1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
|
/*
* Copyright (c) 1983 Regents of the University of California.
* All rights reserved.
*
* Redistribution and use in source and binary forms are permitted
* provided that: (1) source distributions retain this entire copyright
* notice and comment, and (2) distributions including binaries display
* the following acknowledgement: ``This product includes software
* developed by the University of California, Berkeley and its contributors''
* in the documentation or other materials provided with the distribution
* and in all advertising materials mentioning features or use of this
* software. Neither the name of the University nor the names of its
* contributors may be used to endorse or promote products derived
* from this software without specific prior written permission.
* THIS SOFTWARE IS PROVIDED ``AS IS'' AND WITHOUT ANY EXPRESS OR
* IMPLIED WARRANTIES, INCLUDING, WITHOUT LIMITATION, THE IMPLIED
* WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
*/
#ifndef lint
static char sccsid[] = "@(#)arcs.c 5.6 (Berkeley) 6/1/90";
#endif /* not lint */
#include "gprof.h"
/*
* add (or just increment) an arc
*/
addarc( parentp , childp , count )
nltype *parentp;
nltype *childp;
long count;
{
arctype *arcp;
# ifdef DEBUG
if ( debug & TALLYDEBUG ) {
printf( "[addarc] %d arcs from %s to %s\n" ,
count , parentp -> name , childp -> name );
}
# endif DEBUG
arcp = arclookup( parentp , childp );
if ( arcp != 0 ) {
/*
* a hit: just increment the count.
*/
# ifdef DEBUG
if ( debug & TALLYDEBUG ) {
printf( "[tally] hit %d += %d\n" ,
arcp -> arc_count , count );
}
# endif DEBUG
arcp -> arc_count += count;
return;
}
arcp = (arctype *) calloc( 1 , sizeof *arcp );
arcp -> arc_parentp = parentp;
arcp -> arc_childp = childp;
arcp -> arc_count = count;
/*
* prepend this child to the children of this parent
*/
arcp -> arc_childlist = parentp -> children;
parentp -> children = arcp;
/*
* prepend this parent to the parents of this child
*/
arcp -> arc_parentlist = childp -> parents;
childp -> parents = arcp;
}
/*
* the code below topologically sorts the graph (collapsing cycles),
* and propagates time bottom up and flags top down.
*/
/*
* the topologically sorted name list pointers
*/
nltype **topsortnlp;
topcmp( npp1 , npp2 )
nltype **npp1;
nltype **npp2;
{
return (*npp1) -> toporder - (*npp2) -> toporder;
}
nltype **
doarcs()
{
nltype *parentp, **timesortnlp;
arctype *arcp;
long index;
/*
* initialize various things:
* zero out child times.
* count self-recursive calls.
* indicate that nothing is on cycles.
*/
for ( parentp = nl ; parentp < npe ; parentp++ ) {
parentp -> childtime = 0.0;
arcp = arclookup( parentp , parentp );
if ( arcp != 0 ) {
parentp -> ncall -= arcp -> arc_count;
parentp -> selfcalls = arcp -> arc_count;
} else {
parentp -> selfcalls = 0;
}
parentp -> propfraction = 0.0;
parentp -> propself = 0.0;
parentp -> propchild = 0.0;
parentp -> printflag = FALSE;
parentp -> toporder = DFN_NAN;
parentp -> cycleno = 0;
parentp -> cyclehead = parentp;
parentp -> cnext = 0;
if ( cflag ) {
findcall( parentp , parentp -> value , (parentp+1) -> value );
}
}
/*
* topologically order things
* if any node is unnumbered,
* number it and any of its descendents.
*/
for ( parentp = nl ; parentp < npe ; parentp++ ) {
if ( parentp -> toporder == DFN_NAN ) {
dfn( parentp );
}
}
/*
* link together nodes on the same cycle
*/
cyclelink();
/*
* Sort the symbol table in reverse topological order
*/
topsortnlp = (nltype **) calloc( nname , sizeof(nltype *) );
if ( topsortnlp == (nltype **) 0 ) {
fprintf( stderr , "[doarcs] ran out of memory for topo sorting\n" );
}
for ( index = 0 ; index < nname ; index += 1 ) {
topsortnlp[ index ] = &nl[ index ];
}
qsort( topsortnlp , nname , sizeof(nltype *) , topcmp );
# ifdef DEBUG
if ( debug & DFNDEBUG ) {
printf( "[doarcs] topological sort listing\n" );
for ( index = 0 ; index < nname ; index += 1 ) {
printf( "[doarcs] " );
printf( "%d:" , topsortnlp[ index ] -> toporder );
printname( topsortnlp[ index ] );
printf( "\n" );
}
}
# endif DEBUG
/*
* starting from the topological top,
* propagate print flags to children.
* also, calculate propagation fractions.
* this happens before time propagation
* since time propagation uses the fractions.
*/
doflags();
/*
* starting from the topological bottom,
* propogate children times up to parents.
*/
dotime();
/*
* Now, sort by propself + propchild.
* sorting both the regular function names
* and cycle headers.
*/
timesortnlp = (nltype **) calloc( nname + ncycle , sizeof(nltype *) );
if ( timesortnlp == (nltype **) 0 ) {
fprintf( stderr , "%s: ran out of memory for sorting\n" , whoami );
}
for ( index = 0 ; index < nname ; index++ ) {
timesortnlp[index] = &nl[index];
}
for ( index = 1 ; index <= ncycle ; index++ ) {
timesortnlp[nname+index-1] = &cyclenl[index];
}
qsort( timesortnlp , nname + ncycle , sizeof(nltype *) , totalcmp );
for ( index = 0 ; index < nname + ncycle ; index++ ) {
timesortnlp[ index ] -> index = index + 1;
}
return( timesortnlp );
}
dotime()
{
int index;
cycletime();
for ( index = 0 ; index < nname ; index += 1 ) {
timepropagate( topsortnlp[ index ] );
}
}
timepropagate( parentp )
nltype *parentp;
{
arctype *arcp;
nltype *childp;
double share;
double propshare;
if ( parentp -> propfraction == 0.0 ) {
return;
}
/*
* gather time from children of this parent.
*/
for ( arcp = parentp -> children ; arcp ; arcp = arcp -> arc_childlist ) {
childp = arcp -> arc_childp;
if ( arcp -> arc_count == 0 ) {
continue;
}
if ( childp == parentp ) {
continue;
}
if ( childp -> propfraction == 0.0 ) {
continue;
}
if ( childp -> cyclehead != childp ) {
if ( parentp -> cycleno == childp -> cycleno ) {
continue;
}
if ( parentp -> toporder <= childp -> toporder ) {
fprintf( stderr , "[propagate] toporder botches\n" );
}
childp = childp -> cyclehead;
} else {
if ( parentp -> toporder <= childp -> toporder ) {
fprintf( stderr , "[propagate] toporder botches\n" );
continue;
}
}
if ( childp -> ncall == 0 ) {
continue;
}
/*
* distribute time for this arc
*/
arcp -> arc_time = childp -> time
* ( ( (double) arcp -> arc_count ) /
( (double) childp -> ncall ) );
arcp -> arc_childtime = childp -> childtime
* ( ( (double) arcp -> arc_count ) /
( (double) childp -> ncall ) );
share = arcp -> arc_time + arcp -> arc_childtime;
parentp -> childtime += share;
/*
* ( 1 - propfraction ) gets lost along the way
*/
propshare = parentp -> propfraction * share;
/*
* fix things for printing
*/
parentp -> propchild += propshare;
arcp -> arc_time *= parentp -> propfraction;
arcp -> arc_childtime *= parentp -> propfraction;
/*
* add this share to the parent's cycle header, if any.
*/
if ( parentp -> cyclehead != parentp ) {
parentp -> cyclehead -> childtime += share;
parentp -> cyclehead -> propchild += propshare;
}
# ifdef DEBUG
if ( debug & PROPDEBUG ) {
printf( "[dotime] child \t" );
printname( childp );
printf( " with %f %f %d/%d\n" ,
childp -> time , childp -> childtime ,
arcp -> arc_count , childp -> ncall );
printf( "[dotime] parent\t" );
printname( parentp );
printf( "\n[dotime] share %f\n" , share );
}
# endif DEBUG
}
}
cyclelink()
{
register nltype *nlp;
register nltype *cyclenlp;
int cycle;
nltype *memberp;
arctype *arcp;
/*
* Count the number of cycles, and initialze the cycle lists
*/
ncycle = 0;
for ( nlp = nl ; nlp < npe ; nlp++ ) {
/*
* this is how you find unattached cycles
*/
if ( nlp -> cyclehead == nlp && nlp -> cnext != 0 ) {
ncycle += 1;
}
}
/*
* cyclenl is indexed by cycle number:
* i.e. it is origin 1, not origin 0.
*/
cyclenl = (nltype *) calloc( ncycle + 1 , sizeof( nltype ) );
if ( cyclenl == 0 ) {
fprintf( stderr , "%s: No room for %d bytes of cycle headers\n" ,
whoami , ( ncycle + 1 ) * sizeof( nltype ) );
done();
}
/*
* now link cycles to true cycleheads,
* number them, accumulate the data for the cycle
*/
cycle = 0;
for ( nlp = nl ; nlp < npe ; nlp++ ) {
if ( !( nlp -> cyclehead == nlp && nlp -> cnext != 0 ) ) {
continue;
}
cycle += 1;
cyclenlp = &cyclenl[cycle];
cyclenlp -> name = 0; /* the name */
cyclenlp -> value = 0; /* the pc entry point */
cyclenlp -> time = 0.0; /* ticks in this routine */
cyclenlp -> childtime = 0.0; /* cumulative ticks in children */
cyclenlp -> ncall = 0; /* how many times called */
cyclenlp -> selfcalls = 0; /* how many calls to self */
cyclenlp -> propfraction = 0.0; /* what % of time propagates */
cyclenlp -> propself = 0.0; /* how much self time propagates */
cyclenlp -> propchild = 0.0; /* how much child time propagates */
cyclenlp -> printflag = TRUE; /* should this be printed? */
cyclenlp -> index = 0; /* index in the graph list */
cyclenlp -> toporder = DFN_NAN; /* graph call chain top-sort order */
cyclenlp -> cycleno = cycle; /* internal number of cycle on */
cyclenlp -> cyclehead = cyclenlp; /* pointer to head of cycle */
cyclenlp -> cnext = nlp; /* pointer to next member of cycle */
cyclenlp -> parents = 0; /* list of caller arcs */
cyclenlp -> children = 0; /* list of callee arcs */
# ifdef DEBUG
if ( debug & CYCLEDEBUG ) {
printf( "[cyclelink] " );
printname( nlp );
printf( " is the head of cycle %d\n" , cycle );
}
# endif DEBUG
/*
* link members to cycle header
*/
for ( memberp = nlp ; memberp ; memberp = memberp -> cnext ) {
memberp -> cycleno = cycle;
memberp -> cyclehead = cyclenlp;
}
/*
* count calls from outside the cycle
* and those among cycle members
*/
for ( memberp = nlp ; memberp ; memberp = memberp -> cnext ) {
for ( arcp=memberp->parents ; arcp ; arcp=arcp->arc_parentlist ) {
if ( arcp -> arc_parentp == memberp ) {
continue;
}
if ( arcp -> arc_parentp -> cycleno == cycle ) {
cyclenlp -> selfcalls += arcp -> arc_count;
} else {
cyclenlp -> ncall += arcp -> arc_count;
}
}
}
}
}
cycletime()
{
int cycle;
nltype *cyclenlp;
nltype *childp;
for ( cycle = 1 ; cycle <= ncycle ; cycle += 1 ) {
cyclenlp = &cyclenl[ cycle ];
for ( childp = cyclenlp -> cnext ; childp ; childp = childp -> cnext ) {
if ( childp -> propfraction == 0.0 ) {
/*
* all members have the same propfraction except those
* that were excluded with -E
*/
continue;
}
cyclenlp -> time += childp -> time;
}
cyclenlp -> propself = cyclenlp -> propfraction * cyclenlp -> time;
}
}
/*
* in one top to bottom pass over the topologically sorted namelist
* propagate:
* printflag as the union of parents' printflags
* propfraction as the sum of fractional parents' propfractions
* and while we're here, sum time for functions.
*/
doflags()
{
int index;
nltype *childp;
nltype *oldhead;
oldhead = 0;
for ( index = nname-1 ; index >= 0 ; index -= 1 ) {
childp = topsortnlp[ index ];
/*
* if we haven't done this function or cycle,
* inherit things from parent.
* this way, we are linear in the number of arcs
* since we do all members of a cycle (and the cycle itself)
* as we hit the first member of the cycle.
*/
if ( childp -> cyclehead != oldhead ) {
oldhead = childp -> cyclehead;
inheritflags( childp );
}
# ifdef DEBUG
if ( debug & PROPDEBUG ) {
printf( "[doflags] " );
printname( childp );
printf( " inherits printflag %d and propfraction %f\n" ,
childp -> printflag , childp -> propfraction );
}
# endif DEBUG
if ( ! childp -> printflag ) {
/*
* printflag is off
* it gets turned on by
* being on -f list,
* or there not being any -f list and not being on -e list.
*/
if ( onlist( flist , childp -> name )
|| ( !fflag && !onlist( elist , childp -> name ) ) ) {
childp -> printflag = TRUE;
}
} else {
/*
* this function has printing parents:
* maybe someone wants to shut it up
* by putting it on -e list. (but favor -f over -e)
*/
if ( ( !onlist( flist , childp -> name ) )
&& onlist( elist , childp -> name ) ) {
childp -> printflag = FALSE;
}
}
if ( childp -> propfraction == 0.0 ) {
/*
* no parents to pass time to.
* collect time from children if
* its on -F list,
* or there isn't any -F list and its not on -E list.
*/
if ( onlist( Flist , childp -> name )
|| ( !Fflag && !onlist( Elist , childp -> name ) ) ) {
childp -> propfraction = 1.0;
}
} else {
/*
* it has parents to pass time to,
* but maybe someone wants to shut it up
* by puttting it on -E list. (but favor -F over -E)
*/
if ( !onlist( Flist , childp -> name )
&& onlist( Elist , childp -> name ) ) {
childp -> propfraction = 0.0;
}
}
childp -> propself = childp -> time * childp -> propfraction;
printtime += childp -> propself;
# ifdef DEBUG
if ( debug & PROPDEBUG ) {
printf( "[doflags] " );
printname( childp );
printf( " ends up with printflag %d and propfraction %f\n" ,
childp -> printflag , childp -> propfraction );
printf( "time %f propself %f printtime %f\n" ,
childp -> time , childp -> propself , printtime );
}
# endif DEBUG
}
}
/*
* check if any parent of this child
* (or outside parents of this cycle)
* have their print flags on and set the
* print flag of the child (cycle) appropriately.
* similarly, deal with propagation fractions from parents.
*/
inheritflags( childp )
nltype *childp;
{
nltype *headp;
arctype *arcp;
nltype *parentp;
nltype *memp;
headp = childp -> cyclehead;
if ( childp == headp ) {
/*
* just a regular child, check its parents
*/
childp -> printflag = FALSE;
childp -> propfraction = 0.0;
for (arcp = childp -> parents ; arcp ; arcp = arcp -> arc_parentlist) {
parentp = arcp -> arc_parentp;
if ( childp == parentp ) {
continue;
}
childp -> printflag |= parentp -> printflag;
/*
* if the child was never actually called
* (e.g. this arc is static (and all others are, too))
* no time propagates along this arc.
*/
if ( childp -> ncall ) {
childp -> propfraction += parentp -> propfraction
* ( ( (double) arcp -> arc_count )
/ ( (double) childp -> ncall ) );
}
}
} else {
/*
* its a member of a cycle, look at all parents from
* outside the cycle
*/
headp -> printflag = FALSE;
headp -> propfraction = 0.0;
for ( memp = headp -> cnext ; memp ; memp = memp -> cnext ) {
for (arcp = memp->parents ; arcp ; arcp = arcp->arc_parentlist) {
if ( arcp -> arc_parentp -> cyclehead == headp ) {
continue;
}
parentp = arcp -> arc_parentp;
headp -> printflag |= parentp -> printflag;
/*
* if the cycle was never actually called
* (e.g. this arc is static (and all others are, too))
* no time propagates along this arc.
*/
if ( headp -> ncall ) {
headp -> propfraction += parentp -> propfraction
* ( ( (double) arcp -> arc_count )
/ ( (double) headp -> ncall ) );
}
}
}
for ( memp = headp ; memp ; memp = memp -> cnext ) {
memp -> printflag = headp -> printflag;
memp -> propfraction = headp -> propfraction;
}
}
}
|