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/*************************************************************************
* *
* N A S P A R A L L E L B E N C H M A R K S 3.3 *
* *
* D T *
* *
*************************************************************************
* *
* This benchmark is part of the NAS Parallel Benchmark 3.3 suite. *
* *
* Permission to use, copy, distribute and modify this software *
* for any purpose with or without fee is hereby granted. We *
* request, however, that all derived work reference the NAS *
* Parallel Benchmarks 3.3. This software is provided "as is" *
* without express or implied warranty. *
* *
* Information on NPB 3.3, including the technical report, the *
* original specifications, source code, results and information *
* on how to submit new results, is available at: *
* *
* http: www.nas.nasa.gov/Software/NPB *
* *
* Send comments or suggestions to npb@nas.nasa.gov *
* Send bug reports to npb-bugs@nas.nasa.gov *
* *
* NAS Parallel Benchmarks Group *
* NASA Ames Research Center *
* Mail Stop: T27A-1 *
* Moffett Field, CA 94035-1000 *
* *
* E-mail: npb@nas.nasa.gov *
* Fax: (650) 604-3957 *
* *
*************************************************************************
* *
* Author: M. Frumkin * *
* *
*************************************************************************/
#include <stdlib.h>
#include <stdio.h>
#include <string.h>
#include "DGraph.h"
#include "smpi/mpi.h"
#include "nas_common.h"
#include "simgrid/instr.h" //TRACE_
int timer_on=0,timers_tot=64;
double start[64], elapsed[64];
char class;
int nprocs;
int num_samples;
int deviation;
int num_sources;
static int verify(char *bmname,double rnm2){
double verify_value=0.0;
double epsilon=1.0E-8;
int verified=-1;
if (class != 'U') {
if(class=='S') {
if(strstr(bmname,"BH")){
verify_value=30892725.0;
}else if(strstr(bmname,"WH")){
verify_value=67349758.0;
}else if(strstr(bmname,"SH")){
verify_value=58875767.0;
}else{
fprintf(stderr,"No such benchmark as %s.\n",bmname);
}
verified = 0;
}else if(class=='W') {
if(strstr(bmname,"BH")){
verify_value = 4102461.0;
}else if(strstr(bmname,"WH")){
verify_value = 204280762.0;
}else if(strstr(bmname,"SH")){
verify_value = 186944764.0;
}else{
fprintf(stderr,"No such benchmark as %s.\n",bmname);
}
verified = 0;
}else if(class=='A') {
if(strstr(bmname,"BH")){
verify_value = 17809491.0;
}else if(strstr(bmname,"WH")){
verify_value = 1289925229.0;
}else if(strstr(bmname,"SH")){
verify_value = 610856482.0;
}else{
fprintf(stderr,"No such benchmark as %s.\n",bmname);
}
verified = 0;
}else if(class=='B') {
if(strstr(bmname,"BH")){
verify_value = 4317114.0;
}else if(strstr(bmname,"WH")){
verify_value = 7877279917.0;
}else if(strstr(bmname,"SH")){
verify_value = 1836863082.0;
}else{
fprintf(stderr,"No such benchmark as %s.\n",bmname);
verified = 0;
}
}else if(class=='C' || class == 'D') {
verify_value = 0.0;
}else{
fprintf(stderr,"No such class as %c.\n",class);
}
fprintf(stderr," %s L2 Norm = %f\n",bmname,rnm2);
if(verified==-1){
fprintf(stderr," No verification was performed.\n");
}else if( rnm2 - verify_value < epsilon && rnm2 - verify_value > -epsilon) { /* abs here does not work on ALTIX */
verified = 1;
fprintf(stderr," Deviation = %f\n",(rnm2 - verify_value));
}else{
verified = 0;
fprintf(stderr," The correct verification value = %f\n",verify_value);
fprintf(stderr," Got value = %f\n",rnm2);
}
}else{
verified = -1;
}
return verified;
}
static int ipowMod(int a,long long int n,int md){
int seed=1;
int q=a;
int r=1;
int exp = n;
if(n<0){
fprintf(stderr,"ipowMod: exponent must be nonnegative exp=%lld\n",n);
exp=-n; /* temp fix */
}
if(md<=0){
fprintf(stderr,"ipowMod: module must be positive mod=%d",md);
return 1;
}
if(n==0)
return 1;
while(exp>1){
int n2 = exp/2;
if (n2*2==n){
seed = (q*q)%md;
q=seed;
exp = n2;
}else{
seed = (r*q)%md;
r=seed;
exp = exp -1;
}
}
seed = (r*q)%md;
return seed;
}
static DGraph *buildSH(const char cls){
/* Nodes of the graph must be topologically sorted to avoid MPI deadlock. */
DGraph *dg;
unsigned int numSources=num_sources; /* must be power of 2 */
unsigned int numOfLayers=0;
unsigned int tmpS=numSources>>1;
int firstLayerNode=0;
DGArc *ar=NULL;
DGNode *nd=NULL;
unsigned int mask=0x0;
int ndid=0,ndoff=0;
unsigned int i=0;
unsigned int j=0;
char nm[BLOCK_SIZE];
snprintf(nm,BLOCK_SIZE,"DT_SH.%c",cls);
dg=newDGraph(nm);
while(tmpS>1){
numOfLayers++;
tmpS>>=1;
}
for(i=0;i<numSources;i++){
snprintf(nm, BLOCK_SIZE, "Source.%u", i);
nd = newNode(nm);
AttachNode(dg, nd);
}
for(j=0;j<numOfLayers;j++){
mask=0x00000001<<j;
for(i=0;i<numSources;i++){
snprintf(nm, BLOCK_SIZE, "Comparator.%u", (i + j * firstLayerNode));
nd=newNode(nm);
AttachNode(dg,nd);
ndoff=i&(~mask);
ndid=firstLayerNode+ndoff;
ar=newArc(dg->node[ndid],nd);
AttachArc(dg,ar);
ndoff+=mask;
ndid=firstLayerNode+ndoff;
ar=newArc(dg->node[ndid],nd);
AttachArc(dg,ar);
}
firstLayerNode+=numSources;
}
mask=0x00000001<<numOfLayers;
for(i=0;i<numSources;i++){
snprintf(nm, BLOCK_SIZE, "Sink.%u", i);
nd=newNode(nm);
AttachNode(dg,nd);
ndoff=i&(~mask);
ndid=firstLayerNode+ndoff;
ar=newArc(dg->node[ndid],nd);
AttachArc(dg,ar);
ndoff+=mask;
ndid=firstLayerNode+ndoff;
ar=newArc(dg->node[ndid],nd);
AttachArc(dg,ar);
}
return dg;
}
static DGraph *buildWH(const char cls){
/* Nodes of the graph must be topologically sorted to avoid MPI deadlock. */
int i=0,j=0;
int numSources=num_sources,maxInDeg=4;
int numLayerNodes=numSources,firstLayerNode=0;
int totComparators=0;
int numPrevLayerNodes=numLayerNodes;
int id=0,sid=0;
DGraph *dg;
DGNode *nd=NULL,*source=NULL,*tmp=NULL,*snd=NULL;
DGArc *ar=NULL;
char nm[BLOCK_SIZE];
snprintf(nm,BLOCK_SIZE,"DT_WH.%c",cls);
dg=newDGraph(nm);
for(i=0;i<numSources;i++){
snprintf(nm,BLOCK_SIZE,"Sink.%d",i);
nd=newNode(nm);
AttachNode(dg,nd);
}
totComparators=0;
while(numLayerNodes>maxInDeg){
numLayerNodes=numLayerNodes/maxInDeg;
if(numLayerNodes*maxInDeg<numPrevLayerNodes)
numLayerNodes++;
for(i=0;i<numLayerNodes;i++){
snprintf(nm,BLOCK_SIZE,"Comparator.%d",totComparators);
totComparators++;
nd=newNode(nm);
id=AttachNode(dg,nd);
for(j=0;j<maxInDeg;j++){
sid=i*maxInDeg+j;
if(sid>=numPrevLayerNodes)
break;
snd=dg->node[firstLayerNode+sid];
ar=newArc(dg->node[id],snd);
AttachArc(dg,ar);
}
}
firstLayerNode+=numPrevLayerNodes;
numPrevLayerNodes=numLayerNodes;
}
source=newNode((char*)"Source");
AttachNode(dg,source);
for(i=0;i<numPrevLayerNodes;i++){
nd=dg->node[firstLayerNode+i];
ar=newArc(source,nd);
AttachArc(dg,ar);
}
for(i=0;i<dg->numNodes/2;i++){ /* Topological sorting */
tmp=dg->node[i];
dg->node[i]=dg->node[dg->numNodes-1-i];
dg->node[i]->id=i;
dg->node[dg->numNodes-1-i]=tmp;
dg->node[dg->numNodes-1-i]->id=dg->numNodes-1-i;
}
return dg;
}
static DGraph *buildBH(const char cls){
/* Nodes of the graph must be topologically sorted to avoid MPI deadlock.*/
int i=0,j=0;
int numSources=num_sources,maxInDeg=4;
int numLayerNodes=numSources,firstLayerNode=0;
DGraph *dg;
DGNode *nd=NULL, *snd=NULL, *sink=NULL;
DGArc *ar=NULL;
int totComparators=0;
int numPrevLayerNodes=numLayerNodes;
int id=0, sid=0;
char nm[BLOCK_SIZE];
snprintf(nm,BLOCK_SIZE,"DT_BH.%c",cls);
dg=newDGraph(nm);
for(i=0;i<numSources;i++){
snprintf(nm,BLOCK_SIZE,"Source.%d",i);
nd=newNode(nm);
AttachNode(dg,nd);
}
while(numLayerNodes>maxInDeg){
numLayerNodes=numLayerNodes/maxInDeg;
if(numLayerNodes*maxInDeg<numPrevLayerNodes)
numLayerNodes++;
for(i=0;i<numLayerNodes;i++){
snprintf(nm,BLOCK_SIZE,"Comparator.%d",totComparators);
totComparators++;
nd=newNode(nm);
id=AttachNode(dg,nd);
for(j=0;j<maxInDeg;j++){
sid=i*maxInDeg+j;
if(sid>=numPrevLayerNodes)
break;
snd=dg->node[firstLayerNode+sid];
ar=newArc(snd,dg->node[id]);
AttachArc(dg,ar);
}
}
firstLayerNode+=numPrevLayerNodes;
numPrevLayerNodes=numLayerNodes;
}
sink=newNode((char*)"Sink");
AttachNode(dg,sink);
for(i=0;i<numPrevLayerNodes;i++){
nd=dg->node[firstLayerNode+i];
ar=newArc(nd,sink);
AttachArc(dg,ar);
}
return dg;
}
typedef struct{
int len;
double* val;
} Arr;
static Arr *newArr(int len){
Arr *arr=(Arr *)malloc(sizeof(Arr)); //Arr *arr=(Arr *)SMPI_SHARED_MALLOC(sizeof(Arr));
arr->len=len;
arr->val=(double *)malloc(len*sizeof(double)); //arr->val=(double *)SMPI_SHARED_MALLOC(len*sizeof(double));
return arr;
}
static double CheckVal(Arr *feat){
double csum=0.0;
for(int i=0;i<feat->len;i++){
csum+=feat->val[i]*feat->val[i]/feat->len; /* The truncation does not work since result will be 0 for large len */
}
return csum;
}
static int GetFNumDPar(int* mean, int* stdev){
*mean=num_samples;
*stdev=deviation;
return 0;
}
static int GetFeatureNum(char *mbname,int id){
double tran=314159265.0;
double A=2*id+1;
double denom=randlc(&tran,&A);
char cval='S';
int mean=num_samples,stdev=128;
int rtfs=0,len=0;
GetFNumDPar(&mean,&stdev);
rtfs=ipowMod((int)(1/denom)*(int)cval,(long long int) (2*id+1),2*stdev);
if(rtfs<0) rtfs=-rtfs;
len=mean-stdev+rtfs;
return len;
}
static Arr* RandomFeatures(char *bmname,int fdim,int id){
int len=GetFeatureNum(bmname,id)*fdim;
Arr* feat=newArr(len);
int nxg=2,nyg=2,nzg=2,nfg=5;
int nx=421,ny=419,nz=1427,nf=3527;
long long int expon=(len*(id+1))%3141592;
int seedx=ipowMod(nxg,expon,nx), seedy=ipowMod(nyg,expon,ny), seedz=ipowMod(nzg,expon,nz),seedf=ipowMod(nfg,expon,nf);
if(timer_on){
timer_clear(id+1);
timer_start(id+1);
}
for(int i=0;i<len;i+=fdim){
seedx=(seedx*nxg)%nx;
seedy=(seedy*nyg)%ny;
seedz=(seedz*nzg)%nz;
seedf=(seedf*nfg)%nf;
feat->val[i]=seedx;
feat->val[i+1]=seedy;
feat->val[i+2]=seedz;
feat->val[i+3]=seedf;
}
if(timer_on){
timer_stop(id+1);
fprintf(stderr,"** RandomFeatures time in node %d = %f\n",id,timer_read(id+1));
}
return feat;
}
static void Resample(Arr *a,int blen){
long long int i=0,j=0,jlo=0,jhi=0;
double avval=0.0;
double *nval=(double *)malloc(blen*sizeof(double));
//double *nval=(double *)SMPI_SHARED_MALLOC(blen*sizeof(double));
for(i=0;i<blen;i++) nval[i]=0.0;
for(i=1;i<a->len-1;i++){
jlo=(int)(0.5*(2*i-1)*(blen/a->len));
jhi=(int)(0.5*(2*i+1)*(blen/a->len));
avval=a->val[i]/(jhi-jlo+1);
for(j=jlo;j<=jhi;j++){
nval[j]+=avval;
}
}
nval[0]=a->val[0];
nval[blen-1]=a->val[a->len-1];
free(a->val); //SMPI_SHARED_FREE(a->val);
a->val=nval;
a->len=blen;
}
#define fielddim 4
static Arr* WindowFilter(Arr *a, Arr* b,int w){
int i=0,j=0,k=0;
double rms0=0.0,rms1=0.0,rmsm1=0.0;
double weight=((double) (w+1))/(w+2);
w+=1;
if(timer_on){
timer_clear(w);
timer_start(w);
}
if(a->len<b->len) Resample(a,b->len);
if(a->len>b->len) Resample(b,a->len);
for(i=fielddim;i<a->len-fielddim;i+=fielddim){
rms0=(a->val[i]-b->val[i])*(a->val[i]-b->val[i]) +(a->val[i+1]-b->val[i+1])*(a->val[i+1]-b->val[i+1])
+(a->val[i+2]-b->val[i+2])*(a->val[i+2]-b->val[i+2]) +(a->val[i+3]-b->val[i+3])*(a->val[i+3]-b->val[i+3]);
j=i+fielddim;
rms1=(a->val[j]-b->val[j])*(a->val[j]-b->val[j]) +(a->val[j+1]-b->val[j+1])*(a->val[j+1]-b->val[j+1])
+(a->val[j+2]-b->val[j+2])*(a->val[j+2]-b->val[j+2]) +(a->val[j+3]-b->val[j+3])*(a->val[j+3]-b->val[j+3]);
j=i-fielddim;
rmsm1=(a->val[j]-b->val[j])*(a->val[j]-b->val[j]) +(a->val[j+1]-b->val[j+1])*(a->val[j+1]-b->val[j+1])
+(a->val[j+2]-b->val[j+2])*(a->val[j+2]-b->val[j+2]) +(a->val[j+3]-b->val[j+3])*(a->val[j+3]-b->val[j+3]);
k=0;
if(rms1<rms0){
k=1;
rms0=rms1;
}
if(rmsm1<rms0) k=-1;
if(k==0){
a->val[i]=weight*b->val[i];
a->val[i+1]=weight*b->val[i+1];
a->val[i+2]=weight*b->val[i+2];
a->val[i+3]=weight*b->val[i+3];
}else if(k==1){
j=i+fielddim;
a->val[i]=weight*b->val[j];
a->val[i+1]=weight*b->val[j+1];
a->val[i+2]=weight*b->val[j+2];
a->val[i+3]=weight*b->val[j+3];
}else { /*if(k==-1)*/
j=i-fielddim;
a->val[i]=weight*b->val[j];
a->val[i+1]=weight*b->val[j+1];
a->val[i+2]=weight*b->val[j+2];
a->val[i+3]=weight*b->val[j+3];
}
}
if(timer_on){
timer_stop(w);
fprintf(stderr,"** WindowFilter time in node %d = %f\n",(w-1),timer_read(w));
}
return a;
}
static int SendResults(DGraph *dg,DGNode *nd,Arr *feat){
int i=0,tag=0;
DGArc *ar=NULL;
DGNode *head=NULL;
if(feat == 0)
return 0;
TRACE_smpi_set_category ("SendResults");
for(i=0;i<nd->outDegree;i++){
ar=nd->outArc[i];
if(ar->tail ==nd){
head=ar->head;
tag=ar->id;
if(head->address!=nd->address){
MPI_Send(&feat->len,1,MPI_INT,head->address,tag,MPI_COMM_WORLD);
MPI_Send(feat->val,feat->len,MPI_DOUBLE,head->address,tag,MPI_COMM_WORLD);
}
}
}
TRACE_smpi_set_category (NULL);
return 1;
}
static Arr* CombineStreams(DGraph *dg,DGNode *nd){
Arr *resfeat=newArr(num_samples*fielddim);
int i=0,len=0,tag=0;
DGArc *ar=NULL;
DGNode *tail=NULL;
MPI_Status status;
Arr *feat=NULL,*featp=NULL;
if(nd->inDegree==0) return NULL;
for(i=0;i<nd->inDegree;i++){
ar=nd->inArc[i];
if(ar->head == nd){
tail=ar->tail;
if(tail->address!=nd->address){
len=0;
tag=ar->id;
MPI_Recv(&len,1,MPI_INT,tail->address,tag,MPI_COMM_WORLD,&status);
feat=newArr(len);
MPI_Recv(feat->val,feat->len,MPI_DOUBLE,tail->address,tag,MPI_COMM_WORLD,&status);
resfeat=WindowFilter(resfeat,feat,nd->id);
free(feat);//SMPI_SHARED_FREE(feat);
}else{
featp=(Arr *)tail->feat;
feat=newArr(featp->len);
memcpy(feat->val,featp->val,featp->len*sizeof(double));
resfeat=WindowFilter(resfeat,feat,nd->id);
free(feat);//SMPI_SHARED_FREE(feat);
}
}
}
for(i=0;i<resfeat->len;i++)
resfeat->val[i]=((int)resfeat->val[i])/nd->inDegree;
nd->feat=resfeat;
return nd->feat;
}
static double Reduce(Arr *a,int w){
double retv=0.0;
if(timer_on){
timer_clear(w);
timer_start(w);
}
retv=(int)(w*CheckVal(a));/* The casting needed for node and array dependent verifcation */
if(timer_on){
timer_stop(w);
fprintf(stderr,"** Reduce time in node %d = %f\n",(w-1),timer_read(w));
}
return retv;
}
static double ReduceStreams(DGraph *dg,DGNode *nd){
double csum=0.0;
int i=0,len=0,tag=0;
DGArc *ar=NULL;
DGNode *tail=NULL;
Arr *feat=NULL;
double retv=0.0;
TRACE_smpi_set_category ("ReduceStreams");
for(i=0;i<nd->inDegree;i++){
ar=nd->inArc[i];
if(ar->head!=nd) continue;
tail=ar->tail;
if(tail->address!=nd->address){
MPI_Status status;
len=0;
tag=ar->id;
MPI_Recv(&len,1,MPI_INT,tail->address,tag,MPI_COMM_WORLD,&status);
feat=newArr(len);
MPI_Recv(feat->val,feat->len,MPI_DOUBLE,tail->address,tag,MPI_COMM_WORLD,&status);
csum+=Reduce(feat,(nd->id+1));
free(feat);//SMPI_SHARED_FREE(feat);
}else{
csum+=Reduce(tail->feat,(nd->id+1));
}
}
if(nd->inDegree>0)csum=(((long long int)csum)/nd->inDegree);
retv=(nd->id+1)*csum;
return retv;
}
static int ProcessNodes(DGraph *dg,int me){
double chksum=0.0;
Arr *feat=NULL;
int i=0,verified=0,tag;
DGNode *nd=NULL;
double rchksum=0.0;
MPI_Status status;
TRACE_smpi_set_category ("ProcessNodes");
for(i=0;i<dg->numNodes;i++){
nd=dg->node[i];
if(nd->address!=me) continue;
if(strstr(nd->name,"Source")){
nd->feat=RandomFeatures(dg->name,fielddim,nd->id);
SendResults(dg,nd,nd->feat);
}else if(strstr(nd->name,"Sink")){
chksum=ReduceStreams(dg,nd);
tag=dg->numArcs+nd->id; /* make these to avoid clash with arc tags */
MPI_Send(&chksum,1,MPI_DOUBLE,0,tag,MPI_COMM_WORLD);
}else{
feat=CombineStreams(dg,nd);
SendResults(dg,nd,feat);
}
}
TRACE_smpi_set_category ("ProcessNodes");
if(me==0){ /* Report node */
rchksum=0.0;
chksum=0.0;
for(i=0;i<dg->numNodes;i++){
nd=dg->node[i];
if(!strstr(nd->name,"Sink")) continue;
tag=dg->numArcs+nd->id; /* make these to avoid clash with arc tags */
MPI_Recv(&rchksum,1,MPI_DOUBLE,nd->address,tag,MPI_COMM_WORLD,&status);
chksum+=rchksum;
}
verified=verify(dg->name,chksum);
}
return verified;
}
int main(int argc,char **argv ){
int my_rank,comm_size;
int i;
DGraph *dg = NULL;
int verified=0, featnum=0;
double bytes_sent=2.0,tot_time=0.0;
MPI_Init( &argc, &argv );
MPI_Comm_rank( MPI_COMM_WORLD, &my_rank );
MPI_Comm_size( MPI_COMM_WORLD, &comm_size );
TRACE_smpi_set_category ("begin");
get_info(argc, argv, &nprocs, &class);
check_info(DT, nprocs, class);
if (class == 'S') { num_samples=1728; deviation=128; num_sources=4; }
else if (class == 'W') { num_samples=1728*8; deviation=128*2; num_sources=4*2; }
else if (class == 'A') { num_samples=1728*64; deviation=128*4; num_sources=4*4; }
else if (class == 'B') { num_samples=1728*512; deviation=128*8; num_sources=4*8; }
else if (class == 'C') { num_samples=1728*4096; deviation=128*16; num_sources=4*16; }
else if (class == 'D') { num_samples=1728*4096*8; deviation=128*32; num_sources=4*32; }
else {
printf("setparams: Internal error: invalid class type %c\n", class);
exit(1);
}
if(argc!=4 || (strncmp(argv[3],"BH",2)!=0 && strncmp(argv[3],"WH",2)!=0 && strncmp(argv[3],"SH",2)!=0)){
if(my_rank==0){
fprintf(stderr,"** Usage: mpirun -np N ../bin/dt.S GraphName\n");
fprintf(stderr,"** Where \n - N is integer number of MPI processes\n");
fprintf(stderr," - S is the class S, W, or A \n");
fprintf(stderr," - GraphName is the communication graph name BH, WH, or SH.\n");
fprintf(stderr," - the number of MPI processes N should not be be less than \n");
fprintf(stderr," the number of nodes in the graph\n");
}
MPI_Finalize();
exit(0);
}
if(strncmp(argv[3],"BH",2)==0){
dg=buildBH(class);
}else if(strncmp(argv[3],"WH",2)==0){
dg=buildWH(class);
}else /* (strncmp(argv[3],"SH",2)==0) */ {
dg=buildSH(class);
}
if(timer_on != 0 && dg->numNodes+1>timers_tot){
timer_on=0;
if(my_rank==0)
fprintf(stderr,"Not enough timers. Node timing is off. \n");
}
if(dg->numNodes && dg->numNodes>comm_size){
if(my_rank==0){
fprintf(stderr,"** The number of MPI processes should not be less than \n");
fprintf(stderr,"** the number of nodes in the graph\n");
fprintf(stderr,"** Number of MPI processes = %d\n",comm_size);
fprintf(stderr,"** Number nodes in the graph = %d\n",dg->numNodes);
}
MPI_Finalize();
exit(0);
}
for(i=0; i<dg->numNodes; i++){
dg->node[i]->address=i;
}
if( my_rank == 0 ){
printf( "\n\n NAS Parallel Benchmarks 3.3 -- DT Benchmark\n\n" );
graphShow(dg,0);
timer_clear(0);
timer_start(0);
}
verified=ProcessNodes(dg,my_rank);
TRACE_smpi_set_category ("end");
featnum=num_samples*fielddim;
bytes_sent=featnum*dg->numArcs;
bytes_sent/=1048576;
if(my_rank==0){
timer_stop(0);
tot_time=timer_read(0);
c_print_results( dg->name, class, featnum, 0, 0, dg->numNodes, 0, comm_size, tot_time, bytes_sent/tot_time,
"bytes transmitted", verified);
}
MPI_Finalize();
return 1;
}
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