xref: /freebsd/sys/net/radix.c (revision 7ef62cebc2f965b0f640263e179276928885e33d)
1 /*-
2  * SPDX-License-Identifier: BSD-3-Clause
3  *
4  * Copyright (c) 1988, 1989, 1993
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 the following conditions
9  * are met:
10  * 1. Redistributions of source code must retain the above copyright
11  *    notice, this list of conditions and the following disclaimer.
12  * 2. Redistributions in binary form must reproduce the above copyright
13  *    notice, this list of conditions and the following disclaimer in the
14  *    documentation and/or other materials provided with the distribution.
15  * 3. Neither the name of the University nor the names of its contributors
16  *    may be used to endorse or promote products derived from this software
17  *    without specific prior written permission.
18  *
19  * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
20  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
21  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
22  * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
23  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
24  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
25  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
26  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
27  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
28  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
29  * SUCH DAMAGE.
30  *
31  *	@(#)radix.c	8.5 (Berkeley) 5/19/95
32  * $FreeBSD$
33  */
34 
35 /*
36  * Routines to build and maintain radix trees for routing lookups.
37  */
38 #include <sys/param.h>
39 #ifdef	_KERNEL
40 #include <sys/lock.h>
41 #include <sys/mutex.h>
42 #include <sys/rmlock.h>
43 #include <sys/systm.h>
44 #include <sys/malloc.h>
45 #include <sys/syslog.h>
46 #include <net/radix.h>
47 #else /* !_KERNEL */
48 #include <stdio.h>
49 #include <strings.h>
50 #include <stdlib.h>
51 #define log(x, arg...)	fprintf(stderr, ## arg)
52 #define panic(x)	fprintf(stderr, "PANIC: %s", x), exit(1)
53 #define min(a, b) ((a) < (b) ? (a) : (b) )
54 #include <net/radix.h>
55 #endif /* !_KERNEL */
56 
57 static struct radix_node
58 	 *rn_insert(void *, struct radix_head *, int *,
59 	     struct radix_node [2]),
60 	 *rn_newpair(void *, int, struct radix_node[2]),
61 	 *rn_search(const void *, struct radix_node *),
62 	 *rn_search_m(const void *, struct radix_node *, void *);
63 static struct radix_node *rn_addmask(const void *, struct radix_mask_head *, int,int);
64 
65 static void rn_detachhead_internal(struct radix_head *);
66 
67 #define	RADIX_MAX_KEY_LEN	32
68 
69 static char rn_zeros[RADIX_MAX_KEY_LEN];
70 static char rn_ones[RADIX_MAX_KEY_LEN] = {
71 	-1, -1, -1, -1, -1, -1, -1, -1,
72 	-1, -1, -1, -1, -1, -1, -1, -1,
73 	-1, -1, -1, -1, -1, -1, -1, -1,
74 	-1, -1, -1, -1, -1, -1, -1, -1,
75 };
76 
77 static int	rn_lexobetter(const void *m_arg, const void *n_arg);
78 static struct radix_mask *
79 		rn_new_radix_mask(struct radix_node *tt,
80 		    struct radix_mask *next);
81 static int	rn_satisfies_leaf(const char *trial, struct radix_node *leaf,
82 		    int skip);
83 
84 /*
85  * The data structure for the keys is a radix tree with one way
86  * branching removed.  The index rn_bit at an internal node n represents a bit
87  * position to be tested.  The tree is arranged so that all descendants
88  * of a node n have keys whose bits all agree up to position rn_bit - 1.
89  * (We say the index of n is rn_bit.)
90  *
91  * There is at least one descendant which has a one bit at position rn_bit,
92  * and at least one with a zero there.
93  *
94  * A route is determined by a pair of key and mask.  We require that the
95  * bit-wise logical and of the key and mask to be the key.
96  * We define the index of a route to associated with the mask to be
97  * the first bit number in the mask where 0 occurs (with bit number 0
98  * representing the highest order bit).
99  *
100  * We say a mask is normal if every bit is 0, past the index of the mask.
101  * If a node n has a descendant (k, m) with index(m) == index(n) == rn_bit,
102  * and m is a normal mask, then the route applies to every descendant of n.
103  * If the index(m) < rn_bit, this implies the trailing last few bits of k
104  * before bit b are all 0, (and hence consequently true of every descendant
105  * of n), so the route applies to all descendants of the node as well.
106  *
107  * Similar logic shows that a non-normal mask m such that
108  * index(m) <= index(n) could potentially apply to many children of n.
109  * Thus, for each non-host route, we attach its mask to a list at an internal
110  * node as high in the tree as we can go.
111  *
112  * The present version of the code makes use of normal routes in short-
113  * circuiting an explict mask and compare operation when testing whether
114  * a key satisfies a normal route, and also in remembering the unique leaf
115  * that governs a subtree.
116  */
117 
118 /*
119  * Most of the functions in this code assume that the key/mask arguments
120  * are sockaddr-like structures, where the first byte is an u_char
121  * indicating the size of the entire structure.
122  *
123  * To make the assumption more explicit, we use the LEN() macro to access
124  * this field. It is safe to pass an expression with side effects
125  * to LEN() as the argument is evaluated only once.
126  * We cast the result to int as this is the dominant usage.
127  */
128 #define LEN(x) ( (int) (*(const u_char *)(x)) )
129 
130 /*
131  * XXX THIS NEEDS TO BE FIXED
132  * In the code, pointers to keys and masks are passed as either
133  * 'void *' (because callers use to pass pointers of various kinds), or
134  * 'caddr_t' (which is fine for pointer arithmetics, but not very
135  * clean when you dereference it to access data). Furthermore, caddr_t
136  * is really 'char *', while the natural type to operate on keys and
137  * masks would be 'u_char'. This mismatch require a lot of casts and
138  * intermediate variables to adapt types that clutter the code.
139  */
140 
141 /*
142  * Search a node in the tree matching the key.
143  */
144 static struct radix_node *
145 rn_search(const void *v_arg, struct radix_node *head)
146 {
147 	struct radix_node *x;
148 	c_caddr_t v;
149 
150 	for (x = head, v = v_arg; x->rn_bit >= 0;) {
151 		if (x->rn_bmask & v[x->rn_offset])
152 			x = x->rn_right;
153 		else
154 			x = x->rn_left;
155 	}
156 	return (x);
157 }
158 
159 /*
160  * Same as above, but with an additional mask.
161  * XXX note this function is used only once.
162  */
163 static struct radix_node *
164 rn_search_m(const void *v_arg, struct radix_node *head, void *m_arg)
165 {
166 	struct radix_node *x;
167 	c_caddr_t v = v_arg, m = m_arg;
168 
169 	for (x = head; x->rn_bit >= 0;) {
170 		if ((x->rn_bmask & m[x->rn_offset]) &&
171 		    (x->rn_bmask & v[x->rn_offset]))
172 			x = x->rn_right;
173 		else
174 			x = x->rn_left;
175 	}
176 	return (x);
177 }
178 
179 int
180 rn_refines(const void *m_arg, const void *n_arg)
181 {
182 	c_caddr_t m = m_arg, n = n_arg;
183 	c_caddr_t lim, lim2 = lim = n + LEN(n);
184 	int longer = LEN(n++) - LEN(m++);
185 	int masks_are_equal = 1;
186 
187 	if (longer > 0)
188 		lim -= longer;
189 	while (n < lim) {
190 		if (*n & ~(*m))
191 			return (0);
192 		if (*n++ != *m++)
193 			masks_are_equal = 0;
194 	}
195 	while (n < lim2)
196 		if (*n++)
197 			return (0);
198 	if (masks_are_equal && (longer < 0))
199 		for (lim2 = m - longer; m < lim2; )
200 			if (*m++)
201 				return (1);
202 	return (!masks_are_equal);
203 }
204 
205 /*
206  * Search for exact match in given @head.
207  * Assume host bits are cleared in @v_arg if @m_arg is not NULL
208  * Note that prefixes with /32 or /128 masks are treated differently
209  * from host routes.
210  */
211 struct radix_node *
212 rn_lookup(const void *v_arg, const void *m_arg, struct radix_head *head)
213 {
214 	struct radix_node *x;
215 	caddr_t netmask;
216 
217 	if (m_arg != NULL) {
218 		/*
219 		 * Most common case: search exact prefix/mask
220 		 */
221 		x = rn_addmask(m_arg, head->rnh_masks, 1,
222 		    head->rnh_treetop->rn_offset);
223 		if (x == NULL)
224 			return (NULL);
225 		netmask = x->rn_key;
226 
227 		x = rn_match(v_arg, head);
228 
229 		while (x != NULL && x->rn_mask != netmask)
230 			x = x->rn_dupedkey;
231 
232 		return (x);
233 	}
234 
235 	/*
236 	 * Search for host address.
237 	 */
238 	if ((x = rn_match(v_arg, head)) == NULL)
239 		return (NULL);
240 
241 	/* Check if found key is the same */
242 	if (LEN(x->rn_key) != LEN(v_arg) || bcmp(x->rn_key, v_arg, LEN(v_arg)))
243 		return (NULL);
244 
245 	/* Check if this is not host route */
246 	if (x->rn_mask != NULL)
247 		return (NULL);
248 
249 	return (x);
250 }
251 
252 static int
253 rn_satisfies_leaf(const char *trial, struct radix_node *leaf, int skip)
254 {
255 	const char *cp = trial, *cp2 = leaf->rn_key, *cp3 = leaf->rn_mask;
256 	const char *cplim;
257 	int length = min(LEN(cp), LEN(cp2));
258 
259 	if (cp3 == NULL)
260 		cp3 = rn_ones;
261 	else
262 		length = min(length, LEN(cp3));
263 	cplim = cp + length; cp3 += skip; cp2 += skip;
264 	for (cp += skip; cp < cplim; cp++, cp2++, cp3++)
265 		if ((*cp ^ *cp2) & *cp3)
266 			return (0);
267 	return (1);
268 }
269 
270 /*
271  * Search for longest-prefix match in given @head
272  */
273 struct radix_node *
274 rn_match(const void *v_arg, struct radix_head *head)
275 {
276 	c_caddr_t v = v_arg;
277 	struct radix_node *t = head->rnh_treetop, *x;
278 	c_caddr_t cp = v, cp2;
279 	c_caddr_t cplim;
280 	struct radix_node *saved_t, *top = t;
281 	int off = t->rn_offset, vlen = LEN(cp), matched_off;
282 	int test, b, rn_bit;
283 
284 	/*
285 	 * Open code rn_search(v, top) to avoid overhead of extra
286 	 * subroutine call.
287 	 */
288 	for (; t->rn_bit >= 0; ) {
289 		if (t->rn_bmask & cp[t->rn_offset])
290 			t = t->rn_right;
291 		else
292 			t = t->rn_left;
293 	}
294 	/*
295 	 * See if we match exactly as a host destination
296 	 * or at least learn how many bits match, for normal mask finesse.
297 	 *
298 	 * It doesn't hurt us to limit how many bytes to check
299 	 * to the length of the mask, since if it matches we had a genuine
300 	 * match and the leaf we have is the most specific one anyway;
301 	 * if it didn't match with a shorter length it would fail
302 	 * with a long one.  This wins big for class B&C netmasks which
303 	 * are probably the most common case...
304 	 */
305 	if (t->rn_mask)
306 		vlen = *(u_char *)t->rn_mask;
307 	cp += off; cp2 = t->rn_key + off; cplim = v + vlen;
308 	for (; cp < cplim; cp++, cp2++)
309 		if (*cp != *cp2)
310 			goto on1;
311 	/*
312 	 * This extra grot is in case we are explicitly asked
313 	 * to look up the default.  Ugh!
314 	 *
315 	 * Never return the root node itself, it seems to cause a
316 	 * lot of confusion.
317 	 */
318 	if (t->rn_flags & RNF_ROOT)
319 		t = t->rn_dupedkey;
320 	return (t);
321 on1:
322 	test = (*cp ^ *cp2) & 0xff; /* find first bit that differs */
323 	for (b = 7; (test >>= 1) > 0;)
324 		b--;
325 	matched_off = cp - v;
326 	b += matched_off << 3;
327 	rn_bit = -1 - b;
328 	/*
329 	 * If there is a host route in a duped-key chain, it will be first.
330 	 */
331 	if ((saved_t = t)->rn_mask == 0)
332 		t = t->rn_dupedkey;
333 	for (; t; t = t->rn_dupedkey)
334 		/*
335 		 * Even if we don't match exactly as a host,
336 		 * we may match if the leaf we wound up at is
337 		 * a route to a net.
338 		 */
339 		if (t->rn_flags & RNF_NORMAL) {
340 			if (rn_bit <= t->rn_bit)
341 				return (t);
342 		} else if (rn_satisfies_leaf(v, t, matched_off))
343 				return (t);
344 	t = saved_t;
345 	/* start searching up the tree */
346 	do {
347 		struct radix_mask *m;
348 		t = t->rn_parent;
349 		m = t->rn_mklist;
350 		/*
351 		 * If non-contiguous masks ever become important
352 		 * we can restore the masking and open coding of
353 		 * the search and satisfaction test and put the
354 		 * calculation of "off" back before the "do".
355 		 */
356 		while (m) {
357 			if (m->rm_flags & RNF_NORMAL) {
358 				if (rn_bit <= m->rm_bit)
359 					return (m->rm_leaf);
360 			} else {
361 				off = min(t->rn_offset, matched_off);
362 				x = rn_search_m(v, t, m->rm_mask);
363 				while (x && x->rn_mask != m->rm_mask)
364 					x = x->rn_dupedkey;
365 				if (x && rn_satisfies_leaf(v, x, off))
366 					return (x);
367 			}
368 			m = m->rm_mklist;
369 		}
370 	} while (t != top);
371 	return (0);
372 }
373 
374 /*
375  * Returns the next (wider) prefix for the key defined by @rn
376  *  if exists.
377  */
378 struct radix_node *
379 rn_nextprefix(struct radix_node *rn)
380 {
381 	for (rn = rn->rn_dupedkey; rn != NULL; rn = rn->rn_dupedkey) {
382 		if (!(rn->rn_flags & RNF_ROOT))
383 			return (rn);
384 	}
385 	return (NULL);
386 }
387 
388 #ifdef RN_DEBUG
389 int	rn_nodenum;
390 struct	radix_node *rn_clist;
391 int	rn_saveinfo;
392 int	rn_debug =  1;
393 #endif
394 
395 /*
396  * Whenever we add a new leaf to the tree, we also add a parent node,
397  * so we allocate them as an array of two elements: the first one must be
398  * the leaf (see RNTORT() in route.c), the second one is the parent.
399  * This routine initializes the relevant fields of the nodes, so that
400  * the leaf is the left child of the parent node, and both nodes have
401  * (almost) all all fields filled as appropriate.
402  * (XXX some fields are left unset, see the '#if 0' section).
403  * The function returns a pointer to the parent node.
404  */
405 
406 static struct radix_node *
407 rn_newpair(void *v, int b, struct radix_node nodes[2])
408 {
409 	struct radix_node *tt = nodes, *t = tt + 1;
410 	t->rn_bit = b;
411 	t->rn_bmask = 0x80 >> (b & 7);
412 	t->rn_left = tt;
413 	t->rn_offset = b >> 3;
414 
415 #if 0  /* XXX perhaps we should fill these fields as well. */
416 	t->rn_parent = t->rn_right = NULL;
417 
418 	tt->rn_mask = NULL;
419 	tt->rn_dupedkey = NULL;
420 	tt->rn_bmask = 0;
421 #endif
422 	tt->rn_bit = -1;
423 	tt->rn_key = (caddr_t)v;
424 	tt->rn_parent = t;
425 	tt->rn_flags = t->rn_flags = RNF_ACTIVE;
426 	tt->rn_mklist = t->rn_mklist = 0;
427 #ifdef RN_DEBUG
428 	tt->rn_info = rn_nodenum++; t->rn_info = rn_nodenum++;
429 	tt->rn_twin = t;
430 	tt->rn_ybro = rn_clist;
431 	rn_clist = tt;
432 #endif
433 	return (t);
434 }
435 
436 static struct radix_node *
437 rn_insert(void *v_arg, struct radix_head *head, int *dupentry,
438     struct radix_node nodes[2])
439 {
440 	caddr_t v = v_arg;
441 	struct radix_node *top = head->rnh_treetop;
442 	int head_off = top->rn_offset, vlen = LEN(v);
443 	struct radix_node *t = rn_search(v_arg, top);
444 	caddr_t cp = v + head_off;
445 	unsigned b;
446 	struct radix_node *p, *tt, *x;
447     	/*
448 	 * Find first bit at which v and t->rn_key differ
449 	 */
450 	caddr_t cp2 = t->rn_key + head_off;
451 	int cmp_res;
452 	caddr_t cplim = v + vlen;
453 
454 	while (cp < cplim)
455 		if (*cp2++ != *cp++)
456 			goto on1;
457 	*dupentry = 1;
458 	return (t);
459 on1:
460 	*dupentry = 0;
461 	cmp_res = (cp[-1] ^ cp2[-1]) & 0xff;
462 	for (b = (cp - v) << 3; cmp_res; b--)
463 		cmp_res >>= 1;
464 
465 	x = top;
466 	cp = v;
467 	do {
468 		p = x;
469 		if (cp[x->rn_offset] & x->rn_bmask)
470 			x = x->rn_right;
471 		else
472 			x = x->rn_left;
473 	} while (b > (unsigned) x->rn_bit);
474 				/* x->rn_bit < b && x->rn_bit >= 0 */
475 #ifdef RN_DEBUG
476 	if (rn_debug)
477 		log(LOG_DEBUG, "rn_insert: Going In:\n"), traverse(p);
478 #endif
479 	t = rn_newpair(v_arg, b, nodes);
480 	tt = t->rn_left;
481 	if ((cp[p->rn_offset] & p->rn_bmask) == 0)
482 		p->rn_left = t;
483 	else
484 		p->rn_right = t;
485 	x->rn_parent = t;
486 	t->rn_parent = p; /* frees x, p as temp vars below */
487 	if ((cp[t->rn_offset] & t->rn_bmask) == 0) {
488 		t->rn_right = x;
489 	} else {
490 		t->rn_right = tt;
491 		t->rn_left = x;
492 	}
493 #ifdef RN_DEBUG
494 	if (rn_debug)
495 		log(LOG_DEBUG, "rn_insert: Coming Out:\n"), traverse(p);
496 #endif
497 	return (tt);
498 }
499 
500 static struct radix_node *
501 rn_addmask(const void *n_arg, struct radix_mask_head *maskhead, int search, int skip)
502 {
503 	const unsigned char *netmask = n_arg;
504 	const unsigned char *c, *clim;
505 	unsigned char *cp;
506 	struct radix_node *x;
507 	int b = 0, mlen, j;
508 	int maskduplicated, isnormal;
509 	struct radix_node *saved_x;
510 	unsigned char addmask_key[RADIX_MAX_KEY_LEN];
511 
512 	if ((mlen = LEN(netmask)) > RADIX_MAX_KEY_LEN)
513 		mlen = RADIX_MAX_KEY_LEN;
514 	if (skip == 0)
515 		skip = 1;
516 	if (mlen <= skip)
517 		return (maskhead->mask_nodes);
518 
519 	bzero(addmask_key, RADIX_MAX_KEY_LEN);
520 	if (skip > 1)
521 		bcopy(rn_ones + 1, addmask_key + 1, skip - 1);
522 	bcopy(netmask + skip, addmask_key + skip, mlen - skip);
523 	/*
524 	 * Trim trailing zeroes.
525 	 */
526 	for (cp = addmask_key + mlen; (cp > addmask_key) && cp[-1] == 0;)
527 		cp--;
528 	mlen = cp - addmask_key;
529 	if (mlen <= skip)
530 		return (maskhead->mask_nodes);
531 	*addmask_key = mlen;
532 	x = rn_search(addmask_key, maskhead->head.rnh_treetop);
533 	if (bcmp(addmask_key, x->rn_key, mlen) != 0)
534 		x = NULL;
535 	if (x || search)
536 		return (x);
537 	R_Zalloc(x, struct radix_node *, RADIX_MAX_KEY_LEN + 2 * sizeof (*x));
538 	if ((saved_x = x) == NULL)
539 		return (0);
540 	netmask = cp = (unsigned char *)(x + 2);
541 	bcopy(addmask_key, cp, mlen);
542 	x = rn_insert(cp, &maskhead->head, &maskduplicated, x);
543 	if (maskduplicated) {
544 		log(LOG_ERR, "rn_addmask: mask impossibly already in tree");
545 		R_Free(saved_x);
546 		return (x);
547 	}
548 	/*
549 	 * Calculate index of mask, and check for normalcy.
550 	 * First find the first byte with a 0 bit, then if there are
551 	 * more bits left (remember we already trimmed the trailing 0's),
552 	 * the bits should be contiguous, otherwise we have got
553 	 * a non-contiguous mask.
554 	 */
555 #define	CONTIG(_c)	(((~(_c) + 1) & (_c)) == (unsigned char)(~(_c) + 1))
556 	clim = netmask + mlen;
557 	isnormal = 1;
558 	for (c = netmask + skip; (c < clim) && *(const u_char *)c == 0xff;)
559 		c++;
560 	if (c != clim) {
561 		for (j = 0x80; (j & *c) != 0; j >>= 1)
562 			b++;
563 		if (!CONTIG(*c) || c != (clim - 1))
564 			isnormal = 0;
565 	}
566 	b += (c - netmask) << 3;
567 	x->rn_bit = -1 - b;
568 	if (isnormal)
569 		x->rn_flags |= RNF_NORMAL;
570 	return (x);
571 }
572 
573 static int	/* XXX: arbitrary ordering for non-contiguous masks */
574 rn_lexobetter(const void *m_arg, const void *n_arg)
575 {
576 	const u_char *mp = m_arg, *np = n_arg, *lim;
577 
578 	if (LEN(mp) > LEN(np))
579 		return (1);  /* not really, but need to check longer one first */
580 	if (LEN(mp) == LEN(np))
581 		for (lim = mp + LEN(mp); mp < lim;)
582 			if (*mp++ > *np++)
583 				return (1);
584 	return (0);
585 }
586 
587 static struct radix_mask *
588 rn_new_radix_mask(struct radix_node *tt, struct radix_mask *next)
589 {
590 	struct radix_mask *m;
591 
592 	R_Malloc(m, struct radix_mask *, sizeof (struct radix_mask));
593 	if (m == NULL) {
594 		log(LOG_ERR, "Failed to allocate route mask\n");
595 		return (0);
596 	}
597 	bzero(m, sizeof(*m));
598 	m->rm_bit = tt->rn_bit;
599 	m->rm_flags = tt->rn_flags;
600 	if (tt->rn_flags & RNF_NORMAL)
601 		m->rm_leaf = tt;
602 	else
603 		m->rm_mask = tt->rn_mask;
604 	m->rm_mklist = next;
605 	tt->rn_mklist = m;
606 	return (m);
607 }
608 
609 struct radix_node *
610 rn_addroute(void *v_arg, const void *n_arg, struct radix_head *head,
611     struct radix_node treenodes[2])
612 {
613 	caddr_t v = (caddr_t)v_arg, netmask = NULL;
614 	struct radix_node *t, *x = NULL, *tt;
615 	struct radix_node *saved_tt, *top = head->rnh_treetop;
616 	short b = 0, b_leaf = 0;
617 	int keyduplicated;
618 	caddr_t mmask;
619 	struct radix_mask *m, **mp;
620 
621 	/*
622 	 * In dealing with non-contiguous masks, there may be
623 	 * many different routes which have the same mask.
624 	 * We will find it useful to have a unique pointer to
625 	 * the mask to speed avoiding duplicate references at
626 	 * nodes and possibly save time in calculating indices.
627 	 */
628 	if (n_arg)  {
629 		x = rn_addmask(n_arg, head->rnh_masks, 0, top->rn_offset);
630 		if (x == NULL)
631 			return (0);
632 		b_leaf = x->rn_bit;
633 		b = -1 - x->rn_bit;
634 		netmask = x->rn_key;
635 	}
636 	/*
637 	 * Deal with duplicated keys: attach node to previous instance
638 	 */
639 	saved_tt = tt = rn_insert(v, head, &keyduplicated, treenodes);
640 	if (keyduplicated) {
641 		for (t = tt; tt; t = tt, tt = tt->rn_dupedkey) {
642 			if (tt->rn_mask == netmask)
643 				return (0);
644 			if (netmask == 0 ||
645 			    (tt->rn_mask &&
646 			     ((b_leaf < tt->rn_bit) /* index(netmask) > node */
647 			      || rn_refines(netmask, tt->rn_mask)
648 			      || rn_lexobetter(netmask, tt->rn_mask))))
649 				break;
650 		}
651 		/*
652 		 * If the mask is not duplicated, we wouldn't
653 		 * find it among possible duplicate key entries
654 		 * anyway, so the above test doesn't hurt.
655 		 *
656 		 * We sort the masks for a duplicated key the same way as
657 		 * in a masklist -- most specific to least specific.
658 		 * This may require the unfortunate nuisance of relocating
659 		 * the head of the list.
660 		 *
661 		 * We also reverse, or doubly link the list through the
662 		 * parent pointer.
663 		 */
664 		if (tt == saved_tt) {
665 			struct	radix_node *xx = x;
666 			/* link in at head of list */
667 			(tt = treenodes)->rn_dupedkey = t;
668 			tt->rn_flags = t->rn_flags;
669 			tt->rn_parent = x = t->rn_parent;
670 			t->rn_parent = tt;	 		/* parent */
671 			if (x->rn_left == t)
672 				x->rn_left = tt;
673 			else
674 				x->rn_right = tt;
675 			saved_tt = tt; x = xx;
676 		} else {
677 			(tt = treenodes)->rn_dupedkey = t->rn_dupedkey;
678 			t->rn_dupedkey = tt;
679 			tt->rn_parent = t;			/* parent */
680 			if (tt->rn_dupedkey)			/* parent */
681 				tt->rn_dupedkey->rn_parent = tt; /* parent */
682 		}
683 #ifdef RN_DEBUG
684 		t=tt+1; tt->rn_info = rn_nodenum++; t->rn_info = rn_nodenum++;
685 		tt->rn_twin = t; tt->rn_ybro = rn_clist; rn_clist = tt;
686 #endif
687 		tt->rn_key = (caddr_t) v;
688 		tt->rn_bit = -1;
689 		tt->rn_flags = RNF_ACTIVE;
690 	}
691 	/*
692 	 * Put mask in tree.
693 	 */
694 	if (netmask) {
695 		tt->rn_mask = netmask;
696 		tt->rn_bit = x->rn_bit;
697 		tt->rn_flags |= x->rn_flags & RNF_NORMAL;
698 	}
699 	t = saved_tt->rn_parent;
700 	if (keyduplicated)
701 		goto on2;
702 	b_leaf = -1 - t->rn_bit;
703 	if (t->rn_right == saved_tt)
704 		x = t->rn_left;
705 	else
706 		x = t->rn_right;
707 	/* Promote general routes from below */
708 	if (x->rn_bit < 0) {
709 	    for (mp = &t->rn_mklist; x; x = x->rn_dupedkey)
710 		if (x->rn_mask && (x->rn_bit >= b_leaf) && x->rn_mklist == 0) {
711 			*mp = m = rn_new_radix_mask(x, 0);
712 			if (m)
713 				mp = &m->rm_mklist;
714 		}
715 	} else if (x->rn_mklist) {
716 		/*
717 		 * Skip over masks whose index is > that of new node
718 		 */
719 		for (mp = &x->rn_mklist; (m = *mp); mp = &m->rm_mklist)
720 			if (m->rm_bit >= b_leaf)
721 				break;
722 		t->rn_mklist = m; *mp = NULL;
723 	}
724 on2:
725 	/* Add new route to highest possible ancestor's list */
726 	if ((netmask == 0) || (b > t->rn_bit ))
727 		return (tt); /* can't lift at all */
728 	b_leaf = tt->rn_bit;
729 	do {
730 		x = t;
731 		t = t->rn_parent;
732 	} while (b <= t->rn_bit && x != top);
733 	/*
734 	 * Search through routes associated with node to
735 	 * insert new route according to index.
736 	 * Need same criteria as when sorting dupedkeys to avoid
737 	 * double loop on deletion.
738 	 */
739 	for (mp = &x->rn_mklist; (m = *mp); mp = &m->rm_mklist) {
740 		if (m->rm_bit < b_leaf)
741 			continue;
742 		if (m->rm_bit > b_leaf)
743 			break;
744 		if (m->rm_flags & RNF_NORMAL) {
745 			mmask = m->rm_leaf->rn_mask;
746 			if (tt->rn_flags & RNF_NORMAL) {
747 			    log(LOG_ERR,
748 			        "Non-unique normal route, mask not entered\n");
749 				return (tt);
750 			}
751 		} else
752 			mmask = m->rm_mask;
753 		if (mmask == netmask) {
754 			m->rm_refs++;
755 			tt->rn_mklist = m;
756 			return (tt);
757 		}
758 		if (rn_refines(netmask, mmask)
759 		    || rn_lexobetter(netmask, mmask))
760 			break;
761 	}
762 	*mp = rn_new_radix_mask(tt, *mp);
763 	return (tt);
764 }
765 
766 struct radix_node *
767 rn_delete(const void *v_arg, const void *netmask_arg, struct radix_head *head)
768 {
769 	struct radix_node *t, *p, *x, *tt;
770 	struct radix_mask *m, *saved_m, **mp;
771 	struct radix_node *dupedkey, *saved_tt, *top;
772 	c_caddr_t v;
773 	c_caddr_t netmask;
774 	int b, head_off, vlen;
775 
776 	v = v_arg;
777 	netmask = netmask_arg;
778 	x = head->rnh_treetop;
779 	tt = rn_search(v, x);
780 	head_off = x->rn_offset;
781 	vlen =  LEN(v);
782 	saved_tt = tt;
783 	top = x;
784 	if (tt == NULL ||
785 	    bcmp(v + head_off, tt->rn_key + head_off, vlen - head_off))
786 		return (0);
787 	/*
788 	 * Delete our route from mask lists.
789 	 */
790 	if (netmask) {
791 		x = rn_addmask(netmask, head->rnh_masks, 1, head_off);
792 		if (x == NULL)
793 			return (0);
794 		netmask = x->rn_key;
795 		while (tt->rn_mask != netmask)
796 			if ((tt = tt->rn_dupedkey) == NULL)
797 				return (0);
798 	}
799 	if (tt->rn_mask == 0 || (saved_m = m = tt->rn_mklist) == NULL)
800 		goto on1;
801 	if (tt->rn_flags & RNF_NORMAL) {
802 		if (m->rm_leaf != tt || m->rm_refs > 0) {
803 			log(LOG_ERR, "rn_delete: inconsistent annotation\n");
804 			return (0);  /* dangling ref could cause disaster */
805 		}
806 	} else {
807 		if (m->rm_mask != tt->rn_mask) {
808 			log(LOG_ERR, "rn_delete: inconsistent annotation\n");
809 			goto on1;
810 		}
811 		if (--m->rm_refs >= 0)
812 			goto on1;
813 	}
814 	b = -1 - tt->rn_bit;
815 	t = saved_tt->rn_parent;
816 	if (b > t->rn_bit)
817 		goto on1; /* Wasn't lifted at all */
818 	do {
819 		x = t;
820 		t = t->rn_parent;
821 	} while (b <= t->rn_bit && x != top);
822 	for (mp = &x->rn_mklist; (m = *mp); mp = &m->rm_mklist)
823 		if (m == saved_m) {
824 			*mp = m->rm_mklist;
825 			R_Free(m);
826 			break;
827 		}
828 	if (m == NULL) {
829 		log(LOG_ERR, "rn_delete: couldn't find our annotation\n");
830 		if (tt->rn_flags & RNF_NORMAL)
831 			return (0); /* Dangling ref to us */
832 	}
833 on1:
834 	/*
835 	 * Eliminate us from tree
836 	 */
837 	if (tt->rn_flags & RNF_ROOT)
838 		return (0);
839 #ifdef RN_DEBUG
840 	/* Get us out of the creation list */
841 	for (t = rn_clist; t && t->rn_ybro != tt; t = t->rn_ybro) {}
842 	if (t) t->rn_ybro = tt->rn_ybro;
843 #endif
844 	t = tt->rn_parent;
845 	dupedkey = saved_tt->rn_dupedkey;
846 	if (dupedkey) {
847 		/*
848 		 * Here, tt is the deletion target and
849 		 * saved_tt is the head of the dupekey chain.
850 		 */
851 		if (tt == saved_tt) {
852 			/* remove from head of chain */
853 			x = dupedkey; x->rn_parent = t;
854 			if (t->rn_left == tt)
855 				t->rn_left = x;
856 			else
857 				t->rn_right = x;
858 		} else {
859 			/* find node in front of tt on the chain */
860 			for (x = p = saved_tt; p && p->rn_dupedkey != tt;)
861 				p = p->rn_dupedkey;
862 			if (p) {
863 				p->rn_dupedkey = tt->rn_dupedkey;
864 				if (tt->rn_dupedkey)		/* parent */
865 					tt->rn_dupedkey->rn_parent = p;
866 								/* parent */
867 			} else log(LOG_ERR, "rn_delete: couldn't find us\n");
868 		}
869 		t = tt + 1;
870 		if  (t->rn_flags & RNF_ACTIVE) {
871 #ifndef RN_DEBUG
872 			*++x = *t;
873 			p = t->rn_parent;
874 #else
875 			b = t->rn_info;
876 			*++x = *t;
877 			t->rn_info = b;
878 			p = t->rn_parent;
879 #endif
880 			if (p->rn_left == t)
881 				p->rn_left = x;
882 			else
883 				p->rn_right = x;
884 			x->rn_left->rn_parent = x;
885 			x->rn_right->rn_parent = x;
886 		}
887 		goto out;
888 	}
889 	if (t->rn_left == tt)
890 		x = t->rn_right;
891 	else
892 		x = t->rn_left;
893 	p = t->rn_parent;
894 	if (p->rn_right == t)
895 		p->rn_right = x;
896 	else
897 		p->rn_left = x;
898 	x->rn_parent = p;
899 	/*
900 	 * Demote routes attached to us.
901 	 */
902 	if (t->rn_mklist) {
903 		if (x->rn_bit >= 0) {
904 			for (mp = &x->rn_mklist; (m = *mp);)
905 				mp = &m->rm_mklist;
906 			*mp = t->rn_mklist;
907 		} else {
908 			/* If there are any key,mask pairs in a sibling
909 			   duped-key chain, some subset will appear sorted
910 			   in the same order attached to our mklist */
911 			for (m = t->rn_mklist; m && x; x = x->rn_dupedkey)
912 				if (m == x->rn_mklist) {
913 					struct radix_mask *mm = m->rm_mklist;
914 					x->rn_mklist = 0;
915 					if (--(m->rm_refs) < 0)
916 						R_Free(m);
917 					m = mm;
918 				}
919 			if (m)
920 				log(LOG_ERR,
921 				    "rn_delete: Orphaned Mask %p at %p\n",
922 				    m, x);
923 		}
924 	}
925 	/*
926 	 * We may be holding an active internal node in the tree.
927 	 */
928 	x = tt + 1;
929 	if (t != x) {
930 #ifndef RN_DEBUG
931 		*t = *x;
932 #else
933 		b = t->rn_info;
934 		*t = *x;
935 		t->rn_info = b;
936 #endif
937 		t->rn_left->rn_parent = t;
938 		t->rn_right->rn_parent = t;
939 		p = x->rn_parent;
940 		if (p->rn_left == x)
941 			p->rn_left = t;
942 		else
943 			p->rn_right = t;
944 	}
945 out:
946 	tt->rn_flags &= ~RNF_ACTIVE;
947 	tt[1].rn_flags &= ~RNF_ACTIVE;
948 	return (tt);
949 }
950 
951 /*
952  * This is the same as rn_walktree() except for the parameters and the
953  * exit.
954  */
955 int
956 rn_walktree_from(struct radix_head *h, void *a, void *m,
957     walktree_f_t *f, void *w)
958 {
959 	int error;
960 	struct radix_node *base, *next;
961 	u_char *xa = (u_char *)a;
962 	u_char *xm = (u_char *)m;
963 	struct radix_node *rn, *last = NULL; /* shut up gcc */
964 	int stopping = 0;
965 	int lastb;
966 
967 	KASSERT(m != NULL, ("%s: mask needs to be specified", __func__));
968 
969 	/*
970 	 * rn_search_m is sort-of-open-coded here. We cannot use the
971 	 * function because we need to keep track of the last node seen.
972 	 */
973 	/* printf("about to search\n"); */
974 	for (rn = h->rnh_treetop; rn->rn_bit >= 0; ) {
975 		last = rn;
976 		/* printf("rn_bit %d, rn_bmask %x, xm[rn_offset] %x\n",
977 		       rn->rn_bit, rn->rn_bmask, xm[rn->rn_offset]); */
978 		if (!(rn->rn_bmask & xm[rn->rn_offset])) {
979 			break;
980 		}
981 		if (rn->rn_bmask & xa[rn->rn_offset]) {
982 			rn = rn->rn_right;
983 		} else {
984 			rn = rn->rn_left;
985 		}
986 	}
987 	/* printf("done searching\n"); */
988 
989 	/*
990 	 * Two cases: either we stepped off the end of our mask,
991 	 * in which case last == rn, or we reached a leaf, in which
992 	 * case we want to start from the leaf.
993 	 */
994 	if (rn->rn_bit >= 0)
995 		rn = last;
996 	lastb = last->rn_bit;
997 
998 	/* printf("rn %p, lastb %d\n", rn, lastb);*/
999 
1000 	/*
1001 	 * This gets complicated because we may delete the node
1002 	 * while applying the function f to it, so we need to calculate
1003 	 * the successor node in advance.
1004 	 */
1005 	while (rn->rn_bit >= 0)
1006 		rn = rn->rn_left;
1007 
1008 	while (!stopping) {
1009 		/* printf("node %p (%d)\n", rn, rn->rn_bit); */
1010 		base = rn;
1011 		/* If at right child go back up, otherwise, go right */
1012 		while (rn->rn_parent->rn_right == rn
1013 		       && !(rn->rn_flags & RNF_ROOT)) {
1014 			rn = rn->rn_parent;
1015 
1016 			/* if went up beyond last, stop */
1017 			if (rn->rn_bit <= lastb) {
1018 				stopping = 1;
1019 				/* printf("up too far\n"); */
1020 				/*
1021 				 * XXX we should jump to the 'Process leaves'
1022 				 * part, because the values of 'rn' and 'next'
1023 				 * we compute will not be used. Not a big deal
1024 				 * because this loop will terminate, but it is
1025 				 * inefficient and hard to understand!
1026 				 */
1027 			}
1028 		}
1029 
1030 		/*
1031 		 * At the top of the tree, no need to traverse the right
1032 		 * half, prevent the traversal of the entire tree in the
1033 		 * case of default route.
1034 		 */
1035 		if (rn->rn_parent->rn_flags & RNF_ROOT)
1036 			stopping = 1;
1037 
1038 		/* Find the next *leaf* since next node might vanish, too */
1039 		for (rn = rn->rn_parent->rn_right; rn->rn_bit >= 0;)
1040 			rn = rn->rn_left;
1041 		next = rn;
1042 		/* Process leaves */
1043 		while ((rn = base) != NULL) {
1044 			base = rn->rn_dupedkey;
1045 			/* printf("leaf %p\n", rn); */
1046 			if (!(rn->rn_flags & RNF_ROOT)
1047 			    && (error = (*f)(rn, w)))
1048 				return (error);
1049 		}
1050 		rn = next;
1051 
1052 		if (rn->rn_flags & RNF_ROOT) {
1053 			/* printf("root, stopping"); */
1054 			stopping = 1;
1055 		}
1056 	}
1057 	return (0);
1058 }
1059 
1060 int
1061 rn_walktree(struct radix_head *h, walktree_f_t *f, void *w)
1062 {
1063 	int error;
1064 	struct radix_node *base, *next;
1065 	struct radix_node *rn = h->rnh_treetop;
1066 	/*
1067 	 * This gets complicated because we may delete the node
1068 	 * while applying the function f to it, so we need to calculate
1069 	 * the successor node in advance.
1070 	 */
1071 
1072 	/* First time through node, go left */
1073 	while (rn->rn_bit >= 0)
1074 		rn = rn->rn_left;
1075 	for (;;) {
1076 		base = rn;
1077 		/* If at right child go back up, otherwise, go right */
1078 		while (rn->rn_parent->rn_right == rn
1079 		       && (rn->rn_flags & RNF_ROOT) == 0)
1080 			rn = rn->rn_parent;
1081 		/* Find the next *leaf* since next node might vanish, too */
1082 		for (rn = rn->rn_parent->rn_right; rn->rn_bit >= 0;)
1083 			rn = rn->rn_left;
1084 		next = rn;
1085 		/* Process leaves */
1086 		while ((rn = base)) {
1087 			base = rn->rn_dupedkey;
1088 			if (!(rn->rn_flags & RNF_ROOT)
1089 			    && (error = (*f)(rn, w)))
1090 				return (error);
1091 		}
1092 		rn = next;
1093 		if (rn->rn_flags & RNF_ROOT)
1094 			return (0);
1095 	}
1096 	/* NOTREACHED */
1097 }
1098 
1099 /*
1100  * Initialize an empty tree. This has 3 nodes, which are passed
1101  * via base_nodes (in the order <left,root,right>) and are
1102  * marked RNF_ROOT so they cannot be freed.
1103  * The leaves have all-zero and all-one keys, with significant
1104  * bits starting at 'off'.
1105  */
1106 void
1107 rn_inithead_internal(struct radix_head *rh, struct radix_node *base_nodes, int off)
1108 {
1109 	struct radix_node *t, *tt, *ttt;
1110 
1111 	t = rn_newpair(rn_zeros, off, base_nodes);
1112 	ttt = base_nodes + 2;
1113 	t->rn_right = ttt;
1114 	t->rn_parent = t;
1115 	tt = t->rn_left;	/* ... which in turn is base_nodes */
1116 	tt->rn_flags = t->rn_flags = RNF_ROOT | RNF_ACTIVE;
1117 	tt->rn_bit = -1 - off;
1118 	*ttt = *tt;
1119 	ttt->rn_key = rn_ones;
1120 
1121 	rh->rnh_treetop = t;
1122 }
1123 
1124 static void
1125 rn_detachhead_internal(struct radix_head *head)
1126 {
1127 
1128 	KASSERT((head != NULL),
1129 	    ("%s: head already freed", __func__));
1130 
1131 	/* Free <left,root,right> nodes. */
1132 	R_Free(head);
1133 }
1134 
1135 /* Functions used by 'struct radix_node_head' users */
1136 
1137 int
1138 rn_inithead(void **head, int off)
1139 {
1140 	struct radix_node_head *rnh;
1141 	struct radix_mask_head *rmh;
1142 
1143 	rnh = *head;
1144 	rmh = NULL;
1145 
1146 	if (*head != NULL)
1147 		return (1);
1148 
1149 	R_Zalloc(rnh, struct radix_node_head *, sizeof (*rnh));
1150 	R_Zalloc(rmh, struct radix_mask_head *, sizeof (*rmh));
1151 	if (rnh == NULL || rmh == NULL) {
1152 		if (rnh != NULL)
1153 			R_Free(rnh);
1154 		if (rmh != NULL)
1155 			R_Free(rmh);
1156 		return (0);
1157 	}
1158 
1159 	/* Init trees */
1160 	rn_inithead_internal(&rnh->rh, rnh->rnh_nodes, off);
1161 	rn_inithead_internal(&rmh->head, rmh->mask_nodes, 0);
1162 	*head = rnh;
1163 	rnh->rh.rnh_masks = rmh;
1164 
1165 	/* Finally, set base callbacks */
1166 	rnh->rnh_addaddr = rn_addroute;
1167 	rnh->rnh_deladdr = rn_delete;
1168 	rnh->rnh_matchaddr = rn_match;
1169 	rnh->rnh_lookup = rn_lookup;
1170 	rnh->rnh_walktree = rn_walktree;
1171 	rnh->rnh_walktree_from = rn_walktree_from;
1172 
1173 	return (1);
1174 }
1175 
1176 static int
1177 rn_freeentry(struct radix_node *rn, void *arg)
1178 {
1179 	struct radix_head * const rnh = arg;
1180 	struct radix_node *x;
1181 
1182 	x = (struct radix_node *)rn_delete(rn + 2, NULL, rnh);
1183 	if (x != NULL)
1184 		R_Free(x);
1185 	return (0);
1186 }
1187 
1188 int
1189 rn_detachhead(void **head)
1190 {
1191 	struct radix_node_head *rnh;
1192 
1193 	KASSERT((head != NULL && *head != NULL),
1194 	    ("%s: head already freed", __func__));
1195 
1196 	rnh = (struct radix_node_head *)(*head);
1197 
1198 	rn_walktree(&rnh->rh.rnh_masks->head, rn_freeentry, rnh->rh.rnh_masks);
1199 	rn_detachhead_internal(&rnh->rh.rnh_masks->head);
1200 	rn_detachhead_internal(&rnh->rh);
1201 
1202 	*head = NULL;
1203 
1204 	return (1);
1205 }
1206