invert_test.cpp

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#include <stdlib.h>
#include <stdio.h>
#include <time.h>
#include <math.h>
#include <string.h>

#include <util_quda.h>
#include <test_util.h>
#include <dslash_util.h>
#include <blas_reference.h>
#include <wilson_dslash_reference.h>
#include <domain_wall_dslash_reference.h>
#include "misc.h"

#include "face_quda.h"

#if defined(QMP_COMMS)
#include <qmp.h>
#elif defined(MPI_COMMS)
#include <mpi.h>
#endif

#include <gauge_qio.h>

#define MAX(a,b) ((a)>(b)?(a):(b))

// In a typical application, quda.h is the only QUDA header required.
#include <quda.h>

// Wilson, clover-improved Wilson, twisted mass, and domain wall are supported.
extern QudaDslashType dslash_type;

// Twisted mass flavor type
extern QudaTwistFlavorType twist_flavor;

extern bool tune;
extern int device;
extern int xdim;
extern int ydim;
extern int zdim;
extern int tdim;
extern int Lsdim;
extern int gridsize_from_cmdline[];
extern QudaReconstructType link_recon;
extern QudaPrecision prec;
extern QudaReconstructType link_recon_sloppy;
extern QudaPrecision  prec_sloppy;
extern QudaInverterType  inv_type;
extern QudaInverterType  precon_type;
extern int multishift; // whether to test multi-shift or standard solver
extern double mass; // mass of Dirac operator
extern QudaMassNormalization normalization; // mass normalization of Dirac operators
extern QudaMatPCType matpc_type; // preconditioning type

extern char latfile[];

extern void usage(char** );

void
display_test_info()
{
  printfQuda("running the following test:\n");
    
  printfQuda("prec    prec_sloppy   multishift  matpc_type  recon  recon_sloppy S_dimension T_dimension Ls_dimension   dslash_type  normalization\n");
  printfQuda("%6s   %6s          %d     %12s     %2s     %2s         %3d/%3d/%3d     %3d         %2d       %14s  %8s\n",
             get_prec_str(prec),get_prec_str(prec_sloppy), multishift, get_matpc_str(matpc_type), 
             get_recon_str(link_recon), 
             get_recon_str(link_recon_sloppy),  
             xdim, ydim, zdim, tdim, Lsdim, 
             get_dslash_str(dslash_type), 
             get_mass_normalization_str(normalization));     

  printfQuda("Grid partition info:     X  Y  Z  T\n"); 
  printfQuda("                         %d  %d  %d  %d\n", 
             dimPartitioned(0),
             dimPartitioned(1),
             dimPartitioned(2),
             dimPartitioned(3)); 
  
  return ;
  
}

int main(int argc, char **argv)
{

  for (int i = 1; i < argc; i++){
    if(process_command_line_option(argc, argv, &i) == 0){
      continue;
    } 
    printfQuda("ERROR: Invalid option:%s\n", argv[i]);
    usage(argv);
  }

  if (prec_sloppy == QUDA_INVALID_PRECISION){
    prec_sloppy = prec;
  }
  if (link_recon_sloppy == QUDA_RECONSTRUCT_INVALID){
    link_recon_sloppy = link_recon;
  }

  // initialize QMP/MPI, QUDA comms grid and RNG (test_util.cpp)
  initComms(argc, argv, gridsize_from_cmdline);

  display_test_info();

  // *** QUDA parameters begin here.

  if (dslash_type != QUDA_WILSON_DSLASH &&
      dslash_type != QUDA_CLOVER_WILSON_DSLASH &&
      dslash_type != QUDA_TWISTED_MASS_DSLASH &&
      dslash_type != QUDA_DOMAIN_WALL_4D_DSLASH &&
      dslash_type != QUDA_MOBIUS_DWF_DSLASH &&
      dslash_type != QUDA_TWISTED_CLOVER_DSLASH &&
      dslash_type != QUDA_DOMAIN_WALL_DSLASH) {
    printfQuda("dslash_type %d not supported\n", dslash_type);
    exit(0);
  }

  QudaPrecision cpu_prec = QUDA_DOUBLE_PRECISION;
  QudaPrecision cuda_prec = prec;
  QudaPrecision cuda_prec_sloppy = prec_sloppy;
  QudaPrecision cuda_prec_precondition = QUDA_HALF_PRECISION;

  QudaGaugeParam gauge_param = newQudaGaugeParam();
  QudaInvertParam inv_param = newQudaInvertParam();
 
  double kappa5;

  gauge_param.X[0] = xdim;
  gauge_param.X[1] = ydim;
  gauge_param.X[2] = zdim;
  gauge_param.X[3] = tdim;
  inv_param.Ls = 1;

  gauge_param.anisotropy = 1.0;
  gauge_param.type = QUDA_WILSON_LINKS;
  gauge_param.gauge_order = QUDA_QDP_GAUGE_ORDER;
  gauge_param.t_boundary = QUDA_ANTI_PERIODIC_T;
  
  gauge_param.cpu_prec = cpu_prec;
  gauge_param.cuda_prec = cuda_prec;
  gauge_param.reconstruct = link_recon;
  gauge_param.cuda_prec_sloppy = cuda_prec_sloppy;
  gauge_param.reconstruct_sloppy = link_recon_sloppy;
  gauge_param.cuda_prec_precondition = cuda_prec_precondition;
  gauge_param.reconstruct_precondition = link_recon_sloppy;
  gauge_param.gauge_fix = QUDA_GAUGE_FIXED_NO;

  inv_param.dslash_type = dslash_type;

  inv_param.mass = mass;
  inv_param.kappa = 1.0 / (2.0 * (1 + 3/gauge_param.anisotropy + mass));

  if (dslash_type == QUDA_TWISTED_MASS_DSLASH || dslash_type == QUDA_TWISTED_CLOVER_DSLASH) {
    inv_param.mu = 0.12;
    inv_param.epsilon = 0.1385;
    inv_param.twist_flavor = twist_flavor;
    inv_param.Ls = (inv_param.twist_flavor == QUDA_TWIST_NONDEG_DOUBLET) ? 2 : 1;
  } else if (dslash_type == QUDA_DOMAIN_WALL_DSLASH ||
             dslash_type == QUDA_DOMAIN_WALL_4D_DSLASH) {
    inv_param.m5 = -1.8;
    kappa5 = 0.5/(5 + inv_param.m5);  
    inv_param.Ls = Lsdim;
  } else if (dslash_type == QUDA_MOBIUS_DWF_DSLASH) {
    inv_param.m5 = -1.8;
    kappa5 = 0.5/(5 + inv_param.m5);  
    inv_param.Ls = Lsdim;
    for(int k = 0; k < Lsdim; k++)
    {
      // b5[k], c[k] values are chosen for arbitrary values,
      // but the difference of them are same as 1.0
      inv_param.b_5[k] = 1.452;
      inv_param.c_5[k] = 0.452;
    }
  }

  // offsets used only by multi-shift solver
  inv_param.num_offset = 4;
  double offset[4] = {0.01, 0.02, 0.03, 0.04};
  for (int i=0; i<inv_param.num_offset; i++) inv_param.offset[i] = offset[i];

  inv_param.inv_type = inv_type;
  if (inv_param.dslash_type == QUDA_TWISTED_MASS_DSLASH || dslash_type == QUDA_TWISTED_CLOVER_DSLASH) {
    inv_param.solution_type = QUDA_MAT_SOLUTION;
  } else {
    inv_param.solution_type = multishift ? QUDA_MATPCDAG_MATPC_SOLUTION : QUDA_MATPC_SOLUTION;
  }
  inv_param.matpc_type = matpc_type;

  inv_param.dagger = QUDA_DAG_NO;
  inv_param.mass_normalization = normalization;
  inv_param.solver_normalization = QUDA_DEFAULT_NORMALIZATION;

  if (dslash_type == QUDA_DOMAIN_WALL_DSLASH || 
      dslash_type == QUDA_DOMAIN_WALL_4D_DSLASH ||
      dslash_type == QUDA_MOBIUS_DWF_DSLASH ||
      dslash_type == QUDA_TWISTED_MASS_DSLASH || 
      dslash_type == QUDA_TWISTED_CLOVER_DSLASH || 
      multishift || inv_type == QUDA_CG_INVERTER) {
    inv_param.solve_type = QUDA_NORMOP_PC_SOLVE;
  } else {
    inv_param.solve_type = QUDA_DIRECT_PC_SOLVE;
  }

  inv_param.pipeline = 0;

  inv_param.Nsteps = 2;
  inv_param.gcrNkrylov = 10;
  inv_param.tol = 1e-7;
  inv_param.tol_restart = 1e-3; //now theoretical background for this parameter... 
#if __COMPUTE_CAPABILITY__ >= 200
  // require both L2 relative and heavy quark residual to determine convergence
  inv_param.residual_type = static_cast<QudaResidualType>(QUDA_L2_RELATIVE_RESIDUAL | QUDA_HEAVY_QUARK_RESIDUAL);
  inv_param.tol_hq = 1e-3; // specify a tolerance for the residual for heavy quark residual
#else
  // Pre Fermi architecture only supports L2 relative residual norm
  inv_param.residual_type = QUDA_L2_RELATIVE_RESIDUAL;
#endif
  // these can be set individually
  for (int i=0; i<inv_param.num_offset; i++) {
    inv_param.tol_offset[i] = inv_param.tol;
    inv_param.tol_hq_offset[i] = inv_param.tol_hq;
  }
  inv_param.maxiter = 10000;
  inv_param.reliable_delta = 1e-1;
  inv_param.use_sloppy_partial_accumulator = 0;
  inv_param.max_res_increase = 1;

  // domain decomposition preconditioner parameters
  inv_param.inv_type_precondition = precon_type;
    
  inv_param.schwarz_type = QUDA_ADDITIVE_SCHWARZ;
  inv_param.precondition_cycle = 1;
  inv_param.tol_precondition = 1e-1;
  inv_param.maxiter_precondition = 10;
  inv_param.verbosity_precondition = QUDA_SILENT;
  inv_param.cuda_prec_precondition = cuda_prec_precondition;
  inv_param.omega = 1.0;

  inv_param.cpu_prec = cpu_prec;
  inv_param.cuda_prec = cuda_prec;
  inv_param.cuda_prec_sloppy = cuda_prec_sloppy;
  inv_param.preserve_source = QUDA_PRESERVE_SOURCE_NO;
  inv_param.gamma_basis = QUDA_DEGRAND_ROSSI_GAMMA_BASIS;
  inv_param.dirac_order = QUDA_DIRAC_ORDER;

  inv_param.input_location = QUDA_CPU_FIELD_LOCATION;
  inv_param.output_location = QUDA_CPU_FIELD_LOCATION;

  inv_param.tune = tune ? QUDA_TUNE_YES : QUDA_TUNE_NO;

  gauge_param.ga_pad = 0; // 24*24*24/2;
  inv_param.sp_pad = 0; // 24*24*24/2;
  inv_param.cl_pad = 0; // 24*24*24/2;

  // For multi-GPU, ga_pad must be large enough to store a time-slice
#ifdef MULTI_GPU
  int x_face_size = gauge_param.X[1]*gauge_param.X[2]*gauge_param.X[3]/2;
  int y_face_size = gauge_param.X[0]*gauge_param.X[2]*gauge_param.X[3]/2;
  int z_face_size = gauge_param.X[0]*gauge_param.X[1]*gauge_param.X[3]/2;
  int t_face_size = gauge_param.X[0]*gauge_param.X[1]*gauge_param.X[2]/2;
  int pad_size =MAX(x_face_size, y_face_size);
  pad_size = MAX(pad_size, z_face_size);
  pad_size = MAX(pad_size, t_face_size);
  gauge_param.ga_pad = pad_size;    
#endif

  if (dslash_type == QUDA_CLOVER_WILSON_DSLASH || dslash_type == QUDA_TWISTED_CLOVER_DSLASH) {
    inv_param.clover_cpu_prec = cpu_prec;
    inv_param.clover_cuda_prec = cuda_prec;
    inv_param.clover_cuda_prec_sloppy = cuda_prec_sloppy;
    inv_param.clover_cuda_prec_precondition = cuda_prec_precondition;
    inv_param.clover_order = QUDA_PACKED_CLOVER_ORDER;
    inv_param.clover_coeff = 1.5*inv_param.kappa;
  }

  inv_param.verbosity = QUDA_VERBOSE;

  // *** Everything between here and the call to initQuda() is
  // *** application-specific.

  // set parameters for the reference Dslash, and prepare fields to be loaded
  if (dslash_type == QUDA_DOMAIN_WALL_DSLASH ||
      dslash_type == QUDA_DOMAIN_WALL_4D_DSLASH ||
      dslash_type == QUDA_MOBIUS_DWF_DSLASH) {
    dw_setDims(gauge_param.X, inv_param.Ls);
  } else {
    setDims(gauge_param.X);
  }

  setSpinorSiteSize(24);

  size_t gSize = (gauge_param.cpu_prec == QUDA_DOUBLE_PRECISION) ? sizeof(double) : sizeof(float);
  size_t sSize = (inv_param.cpu_prec == QUDA_DOUBLE_PRECISION) ? sizeof(double) : sizeof(float);

  void *gauge[4], *clover_inv=0, *clover=0;

  for (int dir = 0; dir < 4; dir++) {
    gauge[dir] = malloc(V*gaugeSiteSize*gSize);
  }

  if (strcmp(latfile,"")) {  // load in the command line supplied gauge field
    read_gauge_field(latfile, gauge, gauge_param.cpu_prec, gauge_param.X, argc, argv);
    construct_gauge_field(gauge, 2, gauge_param.cpu_prec, &gauge_param);
  } else { // else generate a random SU(3) field
    construct_gauge_field(gauge, 1, gauge_param.cpu_prec, &gauge_param);
  }

  if (dslash_type == QUDA_CLOVER_WILSON_DSLASH) {
    double norm = 0.0; // clover components are random numbers in the range (-norm, norm)
    double diag = 1.0; // constant added to the diagonal

    size_t cSize = (inv_param.clover_cpu_prec == QUDA_DOUBLE_PRECISION) ? sizeof(double) : sizeof(float);
    clover_inv = malloc(V*cloverSiteSize*cSize);
    construct_clover_field(clover_inv, norm, diag, inv_param.clover_cpu_prec);

    // The uninverted clover term is only needed when solving the unpreconditioned
    // system or when using "asymmetric" even/odd preconditioning.
    int preconditioned = (inv_param.solve_type == QUDA_DIRECT_PC_SOLVE ||
                          inv_param.solve_type == QUDA_NORMOP_PC_SOLVE);
    int asymmetric = preconditioned &&
                         (inv_param.matpc_type == QUDA_MATPC_EVEN_EVEN_ASYMMETRIC ||
                          inv_param.matpc_type == QUDA_MATPC_ODD_ODD_ASYMMETRIC);
    if (!preconditioned) {
      clover = clover_inv;
      clover_inv = NULL;
    } else if (asymmetric) { // fake it by using the same random matrix
      clover = clover_inv;   // for both clover and clover_inv
    } else {
      clover = NULL;
    }
  }

  void *spinorIn = malloc(V*spinorSiteSize*sSize*inv_param.Ls);
  void *spinorCheck = malloc(V*spinorSiteSize*sSize*inv_param.Ls);

  void *spinorOut = NULL, **spinorOutMulti = NULL;
  if (multishift) {
    spinorOutMulti = (void**)malloc(inv_param.num_offset*sizeof(void *));
    for (int i=0; i<inv_param.num_offset; i++) {
      spinorOutMulti[i] = malloc(V*spinorSiteSize*sSize*inv_param.Ls);
    }
  } else {
    spinorOut = malloc(V*spinorSiteSize*sSize*inv_param.Ls);
  }

  memset(spinorIn, 0, inv_param.Ls*V*spinorSiteSize*sSize);
  memset(spinorCheck, 0, inv_param.Ls*V*spinorSiteSize*sSize);
  if (multishift) {
    for (int i=0; i<inv_param.num_offset; i++) memset(spinorOutMulti[i], 0, inv_param.Ls*V*spinorSiteSize*sSize);    
  } else {
    memset(spinorOut, 0, inv_param.Ls*V*spinorSiteSize*sSize);
  }

  // create a point source at 0 (in each subvolume...  FIXME)

  // create a point source at 0 (in each subvolume...  FIXME)
  
  if (inv_param.cpu_prec == QUDA_SINGLE_PRECISION) {
    //((float*)spinorIn)[0] = 1.0;
    for (int i=0; i<inv_param.Ls*V*spinorSiteSize; i++) ((float*)spinorIn)[i] = rand() / (float)RAND_MAX;
  } else {
    //((double*)spinorIn)[0] = 1.0;
    for (int i=0; i<inv_param.Ls*V*spinorSiteSize; i++) ((double*)spinorIn)[i] = rand() / (double)RAND_MAX;
  }

  // start the timer
  double time0 = -((double)clock());

  // initialize the QUDA library
  initQuda(device);

  // load the gauge field
  loadGaugeQuda((void*)gauge, &gauge_param);

  // load the clover term, if desired
  if (dslash_type == QUDA_CLOVER_WILSON_DSLASH) loadCloverQuda(clover, clover_inv, &inv_param);

  if (dslash_type == QUDA_TWISTED_CLOVER_DSLASH) loadCloverQuda(NULL, NULL, &inv_param);

  // perform the inversion
  if (multishift) {
    invertMultiShiftQuda(spinorOutMulti, spinorIn, &inv_param);
  } else {
    invertQuda(spinorOut, spinorIn, &inv_param);
  }

  // stop the timer
  time0 += clock();
  time0 /= CLOCKS_PER_SEC;
    
  printfQuda("Device memory used:\n   Spinor: %f GiB\n    Gauge: %f GiB\n", 
         inv_param.spinorGiB, gauge_param.gaugeGiB);
  if (dslash_type == QUDA_CLOVER_WILSON_DSLASH || dslash_type == QUDA_TWISTED_CLOVER_DSLASH) {
    printfQuda("   Clover: %f GiB\n", inv_param.cloverGiB);
  }
  printfQuda("\nDone: %i iter / %g secs = %g Gflops, total time = %g secs\n", 
         inv_param.iter, inv_param.secs, inv_param.gflops/inv_param.secs, time0);

  if (multishift) {
    if (inv_param.mass_normalization == QUDA_MASS_NORMALIZATION) {
      errorQuda("Mass normalization not supported for multi-shift solver in invert_test");
    }

    void *spinorTmp = malloc(V*spinorSiteSize*sSize*inv_param.Ls);

    printfQuda("Host residuum checks: \n");
    for(int i=0; i < inv_param.num_offset; i++) {
      ax(0, spinorCheck, V*spinorSiteSize, inv_param.cpu_prec);
      
      if (dslash_type == QUDA_TWISTED_MASS_DSLASH || dslash_type == QUDA_TWISTED_CLOVER_DSLASH) {
        if (inv_param.twist_flavor != QUDA_TWIST_MINUS && inv_param.twist_flavor != QUDA_TWIST_PLUS)
          errorQuda("Twisted mass solution type not supported");
        tm_matpc(spinorTmp, gauge, spinorOutMulti[i], inv_param.kappa, inv_param.mu, inv_param.twist_flavor, 
                 inv_param.matpc_type, 0, inv_param.cpu_prec, gauge_param);
        tm_matpc(spinorCheck, gauge, spinorTmp, inv_param.kappa, inv_param.mu, inv_param.twist_flavor, 
                 inv_param.matpc_type, 1, inv_param.cpu_prec, gauge_param);
      } else if (dslash_type == QUDA_WILSON_DSLASH || dslash_type == QUDA_CLOVER_WILSON_DSLASH) {
        wil_matpc(spinorTmp, gauge, spinorOutMulti[i], inv_param.kappa, inv_param.matpc_type, 0,
                  inv_param.cpu_prec, gauge_param);
        wil_matpc(spinorCheck, gauge, spinorTmp, inv_param.kappa, inv_param.matpc_type, 1,
                  inv_param.cpu_prec, gauge_param);
      } else {
        printfQuda("Domain wall not supported for multi-shift\n");
        exit(-1);
      }

      axpy(inv_param.offset[i], spinorOutMulti[i], spinorCheck, Vh*spinorSiteSize, inv_param.cpu_prec);
      mxpy(spinorIn, spinorCheck, Vh*spinorSiteSize, inv_param.cpu_prec);
      double nrm2 = norm_2(spinorCheck, Vh*spinorSiteSize, inv_param.cpu_prec);
      double src2 = norm_2(spinorIn, Vh*spinorSiteSize, inv_param.cpu_prec);
      double l2r = sqrt(nrm2 / src2);

      printfQuda("Shift %d residuals: (L2 relative) tol %g, QUDA = %g, host = %g; (heavy-quark) tol %g, QUDA = %g\n",
                 i, inv_param.tol_offset[i], inv_param.true_res_offset[i], l2r, 
                 inv_param.tol_hq_offset[i], inv_param.true_res_hq_offset[i]);
    }
    free(spinorTmp);

  } else {
    
    if (inv_param.solution_type == QUDA_MAT_SOLUTION) {

      if (dslash_type == QUDA_TWISTED_MASS_DSLASH || dslash_type == QUDA_TWISTED_CLOVER_DSLASH) {
        if(inv_param.twist_flavor == QUDA_TWIST_PLUS || inv_param.twist_flavor == QUDA_TWIST_MINUS)      
          tm_mat(spinorCheck, gauge, spinorOut, inv_param.kappa, inv_param.mu, inv_param.twist_flavor, 0, inv_param.cpu_prec, gauge_param);
        else
        {
          int tm_offset = V*spinorSiteSize; //12*spinorRef->Volume();     
          void *evenOut = spinorCheck;
          void *oddOut  = cpu_prec == sizeof(double) ? (void*)((double*)evenOut + tm_offset): (void*)((float*)evenOut + tm_offset);
    
          void *evenIn  = spinorOut;
          void *oddIn   = cpu_prec == sizeof(double) ? (void*)((double*)evenIn + tm_offset): (void*)((float*)evenIn + tm_offset);
    
          tm_ndeg_mat(evenOut, oddOut, gauge, evenIn, oddIn, inv_param.kappa, inv_param.mu, inv_param.epsilon, 0, inv_param.cpu_prec, gauge_param);     
        }
      } else if (dslash_type == QUDA_WILSON_DSLASH || dslash_type == QUDA_CLOVER_WILSON_DSLASH) {
        wil_mat(spinorCheck, gauge, spinorOut, inv_param.kappa, 0, inv_param.cpu_prec, gauge_param);
      } else if (dslash_type == QUDA_DOMAIN_WALL_DSLASH) {
        dw_mat(spinorCheck, gauge, spinorOut, kappa5, inv_param.dagger, inv_param.cpu_prec, gauge_param, inv_param.mass);
//      } else if (dslash_type == QUDA_DOMAIN_WALL_4D_DSLASH) {
//        dw_4d_mat(spinorCheck, gauge, spinorOut, kappa5, inv_param.dagger, inv_param.cpu_prec, gauge_param, inv_param.mass);
//      } else if (dslash_type == QUDA_MOBIUS_DWF_DSLASH) {
//        mdw_mat(spinorCheck, gauge, spinorOut, kappa5, inv_param.dagger, inv_param.cpu_prec, gauge_param, inv_param.mass);
      } else {
        printfQuda("Unsupported dslash_type\n");
        exit(-1);
      }
      if (inv_param.mass_normalization == QUDA_MASS_NORMALIZATION) {
        if (dslash_type == QUDA_DOMAIN_WALL_DSLASH || 
            dslash_type == QUDA_DOMAIN_WALL_4D_DSLASH ||
            dslash_type == QUDA_MOBIUS_DWF_DSLASH) {
          ax(0.5/kappa5, spinorCheck, V*spinorSiteSize*inv_param.Ls, inv_param.cpu_prec);
        } else if (dslash_type == QUDA_TWISTED_MASS_DSLASH && twist_flavor == QUDA_TWIST_NONDEG_DOUBLET) {
          ax(0.5/inv_param.kappa, spinorCheck, 2*V*spinorSiteSize, inv_param.cpu_prec);
        } else {
          ax(0.5/inv_param.kappa, spinorCheck, V*spinorSiteSize, inv_param.cpu_prec);
        }
      }

    } else if(inv_param.solution_type == QUDA_MATPC_SOLUTION) {

      if (dslash_type == QUDA_TWISTED_MASS_DSLASH || dslash_type == QUDA_TWISTED_CLOVER_DSLASH) {
        if (inv_param.twist_flavor != QUDA_TWIST_MINUS && inv_param.twist_flavor != QUDA_TWIST_PLUS)
          errorQuda("Twisted mass solution type not supported");
        tm_matpc(spinorCheck, gauge, spinorOut, inv_param.kappa, inv_param.mu, inv_param.twist_flavor, 
                 inv_param.matpc_type, 0, inv_param.cpu_prec, gauge_param);
      } else if (dslash_type == QUDA_WILSON_DSLASH || dslash_type == QUDA_CLOVER_WILSON_DSLASH) {
        wil_matpc(spinorCheck, gauge, spinorOut, inv_param.kappa, inv_param.matpc_type, 0, 
                  inv_param.cpu_prec, gauge_param);
      } else if (dslash_type == QUDA_DOMAIN_WALL_DSLASH) {
        dw_matpc(spinorCheck, gauge, spinorOut, kappa5, inv_param.matpc_type, 0, inv_param.cpu_prec, gauge_param, inv_param.mass);
      } else if (dslash_type == QUDA_DOMAIN_WALL_4D_DSLASH) {
        dw_4d_matpc(spinorCheck, gauge, spinorOut, kappa5, inv_param.matpc_type, 0, inv_param.cpu_prec, gauge_param, inv_param.mass);
      } else if (dslash_type == QUDA_MOBIUS_DWF_DSLASH) {
        double *kappa_b, *kappa_c;
        kappa_b = (double*)malloc(Lsdim*sizeof(double));
        kappa_c = (double*)malloc(Lsdim*sizeof(double));
        for(int xs = 0 ; xs < Lsdim ; xs++)
        {
          kappa_b[xs] = 1.0/(2*(inv_param.b_5[xs]*(4.0 + inv_param.m5) + 1.0));
          kappa_c[xs] = 1.0/(2*(inv_param.c_5[xs]*(4.0 + inv_param.m5) - 1.0));
        }
        mdw_matpc(spinorCheck, gauge, spinorOut, kappa_b, kappa_c, inv_param.matpc_type, 0, inv_param.cpu_prec, gauge_param, inv_param.mass, inv_param.b_5, inv_param.c_5);
        free(kappa_b);
        free(kappa_c);
      } else {
        printfQuda("Unsupported dslash_type\n");
        exit(-1);
      }

      if (inv_param.mass_normalization == QUDA_MASS_NORMALIZATION) {
        if (dslash_type == QUDA_DOMAIN_WALL_DSLASH ||
            dslash_type == QUDA_DOMAIN_WALL_4D_DSLASH ||
            dslash_type == QUDA_MOBIUS_DWF_DSLASH) {
          ax(0.25/(kappa5*kappa5), spinorCheck, V*spinorSiteSize*inv_param.Ls, inv_param.cpu_prec);
        } else {
          ax(0.25/(inv_param.kappa*inv_param.kappa), spinorCheck, Vh*spinorSiteSize, inv_param.cpu_prec);
      
        }
      }

    } else if (inv_param.solution_type == QUDA_MATPCDAG_MATPC_SOLUTION) {

      void *spinorTmp = malloc(V*spinorSiteSize*sSize*inv_param.Ls);

      ax(0, spinorCheck, V*spinorSiteSize, inv_param.cpu_prec);
      
      if (dslash_type == QUDA_TWISTED_MASS_DSLASH || dslash_type == QUDA_TWISTED_CLOVER_DSLASH) {
        if (inv_param.twist_flavor != QUDA_TWIST_MINUS && inv_param.twist_flavor != QUDA_TWIST_PLUS)
          errorQuda("Twisted mass solution type not supported");
        tm_matpc(spinorTmp, gauge, spinorOut, inv_param.kappa, inv_param.mu, inv_param.twist_flavor, 
                 inv_param.matpc_type, 0, inv_param.cpu_prec, gauge_param);
        tm_matpc(spinorCheck, gauge, spinorTmp, inv_param.kappa, inv_param.mu, inv_param.twist_flavor, 
                 inv_param.matpc_type, 1, inv_param.cpu_prec, gauge_param);
      } else if (dslash_type == QUDA_WILSON_DSLASH || dslash_type == QUDA_CLOVER_WILSON_DSLASH) {
        wil_matpc(spinorTmp, gauge, spinorOut, inv_param.kappa, inv_param.matpc_type, 0,
                  inv_param.cpu_prec, gauge_param);
        wil_matpc(spinorCheck, gauge, spinorTmp, inv_param.kappa, inv_param.matpc_type, 1,
                  inv_param.cpu_prec, gauge_param);
      } else {
        printfQuda("Unsupported dslash_type\n");
        exit(-1);
      }

      if (inv_param.mass_normalization == QUDA_MASS_NORMALIZATION) {
        errorQuda("Mass normalization not implemented");
      }

      free(spinorTmp);
    }


    int vol = inv_param.solution_type == QUDA_MAT_SOLUTION ? V : Vh;
    mxpy(spinorIn, spinorCheck, vol*spinorSiteSize*inv_param.Ls, inv_param.cpu_prec);
    double nrm2 = norm_2(spinorCheck, vol*spinorSiteSize*inv_param.Ls, inv_param.cpu_prec);
    double src2 = norm_2(spinorIn, vol*spinorSiteSize*inv_param.Ls, inv_param.cpu_prec);
    double l2r = sqrt(nrm2 / src2);

    printfQuda("Residuals: (L2 relative) tol %g, QUDA = %g, host = %g; (heavy-quark) tol %g, QUDA = %g\n",
               inv_param.tol, inv_param.true_res, l2r, inv_param.tol_hq, inv_param.true_res_hq);

  }

  freeGaugeQuda();
  if (dslash_type == QUDA_CLOVER_WILSON_DSLASH || dslash_type == QUDA_TWISTED_CLOVER_DSLASH) freeCloverQuda();
  
  // finalize the QUDA library
  endQuda();

  finalizeComms();

  return 0;
}