Merge branch 'develop' of https://github.com/paboyle/Grid into develop

TODO

@@ -3,19 +3,19 @@ TODO:
 
 Large item work list:
 
-1)- BG/Q port and check
+1)- BG/Q port and check ; Andrew says ok.
 2)- Christoph's local basis expansion Lanczos
-3)- Precision conversion and sort out localConvert      <-- partial
-
-  - Consistent linear solver flop count/rate -- PARTIAL, time but no flop/s yet
+--
+3a)- RNG I/O in ILDG/SciDAC (minor)
+3b)- Precision conversion and sort out localConvert      <-- partial/easy
+3c)- Consistent linear solver flop count/rate -- PARTIAL, time but no flop/s yet
 4)- Physical propagator interface
 5)- Conserved currents
 6)- Multigrid Wilson and DWF, compare to other Multigrid implementations
 7)- HDCR resume
 
 Recent DONE 
-
--- MultiRHS with spread out extra dim -- Go through filesystem with SciDAC I/O.  <--- DONE
+-- MultiRHS with spread out extra dim -- Go through filesystem with SciDAC I/O ; <-- DONE ; bmark cori
 -- Lanczos Remove DenseVector, DenseMatrix; Use Eigen instead. <-- DONE
 -- GaugeFix into central location                      <-- DONE
 -- Scidac and Ildg metadata handling                   <-- DONE

benchmarks/Benchmark_staggered.cc

@@ -40,7 +40,7 @@ int main (int argc, char ** argv)
   std::vector<int> simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
   std::vector<int> mpi_layout  = GridDefaultMpi();
   GridCartesian               Grid(latt_size,simd_layout,mpi_layout);
-  GridRedBlackCartesian     RBGrid(latt_size,simd_layout,mpi_layout);
+  GridRedBlackCartesian     RBGrid(&Grid);
 
   int threads = GridThread::GetThreads();
   std::cout<<GridLogMessage << "Grid is setup to use "<<threads<<" threads"<<std::endl;

benchmarks/Benchmark_wilson.cc

@@ -58,7 +58,7 @@ int main (int argc, char ** argv)
   std::vector<int> simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
   std::vector<int> mpi_layout  = GridDefaultMpi();
   GridCartesian               Grid(latt_size,simd_layout,mpi_layout);
-  GridRedBlackCartesian     RBGrid(latt_size,simd_layout,mpi_layout);
+  GridRedBlackCartesian     RBGrid(&Grid);
 
   int threads = GridThread::GetThreads();
   std::cout<<GridLogMessage << "Grid is setup to use "<<threads<<" threads"<<std::endl;

benchmarks/Benchmark_wilson_sweep.cc

@@ -93,7 +93,7 @@ int main (int argc, char ** argv)
 	  std::cout << latt_size.back() << "\t\t";
 
 	  GridCartesian           Grid(latt_size,simd_layout,mpi_layout);
-	  GridRedBlackCartesian RBGrid(latt_size,simd_layout,mpi_layout);
+	  GridRedBlackCartesian RBGrid(&Grid);
 
 	  GridParallelRNG  pRNG(&Grid); pRNG.SeedFixedIntegers(seeds);
 	  LatticeGaugeField Umu(&Grid); random(pRNG,Umu);

lib/algorithms/Algorithms.h

@@ -37,6 +37,7 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
 #include <Grid/algorithms/approx/Chebyshev.h>
 #include <Grid/algorithms/approx/Remez.h>
 #include <Grid/algorithms/approx/MultiShiftFunction.h>
+#include <Grid/algorithms/approx/Forecast.h>
 
 #include <Grid/algorithms/iterative/ConjugateGradient.h>
 #include <Grid/algorithms/iterative/ConjugateResidual.h>
@@ -44,31 +45,16 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
 #include <Grid/algorithms/iterative/SchurRedBlack.h>
 #include <Grid/algorithms/iterative/ConjugateGradientMultiShift.h>
 #include <Grid/algorithms/iterative/ConjugateGradientMixedPrec.h>
+#include <Grid/algorithms/iterative/BlockConjugateGradient.h>
 #include <Grid/algorithms/iterative/ConjugateGradientReliableUpdate.h>
-
-// Lanczos support
-//#include <Grid/algorithms/iterative/MatrixUtils.h>
 #include <Grid/algorithms/iterative/ImplicitlyRestartedLanczos.h>
 #include <Grid/algorithms/CoarsenedMatrix.h>
 #include <Grid/algorithms/FFT.h>
 
-// Eigen/lanczos
 // EigCg
-// MCR
 // Pcg
-// Multishift CG
 // Hdcg
 // GCR
 // etc..
 
-// integrator/Leapfrog
-// integrator/Omelyan
-// integrator/ForceGradient
-
-// montecarlo/hmc
-// montecarlo/rhmc
-// montecarlo/metropolis
-// etc...
-
-
 #endif

lib/algorithms/FFT.h

@@ -230,6 +230,7 @@ namespace Grid {
       // Barrel shift and collect global pencil
       std::vector<int> lcoor(Nd), gcoor(Nd);
       result = source;
+      int pc = processor_coor[dim];
       for(int p=0;p<processors[dim];p++) {
         PARALLEL_REGION
         {
@@ -240,7 +241,8 @@ namespace Grid {
           for(int idx=0;idx<sgrid->lSites();idx++) {
             sgrid->LocalIndexToLocalCoor(idx,cbuf);
             peekLocalSite(s,result,cbuf);
-            cbuf[dim]+=p*L;
+	    cbuf[dim]+=((pc+p) % processors[dim])*L;
+	    //            cbuf[dim]+=p*L;
             pokeLocalSite(s,pgbuf,cbuf);
           }
         }
@@ -278,7 +280,6 @@ namespace Grid {
       flops+= flops_call*NN;
       
       // writing out result
-      int pc = processor_coor[dim];
       PARALLEL_REGION
       {
         std::vector<int> clbuf(Nd), cgbuf(Nd);

lib/algorithms/LinearOperator.h

@@ -162,15 +162,10 @@ namespace Grid {
 	_Mat.M(in,out);
       }
       void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2){
-	ComplexD dot;
-
 	_Mat.M(in,out);
 	
-	dot= innerProduct(in,out);
-	n1=real(dot);
-
-	dot = innerProduct(out,out);
-	n2=real(dot);
+	ComplexD dot= innerProduct(in,out); n1=real(dot);
+	n2=norm2(out);
       }
       void HermOp(const Field &in, Field &out){
 	_Mat.M(in,out);
@@ -192,10 +187,10 @@ namespace Grid {
 	ni=Mpc(in,tmp);
 	no=MpcDag(tmp,out);
       }
-      void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2){
+      virtual void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2){
 	MpcDagMpc(in,out,n1,n2);
       }
-      void HermOp(const Field &in, Field &out){
+      virtual void HermOp(const Field &in, Field &out){
 	RealD n1,n2;
 	HermOpAndNorm(in,out,n1,n2);
       }
@@ -212,7 +207,6 @@ namespace Grid {
       void OpDir  (const Field &in, Field &out,int dir,int disp) {
 	assert(0);
       }
-
     };
     template<class Matrix,class Field>
       class SchurDiagMooeeOperator :  public SchurOperatorBase<Field> {
@@ -270,7 +264,6 @@ namespace Grid {
 	return axpy_norm(out,-1.0,tmp,in);
       }
     };
-
     template<class Matrix,class Field>
       class SchurDiagTwoOperator :  public SchurOperatorBase<Field> {
     protected:
@@ -299,6 +292,45 @@ namespace Grid {
 	return axpy_norm(out,-1.0,tmp,in);
       }
     };
+    ///////////////////////////////////////////////////////////////////////////////////////////////////
+    // 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
+    ///////////////////////////////////////////////////////////////////////////////////////////////////
+    template<class Matrix,class Field> using SchurDiagOneRH = SchurDiagTwoOperator<Matrix,Field> ;
+    template<class Matrix,class Field> using SchurDiagOneLH = SchurDiagOneOperator<Matrix,Field> ;
+    ///////////////////////////////////////////////////////////////////////////////////////////////////
+    //  Staggered use
+    ///////////////////////////////////////////////////////////////////////////////////////////////////
+    template<class Matrix,class Field>
+      class SchurStaggeredOperator :  public SchurOperatorBase<Field> {
+    protected:
+      Matrix &_Mat;
+    public:
+      SchurStaggeredOperator (Matrix &Mat): _Mat(Mat){};
+      virtual void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2){
+	n2 = Mpc(in,out);
+	ComplexD dot= innerProduct(in,out);
+	n1 = real(dot);
+      }
+      virtual void HermOp(const Field &in, Field &out){
+	Mpc(in,out);
+      }
+      virtual  RealD Mpc      (const Field &in, Field &out) {
+	Field tmp(in._grid);
+	_Mat.Meooe(in,tmp);
+	_Mat.MooeeInv(tmp,out);
+	_Mat.MeooeDag(out,tmp);
+	_Mat.Mooee(in,out);
+        return axpy_norm(out,-1.0,tmp,out);
+      }
+      virtual  RealD MpcDag   (const Field &in, Field &out){
+	return Mpc(in,out);
+      }
+      virtual void MpcDagMpc(const Field &in, Field &out,RealD &ni,RealD &no) {
+	assert(0);// Never need with staggered
+      }
+    };
+    template<class Matrix,class Field> using SchurStagOperator = SchurStaggeredOperator<Matrix,Field>;
 
 
     /////////////////////////////////////////////////////////////

lib/algorithms/approx/Chebyshev.h

@@ -8,6 +8,7 @@
 
 Author: Peter Boyle <paboyle@ph.ed.ac.uk>
 Author: paboyle <paboyle@ph.ed.ac.uk>
+Author: Christoph Lehner <clehner@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
@@ -193,6 +194,47 @@ namespace Grid {
       return sum;
     };
 
+    RealD approxD(RealD x)
+    {
+      RealD Un;
+      RealD Unm;
+      RealD Unp;
+      
+      RealD y=( x-0.5*(hi+lo))/(0.5*(hi-lo));
+      
+      RealD U0=1;
+      RealD U1=2*y;
+      
+      RealD sum;
+      sum = Coeffs[1]*U0;
+      sum+= Coeffs[2]*U1*2.0;
+      
+      Un =U1;
+      Unm=U0;
+      for(int i=2;i<order-1;i++){
+	Unp=2*y*Un-Unm;
+	Unm=Un;
+	Un =Unp;
+	sum+= Un*Coeffs[i+1]*(i+1.0);
+      }
+      return sum/(0.5*(hi-lo));
+    };
+    
+    RealD approxInv(RealD z, RealD x0, int maxiter, RealD resid) {
+      RealD x = x0;
+      RealD eps;
+      
+      int i;
+      for (i=0;i<maxiter;i++) {
+	eps = approx(x) - z;
+	if (fabs(eps / z) < resid)
+	  return x;
+	x = x - eps / approxD(x);
+      }
+      
+      return std::numeric_limits<double>::quiet_NaN();
+    }
+    
     // Implement the required interface
     void operator() (LinearOperatorBase<Field> &Linop, const Field &in, Field &out) {
 

lib/algorithms/approx/Forecast.h

@@ -0,0 +1,152 @@
+/*************************************************************************************
+
+Grid physics library, www.github.com/paboyle/Grid
+
+Source file: ./lib/algorithms/approx/Forecast.h
+
+Copyright (C) 2015
+
+Author: Peter Boyle <paboyle@ph.ed.ac.uk>
+Author: paboyle <paboyle@ph.ed.ac.uk>
+Author: David Murphy <dmurphy@phys.columbia.edu>
+
+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 */
+
+#ifndef INCLUDED_FORECAST_H
+#define INCLUDED_FORECAST_H
+
+namespace 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).
+  template<class Matrix, class Field>
+  class Forecast
+  {
+    public:
+      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),
+  // used to forecast solutions across poles of the EOFA heatbath.
+  //
+  // Modified from CPS (cps_pp/src/util/dirac_op/d_op_base/comsrc/minresext.C)
+  template<class Matrix, class Field>
+  class ChronoForecast : public Forecast<Matrix,Field>
+  {
+    public:
+      Field operator()(Matrix &Mat, const Field& phi, const std::vector<Field>& prev_solns)
+      {
+        int degree = prev_solns.size();
+        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);
+        std::vector<Field> v(prev_solns); // orthonormalized previous solutions
+        std::vector<Field> MdagMv(degree,phi);
+
+        // Array to hold the matrix elements
+        std::vector<std::vector<ComplexD>> G(degree, std::vector<ComplexD>(degree));
+
+        // Solution and source vectors
+        std::vector<ComplexD> a(degree);
+        std::vector<ComplexD> b(degree);
+
+        // Orthonormalize the vector basis
+        for(int i=0; i<degree; i++){
+          v[i] *= 1.0/std::sqrt(norm2(v[i]));
+          for(int j=i+1; j<degree; j++){ v[j] -= innerProduct(v[i],v[j]) * v[i]; }
+        }
+
+        // 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.Mdag(Mv,MdagMv[i]);
+          G[i][i] = innerProduct(v[i],MdagMv[i]);
+        }
+
+        // Construct the matrix
+        for(int j=0; j<degree; j++){
+        for(int k=j+1; k<degree; k++){
+          G[j][k] = innerProduct(v[j],MdagMv[k]);
+          G[k][j] = std::conj(G[j][k]);
+        }}
+
+        // Gauss-Jordan elimination with partial pivoting
+        for(int i=0; i<degree; i++){
+
+          // Perform partial pivoting
+          int k = i;
+          for(int j=i+1; j<degree; j++){ if(std::abs(G[j][j]) > std::abs(G[k][k])){ k = j; } }
+          if(k != i){
+            xp = b[k];
+            b[k] = b[i];
+            b[i] = xp;
+            for(int j=0; j<degree; j++){
+              xp = G[k][j];
+              G[k][j] = G[i][j];
+              G[i][j] = xp;
+            }
+          }
+
+          // Convert matrix to upper triangular form
+          for(int j=i+1; j<degree; j++){
+            xp = G[j][i]/G[i][i];
+            b[j] -= xp * b[i];
+            for(int k=0; k<degree; k++){ G[j][k] -= xp*G[i][k]; }
+          }
+        }
+
+        // Use Gaussian elimination to solve equations and calculate initial guess
+        chi = zero;
+        r = phi;
+        for(int i=degree-1; i>=0; i--){
+          a[i] = 0.0;
+          for(int j=i+1; j<degree; j++){ a[i] += G[i][j] * a[j]; }
+          a[i] = (b[i]-a[i])/G[i][i];
+          chi += a[i]*v[i];
+          r -= a[i]*MdagMv[i];
+        }
+
+        RealD true_r(0.0);
+        ComplexD tmp;
+        for(int i=0; i<degree; i++){
+          tmp = -b[i];
+          for(int j=0; j<degree; j++){ tmp += G[i][j]*a[j]; }
+          tmp = std::conj(tmp)*tmp;
+          true_r += std::sqrt(tmp.real());
+        }
+
+        RealD error = std::sqrt(norm2(r)/norm2(phi));
+        std::cout << GridLogMessage << "ChronoForecast: |res|/|src| = " << error << std::endl;
+
+        return chi;
+      };
+  };
+
+}
+
+#endif

lib/algorithms/iterative/BlockImplicitlyRestartedLanczos/BlockImplicitlyRestartedLanczos.h

@@ -0,0 +1,754 @@
+    /*************************************************************************************
+
+    Grid physics library, www.github.com/paboyle/Grid 
+
+    Source file: ./lib/algorithms/iterative/ImplicitlyRestartedLanczos.h
+
+    Copyright (C) 2015
+
+Author: Peter Boyle <paboyle@ph.ed.ac.uk>
+Author: paboyle <paboyle@ph.ed.ac.uk>
+Author: Chulwoo Jung <chulwoo@bnl.gov>
+Author: Christoph Lehner <clehner@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 */
+#ifndef GRID_BIRL_H
+#define GRID_BIRL_H
+
+#include <string.h> //memset
+
+#include <zlib.h>
+#include <sys/stat.h>
+
+#include <Grid/algorithms/iterative/BlockImplicitlyRestartedLanczos/BlockedGrid.h>
+#include <Grid/algorithms/iterative/BlockImplicitlyRestartedLanczos/FieldBasisVector.h>
+#include <Grid/algorithms/iterative/BlockImplicitlyRestartedLanczos/BlockProjector.h>
+#include <Grid/algorithms/iterative/BlockImplicitlyRestartedLanczos/FieldVectorIO.h>
+
+namespace Grid { 
+
+/////////////////////////////////////////////////////////////
+// Implicitly restarted lanczos
+/////////////////////////////////////////////////////////////
+
+ template<class Field> 
+ class BlockImplicitlyRestartedLanczos {
+
+    const RealD small = 1.0e-16;
+public:       
+    int lock;
+    int get;
+    int Niter;
+    int converged;
+
+    int Nminres; // Minimum number of restarts; only check for convergence after
+    int Nstop;   // Number of evecs checked for convergence
+    int Nk;      // Number of converged sought
+    int Np;      // Np -- Number of spare vecs in kryloc space
+    int Nm;      // Nm -- total number of vectors
+
+    int orth_period;
+
+    RealD OrthoTime;
+
+    RealD eresid, betastp;
+    SortEigen<Field> _sort;
+    LinearFunction<Field> &_HermOp;
+    LinearFunction<Field> &_HermOpTest;
+    /////////////////////////
+    // Constructor
+    /////////////////////////
+
+    BlockImplicitlyRestartedLanczos(
+			       LinearFunction<Field> & HermOp,
+			       LinearFunction<Field> & HermOpTest,
+			       int _Nstop, // sought vecs
+			       int _Nk, // sought vecs
+			       int _Nm, // spare vecs
+			       RealD _eresid, // resid in lmdue deficit 
+			       RealD _betastp, // if beta(k) < betastp: converged
+			       int _Niter, // Max iterations
+			       int _Nminres, int _orth_period = 1) :
+      _HermOp(HermOp),
+      _HermOpTest(HermOpTest),
+      Nstop(_Nstop),
+      Nk(_Nk),
+      Nm(_Nm),
+      eresid(_eresid),
+      betastp(_betastp),
+      Niter(_Niter),
+	Nminres(_Nminres),
+	orth_period(_orth_period)
+    { 
+      Np = Nm-Nk; assert(Np>0);
+    };
+
+    BlockImplicitlyRestartedLanczos(
+			       LinearFunction<Field> & HermOp,
+			       LinearFunction<Field> & HermOpTest,
+			       int _Nk, // sought vecs
+			       int _Nm, // spare vecs
+			       RealD _eresid, // resid in lmdue deficit 
+			       RealD _betastp, // if beta(k) < betastp: converged
+			       int _Niter, // Max iterations
+			       int _Nminres,
+			       int _orth_period = 1) : 
+      _HermOp(HermOp),
+      _HermOpTest(HermOpTest),
+      Nstop(_Nk),
+      Nk(_Nk),
+      Nm(_Nm),
+      eresid(_eresid),
+      betastp(_betastp),
+      Niter(_Niter),
+	Nminres(_Nminres),
+	orth_period(_orth_period)
+    { 
+      Np = Nm-Nk; assert(Np>0);
+    };
+
+
+/* Saad PP. 195
+1. Choose an initial vector v1 of 2-norm unity. Set β1 ≡ 0, v0 ≡ 0
+2. For k = 1,2,...,m Do:
+3. wk:=Avk−βkv_{k−1}      
+4. αk:=(wk,vk)       // 
+5. wk:=wk−αkvk       // wk orthog vk 
+6. βk+1 := ∥wk∥2. If βk+1 = 0 then Stop
+7. vk+1 := wk/βk+1
+8. EndDo
+ */
+    void step(std::vector<RealD>& lmd,
+	      std::vector<RealD>& lme, 
+	      BasisFieldVector<Field>& evec,
+	      Field& w,int Nm,int k)
+    {
+      assert( k< Nm );
+
+      GridStopWatch gsw_op,gsw_o;
+
+      Field& evec_k = evec[k];
+
+      gsw_op.Start();
+      _HermOp(evec_k,w);
+      gsw_op.Stop();
+
+      if(k>0){
+	w -= lme[k-1] * evec[k-1];
+      }    
+
+      ComplexD zalph = innerProduct(evec_k,w); // 4. αk:=(wk,vk)
+      RealD     alph = real(zalph);
+
+      w = w - alph * evec_k;// 5. wk:=wk−αkvk
+
+      RealD beta = normalise(w); // 6. βk+1 := ∥wk∥2. If βk+1 = 0 then Stop
+                                 // 7. vk+1 := wk/βk+1
+
+      std::cout<<GridLogMessage << "alpha[" << k << "] = " << zalph << " beta[" << k << "] = "<<beta<<std::endl;
+      const RealD tiny = 1.0e-20;
+      if ( beta < tiny ) { 
+	std::cout<<GridLogMessage << " beta is tiny "<<beta<<std::endl;
+     }
+      lmd[k] = alph;
+      lme[k]  = beta;
+
+      gsw_o.Start();
+      if (k>0 && k % orth_period == 0) { 
+	orthogonalize(w,evec,k); // orthonormalise
+      }
+      gsw_o.Stop();
+
+      if(k < Nm-1) { 
+	evec[k+1] = w;
+      }
+
+      std::cout << GridLogMessage << "Timing: operator=" << gsw_op.Elapsed() <<
+	" orth=" << gsw_o.Elapsed() << std::endl;
+
+    }
+
+    void qr_decomp(std::vector<RealD>& lmd,
+		   std::vector<RealD>& lme,
+		   int Nk,
+		   int Nm,
+		   std::vector<RealD>& Qt,
+		   RealD Dsh, 
+		   int kmin,
+		   int kmax)
+    {
+      int k = kmin-1;
+      RealD x;
+
+      RealD Fden = 1.0/hypot(lmd[k]-Dsh,lme[k]);
+      RealD c = ( lmd[k] -Dsh) *Fden;
+      RealD s = -lme[k] *Fden;
+      
+      RealD tmpa1 = lmd[k];
+      RealD tmpa2 = lmd[k+1];
+      RealD tmpb  = lme[k];
+
+      lmd[k]   = c*c*tmpa1 +s*s*tmpa2 -2.0*c*s*tmpb;
+      lmd[k+1] = s*s*tmpa1 +c*c*tmpa2 +2.0*c*s*tmpb;
+      lme[k]   = c*s*(tmpa1-tmpa2) +(c*c-s*s)*tmpb;
+      x        =-s*lme[k+1];
+      lme[k+1] = c*lme[k+1];
+      
+      for(int i=0; i<Nk; ++i){
+	RealD Qtmp1 = Qt[i+Nm*k  ];
+	RealD Qtmp2 = Qt[i+Nm*(k+1)];
+	Qt[i+Nm*k    ] = c*Qtmp1 - s*Qtmp2;
+	Qt[i+Nm*(k+1)] = s*Qtmp1 + c*Qtmp2; 
+      }
+
+      // Givens transformations
+      for(int k = kmin; k < kmax-1; ++k){
+
+	RealD Fden = 1.0/hypot(x,lme[k-1]);
+	RealD c = lme[k-1]*Fden;
+	RealD s = - x*Fden;
+	
+	RealD tmpa1 = lmd[k];
+	RealD tmpa2 = lmd[k+1];
+	RealD tmpb  = lme[k];
+
+	lmd[k]   = c*c*tmpa1 +s*s*tmpa2 -2.0*c*s*tmpb;
+	lmd[k+1] = s*s*tmpa1 +c*c*tmpa2 +2.0*c*s*tmpb;
+	lme[k]   = c*s*(tmpa1-tmpa2) +(c*c-s*s)*tmpb;
+	lme[k-1] = c*lme[k-1] -s*x;
+
+	if(k != kmax-2){
+	  x = -s*lme[k+1];
+	  lme[k+1] = c*lme[k+1];
+	}
+
+	for(int i=0; i<Nk; ++i){
+	  RealD Qtmp1 = Qt[i+Nm*k    ];
+	  RealD Qtmp2 = Qt[i+Nm*(k+1)];
+	  Qt[i+Nm*k    ] = c*Qtmp1 -s*Qtmp2;
+	  Qt[i+Nm*(k+1)] = s*Qtmp1 +c*Qtmp2;
+	}
+      }
+    }
+
+#ifdef USE_LAPACK_IRL
+#define LAPACK_INT int
+//long long
+    void diagonalize_lapack(std::vector<RealD>& lmd,
+			    std::vector<RealD>& lme, 
+			    int N1,
+			    int N2,
+			    std::vector<RealD>& Qt,
+			    GridBase *grid){
+
+      std::cout << GridLogMessage << "diagonalize_lapack start\n";
+      GridStopWatch gsw;
+
+      const int size = Nm;
+      //  tevals.resize(size);
+      //  tevecs.resize(size);
+      LAPACK_INT NN = N1;
+      std::vector<double> evals_tmp(NN);
+      std::vector<double> evec_tmp(NN*NN);
+      memset(&evec_tmp[0],0,sizeof(double)*NN*NN);
+      //  double AA[NN][NN];
+      std::vector<double> DD(NN);
+      std::vector<double> EE(NN);
+      for (int i = 0; i< NN; i++)
+	for (int j = i - 1; j <= i + 1; j++)
+	  if ( j < NN && j >= 0 ) {
+	    if (i==j) DD[i] = lmd[i];
+	    if (i==j) evals_tmp[i] = lmd[i];
+	    if (j==(i-1)) EE[j] = lme[j];
+	  }
+      LAPACK_INT evals_found;
+      LAPACK_INT lwork = ( (18*NN) > (1+4*NN+NN*NN)? (18*NN):(1+4*NN+NN*NN)) ;
+      LAPACK_INT liwork =  3+NN*10 ;
+      std::vector<LAPACK_INT> iwork(liwork);
+      std::vector<double> work(lwork);
+      std::vector<LAPACK_INT> isuppz(2*NN);
+      char jobz = 'V'; // calculate evals & evecs
+      char range = 'I'; // calculate all evals
+      //    char range = 'A'; // calculate all evals
+      char uplo = 'U'; // refer to upper half of original matrix
+      char compz = 'I'; // Compute eigenvectors of tridiagonal matrix
+      std::vector<int> ifail(NN);
+      LAPACK_INT info;
+      //  int total = QMP_get_number_of_nodes();
+      //  int node = QMP_get_node_number();
+      //  GridBase *grid = evec[0]._grid;
+      int total = grid->_Nprocessors;
+      int node = grid->_processor;
+      int interval = (NN/total)+1;
+      double vl = 0.0, vu = 0.0;
+      LAPACK_INT il = interval*node+1 , iu = interval*(node+1);
+      if (iu > NN)  iu=NN;
+      double tol = 0.0;
+      if (1) {
+	memset(&evals_tmp[0],0,sizeof(double)*NN);
+	if ( il <= NN){
+	  std::cout << GridLogMessage << "dstegr started" << std::endl; 
+	  gsw.Start();
+	  dstegr(&jobz, &range, &NN,
+		 (double*)&DD[0], (double*)&EE[0],
+		 &vl, &vu, &il, &iu, // these four are ignored if second parameteris 'A'
+		 &tol, // tolerance
+		 &evals_found, &evals_tmp[0], (double*)&evec_tmp[0], &NN,
+		 &isuppz[0],
+		 &work[0], &lwork, &iwork[0], &liwork,
+		 &info);
+	  gsw.Stop();
+	  std::cout << GridLogMessage << "dstegr completed in " << gsw.Elapsed() << std::endl;
+	  for (int i = iu-1; i>= il-1; i--){
+	    evals_tmp[i] = evals_tmp[i - (il-1)];
+	    if (il>1) evals_tmp[i-(il-1)]=0.;
+	    for (int j = 0; j< NN; j++){
+	      evec_tmp[i*NN + j] = evec_tmp[(i - (il-1)) * NN + j];
+	      if (il>1) evec_tmp[(i-(il-1)) * NN + j]=0.;
+	    }
+	  }
+	}
+	{
+	  //        QMP_sum_double_array(evals_tmp,NN);
+	  //        QMP_sum_double_array((double *)evec_tmp,NN*NN);
+	  grid->GlobalSumVector(&evals_tmp[0],NN);
+	  grid->GlobalSumVector(&evec_tmp[0],NN*NN);
+	}
+      } 
+      // cheating a bit. It is better to sort instead of just reversing it, but the document of the routine says evals are sorted in increasing order. qr gives evals in decreasing order.
+      for(int i=0;i<NN;i++){
+	for(int j=0;j<NN;j++)
+	  Qt[(NN-1-i)*N2+j]=evec_tmp[i*NN + j];
+	lmd [NN-1-i]=evals_tmp[i];
+      }
+
+      std::cout << GridLogMessage << "diagonalize_lapack complete\n";
+    }
+#undef LAPACK_INT 
+#endif
+
+
+    void diagonalize(std::vector<RealD>& lmd,
+		     std::vector<RealD>& lme, 
+		     int N2,
+		     int N1,
+		     std::vector<RealD>& Qt,
+		     GridBase *grid)
+    {
+
+#ifdef USE_LAPACK_IRL
+    const int check_lapack=0; // just use lapack if 0, check against lapack if 1
+
+    if(!check_lapack)
+	return diagonalize_lapack(lmd,lme,N2,N1,Qt,grid);
+
+	std::vector <RealD> lmd2(N1);
+	std::vector <RealD> lme2(N1);
+	std::vector<RealD> Qt2(N1*N1);
+         for(int k=0; k<N1; ++k){
+	    lmd2[k] = lmd[k];
+	    lme2[k] = lme[k];
+	  }
+         for(int k=0; k<N1*N1; ++k)
+	Qt2[k] = Qt[k];
+
+//	diagonalize_lapack(lmd2,lme2,Nm2,Nm,Qt,grid);
+#endif
+
+      int Niter = 10000*N1;
+      int kmin = 1;
+      int kmax = N2;
+      // (this should be more sophisticated)
+
+      for(int iter=0; ; ++iter){
+      if ( (iter+1)%(100*N1)==0) 
+      std::cout<<GridLogMessage << "[QL method] Not converged - iteration "<<iter+1<<"\n";
+
+	// determination of 2x2 leading submatrix
+	RealD dsub = lmd[kmax-1]-lmd[kmax-2];
+	RealD dd = sqrt(dsub*dsub + 4.0*lme[kmax-2]*lme[kmax-2]);
+	RealD Dsh = 0.5*(lmd[kmax-2]+lmd[kmax-1] +dd*(dsub/fabs(dsub)));
+	// (Dsh: shift)
+	
+	// transformation
+	qr_decomp(lmd,lme,N2,N1,Qt,Dsh,kmin,kmax);
+	
+	// Convergence criterion (redef of kmin and kamx)
+	for(int j=kmax-1; j>= kmin; --j){
+	  RealD dds = fabs(lmd[j-1])+fabs(lmd[j]);
+	  if(fabs(lme[j-1])+dds > dds){
+	    kmax = j+1;
+	    goto continued;
+	  }
+	}
+	Niter = iter;
+#ifdef USE_LAPACK_IRL
+    if(check_lapack){
+	const double SMALL=1e-8;
+	diagonalize_lapack(lmd2,lme2,N2,N1,Qt2,grid);
+	std::vector <RealD> lmd3(N2);
+         for(int k=0; k<N2; ++k) lmd3[k]=lmd[k];
+        _sort.push(lmd3,N2);
+        _sort.push(lmd2,N2);
+         for(int k=0; k<N2; ++k){
+	    if (fabs(lmd2[k] - lmd3[k]) >SMALL)  std::cout<<GridLogMessage <<"lmd(qr) lmd(lapack) "<< k << ": " << lmd2[k] <<" "<< lmd3[k] <<std::endl;
+//	    if (fabs(lme2[k] - lme[k]) >SMALL)  std::cout<<GridLogMessage <<"lme(qr)-lme(lapack) "<< k << ": " << lme2[k] - lme[k] <<std::endl;
+	  }
+         for(int k=0; k<N1*N1; ++k){
+//	    if (fabs(Qt2[k] - Qt[k]) >SMALL)  std::cout<<GridLogMessage <<"Qt(qr)-Qt(lapack) "<< k << ": " << Qt2[k] - Qt[k] <<std::endl;
+	}
+    }
+#endif
+	return;
+
+      continued:
+	for(int j=0; j<kmax-1; ++j){
+	  RealD dds = fabs(lmd[j])+fabs(lmd[j+1]);
+	  if(fabs(lme[j])+dds > dds){
+	    kmin = j+1;
+	    break;
+	  }
+	}
+      }
+      std::cout<<GridLogMessage << "[QL method] Error - Too many iteration: "<<Niter<<"\n";
+      abort();
+    }
+
+#if 1
+    template<typename T>
+    static RealD normalise(T& v) 
+    {
+      RealD nn = norm2(v);
+      nn = sqrt(nn);
+      v = v * (1.0/nn);
+      return nn;
+    }
+
+    void orthogonalize(Field& w,
+		       BasisFieldVector<Field>& evec,
+		       int k)
+    {
+      double t0=-usecond()/1e6;
+
+      evec.orthogonalize(w,k);
+
+      normalise(w);
+      t0+=usecond()/1e6;
+      OrthoTime +=t0;
+    }
+
+    void setUnit_Qt(int Nm, std::vector<RealD> &Qt) {
+      for(int i=0; i<Qt.size(); ++i) Qt[i] = 0.0;
+      for(int k=0; k<Nm; ++k) Qt[k + k*Nm] = 1.0;
+    }
+
+/* Rudy Arthur's thesis pp.137
+------------------------
+Require: M > K P = M − K †
+Compute the factorization AVM = VM HM + fM eM 
+repeat
+  Q=I
+  for i = 1,...,P do
+    QiRi =HM −θiI Q = QQi
+    H M = Q †i H M Q i
+  end for
+  βK =HM(K+1,K) σK =Q(M,K)
+  r=vK+1βK +rσK
+  VK =VM(1:M)Q(1:M,1:K)
+  HK =HM(1:K,1:K)
+  →AVK =VKHK +fKe†K † Extend to an M = K + P step factorization AVM = VMHM + fMeM
+until convergence
+*/
+
+    void calc(std::vector<RealD>& eval,
+	      BasisFieldVector<Field>& evec,
+	      const Field& src,
+	      int& Nconv,
+	      bool reverse,
+	      int SkipTest)
+      {
+
+	GridBase *grid = evec._v[0]._grid;//evec.get(0 + evec_offset)._grid;
+	assert(grid == src._grid);
+
+	std::cout<<GridLogMessage << " -- Nk = " << Nk << " Np = "<< Np << std::endl;
+	std::cout<<GridLogMessage << " -- Nm = " << Nm << std::endl;
+	std::cout<<GridLogMessage << " -- size of eval   = " << eval.size() << std::endl;
+	std::cout<<GridLogMessage << " -- size of evec  = " << evec.size() << std::endl;
+	
+	assert(Nm <= evec.size() && Nm <= eval.size());
+
+	// quickly get an idea of the largest eigenvalue to more properly normalize the residuum
+	RealD evalMaxApprox = 0.0;
+	{
+	  auto src_n = src;
+	  auto tmp = src;
+	  const int _MAX_ITER_IRL_MEVAPP_ = 50;
+	  for (int i=0;i<_MAX_ITER_IRL_MEVAPP_;i++) {
+	    _HermOpTest(src_n,tmp);
+	    RealD vnum = real(innerProduct(src_n,tmp)); // HermOp.
+	    RealD vden = norm2(src_n);
+	    RealD na = vnum/vden;
+	    if (fabs(evalMaxApprox/na - 1.0) < 0.05)
+	      i=_MAX_ITER_IRL_MEVAPP_;
+	    evalMaxApprox = na;
+	    std::cout << GridLogMessage << " Approximation of largest eigenvalue: " << evalMaxApprox << std::endl;
+	    src_n = tmp;
+	  }
+	}
+	
+	std::vector<RealD> lme(Nm);  
+	std::vector<RealD> lme2(Nm);
+	std::vector<RealD> eval2(Nm);
+	std::vector<RealD> eval2_copy(Nm);
+	std::vector<RealD> Qt(Nm*Nm);
+
+
+	Field f(grid);
+	Field v(grid);
+  
+	int k1 = 1;
+	int k2 = Nk;
+
+	Nconv = 0;
+
+	RealD beta_k;
+  
+	// Set initial vector
+	evec[0] = src;
+	normalise(evec[0]);
+	std:: cout<<GridLogMessage <<"norm2(evec[0])= " << norm2(evec[0])<<std::endl;
+	
+	// Initial Nk steps
+	OrthoTime=0.;
+	double t0=usecond()/1e6;
+	for(int k=0; k<Nk; ++k) step(eval,lme,evec,f,Nm,k);
+	double t1=usecond()/1e6;
+	std::cout<<GridLogMessage <<"IRL::Initial steps: "<<t1-t0<< "seconds"<<std::endl; t0=t1;
+	std::cout<<GridLogMessage <<"IRL::Initial steps:OrthoTime "<<OrthoTime<< "seconds"<<std::endl;
+	t1=usecond()/1e6;
+
+	// Restarting loop begins
+	for(int iter = 0; iter<Niter; ++iter){
+	  
+	  std::cout<<GridLogMessage<<"\n Restart iteration = "<< iter << std::endl;
+	  
+	  // 
+	  // Rudy does a sort first which looks very different. Getting fed up with sorting out the algo defs.
+	  // We loop over 
+	  //
+	  OrthoTime=0.;
+	  for(int k=Nk; k<Nm; ++k) step(eval,lme,evec,f,Nm,k);
+	  t1=usecond()/1e6;
+	  std::cout<<GridLogMessage <<"IRL:: "<<Np <<" steps: "<<t1-t0<< "seconds"<<std::endl; t0=t1;
+	  std::cout<<GridLogMessage <<"IRL::Initial steps:OrthoTime "<<OrthoTime<< "seconds"<<std::endl;
+	  f *= lme[Nm-1];
+	  
+	  t1=usecond()/1e6;
+
+	  
+	  // getting eigenvalues
+	  for(int k=0; k<Nm; ++k){
+	    eval2[k] = eval[k+k1-1];
+	    lme2[k] = lme[k+k1-1];
+	  }
+	  setUnit_Qt(Nm,Qt);
+	  diagonalize(eval2,lme2,Nm,Nm,Qt,grid);
+	  t1=usecond()/1e6;
+	  std::cout<<GridLogMessage <<"IRL:: diagonalize: "<<t1-t0<< "seconds"<<std::endl; t0=t1;
+	  
+	  // sorting
+	  eval2_copy = eval2;
+
+	  _sort.push(eval2,Nm);
+	  t1=usecond()/1e6;
+	  std::cout<<GridLogMessage <<"IRL:: eval sorting: "<<t1-t0<< "seconds"<<std::endl; t0=t1;
+	  
+	  // Implicitly shifted QR transformations
+	  setUnit_Qt(Nm,Qt);
+	  for(int ip=0; ip<k2; ++ip){
+	    std::cout<<GridLogMessage << "eval "<< ip << " "<< eval2[ip] << std::endl;
+	  }
+
+	  for(int ip=k2; ip<Nm; ++ip){ 
+	    std::cout<<GridLogMessage << "qr_decomp "<< ip << " "<< eval2[ip] << std::endl;
+	    qr_decomp(eval,lme,Nm,Nm,Qt,eval2[ip],k1,Nm);
+	    
+	  }
+	  t1=usecond()/1e6;
+	  std::cout<<GridLogMessage <<"IRL::qr_decomp: "<<t1-t0<< "seconds"<<std::endl; t0=t1;
+	  assert(k2<Nm);
+	  
+
+	  assert(k2<Nm);
+	  assert(k1>0);
+	  evec.rotate(Qt,k1-1,k2+1,0,Nm,Nm);
+	  
+	  t1=usecond()/1e6;
+	  std::cout<<GridLogMessage <<"IRL::QR rotation: "<<t1-t0<< "seconds"<<std::endl; t0=t1;
+	  fflush(stdout);
+	  
+	  // Compressed vector f and beta(k2)
+	  f *= Qt[Nm-1+Nm*(k2-1)];
+	  f += lme[k2-1] * evec[k2];
+	  beta_k = norm2(f);
+	  beta_k = sqrt(beta_k);
+	  std::cout<<GridLogMessage<<" beta(k) = "<<beta_k<<std::endl;
+	  
+	  RealD betar = 1.0/beta_k;
+	  evec[k2] = betar * f;
+	  lme[k2-1] = beta_k;
+	  
+	  // Convergence test
+	  for(int k=0; k<Nm; ++k){    
+	    eval2[k] = eval[k];
+	    lme2[k] = lme[k];
+
+	    std::cout<<GridLogMessage << "eval2[" << k << "] = " << eval2[k] << std::endl;
+	  }
+	  setUnit_Qt(Nm,Qt);
+	  diagonalize(eval2,lme2,Nk,Nm,Qt,grid);
+	  t1=usecond()/1e6;
+	  std::cout<<GridLogMessage <<"IRL::diagonalize: "<<t1-t0<< "seconds"<<std::endl; t0=t1;
+	  
+	  
+	  Nconv = 0;
+	  
+	  if (iter >= Nminres) {
+	    std::cout << GridLogMessage << "Rotation to test convergence " << std::endl;
+	    
+	    Field ev0_orig(grid);
+	    ev0_orig = evec[0];
+	    
+	    evec.rotate(Qt,0,Nk,0,Nk,Nm);
+	    
+	    {
+	      std::cout << GridLogMessage << "Test convergence" << std::endl;
+	      Field B(grid);
+	      
+	      for(int j = 0; j<Nk; j+=SkipTest){
+		B=evec[j];
+		//std::cout << "Checkerboard: " << evec[j].checkerboard << std::endl; 
+		B.checkerboard = evec[0].checkerboard;
+
+		_HermOpTest(B,v);
+		
+		RealD vnum = real(innerProduct(B,v)); // HermOp.
+		RealD vden = norm2(B);
+		RealD vv0 = norm2(v);
+		eval2[j] = vnum/vden;
+		v -= eval2[j]*B;
+		RealD vv = norm2(v) / ::pow(evalMaxApprox,2.0);
+		std::cout.precision(13);
+		std::cout<<GridLogMessage << "[" << std::setw(3)<< std::setiosflags(std::ios_base::right) <<j<<"] "
+			 <<"eval = "<<std::setw(25)<< std::setiosflags(std::ios_base::left)<< eval2[j] << " (" << eval2_copy[j] << ")"
+			 <<" |H B[i] - eval[i]B[i]|^2 / evalMaxApprox^2 " << std::setw(25)<< std::setiosflags(std::ios_base::right)<< vv
+			 <<" "<< vnum/(sqrt(vden)*sqrt(vv0))
+			 << " norm(B["<<j<<"])="<< vden <<std::endl;
+		
+		// change the criteria as evals are supposed to be sorted, all evals smaller(larger) than Nstop should have converged
+		if((vv<eresid*eresid) && (j == Nconv) ){
+		  Nconv+=SkipTest;
+		}
+	      }
+	      
+	      // test if we converged, if so, terminate
+	      t1=usecond()/1e6;
+	      std::cout<<GridLogMessage <<"IRL::convergence testing: "<<t1-t0<< "seconds"<<std::endl; t0=t1;
+	      
+	      std::cout<<GridLogMessage<<" #modes converged: "<<Nconv<<std::endl;
+	      
+	      if( Nconv>=Nstop || beta_k < betastp){
+		goto converged;
+	      }
+	      
+	      std::cout << GridLogMessage << "Rotate back" << std::endl;
+	      //B[j] +=Qt[k+_Nm*j] * _v[k]._odata[ss];
+	      {
+		Eigen::MatrixXd qm = Eigen::MatrixXd::Zero(Nk,Nk);
+		for (int k=0;k<Nk;k++)
+		  for (int j=0;j<Nk;j++)
+		    qm(j,k) = Qt[k+Nm*j];
+		GridStopWatch timeInv;
+		timeInv.Start();
+		Eigen::MatrixXd qmI = qm.inverse();
+		timeInv.Stop();
+		std::vector<RealD> QtI(Nm*Nm);
+		for (int k=0;k<Nk;k++)
+		  for (int j=0;j<Nk;j++)
+		    QtI[k+Nm*j] = qmI(j,k);
+		
+		RealD res_check_rotate_inverse = (qm*qmI - Eigen::MatrixXd::Identity(Nk,Nk)).norm(); // sqrt( |X|^2 )
+		assert(res_check_rotate_inverse < 1e-7);
+		evec.rotate(QtI,0,Nk,0,Nk,Nm);
+		
+		axpy(ev0_orig,-1.0,evec[0],ev0_orig);
+		std::cout << GridLogMessage << "Rotation done (in " << timeInv.Elapsed() << " = " << timeInv.useconds() << " us" <<
+		  ", error = " << res_check_rotate_inverse << 
+		  "); | evec[0] - evec[0]_orig | = " << ::sqrt(norm2(ev0_orig)) << std::endl;
+	      }
+	    }
+	  } else {
+	    std::cout << GridLogMessage << "iter < Nminres: do not yet test for convergence\n";
+	  } // end of iter loop
+	}
+
+	std::cout<<GridLogMessage<<"\n NOT converged.\n";
+	abort();
+	
+      converged:
+
+	if (SkipTest == 1) {
+	  eval = eval2;
+	} else {
+
+	  // test quickly
+	  for (int j=0;j<Nstop;j+=SkipTest) {
+	    std::cout<<GridLogMessage << "Eigenvalue[" << j << "] = " << eval2[j] << " (" << eval2_copy[j] << ")" << std::endl;
+	  }
+
+	  eval2_copy.resize(eval2.size());
+	  eval = eval2_copy;
+	}
+
+	evec.sortInPlace(eval,reverse);
+
+	{
+	  
+	 // test
+	 for (int j=0;j<Nstop;j++) {
+	   std::cout<<GridLogMessage << " |e[" << j << "]|^2 = " << norm2(evec[j]) << std::endl;
+	 }
+       }
+       
+       //_sort.push(eval,evec,Nconv);
+       //evec.sort(eval,Nconv);
+       
+       std::cout<<GridLogMessage << "\n Converged\n Summary :\n";
+       std::cout<<GridLogMessage << " -- Iterations  = "<< Nconv  << "\n";
+       std::cout<<GridLogMessage << " -- beta(k)     = "<< beta_k << "\n";
+       std::cout<<GridLogMessage << " -- Nconv       = "<< Nconv  << "\n";
+      }
+#endif
+
+    };
+
+}
+#endif
+

lib/algorithms/iterative/BlockImplicitlyRestartedLanczos/BlockProjector.h

@@ -0,0 +1,143 @@
+namespace Grid { 
+
+/*
+  BlockProjector
+
+  If _HP_BLOCK_PROJECTORS_ is defined, we assume that _evec is a basis that is not
+  fully orthonormalized (to the precision of the coarse field) and we allow for higher-precision
+  coarse field than basis field.
+
+*/
+//#define _HP_BLOCK_PROJECTORS_
+
+template<typename Field>
+class BlockProjector {
+public:
+
+  BasisFieldVector<Field>& _evec;
+  BlockedGrid<Field>& _bgrid;
+
+  BlockProjector(BasisFieldVector<Field>& evec, BlockedGrid<Field>& bgrid) : _evec(evec), _bgrid(bgrid) {
+  }
+
+  void createOrthonormalBasis(RealD thres = 0.0) {
+
+    GridStopWatch sw;
+    sw.Start();
+
+    int cnt = 0;
+
+#pragma omp parallel shared(cnt)
+    {
+      int lcnt = 0;
+
+#pragma omp for
+      for (int b=0;b<_bgrid._o_blocks;b++) {
+	
+	for (int i=0;i<_evec._Nm;i++) {
+	  
+	  auto nrm0 = _bgrid.block_sp(b,_evec._v[i],_evec._v[i]);
+	  
+	  // |i> -= <j|i> |j>
+	  for (int j=0;j<i;j++) {
+	    _bgrid.block_caxpy(b,_evec._v[i],-_bgrid.block_sp(b,_evec._v[j],_evec._v[i]),_evec._v[j],_evec._v[i]);
+	  }
+	  
+	  auto nrm = _bgrid.block_sp(b,_evec._v[i],_evec._v[i]);
+	  
+	  auto eps = nrm/nrm0;
+	  if (Reduce(eps).real() < thres) {
+	    lcnt++;
+	  }
+	  
+	  // TODO: if norm is too small, remove this eigenvector/mark as not needed; in practice: set it to zero norm here and return a mask
+	  // that is then used later to decide not to write certain eigenvectors to disk (add a norm calculation before subtraction step and look at nrm/nrm0 < eps to decide)
+	  _bgrid.block_cscale(b,1.0 / sqrt(nrm),_evec._v[i]);
+	  
+	}
+	
+      }
+
+#pragma omp critical
+      {
+	cnt += lcnt;
+      }
+    }
+    sw.Stop();
+    std::cout << GridLogMessage << "Gram-Schmidt to create blocked basis took " << sw.Elapsed() << " (" << ((RealD)cnt / (RealD)_bgrid._o_blocks / (RealD)_evec._Nm) 
+	      << " below threshold)" << std::endl;
+
+  }
+
+  template<typename CoarseField>
+  void coarseToFine(const CoarseField& in, Field& out) {
+
+    out = zero;
+    out.checkerboard = _evec._v[0].checkerboard;
+
+    int Nbasis = sizeof(in._odata[0]._internal._internal) / sizeof(in._odata[0]._internal._internal[0]);
+    assert(Nbasis == _evec._Nm);
+    
+#pragma omp parallel for
+    for (int b=0;b<_bgrid._o_blocks;b++) {
+      for (int j=0;j<_evec._Nm;j++) {
+	_bgrid.block_caxpy(b,out,in._odata[b]._internal._internal[j],_evec._v[j],out);
+      }
+    }
+
+  }
+
+  template<typename CoarseField>
+  void fineToCoarse(const Field& in, CoarseField& out) {
+
+    out = zero;
+
+    int Nbasis = sizeof(out._odata[0]._internal._internal) / sizeof(out._odata[0]._internal._internal[0]);
+    assert(Nbasis == _evec._Nm);
+
+
+    Field tmp(_bgrid._grid);
+    tmp = in;
+    
+#pragma omp parallel for
+    for (int b=0;b<_bgrid._o_blocks;b++) {
+      for (int j=0;j<_evec._Nm;j++) {
+	// |rhs> -= <j|rhs> |j>
+	auto c = _bgrid.block_sp(b,_evec._v[j],tmp);
+	_bgrid.block_caxpy(b,tmp,-c,_evec._v[j],tmp); // may make this more numerically stable
+	out._odata[b]._internal._internal[j] = c;
+      }
+    }
+
+  }
+
+  template<typename CoarseField>
+    void deflateFine(BasisFieldVector<CoarseField>& _coef,const std::vector<RealD>& eval,int N,const Field& src_orig,Field& result) {
+    result = zero;
+    for (int i=0;i<N;i++) {
+      Field tmp(result._grid);
+      coarseToFine(_coef._v[i],tmp);
+      axpy(result,TensorRemove(innerProduct(tmp,src_orig)) / eval[i],tmp,result);
+    }
+  }
+
+  template<typename CoarseField>
+    void deflateCoarse(BasisFieldVector<CoarseField>& _coef,const std::vector<RealD>& eval,int N,const Field& src_orig,Field& result) {
+    CoarseField src_coarse(_coef._v[0]._grid);
+    CoarseField result_coarse = src_coarse;
+    result_coarse = zero;
+    fineToCoarse(src_orig,src_coarse);
+    for (int i=0;i<N;i++) {
+      axpy(result_coarse,TensorRemove(innerProduct(_coef._v[i],src_coarse)) / eval[i],_coef._v[i],result_coarse);
+    }
+    coarseToFine(result_coarse,result);
+  }
+
+  template<typename CoarseField>
+    void deflate(BasisFieldVector<CoarseField>& _coef,const std::vector<RealD>& eval,int N,const Field& src_orig,Field& result) {
+    // Deflation on coarse Grid is much faster, so use it by default.  Deflation on fine Grid is kept for legacy reasons for now.
+    deflateCoarse(_coef,eval,N,src_orig,result);
+  }
+
+};
+}

lib/algorithms/iterative/BlockImplicitlyRestartedLanczos/BlockedGrid.h

@@ -0,0 +1,401 @@
+namespace Grid {
+
+template<typename Field>
+class BlockedGrid {
+public:
+  GridBase* _grid;
+  typedef typename Field::scalar_type  Coeff_t;
+  typedef typename Field::vector_type vCoeff_t;
+  
+  std::vector<int> _bs; // block size
+  std::vector<int> _nb; // number of blocks
+  std::vector<int> _l;  // local dimensions irrespective of cb
+  std::vector<int> _l_cb;  // local dimensions of checkerboarded vector
+  std::vector<int> _l_cb_o;  // local dimensions of inner checkerboarded vector
+  std::vector<int> _bs_cb; // block size in checkerboarded vector
+  std::vector<int> _nb_o; // number of blocks of simd o-sites
+
+  int _nd, _blocks, _cf_size, _cf_block_size, _cf_o_block_size, _o_blocks, _block_sites;
+  
+  BlockedGrid(GridBase* grid, const std::vector<int>& block_size) :
+    _grid(grid), _bs(block_size), _nd((int)_bs.size()), 
+      _nb(block_size), _l(block_size), _l_cb(block_size), _nb_o(block_size),
+      _l_cb_o(block_size), _bs_cb(block_size) {
+
+    _blocks = 1;
+    _o_blocks = 1;
+    _l = grid->FullDimensions();
+    _l_cb = grid->LocalDimensions();
+    _l_cb_o = grid->_rdimensions;
+
+    _cf_size = 1;
+    _block_sites = 1;
+    for (int i=0;i<_nd;i++) {
+      _l[i] /= grid->_processors[i];
+
+      assert(!(_l[i] % _bs[i])); // lattice must accommodate choice of blocksize
+
+      int r = _l[i] / _l_cb[i];
+      assert(!(_bs[i] % r)); // checkerboarding must accommodate choice of blocksize
+      _bs_cb[i] = _bs[i] / r;
+      _block_sites *= _bs_cb[i];
+      _nb[i] = _l[i] / _bs[i];
+      _nb_o[i] = _nb[i] / _grid->_simd_layout[i];
+      if (_nb[i] % _grid->_simd_layout[i]) { // simd must accommodate choice of blocksize
+	std::cout << GridLogMessage << "Problem: _nb[" << i << "] = " << _nb[i] << " _grid->_simd_layout[" << i << "] = " << _grid->_simd_layout[i] << std::endl;
+	assert(0);
+      }
+      _blocks *= _nb[i];
+      _o_blocks *= _nb_o[i];
+      _cf_size *= _l[i];
+    }
+
+    _cf_size *= 12 / 2;
+    _cf_block_size = _cf_size / _blocks;
+    _cf_o_block_size = _cf_size / _o_blocks;
+
+    std::cout << GridLogMessage << "BlockedGrid:" << std::endl;
+    std::cout << GridLogMessage << " _l     = " << _l << std::endl;
+    std::cout << GridLogMessage << " _l_cb     = " << _l_cb << std::endl;
+    std::cout << GridLogMessage << " _l_cb_o     = " << _l_cb_o << std::endl;
+    std::cout << GridLogMessage << " _bs    = " << _bs << std::endl;
+    std::cout << GridLogMessage << " _bs_cb    = " << _bs_cb << std::endl;
+
+    std::cout << GridLogMessage << " _nb    = " << _nb << std::endl;
+    std::cout << GridLogMessage << " _nb_o    = " << _nb_o << std::endl;
+    std::cout << GridLogMessage << " _blocks = " << _blocks << std::endl;
+    std::cout << GridLogMessage << " _o_blocks = " << _o_blocks << std::endl;
+    std::cout << GridLogMessage << " sizeof(vCoeff_t) = " << sizeof(vCoeff_t) << std::endl;
+    std::cout << GridLogMessage << " _cf_size = " << _cf_size << std::endl;
+    std::cout << GridLogMessage << " _cf_block_size = " << _cf_block_size << std::endl;
+    std::cout << GridLogMessage << " _block_sites = " << _block_sites << std::endl;
+    std::cout << GridLogMessage << " _grid->oSites() = " << _grid->oSites() << std::endl;
+
+    //    _grid->Barrier();
+    //abort();
+  }
+
+    void block_to_coor(int b, std::vector<int>& x0) {
+
+      std::vector<int> bcoor;
+      bcoor.resize(_nd);
+      x0.resize(_nd);
+      assert(b < _o_blocks);
+      Lexicographic::CoorFromIndex(bcoor,b,_nb_o);
+      int i;
+
+      for (i=0;i<_nd;i++) {
+	x0[i] = bcoor[i]*_bs_cb[i];
+      }
+
+      //std::cout << GridLogMessage << "Map block b -> " << x0 << std::endl;
+
+    }
+
+    void block_site_to_o_coor(const std::vector<int>& x0, std::vector<int>& coor, int i) {
+      Lexicographic::CoorFromIndex(coor,i,_bs_cb);
+      for (int j=0;j<_nd;j++)
+	coor[j] += x0[j];
+    }
+
+    int block_site_to_o_site(const std::vector<int>& x0, int i) {
+      std::vector<int> coor;  coor.resize(_nd);
+      block_site_to_o_coor(x0,coor,i);
+      Lexicographic::IndexFromCoor(coor,i,_l_cb_o);
+      return i;
+    }
+
+    vCoeff_t block_sp(int b, const Field& x, const Field& y) {
+
+      std::vector<int> x0;
+      block_to_coor(b,x0);
+
+      vCoeff_t ret = 0.0;
+      for (int i=0;i<_block_sites;i++) { // only odd sites
+	int ss = block_site_to_o_site(x0,i);
+	ret += TensorRemove(innerProduct(x._odata[ss],y._odata[ss]));
+      }
+
+      return ret;
+
+    }
+
+    vCoeff_t block_sp(int b, const Field& x, const std::vector< ComplexD >& y) {
+
+      std::vector<int> x0;
+      block_to_coor(b,x0);
+
+      constexpr int nsimd = sizeof(vCoeff_t) / sizeof(Coeff_t);
+      int lsize = _cf_o_block_size / _block_sites;
+
+      std::vector< ComplexD > ret(nsimd);
+      for (int i=0;i<nsimd;i++)
+	ret[i] = 0.0;
+
+      for (int i=0;i<_block_sites;i++) { // only odd sites
+	int ss = block_site_to_o_site(x0,i);
+
+	int n = lsize / nsimd;
+	for (int l=0;l<n;l++) {
+	  for (int j=0;j<nsimd;j++) {
+	    int t = lsize * i + l*nsimd + j;
+
+	    ret[j] += conjugate(((Coeff_t*)&x._odata[ss]._internal)[l*nsimd + j]) * y[t];
+	  }
+	}
+      }
+
+      vCoeff_t vret;
+      for (int i=0;i<nsimd;i++)
+	((Coeff_t*)&vret)[i] = (Coeff_t)ret[i];
+
+      return vret;
+
+    }
+
+    template<class T>
+      void vcaxpy(iScalar<T>& r,const vCoeff_t& a,const iScalar<T>& x,const iScalar<T>& y) {
+      vcaxpy(r._internal,a,x._internal,y._internal);
+    }
+
+    template<class T,int N>
+      void vcaxpy(iVector<T,N>& r,const vCoeff_t& a,const iVector<T,N>& x,const iVector<T,N>& y) {
+      for (int i=0;i<N;i++)
+	vcaxpy(r._internal[i],a,x._internal[i],y._internal[i]);
+    }
+
+    void vcaxpy(vCoeff_t& r,const vCoeff_t& a,const vCoeff_t& x,const vCoeff_t& y) {
+      r = a*x + y;
+    }
+
+    void block_caxpy(int b, Field& ret, const vCoeff_t& a, const Field& x, const Field& y) {
+
+      std::vector<int> x0;
+      block_to_coor(b,x0);
+
+      for (int i=0;i<_block_sites;i++) { // only odd sites
+	int ss = block_site_to_o_site(x0,i);
+	vcaxpy(ret._odata[ss],a,x._odata[ss],y._odata[ss]);
+      }
+
+    }
+
+    void block_caxpy(int b, std::vector< ComplexD >& ret, const vCoeff_t& a, const Field& x, const std::vector< ComplexD >& y) {
+      std::vector<int> x0;
+      block_to_coor(b,x0);
+
+      constexpr int nsimd = sizeof(vCoeff_t) / sizeof(Coeff_t);
+      int lsize = _cf_o_block_size / _block_sites;
+
+      for (int i=0;i<_block_sites;i++) { // only odd sites
+	int ss = block_site_to_o_site(x0,i);
+
+	int n = lsize / nsimd;
+	for (int l=0;l<n;l++) {
+	  vCoeff_t r = a* ((vCoeff_t*)&x._odata[ss]._internal)[l];
+
+	  for (int j=0;j<nsimd;j++) {
+	    int t = lsize * i + l*nsimd + j;
+	    ret[t] = y[t] + ((Coeff_t*)&r)[j];
+	  }
+	}
+      }
+
+    }
+
+    void block_set(int b, Field& ret, const std::vector< ComplexD >& x) {
+      std::vector<int> x0;
+      block_to_coor(b,x0);
+
+      int lsize = _cf_o_block_size / _block_sites;
+
+      for (int i=0;i<_block_sites;i++) { // only odd sites
+	int ss = block_site_to_o_site(x0,i);
+
+	for (int l=0;l<lsize;l++)
+	  ((Coeff_t*)&ret._odata[ss]._internal)[l] = (Coeff_t)x[lsize * i + l]; // convert precision
+      }
+
+    }
+
+    void block_get(int b, const Field& ret, std::vector< ComplexD >& x) {
+      std::vector<int> x0;
+      block_to_coor(b,x0);
+
+      int lsize = _cf_o_block_size / _block_sites;
+
+      for (int i=0;i<_block_sites;i++) { // only odd sites
+	int ss = block_site_to_o_site(x0,i);
+
+	for (int l=0;l<lsize;l++)
+	  x[lsize * i + l] = (ComplexD)((Coeff_t*)&ret._odata[ss]._internal)[l];
+      }
+
+    }
+
+    template<class T>
+    void vcscale(iScalar<T>& r,const vCoeff_t& a,const iScalar<T>& x) {
+      vcscale(r._internal,a,x._internal);
+    }
+
+    template<class T,int N>
+    void vcscale(iVector<T,N>& r,const vCoeff_t& a,const iVector<T,N>& x) {
+      for (int i=0;i<N;i++)
+	vcscale(r._internal[i],a,x._internal[i]);
+    }
+
+    void vcscale(vCoeff_t& r,const vCoeff_t& a,const vCoeff_t& x) {
+      r = a*x;
+    }
+
+    void block_cscale(int b, const vCoeff_t& a, Field& ret) {
+
+      std::vector<int> x0;
+      block_to_coor(b,x0);
+      
+      for (int i=0;i<_block_sites;i++) { // only odd sites
+	int ss = block_site_to_o_site(x0,i);
+	vcscale(ret._odata[ss],a,ret._odata[ss]);
+      }
+    }
+
+    void getCanonicalBlockOffset(int cb, std::vector<int>& x0) {
+      const int ndim = 5;
+      assert(_nb.size() == ndim);
+      std::vector<int> _nbc = { _nb[1], _nb[2], _nb[3], _nb[4], _nb[0] };
+      std::vector<int> _bsc = { _bs[1], _bs[2], _bs[3], _bs[4], _bs[0] };
+      x0.resize(ndim);
+
+      assert(cb >= 0);
+      assert(cb < _nbc[0]*_nbc[1]*_nbc[2]*_nbc[3]*_nbc[4]);
+
+      Lexicographic::CoorFromIndex(x0,cb,_nbc);
+      int i;
+
+      for (i=0;i<ndim;i++) {
+	x0[i] *= _bsc[i];
+      }
+
+      //if (cb < 2)
+      //	std::cout << GridLogMessage << "Map: " << cb << " To: " << x0 << std::endl;
+    }
+
+    void pokeBlockOfVectorCanonical(int cb,Field& v,const std::vector<float>& buf) {
+      std::vector<int> _bsc = { _bs[1], _bs[2], _bs[3], _bs[4], _bs[0] };
+      std::vector<int> ldim = v._grid->LocalDimensions();
+      std::vector<int> cldim = { ldim[1], ldim[2], ldim[3], ldim[4], ldim[0] };
+      const int _nbsc = _bs_cb[0]*_bs_cb[1]*_bs_cb[2]*_bs_cb[3]*_bs_cb[4];
+      // take canonical block cb of v and put it in canonical ordering in buf
+      std::vector<int> cx0;
+      getCanonicalBlockOffset(cb,cx0);
+
+#pragma omp parallel
+      {
+	std::vector<int> co0,cl0;
+	co0=cx0; cl0=cx0;
+
+#pragma omp for
+	for (int i=0;i<_nbsc;i++) {
+	  Lexicographic::CoorFromIndex(co0,2*i,_bsc); // 2* for eo
+	  for (int j=0;j<(int)_bsc.size();j++)
+	    cl0[j] = cx0[j] + co0[j];
+	  
+	  std::vector<int> l0 = { cl0[4], cl0[0], cl0[1], cl0[2], cl0[3] };
+	  int oi = v._grid->oIndex(l0);
+	  int ii = v._grid->iIndex(l0);
+	  int lti = i;
+
+	  //if (cb < 2 && i<2)
+	  //  std::cout << GridLogMessage << "Map: " << cb << ", " << i << " To: " << cl0 << ", " << cx0 << ", " << oi << ", " << ii << std::endl;
+	  
+	  for (int s=0;s<4;s++)
+	    for (int c=0;c<3;c++) {
+	      Coeff_t& ld = ((Coeff_t*)&v._odata[oi]._internal._internal[s]._internal[c])[ii];
+	      int ti = 12*lti + 3*s + c;
+	      ld = Coeff_t(buf[2*ti+0], buf[2*ti+1]);
+	    }
+	}
+      }
+    }
+
+    void peekBlockOfVectorCanonical(int cb,const Field& v,std::vector<float>& buf) {
+      std::vector<int> _bsc = { _bs[1], _bs[2], _bs[3], _bs[4], _bs[0] };
+      std::vector<int> ldim = v._grid->LocalDimensions();
+      std::vector<int> cldim = { ldim[1], ldim[2], ldim[3], ldim[4], ldim[0] };
+      const int _nbsc = _bs_cb[0]*_bs_cb[1]*_bs_cb[2]*_bs_cb[3]*_bs_cb[4];
+      // take canonical block cb of v and put it in canonical ordering in buf
+      std::vector<int> cx0;
+      getCanonicalBlockOffset(cb,cx0);
+
+      buf.resize(_cf_block_size * 2);
+
+#pragma omp parallel
+      {
+	std::vector<int> co0,cl0;
+	co0=cx0; cl0=cx0;
+
+#pragma omp for
+	for (int i=0;i<_nbsc;i++) {
+	  Lexicographic::CoorFromIndex(co0,2*i,_bsc); // 2* for eo
+	  for (int j=0;j<(int)_bsc.size();j++)
+	    cl0[j] = cx0[j] + co0[j];
+	  
+	  std::vector<int> l0 = { cl0[4], cl0[0], cl0[1], cl0[2], cl0[3] };
+	  int oi = v._grid->oIndex(l0);
+	  int ii = v._grid->iIndex(l0);
+	  int lti = i;
+	  
+	  //if (cb < 2 && i<2)
+	  //  std::cout << GridLogMessage << "Map: " << cb << ", " << i << " To: " << cl0 << ", " << cx0 << ", " << oi << ", " << ii << std::endl;
+
+	  for (int s=0;s<4;s++)
+	    for (int c=0;c<3;c++) {
+	      Coeff_t& ld = ((Coeff_t*)&v._odata[oi]._internal._internal[s]._internal[c])[ii];
+	      int ti = 12*lti + 3*s + c;
+	      buf[2*ti+0] = ld.real();
+	      buf[2*ti+1] = ld.imag();
+	    }
+	}
+      }
+    }
+
+    int globalToLocalCanonicalBlock(int slot,const std::vector<int>& src_nodes,int nb) {
+      // processor coordinate
+      int _nd = (int)src_nodes.size();
+      std::vector<int> _src_nodes = src_nodes;
+      std::vector<int> pco(_nd);
+      Lexicographic::CoorFromIndex(pco,slot,_src_nodes);
+      std::vector<int> cpco = { pco[1], pco[2], pco[3], pco[4], pco[0] };
+
+      // get local block
+      std::vector<int> _nbc = { _nb[1], _nb[2], _nb[3], _nb[4], _nb[0] };
+      assert(_nd == 5);
+      std::vector<int> c_src_local_blocks(_nd);
+      for (int i=0;i<_nd;i++) {
+	assert(_grid->_fdimensions[i] % (src_nodes[i] * _bs[i]) == 0);
+	c_src_local_blocks[(i+4) % 5] = _grid->_fdimensions[i] / src_nodes[i] / _bs[i];
+      }
+      std::vector<int> cbcoor(_nd); // coordinate of block in slot in canonical form
+      Lexicographic::CoorFromIndex(cbcoor,nb,c_src_local_blocks);
+
+      // cpco, cbcoor
+      std::vector<int> clbcoor(_nd);
+      for (int i=0;i<_nd;i++) {
+	int cgcoor = cpco[i] * c_src_local_blocks[i] + cbcoor[i]; // global block coordinate
+	int pcoor = cgcoor / _nbc[i]; // processor coordinate in my Grid
+	int tpcoor = _grid->_processor_coor[(i+1)%5];
+	if (pcoor != tpcoor)
+	  return -1;
+	clbcoor[i] = cgcoor - tpcoor * _nbc[i]; // canonical local block coordinate for canonical dimension i
+      }
+
+      int lnb;
+      Lexicographic::IndexFromCoor(clbcoor,lnb,_nbc);
+      //std::cout << "Mapped slot = " << slot << " nb = " << nb << " to " << lnb << std::endl;
+      return lnb;
+    }
+
+
+ };
+
+}

lib/algorithms/iterative/BlockImplicitlyRestartedLanczos/FieldBasisVector.h

@@ -0,0 +1,163 @@
+namespace Grid { 
+
+template<class Field>
+class BasisFieldVector {
+ public:
+  int _Nm;
+
+  typedef typename Field::scalar_type Coeff_t;
+  typedef typename Field::vector_type vCoeff_t;
+  typedef typename Field::vector_object vobj;
+  typedef typename vobj::scalar_object sobj;
+
+  std::vector<Field> _v; // _Nfull vectors
+
+  void report(int n,GridBase* value) {
+
+    std::cout << GridLogMessage << "BasisFieldVector allocated:\n";
+    std::cout << GridLogMessage << " Delta N = " << n << "\n";
+    std::cout << GridLogMessage << " Size of full vectors (size) = " << 
+      ((double)n*sizeof(vobj)*value->oSites() / 1024./1024./1024.) << " GB\n";
+    std::cout << GridLogMessage << " Size = " << _v.size() << " Capacity = " << _v.capacity() << std::endl;
+
+    value->Barrier();
+
+    if (value->IsBoss()) {
+      system("cat /proc/meminfo");
+    }
+
+    value->Barrier();
+
+  }
+
+  BasisFieldVector(int Nm,GridBase* value) : _Nm(Nm), _v(Nm,value) {
+    report(Nm,value);
+  }
+  
+  ~BasisFieldVector() {
+  }
+
+  Field& operator[](int i) {
+    return _v[i];
+  }
+
+  void orthogonalize(Field& w, int k) {
+    for(int j=0; j<k; ++j){
+      Coeff_t ip = (Coeff_t)innerProduct(_v[j],w);
+      w = w - ip*_v[j];
+    }
+  }
+
+  void rotate(std::vector<RealD>& Qt,int j0, int j1, int k0,int k1,int Nm) {
+    
+    GridBase* grid = _v[0]._grid;
+      
+#pragma omp parallel
+    {
+      std::vector < vobj > B(Nm);
+      
+#pragma omp for
+      for(int ss=0;ss < grid->oSites();ss++){
+	for(int j=j0; j<j1; ++j) B[j]=0.;
+	
+	for(int j=j0; j<j1; ++j){
+	  for(int k=k0; k<k1; ++k){
+	    B[j] +=Qt[k+Nm*j] * _v[k]._odata[ss];
+	  }
+	}
+	for(int j=j0; j<j1; ++j){
+	  _v[j]._odata[ss] = B[j];
+	}
+      }
+    }
+
+  }
+
+  size_t size() const {
+    return _Nm;
+  }
+
+  void resize(int n) {
+    if (n > _Nm)
+      _v.reserve(n);
+    
+    _v.resize(n,_v[0]._grid);
+
+    if (n < _Nm)
+      _v.shrink_to_fit();
+
+    report(n - _Nm,_v[0]._grid);
+
+    _Nm = n;
+  }
+
+  std::vector<int> getIndex(std::vector<RealD>& sort_vals) {
+
+    std::vector<int> idx(sort_vals.size());
+    iota(idx.begin(), idx.end(), 0);
+
+    // sort indexes based on comparing values in v
+    sort(idx.begin(), idx.end(),
+	 [&sort_vals](int i1, int i2) {return ::fabs(sort_vals[i1]) < ::fabs(sort_vals[i2]);});
+
+    return idx;
+  }
+
+  void reorderInPlace(std::vector<RealD>& sort_vals, std::vector<int>& idx) {
+    GridStopWatch gsw;
+    gsw.Start();
+
+    int nswaps = 0;
+    for (size_t i=0;i<idx.size();i++) {
+      if (idx[i] != i) {
+
+	// find proper place (this could be done in logarithmic time, don't bother for now)
+	size_t j;
+	for (j=i;j<idx.size();j++)
+	  if (idx[j]==i)
+	    break;
+	assert(j!=idx.size());
+	
+	Field _t(_v[0]._grid);
+	_t = _v[idx[j]];
+	_v[idx[j]] = _v[idx[i]];
+	_v[idx[i]] = _t;
+
+	RealD _td = sort_vals[idx[j]];
+	sort_vals[idx[j]] = sort_vals[idx[i]];
+	sort_vals[idx[i]] = _td;
+
+	int _tt = idx[i];
+	idx[i] = idx[j];
+	idx[j] = _tt;
+	
+	nswaps++;
+      }
+    }
+
+    // sort values
+    gsw.Stop();
+    std::cout << GridLogMessage << "Sorted eigenspace in place in " << gsw.Elapsed() << " using " << nswaps << " swaps" << std::endl;
+  }
+
+  void sortInPlace(std::vector<RealD>& sort_vals, bool reverse) {
+
+    std::vector<int> idx = getIndex(sort_vals);
+    if (reverse)
+      std::reverse(idx.begin(), idx.end());
+
+    reorderInPlace(sort_vals,idx);
+
+  }
+
+  void deflate(const std::vector<RealD>& eval,const Field& src_orig,Field& result) {
+    result = zero;
+    int N = (int)_v.size();
+    for (int i=0;i<N;i++) {
+      Field& tmp = _v[i];
+      axpy(result,TensorRemove(innerProduct(tmp,src_orig)) / eval[i],tmp,result);
+    }
+  }
+
+ }; 
+}

lib/algorithms/iterative/ConjugateGradient.h

@@ -52,8 +52,8 @@ class ConjugateGradient : public OperatorFunction<Field> {
         MaxIterations(maxit),
         ErrorOnNoConverge(err_on_no_conv){};
 
-  void operator()(LinearOperatorBase<Field> &Linop, const Field &src,
-                  Field &psi) {
+  void operator()(LinearOperatorBase<Field> &Linop, const Field &src, Field &psi) {
+
     psi.checkerboard = src.checkerboard;
     conformable(psi, src);
 

lib/algorithms/iterative/SchurRedBlack.h

@@ -53,16 +53,110 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
    *     M psi = eta
    ***********************
    *Odd
-   * i)   (D_oo)^{\dag} D_oo psi_o = (D_oo)^dag L^{-1}  eta_o
+   * i)                 D_oo psi_o =  L^{-1}  eta_o
    *                        eta_o' = (D_oo)^dag (eta_o - Moe Mee^{-1} eta_e)
+   *      (D_oo)^{\dag} D_oo psi_o = (D_oo)^dag L^{-1}  eta_o
    *Even
    * ii)  Mee psi_e + Meo psi_o = src_e
    *
    *   => sol_e = M_ee^-1 * ( src_e - Meo sol_o )...
    *
+   * 
+   * TODO: Other options:
+   * 
+   * a) change checkerboards for Schur e<->o
+   *
+   * Left precon by Moo^-1
+   * b) Doo^{dag} M_oo^-dag Moo^-1 Doo psi_0 =  (D_oo)^dag M_oo^-dag Moo^-1 L^{-1}  eta_o
+   *                              eta_o'     = (D_oo)^dag  M_oo^-dag Moo^-1 (eta_o - Moe Mee^{-1} eta_e)
+   *
+   * Right precon by Moo^-1
+   * c) M_oo^-dag Doo^{dag} Doo Moo^-1 phi_0 = M_oo^-dag (D_oo)^dag L^{-1}  eta_o
+   *                              eta_o'     = M_oo^-dag (D_oo)^dag (eta_o - Moe Mee^{-1} eta_e)
+   *                              psi_o = M_oo^-1 phi_o
+   * TODO: Deflation 
    */
 namespace Grid {
 
+  ///////////////////////////////////////////////////////////////////////////////////////////////////////
+  // Take a matrix and form a Red Black solver calling a Herm solver
+  // Use of RB info prevents making SchurRedBlackSolve conform to standard interface
+  ///////////////////////////////////////////////////////////////////////////////////////////////////////
+
+  template<class Field> class SchurRedBlackStaggeredSolve {
+  private:
+    OperatorFunction<Field> & _HermitianRBSolver;
+    int CBfactorise;
+  public:
+
+    /////////////////////////////////////////////////////
+    // Wrap the usual normal equations Schur trick
+    /////////////////////////////////////////////////////
+  SchurRedBlackStaggeredSolve(OperatorFunction<Field> &HermitianRBSolver)  :
+     _HermitianRBSolver(HermitianRBSolver) 
+    { 
+      CBfactorise=0;
+    };
+
+    template<class Matrix>
+      void operator() (Matrix & _Matrix,const Field &in, Field &out){
+
+      // FIXME CGdiagonalMee not implemented virtual function
+      // FIXME use CBfactorise to control schur decomp
+      GridBase *grid = _Matrix.RedBlackGrid();
+      GridBase *fgrid= _Matrix.Grid();
+
+      SchurStaggeredOperator<Matrix,Field> _HermOpEO(_Matrix);
+ 
+      Field src_e(grid);
+      Field src_o(grid);
+      Field sol_e(grid);
+      Field sol_o(grid);
+      Field   tmp(grid);
+      Field  Mtmp(grid);
+      Field resid(fgrid);
+
+      pickCheckerboard(Even,src_e,in);
+      pickCheckerboard(Odd ,src_o,in);
+      pickCheckerboard(Even,sol_e,out);
+      pickCheckerboard(Odd ,sol_o,out);
+    
+      /////////////////////////////////////////////////////
+      // src_o = Mdag * (source_o - Moe MeeInv source_e)
+      /////////////////////////////////////////////////////
+      _Matrix.MooeeInv(src_e,tmp);     assert(  tmp.checkerboard ==Even);
+      _Matrix.Meooe   (tmp,Mtmp);      assert( Mtmp.checkerboard ==Odd);     
+      tmp=src_o-Mtmp;                  assert(  tmp.checkerboard ==Odd);     
+
+      _Matrix.Mooee(tmp,src_o);     assert(src_o.checkerboard ==Odd);
+
+      //////////////////////////////////////////////////////////////
+      // Call the red-black solver
+      //////////////////////////////////////////////////////////////
+      std::cout<<GridLogMessage << "SchurRedBlack solver calling the MpcDagMp solver" <<std::endl;
+      _HermitianRBSolver(_HermOpEO,src_o,sol_o);  assert(sol_o.checkerboard==Odd);
+
+      ///////////////////////////////////////////////////
+      // sol_e = M_ee^-1 * ( src_e - Meo sol_o )...
+      ///////////////////////////////////////////////////
+      _Matrix.Meooe(sol_o,tmp);        assert(  tmp.checkerboard   ==Even);
+      src_e = src_e-tmp;               assert(  src_e.checkerboard ==Even);
+      _Matrix.MooeeInv(src_e,sol_e);   assert(  sol_e.checkerboard ==Even);
+     
+      setCheckerboard(out,sol_e); assert(  sol_e.checkerboard ==Even);
+      setCheckerboard(out,sol_o); assert(  sol_o.checkerboard ==Odd );
+
+      // Verify the unprec residual
+      _Matrix.M(out,resid); 
+      resid = resid-in;
+      RealD ns = norm2(in);
+      RealD nr = norm2(resid);
+
+      std::cout<<GridLogMessage << "SchurRedBlackStaggered solver true unprec resid "<< std::sqrt(nr/ns) <<" nr "<< nr <<" ns "<<ns << std::endl;
+    }     
+  };
+  template<class Field> using SchurRedBlackStagSolve = SchurRedBlackStaggeredSolve<Field>;
+
   ///////////////////////////////////////////////////////////////////////////////////////////////////////
   // Take a matrix and form a Red Black solver calling a Herm solver
   // Use of RB info prevents making SchurRedBlackSolve conform to standard interface
@@ -76,12 +170,10 @@ namespace Grid {
     /////////////////////////////////////////////////////
     // Wrap the usual normal equations Schur trick
     /////////////////////////////////////////////////////
-  SchurRedBlackDiagMooeeSolve(OperatorFunction<Field> &HermitianRBSolver)  :
-     _HermitianRBSolver(HermitianRBSolver) 
+  SchurRedBlackDiagMooeeSolve(OperatorFunction<Field> &HermitianRBSolver,int cb=0)  :  _HermitianRBSolver(HermitianRBSolver) 
   { 
-      CBfactorise=0;
+    CBfactorise=cb;
   };
-
     template<class Matrix>
       void operator() (Matrix & _Matrix,const Field &in, Field &out){
 
@@ -141,5 +233,166 @@ namespace Grid {
     }     
   };
 
+
+  ///////////////////////////////////////////////////////////////////////////////////////////////////////
+  // Take a matrix and form a Red Black solver calling a Herm solver
+  // Use of RB info prevents making SchurRedBlackSolve conform to standard interface
+  ///////////////////////////////////////////////////////////////////////////////////////////////////////
+  template<class Field> class SchurRedBlackDiagTwoSolve {
+  private:
+    OperatorFunction<Field> & _HermitianRBSolver;
+    int CBfactorise;
+  public:
+
+    /////////////////////////////////////////////////////
+    // Wrap the usual normal equations Schur trick
+    /////////////////////////////////////////////////////
+  SchurRedBlackDiagTwoSolve(OperatorFunction<Field> &HermitianRBSolver)  :
+     _HermitianRBSolver(HermitianRBSolver) 
+    { 
+      CBfactorise=0;
+    };
+
+    template<class Matrix>
+      void operator() (Matrix & _Matrix,const Field &in, Field &out){
+
+      // FIXME CGdiagonalMee not implemented virtual function
+      // FIXME use CBfactorise to control schur decomp
+      GridBase *grid = _Matrix.RedBlackGrid();
+      GridBase *fgrid= _Matrix.Grid();
+
+      SchurDiagTwoOperator<Matrix,Field> _HermOpEO(_Matrix);
+ 
+      Field src_e(grid);
+      Field src_o(grid);
+      Field sol_e(grid);
+      Field sol_o(grid);
+      Field   tmp(grid);
+      Field  Mtmp(grid);
+      Field resid(fgrid);
+
+      pickCheckerboard(Even,src_e,in);
+      pickCheckerboard(Odd ,src_o,in);
+      pickCheckerboard(Even,sol_e,out);
+      pickCheckerboard(Odd ,sol_o,out);
+    
+      /////////////////////////////////////////////////////
+      // src_o = Mdag * (source_o - Moe MeeInv source_e)
+      /////////////////////////////////////////////////////
+      _Matrix.MooeeInv(src_e,tmp);     assert(  tmp.checkerboard ==Even);
+      _Matrix.Meooe   (tmp,Mtmp);      assert( Mtmp.checkerboard ==Odd);     
+      tmp=src_o-Mtmp;                  assert(  tmp.checkerboard ==Odd);     
+
+      // get the right MpcDag
+      _HermOpEO.MpcDag(tmp,src_o);     assert(src_o.checkerboard ==Odd);       
+
+      //////////////////////////////////////////////////////////////
+      // Call the red-black solver
+      //////////////////////////////////////////////////////////////
+      std::cout<<GridLogMessage << "SchurRedBlack solver calling the MpcDagMp solver" <<std::endl;
+//      _HermitianRBSolver(_HermOpEO,src_o,sol_o);  assert(sol_o.checkerboard==Odd);
+      _HermitianRBSolver(_HermOpEO,src_o,tmp);  assert(tmp.checkerboard==Odd);
+      _Matrix.MooeeInv(tmp,sol_o);        assert(  sol_o.checkerboard   ==Odd);
+
+      ///////////////////////////////////////////////////
+      // sol_e = M_ee^-1 * ( src_e - Meo sol_o )...
+      ///////////////////////////////////////////////////
+      _Matrix.Meooe(sol_o,tmp);        assert(  tmp.checkerboard   ==Even);
+      src_e = src_e-tmp;               assert(  src_e.checkerboard ==Even);
+      _Matrix.MooeeInv(src_e,sol_e);   assert(  sol_e.checkerboard ==Even);
+     
+      setCheckerboard(out,sol_e); assert(  sol_e.checkerboard ==Even);
+      setCheckerboard(out,sol_o); assert(  sol_o.checkerboard ==Odd );
+
+      // Verify the unprec residual
+      _Matrix.M(out,resid); 
+      resid = resid-in;
+      RealD ns = norm2(in);
+      RealD nr = norm2(resid);
+
+      std::cout<<GridLogMessage << "SchurRedBlackDiagTwo solver true unprec resid "<< std::sqrt(nr/ns) <<" nr "<< nr <<" ns "<<ns << std::endl;
+    }     
+  };
+  ///////////////////////////////////////////////////////////////////////////////////////////////////////
+  // Take a matrix and form a Red Black solver calling a Herm solver
+  // Use of RB info prevents making SchurRedBlackSolve conform to standard interface
+  ///////////////////////////////////////////////////////////////////////////////////////////////////////
+  template<class Field> class SchurRedBlackDiagTwoMixed {
+  private:
+    LinearFunction<Field> & _HermitianRBSolver;
+    int CBfactorise;
+  public:
+
+    /////////////////////////////////////////////////////
+    // Wrap the usual normal equations Schur trick
+    /////////////////////////////////////////////////////
+  SchurRedBlackDiagTwoMixed(LinearFunction<Field> &HermitianRBSolver)  :
+     _HermitianRBSolver(HermitianRBSolver) 
+    { 
+      CBfactorise=0;
+    };
+
+    template<class Matrix>
+      void operator() (Matrix & _Matrix,const Field &in, Field &out){
+
+      // FIXME CGdiagonalMee not implemented virtual function
+      // FIXME use CBfactorise to control schur decomp
+      GridBase *grid = _Matrix.RedBlackGrid();
+      GridBase *fgrid= _Matrix.Grid();
+
+      SchurDiagTwoOperator<Matrix,Field> _HermOpEO(_Matrix);
+ 
+      Field src_e(grid);
+      Field src_o(grid);
+      Field sol_e(grid);
+      Field sol_o(grid);
+      Field   tmp(grid);
+      Field  Mtmp(grid);
+      Field resid(fgrid);
+
+      pickCheckerboard(Even,src_e,in);
+      pickCheckerboard(Odd ,src_o,in);
+      pickCheckerboard(Even,sol_e,out);
+      pickCheckerboard(Odd ,sol_o,out);
+    
+      /////////////////////////////////////////////////////
+      // src_o = Mdag * (source_o - Moe MeeInv source_e)
+      /////////////////////////////////////////////////////
+      _Matrix.MooeeInv(src_e,tmp);     assert(  tmp.checkerboard ==Even);
+      _Matrix.Meooe   (tmp,Mtmp);      assert( Mtmp.checkerboard ==Odd);     
+      tmp=src_o-Mtmp;                  assert(  tmp.checkerboard ==Odd);     
+
+      // get the right MpcDag
+      _HermOpEO.MpcDag(tmp,src_o);     assert(src_o.checkerboard ==Odd);       
+
+      //////////////////////////////////////////////////////////////
+      // Call the red-black solver
+      //////////////////////////////////////////////////////////////
+      std::cout<<GridLogMessage << "SchurRedBlack solver calling the MpcDagMp solver" <<std::endl;
+//      _HermitianRBSolver(_HermOpEO,src_o,sol_o);  assert(sol_o.checkerboard==Odd);
+//      _HermitianRBSolver(_HermOpEO,src_o,tmp);  assert(tmp.checkerboard==Odd);
+      _HermitianRBSolver(src_o,tmp);  assert(tmp.checkerboard==Odd);
+      _Matrix.MooeeInv(tmp,sol_o);        assert(  sol_o.checkerboard   ==Odd);
+
+      ///////////////////////////////////////////////////
+      // sol_e = M_ee^-1 * ( src_e - Meo sol_o )...
+      ///////////////////////////////////////////////////
+      _Matrix.Meooe(sol_o,tmp);        assert(  tmp.checkerboard   ==Even);
+      src_e = src_e-tmp;               assert(  src_e.checkerboard ==Even);
+      _Matrix.MooeeInv(src_e,sol_e);   assert(  sol_e.checkerboard ==Even);
+     
+      setCheckerboard(out,sol_e); assert(  sol_e.checkerboard ==Even);
+      setCheckerboard(out,sol_o); assert(  sol_o.checkerboard ==Odd );
+
+      // Verify the unprec residual
+      _Matrix.M(out,resid); 
+      resid = resid-in;
+      RealD ns = norm2(in);
+      RealD nr = norm2(resid);
+
+      std::cout<<GridLogMessage << "SchurRedBlackDiagTwo solver true unprec resid "<< std::sqrt(nr/ns) <<" nr "<< nr <<" ns "<<ns << std::endl;
+    }     
+  };
+
 }
 #endif

lib/cartesian/Cartesian_base.h

@@ -49,6 +49,8 @@ public:
     template<class object> friend class Lattice;
 
     GridBase(const std::vector<int> & processor_grid) : CartesianCommunicator(processor_grid) {};
+    GridBase(const std::vector<int> & processor_grid,
+	     const CartesianCommunicator &parent) : CartesianCommunicator(processor_grid,parent) {};
 
     // Physics Grid information.
     std::vector<int> _simd_layout;// Which dimensions get relayed out over simd lanes.
@@ -210,9 +212,6 @@ public:
       assert(lidx<lSites());
       Lexicographic::CoorFromIndex(lcoor,lidx,_ldimensions);
     }
-
-
-
     void GlobalCoorToGlobalIndex(const std::vector<int> & gcoor,int & gidx){
       gidx=0;
       int mult=1;

lib/cartesian/Cartesian_full.h

@@ -61,9 +61,29 @@ public:
     virtual int CheckerBoardShift(int source_cb,int dim,int shift, int osite){
       return shift;
     }
+    /////////////////////////////////////////////////////////////////////////
+    // Constructor takes a parent grid and possibly subdivides communicator.
+    /////////////////////////////////////////////////////////////////////////
+    GridCartesian(const std::vector<int> &dimensions,
+		  const std::vector<int> &simd_layout,
+		  const std::vector<int> &processor_grid,
+		  const GridCartesian &parent) : GridBase(processor_grid,parent)
+    {
+      Init(dimensions,simd_layout,processor_grid);
+    }
+    /////////////////////////////////////////////////////////////////////////
+    // Construct from comm world
+    /////////////////////////////////////////////////////////////////////////
     GridCartesian(const std::vector<int> &dimensions,
 		  const std::vector<int> &simd_layout,
 		  const std::vector<int> &processor_grid) : GridBase(processor_grid)
+    {
+      Init(dimensions,simd_layout,processor_grid);
+    }
+
+    void Init(const std::vector<int> &dimensions,
+	      const std::vector<int> &simd_layout,
+	      const std::vector<int> &processor_grid)
     {
       ///////////////////////
       // Grid information

lib/cartesian/Cartesian_red_black.h

@@ -112,24 +112,57 @@ public:
       }
     };
 
-    GridRedBlackCartesian(const GridBase *base) : GridRedBlackCartesian(base->_fdimensions,base->_simd_layout,base->_processors)  {};
+    ////////////////////////////////////////////////////////////
+    // Create Redblack from original grid; require full grid pointer ?
+    ////////////////////////////////////////////////////////////
+    GridRedBlackCartesian(const GridBase *base) : GridBase(base->_processors,*base)
+    {
+      int dims = base->_ndimension;
+      std::vector<int> checker_dim_mask(dims,1);
+      int checker_dim = 0;
+      Init(base->_fdimensions,base->_simd_layout,base->_processors,checker_dim_mask,checker_dim);
+    };
 
-    GridRedBlackCartesian(const std::vector<int> &dimensions,
+    ////////////////////////////////////////////////////////////
+    // Create redblack from original grid, with non-trivial checker dim mask
+    ////////////////////////////////////////////////////////////
+    GridRedBlackCartesian(const GridBase *base,
+			  const std::vector<int> &checker_dim_mask,
+			  int checker_dim
+			  ) :  GridBase(base->_processors,*base) 
+    {
+      Init(base->_fdimensions,base->_simd_layout,base->_processors,checker_dim_mask,checker_dim)  ;
+    }
+#if 0
+    ////////////////////////////////////////////////////////////
+    // Create redblack grid ;; deprecate these. Should not
+    // need direct creation of redblack without a full grid to base on
+    ////////////////////////////////////////////////////////////
+    GridRedBlackCartesian(const GridBase *base,
+			  const std::vector<int> &dimensions,
 			  const std::vector<int> &simd_layout,
 			  const std::vector<int> &processor_grid,
 			  const std::vector<int> &checker_dim_mask,
 			  int checker_dim
-			  ) :  GridBase(processor_grid) 
+			  ) :  GridBase(processor_grid,*base) 
     {
       Init(dimensions,simd_layout,processor_grid,checker_dim_mask,checker_dim);
     }
-    GridRedBlackCartesian(const std::vector<int> &dimensions,
+
+    ////////////////////////////////////////////////////////////
+    // Create redblack grid
+    ////////////////////////////////////////////////////////////
+    GridRedBlackCartesian(const GridBase *base,
+			  const std::vector<int> &dimensions,
 			  const std::vector<int> &simd_layout,
-			  const std::vector<int> &processor_grid) : GridBase(processor_grid) 
+			  const std::vector<int> &processor_grid) : GridBase(processor_grid,*base) 
     {
       std::vector<int> checker_dim_mask(dimensions.size(),1);
-      Init(dimensions,simd_layout,processor_grid,checker_dim_mask,0);
+      int checker_dim = 0;
+      Init(dimensions,simd_layout,processor_grid,checker_dim_mask,checker_dim);
     }
+#endif
+
     void Init(const std::vector<int> &dimensions,
               const std::vector<int> &simd_layout,
               const std::vector<int> &processor_grid,

lib/communicator/Communicator_base.cc

@@ -96,6 +96,113 @@ void CartesianCommunicator::GlobalSumVector(ComplexD *c,int N)
   GlobalSumVector((double *)c,2*N);
 }
 
+
+#if defined( GRID_COMMS_MPI) || defined (GRID_COMMS_MPIT)
+
+CartesianCommunicator::CartesianCommunicator(const std::vector<int> &processors,const CartesianCommunicator &parent) 
+{
+  _ndimension = processors.size();
+  assert(_ndimension = parent._ndimension);
+  
+  //////////////////////////////////////////////////////////////////////////////////////////////////////
+  // split the communicator
+  //////////////////////////////////////////////////////////////////////////////////////////////////////
+  int Nparent;
+  MPI_Comm_size(parent.communicator,&Nparent);
+
+  int childsize=1;
+  for(int d=0;d<processors.size();d++) {
+    childsize *= processors[d];
+  }
+  int Nchild = Nparent/childsize;
+  assert (childsize * Nchild == Nparent);
+
+  std::vector<int> ccoor(_ndimension); // coor within subcommunicator
+  std::vector<int> scoor(_ndimension); // coor of split within parent
+  std::vector<int> ssize(_ndimension); // coor of split within parent
+
+  for(int d=0;d<_ndimension;d++){
+    ccoor[d] = parent._processor_coor[d] % processors[d];
+    scoor[d] = parent._processor_coor[d] / processors[d];
+    ssize[d] = parent._processors[d]/ processors[d];
+  }
+  int crank,srank;  // rank within subcomm ; rank of subcomm within blocks of subcomms
+  Lexicographic::IndexFromCoor(ccoor,crank,processors);
+  Lexicographic::IndexFromCoor(scoor,srank,ssize);
+
+  MPI_Comm comm_split;
+  if ( Nchild > 1 ) { 
+
+    //    std::cout << GridLogMessage<<"Child communicator of "<< std::hex << parent.communicator << std::dec<<std::endl;
+    //    std::cout << GridLogMessage<<" parent grid["<< parent._ndimension<<"]    ";
+    //    for(int d=0;d<parent._processors.size();d++)  std::cout << parent._processors[d] << " ";
+    //    std::cout<<std::endl;
+
+    //    std::cout << GridLogMessage<<" child grid["<< _ndimension <<"]    ";
+    //    for(int d=0;d<processors.size();d++)  std::cout << processors[d] << " ";
+    //    std::cout<<std::endl;
+
+    int ierr= MPI_Comm_split(parent.communicator,srank,crank,&comm_split);
+    assert(ierr==0);
+    //////////////////////////////////////////////////////////////////////////////////////////////////////
+    // Declare victory
+    //////////////////////////////////////////////////////////////////////////////////////////////////////
+    //    std::cout << GridLogMessage<<"Divided communicator "<< parent._Nprocessors<<" into "
+    // 	      << Nchild <<" communicators with " << childsize << " ranks"<<std::endl;
+  } else {
+    comm_split=parent.communicator;
+  }
+
+  //////////////////////////////////////////////////////////////////////////////////////////////////////
+  // Set up from the new split communicator
+  //////////////////////////////////////////////////////////////////////////////////////////////////////
+  InitFromMPICommunicator(processors,comm_split);
+}
+//////////////////////////////////////////////////////////////////////////////////////////////////////
+// Take an MPI_Comm and self assemble
+//////////////////////////////////////////////////////////////////////////////////////////////////////
+void CartesianCommunicator::InitFromMPICommunicator(const std::vector<int> &processors, MPI_Comm communicator_base)
+{
+  //  if ( communicator_base != communicator_world ) {
+  //    std::cout << "Cartesian communicator created with a non-world communicator"<<std::endl;
+  //  }
+  _ndimension = processors.size();
+  _processor_coor.resize(_ndimension);
+
+  /////////////////////////////////
+  // Count the requested nodes
+  /////////////////////////////////
+  _Nprocessors=1;
+  _processors = processors;
+  for(int i=0;i<_ndimension;i++){
+    _Nprocessors*=_processors[i];
+  }
+
+  std::vector<int> periodic(_ndimension,1);
+  MPI_Cart_create(communicator_base, _ndimension,&_processors[0],&periodic[0],1,&communicator);
+  MPI_Comm_rank(communicator,&_processor);
+  MPI_Cart_coords(communicator,_processor,_ndimension,&_processor_coor[0]);
+
+  int Size;
+  MPI_Comm_size(communicator,&Size);
+
+#ifdef GRID_COMMS_MPIT
+  communicator_halo.resize (2*_ndimension);
+  for(int i=0;i<_ndimension*2;i++){
+    MPI_Comm_dup(communicator,&communicator_halo[i]);
+  }
+#endif
+  
+  assert(Size==_Nprocessors);
+}
+
+CartesianCommunicator::CartesianCommunicator(const std::vector<int> &processors) 
+{
+  InitFromMPICommunicator(processors,communicator_world);
+}
+
+#endif
+
 #if !defined( GRID_COMMS_MPI3) 
 
 int                      CartesianCommunicator::NodeCount(void)    { return ProcessorCount();};
@@ -147,8 +254,13 @@ void *CartesianCommunicator::ShmBufferTranslate(int rank,void * local_p) {
 }
 void CartesianCommunicator::ShmInitGeneric(void){
 #if 1
-
-  int mmap_flag = MAP_SHARED | MAP_ANONYMOUS;
+  int mmap_flag =0;
+#ifdef MAP_ANONYMOUS
+  mmap_flag = mmap_flag| MAP_SHARED | MAP_ANONYMOUS;
+#endif
+#ifdef MAP_ANON
+  mmap_flag = mmap_flag| MAP_SHARED | MAP_ANON;
+#endif
 #ifdef MAP_HUGETLB
   if ( Hugepages ) mmap_flag |= MAP_HUGETLB;
 #endif

lib/communicator/Communicator_base.h

@@ -83,6 +83,7 @@ class CartesianCommunicator {
   std::vector<MPI_Comm> communicator_halo;
 
   typedef MPI_Request CommsRequest_t;
+
 #else 
   typedef int CommsRequest_t;
 #endif
@@ -149,10 +150,22 @@ class CartesianCommunicator {
   static void Init(int *argc, char ***argv);
 
   ////////////////////////////////////////////////
-  // Constructor of any given grid
+  // Constructors to sub-divide a parent communicator
+  // and default to comm world
   ////////////////////////////////////////////////
+  CartesianCommunicator(const std::vector<int> &processors,const CartesianCommunicator &parent);
   CartesianCommunicator(const std::vector<int> &pdimensions_in);
 
+ private:
+#if defined (GRID_COMMS_MPI) || defined (GRID_COMMS_MPIT) 
+  ////////////////////////////////////////////////
+  // Private initialise from an MPI communicator
+  // Can use after an MPI_Comm_split, but hidden from user so private
+  ////////////////////////////////////////////////
+  void InitFromMPICommunicator(const std::vector<int> &processors, MPI_Comm communicator_base);
+#endif
+ public:
+  
   ////////////////////////////////////////////////////////////////////////////////////////
   // Wraps MPI_Cart routines, or implements equivalent on other impls
   ////////////////////////////////////////////////////////////////////////////////////////
@@ -250,6 +263,23 @@ class CartesianCommunicator {
   ////////////////////////////////////////////////////////////
   void Broadcast(int root,void* data, int bytes);
 
+  ////////////////////////////////////////////////////////////
+  // All2All down one dimension
+  ////////////////////////////////////////////////////////////
+  template<class T> void AllToAll(int dim,std::vector<T> &in, std::vector<T> &out){
+    assert(dim>=0);
+    assert(dim<_ndimension);
+    int numnode = _processors[dim];
+    //    std::cerr << " AllToAll in.size()  "<<in.size()<<std::endl;
+    //    std::cerr << " AllToAll out.size() "<<out.size()<<std::endl;
+    assert(in.size()==out.size());
+    size_t bytes=(in.size()*sizeof(T))/numnode;
+    assert((bytes*numnode) == in.size()*sizeof(T));
+    AllToAll(dim,(void *)&in[0],(void *)&out[0],bytes);
+  }
+  void AllToAll(int dim  ,void *in,void *out,int bytes);
+  void AllToAll(void  *in,void *out,int bytes);
+  
   template<class obj> void Broadcast(int root,obj &data)
     {
       Broadcast(root,(void *)&data,sizeof(data));

lib/communicator/Communicator_mpi.cc

@@ -52,29 +52,6 @@ void CartesianCommunicator::Init(int *argc, char ***argv) {
   MPI_Comm_dup (MPI_COMM_WORLD,&communicator_world);
   ShmInitGeneric();
 }
-
-CartesianCommunicator::CartesianCommunicator(const std::vector<int> &processors)
-{
-  _ndimension = processors.size();
-  std::vector<int> periodic(_ndimension,1);
-
-  _Nprocessors=1;
-  _processors = processors;
-  _processor_coor.resize(_ndimension);
-  
-  MPI_Cart_create(communicator_world, _ndimension,&_processors[0],&periodic[0],1,&communicator);
-  MPI_Comm_rank(communicator,&_processor);
-  MPI_Cart_coords(communicator,_processor,_ndimension,&_processor_coor[0]);
-
-  for(int i=0;i<_ndimension;i++){
-    _Nprocessors*=_processors[i];
-  }
-  
-  int Size; 
-  MPI_Comm_size(communicator,&Size);
-  
-  assert(Size==_Nprocessors);
-}
 void CartesianCommunicator::GlobalSum(uint32_t &u){
   int ierr=MPI_Allreduce(MPI_IN_PLACE,&u,1,MPI_UINT32_T,MPI_SUM,communicator);
   assert(ierr==0);
@@ -210,6 +187,21 @@ void CartesianCommunicator::Broadcast(int root,void* data, int bytes)
 		     root,
 		     communicator);
   assert(ierr==0);
+}
+void CartesianCommunicator::AllToAll(int dim,void  *in,void *out,int bytes)
+{
+  std::vector<int> row(_ndimension,1);
+  assert(dim>=0 && dim<_ndimension);
+
+  //  Split the communicator
+  row[dim] = _processors[dim];
+
+  CartesianCommunicator Comm(row,*this);
+  Comm.AllToAll(in,out,bytes);
+}
+void CartesianCommunicator::AllToAll(void  *in,void *out,int bytes)
+{
+  MPI_Alltoall(in ,bytes,MPI_BYTE,out,bytes,MPI_BYTE,communicator);
 }
   ///////////////////////////////////////////////////////
   // Should only be used prior to Grid Init finished.
@@ -230,5 +222,7 @@ void CartesianCommunicator::BroadcastWorld(int root,void* data, int bytes)
   assert(ierr==0);
 }
 
+
+
 }
 

lib/communicator/Communicator_mpi3.cc

@@ -450,6 +450,15 @@ void  CartesianCommunicator::ProcessorCoorFromRank(int rank, std::vector<int> &c
   assert(lr!=-1);
   Lexicographic::CoorFromIndex(coor,lr,_processors);
 }
+
+//////////////////////////////////
+// Try to subdivide communicator
+//////////////////////////////////
+CartesianCommunicator::CartesianCommunicator(const std::vector<int> &processors,const CartesianCommunicator &parent) 
+  : CartesianCommunicator(processors) 
+{
+  std::cout << "Attempts to split MPI3 communicators will fail until implemented" <<std::endl;
+}
 CartesianCommunicator::CartesianCommunicator(const std::vector<int> &processors)
 { 
   int ierr;

lib/communicator/Communicator_mpit.cc

@@ -53,33 +53,6 @@ void CartesianCommunicator::Init(int *argc, char ***argv) {
   ShmInitGeneric();
 }
 
-CartesianCommunicator::CartesianCommunicator(const std::vector<int> &processors)
-{
-  _ndimension = processors.size();
-  std::vector<int> periodic(_ndimension,1);
-
-  _Nprocessors=1;
-  _processors = processors;
-  _processor_coor.resize(_ndimension);
-  
-  MPI_Cart_create(communicator_world, _ndimension,&_processors[0],&periodic[0],1,&communicator);
-  MPI_Comm_rank(communicator,&_processor);
-  MPI_Cart_coords(communicator,_processor,_ndimension,&_processor_coor[0]);
-
-  for(int i=0;i<_ndimension;i++){
-    _Nprocessors*=_processors[i];
-  }
-
-  communicator_halo.resize (2*_ndimension);
-  for(int i=0;i<_ndimension*2;i++){
-    MPI_Comm_dup(communicator,&communicator_halo[i]);
-  }
-  
-  int Size; 
-  MPI_Comm_size(communicator,&Size);
-  
-  assert(Size==_Nprocessors);
-}
 void CartesianCommunicator::GlobalSum(uint32_t &u){
   int ierr=MPI_Allreduce(MPI_IN_PLACE,&u,1,MPI_UINT32_T,MPI_SUM,communicator);
   assert(ierr==0);

lib/communicator/Communicator_none.cc

@@ -38,6 +38,9 @@ void CartesianCommunicator::Init(int *argc, char *** arv)
   ShmInitGeneric();
 }
 
+CartesianCommunicator::CartesianCommunicator(const std::vector<int> &processors,const CartesianCommunicator &parent) 
+  : CartesianCommunicator(processors) {}
+
 CartesianCommunicator::CartesianCommunicator(const std::vector<int> &processors)
 {
   _processors = processors;
@@ -95,6 +98,10 @@ void CartesianCommunicator::SendToRecvFromComplete(std::vector<CommsRequest_t> &
 {
   assert(0);
 }
+void CartesianCommunicator::AllToAll(int dim,void  *in,void *out,int bytes)
+{
+  bcopy(in,out,bytes);
+}
 
 int  CartesianCommunicator::RankWorld(void){return 0;}
 void CartesianCommunicator::Barrier(void){}

lib/communicator/Communicator_shmem.cc

@@ -75,6 +75,11 @@ void CartesianCommunicator::Init(int *argc, char ***argv) {
   ShmInitGeneric();
 }
 
+CartesianCommunicator::CartesianCommunicator(const std::vector<int> &processors,const CartesianCommunicator &parent) 
+  : CartesianCommunicator(processors) 
+{
+  std::cout << "Attempts to split SHMEM communicators will fail " <<std::endl;
+}
 CartesianCommunicator::CartesianCommunicator(const std::vector<int> &processors)
 {
   _ndimension = processors.size();

lib/json/json.hpp

@@ -63,7 +63,7 @@ SOFTWARE.
         #error "unsupported Clang version - see https://github.com/nlohmann/json#supported-compilers"
     #endif
 #elif defined(__GNUC__)
-    #if (__GNUC__ * 10000 + __GNUC_MINOR__ * 100 + __GNUC_PATCHLEVEL__) < 40900
+    #if (__GNUC__ * 10000 + __GNUC_MINOR__ * 100 + __GNUC_PATCHLEVEL__) < 40805
         #error "unsupported GCC version - see https://github.com/nlohmann/json#supported-compilers"
     #endif
 #endif

lib/lattice/Lattice_reduction.h

@@ -544,7 +544,6 @@ static void sliceInnerProductMatrix(  Eigen::MatrixXcd &mat, const Lattice<vobj>
       for(int i=0;i<Nblock;i++){
       for(int j=0;j<Nblock;j++){
 	auto tmp = innerProduct(Left[i],Right[j]);
-	//	vector_typeD rtmp = TensorRemove(tmp);
 	auto rtmp = TensorRemove(tmp);
 	mat_thread(i,j) += Reduce(rtmp);
       }}

lib/lattice/Lattice_transfer.h

@@ -685,5 +685,306 @@ void precisionChange(Lattice<VobjOut> &out, const Lattice<VobjIn> &in){
   }
 }
 
+////////////////////////////////////////////////////////////////////////////////
+// Communicate between grids
+////////////////////////////////////////////////////////////////////////////////
+//
+// All to all plan
+//
+// Subvolume on fine grid is v.    Vectors a,b,c,d 
+//
+///////////////////////////////////////////////////////////////////////////////////////////////////////////
+// SIMPLEST CASE:
+///////////////////////////////////////////////////////////////////////////////////////////////////////////
+// Mesh of nodes (2) ; subdivide to  1 subdivisions
+//
+// Lex ord:   
+//          N0 va0 vb0  N1 va1 vb1 
+//
+// For each dimension do an all to all
+//
+// full AllToAll(0)
+//          N0 va0 va1    N1 vb0 vb1
+//
+// REARRANGE
+//          N0 va01       N1 vb01
+//
+// Must also rearrange data to get into the NEW lex order of grid at each stage. Some kind of "insert/extract".
+// NB: Easiest to programme if keep in lex order.
+//
+///////////////////////////////////////////////////////////////////////////////////////////////////////////
+// SIMPLE CASE:
+///////////////////////////////////////////////////////////////////////////////////////////////////////////
+//
+// Mesh of nodes (2x2) ; subdivide to  1x1 subdivisions
+//
+// Lex ord:   
+//          N0 va0 vb0 vc0 vd0       N1 va1 vb1 vc1 vd1  
+//          N2 va2 vb2 vc2 vd2       N3 va3 vb3 vc3 vd3 
+//
+// Ratio = full[dim] / split[dim]
+//
+// For each dimension do an all to all; get Nvec -> Nvec / ratio
+//                                          Ldim -> Ldim * ratio
+//                                          LocalVol -> LocalVol * ratio
+// full AllToAll(0)
+//          N0 va0 vb0 va1 vb1       N1 vc0 vd0 vc1 vd1   
+//          N2 va2 vb2 va3 vb3       N3 vc2 vd2 vc3 vd3 
+//
+// REARRANGE
+//          N0 va01 vb01      N1 vc01 vd01
+//          N2 va23 vb23      N3 vc23 vd23
+//
+// full AllToAll(1)           // Not what is wanted. FIXME
+//          N0 va01 va23      N1 vc01 vc23 
+//          N2 vb01 vb23      N3 vd01 vd23
+// 
+// REARRANGE
+//          N0 va0123      N1 vc0123
+//          N2 vb0123      N3 vd0123
+//
+// Must also rearrange data to get into the NEW lex order of grid at each stage. Some kind of "insert/extract".
+// NB: Easiest to programme if keep in lex order.
+//
+/////////////////////////////////////////////////////////
+template<class Vobj>
+void Grid_split(std::vector<Lattice<Vobj> > & full,Lattice<Vobj>   & split)
+{
+  typedef typename Vobj::scalar_object Sobj;
+
+  int full_vecs   = full.size();
+
+  assert(full_vecs>=1);
+
+  GridBase * full_grid = full[0]._grid;
+  GridBase *split_grid = split._grid;
+
+  int       ndim  = full_grid->_ndimension;
+  int  full_nproc = full_grid->_Nprocessors;
+  int split_nproc =split_grid->_Nprocessors;
+
+  ////////////////////////////////
+  // Checkerboard management
+  ////////////////////////////////
+  int cb = full[0].checkerboard;
+  split.checkerboard = cb;
+
+  //////////////////////////////
+  // Checks
+  //////////////////////////////
+  assert(full_grid->_ndimension==split_grid->_ndimension);
+  for(int n=0;n<full_vecs;n++){
+    assert(full[n].checkerboard == cb);
+    for(int d=0;d<ndim;d++){
+      assert(full[n]._grid->_gdimensions[d]==split._grid->_gdimensions[d]);
+      assert(full[n]._grid->_fdimensions[d]==split._grid->_fdimensions[d]);
+    }
+  }
+
+  int   nvector   =full_nproc/split_nproc; 
+  assert(nvector*split_nproc==full_nproc);
+  assert(nvector == full_vecs);
+
+  std::vector<int> ratio(ndim);
+  for(int d=0;d<ndim;d++){
+    ratio[d] = full_grid->_processors[d]/ split_grid->_processors[d];
+  }
+
+  int lsites = full_grid->lSites();
+  Integer sz = lsites * nvector;
+  std::vector<Sobj> tmpdata(sz);
+  std::vector<Sobj> alldata(sz);
+  std::vector<Sobj> scalardata(lsites); 
+  for(int v=0;v<nvector;v++){
+    unvectorizeToLexOrdArray(scalardata,full[v]);    
+    parallel_for(int site=0;site<lsites;site++){
+      alldata[v*lsites+site] = scalardata[site];
+    }
+  }
+
+  int nvec = nvector; // Counts down to 1 as we collapse dims
+  std::vector<int> ldims = full_grid->_ldimensions;
+  std::vector<int> lcoor(ndim);
+
+  for(int d=0;d<ndim;d++){
+
+    if ( ratio[d] != 1 ) {
+
+      full_grid ->AllToAll(d,alldata,tmpdata);
+
+      //////////////////////////////////////////
+      //Local volume for this dimension is expanded by ratio of processor extents
+      // Number of vectors is decreased by same factor
+      // Rearrange to lexico for bigger volume
+      //////////////////////////////////////////
+      nvec    /= ratio[d];
+      auto rdims = ldims; rdims[d]  *=   ratio[d];
+      auto rsites= lsites*ratio[d];
+      for(int v=0;v<nvec;v++){
+
+	// For loop over each site within old subvol
+	for(int lsite=0;lsite<lsites;lsite++){
+
+	  Lexicographic::CoorFromIndex(lcoor, lsite, ldims);	  
+
+	  for(int r=0;r<ratio[d];r++){ // ratio*nvec terms
+
+	    auto rcoor = lcoor;	    rcoor[d]  += r*ldims[d];
+
+	    int rsite; Lexicographic::IndexFromCoor(rcoor, rsite, rdims);	  
+	    rsite += v * rsites;
+
+	    int rmul=nvec*lsites;
+	    int vmul=     lsites;
+	    alldata[rsite] = tmpdata[lsite+r*rmul+v*vmul];
+
+	  }
+	}
+      }
+      ldims[d]*= ratio[d];
+      lsites  *= ratio[d];
+
+      if ( split_grid->_processors[d] > 1 ) {
+	tmpdata = alldata;
+	split_grid->AllToAll(d,tmpdata,alldata);
+      }
+    }
+  }
+
+  vectorizeFromLexOrdArray(alldata,split);    
+}
+
+template<class Vobj>
+void Grid_split(Lattice<Vobj> &full,Lattice<Vobj>   & split)
+{
+  int nvector = full._grid->_Nprocessors / split._grid->_Nprocessors;
+  std::vector<Lattice<Vobj> > full_v(nvector,full._grid);
+  for(int n=0;n<nvector;n++){
+    full_v[n] = full;
+  }
+  Grid_split(full_v,split);
+}
+
+template<class Vobj>
+void Grid_unsplit(std::vector<Lattice<Vobj> > & full,Lattice<Vobj>   & split)
+{
+  typedef typename Vobj::scalar_object Sobj;
+
+  int full_vecs   = full.size();
+
+  assert(full_vecs>=1);
+
+  GridBase * full_grid = full[0]._grid;
+  GridBase *split_grid = split._grid;
+
+  int       ndim  = full_grid->_ndimension;
+  int  full_nproc = full_grid->_Nprocessors;
+  int split_nproc =split_grid->_Nprocessors;
+
+  ////////////////////////////////
+  // Checkerboard management
+  ////////////////////////////////
+  int cb = full[0].checkerboard;
+  split.checkerboard = cb;
+
+  //////////////////////////////
+  // Checks
+  //////////////////////////////
+  assert(full_grid->_ndimension==split_grid->_ndimension);
+  for(int n=0;n<full_vecs;n++){
+    assert(full[n].checkerboard == cb);
+    for(int d=0;d<ndim;d++){
+      assert(full[n]._grid->_gdimensions[d]==split._grid->_gdimensions[d]);
+      assert(full[n]._grid->_fdimensions[d]==split._grid->_fdimensions[d]);
+    }
+  }
+
+  int   nvector   =full_nproc/split_nproc; 
+  assert(nvector*split_nproc==full_nproc);
+  assert(nvector == full_vecs);
+
+  std::vector<int> ratio(ndim);
+  for(int d=0;d<ndim;d++){
+    ratio[d] = full_grid->_processors[d]/ split_grid->_processors[d];
+  }
+
+  int lsites = full_grid->lSites();
+  Integer sz = lsites * nvector;
+  std::vector<Sobj> tmpdata(sz);
+  std::vector<Sobj> alldata(sz);
+  std::vector<Sobj> scalardata(lsites); 
+
+  unvectorizeToLexOrdArray(alldata,split);    
+
+  /////////////////////////////////////////////////////////////////
+  // Start from split grid and work towards full grid
+  /////////////////////////////////////////////////////////////////
+  std::vector<int> lcoor(ndim);
+  std::vector<int> rcoor(ndim);
+
+  int nvec = 1;
+  lsites = split_grid->lSites();
+  std::vector<int> ldims = split_grid->_ldimensions;
+
+  for(int d=ndim-1;d>=0;d--){
+
+    if ( ratio[d] != 1 ) {
+
+      if ( split_grid->_processors[d] > 1 ) {
+	tmpdata = alldata;
+	split_grid->AllToAll(d,tmpdata,alldata);
+      }
+
+      //////////////////////////////////////////
+      //Local volume for this dimension is expanded by ratio of processor extents
+      // Number of vectors is decreased by same factor
+      // Rearrange to lexico for bigger volume
+      //////////////////////////////////////////
+      auto rsites= lsites/ratio[d];
+      auto rdims = ldims; rdims[d]/=ratio[d];
+
+      for(int v=0;v<nvec;v++){
+
+	// rsite, rcoor --> smaller local volume
+	// lsite, lcoor --> bigger original (single node?) volume
+	// For loop over each site within smaller subvol
+	for(int rsite=0;rsite<rsites;rsite++){
+
+	  Lexicographic::CoorFromIndex(rcoor, rsite, rdims);	  
+	  int lsite;
+
+	  for(int r=0;r<ratio[d];r++){ 
+
+	    lcoor = rcoor; lcoor[d] += r*rdims[d];
+	    Lexicographic::IndexFromCoor(lcoor, lsite, ldims); lsite += v * lsites;
+
+	    int rmul=nvec*rsites;
+	    int vmul=     rsites;
+	    tmpdata[rsite+r*rmul+v*vmul]=alldata[lsite];
+
+	  }
+	}
+      }
+      nvec   *= ratio[d];
+      ldims[d]=rdims[d];
+      lsites  =rsites;
+
+      full_grid ->AllToAll(d,tmpdata,alldata);
+    }
+  }
+
+  lsites = full_grid->lSites();
+  for(int v=0;v<nvector;v++){
+    parallel_for(int site=0;site<lsites;site++){
+      scalardata[site] = alldata[v*lsites+site];
+    }
+    assert(v<full.size());
+
+    vectorizeFromLexOrdArray(scalardata,full[v]);    
+
+  }
+}
+
+ 
 }
 #endif

lib/parallelIO/IldgIO.h

@@ -84,10 +84,6 @@ namespace QCD {
    stream << "GRID_";
    stream << ScidacWordMnemonic<stype>();
 
-   //   std::cout << " Lorentz N/S/V/M : " << _LorentzN<<" "<<_LorentzScalar<<"/"<<_LorentzVector<<"/"<<_LorentzMatrix<<std::endl;
-   //   std::cout << " Spin    N/S/V/M : " << _SpinN   <<" "<<_SpinScalar   <<"/"<<_SpinVector   <<"/"<<_SpinMatrix<<std::endl;
-   //   std::cout << " Colour  N/S/V/M : " << _ColourN <<" "<<_ColourScalar <<"/"<<_ColourVector <<"/"<<_ColourMatrix<<std::endl;
-
    if ( _LorentzVector )   stream << "_LorentzVector"<<_LorentzN;
    if ( _LorentzMatrix )   stream << "_LorentzMatrix"<<_LorentzN;
 
@@ -182,7 +178,7 @@ class GridLimeReader : public BinaryIO {
    /////////////////////////////////////////////
    // Open the file
    /////////////////////////////////////////////
-   void open(std::string &_filename) 
+   void open(const std::string &_filename) 
    {
      filename= _filename;
      File = fopen(filename.c_str(), "r");
@@ -210,19 +206,33 @@ class GridLimeReader : public BinaryIO {
 
     while ( limeReaderNextRecord(LimeR) == LIME_SUCCESS ) { 
 
-      std::cout << GridLogMessage << limeReaderType(LimeR) <<std::endl;
+      uint64_t file_bytes =limeReaderBytes(LimeR);
 
-      if ( strncmp(limeReaderType(LimeR), record_name.c_str(),strlen(record_name.c_str()) )  ) {
+      //      std::cout << GridLogMessage << limeReaderType(LimeR) << " "<< file_bytes <<" bytes "<<std::endl;
+      //      std::cout << GridLogMessage<< " readLimeObject seeking "<<  record_name <<" found record :" <<limeReaderType(LimeR) <<std::endl;
 
+      if ( !strncmp(limeReaderType(LimeR), record_name.c_str(),strlen(record_name.c_str()) )  ) {
+
+	//	std::cout << GridLogMessage<< " readLimeLatticeBinaryObject matches ! " <<std::endl;
+
+	uint64_t PayloadSize = sizeof(sobj) * field._grid->_gsites;
+
+	//	std::cout << "R sizeof(sobj)= " <<sizeof(sobj)<<std::endl;
+	//	std::cout << "R Gsites " <<field._grid->_gsites<<std::endl;
+	//	std::cout << "R Payload expected " <<PayloadSize<<std::endl;
+	//	std::cout << "R file size " <<file_bytes <<std::endl;
+
+	assert(PayloadSize == file_bytes);// Must match or user error
 
 	off_t offset= ftell(File);
+	//	std::cout << " ReadLatticeObject from offset "<<offset << std::endl;
 	BinarySimpleMunger<sobj,sobj> munge;
-	BinaryIO::readLatticeObject< sobj, sobj >(field, filename, munge, offset, format,nersc_csum,scidac_csuma,scidac_csumb);
+	BinaryIO::readLatticeObject< vobj, sobj >(field, filename, munge, offset, format,nersc_csum,scidac_csuma,scidac_csumb);
 
 	/////////////////////////////////////////////
 	// Insist checksum is next record
 	/////////////////////////////////////////////
-	readLimeObject(scidacChecksum_,std::string("scidacChecksum"),record_name);
+	readLimeObject(scidacChecksum_,std::string("scidacChecksum"),std::string(SCIDAC_CHECKSUM));
 
 	/////////////////////////////////////////////
 	// Verify checksums
@@ -242,11 +252,19 @@ class GridLimeReader : public BinaryIO {
     // should this be a do while; can we miss a first record??
     while ( limeReaderNextRecord(LimeR) == LIME_SUCCESS ) { 
 
+      //      std::cout << GridLogMessage<< " readLimeObject seeking "<< record_name <<" found record :" <<limeReaderType(LimeR) <<std::endl;
+
       uint64_t nbytes = limeReaderBytes(LimeR);//size of this record (configuration)
 
-      if ( strncmp(limeReaderType(LimeR), record_name.c_str(),strlen(record_name.c_str()) )  ) {
+      if ( !strncmp(limeReaderType(LimeR), record_name.c_str(),strlen(record_name.c_str()) )  ) {
+
+	//	std::cout << GridLogMessage<< " readLimeObject matches ! " << record_name <<std::endl;
+
 	std::vector<char> xmlc(nbytes+1,'\0');
 	limeReaderReadData((void *)&xmlc[0], &nbytes, LimeR);    
+
+	//	std::cout << GridLogMessage<< " readLimeObject matches XML " << &xmlc[0] <<std::endl;
+
 	XmlReader RD(&xmlc[0],"");
 	read(RD,object_name,object);
 	return;
@@ -261,13 +279,14 @@ class GridLimeWriter : public BinaryIO {
  public:
    ///////////////////////////////////////////////////
    // FIXME: format for RNG? Now just binary out instead
+   // FIXME: collective calls or not ?
+   //      : must know if I am the I/O boss
    ///////////////////////////////////////////////////
-
    FILE       *File;
    LimeWriter *LimeW;
    std::string filename;
 
-   void open(std::string &_filename) { 
+   void open(const std::string &_filename) { 
      filename= _filename;
      File = fopen(filename.c_str(), "w");
      LimeW = limeCreateWriter(File); assert(LimeW != NULL );
@@ -302,14 +321,18 @@ class GridLimeWriter : public BinaryIO {
       write(WR,object_name,object);
       xmlstring = WR.XmlString();
     }
+    //    std::cout << "WriteLimeObject" << record_name <<std::endl;
     uint64_t nbytes = xmlstring.size();
+    //    std::cout << " xmlstring "<< nbytes<< " " << xmlstring <<std::endl;
     int err;
-    LimeRecordHeader *h = limeCreateHeader(MB, ME,(char *)record_name.c_str(), nbytes); assert(h!= NULL);
+    LimeRecordHeader *h = limeCreateHeader(MB, ME,const_cast<char *>(record_name.c_str()), nbytes); 
+    assert(h!= NULL);
 
     err=limeWriteRecordHeader(h, LimeW);                    assert(err>=0);
     err=limeWriteRecordData(&xmlstring[0], &nbytes, LimeW); assert(err>=0);
     err=limeWriterCloseRecord(LimeW);                       assert(err>=0);
     limeDestroyHeader(h);
+    //    std::cout << " File offset is now"<<ftell(File) << std::endl;
   }
   ////////////////////////////////////////////
   // Write a generic lattice field and csum
@@ -326,6 +349,11 @@ class GridLimeWriter : public BinaryIO {
     uint64_t PayloadSize = sizeof(sobj) * field._grid->_gsites;
     createLimeRecordHeader(record_name, 0, 0, PayloadSize);
 
+
+    //    std::cout << "W sizeof(sobj)"      <<sizeof(sobj)<<std::endl;
+    //    std::cout << "W Gsites "           <<field._grid->_gsites<<std::endl;
+    //    std::cout << "W Payload expected " <<PayloadSize<<std::endl;
+
     ////////////////////////////////////////////////////////////////////
     // NB: FILE and iostream are jointly writing disjoint sequences in the
     // the same file through different file handles (integer units).
@@ -340,6 +368,7 @@ class GridLimeWriter : public BinaryIO {
     //  v) Continue writing scidac record.
     ////////////////////////////////////////////////////////////////////
     off_t offset = ftell(File);
+    //    std::cout << " Writing to offset "<<offset << std::endl;
     std::string format = getFormatString<vobj>();
     BinarySimpleMunger<sobj,sobj> munge;
     BinaryIO::writeLatticeObject<vobj,sobj>(field, filename, munge, offset, format,nersc_csum,scidac_csuma,scidac_csumb);
@@ -374,8 +403,6 @@ class ScidacWriter : public GridLimeWriter {
   template <class vobj, class userRecord>
   void writeScidacFieldRecord(Lattice<vobj> &field,userRecord _userRecord) 
   {
-    typedef typename vobj::scalar_object sobj;
-    uint64_t nbytes;
     GridBase * grid = field._grid;
 
     ////////////////////////////////////////
@@ -397,6 +424,66 @@ class ScidacWriter : public GridLimeWriter {
   }
 };
 
+
+class ScidacReader : public GridLimeReader {
+ public:
+
+   template<class SerialisableUserFile>
+   void readScidacFileRecord(GridBase *grid,SerialisableUserFile &_userFile)
+   {
+     scidacFile    _scidacFile(grid);
+     readLimeObject(_scidacFile,_scidacFile.SerialisableClassName(),std::string(SCIDAC_PRIVATE_FILE_XML));
+     readLimeObject(_userFile,_userFile.SerialisableClassName(),std::string(SCIDAC_FILE_XML));
+   }
+  ////////////////////////////////////////////////
+  // Write generic lattice field in scidac format
+  ////////////////////////////////////////////////
+  template <class vobj, class userRecord>
+  void readScidacFieldRecord(Lattice<vobj> &field,userRecord &_userRecord) 
+  {
+    typedef typename vobj::scalar_object sobj;
+    GridBase * grid = field._grid;
+
+    ////////////////////////////////////////
+    // fill the Grid header
+    ////////////////////////////////////////
+    FieldMetaData header;
+    scidacRecord  _scidacRecord;
+    scidacFile    _scidacFile;
+
+    //////////////////////////////////////////////
+    // Fill the Lime file record by record
+    //////////////////////////////////////////////
+    readLimeObject(header ,std::string("FieldMetaData"),std::string(GRID_FORMAT)); // Open message 
+    readLimeObject(_userRecord,_userRecord.SerialisableClassName(),std::string(SCIDAC_RECORD_XML));
+    readLimeObject(_scidacRecord,_scidacRecord.SerialisableClassName(),std::string(SCIDAC_PRIVATE_RECORD_XML));
+    readLimeLatticeBinaryObject(field,std::string(ILDG_BINARY_DATA));
+  }
+  void skipPastBinaryRecord(void) {
+    std::string rec_name(ILDG_BINARY_DATA);
+    while ( limeReaderNextRecord(LimeR) == LIME_SUCCESS ) { 
+      if ( !strncmp(limeReaderType(LimeR), rec_name.c_str(),strlen(rec_name.c_str()) )  ) {
+	skipPastObjectRecord(std::string(SCIDAC_CHECKSUM));
+	return;
+      }
+    }    
+  }
+  void skipPastObjectRecord(std::string rec_name) {
+    while ( limeReaderNextRecord(LimeR) == LIME_SUCCESS ) { 
+      if ( !strncmp(limeReaderType(LimeR), rec_name.c_str(),strlen(rec_name.c_str()) )  ) {
+	return;
+      }
+    }
+  }
+  void skipScidacFieldRecord() {
+    skipPastObjectRecord(std::string(GRID_FORMAT));
+    skipPastObjectRecord(std::string(SCIDAC_RECORD_XML));
+    skipPastObjectRecord(std::string(SCIDAC_PRIVATE_RECORD_XML));
+    skipPastBinaryRecord();
+  }
+};
+
+
 class IldgWriter : public ScidacWriter {
  public:
 
@@ -425,8 +512,6 @@ class IldgWriter : public ScidacWriter {
     typedef iLorentzColourMatrix<vsimd> vobj;
     typedef typename vobj::scalar_object sobj;
 
-    uint64_t nbytes;
-
     ////////////////////////////////////////
     // fill the Grid header
     ////////////////////////////////////////

lib/parallelIO/IldgIOtypes.h

@@ -64,6 +64,11 @@ namespace Grid {
 // file compatability, so should be correct to assume the undocumented but defacto file structure.
 /////////////////////////////////////////////////////////////////////////////////
 
+struct emptyUserRecord : Serializable { 
+  GRID_SERIALIZABLE_CLASS_MEMBERS(emptyUserRecord,int,dummy);
+  emptyUserRecord() { dummy=0; };
+};
+
 ////////////////////////
 // Scidac private file xml
 // <?xml version="1.0" encoding="UTF-8"?><scidacFile><version>1.1</version><spacetime>4</spacetime><dims>16 16 16 32 </dims><volfmt>0</volfmt></scidacFile>

lib/parallelIO/MetaData.h

@@ -85,6 +85,9 @@ namespace Grid {
 	nd=4;
 	dimension.resize(4);
 	boundary.resize(4);
+	scidac_checksuma=0;
+	scidac_checksumb=0;
+	checksum=0;
       }
     };
 
@@ -104,6 +107,7 @@ namespace Grid {
       header.nd = nd;
       header.dimension.resize(nd);
       header.boundary.resize(nd);
+      header.data_start = 0;
       for(int d=0;d<nd;d++) {
 	header.dimension[d] = grid->_fdimensions[d];
       }

lib/qcd/action/fermion/AbstractEOFAFermion.h

@@ -0,0 +1,100 @@
+/*************************************************************************************
+
+Grid physics library, www.github.com/paboyle/Grid
+
+Source file: ./lib/qcd/action/fermion/AbstractEOFAFermion.h
+
+Copyright (C) 2017
+
+Author: Peter Boyle <pabobyle@ph.ed.ac.uk>
+Author: Peter Boyle <paboyle@ph.ed.ac.uk>
+Author: David Murphy <dmurphy@phys.columbia.edu>
+
+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 */
+#ifndef  GRID_QCD_ABSTRACT_EOFA_FERMION_H
+#define  GRID_QCD_ABSTRACT_EOFA_FERMION_H
+
+#include <Grid/qcd/action/fermion/CayleyFermion5D.h>
+
+namespace Grid {
+namespace QCD {
+
+  // DJM: Abstract base class for EOFA fermion types.
+  // Defines layout of additional EOFA-specific parameters and operators.
+  // Use to construct EOFA pseudofermion actions that are agnostic to
+  // Shamir / Mobius / etc., and ensure that no one can construct EOFA
+  // pseudofermion action with non-EOFA fermion type.
+  template<class Impl>
+  class AbstractEOFAFermion : public CayleyFermion5D<Impl> {
+    public:
+      INHERIT_IMPL_TYPES(Impl);
+
+    public:
+      // Fermion operator: D(mq1) + shift*\gamma_{5}*R_{5}*\Delta_{\pm}(mq2,mq3)*P_{\pm}
+      RealD mq1;
+      RealD mq2;
+      RealD mq3;
+      RealD shift;
+      int pm;
+
+      RealD alpha; // Mobius scale
+      RealD k;     // EOFA normalization constant
+
+      virtual void Instantiatable(void) = 0;
+
+      // EOFA-specific operations
+      // Force user to implement in derived classes
+      virtual void  Omega    (const FermionField& in, FermionField& out, int sign, int dag) = 0;
+      virtual void  Dtilde   (const FermionField& in, FermionField& out) = 0;
+      virtual void  DtildeInv(const FermionField& in, FermionField& out) = 0;
+
+      // Implement derivatives in base class:
+      // for EOFA both DWF and Mobius just need d(Dw)/dU
+      virtual void MDeriv(GaugeField& mat, const FermionField& U, const FermionField& V, int dag){
+        this->DhopDeriv(mat, U, V, dag);
+      };
+      virtual void MoeDeriv(GaugeField& mat, const FermionField& U, const FermionField& V, int dag){
+        this->DhopDerivOE(mat, U, V, dag);
+      };
+      virtual void MeoDeriv(GaugeField& mat, const FermionField& U, const FermionField& V, int dag){
+        this->DhopDerivEO(mat, U, V, dag);
+      };
+
+      // Recompute 5D coefficients for different value of shift constant
+      // (needed for heatbath loop over poles)
+      virtual void RefreshShiftCoefficients(RealD new_shift) = 0;
+
+      // Constructors
+      AbstractEOFAFermion(GaugeField& _Umu, GridCartesian& FiveDimGrid, GridRedBlackCartesian& FiveDimRedBlackGrid,
+        GridCartesian& FourDimGrid, GridRedBlackCartesian& FourDimRedBlackGrid,
+        RealD _mq1, RealD _mq2, RealD _mq3, RealD _shift, int _pm,
+        RealD _M5, RealD _b, RealD _c, const ImplParams& p=ImplParams())
+        : CayleyFermion5D<Impl>(_Umu, FiveDimGrid, FiveDimRedBlackGrid, FourDimGrid, FourDimRedBlackGrid,
+          _mq1, _M5, p), mq1(_mq1), mq2(_mq2), mq3(_mq3), shift(_shift), pm(_pm)
+      {
+        int Ls = this->Ls;
+        this->alpha = _b + _c;
+        this->k = this->alpha * (_mq3-_mq2) * std::pow(this->alpha+1.0,2*Ls) /
+                    ( std::pow(this->alpha+1.0,Ls) + _mq2*std::pow(this->alpha-1.0,Ls) ) /
+                    ( std::pow(this->alpha+1.0,Ls) + _mq3*std::pow(this->alpha-1.0,Ls) );
+      };
+  };
+}}
+
+#endif

lib/qcd/action/fermion/CayleyFermion5D.cc

@@ -77,7 +77,6 @@ void CayleyFermion5D<Impl>::DminusDag(const FermionField &psi, FermionField &chi
   }
 }
 
-
 template<class Impl> void CayleyFermion5D<Impl>::CayleyReport(void)
 {
   this->Report();
@@ -119,7 +118,6 @@ template<class Impl> void CayleyFermion5D<Impl>::CayleyZeroCounters(void)
   MooeeInvTime=0;
 }
 
-
 template<class Impl>  
 void CayleyFermion5D<Impl>::M5D   (const FermionField &psi, FermionField &chi)
 {

lib/qcd/action/fermion/CayleyFermion5D.h

@@ -179,9 +179,9 @@ namespace Grid {
      double MooeeInvTime;
 
     protected:
-      void SetCoefficientsZolotarev(RealD zolohi,Approx::zolotarev_data *zdata,RealD b,RealD c);
-      void SetCoefficientsTanh(Approx::zolotarev_data *zdata,RealD b,RealD c);
-      void SetCoefficientsInternal(RealD zolo_hi,std::vector<Coeff_t> & gamma,RealD b,RealD c);
+      virtual void SetCoefficientsZolotarev(RealD zolohi,Approx::zolotarev_data *zdata,RealD b,RealD c);
+      virtual void SetCoefficientsTanh(Approx::zolotarev_data *zdata,RealD b,RealD c);
+      virtual void SetCoefficientsInternal(RealD zolo_hi,std::vector<Coeff_t> & gamma,RealD b,RealD c);
     };
 
   }

lib/qcd/action/fermion/DomainWallEOFAFermion.cc

@@ -0,0 +1,438 @@
+/*************************************************************************************
+
+Grid physics library, www.github.com/paboyle/Grid
+
+Source file: ./lib/qcd/action/fermion/DomainWallEOFAFermion.cc
+
+Copyright (C) 2017
+
+Author: Peter Boyle <pabobyle@ph.ed.ac.uk>
+Author: Peter Boyle <paboyle@ph.ed.ac.uk>
+Author: Peter Boyle <peterboyle@Peters-MacBook-Pro-2.local>
+Author: paboyle <paboyle@ph.ed.ac.uk>
+Author: David Murphy <dmurphy@phys.columbia.edu>
+
+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_Eigen_Dense.h>
+#include <Grid/qcd/action/fermion/FermionCore.h>
+#include <Grid/qcd/action/fermion/DomainWallEOFAFermion.h>
+
+namespace Grid {
+namespace QCD {
+
+    template<class Impl>
+    DomainWallEOFAFermion<Impl>::DomainWallEOFAFermion(
+      GaugeField            &_Umu,
+      GridCartesian         &FiveDimGrid,
+      GridRedBlackCartesian &FiveDimRedBlackGrid,
+      GridCartesian         &FourDimGrid,
+      GridRedBlackCartesian &FourDimRedBlackGrid,
+      RealD _mq1, RealD _mq2, RealD _mq3,
+      RealD _shift, int _pm, RealD _M5, const ImplParams &p) :
+    AbstractEOFAFermion<Impl>(_Umu, FiveDimGrid, FiveDimRedBlackGrid,
+        FourDimGrid, FourDimRedBlackGrid, _mq1, _mq2, _mq3,
+        _shift, _pm, _M5, 1.0, 0.0, p)
+    {
+        RealD eps = 1.0;
+        Approx::zolotarev_data *zdata = Approx::higham(eps,this->Ls);
+        assert(zdata->n == this->Ls);
+
+        std::cout << GridLogMessage << "DomainWallEOFAFermion with Ls=" << this->Ls << std::endl;
+        this->SetCoefficientsTanh(zdata, 1.0, 0.0);
+
+        Approx::zolotarev_free(zdata);
+    }
+
+    /***************************************************************
+     * Additional EOFA operators only called outside the inverter.
+     * Since speed is not essential, simple axpby-style
+     * implementations should be fine.
+     ***************************************************************/
+    template<class Impl>
+    void DomainWallEOFAFermion<Impl>::Omega(const FermionField& psi, FermionField& Din, int sign, int dag)
+    {
+        int Ls = this->Ls;
+
+        Din = zero;
+        if((sign == 1) && (dag == 0)){ axpby_ssp(Din, 0.0, psi, 1.0, psi, Ls-1, 0); }
+        else if((sign == -1) && (dag == 0)){ axpby_ssp(Din, 0.0, psi, 1.0, psi, 0, 0); }
+        else if((sign == 1 ) && (dag == 1)){ axpby_ssp(Din, 0.0, psi, 1.0, psi, 0, Ls-1); }
+        else if((sign == -1) && (dag == 1)){ axpby_ssp(Din, 0.0, psi, 1.0, psi, 0, 0); }
+    }
+
+    // This is just the identity for DWF
+    template<class Impl>
+    void DomainWallEOFAFermion<Impl>::Dtilde(const FermionField& psi, FermionField& chi){ chi = psi; }
+
+    // This is just the identity for DWF
+    template<class Impl>
+    void DomainWallEOFAFermion<Impl>::DtildeInv(const FermionField& psi, FermionField& chi){ chi = psi; }
+
+    /*****************************************************************************************************/
+
+    template<class Impl>
+    RealD DomainWallEOFAFermion<Impl>::M(const FermionField& psi, FermionField& chi)
+    {
+        int Ls = this->Ls;
+
+        FermionField Din(psi._grid);
+
+        this->Meooe5D(psi, Din);
+        this->DW(Din, chi, DaggerNo);
+        axpby(chi, 1.0, 1.0, chi, psi);
+        this->M5D(psi, chi);
+        return(norm2(chi));
+    }
+
+    template<class Impl>
+    RealD DomainWallEOFAFermion<Impl>::Mdag(const FermionField& psi, FermionField& chi)
+    {
+        int Ls = this->Ls;
+
+        FermionField Din(psi._grid);
+
+        this->DW(psi, Din, DaggerYes);
+        this->MeooeDag5D(Din, chi);
+        this->M5Ddag(psi, chi);
+        axpby(chi, 1.0, 1.0, chi, psi);
+        return(norm2(chi));
+    }
+
+    /********************************************************************
+     * Performance critical fermion operators called inside the inverter
+     ********************************************************************/
+
+    template<class Impl>
+    void DomainWallEOFAFermion<Impl>::M5D(const FermionField& psi, FermionField& chi)
+    {
+        int   Ls    = this->Ls;
+        int   pm    = this->pm;
+        RealD shift = this->shift;
+        RealD mq1   = this->mq1;
+        RealD mq2   = this->mq2;
+        RealD mq3   = this->mq3;
+
+        // coefficients for shift operator ( = shift*\gamma_{5}*R_{5}*\Delta_{\pm}(mq2,mq3)*P_{\pm} )
+        Coeff_t shiftp(0.0), shiftm(0.0);
+        if(shift != 0.0){
+          if(pm == 1){ shiftp = shift*(mq3-mq2); }
+          else{ shiftm = -shift*(mq3-mq2); }
+        }
+
+        std::vector<Coeff_t> diag(Ls,1.0);
+        std::vector<Coeff_t> upper(Ls,-1.0); upper[Ls-1] = mq1 + shiftm;
+        std::vector<Coeff_t> lower(Ls,-1.0); lower[0]    = mq1 + shiftp;
+
+        #if(0)
+            std::cout << GridLogMessage << "DomainWallEOFAFermion::M5D(FF&,FF&):" << std::endl;
+            for(int i=0; i<diag.size(); ++i){
+                std::cout << GridLogMessage << "diag[" << i << "] =" << diag[i] << std::endl;
+            }
+            for(int i=0; i<upper.size(); ++i){
+                std::cout << GridLogMessage << "upper[" << i << "] =" << upper[i] << std::endl;
+            }
+            for(int i=0; i<lower.size(); ++i){
+                std::cout << GridLogMessage << "lower[" << i << "] =" << lower[i] << std::endl;
+            }
+        #endif
+
+        this->M5D(psi, chi, chi, lower, diag, upper);
+    }
+
+    template<class Impl>
+    void DomainWallEOFAFermion<Impl>::M5Ddag(const FermionField& psi, FermionField& chi)
+    {
+        int   Ls    = this->Ls;
+        int   pm    = this->pm;
+        RealD shift = this->shift;
+        RealD mq1   = this->mq1;
+        RealD mq2   = this->mq2;
+        RealD mq3   = this->mq3;
+
+        // coefficients for shift operator ( = shift*\gamma_{5}*R_{5}*\Delta_{\pm}(mq2,mq3)*P_{\pm} )
+        Coeff_t shiftp(0.0), shiftm(0.0);
+        if(shift != 0.0){
+          if(pm == 1){ shiftp = shift*(mq3-mq2); }
+          else{ shiftm = -shift*(mq3-mq2); }
+        }
+
+        std::vector<Coeff_t> diag(Ls,1.0);
+        std::vector<Coeff_t> upper(Ls,-1.0); upper[Ls-1] = mq1 + shiftp;
+        std::vector<Coeff_t> lower(Ls,-1.0); lower[0]    = mq1 + shiftm;
+
+        #if(0)
+            std::cout << GridLogMessage << "DomainWallEOFAFermion::M5Ddag(FF&,FF&):" << std::endl;
+            for(int i=0; i<diag.size(); ++i){
+                std::cout << GridLogMessage << "diag[" << i << "] =" << diag[i] << std::endl;
+            }
+            for(int i=0; i<upper.size(); ++i){
+                std::cout << GridLogMessage << "upper[" << i << "] =" << upper[i] << std::endl;
+            }
+            for(int i=0; i<lower.size(); ++i){
+                std::cout << GridLogMessage << "lower[" << i << "] =" << lower[i] << std::endl;
+            }
+        #endif
+
+        this->M5Ddag(psi, chi, chi, lower, diag, upper);
+    }
+
+    // half checkerboard operations
+    template<class Impl>
+    void DomainWallEOFAFermion<Impl>::Mooee(const FermionField& psi, FermionField& chi)
+    {
+        int Ls = this->Ls;
+
+        std::vector<Coeff_t> diag = this->bee;
+        std::vector<Coeff_t> upper(Ls);
+        std::vector<Coeff_t> lower(Ls);
+
+        for(int s=0; s<Ls; s++){
+          upper[s] = -this->cee[s];
+          lower[s] = -this->cee[s];
+        }
+        upper[Ls-1] = this->dm;
+        lower[0]    = this->dp;
+
+        this->M5D(psi, psi, chi, lower, diag, upper);
+    }
+
+    template<class Impl>
+    void DomainWallEOFAFermion<Impl>::MooeeDag(const FermionField& psi, FermionField& chi)
+    {
+        int Ls = this->Ls;
+
+        std::vector<Coeff_t> diag = this->bee;
+        std::vector<Coeff_t> upper(Ls);
+        std::vector<Coeff_t> lower(Ls);
+
+        for(int s=0; s<Ls; s++){
+          upper[s] = -this->cee[s];
+          lower[s] = -this->cee[s];
+        }
+        upper[Ls-1] = this->dp;
+        lower[0]    = this->dm;
+
+        this->M5Ddag(psi, psi, chi, lower, diag, upper);
+    }
+
+    /****************************************************************************************/
+
+    //Zolo
+    template<class Impl>
+    void DomainWallEOFAFermion<Impl>::SetCoefficientsInternal(RealD zolo_hi, std::vector<Coeff_t>& gamma, RealD b, RealD c)
+    {
+        int   Ls    = this->Ls;
+        int   pm    = this->pm;
+        RealD mq1   = this->mq1;
+        RealD mq2   = this->mq2;
+        RealD mq3   = this->mq3;
+        RealD shift = this->shift;
+
+        ////////////////////////////////////////////////////////
+        // Constants for the preconditioned matrix Cayley form
+        ////////////////////////////////////////////////////////
+        this->bs.resize(Ls);
+        this->cs.resize(Ls);
+        this->aee.resize(Ls);
+        this->aeo.resize(Ls);
+        this->bee.resize(Ls);
+        this->beo.resize(Ls);
+        this->cee.resize(Ls);
+        this->ceo.resize(Ls);
+
+        for(int i=0; i<Ls; ++i){
+          this->bee[i] = 4.0 - this->M5 + 1.0;
+          this->cee[i] = 1.0;
+        }
+
+        for(int i=0; i<Ls; ++i){
+          this->aee[i] = this->cee[i];
+          this->bs[i] = this->beo[i] = 1.0;
+          this->cs[i] = this->ceo[i] = 0.0;
+        }
+
+        //////////////////////////////////////////
+        // EOFA shift terms
+        //////////////////////////////////////////
+        if(pm == 1){
+          this->dp = mq1*this->cee[0] + shift*(mq3-mq2);
+          this->dm = mq1*this->cee[Ls-1];
+        } else if(this->pm == -1) {
+          this->dp = mq1*this->cee[0];
+          this->dm = mq1*this->cee[Ls-1] - shift*(mq3-mq2);
+        } else {
+          this->dp = mq1*this->cee[0];
+          this->dm = mq1*this->cee[Ls-1];
+        }
+
+        //////////////////////////////////////////
+        // LDU decomposition of eeoo
+        //////////////////////////////////////////
+        this->dee.resize(Ls+1);
+        this->lee.resize(Ls);
+        this->leem.resize(Ls);
+        this->uee.resize(Ls);
+        this->ueem.resize(Ls);
+
+        for(int i=0; i<Ls; ++i){
+
+          if(i < Ls-1){
+
+            this->lee[i] = -this->cee[i+1]/this->bee[i]; // sub-diag entry on the ith column
+
+            this->leem[i] = this->dm/this->bee[i];
+            for(int j=0; j<i; j++){ this->leem[i] *= this->aee[j]/this->bee[j]; }
+
+            this->dee[i] = this->bee[i];
+
+            this->uee[i] = -this->aee[i]/this->bee[i];   // up-diag entry on the ith row
+
+            this->ueem[i] = this->dp / this->bee[0];
+            for(int j=1; j<=i; j++){ this->ueem[i] *= this->cee[j]/this->bee[j]; }
+
+          } else {
+
+            this->lee[i]  = 0.0;
+            this->leem[i] = 0.0;
+            this->uee[i]  = 0.0;
+            this->ueem[i] = 0.0;
+
+          }
+        }
+
+        {
+          Coeff_t delta_d = 1.0 / this->bee[0];
+          for(int j=1; j<Ls-1; j++){ delta_d *= this->cee[j] / this->bee[j]; }
+          this->dee[Ls-1] = this->bee[Ls-1] + this->cee[0] * this->dm * delta_d;
+          this->dee[Ls] = this->bee[Ls-1] + this->cee[Ls-1] * this->dp * delta_d;
+        }
+
+        int inv = 1;
+        this->MooeeInternalCompute(0, inv, this->MatpInv, this->MatmInv);
+        this->MooeeInternalCompute(1, inv, this->MatpInvDag, this->MatmInvDag);
+    }
+
+    // Recompute Cayley-form coefficients for different shift
+    template<class Impl>
+    void DomainWallEOFAFermion<Impl>::RefreshShiftCoefficients(RealD new_shift)
+    {
+        this->shift = new_shift;
+        Approx::zolotarev_data *zdata = Approx::higham(1.0, this->Ls);
+        this->SetCoefficientsTanh(zdata, 1.0, 0.0);
+    }
+
+    template<class Impl>
+    void DomainWallEOFAFermion<Impl>::MooeeInternalCompute(int dag, int inv,
+        Vector<iSinglet<Simd> >& Matp, Vector<iSinglet<Simd> >& Matm)
+    {
+        int Ls = this->Ls;
+
+        GridBase* grid = this->FermionRedBlackGrid();
+        int LLs = grid->_rdimensions[0];
+
+        if(LLs == Ls){ return; } // Not vectorised in 5th direction
+
+        Eigen::MatrixXcd Pplus  = Eigen::MatrixXcd::Zero(Ls,Ls);
+        Eigen::MatrixXcd Pminus = Eigen::MatrixXcd::Zero(Ls,Ls);
+
+        for(int s=0; s<Ls; s++){
+            Pplus(s,s)  = this->bee[s];
+            Pminus(s,s) = this->bee[s];
+        }
+
+        for(int s=0; s<Ls-1; s++){
+            Pminus(s,s+1) = -this->cee[s];
+        }
+
+        for(int s=0; s<Ls-1; s++){
+            Pplus(s+1,s) = -this->cee[s+1];
+        }
+
+        Pplus (0,Ls-1) = this->dp;
+        Pminus(Ls-1,0) = this->dm;
+
+        Eigen::MatrixXcd PplusMat ;
+        Eigen::MatrixXcd PminusMat;
+
+        #if(0)
+            std::cout << GridLogMessage << "Pplus:" << std::endl;
+            for(int s=0; s<Ls; ++s){
+                for(int ss=0; ss<Ls; ++ss){
+                    std::cout << Pplus(s,ss) << "\t";
+                }
+                std::cout << std::endl;
+            }
+            std::cout << GridLogMessage << "Pminus:" << std::endl;
+            for(int s=0; s<Ls; ++s){
+                for(int ss=0; ss<Ls; ++ss){
+                    std::cout << Pminus(s,ss) << "\t";
+                }
+                std::cout << std::endl;
+            }
+        #endif
+
+        if(inv) {
+            PplusMat  = Pplus.inverse();
+            PminusMat = Pminus.inverse();
+        } else {
+            PplusMat  = Pplus;
+            PminusMat = Pminus;
+        }
+
+        if(dag){
+            PplusMat.adjointInPlace();
+            PminusMat.adjointInPlace();
+        }
+
+        typedef typename SiteHalfSpinor::scalar_type scalar_type;
+        const int Nsimd = Simd::Nsimd();
+        Matp.resize(Ls*LLs);
+        Matm.resize(Ls*LLs);
+
+        for(int s2=0; s2<Ls; s2++){
+        for(int s1=0; s1<LLs; s1++){
+            int istride = LLs;
+            int ostride = 1;
+            Simd Vp;
+            Simd Vm;
+            scalar_type *sp = (scalar_type*) &Vp;
+            scalar_type *sm = (scalar_type*) &Vm;
+            for(int l=0; l<Nsimd; l++){
+                if(switcheroo<Coeff_t>::iscomplex()) {
+                    sp[l] = PplusMat (l*istride+s1*ostride,s2);
+                    sm[l] = PminusMat(l*istride+s1*ostride,s2);
+                } else {
+                    // if real
+                    scalar_type tmp;
+                    tmp = PplusMat (l*istride+s1*ostride,s2);
+                    sp[l] = scalar_type(tmp.real(),tmp.real());
+                    tmp = PminusMat(l*istride+s1*ostride,s2);
+                    sm[l] = scalar_type(tmp.real(),tmp.real());
+                }
+            }
+            Matp[LLs*s2+s1] = Vp;
+            Matm[LLs*s2+s1] = Vm;
+        }}
+    }
+
+    FermOpTemplateInstantiate(DomainWallEOFAFermion);
+    GparityFermOpTemplateInstantiate(DomainWallEOFAFermion);
+
+}}

lib/qcd/action/fermion/DomainWallEOFAFermion.h

@@ -0,0 +1,115 @@
+/*************************************************************************************
+
+Grid physics library, www.github.com/paboyle/Grid
+
+Source file: ./lib/qcd/action/fermion/DomainWallEOFAFermion.h
+
+Copyright (C) 2017
+
+Author: Peter Boyle <pabobyle@ph.ed.ac.uk>
+Author: Peter Boyle <paboyle@ph.ed.ac.uk>
+Author: David Murphy <dmurphy@phys.columbia.edu>
+
+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 */
+#ifndef  GRID_QCD_DOMAIN_WALL_EOFA_FERMION_H
+#define  GRID_QCD_DOMAIN_WALL_EOFA_FERMION_H
+
+#include <Grid/qcd/action/fermion/AbstractEOFAFermion.h>
+
+namespace Grid {
+namespace QCD {
+
+  template<class Impl>
+  class DomainWallEOFAFermion : public AbstractEOFAFermion<Impl>
+  {
+    public:
+      INHERIT_IMPL_TYPES(Impl);
+
+    public:
+      // Modified (0,Ls-1) and (Ls-1,0) elements of Mooee
+      // for red-black preconditioned Shamir EOFA
+      Coeff_t dm;
+      Coeff_t dp;
+
+      virtual void Instantiatable(void) {};
+
+      // EOFA-specific operations
+      virtual void  Omega      (const FermionField& in, FermionField& out, int sign, int dag);
+      virtual void  Dtilde     (const FermionField& in, FermionField& out);
+      virtual void  DtildeInv  (const FermionField& in, FermionField& out);
+
+      // override multiply
+      virtual RealD M          (const FermionField& in, FermionField& out);
+      virtual RealD Mdag       (const FermionField& in, FermionField& out);
+
+      // half checkerboard operations
+      virtual void  Mooee      (const FermionField& in, FermionField& out);
+      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   M5D       (const FermionField& psi, FermionField& chi);
+      virtual void   M5Ddag    (const FermionField& psi, FermionField& chi);
+
+      /////////////////////////////////////////////////////
+      // Instantiate different versions depending on Impl
+      /////////////////////////////////////////////////////
+      void M5D(const FermionField& psi, const FermionField& phi, FermionField& chi,
+        std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper);
+
+      void M5Ddag(const FermionField& psi, const FermionField& phi, FermionField& chi,
+        std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper);
+
+      void MooeeInternal(const FermionField& in, FermionField& out, int dag, int inv);
+
+      void MooeeInternalCompute(int dag, int inv, Vector<iSinglet<Simd>>& Matp, Vector<iSinglet<Simd>>& Matm);
+
+      void MooeeInternalAsm(const FermionField& in, FermionField& out, int LLs, int site,
+        Vector<iSinglet<Simd>>& Matp, Vector<iSinglet<Simd>>& Matm);
+
+      void MooeeInternalZAsm(const FermionField& in, FermionField& out, int LLs, int site,
+        Vector<iSinglet<Simd>>& Matp, Vector<iSinglet<Simd>>& Matm);
+
+      virtual void RefreshShiftCoefficients(RealD new_shift);
+
+      // Constructors
+      DomainWallEOFAFermion(GaugeField& _Umu, GridCartesian& FiveDimGrid, GridRedBlackCartesian& FiveDimRedBlackGrid,
+        GridCartesian& FourDimGrid, GridRedBlackCartesian& FourDimRedBlackGrid,
+        RealD _mq1, RealD _mq2, RealD _mq3, RealD _shift, int pm,
+        RealD _M5, const ImplParams& p=ImplParams());
+
+    protected:
+      void SetCoefficientsInternal(RealD zolo_hi, std::vector<Coeff_t>& gamma, RealD b, RealD c);
+  };
+}}
+
+#define INSTANTIATE_DPERP_DWF_EOFA(A)\
+template void DomainWallEOFAFermion<A>::M5D(const FermionField& psi, const FermionField& phi, FermionField& chi, \
+  std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper); \
+template void DomainWallEOFAFermion<A>::M5Ddag(const FermionField& psi, const FermionField& phi, FermionField& chi, \
+  std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper); \
+template void DomainWallEOFAFermion<A>::MooeeInv(const FermionField& psi, FermionField& chi); \
+template void DomainWallEOFAFermion<A>::MooeeInvDag(const FermionField& psi, FermionField& chi);
+
+#undef  DOMAIN_WALL_EOFA_DPERP_DENSE
+#define DOMAIN_WALL_EOFA_DPERP_CACHE
+#undef  DOMAIN_WALL_EOFA_DPERP_LINALG
+#define DOMAIN_WALL_EOFA_DPERP_VEC
+
+#endif

lib/qcd/action/fermion/DomainWallEOFAFermioncache.cc

@@ -0,0 +1,248 @@
+/*************************************************************************************
+
+Grid physics library, www.github.com/paboyle/Grid
+
+Source file: ./lib/qcd/action/fermion/DomainWallEOFAFermioncache.cc
+
+Copyright (C) 2017
+
+Author: Peter Boyle <pabobyle@ph.ed.ac.uk>
+Author: Peter Boyle <paboyle@ph.ed.ac.uk>
+Author: Peter Boyle <peterboyle@Peters-MacBook-Pro-2.local>
+Author: paboyle <paboyle@ph.ed.ac.uk>
+Author: David Murphy <dmurphy@phys.columbia.edu>
+
+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/qcd/action/fermion/FermionCore.h>
+#include <Grid/qcd/action/fermion/DomainWallEOFAFermion.h>
+
+namespace Grid {
+namespace QCD {
+
+    // FIXME -- make a version of these routines with site loop outermost for cache reuse.
+
+    // Pminus fowards
+    // Pplus  backwards..
+    template<class Impl>
+    void DomainWallEOFAFermion<Impl>::M5D(const FermionField& psi, const FermionField& phi,
+        FermionField& chi, std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper)
+    {
+        int Ls = this->Ls;
+        GridBase* grid = psi._grid;
+
+        assert(phi.checkerboard == psi.checkerboard);
+        chi.checkerboard = psi.checkerboard;
+        // Flops = 6.0*(Nc*Ns) *Ls*vol
+        this->M5Dcalls++;
+        this->M5Dtime -= usecond();
+
+        parallel_for(int ss=0; ss<grid->oSites(); ss+=Ls){ // adds Ls
+            for(int s=0; s<Ls; s++){
+                auto tmp = psi._odata[0];
+                if(s==0) {
+                    spProj5m(tmp, psi._odata[ss+s+1]);
+                    chi[ss+s] = diag[s]*phi[ss+s] + upper[s]*tmp;
+                    spProj5p(tmp, psi._odata[ss+Ls-1]);
+                    chi[ss+s] = chi[ss+s] + lower[s]*tmp;
+                } else if(s==(Ls-1)) {
+                    spProj5m(tmp, psi._odata[ss+0]);
+                    chi[ss+s] = diag[s]*phi[ss+s] + upper[s]*tmp;
+                    spProj5p(tmp, psi._odata[ss+s-1]);
+                    chi[ss+s] = chi[ss+s] + lower[s]*tmp;
+                } else {
+                    spProj5m(tmp, psi._odata[ss+s+1]);
+                    chi[ss+s] = diag[s]*phi[ss+s] + upper[s]*tmp;
+                    spProj5p(tmp, psi._odata[ss+s-1]);
+                    chi[ss+s] = chi[ss+s] + lower[s]*tmp;
+                }
+            }
+        }
+
+        this->M5Dtime += usecond();
+    }
+
+    template<class Impl>
+    void DomainWallEOFAFermion<Impl>::M5Ddag(const FermionField& psi, const FermionField& phi,
+        FermionField& chi, std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper)
+    {
+        int Ls = this->Ls;
+        GridBase* grid = psi._grid;
+        assert(phi.checkerboard == psi.checkerboard);
+        chi.checkerboard=psi.checkerboard;
+
+        // Flops = 6.0*(Nc*Ns) *Ls*vol
+        this->M5Dcalls++;
+        this->M5Dtime -= usecond();
+
+        parallel_for(int ss=0; ss<grid->oSites(); ss+=Ls){ // adds Ls
+            auto tmp = psi._odata[0];
+            for(int s=0; s<Ls; s++){
+                if(s==0) {
+                    spProj5p(tmp, psi._odata[ss+s+1]);
+                    chi[ss+s] = diag[s]*phi[ss+s] + upper[s]*tmp;
+                    spProj5m(tmp, psi._odata[ss+Ls-1]);
+                    chi[ss+s] = chi[ss+s] + lower[s]*tmp;
+                } else if(s==(Ls-1)) {
+                    spProj5p(tmp, psi._odata[ss+0]);
+                    chi[ss+s] = diag[s]*phi[ss+s] + upper[s]*tmp;
+                    spProj5m(tmp, psi._odata[ss+s-1]);
+                    chi[ss+s] = chi[ss+s] + lower[s]*tmp;
+                } else {
+                    spProj5p(tmp, psi._odata[ss+s+1]);
+                    chi[ss+s] = diag[s]*phi[ss+s] + upper[s]*tmp;
+                    spProj5m(tmp, psi._odata[ss+s-1]);
+                    chi[ss+s] = chi[ss+s] + lower[s]*tmp;
+                }
+            }
+        }
+
+        this->M5Dtime += usecond();
+    }
+
+    template<class Impl>
+    void DomainWallEOFAFermion<Impl>::MooeeInv(const FermionField& psi, FermionField& chi)
+    {
+        GridBase* grid = psi._grid;
+        int Ls = this->Ls;
+
+        chi.checkerboard = psi.checkerboard;
+
+        this->MooeeInvCalls++;
+        this->MooeeInvTime -= usecond();
+
+        parallel_for(int ss=0; ss<grid->oSites(); ss+=Ls){ // adds Ls
+
+            auto tmp1 = psi._odata[0];
+            auto tmp2 = psi._odata[0];
+
+            // flops = 12*2*Ls + 12*2*Ls + 3*12*Ls + 12*2*Ls  = 12*Ls * (9) = 108*Ls flops
+            // Apply (L^{\prime})^{-1}
+            chi[ss] = psi[ss]; // chi[0]=psi[0]
+            for(int s=1; s<Ls; s++){
+                spProj5p(tmp1, chi[ss+s-1]);
+                chi[ss+s] = psi[ss+s] - this->lee[s-1]*tmp1;
+            }
+
+            // L_m^{-1}
+            for(int s=0; s<Ls-1; s++){ // Chi[ee] = 1 - sum[s<Ls-1] -leem[s]P_- chi
+                spProj5m(tmp1, chi[ss+s]);
+                chi[ss+Ls-1] = chi[ss+Ls-1] - this->leem[s]*tmp1;
+            }
+
+            // U_m^{-1} D^{-1}
+            for(int s=0; s<Ls-1; s++){ // Chi[s] + 1/d chi[s]
+                spProj5p(tmp1, chi[ss+Ls-1]);
+                chi[ss+s] = (1.0/this->dee[s])*chi[ss+s] - (this->ueem[s]/this->dee[Ls])*tmp1;
+            }
+            spProj5m(tmp2, chi[ss+Ls-1]);
+            chi[ss+Ls-1] = (1.0/this->dee[Ls])*tmp1 + (1.0/this->dee[Ls-1])*tmp2;
+
+            // Apply U^{-1}
+            for(int s=Ls-2; s>=0; s--){
+                spProj5m(tmp1, chi[ss+s+1]);
+                chi[ss+s] = chi[ss+s] - this->uee[s]*tmp1;
+            }
+        }
+
+        this->MooeeInvTime += usecond();
+    }
+
+    template<class Impl>
+    void DomainWallEOFAFermion<Impl>::MooeeInvDag(const FermionField& psi, FermionField& chi)
+    {
+        GridBase* grid = psi._grid;
+        int Ls = this->Ls;
+
+        assert(psi.checkerboard == psi.checkerboard);
+        chi.checkerboard = psi.checkerboard;
+
+        std::vector<Coeff_t> ueec(Ls);
+        std::vector<Coeff_t> deec(Ls+1);
+        std::vector<Coeff_t> leec(Ls);
+        std::vector<Coeff_t> ueemc(Ls);
+        std::vector<Coeff_t> leemc(Ls);
+
+        for(int s=0; s<ueec.size(); s++){
+            ueec[s]  = conjugate(this->uee[s]);
+            deec[s]  = conjugate(this->dee[s]);
+            leec[s]  = conjugate(this->lee[s]);
+            ueemc[s] = conjugate(this->ueem[s]);
+            leemc[s] = conjugate(this->leem[s]);
+        }
+        deec[Ls] = conjugate(this->dee[Ls]);
+
+        this->MooeeInvCalls++;
+        this->MooeeInvTime -= usecond();
+
+        parallel_for(int ss=0; ss<grid->oSites(); ss+=Ls){ // adds Ls
+
+            auto tmp1 = psi._odata[0];
+            auto tmp2 = psi._odata[0];
+
+            // Apply (U^{\prime})^{-dagger}
+            chi[ss] = psi[ss];
+            for(int s=1; s<Ls; s++){
+                spProj5m(tmp1, chi[ss+s-1]);
+                chi[ss+s] = psi[ss+s] - ueec[s-1]*tmp1;
+            }
+
+            // U_m^{-\dagger}
+            for(int s=0; s<Ls-1; s++){
+                spProj5p(tmp1, chi[ss+s]);
+                chi[ss+Ls-1] = chi[ss+Ls-1] - ueemc[s]*tmp1;
+            }
+
+            // L_m^{-\dagger} D^{-dagger}
+            for(int s=0; s<Ls-1; s++){
+                spProj5m(tmp1, chi[ss+Ls-1]);
+                chi[ss+s] = (1.0/deec[s])*chi[ss+s] - (leemc[s]/deec[Ls-1])*tmp1;
+            }
+            spProj5p(tmp2, chi[ss+Ls-1]);
+            chi[ss+Ls-1] = (1.0/deec[Ls-1])*tmp1 + (1.0/deec[Ls])*tmp2;
+
+            // Apply L^{-dagger}
+            for(int s=Ls-2; s>=0; s--){
+                spProj5p(tmp1, chi[ss+s+1]);
+                chi[ss+s] = chi[ss+s] - leec[s]*tmp1;
+            }
+        }
+
+        this->MooeeInvTime += usecond();
+    }
+
+    #ifdef DOMAIN_WALL_EOFA_DPERP_CACHE
+
+        INSTANTIATE_DPERP_DWF_EOFA(WilsonImplF);
+        INSTANTIATE_DPERP_DWF_EOFA(WilsonImplD);
+        INSTANTIATE_DPERP_DWF_EOFA(GparityWilsonImplF);
+        INSTANTIATE_DPERP_DWF_EOFA(GparityWilsonImplD);
+        INSTANTIATE_DPERP_DWF_EOFA(ZWilsonImplF);
+        INSTANTIATE_DPERP_DWF_EOFA(ZWilsonImplD);
+
+        INSTANTIATE_DPERP_DWF_EOFA(WilsonImplFH);
+        INSTANTIATE_DPERP_DWF_EOFA(WilsonImplDF);
+        INSTANTIATE_DPERP_DWF_EOFA(GparityWilsonImplFH);
+        INSTANTIATE_DPERP_DWF_EOFA(GparityWilsonImplDF);
+        INSTANTIATE_DPERP_DWF_EOFA(ZWilsonImplFH);
+        INSTANTIATE_DPERP_DWF_EOFA(ZWilsonImplDF);
+
+    #endif
+
+}}

lib/qcd/action/fermion/DomainWallEOFAFermiondense.cc

@@ -0,0 +1,159 @@
+/*************************************************************************************
+
+Grid physics library, www.github.com/paboyle/Grid
+
+Source file: ./lib/qcd/action/fermion/DomainWallEOFAFermiondense.cc
+
+Copyright (C) 2017
+
+Author: Peter Boyle <pabobyle@ph.ed.ac.uk>
+Author: Peter Boyle <paboyle@ph.ed.ac.uk>
+Author: Peter Boyle <peterboyle@Peters-MacBook-Pro-2.local>
+Author: paboyle <paboyle@ph.ed.ac.uk>
+Author: David Murphy <dmurphy@phys.columbia.edu>
+
+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_Eigen_Dense.h>
+#include <Grid/qcd/action/fermion/FermionCore.h>
+#include <Grid/qcd/action/fermion/DomainWallEOFAFermion.h>
+
+namespace Grid {
+namespace QCD {
+
+    /*
+    * Dense matrix versions of routines
+    */
+    template<class Impl>
+    void DomainWallEOFAFermion<Impl>::MooeeInvDag(const FermionField& psi, FermionField& chi)
+    {
+        this->MooeeInternal(psi, chi, DaggerYes, InverseYes);
+    }
+
+    template<class Impl>
+    void DomainWallEOFAFermion<Impl>::MooeeInv(const FermionField& psi, FermionField& chi)
+    {
+        this->MooeeInternal(psi, chi, DaggerNo, InverseYes);
+    }
+
+    template<class Impl>
+    void DomainWallEOFAFermion<Impl>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv)
+    {
+        int Ls = this->Ls;
+        int LLs = psi._grid->_rdimensions[0];
+        int vol = psi._grid->oSites()/LLs;
+
+        chi.checkerboard = psi.checkerboard;
+
+        assert(Ls==LLs);
+
+        Eigen::MatrixXd Pplus  = Eigen::MatrixXd::Zero(Ls,Ls);
+        Eigen::MatrixXd Pminus = Eigen::MatrixXd::Zero(Ls,Ls);
+
+        for(int s=0;s<Ls;s++){
+            Pplus(s,s)  = this->bee[s];
+            Pminus(s,s) = this->bee[s];
+        }
+
+        for(int s=0; s<Ls-1; s++){
+            Pminus(s,s+1) = -this->cee[s];
+        }
+
+        for(int s=0; s<Ls-1; s++){
+            Pplus(s+1,s) = -this->cee[s+1];
+        }
+
+        Pplus (0,Ls-1) = this->dp;
+        Pminus(Ls-1,0) = this->dm;
+
+        Eigen::MatrixXd PplusMat ;
+        Eigen::MatrixXd PminusMat;
+
+        if(inv) {
+            PplusMat  = Pplus.inverse();
+            PminusMat = Pminus.inverse();
+        } else {
+            PplusMat  = Pplus;
+            PminusMat = Pminus;
+        }
+
+        if(dag){
+            PplusMat.adjointInPlace();
+            PminusMat.adjointInPlace();
+        }
+
+        // For the non-vectorised s-direction this is simple
+
+        for(auto site=0; site<vol; site++){
+
+            SiteSpinor     SiteChi;
+            SiteHalfSpinor SitePplus;
+            SiteHalfSpinor SitePminus;
+
+            for(int s1=0; s1<Ls; s1++){
+                SiteChi = zero;
+                for(int s2=0; s2<Ls; s2++){
+                    int lex2 = s2 + Ls*site;
+                    if(PplusMat(s1,s2) != 0.0){
+                        spProj5p(SitePplus,psi[lex2]);
+                        accumRecon5p(SiteChi, PplusMat(s1,s2)*SitePplus);
+                    }
+                    if(PminusMat(s1,s2) != 0.0){
+                        spProj5m(SitePminus, psi[lex2]);
+                        accumRecon5m(SiteChi, PminusMat(s1,s2)*SitePminus);
+                    }
+                }
+                chi[s1+Ls*site] = SiteChi*0.5;
+            }
+        }
+    }
+
+    #ifdef DOMAIN_WALL_EOFA_DPERP_DENSE
+
+        INSTANTIATE_DPERP_DWF_EOFA(GparityWilsonImplF);
+        INSTANTIATE_DPERP_DWF_EOFA(GparityWilsonImplD);
+        INSTANTIATE_DPERP_DWF_EOFA(WilsonImplF);
+        INSTANTIATE_DPERP_DWF_EOFA(WilsonImplD);
+        INSTANTIATE_DPERP_DWF_EOFA(ZWilsonImplF);
+        INSTANTIATE_DPERP_DWF_EOFA(ZWilsonImplD);
+
+        template void DomainWallEOFAFermion<GparityWilsonImplF>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
+        template void DomainWallEOFAFermion<GparityWilsonImplD>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
+        template void DomainWallEOFAFermion<WilsonImplF>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
+        template void DomainWallEOFAFermion<WilsonImplD>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
+        template void DomainWallEOFAFermion<ZWilsonImplF>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
+        template void DomainWallEOFAFermion<ZWilsonImplD>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
+
+        INSTANTIATE_DPERP_DWF_EOFA(GparityWilsonImplFH);
+        INSTANTIATE_DPERP_DWF_EOFA(GparityWilsonImplDF);
+        INSTANTIATE_DPERP_DWF_EOFA(WilsonImplFH);
+        INSTANTIATE_DPERP_DWF_EOFA(WilsonImplDF);
+        INSTANTIATE_DPERP_DWF_EOFA(ZWilsonImplFH);
+        INSTANTIATE_DPERP_DWF_EOFA(ZWilsonImplDF);
+
+        template void DomainWallEOFAFermion<GparityWilsonImplFH>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
+        template void DomainWallEOFAFermion<GparityWilsonImplDF>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
+        template void DomainWallEOFAFermion<WilsonImplFH>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
+        template void DomainWallEOFAFermion<WilsonImplDF>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
+        template void DomainWallEOFAFermion<ZWilsonImplFH>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
+        template void DomainWallEOFAFermion<ZWilsonImplDF>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
+
+    #endif
+
+}}

lib/qcd/action/fermion/DomainWallEOFAFermionssp.cc

@@ -0,0 +1,168 @@
+/*************************************************************************************
+
+Grid physics library, www.github.com/paboyle/Grid
+
+Source file: ./lib/qcd/action/fermion/DomainWallEOFAFermionssp.cc
+
+Copyright (C) 2017
+
+Author: Peter Boyle <pabobyle@ph.ed.ac.uk>
+Author: Peter Boyle <paboyle@ph.ed.ac.uk>
+Author: Peter Boyle <peterboyle@Peters-MacBook-Pro-2.local>
+Author: paboyle <paboyle@ph.ed.ac.uk>
+Author: David Murphy <dmurphy@phys.columbia.edu>
+
+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/qcd/action/fermion/FermionCore.h>
+#include <Grid/qcd/action/fermion/DomainWallEOFAFermion.h>
+
+namespace Grid {
+namespace QCD {
+
+    // FIXME -- make a version of these routines with site loop outermost for cache reuse.
+    // Pminus fowards
+    // Pplus  backwards
+    template<class Impl>
+    void DomainWallEOFAFermion<Impl>::M5D(const FermionField& psi, const FermionField& phi,
+        FermionField& chi, std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper)
+    {
+        Coeff_t one(1.0);
+        int Ls = this->Ls;
+        for(int s=0; s<Ls; s++){
+            if(s==0) {
+              axpby_ssp_pminus(chi, diag[s], phi, upper[s], psi, s, s+1);
+              axpby_ssp_pplus (chi, one, chi, lower[s], psi, s, Ls-1);
+            } else if (s==(Ls-1)) {
+              axpby_ssp_pminus(chi, diag[s], phi, upper[s], psi, s, 0);
+              axpby_ssp_pplus (chi, one, chi, lower[s], psi, s, s-1);
+            } else {
+              axpby_ssp_pminus(chi, diag[s], phi, upper[s], psi, s, s+1);
+              axpby_ssp_pplus(chi, one, chi, lower[s], psi, s, s-1);
+            }
+        }
+    }
+
+    template<class Impl>
+    void DomainWallEOFAFermion<Impl>::M5Ddag(const FermionField& psi, const FermionField& phi,
+        FermionField& chi, std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper)
+    {
+        Coeff_t one(1.0);
+        int Ls = this->Ls;
+        for(int s=0; s<Ls; s++){
+            if(s==0) {
+              axpby_ssp_pplus (chi, diag[s], phi, upper[s], psi, s, s+1);
+              axpby_ssp_pminus(chi, one, chi, lower[s], psi, s, Ls-1);
+            } else if (s==(Ls-1)) {
+              axpby_ssp_pplus (chi, diag[s], phi, upper[s], psi, s, 0);
+              axpby_ssp_pminus(chi, one, chi, lower[s], psi, s, s-1);
+            } else {
+              axpby_ssp_pplus (chi, diag[s], phi, upper[s], psi, s, s+1);
+              axpby_ssp_pminus(chi, one, chi, lower[s], psi, s, s-1);
+            }
+        }
+    }
+
+    template<class Impl>
+    void DomainWallEOFAFermion<Impl>::MooeeInv(const FermionField& psi, FermionField& chi)
+    {
+        Coeff_t one(1.0);
+        Coeff_t czero(0.0);
+        chi.checkerboard = psi.checkerboard;
+        int Ls = this->Ls;
+
+        FermionField tmp(psi._grid);
+
+        // Apply (L^{\prime})^{-1}
+        axpby_ssp(chi, one, psi, czero, psi, 0, 0);      // chi[0]=psi[0]
+        for(int s=1; s<Ls; s++){
+            axpby_ssp_pplus(chi, one, psi, -this->lee[s-1], chi, s, s-1);// recursion Psi[s] -lee P_+ chi[s-1]
+        }
+
+        // L_m^{-1}
+        for(int s=0; s<Ls-1; s++){ // Chi[ee] = 1 - sum[s<Ls-1] -leem[s]P_- chi
+            axpby_ssp_pminus(chi, one, chi, -this->leem[s], chi, Ls-1, s);
+        }
+
+        // U_m^{-1} D^{-1}
+        for(int s=0; s<Ls-1; s++){
+            axpby_ssp_pplus(chi, one/this->dee[s], chi, -this->ueem[s]/this->dee[Ls], chi, s, Ls-1);
+        }
+        axpby_ssp_pminus(tmp, czero, chi, one/this->dee[Ls-1], chi, Ls-1, Ls-1);
+        axpby_ssp_pplus(chi, one, tmp, one/this->dee[Ls], chi, Ls-1, Ls-1);
+
+        // Apply U^{-1}
+        for(int s=Ls-2; s>=0; s--){
+            axpby_ssp_pminus(chi, one, chi, -this->uee[s], chi, s, s+1);  // chi[Ls]
+        }
+    }
+
+    template<class Impl>
+    void DomainWallEOFAFermion<Impl>::MooeeInvDag(const FermionField& psi, FermionField& chi)
+    {
+        Coeff_t one(1.0);
+        Coeff_t czero(0.0);
+        chi.checkerboard = psi.checkerboard;
+        int Ls = this->Ls;
+
+        FermionField tmp(psi._grid);
+
+        // Apply (U^{\prime})^{-dagger}
+        axpby_ssp(chi, one, psi, czero, psi, 0, 0);      // chi[0]=psi[0]
+        for(int s=1; s<Ls; s++){
+            axpby_ssp_pminus(chi, one, psi, -conjugate(this->uee[s-1]), chi, s, s-1);
+        }
+
+        // U_m^{-\dagger}
+        for(int s=0; s<Ls-1; s++){
+            axpby_ssp_pplus(chi, one, chi, -conjugate(this->ueem[s]), chi, Ls-1, s);
+        }
+
+        // L_m^{-\dagger} D^{-dagger}
+        for(int s=0; s<Ls-1; s++){
+            axpby_ssp_pminus(chi, one/conjugate(this->dee[s]), chi, -conjugate(this->leem[s]/this->dee[Ls-1]), chi, s, Ls-1);
+        }
+        axpby_ssp_pminus(tmp, czero, chi, one/conjugate(this->dee[Ls-1]), chi, Ls-1, Ls-1);
+        axpby_ssp_pplus(chi, one, tmp, one/conjugate(this->dee[Ls]), chi, Ls-1, Ls-1);
+
+        // Apply L^{-dagger}
+        for(int s=Ls-2; s>=0; s--){
+            axpby_ssp_pplus(chi, one, chi, -conjugate(this->lee[s]), chi, s, s+1);  // chi[Ls]
+        }
+    }
+
+    #ifdef DOMAIN_WALL_EOFA_DPERP_LINALG
+
+        INSTANTIATE_DPERP_DWF_EOFA(WilsonImplF);
+        INSTANTIATE_DPERP_DWF_EOFA(WilsonImplD);
+        INSTANTIATE_DPERP_DWF_EOFA(GparityWilsonImplF);
+        INSTANTIATE_DPERP_DWF_EOFA(GparityWilsonImplD);
+        INSTANTIATE_DPERP_DWF_EOFA(ZWilsonImplF);
+        INSTANTIATE_DPERP_DWF_EOFA(ZWilsonImplD);
+
+        INSTANTIATE_DPERP_DWF_EOFA(WilsonImplFH);
+        INSTANTIATE_DPERP_DWF_EOFA(WilsonImplDF);
+        INSTANTIATE_DPERP_DWF_EOFA(GparityWilsonImplFH);
+        INSTANTIATE_DPERP_DWF_EOFA(GparityWilsonImplDF);
+        INSTANTIATE_DPERP_DWF_EOFA(ZWilsonImplFH);
+        INSTANTIATE_DPERP_DWF_EOFA(ZWilsonImplDF);
+
+    #endif
+
+}}

lib/qcd/action/fermion/DomainWallEOFAFermionvec.cc

@@ -0,0 +1,605 @@
+/*************************************************************************************
+
+Grid physics library, www.github.com/paboyle/Grid
+
+Source file: ./lib/qcd/action/fermion/DomainWallEOFAFermionvec.cc
+
+Copyright (C) 2017
+
+Author: Peter Boyle <pabobyle@ph.ed.ac.uk>
+Author: Peter Boyle <paboyle@ph.ed.ac.uk>
+Author: Peter Boyle <peterboyle@Peters-MacBook-Pro-2.local>
+Author: paboyle <paboyle@ph.ed.ac.uk>
+Author: David Murphy <dmurphy@phys.columbia.edu>
+
+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/qcd/action/fermion/FermionCore.h>
+#include <Grid/qcd/action/fermion/DomainWallEOFAFermion.h>
+
+namespace Grid {
+namespace QCD {
+
+    /*
+    * Dense matrix versions of routines
+    */
+    template<class Impl>
+    void DomainWallEOFAFermion<Impl>::MooeeInvDag(const FermionField& psi, FermionField& chi)
+    {
+        this->MooeeInternal(psi, chi, DaggerYes, InverseYes);
+    }
+
+    template<class Impl>
+    void DomainWallEOFAFermion<Impl>::MooeeInv(const FermionField& psi, FermionField& chi)
+    {
+        this->MooeeInternal(psi, chi, DaggerNo, InverseYes);
+    }
+
+    template<class Impl>
+    void DomainWallEOFAFermion<Impl>::M5D(const FermionField& psi, const FermionField& phi,
+        FermionField& chi, std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper)
+    {
+        GridBase* grid = psi._grid;
+        int Ls  = this->Ls;
+        int LLs = grid->_rdimensions[0];
+        const int nsimd = Simd::Nsimd();
+
+        Vector<iSinglet<Simd> > u(LLs);
+        Vector<iSinglet<Simd> > l(LLs);
+        Vector<iSinglet<Simd> > d(LLs);
+
+        assert(Ls/LLs == nsimd);
+        assert(phi.checkerboard == psi.checkerboard);
+
+        chi.checkerboard = psi.checkerboard;
+
+        // just directly address via type pun
+        typedef typename Simd::scalar_type scalar_type;
+        scalar_type* u_p = (scalar_type*) &u[0];
+        scalar_type* l_p = (scalar_type*) &l[0];
+        scalar_type* d_p = (scalar_type*) &d[0];
+
+        for(int o=0;o<LLs;o++){ // outer
+        for(int i=0;i<nsimd;i++){ //inner
+            int s  = o + i*LLs;
+            int ss = o*nsimd + i;
+            u_p[ss] = upper[s];
+            l_p[ss] = lower[s];
+            d_p[ss] = diag[s];
+        }}
+
+        this->M5Dcalls++;
+        this->M5Dtime -= usecond();
+
+        assert(Nc == 3);
+
+        parallel_for(int ss=0; ss<grid->oSites(); ss+=LLs){ // adds LLs
+
+            #if 0
+
+                alignas(64) SiteHalfSpinor hp;
+                alignas(64) SiteHalfSpinor hm;
+                alignas(64) SiteSpinor fp;
+                alignas(64) SiteSpinor fm;
+
+                for(int v=0; v<LLs; v++){
+
+                    int vp = (v+1)%LLs;
+                    int vm = (v+LLs-1)%LLs;
+
+                    spProj5m(hp, psi[ss+vp]);
+                    spProj5p(hm, psi[ss+vm]);
+
+                    if (vp <= v){ rotate(hp, hp, 1); }
+                    if (vm >= v){ rotate(hm, hm, nsimd-1); }
+
+                    hp = 0.5*hp;
+                    hm = 0.5*hm;
+
+                    spRecon5m(fp, hp);
+                    spRecon5p(fm, hm);
+
+                    chi[ss+v] = d[v]*phi[ss+v];
+                    chi[ss+v] = chi[ss+v] + u[v]*fp;
+                    chi[ss+v] = chi[ss+v] + l[v]*fm;
+
+                }
+
+            #else
+
+                for(int v=0; v<LLs; v++){
+
+                    vprefetch(psi[ss+v+LLs]);
+
+                    int vp = (v==LLs-1) ? 0     : v+1;
+                    int vm = (v==0)     ? LLs-1 : v-1;
+
+                    Simd hp_00 = psi[ss+vp]()(2)(0);
+                    Simd hp_01 = psi[ss+vp]()(2)(1);
+                    Simd hp_02 = psi[ss+vp]()(2)(2);
+                    Simd hp_10 = psi[ss+vp]()(3)(0);
+                    Simd hp_11 = psi[ss+vp]()(3)(1);
+                    Simd hp_12 = psi[ss+vp]()(3)(2);
+
+                    Simd hm_00 = psi[ss+vm]()(0)(0);
+                    Simd hm_01 = psi[ss+vm]()(0)(1);
+                    Simd hm_02 = psi[ss+vm]()(0)(2);
+                    Simd hm_10 = psi[ss+vm]()(1)(0);
+                    Simd hm_11 = psi[ss+vm]()(1)(1);
+                    Simd hm_12 = psi[ss+vm]()(1)(2);
+
+                    if(vp <= v){
+                        hp_00.v = Optimization::Rotate::tRotate<2>(hp_00.v);
+                        hp_01.v = Optimization::Rotate::tRotate<2>(hp_01.v);
+                        hp_02.v = Optimization::Rotate::tRotate<2>(hp_02.v);
+                        hp_10.v = Optimization::Rotate::tRotate<2>(hp_10.v);
+                        hp_11.v = Optimization::Rotate::tRotate<2>(hp_11.v);
+                        hp_12.v = Optimization::Rotate::tRotate<2>(hp_12.v);
+                    }
+
+                    if(vm >= v){
+                        hm_00.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_00.v);
+                        hm_01.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_01.v);
+                        hm_02.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_02.v);
+                        hm_10.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_10.v);
+                        hm_11.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_11.v);
+                        hm_12.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_12.v);
+                    }
+
+                    // Can force these to real arithmetic and save 2x.
+                    Simd p_00 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(0)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_00);
+                    Simd p_01 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(1)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_01);
+                    Simd p_02 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(2)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_02);
+                    Simd p_10 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(0)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_10);
+                    Simd p_11 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(1)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_11);
+                    Simd p_12 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(2)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_12);
+                    Simd p_20 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(0)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_00);
+                    Simd p_21 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(1)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_01);
+                    Simd p_22 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(2)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_02);
+                    Simd p_30 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(3)(0)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_10);
+                    Simd p_31 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(3)(1)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_11);
+                    Simd p_32 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(3)(2)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_12);
+
+                    vstream(chi[ss+v]()(0)(0), p_00);
+                    vstream(chi[ss+v]()(0)(1), p_01);
+                    vstream(chi[ss+v]()(0)(2), p_02);
+                    vstream(chi[ss+v]()(1)(0), p_10);
+                    vstream(chi[ss+v]()(1)(1), p_11);
+                    vstream(chi[ss+v]()(1)(2), p_12);
+                    vstream(chi[ss+v]()(2)(0), p_20);
+                    vstream(chi[ss+v]()(2)(1), p_21);
+                    vstream(chi[ss+v]()(2)(2), p_22);
+                    vstream(chi[ss+v]()(3)(0), p_30);
+                    vstream(chi[ss+v]()(3)(1), p_31);
+                    vstream(chi[ss+v]()(3)(2), p_32);
+                }
+
+            #endif
+        }
+
+        this->M5Dtime += usecond();
+    }
+
+    template<class Impl>
+    void DomainWallEOFAFermion<Impl>::M5Ddag(const FermionField& psi, const FermionField& phi,
+        FermionField& chi, std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper)
+    {
+        GridBase* grid = psi._grid;
+        int Ls  = this->Ls;
+        int LLs = grid->_rdimensions[0];
+        int nsimd = Simd::Nsimd();
+
+        Vector<iSinglet<Simd> > u(LLs);
+        Vector<iSinglet<Simd> > l(LLs);
+        Vector<iSinglet<Simd> > d(LLs);
+
+        assert(Ls/LLs == nsimd);
+        assert(phi.checkerboard == psi.checkerboard);
+
+        chi.checkerboard = psi.checkerboard;
+
+        // just directly address via type pun
+        typedef typename Simd::scalar_type scalar_type;
+        scalar_type* u_p = (scalar_type*) &u[0];
+        scalar_type* l_p = (scalar_type*) &l[0];
+        scalar_type* d_p = (scalar_type*) &d[0];
+
+        for(int o=0; o<LLs; o++){ // outer
+        for(int i=0; i<nsimd; i++){ //inner
+            int s  = o + i*LLs;
+            int ss = o*nsimd + i;
+            u_p[ss] = upper[s];
+            l_p[ss] = lower[s];
+            d_p[ss] = diag[s];
+        }}
+
+        this->M5Dcalls++;
+        this->M5Dtime -= usecond();
+
+        parallel_for(int ss=0; ss<grid->oSites(); ss+=LLs){ // adds LLs
+
+        #if 0
+
+            alignas(64) SiteHalfSpinor hp;
+            alignas(64) SiteHalfSpinor hm;
+            alignas(64) SiteSpinor fp;
+            alignas(64) SiteSpinor fm;
+
+            for(int v=0; v<LLs; v++){
+
+                int vp = (v+1)%LLs;
+                int vm = (v+LLs-1)%LLs;
+
+                spProj5p(hp, psi[ss+vp]);
+                spProj5m(hm, psi[ss+vm]);
+
+                if(vp <= v){ rotate(hp, hp, 1); }
+                if(vm >= v){ rotate(hm, hm, nsimd-1); }
+
+                hp = hp*0.5;
+                hm = hm*0.5;
+                spRecon5p(fp, hp);
+                spRecon5m(fm, hm);
+
+                chi[ss+v] = d[v]*phi[ss+v]+u[v]*fp;
+                chi[ss+v] = chi[ss+v]     +l[v]*fm;
+            }
+
+        #else
+
+            for(int v=0; v<LLs; v++){
+
+                vprefetch(psi[ss+v+LLs]);
+
+                int vp = (v == LLs-1) ? 0     : v+1;
+                int vm = (v == 0    ) ? LLs-1 : v-1;
+
+                Simd hp_00 = psi[ss+vp]()(0)(0);
+                Simd hp_01 = psi[ss+vp]()(0)(1);
+                Simd hp_02 = psi[ss+vp]()(0)(2);
+                Simd hp_10 = psi[ss+vp]()(1)(0);
+                Simd hp_11 = psi[ss+vp]()(1)(1);
+                Simd hp_12 = psi[ss+vp]()(1)(2);
+
+                Simd hm_00 = psi[ss+vm]()(2)(0);
+                Simd hm_01 = psi[ss+vm]()(2)(1);
+                Simd hm_02 = psi[ss+vm]()(2)(2);
+                Simd hm_10 = psi[ss+vm]()(3)(0);
+                Simd hm_11 = psi[ss+vm]()(3)(1);
+                Simd hm_12 = psi[ss+vm]()(3)(2);
+
+                if (vp <= v){
+                    hp_00.v = Optimization::Rotate::tRotate<2>(hp_00.v);
+                    hp_01.v = Optimization::Rotate::tRotate<2>(hp_01.v);
+                    hp_02.v = Optimization::Rotate::tRotate<2>(hp_02.v);
+                    hp_10.v = Optimization::Rotate::tRotate<2>(hp_10.v);
+                    hp_11.v = Optimization::Rotate::tRotate<2>(hp_11.v);
+                    hp_12.v = Optimization::Rotate::tRotate<2>(hp_12.v);
+                }
+
+                if(vm >= v){
+                    hm_00.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_00.v);
+                    hm_01.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_01.v);
+                    hm_02.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_02.v);
+                    hm_10.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_10.v);
+                    hm_11.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_11.v);
+                    hm_12.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_12.v);
+                }
+
+                Simd p_00 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(0)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_00);
+                Simd p_01 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(1)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_01);
+                Simd p_02 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(2)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_02);
+                Simd p_10 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(0)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_10);
+                Simd p_11 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(1)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_11);
+                Simd p_12 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(2)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_12);
+                Simd p_20 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(0)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_00);
+                Simd p_21 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(1)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_01);
+                Simd p_22 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(2)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_02);
+                Simd p_30 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(3)(0)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_10);
+                Simd p_31 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(3)(1)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_11);
+                Simd p_32 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(3)(2)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_12);
+
+                vstream(chi[ss+v]()(0)(0), p_00);
+                vstream(chi[ss+v]()(0)(1), p_01);
+                vstream(chi[ss+v]()(0)(2), p_02);
+                vstream(chi[ss+v]()(1)(0), p_10);
+                vstream(chi[ss+v]()(1)(1), p_11);
+                vstream(chi[ss+v]()(1)(2), p_12);
+                vstream(chi[ss+v]()(2)(0), p_20);
+                vstream(chi[ss+v]()(2)(1), p_21);
+                vstream(chi[ss+v]()(2)(2), p_22);
+                vstream(chi[ss+v]()(3)(0), p_30);
+                vstream(chi[ss+v]()(3)(1), p_31);
+                vstream(chi[ss+v]()(3)(2), p_32);
+            }
+        #endif
+
+        }
+
+        this->M5Dtime += usecond();
+    }
+
+    #ifdef AVX512
+        #include<simd/Intel512common.h>
+        #include<simd/Intel512avx.h>
+        #include<simd/Intel512single.h>
+    #endif
+
+    template<class Impl>
+    void DomainWallEOFAFermion<Impl>::MooeeInternalAsm(const FermionField& psi, FermionField& chi,
+        int LLs, int site, Vector<iSinglet<Simd> >& Matp, Vector<iSinglet<Simd> >& Matm)
+    {
+        #ifndef AVX512
+        {
+            SiteHalfSpinor BcastP;
+            SiteHalfSpinor BcastM;
+            SiteHalfSpinor SiteChiP;
+            SiteHalfSpinor SiteChiM;
+
+            // Ls*Ls * 2 * 12 * vol flops
+            for(int s1=0; s1<LLs; s1++){
+
+                for(int s2=0; s2<LLs; s2++){
+                for(int l=0; l < Simd::Nsimd(); l++){ // simd lane
+
+                    int s = s2 + l*LLs;
+                    int lex = s2 + LLs*site;
+
+                    if( s2==0 && l==0 ){
+                        SiteChiP=zero;
+                        SiteChiM=zero;
+                    }
+
+                    for(int sp=0; sp<2;  sp++){
+                    for(int co=0; co<Nc; co++){
+                        vbroadcast(BcastP()(sp)(co), psi[lex]()(sp)(co), l);
+                    }}
+
+                    for(int sp=0; sp<2;  sp++){
+                    for(int co=0; co<Nc; co++){
+                        vbroadcast(BcastM()(sp)(co), psi[lex]()(sp+2)(co), l);
+                    }}
+
+                    for(int sp=0; sp<2;  sp++){
+                    for(int co=0; co<Nc; co++){
+                        SiteChiP()(sp)(co) = real_madd(Matp[LLs*s+s1]()()(), BcastP()(sp)(co), SiteChiP()(sp)(co)); // 1100 us.
+                        SiteChiM()(sp)(co) = real_madd(Matm[LLs*s+s1]()()(), BcastM()(sp)(co), SiteChiM()(sp)(co)); // each found by commenting out
+                    }}
+                }}
+
+                {
+                    int lex = s1 + LLs*site;
+                    for(int sp=0; sp<2;  sp++){
+                    for(int co=0; co<Nc; co++){
+                        vstream(chi[lex]()(sp)(co),   SiteChiP()(sp)(co));
+                        vstream(chi[lex]()(sp+2)(co), SiteChiM()(sp)(co));
+                    }}
+                }
+            }
+
+        }
+        #else
+        {
+            // pointers
+            //  MASK_REGS;
+            #define Chi_00 %%zmm1
+            #define Chi_01 %%zmm2
+            #define Chi_02 %%zmm3
+            #define Chi_10 %%zmm4
+            #define Chi_11 %%zmm5
+            #define Chi_12 %%zmm6
+            #define Chi_20 %%zmm7
+            #define Chi_21 %%zmm8
+            #define Chi_22 %%zmm9
+            #define Chi_30 %%zmm10
+            #define Chi_31 %%zmm11
+            #define Chi_32 %%zmm12
+
+            #define BCAST0  %%zmm13
+            #define BCAST1  %%zmm14
+            #define BCAST2  %%zmm15
+            #define BCAST3  %%zmm16
+            #define BCAST4  %%zmm17
+            #define BCAST5  %%zmm18
+            #define BCAST6  %%zmm19
+            #define BCAST7  %%zmm20
+            #define BCAST8  %%zmm21
+            #define BCAST9  %%zmm22
+            #define BCAST10 %%zmm23
+            #define BCAST11 %%zmm24
+
+            int incr = LLs*LLs*sizeof(iSinglet<Simd>);
+            for(int s1=0; s1<LLs; s1++){
+
+                for(int s2=0; s2<LLs; s2++){
+
+                    int lex = s2 + LLs*site;
+                    uint64_t a0 = (uint64_t) &Matp[LLs*s2+s1]; // should be cacheable
+                    uint64_t a1 = (uint64_t) &Matm[LLs*s2+s1];
+                    uint64_t a2 = (uint64_t) &psi[lex];
+
+                    for(int l=0; l<Simd::Nsimd(); l++){ // simd lane
+                        if((s2+l)==0) {
+                            asm(
+                                    VPREFETCH1(0,%2)              VPREFETCH1(0,%1)
+                                    VPREFETCH1(12,%2)  	          VPREFETCH1(13,%2)
+                                    VPREFETCH1(14,%2)  	          VPREFETCH1(15,%2)
+                                    VBCASTCDUP(0,%2,BCAST0)
+                                    VBCASTCDUP(1,%2,BCAST1)
+                                    VBCASTCDUP(2,%2,BCAST2)
+                                    VBCASTCDUP(3,%2,BCAST3)
+                                    VBCASTCDUP(4,%2,BCAST4)       VMULMEM(0,%0,BCAST0,Chi_00)
+                                    VBCASTCDUP(5,%2,BCAST5)       VMULMEM(0,%0,BCAST1,Chi_01)
+                                    VBCASTCDUP(6,%2,BCAST6)       VMULMEM(0,%0,BCAST2,Chi_02)
+                                    VBCASTCDUP(7,%2,BCAST7)       VMULMEM(0,%0,BCAST3,Chi_10)
+                                    VBCASTCDUP(8,%2,BCAST8)       VMULMEM(0,%0,BCAST4,Chi_11)
+                                    VBCASTCDUP(9,%2,BCAST9)       VMULMEM(0,%0,BCAST5,Chi_12)
+                                    VBCASTCDUP(10,%2,BCAST10)     VMULMEM(0,%1,BCAST6,Chi_20)
+                                    VBCASTCDUP(11,%2,BCAST11)     VMULMEM(0,%1,BCAST7,Chi_21)
+                                    VMULMEM(0,%1,BCAST8,Chi_22)
+                                    VMULMEM(0,%1,BCAST9,Chi_30)
+                                    VMULMEM(0,%1,BCAST10,Chi_31)
+                                    VMULMEM(0,%1,BCAST11,Chi_32)
+                                    : : "r" (a0), "r" (a1), "r" (a2)                            );
+                        } else {
+                            asm(
+                                    VBCASTCDUP(0,%2,BCAST0)   VMADDMEM(0,%0,BCAST0,Chi_00)
+                                    VBCASTCDUP(1,%2,BCAST1)   VMADDMEM(0,%0,BCAST1,Chi_01)
+                                    VBCASTCDUP(2,%2,BCAST2)   VMADDMEM(0,%0,BCAST2,Chi_02)
+                                    VBCASTCDUP(3,%2,BCAST3)   VMADDMEM(0,%0,BCAST3,Chi_10)
+                                    VBCASTCDUP(4,%2,BCAST4)   VMADDMEM(0,%0,BCAST4,Chi_11)
+                                    VBCASTCDUP(5,%2,BCAST5)   VMADDMEM(0,%0,BCAST5,Chi_12)
+                                    VBCASTCDUP(6,%2,BCAST6)   VMADDMEM(0,%1,BCAST6,Chi_20)
+                                    VBCASTCDUP(7,%2,BCAST7)   VMADDMEM(0,%1,BCAST7,Chi_21)
+                                    VBCASTCDUP(8,%2,BCAST8)   VMADDMEM(0,%1,BCAST8,Chi_22)
+                                    VBCASTCDUP(9,%2,BCAST9)   VMADDMEM(0,%1,BCAST9,Chi_30)
+                                    VBCASTCDUP(10,%2,BCAST10) VMADDMEM(0,%1,BCAST10,Chi_31)
+                                    VBCASTCDUP(11,%2,BCAST11) VMADDMEM(0,%1,BCAST11,Chi_32)
+                                    : : "r" (a0), "r" (a1), "r" (a2)                            );
+                        }
+                        a0 = a0 + incr;
+                        a1 = a1 + incr;
+                        a2 = a2 + sizeof(Simd::scalar_type);
+                    }
+                }
+
+                {
+                  int lexa = s1+LLs*site;
+                  asm (
+                     VSTORE(0,%0,Chi_00) VSTORE(1 ,%0,Chi_01)  VSTORE(2 ,%0,Chi_02)
+                     VSTORE(3,%0,Chi_10) VSTORE(4 ,%0,Chi_11)  VSTORE(5 ,%0,Chi_12)
+                     VSTORE(6,%0,Chi_20) VSTORE(7 ,%0,Chi_21)  VSTORE(8 ,%0,Chi_22)
+                     VSTORE(9,%0,Chi_30) VSTORE(10,%0,Chi_31)  VSTORE(11,%0,Chi_32)
+                     : : "r" ((uint64_t)&chi[lexa]) : "memory" );
+
+                }
+            }
+        }
+
+        #undef Chi_00
+        #undef Chi_01
+        #undef Chi_02
+        #undef Chi_10
+        #undef Chi_11
+        #undef Chi_12
+        #undef Chi_20
+        #undef Chi_21
+        #undef Chi_22
+        #undef Chi_30
+        #undef Chi_31
+        #undef Chi_32
+
+        #undef BCAST0
+        #undef BCAST1
+        #undef BCAST2
+        #undef BCAST3
+        #undef BCAST4
+        #undef BCAST5
+        #undef BCAST6
+        #undef BCAST7
+        #undef BCAST8
+        #undef BCAST9
+        #undef BCAST10
+        #undef BCAST11
+        #endif
+    };
+
+    // Z-mobius version
+    template<class Impl>
+    void DomainWallEOFAFermion<Impl>::MooeeInternalZAsm(const FermionField& psi, FermionField& chi,
+        int LLs, int site, Vector<iSinglet<Simd> >& Matp, Vector<iSinglet<Simd> >& Matm)
+    {
+        std::cout << "Error: zMobius not implemented for EOFA" << std::endl;
+        exit(-1);
+    };
+
+    template<class Impl>
+    void DomainWallEOFAFermion<Impl>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv)
+    {
+        int Ls  = this->Ls;
+        int LLs = psi._grid->_rdimensions[0];
+        int vol = psi._grid->oSites()/LLs;
+
+        chi.checkerboard = psi.checkerboard;
+
+        Vector<iSinglet<Simd> > Matp;
+        Vector<iSinglet<Simd> > Matm;
+        Vector<iSinglet<Simd> > *_Matp;
+        Vector<iSinglet<Simd> > *_Matm;
+
+        //  MooeeInternalCompute(dag,inv,Matp,Matm);
+        if(inv && dag){
+            _Matp = &this->MatpInvDag;
+            _Matm = &this->MatmInvDag;
+        }
+
+        if(inv && (!dag)){
+            _Matp = &this->MatpInv;
+            _Matm = &this->MatmInv;
+        }
+
+        if(!inv){
+            MooeeInternalCompute(dag, inv, Matp, Matm);
+            _Matp = &Matp;
+            _Matm = &Matm;
+        }
+
+        assert(_Matp->size() == Ls*LLs);
+
+        this->MooeeInvCalls++;
+        this->MooeeInvTime -= usecond();
+
+        if(switcheroo<Coeff_t>::iscomplex()){
+            parallel_for(auto site=0; site<vol; site++){
+                MooeeInternalZAsm(psi, chi, LLs, site, *_Matp, *_Matm);
+            }
+        } else {
+            parallel_for(auto site=0; site<vol; site++){
+                MooeeInternalAsm(psi, chi, LLs, site, *_Matp, *_Matm);
+            }
+        }
+
+        this->MooeeInvTime += usecond();
+    }
+
+    #ifdef DOMAIN_WALL_EOFA_DPERP_VEC
+
+        INSTANTIATE_DPERP_DWF_EOFA(DomainWallVec5dImplD);
+        INSTANTIATE_DPERP_DWF_EOFA(DomainWallVec5dImplF);
+        INSTANTIATE_DPERP_DWF_EOFA(ZDomainWallVec5dImplD);
+        INSTANTIATE_DPERP_DWF_EOFA(ZDomainWallVec5dImplF);
+
+        INSTANTIATE_DPERP_DWF_EOFA(DomainWallVec5dImplDF);
+        INSTANTIATE_DPERP_DWF_EOFA(DomainWallVec5dImplFH);
+        INSTANTIATE_DPERP_DWF_EOFA(ZDomainWallVec5dImplDF);
+        INSTANTIATE_DPERP_DWF_EOFA(ZDomainWallVec5dImplFH);
+
+        template void DomainWallEOFAFermion<DomainWallVec5dImplF>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
+        template void DomainWallEOFAFermion<DomainWallVec5dImplD>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
+        template void DomainWallEOFAFermion<ZDomainWallVec5dImplF>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
+        template void DomainWallEOFAFermion<ZDomainWallVec5dImplD>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
+
+        template void DomainWallEOFAFermion<DomainWallVec5dImplFH>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
+        template void DomainWallEOFAFermion<DomainWallVec5dImplDF>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
+        template void DomainWallEOFAFermion<ZDomainWallVec5dImplFH>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
+        template void DomainWallEOFAFermion<ZDomainWallVec5dImplDF>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
+
+    #endif
+
+}}

lib/qcd/action/fermion/Fermion.h

@@ -38,6 +38,8 @@ Author: Peter Boyle <pabobyle@ph.ed.ac.uk>
 // - ContinuedFractionFermion5D.cc
 // - WilsonFermion.cc
 // - WilsonKernels.cc
+// - DomainWallEOFAFermion.cc
+// - MobiusEOFAFermion.cc
 //
 // The explicit instantiation is only avoidable if we move this source to headers and end up with include/parse/recompile
 // for EVERY .cc file. This define centralises the list and restores global push of impl cases
@@ -55,8 +57,9 @@ Author: Peter Boyle <pabobyle@ph.ed.ac.uk>
 #include <Grid/qcd/action/fermion/ImprovedStaggeredFermion5D.h>
 #include <Grid/qcd/action/fermion/CayleyFermion5D.h>     // Cayley types
 #include <Grid/qcd/action/fermion/DomainWallFermion.h>
-#include <Grid/qcd/action/fermion/DomainWallFermion.h>
+#include <Grid/qcd/action/fermion/DomainWallEOFAFermion.h>
 #include <Grid/qcd/action/fermion/MobiusFermion.h>
+#include <Grid/qcd/action/fermion/MobiusEOFAFermion.h>
 #include <Grid/qcd/action/fermion/ZMobiusFermion.h>
 #include <Grid/qcd/action/fermion/SchurDiagTwoKappa.h>
 #include <Grid/qcd/action/fermion/ScaledShamirFermion.h>
@@ -113,6 +116,14 @@ typedef DomainWallFermion<WilsonImplRL> DomainWallFermionRL;
 typedef DomainWallFermion<WilsonImplFH> DomainWallFermionFH;
 typedef DomainWallFermion<WilsonImplDF> DomainWallFermionDF;
 
+typedef DomainWallEOFAFermion<WilsonImplR> DomainWallEOFAFermionR;
+typedef DomainWallEOFAFermion<WilsonImplF> DomainWallEOFAFermionF;
+typedef DomainWallEOFAFermion<WilsonImplD> DomainWallEOFAFermionD;
+
+typedef DomainWallEOFAFermion<WilsonImplRL> DomainWallEOFAFermionRL;
+typedef DomainWallEOFAFermion<WilsonImplFH> DomainWallEOFAFermionFH;
+typedef DomainWallEOFAFermion<WilsonImplDF> DomainWallEOFAFermionDF;
+
 typedef MobiusFermion<WilsonImplR> MobiusFermionR;
 typedef MobiusFermion<WilsonImplF> MobiusFermionF;
 typedef MobiusFermion<WilsonImplD> MobiusFermionD;
@@ -121,6 +132,14 @@ typedef MobiusFermion<WilsonImplRL> MobiusFermionRL;
 typedef MobiusFermion<WilsonImplFH> MobiusFermionFH;
 typedef MobiusFermion<WilsonImplDF> MobiusFermionDF;
 
+typedef MobiusEOFAFermion<WilsonImplR> MobiusEOFAFermionR;
+typedef MobiusEOFAFermion<WilsonImplF> MobiusEOFAFermionF;
+typedef MobiusEOFAFermion<WilsonImplD> MobiusEOFAFermionD;
+
+typedef MobiusEOFAFermion<WilsonImplRL> MobiusEOFAFermionRL;
+typedef MobiusEOFAFermion<WilsonImplFH> MobiusEOFAFermionFH;
+typedef MobiusEOFAFermion<WilsonImplDF> MobiusEOFAFermionDF;
+
 typedef ZMobiusFermion<ZWilsonImplR> ZMobiusFermionR;
 typedef ZMobiusFermion<ZWilsonImplF> ZMobiusFermionF;
 typedef ZMobiusFermion<ZWilsonImplD> ZMobiusFermionD;
@@ -138,6 +157,14 @@ typedef DomainWallFermion<DomainWallVec5dImplRL> DomainWallFermionVec5dRL;
 typedef DomainWallFermion<DomainWallVec5dImplFH> DomainWallFermionVec5dFH;
 typedef DomainWallFermion<DomainWallVec5dImplDF> DomainWallFermionVec5dDF;
 
+typedef DomainWallEOFAFermion<DomainWallVec5dImplR> DomainWallEOFAFermionVec5dR;
+typedef DomainWallEOFAFermion<DomainWallVec5dImplF> DomainWallEOFAFermionVec5dF;
+typedef DomainWallEOFAFermion<DomainWallVec5dImplD> DomainWallEOFAFermionVec5dD;
+
+typedef DomainWallEOFAFermion<DomainWallVec5dImplRL> DomainWallEOFAFermionVec5dRL;
+typedef DomainWallEOFAFermion<DomainWallVec5dImplFH> DomainWallEOFAFermionVec5dFH;
+typedef DomainWallEOFAFermion<DomainWallVec5dImplDF> DomainWallEOFAFermionVec5dDF;
+
 typedef MobiusFermion<DomainWallVec5dImplR> MobiusFermionVec5dR;
 typedef MobiusFermion<DomainWallVec5dImplF> MobiusFermionVec5dF;
 typedef MobiusFermion<DomainWallVec5dImplD> MobiusFermionVec5dD;
@@ -146,6 +173,14 @@ typedef MobiusFermion<DomainWallVec5dImplRL> MobiusFermionVec5dRL;
 typedef MobiusFermion<DomainWallVec5dImplFH> MobiusFermionVec5dFH;
 typedef MobiusFermion<DomainWallVec5dImplDF> MobiusFermionVec5dDF;
 
+typedef MobiusEOFAFermion<DomainWallVec5dImplR> MobiusEOFAFermionVec5dR;
+typedef MobiusEOFAFermion<DomainWallVec5dImplF> MobiusEOFAFermionVec5dF;
+typedef MobiusEOFAFermion<DomainWallVec5dImplD> MobiusEOFAFermionVec5dD;
+
+typedef MobiusEOFAFermion<DomainWallVec5dImplRL> MobiusEOFAFermionVec5dRL;
+typedef MobiusEOFAFermion<DomainWallVec5dImplFH> MobiusEOFAFermionVec5dFH;
+typedef MobiusEOFAFermion<DomainWallVec5dImplDF> MobiusEOFAFermionVec5dDF;
+
 typedef ZMobiusFermion<ZDomainWallVec5dImplR> ZMobiusFermionVec5dR;
 typedef ZMobiusFermion<ZDomainWallVec5dImplF> ZMobiusFermionVec5dF;
 typedef ZMobiusFermion<ZDomainWallVec5dImplD> ZMobiusFermionVec5dD;
@@ -206,6 +241,14 @@ typedef DomainWallFermion<GparityWilsonImplRL> GparityDomainWallFermionRL;
 typedef DomainWallFermion<GparityWilsonImplFH> GparityDomainWallFermionFH;
 typedef DomainWallFermion<GparityWilsonImplDF> GparityDomainWallFermionDF;
 
+typedef DomainWallEOFAFermion<GparityWilsonImplR> GparityDomainWallEOFAFermionR;
+typedef DomainWallEOFAFermion<GparityWilsonImplF> GparityDomainWallEOFAFermionF;
+typedef DomainWallEOFAFermion<GparityWilsonImplD> GparityDomainWallEOFAFermionD;
+
+typedef DomainWallEOFAFermion<GparityWilsonImplRL> GparityDomainWallEOFAFermionRL;
+typedef DomainWallEOFAFermion<GparityWilsonImplFH> GparityDomainWallEOFAFermionFH;
+typedef DomainWallEOFAFermion<GparityWilsonImplDF> GparityDomainWallEOFAFermionDF;
+
 typedef WilsonTMFermion<GparityWilsonImplR> GparityWilsonTMFermionR;
 typedef WilsonTMFermion<GparityWilsonImplF> GparityWilsonTMFermionF;
 typedef WilsonTMFermion<GparityWilsonImplD> GparityWilsonTMFermionD;
@@ -222,6 +265,14 @@ typedef MobiusFermion<GparityWilsonImplRL> GparityMobiusFermionRL;
 typedef MobiusFermion<GparityWilsonImplFH> GparityMobiusFermionFH;
 typedef MobiusFermion<GparityWilsonImplDF> GparityMobiusFermionDF;
 
+typedef MobiusEOFAFermion<GparityWilsonImplR> GparityMobiusEOFAFermionR;
+typedef MobiusEOFAFermion<GparityWilsonImplF> GparityMobiusEOFAFermionF;
+typedef MobiusEOFAFermion<GparityWilsonImplD> GparityMobiusEOFAFermionD;
+
+typedef MobiusEOFAFermion<GparityWilsonImplRL> GparityMobiusEOFAFermionRL;
+typedef MobiusEOFAFermion<GparityWilsonImplFH> GparityMobiusEOFAFermionFH;
+typedef MobiusEOFAFermion<GparityWilsonImplDF> GparityMobiusEOFAFermionDF;
+
 typedef ImprovedStaggeredFermion<StaggeredImplR> ImprovedStaggeredFermionR;
 typedef ImprovedStaggeredFermion<StaggeredImplF> ImprovedStaggeredFermionF;
 typedef ImprovedStaggeredFermion<StaggeredImplD> ImprovedStaggeredFermionD;

lib/qcd/action/fermion/MobiusEOFAFermion.cc

@@ -0,0 +1,502 @@
+/*************************************************************************************
+
+Grid physics library, www.github.com/paboyle/Grid
+
+Source file: ./lib/qcd/action/fermion/MobiusEOFAFermion.cc
+
+Copyright (C) 2017
+
+Author: Peter Boyle <pabobyle@ph.ed.ac.uk>
+Author: Peter Boyle <paboyle@ph.ed.ac.uk>
+Author: Peter Boyle <peterboyle@Peters-MacBook-Pro-2.local>
+Author: paboyle <paboyle@ph.ed.ac.uk>
+Author: David Murphy <dmurphy@phys.columbia.edu>
+
+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_Eigen_Dense.h>
+#include <Grid/qcd/action/fermion/FermionCore.h>
+#include <Grid/qcd/action/fermion/MobiusEOFAFermion.h>
+
+namespace Grid {
+namespace QCD {
+
+  template<class Impl>
+    MobiusEOFAFermion<Impl>::MobiusEOFAFermion(
+      GaugeField            &_Umu,
+      GridCartesian         &FiveDimGrid,
+      GridRedBlackCartesian &FiveDimRedBlackGrid,
+      GridCartesian         &FourDimGrid,
+      GridRedBlackCartesian &FourDimRedBlackGrid,
+      RealD _mq1, RealD _mq2, RealD _mq3,
+      RealD _shift, int _pm, RealD _M5,
+      RealD _b, RealD _c, const ImplParams &p) :
+    AbstractEOFAFermion<Impl>(_Umu, FiveDimGrid, FiveDimRedBlackGrid,
+        FourDimGrid, FourDimRedBlackGrid, _mq1, _mq2, _mq3,
+        _shift, _pm, _M5, _b, _c, p)
+    {
+      int Ls = this->Ls;
+
+      RealD eps = 1.0;
+      Approx::zolotarev_data *zdata = Approx::higham(eps, this->Ls);
+      assert(zdata->n == this->Ls);
+
+      std::cout << GridLogMessage << "MobiusEOFAFermion (b=" << _b <<
+        ",c=" << _c << ") with Ls=" << Ls << std::endl;
+      this->SetCoefficientsTanh(zdata, _b, _c);
+      std::cout << GridLogMessage << "EOFA parameters: (mq1=" << _mq1 <<
+        ",mq2=" << _mq2 << ",mq3=" << _mq3 << ",shift=" << _shift <<
+        ",pm=" << _pm << ")" << std::endl;
+
+      Approx::zolotarev_free(zdata);
+
+      if(_shift != 0.0){
+        SetCoefficientsPrecondShiftOps();
+      } else {
+        Mooee_shift.resize(Ls, 0.0);
+        MooeeInv_shift_lc.resize(Ls, 0.0);
+        MooeeInv_shift_norm.resize(Ls, 0.0);
+        MooeeInvDag_shift_lc.resize(Ls, 0.0);
+        MooeeInvDag_shift_norm.resize(Ls, 0.0);
+      }
+    }
+
+    /****************************************************************
+     * Additional EOFA operators only called outside the inverter.  
+     * Since speed is not essential, simple axpby-style
+     * implementations should be fine.
+     ***************************************************************/
+    template<class Impl>
+    void MobiusEOFAFermion<Impl>::Omega(const FermionField& psi, FermionField& Din, int sign, int dag)
+    {
+      int Ls = this->Ls;
+      RealD alpha = this->alpha;
+
+      Din = zero;
+      if((sign == 1) && (dag == 0)) { // \Omega_{+}
+        for(int s=0; s<Ls; ++s){
+          axpby_ssp(Din, 0.0, psi, 2.0*std::pow(1.0-alpha,Ls-s-1)/std::pow(1.0+alpha,Ls-s), psi, s, 0);
+        }
+      } else if((sign == -1) && (dag == 0)) { // \Omega_{-}
+        for(int s=0; s<Ls; ++s){
+          axpby_ssp(Din, 0.0, psi, 2.0*std::pow(1.0-alpha,s)/std::pow(1.0+alpha,s+1), psi, s, 0);
+        }
+      } else if((sign == 1 ) && (dag == 1)) { // \Omega_{+}^{\dagger}
+        for(int sp=0; sp<Ls; ++sp){
+          axpby_ssp(Din, 1.0, Din, 2.0*std::pow(1.0-alpha,Ls-sp-1)/std::pow(1.0+alpha,Ls-sp), psi, 0, sp);
+        }
+      } else if((sign == -1) && (dag == 1)) { // \Omega_{-}^{\dagger}
+        for(int sp=0; sp<Ls; ++sp){
+          axpby_ssp(Din, 1.0, Din, 2.0*std::pow(1.0-alpha,sp)/std::pow(1.0+alpha,sp+1), psi, 0, sp);
+        }
+      }
+    }
+
+    // This is the operator relating the usual Ddwf to TWQCD's EOFA Dirac operator (arXiv:1706.05843, Eqn. 6).
+    // It also relates the preconditioned and unpreconditioned systems described in Appendix B.2.
+    template<class Impl>
+    void MobiusEOFAFermion<Impl>::Dtilde(const FermionField& psi, FermionField& chi)
+    {
+      int Ls    = this->Ls;
+      RealD b   = 0.5 * ( 1.0 + this->alpha );
+      RealD c   = 0.5 * ( 1.0 - this->alpha );
+      RealD mq1 = this->mq1;
+
+      for(int s=0; s<Ls; ++s){
+        if(s == 0) {
+          axpby_ssp_pminus(chi, b, psi, -c, psi, s, s+1);
+          axpby_ssp_pplus (chi, 1.0, chi, mq1*c, psi, s, Ls-1);
+        } else if(s == (Ls-1)) {
+          axpby_ssp_pminus(chi, b, psi, mq1*c, psi, s, 0);
+          axpby_ssp_pplus (chi, 1.0, chi, -c, psi, s, s-1);
+        } else {
+          axpby_ssp_pminus(chi, b, psi, -c, psi, s, s+1);
+          axpby_ssp_pplus (chi, 1.0, chi, -c, psi, s, s-1);
+        }
+      }
+    }
+
+    template<class Impl>
+    void MobiusEOFAFermion<Impl>::DtildeInv(const FermionField& psi, FermionField& chi)
+    {
+      int Ls = this->Ls;
+      RealD m = this->mq1;
+      RealD c = 0.5 * this->alpha;
+      RealD d = 0.5;
+
+      RealD DtInv_p(0.0), DtInv_m(0.0);
+      RealD N = std::pow(c+d,Ls) + m*std::pow(c-d,Ls);
+      FermionField tmp(this->FermionGrid());
+
+      for(int s=0; s<Ls; ++s){
+      for(int sp=0; sp<Ls; ++sp){
+
+        DtInv_p = m * std::pow(-1.0,s-sp+1) * std::pow(c-d,Ls+s-sp) / std::pow(c+d,s-sp+1) / N;
+        DtInv_p += (s < sp) ? 0.0 : std::pow(-1.0,s-sp) * std::pow(c-d,s-sp) / std::pow(c+d,s-sp+1);
+        DtInv_m = m * std::pow(-1.0,sp-s+1) * std::pow(c-d,Ls+sp-s) / std::pow(c+d,sp-s+1) / N;
+        DtInv_m += (s > sp) ? 0.0 : std::pow(-1.0,sp-s) * std::pow(c-d,sp-s) / std::pow(c+d,sp-s+1);
+
+        if(sp == 0){
+          axpby_ssp_pplus (tmp, 0.0, tmp, DtInv_p, psi, s, sp);
+          axpby_ssp_pminus(tmp, 0.0, tmp, DtInv_m, psi, s, sp);
+        } else {
+          axpby_ssp_pplus (tmp, 1.0, tmp, DtInv_p, psi, s, sp);
+          axpby_ssp_pminus(tmp, 1.0, tmp, DtInv_m, psi, s, sp);
+        }
+
+      }}
+    }
+
+    /*****************************************************************************************************/
+
+    template<class Impl>
+    RealD MobiusEOFAFermion<Impl>::M(const FermionField& psi, FermionField& chi)
+    {
+      int Ls = this->Ls;
+
+      FermionField Din(psi._grid);
+
+      this->Meooe5D(psi, Din);
+      this->DW(Din, chi, DaggerNo);
+      axpby(chi, 1.0, 1.0, chi, psi);
+      this->M5D(psi, chi);
+      return(norm2(chi));
+    }
+
+    template<class Impl>
+    RealD MobiusEOFAFermion<Impl>::Mdag(const FermionField& psi, FermionField& chi)
+    {
+      int Ls = this->Ls;
+
+      FermionField Din(psi._grid);
+
+      this->DW(psi, Din, DaggerYes);
+      this->MeooeDag5D(Din, chi);
+      this->M5Ddag(psi, chi);
+      axpby(chi, 1.0, 1.0, chi, psi);
+      return(norm2(chi));
+    }
+
+    /********************************************************************
+     * Performance critical fermion operators called inside the inverter
+     ********************************************************************/
+
+    template<class Impl>
+    void MobiusEOFAFermion<Impl>::M5D(const FermionField& psi, FermionField& chi)
+    {
+      int Ls = this->Ls;
+
+      std::vector<Coeff_t> diag(Ls,1.0);
+      std::vector<Coeff_t> upper(Ls,-1.0);  upper[Ls-1] = this->mq1;
+      std::vector<Coeff_t> lower(Ls,-1.0);  lower[0]    = this->mq1;
+
+      // no shift term
+      if(this->shift == 0.0){ this->M5D(psi, chi, chi, lower, diag, upper); }
+
+      // fused M + shift operation
+      else{ this->M5D_shift(psi, chi, chi, lower, diag, upper, Mooee_shift); }
+    }
+
+    template<class Impl>
+    void MobiusEOFAFermion<Impl>::M5Ddag(const FermionField& psi, FermionField& chi)
+    {
+      int Ls = this->Ls;
+
+      std::vector<Coeff_t> diag(Ls,1.0);
+      std::vector<Coeff_t> upper(Ls,-1.0);  upper[Ls-1] = this->mq1;
+      std::vector<Coeff_t> lower(Ls,-1.0);  lower[0]    = this->mq1;
+
+      // no shift term
+      if(this->shift == 0.0){ this->M5Ddag(psi, chi, chi, lower, diag, upper); }
+
+      // fused M + shift operation
+      else{ this->M5Ddag_shift(psi, chi, chi, lower, diag, upper, Mooee_shift); }
+    }
+
+    // half checkerboard operations
+    template<class Impl>
+    void MobiusEOFAFermion<Impl>::Mooee(const FermionField& psi, FermionField& chi)
+    {
+      int Ls = this->Ls;
+
+      // coefficients of Mooee
+      std::vector<Coeff_t> diag = this->bee;
+      std::vector<Coeff_t> upper(Ls);
+      std::vector<Coeff_t> lower(Ls);
+      for(int s=0; s<Ls; s++){
+        upper[s] = -this->cee[s];
+        lower[s] = -this->cee[s];
+      }
+      upper[Ls-1] *= -this->mq1;
+      lower[0]    *= -this->mq1;
+
+      // no shift term
+      if(this->shift == 0.0){ this->M5D(psi, psi, chi, lower, diag, upper); }
+
+      // fused M + shift operation
+      else { this->M5D_shift(psi, psi, chi, lower, diag, upper, Mooee_shift); }
+    }
+
+    template<class Impl>
+    void MobiusEOFAFermion<Impl>::MooeeDag(const FermionField& psi, FermionField& chi)
+    {
+      int Ls = this->Ls;
+
+      // coefficients of MooeeDag
+      std::vector<Coeff_t> diag = this->bee;
+      std::vector<Coeff_t> upper(Ls);
+      std::vector<Coeff_t> lower(Ls);
+      for(int s=0; s<Ls; s++){
+        if(s==0) {
+          upper[s] = -this->cee[s+1];
+          lower[s] = this->mq1*this->cee[Ls-1];
+        } else if(s==(Ls-1)) {
+          upper[s] = this->mq1*this->cee[0];
+          lower[s] = -this->cee[s-1];
+        } else {
+          upper[s] = -this->cee[s+1];
+          lower[s] = -this->cee[s-1];
+        }
+      }
+
+      // no shift term
+      if(this->shift == 0.0){ this->M5Ddag(psi, psi, chi, lower, diag, upper); }
+
+      // fused M + shift operation
+      else{ this->M5Ddag_shift(psi, psi, chi, lower, diag, upper, Mooee_shift); }
+    }
+
+    /****************************************************************************************/
+
+    // Computes coefficients for applying Cayley preconditioned shift operators
+    //  (Mooee + \Delta) --> Mooee_shift
+    //  (Mooee + \Delta)^{-1} --> MooeeInv_shift_lc, MooeeInv_shift_norm
+    //  (Mooee + \Delta)^{-dag} --> MooeeInvDag_shift_lc, MooeeInvDag_shift_norm
+    // For the latter two cases, the operation takes the form
+    //  [ (Mooee + \Delta)^{-1} \psi ]_{i} = Mooee_{ij} \psi_{j} +
+    //      ( MooeeInv_shift_norm )_{i} ( \sum_{j} [ MooeeInv_shift_lc ]_{j} P_{pm} \psi_{j} )
+    template<class Impl>
+    void MobiusEOFAFermion<Impl>::SetCoefficientsPrecondShiftOps()
+    {
+      int   Ls    = this->Ls;
+      int   pm    = this->pm;
+      RealD alpha = this->alpha;
+      RealD k     = this->k;
+      RealD mq1   = this->mq1;
+      RealD shift = this->shift;
+
+      // Initialize
+      Mooee_shift.resize(Ls);
+      MooeeInv_shift_lc.resize(Ls);
+      MooeeInv_shift_norm.resize(Ls);
+      MooeeInvDag_shift_lc.resize(Ls);
+      MooeeInvDag_shift_norm.resize(Ls);
+
+      // Construct Mooee_shift
+      int idx(0);
+      Coeff_t N = ( (pm == 1) ? 1.0 : -1.0 ) * (2.0*shift*k) *
+                  ( std::pow(alpha+1.0,Ls) + mq1*std::pow(alpha-1.0,Ls) );
+      for(int s=0; s<Ls; ++s){
+        idx = (pm == 1) ? (s) : (Ls-1-s);
+        Mooee_shift[idx] = N * std::pow(-1.0,s) * std::pow(alpha-1.0,s) / std::pow(alpha+1.0,Ls+s+1);
+      }
+
+      // Tridiagonal solve for MooeeInvDag_shift_lc
+      {
+        Coeff_t m(0.0);
+        std::vector<Coeff_t> d = Mooee_shift;
+        std::vector<Coeff_t> u(Ls,0.0);
+        std::vector<Coeff_t> y(Ls,0.0);
+        std::vector<Coeff_t> q(Ls,0.0);
+        if(pm == 1){ u[0] = 1.0; }
+        else{ u[Ls-1] = 1.0; }
+
+        // Tridiagonal matrix algorithm + Sherman-Morrison formula
+        //
+        // We solve
+        //  ( Mooee' + u \otimes v ) MooeeInvDag_shift_lc = Mooee_shift
+        // where Mooee' is the tridiagonal part of Mooee_{+}, and
+        // u = (1,0,...,0) and v = (0,...,0,mq1*cee[0]) are chosen
+        // so that the outer-product u \otimes v gives the (0,Ls-1)
+        // entry of Mooee_{+}.
+        //
+        // We do this as two solves: Mooee'*y = d and Mooee'*q = u,
+        // and then construct the solution to the original system
+        //  MooeeInvDag_shift_lc = y - <v,y> / ( 1 + <v,q> ) q
+        if(pm == 1){
+          for(int s=1; s<Ls; ++s){
+            m = -this->cee[s] / this->bee[s-1];
+            d[s] -= m*d[s-1];
+            u[s] -= m*u[s-1];
+          }
+        }
+        y[Ls-1] = d[Ls-1] / this->bee[Ls-1];
+        q[Ls-1] = u[Ls-1] / this->bee[Ls-1];
+        for(int s=Ls-2; s>=0; --s){
+          if(pm == 1){
+            y[s] = d[s] / this->bee[s];
+            q[s] = u[s] / this->bee[s];
+          } else {
+            y[s] = ( d[s] + this->cee[s]*y[s+1] ) / this->bee[s];
+            q[s] = ( u[s] + this->cee[s]*q[s+1] ) / this->bee[s];
+          }
+        }
+
+        // Construct MooeeInvDag_shift_lc
+        for(int s=0; s<Ls; ++s){
+          if(pm == 1){
+            MooeeInvDag_shift_lc[s] = y[s] - mq1*this->cee[0]*y[Ls-1] /
+              (1.0+mq1*this->cee[0]*q[Ls-1]) * q[s];
+          } else {
+            MooeeInvDag_shift_lc[s] = y[s] - mq1*this->cee[Ls-1]*y[0] /
+              (1.0+mq1*this->cee[Ls-1]*q[0]) * q[s];
+          }
+        }
+
+        // Compute remaining coefficients
+        N = (pm == 1) ? (1.0 + MooeeInvDag_shift_lc[Ls-1]) : (1.0 + MooeeInvDag_shift_lc[0]);
+        for(int s=0; s<Ls; ++s){
+
+          // MooeeInv_shift_lc
+          if(pm == 1){ MooeeInv_shift_lc[s] = std::pow(this->bee[s],s) * std::pow(this->cee[s],Ls-1-s); }
+          else{ MooeeInv_shift_lc[s] = std::pow(this->bee[s],Ls-1-s) * std::pow(this->cee[s],s); }
+
+          // MooeeInv_shift_norm
+          MooeeInv_shift_norm[s] = -MooeeInvDag_shift_lc[s] /
+            ( std::pow(this->bee[s],Ls) + mq1*std::pow(this->cee[s],Ls) ) / N;
+
+          // MooeeInvDag_shift_norm
+          if(pm == 1){ MooeeInvDag_shift_norm[s] = -std::pow(this->bee[s],s) * std::pow(this->cee[s],Ls-1-s) /
+            ( std::pow(this->bee[s],Ls) + mq1*std::pow(this->cee[s],Ls) ) / N; }
+          else{ MooeeInvDag_shift_norm[s] = -std::pow(this->bee[s],Ls-1-s) * std::pow(this->cee[s],s) /
+            ( std::pow(this->bee[s],Ls) + mq1*std::pow(this->cee[s],Ls) ) / N; }
+        }
+      }
+    }
+
+    // Recompute coefficients for a different value of shift constant
+    template<class Impl>
+    void MobiusEOFAFermion<Impl>::RefreshShiftCoefficients(RealD new_shift)
+    {
+      this->shift = new_shift;
+      if(new_shift != 0.0){
+        SetCoefficientsPrecondShiftOps();
+      } else {
+        int Ls = this->Ls;
+        Mooee_shift.resize(Ls,0.0);
+        MooeeInv_shift_lc.resize(Ls,0.0);
+        MooeeInv_shift_norm.resize(Ls,0.0);
+        MooeeInvDag_shift_lc.resize(Ls,0.0);
+        MooeeInvDag_shift_norm.resize(Ls,0.0);
+      }
+    }
+
+    template<class Impl>
+    void MobiusEOFAFermion<Impl>::MooeeInternalCompute(int dag, int inv,
+      Vector<iSinglet<Simd> >& Matp, Vector<iSinglet<Simd> >& Matm)
+    {
+      int Ls = this->Ls;
+
+      GridBase* grid = this->FermionRedBlackGrid();
+      int LLs = grid->_rdimensions[0];
+
+      if(LLs == Ls){ return; } // Not vectorised in 5th direction
+
+      Eigen::MatrixXcd Pplus  = Eigen::MatrixXcd::Zero(Ls,Ls);
+      Eigen::MatrixXcd Pminus = Eigen::MatrixXcd::Zero(Ls,Ls);
+
+      for(int s=0; s<Ls; s++){
+        Pplus(s,s)  = this->bee[s];
+        Pminus(s,s) = this->bee[s];
+      }
+
+      for(int s=0; s<Ls-1; s++){
+        Pminus(s,s+1) = -this->cee[s];
+        Pplus(s+1,s) = -this->cee[s+1];
+      }
+
+      Pplus (0,Ls-1) = this->mq1*this->cee[0];
+      Pminus(Ls-1,0) = this->mq1*this->cee[Ls-1];
+
+      if(this->shift != 0.0){
+        RealD c = 0.5 * this->alpha;
+        RealD d = 0.5;
+        RealD N = this->shift * this->k * ( std::pow(c+d,Ls) + this->mq1*std::pow(c-d,Ls) );
+        if(this->pm == 1) {
+          for(int s=0; s<Ls; ++s){
+            Pplus(s,Ls-1) += N * std::pow(-1.0,s) * std::pow(c-d,s) / std::pow(c+d,Ls+s+1);
+          }
+        } else {
+          for(int s=0; s<Ls; ++s){
+            Pminus(s,0) += N * std::pow(-1.0,s+1) * std::pow(c-d,Ls-1-s) / std::pow(c+d,2*Ls-s);
+          }
+        }
+      }
+
+      Eigen::MatrixXcd PplusMat ;
+      Eigen::MatrixXcd PminusMat;
+
+      if(inv) {
+        PplusMat  = Pplus.inverse();
+        PminusMat = Pminus.inverse();
+      } else {
+        PplusMat  = Pplus;
+        PminusMat = Pminus;
+      }
+
+      if(dag){
+        PplusMat.adjointInPlace();
+        PminusMat.adjointInPlace();
+      }
+
+      typedef typename SiteHalfSpinor::scalar_type scalar_type;
+      const int Nsimd = Simd::Nsimd();
+      Matp.resize(Ls*LLs);
+      Matm.resize(Ls*LLs);
+
+      for(int s2=0; s2<Ls; s2++){
+      for(int s1=0; s1<LLs; s1++){
+        int istride = LLs;
+        int ostride = 1;
+        Simd Vp;
+        Simd Vm;
+        scalar_type *sp = (scalar_type*) &Vp;
+        scalar_type *sm = (scalar_type*) &Vm;
+        for(int l=0; l<Nsimd; l++){
+          if(switcheroo<Coeff_t>::iscomplex()) {
+            sp[l] = PplusMat (l*istride+s1*ostride,s2);
+            sm[l] = PminusMat(l*istride+s1*ostride,s2);
+          } else {
+            // if real
+            scalar_type tmp;
+            tmp = PplusMat (l*istride+s1*ostride,s2);
+            sp[l] = scalar_type(tmp.real(),tmp.real());
+            tmp = PminusMat(l*istride+s1*ostride,s2);
+            sm[l] = scalar_type(tmp.real(),tmp.real());
+          }
+        }
+        Matp[LLs*s2+s1] = Vp;
+        Matm[LLs*s2+s1] = Vm;
+      }}
+  }
+
+  FermOpTemplateInstantiate(MobiusEOFAFermion);
+  GparityFermOpTemplateInstantiate(MobiusEOFAFermion);
+
+}}

lib/qcd/action/fermion/MobiusEOFAFermion.h

@@ -0,0 +1,133 @@
+/*************************************************************************************
+
+Grid physics library, www.github.com/paboyle/Grid
+
+Source file: ./lib/qcd/action/fermion/MobiusEOFAFermion.h
+
+Copyright (C) 2017
+
+Author: Peter Boyle <pabobyle@ph.ed.ac.uk>
+Author: Peter Boyle <paboyle@ph.ed.ac.uk>
+Author: David Murphy <dmurphy@phys.columbia.edu>
+
+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 */
+#ifndef  GRID_QCD_MOBIUS_EOFA_FERMION_H
+#define  GRID_QCD_MOBIUS_EOFA_FERMION_H
+
+#include <Grid/qcd/action/fermion/AbstractEOFAFermion.h>
+
+namespace Grid {
+namespace QCD {
+
+  template<class Impl>
+  class MobiusEOFAFermion : public AbstractEOFAFermion<Impl>
+  {
+    public:
+      INHERIT_IMPL_TYPES(Impl);
+
+    public:
+      // Shift operator coefficients for red-black preconditioned Mobius EOFA
+      std::vector<Coeff_t> Mooee_shift;
+      std::vector<Coeff_t> MooeeInv_shift_lc;
+      std::vector<Coeff_t> MooeeInv_shift_norm;
+      std::vector<Coeff_t> MooeeInvDag_shift_lc;
+      std::vector<Coeff_t> MooeeInvDag_shift_norm;
+
+      virtual void Instantiatable(void) {};
+
+      // EOFA-specific operations
+      virtual void  Omega            (const FermionField& in, FermionField& out, int sign, int dag);
+      virtual void  Dtilde           (const FermionField& in, FermionField& out);
+      virtual void  DtildeInv        (const FermionField& in, FermionField& out);
+
+      // override multiply
+      virtual RealD M                (const FermionField& in, FermionField& out);
+      virtual RealD Mdag             (const FermionField& in, FermionField& out);
+
+      // half checkerboard operations
+      virtual void  Mooee            (const FermionField& in, FermionField& out);
+      virtual void  MooeeDag         (const FermionField& in, FermionField& out);
+      virtual void  MooeeInv         (const FermionField& in, FermionField& out);
+      virtual void  MooeeInv_shift   (const FermionField& in, FermionField& out);
+      virtual void  MooeeInvDag      (const FermionField& in, FermionField& out);
+      virtual void  MooeeInvDag_shift(const FermionField& in, FermionField& out);
+
+      virtual void   M5D             (const FermionField& psi, FermionField& chi);
+      virtual void   M5Ddag          (const FermionField& psi, FermionField& chi);
+
+      /////////////////////////////////////////////////////
+      // Instantiate different versions depending on Impl
+      /////////////////////////////////////////////////////
+      void M5D(const FermionField& psi, const FermionField& phi, FermionField& chi,
+        std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper);
+
+      void M5D_shift(const FermionField& psi, const FermionField& phi, FermionField& chi,
+        std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper,
+        std::vector<Coeff_t>& shift_coeffs);
+
+      void M5Ddag(const FermionField& psi, const FermionField& phi, FermionField& chi,
+        std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper);
+
+      void M5Ddag_shift(const FermionField& psi, const FermionField& phi, FermionField& chi,
+        std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper,
+        std::vector<Coeff_t>& shift_coeffs);
+
+      void MooeeInternal(const FermionField& in, FermionField& out, int dag, int inv);
+
+      void MooeeInternalCompute(int dag, int inv, Vector<iSinglet<Simd>>& Matp, Vector<iSinglet<Simd>>& Matm);
+
+      void MooeeInternalAsm(const FermionField& in, FermionField& out, int LLs, int site,
+        Vector<iSinglet<Simd>>& Matp, Vector<iSinglet<Simd>>& Matm);
+
+      void MooeeInternalZAsm(const FermionField& in, FermionField& out, int LLs, int site,
+        Vector<iSinglet<Simd>>& Matp, Vector<iSinglet<Simd>>& Matm);
+
+      virtual void RefreshShiftCoefficients(RealD new_shift);
+
+      // Constructors
+      MobiusEOFAFermion(GaugeField& _Umu, GridCartesian& FiveDimGrid, GridRedBlackCartesian& FiveDimRedBlackGrid,
+        GridCartesian& FourDimGrid, GridRedBlackCartesian& FourDimRedBlackGrid,
+        RealD _mq1, RealD _mq2, RealD _mq3, RealD _shift, int pm,
+        RealD _M5, RealD _b, RealD _c, const ImplParams& p=ImplParams());
+
+    protected:
+      void SetCoefficientsPrecondShiftOps(void);
+  };
+}}
+
+#define INSTANTIATE_DPERP_MOBIUS_EOFA(A)\
+template void MobiusEOFAFermion<A>::M5D(const FermionField& psi, const FermionField& phi, FermionField& chi, \
+  std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper); \
+template void MobiusEOFAFermion<A>::M5D_shift(const FermionField& psi, const FermionField& phi, FermionField& chi, \
+  std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper, std::vector<Coeff_t>& shift_coeffs); \
+template void MobiusEOFAFermion<A>::M5Ddag(const FermionField& psi, const FermionField& phi, FermionField& chi, \
+  std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper); \
+template void MobiusEOFAFermion<A>::M5Ddag_shift(const FermionField& psi, const FermionField& phi, FermionField& chi, \
+  std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper, std::vector<Coeff_t>& shift_coeffs); \
+template void MobiusEOFAFermion<A>::MooeeInv(const FermionField& psi, FermionField& chi); \
+template void MobiusEOFAFermion<A>::MooeeInv_shift(const FermionField& psi, FermionField& chi); \
+template void MobiusEOFAFermion<A>::MooeeInvDag(const FermionField& psi, FermionField& chi); \
+template void MobiusEOFAFermion<A>::MooeeInvDag_shift(const FermionField& psi, FermionField& chi);
+
+#undef  MOBIUS_EOFA_DPERP_DENSE
+#define MOBIUS_EOFA_DPERP_CACHE
+#undef  MOBIUS_EOFA_DPERP_LINALG
+#define MOBIUS_EOFA_DPERP_VEC
+
+#endif

lib/qcd/action/fermion/MobiusEOFAFermioncache.cc

@@ -0,0 +1,429 @@
+/*************************************************************************************
+
+Grid physics library, www.github.com/paboyle/Grid
+
+Source file: ./lib/qcd/action/fermion/MobiusEOFAFermioncache.cc
+
+Copyright (C) 2017
+
+Author: Peter Boyle <pabobyle@ph.ed.ac.uk>
+Author: Peter Boyle <paboyle@ph.ed.ac.uk>
+Author: Peter Boyle <peterboyle@Peters-MacBook-Pro-2.local>
+Author: paboyle <paboyle@ph.ed.ac.uk>
+Author: David Murphy <dmurphy@phys.columbia.edu>
+
+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/qcd/action/fermion/FermionCore.h>
+#include <Grid/qcd/action/fermion/MobiusEOFAFermion.h>
+
+namespace Grid {
+namespace QCD {
+
+  // FIXME -- make a version of these routines with site loop outermost for cache reuse.
+
+  template<class Impl>
+  void MobiusEOFAFermion<Impl>::M5D(const FermionField &psi, const FermionField &phi, FermionField &chi,
+    std::vector<Coeff_t> &lower, std::vector<Coeff_t> &diag, std::vector<Coeff_t> &upper)
+  {
+    int Ls = this->Ls;
+    GridBase *grid = psi._grid;
+
+    assert(phi.checkerboard == psi.checkerboard);
+    chi.checkerboard = psi.checkerboard;
+
+    // Flops = 6.0*(Nc*Ns) *Ls*vol
+    this->M5Dcalls++;
+    this->M5Dtime -= usecond();
+
+    parallel_for(int ss=0; ss<grid->oSites(); ss+=Ls){
+      for(int s=0; s<Ls; s++){
+        auto tmp = psi._odata[0];
+        if(s==0){
+          spProj5m(tmp, psi._odata[ss+s+1]);
+          chi[ss+s] = diag[s]*phi[ss+s] + upper[s]*tmp;
+          spProj5p(tmp, psi._odata[ss+Ls-1]);
+          chi[ss+s] = chi[ss+s] + lower[s]*tmp;
+        } else if(s==(Ls-1)) {
+          spProj5m(tmp, psi._odata[ss+0]);
+          chi[ss+s] = diag[s]*phi[ss+s] + upper[s]*tmp;
+          spProj5p(tmp, psi._odata[ss+s-1]);
+          chi[ss+s] = chi[ss+s] + lower[s]*tmp;
+        } else {
+          spProj5m(tmp, psi._odata[ss+s+1]);
+          chi[ss+s] = diag[s]*phi[ss+s] + upper[s]*tmp;
+          spProj5p(tmp, psi._odata[ss+s-1]);
+          chi[ss+s] = chi[ss+s] + lower[s]*tmp;
+        }
+      }
+    }
+
+    this->M5Dtime += usecond();
+  }
+
+  template<class Impl>
+  void MobiusEOFAFermion<Impl>::M5D_shift(const FermionField &psi, const FermionField &phi, FermionField &chi,
+    std::vector<Coeff_t> &lower, std::vector<Coeff_t> &diag, std::vector<Coeff_t> &upper,
+    std::vector<Coeff_t> &shift_coeffs)
+  {
+    int Ls = this->Ls;
+    int shift_s = (this->pm == 1) ? (Ls-1) : 0; // s-component modified by shift operator
+    GridBase *grid = psi._grid;
+
+    assert(phi.checkerboard == psi.checkerboard);
+    chi.checkerboard = psi.checkerboard;
+
+    // Flops = 6.0*(Nc*Ns) *Ls*vol
+    this->M5Dcalls++;
+    this->M5Dtime -= usecond();
+
+    parallel_for(int ss=0; ss<grid->oSites(); ss+=Ls){
+      for(int s=0; s<Ls; s++){
+        auto tmp = psi._odata[0];
+        if(s==0){
+          spProj5m(tmp, psi._odata[ss+s+1]);
+          chi[ss+s] = diag[s]*phi[ss+s] + upper[s]*tmp;
+          spProj5p(tmp, psi._odata[ss+Ls-1]);
+          chi[ss+s] = chi[ss+s] + lower[s]*tmp;
+        } else if(s==(Ls-1)) {
+          spProj5m(tmp, psi._odata[ss+0]);
+          chi[ss+s] = diag[s]*phi[ss+s] + upper[s]*tmp;
+          spProj5p(tmp, psi._odata[ss+s-1]);
+          chi[ss+s] = chi[ss+s] + lower[s]*tmp;
+        } else {
+          spProj5m(tmp, psi._odata[ss+s+1]);
+          chi[ss+s] = diag[s]*phi[ss+s] + upper[s]*tmp;
+          spProj5p(tmp, psi._odata[ss+s-1]);
+          chi[ss+s] = chi[ss+s] + lower[s]*tmp;
+        }
+        if(this->pm == 1){ spProj5p(tmp, psi._odata[ss+shift_s]); }
+        else{ spProj5m(tmp, psi._odata[ss+shift_s]); }
+        chi[ss+s] = chi[ss+s] + shift_coeffs[s]*tmp;
+      }
+    }
+
+    this->M5Dtime += usecond();
+  }
+
+  template<class Impl>
+  void MobiusEOFAFermion<Impl>::M5Ddag(const FermionField &psi, const FermionField &phi, FermionField &chi,
+    std::vector<Coeff_t> &lower, std::vector<Coeff_t> &diag, std::vector<Coeff_t> &upper)
+  {
+    int Ls = this->Ls;
+    GridBase *grid = psi._grid;
+
+    assert(phi.checkerboard == psi.checkerboard);
+    chi.checkerboard = psi.checkerboard;
+
+    // Flops = 6.0*(Nc*Ns) *Ls*vol
+    this->M5Dcalls++;
+    this->M5Dtime -= usecond();
+
+    parallel_for(int ss=0; ss<grid->oSites(); ss+=Ls){
+      auto tmp = psi._odata[0];
+      for(int s=0; s<Ls; s++){
+        if(s==0) {
+          spProj5p(tmp, psi._odata[ss+s+1]);
+          chi[ss+s] = diag[s]*phi[ss+s] + upper[s]*tmp;
+          spProj5m(tmp, psi._odata[ss+Ls-1]);
+          chi[ss+s] = chi[ss+s] + lower[s]*tmp;
+        } else if(s==(Ls-1)) {
+          spProj5p(tmp, psi._odata[ss+0]);
+          chi[ss+s] = diag[s]*phi[ss+s] + upper[s]*tmp;
+          spProj5m(tmp, psi._odata[ss+s-1]);
+          chi[ss+s] = chi[ss+s] + lower[s]*tmp;
+        } else {
+          spProj5p(tmp, psi._odata[ss+s+1]);
+          chi[ss+s] = diag[s]*phi[ss+s] + upper[s]*tmp;
+          spProj5m(tmp, psi._odata[ss+s-1]);
+          chi[ss+s] = chi[ss+s] + lower[s]*tmp;
+        }
+      }
+    }
+
+    this->M5Dtime += usecond();
+  }
+
+  template<class Impl>
+  void MobiusEOFAFermion<Impl>::M5Ddag_shift(const FermionField &psi, const FermionField &phi, FermionField &chi,
+    std::vector<Coeff_t> &lower, std::vector<Coeff_t> &diag, std::vector<Coeff_t> &upper,
+    std::vector<Coeff_t> &shift_coeffs)
+  {
+    int Ls = this->Ls;
+    int shift_s = (this->pm == 1) ? (Ls-1) : 0; // s-component modified by shift operator
+    GridBase *grid = psi._grid;
+
+    assert(phi.checkerboard == psi.checkerboard);
+    chi.checkerboard = psi.checkerboard;
+
+    // Flops = 6.0*(Nc*Ns) *Ls*vol
+    this->M5Dcalls++;
+    this->M5Dtime -= usecond();
+
+    parallel_for(int ss=0; ss<grid->oSites(); ss+=Ls){
+      chi[ss+Ls-1] = zero;
+      auto tmp = psi._odata[0];
+      for(int s=0; s<Ls; s++){
+        if(s==0) {
+          spProj5p(tmp, psi._odata[ss+s+1]);
+          chi[ss+s] = diag[s]*phi[ss+s] + upper[s]*tmp;
+          spProj5m(tmp, psi._odata[ss+Ls-1]);
+          chi[ss+s] = chi[ss+s] + lower[s]*tmp;
+        } else if(s==(Ls-1)) {
+          spProj5p(tmp, psi._odata[ss+0]);
+          chi[ss+s] = chi[ss+s] + diag[s]*phi[ss+s] + upper[s]*tmp;
+          spProj5m(tmp, psi._odata[ss+s-1]);
+          chi[ss+s] = chi[ss+s] + lower[s]*tmp;
+        } else {
+          spProj5p(tmp, psi._odata[ss+s+1]);
+          chi[ss+s] = diag[s]*phi[ss+s] + upper[s]*tmp;
+          spProj5m(tmp, psi._odata[ss+s-1]);
+          chi[ss+s] = chi[ss+s] + lower[s]*tmp;
+        }
+        if(this->pm == 1){ spProj5p(tmp, psi._odata[ss+s]); }
+        else{ spProj5m(tmp, psi._odata[ss+s]); }
+        chi[ss+shift_s] = chi[ss+shift_s] + shift_coeffs[s]*tmp;
+      }
+    }
+
+    this->M5Dtime += usecond();
+  }
+
+  template<class Impl>
+  void MobiusEOFAFermion<Impl>::MooeeInv(const FermionField &psi, FermionField &chi)
+  {
+    if(this->shift != 0.0){ MooeeInv_shift(psi,chi); return; }
+
+    GridBase *grid = psi._grid;
+    int Ls = this->Ls;
+
+    chi.checkerboard = psi.checkerboard;
+
+    this->MooeeInvCalls++;
+    this->MooeeInvTime -= usecond();
+
+    parallel_for(int ss=0; ss<grid->oSites(); ss+=Ls){
+
+      auto tmp = psi._odata[0];
+
+      // Apply (L^{\prime})^{-1}
+      chi[ss] = psi[ss]; // chi[0]=psi[0]
+      for(int s=1; s<Ls; s++){
+        spProj5p(tmp, chi[ss+s-1]);
+        chi[ss+s] = psi[ss+s] - this->lee[s-1]*tmp;
+      }
+
+      // L_m^{-1}
+      for(int s=0; s<Ls-1; s++){ // Chi[ee] = 1 - sum[s<Ls-1] -leem[s]P_- chi
+        spProj5m(tmp, chi[ss+s]);
+        chi[ss+Ls-1] = chi[ss+Ls-1] - this->leem[s]*tmp;
+      }
+
+      // U_m^{-1} D^{-1}
+      for(int s=0; s<Ls-1; s++){ // Chi[s] + 1/d chi[s]
+        spProj5p(tmp, chi[ss+Ls-1]);
+        chi[ss+s] = (1.0/this->dee[s])*chi[ss+s] - (this->ueem[s]/this->dee[Ls-1])*tmp;
+      }
+      chi[ss+Ls-1] = (1.0/this->dee[Ls-1])*chi[ss+Ls-1];
+
+      // Apply U^{-1}
+      for(int s=Ls-2; s>=0; s--){
+        spProj5m(tmp, chi[ss+s+1]);
+        chi[ss+s] = chi[ss+s] - this->uee[s]*tmp;
+      }
+    }
+
+    this->MooeeInvTime += usecond();
+  }
+
+  template<class Impl>
+  void MobiusEOFAFermion<Impl>::MooeeInv_shift(const FermionField &psi, FermionField &chi)
+  {
+    GridBase *grid = psi._grid;
+    int Ls = this->Ls;
+
+    chi.checkerboard = psi.checkerboard;
+
+    this->MooeeInvCalls++;
+    this->MooeeInvTime -= usecond();
+
+    parallel_for(int ss=0; ss<grid->oSites(); ss+=Ls){
+
+      auto tmp1        = psi._odata[0];
+      auto tmp2        = psi._odata[0];
+      auto tmp2_spProj = psi._odata[0];
+
+      // Apply (L^{\prime})^{-1} and accumulate MooeeInv_shift_lc[j]*psi[j] in tmp2
+      chi[ss] = psi[ss]; // chi[0]=psi[0]
+      tmp2 = MooeeInv_shift_lc[0]*psi[ss];
+      for(int s=1; s<Ls; s++){
+        spProj5p(tmp1, chi[ss+s-1]);
+        chi[ss+s] = psi[ss+s] - this->lee[s-1]*tmp1;
+        tmp2 = tmp2 + MooeeInv_shift_lc[s]*psi[ss+s];
+      }
+      if(this->pm == 1){ spProj5p(tmp2_spProj, tmp2);}
+      else{ spProj5m(tmp2_spProj, tmp2); }
+
+      // L_m^{-1}
+      for(int s=0; s<Ls-1; s++){ // Chi[ee] = 1 - sum[s<Ls-1] -leem[s]P_- chi
+        spProj5m(tmp1, chi[ss+s]);
+        chi[ss+Ls-1] = chi[ss+Ls-1] - this->leem[s]*tmp1;
+      }
+
+      // U_m^{-1} D^{-1}
+      for(int s=0; s<Ls-1; s++){ // Chi[s] + 1/d chi[s]
+        spProj5p(tmp1, chi[ss+Ls-1]);
+        chi[ss+s] = (1.0/this->dee[s])*chi[ss+s] - (this->ueem[s]/this->dee[Ls-1])*tmp1;
+      }
+      // chi[ss+Ls-1] = (1.0/this->dee[Ls-1])*chi[ss+Ls-1] + MooeeInv_shift_norm[Ls-1]*tmp2_spProj;
+      chi[ss+Ls-1] = (1.0/this->dee[Ls-1])*chi[ss+Ls-1];
+      spProj5m(tmp1, chi[ss+Ls-1]);
+      chi[ss+Ls-1] = chi[ss+Ls-1] + MooeeInv_shift_norm[Ls-1]*tmp2_spProj;
+
+      // Apply U^{-1} and add shift term
+      for(int s=Ls-2; s>=0; s--){
+        chi[ss+s] = chi[ss+s] - this->uee[s]*tmp1;
+        spProj5m(tmp1, chi[ss+s]);
+        chi[ss+s] = chi[ss+s] + MooeeInv_shift_norm[s]*tmp2_spProj;
+      }
+    }
+
+    this->MooeeInvTime += usecond();
+  }
+
+  template<class Impl>
+  void MobiusEOFAFermion<Impl>::MooeeInvDag(const FermionField &psi, FermionField &chi)
+  {
+    if(this->shift != 0.0){ MooeeInvDag_shift(psi,chi); return; }
+
+    GridBase *grid = psi._grid;
+    int Ls = this->Ls;
+
+    chi.checkerboard = psi.checkerboard;
+
+    this->MooeeInvCalls++;
+    this->MooeeInvTime -= usecond();
+
+    parallel_for(int ss=0; ss<grid->oSites(); ss+=Ls){
+
+      auto tmp = psi._odata[0];
+
+      // Apply (U^{\prime})^{-dag}
+      chi[ss] = psi[ss];
+      for(int s=1; s<Ls; s++){
+        spProj5m(tmp, chi[ss+s-1]);
+        chi[ss+s] = psi[ss+s] - this->uee[s-1]*tmp;
+      }
+
+      // U_m^{-\dag}
+      for(int s=0; s<Ls-1; s++){
+        spProj5p(tmp, chi[ss+s]);
+        chi[ss+Ls-1] = chi[ss+Ls-1] - this->ueem[s]*tmp;
+      }
+
+      // L_m^{-\dag} D^{-dag}
+      for(int s=0; s<Ls-1; s++){
+        spProj5m(tmp, chi[ss+Ls-1]);
+        chi[ss+s] = (1.0/this->dee[s])*chi[ss+s] - (this->leem[s]/this->dee[Ls-1])*tmp;
+      }
+      chi[ss+Ls-1] = (1.0/this->dee[Ls-1])*chi[ss+Ls-1];
+
+      // Apply L^{-dag}
+      for(int s=Ls-2; s>=0; s--){
+        spProj5p(tmp, chi[ss+s+1]);
+        chi[ss+s] = chi[ss+s] - this->lee[s]*tmp;
+      }
+    }
+
+    this->MooeeInvTime += usecond();
+  }
+
+  template<class Impl>
+  void MobiusEOFAFermion<Impl>::MooeeInvDag_shift(const FermionField &psi, FermionField &chi)
+  {
+    GridBase *grid = psi._grid;
+    int Ls = this->Ls;
+
+    chi.checkerboard = psi.checkerboard;
+
+    this->MooeeInvCalls++;
+    this->MooeeInvTime -= usecond();
+
+    parallel_for(int ss=0; ss<grid->oSites(); ss+=Ls){
+
+      auto tmp1        = psi._odata[0];
+      auto tmp2        = psi._odata[0];
+      auto tmp2_spProj = psi._odata[0];
+
+      // Apply (U^{\prime})^{-dag} and accumulate MooeeInvDag_shift_lc[j]*psi[j] in tmp2
+      chi[ss] = psi[ss];
+      tmp2 = MooeeInvDag_shift_lc[0]*psi[ss];
+      for(int s=1; s<Ls; s++){
+        spProj5m(tmp1, chi[ss+s-1]);
+        chi[ss+s] = psi[ss+s] - this->uee[s-1]*tmp1;
+        tmp2 = tmp2 + MooeeInvDag_shift_lc[s]*psi[ss+s];
+      }
+      if(this->pm == 1){ spProj5p(tmp2_spProj, tmp2);}
+      else{ spProj5m(tmp2_spProj, tmp2); }
+
+      // U_m^{-\dag}
+      for(int s=0; s<Ls-1; s++){
+        spProj5p(tmp1, chi[ss+s]);
+        chi[ss+Ls-1] = chi[ss+Ls-1] - this->ueem[s]*tmp1;
+      }
+
+      // L_m^{-\dag} D^{-dag}
+      for(int s=0; s<Ls-1; s++){
+        spProj5m(tmp1, chi[ss+Ls-1]);
+        chi[ss+s] = (1.0/this->dee[s])*chi[ss+s] - (this->leem[s]/this->dee[Ls-1])*tmp1;
+      }
+      chi[ss+Ls-1] = (1.0/this->dee[Ls-1])*chi[ss+Ls-1];
+      spProj5p(tmp1, chi[ss+Ls-1]);
+      chi[ss+Ls-1] = chi[ss+Ls-1] + MooeeInvDag_shift_norm[Ls-1]*tmp2_spProj;
+
+      // Apply L^{-dag}
+      for(int s=Ls-2; s>=0; s--){
+        chi[ss+s] = chi[ss+s] - this->lee[s]*tmp1;
+        spProj5p(tmp1, chi[ss+s]);
+        chi[ss+s] = chi[ss+s] + MooeeInvDag_shift_norm[s]*tmp2_spProj;
+      }
+    }
+
+    this->MooeeInvTime += usecond();
+  }
+
+  #ifdef MOBIUS_EOFA_DPERP_CACHE
+
+    INSTANTIATE_DPERP_MOBIUS_EOFA(WilsonImplF);
+    INSTANTIATE_DPERP_MOBIUS_EOFA(WilsonImplD);
+    INSTANTIATE_DPERP_MOBIUS_EOFA(GparityWilsonImplF);
+    INSTANTIATE_DPERP_MOBIUS_EOFA(GparityWilsonImplD);
+    INSTANTIATE_DPERP_MOBIUS_EOFA(ZWilsonImplF);
+    INSTANTIATE_DPERP_MOBIUS_EOFA(ZWilsonImplD);
+
+    INSTANTIATE_DPERP_MOBIUS_EOFA(WilsonImplFH);
+    INSTANTIATE_DPERP_MOBIUS_EOFA(WilsonImplDF);
+    INSTANTIATE_DPERP_MOBIUS_EOFA(GparityWilsonImplFH);
+    INSTANTIATE_DPERP_MOBIUS_EOFA(GparityWilsonImplDF);
+    INSTANTIATE_DPERP_MOBIUS_EOFA(ZWilsonImplFH);
+    INSTANTIATE_DPERP_MOBIUS_EOFA(ZWilsonImplDF);
+
+  #endif
+
+}}

lib/qcd/action/fermion/MobiusEOFAFermiondense.cc

@@ -0,0 +1,184 @@
+/*************************************************************************************
+
+Grid physics library, www.github.com/paboyle/Grid
+
+Source file: ./lib/qcd/action/fermion/MobiusEOFAFermiondense.cc
+
+Copyright (C) 2017
+
+Author: Peter Boyle <pabobyle@ph.ed.ac.uk>
+Author: Peter Boyle <paboyle@ph.ed.ac.uk>
+Author: Peter Boyle <peterboyle@Peters-MacBook-Pro-2.local>
+Author: paboyle <paboyle@ph.ed.ac.uk>
+Author: David Murphy <dmurphy@phys.columbia.edu>
+
+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_Eigen_Dense.h>
+#include <Grid/qcd/action/fermion/FermionCore.h>
+#include <Grid/qcd/action/fermion/MobiusEOFAFermion.h>
+
+namespace Grid {
+namespace QCD {
+
+  /*
+  * Dense matrix versions of routines
+  */
+  template<class Impl>
+  void MobiusEOFAFermion<Impl>::MooeeInv(const FermionField& psi, FermionField& chi)
+  {
+    this->MooeeInternal(psi, chi, DaggerNo, InverseYes);
+  }
+
+  template<class Impl>
+  void MobiusEOFAFermion<Impl>::MooeeInv_shift(const FermionField& psi, FermionField& chi)
+  {
+    this->MooeeInternal(psi, chi, DaggerNo, InverseYes);
+  }
+
+  template<class Impl>
+  void MobiusEOFAFermion<Impl>::MooeeInvDag(const FermionField& psi, FermionField& chi)
+  {
+    this->MooeeInternal(psi, chi, DaggerYes, InverseYes);
+  }
+
+  template<class Impl>
+  void MobiusEOFAFermion<Impl>::MooeeInvDag_shift(const FermionField& psi, FermionField& chi)
+  {
+    this->MooeeInternal(psi, chi, DaggerYes, InverseYes);
+  }
+
+  template<class Impl>
+  void MobiusEOFAFermion<Impl>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv)
+  {
+    int Ls = this->Ls;
+    int LLs = psi._grid->_rdimensions[0];
+    int vol = psi._grid->oSites()/LLs;
+
+    int pm      = this->pm;
+    RealD shift = this->shift;
+    RealD alpha = this->alpha;
+    RealD k     = this->k;
+    RealD mq1   = this->mq1;
+
+    chi.checkerboard = psi.checkerboard;
+
+    assert(Ls==LLs);
+
+    Eigen::MatrixXd Pplus  = Eigen::MatrixXd::Zero(Ls,Ls);
+    Eigen::MatrixXd Pminus = Eigen::MatrixXd::Zero(Ls,Ls);
+
+    for(int s=0;s<Ls;s++){
+        Pplus(s,s)  = this->bee[s];
+        Pminus(s,s) = this->bee[s];
+    }
+
+    for(int s=0; s<Ls-1; s++){
+        Pminus(s,s+1) = -this->cee[s];
+    }
+
+    for(int s=0; s<Ls-1; s++){
+        Pplus(s+1,s) = -this->cee[s+1];
+    }
+    Pplus (0,Ls-1) = mq1*this->cee[0];
+    Pminus(Ls-1,0) = mq1*this->cee[Ls-1];
+
+    if(shift != 0.0){
+      Coeff_t N = 2.0 * ( std::pow(alpha+1.0,Ls) + mq1*std::pow(alpha-1.0,Ls) );
+      for(int s=0; s<Ls; ++s){
+        if(pm == 1){ Pplus(s,Ls-1) += shift * k * N * std::pow(-1.0,s) * std::pow(alpha-1.0,s) / std::pow(alpha+1.0,Ls+s+1); }
+        else{ Pminus(Ls-1-s,Ls-1) -= shift * k * N * std::pow(-1.0,s) * std::pow(alpha-1.0,s) / std::pow(alpha+1.0,Ls+s+1); }
+      }
+    }
+
+    Eigen::MatrixXd PplusMat ;
+    Eigen::MatrixXd PminusMat;
+
+    if(inv){
+      PplusMat  = Pplus.inverse();
+      PminusMat = Pminus.inverse();
+    } else {
+      PplusMat  = Pplus;
+      PminusMat = Pminus;
+    }
+
+    if(dag){
+      PplusMat.adjointInPlace();
+      PminusMat.adjointInPlace();
+    }
+
+    // For the non-vectorised s-direction this is simple
+
+    for(auto site=0; site<vol; site++){
+
+        SiteSpinor     SiteChi;
+        SiteHalfSpinor SitePplus;
+        SiteHalfSpinor SitePminus;
+
+        for(int s1=0; s1<Ls; s1++){
+            SiteChi = zero;
+            for(int s2=0; s2<Ls; s2++){
+                int lex2 = s2 + Ls*site;
+                if(PplusMat(s1,s2) != 0.0){
+                    spProj5p(SitePplus,psi[lex2]);
+                    accumRecon5p(SiteChi, PplusMat(s1,s2)*SitePplus);
+                }
+                if(PminusMat(s1,s2) != 0.0){
+                    spProj5m(SitePminus, psi[lex2]);
+                    accumRecon5m(SiteChi, PminusMat(s1,s2)*SitePminus);
+                }
+            }
+            chi[s1+Ls*site] = SiteChi*0.5;
+        }
+    }
+  }
+
+  #ifdef MOBIUS_EOFA_DPERP_DENSE
+
+    INSTANTIATE_DPERP_MOBIUS_EOFA(GparityWilsonImplF);
+    INSTANTIATE_DPERP_MOBIUS_EOFA(GparityWilsonImplD);
+    INSTANTIATE_DPERP_MOBIUS_EOFA(WilsonImplF);
+    INSTANTIATE_DPERP_MOBIUS_EOFA(WilsonImplD);
+    INSTANTIATE_DPERP_MOBIUS_EOFA(ZWilsonImplF);
+    INSTANTIATE_DPERP_MOBIUS_EOFA(ZWilsonImplD);
+
+    template void MobiusEOFAFermion<GparityWilsonImplF>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
+    template void MobiusEOFAFermion<GparityWilsonImplD>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
+    template void MobiusEOFAFermion<WilsonImplF>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
+    template void MobiusEOFAFermion<WilsonImplD>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
+    template void MobiusEOFAFermion<ZWilsonImplF>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
+    template void MobiusEOFAFermion<ZWilsonImplD>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
+
+    INSTANTIATE_DPERP_MOBIUS_EOFA(GparityWilsonImplFH);
+    INSTANTIATE_DPERP_MOBIUS_EOFA(GparityWilsonImplDF);
+    INSTANTIATE_DPERP_MOBIUS_EOFA(WilsonImplFH);
+    INSTANTIATE_DPERP_MOBIUS_EOFA(WilsonImplDF);
+    INSTANTIATE_DPERP_MOBIUS_EOFA(ZWilsonImplFH);
+    INSTANTIATE_DPERP_MOBIUS_EOFA(ZWilsonImplDF);
+
+    template void MobiusEOFAFermion<GparityWilsonImplFH>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
+    template void MobiusEOFAFermion<GparityWilsonImplDF>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
+    template void MobiusEOFAFermion<WilsonImplFH>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
+    template void MobiusEOFAFermion<WilsonImplDF>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
+    template void MobiusEOFAFermion<ZWilsonImplFH>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
+    template void MobiusEOFAFermion<ZWilsonImplDF>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
+
+  #endif
+
+}}

lib/qcd/action/fermion/MobiusEOFAFermionssp.cc

@@ -0,0 +1,290 @@
+/*************************************************************************************
+
+Grid physics library, www.github.com/paboyle/Grid
+
+Source file: ./lib/qcd/action/fermion/MobiusEOFAFermionssp.cc
+
+Copyright (C) 2017
+
+Author: Peter Boyle <pabobyle@ph.ed.ac.uk>
+Author: Peter Boyle <paboyle@ph.ed.ac.uk>
+Author: Peter Boyle <peterboyle@Peters-MacBook-Pro-2.local>
+Author: paboyle <paboyle@ph.ed.ac.uk>
+Author: David Murphy <dmurphy@phys.columbia.edu>
+
+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/qcd/action/fermion/FermionCore.h>
+#include <Grid/qcd/action/fermion/MobiusEOFAFermion.h>
+
+namespace Grid {
+namespace QCD {
+
+  // FIXME -- make a version of these routines with site loop outermost for cache reuse.
+  // Pminus fowards
+  // Pplus  backwards
+  template<class Impl>
+  void MobiusEOFAFermion<Impl>::M5D(const FermionField& psi, const FermionField& phi,
+    FermionField& chi, std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper)
+  {
+    Coeff_t one(1.0);
+    int Ls = this->Ls;
+    for(int s=0; s<Ls; s++){
+      if(s==0) {
+        axpby_ssp_pminus(chi, diag[s], phi, upper[s], psi, s, s+1);
+        axpby_ssp_pplus (chi, one, chi, lower[s], psi, s, Ls-1);
+      } else if (s==(Ls-1)) {
+        axpby_ssp_pminus(chi, diag[s], phi, upper[s], psi, s, 0);
+        axpby_ssp_pplus (chi, one, chi, lower[s], psi, s, s-1);
+      } else {
+        axpby_ssp_pminus(chi, diag[s], phi, upper[s], psi, s, s+1);
+        axpby_ssp_pplus(chi, one, chi, lower[s], psi, s, s-1);
+      }
+    }
+  }
+
+  template<class Impl>
+  void MobiusEOFAFermion<Impl>::M5D_shift(const FermionField& psi, const FermionField& phi,
+    FermionField& chi, std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper,
+    std::vector<Coeff_t>& shift_coeffs)
+  {
+    Coeff_t one(1.0);
+    int Ls = this->Ls;
+    for(int s=0; s<Ls; s++){
+      if(s==0) {
+        axpby_ssp_pminus(chi, diag[s], phi, upper[s], psi, s, s+1);
+        axpby_ssp_pplus (chi, one, chi, lower[s], psi, s, Ls-1);
+      } else if (s==(Ls-1)) {
+        axpby_ssp_pminus(chi, diag[s], phi, upper[s], psi, s, 0);
+        axpby_ssp_pplus (chi, one, chi, lower[s], psi, s, s-1);
+      } else {
+        axpby_ssp_pminus(chi, diag[s], phi, upper[s], psi, s, s+1);
+        axpby_ssp_pplus(chi, one, chi, lower[s], psi, s, s-1);
+      }
+      if(this->pm == 1){ axpby_ssp_pplus(chi, one, chi, shift_coeffs[s], psi, s, Ls-1); }
+      else{ axpby_ssp_pminus(chi, one, chi, shift_coeffs[s], psi, s, 0); }
+    }
+  }
+
+  template<class Impl>
+  void MobiusEOFAFermion<Impl>::M5Ddag(const FermionField& psi, const FermionField& phi,
+    FermionField& chi, std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper)
+  {
+    Coeff_t one(1.0);
+    int Ls = this->Ls;
+    for(int s=0; s<Ls; s++){
+      if(s==0) {
+        axpby_ssp_pplus (chi, diag[s], phi, upper[s], psi, s, s+1);
+        axpby_ssp_pminus(chi, one, chi, lower[s], psi, s, Ls-1);
+      } else if (s==(Ls-1)) {
+        axpby_ssp_pplus (chi, diag[s], phi, upper[s], psi, s, 0);
+        axpby_ssp_pminus(chi, one, chi, lower[s], psi, s, s-1);
+      } else {
+        axpby_ssp_pplus (chi, diag[s], phi, upper[s], psi, s, s+1);
+        axpby_ssp_pminus(chi, one, chi, lower[s], psi, s, s-1);
+      }
+    }
+  }
+
+  template<class Impl>
+  void MobiusEOFAFermion<Impl>::M5Ddag_shift(const FermionField& psi, const FermionField& phi,
+    FermionField& chi, std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper,
+    std::vector<Coeff_t>& shift_coeffs)
+  {
+    Coeff_t one(1.0);
+    int Ls = this->Ls;
+    for(int s=0; s<Ls; s++){
+      if(s==0) {
+        axpby_ssp_pplus (chi, diag[s], phi, upper[s], psi, s, s+1);
+        axpby_ssp_pminus(chi, one, chi, lower[s], psi, s, Ls-1);
+      } else if (s==(Ls-1)) {
+        axpby_ssp_pplus (chi, diag[s], phi, upper[s], psi, s, 0);
+        axpby_ssp_pminus(chi, one, chi, lower[s], psi, s, s-1);
+      } else {
+        axpby_ssp_pplus (chi, diag[s], phi, upper[s], psi, s, s+1);
+        axpby_ssp_pminus(chi, one, chi, lower[s], psi, s, s-1);
+      }
+      if(this->pm == 1){ axpby_ssp_pplus(chi, one, chi, shift_coeffs[s], psi, Ls-1, s); }
+      else{ axpby_ssp_pminus(chi, one, chi, shift_coeffs[s], psi, 0, s); }
+    }
+  }
+
+  template<class Impl>
+  void MobiusEOFAFermion<Impl>::MooeeInv(const FermionField& psi, FermionField& chi)
+  {
+    if(this->shift != 0.0){ MooeeInv_shift(psi,chi); return; }
+
+    Coeff_t one(1.0);
+    Coeff_t czero(0.0);
+    chi.checkerboard = psi.checkerboard;
+    int Ls = this->Ls;
+
+    // Apply (L^{\prime})^{-1}
+    axpby_ssp(chi, one, psi, czero, psi, 0, 0);      // chi[0]=psi[0]
+    for(int s=1; s<Ls; s++){
+      axpby_ssp_pplus(chi, one, psi, -this->lee[s-1], chi, s, s-1);// recursion Psi[s] -lee P_+ chi[s-1]
+    }
+
+    // L_m^{-1}
+    for(int s=0; s<Ls-1; s++){ // Chi[ee] = 1 - sum[s<Ls-1] -leem[s]P_- chi
+      axpby_ssp_pminus(chi, one, chi, -this->leem[s], chi, Ls-1, s);
+    }
+
+    // U_m^{-1} D^{-1}
+    for(int s=0; s<Ls-1; s++){
+      axpby_ssp_pplus(chi, one/this->dee[s], chi, -this->ueem[s]/this->dee[Ls-1], chi, s, Ls-1);
+    }
+    axpby_ssp(chi, one/this->dee[Ls-1], chi, czero, chi, Ls-1, Ls-1);
+
+    // Apply U^{-1}
+    for(int s=Ls-2; s>=0; s--){
+      axpby_ssp_pminus(chi, one, chi, -this->uee[s], chi, s, s+1);  // chi[Ls]
+    }
+  }
+
+  template<class Impl>
+  void MobiusEOFAFermion<Impl>::MooeeInv_shift(const FermionField& psi, FermionField& chi)
+  {
+    Coeff_t one(1.0);
+    Coeff_t czero(0.0);
+    chi.checkerboard = psi.checkerboard;
+    int Ls = this->Ls;
+
+    FermionField tmp(psi._grid);
+
+    // Apply (L^{\prime})^{-1}
+    axpby_ssp(chi, one, psi, czero, psi, 0, 0);      // chi[0]=psi[0]
+    axpby_ssp(tmp, czero, tmp, this->MooeeInv_shift_lc[0], psi, 0, 0);
+    for(int s=1; s<Ls; s++){
+      axpby_ssp_pplus(chi, one, psi, -this->lee[s-1], chi, s, s-1);// recursion Psi[s] -lee P_+ chi[s-1]
+      axpby_ssp(tmp, one, tmp, this->MooeeInv_shift_lc[s], psi, 0, s);
+    }
+
+    // L_m^{-1}
+    for(int s=0; s<Ls-1; s++){ // Chi[ee] = 1 - sum[s<Ls-1] -leem[s]P_- chi
+      axpby_ssp_pminus(chi, one, chi, -this->leem[s], chi, Ls-1, s);
+    }
+
+    // U_m^{-1} D^{-1}
+    for(int s=0; s<Ls-1; s++){
+      axpby_ssp_pplus(chi, one/this->dee[s], chi, -this->ueem[s]/this->dee[Ls-1], chi, s, Ls-1);
+    }
+    axpby_ssp(chi, one/this->dee[Ls-1], chi, czero, chi, Ls-1, Ls-1);
+
+    // Apply U^{-1} and add shift term
+    if(this->pm == 1){ axpby_ssp_pplus(chi, one, chi, this->MooeeInv_shift_norm[Ls-1], tmp, Ls-1, 0); }
+    else{ axpby_ssp_pminus(chi, one, chi, this->MooeeInv_shift_norm[Ls-1], tmp, Ls-1, 0); }
+    for(int s=Ls-2; s>=0; s--){
+      axpby_ssp_pminus(chi, one, chi, -this->uee[s], chi, s, s+1);  // chi[Ls]
+      if(this->pm == 1){ axpby_ssp_pplus(chi, one, chi, this->MooeeInv_shift_norm[s], tmp, s, 0); }
+      else{ axpby_ssp_pminus(chi, one, chi, this->MooeeInv_shift_norm[s], tmp, s, 0); }
+    }
+  }
+
+  template<class Impl>
+  void MobiusEOFAFermion<Impl>::MooeeInvDag(const FermionField& psi, FermionField& chi)
+  {
+    if(this->shift != 0.0){ MooeeInvDag_shift(psi,chi); return; }
+
+    Coeff_t one(1.0);
+    Coeff_t czero(0.0);
+    chi.checkerboard = psi.checkerboard;
+    int Ls = this->Ls;
+
+    // Apply (U^{\prime})^{-dagger}
+    axpby_ssp(chi, one, psi, czero, psi, 0, 0);      // chi[0]=psi[0]
+    for(int s=1; s<Ls; s++){
+      axpby_ssp_pminus(chi, one, psi, -conjugate(this->uee[s-1]), chi, s, s-1);
+    }
+
+    // U_m^{-\dagger}
+    for(int s=0; s<Ls-1; s++){
+      axpby_ssp_pplus(chi, one, chi, -conjugate(this->ueem[s]), chi, Ls-1, s);
+    }
+
+    // L_m^{-\dagger} D^{-dagger}
+    for(int s=0; s<Ls-1; s++){
+      axpby_ssp_pminus(chi, one/conjugate(this->dee[s]), chi, -conjugate(this->leem[s]/this->dee[Ls-1]), chi, s, Ls-1);
+    }
+    axpby_ssp(chi, one/conjugate(this->dee[Ls-1]), chi, czero, chi, Ls-1, Ls-1);
+
+    // Apply L^{-dagger}
+    for(int s=Ls-2; s>=0; s--){
+      axpby_ssp_pplus(chi, one, chi, -conjugate(this->lee[s]), chi, s, s+1);  // chi[Ls]
+    }
+  }
+
+  template<class Impl>
+  void MobiusEOFAFermion<Impl>::MooeeInvDag_shift(const FermionField& psi, FermionField& chi)
+  {
+    Coeff_t one(1.0);
+    Coeff_t czero(0.0);
+    chi.checkerboard = psi.checkerboard;
+    int Ls = this->Ls;
+
+    FermionField tmp(psi._grid);
+
+    // Apply (U^{\prime})^{-dagger} and accumulate (MooeeInvDag_shift_lc)_{j} \psi_{j} in tmp[0]
+    axpby_ssp(chi, one, psi, czero, psi, 0, 0);      // chi[0]=psi[0]
+    axpby_ssp(tmp, czero, tmp, this->MooeeInvDag_shift_lc[0], psi, 0, 0);
+    for(int s=1; s<Ls; s++){
+      axpby_ssp_pminus(chi, one, psi, -conjugate(this->uee[s-1]), chi, s, s-1);
+      axpby_ssp(tmp, one, tmp, this->MooeeInvDag_shift_lc[s], psi, 0, s);
+    }
+
+    // U_m^{-\dagger}
+    for(int s=0; s<Ls-1; s++){
+      axpby_ssp_pplus(chi, one, chi, -conjugate(this->ueem[s]), chi, Ls-1, s);
+    }
+
+    // L_m^{-\dagger} D^{-dagger}
+    for(int s=0; s<Ls-1; s++){
+      axpby_ssp_pminus(chi, one/conjugate(this->dee[s]), chi, -conjugate(this->leem[s]/this->dee[Ls-1]), chi, s, Ls-1);
+    }
+    axpby_ssp(chi, one/conjugate(this->dee[Ls-1]), chi, czero, chi, Ls-1, Ls-1);
+
+    // Apply L^{-dagger} and add shift
+    if(this->pm == 1){ axpby_ssp_pplus(chi, one, chi, this->MooeeInvDag_shift_norm[Ls-1], tmp, Ls-1, 0); }
+    else{ axpby_ssp_pminus(chi, one, chi, this->MooeeInvDag_shift_norm[Ls-1], tmp, Ls-1, 0); }
+    for(int s=Ls-2; s>=0; s--){
+      axpby_ssp_pplus(chi, one, chi, -conjugate(this->lee[s]), chi, s, s+1);  // chi[Ls]
+      if(this->pm == 1){ axpby_ssp_pplus(chi, one, chi, this->MooeeInvDag_shift_norm[s], tmp, s, 0); }
+      else{ axpby_ssp_pminus(chi, one, chi, this->MooeeInvDag_shift_norm[s], tmp, s, 0); }
+    }
+  }
+
+  #ifdef MOBIUS_EOFA_DPERP_LINALG
+
+    INSTANTIATE_DPERP_MOBIUS_EOFA(WilsonImplF);
+    INSTANTIATE_DPERP_MOBIUS_EOFA(WilsonImplD);
+    INSTANTIATE_DPERP_MOBIUS_EOFA(GparityWilsonImplF);
+    INSTANTIATE_DPERP_MOBIUS_EOFA(GparityWilsonImplD);
+    INSTANTIATE_DPERP_MOBIUS_EOFA(ZWilsonImplF);
+    INSTANTIATE_DPERP_MOBIUS_EOFA(ZWilsonImplD);
+
+    INSTANTIATE_DPERP_MOBIUS_EOFA(WilsonImplFH);
+    INSTANTIATE_DPERP_MOBIUS_EOFA(WilsonImplDF);
+    INSTANTIATE_DPERP_MOBIUS_EOFA(GparityWilsonImplFH);
+    INSTANTIATE_DPERP_MOBIUS_EOFA(GparityWilsonImplDF);
+    INSTANTIATE_DPERP_MOBIUS_EOFA(ZWilsonImplFH);
+    INSTANTIATE_DPERP_MOBIUS_EOFA(ZWilsonImplDF);
+
+  #endif
+
+}}

lib/qcd/action/fermion/MobiusEOFAFermionvec.cc

@@ -0,0 +1,983 @@
+/*************************************************************************************
+
+Grid physics library, www.github.com/paboyle/Grid
+
+Source file: ./lib/qcd/action/fermion/MobiusEOFAFermionvec.cc
+
+Copyright (C) 2017
+
+Author: Peter Boyle <pabobyle@ph.ed.ac.uk>
+Author: Peter Boyle <paboyle@ph.ed.ac.uk>
+Author: Peter Boyle <peterboyle@Peters-MacBook-Pro-2.local>
+Author: paboyle <paboyle@ph.ed.ac.uk>
+Author: David Murphy <dmurphy@phys.columbia.edu>
+
+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/qcd/action/fermion/FermionCore.h>
+#include <Grid/qcd/action/fermion/MobiusEOFAFermion.h>
+
+namespace Grid {
+namespace QCD {
+
+  /*
+  * Dense matrix versions of routines
+  */
+  template<class Impl>
+  void MobiusEOFAFermion<Impl>::MooeeInv(const FermionField& psi, FermionField& chi)
+  {
+    this->MooeeInternal(psi, chi, DaggerNo, InverseYes);
+  }
+
+  template<class Impl>
+  void MobiusEOFAFermion<Impl>::MooeeInv_shift(const FermionField& psi, FermionField& chi)
+  {
+    this->MooeeInternal(psi, chi, DaggerNo, InverseYes);
+  }
+
+  template<class Impl>
+  void MobiusEOFAFermion<Impl>::MooeeInvDag(const FermionField& psi, FermionField& chi)
+  {
+    this->MooeeInternal(psi, chi, DaggerYes, InverseYes);
+  }
+
+  template<class Impl>
+  void MobiusEOFAFermion<Impl>::MooeeInvDag_shift(const FermionField& psi, FermionField& chi)
+  {
+    this->MooeeInternal(psi, chi, DaggerYes, InverseYes);
+  }
+
+  template<class Impl>
+  void MobiusEOFAFermion<Impl>::M5D(const FermionField& psi, const FermionField& phi,
+    FermionField& chi, std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper)
+  {
+    GridBase* grid  = psi._grid;
+    int Ls          = this->Ls;
+    int LLs         = grid->_rdimensions[0];
+    const int nsimd = Simd::Nsimd();
+
+    Vector<iSinglet<Simd>> u(LLs);
+    Vector<iSinglet<Simd>> l(LLs);
+    Vector<iSinglet<Simd>> d(LLs);
+
+    assert(Ls/LLs == nsimd);
+    assert(phi.checkerboard == psi.checkerboard);
+
+    chi.checkerboard = psi.checkerboard;
+
+    // just directly address via type pun
+    typedef typename Simd::scalar_type scalar_type;
+    scalar_type* u_p = (scalar_type*) &u[0];
+    scalar_type* l_p = (scalar_type*) &l[0];
+    scalar_type* d_p = (scalar_type*) &d[0];
+
+    for(int o=0; o<LLs; o++){ // outer
+    for(int i=0; i<nsimd; i++){ //inner
+      int s   = o + i*LLs;
+      int ss  = o*nsimd + i;
+      u_p[ss] = upper[s];
+      l_p[ss] = lower[s];
+      d_p[ss] = diag[s];
+    }}
+
+    this->M5Dcalls++;
+    this->M5Dtime -= usecond();
+
+    assert(Nc == 3);
+
+    parallel_for(int ss=0; ss<grid->oSites(); ss+=LLs){ // adds LLs
+
+      #if 0
+
+        alignas(64) SiteHalfSpinor hp;
+        alignas(64) SiteHalfSpinor hm;
+        alignas(64) SiteSpinor fp;
+        alignas(64) SiteSpinor fm;
+
+        for(int v=0; v<LLs; v++){
+
+          int vp = (v+1)%LLs;
+          int vm = (v+LLs-1)%LLs;
+
+          spProj5m(hp, psi[ss+vp]);
+          spProj5p(hm, psi[ss+vm]);
+
+          if (vp <= v){ rotate(hp, hp, 1); }
+          if (vm >= v){ rotate(hm, hm, nsimd-1); }
+
+          hp = 0.5*hp;
+          hm = 0.5*hm;
+
+          spRecon5m(fp, hp);
+          spRecon5p(fm, hm);
+
+          chi[ss+v] = d[v]*phi[ss+v];
+          chi[ss+v] = chi[ss+v] + u[v]*fp;
+          chi[ss+v] = chi[ss+v] + l[v]*fm;
+
+        }
+
+      #else
+
+        for(int v=0; v<LLs; v++){
+
+          vprefetch(psi[ss+v+LLs]);
+
+          int vp = (v == LLs-1) ? 0     : v+1;
+          int vm = (v == 0)     ? LLs-1 : v-1;
+
+          Simd hp_00 = psi[ss+vp]()(2)(0);
+          Simd hp_01 = psi[ss+vp]()(2)(1);
+          Simd hp_02 = psi[ss+vp]()(2)(2);
+          Simd hp_10 = psi[ss+vp]()(3)(0);
+          Simd hp_11 = psi[ss+vp]()(3)(1);
+          Simd hp_12 = psi[ss+vp]()(3)(2);
+
+          Simd hm_00 = psi[ss+vm]()(0)(0);
+          Simd hm_01 = psi[ss+vm]()(0)(1);
+          Simd hm_02 = psi[ss+vm]()(0)(2);
+          Simd hm_10 = psi[ss+vm]()(1)(0);
+          Simd hm_11 = psi[ss+vm]()(1)(1);
+          Simd hm_12 = psi[ss+vm]()(1)(2);
+
+          if(vp <= v){
+            hp_00.v = Optimization::Rotate::tRotate<2>(hp_00.v);
+            hp_01.v = Optimization::Rotate::tRotate<2>(hp_01.v);
+            hp_02.v = Optimization::Rotate::tRotate<2>(hp_02.v);
+            hp_10.v = Optimization::Rotate::tRotate<2>(hp_10.v);
+            hp_11.v = Optimization::Rotate::tRotate<2>(hp_11.v);
+            hp_12.v = Optimization::Rotate::tRotate<2>(hp_12.v);
+          }
+
+          if(vm >= v){
+            hm_00.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_00.v);
+            hm_01.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_01.v);
+            hm_02.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_02.v);
+            hm_10.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_10.v);
+            hm_11.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_11.v);
+            hm_12.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_12.v);
+          }
+
+          // Can force these to real arithmetic and save 2x.
+          Simd p_00 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(0)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_00);
+          Simd p_01 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(1)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_01);
+          Simd p_02 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(2)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_02);
+          Simd p_10 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(0)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_10);
+          Simd p_11 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(1)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_11);
+          Simd p_12 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(2)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_12);
+          Simd p_20 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(0)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_00);
+          Simd p_21 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(1)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_01);
+          Simd p_22 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(2)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_02);
+          Simd p_30 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(3)(0)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_10);
+          Simd p_31 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(3)(1)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_11);
+          Simd p_32 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(3)(2)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_12);
+
+          vstream(chi[ss+v]()(0)(0), p_00);
+          vstream(chi[ss+v]()(0)(1), p_01);
+          vstream(chi[ss+v]()(0)(2), p_02);
+          vstream(chi[ss+v]()(1)(0), p_10);
+          vstream(chi[ss+v]()(1)(1), p_11);
+          vstream(chi[ss+v]()(1)(2), p_12);
+          vstream(chi[ss+v]()(2)(0), p_20);
+          vstream(chi[ss+v]()(2)(1), p_21);
+          vstream(chi[ss+v]()(2)(2), p_22);
+          vstream(chi[ss+v]()(3)(0), p_30);
+          vstream(chi[ss+v]()(3)(1), p_31);
+          vstream(chi[ss+v]()(3)(2), p_32);
+        }
+
+      #endif
+    }
+
+    this->M5Dtime += usecond();
+  }
+
+  template<class Impl>
+  void MobiusEOFAFermion<Impl>::M5D_shift(const FermionField& psi, const FermionField& phi,
+    FermionField& chi, std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper,
+    std::vector<Coeff_t>& shift_coeffs)
+  {
+    #if 0
+
+      this->M5D(psi, phi, chi, lower, diag, upper);
+
+      // FIXME: possible gain from vectorizing shift operation as well?
+      Coeff_t one(1.0);
+      int Ls = this->Ls;
+      for(int s=0; s<Ls; s++){
+        if(this->pm == 1){ axpby_ssp_pplus(chi, one, chi, shift_coeffs[s], psi, s, Ls-1); }
+        else{ axpby_ssp_pminus(chi, one, chi, shift_coeffs[s], psi, s, 0); }
+      }
+
+    #else
+
+      GridBase* grid  = psi._grid;
+      int Ls          = this->Ls;
+      int LLs         = grid->_rdimensions[0];
+      const int nsimd = Simd::Nsimd();
+
+      Vector<iSinglet<Simd>> u(LLs);
+      Vector<iSinglet<Simd>> l(LLs);
+      Vector<iSinglet<Simd>> d(LLs);
+      Vector<iSinglet<Simd>> s(LLs);
+
+      assert(Ls/LLs == nsimd);
+      assert(phi.checkerboard == psi.checkerboard);
+
+      chi.checkerboard = psi.checkerboard;
+
+      // just directly address via type pun
+      typedef typename Simd::scalar_type scalar_type;
+      scalar_type* u_p = (scalar_type*) &u[0];
+      scalar_type* l_p = (scalar_type*) &l[0];
+      scalar_type* d_p = (scalar_type*) &d[0];
+      scalar_type* s_p = (scalar_type*) &s[0];
+
+      for(int o=0; o<LLs; o++){ // outer
+      for(int i=0; i<nsimd; i++){ //inner
+        int s   = o + i*LLs;
+        int ss  = o*nsimd + i;
+        u_p[ss] = upper[s];
+        l_p[ss] = lower[s];
+        d_p[ss] = diag[s];
+        s_p[ss] = shift_coeffs[s];
+      }}
+
+      this->M5Dcalls++;
+      this->M5Dtime -= usecond();
+
+      assert(Nc == 3);
+
+      parallel_for(int ss=0; ss<grid->oSites(); ss+=LLs){ // adds LLs
+
+        int vs     = (this->pm == 1) ? LLs-1 : 0;
+        Simd hs_00 = (this->pm == 1) ? psi[ss+vs]()(2)(0) : psi[ss+vs]()(0)(0);
+        Simd hs_01 = (this->pm == 1) ? psi[ss+vs]()(2)(1) : psi[ss+vs]()(0)(1);
+        Simd hs_02 = (this->pm == 1) ? psi[ss+vs]()(2)(2) : psi[ss+vs]()(0)(2);
+        Simd hs_10 = (this->pm == 1) ? psi[ss+vs]()(3)(0) : psi[ss+vs]()(1)(0);
+        Simd hs_11 = (this->pm == 1) ? psi[ss+vs]()(3)(1) : psi[ss+vs]()(1)(1);
+        Simd hs_12 = (this->pm == 1) ? psi[ss+vs]()(3)(2) : psi[ss+vs]()(1)(2);
+
+        for(int v=0; v<LLs; v++){
+
+          vprefetch(psi[ss+v+LLs]);
+
+          int vp = (v == LLs-1) ? 0     : v+1;
+          int vm = (v == 0)     ? LLs-1 : v-1;
+
+          Simd hp_00 = psi[ss+vp]()(2)(0);
+          Simd hp_01 = psi[ss+vp]()(2)(1);
+          Simd hp_02 = psi[ss+vp]()(2)(2);
+          Simd hp_10 = psi[ss+vp]()(3)(0);
+          Simd hp_11 = psi[ss+vp]()(3)(1);
+          Simd hp_12 = psi[ss+vp]()(3)(2);
+
+          Simd hm_00 = psi[ss+vm]()(0)(0);
+          Simd hm_01 = psi[ss+vm]()(0)(1);
+          Simd hm_02 = psi[ss+vm]()(0)(2);
+          Simd hm_10 = psi[ss+vm]()(1)(0);
+          Simd hm_11 = psi[ss+vm]()(1)(1);
+          Simd hm_12 = psi[ss+vm]()(1)(2);
+
+          if(vp <= v){
+            hp_00.v = Optimization::Rotate::tRotate<2>(hp_00.v);
+            hp_01.v = Optimization::Rotate::tRotate<2>(hp_01.v);
+            hp_02.v = Optimization::Rotate::tRotate<2>(hp_02.v);
+            hp_10.v = Optimization::Rotate::tRotate<2>(hp_10.v);
+            hp_11.v = Optimization::Rotate::tRotate<2>(hp_11.v);
+            hp_12.v = Optimization::Rotate::tRotate<2>(hp_12.v);
+          }
+
+          if(this->pm == 1 && vs <= v){
+            hs_00.v = Optimization::Rotate::tRotate<2>(hs_00.v);
+            hs_01.v = Optimization::Rotate::tRotate<2>(hs_01.v);
+            hs_02.v = Optimization::Rotate::tRotate<2>(hs_02.v);
+            hs_10.v = Optimization::Rotate::tRotate<2>(hs_10.v);
+            hs_11.v = Optimization::Rotate::tRotate<2>(hs_11.v);
+            hs_12.v = Optimization::Rotate::tRotate<2>(hs_12.v);
+          }
+
+          if(vm >= v){
+            hm_00.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_00.v);
+            hm_01.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_01.v);
+            hm_02.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_02.v);
+            hm_10.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_10.v);
+            hm_11.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_11.v);
+            hm_12.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_12.v);
+          }
+
+          if(this->pm == -1 && vs >= v){
+            hs_00.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hs_00.v);
+            hs_01.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hs_01.v);
+            hs_02.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hs_02.v);
+            hs_10.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hs_10.v);
+            hs_11.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hs_11.v);
+            hs_12.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hs_12.v);
+          }
+
+          // Can force these to real arithmetic and save 2x.
+          Simd p_00 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(0)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_00)
+                                      : switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(0)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_00)
+                                                                                                 + switcheroo<Coeff_t>::mult(s[v]()()(), hs_00);
+          Simd p_01 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(1)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_01)
+                                      : switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(1)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_01)
+                                                                                                 + switcheroo<Coeff_t>::mult(s[v]()()(), hs_01);
+          Simd p_02 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(2)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_02)
+                                      : switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(2)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_02)
+                                                                                                 + switcheroo<Coeff_t>::mult(s[v]()()(), hs_02);
+          Simd p_10 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(0)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_10)
+                                      : switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(0)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_10)
+                                                                                                 + switcheroo<Coeff_t>::mult(s[v]()()(), hs_10);
+          Simd p_11 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(1)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_11)
+                                      : switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(1)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_11)
+                                                                                                 + switcheroo<Coeff_t>::mult(s[v]()()(), hs_11);
+          Simd p_12 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(2)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_12)
+                                      : switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(2)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_12)
+                                                                                                 + switcheroo<Coeff_t>::mult(s[v]()()(), hs_12);
+          Simd p_20 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(0)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_00)
+                                                                                                 + switcheroo<Coeff_t>::mult(s[v]()()(), hs_00)
+                                      : switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(0)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_00);
+          Simd p_21 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(1)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_01)
+                                                                                                 + switcheroo<Coeff_t>::mult(s[v]()()(), hs_01)
+                                      : switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(1)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_01);
+          Simd p_22 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(2)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_02)
+                                                                                                 + switcheroo<Coeff_t>::mult(s[v]()()(), hs_02)
+                                      : switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(2)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_02);
+          Simd p_30 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(3)(0)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_10)
+                                                                                                 + switcheroo<Coeff_t>::mult(s[v]()()(), hs_10)
+                                      : switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(3)(0)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_10);
+          Simd p_31 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(3)(1)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_11)
+                                                                                                 + switcheroo<Coeff_t>::mult(s[v]()()(), hs_11)
+                                      : switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(3)(1)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_11);
+          Simd p_32 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(3)(2)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_12)
+                                                                                                 + switcheroo<Coeff_t>::mult(s[v]()()(), hs_12)
+                                      : switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(3)(2)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_12);
+
+          vstream(chi[ss+v]()(0)(0), p_00);
+          vstream(chi[ss+v]()(0)(1), p_01);
+          vstream(chi[ss+v]()(0)(2), p_02);
+          vstream(chi[ss+v]()(1)(0), p_10);
+          vstream(chi[ss+v]()(1)(1), p_11);
+          vstream(chi[ss+v]()(1)(2), p_12);
+          vstream(chi[ss+v]()(2)(0), p_20);
+          vstream(chi[ss+v]()(2)(1), p_21);
+          vstream(chi[ss+v]()(2)(2), p_22);
+          vstream(chi[ss+v]()(3)(0), p_30);
+          vstream(chi[ss+v]()(3)(1), p_31);
+          vstream(chi[ss+v]()(3)(2), p_32);
+        }
+      }
+
+      this->M5Dtime += usecond();
+
+    #endif
+  }
+
+  template<class Impl>
+  void MobiusEOFAFermion<Impl>::M5Ddag(const FermionField& psi, const FermionField& phi,
+    FermionField& chi, std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper)
+  {
+    GridBase* grid = psi._grid;
+    int Ls  = this->Ls;
+    int LLs = grid->_rdimensions[0];
+    int nsimd = Simd::Nsimd();
+
+    Vector<iSinglet<Simd>> u(LLs);
+    Vector<iSinglet<Simd>> l(LLs);
+    Vector<iSinglet<Simd>> d(LLs);
+
+    assert(Ls/LLs == nsimd);
+    assert(phi.checkerboard == psi.checkerboard);
+
+    chi.checkerboard = psi.checkerboard;
+
+    // just directly address via type pun
+    typedef typename Simd::scalar_type scalar_type;
+    scalar_type* u_p = (scalar_type*) &u[0];
+    scalar_type* l_p = (scalar_type*) &l[0];
+    scalar_type* d_p = (scalar_type*) &d[0];
+
+    for(int o=0; o<LLs; o++){ // outer
+    for(int i=0; i<nsimd; i++){ //inner
+      int s  = o + i*LLs;
+      int ss = o*nsimd + i;
+      u_p[ss] = upper[s];
+      l_p[ss] = lower[s];
+      d_p[ss] = diag[s];
+    }}
+
+    this->M5Dcalls++;
+    this->M5Dtime -= usecond();
+
+    parallel_for(int ss=0; ss<grid->oSites(); ss+=LLs){ // adds LLs
+
+      #if 0
+
+        alignas(64) SiteHalfSpinor hp;
+        alignas(64) SiteHalfSpinor hm;
+        alignas(64) SiteSpinor fp;
+        alignas(64) SiteSpinor fm;
+
+        for(int v=0; v<LLs; v++){
+
+          int vp = (v+1)%LLs;
+          int vm = (v+LLs-1)%LLs;
+
+          spProj5p(hp, psi[ss+vp]);
+          spProj5m(hm, psi[ss+vm]);
+
+          if(vp <= v){ rotate(hp, hp, 1); }
+          if(vm >= v){ rotate(hm, hm, nsimd-1); }
+
+          hp = hp*0.5;
+          hm = hm*0.5;
+          spRecon5p(fp, hp);
+          spRecon5m(fm, hm);
+
+          chi[ss+v] = d[v]*phi[ss+v]+u[v]*fp;
+          chi[ss+v] = chi[ss+v]     +l[v]*fm;
+
+        }
+
+      #else
+
+        for(int v=0; v<LLs; v++){
+
+          vprefetch(psi[ss+v+LLs]);
+
+          int vp = (v == LLs-1) ? 0     : v+1;
+          int vm = (v == 0    ) ? LLs-1 : v-1;
+
+          Simd hp_00 = psi[ss+vp]()(0)(0);
+          Simd hp_01 = psi[ss+vp]()(0)(1);
+          Simd hp_02 = psi[ss+vp]()(0)(2);
+          Simd hp_10 = psi[ss+vp]()(1)(0);
+          Simd hp_11 = psi[ss+vp]()(1)(1);
+          Simd hp_12 = psi[ss+vp]()(1)(2);
+
+          Simd hm_00 = psi[ss+vm]()(2)(0);
+          Simd hm_01 = psi[ss+vm]()(2)(1);
+          Simd hm_02 = psi[ss+vm]()(2)(2);
+          Simd hm_10 = psi[ss+vm]()(3)(0);
+          Simd hm_11 = psi[ss+vm]()(3)(1);
+          Simd hm_12 = psi[ss+vm]()(3)(2);
+
+          if (vp <= v){
+            hp_00.v = Optimization::Rotate::tRotate<2>(hp_00.v);
+            hp_01.v = Optimization::Rotate::tRotate<2>(hp_01.v);
+            hp_02.v = Optimization::Rotate::tRotate<2>(hp_02.v);
+            hp_10.v = Optimization::Rotate::tRotate<2>(hp_10.v);
+            hp_11.v = Optimization::Rotate::tRotate<2>(hp_11.v);
+            hp_12.v = Optimization::Rotate::tRotate<2>(hp_12.v);
+          }
+
+          if(vm >= v){
+            hm_00.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_00.v);
+            hm_01.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_01.v);
+            hm_02.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_02.v);
+            hm_10.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_10.v);
+            hm_11.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_11.v);
+            hm_12.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_12.v);
+          }
+
+          Simd p_00 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(0)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_00);
+          Simd p_01 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(1)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_01);
+          Simd p_02 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(2)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_02);
+          Simd p_10 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(0)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_10);
+          Simd p_11 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(1)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_11);
+          Simd p_12 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(2)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_12);
+          Simd p_20 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(0)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_00);
+          Simd p_21 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(1)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_01);
+          Simd p_22 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(2)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_02);
+          Simd p_30 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(3)(0)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_10);
+          Simd p_31 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(3)(1)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_11);
+          Simd p_32 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(3)(2)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_12);
+
+          vstream(chi[ss+v]()(0)(0), p_00);
+          vstream(chi[ss+v]()(0)(1), p_01);
+          vstream(chi[ss+v]()(0)(2), p_02);
+          vstream(chi[ss+v]()(1)(0), p_10);
+          vstream(chi[ss+v]()(1)(1), p_11);
+          vstream(chi[ss+v]()(1)(2), p_12);
+          vstream(chi[ss+v]()(2)(0), p_20);
+          vstream(chi[ss+v]()(2)(1), p_21);
+          vstream(chi[ss+v]()(2)(2), p_22);
+          vstream(chi[ss+v]()(3)(0), p_30);
+          vstream(chi[ss+v]()(3)(1), p_31);
+          vstream(chi[ss+v]()(3)(2), p_32);
+
+        }
+
+      #endif
+
+    }
+
+    this->M5Dtime += usecond();
+  }
+
+  template<class Impl>
+  void MobiusEOFAFermion<Impl>::M5Ddag_shift(const FermionField& psi, const FermionField& phi,
+    FermionField& chi, std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper,
+    std::vector<Coeff_t>& shift_coeffs)
+  {
+    #if 0
+
+      this->M5Ddag(psi, phi, chi, lower, diag, upper);
+
+      // FIXME: possible gain from vectorizing shift operation as well?
+      Coeff_t one(1.0);
+      int Ls = this->Ls;
+      for(int s=0; s<Ls; s++){
+        if(this->pm == 1){ axpby_ssp_pplus(chi, one, chi, shift_coeffs[s], psi, Ls-1, s); }
+        else{ axpby_ssp_pminus(chi, one, chi, shift_coeffs[s], psi, 0, s); }
+      }
+
+    #else
+
+      GridBase* grid = psi._grid;
+      int Ls  = this->Ls;
+      int LLs = grid->_rdimensions[0];
+      int nsimd = Simd::Nsimd();
+
+      Vector<iSinglet<Simd>> u(LLs);
+      Vector<iSinglet<Simd>> l(LLs);
+      Vector<iSinglet<Simd>> d(LLs);
+      Vector<iSinglet<Simd>> s(LLs);
+
+      assert(Ls/LLs == nsimd);
+      assert(phi.checkerboard == psi.checkerboard);
+
+      chi.checkerboard = psi.checkerboard;
+
+      // just directly address via type pun
+      typedef typename Simd::scalar_type scalar_type;
+      scalar_type* u_p = (scalar_type*) &u[0];
+      scalar_type* l_p = (scalar_type*) &l[0];
+      scalar_type* d_p = (scalar_type*) &d[0];
+      scalar_type* s_p = (scalar_type*) &s[0];
+
+      for(int o=0; o<LLs; o++){ // outer
+      for(int i=0; i<nsimd; i++){ //inner
+        int s  = o + i*LLs;
+        int ss = o*nsimd + i;
+        u_p[ss] = upper[s];
+        l_p[ss] = lower[s];
+        d_p[ss] = diag[s];
+        s_p[ss] = shift_coeffs[s];
+      }}
+
+      this->M5Dcalls++;
+      this->M5Dtime -= usecond();
+
+      parallel_for(int ss=0; ss<grid->oSites(); ss+=LLs){ // adds LLs
+
+        int vs     = (this->pm == 1) ? LLs-1 : 0;
+        Simd hs_00 = (this->pm == 1) ? psi[ss+vs]()(0)(0) : psi[ss+vs]()(2)(0);
+        Simd hs_01 = (this->pm == 1) ? psi[ss+vs]()(0)(1) : psi[ss+vs]()(2)(1);
+        Simd hs_02 = (this->pm == 1) ? psi[ss+vs]()(0)(2) : psi[ss+vs]()(2)(2);
+        Simd hs_10 = (this->pm == 1) ? psi[ss+vs]()(1)(0) : psi[ss+vs]()(3)(0);
+        Simd hs_11 = (this->pm == 1) ? psi[ss+vs]()(1)(1) : psi[ss+vs]()(3)(1);
+        Simd hs_12 = (this->pm == 1) ? psi[ss+vs]()(1)(2) : psi[ss+vs]()(3)(2);
+
+        for(int v=0; v<LLs; v++){
+
+          vprefetch(psi[ss+v+LLs]);
+
+          int vp = (v == LLs-1) ? 0     : v+1;
+          int vm = (v == 0    ) ? LLs-1 : v-1;
+
+          Simd hp_00 = psi[ss+vp]()(0)(0);
+          Simd hp_01 = psi[ss+vp]()(0)(1);
+          Simd hp_02 = psi[ss+vp]()(0)(2);
+          Simd hp_10 = psi[ss+vp]()(1)(0);
+          Simd hp_11 = psi[ss+vp]()(1)(1);
+          Simd hp_12 = psi[ss+vp]()(1)(2);
+
+          Simd hm_00 = psi[ss+vm]()(2)(0);
+          Simd hm_01 = psi[ss+vm]()(2)(1);
+          Simd hm_02 = psi[ss+vm]()(2)(2);
+          Simd hm_10 = psi[ss+vm]()(3)(0);
+          Simd hm_11 = psi[ss+vm]()(3)(1);
+          Simd hm_12 = psi[ss+vm]()(3)(2);
+
+          if (vp <= v){
+            hp_00.v = Optimization::Rotate::tRotate<2>(hp_00.v);
+            hp_01.v = Optimization::Rotate::tRotate<2>(hp_01.v);
+            hp_02.v = Optimization::Rotate::tRotate<2>(hp_02.v);
+            hp_10.v = Optimization::Rotate::tRotate<2>(hp_10.v);
+            hp_11.v = Optimization::Rotate::tRotate<2>(hp_11.v);
+            hp_12.v = Optimization::Rotate::tRotate<2>(hp_12.v);
+          }
+
+          if(this->pm == 1 && vs <= v){
+            hs_00.v = Optimization::Rotate::tRotate<2>(hs_00.v);
+            hs_01.v = Optimization::Rotate::tRotate<2>(hs_01.v);
+            hs_02.v = Optimization::Rotate::tRotate<2>(hs_02.v);
+            hs_10.v = Optimization::Rotate::tRotate<2>(hs_10.v);
+            hs_11.v = Optimization::Rotate::tRotate<2>(hs_11.v);
+            hs_12.v = Optimization::Rotate::tRotate<2>(hs_12.v);
+          }
+
+          if(vm >= v){
+            hm_00.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_00.v);
+            hm_01.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_01.v);
+            hm_02.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_02.v);
+            hm_10.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_10.v);
+            hm_11.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_11.v);
+            hm_12.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_12.v);
+          }
+
+          if(this->pm == -1 && vs >= v){
+            hs_00.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hs_00.v);
+            hs_01.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hs_01.v);
+            hs_02.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hs_02.v);
+            hs_10.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hs_10.v);
+            hs_11.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hs_11.v);
+            hs_12.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hs_12.v);
+          }
+
+          Simd p_00 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(0)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_00)
+                                                                                                 + switcheroo<Coeff_t>::mult(s[v]()()(), hs_00)
+                                      : switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(0)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_00);
+          Simd p_01 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(1)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_01)
+                                                                                                 + switcheroo<Coeff_t>::mult(s[v]()()(), hs_01)
+                                      : switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(1)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_01);
+          Simd p_02 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(2)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_02)
+                                                                                                 + switcheroo<Coeff_t>::mult(s[v]()()(), hs_02)
+                                      : switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(2)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_02);
+          Simd p_10 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(0)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_10)
+                                                                                                 + switcheroo<Coeff_t>::mult(s[v]()()(), hs_10)
+                                      : switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(0)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_10);
+          Simd p_11 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(1)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_11)
+                                                                                                 + switcheroo<Coeff_t>::mult(s[v]()()(), hs_11)
+                                      : switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(1)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_11);
+          Simd p_12 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(2)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_12)
+                                                                                                 + switcheroo<Coeff_t>::mult(s[v]()()(), hs_12)
+                                      : switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(2)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_12);
+          Simd p_20 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(0)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_00)
+                                      : switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(0)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_00)
+                                                                                                 + switcheroo<Coeff_t>::mult(s[v]()()(), hs_00);
+          Simd p_21 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(1)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_01)
+                                      : switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(1)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_01)
+                                                                                                 + switcheroo<Coeff_t>::mult(s[v]()()(), hs_01);
+          Simd p_22 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(2)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_02)
+                                      : switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(2)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_02)
+                                                                                                 + switcheroo<Coeff_t>::mult(s[v]()()(), hs_02);
+          Simd p_30 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(3)(0)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_10)
+                                      : switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(3)(0)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_10)
+                                                                                                 + switcheroo<Coeff_t>::mult(s[v]()()(), hs_10);
+          Simd p_31 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(3)(1)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_11)
+                                      : switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(3)(1)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_11)
+                                                                                                 + switcheroo<Coeff_t>::mult(s[v]()()(), hs_11);
+          Simd p_32 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(3)(2)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_12)
+                                      : switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(3)(2)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_12)
+                                                                                                 + switcheroo<Coeff_t>::mult(s[v]()()(), hs_12);
+
+          vstream(chi[ss+v]()(0)(0), p_00);
+          vstream(chi[ss+v]()(0)(1), p_01);
+          vstream(chi[ss+v]()(0)(2), p_02);
+          vstream(chi[ss+v]()(1)(0), p_10);
+          vstream(chi[ss+v]()(1)(1), p_11);
+          vstream(chi[ss+v]()(1)(2), p_12);
+          vstream(chi[ss+v]()(2)(0), p_20);
+          vstream(chi[ss+v]()(2)(1), p_21);
+          vstream(chi[ss+v]()(2)(2), p_22);
+          vstream(chi[ss+v]()(3)(0), p_30);
+          vstream(chi[ss+v]()(3)(1), p_31);
+          vstream(chi[ss+v]()(3)(2), p_32);
+
+        }
+
+      }
+
+      this->M5Dtime += usecond();
+
+    #endif
+  }
+
+  #ifdef AVX512
+    #include<simd/Intel512common.h>
+    #include<simd/Intel512avx.h>
+    #include<simd/Intel512single.h>
+  #endif
+
+  template<class Impl>
+  void MobiusEOFAFermion<Impl>::MooeeInternalAsm(const FermionField& psi, FermionField& chi,
+    int LLs, int site, Vector<iSinglet<Simd> >& Matp, Vector<iSinglet<Simd> >& Matm)
+  {
+    #ifndef AVX512
+      {
+        SiteHalfSpinor BcastP;
+        SiteHalfSpinor BcastM;
+        SiteHalfSpinor SiteChiP;
+        SiteHalfSpinor SiteChiM;
+
+        // Ls*Ls * 2 * 12 * vol flops
+        for(int s1=0; s1<LLs; s1++){
+
+          for(int s2=0; s2<LLs; s2++){
+          for(int l=0; l < Simd::Nsimd(); l++){ // simd lane
+
+            int s = s2 + l*LLs;
+            int lex = s2 + LLs*site;
+
+            if( s2==0 && l==0 ){
+              SiteChiP=zero;
+              SiteChiM=zero;
+            }
+
+            for(int sp=0; sp<2;  sp++){
+            for(int co=0; co<Nc; co++){
+              vbroadcast(BcastP()(sp)(co), psi[lex]()(sp)(co), l);
+            }}
+
+            for(int sp=0; sp<2;  sp++){
+            for(int co=0; co<Nc; co++){
+              vbroadcast(BcastM()(sp)(co), psi[lex]()(sp+2)(co), l);
+            }}
+
+            for(int sp=0; sp<2;  sp++){
+            for(int co=0; co<Nc; co++){
+              SiteChiP()(sp)(co) = real_madd(Matp[LLs*s+s1]()()(), BcastP()(sp)(co), SiteChiP()(sp)(co)); // 1100 us.
+              SiteChiM()(sp)(co) = real_madd(Matm[LLs*s+s1]()()(), BcastM()(sp)(co), SiteChiM()(sp)(co)); // each found by commenting out
+            }}
+          }}
+
+          {
+            int lex = s1 + LLs*site;
+            for(int sp=0; sp<2;  sp++){
+            for(int co=0; co<Nc; co++){
+              vstream(chi[lex]()(sp)(co),   SiteChiP()(sp)(co));
+              vstream(chi[lex]()(sp+2)(co), SiteChiM()(sp)(co));
+            }}
+          }
+        }
+      }
+    #else
+      {
+        // pointers
+        //  MASK_REGS;
+        #define Chi_00 %%zmm1
+        #define Chi_01 %%zmm2
+        #define Chi_02 %%zmm3
+        #define Chi_10 %%zmm4
+        #define Chi_11 %%zmm5
+        #define Chi_12 %%zmm6
+        #define Chi_20 %%zmm7
+        #define Chi_21 %%zmm8
+        #define Chi_22 %%zmm9
+        #define Chi_30 %%zmm10
+        #define Chi_31 %%zmm11
+        #define Chi_32 %%zmm12
+
+        #define BCAST0  %%zmm13
+        #define BCAST1  %%zmm14
+        #define BCAST2  %%zmm15
+        #define BCAST3  %%zmm16
+        #define BCAST4  %%zmm17
+        #define BCAST5  %%zmm18
+        #define BCAST6  %%zmm19
+        #define BCAST7  %%zmm20
+        #define BCAST8  %%zmm21
+        #define BCAST9  %%zmm22
+        #define BCAST10 %%zmm23
+        #define BCAST11 %%zmm24
+
+        int incr = LLs*LLs*sizeof(iSinglet<Simd>);
+
+        for(int s1=0; s1<LLs; s1++){
+
+          for(int s2=0; s2<LLs; s2++){
+
+            int lex = s2 + LLs*site;
+            uint64_t a0 = (uint64_t) &Matp[LLs*s2+s1]; // should be cacheable
+            uint64_t a1 = (uint64_t) &Matm[LLs*s2+s1];
+            uint64_t a2 = (uint64_t) &psi[lex];
+
+            for(int l=0; l<Simd::Nsimd(); l++){ // simd lane
+
+              if((s2+l)==0) {
+                asm(
+                      VPREFETCH1(0,%2)              VPREFETCH1(0,%1)
+                      VPREFETCH1(12,%2)  	          VPREFETCH1(13,%2)
+                      VPREFETCH1(14,%2)  	          VPREFETCH1(15,%2)
+                      VBCASTCDUP(0,%2,BCAST0)
+                      VBCASTCDUP(1,%2,BCAST1)
+                      VBCASTCDUP(2,%2,BCAST2)
+                      VBCASTCDUP(3,%2,BCAST3)
+                      VBCASTCDUP(4,%2,BCAST4)       VMULMEM(0,%0,BCAST0,Chi_00)
+                      VBCASTCDUP(5,%2,BCAST5)       VMULMEM(0,%0,BCAST1,Chi_01)
+                      VBCASTCDUP(6,%2,BCAST6)       VMULMEM(0,%0,BCAST2,Chi_02)
+                      VBCASTCDUP(7,%2,BCAST7)       VMULMEM(0,%0,BCAST3,Chi_10)
+                      VBCASTCDUP(8,%2,BCAST8)       VMULMEM(0,%0,BCAST4,Chi_11)
+                      VBCASTCDUP(9,%2,BCAST9)       VMULMEM(0,%0,BCAST5,Chi_12)
+                      VBCASTCDUP(10,%2,BCAST10)     VMULMEM(0,%1,BCAST6,Chi_20)
+                      VBCASTCDUP(11,%2,BCAST11)     VMULMEM(0,%1,BCAST7,Chi_21)
+                      VMULMEM(0,%1,BCAST8,Chi_22)
+                      VMULMEM(0,%1,BCAST9,Chi_30)
+                      VMULMEM(0,%1,BCAST10,Chi_31)
+                      VMULMEM(0,%1,BCAST11,Chi_32)
+                      : : "r" (a0), "r" (a1), "r" (a2)                            );
+              } else {
+                asm(
+                      VBCASTCDUP(0,%2,BCAST0)   VMADDMEM(0,%0,BCAST0,Chi_00)
+                      VBCASTCDUP(1,%2,BCAST1)   VMADDMEM(0,%0,BCAST1,Chi_01)
+                      VBCASTCDUP(2,%2,BCAST2)   VMADDMEM(0,%0,BCAST2,Chi_02)
+                      VBCASTCDUP(3,%2,BCAST3)   VMADDMEM(0,%0,BCAST3,Chi_10)
+                      VBCASTCDUP(4,%2,BCAST4)   VMADDMEM(0,%0,BCAST4,Chi_11)
+                      VBCASTCDUP(5,%2,BCAST5)   VMADDMEM(0,%0,BCAST5,Chi_12)
+                      VBCASTCDUP(6,%2,BCAST6)   VMADDMEM(0,%1,BCAST6,Chi_20)
+                      VBCASTCDUP(7,%2,BCAST7)   VMADDMEM(0,%1,BCAST7,Chi_21)
+                      VBCASTCDUP(8,%2,BCAST8)   VMADDMEM(0,%1,BCAST8,Chi_22)
+                      VBCASTCDUP(9,%2,BCAST9)   VMADDMEM(0,%1,BCAST9,Chi_30)
+                      VBCASTCDUP(10,%2,BCAST10) VMADDMEM(0,%1,BCAST10,Chi_31)
+                      VBCASTCDUP(11,%2,BCAST11) VMADDMEM(0,%1,BCAST11,Chi_32)
+                      : : "r" (a0), "r" (a1), "r" (a2)                            );
+              }
+
+              a0 = a0 + incr;
+              a1 = a1 + incr;
+              a2 = a2 + sizeof(Simd::scalar_type);
+            }
+          }
+
+          {
+            int lexa = s1+LLs*site;
+            asm (
+               VSTORE(0,%0,Chi_00) VSTORE(1 ,%0,Chi_01)  VSTORE(2 ,%0,Chi_02)
+               VSTORE(3,%0,Chi_10) VSTORE(4 ,%0,Chi_11)  VSTORE(5 ,%0,Chi_12)
+               VSTORE(6,%0,Chi_20) VSTORE(7 ,%0,Chi_21)  VSTORE(8 ,%0,Chi_22)
+               VSTORE(9,%0,Chi_30) VSTORE(10,%0,Chi_31)  VSTORE(11,%0,Chi_32)
+               : : "r" ((uint64_t)&chi[lexa]) : "memory" );
+          }
+        }
+      }
+
+      #undef Chi_00
+      #undef Chi_01
+      #undef Chi_02
+      #undef Chi_10
+      #undef Chi_11
+      #undef Chi_12
+      #undef Chi_20
+      #undef Chi_21
+      #undef Chi_22
+      #undef Chi_30
+      #undef Chi_31
+      #undef Chi_32
+
+      #undef BCAST0
+      #undef BCAST1
+      #undef BCAST2
+      #undef BCAST3
+      #undef BCAST4
+      #undef BCAST5
+      #undef BCAST6
+      #undef BCAST7
+      #undef BCAST8
+      #undef BCAST9
+      #undef BCAST10
+      #undef BCAST11
+
+    #endif
+  };
+
+  // Z-mobius version
+  template<class Impl>
+  void MobiusEOFAFermion<Impl>::MooeeInternalZAsm(const FermionField& psi, FermionField& chi,
+    int LLs, int site, Vector<iSinglet<Simd> >& Matp, Vector<iSinglet<Simd> >& Matm)
+  {
+    std::cout << "Error: zMobius not implemented for EOFA" << std::endl;
+    exit(-1);
+  };
+
+  template<class Impl>
+  void MobiusEOFAFermion<Impl>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv)
+  {
+    int Ls  = this->Ls;
+    int LLs = psi._grid->_rdimensions[0];
+    int vol = psi._grid->oSites()/LLs;
+
+    chi.checkerboard = psi.checkerboard;
+
+    Vector<iSinglet<Simd>>   Matp;
+    Vector<iSinglet<Simd>>   Matm;
+    Vector<iSinglet<Simd>>* _Matp;
+    Vector<iSinglet<Simd>>* _Matm;
+
+    //  MooeeInternalCompute(dag,inv,Matp,Matm);
+    if(inv && dag){
+      _Matp = &this->MatpInvDag;
+      _Matm = &this->MatmInvDag;
+    }
+
+    if(inv && (!dag)){
+      _Matp = &this->MatpInv;
+      _Matm = &this->MatmInv;
+    }
+
+    if(!inv){
+      MooeeInternalCompute(dag, inv, Matp, Matm);
+      _Matp = &Matp;
+      _Matm = &Matm;
+    }
+
+    assert(_Matp->size() == Ls*LLs);
+
+    this->MooeeInvCalls++;
+    this->MooeeInvTime -= usecond();
+
+    if(switcheroo<Coeff_t>::iscomplex()){
+      parallel_for(auto site=0; site<vol; site++){
+        MooeeInternalZAsm(psi, chi, LLs, site, *_Matp, *_Matm);
+      }
+    } else {
+      parallel_for(auto site=0; site<vol; site++){
+        MooeeInternalAsm(psi, chi, LLs, site, *_Matp, *_Matm);
+      }
+    }
+
+    this->MooeeInvTime += usecond();
+  }
+
+  #ifdef MOBIUS_EOFA_DPERP_VEC
+
+    INSTANTIATE_DPERP_MOBIUS_EOFA(DomainWallVec5dImplD);
+    INSTANTIATE_DPERP_MOBIUS_EOFA(DomainWallVec5dImplF);
+    INSTANTIATE_DPERP_MOBIUS_EOFA(ZDomainWallVec5dImplD);
+    INSTANTIATE_DPERP_MOBIUS_EOFA(ZDomainWallVec5dImplF);
+
+    INSTANTIATE_DPERP_MOBIUS_EOFA(DomainWallVec5dImplDF);
+    INSTANTIATE_DPERP_MOBIUS_EOFA(DomainWallVec5dImplFH);
+    INSTANTIATE_DPERP_MOBIUS_EOFA(ZDomainWallVec5dImplDF);
+    INSTANTIATE_DPERP_MOBIUS_EOFA(ZDomainWallVec5dImplFH);
+
+    template void MobiusEOFAFermion<DomainWallVec5dImplF>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
+    template void MobiusEOFAFermion<DomainWallVec5dImplD>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
+    template void MobiusEOFAFermion<ZDomainWallVec5dImplF>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
+    template void MobiusEOFAFermion<ZDomainWallVec5dImplD>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
+
+    template void MobiusEOFAFermion<DomainWallVec5dImplFH>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
+    template void MobiusEOFAFermion<DomainWallVec5dImplDF>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
+    template void MobiusEOFAFermion<ZDomainWallVec5dImplFH>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
+    template void MobiusEOFAFermion<ZDomainWallVec5dImplDF>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
+
+  #endif
+
+}}

lib/qcd/action/pseudofermion/ExactOneFlavourRatio.h

@@ -0,0 +1,264 @@
+/*************************************************************************************
+
+Grid physics library, www.github.com/paboyle/Grid
+
+Source file: ./lib/qcd/action/pseudofermion/ExactOneFlavourRatio.h
+
+Copyright (C) 2017
+
+Author: Peter Boyle <paboyle@ph.ed.ac.uk>
+Author: David Murphy <dmurphy@phys.columbia.edu>
+
+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 */
+
+/////////////////////////////////////////////////////////////////
+// Implementation of exact one flavour algorithm (EOFA)         //
+// using fermion classes defined in:                           //
+//    Grid/qcd/action/fermion/DomainWallEOFAFermion.h (Shamir) //
+//    Grid/qcd/action/fermion/MobiusEOFAFermion.h (Mobius)     //
+// arXiv: 1403.1683, 1706.05843                                //
+/////////////////////////////////////////////////////////////////
+
+#ifndef QCD_PSEUDOFERMION_EXACT_ONE_FLAVOUR_RATIO_H
+#define QCD_PSEUDOFERMION_EXACT_ONE_FLAVOUR_RATIO_H
+
+namespace Grid{
+namespace QCD{
+
+  ///////////////////////////////////////////////////////////////
+  // Exact one flavour implementation of DWF determinant ratio //
+  ///////////////////////////////////////////////////////////////
+
+  template<class Impl>
+  class ExactOneFlavourRatioPseudoFermionAction : public Action<typename Impl::GaugeField>
+  {
+    public:
+      INHERIT_IMPL_TYPES(Impl);
+      typedef OneFlavourRationalParams Params;
+      Params param;
+      MultiShiftFunction PowerNegHalf;
+
+    private:
+      bool use_heatbath_forecasting;
+      AbstractEOFAFermion<Impl>& Lop; // the basic LH operator
+      AbstractEOFAFermion<Impl>& Rop; // the basic RH operator
+      SchurRedBlackDiagMooeeSolve<FermionField> Solver;
+      FermionField Phi; // the pseudofermion field for this trajectory
+
+    public:
+      ExactOneFlavourRatioPseudoFermionAction(AbstractEOFAFermion<Impl>& _Lop, AbstractEOFAFermion<Impl>& _Rop,
+        OperatorFunction<FermionField>& S, Params& p, bool use_fc=false) : Lop(_Lop), Rop(_Rop), Solver(S),
+        Phi(_Lop.FermionGrid()), param(p), use_heatbath_forecasting(use_fc)
+      {
+        AlgRemez remez(param.lo, param.hi, param.precision);
+
+        // MdagM^(+- 1/2)
+        std::cout << GridLogMessage << "Generating degree " << param.degree << " for x^(-1/2)" << std::endl;
+        remez.generateApprox(param.degree, 1, 2);
+        PowerNegHalf.Init(remez, param.tolerance, true);
+      };
+
+      virtual std::string action_name() { return "ExactOneFlavourRatioPseudoFermionAction"; }
+
+      virtual std::string LogParameters() {
+        std::stringstream sstream;
+        sstream << GridLogMessage << "[" << action_name() << "] Low            :" << param.lo << std::endl;
+        sstream << GridLogMessage << "[" << action_name() << "] High           :" << param.hi << std::endl;
+        sstream << GridLogMessage << "[" << action_name() << "] Max iterations :" << param.MaxIter << std::endl;
+        sstream << GridLogMessage << "[" << action_name() << "] Tolerance      :" << param.tolerance << std::endl;
+        sstream << GridLogMessage << "[" << action_name() << "] Degree         :" << param.degree << std::endl;
+        sstream << GridLogMessage << "[" << action_name() << "] Precision      :" << param.precision << std::endl;
+        return sstream.str();
+      }
+
+      // Spin projection
+      void spProj(const FermionField& in, FermionField& out, int sign, int Ls)
+      {
+        if(sign == 1){ for(int s=0; s<Ls; ++s){ axpby_ssp_pplus(out, 0.0, in, 1.0, in, s, s); } }
+        else{ for(int s=0; s<Ls; ++s){ axpby_ssp_pminus(out, 0.0, in, 1.0, in, s, s); } }
+      }
+
+      // EOFA heatbath: see Eqn. (29) of arXiv:1706.05843
+      // We generate a Gaussian noise vector \eta, and then compute
+      //  \Phi = M_{\rm EOFA}^{-1/2} * \eta
+      // using a rational approximation to the inverse square root
+      virtual void refresh(const GaugeField& U, GridParallelRNG& pRNG)
+      {
+        Lop.ImportGauge(U);
+        Rop.ImportGauge(U);
+
+        FermionField eta         (Lop.FermionGrid());
+        FermionField CG_src      (Lop.FermionGrid());
+        FermionField CG_soln     (Lop.FermionGrid());
+        FermionField Forecast_src(Lop.FermionGrid());
+        std::vector<FermionField> tmp(2, Lop.FermionGrid());
+
+        // Use chronological inverter to forecast solutions across poles
+        std::vector<FermionField> prev_solns;
+        if(use_heatbath_forecasting){ prev_solns.reserve(param.degree); }
+        ChronoForecast<AbstractEOFAFermion<Impl>, FermionField> Forecast;
+
+        // Seed with Gaussian noise vector (var = 0.5)
+        RealD scale = std::sqrt(0.5);
+        gaussian(pRNG,eta);
+        eta = eta * scale;
+        printf("Heatbath source vector: <\\eta|\\eta> = %1.15e\n", norm2(eta));
+
+        // \Phi = ( \alpha_{0} + \sum_{k=1}^{N_{p}} \alpha_{l} * \gamma_{l} ) * \eta
+        RealD N(PowerNegHalf.norm);
+        for(int k=0; k<param.degree; ++k){ N += PowerNegHalf.residues[k] / ( 1.0 + PowerNegHalf.poles[k] ); }
+        Phi = eta * N;
+
+        // LH terms:
+        // \Phi = \Phi + k \sum_{k=1}^{N_{p}} P_{-} \Omega_{-}^{\dagger} ( H(mf)
+        //          - \gamma_{l} \Delta_{-}(mf,mb) P_{-} )^{-1} \Omega_{-} P_{-} \eta
+        RealD gamma_l(0.0);
+        spProj(eta, tmp[0], -1, Lop.Ls);
+        Lop.Omega(tmp[0], tmp[1], -1, 0);
+        G5R5(CG_src, tmp[1]);
+        tmp[1] = zero;
+        for(int k=0; k<param.degree; ++k){
+          gamma_l = 1.0 / ( 1.0 + PowerNegHalf.poles[k] );
+          Lop.RefreshShiftCoefficients(-gamma_l);
+          if(use_heatbath_forecasting){ // Forecast CG guess using solutions from previous poles
+            Lop.Mdag(CG_src, Forecast_src);
+            CG_soln = Forecast(Lop, Forecast_src, prev_solns);
+            Solver(Lop, CG_src, CG_soln);
+            prev_solns.push_back(CG_soln);
+          } else {
+            CG_soln = zero; // Just use zero as the initial guess
+            Solver(Lop, CG_src, CG_soln);
+          }
+          Lop.Dtilde(CG_soln, tmp[0]); // We actually solved Cayley preconditioned system: transform back
+          tmp[1] = tmp[1] + ( PowerNegHalf.residues[k]*gamma_l*gamma_l*Lop.k ) * tmp[0];
+        }
+        Lop.Omega(tmp[1], tmp[0], -1, 1);
+        spProj(tmp[0], tmp[1], -1, Lop.Ls);
+        Phi = Phi + tmp[1];
+
+        // RH terms:
+        // \Phi = \Phi - k \sum_{k=1}^{N_{p}} P_{+} \Omega_{+}^{\dagger} ( H(mb)
+        //          + \gamma_{l} \Delta_{+}(mf,mb) P_{+} )^{-1} \Omega_{+} P_{+} \eta
+        spProj(eta, tmp[0], 1, Rop.Ls);
+        Rop.Omega(tmp[0], tmp[1], 1, 0);
+        G5R5(CG_src, tmp[1]);
+        tmp[1] = zero;
+        if(use_heatbath_forecasting){ prev_solns.clear(); } // empirically, LH solns don't help for RH solves
+        for(int k=0; k<param.degree; ++k){
+          gamma_l = 1.0 / ( 1.0 + PowerNegHalf.poles[k] );
+          Rop.RefreshShiftCoefficients(-gamma_l*PowerNegHalf.poles[k]);
+          if(use_heatbath_forecasting){
+            Rop.Mdag(CG_src, Forecast_src);
+            CG_soln = Forecast(Rop, Forecast_src, prev_solns);
+            Solver(Rop, CG_src, CG_soln);
+            prev_solns.push_back(CG_soln);
+          } else {
+            CG_soln = zero;
+            Solver(Rop, CG_src, CG_soln);
+          }
+          Rop.Dtilde(CG_soln, tmp[0]); // We actually solved Cayley preconditioned system: transform back
+          tmp[1] = tmp[1] - ( PowerNegHalf.residues[k]*gamma_l*gamma_l*Rop.k ) * tmp[0];
+        }
+        Rop.Omega(tmp[1], tmp[0], 1, 1);
+        spProj(tmp[0], tmp[1], 1, Rop.Ls);
+        Phi = Phi + tmp[1];
+
+        // Reset shift coefficients for energy and force evals
+        Lop.RefreshShiftCoefficients(0.0);
+        Rop.RefreshShiftCoefficients(-1.0);
+      };
+
+      // EOFA action: see Eqn. (10) of arXiv:1706.05843
+      virtual RealD S(const GaugeField& U)
+      {
+        Lop.ImportGauge(U);
+        Rop.ImportGauge(U);
+
+        FermionField spProj_Phi(Lop.FermionGrid());
+        std::vector<FermionField> tmp(2, Lop.FermionGrid());
+
+        // S = <\Phi|\Phi>
+        RealD action(norm2(Phi));
+
+        // LH term: S = S - k <\Phi| P_{-} \Omega_{-}^{\dagger} H(mf)^{-1} \Omega_{-} P_{-} |\Phi>
+        spProj(Phi, spProj_Phi, -1, Lop.Ls);
+        Lop.Omega(spProj_Phi, tmp[0], -1, 0);
+        G5R5(tmp[1], tmp[0]);
+        tmp[0] = zero;
+        Solver(Lop, tmp[1], tmp[0]);
+        Lop.Dtilde(tmp[0], tmp[1]); // We actually solved Cayley preconditioned system: transform back
+        Lop.Omega(tmp[1], tmp[0], -1, 1);
+        action -= Lop.k * innerProduct(spProj_Phi, tmp[0]).real();
+
+        // RH term: S = S + k <\Phi| P_{+} \Omega_{+}^{\dagger} ( H(mb)
+        //               - \Delta_{+}(mf,mb) P_{+} )^{-1} \Omega_{-} P_{-} |\Phi>
+        spProj(Phi, spProj_Phi, 1, Rop.Ls);
+        Rop.Omega(spProj_Phi, tmp[0], 1, 0);
+        G5R5(tmp[1], tmp[0]);
+        tmp[0] = zero;
+        Solver(Rop, tmp[1], tmp[0]);
+        Rop.Dtilde(tmp[0], tmp[1]);
+        Rop.Omega(tmp[1], tmp[0], 1, 1);
+        action += Rop.k * innerProduct(spProj_Phi, tmp[0]).real();
+
+        return action;
+      };
+
+      // EOFA pseudofermion force: see Eqns. (34)-(36) of arXiv:1706.05843
+      virtual void deriv(const GaugeField& U, GaugeField& dSdU)
+      {
+        Lop.ImportGauge(U);
+        Rop.ImportGauge(U);
+
+        FermionField spProj_Phi      (Lop.FermionGrid());
+        FermionField Omega_spProj_Phi(Lop.FermionGrid());
+        FermionField CG_src          (Lop.FermionGrid());
+        FermionField Chi             (Lop.FermionGrid());
+        FermionField g5_R5_Chi       (Lop.FermionGrid());
+
+        GaugeField force(Lop.GaugeGrid());
+
+        // LH: dSdU = k \chi_{L}^{\dagger} \gamma_{5} R_{5} ( \partial_{x,\mu} D_{w} ) \chi_{L}
+        //     \chi_{L} = H(mf)^{-1} \Omega_{-} P_{-} \Phi
+        spProj(Phi, spProj_Phi, -1, Lop.Ls);
+        Lop.Omega(spProj_Phi, Omega_spProj_Phi, -1, 0);
+        G5R5(CG_src, Omega_spProj_Phi);
+        spProj_Phi = zero;
+        Solver(Lop, CG_src, spProj_Phi);
+        Lop.Dtilde(spProj_Phi, Chi);
+        G5R5(g5_R5_Chi, Chi);
+        Lop.MDeriv(force, g5_R5_Chi, Chi, DaggerNo);
+        dSdU = Lop.k * force;
+
+        // RH: dSdU = dSdU - k \chi_{R}^{\dagger} \gamma_{5} R_{5} ( \partial_{x,\mu} D_{w} ) \chi_{}
+        //     \chi_{R} = ( H(mb) - \Delta_{+}(mf,mb) P_{+} )^{-1} \Omega_{+} P_{+} \Phi
+        spProj(Phi, spProj_Phi, 1, Rop.Ls);
+        Rop.Omega(spProj_Phi, Omega_spProj_Phi, 1, 0);
+        G5R5(CG_src, Omega_spProj_Phi);
+        spProj_Phi = zero;
+        Solver(Rop, CG_src, spProj_Phi);
+        Rop.Dtilde(spProj_Phi, Chi);
+        G5R5(g5_R5_Chi, Chi);
+        Lop.MDeriv(force, g5_R5_Chi, Chi, DaggerNo);
+        dSdU = dSdU - Rop.k * force;
+      };
+  };
+}}
+
+#endif

lib/qcd/action/pseudofermion/PseudoFermion.h

@@ -38,5 +38,6 @@ directory
 #include <Grid/qcd/action/pseudofermion/OneFlavourRationalRatio.h>
 #include <Grid/qcd/action/pseudofermion/OneFlavourEvenOddRational.h>
 #include <Grid/qcd/action/pseudofermion/OneFlavourEvenOddRationalRatio.h>
+#include <Grid/qcd/action/pseudofermion/ExactOneFlavourRatio.h>
 
 #endif

lib/qcd/modules/FermionOperatorModules.h

@@ -202,6 +202,39 @@ class DomainWallFermionModule: public FermionOperatorModule<DomainWallFermion, F
 };
 
 
+class DomainWallEOFAFermionParameters : Serializable {
+ public:
+  GRID_SERIALIZABLE_CLASS_MEMBERS(DomainWallEOFAFermionParameters,
+    RealD, mq1,
+    RealD, mq2,
+    RealD, mq3,
+    RealD, shift,
+    int, pm,
+    RealD, M5,
+    unsigned int, Ls);
+};
+
+template <class FermionImpl >
+class DomainWallEOFAFermionModule: public FermionOperatorModule<DomainWallEOFAFermion, FermionImpl, DomainWallEOFAFermionParameters> {
+  typedef FermionOperatorModule<DomainWallEOFAFermion, FermionImpl, DomainWallEOFAFermionParameters> FermBase;
+  using FermBase::FermBase; // for constructors
+
+  virtual unsigned int Ls(){
+    return this->Par_.Ls;
+  }
+
+  // acquire resource
+  virtual void initialize(){
+    auto GridMod = this->GridRefs[0];
+    auto GridMod5d = this->GridRefs[1];
+    typename FermionImpl::GaugeField U(GridMod->get_full());
+    this->FOPtr.reset(new DomainWallEOFAFermion<FermionImpl>( U, *(GridMod->get_full()), *(GridMod->get_rb()),
+                                                      *(GridMod5d->get_full()), *(GridMod5d->get_rb()),
+                                                      this->Par_.mq1, this->Par_.mq2, this->Par_.mq3,
+                                                      this->Par_.shift, this->Par_.pm, this->Par_.M5));
+  }
+};
+
 
 } // QCD
 } // Grid

lib/qcd/utils/SpaceTimeGrid.cc

@@ -60,7 +60,7 @@ GridCartesian         *SpaceTimeGrid::makeFiveDimGrid(int Ls,const GridCartesian
     simd5.push_back(FourDimGrid->_simd_layout[d]);
      mpi5.push_back(FourDimGrid->_processors[d]);
   }
-  return new GridCartesian(latt5,simd5,mpi5); 
+  return new GridCartesian(latt5,simd5,mpi5,*FourDimGrid); 
 }
 
 
@@ -68,18 +68,14 @@ GridRedBlackCartesian *SpaceTimeGrid::makeFiveDimRedBlackGrid(int Ls,const GridC
 {
   int N4=FourDimGrid->_ndimension;
   int cbd=1;
-  std::vector<int> latt5(1,Ls);
-  std::vector<int> simd5(1,1);
-  std::vector<int>  mpi5(1,1);
   std::vector<int>   cb5(1,0);
-    
   for(int d=0;d<N4;d++){
-    latt5.push_back(FourDimGrid->_fdimensions[d]);
-    simd5.push_back(FourDimGrid->_simd_layout[d]);
-     mpi5.push_back(FourDimGrid->_processors[d]);
       cb5.push_back(  1);
   }
-  return new GridRedBlackCartesian(latt5,simd5,mpi5,cb5,cbd); 
+  GridCartesian *tmp = makeFiveDimGrid(Ls,FourDimGrid);
+  GridRedBlackCartesian *ret = new GridRedBlackCartesian(tmp,cb5,cbd); 
+  delete tmp;
+  return ret;
 }
 
 
@@ -97,26 +93,24 @@ GridCartesian         *SpaceTimeGrid::makeFiveDimDWFGrid(int Ls,const GridCartes
     simd5.push_back(1);
      mpi5.push_back(FourDimGrid->_processors[d]);
   }
-  return new GridCartesian(latt5,simd5,mpi5); 
+  return new GridCartesian(latt5,simd5,mpi5,*FourDimGrid); 
 }
-
+///////////////////////////////////////////////////
+// Interface is inefficient and forces the deletion
+// Pass in the non-redblack grid
+///////////////////////////////////////////////////
 GridRedBlackCartesian *SpaceTimeGrid::makeFiveDimDWFRedBlackGrid(int Ls,const GridCartesian *FourDimGrid)
 {
   int N4=FourDimGrid->_ndimension;
-  int nsimd = FourDimGrid->Nsimd();
   int cbd=1;
-  std::vector<int> latt5(1,Ls);
-  std::vector<int> simd5(1,nsimd);
-  std::vector<int>  mpi5(1,1);
   std::vector<int>   cb5(1,0);
-    
   for(int d=0;d<N4;d++){
-    latt5.push_back(FourDimGrid->_fdimensions[d]);
-    simd5.push_back(1);
-     mpi5.push_back(FourDimGrid->_processors[d]);
       cb5.push_back(1);
   }
-  return new GridRedBlackCartesian(latt5,simd5,mpi5,cb5,cbd); 
+  GridCartesian *tmp         = makeFiveDimDWFGrid(Ls,FourDimGrid);
+  GridRedBlackCartesian *ret = new GridRedBlackCartesian(tmp,cb5,cbd); 
+  delete tmp;
+  return ret;
 }
 
 

lib/tensors/Tensor_index.h

@@ -175,7 +175,7 @@ class TensorIndexRecursion {
       }
     }
   template<class vtype,int N> inline static 
-    void pokeIndex(iVector<vtype,N> &ret, const iVector<decltype(TensorIndexRecursion<Level-1>::peekIndex(ret._internal[0],0)),N> &arg, int i,int j)
+    void pokeIndex(iVector<vtype,N> &ret, const iVector<decltype(TensorIndexRecursion<Level-1>::peekIndex(ret._internal[0],0,0)),N> &arg, int i,int j)
     {
       for(int ii=0;ii<N;ii++){
 	TensorIndexRecursion<Level-1>::pokeIndex(ret._internal[ii],arg._internal[ii],i,j);
@@ -191,7 +191,7 @@ class TensorIndexRecursion {
       }}
     }
   template<class vtype,int N> inline static 
-    void pokeIndex(iMatrix<vtype,N> &ret, const iMatrix<decltype(TensorIndexRecursion<Level-1>::peekIndex(ret._internal[0][0],0)),N> &arg, int i,int j)
+    void pokeIndex(iMatrix<vtype,N> &ret, const iMatrix<decltype(TensorIndexRecursion<Level-1>::peekIndex(ret._internal[0][0],0,0)),N> &arg, int i,int j)
     {
       for(int ii=0;ii<N;ii++){
       for(int jj=0;jj<N;jj++){

lib/util/Init.cc

@@ -243,6 +243,12 @@ void Grid_init(int *argc,char ***argv)
     fname<<CartesianCommunicator::RankWorld();
     fp=freopen(fname.str().c_str(),"w",stdout);
     assert(fp!=(FILE *)NULL);
+
+    std::ostringstream ename;
+    ename<<"Grid.stderr.";
+    ename<<CartesianCommunicator::RankWorld();
+    fp=freopen(ename.str().c_str(),"w",stderr);
+    assert(fp!=(FILE *)NULL);
   }
 
   ////////////////////////////////////

lib/util/Lexicographic.h

@@ -7,7 +7,7 @@ namespace Grid{
   class Lexicographic {
   public:
 
-    static inline void CoorFromIndex (std::vector<int>& coor,int index,std::vector<int> &dims){
+    static inline void CoorFromIndex (std::vector<int>& coor,int index,const std::vector<int> &dims){
       int nd= dims.size();
       coor.resize(nd);
       for(int d=0;d<nd;d++){
@@ -16,7 +16,7 @@ namespace Grid{
       }
     }
 
-    static inline void IndexFromCoor (std::vector<int>& coor,int &index,std::vector<int> &dims){
+    static inline void IndexFromCoor (const std::vector<int>& coor,int &index,const std::vector<int> &dims){
       int nd=dims.size();
       int stride=1;
       index=0;

tests/Test_stencil.cc

@@ -48,7 +48,7 @@ int main(int argc, char ** argv) {
   double volume = latt_size[0]*latt_size[1]*latt_size[2]*latt_size[3];
 
   GridCartesian Fine(latt_size,simd_layout,mpi_layout);
-  GridRedBlackCartesian rbFine(latt_size,simd_layout,mpi_layout);
+  GridRedBlackCartesian rbFine(&Fine);
   GridParallelRNG       fRNG(&Fine);
 
   //  fRNG.SeedFixedIntegers(std::vector<int>({45,12,81,9});

tests/core/Test_cshift_red_black.cc

@@ -47,7 +47,7 @@ int main (int argc, char ** argv)
   mask[0]=0;
 
   GridCartesian         Fine  (latt_size,simd_layout,mpi_layout);
-  GridRedBlackCartesian RBFine(latt_size,simd_layout,mpi_layout,mask,1);
+  GridRedBlackCartesian RBFine(&Fine,mask,1);
 
   GridParallelRNG      FineRNG(&Fine);  FineRNG.SeedFixedIntegers(std::vector<int>({45,12,81,9}));
 

tests/core/Test_cshift_red_black_rotate.cc

@@ -47,7 +47,7 @@ int main (int argc, char ** argv)
   mask[0]=0;
 
   GridCartesian         Fine  (latt_size,simd_layout,mpi_layout);
-  GridRedBlackCartesian RBFine(latt_size,simd_layout,mpi_layout,mask,1);
+  GridRedBlackCartesian RBFine(&Fine,mask,1);
 
   GridParallelRNG      FineRNG(&Fine);  FineRNG.SeedFixedIntegers(std::vector<int>({45,12,81,9}));
 

tests/core/Test_dwf_eofa_even_odd.cc

@@ -0,0 +1,239 @@
+/*************************************************************************************
+
+Grid physics library, www.github.com/paboyle/Grid
+
+Source file: ./tests/core/Test_dwf_eofa_even_odd.cc
+
+Copyright (C) 2017
+
+Author: Peter Boyle <paboyle@ph.ed.ac.uk>
+Author: paboyle <paboyle@ph.ed.ac.uk>
+Author: David Murphy <dmurphy@phys.columbia.edu>
+
+This program is free software; you can redistribute it and/or modify
+it under the terms of the GNU General Public License as published by
+the Free Software Foundation; either version 2 of the License, or
+(at your option) any later version.
+
+This program is distributed in the hope that it will be useful,
+but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+GNU General Public License for more details.
+
+You should have received a copy of the GNU General Public License along
+with this program; if not, write to the Free Software Foundation, Inc.,
+51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
+
+See the full license in the file "LICENSE" in the top level distribution directory
+*************************************************************************************/
+/*  END LEGAL */
+
+#include <Grid/Grid.h>
+
+using namespace std;
+using namespace Grid;
+using namespace Grid::QCD;
+
+template<class d>
+struct scal {
+    d internal;
+};
+
+Gamma::Algebra Gmu [] = {
+    Gamma::Algebra::GammaX,
+    Gamma::Algebra::GammaY,
+    Gamma::Algebra::GammaZ,
+    Gamma::Algebra::GammaT
+};
+
+int main (int argc, char ** argv)
+{
+    Grid_init(&argc, &argv);
+
+    int threads = GridThread::GetThreads();
+    std::cout << GridLogMessage << "Grid is setup to use " << threads << " threads" << std::endl;
+
+    const int Ls = 8;
+    // GridCartesian*         UGrid   = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplex::Nsimd()), GridDefaultMpi());
+    GridCartesian*         UGrid   = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplex::Nsimd()), GridDefaultMpi());
+    GridCartesian*         FGrid   = SpaceTimeGrid::makeFiveDimGrid(Ls, UGrid);
+    GridRedBlackCartesian* UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
+    GridRedBlackCartesian* FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls, UGrid);
+
+    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);
+
+    LatticeFermion    src   (FGrid); random(RNG5, src);
+    LatticeFermion    phi   (FGrid); random(RNG5, phi);
+    LatticeFermion    chi   (FGrid); random(RNG5, chi);
+    LatticeFermion    result(FGrid); result = zero;
+    LatticeFermion    ref   (FGrid); ref = zero;
+    LatticeFermion    tmp   (FGrid); tmp = zero;
+    LatticeFermion    err   (FGrid); err = zero;
+    LatticeGaugeField Umu   (UGrid); SU3::HotConfiguration(RNG4, Umu);
+    std::vector<LatticeColourMatrix> U(4,UGrid);
+
+    // Only one non-zero (y)
+    Umu = zero;
+    for(int nn=0; nn<Nd; nn++){
+        random(RNG4, U[nn]);
+        if(nn>0){ U[nn] = zero; }
+        PokeIndex<LorentzIndex>(Umu, U[nn], nn);
+    }
+
+    RealD mq1   = 0.1;
+    RealD mq2   = 0.5;
+    RealD mq3   = 1.0;
+    RealD shift = 0.1234;
+    RealD M5    = 1.8;
+    int   pm    = 1;
+    DomainWallEOFAFermionR Ddwf(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mq1, mq2, mq3, shift, pm, M5);
+
+    LatticeFermion src_e (FrbGrid);
+    LatticeFermion src_o (FrbGrid);
+    LatticeFermion r_e   (FrbGrid);
+    LatticeFermion r_o   (FrbGrid);
+    LatticeFermion r_eo  (FGrid);
+    LatticeFermion r_eeoo(FGrid);
+
+    std::cout << GridLogMessage << "==========================================================" << std::endl;
+    std::cout << GridLogMessage << "= Testing that Meo + Moe + Moo + Mee = Munprec " << std::endl;
+    std::cout << GridLogMessage << "==========================================================" << std::endl;
+
+    pickCheckerboard(Even, src_e, src);
+    pickCheckerboard(Odd,  src_o, src);
+
+    Ddwf.Meooe(src_e, r_o); std::cout << GridLogMessage << "Applied Meo" << std::endl;
+    Ddwf.Meooe(src_o, r_e); std::cout << GridLogMessage << "Applied Moe" << std::endl;
+    setCheckerboard(r_eo, r_o);
+    setCheckerboard(r_eo, r_e);
+
+    Ddwf.Mooee(src_e, r_e); std::cout << GridLogMessage << "Applied Mee" << std::endl;
+    Ddwf.Mooee(src_o, r_o); std::cout << GridLogMessage << "Applied Moo" << std::endl;
+    setCheckerboard(r_eeoo, r_e);
+    setCheckerboard(r_eeoo, r_o);
+
+    r_eo = r_eo + r_eeoo;
+    Ddwf.M(src, ref);
+
+    // std::cout << GridLogMessage << r_eo << std::endl;
+    // std::cout << GridLogMessage << ref  << std::endl;
+
+    err = ref - r_eo;
+    std::cout << GridLogMessage << "EO norm diff   " << norm2(err) << " " << norm2(ref) << " " << norm2(r_eo) << std::endl;
+
+    LatticeComplex cerr(FGrid);
+    cerr = localInnerProduct(err,err);
+    // std::cout << GridLogMessage << cerr << std::endl;
+
+    std::cout << GridLogMessage << "==============================================================" << std::endl;
+    std::cout << GridLogMessage << "= Test Ddagger is the dagger of D by requiring                " << std::endl;
+    std::cout << GridLogMessage << "=  < phi | Deo | chi > * = < chi | Deo^dag| phi>  " << std::endl;
+    std::cout << GridLogMessage << "==============================================================" << std::endl;
+
+    LatticeFermion chi_e (FrbGrid);
+    LatticeFermion chi_o (FrbGrid);
+
+    LatticeFermion dchi_e(FrbGrid);
+    LatticeFermion dchi_o(FrbGrid);
+
+    LatticeFermion phi_e (FrbGrid);
+    LatticeFermion phi_o (FrbGrid);
+
+    LatticeFermion dphi_e(FrbGrid);
+    LatticeFermion dphi_o(FrbGrid);
+
+    pickCheckerboard(Even, chi_e, chi);
+    pickCheckerboard(Odd , chi_o, chi);
+    pickCheckerboard(Even, phi_e, phi);
+    pickCheckerboard(Odd , phi_o, phi);
+
+    Ddwf.Meooe   (chi_e, dchi_o);
+    Ddwf.Meooe   (chi_o, dchi_e);
+    Ddwf.MeooeDag(phi_e, dphi_o);
+    Ddwf.MeooeDag(phi_o, dphi_e);
+
+    ComplexD pDce = innerProduct(phi_e, dchi_e);
+    ComplexD pDco = innerProduct(phi_o, dchi_o);
+    ComplexD cDpe = innerProduct(chi_e, dphi_e);
+    ComplexD cDpo = innerProduct(chi_o, dphi_o);
+
+    std::cout << GridLogMessage << "e " << pDce << " " << cDpe << std::endl;
+    std::cout << GridLogMessage << "o " << pDco << " " << cDpo << std::endl;
+
+    std::cout << GridLogMessage << "pDce - conj(cDpo) " << pDce-conj(cDpo) << std::endl;
+    std::cout << GridLogMessage << "pDco - conj(cDpe) " << pDco-conj(cDpe) << std::endl;
+
+    std::cout << GridLogMessage << "==============================================================" << std::endl;
+    std::cout << GridLogMessage << "= Test MeeInv Mee = 1                                         " << std::endl;
+    std::cout << GridLogMessage << "==============================================================" << std::endl;
+
+    pickCheckerboard(Even, chi_e, chi);
+    pickCheckerboard(Odd , chi_o, chi);
+
+    Ddwf.Mooee   (chi_e, src_e);
+    Ddwf.MooeeInv(src_e, phi_e);
+
+    Ddwf.Mooee   (chi_o, src_o);
+    Ddwf.MooeeInv(src_o, phi_o);
+
+    setCheckerboard(phi, phi_e);
+    setCheckerboard(phi, phi_o);
+
+    err = phi - chi;
+    std::cout << GridLogMessage << "norm diff   " << norm2(err) << std::endl;
+
+    std::cout << GridLogMessage << "==============================================================" << std::endl;
+    std::cout << GridLogMessage << "= Test MeeInvDag MeeDag = 1                                   " << std::endl;
+    std::cout << GridLogMessage << "==============================================================" << std::endl;
+
+    pickCheckerboard(Even, chi_e, chi);
+    pickCheckerboard(Odd , chi_o, chi);
+
+    Ddwf.MooeeDag   (chi_e, src_e);
+    Ddwf.MooeeInvDag(src_e, phi_e);
+
+    Ddwf.MooeeDag   (chi_o, src_o);
+    Ddwf.MooeeInvDag(src_o, phi_o);
+
+    setCheckerboard(phi, phi_e);
+    setCheckerboard(phi, phi_o);
+
+    err = phi - chi;
+    std::cout << GridLogMessage << "norm diff   " << norm2(err) << std::endl;
+
+    std::cout << GridLogMessage << "==============================================================" << std::endl;
+    std::cout << GridLogMessage << "= Test MpcDagMpc is Hermitian              " << std::endl;
+    std::cout << GridLogMessage << "==============================================================" << std::endl;
+
+    random(RNG5, phi);
+    random(RNG5, chi);
+    pickCheckerboard(Even, chi_e, chi);
+    pickCheckerboard(Odd , chi_o, chi);
+    pickCheckerboard(Even, phi_e, phi);
+    pickCheckerboard(Odd , phi_o, phi);
+    RealD t1,t2;
+
+    SchurDiagMooeeOperator<DomainWallEOFAFermionR,LatticeFermion> HermOpEO(Ddwf);
+    HermOpEO.MpcDagMpc(chi_e, dchi_e, t1, t2);
+    HermOpEO.MpcDagMpc(chi_o, dchi_o, t1, t2);
+
+    HermOpEO.MpcDagMpc(phi_e, dphi_e, t1, t2);
+    HermOpEO.MpcDagMpc(phi_o, dphi_o, t1, t2);
+
+    pDce = innerProduct(phi_e, dchi_e);
+    pDco = innerProduct(phi_o, dchi_o);
+    cDpe = innerProduct(chi_e, dphi_e);
+    cDpo = innerProduct(chi_o, dphi_o);
+
+    std::cout << GridLogMessage << "e " << pDce << " " << cDpe << std::endl;
+    std::cout << GridLogMessage << "o " << pDco << " " << cDpo << std::endl;
+
+    std::cout << GridLogMessage << "pDce - conj(cDpo) " << pDco-conj(cDpo) << std::endl;
+    std::cout << GridLogMessage << "pDco - conj(cDpe) " << pDce-conj(cDpe) << std::endl;
+
+    Grid_finalize();
+}

tests/core/Test_fft.cc

@@ -47,7 +47,7 @@ int main (int argc, char ** argv)
     vol = vol * latt_size[d];
   }
   GridCartesian         GRID(latt_size,simd_layout,mpi_layout);
-  GridRedBlackCartesian RBGRID(latt_size,simd_layout,mpi_layout);
+  GridRedBlackCartesian RBGRID(&GRID);
 
   LatticeComplexD     one(&GRID);
   LatticeComplexD      zz(&GRID);

tests/core/Test_gpwilson_even_odd.cc

@@ -40,7 +40,7 @@ int main (int argc, char ** argv)
   std::vector<int> simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
   std::vector<int> mpi_layout  = GridDefaultMpi();
   GridCartesian               Grid(latt_size,simd_layout,mpi_layout);
-  GridRedBlackCartesian     RBGrid(latt_size,simd_layout,mpi_layout);
+  GridRedBlackCartesian     RBGrid(&Grid);
 
   int threads = GridThread::GetThreads();
   std::cout<<GridLogMessage << "Grid is setup to use "<<threads<<" threads"<<std::endl;

tests/core/Test_main.cc

@@ -84,7 +84,7 @@ int main(int argc, char **argv) {
       double volume = latt_size[0] * latt_size[1] * latt_size[2] * latt_size[3];
 
       GridCartesian Fine(latt_size, simd_layout, mpi_layout);
-      GridRedBlackCartesian rbFine(latt_size, simd_layout, mpi_layout);
+      GridRedBlackCartesian rbFine(&Fine);
       GridParallelRNG FineRNG(&Fine);
       GridSerialRNG SerialRNG;
       GridSerialRNG SerialRNG1;

tests/core/Test_mobius_eofa_even_odd.cc

@@ -0,0 +1,241 @@
+/*************************************************************************************
+
+Grid physics library, www.github.com/paboyle/Grid
+
+Source file: ./tests/core/Test_dwf_eofa_even_odd.cc
+
+Copyright (C) 2017
+
+Author: Peter Boyle <paboyle@ph.ed.ac.uk>
+Author: paboyle <paboyle@ph.ed.ac.uk>
+Author: David Murphy <dmurphy@phys.columbia.edu>
+
+This program is free software; you can redistribute it and/or modify
+it under the terms of the GNU General Public License as published by
+the Free Software Foundation; either version 2 of the License, or
+(at your option) any later version.
+
+This program is distributed in the hope that it will be useful,
+but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+GNU General Public License for more details.
+
+You should have received a copy of the GNU General Public License along
+with this program; if not, write to the Free Software Foundation, Inc.,
+51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
+
+See the full license in the file "LICENSE" in the top level distribution directory
+*************************************************************************************/
+/*  END LEGAL */
+
+#include <Grid/Grid.h>
+
+using namespace std;
+using namespace Grid;
+using namespace Grid::QCD;
+
+template<class d>
+struct scal {
+    d internal;
+};
+
+Gamma::Algebra Gmu [] = {
+    Gamma::Algebra::GammaX,
+    Gamma::Algebra::GammaY,
+    Gamma::Algebra::GammaZ,
+    Gamma::Algebra::GammaT
+};
+
+int main (int argc, char ** argv)
+{
+    Grid_init(&argc, &argv);
+
+    int threads = GridThread::GetThreads();
+    std::cout << GridLogMessage << "Grid is setup to use " << threads << " threads" << std::endl;
+
+    const int Ls = 8;
+    // GridCartesian*         UGrid   = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplex::Nsimd()), GridDefaultMpi());
+    GridCartesian*         UGrid   = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplex::Nsimd()), GridDefaultMpi());
+    GridCartesian*         FGrid   = SpaceTimeGrid::makeFiveDimGrid(Ls, UGrid);
+    GridRedBlackCartesian* UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
+    GridRedBlackCartesian* FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls, UGrid);
+
+    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);
+
+    LatticeFermion    src   (FGrid); random(RNG5, src);
+    LatticeFermion    phi   (FGrid); random(RNG5, phi);
+    LatticeFermion    chi   (FGrid); random(RNG5, chi);
+    LatticeFermion    result(FGrid); result = zero;
+    LatticeFermion    ref   (FGrid); ref = zero;
+    LatticeFermion    tmp   (FGrid); tmp = zero;
+    LatticeFermion    err   (FGrid); err = zero;
+    LatticeGaugeField Umu   (UGrid); SU3::HotConfiguration(RNG4, Umu);
+    std::vector<LatticeColourMatrix> U(4,UGrid);
+
+    // Only one non-zero (y)
+    Umu = zero;
+    for(int nn=0; nn<Nd; nn++){
+        random(RNG4, U[nn]);
+        if(nn>0){ U[nn] = zero; }
+        PokeIndex<LorentzIndex>(Umu, U[nn], nn);
+    }
+
+    RealD b     = 2.5;
+    RealD c     = 1.5;
+    RealD mq1   = 0.1;
+    RealD mq2   = 0.5;
+    RealD mq3   = 1.0;
+    RealD shift = 0.1234;
+    RealD M5    = 1.8;
+    int   pm    = 1;
+    MobiusEOFAFermionR Ddwf(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mq1, mq2, mq3, shift, pm, M5, b, c);
+
+    LatticeFermion src_e (FrbGrid);
+    LatticeFermion src_o (FrbGrid);
+    LatticeFermion r_e   (FrbGrid);
+    LatticeFermion r_o   (FrbGrid);
+    LatticeFermion r_eo  (FGrid);
+    LatticeFermion r_eeoo(FGrid);
+
+    std::cout << GridLogMessage << "==========================================================" << std::endl;
+    std::cout << GridLogMessage << "= Testing that Meo + Moe + Moo + Mee = Munprec " << std::endl;
+    std::cout << GridLogMessage << "==========================================================" << std::endl;
+
+    pickCheckerboard(Even, src_e, src);
+    pickCheckerboard(Odd,  src_o, src);
+
+    Ddwf.Meooe(src_e, r_o); std::cout << GridLogMessage << "Applied Meo" << std::endl;
+    Ddwf.Meooe(src_o, r_e); std::cout << GridLogMessage << "Applied Moe" << std::endl;
+    setCheckerboard(r_eo, r_o);
+    setCheckerboard(r_eo, r_e);
+
+    Ddwf.Mooee(src_e, r_e); std::cout << GridLogMessage << "Applied Mee" << std::endl;
+    Ddwf.Mooee(src_o, r_o); std::cout << GridLogMessage << "Applied Moo" << std::endl;
+    setCheckerboard(r_eeoo, r_e);
+    setCheckerboard(r_eeoo, r_o);
+
+    r_eo = r_eo + r_eeoo;
+    Ddwf.M(src, ref);
+
+    // std::cout << GridLogMessage << r_eo << std::endl;
+    // std::cout << GridLogMessage << ref  << std::endl;
+
+    err = ref - r_eo;
+    std::cout << GridLogMessage << "EO norm diff   " << norm2(err) << " " << norm2(ref) << " " << norm2(r_eo) << std::endl;
+
+    LatticeComplex cerr(FGrid);
+    cerr = localInnerProduct(err,err);
+    // std::cout << GridLogMessage << cerr << std::endl;
+
+    std::cout << GridLogMessage << "==============================================================" << std::endl;
+    std::cout << GridLogMessage << "= Test Ddagger is the dagger of D by requiring                " << std::endl;
+    std::cout << GridLogMessage << "=  < phi | Deo | chi > * = < chi | Deo^dag| phi>  " << std::endl;
+    std::cout << GridLogMessage << "==============================================================" << std::endl;
+
+    LatticeFermion chi_e (FrbGrid);
+    LatticeFermion chi_o (FrbGrid);
+
+    LatticeFermion dchi_e(FrbGrid);
+    LatticeFermion dchi_o(FrbGrid);
+
+    LatticeFermion phi_e (FrbGrid);
+    LatticeFermion phi_o (FrbGrid);
+
+    LatticeFermion dphi_e(FrbGrid);
+    LatticeFermion dphi_o(FrbGrid);
+
+    pickCheckerboard(Even, chi_e, chi);
+    pickCheckerboard(Odd , chi_o, chi);
+    pickCheckerboard(Even, phi_e, phi);
+    pickCheckerboard(Odd , phi_o, phi);
+
+    Ddwf.Meooe   (chi_e, dchi_o);
+    Ddwf.Meooe   (chi_o, dchi_e);
+    Ddwf.MeooeDag(phi_e, dphi_o);
+    Ddwf.MeooeDag(phi_o, dphi_e);
+
+    ComplexD pDce = innerProduct(phi_e, dchi_e);
+    ComplexD pDco = innerProduct(phi_o, dchi_o);
+    ComplexD cDpe = innerProduct(chi_e, dphi_e);
+    ComplexD cDpo = innerProduct(chi_o, dphi_o);
+
+    std::cout << GridLogMessage << "e " << pDce << " " << cDpe << std::endl;
+    std::cout << GridLogMessage << "o " << pDco << " " << cDpo << std::endl;
+
+    std::cout << GridLogMessage << "pDce - conj(cDpo) " << pDce-conj(cDpo) << std::endl;
+    std::cout << GridLogMessage << "pDco - conj(cDpe) " << pDco-conj(cDpe) << std::endl;
+
+    std::cout << GridLogMessage << "==============================================================" << std::endl;
+    std::cout << GridLogMessage << "= Test MeeInv Mee = 1                                         " << std::endl;
+    std::cout << GridLogMessage << "==============================================================" << std::endl;
+
+    pickCheckerboard(Even, chi_e, chi);
+    pickCheckerboard(Odd , chi_o, chi);
+
+    Ddwf.Mooee   (chi_e, src_e);
+    Ddwf.MooeeInv(src_e, phi_e);
+
+    Ddwf.Mooee   (chi_o, src_o);
+    Ddwf.MooeeInv(src_o, phi_o);
+
+    setCheckerboard(phi, phi_e);
+    setCheckerboard(phi, phi_o);
+
+    err = phi - chi;
+    std::cout << GridLogMessage << "norm diff   " << norm2(err) << std::endl;
+
+    std::cout << GridLogMessage << "==============================================================" << std::endl;
+    std::cout << GridLogMessage << "= Test MeeInvDag MeeDag = 1                                   " << std::endl;
+    std::cout << GridLogMessage << "==============================================================" << std::endl;
+
+    pickCheckerboard(Even, chi_e, chi);
+    pickCheckerboard(Odd , chi_o, chi);
+
+    Ddwf.MooeeDag   (chi_e, src_e);
+    Ddwf.MooeeInvDag(src_e, phi_e);
+
+    Ddwf.MooeeDag   (chi_o, src_o);
+    Ddwf.MooeeInvDag(src_o, phi_o);
+
+    setCheckerboard(phi, phi_e);
+    setCheckerboard(phi, phi_o);
+
+    err = phi - chi;
+    std::cout << GridLogMessage << "norm diff   " << norm2(err) << std::endl;
+
+    std::cout << GridLogMessage << "==============================================================" << std::endl;
+    std::cout << GridLogMessage << "= Test MpcDagMpc is Hermitian              " << std::endl;
+    std::cout << GridLogMessage << "==============================================================" << std::endl;
+
+    random(RNG5, phi);
+    random(RNG5, chi);
+    pickCheckerboard(Even, chi_e, chi);
+    pickCheckerboard(Odd , chi_o, chi);
+    pickCheckerboard(Even, phi_e, phi);
+    pickCheckerboard(Odd , phi_o, phi);
+    RealD t1,t2;
+
+    SchurDiagMooeeOperator<MobiusEOFAFermionR,LatticeFermion> HermOpEO(Ddwf);
+    HermOpEO.MpcDagMpc(chi_e, dchi_e, t1, t2);
+    HermOpEO.MpcDagMpc(chi_o, dchi_o, t1, t2);
+
+    HermOpEO.MpcDagMpc(phi_e, dphi_e, t1, t2);
+    HermOpEO.MpcDagMpc(phi_o, dphi_o, t1, t2);
+
+    pDce = innerProduct(phi_e, dchi_e);
+    pDco = innerProduct(phi_o, dchi_o);
+    cDpe = innerProduct(chi_e, dphi_e);
+    cDpo = innerProduct(chi_o, dphi_o);
+
+    std::cout << GridLogMessage << "e " << pDce << " " << cDpe << std::endl;
+    std::cout << GridLogMessage << "o " << pDco << " " << cDpo << std::endl;
+
+    std::cout << GridLogMessage << "pDce - conj(cDpo) " << pDco-conj(cDpo) << std::endl;
+    std::cout << GridLogMessage << "pDco - conj(cDpe) " << pDce-conj(cDpe) << std::endl;
+
+    Grid_finalize();
+}

tests/core/Test_staggered.cc

@@ -40,7 +40,7 @@ int main (int argc, char ** argv)
   std::vector<int> simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
   std::vector<int> mpi_layout  = GridDefaultMpi();
   GridCartesian               Grid(latt_size,simd_layout,mpi_layout);
-  GridRedBlackCartesian     RBGrid(latt_size,simd_layout,mpi_layout);
+  GridRedBlackCartesian     RBGrid(&Grid);
 
   int threads = GridThread::GetThreads();
   std::cout<<GridLogMessage << "Grid is setup to use "<<threads<<" threads"<<std::endl;

tests/core/Test_wilson_even_odd.cc

@@ -51,7 +51,7 @@ int main (int argc, char ** argv)
   std::vector<int> simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
   std::vector<int> mpi_layout  = GridDefaultMpi();
   GridCartesian               Grid(latt_size,simd_layout,mpi_layout);
-  GridRedBlackCartesian     RBGrid(latt_size,simd_layout,mpi_layout);
+  GridRedBlackCartesian     RBGrid(&Grid);
 
   int threads = GridThread::GetThreads();
   std::cout<<GridLogMessage << "Grid is setup to use "<<threads<<" threads"<<std::endl;

tests/core/Test_wilson_twisted_mass_even_odd.cc

@@ -52,7 +52,7 @@ int main (int argc, char ** argv)
   std::vector<int> simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
   std::vector<int> mpi_layout  = GridDefaultMpi();
   GridCartesian               Grid(latt_size,simd_layout,mpi_layout);
-  GridRedBlackCartesian     RBGrid(latt_size,simd_layout,mpi_layout);
+  GridRedBlackCartesian     RBGrid(&Grid);
 
   int threads = GridThread::GetThreads();
   std::cout<<GridLogMessage << "Grid is setup to use "<<threads<<" threads"<<std::endl;

tests/debug/Test_heatbath_dwf_eofa.cc

@@ -0,0 +1,102 @@
+    /*************************************************************************************
+
+    Grid physics library, www.github.com/paboyle/Grid
+
+    Source file: ./tests/debug/Test_heatbath_dwf_eofa.cc
+
+    Copyright (C) 2017
+
+Author: Peter Boyle <paboyle@ph.ed.ac.uk>
+Author: paboyle <paboyle@ph.ed.ac.uk>
+Author: David Murphy <dmurphy@phys.columbia.edu>
+
+    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 */
+
+//////////////////////////////////////////////////////////////////////////////////////////
+// This program sets up the initial pseudofermion field |Phi> = Meofa^{-1/2}*|eta>, and
+// then uses this Phi to compute the action <Phi|Meofa|Phi>.
+// If all is working, one should find that <eta|eta> = <Phi|Meofa|Phi>.
+//////////////////////////////////////////////////////////////////////////////////////////
+
+#include <Grid/Grid.h>
+
+using namespace std;
+using namespace Grid;
+using namespace Grid::QCD;
+
+// Parameters for test
+const std::vector<int> grid_dim = { 8, 8, 8, 8 };
+const int              Ls       = 8;
+const int              Npoles   = 12;
+const RealD            mf       = 0.01;
+const RealD            mpv      = 1.0;
+const RealD            M5       = 1.8;
+
+int main(int argc, char** argv)
+{
+  Grid_init(&argc, &argv);
+
+  int threads = GridThread::GetThreads();
+  std::cout << GridLogMessage << "Grid is set up to use " << threads << " threads" << std::endl;
+
+  // Initialize spacetime grid
+  std::cout << GridLogMessage << "Lattice dimensions: " << grid_dim << "  Ls: " << Ls << std::endl;
+  GridCartesian*         UGrid   = SpaceTimeGrid::makeFourDimGrid(grid_dim,
+                                      GridDefaultSimd(Nd,vComplex::Nsimd()), GridDefaultMpi());
+  GridRedBlackCartesian* UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
+  GridCartesian*         FGrid   = SpaceTimeGrid::makeFiveDimGrid(Ls, UGrid);
+  GridRedBlackCartesian* FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls, UGrid);
+
+  // Set up RNGs
+  std::vector<int> seeds4({1, 2, 3, 4});
+  std::vector<int> seeds5({5, 6, 7, 8});
+  GridParallelRNG RNG5(FGrid);
+  RNG5.SeedFixedIntegers(seeds5);
+  GridParallelRNG RNG4(UGrid);
+  RNG4.SeedFixedIntegers(seeds4);
+
+  // Random gauge field
+  LatticeGaugeField Umu(UGrid);
+  SU3::HotConfiguration(RNG4, Umu);
+
+  DomainWallEOFAFermionR Lop(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mf,  mf, mpv,  0.0, -1, M5);
+  DomainWallEOFAFermionR Rop(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mpv, mf, mpv, -1.0,  1, M5);
+
+  // Construct the action and test the heatbath (zero initial guess)
+  {
+    OneFlavourRationalParams Params(0.95, 100.0, 5000, 1.0e-12, Npoles);
+    ConjugateGradient<LatticeFermion> CG(1.0e-12, 5000);
+    ExactOneFlavourRatioPseudoFermionAction<WilsonImplR> Meofa(Lop, Rop, CG, Params, false);
+
+    Meofa.refresh(Umu, RNG5);
+    printf("<Phi|Meofa|Phi> = %1.15e\n", Meofa.S(Umu));
+  }
+
+  // Construct the action and test the heatbath (forecasted initial guesses)
+  {
+    OneFlavourRationalParams Params(0.95, 100.0, 5000, 1.0e-12, Npoles);
+    ConjugateGradient<LatticeFermion> CG(1.0e-12, 5000);
+    ExactOneFlavourRatioPseudoFermionAction<WilsonImplR> Meofa(Lop, Rop, CG, Params, true);
+
+    Meofa.refresh(Umu, RNG5);
+    printf("<Phi|Meofa|Phi> = %1.15e\n", Meofa.S(Umu));
+  }
+
+  return 0;
+}

tests/debug/Test_heatbath_dwf_eofa_gparity.cc

@@ -0,0 +1,108 @@
+    /*************************************************************************************
+
+    Grid physics library, www.github.com/paboyle/Grid
+
+    Source file: ./tests/debug/Test_heatbath_dwf_eofa.cc
+
+    Copyright (C) 2017
+
+Author: Peter Boyle <paboyle@ph.ed.ac.uk>
+Author: paboyle <paboyle@ph.ed.ac.uk>
+Author: David Murphy <dmurphy@phys.columbia.edu>
+
+    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 */
+
+//////////////////////////////////////////////////////////////////////////////////////////
+// This program sets up the initial pseudofermion field |Phi> = Meofa^{-1/2}*|eta>, and
+// then uses this Phi to compute the action <Phi|Meofa|Phi>.
+// If all is working, one should find that <eta|eta> = <Phi|Meofa|Phi>.
+//////////////////////////////////////////////////////////////////////////////////////////
+
+#include <Grid/Grid.h>
+
+using namespace std;
+using namespace Grid;
+using namespace Grid::QCD;
+
+typedef GparityWilsonImplR FermionImplPolicy;
+typedef GparityDomainWallEOFAFermionR FermionAction;
+typedef typename FermionAction::FermionField FermionField;
+
+// Parameters for test
+const std::vector<int> grid_dim = { 8, 8, 8, 8 };
+const int              Ls       = 8;
+const int              Npoles   = 12;
+const RealD            mf       = 0.01;
+const RealD            mpv      = 1.0;
+const RealD            M5       = 1.8;
+
+int main(int argc, char** argv)
+{
+  Grid_init(&argc, &argv);
+
+  int threads = GridThread::GetThreads();
+  std::cout << GridLogMessage << "Grid is set up to use " << threads << " threads" << std::endl;
+
+  // Initialize spacetime grid
+  std::cout << GridLogMessage << "Lattice dimensions: " << grid_dim << "  Ls: " << Ls << std::endl;
+  GridCartesian*         UGrid   = SpaceTimeGrid::makeFourDimGrid(grid_dim,
+                                      GridDefaultSimd(Nd,vComplex::Nsimd()), GridDefaultMpi());
+  GridRedBlackCartesian* UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
+  GridCartesian*         FGrid   = SpaceTimeGrid::makeFiveDimGrid(Ls, UGrid);
+  GridRedBlackCartesian* FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls, UGrid);
+
+  // Set up RNGs
+  std::vector<int> seeds4({1, 2, 3, 4});
+  std::vector<int> seeds5({5, 6, 7, 8});
+  GridParallelRNG RNG5(FGrid);
+  RNG5.SeedFixedIntegers(seeds5);
+  GridParallelRNG RNG4(UGrid);
+  RNG4.SeedFixedIntegers(seeds4);
+
+  // Random gauge field
+  LatticeGaugeField Umu(UGrid);
+  SU3::HotConfiguration(RNG4, Umu);
+
+  // GparityDomainWallFermionR::ImplParams params;
+  FermionAction::ImplParams params;
+  FermionAction Lop(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mf,  mf, mpv,  0.0, -1, M5, params);
+  FermionAction Rop(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mpv, mf, mpv, -1.0,  1, M5, params);
+
+  // Construct the action and test the heatbath (zero initial guess)
+  {
+    OneFlavourRationalParams Params(0.95, 100.0, 5000, 1.0e-12, Npoles);
+    ConjugateGradient<FermionField> CG(1.0e-12, 5000);
+    ExactOneFlavourRatioPseudoFermionAction<FermionImplPolicy> Meofa(Lop, Rop, CG, Params, false);
+
+    Meofa.refresh(Umu, RNG5);
+    printf("<Phi|Meofa|Phi> = %1.15e\n", Meofa.S(Umu));
+  }
+
+  // Construct the action and test the heatbath (forecasted initial guesses)
+  {
+    OneFlavourRationalParams Params(0.95, 100.0, 5000, 1.0e-12, Npoles);
+    ConjugateGradient<FermionField> CG(1.0e-12, 5000);
+    ExactOneFlavourRatioPseudoFermionAction<FermionImplPolicy> Meofa(Lop, Rop, CG, Params, true);
+
+    Meofa.refresh(Umu, RNG5);
+    printf("<Phi|Meofa|Phi> = %1.15e\n", Meofa.S(Umu));
+  }
+
+  return 0;
+}

tests/debug/Test_heatbath_mobius_eofa.cc

@@ -0,0 +1,104 @@
+/*************************************************************************************
+
+Grid physics library, www.github.com/paboyle/Grid
+
+Source file: ./tests/debug/Test_heatbath_dwf_eofa.cc
+
+Copyright (C) 2017
+
+Author: Peter Boyle <paboyle@ph.ed.ac.uk>
+Author: paboyle <paboyle@ph.ed.ac.uk>
+Author: David Murphy <dmurphy@phys.columbia.edu>
+
+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 */
+
+//////////////////////////////////////////////////////////////////////////////////////////
+// This program sets up the initial pseudofermion field |Phi> = Meofa^{-1/2}*|eta>, and
+// then uses this Phi to compute the action <Phi|Meofa|Phi>.
+// If all is working, one should find that <eta|eta> = <Phi|Meofa|Phi>.
+//////////////////////////////////////////////////////////////////////////////////////////
+
+#include <Grid/Grid.h>
+
+using namespace std;
+using namespace Grid;
+using namespace Grid::QCD;
+
+// Parameters for test
+const std::vector<int> grid_dim = { 8, 8, 8, 8 };
+const int              Ls       = 8;
+const int              Npoles   = 12;
+const RealD            b        = 2.5;
+const RealD            c        = 1.5;
+const RealD            mf       = 0.01;
+const RealD            mpv      = 1.0;
+const RealD            M5       = 1.8;
+
+int main(int argc, char** argv)
+{
+  Grid_init(&argc, &argv);
+
+  int threads = GridThread::GetThreads();
+  std::cout << GridLogMessage << "Grid is set up to use " << threads << " threads" << std::endl;
+
+  // Initialize spacetime grid
+  std::cout << GridLogMessage << "Lattice dimensions: " << grid_dim << "  Ls: " << Ls << std::endl;
+  GridCartesian*         UGrid   = SpaceTimeGrid::makeFourDimGrid(grid_dim,
+                                    GridDefaultSimd(Nd,vComplex::Nsimd()), GridDefaultMpi());
+  GridRedBlackCartesian* UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
+  GridCartesian*         FGrid   = SpaceTimeGrid::makeFiveDimGrid(Ls, UGrid);
+  GridRedBlackCartesian* FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls, UGrid);
+
+  // Set up RNGs
+  std::vector<int> seeds4({1, 2, 3, 4});
+  std::vector<int> seeds5({5, 6, 7, 8});
+  GridParallelRNG RNG5(FGrid);
+  RNG5.SeedFixedIntegers(seeds5);
+  GridParallelRNG RNG4(UGrid);
+  RNG4.SeedFixedIntegers(seeds4);
+
+  // Random gauge field
+  LatticeGaugeField Umu(UGrid);
+  SU3::HotConfiguration(RNG4, Umu);
+
+  MobiusEOFAFermionR Lop(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mf,  mf, mpv,  0.0, -1, M5, b, c);
+  MobiusEOFAFermionR Rop(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mpv, mf, mpv, -1.0,  1, M5, b, c);
+
+  // Construct the action and test the heatbath (zero initial guess)
+  {
+    OneFlavourRationalParams Params(0.95, 100.0, 5000, 1.0e-12, Npoles);
+    ConjugateGradient<LatticeFermion> CG(1.0e-12, 5000);
+    ExactOneFlavourRatioPseudoFermionAction<WilsonImplR> Meofa(Lop, Rop, CG, Params, false);
+
+    Meofa.refresh(Umu, RNG5);
+    printf("<Phi|Meofa|Phi> = %1.15e\n", Meofa.S(Umu));
+  }
+
+  // Construct the action and test the heatbath (forecasted initial guesses)
+  {
+    OneFlavourRationalParams Params(0.95, 100.0, 5000, 1.0e-12, Npoles);
+    ConjugateGradient<LatticeFermion> CG(1.0e-12, 5000);
+    ExactOneFlavourRatioPseudoFermionAction<WilsonImplR> Meofa(Lop, Rop, CG, Params, true);
+
+    Meofa.refresh(Umu, RNG5);
+    printf("<Phi|Meofa|Phi> = %1.15e\n", Meofa.S(Umu));
+  }
+
+  return 0;
+}

tests/debug/Test_heatbath_mobius_eofa_gparity.cc

@@ -0,0 +1,109 @@
+/*************************************************************************************
+
+Grid physics library, www.github.com/paboyle/Grid
+
+Source file: ./tests/debug/Test_heatbath_dwf_eofa.cc
+
+Copyright (C) 2017
+
+Author: Peter Boyle <paboyle@ph.ed.ac.uk>
+Author: paboyle <paboyle@ph.ed.ac.uk>
+Author: David Murphy <dmurphy@phys.columbia.edu>
+
+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 */
+
+//////////////////////////////////////////////////////////////////////////////////////////
+// This program sets up the initial pseudofermion field |Phi> = Meofa^{-1/2}*|eta>, and
+// then uses this Phi to compute the action <Phi|Meofa|Phi>.
+// If all is working, one should find that <eta|eta> = <Phi|Meofa|Phi>.
+//////////////////////////////////////////////////////////////////////////////////////////
+
+#include <Grid/Grid.h>
+
+using namespace std;
+using namespace Grid;
+using namespace Grid::QCD;
+
+typedef GparityWilsonImplR FermionImplPolicy;
+typedef GparityMobiusEOFAFermionR FermionAction;
+typedef typename FermionAction::FermionField FermionField;
+
+// Parameters for test
+const std::vector<int> grid_dim = { 8, 8, 8, 8 };
+const int              Ls       = 8;
+const int              Npoles   = 12;
+const RealD            b        = 2.5;
+const RealD            c        = 1.5;
+const RealD            mf       = 0.01;
+const RealD            mpv      = 1.0;
+const RealD            M5       = 1.8;
+
+int main(int argc, char** argv)
+{
+  Grid_init(&argc, &argv);
+
+  int threads = GridThread::GetThreads();
+  std::cout << GridLogMessage << "Grid is set up to use " << threads << " threads" << std::endl;
+
+  // Initialize spacetime grid
+  std::cout << GridLogMessage << "Lattice dimensions: " << grid_dim << "  Ls: " << Ls << std::endl;
+  GridCartesian*         UGrid   = SpaceTimeGrid::makeFourDimGrid(grid_dim,
+                                    GridDefaultSimd(Nd,vComplex::Nsimd()), GridDefaultMpi());
+  GridRedBlackCartesian* UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
+  GridCartesian*         FGrid   = SpaceTimeGrid::makeFiveDimGrid(Ls, UGrid);
+  GridRedBlackCartesian* FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls, UGrid);
+
+  // Set up RNGs
+  std::vector<int> seeds4({1, 2, 3, 4});
+  std::vector<int> seeds5({5, 6, 7, 8});
+  GridParallelRNG RNG5(FGrid);
+  RNG5.SeedFixedIntegers(seeds5);
+  GridParallelRNG RNG4(UGrid);
+  RNG4.SeedFixedIntegers(seeds4);
+
+  // Random gauge field
+  LatticeGaugeField Umu(UGrid);
+  SU3::HotConfiguration(RNG4, Umu);
+
+  FermionAction::ImplParams params;
+  FermionAction Lop(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mf,  mf, mpv,  0.0, -1, M5, b, c, params);
+  FermionAction Rop(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mpv, mf, mpv, -1.0,  1, M5, b, c, params);
+
+  // Construct the action and test the heatbath (zero initial guess)
+  {
+    OneFlavourRationalParams Params(0.95, 100.0, 5000, 1.0e-12, Npoles);
+    ConjugateGradient<FermionField> CG(1.0e-12, 5000);
+    ExactOneFlavourRatioPseudoFermionAction<FermionImplPolicy> Meofa(Lop, Rop, CG, Params, false);
+
+    Meofa.refresh(Umu, RNG5);
+    printf("<Phi|Meofa|Phi> = %1.15e\n", Meofa.S(Umu));
+  }
+
+  // Construct the action and test the heatbath (forecasted initial guesses)
+  {
+    OneFlavourRationalParams Params(0.95, 100.0, 5000, 1.0e-12, Npoles);
+    ConjugateGradient<FermionField> CG(1.0e-12, 5000);
+    ExactOneFlavourRatioPseudoFermionAction<FermionImplPolicy> Meofa(Lop, Rop, CG, Params, true);
+
+    Meofa.refresh(Umu, RNG5);
+    printf("<Phi|Meofa|Phi> = %1.15e\n", Meofa.S(Umu));
+  }
+
+  return 0;
+}

tests/debug/Test_reweight_dwf_eofa.cc

@@ -0,0 +1,206 @@
+/*************************************************************************************
+
+Grid physics library, www.github.com/paboyle/Grid
+
+Source file: ./tests/debug/Test_reweight_dwf_eofa.cc
+
+Copyright (C) 2017
+
+Author: Peter Boyle <paboyle@ph.ed.ac.uk>
+Author: paboyle <paboyle@ph.ed.ac.uk>
+Author: David Murphy <dmurphy@phys.columbia.edu>
+
+This program is free software; you can redistribute it and/or modify
+it under the terms of the GNU General Public License as published by
+the Free Software Foundation; either version 2 of the License, or
+(at your option) any later version.
+
+This program is distributed in the hope that it will be useful,
+but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+GNU General Public License for more details.
+
+You should have received a copy of the GNU General Public License along
+with this program; if not, write to the Free Software Foundation, Inc.,
+51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
+
+See the full license in the file "LICENSE" in the top level distribution directory
+*************************************************************************************/
+/*  END LEGAL */
+#include <Grid/Grid.h>
+
+using namespace std;
+using namespace Grid;
+using namespace Grid::QCD;
+
+// parameters for test
+const std::vector<int> grid_dim = { 8, 8, 8, 8 };
+const int Ls = 8;
+const int Nhits = 25;
+const int max_iter = 5000;
+const RealD mf = 0.1;
+const RealD mb = 0.11;
+const RealD M5 = 1.8;
+const RealD stop_tol = 1.0e-12;
+
+RealD mean(const std::vector<RealD>& data)
+{
+    int N = data.size();
+    RealD mean(0.0);
+    for(int i=0; i<N; ++i){ mean += data[i]; }
+    return mean/RealD(N);
+}
+
+RealD jack_mean(const std::vector<RealD>& data, int sample)
+{
+    int N = data.size();
+    RealD mean(0.0);
+    for(int i=0; i<N; ++i){ if(i != sample){ mean += data[i]; } }
+    return mean/RealD(N-1);
+}
+
+RealD jack_std(const std::vector<RealD>& jacks, RealD mean)
+{
+    int N = jacks.size();
+    RealD std(0.0);
+    for(int i=0; i<N; ++i){ std += std::pow(jacks[i]-mean, 2.0); }
+    return std::sqrt(RealD(N-1)/RealD(N)*std);
+}
+
+std::vector<RealD> jack_stats(const std::vector<RealD>& data)
+{
+    int N = data.size();
+    std::vector<RealD> jack_samples(N);
+    std::vector<RealD> jack_stats(2);
+
+    jack_stats[0] = mean(data);
+    for(int i=0; i<N; i++){ jack_samples[i] = jack_mean(data,i); }
+    jack_stats[1] = jack_std(jack_samples, jack_stats[0]);
+    return jack_stats;
+}
+
+int main(int argc, char **argv)
+{
+  Grid_init(&argc, &argv);
+
+  // Initialize spacetime grid
+  std::cout << GridLogMessage << "Lattice dimensions: "
+    << grid_dim << "   Ls: " << Ls << std::endl;
+  GridCartesian* UGrid = SpaceTimeGrid::makeFourDimGrid(grid_dim,
+      GridDefaultSimd(Nd, vComplex::Nsimd()), GridDefaultMpi());
+  GridRedBlackCartesian* UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
+  GridCartesian* FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls, UGrid);
+  GridRedBlackCartesian* FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls, UGrid);
+
+  // Set up RNGs
+  std::vector<int> seeds4({1, 2, 3, 4});
+  std::vector<int> seeds5({5, 6, 7, 8});
+  GridParallelRNG RNG5(FGrid);
+  RNG5.SeedFixedIntegers(seeds5);
+  GridParallelRNG RNG4(UGrid);
+  RNG4.SeedFixedIntegers(seeds4);
+
+  // Random gauge field
+  LatticeGaugeField Umu(UGrid);
+  SU3::HotConfiguration(RNG4, Umu);
+
+  // Initialize RHMC fermion operators
+  DomainWallFermionR Ddwf_f(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mf, M5);
+  DomainWallFermionR Ddwf_b(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mb, M5);
+  SchurDiagMooeeOperator<DomainWallFermionR, LatticeFermion> MdagM(Ddwf_f);
+  SchurDiagMooeeOperator<DomainWallFermionR, LatticeFermion> VdagV(Ddwf_b);
+
+  // Degree 12 rational approximations to x^(1/4) and x^(-1/4)
+  double     lo = 0.0001;
+  double     hi = 95.0;
+  int precision = 64;
+  int    degree = 12;
+  AlgRemez remez(lo, hi, precision);
+  std::cout << GridLogMessage << "Generating degree " << degree << " for x^(1/4)" << std::endl;
+  remez.generateApprox(degree, 1, 4);
+  MultiShiftFunction PowerQuarter(remez, stop_tol, false);
+  MultiShiftFunction PowerNegQuarter(remez, stop_tol, true);
+
+  // Stochastically estimate reweighting factor via RHMC
+  RealD scale = std::sqrt(0.5);
+  std::vector<RealD> rw_rhmc(Nhits);
+  ConjugateGradientMultiShift<LatticeFermion> msCG_V(max_iter, PowerQuarter);
+  ConjugateGradientMultiShift<LatticeFermion> msCG_M(max_iter, PowerNegQuarter);
+  std::cout.precision(12);
+
+  for(int hit=0; hit<Nhits; hit++){
+
+    // Gaussian source
+    LatticeFermion Phi    (Ddwf_f.FermionGrid());
+    LatticeFermion PhiOdd (Ddwf_f.FermionRedBlackGrid());
+    std::vector<LatticeFermion> tmp(2, Ddwf_f.FermionRedBlackGrid());
+    gaussian(RNG5, Phi);
+    Phi = Phi*scale;
+
+    pickCheckerboard(Odd, PhiOdd, Phi);
+
+    // evaluate -log(rw)
+    msCG_V(VdagV, PhiOdd, tmp[0]);
+    msCG_M(MdagM, tmp[0], tmp[1]);
+    rw_rhmc[hit] = norm2(tmp[1]) - norm2(PhiOdd);
+    std::cout << std::endl << "==================================================" << std::endl;
+    std::cout << " --- RHMC: Hit " << hit << ": rw = " << rw_rhmc[hit];
+    std::cout << std::endl << "==================================================" << std::endl << std::endl;
+
+  }
+
+  // Initialize EOFA fermion operators
+  RealD shift_L = 0.0;
+  RealD shift_R = -1.0;
+  int pm = 1;
+  DomainWallEOFAFermionR Deofa_L(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mf, mf, mb, shift_L, pm, M5);
+  DomainWallEOFAFermionR Deofa_R(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mb, mf, mb, shift_R, pm, M5);
+  MdagMLinearOperator<DomainWallEOFAFermionR, LatticeFermion> LdagL(Deofa_L);
+  MdagMLinearOperator<DomainWallEOFAFermionR, LatticeFermion> RdagR(Deofa_R);
+
+  // Stochastically estimate reweighting factor via EOFA
+  RealD k = Deofa_L.k;
+  std::vector<RealD> rw_eofa(Nhits);
+  ConjugateGradient<LatticeFermion> CG(stop_tol, max_iter);
+  SchurRedBlackDiagMooeeSolve<LatticeFermion> SchurSolver(CG);
+
+  for(int hit=0; hit<Nhits; hit++){
+
+    // Gaussian source
+    LatticeFermion Phi       (Deofa_L.FermionGrid());
+    LatticeFermion spProj_Phi(Deofa_L.FermionGrid());
+    std::vector<LatticeFermion> tmp(2, Deofa_L.FermionGrid());
+    gaussian(RNG5, Phi);
+    Phi = Phi*scale;
+
+    // evaluate -log(rw)
+    // LH term
+    for(int s=0; s<Ls; ++s){ axpby_ssp_pminus(spProj_Phi, 0.0, Phi, 1.0, Phi, s, s); }
+    Deofa_L.Omega(spProj_Phi, tmp[0], -1, 0);
+    G5R5(tmp[1], tmp[0]);
+    tmp[0] = zero;
+    SchurSolver(Deofa_L, tmp[1], tmp[0]);
+    Deofa_L.Omega(tmp[0], tmp[1], -1, 1);
+    rw_eofa[hit] = -k*innerProduct(spProj_Phi,tmp[1]).real();
+
+    // RH term
+    for(int s=0; s<Ls; ++s){ axpby_ssp_pplus(spProj_Phi, 0.0, Phi, 1.0, Phi, s, s); }
+    Deofa_R.Omega(spProj_Phi, tmp[0], 1, 0);
+    G5R5(tmp[1], tmp[0]);
+    tmp[0] = zero;
+    SchurSolver(Deofa_R, tmp[1], tmp[0]);
+    Deofa_R.Omega(tmp[0], tmp[1], 1, 1);
+    rw_eofa[hit] += k*innerProduct(spProj_Phi,tmp[1]).real();
+    std::cout << std::endl << "==================================================" << std::endl;
+    std::cout << " --- EOFA: Hit " << hit << ": rw = " << rw_eofa[hit];
+    std::cout << std::endl << "==================================================" << std::endl << std::endl;
+
+  }
+
+  std::vector<RealD> rhmc_result = jack_stats(rw_rhmc);
+  std::vector<RealD> eofa_result = jack_stats(rw_eofa);
+  std::cout << std::endl << "RHMC: rw = " << rhmc_result[0] << " +/- " << rhmc_result[1] << std::endl;
+  std::cout << std::endl << "EOFA: rw = " << eofa_result[0] << " +/- " << eofa_result[1] << std::endl;
+
+  Grid_finalize();
+}

tests/debug/Test_reweight_dwf_eofa_gparity.cc

@@ -0,0 +1,209 @@
+/*************************************************************************************
+
+Grid physics library, www.github.com/paboyle/Grid
+
+Source file: ./tests/debug/Test_reweight_dwf_eofa_gparity.cc
+
+Copyright (C) 2017
+
+Author: Peter Boyle <paboyle@ph.ed.ac.uk>
+Author: paboyle <paboyle@ph.ed.ac.uk>
+Author: David Murphy <dmurphy@phys.columbia.edu>
+
+This program is free software; you can redistribute it and/or modify
+it under the terms of the GNU General Public License as published by
+the Free Software Foundation; either version 2 of the License, or
+(at your option) any later version.
+
+This program is distributed in the hope that it will be useful,
+but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+GNU General Public License for more details.
+
+You should have received a copy of the GNU General Public License along
+with this program; if not, write to the Free Software Foundation, Inc.,
+51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
+
+See the full license in the file "LICENSE" in the top level distribution directory
+*************************************************************************************/
+/*  END LEGAL */
+#include <Grid/Grid.h>
+
+using namespace std;
+using namespace Grid;
+using namespace Grid::QCD;
+
+typedef typename GparityDomainWallFermionR::FermionField FermionField;
+
+// parameters for test
+const std::vector<int> grid_dim = { 8, 8, 8, 8 };
+const int Ls = 8;
+const int Nhits = 10;
+const int max_iter = 5000;
+const RealD mf = 0.1;
+const RealD mb = 0.11;
+const RealD M5 = 1.8;
+const RealD stop_tol = 1.0e-12;
+
+RealD mean(const std::vector<RealD>& data)
+{
+    int N = data.size();
+    RealD mean(0.0);
+    for(int i=0; i<N; ++i){ mean += data[i]; }
+    return mean/RealD(N);
+}
+
+RealD jack_mean(const std::vector<RealD>& data, int sample)
+{
+    int N = data.size();
+    RealD mean(0.0);
+    for(int i=0; i<N; ++i){ if(i != sample){ mean += data[i]; } }
+    return mean/RealD(N-1);
+}
+
+RealD jack_std(const std::vector<RealD>& jacks, RealD mean)
+{
+    int N = jacks.size();
+    RealD std(0.0);
+    for(int i=0; i<N; ++i){ std += std::pow(jacks[i]-mean, 2.0); }
+    return std::sqrt(RealD(N-1)/RealD(N)*std);
+}
+
+std::vector<RealD> jack_stats(const std::vector<RealD>& data)
+{
+    int N = data.size();
+    std::vector<RealD> jack_samples(N);
+    std::vector<RealD> jack_stats(2);
+
+    jack_stats[0] = mean(data);
+    for(int i=0; i<N; i++){ jack_samples[i] = jack_mean(data,i); }
+    jack_stats[1] = jack_std(jack_samples, jack_stats[0]);
+    return jack_stats;
+}
+
+int main(int argc, char **argv)
+{
+  Grid_init(&argc, &argv);
+
+  // Initialize spacetime grid
+  std::cout << GridLogMessage << "Lattice dimensions: "
+    << grid_dim << "   Ls: " << Ls << std::endl;
+  GridCartesian* UGrid = SpaceTimeGrid::makeFourDimGrid(grid_dim,
+      GridDefaultSimd(Nd, vComplex::Nsimd()), GridDefaultMpi());
+  GridRedBlackCartesian* UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
+  GridCartesian* FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls, UGrid);
+  GridRedBlackCartesian* FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls, UGrid);
+
+  // Set up RNGs
+  std::vector<int> seeds4({1, 2, 3, 4});
+  std::vector<int> seeds5({5, 6, 7, 8});
+  GridParallelRNG RNG5(FGrid);
+  RNG5.SeedFixedIntegers(seeds5);
+  GridParallelRNG RNG4(UGrid);
+  RNG4.SeedFixedIntegers(seeds4);
+
+  // Random gauge field
+  LatticeGaugeField Umu(UGrid);
+  SU3::HotConfiguration(RNG4, Umu);
+
+  // Initialize RHMC fermion operators
+  GparityDomainWallFermionR::ImplParams params;
+  GparityDomainWallFermionR Ddwf_f(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mf, M5, params);
+  GparityDomainWallFermionR Ddwf_b(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mb, M5, params);
+  SchurDiagMooeeOperator<GparityDomainWallFermionR, FermionField> MdagM(Ddwf_f);
+  SchurDiagMooeeOperator<GparityDomainWallFermionR, FermionField> VdagV(Ddwf_b);
+
+  // Degree 12 rational approximations to x^(1/4) and x^(-1/4)
+  double     lo = 0.0001;
+  double     hi = 95.0;
+  int precision = 64;
+  int    degree = 12;
+  AlgRemez remez(lo, hi, precision);
+  std::cout << GridLogMessage << "Generating degree " << degree << " for x^(1/4)" << std::endl;
+  remez.generateApprox(degree, 1, 4);
+  MultiShiftFunction PowerQuarter(remez, stop_tol, false);
+  MultiShiftFunction PowerNegQuarter(remez, stop_tol, true);
+
+  // Stochastically estimate reweighting factor via RHMC
+  RealD scale = std::sqrt(0.5);
+  std::vector<RealD> rw_rhmc(Nhits);
+  ConjugateGradientMultiShift<FermionField> msCG_V(max_iter, PowerQuarter);
+  ConjugateGradientMultiShift<FermionField> msCG_M(max_iter, PowerNegQuarter);
+  std::cout.precision(12);
+
+  for(int hit=0; hit<Nhits; hit++){
+
+    // Gaussian source
+    FermionField Phi    (Ddwf_f.FermionGrid());
+    FermionField PhiOdd (Ddwf_f.FermionRedBlackGrid());
+    std::vector<FermionField> tmp(2, Ddwf_f.FermionRedBlackGrid());
+    gaussian(RNG5, Phi);
+    Phi = Phi*scale;
+
+    pickCheckerboard(Odd, PhiOdd, Phi);
+
+    // evaluate -log(rw)
+    msCG_V(VdagV, PhiOdd, tmp[0]);
+    msCG_M(MdagM, tmp[0], tmp[1]);
+    rw_rhmc[hit] = norm2(tmp[1]) - norm2(PhiOdd);
+    std::cout << std::endl << "==================================================" << std::endl;
+    std::cout << " --- RHMC: Hit " << hit << ": rw = " << rw_rhmc[hit];
+    std::cout << std::endl << "==================================================" << std::endl << std::endl;
+
+  }
+
+  // Initialize EOFA fermion operators
+  RealD shift_L = 0.0;
+  RealD shift_R = -1.0;
+  int pm = 1;
+  GparityDomainWallEOFAFermionR Deofa_L(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mf, mf, mb, shift_L, pm, M5, params);
+  GparityDomainWallEOFAFermionR Deofa_R(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mb, mf, mb, shift_R, pm, M5, params);
+  MdagMLinearOperator<GparityDomainWallEOFAFermionR, FermionField> LdagL(Deofa_L);
+  MdagMLinearOperator<GparityDomainWallEOFAFermionR, FermionField> RdagR(Deofa_R);
+
+  // Stochastically estimate reweighting factor via EOFA
+  RealD k = Deofa_L.k;
+  std::vector<RealD> rw_eofa(Nhits);
+  ConjugateGradient<FermionField> CG(stop_tol, max_iter);
+  SchurRedBlackDiagMooeeSolve<FermionField> SchurSolver(CG);
+
+  for(int hit=0; hit<Nhits; hit++){
+
+    // Gaussian source
+    FermionField Phi       (Deofa_L.FermionGrid());
+    FermionField spProj_Phi(Deofa_L.FermionGrid());
+    std::vector<FermionField> tmp(2, Deofa_L.FermionGrid());
+    gaussian(RNG5, Phi);
+    Phi = Phi*scale;
+
+    // evaluate -log(rw)
+    // LH term
+    for(int s=0; s<Ls; ++s){ axpby_ssp_pminus(spProj_Phi, 0.0, Phi, 1.0, Phi, s, s); }
+    Deofa_L.Omega(spProj_Phi, tmp[0], -1, 0);
+    G5R5(tmp[1], tmp[0]);
+    tmp[0] = zero;
+    SchurSolver(Deofa_L, tmp[1], tmp[0]);
+    Deofa_L.Omega(tmp[0], tmp[1], -1, 1);
+    rw_eofa[hit] = -k*innerProduct(spProj_Phi,tmp[1]).real();
+
+    // RH term
+    for(int s=0; s<Ls; ++s){ axpby_ssp_pplus(spProj_Phi, 0.0, Phi, 1.0, Phi, s, s); }
+    Deofa_R.Omega(spProj_Phi, tmp[0], 1, 0);
+    G5R5(tmp[1], tmp[0]);
+    tmp[0] = zero;
+    SchurSolver(Deofa_R, tmp[1], tmp[0]);
+    Deofa_R.Omega(tmp[0], tmp[1], 1, 1);
+    rw_eofa[hit] += k*innerProduct(spProj_Phi,tmp[1]).real();
+    std::cout << std::endl << "==================================================" << std::endl;
+    std::cout << " --- EOFA: Hit " << hit << ": rw = " << rw_eofa[hit];
+    std::cout << std::endl << "==================================================" << std::endl << std::endl;
+
+  }
+
+  std::vector<RealD> rhmc_result = jack_stats(rw_rhmc);
+  std::vector<RealD> eofa_result = jack_stats(rw_eofa);
+  std::cout << std::endl << "RHMC: rw = " << rhmc_result[0] << " +/- " << rhmc_result[1] << std::endl;
+  std::cout << std::endl << "EOFA: rw = " << eofa_result[0] << " +/- " << eofa_result[1] << std::endl;
+
+  Grid_finalize();
+}

tests/debug/Test_reweight_mobius_eofa.cc

@@ -0,0 +1,215 @@
+/*************************************************************************************
+
+Grid physics library, www.github.com/paboyle/Grid
+
+Source file: ./tests/debug/Test_reweight_dwf_eofa.cc
+
+Copyright (C) 2017
+
+Author: Peter Boyle <paboyle@ph.ed.ac.uk>
+Author: paboyle <paboyle@ph.ed.ac.uk>
+Author: David Murphy <dmurphy@phys.columbia.edu>
+
+This program is free software; you can redistribute it and/or modify
+it under the terms of the GNU General Public License as published by
+the Free Software Foundation; either version 2 of the License, or
+(at your option) any later version.
+
+This program is distributed in the hope that it will be useful,
+but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+GNU General Public License for more details.
+
+You should have received a copy of the GNU General Public License along
+with this program; if not, write to the Free Software Foundation, Inc.,
+51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
+
+See the full license in the file "LICENSE" in the top level distribution directory
+*************************************************************************************/
+/*  END LEGAL */
+#include <Grid/Grid.h>
+
+using namespace std;
+using namespace Grid;
+using namespace Grid::QCD;
+
+// parameters for test
+const std::vector<int> grid_dim = { 8, 8, 8, 8 };
+const int Ls = 8;
+const int Nhits = 10;
+const int max_iter = 5000;
+const RealD b  = 2.5;
+const RealD c  = 1.5;
+const RealD mf = 0.1;
+const RealD mb = 0.11;
+const RealD M5 = 1.8;
+const RealD stop_tol = 1.0e-12;
+
+RealD mean(const std::vector<RealD>& data)
+{
+    int N = data.size();
+    RealD mean(0.0);
+    for(int i=0; i<N; ++i){ mean += data[i]; }
+    return mean/RealD(N);
+}
+
+RealD jack_mean(const std::vector<RealD>& data, int sample)
+{
+    int N = data.size();
+    RealD mean(0.0);
+    for(int i=0; i<N; ++i){ if(i != sample){ mean += data[i]; } }
+    return mean/RealD(N-1);
+}
+
+RealD jack_std(const std::vector<RealD>& jacks, RealD mean)
+{
+    int N = jacks.size();
+    RealD std(0.0);
+    for(int i=0; i<N; ++i){ std += std::pow(jacks[i]-mean, 2.0); }
+    return std::sqrt(RealD(N-1)/RealD(N)*std);
+}
+
+std::vector<RealD> jack_stats(const std::vector<RealD>& data)
+{
+    int N = data.size();
+    std::vector<RealD> jack_samples(N);
+    std::vector<RealD> jack_stats(2);
+
+    jack_stats[0] = mean(data);
+    for(int i=0; i<N; i++){ jack_samples[i] = jack_mean(data,i); }
+    jack_stats[1] = jack_std(jack_samples, jack_stats[0]);
+    return jack_stats;
+}
+
+int main(int argc, char **argv)
+{
+  Grid_init(&argc, &argv);
+
+  // Initialize spacetime grid
+  std::cout << GridLogMessage << "Lattice dimensions: "
+    << grid_dim << "   Ls: " << Ls << std::endl;
+  GridCartesian* UGrid = SpaceTimeGrid::makeFourDimGrid(grid_dim,
+      GridDefaultSimd(Nd, vComplex::Nsimd()), GridDefaultMpi());
+  GridRedBlackCartesian* UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
+  GridCartesian* FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls, UGrid);
+  GridRedBlackCartesian* FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls, UGrid);
+
+  // Set up RNGs
+  std::vector<int> seeds4({1, 2, 3, 4});
+  std::vector<int> seeds5({5, 6, 7, 8});
+  GridParallelRNG RNG5(FGrid);
+  RNG5.SeedFixedIntegers(seeds5);
+  GridParallelRNG RNG4(UGrid);
+  RNG4.SeedFixedIntegers(seeds4);
+
+  // Random gauge field
+  LatticeGaugeField Umu(UGrid);
+  SU3::HotConfiguration(RNG4, Umu);
+
+  // Initialize RHMC fermion operators
+  MobiusFermionR Ddwf_f(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mf, M5, b, c);
+  MobiusFermionR Ddwf_b(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mb, M5, b, c);
+  SchurDiagMooeeOperator<MobiusFermionR, LatticeFermion> MdagM(Ddwf_f);
+  SchurDiagMooeeOperator<MobiusFermionR, LatticeFermion> VdagV(Ddwf_b);
+
+  // Degree 12 rational approximations to x^(1/4) and x^(-1/4)
+  double     lo = 0.0001;
+  double     hi = 95.0;
+  int precision = 64;
+  int    degree = 12;
+  AlgRemez remez(lo, hi, precision);
+  std::cout << GridLogMessage << "Generating degree " << degree << " for x^(1/4)" << std::endl;
+  remez.generateApprox(degree, 1, 4);
+  MultiShiftFunction PowerQuarter(remez, stop_tol, false);
+  MultiShiftFunction PowerNegQuarter(remez, stop_tol, true);
+
+  // Stochastically estimate reweighting factor via RHMC
+  RealD scale = std::sqrt(0.5);
+  std::vector<RealD> rw_rhmc(Nhits);
+  ConjugateGradientMultiShift<LatticeFermion> msCG_V(max_iter, PowerQuarter);
+  ConjugateGradientMultiShift<LatticeFermion> msCG_M(max_iter, PowerNegQuarter);
+  std::cout.precision(12);
+
+  for(int hit=0; hit<Nhits; hit++){
+
+    // Gaussian source
+    LatticeFermion Phi    (Ddwf_f.FermionGrid());
+    LatticeFermion PhiOdd (Ddwf_f.FermionRedBlackGrid());
+    std::vector<LatticeFermion> tmp(2, Ddwf_f.FermionRedBlackGrid());
+    gaussian(RNG5, Phi);
+    Phi = Phi*scale;
+
+    pickCheckerboard(Odd, PhiOdd, Phi);
+
+    // evaluate -log(rw)
+    msCG_V(VdagV, PhiOdd, tmp[0]);
+    msCG_M(MdagM, tmp[0], tmp[1]);
+    rw_rhmc[hit] = norm2(tmp[1]) - norm2(PhiOdd);
+    std::cout << std::endl << "==================================================" << std::endl;
+    std::cout << " --- RHMC: Hit " << hit << ": rw = " << rw_rhmc[hit];
+    std::cout << std::endl << "==================================================" << std::endl << std::endl;
+
+  }
+
+  // Initialize EOFA fermion operators
+  RealD shift_L = 0.0;
+  RealD shift_R = -1.0;
+  int pm = 1;
+  MobiusEOFAFermionR Deofa_L(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mf, mf, mb, shift_L, pm, M5, b, c);
+  MobiusEOFAFermionR Deofa_R(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mb, mf, mb, shift_R, pm, M5, b, c);
+  MdagMLinearOperator<MobiusEOFAFermionR, LatticeFermion> LdagL(Deofa_L);
+  MdagMLinearOperator<MobiusEOFAFermionR, LatticeFermion> RdagR(Deofa_R);
+
+  // Stochastically estimate reweighting factor via EOFA
+  RealD k = Deofa_L.k;
+  std::vector<RealD> rw_eofa(Nhits);
+  ConjugateGradient<LatticeFermion> CG(stop_tol, max_iter);
+  SchurRedBlackDiagMooeeSolve<LatticeFermion> SchurSolver(CG);
+
+  // Compute -log(Z), where: ( RHMC det ratio ) = Z * ( EOFA det ratio )
+  RealD Z = std::pow(b+c+1.0,Ls) + mf*std::pow(b+c-1.0,Ls);
+  Z /= std::pow(b+c+1.0,Ls) + mb*std::pow(b+c-1.0,Ls);
+  Z = -12.0*grid_dim[0]*grid_dim[1]*grid_dim[2]*grid_dim[3]*std::log(Z);
+
+  for(int hit=0; hit<Nhits; hit++){
+
+    // Gaussian source
+    LatticeFermion Phi       (Deofa_L.FermionGrid());
+    LatticeFermion spProj_Phi(Deofa_L.FermionGrid());
+    std::vector<LatticeFermion> tmp(2, Deofa_L.FermionGrid());
+    gaussian(RNG5, Phi);
+    Phi = Phi*scale;
+
+    // evaluate -log(rw)
+    // LH term
+    for(int s=0; s<Ls; ++s){ axpby_ssp_pminus(spProj_Phi, 0.0, Phi, 1.0, Phi, s, s); }
+    Deofa_L.Omega(spProj_Phi, tmp[0], -1, 0);
+    G5R5(tmp[1], tmp[0]);
+    tmp[0] = zero;
+    SchurSolver(Deofa_L, tmp[1], tmp[0]);
+    Deofa_L.Dtilde(tmp[0], tmp[1]);
+    Deofa_L.Omega(tmp[1], tmp[0], -1, 1);
+    rw_eofa[hit] = Z - k*innerProduct(spProj_Phi,tmp[0]).real();
+
+    // RH term
+    for(int s=0; s<Ls; ++s){ axpby_ssp_pplus(spProj_Phi, 0.0, Phi, 1.0, Phi, s, s); }
+    Deofa_R.Omega(spProj_Phi, tmp[0], 1, 0);
+    G5R5(tmp[1], tmp[0]);
+    tmp[0] = zero;
+    SchurSolver(Deofa_R, tmp[1], tmp[0]);
+    Deofa_R.Dtilde(tmp[0], tmp[1]);
+    Deofa_R.Omega(tmp[1], tmp[0], 1, 1);
+    rw_eofa[hit] += k*innerProduct(spProj_Phi,tmp[0]).real();
+    std::cout << std::endl << "==================================================" << std::endl;
+    std::cout << " --- EOFA: Hit " << hit << ": rw = " << rw_eofa[hit];
+    std::cout << std::endl << "==================================================" << std::endl << std::endl;
+
+  }
+
+  std::vector<RealD> rhmc_result = jack_stats(rw_rhmc);
+  std::vector<RealD> eofa_result = jack_stats(rw_eofa);
+  std::cout << std::endl << "RHMC: rw = " << rhmc_result[0] << " +/- " << rhmc_result[1] << std::endl;
+  std::cout << std::endl << "EOFA: rw = " << eofa_result[0] << " +/- " << eofa_result[1] << std::endl;
+
+  Grid_finalize();
+}

tests/debug/Test_reweight_mobius_eofa_gparity.cc

@@ -0,0 +1,218 @@
+/*************************************************************************************
+
+Grid physics library, www.github.com/paboyle/Grid
+
+Source file: ./tests/debug/Test_reweight_dwf_eofa.cc
+
+Copyright (C) 2017
+
+Author: Peter Boyle <paboyle@ph.ed.ac.uk>
+Author: paboyle <paboyle@ph.ed.ac.uk>
+Author: David Murphy <dmurphy@phys.columbia.edu>
+
+This program is free software; you can redistribute it and/or modify
+it under the terms of the GNU General Public License as published by
+the Free Software Foundation; either version 2 of the License, or
+(at your option) any later version.
+
+This program is distributed in the hope that it will be useful,
+but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+GNU General Public License for more details.
+
+You should have received a copy of the GNU General Public License along
+with this program; if not, write to the Free Software Foundation, Inc.,
+51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
+
+See the full license in the file "LICENSE" in the top level distribution directory
+*************************************************************************************/
+/*  END LEGAL */
+#include <Grid/Grid.h>
+
+using namespace std;
+using namespace Grid;
+using namespace Grid::QCD;
+
+typedef typename GparityDomainWallFermionR::FermionField FermionField;
+
+// parameters for test
+const std::vector<int> grid_dim = { 8, 8, 8, 8 };
+const int Ls = 8;
+const int Nhits = 10;
+const int max_iter = 5000;
+const RealD b  = 2.5;
+const RealD c  = 1.5;
+const RealD mf = 0.1;
+const RealD mb = 0.11;
+const RealD M5 = 1.8;
+const RealD stop_tol = 1.0e-12;
+
+RealD mean(const std::vector<RealD>& data)
+{
+    int N = data.size();
+    RealD mean(0.0);
+    for(int i=0; i<N; ++i){ mean += data[i]; }
+    return mean/RealD(N);
+}
+
+RealD jack_mean(const std::vector<RealD>& data, int sample)
+{
+    int N = data.size();
+    RealD mean(0.0);
+    for(int i=0; i<N; ++i){ if(i != sample){ mean += data[i]; } }
+    return mean/RealD(N-1);
+}
+
+RealD jack_std(const std::vector<RealD>& jacks, RealD mean)
+{
+    int N = jacks.size();
+    RealD std(0.0);
+    for(int i=0; i<N; ++i){ std += std::pow(jacks[i]-mean, 2.0); }
+    return std::sqrt(RealD(N-1)/RealD(N)*std);
+}
+
+std::vector<RealD> jack_stats(const std::vector<RealD>& data)
+{
+    int N = data.size();
+    std::vector<RealD> jack_samples(N);
+    std::vector<RealD> jack_stats(2);
+
+    jack_stats[0] = mean(data);
+    for(int i=0; i<N; i++){ jack_samples[i] = jack_mean(data,i); }
+    jack_stats[1] = jack_std(jack_samples, jack_stats[0]);
+    return jack_stats;
+}
+
+int main(int argc, char **argv)
+{
+  Grid_init(&argc, &argv);
+
+  // Initialize spacetime grid
+  std::cout << GridLogMessage << "Lattice dimensions: "
+    << grid_dim << "   Ls: " << Ls << std::endl;
+  GridCartesian* UGrid = SpaceTimeGrid::makeFourDimGrid(grid_dim,
+      GridDefaultSimd(Nd, vComplex::Nsimd()), GridDefaultMpi());
+  GridRedBlackCartesian* UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
+  GridCartesian* FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls, UGrid);
+  GridRedBlackCartesian* FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls, UGrid);
+
+  // Set up RNGs
+  std::vector<int> seeds4({1, 2, 3, 4});
+  std::vector<int> seeds5({5, 6, 7, 8});
+  GridParallelRNG RNG5(FGrid);
+  RNG5.SeedFixedIntegers(seeds5);
+  GridParallelRNG RNG4(UGrid);
+  RNG4.SeedFixedIntegers(seeds4);
+
+  // Random gauge field
+  LatticeGaugeField Umu(UGrid);
+  SU3::HotConfiguration(RNG4, Umu);
+
+  // Initialize RHMC fermion operators
+  GparityDomainWallFermionR::ImplParams params;
+  GparityMobiusFermionR Ddwf_f(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mf, M5, b, c, params);
+  GparityMobiusFermionR Ddwf_b(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mb, M5, b, c, params);
+  SchurDiagMooeeOperator<GparityMobiusFermionR, FermionField> MdagM(Ddwf_f);
+  SchurDiagMooeeOperator<GparityMobiusFermionR, FermionField> VdagV(Ddwf_b);
+
+  // Degree 12 rational approximations to x^(1/4) and x^(-1/4)
+  double     lo = 0.0001;
+  double     hi = 95.0;
+  int precision = 64;
+  int    degree = 12;
+  AlgRemez remez(lo, hi, precision);
+  std::cout << GridLogMessage << "Generating degree " << degree << " for x^(1/4)" << std::endl;
+  remez.generateApprox(degree, 1, 4);
+  MultiShiftFunction PowerQuarter(remez, stop_tol, false);
+  MultiShiftFunction PowerNegQuarter(remez, stop_tol, true);
+
+  // Stochastically estimate reweighting factor via RHMC
+  RealD scale = std::sqrt(0.5);
+  std::vector<RealD> rw_rhmc(Nhits);
+  ConjugateGradientMultiShift<FermionField> msCG_V(max_iter, PowerQuarter);
+  ConjugateGradientMultiShift<FermionField> msCG_M(max_iter, PowerNegQuarter);
+  std::cout.precision(12);
+
+  for(int hit=0; hit<Nhits; hit++){
+
+    // Gaussian source
+    FermionField Phi    (Ddwf_f.FermionGrid());
+    FermionField PhiOdd (Ddwf_f.FermionRedBlackGrid());
+    std::vector<FermionField> tmp(2, Ddwf_f.FermionRedBlackGrid());
+    gaussian(RNG5, Phi);
+    Phi = Phi*scale;
+
+    pickCheckerboard(Odd, PhiOdd, Phi);
+
+    // evaluate -log(rw)
+    msCG_V(VdagV, PhiOdd, tmp[0]);
+    msCG_M(MdagM, tmp[0], tmp[1]);
+    rw_rhmc[hit] = norm2(tmp[1]) - norm2(PhiOdd);
+    std::cout << std::endl << "==================================================" << std::endl;
+    std::cout << " --- RHMC: Hit " << hit << ": rw = " << rw_rhmc[hit];
+    std::cout << std::endl << "==================================================" << std::endl << std::endl;
+
+  }
+
+  // Initialize EOFA fermion operators
+  RealD shift_L = 0.0;
+  RealD shift_R = -1.0;
+  int pm = 1;
+  GparityMobiusEOFAFermionR Deofa_L(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mf, mf, mb, shift_L, pm, M5, b, c, params);
+  GparityMobiusEOFAFermionR Deofa_R(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mb, mf, mb, shift_R, pm, M5, b, c, params);
+  MdagMLinearOperator<GparityMobiusEOFAFermionR, FermionField> LdagL(Deofa_L);
+  MdagMLinearOperator<GparityMobiusEOFAFermionR, FermionField> RdagR(Deofa_R);
+
+  // Stochastically estimate reweighting factor via EOFA
+  RealD k = Deofa_L.k;
+  std::vector<RealD> rw_eofa(Nhits);
+  ConjugateGradient<FermionField> CG(stop_tol, max_iter);
+  SchurRedBlackDiagMooeeSolve<FermionField> SchurSolver(CG);
+
+  // Compute -log(Z), where: ( RHMC det ratio ) = Z * ( EOFA det ratio )
+  RealD Z = std::pow(b+c+1.0,Ls) + mf*std::pow(b+c-1.0,Ls);
+  Z /= std::pow(b+c+1.0,Ls) + mb*std::pow(b+c-1.0,Ls);
+  Z = -12.0*grid_dim[0]*grid_dim[1]*grid_dim[2]*grid_dim[3]*std::log(Z);
+
+  for(int hit=0; hit<Nhits; hit++){
+
+    // Gaussian source
+    FermionField Phi       (Deofa_L.FermionGrid());
+    FermionField spProj_Phi(Deofa_L.FermionGrid());
+    std::vector<FermionField> tmp(2, Deofa_L.FermionGrid());
+    gaussian(RNG5, Phi);
+    Phi = Phi*scale;
+
+    // evaluate -log(rw)
+    // LH term
+    for(int s=0; s<Ls; ++s){ axpby_ssp_pminus(spProj_Phi, 0.0, Phi, 1.0, Phi, s, s); }
+    Deofa_L.Omega(spProj_Phi, tmp[0], -1, 0);
+    G5R5(tmp[1], tmp[0]);
+    tmp[0] = zero;
+    SchurSolver(Deofa_L, tmp[1], tmp[0]);
+    Deofa_L.Dtilde(tmp[0], tmp[1]);
+    Deofa_L.Omega(tmp[1], tmp[0], -1, 1);
+    rw_eofa[hit] = 2.0*Z - k*innerProduct(spProj_Phi,tmp[0]).real();
+
+    // RH term
+    for(int s=0; s<Ls; ++s){ axpby_ssp_pplus(spProj_Phi, 0.0, Phi, 1.0, Phi, s, s); }
+    Deofa_R.Omega(spProj_Phi, tmp[0], 1, 0);
+    G5R5(tmp[1], tmp[0]);
+    tmp[0] = zero;
+    SchurSolver(Deofa_R, tmp[1], tmp[0]);
+    Deofa_R.Dtilde(tmp[0], tmp[1]);
+    Deofa_R.Omega(tmp[1], tmp[0], 1, 1);
+    rw_eofa[hit] += k*innerProduct(spProj_Phi,tmp[0]).real();
+    std::cout << std::endl << "==================================================" << std::endl;
+    std::cout << " --- EOFA: Hit " << hit << ": rw = " << rw_eofa[hit];
+    std::cout << std::endl << "==================================================" << std::endl << std::endl;
+
+  }
+
+  std::vector<RealD> rhmc_result = jack_stats(rw_rhmc);
+  std::vector<RealD> eofa_result = jack_stats(rw_eofa);
+  std::cout << std::endl << "RHMC: rw = " << rhmc_result[0] << " +/- " << rhmc_result[1] << std::endl;
+  std::cout << std::endl << "EOFA: rw = " << eofa_result[0] << " +/- " << eofa_result[1] << std::endl;
+
+  Grid_finalize();
+}

tests/forces/Test_dwf_force_eofa.cc

@@ -0,0 +1,164 @@
+/*************************************************************************************
+
+Grid physics library, www.github.com/paboyle/Grid
+
+Source file: ./tests/forces/Test_dwf_force_eofa.cc
+
+Copyright (C) 2017
+
+Author: Peter Boyle <paboyle@ph.ed.ac.uk>
+Author: David Murphy <dmurphy@phys.columbia.edu>
+
+This program is free software; you can redistribute it and/or modify
+it under the terms of the GNU General Public License as published by
+the Free Software Foundation; either version 2 of the License, or
+(at your option) any later version.
+
+This program is distributed in the hope that it will be useful,
+but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+GNU General Public License for more details.
+
+You should have received a copy of the GNU General Public License along
+with this program; if not, write to the Free Software Foundation, Inc.,
+51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
+
+See the full license in the file "LICENSE" in the top level distribution directory
+*************************************************************************************/
+/*  END LEGAL */
+
+#include <Grid/Grid.h>
+
+using namespace std;
+using namespace Grid;
+using namespace Grid::QCD;
+
+int main (int argc, char** argv)
+{
+  Grid_init(&argc, &argv);
+
+  std::vector<int> latt_size   = GridDefaultLatt();
+  std::vector<int> simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
+  std::vector<int> mpi_layout  = GridDefaultMpi();
+
+  const int Ls = 8;
+
+  GridCartesian         *UGrid   = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplex::Nsimd()), GridDefaultMpi());
+  GridRedBlackCartesian *UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
+  GridCartesian         *FGrid   = SpaceTimeGrid::makeFiveDimGrid(Ls, UGrid);
+  GridRedBlackCartesian *FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls, UGrid);
+
+  // Want a different conf at every run
+  // First create an instance of an engine.
+  std::random_device rnd_device;
+  // Specify the engine and distribution.
+  std::mt19937 mersenne_engine(rnd_device());
+  std::uniform_int_distribution<int> dist(1, 100);
+
+  auto gen = std::bind(dist, mersenne_engine);
+  std::vector<int> seeds4(4);
+  generate(begin(seeds4), end(seeds4), gen);
+
+  //std::vector<int> seeds4({1,2,3,5});
+  std::vector<int> seeds5({5,6,7,8});
+  GridParallelRNG RNG5(FGrid);  RNG5.SeedFixedIntegers(seeds5);
+  GridParallelRNG RNG4(UGrid);  RNG4.SeedFixedIntegers(seeds4);
+
+  int threads = GridThread::GetThreads();
+  std::cout << GridLogMessage << "Grid is setup to use " << threads << " threads" << std::endl;
+
+  LatticeFermion phi        (FGrid);  gaussian(RNG5, phi);
+  LatticeFermion Mphi       (FGrid);
+  LatticeFermion MphiPrime  (FGrid);
+
+  LatticeGaugeField U(UGrid);
+  SU3::HotConfiguration(RNG4,U);
+
+  ////////////////////////////////////
+  // Unmodified matrix element
+  ////////////////////////////////////
+  RealD mf = 0.01;
+  RealD mb = 1.0;
+  RealD M5 = 1.8;
+  DomainWallEOFAFermionR Lop(U, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mf, mf, mb, 0.0, -1, M5);
+  DomainWallEOFAFermionR Rop(U, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mb, mf, mb, -1.0, 1, M5);
+  OneFlavourRationalParams Params(0.95, 100.0, 5000, 1.0e-12, 12);
+  ConjugateGradient<LatticeFermion> CG(1.0e-12, 5000);
+  ExactOneFlavourRatioPseudoFermionAction<WilsonImplR> Meofa(Lop, Rop, CG, Params, true);
+
+  Meofa.refresh(U, RNG5);
+  RealD S = Meofa.S(U); // pdag M p
+
+  // get the deriv of phidag M phi with respect to "U"
+  LatticeGaugeField UdSdU(UGrid);
+  Meofa.deriv(U, UdSdU);
+
+  ////////////////////////////////////
+  // Modify the gauge field a little
+  ////////////////////////////////////
+  RealD dt = 0.0001;
+
+  LatticeColourMatrix mommu(UGrid);
+  LatticeColourMatrix forcemu(UGrid);
+  LatticeGaugeField mom(UGrid);
+  LatticeGaugeField Uprime(UGrid);
+
+  for(int mu=0; mu<Nd; mu++){
+
+    SU3::GaussianFundamentalLieAlgebraMatrix(RNG4, mommu); // Traceless antihermitian momentum; gaussian in lie alg
+
+    PokeIndex<LorentzIndex>(mom, mommu, mu);
+
+    // fourth order exponential approx
+    parallel_for(auto i=mom.begin(); i<mom.end(); i++){
+      Uprime[i](mu) = U[i](mu) + mom[i](mu)*U[i](mu)*dt + mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt/2.0)
+                        + mom[i](mu) *mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt*dt/6.0)
+                        + mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt*dt*dt/24.0)
+                        + mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt*dt*dt*dt/120.0)
+                        + mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt*dt*dt*dt*dt/720.0);
+    }
+  }
+
+  /*Ddwf.ImportGauge(Uprime);
+  Ddwf.M          (phi,MphiPrime);
+
+  ComplexD Sprime    = innerProduct(MphiPrime   ,MphiPrime);*/
+  RealD Sprime = Meofa.S(Uprime);
+
+  //////////////////////////////////////////////
+  // Use derivative to estimate dS
+  //////////////////////////////////////////////
+
+  LatticeComplex dS(UGrid);
+  dS = zero;
+  for(int mu=0; mu<Nd; mu++){
+    mommu = PeekIndex<LorentzIndex>(UdSdU, mu);
+    mommu = Ta(mommu)*2.0;
+    PokeIndex<LorentzIndex>(UdSdU, mommu, mu);
+  }
+
+  for(int mu=0; mu<Nd; mu++){
+    forcemu = PeekIndex<LorentzIndex>(UdSdU, mu);
+    mommu   = PeekIndex<LorentzIndex>(mom, mu);
+
+    // Update PF action density
+    dS = dS + trace(mommu*forcemu)*dt;
+  }
+
+  ComplexD dSpred = sum(dS);
+
+  /*std::cout << GridLogMessage << " S      " << S << std::endl;
+  std::cout << GridLogMessage << " Sprime " << Sprime << std::endl;
+  std::cout << GridLogMessage << "dS      " << Sprime-S << std::endl;
+  std::cout << GridLogMessage << "predict dS    " << dSpred << std::endl;*/
+  printf("\nS = %1.15e\n", S);
+  printf("Sprime = %1.15e\n", Sprime);
+  printf("dS = %1.15e\n", Sprime - S);
+  printf("real(dS_predict) = %1.15e\n", dSpred.real());
+  printf("imag(dS_predict) = %1.15e\n\n", dSpred.imag());
+
+  assert( fabs(real(Sprime-S-dSpred)) < 1.0 ) ;
+
+  std::cout << GridLogMessage << "Done" << std::endl;
+  Grid_finalize();
+}

tests/forces/Test_dwf_gpforce_eofa.cc

@@ -0,0 +1,169 @@
+/*************************************************************************************
+
+Grid physics library, www.github.com/paboyle/Grid
+
+Source file: ./tests/forces/Test_dwf_force_eofa.cc
+
+Copyright (C) 2017
+
+Author: Peter Boyle <paboyle@ph.ed.ac.uk>
+Author: David Murphy <dmurphy@phys.columbia.edu>
+
+This program is free software; you can redistribute it and/or modify
+it under the terms of the GNU General Public License as published by
+the Free Software Foundation; either version 2 of the License, or
+(at your option) any later version.
+
+This program is distributed in the hope that it will be useful,
+but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+GNU General Public License for more details.
+
+You should have received a copy of the GNU General Public License along
+with this program; if not, write to the Free Software Foundation, Inc.,
+51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
+
+See the full license in the file "LICENSE" in the top level distribution directory
+*************************************************************************************/
+/*  END LEGAL */
+
+#include <Grid/Grid.h>
+
+using namespace std;
+using namespace Grid;
+using namespace Grid::QCD;
+
+typedef GparityWilsonImplR FermionImplPolicy;
+typedef GparityDomainWallEOFAFermionR FermionAction;
+typedef typename FermionAction::FermionField FermionField;
+
+int main (int argc, char** argv)
+{
+  Grid_init(&argc, &argv);
+
+  std::vector<int> latt_size   = GridDefaultLatt();
+  std::vector<int> simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
+  std::vector<int> mpi_layout  = GridDefaultMpi();
+
+  const int Ls = 8;
+
+  GridCartesian         *UGrid   = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplex::Nsimd()), GridDefaultMpi());
+  GridRedBlackCartesian *UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
+  GridCartesian         *FGrid   = SpaceTimeGrid::makeFiveDimGrid(Ls, UGrid);
+  GridRedBlackCartesian *FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls, UGrid);
+
+  // Want a different conf at every run
+  // First create an instance of an engine.
+  std::random_device rnd_device;
+  // Specify the engine and distribution.
+  std::mt19937 mersenne_engine(rnd_device());
+  std::uniform_int_distribution<int> dist(1, 100);
+
+  auto gen = std::bind(dist, mersenne_engine);
+  std::vector<int> seeds4(4);
+  generate(begin(seeds4), end(seeds4), gen);
+
+  //std::vector<int> seeds4({1,2,3,5});
+  std::vector<int> seeds5({5,6,7,8});
+  GridParallelRNG RNG5(FGrid);  RNG5.SeedFixedIntegers(seeds5);
+  GridParallelRNG RNG4(UGrid);  RNG4.SeedFixedIntegers(seeds4);
+
+  int threads = GridThread::GetThreads();
+  std::cout << GridLogMessage << "Grid is setup to use " << threads << " threads" << std::endl;
+
+  FermionField phi        (FGrid);  gaussian(RNG5, phi);
+  FermionField Mphi       (FGrid);
+  FermionField MphiPrime  (FGrid);
+
+  LatticeGaugeField U(UGrid);
+  SU3::HotConfiguration(RNG4,U);
+
+  ////////////////////////////////////
+  // Unmodified matrix element
+  ////////////////////////////////////
+  RealD mf = 0.01;
+  RealD mb = 1.0;
+  RealD M5 = 1.8;
+  FermionAction::ImplParams params;
+  FermionAction Lop(U, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mf, mf, mb, 0.0, -1, M5, params);
+  FermionAction Rop(U, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mb, mf, mb, -1.0, 1, M5, params);
+  OneFlavourRationalParams Params(0.95, 100.0, 5000, 1.0e-12, 12);
+  ConjugateGradient<FermionField> CG(1.0e-12, 5000);
+  ExactOneFlavourRatioPseudoFermionAction<FermionImplPolicy> Meofa(Lop, Rop, CG, Params, true);
+
+  Meofa.refresh(U, RNG5);
+  RealD S = Meofa.S(U); // pdag M p
+
+  // get the deriv of phidag M phi with respect to "U"
+  LatticeGaugeField UdSdU(UGrid);
+  Meofa.deriv(U, UdSdU);
+
+  ////////////////////////////////////
+  // Modify the gauge field a little
+  ////////////////////////////////////
+  RealD dt = 0.0001;
+
+  LatticeColourMatrix mommu(UGrid);
+  LatticeColourMatrix forcemu(UGrid);
+  LatticeGaugeField mom(UGrid);
+  LatticeGaugeField Uprime(UGrid);
+
+  for(int mu=0; mu<Nd; mu++){
+
+    SU3::GaussianFundamentalLieAlgebraMatrix(RNG4, mommu); // Traceless antihermitian momentum; gaussian in lie alg
+
+    PokeIndex<LorentzIndex>(mom, mommu, mu);
+
+    // fourth order exponential approx
+    parallel_for(auto i=mom.begin(); i<mom.end(); i++){
+      Uprime[i](mu) = U[i](mu) + mom[i](mu)*U[i](mu)*dt + mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt/2.0)
+                        + mom[i](mu) *mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt*dt/6.0)
+                        + mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt*dt*dt/24.0)
+                        + mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt*dt*dt*dt/120.0)
+                        + mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt*dt*dt*dt*dt/720.0);
+    }
+  }
+
+  /*Ddwf.ImportGauge(Uprime);
+  Ddwf.M          (phi,MphiPrime);
+
+  ComplexD Sprime    = innerProduct(MphiPrime   ,MphiPrime);*/
+  RealD Sprime = Meofa.S(Uprime);
+
+  //////////////////////////////////////////////
+  // Use derivative to estimate dS
+  //////////////////////////////////////////////
+
+  LatticeComplex dS(UGrid);
+  dS = zero;
+  for(int mu=0; mu<Nd; mu++){
+    mommu = PeekIndex<LorentzIndex>(UdSdU, mu);
+    mommu = Ta(mommu)*2.0;
+    PokeIndex<LorentzIndex>(UdSdU, mommu, mu);
+  }
+
+  for(int mu=0; mu<Nd; mu++){
+    forcemu = PeekIndex<LorentzIndex>(UdSdU, mu);
+    mommu   = PeekIndex<LorentzIndex>(mom, mu);
+
+    // Update PF action density
+    dS = dS + trace(mommu*forcemu)*dt;
+  }
+
+  ComplexD dSpred = sum(dS);
+
+  /*std::cout << GridLogMessage << " S      " << S << std::endl;
+  std::cout << GridLogMessage << " Sprime " << Sprime << std::endl;
+  std::cout << GridLogMessage << "dS      " << Sprime-S << std::endl;
+  std::cout << GridLogMessage << "predict dS    " << dSpred << std::endl;*/
+  printf("\nS = %1.15e\n", S);
+  printf("Sprime = %1.15e\n", Sprime);
+  printf("dS = %1.15e\n", Sprime - S);
+  printf("real(dS_predict) = %1.15e\n", dSpred.real());
+  printf("imag(dS_predict) = %1.15e\n\n", dSpred.imag());
+
+  assert( fabs(real(Sprime-S-dSpred)) < 1.0 ) ;
+
+  std::cout << GridLogMessage << "Done" << std::endl;
+  Grid_finalize();
+}

tests/forces/Test_gp_rect_force.cc

@@ -42,7 +42,7 @@ int main (int argc, char ** argv)
   std::vector<int> mpi_layout  = GridDefaultMpi();
 
   GridCartesian               Grid(latt_size,simd_layout,mpi_layout);
-  GridRedBlackCartesian     RBGrid(latt_size,simd_layout,mpi_layout);
+  GridRedBlackCartesian     RBGrid(&Grid);
 
   int threads = GridThread::GetThreads();
   std::cout<<GridLogMessage << "Grid is setup to use "<<threads<<" threads"<<std::endl;

tests/forces/Test_laplacian_force.cc

@@ -42,7 +42,7 @@ int main (int argc, char ** argv)
   std::vector<int> mpi_layout  = GridDefaultMpi();
 
   GridCartesian               Grid(latt_size,simd_layout,mpi_layout);
-  GridRedBlackCartesian     RBGrid(latt_size,simd_layout,mpi_layout);
+  GridRedBlackCartesian     RBGrid(&Grid);
 
   int threads = GridThread::GetThreads();
   std::cout<<GridLogMessage << "Grid is setup to use "<<threads<<" threads"<<std::endl;

tests/forces/Test_mobius_force_eofa.cc

@@ -0,0 +1,166 @@
+/*************************************************************************************
+
+Grid physics library, www.github.com/paboyle/Grid
+
+Source file: ./tests/forces/Test_dwf_force_eofa.cc
+
+Copyright (C) 2017
+
+Author: Peter Boyle <paboyle@ph.ed.ac.uk>
+Author: David Murphy <dmurphy@phys.columbia.edu>
+
+This program is free software; you can redistribute it and/or modify
+it under the terms of the GNU General Public License as published by
+the Free Software Foundation; either version 2 of the License, or
+(at your option) any later version.
+
+This program is distributed in the hope that it will be useful,
+but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+GNU General Public License for more details.
+
+You should have received a copy of the GNU General Public License along
+with this program; if not, write to the Free Software Foundation, Inc.,
+51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
+
+See the full license in the file "LICENSE" in the top level distribution directory
+*************************************************************************************/
+/*  END LEGAL */
+
+#include <Grid/Grid.h>
+
+using namespace std;
+using namespace Grid;
+using namespace Grid::QCD;
+
+int main (int argc, char** argv)
+{
+  Grid_init(&argc, &argv);
+
+  std::vector<int> latt_size   = GridDefaultLatt();
+  std::vector<int> simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
+  std::vector<int> mpi_layout  = GridDefaultMpi();
+
+  const int Ls = 8;
+
+  GridCartesian         *UGrid   = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplex::Nsimd()), GridDefaultMpi());
+  GridRedBlackCartesian *UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
+  GridCartesian         *FGrid   = SpaceTimeGrid::makeFiveDimGrid(Ls, UGrid);
+  GridRedBlackCartesian *FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls, UGrid);
+
+  // Want a different conf at every run
+  // First create an instance of an engine.
+  std::random_device rnd_device;
+  // Specify the engine and distribution.
+  std::mt19937 mersenne_engine(rnd_device());
+  std::uniform_int_distribution<int> dist(1, 100);
+
+  auto gen = std::bind(dist, mersenne_engine);
+  std::vector<int> seeds4(4);
+  generate(begin(seeds4), end(seeds4), gen);
+
+  //std::vector<int> seeds4({1,2,3,5});
+  std::vector<int> seeds5({5,6,7,8});
+  GridParallelRNG RNG5(FGrid);  RNG5.SeedFixedIntegers(seeds5);
+  GridParallelRNG RNG4(UGrid);  RNG4.SeedFixedIntegers(seeds4);
+
+  int threads = GridThread::GetThreads();
+  std::cout << GridLogMessage << "Grid is setup to use " << threads << " threads" << std::endl;
+
+  LatticeFermion phi        (FGrid);  gaussian(RNG5, phi);
+  LatticeFermion Mphi       (FGrid);
+  LatticeFermion MphiPrime  (FGrid);
+
+  LatticeGaugeField U(UGrid);
+  SU3::HotConfiguration(RNG4,U);
+
+  ////////////////////////////////////
+  // Unmodified matrix element
+  ////////////////////////////////////
+  RealD b  = 2.5;
+  RealD c  = 1.5;
+  RealD mf = 0.01;
+  RealD mb = 1.0;
+  RealD M5 = 1.8;
+  MobiusEOFAFermionR Lop(U, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mf, mf, mb, 0.0, -1, M5, b, c);
+  MobiusEOFAFermionR Rop(U, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mb, mf, mb, -1.0, 1, M5, b, c);
+  OneFlavourRationalParams Params(0.95, 100.0, 5000, 1.0e-12, 12);
+  ConjugateGradient<LatticeFermion> CG(1.0e-12, 5000);
+  ExactOneFlavourRatioPseudoFermionAction<WilsonImplR> Meofa(Lop, Rop, CG, Params, false);
+
+  Meofa.refresh(U, RNG5);
+  RealD S = Meofa.S(U); // pdag M p
+
+  // get the deriv of phidag M phi with respect to "U"
+  LatticeGaugeField UdSdU(UGrid);
+  Meofa.deriv(U, UdSdU);
+
+  ////////////////////////////////////
+  // Modify the gauge field a little
+  ////////////////////////////////////
+  RealD dt = 0.0001;
+
+  LatticeColourMatrix mommu(UGrid);
+  LatticeColourMatrix forcemu(UGrid);
+  LatticeGaugeField mom(UGrid);
+  LatticeGaugeField Uprime(UGrid);
+
+  for(int mu=0; mu<Nd; mu++){
+
+    SU3::GaussianFundamentalLieAlgebraMatrix(RNG4, mommu); // Traceless antihermitian momentum; gaussian in lie alg
+
+    PokeIndex<LorentzIndex>(mom, mommu, mu);
+
+    // fourth order exponential approx
+    parallel_for(auto i=mom.begin(); i<mom.end(); i++){
+      Uprime[i](mu) = U[i](mu) + mom[i](mu)*U[i](mu)*dt + mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt/2.0)
+                        + mom[i](mu) *mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt*dt/6.0)
+                        + mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt*dt*dt/24.0)
+                        + mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt*dt*dt*dt/120.0)
+                        + mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt*dt*dt*dt*dt/720.0);
+    }
+  }
+
+  /*Ddwf.ImportGauge(Uprime);
+  Ddwf.M          (phi,MphiPrime);
+
+  ComplexD Sprime    = innerProduct(MphiPrime   ,MphiPrime);*/
+  RealD Sprime = Meofa.S(Uprime);
+
+  //////////////////////////////////////////////
+  // Use derivative to estimate dS
+  //////////////////////////////////////////////
+
+  LatticeComplex dS(UGrid);
+  dS = zero;
+  for(int mu=0; mu<Nd; mu++){
+    mommu = PeekIndex<LorentzIndex>(UdSdU, mu);
+    mommu = Ta(mommu)*2.0;
+    PokeIndex<LorentzIndex>(UdSdU, mommu, mu);
+  }
+
+  for(int mu=0; mu<Nd; mu++){
+    forcemu = PeekIndex<LorentzIndex>(UdSdU, mu);
+    mommu   = PeekIndex<LorentzIndex>(mom, mu);
+
+    // Update PF action density
+    dS = dS + trace(mommu*forcemu)*dt;
+  }
+
+  ComplexD dSpred = sum(dS);
+
+  /*std::cout << GridLogMessage << " S      " << S << std::endl;
+  std::cout << GridLogMessage << " Sprime " << Sprime << std::endl;
+  std::cout << GridLogMessage << "dS      " << Sprime-S << std::endl;
+  std::cout << GridLogMessage << "predict dS    " << dSpred << std::endl;*/
+  printf("\nS = %1.15e\n", S);
+  printf("Sprime = %1.15e\n", Sprime);
+  printf("dS = %1.15e\n", Sprime - S);
+  printf("real(dS_predict) = %1.15e\n", dSpred.real());
+  printf("imag(dS_predict) = %1.15e\n\n", dSpred.imag());
+
+  assert( fabs(real(Sprime-S-dSpred)) < 1.0 ) ;
+
+  std::cout << GridLogMessage << "Done" << std::endl;
+  Grid_finalize();
+}

tests/forces/Test_mobius_gpforce_eofa.cc

@@ -0,0 +1,171 @@
+/*************************************************************************************
+
+Grid physics library, www.github.com/paboyle/Grid
+
+Source file: ./tests/forces/Test_dwf_force_eofa.cc
+
+Copyright (C) 2017
+
+Author: Peter Boyle <paboyle@ph.ed.ac.uk>
+Author: David Murphy <dmurphy@phys.columbia.edu>
+
+This program is free software; you can redistribute it and/or modify
+it under the terms of the GNU General Public License as published by
+the Free Software Foundation; either version 2 of the License, or
+(at your option) any later version.
+
+This program is distributed in the hope that it will be useful,
+but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+GNU General Public License for more details.
+
+You should have received a copy of the GNU General Public License along
+with this program; if not, write to the Free Software Foundation, Inc.,
+51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
+
+See the full license in the file "LICENSE" in the top level distribution directory
+*************************************************************************************/
+/*  END LEGAL */
+
+#include <Grid/Grid.h>
+
+using namespace std;
+using namespace Grid;
+using namespace Grid::QCD;
+
+typedef GparityWilsonImplR FermionImplPolicy;
+typedef GparityMobiusEOFAFermionR FermionAction;
+typedef typename FermionAction::FermionField FermionField;
+
+int main (int argc, char** argv)
+{
+  Grid_init(&argc, &argv);
+
+  std::vector<int> latt_size   = GridDefaultLatt();
+  std::vector<int> simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
+  std::vector<int> mpi_layout  = GridDefaultMpi();
+
+  const int Ls = 8;
+
+  GridCartesian         *UGrid   = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplex::Nsimd()), GridDefaultMpi());
+  GridRedBlackCartesian *UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
+  GridCartesian         *FGrid   = SpaceTimeGrid::makeFiveDimGrid(Ls, UGrid);
+  GridRedBlackCartesian *FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls, UGrid);
+
+  // Want a different conf at every run
+  // First create an instance of an engine.
+  std::random_device rnd_device;
+  // Specify the engine and distribution.
+  std::mt19937 mersenne_engine(rnd_device());
+  std::uniform_int_distribution<int> dist(1, 100);
+
+  auto gen = std::bind(dist, mersenne_engine);
+  std::vector<int> seeds4(4);
+  generate(begin(seeds4), end(seeds4), gen);
+
+  //std::vector<int> seeds4({1,2,3,5});
+  std::vector<int> seeds5({5,6,7,8});
+  GridParallelRNG RNG5(FGrid);  RNG5.SeedFixedIntegers(seeds5);
+  GridParallelRNG RNG4(UGrid);  RNG4.SeedFixedIntegers(seeds4);
+
+  int threads = GridThread::GetThreads();
+  std::cout << GridLogMessage << "Grid is setup to use " << threads << " threads" << std::endl;
+
+  FermionField phi        (FGrid);  gaussian(RNG5, phi);
+  FermionField Mphi       (FGrid);
+  FermionField MphiPrime  (FGrid);
+
+  LatticeGaugeField U(UGrid);
+  SU3::HotConfiguration(RNG4,U);
+
+  ////////////////////////////////////
+  // Unmodified matrix element
+  ////////////////////////////////////
+  RealD b  = 2.5;
+  RealD c  = 1.5;
+  RealD mf = 0.01;
+  RealD mb = 1.0;
+  RealD M5 = 1.8;
+  FermionAction::ImplParams params;
+  FermionAction Lop(U, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mf, mf, mb, 0.0, -1, M5, b, c, params);
+  FermionAction Rop(U, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mb, mf, mb, -1.0, 1, M5, b, c, params);
+  OneFlavourRationalParams Params(0.95, 100.0, 5000, 1.0e-12, 12);
+  ConjugateGradient<FermionField> CG(1.0e-12, 5000);
+  ExactOneFlavourRatioPseudoFermionAction<FermionImplPolicy> Meofa(Lop, Rop, CG, Params, false);
+
+  Meofa.refresh(U, RNG5);
+  RealD S = Meofa.S(U); // pdag M p
+
+  // get the deriv of phidag M phi with respect to "U"
+  LatticeGaugeField UdSdU(UGrid);
+  Meofa.deriv(U, UdSdU);
+
+  ////////////////////////////////////
+  // Modify the gauge field a little
+  ////////////////////////////////////
+  RealD dt = 0.0001;
+
+  LatticeColourMatrix mommu(UGrid);
+  LatticeColourMatrix forcemu(UGrid);
+  LatticeGaugeField mom(UGrid);
+  LatticeGaugeField Uprime(UGrid);
+
+  for(int mu=0; mu<Nd; mu++){
+
+    SU3::GaussianFundamentalLieAlgebraMatrix(RNG4, mommu); // Traceless antihermitian momentum; gaussian in lie alg
+
+    PokeIndex<LorentzIndex>(mom, mommu, mu);
+
+    // fourth order exponential approx
+    parallel_for(auto i=mom.begin(); i<mom.end(); i++){
+      Uprime[i](mu) = U[i](mu) + mom[i](mu)*U[i](mu)*dt + mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt/2.0)
+                        + mom[i](mu) *mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt*dt/6.0)
+                        + mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt*dt*dt/24.0)
+                        + mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt*dt*dt*dt/120.0)
+                        + mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt*dt*dt*dt*dt/720.0);
+    }
+  }
+
+  /*Ddwf.ImportGauge(Uprime);
+  Ddwf.M          (phi,MphiPrime);
+
+  ComplexD Sprime    = innerProduct(MphiPrime   ,MphiPrime);*/
+  RealD Sprime = Meofa.S(Uprime);
+
+  //////////////////////////////////////////////
+  // Use derivative to estimate dS
+  //////////////////////////////////////////////
+
+  LatticeComplex dS(UGrid);
+  dS = zero;
+  for(int mu=0; mu<Nd; mu++){
+    mommu = PeekIndex<LorentzIndex>(UdSdU, mu);
+    mommu = Ta(mommu)*2.0;
+    PokeIndex<LorentzIndex>(UdSdU, mommu, mu);
+  }
+
+  for(int mu=0; mu<Nd; mu++){
+    forcemu = PeekIndex<LorentzIndex>(UdSdU, mu);
+    mommu   = PeekIndex<LorentzIndex>(mom, mu);
+
+    // Update PF action density
+    dS = dS + trace(mommu*forcemu)*dt;
+  }
+
+  ComplexD dSpred = sum(dS);
+
+  /*std::cout << GridLogMessage << " S      " << S << std::endl;
+  std::cout << GridLogMessage << " Sprime " << Sprime << std::endl;
+  std::cout << GridLogMessage << "dS      " << Sprime-S << std::endl;
+  std::cout << GridLogMessage << "predict dS    " << dSpred << std::endl;*/
+  printf("\nS = %1.15e\n", S);
+  printf("Sprime = %1.15e\n", Sprime);
+  printf("dS = %1.15e\n", Sprime - S);
+  printf("real(dS_predict) = %1.15e\n", dSpred.real());
+  printf("imag(dS_predict) = %1.15e\n\n", dSpred.imag());
+
+  assert( fabs(real(Sprime-S-dSpred)) < 1.0 ) ;
+
+  std::cout << GridLogMessage << "Done" << std::endl;
+  Grid_finalize();
+}

tests/forces/Test_rect_force.cc

@@ -42,7 +42,7 @@ int main (int argc, char ** argv)
   std::vector<int> mpi_layout  = GridDefaultMpi();
 
   GridCartesian               Grid(latt_size,simd_layout,mpi_layout);
-  GridRedBlackCartesian     RBGrid(latt_size,simd_layout,mpi_layout);
+  GridRedBlackCartesian     RBGrid(&Grid);
 
   int threads = GridThread::GetThreads();
   std::cout<<GridLogMessage << "Grid is setup to use "<<threads<<" threads"<<std::endl;

tests/forces/Test_wilson_force.cc

@@ -42,7 +42,7 @@ int main (int argc, char ** argv)
   std::vector<int> mpi_layout  = GridDefaultMpi();
 
   GridCartesian               Grid(latt_size,simd_layout,mpi_layout);
-  GridRedBlackCartesian     RBGrid(latt_size,simd_layout,mpi_layout);
+  GridRedBlackCartesian     RBGrid(&Grid);
 
   int threads = GridThread::GetThreads();
   std::cout<<GridLogMessage << "Grid is setup to use "<<threads<<" threads"<<std::endl;

tests/smearing/Test_WilsonFlow.cc

@@ -71,7 +71,7 @@ int main(int argc, char **argv) {
   std::vector<int> simd_layout = GridDefaultSimd(Nd, vComplex::Nsimd());
   std::vector<int> mpi_layout  = GridDefaultMpi();
   GridCartesian               Grid(latt_size, simd_layout, mpi_layout);
-  GridRedBlackCartesian     RBGrid(latt_size, simd_layout, mpi_layout);
+  GridRedBlackCartesian     RBGrid(&Grid);
 
   std::vector<int> seeds({1, 2, 3, 4, 5});
   GridSerialRNG sRNG;

tests/solver/Params.h

@@ -0,0 +1,136 @@
+/*
+  Params IO
+
+  Author: Christoph Lehner
+  Date:   2017
+*/
+
+#define PADD(p,X) p.get(#X,X);
+
+class Params {
+ protected:
+
+  std::string trim(const std::string& sc) {
+    std::string s = sc;
+    s.erase(s.begin(), std::find_if(s.begin(), s.end(),
+				    std::not1(std::ptr_fun<int, int>(std::isspace))));
+    s.erase(std::find_if(s.rbegin(), s.rend(),
+			 std::not1(std::ptr_fun<int, int>(std::isspace))).base(), s.end());
+    return s;
+  }
+
+ public:
+
+  std::map< std::string, std::string > lines;
+  std::string _fn;
+
+ Params(const char* fn) : _fn(fn) {
+    FILE* f = fopen(fn,"rt");
+    assert(f);
+    while (!feof(f)) {
+      char buf[4096];
+      if (fgets(buf,sizeof(buf),f)) {
+	if (buf[0] != '#' && buf[0] != '\r' && buf[0] != '\n') {
+	  char* sep = strchr(buf,'=');
+	  assert(sep);
+	  *sep = '\0';
+	  lines[trim(buf)] = trim(sep+1);
+	}
+      }
+    }      
+    fclose(f);
+  }
+
+  ~Params() {
+  }
+
+  std::string loghead() {
+    return _fn + ": ";
+  }
+
+  bool has(const char* name) {
+    auto f = lines.find(name);
+    return (f != lines.end());
+  }
+
+  const std::string& get(const char* name) {
+    auto f = lines.find(name);
+    if (f == lines.end()) {
+      std::cout << Grid::GridLogMessage << loghead() << "Could not find value for " << name << std::endl;
+      abort();
+    }
+    return f->second;
+  }
+
+  void parse(std::string& s, const std::string& cval) {
+    std::stringstream trimmer;
+    trimmer << cval;
+    s.clear();
+    trimmer >> s;
+  }
+
+  void parse(int& i, const std::string& cval) {
+    assert(sscanf(cval.c_str(),"%d",&i)==1);
+  }
+
+  void parse(long long& i, const std::string& cval) {
+    assert(sscanf(cval.c_str(),"%lld",&i)==1);
+  }
+
+  void parse(double& f, const std::string& cval) {
+    assert(sscanf(cval.c_str(),"%lf",&f)==1);
+  }
+
+  void parse(float& f, const std::string& cval) {
+    assert(sscanf(cval.c_str(),"%f",&f)==1);
+  }
+
+  void parse(bool& b, const std::string& cval) {
+    std::string lcval = cval;
+    std::transform(lcval.begin(), lcval.end(), lcval.begin(), ::tolower);
+    if (lcval == "true" || lcval == "yes") {
+      b = true;
+    } else if (lcval == "false" || lcval == "no") {
+      b = false;
+    } else {
+      std::cout << "Invalid value for boolean: " << b << std::endl;
+      assert(0);
+    }
+  }
+
+  void parse(std::complex<double>& f, const std::string& cval) {
+    double r,i;
+    assert(sscanf(cval.c_str(),"%lf %lf",&r,&i)==2);
+    f = std::complex<double>(r,i);
+  }
+
+  void parse(std::complex<float>& f, const std::string& cval) {
+    float r,i;
+    assert(sscanf(cval.c_str(),"%f %f",&r,&i)==2);
+    f = std::complex<float>(r,i);
+  }
+
+  template<class T>
+    void get(const char* name, std::vector<T>& v) {
+    int i = 0;
+    v.resize(0);
+    while (true) {
+      char buf[4096];
+      sprintf(buf,"%s[%d]",name,i++);
+      if (!has(buf))
+	break;
+      T val;
+      parse(val,get(buf));
+      std::cout << Grid::GridLogMessage << loghead() << "Set " << buf << " to " << val << std::endl;
+      v.push_back(val);
+    }
+  }
+
+  template<class T>
+    void get(const char* name, T& f) {
+    parse(f,get(name));
+    std::cout << Grid::GridLogMessage << loghead() << "Set " << name << " to " << f << std::endl;
+  }
+
+  
+};

tests/solver/Test_dwf_compressed_lanczos.cc

@@ -0,0 +1,727 @@
+/*
+  Authors: Christoph Lehner
+  Date: 2017
+
+  Multigrid Lanczos
+
+
+
+  TODO:
+
+  High priority:
+  - Explore filtering of starting vector again, should really work:  If cheby has 4 for low mode region and 1 for high mode, applying 15 iterations has 1e9 suppression
+    of high modes, which should create the desired invariant subspace already?  Missing something here???  Maybe dynamic range dangerous, i.e., could also kill interesting
+    eigenrange if not careful.
+
+    Better: Use all Cheby up to order N in order to approximate a step function; try this!  Problem: width of step function.  Can kill eigenspace > 1e-3 and have < 1e-5 equal
+            to 1
+
+  Low priority:
+  - Given that I seem to need many restarts and high degree poly to create the base and this takes about 1 day, seriously consider a simple method to create a basis
+    (ortho krylov low poly); and then fix up lowest say 200 eigenvalues by 1 run with high-degree poly (600 could be enough)
+*/
+#include <Grid/Grid.h>
+#include "Params.h"
+
+#include <Grid/algorithms/iterative/BlockImplicitlyRestartedLanczos/BlockImplicitlyRestartedLanczos.h>
+
+using namespace std;
+using namespace Grid;
+using namespace Grid::QCD;
+
+bool read_evals(GridBase* _grid, char* fn, std::vector<RealD>& evals) {
+
+  FILE* f = 0;
+  uint32_t status = 0;
+  if (_grid->IsBoss()) {
+    f = fopen(fn,"rt");
+    status = f ? 1 : 0;
+  }
+  _grid->GlobalSum(status);
+
+  if (!status)
+    return false;
+
+  uint32_t N;
+  if (f)
+    assert(fscanf(f,"%d\n",&N)==1);
+  else
+    N = 0;
+  _grid->GlobalSum(N);
+
+  std::cout << "Reading " << N << " eigenvalues" << std::endl;
+
+  evals.resize(N);
+
+  for (int i=0;i<N;i++) {
+    if (f)
+      assert(fscanf(f,"%lf",&evals[i])==1);
+    else
+      evals[i] = 0;
+  }
+
+  _grid->GlobalSumVector(&evals[0],evals.size());
+
+  if (f)
+    fclose(f);
+  return true;
+}
+
+void write_evals(char* fn, std::vector<RealD>& evals) {
+  FILE* f = fopen(fn,"wt");
+  assert(f);
+
+  int N = (int)evals.size();
+  fprintf(f,"%d\n",N);
+
+  for (int i=0;i<N;i++) {
+    fprintf(f,"%.15E\n",evals[i]);
+  }
+
+  fclose(f);
+}
+
+void write_history(char* fn, std::vector<RealD>& hist) {
+  FILE* f = fopen(fn,"wt");
+  assert(f);
+
+  int N = (int)hist.size();
+  for (int i=0;i<N;i++) {
+    fprintf(f,"%d %.15E\n",i,hist[i]);
+  }
+
+  fclose(f);
+}
+
+template<typename Field>
+class FunctionHermOp : public LinearFunction<Field> {
+public:
+  OperatorFunction<Field>   & _poly;
+  LinearOperatorBase<Field> &_Linop;
+
+  FunctionHermOp(OperatorFunction<Field> & poly,LinearOperatorBase<Field>& linop) : _poly(poly), _Linop(linop) {
+  }
+
+  void operator()(const Field& in, Field& out) {
+    _poly(_Linop,in,out);
+  }
+};
+
+template<typename Field>
+class CheckpointedLinearFunction : public LinearFunction<Field> {
+public:
+  LinearFunction<Field>& _op;
+  std::string _dir;
+  int _max_apply;
+  int _apply, _apply_actual;
+  GridBase* _grid;
+  FILE* _f;
+
+  CheckpointedLinearFunction(GridBase* grid, LinearFunction<Field>& op, const char* dir,int max_apply) : _op(op), _dir(dir), _grid(grid), _f(0),
+													 _max_apply(max_apply), _apply(0), _apply_actual(0) {
+
+    FieldVectorIO::conditionalMkDir(dir);
+
+    char fn[4096];
+    sprintf(fn,"%s/ckpt_op.%4.4d",_dir.c_str(),_grid->ThisRank());
+    printf("CheckpointLinearFunction:: file %s\n",fn);
+    _f = fopen(fn,"r+b");
+    if (!_f)
+      _f = fopen(fn,"w+b");
+    assert(_f);
+    fseek(_f,0,SEEK_CUR);
+
+  }
+
+  ~CheckpointedLinearFunction() {
+    if (_f) {
+      fclose(_f);
+      _f = 0;
+    }
+  }
+
+  bool load_ckpt(const Field& in, Field& out) {
+
+    off_t cur = ftello(_f);
+    fseeko(_f,0,SEEK_END);
+    if (cur == ftello(_f))
+      return false;
+    fseeko(_f,cur,SEEK_SET);
+
+    size_t sz = sizeof(out._odata[0]) * out._odata.size();
+
+    GridStopWatch gsw;
+    gsw.Start();
+    uint32_t crc_exp;
+    assert(fread(&crc_exp,4,1,_f)==1);
+    assert(fread(&out._odata[0],sz,1,_f)==1);
+    assert(FieldVectorIO::crc32_threaded((unsigned char*)&out._odata[0],sz,0x0)==crc_exp);
+    gsw.Stop();
+
+    printf("CheckpointLinearFunction:: reading %lld\n",(long long)sz);
+    std::cout << GridLogMessage << "Loading " << ((RealD)sz/1024./1024./1024.) << " GB in " << gsw.Elapsed() << std::endl;
+    return true;
+  }
+
+  void save_ckpt(const Field& in, Field& out) {
+
+    fseek(_f,0,SEEK_CUR); // switch to write
+
+    size_t sz = sizeof(out._odata[0]) * out._odata.size();
+
+    GridStopWatch gsw;
+    gsw.Start();
+    uint32_t crc = FieldVectorIO::crc32_threaded((unsigned char*)&out._odata[0],sz,0x0);
+    assert(fwrite(&crc,4,1,_f)==1);
+    assert(fwrite(&out._odata[0],sz,1,_f)==1);
+    fflush(_f); // try this on the GPFS to suppress OPA usage for disk during dslash; this is not needed at Lustre/JLAB
+    gsw.Stop();
+
+    printf("CheckpointLinearFunction:: writing %lld\n",(long long)sz);
+    std::cout << GridLogMessage << "Saving " << ((RealD)sz/1024./1024./1024.) << " GB in " << gsw.Elapsed() << std::endl;
+  }
+
+  void operator()(const Field& in, Field& out) {
+
+    _apply++;
+
+    if (load_ckpt(in,out))
+      return;
+
+    _op(in,out);
+    
+    save_ckpt(in,out);
+
+    if (_apply_actual++ >= _max_apply) {
+      std::cout << GridLogMessage << "Maximum application of operator reached, checkpoint and finish in future job" << std::endl;
+      if (_f) { fclose(_f); _f=0; }
+      in._grid->Barrier();
+      Grid_finalize();
+      exit(3);
+    }
+  }
+};
+
+template<typename CoarseField,typename Field>
+class ProjectedFunctionHermOp : public LinearFunction<CoarseField> {
+public:
+  OperatorFunction<Field>   & _poly;
+  LinearOperatorBase<Field> &_Linop;
+  BlockProjector<Field>& _pr;
+
+  ProjectedFunctionHermOp(BlockProjector<Field>& pr,OperatorFunction<Field> & poly,LinearOperatorBase<Field>& linop) : _poly(poly), _Linop(linop), _pr(pr) {
+  }
+
+  void operator()(const CoarseField& in, CoarseField& out) {
+    assert(_pr._bgrid._o_blocks == in._grid->oSites());
+
+    Field fin(_pr._bgrid._grid);
+    Field fout(_pr._bgrid._grid);
+
+    GridStopWatch gsw1,gsw2,gsw3;
+    // fill fin
+    gsw1.Start();
+    _pr.coarseToFine(in,fin);
+    gsw1.Stop();
+
+    // apply poly
+    gsw2.Start();
+    _poly(_Linop,fin,fout);
+    gsw2.Stop();
+
+    // fill out
+    gsw3.Start();
+    _pr.fineToCoarse(fout,out);
+    gsw3.Stop();
+
+    auto eps = innerProduct(in,out);
+    std::cout << GridLogMessage << "Operator timing details: c2f = " << gsw1.Elapsed() << " poly = " << gsw2.Elapsed() << " f2c = " << gsw3.Elapsed() << 
+      "   Complimentary Hermiticity check: " << eps.imag() / std::abs(eps) << std::endl;
+
+  }
+};
+
+template<typename CoarseField,typename Field>
+class ProjectedHermOp : public LinearFunction<CoarseField> {
+public:
+  LinearOperatorBase<Field> &_Linop;
+  BlockProjector<Field>& _pr;
+
+  ProjectedHermOp(BlockProjector<Field>& pr,LinearOperatorBase<Field>& linop) : _Linop(linop), _pr(pr) {
+  }
+
+  void operator()(const CoarseField& in, CoarseField& out) {
+    assert(_pr._bgrid._o_blocks == in._grid->oSites());
+    Field fin(_pr._bgrid._grid);
+    Field fout(_pr._bgrid._grid);
+    _pr.coarseToFine(in,fin);
+    _Linop.HermOp(fin,fout);
+    _pr.fineToCoarse(fout,out);
+
+  }
+};
+
+template<typename Field>
+class PlainHermOp : public LinearFunction<Field> {
+public:
+  LinearOperatorBase<Field> &_Linop;
+
+  PlainHermOp(LinearOperatorBase<Field>& linop) : _Linop(linop) {
+  }
+
+  void operator()(const Field& in, Field& out) {
+    _Linop.HermOp(in,out);
+  }
+};
+
+template<typename vtype, int N > using CoarseSiteFieldGeneral = iScalar< iVector<vtype, N> >;
+template<int N> using CoarseSiteFieldD = CoarseSiteFieldGeneral< vComplexD, N >;
+template<int N> using CoarseSiteFieldF = CoarseSiteFieldGeneral< vComplexF, N >;
+template<int N> using CoarseSiteField  = CoarseSiteFieldGeneral< vComplex,  N >;
+template<int N> using CoarseLatticeFermion  = Lattice< CoarseSiteField<N> >;
+template<int N> using CoarseLatticeFermionD = Lattice< CoarseSiteFieldD<N> >;
+
+template<typename Field,int Nstop1>
+void CoarseGridLanczos(BlockProjector<Field>& pr,RealD alpha2,RealD beta,int Npoly2,
+		       int Nstop2,int Nk2,int Nm2,RealD resid2,RealD betastp2,int MaxIt,int MinRes2,
+		       LinearOperatorBase<Field>& HermOp, std::vector<RealD>& eval1, bool cg_test_enabled, 
+		       int cg_test_maxiter,int nsingle,int SkipTest2, int MaxApply2,bool smoothed_eval_enabled,
+		       int smoothed_eval_inner,int smoothed_eval_outer,int smoothed_eval_begin,
+		       int smoothed_eval_end,RealD smoothed_eval_inner_resid) {
+
+  BlockedGrid<Field>& bgrid = pr._bgrid;
+  BasisFieldVector<Field>& basis = pr._evec;
+
+
+  std::vector<int> coarseFourDimLatt;
+  for (int i=0;i<4;i++)
+    coarseFourDimLatt.push_back(bgrid._nb[1+i] * bgrid._grid->_processors[1+i]);
+  assert(bgrid._grid->_processors[0] == 1);
+
+  std::cout << GridLogMessage << "CoarseGrid = " << coarseFourDimLatt << " with basis = " << Nstop1 << std::endl;
+  GridCartesian         * UCoarseGrid   = SpaceTimeGrid::makeFourDimGrid(coarseFourDimLatt, GridDefaultSimd(Nd,vComplex::Nsimd()),GridDefaultMpi());
+  GridCartesian         * FCoarseGrid   = SpaceTimeGrid::makeFiveDimGrid(bgrid._nb[0],UCoarseGrid);
+
+  Chebyshev<Field> Cheb2(alpha2,beta,Npoly2);
+  CoarseLatticeFermion<Nstop1> src_coarse(FCoarseGrid);
+
+  // Second round of Lanczos in blocked space
+  std::vector<RealD>         eval2(Nm2);
+  std::vector<RealD>         eval3(Nm2);
+  BasisFieldVector<CoarseLatticeFermion<Nstop1> > coef(Nm2,FCoarseGrid);
+
+  ProjectedFunctionHermOp<CoarseLatticeFermion<Nstop1>,LatticeFermion> Op2plain(pr,Cheb2,HermOp);
+  CheckpointedLinearFunction<CoarseLatticeFermion<Nstop1> > Op2ckpt(src_coarse._grid,Op2plain,"checkpoint",MaxApply2);
+  LinearFunction< CoarseLatticeFermion<Nstop1> >* Op2;
+  if (MaxApply2) {
+    Op2 = &Op2ckpt;
+  } else {
+    Op2 = &Op2plain;
+  }
+  ProjectedHermOp<CoarseLatticeFermion<Nstop1>,LatticeFermion> Op2nopoly(pr,HermOp);
+  BlockImplicitlyRestartedLanczos<CoarseLatticeFermion<Nstop1> > IRL2(*Op2,*Op2,Nstop2,Nk2,Nm2,resid2,betastp2,MaxIt,MinRes2);
+
+
+  src_coarse = 1.0;
+  
+  // Precision test
+  {
+    Field tmp(bgrid._grid);
+    CoarseLatticeFermion<Nstop1> tmp2(FCoarseGrid);
+    CoarseLatticeFermion<Nstop1> tmp3(FCoarseGrid);
+    tmp2 = 1.0;
+    tmp3 = 1.0;
+
+    pr.coarseToFine(tmp2,tmp);
+    pr.fineToCoarse(tmp,tmp2);
+
+    tmp2 -= tmp3;
+    std::cout << GridLogMessage << "Precision Test c->f->c: " << norm2(tmp2) / norm2(tmp3) << std::endl;
+
+    //bgrid._grid->Barrier();
+    //return;
+  }
+
+  int Nconv;
+  if (!FieldVectorIO::read_compressed_vectors("lanczos.output",pr,coef) ||
+      !read_evals(UCoarseGrid,(char *)"lanczos.output/eigen-values.txt",eval3) ||
+      !read_evals(UCoarseGrid,(char *)"lanczos.output/eigen-values.txt.linear",eval1) ||
+      !read_evals(UCoarseGrid,(char *)"lanczos.output/eigen-values.txt.poly",eval2)
+      ) {
+    
+
+    IRL2.calc(eval2,coef,src_coarse,Nconv,true,SkipTest2);
+
+    coef.resize(Nstop2);
+    eval2.resize(Nstop2);
+    eval3.resize(Nstop2);
+
+    std::vector<Field> step3_cache;
+
+    // reconstruct eigenvalues of original operator
+    for (int i=0;i<Nstop2;i++){
+      RealD eval2_linear;
+
+      if (i<Nstop1) {
+	eval2_linear = eval1[i];
+      } else {
+	eval2_linear = eval2[i-1];
+      }
+
+      RealD eval2_poly = eval2[i];
+      RealD eval_reconstruct = Cheb2.approxInv(eval2_poly,eval2_linear,100,1e-10);
+      std::cout << i << " Reconstructed eval = " << eval_reconstruct << " from quess " << eval2_linear << std::endl;
+      eval2[i] = eval_reconstruct;
+    }
+    
+    // as demonstrated in CG test below, best result from mixed determination
+    for (int i=0;i<Nstop2;i++)
+      eval3[i] = (i < Nstop1) ? eval1[i] : eval2[i];
+    
+    for(int i=0;i<Nstop2;i++){
+      std::cout << i<<" / "<< Nstop2<< " eigenvalue "<< eval3[i] <<std::endl;
+    };
+    
+    // write
+    mkdir("lanczos.output",ACCESSPERMS);
+    FieldVectorIO::write_compressed_vectors("lanczos.output",pr,coef,nsingle);
+    if (bgrid._grid->IsBoss()) {
+      write_evals((char *)"lanczos.output/eigen-values.txt",eval3);
+      write_evals((char *)"lanczos.output/eigen-values.txt.linear",eval1);
+      write_evals((char *)"lanczos.output/eigen-values.txt.poly",eval2);
+    }
+
+  }
+
+  // fix up eigenvalues
+  if (!read_evals(UCoarseGrid,(char *)"lanczos.output/eigen-values.txt.smoothed",eval3) && smoothed_eval_enabled) {
+
+    ConjugateGradient<LatticeFermion> CG(smoothed_eval_inner_resid, smoothed_eval_inner, false);
+
+    LatticeFermion v_i(basis[0]._grid);
+    auto tmp = v_i;
+    auto tmp2 = v_i;
+
+    for (int i=smoothed_eval_begin;i<smoothed_eval_end;i++) {
+
+      GridStopWatch gsw;
+
+      gsw.Start();
+
+      pr.coarseToFine(coef[i],v_i);
+      v_i.checkerboard = Odd;
+      
+      for (int j=0;j<smoothed_eval_outer;j++) {
+	tmp=zero;
+	//pr.deflate(coef,eval3,Nstop2,v_i,tmp);
+	CG(HermOp, v_i, tmp);
+
+	v_i = 1.0 / ::sqrt( norm2(tmp) ) * tmp;
+      }
+
+      tmp = v_i;
+
+      HermOp.HermOp(tmp,tmp2);
+
+      RealD ev = innerProduct(tmp,tmp2).real();
+
+      gsw.Stop();
+
+      std::cout << GridLogMessage << "Smoothed eigenvalue " << i << " from " << eval3[i] << " to " << ev << " in " << gsw.Elapsed() << std::endl;
+      //	" with effective smoother precision " << (CG.ResHistory.back() / CG.ResHistory.front() ) << std::endl;
+      //      CG.ResHistory.clear();
+
+      eval3[i] = ev;
+    }
+
+    if (bgrid._grid->IsBoss()) {
+      write_evals((char *)"lanczos.output/eigen-values.txt.smoothed",eval3);
+      write_evals((char *)"lanczos.output/eigen-values.txt",eval3); // also reset this to the best ones we have available
+    }
+  }
+
+  // do CG test with and without deflation
+  if (cg_test_enabled) {
+    ConjugateGradient<LatticeFermion> CG(1.0e-8, cg_test_maxiter, false);
+    LatticeFermion src_orig(bgrid._grid);
+    src_orig.checkerboard = Odd;
+    src_orig = 1.0;
+    src_orig = src_orig * (1.0 / ::sqrt(norm2(src_orig)) );
+    auto result = src_orig; 
+
+    // undeflated solve
+    result = zero;
+    CG(HermOp, src_orig, result);
+    //    if (UCoarseGrid->IsBoss())
+    //      write_history("cg_test.undefl",CG.ResHistory);
+    //    CG.ResHistory.clear();
+
+    // deflated solve with all eigenvectors
+    result = zero;
+    pr.deflate(coef,eval2,Nstop2,src_orig,result);
+    CG(HermOp, src_orig, result);
+    //    if (UCoarseGrid->IsBoss())
+    //      write_history("cg_test.defl_all",CG.ResHistory);
+    //    CG.ResHistory.clear();
+
+    // deflated solve with non-blocked eigenvectors
+    result = zero;
+    pr.deflate(coef,eval1,Nstop1,src_orig,result);
+    CG(HermOp, src_orig, result);
+    //    if (UCoarseGrid->IsBoss())
+    //      write_history("cg_test.defl_full",CG.ResHistory);
+    //    CG.ResHistory.clear();
+
+    // deflated solve with all eigenvectors and original eigenvalues from proj
+    result = zero;
+    pr.deflate(coef,eval3,Nstop2,src_orig,result);
+    CG(HermOp, src_orig, result);
+    //    if (UCoarseGrid->IsBoss())
+    //      write_history("cg_test.defl_all_ev3",CG.ResHistory);
+    //    CG.ResHistory.clear();
+
+  }
+  
+}
+
+
+template<typename Field>
+void quick_krylov_basis(BasisFieldVector<Field>& evec,Field& src,LinearFunction<Field>& Op,int Nstop) {
+  Field tmp = src;
+  Field tmp2 = tmp;
+
+  for (int i=0;i<Nstop;i++) {
+    GridStopWatch gsw;
+    gsw.Start();
+    Op(tmp,tmp2);
+    gsw.Stop();
+    evec.orthogonalize(tmp2,i);
+
+    RealD nn = norm2(tmp2);
+    nn = Grid::sqrt(nn);
+    tmp2 = tmp2 * (1.0/nn);
+
+    evec[i] = tmp2;
+    tmp = tmp2;
+    std::cout << GridLogMessage << "Quick_krylov_basis: " << i << "/" << Nstop << " timing of operator=" << gsw.Elapsed() << std::endl;
+  }
+
+}
+
+
+
+int main (int argc, char ** argv) {
+
+  Grid_init(&argc,&argv);
+
+  const int MaxIt = 10000;
+
+  int Ls;
+  RealD mass;
+  RealD M5;
+  std::vector < std::complex<double>  > omega;
+  
+  RealD alpha1, alpha2, beta;
+  int Npoly1, Npoly2;
+  int Nstop1, Nstop2;
+  int Nk1, Nk2;
+  int Np1, Np2;
+  int MinRes1, MinRes2;
+  int SkipTest2, MaxApply2;
+  bool checkpoint_basis;
+  bool cg_test_enabled;
+  bool exit_after_basis_calculation;
+  bool simple_krylov_basis;
+  int cg_test_maxiter;
+  int nsingle; // store in single precision, the rest in FP16
+  int max_cheb_time_ms;
+  bool smoothed_eval_enabled;
+  int smoothed_eval_inner;
+  int smoothed_eval_outer;
+  int smoothed_eval_begin;
+  int smoothed_eval_end;
+  RealD smoothed_eval_inner_resid;
+
+  // vector representation
+  std::vector<int> block_size; // 5d block size
+
+  RealD resid1, resid2, betastp1, betastp2, basis_norm_threshold;
+
+  std::string config;
+  
+  Params jp("params.txt");
+  PADD(jp,Npoly1); PADD(jp,Npoly2);
+  PADD(jp,max_cheb_time_ms);
+  PADD(jp,Nstop1); PADD(jp,Nstop2); PADD(jp,MaxApply2);
+  PADD(jp,Nk1); PADD(jp,Nk2); PADD(jp,betastp1); PADD(jp,betastp2);
+  PADD(jp,Np1); PADD(jp,Np2); basis_norm_threshold = 1e-5; //PADD(jp,basis_norm_threshold);
+  PADD(jp,block_size); PADD(jp,smoothed_eval_enabled); PADD(jp,smoothed_eval_inner);
+  PADD(jp,resid1); PADD(jp,resid2); PADD(jp,smoothed_eval_outer);
+  PADD(jp,alpha1); PADD(jp,alpha2); PADD(jp,smoothed_eval_begin);
+  PADD(jp,MinRes1); PADD(jp,MinRes2); PADD(jp,smoothed_eval_end);
+  PADD(jp,beta); PADD(jp,mass); PADD(jp,smoothed_eval_inner_resid);
+  PADD(jp,omega); PADD(jp,config); 
+  PADD(jp,M5); PADD(jp,cg_test_enabled);
+  PADD(jp,cg_test_maxiter); PADD(jp,checkpoint_basis);
+  PADD(jp,nsingle); PADD(jp,exit_after_basis_calculation);
+  PADD(jp,simple_krylov_basis); PADD(jp,SkipTest2);
+
+  Ls = (int)omega.size();
+
+  // Grids
+  GridCartesian         * UGrid   = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplex::Nsimd()),GridDefaultMpi());
+  GridCartesian         * UGridHP = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplexD::Nsimd()),GridDefaultMpi());
+  GridRedBlackCartesian * UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
+  GridRedBlackCartesian * UrbGridHP = SpaceTimeGrid::makeFourDimRedBlackGrid(UGridHP);
+  GridCartesian         * FGrid   = SpaceTimeGrid::makeFiveDimGrid(Ls,UGrid);
+  GridCartesian         * FGridHP   = SpaceTimeGrid::makeFiveDimGrid(Ls,UGridHP);
+  GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGrid);
+  GridRedBlackCartesian * FrbGridHP = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGridHP);
+
+  // Gauge field
+  LatticeGaugeField Umu(UGrid);
+  FieldMetaData header;
+  NerscIO::readConfiguration(Umu,header,config);
+  std::cout << GridLogMessage << "Lattice dimensions: " << GridDefaultLatt()
+            << "   Ls: " << Ls << std::endl;
+
+  // ZMobius EO Operator
+  ZMobiusFermionR Ddwf(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mass, M5, omega,1.,0.);
+  SchurDiagTwoOperator<ZMobiusFermionR,LatticeFermion> HermOp(Ddwf);
+
+  // Eigenvector storage
+  const int Nm1 = Np1 + Nk1;
+  const int Nm2 = Np2 + Nk2; // maximum number of vectors we need to keep
+  std::cout << GridLogMessage << "Keep " << Nm1 << " full vectors" << std::endl;
+  std::cout << GridLogMessage << "Keep " << Nm2 << " total vectors" << std::endl;
+  assert(Nm2 >= Nm1);
+  BasisFieldVector<LatticeFermion> evec(Nm1,FrbGrid); // start off with keeping full vectors
+
+  // First and second cheby
+  Chebyshev<LatticeFermion> Cheb1(alpha1,beta,Npoly1);
+  FunctionHermOp<LatticeFermion> Op1(Cheb1,HermOp);
+  PlainHermOp<LatticeFermion> Op1test(HermOp);
+
+  // Eigenvalue storage
+  std::vector<RealD>          eval1(evec.size());
+
+  // Construct source vector
+  LatticeFermion    src(FrbGrid);
+  {
+    src=1.0;
+    src.checkerboard = Odd;
+
+    // normalize
+    RealD nn = norm2(src);
+    nn = Grid::sqrt(nn);
+    src = src * (1.0/nn);
+  }
+
+  // Do a benchmark and a quick exit if performance is too little (ugly but needed due to performance fluctuations)
+  if (max_cheb_time_ms) {
+    // one round of warmup
+    auto tmp = src;
+    GridStopWatch gsw1,gsw2;
+    gsw1.Start();
+    Cheb1(HermOp,src,tmp);
+    gsw1.Stop();
+    Ddwf.ZeroCounters();
+    gsw2.Start();
+    Cheb1(HermOp,src,tmp);
+    gsw2.Stop();
+    Ddwf.Report();
+    std::cout << GridLogMessage << "Performance check; warmup = " << gsw1.Elapsed() << "  test = " << gsw2.Elapsed() << std::endl;
+    int ms = (int)(gsw2.useconds()/1e3);
+    if (ms > max_cheb_time_ms) {
+      std::cout << GridLogMessage << "Performance too poor: " << ms << " ms, cutoff = " << max_cheb_time_ms << " ms" << std::endl;
+      Grid_finalize();
+      return 2;
+    }
+
+  }
+
+  // First round of Lanczos to get low mode basis
+  BlockImplicitlyRestartedLanczos<LatticeFermion> IRL1(Op1,Op1test,Nstop1,Nk1,Nm1,resid1,betastp1,MaxIt,MinRes1);
+  int Nconv;
+
+  char tag[1024];
+  if (!FieldVectorIO::read_argonne(evec,(char *)"checkpoint") || !read_evals(UGrid,(char *)"checkpoint/eigen-values.txt",eval1)) {
+
+    if (simple_krylov_basis) {
+      quick_krylov_basis(evec,src,Op1,Nstop1);
+    } else {
+      IRL1.calc(eval1,evec,src,Nconv,false,1);
+    }
+    evec.resize(Nstop1); // and throw away superfluous
+    eval1.resize(Nstop1);
+    if (checkpoint_basis)
+      FieldVectorIO::write_argonne(evec,(char *)"checkpoint");
+    if (UGrid->IsBoss() && checkpoint_basis)
+      write_evals((char *)"checkpoint/eigen-values.txt",eval1);
+
+    Ddwf.Report();
+
+    if (exit_after_basis_calculation) {
+      Grid_finalize();
+      return 0;
+    }
+  }
+
+  // now test eigenvectors
+  if (!simple_krylov_basis) {
+    for (int i=0;i<Nstop1;i++){
+      auto B = evec[i];
+      auto tmp = B;
+      auto v = B;
+      
+      {
+	HermOp.HermOp(B,v);
+	
+	RealD vnum = real(innerProduct(B,v)); // HermOp.
+	RealD vden = norm2(B);
+	RealD vv0 = norm2(v);
+	RealD eval2 = vnum/vden;
+	v -= eval2*B;
+	RealD vv = norm2(v);
+	
+	std::cout << i << " OP eval = " << eval2 << " (" << eval1[i] << ") "
+		  << "res2 = " << vv << " norm2 = " << norm2(B) << std::endl;
+      }
+    }
+  }
+
+  // do second step only if needed
+  if (Nstop1 <= Nstop2) {
+    
+    // Now setup blocking
+    assert(evec.size() == Nstop1);
+    BlockedGrid<LatticeFermion> bgrid(FrbGrid, block_size);
+    BlockProjector<LatticeFermion> pr(evec,bgrid);
+    pr.createOrthonormalBasis(basis_norm_threshold);
+    pr.createOrthonormalBasis(basis_norm_threshold); // another round due to precision issues created by local coherence
+
+    constexpr int common_basis_sizes[] = { 60, 250, 400 };
+    constexpr int n_common_basis_sizes = sizeof(common_basis_sizes) / sizeof(common_basis_sizes[0]);
+    switch (Nstop1) {
+#define BASIS(n) case common_basis_sizes[n]:\
+      CoarseGridLanczos<LatticeFermion,common_basis_sizes[n]>\
+	(pr,alpha2,beta,Npoly2,Nstop2,Nk2,Nm2,resid2,betastp2,MaxIt,MinRes2,HermOp,eval1, \
+	 cg_test_enabled,cg_test_maxiter,nsingle,SkipTest2, \
+	 MaxApply2,smoothed_eval_enabled,smoothed_eval_inner,smoothed_eval_outer, \
+	 smoothed_eval_begin,smoothed_eval_end,smoothed_eval_inner_resid); break;
+      BASIS(0);
+      BASIS(1);
+      BASIS(2);
+    default:
+      std::cout << GridLogMessage << "Basis size " << Nstop1 << " must be added at compile-time" << std::endl;
+      std::cout << GridLogMessage << "Currently available sizes: " << std::endl;
+      for (int i=0;i<n_common_basis_sizes;i++) {
+	std::cout << GridLogMessage << "  " << common_basis_sizes[i] << std::endl;
+      }
+    }
+
+  }
+    
+  Grid_finalize();
+}
+

tests/solver/Test_dwf_mrhs_cg.cc

@@ -0,0 +1,229 @@
+    /*************************************************************************************
+
+    Grid physics library, www.github.com/paboyle/Grid 
+
+    Source file: ./tests/Test_dwf_mrhs_cg.cc
+
+    Copyright (C) 2015
+
+Author: Peter Boyle <paboyle@ph.ed.ac.uk>
+
+    This program is free software; you can redistribute it and/or modify
+    it under the terms of the GNU General Public License as published by
+    the Free Software Foundation; either version 2 of the License, or
+    (at your option) any later version.
+
+    This program is distributed in the hope that it will be useful,
+    but WITHOUT ANY WARRANTY; without even the implied warranty of
+    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+    GNU General Public License for more details.
+
+    You should have received a copy of the GNU General Public License along
+    with this program; if not, write to the Free Software Foundation, Inc.,
+    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
+
+    See the full license in the file "LICENSE" in the top level distribution directory
+    *************************************************************************************/
+    /*  END LEGAL */
+#include <Grid/Grid.h>
+#include <Grid/algorithms/iterative/BlockConjugateGradient.h>
+
+using namespace std;
+using namespace Grid;
+using namespace Grid::QCD;
+
+int main (int argc, char ** argv)
+{
+  typedef typename DomainWallFermionR::FermionField FermionField; 
+  typedef typename DomainWallFermionR::ComplexField ComplexField; 
+  typename DomainWallFermionR::ImplParams params; 
+
+  const int Ls=4;
+
+  Grid_init(&argc,&argv);
+
+  std::vector<int> latt_size   = GridDefaultLatt();
+  std::vector<int> simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
+  std::vector<int> mpi_layout  = GridDefaultMpi();
+  std::vector<int> mpi_split (mpi_layout.size(),1);
+
+  GridCartesian         * UGrid   = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplex::Nsimd()),GridDefaultMpi());
+  GridCartesian         * FGrid   = SpaceTimeGrid::makeFiveDimGrid(Ls,UGrid);
+  GridRedBlackCartesian * rbGrid  = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
+  GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGrid);
+
+  int nrhs = UGrid->RankCount() ;
+
+  /////////////////////////////////////////////
+  // Split into 1^4 mpi communicators
+  /////////////////////////////////////////////
+  GridCartesian         * SGrid = new GridCartesian(GridDefaultLatt(),
+						    GridDefaultSimd(Nd,vComplex::Nsimd()),
+						    mpi_split,
+						    *UGrid); 
+
+  GridCartesian         * SFGrid   = SpaceTimeGrid::makeFiveDimGrid(Ls,SGrid);
+  GridRedBlackCartesian * SrbGrid  = SpaceTimeGrid::makeFourDimRedBlackGrid(SGrid);
+  GridRedBlackCartesian * SFrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,SGrid);
+
+  ///////////////////////////////////////////////
+  // Set up the problem as a 4d spreadout job
+  ///////////////////////////////////////////////
+  std::vector<int> seeds({1,2,3,4});
+
+  GridParallelRNG pRNG(UGrid );  pRNG.SeedFixedIntegers(seeds);
+  GridParallelRNG pRNG5(FGrid);  pRNG5.SeedFixedIntegers(seeds);
+  std::vector<FermionField>    src(nrhs,FGrid);
+  std::vector<FermionField> src_chk(nrhs,FGrid);
+  std::vector<FermionField> result(nrhs,FGrid);
+  FermionField tmp(FGrid);
+
+  for(int s=0;s<nrhs;s++) random(pRNG5,src[s]);
+  for(int s=0;s<nrhs;s++) result[s]=zero;
+
+  LatticeGaugeField Umu(UGrid); SU3::HotConfiguration(pRNG,Umu);
+
+  ///////////////////////////////////////////////////////////////
+  // Bounce these fields to disk
+  ///////////////////////////////////////////////////////////////
+
+  std::cout << GridLogMessage << "****************************************************************** "<<std::endl;
+  std::cout << GridLogMessage << " Writing out in parallel view "<<std::endl;
+  std::cout << GridLogMessage << "****************************************************************** "<<std::endl;
+  emptyUserRecord record;
+  std::string file("./scratch.scidac");
+  std::string filef("./scratch.scidac.ferm");
+  int me = UGrid->ThisRank();
+  LatticeGaugeField s_Umu(SGrid);
+  FermionField s_src(SFGrid);
+  FermionField s_src_split(SFGrid);
+  FermionField s_tmp(SFGrid);
+  FermionField s_res(SFGrid);
+
+  {
+    FGrid->Barrier();
+    ScidacWriter _ScidacWriter;
+    _ScidacWriter.open(file);
+    std::cout << GridLogMessage << "****************************************************************** "<<std::endl;
+    std::cout << GridLogMessage << " Writing out gauge field "<<std::endl;
+    std::cout << GridLogMessage << "****************************************************************** "<<std::endl;
+    _ScidacWriter.writeScidacFieldRecord(Umu,record);
+    _ScidacWriter.close();
+    FGrid->Barrier();
+    std::cout << GridLogMessage << "****************************************************************** "<<std::endl;
+    std::cout << GridLogMessage << " Reading in gauge field "<<std::endl;
+    std::cout << GridLogMessage << "****************************************************************** "<<std::endl;
+    ScidacReader  _ScidacReader;
+    _ScidacReader.open(file);
+    _ScidacReader.readScidacFieldRecord(s_Umu,record);
+    _ScidacReader.close();
+    FGrid->Barrier();
+    std::cout << GridLogMessage << "****************************************************************** "<<std::endl;
+    std::cout << GridLogMessage << " Read in gauge field "<<std::endl;
+    std::cout << GridLogMessage << "****************************************************************** "<<std::endl;
+  }
+
+
+  {
+    for(int n=0;n<nrhs;n++){
+
+      std::cout << GridLogMessage << "****************************************************************** "<<std::endl;
+      std::cout << GridLogMessage << " Writing out record "<<n<<std::endl;
+      std::cout << GridLogMessage << "****************************************************************** "<<std::endl;
+
+      std::stringstream filefn;      filefn << filef << "."<< n;
+      ScidacWriter _ScidacWriter;
+      _ScidacWriter.open(filefn.str());
+      _ScidacWriter.writeScidacFieldRecord(src[n],record);
+      _ScidacWriter.close();
+    }
+      
+    FGrid->Barrier();
+
+    std::cout << GridLogMessage << "****************************************************************** "<<std::endl;
+    std::cout << GridLogMessage << " Reading back in the single process view "<<std::endl;
+    std::cout << GridLogMessage << "****************************************************************** "<<std::endl;
+      
+    for(int n=0;n<nrhs;n++){
+      if ( n==me ) { 
+	std::stringstream filefn;	filefn << filef << "."<< n;
+	ScidacReader  _ScidacReader;
+	_ScidacReader.open(filefn.str());
+	_ScidacReader.readScidacFieldRecord(s_src,record);
+	_ScidacReader.close();
+      }
+    }
+    FGrid->Barrier();
+  }
+
+  ///////////////////////////////////////////////////////////////
+  // split the source out using MPI instead of I/O
+  ///////////////////////////////////////////////////////////////
+  std::cout << GridLogMessage << " Splitting the grid data "<<std::endl;
+  Grid_split  (src,s_src_split);
+  std::cout << GridLogMessage << " Finished splitting the grid data "<<std::endl;
+  for(int n=0;n<nrhs;n++){
+    std::cout <<GridLogMessage<<"Full "<< n <<" "<< norm2(src[n])<<std::endl;
+  }
+  s_tmp = s_src_split - s_src;
+  for(int n=0;n<nrhs;n++){
+    FGrid->Barrier();
+    if ( n==me ) {
+      std::cerr << GridLogMessage<<"Split "<< me << " " << norm2(s_src_split) << " " << norm2(s_src)<< " diff " << norm2(s_tmp)<<std::endl;
+    }
+    FGrid->Barrier();
+  }
+
+
+  ///////////////////////////////////////////////////////////////
+  // Set up N-solvers as trivially parallel
+  ///////////////////////////////////////////////////////////////
+
+  RealD mass=0.01;
+  RealD M5=1.8;
+  DomainWallFermionR Dchk(Umu,*FGrid,*FrbGrid,*UGrid,*rbGrid,mass,M5);
+  DomainWallFermionR Ddwf(s_Umu,*SFGrid,*SFrbGrid,*SGrid,*SrbGrid,mass,M5);
+
+  std::cout << GridLogMessage << "****************************************************************** "<<std::endl;
+  std::cout << GridLogMessage << " Calling DWF CG "<<std::endl;
+  std::cout << GridLogMessage << "****************************************************************** "<<std::endl;
+
+  MdagMLinearOperator<DomainWallFermionR,FermionField> HermOp(Ddwf);
+  MdagMLinearOperator<DomainWallFermionR,FermionField> HermOpCk(Dchk);
+  ConjugateGradient<FermionField> CG((1.0e-8/(me+1)),10000);
+  s_res = zero;
+  CG(HermOp,s_src,s_res);
+
+  /////////////////////////////////////////////////////////////
+  // Report how long they all took
+  /////////////////////////////////////////////////////////////
+  std::vector<uint32_t> iterations(nrhs,0);
+  iterations[me] = CG.IterationsToComplete;
+
+  for(int n=0;n<nrhs;n++){
+    UGrid->GlobalSum(iterations[n]);
+    std::cout << GridLogMessage<<" Rank "<<n<<" "<< iterations[n]<<" CG iterations"<<std::endl;
+  }
+
+  /////////////////////////////////////////////////////////////
+  // Gather and residual check on the results
+  /////////////////////////////////////////////////////////////
+  std::cout << GridLogMessage<< "Unsplitting the result"<<std::endl;
+  Grid_unsplit(result,s_res);
+  /*
+  Grid_unsplit(src_chk,s_src);
+  for(int n=0;n<nrhs;n++){
+    tmp = src[n]-src_chk[n];
+    std::cout << " src_chk "<<n<<" "<<norm2(src_chk[n])<<" " <<norm2(src[n])<<" " <<norm2(tmp)<< std::endl;
+    std::cout << " diff " <<tmp<<std::endl;
+  }
+  */
+
+  std::cout << GridLogMessage<< "Checking the residuals"<<std::endl;
+  for(int n=0;n<nrhs;n++){
+    HermOpCk.HermOp(result[n],tmp); tmp = tmp - src[n];
+    std::cout << GridLogMessage<<" resid["<<n<<"]  "<< norm2(tmp)<<std::endl;
+  }
+
+  Grid_finalize();
+}

tests/solver/Test_dwf_mrhs_cg_mpi.cc

@@ -0,0 +1,144 @@
+    /*************************************************************************************
+
+    Grid physics library, www.github.com/paboyle/Grid 
+
+    Source file: ./tests/Test_dwf_mrhs_cg.cc
+
+    Copyright (C) 2015
+
+Author: Peter Boyle <paboyle@ph.ed.ac.uk>
+
+    This program is free software; you can redistribute it and/or modify
+    it under the terms of the GNU General Public License as published by
+    the Free Software Foundation; either version 2 of the License, or
+    (at your option) any later version.
+
+    This program is distributed in the hope that it will be useful,
+    but WITHOUT ANY WARRANTY; without even the implied warranty of
+    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+    GNU General Public License for more details.
+
+    You should have received a copy of the GNU General Public License along
+    with this program; if not, write to the Free Software Foundation, Inc.,
+    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
+
+    See the full license in the file "LICENSE" in the top level distribution directory
+    *************************************************************************************/
+    /*  END LEGAL */
+#include <Grid/Grid.h>
+#include <Grid/algorithms/iterative/BlockConjugateGradient.h>
+
+using namespace std;
+using namespace Grid;
+using namespace Grid::QCD;
+
+int main (int argc, char ** argv)
+{
+  typedef typename DomainWallFermionR::FermionField FermionField; 
+  typedef typename DomainWallFermionR::ComplexField ComplexField; 
+  typename DomainWallFermionR::ImplParams params; 
+
+  const int Ls=4;
+
+  Grid_init(&argc,&argv);
+
+  std::vector<int> latt_size   = GridDefaultLatt();
+  std::vector<int> simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
+  std::vector<int> mpi_layout  = GridDefaultMpi();
+  std::vector<int> mpi_split (mpi_layout.size(),1);
+
+  GridCartesian         * UGrid   = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplex::Nsimd()),GridDefaultMpi());
+  GridCartesian         * FGrid   = SpaceTimeGrid::makeFiveDimGrid(Ls,UGrid);
+  GridRedBlackCartesian * rbGrid  = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
+  GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGrid);
+
+  int nrhs = UGrid->RankCount() ;
+
+  /////////////////////////////////////////////
+  // Split into 1^4 mpi communicators
+  /////////////////////////////////////////////
+  GridCartesian         * SGrid = new GridCartesian(GridDefaultLatt(),
+						    GridDefaultSimd(Nd,vComplex::Nsimd()),
+						    mpi_split,
+						    *UGrid); 
+
+  GridCartesian         * SFGrid   = SpaceTimeGrid::makeFiveDimGrid(Ls,SGrid);
+  GridRedBlackCartesian * SrbGrid  = SpaceTimeGrid::makeFourDimRedBlackGrid(SGrid);
+  GridRedBlackCartesian * SFrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,SGrid);
+
+  ///////////////////////////////////////////////
+  // Set up the problem as a 4d spreadout job
+  ///////////////////////////////////////////////
+  std::vector<int> seeds({1,2,3,4});
+
+  GridParallelRNG pRNG(UGrid );  pRNG.SeedFixedIntegers(seeds);
+  GridParallelRNG pRNG5(FGrid);  pRNG5.SeedFixedIntegers(seeds);
+  std::vector<FermionField>    src(nrhs,FGrid);
+  std::vector<FermionField> src_chk(nrhs,FGrid);
+  std::vector<FermionField> result(nrhs,FGrid);
+  FermionField tmp(FGrid);
+
+  for(int s=0;s<nrhs;s++) random(pRNG5,src[s]);
+  for(int s=0;s<nrhs;s++) result[s]=zero;
+
+  LatticeGaugeField Umu(UGrid); SU3::HotConfiguration(pRNG,Umu);
+
+  /////////////////
+  // MPI only sends
+  /////////////////
+  int me = UGrid->ThisRank();
+
+  LatticeGaugeField s_Umu(SGrid);
+  FermionField s_src(SFGrid);
+  FermionField s_tmp(SFGrid);
+  FermionField s_res(SFGrid);
+
+  ///////////////////////////////////////////////////////////////
+  // split the source out using MPI instead of I/O
+  ///////////////////////////////////////////////////////////////
+  Grid_split  (Umu,s_Umu);
+  Grid_split  (src,s_src);
+
+  ///////////////////////////////////////////////////////////////
+  // Set up N-solvers as trivially parallel
+  ///////////////////////////////////////////////////////////////
+  RealD mass=0.01;
+  RealD M5=1.8;
+  DomainWallFermionR Dchk(Umu,*FGrid,*FrbGrid,*UGrid,*rbGrid,mass,M5);
+  DomainWallFermionR Ddwf(s_Umu,*SFGrid,*SFrbGrid,*SGrid,*SrbGrid,mass,M5);
+
+  std::cout << GridLogMessage << "****************************************************************** "<<std::endl;
+  std::cout << GridLogMessage << " Calling DWF CG "<<std::endl;
+  std::cout << GridLogMessage << "****************************************************************** "<<std::endl;
+
+  MdagMLinearOperator<DomainWallFermionR,FermionField> HermOp(Ddwf);
+  MdagMLinearOperator<DomainWallFermionR,FermionField> HermOpCk(Dchk);
+  ConjugateGradient<FermionField> CG((1.0e-8/(me+1)),10000);
+  s_res = zero;
+  CG(HermOp,s_src,s_res);
+
+  /////////////////////////////////////////////////////////////
+  // Report how long they all took
+  /////////////////////////////////////////////////////////////
+  std::vector<uint32_t> iterations(nrhs,0);
+  iterations[me] = CG.IterationsToComplete;
+
+  for(int n=0;n<nrhs;n++){
+    UGrid->GlobalSum(iterations[n]);
+    std::cout << GridLogMessage<<" Rank "<<n<<" "<< iterations[n]<<" CG iterations"<<std::endl;
+  }
+
+  /////////////////////////////////////////////////////////////
+  // Gather and residual check on the results
+  /////////////////////////////////////////////////////////////
+  std::cout << GridLogMessage<< "Unsplitting the result"<<std::endl;
+  Grid_unsplit(result,s_res);
+
+  std::cout << GridLogMessage<< "Checking the residuals"<<std::endl;
+  for(int n=0;n<nrhs;n++){
+    HermOpCk.HermOp(result[n],tmp); tmp = tmp - src[n];
+    std::cout << GridLogMessage<<" resid["<<n<<"]  "<< norm2(tmp)<<std::endl;
+  }
+
+  Grid_finalize();
+}

tests/solver/Test_dwf_mrhs_cg_mpieo.cc

@@ -0,0 +1,163 @@
+    /*************************************************************************************
+
+    Grid physics library, www.github.com/paboyle/Grid 
+
+    Source file: ./tests/Test_dwf_mrhs_cg.cc
+
+    Copyright (C) 2015
+
+Author: Peter Boyle <paboyle@ph.ed.ac.uk>
+
+    This program is free software; you can redistribute it and/or modify
+    it under the terms of the GNU General Public License as published by
+    the Free Software Foundation; either version 2 of the License, or
+    (at your option) any later version.
+
+    This program is distributed in the hope that it will be useful,
+    but WITHOUT ANY WARRANTY; without even the implied warranty of
+    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+    GNU General Public License for more details.
+
+    You should have received a copy of the GNU General Public License along
+    with this program; if not, write to the Free Software Foundation, Inc.,
+    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
+
+    See the full license in the file "LICENSE" in the top level distribution directory
+    *************************************************************************************/
+    /*  END LEGAL */
+#include <Grid/Grid.h>
+#include <Grid/algorithms/iterative/BlockConjugateGradient.h>
+
+using namespace std;
+using namespace Grid;
+using namespace Grid::QCD;
+
+int main (int argc, char ** argv)
+{
+  typedef typename DomainWallFermionR::FermionField FermionField; 
+  typedef typename DomainWallFermionR::ComplexField ComplexField; 
+  typename DomainWallFermionR::ImplParams params; 
+
+  const int Ls=4;
+
+  Grid_init(&argc,&argv);
+
+  std::vector<int> latt_size   = GridDefaultLatt();
+  std::vector<int> simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
+  std::vector<int> mpi_layout  = GridDefaultMpi();
+  std::vector<int> mpi_split (mpi_layout.size(),1);
+
+  GridCartesian         * UGrid   = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplex::Nsimd()),GridDefaultMpi());
+  GridCartesian         * FGrid   = SpaceTimeGrid::makeFiveDimGrid(Ls,UGrid);
+  GridRedBlackCartesian * rbGrid  = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
+  GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGrid);
+
+  int nrhs = UGrid->RankCount() ;
+
+  /////////////////////////////////////////////
+  // Split into 1^4 mpi communicators
+  /////////////////////////////////////////////
+  GridCartesian         * SGrid = new GridCartesian(GridDefaultLatt(),
+						    GridDefaultSimd(Nd,vComplex::Nsimd()),
+						    mpi_split,
+						    *UGrid); 
+
+  GridCartesian         * SFGrid   = SpaceTimeGrid::makeFiveDimGrid(Ls,SGrid);
+  GridRedBlackCartesian * SrbGrid  = SpaceTimeGrid::makeFourDimRedBlackGrid(SGrid);
+  GridRedBlackCartesian * SFrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,SGrid);
+
+  ///////////////////////////////////////////////
+  // Set up the problem as a 4d spreadout job
+  ///////////////////////////////////////////////
+  std::vector<int> seeds({1,2,3,4});
+
+  GridParallelRNG pRNG(UGrid );  pRNG.SeedFixedIntegers(seeds);
+  GridParallelRNG pRNG5(FGrid);  pRNG5.SeedFixedIntegers(seeds);
+  std::vector<FermionField>    src(nrhs,FGrid);
+  std::vector<FermionField> src_chk(nrhs,FGrid);
+  std::vector<FermionField> result(nrhs,FGrid);
+  FermionField tmp(FGrid);
+
+  std::vector<FermionField> src_e(nrhs,FrbGrid);
+  std::vector<FermionField> src_o(nrhs,FrbGrid);
+
+  for(int s=0;s<nrhs;s++) random(pRNG5,src[s]);
+  for(int s=0;s<nrhs;s++) result[s]=zero;
+
+  LatticeGaugeField Umu(UGrid); SU3::HotConfiguration(pRNG,Umu);
+
+  /////////////////
+  // MPI only sends
+  /////////////////
+  int me = UGrid->ThisRank();
+
+  LatticeGaugeField s_Umu(SGrid);
+  FermionField s_src(SFGrid);
+  FermionField s_src_e(SFrbGrid);
+  FermionField s_src_o(SFrbGrid);
+  FermionField s_tmp(SFGrid);
+  FermionField s_res(SFGrid);
+
+  ///////////////////////////////////////////////////////////////
+  // split the source out using MPI instead of I/O
+  ///////////////////////////////////////////////////////////////
+  Grid_split  (Umu,s_Umu);
+  Grid_split  (src,s_src);
+
+  ///////////////////////////////////////////////////////////////
+  // Check even odd cases
+  ///////////////////////////////////////////////////////////////
+  for(int s=0;s<nrhs;s++){
+    pickCheckerboard(Odd , src_o[s], src[s]);
+    pickCheckerboard(Even, src_e[s], src[s]);
+  }
+  Grid_split  (src_e,s_src_e);
+  Grid_split  (src_o,s_src_o);
+  setCheckerboard(s_tmp, s_src_o);
+  setCheckerboard(s_tmp, s_src_e);
+  s_tmp = s_tmp - s_src;
+  std::cout << GridLogMessage<<" EvenOdd Difference " <<norm2(s_tmp)<<std::endl;
+
+  ///////////////////////////////////////////////////////////////
+  // Set up N-solvers as trivially parallel
+  ///////////////////////////////////////////////////////////////
+  RealD mass=0.01;
+  RealD M5=1.8;
+  DomainWallFermionR Dchk(Umu,*FGrid,*FrbGrid,*UGrid,*rbGrid,mass,M5);
+  DomainWallFermionR Ddwf(s_Umu,*SFGrid,*SFrbGrid,*SGrid,*SrbGrid,mass,M5);
+
+  std::cout << GridLogMessage << "****************************************************************** "<<std::endl;
+  std::cout << GridLogMessage << " Calling DWF CG "<<std::endl;
+  std::cout << GridLogMessage << "****************************************************************** "<<std::endl;
+
+  MdagMLinearOperator<DomainWallFermionR,FermionField> HermOp(Ddwf);
+  MdagMLinearOperator<DomainWallFermionR,FermionField> HermOpCk(Dchk);
+  ConjugateGradient<FermionField> CG((1.0e-8/(me+1)),10000);
+  s_res = zero;
+  CG(HermOp,s_src,s_res);
+
+  /////////////////////////////////////////////////////////////
+  // Report how long they all took
+  /////////////////////////////////////////////////////////////
+  std::vector<uint32_t> iterations(nrhs,0);
+  iterations[me] = CG.IterationsToComplete;
+
+  for(int n=0;n<nrhs;n++){
+    UGrid->GlobalSum(iterations[n]);
+    std::cout << GridLogMessage<<" Rank "<<n<<" "<< iterations[n]<<" CG iterations"<<std::endl;
+  }
+
+  /////////////////////////////////////////////////////////////
+  // Gather and residual check on the results
+  /////////////////////////////////////////////////////////////
+  std::cout << GridLogMessage<< "Unsplitting the result"<<std::endl;
+  Grid_unsplit(result,s_res);
+
+  std::cout << GridLogMessage<< "Checking the residuals"<<std::endl;
+  for(int n=0;n<nrhs;n++){
+    HermOpCk.HermOp(result[n],tmp); tmp = tmp - src[n];
+    std::cout << GridLogMessage<<" resid["<<n<<"]  "<< norm2(tmp)<<std::endl;
+  }
+
+  Grid_finalize();
+}

tests/solver/Test_laplacian.cc

@@ -40,7 +40,7 @@ int main (int argc, char ** argv)
   std::vector<int> simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
   std::vector<int> mpi_layout  = GridDefaultMpi();
   GridCartesian               Grid(latt_size,simd_layout,mpi_layout);
-  GridRedBlackCartesian     RBGrid(latt_size,simd_layout,mpi_layout);
+  GridRedBlackCartesian     RBGrid(&Grid);
 
   std::vector<int> seeds({1,2,3,4,5});
   GridParallelRNG          pRNG(&Grid);  pRNG.SeedFixedIntegers(seeds);

tests/solver/Test_staggered_block_cg_prec.cc

@@ -0,0 +1,130 @@
+    /*************************************************************************************
+
+    Grid physics library, www.github.com/paboyle/Grid 
+
+    Source file: ./tests/Test_wilson_cg_unprec.cc
+
+    Copyright (C) 2015
+
+Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
+Author: Peter Boyle <paboyle@ph.ed.ac.uk>
+
+    This program is free software; you can redistribute it and/or modify
+    it under the terms of the GNU General Public License as published by
+    the Free Software Foundation; either version 2 of the License, or
+    (at your option) any later version.
+
+    This program is distributed in the hope that it will be useful,
+    but WITHOUT ANY WARRANTY; without even the implied warranty of
+    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+    GNU General Public License for more details.
+
+    You should have received a copy of the GNU General Public License along
+    with this program; if not, write to the Free Software Foundation, Inc.,
+    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
+
+    See the full license in the file "LICENSE" in the top level distribution directory
+    *************************************************************************************/
+    /*  END LEGAL */
+#include <Grid/Grid.h>
+
+using namespace std;
+using namespace Grid;
+using namespace Grid::QCD;
+
+template<class d>
+struct scal {
+  d internal;
+};
+
+  Gamma::Algebra Gmu [] = {
+    Gamma::Algebra::GammaX,
+    Gamma::Algebra::GammaY,
+    Gamma::Algebra::GammaZ,
+    Gamma::Algebra::GammaT
+  };
+
+int main (int argc, char ** argv)
+{
+  typedef typename ImprovedStaggeredFermion5DR::FermionField FermionField; 
+  typedef typename ImprovedStaggeredFermion5DR::ComplexField ComplexField; 
+  typename ImprovedStaggeredFermion5DR::ImplParams params; 
+
+  const int Ls=8;
+
+  Grid_init(&argc,&argv);
+
+  std::vector<int> latt_size   = GridDefaultLatt();
+  std::vector<int> simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
+  std::vector<int> mpi_layout  = GridDefaultMpi();
+
+  GridCartesian         * UGrid   = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplex::Nsimd()),GridDefaultMpi());
+  GridRedBlackCartesian * UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
+  GridCartesian         * FGrid   = SpaceTimeGrid::makeFiveDimGrid(Ls,UGrid);
+  GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGrid);
+
+  std::vector<int> seeds({1,2,3,4});
+  GridParallelRNG pRNG(UGrid );  pRNG.SeedFixedIntegers(seeds);
+  GridParallelRNG pRNG5(FGrid);  pRNG5.SeedFixedIntegers(seeds);
+
+  FermionField src(FGrid); random(pRNG5,src);
+  FermionField src_o(FrbGrid);   pickCheckerboard(Odd,src_o,src);
+  FermionField result_o(FrbGrid); result_o=zero; 
+  RealD nrm = norm2(src);
+
+  LatticeGaugeField Umu(UGrid); SU3::HotConfiguration(pRNG,Umu);
+
+  RealD mass=0.003;
+  ImprovedStaggeredFermion5DR Ds(Umu,Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass); 
+  SchurStaggeredOperator<ImprovedStaggeredFermion5DR,FermionField> HermOp(Ds);
+
+  ConjugateGradient<FermionField> CG(1.0e-8,10000);
+  int blockDim = 0;
+  BlockConjugateGradient<FermionField>    BCGrQ(BlockCGrQ,blockDim,1.0e-8,10000);
+  BlockConjugateGradient<FermionField>    BCG  (BlockCG,blockDim,1.0e-8,10000);
+  BlockConjugateGradient<FermionField>    mCG  (CGmultiRHS,blockDim,1.0e-8,10000);
+
+  std::cout << GridLogMessage << "****************************************************************** "<<std::endl;
+  std::cout << GridLogMessage << " Calling 4d CG "<<std::endl;
+  std::cout << GridLogMessage << "****************************************************************** "<<std::endl;
+  ImprovedStaggeredFermionR Ds4d(Umu,Umu,*UGrid,*UrbGrid,mass);
+  SchurStaggeredOperator<ImprovedStaggeredFermionR,FermionField> HermOp4d(Ds4d);
+  FermionField src4d(UGrid); random(pRNG,src4d);
+  FermionField src4d_o(UrbGrid);   pickCheckerboard(Odd,src4d_o,src4d);
+  FermionField result4d_o(UrbGrid); 
+
+  result4d_o=zero;
+  CG(HermOp4d,src4d_o,result4d_o);
+  std::cout << GridLogMessage << "************************************************************************ "<<std::endl;
+
+
+  std::cout << GridLogMessage << "************************************************************************ "<<std::endl;
+  std::cout << GridLogMessage << " Calling 5d CG for "<<Ls <<" right hand sides" <<std::endl;
+  std::cout << GridLogMessage << "************************************************************************ "<<std::endl;
+  Ds.ZeroCounters();
+  result_o=zero;
+  CG(HermOp,src_o,result_o);
+  Ds.Report();
+  std::cout << GridLogMessage << "************************************************************************ "<<std::endl;
+
+  std::cout << GridLogMessage << "************************************************************************ "<<std::endl;
+  std::cout << GridLogMessage << " Calling multiRHS CG for "<<Ls <<" right hand sides" <<std::endl;
+  std::cout << GridLogMessage << "************************************************************************ "<<std::endl;
+  Ds.ZeroCounters();
+  result_o=zero;
+  mCG(HermOp,src_o,result_o);
+  Ds.Report();
+  std::cout << GridLogMessage << "************************************************************************ "<<std::endl;
+
+  std::cout << GridLogMessage << "************************************************************************ "<<std::endl;
+  std::cout << GridLogMessage << " Calling Block CG for "<<Ls <<" right hand sides" <<std::endl;
+  std::cout << GridLogMessage << "************************************************************************ "<<std::endl;
+  Ds.ZeroCounters();
+  result_o=zero;
+  BCGrQ(HermOp,src_o,result_o);
+  Ds.Report();
+  std::cout << GridLogMessage << "************************************************************************ "<<std::endl;
+
+
+  Grid_finalize();
+}

tests/solver/Test_staggered_block_cg_unprec.cc

@@ -27,7 +27,6 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
     *************************************************************************************/
     /*  END LEGAL */
 #include <Grid/Grid.h>
-#include <Grid/algorithms/iterative/BlockConjugateGradient.h>
 
 using namespace std;
 using namespace Grid;

tests/solver/Test_staggered_cg_prec.cc

@@ -57,7 +57,7 @@ int main (int argc, char ** argv)
   std::vector<int> simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
   std::vector<int> mpi_layout  = GridDefaultMpi();
   GridCartesian               Grid(latt_size,simd_layout,mpi_layout);
-  GridRedBlackCartesian     RBGrid(latt_size,simd_layout,mpi_layout);
+  GridRedBlackCartesian     RBGrid(&Grid);
 
   std::vector<int> seeds({1,2,3,4});
   GridParallelRNG          pRNG(&Grid);  pRNG.SeedFixedIntegers(seeds);
@@ -71,7 +71,7 @@ int main (int argc, char ** argv)
     volume=volume*latt_size[mu];
   }  
   
-  RealD mass=0.1;
+  RealD mass=0.003;
   ImprovedStaggeredFermionR Ds(Umu,Umu,Grid,RBGrid,mass);
 
   FermionField res_o(&RBGrid); 
@@ -79,9 +79,14 @@ int main (int argc, char ** argv)
   pickCheckerboard(Odd,src_o,src);
   res_o=zero;
 
-  SchurDiagMooeeOperator<ImprovedStaggeredFermionR,FermionField> HermOpEO(Ds);
+  SchurStaggeredOperator<ImprovedStaggeredFermionR,FermionField> HermOpEO(Ds);
   ConjugateGradient<FermionField> CG(1.0e-8,10000);
   CG(HermOpEO,src_o,res_o);
 
+  FermionField tmp(&RBGrid);
+
+  HermOpEO.Mpc(res_o,tmp);
+  std::cout << "check Mpc resid " << axpy_norm(tmp,-1.0,src_o,tmp)/norm2(src_o) << "\n";
+
   Grid_finalize();
 }

tests/solver/Test_staggered_cg_unprec.cc

@@ -57,7 +57,7 @@ int main (int argc, char ** argv)
   std::vector<int> simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
   std::vector<int> mpi_layout  = GridDefaultMpi();
   GridCartesian               Grid(latt_size,simd_layout,mpi_layout);
-  GridRedBlackCartesian     RBGrid(latt_size,simd_layout,mpi_layout);
+  GridRedBlackCartesian     RBGrid(&Grid);
 
   std::vector<int> seeds({1,2,3,4});
   GridParallelRNG          pRNG(&Grid);  pRNG.SeedFixedIntegers(seeds);

tests/solver/Test_wilson_cg_prec.cc

@@ -52,7 +52,7 @@ int main (int argc, char ** argv)
   std::vector<int> simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
   std::vector<int> mpi_layout  = GridDefaultMpi();
   GridCartesian               Grid(latt_size,simd_layout,mpi_layout);
-  GridRedBlackCartesian     RBGrid(latt_size,simd_layout,mpi_layout);
+  GridRedBlackCartesian     RBGrid(&Grid);
 
   std::vector<int> seeds({1,2,3,4});
   GridParallelRNG          pRNG(&Grid);  pRNG.SeedFixedIntegers(seeds);

tests/solver/Test_wilson_cg_schur.cc

@@ -52,7 +52,7 @@ int main (int argc, char ** argv)
   std::vector<int> simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
   std::vector<int> mpi_layout  = GridDefaultMpi();
   GridCartesian               Grid(latt_size,simd_layout,mpi_layout);
-  GridRedBlackCartesian     RBGrid(latt_size,simd_layout,mpi_layout);
+  GridRedBlackCartesian     RBGrid(&Grid);
 
   std::vector<int> seeds({1,2,3,4});
   GridParallelRNG          pRNG(&Grid);  pRNG.SeedFixedIntegers(seeds);

tests/solver/Test_wilson_cg_unprec.cc

@@ -52,7 +52,7 @@ int main (int argc, char ** argv)
   std::vector<int> simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
   std::vector<int> mpi_layout  = GridDefaultMpi();
   GridCartesian               Grid(latt_size,simd_layout,mpi_layout);
-  GridRedBlackCartesian     RBGrid(latt_size,simd_layout,mpi_layout);
+  GridRedBlackCartesian     RBGrid(&Grid);
 
   std::vector<int> seeds({1,2,3,4});
   GridParallelRNG          pRNG(&Grid);  pRNG.SeedFixedIntegers(seeds);

tests/solver/Test_wilson_cr_unprec.cc

@@ -52,7 +52,7 @@ int main (int argc, char ** argv)
   std::vector<int> simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
   std::vector<int> mpi_layout  = GridDefaultMpi();
   GridCartesian               Grid(latt_size,simd_layout,mpi_layout);
-  GridRedBlackCartesian     RBGrid(latt_size,simd_layout,mpi_layout);
+  GridRedBlackCartesian     RBGrid(&Grid);
 
   std::vector<int> seeds({1,2,3,4});
   GridParallelRNG          pRNG(&Grid);  pRNG.SeedFixedIntegers(seeds);