network/stack/radix.c

/*
 * Copyright 2006, Haiku, Inc. All Rights Reserved.
 * Distributed under the terms of the MIT License.
 */

/*
 * Copyright (c) 1988, 1989, 1993
 *	The Regents of the University of California.  All rights reserved.
 *
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions
 * are met:
 * 1. Redistributions of source code must retain the above copyright
 *    notice, this list of conditions and the following disclaimer.
 * 2. Redistributions in binary form must reproduce the above copyright
 *    notice, this list of conditions and the following disclaimer in the
 *    documentation and/or other materials provided with the distribution.
 * 4. Neither the name of the University nor the names of its contributors
 *    may be used to endorse or promote products derived from this software
 *    without specific prior written permission.
 *
 * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
 * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
 * SUCH DAMAGE.
 */

/*
 * Routines to build and maintain radix trees for routing lookups.
 */

#include "radix.h"

#include <KernelExport.h>

#include <stdlib.h>
#include <string.h>


static int	rn_walktree_from(struct radix_node_head *h, void *a, void *m,
				walktree_f_t *f, void *w);
static int rn_walktree(struct radix_node_head *, walktree_f_t *, void *);
static struct radix_node *rn_insert(void *, struct radix_node_head *, int *,
	     		struct radix_node [2]);
static struct radix_node *rn_newpair(void *, int, struct radix_node[2]);
static struct radix_node *rn_search(void *, struct radix_node *);
static struct radix_node *rn_search_m(void *, struct radix_node *, void *);

static int	max_keylen;
static struct radix_mask *rn_mkfreelist;
static struct radix_node_head *mask_rnhead;
/*
 * Work area -- the following point to 3 buffers of size max_keylen,
 * allocated in this order in a block of memory malloc'ed by rn_init.
 */
static uint8 *rn_zeros, *rn_ones, *addmask_key;

#define MKFree(m) { (m)->rm_mklist = rn_mkfreelist; rn_mkfreelist = (m);}

#define rn_masktop (mask_rnhead->rnh_treetop)

static int	rn_lexobetter(void *m_arg, void *n_arg);
static struct radix_mask *rn_new_radix_mask(struct radix_node *tt,
					struct radix_mask *next);
static int	rn_satisfies_leaf(char *trial, struct radix_node *leaf,
					int skip);

/*
 * The data structure for the keys is a radix tree with one way
 * branching removed.  The index rn_bit at an internal node n represents a bit
 * position to be tested.  The tree is arranged so that all descendants
 * of a node n have keys whose bits all agree up to position rn_bit - 1.
 * (We say the index of n is rn_bit.)
 *
 * There is at least one descendant which has a one bit at position rn_bit,
 * and at least one with a zero there.
 *
 * A route is determined by a pair of key and mask.  We require that the
 * bit-wise logical and of the key and mask to be the key.
 * We define the index of a route to associated with the mask to be
 * the first bit number in the mask where 0 occurs (with bit number 0
 * representing the highest order bit).
 *
 * We say a mask is normal if every bit is 0, past the index of the mask.
 * If a node n has a descendant (k, m) with index(m) == index(n) == rn_bit,
 * and m is a normal mask, then the route applies to every descendant of n.
 * If the index(m) < rn_bit, this implies the trailing last few bits of k
 * before bit b are all 0, (and hence consequently true of every descendant
 * of n), so the route applies to all descendants of the node as well.
 *
 * Similar logic shows that a non-normal mask m such that
 * index(m) <= index(n) could potentially apply to many children of n.
 * Thus, for each non-host route, we attach its mask to a list at an internal
 * node as high in the tree as we can go.
 *
 * The present version of the code makes use of normal routes in short-
 * circuiting an explict mask and compare operation when testing whether
 * a key satisfies a normal route, and also in remembering the unique leaf
 * that governs a subtree.
 */

/*
 * Most of the functions in this code assume that the key/mask arguments
 * are sockaddr-like structures, where the first byte is an u_char
 * indicating the size of the entire structure.
 *
 * To make the assumption more explicit, we use the LEN() macro to access
 * this field. It is safe to pass an expression with side effects
 * to LEN() as the argument is evaluated only once.
 */
#define LEN(x) (*(const u_char *)(x))

/*
 * XXX THIS NEEDS TO BE FIXED
 * In the code, pointers to keys and masks are passed as either
 * 'void *' (because callers use to pass pointers of various kinds), or
 * 'caddr_t' (which is fine for pointer arithmetics, but not very
 * clean when you dereference it to access data). Furthermore, caddr_t
 * is really 'char *', while the natural type to operate on keys and
 * masks would be 'u_char'. This mismatch require a lot of casts and
 * intermediate variables to adapt types that clutter the code.
 */


static int	/* XXX: arbitrary ordering for non-contiguous masks */
rn_lexobetter(void *m_arg, void *n_arg)
{
	register uint8 *mp = m_arg, *np = n_arg, *lim;

	if (LEN(mp) > LEN(np))
		return 1;  /* not really, but need to check longer one first */
	if (LEN(mp) == LEN(np)) {
		for (lim = mp + LEN(mp); mp < lim;) {
			if (*mp++ > *np++)
				return 1;
		}
	}
	return 0;
}


static struct radix_mask *
rn_new_radix_mask(register struct radix_node *tt, register struct radix_mask *next)
{
	register struct radix_mask *m;

	if (rn_mkfreelist) {
		m = rn_mkfreelist;
		rn_mkfreelist = m->rm_mklist;
	} else
		m = (struct radix_mask *)malloc(sizeof(struct radix_mask));
	if (m == 0) {
		dprintf("Mask for route not entered\n");
		return 0;
	}
	memset(m, 0, sizeof *m);
	m->rm_bit = tt->rn_bit;
	m->rm_flags = tt->rn_flags;
	if (tt->rn_flags & RNF_NORMAL)
		m->rm_leaf = tt;
	else
		m->rm_mask = tt->rn_mask;
	m->rm_mklist = next;
	tt->rn_mklist = m;
	return m;
}


/*!
	Search a node in the tree matching the key.
*/
static struct radix_node *
rn_search(void *v_arg, struct radix_node *head)
{
	register struct radix_node *x;
	register caddr_t v;

	for (x = head, v = v_arg; x->rn_bit >= 0;) {
		if (x->rn_bmask & v[x->rn_offset])
			x = x->rn_right;
		else
			x = x->rn_left;
	}
	return x;
}


/*!
	Same as above, but with an additional mask.
	XXX note this function is used only once.
*/
static struct radix_node *
rn_search_m(void *v_arg, struct radix_node *head, void *m_arg)
{
	register struct radix_node *x;
	register caddr_t v = v_arg, m = m_arg;

	for (x = head; x->rn_bit >= 0;) {
		if ((x->rn_bmask & m[x->rn_offset])
			&& (x->rn_bmask & v[x->rn_offset]))
			x = x->rn_right;
		else
			x = x->rn_left;
	}
	return x;
}


static int
rn_satisfies_leaf(char *trial, register struct radix_node *leaf, int skip)
{
	register char *cp = trial, *cp2 = leaf->rn_key, *cp3 = leaf->rn_mask;
	char *cplim;
	int length = min(LEN(cp), LEN(cp2));

	if (cp3 == 0)
		cp3 = rn_ones;
	else
		length = min(length, *(u_char *)cp3);
	cplim = cp + length; cp3 += skip; cp2 += skip;
	for (cp += skip; cp < cplim; cp++, cp2++, cp3++)
		if ((*cp ^ *cp2) & *cp3)
			return 0;
	return 1;
}


/*
 * Whenever we add a new leaf to the tree, we also add a parent node,
 * so we allocate them as an array of two elements: the first one must be
 * the leaf (see RNTORT() in route.c), the second one is the parent.
 * This routine initializes the relevant fields of the nodes, so that
 * the leaf is the left child of the parent node, and both nodes have
 * (almost) all all fields filled as appropriate.
 * (XXX some fields are left unset, see the '#if 0' section).
 * The function returns a pointer to the parent node.
 */

static struct radix_node *
rn_newpair(void *v, int b, struct radix_node nodes[2])
{
	register struct radix_node *tt = nodes, *t = tt + 1;
	t->rn_bit = b;
	t->rn_bmask = 0x80 >> (b & 7);
	t->rn_left = tt;
	t->rn_offset = b >> 3;

#if 0  /* XXX perhaps we should fill these fields as well. */
	t->rn_parent = t->rn_right = NULL;

	tt->rn_mask = NULL;
	tt->rn_dupedkey = NULL;
	tt->rn_bmask = 0;
#endif
	tt->rn_bit = -1;
	tt->rn_key = (caddr_t)v;
	tt->rn_parent = t;
	tt->rn_flags = t->rn_flags = RNF_ACTIVE;
	tt->rn_mklist = t->rn_mklist = 0;
	return t;
}


static struct radix_node *
rn_insert(void *v_arg, struct radix_node_head *head, int *dupentry,
	struct radix_node nodes[2])
{
	uint8 *v = v_arg;
	struct radix_node *top = head->rnh_treetop;
	int head_off = top->rn_offset, vlen = (int)LEN(v);
	register struct radix_node *t = rn_search(v_arg, top);
	register uint8 *cp = v + head_off;
	register int b;
	struct radix_node *tt;
	/*
	 * Find first bit at which v and t->rn_key differ
	 */
    {
		register uint8 *cp2 = t->rn_key + head_off;
		register int cmp_res;
		uint8 *cplim = v + vlen;

		while (cp < cplim) {
			if (*cp2++ != *cp++)
				goto on1;
		}
		*dupentry = 1;
		return t;
	on1:
		*dupentry = 0;
		cmp_res = (cp[-1] ^ cp2[-1]) & 0xff;
		for (b = (cp - v) << 3; cmp_res; b--) {
			cmp_res >>= 1;
		}
    }
    {
		register struct radix_node *p, *x = top;
		cp = v;
		do {
			p = x;
			if (cp[x->rn_offset] & x->rn_bmask)
				x = x->rn_right;
			else
				x = x->rn_left;
		} while (b > (unsigned) x->rn_bit);
					/* x->rn_bit < b && x->rn_bit >= 0 */
		t = rn_newpair(v_arg, b, nodes);
		tt = t->rn_left;
		if ((cp[p->rn_offset] & p->rn_bmask) == 0)
			p->rn_left = t;
		else
			p->rn_right = t;
		x->rn_parent = t;
		t->rn_parent = p; /* frees x, p as temp vars below */
		if ((cp[t->rn_offset] & t->rn_bmask) == 0) {
			t->rn_right = x;
		} else {
			t->rn_right = tt;
			t->rn_left = x;
		}
    }
	return tt;
}


/*!
	This is the same as rn_walktree() except for the parameters and the
	exit.
*/
static int
rn_walktree_from(struct radix_node_head *h, void *a, void *m, walktree_f_t *f, void *w)
{
	int error;
	struct radix_node *base, *next;
	u_char *xa = (u_char *)a;
	u_char *xm = (u_char *)m;
	register struct radix_node *rn, *last = 0 /* shut up gcc */;
	int stopping = 0;
	int lastb;

	/*
	 * rn_search_m is sort-of-open-coded here. We cannot use the
	 * function because we need to keep track of the last node seen.
	 */
	/* printf("about to search\n"); */
	for (rn = h->rnh_treetop; rn->rn_bit >= 0; ) {
		last = rn;
		/* printf("rn_bit %d, rn_bmask %x, xm[rn_offset] %x\n",
		       rn->rn_bit, rn->rn_bmask, xm[rn->rn_offset]); */
		if (!(rn->rn_bmask & xm[rn->rn_offset])) {
			break;
		}
		if (rn->rn_bmask & xa[rn->rn_offset]) {
			rn = rn->rn_right;
		} else {
			rn = rn->rn_left;
		}
	}
	/* printf("done searching\n"); */

	/*
	 * Two cases: either we stepped off the end of our mask,
	 * in which case last == rn, or we reached a leaf, in which
	 * case we want to start from the last node we looked at.
	 * Either way, last is the node we want to start from.
	 */
	rn = last;
	lastb = rn->rn_bit;

	/* printf("rn %p, lastb %d\n", rn, lastb);*/

	/*
	 * This gets complicated because we may delete the node
	 * while applying the function f to it, so we need to calculate
	 * the successor node in advance.
	 */
	while (rn->rn_bit >= 0) {
		rn = rn->rn_left;
	}

	while (!stopping) {
		/* printf("node %p (%d)\n", rn, rn->rn_bit); */
		base = rn;
		/* If at right child go back up, otherwise, go right */
		while (rn->rn_parent->rn_right == rn
			&& !(rn->rn_flags & RNF_ROOT)) {
			rn = rn->rn_parent;

			/* if went up beyond last, stop */
			if (rn->rn_bit <= lastb) {
				stopping = 1;
				/* printf("up too far\n"); */
				/*
				 * XXX we should jump to the 'Process leaves'
				 * part, because the values of 'rn' and 'next'
				 * we compute will not be used. Not a big deal
				 * because this loop will terminate, but it is
				 * inefficient and hard to understand!
				 */
			}
		}

		/*
		 * At the top of the tree, no need to traverse the right
		 * half, prevent the traversal of the entire tree in the
		 * case of default route.
		 */
		if (rn->rn_parent->rn_flags & RNF_ROOT)
			stopping = 1;

		/* Find the next *leaf* since next node might vanish, too */
		for (rn = rn->rn_parent->rn_right; rn->rn_bit >= 0;)
			rn = rn->rn_left;
		next = rn;
		/* Process leaves */
		while ((rn = base) != 0) {
			base = rn->rn_dupedkey;
			/* printf("leaf %p\n", rn); */
			if (!(rn->rn_flags & RNF_ROOT)
			    && (error = (*f)(rn, w)))
				return (error);
		}
		rn = next;

		if (rn->rn_flags & RNF_ROOT) {
			/* printf("root, stopping"); */
			stopping = 1;
		}
	}
	return 0;
}


static int
rn_walktree(struct radix_node_head *h, walktree_f_t *f, void *w)
{
	int error;
	struct radix_node *base, *next;
	register struct radix_node *rn = h->rnh_treetop;
	/*
	 * This gets complicated because we may delete the node
	 * while applying the function f to it, so we need to calculate
	 * the successor node in advance.
	 */
	/* First time through node, go left */
	while (rn->rn_bit >= 0) {
		rn = rn->rn_left;
	}
	for (;;) {
		base = rn;
		/* If at right child go back up, otherwise, go right */
		while (rn->rn_parent->rn_right == rn
			&& (rn->rn_flags & RNF_ROOT) == 0) {
			rn = rn->rn_parent;
		}
		/* Find the next *leaf* since next node might vanish, too */
		for (rn = rn->rn_parent->rn_right; rn->rn_bit >= 0;) {
			rn = rn->rn_left;
		}
		next = rn;
		/* Process leaves */
		while ((rn = base)) {
			base = rn->rn_dupedkey;
			if (!(rn->rn_flags & RNF_ROOT)
			    && (error = (*f)(rn, w)))
				return error;
		}
		rn = next;
		if (rn->rn_flags & RNF_ROOT)
			return 0;
	}
	/* NOTREACHED */
}


//	#pragma mark - public API


struct radix_node *
rn_lookup(void *v_arg, void *m_arg, struct radix_node_head *head)
{
	register struct radix_node *x;
	uint8 *netmask = NULL;

	if (m_arg) {
		x = rn_addmask(m_arg, 1, head->rnh_treetop->rn_offset);
		if (x == 0)
			return 0;
		netmask = x->rn_key;
	}
	x = rn_match(v_arg, head);
	if (x && netmask) {
		while (x && x->rn_mask != netmask)
			x = x->rn_dupedkey;
	}
	return x;
}


struct radix_node *
rn_match(void *v_arg, struct radix_node_head *head)
{
	caddr_t v = v_arg;
	register struct radix_node *t = head->rnh_treetop, *x;
	register caddr_t cp = v, cp2;
	caddr_t cplim;
	struct radix_node *saved_t, *top = t;
	int off = t->rn_offset, vlen = LEN(cp), matched_off;
	register int test, b, rn_bit;

	/*
	 * Open code rn_search(v, top) to avoid overhead of extra
	 * subroutine call.
	 */
	for (; t->rn_bit >= 0; ) {
		if (t->rn_bmask & cp[t->rn_offset])
			t = t->rn_right;
		else
			t = t->rn_left;
	}
	/*
	 * See if we match exactly as a host destination
	 * or at least learn how many bits match, for normal mask finesse.
	 *
	 * It doesn't hurt us to limit how many bytes to check
	 * to the length of the mask, since if it matches we had a genuine
	 * match and the leaf we have is the most specific one anyway;
	 * if it didn't match with a shorter length it would fail
	 * with a long one.  This wins big for class B&C netmasks which
	 * are probably the most common case...
	 */
	if (t->rn_mask)
		vlen = *(u_char *)t->rn_mask;
	cp += off; cp2 = t->rn_key + off; cplim = v + vlen;
	for (; cp < cplim; cp++, cp2++) {
		if (*cp != *cp2)
			goto on1;
	}
	/*
	 * This extra grot is in case we are explicitly asked
	 * to look up the default.  Ugh!
	 *
	 * Never return the root node itself, it seems to cause a
	 * lot of confusion.
	 */
	if (t->rn_flags & RNF_ROOT)
		t = t->rn_dupedkey;
	return t;
on1:
	test = (*cp ^ *cp2) & 0xff; /* find first bit that differs */
	for (b = 7; (test >>= 1) > 0;)
		b--;
	matched_off = cp - v;
	b += matched_off << 3;
	rn_bit = -1 - b;
	/*
	 * If there is a host route in a duped-key chain, it will be first.
	 */
	if ((saved_t = t)->rn_mask == 0)
		t = t->rn_dupedkey;
	for (; t; t = t->rn_dupedkey) {
		/*
		 * Even if we don't match exactly as a host,
		 * we may match if the leaf we wound up at is
		 * a route to a net.
		 */
		if (t->rn_flags & RNF_NORMAL) {
			if (rn_bit <= t->rn_bit)
				return t;
		} else if (rn_satisfies_leaf(v, t, matched_off))
				return t;
	}

	t = saved_t;
	/* start searching up the tree */
	do {
		register struct radix_mask *m;
		t = t->rn_parent;
		m = t->rn_mklist;
		/*
		 * If non-contiguous masks ever become important
		 * we can restore the masking and open coding of
		 * the search and satisfaction test and put the
		 * calculation of "off" back before the "do".
		 */
		while (m) {
			if (m->rm_flags & RNF_NORMAL) {
				if (rn_bit <= m->rm_bit)
					return (m->rm_leaf);
			} else {
				off = min(t->rn_offset, matched_off);
				x = rn_search_m(v, t, m->rm_mask);
				while (x && x->rn_mask != m->rm_mask)
					x = x->rn_dupedkey;
				if (x && rn_satisfies_leaf(v, x, off))
					return x;
			}
			m = m->rm_mklist;
		}
	} while (t != top);

	return 0;
}


struct radix_node *
rn_addmask(void *n_arg, int search, int skip)
{
	uint8 *netmask = (uint8 *)n_arg;
	register struct radix_node *x;
	register uint8 *cp, *cplim;
	register int b = 0, mlen, j;
	int maskduplicated, m0, isnormal;
	struct radix_node *saved_x;
	static int last_zeroed = 0;

	if ((mlen = LEN(netmask)) > max_keylen)
		mlen = max_keylen;
	if (skip == 0)
		skip = 1;
	if (mlen <= skip)
		return mask_rnhead->rnh_nodes;
	if (skip > 1)
		memcpy(addmask_key + 1, rn_ones + 1, skip - 1);
	if ((m0 = mlen) > skip)
		memcpy(addmask_key + skip, netmask + skip, mlen - skip);
	/*
	 * Trim trailing zeroes.
	 */
	for (cp = addmask_key + mlen; (cp > addmask_key) && cp[-1] == 0;)
		cp--;
	mlen = cp - addmask_key;
	if (mlen <= skip) {
		if (m0 >= last_zeroed)
			last_zeroed = mlen;
		return (mask_rnhead->rnh_nodes);
	}
	if (m0 < last_zeroed)
		memset(addmask_key + m0, 0, last_zeroed - m0);
	*addmask_key = last_zeroed = mlen;
	x = rn_search(addmask_key, rn_masktop);
	if (memcmp(addmask_key, x->rn_key, mlen) != 0)
		x = 0;
	if (x || search)
		return x;
	x = (struct radix_node *)calloc(1, max_keylen + 2 * sizeof(*x));
	if ((saved_x = x) == 0)
		return 0;
	netmask = cp = (caddr_t)(x + 2);
	memcpy(cp, addmask_key, mlen);
	x = rn_insert(cp, mask_rnhead, &maskduplicated, x);
	if (maskduplicated) {
		dprintf("rn_addmask: mask impossibly already in tree\n");
		free(saved_x);
		return x;
	}
	/*
	 * Calculate index of mask, and check for normalcy.
	 * First find the first byte with a 0 bit, then if there are
	 * more bits left (remember we already trimmed the trailing 0's),
	 * the pattern must be one of those in normal_chars[], or we have
	 * a non-contiguous mask.
	 */
	cplim = netmask + mlen;
	isnormal = 1;
	for (cp = netmask + skip; (cp < cplim) && *(u_char *)cp == 0xff;) {
		cp++;
	}
	if (cp != cplim) {
		static char normal_chars[] = {
			0, 0x80, 0xc0, 0xe0, 0xf0, 0xf8, 0xfc, 0xfe, 0xff};

		for (j = 0x80; (j & *cp) != 0; j >>= 1)
			b++;
		if (*cp != normal_chars[b] || cp != (cplim - 1))
			isnormal = 0;
	}
	b += (cp - netmask) << 3;
	x->rn_bit = -1 - b;
	if (isnormal)
		x->rn_flags |= RNF_NORMAL;
	return x;
}


struct radix_node *
rn_addroute(void *v_arg, void *n_arg, struct radix_node_head *head,
	struct radix_node treenodes[2])
{
	uint8 *v = (uint8 *)v_arg, *netmask = (uint8 *)n_arg;
	register struct radix_node *t, *x = 0, *tt;
	struct radix_node *saved_tt, *top = head->rnh_treetop;
	short b = 0, b_leaf = 0;
	int keyduplicated;
	uint8 *mmask;
	struct radix_mask *m, **mp;

	/*
	 * In dealing with non-contiguous masks, there may be
	 * many different routes which have the same mask.
	 * We will find it useful to have a unique pointer to
	 * the mask to speed avoiding duplicate references at
	 * nodes and possibly save time in calculating indices.
	 */
	if (netmask)  {
		if ((x = rn_addmask(netmask, 0, top->rn_offset)) == 0)
			return (0);
		b_leaf = x->rn_bit;
		b = -1 - x->rn_bit;
		netmask = x->rn_key;
	}
	/*
	 * Deal with duplicated keys: attach node to previous instance
	 */
	saved_tt = tt = rn_insert(v, head, &keyduplicated, treenodes);
	if (keyduplicated) {
		for (t = tt; tt; t = tt, tt = tt->rn_dupedkey) {
			if (tt->rn_mask == netmask)
				return (0);
			if (netmask == 0 ||
			    (tt->rn_mask &&
			     ((b_leaf < tt->rn_bit) /* index(netmask) > node */
			      || rn_refines(netmask, tt->rn_mask)
			      || rn_lexobetter(netmask, tt->rn_mask))))
				break;
		}
		/*
		 * If the mask is not duplicated, we wouldn't
		 * find it among possible duplicate key entries
		 * anyway, so the above test doesn't hurt.
		 *
		 * We sort the masks for a duplicated key the same way as
		 * in a masklist -- most specific to least specific.
		 * This may require the unfortunate nuisance of relocating
		 * the head of the list.
		 *
		 * We also reverse, or doubly link the list through the
		 * parent pointer.
		 */
		if (tt == saved_tt) {
			struct	radix_node *xx = x;
			/* link in at head of list */
			(tt = treenodes)->rn_dupedkey = t;
			tt->rn_flags = t->rn_flags;
			tt->rn_parent = x = t->rn_parent;
			t->rn_parent = tt;	 		/* parent */
			if (x->rn_left == t)
				x->rn_left = tt;
			else
				x->rn_right = tt;
			saved_tt = tt; x = xx;
		} else {
			(tt = treenodes)->rn_dupedkey = t->rn_dupedkey;
			t->rn_dupedkey = tt;
			tt->rn_parent = t;			/* parent */
			if (tt->rn_dupedkey)			/* parent */
				tt->rn_dupedkey->rn_parent = tt; /* parent */
		}
		tt->rn_key = (caddr_t) v;
		tt->rn_bit = -1;
		tt->rn_flags = RNF_ACTIVE;
	}
	/*
	 * Put mask in tree.
	 */
	if (netmask) {
		tt->rn_mask = netmask;
		tt->rn_bit = x->rn_bit;
		tt->rn_flags |= x->rn_flags & RNF_NORMAL;
	}
	t = saved_tt->rn_parent;
	if (keyduplicated)
		goto on2;
	b_leaf = -1 - t->rn_bit;
	if (t->rn_right == saved_tt)
		x = t->rn_left;
	else
		x = t->rn_right;
	/* Promote general routes from below */
	if (x->rn_bit < 0) {
	    for (mp = &t->rn_mklist; x; x = x->rn_dupedkey)
		if (x->rn_mask && (x->rn_bit >= b_leaf) && x->rn_mklist == 0) {
			*mp = m = rn_new_radix_mask(x, 0);
			if (m)
				mp = &m->rm_mklist;
		}
	} else if (x->rn_mklist) {
		/*
		 * Skip over masks whose index is > that of new node
		 */
		for (mp = &x->rn_mklist; (m = *mp); mp = &m->rm_mklist)
			if (m->rm_bit >= b_leaf)
				break;
		t->rn_mklist = m; *mp = 0;
	}
on2:
	/* Add new route to highest possible ancestor's list */
	if ((netmask == 0) || (b > t->rn_bit ))
		return tt; /* can't lift at all */
	b_leaf = tt->rn_bit;
	do {
		x = t;
		t = t->rn_parent;
	} while (b <= t->rn_bit && x != top);
	/*
	 * Search through routes associated with node to
	 * insert new route according to index.
	 * Need same criteria as when sorting dupedkeys to avoid
	 * double loop on deletion.
	 */
	for (mp = &x->rn_mklist; (m = *mp); mp = &m->rm_mklist) {
		if (m->rm_bit < b_leaf)
			continue;
		if (m->rm_bit > b_leaf)
			break;
		if (m->rm_flags & RNF_NORMAL) {
			mmask = m->rm_leaf->rn_mask;
			if (tt->rn_flags & RNF_NORMAL) {
			    dprintf("Non-unique normal route, mask not entered\n");
				return tt;
			}
		} else
			mmask = m->rm_mask;
		if (mmask == netmask) {
			m->rm_refs++;
			tt->rn_mklist = m;
			return tt;
		}
		if (rn_refines(netmask, mmask)
		    || rn_lexobetter(netmask, mmask))
			break;
	}
	*mp = rn_new_radix_mask(tt, *mp);
	return tt;
}


struct radix_node *
rn_delete(void *v_arg, void *netmask_arg, struct radix_node_head *head)
{
	register struct radix_node *t, *p, *x, *tt;
	struct radix_mask *m, *saved_m, **mp;
	struct radix_node *dupedkey, *saved_tt, *top;
	uint8 *v, *netmask;
	int b, head_off, vlen;

	v = v_arg;
	netmask = netmask_arg;
	x = head->rnh_treetop;
	tt = rn_search(v, x);
	head_off = x->rn_offset;
	vlen =  LEN(v);
	saved_tt = tt;
	top = x;
	if (tt == 0
		|| memcmp(v + head_off, tt->rn_key + head_off, vlen - head_off))
		return 0;
	/*
	 * Delete our route from mask lists.
	 */
	if (netmask) {
		if ((x = rn_addmask(netmask, 1, head_off)) == 0)
			return 0;
		netmask = x->rn_key;
		while (tt->rn_mask != netmask)
			if ((tt = tt->rn_dupedkey) == 0)
				return 0;
	}
	if (tt->rn_mask == 0 || (saved_m = m = tt->rn_mklist) == 0)
		goto on1;
	if (tt->rn_flags & RNF_NORMAL) {
		if (m->rm_leaf != tt || m->rm_refs > 0) {
			dprintf("rn_delete: inconsistent annotation\n");
			return 0;  /* dangling ref could cause disaster */
		}
	} else {
		if (m->rm_mask != tt->rn_mask) {
			dprintf("rn_delete: inconsistent annotation\n");
			goto on1;
		}
		if (--m->rm_refs >= 0)
			goto on1;
	}
	b = -1 - tt->rn_bit;
	t = saved_tt->rn_parent;
	if (b > t->rn_bit)
		goto on1; /* Wasn't lifted at all */
	do {
		x = t;
		t = t->rn_parent;
	} while (b <= t->rn_bit && x != top);
	for (mp = &x->rn_mklist; (m = *mp); mp = &m->rm_mklist)
		if (m == saved_m) {
			*mp = m->rm_mklist;
			MKFree(m);
			break;
		}
	if (m == 0) {
		dprintf("rn_delete: couldn't find our annotation\n");
		if (tt->rn_flags & RNF_NORMAL)
			return 0; /* Dangling ref to us */
	}
on1:
	/*
	 * Eliminate us from tree
	 */
	if (tt->rn_flags & RNF_ROOT)
		return 0;
	t = tt->rn_parent;
	dupedkey = saved_tt->rn_dupedkey;
	if (dupedkey) {
		/*
		 * Here, tt is the deletion target and
		 * saved_tt is the head of the dupekey chain.
		 */
		if (tt == saved_tt) {
			/* remove from head of chain */
			x = dupedkey; x->rn_parent = t;
			if (t->rn_left == tt)
				t->rn_left = x;
			else
				t->rn_right = x;
		} else {
			/* find node in front of tt on the chain */
			for (x = p = saved_tt; p && p->rn_dupedkey != tt;)
				p = p->rn_dupedkey;
			if (p) {
				p->rn_dupedkey = tt->rn_dupedkey;
				if (tt->rn_dupedkey)		/* parent */
					tt->rn_dupedkey->rn_parent = p;
								/* parent */
			} else
				dprintf("rn_delete: couldn't find us\n");
		}
		t = tt + 1;
		if  (t->rn_flags & RNF_ACTIVE) {
			*++x = *t;
			p = t->rn_parent;
			if (p->rn_left == t)
				p->rn_left = x;
			else
				p->rn_right = x;
			x->rn_left->rn_parent = x;
			x->rn_right->rn_parent = x;
		}
		goto out;
	}
	if (t->rn_left == tt)
		x = t->rn_right;
	else
		x = t->rn_left;
	p = t->rn_parent;
	if (p->rn_right == t)
		p->rn_right = x;
	else
		p->rn_left = x;
	x->rn_parent = p;
	/*
	 * Demote routes attached to us.
	 */
	if (t->rn_mklist) {
		if (x->rn_bit >= 0) {
			for (mp = &x->rn_mklist; (m = *mp);)
				mp = &m->rm_mklist;
			*mp = t->rn_mklist;
		} else {
			/* If there are any key,mask pairs in a sibling
			   duped-key chain, some subset will appear sorted
			   in the same order attached to our mklist */
			for (m = t->rn_mklist; m && x; x = x->rn_dupedkey) {
				if (m == x->rn_mklist) {
					struct radix_mask *mm = m->rm_mklist;
					x->rn_mklist = 0;
					if (--(m->rm_refs) < 0)
						MKFree(m);
					m = mm;
				}
			}
			if (m) {
				dprintf("rn_delete: Orphaned Mask %p at %p\n",
				    (void *)m, (void *)x);
			}
		}
	}
	/*
	 * We may be holding an active internal node in the tree.
	 */
	x = tt + 1;
	if (t != x) {
		*t = *x;
		t->rn_left->rn_parent = t;
		t->rn_right->rn_parent = t;
		p = x->rn_parent;
		if (p->rn_left == x)
			p->rn_left = t;
		else
			p->rn_right = t;
	}
out:
	tt->rn_flags &= ~RNF_ACTIVE;
	tt[1].rn_flags &= ~RNF_ACTIVE;
	return tt;
}


int
rn_refines(void *m_arg, void *n_arg)
{
	register caddr_t m = m_arg, n = n_arg;
	register caddr_t lim, lim2 = lim = n + LEN(n);
	int longer = LEN(n++) - (int)LEN(m++);
	int masks_are_equal = 1;

	if (longer > 0)
		lim -= longer;
	while (n < lim) {
		if (*n & ~(*m))
			return 0;
		if (*n++ != *m++)
			masks_are_equal = 0;
	}

	while (n < lim2) {
		if (*n++)
			return 0;
	}

	if (masks_are_equal && (longer < 0)) {
		for (lim2 = m - longer; m < lim2; ) {
			if (*m++)
				return 1;
		}
	}

	return !masks_are_equal;
}


/*!
	Allocate and initialize an empty tree. This has 3 nodes, which are
	part of the radix_node_head (in the order <left,root,right>) and are
	marked RNF_ROOT so they cannot be freed.
	The leaves have all-zero and all-one keys, with significant
	bits starting at 'off'.
	Return 1 on success, 0 on error.
*/
int
rn_inithead(void **head, int off)
{
	register struct radix_node_head *rnh;
	register struct radix_node *t, *tt, *ttt;
	if (*head)
		return 1;
	rnh = (struct radix_node_head *)calloc(1, sizeof(*rnh));
	if (rnh == NULL)
		return 0;

	*head = rnh;
	t = rn_newpair(rn_zeros, off, rnh->rnh_nodes);
	ttt = rnh->rnh_nodes + 2;
	t->rn_right = ttt;
	t->rn_parent = t;
	tt = t->rn_left;	/* ... which in turn is rnh->rnh_nodes */
	tt->rn_flags = t->rn_flags = RNF_ROOT | RNF_ACTIVE;
	tt->rn_bit = -1 - off;
	*ttt = *tt;
	ttt->rn_key = rn_ones;
	rnh->rnh_addaddr = rn_addroute;
	rnh->rnh_deladdr = rn_delete;
	rnh->rnh_matchaddr = rn_match;
	rnh->rnh_lookup = rn_lookup;
	rnh->rnh_walktree = rn_walktree;
	rnh->rnh_walktree_from = rn_walktree_from;
	rnh->rnh_treetop = t;
	return 1;
}


void
rn_init()
{
	char *cp, *cplim;
#ifdef _KERNEL
	struct domain *dom;

	for (dom = domains; dom; dom = dom->dom_next)
		if (dom->dom_maxrtkey > max_keylen)
			max_keylen = dom->dom_maxrtkey;
#endif
	if (max_keylen == 0) {
		dprintf("rn_init: radix functions require max_keylen be set\n");
		return;
	}
	rn_zeros = (char *)malloc(3 * max_keylen);
	if (rn_zeros == NULL)
		panic("rn_init");
	memset(rn_zeros, 0, 3 * max_keylen);
	rn_ones = cp = rn_zeros + max_keylen;
	addmask_key = cplim = rn_ones + max_keylen;
	while (cp < cplim)
		*cp++ = -1;
	if (rn_inithead((void **)(void *)&mask_rnhead, 0) == 0)
		panic("rn_init 2");
}