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Commit38f712d

Browse files
knizhnikkelvich
authored andcommitted
Add Bron–Kerbosch algorithm to find maximum clique in graph
1 parent8b256c1 commit38f712d

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9 files changed

+166
-89
lines changed

9 files changed

+166
-89
lines changed

‎Makefile

Lines changed: 1 addition & 1 deletion
Original file line numberDiff line numberDiff line change
@@ -1,5 +1,5 @@
11
MODULE_big = multimaster
2-
OBJS = multimaster.o arbiter.o bytebuf.o bgwpool.o pglogical_output.o pglogical_proto.o pglogical_receiver.o pglogical_apply.o pglogical_hooks.o pglogical_config.o
2+
OBJS = multimaster.o arbiter.o bytebuf.o bgwpool.o pglogical_output.o pglogical_proto.o pglogical_receiver.o pglogical_apply.o pglogical_hooks.o pglogical_config.o ddd.o bkb.o
33

44
EXTENSION = multimaster
55
DATA = multimaster--1.0.sql

‎arbiter.c

Lines changed: 7 additions & 3 deletions
Original file line numberDiff line numberDiff line change
@@ -81,7 +81,7 @@ typedef struct
8181
MtmMessageCodecode;/* Message code: MSG_READY, MSG_PREPARE, MSG_COMMIT, MSG_ABORT */
8282
intnode;/* Sender node ID */
8383
TransactionIddxid;/* Transaction ID at destination node */
84-
TransactionIdsxid;/* TransactionIO at sender node */
84+
TransactionIdsxid;/* TransactionID at sender node */
8585
csn_tcsn;/* local CSN in case of sending data from replica to master, global CSN master->replica */
8686
nodemask_tdisabledNodeMask;/* bitmask of disabled nodes at the sender of message */
8787
}MtmArbiterMessage;
@@ -353,9 +353,11 @@ static void MtmOpenConnections()
353353

354354
staticboolMtmSendToNode(intnode,voidconst*buf,intsize)
355355
{
356-
while (!MtmWriteSocket(sockets[node],buf,size)) {
356+
while (sockets[node]<0||!MtmWriteSocket(sockets[node],buf,size)) {
357357
elog(WARNING,"Arbiter failed to write socket: %d",errno);
358-
close(sockets[node]);
358+
if (sockets[node] >=0) {
359+
close(sockets[node]);
360+
}
359361
sockets[node]=MtmConnectSocket(hosts[node],MtmArbiterPort+node+1,MtmReconnectAttempts);
360362
if (sockets[node]<0) {
361363
MtmOnLostConnection(node+1);
@@ -400,6 +402,8 @@ static void MtmAcceptOneConnection()
400402
close(fd);
401403
}else {
402404
elog(NOTICE,"Arbiter established connection with node %d",msg.node);
405+
BIT_CLEAR(ds->connectivityMask,msg.node-1);
406+
MtmOnConnectNode(msg.node);
403407
MtmRegisterSocket(fd,msg.node-1);
404408
sockets[msg.node-1]=fd;
405409
}

‎bkb.c

Lines changed: 30 additions & 21 deletions
Original file line numberDiff line numberDiff line change
@@ -1,18 +1,22 @@
1+
#include"postgres.h"
2+
#include"bkb.h"
3+
14
/*
2-
* Bron–Kerbosch algorithm to find maximumclque in graph
5+
* Bron–Kerbosch algorithm to find maximumclique in graph
36
*/
47

58
typedefstruct {
69
intsize;
710
intnodes[MAX_NODES];
8-
}List;
11+
}NodeList;
912

10-
staticvoidlist_append(List*list,intn)
13+
staticvoidlist_append(NodeList*list,intn)
1114
{
12-
nodes[list->size++]=n;
15+
Assert(list->size<MAX_NODES);
16+
list->nodes[list->size++]=n;
1317
}
1418

15-
staticvoidlist_copy(List*dst,List*src)
19+
staticvoidlist_copy(NodeList*dst,NodeListconst*src)
1620
{
1721
inti;
1822
intn=src->size;
@@ -23,13 +27,15 @@ static void list_copy(List* dst, List* src)
2327
}
2428

2529

26-
staticvoidfindMaximumIndependentSet(List*cur,List*result,nodemask_t*graph,int*oldSet,intne,intce)
30+
staticvoidfindMaximumIndependentSet(NodeList*cur,NodeList*result,nodemask_t*graph,int*oldSet,intne,intce)
2731
{
2832
intnod=0;
2933
intminnod=ce;
3034
intfixp=-1;
3135
ints=-1;
32-
inti,j;
36+
inti,j,k;
37+
intnewce,newne;
38+
intsel;
3339
intnewSet[MAX_NODES];
3440

3541
for (i=0;i<ce&&minnod!=0;i++) {
@@ -39,8 +45,9 @@ static void findMaximumIndependentSet(List* cur, List* result, nodemask_t* graph
3945

4046
for (j=ne;j<ce;j++) {
4147
if (!BIT_CHECK(graph[p],oldSet[j])) {
42-
if (++cnt==minnod)
48+
if (++cnt==minnod) {
4349
break;
50+
}
4451
pos=j;
4552
}
4653
}
@@ -57,19 +64,19 @@ static void findMaximumIndependentSet(List* cur, List* result, nodemask_t* graph
5764
}
5865

5966

60-
for (intk=minnod+nod;k >=1;k--) {
61-
intsel=oldSet[s];
67+
for (k=minnod+nod;k >=1;k--) {
68+
sel=oldSet[s];
6269
oldSet[s]=oldSet[ne];
6370
oldSet[ne]=sel;
6471

65-
intnewne=0;
66-
for (inti=0;i<ne;i++) {
72+
newne=0;
73+
for (i=0;i<ne;i++) {
6774
if (BIT_CHECK(graph[sel],oldSet[i])) {
6875
newSet[newne++]=oldSet[i];
6976
}
7077
}
71-
intnewce=newne;
72-
for (inti=ne+1;i<ce;i++) {
78+
newce=newne;
79+
for (i=ne+1;i<ce;i++) {
7380
if (BIT_CHECK(graph[sel],oldSet[i])) {
7481
newSet[newce++]=oldSet[i];
7582
}
@@ -84,28 +91,30 @@ static void findMaximumIndependentSet(List* cur, List* result, nodemask_t* graph
8491
findMaximumIndependentSet(cur,result,graph,newSet,newne,newce);
8592
}
8693
}
87-
cur.size-=1;
94+
cur->size-=1;
8895
if (k>1) {
8996
for (s=++ne;BIT_CHECK(graph[fixp],oldSet[s]);s++);
9097
}
9198
}
9299
}
93100

94-
nodemask_tMtmFindMaxClique(nodemask_t*graphs,inn_nodes);
101+
nodemask_tMtmFindMaxClique(nodemask_t*graph,intn_nodes)
95102
{
96-
Listtmp;
97-
Listresult;
98-
nodemask_tmask=0;
103+
NodeListtmp;
104+
NodeListresult;
105+
nodemask_tmask;
99106
intall[MAX_NODES];
100107
inti;
108+
101109
tmp.size=0;
102110
result.size=0;
103111
for (i=0;i<n_nodes;i++) {
104-
all[i]=i;
112+
all[i]=i;
105113
}
106114
findMaximumIndependentSet(&tmp,&result,graph,all,0,n_nodes);
115+
mask=0;
107116
for (i=0;i<result.size;i++) {
108117
mask |= (nodemask_t)1 <<result.nodes[i];
109118
}
110-
return~mask;
119+
returnmask;
111120
}

‎bkb.h

Lines changed: 16 additions & 0 deletions
Original file line numberDiff line numberDiff line change
@@ -0,0 +1,16 @@
1+
/*
2+
* Bron–Kerbosch algorithm to find maximum clique in graph
3+
*/
4+
#ifndef__BKB_H__
5+
#define__BKB_H__
6+
7+
#defineMAX_NODES 64
8+
9+
typedefuint64_tnodemask_t;
10+
#defineBIT_CHECK(mask,bit) (((mask) & ((nodemask_t)1 << (bit))) != 0)
11+
#defineBIT_CLEAR(mask,bit) (mask &= ~((nodemask_t)1 << (bit)))
12+
#defineBIT_SET(mask,bit) (mask |= ((nodemask_t)1 << (bit)))
13+
14+
externnodemask_tMtmFindMaxClique(nodemask_t*matrix,intn_modes);
15+
16+
#endif

‎ddd.c

Lines changed: 19 additions & 19 deletions
Original file line numberDiff line numberDiff line change
@@ -1,6 +1,8 @@
1-
#include<stddef.h>
2-
#include<stdlib.h>
3-
#include<string.h>
1+
#include"postgres.h"
2+
#include"access/clog.h"
3+
#include"storage/lwlock.h"
4+
#include"utils/hsearch.h"
5+
46
#include"ddd.h"
57

68

@@ -11,10 +13,10 @@ void MtmGraphInit(MtmGraph* graph)
1113

1214
staticinlineMtmVertex*findVertex(MtmGraph*graph,GlobalTransactionId*gtid)
1315
{
14-
xid_th=gtid->xid %MAX_TRANSACTIONS;
16+
uint32h=gtid->xid %MAX_TRANSACTIONS;
1517
MtmVertex*v;
16-
for (v=graph->hashtable[h];v!=NULL;v=v->next) {
17-
if (v->gtid==*gtid) {
18+
for (v=graph->hashtable[h];v!=NULL;v=v->collision) {
19+
if (EQUAL_GTID(v->gtid,*gtid)) {
1820
returnv;
1921
}
2022
}
@@ -29,30 +31,28 @@ static inline MtmVertex* findVertex(MtmGraph* graph, GlobalTransactionId* gtid)
2931
voidMtmGraphAdd(MtmGraph*graph,GlobalTransactionId*gtid,intsize)
3032
{
3133
GlobalTransactionId*last=gtid+size;
32-
MtmEdge*e,*next,*edges=NULL;
3334
while (gtid!=last) {
34-
Vertex*src=findVertex(graph,gtid++);
35+
MtmVertex*src=findVertex(graph,gtid++);
3536
while (gtid->node!=0) {
36-
Vertex*dst=findVertex(graph,gtid++);
37-
e= (MtmEdge*)palloc(sizeof(MtmEdge));
38-
dst->nIncomingEdges+=1;
37+
MtmVertex*dst=findVertex(graph,gtid++);
38+
MtmEdge*e= (MtmEdge*)palloc(sizeof(MtmEdge));
3939
e->dst=dst;
4040
e->src=src;
41-
e->next=v->outgoingEdges;
42-
v->outgoingEdges=e;
41+
e->next=src->outgoingEdges;
42+
src->outgoingEdges=e;
4343
}
4444
gtid+=1;
4545
}
4646
}
4747

4848
staticboolrecursiveTraverseGraph(MtmVertex*root,MtmVertex*v)
4949
{
50-
Edge*e;
51-
v->node=VISITED_NODE_MARK;
50+
MtmEdge*e;
51+
v->gtid.node=VISITED_NODE_MARK;
5252
for (e=v->outgoingEdges;e!=NULL;e=e->next) {
5353
if (e->dst==root) {
5454
return true;
55-
}elseif (e->dst->node!=VISITED_NODE_MAR&&recursiveTraverseGraph(root,e->dst)) {/* loop */
55+
}elseif (e->dst->gtid.node!=VISITED_NODE_MARK&&recursiveTraverseGraph(root,e->dst)) {/* loop */
5656
return true;
5757
}
5858
}
@@ -61,9 +61,9 @@ static bool recursiveTraverseGraph(MtmVertex* root, MtmVertex* v)
6161

6262
boolMtmGraphFindLoop(MtmGraph*graph,GlobalTransactionId*root)
6363
{
64-
Vertex*v;
65-
for (v=graph->hashtable[root->xid %MAX_TRANSACTIONS];v!=NULL;v=v->next) {
66-
if (v->gtid==*root) {
64+
MtmVertex*v;
65+
for (v=graph->hashtable[root->xid %MAX_TRANSACTIONS];v!=NULL;v=v->collision) {
66+
if (EQUAL_GTID(v->gtid,*root)) {
6767
if (recursiveTraverseGraph(v,v)) {
6868
return true;
6969
}

‎ddd.h

Lines changed: 3 additions & 2 deletions
Original file line numberDiff line numberDiff line change
@@ -1,4 +1,5 @@
11
#ifndef__DDD_H__
2+
#define__DDD_H__
23

34
#include"multimaster.h"
45

@@ -20,8 +21,8 @@ typedef struct MtmVertex
2021

2122
typedefstructMtmGraph
2223
{
23-
MtmVertex*hashtable[MTM_MAX_TRANSACTIONS];
24-
}Graph;
24+
MtmVertex*hashtable[MAX_TRANSACTIONS];
25+
}MtmGraph;
2526

2627
externvoidMtmGraphInit(MtmGraph*graph);
2728
externvoidMtmGraphAdd(MtmGraph*graph,GlobalTransactionId*subgraph,intsize);

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