assign.cc 13.5 KB
 David G Andersen committed Dec 22, 1999 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 ``````#include #include #include #include #include #include #include #include #include #include #include #include #include "testbed.h" `````` David G Andersen committed Dec 30, 1999 16 17 18 ``````#include "phys.h" topology *topo = NULL; `````` David G Andersen committed Dec 22, 1999 19 20 21 22 23 ``````/* How can we chop things up? */ #define PARTITION_BY_ANNEALING 0 int nparts = 3; /* DEFAULTS */ int intercap = 2; `````` David G Andersen committed Dec 31, 1999 24 ``````int *nodecap = NULL; `````` David G Andersen committed Dec 22, 1999 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 ``````int better_heuristic = 0; int accepts = 0; int nnodes = 0; int partition_mechanism; int on_line = 0; float sensitivity = .1; static const int initial_temperature = 100; static const int temp_prob = 130; int refreshed = 0; tbgraph G(1, 1); node_array bestnodes, absnodes; float bestscore, absbest; float *interlinks; `````` David G Andersen committed Dec 31, 1999 43 ``````int *numnodes; `````` David G Andersen committed Dec 22, 1999 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 `````` /* * Basic simulated annealing parameters: * * Make changes proportional to T * Accept worse solution with p = e^(change/Temperature*sensitivity) * */ inline int accept(float change, float temperature) { float p; int r; if (change == 0) { p = 1000 * temperature / temp_prob; } else { p = expf(change/(temperature*sensitivity)) * 1000; } r = random() % 1000; if (r < p) { accepts++; return 1; } return 0; } float score() { float sc = 0; for (int i = 0; i < nparts; i++) { `````` David G Andersen committed Dec 31, 1999 77 `````` /* Have we violated bandwidth between switches? */ `````` David G Andersen committed Dec 22, 1999 78 79 80 `````` if (interlinks[i] > intercap) { sc += (interlinks[i]-intercap); } `````` David G Andersen committed Dec 31, 1999 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 `````` /* XXX: THIS MUST BE OPTIMIZED */ /* Experimental: Collapse delay nodes together * and handle node fanout restrictions */ /* Mark all nodes unused */ for (int j = 0; j < topo->switches[i]->numnodes(); j++) { topo->switches[i]->nodes[j].used = 0; } int numdelays = 0; int assigned = 0; node n; forall_nodes(n, G) { if (G[n].partition() == i) { if (G[n].type() == testnode::TYPE_DELAY) { numdelays++; } else { assigned = 0; /* Assign to an available node */ for (int j = 0; j < topo->switches[i]->numnodes(); j++) { if (topo->switches[i]->nodes[j].used == 0 && (topo->switches[i]->nodes[j].ints >= G.degree(n))) { topo->switches[i]->nodes[j].used = 1; assigned = 1; break; } } if (!assigned) { sc += 1; } } } } int numn = numnodes[i]; numn -= numdelays; /* Now turn normal nodes into delay nodes as needed */ /* XXX: THIS IS NOT OPTIMAL. We should improve on this * so it uses the right size nodes a bit... but oh well */ int maxnodes = topo->switches[i]->numnodes(); int j = 0; while (numdelays > 0 && j < maxnodes) { `````` David G Andersen committed Dec 31, 1999 125 `````` if (topo->switches[i]->nodes[j].used) { j++; continue; } `````` David G Andersen committed Dec 31, 1999 126 127 128 129 130 131 132 133 134 135 136 137 138 `````` numdelays -= topo->switches[i]->nodes[j].ints/2; topo->switches[i]->nodes[j].used = 1; j++; } /* Add in the unsatisfied delay nodes */ if (numdelays > 0) { sc += numdelays; } /* XXX: This should now be obsolete and handled by the * assigned part above */ #if 0 `````` David G Andersen committed Dec 31, 1999 139 140 141 142 `````` /* Do we have too many nodes per switch? */ if (numnodes[i] > nodecap[i]) { sc += (numnodes[i] - nodecap[i]); } `````` David G Andersen committed Dec 31, 1999 143 ``````#endif `````` David G Andersen committed Dec 31, 1999 144 145 146 147 148 149 150 151 152 `````` /* Try to minimize the number of switches used */ /* This is likely NOT an effective way to do it! */ if (numnodes[i] > 0) { sc += .1; } /* Try to minimize the bandwidth used... also probably not effective */ if (interlinks[i] > 0) { sc += .1 * interlinks[i]; `````` David G Andersen committed Dec 22, 1999 153 154 155 156 157 `````` } } return sc; } `````` David G Andersen committed Dec 31, 1999 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 ``````void violated() { for (int i = 0; i < nparts; i++) { /* Have we violated bandwidth between switches? */ if (interlinks[i] > intercap) { cout << "violated: switch " << i << " bandwidth" << endl; } for (int j = 0; j < topo->switches[i]->numnodes(); j++) { topo->switches[i]->nodes[j].used = 0; } int numdelays = 0; int assigned = 0; int unassigned = 0; node n; forall_nodes(n, G) { if (G[n].partition() == i) { if (G[n].type() == testnode::TYPE_DELAY) { numdelays++; } else { /* Assign to an available node */ assigned = 0; for (int j = 0; j < topo->switches[i]->numnodes(); j++) { if ((topo->switches[i]->nodes[j].used == 0) && (topo->switches[i]->nodes[j].ints >= G.degree(n))) { topo->switches[i]->nodes[j].used = 1; assigned = 1; break; } } if (!assigned) { unassigned++; } } } } if (unassigned > 0) { cout << "violated: switch " << i << " had " << unassigned << " unassigned nodes" << endl; } int numn = numnodes[i]; numn -= numdelays; /* Now turn normal nodes into delay nodes as needed */ /* XXX: THIS IS NOT OPTIMAL. We should improve on this * so it uses the right size nodes a bit... but oh well */ int maxnodes = topo->switches[i]->numnodes(); int j = 0; while (numdelays > 0 && j < maxnodes) { `````` David G Andersen committed Dec 31, 1999 209 `````` if (topo->switches[i]->nodes[j].used) { j++; continue; } `````` David G Andersen committed Dec 31, 1999 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 `````` numdelays -= topo->switches[i]->nodes[j].ints/2; topo->switches[i]->nodes[j].used = 1; j++; } /* Add in the unsatisfied delay nodes */ if (numdelays > 0) { cout << "violated: switch " << i << " had " << numdelays << " unassigned delay nodes" << endl; } } } `````` David G Andersen committed Dec 22, 1999 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 ``````void screset() { edge e; node n; for (int i = 0; i < nparts; i++) { interlinks[i] = numnodes[i] = 0; } forall_nodes(n, G) { numnodes[G[n].partition()]++; } forall_edges(e, G) { node v = G.source(e); node w = G.target(e); if (G[v].partition() != G[w].partition()) { interlinks[G[v].partition()]++; interlinks[G[w].partition()]++; } } } void scupdate(node n, int newpos) { int prevpos; AdjIt it(G, n); prevpos = G[n].partition(); if (newpos == prevpos) return; numnodes[prevpos]--; numnodes[newpos]++; while (it.eol() == false) { edge e = it.get_edge(); node n1 = G.source(e); node n2 = G.target(e); /* Ensure that n2 points to the stationary node */ if (n2 == n) n2 = n1; /* They were not in the same bucket to start with */ /* So both contributed to their interlinks */ if (G[n2].partition() != prevpos) { interlinks[prevpos]--; /* If they're together now, there's no interlink */ if (G[n2].partition() == newpos) { interlinks[G[n2].partition()]--; } else { /* Otherwise, move the interlink */ interlinks[newpos]++; } } else /* They were in the same bucket. They aren't anymore, * or we would have exited earlier */ { interlinks[G[n2].partition()]++; interlinks[newpos]++; } ++it; } G[n].partition(newpos); } int assign() { float newscore, bestscore, absbest; node n; int iters = 0; float timestart = used_time(); float timeend; float scorediff; nnodes = G.number_of_nodes(); float cycles = 120.0*(float)(nnodes + G.number_of_edges()); int mintrans = (int)cycles; int trans; int naccepts = 40*nnodes; int accepts = 0; int oldpos; float temp = initial_temperature; /* Set up the initial counts */ screset(); bestscore = score(); absbest = bestscore; if (bestscore == 0) { #ifdef VERBOSE cout << "Problem started optimal\n"; #endif return 1; } while (temp >= 2) { #ifdef VERBOSE cout << "Temperature: " << temp << endl; #endif trans = 0; accepts = 0; while (trans < mintrans && accepts < naccepts) { int newpos; trans++; iters++; n = G.choose_node(); oldpos = G[n].partition(); newpos = oldpos; /* XXX: Room for improvement. :-) */ while (newpos == oldpos) newpos = random() % nparts; scupdate(n, newpos); newscore = score(); if (newscore < 0.1f) { timeend = used_time(timestart); cout << "OPTIMAL (0.0) in " << iters << " iters, " << timeend << " seconds" << endl; return 1; } /* So it's negative if bad */ scorediff = bestscore - newscore; if (newscore < bestscore || accept(scorediff, temp)) { bestnodes[n] = G[n].partition(); bestscore = newscore; accepts++; if (newscore < absbest) { node n2; forall_nodes(n2, G) { absnodes[n2] = G[n2].partition(); } absbest = newscore; } } else { /* Reject this change */ scupdate(n, oldpos); } } temp *= .9; } forall_nodes(n, G) { bestnodes[n] = absnodes[n]; } bestscore = absbest; forall_nodes(n, G) { G[n].partition(absnodes[n]); } timeend = used_time(timestart); cout << " BEST SCORE: " << score() << " in " << iters << " iters and " << timeend << " seconds" << endl; cout << "With " << accepts << " accepts of increases\n"; `````` David G Andersen committed Dec 31, 1999 383 ``````#if 0 `````` David G Andersen committed Dec 22, 1999 384 `````` for (int i = 0; i < nparts; i++) { `````` David G Andersen committed Dec 31, 1999 385 `````` if (numnodes[i] > nodecap[i]) { `````` David G Andersen committed Dec 22, 1999 386 387 388 389 390 391 392 393 394 395 396 397 398 `````` cout << "node " << i << " has " << numnodes[i] << " nodes" << endl; } if (interlinks[i] > intercap) { cout << "node " << i << " has " << interlinks[i] << " links" << endl; } } if (score() < 0.0001) { return 1; /* Optimal enough */ } else { return 0; } `````` David G Andersen committed Dec 31, 1999 399 400 ``````#endif return 0; `````` David G Andersen committed Dec 22, 1999 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 ``````} void loopassign() { node_array nodestorage; int optimal = 0; int orig_nparts; int orig_cap; float timestart = used_time(); float totaltime; nodestorage.init(G, 0); bestnodes.init(G, 0); absnodes.init(G, 0); nnodes = G.number_of_nodes(); optimal = assign(); totaltime = used_time(timestart); `````` David G Andersen committed Dec 31, 1999 419 `````` violated(); `````` David G Andersen committed Dec 22, 1999 420 421 `````` cout << "Total time to find solution " << totaltime << " seconds" << endl; `````` David G Andersen committed Dec 31, 1999 422 `````` node n; `````` David G Andersen committed Dec 22, 1999 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 ``````} void chopgraph(GraphWin& gw) { node n; forall_nodes(n, G) { G[n].partition(0); } switch(partition_mechanism) { case PARTITION_BY_ANNEALING: loopassign(); break; default: cerr << "Unknown partition mechanism. eeeek." << endl; exit(-1); } } void display_scc(GraphWin& gw) { edge e; node n; if (!refreshed) { forall_nodes(n, G) { G[n].partition(0); } if (on_line) chopgraph(gw); } refreshed = 0; /* Now color them according to their partition */ forall_nodes(n, G) { switch(G[n].partition()) { case 0: gw.set_color(n, black); break; case 1: gw.set_color(n, blue); break; case 2: gw.set_color(n, green); break; case 3: gw.set_color(n, red); break; case 4: gw.set_color(n, yellow); break; case 5: gw.set_color(n, violet); break; case 6: gw.set_color(n, cyan); break; case 7: gw.set_color(n, brown); break; case 8: gw.set_color(n, pink); break; case 9: gw.set_color(n, orange); break; case 10: gw.set_color(n, grey1); break; case 11: gw.set_color(n, grey3); break; } } forall_edges(e, G) { node v = G.source(e); node w = G.target(e); if (G[v].partition() == G[w].partition()) { gw.set_style(e, solid_edge); } else { gw.set_style(e, dashed_edge); } } gw.redraw(); } void reassign(GraphWin& gw) { node n; forall_nodes(n, G) { G[n].partition(0); } bestnodes.init(G, 0); absnodes.init(G, 0); chopgraph(gw); refreshed = 1; display_scc(gw); } void new_edge_handler(GraphWin& gw, edge) { display_scc(gw); } void del_edge_handler(GraphWin& gw) { display_scc(gw); } void new_node_handler(GraphWin& gw, node) { display_scc(gw); } void del_node_handler(GraphWin& gw) { display_scc(gw); } void usage() { fprintf(stderr, `````` Christopher Alfeld committed Dec 27, 1999 530 `````` "usage: assign [-h] [-ao] [-s ] [-n nodes/switch] [-c cap] [file]\n" `````` David G Andersen committed Dec 22, 1999 531 532 533 534 535 536 537 `````` " -h ...... brief help listing\n" " -s # ... number of switches in cluster\n" " -n # ... number of nodes per switch\n" " -c # ... inter-switch capacity (bw)\n" " (# of links which can go between switches\n" " -a ...... Use simulated annealing (default)\n" " -o ...... Update on-line (vs batch, default)\n" `````` David G Andersen committed Dec 30, 1999 538 `````` " -t Input topology desc. from \n" `````` David G Andersen committed Dec 22, 1999 539 540 541 542 543 544 545 546 `````` ); } int main(int argc, char **argv) { int h_menu; extern char *optarg; extern int optind; `````` David G Andersen committed Dec 30, 1999 547 `````` char *topofile = NULL; `````` David G Andersen committed Dec 22, 1999 548 549 550 551 552 `````` int ch; partition_mechanism = PARTITION_BY_ANNEALING; `````` David G Andersen committed Dec 30, 1999 553 `````` while ((ch = getopt(argc, argv, "oas:n:c:t:h")) != -1) `````` David G Andersen committed Dec 22, 1999 554 555 556 557 558 559 `````` switch(ch) { case 'h': usage(); exit(0); case 's': nparts = atoi(optarg); break; case 'c': intercap = atoi(optarg); break; case 'a': partition_mechanism = PARTITION_BY_ANNEALING; break; case 'o': on_line = 1; break; `````` David G Andersen committed Dec 30, 1999 560 `````` case 't': topofile = optarg; break; `````` David G Andersen committed Dec 22, 1999 561 562 563 564 565 566 567 `````` default: usage(); exit(-1); } argc -= optind; argv += optind; interlinks = new float[nparts]; `````` David G Andersen committed Dec 31, 1999 568 `````` numnodes = new int[nparts]; `````` David G Andersen committed Dec 22, 1999 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 `````` for (int i = 0; i < nparts; i++) { interlinks[i] = 0; numnodes[i] = 0; } srandom(time(NULL) + getpid()); GraphWin gw(G, "Flux Testbed: Simulated Annealing"); gw.set_init_graph_handler(del_edge_handler); gw.set_new_edge_handler(new_edge_handler); gw.set_del_edge_handler(del_edge_handler); gw.set_new_node_handler(new_node_handler); gw.set_del_node_handler(del_node_handler); gw.set_node_width(24); gw.set_node_height(24); if (argc == 1) { ifstream infile; infile.open(argv[0]); `````` David G Andersen committed Dec 30, 1999 590 `````` if (!infile || !infile.good()) { `````` Christopher Alfeld committed Dec 27, 1999 591 592 593 `````` cerr << "Error opening file: " << argv[0] << "\n"; exit(1); } `````` David G Andersen committed Dec 22, 1999 594 595 596 597 `````` parse_top(G, infile); gw.update_graph(); node n; forall_nodes(n, G) { `````` David G Andersen committed Dec 31, 1999 598 599 600 `````` if (G[n].name() == NULL) { G[n].name(""); } `````` David G Andersen committed Dec 22, 1999 601 602 603 604 605 `````` gw.set_label(n, G[n].name()); gw.set_position(n, point(random() % 200, random() % 200)); } } `````` David G Andersen committed Dec 30, 1999 606 607 `````` if (topofile != NULL) { `````` David G Andersen committed Dec 31, 1999 608 `````` cout << "Parsing phys\n"; `````` David G Andersen committed Dec 30, 1999 609 610 611 612 613 614 615 `````` topo = parse_phys(topofile); if (!topo) { cerr << "Could not read in topofile " << topofile << endl; exit(-1); } nparts = topo->switchcount; `````` David G Andersen committed Dec 31, 1999 616 617 618 619 620 `````` cout << "Nparts: " << nparts << endl; nodecap = new int[nparts]; for (int i = 0; i < nparts; i++) { nodecap[i] = topo->switches[i]->numnodes(); } `````` David G Andersen committed Dec 31, 1999 621 `````` topo->print_topo(); `````` David G Andersen committed Dec 30, 1999 622 `````` } `````` David G Andersen committed Dec 22, 1999 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 `````` gw.display(); gw.set_directed(false); gw.set_node_shape(circle_node); gw.set_node_label_type(user_label); h_menu = gw.get_menu("Layout"); gw_add_simple_call(gw, reassign, "Reassign", h_menu); gw.edit(); return 0; }``````