xref: /original-bsd/sys/net/radix.c (revision c41723e9)
1 /*
2  * Copyright (c) 1988, 1989  Regents of the University of California.
3  * All rights reserved.
4  *
5  * %sccs.include.redist.c%
6  *
7  *	@(#)radix.c	7.13 (Berkeley) 01/29/92
8  */
9 
10 /*
11  * Routines to build and maintain radix trees for routing lookups.
12  */
13 #ifndef RNF_NORMAL
14 #include "param.h"
15 #include "radix.h"
16 #include "malloc.h"
17 #define	M_DONTWAIT M_NOWAIT
18 #endif
19 struct radix_mask *rn_mkfreelist;
20 struct radix_node_head *mask_rnhead;
21 #define rn_maskhead (mask_rnhead->rnh_treetop)
22 #undef Bcmp
23 #define Bcmp(a, b, l) (l == 0 ? 0 : bcmp((caddr_t)(a), (caddr_t)(b), (u_long)l))
24 /*
25  * The data structure for the keys is a radix tree with one way
26  * branching removed.  The index rn_b at an internal node n represents a bit
27  * position to be tested.  The tree is arranged so that all descendants
28  * of a node n have keys whose bits all agree up to position rn_b - 1.
29  * (We say the index of n is rn_b.)
30  *
31  * There is at least one descendant which has a one bit at position rn_b,
32  * and at least one with a zero there.
33  *
34  * A route is determined by a pair of key and mask.  We require that the
35  * bit-wise logical and of the key and mask to be the key.
36  * We define the index of a route to associated with the mask to be
37  * the first bit number in the mask where 0 occurs (with bit number 0
38  * representing the highest order bit).
39  *
40  * We say a mask is normal if every bit is 0, past the index of the mask.
41  * If a node n has a descendant (k, m) with index(m) == index(n) == rn_b,
42  * and m is a normal mask, then the route applies to every descendant of n.
43  * If the index(m) < rn_b, this implies the trailing last few bits of k
44  * before bit b are all 0, (and hence consequently true of every descendant
45  * of n), so the route applies to all descendants of the node as well.
46  *
47  * The present version of the code makes no use of normal routes,
48  * but similar logic shows that a non-normal mask m such that
49  * index(m) <= index(n) could potentially apply to many children of n.
50  * Thus, for each non-host route, we attach its mask to a list at an internal
51  * node as high in the tree as we can go.
52  */
53 
54 struct radix_node *
55 rn_search(v, head)
56 	struct radix_node *head;
57 	register caddr_t v;
58 {
59 	register struct radix_node *x;
60 
61 	for (x = head; x->rn_b >= 0;) {
62 		if (x->rn_bmask & v[x->rn_off])
63 			x = x->rn_r;
64 		else
65 			x = x->rn_l;
66 	}
67 	return x;
68 };
69 
70 struct radix_node *
71 rn_search_m(v, head, m)
72 	struct radix_node *head;
73 	register caddr_t v, m;
74 {
75 	register struct radix_node *x;
76 
77 	for (x = head; x->rn_b >= 0;) {
78 		if ((x->rn_bmask & m[x->rn_off]) &&
79 		    (x->rn_bmask & v[x->rn_off]))
80 			x = x->rn_r;
81 		else
82 			x = x->rn_l;
83 	}
84 	return x;
85 };
86 
87 rn_refines(m, n)
88 	register caddr_t m, n;
89 {
90 	register caddr_t lim, lim2 = lim = n + *(u_char *)n;
91 	int longer = (*(u_char *)n++) - (int)(*(u_char *)m++);
92 
93 	if (longer > 0)
94 		lim -= longer;
95 	while (n < lim)
96 		if (*n++ & ~(*m++))
97 			return 0;
98 	while (n < lim2)
99 		if (*n++)
100 			return 0;
101 	return 1;
102 }
103 
104 
105 #define MAXKEYLEN 52
106 static int gotOddMasks;
107 static char maskedKey[MAXKEYLEN];
108 
109 struct radix_node *
110 rn_match(v, head)
111 	struct radix_node *head;
112 	caddr_t v;
113 {
114 	register struct radix_node *t = head, *x;
115 	register caddr_t cp = v, cp2, cp3;
116 	caddr_t cplim, mstart;
117 	struct radix_node *saved_t;
118 	int off = t->rn_off, vlen = *(u_char *)cp, matched_off;
119 
120 	/*
121 	 * Open code rn_search(v, head) to avoid overhead of extra
122 	 * subroutine call.
123 	 */
124 	for (; t->rn_b >= 0; ) {
125 		if (t->rn_bmask & cp[t->rn_off])
126 			t = t->rn_r;
127 		else
128 			t = t->rn_l;
129 	}
130 	/*
131 	 * See if we match exactly as a host destination
132 	 */
133 	cp += off; cp2 = t->rn_key + off; cplim = v + vlen;
134 	for (; cp < cplim; cp++, cp2++)
135 		if (*cp != *cp2)
136 			goto on1;
137 	/*
138 	 * This extra grot is in case we are explicitly asked
139 	 * to look up the default.  Ugh!
140 	 */
141 	if ((t->rn_flags & RNF_ROOT) && t->rn_dupedkey)
142 		t = t->rn_dupedkey;
143 	return t;
144 on1:
145 	matched_off = cp - v;
146 	saved_t = t;
147 	do {
148 	    if (t->rn_mask) {
149 		/*
150 		 * Even if we don't match exactly as a hosts;
151 		 * we may match if the leaf we wound up at is
152 		 * a route to a net.
153 		 */
154 		cp3 = matched_off + t->rn_mask;
155 		cp2 = matched_off + t->rn_key;
156 		for (; cp < cplim; cp++)
157 			if ((*cp2++ ^ *cp) & *cp3++)
158 				break;
159 		if (cp == cplim)
160 			return t;
161 		cp = matched_off + v;
162 	    }
163 	} while (t = t->rn_dupedkey);
164 	t = saved_t;
165 	/* start searching up the tree */
166 	do {
167 		register struct radix_mask *m;
168 		t = t->rn_p;
169 		if (m = t->rn_mklist) {
170 			/*
171 			 * After doing measurements here, it may
172 			 * turn out to be faster to open code
173 			 * rn_search_m here instead of always
174 			 * copying and masking.
175 			 */
176 			off = min(t->rn_off, matched_off);
177 			mstart = maskedKey + off;
178 			do {
179 				cp2 = mstart;
180 				cp3 = m->rm_mask + off;
181 				for (cp = v + off; cp < cplim;)
182 					*cp2++ =  *cp++ & *cp3++;
183 				x = rn_search(maskedKey, t);
184 				while (x && x->rn_mask != m->rm_mask)
185 					x = x->rn_dupedkey;
186 				if (x &&
187 				    (Bcmp(mstart, x->rn_key + off,
188 					vlen - off) == 0))
189 					    return x;
190 			} while (m = m->rm_mklist);
191 		}
192 	} while (t != head);
193 	return 0;
194 };
195 
196 #ifdef RN_DEBUG
197 int	rn_nodenum;
198 struct	radix_node *rn_clist;
199 int	rn_saveinfo;
200 #endif
201 
202 struct radix_node *
203 rn_newpair(v, b, nodes)
204 	caddr_t v;
205 	int b;
206 	struct radix_node nodes[2];
207 {
208 	register struct radix_node *tt = nodes, *t = tt + 1;
209 	t->rn_b = b; t->rn_bmask = 0x80 >> (b & 7);
210 	t->rn_l = tt; t->rn_off = b >> 3;
211 	tt->rn_b = -1; tt->rn_key = v; tt->rn_p = t;
212 	tt->rn_flags = t->rn_flags = RNF_ACTIVE;
213 #ifdef RN_DEBUG
214 	tt->rn_info = rn_nodenum++; t->rn_info = rn_nodenum++;
215 	tt->rn_twin = t; tt->rn_ybro = rn_clist; rn_clist = tt;
216 #endif
217 	return t;
218 }
219 
220 int rn_debug =  1;
221 struct radix_node *
222 rn_insert(v, head, dupentry, nodes)
223 	caddr_t v;
224 	struct radix_node *head;
225 	int *dupentry;
226 	struct radix_node nodes[2];
227 {
228 	int head_off = head->rn_off, vlen = (int)*((u_char *)v);
229 	register struct radix_node *t = rn_search(v, head);
230 	register caddr_t cp = v + head_off;
231 	register int b;
232 	struct radix_node *tt;
233     	/*
234 	 *find first bit at which v and t->rn_key differ
235 	 */
236     {
237 	register caddr_t cp2 = t->rn_key + head_off;
238 	register int cmp_res;
239 	caddr_t cplim = v + vlen;
240 
241 	while (cp < cplim)
242 		if (*cp2++ != *cp++)
243 			goto on1;
244 	*dupentry = 1;
245 	return t;
246 on1:
247 	*dupentry = 0;
248 	cmp_res = (cp[-1] ^ cp2[-1]) & 0xff;
249 	for (b = (cp - v) << 3; cmp_res; b--)
250 		cmp_res >>= 1;
251     }
252     {
253 	register struct radix_node *p, *x = head;
254 	cp = v;
255 	do {
256 		p = x;
257 		if (cp[x->rn_off] & x->rn_bmask)
258 			x = x->rn_r;
259 		else x = x->rn_l;
260 	} while (b > (unsigned) x->rn_b); /* x->rn_b < b && x->rn_b >= 0 */
261 #ifdef RN_DEBUG
262 	if (rn_debug)
263 		printf("Going In:\n"), traverse(p);
264 #endif
265 	t = rn_newpair(v, b, nodes); tt = t->rn_l;
266 	if ((cp[p->rn_off] & p->rn_bmask) == 0)
267 		p->rn_l = t;
268 	else
269 		p->rn_r = t;
270 	x->rn_p = t; t->rn_p = p; /* frees x, p as temp vars below */
271 	if ((cp[t->rn_off] & t->rn_bmask) == 0) {
272 		t->rn_r = x;
273 	} else {
274 		t->rn_r = tt; t->rn_l = x;
275 	}
276 #ifdef RN_DEBUG
277 	if (rn_debug)
278 		printf("Coming out:\n"), traverse(p);
279 #endif
280     }
281 	return (tt);
282 }
283 
284 struct radix_node *
285 rn_addmask(netmask, search, skip)
286 	caddr_t netmask;
287 	int search, skip;
288 {
289 	register struct radix_node *x;
290 	register caddr_t cp, cplim;
291 	register int b, mlen, j;
292 	int maskduplicated;
293 
294 	mlen = *(u_char *)netmask;
295 	if (search) {
296 		x = rn_search(netmask, rn_maskhead);
297 		mlen = *(u_char *)netmask;
298 		if (Bcmp(netmask, x->rn_key, mlen) == 0)
299 			return (x);
300 	}
301 	R_Malloc(x, struct radix_node *, MAXKEYLEN + 2 * sizeof (*x));
302 	if (x == 0)
303 		return (0);
304 	Bzero(x, MAXKEYLEN + 2 * sizeof (*x));
305 	cp = (caddr_t)(x + 2);
306 	Bcopy(netmask, cp, mlen);
307 	netmask = cp;
308 	x = rn_insert(netmask, rn_maskhead, &maskduplicated, x);
309 	/*
310 	 * Calculate index of mask.
311 	 */
312 	cplim = netmask + mlen;
313 	for (cp = netmask + skip; cp < cplim; cp++)
314 		if (*(u_char *)cp != 0xff)
315 			break;
316 	b = (cp - netmask) << 3;
317 	if (cp != cplim) {
318 		if (*cp != 0) {
319 			gotOddMasks = 1;
320 			for (j = 0x80; j; b++, j >>= 1)
321 				if ((j & *cp) == 0)
322 					break;
323 		}
324 	}
325 	x->rn_b = -1 - b;
326 	return (x);
327 }
328 
329 struct radix_node *
330 rn_addroute(v, netmask, head, treenodes)
331 	caddr_t v, netmask;
332 	struct radix_node *head;
333 	struct radix_node treenodes[2];
334 {
335 	register int j;
336 	register caddr_t cp;
337 	register struct radix_node *t, *x, *tt;
338 	short b = 0, b_leaf;
339 	int vlen = *(u_char *)v, mlen, keyduplicated;
340 	caddr_t cplim; unsigned char *maskp;
341 	struct radix_mask *m, **mp;
342 	struct radix_node *saved_tt;
343 
344 	/*
345 	 * In dealing with non-contiguous masks, there may be
346 	 * many different routes which have the same mask.
347 	 * We will find it useful to have a unique pointer to
348 	 * the mask to speed avoiding duplicate references at
349 	 * nodes and possibly save time in calculating indices.
350 	 */
351 	if (netmask)  {
352 		x = rn_search(netmask, rn_maskhead);
353 		mlen = *(u_char *)netmask;
354 		if (Bcmp(netmask, x->rn_key, mlen) != 0) {
355 			x = rn_addmask(netmask, 0, head->rn_off);
356 			if (x == 0)
357 				return (0);
358 		}
359 		netmask = x->rn_key;
360 		b = -1 - x->rn_b;
361 	}
362 	/*
363 	 * Deal with duplicated keys: attach node to previous instance
364 	 */
365 	saved_tt = tt = rn_insert(v, head, &keyduplicated, treenodes);
366 	if (keyduplicated) {
367 		do {
368 			if (tt->rn_mask == netmask)
369 				return (0);
370 			t = tt;
371 			if (netmask == 0 ||
372 			    (tt->rn_mask && rn_refines(netmask, tt->rn_mask)))
373 				break;
374 		} while (tt = tt->rn_dupedkey);
375 		/*
376 		 * If the mask is not duplicated, we wouldn't
377 		 * find it among possible duplicate key entries
378 		 * anyway, so the above test doesn't hurt.
379 		 *
380 		 * We sort the masks
381 		 * for a duplicated key the same way as in a masklist.
382 		 * It is an unfortunate pain having to relocate
383 		 * the head of the list.
384 		 */
385 		if (tt && t == saved_tt) {
386 			struct	radix_node *xx = x;
387 			/* link in at head of list */
388 			(tt = treenodes)->rn_dupedkey = t;
389 			tt->rn_flags = t->rn_flags;
390 			tt->rn_p = x = t->rn_p;
391 			if (x->rn_l == t) x->rn_l = tt; else x->rn_r = tt;
392 			saved_tt = tt; x = xx;
393 		} else {
394 			(tt = treenodes)->rn_dupedkey = t->rn_dupedkey;
395 			t->rn_dupedkey = tt;
396 		}
397 #ifdef RN_DEBUG
398 		t=tt+1; tt->rn_info = rn_nodenum++; t->rn_info = rn_nodenum++;
399 		tt->rn_twin = t; tt->rn_ybro = rn_clist; rn_clist = tt;
400 #endif
401 		t = saved_tt;
402 		tt->rn_key = (caddr_t) v;
403 		tt->rn_b = -1;
404 		tt->rn_flags = t->rn_flags & ~RNF_ROOT;
405 	}
406 	/*
407 	 * Put mask in tree.
408 	 */
409 	if (netmask) {
410 		tt->rn_mask = netmask;
411 		tt->rn_b = x->rn_b;
412 	}
413 	t = saved_tt->rn_p;
414 	b_leaf = -1 - t->rn_b;
415 	if (t->rn_r == saved_tt) x = t->rn_l; else x = t->rn_r;
416 	/* Promote general routes from below */
417 	if (x->rn_b < 0) {
418 		if (x->rn_mask && (x->rn_b >= b_leaf) && x->rn_mklist == 0) {
419 			MKGet(m);
420 			if (m) {
421 				Bzero(m, sizeof *m);
422 				m->rm_b = x->rn_b;
423 				m->rm_mask = x->rn_mask;
424 				x->rn_mklist = t->rn_mklist = m;
425 			}
426 		}
427 	} else if (x->rn_mklist) {
428 		/*
429 		 * Skip over masks whose index is > that of new node
430 		 */
431 		for (mp = &x->rn_mklist; m = *mp; mp = &m->rm_mklist)
432 			if (m->rm_b >= b_leaf)
433 				break;
434 		t->rn_mklist = m; *mp = 0;
435 	}
436 	/* Add new route to highest possible ancestor's list */
437 	if ((netmask == 0) || (b > t->rn_b ))
438 		return tt; /* can't lift at all */
439 	b_leaf = tt->rn_b;
440 	do {
441 		x = t;
442 		t = t->rn_p;
443 	} while (b <= t->rn_b && x != head);
444 	/*
445 	 * Search through routes associated with node to
446 	 * insert new route according to index.
447 	 * For nodes of equal index, place more specific
448 	 * masks first.
449 	 */
450 	cplim = netmask + mlen;
451 	for (mp = &x->rn_mklist; m = *mp; mp = &m->rm_mklist) {
452 		if (m->rm_b < b_leaf)
453 			continue;
454 		if (m->rm_b > b_leaf)
455 			break;
456 		if (m->rm_mask == netmask) {
457 			m->rm_refs++;
458 			tt->rn_mklist = m;
459 			return tt;
460 		}
461 		if (rn_refines(netmask, m->rm_mask))
462 			break;
463 	}
464 	MKGet(m);
465 	if (m == 0) {
466 		printf("Mask for route not entered\n");
467 		return (tt);
468 	}
469 	Bzero(m, sizeof *m);
470 	m->rm_b = b_leaf;
471 	m->rm_mask = netmask;
472 	m->rm_mklist = *mp;
473 	*mp = m;
474 	tt->rn_mklist = m;
475 	return tt;
476 }
477 
478 struct radix_node *
479 rn_delete(v, netmask, head)
480 	caddr_t v, netmask;
481 	struct radix_node *head;
482 {
483 	register struct radix_node *t, *p, *x = head;
484 	register struct radix_node *tt = rn_search(v, x);
485 	int b, head_off = x->rn_off, vlen =  * (u_char *) v;
486 	struct radix_mask *m, *saved_m, **mp;
487 	struct radix_node *dupedkey, *saved_tt = tt;
488 
489 	if (tt == 0 ||
490 	    Bcmp(v + head_off, tt->rn_key + head_off, vlen - head_off))
491 		return (0);
492 	/*
493 	 * Delete our route from mask lists.
494 	 */
495 	if (dupedkey = tt->rn_dupedkey) {
496 		if (netmask)
497 			netmask = rn_search(netmask, rn_maskhead)->rn_key;
498 		while (tt->rn_mask != netmask)
499 			if ((tt = tt->rn_dupedkey) == 0)
500 				return (0);
501 	}
502 	if (tt->rn_mask == 0 || (saved_m = m = tt->rn_mklist) == 0)
503 		goto on1;
504 	if (m->rm_mask != tt->rn_mask) {
505 		printf("rn_delete: inconsistent annotation\n");
506 		goto on1;
507 	}
508 	if (--m->rm_refs >= 0)
509 		goto on1;
510 	b = -1 - tt->rn_b;
511 	t = saved_tt->rn_p;
512 	if (b > t->rn_b)
513 		goto on1; /* Wasn't lifted at all */
514 	do {
515 		x = t;
516 		t = t->rn_p;
517 	} while (b <= t->rn_b && x != head);
518 	for (mp = &x->rn_mklist; m = *mp; mp = &m->rm_mklist)
519 		if (m == saved_m) {
520 			*mp = m->rm_mklist;
521 			MKFree(m);
522 			break;
523 		}
524 	if (m == 0)
525 		printf("rn_delete: couldn't find our annotation\n");
526 on1:
527 	/*
528 	 * Eliminate us from tree
529 	 */
530 	if (tt->rn_flags & RNF_ROOT)
531 		return (0);
532 #ifdef RN_DEBUG
533 	/* Get us out of the creation list */
534 	for (t = rn_clist; t && t->rn_ybro != tt; t = t->rn_ybro) {}
535 	if (t) t->rn_ybro = tt->rn_ybro;
536 #endif RN_DEBUG
537 	t = tt->rn_p;
538 	if (dupedkey) {
539 		if (tt == saved_tt) {
540 			x = dupedkey; x->rn_p = t;
541 			if (t->rn_l == tt) t->rn_l = x; else t->rn_r = x;
542 		} else {
543 			for (x = p = saved_tt; p && p->rn_dupedkey != tt;)
544 				p = p->rn_dupedkey;
545 			if (p) p->rn_dupedkey = tt->rn_dupedkey;
546 			else printf("rn_delete: couldn't find us\n");
547 		}
548 		t = tt + 1;
549 		if  (t->rn_flags & RNF_ACTIVE) {
550 #ifndef RN_DEBUG
551 			*++x = *t; p = t->rn_p;
552 #else
553 			b = t->rn_info; *++x = *t; t->rn_info = b; p = t->rn_p;
554 #endif
555 			if (p->rn_l == t) p->rn_l = x; else p->rn_r = x;
556 			x->rn_l->rn_p = x; x->rn_r->rn_p = x;
557 		}
558 		goto out;
559 	}
560 	if (t->rn_l == tt) x = t->rn_r; else x = t->rn_l;
561 	p = t->rn_p;
562 	if (p->rn_r == t) p->rn_r = x; else p->rn_l = x;
563 	x->rn_p = p;
564 	/*
565 	 * Demote routes attached to us.
566 	 */
567 	if (t->rn_mklist) {
568 		if (x->rn_b >= 0) {
569 			for (mp = &x->rn_mklist; m = *mp;)
570 				mp = &m->rm_mklist;
571 			*mp = t->rn_mklist;
572 		} else {
573 			for (m = t->rn_mklist; m;) {
574 				struct radix_mask *mm = m->rm_mklist;
575 				if (m == x->rn_mklist && (--(m->rm_refs) < 0)) {
576 					x->rn_mklist = 0;
577 					MKFree(m);
578 				} else
579 					printf("%s %x at %x\n",
580 					    "rn_delete: Orphaned Mask", m, x);
581 				m = mm;
582 			}
583 		}
584 	}
585 	/*
586 	 * We may be holding an active internal node in the tree.
587 	 */
588 	x = tt + 1;
589 	if (t != x) {
590 #ifndef RN_DEBUG
591 		*t = *x;
592 #else
593 		b = t->rn_info; *t = *x; t->rn_info = b;
594 #endif
595 		t->rn_l->rn_p = t; t->rn_r->rn_p = t;
596 		p = x->rn_p;
597 		if (p->rn_l == x) p->rn_l = t; else p->rn_r = t;
598 	}
599 out:
600 	tt->rn_flags &= ~RNF_ACTIVE;
601 	tt[1].rn_flags &= ~RNF_ACTIVE;
602 	return (tt);
603 }
604 
605 rn_walk(rn, f, w)
606 	register struct radix_node *rn;
607 	register int (*f)();
608 	caddr_t  w;
609 {
610 	int error;
611 	struct radix_node *orn;
612 	for (;;) {
613 		while (rn->rn_b >= 0)
614 			rn = rn->rn_l;	/* First time through node, go left */
615 		for (orn = rn; rn; rn = rn->rn_dupedkey) /* Process Leaves */
616 			if (!(rn->rn_flags & RNF_ROOT) && (error = (*f)(rn, w)))
617 				return (error);
618 		for (rn = orn; rn->rn_p->rn_r == rn; ) { /* If at right child */
619 			rn = rn->rn_p;		/* go back up */
620 			if (rn->rn_flags & RNF_ROOT)
621 				return 0;
622 		}
623 		rn = rn->rn_p->rn_r;		/* otherwhise, go right*/
624 	}
625 }
626 char rn_zeros[MAXKEYLEN], rn_ones[MAXKEYLEN];
627 
628 rn_inithead(head, off)
629 	struct radix_node_head **head;
630 	int off;
631 {
632 	register struct radix_node_head *rnh;
633 	register struct radix_node *t, *tt, *ttt;
634 	if (*head)
635 		return (1);
636 	R_Malloc(rnh, struct radix_node_head *, sizeof (*rnh));
637 	if (rnh == 0)
638 		return (0);
639 	Bzero(rnh, sizeof (*rnh));
640 	*head = rnh;
641 	t = rn_newpair(rn_zeros, off, rnh->rnh_nodes);
642 	ttt = rnh->rnh_nodes + 2;
643 	t->rn_r = ttt;
644 	t->rn_p = t;
645 	tt = t->rn_l;
646 	tt->rn_flags = t->rn_flags = RNF_ROOT | RNF_ACTIVE;
647 	tt->rn_b = -1 - off;
648 	*ttt = *tt;
649 	ttt->rn_key = rn_ones;
650 	rnh->rnh_add = rn_addroute;
651 	rnh->rnh_delete = rn_delete;
652 	rnh->rnh_match = rn_match;
653 	rnh->rnh_walk = rn_walk;
654 	rnh->rnh_treetop = t;
655 	if (mask_rnhead == 0) {
656 		caddr_t cp = rn_ones, cplim = rn_ones + MAXKEYLEN;
657 		while (cp < cplim)
658 			*cp++ = -1;
659 		if (rn_inithead(&mask_rnhead, 0) == 0) {
660 			Free(rnh);
661 			*head = 0;
662 			return (0);
663 		}
664 	}
665 	return (1);
666 }
667