/*
 * Copyright(C) 1999-2020 National Technology & Engineering Solutions
 * of Sandia, LLC (NTESS).  Under the terms of Contract DE-NA0003525 with
 * NTESS, the U.S. Government retains certain rights in this software.
 *
 * See packages/seacas/LICENSE for details
 */

#include "smalloc.h" // for sfree, smalloc
#include "structs.h" // for vtx_data
#include <stdio.h>   // for fprintf, printf, FILE, NULL
#include <stdlib.h>

/* Print metrics of partition quality. */

void countup_mesh(struct vtx_data **graph,        /* graph data structure */
                  int               nvtxs,        /* number of vtxs in graph */
                  int *             assignment,   /* set number of each vtx (length nvtxs+1) */
                  int               mesh_dims[3], /* extent of mesh in each dimension */
                  int               print_lev,    /* level of output */
                  FILE *            outfile,      /* output file if not NULL */
                  int               using_ewgts   /* are edge weights being used? */
)
{
  double *hopsize;            /* number of hops for each set */
  double *cutsize;            /* number of cuts for each set */
  int *   setsize;            /* number or weight of vtxs in each set */
  int *   setseen;            /* flags for sets adjacent to a particular set */
  int *   inorder;            /* list of vtxs in each set */
  int *   startptr;           /* indices into inorder array */
  double  ncuts;              /* total number of edges connecting sets */
  double  nhops;              /* total cuts weighted by mesh hops */
  double  ewgt;               /* edge weight */
  int     nsets;              /* number of sets after a level */
  int     vtx;                /* vertex in graph */
  int     set, set2, set3;    /* sets neighboring vtxs are assigned to */
  int     onbdy;              /* counts number of neighboring set for a vtx */
  int     min_size, max_size; /* min and max set sizes */
  int     tot_size;           /* total of all set sizes */
  double  bdyvtxs;            /* sum of onbdy values for a set */
  double  bdyvtx_hops;        /* weights boundary vertices by wires required */
  double  bdyvtx_hops_tot;    /* weights boundary vertices by wires required */
  double  bdyvtx_hops_max;    /* weights boundary vertices by wires required */
  double  bdyvtx_hops_min;    /* weights boundary vertices by wires required */
  int     neighbor_sets;      /* number of neighboring sets for a set */
  int     internal;           /* number of internal vertices in a set */
  int     min_internal;       /* smallest number of internal vertices */
  int     max_internal;       /* largest number of internal vertices */
  int     total_internal;     /* total number of internal nodes */
  double  maxcuts;            /* largest cuts among all processors */
  double  mincuts;            /* smallest cuts among all processors */
  double  maxhops;            /* largest hops among all processors */
  double  minhops;            /* smallest hops among all processors */
  double  maxbdy;             /* largest bdy_vtxs among all processors */
  double  minbdy;             /* smallest bdy_vtxs among all processors */
  int     maxneighbors;       /* largest neighbor_sets among all processors */
  int     minneighbors;       /* smallest neighbor_sets among all processors */
  double  total_bdyvtxs;      /* sum of all onbdy values in whole graph  */
  int     total_neighbors;    /* number of neighboring sets in graph */
  int     neighbor;           /* neighbor of a vertex */
  int     print2file;         /* should I print to a file? */
  int     x1, y1, z1;         /* mesh location of vertex */
  int     x2, y2, z2;         /* mesh location of neighboring vertex */
  int     i, j;               /* loop counters */

  print2file = (outfile != NULL);
  ewgt       = 1;

  nsets   = mesh_dims[0] * mesh_dims[1] * mesh_dims[2];
  cutsize = smalloc(nsets * sizeof(double));
  hopsize = smalloc(nsets * sizeof(double));
  setsize = smalloc(nsets * sizeof(int));

  setseen  = smalloc(nsets * sizeof(int));
  startptr = smalloc((nsets + 1) * sizeof(int));
  inorder  = smalloc(nvtxs * sizeof(int));
  for (j = 0; j < nsets; j++) {
    setsize[j] = 0;
  }
  for (i = 1; i <= nvtxs; i++) {
    ++setsize[assignment[i]];
  }

  /* Modify setsize to become index into vertex list. */
  for (j = 1; j < nsets; j++) {
    setsize[j] += setsize[j - 1];
  }
  for (j = nsets - 1; j > 0; j--) {
    startptr[j] = setsize[j] = setsize[j - 1];
  }
  startptr[0] = setsize[0] = 0;
  startptr[nsets]          = nvtxs;
  for (i = 1; i <= nvtxs; i++) {
    set                   = assignment[i];
    inorder[setsize[set]] = i;
    setsize[set]++;
  }

  for (j = 0; j < nsets; j++) {
    cutsize[j] = 0;
    hopsize[j] = 0;
    setsize[j] = 0;
  }

  for (i = 1; i <= nvtxs; i++) {
    set = assignment[i];
    setsize[set] += graph[i]->vwgt;
    x1 = set % mesh_dims[0];
    y1 = (set / mesh_dims[0]) % mesh_dims[1];
    z1 = set / (mesh_dims[0] * mesh_dims[1]);
    for (j = 1; j < graph[i]->nedges; j++) {
      neighbor = graph[i]->edges[j];
      set2     = assignment[neighbor];
      x2       = set2 % mesh_dims[0];
      y2       = (set2 / mesh_dims[0]) % mesh_dims[1];
      z2       = set2 / (mesh_dims[0] * mesh_dims[1]);
      if (set != set2) {
        if (using_ewgts) {
          ewgt = graph[i]->ewgts[j];
        }
        cutsize[set] += ewgt;
        hopsize[set] += ewgt * (abs(x1 - x2) + abs(y1 - y2) + abs(z1 - z2));
      }
    }
  }

  max_size = 0;
  tot_size = 0;
  for (set = 0; set < nsets; set++) {
    tot_size += setsize[set];
    if (setsize[set] > max_size) {
      max_size = setsize[set];
    }
  }
  min_size = max_size;
  for (set = 0; set < nsets; set++) {
    if (setsize[set] < min_size) {
      min_size = setsize[set];
    }
  }

  ncuts = nhops = 0;
  total_bdyvtxs = total_neighbors = 0;
  bdyvtx_hops_tot = bdyvtx_hops_max = bdyvtx_hops_min = 0;
  maxcuts = mincuts = 0;
  maxhops = minhops = 0;
  maxbdy = minbdy = 0;
  maxneighbors = minneighbors = 0;
  total_internal              = 0;
  min_internal                = max_size;
  max_internal                = 0;
  printf("\nAfter full partitioning  (nsets = %d)\n", nsets);
  if (print2file) {
    fprintf(outfile, "\nAfter full partitioning (nsets = %d)\n", nsets);
  }
  if (print_lev < 0) {
    printf("    set    size      cuts       hops   bndy_vtxs    adj_sets\n");
    if (print2file) {
      fprintf(outfile, "    set    size      cuts       hops   bndy_vtxs    adj_sets\n");
    }
  }
  for (set = 0; set < nsets; set++) {
    /* Compute number of set neighbors, and number of vtxs on boundary. */
    internal = setsize[set];
    for (i = 0; i < nsets; i++) {
      setseen[i] = 0;
    }
    x1 = set % mesh_dims[0];
    y1 = (set / mesh_dims[0]) % mesh_dims[1];
    z1 = set / (mesh_dims[0] * mesh_dims[1]);

    set2        = set;
    bdyvtxs     = 0;
    bdyvtx_hops = 0;
    for (i = startptr[set2]; i < startptr[set2 + 1]; i++) {
      onbdy = 0;
      vtx   = inorder[i];
      for (j = 1; j < graph[vtx]->nedges; j++) {
        neighbor = graph[vtx]->edges[j];
        set3     = assignment[neighbor];
        if (set3 != set) { /* Is vtx on boundary? */
          /* Has this neighboring set been seen already? */
          if (setseen[set3] >= 0) {
            x2 = set3 % mesh_dims[0];
            y2 = (set3 / mesh_dims[0]) % mesh_dims[1];
            z2 = set3 / (mesh_dims[0] * mesh_dims[1]);
            bdyvtx_hops += abs(x1 - x2) + abs(y1 - y2) + abs(z1 - z2);
            ++onbdy;
            setseen[set3] = -setseen[set3] - 1;
          }
        }
      }
      /* Now reset all the setseen values to be positive. */
      if (onbdy != 0) {
        for (j = 1; j < graph[vtx]->nedges; j++) {
          neighbor = graph[vtx]->edges[j];
          set3     = assignment[neighbor];
          if (setseen[set3] < 0) {
            setseen[set3] = -setseen[set3];
          }
        }
        internal -= graph[vtx]->vwgt;
      }
      bdyvtxs += onbdy;
    }
    total_internal += internal;
    bdyvtx_hops_tot += bdyvtx_hops;
    if (bdyvtx_hops > bdyvtx_hops_max) {
      bdyvtx_hops_max = bdyvtx_hops;
    }
    if (set == 0 || bdyvtx_hops < bdyvtx_hops_min) {
      bdyvtx_hops_min = bdyvtx_hops;
    }
    if (internal > max_internal) {
      max_internal = internal;
    }
    if (set == 0 || internal < min_internal) {
      min_internal = internal;
    }

    /* Now count up the number of neighboring sets. */
    neighbor_sets = 0;
    for (i = 0; i < nsets; i++) {
      if (setseen[i] != 0) {
        ++neighbor_sets;
      }
    }

    if (print_lev < 0) {
      printf(" %5d    %5d    %6g     %6g   %6g      %6d\n", set, setsize[set], cutsize[set],
             hopsize[set], bdyvtxs, neighbor_sets);
      if (print2file) {
        fprintf(outfile, " %5d    %5d    %6g     %6g   %6g      %6d\n", set, setsize[set],
                cutsize[set], hopsize[set], bdyvtxs, neighbor_sets);
      }
    }
    if (cutsize[set] > maxcuts) {
      maxcuts = cutsize[set];
    }
    if (set == 0 || cutsize[set] < mincuts) {
      mincuts = cutsize[set];
    }
    if (hopsize[set] > maxhops) {
      maxhops = hopsize[set];
    }
    if (set == 0 || hopsize[set] < minhops) {
      minhops = hopsize[set];
    }
    if (bdyvtxs > maxbdy) {
      maxbdy = bdyvtxs;
    }
    if (set == 0 || bdyvtxs < minbdy) {
      minbdy = bdyvtxs;
    }
    if (neighbor_sets > maxneighbors) {
      maxneighbors = neighbor_sets;
    }
    if (set == 0 || neighbor_sets < minneighbors) {
      minneighbors = neighbor_sets;
    }
    ncuts += cutsize[set];
    nhops += hopsize[set];
    total_bdyvtxs += bdyvtxs;
    total_neighbors += neighbor_sets;
  }
  ncuts /= 2;
  nhops /= 2;
  printf("\n");
  printf("                            Total      Max/Set      Min/Set\n");
  printf("                            -----      -------      -------\n");
  printf("Set Size:             %11d  %11d  %11d\n", tot_size, max_size, min_size);
  printf("Edge Cuts:            %11g  %11g  %11g\n", ncuts, maxcuts, mincuts);
  printf("Mesh Hops:            %11g  %11g  %11g\n", nhops, maxhops, minhops);
  printf("Boundary Vertices:    %11g  %11g  %11g\n", total_bdyvtxs, maxbdy, minbdy);
  printf("Boundary Vertex Hops: %11g  %11g  %11g\n", bdyvtx_hops_tot, bdyvtx_hops_max,
         bdyvtx_hops_min);
  printf("Adjacent Sets:        %11d  %11d  %11d\n", total_neighbors, maxneighbors, minneighbors);
  printf("Internal Vertices:    %11d  %11d  %11d\n\n", total_internal, max_internal, min_internal);

  if (print2file) {

    fprintf(outfile, "\n");
    fprintf(outfile, "                            Total      Max/Set      Min/Set\n");
    fprintf(outfile, "                            -----      -------      -------\n");
    fprintf(outfile, "Set Size:             %11d  %11d  %11d\n", tot_size, max_size, min_size);
    fprintf(outfile, "Edge Cuts:            %11g  %11g  %11g\n", ncuts, maxcuts, mincuts);
    fprintf(outfile, "Hypercube Hops:       %11g  %11g  %11g\n", nhops, maxhops, minhops);
    fprintf(outfile, "Boundary Vertices:    %11g  %11g  %11g\n", total_bdyvtxs, maxbdy, minbdy);
    fprintf(outfile, "Boundary Vertex Hops: %11g  %11g  %11g\n", bdyvtx_hops_tot, bdyvtx_hops_max,
            bdyvtx_hops_min);
    fprintf(outfile, "Adjacent Sets:        %11d  %11d  %11d\n", total_neighbors, maxneighbors,
            minneighbors);
    fprintf(outfile, "Internal Vertices:    %11d  %11d  %11d\n\n", total_internal, max_internal,
            min_internal);
  }

  sfree(cutsize);
  sfree(hopsize);
  sfree(setsize);
  sfree(setseen);
  sfree(startptr);
  sfree(inorder);
}