0*volume);
-	double mf_hi, mf_lo, mf_err;
-	
-	timestat.statistics(t_time);
-	mf_hi = flops/timestat.min;
-	mf_lo = flops/timestat.max;
-	mf_err= flops/timestat.min * timestat.err/timestat.mean;
-
-	mflops = flops/timestat.mean;
-	mflops_all.push_back(mflops);
-	if ( mflops_best == 0   ) mflops_best = mflops;
-	if ( mflops_worst== 0   ) mflops_worst= mflops;
-	if ( mflops>mflops_best ) mflops_best = mflops;
-	if ( mflops<mflops_worst) mflops_worst= mflops;
-	
-	std::cout<<GridLogMessage << std::fixed << std::setprecision(1)<<"Quad mflop/s =   "<< mflops << " ("<<mf_err<<") " << mf_lo<<"-"<<mf_hi <<std::endl;
-	std::cout<<GridLogMessage << std::fixed << std::setprecision(1)<<"Quad mflop/s per rank   "<< mflops/NP<<std::endl;
-	std::cout<<GridLogMessage << std::fixed << std::setprecision(1)<<"Quad mflop/s per node   "<< mflops/NN<<std::endl;
-	FGrid->Barrier();
-      
-      }
-
-      std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
-      std::cout<<GridLogMessage << L<<"^4  Quad Best  mflop/s        =   "<< mflops_best << " ; " << mflops_best/NN<<" per node " <<std::endl;
-      std::cout<<GridLogMessage << L<<"^4  Quad Worst mflop/s        =   "<< mflops_worst<< " ; " << mflops_worst/NN<<" per node " <<std::endl;
-      std::cout<<GridLogMessage <<fmt << std::endl;
-      std::cout<<GridLogMessage ;
-	FGrid->Barrier();
-
-      for(int i=0;i<mflops_all.size();i++){
-	std::cout<<mflops_all[i]/NN<<" ; " ;
-      }
-      std::cout<<std::endl;
-    }
-    std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
-    return mflops_best;
-  }
 };
 
 
@@ -832,7 +662,6 @@ int main (int argc, char ** argv)
   std::vector<double> wilson;
   std::vector<double> dwf4;
   std::vector<double> staggered;
-  std::vector<double> lap;
 
   int Ls=1;
   std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
@@ -859,20 +688,12 @@ int main (int argc, char ** argv)
     staggered.push_back(result);
   }
 
-  std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
-  std::cout<<GridLogMessage << " Laplace QuadOp 4D " <<std::endl;
-  std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
-  for(int l=0;l<L_list.size();l++){
-    double result = Benchmark::Laplace(L_list[l]) ;
-    lap.push_back(result);
-  }
-
   std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
   std::cout<<GridLogMessage << " Summary table Ls="<<Ls <<std::endl;
   std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
-  std::cout<<GridLogMessage << "L \t\t Wilson \t\t DWF4 \t\t Staggered \t\t Quad Laplace" <<std::endl;
+  std::cout<<GridLogMessage << "L \t\t Wilson \t\t DWF4 \t\t Staggered" <<std::endl;
   for(int l=0;l<L_list.size();l++){
-    std::cout<<GridLogMessage << L_list[l] <<" \t\t "<< wilson[l]<<" \t\t "<<dwf4[l] << " \t\t "<< staggered[l]<< " \t\t "<< lap[l]<< std::endl;
+    std::cout<<GridLogMessage << L_list[l] <<" \t\t "<< wilson[l]<<" \t\t "<<dwf4[l] << " \t\t "<< staggered[l]<<std::endl;
   }
   std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
 

benchmarks/Benchmark_dwf_fp32.cc

@@ -90,11 +90,11 @@ int main (int argc, char ** argv)
   std::cout << GridLogMessage<< "++++++++++++++++++++++++++++++++++++++++++++++++" <<std::endl;
 
   for(int d=0;d<Nd;d++) CommDim[d]= (mpi[d]/shm[d])>1 ? 1 : 0;
-  Dirichlet[0] = 0;
+  //  Dirichlet[0] = 0;
-  Dirichlet[1] = CommDim[0]*latt4[0]/mpi[0] * shm[0];
+  //  Dirichlet[1] = CommDim[0]*latt4[0]/mpi[0] * shm[0];
-  Dirichlet[2] = CommDim[1]*latt4[1]/mpi[1] * shm[1];
+  //  Dirichlet[2] = CommDim[1]*latt4[1]/mpi[1] * shm[1];
-  Dirichlet[3] = CommDim[2]*latt4[2]/mpi[2] * shm[2];
+  //  Dirichlet[3] = CommDim[2]*latt4[2]/mpi[2] * shm[2];
-  Dirichlet[4] = CommDim[3]*latt4[3]/mpi[3] * shm[3];
+  //  Dirichlet[4] = CommDim[3]*latt4[3]/mpi[3] * shm[3];
 
   Benchmark(Ls,Dirichlet);
 
@@ -105,11 +105,11 @@ int main (int argc, char ** argv)
   std::cout << GridLogMessage<< "++++++++++++++++++++++++++++++++++++++++++++++++" <<std::endl;
 
   for(int d=0;d<Nd;d++) CommDim[d]= mpi[d]>1 ? 1 : 0;
-  Dirichlet[0] = 0;
+  //  Dirichlet[0] = 0;
-  Dirichlet[1] = CommDim[0]*latt4[0]/mpi[0];
+  //  Dirichlet[1] = CommDim[0]*latt4[0]/mpi[0];
-  Dirichlet[2] = CommDim[1]*latt4[1]/mpi[1];
+  //  Dirichlet[2] = CommDim[1]*latt4[1]/mpi[1];
-  Dirichlet[3] = CommDim[2]*latt4[2]/mpi[2];
+  //  Dirichlet[3] = CommDim[2]*latt4[2]/mpi[2];
-  Dirichlet[4] = CommDim[3]*latt4[3]/mpi[3];
+  //  Dirichlet[4] = CommDim[3]*latt4[3]/mpi[3];
   
   Benchmark(Ls,Dirichlet);
 
@@ -185,6 +185,7 @@ void Benchmark(int Ls, Coordinate Dirichlet)
   GaugeField Umu(UGrid);
   GaugeField UmuCopy(UGrid);
   SU<Nc>::HotConfiguration(RNG4,Umu);
+  //  SU<Nc>::ColdConfiguration(Umu);
   UmuCopy=Umu;
   std::cout << GridLogMessage << "Random gauge initialised " << std::endl;
 
@@ -307,6 +308,14 @@ void Benchmark(int Ls, Coordinate Dirichlet)
     if(( n2e>1.0e-4) ) {
       std::cout<<GridLogMessage << "WRONG RESULT" << std::endl;
       FGrid->Barrier();
+      std::cout<<GridLogMessage << "RESULT" << std::endl;
+      //      std::cout << result<<std::endl;
+      std::cout << norm2(result)<<std::endl;
+      std::cout<<GridLogMessage << "REF" << std::endl;
+      std::cout << norm2(ref)<<std::endl;
+      std::cout<<GridLogMessage << "ERR" << std::endl;
+      std::cout << norm2(err)<<std::endl;
+      FGrid->Barrier();
       exit(-1);
     }
     assert (n2e< 1.0e-4 );

benchmarks/Benchmark_usqcd.cc

@@ -0,0 +1,963 @@
+/*************************************************************************************
+
+    Grid physics library, www.github.com/paboyle/Grid 
+
+    Source file: ./benchmarks/Benchmark_usqcd.cc
+
+    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 */
+#include <Grid/Grid.h>
+#include <Grid/algorithms/blas/BatchedBlas.h>
+
+using namespace Grid;
+
+std::vector<int> L_list;
+std::vector<int> Ls_list;
+std::vector<double> mflop_list;
+
+double mflop_ref;
+double mflop_ref_err;
+
+int NN_global;
+
+FILE * FP;
+
+struct time_statistics{
+  double mean;
+  double err;
+  double min;
+  double max;
+
+  void statistics(std::vector<double> v){
+      double sum = std::accumulate(v.begin(), v.end(), 0.0);
+      mean = sum / v.size();
+
+      std::vector<double> diff(v.size());
+      std::transform(v.begin(), v.end(), diff.begin(), [=](double x) { return x - mean; });
+      double sq_sum = std::inner_product(diff.begin(), diff.end(), diff.begin(), 0.0);
+      err = std::sqrt(sq_sum / (v.size()*(v.size() - 1)));
+
+      auto result = std::minmax_element(v.begin(), v.end());
+      min = *result.first;
+      max = *result.second;
+}
+};
+
+void comms_header(){
+  std::cout <<GridLogMessage << " L  "<<"\t"<<" Ls  "<<"\t"
+            <<"bytes\t MB/s uni (err/min/max) \t\t MB/s bidi (err/min/max)"<<std::endl;
+};
+
+struct controls {
+  int Opt;
+  int CommsOverlap;
+  Grid::CartesianCommunicator::CommunicatorPolicy_t CommsAsynch;
+};
+
+class Benchmark {
+public:
+  static void Decomposition (void ) {
+
+    int threads = GridThread::GetThreads();
+    std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+    std::cout<<GridLogMessage << "= Grid is setup to use "<<threads<<" threads"<<std::endl;
+    std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+    std::cout<<GridLogMessage<<"Grid Default Decomposition patterns\n";
+    std::cout<<GridLogMessage<<"\tOpenMP threads : "<<GridThread::GetThreads()<<std::endl;
+    std::cout<<GridLogMessage<<"\tMPI tasks      : "<<GridCmdVectorIntToString(GridDefaultMpi())<<std::endl;
+    std::cout<<GridLogMessage<<"\tvReal          : "<<sizeof(vReal )*8    <<"bits ; " <<GridCmdVectorIntToString(GridDefaultSimd(4,vReal::Nsimd()))<<std::endl;
+    std::cout<<GridLogMessage<<"\tvRealF         : "<<sizeof(vRealF)*8    <<"bits ; " <<GridCmdVectorIntToString(GridDefaultSimd(4,vRealF::Nsimd()))<<std::endl;
+    std::cout<<GridLogMessage<<"\tvRealD         : "<<sizeof(vRealD)*8    <<"bits ; " <<GridCmdVectorIntToString(GridDefaultSimd(4,vRealD::Nsimd()))<<std::endl;
+    std::cout<<GridLogMessage<<"\tvComplex       : "<<sizeof(vComplex )*8 <<"bits ; " <<GridCmdVectorIntToString(GridDefaultSimd(4,vComplex::Nsimd()))<<std::endl;
+    std::cout<<GridLogMessage<<"\tvComplexF      : "<<sizeof(vComplexF)*8 <<"bits ; " <<GridCmdVectorIntToString(GridDefaultSimd(4,vComplexF::Nsimd()))<<std::endl;
+    std::cout<<GridLogMessage<<"\tvComplexD      : "<<sizeof(vComplexD)*8 <<"bits ; " <<GridCmdVectorIntToString(GridDefaultSimd(4,vComplexD::Nsimd()))<<std::endl;
+    std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+
+  }
+
+  static void Comms(void)
+  {
+    int Nloop=200;
+    int nmu=0;
+    int maxlat=32;
+
+    Coordinate simd_layout = GridDefaultSimd(Nd,vComplexD::Nsimd());
+    Coordinate mpi_layout  = GridDefaultMpi();
+
+    for(int mu=0;mu<Nd;mu++) if (mpi_layout[mu]>1) nmu++;
+
+    std::vector<double> t_time(Nloop);
+    time_statistics timestat;
+
+    std::cout<<GridLogMessage << "===================================================================================================="<<std::endl;
+    std::cout<<GridLogMessage << "= Benchmarking threaded STENCIL halo exchange in "<<nmu<<" dimensions"<<std::endl;
+    std::cout<<GridLogMessage << "===================================================================================================="<<std::endl;
+    comms_header();
+
+    fprintf(FP,"Communications\n\n");
+    fprintf(FP,"Packet bytes, direction, GB/s per node\n");
+    for(int lat=16;lat<=maxlat;lat+=8){
+      //      for(int Ls=8;Ls<=8;Ls*=2){
+      { int Ls=12;
+
+	Coordinate latt_size  ({lat*mpi_layout[0],
+	      lat*mpi_layout[1],
+	      lat*mpi_layout[2],
+	      lat*mpi_layout[3]});
+
+	GridCartesian     Grid(latt_size,simd_layout,mpi_layout);
+	RealD Nrank = Grid._Nprocessors;
+	RealD Nnode = Grid.NodeCount();
+	RealD ppn = Nrank/Nnode;
+
+	std::vector<HalfSpinColourVectorD *> xbuf(8);
+	std::vector<HalfSpinColourVectorD *> rbuf(8);
+	//Grid.ShmBufferFreeAll();
+	uint64_t bytes=lat*lat*lat*Ls*sizeof(HalfSpinColourVectorD);
+	for(int d=0;d<8;d++){
+	  xbuf[d] = (HalfSpinColourVectorD *)acceleratorAllocDevice(bytes);
+	  rbuf[d] = (HalfSpinColourVectorD *)acceleratorAllocDevice(bytes);
+	  //	  bzero((void *)xbuf[d],lat*lat*lat*Ls*sizeof(HalfSpinColourVectorD));
+	  //	  bzero((void *)rbuf[d],lat*lat*lat*Ls*sizeof(HalfSpinColourVectorD));
+	}
+
+	//	int ncomm;
+	double dbytes;
+
+        for(int dir=0;dir<8;dir++) {
+	  int mu =dir % 4;
+	  if (mpi_layout[mu]>1 ) {
+
+	    std::vector<double> times(Nloop);
+	    for(int i=0;i<Nloop;i++){
+
+	      dbytes=0;	        
+	      double start=usecond();
+	      int xmit_to_rank;
+	      int recv_from_rank;
+
+	      if ( dir == mu ) { 
+		int comm_proc=1;
+		Grid.ShiftedRanks(mu,comm_proc,xmit_to_rank,recv_from_rank);
+	      } else { 
+		int comm_proc = mpi_layout[mu]-1;
+		Grid.ShiftedRanks(mu,comm_proc,xmit_to_rank,recv_from_rank);
+	      }
+	      Grid.SendToRecvFrom((void *)&xbuf[dir][0], xmit_to_rank,
+				  (void *)&rbuf[dir][0], recv_from_rank,
+				  bytes);
+	      dbytes+=bytes;
+	     
+	      double stop=usecond();
+	      t_time[i] = stop-start; // microseconds
+
+	    }
+	    timestat.statistics(t_time);
+	  
+	    dbytes=dbytes*ppn;
+	    double xbytes    = dbytes*0.5;
+	    double bidibytes = dbytes;
+	  
+	    std::cout<<GridLogMessage << lat<<"\t"<<Ls<<"\t "
+		     << bytes << " \t "
+		     <<xbytes/timestat.mean<<" \t "<< xbytes*timestat.err/(timestat.mean*timestat.mean)<< " \t "
+		     <<xbytes/timestat.max <<" "<< xbytes/timestat.min  
+		     << "\t\t"<< bidibytes/timestat.mean<< "  " << bidibytes*timestat.err/(timestat.mean*timestat.mean) << " "
+		     << bidibytes/timestat.max << " " << bidibytes/timestat.min << std::endl;
+	    fprintf(FP,"%ld, %d, %f\n",(long)bytes,dir,bidibytes/timestat.mean/1000.);
+	  }
+	}
+	for(int d=0;d<8;d++){
+	  acceleratorFreeDevice(xbuf[d]);
+	  acceleratorFreeDevice(rbuf[d]);
+	}
+      }
+    }
+    fprintf(FP,"\n\n");
+    
+    return;
+  }
+
+  
+  static void Memory(void)
+  {
+    const int Nvec=8;
+    typedef Lattice< iVector< vReal,Nvec> > LatticeVec;
+    typedef iVector<vReal,Nvec> Vec;
+
+    Coordinate simd_layout = GridDefaultSimd(Nd,vReal::Nsimd());
+    Coordinate mpi_layout  = GridDefaultMpi();
+
+    fprintf(FP,"Memory Bandwidth\n\n");
+    fprintf(FP,"Bytes, GB/s per node\n");
+    std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+    std::cout<<GridLogMessage << "= Benchmarking a*x + y bandwidth"<<std::endl;
+    std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+    std::cout<<GridLogMessage << "  L  "<<"\t\t"<<"bytes"<<"\t\t\t"<<"GB/s"<<"\t\t"<<"Gflop/s"<<"\t\t seconds"<< "\t\tGB/s / node"<<std::endl;
+    std::cout<<GridLogMessage << "----------------------------------------------------------"<<std::endl;
+  
+    //    uint64_t NP;
+    uint64_t NN;
+
+
+  uint64_t lmax=32;
+#define NLOOP (1000*lmax*lmax*lmax*lmax/lat/lat/lat/lat)
+
+    GridSerialRNG          sRNG;      sRNG.SeedFixedIntegers(std::vector<int>({45,12,81,9}));
+    for(int lat=8;lat<=lmax;lat+=8){
+
+      Coordinate latt_size  ({lat*mpi_layout[0],lat*mpi_layout[1],lat*mpi_layout[2],lat*mpi_layout[3]});
+      int64_t vol= latt_size[0]*latt_size[1]*latt_size[2]*latt_size[3];
+
+      GridCartesian     Grid(latt_size,simd_layout,mpi_layout);
+
+      //      NP= Grid.RankCount();
+      NN =Grid.NodeCount();
+
+      Vec rn ; random(sRNG,rn);
+
+      LatticeVec z(&Grid); z=Zero();
+      LatticeVec x(&Grid); x=Zero();
+      LatticeVec y(&Grid); y=Zero();
+      double a=2.0;
+
+      uint64_t Nloop=NLOOP;
+
+      double start=usecond();
+      for(int i=0;i<Nloop;i++){
+	z=a*x-y;
+      }
+      double stop=usecond();
+      double time = (stop-start)/Nloop*1000;
+     
+      double flops=vol*Nvec*2;// mul,add
+      double bytes=3.0*vol*Nvec*sizeof(Real);
+      std::cout<<GridLogMessage<<std::setprecision(3) 
+	       << lat<<"\t\t"<<bytes<<"   \t\t"<<bytes/time<<"\t\t"<<flops/time<<"\t\t"<<(stop-start)/1000./1000.
+	       << "\t\t"<< bytes/time/NN <<std::endl;
+
+      fprintf(FP,"%ld, %f\n",(long)bytes,bytes/time/NN/1000.);
+
+    }
+    fprintf(FP,"\n\n");
+  };
+
+
+  static void BLAS(void)
+  {
+    //int nbasis, int nrhs, int coarseVol
+    int  basis[] = { 16,32,64 };
+    int  rhs[]   = { 8,16,32 };
+    int  vols[]  = { 4*4*4*4, 8*8*8*8, 8*8*16*16 };
+
+    GridBLAS blas;
+    
+    std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+    std::cout<<GridLogMessage << "= batched GEMM (double precision) "<<std::endl;
+    std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+    std::cout<<GridLogMessage << "  M  "<<"\t\t"<<"N"<<"\t\t\t"<<"K"<<"\t\t"<<"Gflop/s / node (coarse mrhs)"<<std::endl;
+    std::cout<<GridLogMessage << "----------------------------------------------------------"<<std::endl;
+  
+    fprintf(FP,"GEMM\n\n M, N, K, BATCH, GF/s per rank\n");
+
+    for(int b=0;b<3;b++){
+    for(int r=0;r<3;r++){
+    for(int v=0;v<3;v++){
+      int M=basis[b];
+      int N=rhs[r];
+      int K=basis[b];
+      int BATCH=vols[v];
+      double p=blas.benchmark(M,rhs[r],vols[v],1);
+
+      fprintf(FP,"%d, %d, %d, %d, %f\n", M, N, K, BATCH, p);
+      
+      std::cout<<GridLogMessage<<std::setprecision(3) 
+	       << M<<"\t\t"<<N<<"\t\t"<<K<<"\t\t"<<BATCH<<"\t\t"<<p<<std::endl;
+    }}}
+    std::cout<<GridLogMessage << "----------------------------------------------------------"<<std::endl;
+    std::cout<<GridLogMessage << "  M  "<<"\t\t"<<"N"<<"\t\t\t"<<"K"<<"\t\t"<<"Gflop/s / node (block project)"<<std::endl;
+    std::cout<<GridLogMessage << "----------------------------------------------------------"<<std::endl;
+    for(int b=0;b<3;b++){
+    for(int r=0;r<3;r++){
+    for(int v=0;v<2;v++){
+      int M=basis[b];
+      int N=rhs[r];
+      int K=vols[2];
+      int BATCH=vols[v];
+      double p=blas.benchmark(M,rhs[r],vols[v],1);
+
+      fprintf(FP,"%d, %d, %d, %d, %f\n", M, N, K, BATCH, p);
+      std::cout<<GridLogMessage<<std::setprecision(3) 
+	       << M<<"\t\t"<<N<<"\t\t"<<K<<"\t\t"<<BATCH<<"\t\t"<<p<<std::endl;
+    }}}
+    std::cout<<GridLogMessage << "----------------------------------------------------------"<<std::endl;
+    std::cout<<GridLogMessage << "  M  "<<"\t\t"<<"N"<<"\t\t\t"<<"K"<<"\t\t"<<"Gflop/s / node (block promote)"<<std::endl;
+    std::cout<<GridLogMessage << "----------------------------------------------------------"<<std::endl;
+    for(int b=0;b<3;b++){
+    for(int r=0;r<3;r++){
+    for(int v=0;v<2;v++){
+      int M=rhs[r];
+      int N=vols[2];
+      int K=basis[b];
+      int BATCH=vols[v];
+      double p=blas.benchmark(M,rhs[r],vols[v],1);
+
+      fprintf(FP,"%d, %d, %d, %d, %f\n", M, N, K, BATCH, p);
+      std::cout<<GridLogMessage<<std::setprecision(3) 
+	       << M<<"\t\t"<<N<<"\t\t"<<K<<"\t\t"<<BATCH<<"\t\t"<<p<<std::endl;
+    }}}
+    fprintf(FP,"\n\n\n");
+    std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+  };
+  
+
+  static void SU4(void)
+  {
+    const int Nc4=4;
+    typedef Lattice< iMatrix< vComplexF,Nc4> > LatticeSU4;
+
+    Coordinate simd_layout = GridDefaultSimd(Nd,vComplexF::Nsimd());
+    Coordinate mpi_layout  = GridDefaultMpi();
+    
+    std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+    std::cout<<GridLogMessage << "= Benchmarking z = y*x SU(4) bandwidth"<<std::endl;
+    std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+    std::cout<<GridLogMessage << "  L  "<<"\t\t"<<"bytes"<<"\t\t\t"<<"GB/s"<<"\t\t"<<"Gflop/s"<<"\t\t seconds"<< "\t\tGB/s / node"<<std::endl;
+    std::cout<<GridLogMessage << "----------------------------------------------------------"<<std::endl;
+  
+    uint64_t NN;
+
+
+    uint64_t lmax=32;
+
+    GridSerialRNG          sRNG;      sRNG.SeedFixedIntegers(std::vector<int>({45,12,81,9}));
+    for(int lat=8;lat<=lmax;lat+=8){
+
+      Coordinate latt_size  ({lat*mpi_layout[0],lat*mpi_layout[1],lat*mpi_layout[2],lat*mpi_layout[3]});
+      int64_t vol= latt_size[0]*latt_size[1]*latt_size[2]*latt_size[3];
+
+      GridCartesian     Grid(latt_size,simd_layout,mpi_layout);
+
+      NN =Grid.NodeCount();
+
+
+      LatticeSU4 z(&Grid); z=Zero();
+      LatticeSU4 x(&Grid); x=Zero();
+      LatticeSU4 y(&Grid); y=Zero();
+      //      double a=2.0;
+
+      uint64_t Nloop=NLOOP;
+
+      double start=usecond();
+      for(int i=0;i<Nloop;i++){
+	z=x*y;
+      }
+      double stop=usecond();
+      double time = (stop-start)/Nloop*1000;
+     
+      double flops=vol*Nc4*Nc4*(6+(Nc4-1)*8);// mul,add
+      double bytes=3.0*vol*Nc4*Nc4*2*sizeof(RealF);
+      std::cout<<GridLogMessage<<std::setprecision(3) 
+	       << lat<<"\t\t"<<bytes<<"   \t\t"<<bytes/time<<"\t\t"<<flops/time<<"\t\t"<<(stop-start)/1000./1000.
+	       << "\t\t"<< bytes/time/NN <<std::endl;
+
+    }
+  };
+
+
+  static double DWF(int Ls,int L)
+  {
+    RealD mass=0.1;
+    RealD M5  =1.8;
+
+    double mflops;
+    double mflops_best = 0;
+    double mflops_worst= 0;
+    std::vector<double> mflops_all;
+
+    ///////////////////////////////////////////////////////
+    // Set/Get the layout & grid size
+    ///////////////////////////////////////////////////////
+    int threads = GridThread::GetThreads();
+    Coordinate mpi = GridDefaultMpi(); assert(mpi.size()==4);
+    Coordinate local({L,L,L,L});
+    Coordinate latt4({local[0]*mpi[0],local[1]*mpi[1],local[2]*mpi[2],local[3]*mpi[3]});
+
+    GridCartesian         * TmpGrid   = SpaceTimeGrid::makeFourDimGrid(latt4, 
+								       GridDefaultSimd(Nd,vComplex::Nsimd()),
+								       GridDefaultMpi());
+    uint64_t NP = TmpGrid->RankCount();
+    uint64_t NN = TmpGrid->NodeCount();
+    NN_global=NN;
+    uint64_t SHM=NP/NN;
+
+
+    ///////// Welcome message ////////////
+    std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+    std::cout<<GridLogMessage << "Benchmark DWF on "<<L<<"^4 local volume "<<std::endl;
+    std::cout<<GridLogMessage << "* Nc             : "<<Nc<<std::endl;
+    std::cout<<GridLogMessage << "* Global volume  : "<<GridCmdVectorIntToString(latt4)<<std::endl;
+    std::cout<<GridLogMessage << "* Ls             : "<<Ls<<std::endl;
+    std::cout<<GridLogMessage << "* ranks          : "<<NP  <<std::endl;
+    std::cout<<GridLogMessage << "* nodes          : "<<NN  <<std::endl;
+    std::cout<<GridLogMessage << "* ranks/node     : "<<SHM <<std::endl;
+    std::cout<<GridLogMessage << "* ranks geom     : "<<GridCmdVectorIntToString(mpi)<<std::endl;
+    std::cout<<GridLogMessage << "* Using "<<threads<<" threads"<<std::endl;
+    std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+
+    ///////// Lattice Init ////////////
+    GridCartesian         * UGrid   = SpaceTimeGrid::makeFourDimGrid(latt4, GridDefaultSimd(Nd,vComplexF::Nsimd()),GridDefaultMpi());
+    GridRedBlackCartesian * UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
+    GridCartesian         * FGrid   = SpaceTimeGrid::makeFiveDimGrid(Ls,UGrid);
+    GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGrid);
+
+    
+    ///////// RNG Init ////////////
+    std::vector<int> seeds4({1,2,3,4});
+    std::vector<int> seeds5({5,6,7,8});
+    GridParallelRNG          RNG4(UGrid);  RNG4.SeedFixedIntegers(seeds4);
+    GridParallelRNG          RNG5(FGrid);  RNG5.SeedFixedIntegers(seeds5);
+    std::cout << GridLogMessage << "Initialised RNGs" << std::endl;
+
+    typedef DomainWallFermionF Action;
+    typedef typename Action::FermionField Fermion;
+    typedef LatticeGaugeFieldF Gauge;
+    
+    ///////// Source preparation ////////////
+    Gauge Umu(UGrid);  SU<Nc>::HotConfiguration(RNG4,Umu); 
+    Fermion src   (FGrid); random(RNG5,src);
+    Fermion src_e (FrbGrid);
+    Fermion src_o (FrbGrid);
+    Fermion r_e   (FrbGrid);
+    Fermion r_o   (FrbGrid);
+    Fermion r_eo  (FGrid);
+    Action Dw(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5);
+
+    {
+
+      pickCheckerboard(Even,src_e,src);
+      pickCheckerboard(Odd,src_o,src);
+
+      const int num_cases = 1;
+      std::string fmt("G/S/C ; G/O/C ; G/S/S ; G/O/S ");
+
+      controls Cases [] = {
+	{  WilsonKernelsStatic::OptGeneric   ,  WilsonKernelsStatic::CommsAndCompute  ,CartesianCommunicator::CommunicatorPolicyConcurrent }
+      }; 
+
+      for(int c=0;c<num_cases;c++) {
+	
+	WilsonKernelsStatic::Comms = Cases[c].CommsOverlap;
+	WilsonKernelsStatic::Opt   = Cases[c].Opt;
+	CartesianCommunicator::SetCommunicatorPolicy(Cases[c].CommsAsynch);
+
+	std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+	if ( WilsonKernelsStatic::Opt == WilsonKernelsStatic::OptGeneric   ) std::cout << GridLogMessage<< "* Using GENERIC Nc WilsonKernels" <<std::endl;
+	std::cout << GridLogMessage<< "* SINGLE precision "<<std::endl;
+	std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+
+	int nwarm = 10;
+	double t0=usecond();
+	FGrid->Barrier();
+	for(int i=0;i<nwarm;i++){
+	  Dw.DhopEO(src_o,r_e,DaggerNo);
+	}
+	FGrid->Barrier();
+	double t1=usecond();
+	uint64_t ncall = 500;
+
+	FGrid->Broadcast(0,&ncall,sizeof(ncall));
+
+	//	std::cout << GridLogMessage << " Estimate " << ncall << " calls per second"<<std::endl;
+
+	time_statistics timestat;
+	std::vector<double> t_time(ncall);
+	for(uint64_t i=0;i<ncall;i++){
+	  t0=usecond();
+	  Dw.DhopEO(src_o,r_e,DaggerNo);
+	  t1=usecond();
+	  t_time[i] = t1-t0;
+	}
+	FGrid->Barrier();
+	
+	double volume=Ls;  for(int mu=0;mu<Nd;mu++) volume=volume*latt4[mu];
+
+	// Nc=3 gives
+	// 1344= 3*(2*8+6)*2*8 + 8*3*2*2 + 3*4*2*8
+	// 1344 = Nc* (6+(Nc-1)*8)*2*Nd + Nd*Nc*2*2  + Nd*Nc*Ns*2
+	//	double flops=(1344.0*volume)/2;
+	double fps = Nc* (6+(Nc-1)*8)*Ns*Nd + 2*Nd*Nc*Ns  + 2*Nd*Nc*Ns*2;
+
+	double flops=(fps*volume)/2;
+	double mf_hi, mf_lo, mf_err;
+
+	timestat.statistics(t_time);
+	mf_hi = flops/timestat.min;
+	mf_lo = flops/timestat.max;
+	mf_err= flops/timestat.min * timestat.err/timestat.mean;
+
+	mflops = flops/timestat.mean;
+	mflops_all.push_back(mflops);
+	if ( mflops_best == 0   ) mflops_best = mflops;
+	if ( mflops_worst== 0   ) mflops_worst= mflops;
+	if ( mflops>mflops_best ) mflops_best = mflops;
+	if ( mflops<mflops_worst) mflops_worst= mflops;
+
+	std::cout<<GridLogMessage<< "Deo FlopsPerSite is "<<fps<<std::endl;
+	std::cout<<GridLogMessage << std::fixed << std::setprecision(1)<<"Deo mflop/s =   "<< mflops << " ("<<mf_err<<") " << mf_lo<<"-"<<mf_hi <<std::endl;
+	std::cout<<GridLogMessage << std::fixed << std::setprecision(1)<<"Deo mflop/s per rank   "<< mflops/NP<<std::endl;
+	std::cout<<GridLogMessage << std::fixed << std::setprecision(1)<<"Deo mflop/s per node   "<< mflops/NN<<std::endl;
+
+      }
+
+      std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+      std::cout<<GridLogMessage << L<<"^4 x "<<Ls<< " Deo Best  mflop/s        =   "<< mflops_best << " ; " << mflops_best/NN<<" per node " <<std::endl;
+      std::cout<<GridLogMessage << L<<"^4 x "<<Ls<< " Deo Worst mflop/s        =   "<< mflops_worst<< " ; " << mflops_worst/NN<<" per node " <<std::endl;
+      std::cout<<GridLogMessage <<fmt << std::endl;
+      std::cout<<GridLogMessage ;
+
+      for(int i=0;i<mflops_all.size();i++){
+	std::cout<<mflops_all[i]/NN<<" ; " ;
+      }
+      std::cout<<std::endl;
+      std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+
+    }
+    return mflops_best;
+  }
+
+
+  static double Staggered(int L)
+  {
+    double mflops;
+    double mflops_best = 0;
+    double mflops_worst= 0;
+    std::vector<double> mflops_all;
+
+    ///////////////////////////////////////////////////////
+    // Set/Get the layout & grid size
+    ///////////////////////////////////////////////////////
+    int threads = GridThread::GetThreads();
+    Coordinate mpi = GridDefaultMpi(); assert(mpi.size()==4);
+    Coordinate local({L,L,L,L});
+    Coordinate latt4({local[0]*mpi[0],local[1]*mpi[1],local[2]*mpi[2],local[3]*mpi[3]});
+    
+    GridCartesian         * TmpGrid   = SpaceTimeGrid::makeFourDimGrid(latt4,
+								       GridDefaultSimd(Nd,vComplex::Nsimd()),
+								       GridDefaultMpi());
+    uint64_t NP = TmpGrid->RankCount();
+    uint64_t NN = TmpGrid->NodeCount();
+    NN_global=NN;
+    uint64_t SHM=NP/NN;
+
+
+    ///////// Welcome message ////////////
+    std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+    std::cout<<GridLogMessage << "Benchmark ImprovedStaggered on "<<L<<"^4 local volume "<<std::endl;
+    std::cout<<GridLogMessage << "* Global volume  : "<<GridCmdVectorIntToString(latt4)<<std::endl;
+    std::cout<<GridLogMessage << "* ranks          : "<<NP  <<std::endl;
+    std::cout<<GridLogMessage << "* nodes          : "<<NN  <<std::endl;
+    std::cout<<GridLogMessage << "* ranks/node     : "<<SHM <<std::endl;
+    std::cout<<GridLogMessage << "* ranks geom     : "<<GridCmdVectorIntToString(mpi)<<std::endl;
+    std::cout<<GridLogMessage << "* Using "<<threads<<" threads"<<std::endl;
+    std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+
+    ///////// Lattice Init ////////////
+    GridCartesian         * FGrid   = SpaceTimeGrid::makeFourDimGrid(latt4, GridDefaultSimd(Nd,vComplexF::Nsimd()),GridDefaultMpi());
+    GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(FGrid);
+    
+    ///////// RNG Init ////////////
+    std::vector<int> seeds4({1,2,3,4});
+    GridParallelRNG          RNG4(FGrid);  RNG4.SeedFixedIntegers(seeds4);
+    std::cout << GridLogMessage << "Initialised RNGs" << std::endl;
+
+    RealD mass=0.1;
+    RealD c1=9.0/8.0;
+    RealD c2=-1.0/24.0;
+    RealD u0=1.0;
+
+    typedef ImprovedStaggeredFermionF Action;
+    typedef typename Action::FermionField Fermion; 
+    typedef LatticeGaugeFieldF Gauge;
+    
+    Gauge Umu(FGrid);  SU<Nc>::HotConfiguration(RNG4,Umu); 
+
+    typename Action::ImplParams params;
+    Action Ds(Umu,Umu,*FGrid,*FrbGrid,mass,c1,c2,u0,params);
+
+    ///////// Source preparation ////////////
+    Fermion src   (FGrid); random(RNG4,src);
+    Fermion src_e (FrbGrid);
+    Fermion src_o (FrbGrid);
+    Fermion r_e   (FrbGrid);
+    Fermion r_o   (FrbGrid);
+    Fermion r_eo  (FGrid);
+  
+    {
+
+      pickCheckerboard(Even,src_e,src);
+      pickCheckerboard(Odd,src_o,src);
+    
+      const int num_cases = 1;
+      std::string fmt("G/S/C ; G/O/C ; G/S/S ; G/O/S ");
+      
+      controls Cases [] = {
+	{  StaggeredKernelsStatic::OptGeneric   ,  StaggeredKernelsStatic::CommsAndCompute  ,CartesianCommunicator::CommunicatorPolicyConcurrent  },
+      }; 
+
+      for(int c=0;c<num_cases;c++) {
+	
+	StaggeredKernelsStatic::Comms = Cases[c].CommsOverlap;
+	StaggeredKernelsStatic::Opt   = Cases[c].Opt;
+	CartesianCommunicator::SetCommunicatorPolicy(Cases[c].CommsAsynch);
+      
+	std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+	if ( StaggeredKernelsStatic::Opt == StaggeredKernelsStatic::OptGeneric   ) std::cout << GridLogMessage<< "* Using GENERIC Nc StaggeredKernels" <<std::endl;
+	std::cout << GridLogMessage<< "* SINGLE precision "<<std::endl;
+	std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+	
+	int nwarm = 10;
+	double t0=usecond();
+	FGrid->Barrier();
+	for(int i=0;i<nwarm;i++){
+	  Ds.DhopEO(src_o,r_e,DaggerNo);
+	}
+	FGrid->Barrier();
+	double t1=usecond();
+	uint64_t ncall = 500;
+
+	FGrid->Broadcast(0,&ncall,sizeof(ncall));
+
+	//	std::cout << GridLogMessage << " Estimate " << ncall << " calls per second"<<std::endl;
+
+	time_statistics timestat;
+	std::vector<double> t_time(ncall);
+	for(uint64_t i=0;i<ncall;i++){
+	  t0=usecond();
+	  Ds.DhopEO(src_o,r_e,DaggerNo);
+	  t1=usecond();
+	  t_time[i] = t1-t0;
+	}
+	FGrid->Barrier();
+	
+	double volume=1;  for(int mu=0;mu<Nd;mu++) volume=volume*latt4[mu];
+	double flops=(1146.0*volume)/2;
+	double mf_hi, mf_lo, mf_err;
+	
+	timestat.statistics(t_time);
+	mf_hi = flops/timestat.min;
+	mf_lo = flops/timestat.max;
+	mf_err= flops/timestat.min * timestat.err/timestat.mean;
+
+	mflops = flops/timestat.mean;
+	mflops_all.push_back(mflops);
+	if ( mflops_best == 0   ) mflops_best = mflops;
+	if ( mflops_worst== 0   ) mflops_worst= mflops;
+	if ( mflops>mflops_best ) mflops_best = mflops;
+	if ( mflops<mflops_worst) mflops_worst= mflops;
+	
+	std::cout<<GridLogMessage << std::fixed << std::setprecision(1)<<"Deo mflop/s =   "<< mflops << " ("<<mf_err<<") " << mf_lo<<"-"<<mf_hi <<std::endl;
+	std::cout<<GridLogMessage << std::fixed << std::setprecision(1)<<"Deo mflop/s per rank   "<< mflops/NP<<std::endl;
+	std::cout<<GridLogMessage << std::fixed << std::setprecision(1)<<"Deo mflop/s per node   "<< mflops/NN<<std::endl;
+      
+      }
+
+      std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+      std::cout<<GridLogMessage << L<<"^4  Deo Best  mflop/s        =   "<< mflops_best << " ; " << mflops_best/NN<<" per node " <<std::endl;
+      std::cout<<GridLogMessage << L<<"^4  Deo Worst mflop/s        =   "<< mflops_worst<< " ; " << mflops_worst/NN<<" per node " <<std::endl;
+      std::cout<<GridLogMessage <<fmt << std::endl;
+      std::cout<<GridLogMessage ;
+
+      for(int i=0;i<mflops_all.size();i++){
+	std::cout<<mflops_all[i]/NN<<" ; " ;
+      }
+      std::cout<<std::endl;
+    }
+    std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+    return mflops_best;
+  }
+
+  static double Clover(int L)
+  {
+    double mflops;
+    double mflops_best = 0;
+    double mflops_worst= 0;
+    std::vector<double> mflops_all;
+
+    ///////////////////////////////////////////////////////
+    // Set/Get the layout & grid size
+    ///////////////////////////////////////////////////////
+    int threads = GridThread::GetThreads();
+    Coordinate mpi = GridDefaultMpi(); assert(mpi.size()==4);
+    Coordinate local({L,L,L,L});
+    Coordinate latt4({local[0]*mpi[0],local[1]*mpi[1],local[2]*mpi[2],local[3]*mpi[3]});
+    
+    GridCartesian         * TmpGrid   = SpaceTimeGrid::makeFourDimGrid(latt4,
+								       GridDefaultSimd(Nd,vComplex::Nsimd()),
+								       GridDefaultMpi());
+    uint64_t NP = TmpGrid->RankCount();
+    uint64_t NN = TmpGrid->NodeCount();
+    NN_global=NN;
+    uint64_t SHM=NP/NN;
+
+
+    ///////// Welcome message ////////////
+    std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+    std::cout<<GridLogMessage << "Benchmark Clover on "<<L<<"^4 local volume "<<std::endl;
+    std::cout<<GridLogMessage << "* Global volume  : "<<GridCmdVectorIntToString(latt4)<<std::endl;
+    std::cout<<GridLogMessage << "* ranks          : "<<NP  <<std::endl;
+    std::cout<<GridLogMessage << "* nodes          : "<<NN  <<std::endl;
+    std::cout<<GridLogMessage << "* ranks/node     : "<<SHM <<std::endl;
+    std::cout<<GridLogMessage << "* ranks geom     : "<<GridCmdVectorIntToString(mpi)<<std::endl;
+    std::cout<<GridLogMessage << "* Using "<<threads<<" threads"<<std::endl;
+    std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+
+    ///////// Lattice Init ////////////
+    GridCartesian         * FGrid   = SpaceTimeGrid::makeFourDimGrid(latt4, GridDefaultSimd(Nd,vComplexF::Nsimd()),GridDefaultMpi());
+    GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(FGrid);
+    
+    ///////// RNG Init ////////////
+    std::vector<int> seeds4({1,2,3,4});
+    GridParallelRNG          RNG4(FGrid);  RNG4.SeedFixedIntegers(seeds4);
+    std::cout << GridLogMessage << "Initialised RNGs" << std::endl;
+
+    RealD mass=0.1;
+    RealD csw=1.0;
+
+    typedef WilsonCloverFermionF Action;
+    typedef typename Action::FermionField Fermion; 
+    typedef LatticeGaugeFieldF Gauge;
+    
+    Gauge Umu(FGrid);  SU<Nc>::HotConfiguration(RNG4,Umu); 
+
+    Action Dc(Umu,*FGrid,*FrbGrid,mass,csw,csw);
+
+    ///////// Source preparation ////////////
+    Fermion src   (FGrid); random(RNG4,src);
+    Fermion r     (FGrid);
+  
+    {
+
+      const int num_cases = 1;
+      std::string fmt("G/S/C ; G/O/C ; G/S/S ; G/O/S ");
+      
+      controls Cases [] = {
+	{  WilsonKernelsStatic::OptGeneric   ,  WilsonKernelsStatic::CommsAndCompute  ,CartesianCommunicator::CommunicatorPolicyConcurrent  },
+      }; 
+
+      for(int c=0;c<num_cases;c++) {
+	
+	WilsonKernelsStatic::Comms = Cases[c].CommsOverlap;
+	WilsonKernelsStatic::Opt   = Cases[c].Opt;
+	CartesianCommunicator::SetCommunicatorPolicy(Cases[c].CommsAsynch);
+      
+	std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+	std::cout << GridLogMessage<< "* SINGLE precision "<<std::endl;
+	std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+	
+	int nwarm = 10;
+	double t0=usecond();
+	FGrid->Barrier();
+	for(int i=0;i<nwarm;i++){
+	  Dc.M(src,r);
+	}
+	FGrid->Barrier();
+	double t1=usecond();
+	uint64_t ncall = 500;
+
+	FGrid->Broadcast(0,&ncall,sizeof(ncall));
+
+	//	std::cout << GridLogMessage << " Estimate " << ncall << " calls per second"<<std::endl;
+
+	time_statistics timestat;
+	std::vector<double> t_time(ncall);
+	for(uint64_t i=0;i<ncall;i++){
+	  t0=usecond();
+	  Dc.M(src,r);
+	  t1=usecond();
+	  t_time[i] = t1-t0;
+	}
+	FGrid->Barrier();
+	
+	double volume=1;  for(int mu=0;mu<Nd;mu++) volume=volume*latt4[mu];
+	double flops=(1344+ 24+6*6*8*2)*volume;
+	double mf_hi, mf_lo, mf_err;
+	
+	timestat.statistics(t_time);
+	mf_hi = flops/timestat.min;
+	mf_lo = flops/timestat.max;
+	mf_err= flops/timestat.min * timestat.err/timestat.mean;
+
+	mflops = flops/timestat.mean;
+	mflops_all.push_back(mflops);
+	if ( mflops_best == 0   ) mflops_best = mflops;
+	if ( mflops_worst== 0   ) mflops_worst= mflops;
+	if ( mflops>mflops_best ) mflops_best = mflops;
+	if ( mflops<mflops_worst) mflops_worst= mflops;
+	
+	std::cout<<GridLogMessage << std::fixed << std::setprecision(1)<<"Dclov mflop/s =   "<< mflops << " ("<<mf_err<<") " << mf_lo<<"-"<<mf_hi <<std::endl;
+	std::cout<<GridLogMessage << std::fixed << std::setprecision(1)<<"Dclov mflop/s per rank   "<< mflops/NP<<std::endl;
+	std::cout<<GridLogMessage << std::fixed << std::setprecision(1)<<"Dclov mflop/s per node   "<< mflops/NN<<std::endl;
+      
+      }
+
+      std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+      std::cout<<GridLogMessage << L<<"^4  Deo Best  mflop/s        =   "<< mflops_best << " ; " << mflops_best/NN<<" per node " <<std::endl;
+      std::cout<<GridLogMessage << L<<"^4  Deo Worst mflop/s        =   "<< mflops_worst<< " ; " << mflops_worst/NN<<" per node " <<std::endl;
+      std::cout<<GridLogMessage <<fmt << std::endl;
+      std::cout<<GridLogMessage ;
+
+      for(int i=0;i<mflops_all.size();i++){
+	std::cout<<mflops_all[i]/NN<<" ; " ;
+      }
+      std::cout<<std::endl;
+    }
+    std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+    return mflops_best;
+  }
+};
+
+
+
+
+int main (int argc, char ** argv)
+{
+  Grid_init(&argc,&argv);
+
+  if (GlobalSharedMemory::WorldRank==0) { 
+    FP = fopen("Benchmark_usqcd.csv","w");
+  } else {
+    FP = fopen("/dev/null","w");
+  }
+
+  CartesianCommunicator::SetCommunicatorPolicy(CartesianCommunicator::CommunicatorPolicySequential);
+#ifdef KNL
+  LebesgueOrder::Block = std::vector<int>({8,2,2,2});
+#else
+  LebesgueOrder::Block = std::vector<int>({2,2,2,2});
+#endif
+  Benchmark::Decomposition();
+
+  int do_su4=0;
+  int do_memory=1;
+  int do_comms =1;
+  int do_blas  =1;
+
+  int sel=4;
+  std::vector<int> L_list({8,12,16,24,32});
+  int selm1=sel-1;
+
+  std::vector<double> clover;
+  std::vector<double> dwf4;
+  std::vector<double> staggered;
+
+  int Ls=1;
+  std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+  std::cout<<GridLogMessage << " Clover dslash 4D vectorised" <<std::endl;
+  std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+  for(int l=0;l<L_list.size();l++){
+    clover.push_back(Benchmark::Clover(L_list[l]));
+  }
+
+  Ls=12;
+  std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+  std::cout<<GridLogMessage << " Domain wall dslash 4D vectorised" <<std::endl;
+  std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+  for(int l=0;l<L_list.size();l++){
+    double result = Benchmark::DWF(Ls,L_list[l]) ;
+    dwf4.push_back(result);
+  }
+
+  std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+  std::cout<<GridLogMessage << " Improved Staggered dslash 4D vectorised" <<std::endl;
+  std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+  for(int l=0;l<L_list.size();l++){
+    double result = Benchmark::Staggered(L_list[l]) ;
+    staggered.push_back(result);
+  }
+
+  std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+  std::cout<<GridLogMessage << " Summary table Ls="<<Ls <<std::endl;
+  std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+  std::cout<<GridLogMessage << "L \t\t Clover \t\t DWF4 \t\t Staggered" <<std::endl;
+  for(int l=0;l<L_list.size();l++){
+    std::cout<<GridLogMessage << L_list[l] <<" \t\t "<< clover[l]<<" \t\t "<<dwf4[l] << " \t\t "<< staggered[l]<<std::endl;
+  }
+  std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+
+  int NN=NN_global;
+  if ( do_memory ) {
+    std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+    std::cout<<GridLogMessage << " Memory benchmark " <<std::endl;
+    std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+    Benchmark::Memory();
+  }
+
+  if ( do_blas ) {
+#if defined(GRID_CUDA) || defined(GRID_HIP)    
+    std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+    std::cout<<GridLogMessage << " Batched BLAS benchmark " <<std::endl;
+    std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+    Benchmark::BLAS();
+#endif
+  }
+
+  if ( do_su4 ) {
+    std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+    std::cout<<GridLogMessage << " SU(4) benchmark " <<std::endl;
+    std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+    Benchmark::SU4();
+  }
+  
+  if ( do_comms ) {
+    std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+    std::cout<<GridLogMessage << " Communications benchmark " <<std::endl;
+    std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+    Benchmark::Comms();
+  }
+
+    std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+    std::cout<<GridLogMessage << " Per Node Summary table Ls="<<Ls <<std::endl;
+    std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+    std::cout<<GridLogMessage << " L \t\t Clover\t\t DWF4\t\t Staggered (GF/s per node)" <<std::endl;
+    fprintf(FP,"Per node summary table\n");
+    fprintf(FP,"\n");
+    fprintf(FP,"L , Wilson, DWF4, Staggered\n");
+    fprintf(FP,"\n");
+    for(int l=0;l<L_list.size();l++){
+      std::cout<<GridLogMessage << L_list[l] <<" \t\t "<< clover[l]/NN<<" \t "<<dwf4[l]/NN<< " \t "<<staggered[l]/NN<<std::endl;
+      fprintf(FP,"%d , %.0f, %.0f, %.0f\n",L_list[l],clover[l]/NN/1000.,dwf4[l]/NN/1000.,staggered[l]/NN/1000.);
+    }
+    fprintf(FP,"\n");
+
+    std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+
+    std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+    std::cout<<GridLogMessage << " Comparison point     result: "  << 0.5*(dwf4[sel]+dwf4[selm1])/NN << " Mflop/s per node"<<std::endl;
+    std::cout<<GridLogMessage << " Comparison point is 0.5*("<<dwf4[sel]/NN<<"+"<<dwf4[selm1]/NN << ") "<<std::endl;
+    std::cout<<std::setprecision(3);
+    std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
+
+  Grid_finalize();
+  fclose(FP);
+}

bootstrap.sh

@@ -1,12 +1,12 @@
 #!/usr/bin/env bash
 set -e
 
-EIGEN_URL='https://gitlab.com/libeigen/eigen/-/archive/3.3.7/eigen-3.3.7.tar.bz2'
+EIGEN_URL='https://gitlab.com/libeigen/eigen/-/archive/3.4.0/eigen-3.4.0.tar.bz2'
-EIGEN_SHA256SUM='685adf14bd8e9c015b78097c1dc22f2f01343756f196acdc76a678e1ae352e11'
+EIGEN_SHA256SUM='b4c198460eba6f28d34894e3a5710998818515104d6e74e5cc331ce31e46e626'
 
 
 echo "-- deploying Eigen source..."
-ARC=`basename ${EIGEN_URL}`
+ARC=$(basename ${EIGEN_URL})
 wget ${EIGEN_URL} --no-check-certificate
 if command -v sha256sum; then
    echo "$EIGEN_SHA256SUM  $(basename "$EIGEN_URL")" \
@@ -14,13 +14,8 @@ if command -v sha256sum; then
 else
    echo "WARNING: could not verify checksum, please install sha256sum" >&2
 fi
-./scripts/update_eigen.sh ${ARC}
+./scripts/update_eigen.sh "${ARC}"
-rm ${ARC}
+rm "${ARC}"
-# patch for non-portable includes in Eigen 3.3.5
-# apparently already fixed in Eigen HEAD so it should not be 
-# a problem in the future (A.P.)
-patch Eigen/unsupported/Eigen/CXX11/Tensor scripts/eigen-3.3.5.Tensor.patch
-
 echo '-- generating Make.inc files...'
 ./scripts/filelist
 echo '-- generating configure script...'

examples/Example_plaquette.cc

@@ -0,0 +1,183 @@
+/* 
+ * Example_plaquette.cc                                                               
+ * 
+ * D. Clarke 
+ * 
+ * Here I just want to create an incredibly simple main to get started with GRID and get used
+ * to its syntax. If the reader is like me, they vaguely understand something about lattice coding,
+ * they don't know a ton of C++, don't know much of the fine details, and certainly know nothing about GRID.
+ *
+ * Once you've made a new executable, like this one, you can bootstrap.sh again. At this point,
+ * the code should be able to find your new executable. You can tell that bootstrap.sh worked by
+ * having a look at Make.inc. You should see your executable inside there.
+ *
+ * Warning: This code illustrative only, not well tested, and not meant for production use. The best
+ * way to read this code is to start at the main.
+ * 
+ */
+
+
+// All your mains should have this
+#include <Grid/Grid.h>
+using namespace Grid;
+
+
+// This copies what already exists in WilsonLoops.h. The point here is to be pedagogical and explain in
+// detail what everything does so we can see how GRID works.
+template <class Gimpl> class WLoops : public Gimpl {
+public:
+    // Gimpl seems to be an arbitrary class. Within this class, it is expected that certain types are
+    // already defined, things like Scalar and Field. This macro includes a bunch of #typedefs that
+    // implement this equivalence at compile time.
+    INHERIT_GIMPL_TYPES(Gimpl);
+
+    // Some example Gimpls can be found in GaugeImplementations.h, at the bottom. These are in turn built
+    // out of GaugeImplTypes, which can be found in GaugeImplTypes.h. The GaugeImplTypes contain the base
+    // field/vector/link/whatever types. These inherit from iScalar, iVector, and iMatrix objects, which
+    // are sort of the building blocks for gerenal math objects. The "i" at the beginning of these names
+    // indicates that they should be for internal use only. It seems like these base types have the
+    // acceleration, e.g. SIMD or GPU or what-have-you, abstracted away. How you accelerate these things
+    // appears to be controlled through a template parameter called vtype.
+
+    // The general math/physics objects, such as a color matrix, are built up by nesting these objects.
+    // For instance a general color matrix has two color indices, so it's built up like
+    //     iScalar<iScalar<iMatrix<vtype ...
+    // where the levels going from the inside out are color, spin, then Lorentz indices. Scalars have
+    // no indices, so it's what we use when such an index isn't needed. Lattice objects are made by one
+    // higher level of indexing using iVector.
+
+    // These types will be used for U and U_mu objects, respectively.
+    typedef typename Gimpl::GaugeLinkField GaugeMat;
+    typedef typename Gimpl::GaugeField GaugeLorentz;
+
+    // U_mu_nu(x)
+    static void dirPlaquette(GaugeMat &plaq, const std::vector<GaugeMat> &U, const int mu, const int nu) {
+        // Calls like CovShiftForward and CovShiftBackward have 3 arguments, and they multiply together
+        // the first and last argument. (Second arg gives the shift direction.) The CovShiftIdentityBackward
+        // has meanwhile only two arguments; it just returns the shifted (adjoint since backward) link. 
+        plaq = Gimpl::CovShiftForward(U[mu],mu,
+                   // Means Link*Cshift(field,mu,1), arguments are Link, mu, field in that order.
+                   Gimpl::CovShiftForward(U[nu],nu,
+                       Gimpl::CovShiftBackward(U[mu],mu,
+                           // This means Cshift(adj(Link), mu, -1)
+                           Gimpl::CovShiftIdentityBackward(U[nu], nu))));
+    }
+
+    // tr U_mu_nu(x)
+    static void traceDirPlaquette(ComplexField &plaq, const std::vector<GaugeMat> &U, const int mu, const int nu) {
+        // This .Grid() syntax seems to get the pointer to the GridBase. Apparently this is needed as argument
+        // to instantiate a Lattice object.
+        GaugeMat sp(U[0].Grid());
+        dirPlaquette(sp, U, mu, nu);
+        plaq = trace(sp);
+    }
+
+    // sum_mu_nu tr U_mu_nu(x)
+    static void sitePlaquette(ComplexField &Plaq, const std::vector<GaugeMat> &U) {
+        ComplexField sitePlaq(U[0].Grid());
+        Plaq = Zero();
+        // Nd=4 and Nc=3 are set as global constants in QCD.h
+        for (int mu = 1; mu < Nd; mu++) {
+            for (int nu = 0; nu < mu; nu++) {
+                traceDirPlaquette(sitePlaq, U, mu, nu);
+                Plaq = Plaq + sitePlaq;
+            }
+        }
+    }
+
+    // sum_mu_nu_x Re tr U_mu_nu(x)
+    static RealD sumPlaquette(const GaugeLorentz &Umu) {
+        std::vector<GaugeMat> U(Nd, Umu.Grid());
+        for (int mu = 0; mu < Nd; mu++) {
+            // Umu is a GaugeLorentz object, and as such has a non-trivial Lorentz index. We can
+            // access the element in the mu Lorentz index with this PeekIndex syntax.
+            U[mu] = PeekIndex<LorentzIndex>(Umu, mu);
+        }
+        ComplexField Plaq(Umu.Grid());
+        sitePlaquette(Plaq, U);
+        // I guess this should be the line that sums over all space-time sites.
+        auto Tp = sum(Plaq);
+        // Until now, we have been working with objects inside the tensor nest. This TensorRemove gets
+        // rid of the tensor nest to return whatever is inside.
+        auto p  = TensorRemove(Tp);
+        return p.real();
+    }
+
+    // < Re tr U_mu_nu(x) >
+    static RealD avgPlaquette(const GaugeLorentz &Umu) {
+        // Real double type
+        RealD sumplaq = sumPlaquette(Umu);
+        // gSites() is the number of global sites. there is also lSites() for local sites.
+        double vol = Umu.Grid()->gSites();
+        // The number of orientations. 4*3/2=6 for Nd=4, as known.
+        double faces = (1.0 * Nd * (Nd - 1)) / 2.0;
+        return sumplaq / vol / faces / Nc;
+    }
+};
+
+
+// Next we show an example of how to construct an input parameter class. We first inherit
+// from Serializable. Then all class data members have to be defined using the
+// GRID_SERIALIZABLE_CLASS_MEMBERS macro. This variadic macro allows for arbitrarily many
+// class data members. In the below case, we make a parameter file holding the configuration
+// name. Here, it expects the name to be labeled with "conf_name" in the configuration file. 
+struct ConfParameters: Serializable {
+    GRID_SERIALIZABLE_CLASS_MEMBERS(
+        ConfParameters,
+        std::string, conf_name);
+
+    template <class ReaderClass>
+    ConfParameters(Reader<ReaderClass>& Reader){
+        // If we are reading an XML file, it should be structured like:
+        // <grid>
+        //   <parameters>
+        //     <conf_name>l20t20b06498a_nersc.302500</conf_name>
+        //   </parameters>
+        // </grid>
+        read(Reader, "parameters", *this);
+    }
+};
+
+
+
+// This syntax lets you pass command line arguments to main. An asterisk means that what follows is
+// a pointer. Two asterisks means what follows is a pointer to an array. 
+int main (int argc, char **argv)
+{
+    // This initializes Grid. Some command line options include
+    //   --mpi n.n.n.n
+    //   --threads n
+    //   --grid n.n.n.n
+    Grid_init(&argc, &argv);
+
+    // This is where you would specify a custom lattice size, if not from the command line. Here
+    // Nd is a global quantity that is currently set to 4.
+    Coordinate simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
+    Coordinate mpi_layout  = GridDefaultMpi();
+    Coordinate latt_size   = GridDefaultLatt();
+
+    // Instantiate the spacetime Grid on which everything will be built.
+    GridCartesian GRID(latt_size,simd_layout,mpi_layout);
+
+    // The PeriodicGimplD type is what you want for gauge matrices. There is also a LatticeGaugeFieldD
+    // type that you can use, which will work perfectly with what follows. 
+    PeriodicGimplD::Field U(&GRID);
+
+    // Here we read in the parameter file params.json to get conf_name. The last argument is what the
+    // top organizational level is called in the param file. 
+    XmlReader Reader("Example_plaquette.xml",false, "grid");
+    ConfParameters param(Reader);  
+
+    // Load a lattice from SIMULATeQCD into U. SIMULATeQCD finds plaquette = 0.6381995717
+    FieldMetaData header;
+    NerscIO::readConfiguration(U, header, param.conf_name);
+
+    // Let's see what we find.
+    RealD plaq = WLoops<PeriodicGimplD>::avgPlaquette(U);
+
+    // This is how you make log messages.
+    std::cout << GridLogMessage << std::setprecision(std::numeric_limits<Real>::digits10 + 1) << "Plaquette = " << plaq << std::endl;
+
+    // To wrap things up.
+    Grid_finalize();
+}

scripts/eigen-3.3.5.Tensor.patch

@@ -1,19 +0,0 @@
---- ./Eigen/unsupported/Eigen/CXX11/Tensor	2018-07-23 10:33:42.000000000 +0100
-+++ Tensor	2018-08-28 16:15:56.000000000 +0100
-@@ -25,7 +25,7 @@
- #include <utility>
- #endif
- 
--#include <Eigen/src/Core/util/DisableStupidWarnings.h>
-+#include "../../../Eigen/src/Core/util/DisableStupidWarnings.h"
- 
- #include "../SpecialFunctions"
- #include "src/util/CXX11Meta.h"
-@@ -147,6 +147,6 @@
- 
- #include "src/Tensor/TensorIO.h"
- 
--#include <Eigen/src/Core/util/ReenableStupidWarnings.h>
-+#include "../../../Eigen/src/Core/util/ReenableStupidWarnings.h"
- 
- //#endif // EIGEN_CXX11_TENSOR_MODULE

systems/Aurora/benchmarks/bench1024.pbs

@@ -0,0 +1,56 @@
+#!/bin/bash
+
+## qsub -q EarlyAppAccess -A Aurora_Deployment -I -l select=1 -l walltime=60:00
+
+#PBS -q EarlyAppAccess
+#PBS -l select=1024
+#PBS -l walltime=01:00:00
+#PBS -A LatticeQCD_aesp_CNDA
+
+#export OMP_PROC_BIND=spread
+#unset OMP_PLACES
+
+cd $PBS_O_WORKDIR
+
+source ../sourceme.sh
+
+cat $PBS_NODEFILE
+
+export OMP_NUM_THREADS=3
+export MPIR_CVAR_CH4_OFI_ENABLE_GPU_PIPELINE=1
+
+#unset MPIR_CVAR_CH4_OFI_GPU_PIPELINE_D2H_ENGINE_TYPE
+#unset MPIR_CVAR_CH4_OFI_GPU_PIPELINE_H2D_ENGINE_TYPE
+#unset MPIR_CVAR_GPU_USE_IMMEDIATE_COMMAND_LIST
+
+export MPIR_CVAR_CH4_OFI_GPU_PIPELINE_D2H_ENGINE_TYPE=0
+export MPIR_CVAR_CH4_OFI_GPU_PIPELINE_H2D_ENGINE_TYPE=0
+export MPIR_CVAR_GPU_USE_IMMEDIATE_COMMAND_LIST=1
+export MPIR_CVAR_CH4_OFI_GPU_PIPELINE_BUFFER_SZ=1048576
+export MPIR_CVAR_CH4_OFI_GPU_PIPELINE_THRESHOLD=131072
+export MPIR_CVAR_CH4_OFI_GPU_PIPELINE_NUM_BUFFERS_PER_CHUNK=16
+export MPIR_CVAR_CH4_OFI_GPU_PIPELINE_MAX_NUM_BUFFERS=16
+export MPICH_OFI_NIC_POLICY=GPU
+
+# 12 ppn, 32 nodes, 384 ranks
+#
+CMD="mpiexec -np 12288 -ppn 12  -envall \
+	     ./gpu_tile_compact.sh \
+	     ./Benchmark_comms_host_device --mpi 8.6.16.16 --grid 64.48.64.284 \
+		--shm-mpi 1 --shm 2048 --device-mem 32000 --accelerator-threads 32"
+
+$CMD 
+
+CMD="mpiexec -np 12288 -ppn 12  -envall \
+	     ./gpu_tile_compact.sh \
+	     ./Benchmark_dwf_fp32 --mpi 8.8.8.24 --grid 128.128.128.384 \
+		--shm-mpi 1 --shm 2048 --device-mem 32000 --accelerator-threads 32 --comms-overlap"
+$CMD | tee 1024node.dwf.small
+
+CMD="mpiexec -np 12288 -ppn 12  -envall \
+	     ./gpu_tile_compact.sh \
+	     ./Benchmark_dwf_fp32 --mpi 16.8.8.12 --grid 256.256.256.384 \
+		--shm-mpi 1 --shm 2048 --device-mem 32000 --accelerator-threads 32 --comms-overlap"
+$CMD | tee 1024node.dwf
+
+

systems/Aurora/benchmarks/bench12.pbs

@@ -0,0 +1,45 @@
+#!/bin/bash
+
+## qsub -q EarlyAppAccess -A Aurora_Deployment -I -l select=1 -l walltime=60:00
+
+#PBS -q EarlyAppAccess
+#PBS -l select=2
+#PBS -l walltime=01:00:00
+#PBS -A LatticeQCD_aesp_CNDA
+
+#export OMP_PROC_BIND=spread
+#unset OMP_PLACES
+
+cd $PBS_O_WORKDIR
+
+source ../sourceme.sh
+
+export OMP_NUM_THREADS=3
+export MPIR_CVAR_CH4_OFI_ENABLE_GPU_PIPELINE=1
+
+#unset MPIR_CVAR_CH4_OFI_GPU_PIPELINE_D2H_ENGINE_TYPE
+#unset MPIR_CVAR_CH4_OFI_GPU_PIPELINE_H2D_ENGINE_TYPE
+#unset MPIR_CVAR_GPU_USE_IMMEDIATE_COMMAND_LIST
+
+export MPIR_CVAR_CH4_OFI_GPU_PIPELINE_D2H_ENGINE_TYPE=0
+export MPIR_CVAR_CH4_OFI_GPU_PIPELINE_H2D_ENGINE_TYPE=0
+export MPIR_CVAR_GPU_USE_IMMEDIATE_COMMAND_LIST=1
+export MPIR_CVAR_CH4_OFI_GPU_PIPELINE_BUFFER_SZ=1048576
+export MPIR_CVAR_CH4_OFI_GPU_PIPELINE_THRESHOLD=131072
+export MPIR_CVAR_CH4_OFI_GPU_PIPELINE_NUM_BUFFERS_PER_CHUNK=16
+export MPIR_CVAR_CH4_OFI_GPU_PIPELINE_MAX_NUM_BUFFERS=16
+export MPICH_OFI_NIC_POLICY=GPU
+
+CMD="mpiexec -np 24 -ppn 12  -envall \
+	     ./gpu_tile_compact.sh \
+	     ./Benchmark_comms_host_device --mpi 2.3.2.2 --grid 32.24.32.192 \
+		--shm-mpi 1 --shm 2048 --device-mem 32000 --accelerator-threads 32"
+
+$CMD 
+
+CMD="mpiexec -np 24 -ppn 12  -envall \
+	     ./gpu_tile_compact.sh \
+	     ./Benchmark_dwf_fp32 --mpi 2.3.2.2 --grid 64.96.64.64 --comms-overlap \
+		--shm-mpi 1 --shm 2048 --device-mem 32000 --accelerator-threads 32"
+
+$CMD 

systems/Aurora/benchmarks/bench2048.pbs

@@ -0,0 +1,56 @@
+#!/bin/bash
+
+## qsub -q EarlyAppAccess -A Aurora_Deployment -I -l select=1 -l walltime=60:00
+
+#PBS -q EarlyAppAccess
+#PBS -l select=2048
+#PBS -l walltime=01:00:00
+#PBS -A LatticeQCD_aesp_CNDA
+
+#export OMP_PROC_BIND=spread
+#unset OMP_PLACES
+
+cd $PBS_O_WORKDIR
+
+source ../sourceme.sh
+
+cat $PBS_NODEFILE
+
+export OMP_NUM_THREADS=3
+export MPIR_CVAR_CH4_OFI_ENABLE_GPU_PIPELINE=1
+
+#unset MPIR_CVAR_CH4_OFI_GPU_PIPELINE_D2H_ENGINE_TYPE
+#unset MPIR_CVAR_CH4_OFI_GPU_PIPELINE_H2D_ENGINE_TYPE
+#unset MPIR_CVAR_GPU_USE_IMMEDIATE_COMMAND_LIST
+
+export MPIR_CVAR_CH4_OFI_GPU_PIPELINE_D2H_ENGINE_TYPE=0
+export MPIR_CVAR_CH4_OFI_GPU_PIPELINE_H2D_ENGINE_TYPE=0
+export MPIR_CVAR_GPU_USE_IMMEDIATE_COMMAND_LIST=1
+export MPIR_CVAR_CH4_OFI_GPU_PIPELINE_BUFFER_SZ=1048576
+export MPIR_CVAR_CH4_OFI_GPU_PIPELINE_THRESHOLD=131072
+export MPIR_CVAR_CH4_OFI_GPU_PIPELINE_NUM_BUFFERS_PER_CHUNK=16
+export MPIR_CVAR_CH4_OFI_GPU_PIPELINE_MAX_NUM_BUFFERS=16
+export MPICH_OFI_NIC_POLICY=GPU
+
+# 12 ppn, 32 nodes, 384 ranks
+#
+CMD="mpiexec -np 24576 -ppn 12  -envall \
+	     ./gpu_tile_compact.sh \
+	     ./Benchmark_comms_host_device --mpi 8.12.16.16 --grid 64.48.64.284 \
+		--shm-mpi 1 --shm 2048 --device-mem 32000 --accelerator-threads 32"
+
+$CMD 
+
+CMD="mpiexec -np 24576 -ppn 12  -envall \
+	     ./gpu_tile_compact.sh \
+	     ./Benchmark_dwf_fp32 --mpi 16.8.8.24 --grid 128.128.128.384 \
+		--shm-mpi 1 --shm 2048 --device-mem 32000 --accelerator-threads 32 --comms-overlap"
+$CMD | tee 2048node.dwf.small
+
+CMD="mpiexec -np 24576 -ppn 12  -envall \
+	     ./gpu_tile_compact.sh \
+	     ./Benchmark_dwf_fp32 --mpi 16.8.8.24 --grid 256.256.256.768 \
+		--shm-mpi 1 --shm 2048 --device-mem 32000 --accelerator-threads 32 --comms-overlap"
+$CMD | tee 2048node.dwf
+
+

systems/Aurora/benchmarks/bench256.pbs

@@ -0,0 +1,48 @@
+#!/bin/bash
+
+## qsub -q EarlyAppAccess -A Aurora_Deployment -I -l select=1 -l walltime=60:00
+
+#PBS -q EarlyAppAccess
+#PBS -l select=256
+#PBS -l walltime=01:00:00
+#PBS -A LatticeQCD_aesp_CNDA
+
+#export OMP_PROC_BIND=spread
+#unset OMP_PLACES
+
+cd $PBS_O_WORKDIR
+
+source ../sourceme.sh
+
+cat $PBS_NODEFILE
+
+export OMP_NUM_THREADS=3
+export MPIR_CVAR_CH4_OFI_ENABLE_GPU_PIPELINE=1
+
+#unset MPIR_CVAR_CH4_OFI_GPU_PIPELINE_D2H_ENGINE_TYPE
+#unset MPIR_CVAR_CH4_OFI_GPU_PIPELINE_H2D_ENGINE_TYPE
+#unset MPIR_CVAR_GPU_USE_IMMEDIATE_COMMAND_LIST
+
+export MPIR_CVAR_CH4_OFI_GPU_PIPELINE_D2H_ENGINE_TYPE=0
+export MPIR_CVAR_CH4_OFI_GPU_PIPELINE_H2D_ENGINE_TYPE=0
+export MPIR_CVAR_GPU_USE_IMMEDIATE_COMMAND_LIST=1
+export MPIR_CVAR_CH4_OFI_GPU_PIPELINE_BUFFER_SZ=1048576
+export MPIR_CVAR_CH4_OFI_GPU_PIPELINE_THRESHOLD=131072
+export MPIR_CVAR_CH4_OFI_GPU_PIPELINE_NUM_BUFFERS_PER_CHUNK=16
+export MPIR_CVAR_CH4_OFI_GPU_PIPELINE_MAX_NUM_BUFFERS=16
+export MPICH_OFI_NIC_POLICY=GPU
+
+# 12 ppn, 32 nodes, 384 ranks
+#
+CMD="mpiexec -np 3072 -ppn 12  -envall \
+	     ./gpu_tile_compact.sh \
+	     ./Benchmark_comms_host_device --mpi 8.6.8.8 --grid 32.24.32.192 \
+		--shm-mpi 1 --shm 2048 --device-mem 32000 --accelerator-threads 32"
+
+$CMD 
+
+CMD="mpiexec -np 3072 -ppn 12  -envall \
+	     ./gpu_tile_compact.sh \
+	     ./Benchmark_dwf_fp32 --mpi 8.8.4.12 --grid 128.128.128.768 \
+		--shm-mpi 1 --shm 2048 --device-mem 32000 --accelerator-threads 32 --comms-overlap"
+$CMD | tee 256node.dwf.large

systems/Aurora/benchmarks/bench512.pbs

@@ -0,0 +1,48 @@
+#!/bin/bash
+
+## qsub -q EarlyAppAccess -A Aurora_Deployment -I -l select=1 -l walltime=60:00
+
+#PBS -q EarlyAppAccess
+#PBS -l select=512
+#PBS -l walltime=01:00:00
+#PBS -A LatticeQCD_aesp_CNDA
+
+#export OMP_PROC_BIND=spread
+#unset OMP_PLACES
+
+cd $PBS_O_WORKDIR
+
+source ../sourceme.sh
+
+cat $PBS_NODEFILE
+
+export OMP_NUM_THREADS=3
+export MPIR_CVAR_CH4_OFI_ENABLE_GPU_PIPELINE=1
+
+#unset MPIR_CVAR_CH4_OFI_GPU_PIPELINE_D2H_ENGINE_TYPE
+#unset MPIR_CVAR_CH4_OFI_GPU_PIPELINE_H2D_ENGINE_TYPE
+#unset MPIR_CVAR_GPU_USE_IMMEDIATE_COMMAND_LIST
+
+export MPIR_CVAR_CH4_OFI_GPU_PIPELINE_D2H_ENGINE_TYPE=0
+export MPIR_CVAR_CH4_OFI_GPU_PIPELINE_H2D_ENGINE_TYPE=0
+export MPIR_CVAR_GPU_USE_IMMEDIATE_COMMAND_LIST=1
+export MPIR_CVAR_CH4_OFI_GPU_PIPELINE_BUFFER_SZ=1048576
+export MPIR_CVAR_CH4_OFI_GPU_PIPELINE_THRESHOLD=131072
+export MPIR_CVAR_CH4_OFI_GPU_PIPELINE_NUM_BUFFERS_PER_CHUNK=16
+export MPIR_CVAR_CH4_OFI_GPU_PIPELINE_MAX_NUM_BUFFERS=16
+export MPICH_OFI_NIC_POLICY=GPU
+
+# 12 ppn, 32 nodes, 384 ranks
+#
+CMD="mpiexec -np 6144 -ppn 12  -envall \
+	     ./gpu_tile_compact.sh \
+	     ./Benchmark_comms_host_device --mpi 8.6.8.16 --grid 32.24.32.192 \
+		--shm-mpi 1 --shm 2048 --device-mem 32000 --accelerator-threads 32"
+
+$CMD 
+
+CMD="mpiexec -np 6144 -ppn 12  -envall \
+	     ./gpu_tile_compact.sh \
+	     ./Benchmark_dwf_fp32 --mpi 8.8.8.12 --grid 256.128.128.768 \
+		--shm-mpi 1 --shm 2048 --device-mem 32000 --accelerator-threads 32 --comms-overlap"
+$CMD | tee 512node.dwf.large

systems/Aurora/benchmarks/bench_scaling.pbs

@@ -0,0 +1,80 @@
+#!/bin/bash
+
+## qsub -q EarlyAppAccess -A Aurora_Deployment -I -l select=1 -l walltime=60:00
+
+#PBS -q EarlyAppAccess
+#PBS -l select=32
+#PBS -l walltime=01:00:00
+#PBS -A LatticeQCD_aesp_CNDA
+
+#export OMP_PROC_BIND=spread
+#unset OMP_PLACES
+
+cd $PBS_O_WORKDIR
+
+source ../sourceme.sh
+
+cat $PBS_NODEFILE
+
+export OMP_NUM_THREADS=3
+export MPIR_CVAR_CH4_OFI_ENABLE_GPU_PIPELINE=1
+
+#unset MPIR_CVAR_CH4_OFI_GPU_PIPELINE_D2H_ENGINE_TYPE
+#unset MPIR_CVAR_CH4_OFI_GPU_PIPELINE_H2D_ENGINE_TYPE
+#unset MPIR_CVAR_GPU_USE_IMMEDIATE_COMMAND_LIST
+
+export MPIR_CVAR_CH4_OFI_GPU_PIPELINE_D2H_ENGINE_TYPE=0
+export MPIR_CVAR_CH4_OFI_GPU_PIPELINE_H2D_ENGINE_TYPE=0
+export MPIR_CVAR_GPU_USE_IMMEDIATE_COMMAND_LIST=1
+export MPIR_CVAR_CH4_OFI_GPU_PIPELINE_BUFFER_SZ=1048576
+export MPIR_CVAR_CH4_OFI_GPU_PIPELINE_THRESHOLD=131072
+export MPIR_CVAR_CH4_OFI_GPU_PIPELINE_NUM_BUFFERS_PER_CHUNK=16
+export MPIR_CVAR_CH4_OFI_GPU_PIPELINE_MAX_NUM_BUFFERS=16
+export MPICH_OFI_NIC_POLICY=GPU
+
+# 12 ppn, 32 nodes, 384 ranks
+#
+CMD="mpiexec -np 384 -ppn 12  -envall \
+	     ./gpu_tile_compact.sh \
+	     ./Benchmark_comms_host_device --mpi 4.6.4.4 --grid 32.24.32.192 \
+		--shm-mpi 1 --shm 2048 --device-mem 32000 --accelerator-threads 32"
+
+$CMD 
+
+CMD="mpiexec -np 12 -ppn 12  -envall \
+	     ./gpu_tile_compact.sh \
+	     ./Benchmark_dwf_fp32 --mpi 1.2.2.3 --grid 16.64.64.96 \
+		--shm-mpi 1 --shm 2048 --device-mem 32000 --accelerator-threads 32 --comms-overlap"
+$CMD | tee 1node.dwf
+
+
+CMD="mpiexec -np 24 -ppn 12  -envall \
+	     ./gpu_tile_compact.sh \
+	     ./Benchmark_dwf_fp32 --mpi 2.2.2.3 --grid 32.64.64.96 \
+		--shm-mpi 1 --shm 2048 --device-mem 32000 --accelerator-threads 32 --comms-overlap"
+$CMD | tee 2node.dwf
+
+CMD="mpiexec -np 48 -ppn 12  -envall \
+	     ./gpu_tile_compact.sh \
+	     ./Benchmark_dwf_fp32 --mpi 2.2.2.6 --grid 32.64.64.192 \
+		--shm-mpi 1 --shm 2048 --device-mem 32000 --accelerator-threads 32 --comms-overlap"
+$CMD | tee 4node.dwf
+
+CMD="mpiexec -np 96 -ppn 12  -envall \
+	     ./gpu_tile_compact.sh \
+	     ./Benchmark_dwf_fp32 --mpi 2.2.4.6 --grid 32.64.128.192 \
+		--shm-mpi 1 --shm 2048 --device-mem 32000 --accelerator-threads 32 --comms-overlap"
+$CMD | tee 8node.dwf
+
+CMD="mpiexec -np 192 -ppn 12  -envall \
+	     ./gpu_tile_compact.sh \
+	     ./Benchmark_dwf_fp32 --mpi 2.4.4.6 --grid 32.128.128.192 \
+		--shm-mpi 1 --shm 2048 --device-mem 32000 --accelerator-threads 32 --comms-overlap"
+$CMD | tee 16node.dwf
+
+
+CMD="mpiexec -np 384 -ppn 12  -envall \
+	     ./gpu_tile_compact.sh \
+	     ./Benchmark_dwf_fp32 --mpi 4.4.4.6 --grid 64.128.128.192 \
+		--shm-mpi 1 --shm 2048 --device-mem 32000 --accelerator-threads 32 --comms-overlap"
+$CMD | tee 32node.dwf

systems/Aurora/benchmarks/gpu_tile_compact.sh

@@ -0,0 +1,33 @@
+#!/bin/bash
+
+export NUMA_MAP=(2 2 2 3 3 3 2 2 2 3 3 3 )
+#export NUMA_MAP=(0 0 0 1 1 1 0 0 0 1 1 1 )
+export NUMA_PMAP=(0 0 0 1 1 1 0 0 0 1 1 1 )
+export  NIC_MAP=(0 1 2 4 5 6 0 1 2 4 5 6 )
+export  GPU_MAP=(0 1 2 3 4 5 0 1 2 3 4 5 )
+export TILE_MAP=(0 0 0 0 0 0 1 1 1 1 1 1 )
+
+export NUMA=${NUMA_MAP[$PALS_LOCAL_RANKID]}
+export NUMAP=${NUMA_PMAP[$PALS_LOCAL_RANKID]}
+export NIC=${NIC_MAP[$PALS_LOCAL_RANKID]}
+export gpu_id=${GPU_MAP[$PALS_LOCAL_RANKID]}
+export tile_id=${TILE_MAP[$PALS_LOCAL_RANKID]}
+  
+#export GRID_MPICH_NIC_BIND=$NIC
+#export ONEAPI_DEVICE_SELECTOR=level_zero:$gpu_id.$tile_id
+
+unset EnableWalkerPartition
+export EnableImplicitScaling=0
+export ZE_AFFINITY_MASK=$gpu_id.$tile_id
+export ONEAPI_DEVICE_FILTER=gpu,level_zero
+
+#export ZE_ENABLE_PCI_ID_DEVICE_ORDER=1
+#export SYCL_PI_LEVEL_ZERO_DEVICE_SCOPE_EVENTS=0
+#export SYCL_PI_LEVEL_ZERO_USE_IMMEDIATE_COMMANDLISTS=1
+#export SYCL_PI_LEVEL_ZERO_USE_COPY_ENGINE=0:2
+#export SYCL_PI_LEVEL_ZERO_USE_COPY_ENGINE_FOR_D2D_COPY=1
+#export SYCL_PI_LEVEL_ZERO_USM_RESIDENT=1
+
+#echo "rank $PALS_RANKID ; local rank $PALS_LOCAL_RANKID ; ZE_AFFINITY_MASK=$ZE_AFFINITY_MASK ; NUMA $NUMA "
+
+numactl -m $NUMA -N $NUMAP  "$@"

systems/Aurora/benchmarks/gpu_tile_compact4.sh

@@ -0,0 +1,29 @@
+#!/bin/bash
+
+export  NUMA_MAP=(2 2 3 3  2 2  3 3  )
+export  PROC_MAP=(0 0 1 1  0 0  1 1  )
+export  NIC_MAP=(0 0  4 4  1 1  5 5  )
+export  GPU_MAP=(0 1  3 4  0 1  3 4  )
+export TILE_MAP=(0 0  0 0  1 1  1 1  )
+export NUMA=${NUMA_MAP[$PALS_LOCAL_RANKID]}
+export NIC=${NIC_MAP[$PALS_LOCAL_RANKID]}
+export gpu_id=${GPU_MAP[$PALS_LOCAL_RANKID]}
+export tile_id=${TILE_MAP[$PALS_LOCAL_RANKID]}
+  
+#export GRID_MPICH_NIC_BIND=$NIC
+
+unset EnableWalkerPartition
+export EnableImplicitScaling=0
+export ZE_ENABLE_PCI_ID_DEVICE_ORDER=1
+export ZE_AFFINITY_MASK=$gpu_id.$tile_id
+#export ONEAPI_DEVICE_SELECTOR=level_zero:$gpu_id.$tile_id
+export ONEAPI_DEVICE_FILTER=gpu,level_zero
+export SYCL_PI_LEVEL_ZERO_DEVICE_SCOPE_EVENTS=0
+export SYCL_PI_LEVEL_ZERO_USE_IMMEDIATE_COMMANDLISTS=1
+export SYCL_PI_LEVEL_ZERO_USE_COPY_ENGINE=0:2
+export SYCL_PI_LEVEL_ZERO_USE_COPY_ENGINE_FOR_D2D_COPY=1
+#export SYCL_PI_LEVEL_ZERO_USM_RESIDENT=1
+
+echo "rank $PALS_RANKID ; local rank $PALS_LOCAL_RANKID ; ZE_AFFINITY_MASK=$ZE_AFFINITY_MASK ; NIC $GRID_MPICH_NIC_BIND ; NUMA domain $NUMA"
+
+numactl -m $NUMA -N $PROC_MAP  "$@"

systems/Aurora/config-command

@@ -0,0 +1,16 @@
+TOOLS=$HOME/tools
+../../configure \
+	--enable-simd=GPU \
+	--enable-gen-simd-width=64 \
+	--enable-comms=mpi-auto \
+	--enable-accelerator-cshift \
+	--disable-gparity \
+	--disable-fermion-reps \
+	--enable-shm=nvlink \
+	--enable-accelerator=sycl \
+	--enable-unified=no \
+	MPICXX=mpicxx \
+	CXX=icpx \
+	LDFLAGS="-fiopenmp -fsycl -fsycl-device-code-split=per_kernel -fsycl-device-lib=all -lze_loader -L$TOOLS/lib64/" \
+	CXXFLAGS="-fiopenmp -fsycl-unnamed-lambda -fsycl -I$INSTALL/include -Wno-tautological-compare -I$HOME/ -I$TOOLS/include"
+

systems/Aurora/proxies.sh

@@ -0,0 +1,9 @@
+export HTTP_PROXY=http://proxy.alcf.anl.gov:3128
+export HTTPS_PROXY=http://proxy.alcf.anl.gov:3128
+export http_proxy=http://proxy.alcf.anl.gov:3128
+export https_proxy=http://proxy.alcf.anl.gov:3128
+export MPIR_CVAR_CH4_OFI_ENABLE_HMEM=1
+git config --global http.proxy http://proxy.alcf.anl.gov:3128
+module use /soft/modulefiles
+module load intel_compute_runtime/release/agama-devel-682.22
+ 

systems/Aurora/sourceme.sh

@@ -0,0 +1,12 @@
+#export ONEAPI_DEVICE_SELECTOR=level_zero:0.0
+
+module use /soft/modulefiles
+module load intel_compute_runtime/release/agama-devel-682.22
+
+export HTTP_PROXY=http://proxy.alcf.anl.gov:3128
+export HTTPS_PROXY=http://proxy.alcf.anl.gov:3128
+export http_proxy=http://proxy.alcf.anl.gov:3128
+export https_proxy=http://proxy.alcf.anl.gov:3128
+#export MPIR_CVAR_CH4_OFI_ENABLE_HMEM=1
+git config --global http.proxy http://proxy.alcf.anl.gov:3128
+ 

systems/Frontier/config-command

@@ -0,0 +1,23 @@
+CLIME=`spack find --paths c-lime@2-3-9 | grep c-lime| cut -c 15-`
+../../configure --enable-comms=mpi-auto \
+--with-lime=$CLIME \
+--enable-unified=no \
+--enable-shm=nvlink \
+--enable-tracing=timer \
+--enable-accelerator=hip \
+--enable-gen-simd-width=64 \
+--disable-gparity \
+--disable-fermion-reps \
+--enable-simd=GPU \
+--enable-accelerator-cshift \
+--with-gmp=$OLCF_GMP_ROOT \
+--with-fftw=$FFTW_DIR/.. \
+--with-mpfr=/opt/cray/pe/gcc/mpfr/3.1.4/ \
+--disable-fermion-reps \
+CXX=hipcc MPICXX=mpicxx \
+CXXFLAGS="-fPIC -I{$ROCM_PATH}/include/ -I${MPICH_DIR}/include -L/lib64 -fgpu-sanitize" \
+ LDFLAGS="-L/lib64 -L${MPICH_DIR}/lib -lmpi -L${CRAY_MPICH_ROOTDIR}/gtl/lib -lmpi_gtl_hsa -lamdhip64 "
+
+
+
+

systems/Frontier/sourceme.sh

@@ -0,0 +1,13 @@
+. /autofs/nccs-svm1_home1/paboyle/Crusher/Grid/spack/share/spack/setup-env.sh
+spack load c-lime
+#export LD_LIBRARY_PATH=$LD_LIBRARY_PATH:/sw/crusher/spack-envs/base/opt/cray-sles15-zen3/gcc-11.2.0/gperftools-2.9.1-72ubwtuc5wcz2meqltbfdb76epufgzo2/lib
+module load emacs 
+module load PrgEnv-gnu
+module load rocm
+module load cray-mpich/8.1.23
+module load gmp
+module load cray-fftw
+module load craype-accel-amd-gfx90a
+export LD_LIBRARY_PATH=/opt/gcc/mpfr/3.1.4/lib:$LD_LIBRARY_PATH
+#Hack for lib
+#export LD_LIBRARY_PATH=`pwd`:$LD_LIBRARY_PATH

systems/Lumi/HMC/32cube/fthmc3gev.slurm

@@ -0,0 +1,57 @@
+#!/bin/bash -l
+#SBATCH --job-name=fthmc3ge
+#SBATCH --partition=small-g
+#SBATCH --nodes=1
+#SBATCH --ntasks-per-node=8
+##SBATCH --cpus-per-task=8
+#SBATCH --gpus-per-node=8
+#SBATCH --time=2:00:00
+#SBATCH --account=project_465000546
+#SBATCH --gpu-bind=none
+#SBATCH --exclusive
+#SBATCH --mem=0
+
+
+#sbatch --dependency=afterany:$SLURM_JOBID fthmc3gev.slurm
+
+CPU_BIND="map_ldom:3,3,1,1,0,0,2,2"
+MEM_BIND="map_mem:3,3,1,1,0,0,2,2"
+echo $CPU_BIND
+
+cat << EOF > ./select_gpu
+#!/bin/bash
+export GPU_MAP=(0 1 2 3 4 5 6 7)
+export NUMA_MAP=(3 3 1 1 0 0 2 2)
+export GPU=\${GPU_MAP[\$SLURM_LOCALID]}
+export NUM=\${NUMA_MAP[\$SLURM_LOCALID]}
+#export HIP_VISIBLE_DEVICES=\$GPU
+export ROCR_VISIBLE_DEVICES=\$GPU
+echo RANK \$SLURM_LOCALID using GPU \$GPU    
+echo NUMA \$SLURM_LOCALID using NUMA \${NUM}
+echo numactl -m \$NUM -N \$NUM \$*
+exec numactl -m \$NUM -N \$NUM \$*
+EOF
+cat ./select_gpu
+
+chmod +x ./select_gpu
+
+root=/scratch/project_465000546/boylepet/Grid/systems/Lumi
+source ${root}/sourceme.sh
+
+export OMP_NUM_THREADS=7
+export MPICH_SMP_SINGLE_COPY_MODE=CMA
+export MPICH_GPU_SUPPORT_ENABLED=1
+
+#cfg=`ls -rt ckpoint_*lat* | tail -n 1  `
+#traj="${cfg#*.}"
+#cfg=`ls -rt ckpoint_*lat* | tail -n 1  `
+traj=0
+
+vol=32.32.32.64
+mpi=1.2.2.2
+PARAMS="--mpi $mpi --accelerator-threads 16 --comms-sequential --shm 2048 --shm-mpi 0 --grid $vol"
+#HMCPARAMS="--StartingType CheckpointStart --StartingTrajectory $traj --Trajectories 200"
+HMCPARAMS="--StartingType ColdStart --StartingTrajectory $traj --Trajectories 20"
+
+srun ./select_gpu ../FTHMC2p1f_3GeV $HMCPARAMS $PARAMS
+

systems/Lumi/config-command

@@ -23,7 +23,7 @@ echo mpfr X$MPFR
 --disable-fermion-reps \
 --disable-gparity \
 CXX=hipcc MPICXX=mpicxx \
-  CXXFLAGS="-fPIC --offload-arch=gfx90a -I/opt/rocm/include/ -std=c++14 -I/opt/cray/pe/mpich/8.1.23/ofi/gnu/9.1/include" \
+  CXXFLAGS="-fPIC --offload-arch=gfx90a -I/opt/rocm/include/ -std=c++17 -I/opt/cray/pe/mpich/8.1.23/ofi/gnu/9.1/include" \
   LDFLAGS="-L/opt/cray/pe/mpich/8.1.23/ofi/gnu/9.1/lib -lmpi -L/opt/cray/pe/mpich/8.1.23/gtl/lib -lmpi_gtl_hsa -lamdhip64 -fopenmp" 
 
 

systems/SDCC-A100/bench.slurm

@@ -0,0 +1,42 @@
+#!/bin/bash
+#SBATCH --partition csi
+#SBATCH --time=00:10:00
+#SBATCH -A csigeneral
+#SBATCH --exclusive
+#SBATCH --nodes=1
+#SBATCH --ntasks=4
+#SBATCH --qos csi
+#SBATCH --gres=gpu:4
+
+source sourceme.sh
+
+cat << EOF > select_gpu
+#!/bin/bash
+export GPU_MAP=(0 1 2 3)
+export GPU=\${GPU_MAP[\$SLURM_LOCALID]}
+export CUDA_VISIBLE_DEVICES=\$GPU
+unset ROCR_VISIBLE_DEVICES
+echo RANK \$SLURM_LOCALID using GPU \$GPU    
+exec \$*
+EOF
+chmod +x ./select_gpu
+
+
+export OMP_NUM_THREADS=4
+export OMPI_MCA_btl=^uct,openib
+export UCX_TLS=cuda,gdr_copy,rc,rc_x,sm,cuda_copy,cuda_ipc
+export UCX_RNDV_SCHEME=put_zcopy
+export UCX_RNDV_THRESH=16384
+export UCX_IB_GPU_DIRECT_RDMA=no
+export UCX_MEMTYPE_CACHE=n
+
+export OMP_NUM_THREAD=8
+#srun -N1 -n1 nvidia-smi
+#srun -N1 -n1 numactl -H > numa.txt
+srun -N1 -n1 lstopo A100-topo.pdf
+
+# 4.35 TF/s
+#srun -N1 -n1 ./benchmarks/Benchmark_dwf_fp32 --mpi 1.1.1.1 --grid 16.32.32.32 --shm 2048 --shm-mpi 0  --accelerator-threads 16
+
+srun -N1 -n4 ./select_gpu ./benchmarks/Benchmark_dwf_fp32 --mpi 1.1.2.2 --grid 32.32.64.64 --shm 2048 --shm-mpi 0  --accelerator-threads 16
+

systems/SDCC-A100/config-command

@@ -0,0 +1,17 @@
+../../configure \
+--enable-comms=mpi-auto \
+--enable-unified=no \
+--enable-shm=nvlink \
+--enable-accelerator=cuda \
+--enable-gen-simd-width=64 \
+--enable-simd=GPU \
+--disable-accelerator-cshift \
+--disable-fermion-reps \
+--disable-gparity \
+CXX=nvcc \
+MPICXX=mpicxx \
+LDFLAGS="-cudart shared " \
+CXXFLAGS="-ccbin mpicxx -gencode arch=compute_80,code=sm_80 -std=c++17 -cudart shared"
+
+
+

systems/SDCC-A100/sourceme.sh

@@ -0,0 +1,2 @@
+module load cuda/12.2
+module load openmpi

systems/SDCC-ARM/config-command-mpi

@@ -0,0 +1,6 @@
+HDF=$HOME/paboyle/install
+
+LDFLAGS=-L$HDF/lib CXX=clang++ ../../configure --enable-simd=NEONv8 --enable-comms=none --enable-unified=yes --disable-fermion-reps --disable-gparity --disable-debug --with-hdf5=$HDF 
+#LDFLAGS=-L$HDF/lib CXX=clang++ ../../configure --enable-simd=GEN --enable-comms=none --enable-unified=yes --disable-fermion-reps --disable-gparity --disable-debug --with-hdf5=$HDF 
+
+

systems/SDCC-ICE/bench.slurm

@@ -0,0 +1,31 @@
+#!/bin/bash
+#SBATCH --partition lqcd
+#SBATCH --time=00:20:00
+#SBATCH -A lqcdtest
+#SBATCH --exclusive
+#SBATCH --nodes=1
+#SBATCH --ntasks=2
+#SBATCH --qos lqcd
+
+source sourceme.sh
+
+export OMP_NUM_THREAD=24
+#srun -N1 -n1 numactl -H > numa.txt
+#srun -N1 -n1 lstopo ice-topo.pdf
+
+cat << EOF > select_socket
+#!/bin/bash
+export NUM_MAP=(0 1)
+export NUMA=\${NUMA_MAP[\$SLURM_LOCALID]}
+exec \$*
+EOF
+chmod +x ./select_socket
+
+#for vol in 8.8.8.16 8.8.8.32 8.8.8.64
+#for vol in 8.8.16.16 8.8.16.32 8.8.16.64
+for vol in 8.16.16.16 8.16.16.32 8.16.16.64 16.16.16.32 16.16.16.64 24.24.24.64 32.32.32.32
+do
+srun --cpu-bind=ldoms -N1 -n2 ./select_socket ./benchmarks/Benchmark_dwf_fp32 --mpi 1.1.1.2 --grid $vol --dslash-asm > $vol.2socket.out
+srun --cpu-bind=ldoms -N1 -n1 ./select_socket ./benchmarks/Benchmark_dwf_fp32 --mpi 1.1.1.1 --grid $vol --dslash-asm > $vol.1socket.out
+done
+

systems/SDCC-ICE/config-command

@@ -0,0 +1,19 @@
+../../configure \
+--enable-debug \
+--enable-comms=mpi-auto \
+--enable-unified=yes \
+--enable-shm=shmopen \
+--enable-shm-fast-path=shmopen \
+--enable-accelerator=none \
+--enable-simd=AVX512 \
+--disable-accelerator-cshift \
+--disable-fermion-reps \
+--disable-gparity \
+CXX=clang++ \
+MPICXX=mpicxx \
+LDFLAGS=-L/direct/sdcc+u/paboyle/spack/opt/spack/linux-almalinux8-icelake/gcc-8.5.0/hwloc-2.9.1-hgkscnt5pferhtde4ahctlupb6qf3vtl/lib/ \
+LIBS=-lhwloc \
+CXXFLAGS="-std=c++17"
+
+
+

systems/SDCC-ICE/sourceme.sh

@@ -0,0 +1,2 @@
+export LD_LIBRARY_PATH=/direct/sdcc+u/paboyle/spack/opt/spack/linux-almalinux8-icelake/gcc-8.5.0/llvm-12.0.1-agey6vtuw3e375rewhhobvkznjh5ltz4/lib/:$LD_LIBRARY_PATH
+module load openmpi

systems/mac-arm/config-command-mpi

@@ -1,4 +1,3 @@
-BREW=/opt/local/
+CXXFLAGS=-I/opt/local/include LDFLAGS=-L/opt/local/lib/ CXX=c++-13 MPICXX=mpicxx ../../configure --enable-simd=GEN --enable-comms=mpi-auto --enable-unified=yes --prefix $HOME/QCD/GridInstall --with-lime=/Users/peterboyle/QCD/SciDAC/install/ --with-openssl=$BREW --disable-fermion-reps --disable-gparity --disable-debug 
-MPICXX=mpicxx ../../configure --enable-simd=GEN --enable-comms=mpi-auto --enable-unified=yes --prefix $HOME/QCD/GridInstall --with-lime=/Users/peterboyle/QCD/SciDAC/install/ --with-openssl=$BREW --disable-fermion-reps --disable-gparity --disable-debug
 
 

tests/core/Test_sliceSum.cc

@@ -0,0 +1,321 @@
+#include <Grid/Grid.h>
+
+template<class vobj> inline void sliceSumCPU(const Grid::Lattice<vobj> &Data,std::vector<typename vobj::scalar_object> &result,int orthogdim)
+{
+  using namespace Grid;
+  ///////////////////////////////////////////////////////
+  // FIXME precision promoted summation
+  // may be important for correlation functions
+  // But easily avoided by using double precision fields
+  ///////////////////////////////////////////////////////
+  typedef typename vobj::scalar_object sobj;
+  typedef typename vobj::scalar_object::scalar_type scalar_type;
+  GridBase  *grid = Data.Grid();
+  assert(grid!=NULL);
+
+  const int    Nd = grid->_ndimension;
+  const int Nsimd = grid->Nsimd();
+
+  assert(orthogdim >= 0);
+  assert(orthogdim < Nd);
+
+  int fd=grid->_fdimensions[orthogdim];
+  int ld=grid->_ldimensions[orthogdim];
+  int rd=grid->_rdimensions[orthogdim];
+
+  Vector<vobj> lvSum(rd); // will locally sum vectors first
+  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 
+  for(int r=0;r<rd;r++){
+    lvSum[r]=Zero();
+  }
+
+  int e1=    grid->_slice_nblock[orthogdim];
+  int e2=    grid->_slice_block [orthogdim];
+  int stride=grid->_slice_stride[orthogdim];
+  int ostride=grid->_ostride[orthogdim];
+  
+  //Reduce Data down to lvSum
+  sliceSumReduction_cpu(Data,lvSum,rd, e1,e2,stride,ostride,Nsimd);
+
+  // Sum across simd lanes in the plane, breaking out orthog dir.
+  Coordinate icoor(Nd);
+
+  for(int rt=0;rt<rd;rt++){
+
+    extract(lvSum[rt],extracted);
+
+    for(int idx=0;idx<Nsimd;idx++){
+
+      grid->iCoorFromIindex(icoor,idx);
+
+      int ldx =rt+icoor[orthogdim]*rd;
+
+      lsSum[ldx]=lsSum[ldx]+extracted[idx];
+
+    }
+  }
+  
+  // sum over nodes.
+  for(int t=0;t<fd;t++){
+    int pt = t/ld; // processor plane
+    int lt = t%ld;
+    if ( pt == grid->_processor_coor[orthogdim] ) {
+      result[t]=lsSum[lt];
+    } else {
+      result[t]=Zero();
+    }
+
+  }
+  scalar_type * ptr = (scalar_type *) &result[0];
+  int words = fd*sizeof(sobj)/sizeof(scalar_type);
+  grid->GlobalSumVector(ptr, words);
+}
+
+
+int main (int argc, char ** argv) {
+    
+    using namespace Grid;
+
+    Grid_init(&argc,&argv);
+
+
+    Coordinate latt_size({64,64,64,16});
+    auto simd_layout = GridDefaultSimd(Nd, vComplexD::Nsimd());
+    auto mpi_layout = GridDefaultMpi();
+    GridCartesian Grid(latt_size, simd_layout, mpi_layout);
+
+    std::vector<int> seeds({1, 2, 3, 4});
+
+    GridParallelRNG pRNG(&Grid);
+    pRNG.SeedFixedIntegers(seeds);
+
+    LatticeComplexD test_data(&Grid);
+    gaussian(pRNG,test_data);
+
+    std::vector<TComplexD> reduction_reference;
+    std::vector<TComplexD> reduction_result;
+
+    //warmup
+    for (int sweeps = 0; sweeps < 5; sweeps++) {
+      reduction_result = sliceSum(test_data,0);
+    }
+
+    int trace_id = traceStart("sliceSum benchmark - ComplexD");
+    std::cout << GridLogMessage << "Testing ComplexD" << std::endl;
+    std::cout << GridLogMessage << "sizeof(ComplexD) = " << sizeof(ComplexD) << std::endl;
+    std::cout << GridLogMessage << "sizeof(vComplexD) = " << sizeof(vComplexD) << std::endl;
+    for (int i = 0; i < Nd; i++) {
+
+      RealD t=-usecond();
+
+      tracePush("sliceSum");
+      sliceSumCPU(test_data,reduction_reference,i);
+      tracePop("sliceSum");
+
+      t+=usecond();
+      std::cout << GridLogMessage << "Orthog. dir. = " << i << std::endl;
+      std::cout << GridLogMessage << "CPU sliceSum took "<<t<<" usecs"<<std::endl;
+      
+      
+      RealD tgpu=-usecond();
+
+      tracePush("sliceSumGpu");
+      reduction_result = sliceSum(test_data,i);
+      tracePop("sliceSumGpu");
+
+      tgpu+=usecond();
+
+      std::cout << GridLogMessage <<"GPU sliceSum took "<<tgpu<<" usecs"<<std::endl<<std::endl;;
+
+
+      for(int t=0;t<reduction_reference.size();t++) {
+
+        auto diff = reduction_reference[t]-reduction_result[t];
+        assert(abs(TensorRemove(diff)) < 1e-8 );
+
+      }
+
+    
+    }
+    traceStop(trace_id);
+
+    LatticeSpinVectorD test_data_cv(&Grid);
+    gaussian(pRNG,test_data_cv);
+
+    std::vector<SpinVectorD> reduction_reference_cv;
+    std::vector<SpinVectorD> reduction_result_cv;
+
+    //warmup
+    for (int sweeps = 0; sweeps < 5; sweeps++) {
+      reduction_result_cv = sliceSum(test_data_cv,0);
+    }
+    trace_id = traceStart("sliceSum benchmark - SpinVectorD");
+
+    std::cout << GridLogMessage << "Testing SpinVectorD" << std::endl;
+    std::cout << GridLogMessage << "sizeof(SpinVectorD) = " << sizeof(SpinVectorD) << std::endl;
+    std::cout << GridLogMessage << "sizeof(vSpinVectorD) = " << sizeof(vSpinVectorD) << std::endl;
+    for (int i = 0; i < Nd; i++) {
+
+      RealD t=-usecond();
+
+      tracePush("sliceSum");
+      sliceSumCPU(test_data_cv,reduction_reference_cv,i);
+      tracePop("sliceSum");
+
+      t+=usecond();
+      std::cout << GridLogMessage << "Orthog. dir. = " << i << std::endl;
+      std::cout << GridLogMessage << "CPU sliceSum took "<<t<<" usecs"<<std::endl;
+      
+      
+      RealD tgpu=-usecond();
+
+      tracePush("sliceSumGpu");
+      reduction_result_cv = sliceSum(test_data_cv,i);
+      tracePop("sliceSumGpu");
+
+      tgpu+=usecond();
+
+      std::cout << GridLogMessage <<"GPU sliceSum took "<<tgpu<<" usecs"<<std::endl<<std::endl;;
+
+
+      for(int t=0;t<reduction_reference_cv.size();t++) {
+
+        auto diff = reduction_reference_cv[t]-reduction_result_cv[t];
+        assert(abs(diff()(0)()) < 1e-8 );
+        assert(abs(diff()(1)()) < 1e-8 );
+        assert(abs(diff()(2)()) < 1e-8 );
+        assert(abs(diff()(3)()) < 1e-8 );
+
+      }
+
+    
+    }
+    traceStop(trace_id);
+
+    LatticeSpinColourVectorD test_data_scv(&Grid);
+    gaussian(pRNG,test_data_scv);
+
+    std::vector<SpinColourVectorD> reduction_reference_scv;
+    std::vector<SpinColourVectorD> reduction_result_scv;
+
+    //warmup
+    for (int sweeps = 0; sweeps < 5; sweeps++) {
+      reduction_result_scv = sliceSum(test_data_scv,0);
+    }
+    trace_id = traceStart("sliceSum benchmark - SpinColourVectorD");
+
+    std::cout << GridLogMessage << "Testing SpinColourVectorD" << std::endl;
+    std::cout << GridLogMessage << "sizeof(SpinColourVectorD) = " << sizeof(SpinColourVectorD) << std::endl;
+    std::cout << GridLogMessage << "sizeof(vSpinColourVectorD) = " << sizeof(vSpinColourVectorD) << std::endl;
+    for (int i = 0; i < Nd; i++) {
+
+      RealD t=-usecond();
+
+      tracePush("sliceSum");
+      sliceSumCPU(test_data_scv,reduction_reference_scv,i);
+      tracePop("sliceSum");
+
+      t+=usecond();
+      std::cout << GridLogMessage << "Orthog. dir. = " << i << std::endl;
+      std::cout << GridLogMessage << "CPU sliceSum took "<<t<<" usecs"<<std::endl;
+      
+      
+      RealD tgpu=-usecond();
+
+      tracePush("sliceSumGpu");
+      reduction_result_scv = sliceSum(test_data_scv,i);
+      tracePop("sliceSumGpu");
+
+      tgpu+=usecond();
+
+      std::cout << GridLogMessage <<"GPU sliceSum took "<<tgpu<<" usecs"<<std::endl<<std::endl;;
+
+
+      for(int t=0;t<reduction_reference_scv.size();t++) {
+
+        auto diff = reduction_reference_scv[t]-reduction_result_scv[t];
+        // std::cout << diff <<std::endl;
+        assert(abs(diff()(0)(0)) < 1e-8 );
+        assert(abs(diff()(0)(1)) < 1e-8 );
+        assert(abs(diff()(0)(2)) < 1e-8 );
+        assert(abs(diff()(1)(0)) < 1e-8 );
+        assert(abs(diff()(1)(1)) < 1e-8 );
+        assert(abs(diff()(1)(2)) < 1e-8 );    
+        assert(abs(diff()(2)(0)) < 1e-8 );
+        assert(abs(diff()(2)(1)) < 1e-8 );
+        assert(abs(diff()(2)(2)) < 1e-8 );    
+        assert(abs(diff()(3)(0)) < 1e-8 );
+        assert(abs(diff()(3)(1)) < 1e-8 );
+        assert(abs(diff()(3)(2)) < 1e-8 );
+
+      }
+
+    
+    }
+    traceStop(trace_id);
+
+    LatticeSpinColourMatrixD test_data_scm(&Grid);
+    gaussian(pRNG,test_data_scm);
+
+    std::vector<SpinColourMatrixD> reduction_reference_scm;
+    std::vector<SpinColourMatrixD> reduction_result_scm;
+
+    //warmup
+    for (int sweeps = 0; sweeps < 5; sweeps++) {
+      reduction_result_scm = sliceSum(test_data_scm,0);
+    }
+    trace_id = traceStart("sliceSum benchmark - SpinColourMatrixD");
+
+    std::cout << GridLogMessage << "Testing SpinColourMatrixD" << std::endl;
+    std::cout << GridLogMessage << "sizeof(SpinColourMatrixD) = " << sizeof(SpinColourMatrixD) << std::endl;
+    std::cout << GridLogMessage << "sizeof(vSpinColourMatrixD) = " << sizeof(vSpinColourMatrixD) << std::endl;
+    for (int i = 0; i < Nd; i++) {
+
+      RealD t=-usecond();
+
+      tracePush("sliceSum");
+      sliceSumCPU(test_data_scm,reduction_reference_scm,i);
+      tracePop("sliceSum");
+
+      t+=usecond();
+      std::cout << GridLogMessage << "Orthog. dir. = " << i << std::endl;
+      std::cout << GridLogMessage << "CPU sliceSum took "<<t<<" usecs"<<std::endl;
+      
+      
+      RealD tgpu=-usecond();
+
+      tracePush("sliceSumGpu");
+      reduction_result_scm = sliceSum(test_data_scm,i);
+      tracePop("sliceSumGpu");
+
+      tgpu+=usecond();
+
+      std::cout << GridLogMessage <<"GPU sliceSum took "<<tgpu<<" usecs"<<std::endl<<std::endl;;
+
+
+      for(int t=0;t<reduction_reference_scm.size();t++) {
+
+        auto diff = reduction_reference_scm[t]-reduction_result_scm[t];
+        // std::cout << diff <<std::endl;
+        for (int is = 0; is < Ns; is++) {
+          for (int js = 0; js < Ns; js++) {
+            for (int ic = 0; ic < Nc; ic++) {
+              for (int jc = 0; jc < Nc; jc++) {
+                assert(abs(diff()(is,js)(ic,jc)) < 1e-8);
+              }
+            }
+          }
+        }
+
+      }
+
+    
+    }
+    traceStop(trace_id);
+
+    Grid_finalize();
+    return 0;
+}

tests/debug/Test_padded_cell.cc

@@ -32,6 +32,7 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
 using namespace std;
 using namespace Grid;
 
+// This is to optimize the SIMD
 template<class vobj> void gpermute(vobj & inout,int perm){
   vobj tmp=inout;
   if (perm & 0x1 ) { permute(inout,tmp,0); tmp=inout;}
@@ -40,6 +41,7 @@ template<class vobj> void gpermute(vobj & inout,int perm){
   if (perm & 0x8 ) { permute(inout,tmp,3); tmp=inout;}
 }
 
+
 int main (int argc, char ** argv)
 {
   Grid_init(&argc,&argv);
@@ -47,20 +49,21 @@ int main (int argc, char ** argv)
   Coordinate latt_size  = GridDefaultLatt();
   Coordinate simd_layout= GridDefaultSimd(Nd,vComplexD::Nsimd());
   Coordinate mpi_layout = GridDefaultMpi();
-  std::cout << " mpi "<<mpi_layout<<std::endl;
+  std::cout << GridLogMessage << " mpi "<<mpi_layout<<std::endl;
-  std::cout << " simd "<<simd_layout<<std::endl;
+  std::cout << GridLogMessage << " simd "<<simd_layout<<std::endl;
-  std::cout << " latt "<<latt_size<<std::endl;
+  std::cout << GridLogMessage << " latt "<<latt_size<<std::endl;
   GridCartesian GRID(latt_size,simd_layout,mpi_layout);
 
+  // Initialize configuration as hot start.
   GridParallelRNG   pRNG(&GRID);
-  pRNG.SeedFixedIntegers(std::vector<int>({45,12,81,9}));
   LatticeGaugeField Umu(&GRID);
-
+  pRNG.SeedFixedIntegers(std::vector<int>({45,12,81,9}));
   SU<Nc>::HotConfiguration(pRNG,Umu);
 
   Real plaq=WilsonLoops<PeriodicGimplR>::avgPlaquette(Umu);
   LatticeComplex trplaq(&GRID);
 
+  // Store Umu in U. Peek/Poke mean respectively getElement/setElement.
   std::vector<LatticeColourMatrix> U(Nd, Umu.Grid());
   for (int mu = 0; mu < Nd; mu++) {
     U[mu] = PeekIndex<LorentzIndex>(Umu, mu);
@@ -70,9 +73,7 @@ int main (int argc, char ** argv)
 
   LatticeComplex cplaq(&GRID); cplaq=Zero();
 
-  /////////////////////////////////////////////////
   // Create a padded cell of extra padding depth=1
-  /////////////////////////////////////////////////
   int depth = 1;
   PaddedCell Ghost(depth,&GRID);
   LatticeGaugeField Ughost = Ghost.Exchange(Umu);
@@ -114,18 +115,25 @@ int main (int argc, char ** argv)
   }
 #endif
 
-  ///// Array for the site plaquette
+  // Array for the site plaquette
   GridBase *GhostGrid = Ughost.Grid();
   LatticeComplex gplaq(GhostGrid); 
 
+  // Now we're going to put together the "stencil" that will be useful to us when
+  // calculating the plaquette. Our eventual goal is to make the product
+  //    Umu(x) Unu(x+mu) Umu^dag(x+nu) Unu^dag(x),
+  // which requires, in order, the sites x, x+mu, x+nu, and x. We arrive at these
+  // sites relative to x through "shifts", which is represented here by a 4-d
+  // vector of 0s (no movement) and 1s (shift one unit) at each site. The
+  // "stencil" is the set of all these shifts.
   std::vector<Coordinate> shifts;
   for(int mu=0;mu<Nd;mu++){
     for(int nu=mu+1;nu<Nd;nu++){
-  
-      //    Umu(x) Unu(x+mu) Umu^dag(x+nu) Unu^dag(x)
       Coordinate shift_0(Nd,0);
       Coordinate shift_mu(Nd,0); shift_mu[mu]=1;
       Coordinate shift_nu(Nd,0); shift_nu[nu]=1;
+      // push_back creates an element at the end of shifts and
+      // assigns the data in the argument to it.
       shifts.push_back(shift_0);
       shifts.push_back(shift_mu);
       shifts.push_back(shift_nu);
@@ -135,10 +143,15 @@ int main (int argc, char ** argv)
   GeneralLocalStencil gStencil(GhostGrid,shifts);
 
   gplaq=Zero();
-  {
+
+  // Before doing accelerator stuff, there is an opening and closing of "Views". I guess the
+  // "Views" are stored in *_v variables listed below.
   autoView( gp_v , gplaq, CpuWrite);
   autoView( t_v , trplaq, CpuRead);
   autoView( U_v , Ughost, CpuRead);
+
+  // This is now a loop over stencil shift elements. That is, s increases as we make our
+  // way through the spacetimes sites, but also as we make our way around the plaquette.
   for(int ss=0;ss<gp_v.size();ss++){
     int s=0;
     for(int mu=0;mu<Nd;mu++){
@@ -149,6 +162,7 @@ int main (int argc, char ** argv)
     	  auto SE2 = gStencil.GetEntry(s+2,ss);
     	  auto SE3 = gStencil.GetEntry(s+3,ss);
 
+        // Due to our strategy, each offset corresponds to a site.
     	  int o0 = SE0->_offset;
     	  int o1 = SE1->_offset;
     	  int o2 = SE2->_offset;
@@ -169,7 +183,11 @@ int main (int argc, char ** argv)
     	}
     }
   }
-  }
+
+  // Here is my understanding of this part: The padded cell has its own periodic BCs, so
+  // if I take a step to the right at the right-most side of the cell, I end up on the
+  // left-most side. This means that the plaquettes in the padding are wrong. Luckily
+  // all we care about are the plaquettes in the cell, which we obtain from Extract.
   cplaq = Ghost.Extract(gplaq);
   RealD vol = cplaq.Grid()->gSites();
   RealD faces = (Nd * (Nd-1))/2;

tests/hmc/Test_hmc_WilsonGauge.cc

@@ -83,15 +83,8 @@ int main(int argc, char **argv)
   // need wrappers of the fermionic classes 
   // that have a complex construction
   // standard
-  RealD beta = 6.6 ; 
+  RealD beta = 5.6 ;
-
-#if 0
   WilsonGaugeActionR Waction(beta);
-#else
-  std::vector<Complex> boundaryG = {1,1,1,0};
-  WilsonGaugeActionR::ImplParams ParamsG(boundaryG);
-  WilsonGaugeActionR Waction(beta,ParamsG);
-#endif
   
   ActionLevel<HMCWrapper::Field> Level1(1);
   Level1.push_back(&Waction);

tests/hmc/Test_hmc_WilsonGauge_Implicit.cc

@@ -1,238 +0,0 @@
-/*************************************************************************************
-
-Grid physics library, www.github.com/paboyle/Grid
-
-Source file: ./tests/Test_hmc_WilsonFermionGauge.cc
-
-Copyright (C) 2015
-
-Author: Peter Boyle <pabobyle@ph.ed.ac.uk>
-Author: neo <cossu@post.kek.jp>
-Author: Guido Cossu <guido.cossu@ed.ac.uk>
-
-This program is free software; you can redistribute it and/or modify
-it under the terms of the GNU General Public License as published by
-the Free Software Foundation; either version 2 of the License, or
-(at your option) any later version.
-
-This program is distributed in the hope that it will be useful,
-but WITHOUT ANY WARRANTY; without even the implied warranty of
-MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-GNU General Public License for more details.
-
-You should have received a copy of the GNU General Public License along
-with this program; if not, write to the Free Software Foundation, Inc.,
-51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-See the full license in the file "LICENSE" in the top level distribution
-directory
-*************************************************************************************/
-/*  END LEGAL */
-#include <Grid/Grid.h>
-
-#undef USE_OBC
-#define DO_IMPLICIT
-
-
-int main(int argc, char **argv) 
-{
-  using namespace Grid;
-
-  Grid_init(&argc, &argv);
-  GridLogLayout();
-  
-  std::string arg;
- 
-  HMCparameters HMCparams;
-#if 1
-  {
-    XmlReader  HMCrd("HMCparameters.xml");
-    read(HMCrd,"HMCparameters",HMCparams);
-  }
-#else
-//IntegratorParameters MD;
-  std::vector<int> steps(0);
-  if( GridCmdOptionExists(argv,argv+argc,"--MDsteps") ){
-    arg= GridCmdOptionPayload(argv,argv+argc,"--MDsteps");
-    GridCmdOptionIntVector(arg,steps);
-    assert(steps.size()==1);
-  }
-  MD.trajL   = 0.001*std::sqrt(2.);
-  MD.MDsteps = 1;
-  if (steps.size()>0) MD.MDsteps = steps[0];
-  if( GridCmdOptionExists(argv,argv+argc,"--trajL") ){
-    arg= GridCmdOptionPayload(argv,argv+argc,"--trajL");
-    std::vector<int> traj(0);
-    GridCmdOptionIntVector(arg,traj);
-    assert(traj.size()==1);
-    MD.trajL *= double(traj[0]);
-  }
-  MD.RMHMCTol=1e-8;
-  MD.RMHMCCGTol=1e-8;
-  std::cout << "RMHMCTol= "<<  MD.RMHMCTol<<" RMHMCCGTol= "<<MD.RMHMCCGTol<<std::endl;
-
-  HMCparameters HMCparams;
-  HMCparams.StartTrajectory  = 0;
-  HMCparams.Trajectories     = 1;
-  HMCparams.NoMetropolisUntil=  100;
-  // "[HotStart, ColdStart, TepidStart, CheckpointStart]\n";
-  HMCparams.StartingType     =std::string("ColdStart");
-  HMCparams.Kappa=0.01; //checking against trivial. Pathetic.
-  HMCparams.MD = MD;
-#endif
-
-
-
-   // Typedefs to simplify notation
-#ifdef DO_IMPLICIT
-  typedef GenericHMCRunner<ImplicitMinimumNorm2> HMCWrapper;  // Uses the default minimum norm
-//  typedef GenericHMCRunner<ImplicitCampostrini> HMCWrapper;  // 4th order
-  HMCparams.MD.name    = std::string("ImplicitMinimumNorm2");
-#else
-  typedef GenericHMCRunner<MinimumNorm2> HMCWrapper;  // Uses the default minimum norm
-  HMCparams.MD.name    = std::string("MinimumNorm2");
-#endif
-
-
-
-  // Possibile to create the module by hand 
-  // hardcoding parameters or using a Reader
-
-
-  // Checkpointer definition
-  CheckpointerParameters CPparams;  
-  CPparams.config_prefix = "ckpoint_lat";
-  CPparams.rng_prefix = "ckpoint_rng";
-  CPparams.saveInterval = 1;
-  CPparams.format = "IEEE64BIG";
-  
-  HMCWrapper TheHMC(HMCparams);
-  // Grid from the command line
-  TheHMC.Resources.AddFourDimGrid("gauge");
-  TheHMC.Resources.LoadNerscCheckpointer(CPparams);
-
-  RNGModuleParameters RNGpar;
-  RNGpar.serial_seeds = "1 2 3 4 5";
-  RNGpar.parallel_seeds = "6 7 8 9 10";
-  TheHMC.Resources.SetRNGSeeds(RNGpar);
-
-  // Construct observables
-  // here there is too much indirection 
-  typedef PlaquetteMod<HMCWrapper::ImplPolicy> PlaqObs;
-  typedef TopologicalChargeMod<HMCWrapper::ImplPolicy> QObs;
-  TheHMC.Resources.AddObservable<PlaqObs>();
-  TopologyObsParameters TopParams;
-  TopParams.interval = 1;
-  TopParams.do_smearing = true;
-//  TopParams.Smearing.steps = 1600;
-//  TopParams.Smearing.step_size = 0.01;
-  TopParams.Smearing.init_step_size = 0.01;
-  TopParams.Smearing.meas_interval = 10;
-  TopParams.Smearing.maxTau = 16.0; 
-//  TheHMC.Resources.AddObservable<QObs>(TopParams);
-  //////////////////////////////////////////////
-
-  /////////////////////////////////////////////////////////////
-  // Collect actions, here use more encapsulation
-  // need wrappers of the fermionic classes 
-  // that have a complex construction
-  // standard
-
-  RealD beta = 6.6;
-  std::cout << "Wilson Gauge beta= " <<beta <<std::endl;
-#ifndef USE_OBC
-  WilsonGaugeActionR Waction(beta);
-#else
-  std::vector<Complex> boundaryG = {1,1,1,0};
-  WilsonGaugeActionR::ImplParams ParamsG(boundaryG);
-  WilsonGaugeActionR Waction(beta,ParamsG);
-  std::cout << "boundaryG = " <<boundaryG  <<std::endl;
-#endif
-
-  
-  ActionLevel<HMCWrapper::Field> Level1(1);
-  Level1.push_back(&Waction);
-  TheHMC.TheAction.push_back(Level1);
-
-  TheHMC.ReadCommandLine(argc, argv); // these can be parameters from file
-  std::cout << "trajL= " <<TheHMC.Parameters.MD.trajL <<" steps= "<<TheHMC.Parameters.MD.MDsteps << " integrator= "<<TheHMC.Parameters.MD.name<<std::endl;
-
-  NoSmearing<HMCWrapper::ImplPolicy> S;
-#ifndef DO_IMPLICIT
-  TrivialMetric<HMCWrapper::ImplPolicy::Field> Mtr;
-#else
-// g_x3_2
-    LaplacianRatParams gpar(2),mpar(2);
-    gpar.offset = 1.;
-    gpar.a0[0] = 500.;
-    gpar.a1[0] = 0.;
-    gpar.b0[0] = 0.25;
-    gpar.b1[0] = 1.;
-    gpar.a0[1] = -500.;
-    gpar.a1[1] = 0.;
-    gpar.b0[1] = 0.36;
-    gpar.b1[1] = 1.2;
-    gpar.b2=1.;
-
-    mpar.offset = 1.;
-    mpar.a0[0] =  -0.850891906532;
-    mpar.a1[0] = -1.54707654538;
-    mpar. b0[0] = 2.85557166137;
-    mpar. b1[0] = 5.74194794773;
-    mpar.a0[1] = -13.5120056831218384729709214298;
-    mpar.a1[1] = 1.54707654538396877086370295729;
-    mpar.b0[1] = 19.2921090880640520026645390317;
-    mpar.b1[1] = -3.54194794773029020262811172870;
-    mpar.b2=1.;
-    for(int i=0;i<2;i++){
-       gpar.a1[i] *=16.;
-       gpar.b1[i] *=16.;
-       mpar.a1[i] *=16.;
-       mpar.b1[i] *=16.;
-    }
-    gpar.b2 *= 16.*16.;
-    mpar.b2 *= 16.*16.;
-
-    ConjugateGradient<LatticeGaugeField> CG(1.0e-8,10000);
-    LaplacianParams LapPar(0.0001, 1.0, 10000, 1e-8, 12, 64);
-
-    std::cout << GridLogMessage << "LaplacianRat " << std::endl;
-
-    gpar.tolerance=HMCparams.MD.RMHMCCGTol;
-    mpar.tolerance=HMCparams.MD.RMHMCCGTol;
-
-    std::cout << GridLogMessage << "gpar offset= " << gpar.offset <<std::endl;
-    std::cout << GridLogMessage << " a0= " << gpar.a0 <<std::endl;
-    std::cout << GridLogMessage << " a1= " << gpar.a1 <<std::endl;
-    std::cout << GridLogMessage << " b0= " << gpar.b0 <<std::endl;
-    std::cout << GridLogMessage << " b1= " << gpar.b1 <<std::endl;
-    std::cout << GridLogMessage << " b2= " << gpar.b2 <<std::endl ;;
-
-    std::cout << GridLogMessage << "mpar offset= " << mpar.offset <<std::endl;
-    std::cout << GridLogMessage << " a0= " << mpar.a0 <<std::endl;
-    std::cout << GridLogMessage << " a1= " << mpar.a1 <<std::endl;
-    std::cout << GridLogMessage << " b0= " << mpar.b0 <<std::endl;
-    std::cout << GridLogMessage << " b1= " << mpar.b1 <<std::endl;
-    std::cout << GridLogMessage << " b2= " << mpar.b2 <<std::endl;
-//  Assumes PeriodicGimplR or D at the moment
-    Coordinate latt  = GridDefaultLatt();
-    Coordinate mpi   = GridDefaultMpi();
-    auto UGrid = TheHMC.Resources.GetCartesian("gauge");
-    Coordinate simdF = GridDefaultSimd(Nd,vComplexF::Nsimd());
-    auto UGrid_f   = SpaceTimeGrid::makeFourDimGrid(latt,simdF,mpi);
-    std::cout << GridLogMessage << " UGrid= " << UGrid <<std::endl;
-    std::cout << GridLogMessage << " UGrid_f= " << UGrid_f <<std::endl;
-
-    LaplacianAdjointRat<HMCWrapper::ImplPolicy, PeriodicGimplF> Mtr(UGrid, UGrid_f,CG, gpar, mpar);
-#endif
- 
-  {
-    XmlWriter HMCwr("HMCparameters.xml.out");
-    write(HMCwr,"HMCparameters",TheHMC.Parameters);
-  }
-
-  TheHMC.Run(S,Mtr);  // no smearing
-
-  Grid_finalize();
-
-} // main

tests/smearing/Test_fatLinks.cc

@@ -0,0 +1,181 @@
+/*************************************************************************************
+
+Grid physics library, www.github.com/paboyle/Grid
+
+Source file: ./tests/smearing/Test_fatLinks.cc
+
+Copyright (C) 2023
+
+Author: D. A. Clarke <clarke.davida@gmail.com> 
+
+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
+*************************************************************************************/
+/*
+    @file Test_fatLinks.cc
+    @brief test of the HISQ smearing 
+*/
+
+
+#include <Grid/Grid.h>
+#include <Grid/lattice/PaddedCell.h>
+#include <Grid/stencil/GeneralLocalStencil.h>
+#include <Grid/qcd/smearing/HISQSmearing.h>
+using namespace Grid;
+
+
+/*!  @brief parameter file to easily adjust Nloop */
+struct ConfParameters: Serializable {
+    GRID_SERIALIZABLE_CLASS_MEMBERS(
+        ConfParameters,
+        int, benchmark, 
+        int, Nloop);
+
+    template <class ReaderClass>
+    ConfParameters(Reader<ReaderClass>& Reader){
+        read(Reader, "parameters", *this);
+    }
+};
+
+
+bool testSmear(GridCartesian& GRID, LatticeGaugeFieldD Umu, LatticeGaugeFieldD Usmr, LatticeGaugeFieldD Unaik, 
+               LatticeGaugeFieldD Ucontrol, Real c1, Real cnaik, Real c3, Real c5, Real c7, Real clp) {
+    Smear_HISQ<PeriodicGimplD> hisq_fat(&GRID,c1,cnaik,c3,c5,c7,clp);
+    LatticeGaugeFieldD diff(&GRID), Uproj(&GRID);
+    hisq_fat.smear(Usmr, Unaik, Umu);
+    bool result;
+    if (cnaik < 1e-30) { // Testing anything but Naik term
+        diff = Ucontrol-Usmr;
+        auto absDiff = norm2(diff)/norm2(Ucontrol);
+        if (absDiff < 1e-30) {
+            Grid_pass(" |Umu-Usmr|/|Umu| = ",absDiff);
+            result = true;
+        } else {
+            Grid_error(" |Umu-Usmr|/|Umu| = ",absDiff);
+            result = false;
+        }
+    } else { // Testing Naik specifically
+        diff = Ucontrol-Unaik;
+        auto absDiff = norm2(diff)/norm2(Ucontrol);
+        if (absDiff < 1e-30) {
+            Grid_pass(" |Umu-Unaik|/|Umu| = ",absDiff);
+            result = true;
+        } else {
+            Grid_error(" |Umu-Unaik|/|Umu| = ",absDiff);
+            result = false;
+        }
+        hisq_fat.projectU3(Uproj,Ucontrol);
+//        NerscIO::writeConfiguration(Unaik,"nersc.l8t4b3360.naik");
+    }
+    return result;
+}
+
+
+int main (int argc, char** argv) {
+
+    // Params for the test.
+    int Ns = 8;
+    int Nt = 4;
+    Coordinate latt_size(Nd,0); latt_size[0]=Ns; latt_size[1]=Ns; latt_size[2]=Ns; latt_size[3]=Nt;
+    std::string conf_in  = "nersc.l8t4b3360";
+    int threads          = GridThread::GetThreads();
+
+    typedef LatticeGaugeFieldD LGF;
+
+    // Initialize the Grid
+    Grid_init(&argc,&argv);
+    Coordinate simd_layout = GridDefaultSimd(Nd,vComplexD::Nsimd());
+    Coordinate mpi_layout  = GridDefaultMpi();
+    Grid_log("mpi     = ",mpi_layout);
+    Grid_log("simd    = ",simd_layout);
+    Grid_log("latt    = ",latt_size);
+    Grid_log("threads = ",threads);
+    GridCartesian GRID(latt_size,simd_layout,mpi_layout);
+
+    XmlReader Reader("fatParams.xml",false,"grid");
+    ConfParameters param(Reader);
+    if(param.benchmark) Grid_log("  Nloop = ",param.Nloop);
+
+    LGF Umu(&GRID), Usmr(&GRID), Unaik(&GRID), Ucontrol(&GRID);
+
+    // Read the configuration into Umu
+    FieldMetaData header;
+    NerscIO::readConfiguration(Umu, header, conf_in);
+
+    bool pass=true;
+
+    // Carry out various tests    
+    NerscIO::readConfiguration(Ucontrol, header, "nersc.l8t4b3360.357lplink.control");
+    pass *= testSmear(GRID,Umu,Usmr,Unaik,Ucontrol,1/8.,0.,1/16.,1/64.,1/384.,-1/8.);
+    NerscIO::readConfiguration(Ucontrol, header, "nersc.l8t4b3360.357link.control");
+    pass *= testSmear(GRID,Umu,Usmr,Unaik,Ucontrol,1/8.,0.,1/16.,1/64.,1/384.,0.);
+    NerscIO::readConfiguration(Ucontrol, header, "nersc.l8t4b3360.35link.control");
+    pass *= testSmear(GRID,Umu,Usmr,Unaik,Ucontrol,1/8.,0.,1/16.,1/64.,0.,0.);
+    NerscIO::readConfiguration(Ucontrol, header, "nersc.l8t4b3360.3link.control");
+    pass *= testSmear(GRID,Umu,Usmr,Unaik,Ucontrol,1/8.,0.,1/16.,0.,0.,0.);
+    NerscIO::readConfiguration(Ucontrol, header, "nersc.l8t4b3360.naik.control");
+    pass *= testSmear(GRID,Umu,Usmr,Unaik,Ucontrol,0.,0.8675309,0.,0.,0.,0.);
+
+    if(pass){
+        Grid_pass("All tests passed.");
+    } else {
+        Grid_error("At least one test failed.");
+    }
+
+    // Test a C-style instantiation 
+    double path_coeff[6] = {1, 2, 3, 4, 5, 6};
+    Smear_HISQ<PeriodicGimplD> hisq_fat_Cstyle(&GRID,path_coeff);
+
+    if (param.benchmark) {
+
+        autoView(U_v, Umu, CpuRead); // Gauge accessor
+
+        // Read in lattice sequentially, Nloop times 
+        double lookupTime = 0.; 
+        for(int i=0;i<param.Nloop;i++) {
+            double start = usecond();
+            for(int ss=0;ss<U_v.size();ss++)
+                for(int mu=0;mu<Nd;mu++) {
+                    auto U1 = U_v[ss](mu);
+            }
+            double stop  = usecond();
+        	lookupTime += stop-start; // microseconds
+        }
+        Grid_log("Time to lookup: ",lookupTime,"[ms]");
+
+        // Raise a matrix to the power nmat, for each link. 
+        auto U1 = U_v[0](0);
+        for(int nmat=1;nmat<8;nmat++) {
+            double multTime = 0.; 
+            for(int i=0;i<param.Nloop;i++) {
+                double start=usecond();
+                for(int ss=0;ss<U_v.size();ss++)
+                    for(int mu=0;mu<Nd;mu++) {
+                        auto U2 = U1;
+                        for(int j=1;j<nmat;j++) {
+                            U2 *= U1;
+                        }
+                }
+                double stop=usecond();
+                multTime += stop-start;
+            }
+            Grid_log("Time to multiply ",nmat," matrices: ",multTime," [ms]");
+        }
+    }
+
+    Grid_finalize();
+}