-
-
-#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* 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 ACCURATE, 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, PairFactors* factors)
-{
- factors->min= calculateFactors(lp, GLP_MIN);
- factors->max= calculateFactors(lp, GLP_MAX);
-
- if (factors->min && factors->max)
- {
- factors->type= ACCURATE;
- calculateFactorsMiddle(factors);
- }
- else if (factors->min || factors->max)
- {
- factors->type= INCOMPLETE;
- factors->approx= NULL;
- }
- else
- {
- factors->type= ABSENT;
- factors->approx= NULL;
- }
-}
-
-
-/*
- * 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
- * double
- */
-static void gfAddAbsiscaToArray(gpointer data, gpointer user_data)
-{
- Point* p= data;
- GArray* a= user_data;
- double v= p->x;
-
- g_array_append_val(a, v);
-}
-
-
-/*
- * A GCompareFunc for g_array_sort()
- *
- * Args:
- * a, b double*, 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 gcfCompareDouble(gconstpointer a, gconstpointer b)
-{
- if (*(double*) a < *(double*) b)
- {
- return -1;
- }
- else if (*(double*) a > *(double*) b)
- {
- return 1;
- }
- else
- {
- return 0;
- }
-}
-#endif
-
-
-/*
- * Compute synchronization factors using a linear programming approach.
- * Compute the factors using analysis_chull. Compare the two.
- *
- * When the solver library, glpk, is not available at build time, only compute
- * the factors using analysis_chull. This is to make sure that module runs its
- * finalize function so that its graph functions can be called later.
- *
- * Args:
- * syncState: container for synchronization data
- */
-static void finalizeAnalysisEvalLP(SyncState* const syncState)
-{
- AnalysisDataEval* analysisData= syncState->analysisData;
-#ifdef HAVE_LIBGLPK
- unsigned int i, j;
- AnalysisDataCHull* chAnalysisData= analysisData->chullSS->analysisData;
- AllFactors* lpFactorsArray;
-
- if (!syncState->stats && !syncState->graphsStream)
- {
- return;
- }
-
- /* Because of matching_distributor, this analysis may be called twice.
- * Only run it once */
- if ((syncState->graphsStream && analysisData->graphs->lps != NULL) ||
- (syncState->stats && analysisData->stats->chFactorsArray != NULL))
- {
- return;
- }
-
- lpFactorsArray= createAllFactors(syncState->traceNb);
-
- 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->pairFactors[i][j]);
-
- if (syncState->graphsStream)
- {
- analysisData->graphs->lps[i][j]= lp;
- }
- else
- {
- glp_delete_prob(lp);
- }
- }
- }
-#endif
-
- freeAllFactors(analysisData->chullSS->analysisModule->finalizeAnalysis(analysisData->chullSS),
- analysisData->chullSS->traceNb);
-}
-
-
-/*
- * Compute synchronization accuracy information using a linear programming
- * approach. Write the neccessary data files and plot lines in the gnuplot
- * script.
- *
- * When the solver library, glpk, is not available at build time nothing is
- * actually produced.
- *
- * Args:
- * syncState: container for synchronization data
- * i: first trace number
- * j: second trace number, garanteed to be larger than i
- */
-static void writeAnalysisTraceTimeBackPlotsEval(SyncState* const syncState,
- const unsigned int i, const unsigned int j)
-{
-#ifdef HAVE_LIBGLPK
- unsigned int it;
- AnalysisDataEval* analysisData= syncState->analysisData;
- AnalysisGraphsEval* graphs= analysisData->graphs;
- GQueue*** hullArray= ((AnalysisDataCHull*)
- analysisData->chullSS->analysisData)->hullArray;
- PairFactors* lpFactors= &graphs->lpFactorsArray->pairFactors[j][i];
- glp_prob* lp= graphs->lps[j][i];
-
- if (lpFactors->type == ACCURATE)
- {
- int retval;
- char* cwd;
- char fileName[40];
- FILE* fp;
- GArray* xValues;
-
- // Open the data file
- snprintf(fileName, 40, "analysis_eval_accuracy-%03u_and_%03u.data", i, j);
- 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(double),
- 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, &gcfCompareDouble);
-
- /* 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++)
- {
- unsigned int it2;
- int directions[]= {GLP_MIN, GLP_MAX};
- glp_set_obj_coef(lp, 1, 1.);
- glp_set_obj_coef(lp, 2, g_array_index(xValues, double, it));
-
- fprintf(fp, "%25.9f %25.9f", g_array_index(xValues, double, it),
- lpFactors->approx->offset + lpFactors->approx->drift *
- g_array_index(xValues, double, 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");
- }
-
- g_array_free(xValues, TRUE);
- 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.
- *
- * When the solver library, glpk, is not available at build time nothing is
- * actually produced.
- *
- * Args:
- * syncState: container for synchronization data
- * i: first trace number
- * j: second trace number, garanteed to be larger than i
- */
-static void writeAnalysisTraceTimeForePlotsEval(SyncState* const syncState,
- const unsigned int i, const unsigned int j)
-{
-#ifdef HAVE_LIBGLPK
- if (((AnalysisDataEval*)
- syncState->analysisData)->graphs->lpFactorsArray->pairFactors[j][i].type
- == ACCURATE)
- {
- fprintf(syncState->graphsStream,
- "\t\"analysis_eval_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_eval_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);
- }
-#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 writeAnalysisTraceTraceBackPlotsEval(SyncState* const syncState,
- const unsigned int i, const unsigned int j)
-{
-#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
-}
-
-
-/*
- * 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 writeAnalysisTraceTraceForePlotsEval(SyncState* const syncState,
- const unsigned int i, const unsigned int j)
-{
- AnalysisDataEval* analysisData= syncState->analysisData;
-
- analysisData->chullSS->analysisModule->graphFunctions.writeTraceTraceForePlots(analysisData->chullSS,
- i, j);
-}