xref: /openbsd-src/lib/libpcap/optimize.c (revision fcde59b201a29a2b4570b00b71e7aa25d61cb5c1)
1 /*	$OpenBSD: optimize.c,v 1.21 2020/08/03 03:29:58 dlg Exp $	*/
2 
3 /*
4  * Copyright (c) 1988, 1989, 1990, 1991, 1993, 1994, 1995, 1996
5  *	The Regents of the University of California.  All rights reserved.
6  *
7  * Redistribution and use in source and binary forms, with or without
8  * modification, are permitted provided that: (1) source code distributions
9  * retain the above copyright notice and this paragraph in its entirety, (2)
10  * distributions including binary code include the above copyright notice and
11  * this paragraph in its entirety in the documentation or other materials
12  * provided with the distribution, and (3) all advertising materials mentioning
13  * features or use of this software display the following acknowledgement:
14  * ``This product includes software developed by the University of California,
15  * Lawrence Berkeley Laboratory and its contributors.'' Neither the name of
16  * the University nor the names of its contributors may be used to endorse
17  * or promote products derived from this software without specific prior
18  * written permission.
19  * THIS SOFTWARE IS PROVIDED ``AS IS'' AND WITHOUT ANY EXPRESS OR IMPLIED
20  * WARRANTIES, INCLUDING, WITHOUT LIMITATION, THE IMPLIED WARRANTIES OF
21  * MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
22  *
23  *  Optimization module for tcpdump intermediate representation.
24  */
25 
26 #include <sys/types.h>
27 #include <sys/time.h>
28 
29 #include <stdio.h>
30 #include <stdlib.h>
31 #include <stdint.h>
32 #include <string.h>
33 
34 #include "pcap-int.h"
35 
36 #include "gencode.h"
37 
38 #ifdef HAVE_OS_PROTO_H
39 #include "os-proto.h"
40 #endif
41 
42 #ifdef BDEBUG
43 extern int dflag;
44 #endif
45 
46 #define A_ATOM BPF_MEMWORDS
47 #define X_ATOM (BPF_MEMWORDS+1)
48 
49 #define NOP -1
50 
51 /*
52  * This define is used to represent *both* the accumulator and
53  * x register in use-def computations.
54  * Currently, the use-def code assumes only one definition per instruction.
55  */
56 #define AX_ATOM N_ATOMS
57 
58 /*
59  * A flag to indicate that further optimization is needed.
60  * Iterative passes are continued until a given pass yields no
61  * branch movement.
62  */
63 static int done;
64 
65 /*
66  * A block is marked if only if its mark equals the current mark.
67  * Rather than traverse the code array, marking each item, 'cur_mark' is
68  * incremented.  This automatically makes each element unmarked.
69  */
70 static int cur_mark;
71 #define isMarked(p) ((p)->mark == cur_mark)
72 #define unMarkAll() cur_mark += 1
73 #define Mark(p) ((p)->mark = cur_mark)
74 
75 static void opt_init(struct block *);
76 static void opt_cleanup(void);
77 
78 static void make_marks(struct block *);
79 static void mark_code(struct block *);
80 
81 static void intern_blocks(struct block *);
82 
83 static int eq_slist(struct slist *, struct slist *);
84 
85 static void find_levels_r(struct block *);
86 
87 static void find_levels(struct block *);
88 static void find_dom(struct block *);
89 static void propedom(struct edge *);
90 static void find_edom(struct block *);
91 static void find_closure(struct block *);
92 static int atomuse(struct stmt *);
93 static int atomdef(struct stmt *);
94 static void compute_local_ud(struct block *);
95 static void find_ud(struct block *);
96 static void init_val(void);
97 static int F(int, int, int);
98 static __inline void vstore(struct stmt *, int *, int, int);
99 static void opt_blk(struct block *, int);
100 static int use_conflict(struct block *, struct block *);
101 static void opt_j(struct edge *);
102 static void or_pullup(struct block *);
103 static void and_pullup(struct block *);
104 static void opt_blks(struct block *, int);
105 static __inline void link_inedge(struct edge *, struct block *);
106 static void find_inedges(struct block *);
107 static void opt_root(struct block **);
108 static void opt_loop(struct block *, int);
109 static void fold_op(struct stmt *, int, int);
110 static __inline struct slist *this_op(struct slist *);
111 static void opt_not(struct block *);
112 static void opt_peep(struct block *);
113 static void opt_stmt(struct stmt *, int[], int);
114 static void deadstmt(struct stmt *, struct stmt *[]);
115 static void opt_deadstores(struct block *);
116 static void opt_blk(struct block *, int);
117 static int use_conflict(struct block *, struct block *);
118 static void opt_j(struct edge *);
119 static struct block *fold_edge(struct block *, struct edge *);
120 static __inline int eq_blk(struct block *, struct block *);
121 static int slength(struct slist *);
122 static int count_blocks(struct block *);
123 static void number_blks_r(struct block *);
124 static int count_stmts(struct block *);
125 static int convert_code_r(struct block *);
126 #ifdef BDEBUG
127 static void opt_dump(struct block *);
128 #endif
129 
130 static int n_blocks;
131 struct block **blocks;
132 static int n_edges;
133 struct edge **edges;
134 
135 /*
136  * A bit vector set representation of the dominators.
137  * We round up the set size to the next power of two.
138  */
139 static int nodewords;
140 static int edgewords;
141 struct block **levels;
142 bpf_u_int32 *space1;
143 bpf_u_int32 *space2;
144 #define BITS_PER_WORD (8*sizeof(bpf_u_int32))
145 /*
146  * True if a is in uset {p}
147  */
148 #define SET_MEMBER(p, a) \
149 ((p)[(unsigned)(a) / BITS_PER_WORD] & (1 << ((unsigned)(a) % BITS_PER_WORD)))
150 
151 /*
152  * Add 'a' to uset p.
153  */
154 #define SET_INSERT(p, a) \
155 (p)[(unsigned)(a) / BITS_PER_WORD] |= (1 << ((unsigned)(a) % BITS_PER_WORD))
156 
157 /*
158  * Delete 'a' from uset p.
159  */
160 #define SET_DELETE(p, a) \
161 (p)[(unsigned)(a) / BITS_PER_WORD] &= ~(1 << ((unsigned)(a) % BITS_PER_WORD))
162 
163 /*
164  * a := a intersect b
165  */
166 #define SET_INTERSECT(a, b, n)\
167 {\
168 	bpf_u_int32 *_x = a, *_y = b;\
169 	int _n = n;\
170 	while (--_n >= 0) *_x++ &= *_y++;\
171 }
172 
173 /*
174  * a := a - b
175  */
176 #define SET_SUBTRACT(a, b, n)\
177 {\
178 	bpf_u_int32 *_x = a, *_y = b;\
179 	int _n = n;\
180 	while (--_n >= 0) *_x++ &=~ *_y++;\
181 }
182 
183 /*
184  * a := a union b
185  */
186 #define SET_UNION(a, b, n)\
187 {\
188 	bpf_u_int32 *_x = a, *_y = b;\
189 	int _n = n;\
190 	while (--_n >= 0) *_x++ |= *_y++;\
191 }
192 
193 static uset all_dom_sets;
194 static uset all_closure_sets;
195 static uset all_edge_sets;
196 
197 #ifndef MAX
198 #define MAX(a,b) ((a)>(b)?(a):(b))
199 #endif
200 
201 static void
202 find_levels_r(b)
203 	struct block *b;
204 {
205 	int level;
206 
207 	if (isMarked(b))
208 		return;
209 
210 	Mark(b);
211 	b->link = 0;
212 
213 	if (JT(b)) {
214 		find_levels_r(JT(b));
215 		find_levels_r(JF(b));
216 		level = MAX(JT(b)->level, JF(b)->level) + 1;
217 	} else
218 		level = 0;
219 	b->level = level;
220 	b->link = levels[level];
221 	levels[level] = b;
222 }
223 
224 /*
225  * Level graph.  The levels go from 0 at the leaves to
226  * N_LEVELS at the root.  The levels[] array points to the
227  * first node of the level list, whose elements are linked
228  * with the 'link' field of the struct block.
229  */
230 static void
231 find_levels(root)
232 	struct block *root;
233 {
234 	memset((char *)levels, 0, n_blocks * sizeof(*levels));
235 	unMarkAll();
236 	find_levels_r(root);
237 }
238 
239 /*
240  * Find dominator relationships.
241  * Assumes graph has been leveled.
242  */
243 static void
244 find_dom(root)
245 	struct block *root;
246 {
247 	int i;
248 	struct block *b;
249 	bpf_u_int32 *x;
250 
251 	/*
252 	 * Initialize sets to contain all nodes.
253 	 */
254 	x = all_dom_sets;
255 	i = n_blocks * nodewords;
256 	while (--i >= 0)
257 		*x++ = ~0;
258 	/* Root starts off empty. */
259 	for (i = nodewords; --i >= 0;)
260 		root->dom[i] = 0;
261 
262 	/* root->level is the highest level no found. */
263 	for (i = root->level; i >= 0; --i) {
264 		for (b = levels[i]; b; b = b->link) {
265 			SET_INSERT(b->dom, b->id);
266 			if (JT(b) == 0)
267 				continue;
268 			SET_INTERSECT(JT(b)->dom, b->dom, nodewords);
269 			SET_INTERSECT(JF(b)->dom, b->dom, nodewords);
270 		}
271 	}
272 }
273 
274 static void
275 propedom(ep)
276 	struct edge *ep;
277 {
278 	SET_INSERT(ep->edom, ep->id);
279 	if (ep->succ) {
280 		SET_INTERSECT(ep->succ->et.edom, ep->edom, edgewords);
281 		SET_INTERSECT(ep->succ->ef.edom, ep->edom, edgewords);
282 	}
283 }
284 
285 /*
286  * Compute edge dominators.
287  * Assumes graph has been leveled and predecessors established.
288  */
289 static void
290 find_edom(root)
291 	struct block *root;
292 {
293 	int i;
294 	uset x;
295 	struct block *b;
296 
297 	x = all_edge_sets;
298 	for (i = n_edges * edgewords; --i >= 0; )
299 		x[i] = ~0;
300 
301 	/* root->level is the highest level no found. */
302 	memset(root->et.edom, 0, edgewords * sizeof(*(uset)0));
303 	memset(root->ef.edom, 0, edgewords * sizeof(*(uset)0));
304 	for (i = root->level; i >= 0; --i) {
305 		for (b = levels[i]; b != 0; b = b->link) {
306 			propedom(&b->et);
307 			propedom(&b->ef);
308 		}
309 	}
310 }
311 
312 /*
313  * Find the backwards transitive closure of the flow graph.  These sets
314  * are backwards in the sense that we find the set of nodes that reach
315  * a given node, not the set of nodes that can be reached by a node.
316  *
317  * Assumes graph has been leveled.
318  */
319 static void
320 find_closure(root)
321 	struct block *root;
322 {
323 	int i;
324 	struct block *b;
325 
326 	/*
327 	 * Initialize sets to contain no nodes.
328 	 */
329 	memset((char *)all_closure_sets, 0,
330 	      n_blocks * nodewords * sizeof(*all_closure_sets));
331 
332 	/* root->level is the highest level no found. */
333 	for (i = root->level; i >= 0; --i) {
334 		for (b = levels[i]; b; b = b->link) {
335 			SET_INSERT(b->closure, b->id);
336 			if (JT(b) == 0)
337 				continue;
338 			SET_UNION(JT(b)->closure, b->closure, nodewords);
339 			SET_UNION(JF(b)->closure, b->closure, nodewords);
340 		}
341 	}
342 }
343 
344 /*
345  * Return the register number that is used by s.  If A and X are both
346  * used, return AX_ATOM.  If no register is used, return -1.
347  *
348  * The implementation should probably change to an array access.
349  */
350 static int
351 atomuse(s)
352 	struct stmt *s;
353 {
354 	int c = s->code;
355 
356 	if (c == NOP)
357 		return -1;
358 
359 	switch (BPF_CLASS(c)) {
360 
361 	case BPF_RET:
362 		return (BPF_RVAL(c) == BPF_A) ? A_ATOM :
363 			(BPF_RVAL(c) == BPF_X) ? X_ATOM : -1;
364 
365 	case BPF_LD:
366 	case BPF_LDX:
367 		return (BPF_MODE(c) == BPF_IND) ? X_ATOM :
368 			(BPF_MODE(c) == BPF_MEM) ? s->k : -1;
369 
370 	case BPF_ST:
371 		return A_ATOM;
372 
373 	case BPF_STX:
374 		return X_ATOM;
375 
376 	case BPF_JMP:
377 	case BPF_ALU:
378 		if (BPF_SRC(c) == BPF_X)
379 			return AX_ATOM;
380 		return A_ATOM;
381 
382 	case BPF_MISC:
383 		return BPF_MISCOP(c) == BPF_TXA ? X_ATOM : A_ATOM;
384 	}
385 	abort();
386 	/* NOTREACHED */
387 }
388 
389 /*
390  * Return the register number that is defined by 's'.  We assume that
391  * a single stmt cannot define more than one register.  If no register
392  * is defined, return -1.
393  *
394  * The implementation should probably change to an array access.
395  */
396 static int
397 atomdef(s)
398 	struct stmt *s;
399 {
400 	if (s->code == NOP)
401 		return -1;
402 
403 	switch (BPF_CLASS(s->code)) {
404 
405 	case BPF_LD:
406 	case BPF_ALU:
407 		return A_ATOM;
408 
409 	case BPF_LDX:
410 		return X_ATOM;
411 
412 	case BPF_ST:
413 	case BPF_STX:
414 		return s->k;
415 
416 	case BPF_MISC:
417 		return BPF_MISCOP(s->code) == BPF_TAX ? X_ATOM : A_ATOM;
418 	}
419 	return -1;
420 }
421 
422 static void
423 compute_local_ud(b)
424 	struct block *b;
425 {
426 	struct slist *s;
427 	atomset def = 0, use = 0, kill = 0;
428 	int atom;
429 
430 	for (s = b->stmts; s; s = s->next) {
431 		if (s->s.code == NOP)
432 			continue;
433 		atom = atomuse(&s->s);
434 		if (atom >= 0) {
435 			if (atom == AX_ATOM) {
436 				if (!ATOMELEM(def, X_ATOM))
437 					use |= ATOMMASK(X_ATOM);
438 				if (!ATOMELEM(def, A_ATOM))
439 					use |= ATOMMASK(A_ATOM);
440 			}
441 			else if (atom < N_ATOMS) {
442 				if (!ATOMELEM(def, atom))
443 					use |= ATOMMASK(atom);
444 			}
445 			else
446 				abort();
447 		}
448 		atom = atomdef(&s->s);
449 		if (atom >= 0) {
450 			if (!ATOMELEM(use, atom))
451 				kill |= ATOMMASK(atom);
452 			def |= ATOMMASK(atom);
453 		}
454 	}
455 	if (!ATOMELEM(def, A_ATOM) && BPF_CLASS(b->s.code) == BPF_JMP)
456 		use |= ATOMMASK(A_ATOM);
457 
458 	b->def = def;
459 	b->kill = kill;
460 	b->in_use = use;
461 }
462 
463 /*
464  * Assume graph is already leveled.
465  */
466 static void
467 find_ud(root)
468 	struct block *root;
469 {
470 	int i, maxlevel;
471 	struct block *p;
472 
473 	/*
474 	 * root->level is the highest level no found;
475 	 * count down from there.
476 	 */
477 	maxlevel = root->level;
478 	for (i = maxlevel; i >= 0; --i)
479 		for (p = levels[i]; p; p = p->link) {
480 			compute_local_ud(p);
481 			p->out_use = 0;
482 		}
483 
484 	for (i = 1; i <= maxlevel; ++i) {
485 		for (p = levels[i]; p; p = p->link) {
486 			p->out_use |= JT(p)->in_use | JF(p)->in_use;
487 			p->in_use |= p->out_use &~ p->kill;
488 		}
489 	}
490 }
491 
492 /*
493  * These data structures are used in a Cocke and Shwarz style
494  * value numbering scheme.  Since the flowgraph is acyclic,
495  * exit values can be propagated from a node's predecessors
496  * provided it is uniquely defined.
497  */
498 struct valnode {
499 	int code;
500 	int v0, v1;
501 	int val;
502 	struct valnode *next;
503 };
504 
505 #define MODULUS 213
506 static struct valnode *hashtbl[MODULUS];
507 static int curval;
508 static int maxval;
509 
510 /* Integer constants mapped with the load immediate opcode. */
511 #define K(i) F(BPF_LD|BPF_IMM|BPF_W, i, 0L)
512 
513 struct vmapinfo {
514 	int is_const;
515 	bpf_int32 const_val;
516 };
517 
518 struct vmapinfo *vmap;
519 struct valnode *vnode_base;
520 struct valnode *next_vnode;
521 
522 static void
523 init_val()
524 {
525 	curval = 0;
526 	next_vnode = vnode_base;
527 	memset((char *)vmap, 0, maxval * sizeof(*vmap));
528 	memset((char *)hashtbl, 0, sizeof hashtbl);
529 }
530 
531 /* Because we really don't have an IR, this stuff is a little messy. */
532 static int
533 F(code, v0, v1)
534 	int code;
535 	int v0, v1;
536 {
537 	u_int hash;
538 	int val;
539 	struct valnode *p;
540 
541 	hash = (u_int)code ^ (v0 << 4) ^ (v1 << 8);
542 	hash %= MODULUS;
543 
544 	for (p = hashtbl[hash]; p; p = p->next)
545 		if (p->code == code && p->v0 == v0 && p->v1 == v1)
546 			return p->val;
547 
548 	val = ++curval;
549 	if (BPF_MODE(code) == BPF_IMM &&
550 	    (BPF_CLASS(code) == BPF_LD || BPF_CLASS(code) == BPF_LDX)) {
551 		vmap[val].const_val = v0;
552 		vmap[val].is_const = 1;
553 	}
554 	p = next_vnode++;
555 	p->val = val;
556 	p->code = code;
557 	p->v0 = v0;
558 	p->v1 = v1;
559 	p->next = hashtbl[hash];
560 	hashtbl[hash] = p;
561 
562 	return val;
563 }
564 
565 static __inline void
566 vstore(s, valp, newval, alter)
567 	struct stmt *s;
568 	int *valp;
569 	int newval;
570 	int alter;
571 {
572 	if (alter && *valp == newval)
573 		s->code = NOP;
574 	else
575 		*valp = newval;
576 }
577 
578 static void
579 fold_op(s, v0, v1)
580 	struct stmt *s;
581 	int v0, v1;
582 {
583 	bpf_int32 a, b;
584 
585 	a = vmap[v0].const_val;
586 	b = vmap[v1].const_val;
587 
588 	switch (BPF_OP(s->code)) {
589 	case BPF_ADD:
590 		a += b;
591 		break;
592 
593 	case BPF_SUB:
594 		a -= b;
595 		break;
596 
597 	case BPF_MUL:
598 		a *= b;
599 		break;
600 
601 	case BPF_DIV:
602 		if (b == 0)
603 			bpf_error("division by zero");
604 		a /= b;
605 		break;
606 
607 	case BPF_AND:
608 		a &= b;
609 		break;
610 
611 	case BPF_OR:
612 		a |= b;
613 		break;
614 
615 	case BPF_LSH:
616 		a <<= b;
617 		break;
618 
619 	case BPF_RSH:
620 		a >>= b;
621 		break;
622 
623 	case BPF_NEG:
624 		a = -a;
625 		break;
626 
627 	default:
628 		abort();
629 	}
630 	s->k = a;
631 	s->code = BPF_LD|BPF_IMM;
632 	done = 0;
633 }
634 
635 static __inline struct slist *
636 this_op(s)
637 	struct slist *s;
638 {
639 	while (s != 0 && s->s.code == NOP)
640 		s = s->next;
641 	return s;
642 }
643 
644 static void
645 opt_not(b)
646 	struct block *b;
647 {
648 	struct block *tmp = JT(b);
649 
650 	JT(b) = JF(b);
651 	JF(b) = tmp;
652 }
653 
654 static void
655 opt_peep(b)
656 	struct block *b;
657 {
658 	struct slist *s;
659 	struct slist *next, *last;
660 	int val;
661 
662 	s = b->stmts;
663 	if (s == 0)
664 		return;
665 
666 	last = s;
667 	while (1) {
668 		s = this_op(s);
669 		if (s == 0)
670 			break;
671 		next = this_op(s->next);
672 		if (next == 0)
673 			break;
674 		last = next;
675 
676 		/*
677 		 * st  M[k]	-->	st  M[k]
678 		 * ldx M[k]		tax
679 		 */
680 		if (s->s.code == BPF_ST &&
681 		    next->s.code == (BPF_LDX|BPF_MEM) &&
682 		    s->s.k == next->s.k) {
683 			done = 0;
684 			next->s.code = BPF_MISC|BPF_TAX;
685 		}
686 		/*
687 		 * ld  #k	-->	ldx  #k
688 		 * tax			txa
689 		 */
690 		if (s->s.code == (BPF_LD|BPF_IMM) &&
691 		    next->s.code == (BPF_MISC|BPF_TAX)) {
692 			s->s.code = BPF_LDX|BPF_IMM;
693 			next->s.code = BPF_MISC|BPF_TXA;
694 			done = 0;
695 		}
696 		/*
697 		 * This is an ugly special case, but it happens
698 		 * when you say tcp[k] or udp[k] where k is a constant.
699 		 */
700 		if (s->s.code == (BPF_LD|BPF_IMM)) {
701 			struct slist *add, *tax, *ild;
702 
703 			/*
704 			 * Check that X isn't used on exit from this
705 			 * block (which the optimizer might cause).
706 			 * We know the code generator won't generate
707 			 * any local dependencies.
708 			 */
709 			if (ATOMELEM(b->out_use, X_ATOM))
710 				break;
711 
712 			if (next->s.code != (BPF_LDX|BPF_MSH|BPF_B))
713 				add = next;
714 			else
715 				add = this_op(next->next);
716 			if (add == 0 || add->s.code != (BPF_ALU|BPF_ADD|BPF_X))
717 				break;
718 
719 			tax = this_op(add->next);
720 			if (tax == 0 || tax->s.code != (BPF_MISC|BPF_TAX))
721 				break;
722 
723 			ild = this_op(tax->next);
724 			if (ild == 0 || BPF_CLASS(ild->s.code) != BPF_LD ||
725 			    BPF_MODE(ild->s.code) != BPF_IND)
726 				break;
727 			/*
728 			 * XXX We need to check that X is not
729 			 * subsequently used.  We know we can eliminate the
730 			 * accumulator modifications since it is defined
731 			 * by the last stmt of this sequence.
732 			 *
733 			 * We want to turn this sequence:
734 			 *
735 			 * (004) ldi     #0x2		{s}
736 			 * (005) ldxms   [14]		{next}  -- optional
737 			 * (006) addx			{add}
738 			 * (007) tax			{tax}
739 			 * (008) ild     [x+0]		{ild}
740 			 *
741 			 * into this sequence:
742 			 *
743 			 * (004) nop
744 			 * (005) ldxms   [14]
745 			 * (006) nop
746 			 * (007) nop
747 			 * (008) ild     [x+2]
748 			 *
749 			 */
750 			ild->s.k += s->s.k;
751 			s->s.code = NOP;
752 			add->s.code = NOP;
753 			tax->s.code = NOP;
754 			done = 0;
755 		}
756 		s = next;
757 	}
758 	/*
759 	 * If we have a subtract to do a comparison, and the X register
760 	 * is a known constant, we can merge this value into the
761 	 * comparison.
762 	 */
763 	if (last->s.code == (BPF_ALU|BPF_SUB|BPF_X) &&
764 	    !ATOMELEM(b->out_use, A_ATOM)) {
765 		val = b->val[X_ATOM];
766 		if (vmap[val].is_const) {
767 			int op;
768 
769 			b->s.k += vmap[val].const_val;
770 			op = BPF_OP(b->s.code);
771 			if (op == BPF_JGT || op == BPF_JGE) {
772 				struct block *t = JT(b);
773 				JT(b) = JF(b);
774 				JF(b) = t;
775 				b->s.k += 0x80000000;
776 			}
777 			last->s.code = NOP;
778 			done = 0;
779 		} else if (b->s.k == 0) {
780 			/*
781 			 * sub x  ->	nop
782 			 * j  #0	j  x
783 			 */
784 			last->s.code = NOP;
785 			b->s.code = BPF_CLASS(b->s.code) | BPF_OP(b->s.code) |
786 				BPF_X;
787 			done = 0;
788 		}
789 	}
790 	/*
791 	 * Likewise, a constant subtract can be simplified.
792 	 */
793 	else if (last->s.code == (BPF_ALU|BPF_SUB|BPF_K) &&
794 		 !ATOMELEM(b->out_use, A_ATOM)) {
795 		int op;
796 
797 		b->s.k += last->s.k;
798 		last->s.code = NOP;
799 		op = BPF_OP(b->s.code);
800 		if (op == BPF_JGT || op == BPF_JGE) {
801 			struct block *t = JT(b);
802 			JT(b) = JF(b);
803 			JF(b) = t;
804 			b->s.k += 0x80000000;
805 		}
806 		done = 0;
807 	}
808 	/*
809 	 * and #k	nop
810 	 * jeq #0  ->	jset #k
811 	 */
812 	if (last->s.code == (BPF_ALU|BPF_AND|BPF_K) &&
813 	    !ATOMELEM(b->out_use, A_ATOM) && b->s.k == 0) {
814 		b->s.k = last->s.k;
815 		b->s.code = BPF_JMP|BPF_K|BPF_JSET;
816 		last->s.code = NOP;
817 		done = 0;
818 		opt_not(b);
819 	}
820 	/*
821 	 * If the accumulator is a known constant, we can compute the
822 	 * comparison result.
823 	 */
824 	val = b->val[A_ATOM];
825 	if (vmap[val].is_const && BPF_SRC(b->s.code) == BPF_K) {
826 		bpf_int32 v = vmap[val].const_val;
827 		switch (BPF_OP(b->s.code)) {
828 
829 		case BPF_JEQ:
830 			v = v == b->s.k;
831 			break;
832 
833 		case BPF_JGT:
834 			v = (unsigned)v > b->s.k;
835 			break;
836 
837 		case BPF_JGE:
838 			v = (unsigned)v >= b->s.k;
839 			break;
840 
841 		case BPF_JSET:
842 			v &= b->s.k;
843 			break;
844 
845 		default:
846 			abort();
847 		}
848 		if (JF(b) != JT(b))
849 			done = 0;
850 		if (v)
851 			JF(b) = JT(b);
852 		else
853 			JT(b) = JF(b);
854 	}
855 }
856 
857 /*
858  * Compute the symbolic value of expression of 's', and update
859  * anything it defines in the value table 'val'.  If 'alter' is true,
860  * do various optimizations.  This code would be cleaner if symbolic
861  * evaluation and code transformations weren't folded together.
862  */
863 static void
864 opt_stmt(s, val, alter)
865 	struct stmt *s;
866 	int val[];
867 	int alter;
868 {
869 	int op;
870 	int v;
871 
872 	switch (s->code) {
873 
874 	case BPF_LD|BPF_ABS|BPF_W:
875 	case BPF_LD|BPF_ABS|BPF_H:
876 	case BPF_LD|BPF_ABS|BPF_B:
877 		v = F(s->code, s->k, 0L);
878 		vstore(s, &val[A_ATOM], v, alter);
879 		break;
880 
881 	case BPF_LD|BPF_IND|BPF_W:
882 	case BPF_LD|BPF_IND|BPF_H:
883 	case BPF_LD|BPF_IND|BPF_B:
884 		v = val[X_ATOM];
885 		if (alter && vmap[v].is_const) {
886 			s->code = BPF_LD|BPF_ABS|BPF_SIZE(s->code);
887 			s->k += vmap[v].const_val;
888 			v = F(s->code, s->k, 0L);
889 			done = 0;
890 		}
891 		else
892 			v = F(s->code, s->k, v);
893 		vstore(s, &val[A_ATOM], v, alter);
894 		break;
895 
896 	case BPF_LD|BPF_LEN:
897 	case BPF_LD|BPF_RND:
898 		v = F(s->code, 0L, 0L);
899 		vstore(s, &val[A_ATOM], v, alter);
900 		break;
901 
902 	case BPF_LD|BPF_IMM:
903 		v = K(s->k);
904 		vstore(s, &val[A_ATOM], v, alter);
905 		break;
906 
907 	case BPF_LDX|BPF_IMM:
908 		v = K(s->k);
909 		vstore(s, &val[X_ATOM], v, alter);
910 		break;
911 
912 	case BPF_LDX|BPF_MSH|BPF_B:
913 		v = F(s->code, s->k, 0L);
914 		vstore(s, &val[X_ATOM], v, alter);
915 		break;
916 
917 	case BPF_ALU|BPF_NEG:
918 		if (alter && vmap[val[A_ATOM]].is_const) {
919 			s->code = BPF_LD|BPF_IMM;
920 			s->k = -vmap[val[A_ATOM]].const_val;
921 			val[A_ATOM] = K(s->k);
922 		}
923 		else
924 			val[A_ATOM] = F(s->code, val[A_ATOM], 0L);
925 		break;
926 
927 	case BPF_ALU|BPF_ADD|BPF_K:
928 	case BPF_ALU|BPF_SUB|BPF_K:
929 	case BPF_ALU|BPF_MUL|BPF_K:
930 	case BPF_ALU|BPF_DIV|BPF_K:
931 	case BPF_ALU|BPF_AND|BPF_K:
932 	case BPF_ALU|BPF_OR|BPF_K:
933 	case BPF_ALU|BPF_LSH|BPF_K:
934 	case BPF_ALU|BPF_RSH|BPF_K:
935 		op = BPF_OP(s->code);
936 		if (alter) {
937 			if (s->k == 0) {
938 				if (op == BPF_ADD || op == BPF_SUB ||
939 				    op == BPF_LSH || op == BPF_RSH ||
940 				    op == BPF_OR) {
941 					s->code = NOP;
942 					break;
943 				}
944 				if (op == BPF_MUL || op == BPF_AND) {
945 					s->code = BPF_LD|BPF_IMM;
946 					val[A_ATOM] = K(s->k);
947 					break;
948 				}
949 			}
950 			if (vmap[val[A_ATOM]].is_const) {
951 				fold_op(s, val[A_ATOM], K(s->k));
952 				val[A_ATOM] = K(s->k);
953 				break;
954 			}
955 		}
956 		val[A_ATOM] = F(s->code, val[A_ATOM], K(s->k));
957 		break;
958 
959 	case BPF_ALU|BPF_ADD|BPF_X:
960 	case BPF_ALU|BPF_SUB|BPF_X:
961 	case BPF_ALU|BPF_MUL|BPF_X:
962 	case BPF_ALU|BPF_DIV|BPF_X:
963 	case BPF_ALU|BPF_AND|BPF_X:
964 	case BPF_ALU|BPF_OR|BPF_X:
965 	case BPF_ALU|BPF_LSH|BPF_X:
966 	case BPF_ALU|BPF_RSH|BPF_X:
967 		op = BPF_OP(s->code);
968 		if (alter && vmap[val[X_ATOM]].is_const) {
969 			if (vmap[val[A_ATOM]].is_const) {
970 				fold_op(s, val[A_ATOM], val[X_ATOM]);
971 				val[A_ATOM] = K(s->k);
972 			}
973 			else {
974 				s->code = BPF_ALU|BPF_K|op;
975 				s->k = vmap[val[X_ATOM]].const_val;
976 				done = 0;
977 				val[A_ATOM] =
978 					F(s->code, val[A_ATOM], K(s->k));
979 			}
980 			break;
981 		}
982 		/*
983 		 * Check if we're doing something to an accumulator
984 		 * that is 0, and simplify.  This may not seem like
985 		 * much of a simplification but it could open up further
986 		 * optimizations.
987 		 * XXX We could also check for mul by 1, and -1, etc.
988 		 */
989 		if (alter && vmap[val[A_ATOM]].is_const
990 		    && vmap[val[A_ATOM]].const_val == 0) {
991 			if (op == BPF_ADD || op == BPF_OR ||
992 			    op == BPF_LSH || op == BPF_RSH || op == BPF_SUB) {
993 				s->code = BPF_MISC|BPF_TXA;
994 				vstore(s, &val[A_ATOM], val[X_ATOM], alter);
995 				break;
996 			}
997 			else if (op == BPF_MUL || op == BPF_DIV ||
998 				 op == BPF_AND) {
999 				s->code = BPF_LD|BPF_IMM;
1000 				s->k = 0;
1001 				vstore(s, &val[A_ATOM], K(s->k), alter);
1002 				break;
1003 			}
1004 			else if (op == BPF_NEG) {
1005 				s->code = NOP;
1006 				break;
1007 			}
1008 		}
1009 		val[A_ATOM] = F(s->code, val[A_ATOM], val[X_ATOM]);
1010 		break;
1011 
1012 	case BPF_MISC|BPF_TXA:
1013 		vstore(s, &val[A_ATOM], val[X_ATOM], alter);
1014 		break;
1015 
1016 	case BPF_LD|BPF_MEM:
1017 		v = val[s->k];
1018 		if (alter && vmap[v].is_const) {
1019 			s->code = BPF_LD|BPF_IMM;
1020 			s->k = vmap[v].const_val;
1021 			done = 0;
1022 		}
1023 		vstore(s, &val[A_ATOM], v, alter);
1024 		break;
1025 
1026 	case BPF_MISC|BPF_TAX:
1027 		vstore(s, &val[X_ATOM], val[A_ATOM], alter);
1028 		break;
1029 
1030 	case BPF_LDX|BPF_MEM:
1031 		v = val[s->k];
1032 		if (alter && vmap[v].is_const) {
1033 			s->code = BPF_LDX|BPF_IMM;
1034 			s->k = vmap[v].const_val;
1035 			done = 0;
1036 		}
1037 		vstore(s, &val[X_ATOM], v, alter);
1038 		break;
1039 
1040 	case BPF_ST:
1041 		vstore(s, &val[s->k], val[A_ATOM], alter);
1042 		break;
1043 
1044 	case BPF_STX:
1045 		vstore(s, &val[s->k], val[X_ATOM], alter);
1046 		break;
1047 	}
1048 }
1049 
1050 static void
1051 deadstmt(s, last)
1052 	struct stmt *s;
1053 	struct stmt *last[];
1054 {
1055 	int atom;
1056 
1057 	atom = atomuse(s);
1058 	if (atom >= 0) {
1059 		if (atom == AX_ATOM) {
1060 			last[X_ATOM] = 0;
1061 			last[A_ATOM] = 0;
1062 		}
1063 		else
1064 			last[atom] = 0;
1065 	}
1066 	atom = atomdef(s);
1067 	if (atom >= 0) {
1068 		if (last[atom]) {
1069 			done = 0;
1070 			last[atom]->code = NOP;
1071 		}
1072 		last[atom] = s;
1073 	}
1074 }
1075 
1076 static void
1077 opt_deadstores(b)
1078 	struct block *b;
1079 {
1080 	struct slist *s;
1081 	int atom;
1082 	struct stmt *last[N_ATOMS];
1083 
1084 	memset((char *)last, 0, sizeof last);
1085 
1086 	for (s = b->stmts; s != 0; s = s->next)
1087 		deadstmt(&s->s, last);
1088 	deadstmt(&b->s, last);
1089 
1090 	for (atom = 0; atom < N_ATOMS; ++atom)
1091 		if (last[atom] && !ATOMELEM(b->out_use, atom)) {
1092 			last[atom]->code = NOP;
1093 			done = 0;
1094 		}
1095 }
1096 
1097 static void
1098 opt_blk(b, do_stmts)
1099 	struct block *b;
1100 	int do_stmts;
1101 {
1102 	struct slist *s;
1103 	struct edge *p;
1104 	int i;
1105 	bpf_int32 aval;
1106 
1107 #if 0
1108 	for (s = b->stmts; s && s->next; s = s->next)
1109 		if (BPF_CLASS(s->s.code) == BPF_JMP) {
1110 			do_stmts = 0;
1111 			break;
1112 		}
1113 #endif
1114 
1115 	/*
1116 	 * Initialize the atom values.
1117 	 * If we have no predecessors, everything is undefined.
1118 	 * Otherwise, we inherent our values from our predecessors.
1119 	 * If any register has an ambiguous value (i.e. control paths are
1120 	 * merging) give it the undefined value of 0.
1121 	 */
1122 	p = b->in_edges;
1123 	if (p == 0)
1124 		memset((char *)b->val, 0, sizeof(b->val));
1125 	else {
1126 		memcpy((char *)b->val, (char *)p->pred->val, sizeof(b->val));
1127 		while ((p = p->next) != NULL) {
1128 			for (i = 0; i < N_ATOMS; ++i)
1129 				if (b->val[i] != p->pred->val[i])
1130 					b->val[i] = 0;
1131 		}
1132 	}
1133 	aval = b->val[A_ATOM];
1134 	for (s = b->stmts; s; s = s->next)
1135 		opt_stmt(&s->s, b->val, do_stmts);
1136 
1137 	/*
1138 	 * This is a special case: if we don't use anything from this
1139 	 * block, and we load the accumulator with value that is
1140 	 * already there, or if this block is a return,
1141 	 * eliminate all the statements.
1142 	 */
1143 	if (do_stmts &&
1144 	    ((b->out_use == 0 && aval != 0 &&b->val[A_ATOM] == aval) ||
1145 	     BPF_CLASS(b->s.code) == BPF_RET)) {
1146 		if (b->stmts != 0) {
1147 			b->stmts = 0;
1148 			done = 0;
1149 		}
1150 	} else {
1151 		opt_peep(b);
1152 		opt_deadstores(b);
1153 	}
1154 	/*
1155 	 * Set up values for branch optimizer.
1156 	 */
1157 	if (BPF_SRC(b->s.code) == BPF_K)
1158 		b->oval = K(b->s.k);
1159 	else
1160 		b->oval = b->val[X_ATOM];
1161 	b->et.code = b->s.code;
1162 	b->ef.code = -b->s.code;
1163 }
1164 
1165 /*
1166  * Return true if any register that is used on exit from 'succ', has
1167  * an exit value that is different from the corresponding exit value
1168  * from 'b'.
1169  */
1170 static int
1171 use_conflict(b, succ)
1172 	struct block *b, *succ;
1173 {
1174 	int atom;
1175 	atomset use = succ->out_use;
1176 
1177 	if (use == 0)
1178 		return 0;
1179 
1180 	for (atom = 0; atom < N_ATOMS; ++atom)
1181 		if (ATOMELEM(use, atom))
1182 			if (b->val[atom] != succ->val[atom])
1183 				return 1;
1184 	return 0;
1185 }
1186 
1187 static struct block *
1188 fold_edge(child, ep)
1189 	struct block *child;
1190 	struct edge *ep;
1191 {
1192 	int sense;
1193 	int aval0, aval1, oval0, oval1;
1194 	int code = ep->code;
1195 
1196 	if (code < 0) {
1197 		code = -code;
1198 		sense = 0;
1199 	} else
1200 		sense = 1;
1201 
1202 	if (child->s.code != code)
1203 		return 0;
1204 
1205 	aval0 = child->val[A_ATOM];
1206 	oval0 = child->oval;
1207 	aval1 = ep->pred->val[A_ATOM];
1208 	oval1 = ep->pred->oval;
1209 
1210 	if (aval0 != aval1)
1211 		return 0;
1212 
1213 	if (oval0 == oval1)
1214 		/*
1215 		 * The operands are identical, so the
1216 		 * result is true if a true branch was
1217 		 * taken to get here, otherwise false.
1218 		 */
1219 		return sense ? JT(child) : JF(child);
1220 
1221 	if (sense && code == (BPF_JMP|BPF_JEQ|BPF_K))
1222 		/*
1223 		 * At this point, we only know the comparison if we
1224 		 * came down the true branch, and it was an equality
1225 		 * comparison with a constant.  We rely on the fact that
1226 		 * distinct constants have distinct value numbers.
1227 		 */
1228 		return JF(child);
1229 
1230 	return 0;
1231 }
1232 
1233 static void
1234 opt_j(ep)
1235 	struct edge *ep;
1236 {
1237 	int i, k;
1238 	struct block *target;
1239 
1240 	if (JT(ep->succ) == 0)
1241 		return;
1242 
1243 	if (JT(ep->succ) == JF(ep->succ)) {
1244 		/*
1245 		 * Common branch targets can be eliminated, provided
1246 		 * there is no data dependency.
1247 		 */
1248 		if (!use_conflict(ep->pred, ep->succ->et.succ)) {
1249 			done = 0;
1250 			ep->succ = JT(ep->succ);
1251 		}
1252 	}
1253 	/*
1254 	 * For each edge dominator that matches the successor of this
1255 	 * edge, promote the edge successor to the its grandchild.
1256 	 *
1257 	 * XXX We violate the set abstraction here in favor a reasonably
1258 	 * efficient loop.
1259 	 */
1260  top:
1261 	for (i = 0; i < edgewords; ++i) {
1262 		bpf_u_int32 x = ep->edom[i];
1263 
1264 		while (x != 0) {
1265 			k = ffs(x) - 1;
1266 			x &=~ (1 << k);
1267 			k += i * BITS_PER_WORD;
1268 
1269 			target = fold_edge(ep->succ, edges[k]);
1270 			/*
1271 			 * Check that there is no data dependency between
1272 			 * nodes that will be violated if we move the edge.
1273 			 */
1274 			if (target != 0 && !use_conflict(ep->pred, target)) {
1275 				done = 0;
1276 				ep->succ = target;
1277 				if (JT(target) != 0)
1278 					/*
1279 					 * Start over unless we hit a leaf.
1280 					 */
1281 					goto top;
1282 				return;
1283 			}
1284 		}
1285 	}
1286 }
1287 
1288 
1289 static void
1290 or_pullup(b)
1291 	struct block *b;
1292 {
1293 	int val, at_top;
1294 	struct block *pull;
1295 	struct block **diffp, **samep;
1296 	struct edge *ep;
1297 
1298 	ep = b->in_edges;
1299 	if (ep == 0)
1300 		return;
1301 
1302 	/*
1303 	 * Make sure each predecessor loads the same value.
1304 	 * XXX why?
1305 	 */
1306 	val = ep->pred->val[A_ATOM];
1307 	for (ep = ep->next; ep != 0; ep = ep->next)
1308 		if (val != ep->pred->val[A_ATOM])
1309 			return;
1310 
1311 	if (JT(b->in_edges->pred) == b)
1312 		diffp = &JT(b->in_edges->pred);
1313 	else
1314 		diffp = &JF(b->in_edges->pred);
1315 
1316 	at_top = 1;
1317 	while (1) {
1318 		if (*diffp == 0)
1319 			return;
1320 
1321 		if (JT(*diffp) != JT(b))
1322 			return;
1323 
1324 		if (!SET_MEMBER((*diffp)->dom, b->id))
1325 			return;
1326 
1327 		if ((*diffp)->val[A_ATOM] != val)
1328 			break;
1329 
1330 		diffp = &JF(*diffp);
1331 		at_top = 0;
1332 	}
1333 	samep = &JF(*diffp);
1334 	while (1) {
1335 		if (*samep == 0)
1336 			return;
1337 
1338 		if (JT(*samep) != JT(b))
1339 			return;
1340 
1341 		if (!SET_MEMBER((*samep)->dom, b->id))
1342 			return;
1343 
1344 		if ((*samep)->val[A_ATOM] == val)
1345 			break;
1346 
1347 		/* XXX Need to check that there are no data dependencies
1348 		   between dp0 and dp1.  Currently, the code generator
1349 		   will not produce such dependencies. */
1350 		samep = &JF(*samep);
1351 	}
1352 #ifdef notdef
1353 	/* XXX This doesn't cover everything. */
1354 	for (i = 0; i < N_ATOMS; ++i)
1355 		if ((*samep)->val[i] != pred->val[i])
1356 			return;
1357 #endif
1358 	/* Pull up the node. */
1359 	pull = *samep;
1360 	*samep = JF(pull);
1361 	JF(pull) = *diffp;
1362 
1363 	/*
1364 	 * At the top of the chain, each predecessor needs to point at the
1365 	 * pulled up node.  Inside the chain, there is only one predecessor
1366 	 * to worry about.
1367 	 */
1368 	if (at_top) {
1369 		for (ep = b->in_edges; ep != 0; ep = ep->next) {
1370 			if (JT(ep->pred) == b)
1371 				JT(ep->pred) = pull;
1372 			else
1373 				JF(ep->pred) = pull;
1374 		}
1375 	}
1376 	else
1377 		*diffp = pull;
1378 
1379 	done = 0;
1380 }
1381 
1382 static void
1383 and_pullup(b)
1384 	struct block *b;
1385 {
1386 	int val, at_top;
1387 	struct block *pull;
1388 	struct block **diffp, **samep;
1389 	struct edge *ep;
1390 
1391 	ep = b->in_edges;
1392 	if (ep == 0)
1393 		return;
1394 
1395 	/*
1396 	 * Make sure each predecessor loads the same value.
1397 	 */
1398 	val = ep->pred->val[A_ATOM];
1399 	for (ep = ep->next; ep != 0; ep = ep->next)
1400 		if (val != ep->pred->val[A_ATOM])
1401 			return;
1402 
1403 	if (JT(b->in_edges->pred) == b)
1404 		diffp = &JT(b->in_edges->pred);
1405 	else
1406 		diffp = &JF(b->in_edges->pred);
1407 
1408 	at_top = 1;
1409 	while (1) {
1410 		if (*diffp == 0)
1411 			return;
1412 
1413 		if (JF(*diffp) != JF(b))
1414 			return;
1415 
1416 		if (!SET_MEMBER((*diffp)->dom, b->id))
1417 			return;
1418 
1419 		if ((*diffp)->val[A_ATOM] != val)
1420 			break;
1421 
1422 		diffp = &JT(*diffp);
1423 		at_top = 0;
1424 	}
1425 	samep = &JT(*diffp);
1426 	while (1) {
1427 		if (*samep == 0)
1428 			return;
1429 
1430 		if (JF(*samep) != JF(b))
1431 			return;
1432 
1433 		if (!SET_MEMBER((*samep)->dom, b->id))
1434 			return;
1435 
1436 		if ((*samep)->val[A_ATOM] == val)
1437 			break;
1438 
1439 		/* XXX Need to check that there are no data dependencies
1440 		   between diffp and samep.  Currently, the code generator
1441 		   will not produce such dependencies. */
1442 		samep = &JT(*samep);
1443 	}
1444 #ifdef notdef
1445 	/* XXX This doesn't cover everything. */
1446 	for (i = 0; i < N_ATOMS; ++i)
1447 		if ((*samep)->val[i] != pred->val[i])
1448 			return;
1449 #endif
1450 	/* Pull up the node. */
1451 	pull = *samep;
1452 	*samep = JT(pull);
1453 	JT(pull) = *diffp;
1454 
1455 	/*
1456 	 * At the top of the chain, each predecessor needs to point at the
1457 	 * pulled up node.  Inside the chain, there is only one predecessor
1458 	 * to worry about.
1459 	 */
1460 	if (at_top) {
1461 		for (ep = b->in_edges; ep != 0; ep = ep->next) {
1462 			if (JT(ep->pred) == b)
1463 				JT(ep->pred) = pull;
1464 			else
1465 				JF(ep->pred) = pull;
1466 		}
1467 	}
1468 	else
1469 		*diffp = pull;
1470 
1471 	done = 0;
1472 }
1473 
1474 static void
1475 opt_blks(root, do_stmts)
1476 	struct block *root;
1477 	int do_stmts;
1478 {
1479 	int i, maxlevel;
1480 	struct block *p;
1481 
1482 	init_val();
1483 	maxlevel = root->level;
1484 	for (i = maxlevel; i >= 0; --i)
1485 		for (p = levels[i]; p; p = p->link)
1486 			opt_blk(p, do_stmts);
1487 
1488 	if (do_stmts)
1489 		/*
1490 		 * No point trying to move branches; it can't possibly
1491 		 * make a difference at this point.
1492 		 */
1493 		return;
1494 
1495 	for (i = 1; i <= maxlevel; ++i) {
1496 		for (p = levels[i]; p; p = p->link) {
1497 			opt_j(&p->et);
1498 			opt_j(&p->ef);
1499 		}
1500 	}
1501 	for (i = 1; i <= maxlevel; ++i) {
1502 		for (p = levels[i]; p; p = p->link) {
1503 			or_pullup(p);
1504 			and_pullup(p);
1505 		}
1506 	}
1507 }
1508 
1509 static __inline void
1510 link_inedge(parent, child)
1511 	struct edge *parent;
1512 	struct block *child;
1513 {
1514 	parent->next = child->in_edges;
1515 	child->in_edges = parent;
1516 }
1517 
1518 static void
1519 find_inedges(root)
1520 	struct block *root;
1521 {
1522 	int i;
1523 	struct block *b;
1524 
1525 	for (i = 0; i < n_blocks; ++i)
1526 		blocks[i]->in_edges = 0;
1527 
1528 	/*
1529 	 * Traverse the graph, adding each edge to the predecessor
1530 	 * list of its successors.  Skip the leaves (i.e. level 0).
1531 	 */
1532 	for (i = root->level; i > 0; --i) {
1533 		for (b = levels[i]; b != 0; b = b->link) {
1534 			link_inedge(&b->et, JT(b));
1535 			link_inedge(&b->ef, JF(b));
1536 		}
1537 	}
1538 }
1539 
1540 static void
1541 opt_root(b)
1542 	struct block **b;
1543 {
1544 	struct slist *tmp, *s;
1545 
1546 	s = (*b)->stmts;
1547 	(*b)->stmts = 0;
1548 	while (BPF_CLASS((*b)->s.code) == BPF_JMP && JT(*b) == JF(*b))
1549 		*b = JT(*b);
1550 
1551 	tmp = (*b)->stmts;
1552 	if (tmp != 0)
1553 		sappend(s, tmp);
1554 	(*b)->stmts = s;
1555 
1556 	/*
1557 	 * If the root node is a return, then there is no
1558 	 * point executing any statements (since the bpf machine
1559 	 * has no side effects).
1560 	 */
1561 	if (BPF_CLASS((*b)->s.code) == BPF_RET)
1562 		(*b)->stmts = 0;
1563 }
1564 
1565 static void
1566 opt_loop(root, do_stmts)
1567 	struct block *root;
1568 	int do_stmts;
1569 {
1570 
1571 #ifdef BDEBUG
1572 	if (dflag > 1)
1573 		opt_dump(root);
1574 #endif
1575 	do {
1576 		done = 1;
1577 		find_levels(root);
1578 		find_dom(root);
1579 		find_closure(root);
1580 		find_inedges(root);
1581 		find_ud(root);
1582 		find_edom(root);
1583 		opt_blks(root, do_stmts);
1584 #ifdef BDEBUG
1585 		if (dflag > 1)
1586 			opt_dump(root);
1587 #endif
1588 	} while (!done);
1589 }
1590 
1591 /*
1592  * Optimize the filter code in its dag representation.
1593  */
1594 void
1595 bpf_optimize(rootp)
1596 	struct block **rootp;
1597 {
1598 	struct block *root;
1599 
1600 	root = *rootp;
1601 
1602 	opt_init(root);
1603 	opt_loop(root, 0);
1604 	opt_loop(root, 1);
1605 	intern_blocks(root);
1606 	opt_root(rootp);
1607 	opt_cleanup();
1608 }
1609 
1610 static void
1611 make_marks(p)
1612 	struct block *p;
1613 {
1614 	if (!isMarked(p)) {
1615 		Mark(p);
1616 		if (BPF_CLASS(p->s.code) != BPF_RET) {
1617 			make_marks(JT(p));
1618 			make_marks(JF(p));
1619 		}
1620 	}
1621 }
1622 
1623 /*
1624  * Mark code array such that isMarked(i) is true
1625  * only for nodes that are alive.
1626  */
1627 static void
1628 mark_code(p)
1629 	struct block *p;
1630 {
1631 	cur_mark += 1;
1632 	make_marks(p);
1633 }
1634 
1635 /*
1636  * True iff the two stmt lists load the same value from the packet into
1637  * the accumulator.
1638  */
1639 static int
1640 eq_slist(x, y)
1641 	struct slist *x, *y;
1642 {
1643 	while (1) {
1644 		while (x && x->s.code == NOP)
1645 			x = x->next;
1646 		while (y && y->s.code == NOP)
1647 			y = y->next;
1648 		if (x == 0)
1649 			return y == 0;
1650 		if (y == 0)
1651 			return x == 0;
1652 		if (x->s.code != y->s.code || x->s.k != y->s.k)
1653 			return 0;
1654 		x = x->next;
1655 		y = y->next;
1656 	}
1657 }
1658 
1659 static __inline int
1660 eq_blk(b0, b1)
1661 	struct block *b0, *b1;
1662 {
1663 	if (b0->s.code == b1->s.code &&
1664 	    b0->s.k == b1->s.k &&
1665 	    b0->et.succ == b1->et.succ &&
1666 	    b0->ef.succ == b1->ef.succ)
1667 		return eq_slist(b0->stmts, b1->stmts);
1668 	return 0;
1669 }
1670 
1671 static void
1672 intern_blocks(root)
1673 	struct block *root;
1674 {
1675 	struct block *p;
1676 	int i, j;
1677 	int done;
1678  top:
1679 	done = 1;
1680 	for (i = 0; i < n_blocks; ++i)
1681 		blocks[i]->link = 0;
1682 
1683 	mark_code(root);
1684 
1685 	for (i = n_blocks - 1; --i >= 0; ) {
1686 		if (!isMarked(blocks[i]))
1687 			continue;
1688 		for (j = i + 1; j < n_blocks; ++j) {
1689 			if (!isMarked(blocks[j]))
1690 				continue;
1691 			if (eq_blk(blocks[i], blocks[j])) {
1692 				blocks[i]->link = blocks[j]->link ?
1693 					blocks[j]->link : blocks[j];
1694 				break;
1695 			}
1696 		}
1697 	}
1698 	for (i = 0; i < n_blocks; ++i) {
1699 		p = blocks[i];
1700 		if (JT(p) == 0)
1701 			continue;
1702 		if (JT(p)->link) {
1703 			done = 0;
1704 			JT(p) = JT(p)->link;
1705 		}
1706 		if (JF(p)->link) {
1707 			done = 0;
1708 			JF(p) = JF(p)->link;
1709 		}
1710 	}
1711 	if (!done)
1712 		goto top;
1713 }
1714 
1715 static void
1716 opt_cleanup()
1717 {
1718 	free((void *)vnode_base);
1719 	free((void *)vmap);
1720 	free((void *)edges);
1721 	free((void *)space1);
1722 	free((void *)space2);
1723 	free((void *)levels);
1724 	free((void *)blocks);
1725 }
1726 
1727 /*
1728  * Return the number of stmts in 's'.
1729  */
1730 static int
1731 slength(s)
1732 	struct slist *s;
1733 {
1734 	int n = 0;
1735 
1736 	for (; s; s = s->next)
1737 		if (s->s.code != NOP)
1738 			++n;
1739 	return n;
1740 }
1741 
1742 /*
1743  * Return the number of nodes reachable by 'p'.
1744  * All nodes should be initially unmarked.
1745  */
1746 static int
1747 count_blocks(p)
1748 	struct block *p;
1749 {
1750 	if (p == 0 || isMarked(p))
1751 		return 0;
1752 	Mark(p);
1753 	return count_blocks(JT(p)) + count_blocks(JF(p)) + 1;
1754 }
1755 
1756 /*
1757  * Do a depth first search on the flow graph, numbering the
1758  * the basic blocks, and entering them into the 'blocks' array.`
1759  */
1760 static void
1761 number_blks_r(p)
1762 	struct block *p;
1763 {
1764 	int n;
1765 
1766 	if (p == 0 || isMarked(p))
1767 		return;
1768 
1769 	Mark(p);
1770 	n = n_blocks++;
1771 	p->id = n;
1772 	blocks[n] = p;
1773 
1774 	number_blks_r(JT(p));
1775 	number_blks_r(JF(p));
1776 }
1777 
1778 /*
1779  * Return the number of stmts in the flowgraph reachable by 'p'.
1780  * The nodes should be unmarked before calling.
1781  */
1782 static int
1783 count_stmts(p)
1784 	struct block *p;
1785 {
1786 	int n;
1787 
1788 	if (p == 0 || isMarked(p))
1789 		return 0;
1790 	Mark(p);
1791 	n = count_stmts(JT(p)) + count_stmts(JF(p));
1792 	return slength(p->stmts) + n + 1 + p->longjt + p->longjf;
1793 }
1794 
1795 /*
1796  * Allocate memory.  All allocation is done before optimization
1797  * is begun.  A linear bound on the size of all data structures is computed
1798  * from the total number of blocks and/or statements.
1799  */
1800 static void
1801 opt_init(root)
1802 	struct block *root;
1803 {
1804 	bpf_u_int32 *p;
1805 	int i, n, max_stmts;
1806 	size_t size1, size2;
1807 
1808 	/*
1809 	 * First, count the blocks, so we can malloc an array to map
1810 	 * block number to block.  Then, put the blocks into the array.
1811 	 */
1812 	unMarkAll();
1813 	n = count_blocks(root);
1814 	blocks = reallocarray(NULL, n, sizeof(*blocks));
1815 	if (blocks == NULL)
1816 		bpf_error("malloc");
1817 
1818 	unMarkAll();
1819 	n_blocks = 0;
1820 	number_blks_r(root);
1821 
1822 	n_edges = 2 * n_blocks;
1823 	edges = reallocarray(NULL, n_edges, sizeof(*edges));
1824 	if (edges == NULL)
1825 		bpf_error("malloc");
1826 
1827 	/*
1828 	 * The number of levels is bounded by the number of nodes.
1829 	 */
1830 	levels = reallocarray(NULL, n_blocks, sizeof(*levels));
1831 	if (levels == NULL)
1832 		bpf_error("malloc");
1833 
1834 	edgewords = n_edges / (8 * sizeof(bpf_u_int32)) + 1;
1835 	nodewords = n_blocks / (8 * sizeof(bpf_u_int32)) + 1;
1836 
1837 	size1 = 2;
1838 	if (n_blocks > SIZE_MAX / size1)
1839 		goto fail1;
1840 	size1 *= n_blocks;
1841 	if (nodewords > SIZE_MAX / size1)
1842 		goto fail1;
1843 	size1 *= nodewords;
1844 	if (sizeof(*space1) > SIZE_MAX / size1)
1845 		goto fail1;
1846 	size1 *= sizeof(*space1);
1847 
1848 	space1 = (bpf_u_int32 *)malloc(size1);
1849 	if (space1 == NULL) {
1850 fail1:
1851 		bpf_error("malloc");
1852 	}
1853 
1854 	size2 = n_edges;
1855 	if (edgewords > SIZE_MAX / size2)
1856 		goto fail2;
1857 	size2 *= edgewords;
1858 	if (sizeof(*space2) > SIZE_MAX / size2)
1859 		goto fail2;
1860 	size2 *= sizeof(*space2);
1861 
1862 	space2 = (bpf_u_int32 *)malloc(size2);
1863 	if (space2 == NULL) {
1864 fail2:
1865 		free(space1);
1866 		bpf_error("malloc");
1867 	}
1868 
1869 	p = space1;
1870 	all_dom_sets = p;
1871 	for (i = 0; i < n; ++i) {
1872 		blocks[i]->dom = p;
1873 		p += nodewords;
1874 	}
1875 	all_closure_sets = p;
1876 	for (i = 0; i < n; ++i) {
1877 		blocks[i]->closure = p;
1878 		p += nodewords;
1879 	}
1880 	p = space2;
1881 	all_edge_sets = p;
1882 	for (i = 0; i < n; ++i) {
1883 		struct block *b = blocks[i];
1884 
1885 		b->et.edom = p;
1886 		p += edgewords;
1887 		b->ef.edom = p;
1888 		p += edgewords;
1889 		b->et.id = i;
1890 		edges[i] = &b->et;
1891 		b->ef.id = n_blocks + i;
1892 		edges[n_blocks + i] = &b->ef;
1893 		b->et.pred = b;
1894 		b->ef.pred = b;
1895 	}
1896 	max_stmts = 0;
1897 	for (i = 0; i < n; ++i)
1898 		max_stmts += slength(blocks[i]->stmts) + 1;
1899 	/*
1900 	 * We allocate at most 3 value numbers per statement,
1901 	 * so this is an upper bound on the number of valnodes
1902 	 * we'll need.
1903 	 */
1904 	maxval = 3 * max_stmts;
1905 	vmap = reallocarray(NULL, maxval, sizeof(*vmap));
1906 	vnode_base = reallocarray(NULL, maxval, sizeof(*vnode_base));
1907 	if (vmap == NULL || vnode_base == NULL)
1908 		bpf_error("malloc");
1909 }
1910 
1911 /*
1912  * Some pointers used to convert the basic block form of the code,
1913  * into the array form that BPF requires.  'fstart' will point to
1914  * the malloc'd array while 'ftail' is used during the recursive traversal.
1915  */
1916 static struct bpf_insn *fstart;
1917 static struct bpf_insn *ftail;
1918 
1919 #ifdef BDEBUG
1920 int bids[1000];
1921 #endif
1922 
1923 /*
1924  * Returns true if successful.  Returns false if a branch has
1925  * an offset that is too large.  If so, we have marked that
1926  * branch so that on a subsequent iteration, it will be treated
1927  * properly.
1928  */
1929 static int
1930 convert_code_r(p)
1931 	struct block *p;
1932 {
1933 	struct bpf_insn *dst;
1934 	struct slist *src;
1935 	int slen;
1936 	u_int off;
1937 	int extrajmps;		/* number of extra jumps inserted */
1938 	struct slist **offset = NULL;
1939 
1940 	if (p == 0 || isMarked(p))
1941 		return (1);
1942 	Mark(p);
1943 
1944 	if (convert_code_r(JF(p)) == 0)
1945 		return (0);
1946 	if (convert_code_r(JT(p)) == 0)
1947 		return (0);
1948 
1949 	slen = slength(p->stmts);
1950 	dst = ftail -= (slen + 1 + p->longjt + p->longjf);
1951 		/* inflate length by any extra jumps */
1952 
1953 	p->offset = dst - fstart;
1954 
1955 	/* generate offset[] for convenience  */
1956 	if (slen) {
1957 		offset = calloc(slen, sizeof(struct slist *));
1958 		if (!offset) {
1959 			bpf_error("not enough core");
1960 			/*NOTREACHED*/
1961 		}
1962 	}
1963 	src = p->stmts;
1964 	for (off = 0; off < slen && src; off++) {
1965 #if 0
1966 		printf("off=%d src=%x\n", off, src);
1967 #endif
1968 		offset[off] = src;
1969 		src = src->next;
1970 	}
1971 
1972 	off = 0;
1973 	for (src = p->stmts; src; src = src->next) {
1974 		if (src->s.code == NOP)
1975 			continue;
1976 		dst->code = (u_short)src->s.code;
1977 		dst->k = src->s.k;
1978 
1979 		/* fill block-local relative jump */
1980 		if (BPF_CLASS(src->s.code) != BPF_JMP || src->s.code == (BPF_JMP|BPF_JA)) {
1981 #if 0
1982 			if (src->s.jt || src->s.jf) {
1983 				bpf_error("illegal jmp destination");
1984 				/*NOTREACHED*/
1985 			}
1986 #endif
1987 			goto filled;
1988 		}
1989 		if (off == slen - 2)	/*???*/
1990 			goto filled;
1991 
1992 	    {
1993 		int i;
1994 		int jt, jf;
1995 		static const char ljerr[] =
1996 		    "%s for block-local relative jump: off=%d";
1997 
1998 #if 0
1999 		printf("code=%x off=%d %x %x\n", src->s.code,
2000 			off, src->s.jt, src->s.jf);
2001 #endif
2002 
2003 		if (!src->s.jt || !src->s.jf) {
2004 			bpf_error(ljerr, "no jmp destination", off);
2005 			/*NOTREACHED*/
2006 		}
2007 
2008 		jt = jf = 0;
2009 		for (i = 0; i < slen; i++) {
2010 			if (offset[i] == src->s.jt) {
2011 				if (jt) {
2012 					bpf_error(ljerr, "multiple matches", off);
2013 					/*NOTREACHED*/
2014 				}
2015 
2016 				dst->jt = i - off - 1;
2017 				jt++;
2018 			}
2019 			if (offset[i] == src->s.jf) {
2020 				if (jf) {
2021 					bpf_error(ljerr, "multiple matches", off);
2022 					/*NOTREACHED*/
2023 				}
2024 				dst->jf = i - off - 1;
2025 				jf++;
2026 			}
2027 		}
2028 		if (!jt || !jf) {
2029 			bpf_error(ljerr, "no destination found", off);
2030 			/*NOTREACHED*/
2031 		}
2032 	    }
2033 filled:
2034 		++dst;
2035 		++off;
2036 	}
2037 	free(offset);
2038 
2039 #ifdef BDEBUG
2040 	bids[dst - fstart] = p->id + 1;
2041 #endif
2042 	dst->code = (u_short)p->s.code;
2043 	dst->k = p->s.k;
2044 	if (JT(p)) {
2045 		extrajmps = 0;
2046 		off = JT(p)->offset - (p->offset + slen) - 1;
2047 		if (off >= 256) {
2048 		    /* offset too large for branch, must add a jump */
2049 		    if (p->longjt == 0) {
2050 		    	/* mark this instruction and retry */
2051 			p->longjt++;
2052 			return(0);
2053 		    }
2054 		    /* branch if T to following jump */
2055 		    dst->jt = extrajmps;
2056 		    extrajmps++;
2057 		    dst[extrajmps].code = BPF_JMP|BPF_JA;
2058 		    dst[extrajmps].k = off - extrajmps;
2059 		}
2060 		else
2061 		    dst->jt = off;
2062 		off = JF(p)->offset - (p->offset + slen) - 1;
2063 		if (off >= 256) {
2064 		    /* offset too large for branch, must add a jump */
2065 		    if (p->longjf == 0) {
2066 		    	/* mark this instruction and retry */
2067 			p->longjf++;
2068 			return(0);
2069 		    }
2070 		    /* branch if F to following jump */
2071 		    /* if two jumps are inserted, F goes to second one */
2072 		    dst->jf = extrajmps;
2073 		    extrajmps++;
2074 		    dst[extrajmps].code = BPF_JMP|BPF_JA;
2075 		    dst[extrajmps].k = off - extrajmps;
2076 		}
2077 		else
2078 		    dst->jf = off;
2079 	}
2080 	return (1);
2081 }
2082 
2083 
2084 /*
2085  * Convert flowgraph intermediate representation to the
2086  * BPF array representation.  Set *lenp to the number of instructions.
2087  */
2088 struct bpf_insn *
2089 icode_to_fcode(root, lenp)
2090 	struct block *root;
2091 	int *lenp;
2092 {
2093 	int n;
2094 	struct bpf_insn *fp;
2095 
2096 	/*
2097 	 * Loop doing convert_codr_r() until no branches remain
2098 	 * with too-large offsets.
2099 	 */
2100 	while (1) {
2101 	    unMarkAll();
2102 	    n = *lenp = count_stmts(root);
2103 
2104 	    fp = calloc(n, sizeof(*fp));
2105 	    if (fp == NULL)
2106 		    bpf_error("calloc");
2107 
2108 	    fstart = fp;
2109 	    ftail = fp + n;
2110 
2111 	    unMarkAll();
2112 	    if (convert_code_r(root))
2113 		break;
2114 	    free(fp);
2115 	}
2116 
2117 	return fp;
2118 }
2119 
2120 #ifdef BDEBUG
2121 static void
2122 opt_dump(root)
2123 	struct block *root;
2124 {
2125 	struct bpf_program f;
2126 
2127 	memset(bids, 0, sizeof bids);
2128 	f.bf_insns = icode_to_fcode(root, &f.bf_len);
2129 	bpf_dump(&f, 1);
2130 	putchar('\n');
2131 	free((char *)f.bf_insns);
2132 }
2133 #endif
2134