Add minimal fixpoint VRP.
[libfirm] / ir / ana / irlivechk.c
1 /*
2  * Copyright (C) 1995-2007 Inria Rhone-Alpes.  All right reserved.
3  *
4  * This file is part of libFirm.
5  *
6  * This file may be distributed and/or modified under the terms of the
7  * GNU General Public License version 2 as published by the Free Software
8  * Foundation and appearing in the file LICENSE.GPL included in the
9  * packaging of this file.
10  *
11  * Licensees holding valid libFirm Professional Edition licenses may use
12  * this file in accordance with the libFirm Commercial License.
13  * Agreement provided with the Software.
14  *
15  * This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
16  * WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR
17  * PURPOSE.
18  */
19
20 /**
21  * @file    livechk.c
22  * @date    21.04.2007
23  * @author  Sebastian Hack
24  * @version $Id$
25  * @brief
26  *
27  * Liveness checks as developed by Benoit Boissinot, Fabrice Rastello and myself.
28  *
29  * The speciality here is, that nothing has to be recomputed if new nodes are created
30  * or old ones deleted.
31  *
32  * This algo has one core routine check_live_end_internal() which performs the liveness check.
33  * It only relies on the precomputation done in the constructor, which in turn needs:
34  * - out edges
35  * - the dominance tree
36  * - data obtained from a depth-first-search
37  *
38  * The precomputation remains valid as long as the CFG is not altered.
39  */
40 #include <config.h>
41
42 #include <stdio.h>
43
44 #include "irgraph_t.h"
45 #include "irnode_t.h"
46 #include "irphase_t.h"
47 #include "iredges_t.h"
48
49 #include "irprintf.h"
50 #include "irdom.h"
51 #include "irdump.h"
52
53 #include "dfs_t.h"
54 #include "bitset.h"
55 #include "util.h"
56
57 #include "irlivechk.h"
58
59 #include "statev.h"
60
61 typedef struct _bl_info_t {
62         const ir_node *block;      /**< The block. */
63
64         int be_tgt_calc : 1;
65         int id : 31;               /**< a tight number for the block.
66                                                                  we're just reusing the pre num from
67                                                                  the DFS. */
68         bitset_t *red_reachable;   /**< Holds all id's if blocks reachable
69                                                                  in the CFG modulo back edges. */
70
71         bitset_t *be_tgt_reach;    /**< target blocks of back edges whose
72                                                                  sources are reachable from this block
73                                                                  in the reduced graph. */
74 } bl_info_t;
75
76 #define get_block_info(lv, bl) ((bl_info_t *) phase_get_irn_data(&(lv)->ph, bl))
77
78 struct _lv_chk_t {
79         ir_phase     ph;
80         const dfs_t *dfs;
81         int          n_blocks;
82         bitset_t    *back_edge_src;
83         bitset_t    *back_edge_tgt;
84         bl_info_t  **map;
85         DEBUG_ONLY(firm_dbg_module_t *dbg;)
86 };
87
88 static void *init_block_data(ir_phase *ph, const ir_node *irn, void *old)
89 {
90         lv_chk_t *lv      = container_of(ph, lv_chk_t, ph);
91         bl_info_t *bi     = phase_alloc(ph, sizeof(bi[0]));
92
93         bi->id            = get_Block_dom_tree_pre_num(irn);
94         bi->block         = irn;
95         bi->red_reachable = bitset_obstack_alloc(phase_obst(ph), lv->n_blocks);
96         bi->be_tgt_reach  = bitset_obstack_alloc(phase_obst(ph), lv->n_blocks);
97         bi->be_tgt_calc   = 0;
98         (void) old;
99         return bi;
100 }
101
102 /**
103  * Filter function to select all nodes for which liveness is computed.
104  * @param irn A node.
105  * @return    1 if the node shall be considered in liveness, 0 if not.
106  */
107 static inline int is_liveness_node(const ir_node *irn)
108 {
109         switch (get_irn_opcode(irn)) {
110         case iro_Block:
111         case iro_Bad:
112         case iro_End:
113         case iro_Anchor:
114                 return 0;
115         default:
116                 break;
117         }
118
119         return 1;
120 }
121
122 /**
123  * Compute the transitive closure on the reduced graph.
124  * The reduced graph is the original graph without back edges.
125  * Since that is a DAG, a reverse post order of the graph gives a toposort
126  * which is ideally suited to compute the transitive closure.
127  * Note also, that the DFS tree of the reduced graph is the same than the one
128  * of the original graph. This saves us computing a new reverse post order.
129  * We also can re-use the DFS tree of the original graph.
130  */
131 static void red_trans_closure(lv_chk_t *lv)
132 {
133         int i, n;
134
135         for (i = 0, n = dfs_get_n_nodes(lv->dfs); i < n; ++i) {
136                 const ir_node *bl   = dfs_get_post_num_node(lv->dfs, i);
137                 bl_info_t *bi = get_block_info(lv, bl);
138
139                 const ir_edge_t *edge;
140
141                 bitset_set(bi->red_reachable, bi->id);
142                 foreach_block_succ (bl, edge) {
143                         ir_node *succ = get_edge_src_irn(edge);
144                         bl_info_t *si = get_block_info(lv, succ);
145                         dfs_edge_kind_t kind = dfs_get_edge_kind(lv->dfs, bl, succ);
146
147                         /*
148                          * if the successor is no back edge, include all reachable
149                          * blocks from there into the reachable set of the current node
150                          */
151                         if (kind != DFS_EDGE_BACK) {
152                                 assert(dfs_get_post_num(lv->dfs, bl) > dfs_get_post_num(lv->dfs, succ));
153                                 bitset_or(bi->red_reachable, si->red_reachable);
154                         }
155
156                         /* mark the block as a back edge src and succ as back edge tgt. */
157                         else {
158                                 bitset_set(lv->back_edge_src, bi->id);
159                                 bitset_set(lv->back_edge_tgt, si->id);
160                         }
161                 }
162
163         }
164
165 }
166
167 static void compute_back_edge_chain(lv_chk_t *lv, const ir_node *bl)
168 {
169         bitset_t *tmp = bitset_alloca(lv->n_blocks);
170         bl_info_t *bi = get_block_info(lv, bl);
171
172         unsigned elm;
173
174         DBG((lv->dbg, LEVEL_2, "computing T_%d\n", bi->id));
175
176         /* put all back edge sources reachable (reduced) from here in tmp */
177         bitset_copy(tmp, bi->red_reachable);
178         bitset_set(tmp, bi->id);
179         bitset_and(tmp, lv->back_edge_src);
180         bi->be_tgt_calc = 1;
181
182         DBG((lv->dbg, LEVEL_2, "\treachable be src: %B\n", tmp));
183
184         /* iterate over them ... */
185         bitset_foreach(tmp, elm) {
186                 bl_info_t *si = lv->map[elm];
187                 const ir_edge_t *edge;
188
189                 /* and find back edge targets which are not reduced reachable from bl */
190                 foreach_block_succ (si->block, edge) {
191                         ir_node *tgt         = get_edge_src_irn(edge);
192                         bl_info_t *ti        = get_block_info(lv, tgt);
193                         dfs_edge_kind_t kind = dfs_get_edge_kind(lv->dfs, si->block, tgt);
194
195                         if (kind == DFS_EDGE_BACK && !bitset_is_set(bi->red_reachable, ti->id)) {
196                                 if (!ti->be_tgt_calc)
197                                         compute_back_edge_chain(lv, tgt);
198                                 bitset_set(bi->be_tgt_reach, ti->id);
199                                 bitset_or(bi->be_tgt_reach, ti->be_tgt_reach);
200                         }
201                 }
202                 bitset_clear(bi->be_tgt_reach, bi->id);
203         }
204 }
205
206
207 static inline void compute_back_edge_chains(lv_chk_t *lv)
208 {
209         unsigned elm;
210         int i, n;
211
212         DBG((lv->dbg, LEVEL_2, "back edge sources: %B\n", lv->back_edge_src));
213         bitset_foreach(lv->back_edge_src, elm) {
214                 compute_back_edge_chain(lv, lv->map[elm]->block);
215         }
216
217         for (i = 0, n = dfs_get_n_nodes(lv->dfs); i < n; ++i) {
218                 const ir_node *bl = dfs_get_post_num_node(lv->dfs, i);
219                 bl_info_t *bi     = get_block_info(lv, bl);
220
221                 const ir_edge_t *edge;
222
223                 if (!bitset_is_set(lv->back_edge_tgt, bi->id)) {
224                         foreach_block_succ (bl, edge) {
225                                 ir_node *succ = get_edge_src_irn(edge);
226                                 bl_info_t *si = get_block_info(lv, succ);
227                                 dfs_edge_kind_t kind = dfs_get_edge_kind(lv->dfs, bl, succ);
228
229                                 if (kind != DFS_EDGE_BACK) {
230                                         assert(dfs_get_post_num(lv->dfs, bl) > dfs_get_post_num(lv->dfs, succ));
231                                         bitset_or(bi->be_tgt_reach, si->be_tgt_reach);
232                                 }
233                         }
234                 }
235         }
236
237         for (i = 0, n = dfs_get_n_nodes(lv->dfs); i < n; ++i) {
238                 const ir_node *bl = dfs_get_post_num_node(lv->dfs, i);
239                 bl_info_t *bi     = get_block_info(lv, bl);
240                 bitset_set(bi->be_tgt_reach, bi->id);
241         }
242 }
243
244 lv_chk_t *lv_chk_new(ir_graph *irg, const dfs_t *dfs)
245 {
246         lv_chk_t *res = XMALLOC(lv_chk_t);
247         struct obstack *obst;
248         int i;
249
250         edges_deactivate(irg);
251         edges_activate(irg);
252         compute_doms(irg);
253
254         stat_ev_tim_push();
255         phase_init(&res->ph, irg, init_block_data);
256         obst = phase_obst(&res->ph);
257
258         FIRM_DBG_REGISTER(res->dbg, "ir.ana.lvchk");
259
260         res->dfs           = dfs;
261         res->n_blocks      = dfs_get_n_nodes(res->dfs);
262         res->back_edge_src = bitset_obstack_alloc(obst, res->n_blocks);
263         res->back_edge_tgt = bitset_obstack_alloc(obst, res->n_blocks);
264         res->map           = OALLOCNZ(obst, bl_info_t*, res->n_blocks);
265
266 #if 0
267         {
268                 char name[256];
269                 FILE *f;
270                 ir_snprintf(name, sizeof(name), "dfs_%F.dot", irg);
271                 if ((f = fopen(name, "wt")) != NULL) {
272                         dfs_dump(res->dfs, f);
273                         fclose(f);
274                 }
275                 dump_ir_block_graph(irg, "-lvchk");
276         }
277 #endif
278
279         /* fill the map which maps pre_num to block infos */
280         for (i = res->n_blocks - 1; i >= 0; --i) {
281                 ir_node *irn  = (ir_node *) dfs_get_pre_num_node(res->dfs, i);
282                 bl_info_t *bi = phase_get_or_set_irn_data(&res->ph, irn);
283                 assert(bi->id < res->n_blocks);
284                 assert(res->map[bi->id] == NULL);
285                 res->map[bi->id] = bi;
286         }
287
288         /* first of all, compute the transitive closure of the CFG *without* back edges */
289         red_trans_closure(res);
290
291         /* compute back edge chains */
292         compute_back_edge_chains(res);
293
294 #ifndef NDEBUG
295         DBG((res->dbg, LEVEL_1, "liveness chk in %+F\n", irg));
296         for (i = res->n_blocks - 1; i >= 0; --i) {
297                 const ir_node *irn = dfs_get_pre_num_node(res->dfs, i);
298                 bl_info_t *bi      = get_block_info(res, irn);
299                 DBG((res->dbg, LEVEL_1, "lv_chk for %d -> %+F\n", i, irn));
300                 DBG((res->dbg, LEVEL_1, "\tred reach: %B\n", bi->red_reachable));
301                 DBG((res->dbg, LEVEL_1, "\ttgt reach: %B\n", bi->be_tgt_reach));
302         }
303 #endif
304
305         DBG((res->dbg, LEVEL_1, "back edge src: %B\n", res->back_edge_src));
306         DBG((res->dbg, LEVEL_1, "back edge tgt: %B\n", res->back_edge_tgt));
307
308         stat_ev_tim_pop("lv_chk_cons_time");
309         return res;
310 }
311
312 void lv_chk_free(lv_chk_t *lv)
313 {
314         phase_deinit(&lv->ph);
315         xfree(lv);
316 }
317
318 #if 0
319 /**
320  * Check if a node is live at the end of a block.
321  * This function is for internal use as its code is shared between
322  * the in/end routines below. It is almost the "live_end" routine
323  * but passing in the bitset for recording the blocks where the variable
324  * is used saves some effort in the "live_in" routine. See below for
325  * details.
326  *
327  * @param lv    The liveness check environment.
328  * @param what  The node to check for.
329  * @param bl    The block under investigation.
330  * @param uses  A bitset where this routine records all ids of blocks
331  *              where this variable is used. Note that the bitset
332  *              is only guaranteed to be filled if the node was not
333  *              live at the end of the block.
334  * @return      1, if @p what is live at the end at @p bl.
335  */
336 unsigned lv_chk_bl_in_mask(const lv_chk_t *lv, const ir_node *bl, const ir_node *var)
337 {
338         ir_node *def_bl;
339         const ir_edge_t *edge;
340
341         stat_ev_cnt_decl(uses);
342
343         int res = 0;
344
345         assert(is_Block(bl) && "can only check for liveness in a block");
346
347         if (!is_liveness_node(var))
348                 return 0;
349
350         def_bl = get_nodes_block(var);
351         if (def_bl == bl || !block_dominates(def_bl, bl)) {
352                 goto end;
353         }
354
355         else {
356                 bitset_t *uses = bitset_alloca(lv->n_blocks);
357                 bitset_t *tmp  = bitset_alloca(lv->n_blocks);
358                 int min_dom    = get_Block_dom_tree_pre_num(def_bl) + 1;
359                 int max_dom    = get_Block_dom_max_subtree_pre_num(def_bl);
360                 bl_info_t *bli = get_block_info(lv, bl);
361                 int i;
362
363                 DBG((lv->dbg, LEVEL_2, "lv check of %+F, def=%+F,%d != q=%+F,%d\n",
364                                         var, def_bl, min_dom - 1, bl, bli->id));
365
366                 foreach_out_edge (var, edge) {
367                         ir_node *user = get_edge_src_irn(edge);
368                         ir_node *use_bl;
369                         bl_info_t *bi;
370
371                         if (!is_liveness_node(user))
372                                 continue;
373
374                         stat_ev_cnt_inc(uses);
375                         use_bl = get_nodes_block(user);
376                         if (is_Phi(user)) {
377                                 int pos = get_edge_src_pos(edge);
378                                 use_bl  = get_Block_cfgpred_block(use_bl, pos);
379                         }
380
381                         if (use_bl == bl) {
382                                 res = lv_chk_state_in;
383                                 DBG((lv->dbg, LEVEL_2, "\tuse directly in block %+F by %+F\n", use_bl, user));
384                                 goto end;
385                         }
386
387                         bi = get_block_info(lv, use_bl);
388                         bitset_set(uses, bi->id);
389                 }
390
391                 DBG((lv->dbg, LEVEL_2, "\tuses: %B\n", uses));
392
393                 {
394
395                         bitset_copy(tmp, bli->be_tgt_reach);
396                         bitset_set(tmp, bli->id);
397
398                         DBG((lv->dbg, LEVEL_2, "\tbe tgt reach: %B, dom span: [%d, %d]\n", tmp, min_dom, max_dom));
399                         for (i = bitset_next_set(tmp, min_dom); i >= 0 && i <= max_dom; i = bitset_next_set(tmp, i + 1)) {
400                                 bl_info_t *ti = lv->map[i];
401                                 DBG((lv->dbg, LEVEL_2, "\tlooking from %d: seeing %B\n", ti->id, ti->red_reachable));
402                                 if (bitset_intersect(ti->red_reachable, uses)) {
403                                         res = lv_chk_state_in;
404                                         goto end;
405                                 }
406
407                                 bitset_andnot(tmp, ti->red_reachable);
408                         }
409                 }
410         }
411
412 end:
413         return res;
414 }
415
416 unsigned lv_chk_bl_end_mask(const lv_chk_t *lv, const ir_node *bl, const ir_node *var)
417 {
418         ir_node *def_bl;
419         const ir_edge_t *edge;
420
421         stat_ev_cnt_decl(uses);
422
423         int res = 0;
424
425         assert(is_Block(bl) && "can only check for liveness in a block");
426
427         if (!is_liveness_node(var))
428                 return 0;
429
430         def_bl = get_nodes_block(var);
431         if (!block_dominates(def_bl, bl)) {
432                 goto end;
433         } else {
434                 bitset_t *uses = bitset_alloca(lv->n_blocks);
435                 bitset_t *tmp  = bitset_alloca(lv->n_blocks);
436                 int min_dom    = get_Block_dom_tree_pre_num(def_bl) + 1;
437                 int max_dom    = get_Block_dom_max_subtree_pre_num(def_bl);
438                 bl_info_t *bli = get_block_info(lv, bl);
439                 int i;
440
441                 DBG((lv->dbg, LEVEL_2, "lv end check of %+F, def=%+F,%d != q=%+F,%d\n",
442                                         var, def_bl, min_dom - 1, bl, bli->id));
443
444                 foreach_out_edge (var, edge) {
445                         ir_node *user = get_edge_src_irn(edge);
446                         ir_node *use_bl;
447                         bl_info_t *bi;
448
449                         if (!is_liveness_node(user))
450                                 continue;
451
452                         stat_ev_cnt_inc(uses);
453                         use_bl = get_nodes_block(user);
454                         if (is_Phi(user)) {
455                                 int pos = get_edge_src_pos(edge);
456                                 use_bl  = get_Block_cfgpred_block(use_bl, pos);
457
458                                 if (bl == use_bl)
459                                         res |= lv_chk_state_end;
460                         }
461
462                         bi = get_block_info(lv, use_bl);
463                         if (use_bl != bl || bitset_is_set(lv->back_edge_tgt, bi->id))
464                                 bitset_set(uses, bi->id);
465                 }
466
467                 DBG((lv->dbg, LEVEL_2, "\tuses: %B\n", uses));
468
469                 bitset_copy(tmp, bli->be_tgt_reach);
470                 bitset_set(tmp, bli->id);
471
472                 DBG((lv->dbg, LEVEL_2, "\tbe tgt reach + current: %B, dom span: [%d, %d]\n", tmp, min_dom, max_dom));
473                 for (i = bitset_next_set(tmp, min_dom); i >= 0 && i <= max_dom; i = bitset_next_set(tmp, i + 1)) {
474                         bl_info_t *ti = lv->map[i];
475                         DBG((lv->dbg, LEVEL_2, "\tlooking from %d: seeing %B\n", ti->id, ti->red_reachable));
476                         if (bitset_intersect(ti->red_reachable, uses)) {
477                                 res = lv_chk_state_out | lv_chk_state_end;
478                                 goto end;
479                         }
480
481                         bitset_andnot(tmp, ti->red_reachable);
482                 }
483         }
484
485 end:
486         return res;
487 }
488 #endif
489
490 /**
491  * Check a nodes liveness situation of a block.
492  * This routine considers both cases, the live in and end/out case.
493  *
494  * @param lv   The liveness check environment.
495  * @param bl   The block under investigation.
496  * @param var  The node to check for.
497  * @return     A bitmask of lv_chk_state_XXX fields.
498  */
499 unsigned lv_chk_bl_xxx(const lv_chk_t *lv, const ir_node *bl, const ir_node *var)
500 {
501         int res  = 0;
502         ir_node *def_bl;
503         stat_ev_cnt_decl(uses);
504         stat_ev_cnt_decl(iter);
505
506         assert(is_Block(bl) && "can only check for liveness in a block");
507
508         /* If the variable ist no liveness related var, bail out. */
509         if (!is_liveness_node(var))
510                 return 0;
511
512         stat_ev_ctx_push_fmt("lv_chk", "%u", get_irn_idx(var));
513         stat_ev_tim_push();
514
515         /* If there is no dominance relation, go out, too */
516         def_bl = get_nodes_block(var);
517         if (!block_dominates(def_bl, bl)) {
518                 stat_ev("lv_chk_no_dom");
519                 goto end;
520         }
521
522         /*
523          * If the block in question is the same as the definition block,
524          * the algorithm is simple. Just check for uses not inside this block.
525          */
526         if (def_bl == bl) {
527                 const ir_edge_t *edge;
528
529                 stat_ev("lv_chk_def_block");
530                 DBG((lv->dbg, LEVEL_2, "lv check same block %+F in %+F\n", var, bl));
531                 foreach_out_edge (var, edge) {
532                         ir_node *use    = get_edge_src_irn(edge);
533                         ir_node *use_bl;
534
535                         if (!is_liveness_node(use))
536                                 continue;
537
538                         stat_ev_cnt_inc(uses);
539                         use_bl = get_nodes_block(use);
540                         if (is_Phi(use)) {
541                                 int pos = get_edge_src_pos(edge);
542                                 use_bl  = get_Block_cfgpred_block(use_bl, pos);
543
544                                 if (use_bl == bl) {
545                                         DBG((lv->dbg, LEVEL_2, "\tphi %+F in succ %+F,%d -> live end\n", use, use_bl, pos));
546                                         res |= lv_chk_state_end;
547                                 }
548                         }
549
550                         if (use_bl != def_bl) {
551                                 res = lv_chk_state_end | lv_chk_state_out;
552                                 goto end;
553                         }
554                 }
555
556                 goto end;
557         }
558
559         /*
560          * this is the more complicated case.
561          * We try to gather as much information as possible during looking
562          * at the uses.
563          *
564          * Note that we know for sure that bl != def_bl. That is sometimes
565          * silently exploited below.
566          */
567         else {
568                 bl_info_t *def = get_block_info(lv, def_bl);
569                 bl_info_t *bli = get_block_info(lv, bl);
570                 bitset_t *uses = bitset_alloca(lv->n_blocks);
571                 bitset_t *Tq;
572
573                 unsigned i, min_dom, max_dom;
574                 const ir_edge_t *edge;
575
576                 /* if the block has no DFS info, it cannot be reached.
577                  * This can happen in functions with endless loops.
578                  * we then go out, since nothing is live there.
579                  *
580                  * TODO: Is that right?
581                  */
582                 if (!bli)
583                         goto end;
584
585                 (void) def;
586                 DBG((lv->dbg, LEVEL_2, "lv check %+F (def in %+F #%d) in different block %+F #%d\n",
587                                         var, def_bl, def->id, bl, bli->id));
588
589                 foreach_out_edge (var, edge) {
590                         ir_node *user = get_edge_src_irn(edge);
591                         int mask      = lv_chk_state_in;
592
593                         ir_node *use_bl;
594                         bl_info_t *bi;
595
596                         /* if the user is no liveness node, the use does not count */
597                         if (!is_liveness_node(user))
598                                 continue;
599
600                         stat_ev_cnt_inc(uses);
601
602                         /* if the user is a phi, the use is in the predecessor
603                          * furthermore, prepare a mask so that in the case where
604                          * bl (the block in question) coincides with a use, it
605                          * can be marked live_end there. */
606                         use_bl = get_nodes_block(user);
607                         if (is_Phi(user)) {
608                                 int pos = get_edge_src_pos(edge);
609                                 use_bl  = get_Block_cfgpred_block(use_bl, pos);
610                                 mask   |= lv_chk_state_end;
611                         }
612
613
614                         /* if the use block coincides with the query block, we
615                          * already gather a little liveness information.
616                          * The variable is surely live there, since bl != def_bl
617                          * (that case is treated above). */
618                         if (use_bl == bl)
619                                 res |= mask;
620
621                         bi = get_block_info(lv, use_bl);
622
623                         if (bi)
624                                 bitset_set(uses, bi->id);
625                 }
626
627                 /* get the dominance range which really matters. all uses outside
628                  * the definition's dominance range are not to consider. note,
629                  * that the definition itself is also not considered. The case
630                  * where bl == def_bl is considered above. */
631                 min_dom = get_Block_dom_tree_pre_num(def_bl) + 1;
632                 max_dom = get_Block_dom_max_subtree_pre_num(def_bl);
633
634                 DBG((lv->dbg, LEVEL_2, "\tuses: %B\n", uses));
635
636                 /* prepare a set with all reachable back edge targets.
637                  * this will determine our "looking points" from where
638                  * we will search/find the calculated uses. */
639                 Tq = bli->be_tgt_reach;
640
641                 /* now, visit all viewing points in the temporary bitset lying
642                  * in the dominance range of the variable. Note that for reducible
643                  * flow-graphs the first iteration is sufficient and the loop
644                  * will be left. */
645                 DBG((lv->dbg, LEVEL_2, "\tbe tgt reach: %B, dom span: [%d, %d]\n", Tq, min_dom, max_dom));
646                 i = bitset_next_set(Tq, min_dom);
647                 while (i <= max_dom) {
648                         bl_info_t *ti = lv->map[i];
649                         int use_in_current_block = bitset_is_set(uses, ti->id);
650
651                         stat_ev_cnt_inc(iter);
652
653                         /*
654                          * This is somewhat tricky. Since this routine handles both, live in
655                          * and end/out we have to handle all the border cases correctly.
656                          * Each node is in its own red_reachable set (see calculation
657                          * function above). That means, that in the case where bl == t, the
658                          * intersection check of uses and reachability below will always
659                          * find an intersection, namely t.
660                          *
661                          * However, if a block contains a use and the variable is dead
662                          * afterwards, it is not live end/out at that block. Besides
663                          * back-edge target. If a var is live-in at a back-edge target it
664                          * is also live out/end there since the variable is live in the
665                          * underlying loop. So in the case where t == bl and that is not
666                          * a back-edge target, we have to remove that use from consideration
667                          * to determine if the var is live out/end there.
668                          *
669                          * Note that the live in information has been calculated by the
670                          * uses iteration above.
671                          */
672                         if (ti == bli && !bitset_is_set(lv->back_edge_tgt, ti->id)) {
673                                 DBG((lv->dbg, LEVEL_2, "\tlooking not from a back edge target and q == t. removing use: %d\n", ti->id));
674                                 bitset_clear(uses, ti->id);
675                         }
676
677                         /* If we can reach a use, the variable is live there and we say goodbye */
678                         DBG((lv->dbg, LEVEL_2, "\tlooking from %d: seeing %B\n", ti->id, ti->red_reachable));
679                         if (bitset_intersect(ti->red_reachable, uses)) {
680                                 res |= lv_chk_state_in | lv_chk_state_out | lv_chk_state_end;
681                                 goto end;
682                         }
683
684                         /*
685                          * if we deleted a use do to the commentary above, we have to
686                          * re-add it since it might be visible from further view points
687                          * (we only need that in the non-reducible case).
688                          */
689                         if (use_in_current_block)
690                                 bitset_set(uses, ti->id);
691
692                         i = bitset_next_set(Tq, get_Block_dom_max_subtree_pre_num(ti->block) + 1);
693                 }
694
695         }
696
697 end:
698         stat_ev_tim_pop("lv_chk_query_time");
699         stat_ev_cnt_done(uses, "lv_chk_uses");
700         stat_ev_cnt_done(iter, "lv_chk_iter");
701         stat_ev_ctx_pop("lv_chk");
702
703         return res;
704 }