/* Copyright 2004,2007,2009-2011,2014,2018,2021 IPB, Universite de Bordeaux, INRIA & CNRS
**
** This file is part of the Scotch software package for static mapping,
** graph partitioning and sparse matrix ordering.
**
** This software is governed by the CeCILL-C license under French law
** and abiding by the rules of distribution of free software. You can
** use, modify and/or redistribute the software under the terms of the
** CeCILL-C license as circulated by CEA, CNRS and INRIA at the following
** URL: "http://www.cecill.info".
**
** As a counterpart to the access to the source code and rights to copy,
** modify and redistribute granted by the license, users are provided
** only with a limited warranty and the software's author, the holder of
** the economic rights, and the successive licensors have only limited
** liability.
**
** In this respect, the user's attention is drawn to the risks associated
** with loading, using, modifying and/or developing or reproducing the
** software by the user in light of its specific status of free software,
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**
** The fact that you are presently reading this means that you have had
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*/
/************************************************************/
/**                                                        **/
/**   NAME       : kgraph_map_st.c                         **/
/**                                                        **/
/**   AUTHOR     : Francois PELLEGRINI                     **/
/**                Sebastien FOURESTIER (v6.0)             **/
/**                                                        **/
/**   FUNCTION   : This module contains the strategy and   **/
/**                method tables for the multi-way static  **/
/**                mapping routines.                       **/
/**                                                        **/
/**   DATES      : # Version 3.2  : from : 15 oct 1996     **/
/**                                 to   : 26 may 1998     **/
/**                # Version 3.3  : from : 19 oct 1998     **/
/**                                 to   : 17 may 1999     **/
/**                # Version 3.4  : from : 12 sep 2001     **/
/**                                 to   : 12 sep 2001     **/
/**                # Version 4.0  : from : 12 jan 2004     **/
/**                                 to   : 05 jan 2005     **/
/**                # Version 5.1  : from : 04 oct 2009     **/
/**                                 to   : 29 mar 2011     **/
/**                # Version 6.0  : from : 03 mar 2011     **/
/**                                 to   : 04 aug 2018     **/
/**                # Version 6.1  : from : 18 jul 2021     **/
/**                                 to   : 18 jul 2021     **/
/**                                                        **/
/************************************************************/

/*
**  The defines and includes.
*/

#define KGRAPH_MAP_ST

#include "module.h"
#include "common.h"
#include "parser.h"
#include "gain.h"
#include "fibo.h"
#include "graph.h"
#include "arch.h"
#include "graph_coarsen.h"
#include "mapping.h"
#include "bgraph.h"
#include "bgraph_bipart_st.h"
#include "kgraph.h"
#include "kgraph_map_bd.h"
#include "kgraph_map_cp.h"
#include "kgraph_map_df.h"
#include "kgraph_map_ex.h"
#include "kgraph_map_fm.h"
#include "kgraph_map_ml.h"
#include "kgraph_map_rb.h"
#include "kgraph_map_st.h"

/*
**  The static and global variables.
*/

static Kgraph               kgraphdummy;          /*+ Dummy active graph for offset computations +*/

static union {
  KgraphMapBdParam          param;
  StratNodeMethodData       padding;
} kgraphmapstdefaultbd = { { 3, &stratdummy, &stratdummy } };

static union {
  StratNodeMethodData       padding;
} kgraphmapstdefaultcp;

static union {
  KgraphMapDfParam          param;
  StratNodeMethodData       padding;
} kgraphmapstdefaultdf = { { 40, 1.0F, 0.0F } };

static union {
  KgraphMapExParam          param;
  StratNodeMethodData       padding;
} kgraphmapstdefaultex = { { 0.05 } };

static union {
  KgraphMapFmParam          param;
  StratNodeMethodData       padding;
} kgraphmapstdefaultfm = { { 200, ~0, 0.05 } };

static union {
  KgraphMapMlParam          param;
  StratNodeMethodData       padding;
} kgraphmapstdefaultml = { { 100, 0.8, &stratdummy, &stratdummy, 0 } };

static union {
  KgraphMapRbParam          param;
  StratNodeMethodData       padding;
} kgraphmapstdefaultrb = { { 1, 1, KGRAPHMAPRBPOLINGSIZE, &stratdummy, 0.05 } };

static StratMethodTab       kgraphmapstmethtab[] = { /* Mapping methods array */
                              { KGRAPHMAPSTMETHBD, "b",  kgraphMapBd, &kgraphmapstdefaultbd },
                              { KGRAPHMAPSTMETHCP, "c",  kgraphMapCp, &kgraphmapstdefaultcp },
                              { KGRAPHMAPSTMETHDF, "d",  kgraphMapDf, &kgraphmapstdefaultdf },
                              { KGRAPHMAPSTMETHEX, "x",  kgraphMapEx, &kgraphmapstdefaultex },
                              { KGRAPHMAPSTMETHFM, "f",  kgraphMapFm, &kgraphmapstdefaultfm },
                              { KGRAPHMAPSTMETHML, "m",  kgraphMapMl, &kgraphmapstdefaultml },
                              { KGRAPHMAPSTMETHRB, "r",  kgraphMapRb, &kgraphmapstdefaultrb },
                              { -1,                NULL, NULL,        NULL } };

static StratParamTab        kgraphmapstparatab[] = { /* Method parameter list */
                              { KGRAPHMAPSTMETHBD,  STRATPARAMINT,    "width",
                                (byte *) &kgraphmapstdefaultbd.param,
                                (byte *) &kgraphmapstdefaultbd.param.distmax,
                                NULL },
                              { KGRAPHMAPSTMETHBD,  STRATPARAMSTRAT,  "bnd",
                                (byte *) &kgraphmapstdefaultbd.param,
                                (byte *) &kgraphmapstdefaultbd.param.stratbnd,
                                (void *) &kgraphmapststratab },
                              { KGRAPHMAPSTMETHBD,  STRATPARAMSTRAT,  "org",
                                (byte *) &kgraphmapstdefaultbd.param,
                                (byte *) &kgraphmapstdefaultbd.param.stratorg,
                                (void *) &kgraphmapststratab },
                              { KGRAPHMAPSTMETHDF,  STRATPARAMINT,    "pass",
                                (byte *) &kgraphmapstdefaultdf.param,
                                (byte *) &kgraphmapstdefaultdf.param.passnbr,
                                NULL },
                              { KGRAPHMAPSTMETHDF,  STRATPARAMDOUBLE, "dif",
                                (byte *) &kgraphmapstdefaultdf.param,
                                (byte *) &kgraphmapstdefaultdf.param.cdifval,
                                NULL },
                              { KGRAPHMAPSTMETHDF,  STRATPARAMDOUBLE, "rem",
                                (byte *) &kgraphmapstdefaultdf.param,
                                (byte *) &kgraphmapstdefaultdf.param.cremval,
                                NULL },
                              { KGRAPHMAPSTMETHEX,  STRATPARAMDOUBLE, "bal",
                                (byte *) &kgraphmapstdefaultex.param,
                                (byte *) &kgraphmapstdefaultex.param.kbalval,
                                (void *) &kgraphmapststratab },
                              { KGRAPHMAPSTMETHFM,  STRATPARAMINT,    "move",
                                (byte *) &kgraphmapstdefaultfm.param,
                                (byte *) &kgraphmapstdefaultfm.param.movenbr,
                                NULL },
                              { KGRAPHMAPSTMETHFM,  STRATPARAMINT,    "pass",
                                (byte *) &kgraphmapstdefaultfm.param,
                                (byte *) &kgraphmapstdefaultfm.param.passnbr,
                                NULL },
                              { KGRAPHMAPSTMETHFM,  STRATPARAMDOUBLE, "bal",
                                (byte *) &kgraphmapstdefaultfm.param,
                                (byte *) &kgraphmapstdefaultfm.param.deltval,
                                NULL },
                              { KGRAPHMAPSTMETHML,  STRATPARAMSTRAT,  "asc",
                                (byte *) &kgraphmapstdefaultml.param,
                                (byte *) &kgraphmapstdefaultml.param.stratasc,
                                (void *) &kgraphmapststratab },
                              { KGRAPHMAPSTMETHML,  STRATPARAMSTRAT,  "low",
                                (byte *) &kgraphmapstdefaultml.param,
                                (byte *) &kgraphmapstdefaultml.param.stratlow,
                                (void *) &kgraphmapststratab },
                              { KGRAPHMAPSTMETHML,  STRATPARAMINT,    "vert",
                                (byte *) &kgraphmapstdefaultml.param,
                                (byte *) &kgraphmapstdefaultml.param.coarnbr,
                                NULL },
                              { KGRAPHMAPSTMETHML,  STRATPARAMDOUBLE, "rat",
                                (byte *) &kgraphmapstdefaultml.param,
                                (byte *) &kgraphmapstdefaultml.param.coarval,
                                NULL },
                              { KGRAPHMAPSTMETHML,  STRATPARAMCASE,   "type",
                                (byte *) &kgraphmapstdefaultml.param,
                                (byte *) &kgraphmapstdefaultml.param.typeval,
                                (void *) "hscd" },
                              { KGRAPHMAPSTMETHRB,  STRATPARAMCASE,   "job",
                                (byte *) &kgraphmapstdefaultrb.param,
                                (byte *) &kgraphmapstdefaultrb.param.flagjobtie,
                                (void *) "ut" },
                              { KGRAPHMAPSTMETHRB,  STRATPARAMDOUBLE, "bal",
                                (byte *) &kgraphmapstdefaultrb.param,
                                (byte *) &kgraphmapstdefaultrb.param.kbalval,
                                NULL },
                              { KGRAPHMAPSTMETHRB,  STRATPARAMCASE,   "map",
                                (byte *) &kgraphmapstdefaultrb.param,
                                (byte *) &kgraphmapstdefaultrb.param.flagmaptie,
                                (void *) "ut" },
                              { KGRAPHMAPSTMETHRB,  STRATPARAMCASE,   "poli",
                                (byte *) &kgraphmapstdefaultrb.param,
                                (byte *) &kgraphmapstdefaultrb.param.polival,
                                (void *) "rlsLS" },
                              { KGRAPHMAPSTMETHRB,  STRATPARAMSTRAT,  "sep",
                                (byte *) &kgraphmapstdefaultrb.param,
                                (byte *) &kgraphmapstdefaultrb.param.strat,
                                (void *) &bgraphbipartststratab },
                              { KGRAPHMAPSTMETHNBR, STRATPARAMINT,    NULL,
                                NULL, NULL, NULL } };

static StratParamTab        kgraphmapstcondtab[] = { /* Graph condition parameter table */
                              { STRATNODECOND,       STRATPARAMINT,    "load",
                                (byte *) &kgraphdummy,
                                (byte *) &kgraphdummy.s.velosum,
                                NULL },
                              { STRATNODECOND,       STRATPARAMINT,    "levl",
                                (byte *) &kgraphdummy,
                                (byte *) &kgraphdummy.levlnum,
                                NULL },
                              { STRATNODECOND,       STRATPARAMINT,    "edge",
                                (byte *) &kgraphdummy,
                                (byte *) &kgraphdummy.s.edgenbr,
                                NULL },
                              { STRATNODECOND,       STRATPARAMINT,    "vert",
                                (byte *) &kgraphdummy,
                                (byte *) &kgraphdummy.s.vertnbr,
                                NULL },
                              { STRATNODENBR,        STRATPARAMINT,    NULL,
                                NULL, NULL, NULL } };

StratTab                    kgraphmapststratab = { /* Strategy tables for graph mapping methods */
                              kgraphmapstmethtab,
                              kgraphmapstparatab,
                              kgraphmapstcondtab };

/****************************************/
/*                                      */
/* This is the generic mapping routine. */
/*                                      */
/****************************************/

/* This routine computes the given
** mapping according to the given
** strategy.
** It returns:
** - 0   : on success.
** - !0  : on error.
*/

int
kgraphMapSt (
Kgraph * restrict const       grafptr,            /*+ Mapping graph    +*/
const Strat * restrict const  strat)              /*+ Mapping strategy +*/
{
  StratTest           val;                        /* Result of condition evaluation              */
  KgraphStore         savetab[2];                 /* Results of the two strategies               */
  Gnum                comploaddltasu[2];          /* Absolute sum of computation load delta      */
  Anum                partnum;
  int                 o;
  int                 o2;

#ifdef SCOTCH_DEBUG_KGRAPH2
  if (sizeof (Gnum) != sizeof (INT)) {
    errorPrint ("kgraphMapSt: invalid type specification for parser variables");
    return (1);
  }
  if ((sizeof (KgraphMapRbParam) > sizeof (StratNodeMethodData))) {
    errorPrint ("kgraphMapSt: invalid type specification");
    return (1);
  }
#endif /* SCOTCH_DEBUG_KGRAPH2 */
#ifdef SCOTCH_DEBUG_KGRAPH1
  if ((strat->tabl != &kgraphmapststratab) &&
      (strat       != &stratdummy)) {
    errorPrint ("kgraphMapSt: invalid parameter (1)");
    return (1);
  }
#endif /* SCOTCH_DEBUG_KGRAPH1 */

  o = 0;
  switch (strat->type) {
    case STRATNODECONCAT :
      o = kgraphMapSt (grafptr, strat->data.concat.strat[0]); /* Apply first strategy          */
      if (o == 0)                                 /* If it worked all right                    */
        o |= kgraphMapSt (grafptr, strat->data.concat.strat[1]); /* Then apply second strategy */
      break;
    case STRATNODECOND :
      o = stratTestEval (strat->data.cond.test, &val, (void *) grafptr); /* Evaluate expression */
      if (o == 0) {                               /* If evaluation was correct                  */
#ifdef SCOTCH_DEBUG_KGRAPH2
        if ((val.typetest != STRATTESTVAL) ||
            (val.typenode != STRATPARAMLOG)) {
          errorPrint ("kgraphMapSt: invalid test result");
          o = 1;
          break;
        }
#endif /* SCOTCH_DEBUG_KGRAPH2 */
        if (val.data.val.vallog == 1)             /* If expression is true                 */
          o = kgraphMapSt (grafptr, strat->data.cond.strat[0]); /* Apply first strategy    */
        else {                                    /* Else if expression is false           */
          if (strat->data.cond.strat[1] != NULL)  /* And if there is an else statement     */
            o = kgraphMapSt (grafptr, strat->data.cond.strat[1]); /* Apply second strategy */
        }
      }
      break;
    case STRATNODEEMPTY :
      break;
    case STRATNODESELECT :
      if (kgraphStoreInit (grafptr, &savetab[1]) != 0) { /* Allocate second save area for current graph state */
        errorPrint ("kgraphMapSt: out of memory (1)");
        return (1);
      }
      kgraphStoreSave (grafptr, &savetab[1]);     /* Save initial partition           */
      o = kgraphMapSt (grafptr, strat->data.select.strat[0]); /* Apply first strategy */

      if (kgraphStoreInit (grafptr, &savetab[0]) != 0) { /* Allocate first save area for after first strategy */
        errorPrint      ("kgraphMapSt: out of memory (2)");
        kgraphStoreExit (&savetab[1]);
        return (1);
      }
      kgraphStoreSave  (grafptr, &savetab[0]);    /* Save result of first strategy      */
      kgraphStoreUpdt  (grafptr, &savetab[1]);    /* Restore initial partition          */
      o2 = kgraphMapSt (grafptr, strat->data.select.strat[1]); /* Apply second strategy */

      if ((o == 0) || (o2 == 0)) {                /* If at least one method has computed a partition */
        int                 b0;
        int                 b1;

        b0 = o;                                   /* Assume that balance is invalid if partitioning has failed */
        comploaddltasu[0] = 0;
        for (partnum = 0; partnum < savetab[0].domnnbr; partnum ++) {
          Gnum                comploadadlt;

          comploadadlt = abs (savetab[0].comploaddlt[partnum]);
          if (comploadadlt > ((Gnum) ((double) savetab[0].comploadavg[partnum] * savetab[0].kbalval)))
            b0 |= 1;
          comploaddltasu[0] += comploadadlt;
        }

        b1 = o2;
        comploaddltasu[1] = 0;
        for (partnum = 0; partnum < grafptr->m.domnnbr; partnum ++) {
          Gnum                comploadadlt;

          comploadadlt = abs (grafptr->comploaddlt[partnum]);
          if (comploadadlt > ((Gnum) ((double) grafptr->comploadavg[partnum] * grafptr->kbalval)))
            b1 |= 1;
          comploaddltasu[1] += comploadadlt;
        }

        do {                                      /* Do we want to restore partition 0? */
          if (b0 > b1)
            break;
          if (b0 == b1) {                         /* If both are valid or invalid  */
            if (b0 == 0) {                        /* If both are valid             */
              if ( (savetab[0].commload >  grafptr->commload) || /* Compare on cut */
                  ((savetab[0].commload == grafptr->commload) &&
                   (comploaddltasu[0] > comploaddltasu[1])))
                break;
            }
            else {                                /* If both are invalid               */
              if ( (comploaddltasu[0] >  comploaddltasu[1]) || /* Compare on imbalance */
                  ((comploaddltasu[0] == comploaddltasu[1]) &&
                   (savetab[0].commload > grafptr->commload)))
                break;
            }
          }

          kgraphStoreUpdt (grafptr, &savetab[0]); /* Restore its result */
        } while (0);
      }
      if (o2 < o)                                 /* o = min(o,o2): if one parts, then part   */
        o = o2;                                   /* Else if one stops, then stop, else error */

      kgraphStoreExit (&savetab[0]);              /* Free both save areas */
      kgraphStoreExit (&savetab[1]);
      break;
#ifdef SCOTCH_DEBUG_KGRAPH1
    case STRATNODEMETHOD :
#else /* SCOTCH_DEBUG_KGRAPH1 */
    default :
#endif /* SCOTCH_DEBUG_KGRAPH1 */
      return (strat->tabl->methtab[strat->data.method.meth].func (grafptr, (void *) &strat->data.method.data));
#ifdef SCOTCH_DEBUG_KGRAPH1
    default :
      errorPrint ("kgraphMapSt: invalid parameter (2)");
      return (1);
#endif /* SCOTCH_DEBUG_KGRAPH1 */
  }
  return (o);
}
