search.cc 53.7 KB
Newer Older
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
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
77
78
79
80
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
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
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
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
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
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
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
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
1199
1200
1201
1202
1203
1204
1205
1206
1207
1208
1209
1210
1211
1212
1213
1214
1215
1216
1217
1218
1219
1220
1221
1222
1223
1224
1225
1226
1227
1228
1229
1230
1231
1232
1233
1234
1235
1236
1237
1238
1239
1240
1241
1242
1243
1244
1245
1246
1247
1248
1249
1250
1251
1252
1253
1254
1255
1256
1257
1258
1259
1260
1261
1262
1263
1264
1265
1266
1267
1268
1269
1270
1271
1272
1273
1274
1275
1276
1277
1278
1279
1280
1281
1282
1283
1284
1285
1286
1287
1288
1289
1290
1291
1292
1293
1294
1295
1296
1297
1298
1299
1300
1301
1302
1303
1304
1305
1306
1307
1308
1309
1310
1311
1312
1313
1314
1315
1316
1317
1318
1319
1320
1321
1322
1323
1324
1325
1326
1327
1328
1329
1330
1331
1332
1333
1334
1335
1336
1337
1338
1339
1340
1341
1342
1343
1344
1345
1346
/*************************************************************************
 * Copyright (c) 2016-2022, NVIDIA CORPORATION. All rights reserved.
 * Modifications Copyright (c) 2019-2022 Advanced Micro Devices, Inc. All rights reserved.
 *
 * See LICENSE.txt for license information
 ************************************************************************/

#include "core.h"
#include "graph.h"
#include "topo.h"
#include "xml.h"
#include <math.h>
#include <sys/time.h>
#include "rome_models.h"

NCCL_PARAM(CrossNic, "CROSS_NIC", 2);

// Initialize system->maxBw. This is the per-channel (i.e. per-SM)
// max bw.
static float getMaxBw(struct ncclTopoSystem* system, struct ncclTopoNode* gpu, int type) {
  float maxBw = 0.0;
  for (int i=0; i<system->nodes[type].count; i++) {
    struct ncclTopoLinkList* path = gpu->paths[type]+i;
    float bw = path->bw;
    if (path->count == 0) continue;
    maxBw = std::max(maxBw, bw);
  }
  return maxBw;
}
static float getTotalBw(struct ncclTopoSystem* system, struct ncclTopoNode* gpu) {
  float nvlinkBw = 0.0, pciBw = 0.0;
  for (int l=0; l<gpu->nlinks; l++) {
    struct ncclTopoLink* link = gpu->links+l;
    if (link->type == LINK_NVL) nvlinkBw += link->bw;
    if (link->type == LINK_PCI) pciBw = link->bw;
  }
  return std::max(pciBw, nvlinkBw);
}
ncclResult_t ncclTopoSearchInit(struct ncclTopoSystem* system) {
  system->maxBw = 0.0;
  system->totalBw = 0.0;
  int inter = system->nodes[NET].count;
  if (inter == 0 && system->nodes[GPU].count == 1) {
    system->maxBw = LOC_BW;
    return ncclSuccess;
  }
  for (int g=0; g<system->nodes[GPU].count; g++) {
    struct ncclTopoNode* gpu = system->nodes[GPU].nodes+g;
    system->maxBw = std::max(system->maxBw, getMaxBw(system, gpu, inter ? NET : GPU));
    system->totalBw = std::max(system->totalBw, getTotalBw(system, gpu));
  }
  return ncclSuccess;
}

static ncclResult_t findRevLink(struct ncclTopoNode* node1, struct ncclTopoNode* node2, struct ncclTopoLink** revLink) {
  for (int l=0; l<node2->nlinks; l++) {
    struct ncclTopoLink* link = node2->links+l;
    if (link->remNode == node1) {
      *revLink = link;
      return ncclSuccess;
    }
  }
  WARN("Could not find rev link for %d/%ld -> %d/%ld", node1->type, node1->id, node2->type, node2->id);
  return ncclInternalError;
}

// This is unfortunately needed since manipulating floats often results in rounding errors.
#define SUB_ROUND(a, b) (a = roundf((a-b)*1000)/1000)

static ncclResult_t followPath(struct ncclTopoLinkList* path, struct ncclTopoNode* start, int maxSteps, float bw, int* steps) {
  float pciBw = bw;
  for (int step=0; step<path->count; step++) {
    struct ncclTopoNode* node = path->list[step]->remNode;
    if (node->type == CPU) {
      // Account for P2P inefficiency through Intel CPU RC
      if (path->type == PATH_PHB && start->type == GPU &&
          node->cpu.arch == NCCL_TOPO_CPU_ARCH_X86 &&
          node->cpu.vendor == NCCL_TOPO_CPU_VENDOR_INTEL) {
        pciBw = INTEL_P2P_OVERHEAD(bw);
      }
    }
  }

  struct ncclTopoNode* node = start;
  for (int step=0; step<maxSteps; step++) {
    struct ncclTopoLink* link = path->list[step];
    struct ncclTopoLink* revLink = NULL;
    float fwBw = link->type == LINK_PCI ? pciBw : bw;
    float revBw = 0;
    if (link->remNode->type == GPU && link->remNode->gpu.cudaCompCap < 80 && start->type != GPU) {
      if (revLink == NULL) NCCLCHECK(findRevLink(node, link->remNode, &revLink));
      revBw += fwBw/8;
    }
    if (link->remNode->type == CPU && link->type == LINK_NVL) {
      if (revLink == NULL) NCCLCHECK(findRevLink(node, link->remNode, &revLink));
      revBw += fwBw;
    }
    if (link->bw < fwBw || (revBw && revLink->bw < revBw)) { *steps = step; return ncclSuccess; }
    SUB_ROUND(link->bw, fwBw);
    if (revBw) SUB_ROUND(revLink->bw, revBw);
    node = link->remNode;
  }
  *steps = maxSteps;
  return ncclSuccess;
}

// Try to go from node type1/index1 to no type2/index2. mult indicates whether we are counting the bandwidth (1) or undoing (-1).
static ncclResult_t ncclTopoFollowPath(struct ncclTopoSystem* system, struct ncclTopoGraph* graph, int type1, int index1, int type2, int index2, int mult, struct ncclTopoNode** node) {
  // First handle easy cases
  *node = system->nodes[type2].nodes+index2;
  if (type1 == -1) return ncclSuccess;
  struct ncclTopoNode* node1 = system->nodes[type1].nodes+index1;
  struct ncclTopoLinkList* path = node1->paths[type2]+index2;
  struct ncclTopoNode* node2 = system->nodes[type2].nodes+index2;
  struct ncclTopoLinkList* revPath = node2->paths[type1]+index1;

  if (path == NULL) {
    WARN("No path computed to go from %s/%d to %s/%d", topoNodeTypeStr[type1], index1, topoNodeTypeStr[type2], index2);
    return ncclInternalError;
  }
  if (path->count == 0 ) return ncclSuccess;

  // Now check link type
  *node = NULL;
  int intra = (type1 == GPU || type1 == NVS) && (type2 == GPU || type2 == NVS);
  float bw = intra ? graph->bwIntra : graph->bwInter;
  int type = intra ? graph->typeIntra : graph->typeInter;

  if (mult == 1 && (path->type > type)) return ncclSuccess;
  if (mult == 1 && (graph->pattern == NCCL_TOPO_PATTERN_BALANCED_TREE ||
        graph->pattern == NCCL_TOPO_PATTERN_TREE ||
        graph->pattern == NCCL_TOPO_PATTERN_SPLIT_TREE) &&
      (revPath->type > type)) return ncclSuccess;

  bw *= mult;

  // Check there is enough bandwidth on paths.
  int step = 0;
  NCCLCHECK(followPath(path, node1, path->count, bw, &step));
  if (step < path->count) goto rewind;

  // Enough bandwidth : return destination node.
  graph->nHops += mult*path->count;
  *node = system->nodes[type2].nodes+index2;
  return ncclSuccess;

rewind:
  // Not enough bandwidth : rewind and exit.
  NCCLCHECK(followPath(path, node1, step, -bw, &step));
  return ncclSuccess;
}

static int gpuPciBw(struct ncclTopoNode* gpu) {
  for (int l=0; l<gpu->nlinks; l++) {
    struct ncclTopoLink* gpuLink = gpu->links+l;
    if (gpuLink->type != LINK_PCI) continue;
    struct ncclTopoNode* pci = gpuLink->remNode;
    for (int l=0; l<pci->nlinks; l++) {
      struct ncclTopoLink* pciLink = pci->links+l;
      if (pciLink->remNode != gpu) continue;
      return std::min(gpuLink->bw, pciLink->bw);
    }
  }
  return -1;
}

/* Choose the order in which we try next GPUs. This is critical for the search
   to quickly converge to the best solution even if it eventually times out. */
struct ncclGpuScore {
  int g;             // Retain the index
  int startIndex;    // Least important
  int intraNhops;
  int intraBw;
  int interNhops;
  int interPciBw;
  int interBw;    // Most important
};

static int cmpScore(const void * g1, const void * g2) {
   struct ncclGpuScore *s1 = (struct ncclGpuScore*)g1;
   struct ncclGpuScore *s2 = (struct ncclGpuScore*)g2;
   int d;
   if ((d = (s2->interBw - s1->interBw))) return d;
   if ((d = (s2->interPciBw - s1->interPciBw))) return d;
   if ((d = (s1->interNhops - s2->interNhops))) return d;
   if ((d = (s2->intraBw - s1->intraBw))) return d;
   if ((d = (s1->intraNhops - s2->intraNhops))) return d;
   return s1->startIndex - s2->startIndex;
}

static int cmpIntraScores(struct ncclGpuScore* scores, int count) {
  int intraBw = scores[0].intraBw;
  int intraNhops = scores[0].intraNhops;
  for (int i=1; i<count; i++) {
    if (scores[i].intraBw != intraBw || scores[i].intraNhops != intraNhops) return 1;
  }
  return 0;
}

static ncclResult_t getGpuIndex(struct ncclTopoSystem* system, int rank, int* index) {
  for (int g=0; g<system->nodes[GPU].count; g++) {
    if (system->nodes[GPU].nodes[g].gpu.rank == rank) {
      *index = g;
      return ncclSuccess;
    }
  }
  WARN("Could not find gpu rank %d", rank);
  return ncclInternalError;
}

static ncclResult_t getNetIndex(struct ncclTopoSystem* system, int64_t id, int* index) {
  for (int n=0; n<system->nodes[NET].count; n++) {
    if (system->nodes[NET].nodes[n].id == id) {
      *index = n;
      return ncclSuccess;
    }
  }
  WARN("Could not find net id %lx", id);
  return ncclInternalError;
}

static ncclResult_t getNetPaths(struct ncclTopoSystem* system, struct ncclTopoGraph* graph, struct ncclTopoLinkList** netPaths) {
  int netId = graph->inter[graph->nChannels*2];
  int n;
  NCCLCHECK(getNetIndex(system, netId, &n));
  *netPaths=system->nodes[NET].nodes[n].paths[GPU];
  return ncclSuccess;
}

ncclResult_t ncclTopoSearchNextGpuSort(struct ncclTopoSystem* system, struct ncclTopoGraph* graph, struct ncclTopoNode* gpu, int* next, int* countPtr, int sortNet) {
  const uint64_t flag = 1ULL<<(graph->nChannels);
  int ngpus = system->nodes[GPU].count;
  struct ncclTopoLinkList* paths = gpu->paths[GPU];
  struct ncclTopoLinkList* netPaths = NULL;
  if (sortNet) NCCLCHECK(getNetPaths(system, graph, &netPaths));

  struct ncclGpuScore scores[NCCL_TOPO_MAX_NODES];
  memset(scores, 0, ngpus*sizeof(struct ncclGpuScore));
  int start = gpu-system->nodes[GPU].nodes;
  int count = 0;
  for (int i=1; i<ngpus; i++) {
    int g = (start+i)%ngpus;
    if (paths[g].count == 0) continue; // There is no path to that GPU
    if (system->nodes[GPU].nodes[g].used & flag) continue;
    scores[count].g = g;
    scores[count].startIndex = i;
    scores[count].intraNhops = paths[g].count;
    scores[count].intraBw = paths[g].bw;
    if (netPaths) {
      scores[count].interNhops = netPaths[g].count;
      scores[count].interPciBw = gpuPciBw(system->nodes[GPU].nodes+g);
      scores[count].interBw = netPaths[g].bw;
    }
    count++;
  }

  // Sort GPUs
  qsort(scores, count, sizeof(struct ncclGpuScore), cmpScore);

  // Check if all have the same intra-node score in which case we go reverse for sortNet = -1
  if (sortNet == -1 && cmpIntraScores(scores, count) == 0) {
    for (int i=0; i<count; i++) next[i] = scores[count-1-i].g;
  } else {
    for (int i=0; i<count; i++) next[i] = scores[i].g;
  }
  *countPtr = count;
  return ncclSuccess;
}

ncclResult_t ncclTopoSearchRec(struct ncclTopoSystem* system, struct ncclTopoGraph* graph, struct ncclTopoGraph* saveGraph, int* time);

// Try to keep all searchs within one second
#define NCCL_SEARCH_GLOBAL_TIMEOUT (5ULL<<16)
#define NCCL_SEARCH_TIMEOUT (1<<14)
#define NCCL_SEARCH_TIMEOUT_TREE (1<<14)
#define NCCL_SEARCH_TIMEOUT_SAMECHANNELS (1<<8)

#define FORCED_ORDER_PCI 1
#define FORCED_ORDER_REPLAY 2

ncclResult_t ncclTopoReplayGetGpu(struct ncclTopoSystem* system, struct ncclTopoGraph* graph, int step, int* g) {
  *g = -1;
  if (graph->nChannels == 0) return ncclInternalError;
  int ngpus = system->nodes[GPU].count;
  int nextRank = graph->intra[(graph->nChannels-1)*ngpus+step+1];
  for (int i=0; i<ngpus; i++) if (system->nodes[GPU].nodes[i].gpu.rank == nextRank) {
    *g = i;
    return ncclSuccess;
  }
  if (*g == -1) return ncclInternalError;
  return ncclSuccess;
}

ncclResult_t ncclTopoSearchRecGpu(struct ncclTopoSystem* system, struct ncclTopoGraph* graph, struct ncclTopoGraph* saveGraph, struct ncclTopoNode* gpu, int step, int backToNet, int backToFirstRank, int forcedOrder, int *time);

ncclResult_t ncclTopoSearchTryGpu(struct ncclTopoSystem* system, struct ncclTopoGraph* graph, struct ncclTopoGraph* saveGraph, int step, int backToNet, int backToFirstRank, int forcedOrder, int *time, int type, int index, int g) {
  const uint64_t flag = 1ULL<<(graph->nChannels);
  struct ncclTopoNode* gpu;
  NCCLCHECK(ncclTopoFollowPath(system, graph, type, index, GPU, g, 1, &gpu));
  if (gpu) {
    gpu->used ^= flag;
    NCCLCHECK(ncclTopoSearchRecGpu(system, graph, saveGraph, gpu, step, backToNet, backToFirstRank, forcedOrder, time));
    gpu->used ^= flag;
    NCCLCHECK(ncclTopoFollowPath(system, graph, type, index, GPU, g, -1, &gpu));
  }
  return ncclSuccess;
}

static int ncclTopoCountXGMI(struct ncclTopoSystem* system, struct ncclTopoGraph* graph) {
  int ngpus = system->nodes[GPU].count;
  int count = 0;
  for (int c=0; c<graph->nChannels; c++) {
    for (int i=0; i<ngpus; i++) {
      int g = graph->intra[ngpus*c+i];
      int n = graph->intra[ngpus*c+((i+1)%ngpus)];
      struct ncclTopoNode *node;
      int j;
      for (j=0; j<ngpus; j++)
        if (system->nodes[GPU].nodes[j].gpu.rank == g) break;
      if (j<ngpus) {
        node = system->nodes[GPU].nodes+j;
        for (int k = 0; k<system->nodes[GPU].count; k++) {
          if (node->paths[GPU][k].count == 1) {
            struct ncclTopoLink* link = node->paths[GPU][k].list[0];
            struct ncclTopoNode* remNode = link->remNode;
            if (remNode->gpu.rank == n) {
              if (link->type == LINK_NVL)
                count ++;
            }
          }
        }
      }
    }
  }
  return count;
}

ncclResult_t ncclTopoSearchTryNvls(struct ncclTopoSystem* system, struct ncclTopoGraph* graph, struct ncclTopoGraph* saveGraph, int g, int ngpus, int *time) {
  struct ncclTopoNode* nvs;
  struct ncclTopoNode* gpu;
  int d0=0; // See if there is enough bandwidth for NVS->GPU traffic
  do {
    NCCLCHECK(ncclTopoFollowPath(system, graph, NVS, 0, GPU, d0, d0 == g ? 2 : 1, &gpu));
    d0++;
  } while (gpu && d0 < system->nodes[GPU].count);
  if (gpu == NULL) {
    d0--;
  } else {
    int d1=0; // See if there is enough bandwidth for GPU->NVS traffic
    do {
      NCCLCHECK(ncclTopoFollowPath(system, graph, GPU, d1, NVS, 0, d1 == g ? 2 : 1, &nvs));
      d1++;
    } while (nvs && d1 < system->nodes[GPU].count);
    if (nvs == NULL) {
      d1--;
    } else { // Both directions worked. Move on to the next path.
      NCCLCHECK(ncclTopoSearchRecGpu(system, graph, saveGraph, NULL, ngpus, -1, -1, 0, time));
    }
    while (d1) {
      d1--;
      NCCLCHECK(ncclTopoFollowPath(system, graph, GPU, d1, NVS, 0, d1 == g ? -2 : -1, &nvs));
    }
  }
  while (d0) {
    d0--;
    NCCLCHECK(ncclTopoFollowPath(system, graph, NVS, 0, GPU, d0, d0 == g ? -2 : -1, &gpu));
  }
  return ncclSuccess;
}

ncclResult_t ncclTopoCompareGraphs(struct ncclTopoSystem* system, struct ncclTopoGraph* graph, struct ncclTopoGraph* refGraph, int* copy) {
  // 1. Try to get the same nChannels between Rings and Trees
  if (graph->nChannels < graph->minChannels) return ncclSuccess;

  if (graph->pattern == NCCL_TOPO_PATTERN_NVLS) { // NVLS channels correspond to GPUs pulling from NVLS. So the more the better.
    if (graph->nChannels > refGraph->nChannels && graph->nChannels <= system->nodes[GPU].count) *copy = 1;
    return ncclSuccess;
  }
  // 2. Try to get better bandwidth
  // Give a 15% perf bonus to paths not crossing nics
  float target = 1.0 - (refGraph->crossNic - graph->crossNic) * .15;
  if (graph->nChannels*graph->bwIntra > refGraph->nChannels*refGraph->bwIntra*target) {
    *copy = 1;
    return ncclSuccess;
  }
  if (graph->nChannels*graph->bwIntra < refGraph->nChannels*refGraph->bwIntra*target) return ncclSuccess;

  // 3. Less hops
  if (graph->pattern == refGraph->pattern && graph->crossNic == refGraph->crossNic && graph->nHops < refGraph->nHops) *copy = 1;

  // 4. Prefer graph with more XGMI connections
  if (graph->nChannels == refGraph->nChannels
    && ncclTopoCountXGMI(system, refGraph) < ncclTopoCountXGMI(system, graph)) *copy = 1;
  return ncclSuccess;
}

// Build a list of the best NETs to try.
//
// "gpu" can be set to -1 to build a list suitable for all GPUs (search start) or to a given gpu
//  index when trying to get back to the NIC.
//
// The list is built the following way:
// 1. Select NETs starting with those close to GPU(s), based on paths[n].type.
// 2. For each GPU, once that list of NICs with a given distance is prepared, shuffle the list
//    based on the GPU NVML index so that e.g. GPU 1 chooses NIC 1 first instead of NIC 0 which
//    might have been choosen by GPU 0 (case with multiple independent communicators per node)
// 3. Then add the NETs to the final list if they were not already added by another closer GPU.

ncclResult_t ncclTopoSelectNets(struct ncclTopoSystem* system, int typeInter, int gpu, int* nets, int* netCountRet) {
  int netCount = 0;
  int localNetCount;
  int* localNets;
  NCCLCHECK(ncclCalloc(&localNets, system->nodes[NET].count));

  for (int t=0; t <= typeInter; t++) {
    for (int g=0; g<system->nodes[GPU].count; g++) {
      if (gpu != -1 && gpu != g) continue;
      localNetCount = 0;
      struct ncclTopoNode* gpu = system->nodes[GPU].nodes+g;
      struct ncclTopoLinkList* paths = gpu->paths[NET];
      for (int n=0; n<system->nodes[NET].count; n++) {
        if (paths[n].type == t) localNets[localNetCount++] = n;
      }
      if (localNetCount == 0) continue;
      // Shuffle by gpu NVML device number so that GPUs on the same PCI switch
      // with multiple NICs don't use the same one as first choice.
      for (int r=0; r<system->nodes[GPU].nodes[g].gpu.dev % localNetCount; r++) {
        int net0 = localNets[0];
        for (int i=0; i<localNetCount-1; i++) localNets[i] = localNets[i+1];
        localNets[localNetCount-1] = net0;
      }
      // Append NICs to list
      for (int i=0; i<localNetCount; i++) {
        int n = localNets[i];
        int found = 0;
        while (nets[found] != n && found<netCount) found++;
        if (found == netCount) nets[netCount++] = n;
      }
    }
  }

  *netCountRet = netCount;
  free(localNets);

  return ncclSuccess;
}

ncclResult_t ncclTopoSearchRecGpu(struct ncclTopoSystem* system, struct ncclTopoGraph* graph, struct ncclTopoGraph* saveGraph, struct ncclTopoNode* gpu, int step, int backToNet, int backToFirstRank, int forcedOrder, int *time) {
  if ((*time) <= 0) return ncclSuccess;
  (*time)--;

  int ngpus = system->nodes[GPU].count;
  if (step == ngpus) {
    // Determine whether we found a better solution or not
    int copy = 0;
    graph->nChannels++;
    NCCLCHECK(ncclTopoCompareGraphs(system, graph, saveGraph, &copy));
    if (copy) {
      memcpy(saveGraph, graph, sizeof(struct ncclTopoGraph));
      if (graph->nChannels == graph->maxChannels) *time = -1;
    }
    if (graph->nChannels < graph->maxChannels) {
      NCCLCHECK(ncclTopoSearchRec(system, graph, saveGraph, time));
    }
    graph->nChannels--;
    return ncclSuccess;
  }
  graph->intra[graph->nChannels*ngpus+step] = gpu->gpu.rank;
  int g = gpu - system->nodes[GPU].nodes;
  if (step == backToNet) {
    // first get back to NIC
    if (system->nodes[NET].count) {
      int startNetIndex;
      NCCLCHECK(getNetIndex(system, graph->inter[graph->nChannels*2], &startNetIndex));
      struct ncclTopoNode* startNet = system->nodes[NET].nodes+startNetIndex;
      int netcount;
      int* nets;
      NCCLCHECK(ncclCalloc(&nets, system->nodes[NET].count));
      NCCLCHECK(ncclTopoSelectNets(system, graph->typeInter, g, nets, &netcount));
      for (int i=0; i<netcount; i++) {
        int n = nets[i];
        struct ncclTopoNode* net = system->nodes[NET].nodes+n;
        if (graph->pattern == NCCL_TOPO_PATTERN_TREE && net->id != startNet->id) continue; // Trees are symmetric
        if (graph->crossNic != 1 && (net->net.asic != startNet->net.asic || net->net.port != startNet->net.port)) continue;

        // Balanced Tree : count half of the bandwidth on first two GPUs
        int nextBackToNet = -1;
        float bwInterSave = graph->bwInter;
        if (graph->pattern == NCCL_TOPO_PATTERN_BALANCED_TREE) {
          // Count half of the bandwidth on each of the first two GPUs
          if (step == 0) nextBackToNet = 1;
          else if (net->id != graph->inter[graph->nChannels*2+1]) continue;
          graph->bwInter /= 2;
        }

        NCCLCHECK(ncclTopoFollowPath(system, graph, GPU, g, NET, n, 1, &net));
        graph->bwInter = bwInterSave;
        if (net) {
          graph->inter[graph->nChannels*2+1] = net->id;
          NCCLCHECK(ncclTopoSearchRecGpu(system, graph, saveGraph, gpu, step, nextBackToNet, backToFirstRank, forcedOrder, time));

          if (graph->pattern == NCCL_TOPO_PATTERN_BALANCED_TREE) graph->bwInter /= 2;
          NCCLCHECK(ncclTopoFollowPath(system, graph, GPU, g, NET, n, -1, &net));
          graph->bwInter = bwInterSave;
        }
      }
      free(nets);
    }
  } else if (graph->pattern == NCCL_TOPO_PATTERN_NVLS) {
    NCCLCHECK(ncclTopoSearchTryNvls(system, graph, saveGraph, g, ngpus, time));
  } else if (step < system->nodes[GPU].count-1) {
    // Go to next GPU
    int next[NCCL_TOPO_MAX_NODES];
    int count;
    if (forcedOrder == FORCED_ORDER_PCI) { // Try the PCI order
      next[0] = step+1;
      count = 1;
    } else if (forcedOrder == FORCED_ORDER_REPLAY) { // Try last channel order
      NCCLCHECK(ncclTopoReplayGetGpu(system, graph, step, next));
      count = 1;
    } else { // Normal search
      NCCLCHECK(ncclTopoSearchNextGpuSort(system, graph, gpu, next, &count, backToNet == -1 ? 0 : backToNet == step+1 ? 1 : -1 ));
    }
    for (int i=0; i<count; i++) {
      NCCLCHECK(ncclTopoSearchTryGpu(system, graph, saveGraph, step+1, backToNet, backToFirstRank, forcedOrder, time, GPU, g, next[i]));
    }
  } else if (step == backToFirstRank) {
    // Find first GPU and loop back to it
    int p;
    NCCLCHECK(getGpuIndex(system, graph->intra[graph->nChannels*ngpus], &p));
    struct ncclTopoNode* firstGpu;
    NCCLCHECK(ncclTopoFollowPath(system, graph, GPU, g, GPU, p, 1, &firstGpu));
    if (firstGpu) {
      NCCLCHECK(ncclTopoSearchRecGpu(system, graph, saveGraph, firstGpu, step+1, backToNet, -1, forcedOrder, time));
      NCCLCHECK(ncclTopoFollowPath(system, graph, GPU, g, GPU, p, -1, &firstGpu));
    }
  } else {
    // Next path
    NCCLCHECK(ncclTopoSearchRecGpu(system, graph, saveGraph, gpu, ngpus, -1, -1, forcedOrder, time));
  }
  return ncclSuccess;
}

ncclResult_t ncclTopoSearchRecNet(struct ncclTopoSystem* system, struct ncclTopoGraph* graph, struct ncclTopoGraph* saveGraph, int backToNet, int backToFirstRank, int* time) {
  const int bw = graph->bwInter;
  int* nets;
  NCCLCHECK(ncclCalloc(&nets, system->nodes[NET].count));
  int netcount;
  NCCLCHECK(ncclTopoSelectNets(system, graph->typeInter, -1, nets, &netcount));
  for (int i=0; i<netcount; i++) {
    int n = nets[i];
    struct ncclTopoNode* net = system->nodes[NET].nodes+n;
    struct ncclTopoNode* gpu;
    if (graph->collNet && net->net.collSupport == 0) continue;
    if (net->net.bw < bw) continue;

    graph->inter[graph->nChannels*2] = net->id;
    graph->latencyInter = net->net.latency;

    for (int i=0; i<system->nodes[NET].count; i++) {
      if ((system->nodes[NET].nodes[i].net.asic == net->net.asic) &&
          (system->nodes[NET].nodes[i].net.port == net->net.port)) {
        system->nodes[NET].nodes[i].net.bw -= bw;
      }
    }

    // NVLS needs to balance on all NICs
    if (graph->pattern == NCCL_TOPO_PATTERN_NVLS) {
      NCCLCHECK(ncclTopoSearchTryGpu(system, graph, saveGraph, 0, backToNet, backToFirstRank, 0, time, -1, -1, nets[graph->nChannels]));
    } else {
      if (graph->nChannels > 0) {
        // Try to replay the last channel
        int g;
        NCCLCHECK(ncclTopoReplayGetGpu(system, graph, -1, &g));
        NCCLCHECK(ncclTopoSearchTryGpu(system, graph, saveGraph, 0, backToNet, backToFirstRank, FORCED_ORDER_REPLAY, time, NET, n, g));
      }
      if (graph->nChannels == 0 || graph->sameChannels == 0) {
        if (graph->nChannels == 0) {
          // Always try the PCI order first to set a reference, but don't count in the timeout nor let it run for long
          struct ncclTopoLinkList* paths = net->paths[GPU];
          int f = 0, f_gdr = 0;
          // find the first GPU that is closest to NIC
          for (int i = 0; i<system->nodes[GPU].count; i++) {
            if (paths[i].count <= paths[f].count) {
              // prefer GPU direct RDMA
              int gdr;
              NCCLCHECK(ncclTopoCheckGdr(system, system->nodes[GPU].nodes[i].id, net->id, 0, &gdr));
              if (paths[i].count < paths[f].count || (paths[i].count == paths[f].count && !f_gdr && gdr)) {
                f = i;
                f_gdr = gdr;
              }
            }
          }
          int t = 1 << 10;
          NCCLCHECK(ncclTopoSearchTryGpu(system, graph, saveGraph, 0, backToNet, backToFirstRank, FORCED_ORDER_PCI, &t, NET, n, 0));
          if (t == -1) *time = -1;
        }

        // Then try the most local GPUs
        float maxBw = 0;
        int minHops = 0xfffffff;
        struct ncclTopoLinkList* paths = net->paths[GPU];
        for (int g=0; g<system->nodes[GPU].count; g++) {
          if (paths[g].bw > maxBw) {
            maxBw = paths[g].bw;
            minHops = paths[g].count;
          } else if (paths[g].bw == maxBw && paths[g].count < minHops) {
            minHops = paths[g].count;
          }
        }
        if (maxBw >= bw) {
          // In the first loop, avoid using GPUs in both directions between channels (one channel
          // sending from that GPU and one channel receiving to that GPU), since that usually leads
          // to lower BW.
          for (int tryGpuBidir=0; tryGpuBidir<2; tryGpuBidir++) {
            for (int g=0; g<system->nodes[GPU].count; g++) {
              if (paths[g].bw == maxBw && paths[g].count == minHops) {
                gpu = system->nodes[GPU].nodes+g;
                int gpuUsed = gpuPciBw(gpu) > 0 ? 0 : 1;
                if (tryGpuBidir == gpuUsed) {
                  NCCLCHECK(ncclTopoSearchTryGpu(system, graph, saveGraph, 0, backToNet, backToFirstRank, 0, time, NET, n, g));
                }
              }
            }
          }
        }
      }
    }

    for (int i=0; i<system->nodes[NET].count; i++) {
      if ((system->nodes[NET].nodes[i].net.asic == net->net.asic) &&
          (system->nodes[NET].nodes[i].net.port == net->net.port)) {
        system->nodes[NET].nodes[i].net.bw += bw;
      }
    }
  }
  free(nets);
  return ncclSuccess;
}

/* Search Patterns
 *
 *     Intra-node
 * Ring            : GPU a -> GPU b -> .. -> GPU x -> GPU a
 * (=Split Tree Loop)
 * Tree            : GPU a -> GPU b -> .. -> GPU x
 * (=Split Tree)
 *
 *     Inter-node
 * Ring            : NET n -> GPU a -> GPU b -> .. -> GPU x -> NET n (or m if crossNic)
 * Tree            : NET n -> GPU a -> GPU b -> .. -> GPU x
 *                              `--> NET n (or m if crossNic)
 * Split Tree      : NET n -> GPU a -> GPU b -> .. -> GPU x
 *                                       `--> NET n (or m if crossNic)
 * Split Tree Loop : NET n -> GPU a -> GPU b -> .. -> GPU x -> GPU a
 *                                       `--> NET n (or m if crossNic)
 */
ncclResult_t ncclTopoSearchParams(struct ncclTopoSystem* system, int pattern, int* backToNet, int* backToFirstRank) {
  if (system->nodes[NET].count && system->nodes[GPU].count != system->nRanks) {
    if (pattern == NCCL_TOPO_PATTERN_RING) *backToNet = system->nodes[GPU].count-1;
    else if (pattern == NCCL_TOPO_PATTERN_SPLIT_TREE) *backToNet = 1;
    else *backToNet = 0;
    *backToFirstRank = -1;
  } else {
    *backToNet = -1;
    if (pattern == NCCL_TOPO_PATTERN_RING) *backToFirstRank = system->nodes[GPU].count-1;
    else *backToFirstRank = -1;
  }
  return ncclSuccess;
}

ncclResult_t ncclTopoSearchRec(struct ncclTopoSystem* system, struct ncclTopoGraph* graph, struct ncclTopoGraph* saveGraph, int* time) {
  int backToNet, backToFirstRank;
  NCCLCHECK(ncclTopoSearchParams(system, graph->pattern, &backToNet, &backToFirstRank));
  if (system->nodes[NET].count && system->nodes[GPU].count != system->nRanks) {
    // Start from NET
    ncclTopoSearchRecNet(system, graph, saveGraph, backToNet, backToFirstRank, time);
  } else {
    // Intra-node only.
    if (graph->pattern == NCCL_TOPO_PATTERN_NVLS) {
      NCCLCHECK(ncclTopoSearchTryGpu(system, graph, saveGraph, 0, backToNet, backToFirstRank, 0, time, -1, -1, graph->nChannels));
      return ncclSuccess;
    } else if (graph->nChannels == 0) {
      // Try PCI order first
      NCCLCHECK(ncclTopoSearchTryGpu(system, graph, saveGraph, 0, backToNet, backToFirstRank, FORCED_ORDER_PCI, time, -1, -1, 0));
    } else {
      // Also try to replay previous channel
      int g;
      NCCLCHECK(ncclTopoReplayGetGpu(system, graph, -1, &g));
      NCCLCHECK(ncclTopoSearchTryGpu(system, graph, saveGraph, 0, backToNet, backToFirstRank, FORCED_ORDER_REPLAY, time, -1, -1, g));
    }
    if (graph->sameChannels == 0 || graph->nChannels == 0) {
      // Finally, try all other possibilities unless we are forced to use the same channels
      for (int g=0; g<system->nodes[GPU].count; g++) {
        NCCLCHECK(ncclTopoSearchTryGpu(system, graph, saveGraph, 0, backToNet, backToFirstRank, 0, time, -1, -1, g));
      }
    }
  }
  return ncclSuccess;
}

/************************************/
/* User defined graph from XML file */
/************************************/

struct kvDict kvDictLinkType[] = {
  { "LOC", PATH_LOC },
  { "NVL", PATH_NVL },
  { "NVB", PATH_NVB },
  { "PIX", PATH_PIX },
  { "PXB", PATH_PXB },
  { "PXN", PATH_PXN },
  { "PHB", PATH_PHB },
  { "SYS", PATH_SYS },
  { NULL, 0 }
};

ncclResult_t ncclTopoGetChannelFromXml(struct ncclXmlNode *xmlChannel, int c, struct ncclTopoSystem* system, struct ncclTopoGraph* graph) {
  int ngpus = system->nodes[GPU].count;
  int* inter = graph->inter+2*c;
  int* intra = graph->intra+ngpus*c;
  int n=0, g=0;
  for (int s=0; s<xmlChannel->nSubs; s++) {
    struct ncclXmlNode* sub = xmlChannel->subs[s];
    int dev;
    NCCLCHECK(xmlGetAttrInt(sub, "dev", &dev));
    if (strcmp(sub->name, "net") == 0) {
      inter[n++] = dev;
    } else if (strcmp(sub->name, "gpu") == 0) {
      int rank = -1;
      for (int g=0; g<ngpus; g++) {
        if (system->nodes[GPU].nodes[g].gpu.dev == dev) rank = system->nodes[GPU].nodes[g].gpu.rank;
      }
      if (rank == -1) {
        WARN("XML Import Channel : dev %d not found.", dev);
        return ncclSystemError;
      }
      intra[g++] = rank;
    }
  }
  return ncclSuccess;
}
ncclResult_t ncclTopoGetGraphFromXmlSub(struct ncclXmlNode *xmlGraph, struct ncclTopoSystem* system, struct ncclTopoGraph* graph, int* nChannels) {
  int id;
  NCCLCHECK(xmlGetAttrInt(xmlGraph, "id", &id));
  if (graph->id != id) return ncclSuccess;

  int crossNic;
  NCCLCHECK(xmlGetAttrInt(xmlGraph, "crossnic", &crossNic));
  if (ncclParamCrossNic() == 0 && crossNic == 1) return ncclSuccess;
  graph->crossNic = crossNic;

  NCCLCHECK(xmlGetAttrInt(xmlGraph, "pattern", &graph->pattern));
  NCCLCHECK(xmlGetAttrInt(xmlGraph, "nchannels", &graph->nChannels));
  NCCLCHECK(xmlGetAttrFloat(xmlGraph, "speedintra", &graph->bwIntra));
  NCCLCHECK(xmlGetAttrFloat(xmlGraph, "speedinter", &graph->bwInter));
  if (xmlGetAttrFloat(xmlGraph, "latencyinter", &graph->latencyInter) != ncclSuccess) graph->latencyInter = 0.0;
  const char* str;
  NCCLCHECK(xmlGetAttr(xmlGraph, "typeintra", &str));
  NCCLCHECK(kvConvertToInt(str, &graph->typeIntra, kvDictLinkType));
  NCCLCHECK(xmlGetAttr(xmlGraph, "typeinter", &str));
  NCCLCHECK(kvConvertToInt(str, &graph->typeInter, kvDictLinkType));
  NCCLCHECK(xmlGetAttrInt(xmlGraph, "samechannels", &graph->sameChannels));
  for (int s=0; s<xmlGraph->nSubs; s++) {
    NCCLCHECK(ncclTopoGetChannelFromXml(xmlGraph->subs[s], s, system, graph));
  }
  *nChannels = xmlGraph->nSubs;
  return ncclSuccess;
}
ncclResult_t ncclTopoGetGraphFromXml(struct ncclXmlNode *xmlGraphs, struct ncclTopoSystem* system, struct ncclTopoGraph* graph, int* nChannels) {
  for (int s=0; s<xmlGraphs->nSubs; s++) {
    NCCLCHECK(ncclTopoGetGraphFromXmlSub(xmlGraphs->subs[s], system, graph, nChannels));
  }
  return ncclSuccess;
}

/* And the reverse : graph->xml */
ncclResult_t ncclTopoGetXmlFromChannel(struct ncclTopoGraph* graph, int c, struct ncclTopoSystem* system, struct ncclXml *xml, struct ncclXmlNode* parent) {
  struct ncclXmlNode* xmlChannel;
  int ngpus = system->nodes[GPU].count;
  int* inter = graph->inter+2*c;
  int* intra = graph->intra+ngpus*c;
  NCCLCHECK(xmlAddNode(xml, parent, "channel", &xmlChannel));
  struct ncclXmlNode* node;
  if (system->nodes[NET].count) {
    NCCLCHECK(xmlAddNode(xml, xmlChannel, "net", &node));
    NCCLCHECK(xmlSetAttrInt(node, "dev", inter[0]));
  }
  for (int g=0; g<ngpus; g++) {
    NCCLCHECK(xmlAddNode(xml, xmlChannel, "gpu", &node));
    int dev = -1;
    for (int i=0; i<ngpus; i++) {
      if (system->nodes[GPU].nodes[i].gpu.rank == intra[g]) dev = system->nodes[GPU].nodes[i].gpu.dev;
    }
    if (dev == -1) {
      WARN("XML Export Channel : rank %d not found.", intra[g]);
      return ncclInternalError;
    }
    NCCLCHECK(xmlSetAttrInt(node, "dev", dev));
  }
  if (system->nodes[NET].count) {
    NCCLCHECK(xmlAddNode(xml, xmlChannel, "net", &node));
    NCCLCHECK(xmlSetAttrInt(node, "dev", inter[1]));
  }
  return ncclSuccess;
}
ncclResult_t ncclTopoGetXmlFromGraph(struct ncclTopoGraph* graph, struct ncclTopoSystem* system, struct ncclXml *xml, struct ncclXmlNode* parent) {
  struct ncclXmlNode* xmlGraph;
  NCCLCHECK(xmlAddNode(xml, parent, "graph", &xmlGraph));
  NCCLCHECK(xmlSetAttrInt(xmlGraph, "id", graph->id));
  NCCLCHECK(xmlSetAttrInt(xmlGraph, "pattern", graph->pattern));
  NCCLCHECK(xmlSetAttrInt(xmlGraph, "crossnic", graph->crossNic));
  NCCLCHECK(xmlSetAttrInt(xmlGraph, "nchannels", graph->nChannels));
  NCCLCHECK(xmlSetAttrFloat(xmlGraph, "speedintra", graph->bwIntra));
  NCCLCHECK(xmlSetAttrFloat(xmlGraph, "speedinter", graph->bwInter));
  NCCLCHECK(xmlSetAttrFloat(xmlGraph, "latencyinter", graph->latencyInter));
  const char* str;
  NCCLCHECK(kvConvertToStr(graph->typeIntra, &str, kvDictLinkType));
  NCCLCHECK(xmlSetAttr(xmlGraph, "typeintra", str));
  NCCLCHECK(kvConvertToStr(graph->typeInter, &str, kvDictLinkType));
  NCCLCHECK(xmlSetAttr(xmlGraph, "typeinter", str));
  NCCLCHECK(xmlSetAttrInt(xmlGraph, "samechannels", graph->sameChannels));
  for (int c=0; c<graph->nChannels; c++) {
    NCCLCHECK(ncclTopoGetXmlFromChannel(graph, c, system, xml, xmlGraph));
  }
  return ncclSuccess;
}
ncclResult_t ncclTopoGetXmlFromGraphs(int ngraphs, struct ncclTopoGraph** graphs, struct ncclTopoSystem* system, struct ncclXml *xml) {
  xml->maxIndex = 0;
  struct ncclXmlNode* xmlGraphs;
  NCCLCHECK(xmlAddNode(xml, NULL, "graphs", &xmlGraphs));
  NCCLCHECK(xmlSetAttrInt(xmlGraphs, "version", NCCL_GRAPH_XML_VERSION));
  for (int g=0; g<ngraphs; g++) {
    NCCLCHECK(ncclTopoGetXmlFromGraph(graphs[g], system, xml, xmlGraphs));
  }
  return ncclSuccess;
}

#if defined(__HIP_PLATFORM_HCC__) || defined(__HCC__) || defined(__HIPCC__)
float speedArrayIntra[] = { 48.0, 24.0, 20.0, 18.0, 15.0, 12.0, 10.0, 9.0, 7.0, 6.0, 5.0, 4.0, 3.0, 2.4, 1.2, 0.24, 0.12 };
float speedArrayInter[] = { 48.0, 24.0, 20.0, 18.0, 15.0, 12.0, 10.0, 9.0, 7.0, 6.0, 5.0, 4.0, 3.0, 2.4, 1.2, 0.24, 0.12 };
#define NSPEEDSINTRA (sizeof(speedArrayIntra)/sizeof(float))
#define NSPEEDSINTER (sizeof(speedArrayInter)/sizeof(float))
#else
float speedArrayIntra[] = { 40.0, 30.0, 20.0, 18.0, 15.0, 12.0, 10.0, 9.0, 7.0, 6.0, 5.0, 4.0, 3.0 };
float speedArrayInter[] = { 48.0, 30.0, 28.0, 24.0, 20.0, 18.0, 15.0, 12.0, 10.0, 9.0, 7.0, 6.0, 5.0, 4.0, 3.0, 2.4, 1.2, 0.24, 0.12 };
#define NSPEEDSINTRA (sizeof(speedArrayIntra)/sizeof(float))
#define NSPEEDSINTER (sizeof(speedArrayInter)/sizeof(float))

float sm90SpeedArrayIntra[] = { 60.0, 40.0, 30.0, 24.0, 20.0, 15.0, 12.0, 6.0, 3.0 };
float sm90SpeedArrayInter[] = { 48.0, 45.0, 42.0, 40.0, 30.0, 24.0, 20.0, 17.5, 15.0, 12.0, 6.0, 3.0, 2.4, 1.2, 0.24, 0.12 };
#define NSPEEDSINTRA_SM90 (sizeof(sm90SpeedArrayIntra)/sizeof(float))
#define NSPEEDSINTER_SM90 (sizeof(sm90SpeedArrayInter)/sizeof(float))
#endif

RCCL_PARAM(ModelMatchingDisable, "MODEL_MATCHING_DISABLE", 0);
RCCL_PARAM(NChannels, "NCHANNELS", 0);
ncclResult_t ncclTopoCompute(ncclTopoSystem* system, struct ncclTopoGraph* graph) {
  int ngpus = system->nodes[GPU].count;
  graph->crossNic = ncclParamCrossNic();
  int crossNic = (system->nodes[NET].count > 1) && graph->crossNic &&
	 (graph->pattern == NCCL_TOPO_PATTERN_RING ||
	  graph->pattern == NCCL_TOPO_PATTERN_BALANCED_TREE ||
	  graph->pattern == NCCL_TOPO_PATTERN_SPLIT_TREE) ? 1 : 0;
  graph->bwIntra = graph->bwInter = 0;
  graph->latencyInter = 0;
  if (graph->crossNic == 2) graph->crossNic = 0;
  graph->typeIntra = ngpus == 1 ? PATH_LOC : PATH_NVL;
  graph->typeInter = PATH_PIX;
  graph->nChannels = 0;
  graph->nIntraChannels = 0;
  memset(graph->intraNets, 0, MAXCHANNELS*NCCL_TOPO_MAX_NODES*2*sizeof(int));
  int trySameChannels = graph->pattern == NCCL_TOPO_PATTERN_NVLS ? 0 : 1;
  graph->sameChannels = trySameChannels;

  char* str = getenv("NCCL_GRAPH_FILE");
  if (str) {
    INFO(NCCL_ENV, "NCCL_GRAPH_FILE set by environment to %s", str);
    struct ncclXml* xml;
    NCCLCHECK(ncclCalloc(&xml, 1));
    NCCLCHECK(ncclTopoGetXmlGraphFromFile(str, xml));
    int nChannels;
    NCCLCHECK(ncclTopoGetGraphFromXml(xml->nodes, system, graph, &nChannels));
    INFO(NCCL_GRAPH, "Search %d : %d channels loaded from XML graph", graph->id, nChannels);
    free(xml);
    if (graph->nChannels > 0) return ncclSuccess;
  }

  str = getenv("NCCL_RINGS");
  char* strTrees = getenv("RCCL_TREES");

  if (str || strTrees) {
    // user supplied topo
    if (strTrees) {
      NCCLCHECK(parseGraphLight(strTrees, system, graph, NULL));
      system->treeDefined=true;
    } else {
      NCCLCHECK(parseGraph(str, system, graph, NULL, NULL));
      int arch, vendor, model;
      NCCLCHECK(ncclTopoCpuType(system, &arch, &vendor, &model));
      if (graph->nChannels && arch == NCCL_TOPO_CPU_ARCH_X86 && vendor == NCCL_TOPO_CPU_VENDOR_AMD && model == NCCL_TOPO_CPU_TYPE_ROME) {
        system->type |= RCCL_TOPO_4P2H_ROME;
      }
    }
  } else if (!rcclParamModelMatchingDisable() && !graph->collNet) {
    // try to match 8P6L
    NCCLCHECK(parseChordalRing(system, graph));
    if (graph->nChannels) return ncclSuccess;
    // try to match Rome 4P2H
    NCCLCHECK(parseRome4P2H(system, graph));
    if (graph->nChannels) return ncclSuccess;
    // try to match 1H16P
    NCCLCHECK(parse1H16P(system, graph));
    if (graph->nChannels) return ncclSuccess;
    // try to match 4H4P
    NCCLCHECK(parse4H4P(system, graph));
  }
  if (graph->nChannels) return ncclSuccess;

  if ((graph->pattern == NCCL_TOPO_PATTERN_RING) && (system->type & RCCL_TOPO_4P2H_ROME) && (ngpus == system->nRanks)) {
    // limit single node max channels when searching ring graph on Rome
    graph->maxChannels = 2;
  }
  if (ngpus == 1) if (graph->pattern != NCCL_TOPO_PATTERN_RING) graph->pattern = NCCL_TOPO_PATTERN_TREE;

  int ccMin;
  NCCLCHECK(ncclTopoGetCompCap(system, &ccMin, NULL));
  if (graph->pattern == NCCL_TOPO_PATTERN_NVLS && (system->nodes[NVS].count == 0 || ccMin < 90)) return ncclSuccess;

  if (ngpus == 1) if (graph->pattern != NCCL_TOPO_PATTERN_RING) graph->pattern = NCCL_TOPO_PATTERN_TREE;

  if (system->nodes[NET].count == 0 && graph->pattern == NCCL_TOPO_PATTERN_NVLS) {
    // Force intra-node NVLS algorithm to pull evenly from all GPUs.
    graph->minChannels = graph->maxChannels = system->nodes[GPU].count;
  }

  struct ncclTopoGraph tmpGraph;
  memcpy(&tmpGraph, graph, sizeof(struct ncclTopoGraph));

  // First try crossnic, then decrease bw and finally increase bwIntra.
  int nspeeds = 0;
  float* speedArray = NULL;
  if (system->nodes[NET].count == 0) {
    nspeeds = NSPEEDSINTRA;
    speedArray = speedArrayIntra;
  } else {
    nspeeds = NSPEEDSINTER;
    speedArray = speedArrayInter;
  }
  int pass = 1;
  int speedIndex = 0;
  float maxBw = system->maxBw;
  float totalBw = system->totalBw;
  if (ngpus == 1 || graph->pattern != NCCL_TOPO_PATTERN_RING) totalBw *= ngpus*1.0/(ngpus-1);
  while ((speedArray[speedIndex] > maxBw || speedArray[speedIndex]*graph->minChannels > totalBw) && speedIndex < nspeeds-1) speedIndex++;
  tmpGraph.bwIntra = tmpGraph.bwInter = speedArray[speedIndex];
  int64_t globalTimeout = NCCL_SEARCH_GLOBAL_TIMEOUT;

search:
  int time = tmpGraph.sameChannels ? NCCL_SEARCH_TIMEOUT_SAMECHANNELS :
    tmpGraph.pattern == NCCL_TOPO_PATTERN_TREE ? NCCL_SEARCH_TIMEOUT_TREE : NCCL_SEARCH_TIMEOUT;
  tmpGraph.nChannels = 0;
  globalTimeout -= time;

  NCCLCHECK(ncclTopoSearchRec(system, &tmpGraph, graph, &time));
#if 0
  printf("Pattern %d, crossNic %d, Bw %g/%g, type %d/%d, channels %d-%d sameChannels %d -> nChannels %dx%g/%g %s\n", tmpGraph.pattern, tmpGraph.crossNic, tmpGraph.bwInter, tmpGraph.bwIntra, tmpGraph.typeInter, tmpGraph.typeIntra, tmpGraph.minChannels, tmpGraph.maxChannels, tmpGraph.sameChannels, graph->nChannels, graph->bwInter, graph->bwIntra, time == 0 ? "TIMEOUT" : time == -1 ? "PERFECT" : "");
  for (int c=0; c<graph->nChannels; c++) {
    printf("%2d : ", c);
    for (int g=0; g<ngpus; g++) {
      printf("%d ", graph->intra[c*ngpus+g]);
    }
    printf("[%d %d]", graph->inter[c*2+0], graph->inter[c*2+1]);
    printf("\n");
  }
#endif
  // Optimal solution, stop here
  if (time == -1) goto done;
  if (graph->nChannels*graph->bwInter >= system->totalBw) goto done;

  if (pass == 1) {
    // First pass, we don't have a solution yet ; try other options

    // Try having different channels
    if (tmpGraph.sameChannels == 1) {
      tmpGraph.sameChannels = 0;
      goto search;
    }
    tmpGraph.sameChannels = trySameChannels;

    if (time != -1) globalTimeout += time;
    else globalTimeout = NCCL_SEARCH_GLOBAL_TIMEOUT;
    if (globalTimeout < 0 && graph->nChannels) goto done;

    // Try a simpler tree
    if (ccMin >= 90 && tmpGraph.pattern == NCCL_TOPO_PATTERN_BALANCED_TREE) {
      tmpGraph.pattern = NCCL_TOPO_PATTERN_TREE;
      goto search;
    }
    tmpGraph.pattern = graph->pattern;

    int maxTypeIntra = system->nodes[NET].count > 0 ? tmpGraph.typeInter : PATH_SYS;
    if (tmpGraph.typeIntra < maxTypeIntra && (graph->nChannels == 0 || tmpGraph.typeIntra < graph->typeIntra)) {
      tmpGraph.typeIntra += 1;
      goto search;
    }
    tmpGraph.typeIntra = ngpus == 1 ? PATH_LOC : PATH_NVL;

    if (system->nodes[NET].count > 0 && tmpGraph.typeInter < PATH_SYS && (graph->nChannels == 0 || tmpGraph.typeInter < graph->typeInter || tmpGraph.typeInter < PATH_PXN)) {
      tmpGraph.typeInter += 1;
      goto search;
    }
    tmpGraph.typeInter = PATH_PIX;

    if (crossNic && tmpGraph.crossNic == 0) {
      // Try again with crossNic if permitted
      tmpGraph.crossNic = crossNic;
      goto search;
    }
    tmpGraph.crossNic = 0;

    // Decrease bw until we find a solution
    if ((speedIndex < nspeeds-1) && (graph->nChannels == 0 || (speedArray[speedIndex+1]/graph->bwInter > .49))) {
      tmpGraph.bwInter = tmpGraph.bwIntra = speedArray[++speedIndex];
      goto search;
    }
    speedIndex = 0;
    while (speedArray[speedIndex] > maxBw && speedIndex < nspeeds-1) speedIndex++;
    tmpGraph.bwIntra = tmpGraph.bwInter = speedArray[speedIndex];

  }

done:
  // We have a solution. Start from that solution and move to pass 2.
  if (pass == 1) {
    time = -1;
    memcpy(&tmpGraph, graph, sizeof(tmpGraph));
    speedIndex = 0;
    while (speedArray[speedIndex] > graph->bwInter && speedIndex < nspeeds-1) speedIndex++;
    tmpGraph.bwIntra = tmpGraph.bwInter = speedArray[speedIndex];
    tmpGraph.minChannels = graph->nChannels;
    pass = 2;
  }

  // 3. See if we can increase bwIntra for trees (2 nodes or collnet)
  if (pass == 2) {
    if (time != 0 && graph->pattern != NCCL_TOPO_PATTERN_RING &&
        tmpGraph.bwIntra == graph->bwIntra && tmpGraph.bwIntra < tmpGraph.bwInter*2 &&
        speedIndex > 0) {
      tmpGraph.bwIntra = speedArray[--speedIndex];
      goto search;
    }
    time = -1;
    memcpy(&tmpGraph, graph, sizeof(tmpGraph));
  }

  if (graph->nChannels == 0 && graph->collNet == 0 && graph->pattern != NCCL_TOPO_PATTERN_NVLS) {
    WARN("Could not find a path for pattern %d, falling back to simple order", graph->pattern);
    for (int i=0; i<ngpus; i++) graph->intra[i] = system->nodes[GPU].nodes[i].gpu.rank;
    graph->inter[0] = graph->inter[1] = 0;
    graph->bwIntra = graph->bwInter = 0.1;
    graph->typeIntra = graph->typeInter = PATH_SYS;
    graph->nChannels = 1;
  }

  if (graph->nChannels == 0) return ncclSuccess;
  if (graph->pattern == NCCL_TOPO_PATTERN_NVLS) return ncclSuccess;
  if (graph->bwIntra < 25.0) return ncclSuccess;
  if (ccMin > 80 && graph->bwIntra < 50.0 && graph->nChannels > 4) return ncclSuccess;

  int dupChannels = std::min(graph->nChannels*2, graph->maxChannels);
  memcpy(graph->intra+graph->nChannels*ngpus, graph->intra, (dupChannels-graph->nChannels)*ngpus*sizeof(int));
  memcpy(graph->inter+graph->nChannels*2,graph->inter, (dupChannels-graph->nChannels)*2*sizeof(int));
  graph->bwIntra /= DIVUP(dupChannels, graph->nChannels);
  graph->bwInter /= DIVUP(dupChannels, graph->nChannels);
  graph->nChannels = dupChannels;

  int nc = rcclParamNChannels();
  if (graph->nChannels > 0 && nc > 0 && nc <= MAXCHANNELS/2 && nc > graph->nChannels) {
    int nChannels = nc - graph->nChannels;
    int nnets = system->nodes[NET].count;
    if (nnets <= 2) {
      for (int i = 0; i < nChannels; ++i) {
        memcpy(graph->intra+graph->nChannels*ngpus, graph->intra, ngpus*sizeof(int));
        memcpy(graph->inter+graph->nChannels*2, graph->inter, 2*sizeof(int));
        memcpy(graph->intraNets+graph->nChannels*ngpus*2, graph->intraNets, 2*ngpus*sizeof(int));
        graph->nChannels++;
      }
    } else {
      typedef struct {
        int id;
        int used;
      } Net;
      Net nets[nnets];
      auto sortFunc = [](const void* a, const void* b)->int {
          return ((Net*)a)->used - ((Net*)b)->used;
      };
      memset(nets, 0, nnets*sizeof(Net));
      for (int i = 0; i < nnets; ++i) {
        nets[i].id = system->nodes[NET].nodes[i].id;
      }
      for (int i = 0; i < graph->nChannels; ++i) {
        for (int j = 0; j < nnets; ++j) {
          if (nets[j].id == *(graph->inter+i*2) || nets[j].id == *(graph->inter+i*2+1)) {
            nets[j].used++;
          }
        }
      }
      for (int i = 0; i < nChannels; ++i) {
        memcpy(graph->intra+graph->nChannels*ngpus, graph->intra, ngpus*sizeof(int));
        qsort(nets, nnets, sizeof(Net), sortFunc);
        *(graph->inter+graph->nChannels*2) = nets[0].id;
        nets[0].used++;
        qsort(nets, nnets, sizeof(Net),sortFunc);
        if (graph->crossNic == 0 || graph->crossNic == 2) {
          *(graph->inter+graph->nChannels*2+1) = nets[0].id;
          nets[0].used++;
          qsort(nets, nnets, sizeof(Net), sortFunc);
        } else {
          nets[0].used++; 
          qsort(nets, nnets, sizeof(Net), sortFunc);
          *(graph->inter+graph->nChannels*2+1) = nets[0].id;
        }
        nets[0].used++;
        memcpy(graph->intraNets+graph->nChannels*ngpus*2, graph->intraNets, 2*ngpus*sizeof(int));
        graph->nChannels++;
      }
    }
    graph->bwIntra /= DIVUP(nc, graph->nChannels);
    graph->bwInter /= DIVUP(nc, graph->nChannels);
  }
  return ncclSuccess;
}

ncclResult_t ncclTopoPrintGraph(struct ncclTopoSystem* system, struct ncclTopoGraph* graph) {
  INFO(NCCL_GRAPH, "Pattern %d, crossNic %d, nChannels %d, bw %f/%f, type %s/%s, sameChannels %d", graph->pattern, graph->crossNic, graph->nChannels, graph->bwIntra, graph->bwInter, topoPathTypeStr[graph->typeIntra], topoPathTypeStr[graph->typeInter], graph->sameChannels);
  int ngpus = system->nodes[GPU].count;

  char line[1024];
  for (int c=0; c<graph->nChannels; c++) {
    sprintf(line, "%2d :", c);
    int offset = strlen(line);
    if (system->nodes[NET].count > 0 && system->nodes[GPU].count != system->nRanks && !graph->nIntraChannels) {
      sprintf(line+offset, " %s/%d", topoNodeTypeStr[NET], graph->inter[2*c]);
      offset = strlen(line);
    }
    for (int i=0; i<ngpus; i++) {
      int n = graph->intraNets[(ngpus*c+i)*2]-'N';
      if(n >= 0 && n < system->nodes[NET].count) {
        sprintf(line+offset, " NET/%d", n);
        offset = strlen(line);
      }
      sprintf(line+offset, " %s/%d", topoNodeTypeStr[GPU], graph->intra[ngpus*c+i]);
      offset = strlen(line);
      n = graph->intraNets[(ngpus*c+i)*2+1]-'N';
      if(n >= 0 && n < system->nodes[NET].count) {
        sprintf(line+offset, " NET/%d", n);
        offset = strlen(line);
      }
    }
    if (system->nodes[NET].count > 0 && system->nodes[GPU].count != system->nRanks && !graph->nIntraChannels) {
      sprintf(line+offset, " %s/%d", topoNodeTypeStr[NET], graph->inter[2*c+1]);
      offset = strlen(line);
    }
    INFO(NCCL_GRAPH, "%s", line);
  }
  return ncclSuccess;
}

ncclResult_t ncclTopoDumpGraphs(struct ncclTopoSystem* system, int ngraphs, struct ncclTopoGraph** graphs) {
  char* str = getenv("NCCL_GRAPH_DUMP_FILE");
  if (str) {
    INFO(NCCL_ENV, "NCCL_GRAPH_DUMP_FILE set by environment to %s", str);
    struct ncclXml* xml;
    NCCLCHECK(ncclCalloc(&xml, 1));
    NCCLCHECK(ncclTopoGetXmlFromGraphs(ngraphs, graphs, system, xml));
    NCCLCHECK(ncclTopoDumpXmlToFile(str, xml));
    free(xml);
  }
  return ncclSuccess;
}

#include "comm.h"
// NVLS channels aren't compute channels. Find which NIC corresponds to our rank being the head
ncclResult_t getNvlsNetDev(struct ncclComm* comm, struct ncclTopoGraph* graph, int* dev) {
  int localRanks = comm->topo->nodes[GPU].count;
  for (int c=0; c<graph->nChannels; c++) {
    if (graph->intra[c*localRanks] == comm->rank) {
      *dev = graph->inter[c*2];
      return ncclSuccess;
    }
  }
  WARN("Could not find NIC for rank %d in NVLS graph\n", comm->rank);
  return ncclInternalError;
}

// 0: don't use PXN for P2P, 1: use PXN if needed, 2: use PXN as much as possible to maximize aggregation
NCCL_PARAM(P2pPxnLevel, "P2P_PXN_LEVEL", 2);

ncclResult_t ncclTopoGetNetDev(struct ncclComm* comm, int rank, struct ncclTopoGraph* graph, int channelId, int peerRank, int* dev, int* proxyRank) {
  if (graph) {
    // Honor the net device in the graph
    int channel = channelId%graph->nChannels;
    int ngpus = comm->topo->nodes[GPU].count;
    int index = graph->intra[channel*ngpus] == rank ? 0 : 1;
    if (graph->pattern != NCCL_TOPO_PATTERN_NVLS) {
      *dev = graph->inter[channel*2+index];
    } else {
      NCCLCHECK(getNvlsNetDev(comm, graph, dev));
    }
    NCCLCHECK(ncclTopoGetIntermediateRank(comm->topo, rank, *dev, proxyRank));
  } else if (peerRank == -1) {
    return ncclInternalError;
  } else {
    // Start with our local NIC and local Rank
    NCCLCHECK(ncclTopoGetLocalNet(comm->topo, rank, channelId, dev));
    *proxyRank = rank;

    int pxnLevel = ncclPxnDisable(comm) == 1 ? 0 : ncclParamP2pPxnLevel();
    // See whether we can use the remote rank preferred device.
    if (ncclParamCrossNic() == 0 || (pxnLevel != 0)) {
      // Find local NIC number close to local cudaDev
      int cudaDev = comm->peerInfo[peerRank].cudaDev;
      int localRank;
      if (ncclTopoDevToRank(comm->topo, cudaDev, &localRank) != ncclSuccess) return ncclSuccess;
      int netDev;
      NCCLCHECK(ncclTopoGetLocalNet(comm->topo, localRank, channelId, &netDev));

      int n;
      // Check that device exists on our node
      if (ncclParamCrossNic() == 0) {
        if (ncclTopoIdToIndex(comm->topo, NET, netDev, &n) != ncclSuccess) {
          WARN("Rank %d requires NIC %d but that NIC is not available for rank %d", peerRank, netDev, rank);
          return ncclInvalidUsage;
        }
        *dev = netDev;
      }
      if (pxnLevel == 1) {
        int g, n;
        NCCLCHECK(ncclTopoRankToIndex(comm->topo, rank, &g));
        NCCLCHECK(ncclTopoIdToIndex(comm->topo, NET, netDev, &n));
        struct ncclTopoNode* gpu = comm->topo->nodes[GPU].nodes+g;
        if (gpu->paths[NET][n].type <= PATH_PXN) {
          *dev = netDev;
          NCCLCHECK(ncclTopoGetIntermediateRank(comm->topo, rank, *dev, proxyRank));
        }
      } else if (pxnLevel == 2) {
        // Check which local GPU corresponds to that NIC and see if we can use PXN.
        int n, g1, g2;
        NCCLCHECK(ncclTopoIdToIndex(comm->topo, NET, netDev, &n));
        NCCLCHECK(ncclTopoRankToIndex(comm->topo, rank, &g1));
        NCCLCHECK(ncclTopoGetLocalGpu(comm->topo, netDev, &g2));
        if (g2 != -1) {
          struct ncclTopoNode* peerGpu = comm->topo->nodes[GPU].nodes+g2;
          if (peerGpu->paths[GPU][g1].type <= PATH_NVL && peerGpu->paths[NET][n].type <= PATH_PXB) {
            *proxyRank = peerGpu->gpu.rank;
            *dev = netDev;
            return ncclSuccess;
          }
        }
      }
    }
  }
  return ncclSuccess;
}

ncclResult_t ncclTopoGetIntraNetDev(struct ncclTopoSystem* system, int rank, struct ncclTopoGraph* graph, int channelId, int type, int* dev) {
  *dev = -1;
  if (graph && graph->nIntraChannels) {
    int n1 = -1;
    int ngpus = system->nodes[GPU].count;
    int nnets = system->nodes[NET].count;
    int chan = channelId%graph->nIntraChannels;
    for (int i = 0; i < ngpus; i++) {
      if (graph->intra[ngpus*chan+i] == rank) {
        n1 = graph->intraNets[(ngpus*chan+i)*2+type]-'N';
        break;
      }
    }
    if (n1 >= 0 && n1 < nnets) {
      *dev = n1;
    }
  }
  return ncclSuccess;
}

ncclResult_t ncclTopoGetLinkType(struct ncclTopoSystem* system, int cudaDev1, int cudaDev2, bool* isXGMI, int maxInter, int nInter, int *inter) {
  int interGpus[MAX_XGMI_INTER_GPUS+1];
  int ngpus = system->nodes[GPU].count;
  *isXGMI = false;
  // check for direct XGMI connection
  for (int i=0; i<ngpus; i++) {
    if (system->nodes[GPU].nodes[i].gpu.dev == cudaDev1) {
      struct ncclTopoNode *node = system->nodes[GPU].nodes+i;
      for (int k = 0; k<system->nodes[GPU].count; k++) {
        if (node->paths[GPU][k].count == 1) {
          struct ncclTopoLink* link = node->paths[GPU][k].list[0];
          struct ncclTopoNode* remNode = link->remNode;
          if (remNode->gpu.dev == cudaDev2) {
            *isXGMI = (link->type == LINK_NVL);
            if (*isXGMI) return ncclSuccess;
          }
        }
      }
    }
  }
  // try intermediate GPUs
  if (maxInter) {
    // check if there are intermediate GPUs that are connected to both
    bool res1, res2, res3;
    int j;
    for (j=0; j<nInter; j++) {
      ncclTopoGetLinkType(system, inter[j], inter[j+1], &res1, 0);
      if (!res1) break;
    }
    if (j<nInter) return ncclSuccess;
    if (nInter > 0 && inter != nullptr) {
      ncclTopoGetLinkType(system, inter[nInter], cudaDev2, &res2, 0);
      if (res2) {
        *isXGMI = true;
        return ncclSuccess;
      }
      memcpy(interGpus+1, inter+1, sizeof(int)*nInter);
    }
    interGpus[0] = cudaDev1;
    // add one more intermediate GPU recursively util reaching max depth
    nInter++;
    if (nInter+2 > ngpus || nInter > MAX_XGMI_INTER_GPUS || nInter > maxInter) return ncclSuccess;
    for (int i=0; i<ngpus; i++) {
      int dev = system->nodes[GPU].nodes[i].gpu.dev;
      // skip duplicated GPU
      if (dev == cudaDev2) continue;
      for (j=0; j<nInter; j++)
        if (dev == interGpus[j]) break;
      if (j<nInter) continue;
      // check connectivity with intermediate GPUs
      interGpus[nInter] = dev;
      ncclTopoGetLinkType(system, cudaDev1, cudaDev2, &res3, maxInter, nInter, interGpus);
      if (res3) {
        *isXGMI = true;
        return ncclSuccess;
      }
    }
  }
  return ncclSuccess;
}