#include "lookup3.h"
#include "sync_chain.h"
+#include "event_analysis_chull.h"
#include "event_analysis_eval.h"
-struct WriteGraphInfo
+struct WriteHistogramInfo
{
GHashTable* rttInfo;
FILE* graphsStream;
};
+#ifdef HAVE_LIBGLPK
+struct LPAddRowInfo
+{
+ glp_prob* lp;
+ int boundType;
+ GArray* iArray, * jArray, * aArray;
+};
+#endif
// Functions common to all analysis modules
static void initAnalysisEval(SyncState* const syncState);
broadcast);
static GArray* finalizeAnalysisEval(SyncState* const syncState);
static void printAnalysisStatsEval(SyncState* const syncState);
+static void writeAnalysisTraceTimePlotsEval(SyncState* const syncState, const
+ unsigned int i, const unsigned int j);
+static void writeAnalysisTraceTracePlotsEval(SyncState* const syncState, const
+ unsigned int i, const unsigned int j);
// Functions specific to this module
static void registerAnalysisEval() __attribute__((constructor (102)));
static void gfSum(gpointer data, gpointer userData);
static void gfSumSquares(gpointer data, gpointer userData);
-static void ghfPrintExchangeRtt(gpointer key, gpointer value, gpointer user_data);
+static void ghfPrintExchangeRtt(gpointer key, gpointer value, gpointer
+ user_data);
static void hitBin(struct Bins* const bins, const double value);
static unsigned int binNum(const double value) __attribute__((pure));
static double binEnd(const unsigned int binNum) __attribute__((pure));
static uint32_t normalTotal(struct Bins* const bins) __attribute__((const));
-static AnalysisGraphEval* constructAnalysisGraphEval(const char* const
+static AnalysisHistogramEval* constructAnalysisHistogramEval(const char* const
graphsDir, const struct RttKey* const rttKey);
-static void destroyAnalysisGraphEval(AnalysisGraphEval* const graph);
-static void gdnDestroyAnalysisGraphEval(gpointer data);
-static void ghfWriteGraph(gpointer key, gpointer value, gpointer user_data);
+static void destroyAnalysisHistogramEval(AnalysisHistogramEval* const
+ histogram);
+static void gdnDestroyAnalysisHistogramEval(gpointer data);
+static void ghfWriteHistogram(gpointer key, gpointer value, gpointer
+ user_data);
static void dumpBinToFile(const struct Bins* const bins, FILE* const file);
static void writeHistogram(FILE* graphsStream, const struct RttKey* rttKey,
- double* minRtt, AnalysisGraphEval* const graph);
+ double* minRtt, AnalysisHistogramEval* const histogram);
+
+static void updateBounds(Bounds** const bounds, Event* const e1, Event* const e2);
+
+// The next group of functions is only needed when computing synchronization
+// accuracy.
+#ifdef HAVE_LIBGLPK
+static glp_prob* lpCreateProblem(GQueue* const lowerHull, GQueue* const upperHull);
+static void gfLPAddRow(gpointer data, gpointer user_data);
+static Factors* calculateFactors(glp_prob* const lp, const int direction);
+static void calculateCompleteFactors(glp_prob* const lp, FactorsCHull* factors);
+static FactorsCHull** createAllFactors(const unsigned int traceNb);
+static inline void finalizeAnalysisEvalLP(SyncState* const syncState);
+#else
+static void finalizeAnalysisEvalLP(SyncState* const syncState);
+#endif
+// initialized in registerAnalysisEval()
double binBase;
static AnalysisModule analysisModuleEval= {
.analyzeBroadcast= &analyzeBroadcastEval,
.finalizeAnalysis= &finalizeAnalysisEval,
.printAnalysisStats= &printAnalysisStatsEval,
+ .graphFunctions= {
+ .writeTraceTimePlots= &writeAnalysisTraceTimePlotsEval,
+ .writeTraceTracePlots= &writeAnalysisTraceTracePlotsEval,
+ }
};
static ModuleOption optionEvalRttFile= {
*/
static void registerAnalysisEval()
{
+ binBase= exp10(6. / (BIN_NB - 3));
+
g_queue_push_tail(&analysisModules, &analysisModuleEval);
g_queue_push_tail(&moduleOptions, &optionEvalRttFile);
}
static void initAnalysisEval(SyncState* const syncState)
{
AnalysisDataEval* analysisData;
- unsigned int i;
+ unsigned int i, j;
analysisData= malloc(sizeof(AnalysisDataEval));
syncState->analysisData= analysisData;
analysisData->stats->exchangeRtt=
g_hash_table_new_full(&ghfRttKeyHash, &gefRttKeyEqual,
&gdnDestroyRttKey, &gdnDestroyDouble);
+
+#ifdef HAVE_LIBGLPK
+ analysisData->stats->chFactorsArray= NULL;
+ analysisData->stats->lpFactorsArray= NULL;
+#endif
}
if (syncState->graphsStream)
{
- binBase= exp10(6. / (BIN_NB - 3));
- analysisData->graphs= g_hash_table_new_full(&ghfRttKeyHash,
- &gefRttKeyEqual, &gdnDestroyRttKey, &gdnDestroyAnalysisGraphEval);
+ AnalysisGraphsEval* graphs= malloc(sizeof(AnalysisGraphsEval));
+
+ analysisData->graphs= graphs;
+
+ graphs->histograms= g_hash_table_new_full(&ghfRttKeyHash,
+ &gefRttKeyEqual, &gdnDestroyRttKey,
+ &gdnDestroyAnalysisHistogramEval);
+
+ graphs->bounds= malloc(syncState->traceNb * sizeof(Bounds*));
+ for (i= 0; i < syncState->traceNb; i++)
+ {
+ graphs->bounds[i]= malloc(i * sizeof(Bounds));
+ for (j= 0; j < i; j++)
+ {
+ graphs->bounds[i][j].min= UINT64_MAX;
+ graphs->bounds[i][j].max= 0;
+ }
+ }
+
+#ifdef HAVE_LIBGLPK
+ graphs->lps= NULL;
+ graphs->lpFactorsArray= NULL;
+#endif
+ }
+
+ if (syncState->stats || syncState->graphsStream)
+ {
+ GList* result;
+
+ analysisData->chullSS= malloc(sizeof(SyncState));
+ memcpy(analysisData->chullSS, syncState, sizeof(SyncState));
+ analysisData->chullSS->stats= false;
+ analysisData->chullSS->analysisData= NULL;
+ result= g_queue_find_custom(&analysisModules, "chull",
+ &gcfCompareAnalysis);
+ analysisData->chullSS->analysisModule= (AnalysisModule*) result->data;
+ analysisData->chullSS->analysisModule->initAnalysis(analysisData->chullSS);
}
}
* graphsDir: folder where to write files
* rttKey: host pair, make sure saddr < daddr
*/
-static AnalysisGraphEval* constructAnalysisGraphEval(const char* const
+static AnalysisHistogramEval* constructAnalysisHistogramEval(const char* const
graphsDir, const struct RttKey* const rttKey)
{
int retval;
unsigned int i;
char* cwd;
char name[60], saddr[16], daddr[16];
- AnalysisGraphEval* graph= calloc(1, sizeof(*graph));
+ AnalysisHistogramEval* histogram= calloc(1, sizeof(*histogram));
const struct {
size_t pointsOffset;
const char* fileName;
const char* host1, *host2;
} loopValues[]= {
- {offsetof(AnalysisGraphEval, ttSendPoints), "analysis_eval_tt-%s_to_%s.data",
- saddr, daddr},
- {offsetof(AnalysisGraphEval, ttRecvPoints), "analysis_eval_tt-%s_to_%s.data",
- daddr, saddr},
- {offsetof(AnalysisGraphEval, hrttPoints), "analysis_eval_hrtt-%s_and_%s.data",
- saddr, daddr},
+ {offsetof(AnalysisHistogramEval, ttSendPoints),
+ "analysis_eval_tt-%s_to_%s.data", saddr, daddr},
+ {offsetof(AnalysisHistogramEval, ttRecvPoints),
+ "analysis_eval_tt-%s_to_%s.data", daddr, saddr},
+ {offsetof(AnalysisHistogramEval, hrttPoints),
+ "analysis_eval_hrtt-%s_and_%s.data", saddr, daddr},
};
- graph->ttSendBins.max= BIN_NB - 1;
- graph->ttRecvBins.max= BIN_NB - 1;
- graph->hrttBins.max= BIN_NB - 1;
+ histogram->ttSendBins.min= BIN_NB - 1;
+ histogram->ttRecvBins.min= BIN_NB - 1;
+ histogram->hrttBins.min= BIN_NB - 1;
convertIP(saddr, rttKey->saddr);
convertIP(daddr, rttKey->daddr);
{
name[sizeof(name) - 1]= '\0';
}
- if ((*(FILE**)((void*) graph + loopValues[i].pointsOffset)=
+ if ((*(FILE**)((void*) histogram + loopValues[i].pointsOffset)=
fopen(name, "w")) == NULL)
{
g_error(strerror(errno));
}
free(cwd);
- return graph;
+ return histogram;
}
* graphsDir: folder where to write files
* rttKey: host pair, make sure saddr < daddr
*/
-static void destroyAnalysisGraphEval(AnalysisGraphEval* const graph)
+static void destroyAnalysisHistogramEval(AnalysisHistogramEval* const
+ histogram)
{
unsigned int i;
int retval;
const struct {
size_t pointsOffset;
} loopValues[]= {
- {offsetof(AnalysisGraphEval, ttSendPoints)},
- {offsetof(AnalysisGraphEval, ttRecvPoints)},
- {offsetof(AnalysisGraphEval, hrttPoints)},
+ {offsetof(AnalysisHistogramEval, ttSendPoints)},
+ {offsetof(AnalysisHistogramEval, ttRecvPoints)},
+ {offsetof(AnalysisHistogramEval, hrttPoints)},
};
for (i= 0; i < sizeof(loopValues) / sizeof(*loopValues); i++)
{
- retval= fclose(*(FILE**)((void*) graph + loopValues[i].pointsOffset));
+ retval= fclose(*(FILE**)((void*) histogram + loopValues[i].pointsOffset));
if (retval != 0)
{
g_error(strerror(errno));
}
}
+
+ free(histogram);
}
* A GDestroyNotify function for g_hash_table_new_full()
*
* Args:
- * data: AnalysisGraphEval*
+ * data: AnalysisHistogramEval*
*/
-static void gdnDestroyAnalysisGraphEval(gpointer data)
+static void gdnDestroyAnalysisHistogramEval(gpointer data)
{
- destroyAnalysisGraphEval(data);
+ destroyAnalysisHistogramEval(data);
}
*
* Args:
* key: RttKey* where saddr < daddr
- * value: AnalysisGraphEval*
- * user_data struct WriteGraphInfo*
+ * value: AnalysisHistogramEval*
+ * user_data struct WriteHistogramInfo*
*/
-static void ghfWriteGraph(gpointer key, gpointer value, gpointer user_data)
+static void ghfWriteHistogram(gpointer key, gpointer value, gpointer user_data)
{
double* rtt1, * rtt2;
struct RttKey* rttKey= key;
struct RttKey oppositeRttKey= {.saddr= rttKey->daddr, .daddr=
rttKey->saddr};
- AnalysisGraphEval* graph= value;
- struct WriteGraphInfo* info= user_data;
+ AnalysisHistogramEval* histogram= value;
+ struct WriteHistogramInfo* info= user_data;
rtt1= g_hash_table_lookup(info->rttInfo, rttKey);
rtt2= g_hash_table_lookup(info->rttInfo, &oppositeRttKey);
rtt1= MIN(rtt1, rtt2);
}
- dumpBinToFile(&graph->ttSendBins, graph->ttSendPoints);
- dumpBinToFile(&graph->ttRecvBins, graph->ttRecvPoints);
- dumpBinToFile(&graph->hrttBins, graph->hrttPoints);
- writeHistogram(info->graphsStream, rttKey, rtt1, graph);
+ dumpBinToFile(&histogram->ttSendBins, histogram->ttSendPoints);
+ dumpBinToFile(&histogram->ttRecvBins, histogram->ttRecvPoints);
+ dumpBinToFile(&histogram->hrttBins, histogram->hrttPoints);
+ writeHistogram(info->graphsStream, rttKey, rtt1, histogram);
}
* graphsStream: write to this file
* rttKey: must be sorted such that saddr < daddr
* minRtt: if available, else NULL
- * graph: struct that contains the bins for the pair of traces
+ * histogram: struct that contains the bins for the pair of traces
* identified by rttKey
*/
static void writeHistogram(FILE* graphsStream, const struct RttKey* rttKey,
- double* minRtt, AnalysisGraphEval* const graph)
+ double* minRtt, AnalysisHistogramEval* const histogram)
{
char saddr[16], daddr[16];
convertIP(daddr, rttKey->daddr);
fprintf(graphsStream,
- "reset\n"
+ "\nreset\n"
"set output \"histogram-%s-%s.eps\"\n"
"set title \"\"\n"
"set xlabel \"Message Latency (s)\"\n"
/ 2);
}
- if (normalTotal(&graph->ttSendBins) || normalTotal(&graph->ttRecvBins) ||
- normalTotal(&graph->hrttBins))
+ if (normalTotal(&histogram->ttSendBins) ||
+ normalTotal(&histogram->ttRecvBins) ||
+ normalTotal(&histogram->hrttBins))
{
fprintf(graphsStream, "plot \\\n");
- if (normalTotal(&graph->hrttBins))
+ if (normalTotal(&histogram->hrttBins))
{
fprintf(graphsStream,
"\t\"analysis_eval_hrtt-%s_and_%s.data\" "
saddr, daddr);
}
- if (normalTotal(&graph->ttSendBins))
+ if (normalTotal(&histogram->ttSendBins))
{
fprintf(graphsStream,
"\t\"analysis_eval_tt-%1$s_to_%2$s.data\" "
saddr, daddr);
}
- if (normalTotal(&graph->ttRecvBins))
+ if (normalTotal(&histogram->ttRecvBins))
{
fprintf(graphsStream,
"\t\"analysis_eval_tt-%1$s_to_%2$s.data\" "
*/
static void destroyAnalysisEval(SyncState* const syncState)
{
- unsigned int i;
+ unsigned int i, j;
AnalysisDataEval* analysisData;
analysisData= (AnalysisDataEval*) syncState->analysisData;
- if (analysisData == NULL || analysisData->rttInfo == NULL)
+ if (analysisData == NULL)
{
return;
}
g_hash_table_destroy(analysisData->rttInfo);
- analysisData->rttInfo= NULL;
if (syncState->stats)
{
+ AnalysisStatsEval* stats= analysisData->stats;
+
+ for (i= 0; i < syncState->traceNb; i++)
+ {
+ free(stats->messageStats[i]);
+ }
+ free(stats->messageStats);
+
+ g_hash_table_destroy(stats->exchangeRtt);
+
+#ifdef HAVE_LIBGLPK
+ freeAllFactors(syncState->traceNb, stats->chFactorsArray);
+ freeAllFactors(syncState->traceNb, stats->lpFactorsArray);
+#endif
+
+ free(stats);
+ }
+
+ if (syncState->graphsStream)
+ {
+ AnalysisGraphsEval* graphs= analysisData->graphs;
+
+ if (graphs->histograms)
+ {
+ g_hash_table_destroy(graphs->histograms);
+ }
+
for (i= 0; i < syncState->traceNb; i++)
{
- free(analysisData->stats->messageStats[i]);
+ free(graphs->bounds[i]);
+ }
+ free(graphs->bounds);
+
+#ifdef HAVE_LIBGLPK
+ for (i= 0; i < syncState->traceNb; i++)
+ {
+ for (j= 0; j < i; j++)
+ {
+ // There seems to be a memory leak in glpk, valgrind reports a
+ // loss even if the problem is deleted
+ glp_delete_prob(graphs->lps[i][j]);
+ }
+ free(graphs->lps[i]);
}
- free(analysisData->stats->messageStats);
+ free(graphs->lps);
- g_hash_table_destroy(analysisData->stats->exchangeRtt);
+ if (!syncState->stats)
+ {
+ freeAllFactors(syncState->traceNb, graphs->lpFactorsArray);
+ }
+#endif
- free(analysisData->stats);
+ free(graphs);
}
- if (syncState->graphsStream && analysisData->graphs)
+ if (syncState->stats || syncState->graphsStream)
{
- g_hash_table_destroy(analysisData->graphs);
+ analysisData->chullSS->analysisModule->destroyAnalysis(analysisData->chullSS);
+ free(analysisData->chullSS);
}
free(syncState->analysisData);
* syncState container for synchronization data
* message structure containing the events
*/
-static void analyzeMessageEval(SyncState* const syncState, Message* const message)
+static void analyzeMessageEval(SyncState* const syncState, Message* const
+ message)
{
AnalysisDataEval* analysisData= syncState->analysisData;
MessageStats* messageStats=
- &analysisData->stats->messageStats[message->outE->traceNum][message->inE->traceNum];;
+ &analysisData->stats->messageStats[message->outE->traceNum][message->inE->traceNum];
double* rtt;
double tt;
struct RttKey rttKey;
- if (!syncState->stats)
- {
- return;
- }
-
g_assert(message->inE->type == TCP);
- messageStats->total++;
+ if (syncState->stats)
+ {
+ messageStats->total++;
+ }
tt= wallTimeSub(&message->inE->wallTime, &message->outE->wallTime);
if (tt <= 0)
{
- messageStats->inversionNb++;
+ if (syncState->stats)
+ {
+ messageStats->inversionNb++;
+ }
}
else if (syncState->graphsStream)
{
.daddr=MAX(message->inE->event.tcpEvent->segmentKey->connectionKey.saddr,
message->inE->event.tcpEvent->segmentKey->connectionKey.daddr),
};
- AnalysisGraphEval* graph= g_hash_table_lookup(analysisData->graphs,
- &rttKey);
+ AnalysisHistogramEval* histogram=
+ g_hash_table_lookup(analysisData->graphs->histograms, &rttKey);
- if (graph == NULL)
+ if (histogram == NULL)
{
struct RttKey* tableKey= malloc(sizeof(*tableKey));
- graph= constructAnalysisGraphEval(syncState->graphsDir, &rttKey);
+ histogram= constructAnalysisHistogramEval(syncState->graphsDir, &rttKey);
memcpy(tableKey, &rttKey, sizeof(*tableKey));
- g_hash_table_insert(analysisData->graphs, tableKey, graph);
+ g_hash_table_insert(analysisData->graphs->histograms, tableKey, histogram);
}
if (message->inE->event.udpEvent->datagramKey->saddr <
message->inE->event.udpEvent->datagramKey->daddr)
{
- hitBin(&graph->ttSendBins, tt);
+ hitBin(&histogram->ttSendBins, tt);
}
else
{
- hitBin(&graph->ttRecvBins, tt);
+ hitBin(&histogram->ttRecvBins, tt);
}
}
- rttKey.saddr=
- message->inE->event.tcpEvent->segmentKey->connectionKey.saddr;
- rttKey.daddr=
- message->inE->event.tcpEvent->segmentKey->connectionKey.daddr;
- rtt= g_hash_table_lookup(analysisData->rttInfo, &rttKey);
- g_debug("rttInfo, looking up (%u, %u)->(%f)", rttKey.saddr,
- rttKey.daddr, rtt ? *rtt : NAN);
-
- if (rtt)
+ if (syncState->stats)
{
- g_debug("rttInfo, tt: %f rtt / 2: %f", tt, *rtt / 2.);
- if (tt < *rtt / 2.)
+ rttKey.saddr=
+ message->inE->event.tcpEvent->segmentKey->connectionKey.saddr;
+ rttKey.daddr=
+ message->inE->event.tcpEvent->segmentKey->connectionKey.daddr;
+ rtt= g_hash_table_lookup(analysisData->rttInfo, &rttKey);
+ g_debug("rttInfo, looking up (%u, %u)->(%f)", rttKey.saddr,
+ rttKey.daddr, rtt ? *rtt : NAN);
+
+ if (rtt)
{
- messageStats->tooFastNb++;
+ g_debug("rttInfo, tt: %f rtt / 2: %f", tt, *rtt / 2.);
+ if (tt < *rtt / 2.)
+ {
+ messageStats->tooFastNb++;
+ }
+ }
+ else
+ {
+ messageStats->noRTTInfoNb++;
}
}
- else
+
+ if (syncState->graphsStream)
+ {
+ updateBounds(analysisData->graphs->bounds, message->inE,
+ message->outE);
+ }
+
+ if (syncState->stats || syncState->graphsStream)
{
- messageStats->noRTTInfoNb++;
+ analysisData->chullSS->analysisModule->analyzeMessage(analysisData->chullSS,
+ message);
}
}
* syncState container for synchronization data
* exchange structure containing the messages
*/
-static void analyzeExchangeEval(SyncState* const syncState, Exchange* const exchange)
+static void analyzeExchangeEval(SyncState* const syncState, Exchange* const
+ exchange)
{
AnalysisDataEval* analysisData= syncState->analysisData;
Message* m1= g_queue_peek_tail(exchange->acks);
struct RttKey* rttKey;
double* rtt, * exchangeRtt;
- if (!syncState->stats)
- {
- return;
- }
-
g_assert(m1->inE->type == TCP);
// (T2 - T1) - (T3 - T4)
if (syncState->graphsStream)
{
- AnalysisGraphEval* graph= g_hash_table_lookup(analysisData->graphs,
- rttKey);
+ AnalysisHistogramEval* histogram=
+ g_hash_table_lookup(analysisData->graphs->histograms, rttKey);
- if (graph == NULL)
+ if (histogram == NULL)
{
struct RttKey* tableKey= malloc(sizeof(*tableKey));
- graph= constructAnalysisGraphEval(syncState->graphsDir, rttKey);
+ histogram= constructAnalysisHistogramEval(syncState->graphsDir,
+ rttKey);
memcpy(tableKey, rttKey, sizeof(*tableKey));
- g_hash_table_insert(analysisData->graphs, tableKey, graph);
+ g_hash_table_insert(analysisData->graphs->histograms, tableKey,
+ histogram);
}
- hitBin(&graph->hrttBins, *rtt / 2);
+ hitBin(&histogram->hrttBins, *rtt / 2);
}
- exchangeRtt= g_hash_table_lookup(analysisData->stats->exchangeRtt,
- rttKey);
-
- if (exchangeRtt)
+ if (syncState->stats)
{
- if (*rtt < *exchangeRtt)
+ exchangeRtt= g_hash_table_lookup(analysisData->stats->exchangeRtt,
+ rttKey);
+
+ if (exchangeRtt)
{
- g_hash_table_replace(analysisData->stats->exchangeRtt, rttKey, rtt);
+ if (*rtt < *exchangeRtt)
+ {
+ g_hash_table_replace(analysisData->stats->exchangeRtt, rttKey, rtt);
+ }
+ else
+ {
+ free(rttKey);
+ free(rtt);
+ }
+ }
+ else
+ {
+ g_hash_table_insert(analysisData->stats->exchangeRtt, rttKey, rtt);
}
}
else
{
- g_hash_table_insert(analysisData->stats->exchangeRtt, rttKey, rtt);
+ free(rttKey);
+ free(rtt);
}
}
* syncState container for synchronization data
* broadcast structure containing the events
*/
-static void analyzeBroadcastEval(SyncState* const syncState, Broadcast* const broadcast)
+static void analyzeBroadcastEval(SyncState* const syncState, Broadcast* const
+ broadcast)
{
- AnalysisDataEval* analysisData;
- double sum= 0, squaresSum= 0;
- double y;
+ AnalysisDataEval* analysisData= syncState->analysisData;
- if (!syncState->stats)
+ if (syncState->stats)
{
- return;
- }
+ double sum= 0, squaresSum= 0;
+ double y;
- analysisData= (AnalysisDataEval*) syncState->analysisData;
+ g_queue_foreach(broadcast->events, &gfSum, &sum);
+ g_queue_foreach(broadcast->events, &gfSumSquares, &squaresSum);
- g_queue_foreach(broadcast->events, &gfSum, &sum);
- g_queue_foreach(broadcast->events, &gfSumSquares, &squaresSum);
+ analysisData->stats->broadcastNb++;
+ // Because of numerical errors, this can at times be < 0
+ y= squaresSum / g_queue_get_length(broadcast->events) - pow(sum /
+ g_queue_get_length(broadcast->events), 2.);
+ if (y > 0)
+ {
+ analysisData->stats->broadcastDiffSum+= sqrt(y);
+ }
+ }
- analysisData->stats->broadcastNb++;
- // Because of numerical errors, this can at times be < 0
- y= squaresSum / g_queue_get_length(broadcast->events) - pow(sum /
- g_queue_get_length(broadcast->events), 2.);
- if (y > 0)
+ if (syncState->graphsStream)
{
- analysisData->stats->broadcastDiffSum+= sqrt(y);
+ unsigned int i, j;
+ GArray* events;
+ unsigned int eventNb= broadcast->events->length;
+
+ events= g_array_sized_new(FALSE, FALSE, sizeof(Event*), eventNb);
+ g_queue_foreach(broadcast->events, &gfAddEventToArray, events);
+
+ for (i= 0; i < eventNb; i++)
+ {
+ for (j= 0; j < eventNb; j++)
+ {
+ Event* eventI= g_array_index(events, Event*, i), * eventJ=
+ g_array_index(events, Event*, j);
+
+ if (eventI->traceNum < eventJ->traceNum)
+ {
+ updateBounds(analysisData->graphs->bounds, eventI, eventJ);
+ }
+ }
+ }
+
+ g_array_free(events, TRUE);
}
}
/*
- * Finalize the factor calculations
- *
- * Since this module does not really calculate factors, identity factors are
- * returned.
+ * Finalize the factor calculations. Since this module does not really
+ * calculate factors, identity factors are returned. Instead, histograms are
+ * written out and histogram structures are freed.
*
* Args:
* syncState container for synchronization data.
unsigned int i;
AnalysisDataEval* analysisData= syncState->analysisData;
- if (syncState->graphsStream && analysisData->graphs)
+ if (syncState->graphsStream && analysisData->graphs->histograms)
{
- g_hash_table_foreach(analysisData->graphs, &ghfWriteGraph, &(struct
- WriteGraphInfo) {.rttInfo= analysisData->rttInfo,
- .graphsStream= syncState->graphsStream});
- g_hash_table_destroy(analysisData->graphs);
- analysisData->graphs= NULL;
+ g_hash_table_foreach(analysisData->graphs->histograms,
+ &ghfWriteHistogram, &(struct WriteHistogramInfo) {.rttInfo=
+ analysisData->rttInfo, .graphsStream= syncState->graphsStream});
+ g_hash_table_destroy(analysisData->graphs->histograms);
+ analysisData->graphs->histograms= NULL;
}
+ finalizeAnalysisEvalLP(syncState);
+
factors= g_array_sized_new(FALSE, FALSE, sizeof(Factors),
syncState->traceNb);
g_array_set_size(factors, syncState->traceNb);
"\t\tHost pair RTT from exchanges RTTs from file (ms)\n");
g_hash_table_foreach(analysisData->stats->exchangeRtt,
&ghfPrintExchangeRtt, analysisData->rttInfo);
+
+ printf("\tConvex hull factors comparisons:\n"
+ "\t\tTrace pair Factors type Differences (lp - chull)\n"
+ "\t\t a0 a1\n"
+ "\t\t Min Max Min Max\n");
+
+ for (i= 0; i < syncState->traceNb; i++)
+ {
+ for (j= 0; j < i; j++)
+ {
+ FactorsCHull* chFactors= &analysisData->stats->chFactorsArray[i][j];
+ FactorsCHull* lpFactors= &analysisData->stats->lpFactorsArray[i][j];
+
+ printf("\t\t%3d - %-3d ", i, j);
+ if (lpFactors->type == chFactors->type)
+ {
+ if (lpFactors->type == MIDDLE)
+ {
+ printf("%-13s %-10.4g %-10.4g %-10.4g %.4g\n",
+ approxNames[lpFactors->type],
+ lpFactors->min->offset - chFactors->min->offset,
+ lpFactors->max->offset - chFactors->max->offset,
+ lpFactors->min->drift - chFactors->min->drift,
+ lpFactors->max->drift - chFactors->max->drift);
+ }
+ else if (lpFactors->type == ABSENT)
+ {
+ printf("%s\n", approxNames[lpFactors->type]);
+ }
+ }
+ else
+ {
+ printf("Different! %s and %s\n", approxNames[lpFactors->type],
+ approxNames[chFactors->type]);
+ }
+ }
+ }
}
* value: double*, RTT estimated from exchanges
* user_data GHashTable* rttInfo
*/
-static void ghfPrintExchangeRtt(gpointer key, gpointer value, gpointer user_data)
+static void ghfPrintExchangeRtt(gpointer key, gpointer value, gpointer
+ user_data)
{
char addr1[16], addr2[16];
struct RttKey* rttKey1= key;
{
return bins->total - bins->bin[0] - bins->bin[BIN_NB - 1];
}
+
+
+/* Update the bounds between two traces
+ *
+ * Args:
+ * bounds: the array containing all the trace-pair bounds
+ * e1, e2: the two related events
+ */
+static void updateBounds(Bounds** const bounds, Event* const e1, Event* const e2)
+{
+ unsigned int traceI, traceJ;
+ uint64_t messageTime;
+ Bounds* tpBounds;
+
+ if (e1->traceNum < e2->traceNum)
+ {
+ traceI= e2->traceNum;
+ traceJ= e1->traceNum;
+ messageTime= e1->cpuTime;
+ }
+ else
+ {
+ traceI= e1->traceNum;
+ traceJ= e2->traceNum;
+ messageTime= e2->cpuTime;
+ }
+ tpBounds= &bounds[traceI][traceJ];
+
+ if (messageTime < tpBounds->min)
+ {
+ tpBounds->min= messageTime;
+ }
+ if (messageTime > tpBounds->max)
+ {
+ tpBounds->max= messageTime;
+ }
+}
+
+
+#ifdef HAVE_LIBGLPK
+/*
+ * Create the linear programming problem containing the constraints defined by
+ * two half-hulls. The objective function and optimization directions are not
+ * written.
+ *
+ * Args:
+ * syncState: container for synchronization data
+ * i: first trace number
+ * j: second trace number, garanteed to be larger than i
+ * Returns:
+ * A new glp_prob*, this problem must be freed by the caller with
+ * glp_delete_prob()
+ */
+static glp_prob* lpCreateProblem(GQueue* const lowerHull, GQueue* const upperHull)
+{
+ unsigned int it;
+ const int zero= 0;
+ const double zeroD= 0.;
+ glp_prob* lp= glp_create_prob();
+ unsigned int hullPointNb= g_queue_get_length(lowerHull) +
+ g_queue_get_length(upperHull);
+ GArray* iArray= g_array_sized_new(FALSE, FALSE, sizeof(int), hullPointNb +
+ 1);
+ GArray* jArray= g_array_sized_new(FALSE, FALSE, sizeof(int), hullPointNb +
+ 1);
+ GArray* aArray= g_array_sized_new(FALSE, FALSE, sizeof(double),
+ hullPointNb + 1);
+ struct {
+ GQueue* hull;
+ struct LPAddRowInfo rowInfo;
+ } loopValues[2]= {
+ {lowerHull, {lp, GLP_UP, iArray, jArray, aArray}},
+ {upperHull, {lp, GLP_LO, iArray, jArray, aArray}},
+ };
+
+ // Create the LP problem
+ glp_term_out(GLP_OFF);
+ glp_add_rows(lp, hullPointNb);
+ glp_add_cols(lp, 2);
+
+ glp_set_col_name(lp, 1, "a0");
+ glp_set_col_bnds(lp, 1, GLP_FR, 0., 0.);
+ glp_set_col_name(lp, 2, "a1");
+ glp_set_col_bnds(lp, 2, GLP_LO, 0., 0.);
+
+ // Add row constraints
+ g_array_append_val(iArray, zero);
+ g_array_append_val(jArray, zero);
+ g_array_append_val(aArray, zeroD);
+
+ for (it= 0; it < sizeof(loopValues) / sizeof(*loopValues); it++)
+ {
+ g_queue_foreach(loopValues[it].hull, &gfLPAddRow,
+ &loopValues[it].rowInfo);
+ }
+
+ g_assert_cmpuint(iArray->len, ==, jArray->len);
+ g_assert_cmpuint(jArray->len, ==, aArray->len);
+ g_assert_cmpuint(aArray->len - 1, ==, hullPointNb * 2);
+
+ glp_load_matrix(lp, aArray->len - 1, &g_array_index(iArray, int, 0),
+ &g_array_index(jArray, int, 0), &g_array_index(aArray, double, 0));
+
+ glp_scale_prob(lp, GLP_SF_AUTO);
+
+ g_array_free(iArray, TRUE);
+ g_array_free(jArray, TRUE);
+ g_array_free(aArray, TRUE);
+
+ return lp;
+}
+
+
+/*
+ * A GFunc for g_queue_foreach(). Add constraints and bounds for one row.
+ *
+ * Args:
+ * data Point*, synchronization point for which to add an LP row
+ * (a constraint)
+ * user_data LPAddRowInfo*
+ */
+static void gfLPAddRow(gpointer data, gpointer user_data)
+{
+ Point* p= data;
+ struct LPAddRowInfo* rowInfo= user_data;
+ int indexes[2];
+ double constraints[2];
+
+ indexes[0]= g_array_index(rowInfo->iArray, int, rowInfo->iArray->len - 1) + 1;
+ indexes[1]= indexes[0];
+
+ if (rowInfo->boundType == GLP_UP)
+ {
+ glp_set_row_bnds(rowInfo->lp, indexes[0], GLP_UP, 0., p->y);
+ }
+ else if (rowInfo->boundType == GLP_LO)
+ {
+ glp_set_row_bnds(rowInfo->lp, indexes[0], GLP_LO, p->y, 0.);
+ }
+ else
+ {
+ g_assert_not_reached();
+ }
+
+ g_array_append_vals(rowInfo->iArray, indexes, 2);
+ indexes[0]= 1;
+ indexes[1]= 2;
+ g_array_append_vals(rowInfo->jArray, indexes, 2);
+ constraints[0]= 1.;
+ constraints[1]= p->x;
+ g_array_append_vals(rowInfo->aArray, constraints, 2);
+}
+
+
+/*
+ * Calculate min or max correction factors (as possible) using an LP problem.
+ *
+ * Args:
+ * lp: A linear programming problem with constraints and bounds
+ * initialized.
+ * direction: The type of factors desired. Use GLP_MAX for max
+ * approximation factors (a1, the drift or slope is the
+ * largest) and GLP_MIN in the other case.
+ *
+ * Returns:
+ * If the calculation was successful, a new Factors struct. Otherwise, NULL.
+ * The calculation will fail if the hull assumptions are not respected.
+ */
+static Factors* calculateFactors(glp_prob* const lp, const int direction)
+{
+ int retval, status;
+ Factors* factors;
+
+ glp_set_obj_coef(lp, 1, 0.);
+ glp_set_obj_coef(lp, 2, 1.);
+
+ glp_set_obj_dir(lp, direction);
+ retval= glp_simplex(lp, NULL);
+ status= glp_get_status(lp);
+
+ if (retval == 0 && status == GLP_OPT)
+ {
+ factors= malloc(sizeof(Factors));
+ factors->offset= glp_get_col_prim(lp, 1);
+ factors->drift= glp_get_col_prim(lp, 2);
+ }
+ else
+ {
+ factors= NULL;
+ }
+
+ return factors;
+}
+
+
+/*
+ * Calculate min, max and approx correction factors (as possible) using an LP
+ * problem.
+ *
+ * Args:
+ * lp: A linear programming problem with constraints and bounds
+ * initialized.
+ *
+ * Returns:
+ * Please note that the approximation type may be MIDDLE, INCOMPLETE or
+ * ABSENT. Unlike in analysis_chull, ABSENT is also used when the hulls do
+ * not respect assumptions.
+ */
+static void calculateCompleteFactors(glp_prob* const lp, FactorsCHull* factors)
+{
+ factors->min= calculateFactors(lp, GLP_MIN);
+ factors->max= calculateFactors(lp, GLP_MAX);
+
+ if (factors->min && factors->max)
+ {
+ factors->type= MIDDLE;
+ calculateFactorsMiddle(factors);
+ }
+ else if (factors->min || factors->max)
+ {
+ factors->type= INCOMPLETE;
+ factors->approx= NULL;
+ }
+ else
+ {
+ factors->type= ABSENT;
+ factors->approx= NULL;
+ }
+}
+
+
+/*
+ * Create and initialize an array like AnalysisStatsCHull.allFactors
+ *
+ * Args:
+ * traceNb: number of traces
+ *
+ * Returns:
+ * A new array, which can be freed with freeAllFactors()
+ */
+static FactorsCHull** createAllFactors(const unsigned int traceNb)
+{
+ FactorsCHull** factorsArray;
+ unsigned int i;
+
+ factorsArray= malloc(traceNb * sizeof(FactorsCHull*));
+ for (i= 0; i < traceNb; i++)
+ {
+ factorsArray[i]= calloc((i + 1), sizeof(FactorsCHull));
+
+ factorsArray[i][i].type= EXACT;
+ factorsArray[i][i].approx= malloc(sizeof(Factors));
+ factorsArray[i][i].approx->drift= 1.;
+ factorsArray[i][i].approx->offset= 0.;
+ }
+
+ return factorsArray;
+}
+#endif
+
+
+/*
+ * Compute synchronization factors using a linear programming approach.
+ * Compute the factors using analysis_chull. Compare the two.
+ *
+ * There are two definitions of this function. The empty one is used when the
+ * solver library, glpk, is not available at build time. In that case, nothing
+ * is actually produced.
+ *
+ * Args:
+ * syncState: container for synchronization data
+ */
+#ifndef HAVE_LIBGLPK
+static inline void finalizeAnalysisEvalLP(SyncState* const syncState)
+{
+}
+#else
+static void finalizeAnalysisEvalLP(SyncState* const syncState)
+{
+ unsigned int i, j;
+ AnalysisDataEval* analysisData= syncState->analysisData;
+ AnalysisDataCHull* chAnalysisData= analysisData->chullSS->analysisData;
+ FactorsCHull** lpFactorsArray= createAllFactors(syncState->traceNb);
+ FactorsCHull* lpFactors;
+
+ if (!syncState->stats && !syncState->graphsStream)
+ {
+ return;
+ }
+
+ if ((syncState->graphsStream && analysisData->graphs->lps != NULL) ||
+ (syncState->stats && analysisData->stats->chFactorsArray != NULL))
+ {
+ return;
+ }
+
+ if (syncState->stats)
+ {
+ analysisData->stats->chFactorsArray=
+ calculateAllFactors(analysisData->chullSS);
+ analysisData->stats->lpFactorsArray= lpFactorsArray;
+ }
+
+ if (syncState->graphsStream)
+ {
+ analysisData->graphs->lps= malloc(syncState->traceNb *
+ sizeof(glp_prob**));
+ for (i= 0; i < syncState->traceNb; i++)
+ {
+ analysisData->graphs->lps[i]= malloc(i * sizeof(glp_prob*));
+ }
+ analysisData->graphs->lpFactorsArray= lpFactorsArray;
+ }
+
+ for (i= 0; i < syncState->traceNb; i++)
+ {
+ for (j= 0; j < i; j++)
+ {
+ glp_prob* lp;
+
+ // Create the LP problem
+ lp= lpCreateProblem(chAnalysisData->hullArray[i][j],
+ chAnalysisData->hullArray[j][i]);
+
+ // Use the LP problem to find the correction factors for this pair of
+ // traces
+ calculateCompleteFactors(lp, &lpFactorsArray[i][j]);
+
+ if (syncState->graphsStream)
+ {
+ analysisData->graphs->lps[i][j]= lp;
+ }
+ else
+ {
+ glp_delete_prob(lp);
+ destroyFactorsCHull(lpFactors);
+ }
+ }
+ }
+
+ g_array_free(analysisData->chullSS->analysisModule->finalizeAnalysis(analysisData->chullSS),
+ TRUE);
+}
+#endif
+
+
+/*
+ * Compute synchronization accuracy information using a linear programming
+ * approach. Write the neccessary data files and plot lines in the gnuplot
+ * script.
+ *
+ * There are two definitions of this function. The empty one is used when the
+ * solver library, glpk, is not available at build time. In that case, nothing
+ * is actually produced.
+ *
+ * Args:
+ * syncState: container for synchronization data
+ * i: first trace number
+ * j: second trace number, garanteed to be larger than i
+ */
+#ifndef HAVE_LIBGLPK
+static inline void writeAccuracyGraphs(SyncState* const syncState, const unsigned int
+ i, const unsigned int j)
+{
+}
+#else
+static void writeAccuracyGraphs(SyncState* const syncState, const unsigned int
+ i, const unsigned int j)
+{
+ unsigned int it;
+ AnalysisDataEval* analysisData= syncState->analysisData;
+ AnalysisGraphsEval* graphs= analysisData->graphs;
+ GQueue*** hullArray= ((AnalysisDataCHull*)
+ analysisData->chullSS->analysisData)->hullArray;
+ FactorsCHull* lpFactors= &graphs->lpFactorsArray[j][i];
+ glp_prob* lp= graphs->lps[j][i];
+
+ if (lpFactors->type == MIDDLE)
+ {
+ int retval;
+ char* cwd;
+ char fileName[40];
+ FILE* fp;
+ double* xValues;
+ unsigned int xBegin, xEnd;
+ double interval;
+ const unsigned int graphPointNb= 1000;
+
+ // Open the data file
+ snprintf(fileName, 40, "analysis_eval_accuracy-%03u_and_%03u.data", i, j);
+ fileName[sizeof(fileName) - 1]= '\0';
+
+ cwd= changeToGraphDir(syncState->graphsDir);
+
+ if ((fp= fopen(fileName, "w")) == NULL)
+ {
+ g_error(strerror(errno));
+ }
+ fprintf(fp, "#%-24s %-25s %-25s %-25s\n", "x", "middle", "min", "max");
+
+ retval= chdir(cwd);
+ if (retval == -1)
+ {
+ g_error(strerror(errno));
+ }
+ free(cwd);
+
+ // Build the list of absisca values for the points in the accuracy graph
+ g_assert_cmpuint(graphPointNb, >=, 4);
+ xValues= malloc(graphPointNb * sizeof(double));
+ xValues[0]= graphs->bounds[j][i].min;
+ xValues[graphPointNb - 1]= graphs->bounds[j][i].max;
+ xValues[1]= MIN(((Point*) g_queue_peek_head(hullArray[i][j]))->x,
+ ((Point*) g_queue_peek_head(hullArray[j][i]))->x);
+ xValues[graphPointNb - 2]= MAX(((Point*)
+ g_queue_peek_tail(hullArray[i][j]))->x, ((Point*)
+ g_queue_peek_tail(hullArray[j][i]))->x);
+
+ if (xValues[0] == xValues[1])
+ {
+ xBegin= 0;
+ }
+ else
+ {
+ xBegin= 1;
+ }
+ if (xValues[graphPointNb - 2] == xValues[graphPointNb - 1])
+ {
+ xEnd= graphPointNb - 1;
+ }
+ else
+ {
+ xEnd= graphPointNb - 2;
+ }
+ interval= (xValues[xEnd] - xValues[xBegin]) / (graphPointNb - 1);
+
+ for (it= xBegin; it <= xEnd; it++)
+ {
+ xValues[it]= xValues[xBegin] + interval * (it - xBegin);
+ }
+
+ /* For each absisca value and each optimisation direction, solve the LP
+ * and write a line in the data file */
+ for (it= 0; it < graphPointNb; it++)
+ {
+ unsigned int it2;
+ int directions[]= {GLP_MIN, GLP_MAX};
+
+ glp_set_obj_coef(lp, 1, 1.);
+ glp_set_obj_coef(lp, 2, xValues[it]);
+
+ fprintf(fp, "%25.9f %25.9f", xValues[it], lpFactors->approx->offset
+ + lpFactors->approx->drift * xValues[it]);
+ for (it2= 0; it2 < sizeof(directions) / sizeof(*directions); it2++)
+ {
+ int status;
+
+ glp_set_obj_dir(lp, directions[it2]);
+ retval= glp_simplex(lp, NULL);
+ status= glp_get_status(lp);
+
+ g_assert(retval == 0 && status == GLP_OPT);
+ fprintf(fp, " %25.9f", glp_get_obj_val(lp));
+ }
+ fprintf(fp, "\n");
+ }
+
+ free(xValues);
+ fclose(fp);
+
+ fprintf(syncState->graphsStream,
+ "\t\"analysis_eval_accuracy-%1$03u_and_%2$03u.data\" "
+ "using 1:(($3 - $2) / clock_freq_%2$u):(($4 - $2) / clock_freq_%2$u) "
+ "title \"Synchronization accuracy\" "
+ "with filledcurves linewidth 2 linetype 1 "
+ "linecolor rgb \"black\" fill solid 0.25 noborder, \\\n", i,
+ j);
+ }
+}
+#endif
+
+
+/*
+ * Write the analysis-specific graph lines in the gnuplot script.
+ *
+ * Args:
+ * syncState: container for synchronization data
+ * i: first trace number
+ * j: second trace number, garanteed to be larger than i
+ */
+static void writeAnalysisTraceTimePlotsEval(SyncState* const syncState, const
+ unsigned int i, const unsigned int j)
+{
+ AnalysisDataEval* analysisData= syncState->analysisData;
+ AnalysisGraphsEval* graphs= analysisData->graphs;
+ GQueue*** hullArray= ((AnalysisDataCHull*)
+ analysisData->chullSS->analysisData)->hullArray;
+
+ printf("Between %u and %u:\n", i, j);
+ printf("\tbounds min %llu max %llu\n", graphs->bounds[j][i].min,
+ graphs->bounds[j][i].max);
+ printf("\tnumber of points in lower half-hull %u upper half-hull %u\n",
+ g_queue_get_length(hullArray[j][i]),
+ g_queue_get_length(hullArray[i][j]));
+
+ writeAccuracyGraphs(syncState, i, j);
+}
+
+
+static void writeAnalysisTraceTracePlotsEval(SyncState* const syncState, const
+ unsigned int i, const unsigned int j)
+{
+ AnalysisDataEval* analysisData= syncState->analysisData;
+
+#ifdef HAVE_LIBGLPK
+ fprintf(syncState->graphsStream,
+ "\t\"analysis_eval_accuracy-%1$03u_and_%2$03u.data\" "
+ "using 1:3:4 "
+ "title \"Synchronization accuracy\" "
+ "with filledcurves linewidth 2 linetype 1 "
+ "linecolor rgb \"black\" fill solid 0.25 noborder, \\\n", i, j);
+#endif
+
+ analysisData->chullSS->analysisModule->graphFunctions.writeTraceTracePlots(analysisData->chullSS,
+ i, j);
+}