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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 | ||
35 | #ifndef g_info | |
36 | #define g_info(format...) g_log (G_LOG_DOMAIN, G_LOG_LEVEL_INFO, format) | |
37 | #endif | |
38 | ||
39 | ||
40 | // Functions common to all analysis modules | |
41 | static void initAnalysisLinReg(SyncState* const syncState); | |
42 | static void destroyAnalysisLinReg(SyncState* const syncState); | |
43 | ||
10341d26 | 44 | static void analyzeExchangeLinReg(SyncState* const syncState, Exchange* const exchange); |
70407e86 BP |
45 | static GArray* finalizeAnalysisLinReg(SyncState* const syncState); |
46 | static void printAnalysisStatsLinReg(SyncState* const syncState); | |
8d7d16dd BP |
47 | static void writeAnalysisGraphsPlotsLinReg(SyncState* const syncState, const |
48 | unsigned int i, const unsigned int j); | |
70407e86 BP |
49 | |
50 | // Functions specific to this module | |
08365995 | 51 | static void registerAnalysisLinReg() __attribute__((constructor (102))); |
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52 | |
53 | static void finalizeLSA(SyncState* const syncState); | |
54 | static void doGraphProcessing(SyncState* const syncState); | |
55 | static GArray* calculateFactors(SyncState* const syncState); | |
56 | static void shortestPath(Fit* const* const fitArray, const unsigned int | |
57 | traceNum, const unsigned int traceNb, double* const distances, | |
58 | unsigned int* const previousVertex); | |
59 | static double sumDistances(const double* const distances, const unsigned int | |
60 | traceNb); | |
61 | static void reduceFactors(Fit* const* const fitArray, const unsigned int* const | |
62 | previousVertex, const unsigned int traceNum, double* const drift, | |
63 | double* const offset, double* const stDev); | |
64 | ||
65 | // Graph-related Glib functions | |
66 | static void gfGraphDestroy(gpointer data, gpointer user_data); | |
67 | static gint gcfGraphTraceCompare(gconstpointer a, gconstpointer b); | |
68 | ||
69 | ||
70 | static AnalysisModule analysisModuleLinReg= { | |
71 | .name= "linreg", | |
72 | .initAnalysis= &initAnalysisLinReg, | |
73 | .destroyAnalysis= &destroyAnalysisLinReg, | |
70407e86 BP |
74 | .analyzeExchange= &analyzeExchangeLinReg, |
75 | .finalizeAnalysis= &finalizeAnalysisLinReg, | |
76 | .printAnalysisStats= &printAnalysisStatsLinReg, | |
467066ee | 77 | .graphFunctions= { |
c6356aa7 | 78 | .writeTraceTraceForePlots= &writeAnalysisGraphsPlotsLinReg, |
467066ee | 79 | } |
70407e86 BP |
80 | }; |
81 | ||
82 | ||
83 | /* | |
84 | * Analysis module registering function | |
85 | */ | |
86 | static void registerAnalysisLinReg() | |
87 | { | |
88 | g_queue_push_tail(&analysisModules, &analysisModuleLinReg); | |
89 | } | |
90 | ||
91 | ||
92 | /* | |
93 | * Analysis init function | |
94 | * | |
95 | * This function is called at the beginning of a synchronization run for a set | |
96 | * of traces. | |
97 | * | |
98 | * Allocate some of the analysis specific data structures | |
99 | * | |
100 | * Args: | |
101 | * syncState container for synchronization data. | |
102 | * This function allocates these analysisData members: | |
103 | * fitArray | |
104 | * stDev | |
105 | */ | |
106 | static void initAnalysisLinReg(SyncState* const syncState) | |
107 | { | |
108 | unsigned int i; | |
109 | AnalysisDataLinReg* analysisData; | |
110 | ||
111 | analysisData= malloc(sizeof(AnalysisDataLinReg)); | |
112 | syncState->analysisData= analysisData; | |
113 | ||
114 | analysisData->fitArray= malloc(syncState->traceNb * sizeof(Fit*)); | |
115 | for (i= 0; i < syncState->traceNb; i++) | |
116 | { | |
117 | analysisData->fitArray[i]= calloc(syncState->traceNb, sizeof(Fit)); | |
118 | } | |
119 | ||
120 | if (syncState->stats) | |
121 | { | |
122 | analysisData->stDev= malloc(sizeof(double) * syncState->traceNb); | |
123 | } | |
124 | } | |
125 | ||
126 | ||
127 | /* | |
128 | * Analysis destroy function | |
129 | * | |
130 | * Free the analysis specific data structures | |
131 | * | |
132 | * Args: | |
133 | * syncState container for synchronization data. | |
134 | * This function deallocates these analysisData members: | |
135 | * fitArray | |
136 | * graphList | |
137 | * stDev | |
138 | */ | |
139 | static void destroyAnalysisLinReg(SyncState* const syncState) | |
140 | { | |
141 | unsigned int i; | |
142 | AnalysisDataLinReg* analysisData; | |
143 | ||
144 | analysisData= (AnalysisDataLinReg*) syncState->analysisData; | |
145 | ||
146 | if (analysisData == NULL) | |
147 | { | |
148 | return; | |
149 | } | |
150 | ||
151 | for (i= 0; i < syncState->traceNb; i++) | |
152 | { | |
153 | free(analysisData->fitArray[i]); | |
154 | } | |
155 | free(analysisData->fitArray); | |
156 | ||
157 | g_queue_foreach(analysisData->graphList, &gfGraphDestroy, NULL); | |
158 | g_queue_free(analysisData->graphList); | |
159 | ||
160 | if (syncState->stats) | |
161 | { | |
162 | free(analysisData->stDev); | |
163 | } | |
164 | ||
165 | free(syncState->analysisData); | |
166 | syncState->analysisData= NULL; | |
167 | } | |
168 | ||
169 | ||
170 | /* | |
171 | * Perform analysis on a series of event pairs. | |
172 | * | |
70407e86 BP |
173 | * Args: |
174 | * syncState container for synchronization data | |
10341d26 | 175 | * exchange structure containing the many events |
70407e86 | 176 | */ |
10341d26 | 177 | static void analyzeExchangeLinReg(SyncState* const syncState, Exchange* const exchange) |
70407e86 BP |
178 | { |
179 | unsigned int ni, nj; | |
180 | double dji, eji; | |
181 | double timoy; | |
182 | Fit* fit; | |
10341d26 | 183 | Message* ackedMessage; |
70407e86 BP |
184 | AnalysisDataLinReg* analysisData; |
185 | ||
186 | g_debug("Synchronization calculation, "); | |
187 | g_debug("%d acked packets - using last one, ", | |
10341d26 | 188 | g_queue_get_length(exchange->acks)); |
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189 | |
190 | analysisData= (AnalysisDataLinReg*) syncState->analysisData; | |
10341d26 | 191 | ackedMessage= g_queue_peek_tail(exchange->acks); |
70407e86 BP |
192 | |
193 | // Calculate the intermediate values for the | |
194 | // least-squares analysis | |
76be6fc2 BP |
195 | dji= ((double) ackedMessage->inE->cpuTime - (double) ackedMessage->outE->cpuTime |
196 | + (double) exchange->message->outE->cpuTime - (double) | |
197 | exchange->message->inE->cpuTime) / 2; | |
198 | eji= fabs((double) ackedMessage->inE->cpuTime - (double) | |
199 | ackedMessage->outE->cpuTime - (double) exchange->message->outE->cpuTime + | |
200 | (double) exchange->message->inE->cpuTime) / 2; | |
201 | timoy= ((double) ackedMessage->outE->cpuTime + (double) | |
202 | exchange->message->inE->cpuTime) / 2; | |
10341d26 BP |
203 | ni= ackedMessage->outE->traceNum; |
204 | nj= ackedMessage->inE->traceNum; | |
70407e86 BP |
205 | fit= &analysisData->fitArray[nj][ni]; |
206 | ||
207 | fit->n++; | |
208 | fit->st+= timoy; | |
209 | fit->st2+= pow(timoy, 2); | |
210 | fit->sd+= dji; | |
211 | fit->sd2+= pow(dji, 2); | |
212 | fit->std+= timoy * dji; | |
213 | ||
214 | g_debug("intermediate values: dji= %f ti moy= %f " | |
215 | "ni= %u nj= %u fit: n= %u st= %f st2= %f sd= %f " | |
216 | "sd2= %f std= %f, ", dji, timoy, ni, nj, fit->n, | |
217 | fit->st, fit->st2, fit->sd, fit->sd2, fit->std); | |
218 | } | |
219 | ||
220 | ||
221 | /* | |
222 | * Finalize the factor calculations | |
223 | * | |
224 | * The least squares analysis is finalized and finds the factors directly | |
225 | * between each pair of traces that had events together. The traces are | |
226 | * aranged in a graph, a reference trace is chosen and the factors between | |
227 | * this reference and every other trace is calculated. Sometimes it is | |
228 | * necessary to use many graphs when there are "islands" of independent | |
229 | * traces. | |
230 | * | |
231 | * Args: | |
232 | * syncState container for synchronization data. | |
233 | * | |
234 | * Returns: | |
235 | * Factors[traceNb] synchronization factors for each trace | |
236 | */ | |
237 | static GArray* finalizeAnalysisLinReg(SyncState* const syncState) | |
238 | { | |
239 | GArray* factors; | |
240 | ||
241 | // Finalize the processing | |
242 | finalizeLSA(syncState); | |
243 | ||
244 | // Find a reference node and structure nodes in a graph | |
245 | doGraphProcessing(syncState); | |
246 | ||
247 | /* Calculate the resulting offset and drift between each trace and its | |
248 | * reference | |
249 | */ | |
250 | factors= calculateFactors(syncState); | |
251 | ||
252 | return factors; | |
253 | } | |
254 | ||
255 | ||
256 | /* | |
257 | * Print statistics related to analysis. Must be called after | |
258 | * finalizeAnalysis. | |
259 | * | |
260 | * Args: | |
261 | * syncState container for synchronization data. | |
262 | */ | |
263 | static void printAnalysisStatsLinReg(SyncState* const syncState) | |
264 | { | |
265 | unsigned int i, j; | |
266 | AnalysisDataLinReg* analysisData; | |
267 | ||
268 | if (!syncState->stats) | |
269 | { | |
270 | return; | |
271 | } | |
272 | ||
273 | analysisData= (AnalysisDataLinReg*) syncState->analysisData; | |
274 | ||
275 | printf("Linear regression analysis stats:\n"); | |
276 | ||
277 | printf("\tIndividual synchronization factors:\n"); | |
278 | ||
279 | for (j= 0; j < syncState->traceNb; j++) | |
280 | { | |
281 | for (i= 0; i < j; i++) | |
282 | { | |
283 | Fit* fit; | |
284 | ||
285 | fit= &analysisData->fitArray[j][i]; | |
286 | printf("\t\t%3d - %-3d: ", i, j); | |
287 | printf("a0= % 7g a1= 1 %c %7g accuracy %7g\n", fit->d0, fit->x < | |
288 | 0. ? '-' : '+', fabs(fit->x), fit->e); | |
289 | ||
290 | fit= &analysisData->fitArray[i][j]; | |
291 | printf("\t\t%3d - %-3d: ", j, i); | |
292 | printf("a0= % 7g a1= 1 %c %7g accuracy %7g\n", fit->d0, fit->x < | |
293 | 0. ? '-' : '+', fabs(fit->x), fit->e); | |
294 | } | |
295 | } | |
296 | ||
297 | printf("\tTree:\n"); | |
298 | for (i= 0; i < syncState->traceNb; i++) | |
299 | { | |
300 | GList* result; | |
301 | ||
302 | result= g_queue_find_custom(analysisData->graphList, &i, | |
303 | &gcfGraphTraceCompare); | |
304 | if (result != NULL) | |
305 | { | |
306 | Graph* graph; | |
307 | ||
308 | graph= (Graph*) result->data; | |
309 | ||
310 | printf("\t\ttrace %u reference %u previous vertex ", i, | |
311 | graph->reference); | |
312 | ||
313 | if (i == graph->reference) | |
314 | { | |
315 | printf("- "); | |
316 | } | |
317 | else | |
318 | { | |
319 | printf("%u ", graph->previousVertex[i]); | |
320 | } | |
321 | ||
322 | printf("stdev= %g\n", analysisData->stDev[i]); | |
323 | } | |
324 | else | |
325 | { | |
326 | g_error("Trace %d not part of a graph\n", i); | |
327 | } | |
328 | } | |
329 | } | |
330 | ||
331 | ||
332 | /* | |
333 | * Finalize the least-squares analysis. The intermediate values in the fit | |
334 | * array are used to calculate the drift and the offset between each pair of | |
335 | * nodes based on their exchanges. | |
336 | * | |
337 | * Args: | |
338 | * syncState: container for synchronization data. | |
339 | */ | |
340 | static void finalizeLSA(SyncState* const syncState) | |
341 | { | |
342 | unsigned int i, j; | |
343 | AnalysisDataLinReg* analysisData; | |
344 | ||
345 | analysisData= (AnalysisDataLinReg*) syncState->analysisData; | |
346 | ||
347 | for (i= 0; i < syncState->traceNb; i++) | |
348 | { | |
349 | for (j= 0; j < syncState->traceNb; j++) | |
350 | { | |
351 | if (i != j) | |
352 | { | |
353 | Fit* fit; | |
354 | double delta; | |
355 | ||
356 | fit= &analysisData->fitArray[i][j]; | |
357 | ||
358 | delta= fit->n * fit->st2 - pow(fit->st, 2); | |
359 | fit->x= (fit->n * fit->std - fit->st * fit->sd) / delta; | |
360 | fit->d0= (fit->st2 * fit->sd - fit->st * fit->std) / delta; | |
361 | fit->e= sqrt((fit->sd2 - (fit->n * pow(fit->std, 2) + | |
362 | pow(fit->sd, 2) * fit->st2 - 2 * fit->st * fit->sd | |
363 | * fit->std) / delta) / (fit->n - 2)); | |
364 | ||
365 | g_debug("[i= %u j= %u]\n", i, j); | |
366 | g_debug("n= %d st= %g st2= %g sd= %g sd2= %g std= %g\n", | |
367 | fit->n, fit->st, fit->st2, fit->sd, fit->sd2, fit->std); | |
368 | g_debug("xij= %g d0ij= %g e= %g\n", fit->x, fit->d0, fit->e); | |
369 | g_debug("(xji= %g d0ji= %g)\n", -fit->x / (1 + fit->x), | |
370 | -fit->d0 / (1 + fit->x)); | |
371 | } | |
372 | } | |
373 | } | |
374 | } | |
375 | ||
376 | ||
377 | /* | |
378 | * Structure nodes in graphs of nodes that had exchanges. Each graph has a | |
379 | * reference node, the one that can reach the others with the smallest | |
380 | * cummulative error. | |
381 | * | |
382 | * Args: | |
383 | * syncState: container for synchronization data. | |
384 | * This function allocates these analysisData members: | |
385 | * graphList | |
386 | */ | |
387 | static void doGraphProcessing(SyncState* const syncState) | |
388 | { | |
389 | unsigned int i, j; | |
390 | double* distances; | |
391 | unsigned int* previousVertex; | |
392 | AnalysisDataLinReg* analysisData; | |
393 | ||
394 | analysisData= (AnalysisDataLinReg*) syncState->analysisData; | |
395 | ||
396 | distances= malloc(syncState->traceNb * sizeof(double)); | |
397 | previousVertex= malloc(syncState->traceNb * sizeof(unsigned int)); | |
398 | analysisData->graphList= g_queue_new(); | |
399 | ||
400 | for (i= 0; i < syncState->traceNb; i++) | |
401 | { | |
402 | double errorSum; | |
403 | GList* result; | |
404 | ||
405 | // Perform shortest path search | |
406 | g_debug("shortest path trace %d\ndistances: ", i); | |
407 | shortestPath(analysisData->fitArray, i, syncState->traceNb, distances, | |
408 | previousVertex); | |
409 | ||
410 | for (j= 0; j < syncState->traceNb; j++) | |
411 | { | |
412 | g_debug("%g, ", distances[j]); | |
413 | } | |
414 | g_debug("\npreviousVertex: "); | |
415 | for (j= 0; j < syncState->traceNb; j++) | |
416 | { | |
417 | g_debug("%u, ", previousVertex[j]); | |
418 | } | |
419 | g_debug("\n"); | |
420 | ||
421 | // Group in graphs nodes that have exchanges | |
422 | errorSum= sumDistances(distances, syncState->traceNb); | |
423 | result= g_queue_find_custom(analysisData->graphList, &i, | |
424 | &gcfGraphTraceCompare); | |
425 | if (result != NULL) | |
426 | { | |
427 | Graph* graph; | |
428 | ||
429 | g_debug("found graph\n"); | |
430 | graph= (Graph*) result->data; | |
431 | if (errorSum < graph->errorSum) | |
432 | { | |
433 | g_debug("adding to graph\n"); | |
434 | graph->errorSum= errorSum; | |
435 | free(graph->previousVertex); | |
436 | graph->previousVertex= previousVertex; | |
437 | graph->reference= i; | |
438 | previousVertex= malloc(syncState->traceNb * sizeof(unsigned | |
439 | int)); | |
440 | } | |
441 | } | |
442 | else | |
443 | { | |
444 | Graph* newGraph; | |
445 | ||
446 | g_debug("creating new graph\n"); | |
447 | newGraph= malloc(sizeof(Graph)); | |
448 | newGraph->errorSum= errorSum; | |
449 | newGraph->previousVertex= previousVertex; | |
450 | newGraph->reference= i; | |
451 | previousVertex= malloc(syncState->traceNb * sizeof(unsigned int)); | |
452 | ||
453 | g_queue_push_tail(analysisData->graphList, newGraph); | |
454 | } | |
455 | } | |
456 | ||
457 | free(previousVertex); | |
458 | free(distances); | |
459 | } | |
460 | ||
461 | ||
462 | /* | |
463 | * Calculate the resulting offset and drift between each trace and its | |
464 | * reference. | |
465 | * | |
466 | * Args: | |
467 | * syncState: container for synchronization data. | |
468 | * | |
469 | * Returns: | |
470 | * Factors[traceNb] synchronization factors for each trace | |
471 | */ | |
472 | static GArray* calculateFactors(SyncState* const syncState) | |
473 | { | |
474 | unsigned int i; | |
475 | AnalysisDataLinReg* analysisData; | |
476 | GArray* factors; | |
477 | ||
478 | analysisData= (AnalysisDataLinReg*) syncState->analysisData; | |
479 | factors= g_array_sized_new(FALSE, FALSE, sizeof(Factors), | |
480 | syncState->traceNb); | |
08365995 | 481 | g_array_set_size(factors, syncState->traceNb); |
70407e86 BP |
482 | |
483 | // Calculate the resulting offset and drift between each trace and its | |
484 | // reference | |
485 | for (i= 0; i < syncState->traceNb; i++) | |
486 | { | |
487 | GList* result; | |
488 | ||
489 | result= g_queue_find_custom(analysisData->graphList, &i, | |
490 | &gcfGraphTraceCompare); | |
491 | if (result != NULL) | |
492 | { | |
493 | Graph* graph; | |
494 | double stDev; | |
495 | Factors* traceFactors; | |
496 | ||
497 | graph= (Graph*) result->data; | |
498 | traceFactors= &g_array_index(factors, Factors, i); | |
499 | ||
500 | reduceFactors(analysisData->fitArray, graph->previousVertex, i, | |
501 | &traceFactors->drift, &traceFactors->offset, &stDev); | |
502 | ||
503 | if (syncState->stats) | |
504 | { | |
505 | analysisData->stDev[i]= stDev; | |
506 | } | |
507 | } | |
508 | else | |
509 | { | |
510 | g_error("Trace %d not part of a graph\n", i); | |
511 | } | |
512 | } | |
513 | ||
514 | return factors; | |
515 | } | |
516 | ||
517 | ||
518 | /* | |
519 | * Single-source shortest path search to find the path with the lowest error to | |
520 | * convert one node's time to another. | |
521 | * Uses Dijkstra's algorithm | |
522 | * | |
523 | * Args: | |
524 | * fitArray: array with the regression parameters | |
525 | * traceNum: reference node | |
526 | * traceNb: number of traces = number of nodes | |
527 | * distances: array of computed distance from source node to node i, | |
528 | * INFINITY if i is unreachable, preallocated to the number of | |
529 | * nodes | |
530 | * previousVertex: previous vertex from a node i on the way to the source, | |
531 | * UINT_MAX if i is not on the way or is the source, | |
532 | * preallocated to the number of nodes | |
533 | */ | |
534 | static void shortestPath(Fit* const* const fitArray, const unsigned int | |
535 | traceNum, const unsigned int traceNb, double* const distances, unsigned | |
536 | int* const previousVertex) | |
537 | { | |
538 | bool* visited; | |
539 | unsigned int i, j; | |
540 | ||
541 | visited= malloc(traceNb * sizeof(bool)); | |
542 | ||
543 | for (i= 0; i < traceNb; i++) | |
544 | { | |
545 | const Fit* fit; | |
546 | ||
547 | visited[i]= false; | |
548 | ||
549 | fit= &fitArray[traceNum][i]; | |
550 | g_debug("fitArray[traceNum= %u][i= %u]->n = %u\n", traceNum, i, fit->n); | |
551 | if (fit->n > 0) | |
552 | { | |
553 | distances[i]= fit->e; | |
554 | previousVertex[i]= traceNum; | |
555 | } | |
556 | else | |
557 | { | |
558 | distances[i]= INFINITY; | |
559 | previousVertex[i]= UINT_MAX; | |
560 | } | |
561 | } | |
562 | visited[traceNum]= true; | |
563 | ||
564 | for (j= 0; j < traceNb; j++) | |
565 | { | |
566 | g_debug("(%d, %u, %g), ", visited[j], previousVertex[j], distances[j]); | |
567 | } | |
568 | g_debug("\n"); | |
569 | ||
570 | for (i= 0; i < traceNb - 2; i++) | |
571 | { | |
572 | unsigned int v; | |
573 | double dvMin; | |
574 | ||
575 | dvMin= INFINITY; | |
576 | for (j= 0; j < traceNb; j++) | |
577 | { | |
578 | if (visited[j] == false && distances[j] < dvMin) | |
579 | { | |
580 | v= j; | |
581 | dvMin= distances[j]; | |
582 | } | |
583 | } | |
584 | ||
585 | g_debug("v= %u dvMin= %g\n", v, dvMin); | |
586 | ||
587 | if (dvMin != INFINITY) | |
588 | { | |
589 | visited[v]= true; | |
590 | ||
591 | for (j= 0; j < traceNb; j++) | |
592 | { | |
593 | const Fit* fit; | |
594 | ||
595 | fit= &fitArray[v][j]; | |
596 | if (visited[j] == false && fit->n > 0 && distances[v] + fit->e | |
597 | < distances[j]) | |
598 | { | |
599 | distances[j]= distances[v] + fit->e; | |
600 | previousVertex[j]= v; | |
601 | } | |
602 | } | |
603 | } | |
604 | else | |
605 | { | |
606 | break; | |
607 | } | |
608 | ||
609 | for (j= 0; j < traceNb; j++) | |
610 | { | |
611 | g_debug("(%d, %u, %g), ", visited[j], previousVertex[j], distances[j]); | |
612 | } | |
613 | g_debug("\n"); | |
614 | } | |
615 | ||
616 | free(visited); | |
617 | } | |
618 | ||
619 | ||
620 | /* | |
621 | * Cummulate the distances between a reference node and the other nodes | |
622 | * reachable from it in a graph. | |
623 | * | |
624 | * Args: | |
625 | * distances: array of shortest path distances, with UINT_MAX for | |
626 | * unreachable nodes | |
627 | * traceNb: number of nodes = number of traces | |
628 | */ | |
629 | static double sumDistances(const double* const distances, const unsigned int traceNb) | |
630 | { | |
631 | unsigned int i; | |
632 | double result; | |
633 | ||
634 | result= 0; | |
635 | for (i= 0; i < traceNb; i++) | |
636 | { | |
637 | if (distances[i] != INFINITY) | |
638 | { | |
639 | result+= distances[i]; | |
640 | } | |
641 | } | |
642 | ||
643 | return result; | |
644 | } | |
645 | ||
646 | ||
647 | /* | |
648 | * Cummulate the time correction factors between two nodes accross a graph | |
649 | * | |
650 | * With traceNum i, reference node r: | |
651 | * tr= (1 + Xri) * ti + D0ri | |
652 | * = drift * ti + offset | |
653 | * | |
654 | * Args: | |
655 | * fitArray: array with the regression parameters | |
656 | * previousVertex: previous vertex from a node i on the way to the source, | |
657 | * UINT_MAX if i is not on the way or is the source, | |
658 | * preallocated to the number of nodes | |
659 | * traceNum: end node, the reference depends on previousVertex | |
660 | * drift: drift factor | |
661 | * offset: offset factor | |
662 | */ | |
663 | static void reduceFactors(Fit* const* const fitArray, const unsigned int* const | |
664 | previousVertex, const unsigned int traceNum, double* const drift, double* | |
665 | const offset, double* const stDev) | |
666 | { | |
667 | if (previousVertex[traceNum] == UINT_MAX) | |
668 | { | |
669 | *drift= 1.; | |
670 | *offset= 0.; | |
671 | *stDev= 0.; | |
672 | } | |
673 | else | |
674 | { | |
675 | const Fit* fit; | |
676 | double cummDrift, cummOffset, cummStDev; | |
677 | unsigned int pv; | |
678 | ||
679 | pv= previousVertex[traceNum]; | |
680 | ||
681 | fit= &fitArray[pv][traceNum]; | |
682 | reduceFactors(fitArray, previousVertex, pv, &cummDrift, &cummOffset, | |
683 | &cummStDev); | |
684 | ||
685 | *drift= cummDrift * (1 + fit->x); | |
686 | *offset= cummDrift * fit->d0 + cummOffset; | |
687 | *stDev= fit->x * cummStDev + fit->e; | |
688 | } | |
689 | } | |
690 | ||
691 | ||
692 | /* | |
693 | * A GFunc for g_queue_foreach() | |
694 | * | |
695 | * Args: | |
696 | * data Graph*, graph to destroy | |
697 | * user_data NULL | |
698 | */ | |
699 | static void gfGraphDestroy(gpointer data, gpointer user_data) | |
700 | { | |
701 | Graph* graph; | |
702 | ||
703 | graph= (Graph*) data; | |
704 | ||
705 | free(graph->previousVertex); | |
706 | free(graph); | |
707 | } | |
708 | ||
709 | ||
710 | /* | |
711 | * A GCompareFunc for g_queue_find_custom() | |
712 | * | |
713 | * Args: | |
714 | * a: Graph* graph | |
715 | * b: unsigned int* traceNum | |
716 | * | |
717 | * Returns: | |
718 | * 0 if graph contains traceNum | |
719 | */ | |
720 | static gint gcfGraphTraceCompare(gconstpointer a, gconstpointer b) | |
721 | { | |
722 | Graph* graph; | |
723 | unsigned int traceNum; | |
724 | ||
725 | graph= (Graph*) a; | |
726 | traceNum= *(unsigned int *) b; | |
727 | ||
728 | if (graph->previousVertex[traceNum] != UINT_MAX) | |
729 | { | |
730 | return 0; | |
731 | } | |
732 | else if (graph->reference == traceNum) | |
733 | { | |
734 | return 0; | |
735 | } | |
736 | else | |
737 | { | |
738 | return 1; | |
739 | } | |
740 | } | |
741 | ||
08365995 BP |
742 | |
743 | /* | |
744 | * Write the analysis-specific graph lines in the gnuplot script. | |
745 | * | |
746 | * Args: | |
08365995 BP |
747 | * syncState: container for synchronization data |
748 | * i: first trace number, on the x axis | |
749 | * j: second trace number, garanteed to be larger than i | |
750 | */ | |
8d7d16dd BP |
751 | void writeAnalysisGraphsPlotsLinReg(SyncState* const syncState, const unsigned |
752 | int i, const unsigned int j) | |
08365995 BP |
753 | { |
754 | AnalysisDataLinReg* analysisData; | |
755 | Fit* fit; | |
756 | ||
757 | analysisData= (AnalysisDataLinReg*) syncState->analysisData; | |
758 | fit= &analysisData->fitArray[j][i]; | |
759 | ||
8d7d16dd | 760 | fprintf(syncState->graphsStream, |
08365995 BP |
761 | "\t%7g + %7g * x " |
762 | "title \"Linreg conversion\" with lines " | |
763 | "linecolor rgb \"gray60\" linetype 1, \\\n", | |
764 | fit->d0, 1. + fit->x); | |
765 | } |