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30 #include "libiberty.h"
31 #include "search_list.h"
34 #include "call_graph.h"
41 static int cmp_topo (const PTR, const PTR);
42 static void propagate_time (Sym *);
43 static void cycle_time (void);
44 static void cycle_link (void);
45 static void inherit_flags (Sym *);
46 static void propagate_flags (Sym **);
47 static int cmp_total (const PTR, const PTR);
50 unsigned int num_cycles;
55 * Return TRUE iff PARENT has an arc to covers the address
56 * range covered by CHILD.
59 arc_lookup (Sym *parent, Sym *child)
63 if (!parent || !child)
65 printf ("[arc_lookup] parent == 0 || child == 0\n");
68 DBG (LOOKUPDEBUG, printf ("[arc_lookup] parent %s child %s\n",
69 parent->name, child->name));
70 for (arc = parent->cg.children; arc; arc = arc->next_child)
72 DBG (LOOKUPDEBUG, printf ("[arc_lookup]\t parent %s child %s\n",
73 arc->parent->name, arc->child->name));
74 if (child->addr >= arc->child->addr
75 && child->end_addr <= arc->child->end_addr)
85 * Add (or just increment) an arc:
88 arc_add (Sym *parent, Sym *child, unsigned long count)
90 static unsigned int maxarcs = 0;
93 DBG (TALLYDEBUG, printf ("[arc_add] %lu arcs from %s to %s\n",
94 count, parent->name, child->name));
95 arc = arc_lookup (parent, child);
99 * A hit: just increment the count.
101 DBG (TALLYDEBUG, printf ("[tally] hit %lu += %lu\n",
106 arc = (Arc *) xmalloc (sizeof (*arc));
107 memset (arc, 0, sizeof (*arc));
108 arc->parent = parent;
112 /* If this isn't an arc for a recursive call to parent, then add it
113 to the array of arcs. */
116 /* If we've exhausted space in our current array, get a new one
117 and copy the contents. We might want to throttle the doubling
119 if (numarcs == maxarcs)
121 /* Determine how much space we want to allocate. */
126 /* Allocate the new array. */
127 newarcs = (Arc **)xmalloc(sizeof (Arc *) * maxarcs);
129 /* Copy the old array's contents into the new array. */
130 memcpy (newarcs, arcs, numarcs * sizeof (Arc *));
132 /* Free up the old array. */
135 /* And make the new array be the current array. */
139 /* Place this arc in the arc array. */
140 arcs[numarcs++] = arc;
143 /* prepend this child to the children of this parent: */
144 arc->next_child = parent->cg.children;
145 parent->cg.children = arc;
147 /* prepend this parent to the parents of this child: */
148 arc->next_parent = child->cg.parents;
149 child->cg.parents = arc;
154 cmp_topo (const PTR lp, const PTR rp)
156 const Sym *left = *(const Sym **) lp;
157 const Sym *right = *(const Sym **) rp;
159 return left->cg.top_order - right->cg.top_order;
164 propagate_time (Sym *parent)
168 double share, prop_share;
170 if (parent->cg.prop.fract == 0.0)
175 /* gather time from children of this parent: */
177 for (arc = parent->cg.children; arc; arc = arc->next_child)
180 if (arc->count == 0 || child == parent || child->cg.prop.fract == 0)
184 if (child->cg.cyc.head != child)
186 if (parent->cg.cyc.num == child->cg.cyc.num)
190 if (parent->cg.top_order <= child->cg.top_order)
192 fprintf (stderr, "[propagate] toporder botches\n");
194 child = child->cg.cyc.head;
198 if (parent->cg.top_order <= child->cg.top_order)
200 fprintf (stderr, "[propagate] toporder botches\n");
204 if (child->ncalls == 0)
209 /* distribute time for this arc: */
210 arc->time = child->hist.time * (((double) arc->count)
211 / ((double) child->ncalls));
212 arc->child_time = child->cg.child_time
213 * (((double) arc->count) / ((double) child->ncalls));
214 share = arc->time + arc->child_time;
215 parent->cg.child_time += share;
217 /* (1 - cg.prop.fract) gets lost along the way: */
218 prop_share = parent->cg.prop.fract * share;
220 /* fix things for printing: */
221 parent->cg.prop.child += prop_share;
222 arc->time *= parent->cg.prop.fract;
223 arc->child_time *= parent->cg.prop.fract;
225 /* add this share to the parent's cycle header, if any: */
226 if (parent->cg.cyc.head != parent)
228 parent->cg.cyc.head->cg.child_time += share;
229 parent->cg.cyc.head->cg.prop.child += prop_share;
232 printf ("[prop_time] child \t");
234 printf (" with %f %f %lu/%lu\n", child->hist.time,
235 child->cg.child_time, arc->count, child->ncalls);
236 printf ("[prop_time] parent\t");
238 printf ("\n[prop_time] share %f\n", share));
244 * Compute the time of a cycle as the sum of the times of all
252 for (cyc = &cycle_header[1]; cyc <= &cycle_header[num_cycles]; ++cyc)
254 for (member = cyc->cg.cyc.next; member; member = member->cg.cyc.next)
256 if (member->cg.prop.fract == 0.0)
259 * All members have the same propfraction except those
260 * that were excluded with -E.
264 cyc->hist.time += member->hist.time;
266 cyc->cg.prop.self = cyc->cg.prop.fract * cyc->hist.time;
274 Sym *sym, *cyc, *member;
278 /* count the number of cycles, and initialize the cycle lists: */
281 for (sym = symtab.base; sym < symtab.limit; ++sym)
283 /* this is how you find unattached cycles: */
284 if (sym->cg.cyc.head == sym && sym->cg.cyc.next)
291 * cycle_header is indexed by cycle number: i.e. it is origin 1,
294 cycle_header = (Sym *) xmalloc ((num_cycles + 1) * sizeof (Sym));
297 * Now link cycles to true cycle-heads, number them, accumulate
298 * the data for the cycle.
302 for (sym = symtab.base; sym < symtab.limit; ++sym)
304 if (!(sym->cg.cyc.head == sym && sym->cg.cyc.next != 0))
311 cyc->cg.print_flag = TRUE; /* should this be printed? */
312 cyc->cg.top_order = DFN_NAN; /* graph call chain top-sort order */
313 cyc->cg.cyc.num = num; /* internal number of cycle on */
314 cyc->cg.cyc.head = cyc; /* pointer to head of cycle */
315 cyc->cg.cyc.next = sym; /* pointer to next member of cycle */
316 DBG (CYCLEDEBUG, printf ("[cycle_link] ");
318 printf (" is the head of cycle %d\n", num));
320 /* link members to cycle header: */
321 for (member = sym; member; member = member->cg.cyc.next)
323 member->cg.cyc.num = num;
324 member->cg.cyc.head = cyc;
328 * Count calls from outside the cycle and those among cycle
331 for (member = sym; member; member = member->cg.cyc.next)
333 for (arc = member->cg.parents; arc; arc = arc->next_parent)
335 if (arc->parent == member)
339 if (arc->parent->cg.cyc.num == num)
341 cyc->cg.self_calls += arc->count;
345 cyc->ncalls += arc->count;
354 * Check if any parent of this child (or outside parents of this
355 * cycle) have their print flags on and set the print flag of the
356 * child (cycle) appropriately. Similarly, deal with propagation
357 * fractions from parents.
360 inherit_flags (Sym *child)
362 Sym *head, *parent, *member;
365 head = child->cg.cyc.head;
368 /* just a regular child, check its parents: */
369 child->cg.print_flag = FALSE;
370 child->cg.prop.fract = 0.0;
371 for (arc = child->cg.parents; arc; arc = arc->next_parent)
373 parent = arc->parent;
378 child->cg.print_flag |= parent->cg.print_flag;
380 * If the child was never actually called (e.g., this arc
381 * is static (and all others are, too)) no time propagates
384 if (child->ncalls != 0)
386 child->cg.prop.fract += parent->cg.prop.fract
387 * (((double) arc->count) / ((double) child->ncalls));
394 * Its a member of a cycle, look at all parents from outside
397 head->cg.print_flag = FALSE;
398 head->cg.prop.fract = 0.0;
399 for (member = head->cg.cyc.next; member; member = member->cg.cyc.next)
401 for (arc = member->cg.parents; arc; arc = arc->next_parent)
403 if (arc->parent->cg.cyc.head == head)
407 parent = arc->parent;
408 head->cg.print_flag |= parent->cg.print_flag;
410 * If the cycle was never actually called (e.g. this
411 * arc is static (and all others are, too)) no time
412 * propagates along this arc.
414 if (head->ncalls != 0)
416 head->cg.prop.fract += parent->cg.prop.fract
417 * (((double) arc->count) / ((double) head->ncalls));
421 for (member = head; member; member = member->cg.cyc.next)
423 member->cg.print_flag = head->cg.print_flag;
424 member->cg.prop.fract = head->cg.prop.fract;
431 * In one top-to-bottom pass over the topologically sorted symbols
433 * cg.print_flag as the union of parents' print_flags
434 * propfraction as the sum of fractional parents' propfractions
435 * and while we're here, sum time for functions.
438 propagate_flags (Sym **symbols)
441 Sym *old_head, *child;
444 for (sym_index = symtab.len - 1; sym_index >= 0; --sym_index)
446 child = symbols[sym_index];
448 * If we haven't done this function or cycle, inherit things
449 * from parent. This way, we are linear in the number of arcs
450 * since we do all members of a cycle (and the cycle itself)
451 * as we hit the first member of the cycle.
453 if (child->cg.cyc.head != old_head)
455 old_head = child->cg.cyc.head;
456 inherit_flags (child);
459 printf ("[prop_flags] ");
461 printf ("inherits print-flag %d and prop-fract %f\n",
462 child->cg.print_flag, child->cg.prop.fract));
463 if (!child->cg.print_flag)
466 * Printflag is off. It gets turned on by being in the
467 * INCL_GRAPH table, or there being an empty INCL_GRAPH
468 * table and not being in the EXCL_GRAPH table.
470 if (sym_lookup (&syms[INCL_GRAPH], child->addr)
471 || (syms[INCL_GRAPH].len == 0
472 && !sym_lookup (&syms[EXCL_GRAPH], child->addr)))
474 child->cg.print_flag = TRUE;
480 * This function has printing parents: maybe someone wants
481 * to shut it up by putting it in the EXCL_GRAPH table.
482 * (But favor INCL_GRAPH over EXCL_GRAPH.)
484 if (!sym_lookup (&syms[INCL_GRAPH], child->addr)
485 && sym_lookup (&syms[EXCL_GRAPH], child->addr))
487 child->cg.print_flag = FALSE;
490 if (child->cg.prop.fract == 0.0)
493 * No parents to pass time to. Collect time from children
494 * if its in the INCL_TIME table, or there is an empty
495 * INCL_TIME table and its not in the EXCL_TIME table.
497 if (sym_lookup (&syms[INCL_TIME], child->addr)
498 || (syms[INCL_TIME].len == 0
499 && !sym_lookup (&syms[EXCL_TIME], child->addr)))
501 child->cg.prop.fract = 1.0;
507 * It has parents to pass time to, but maybe someone wants
508 * to shut it up by puttting it in the EXCL_TIME table.
509 * (But favor being in INCL_TIME tabe over being in
512 if (!sym_lookup (&syms[INCL_TIME], child->addr)
513 && sym_lookup (&syms[EXCL_TIME], child->addr))
515 child->cg.prop.fract = 0.0;
518 child->cg.prop.self = child->hist.time * child->cg.prop.fract;
519 print_time += child->cg.prop.self;
521 printf ("[prop_flags] ");
523 printf (" ends up with printflag %d and prop-fract %f\n",
524 child->cg.print_flag, child->cg.prop.fract);
525 printf ("[prop_flags] time %f propself %f print_time %f\n",
526 child->hist.time, child->cg.prop.self, print_time));
532 * Compare by decreasing propagated time. If times are equal, but one
533 * is a cycle header, say that's first (e.g. less, i.e. -1). If one's
534 * name doesn't have an underscore and the other does, say that one is
535 * first. All else being equal, compare by names.
538 cmp_total (const PTR lp, const PTR rp)
540 const Sym *left = *(const Sym **) lp;
541 const Sym *right = *(const Sym **) rp;
544 diff = (left->cg.prop.self + left->cg.prop.child)
545 - (right->cg.prop.self + right->cg.prop.child);
554 if (!left->name && left->cg.cyc.num != 0)
558 if (!right->name && right->cg.cyc.num != 0)
570 if (left->name[0] != '_' && right->name[0] == '_')
574 if (left->name[0] == '_' && right->name[0] != '_')
578 if (left->ncalls > right->ncalls)
582 if (left->ncalls < right->ncalls)
586 return strcmp (left->name, right->name);
590 /* Topologically sort the graph (collapsing cycles), and propagates
591 time bottom up and flags top down. */
596 Sym *parent, **time_sorted_syms, **top_sorted_syms;
597 unsigned int sym_index;
600 /* Initialize various things:
601 Zero out child times.
602 Count self-recursive calls.
603 Indicate that nothing is on cycles. */
604 for (parent = symtab.base; parent < symtab.limit; parent++)
606 parent->cg.child_time = 0.0;
607 arc = arc_lookup (parent, parent);
608 if (arc && parent == arc->child)
610 parent->ncalls -= arc->count;
611 parent->cg.self_calls = arc->count;
615 parent->cg.self_calls = 0;
617 parent->cg.prop.fract = 0.0;
618 parent->cg.prop.self = 0.0;
619 parent->cg.prop.child = 0.0;
620 parent->cg.print_flag = FALSE;
621 parent->cg.top_order = DFN_NAN;
622 parent->cg.cyc.num = 0;
623 parent->cg.cyc.head = parent;
624 parent->cg.cyc.next = 0;
625 if (ignore_direct_calls)
626 find_call (parent, parent->addr, (parent + 1)->addr);
629 /* Topologically order things. If any node is unnumbered, number
630 it and any of its descendents. */
631 for (parent = symtab.base; parent < symtab.limit; parent++)
633 if (parent->cg.top_order == DFN_NAN)
637 /* Link together nodes on the same cycle. */
640 /* Sort the symbol table in reverse topological order. */
641 top_sorted_syms = (Sym **) xmalloc (symtab.len * sizeof (Sym *));
642 for (sym_index = 0; sym_index < symtab.len; ++sym_index)
643 top_sorted_syms[sym_index] = &symtab.base[sym_index];
645 qsort (top_sorted_syms, symtab.len, sizeof (Sym *), cmp_topo);
647 printf ("[cg_assemble] topological sort listing\n");
648 for (sym_index = 0; sym_index < symtab.len; ++sym_index)
650 printf ("[cg_assemble] ");
651 printf ("%d:", top_sorted_syms[sym_index]->cg.top_order);
652 print_name (top_sorted_syms[sym_index]);
657 /* Starting from the topological top, propagate print flags to
658 children. also, calculate propagation fractions. this happens
659 before time propagation since time propagation uses the
661 propagate_flags (top_sorted_syms);
663 /* Starting from the topological bottom, propagate children times
666 for (sym_index = 0; sym_index < symtab.len; ++sym_index)
667 propagate_time (top_sorted_syms[sym_index]);
669 free (top_sorted_syms);
671 /* Now, sort by CG.PROP.SELF + CG.PROP.CHILD. Sorting both the regular
672 function names and cycle headers. */
673 time_sorted_syms = (Sym **) xmalloc ((symtab.len + num_cycles) * sizeof (Sym *));
674 for (sym_index = 0; sym_index < symtab.len; sym_index++)
675 time_sorted_syms[sym_index] = &symtab.base[sym_index];
677 for (sym_index = 1; sym_index <= num_cycles; sym_index++)
678 time_sorted_syms[symtab.len + sym_index - 1] = &cycle_header[sym_index];
680 qsort (time_sorted_syms, symtab.len + num_cycles, sizeof (Sym *),
683 for (sym_index = 0; sym_index < symtab.len + num_cycles; sym_index++)
684 time_sorted_syms[sym_index]->cg.index = sym_index + 1;
686 return time_sorted_syms;