Sort all includes in src/gromacs
[alexxy/gromacs.git] / src / gromacs / mdlib / nbnxn_search.c
index d0f32ee8e1b8e3ce4c8bdfcc74c72912315474fe..f13de8c7db485633350dd28414c1d23bb53eb237 100644 (file)
@@ -1,97 +1,88 @@
-/* -*- mode: c; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4; c-file-style: "stroustrup"; -*-
+/*
+ * This file is part of the GROMACS molecular simulation package.
  *
+ * Copyright (c) 2012,2013,2014, by the GROMACS development team, led by
+ * Mark Abraham, David van der Spoel, Berk Hess, and Erik Lindahl,
+ * and including many others, as listed in the AUTHORS file in the
+ * top-level source directory and at http://www.gromacs.org.
  *
- *                This source code is part of
- *
- *                 G   R   O   M   A   C   S
+ * GROMACS is free software; you can redistribute it and/or
+ * modify it under the terms of the GNU Lesser General Public License
+ * as published by the Free Software Foundation; either version 2.1
+ * of the License, or (at your option) any later version.
  *
- *          GROningen MAchine for Chemical Simulations
+ * GROMACS 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
+ * Lesser General Public License for more details.
  *
- * Written by David van der Spoel, Erik Lindahl, Berk Hess, and others.
- * Copyright (c) 1991-2000, University of Groningen, The Netherlands.
- * Copyright (c) 2001-2012, The GROMACS development team,
- * check out http://www.gromacs.org for more information.
-
- * 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.
+ * You should have received a copy of the GNU Lesser General Public
+ * License along with GROMACS; if not, see
+ * http://www.gnu.org/licenses, or write to the Free Software Foundation,
+ * Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301  USA.
  *
- * If you want to redistribute modifications, please consider that
- * scientific software is very special. Version control is crucial -
- * bugs must be traceable. We will be happy to consider code for
- * inclusion in the official distribution, but derived work must not
- * be called official GROMACS. Details are found in the README & COPYING
- * files - if they are missing, get the official version at www.gromacs.org.
+ * If you want to redistribute modifications to GROMACS, please
+ * consider that scientific software is very special. Version
+ * control is crucial - bugs must be traceable. We will be happy to
+ * consider code for inclusion in the official distribution, but
+ * derived work must not be called official GROMACS. Details are found
+ * in the README & COPYING files - if they are missing, get the
+ * official version at http://www.gromacs.org.
  *
  * To help us fund GROMACS development, we humbly ask that you cite
- * the papers on the package - you can find them in the top README file.
- *
- * For more info, check our website at http://www.gromacs.org
+ * the research papers on the package. Check out http://www.gromacs.org.
  */
 
-#ifdef HAVE_CONFIG_H
-#include <config.h>
-#endif
+#include "gmxpre.h"
 
-#include <math.h>
-#include <string.h>
-#include "sysstuff.h"
-#include "smalloc.h"
-#include "macros.h"
-#include "maths.h"
-#include "vec.h"
-#include "pbc.h"
-#include "nbnxn_consts.h"
-#include "nbnxn_internal.h"
-#include "nbnxn_atomdata.h"
 #include "nbnxn_search.h"
-#include "gmx_cyclecounter.h"
-#include "gmxfio.h"
-#include "gmx_omp_nthreads.h"
-#include "nrnb.h"
 
+#include "config.h"
 
-/* Pair search box lower and upper corner in x,y,z.
- * Store this in 4 iso 3 reals, which is useful with SSE.
- * To avoid complicating the code we also use 4 without SSE.
- */
-#define NNBSBB_C         4
-#define NNBSBB_B         (2*NNBSBB_C)
-/* Pair search box lower and upper bound in z only. */
-#define NNBSBB_D         2
-/* Pair search box lower and upper corner x,y,z indices */
-#define BBL_X  0
-#define BBL_Y  1
-#define BBL_Z  2
-#define BBU_X  4
-#define BBU_Y  5
-#define BBU_Z  6
-
-
-#ifdef NBNXN_SEARCH_BB_SSE
-/* We use SSE or AVX-128bit for bounding box calculations */
+#include <assert.h>
+#include <math.h>
+#include <string.h>
 
-#ifndef GMX_DOUBLE
-/* Single precision BBs + coordinates, we can also load coordinates using SSE */
-#define NBNXN_SEARCH_SSE_SINGLE
+#include "gromacs/legacyheaders/gmx_omp_nthreads.h"
+#include "gromacs/legacyheaders/macros.h"
+#include "gromacs/legacyheaders/nrnb.h"
+#include "gromacs/legacyheaders/ns.h"
+#include "gromacs/legacyheaders/types/commrec.h"
+#include "gromacs/math/utilities.h"
+#include "gromacs/math/vec.h"
+#include "gromacs/mdlib/nb_verlet.h"
+#include "gromacs/mdlib/nbnxn_atomdata.h"
+#include "gromacs/mdlib/nbnxn_consts.h"
+#include "gromacs/pbcutil/ishift.h"
+#include "gromacs/pbcutil/pbc.h"
+#include "gromacs/utility/smalloc.h"
+
+/* nbnxn_internal.h included gromacs/simd/macros.h */
+#include "gromacs/mdlib/nbnxn_internal.h"
+#ifdef GMX_SIMD
+#include "gromacs/simd/vector_operations.h"
 #endif
 
-/* Include basic SSE2 stuff */
-#include <emmintrin.h>
+#ifdef NBNXN_SEARCH_BB_SIMD4
+/* Always use 4-wide SIMD for bounding box calculations */
+
+#    ifndef GMX_DOUBLE
+/* Single precision BBs + coordinates, we can also load coordinates with SIMD */
+#        define NBNXN_SEARCH_SIMD4_FLOAT_X_BB
+#    endif
 
-#if defined NBNXN_SEARCH_SSE_SINGLE && (GPU_NSUBCELL == 4 || GPU_NSUBCELL == 8)
+#    if defined NBNXN_SEARCH_SIMD4_FLOAT_X_BB && (GPU_NSUBCELL == 4 || GPU_NSUBCELL == 8)
 /* Store bounding boxes with x, y and z coordinates in packs of 4 */
-#define NBNXN_PBB_SSE
-#endif
+#        define NBNXN_PBB_SIMD4
+#    endif
 
-/* The width of SSE/AVX128 with single precision for bounding boxes with GPU.
- * Here AVX-256 turns out to be slightly slower than AVX-128.
+/* The packed bounding box coordinate stride is always set to 4.
+ * With AVX we could use 8, but that turns out not to be faster.
  */
-#define STRIDE_PBB        4
-#define STRIDE_PBB_2LOG   2
+#    define STRIDE_PBB        4
+#    define STRIDE_PBB_2LOG   2
 
-#endif /* NBNXN_SEARCH_BB_SSE */
+#endif /* NBNXN_SEARCH_BB_SIMD4 */
 
 #ifdef GMX_NBNXN_SIMD
 
 #define X_IND_CJ_J8(cj)  ((cj)*STRIDE_P8)
 
 /* The j-cluster size is matched to the SIMD width */
-#if GMX_NBNXN_SIMD_BITWIDTH == 128
-#ifdef GMX_DOUBLE
+#if GMX_SIMD_REAL_WIDTH == 2
 #define CI_TO_CJ_SIMD_4XN(ci)  CI_TO_CJ_J2(ci)
 #define X_IND_CI_SIMD_4XN(ci)  X_IND_CI_J2(ci)
 #define X_IND_CJ_SIMD_4XN(cj)  X_IND_CJ_J2(cj)
 #else
-#define CI_TO_CJ_SIMD_4XN(ci)  CI_TO_CJ_J4(ci)
-#define X_IND_CI_SIMD_4XN(ci)  X_IND_CI_J4(ci)
-#define X_IND_CJ_SIMD_4XN(cj)  X_IND_CJ_J4(cj)
-#endif
-#else
-#if GMX_NBNXN_SIMD_BITWIDTH == 256
-#ifdef GMX_DOUBLE
+#if GMX_SIMD_REAL_WIDTH == 4
 #define CI_TO_CJ_SIMD_4XN(ci)  CI_TO_CJ_J4(ci)
 #define X_IND_CI_SIMD_4XN(ci)  X_IND_CI_J4(ci)
 #define X_IND_CJ_SIMD_4XN(cj)  X_IND_CJ_J4(cj)
 #else
+#if GMX_SIMD_REAL_WIDTH == 8
 #define CI_TO_CJ_SIMD_4XN(ci)  CI_TO_CJ_J8(ci)
 #define X_IND_CI_SIMD_4XN(ci)  X_IND_CI_J8(ci)
 #define X_IND_CJ_SIMD_4XN(cj)  X_IND_CJ_J8(cj)
 #define CI_TO_CJ_SIMD_2XNN(ci) CI_TO_CJ_J4(ci)
 #define X_IND_CI_SIMD_2XNN(ci) X_IND_CI_J4(ci)
 #define X_IND_CJ_SIMD_2XNN(cj) X_IND_CJ_J4(cj)
-#endif
 #else
-#error "unsupported GMX_NBNXN_SIMD_WIDTH"
+#if GMX_SIMD_REAL_WIDTH == 16
+#define CI_TO_CJ_SIMD_2XNN(ci) CI_TO_CJ_J8(ci)
+#define X_IND_CI_SIMD_2XNN(ci) X_IND_CI_J8(ci)
+#define X_IND_CJ_SIMD_2XNN(cj) X_IND_CJ_J8(cj)
+#else
+#error "unsupported GMX_SIMD_REAL_WIDTH"
+#endif
+#endif
 #endif
 #endif
 
 #endif /* GMX_NBNXN_SIMD */
 
 
-/* Interaction masks for 4xN atom interactions.
- * Bit i*CJ_SIZE + j tells if atom i and j interact.
- */
-/* All interaction mask is the same for all kernels */
-#define NBNXN_INT_MASK_ALL        0xffffffff
-/* 4x4 kernel diagonal mask */
-#define NBNXN_INT_MASK_DIAG       0x08ce
-/* 4x2 kernel diagonal masks */
-#define NBNXN_INT_MASK_DIAG_J2_0  0x0002
-#define NBNXN_INT_MASK_DIAG_J2_1  0x002F
-/* 4x8 kernel diagonal masks */
-#define NBNXN_INT_MASK_DIAG_J8_0  0xf0f8fcfe
-#define NBNXN_INT_MASK_DIAG_J8_1  0x0080c0e0
-
-
-#ifdef NBNXN_SEARCH_BB_SSE
+#ifdef NBNXN_SEARCH_BB_SIMD4
 /* Store bounding boxes corners as quadruplets: xxxxyyyyzzzz */
 #define NBNXN_BBXXXX
 /* Size of bounding box corners quadruplet */
@@ -191,7 +167,7 @@ static void nbs_cycle_clear(nbnxn_cycle_t *cc)
 {
     int i;
 
-    for(i=0; i<enbsCCnr; i++)
+    for (i = 0; i < enbsCCnr; i++)
     {
         cc[i].count = 0;
         cc[i].c     = 0;
@@ -203,13 +179,13 @@ static double Mcyc_av(const nbnxn_cycle_t *cc)
     return (double)cc->c*1e-6/cc->count;
 }
 
-static void nbs_cycle_print(FILE *fp,const nbnxn_search_t nbs)
+static void nbs_cycle_print(FILE *fp, const nbnxn_search_t nbs)
 {
     int n;
     int t;
 
-    fprintf(fp,"\n");
-    fprintf(fp,"ns %4d grid %4.1f search %4.1f red.f %5.3f",
+    fprintf(fp, "\n");
+    fprintf(fp, "ns %4d grid %4.1f search %4.1f red.f %5.3f",
             nbs->cc[enbsCCgrid].count,
             Mcyc_av(&nbs->cc[enbsCCgrid]),
             Mcyc_av(&nbs->cc[enbsCCsearch]),
@@ -219,17 +195,17 @@ static void nbs_cycle_print(FILE *fp,const nbnxn_search_t nbs)
     {
         if (nbs->cc[enbsCCcombine].count > 0)
         {
-            fprintf(fp," comb %5.2f",
+            fprintf(fp, " comb %5.2f",
                     Mcyc_av(&nbs->cc[enbsCCcombine]));
         }
-        fprintf(fp," s. th");
-        for(t=0; t<nbs->nthread_max; t++)
+        fprintf(fp, " s. th");
+        for (t = 0; t < nbs->nthread_max; t++)
         {
-            fprintf(fp," %4.1f",
+            fprintf(fp, " %4.1f",
                     Mcyc_av(&nbs->work[t].cc[enbsCCsearch]));
         }
     }
-    fprintf(fp,"\n");
+    fprintf(fp, "\n");
 }
 
 static void nbnxn_grid_init(nbnxn_grid_t * grid)
@@ -253,7 +229,7 @@ static int get_2log(int n)
     }
     if ((1<<log2) != n)
     {
-        gmx_fatal(FARGS,"nbnxn na_c (%d) is not a power of 2",n);
+        gmx_fatal(FARGS, "nbnxn na_c (%d) is not a power of 2", n);
     }
 
     return log2;
@@ -263,19 +239,19 @@ static int nbnxn_kernel_to_ci_size(int nb_kernel_type)
 {
     switch (nb_kernel_type)
     {
-    case nbnxnk4x4_PlainC:
-    case nbnxnk4xN_SIMD_4xN:
-    case nbnxnk4xN_SIMD_2xNN:
-        return NBNXN_CPU_CLUSTER_I_SIZE;
-    case nbnxnk8x8x8_CUDA:
-    case nbnxnk8x8x8_PlainC:
-        /* The cluster size for super/sub lists is only set here.
-         * Any value should work for the pair-search and atomdata code.
-         * The kernels, of course, might require a particular value.
-         */
-        return NBNXN_GPU_CLUSTER_SIZE;
-    default:
-        gmx_incons("unknown kernel type");
+        case nbnxnk4x4_PlainC:
+        case nbnxnk4xN_SIMD_4xN:
+        case nbnxnk4xN_SIMD_2xNN:
+            return NBNXN_CPU_CLUSTER_I_SIZE;
+        case nbnxnk8x8x8_CUDA:
+        case nbnxnk8x8x8_PlainC:
+            /* The cluster size for super/sub lists is only set here.
+             * Any value should work for the pair-search and atomdata code.
+             * The kernels, of course, might require a particular value.
+             */
+            return NBNXN_GPU_CLUSTER_SIZE;
+        default:
+            gmx_incons("unknown kernel type");
     }
 
     return 0;
@@ -283,42 +259,42 @@ static int nbnxn_kernel_to_ci_size(int nb_kernel_type)
 
 int nbnxn_kernel_to_cj_size(int nb_kernel_type)
 {
-    int nbnxn_simd_width=0;
-    int cj_size=0;
+    int nbnxn_simd_width = 0;
+    int cj_size          = 0;
 
 #ifdef GMX_NBNXN_SIMD
-    nbnxn_simd_width = GMX_NBNXN_SIMD_BITWIDTH/(sizeof(real)*8);
+    nbnxn_simd_width = GMX_SIMD_REAL_WIDTH;
 #endif
 
     switch (nb_kernel_type)
     {
-    case nbnxnk4x4_PlainC:
-        cj_size = NBNXN_CPU_CLUSTER_I_SIZE;
-        break;
-    case nbnxnk4xN_SIMD_4xN:
-        cj_size = nbnxn_simd_width;
-        break;
-    case nbnxnk4xN_SIMD_2xNN:
-        cj_size = nbnxn_simd_width/2;
-        break;
-    case nbnxnk8x8x8_CUDA:
-    case nbnxnk8x8x8_PlainC:
-        cj_size = nbnxn_kernel_to_ci_size(nb_kernel_type);
-        break;
-    default:
-        gmx_incons("unknown kernel type");
+        case nbnxnk4x4_PlainC:
+            cj_size = NBNXN_CPU_CLUSTER_I_SIZE;
+            break;
+        case nbnxnk4xN_SIMD_4xN:
+            cj_size = nbnxn_simd_width;
+            break;
+        case nbnxnk4xN_SIMD_2xNN:
+            cj_size = nbnxn_simd_width/2;
+            break;
+        case nbnxnk8x8x8_CUDA:
+        case nbnxnk8x8x8_PlainC:
+            cj_size = nbnxn_kernel_to_ci_size(nb_kernel_type);
+            break;
+        default:
+            gmx_incons("unknown kernel type");
     }
 
     return cj_size;
 }
 
-static int ci_to_cj(int na_cj_2log,int ci)
+static int ci_to_cj(int na_cj_2log, int ci)
 {
     switch (na_cj_2log)
     {
-    case 2: return  ci;     break;
-    case 1: return (ci<<1); break;
-    case 3: return (ci>>1); break;
+        case 2: return ci;     break;
+        case 1: return (ci<<1); break;
+        case 3: return (ci>>1); break;
     }
 
     return 0;
@@ -333,32 +309,59 @@ gmx_bool nbnxn_kernel_pairlist_simple(int nb_kernel_type)
 
     switch (nb_kernel_type)
     {
-    case nbnxnk8x8x8_CUDA:
-    case nbnxnk8x8x8_PlainC:
-        return FALSE;
+        case nbnxnk8x8x8_CUDA:
+        case nbnxnk8x8x8_PlainC:
+            return FALSE;
 
-    case nbnxnk4x4_PlainC:
-    case nbnxnk4xN_SIMD_4xN:
-    case nbnxnk4xN_SIMD_2xNN:
-        return TRUE;
+        case nbnxnk4x4_PlainC:
+        case nbnxnk4xN_SIMD_4xN:
+        case nbnxnk4xN_SIMD_2xNN:
+            return TRUE;
 
-    default:
-        gmx_incons("Invalid nonbonded kernel type passed!");
-        return FALSE;
+        default:
+            gmx_incons("Invalid nonbonded kernel type passed!");
+            return FALSE;
     }
 }
 
-void nbnxn_init_search(nbnxn_search_t * nbs_ptr,
-                       ivec *n_dd_cells,
+/* Initializes a single nbnxn_pairlist_t data structure */
+static void nbnxn_init_pairlist_fep(t_nblist *nl)
+{
+    nl->type        = GMX_NBLIST_INTERACTION_FREE_ENERGY;
+    nl->igeometry   = GMX_NBLIST_GEOMETRY_PARTICLE_PARTICLE;
+    /* The interaction functions are set in the free energy kernel fuction */
+    nl->ivdw        = -1;
+    nl->ivdwmod     = -1;
+    nl->ielec       = -1;
+    nl->ielecmod    = -1;
+
+    nl->maxnri      = 0;
+    nl->maxnrj      = 0;
+    nl->nri         = 0;
+    nl->nrj         = 0;
+    nl->iinr        = NULL;
+    nl->gid         = NULL;
+    nl->shift       = NULL;
+    nl->jindex      = NULL;
+    nl->jjnr        = NULL;
+    nl->excl_fep    = NULL;
+
+}
+
+void nbnxn_init_search(nbnxn_search_t    * nbs_ptr,
+                       ivec               *n_dd_cells,
                        gmx_domdec_zones_t *zones,
-                       int nthread_max)
+                       gmx_bool            bFEP,
+                       int                 nthread_max)
 {
     nbnxn_search_t nbs;
-    int d,g,t;
+    int            d, g, t;
 
-    snew(nbs,1);
+    snew(nbs, 1);
     *nbs_ptr = nbs;
 
+    nbs->bFEP   = bFEP;
+
     nbs->DomDec = (n_dd_cells != NULL);
 
     clear_ivec(nbs->dd_dim);
@@ -367,7 +370,7 @@ void nbnxn_init_search(nbnxn_search_t * nbs_ptr,
     {
         nbs->zones = zones;
 
-        for(d=0; d<DIM; d++)
+        for (d = 0; d < DIM; d++)
         {
             if ((*n_dd_cells)[d] > 1)
             {
@@ -378,8 +381,8 @@ void nbnxn_init_search(nbnxn_search_t * nbs_ptr,
         }
     }
 
-    snew(nbs->grid,nbs->ngrid);
-    for(g=0; g<nbs->ngrid; g++)
+    snew(nbs->grid, nbs->ngrid);
+    for (g = 0; g < nbs->ngrid; g++)
     {
         nbnxn_grid_init(&nbs->grid[g]);
     }
@@ -391,30 +394,39 @@ void nbnxn_init_search(nbnxn_search_t * nbs_ptr,
     nbs->nthread_max = nthread_max;
 
     /* Initialize the work data structures for each thread */
-    snew(nbs->work,nbs->nthread_max);
-    for(t=0; t<nbs->nthread_max; t++)
+    snew(nbs->work, nbs->nthread_max);
+    for (t = 0; t < nbs->nthread_max; t++)
     {
         nbs->work[t].cxy_na           = NULL;
         nbs->work[t].cxy_na_nalloc    = 0;
         nbs->work[t].sort_work        = NULL;
         nbs->work[t].sort_work_nalloc = 0;
+
+        snew(nbs->work[t].nbl_fep, 1);
+        nbnxn_init_pairlist_fep(nbs->work[t].nbl_fep);
     }
 
     /* Initialize detailed nbsearch cycle counting */
     nbs->print_cycles = (getenv("GMX_NBNXN_CYCLE") != 0);
     nbs->search_count = 0;
     nbs_cycle_clear(nbs->cc);
-    for(t=0; t<nbs->nthread_max; t++)
+    for (t = 0; t < nbs->nthread_max; t++)
     {
         nbs_cycle_clear(nbs->work[t].cc);
     }
 }
 
-static real grid_atom_density(int n,rvec corner0,rvec corner1)
+static real grid_atom_density(int n, rvec corner0, rvec corner1)
 {
     rvec size;
 
-    rvec_sub(corner1,corner0,size);
+    if (n == 0)
+    {
+        /* To avoid zero density we use a minimum of 1 atom */
+        n = 1;
+    }
+
+    rvec_sub(corner1, corner0, size);
 
     return n/(size[XX]*size[YY]*size[ZZ]);
 }
@@ -422,36 +434,37 @@ static real grid_atom_density(int n,rvec corner0,rvec corner1)
 static int set_grid_size_xy(const nbnxn_search_t nbs,
                             nbnxn_grid_t *grid,
                             int dd_zone,
-                            int n,rvec corner0,rvec corner1,
-                            real atom_density,
-                            int XFormat)
+                            int n, rvec corner0, rvec corner1,
+                            real atom_density)
 {
     rvec size;
     int  na_c;
-    real adens,tlen,tlen_x,tlen_y,nc_max;
+    real adens, tlen, tlen_x, tlen_y, nc_max;
     int  t;
 
-    rvec_sub(corner1,corner0,size);
+    rvec_sub(corner1, corner0, size);
 
     if (n > grid->na_sc)
     {
+        assert(atom_density > 0);
+
         /* target cell length */
         if (grid->bSimple)
         {
             /* To minimize the zero interactions, we should make
              * the largest of the i/j cell cubic.
              */
-            na_c = max(grid->na_c,grid->na_cj);
+            na_c = max(grid->na_c, grid->na_cj);
 
             /* Approximately cubic cells */
-            tlen   = pow(na_c/atom_density,1.0/3.0);
+            tlen   = pow(na_c/atom_density, 1.0/3.0);
             tlen_x = tlen;
             tlen_y = tlen;
         }
         else
         {
             /* Approximately cubic sub cells */
-            tlen   = pow(grid->na_c/atom_density,1.0/3.0);
+            tlen   = pow(grid->na_c/atom_density, 1.0/3.0);
             tlen_x = tlen*GPU_NSUBCELL_X;
             tlen_y = tlen*GPU_NSUBCELL_Y;
         }
@@ -459,8 +472,8 @@ static int set_grid_size_xy(const nbnxn_search_t nbs,
          * in the nbsist when the fixed cell dimensions (x,y) are
          * larger than the variable one (z) than the other way around.
          */
-        grid->ncx = max(1,(int)(size[XX]/tlen_x));
-        grid->ncy = max(1,(int)(size[YY]/tlen_y));
+        grid->ncx = max(1, (int)(size[XX]/tlen_x));
+        grid->ncy = max(1, (int)(size[YY]/tlen_y));
     }
     else
     {
@@ -468,8 +481,8 @@ static int set_grid_size_xy(const nbnxn_search_t nbs,
         grid->ncy = 1;
     }
 
-    grid->sx = size[XX]/grid->ncx;
-    grid->sy = size[YY]/grid->ncy;
+    grid->sx     = size[XX]/grid->ncx;
+    grid->sy     = size[YY]/grid->ncy;
     grid->inv_sx = 1/grid->sx;
     grid->inv_sy = 1/grid->sy;
 
@@ -489,15 +502,15 @@ static int set_grid_size_xy(const nbnxn_search_t nbs,
     if (grid->ncx*grid->ncy+1 > grid->cxy_nalloc)
     {
         grid->cxy_nalloc = over_alloc_large(grid->ncx*grid->ncy+1);
-        srenew(grid->cxy_na,grid->cxy_nalloc);
-        srenew(grid->cxy_ind,grid->cxy_nalloc+1);
+        srenew(grid->cxy_na, grid->cxy_nalloc);
+        srenew(grid->cxy_ind, grid->cxy_nalloc+1);
     }
-    for(t=0; t<nbs->nthread_max; t++)
+    for (t = 0; t < nbs->nthread_max; t++)
     {
         if (grid->ncx*grid->ncy+1 > nbs->work[t].cxy_na_nalloc)
         {
             nbs->work[t].cxy_na_nalloc = over_alloc_large(grid->ncx*grid->ncy+1);
-            srenew(nbs->work[t].cxy_na,nbs->work[t].cxy_na_nalloc);
+            srenew(nbs->work[t].cxy_na, nbs->work[t].cxy_na_nalloc);
         }
     }
 
@@ -513,21 +526,29 @@ static int set_grid_size_xy(const nbnxn_search_t nbs,
 
     if (nc_max > grid->nc_nalloc)
     {
-        int bb_nalloc;
-
         grid->nc_nalloc = over_alloc_large(nc_max);
-        srenew(grid->nsubc,grid->nc_nalloc);
-        srenew(grid->bbcz,grid->nc_nalloc*NNBSBB_D);
-#ifdef NBNXN_PBB_SSE
-        bb_nalloc = grid->nc_nalloc*GPU_NSUBCELL/STRIDE_PBB*NNBSBB_XXXX;
-#else
-        bb_nalloc = grid->nc_nalloc*GPU_NSUBCELL*NNBSBB_B;
-#endif
+        srenew(grid->nsubc, grid->nc_nalloc);
+        srenew(grid->bbcz, grid->nc_nalloc*NNBSBB_D);
+
         sfree_aligned(grid->bb);
         /* This snew also zeros the contents, this avoid possible
-         * floating exceptions in SSE with the unused bb elements.
+         * floating exceptions in SIMD with the unused bb elements.
          */
-        snew_aligned(grid->bb,bb_nalloc,16);
+        if (grid->bSimple)
+        {
+            snew_aligned(grid->bb, grid->nc_nalloc, 16);
+        }
+        else
+        {
+#ifdef NBNXN_BBXXXX
+            int pbb_nalloc;
+
+            pbb_nalloc = grid->nc_nalloc*GPU_NSUBCELL/STRIDE_PBB*NNBSBB_XXXX;
+            snew_aligned(grid->pbb, pbb_nalloc, 16);
+#else
+            snew_aligned(grid->bb, grid->nc_nalloc*GPU_NSUBCELL, 16);
+#endif
+        }
 
         if (grid->bSimple)
         {
@@ -538,15 +559,19 @@ static int set_grid_size_xy(const nbnxn_search_t nbs,
             else
             {
                 sfree_aligned(grid->bbj);
-                snew_aligned(grid->bbj,bb_nalloc*grid->na_c/grid->na_cj,16);
+                snew_aligned(grid->bbj, grid->nc_nalloc*grid->na_c/grid->na_cj, 16);
             }
         }
 
-        srenew(grid->flags,grid->nc_nalloc);
+        srenew(grid->flags, grid->nc_nalloc);
+        if (nbs->bFEP)
+        {
+            srenew(grid->fep, grid->nc_nalloc*grid->na_sc/grid->na_c);
+        }
     }
 
-    copy_rvec(corner0,grid->c0);
-    copy_rvec(corner1,grid->c1);
+    copy_rvec(corner0, grid->c0);
+    copy_rvec(corner1, grid->c1);
 
     return nc_max;
 }
@@ -570,17 +595,21 @@ static int set_grid_size_xy(const nbnxn_search_t nbs,
 /* Sort particle index a on coordinates x along dim.
  * Backwards tells if we want decreasing iso increasing coordinates.
  * h0 is the minimum of the coordinate range.
- * invh is the inverse hole spacing.
- * nsort, the theortical hole limit, is only used for debugging.
+ * invh is the 1/length of the sorting range.
+ * n_per_h (>=n) is the expected average number of particles per 1/invh
  * sort is the sorting work array.
+ * sort should have a size of at least n_per_h*SORT_GRID_OVERSIZE + n,
+ * or easier, allocate at least n*SGSF elements.
  */
-static void sort_atoms(int dim,gmx_bool Backwards,
-                       int *a,int n,rvec *x,
-                       real h0,real invh,int nsort,int *sort)
+static void sort_atoms(int dim, gmx_bool Backwards,
+                       int gmx_unused dd_zone,
+                       int *a, int n, rvec *x,
+                       real h0, real invh, int n_per_h,
+                       int *sort)
 {
-    int i,c;
-    int zi,zim,zi_min,zi_max;
-    int cp,tmp;
+    int nsort, i, c;
+    int zi, zim, zi_min, zi_max;
+    int cp, tmp;
 
     if (n <= 1)
     {
@@ -588,12 +617,27 @@ static void sort_atoms(int dim,gmx_bool Backwards,
         return;
     }
 
+#ifndef NDEBUG
+    if (n > n_per_h)
+    {
+        gmx_incons("n > n_per_h");
+    }
+#endif
+
+    /* Transform the inverse range height into the inverse hole height */
+    invh *= n_per_h*SORT_GRID_OVERSIZE;
+
+    /* Set nsort to the maximum possible number of holes used.
+     * In worst case all n elements end up in the last bin.
+     */
+    nsort = n_per_h*SORT_GRID_OVERSIZE + n;
+
     /* Determine the index range used, so we can limit it for the second pass */
     zi_min = INT_MAX;
     zi_max = -1;
 
     /* Sort the particles using a simple index sort */
-    for(i=0; i<n; i++)
+    for (i = 0; i < n; i++)
     {
         /* The cast takes care of float-point rounding effects below zero.
          * This code assumes particles are less than 1/SORT_GRID_OVERSIZE
@@ -601,14 +645,25 @@ static void sort_atoms(int dim,gmx_bool Backwards,
          */
         zi = (int)((x[a[i]][dim] - h0)*invh);
 
-#ifdef DEBUG_NBNXN_GRIDDING
-        if (zi < 0 || zi >= nsort)
+#ifndef NDEBUG
+        /* As we can have rounding effect, we use > iso >= here */
+        if (zi < 0 || (dd_zone == 0 && zi > n_per_h*SORT_GRID_OVERSIZE))
         {
-            gmx_fatal(FARGS,"(int)((x[%d][%c]=%f - %f)*%f) = %d, not in 0 - %d\n",
-                      a[i],'x'+dim,x[a[i]][dim],h0,invh,zi,nsort);
+            gmx_fatal(FARGS, "(int)((x[%d][%c]=%f - %f)*%f) = %d, not in 0 - %d*%d\n",
+                      a[i], 'x'+dim, x[a[i]][dim], h0, invh, zi,
+                      n_per_h, SORT_GRID_OVERSIZE);
         }
 #endif
 
+        /* In a non-local domain, particles communcated for bonded interactions
+         * can be far beyond the grid size, which is set by the non-bonded
+         * cut-off distance. We sort such particles into the last cell.
+         */
+        if (zi > n_per_h*SORT_GRID_OVERSIZE)
+        {
+            zi = n_per_h*SORT_GRID_OVERSIZE;
+        }
+
         /* Ideally this particle should go in sort cell zi,
          * but that might already be in use,
          * in that case find the first empty cell higher up
@@ -616,8 +671,8 @@ static void sort_atoms(int dim,gmx_bool Backwards,
         if (sort[zi] < 0)
         {
             sort[zi] = a[i];
-            zi_min = min(zi_min,zi);
-            zi_max = max(zi_max,zi);
+            zi_min   = min(zi_min, zi);
+            zi_max   = max(zi_max, zi);
         }
         else
         {
@@ -627,9 +682,9 @@ static void sort_atoms(int dim,gmx_bool Backwards,
              * well-defined output order, independent of input order
              * to ensure binary reproducibility after restarts.
              */
-            while(sort[zi] >= 0 && ( x[a[i]][dim] >  x[sort[zi]][dim] ||
-                                    (x[a[i]][dim] == x[sort[zi]][dim] &&
-                                     a[i] > sort[zi])))
+            while (sort[zi] >= 0 && ( x[a[i]][dim] >  x[sort[zi]][dim] ||
+                                      (x[a[i]][dim] == x[sort[zi]][dim] &&
+                                       a[i] > sort[zi])))
             {
                 zi++;
             }
@@ -637,42 +692,42 @@ static void sort_atoms(int dim,gmx_bool Backwards,
             if (sort[zi] >= 0)
             {
                 /* Shift all elements by one slot until we find an empty slot */
-                cp = sort[zi];
+                cp  = sort[zi];
                 zim = zi + 1;
                 while (sort[zim] >= 0)
                 {
-                    tmp = sort[zim];
+                    tmp       = sort[zim];
                     sort[zim] = cp;
-                    cp  = tmp;
+                    cp        = tmp;
                     zim++;
                 }
                 sort[zim] = cp;
-                zi_max = max(zi_max,zim);
+                zi_max    = max(zi_max, zim);
             }
             sort[zi] = a[i];
-            zi_max = max(zi_max,zi);
+            zi_max   = max(zi_max, zi);
         }
     }
 
     c = 0;
     if (!Backwards)
     {
-        for(zi=0; zi<nsort; zi++)
+        for (zi = 0; zi < nsort; zi++)
         {
             if (sort[zi] >= 0)
             {
-                a[c++] = sort[zi];
+                a[c++]   = sort[zi];
                 sort[zi] = -1;
             }
         }
     }
     else
     {
-        for(zi=zi_max; zi>=zi_min; zi--)
+        for (zi = zi_max; zi >= zi_min; zi--)
         {
             if (sort[zi] >= 0)
             {
-                a[c++] = sort[zi];
+                a[c++]   = sort[zi];
                 sort[zi] = -1;
             }
         }
@@ -692,12 +747,12 @@ static void sort_atoms(int dim,gmx_bool Backwards,
 #endif
 
 /* Coordinate order x,y,z, bb order xyz0 */
-static void calc_bounding_box(int na,int stride,const real *x,float *bb)
+static void calc_bounding_box(int na, int stride, const real *x, nbnxn_bb_t *bb)
 {
-    int  i,j;
-    real xl,xh,yl,yh,zl,zh;
+    int  i, j;
+    real xl, xh, yl, yh, zl, zh;
 
-    i = 0;
+    i  = 0;
     xl = x[i+XX];
     xh = x[i+XX];
     yl = x[i+YY];
@@ -705,30 +760,30 @@ static void calc_bounding_box(int na,int stride,const real *x,float *bb)
     zl = x[i+ZZ];
     zh = x[i+ZZ];
     i += stride;
-    for(j=1; j<na; j++)
-    {
-        xl = min(xl,x[i+XX]);
-        xh = max(xh,x[i+XX]);
-        yl = min(yl,x[i+YY]);
-        yh = max(yh,x[i+YY]);
-        zl = min(zl,x[i+ZZ]);
-        zh = max(zh,x[i+ZZ]);
+    for (j = 1; j < na; j++)
+    {
+        xl = min(xl, x[i+XX]);
+        xh = max(xh, x[i+XX]);
+        yl = min(yl, x[i+YY]);
+        yh = max(yh, x[i+YY]);
+        zl = min(zl, x[i+ZZ]);
+        zh = max(zh, x[i+ZZ]);
         i += stride;
     }
     /* Note: possible double to float conversion here */
-    bb[BBL_X] = R2F_D(xl);
-    bb[BBL_Y] = R2F_D(yl);
-    bb[BBL_Z] = R2F_D(zl);
-    bb[BBU_X] = R2F_U(xh);
-    bb[BBU_Y] = R2F_U(yh);
-    bb[BBU_Z] = R2F_U(zh);
+    bb->lower[BB_X] = R2F_D(xl);
+    bb->lower[BB_Y] = R2F_D(yl);
+    bb->lower[BB_Z] = R2F_D(zl);
+    bb->upper[BB_X] = R2F_U(xh);
+    bb->upper[BB_Y] = R2F_U(yh);
+    bb->upper[BB_Z] = R2F_U(zh);
 }
 
 /* Packed coordinates, bb order xyz0 */
-static void calc_bounding_box_x_x4(int na,const real *x,float *bb)
+static void calc_bounding_box_x_x4(int na, const real *x, nbnxn_bb_t *bb)
 {
     int  j;
-    real xl,xh,yl,yh,zl,zh;
+    real xl, xh, yl, yh, zl, zh;
 
     xl = x[XX*PACK_X4];
     xh = x[XX*PACK_X4];
@@ -736,29 +791,29 @@ static void calc_bounding_box_x_x4(int na,const real *x,float *bb)
     yh = x[YY*PACK_X4];
     zl = x[ZZ*PACK_X4];
     zh = x[ZZ*PACK_X4];
-    for(j=1; j<na; j++)
+    for (j = 1; j < na; j++)
     {
-        xl = min(xl,x[j+XX*PACK_X4]);
-        xh = max(xh,x[j+XX*PACK_X4]);
-        yl = min(yl,x[j+YY*PACK_X4]);
-        yh = max(yh,x[j+YY*PACK_X4]);
-        zl = min(zl,x[j+ZZ*PACK_X4]);
-        zh = max(zh,x[j+ZZ*PACK_X4]);
+        xl = min(xl, x[j+XX*PACK_X4]);
+        xh = max(xh, x[j+XX*PACK_X4]);
+        yl = min(yl, x[j+YY*PACK_X4]);
+        yh = max(yh, x[j+YY*PACK_X4]);
+        zl = min(zl, x[j+ZZ*PACK_X4]);
+        zh = max(zh, x[j+ZZ*PACK_X4]);
     }
     /* Note: possible double to float conversion here */
-    bb[BBL_X] = R2F_D(xl);
-    bb[BBL_Y] = R2F_D(yl);
-    bb[BBL_Z] = R2F_D(zl);
-    bb[BBU_X] = R2F_U(xh);
-    bb[BBU_Y] = R2F_U(yh);
-    bb[BBU_Z] = R2F_U(zh);
+    bb->lower[BB_X] = R2F_D(xl);
+    bb->lower[BB_Y] = R2F_D(yl);
+    bb->lower[BB_Z] = R2F_D(zl);
+    bb->upper[BB_X] = R2F_U(xh);
+    bb->upper[BB_Y] = R2F_U(yh);
+    bb->upper[BB_Z] = R2F_U(zh);
 }
 
 /* Packed coordinates, bb order xyz0 */
-static void calc_bounding_box_x_x8(int na,const real *x,float *bb)
+static void calc_bounding_box_x_x8(int na, const real *x, nbnxn_bb_t *bb)
 {
     int  j;
-    real xl,xh,yl,yh,zl,zh;
+    real xl, xh, yl, yh, zl, zh;
 
     xl = x[XX*PACK_X8];
     xh = x[XX*PACK_X8];
@@ -766,58 +821,76 @@ static void calc_bounding_box_x_x8(int na,const real *x,float *bb)
     yh = x[YY*PACK_X8];
     zl = x[ZZ*PACK_X8];
     zh = x[ZZ*PACK_X8];
-    for(j=1; j<na; j++)
+    for (j = 1; j < na; j++)
     {
-        xl = min(xl,x[j+XX*PACK_X8]);
-        xh = max(xh,x[j+XX*PACK_X8]);
-        yl = min(yl,x[j+YY*PACK_X8]);
-        yh = max(yh,x[j+YY*PACK_X8]);
-        zl = min(zl,x[j+ZZ*PACK_X8]);
-        zh = max(zh,x[j+ZZ*PACK_X8]);
+        xl = min(xl, x[j+XX*PACK_X8]);
+        xh = max(xh, x[j+XX*PACK_X8]);
+        yl = min(yl, x[j+YY*PACK_X8]);
+        yh = max(yh, x[j+YY*PACK_X8]);
+        zl = min(zl, x[j+ZZ*PACK_X8]);
+        zh = max(zh, x[j+ZZ*PACK_X8]);
     }
     /* Note: possible double to float conversion here */
-    bb[BBL_X] = R2F_D(xl);
-    bb[BBL_Y] = R2F_D(yl);
-    bb[BBL_Z] = R2F_D(zl);
-    bb[BBU_X] = R2F_U(xh);
-    bb[BBU_Y] = R2F_U(yh);
-    bb[BBU_Z] = R2F_U(zh);
+    bb->lower[BB_X] = R2F_D(xl);
+    bb->lower[BB_Y] = R2F_D(yl);
+    bb->lower[BB_Z] = R2F_D(zl);
+    bb->upper[BB_X] = R2F_U(xh);
+    bb->upper[BB_Y] = R2F_U(yh);
+    bb->upper[BB_Z] = R2F_U(zh);
 }
 
-#ifdef NBNXN_SEARCH_BB_SSE
-
 /* Packed coordinates, bb order xyz0 */
-static void calc_bounding_box_x_x4_halves(int na,const real *x,
-                                          float *bb,float *bbj)
+static void calc_bounding_box_x_x4_halves(int na, const real *x,
+                                          nbnxn_bb_t *bb, nbnxn_bb_t *bbj)
 {
-    calc_bounding_box_x_x4(min(na,2),x,bbj);
+    calc_bounding_box_x_x4(min(na, 2), x, bbj);
 
     if (na > 2)
     {
-        calc_bounding_box_x_x4(min(na-2,2),x+(PACK_X4>>1),bbj+NNBSBB_B);
+        calc_bounding_box_x_x4(min(na-2, 2), x+(PACK_X4>>1), bbj+1);
     }
     else
     {
         /* Set the "empty" bounding box to the same as the first one,
          * so we don't need to treat special cases in the rest of the code.
          */
-        _mm_store_ps(bbj+NNBSBB_B         ,_mm_load_ps(bbj));
-        _mm_store_ps(bbj+NNBSBB_B+NNBSBB_C,_mm_load_ps(bbj+NNBSBB_C));
+#ifdef NBNXN_SEARCH_BB_SIMD4
+        gmx_simd4_store_f(&bbj[1].lower[0], gmx_simd4_load_f(&bbj[0].lower[0]));
+        gmx_simd4_store_f(&bbj[1].upper[0], gmx_simd4_load_f(&bbj[0].upper[0]));
+#else
+        bbj[1] = bbj[0];
+#endif
     }
 
-    _mm_store_ps(bb         ,_mm_min_ps(_mm_load_ps(bbj),
-                                        _mm_load_ps(bbj+NNBSBB_B)));
-    _mm_store_ps(bb+NNBSBB_C,_mm_max_ps(_mm_load_ps(bbj+NNBSBB_C),
-                                        _mm_load_ps(bbj+NNBSBB_B+NNBSBB_C)));
+#ifdef NBNXN_SEARCH_BB_SIMD4
+    gmx_simd4_store_f(&bb->lower[0],
+                      gmx_simd4_min_f(gmx_simd4_load_f(&bbj[0].lower[0]),
+                                      gmx_simd4_load_f(&bbj[1].lower[0])));
+    gmx_simd4_store_f(&bb->upper[0],
+                      gmx_simd4_max_f(gmx_simd4_load_f(&bbj[0].upper[0]),
+                                      gmx_simd4_load_f(&bbj[1].upper[0])));
+#else
+    {
+        int i;
+
+        for (i = 0; i < NNBSBB_C; i++)
+        {
+            bb->lower[i] = min(bbj[0].lower[i], bbj[1].lower[i]);
+            bb->upper[i] = max(bbj[0].upper[i], bbj[1].upper[i]);
+        }
+    }
+#endif
 }
 
+#ifdef NBNXN_SEARCH_BB_SIMD4
+
 /* Coordinate order xyz, bb order xxxxyyyyzzzz */
-static void calc_bounding_box_xxxx(int na,int stride,const real *x,float *bb)
+static void calc_bounding_box_xxxx(int na, int stride, const real *x, float *bb)
 {
-    int  i,j;
-    real xl,xh,yl,yh,zl,zh;
+    int  i, j;
+    real xl, xh, yl, yh, zl, zh;
 
-    i = 0;
+    i  = 0;
     xl = x[i+XX];
     xh = x[i+XX];
     yl = x[i+YY];
@@ -825,14 +898,14 @@ static void calc_bounding_box_xxxx(int na,int stride,const real *x,float *bb)
     zl = x[i+ZZ];
     zh = x[i+ZZ];
     i += stride;
-    for(j=1; j<na; j++)
-    {
-        xl = min(xl,x[i+XX]);
-        xh = max(xh,x[i+XX]);
-        yl = min(yl,x[i+YY]);
-        yh = max(yh,x[i+YY]);
-        zl = min(zl,x[i+ZZ]);
-        zh = max(zh,x[i+ZZ]);
+    for (j = 1; j < na; j++)
+    {
+        xl = min(xl, x[i+XX]);
+        xh = max(xh, x[i+XX]);
+        yl = min(yl, x[i+YY]);
+        yh = max(yh, x[i+YY]);
+        zl = min(zl, x[i+ZZ]);
+        zh = max(zh, x[i+ZZ]);
         i += stride;
     }
     /* Note: possible double to float conversion here */
@@ -844,166 +917,172 @@ static void calc_bounding_box_xxxx(int na,int stride,const real *x,float *bb)
     bb[5*STRIDE_PBB] = R2F_U(zh);
 }
 
-#endif /* NBNXN_SEARCH_BB_SSE */
+#endif /* NBNXN_SEARCH_BB_SIMD4 */
 
-#ifdef NBNXN_SEARCH_SSE_SINGLE
+#ifdef NBNXN_SEARCH_SIMD4_FLOAT_X_BB
 
 /* Coordinate order xyz?, bb order xyz0 */
-static void calc_bounding_box_sse(int na,const float *x,float *bb)
+static void calc_bounding_box_simd4(int na, const float *x, nbnxn_bb_t *bb)
 {
-    __m128 bb_0_SSE,bb_1_SSE;
-    __m128 x_SSE;
+    gmx_simd4_float_t bb_0_S, bb_1_S;
+    gmx_simd4_float_t x_S;
 
-    int  i;
+    int               i;
 
-    bb_0_SSE = _mm_load_ps(x);
-    bb_1_SSE = bb_0_SSE;
+    bb_0_S = gmx_simd4_load_f(x);
+    bb_1_S = bb_0_S;
 
-    for(i=1; i<na; i++)
+    for (i = 1; i < na; i++)
     {
-        x_SSE    = _mm_load_ps(x+i*NNBSBB_C);
-        bb_0_SSE = _mm_min_ps(bb_0_SSE,x_SSE);
-        bb_1_SSE = _mm_max_ps(bb_1_SSE,x_SSE);
+        x_S    = gmx_simd4_load_f(x+i*NNBSBB_C);
+        bb_0_S = gmx_simd4_min_f(bb_0_S, x_S);
+        bb_1_S = gmx_simd4_max_f(bb_1_S, x_S);
     }
 
-    _mm_store_ps(bb  ,bb_0_SSE);
-    _mm_store_ps(bb+4,bb_1_SSE);
+    gmx_simd4_store_f(&bb->lower[0], bb_0_S);
+    gmx_simd4_store_f(&bb->upper[0], bb_1_S);
 }
 
 /* Coordinate order xyz?, bb order xxxxyyyyzzzz */
-static void calc_bounding_box_xxxx_sse(int na,const float *x,
-                                       float *bb_work,
-                                       real *bb)
+static void calc_bounding_box_xxxx_simd4(int na, const float *x,
+                                         nbnxn_bb_t *bb_work_aligned,
+                                         real *bb)
 {
-    calc_bounding_box_sse(na,x,bb_work);
-
-    bb[0*STRIDE_PBB] = bb_work[BBL_X];
-    bb[1*STRIDE_PBB] = bb_work[BBL_Y];
-    bb[2*STRIDE_PBB] = bb_work[BBL_Z];
-    bb[3*STRIDE_PBB] = bb_work[BBU_X];
-    bb[4*STRIDE_PBB] = bb_work[BBU_Y];
-    bb[5*STRIDE_PBB] = bb_work[BBU_Z];
+    calc_bounding_box_simd4(na, x, bb_work_aligned);
+
+    bb[0*STRIDE_PBB] = bb_work_aligned->lower[BB_X];
+    bb[1*STRIDE_PBB] = bb_work_aligned->lower[BB_Y];
+    bb[2*STRIDE_PBB] = bb_work_aligned->lower[BB_Z];
+    bb[3*STRIDE_PBB] = bb_work_aligned->upper[BB_X];
+    bb[4*STRIDE_PBB] = bb_work_aligned->upper[BB_Y];
+    bb[5*STRIDE_PBB] = bb_work_aligned->upper[BB_Z];
 }
 
-#endif /* NBNXN_SEARCH_SSE_SINGLE */
+#endif /* NBNXN_SEARCH_SIMD4_FLOAT_X_BB */
 
-#ifdef NBNXN_SEARCH_BB_SSE
 
 /* Combines pairs of consecutive bounding boxes */
-static void combine_bounding_box_pairs(nbnxn_grid_t *grid,const float *bb)
+static void combine_bounding_box_pairs(nbnxn_grid_t *grid, const nbnxn_bb_t *bb)
 {
-    int    i,j,sc2,nc2,c2;
-    __m128 min_SSE,max_SSE;
+    int    i, j, sc2, nc2, c2;
 
-    for(i=0; i<grid->ncx*grid->ncy; i++)
+    for (i = 0; i < grid->ncx*grid->ncy; i++)
     {
         /* Starting bb in a column is expected to be 2-aligned */
         sc2 = grid->cxy_ind[i]>>1;
         /* For odd numbers skip the last bb here */
         nc2 = (grid->cxy_na[i]+3)>>(2+1);
-        for(c2=sc2; c2<sc2+nc2; c2++)
+        for (c2 = sc2; c2 < sc2+nc2; c2++)
         {
-            min_SSE = _mm_min_ps(_mm_load_ps(bb+(c2*4+0)*NNBSBB_C),
-                                 _mm_load_ps(bb+(c2*4+2)*NNBSBB_C));
-            max_SSE = _mm_max_ps(_mm_load_ps(bb+(c2*4+1)*NNBSBB_C),
-                                 _mm_load_ps(bb+(c2*4+3)*NNBSBB_C));
-            _mm_store_ps(grid->bbj+(c2*2+0)*NNBSBB_C,min_SSE);
-            _mm_store_ps(grid->bbj+(c2*2+1)*NNBSBB_C,max_SSE);
+#ifdef NBNXN_SEARCH_BB_SIMD4
+            gmx_simd4_float_t min_S, max_S;
+
+            min_S = gmx_simd4_min_f(gmx_simd4_load_f(&bb[c2*2+0].lower[0]),
+                                    gmx_simd4_load_f(&bb[c2*2+1].lower[0]));
+            max_S = gmx_simd4_max_f(gmx_simd4_load_f(&bb[c2*2+0].upper[0]),
+                                    gmx_simd4_load_f(&bb[c2*2+1].upper[0]));
+            gmx_simd4_store_f(&grid->bbj[c2].lower[0], min_S);
+            gmx_simd4_store_f(&grid->bbj[c2].upper[0], max_S);
+#else
+            for (j = 0; j < NNBSBB_C; j++)
+            {
+                grid->bbj[c2].lower[j] = min(bb[c2*2+0].lower[j],
+                                             bb[c2*2+1].lower[j]);
+                grid->bbj[c2].upper[j] = max(bb[c2*2+0].upper[j],
+                                             bb[c2*2+1].upper[j]);
+            }
+#endif
         }
         if (((grid->cxy_na[i]+3)>>2) & 1)
         {
-            /* Copy the last bb for odd bb count in this column */
-            for(j=0; j<NNBSBB_C; j++)
+            /* The bb count in this column is odd: duplicate the last bb */
+            for (j = 0; j < NNBSBB_C; j++)
             {
-                grid->bbj[(c2*2+0)*NNBSBB_C+j] = bb[(c2*4+0)*NNBSBB_C+j];
-                grid->bbj[(c2*2+1)*NNBSBB_C+j] = bb[(c2*4+1)*NNBSBB_C+j];
+                grid->bbj[c2].lower[j] = bb[c2*2].lower[j];
+                grid->bbj[c2].upper[j] = bb[c2*2].upper[j];
             }
         }
     }
 }
 
-#endif
-
 
 /* Prints the average bb size, used for debug output */
-static void print_bbsizes_simple(FILE *fp,
+static void print_bbsizes_simple(FILE                *fp,
                                  const nbnxn_search_t nbs,
-                                 const nbnxn_grid_t *grid)
+                                 const nbnxn_grid_t  *grid)
 {
-    int  c,d;
+    int  c, d;
     dvec ba;
 
     clear_dvec(ba);
-    for(c=0; c<grid->nc; c++)
+    for (c = 0; c < grid->nc; c++)
     {
-        for(d=0; d<DIM; d++)
+        for (d = 0; d < DIM; d++)
         {
-            ba[d] += grid->bb[c*NNBSBB_B+NNBSBB_C+d] - grid->bb[c*NNBSBB_B+d];
+            ba[d] += grid->bb[c].upper[d] - grid->bb[c].lower[d];
         }
     }
-    dsvmul(1.0/grid->nc,ba,ba);
+    dsvmul(1.0/grid->nc, ba, ba);
 
-    fprintf(fp,"ns bb: %4.2f %4.2f %4.2f  %4.2f %4.2f %4.2f rel %4.2f %4.2f %4.2f\n",
+    fprintf(fp, "ns bb: %4.2f %4.2f %4.2f  %4.2f %4.2f %4.2f rel %4.2f %4.2f %4.2f\n",
             nbs->box[XX][XX]/grid->ncx,
             nbs->box[YY][YY]/grid->ncy,
             nbs->box[ZZ][ZZ]*grid->ncx*grid->ncy/grid->nc,
-            ba[XX],ba[YY],ba[ZZ],
+            ba[XX], ba[YY], ba[ZZ],
             ba[XX]*grid->ncx/nbs->box[XX][XX],
             ba[YY]*grid->ncy/nbs->box[YY][YY],
             ba[ZZ]*grid->nc/(grid->ncx*grid->ncy*nbs->box[ZZ][ZZ]));
 }
 
 /* Prints the average bb size, used for debug output */
-static void print_bbsizes_supersub(FILE *fp,
+static void print_bbsizes_supersub(FILE                *fp,
                                    const nbnxn_search_t nbs,
-                                   const nbnxn_grid_t *grid)
+                                   const nbnxn_grid_t  *grid)
 {
-    int  ns,c,s;
+    int  ns, c, s;
     dvec ba;
 
     clear_dvec(ba);
     ns = 0;
-    for(c=0; c<grid->nc; c++)
+    for (c = 0; c < grid->nc; c++)
     {
 #ifdef NBNXN_BBXXXX
-        for(s=0; s<grid->nsubc[c]; s+=STRIDE_PBB)
+        for (s = 0; s < grid->nsubc[c]; s += STRIDE_PBB)
         {
-            int cs_w,i,d;
+            int cs_w, i, d;
 
             cs_w = (c*GPU_NSUBCELL + s)/STRIDE_PBB;
-            for(i=0; i<STRIDE_PBB; i++)
+            for (i = 0; i < STRIDE_PBB; i++)
             {
-                for(d=0; d<DIM; d++)
+                for (d = 0; d < DIM; d++)
                 {
                     ba[d] +=
-                        grid->bb[cs_w*NNBSBB_XXXX+(DIM+d)*STRIDE_PBB+i] -
-                        grid->bb[cs_w*NNBSBB_XXXX+     d *STRIDE_PBB+i];
+                        grid->pbb[cs_w*NNBSBB_XXXX+(DIM+d)*STRIDE_PBB+i] -
+                        grid->pbb[cs_w*NNBSBB_XXXX+     d *STRIDE_PBB+i];
                 }
             }
         }
 #else
-        for(s=0; s<grid->nsubc[c]; s++)
+        for (s = 0; s < grid->nsubc[c]; s++)
         {
-            int cs,d;
+            int cs, d;
 
             cs = c*GPU_NSUBCELL + s;
-            for(d=0; d<DIM; d++)
+            for (d = 0; d < DIM; d++)
             {
-                ba[d] +=
-                    grid->bb[cs*NNBSBB_B+NNBSBB_C+d] -
-                    grid->bb[cs*NNBSBB_B         +d];
+                ba[d] += grid->bb[cs].upper[d] - grid->bb[cs].lower[d];
             }
         }
 #endif
         ns += grid->nsubc[c];
     }
-    dsvmul(1.0/ns,ba,ba);
+    dsvmul(1.0/ns, ba, ba);
 
-    fprintf(fp,"ns bb: %4.2f %4.2f %4.2f  %4.2f %4.2f %4.2f rel %4.2f %4.2f %4.2f\n",
+    fprintf(fp, "ns bb: %4.2f %4.2f %4.2f  %4.2f %4.2f %4.2f rel %4.2f %4.2f %4.2f\n",
             nbs->box[XX][XX]/(grid->ncx*GPU_NSUBCELL_X),
             nbs->box[YY][YY]/(grid->ncy*GPU_NSUBCELL_Y),
             nbs->box[ZZ][ZZ]*grid->ncx*grid->ncy/(grid->nc*GPU_NSUBCELL_Z),
-            ba[XX],ba[YY],ba[ZZ],
+            ba[XX], ba[YY], ba[ZZ],
             ba[XX]*grid->ncx*GPU_NSUBCELL_X/nbs->box[XX][XX],
             ba[YY]*grid->ncy*GPU_NSUBCELL_Y/nbs->box[YY][YY],
             ba[ZZ]*grid->nc*GPU_NSUBCELL_Z/(grid->ncx*grid->ncy*nbs->box[ZZ][ZZ]));
@@ -1012,34 +1091,34 @@ static void print_bbsizes_supersub(FILE *fp,
 /* Potentially sorts atoms on LJ coefficients !=0 and ==0.
  * Also sets interaction flags.
  */
-void sort_on_lj(nbnxn_atomdata_t *nbat,int na_c,
-                int a0,int a1,const int *atinfo,
+void sort_on_lj(int na_c,
+                int a0, int a1, const int *atinfo,
                 int *order,
                 int *flags)
 {
-    int subc,s,a,n1,n2,a_lj_max,i,j;
-    int sort1[NBNXN_NA_SC_MAX/GPU_NSUBCELL];
-    int sort2[NBNXN_NA_SC_MAX/GPU_NSUBCELL];
-    gmx_bool haveQ;
+    int      subc, s, a, n1, n2, a_lj_max, i, j;
+    int      sort1[NBNXN_NA_SC_MAX/GPU_NSUBCELL];
+    int      sort2[NBNXN_NA_SC_MAX/GPU_NSUBCELL];
+    gmx_bool haveQ, bFEP;
 
     *flags = 0;
 
     subc = 0;
-    for(s=a0; s<a1; s+=na_c)
+    for (s = a0; s < a1; s += na_c)
     {
         /* Make lists for this (sub-)cell on atoms with and without LJ */
-        n1 = 0;
-        n2 = 0;
-        haveQ = FALSE;
+        n1       = 0;
+        n2       = 0;
+        haveQ    = FALSE;
         a_lj_max = -1;
-        for(a=s; a<min(s+na_c,a1); a++)
+        for (a = s; a < min(s+na_c, a1); a++)
         {
             haveQ = haveQ || GET_CGINFO_HAS_Q(atinfo[order[a]]);
 
             if (GET_CGINFO_HAS_VDW(atinfo[order[a]]))
             {
                 sort1[n1++] = order[a];
-                a_lj_max = a;
+                a_lj_max    = a;
             }
             else
             {
@@ -1047,7 +1126,7 @@ void sort_on_lj(nbnxn_atomdata_t *nbat,int na_c,
             }
         }
 
-        /* If we don't have atom with LJ, there's nothing to sort */
+        /* If we don't have atoms with LJ, there's nothing to sort */
         if (n1 > 0)
         {
             *flags |= NBNXN_CI_DO_LJ(subc);
@@ -1060,11 +1139,11 @@ void sort_on_lj(nbnxn_atomdata_t *nbat,int na_c,
                  */
                 if (2*(a_lj_max - s) >= na_c)
                 {
-                    for(i=0; i<n1; i++)
+                    for (i = 0; i < n1; i++)
                     {
                         order[a0+i] = sort1[i];
                     }
-                    for(j=0; j<n2; j++)
+                    for (j = 0; j < n2; j++)
                     {
                         order[a0+n1+j] = sort2[j];
                     }
@@ -1087,113 +1166,133 @@ void sort_on_lj(nbnxn_atomdata_t *nbat,int na_c,
 void fill_cell(const nbnxn_search_t nbs,
                nbnxn_grid_t *grid,
                nbnxn_atomdata_t *nbat,
-               int a0,int a1,
+               int a0, int a1,
                const int *atinfo,
                rvec *x,
-               int sx,int sy, int sz,
-               float *bb_work)
+               int sx, int sy, int sz,
+               nbnxn_bb_t gmx_unused *bb_work_aligned)
 {
-    int    na,a;
-    size_t offset;
-    float  *bb_ptr;
+    int         na, a;
+    size_t      offset;
+    nbnxn_bb_t *bb_ptr;
+#ifdef NBNXN_BBXXXX
+    float      *pbb_ptr;
+#endif
 
     na = a1 - a0;
 
     if (grid->bSimple)
     {
-        sort_on_lj(nbat,grid->na_c,a0,a1,atinfo,nbs->a,
+        sort_on_lj(grid->na_c, a0, a1, atinfo, nbs->a,
                    grid->flags+(a0>>grid->na_c_2log)-grid->cell0);
     }
 
+    if (nbs->bFEP)
+    {
+        /* Set the fep flag for perturbed atoms in this (sub-)cell */
+        int c, at;
+
+        /* The grid-local cluster/(sub-)cell index */
+        c            = (a0 >> grid->na_c_2log) - grid->cell0*(grid->bSimple ? 1 : GPU_NSUBCELL);
+        grid->fep[c] = 0;
+        for (at = a0; at < a1; at++)
+        {
+            if (nbs->a[at] >= 0 && GET_CGINFO_FEP(atinfo[nbs->a[at]]))
+            {
+                grid->fep[c] |= (1 << (at - a0));
+            }
+        }
+    }
+
     /* Now we have sorted the atoms, set the cell indices */
-    for(a=a0; a<a1; a++)
+    for (a = a0; a < a1; a++)
     {
         nbs->cell[nbs->a[a]] = a;
     }
 
-    copy_rvec_to_nbat_real(nbs->a+a0,a1-a0,grid->na_c,x,
-                           nbat->XFormat,nbat->x,a0,
-                           sx,sy,sz);
+    copy_rvec_to_nbat_real(nbs->a+a0, a1-a0, grid->na_c, x,
+                           nbat->XFormat, nbat->x, a0,
+                           sx, sy, sz);
 
     if (nbat->XFormat == nbatX4)
     {
         /* Store the bounding boxes as xyz.xyz. */
-        offset = ((a0 - grid->cell0*grid->na_sc)>>grid->na_c_2log)*NNBSBB_B;
+        offset = (a0 - grid->cell0*grid->na_sc) >> grid->na_c_2log;
         bb_ptr = grid->bb + offset;
 
-#if defined GMX_DOUBLE && defined NBNXN_SEARCH_BB_SSE
+#if defined GMX_NBNXN_SIMD && GMX_SIMD_REAL_WIDTH == 2
         if (2*grid->na_cj == grid->na_c)
         {
-            calc_bounding_box_x_x4_halves(na,nbat->x+X4_IND_A(a0),bb_ptr,
+            calc_bounding_box_x_x4_halves(na, nbat->x+X4_IND_A(a0), bb_ptr,
                                           grid->bbj+offset*2);
         }
         else
 #endif
         {
-            calc_bounding_box_x_x4(na,nbat->x+X4_IND_A(a0),bb_ptr);
+            calc_bounding_box_x_x4(na, nbat->x+X4_IND_A(a0), bb_ptr);
         }
     }
     else if (nbat->XFormat == nbatX8)
     {
         /* Store the bounding boxes as xyz.xyz. */
-        offset = ((a0 - grid->cell0*grid->na_sc)>>grid->na_c_2log)*NNBSBB_B;
+        offset = (a0 - grid->cell0*grid->na_sc) >> grid->na_c_2log;
         bb_ptr = grid->bb + offset;
 
-        calc_bounding_box_x_x8(na,nbat->x+X8_IND_A(a0),bb_ptr);
+        calc_bounding_box_x_x8(na, nbat->x+X8_IND_A(a0), bb_ptr);
     }
 #ifdef NBNXN_BBXXXX
     else if (!grid->bSimple)
     {
         /* Store the bounding boxes in a format convenient
-         * for SSE calculations: xxxxyyyyzzzz...
-                             */
-        bb_ptr =
-            grid->bb +
+         * for SIMD4 calculations: xxxxyyyyzzzz...
+         */
+        pbb_ptr =
+            grid->pbb +
             ((a0-grid->cell0*grid->na_sc)>>(grid->na_c_2log+STRIDE_PBB_2LOG))*NNBSBB_XXXX +
             (((a0-grid->cell0*grid->na_sc)>>grid->na_c_2log) & (STRIDE_PBB-1));
 
-#ifdef NBNXN_SEARCH_SSE_SINGLE
+#ifdef NBNXN_SEARCH_SIMD4_FLOAT_X_BB
         if (nbat->XFormat == nbatXYZQ)
         {
-            calc_bounding_box_xxxx_sse(na,nbat->x+a0*nbat->xstride,
-                                       bb_work,bb_ptr);
+            calc_bounding_box_xxxx_simd4(na, nbat->x+a0*nbat->xstride,
+                                         bb_work_aligned, pbb_ptr);
         }
         else
 #endif
         {
-            calc_bounding_box_xxxx(na,nbat->xstride,nbat->x+a0*nbat->xstride,
-                                   bb_ptr);
+            calc_bounding_box_xxxx(na, nbat->xstride, nbat->x+a0*nbat->xstride,
+                                   pbb_ptr);
         }
         if (gmx_debug_at)
         {
-            fprintf(debug,"%2d %2d %2d bb %5.2f %5.2f %5.2f %5.2f %5.2f %5.2f\n",
-                    sx,sy,sz,
-                    bb_ptr[0*STRIDE_PBB],bb_ptr[3*STRIDE_PBB],
-                    bb_ptr[1*STRIDE_PBB],bb_ptr[4*STRIDE_PBB],
-                    bb_ptr[2*STRIDE_PBB],bb_ptr[5*STRIDE_PBB]);
+            fprintf(debug, "%2d %2d %2d bb %5.2f %5.2f %5.2f %5.2f %5.2f %5.2f\n",
+                    sx, sy, sz,
+                    pbb_ptr[0*STRIDE_PBB], pbb_ptr[3*STRIDE_PBB],
+                    pbb_ptr[1*STRIDE_PBB], pbb_ptr[4*STRIDE_PBB],
+                    pbb_ptr[2*STRIDE_PBB], pbb_ptr[5*STRIDE_PBB]);
         }
     }
 #endif
     else
     {
         /* Store the bounding boxes as xyz.xyz. */
-        bb_ptr = grid->bb+((a0-grid->cell0*grid->na_sc)>>grid->na_c_2log)*NNBSBB_B;
+        bb_ptr = grid->bb+((a0-grid->cell0*grid->na_sc)>>grid->na_c_2log);
 
-        calc_bounding_box(na,nbat->xstride,nbat->x+a0*nbat->xstride,
+        calc_bounding_box(na, nbat->xstride, nbat->x+a0*nbat->xstride,
                           bb_ptr);
 
         if (gmx_debug_at)
         {
             int bbo;
             bbo = (a0 - grid->cell0*grid->na_sc)/grid->na_c;
-            fprintf(debug,"%2d %2d %2d bb %5.2f %5.2f %5.2f %5.2f %5.2f %5.2f\n",
-                    sx,sy,sz,
-                    (grid->bb+bbo*NNBSBB_B)[BBL_X],
-                    (grid->bb+bbo*NNBSBB_B)[BBU_X],
-                    (grid->bb+bbo*NNBSBB_B)[BBL_Y],
-                    (grid->bb+bbo*NNBSBB_B)[BBU_Y],
-                    (grid->bb+bbo*NNBSBB_B)[BBL_Z],
-                    (grid->bb+bbo*NNBSBB_B)[BBU_Z]);
+            fprintf(debug, "%2d %2d %2d bb %5.2f %5.2f %5.2f %5.2f %5.2f %5.2f\n",
+                    sx, sy, sz,
+                    grid->bb[bbo].lower[BB_X],
+                    grid->bb[bbo].lower[BB_Y],
+                    grid->bb[bbo].lower[BB_Z],
+                    grid->bb[bbo].upper[BB_X],
+                    grid->bb[bbo].upper[BB_Y],
+                    grid->bb[bbo].upper[BB_Z]);
         }
     }
 }
@@ -1202,26 +1301,26 @@ void fill_cell(const nbnxn_search_t nbs,
 static void sort_columns_simple(const nbnxn_search_t nbs,
                                 int dd_zone,
                                 nbnxn_grid_t *grid,
-                                int a0,int a1,
+                                int a0, int a1,
                                 const int *atinfo,
                                 rvec *x,
                                 nbnxn_atomdata_t *nbat,
-                                int cxy_start,int cxy_end,
+                                int cxy_start, int cxy_end,
                                 int *sort_work)
 {
     int  cxy;
-    int  cx,cy,cz,ncz,cfilled,c;
-    int  na,ash,ind,a;
-    int  na_c,ash_c;
+    int  cx, cy, cz, ncz, cfilled, c;
+    int  na, ash, ind, a;
+    int  na_c, ash_c;
 
     if (debug)
     {
-        fprintf(debug,"cell0 %d sorting columns %d - %d, atoms %d - %d\n",
-                grid->cell0,cxy_start,cxy_end,a0,a1);
+        fprintf(debug, "cell0 %d sorting columns %d - %d, atoms %d - %d\n",
+                grid->cell0, cxy_start, cxy_end, a0, a1);
     }
 
     /* Sort the atoms within each x,y column in 3 dimensions */
-    for(cxy=cxy_start; cxy<cxy_end; cxy++)
+    for (cxy = cxy_start; cxy < cxy_end; cxy++)
     {
         cx = cxy/grid->ncy;
         cy = cxy - cx*grid->ncy;
@@ -1231,23 +1330,23 @@ static void sort_columns_simple(const nbnxn_search_t nbs,
         ash = (grid->cell0 + grid->cxy_ind[cxy])*grid->na_sc;
 
         /* Sort the atoms within each x,y column on z coordinate */
-        sort_atoms(ZZ,FALSE,
-                   nbs->a+ash,na,x,
+        sort_atoms(ZZ, FALSE, dd_zone,
+                   nbs->a+ash, na, x,
                    grid->c0[ZZ],
-                   ncz*grid->na_sc*SORT_GRID_OVERSIZE/nbs->box[ZZ][ZZ],
-                   ncz*grid->na_sc*SGSF,sort_work);
+                   1.0/nbs->box[ZZ][ZZ], ncz*grid->na_sc,
+                   sort_work);
 
         /* Fill the ncz cells in this column */
         cfilled = grid->cxy_ind[cxy];
-        for(cz=0; cz<ncz; cz++)
+        for (cz = 0; cz < ncz; cz++)
         {
-            c  = grid->cxy_ind[cxy] + cz ;
+            c  = grid->cxy_ind[cxy] + cz;
 
             ash_c = ash + cz*grid->na_sc;
-            na_c  = min(grid->na_sc,na-(ash_c-ash));
+            na_c  = min(grid->na_sc, na-(ash_c-ash));
 
-            fill_cell(nbs,grid,nbat,
-                      ash_c,ash_c+na_c,atinfo,x,
+            fill_cell(nbs, grid, nbat,
+                      ash_c, ash_c+na_c, atinfo, x,
                       grid->na_sc*cx + (dd_zone >> 2),
                       grid->na_sc*cy + (dd_zone & 3),
                       grid->na_sc*cz,
@@ -1261,12 +1360,12 @@ static void sort_columns_simple(const nbnxn_search_t nbs,
             {
                 cfilled = c;
             }
-            grid->bbcz[c*NNBSBB_D  ] = grid->bb[cfilled*NNBSBB_B+2];
-            grid->bbcz[c*NNBSBB_D+1] = grid->bb[cfilled*NNBSBB_B+6];
+            grid->bbcz[c*NNBSBB_D  ] = grid->bb[cfilled].lower[BB_Z];
+            grid->bbcz[c*NNBSBB_D+1] = grid->bb[cfilled].upper[BB_Z];
         }
 
         /* Set the unused atom indices to -1 */
-        for(ind=na; ind<ncz*grid->na_sc; ind++)
+        for (ind = na; ind < ncz*grid->na_sc; ind++)
         {
             nbs->a[ash+ind] = -1;
         }
@@ -1277,29 +1376,28 @@ static void sort_columns_simple(const nbnxn_search_t nbs,
 static void sort_columns_supersub(const nbnxn_search_t nbs,
                                   int dd_zone,
                                   nbnxn_grid_t *grid,
-                                  int a0,int a1,
+                                  int a0, int a1,
                                   const int *atinfo,
                                   rvec *x,
                                   nbnxn_atomdata_t *nbat,
-                                  int cxy_start,int cxy_end,
+                                  int cxy_start, int cxy_end,
                                   int *sort_work)
 {
-    int  cxy;
-    int  cx,cy,cz=-1,c=-1,ncz;
-    int  na,ash,na_c,ind,a;
-    int  subdiv_z,sub_z,na_z,ash_z;
-    int  subdiv_y,sub_y,na_y,ash_y;
-    int  subdiv_x,sub_x,na_x,ash_x;
+    int        cxy;
+    int        cx, cy, cz = -1, c = -1, ncz;
+    int        na, ash, na_c, ind, a;
+    int        subdiv_z, sub_z, na_z, ash_z;
+    int        subdiv_y, sub_y, na_y, ash_y;
+    int        subdiv_x, sub_x, na_x, ash_x;
 
-    /* cppcheck-suppress unassignedVariable */
-    float bb_work_array[NNBSBB_B+3],*bb_work_align;
+    nbnxn_bb_t bb_work_array[2], *bb_work_aligned;
 
-    bb_work_align = (float *)(((size_t)(bb_work_array+3)) & (~((size_t)15)));
+    bb_work_aligned = (nbnxn_bb_t *)(((size_t)(bb_work_array+1)) & (~((size_t)15)));
 
     if (debug)
     {
-        fprintf(debug,"cell0 %d sorting columns %d - %d, atoms %d - %d\n",
-                grid->cell0,cxy_start,cxy_end,a0,a1);
+        fprintf(debug, "cell0 %d sorting columns %d - %d, atoms %d - %d\n",
+                grid->cell0, cxy_start, cxy_end, a0, a1);
     }
 
     subdiv_x = grid->na_c;
@@ -1307,7 +1405,7 @@ static void sort_columns_supersub(const nbnxn_search_t nbs,
     subdiv_z = GPU_NSUBCELL_Y*subdiv_y;
 
     /* Sort the atoms within each x,y column in 3 dimensions */
-    for(cxy=cxy_start; cxy<cxy_end; cxy++)
+    for (cxy = cxy_start; cxy < cxy_end; cxy++)
     {
         cx = cxy/grid->ncy;
         cy = cxy - cx*grid->ncy;
@@ -1317,29 +1415,29 @@ static void sort_columns_supersub(const nbnxn_search_t nbs,
         ash = (grid->cell0 + grid->cxy_ind[cxy])*grid->na_sc;
 
         /* Sort the atoms within each x,y column on z coordinate */
-        sort_atoms(ZZ,FALSE,
-                   nbs->a+ash,na,x,
+        sort_atoms(ZZ, FALSE, dd_zone,
+                   nbs->a+ash, na, x,
                    grid->c0[ZZ],
-                   ncz*grid->na_sc*SORT_GRID_OVERSIZE/nbs->box[ZZ][ZZ],
-                   ncz*grid->na_sc*SGSF,sort_work);
+                   1.0/nbs->box[ZZ][ZZ], ncz*grid->na_sc,
+                   sort_work);
 
         /* This loop goes over the supercells and subcells along z at once */
-        for(sub_z=0; sub_z<ncz*GPU_NSUBCELL_Z; sub_z++)
+        for (sub_z = 0; sub_z < ncz*GPU_NSUBCELL_Z; sub_z++)
         {
             ash_z = ash + sub_z*subdiv_z;
-            na_z  = min(subdiv_z,na-(ash_z-ash));
+            na_z  = min(subdiv_z, na-(ash_z-ash));
 
             /* We have already sorted on z */
 
             if (sub_z % GPU_NSUBCELL_Z == 0)
             {
                 cz = sub_z/GPU_NSUBCELL_Z;
-                c  = grid->cxy_ind[cxy] + cz ;
+                c  = grid->cxy_ind[cxy] + cz;
 
                 /* The number of atoms in this supercell */
-                na_c = min(grid->na_sc,na-(ash_z-ash));
+                na_c = min(grid->na_sc, na-(ash_z-ash));
 
-                grid->nsubc[c] = min(GPU_NSUBCELL,(na_c+grid->na_c-1)/grid->na_c);
+                grid->nsubc[c] = min(GPU_NSUBCELL, (na_c+grid->na_c-1)/grid->na_c);
 
                 /* Store the z-boundaries of the super cell */
                 grid->bbcz[c*NNBSBB_D  ] = x[nbs->a[ash_z]][ZZ];
@@ -1348,42 +1446,44 @@ static void sort_columns_supersub(const nbnxn_search_t nbs,
 
 #if GPU_NSUBCELL_Y > 1
             /* Sort the atoms along y */
-            sort_atoms(YY,(sub_z & 1),
-                       nbs->a+ash_z,na_z,x,
-                       grid->c0[YY]+cy*grid->sy,grid->inv_sy,
-                       subdiv_y*SGSF,sort_work);
+            sort_atoms(YY, (sub_z & 1), dd_zone,
+                       nbs->a+ash_z, na_z, x,
+                       grid->c0[YY]+cy*grid->sy,
+                       grid->inv_sy, subdiv_z,
+                       sort_work);
 #endif
 
-            for(sub_y=0; sub_y<GPU_NSUBCELL_Y; sub_y++)
+            for (sub_y = 0; sub_y < GPU_NSUBCELL_Y; sub_y++)
             {
                 ash_y = ash_z + sub_y*subdiv_y;
-                na_y  = min(subdiv_y,na-(ash_y-ash));
+                na_y  = min(subdiv_y, na-(ash_y-ash));
 
 #if GPU_NSUBCELL_X > 1
                 /* Sort the atoms along x */
-                sort_atoms(XX,((cz*GPU_NSUBCELL_Y + sub_y) & 1),
-                           nbs->a+ash_y,na_y,x,
-                           grid->c0[XX]+cx*grid->sx,grid->inv_sx,
-                           subdiv_x*SGSF,sort_work);
+                sort_atoms(XX, ((cz*GPU_NSUBCELL_Y + sub_y) & 1), dd_zone,
+                           nbs->a+ash_y, na_y, x,
+                           grid->c0[XX]+cx*grid->sx,
+                           grid->inv_sx, subdiv_y,
+                           sort_work);
 #endif
 
-                for(sub_x=0; sub_x<GPU_NSUBCELL_X; sub_x++)
+                for (sub_x = 0; sub_x < GPU_NSUBCELL_X; sub_x++)
                 {
                     ash_x = ash_y + sub_x*subdiv_x;
-                    na_x  = min(subdiv_x,na-(ash_x-ash));
+                    na_x  = min(subdiv_x, na-(ash_x-ash));
 
-                    fill_cell(nbs,grid,nbat,
-                              ash_x,ash_x+na_x,atinfo,x,
+                    fill_cell(nbs, grid, nbat,
+                              ash_x, ash_x+na_x, atinfo, x,
                               grid->na_c*(cx*GPU_NSUBCELL_X+sub_x) + (dd_zone >> 2),
                               grid->na_c*(cy*GPU_NSUBCELL_Y+sub_y) + (dd_zone & 3),
                               grid->na_c*sub_z,
-                              bb_work_align);
+                              bb_work_aligned);
                 }
             }
         }
 
         /* Set the unused atom indices to -1 */
-        for(ind=na; ind<ncz*grid->na_sc; ind++)
+        for (ind = na; ind < ncz*grid->na_sc; ind++)
         {
             nbs->a[ash+ind] = -1;
         }
@@ -1392,18 +1492,18 @@ static void sort_columns_supersub(const nbnxn_search_t nbs,
 
 /* Determine in which grid column atoms should go */
 static void calc_column_indices(nbnxn_grid_t *grid,
-                                int a0,int a1,
+                                int a0, int a1,
                                 rvec *x,
-                                int dd_zone,const int *move,
-                                int thread,int nthread,
+                                int dd_zone, const int *move,
+                                int thread, int nthread,
                                 int *cell,
                                 int *cxy_na)
 {
-    int  n0,n1,i;
-    int  cx,cy;
+    int  n0, n1, i;
+    int  cx, cy;
 
     /* We add one extra cell for particles which moved during DD */
-    for(i=0; i<grid->ncx*grid->ncy+1; i++)
+    for (i = 0; i < grid->ncx*grid->ncy+1; i++)
     {
         cxy_na[i] = 0;
     }
@@ -1413,7 +1513,7 @@ static void calc_column_indices(nbnxn_grid_t *grid,
     if (dd_zone == 0)
     {
         /* Home zone */
-        for(i=n0; i<n1; i++)
+        for (i = n0; i < n1; i++)
         {
             if (move == NULL || move[i] >= 0)
             {
@@ -1425,20 +1525,20 @@ static void calc_column_indices(nbnxn_grid_t *grid,
                 cx = (int)((x[i][XX] - grid->c0[XX])*grid->inv_sx);
                 cy = (int)((x[i][YY] - grid->c0[YY])*grid->inv_sy);
 
-#ifdef DEBUG_NBNXN_GRIDDING
-                if (cx < 0 || cx >= grid->ncx ||
-                    cy < 0 || cy >= grid->ncy)
+#ifndef NDEBUG
+                if (cx < 0 || cx > grid->ncx ||
+                    cy < 0 || cy > grid->ncy)
                 {
                     gmx_fatal(FARGS,
                               "grid cell cx %d cy %d out of range (max %d %d)\n"
                               "atom %f %f %f, grid->c0 %f %f",
-                              cx,cy,grid->ncx,grid->ncy,
-                              x[i][XX],x[i][YY],x[i][ZZ],grid->c0[XX],grid->c0[YY]);
+                              cx, cy, grid->ncx, grid->ncy,
+                              x[i][XX], x[i][YY], x[i][ZZ], grid->c0[XX], grid->c0[YY]);
                 }
 #endif
                 /* Take care of potential rouding issues */
-                cx = min(cx,grid->ncx - 1);
-                cy = min(cy,grid->ncy - 1);
+                cx = min(cx, grid->ncx - 1);
+                cy = min(cy, grid->ncy - 1);
 
                 /* For the moment cell will contain only the, grid local,
                  * x and y indices, not z.
@@ -1459,7 +1559,7 @@ static void calc_column_indices(nbnxn_grid_t *grid,
     else
     {
         /* Non-home zone */
-        for(i=n0; i<n1; i++)
+        for (i = n0; i < n1; i++)
         {
             cx = (int)((x[i][XX] - grid->c0[XX])*grid->inv_sx);
             cy = (int)((x[i][YY] - grid->c0[YY])*grid->inv_sy);
@@ -1470,10 +1570,10 @@ static void calc_column_indices(nbnxn_grid_t *grid,
              * matter where these end up on the grid. For performance
              * we put them in an extra row at the border.
              */
-            cx = max(cx,0);
-            cx = min(cx,grid->ncx - 1);
-            cy = max(cy,0);
-            cy = min(cy,grid->ncy - 1);
+            cx = max(cx, 0);
+            cx = min(cx, grid->ncx - 1);
+            cy = max(cy, 0);
+            cy = min(cy, grid->ncy - 1);
 
             /* For the moment cell will contain only the, grid local,
              * x and y indices, not z.
@@ -1489,31 +1589,31 @@ static void calc_column_indices(nbnxn_grid_t *grid,
 static void calc_cell_indices(const nbnxn_search_t nbs,
                               int dd_zone,
                               nbnxn_grid_t *grid,
-                              int a0,int a1,
+                              int a0, int a1,
                               const int *atinfo,
                               rvec *x,
                               const int *move,
                               nbnxn_atomdata_t *nbat)
 {
-    int  n0,n1,i;
-    int  cx,cy,cxy,ncz_max,ncz;
-    int  nthread,thread;
-    int  *cxy_na,cxy_na_i;
+    int   n0, n1, i;
+    int   cx, cy, cxy, ncz_max, ncz;
+    int   nthread, thread;
+    int  *cxy_na, cxy_na_i;
 
     nthread = gmx_omp_nthreads_get(emntPairsearch);
 
 #pragma omp parallel for num_threads(nthread) schedule(static)
-    for(thread=0; thread<nthread; thread++)
+    for (thread = 0; thread < nthread; thread++)
     {
-        calc_column_indices(grid,a0,a1,x,dd_zone,move,thread,nthread,
-                            nbs->cell,nbs->work[thread].cxy_na);
+        calc_column_indices(grid, a0, a1, x, dd_zone, move, thread, nthread,
+                            nbs->cell, nbs->work[thread].cxy_na);
     }
 
     /* Make the cell index as a function of x and y */
-    ncz_max = 0;
-    ncz = 0;
+    ncz_max          = 0;
+    ncz              = 0;
     grid->cxy_ind[0] = 0;
-    for(i=0; i<grid->ncx*grid->ncy+1; i++)
+    for (i = 0; i < grid->ncx*grid->ncy+1; i++)
     {
         /* We set ncz_max at the beginning of the loop iso at the end
          * to skip i=grid->ncx*grid->ncy which are moved particles
@@ -1524,7 +1624,7 @@ static void calc_cell_indices(const nbnxn_search_t nbs,
             ncz_max = ncz;
         }
         cxy_na_i = nbs->work[0].cxy_na[i];
-        for(thread=1; thread<nthread; thread++)
+        for (thread = 1; thread < nthread; thread++)
         {
             cxy_na_i += nbs->work[thread].cxy_na[i];
         }
@@ -1544,21 +1644,21 @@ static void calc_cell_indices(const nbnxn_search_t nbs,
 
     if (debug)
     {
-        fprintf(debug,"ns na_sc %d na_c %d super-cells: %d x %d y %d z %.1f maxz %d\n",
-                grid->na_sc,grid->na_c,grid->nc,
-                grid->ncx,grid->ncy,grid->nc/((double)(grid->ncx*grid->ncy)),
+        fprintf(debug, "ns na_sc %d na_c %d super-cells: %d x %d y %d z %.1f maxz %d\n",
+                grid->na_sc, grid->na_c, grid->nc,
+                grid->ncx, grid->ncy, grid->nc/((double)(grid->ncx*grid->ncy)),
                 ncz_max);
         if (gmx_debug_at)
         {
             i = 0;
-            for(cy=0; cy<grid->ncy; cy++)
+            for (cy = 0; cy < grid->ncy; cy++)
             {
-                for(cx=0; cx<grid->ncx; cx++)
+                for (cx = 0; cx < grid->ncx; cx++)
                 {
-                    fprintf(debug," %2d",grid->cxy_ind[i+1]-grid->cxy_ind[i]);
+                    fprintf(debug, " %2d", grid->cxy_ind[i+1]-grid->cxy_ind[i]);
                     i++;
                 }
-                fprintf(debug,"\n");
+                fprintf(debug, "\n");
             }
         }
     }
@@ -1566,14 +1666,14 @@ static void calc_cell_indices(const nbnxn_search_t nbs,
     /* Make sure the work array for sorting is large enough */
     if (ncz_max*grid->na_sc*SGSF > nbs->work[0].sort_work_nalloc)
     {
-        for(thread=0; thread<nbs->nthread_max; thread++)
+        for (thread = 0; thread < nbs->nthread_max; thread++)
         {
             nbs->work[thread].sort_work_nalloc =
                 over_alloc_large(ncz_max*grid->na_sc*SGSF);
             srenew(nbs->work[thread].sort_work,
                    nbs->work[thread].sort_work_nalloc);
             /* When not in use, all elements should be -1 */
-            for(i=0; i<nbs->work[thread].sort_work_nalloc; i++)
+            for (i = 0; i < nbs->work[thread].sort_work_nalloc; i++)
             {
                 nbs->work[thread].sort_work[i] = -1;
             }
@@ -1583,7 +1683,7 @@ static void calc_cell_indices(const nbnxn_search_t nbs,
     /* Now we know the dimensions we can fill the grid.
      * This is the first, unsorted fill. We sort the columns after this.
      */
-    for(i=a0; i<a1; i++)
+    for (i = a0; i < a1; i++)
     {
         /* At this point nbs->cell contains the local grid x,y indices */
         cxy = nbs->cell[i];
@@ -1597,7 +1697,7 @@ static void calc_cell_indices(const nbnxn_search_t nbs,
         n1 = grid->nc*grid->na_sc+grid->cxy_na[grid->ncx*grid->ncy];
         if (dd_zone == 0)
         {
-            for(i=n0; i<n1; i++)
+            for (i = n0; i < n1; i++)
             {
                 nbs->cell[nbs->a[i]] = i;
             }
@@ -1605,36 +1705,34 @@ static void calc_cell_indices(const nbnxn_search_t nbs,
     }
 
     /* Sort the super-cell columns along z into the sub-cells. */
-#pragma omp parallel for num_threads(nbs->nthread_max) schedule(static)
-    for(thread=0; thread<nbs->nthread_max; thread++)
+#pragma omp parallel for num_threads(nthread) schedule(static)
+    for (thread = 0; thread < nthread; thread++)
     {
         if (grid->bSimple)
         {
-            sort_columns_simple(nbs,dd_zone,grid,a0,a1,atinfo,x,nbat,
+            sort_columns_simple(nbs, dd_zone, grid, a0, a1, atinfo, x, nbat,
                                 ((thread+0)*grid->ncx*grid->ncy)/nthread,
                                 ((thread+1)*grid->ncx*grid->ncy)/nthread,
                                 nbs->work[thread].sort_work);
         }
         else
         {
-            sort_columns_supersub(nbs,dd_zone,grid,a0,a1,atinfo,x,nbat,
+            sort_columns_supersub(nbs, dd_zone, grid, a0, a1, atinfo, x, nbat,
                                   ((thread+0)*grid->ncx*grid->ncy)/nthread,
                                   ((thread+1)*grid->ncx*grid->ncy)/nthread,
                                   nbs->work[thread].sort_work);
         }
     }
 
-#ifdef NBNXN_SEARCH_BB_SSE
     if (grid->bSimple && nbat->XFormat == nbatX8)
     {
-        combine_bounding_box_pairs(grid,grid->bb);
+        combine_bounding_box_pairs(grid, grid->bb);
     }
-#endif
 
     if (!grid->bSimple)
     {
         grid->nsubc_tot = 0;
-        for(i=0; i<grid->nc; i++)
+        for (i = 0; i < grid->nc; i++)
         {
             grid->nsubc_tot += grid->nsubc[i];
         }
@@ -1644,20 +1742,20 @@ static void calc_cell_indices(const nbnxn_search_t nbs,
     {
         if (grid->bSimple)
         {
-            print_bbsizes_simple(debug,nbs,grid);
+            print_bbsizes_simple(debug, nbs, grid);
         }
         else
         {
-            fprintf(debug,"ns non-zero sub-cells: %d average atoms %.2f\n",
-                    grid->nsubc_tot,(a1-a0)/(double)grid->nsubc_tot);
+            fprintf(debug, "ns non-zero sub-cells: %d average atoms %.2f\n",
+                    grid->nsubc_tot, (a1-a0)/(double)grid->nsubc_tot);
 
-            print_bbsizes_supersub(debug,nbs,grid);
+            print_bbsizes_supersub(debug, nbs, grid);
         }
     }
 }
 
 static void init_buffer_flags(nbnxn_buffer_flags_t *flags,
-                              int natoms)
+                              int                   natoms)
 {
     int b;
 
@@ -1665,9 +1763,9 @@ static void init_buffer_flags(nbnxn_buffer_flags_t *flags,
     if (flags->nflag > flags->flag_nalloc)
     {
         flags->flag_nalloc = over_alloc_large(flags->nflag);
-        srenew(flags->flag,flags->flag_nalloc);
+        srenew(flags->flag, flags->flag_nalloc);
     }
-    for(b=0; b<flags->nflag; b++)
+    for (b = 0; b < flags->nflag; b++)
     {
         flags->flag[b] = 0;
     }
@@ -1678,20 +1776,20 @@ static void init_buffer_flags(nbnxn_buffer_flags_t *flags,
  * Note that without domain decomposition there is only one domain.
  */
 void nbnxn_put_on_grid(nbnxn_search_t nbs,
-                       int ePBC,matrix box,
+                       int ePBC, matrix box,
                        int dd_zone,
-                       rvec corner0,rvec corner1,
-                       int a0,int a1,
+                       rvec corner0, rvec corner1,
+                       int a0, int a1,
                        real atom_density,
                        const int *atinfo,
                        rvec *x,
-                       int nmoved,int *move,
+                       int nmoved, int *move,
                        int nb_kernel_type,
                        nbnxn_atomdata_t *nbat)
 {
     nbnxn_grid_t *grid;
-    int n;
-    int nc_max_grid,nc_max;
+    int           n;
+    int           nc_max_grid, nc_max;
 
     grid = &nbs->grid[dd_zone];
 
@@ -1722,15 +1820,16 @@ void nbnxn_put_on_grid(nbnxn_search_t nbs,
     if (dd_zone == 0)
     {
         nbs->ePBC = ePBC;
-        copy_mat(box,nbs->box);
+        copy_mat(box, nbs->box);
 
-        if (atom_density >= 0)
+        /* Avoid zero density */
+        if (atom_density > 0)
         {
             grid->atom_density = atom_density;
         }
         else
         {
-            grid->atom_density = grid_atom_density(n-nmoved,corner0,corner1);
+            grid->atom_density = grid_atom_density(n-nmoved, corner0, corner1);
         }
 
         grid->cell0 = 0;
@@ -1740,23 +1839,31 @@ void nbnxn_put_on_grid(nbnxn_search_t nbs,
          * for the local atoms (dd_zone=0).
          */
         nbs->natoms_nonlocal = a1 - nmoved;
+
+        if (debug)
+        {
+            fprintf(debug, "natoms_local = %5d atom_density = %5.1f\n",
+                    nbs->natoms_local, grid->atom_density);
+        }
     }
     else
     {
-        nbs->natoms_nonlocal = max(nbs->natoms_nonlocal,a1);
+        nbs->natoms_nonlocal = max(nbs->natoms_nonlocal, a1);
     }
 
-    nc_max_grid = set_grid_size_xy(nbs,grid,
-                                   dd_zone,n-nmoved,corner0,corner1,
-                                   nbs->grid[0].atom_density,
-                                   nbat->XFormat);
+    /* We always use the home zone (grid[0]) for setting the cell size,
+     * since determining densities for non-local zones is difficult.
+     */
+    nc_max_grid = set_grid_size_xy(nbs, grid,
+                                   dd_zone, n-nmoved, corner0, corner1,
+                                   nbs->grid[0].atom_density);
 
     nc_max = grid->cell0 + nc_max_grid;
 
     if (a1 > nbs->cell_nalloc)
     {
         nbs->cell_nalloc = over_alloc_large(a1);
-        srenew(nbs->cell,nbs->cell_nalloc);
+        srenew(nbs->cell, nbs->cell_nalloc);
     }
 
     /* To avoid conditionals we store the moved particles at the end of a,
@@ -1765,16 +1872,16 @@ void nbnxn_put_on_grid(nbnxn_search_t nbs,
     if (nc_max*grid->na_sc + nmoved > nbs->a_nalloc)
     {
         nbs->a_nalloc = over_alloc_large(nc_max*grid->na_sc + nmoved);
-        srenew(nbs->a,nbs->a_nalloc);
+        srenew(nbs->a, nbs->a_nalloc);
     }
 
     /* We need padding up to a multiple of the buffer flag size: simply add */
     if (nc_max*grid->na_sc + NBNXN_BUFFERFLAG_SIZE > nbat->nalloc)
     {
-        nbnxn_atomdata_realloc(nbat,nc_max*grid->na_sc+NBNXN_BUFFERFLAG_SIZE);
+        nbnxn_atomdata_realloc(nbat, nc_max*grid->na_sc+NBNXN_BUFFERFLAG_SIZE);
     }
 
-    calc_cell_indices(nbs,dd_zone,grid,a0,a1,atinfo,x,move,nbat);
+    calc_cell_indices(nbs, dd_zone, grid, a0, a1, atinfo, x, move, nbat);
 
     if (dd_zone == 0)
     {
@@ -1785,44 +1892,45 @@ void nbnxn_put_on_grid(nbnxn_search_t nbs,
 }
 
 /* Calls nbnxn_put_on_grid for all non-local domains */
-void nbnxn_put_on_grid_nonlocal(nbnxn_search_t nbs,
+void nbnxn_put_on_grid_nonlocal(nbnxn_search_t            nbs,
                                 const gmx_domdec_zones_t *zones,
-                                const int *atinfo,
-                                rvec *x,
-                                int nb_kernel_type,
-                                nbnxn_atomdata_t *nbat)
+                                const int                *atinfo,
+                                rvec                     *x,
+                                int                       nb_kernel_type,
+                                nbnxn_atomdata_t         *nbat)
 {
-    int  zone,d;
-    rvec c0,c1;
+    int  zone, d;
+    rvec c0, c1;
 
-    for(zone=1; zone<zones->n; zone++)
+    for (zone = 1; zone < zones->n; zone++)
     {
-        for(d=0; d<DIM; d++)
+        for (d = 0; d < DIM; d++)
         {
             c0[d] = zones->size[zone].bb_x0[d];
             c1[d] = zones->size[zone].bb_x1[d];
         }
 
-        nbnxn_put_on_grid(nbs,nbs->ePBC,NULL,
-                          zone,c0,c1,
+        nbnxn_put_on_grid(nbs, nbs->ePBC, NULL,
+                          zone, c0, c1,
                           zones->cg_range[zone],
                           zones->cg_range[zone+1],
                           -1,
                           atinfo,
                           x,
-                          0,NULL,
+                          0, NULL,
                           nb_kernel_type,
                           nbat);
     }
 }
 
 /* Add simple grid type information to the local super/sub grid */
-void nbnxn_grid_add_simple(nbnxn_search_t nbs,
+void nbnxn_grid_add_simple(nbnxn_search_t    nbs,
                            nbnxn_atomdata_t *nbat)
 {
     nbnxn_grid_t *grid;
-    float *bbcz,*bb;
-    int ncd,sc;
+    float        *bbcz;
+    nbnxn_bb_t   *bb;
+    int           ncd, sc;
 
     grid = &nbs->grid[0];
 
@@ -1836,13 +1944,13 @@ void nbnxn_grid_add_simple(nbnxn_search_t nbs,
     if (grid->nc*ncd > grid->nc_nalloc_simple)
     {
         grid->nc_nalloc_simple = over_alloc_large(grid->nc*ncd);
-        srenew(grid->bbcz_simple,grid->nc_nalloc_simple*NNBSBB_D);
-        srenew(grid->bb_simple,grid->nc_nalloc_simple*NNBSBB_B);
-        srenew(grid->flags_simple,grid->nc_nalloc_simple);
+        srenew(grid->bbcz_simple, grid->nc_nalloc_simple*NNBSBB_D);
+        srenew(grid->bb_simple, grid->nc_nalloc_simple);
+        srenew(grid->flags_simple, grid->nc_nalloc_simple);
         if (nbat->XFormat)
         {
             sfree_aligned(grid->bbj);
-            snew_aligned(grid->bbj,grid->nc_nalloc_simple/2,16);
+            snew_aligned(grid->bbj, grid->nc_nalloc_simple/2, 16);
         }
     }
 
@@ -1850,11 +1958,11 @@ void nbnxn_grid_add_simple(nbnxn_search_t nbs,
     bb   = grid->bb_simple;
 
 #pragma omp parallel for num_threads(gmx_omp_nthreads_get(emntPairsearch)) schedule(static)
-    for(sc=0; sc<grid->nc; sc++)
+    for (sc = 0; sc < grid->nc; sc++)
     {
-        int c,tx,na;
+        int c, tx, na;
 
-        for(c=0; c<ncd; c++)
+        for (c = 0; c < ncd; c++)
         {
             tx = sc*ncd + c;
 
@@ -1869,24 +1977,24 @@ void nbnxn_grid_add_simple(nbnxn_search_t nbs,
             {
                 switch (nbat->XFormat)
                 {
-                case nbatX4:
-                    /* PACK_X4==NBNXN_CPU_CLUSTER_I_SIZE, so this is simple */
-                    calc_bounding_box_x_x4(na,nbat->x+tx*STRIDE_P4,
-                                           bb+tx*NNBSBB_B);
-                    break;
-                case nbatX8:
-                    /* PACK_X8>NBNXN_CPU_CLUSTER_I_SIZE, more complicated */
-                    calc_bounding_box_x_x8(na,nbat->x+X8_IND_A(tx*NBNXN_CPU_CLUSTER_I_SIZE),
-                                           bb+tx*NNBSBB_B);
-                    break;
-                default:
-                    calc_bounding_box(na,nbat->xstride,
-                                      nbat->x+tx*NBNXN_CPU_CLUSTER_I_SIZE*nbat->xstride,
-                                      bb+tx*NNBSBB_B);
-                    break;
+                    case nbatX4:
+                        /* PACK_X4==NBNXN_CPU_CLUSTER_I_SIZE, so this is simple */
+                        calc_bounding_box_x_x4(na, nbat->x+tx*STRIDE_P4,
+                                               bb+tx);
+                        break;
+                    case nbatX8:
+                        /* PACK_X8>NBNXN_CPU_CLUSTER_I_SIZE, more complicated */
+                        calc_bounding_box_x_x8(na, nbat->x+X8_IND_A(tx*NBNXN_CPU_CLUSTER_I_SIZE),
+                                               bb+tx);
+                        break;
+                    default:
+                        calc_bounding_box(na, nbat->xstride,
+                                          nbat->x+tx*NBNXN_CPU_CLUSTER_I_SIZE*nbat->xstride,
+                                          bb+tx);
+                        break;
                 }
-                bbcz[tx*NNBSBB_D+0] = bb[tx*NNBSBB_B         +ZZ];
-                bbcz[tx*NNBSBB_D+1] = bb[tx*NNBSBB_B+NNBSBB_C+ZZ];
+                bbcz[tx*NNBSBB_D+0] = bb[tx].lower[BB_Z];
+                bbcz[tx*NNBSBB_D+1] = bb[tx].upper[BB_Z];
 
                 /* No interaction optimization yet here */
                 grid->flags_simple[tx] = NBNXN_CI_DO_LJ(0) | NBNXN_CI_DO_COUL(0);
@@ -1898,21 +2006,19 @@ void nbnxn_grid_add_simple(nbnxn_search_t nbs,
         }
     }
 
-#ifdef NBNXN_SEARCH_BB_SSE
     if (grid->bSimple && nbat->XFormat == nbatX8)
     {
-        combine_bounding_box_pairs(grid,grid->bb_simple);
+        combine_bounding_box_pairs(grid, grid->bb_simple);
     }
-#endif
 }
 
-void nbnxn_get_ncells(nbnxn_search_t nbs,int *ncx,int *ncy)
+void nbnxn_get_ncells(nbnxn_search_t nbs, int *ncx, int *ncy)
 {
     *ncx = nbs->grid[0].ncx;
     *ncy = nbs->grid[0].ncy;
 }
 
-void nbnxn_get_atomorder(nbnxn_search_t nbs,int **a,int *n)
+void nbnxn_get_atomorder(nbnxn_search_t nbs, int **a, int *n)
 {
     const nbnxn_grid_t *grid;
 
@@ -1927,19 +2033,19 @@ void nbnxn_get_atomorder(nbnxn_search_t nbs,int **a,int *n)
 void nbnxn_set_atomorder(nbnxn_search_t nbs)
 {
     nbnxn_grid_t *grid;
-    int ao,cx,cy,cxy,cz,j;
+    int           ao, cx, cy, cxy, cz, j;
 
     /* Set the atom order for the home cell (index 0) */
     grid = &nbs->grid[0];
 
     ao = 0;
-    for(cx=0; cx<grid->ncx; cx++)
+    for (cx = 0; cx < grid->ncx; cx++)
     {
-        for(cy=0; cy<grid->ncy; cy++)
+        for (cy = 0; cy < grid->ncy; cy++)
         {
             cxy = cx*grid->ncy + cy;
             j   = grid->cxy_ind[cxy]*grid->na_sc;
-            for(cz=0; cz<grid->cxy_na[cxy]; cz++)
+            for (cz = 0; cz < grid->cxy_na[cxy]; cz++)
             {
                 nbs->a[j]     = ao;
                 nbs->cell[ao] = j;
@@ -1953,18 +2059,18 @@ void nbnxn_set_atomorder(nbnxn_search_t nbs)
 /* Determines the cell range along one dimension that
  * the bounding box b0 - b1 sees.
  */
-static void get_cell_range(real b0,real b1,
-                           int nc,real c0,real s,real invs,
-                           real d2,real r2,int *cf,int *cl)
+static void get_cell_range(real b0, real b1,
+                           int nc, real c0, real s, real invs,
+                           real d2, real r2, int *cf, int *cl)
 {
-    *cf = max((int)((b0 - c0)*invs),0);
+    *cf = max((int)((b0 - c0)*invs), 0);
 
     while (*cf > 0 && d2 + sqr((b0 - c0) - (*cf-1+1)*s) < r2)
     {
         (*cf)--;
     }
 
-    *cl = min((int)((b1 - c0)*invs),nc-1);
+    *cl = min((int)((b1 - c0)*invs), nc-1);
     while (*cl < nc-1 && d2 + sqr((*cl+1)*s - (b1 - c0)) < r2)
     {
         (*cl)++;
@@ -1972,226 +2078,200 @@ static void get_cell_range(real b0,real b1,
 }
 
 /* Reference code calculating the distance^2 between two bounding boxes */
-static float box_dist2(float bx0,float bx1,float by0,
-                       float by1,float bz0,float bz1,
-                       const float *bb)
+static float box_dist2(float bx0, float bx1, float by0,
+                       float by1, float bz0, float bz1,
+                       const nbnxn_bb_t *bb)
 {
     float d2;
-    float dl,dh,dm,dm0;
+    float dl, dh, dm, dm0;
 
     d2 = 0;
 
-    dl  = bx0 - bb[BBU_X];
-    dh  = bb[BBL_X] - bx1;
-    dm  = max(dl,dh);
-    dm0 = max(dm,0);
+    dl  = bx0 - bb->upper[BB_X];
+    dh  = bb->lower[BB_X] - bx1;
+    dm  = max(dl, dh);
+    dm0 = max(dm, 0);
     d2 += dm0*dm0;
 
-    dl  = by0 - bb[BBU_Y];
-    dh  = bb[BBL_Y] - by1;
-    dm  = max(dl,dh);
-    dm0 = max(dm,0);
+    dl  = by0 - bb->upper[BB_Y];
+    dh  = bb->lower[BB_Y] - by1;
+    dm  = max(dl, dh);
+    dm0 = max(dm, 0);
     d2 += dm0*dm0;
 
-    dl  = bz0 - bb[BBU_Z];
-    dh  = bb[BBL_Z] - bz1;
-    dm  = max(dl,dh);
-    dm0 = max(dm,0);
+    dl  = bz0 - bb->upper[BB_Z];
+    dh  = bb->lower[BB_Z] - bz1;
+    dm  = max(dl, dh);
+    dm0 = max(dm, 0);
     d2 += dm0*dm0;
 
     return d2;
 }
 
 /* Plain C code calculating the distance^2 between two bounding boxes */
-static float subc_bb_dist2(int si,const float *bb_i_ci,
-                           int csj,const float *bb_j_all)
+static float subc_bb_dist2(int si, const nbnxn_bb_t *bb_i_ci,
+                           int csj, const nbnxn_bb_t *bb_j_all)
 {
-    const float *bb_i,*bb_j;
-    float d2;
-    float dl,dh,dm,dm0;
+    const nbnxn_bb_t *bb_i, *bb_j;
+    float             d2;
+    float             dl, dh, dm, dm0;
 
-    bb_i = bb_i_ci  +  si*NNBSBB_B;
-    bb_j = bb_j_all + csj*NNBSBB_B;
+    bb_i = bb_i_ci  +  si;
+    bb_j = bb_j_all + csj;
 
     d2 = 0;
 
-    dl  = bb_i[BBL_X] - bb_j[BBU_X];
-    dh  = bb_j[BBL_X] - bb_i[BBU_X];
-    dm  = max(dl,dh);
-    dm0 = max(dm,0);
+    dl  = bb_i->lower[BB_X] - bb_j->upper[BB_X];
+    dh  = bb_j->lower[BB_X] - bb_i->upper[BB_X];
+    dm  = max(dl, dh);
+    dm0 = max(dm, 0);
     d2 += dm0*dm0;
 
-    dl  = bb_i[BBL_Y] - bb_j[BBU_Y];
-    dh  = bb_j[BBL_Y] - bb_i[BBU_Y];
-    dm  = max(dl,dh);
-    dm0 = max(dm,0);
+    dl  = bb_i->lower[BB_Y] - bb_j->upper[BB_Y];
+    dh  = bb_j->lower[BB_Y] - bb_i->upper[BB_Y];
+    dm  = max(dl, dh);
+    dm0 = max(dm, 0);
     d2 += dm0*dm0;
 
-    dl  = bb_i[BBL_Z] - bb_j[BBU_Z];
-    dh  = bb_j[BBL_Z] - bb_i[BBU_Z];
-    dm  = max(dl,dh);
-    dm0 = max(dm,0);
+    dl  = bb_i->lower[BB_Z] - bb_j->upper[BB_Z];
+    dh  = bb_j->lower[BB_Z] - bb_i->upper[BB_Z];
+    dm  = max(dl, dh);
+    dm0 = max(dm, 0);
     d2 += dm0*dm0;
 
     return d2;
 }
 
-#ifdef NBNXN_SEARCH_BB_SSE
+#ifdef NBNXN_SEARCH_BB_SIMD4
 
-/* SSE code for bb distance for bb format xyz0 */
-static float subc_bb_dist2_sse(int na_c,
-                              int si,const float *bb_i_ci,
-                              int csj,const float *bb_j_all)
+/* 4-wide SIMD code for bb distance for bb format xyz0 */
+static float subc_bb_dist2_simd4(int si, const nbnxn_bb_t *bb_i_ci,
+                                 int csj, const nbnxn_bb_t *bb_j_all)
 {
-    const float *bb_i,*bb_j;
-
-    __m128 bb_i_SSE0,bb_i_SSE1;
-    __m128 bb_j_SSE0,bb_j_SSE1;
-    __m128 dl_SSE;
-    __m128 dh_SSE;
-    __m128 dm_SSE;
-    __m128 dm0_SSE;
-    __m128 d2_SSE;
-#ifndef GMX_X86_SSE4_1
-    float d2_array[7],*d2_align;
-
-    d2_align = (float *)(((size_t)(d2_array+3)) & (~((size_t)15)));
-#else
-    float d2;
-#endif
-
-    bb_i = bb_i_ci  +  si*NNBSBB_B;
-    bb_j = bb_j_all + csj*NNBSBB_B;
-
-    bb_i_SSE0 = _mm_load_ps(bb_i);
-    bb_i_SSE1 = _mm_load_ps(bb_i+NNBSBB_C);
-    bb_j_SSE0 = _mm_load_ps(bb_j);
-    bb_j_SSE1 = _mm_load_ps(bb_j+NNBSBB_C);
+    gmx_simd4_float_t bb_i_S0, bb_i_S1;
+    gmx_simd4_float_t bb_j_S0, bb_j_S1;
+    gmx_simd4_float_t dl_S;
+    gmx_simd4_float_t dh_S;
+    gmx_simd4_float_t dm_S;
+    gmx_simd4_float_t dm0_S;
 
-    dl_SSE    = _mm_sub_ps(bb_i_SSE0,bb_j_SSE1);
-    dh_SSE    = _mm_sub_ps(bb_j_SSE0,bb_i_SSE1);
+    bb_i_S0 = gmx_simd4_load_f(&bb_i_ci[si].lower[0]);
+    bb_i_S1 = gmx_simd4_load_f(&bb_i_ci[si].upper[0]);
+    bb_j_S0 = gmx_simd4_load_f(&bb_j_all[csj].lower[0]);
+    bb_j_S1 = gmx_simd4_load_f(&bb_j_all[csj].upper[0]);
 
-    dm_SSE    = _mm_max_ps(dl_SSE,dh_SSE);
-    dm0_SSE   = _mm_max_ps(dm_SSE,_mm_setzero_ps());
-#ifndef GMX_X86_SSE4_1
-    d2_SSE    = _mm_mul_ps(dm0_SSE,dm0_SSE);
+    dl_S    = gmx_simd4_sub_f(bb_i_S0, bb_j_S1);
+    dh_S    = gmx_simd4_sub_f(bb_j_S0, bb_i_S1);
 
-    _mm_store_ps(d2_align,d2_SSE);
+    dm_S    = gmx_simd4_max_f(dl_S, dh_S);
+    dm0_S   = gmx_simd4_max_f(dm_S, gmx_simd4_setzero_f());
 
-    return d2_align[0] + d2_align[1] + d2_align[2];
-#else
-    /* SSE4.1 dot product of components 0,1,2 */
-    d2_SSE    = _mm_dp_ps(dm0_SSE,dm0_SSE,0x71);
-
-    _mm_store_ss(&d2,d2_SSE);
-
-    return d2;
-#endif
+    return gmx_simd4_dotproduct3_f(dm0_S, dm0_S);
 }
 
 /* Calculate bb bounding distances of bb_i[si,...,si+3] and store them in d2 */
-#define SUBC_BB_DIST2_SSE_XXXX_INNER(si,bb_i,d2) \
-{                                                \
-    int    shi;                                  \
+#define SUBC_BB_DIST2_SIMD4_XXXX_INNER(si, bb_i, d2) \
+    {                                                \
+        int               shi;                                  \
                                                  \
-    __m128 dx_0,dy_0,dz_0;                       \
-    __m128 dx_1,dy_1,dz_1;                       \
+        gmx_simd4_float_t dx_0, dy_0, dz_0;                    \
+        gmx_simd4_float_t dx_1, dy_1, dz_1;                    \
                                                  \
-    __m128 mx,my,mz;                             \
-    __m128 m0x,m0y,m0z;                          \
+        gmx_simd4_float_t mx, my, mz;                          \
+        gmx_simd4_float_t m0x, m0y, m0z;                       \
                                                  \
-    __m128 d2x,d2y,d2z;                          \
-    __m128 d2s,d2t;                              \
+        gmx_simd4_float_t d2x, d2y, d2z;                       \
+        gmx_simd4_float_t d2s, d2t;                            \
                                                  \
-    shi = si*NNBSBB_D*DIM;                       \
+        shi = si*NNBSBB_D*DIM;                       \
                                                  \
-    xi_l = _mm_load_ps(bb_i+shi+0*STRIDE_PBB);   \
-    yi_l = _mm_load_ps(bb_i+shi+1*STRIDE_PBB);   \
-    zi_l = _mm_load_ps(bb_i+shi+2*STRIDE_PBB);   \
-    xi_h = _mm_load_ps(bb_i+shi+3*STRIDE_PBB);   \
-    yi_h = _mm_load_ps(bb_i+shi+4*STRIDE_PBB);   \
-    zi_h = _mm_load_ps(bb_i+shi+5*STRIDE_PBB);   \
+        xi_l = gmx_simd4_load_f(bb_i+shi+0*STRIDE_PBB);   \
+        yi_l = gmx_simd4_load_f(bb_i+shi+1*STRIDE_PBB);   \
+        zi_l = gmx_simd4_load_f(bb_i+shi+2*STRIDE_PBB);   \
+        xi_h = gmx_simd4_load_f(bb_i+shi+3*STRIDE_PBB);   \
+        yi_h = gmx_simd4_load_f(bb_i+shi+4*STRIDE_PBB);   \
+        zi_h = gmx_simd4_load_f(bb_i+shi+5*STRIDE_PBB);   \
                                                  \
-    dx_0 = _mm_sub_ps(xi_l,xj_h);                \
-    dy_0 = _mm_sub_ps(yi_l,yj_h);                \
-    dz_0 = _mm_sub_ps(zi_l,zj_h);                \
+        dx_0 = gmx_simd4_sub_f(xi_l, xj_h);                 \
+        dy_0 = gmx_simd4_sub_f(yi_l, yj_h);                 \
+        dz_0 = gmx_simd4_sub_f(zi_l, zj_h);                 \
                                                  \
-    dx_1 = _mm_sub_ps(xj_l,xi_h);                \
-    dy_1 = _mm_sub_ps(yj_l,yi_h);                \
-    dz_1 = _mm_sub_ps(zj_l,zi_h);                \
+        dx_1 = gmx_simd4_sub_f(xj_l, xi_h);                 \
+        dy_1 = gmx_simd4_sub_f(yj_l, yi_h);                 \
+        dz_1 = gmx_simd4_sub_f(zj_l, zi_h);                 \
                                                  \
-    mx   = _mm_max_ps(dx_0,dx_1);                \
-    my   = _mm_max_ps(dy_0,dy_1);                \
-    mz   = _mm_max_ps(dz_0,dz_1);                \
+        mx   = gmx_simd4_max_f(dx_0, dx_1);                 \
+        my   = gmx_simd4_max_f(dy_0, dy_1);                 \
+        mz   = gmx_simd4_max_f(dz_0, dz_1);                 \
                                                  \
-    m0x  = _mm_max_ps(mx,zero);                  \
-    m0y  = _mm_max_ps(my,zero);                  \
-    m0z  = _mm_max_ps(mz,zero);                  \
+        m0x  = gmx_simd4_max_f(mx, zero);                   \
+        m0y  = gmx_simd4_max_f(my, zero);                   \
+        m0z  = gmx_simd4_max_f(mz, zero);                   \
                                                  \
-    d2x  = _mm_mul_ps(m0x,m0x);                  \
-    d2y  = _mm_mul_ps(m0y,m0y);                  \
-    d2z  = _mm_mul_ps(m0z,m0z);                  \
+        d2x  = gmx_simd4_mul_f(m0x, m0x);                   \
+        d2y  = gmx_simd4_mul_f(m0y, m0y);                   \
+        d2z  = gmx_simd4_mul_f(m0z, m0z);                   \
                                                  \
-    d2s  = _mm_add_ps(d2x,d2y);                  \
-    d2t  = _mm_add_ps(d2s,d2z);                  \
+        d2s  = gmx_simd4_add_f(d2x, d2y);                   \
+        d2t  = gmx_simd4_add_f(d2s, d2z);                   \
                                                  \
-    _mm_store_ps(d2+si,d2t);                     \
-}
+        gmx_simd4_store_f(d2+si, d2t);                      \
+    }
 
-/* SSE code for nsi bb distances for bb format xxxxyyyyzzzz */
-static void subc_bb_dist2_sse_xxxx(const float *bb_j,
-                                   int nsi,const float *bb_i,
-                                   float *d2)
+/* 4-wide SIMD code for nsi bb distances for bb format xxxxyyyyzzzz */
+static void subc_bb_dist2_simd4_xxxx(const float *bb_j,
+                                     int nsi, const float *bb_i,
+                                     float *d2)
 {
-    __m128 xj_l,yj_l,zj_l;
-    __m128 xj_h,yj_h,zj_h;
-    __m128 xi_l,yi_l,zi_l;
-    __m128 xi_h,yi_h,zi_h;
+    gmx_simd4_float_t xj_l, yj_l, zj_l;
+    gmx_simd4_float_t xj_h, yj_h, zj_h;
+    gmx_simd4_float_t xi_l, yi_l, zi_l;
+    gmx_simd4_float_t xi_h, yi_h, zi_h;
 
-    __m128 zero;
+    gmx_simd4_float_t zero;
 
-    zero = _mm_setzero_ps();
+    zero = gmx_simd4_setzero_f();
 
-    xj_l = _mm_set1_ps(bb_j[0*STRIDE_PBB]);
-    yj_l = _mm_set1_ps(bb_j[1*STRIDE_PBB]);
-    zj_l = _mm_set1_ps(bb_j[2*STRIDE_PBB]);
-    xj_h = _mm_set1_ps(bb_j[3*STRIDE_PBB]);
-    yj_h = _mm_set1_ps(bb_j[4*STRIDE_PBB]);
-    zj_h = _mm_set1_ps(bb_j[5*STRIDE_PBB]);
+    xj_l = gmx_simd4_set1_f(bb_j[0*STRIDE_PBB]);
+    yj_l = gmx_simd4_set1_f(bb_j[1*STRIDE_PBB]);
+    zj_l = gmx_simd4_set1_f(bb_j[2*STRIDE_PBB]);
+    xj_h = gmx_simd4_set1_f(bb_j[3*STRIDE_PBB]);
+    yj_h = gmx_simd4_set1_f(bb_j[4*STRIDE_PBB]);
+    zj_h = gmx_simd4_set1_f(bb_j[5*STRIDE_PBB]);
 
     /* Here we "loop" over si (0,STRIDE_PBB) from 0 to nsi with step STRIDE_PBB.
      * But as we know the number of iterations is 1 or 2, we unroll manually.
      */
-    SUBC_BB_DIST2_SSE_XXXX_INNER(0,bb_i,d2);
+    SUBC_BB_DIST2_SIMD4_XXXX_INNER(0, bb_i, d2);
     if (STRIDE_PBB < nsi)
     {
-        SUBC_BB_DIST2_SSE_XXXX_INNER(STRIDE_PBB,bb_i,d2);
+        SUBC_BB_DIST2_SIMD4_XXXX_INNER(STRIDE_PBB, bb_i, d2);
     }
 }
 
-#endif /* NBNXN_SEARCH_BB_SSE */
+#endif /* NBNXN_SEARCH_BB_SIMD4 */
 
 /* Plain C function which determines if any atom pair between two cells
  * is within distance sqrt(rl2).
  */
 static gmx_bool subc_in_range_x(int na_c,
-                                int si,const real *x_i,
-                                int csj,int stride,const real *x_j,
+                                int si, const real *x_i,
+                                int csj, int stride, const real *x_j,
                                 real rl2)
 {
-    int  i,j,i0,j0;
+    int  i, j, i0, j0;
     real d2;
 
-    for(i=0; i<na_c; i++)
+    for (i = 0; i < na_c; i++)
     {
         i0 = (si*na_c + i)*DIM;
-        for(j=0; j<na_c; j++)
+        for (j = 0; j < na_c; j++)
         {
             j0 = (csj*na_c + j)*stride;
 
             d2 = sqr(x_i[i0  ] - x_j[j0  ]) +
-                 sqr(x_i[i0+1] - x_j[j0+1]) +
-                 sqr(x_i[i0+2] - x_j[j0+2]);
+                sqr(x_i[i0+1] - x_j[j0+1]) +
+                sqr(x_i[i0+2] - x_j[j0+2]);
 
             if (d2 < rl2)
             {
@@ -2203,32 +2283,34 @@ static gmx_bool subc_in_range_x(int na_c,
     return FALSE;
 }
 
-/* SSE function which determines if any atom pair between two cells,
+#ifdef NBNXN_SEARCH_SIMD4_FLOAT_X_BB
+
+/* 4-wide SIMD function which determines if any atom pair between two cells,
  * both with 8 atoms, is within distance sqrt(rl2).
+ * Using 8-wide AVX is not faster on Intel Sandy Bridge.
  */
-static gmx_bool subc_in_range_sse8(int na_c,
-                                   int si,const real *x_i,
-                                   int csj,int stride,const real *x_j,
-                                   real rl2)
+static gmx_bool subc_in_range_simd4(int na_c,
+                                    int si, const real *x_i,
+                                    int csj, int stride, const real *x_j,
+                                    real rl2)
 {
-#ifdef NBNXN_SEARCH_SSE_SINGLE
-    __m128 ix_SSE0,iy_SSE0,iz_SSE0;
-    __m128 ix_SSE1,iy_SSE1,iz_SSE1;
+    gmx_simd4_real_t ix_S0, iy_S0, iz_S0;
+    gmx_simd4_real_t ix_S1, iy_S1, iz_S1;
 
-    __m128 rc2_SSE;
+    gmx_simd4_real_t rc2_S;
 
-    int na_c_sse;
-    int j0,j1;
+    int              dim_stride;
+    int              j0, j1;
 
-    rc2_SSE   = _mm_set1_ps(rl2);
+    rc2_S   = gmx_simd4_set1_r(rl2);
 
-    na_c_sse = NBNXN_GPU_CLUSTER_SIZE/STRIDE_PBB;
-    ix_SSE0 = _mm_load_ps(x_i+(si*na_c_sse*DIM+0)*STRIDE_PBB);
-    iy_SSE0 = _mm_load_ps(x_i+(si*na_c_sse*DIM+1)*STRIDE_PBB);
-    iz_SSE0 = _mm_load_ps(x_i+(si*na_c_sse*DIM+2)*STRIDE_PBB);
-    ix_SSE1 = _mm_load_ps(x_i+(si*na_c_sse*DIM+3)*STRIDE_PBB);
-    iy_SSE1 = _mm_load_ps(x_i+(si*na_c_sse*DIM+4)*STRIDE_PBB);
-    iz_SSE1 = _mm_load_ps(x_i+(si*na_c_sse*DIM+5)*STRIDE_PBB);
+    dim_stride = NBNXN_GPU_CLUSTER_SIZE/STRIDE_PBB*DIM;
+    ix_S0      = gmx_simd4_load_r(x_i+(si*dim_stride+0)*STRIDE_PBB);
+    iy_S0      = gmx_simd4_load_r(x_i+(si*dim_stride+1)*STRIDE_PBB);
+    iz_S0      = gmx_simd4_load_r(x_i+(si*dim_stride+2)*STRIDE_PBB);
+    ix_S1      = gmx_simd4_load_r(x_i+(si*dim_stride+3)*STRIDE_PBB);
+    iy_S1      = gmx_simd4_load_r(x_i+(si*dim_stride+4)*STRIDE_PBB);
+    iz_S1      = gmx_simd4_load_r(x_i+(si*dim_stride+5)*STRIDE_PBB);
 
     /* We loop from the outer to the inner particles to maximize
      * the chance that we find a pair in range quickly and return.
@@ -2237,63 +2319,63 @@ static gmx_bool subc_in_range_sse8(int na_c,
     j1 = j0 + na_c - 1;
     while (j0 < j1)
     {
-        __m128 jx0_SSE,jy0_SSE,jz0_SSE;
-        __m128 jx1_SSE,jy1_SSE,jz1_SSE;
+        gmx_simd4_real_t jx0_S, jy0_S, jz0_S;
+        gmx_simd4_real_t jx1_S, jy1_S, jz1_S;
 
-        __m128 dx_SSE0,dy_SSE0,dz_SSE0;
-        __m128 dx_SSE1,dy_SSE1,dz_SSE1;
-        __m128 dx_SSE2,dy_SSE2,dz_SSE2;
-        __m128 dx_SSE3,dy_SSE3,dz_SSE3;
+        gmx_simd4_real_t dx_S0, dy_S0, dz_S0;
+        gmx_simd4_real_t dx_S1, dy_S1, dz_S1;
+        gmx_simd4_real_t dx_S2, dy_S2, dz_S2;
+        gmx_simd4_real_t dx_S3, dy_S3, dz_S3;
 
-        __m128 rsq_SSE0;
-        __m128 rsq_SSE1;
-        __m128 rsq_SSE2;
-        __m128 rsq_SSE3;
+        gmx_simd4_real_t rsq_S0;
+        gmx_simd4_real_t rsq_S1;
+        gmx_simd4_real_t rsq_S2;
+        gmx_simd4_real_t rsq_S3;
 
-        __m128 wco_SSE0;
-        __m128 wco_SSE1;
-        __m128 wco_SSE2;
-        __m128 wco_SSE3;
-        __m128 wco_any_SSE01,wco_any_SSE23,wco_any_SSE;
+        gmx_simd4_bool_t wco_S0;
+        gmx_simd4_bool_t wco_S1;
+        gmx_simd4_bool_t wco_S2;
+        gmx_simd4_bool_t wco_S3;
+        gmx_simd4_bool_t wco_any_S01, wco_any_S23, wco_any_S;
 
-        jx0_SSE = _mm_load1_ps(x_j+j0*stride+0);
-        jy0_SSE = _mm_load1_ps(x_j+j0*stride+1);
-        jz0_SSE = _mm_load1_ps(x_j+j0*stride+2);
+        jx0_S = gmx_simd4_set1_r(x_j[j0*stride+0]);
+        jy0_S = gmx_simd4_set1_r(x_j[j0*stride+1]);
+        jz0_S = gmx_simd4_set1_r(x_j[j0*stride+2]);
 
-        jx1_SSE = _mm_load1_ps(x_j+j1*stride+0);
-        jy1_SSE = _mm_load1_ps(x_j+j1*stride+1);
-        jz1_SSE = _mm_load1_ps(x_j+j1*stride+2);
+        jx1_S = gmx_simd4_set1_r(x_j[j1*stride+0]);
+        jy1_S = gmx_simd4_set1_r(x_j[j1*stride+1]);
+        jz1_S = gmx_simd4_set1_r(x_j[j1*stride+2]);
 
         /* Calculate distance */
-        dx_SSE0            = _mm_sub_ps(ix_SSE0,jx0_SSE);
-        dy_SSE0            = _mm_sub_ps(iy_SSE0,jy0_SSE);
-        dz_SSE0            = _mm_sub_ps(iz_SSE0,jz0_SSE);
-        dx_SSE1            = _mm_sub_ps(ix_SSE1,jx0_SSE);
-        dy_SSE1            = _mm_sub_ps(iy_SSE1,jy0_SSE);
-        dz_SSE1            = _mm_sub_ps(iz_SSE1,jz0_SSE);
-        dx_SSE2            = _mm_sub_ps(ix_SSE0,jx1_SSE);
-        dy_SSE2            = _mm_sub_ps(iy_SSE0,jy1_SSE);
-        dz_SSE2            = _mm_sub_ps(iz_SSE0,jz1_SSE);
-        dx_SSE3            = _mm_sub_ps(ix_SSE1,jx1_SSE);
-        dy_SSE3            = _mm_sub_ps(iy_SSE1,jy1_SSE);
-        dz_SSE3            = _mm_sub_ps(iz_SSE1,jz1_SSE);
+        dx_S0            = gmx_simd4_sub_r(ix_S0, jx0_S);
+        dy_S0            = gmx_simd4_sub_r(iy_S0, jy0_S);
+        dz_S0            = gmx_simd4_sub_r(iz_S0, jz0_S);
+        dx_S1            = gmx_simd4_sub_r(ix_S1, jx0_S);
+        dy_S1            = gmx_simd4_sub_r(iy_S1, jy0_S);
+        dz_S1            = gmx_simd4_sub_r(iz_S1, jz0_S);
+        dx_S2            = gmx_simd4_sub_r(ix_S0, jx1_S);
+        dy_S2            = gmx_simd4_sub_r(iy_S0, jy1_S);
+        dz_S2            = gmx_simd4_sub_r(iz_S0, jz1_S);
+        dx_S3            = gmx_simd4_sub_r(ix_S1, jx1_S);
+        dy_S3            = gmx_simd4_sub_r(iy_S1, jy1_S);
+        dz_S3            = gmx_simd4_sub_r(iz_S1, jz1_S);
 
         /* rsq = dx*dx+dy*dy+dz*dz */
-        rsq_SSE0           = gmx_mm_calc_rsq_ps(dx_SSE0,dy_SSE0,dz_SSE0);
-        rsq_SSE1           = gmx_mm_calc_rsq_ps(dx_SSE1,dy_SSE1,dz_SSE1);
-        rsq_SSE2           = gmx_mm_calc_rsq_ps(dx_SSE2,dy_SSE2,dz_SSE2);
-        rsq_SSE3           = gmx_mm_calc_rsq_ps(dx_SSE3,dy_SSE3,dz_SSE3);
+        rsq_S0           = gmx_simd4_calc_rsq_r(dx_S0, dy_S0, dz_S0);
+        rsq_S1           = gmx_simd4_calc_rsq_r(dx_S1, dy_S1, dz_S1);
+        rsq_S2           = gmx_simd4_calc_rsq_r(dx_S2, dy_S2, dz_S2);
+        rsq_S3           = gmx_simd4_calc_rsq_r(dx_S3, dy_S3, dz_S3);
 
-        wco_SSE0           = _mm_cmplt_ps(rsq_SSE0,rc2_SSE);
-        wco_SSE1           = _mm_cmplt_ps(rsq_SSE1,rc2_SSE);
-        wco_SSE2           = _mm_cmplt_ps(rsq_SSE2,rc2_SSE);
-        wco_SSE3           = _mm_cmplt_ps(rsq_SSE3,rc2_SSE);
+        wco_S0           = gmx_simd4_cmplt_r(rsq_S0, rc2_S);
+        wco_S1           = gmx_simd4_cmplt_r(rsq_S1, rc2_S);
+        wco_S2           = gmx_simd4_cmplt_r(rsq_S2, rc2_S);
+        wco_S3           = gmx_simd4_cmplt_r(rsq_S3, rc2_S);
 
-        wco_any_SSE01      = _mm_or_ps(wco_SSE0,wco_SSE1);
-        wco_any_SSE23      = _mm_or_ps(wco_SSE2,wco_SSE3);
-        wco_any_SSE        = _mm_or_ps(wco_any_SSE01,wco_any_SSE23);
+        wco_any_S01      = gmx_simd4_or_b(wco_S0, wco_S1);
+        wco_any_S23      = gmx_simd4_or_b(wco_S2, wco_S3);
+        wco_any_S        = gmx_simd4_or_b(wco_any_S01, wco_any_S23);
 
-        if (_mm_movemask_ps(wco_any_SSE))
+        if (gmx_simd4_anytrue_b(wco_any_S))
         {
             return TRUE;
         }
@@ -2303,28 +2385,24 @@ static gmx_bool subc_in_range_sse8(int na_c,
     }
     return FALSE;
 
-#else
-    /* No SSE */
-    gmx_incons("SSE function called without SSE support");
-
-    return TRUE;
-#endif
 }
+#endif
+
 
 /* Returns the j sub-cell for index cj_ind */
-static int nbl_cj(const nbnxn_pairlist_t *nbl,int cj_ind)
+static int nbl_cj(const nbnxn_pairlist_t *nbl, int cj_ind)
 {
     return nbl->cj4[cj_ind >> NBNXN_GPU_JGROUP_SIZE_2LOG].cj[cj_ind & (NBNXN_GPU_JGROUP_SIZE - 1)];
 }
 
 /* Returns the i-interaction mask of the j sub-cell for index cj_ind */
-static unsigned nbl_imask0(const nbnxn_pairlist_t *nbl,int cj_ind)
+static unsigned int nbl_imask0(const nbnxn_pairlist_t *nbl, int cj_ind)
 {
     return nbl->cj4[cj_ind >> NBNXN_GPU_JGROUP_SIZE_2LOG].imei[0].imask;
 }
 
 /* Ensures there is enough space for extra extra exclusion masks */
-static void check_excl_space(nbnxn_pairlist_t *nbl,int extra)
+static void check_excl_space(nbnxn_pairlist_t *nbl, int extra)
 {
     if (nbl->nexcl+extra > nbl->excl_nalloc)
     {
@@ -2332,13 +2410,13 @@ static void check_excl_space(nbnxn_pairlist_t *nbl,int extra)
         nbnxn_realloc_void((void **)&nbl->excl,
                            nbl->nexcl*sizeof(*nbl->excl),
                            nbl->excl_nalloc*sizeof(*nbl->excl),
-                           nbl->alloc,nbl->free);
+                           nbl->alloc, nbl->free);
     }
 }
 
 /* Ensures there is enough space for ncell extra j-cells in the list */
 static void check_subcell_list_space_simple(nbnxn_pairlist_t *nbl,
-                                            int ncell)
+                                            int               ncell)
 {
     int cj_max;
 
@@ -2350,15 +2428,15 @@ static void check_subcell_list_space_simple(nbnxn_pairlist_t *nbl,
         nbnxn_realloc_void((void **)&nbl->cj,
                            nbl->ncj*sizeof(*nbl->cj),
                            nbl->cj_nalloc*sizeof(*nbl->cj),
-                           nbl->alloc,nbl->free);
+                           nbl->alloc, nbl->free);
     }
 }
 
 /* Ensures there is enough space for ncell extra j-subcells in the list */
 static void check_subcell_list_space_supersub(nbnxn_pairlist_t *nbl,
-                                              int nsupercell)
+                                              int               nsupercell)
 {
-    int ncj4_max,j4,j,w,t;
+    int ncj4_max, j4, j, w, t;
 
 #define NWARP       2
 #define WARP_SIZE  32
@@ -2375,15 +2453,15 @@ static void check_subcell_list_space_supersub(nbnxn_pairlist_t *nbl,
         nbnxn_realloc_void((void **)&nbl->cj4,
                            nbl->work->cj4_init*sizeof(*nbl->cj4),
                            nbl->cj4_nalloc*sizeof(*nbl->cj4),
-                           nbl->alloc,nbl->free);
+                           nbl->alloc, nbl->free);
     }
 
     if (ncj4_max > nbl->work->cj4_init)
     {
-        for(j4=nbl->work->cj4_init; j4<ncj4_max; j4++)
+        for (j4 = nbl->work->cj4_init; j4 < ncj4_max; j4++)
         {
             /* No i-subcells and no excl's in the list initially */
-            for(w=0; w<NWARP; w++)
+            for (w = 0; w < NWARP; w++)
             {
                 nbl->cj4[j4].imei[w].imask    = 0U;
                 nbl->cj4[j4].imei[w].excl_ind = 0;
@@ -2399,18 +2477,18 @@ static void set_no_excls(nbnxn_excl_t *excl)
 {
     int t;
 
-    for(t=0; t<WARP_SIZE; t++)
+    for (t = 0; t < WARP_SIZE; t++)
     {
         /* Turn all interaction bits on */
-        excl->pair[t] = NBNXN_INT_MASK_ALL;
+        excl->pair[t] = NBNXN_INTERACTION_MASK_ALL;
     }
 }
 
 /* Initializes a single nbnxn_pairlist_t data structure */
 static void nbnxn_init_pairlist(nbnxn_pairlist_t *nbl,
-                                gmx_bool bSimple,
-                                nbnxn_alloc_t *alloc,
-                                nbnxn_free_t  *free)
+                                gmx_bool          bSimple,
+                                nbnxn_alloc_t    *alloc,
+                                nbnxn_free_t     *free)
 {
     if (alloc == NULL)
     {
@@ -2450,23 +2528,35 @@ static void nbnxn_init_pairlist(nbnxn_pairlist_t *nbl,
         nbl->excl        = NULL;
         nbl->excl_nalloc = 0;
         nbl->nexcl       = 0;
-        check_excl_space(nbl,1);
+        check_excl_space(nbl, 1);
         nbl->nexcl       = 1;
         set_no_excls(&nbl->excl[0]);
     }
 
-    snew(nbl->work,1);
+    snew(nbl->work, 1);
+    if (nbl->bSimple)
+    {
+        snew_aligned(nbl->work->bb_ci, 1, NBNXN_SEARCH_BB_MEM_ALIGN);
+    }
+    else
+    {
 #ifdef NBNXN_BBXXXX
-    snew_aligned(nbl->work->bb_ci,GPU_NSUBCELL/STRIDE_PBB*NNBSBB_XXXX,NBNXN_MEM_ALIGN);
+        snew_aligned(nbl->work->pbb_ci, GPU_NSUBCELL/STRIDE_PBB*NNBSBB_XXXX, NBNXN_SEARCH_BB_MEM_ALIGN);
 #else
-    snew_aligned(nbl->work->bb_ci,GPU_NSUBCELL*NNBSBB_B,NBNXN_MEM_ALIGN);
+        snew_aligned(nbl->work->bb_ci, GPU_NSUBCELL, NBNXN_SEARCH_BB_MEM_ALIGN);
 #endif
-    snew_aligned(nbl->work->x_ci,NBNXN_NA_SC_MAX*DIM,NBNXN_MEM_ALIGN);
+    }
+    snew_aligned(nbl->work->x_ci, NBNXN_NA_SC_MAX*DIM, NBNXN_SEARCH_BB_MEM_ALIGN);
 #ifdef GMX_NBNXN_SIMD
-    snew_aligned(nbl->work->x_ci_simd_4xn,1,NBNXN_MEM_ALIGN);
-    snew_aligned(nbl->work->x_ci_simd_2xnn,1,NBNXN_MEM_ALIGN);
+    snew_aligned(nbl->work->x_ci_simd_4xn, 1, NBNXN_MEM_ALIGN);
+    snew_aligned(nbl->work->x_ci_simd_2xnn, 1, NBNXN_MEM_ALIGN);
 #endif
-    snew_aligned(nbl->work->d2,GPU_NSUBCELL,NBNXN_MEM_ALIGN);
+    snew_aligned(nbl->work->d2, GPU_NSUBCELL, NBNXN_SEARCH_BB_MEM_ALIGN);
+
+    nbl->work->sort            = NULL;
+    nbl->work->sort_nalloc     = 0;
+    nbl->work->sci_sort        = NULL;
+    nbl->work->sci_sort_nalloc = 0;
 }
 
 void nbnxn_init_pairlist_set(nbnxn_pairlist_set_t *nbl_list,
@@ -2484,118 +2574,122 @@ void nbnxn_init_pairlist_set(nbnxn_pairlist_set_t *nbl_list,
     if (!nbl_list->bCombined &&
         nbl_list->nnbl > NBNXN_BUFFERFLAG_MAX_THREADS)
     {
-        gmx_fatal(FARGS,"%d OpenMP threads were requested. Since the non-bonded force buffer reduction is prohibitively slow with more than %d threads, we do not allow this. Use %d or less OpenMP threads.",
-                  nbl_list->nnbl,NBNXN_BUFFERFLAG_MAX_THREADS,NBNXN_BUFFERFLAG_MAX_THREADS);
+        gmx_fatal(FARGS, "%d OpenMP threads were requested. Since the non-bonded force buffer reduction is prohibitively slow with more than %d threads, we do not allow this. Use %d or less OpenMP threads.",
+                  nbl_list->nnbl, NBNXN_BUFFERFLAG_MAX_THREADS, NBNXN_BUFFERFLAG_MAX_THREADS);
     }
 
-    snew(nbl_list->nbl,nbl_list->nnbl);
+    snew(nbl_list->nbl, nbl_list->nnbl);
+    snew(nbl_list->nbl_fep, nbl_list->nnbl);
     /* Execute in order to avoid memory interleaving between threads */
 #pragma omp parallel for num_threads(nbl_list->nnbl) schedule(static)
-    for(i=0; i<nbl_list->nnbl; i++)
+    for (i = 0; i < nbl_list->nnbl; i++)
     {
         /* Allocate the nblist data structure locally on each thread
          * to optimize memory access for NUMA architectures.
          */
-        snew(nbl_list->nbl[i],1);
+        snew(nbl_list->nbl[i], 1);
 
         /* Only list 0 is used on the GPU, use normal allocation for i>0 */
         if (i == 0)
         {
-            nbnxn_init_pairlist(nbl_list->nbl[i],nbl_list->bSimple,alloc,free);
+            nbnxn_init_pairlist(nbl_list->nbl[i], nbl_list->bSimple, alloc, free);
         }
         else
         {
-            nbnxn_init_pairlist(nbl_list->nbl[i],nbl_list->bSimple,NULL,NULL);
+            nbnxn_init_pairlist(nbl_list->nbl[i], nbl_list->bSimple, NULL, NULL);
         }
+
+        snew(nbl_list->nbl_fep[i], 1);
+        nbnxn_init_pairlist_fep(nbl_list->nbl_fep[i]);
     }
 }
 
 /* Print statistics of a pair list, used for debug output */
-static void print_nblist_statistics_simple(FILE *fp,const nbnxn_pairlist_t *nbl,
-                                           const nbnxn_search_t nbs,real rl)
+static void print_nblist_statistics_simple(FILE *fp, const nbnxn_pairlist_t *nbl,
+                                           const nbnxn_search_t nbs, real rl)
 {
     const nbnxn_grid_t *grid;
-    int cs[SHIFTS];
-    int s,i,j;
-    int npexcl;
+    int                 cs[SHIFTS];
+    int                 s, i, j;
+    int                 npexcl;
 
     /* This code only produces correct statistics with domain decomposition */
     grid = &nbs->grid[0];
 
-    fprintf(fp,"nbl nci %d ncj %d\n",
-            nbl->nci,nbl->ncj);
-    fprintf(fp,"nbl na_sc %d rl %g ncp %d per cell %.1f atoms %.1f ratio %.2f\n",
-            nbl->na_sc,rl,nbl->ncj,nbl->ncj/(double)grid->nc,
+    fprintf(fp, "nbl nci %d ncj %d\n",
+            nbl->nci, nbl->ncj);
+    fprintf(fp, "nbl na_sc %d rl %g ncp %d per cell %.1f atoms %.1f ratio %.2f\n",
+            nbl->na_sc, rl, nbl->ncj, nbl->ncj/(double)grid->nc,
             nbl->ncj/(double)grid->nc*grid->na_sc,
             nbl->ncj/(double)grid->nc*grid->na_sc/(0.5*4.0/3.0*M_PI*rl*rl*rl*grid->nc*grid->na_sc/det(nbs->box)));
 
-    fprintf(fp,"nbl average j cell list length %.1f\n",
+    fprintf(fp, "nbl average j cell list length %.1f\n",
             0.25*nbl->ncj/(double)nbl->nci);
 
-    for(s=0; s<SHIFTS; s++)
+    for (s = 0; s < SHIFTS; s++)
     {
         cs[s] = 0;
     }
     npexcl = 0;
-    for(i=0; i<nbl->nci; i++)
+    for (i = 0; i < nbl->nci; i++)
     {
         cs[nbl->ci[i].shift & NBNXN_CI_SHIFT] +=
             nbl->ci[i].cj_ind_end - nbl->ci[i].cj_ind_start;
 
         j = nbl->ci[i].cj_ind_start;
         while (j < nbl->ci[i].cj_ind_end &&
-               nbl->cj[j].excl != NBNXN_INT_MASK_ALL)
+               nbl->cj[j].excl != NBNXN_INTERACTION_MASK_ALL)
         {
             npexcl++;
             j++;
         }
     }
-    fprintf(fp,"nbl cell pairs, total: %d excl: %d %.1f%%\n",
-            nbl->ncj,npexcl,100*npexcl/(double)nbl->ncj);
-    for(s=0; s<SHIFTS; s++)
+    fprintf(fp, "nbl cell pairs, total: %d excl: %d %.1f%%\n",
+            nbl->ncj, npexcl, 100*npexcl/(double)nbl->ncj);
+    for (s = 0; s < SHIFTS; s++)
     {
         if (cs[s] > 0)
         {
-            fprintf(fp,"nbl shift %2d ncj %3d\n",s,cs[s]);
+            fprintf(fp, "nbl shift %2d ncj %3d\n", s, cs[s]);
         }
     }
 }
 
 /* Print statistics of a pair lists, used for debug output */
-static void print_nblist_statistics_supersub(FILE *fp,const nbnxn_pairlist_t *nbl,
-                                             const nbnxn_search_t nbs,real rl)
+static void print_nblist_statistics_supersub(FILE *fp, const nbnxn_pairlist_t *nbl,
+                                             const nbnxn_search_t nbs, real rl)
 {
     const nbnxn_grid_t *grid;
-    int i,j4,j,si,b;
-    int c[GPU_NSUBCELL+1];
+    int                 i, j4, j, si, b;
+    int                 c[GPU_NSUBCELL+1];
 
     /* This code only produces correct statistics with domain decomposition */
     grid = &nbs->grid[0];
 
-    fprintf(fp,"nbl nsci %d ncj4 %d nsi %d excl4 %d\n",
-            nbl->nsci,nbl->ncj4,nbl->nci_tot,nbl->nexcl);
-    fprintf(fp,"nbl na_c %d rl %g ncp %d per cell %.1f atoms %.1f ratio %.2f\n",
-            nbl->na_ci,rl,nbl->nci_tot,nbl->nci_tot/(double)grid->nsubc_tot,
+    fprintf(fp, "nbl nsci %d ncj4 %d nsi %d excl4 %d\n",
+            nbl->nsci, nbl->ncj4, nbl->nci_tot, nbl->nexcl);
+    fprintf(fp, "nbl na_c %d rl %g ncp %d per cell %.1f atoms %.1f ratio %.2f\n",
+            nbl->na_ci, rl, nbl->nci_tot, nbl->nci_tot/(double)grid->nsubc_tot,
             nbl->nci_tot/(double)grid->nsubc_tot*grid->na_c,
             nbl->nci_tot/(double)grid->nsubc_tot*grid->na_c/(0.5*4.0/3.0*M_PI*rl*rl*rl*grid->nsubc_tot*grid->na_c/det(nbs->box)));
 
-    fprintf(fp,"nbl average j super cell list length %.1f\n",
+    fprintf(fp, "nbl average j super cell list length %.1f\n",
             0.25*nbl->ncj4/(double)nbl->nsci);
-    fprintf(fp,"nbl average i sub cell list length %.1f\n",
+    fprintf(fp, "nbl average i sub cell list length %.1f\n",
             nbl->nci_tot/((double)nbl->ncj4));
 
-    for(si=0; si<=GPU_NSUBCELL; si++)
+    for (si = 0; si <= GPU_NSUBCELL; si++)
     {
         c[si] = 0;
     }
-    for(i=0; i<nbl->nsci; i++)
+    for (i = 0; i < nbl->nsci; i++)
     {
-        for(j4=nbl->sci[i].cj4_ind_start; j4<nbl->sci[i].cj4_ind_end; j4++)
+        for (j4 = nbl->sci[i].cj4_ind_start; j4 < nbl->sci[i].cj4_ind_end; j4++)
         {
-            for(j=0; j<NBNXN_GPU_JGROUP_SIZE; j++)
+            for (j = 0; j < NBNXN_GPU_JGROUP_SIZE; j++)
             {
                 b = 0;
-                for(si=0; si<GPU_NSUBCELL; si++)
+                for (si = 0; si < GPU_NSUBCELL; si++)
                 {
                     if (nbl->cj4[j4].imei[0].imask & (1U << (j*GPU_NSUBCELL + si)))
                     {
@@ -2606,47 +2700,16 @@ static void print_nblist_statistics_supersub(FILE *fp,const nbnxn_pairlist_t *nb
             }
         }
     }
-    for(b=0; b<=GPU_NSUBCELL; b++)
-    {
-        fprintf(fp,"nbl j-list #i-subcell %d %7d %4.1f\n",
-                b,c[b],100.0*c[b]/(double)(nbl->ncj4*NBNXN_GPU_JGROUP_SIZE));
-    }
-}
-
-/* Print the full pair list, used for debug output */
-static void print_supersub_nsp(const char *fn,
-                               const nbnxn_pairlist_t *nbl,
-                               int iloc)
-{
-    char buf[STRLEN];
-    FILE *fp;
-    int i,nsp,j4,p;
-
-    sprintf(buf,"%s_%s.xvg",fn,NONLOCAL_I(iloc) ? "nl" : "l");
-    fp = ffopen(buf,"w");
-
-    for(i=0; i<nbl->nci; i++)
+    for (b = 0; b <= GPU_NSUBCELL; b++)
     {
-        nsp = 0;
-        for(j4=nbl->sci[i].cj4_ind_start; j4<nbl->sci[i].cj4_ind_end; j4++)
-        {
-            for(p=0; p<NBNXN_GPU_JGROUP_SIZE*GPU_NSUBCELL; p++)
-            {
-                nsp += (nbl->cj4[j4].imei[0].imask >> p) & 1;
-            }
-        }
-        fprintf(fp,"%4d %3d %3d\n",
-                i,
-                nsp,
-                nbl->sci[i].cj4_ind_end-nbl->sci[i].cj4_ind_start);
+        fprintf(fp, "nbl j-list #i-subcell %d %7d %4.1f\n",
+                b, c[b], 100.0*c[b]/(double)(nbl->ncj4*NBNXN_GPU_JGROUP_SIZE));
     }
-
-    fclose(fp);
 }
 
 /* Returns a pointer to the exclusion mask for cj4-unit cj4, warp warp */
-static void low_get_nbl_exclusions(nbnxn_pairlist_t *nbl,int cj4,
-                                   int warp,nbnxn_excl_t **excl)
+static void low_get_nbl_exclusions(nbnxn_pairlist_t *nbl, int cj4,
+                                   int warp, nbnxn_excl_t **excl)
 {
     if (nbl->cj4[cj4].imei[warp].excl_ind == 0)
     {
@@ -2664,50 +2727,50 @@ static void low_get_nbl_exclusions(nbnxn_pairlist_t *nbl,int cj4,
 }
 
 /* Returns a pointer to the exclusion mask for cj4-unit cj4, warp warp,
- * allocates extra memory, if necessary.
+ * generates a new element and allocates extra memory, if necessary.
  */
-static void get_nbl_exclusions_1(nbnxn_pairlist_t *nbl,int cj4,
-                                 int warp,nbnxn_excl_t **excl)
+static void get_nbl_exclusions_1(nbnxn_pairlist_t *nbl, int cj4,
+                                 int warp, nbnxn_excl_t **excl)
 {
     if (nbl->cj4[cj4].imei[warp].excl_ind == 0)
     {
         /* We need to make a new list entry, check if we have space */
-        check_excl_space(nbl,1);
+        check_excl_space(nbl, 1);
     }
-    low_get_nbl_exclusions(nbl,cj4,warp,excl);
+    low_get_nbl_exclusions(nbl, cj4, warp, excl);
 }
 
 /* Returns pointers to the exclusion mask for cj4-unit cj4 for both warps,
- * allocates extra memory, if necessary.
+ * generates a new element and allocates extra memory, if necessary.
  */
-static void get_nbl_exclusions_2(nbnxn_pairlist_t *nbl,int cj4,
+static void get_nbl_exclusions_2(nbnxn_pairlist_t *nbl, int cj4,
                                  nbnxn_excl_t **excl_w0,
                                  nbnxn_excl_t **excl_w1)
 {
     /* Check for space we might need */
-    check_excl_space(nbl,2);
+    check_excl_space(nbl, 2);
 
-    low_get_nbl_exclusions(nbl,cj4,0,excl_w0);
-    low_get_nbl_exclusions(nbl,cj4,1,excl_w1);
+    low_get_nbl_exclusions(nbl, cj4, 0, excl_w0);
+    low_get_nbl_exclusions(nbl, cj4, 1, excl_w1);
 }
 
 /* Sets the self exclusions i=j and pair exclusions i>j */
 static void set_self_and_newton_excls_supersub(nbnxn_pairlist_t *nbl,
-                                               int cj4_ind,int sj_offset,
+                                               int cj4_ind, int sj_offset,
                                                int si)
 {
     nbnxn_excl_t *excl[2];
-    int  ei,ej,w;
+    int           ei, ej, w;
 
     /* Here we only set the set self and double pair exclusions */
 
-    get_nbl_exclusions_2(nbl,cj4_ind,&excl[0],&excl[1]);
+    get_nbl_exclusions_2(nbl, cj4_ind, &excl[0], &excl[1]);
 
     /* Only minor < major bits set */
-    for(ej=0; ej<nbl->na_ci; ej++)
+    for (ej = 0; ej < nbl->na_ci; ej++)
     {
         w = (ej>>2);
-        for(ei=ej; ei<nbl->na_ci; ei++)
+        for (ei = ej; ei < nbl->na_ci; ei++)
         {
             excl[w]->pair[(ej & (NBNXN_GPU_JGROUP_SIZE-1))*nbl->na_ci + ei] &=
                 ~(1U << (sj_offset*GPU_NSUBCELL + si));
@@ -2716,45 +2779,46 @@ static void set_self_and_newton_excls_supersub(nbnxn_pairlist_t *nbl,
 }
 
 /* Returns a diagonal or off-diagonal interaction mask for plain C lists */
-static unsigned int get_imask(gmx_bool rdiag,int ci,int cj)
+static unsigned int get_imask(gmx_bool rdiag, int ci, int cj)
 {
-    return (rdiag && ci == cj ? NBNXN_INT_MASK_DIAG : NBNXN_INT_MASK_ALL);
+    return (rdiag && ci == cj ? NBNXN_INTERACTION_MASK_DIAG : NBNXN_INTERACTION_MASK_ALL);
 }
 
-/* Returns a diagonal or off-diagonal interaction mask for SIMD128 lists */
-static unsigned int get_imask_x86_simd128(gmx_bool rdiag,int ci,int cj)
+/* Returns a diagonal or off-diagonal interaction mask for cj-size=2 */
+static unsigned int get_imask_simd_j2(gmx_bool rdiag, int ci, int cj)
 {
-#ifndef GMX_DOUBLE /* cj-size = 4 */
-    return (rdiag && ci == cj ? NBNXN_INT_MASK_DIAG : NBNXN_INT_MASK_ALL);
-#else              /* cj-size = 2 */
-    return (rdiag && ci*2 == cj ? NBNXN_INT_MASK_DIAG_J2_0 :
-            (rdiag && ci*2+1 == cj ? NBNXN_INT_MASK_DIAG_J2_1 :
-             NBNXN_INT_MASK_ALL));
-#endif
+    return (rdiag && ci*2 == cj ? NBNXN_INTERACTION_MASK_DIAG_J2_0 :
+            (rdiag && ci*2+1 == cj ? NBNXN_INTERACTION_MASK_DIAG_J2_1 :
+             NBNXN_INTERACTION_MASK_ALL));
 }
 
-/* Returns a diagonal or off-diagonal interaction mask for SIMD256 lists */
-static unsigned int get_imask_x86_simd256(gmx_bool rdiag,int ci,int cj)
+/* Returns a diagonal or off-diagonal interaction mask for cj-size=4 */
+static unsigned int get_imask_simd_j4(gmx_bool rdiag, int ci, int cj)
 {
-#ifndef GMX_DOUBLE /* cj-size = 8 */
-    return (rdiag && ci == cj*2 ? NBNXN_INT_MASK_DIAG_J8_0 :
-            (rdiag && ci == cj*2+1 ? NBNXN_INT_MASK_DIAG_J8_1 :
-             NBNXN_INT_MASK_ALL));
-#else              /* cj-size = 4 */
-    return (rdiag && ci == cj ? NBNXN_INT_MASK_DIAG : NBNXN_INT_MASK_ALL);
-#endif
+    return (rdiag && ci == cj ? NBNXN_INTERACTION_MASK_DIAG : NBNXN_INTERACTION_MASK_ALL);
+}
+
+/* Returns a diagonal or off-diagonal interaction mask for cj-size=8 */
+static unsigned int get_imask_simd_j8(gmx_bool rdiag, int ci, int cj)
+{
+    return (rdiag && ci == cj*2 ? NBNXN_INTERACTION_MASK_DIAG_J8_0 :
+            (rdiag && ci == cj*2+1 ? NBNXN_INTERACTION_MASK_DIAG_J8_1 :
+             NBNXN_INTERACTION_MASK_ALL));
 }
 
 #ifdef GMX_NBNXN_SIMD
-#if GMX_NBNXN_SIMD_BITWIDTH == 128
-#define get_imask_x86_simd_4xn  get_imask_x86_simd128
-#else
-#if GMX_NBNXN_SIMD_BITWIDTH == 256
-#define get_imask_x86_simd_4xn  get_imask_x86_simd256
-#define get_imask_x86_simd_2xnn get_imask_x86_simd128
-#else
-#error "unsupported GMX_NBNXN_SIMD_BITWIDTH"
+#if GMX_SIMD_REAL_WIDTH == 2
+#define get_imask_simd_4xn  get_imask_simd_j2
 #endif
+#if GMX_SIMD_REAL_WIDTH == 4
+#define get_imask_simd_4xn  get_imask_simd_j4
+#endif
+#if GMX_SIMD_REAL_WIDTH == 8
+#define get_imask_simd_4xn  get_imask_simd_j8
+#define get_imask_simd_2xnn get_imask_simd_j4
+#endif
+#if GMX_SIMD_REAL_WIDTH == 16
+#define get_imask_simd_2xnn get_imask_simd_j8
 #endif
 #endif
 
@@ -2763,20 +2827,20 @@ static unsigned int get_imask_x86_simd256(gmx_bool rdiag,int ci,int cj)
  */
 static void make_cluster_list_simple(const nbnxn_grid_t *gridj,
                                      nbnxn_pairlist_t *nbl,
-                                     int ci,int cjf,int cjl,
+                                     int ci, int cjf, int cjl,
                                      gmx_bool remove_sub_diag,
                                      const real *x_j,
-                                     real rl2,float rbb2,
+                                     real rl2, float rbb2,
                                      int *ndistc)
 {
     const nbnxn_list_work_t *work;
 
-    const float *bb_ci;
-    const real  *x_ci;
+    const nbnxn_bb_t        *bb_ci;
+    const real              *x_ci;
 
-    gmx_bool   InRange;
-    real       d2;
-    int        cjf_gl,cjl_gl,cj;
+    gmx_bool                 InRange;
+    real                     d2;
+    int                      cjf_gl, cjl_gl, cj;
 
     work = nbl->work;
 
@@ -2786,7 +2850,7 @@ static void make_cluster_list_simple(const nbnxn_grid_t *gridj,
     InRange = FALSE;
     while (!InRange && cjf <= cjl)
     {
-        d2 = subc_bb_dist2(0,bb_ci,cjf,gridj->bb);
+        d2       = subc_bb_dist2(0, bb_ci, cjf, gridj->bb);
         *ndistc += 2;
 
         /* Check if the distance is within the distance where
@@ -2800,12 +2864,12 @@ static void make_cluster_list_simple(const nbnxn_grid_t *gridj,
         }
         else if (d2 < rl2)
         {
-            int i,j;
+            int i, j;
 
             cjf_gl = gridj->cell0 + cjf;
-            for(i=0; i<NBNXN_CPU_CLUSTER_I_SIZE && !InRange; i++)
+            for (i = 0; i < NBNXN_CPU_CLUSTER_I_SIZE && !InRange; i++)
             {
-                for(j=0; j<NBNXN_CPU_CLUSTER_I_SIZE; j++)
+                for (j = 0; j < NBNXN_CPU_CLUSTER_I_SIZE; j++)
                 {
                     InRange = InRange ||
                         (sqr(x_ci[i*STRIDE_XYZ+XX] - x_j[(cjf_gl*NBNXN_CPU_CLUSTER_I_SIZE+j)*STRIDE_XYZ+XX]) +
@@ -2828,7 +2892,7 @@ static void make_cluster_list_simple(const nbnxn_grid_t *gridj,
     InRange = FALSE;
     while (!InRange && cjl > cjf)
     {
-        d2 = subc_bb_dist2(0,bb_ci,cjl,gridj->bb);
+        d2       = subc_bb_dist2(0, bb_ci, cjl, gridj->bb);
         *ndistc += 2;
 
         /* Check if the distance is within the distance where
@@ -2842,12 +2906,12 @@ static void make_cluster_list_simple(const nbnxn_grid_t *gridj,
         }
         else if (d2 < rl2)
         {
-            int i,j;
+            int i, j;
 
             cjl_gl = gridj->cell0 + cjl;
-            for(i=0; i<NBNXN_CPU_CLUSTER_I_SIZE && !InRange; i++)
+            for (i = 0; i < NBNXN_CPU_CLUSTER_I_SIZE && !InRange; i++)
             {
-                for(j=0; j<NBNXN_CPU_CLUSTER_I_SIZE; j++)
+                for (j = 0; j < NBNXN_CPU_CLUSTER_I_SIZE; j++)
                 {
                     InRange = InRange ||
                         (sqr(x_ci[i*STRIDE_XYZ+XX] - x_j[(cjl_gl*NBNXN_CPU_CLUSTER_I_SIZE+j)*STRIDE_XYZ+XX]) +
@@ -2865,11 +2929,11 @@ static void make_cluster_list_simple(const nbnxn_grid_t *gridj,
 
     if (cjf <= cjl)
     {
-        for(cj=cjf; cj<=cjl; cj++)
+        for (cj = cjf; cj <= cjl; cj++)
         {
             /* Store cj and the interaction mask */
             nbl->cj[nbl->ncj].cj   = gridj->cell0 + cj;
-            nbl->cj[nbl->ncj].excl = get_imask(remove_sub_diag,ci,cj);
+            nbl->cj[nbl->ncj].excl = get_imask(remove_sub_diag, ci, cj);
             nbl->ncj++;
         }
         /* Increase the closing index in i super-cell list */
@@ -2878,48 +2942,55 @@ static void make_cluster_list_simple(const nbnxn_grid_t *gridj,
 }
 
 #ifdef GMX_NBNXN_SIMD_4XN
-#include "nbnxn_search_simd_4xn.h"
+#include "gromacs/mdlib/nbnxn_search_simd_4xn.h"
 #endif
 #ifdef GMX_NBNXN_SIMD_2XNN
-#include "nbnxn_search_simd_2xnn.h"
+#include "gromacs/mdlib/nbnxn_search_simd_2xnn.h"
 #endif
 
-/* Plain C or SSE code for making a pair list of super-cell sci vs scj.
+/* Plain C or SIMD4 code for making a pair list of super-cell sci vs scj.
  * Checks bounding box distances and possibly atom pair distances.
  */
-static void make_cluster_list_supersub(const nbnxn_search_t nbs,
-                                       const nbnxn_grid_t *gridi,
+static void make_cluster_list_supersub(const nbnxn_grid_t *gridi,
                                        const nbnxn_grid_t *gridj,
                                        nbnxn_pairlist_t *nbl,
-                                       int sci,int scj,
+                                       int sci, int scj,
                                        gmx_bool sci_equals_scj,
-                                       int stride,const real *x,
-                                       real rl2,float rbb2,
+                                       int stride, const real *x,
+                                       real rl2, float rbb2,
                                        int *ndistc)
 {
-    int  na_c;
-    int  npair;
-    int  cjo,ci1,ci,cj,cj_gl;
-    int  cj4_ind,cj_offset;
-    unsigned imask;
-    nbnxn_cj4_t *cj4;
-    const float *bb_ci;
-    const real *x_ci;
-    float *d2l,d2;
-    int  w;
+    int               na_c;
+    int               npair;
+    int               cjo, ci1, ci, cj, cj_gl;
+    int               cj4_ind, cj_offset;
+    unsigned int      imask;
+    nbnxn_cj4_t      *cj4;
+#ifdef NBNXN_BBXXXX
+    const float      *pbb_ci;
+#else
+    const nbnxn_bb_t *bb_ci;
+#endif
+    const real       *x_ci;
+    float            *d2l, d2;
+    int               w;
 #define PRUNE_LIST_CPU_ONE
 #ifdef PRUNE_LIST_CPU_ONE
-    int  ci_last=-1;
+    int  ci_last = -1;
 #endif
 
     d2l = nbl->work->d2;
 
-    bb_ci = nbl->work->bb_ci;
-    x_ci  = nbl->work->x_ci;
+#ifdef NBNXN_BBXXXX
+    pbb_ci = nbl->work->pbb_ci;
+#else
+    bb_ci  = nbl->work->bb_ci;
+#endif
+    x_ci   = nbl->work->x_ci;
 
     na_c = gridj->na_c;
 
-    for(cjo=0; cjo<gridj->nsubc[scj]; cjo++)
+    for (cjo = 0; cjo < gridj->nsubc[scj]; cjo++)
     {
         cj4_ind   = (nbl->work->cj_ind >> NBNXN_GPU_JGROUP_SIZE_2LOG);
         cj_offset = nbl->work->cj_ind - cj4_ind*NBNXN_GPU_JGROUP_SIZE;
@@ -2943,15 +3014,15 @@ static void make_cluster_list_supersub(const nbnxn_search_t nbs,
         }
 
 #ifdef NBNXN_BBXXXX
-        /* Determine all ci1 bb distances in one call with SSE */
-        subc_bb_dist2_sse_xxxx(gridj->bb+(cj>>STRIDE_PBB_2LOG)*NNBSBB_XXXX+(cj & (STRIDE_PBB-1)),
-                               ci1,bb_ci,d2l);
+        /* Determine all ci1 bb distances in one call with SIMD4 */
+        subc_bb_dist2_simd4_xxxx(gridj->pbb+(cj>>STRIDE_PBB_2LOG)*NNBSBB_XXXX+(cj & (STRIDE_PBB-1)),
+                                 ci1, pbb_ci, d2l);
         *ndistc += na_c*2;
 #endif
 
         npair = 0;
         /* We use a fixed upper-bound instead of ci1 to help optimization */
-        for(ci=0; ci<GPU_NSUBCELL; ci++)
+        for (ci = 0; ci < GPU_NSUBCELL; ci++)
         {
             if (ci == ci1)
             {
@@ -2960,7 +3031,7 @@ static void make_cluster_list_supersub(const nbnxn_search_t nbs,
 
 #ifndef NBNXN_BBXXXX
             /* Determine the bb distance between ci and cj */
-            d2l[ci] = subc_bb_dist2(ci,bb_ci,cj,gridj->bb);
+            d2l[ci]  = subc_bb_dist2(ci, bb_ci, cj, gridj->bb);
             *ndistc += 2;
 #endif
             d2 = d2l[ci];
@@ -2973,7 +3044,13 @@ static void make_cluster_list_supersub(const nbnxn_search_t nbs,
              */
             *ndistc += na_c*na_c;
             if (d2 < rbb2 ||
-                (d2 < rl2 && subc_in_range_x(na_c,ci,x_ci,cj_gl,stride,x,rl2)))
+                (d2 < rl2 &&
+#ifdef NBNXN_PBB_SIMD4
+                 subc_in_range_simd4
+#else
+                 subc_in_range_x
+#endif
+                     (na_c, ci, x_ci, cj_gl, stride, x, rl2)))
 #else
             /* Check if the distance between the two bounding boxes
              * in within the pair-list cut-off.
@@ -3000,12 +3077,12 @@ static void make_cluster_list_supersub(const nbnxn_search_t nbs,
         {
             /* Avoid using function pointers here, as it's slower */
             if (
-#ifdef NBNXN_PBB_SSE
-                !subc_in_range_sse8
+#ifdef NBNXN_PBB_SIMD4
+                !subc_in_range_simd4
 #else
                 !subc_in_range_x
 #endif
-                                (na_c,ci_last,x_ci,cj_gl,stride,x,rl2))
+                    (na_c, ci_last, x_ci, cj_gl, stride, x, rl2))
             {
                 imask &= ~(1U << (cj_offset*GPU_NSUBCELL+ci_last));
                 npair--;
@@ -3023,11 +3100,11 @@ static void make_cluster_list_supersub(const nbnxn_search_t nbs,
              */
             if (sci_equals_scj)
             {
-                set_self_and_newton_excls_supersub(nbl,cj4_ind,cj_offset,cjo);
+                set_self_and_newton_excls_supersub(nbl, cj4_ind, cj_offset, cjo);
             }
 
             /* Copy the cluster interaction mask to the list */
-            for(w=0; w<NWARP; w++)
+            for (w = 0; w < NWARP; w++)
             {
                 cj4->imei[w].imask |= imask;
             }
@@ -3048,25 +3125,25 @@ static void make_cluster_list_supersub(const nbnxn_search_t nbs,
  * as masks in the pair-list for simple list i-entry nbl_ci
  */
 static void set_ci_top_excls(const nbnxn_search_t nbs,
-                             nbnxn_pairlist_t *nbl,
-                             gmx_bool diagRemoved,
-                             int na_ci_2log,
-                             int na_cj_2log,
-                             const nbnxn_ci_t *nbl_ci,
-                             const t_blocka *excl)
+                             nbnxn_pairlist_t    *nbl,
+                             gmx_bool             diagRemoved,
+                             int                  na_ci_2log,
+                             int                  na_cj_2log,
+                             const nbnxn_ci_t    *nbl_ci,
+                             const t_blocka      *excl)
 {
-    const int *cell;
-    int ci;
-    int cj_ind_first,cj_ind_last;
-    int cj_first,cj_last;
-    int ndirect;
-    int i,ai,aj,si,eind,ge,se;
-    int found,cj_ind_0,cj_ind_1,cj_ind_m;
-    int cj_m;
-    gmx_bool Found_si;
-    int si_ind;
+    const int    *cell;
+    int           ci;
+    int           cj_ind_first, cj_ind_last;
+    int           cj_first, cj_last;
+    int           ndirect;
+    int           i, ai, aj, si, eind, ge, se;
+    int           found, cj_ind_0, cj_ind_1, cj_ind_m;
+    int           cj_m;
+    gmx_bool      Found_si;
+    int           si_ind;
     nbnxn_excl_t *nbl_excl;
-    int inner_i,inner_e;
+    int           inner_i, inner_e;
 
     cell = nbs->cell;
 
@@ -3097,11 +3174,11 @@ static void set_ci_top_excls(const nbnxn_search_t nbs,
             ndirect++;
         }
     }
-#ifdef NBNXN_SEARCH_BB_SSE
+#ifdef NBNXN_SEARCH_BB_SIMD4
     else
     {
         while (cj_ind_first + ndirect <= cj_ind_last &&
-               nbl->cj[cj_ind_first+ndirect].cj == ci_to_cj(na_cj_2log,ci) + ndirect)
+               nbl->cj[cj_ind_first+ndirect].cj == ci_to_cj(na_cj_2log, ci) + ndirect)
         {
             ndirect++;
         }
@@ -3109,7 +3186,7 @@ static void set_ci_top_excls(const nbnxn_search_t nbs,
 #endif
 
     /* Loop over the atoms in the i super-cell */
-    for(i=0; i<nbl->na_sc; i++)
+    for (i = 0; i < nbl->na_sc; i++)
     {
         ai = nbs->a[ci*nbl->na_sc+i];
         if (ai >= 0)
@@ -3117,7 +3194,7 @@ static void set_ci_top_excls(const nbnxn_search_t nbs,
             si  = (i>>na_ci_2log);
 
             /* Loop over the topology-based exclusions for this i-atom */
-            for(eind=excl->index[ai]; eind<excl->index[ai+1]; eind++)
+            for (eind = excl->index[ai]; eind < excl->index[ai+1]; eind++)
             {
                 aj = excl->a[eind];
 
@@ -3150,7 +3227,7 @@ static void set_ci_top_excls(const nbnxn_search_t nbs,
                     else
                     {
                         /* Search for se using bisection */
-                        found = -1;
+                        found    = -1;
                         cj_ind_0 = cj_ind_first + ndirect;
                         cj_ind_1 = cj_ind_last + 1;
                         while (found == -1 && cj_ind_0 < cj_ind_1)
@@ -3180,6 +3257,12 @@ static void set_ci_top_excls(const nbnxn_search_t nbs,
                         inner_e = ge - (se << na_cj_2log);
 
                         nbl->cj[found].excl &= ~(1U<<((inner_i<<na_cj_2log) + inner_e));
+/* The next code line is usually not needed. We do not want to version
+ * away the above line, because there is logic that relies on being
+ * able to detect easily whether any exclusions exist. */
+#if (defined GMX_SIMD_IBM_QPX)
+                        nbl->cj[found].interaction_mask_indices[inner_i] &= ~(1U << inner_e);
+#endif
                     }
                 }
             }
@@ -3187,108 +3270,510 @@ static void set_ci_top_excls(const nbnxn_search_t nbs,
     }
 }
 
-/* Set all atom-pair exclusions from the topology stored in excl
- * as masks in the pair-list for i-super-cell entry nbl_sci
- */
-static void set_sci_top_excls(const nbnxn_search_t nbs,
-                              nbnxn_pairlist_t *nbl,
-                              gmx_bool diagRemoved,
-                              int na_c_2log,
-                              const nbnxn_sci_t *nbl_sci,
-                              const t_blocka *excl)
+/* Add a new i-entry to the FEP list and copy the i-properties */
+static gmx_inline void fep_list_new_nri_copy(t_nblist *nlist)
 {
-    const int *cell;
-    int na_c;
-    int sci;
-    int cj_ind_first,cj_ind_last;
-    int cj_first,cj_last;
-    int ndirect;
-    int i,ai,aj,si,eind,ge,se;
-    int found,cj_ind_0,cj_ind_1,cj_ind_m;
-    int cj_m;
-    gmx_bool Found_si;
-    int si_ind;
-    nbnxn_excl_t *nbl_excl;
-    int inner_i,inner_e,w;
+    /* Add a new i-entry */
+    nlist->nri++;
 
-    cell = nbs->cell;
+    assert(nlist->nri < nlist->maxnri);
 
-    na_c = nbl->na_ci;
+    /* Duplicate the last i-entry, except for jindex, which continues */
+    nlist->iinr[nlist->nri]   = nlist->iinr[nlist->nri-1];
+    nlist->shift[nlist->nri]  = nlist->shift[nlist->nri-1];
+    nlist->gid[nlist->nri]    = nlist->gid[nlist->nri-1];
+    nlist->jindex[nlist->nri] = nlist->nrj;
+}
 
-    if (nbl_sci->cj4_ind_end == nbl_sci->cj4_ind_start)
+/* For load balancing of the free-energy lists over threads, we set
+ * the maximum nrj size of an i-entry to 40. This leads to good
+ * load balancing in the worst case scenario of a single perturbed
+ * particle on 16 threads, while not introducing significant overhead.
+ * Note that half of the perturbed pairs will anyhow end up in very small lists,
+ * since non perturbed i-particles will see few perturbed j-particles).
+ */
+const int max_nrj_fep = 40;
+
+/* Exclude the perturbed pairs from the Verlet list. This is only done to avoid
+ * singularities for overlapping particles (0/0), since the charges and
+ * LJ parameters have been zeroed in the nbnxn data structure.
+ * Simultaneously make a group pair list for the perturbed pairs.
+ */
+static void make_fep_list(const nbnxn_search_t    nbs,
+                          const nbnxn_atomdata_t *nbat,
+                          nbnxn_pairlist_t       *nbl,
+                          gmx_bool                bDiagRemoved,
+                          nbnxn_ci_t             *nbl_ci,
+                          const nbnxn_grid_t     *gridi,
+                          const nbnxn_grid_t     *gridj,
+                          t_nblist               *nlist)
+{
+    int      ci, cj_ind_start, cj_ind_end, cj_ind, cja, cjr;
+    int      nri_max;
+    int      ngid, gid_i = 0, gid_j, gid;
+    int      egp_shift, egp_mask;
+    int      gid_cj = 0;
+    int      i, j, ind_i, ind_j, ai, aj;
+    int      nri;
+    gmx_bool bFEP_i, bFEP_i_all;
+
+    if (nbl_ci->cj_ind_end == nbl_ci->cj_ind_start)
     {
         /* Empty list */
         return;
     }
 
-    sci = nbl_sci->sci;
-
-    cj_ind_first = nbl_sci->cj4_ind_start*NBNXN_GPU_JGROUP_SIZE;
-    cj_ind_last  = nbl->work->cj_ind - 1;
+    ci = nbl_ci->ci;
 
-    cj_first = nbl->cj4[nbl_sci->cj4_ind_start].cj[0];
-    cj_last  = nbl_cj(nbl,cj_ind_last);
+    cj_ind_start = nbl_ci->cj_ind_start;
+    cj_ind_end   = nbl_ci->cj_ind_end;
 
-    /* Determine how many contiguous j-clusters we have starting
-     * from the first i-cluster. This number can be used to directly
-     * calculate j-cluster indices for excluded atoms.
+    /* In worst case we have alternating energy groups
+     * and create #atom-pair lists, which means we need the size
+     * of a cluster pair (na_ci*na_cj) times the number of cj's.
      */
-    ndirect = 0;
-    while (cj_ind_first + ndirect <= cj_ind_last &&
-           nbl_cj(nbl,cj_ind_first+ndirect) == sci*GPU_NSUBCELL + ndirect)
+    nri_max = nbl->na_ci*nbl->na_cj*(cj_ind_end - cj_ind_start);
+    if (nlist->nri + nri_max > nlist->maxnri)
     {
-        ndirect++;
+        nlist->maxnri = over_alloc_large(nlist->nri + nri_max);
+        reallocate_nblist(nlist);
     }
 
-    /* Loop over the atoms in the i super-cell */
-    for(i=0; i<nbl->na_sc; i++)
+    ngid = nbat->nenergrp;
+
+    if (ngid*gridj->na_cj > sizeof(gid_cj)*8)
     {
-        ai = nbs->a[sci*nbl->na_sc+i];
+        gmx_fatal(FARGS, "The Verlet scheme with %dx%d kernels and free-energy only supports up to %d energy groups",
+                  gridi->na_c, gridj->na_cj, (sizeof(gid_cj)*8)/gridj->na_cj);
+    }
+
+    egp_shift = nbat->neg_2log;
+    egp_mask  = (1<<nbat->neg_2log) - 1;
+
+    /* Loop over the atoms in the i sub-cell */
+    bFEP_i_all = TRUE;
+    for (i = 0; i < nbl->na_ci; i++)
+    {
+        ind_i = ci*nbl->na_ci + i;
+        ai    = nbs->a[ind_i];
         if (ai >= 0)
         {
-            si  = (i>>na_c_2log);
+            nri                  = nlist->nri;
+            nlist->jindex[nri+1] = nlist->jindex[nri];
+            nlist->iinr[nri]     = ai;
+            /* The actual energy group pair index is set later */
+            nlist->gid[nri]      = 0;
+            nlist->shift[nri]    = nbl_ci->shift & NBNXN_CI_SHIFT;
 
-            /* Loop over the topology-based exclusions for this i-atom */
-            for(eind=excl->index[ai]; eind<excl->index[ai+1]; eind++)
+            bFEP_i = gridi->fep[ci - gridi->cell0] & (1 << i);
+
+            bFEP_i_all = bFEP_i_all && bFEP_i;
+
+            if ((nlist->nrj + cj_ind_end - cj_ind_start)*nbl->na_cj > nlist->maxnrj)
             {
-                aj = excl->a[eind];
+                nlist->maxnrj = over_alloc_small((nlist->nrj + cj_ind_end - cj_ind_start)*nbl->na_cj);
+                srenew(nlist->jjnr,     nlist->maxnrj);
+                srenew(nlist->excl_fep, nlist->maxnrj);
+            }
 
-                if (aj == ai)
-                {
-                    /* The self exclusion are already set, save some time */
-                    continue;
-                }
+            if (ngid > 1)
+            {
+                gid_i = (nbat->energrp[ci] >> (egp_shift*i)) & egp_mask;
+            }
 
-                ge = cell[aj];
+            for (cj_ind = cj_ind_start; cj_ind < cj_ind_end; cj_ind++)
+            {
+                unsigned int fep_cj;
 
-                /* Without shifts we only calculate interactions j>i
-                 * for one-way pair-lists.
-                 */
-                if (diagRemoved && ge <= sci*nbl->na_sc + i)
+                cja = nbl->cj[cj_ind].cj;
+
+                if (gridj->na_cj == gridj->na_c)
                 {
-                    continue;
+                    cjr    = cja - gridj->cell0;
+                    fep_cj = gridj->fep[cjr];
+                    if (ngid > 1)
+                    {
+                        gid_cj = nbat->energrp[cja];
+                    }
                 }
-
-                se = ge>>na_c_2log;
-                /* Could the cluster se be in our list? */
-                if (se >= cj_first && se <= cj_last)
+                else if (2*gridj->na_cj == gridj->na_c)
                 {
-                    if (se < cj_first + ndirect)
+                    cjr    = cja - gridj->cell0*2;
+                    /* Extract half of the ci fep/energrp mask */
+                    fep_cj = (gridj->fep[cjr>>1] >> ((cjr&1)*gridj->na_cj)) & ((1<<gridj->na_cj) - 1);
+                    if (ngid > 1)
                     {
-                        /* We can calculate cj_ind directly from se */
-                        found = cj_ind_first + se - cj_first;
+                        gid_cj = nbat->energrp[cja>>1] >> ((cja&1)*gridj->na_cj*egp_shift) & ((1<<(gridj->na_cj*egp_shift)) - 1);
                     }
-                    else
+                }
+                else
+                {
+                    cjr    = cja - (gridj->cell0>>1);
+                    /* Combine two ci fep masks/energrp */
+                    fep_cj = gridj->fep[cjr*2] + (gridj->fep[cjr*2+1] << gridj->na_c);
+                    if (ngid > 1)
                     {
-                        /* Search for se using bisection */
-                        found = -1;
-                        cj_ind_0 = cj_ind_first + ndirect;
-                        cj_ind_1 = cj_ind_last + 1;
-                        while (found == -1 && cj_ind_0 < cj_ind_1)
-                        {
+                        gid_cj = nbat->energrp[cja*2] + (nbat->energrp[cja*2+1] << (gridj->na_c*egp_shift));
+                    }
+                }
+
+                if (bFEP_i || fep_cj != 0)
+                {
+                    for (j = 0; j < nbl->na_cj; j++)
+                    {
+                        /* Is this interaction perturbed and not excluded? */
+                        ind_j = cja*nbl->na_cj + j;
+                        aj    = nbs->a[ind_j];
+                        if (aj >= 0 &&
+                            (bFEP_i || (fep_cj & (1 << j))) &&
+                            (!bDiagRemoved || ind_j >= ind_i))
+                        {
+                            if (ngid > 1)
+                            {
+                                gid_j = (gid_cj >> (j*egp_shift)) & egp_mask;
+                                gid   = GID(gid_i, gid_j, ngid);
+
+                                if (nlist->nrj > nlist->jindex[nri] &&
+                                    nlist->gid[nri] != gid)
+                                {
+                                    /* Energy group pair changed: new list */
+                                    fep_list_new_nri_copy(nlist);
+                                    nri = nlist->nri;
+                                }
+                                nlist->gid[nri] = gid;
+                            }
+
+                            if (nlist->nrj - nlist->jindex[nri] >= max_nrj_fep)
+                            {
+                                fep_list_new_nri_copy(nlist);
+                                nri = nlist->nri;
+                            }
+
+                            /* Add it to the FEP list */
+                            nlist->jjnr[nlist->nrj]     = aj;
+                            nlist->excl_fep[nlist->nrj] = (nbl->cj[cj_ind].excl >> (i*nbl->na_cj + j)) & 1;
+                            nlist->nrj++;
+
+                            /* Exclude it from the normal list.
+                             * Note that the charge has been set to zero,
+                             * but we need to avoid 0/0, as perturbed atoms
+                             * can be on top of each other.
+                             */
+                            nbl->cj[cj_ind].excl &= ~(1U << (i*nbl->na_cj + j));
+                        }
+                    }
+                }
+            }
+
+            if (nlist->nrj > nlist->jindex[nri])
+            {
+                /* Actually add this new, non-empty, list */
+                nlist->nri++;
+                nlist->jindex[nlist->nri] = nlist->nrj;
+            }
+        }
+    }
+
+    if (bFEP_i_all)
+    {
+        /* All interactions are perturbed, we can skip this entry */
+        nbl_ci->cj_ind_end = cj_ind_start;
+    }
+}
+
+/* Return the index of atom a within a cluster */
+static gmx_inline int cj_mod_cj4(int cj)
+{
+    return cj & (NBNXN_GPU_JGROUP_SIZE - 1);
+}
+
+/* Convert a j-cluster to a cj4 group */
+static gmx_inline int cj_to_cj4(int cj)
+{
+    return cj >> NBNXN_GPU_JGROUP_SIZE_2LOG;
+}
+
+/* Return the index of an j-atom within a warp */
+static gmx_inline int a_mod_wj(int a)
+{
+    return a & (NBNXN_GPU_CLUSTER_SIZE/2 - 1);
+}
+
+/* As make_fep_list above, but for super/sub lists. */
+static void make_fep_list_supersub(const nbnxn_search_t    nbs,
+                                   const nbnxn_atomdata_t *nbat,
+                                   nbnxn_pairlist_t       *nbl,
+                                   gmx_bool                bDiagRemoved,
+                                   const nbnxn_sci_t      *nbl_sci,
+                                   real                    shx,
+                                   real                    shy,
+                                   real                    shz,
+                                   real                    rlist_fep2,
+                                   const nbnxn_grid_t     *gridi,
+                                   const nbnxn_grid_t     *gridj,
+                                   t_nblist               *nlist)
+{
+    int                sci, cj4_ind_start, cj4_ind_end, cj4_ind, gcj, cjr;
+    int                nri_max;
+    int                c, c_abs;
+    int                i, j, ind_i, ind_j, ai, aj;
+    int                nri;
+    gmx_bool           bFEP_i;
+    real               xi, yi, zi;
+    const nbnxn_cj4_t *cj4;
+
+    if (nbl_sci->cj4_ind_end == nbl_sci->cj4_ind_start)
+    {
+        /* Empty list */
+        return;
+    }
+
+    sci = nbl_sci->sci;
+
+    cj4_ind_start = nbl_sci->cj4_ind_start;
+    cj4_ind_end   = nbl_sci->cj4_ind_end;
+
+    /* Here we process one super-cell, max #atoms na_sc, versus a list
+     * cj4 entries, each with max NBNXN_GPU_JGROUP_SIZE cj's, each
+     * of size na_cj atoms.
+     * On the GPU we don't support energy groups (yet).
+     * So for each of the na_sc i-atoms, we need max one FEP list
+     * for each max_nrj_fep j-atoms.
+     */
+    nri_max = nbl->na_sc*nbl->na_cj*(1 + ((cj4_ind_end - cj4_ind_start)*NBNXN_GPU_JGROUP_SIZE)/max_nrj_fep);
+    if (nlist->nri + nri_max > nlist->maxnri)
+    {
+        nlist->maxnri = over_alloc_large(nlist->nri + nri_max);
+        reallocate_nblist(nlist);
+    }
+
+    /* Loop over the atoms in the i super-cluster */
+    for (c = 0; c < GPU_NSUBCELL; c++)
+    {
+        c_abs = sci*GPU_NSUBCELL + c;
+
+        for (i = 0; i < nbl->na_ci; i++)
+        {
+            ind_i = c_abs*nbl->na_ci + i;
+            ai    = nbs->a[ind_i];
+            if (ai >= 0)
+            {
+                nri                  = nlist->nri;
+                nlist->jindex[nri+1] = nlist->jindex[nri];
+                nlist->iinr[nri]     = ai;
+                /* With GPUs, energy groups are not supported */
+                nlist->gid[nri]      = 0;
+                nlist->shift[nri]    = nbl_sci->shift & NBNXN_CI_SHIFT;
+
+                bFEP_i = (gridi->fep[c_abs - gridi->cell0] & (1 << i));
+
+                xi = nbat->x[ind_i*nbat->xstride+XX] + shx;
+                yi = nbat->x[ind_i*nbat->xstride+YY] + shy;
+                zi = nbat->x[ind_i*nbat->xstride+ZZ] + shz;
+
+                if ((nlist->nrj + cj4_ind_end - cj4_ind_start)*NBNXN_GPU_JGROUP_SIZE*nbl->na_cj > nlist->maxnrj)
+                {
+                    nlist->maxnrj = over_alloc_small((nlist->nrj + cj4_ind_end - cj4_ind_start)*NBNXN_GPU_JGROUP_SIZE*nbl->na_cj);
+                    srenew(nlist->jjnr,     nlist->maxnrj);
+                    srenew(nlist->excl_fep, nlist->maxnrj);
+                }
+
+                for (cj4_ind = cj4_ind_start; cj4_ind < cj4_ind_end; cj4_ind++)
+                {
+                    cj4 = &nbl->cj4[cj4_ind];
+
+                    for (gcj = 0; gcj < NBNXN_GPU_JGROUP_SIZE; gcj++)
+                    {
+                        unsigned int fep_cj;
+
+                        if ((cj4->imei[0].imask & (1U << (gcj*GPU_NSUBCELL + c))) == 0)
+                        {
+                            /* Skip this ci for this cj */
+                            continue;
+                        }
+
+                        cjr = cj4->cj[gcj] - gridj->cell0*GPU_NSUBCELL;
+
+                        fep_cj = gridj->fep[cjr];
+
+                        if (bFEP_i || fep_cj != 0)
+                        {
+                            for (j = 0; j < nbl->na_cj; j++)
+                            {
+                                /* Is this interaction perturbed and not excluded? */
+                                ind_j = (gridj->cell0*GPU_NSUBCELL + cjr)*nbl->na_cj + j;
+                                aj    = nbs->a[ind_j];
+                                if (aj >= 0 &&
+                                    (bFEP_i || (fep_cj & (1 << j))) &&
+                                    (!bDiagRemoved || ind_j >= ind_i))
+                                {
+                                    nbnxn_excl_t *excl;
+                                    int           excl_pair;
+                                    unsigned int  excl_bit;
+                                    real          dx, dy, dz;
+
+                                    get_nbl_exclusions_1(nbl, cj4_ind, j>>2, &excl);
+
+                                    excl_pair = a_mod_wj(j)*nbl->na_ci + i;
+                                    excl_bit  = (1U << (gcj*GPU_NSUBCELL + c));
+
+                                    dx = nbat->x[ind_j*nbat->xstride+XX] - xi;
+                                    dy = nbat->x[ind_j*nbat->xstride+YY] - yi;
+                                    dz = nbat->x[ind_j*nbat->xstride+ZZ] - zi;
+
+                                    /* The unpruned GPU list has more than 2/3
+                                     * of the atom pairs beyond rlist. Using
+                                     * this list will cause a lot of overhead
+                                     * in the CPU FEP kernels, especially
+                                     * relative to the fast GPU kernels.
+                                     * So we prune the FEP list here.
+                                     */
+                                    if (dx*dx + dy*dy + dz*dz < rlist_fep2)
+                                    {
+                                        if (nlist->nrj - nlist->jindex[nri] >= max_nrj_fep)
+                                        {
+                                            fep_list_new_nri_copy(nlist);
+                                            nri = nlist->nri;
+                                        }
+
+                                        /* Add it to the FEP list */
+                                        nlist->jjnr[nlist->nrj]     = aj;
+                                        nlist->excl_fep[nlist->nrj] = (excl->pair[excl_pair] & excl_bit) ? 1 : 0;
+                                        nlist->nrj++;
+                                    }
+
+                                    /* Exclude it from the normal list.
+                                     * Note that the charge and LJ parameters have
+                                     * been set to zero, but we need to avoid 0/0,
+                                     * as perturbed atoms can be on top of each other.
+                                     */
+                                    excl->pair[excl_pair] &= ~excl_bit;
+                                }
+                            }
+
+                            /* Note that we could mask out this pair in imask
+                             * if all i- and/or all j-particles are perturbed.
+                             * But since the perturbed pairs on the CPU will
+                             * take an order of magnitude more time, the GPU
+                             * will finish before the CPU and there is no gain.
+                             */
+                        }
+                    }
+                }
+
+                if (nlist->nrj > nlist->jindex[nri])
+                {
+                    /* Actually add this new, non-empty, list */
+                    nlist->nri++;
+                    nlist->jindex[nlist->nri] = nlist->nrj;
+                }
+            }
+        }
+    }
+}
+
+/* Set all atom-pair exclusions from the topology stored in excl
+ * as masks in the pair-list for i-super-cell entry nbl_sci
+ */
+static void set_sci_top_excls(const nbnxn_search_t nbs,
+                              nbnxn_pairlist_t    *nbl,
+                              gmx_bool             diagRemoved,
+                              int                  na_c_2log,
+                              const nbnxn_sci_t   *nbl_sci,
+                              const t_blocka      *excl)
+{
+    const int    *cell;
+    int           na_c;
+    int           sci;
+    int           cj_ind_first, cj_ind_last;
+    int           cj_first, cj_last;
+    int           ndirect;
+    int           i, ai, aj, si, eind, ge, se;
+    int           found, cj_ind_0, cj_ind_1, cj_ind_m;
+    int           cj_m;
+    gmx_bool      Found_si;
+    int           si_ind;
+    nbnxn_excl_t *nbl_excl;
+    int           inner_i, inner_e, w;
+
+    cell = nbs->cell;
+
+    na_c = nbl->na_ci;
+
+    if (nbl_sci->cj4_ind_end == nbl_sci->cj4_ind_start)
+    {
+        /* Empty list */
+        return;
+    }
+
+    sci = nbl_sci->sci;
+
+    cj_ind_first = nbl_sci->cj4_ind_start*NBNXN_GPU_JGROUP_SIZE;
+    cj_ind_last  = nbl->work->cj_ind - 1;
+
+    cj_first = nbl->cj4[nbl_sci->cj4_ind_start].cj[0];
+    cj_last  = nbl_cj(nbl, cj_ind_last);
+
+    /* Determine how many contiguous j-clusters we have starting
+     * from the first i-cluster. This number can be used to directly
+     * calculate j-cluster indices for excluded atoms.
+     */
+    ndirect = 0;
+    while (cj_ind_first + ndirect <= cj_ind_last &&
+           nbl_cj(nbl, cj_ind_first+ndirect) == sci*GPU_NSUBCELL + ndirect)
+    {
+        ndirect++;
+    }
+
+    /* Loop over the atoms in the i super-cell */
+    for (i = 0; i < nbl->na_sc; i++)
+    {
+        ai = nbs->a[sci*nbl->na_sc+i];
+        if (ai >= 0)
+        {
+            si  = (i>>na_c_2log);
+
+            /* Loop over the topology-based exclusions for this i-atom */
+            for (eind = excl->index[ai]; eind < excl->index[ai+1]; eind++)
+            {
+                aj = excl->a[eind];
+
+                if (aj == ai)
+                {
+                    /* The self exclusion are already set, save some time */
+                    continue;
+                }
+
+                ge = cell[aj];
+
+                /* Without shifts we only calculate interactions j>i
+                 * for one-way pair-lists.
+                 */
+                if (diagRemoved && ge <= sci*nbl->na_sc + i)
+                {
+                    continue;
+                }
+
+                se = ge>>na_c_2log;
+                /* Could the cluster se be in our list? */
+                if (se >= cj_first && se <= cj_last)
+                {
+                    if (se < cj_first + ndirect)
+                    {
+                        /* We can calculate cj_ind directly from se */
+                        found = cj_ind_first + se - cj_first;
+                    }
+                    else
+                    {
+                        /* Search for se using bisection */
+                        found    = -1;
+                        cj_ind_0 = cj_ind_first + ndirect;
+                        cj_ind_1 = cj_ind_last + 1;
+                        while (found == -1 && cj_ind_0 < cj_ind_1)
+                        {
                             cj_ind_m = (cj_ind_0 + cj_ind_1)>>1;
 
-                            cj_m = nbl_cj(nbl,cj_ind_m);
+                            cj_m = nbl_cj(nbl, cj_ind_m);
 
                             if (se == cj_m)
                             {
@@ -3310,26 +3795,15 @@ static void set_sci_top_excls(const nbnxn_search_t nbs,
                         inner_i = i  - si*na_c;
                         inner_e = ge - se*na_c;
 
-/* Macro for getting the index of atom a within a cluster */
-#define AMODCJ4(a)  ((a) & (NBNXN_GPU_JGROUP_SIZE - 1))
-/* Macro for converting an atom number to a cluster number */
-#define A2CJ4(a)    ((a) >> NBNXN_GPU_JGROUP_SIZE_2LOG)
-/* Macro for getting the index of an i-atom within a warp */
-#define AMODWI(a)   ((a) & (NBNXN_GPU_CLUSTER_SIZE/2 - 1))
-
-                        if (nbl_imask0(nbl,found) & (1U << (AMODCJ4(found)*GPU_NSUBCELL + si)))
+                        if (nbl_imask0(nbl, found) & (1U << (cj_mod_cj4(found)*GPU_NSUBCELL + si)))
                         {
                             w       = (inner_e >> 2);
 
-                            get_nbl_exclusions_1(nbl,A2CJ4(found),w,&nbl_excl);
+                            get_nbl_exclusions_1(nbl, cj_to_cj4(found), w, &nbl_excl);
 
-                            nbl_excl->pair[AMODWI(inner_e)*nbl->na_ci+inner_i] &=
-                                ~(1U << (AMODCJ4(found)*GPU_NSUBCELL + si));
+                            nbl_excl->pair[a_mod_wj(inner_e)*nbl->na_ci+inner_i] &=
+                                ~(1U << (cj_mod_cj4(found)*GPU_NSUBCELL + si));
                         }
-
-#undef AMODCJ4
-#undef A2CJ4
-#undef AMODWI
                     }
                 }
             }
@@ -3338,32 +3812,31 @@ static void set_sci_top_excls(const nbnxn_search_t nbs,
 }
 
 /* Reallocate the simple ci list for at least n entries */
-static void nb_realloc_ci(nbnxn_pairlist_t *nbl,int n)
+static void nb_realloc_ci(nbnxn_pairlist_t *nbl, int n)
 {
     nbl->ci_nalloc = over_alloc_small(n);
     nbnxn_realloc_void((void **)&nbl->ci,
                        nbl->nci*sizeof(*nbl->ci),
                        nbl->ci_nalloc*sizeof(*nbl->ci),
-                       nbl->alloc,nbl->free);
+                       nbl->alloc, nbl->free);
 }
 
 /* Reallocate the super-cell sci list for at least n entries */
-static void nb_realloc_sci(nbnxn_pairlist_t *nbl,int n)
+static void nb_realloc_sci(nbnxn_pairlist_t *nbl, int n)
 {
     nbl->sci_nalloc = over_alloc_small(n);
     nbnxn_realloc_void((void **)&nbl->sci,
                        nbl->nsci*sizeof(*nbl->sci),
                        nbl->sci_nalloc*sizeof(*nbl->sci),
-                       nbl->alloc,nbl->free);
+                       nbl->alloc, nbl->free);
 }
 
 /* Make a new ci entry at index nbl->nci */
-static void new_ci_entry(nbnxn_pairlist_t *nbl,int ci,int shift,int flags,
-                         nbnxn_list_work_t *work)
+static void new_ci_entry(nbnxn_pairlist_t *nbl, int ci, int shift, int flags)
 {
     if (nbl->nci + 1 > nbl->ci_nalloc)
     {
-        nb_realloc_ci(nbl,nbl->nci+1);
+        nb_realloc_ci(nbl, nbl->nci+1);
     }
     nbl->ci[nbl->nci].ci            = ci;
     nbl->ci[nbl->nci].shift         = shift;
@@ -3374,12 +3847,11 @@ static void new_ci_entry(nbnxn_pairlist_t *nbl,int ci,int shift,int flags,
 }
 
 /* Make a new sci entry at index nbl->nsci */
-static void new_sci_entry(nbnxn_pairlist_t *nbl,int sci,int shift,int flags,
-                          nbnxn_list_work_t *work)
+static void new_sci_entry(nbnxn_pairlist_t *nbl, int sci, int shift)
 {
     if (nbl->nsci + 1 > nbl->sci_nalloc)
     {
-        nb_realloc_sci(nbl,nbl->nsci+1);
+        nb_realloc_sci(nbl, nbl->nsci+1);
     }
     nbl->sci[nbl->nsci].sci           = sci;
     nbl->sci[nbl->nsci].shift         = shift;
@@ -3390,38 +3862,38 @@ static void new_sci_entry(nbnxn_pairlist_t *nbl,int sci,int shift,int flags,
 /* Sort the simple j-list cj on exclusions.
  * Entries with exclusions will all be sorted to the beginning of the list.
  */
-static void sort_cj_excl(nbnxn_cj_t *cj,int ncj,
+static void sort_cj_excl(nbnxn_cj_t *cj, int ncj,
                          nbnxn_list_work_t *work)
 {
-    int jnew,j;
+    int jnew, j;
 
     if (ncj > work->cj_nalloc)
     {
         work->cj_nalloc = over_alloc_large(ncj);
-        srenew(work->cj,work->cj_nalloc);
+        srenew(work->cj, work->cj_nalloc);
     }
 
     /* Make a list of the j-cells involving exclusions */
     jnew = 0;
-    for(j=0; j<ncj; j++)
+    for (j = 0; j < ncj; j++)
     {
-        if (cj[j].excl != NBNXN_INT_MASK_ALL)
+        if (cj[j].excl != NBNXN_INTERACTION_MASK_ALL)
         {
             work->cj[jnew++] = cj[j];
         }
     }
     /* Check if there are exclusions at all or not just the first entry */
     if (!((jnew == 0) ||
-          (jnew == 1 && cj[0].excl != NBNXN_INT_MASK_ALL)))
+          (jnew == 1 && cj[0].excl != NBNXN_INTERACTION_MASK_ALL)))
     {
-        for(j=0; j<ncj; j++)
+        for (j = 0; j < ncj; j++)
         {
-            if (cj[j].excl == NBNXN_INT_MASK_ALL)
+            if (cj[j].excl == NBNXN_INTERACTION_MASK_ALL)
             {
                 work->cj[jnew++] = cj[j];
             }
         }
-        for(j=0; j<ncj; j++)
+        for (j = 0; j < ncj; j++)
         {
             cj[j] = work->cj[j];
         }
@@ -3439,7 +3911,7 @@ static void close_ci_entry_simple(nbnxn_pairlist_t *nbl)
     jlen = nbl->ci[nbl->nci].cj_ind_end - nbl->ci[nbl->nci].cj_ind_start;
     if (jlen > 0)
     {
-        sort_cj_excl(nbl->cj+nbl->ci[nbl->nci].cj_ind_start,jlen,nbl->work);
+        sort_cj_excl(nbl->cj+nbl->ci[nbl->nci].cj_ind_start, jlen, nbl->work);
 
         /* The counts below are used for non-bonded pair/flop counts
          * and should therefore match the available kernel setups.
@@ -3459,28 +3931,31 @@ static void close_ci_entry_simple(nbnxn_pairlist_t *nbl)
 }
 
 /* Split sci entry for load balancing on the GPU.
- * As we only now the current count on our own thread,
+ * Splitting ensures we have enough lists to fully utilize the whole GPU.
+ * With progBal we generate progressively smaller lists, which improves
+ * load balancing. As we only know the current count on our own thread,
  * we will need to estimate the current total amount of i-entries.
  * As the lists get concatenated later, this estimate depends
- * both on nthread and our own thread index thread.
+ * both on nthread and our own thread index.
  */
 static void split_sci_entry(nbnxn_pairlist_t *nbl,
-                            int nsp_max_av,gmx_bool progBal,int nc_bal,
-                            int thread,int nthread)
+                            int nsp_max_av, gmx_bool progBal, int nc_bal,
+                            int thread, int nthread)
 {
     int nsci_est;
     int nsp_max;
-    int cj4_start,cj4_end,j4len,cj4;
+    int cj4_start, cj4_end, j4len, cj4;
     int sci;
-    int nsp,nsp_sci,nsp_cj4,nsp_cj4_e,nsp_cj4_p;
+    int nsp, nsp_sci, nsp_cj4, nsp_cj4_e, nsp_cj4_p;
     int p;
 
-    /* Estimate the total numbers of ci's of the nblist combined
-     * over all threads using the target number of ci's.
-     */
-    nsci_est = nc_bal*thread/nthread + nbl->nsci;
     if (progBal)
     {
+        /* Estimate the total numbers of ci's of the nblist combined
+         * over all threads using the target number of ci's.
+         */
+        nsci_est = nc_bal*thread/nthread + nbl->nsci;
+
         /* The first ci blocks should be larger, to avoid overhead.
          * The last ci blocks should be smaller, to improve load balancing.
          */
@@ -3494,7 +3969,7 @@ static void split_sci_entry(nbnxn_pairlist_t *nbl,
 
     cj4_start = nbl->sci[nbl->nsci-1].cj4_ind_start;
     cj4_end   = nbl->sci[nbl->nsci-1].cj4_ind_end;
-    j4len = cj4_end - cj4_start;
+    j4len     = cj4_end - cj4_start;
 
     if (j4len > 1 && j4len*GPU_NSUBCELL*NBNXN_GPU_JGROUP_SIZE > nsp_max)
     {
@@ -3502,46 +3977,46 @@ static void split_sci_entry(nbnxn_pairlist_t *nbl,
         nbl->nsci -= 1;
 
         sci        = nbl->nsci;
-        cj4        = cj4_start;
         nsp        = 0;
         nsp_sci    = 0;
         nsp_cj4_e  = 0;
         nsp_cj4    = 0;
-        while (cj4 < cj4_end)
+        for (cj4 = cj4_start; cj4 < cj4_end; cj4++)
         {
             nsp_cj4_p = nsp_cj4;
+            /* Count the number of cluster pairs in this cj4 group */
             nsp_cj4   = 0;
-            for(p=0; p<GPU_NSUBCELL*NBNXN_GPU_JGROUP_SIZE; p++)
+            for (p = 0; p < GPU_NSUBCELL*NBNXN_GPU_JGROUP_SIZE; p++)
             {
                 nsp_cj4 += (nbl->cj4[cj4].imei[0].imask >> p) & 1;
             }
-            nsp += nsp_cj4;
 
-            if (nsp > nsp_max && nsp > nsp_cj4)
+            if (nsp_cj4 > 0 && nsp + nsp_cj4 > nsp_max)
             {
+                /* Split the list at cj4 */
                 nbl->sci[sci].cj4_ind_end = cj4;
+                /* Create a new sci entry */
                 sci++;
                 nbl->nsci++;
                 if (nbl->nsci+1 > nbl->sci_nalloc)
                 {
-                    nb_realloc_sci(nbl,nbl->nsci+1);
+                    nb_realloc_sci(nbl, nbl->nsci+1);
                 }
                 nbl->sci[sci].sci           = nbl->sci[nbl->nsci-1].sci;
                 nbl->sci[sci].shift         = nbl->sci[nbl->nsci-1].shift;
                 nbl->sci[sci].cj4_ind_start = cj4;
-                nsp_sci   = nsp - nsp_cj4;
-                nsp_cj4_e = nsp_cj4_p;
-                nsp       = nsp_cj4;
+                nsp_sci                     = nsp;
+                nsp_cj4_e                   = nsp_cj4_p;
+                nsp                         = 0;
             }
-
-            cj4++;
+            nsp += nsp_cj4;
         }
 
-        /* Put the remaining cj4's in a new ci entry */
+        /* Put the remaining cj4's in the last sci entry */
         nbl->sci[sci].cj4_ind_end = cj4_end;
 
-        /* Possibly balance out the last two ci's
-         * by moving the last cj4 of the second last ci.
+        /* Possibly balance out the last two sci's
+         * by moving the last cj4 of the second last sci.
          */
         if (nsp_sci - nsp_cj4_e >= nsp + nsp_cj4_e)
         {
@@ -3549,7 +4024,6 @@ static void split_sci_entry(nbnxn_pairlist_t *nbl,
             nbl->sci[sci].cj4_ind_start--;
         }
 
-        sci++;
         nbl->nsci++;
     }
 }
@@ -3557,11 +4031,11 @@ static void split_sci_entry(nbnxn_pairlist_t *nbl,
 /* Clost this super/sub list i entry */
 static void close_ci_entry_supersub(nbnxn_pairlist_t *nbl,
                                     int nsp_max_av,
-                                    gmx_bool progBal,int nc_bal,
-                                    int thread,int nthread)
+                                    gmx_bool progBal, int nc_bal,
+                                    int thread, int nthread)
 {
-    int j4len,tlen;
-    int nb,b;
+    int j4len, tlen;
+    int nb, b;
 
     /* All content of the new ci entry have already been filled correctly,
      * we only need to increase the count here (for non empty lists).
@@ -3579,7 +4053,8 @@ static void close_ci_entry_supersub(nbnxn_pairlist_t *nbl,
 
         if (nsp_max_av > 0)
         {
-            split_sci_entry(nbl,nsp_max_av,progBal,nc_bal,thread,nthread);
+            /* Measure the size of the new entry and potentially split it */
+            split_sci_entry(nbl, nsp_max_av, progBal, nc_bal, thread, nthread);
         }
     }
 }
@@ -3608,34 +4083,43 @@ static void clear_pairlist(nbnxn_pairlist_t *nbl)
     nbl->work->ncj_hlj = 0;
 }
 
+/* Clears a group scheme pair list */
+static void clear_pairlist_fep(t_nblist *nl)
+{
+    nl->nri = 0;
+    nl->nrj = 0;
+    if (nl->jindex == NULL)
+    {
+        snew(nl->jindex, 1);
+    }
+    nl->jindex[0] = 0;
+}
+
 /* Sets a simple list i-cell bounding box, including PBC shift */
-static void set_icell_bb_simple(const float *bb,int ci,
-                                real shx,real shy,real shz,
-                                float *bb_ci)
+static gmx_inline void set_icell_bb_simple(const nbnxn_bb_t *bb, int ci,
+                                           real shx, real shy, real shz,
+                                           nbnxn_bb_t *bb_ci)
 {
-    int ia;
-
-    ia = ci*NNBSBB_B;
-    bb_ci[BBL_X] = bb[ia+BBL_X] + shx;
-    bb_ci[BBL_Y] = bb[ia+BBL_Y] + shy;
-    bb_ci[BBL_Z] = bb[ia+BBL_Z] + shz;
-    bb_ci[BBU_X] = bb[ia+BBU_X] + shx;
-    bb_ci[BBU_Y] = bb[ia+BBU_Y] + shy;
-    bb_ci[BBU_Z] = bb[ia+BBU_Z] + shz;
+    bb_ci->lower[BB_X] = bb[ci].lower[BB_X] + shx;
+    bb_ci->lower[BB_Y] = bb[ci].lower[BB_Y] + shy;
+    bb_ci->lower[BB_Z] = bb[ci].lower[BB_Z] + shz;
+    bb_ci->upper[BB_X] = bb[ci].upper[BB_X] + shx;
+    bb_ci->upper[BB_Y] = bb[ci].upper[BB_Y] + shy;
+    bb_ci->upper[BB_Z] = bb[ci].upper[BB_Z] + shz;
 }
 
+#ifdef NBNXN_BBXXXX
 /* Sets a super-cell and sub cell bounding boxes, including PBC shift */
-static void set_icell_bb_supersub(const float *bb,int ci,
-                                  real shx,real shy,real shz,
-                                  float *bb_ci)
+static void set_icell_bbxxxx_supersub(const float *bb, int ci,
+                                      real shx, real shy, real shz,
+                                      float *bb_ci)
 {
-    int ia,m,i;
+    int ia, m, i;
 
-#ifdef NBNXN_BBXXXX
     ia = ci*(GPU_NSUBCELL>>STRIDE_PBB_2LOG)*NNBSBB_XXXX;
-    for(m=0; m<(GPU_NSUBCELL>>STRIDE_PBB_2LOG)*NNBSBB_XXXX; m+=NNBSBB_XXXX)
+    for (m = 0; m < (GPU_NSUBCELL>>STRIDE_PBB_2LOG)*NNBSBB_XXXX; m += NNBSBB_XXXX)
     {
-        for(i=0; i<STRIDE_PBB; i++)
+        for (i = 0; i < STRIDE_PBB; i++)
         {
             bb_ci[m+0*STRIDE_PBB+i] = bb[ia+m+0*STRIDE_PBB+i] + shx;
             bb_ci[m+1*STRIDE_PBB+i] = bb[ia+m+1*STRIDE_PBB+i] + shy;
@@ -3645,32 +4129,36 @@ static void set_icell_bb_supersub(const float *bb,int ci,
             bb_ci[m+5*STRIDE_PBB+i] = bb[ia+m+5*STRIDE_PBB+i] + shz;
         }
     }
-#else
-    ia = ci*GPU_NSUBCELL*NNBSBB_B;
-    for(i=0; i<GPU_NSUBCELL*NNBSBB_B; i+=NNBSBB_B)
+}
+#endif
+
+/* Sets a super-cell and sub cell bounding boxes, including PBC shift */
+static void set_icell_bb_supersub(const nbnxn_bb_t *bb, int ci,
+                                  real shx, real shy, real shz,
+                                  nbnxn_bb_t *bb_ci)
+{
+    int i;
+
+    for (i = 0; i < GPU_NSUBCELL; i++)
     {
-        bb_ci[i+BBL_X] = bb[ia+i+BBL_X] + shx;
-        bb_ci[i+BBL_Y] = bb[ia+i+BBL_Y] + shy;
-        bb_ci[i+BBL_Z] = bb[ia+i+BBL_Z] + shz;
-        bb_ci[i+BBU_X] = bb[ia+i+BBU_X] + shx;
-        bb_ci[i+BBU_Y] = bb[ia+i+BBU_Y] + shy;
-        bb_ci[i+BBU_Z] = bb[ia+i+BBU_Z] + shz;
+        set_icell_bb_simple(bb, ci*GPU_NSUBCELL+i,
+                            shx, shy, shz,
+                            &bb_ci[i]);
     }
-#endif
 }
 
 /* Copies PBC shifted i-cell atom coordinates x,y,z to working array */
 static void icell_set_x_simple(int ci,
-                               real shx,real shy,real shz,
-                               int na_c,
-                               int stride,const real *x,
+                               real shx, real shy, real shz,
+                               int gmx_unused na_c,
+                               int stride, const real *x,
                                nbnxn_list_work_t *work)
 {
-    int  ia,i;
+    int  ia, i;
 
     ia = ci*NBNXN_CPU_CLUSTER_I_SIZE;
 
-    for(i=0; i<NBNXN_CPU_CLUSTER_I_SIZE; i++)
+    for (i = 0; i < NBNXN_CPU_CLUSTER_I_SIZE; i++)
     {
         work->x_ci[i*STRIDE_XYZ+XX] = x[(ia+i)*stride+XX] + shx;
         work->x_ci[i*STRIDE_XYZ+YY] = x[(ia+i)*stride+YY] + shy;
@@ -3680,18 +4168,18 @@ static void icell_set_x_simple(int ci,
 
 /* Copies PBC shifted super-cell atom coordinates x,y,z to working array */
 static void icell_set_x_supersub(int ci,
-                                 real shx,real shy,real shz,
+                                 real shx, real shy, real shz,
                                  int na_c,
-                                 int stride,const real *x,
+                                 int stride, const real *x,
                                  nbnxn_list_work_t *work)
 {
-    int  ia,i;
+    int   ia, i;
     real *x_ci;
 
     x_ci = work->x_ci;
 
     ia = ci*GPU_NSUBCELL*na_c;
-    for(i=0; i<GPU_NSUBCELL*na_c; i++)
+    for (i = 0; i < GPU_NSUBCELL*na_c; i++)
     {
         x_ci[i*DIM + XX] = x[(ia+i)*stride + XX] + shx;
         x_ci[i*DIM + YY] = x[(ia+i)*stride + YY] + shy;
@@ -3699,26 +4187,26 @@ static void icell_set_x_supersub(int ci,
     }
 }
 
-#ifdef NBNXN_SEARCH_BB_SSE
+#ifdef NBNXN_SEARCH_BB_SIMD4
 /* Copies PBC shifted super-cell packed atom coordinates to working array */
-static void icell_set_x_supersub_sse8(int ci,
-                                      real shx,real shy,real shz,
-                                      int na_c,
-                                      int stride,const real *x,
-                                      nbnxn_list_work_t *work)
+static void icell_set_x_supersub_simd4(int ci,
+                                       real shx, real shy, real shz,
+                                       int na_c,
+                                       int stride, const real *x,
+                                       nbnxn_list_work_t *work)
 {
-    int  si,io,ia,i,j;
+    int   si, io, ia, i, j;
     real *x_ci;
 
     x_ci = work->x_ci;
 
-    for(si=0; si<GPU_NSUBCELL; si++)
+    for (si = 0; si < GPU_NSUBCELL; si++)
     {
-        for(i=0; i<na_c; i+=STRIDE_PBB)
+        for (i = 0; i < na_c; i += STRIDE_PBB)
         {
             io = si*na_c + i;
             ia = ci*GPU_NSUBCELL*na_c + io;
-            for(j=0; j<STRIDE_PBB; j++)
+            for (j = 0; j < STRIDE_PBB; j++)
             {
                 x_ci[io*DIM + j + XX*STRIDE_PBB] = x[(ia+j)*stride+XX] + shx;
                 x_ci[io*DIM + j + YY*STRIDE_PBB] = x[(ia+j)*stride+YY] + shy;
@@ -3729,21 +4217,71 @@ static void icell_set_x_supersub_sse8(int ci,
 }
 #endif
 
-static real nbnxn_rlist_inc_nonloc_fac = 0.6;
+static real minimum_subgrid_size_xy(const nbnxn_grid_t *grid)
+{
+    if (grid->bSimple)
+    {
+        return min(grid->sx, grid->sy);
+    }
+    else
+    {
+        return min(grid->sx/GPU_NSUBCELL_X, grid->sy/GPU_NSUBCELL_Y);
+    }
+}
+
+static real effective_buffer_1x1_vs_MxN(const nbnxn_grid_t *gridi,
+                                        const nbnxn_grid_t *gridj)
+{
+    const real eff_1x1_buffer_fac_overest = 0.1;
+
+    /* Determine an atom-pair list cut-off buffer size for atom pairs,
+     * to be added to rlist (including buffer) used for MxN.
+     * This is for converting an MxN list to a 1x1 list. This means we can't
+     * use the normal buffer estimate, as we have an MxN list in which
+     * some atom pairs beyond rlist are missing. We want to capture
+     * the beneficial effect of buffering by extra pairs just outside rlist,
+     * while removing the useless pairs that are further away from rlist.
+     * (Also the buffer could have been set manually not using the estimate.)
+     * This buffer size is an overestimate.
+     * We add 10% of the smallest grid sub-cell dimensions.
+     * Note that the z-size differs per cell and we don't use this,
+     * so we overestimate.
+     * With PME, the 10% value gives a buffer that is somewhat larger
+     * than the effective buffer with a tolerance of 0.005 kJ/mol/ps.
+     * Smaller tolerances or using RF lead to a smaller effective buffer,
+     * so 10% gives a safe overestimate.
+     */
+    return eff_1x1_buffer_fac_overest*(minimum_subgrid_size_xy(gridi) +
+                                       minimum_subgrid_size_xy(gridj));
+}
+
+/* Clusters at the cut-off only increase rlist by 60% of their size */
+static real nbnxn_rlist_inc_outside_fac = 0.6;
 
 /* Due to the cluster size the effective pair-list is longer than
  * that of a simple atom pair-list. This function gives the extra distance.
  */
-real nbnxn_get_rlist_effective_inc(int cluster_size,real atom_density)
+real nbnxn_get_rlist_effective_inc(int cluster_size_j, real atom_density)
 {
-    return ((0.5 + nbnxn_rlist_inc_nonloc_fac)*sqr(((cluster_size) - 1.0)/(cluster_size))*pow((cluster_size)/(atom_density),1.0/3.0));
+    int  cluster_size_i;
+    real vol_inc_i, vol_inc_j;
+
+    /* We should get this from the setup, but currently it's the same for
+     * all setups, including GPUs.
+     */
+    cluster_size_i = NBNXN_CPU_CLUSTER_I_SIZE;
+
+    vol_inc_i = (cluster_size_i - 1)/atom_density;
+    vol_inc_j = (cluster_size_j - 1)/atom_density;
+
+    return nbnxn_rlist_inc_outside_fac*pow(vol_inc_i + vol_inc_j, 1.0/3.0);
 }
 
 /* Estimates the interaction volume^2 for non-local interactions */
-static real nonlocal_vol2(const gmx_domdec_zones_t *zones,rvec ls,real r)
+static real nonlocal_vol2(const gmx_domdec_zones_t *zones, rvec ls, real r)
 {
-    int  z,d;
-    real cl,ca,za;
+    int  z, d;
+    real cl, ca, za;
     real vold_est;
     real vol2_est_tot;
 
@@ -3756,14 +4294,14 @@ static real nonlocal_vol2(const gmx_domdec_zones_t *zones,rvec ls,real r)
      * as small parts as possible.
      */
 
-    for(z=0; z<zones->n; z++)
+    for (z = 0; z < zones->n; z++)
     {
         if (zones->shift[z][XX] + zones->shift[z][YY] + zones->shift[z][ZZ] == 1)
         {
             cl = 0;
             ca = 1;
             za = 1;
-            for(d=0; d<DIM; d++)
+            for (d = 0; d < DIM; d++)
             {
                 if (zones->shift[z][d] == 0)
                 {
@@ -3789,14 +4327,14 @@ static real nonlocal_vol2(const gmx_domdec_zones_t *zones,rvec ls,real r)
 
 /* Estimates the average size of a full j-list for super/sub setup */
 static int get_nsubpair_max(const nbnxn_search_t nbs,
-                            int iloc,
-                            real rlist,
-                            int min_ci_balanced)
+                            int                  iloc,
+                            real                 rlist,
+                            int                  min_ci_balanced)
 {
     const nbnxn_grid_t *grid;
-    rvec ls;
-    real xy_diag2,r_eff_sup,vol_est,nsp_est,nsp_est_nl;
-    int  nsubpair_max;
+    rvec                ls;
+    real                xy_diag2, r_eff_sup, vol_est, nsp_est, nsp_est_nl;
+    int                 nsubpair_max;
 
     grid = &nbs->grid[0];
 
@@ -3808,7 +4346,7 @@ static int get_nsubpair_max(const nbnxn_search_t nbs,
     xy_diag2 = ls[XX]*ls[XX] + ls[YY]*ls[YY] + ls[ZZ]*ls[ZZ];
 
     /* The formulas below are a heuristic estimate of the average nsj per si*/
-    r_eff_sup = rlist + nbnxn_rlist_inc_nonloc_fac*sqr((grid->na_c - 1.0)/grid->na_c)*sqrt(xy_diag2/3);
+    r_eff_sup = rlist + nbnxn_rlist_inc_outside_fac*sqr((grid->na_c - 1.0)/grid->na_c)*sqrt(xy_diag2/3);
 
     if (!nbs->DomDec || nbs->zones->n == 1)
     {
@@ -3818,7 +4356,7 @@ static int get_nsubpair_max(const nbnxn_search_t nbs,
     {
         nsp_est_nl =
             sqr(grid->atom_density/grid->na_c)*
-            nonlocal_vol2(nbs->zones,ls,r_eff_sup);
+            nonlocal_vol2(nbs->zones, ls, r_eff_sup);
     }
 
     if (LOCAL_I(iloc))
@@ -3830,7 +4368,7 @@ static int get_nsubpair_max(const nbnxn_search_t nbs,
         /* 12/2 quarter pie slices on the edges */
         vol_est += 2*(ls[XX] + ls[YY] + ls[ZZ])*0.25*M_PI*sqr(r_eff_sup);
         /* 4 octants of a sphere */
-        vol_est += 0.5*4.0/3.0*M_PI*pow(r_eff_sup,3);
+        vol_est += 0.5*4.0/3.0*M_PI*pow(r_eff_sup, 3);
 
         nsp_est = grid->nsubc_tot*vol_est*grid->atom_density/grid->na_c;
 
@@ -3839,8 +4377,8 @@ static int get_nsubpair_max(const nbnxn_search_t nbs,
 
         if (debug)
         {
-            fprintf(debug,"nsp_est local %5.1f non-local %5.1f\n",
-                    nsp_est,nsp_est_nl);
+            fprintf(debug, "nsp_est local %5.1f non-local %5.1f\n",
+                    nsp_est, nsp_est_nl);
         }
     }
     else
@@ -3856,41 +4394,38 @@ static int get_nsubpair_max(const nbnxn_search_t nbs,
     else
     {
         /* Thus the (average) maximum j-list size should be as follows */
-        nsubpair_max = max(1,(int)(nsp_est/min_ci_balanced+0.5));
-
-        /* Since the target value is a maximum (this avoid high outliers,
-         * which lead to load imbalance), not average, we get more lists
-         * than we ask for (to compensate we need to add GPU_NSUBCELL*4/4).
-         * But more importantly, the optimal GPU performance moves
-         * to lower number of block for very small blocks.
-         * To compensate we add the maximum pair count per cj4.
+        nsubpair_max = max(1, (int)(nsp_est/min_ci_balanced+0.5));
+
+        /* Since the target value is a maximum (this avoids high outliers,
+         * which lead to load imbalance), not average, we add half the
+         * number of pairs in a cj4 block to get the average about right.
          */
-        nsubpair_max += GPU_NSUBCELL*NBNXN_CPU_CLUSTER_I_SIZE;
+        nsubpair_max += GPU_NSUBCELL*NBNXN_GPU_JGROUP_SIZE/2;
     }
 
     if (debug)
     {
-        fprintf(debug,"nbl nsp estimate %.1f, nsubpair_max %d\n",
-                nsp_est,nsubpair_max);
+        fprintf(debug, "nbl nsp estimate %.1f, nsubpair_max %d\n",
+                nsp_est, nsubpair_max);
     }
 
     return nsubpair_max;
 }
 
 /* Debug list print function */
-static void print_nblist_ci_cj(FILE *fp,const nbnxn_pairlist_t *nbl)
+static void print_nblist_ci_cj(FILE *fp, const nbnxn_pairlist_t *nbl)
 {
-    int i,j;
+    int i, j;
 
-    for(i=0; i<nbl->nci; i++)
+    for (i = 0; i < nbl->nci; i++)
     {
-        fprintf(fp,"ci %4d  shift %2d  ncj %3d\n",
-                nbl->ci[i].ci,nbl->ci[i].shift,
+        fprintf(fp, "ci %4d  shift %2d  ncj %3d\n",
+                nbl->ci[i].ci, nbl->ci[i].shift,
                 nbl->ci[i].cj_ind_end - nbl->ci[i].cj_ind_start);
 
-        for(j=nbl->ci[i].cj_ind_start; j<nbl->ci[i].cj_ind_end; j++)
+        for (j = nbl->ci[i].cj_ind_start; j < nbl->ci[i].cj_ind_end; j++)
         {
-            fprintf(fp,"  cj %5d  imask %x\n",
+            fprintf(fp, "  cj %5d  imask %x\n",
                     nbl->cj[j].cj,
                     nbl->cj[j].excl);
         }
@@ -3898,34 +4433,46 @@ static void print_nblist_ci_cj(FILE *fp,const nbnxn_pairlist_t *nbl)
 }
 
 /* Debug list print function */
-static void print_nblist_sci_cj(FILE *fp,const nbnxn_pairlist_t *nbl)
+static void print_nblist_sci_cj(FILE *fp, const nbnxn_pairlist_t *nbl)
 {
-    int i,j4,j;
+    int i, j4, j, ncp, si;
 
-    for(i=0; i<nbl->nsci; i++)
+    for (i = 0; i < nbl->nsci; i++)
     {
-        fprintf(fp,"ci %4d  shift %2d  ncj4 %2d\n",
-                nbl->sci[i].sci,nbl->sci[i].shift,
+        fprintf(fp, "ci %4d  shift %2d  ncj4 %2d\n",
+                nbl->sci[i].sci, nbl->sci[i].shift,
                 nbl->sci[i].cj4_ind_end - nbl->sci[i].cj4_ind_start);
 
-        for(j4=nbl->sci[i].cj4_ind_start; j4<nbl->sci[i].cj4_ind_end; j4++)
+        ncp = 0;
+        for (j4 = nbl->sci[i].cj4_ind_start; j4 < nbl->sci[i].cj4_ind_end; j4++)
         {
-            for(j=0; j<NBNXN_GPU_JGROUP_SIZE; j++)
+            for (j = 0; j < NBNXN_GPU_JGROUP_SIZE; j++)
             {
-                fprintf(fp,"  sj %5d  imask %x\n",
+                fprintf(fp, "  sj %5d  imask %x\n",
                         nbl->cj4[j4].cj[j],
                         nbl->cj4[j4].imei[0].imask);
+                for (si = 0; si < GPU_NSUBCELL; si++)
+                {
+                    if (nbl->cj4[j4].imei[0].imask & (1U << (j*GPU_NSUBCELL + si)))
+                    {
+                        ncp++;
+                    }
+                }
             }
         }
+        fprintf(fp, "ci %4d  shift %2d  ncj4 %2d ncp %3d\n",
+                nbl->sci[i].sci, nbl->sci[i].shift,
+                nbl->sci[i].cj4_ind_end - nbl->sci[i].cj4_ind_start,
+                ncp);
     }
 }
 
 /* Combine pair lists *nbl generated on multiple threads nblc */
-static void combine_nblists(int nnbl,nbnxn_pairlist_t **nbl,
+static void combine_nblists(int nnbl, nbnxn_pairlist_t **nbl,
                             nbnxn_pairlist_t *nblc)
 {
-    int nsci,ncj4,nexcl;
-    int n,i;
+    int nsci, ncj4, nexcl;
+    int n, i;
 
     if (nblc->bSimple)
     {
@@ -3935,7 +4482,7 @@ static void combine_nblists(int nnbl,nbnxn_pairlist_t **nbl,
     nsci  = nblc->nsci;
     ncj4  = nblc->ncj4;
     nexcl = nblc->nexcl;
-    for(i=0; i<nnbl; i++)
+    for (i = 0; i < nnbl; i++)
     {
         nsci  += nbl[i]->nsci;
         ncj4  += nbl[i]->ncj4;
@@ -3944,7 +4491,7 @@ static void combine_nblists(int nnbl,nbnxn_pairlist_t **nbl,
 
     if (nsci > nblc->sci_nalloc)
     {
-        nb_realloc_sci(nblc,nsci);
+        nb_realloc_sci(nblc, nsci);
     }
     if (ncj4 > nblc->cj4_nalloc)
     {
@@ -3952,7 +4499,7 @@ static void combine_nblists(int nnbl,nbnxn_pairlist_t **nbl,
         nbnxn_realloc_void((void **)&nblc->cj4,
                            nblc->ncj4*sizeof(*nblc->cj4),
                            nblc->cj4_nalloc*sizeof(*nblc->cj4),
-                           nblc->alloc,nblc->free);
+                           nblc->alloc, nblc->free);
     }
     if (nexcl > nblc->excl_nalloc)
     {
@@ -3960,20 +4507,20 @@ static void combine_nblists(int nnbl,nbnxn_pairlist_t **nbl,
         nbnxn_realloc_void((void **)&nblc->excl,
                            nblc->nexcl*sizeof(*nblc->excl),
                            nblc->excl_nalloc*sizeof(*nblc->excl),
-                           nblc->alloc,nblc->free);
+                           nblc->alloc, nblc->free);
     }
 
     /* Each thread should copy its own data to the combined arrays,
      * as otherwise data will go back and forth between different caches.
      */
 #pragma omp parallel for num_threads(gmx_omp_nthreads_get(emntPairsearch)) schedule(static)
-    for(n=0; n<nnbl; n++)
+    for (n = 0; n < nnbl; n++)
     {
-        int sci_offset;
-        int cj4_offset;
-        int ci_offset;
-        int excl_offset;
-        int i,j4;
+        int                     sci_offset;
+        int                     cj4_offset;
+        int                     ci_offset;
+        int                     excl_offset;
+        int                     i, j4;
         const nbnxn_pairlist_t *nbli;
 
         /* Determine the offset in the combined data for our thread */
@@ -3982,7 +4529,7 @@ static void combine_nblists(int nnbl,nbnxn_pairlist_t **nbl,
         ci_offset   = nblc->nci_tot;
         excl_offset = nblc->nexcl;
 
-        for(i=0; i<n; i++)
+        for (i = 0; i < n; i++)
         {
             sci_offset  += nbl[i]->nsci;
             cj4_offset  += nbl[i]->ncj4;
@@ -3992,27 +4539,27 @@ static void combine_nblists(int nnbl,nbnxn_pairlist_t **nbl,
 
         nbli = nbl[n];
 
-        for(i=0; i<nbli->nsci; i++)
+        for (i = 0; i < nbli->nsci; i++)
         {
             nblc->sci[sci_offset+i]                = nbli->sci[i];
             nblc->sci[sci_offset+i].cj4_ind_start += cj4_offset;
             nblc->sci[sci_offset+i].cj4_ind_end   += cj4_offset;
         }
 
-        for(j4=0; j4<nbli->ncj4; j4++)
+        for (j4 = 0; j4 < nbli->ncj4; j4++)
         {
-            nblc->cj4[cj4_offset+j4] = nbli->cj4[j4];
+            nblc->cj4[cj4_offset+j4]                   = nbli->cj4[j4];
             nblc->cj4[cj4_offset+j4].imei[0].excl_ind += excl_offset;
             nblc->cj4[cj4_offset+j4].imei[1].excl_ind += excl_offset;
         }
 
-        for(j4=0; j4<nbli->nexcl; j4++)
+        for (j4 = 0; j4 < nbli->nexcl; j4++)
         {
             nblc->excl[excl_offset+j4] = nbli->excl[j4];
         }
     }
 
-    for(n=0; n<nnbl; n++)
+    for (n = 0; n < nnbl; n++)
     {
         nblc->nsci    += nbl[n]->nsci;
         nblc->ncj4    += nbl[n]->ncj4;
@@ -4021,12 +4568,127 @@ static void combine_nblists(int nnbl,nbnxn_pairlist_t **nbl,
     }
 }
 
+static void balance_fep_lists(const nbnxn_search_t  nbs,
+                              nbnxn_pairlist_set_t *nbl_lists)
+{
+    int       nnbl, th;
+    int       nri_tot, nrj_tot, nrj_target;
+    int       th_dest;
+    t_nblist *nbld;
+
+    nnbl = nbl_lists->nnbl;
+
+    if (nnbl == 1)
+    {
+        /* Nothing to balance */
+        return;
+    }
+
+    /* Count the total i-lists and pairs */
+    nri_tot = 0;
+    nrj_tot = 0;
+    for (th = 0; th < nnbl; th++)
+    {
+        nri_tot += nbl_lists->nbl_fep[th]->nri;
+        nrj_tot += nbl_lists->nbl_fep[th]->nrj;
+    }
+
+    nrj_target = (nrj_tot + nnbl - 1)/nnbl;
+
+    assert(gmx_omp_nthreads_get(emntNonbonded) == nnbl);
+
+#pragma omp parallel for schedule(static) num_threads(nnbl)
+    for (th = 0; th < nnbl; th++)
+    {
+        t_nblist *nbl;
+
+        nbl = nbs->work[th].nbl_fep;
+
+        /* Note that here we allocate for the total size, instead of
+         * a per-thread esimate (which is hard to obtain).
+         */
+        if (nri_tot > nbl->maxnri)
+        {
+            nbl->maxnri = over_alloc_large(nri_tot);
+            reallocate_nblist(nbl);
+        }
+        if (nri_tot > nbl->maxnri || nrj_tot > nbl->maxnrj)
+        {
+            nbl->maxnrj = over_alloc_small(nrj_tot);
+            srenew(nbl->jjnr, nbl->maxnrj);
+            srenew(nbl->excl_fep, nbl->maxnrj);
+        }
+
+        clear_pairlist_fep(nbl);
+    }
+
+    /* Loop over the source lists and assign and copy i-entries */
+    th_dest = 0;
+    nbld    = nbs->work[th_dest].nbl_fep;
+    for (th = 0; th < nnbl; th++)
+    {
+        t_nblist *nbls;
+        int       i, j;
+
+        nbls = nbl_lists->nbl_fep[th];
+
+        for (i = 0; i < nbls->nri; i++)
+        {
+            int nrj;
+
+            /* The number of pairs in this i-entry */
+            nrj = nbls->jindex[i+1] - nbls->jindex[i];
+
+            /* Decide if list th_dest is too large and we should procede
+             * to the next destination list.
+             */
+            if (th_dest+1 < nnbl && nbld->nrj > 0 &&
+                nbld->nrj + nrj - nrj_target > nrj_target - nbld->nrj)
+            {
+                th_dest++;
+                nbld = nbs->work[th_dest].nbl_fep;
+            }
+
+            nbld->iinr[nbld->nri]  = nbls->iinr[i];
+            nbld->gid[nbld->nri]   = nbls->gid[i];
+            nbld->shift[nbld->nri] = nbls->shift[i];
+
+            for (j = nbls->jindex[i]; j < nbls->jindex[i+1]; j++)
+            {
+                nbld->jjnr[nbld->nrj]     = nbls->jjnr[j];
+                nbld->excl_fep[nbld->nrj] = nbls->excl_fep[j];
+                nbld->nrj++;
+            }
+            nbld->nri++;
+            nbld->jindex[nbld->nri] = nbld->nrj;
+        }
+    }
+
+    /* Swap the list pointers */
+    for (th = 0; th < nnbl; th++)
+    {
+        t_nblist *nbl_tmp;
+
+        nbl_tmp                = nbl_lists->nbl_fep[th];
+        nbl_lists->nbl_fep[th] = nbs->work[th].nbl_fep;
+        nbs->work[th].nbl_fep  = nbl_tmp;
+
+        if (debug)
+        {
+            fprintf(debug, "nbl_fep[%d] nri %4d nrj %4d\n",
+                    th,
+                    nbl_lists->nbl_fep[th]->nri,
+                    nbl_lists->nbl_fep[th]->nrj);
+        }
+    }
+}
+
 /* Returns the next ci to be processes by our thread */
 static gmx_bool next_ci(const nbnxn_grid_t *grid,
                         int conv,
-                        int nth,int ci_block,
-                        int *ci_x,int *ci_y,
-                        int *ci_b,int *ci)
+                        int nth, int ci_block,
+                        int *ci_x, int *ci_y,
+                        int *ci_b, int *ci)
 {
     (*ci_b)++;
     (*ci)++;
@@ -4061,8 +4723,8 @@ static gmx_bool next_ci(const nbnxn_grid_t *grid,
  */
 static float boundingbox_only_distance2(const nbnxn_grid_t *gridi,
                                         const nbnxn_grid_t *gridj,
-                                        real rlist,
-                                        gmx_bool simple)
+                                        real                rlist,
+                                        gmx_bool            simple)
 {
     /* If the distance between two sub-cell bounding boxes is less
      * than this distance, do not check the distance between
@@ -4077,7 +4739,7 @@ static float boundingbox_only_distance2(const nbnxn_grid_t *gridi,
      * is only performed when only 1 out of 8 sub-cells in within range,
      * this is because the GPU is much faster than the cpu.
      */
-    real bbx,bby;
+    real bbx, bby;
     real rbb2;
 
     bbx = 0.5*(gridi->sx + gridj->sx);
@@ -4088,7 +4750,7 @@ static float boundingbox_only_distance2(const nbnxn_grid_t *gridi,
         bby /= GPU_NSUBCELL_Y;
     }
 
-    rbb2 = sqr(max(0,rlist - 0.5*sqrt(bbx*bbx + bby*bby)));
+    rbb2 = sqr(max(0, rlist - 0.5*sqrt(bbx*bbx + bby*bby)));
 
 #ifndef GMX_DOUBLE
     return rbb2;
@@ -4100,10 +4762,10 @@ static float boundingbox_only_distance2(const nbnxn_grid_t *gridi,
 static int get_ci_block_size(const nbnxn_grid_t *gridi,
                              gmx_bool bDomDec, int nth)
 {
-    const int ci_block_enum = 5;
-    const int ci_block_denom = 11;
+    const int ci_block_enum      = 5;
+    const int ci_block_denom     = 11;
     const int ci_block_min_atoms = 16;
-    int ci_block;
+    int       ci_block;
 
     /* Here we decide how to distribute the blocks over the threads.
      * We use prime numbers to try to avoid that the grid size becomes
@@ -4123,7 +4785,7 @@ static int get_ci_block_size(const nbnxn_grid_t *gridi,
     {
         ci_block = (ci_block_min_atoms + gridi->na_sc - 1)/gridi->na_sc;
     }
-    
+
     /* Without domain decomposition
      * or with less than 3 blocks per task, divide in nth blocks.
      */
@@ -4149,34 +4811,39 @@ static void nbnxn_make_pairlist_part(const nbnxn_search_t nbs,
                                      int nsubpair_max,
                                      gmx_bool progBal,
                                      int min_ci_balanced,
-                                     int th,int nth,
-                                     nbnxn_pairlist_t *nbl)
+                                     int th, int nth,
+                                     nbnxn_pairlist_t *nbl,
+                                     t_nblist *nbl_fep)
 {
-    int  na_cj_2log;
-    matrix box;
-    real rl2;
-    float rbb2;
-    int  d;
-    int  ci_b,ci,ci_x,ci_y,ci_xy,cj;
-    ivec shp;
-    int  tx,ty,tz;
-    int  shift;
-    gmx_bool bMakeList;
-    real shx,shy,shz;
-    int  conv_i,cell0_i;
-    const float *bb_i,*bbcz_i,*bbcz_j;
-    const int *flags_i;
-    real bx0,bx1,by0,by1,bz0,bz1;
-    real bz1_frac;
-    real d2cx,d2z,d2z_cx,d2z_cy,d2zx,d2zxy,d2xy;
-    int  cxf,cxl,cyf,cyf_x,cyl;
-    int  cx,cy;
-    int  c0,c1,cs,cf,cl;
-    int  ndistc;
-    int  ncpcheck;
-    int  gridi_flag_shift=0,gridj_flag_shift=0;
-    unsigned *gridj_flag=NULL;
-    int  ncj_old_i,ncj_old_j;
+    int               na_cj_2log;
+    matrix            box;
+    real              rl2, rl_fep2 = 0;
+    float             rbb2;
+    int               d;
+    int               ci_b, ci, ci_x, ci_y, ci_xy, cj;
+    ivec              shp;
+    int               tx, ty, tz;
+    int               shift;
+    gmx_bool          bMakeList;
+    real              shx, shy, shz;
+    int               conv_i, cell0_i;
+    const nbnxn_bb_t *bb_i = NULL;
+#ifdef NBNXN_BBXXXX
+    const float      *pbb_i = NULL;
+#endif
+    const float      *bbcz_i, *bbcz_j;
+    const int        *flags_i;
+    real              bx0, bx1, by0, by1, bz0, bz1;
+    real              bz1_frac;
+    real              d2cx, d2z, d2z_cx, d2z_cy, d2zx, d2zxy, d2xy;
+    int               cxf, cxl, cyf, cyf_x, cyl;
+    int               cx, cy;
+    int               c0, c1, cs, cf, cl;
+    int               ndistc;
+    int               ncpcheck;
+    int               gridi_flag_shift = 0, gridj_flag_shift = 0;
+    unsigned int     *gridj_flag       = NULL;
+    int               ncj_old_i, ncj_old_j;
 
     nbs_cycle_start(&work->cc[enbsCCsearch]);
 
@@ -4210,19 +4877,36 @@ static void nbnxn_make_pairlist_part(const nbnxn_search_t nbs,
         gridj_flag = work->buffer_flags.flag;
     }
 
-    copy_mat(nbs->box,box);
+    copy_mat(nbs->box, box);
 
     rl2 = nbl->rlist*nbl->rlist;
 
-    rbb2 = boundingbox_only_distance2(gridi,gridj,nbl->rlist,nbl->bSimple);
+    if (nbs->bFEP && !nbl->bSimple)
+    {
+        /* Determine an atom-pair list cut-off distance for FEP atom pairs.
+         * We should not simply use rlist, since then we would not have
+         * the small, effective buffering of the NxN lists.
+         * The buffer is on overestimate, but the resulting cost for pairs
+         * beyond rlist is neglible compared to the FEP pairs within rlist.
+         */
+        rl_fep2 = nbl->rlist + effective_buffer_1x1_vs_MxN(gridi, gridj);
+
+        if (debug)
+        {
+            fprintf(debug, "nbl_fep atom-pair rlist %f\n", rl_fep2);
+        }
+        rl_fep2 = rl_fep2*rl_fep2;
+    }
+
+    rbb2 = boundingbox_only_distance2(gridi, gridj, nbl->rlist, nbl->bSimple);
 
     if (debug)
     {
-        fprintf(debug,"nbl bounding box only distance %f\n",sqrt(rbb2));
+        fprintf(debug, "nbl bounding box only distance %f\n", sqrt(rbb2));
     }
 
     /* Set the shift range */
-    for(d=0; d<DIM; d++)
+    for (d = 0; d < DIM; d++)
     {
         /* Check if we need periodicity shifts.
          * Without PBC or with domain decomposition we don't need them.
@@ -4255,7 +4939,19 @@ static void nbnxn_make_pairlist_part(const nbnxn_search_t nbs,
     else
     {
         conv_i  = 1;
-        bb_i    = gridi->bb;
+#ifdef NBNXN_BBXXXX
+        if (gridi->bSimple)
+        {
+            bb_i  = gridi->bb;
+        }
+        else
+        {
+            pbb_i = gridi->pbb;
+        }
+#else
+        /* We use the normal bounding box format for both grid types */
+        bb_i  = gridi->bb;
+#endif
         bbcz_i  = gridi->bbcz;
         flags_i = gridi->flags;
     }
@@ -4273,11 +4969,11 @@ static void nbnxn_make_pairlist_part(const nbnxn_search_t nbs,
     }
     if (debug)
     {
-        fprintf(debug,"nbl nc_i %d col.av. %.1f ci_block %d\n",
-                gridi->nc,gridi->nc/(double)(gridi->ncx*gridi->ncy),ci_block);
+        fprintf(debug, "nbl nc_i %d col.av. %.1f ci_block %d\n",
+                gridi->nc, gridi->nc/(double)(gridi->ncx*gridi->ncy), ci_block);
     }
 
-    ndistc = 0;
+    ndistc   = 0;
     ncpcheck = 0;
 
     /* Initially ci_b and ci to 1 before where we want them to start,
@@ -4287,7 +4983,7 @@ static void nbnxn_make_pairlist_part(const nbnxn_search_t nbs,
     ci   = th*ci_block - 1;
     ci_x = 0;
     ci_y = 0;
-    while (next_ci(gridi,conv_i,nth,ci_block,&ci_x,&ci_y,&ci_b,&ci))
+    while (next_ci(gridi, conv_i, nth, ci_block, &ci_x, &ci_y, &ci_b, &ci))
     {
         if (nbl->bSimple && flags_i[ci] == 0)
         {
@@ -4301,7 +4997,7 @@ static void nbnxn_make_pairlist_part(const nbnxn_search_t nbs,
         {
             if (nbl->bSimple)
             {
-                bx1 = bb_i[ci*NNBSBB_B+NNBSBB_C+XX];
+                bx1 = bb_i[ci].upper[BB_X];
             }
             else
             {
@@ -4321,7 +5017,7 @@ static void nbnxn_make_pairlist_part(const nbnxn_search_t nbs,
         ci_xy = ci_x*gridi->ncy + ci_y;
 
         /* Loop over shift vectors in three dimensions */
-        for (tz=-shp[ZZ]; tz<=shp[ZZ]; tz++)
+        for (tz = -shp[ZZ]; tz <= shp[ZZ]; tz++)
         {
             shz = tz*box[ZZ][ZZ];
 
@@ -4356,14 +5052,14 @@ static void nbnxn_make_pairlist_part(const nbnxn_search_t nbs,
             }
             /* The check with bz1_frac close to or larger than 1 comes later */
 
-            for (ty=-shp[YY]; ty<=shp[YY]; ty++)
+            for (ty = -shp[YY]; ty <= shp[YY]; ty++)
             {
                 shy = ty*box[YY][YY] + tz*box[ZZ][YY];
 
                 if (nbl->bSimple)
                 {
-                    by0 = bb_i[ci*NNBSBB_B         +YY] + shy;
-                    by1 = bb_i[ci*NNBSBB_B+NNBSBB_C+YY] + shy;
+                    by0 = bb_i[ci].lower[BB_Y] + shy;
+                    by1 = bb_i[ci].upper[BB_Y] + shy;
                 }
                 else
                 {
@@ -4371,10 +5067,10 @@ static void nbnxn_make_pairlist_part(const nbnxn_search_t nbs,
                     by1 = gridi->c0[YY] + (ci_y+1)*gridi->sy + shy;
                 }
 
-                get_cell_range(by0,by1,
-                               gridj->ncy,gridj->c0[YY],gridj->sy,gridj->inv_sy,
-                               d2z_cx,rl2,
-                               &cyf,&cyl);
+                get_cell_range(by0, by1,
+                               gridj->ncy, gridj->c0[YY], gridj->sy, gridj->inv_sy,
+                               d2z_cx, rl2,
+                               &cyf, &cyl);
 
                 if (cyf > cyl)
                 {
@@ -4391,9 +5087,9 @@ static void nbnxn_make_pairlist_part(const nbnxn_search_t nbs,
                     d2z_cy += sqr(by0 - gridj->c1[YY]);
                 }
 
-                for (tx=-shp[XX]; tx<=shp[XX]; tx++)
+                for (tx = -shp[XX]; tx <= shp[XX]; tx++)
                 {
-                    shift = XYZ2IS(tx,ty,tz);
+                    shift = XYZ2IS(tx, ty, tz);
 
 #ifdef NBNXN_SHIFT_BACKWARD
                     if (gridi == gridj && shift > CENTRAL)
@@ -4406,8 +5102,8 @@ static void nbnxn_make_pairlist_part(const nbnxn_search_t nbs,
 
                     if (nbl->bSimple)
                     {
-                        bx0 = bb_i[ci*NNBSBB_B         +XX] + shx;
-                        bx1 = bb_i[ci*NNBSBB_B+NNBSBB_C+XX] + shx;
+                        bx0 = bb_i[ci].lower[BB_X] + shx;
+                        bx1 = bb_i[ci].upper[BB_X] + shx;
                     }
                     else
                     {
@@ -4415,10 +5111,10 @@ static void nbnxn_make_pairlist_part(const nbnxn_search_t nbs,
                         bx1 = gridi->c0[XX] + (ci_x+1)*gridi->sx + shx;
                     }
 
-                    get_cell_range(bx0,bx1,
-                                   gridj->ncx,gridj->c0[XX],gridj->sx,gridj->inv_sx,
-                                   d2z_cy,rl2,
-                                   &cxf,&cxl);
+                    get_cell_range(bx0, bx1,
+                                   gridj->ncx, gridj->c0[XX], gridj->sx, gridj->inv_sx,
+                                   d2z_cy, rl2,
+                                   &cxf, &cxl);
 
                     if (cxf > cxl)
                     {
@@ -4427,13 +5123,11 @@ static void nbnxn_make_pairlist_part(const nbnxn_search_t nbs,
 
                     if (nbl->bSimple)
                     {
-                        new_ci_entry(nbl,cell0_i+ci,shift,flags_i[ci],
-                                     nbl->work);
+                        new_ci_entry(nbl, cell0_i+ci, shift, flags_i[ci]);
                     }
                     else
                     {
-                        new_sci_entry(nbl,cell0_i+ci,shift,flags_i[ci],
-                                      nbl->work);
+                        new_sci_entry(nbl, cell0_i+ci, shift);
                     }
 
 #ifndef NBNXN_SHIFT_BACKWARD
@@ -4451,20 +5145,25 @@ static void nbnxn_make_pairlist_part(const nbnxn_search_t nbs,
 
                     if (nbl->bSimple)
                     {
-                        set_icell_bb_simple(bb_i,ci,shx,shy,shz,
+                        set_icell_bb_simple(bb_i, ci, shx, shy, shz,
                                             nbl->work->bb_ci);
                     }
                     else
                     {
-                        set_icell_bb_supersub(bb_i,ci,shx,shy,shz,
+#ifdef NBNXN_BBXXXX
+                        set_icell_bbxxxx_supersub(pbb_i, ci, shx, shy, shz,
+                                                  nbl->work->pbb_ci);
+#else
+                        set_icell_bb_supersub(bb_i, ci, shx, shy, shz,
                                               nbl->work->bb_ci);
+#endif
                     }
 
-                    nbs->icell_set_x(cell0_i+ci,shx,shy,shz,
-                                     gridi->na_c,nbat->xstride,nbat->x,
+                    nbs->icell_set_x(cell0_i+ci, shx, shy, shz,
+                                     gridi->na_c, nbat->xstride, nbat->x,
                                      nbl->work);
 
-                    for(cx=cxf; cx<=cxl; cx++)
+                    for (cx = cxf; cx <= cxl; cx++)
                     {
                         d2zx = d2z;
                         if (gridj->c0[XX] + cx*gridj->sx > bx1)
@@ -4494,7 +5193,7 @@ static void nbnxn_make_pairlist_part(const nbnxn_search_t nbs,
                             cyf_x = cyf;
                         }
 
-                        for(cy=cyf_x; cy<=cyl; cy++)
+                        for (cy = cyf_x; cy <= cyl; cy++)
                         {
                             c0 = gridj->cxy_ind[cx*gridj->ncy+cy];
                             c1 = gridj->cxy_ind[cx*gridj->ncy+cy+1];
@@ -4529,9 +5228,9 @@ static void nbnxn_make_pairlist_part(const nbnxn_search_t nbs,
                                  * be within range.
                                  */
                                 cf = cs;
-                                while(cf > c0 &&
-                                      (bbcz_j[cf*NNBSBB_D+1] >= bz0 ||
-                                       d2xy + sqr(bbcz_j[cf*NNBSBB_D+1] - bz0) < rl2))
+                                while (cf > c0 &&
+                                       (bbcz_j[cf*NNBSBB_D+1] >= bz0 ||
+                                        d2xy + sqr(bbcz_j[cf*NNBSBB_D+1] - bz0) < rl2))
                                 {
                                     cf--;
                                 }
@@ -4540,9 +5239,9 @@ static void nbnxn_make_pairlist_part(const nbnxn_search_t nbs,
                                  * be within range.
                                  */
                                 cl = cs;
-                                while(cl < c1-1 &&
-                                      (bbcz_j[cl*NNBSBB_D] <= bz1 ||
-                                       d2xy + sqr(bbcz_j[cl*NNBSBB_D] - bz1) < rl2))
+                                while (cl < c1-1 &&
+                                       (bbcz_j[cl*NNBSBB_D] <= bz1 ||
+                                        d2xy + sqr(bbcz_j[cl*NNBSBB_D] - bz1) < rl2))
                                 {
                                     cl++;
                                 }
@@ -4555,16 +5254,14 @@ static void nbnxn_make_pairlist_part(const nbnxn_search_t nbs,
                                     int k;
                                     cf = c1;
                                     cl = -1;
-                                    for(k=c0; k<c1; k++)
+                                    for (k = c0; k < c1; k++)
                                     {
-                                        if (box_dist2(bx0,bx1,by0,by1,bz0,bz1,
-                                                      bb+k*NNBSBB_B) < rl2 &&
+                                        if (box_dist2(bx0, bx1, by0, by1, bz0, bz1, bb+k) < rl2 &&
                                             k < cf)
                                         {
                                             cf = k;
                                         }
-                                        if (box_dist2(bx0,bx1,by0,by1,bz0,bz1,
-                                                      bb+k*NNBSBB_B) < rl2 &&
+                                        if (box_dist2(bx0, bx1, by0, by1, bz0, bz1, bb+k) < rl2 &&
                                             k > cl)
                                         {
                                             cl = k;
@@ -4579,11 +5276,11 @@ static void nbnxn_make_pairlist_part(const nbnxn_search_t nbs,
                                      * only use cj >= ci.
                                      */
 #ifndef NBNXN_SHIFT_BACKWARD
-                                    cf = max(cf,ci);
+                                    cf = max(cf, ci);
 #else
                                     if (shift == CENTRAL)
                                     {
-                                        cf = max(cf,ci);
+                                        cf = max(cf, ci);
                                     }
 #endif
                                 }
@@ -4595,61 +5292,61 @@ static void nbnxn_make_pairlist_part(const nbnxn_search_t nbs,
 
                                     switch (nb_kernel_type)
                                     {
-                                    case nbnxnk4x4_PlainC:
-                                        check_subcell_list_space_simple(nbl,cl-cf+1);
-
-                                        make_cluster_list_simple(gridj,
-                                                                 nbl,ci,cf,cl,
-                                                                 (gridi == gridj && shift == CENTRAL),
-                                                                 nbat->x,
-                                                                 rl2,rbb2,
-                                                                 &ndistc);
-                                        break;
+                                        case nbnxnk4x4_PlainC:
+                                            check_subcell_list_space_simple(nbl, cl-cf+1);
+
+                                            make_cluster_list_simple(gridj,
+                                                                     nbl, ci, cf, cl,
+                                                                     (gridi == gridj && shift == CENTRAL),
+                                                                     nbat->x,
+                                                                     rl2, rbb2,
+                                                                     &ndistc);
+                                            break;
 #ifdef GMX_NBNXN_SIMD_4XN
-                                    case nbnxnk4xN_SIMD_4xN:
-                                        check_subcell_list_space_simple(nbl,ci_to_cj(na_cj_2log,cl-cf)+2);
-                                        make_cluster_list_simd_4xn(gridj,
-                                                                   nbl,ci,cf,cl,
-                                                                   (gridi == gridj && shift == CENTRAL),
-                                                                   nbat->x,
-                                                                   rl2,rbb2,
-                                                                   &ndistc);
-                                        break;
+                                        case nbnxnk4xN_SIMD_4xN:
+                                            check_subcell_list_space_simple(nbl, ci_to_cj(na_cj_2log, cl-cf)+2);
+                                            make_cluster_list_simd_4xn(gridj,
+                                                                       nbl, ci, cf, cl,
+                                                                       (gridi == gridj && shift == CENTRAL),
+                                                                       nbat->x,
+                                                                       rl2, rbb2,
+                                                                       &ndistc);
+                                            break;
 #endif
 #ifdef GMX_NBNXN_SIMD_2XNN
-                                    case nbnxnk4xN_SIMD_2xNN:
-                                        check_subcell_list_space_simple(nbl,ci_to_cj(na_cj_2log,cl-cf)+2);
-                                        make_cluster_list_simd_2xnn(gridj,
-                                                                   nbl,ci,cf,cl,
-                                                                   (gridi == gridj && shift == CENTRAL),
-                                                                   nbat->x,
-                                                                   rl2,rbb2,
-                                                                   &ndistc);
-                                        break;
+                                        case nbnxnk4xN_SIMD_2xNN:
+                                            check_subcell_list_space_simple(nbl, ci_to_cj(na_cj_2log, cl-cf)+2);
+                                            make_cluster_list_simd_2xnn(gridj,
+                                                                        nbl, ci, cf, cl,
+                                                                        (gridi == gridj && shift == CENTRAL),
+                                                                        nbat->x,
+                                                                        rl2, rbb2,
+                                                                        &ndistc);
+                                            break;
 #endif
-                                    case nbnxnk8x8x8_PlainC:
-                                    case nbnxnk8x8x8_CUDA:
-                                        check_subcell_list_space_supersub(nbl,cl-cf+1);
-                                        for(cj=cf; cj<=cl; cj++)
-                                        {
-                                            make_cluster_list_supersub(nbs,gridi,gridj,
-                                                                       nbl,ci,cj,
-                                                                       (gridi == gridj && shift == CENTRAL && ci == cj),
-                                                                       nbat->xstride,nbat->x,
-                                                                       rl2,rbb2,
-                                                                       &ndistc);
-                                        }
-                                        break;
+                                        case nbnxnk8x8x8_PlainC:
+                                        case nbnxnk8x8x8_CUDA:
+                                            check_subcell_list_space_supersub(nbl, cl-cf+1);
+                                            for (cj = cf; cj <= cl; cj++)
+                                            {
+                                                make_cluster_list_supersub(gridi, gridj,
+                                                                           nbl, ci, cj,
+                                                                           (gridi == gridj && shift == CENTRAL && ci == cj),
+                                                                           nbat->xstride, nbat->x,
+                                                                           rl2, rbb2,
+                                                                           &ndistc);
+                                            }
+                                            break;
                                     }
                                     ncpcheck += cl - cf + 1;
 
                                     if (bFBufferFlag && nbl->ncj > ncj_old_j)
                                     {
-                                        int cbf,cbl,cb;
+                                        int cbf, cbl, cb;
 
                                         cbf = nbl->cj[ncj_old_j].cj >> gridj_flag_shift;
                                         cbl = nbl->cj[nbl->ncj-1].cj >> gridj_flag_shift;
-                                        for(cb=cbf; cb<=cbl; cb++)
+                                        for (cb = cbf; cb <= cbl; cb++)
                                         {
                                             gridj_flag[cb] = 1U<<th;
                                         }
@@ -4669,6 +5366,14 @@ static void nbnxn_make_pairlist_part(const nbnxn_search_t nbs,
                                          na_cj_2log,
                                          &(nbl->ci[nbl->nci]),
                                          excl);
+
+                        if (nbs->bFEP)
+                        {
+                            make_fep_list(nbs, nbat, nbl,
+                                          shift == CENTRAL && gridi == gridj,
+                                          &(nbl->ci[nbl->nci]),
+                                          gridi, gridj, nbl_fep);
+                        }
                     }
                     else
                     {
@@ -4678,6 +5383,16 @@ static void nbnxn_make_pairlist_part(const nbnxn_search_t nbs,
                                           gridj->na_c_2log,
                                           &(nbl->sci[nbl->nsci]),
                                           excl);
+
+                        if (nbs->bFEP)
+                        {
+                            make_fep_list_supersub(nbs, nbat, nbl,
+                                                   shift == CENTRAL && gridi == gridj,
+                                                   &(nbl->sci[nbl->nsci]),
+                                                   shx, shy, shz,
+                                                   rl_fep2,
+                                                   gridi, gridj, nbl_fep);
+                        }
                     }
 
                     /* Close this ci list */
@@ -4689,8 +5404,8 @@ static void nbnxn_make_pairlist_part(const nbnxn_search_t nbs,
                     {
                         close_ci_entry_supersub(nbl,
                                                 nsubpair_max,
-                                                progBal,min_ci_balanced,
-                                                th,nth);
+                                                progBal, min_ci_balanced,
+                                                th, nth);
                     }
                 }
             }
@@ -4708,49 +5423,53 @@ static void nbnxn_make_pairlist_part(const nbnxn_search_t nbs,
 
     if (debug)
     {
-        fprintf(debug,"number of distance checks %d\n",ndistc);
-        fprintf(debug,"ncpcheck %s %d\n",gridi==gridj ? "local" : "non-local",
+        fprintf(debug, "number of distance checks %d\n", ndistc);
+        fprintf(debug, "ncpcheck %s %d\n", gridi == gridj ? "local" : "non-local",
                 ncpcheck);
 
         if (nbl->bSimple)
         {
-            print_nblist_statistics_simple(debug,nbl,nbs,rlist);
+            print_nblist_statistics_simple(debug, nbl, nbs, rlist);
         }
         else
         {
-            print_nblist_statistics_supersub(debug,nbl,nbs,rlist);
+            print_nblist_statistics_supersub(debug, nbl, nbs, rlist);
         }
 
+        if (nbs->bFEP)
+        {
+            fprintf(debug, "nbl FEP list pairs: %d\n", nbl_fep->nrj);
+        }
     }
 }
 
-static void reduce_buffer_flags(const nbnxn_search_t nbs,
-                                int nsrc,
+static void reduce_buffer_flags(const nbnxn_search_t        nbs,
+                                int                         nsrc,
                                 const nbnxn_buffer_flags_t *dest)
 {
-    int s,b;
-    const unsigned *flag;
+    int                 s, b;
+    const unsigned int *flag;
 
-    for(s=0; s<nsrc; s++)
+    for (s = 0; s < nsrc; s++)
     {
         flag = nbs->work[s].buffer_flags.flag;
 
-        for(b=0; b<dest->nflag; b++)
+        for (b = 0; b < dest->nflag; b++)
         {
             dest->flag[b] |= flag[b];
         }
     }
 }
 
-static void print_reduction_cost(const nbnxn_buffer_flags_t *flags,int nout)
+static void print_reduction_cost(const nbnxn_buffer_flags_t *flags, int nout)
 {
-    int nelem,nkeep,ncopy,nred,b,c,out;
+    int nelem, nkeep, ncopy, nred, b, c, out;
 
     nelem = 0;
     nkeep = 0;
     ncopy = 0;
     nred  = 0;
-    for(b=0; b<flags->nflag; b++)
+    for (b = 0; b < flags->nflag; b++)
     {
         if (flags->flag[b] == 1)
         {
@@ -4761,7 +5480,7 @@ static void print_reduction_cost(const nbnxn_buffer_flags_t *flags,int nout)
         else if (flags->flag[b] > 0)
         {
             c = 0;
-            for(out=0; out<nout; out++)
+            for (out = 0; out < nout; out++)
             {
                 if (flags->flag[b] & (1U<<out))
                 {
@@ -4780,35 +5499,111 @@ static void print_reduction_cost(const nbnxn_buffer_flags_t *flags,int nout)
         }
     }
 
-    fprintf(debug,"nbnxn reduction: #flag %d #list %d elem %4.2f, keep %4.2f copy %4.2f red %4.2f\n",
-            flags->nflag,nout,
+    fprintf(debug, "nbnxn reduction: #flag %d #list %d elem %4.2f, keep %4.2f copy %4.2f red %4.2f\n",
+            flags->nflag, nout,
             nelem/(double)(flags->nflag),
             nkeep/(double)(flags->nflag),
             ncopy/(double)(flags->nflag),
             nred/(double)(flags->nflag));
 }
 
+/* Perform a count (linear) sort to sort the smaller lists to the end.
+ * This avoids load imbalance on the GPU, as large lists will be
+ * scheduled and executed first and the smaller lists later.
+ * Load balancing between multi-processors only happens at the end
+ * and there smaller lists lead to more effective load balancing.
+ * The sorting is done on the cj4 count, not on the actual pair counts.
+ * Not only does this make the sort faster, but it also results in
+ * better load balancing than using a list sorted on exact load.
+ * This function swaps the pointer in the pair list to avoid a copy operation.
+ */
+static void sort_sci(nbnxn_pairlist_t *nbl)
+{
+    nbnxn_list_work_t *work;
+    int                m, i, s, s0, s1;
+    nbnxn_sci_t       *sci_sort;
+
+    if (nbl->ncj4 <= nbl->nsci)
+    {
+        /* nsci = 0 or all sci have size 1, sorting won't change the order */
+        return;
+    }
+
+    work = nbl->work;
+
+    /* We will distinguish differences up to double the average */
+    m = (2*nbl->ncj4)/nbl->nsci;
+
+    if (m + 1 > work->sort_nalloc)
+    {
+        work->sort_nalloc = over_alloc_large(m + 1);
+        srenew(work->sort, work->sort_nalloc);
+    }
+
+    if (work->sci_sort_nalloc != nbl->sci_nalloc)
+    {
+        work->sci_sort_nalloc = nbl->sci_nalloc;
+        nbnxn_realloc_void((void **)&work->sci_sort,
+                           0,
+                           work->sci_sort_nalloc*sizeof(*work->sci_sort),
+                           nbl->alloc, nbl->free);
+    }
+
+    /* Count the entries of each size */
+    for (i = 0; i <= m; i++)
+    {
+        work->sort[i] = 0;
+    }
+    for (s = 0; s < nbl->nsci; s++)
+    {
+        i = min(m, nbl->sci[s].cj4_ind_end - nbl->sci[s].cj4_ind_start);
+        work->sort[i]++;
+    }
+    /* Calculate the offset for each count */
+    s0            = work->sort[m];
+    work->sort[m] = 0;
+    for (i = m - 1; i >= 0; i--)
+    {
+        s1            = work->sort[i];
+        work->sort[i] = work->sort[i + 1] + s0;
+        s0            = s1;
+    }
+
+    /* Sort entries directly into place */
+    sci_sort = work->sci_sort;
+    for (s = 0; s < nbl->nsci; s++)
+    {
+        i = min(m, nbl->sci[s].cj4_ind_end - nbl->sci[s].cj4_ind_start);
+        sci_sort[work->sort[i]++] = nbl->sci[s];
+    }
+
+    /* Swap the sci pointers so we use the new, sorted list */
+    work->sci_sort = nbl->sci;
+    nbl->sci       = sci_sort;
+}
+
 /* Make a local or non-local pair-list, depending on iloc */
-void nbnxn_make_pairlist(const nbnxn_search_t nbs,
-                         nbnxn_atomdata_t *nbat,
-                         const t_blocka *excl,
-                         real rlist,
-                         int min_ci_balanced,
+void nbnxn_make_pairlist(const nbnxn_search_t  nbs,
+                         nbnxn_atomdata_t     *nbat,
+                         const t_blocka       *excl,
+                         real                  rlist,
+                         int                   min_ci_balanced,
                          nbnxn_pairlist_set_t *nbl_list,
-                         int iloc,
-                         int nb_kernel_type,
-                         t_nrnb *nrnb)
+                         int                   iloc,
+                         int                   nb_kernel_type,
+                         t_nrnb               *nrnb)
 {
-    nbnxn_grid_t *gridi,*gridj;
-    gmx_bool bGPUCPU;
-    int nzi,zi,zj0,zj1,zj;
-    int nsubpair_max;
-    int th;
-    int nnbl;
+    nbnxn_grid_t      *gridi, *gridj;
+    gmx_bool           bGPUCPU;
+    int                nzi, zi, zj0, zj1, zj;
+    int                nsubpair_max;
+    int                th;
+    int                nnbl;
     nbnxn_pairlist_t **nbl;
-    int ci_block;
-    gmx_bool CombineNBLists;
-    int np_tot,np_noq,np_hlj,nap;
+    int                ci_block;
+    gmx_bool           CombineNBLists;
+    gmx_bool           progBal;
+    int                np_tot, np_noq, np_hlj, nap;
 
     /* Check if we are running hybrid GPU + CPU nbnxn mode */
     bGPUCPU = (!nbs->grid[0].bSimple && nbl_list->bSimple);
@@ -4819,14 +5614,14 @@ void nbnxn_make_pairlist(const nbnxn_search_t nbs,
 
     if (debug)
     {
-        fprintf(debug,"ns making %d nblists\n", nnbl);
+        fprintf(debug, "ns making %d nblists\n", nnbl);
     }
 
     nbat->bUseBufferFlags = (nbat->nout > 1);
     /* We should re-init the flags before making the first list */
     if (nbat->bUseBufferFlags && (LOCAL_I(iloc) || bGPUCPU))
     {
-        init_buffer_flags(&nbat->buffer_flags,nbat->natoms);
+        init_buffer_flags(&nbat->buffer_flags, nbat->natoms);
     }
 
     if (nbl_list->bSimple)
@@ -4834,24 +5629,24 @@ void nbnxn_make_pairlist(const nbnxn_search_t nbs,
         switch (nb_kernel_type)
         {
 #ifdef GMX_NBNXN_SIMD_4XN
-        case nbnxnk4xN_SIMD_4xN:
-            nbs->icell_set_x = icell_set_x_simd_4xn;
-            break;
+            case nbnxnk4xN_SIMD_4xN:
+                nbs->icell_set_x = icell_set_x_simd_4xn;
+                break;
 #endif
 #ifdef GMX_NBNXN_SIMD_2XNN
-        case nbnxnk4xN_SIMD_2xNN:
-            nbs->icell_set_x = icell_set_x_simd_2xnn;
-            break;
+            case nbnxnk4xN_SIMD_2xNN:
+                nbs->icell_set_x = icell_set_x_simd_2xnn;
+                break;
 #endif
-        default:
-            nbs->icell_set_x = icell_set_x_simple;
-            break;
+            default:
+                nbs->icell_set_x = icell_set_x_simple;
+                break;
         }
     }
     else
     {
-#ifdef NBNXN_SEARCH_BB_SSE
-        nbs->icell_set_x = icell_set_x_supersub_sse8;
+#ifdef NBNXN_SEARCH_BB_SIMD4
+        nbs->icell_set_x = icell_set_x_supersub_simd4;
 #else
         nbs->icell_set_x = icell_set_x_supersub;
 #endif
@@ -4871,7 +5666,7 @@ void nbnxn_make_pairlist(const nbnxn_search_t nbs,
 
     if (!nbl_list->bSimple && min_ci_balanced > 0)
     {
-        nsubpair_max = get_nsubpair_max(nbs,iloc,rlist,min_ci_balanced);
+        nsubpair_max = get_nsubpair_max(nbs, iloc, rlist, min_ci_balanced);
     }
     else
     {
@@ -4879,12 +5674,17 @@ void nbnxn_make_pairlist(const nbnxn_search_t nbs,
     }
 
     /* Clear all pair-lists */
-    for(th=0; th<nnbl; th++)
+    for (th = 0; th < nnbl; th++)
     {
         clear_pairlist(nbl[th]);
+
+        if (nbs->bFEP)
+        {
+            clear_pairlist_fep(nbl_list->nbl_fep[th]);
+        }
     }
 
-    for(zi=0; zi<nzi; zi++)
+    for (zi = 0; zi < nzi; zi++)
     {
         gridi = &nbs->grid[zi];
 
@@ -4897,13 +5697,13 @@ void nbnxn_make_pairlist(const nbnxn_search_t nbs,
                 zj0++;
             }
         }
-        for(zj=zj0; zj<zj1; zj++)
+        for (zj = zj0; zj < zj1; zj++)
         {
             gridj = &nbs->grid[zj];
 
             if (debug)
             {
-                fprintf(debug,"ns search grid %d vs %d\n",zi,zj);
+                fprintf(debug, "ns search grid %d vs %d\n", zi, zj);
             }
 
             nbs_cycle_start(&nbs->cc[enbsCCsearch]);
@@ -4915,11 +5715,16 @@ void nbnxn_make_pairlist(const nbnxn_search_t nbs,
             }
             else
             {
-                ci_block = get_ci_block_size(gridi,nbs->DomDec,nnbl);
+                ci_block = get_ci_block_size(gridi, nbs->DomDec, nnbl);
             }
 
+            /* With GPU: generate progressively smaller lists for
+             * load balancing for local only or non-local with 2 zones.
+             */
+            progBal = (LOCAL_I(iloc) || nbs->zones->n <= 2);
+
 #pragma omp parallel for num_threads(nnbl) schedule(static)
-            for(th=0; th<nnbl; th++)
+            for (th = 0; th < nnbl; th++)
             {
                 /* Re-init the thread-local work flag data before making
                  * the first list (not an elegant conditional).
@@ -4927,7 +5732,7 @@ void nbnxn_make_pairlist(const nbnxn_search_t nbs,
                 if (nbat->bUseBufferFlags && ((zi == 0 && zj == 0) ||
                                               (bGPUCPU && zi == 0 && zj == 1)))
                 {
-                    init_buffer_flags(&nbs->work[th].buffer_flags,nbat->natoms);
+                    init_buffer_flags(&nbs->work[th].buffer_flags, nbat->natoms);
                 }
 
                 if (CombineNBLists && th > 0)
@@ -4936,26 +5741,26 @@ void nbnxn_make_pairlist(const nbnxn_search_t nbs,
                 }
 
                 /* Divide the i super cell equally over the nblists */
-                nbnxn_make_pairlist_part(nbs,gridi,gridj,
-                                         &nbs->work[th],nbat,excl,
+                nbnxn_make_pairlist_part(nbs, gridi, gridj,
+                                         &nbs->work[th], nbat, excl,
                                          rlist,
                                          nb_kernel_type,
                                          ci_block,
                                          nbat->bUseBufferFlags,
                                          nsubpair_max,
-                                         (LOCAL_I(iloc) || nbs->zones->n <= 2),
-                                         min_ci_balanced,
-                                         th,nnbl,
-                                         nbl[th]);
+                                         progBal, min_ci_balanced,
+                                         th, nnbl,
+                                         nbl[th],
+                                         nbl_list->nbl_fep[th]);
             }
             nbs_cycle_stop(&nbs->cc[enbsCCsearch]);
 
             np_tot = 0;
             np_noq = 0;
             np_hlj = 0;
-            for(th=0; th<nnbl; th++)
+            for (th = 0; th < nnbl; th++)
             {
-                inc_nrnb(nrnb,eNR_NBNXN_DIST2,nbs->work[th].ndistc);
+                inc_nrnb(nrnb, eNR_NBNXN_DIST2, nbs->work[th].ndistc);
 
                 if (nbl_list->bSimple)
                 {
@@ -4969,7 +5774,7 @@ void nbnxn_make_pairlist(const nbnxn_search_t nbs,
                     np_tot += nbl[th]->nci_tot;
                 }
             }
-            nap = nbl[0]->na_ci*nbl[0]->na_cj;
+            nap                   = nbl[0]->na_ci*nbl[0]->na_cj;
             nbl_list->natpair_ljq = (np_tot - np_noq)*nap - np_hlj*nap/2;
             nbl_list->natpair_lj  = np_noq*nap;
             nbl_list->natpair_q   = np_hlj*nap/2;
@@ -4978,21 +5783,40 @@ void nbnxn_make_pairlist(const nbnxn_search_t nbs,
             {
                 nbs_cycle_start(&nbs->cc[enbsCCcombine]);
 
-                combine_nblists(nnbl-1,nbl+1,nbl[0]);
+                combine_nblists(nnbl-1, nbl+1, nbl[0]);
 
                 nbs_cycle_stop(&nbs->cc[enbsCCcombine]);
             }
         }
     }
 
+    if (!nbl_list->bSimple)
+    {
+        /* Sort the entries on size, large ones first */
+        if (CombineNBLists || nnbl == 1)
+        {
+            sort_sci(nbl[0]);
+        }
+        else
+        {
+#pragma omp parallel for num_threads(nnbl) schedule(static)
+            for (th = 0; th < nnbl; th++)
+            {
+                sort_sci(nbl[th]);
+            }
+        }
+    }
+
     if (nbat->bUseBufferFlags)
     {
-        reduce_buffer_flags(nbs,nnbl,&nbat->buffer_flags);
+        reduce_buffer_flags(nbs, nnbl, &nbat->buffer_flags);
     }
 
-    /*
-    print_supersub_nsp("nsubpair",nbl[0],iloc);
-    */
+    if (nbs->bFEP)
+    {
+        /* Balance the free-energy lists over all the threads */
+        balance_fep_lists(nbs, nbl_list);
+    }
 
     /* Special performance logging stuff (env.var. GMX_NBNXN_CYCLE) */
     if (LOCAL_I(iloc))
@@ -5003,18 +5827,18 @@ void nbnxn_make_pairlist(const nbnxn_search_t nbs,
         (!nbs->DomDec || (nbs->DomDec && !LOCAL_I(iloc))) &&
         nbs->search_count % 100 == 0)
     {
-        nbs_cycle_print(stderr,nbs);
+        nbs_cycle_print(stderr, nbs);
     }
 
     if (debug && (CombineNBLists && nnbl > 1))
     {
         if (nbl[0]->bSimple)
         {
-            print_nblist_statistics_simple(debug,nbl[0],nbs,rlist);
+            print_nblist_statistics_simple(debug, nbl[0], nbs, rlist);
         }
         else
         {
-            print_nblist_statistics_supersub(debug,nbl[0],nbs,rlist);
+            print_nblist_statistics_supersub(debug, nbl[0], nbs, rlist);
         }
     }
 
@@ -5024,17 +5848,17 @@ void nbnxn_make_pairlist(const nbnxn_search_t nbs,
         {
             if (nbl[0]->bSimple)
             {
-                print_nblist_ci_cj(debug,nbl[0]);
+                print_nblist_ci_cj(debug, nbl[0]);
             }
             else
             {
-                print_nblist_sci_cj(debug,nbl[0]);
+                print_nblist_sci_cj(debug, nbl[0]);
             }
         }
 
         if (nbat->bUseBufferFlags)
         {
-            print_reduction_cost(&nbat->buffer_flags,nnbl);
+            print_reduction_cost(&nbat->buffer_flags, nnbl);
         }
     }
 }