/* Copyright 2007-2010,2012,2018,2019 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,
** that may mean that it is complicated to manipulate, and that also
** therefore means that it is reserved for developers and experienced
** professionals having in-depth computer knowledge. Users are therefore
** encouraged to load and test the software's suitability as regards
** their requirements in conditions enabling the security of their
** systems and/or data to be ensured and, more generally, to use and
** operate it in the same conditions as regards security.
**
** The fact that you are presently reading this means that you have had
** knowledge of the CeCILL-C license and that you accept its terms.
*/
/************************************************************/
/**                                                        **/
/**   NAME       : parmetis_dgraph_order.c                 **/
/**                                                        **/
/**   AUTHOR     : Francois PELLEGRINI                     **/
/**                                                        **/
/**   FUNCTION   : This module is the compatibility        **/
/**                library for the ParMeTiS ordering       **/
/**                routines.                               **/
/**                                                        **/
/**   DATES      : # Version 5.0  : from : 17 oct 2007     **/
/**                                 to   : 07 dec 2007     **/
/**                # Version 5.1  : from : 18 mar 2009     **/
/**                                 to   : 30 jun 2010     **/
/**                # Version 6.0  : from : 13 sep 2012     **/
/**                                 to   : 18 may 2019     **/
/**                                                        **/
/************************************************************/

/*
**  The defines and includes.
*/

#define LIBRARY

#include "module.h"
#include "common.h"
#include "ptscotch.h"
#include "parmetis.h"                             /* Our "parmetis.h" file */

/************************************/
/*                                  */
/* These routines are the C API for */
/* the ParMeTiS graph ordering      */
/* routine.                         */
/*                                  */
/************************************/

static
void
_SCOTCH_ParMETIS_V3_NodeNDTree (
SCOTCH_Num * const          sizeglbtnd,
SCOTCH_Num * const          sizeglbtab,
SCOTCH_Num * const          sepaglbtab,
const SCOTCH_Num            levlmax,
const SCOTCH_Num            levlnum,
const SCOTCH_Num            cblknum,
SCOTCH_Num                  cblkidx)
{
  SCOTCH_Num          sizeval;

  sizeval = sizeglbtab[cblknum];                  /* Assume node is terminal or has no nested dissection sons */
  if (levlnum < levlmax) {
    if ((sepaglbtab[3 * cblknum]     >= 0) &&     /* If node has at least two sons, assume is is a nested dissection node */
        (sepaglbtab[3 * cblknum + 1] >= 0)) {
      _SCOTCH_ParMETIS_V3_NodeNDTree (sizeglbtnd, sizeglbtab, sepaglbtab, levlmax, levlnum + 1, sepaglbtab[3 * cblknum],     (cblkidx << 1) + 1);
      _SCOTCH_ParMETIS_V3_NodeNDTree (sizeglbtnd, sizeglbtab, sepaglbtab, levlmax, levlnum + 1, sepaglbtab[3 * cblknum + 1], (cblkidx << 1));
      sizeval = (sepaglbtab[3 * cblknum + 2] < 0) ? 0 : sizeglbtab[sepaglbtab[3 * cblknum + 2]]; /* Get size of separator, if any */
    }
  }

  sizeglbtnd[- cblkidx] = sizeval;                /* Set size of current column block */
}

/*
**
*/

int
SCOTCH_ParMETIS_V3_NodeND (
const SCOTCH_Num * const    vtxdist,
SCOTCH_Num * const          xadj,
SCOTCH_Num * const          adjncy,
const SCOTCH_Num * const    numflag,
const SCOTCH_Num * const    options,              /* Not used */
SCOTCH_Num * const          order,
SCOTCH_Num * const          sizes,                /* Of size twice the number of processors ; not used */
MPI_Comm *                  commptr)
{
  MPI_Comm            proccomm;
  int                 procglbnbr;
  int                 proclocnum;
  SCOTCH_Num          baseval;
  SCOTCH_Dgraph       grafdat;                    /* Scotch distributed graph object to interface with libScotch    */
  SCOTCH_Dordering    ordedat;                    /* Scotch distributed ordering object to interface with libScotch */
  SCOTCH_Strat        stradat;
  SCOTCH_Num          vertlocnbr;
  SCOTCH_Num          edgelocnbr;
  int                 o;

  o = METIS_ERROR;                                /* Assume something will go wrong */

  proccomm = *commptr;
  if (SCOTCH_dgraphInit (&grafdat, proccomm) != 0)
    return (o);

  MPI_Comm_size (proccomm, &procglbnbr);
  MPI_Comm_rank (proccomm, &proclocnum);
  baseval    = *numflag;
  vertlocnbr = vtxdist[proclocnum + 1] - vtxdist[proclocnum];
  edgelocnbr = xadj[vertlocnbr] - baseval;

  if (sizes != NULL)
    memSet (sizes, ~0, (2 * procglbnbr - 1) * sizeof (SCOTCH_Num)); /* Array not used if procglbnbr is not a power of 2 or if error */

  if (SCOTCH_dgraphBuild (&grafdat, baseval,
                          vertlocnbr, vertlocnbr, xadj, xadj + 1, NULL, NULL,
                          edgelocnbr, edgelocnbr, adjncy, NULL, NULL) == 0) {
    SCOTCH_stratInit (&stradat);
#ifdef SCOTCH_DEBUG_ALL
    if (SCOTCH_dgraphCheck (&grafdat) == 0)       /* TRICK: next instruction called only if graph is consistent */
#endif /* SCOTCH_DEBUG_ALL */
    {
      if (SCOTCH_dgraphOrderInit (&grafdat, &ordedat) == 0) {
        SCOTCH_Num          levlmax;
        SCOTCH_Num          bitsnbr;
        SCOTCH_Num          proctmp;

        SCOTCH_dgraphOrderCompute (&grafdat, &ordedat, &stradat);
        SCOTCH_dgraphOrderPerm    (&grafdat, &ordedat, order);

        for (levlmax = -1, bitsnbr = 0, proctmp = procglbnbr; /* Count number of bits set to 1 in procglbnbr */
             proctmp != 0; levlmax ++, proctmp >>= 1)
          bitsnbr += proctmp & 1;

        if (bitsnbr == 1) {
          SCOTCH_Num          cblkglbnbr;

          if ((cblkglbnbr = SCOTCH_dgraphOrderCblkDist (&grafdat, &ordedat)) >= 0) {
            SCOTCH_Num *        treeglbtab;
            SCOTCH_Num *        sizeglbtab;
            SCOTCH_Num *        sepaglbtab;

            if (memAllocGroup ((void **) (void *)
                               &treeglbtab, (size_t) (cblkglbnbr * sizeof (SCOTCH_Num)),
                               &sizeglbtab, (size_t) (cblkglbnbr * sizeof (SCOTCH_Num)),
                               &sepaglbtab, (size_t) (cblkglbnbr * sizeof (SCOTCH_Num) * 3), NULL) != NULL) {
              if (SCOTCH_dgraphOrderTreeDist (&grafdat, &ordedat, treeglbtab, sizeglbtab) == 0) {
                SCOTCH_Num          rootnum;
                SCOTCH_Num          cblknum;

                memSet (sepaglbtab, ~0, cblkglbnbr * sizeof (SCOTCH_Num) * 3);
               
                for (rootnum = -1, cblknum = 0; cblknum < cblkglbnbr; cblknum ++) {
                  SCOTCH_Num          fathnum;

                  fathnum = treeglbtab[cblknum] - baseval; /* Use un-based indices  */
                  if (fathnum < 0) {              /* If father index indicates root */
                    if (rootnum != -1) {          /* If another root already found  */
                      rootnum = -1;               /* Indicate an error              */
                      break;
                    }
                    rootnum = cblknum;            /* Record index of root node */
                  }
                  else {
                    SCOTCH_Num          i;

                    for (i = 0; i < 3; i ++) {
                      SCOTCH_Num          j;

                      j = 3 * fathnum + i;        /* Slot number of prospective son  */
                      if (sepaglbtab[j] < 0) {    /* If potentially empty slot found */
                        if (sepaglbtab[j] == -1)  /* If we don't have too many sons  */
                          sepaglbtab[j] = cblknum; /* Add link to son in slot        */
                        break;
                      }
                    }
                    if (i == 3) {                 /* If no empty slot found             */
                      sepaglbtab[3 * fathnum] = -2; /* Indicate there are too many sons */
                      break;
                    }
                  }
                }

                if ((rootnum >= 0) && (sizes != NULL)) { /* If no error above, go on processing separator tree         */
                  memSet (sizes, 0, (2 * procglbnbr - 1) * sizeof (SCOTCH_Num)); /* Set array of sizes to 0 by default */
                  _SCOTCH_ParMETIS_V3_NodeNDTree (sizes + (2 * procglbnbr - 1), sizeglbtab, sepaglbtab, levlmax, 0, rootnum, 1);
                  o = METIS_OK;
                }
              }

              memFree (treeglbtab);               /* Free group leader */
            }
          }
        }

        SCOTCH_dgraphOrderExit (&grafdat, &ordedat);
      }
    }
    SCOTCH_stratExit (&stradat);
  }
  SCOTCH_dgraphExit (&grafdat);

  return (o);
}

/**********************/
/*                    */
/* ParMeTiS v3 stubs. */
/*                    */
/**********************/

#if (SCOTCH_PARMETIS_VERSION == 3)
#ifndef SCOTCH_METIS_PREFIX                       /* With "SCOTCH_" prefix, names already defined */

int
METISNAMEU (ParMETIS_V3_NodeND) (
const SCOTCH_Num * const    vtxdist,
SCOTCH_Num * const          xadj,
SCOTCH_Num * const          adjncy,
const SCOTCH_Num * const    numflag,
const SCOTCH_Num * const    options,              /* Not used */
SCOTCH_Num * const          order,
SCOTCH_Num * const          sizes,                /* Of size twice the number of processors; not used */
MPI_Comm *                  commptr)
{
  return (SCOTCH_ParMETIS_V3_NodeND (vtxdist, xadj, adjncy, numflag, options, order, sizes, commptr));
}

#endif /* SCOTCH_METIS_PREFIX */
#endif /* (SCOTCH_PARMETIS_VERSION == 3) */
