node_distinct_coloring.c

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/*************************************************************************
 * Copyright (c) 2011 AT&T Intellectual Property 
 * All rights reserved. This program and the accompanying materials
 * are made available under the terms of the Eclipse Public License v1.0
 * which accompanies this distribution, and is available at
 * https://www.eclipse.org/legal/epl-v10.html
 *
 * Contributors: Details at https://graphviz.org
 *************************************************************************/
 
#include "config.h"
 
#include <sparse/general.h>
#include <sparse/SparseMatrix.h>
#include <sparse/QuadTree.h>
#include <edgepaint/node_distinct_coloring.h>
#include <edgepaint/lab.h>
#include <edgepaint/furtherest_point.h>
#include <math.h>
#include <sparse/color_palette.h>
#include <stdbool.h>
#include <string.h>
#include <util/alloc.h>
#include <util/debug.h>
#include <util/gv_math.h>
#include <util/random.h>
 
static void node_distinct_coloring_internal2(int scheme, QuadTree qt,
                                             bool weightedQ, SparseMatrix A,
                                             int cdim, double accuracy,
                                             int seed, double *colors,
                                             double *color_diff0,
                                             double *color_diff_sum0) {
  /* here we assume the graph is connected. And that the matrix is symmetric */
  double dist_max;
  double *cc;
  int iter = 0;
  static const int iter_max = 100;
  double red[3];
  double black[] = {0, 0, 0};
 
  assert(accuracy > 0);
  const int max_level = d2i(fmin(30, fmax(1, -log(accuracy) / log(2.))));
 
  {
    color_rgb rgb = { .r = 255*0.5, .g = 0, .b = 0 };
    color_lab lab = RGB2LAB(rgb);
    red[0] = lab.l; red[1] = lab.a; red[2] = lab.b;
  }
 
  const int n = A->m;
  if (n == 1){
    if (scheme == COLOR_LAB){
      assert(qt);
      QuadTree_get_nearest(qt, black, colors, &(int){0}, &(double){0});
      LAB2RGB_real_01(colors);
      *color_diff0 = 1000; *color_diff_sum0 = 1000;
    } else {
      for (int i = 0; i < cdim; i++) colors[i] = 0;
      *color_diff0 = sqrt(cdim); *color_diff_sum0 = sqrt(cdim); 
    }
    return;
  } else if (n == 2){
    if (scheme == COLOR_LAB){
      assert(qt);
      QuadTree_get_nearest(qt, black, colors, &(int){0}, &(double){0});
      LAB2RGB_real_01(colors);
 
      QuadTree_get_nearest(qt, red, colors+cdim, &(int){0}, &(double){0});
      LAB2RGB_real_01(colors+cdim);
      *color_diff0 = 1000; *color_diff_sum0 = 1000;
 
    } else {
      for (int i = 0; i < cdim; i++) colors[i] = 0;
      for (int i = 0; i < cdim; i++) colors[cdim+i] = 0;
      colors[cdim] = 0.5;
      *color_diff0 = sqrt(cdim); *color_diff_sum0 = sqrt(cdim); 
    }
     return;
  }
  assert(n == A->m);
  const int *ia = A->ia;
  const int *ja = A->ja;
  const double *const a = A->type == MATRIX_TYPE_REAL ? A->a : NULL;
 
  /* cube [0, cspace_size]^3: only uised if not LAB */
  const double cspace_size = 0.7;
  double center[] = {cspace_size * 0.5, cspace_size * 0.5, cspace_size * 0.5};
  const double width = cspace_size * 0.5;
 
  /* randomly assign colors first */
  srand(seed);
  for (int i = 0; i < n*cdim; i++) colors[i] = cspace_size*drand();
 
  double *x = gv_calloc(cdim * n, sizeof(double));
  double *wgt = weightedQ ? gv_calloc(n, sizeof(double)) : NULL;
 
  double color_diff = 0;
  double color_diff_old = -1;
  double color_diff_sum = 0;
  double color_diff_sum_old = -1;
 
  while (iter++ < iter_max && (color_diff > color_diff_old || (color_diff == color_diff_old && color_diff_sum > color_diff_sum_old))){
    color_diff_old = color_diff;
    color_diff_sum_old = color_diff_sum;
    for (int i = 0; i < n; i++){
      int k = 0;
      for (int j = ia[i]; j < ia[i+1]; j++){
        if (ja[j] == i) continue;
        memcpy(&(x[k*cdim]), &(colors[ja[j]*cdim]), sizeof(double)*cdim);
        if (wgt && a) wgt[k] = a[j];
        k++;
      }
      cc = &(colors[i*cdim]);
      if (scheme == COLOR_LAB){
        furtherest_point_in_list(k, cdim, wgt, x, qt, max_level, &dist_max, &cc);
      } else if (scheme == COLOR_RGB || scheme == COLOR_GRAY){
        furtherest_point(k, cdim, wgt, x, center, width, max_level, &dist_max, &cc);
      } else {
        assert(0);
      }
      if (i == 0){
        color_diff = dist_max;
        color_diff_sum = dist_max;
      } else {
        color_diff = MIN(dist_max, color_diff);
        color_diff_sum += dist_max;
      }
    }
 
    GV_DEBUG("iter ---- %d ---, color_diff = %f, color_diff_sum = %f", iter,
             color_diff, color_diff_sum);
  }
 
  if (scheme == COLOR_LAB){
    /* convert from LAB to RGB */
    for (int i = 0; i < n; i++){
      const color_lab lab = color_lab_init(colors[i * cdim],
                                           colors[i * cdim + 1],
                                           colors[i * cdim + 2]);
      const color_rgb rgb = LAB2RGB(lab);
      colors[i*cdim] = (rgb.r)/255;
      colors[i*cdim+1] = (rgb.g)/255;
      colors[i*cdim+2] = (rgb.b)/255;
    }
  }
  *color_diff0 = color_diff;
  *color_diff_sum0 = color_diff_sum;
  free(x);
  free(wgt);
}
 
static void node_distinct_coloring_internal(int scheme, QuadTree qt,
                                            bool weightedQ, SparseMatrix A,
                                            int cdim, double accuracy,
                                            int seed, double *colors) {
  int i;
  double color_diff;
  double color_diff_sum;
  if (seed < 0) {
    /* do multiple iterations and pick the best */
    int iter, seed_max = -1;
    double color_diff_max = -1;
    srand(123);
    iter = -seed;
    for (i = 0; i < iter; i++){
      seed = gv_random(100000);
      node_distinct_coloring_internal2(scheme, qt, weightedQ, A, cdim, accuracy, seed, colors, &color_diff, &color_diff_sum);
      if (color_diff_max < color_diff){
        seed_max = seed; color_diff_max = color_diff;
      }
    }
    seed = seed_max;
  } 
  node_distinct_coloring_internal2(scheme, qt, weightedQ, A, cdim, accuracy, seed, colors, &color_diff, &color_diff_sum);
 
}
 
int node_distinct_coloring(const char *color_scheme, int *lightness,
                           bool weightedQ, SparseMatrix A0, double accuracy,
                           int seed, int *cdim0, double **colors) {
  SparseMatrix B, A = A0;
  int ncomps, *comps = NULL;
  int nn, n;
  int i, j, jj;
  QuadTree qt = NULL;
  int cdim;
  int scheme = COLOR_LAB;
  int maxcolors = 10000, max_qtree_level = 10, r, g, b;
  const char *color_list = color_palettes_get(color_scheme);
  if (color_list) color_scheme = color_list;
 
  cdim = *cdim0 = 3;
  if (strcmp(color_scheme, "lab") == 0){
    GV_DEBUG("lab");
    scheme =  COLOR_LAB;
    qt = lab_gamut_quadtree(lightness, max_qtree_level);
    if (!qt){
      fprintf(stderr, "out of memory\n");
      return -1;
    }
  } else if (strcmp(color_scheme, "rgb") == 0){
    GV_DEBUG("rgb");
    scheme = COLOR_RGB;
  } else if (strcmp(color_scheme, "gray") == 0){
    scheme = COLOR_GRAY;
    cdim = *cdim0 = 1;
  } else if (sscanf(color_scheme,"#%02X%02X%02X", &r, &g, &b) == 3 ){
    scheme = COLOR_LAB;
    double *color_points = color_blend_rgb2lab(color_scheme, maxcolors);
    assert(color_points);
    qt = QuadTree_new_from_point_list(cdim, maxcolors, max_qtree_level,
                                      color_points);
    free(color_points);
    assert(qt);
  } else {
    return ERROR_BAD_COLOR_SCHEME;
  }
 
 
  if (accuracy <= 0) accuracy = 0.0001;
 
  n = A->m;
  if (n != A->n) {
    QuadTree_delete(qt);
    return -1;
  }
 
  *colors = gv_calloc(cdim * n, sizeof(double));
  double *ctmp = gv_calloc(cdim * n, sizeof(double));
 
  B = SparseMatrix_symmetrize(A, false);
  A = B;
 
  int *comps_ptr = SparseMatrix_weakly_connected_components(A, &ncomps, &comps);
  
  for (i = 0; i < ncomps; i++){
    nn = comps_ptr[i+1] - comps_ptr[i];
    B = SparseMatrix_get_submatrix(A, nn, nn, &(comps[comps_ptr[i]]), &(comps[comps_ptr[i]]));
    node_distinct_coloring_internal(scheme, qt, weightedQ, B, cdim, accuracy, seed, ctmp);
 
    for (j = comps_ptr[i]; j < comps_ptr[i+1]; j++){
      jj = j - comps_ptr[i];
      memcpy(&((*colors)[comps[j]*cdim]), &(ctmp[jj*cdim]), cdim*sizeof(double));
    }
    SparseMatrix_delete(B);
  }
  free(comps_ptr);
  free(ctmp);
  QuadTree_delete(qt);
 
  if (A != A0) SparseMatrix_delete(A);
  free(comps);
  return 0;
}