Merge pull request #129 from djm2131/feature/eofa

Add support for DWF with the exact one flavor algorithm

lib/algorithms/Algorithms.h

@@ -1,6 +1,6 @@
     /*************************************************************************************
 
-    Grid physics library, www.github.com/paboyle/Grid 
+    Grid physics library, www.github.com/paboyle/Grid
 
     Source file: ./lib/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>

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/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.h

@@ -1,6 +1,6 @@
     /*************************************************************************************
 
-    Grid physics library, www.github.com/paboyle/Grid 
+    Grid physics library, www.github.com/paboyle/Grid
 
     Source file: ./lib/qcd/action/fermion/CayleyFermion5D.h
 
@@ -35,24 +35,24 @@ namespace Grid {
 
   namespace QCD {
 
-     template<typename T> struct switcheroo   {  
+     template<typename T> struct switcheroo   {
-       static inline int iscomplex()  { return 0; } 
+       static inline int iscomplex()  { return 0; }
 
        template<class vec>
        static inline vec mult(vec a, vec b) {
 	 return real_mult(a,b);
        }
      };
-     template<> struct switcheroo<ComplexD> {  
+     template<> struct switcheroo<ComplexD> {
-       static inline int iscomplex()  { return 1; } 
+       static inline int iscomplex()  { return 1; }
 
        template<class vec>
        static inline vec mult(vec a, vec b) {
 	 return a*b;
        }
      };
-     template<> struct switcheroo<ComplexF> {  
+     template<> struct switcheroo<ComplexF> {
-       static inline int iscomplex()  { return 1; } 
+       static inline int iscomplex()  { return 1; }
        template<class vec>
        static inline vec mult(vec a, vec b) {
 	 return a*b;
@@ -90,14 +90,14 @@ namespace Grid {
       // Instantiate different versions depending on Impl
       /////////////////////////////////////////////////////
       void M5D(const FermionField &psi,
-	       const FermionField &phi, 
+	       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, 
+		  const FermionField &phi,
 		  FermionField &chi,
 		  std::vector<Coeff_t> &lower,
 		  std::vector<Coeff_t> &diag,
@@ -125,7 +125,7 @@ namespace Grid {
 
       // Efficient support for multigrid coarsening
       virtual void  Mdir (const FermionField &in, FermionField &out,int dir,int disp);
-      
+
       void   Meooe5D       (const FermionField &in, FermionField &out);
       void   MeooeDag5D    (const FermionField &in, FermionField &out);
 
@@ -133,23 +133,23 @@ namespace Grid {
       RealD mass;
 
       // Cayley form Moebius (tanh and zolotarev)
-      std::vector<Coeff_t> omega; 
+      std::vector<Coeff_t> omega;
       std::vector<Coeff_t> bs;    // S dependent coeffs
-      std::vector<Coeff_t> cs;    
+      std::vector<Coeff_t> cs;
-      std::vector<Coeff_t> as;    
+      std::vector<Coeff_t> as;
       // For preconditioning Cayley form
-      std::vector<Coeff_t> bee;    
+      std::vector<Coeff_t> bee;
-      std::vector<Coeff_t> cee;    
+      std::vector<Coeff_t> cee;
-      std::vector<Coeff_t> aee;    
+      std::vector<Coeff_t> aee;
-      std::vector<Coeff_t> beo;    
+      std::vector<Coeff_t> beo;
-      std::vector<Coeff_t> ceo;    
+      std::vector<Coeff_t> ceo;
-      std::vector<Coeff_t> aeo;    
+      std::vector<Coeff_t> aeo;
       // LDU factorisation of the eeoo matrix
-      std::vector<Coeff_t> lee;    
+      std::vector<Coeff_t> lee;
-      std::vector<Coeff_t> leem;    
+      std::vector<Coeff_t> leem;
-      std::vector<Coeff_t> uee;    
+      std::vector<Coeff_t> uee;
-      std::vector<Coeff_t> ueem;    
+      std::vector<Coeff_t> ueem;
-      std::vector<Coeff_t> dee;    
+      std::vector<Coeff_t> dee;
 
       // Matrices of 5d ee inverse params
       Vector<iSinglet<Simd> >  MatpInv;
@@ -165,7 +165,7 @@ namespace Grid {
 		      GridRedBlackCartesian &FourDimRedBlackGrid,
 		      RealD _mass,RealD _M5,const ImplParams &p= ImplParams());
 
-      
+
 
      void CayleyReport(void);
      void CayleyZeroCounters(void);
@@ -179,9 +179,9 @@ namespace Grid {
      double MooeeInvTime;
 
     protected:
-      void SetCoefficientsZolotarev(RealD zolohi,Approx::zolotarev_data *zdata,RealD b,RealD c);
+      virtual void SetCoefficientsZolotarev(RealD zolohi,Approx::zolotarev_data *zdata,RealD b,RealD c);
-      void SetCoefficientsTanh(Approx::zolotarev_data *zdata,RealD b,RealD c);
+      virtual 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 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

@@ -1,6 +1,6 @@
 /*************************************************************************************
 
-    Grid physics library, www.github.com/paboyle/Grid 
+    Grid physics library, www.github.com/paboyle/Grid
 
     Source file: ./lib/qcd/action/fermion/Fermion_base_aggregate.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;
@@ -129,7 +148,7 @@ typedef ZMobiusFermion<ZWilsonImplRL> ZMobiusFermionRL;
 typedef ZMobiusFermion<ZWilsonImplFH> ZMobiusFermionFH;
 typedef ZMobiusFermion<ZWilsonImplDF> ZMobiusFermionDF;
 
-// Ls vectorised 
+// Ls vectorised
 typedef DomainWallFermion<DomainWallVec5dImplR> DomainWallFermionVec5dR;
 typedef DomainWallFermion<DomainWallVec5dImplF> DomainWallFermionVec5dF;
 typedef DomainWallFermion<DomainWallVec5dImplD> DomainWallFermionVec5dD;
@@ -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

@@ -72,7 +72,7 @@ protected:
   }
 
   virtual unsigned int Ls(){
-    return 0;  
+    return 0;
   }
 
   virtual void print_parameters(){
@@ -97,7 +97,7 @@ class HMC_FermionOperatorModuleFactory
     : public Factory < FermionOperatorModuleBase<QCD::FermionOperator<FermionImpl> > ,  Reader<ReaderClass> > {
  public:
   // use SINGLETON FUNCTOR MACRO HERE
-  typedef Reader<ReaderClass> TheReader; 
+  typedef Reader<ReaderClass> TheReader;
 
   HMC_FermionOperatorModuleFactory(const HMC_FermionOperatorModuleFactory& e) = delete;
   void operator=(const HMC_FermionOperatorModuleFactory& e) = delete;
@@ -122,7 +122,7 @@ namespace QCD{
 // Modules
 class WilsonFermionParameters : Serializable {
  public:
-  GRID_SERIALIZABLE_CLASS_MEMBERS(WilsonFermionParameters, 
+  GRID_SERIALIZABLE_CLASS_MEMBERS(WilsonFermionParameters,
     RealD, mass);
 };
 
@@ -144,7 +144,7 @@ class WilsonFermionModule: public FermionOperatorModule<WilsonFermion, FermionIm
 
 class MobiusFermionParameters : Serializable {
  public:
-  GRID_SERIALIZABLE_CLASS_MEMBERS(MobiusFermionParameters, 
+  GRID_SERIALIZABLE_CLASS_MEMBERS(MobiusFermionParameters,
     RealD, mass,
     RealD, M5,
     RealD, b,
@@ -166,7 +166,7 @@ class MobiusFermionModule: public FermionOperatorModule<MobiusFermion, FermionIm
     auto GridMod = this->GridRefs[0];
     auto GridMod5d = this->GridRefs[1];
     typename FermionImpl::GaugeField U(GridMod->get_full());
-    this->FOPtr.reset(new MobiusFermion<FermionImpl>( U, *(GridMod->get_full()), *(GridMod->get_rb()), 
+    this->FOPtr.reset(new MobiusFermion<FermionImpl>( U, *(GridMod->get_full()), *(GridMod->get_rb()),
                                                       *(GridMod5d->get_full()), *(GridMod5d->get_rb()),
                                                       this->Par_.mass, this->Par_.M5, this->Par_.b, this->Par_.c));
   }
@@ -175,7 +175,7 @@ class MobiusFermionModule: public FermionOperatorModule<MobiusFermion, FermionIm
 
 class DomainWallFermionParameters : Serializable {
  public:
-  GRID_SERIALIZABLE_CLASS_MEMBERS(DomainWallFermionParameters, 
+  GRID_SERIALIZABLE_CLASS_MEMBERS(DomainWallFermionParameters,
     RealD, mass,
     RealD, M5,
     unsigned int, Ls);
@@ -195,16 +195,49 @@ class DomainWallFermionModule: public FermionOperatorModule<DomainWallFermion, F
     auto GridMod = this->GridRefs[0];
     auto GridMod5d = this->GridRefs[1];
     typename FermionImpl::GaugeField U(GridMod->get_full());
-    this->FOPtr.reset(new DomainWallFermion<FermionImpl>( U, *(GridMod->get_full()), *(GridMod->get_rb()), 
+    this->FOPtr.reset(new DomainWallFermion<FermionImpl>( U, *(GridMod->get_full()), *(GridMod->get_rb()),
                                                       *(GridMod5d->get_full()), *(GridMod5d->get_rb()),
                                                       this->Par_.mass, this->Par_.M5));
   }
 };
 
 
+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
 
 
-#endif //FERMIONOPERATOR_MODULES_H
+#endif //FERMIONOPERATOR_MODULES_H

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_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/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_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();
+}