loop_analysis.cpp revision b8e80941
1/*
2 * Copyright © 2010 Intel Corporation
3 *
4 * Permission is hereby granted, free of charge, to any person obtaining a
5 * copy of this software and associated documentation files (the "Software"),
6 * to deal in the Software without restriction, including without limitation
7 * the rights to use, copy, modify, merge, publish, distribute, sublicense,
8 * and/or sell copies of the Software, and to permit persons to whom the
9 * Software is furnished to do so, subject to the following conditions:
10 *
11 * The above copyright notice and this permission notice (including the next
12 * paragraph) shall be included in all copies or substantial portions of the
13 * Software.
14 *
15 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
16 * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
17 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.  IN NO EVENT SHALL
18 * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
19 * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
20 * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
21 * DEALINGS IN THE SOFTWARE.
22 */
23
24#include "compiler/glsl_types.h"
25#include "loop_analysis.h"
26#include "ir_hierarchical_visitor.h"
27
28static void try_add_loop_terminator(loop_variable_state *ls, ir_if *ir);
29
30static bool all_expression_operands_are_loop_constant(ir_rvalue *,
31						      hash_table *);
32
33static ir_rvalue *get_basic_induction_increment(ir_assignment *, hash_table *);
34
35/**
36 * Find an initializer of a variable outside a loop
37 *
38 * Works backwards from the loop to find the pre-loop value of the variable.
39 * This is used, for example, to find the initial value of loop induction
40 * variables.
41 *
42 * \param loop  Loop where \c var is an induction variable
43 * \param var   Variable whose initializer is to be found
44 *
45 * \return
46 * The \c ir_rvalue assigned to the variable outside the loop.  May return
47 * \c NULL if no initializer can be found.
48 */
49static ir_rvalue *
50find_initial_value(ir_loop *loop, ir_variable *var)
51{
52   for (exec_node *node = loop->prev; !node->is_head_sentinel();
53        node = node->prev) {
54      ir_instruction *ir = (ir_instruction *) node;
55
56      switch (ir->ir_type) {
57      case ir_type_call:
58      case ir_type_loop:
59      case ir_type_loop_jump:
60      case ir_type_return:
61      case ir_type_if:
62         return NULL;
63
64      case ir_type_function:
65      case ir_type_function_signature:
66         assert(!"Should not get here.");
67         return NULL;
68
69      case ir_type_assignment: {
70         ir_assignment *assign = ir->as_assignment();
71         ir_variable *assignee = assign->lhs->whole_variable_referenced();
72
73         if (assignee == var)
74            return (assign->condition != NULL) ? NULL : assign->rhs;
75
76         break;
77      }
78
79      default:
80         break;
81      }
82   }
83
84   return NULL;
85}
86
87
88static int
89calculate_iterations(ir_rvalue *from, ir_rvalue *to, ir_rvalue *increment,
90                     enum ir_expression_operation op, bool continue_from_then,
91                     bool swap_compare_operands)
92{
93   if (from == NULL || to == NULL || increment == NULL)
94      return -1;
95
96   void *mem_ctx = ralloc_context(NULL);
97
98   ir_expression *const sub =
99      new(mem_ctx) ir_expression(ir_binop_sub, from->type, to, from);
100
101   ir_expression *const div =
102      new(mem_ctx) ir_expression(ir_binop_div, sub->type, sub, increment);
103
104   ir_constant *iter = div->constant_expression_value(mem_ctx);
105   if (iter == NULL) {
106      ralloc_free(mem_ctx);
107      return -1;
108   }
109
110   if (!iter->type->is_integer()) {
111      const ir_expression_operation op = iter->type->is_double()
112         ? ir_unop_d2i : ir_unop_f2i;
113      ir_rvalue *cast =
114         new(mem_ctx) ir_expression(op, glsl_type::int_type, iter, NULL);
115
116      iter = cast->constant_expression_value(mem_ctx);
117   }
118
119   int iter_value = iter->get_int_component(0);
120
121   /* Make sure that the calculated number of iterations satisfies the exit
122    * condition.  This is needed to catch off-by-one errors and some types of
123    * ill-formed loops.  For example, we need to detect that the following
124    * loop does not have a maximum iteration count.
125    *
126    *    for (float x = 0.0; x != 0.9; x += 0.2)
127    *        ;
128    */
129   const int bias[] = { -1, 0, 1 };
130   bool valid_loop = false;
131
132   for (unsigned i = 0; i < ARRAY_SIZE(bias); i++) {
133      /* Increment may be of type int, uint or float. */
134      switch (increment->type->base_type) {
135      case GLSL_TYPE_INT:
136         iter = new(mem_ctx) ir_constant(iter_value + bias[i]);
137         break;
138      case GLSL_TYPE_UINT:
139         iter = new(mem_ctx) ir_constant(unsigned(iter_value + bias[i]));
140         break;
141      case GLSL_TYPE_FLOAT:
142         iter = new(mem_ctx) ir_constant(float(iter_value + bias[i]));
143         break;
144      case GLSL_TYPE_DOUBLE:
145         iter = new(mem_ctx) ir_constant(double(iter_value + bias[i]));
146         break;
147      default:
148          unreachable("Unsupported type for loop iterator.");
149      }
150
151      ir_expression *const mul =
152         new(mem_ctx) ir_expression(ir_binop_mul, increment->type, iter,
153                                    increment);
154
155      ir_expression *const add =
156         new(mem_ctx) ir_expression(ir_binop_add, mul->type, mul, from);
157
158      ir_expression *cmp = swap_compare_operands
159         ? new(mem_ctx) ir_expression(op, glsl_type::bool_type, to, add)
160         : new(mem_ctx) ir_expression(op, glsl_type::bool_type, add, to);
161      if (continue_from_then)
162         cmp = new(mem_ctx) ir_expression(ir_unop_logic_not, cmp);
163
164      ir_constant *const cmp_result = cmp->constant_expression_value(mem_ctx);
165
166      assert(cmp_result != NULL);
167      if (cmp_result->get_bool_component(0)) {
168         iter_value += bias[i];
169         valid_loop = true;
170         break;
171      }
172   }
173
174   ralloc_free(mem_ctx);
175   return (valid_loop) ? iter_value : -1;
176}
177
178static bool
179incremented_before_terminator(ir_loop *loop, ir_variable *var,
180                              ir_if *terminator)
181{
182   for (exec_node *node = loop->body_instructions.get_head();
183        !node->is_tail_sentinel();
184        node = node->get_next()) {
185      ir_instruction *ir = (ir_instruction *) node;
186
187      switch (ir->ir_type) {
188      case ir_type_if:
189         if (ir->as_if() == terminator)
190            return false;
191         break;
192
193      case ir_type_assignment: {
194         ir_assignment *assign = ir->as_assignment();
195         ir_variable *assignee = assign->lhs->whole_variable_referenced();
196
197         if (assignee == var) {
198            assert(assign->condition == NULL);
199            return true;
200         }
201
202         break;
203      }
204
205      default:
206         break;
207      }
208   }
209
210   unreachable("Unable to find induction variable");
211}
212
213/**
214 * Record the fact that the given loop variable was referenced inside the loop.
215 *
216 * \arg in_assignee is true if the reference was on the LHS of an assignment.
217 *
218 * \arg in_conditional_code_or_nested_loop is true if the reference occurred
219 * inside an if statement or a nested loop.
220 *
221 * \arg current_assignment is the ir_assignment node that the loop variable is
222 * on the LHS of, if any (ignored if \c in_assignee is false).
223 */
224void
225loop_variable::record_reference(bool in_assignee,
226                                bool in_conditional_code_or_nested_loop,
227                                ir_assignment *current_assignment)
228{
229   if (in_assignee) {
230      assert(current_assignment != NULL);
231
232      if (in_conditional_code_or_nested_loop ||
233          current_assignment->condition != NULL) {
234         this->conditional_or_nested_assignment = true;
235      }
236
237      if (this->first_assignment == NULL) {
238         assert(this->num_assignments == 0);
239
240         this->first_assignment = current_assignment;
241      }
242
243      this->num_assignments++;
244   } else if (this->first_assignment == current_assignment) {
245      /* This catches the case where the variable is used in the RHS of an
246       * assignment where it is also in the LHS.
247       */
248      this->read_before_write = true;
249   }
250}
251
252
253loop_state::loop_state()
254{
255   this->ht = _mesa_pointer_hash_table_create(NULL);
256   this->mem_ctx = ralloc_context(NULL);
257   this->loop_found = false;
258}
259
260
261loop_state::~loop_state()
262{
263   _mesa_hash_table_destroy(this->ht, NULL);
264   ralloc_free(this->mem_ctx);
265}
266
267
268loop_variable_state *
269loop_state::insert(ir_loop *ir)
270{
271   loop_variable_state *ls = new(this->mem_ctx) loop_variable_state;
272
273   _mesa_hash_table_insert(this->ht, ir, ls);
274   this->loop_found = true;
275
276   return ls;
277}
278
279
280loop_variable_state *
281loop_state::get(const ir_loop *ir)
282{
283   hash_entry *entry = _mesa_hash_table_search(this->ht, ir);
284   return entry ? (loop_variable_state *) entry->data : NULL;
285}
286
287
288loop_variable *
289loop_variable_state::get(const ir_variable *ir)
290{
291   hash_entry *entry = _mesa_hash_table_search(this->var_hash, ir);
292   return entry ? (loop_variable *) entry->data : NULL;
293}
294
295
296loop_variable *
297loop_variable_state::insert(ir_variable *var)
298{
299   void *mem_ctx = ralloc_parent(this);
300   loop_variable *lv = rzalloc(mem_ctx, loop_variable);
301
302   lv->var = var;
303
304   _mesa_hash_table_insert(this->var_hash, lv->var, lv);
305   this->variables.push_tail(lv);
306
307   return lv;
308}
309
310
311loop_terminator *
312loop_variable_state::insert(ir_if *if_stmt, bool continue_from_then)
313{
314   void *mem_ctx = ralloc_parent(this);
315   loop_terminator *t = new(mem_ctx) loop_terminator();
316
317   t->ir = if_stmt;
318   t->continue_from_then = continue_from_then;
319
320   this->terminators.push_tail(t);
321
322   return t;
323}
324
325
326/**
327 * If the given variable already is recorded in the state for this loop,
328 * return the corresponding loop_variable object that records information
329 * about it.
330 *
331 * Otherwise, create a new loop_variable object to record information about
332 * the variable, and set its \c read_before_write field appropriately based on
333 * \c in_assignee.
334 *
335 * \arg in_assignee is true if this variable was encountered on the LHS of an
336 * assignment.
337 */
338loop_variable *
339loop_variable_state::get_or_insert(ir_variable *var, bool in_assignee)
340{
341   loop_variable *lv = this->get(var);
342
343   if (lv == NULL) {
344      lv = this->insert(var);
345      lv->read_before_write = !in_assignee;
346   }
347
348   return lv;
349}
350
351
352namespace {
353
354class loop_analysis : public ir_hierarchical_visitor {
355public:
356   loop_analysis(loop_state *loops);
357
358   virtual ir_visitor_status visit(ir_loop_jump *);
359   virtual ir_visitor_status visit(ir_dereference_variable *);
360
361   virtual ir_visitor_status visit_enter(ir_call *);
362
363   virtual ir_visitor_status visit_enter(ir_loop *);
364   virtual ir_visitor_status visit_leave(ir_loop *);
365   virtual ir_visitor_status visit_enter(ir_assignment *);
366   virtual ir_visitor_status visit_leave(ir_assignment *);
367   virtual ir_visitor_status visit_enter(ir_if *);
368   virtual ir_visitor_status visit_leave(ir_if *);
369
370   loop_state *loops;
371
372   int if_statement_depth;
373
374   ir_assignment *current_assignment;
375
376   exec_list state;
377};
378
379} /* anonymous namespace */
380
381loop_analysis::loop_analysis(loop_state *loops)
382   : loops(loops), if_statement_depth(0), current_assignment(NULL)
383{
384   /* empty */
385}
386
387
388ir_visitor_status
389loop_analysis::visit(ir_loop_jump *ir)
390{
391   (void) ir;
392
393   assert(!this->state.is_empty());
394
395   loop_variable_state *const ls =
396      (loop_variable_state *) this->state.get_head();
397
398   ls->num_loop_jumps++;
399
400   return visit_continue;
401}
402
403
404ir_visitor_status
405loop_analysis::visit_enter(ir_call *)
406{
407   /* Mark every loop that we're currently analyzing as containing an ir_call
408    * (even those at outer nesting levels).
409    */
410   foreach_in_list(loop_variable_state, ls, &this->state) {
411      ls->contains_calls = true;
412   }
413
414   return visit_continue_with_parent;
415}
416
417
418ir_visitor_status
419loop_analysis::visit(ir_dereference_variable *ir)
420{
421   /* If we're not somewhere inside a loop, there's nothing to do.
422    */
423   if (this->state.is_empty())
424      return visit_continue;
425
426   bool nested = false;
427
428   foreach_in_list(loop_variable_state, ls, &this->state) {
429      ir_variable *var = ir->variable_referenced();
430      loop_variable *lv = ls->get_or_insert(var, this->in_assignee);
431
432      lv->record_reference(this->in_assignee,
433                           nested || this->if_statement_depth > 0,
434                           this->current_assignment);
435      nested = true;
436   }
437
438   return visit_continue;
439}
440
441ir_visitor_status
442loop_analysis::visit_enter(ir_loop *ir)
443{
444   loop_variable_state *ls = this->loops->insert(ir);
445   this->state.push_head(ls);
446
447   return visit_continue;
448}
449
450ir_visitor_status
451loop_analysis::visit_leave(ir_loop *ir)
452{
453   loop_variable_state *const ls =
454      (loop_variable_state *) this->state.pop_head();
455
456   /* Function calls may contain side effects.  These could alter any of our
457    * variables in ways that cannot be known, and may even terminate shader
458    * execution (say, calling discard in the fragment shader).  So we can't
459    * rely on any of our analysis about assignments to variables.
460    *
461    * We could perform some conservative analysis (prove there's no statically
462    * possible assignment, etc.) but it isn't worth it for now; function
463    * inlining will allow us to unroll loops anyway.
464    */
465   if (ls->contains_calls)
466      return visit_continue;
467
468   foreach_in_list(ir_instruction, node, &ir->body_instructions) {
469      /* Skip over declarations at the start of a loop.
470       */
471      if (node->as_variable())
472	 continue;
473
474      ir_if *if_stmt = ((ir_instruction *) node)->as_if();
475
476      if (if_stmt != NULL)
477         try_add_loop_terminator(ls, if_stmt);
478   }
479
480
481   foreach_in_list_safe(loop_variable, lv, &ls->variables) {
482      /* Move variables that are already marked as being loop constant to
483       * a separate list.  These trivially don't need to be tested.
484       */
485      if (lv->is_loop_constant()) {
486	 lv->remove();
487	 ls->constants.push_tail(lv);
488      }
489   }
490
491   /* Each variable assigned in the loop that isn't already marked as being loop
492    * constant might still be loop constant.  The requirements at this point
493    * are:
494    *
495    *    - Variable is written before it is read.
496    *
497    *    - Only one assignment to the variable.
498    *
499    *    - All operands on the RHS of the assignment are also loop constants.
500    *
501    * The last requirement is the reason for the progress loop.  A variable
502    * marked as a loop constant on one pass may allow other variables to be
503    * marked as loop constant on following passes.
504    */
505   bool progress;
506   do {
507      progress = false;
508
509      foreach_in_list_safe(loop_variable, lv, &ls->variables) {
510	 if (lv->conditional_or_nested_assignment || (lv->num_assignments > 1))
511	    continue;
512
513	 /* Process the RHS of the assignment.  If all of the variables
514	  * accessed there are loop constants, then add this
515	  */
516	 ir_rvalue *const rhs = lv->first_assignment->rhs;
517	 if (all_expression_operands_are_loop_constant(rhs, ls->var_hash)) {
518	    lv->rhs_clean = true;
519
520	    if (lv->is_loop_constant()) {
521	       progress = true;
522
523	       lv->remove();
524	       ls->constants.push_tail(lv);
525	    }
526	 }
527      }
528   } while (progress);
529
530   /* The remaining variables that are not loop invariant might be loop
531    * induction variables.
532    */
533   foreach_in_list_safe(loop_variable, lv, &ls->variables) {
534      /* If there is more than one assignment to a variable, it cannot be a
535       * loop induction variable.  This isn't strictly true, but this is a
536       * very simple induction variable detector, and it can't handle more
537       * complex cases.
538       */
539      if (lv->num_assignments > 1)
540	 continue;
541
542      /* All of the variables with zero assignments in the loop are loop
543       * invariant, and they should have already been filtered out.
544       */
545      assert(lv->num_assignments == 1);
546      assert(lv->first_assignment != NULL);
547
548      /* The assignment to the variable in the loop must be unconditional and
549       * not inside a nested loop.
550       */
551      if (lv->conditional_or_nested_assignment)
552	 continue;
553
554      /* Basic loop induction variables have a single assignment in the loop
555       * that has the form 'VAR = VAR + i' or 'VAR = VAR - i' where i is a
556       * loop invariant.
557       */
558      ir_rvalue *const inc =
559	 get_basic_induction_increment(lv->first_assignment, ls->var_hash);
560      if (inc != NULL) {
561	 lv->increment = inc;
562
563	 lv->remove();
564	 ls->induction_variables.push_tail(lv);
565      }
566   }
567
568   /* Search the loop terminating conditions for those of the form 'i < c'
569    * where i is a loop induction variable, c is a constant, and < is any
570    * relative operator.  From each of these we can infer an iteration count.
571    * Also figure out which terminator (if any) produces the smallest
572    * iteration count--this is the limiting terminator.
573    */
574   foreach_in_list(loop_terminator, t, &ls->terminators) {
575      ir_if *if_stmt = t->ir;
576
577      /* If-statements can be either 'if (expr)' or 'if (deref)'.  We only care
578       * about the former here.
579       */
580      ir_expression *cond = if_stmt->condition->as_expression();
581      if (cond == NULL)
582	 continue;
583
584      switch (cond->operation) {
585      case ir_binop_less:
586      case ir_binop_gequal: {
587	 /* The expressions that we care about will either be of the form
588	  * 'counter < limit' or 'limit < counter'.  Figure out which is
589	  * which.
590	  */
591	 ir_rvalue *counter = cond->operands[0]->as_dereference_variable();
592	 ir_constant *limit = cond->operands[1]->as_constant();
593	 enum ir_expression_operation cmp = cond->operation;
594         bool swap_compare_operands = false;
595
596	 if (limit == NULL) {
597	    counter = cond->operands[1]->as_dereference_variable();
598	    limit = cond->operands[0]->as_constant();
599            swap_compare_operands = true;
600	 }
601
602	 if ((counter == NULL) || (limit == NULL))
603	    break;
604
605	 ir_variable *var = counter->variable_referenced();
606
607	 ir_rvalue *init = find_initial_value(ir, var);
608
609         loop_variable *lv = ls->get(var);
610         if (lv != NULL && lv->is_induction_var()) {
611            t->iterations = calculate_iterations(init, limit, lv->increment,
612                                                 cmp, t->continue_from_then,
613                                                 swap_compare_operands);
614
615            if (incremented_before_terminator(ir, var, t->ir)) {
616               t->iterations--;
617            }
618
619            if (t->iterations >= 0 &&
620                (ls->limiting_terminator == NULL ||
621                 t->iterations < ls->limiting_terminator->iterations)) {
622               ls->limiting_terminator = t;
623            }
624         }
625         break;
626      }
627
628      default:
629         break;
630      }
631   }
632
633   return visit_continue;
634}
635
636ir_visitor_status
637loop_analysis::visit_enter(ir_if *ir)
638{
639   (void) ir;
640
641   if (!this->state.is_empty())
642      this->if_statement_depth++;
643
644   return visit_continue;
645}
646
647ir_visitor_status
648loop_analysis::visit_leave(ir_if *ir)
649{
650   (void) ir;
651
652   if (!this->state.is_empty())
653      this->if_statement_depth--;
654
655   return visit_continue;
656}
657
658ir_visitor_status
659loop_analysis::visit_enter(ir_assignment *ir)
660{
661   /* If we're not somewhere inside a loop, there's nothing to do.
662    */
663   if (this->state.is_empty())
664      return visit_continue_with_parent;
665
666   this->current_assignment = ir;
667
668   return visit_continue;
669}
670
671ir_visitor_status
672loop_analysis::visit_leave(ir_assignment *ir)
673{
674   /* Since the visit_enter exits with visit_continue_with_parent for this
675    * case, the loop state stack should never be empty here.
676    */
677   assert(!this->state.is_empty());
678
679   assert(this->current_assignment == ir);
680   this->current_assignment = NULL;
681
682   return visit_continue;
683}
684
685
686class examine_rhs : public ir_hierarchical_visitor {
687public:
688   examine_rhs(hash_table *loop_variables)
689   {
690      this->only_uses_loop_constants = true;
691      this->loop_variables = loop_variables;
692   }
693
694   virtual ir_visitor_status visit(ir_dereference_variable *ir)
695   {
696      hash_entry *entry = _mesa_hash_table_search(this->loop_variables,
697                                                  ir->var);
698      loop_variable *lv = entry ? (loop_variable *) entry->data : NULL;
699
700      assert(lv != NULL);
701
702      if (lv->is_loop_constant()) {
703	 return visit_continue;
704      } else {
705	 this->only_uses_loop_constants = false;
706	 return visit_stop;
707      }
708   }
709
710   hash_table *loop_variables;
711   bool only_uses_loop_constants;
712};
713
714
715bool
716all_expression_operands_are_loop_constant(ir_rvalue *ir, hash_table *variables)
717{
718   examine_rhs v(variables);
719
720   ir->accept(&v);
721
722   return v.only_uses_loop_constants;
723}
724
725
726ir_rvalue *
727get_basic_induction_increment(ir_assignment *ir, hash_table *var_hash)
728{
729   /* The RHS must be a binary expression.
730    */
731   ir_expression *const rhs = ir->rhs->as_expression();
732   if ((rhs == NULL)
733       || ((rhs->operation != ir_binop_add)
734	   && (rhs->operation != ir_binop_sub)))
735      return NULL;
736
737   /* One of the of operands of the expression must be the variable assigned.
738    * If the operation is subtraction, the variable in question must be the
739    * "left" operand.
740    */
741   ir_variable *const var = ir->lhs->variable_referenced();
742
743   ir_variable *const op0 = rhs->operands[0]->variable_referenced();
744   ir_variable *const op1 = rhs->operands[1]->variable_referenced();
745
746   if (((op0 != var) && (op1 != var))
747       || ((op1 == var) && (rhs->operation == ir_binop_sub)))
748      return NULL;
749
750   ir_rvalue *inc = (op0 == var) ? rhs->operands[1] : rhs->operands[0];
751
752   if (inc->as_constant() == NULL) {
753      ir_variable *const inc_var = inc->variable_referenced();
754      if (inc_var != NULL) {
755         hash_entry *entry = _mesa_hash_table_search(var_hash, inc_var);
756         loop_variable *lv = entry ? (loop_variable *) entry->data : NULL;
757
758         if (lv == NULL || !lv->is_loop_constant()) {
759            assert(lv != NULL);
760            inc = NULL;
761         }
762      } else
763	 inc = NULL;
764   }
765
766   if ((inc != NULL) && (rhs->operation == ir_binop_sub)) {
767      void *mem_ctx = ralloc_parent(ir);
768
769      inc = new(mem_ctx) ir_expression(ir_unop_neg,
770				       inc->type,
771				       inc->clone(mem_ctx, NULL),
772				       NULL);
773   }
774
775   return inc;
776}
777
778
779/**
780 * Detect whether an if-statement is a loop terminating condition, if so
781 * add it to the list of loop terminators.
782 *
783 * Detects if-statements of the form
784 *
785 *  (if (expression bool ...) (...then_instrs...break))
786 *
787 *     or
788 *
789 *  (if (expression bool ...) ... (...else_instrs...break))
790 */
791void
792try_add_loop_terminator(loop_variable_state *ls, ir_if *ir)
793{
794   ir_instruction *inst = (ir_instruction *) ir->then_instructions.get_tail();
795   ir_instruction *else_inst =
796      (ir_instruction *) ir->else_instructions.get_tail();
797
798   if (is_break(inst) || is_break(else_inst))
799      ls->insert(ir, is_break(else_inst));
800}
801
802
803loop_state *
804analyze_loop_variables(exec_list *instructions)
805{
806   loop_state *loops = new loop_state;
807   loop_analysis v(loops);
808
809   v.run(instructions);
810   return v.loops;
811}
812