/* Copyright 2004,2007 ENSEIRB, 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       : hmesh.h                                 **/
/**                                                        **/
/**   AUTHOR     : Francois PELLEGRINI                     **/
/**                                                        **/
/**   FUNCTION   : This module contains the data           **/
/**                declarations for the halo mesh          **/
/**                structure.                              **/
/**                                                        **/
/**   DATES      : # Version 4.0  : from : 31 dec 2001     **/
/**                                 to     29 apr 2004     **/
/**                                                        **/
/************************************************************/

/*
**  The type and structure definitions.
*/

/*+ Halo mesh structure. Only node vertices
    can be halo vertices, not element vertices.
    Halo node vertices are numbered with the
    highest available node numbers.
    Since un-haloing of a mesh should be costless,
    and since the vertex array must be continuous,
    when a halo mesh indeed bears halo nodes, it is
    preferrable that elements be numbered first, then
    non-halo node vertices, then halo vertices, so
    that the removal of the halo does not create
    holes in the vertex array. Else, the indices of
    the halo nodes must be reassigned to empty elements,
    which results in a larger structure until it is
    coarsened or induced. If no halo is present, the
    order of nodes and elements is not relevant.
    As for the halo graph structure, in the
    adjacency list of elements, halo node neighbors
    must all be put after non-halo node neighbors,
    so that the edge sub-array comprised between
    verttab[i] and vnhdtab[i] refer only to non-halo
    node neighbors, such that edgetab can be re-used
    by the un-halo-ed mesh.
    Since Hmesh halo meshes are used only for node
    ordering, the velotab and vnumtab arrays that are
    created by hmesh*() routines can be restricted to
    their node part. It must be guaranteed that this
    does not create problems at freeing time, for
    instance by grouping these arrays with verttab.      +*/

typedef struct Hmesh_ {
  Mesh                      m;                    /*+ Source mesh                                                              +*/
  Gnum * restrict           vehdtax;              /*+ End vertex array for elements [based] (non-halo nodes look at m.vendtax) +*/
  Gnum                      veihnbr;              /*+ Number of halo isolated element vertices, which have halo nodes only     +*/
  Gnum                      vnohnbr;              /*+ Number of non-halo node vertices                                         +*/
  Gnum                      vnohnnd;              /*+ Based number of first halo node vertex in mesh graph (m.vnodnnd if none) +*/
  Gnum                      vnhlsum;              /*+ Sum of non-halo node vertex weights                                      +*/
  Gnum                      enohnbr;              /*+ Number of non-halo edges                                                 +*/
  Gnum                      levlnum;              /*+ Nested dissection level                                                  +*/
} Hmesh;

/*
**  The function prototypes.
*/

#ifndef HMESH
#define static
#endif

void                        hmeshExit           (Hmesh * const);
Gnum                        hmeshBase           (Hmesh * const, const Gnum);
#ifdef HGRAPH_H
int                         hmeshHgraph         (const Hmesh * restrict const, Hgraph * restrict const);
#endif /* HGRAPH_H */
int                         hmeshInducePart     (const Hmesh * const, const GraphPart * const, const GraphPart, const Gnum, const Gnum, const Gnum, Hmesh * const);
int                         hmeshMesh           (const Hmesh * restrict const, Mesh * restrict const);
int                         hmeshCheck          (const Hmesh *);

#undef static