Originally committed as revision 9196 to svn://svn.ffmpeg.org/ffmpeg/trunk
Vitor Sessak authored on 2007/06/04 16:28:3492 | 93 |
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+/* |
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+ * Copyright (C) 2007 Vitor <vitor1001@gmail.com> |
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+ * |
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+ * This file is part of FFmpeg. |
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+ * |
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+ * FFmpeg is free software; you can redistribute it and/or |
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+ * modify it under the terms of the GNU Lesser General Public |
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+ * License as published by the Free Software Foundation; either |
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+ * version 2.1 of the License, or (at your option) any later version. |
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+ * |
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+ * FFmpeg is distributed in the hope that it will be useful, |
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+ * but WITHOUT ANY WARRANTY; without even the implied warranty of |
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+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
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+ * Lesser General Public License for more details. |
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+ * |
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+ * You should have received a copy of the GNU Lesser General Public |
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+ * License along with FFmpeg; if not, write to the Free Software |
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+ * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA |
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+ */ |
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+ |
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+/** |
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+ * @file cbook_gen.c |
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+ * Codebook Generator using the ELBG algorithm |
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+ */ |
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+ |
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+#include <string.h> |
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+ |
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+#include "elbg.h" |
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+#include "avcodec.h" |
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+#include "random.h" |
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+ |
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+#define DELTA_ERR_MAX 0.1 ///< Precision of the ELBG algorithm (as percentual error) |
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+ |
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+/** |
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+ * In the ELBG jargon, a cell is the set of points that are closest to a |
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+ * codebook entry. Not to be confused with a RoQ Video cell. */ |
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+typedef struct cell_s { |
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+ int index; |
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+ struct cell_s *next; |
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+} cell; |
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+ |
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+/** |
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+ * ELBG internal data |
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+ */ |
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+typedef struct{ |
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+ int error; |
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+ int dim; |
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+ int numCB; |
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+ int *codebook; |
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+ cell **cells; |
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+ int *utility; |
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+ int *utility_inc; |
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+ int *nearest_cb; |
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+ int *points; |
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+ AVRandomState *rand_state; |
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+} elbg_data; |
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+ |
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+static inline int distance_limited(int *a, int *b, int dim, int limit) |
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+{ |
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+ int i, dist=0; |
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+ for (i=0; i<dim; i++) { |
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+ dist += (a[i] - b[i])*(a[i] - b[i]); |
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+ if (dist > limit) |
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+ return INT_MAX; |
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+ } |
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+ |
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+ return dist; |
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+} |
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+ |
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+static inline void vect_division(int *res, int *vect, int div, int dim) |
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+{ |
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+ int i; |
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+ if (div > 1) |
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+ for (i=0; i<dim; i++) |
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+ res[i] = ROUNDED_DIV(vect[i],div); |
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+ else if (res != vect) |
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+ memcpy(res, vect, dim*sizeof(int)); |
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+ |
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+} |
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+ |
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+static int eval_error_cell(elbg_data *elbg, int *centroid, cell *cells) |
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+{ |
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+ int error=0; |
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+ for (; cells; cells=cells->next) |
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+ error += distance_limited(centroid, elbg->points + cells->index*elbg->dim, elbg->dim, INT_MAX); |
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+ |
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+ return error; |
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+} |
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+ |
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+static int get_closest_codebook(elbg_data *elbg, int index) |
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+{ |
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+ int i, pick=0, diff, diff_min = INT_MAX; |
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+ for (i=0; i<elbg->numCB; i++) |
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+ if (i != index) { |
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+ diff = distance_limited(elbg->codebook + i*elbg->dim, elbg->codebook + index*elbg->dim, elbg->dim, diff_min); |
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+ if (diff < diff_min) { |
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+ pick = i; |
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+ diff_min = diff; |
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+ } |
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+ } |
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+ return pick; |
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+} |
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+ |
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+static int get_high_utility_cell(elbg_data *elbg) |
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+{ |
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+ int i=0; |
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+ /* Using linear search, do binary if it ever turns to be speed critical */ |
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+ int r = av_random(elbg->rand_state)%elbg->utility_inc[elbg->numCB-1]; |
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+ while (elbg->utility_inc[i] < r) |
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+ i++; |
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+ return i; |
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+} |
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+ |
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+/** |
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+ * Implementation of the simple LBG algorithm for just two codebooks |
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+ */ |
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+static int simple_lbg(int dim, |
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+ int centroid[3][dim], |
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+ int newutility[3], |
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+ int *points, |
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+ cell *cells) |
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+{ |
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+ int i, idx; |
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+ int numpoints[2] = {0,0}; |
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+ int newcentroid[2][dim]; |
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+ cell *tempcell; |
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+ |
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+ memset(newcentroid, 0, sizeof(newcentroid)); |
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+ |
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+ newutility[0] = |
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+ newutility[1] = 0; |
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+ |
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+ for (tempcell = cells; tempcell; tempcell=tempcell->next) { |
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+ idx = distance_limited(centroid[0], points + tempcell->index*dim, dim, INT_MAX)>= |
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+ distance_limited(centroid[1], points + tempcell->index*dim, dim, INT_MAX); |
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+ numpoints[idx]++; |
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+ for (i=0; i<dim; i++) |
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+ newcentroid[idx][i] += points[tempcell->index*dim + i]; |
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+ } |
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+ |
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+ vect_division(centroid[0], newcentroid[0], numpoints[0], dim); |
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+ vect_division(centroid[1], newcentroid[1], numpoints[1], dim); |
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+ |
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+ for (tempcell = cells; tempcell; tempcell=tempcell->next) { |
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+ int dist[2] = {distance_limited(centroid[0], points + tempcell->index*dim, dim, INT_MAX), |
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+ distance_limited(centroid[1], points + tempcell->index*dim, dim, INT_MAX)}; |
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+ int idx = dist[0] > dist[1]; |
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+ newutility[idx] += dist[idx]; |
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+ } |
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+ |
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+ return newutility[0] + newutility[1]; |
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+} |
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+ |
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+static void get_new_centroids(elbg_data *elbg, int huc, int *newcentroid_i, |
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+ int *newcentroid_p) |
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+{ |
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+ cell *tempcell; |
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+ int min[elbg->dim]; |
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+ int max[elbg->dim]; |
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+ int i; |
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+ |
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+ for (i=0; i< elbg->dim; i++) { |
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+ min[i]=INT_MAX; |
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+ max[i]=0; |
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+ } |
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+ |
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+ for (tempcell = elbg->cells[huc]; tempcell; tempcell = tempcell->next) |
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+ for(i=0; i<elbg->dim; i++) { |
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+ min[i]=FFMIN(min[i], elbg->points[tempcell->index*elbg->dim + i]); |
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+ max[i]=FFMAX(max[i], elbg->points[tempcell->index*elbg->dim + i]); |
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+ } |
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+ |
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+ for (i=0; i<elbg->dim; i++) { |
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+ newcentroid_i[i] = min[i] + (max[i] - min[i])/3; |
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+ newcentroid_p[i] = min[i] + (2*(max[i] - min[i]))/3; |
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+ } |
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+} |
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+ |
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+/** |
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+ * Add the points in the low utility cell to its closest cell. Split the high |
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+ * utility cell, putting the separed points in the (now empty) low utility |
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+ * cell. |
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+ * |
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+ * @param elbg Internal elbg data |
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+ * @param indexes {luc, huc, cluc} |
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+ * @param newcentroid A vector with the position of the new centroids |
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+ */ |
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+static void shift_codebook(elbg_data *elbg, int *indexes, |
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+ int newcentroid[3][elbg->dim]) |
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+{ |
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+ cell *tempdata; |
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+ cell **pp = &elbg->cells[indexes[2]]; |
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+ |
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+ while(*pp) |
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+ pp= &(*pp)->next; |
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+ |
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+ *pp = elbg->cells[indexes[0]]; |
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+ |
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+ elbg->cells[indexes[0]] = NULL; |
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+ tempdata = elbg->cells[indexes[1]]; |
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+ elbg->cells[indexes[1]] = NULL; |
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+ |
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+ while(tempdata) { |
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+ cell *tempcell2 = tempdata->next; |
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+ int idx = distance_limited(elbg->points + tempdata->index*elbg->dim, |
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+ newcentroid[0], elbg->dim, INT_MAX) > |
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+ distance_limited(elbg->points + tempdata->index*elbg->dim, |
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+ newcentroid[1], elbg->dim, INT_MAX); |
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+ |
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+ tempdata->next = elbg->cells[indexes[idx]]; |
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+ elbg->cells[indexes[idx]] = tempdata; |
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+ tempdata = tempcell2; |
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+ } |
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+} |
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+ |
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+static void evaluate_utility_inc(elbg_data *elbg) |
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+{ |
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+ int i, inc=0; |
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+ |
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+ for (i=0; i < elbg->numCB; i++) { |
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+ if (elbg->numCB*elbg->utility[i] > elbg->error) |
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+ inc += elbg->utility[i]; |
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+ elbg->utility_inc[i] = inc; |
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+ } |
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+} |
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+ |
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+ |
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+static void update_utility_and_n_cb(elbg_data *elbg, int idx, int newutility) |
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+{ |
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+ cell *tempcell; |
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+ |
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+ elbg->utility[idx] = newutility; |
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+ for (tempcell=elbg->cells[idx]; tempcell; tempcell=tempcell->next) |
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+ elbg->nearest_cb[tempcell->index] = idx; |
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+} |
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+ |
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+/** |
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+ * Evaluate if a shift lower the error. If it does, call shift_codebooks |
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+ * and update elbg->error, elbg->utility and elbg->nearest_cb. |
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+ * |
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+ * @param elbg Internal elbg data |
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+ * @param indexes {luc (low utility cell, huc (high utility cell), cluc (closest cell to low utility cell)} |
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+ */ |
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+static void try_shift_candidate(elbg_data *elbg, int idx[3]) |
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+{ |
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+ int j, k, olderror=0, newerror, cont=0; |
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+ int newutility[3]; |
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+ int newcentroid[3][elbg->dim]; |
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+ cell *tempcell; |
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+ |
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+ for (j=0; j<3; j++) |
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+ olderror += elbg->utility[idx[j]]; |
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+ |
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+ memset(newcentroid[2], 0, elbg->dim*sizeof(int)); |
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+ |
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+ for (k=0; k<2; k++) |
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+ for (tempcell=elbg->cells[idx[2*k]]; tempcell; tempcell=tempcell->next) { |
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+ cont++; |
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+ for (j=0; j<elbg->dim; j++) |
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+ newcentroid[2][j] += elbg->points[tempcell->index*elbg->dim + j]; |
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+ } |
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+ |
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+ vect_division(newcentroid[2], newcentroid[2], cont, elbg->dim); |
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+ |
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+ get_new_centroids(elbg, idx[1], newcentroid[0], newcentroid[1]); |
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+ |
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+ newutility[2] = eval_error_cell(elbg, newcentroid[2], elbg->cells[idx[0]]); |
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+ newutility[2] += eval_error_cell(elbg, newcentroid[2], elbg->cells[idx[2]]); |
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+ |
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+ newerror = newutility[2]; |
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+ |
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+ newerror += simple_lbg(elbg->dim, newcentroid, newutility, elbg->points, |
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+ elbg->cells[idx[1]]); |
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+ |
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+ if (olderror > newerror) { |
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+ shift_codebook(elbg, idx, newcentroid); |
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+ |
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+ elbg->error += newerror - olderror; |
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+ |
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+ for (j=0; j<3; j++) |
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+ update_utility_and_n_cb(elbg, idx[j], newutility[j]); |
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+ |
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+ evaluate_utility_inc(elbg); |
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+ } |
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+ } |
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+ |
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+/** |
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+ * Implementation of the ELBG block |
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+ */ |
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+static void do_shiftings(elbg_data *elbg) |
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+{ |
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+ int idx[3]; |
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+ |
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+ evaluate_utility_inc(elbg); |
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+ |
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+ for (idx[0]=0; idx[0] < elbg->numCB; idx[0]++) |
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+ if (elbg->numCB*elbg->utility[idx[0]] < elbg->error) { |
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+ if (elbg->utility_inc[elbg->numCB-1] == 0) |
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+ return; |
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+ |
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+ idx[1] = get_high_utility_cell(elbg); |
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+ idx[2] = get_closest_codebook(elbg, idx[0]); |
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+ |
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+ try_shift_candidate(elbg, idx); |
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+ } |
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+} |
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+ |
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+#define BIG_PRIME 433494437LL |
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+ |
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+void ff_init_elbg(int *points, int dim, int numpoints, int *codebook, |
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+ int numCB, int max_steps, int *closest_cb, |
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+ AVRandomState *rand_state) |
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+{ |
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+ int i, k; |
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+ |
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+ if (numpoints > 24*numCB) { |
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+ /* ELBG is very costly for a big number of points. So if we have a lot |
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+ of them, get a good initial codebook to save on iterations */ |
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+ int *temp_points = av_malloc(dim*(numpoints/8)*sizeof(int)); |
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+ for (i=0; i<numpoints/8; i++) { |
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+ k = (i*BIG_PRIME) % numpoints; |
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+ memcpy(temp_points + i*dim, points + k*dim, dim*sizeof(int)); |
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+ } |
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+ |
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+ ff_init_elbg(temp_points, dim, numpoints/8, codebook, numCB, 2*max_steps, closest_cb, rand_state); |
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+ ff_do_elbg(temp_points, dim, numpoints/8, codebook, numCB, 2*max_steps, closest_cb, rand_state); |
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+ |
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+ av_free(temp_points); |
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+ |
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+ } else // If not, initialize the codebook with random positions |
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+ for (i=0; i < numCB; i++) |
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+ memcpy(codebook + i*dim, points + ((i*BIG_PRIME)%numpoints)*dim, |
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+ dim*sizeof(int)); |
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+ |
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+} |
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+ |
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+void ff_do_elbg(int *points, int dim, int numpoints, int *codebook, |
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+ int numCB, int max_steps, int *closest_cb, |
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+ AVRandomState *rand_state) |
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+{ |
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+ int dist; |
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+ elbg_data elbg_d; |
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+ elbg_data *elbg = &elbg_d; |
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+ int i, j, k, last_error, steps=0; |
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+ int *dist_cb = av_malloc(numpoints*sizeof(int)); |
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+ int *size_part = av_malloc(numCB*sizeof(int)); |
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+ cell *list_buffer = av_malloc(numpoints*sizeof(cell)); |
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+ cell *free_cells; |
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+ |
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+ elbg->error = INT_MAX; |
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+ elbg->dim = dim; |
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+ elbg->numCB = numCB; |
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+ elbg->codebook = codebook; |
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+ elbg->cells = av_malloc(numCB*sizeof(cell *)); |
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+ elbg->utility = av_malloc(numCB*sizeof(int)); |
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+ elbg->nearest_cb = closest_cb; |
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+ elbg->points = points; |
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+ elbg->utility_inc = av_malloc(numCB*sizeof(int)); |
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+ |
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+ elbg->rand_state = rand_state; |
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+ |
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+ do { |
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+ free_cells = list_buffer; |
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+ last_error = elbg->error; |
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+ steps++; |
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+ memset(elbg->utility, 0, numCB*sizeof(int)); |
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+ memset(elbg->cells, 0, numCB*sizeof(cell *)); |
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+ |
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+ elbg->error = 0; |
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+ |
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+ /* This loop evaluate the actual Voronoi partition. It is the most |
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+ costly part of the algorithm. */ |
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+ for (i=0; i < numpoints; i++) { |
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+ dist_cb[i] = INT_MAX; |
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+ for (k=0; k < elbg->numCB; k++) { |
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+ dist = distance_limited(elbg->points + i*elbg->dim, elbg->codebook + k*elbg->dim, dim, dist_cb[i]); |
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+ if (dist < dist_cb[i]) { |
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+ dist_cb[i] = dist; |
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+ elbg->nearest_cb[i] = k; |
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+ } |
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+ } |
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+ elbg->error += dist_cb[i]; |
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+ elbg->utility[elbg->nearest_cb[i]] += dist_cb[i]; |
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+ free_cells->index = i; |
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+ free_cells->next = elbg->cells[elbg->nearest_cb[i]]; |
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+ elbg->cells[elbg->nearest_cb[i]] = free_cells; |
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+ free_cells++; |
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+ } |
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+ |
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+ do_shiftings(elbg); |
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+ |
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+ memset(size_part, 0, numCB*sizeof(int)); |
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+ |
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+ memset(elbg->codebook, 0, elbg->numCB*dim*sizeof(int)); |
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+ |
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+ for (i=0; i < numpoints; i++) { |
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+ size_part[elbg->nearest_cb[i]]++; |
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+ for (j=0; j < elbg->dim; j++) |
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+ elbg->codebook[elbg->nearest_cb[i]*elbg->dim + j] += |
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+ elbg->points[i*elbg->dim + j]; |
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400 |
+ } |
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+ |
|
402 |
+ for (i=0; i < elbg->numCB; i++) |
|
403 |
+ vect_division(elbg->codebook + i*elbg->dim, |
|
404 |
+ elbg->codebook + i*elbg->dim, size_part[i], elbg->dim); |
|
405 |
+ |
|
406 |
+ } while(((last_error - elbg->error) > DELTA_ERR_MAX*elbg->error) && |
|
407 |
+ (steps < max_steps)); |
|
408 |
+ |
|
409 |
+ av_free(dist_cb); |
|
410 |
+ av_free(size_part); |
|
411 |
+ av_free(elbg->utility); |
|
412 |
+ av_free(list_buffer); |
|
413 |
+ av_free(elbg->cells); |
|
414 |
+ av_free(elbg->utility_inc); |
|
415 |
+} |
0 | 416 |
new file mode 100644 |
... | ... |
@@ -0,0 +1,50 @@ |
0 |
+/* |
|
1 |
+ * Copyright (C) 2007 Vitor <vitor1001@gmail.com> |
|
2 |
+ * |
|
3 |
+ * This file is part of FFmpeg. |
|
4 |
+ * |
|
5 |
+ * FFmpeg is free software; you can redistribute it and/or |
|
6 |
+ * modify it under the terms of the GNU Lesser General Public |
|
7 |
+ * License as published by the Free Software Foundation; either |
|
8 |
+ * version 2.1 of the License, or (at your option) any later version. |
|
9 |
+ * |
|
10 |
+ * FFmpeg is distributed in the hope that it will be useful, |
|
11 |
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of |
|
12 |
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
|
13 |
+ * Lesser General Public License for more details. |
|
14 |
+ * |
|
15 |
+ * You should have received a copy of the GNU Lesser General Public |
|
16 |
+ * License along with FFmpeg; if not, write to the Free Software |
|
17 |
+ * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA |
|
18 |
+ */ |
|
19 |
+ |
|
20 |
+#include "random.h" |
|
21 |
+ |
|
22 |
+/** |
|
23 |
+ * Implementation of the Enhanced LBG Algorithm |
|
24 |
+ * Based on the paper "Neural Networks 14:1219-1237" that can be found in |
|
25 |
+ * http://citeseer.ist.psu.edu/patan01enhanced.html . |
|
26 |
+ * |
|
27 |
+ * @param points Input points. |
|
28 |
+ * @param dim Dimension of the points. |
|
29 |
+ * @param numpoints Num of points in **points. |
|
30 |
+ * @param codebook Pointer to the output codebook. Must be allocated. |
|
31 |
+ * @param numCB Number of points in the codebook. |
|
32 |
+ * @param num_steps The maximum number of steps. One step is already a good compromise between time and quality. |
|
33 |
+ * @param closest_cb Return the closest codebook to each point. Must be allocated. |
|
34 |
+ * @param rand_state A random number generator state. Should be already initialised by av_init_random. |
|
35 |
+ */ |
|
36 |
+void ff_do_elbg(int *points, int dim, int numpoints, int *codebook, |
|
37 |
+ int numCB, int num_steps, int *closest_cb, |
|
38 |
+ AVRandomState *rand_state); |
|
39 |
+ |
|
40 |
+/** |
|
41 |
+ * Initialize the **codebook vector for the elbg algorithm. If you have already |
|
42 |
+ * a codebook and you want to refine it, you shouldn't call this function. |
|
43 |
+ * If numpoints < 8*numCB this function fills **codebook with random numbers. |
|
44 |
+ * If not, it calls ff_do_elbg for a (smaller) random sample of the points in |
|
45 |
+ * **points. Get the same parameters as ff_do_elbg. |
|
46 |
+ */ |
|
47 |
+void ff_init_elbg(int *points, int dim, int numpoints, int *codebook, |
|
48 |
+ int numCB, int num_steps, int *closest_cb, |
|
49 |
+ AVRandomState *rand_state); |