Commit | Line | Data |
---|---|---|
70407e86 BP |
1 | /* This file is part of the Linux Trace Toolkit viewer |
2 | * Copyright (C) 2009 Benjamin Poirier <benjamin.poirier@polymtl.ca> | |
3 | * | |
4 | * This program is free software; you can redistribute it and/or modify | |
5 | * it under the terms of the GNU General Public License Version 2 as | |
6 | * published by the Free Software Foundation; | |
7 | * | |
8 | * This program is distributed in the hope that it will be useful, | |
9 | * but WITHOUT ANY WARRANTY; without even the implied warranty of | |
10 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | |
11 | * GNU General Public License for more details. | |
12 | * | |
13 | * You should have received a copy of the GNU General Public License | |
14 | * along with this program; if not, write to the Free Software | |
15 | * Foundation, Inc., 59 Temple Place - Suite 330, Boston, | |
16 | * MA 02111-1307, USA. | |
17 | */ | |
18 | ||
19 | // for INFINITY in math.h | |
20 | #define _ISOC99_SOURCE | |
21 | ||
22 | #ifdef HAVE_CONFIG_H | |
23 | #include <config.h> | |
24 | #endif | |
25 | ||
26 | #include <math.h> | |
27 | #include <stdio.h> | |
28 | #include <stdlib.h> | |
29 | ||
2bd4b3e4 | 30 | #include "sync_chain.h" |
70407e86 BP |
31 | |
32 | #include "event_analysis_linreg.h" | |
33 | ||
34 | ||
70407e86 BP |
35 | // Functions common to all analysis modules |
36 | static void initAnalysisLinReg(SyncState* const syncState); | |
37 | static void destroyAnalysisLinReg(SyncState* const syncState); | |
38 | ||
10341d26 | 39 | static void analyzeExchangeLinReg(SyncState* const syncState, Exchange* const exchange); |
70407e86 BP |
40 | static GArray* finalizeAnalysisLinReg(SyncState* const syncState); |
41 | static void printAnalysisStatsLinReg(SyncState* const syncState); | |
8d7d16dd BP |
42 | static void writeAnalysisGraphsPlotsLinReg(SyncState* const syncState, const |
43 | unsigned int i, const unsigned int j); | |
70407e86 BP |
44 | |
45 | // Functions specific to this module | |
08365995 | 46 | static void registerAnalysisLinReg() __attribute__((constructor (102))); |
70407e86 BP |
47 | |
48 | static void finalizeLSA(SyncState* const syncState); | |
49 | static void doGraphProcessing(SyncState* const syncState); | |
50 | static GArray* calculateFactors(SyncState* const syncState); | |
51 | static void shortestPath(Fit* const* const fitArray, const unsigned int | |
52 | traceNum, const unsigned int traceNb, double* const distances, | |
53 | unsigned int* const previousVertex); | |
54 | static double sumDistances(const double* const distances, const unsigned int | |
55 | traceNb); | |
56 | static void reduceFactors(Fit* const* const fitArray, const unsigned int* const | |
57 | previousVertex, const unsigned int traceNum, double* const drift, | |
58 | double* const offset, double* const stDev); | |
59 | ||
60 | // Graph-related Glib functions | |
61 | static void gfGraphDestroy(gpointer data, gpointer user_data); | |
62 | static gint gcfGraphTraceCompare(gconstpointer a, gconstpointer b); | |
63 | ||
64 | ||
65 | static AnalysisModule analysisModuleLinReg= { | |
66 | .name= "linreg", | |
67 | .initAnalysis= &initAnalysisLinReg, | |
68 | .destroyAnalysis= &destroyAnalysisLinReg, | |
70407e86 BP |
69 | .analyzeExchange= &analyzeExchangeLinReg, |
70 | .finalizeAnalysis= &finalizeAnalysisLinReg, | |
71 | .printAnalysisStats= &printAnalysisStatsLinReg, | |
467066ee | 72 | .graphFunctions= { |
c6356aa7 | 73 | .writeTraceTraceForePlots= &writeAnalysisGraphsPlotsLinReg, |
467066ee | 74 | } |
70407e86 BP |
75 | }; |
76 | ||
77 | ||
78 | /* | |
79 | * Analysis module registering function | |
80 | */ | |
81 | static void registerAnalysisLinReg() | |
82 | { | |
83 | g_queue_push_tail(&analysisModules, &analysisModuleLinReg); | |
84 | } | |
85 | ||
86 | ||
87 | /* | |
88 | * Analysis init function | |
89 | * | |
90 | * This function is called at the beginning of a synchronization run for a set | |
91 | * of traces. | |
92 | * | |
93 | * Allocate some of the analysis specific data structures | |
94 | * | |
95 | * Args: | |
96 | * syncState container for synchronization data. | |
97 | * This function allocates these analysisData members: | |
98 | * fitArray | |
99 | * stDev | |
100 | */ | |
101 | static void initAnalysisLinReg(SyncState* const syncState) | |
102 | { | |
103 | unsigned int i; | |
104 | AnalysisDataLinReg* analysisData; | |
105 | ||
106 | analysisData= malloc(sizeof(AnalysisDataLinReg)); | |
107 | syncState->analysisData= analysisData; | |
108 | ||
109 | analysisData->fitArray= malloc(syncState->traceNb * sizeof(Fit*)); | |
110 | for (i= 0; i < syncState->traceNb; i++) | |
111 | { | |
112 | analysisData->fitArray[i]= calloc(syncState->traceNb, sizeof(Fit)); | |
113 | } | |
114 | ||
115 | if (syncState->stats) | |
116 | { | |
117 | analysisData->stDev= malloc(sizeof(double) * syncState->traceNb); | |
118 | } | |
119 | } | |
120 | ||
121 | ||
122 | /* | |
123 | * Analysis destroy function | |
124 | * | |
125 | * Free the analysis specific data structures | |
126 | * | |
127 | * Args: | |
128 | * syncState container for synchronization data. | |
129 | * This function deallocates these analysisData members: | |
130 | * fitArray | |
131 | * graphList | |
132 | * stDev | |
133 | */ | |
134 | static void destroyAnalysisLinReg(SyncState* const syncState) | |
135 | { | |
136 | unsigned int i; | |
137 | AnalysisDataLinReg* analysisData; | |
138 | ||
139 | analysisData= (AnalysisDataLinReg*) syncState->analysisData; | |
140 | ||
141 | if (analysisData == NULL) | |
142 | { | |
143 | return; | |
144 | } | |
145 | ||
146 | for (i= 0; i < syncState->traceNb; i++) | |
147 | { | |
148 | free(analysisData->fitArray[i]); | |
149 | } | |
150 | free(analysisData->fitArray); | |
151 | ||
152 | g_queue_foreach(analysisData->graphList, &gfGraphDestroy, NULL); | |
153 | g_queue_free(analysisData->graphList); | |
154 | ||
155 | if (syncState->stats) | |
156 | { | |
157 | free(analysisData->stDev); | |
158 | } | |
159 | ||
160 | free(syncState->analysisData); | |
161 | syncState->analysisData= NULL; | |
162 | } | |
163 | ||
164 | ||
165 | /* | |
166 | * Perform analysis on a series of event pairs. | |
167 | * | |
70407e86 BP |
168 | * Args: |
169 | * syncState container for synchronization data | |
10341d26 | 170 | * exchange structure containing the many events |
70407e86 | 171 | */ |
10341d26 | 172 | static void analyzeExchangeLinReg(SyncState* const syncState, Exchange* const exchange) |
70407e86 BP |
173 | { |
174 | unsigned int ni, nj; | |
175 | double dji, eji; | |
176 | double timoy; | |
177 | Fit* fit; | |
10341d26 | 178 | Message* ackedMessage; |
70407e86 BP |
179 | AnalysisDataLinReg* analysisData; |
180 | ||
181 | g_debug("Synchronization calculation, "); | |
182 | g_debug("%d acked packets - using last one, ", | |
10341d26 | 183 | g_queue_get_length(exchange->acks)); |
70407e86 BP |
184 | |
185 | analysisData= (AnalysisDataLinReg*) syncState->analysisData; | |
10341d26 | 186 | ackedMessage= g_queue_peek_tail(exchange->acks); |
70407e86 BP |
187 | |
188 | // Calculate the intermediate values for the | |
189 | // least-squares analysis | |
76be6fc2 BP |
190 | dji= ((double) ackedMessage->inE->cpuTime - (double) ackedMessage->outE->cpuTime |
191 | + (double) exchange->message->outE->cpuTime - (double) | |
192 | exchange->message->inE->cpuTime) / 2; | |
193 | eji= fabs((double) ackedMessage->inE->cpuTime - (double) | |
194 | ackedMessage->outE->cpuTime - (double) exchange->message->outE->cpuTime + | |
195 | (double) exchange->message->inE->cpuTime) / 2; | |
196 | timoy= ((double) ackedMessage->outE->cpuTime + (double) | |
197 | exchange->message->inE->cpuTime) / 2; | |
10341d26 BP |
198 | ni= ackedMessage->outE->traceNum; |
199 | nj= ackedMessage->inE->traceNum; | |
70407e86 BP |
200 | fit= &analysisData->fitArray[nj][ni]; |
201 | ||
202 | fit->n++; | |
203 | fit->st+= timoy; | |
204 | fit->st2+= pow(timoy, 2); | |
205 | fit->sd+= dji; | |
206 | fit->sd2+= pow(dji, 2); | |
207 | fit->std+= timoy * dji; | |
208 | ||
209 | g_debug("intermediate values: dji= %f ti moy= %f " | |
210 | "ni= %u nj= %u fit: n= %u st= %f st2= %f sd= %f " | |
211 | "sd2= %f std= %f, ", dji, timoy, ni, nj, fit->n, | |
212 | fit->st, fit->st2, fit->sd, fit->sd2, fit->std); | |
213 | } | |
214 | ||
215 | ||
216 | /* | |
217 | * Finalize the factor calculations | |
218 | * | |
219 | * The least squares analysis is finalized and finds the factors directly | |
220 | * between each pair of traces that had events together. The traces are | |
221 | * aranged in a graph, a reference trace is chosen and the factors between | |
222 | * this reference and every other trace is calculated. Sometimes it is | |
223 | * necessary to use many graphs when there are "islands" of independent | |
224 | * traces. | |
225 | * | |
226 | * Args: | |
227 | * syncState container for synchronization data. | |
228 | * | |
229 | * Returns: | |
230 | * Factors[traceNb] synchronization factors for each trace | |
231 | */ | |
232 | static GArray* finalizeAnalysisLinReg(SyncState* const syncState) | |
233 | { | |
234 | GArray* factors; | |
235 | ||
236 | // Finalize the processing | |
237 | finalizeLSA(syncState); | |
238 | ||
239 | // Find a reference node and structure nodes in a graph | |
240 | doGraphProcessing(syncState); | |
241 | ||
242 | /* Calculate the resulting offset and drift between each trace and its | |
243 | * reference | |
244 | */ | |
245 | factors= calculateFactors(syncState); | |
246 | ||
247 | return factors; | |
248 | } | |
249 | ||
250 | ||
251 | /* | |
252 | * Print statistics related to analysis. Must be called after | |
253 | * finalizeAnalysis. | |
254 | * | |
255 | * Args: | |
256 | * syncState container for synchronization data. | |
257 | */ | |
258 | static void printAnalysisStatsLinReg(SyncState* const syncState) | |
259 | { | |
260 | unsigned int i, j; | |
261 | AnalysisDataLinReg* analysisData; | |
262 | ||
263 | if (!syncState->stats) | |
264 | { | |
265 | return; | |
266 | } | |
267 | ||
268 | analysisData= (AnalysisDataLinReg*) syncState->analysisData; | |
269 | ||
270 | printf("Linear regression analysis stats:\n"); | |
271 | ||
272 | printf("\tIndividual synchronization factors:\n"); | |
273 | ||
274 | for (j= 0; j < syncState->traceNb; j++) | |
275 | { | |
276 | for (i= 0; i < j; i++) | |
277 | { | |
278 | Fit* fit; | |
279 | ||
280 | fit= &analysisData->fitArray[j][i]; | |
281 | printf("\t\t%3d - %-3d: ", i, j); | |
282 | printf("a0= % 7g a1= 1 %c %7g accuracy %7g\n", fit->d0, fit->x < | |
283 | 0. ? '-' : '+', fabs(fit->x), fit->e); | |
284 | ||
285 | fit= &analysisData->fitArray[i][j]; | |
286 | printf("\t\t%3d - %-3d: ", j, i); | |
287 | printf("a0= % 7g a1= 1 %c %7g accuracy %7g\n", fit->d0, fit->x < | |
288 | 0. ? '-' : '+', fabs(fit->x), fit->e); | |
289 | } | |
290 | } | |
291 | ||
292 | printf("\tTree:\n"); | |
293 | for (i= 0; i < syncState->traceNb; i++) | |
294 | { | |
295 | GList* result; | |
296 | ||
297 | result= g_queue_find_custom(analysisData->graphList, &i, | |
298 | &gcfGraphTraceCompare); | |
299 | if (result != NULL) | |
300 | { | |
301 | Graph* graph; | |
302 | ||
303 | graph= (Graph*) result->data; | |
304 | ||
305 | printf("\t\ttrace %u reference %u previous vertex ", i, | |
306 | graph->reference); | |
307 | ||
308 | if (i == graph->reference) | |
309 | { | |
310 | printf("- "); | |
311 | } | |
312 | else | |
313 | { | |
314 | printf("%u ", graph->previousVertex[i]); | |
315 | } | |
316 | ||
317 | printf("stdev= %g\n", analysisData->stDev[i]); | |
318 | } | |
319 | else | |
320 | { | |
321 | g_error("Trace %d not part of a graph\n", i); | |
322 | } | |
323 | } | |
324 | } | |
325 | ||
326 | ||
327 | /* | |
328 | * Finalize the least-squares analysis. The intermediate values in the fit | |
329 | * array are used to calculate the drift and the offset between each pair of | |
330 | * nodes based on their exchanges. | |
331 | * | |
332 | * Args: | |
333 | * syncState: container for synchronization data. | |
334 | */ | |
335 | static void finalizeLSA(SyncState* const syncState) | |
336 | { | |
337 | unsigned int i, j; | |
338 | AnalysisDataLinReg* analysisData; | |
339 | ||
340 | analysisData= (AnalysisDataLinReg*) syncState->analysisData; | |
341 | ||
342 | for (i= 0; i < syncState->traceNb; i++) | |
343 | { | |
344 | for (j= 0; j < syncState->traceNb; j++) | |
345 | { | |
346 | if (i != j) | |
347 | { | |
348 | Fit* fit; | |
349 | double delta; | |
350 | ||
351 | fit= &analysisData->fitArray[i][j]; | |
352 | ||
353 | delta= fit->n * fit->st2 - pow(fit->st, 2); | |
354 | fit->x= (fit->n * fit->std - fit->st * fit->sd) / delta; | |
355 | fit->d0= (fit->st2 * fit->sd - fit->st * fit->std) / delta; | |
356 | fit->e= sqrt((fit->sd2 - (fit->n * pow(fit->std, 2) + | |
357 | pow(fit->sd, 2) * fit->st2 - 2 * fit->st * fit->sd | |
358 | * fit->std) / delta) / (fit->n - 2)); | |
359 | ||
360 | g_debug("[i= %u j= %u]\n", i, j); | |
361 | g_debug("n= %d st= %g st2= %g sd= %g sd2= %g std= %g\n", | |
362 | fit->n, fit->st, fit->st2, fit->sd, fit->sd2, fit->std); | |
363 | g_debug("xij= %g d0ij= %g e= %g\n", fit->x, fit->d0, fit->e); | |
364 | g_debug("(xji= %g d0ji= %g)\n", -fit->x / (1 + fit->x), | |
365 | -fit->d0 / (1 + fit->x)); | |
366 | } | |
367 | } | |
368 | } | |
369 | } | |
370 | ||
371 | ||
372 | /* | |
373 | * Structure nodes in graphs of nodes that had exchanges. Each graph has a | |
374 | * reference node, the one that can reach the others with the smallest | |
375 | * cummulative error. | |
376 | * | |
377 | * Args: | |
378 | * syncState: container for synchronization data. | |
379 | * This function allocates these analysisData members: | |
380 | * graphList | |
381 | */ | |
382 | static void doGraphProcessing(SyncState* const syncState) | |
383 | { | |
384 | unsigned int i, j; | |
385 | double* distances; | |
386 | unsigned int* previousVertex; | |
387 | AnalysisDataLinReg* analysisData; | |
388 | ||
389 | analysisData= (AnalysisDataLinReg*) syncState->analysisData; | |
390 | ||
391 | distances= malloc(syncState->traceNb * sizeof(double)); | |
392 | previousVertex= malloc(syncState->traceNb * sizeof(unsigned int)); | |
393 | analysisData->graphList= g_queue_new(); | |
394 | ||
395 | for (i= 0; i < syncState->traceNb; i++) | |
396 | { | |
397 | double errorSum; | |
398 | GList* result; | |
399 | ||
400 | // Perform shortest path search | |
401 | g_debug("shortest path trace %d\ndistances: ", i); | |
402 | shortestPath(analysisData->fitArray, i, syncState->traceNb, distances, | |
403 | previousVertex); | |
404 | ||
405 | for (j= 0; j < syncState->traceNb; j++) | |
406 | { | |
407 | g_debug("%g, ", distances[j]); | |
408 | } | |
409 | g_debug("\npreviousVertex: "); | |
410 | for (j= 0; j < syncState->traceNb; j++) | |
411 | { | |
412 | g_debug("%u, ", previousVertex[j]); | |
413 | } | |
414 | g_debug("\n"); | |
415 | ||
416 | // Group in graphs nodes that have exchanges | |
417 | errorSum= sumDistances(distances, syncState->traceNb); | |
418 | result= g_queue_find_custom(analysisData->graphList, &i, | |
419 | &gcfGraphTraceCompare); | |
420 | if (result != NULL) | |
421 | { | |
422 | Graph* graph; | |
423 | ||
424 | g_debug("found graph\n"); | |
425 | graph= (Graph*) result->data; | |
426 | if (errorSum < graph->errorSum) | |
427 | { | |
428 | g_debug("adding to graph\n"); | |
429 | graph->errorSum= errorSum; | |
430 | free(graph->previousVertex); | |
431 | graph->previousVertex= previousVertex; | |
432 | graph->reference= i; | |
433 | previousVertex= malloc(syncState->traceNb * sizeof(unsigned | |
434 | int)); | |
435 | } | |
436 | } | |
437 | else | |
438 | { | |
439 | Graph* newGraph; | |
440 | ||
441 | g_debug("creating new graph\n"); | |
442 | newGraph= malloc(sizeof(Graph)); | |
443 | newGraph->errorSum= errorSum; | |
444 | newGraph->previousVertex= previousVertex; | |
445 | newGraph->reference= i; | |
446 | previousVertex= malloc(syncState->traceNb * sizeof(unsigned int)); | |
447 | ||
448 | g_queue_push_tail(analysisData->graphList, newGraph); | |
449 | } | |
450 | } | |
451 | ||
452 | free(previousVertex); | |
453 | free(distances); | |
454 | } | |
455 | ||
456 | ||
457 | /* | |
458 | * Calculate the resulting offset and drift between each trace and its | |
459 | * reference. | |
460 | * | |
461 | * Args: | |
462 | * syncState: container for synchronization data. | |
463 | * | |
464 | * Returns: | |
465 | * Factors[traceNb] synchronization factors for each trace | |
466 | */ | |
467 | static GArray* calculateFactors(SyncState* const syncState) | |
468 | { | |
469 | unsigned int i; | |
470 | AnalysisDataLinReg* analysisData; | |
471 | GArray* factors; | |
472 | ||
473 | analysisData= (AnalysisDataLinReg*) syncState->analysisData; | |
474 | factors= g_array_sized_new(FALSE, FALSE, sizeof(Factors), | |
475 | syncState->traceNb); | |
08365995 | 476 | g_array_set_size(factors, syncState->traceNb); |
70407e86 BP |
477 | |
478 | // Calculate the resulting offset and drift between each trace and its | |
479 | // reference | |
480 | for (i= 0; i < syncState->traceNb; i++) | |
481 | { | |
482 | GList* result; | |
483 | ||
484 | result= g_queue_find_custom(analysisData->graphList, &i, | |
485 | &gcfGraphTraceCompare); | |
486 | if (result != NULL) | |
487 | { | |
488 | Graph* graph; | |
489 | double stDev; | |
490 | Factors* traceFactors; | |
491 | ||
492 | graph= (Graph*) result->data; | |
493 | traceFactors= &g_array_index(factors, Factors, i); | |
494 | ||
495 | reduceFactors(analysisData->fitArray, graph->previousVertex, i, | |
496 | &traceFactors->drift, &traceFactors->offset, &stDev); | |
497 | ||
498 | if (syncState->stats) | |
499 | { | |
500 | analysisData->stDev[i]= stDev; | |
501 | } | |
502 | } | |
503 | else | |
504 | { | |
505 | g_error("Trace %d not part of a graph\n", i); | |
506 | } | |
507 | } | |
508 | ||
509 | return factors; | |
510 | } | |
511 | ||
512 | ||
513 | /* | |
514 | * Single-source shortest path search to find the path with the lowest error to | |
515 | * convert one node's time to another. | |
516 | * Uses Dijkstra's algorithm | |
517 | * | |
518 | * Args: | |
519 | * fitArray: array with the regression parameters | |
520 | * traceNum: reference node | |
521 | * traceNb: number of traces = number of nodes | |
522 | * distances: array of computed distance from source node to node i, | |
523 | * INFINITY if i is unreachable, preallocated to the number of | |
524 | * nodes | |
525 | * previousVertex: previous vertex from a node i on the way to the source, | |
526 | * UINT_MAX if i is not on the way or is the source, | |
527 | * preallocated to the number of nodes | |
528 | */ | |
529 | static void shortestPath(Fit* const* const fitArray, const unsigned int | |
530 | traceNum, const unsigned int traceNb, double* const distances, unsigned | |
531 | int* const previousVertex) | |
532 | { | |
533 | bool* visited; | |
534 | unsigned int i, j; | |
535 | ||
536 | visited= malloc(traceNb * sizeof(bool)); | |
537 | ||
538 | for (i= 0; i < traceNb; i++) | |
539 | { | |
540 | const Fit* fit; | |
541 | ||
542 | visited[i]= false; | |
543 | ||
544 | fit= &fitArray[traceNum][i]; | |
545 | g_debug("fitArray[traceNum= %u][i= %u]->n = %u\n", traceNum, i, fit->n); | |
546 | if (fit->n > 0) | |
547 | { | |
548 | distances[i]= fit->e; | |
549 | previousVertex[i]= traceNum; | |
550 | } | |
551 | else | |
552 | { | |
553 | distances[i]= INFINITY; | |
554 | previousVertex[i]= UINT_MAX; | |
555 | } | |
556 | } | |
557 | visited[traceNum]= true; | |
558 | ||
559 | for (j= 0; j < traceNb; j++) | |
560 | { | |
561 | g_debug("(%d, %u, %g), ", visited[j], previousVertex[j], distances[j]); | |
562 | } | |
563 | g_debug("\n"); | |
564 | ||
565 | for (i= 0; i < traceNb - 2; i++) | |
566 | { | |
567 | unsigned int v; | |
568 | double dvMin; | |
569 | ||
570 | dvMin= INFINITY; | |
571 | for (j= 0; j < traceNb; j++) | |
572 | { | |
573 | if (visited[j] == false && distances[j] < dvMin) | |
574 | { | |
575 | v= j; | |
576 | dvMin= distances[j]; | |
577 | } | |
578 | } | |
579 | ||
580 | g_debug("v= %u dvMin= %g\n", v, dvMin); | |
581 | ||
582 | if (dvMin != INFINITY) | |
583 | { | |
584 | visited[v]= true; | |
585 | ||
586 | for (j= 0; j < traceNb; j++) | |
587 | { | |
588 | const Fit* fit; | |
589 | ||
590 | fit= &fitArray[v][j]; | |
591 | if (visited[j] == false && fit->n > 0 && distances[v] + fit->e | |
592 | < distances[j]) | |
593 | { | |
594 | distances[j]= distances[v] + fit->e; | |
595 | previousVertex[j]= v; | |
596 | } | |
597 | } | |
598 | } | |
599 | else | |
600 | { | |
601 | break; | |
602 | } | |
603 | ||
604 | for (j= 0; j < traceNb; j++) | |
605 | { | |
606 | g_debug("(%d, %u, %g), ", visited[j], previousVertex[j], distances[j]); | |
607 | } | |
608 | g_debug("\n"); | |
609 | } | |
610 | ||
611 | free(visited); | |
612 | } | |
613 | ||
614 | ||
615 | /* | |
616 | * Cummulate the distances between a reference node and the other nodes | |
617 | * reachable from it in a graph. | |
618 | * | |
619 | * Args: | |
620 | * distances: array of shortest path distances, with UINT_MAX for | |
621 | * unreachable nodes | |
622 | * traceNb: number of nodes = number of traces | |
623 | */ | |
624 | static double sumDistances(const double* const distances, const unsigned int traceNb) | |
625 | { | |
626 | unsigned int i; | |
627 | double result; | |
628 | ||
629 | result= 0; | |
630 | for (i= 0; i < traceNb; i++) | |
631 | { | |
632 | if (distances[i] != INFINITY) | |
633 | { | |
634 | result+= distances[i]; | |
635 | } | |
636 | } | |
637 | ||
638 | return result; | |
639 | } | |
640 | ||
641 | ||
642 | /* | |
643 | * Cummulate the time correction factors between two nodes accross a graph | |
644 | * | |
645 | * With traceNum i, reference node r: | |
646 | * tr= (1 + Xri) * ti + D0ri | |
647 | * = drift * ti + offset | |
648 | * | |
649 | * Args: | |
650 | * fitArray: array with the regression parameters | |
651 | * previousVertex: previous vertex from a node i on the way to the source, | |
652 | * UINT_MAX if i is not on the way or is the source, | |
653 | * preallocated to the number of nodes | |
654 | * traceNum: end node, the reference depends on previousVertex | |
655 | * drift: drift factor | |
656 | * offset: offset factor | |
657 | */ | |
658 | static void reduceFactors(Fit* const* const fitArray, const unsigned int* const | |
659 | previousVertex, const unsigned int traceNum, double* const drift, double* | |
660 | const offset, double* const stDev) | |
661 | { | |
662 | if (previousVertex[traceNum] == UINT_MAX) | |
663 | { | |
664 | *drift= 1.; | |
665 | *offset= 0.; | |
666 | *stDev= 0.; | |
667 | } | |
668 | else | |
669 | { | |
670 | const Fit* fit; | |
671 | double cummDrift, cummOffset, cummStDev; | |
672 | unsigned int pv; | |
673 | ||
674 | pv= previousVertex[traceNum]; | |
675 | ||
676 | fit= &fitArray[pv][traceNum]; | |
677 | reduceFactors(fitArray, previousVertex, pv, &cummDrift, &cummOffset, | |
678 | &cummStDev); | |
679 | ||
680 | *drift= cummDrift * (1 + fit->x); | |
681 | *offset= cummDrift * fit->d0 + cummOffset; | |
682 | *stDev= fit->x * cummStDev + fit->e; | |
683 | } | |
684 | } | |
685 | ||
686 | ||
687 | /* | |
688 | * A GFunc for g_queue_foreach() | |
689 | * | |
690 | * Args: | |
691 | * data Graph*, graph to destroy | |
692 | * user_data NULL | |
693 | */ | |
694 | static void gfGraphDestroy(gpointer data, gpointer user_data) | |
695 | { | |
696 | Graph* graph; | |
697 | ||
698 | graph= (Graph*) data; | |
699 | ||
700 | free(graph->previousVertex); | |
701 | free(graph); | |
702 | } | |
703 | ||
704 | ||
705 | /* | |
706 | * A GCompareFunc for g_queue_find_custom() | |
707 | * | |
708 | * Args: | |
709 | * a: Graph* graph | |
710 | * b: unsigned int* traceNum | |
711 | * | |
712 | * Returns: | |
713 | * 0 if graph contains traceNum | |
714 | */ | |
715 | static gint gcfGraphTraceCompare(gconstpointer a, gconstpointer b) | |
716 | { | |
717 | Graph* graph; | |
718 | unsigned int traceNum; | |
719 | ||
720 | graph= (Graph*) a; | |
721 | traceNum= *(unsigned int *) b; | |
722 | ||
723 | if (graph->previousVertex[traceNum] != UINT_MAX) | |
724 | { | |
725 | return 0; | |
726 | } | |
727 | else if (graph->reference == traceNum) | |
728 | { | |
729 | return 0; | |
730 | } | |
731 | else | |
732 | { | |
733 | return 1; | |
734 | } | |
735 | } | |
736 | ||
08365995 BP |
737 | |
738 | /* | |
739 | * Write the analysis-specific graph lines in the gnuplot script. | |
740 | * | |
741 | * Args: | |
08365995 BP |
742 | * syncState: container for synchronization data |
743 | * i: first trace number, on the x axis | |
744 | * j: second trace number, garanteed to be larger than i | |
745 | */ | |
8d7d16dd BP |
746 | void writeAnalysisGraphsPlotsLinReg(SyncState* const syncState, const unsigned |
747 | int i, const unsigned int j) | |
08365995 BP |
748 | { |
749 | AnalysisDataLinReg* analysisData; | |
750 | Fit* fit; | |
751 | ||
752 | analysisData= (AnalysisDataLinReg*) syncState->analysisData; | |
753 | fit= &analysisData->fitArray[j][i]; | |
754 | ||
8d7d16dd | 755 | fprintf(syncState->graphsStream, |
08365995 BP |
756 | "\t%7g + %7g * x " |
757 | "title \"Linreg conversion\" with lines " | |
758 | "linecolor rgb \"gray60\" linetype 1, \\\n", | |
759 | fit->d0, 1. + fit->x); | |
760 | } |