1 /*M/////////////////////////////////////////////////////////////////////////////////////// 2 // 3 // IMPORTANT: READ BEFORE DOWNLOADING, COPYING, INSTALLING OR USING. 4 // 5 // By downloading, copying, installing or using the software you agree to this license. 6 // If you do not agree to this license, do not download, install, 7 // copy or use the software. 8 // 9 // 10 // Intel License Agreement 11 // For Open Source Computer Vision Library 12 // 13 // Copyright (C) 2000, Intel Corporation, all rights reserved. 14 // Third party copyrights are property of their respective owners. 15 // 16 // Redistribution and use in source and binary forms, with or without modification, 17 // are permitted provided that the following conditions are met: 18 // 19 // * Redistribution's of source code must retain the above copyright notice, 20 // this list of conditions and the following disclaimer. 21 // 22 // * Redistribution's in binary form must reproduce the above copyright notice, 23 // this list of conditions and the following disclaimer in the documentation 24 // and/or other materials provided with the distribution. 25 // 26 // * The name of Intel Corporation may not be used to endorse or promote products 27 // derived from this software without specific prior written permission. 28 // 29 // This software is provided by the copyright holders and contributors "as is" and 30 // any express or implied warranties, including, but not limited to, the implied 31 // warranties of merchantability and fitness for a particular purpose are disclaimed. 32 // In no event shall the Intel Corporation or contributors be liable for any direct, 33 // indirect, incidental, special, exemplary, or consequential damages 34 // (including, but not limited to, procurement of substitute goods or services; 35 // loss of use, data, or profits; or business interruption) however caused 36 // and on any theory of liability, whether in contract, strict liability, 37 // or tort (including negligence or otherwise) arising in any way out of 38 // the use of this software, even if advised of the possibility of such damage. 39 // 40 //M*/ 41 42 #include "_cvaux.h" 43 44 #if 0 45 46 #include <float.h> 47 #include <limits.h> 48 #include <stdio.h> 49 50 51 #include "_cvutils.h" 52 #include "_cvwrap.h" 53 54 /*typedef struct CvCliqueFinder 55 { 56 CvGraph* graph; 57 int** adj_matr; 58 int N; //graph size 59 60 // stacks, counters etc/ 61 int k; //stack size 62 int* current_comp; 63 int** All; 64 65 int* ne; 66 int* ce; 67 int* fixp; //node with minimal disconnections 68 int* nod; 69 int* s; //for selected candidate 70 int status; 71 int best_score; 72 73 } CvCliqueFinder; 74 */ 75 76 #define GO 1 77 #define BACK 2 78 #define PEREBOR 3 79 #define NEXT PEREBOR 80 #define END 4 81 82 83 #define CV_GET_ADJ_VTX( vertex, edge ) \ 84 ( \ 85 assert(edge->vtx[0]==vertex||edge->vtx[1] == vertex ), \ 86 (edge->vtx[0] == vertex)?edge->vtx[1]:edge->vtx[0] \ 87 ) 88 89 90 #define NUMBER( v ) ((v)->flags >> 1 ) 91 92 void _MarkNodes( CvGraph* graph ) 93 { 94 //set number of vertices to their flags 95 for( int i = 0; i < graph->total; i++ ) 96 { 97 CvGraphVtx* ver = cvGetGraphVtx( graph, i ); 98 if( ver ) 99 { 100 ver->flags = i<<1; 101 } 102 } 103 } 104 105 void _FillAdjMatrix( CvGraph* graph, int** connected, int reverse ) 106 { 107 //assume all vertices are marked 108 for( int i = 0; i < graph->total; i++ ) 109 { 110 for( int j = 0; j < graph->total; j++ ) 111 { 112 connected[i][j] = 0|reverse; 113 } 114 //memset( connected[i], 0, sizeof(int)*graph->total ); 115 CvGraphVtx* ver = cvGetGraphVtx( graph, i ); 116 if( ver ) 117 { 118 connected[i][i] = 1; 119 for( CvGraphEdge* e = ver->first; e ; e = CV_NEXT_GRAPH_EDGE( e, ver ) ) 120 { 121 CvGraphVtx* v = CV_GET_ADJ_VTX( ver, e ); 122 connected[i][NUMBER(v)] = 1^reverse; 123 } 124 } 125 } 126 } 127 128 129 void cvStartFindCliques( CvGraph* graph, CvCliqueFinder* finder, int reverse, int weighted, int weighted_edges ) 130 { 131 int i; 132 133 if (weighted) 134 { 135 finder->weighted = 1; 136 finder->best_weight = 0; 137 finder->vertex_weights = (float*)malloc( sizeof(float)*(graph->total+1)); 138 finder->cur_weight = (float*)malloc( sizeof(float)*(graph->total+1)); 139 finder->cand_weight = (float*)malloc( sizeof(float)*(graph->total+1)); 140 141 finder->cur_weight[0] = 0; 142 finder->cand_weight[0] = 0; 143 for( i = 0 ; i < graph->total; i++ ) 144 { 145 CvGraphWeightedVtx* ver = (CvGraphWeightedVtx*)cvGetGraphVtx( graph, i ); 146 assert(ver); 147 assert(ver->weight>=0); 148 finder->vertex_weights[i] = ver->weight; 149 finder->cand_weight[0] += ver->weight; 150 } 151 } 152 else finder->weighted = 0; 153 154 if (weighted_edges) 155 { 156 finder->weighted_edges = 1; 157 //finder->best_weight = 0; 158 finder->edge_weights = (float*)malloc( sizeof(float)*(graph->total)*(graph->total)); 159 //finder->cur_weight = (float*)malloc( sizeof(float)*(graph->total+1)); 160 //finder->cand_weight = (float*)malloc( sizeof(float)*(graph->total+1)); 161 162 //finder->cur_weight[0] = 0; 163 //finder->cand_weight[0] = 0; 164 memset( finder->edge_weights, 0, sizeof(float)*(graph->total)*(graph->total) ); 165 for( i = 0 ; i < graph->total; i++ ) 166 { 167 CvGraphVtx* ver1 = cvGetGraphVtx( graph, i ); 168 if(!ver1) continue; 169 for( int j = i ; j < graph->total; j++ ) 170 { 171 CvGraphVtx* ver2 = cvGetGraphVtx( graph, j ); 172 if(!ver2) continue; 173 CvGraphEdge* edge = cvFindGraphEdgeByPtr( graph, ver1, ver2 ); 174 if( edge ) 175 { 176 assert( ((CvGraphWeightedEdge*)edge)->weight >= 0 ); 177 finder->edge_weights[ i * graph->total + j ] = 178 finder->edge_weights[ j * graph->total + i ] = ((CvGraphWeightedEdge*)edge)->weight; 179 } 180 } 181 } 182 } 183 else finder->weighted_edges = 0; 184 185 186 //int* Compsub; //current component (vertex stack) 187 finder->k = 0; //counter of steps 188 int N = finder->N = graph->total; 189 finder->current_comp = new int[N]; 190 finder->All = new int*[N]; 191 for( i = 0 ; i < finder->N; i++ ) 192 { 193 finder->All[i] = new int[N]; 194 } 195 196 finder->ne = new int[N+1]; 197 finder->ce = new int[N+1]; 198 finder->fixp = new int[N+1]; //node with minimal disconnections 199 finder->nod = new int[N+1]; 200 finder->s = new int[N+1]; //for selected candidate 201 202 //form adj matrix 203 finder->adj_matr = new int*[N]; //assume filled with 0 204 for( i = 0 ; i < N; i++ ) 205 { 206 finder->adj_matr[i] = new int[N]; 207 } 208 209 //set number to vertices 210 _MarkNodes( graph ); 211 _FillAdjMatrix( graph, finder->adj_matr, reverse ); 212 213 //init all arrays 214 int k = finder->k = 0; //stack size 215 memset( finder->All[k], 0, sizeof(int) * N ); 216 for( i = 0; i < N; i++ ) finder->All[k][i] = i; 217 finder->ne[0] = 0; 218 finder->ce[0] = N; 219 220 finder->status = GO; 221 finder->best_score = 0; 222 223 } 224 225 void cvEndFindCliques( CvCliqueFinder* finder ) 226 { 227 int i; 228 229 //int* Compsub; //current component (vertex stack) 230 delete finder->current_comp; 231 for( i = 0 ; i < finder->N; i++ ) 232 { 233 delete finder->All[i]; 234 } 235 delete finder->All; 236 237 delete finder->ne; 238 delete finder->ce; 239 delete finder->fixp; //node with minimal disconnections 240 delete finder->nod; 241 delete finder->s; //for selected candidate 242 243 //delete adj matrix 244 for( i = 0 ; i < finder->N; i++ ) 245 { 246 delete finder->adj_matr[i]; 247 } 248 delete finder->adj_matr; 249 250 if(finder->weighted) 251 { 252 free(finder->vertex_weights); 253 free(finder->cur_weight); 254 free(finder->cand_weight); 255 } 256 if(finder->weighted_edges) 257 { 258 free(finder->edge_weights); 259 } 260 } 261 262 int cvFindNextMaximalClique( CvCliqueFinder* finder ) 263 { 264 int** connected = finder->adj_matr; 265 // int N = finder->N; //graph size 266 267 // stacks, counters etc/ 268 int k = finder->k; //stack size 269 int* Compsub = finder->current_comp; 270 int** All = finder->All; 271 272 int* ne = finder->ne; 273 int* ce = finder->ce; 274 int* fixp = finder->fixp; //node with minimal disconnections 275 int* nod = finder->nod; 276 int* s = finder->s; //for selected candidate 277 278 //START 279 while( k >= 0) 280 { 281 int* old = All[k]; 282 switch(finder->status) 283 { 284 case GO://Forward step 285 /* we have all sets and will choose fixed point */ 286 { 287 //check potential size of clique 288 if( (!finder->weighted) && (k + ce[k] - ne[k] < finder->best_score) ) 289 { 290 finder->status = BACK; 291 break; 292 } 293 //check potential weight 294 if( finder->weighted && !finder->weighted_edges && 295 finder->cur_weight[k] + finder->cand_weight[k] < finder->best_weight ) 296 { 297 finder->status = BACK; 298 break; 299 } 300 301 int minnod = ce[k]; 302 nod[k] = 0; 303 304 //for every vertex of All determine counter value and choose minimum 305 for( int i = 0; i < ce[k] && minnod != 0; i++) 306 { 307 int p = old[i]; //current point 308 int count = 0; //counter 309 int pos = 0; 310 311 /* Count disconnections with candidates */ 312 for (int j = ne[k]; j < ce[k] && (count < minnod); j++) 313 { 314 if ( !connected[p][old[j]] ) 315 { 316 count++; 317 /* Save position of potential candidate */ 318 pos = j; 319 } 320 } 321 322 /* Test new minimum */ 323 if (count < minnod) 324 { 325 fixp[k] = p; //set current point as fixed 326 minnod = count; //new value for minnod 327 if (i < ne[k]) //if current fixed point belongs to 'not' 328 { 329 s[k] = pos; //s - selected candidate 330 } 331 else 332 { 333 s[k] = i; //selected candidate is fixed point itself 334 /* preincr */ 335 nod[k] = 1; //nod is aux variable, 1 means fixp == s 336 } 337 } 338 }//for 339 340 nod[k] = minnod + nod[k]; 341 finder->status = NEXT;//go to backtrackcycle 342 } 343 break; 344 case NEXT: 345 //here we will look for candidate to translate into not 346 //s[k] now contains index of choosen candidate 347 { 348 int* new_ = All[k+1]; 349 if( nod[k] != 0 ) 350 { 351 //swap selected and first candidate 352 int i, p = old[s[k]]; 353 old[s[k]] = old[ne[k]]; 354 int sel = old[ne[k]] = p; 355 356 int newne = 0; 357 //fill new set 'not' 358 for ( i = 0; i < ne[k]; i++) 359 { 360 if (connected[sel][old[i]]) 361 { 362 new_[newne] = old[i]; 363 newne++; 364 365 } 366 } 367 //fill new set 'candidate' 368 int newce = newne; 369 i++;//skip selected candidate 370 371 float candweight = 0; 372 373 for (; i < ce[k]; i++) 374 { 375 if (connected[sel][old[i]]) 376 { 377 new_[newce] = old[i]; 378 379 if( finder->weighted ) 380 candweight += finder->vertex_weights[old[i]]; 381 382 newce++; 383 } 384 } 385 386 nod[k]--; 387 388 //add selected to stack 389 Compsub[k] = sel; 390 391 k++; 392 assert( k <= finder->N ); 393 if( finder->weighted ) 394 { 395 //update weights of current clique and candidates 396 finder->cur_weight[k] = finder->cur_weight[k-1] + finder->vertex_weights[sel]; 397 finder->cand_weight[k] = candweight; 398 } 399 if( finder->weighted_edges ) 400 { 401 //update total weight by edge weights 402 float added = 0; 403 for( int ind = 0; ind < k-1; ind++ ) 404 { 405 added += finder->edge_weights[ Compsub[ind] * finder->N + sel ]; 406 } 407 finder->cur_weight[k] += added; 408 } 409 410 //check if 'not' and 'cand' are both empty 411 if( newce == 0 ) 412 { 413 finder->best_score = MAX(finder->best_score, k ); 414 415 if( finder->weighted ) 416 finder->best_weight = MAX( finder->best_weight, finder->cur_weight[k] ); 417 /*FILE* file = fopen("cliques.txt", "a" ); 418 419 for (int t=0; t<k; t++) 420 { 421 fprintf(file, "%d ", Compsub[t]); 422 } 423 fprintf(file, "\n"); 424 425 fclose(file); 426 */ 427 428 //output new clique//************************ 429 finder->status = BACK; 430 finder->k = k; 431 432 return CLIQUE_FOUND; 433 434 } 435 else //check nonempty set of candidates 436 if( newne < newce ) 437 { 438 //go further 439 ne[k] = newne; 440 ce[k] = newce; 441 finder->status = GO; 442 break; 443 } 444 445 } 446 else 447 finder->status = BACK; 448 449 } 450 break; 451 452 case BACK: 453 { 454 //decrease stack 455 k--; 456 old = All[k]; 457 if( k < 0 ) break; 458 459 //add to not 460 ne[k]++; 461 462 if( nod[k] > 0 ) 463 { 464 //select next candidate 465 for( s[k] = ne[k]; s[k] < ce[k]; s[k]++ ) 466 { 467 if( !connected[fixp[k]][old[s[k]]]) 468 break; 469 } 470 assert( s[k] < ce[k] ); 471 finder->status = NEXT; 472 } 473 else 474 finder->status = BACK; 475 476 } 477 break; 478 case END: assert(0); 479 480 } 481 }//end while 482 483 finder->status = END; 484 return CLIQUE_END; 485 } 486 487 488 489 490 void cvBronKerbosch( CvGraph* graph ) 491 { 492 int* Compsub; //current component (vertex stack) 493 int k = 0; //counter of steps 494 int N = graph->total; 495 int i; 496 Compsub = new int[N]; 497 int** All = new int*[N]; 498 for( i = 0 ; i < N; i++ ) 499 { 500 All[i] = new int[N]; 501 } 502 503 int* ne = new int[N]; 504 int* ce = new int[N]; 505 int* fixp = new int[N]; //node with minimal disconnections 506 int* nod = new int[N]; 507 int* s = new int[N]; //for selected candidate 508 509 //form adj matrix 510 int** connected = new int*[N]; //assume filled with 0 511 for( i = 0 ; i < N; i++ ) 512 { 513 connected[i] = new int[N]; 514 } 515 516 517 518 //set number to vertices 519 _MarkNodes( graph ); 520 _FillAdjMatrix( graph, connected, 0 ); 521 522 //init all arrays 523 k = 0; //stack size 524 memset( All[k], 0, sizeof(int) * N ); 525 for( i = 0; i < N; i++ ) All[k][i] = i; 526 ne[0] = 0; 527 ce[0] = N; 528 529 int status = GO; 530 int best_score = 0; 531 532 //START 533 while( k >= 0) 534 { 535 int* old = All[k]; 536 switch(status) 537 { 538 case GO://Forward step 539 /* we have all sets and will choose fixed point */ 540 { 541 542 if( k + ce[k] - ne[k] < best_score ) 543 { 544 status = BACK; 545 break; 546 } 547 548 int minnod = ce[k]; 549 nod[k] = 0; 550 551 //for every vertex of All determine counter value and choose minimum 552 for( int i = 0; i < ce[k] && minnod != 0; i++) 553 { 554 int p = old[i]; //current point 555 int count = 0; //counter 556 int pos = 0; 557 558 /* Count disconnections with candidates */ 559 for (int j = ne[k]; j < ce[k] && (count < minnod); j++) 560 { 561 if ( !connected[p][old[j]] ) 562 { 563 count++; 564 /* Save position of potential candidate */ 565 pos = j; 566 } 567 } 568 569 /* Test new minimum */ 570 if (count < minnod) 571 { 572 fixp[k] = p; //set current point as fixed 573 minnod = count; //new value for minnod 574 if (i < ne[k]) //if current fixed point belongs to 'not' 575 { 576 s[k] = pos; //s - selected candidate 577 } 578 else 579 { 580 s[k] = i; //selected candidate is fixed point itself 581 /* preincr */ 582 nod[k] = 1; //nod is aux variable, 1 means fixp == s 583 } 584 } 585 }//for 586 587 nod[k] = minnod + nod[k]; 588 status = NEXT;//go to backtrackcycle 589 } 590 break; 591 case NEXT: 592 //here we will look for candidate to translate into not 593 //s[k] now contains index of choosen candidate 594 { 595 int* new_ = All[k+1]; 596 if( nod[k] != 0 ) 597 { 598 //swap selected and first candidate 599 int p = old[s[k]]; 600 old[s[k]] = old[ne[k]]; 601 int sel = old[ne[k]] = p; 602 603 int newne = 0; 604 //fill new set 'not' 605 for ( i = 0; i < ne[k]; i++) 606 { 607 if (connected[sel][old[i]]) 608 { 609 new_[newne] = old[i]; 610 newne++; 611 612 } 613 } 614 //fill new set 'candidate' 615 int newce = newne; 616 i++;//skip selected candidate 617 for (; i < ce[k]; i++) 618 { 619 if (connected[sel][old[i]]) 620 { 621 new_[newce] = old[i]; 622 newce++; 623 } 624 } 625 626 nod[k]--; 627 628 //add selected to stack 629 Compsub[k] = sel; 630 k++; 631 632 //check if 'not' and 'cand' are both empty 633 if( newce == 0 ) 634 { 635 best_score = MAX(best_score, k ); 636 637 FILE* file = fopen("cliques.txt", "a" ); 638 639 for (int t=0; t<k; t++) 640 { 641 fprintf(file, "%d ", Compsub[t]); 642 } 643 fprintf(file, "\n"); 644 645 fclose(file); 646 647 /*for( int t = 0; t < k; t++ ) 648 { 649 printf("%d ", Compsub[t] ); 650 } 651 printf("\n"); */ 652 653 //printf("found %d\n", k); 654 655 //output new clique//************************ 656 status = BACK; 657 } 658 else //check nonempty set of candidates 659 if( newne < newce ) 660 { 661 //go further 662 ne[k] = newne; 663 ce[k] = newce; 664 status = GO; 665 break; 666 } 667 668 } 669 else 670 status = BACK; 671 672 } 673 break; 674 675 case BACK: 676 { 677 //decrease stack 678 k--; 679 old = All[k]; 680 if( k < 0 ) break; 681 682 //add to not 683 ne[k]++; 684 685 if( nod[k] > 0 ) 686 { 687 //select next candidate 688 for( s[k] = ne[k]; s[k] < ce[k]; s[k]++ ) 689 { 690 if( !connected[fixp[k]][old[s[k]]]) 691 break; 692 } 693 assert( s[k] < ce[k] ); 694 status = NEXT; 695 } 696 else 697 status = BACK; 698 699 } 700 break; 701 702 703 } 704 }//end while 705 706 }//end cvBronKerbosch 707 708 #endif 709 710
