Add coolquotes

[gromacs.git] / src / gromacs / ewald / pme-load-balancing.cpp

/*
 * This file is part of the GROMACS molecular simulation package.
 *
 * Copyright (c) 2012,2013,2014,2015,2016,2017,2018, 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.
 *
 * 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.
 *
 * 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.
 *
 * 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 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 research papers on the package. Check out http://www.gromacs.org.
 */
/*! \internal \file
 *
 * \brief This file contains function definitions necessary for
 * managing automatic load balance of PME calculations (Coulomb and
 * LJ).
 *
 * \author Berk Hess <hess@kth.se>
 * \ingroup module_ewald
 */
#include "gmxpre.h"

#include "pme-load-balancing.h"

#include <cassert>
#include <cmath>

#include <algorithm>

#include "gromacs/domdec/dlb.h"
#include "gromacs/domdec/domdec.h"
#include "gromacs/domdec/domdec_network.h"
#include "gromacs/domdec/domdec_struct.h"
#include "gromacs/domdec/partition.h"
#include "gromacs/ewald/ewald-utils.h"
#include "gromacs/ewald/pme.h"
#include "gromacs/fft/calcgrid.h"
#include "gromacs/gmxlib/network.h"
#include "gromacs/math/functions.h"
#include "gromacs/math/vec.h"
#include "gromacs/mdlib/forcerec.h"
#include "gromacs/mdlib/nb_verlet.h"
#include "gromacs/mdlib/nbnxn_gpu_data_mgmt.h"
#include "gromacs/mdlib/nbnxn_pairlist.h"
#include "gromacs/mdlib/sim_util.h"
#include "gromacs/mdtypes/commrec.h"
#include "gromacs/mdtypes/inputrec.h"
#include "gromacs/mdtypes/md_enums.h"
#include "gromacs/mdtypes/state.h"
#include "gromacs/pbcutil/pbc.h"
#include "gromacs/timing/wallcycle.h"
#include "gromacs/utility/cstringutil.h"
#include "gromacs/utility/fatalerror.h"
#include "gromacs/utility/gmxassert.h"
#include "gromacs/utility/logger.h"
#include "gromacs/utility/smalloc.h"
#include "gromacs/utility/strconvert.h"

#include "pme-internal.h"

/*! \brief Parameters and settings for one PP-PME setup */
struct pme_setup_t {
    real              rcut_coulomb;    /**< Coulomb cut-off                              */
    real              rlistOuter;      /**< cut-off for the outer pair-list              */
    real              rlistInner;      /**< cut-off for the inner pair-list              */
    real              spacing;         /**< (largest) PME grid spacing                   */
    ivec              grid;            /**< the PME grid dimensions                      */
    real              grid_efficiency; /**< ineffiency factor for non-uniform grids <= 1 */
    real              ewaldcoeff_q;    /**< Electrostatic Ewald coefficient            */
    real              ewaldcoeff_lj;   /**< LJ Ewald coefficient, only for the call to send_switchgrid */
    struct gmx_pme_t *pmedata;         /**< the data structure used in the PME code      */
    int               count;           /**< number of times this setup has been timed    */
    double            cycles;          /**< the fastest time for this setup in cycles    */
};

/*! \brief After 50 nstlist periods of not observing imbalance: never tune PME */
const int  PMETunePeriod = 50;
/*! \brief Trigger PME load balancing at more than 5% PME overload */
const real loadBalanceTriggerFactor = 1.05;
/*! \brief Scale the grid by a most at factor 1.7.
 *
 * This still leaves room for about 4-4.5x decrease in grid spacing while limiting the cases where
 * large imbalance leads to extreme cutoff scaling for marginal benefits.
 *
 * This should help to avoid:
 *   - large increase in power consumption for little performance gain
 *   - increasing communication volume
 *   - limiting DLB
 */
const real c_maxSpacingScaling = 1.7;
/*! \brief In the initial scan, step by grids that are at least a factor 0.8 coarser */
const real gridpointsScaleFactor = 0.8;
/*! \brief In the initial scan, try to skip grids with uneven x/y/z spacing,
 * checking if the "efficiency" is more than 5% worse than the previous grid.
 */
const real relativeEfficiencyFactor = 1.05;
/*! \brief Rerun until a run is 12% slower setups than the fastest run so far */
const real maxRelativeSlowdownAccepted = 1.12;
/*! \brief If setups get more than 2% faster, do another round to avoid
 * choosing a slower setup due to acceleration or fluctuations.
 */
const real maxFluctuationAccepted = 1.02;

/*! \brief Enumeration whose values describe the effect limiting the load balancing */
enum epmelb {
    epmelblimNO, epmelblimBOX, epmelblimDD, epmelblimPMEGRID, epmelblimMAXSCALING, epmelblimNR
};

/*! \brief Descriptive strings matching ::epmelb */
static const char *pmelblim_str[epmelblimNR] =
{ "no", "box size", "domain decompostion", "PME grid restriction", "maximum allowed grid scaling" };

struct pme_load_balancing_t {
    gmx_bool     bSepPMERanks;       /**< do we have separate PME ranks? */
    gmx_bool     bActive;            /**< is PME tuning active? */
    int64_t      step_rel_stop;      /**< stop the tuning after this value of step_rel */
    gmx_bool     bTriggerOnDLB;      /**< trigger balancing only on DD DLB */
    gmx_bool     bBalance;           /**< are we in the balancing phase, i.e. trying different setups? */
    int          nstage;             /**< the current maximum number of stages */

    real         cut_spacing;        /**< the minimum cutoff / PME grid spacing ratio */
    real         rcut_vdw;           /**< Vdw cutoff (does not change) */
    real         rcut_coulomb_start; /**< Initial electrostatics cutoff */
    real         rbufOuter_coulomb;  /**< the outer pairlist buffer size */
    real         rbufOuter_vdw;      /**< the outer pairlist buffer size */
    real         rbufInner_coulomb;  /**< the inner pairlist buffer size */
    real         rbufInner_vdw;      /**< the inner pairlist buffer size */
    matrix       box_start;          /**< the initial simulation box */
    int          n;                  /**< the count of setup as well as the allocation size */
    pme_setup_t *setup;              /**< the PME+cutoff setups */
    int          cur;                /**< the inex (in setup) of the current setup */
    int          fastest;            /**< index of the fastest setup up till now */
    int          lower_limit;        /**< don't go below this setup index */
    int          start;              /**< start of setup index range to consider in stage>0 */
    int          end;                /**< end   of setup index range to consider in stage>0 */
    int          elimited;           /**< was the balancing limited, uses enum above */
    int          cutoff_scheme;      /**< Verlet or group cut-offs */

    int          stage;              /**< the current stage */

    int          cycles_n;           /**< step cycle counter cummulative count */
    double       cycles_c;           /**< step cycle counter cummulative cycles */
};

/* TODO The code in this file should call this getter, rather than
 * read bActive anywhere */
bool pme_loadbal_is_active(const pme_load_balancing_t *pme_lb)
{
    return pme_lb != nullptr && pme_lb->bActive;
}

void pme_loadbal_init(pme_load_balancing_t     **pme_lb_p,
                      t_commrec                 *cr,
                      const gmx::MDLogger       &mdlog,
                      const t_inputrec          &ir,
                      const matrix               box,
                      const interaction_const_t &ic,
                      const NbnxnListParameters &listParams,
                      gmx_pme_t                 *pmedata,
                      gmx_bool                   bUseGPU,
                      gmx_bool                  *bPrinting)
{
    GMX_RELEASE_ASSERT(ir.cutoff_scheme != ecutsGROUP, "PME tuning is not supported with cutoff-scheme=group (because it contains bugs)");

    pme_load_balancing_t *pme_lb;
    real                  spm, sp;
    int                   d;

    // Note that we don't (yet) support PME load balancing with LJ-PME only.
    GMX_RELEASE_ASSERT(EEL_PME(ir.coulombtype), "pme_loadbal_init called without PME electrostatics");
    // To avoid complexity, we require a single cut-off with PME for q+LJ.
    // This is checked by grompp, but it doesn't hurt to check again.
    GMX_RELEASE_ASSERT(!(EEL_PME(ir.coulombtype) && EVDW_PME(ir.vdwtype) && ir.rcoulomb != ir.rvdw), "With Coulomb and LJ PME, rcoulomb should be equal to rvdw");

    snew(pme_lb, 1);

    pme_lb->bSepPMERanks      = !thisRankHasDuty(cr, DUTY_PME);

    /* Initially we turn on balancing directly on based on PP/PME imbalance */
    pme_lb->bTriggerOnDLB     = FALSE;

    /* Any number of stages >= 2 is supported */
    pme_lb->nstage            = 2;

    pme_lb->cutoff_scheme     = ir.cutoff_scheme;

    pme_lb->rbufOuter_coulomb = listParams.rlistOuter - ic.rcoulomb;
    pme_lb->rbufOuter_vdw     = listParams.rlistOuter - ic.rvdw;
    pme_lb->rbufInner_coulomb = listParams.rlistInner - ic.rcoulomb;
    pme_lb->rbufInner_vdw     = listParams.rlistInner - ic.rvdw;

    /* Scale box with Ewald wall factor; note that we pmedata->boxScaler
     * can't always usedd as it's not available with separate PME ranks.
     */
    EwaldBoxZScaler boxScaler(ir);
    boxScaler.scaleBox(box, pme_lb->box_start);

    pme_lb->n = 1;
    snew(pme_lb->setup, pme_lb->n);

    pme_lb->rcut_vdw                 = ic.rvdw;
    pme_lb->rcut_coulomb_start       = ir.rcoulomb;

    pme_lb->cur                      = 0;
    pme_lb->setup[0].rcut_coulomb    = ic.rcoulomb;
    pme_lb->setup[0].rlistOuter      = listParams.rlistOuter;
    pme_lb->setup[0].rlistInner      = listParams.rlistInner;
    pme_lb->setup[0].grid[XX]        = ir.nkx;
    pme_lb->setup[0].grid[YY]        = ir.nky;
    pme_lb->setup[0].grid[ZZ]        = ir.nkz;
    pme_lb->setup[0].ewaldcoeff_q    = ic.ewaldcoeff_q;
    pme_lb->setup[0].ewaldcoeff_lj   = ic.ewaldcoeff_lj;

    if (!pme_lb->bSepPMERanks)
    {
        GMX_RELEASE_ASSERT(pmedata, "On ranks doing both PP and PME we need a valid pmedata object");
        pme_lb->setup[0].pmedata     = pmedata;
    }

    spm = 0;
    for (d = 0; d < DIM; d++)
    {
        sp = norm(pme_lb->box_start[d])/pme_lb->setup[0].grid[d];
        if (sp > spm)
        {
            spm = sp;
        }
    }
    pme_lb->setup[0].spacing = spm;

    if (ir.fourier_spacing > 0)
    {
        pme_lb->cut_spacing = ir.rcoulomb/ir.fourier_spacing;
    }
    else
    {
        pme_lb->cut_spacing = ir.rcoulomb/pme_lb->setup[0].spacing;
    }

    pme_lb->stage = 0;

    pme_lb->fastest     = 0;
    pme_lb->lower_limit = 0;
    pme_lb->start       = 0;
    pme_lb->end         = 0;
    pme_lb->elimited    = epmelblimNO;

    pme_lb->cycles_n = 0;
    pme_lb->cycles_c = 0;

    if (!wallcycle_have_counter())
    {
        GMX_LOG(mdlog.warning).asParagraph().appendText("NOTE: Cycle counters unsupported or not enabled in kernel. Cannot use PME-PP balancing.");
    }

    /* Tune with GPUs and/or separate PME ranks.
     * When running only on a CPU without PME ranks, PME tuning will only help
     * with small numbers of atoms in the cut-off sphere.
     */
    pme_lb->bActive  = (wallcycle_have_counter() && (bUseGPU ||
                                                     pme_lb->bSepPMERanks));

    /* With GPUs and no separate PME ranks we can't measure the PP/PME
     * imbalance, so we start balancing right away.
     * Otherwise we only start balancing after we observe imbalance.
     */
    pme_lb->bBalance = (pme_lb->bActive && (bUseGPU && !pme_lb->bSepPMERanks));

    pme_lb->step_rel_stop = PMETunePeriod*ir.nstlist;

    /* Delay DD load balancing when GPUs are used */
    if (pme_lb->bActive && DOMAINDECOMP(cr) && cr->dd->nnodes > 1 && bUseGPU)
    {
        /* Lock DLB=auto to off (does nothing when DLB=yes/no.
         * With GPUs and separate PME nodes, we want to first
         * do PME tuning without DLB, since DLB might limit
         * the cut-off, which never improves performance.
         * We allow for DLB + PME tuning after a first round of tuning.
         */
        dd_dlb_lock(cr->dd);
        if (dd_dlb_is_locked(cr->dd))
        {
            GMX_LOG(mdlog.warning).asParagraph().appendText("NOTE: DLB will not turn on during the first phase of PME tuning");
        }
    }

    *pme_lb_p = pme_lb;

    *bPrinting = pme_lb->bBalance;
}

/*! \brief Try to increase the cutoff during load balancing */
static gmx_bool pme_loadbal_increase_cutoff(pme_load_balancing_t *pme_lb,
                                            int                   pme_order,
                                            const gmx_domdec_t   *dd)
{
    pme_setup_t *set;
    real         fac, sp;
    real         tmpr_coulomb, tmpr_vdw;
    int          d;
    bool         grid_ok;

    /* Try to add a new setup with next larger cut-off to the list */
    pme_lb->n++;
    srenew(pme_lb->setup, pme_lb->n);
    set          = &pme_lb->setup[pme_lb->n-1];
    set->pmedata = nullptr;

    NumPmeDomains numPmeDomains = getNumPmeDomains(dd);

    fac = 1;
    do
    {
        /* Avoid infinite while loop, which can occur at the minimum grid size.
         * Note that in practice load balancing will stop before this point.
         * The factor 2.1 allows for the extreme case in which only grids
         * of powers of 2 are allowed (the current code supports more grids).
         */
        if (fac > 2.1)
        {
            pme_lb->n--;

            return FALSE;
        }

        fac *= 1.01;
        clear_ivec(set->grid);
        sp = calcFftGrid(nullptr, pme_lb->box_start,
                         fac*pme_lb->setup[pme_lb->cur].spacing,
                         minimalPmeGridSize(pme_order),
                         &set->grid[XX],
                         &set->grid[YY],
                         &set->grid[ZZ]);

        /* As here we can't easily check if one of the PME ranks
         * uses threading, we do a conservative grid check.
         * This means we can't use pme_order or less grid lines
         * per PME rank along x, which is not a strong restriction.
         */
        grid_ok = gmx_pme_check_restrictions(pme_order,
                                             set->grid[XX], set->grid[YY], set->grid[ZZ],
                                             numPmeDomains.x,
                                             true,
                                             false);
    }
    while (sp <= 1.001*pme_lb->setup[pme_lb->cur].spacing || !grid_ok);

    set->rcut_coulomb = pme_lb->cut_spacing*sp;
    if (set->rcut_coulomb < pme_lb->rcut_coulomb_start)
    {
        /* This is unlikely, but can happen when e.g. continuing from
         * a checkpoint after equilibration where the box shrank a lot.
         * We want to avoid rcoulomb getting smaller than rvdw
         * and there might be more issues with decreasing rcoulomb.
         */
        set->rcut_coulomb = pme_lb->rcut_coulomb_start;
    }

    if (pme_lb->cutoff_scheme == ecutsVERLET)
    {
        /* Never decrease the Coulomb and VdW list buffers */
        set->rlistOuter  = std::max(set->rcut_coulomb + pme_lb->rbufOuter_coulomb,
                                    pme_lb->rcut_vdw + pme_lb->rbufOuter_vdw);
        set->rlistInner  = std::max(set->rcut_coulomb + pme_lb->rbufInner_coulomb,
                                    pme_lb->rcut_vdw + pme_lb->rbufInner_vdw);
    }
    else
    {
        /* TODO Remove these lines and pme_lb->cutoff_scheme */
        tmpr_coulomb     = set->rcut_coulomb + pme_lb->rbufOuter_coulomb;
        tmpr_vdw         = pme_lb->rcut_vdw + pme_lb->rbufOuter_vdw;
        /* Two (known) bugs with cutoff-scheme=group here:
         * - This modification of rlist results in incorrect DD comunication.
         * - We should set fr->bTwinRange = (fr->rlistlong > fr->rlist).
         */
        set->rlistOuter  = std::min(tmpr_coulomb, tmpr_vdw);
        set->rlistInner  = set->rlistOuter;
    }

    set->spacing         = sp;
    /* The grid efficiency is the size wrt a grid with uniform x/y/z spacing */
    set->grid_efficiency = 1;
    for (d = 0; d < DIM; d++)
    {
        set->grid_efficiency *= (set->grid[d]*sp)/norm(pme_lb->box_start[d]);
    }
    /* The Ewald coefficient is inversly proportional to the cut-off */
    set->ewaldcoeff_q =
        pme_lb->setup[0].ewaldcoeff_q*pme_lb->setup[0].rcut_coulomb/set->rcut_coulomb;
    /* We set ewaldcoeff_lj in set, even when LJ-PME is not used */
    set->ewaldcoeff_lj =
        pme_lb->setup[0].ewaldcoeff_lj*pme_lb->setup[0].rcut_coulomb/set->rcut_coulomb;

    set->count   = 0;
    set->cycles  = 0;

    if (debug)
    {
        fprintf(debug, "PME loadbal: grid %d %d %d, coulomb cutoff %f\n",
                set->grid[XX], set->grid[YY], set->grid[ZZ], set->rcut_coulomb);
    }
    return TRUE;
}

/*! \brief Print the PME grid */
static void print_grid(FILE *fp_err, FILE *fp_log,
                       const char *pre,
                       const char *desc,
                       const pme_setup_t *set,
                       double cycles)
{
    auto buf = gmx::formatString("%-11s%10s pme grid %d %d %d, coulomb cutoff %.3f",
                                 pre, desc,
                                 set->grid[XX], set->grid[YY], set->grid[ZZ], set->rcut_coulomb);
    if (cycles >= 0)
    {
        buf += gmx::formatString(": %.1f M-cycles", cycles*1e-6);
    }
    if (fp_err != nullptr)
    {
        fprintf(fp_err, "\r%s\n", buf.c_str());
        fflush(fp_err);
    }
    if (fp_log != nullptr)
    {
        fprintf(fp_log, "%s\n", buf.c_str());
    }
}

/*! \brief Return the index of the last setup used in PME load balancing */
static int pme_loadbal_end(pme_load_balancing_t *pme_lb)
{
    /* In the initial stage only n is set; end is not set yet */
    if (pme_lb->end > 0)
    {
        return pme_lb->end;
    }
    else
    {
        return pme_lb->n;
    }
}

/*! \brief Print descriptive string about what limits PME load balancing */
static void print_loadbal_limited(FILE *fp_err, FILE *fp_log,
                                  int64_t step,
                                  pme_load_balancing_t *pme_lb)
{
    auto buf = gmx::formatString("step %4s: the %s limits the PME load balancing to a coulomb cut-off of %.3f",
                                 gmx::int64ToString(step).c_str(),
                                 pmelblim_str[pme_lb->elimited],
                                 pme_lb->setup[pme_loadbal_end(pme_lb)-1].rcut_coulomb);
    if (fp_err != nullptr)
    {
        fprintf(fp_err, "\r%s\n", buf.c_str());
        fflush(fp_err);
    }
    if (fp_log != nullptr)
    {
        fprintf(fp_log, "%s\n", buf.c_str());
    }
}

/*! \brief Switch load balancing to stage 1
 *
 * In this stage, only reasonably fast setups are run again. */
static void switch_to_stage1(pme_load_balancing_t *pme_lb)
{
    /* Increase start until we find a setup that is not slower than
     * maxRelativeSlowdownAccepted times the fastest setup.
     */
    pme_lb->start = pme_lb->lower_limit;
    while (pme_lb->start + 1 < pme_lb->n &&
           (pme_lb->setup[pme_lb->start].count == 0 ||
            pme_lb->setup[pme_lb->start].cycles >
            pme_lb->setup[pme_lb->fastest].cycles*maxRelativeSlowdownAccepted))
    {
        pme_lb->start++;
    }
    /* While increasing start, we might have skipped setups that we did not
     * time during stage 0. We want to extend the range for stage 1 to include
     * any skipped setups that lie between setups that were measured to be
     * acceptably fast and too slow.
     */
    while (pme_lb->start > pme_lb->lower_limit &&
           pme_lb->setup[pme_lb->start - 1].count == 0)
    {
        pme_lb->start--;
    }

    /* Decrease end only with setups that we timed and that are slow. */
    pme_lb->end = pme_lb->n;
    if (pme_lb->setup[pme_lb->end - 1].count > 0 &&
        pme_lb->setup[pme_lb->end - 1].cycles >
        pme_lb->setup[pme_lb->fastest].cycles*maxRelativeSlowdownAccepted)
    {
        pme_lb->end--;
    }

    pme_lb->stage = 1;

    /* Next we want to choose setup pme_lb->end-1, but as we will decrease
     * pme_lb->cur by one right after returning, we set cur to end.
     */
    pme_lb->cur = pme_lb->end;
}

/*! \brief Process the timings and try to adjust the PME grid and Coulomb cut-off
 *
 * The adjustment is done to generate a different non-bonded PP and PME load.
 * With separate PME ranks (PP and PME on different processes) or with
 * a GPU (PP on GPU, PME on CPU), PP and PME run on different resources
 * and changing the load will affect the load balance and performance.
 * The total time for a set of integration steps is monitored and a range
 * of grid/cut-off setups is scanned. After calling pme_load_balance many
 * times and acquiring enough statistics, the best performing setup is chosen.
 * Here we try to take into account fluctuations and changes due to external
 * factors as well as DD load balancing.
 */
static void
pme_load_balance(pme_load_balancing_t      *pme_lb,
                 t_commrec                 *cr,
                 FILE                      *fp_err,
                 FILE                      *fp_log,
                 const gmx::MDLogger       &mdlog,
                 const t_inputrec          &ir,
                 const t_state             &state,
                 double                     cycles,
                 interaction_const_t       *ic,
                 struct nonbonded_verlet_t *nbv,
                 struct gmx_pme_t **        pmedata,
                 int64_t                    step)
{
    gmx_bool     OK;
    pme_setup_t *set;
    double       cycles_fast;
    char         buf[STRLEN], sbuf[22];
    real         rtab;

    if (PAR(cr))
    {
        gmx_sumd(1, &cycles, cr);
        cycles /= cr->nnodes;
    }

    set = &pme_lb->setup[pme_lb->cur];
    set->count++;

    rtab = ir.rlist + ir.tabext;

    if (set->count % 2 == 1)
    {
        /* Skip the first cycle, because the first step after a switch
         * is much slower due to allocation and/or caching effects.
         */
        return;
    }

    sprintf(buf, "step %4s: ", gmx_step_str(step, sbuf));
    print_grid(fp_err, fp_log, buf, "timed with", set, cycles);

    if (set->count <= 2)
    {
        set->cycles = cycles;
    }
    else
    {
        if (cycles*maxFluctuationAccepted < set->cycles &&
            pme_lb->stage == pme_lb->nstage - 1)
        {
            /* The performance went up a lot (due to e.g. DD load balancing).
             * Add a stage, keep the minima, but rescan all setups.
             */
            pme_lb->nstage++;

            if (debug)
            {
                fprintf(debug, "The performance for grid %d %d %d went from %.3f to %.1f M-cycles, this is more than %f\n"
                        "Increased the number stages to %d"
                        " and ignoring the previous performance\n",
                        set->grid[XX], set->grid[YY], set->grid[ZZ],
                        set->cycles*1e-6, cycles*1e-6, maxFluctuationAccepted,
                        pme_lb->nstage);
            }
        }
        set->cycles = std::min(set->cycles, cycles);
    }

    if (set->cycles < pme_lb->setup[pme_lb->fastest].cycles)
    {
        pme_lb->fastest = pme_lb->cur;

        if (DOMAINDECOMP(cr))
        {
            /* We found a new fastest setting, ensure that with subsequent
             * shorter cut-off's the dynamic load balancing does not make
             * the use of the current cut-off impossible. This solution is
             * a trade-off, as the PME load balancing and DD domain size
             * load balancing can interact in complex ways.
             * With the Verlet kernels, DD load imbalance will usually be
             * mainly due to bonded interaction imbalance, which will often
             * quickly push the domain boundaries beyond the limit for the
             * optimal, PME load balanced, cut-off. But it could be that
             * better overal performance can be obtained with a slightly
             * shorter cut-off and better DD load balancing.
             */
            set_dd_dlb_max_cutoff(cr, pme_lb->setup[pme_lb->fastest].rlistOuter);
        }
    }
    cycles_fast = pme_lb->setup[pme_lb->fastest].cycles;

    /* Check in stage 0 if we should stop scanning grids.
     * Stop when the time is more than maxRelativeSlowDownAccepted longer than the fastest.
     */
    if (pme_lb->stage == 0 && pme_lb->cur > 0 &&
        cycles > pme_lb->setup[pme_lb->fastest].cycles*maxRelativeSlowdownAccepted)
    {
        pme_lb->n = pme_lb->cur + 1;
        /* Done with scanning, go to stage 1 */
        switch_to_stage1(pme_lb);
    }

    if (pme_lb->stage == 0)
    {
        int gridsize_start;

        gridsize_start = set->grid[XX]*set->grid[YY]*set->grid[ZZ];

        do
        {
            if (pme_lb->cur+1 < pme_lb->n)
            {
                /* We had already generated the next setup */
                OK = TRUE;
            }
            else
            {
                /* Find the next setup */
                OK = pme_loadbal_increase_cutoff(pme_lb, ir.pme_order, cr->dd);

                if (!OK)
                {
                    pme_lb->elimited = epmelblimPMEGRID;
                }
            }

            if (OK &&
                pme_lb->setup[pme_lb->cur+1].spacing > c_maxSpacingScaling*pme_lb->setup[0].spacing)
            {
                OK               = FALSE;
                pme_lb->elimited = epmelblimMAXSCALING;
            }

            if (OK && ir.ePBC != epbcNONE)
            {
                OK = (gmx::square(pme_lb->setup[pme_lb->cur+1].rlistOuter)
                      <= max_cutoff2(ir.ePBC, state.box));
                if (!OK)
                {
                    pme_lb->elimited = epmelblimBOX;
                }
            }

            if (OK)
            {
                pme_lb->cur++;

                if (DOMAINDECOMP(cr))
                {
                    OK = change_dd_cutoff(cr, state,
                                          pme_lb->setup[pme_lb->cur].rlistOuter);
                    if (!OK)
                    {
                        /* Failed: do not use this setup */
                        pme_lb->cur--;
                        pme_lb->elimited = epmelblimDD;
                    }
                }
            }
            if (!OK)
            {
                /* We hit the upper limit for the cut-off,
                 * the setup should not go further than cur.
                 */
                pme_lb->n = pme_lb->cur + 1;
                print_loadbal_limited(fp_err, fp_log, step, pme_lb);
                /* Switch to the next stage */
                switch_to_stage1(pme_lb);
            }
        }
        while (OK &&
               !(pme_lb->setup[pme_lb->cur].grid[XX]*
                 pme_lb->setup[pme_lb->cur].grid[YY]*
                 pme_lb->setup[pme_lb->cur].grid[ZZ] <
                 gridsize_start*gridpointsScaleFactor
                 &&
                 pme_lb->setup[pme_lb->cur].grid_efficiency <
                 pme_lb->setup[pme_lb->cur-1].grid_efficiency*relativeEfficiencyFactor));
    }

    if (pme_lb->stage > 0 && pme_lb->end == 1)
    {
        pme_lb->cur   = pme_lb->lower_limit;
        pme_lb->stage = pme_lb->nstage;
    }
    else if (pme_lb->stage > 0 && pme_lb->end > 1)
    {
        /* If stage = nstage-1:
         *   scan over all setups, rerunning only those setups
         *   which are not much slower than the fastest
         * else:
         *   use the next setup
         * Note that we loop backward to minimize the risk of the cut-off
         * getting limited by DD DLB, since the DLB cut-off limit is set
         * to the fastest PME setup.
         */
        do
        {
            if (pme_lb->cur > pme_lb->start)
            {
                pme_lb->cur--;
            }
            else
            {
                pme_lb->stage++;

                pme_lb->cur = pme_lb->end - 1;
            }
        }
        while (pme_lb->stage == pme_lb->nstage - 1 &&
               pme_lb->setup[pme_lb->cur].count > 0 &&
               pme_lb->setup[pme_lb->cur].cycles > cycles_fast*maxRelativeSlowdownAccepted);

        if (pme_lb->stage == pme_lb->nstage)
        {
            /* We are done optimizing, use the fastest setup we found */
            pme_lb->cur = pme_lb->fastest;
        }
    }

    if (DOMAINDECOMP(cr) && pme_lb->stage > 0)
    {
        OK = change_dd_cutoff(cr, state, pme_lb->setup[pme_lb->cur].rlistOuter);
        if (!OK)
        {
            /* For some reason the chosen cut-off is incompatible with DD.
             * We should continue scanning a more limited range of cut-off's.
             */
            if (pme_lb->cur > 1 && pme_lb->stage == pme_lb->nstage)
            {
                /* stage=nstage says we're finished, but we should continue
                 * balancing, so we set back stage which was just incremented.
                 */
                pme_lb->stage--;
            }
            if (pme_lb->cur <= pme_lb->fastest)
            {
                /* This should not happen, as we set limits on the DLB bounds.
                 * But we implement a complete failsafe solution anyhow.
                 */
                GMX_LOG(mdlog.warning).asParagraph().appendTextFormatted(
                        "The fastest PP/PME load balancing setting (cutoff %.3d nm) is no longer available due to DD DLB or box size limitations", pme_lb->fastest);
                pme_lb->fastest = pme_lb->lower_limit;
                pme_lb->start   = pme_lb->lower_limit;
            }
            /* Limit the range to below the current cut-off, scan from start */
            pme_lb->end         = pme_lb->cur;
            pme_lb->cur         = pme_lb->start;
            pme_lb->elimited    = epmelblimDD;
            print_loadbal_limited(fp_err, fp_log, step, pme_lb);
        }
    }

    /* Change the Coulomb cut-off and the PME grid */

    set = &pme_lb->setup[pme_lb->cur];

    NbnxnListParameters *listParams = nbv->listParams.get();

    ic->rcoulomb           = set->rcut_coulomb;
    listParams->rlistOuter = set->rlistOuter;
    listParams->rlistInner = set->rlistInner;
    ic->ewaldcoeff_q       = set->ewaldcoeff_q;
    /* TODO: centralize the code that sets the potentials shifts */
    if (ic->coulomb_modifier == eintmodPOTSHIFT)
    {
        GMX_RELEASE_ASSERT(ic->rcoulomb != 0, "Cutoff radius cannot be zero");
        ic->sh_ewald = std::erfc(ic->ewaldcoeff_q*ic->rcoulomb) / ic->rcoulomb;
    }
    if (EVDW_PME(ic->vdwtype))
    {
        /* We have PME for both Coulomb and VdW, set rvdw equal to rcoulomb */
        ic->rvdw            = set->rcut_coulomb;
        ic->ewaldcoeff_lj   = set->ewaldcoeff_lj;
        if (ic->vdw_modifier == eintmodPOTSHIFT)
        {
            real       crc2;

            ic->dispersion_shift.cpot = -1.0/gmx::power6(static_cast<double>(ic->rvdw));
            ic->repulsion_shift.cpot  = -1.0/gmx::power12(static_cast<double>(ic->rvdw));
            ic->sh_invrc6             = -ic->dispersion_shift.cpot;
            crc2                      = gmx::square(ic->ewaldcoeff_lj*ic->rvdw);
            ic->sh_lj_ewald           = (std::exp(-crc2)*(1 + crc2 + 0.5*crc2*crc2) - 1)/gmx::power6(ic->rvdw);
        }
    }

    /* We always re-initialize the tables whether they are used or not */
    init_interaction_const_tables(nullptr, ic, rtab);

    nbnxn_gpu_pme_loadbal_update_param(nbv, ic, listParams);

    if (!pme_lb->bSepPMERanks)
    {
        /* FIXME:
         * CPU PME keeps a list of allocated pmedata's, that's why pme_lb->setup[pme_lb->cur].pmedata is not always nullptr.
         * GPU PME, however, currently needs the gmx_pme_reinit always called on load balancing
         * (pme_gpu_reinit might be not sufficiently decoupled from gmx_pme_init).
         * This can lead to a lot of reallocations for PME GPU.
         * Would be nicer if the allocated grid list was hidden within a single pmedata structure.
         */
        if ((pme_lb->setup[pme_lb->cur].pmedata == nullptr) || pme_gpu_task_enabled(pme_lb->setup[pme_lb->cur].pmedata))
        {
            /* Generate a new PME data structure,
             * copying part of the old pointers.
             */
            gmx_pme_reinit(&set->pmedata,
                           cr, pme_lb->setup[0].pmedata, &ir,
                           set->grid, set->ewaldcoeff_q, set->ewaldcoeff_lj);
        }
        *pmedata = set->pmedata;
    }
    else
    {
        /* Tell our PME-only rank to switch grid */
        gmx_pme_send_switchgrid(cr, set->grid, set->ewaldcoeff_q, set->ewaldcoeff_lj);
    }

    if (debug)
    {
        print_grid(nullptr, debug, "", "switched to", set, -1);
    }

    if (pme_lb->stage == pme_lb->nstage)
    {
        print_grid(fp_err, fp_log, "", "optimal", set, -1);
    }
}

/*! \brief Prepare for another round of PME load balancing
 *
 * \param[in,out] pme_lb       Pointer to PME load balancing struct
 * \param[in]     bDlbUnlocked TRUE is DLB was locked and is now unlocked
 *
 * If the conditions (e.g. DLB off/on, CPU/GPU throttling etc.) changed,
 * the PP/PME balance might change and re-balancing can improve performance.
 * This function adds 2 stages and adjusts the considered setup range.
 */
static void continue_pme_loadbal(pme_load_balancing_t *pme_lb,
                                 gmx_bool              bDlbUnlocked)
{
    /* Add 2 tuning stages, keep the detected end of the setup range */
    pme_lb->nstage          += 2;
    if (bDlbUnlocked && pme_lb->bSepPMERanks)
    {
        /* With separate PME ranks, DLB should always lower the PP load and
         * can only increase the PME load (more communication and imbalance),
         * so we only need to scan longer cut-off's.
         */
        pme_lb->lower_limit  = pme_lb->cur;
    }
    pme_lb->start            = pme_lb->lower_limit;
}

void pme_loadbal_do(pme_load_balancing_t *pme_lb,
                    t_commrec            *cr,
                    FILE                 *fp_err,
                    FILE                 *fp_log,
                    const gmx::MDLogger  &mdlog,
                    const t_inputrec     &ir,
                    t_forcerec           *fr,
                    const t_state        &state,
                    gmx_wallcycle_t       wcycle,
                    int64_t               step,
                    int64_t               step_rel,
                    gmx_bool             *bPrinting)
{
    int    n_prev;
    double cycles_prev;

    assert(pme_lb != nullptr);

    if (!pme_lb->bActive)
    {
        return;
    }

    n_prev      = pme_lb->cycles_n;
    cycles_prev = pme_lb->cycles_c;
    wallcycle_get(wcycle, ewcSTEP, &pme_lb->cycles_n, &pme_lb->cycles_c);

    /* Before the first step we haven't done any steps yet.
     * Also handle cases where ir.init_step % ir.nstlist != 0.
     */
    if (pme_lb->cycles_n < ir.nstlist)
    {
        return;
    }
    /* Sanity check, we expect nstlist cycle counts */
    if (pme_lb->cycles_n - n_prev != ir.nstlist)
    {
        /* We could return here, but it's safer to issue an error and quit */
        gmx_incons("pme_loadbal_do called at an interval != nstlist");
    }

    /* PME grid + cut-off optimization with GPUs or PME ranks */
    if (!pme_lb->bBalance && pme_lb->bSepPMERanks)
    {
        if (pme_lb->bTriggerOnDLB)
        {
            pme_lb->bBalance = dd_dlb_is_on(cr->dd);
        }
        /* We should ignore the first timing to avoid timing allocation
         * overhead. And since the PME load balancing is called just
         * before DD repartitioning, the ratio returned by dd_pme_f_ratio
         * is not over the last nstlist steps, but the nstlist steps before
         * that. So the first useful ratio is available at step_rel=3*nstlist.
         */
        else if (step_rel >= 3*ir.nstlist)
        {
            if (DDMASTER(cr->dd))
            {
                /* If PME rank load is too high, start tuning */
                pme_lb->bBalance =
                    (dd_pme_f_ratio(cr->dd) >= loadBalanceTriggerFactor);
            }
            dd_bcast(cr->dd, sizeof(gmx_bool), &pme_lb->bBalance);
        }

        pme_lb->bActive = (pme_lb->bBalance ||
                           step_rel <= pme_lb->step_rel_stop);
    }

    /* The location in the code of this balancing termination is strange.
     * You would expect to have it after the call to pme_load_balance()
     * below, since there pme_lb->stage is updated.
     * But when terminating directly after deciding on and selecting the
     * optimal setup, DLB will turn on right away if it was locked before.
     * This might be due to PME reinitialization. So we check stage here
     * to allow for another nstlist steps with DLB locked to stabilize
     * the performance.
     */
    if (pme_lb->bBalance && pme_lb->stage == pme_lb->nstage)
    {
        pme_lb->bBalance = FALSE;

        if (DOMAINDECOMP(cr) && dd_dlb_is_locked(cr->dd))
        {
            /* Unlock the DLB=auto, DLB is allowed to activate */
            dd_dlb_unlock(cr->dd);
            GMX_LOG(mdlog.warning).asParagraph().appendText("NOTE: DLB can now turn on, when beneficial");

            /* We don't deactivate the tuning yet, since we will balance again
             * after DLB gets turned on, if it does within PMETune_period.
             */
            continue_pme_loadbal(pme_lb, TRUE);
            pme_lb->bTriggerOnDLB = TRUE;
            pme_lb->step_rel_stop = step_rel + PMETunePeriod*ir.nstlist;
        }
        else
        {
            /* We're completely done with PME tuning */
            pme_lb->bActive = FALSE;
        }

        if (DOMAINDECOMP(cr))
        {
            /* Set the cut-off limit to the final selected cut-off,
             * so we don't have artificial DLB limits.
             * This also ensures that we won't disable the currently
             * optimal setting during a second round of PME balancing.
             */
            set_dd_dlb_max_cutoff(cr, fr->nbv->listParams->rlistOuter);
        }
    }

    if (pme_lb->bBalance)
    {
        /* We might not have collected nstlist steps in cycles yet,
         * since init_step might not be a multiple of nstlist,
         * but the first data collected is skipped anyhow.
         */
        pme_load_balance(pme_lb, cr,
                         fp_err, fp_log, mdlog,
                         ir, state, pme_lb->cycles_c - cycles_prev,
                         fr->ic, fr->nbv, &fr->pmedata,
                         step);

        /* Update deprecated rlist in forcerec to stay in sync with fr->nbv */
        fr->rlist         = fr->nbv->listParams->rlistOuter;

        if (ir.eDispCorr != edispcNO)
        {
            calc_enervirdiff(nullptr, ir.eDispCorr, fr);
        }
    }

    if (!pme_lb->bBalance &&
        (!pme_lb->bSepPMERanks || step_rel > pme_lb->step_rel_stop))
    {
        /* We have just deactivated the balancing and we're not measuring PP/PME
         * imbalance during the first steps of the run: deactivate the tuning.
         */
        pme_lb->bActive = FALSE;
    }

    if (!(pme_lb->bActive) && DOMAINDECOMP(cr) && dd_dlb_is_locked(cr->dd))
    {
        /* Make sure DLB is allowed when we deactivate PME tuning */
        dd_dlb_unlock(cr->dd);
        GMX_LOG(mdlog.warning).asParagraph().appendText("NOTE: DLB can now turn on, when beneficial");
    }

    *bPrinting = pme_lb->bBalance;
}

/*! \brief Return product of the number of PME grid points in each dimension */
static int pme_grid_points(const pme_setup_t *setup)
{
    return setup->grid[XX]*setup->grid[YY]*setup->grid[ZZ];
}

/*! \brief Print one load-balancing setting */
static void print_pme_loadbal_setting(FILE              *fplog,
                                      const char        *name,
                                      const pme_setup_t *setup)
{
    fprintf(fplog,
            "   %-7s %6.3f nm %6.3f nm     %3d %3d %3d   %5.3f nm  %5.3f nm\n",
            name,
            setup->rcut_coulomb, setup->rlistInner,
            setup->grid[XX], setup->grid[YY], setup->grid[ZZ],
            setup->spacing, 1/setup->ewaldcoeff_q);
}

/*! \brief Print all load-balancing settings */
static void print_pme_loadbal_settings(pme_load_balancing_t *pme_lb,
                                       FILE                 *fplog,
                                       const gmx::MDLogger  &mdlog,
                                       gmx_bool              bNonBondedOnGPU)
{
    double     pp_ratio, grid_ratio;
    real       pp_ratio_temporary;

    pp_ratio_temporary = pme_lb->setup[pme_lb->cur].rlistInner / pme_lb->setup[0].rlistInner;
    pp_ratio           = gmx::power3(pp_ratio_temporary);
    grid_ratio         = pme_grid_points(&pme_lb->setup[pme_lb->cur])/
        static_cast<double>(pme_grid_points(&pme_lb->setup[0]));

    fprintf(fplog, "\n");
    fprintf(fplog, "       P P   -   P M E   L O A D   B A L A N C I N G\n");
    fprintf(fplog, "\n");
    /* Here we only warn when the optimal setting is the last one */
    if (pme_lb->elimited != epmelblimNO &&
        pme_lb->cur == pme_loadbal_end(pme_lb)-1)
    {
        fprintf(fplog, " NOTE: The PP/PME load balancing was limited by the %s,\n",
                pmelblim_str[pme_lb->elimited]);
        fprintf(fplog, "       you might not have reached a good load balance.\n");
        if (pme_lb->elimited == epmelblimDD)
        {
            fprintf(fplog, "       Try different mdrun -dd settings or lower the -dds value.\n");
        }
        fprintf(fplog, "\n");
    }
    fprintf(fplog, " PP/PME load balancing changed the cut-off and PME settings:\n");
    fprintf(fplog, "           particle-particle                    PME\n");
    fprintf(fplog, "            rcoulomb  rlist            grid      spacing   1/beta\n");
    print_pme_loadbal_setting(fplog, "initial", &pme_lb->setup[0]);
    print_pme_loadbal_setting(fplog, "final", &pme_lb->setup[pme_lb->cur]);
    fprintf(fplog, " cost-ratio           %4.2f             %4.2f\n",
            pp_ratio, grid_ratio);
    fprintf(fplog, " (note that these numbers concern only part of the total PP and PME load)\n");

    if (pp_ratio > 1.5 && !bNonBondedOnGPU)
    {
        GMX_LOG(mdlog.warning).asParagraph().appendText(
                "NOTE: PME load balancing increased the non-bonded workload by more than 50%.\n"
                "      For better performance, use (more) PME ranks (mdrun -npme),\n"
                "      or if you are beyond the scaling limit, use fewer total ranks (or nodes).");
    }
    else
    {
        fprintf(fplog, "\n");
    }
}

void pme_loadbal_done(pme_load_balancing_t *pme_lb,
                      FILE                 *fplog,
                      const gmx::MDLogger  &mdlog,
                      gmx_bool              bNonBondedOnGPU)
{
    if (fplog != nullptr && (pme_lb->cur > 0 || pme_lb->elimited != epmelblimNO))
    {
        print_pme_loadbal_settings(pme_lb, fplog, mdlog, bNonBondedOnGPU);
    }

    /* TODO: Here we should free all pointers in pme_lb,
     * but as it contains pme data structures,
     * we need to first make pme.c free all data.
     */
}