UPPER
} HullType;
-
typedef enum
{
MINIMUM,
MAXIMUM
} LineType;
+#ifdef HAVE_LIBGLPK
+struct LPAddRowInfo
+{
+ glp_prob* lp;
+ int boundType;
+ GArray* iArray, * jArray, * aArray;
+};
+#endif
+
// Functions common to all analysis modules
static void initAnalysisCHull(SyncState* const syncState);
static void analyzeMessageCHull(SyncState* const syncState, Message* const
message);
-static GArray* finalizeAnalysisCHull(SyncState* const syncState);
+static AllFactors* finalizeAnalysisCHull(SyncState* const syncState);
static void printAnalysisStatsCHull(SyncState* const syncState);
-static void writeAnalysisGraphsPlotsCHull(SyncState* const syncState, const
- unsigned int i, const unsigned int j);
+static void writeAnalysisTraceTraceForePlotsCHull(SyncState* const syncState,
+ const unsigned int i, const unsigned int j);
// Functions specific to this module
static void openGraphFiles(SyncState* const syncState);
static void writeGraphFiles(SyncState* const syncState);
static void gfDumpHullToFile(gpointer data, gpointer userData);
+AllFactors* calculateAllFactors(struct _SyncState* const syncState);
+void calculateFactorsMiddle(PairFactors* const factors);
+static Factors* calculateFactorsExact(GQueue* const cu, GQueue* const cl, const
+ LineType lineType) __attribute__((pure));
+static void calculateFactorsFallback(GQueue* const cr, GQueue* const cs,
+ PairFactors* const result);
static void grahamScan(GQueue* const hull, Point* const newPoint, const
HullType type);
static int jointCmp(const Point* const p1, const Point* const p2, const Point*
const p3) __attribute__((pure));
static double crossProductK(const Point const* p1, const Point const* p2,
const Point const* p3, const Point const* p4) __attribute__((pure));
-static Factors* calculateFactorsExact(GQueue* const cu, GQueue* const cl, const
- LineType lineType) __attribute__((pure));
-static void calculateFactorsFallback(GQueue* const cr, GQueue* const cs,
- FactorsCHull* const result);
static double slope(const Point* const p1, const Point* const p2)
__attribute__((pure));
static double intercept(const Point* const p1, const Point* const p2)
__attribute__((pure));
-static GArray* reduceFactors(SyncState* const syncState, FactorsCHull**
- allFactors);
static double verticalDistance(Point* p1, Point* p2, Point* const point)
__attribute__((pure));
-static void floydWarshall(SyncState* const syncState, FactorsCHull** const
- allFactors, double*** const distances, unsigned int*** const
- predecessors);
-static void getFactors(FactorsCHull** const allFactors, unsigned int** const
- predecessors, unsigned int* const references, const unsigned int traceNum,
- Factors* const factors);
static void gfPointDestroy(gpointer data, gpointer userData);
+// The next group of functions is only needed when computing synchronization
+// accuracy.
+#ifdef HAVE_LIBGLPK
+static AllFactors* finalizeAnalysisCHullLP(SyncState* const syncState);
+static void writeAnalysisTraceTimeBackPlotsCHull(SyncState* const syncState,
+ const unsigned int i, const unsigned int j);
+static void writeAnalysisTraceTimeForePlotsCHull(SyncState* const syncState,
+ const unsigned int i, const unsigned int j);
+static void writeAnalysisTraceTraceBackPlotsCHull(SyncState* const syncState,
+ const unsigned int i, const unsigned int j);
+
+static glp_prob* lpCreateProblem(GQueue* const lowerHull, GQueue* const
+ upperHull);
+static void gfLPAddRow(gpointer data, gpointer user_data);
+static Factors* calculateFactorsLP(glp_prob* const lp, const int direction);
+static void calculateCompleteFactorsLP(glp_prob* const lp, PairFactors*
+ factors);
+void timeCorrectionLP(glp_prob* const lp, const PairFactors* const lpFactors,
+ const uint64_t time, CorrectedTime* const correctedTime);
+
+static void gfAddAbsiscaToArray(gpointer data, gpointer user_data);
+static gint gcfCompareUint64(gconstpointer a, gconstpointer b);
+#else
+static inline AllFactors* finalizeAnalysisCHullLP(SyncState* const syncState)
+{
+ return NULL;
+}
+#endif
+
+
static AnalysisModule analysisModuleCHull= {
.name= "chull",
.finalizeAnalysis= &finalizeAnalysisCHull,
.printAnalysisStats= &printAnalysisStatsCHull,
.graphFunctions= {
- .writeTraceTraceForePlots= &writeAnalysisGraphsPlotsCHull,
+#ifdef HAVE_LIBGLPK
+ .writeTraceTimeBackPlots= &writeAnalysisTraceTimeBackPlotsCHull,
+ .writeTraceTimeForePlots= &writeAnalysisTraceTimeForePlotsCHull,
+ .writeTraceTraceBackPlots= &writeAnalysisTraceTraceBackPlotsCHull,
+#endif
+ .writeTraceTraceForePlots= &writeAnalysisTraceTraceForePlotsCHull,
}
};
-const char* const approxNames[]= {
- [EXACT]= "Exact",
- [MIDDLE]= "Middle",
- [FALLBACK]= "Fallback",
- [INCOMPLETE]= "Incomplete",
- [ABSENT]= "Absent",
- [SCREWED]= "Screwed",
-};
-
/*
* Analysis module registering function
analysisData->hullArray[i][j]= g_queue_new();
}
}
+#ifdef HAVE_LIBGLPK
+ analysisData->lps= NULL;
+#endif
if (syncState->stats)
{
- analysisData->stats= malloc(sizeof(AnalysisStatsCHull));
- analysisData->stats->dropped= 0;
- analysisData->stats->allFactors= NULL;
+ analysisData->stats= calloc(1, sizeof(AnalysisStatsCHull));
}
if (syncState->graphsStream)
{
- analysisData->graphsData= malloc(sizeof(AnalysisGraphsDataCHull));
+ analysisData->graphsData= calloc(1, sizeof(AnalysisGraphsDataCHull));
openGraphFiles(syncState);
- analysisData->graphsData->allFactors= NULL;
}
}
if ((analysisData->graphsData->hullPoints[i][j]= fopen(name, "w")) ==
NULL)
{
- g_error(strerror(errno));
+ g_error("%s", strerror(errno));
}
}
}
retval= chdir(cwd);
if (retval == -1)
{
- g_error(strerror(errno));
+ g_error("%s", strerror(errno));
}
free(cwd);
}
retval= fclose(analysisData->graphsData->hullPoints[i][j]);
if (retval != 0)
{
- g_error(strerror(errno));
+ g_error("%s", strerror(errno));
}
}
}
{
for (j= 0; j < syncState->traceNb; j++)
{
- g_queue_foreach(analysisData->hullArray[i][j], gfPointDestroy, NULL);
+ g_queue_foreach(analysisData->hullArray[i][j], gfPointDestroy,
+ NULL);
g_queue_free(analysisData->hullArray[i][j]);
}
free(analysisData->hullArray[i]);
}
free(analysisData->hullArray);
- if (syncState->stats)
+#ifdef HAVE_LIBGLPK
+ if (analysisData->lps != NULL)
{
- if (analysisData->stats->allFactors != NULL)
+ for (i= 0; i < syncState->traceNb; i++)
{
- freeAllFactors(syncState->traceNb, analysisData->stats->allFactors);
+ unsigned int j;
+
+ for (j= 0; j < i; j++)
+ {
+ glp_delete_prob(analysisData->lps[i][j]);
+ }
+ free(analysisData->lps[i]);
}
+ free(analysisData->lps);
+
+ /* Be careful, this invalidates all problem objects which still exist.
+ * Don't keep copies of lps past this point. */
+ glp_free_env();
+ }
+#endif
+
+ if (syncState->stats)
+ {
+ freeAllFactors(analysisData->stats->allFactors, syncState->traceNb);
+ freeAllFactors(analysisData->stats->geoFactors, syncState->traceNb);
+
+#ifdef HAVE_LIBGLPK
+ freeAllFactors(analysisData->stats->lpFactors, syncState->traceNb);
+#endif
free(analysisData->stats);
}
if (syncState->graphsStream)
{
- if (analysisData->graphsData->hullPoints != NULL)
+ AnalysisGraphsDataCHull* graphs= analysisData->graphsData;
+
+ if (graphs->hullPoints != NULL)
{
closeGraphFiles(syncState);
}
- if (!syncState->stats && analysisData->graphsData->allFactors != NULL)
- {
- freeAllFactors(syncState->traceNb, analysisData->graphsData->allFactors);
- }
+ freeAllFactors(graphs->allFactors, syncState->traceNb);
+
+#ifdef HAVE_LIBGLPK
+ freeAllFactors(graphs->lpFactors, syncState->traceNb);
+#endif
free(analysisData->graphsData);
}
* syncState container for synchronization data.
*
* Returns:
- * Factors[traceNb] synchronization factors for each trace
+ * AllFactors* synchronization factors for each trace pair, the caller is
+ * responsible for freeing the structure
*/
-static GArray* finalizeAnalysisCHull(SyncState* const syncState)
+static AllFactors* finalizeAnalysisCHull(SyncState* const syncState)
{
AnalysisDataCHull* analysisData;
- GArray* factors;
- FactorsCHull** allFactors;
+ AllFactors* geoFactors, * lpFactors;
analysisData= (AnalysisDataCHull*) syncState->analysisData;
closeGraphFiles(syncState);
}
- allFactors= calculateAllFactors(syncState);
+ geoFactors= calculateAllFactors(syncState);
+ lpFactors= finalizeAnalysisCHullLP(syncState);
- factors= reduceFactors(syncState, allFactors);
-
- if (syncState->stats || syncState->graphsStream)
+ if (syncState->stats)
{
- if (syncState->stats)
+ geoFactors->refCount++;
+ analysisData->stats->geoFactors= geoFactors;
+
+ if (lpFactors != NULL)
{
- analysisData->stats->allFactors= allFactors;
+ lpFactors->refCount++;
+ analysisData->stats->allFactors= lpFactors;
}
+ else
+ {
+ geoFactors->refCount++;
+ analysisData->stats->allFactors= geoFactors;
+ }
+ }
- if (syncState->graphsStream)
+ if (syncState->graphsStream)
+ {
+ if (lpFactors != NULL)
+ {
+ lpFactors->refCount++;
+ analysisData->graphsData->allFactors= lpFactors;
+ }
+ else
{
- analysisData->graphsData->allFactors= allFactors;
+ geoFactors->refCount++;
+ analysisData->graphsData->allFactors= geoFactors;
}
}
+
+ if (lpFactors != NULL)
+ {
+ freeAllFactors(geoFactors, syncState->traceNb);
+ return lpFactors;
+ }
else
{
- freeAllFactors(syncState->traceNb, allFactors);
+ freeAllFactors(lpFactors, syncState->traceNb);
+ return geoFactors;
}
-
- return factors;
}
{
for (j= i + 1; j < syncState->traceNb; j++)
{
- FactorsCHull* factorsCHull;
+ PairFactors* factorsCHull;
- factorsCHull= &analysisData->stats->allFactors[j][i];
+ factorsCHull= &analysisData->stats->allFactors->pairFactors[j][i];
printf("\t\t%3d - %-3d: %s", i, j,
approxNames[factorsCHull->type]);
factorsCHull->approx->drift < 0. ? '-' : '+',
fabs(factorsCHull->approx->drift));
}
- else if (factorsCHull->type == MIDDLE)
+ else if (factorsCHull->type == ACCURATE)
{
- printf(" a0= % 7g a1= 1 %c %7g accuracy %7g\n",
- factorsCHull->approx->offset, factorsCHull->approx->drift
- - 1. < 0. ? '-' : '+', fabs(factorsCHull->approx->drift -
- 1.), factorsCHull->accuracy);
- printf("\t\t a0: % 7g to % 7g (delta= %7g)\n",
+ printf("\n\t\t a0: % 7g to % 7g (delta= %7g)\n",
factorsCHull->max->offset, factorsCHull->min->offset,
factorsCHull->min->offset - factorsCHull->max->offset);
printf("\t\t a1: 1 %+7g to %+7g (delta= %7g)\n",
factorsCHull->min->drift - 1., factorsCHull->max->drift -
1., factorsCHull->max->drift - factorsCHull->min->drift);
}
- else if (factorsCHull->type == FALLBACK)
+ else if (factorsCHull->type == APPROXIMATE)
{
printf(" a0= % 7g a1= 1 %c %7g error= %7g\n",
factorsCHull->approx->offset, factorsCHull->approx->drift
1.));
}
}
- else if (factorsCHull->type == SCREWED)
+ else if (factorsCHull->type == FAIL)
{
printf("\n");
}
}
}
+
+#ifdef HAVE_LIBGLPK
+ printf("\tFactor comparison:\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++)
+ {
+ PairFactors* geoFactors=
+ &analysisData->stats->geoFactors->pairFactors[i][j];
+ PairFactors* lpFactors=
+ &analysisData->stats->lpFactors->pairFactors[i][j];
+
+ printf("\t\t%3d - %-3d ", i, j);
+ if (lpFactors->type == geoFactors->type)
+ {
+ if (lpFactors->type == ACCURATE)
+ {
+ printf("%-13s %-10.4g %-10.4g %-10.4g %.4g\n",
+ approxNames[lpFactors->type],
+ lpFactors->min->offset - geoFactors->min->offset,
+ lpFactors->max->offset - geoFactors->max->offset,
+ lpFactors->min->drift - geoFactors->min->drift,
+ lpFactors->max->drift - geoFactors->max->drift);
+ }
+ else if (lpFactors->type == ABSENT)
+ {
+ printf("%s\n", approxNames[lpFactors->type]);
+ }
+ }
+ else
+ {
+ printf("Different! %s and %s\n", approxNames[lpFactors->type],
+ approxNames[geoFactors->type]);
+ }
+ }
+ }
+#endif
}
}
-/*
- * Free a container of FactorsCHull
- *
- * Args:
- * traceNb: number of traces
- * allFactors: container of FactorsCHull
- */
-void freeAllFactors(const unsigned int traceNb, FactorsCHull** const
- allFactors)
-{
- unsigned int i, j;
-
- for (i= 0; i < traceNb; i++)
- {
- for (j= 0; j <= i; j++)
- {
- destroyFactorsCHull(&allFactors[i][j]);
- }
- free(allFactors[i]);
- }
- free(allFactors);
-}
-
-
-/*
- * Free a FactorsCHull
- *
- * Args:
- * factorsCHull: container of Factors
- */
-void destroyFactorsCHull(FactorsCHull* factorsCHull)
-{
- if (factorsCHull->type == MIDDLE || factorsCHull->type ==
- INCOMPLETE || factorsCHull->type == ABSENT)
- {
- free(factorsCHull->min);
- free(factorsCHull->max);
- }
- else if (factorsCHull->type == SCREWED)
- {
- if (factorsCHull->min != NULL)
- {
- free(factorsCHull->min);
- }
- if (factorsCHull->max != NULL)
- {
- free(factorsCHull->max);
- }
- }
-
- if (factorsCHull->type == EXACT || factorsCHull->type == MIDDLE ||
- factorsCHull->type == FALLBACK)
- {
- free(factorsCHull->approx);
- }
-}
-
-
/*
* Analyze the convex hulls to determine the synchronization factors between
* each pair of trace.
* syncState container for synchronization data.
*
* Returns:
- * FactorsCHull*[TraceNum][TraceNum] array. See the documentation for the
- * member allFactors of AnalysisStatsCHull.
+ * AllFactors*, see the documentation for the member geoFactors of
+ * AnalysisStatsCHull.
*/
-FactorsCHull** calculateAllFactors(SyncState* const syncState)
+AllFactors* calculateAllFactors(SyncState* const syncState)
{
unsigned int traceNumA, traceNumB;
- FactorsCHull** allFactors;
+ AllFactors* geoFactors;
AnalysisDataCHull* analysisData;
analysisData= (AnalysisDataCHull*) syncState->analysisData;
- // Allocate allFactors and calculate min and max
- allFactors= malloc(syncState->traceNb * sizeof(FactorsCHull*));
+ // Allocate geoFactors and calculate min and max
+ geoFactors= createAllFactors(syncState->traceNb);
for (traceNumA= 0; traceNumA < syncState->traceNb; traceNumA++)
{
- allFactors[traceNumA]= malloc((traceNumA + 1) * sizeof(FactorsCHull));
-
- allFactors[traceNumA][traceNumA].type= EXACT;
- allFactors[traceNumA][traceNumA].approx= malloc(sizeof(Factors));
- allFactors[traceNumA][traceNumA].approx->drift= 1.;
- allFactors[traceNumA][traceNumA].approx->offset= 0.;
-
for (traceNumB= 0; traceNumB < traceNumA; traceNumB++)
{
unsigned int i;
LineType lineType;
size_t factorsOffset;
} loopValues[]= {
- {MINIMUM, offsetof(FactorsCHull, min)},
- {MAXIMUM, offsetof(FactorsCHull, max)}
+ {MINIMUM, offsetof(PairFactors, min)},
+ {MAXIMUM, offsetof(PairFactors, max)}
};
cr= analysisData->hullArray[traceNumB][traceNumA];
for (i= 0; i < sizeof(loopValues) / sizeof(*loopValues); i++)
{
- g_debug("allFactors[%u][%u].%s = calculateFactorsExact(cr= hullArray[%u][%u], cs= hullArray[%u][%u], %s)",
+ g_debug("geoFactors[%u][%u].%s = calculateFactorsExact(cr= "
+ "hullArray[%u][%u], cs= hullArray[%u][%u], %s)",
traceNumA, traceNumB, loopValues[i].factorsOffset ==
- offsetof(FactorsCHull, min) ? "min" : "max", traceNumB,
+ offsetof(PairFactors, min) ? "min" : "max", traceNumB,
traceNumA, traceNumA, traceNumB, loopValues[i].lineType ==
MINIMUM ? "MINIMUM" : "MAXIMUM");
- *((Factors**) ((void*) &allFactors[traceNumA][traceNumB] +
+ *((Factors**) ((void*)
+ &geoFactors->pairFactors[traceNumA][traceNumB] +
loopValues[i].factorsOffset))=
calculateFactorsExact(cr, cs, loopValues[i].lineType);
}
{
for (traceNumB= 0; traceNumB < traceNumA; traceNumB++)
{
- FactorsCHull* factorsCHull;
+ PairFactors* factorsCHull;
- factorsCHull= &allFactors[traceNumA][traceNumB];
+ factorsCHull= &geoFactors->pairFactors[traceNumA][traceNumB];
if (factorsCHull->min == NULL && factorsCHull->max == NULL)
{
- factorsCHull->type= FALLBACK;
+ factorsCHull->type= APPROXIMATE;
calculateFactorsFallback(analysisData->hullArray[traceNumB][traceNumA],
analysisData->hullArray[traceNumA][traceNumB],
- &allFactors[traceNumA][traceNumB]);
+ &geoFactors->pairFactors[traceNumA][traceNumB]);
}
else if (factorsCHull->min != NULL && factorsCHull->max != NULL)
{
if (factorsCHull->min->drift != -INFINITY &&
factorsCHull->max->drift != INFINITY)
{
- factorsCHull->type= MIDDLE;
+ factorsCHull->type= ACCURATE;
calculateFactorsMiddle(factorsCHull);
}
else if (factorsCHull->min->drift != -INFINITY ||
else
{
//g_assert_not_reached();
- factorsCHull->type= SCREWED;
+ factorsCHull->type= FAIL;
}
}
}
- return allFactors;
+ return geoFactors;
}
* Args:
* factors: contains the min and max limits, used to store the result
*/
-void calculateFactorsMiddle(FactorsCHull* const factors)
+void calculateFactorsMiddle(PairFactors* const factors)
{
double amin, amax, bmin, bmax, bhat;
* will be stored
*/
static void calculateFactorsFallback(GQueue* const cr, GQueue* const cs,
- FactorsCHull* const result)
+ PairFactors* const result)
{
unsigned int i, j, k;
double errorMin;
}
-/*
- * Calculate a resulting offset and drift for each trace.
- *
- * Traces are assembled in groups. A group is an "island" of nodes/traces that
- * exchanged messages. A reference is determined for each group by using a
- * shortest path search based on the accuracy of the approximation. This also
- * forms a tree of the best way to relate each node's clock to the reference's
- * based on the accuracy. Sometimes it may be necessary or advantageous to
- * propagate the factors through intermediary clocks. Resulting factors for
- * each trace are determined based on this tree.
- *
- * This part was not the focus of my research. The algorithm used here is
- * inexact in some ways:
- * 1) The reference used may not actually be the best one to use. This is
- * because the accuracy is not corrected based on the drift during the
- * shortest path search.
- * 2) The min and max factors are not propagated and are no longer valid.
- * 3) Approximations of different types (MIDDLE and FALLBACK) are compared
- * together. The "accuracy" parameters of these have different meanings and
- * are not readily comparable.
- *
- * Nevertheless, the result is satisfactory. You just can't tell "how much" it
- * is.
- *
- * Two alternative (and subtly different) ways of propagating factors to
- * preserve min and max bondaries have been proposed, see:
- * [Duda, A., Harrus, G., Haddad, Y., and Bernard, G.: Estimating global time
- * in distributed systems, Proc. 7th Int. Conf. on Distributed Computing
- * Systems, Berlin, volume 18, 1987] p.304
- *
- * [Jezequel, J.M., and Jard, C.: Building a global clock for observing
- * computations in distributed memory parallel computers, Concurrency:
- * Practice and Experience 8(1), volume 8, John Wiley & Sons, Ltd Chichester,
- * 1996, 32] Section 5; which is mostly the same as
- * [Jezequel, J.M.: Building a global time on parallel machines, Proceedings
- * of the 3rd International Workshop on Distributed Algorithms, LNCS, volume
- * 392, 136–147, 1989] Section 5
- *
- * Args:
- * syncState: container for synchronization data.
- * allFactors: offset and drift between each pair of traces
- *
- * Returns:
- * Factors[traceNb] synchronization factors for each trace
- */
-static GArray* reduceFactors(SyncState* const syncState, FactorsCHull** const
- allFactors)
-{
- GArray* factors;
- double** distances;
- unsigned int** predecessors;
- double* distanceSums;
- unsigned int* references;
- unsigned int i, j;
-
- // Solve the all-pairs shortest path problem using the Floyd-Warshall
- // algorithm
- floydWarshall(syncState, allFactors, &distances, &predecessors);
-
- /* Find the reference for each node
- *
- * First calculate, for each node, the sum of the distances to each other
- * node it can reach.
- *
- * Then, go through each "island" of traces to find the trace that has the
- * lowest distance sum. Assign this trace as the reference to each trace
- * of the island.
- */
- distanceSums= malloc(syncState->traceNb * sizeof(double));
- for (i= 0; i < syncState->traceNb; i++)
- {
- distanceSums[i]= 0.;
- for (j= 0; j < syncState->traceNb; j++)
- {
- distanceSums[i]+= distances[i][j];
- }
- }
-
- references= malloc(syncState->traceNb * sizeof(unsigned int));
- for (i= 0; i < syncState->traceNb; i++)
- {
- references[i]= UINT_MAX;
- }
- for (i= 0; i < syncState->traceNb; i++)
- {
- if (references[i] == UINT_MAX)
- {
- unsigned int reference;
- double distanceSumMin;
-
- // A node is its own reference by default
- reference= i;
- distanceSumMin= INFINITY;
- for (j= 0; j < syncState->traceNb; j++)
- {
- if (distances[i][j] != INFINITY && distanceSums[j] <
- distanceSumMin)
- {
- reference= j;
- distanceSumMin= distanceSums[j];
- }
- }
- for (j= 0; j < syncState->traceNb; j++)
- {
- if (distances[i][j] != INFINITY)
- {
- references[j]= reference;
- }
- }
- }
- }
-
- for (i= 0; i < syncState->traceNb; i++)
- {
- free(distances[i]);
- }
- free(distances);
- free(distanceSums);
-
- /* For each trace, calculate the factors based on their corresponding
- * tree. The tree is rooted at the reference and the shortest path to each
- * other nodes are the branches.
- */
- factors= g_array_sized_new(FALSE, FALSE, sizeof(Factors),
- syncState->traceNb);
- g_array_set_size(factors, syncState->traceNb);
- for (i= 0; i < syncState->traceNb; i++)
- {
- getFactors(allFactors, predecessors, references, i, &g_array_index(factors,
- Factors, i));
- }
-
- for (i= 0; i < syncState->traceNb; i++)
- {
- free(predecessors[i]);
- }
- free(predecessors);
- free(references);
-
- return factors;
-}
-
-
-/*
- * Perform an all-source shortest path search using the Floyd-Warshall
- * algorithm.
- *
- * The algorithm is implemented accoding to the description here:
- * http://web.mit.edu/urban_or_book/www/book/chapter6/6.2.2.html
- *
- * Args:
- * syncState: container for synchronization data.
- * allFactors: offset and drift between each pair of traces
- * distances: resulting matrix of the length of the shortest path between
- * two nodes. If there is no path between two nodes, the
- * length is INFINITY
- * predecessors: resulting matrix of each node's predecessor on the shortest
- * path between two nodes
- */
-static void floydWarshall(SyncState* const syncState, FactorsCHull** const
- allFactors, double*** const distances, unsigned int*** const
- predecessors)
-{
- unsigned int i, j, k;
-
- // Setup initial conditions
- *distances= malloc(syncState->traceNb * sizeof(double*));
- *predecessors= malloc(syncState->traceNb * sizeof(unsigned int*));
- for (i= 0; i < syncState->traceNb; i++)
- {
- (*distances)[i]= malloc(syncState->traceNb * sizeof(double));
- for (j= 0; j < syncState->traceNb; j++)
- {
- if (i == j)
- {
- g_assert(allFactors[i][j].type == EXACT);
-
- (*distances)[i][j]= 0.;
- }
- else
- {
- unsigned int row, col;
-
- if (i > j)
- {
- row= i;
- col= j;
- }
- else if (i < j)
- {
- row= j;
- col= i;
- }
-
- if (allFactors[row][col].type == MIDDLE ||
- allFactors[row][col].type == FALLBACK)
- {
- (*distances)[i][j]= allFactors[row][col].accuracy;
- }
- else if (allFactors[row][col].type == INCOMPLETE ||
- allFactors[row][col].type == SCREWED ||
- allFactors[row][col].type == ABSENT)
- {
- (*distances)[i][j]= INFINITY;
- }
- else
- {
- g_assert_not_reached();
- }
- }
- }
-
- (*predecessors)[i]= malloc(syncState->traceNb * sizeof(unsigned int));
- for (j= 0; j < syncState->traceNb; j++)
- {
- if (i != j)
- {
- (*predecessors)[i][j]= i;
- }
- else
- {
- (*predecessors)[i][j]= UINT_MAX;
- }
- }
- }
-
- // Run the iterations
- for (k= 0; k < syncState->traceNb; k++)
- {
- for (i= 0; i < syncState->traceNb; i++)
- {
- for (j= 0; j < syncState->traceNb; j++)
- {
- double distanceMin;
-
- distanceMin= MIN((*distances)[i][j], (*distances)[i][k] +
- (*distances)[k][j]);
-
- if (distanceMin != (*distances)[i][j])
- {
- (*predecessors)[i][j]= (*predecessors)[k][j];
- }
-
- (*distances)[i][j]= distanceMin;
- }
- }
- }
-}
-
-
-/*
- * Cummulate the time correction factors to convert a node's time to its
- * reference's time.
- * This function recursively calls itself until it reaches the reference node.
- *
- * Args:
- * allFactors: offset and drift between each pair of traces
- * predecessors: matrix of each node's predecessor on the shortest
- * path between two nodes
- * references: reference node for each node
- * traceNum: node for which to find the factors
- * factors: resulting factors
- */
-static void getFactors(FactorsCHull** const allFactors, unsigned int** const
- predecessors, unsigned int* const references, const unsigned int traceNum,
- Factors* const factors)
-{
- unsigned int reference;
-
- reference= references[traceNum];
-
- if (reference == traceNum)
- {
- factors->offset= 0.;
- factors->drift= 1.;
- }
- else
- {
- Factors previousVertexFactors;
-
- getFactors(allFactors, predecessors, references,
- predecessors[reference][traceNum], &previousVertexFactors);
-
- // convertir de traceNum à reference
-
- // allFactors convertit de col à row
-
- if (reference > traceNum)
- {
- factors->offset= previousVertexFactors.drift *
- allFactors[reference][traceNum].approx->offset +
- previousVertexFactors.offset;
- factors->drift= previousVertexFactors.drift *
- allFactors[reference][traceNum].approx->drift;
- }
- else
- {
- factors->offset= previousVertexFactors.drift * (-1. *
- allFactors[traceNum][reference].approx->offset /
- allFactors[traceNum][reference].approx->drift) +
- previousVertexFactors.offset;
- factors->drift= previousVertexFactors.drift * (1. /
- allFactors[traceNum][reference].approx->drift);
- }
- }
-}
-
-
/*
* Write the analysis-specific graph lines in the gnuplot script.
*
* i: first trace number
* j: second trace number, garanteed to be larger than i
*/
-void writeAnalysisGraphsPlotsCHull(SyncState* const syncState, const unsigned
+void writeAnalysisTraceTraceForePlotsCHull(SyncState* const syncState, const unsigned
int i, const unsigned int j)
{
AnalysisDataCHull* analysisData;
- FactorsCHull* factorsCHull;
+ PairFactors* factorsCHull;
analysisData= (AnalysisDataCHull*) syncState->analysisData;
"linecolor rgb \"#003366\" linetype 4 pointtype 10 pointsize 0.8, \\\n",
i, j);
- factorsCHull= &analysisData->graphsData->allFactors[j][i];
+ factorsCHull= &analysisData->graphsData->allFactors->pairFactors[j][i];
if (factorsCHull->type == EXACT)
{
fprintf(syncState->graphsStream,
"linecolor rgb \"black\" linetype 1, \\\n",
factorsCHull->approx->offset, factorsCHull->approx->drift);
}
- else if (factorsCHull->type == MIDDLE)
+ else if (factorsCHull->type == ACCURATE)
{
fprintf(syncState->graphsStream,
"\t%.2f + %.10f * x "
"linecolor rgb \"black\" linetype 1, \\\n",
factorsCHull->approx->offset, factorsCHull->approx->drift);
}
- else if (factorsCHull->type == FALLBACK)
+ else if (factorsCHull->type == APPROXIMATE)
{
fprintf(syncState->graphsStream,
"\t%.2f + %.10f * x "
factorsCHull->max->offset, factorsCHull->max->drift);
}
}
- else if (factorsCHull->type == SCREWED)
+ else if (factorsCHull->type == FAIL)
{
if (factorsCHull->min != NULL && factorsCHull->min->drift != -INFINITY)
{
g_assert_not_reached();
}
}
+
+
+#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);
+ if (hullPointNb > 0)
+ {
+ 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* calculateFactorsLP(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.
+ * factors Resulting factors, must be preallocated
+ */
+static void calculateCompleteFactorsLP(glp_prob* const lp, PairFactors* factors)
+{
+ factors->min= calculateFactorsLP(lp, GLP_MIN);
+ factors->max= calculateFactorsLP(lp, GLP_MAX);
+
+ if (factors->min && factors->max)
+ {
+ factors->type= ACCURATE;
+ calculateFactorsMiddle(factors);
+ }
+ else if (factors->min || factors->max)
+ {
+ factors->type= INCOMPLETE;
+ }
+ else
+ {
+ factors->type= ABSENT;
+ }
+}
+
+
+/*
+ * A GFunc for g_queue_foreach()
+ *
+ * Args:
+ * data Point*, a convex hull point
+ * user_data GArray*, an array of convex hull point absisca values, as
+ * uint64_t
+ */
+static void gfAddAbsiscaToArray(gpointer data, gpointer user_data)
+{
+ Point* p= data;
+ GArray* a= user_data;
+ uint64_t v= p->x;
+
+ g_array_append_val(a, v);
+}
+
+
+/*
+ * A GCompareFunc for g_array_sort()
+ *
+ * Args:
+ * a, b uint64_t*, absisca values
+ *
+ * Returns:
+ * "returns less than zero for first arg is less than second arg, zero for
+ * equal, greater zero if first arg is greater than second arg"
+ * - the great glib documentation
+ */
+static gint gcfCompareUint64(gconstpointer a, gconstpointer b)
+{
+ if (*(uint64_t*) a < *(uint64_t*) b)
+ {
+ return -1;
+ }
+ else if (*(uint64_t*) a > *(uint64_t*) b)
+ {
+ return 1;
+ }
+ else
+ {
+ return 0;
+ }
+}
+
+
+/*
+ * Compute synchronization factors using a linear programming approach.
+ *
+ * Args:
+ * syncState: container for synchronization data
+ */
+static AllFactors* finalizeAnalysisCHullLP(SyncState* const syncState)
+{
+ AnalysisDataCHull* analysisData= syncState->analysisData;
+ unsigned int i, j;
+ AllFactors* lpFactorsArray;
+
+ lpFactorsArray= createAllFactors(syncState->traceNb);
+
+ analysisData->lps= malloc(syncState->traceNb * sizeof(glp_prob**));
+ for (i= 0; i < syncState->traceNb; i++)
+ {
+ analysisData->lps[i]= malloc(i * sizeof(glp_prob*));
+ }
+
+ for (i= 0; i < syncState->traceNb; i++)
+ {
+ for (j= 0; j < i; j++)
+ {
+ glp_prob* lp;
+ unsigned int it;
+ GQueue*** hullArray= analysisData->hullArray;
+ PairFactors* lpFactors= &lpFactorsArray->pairFactors[i][j];
+
+ // Create the LP problem
+ lp= lpCreateProblem(hullArray[i][j], hullArray[j][i]);
+ analysisData->lps[i][j]= lp;
+
+ // Use the LP problem to find the correction factors for this pair of
+ // traces
+ calculateCompleteFactorsLP(lp, lpFactors);
+
+ // If possible, compute synchronization accuracy information for
+ // graphs
+ if (syncState->graphsStream && lpFactors->type == ACCURATE)
+ {
+ int retval;
+ char* cwd;
+ char fileName[43];
+ FILE* fp;
+ GArray* xValues;
+
+ // Open the data file
+ snprintf(fileName, sizeof(fileName),
+ "analysis_chull_accuracy-%03u_and_%03u.data", j, i);
+ fileName[sizeof(fileName) - 1]= '\0';
+
+ cwd= changeToGraphsDir(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
+ xValues= g_array_sized_new(FALSE, FALSE, sizeof(uint64_t),
+ g_queue_get_length(hullArray[i][j]) +
+ g_queue_get_length(hullArray[j][i]));
+
+ g_queue_foreach(hullArray[i][j], &gfAddAbsiscaToArray, xValues);
+ g_queue_foreach(hullArray[j][i], &gfAddAbsiscaToArray, xValues);
+
+ g_array_sort(xValues, &gcfCompareUint64);
+
+ /* For each absisca value and each optimisation direction, solve the LP
+ * and write a line in the data file */
+ for (it= 0; it < xValues->len; it++)
+ {
+ uint64_t time;
+ CorrectedTime correctedTime;
+
+ time= g_array_index(xValues, uint64_t, it);
+ timeCorrectionLP(lp, lpFactors, time, &correctedTime);
+ fprintf(fp, "%24" PRIu64 " %24" PRIu64 " %24" PRIu64
+ "%24" PRIu64 "\n", time, correctedTime.time,
+ correctedTime.min, correctedTime.max);
+ }
+
+ g_array_free(xValues, TRUE);
+ fclose(fp);
+ }
+ }
+ }
+
+ if (syncState->stats)
+ {
+ lpFactorsArray->refCount++;
+ analysisData->stats->lpFactors= lpFactorsArray;
+ }
+
+ if (syncState->graphsStream)
+ {
+ lpFactorsArray->refCount++;
+ analysisData->graphsData->lpFactors= lpFactorsArray;
+ }
+
+ return lpFactorsArray;
+}
+
+
+/*
+ * Perform correction on one time value and calculate accuracy bounds.
+ *
+ * Args:
+ * lp: Linear Programming problem containing the coefficients for
+ * the trace pair between which to perform time correction.
+ * lpFactors: Correction factors for this trace pair, the factors must be
+ * of type ACCURATE.
+ * time: Time value to correct.
+ * correctedTime: Result of the time correction, preallocated.
+ */
+void timeCorrectionLP(glp_prob* const lp, const PairFactors* const lpFactors,
+ const uint64_t time, CorrectedTime* const correctedTime)
+{
+ unsigned int it;
+ const struct
+ {
+ int direction;
+ size_t offset;
+ } loopValues[]= {
+ {GLP_MIN, offsetof(CorrectedTime, min)},
+ {GLP_MAX, offsetof(CorrectedTime, max)}
+ };
+
+ glp_set_obj_coef(lp, 1, 1.);
+ glp_set_obj_coef(lp, 2, time);
+
+ g_assert(lpFactors->type == ACCURATE);
+
+ correctedTime->time= lpFactors->approx->offset + lpFactors->approx->drift
+ * time;
+
+ for (it= 0; it < ARRAY_SIZE(loopValues); it++)
+ {
+ int status;
+ int retval;
+
+ glp_set_obj_dir(lp, loopValues[it].direction);
+ retval= glp_simplex(lp, NULL);
+ status= glp_get_status(lp);
+
+ g_assert(retval == 0 && status == GLP_OPT);
+ *(uint64_t*) ((void*) correctedTime + loopValues[it].offset)=
+ round(glp_get_obj_val(lp));
+ }
+}
+
+
+/*
+ * 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 writeAnalysisTraceTimeBackPlotsCHull(SyncState* const syncState,
+ const unsigned int i, const unsigned int j)
+{
+ if (((AnalysisDataCHull*)
+ syncState->analysisData)->graphsData->lpFactors->pairFactors[j][i].type
+ == ACCURATE)
+ {
+ fprintf(syncState->graphsStream,
+ "\t\"analysis_chull_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);
+ }
+}
+
+
+/*
+ * 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 writeAnalysisTraceTimeForePlotsCHull(SyncState* const syncState,
+ const unsigned int i, const unsigned int j)
+{
+ if (((AnalysisDataCHull*)
+ syncState->analysisData)->graphsData->lpFactors->pairFactors[j][i].type
+ == ACCURATE)
+ {
+ fprintf(syncState->graphsStream,
+ "\t\"analysis_chull_accuracy-%1$03u_and_%2$03u.data\" "
+ "using 1:(($3 - $2) / clock_freq_%2$u) notitle "
+ "with lines linewidth 2 linetype 1 "
+ "linecolor rgb \"gray60\", \\\n"
+ "\t\"analysis_chull_accuracy-%1$03u_and_%2$03u.data\" "
+ "using 1:(($4 - $2) / clock_freq_%2$u) notitle "
+ "with lines linewidth 2 linetype 1 "
+ "linecolor rgb \"gray60\", \\\n", i, j);
+ }
+}
+
+
+/*
+ * 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 writeAnalysisTraceTraceBackPlotsCHull(SyncState* const syncState,
+ const unsigned int i, const unsigned int j)
+{
+ if (((AnalysisDataCHull*)
+ syncState->analysisData)->graphsData->lpFactors->pairFactors[j][i].type
+ == ACCURATE)
+ {
+ fprintf(syncState->graphsStream,
+ "\t\"analysis_chull_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