Module Name:    src
Committed By:   yamt
Date:           Tue Feb 22 21:31:16 UTC 2011

Added Files:
        src/common/lib/libc/gen: radixtree.c
        src/sys/sys: radixtree.h

Log Message:
an implementation of radix tree.  the idea from linux.


To generate a diff of this commit:
cvs rdiff -u -r0 -r1.1 src/common/lib/libc/gen/radixtree.c
cvs rdiff -u -r0 -r1.1 src/sys/sys/radixtree.h

Please note that diffs are not public domain; they are subject to the
copyright notices on the relevant files.

Added files:

Index: src/common/lib/libc/gen/radixtree.c
diff -u /dev/null src/common/lib/libc/gen/radixtree.c:1.1
--- /dev/null	Tue Feb 22 21:31:16 2011
+++ src/common/lib/libc/gen/radixtree.c	Tue Feb 22 21:31:15 2011
@@ -0,0 +1,1122 @@
+/*	$NetBSD: radixtree.c,v 1.1 2011/02/22 21:31:15 yamt Exp $	*/
+
+/*-
+ * Copyright (c)2011 YAMAMOTO Takashi,
+ * 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.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR 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 AUTHOR 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.
+ */
+
+/*
+ * radix tree
+ *
+ * it's designed to work efficiently with dense index distribution.
+ * the memory consumption (number of necessary intermediate nodes)
+ * heavily depends on index distribution.  basically, more dense index
+ * distribution consumes less nodes per item.
+ * approximately,
+ * the best case: about RADIX_TREE_PTR_PER_NODE items per node.
+ * the worst case: RADIX_TREE_MAX_HEIGHT nodes per item.
+ */
+
+#include <sys/cdefs.h>
+
+#if defined(_KERNEL)
+__KERNEL_RCSID(0, "$NetBSD: radixtree.c,v 1.1 2011/02/22 21:31:15 yamt Exp $");
+#include <sys/param.h>
+#include <sys/null.h>
+#include <sys/pool.h>
+#include <sys/radixtree.h>
+#else /* defined(_KERNEL) */
+__RCSID("$NetBSD: radixtree.c,v 1.1 2011/02/22 21:31:15 yamt Exp $");
+#include <assert.h>
+#include <errno.h>
+#include <stdbool.h>
+#include <stdlib.h>
+#if 1
+#define KASSERT assert
+#else
+#define KASSERT(a)	/* nothing */
+#endif
+/* XXX */
+#if !defined(CTASSERT)
+#define	CTASSERT(x)	/* nothing */
+#endif
+#endif /* defined(_KERNEL) */
+
+#include <sys/radixtree.h>
+
+#define	RADIX_TREE_BITS_PER_HEIGHT	4	/* XXX tune */
+#define	RADIX_TREE_PTR_PER_NODE		(1 << RADIX_TREE_BITS_PER_HEIGHT)
+#define	RADIX_TREE_MAX_HEIGHT		(64 / RADIX_TREE_BITS_PER_HEIGHT)
+CTASSERT((64 % RADIX_TREE_BITS_PER_HEIGHT) == 0);
+
+CTASSERT(((1 << RADIX_TREE_TAG_ID_MAX) & (sizeof(int) - 1)) == 0);
+#define	RADIX_TREE_TAG_MASK	((1 << RADIX_TREE_TAG_ID_MAX) - 1)
+
+static inline void *
+entry_ptr(void *p)
+{
+
+	return (void *)((uintptr_t)p & ~RADIX_TREE_TAG_MASK);
+}
+
+static inline unsigned int
+entry_tagmask(void *p)
+{
+
+	return (uintptr_t)p & RADIX_TREE_TAG_MASK;
+}
+
+static inline void *
+entry_compose(void *p, unsigned int tagmask)
+{
+
+	return (void *)((uintptr_t)p | tagmask);
+}
+
+static inline bool
+entry_match_p(void *p, unsigned int tagmask)
+{
+
+	KASSERT(entry_ptr(p) != NULL || entry_tagmask(p) == 0);
+	if (p == NULL) {
+		return false;
+	}
+	if (tagmask == 0) {
+		return true;
+	}
+	return (entry_tagmask(p) & tagmask) != 0;
+}
+
+static inline unsigned int
+tagid_to_mask(radix_tree_tagid_t id)
+{
+
+	return 1U << id;
+}
+
+/*
+ * radix_tree_node: an intermediate node
+ *
+ * we don't care the type of leaf nodes.  they are just void *.
+ */
+
+struct radix_tree_node {
+	void *n_ptrs[RADIX_TREE_PTR_PER_NODE];
+	unsigned int n_nptrs;	/* # of non-NULL pointers in n_ptrs */
+};
+
+static unsigned int
+any_children_tagmask(struct radix_tree_node *n)
+{
+	unsigned int mask;
+	int i;
+
+	mask = 0;
+	for (i = 0; i < RADIX_TREE_PTR_PER_NODE; i++) {
+		mask |= (unsigned int)(uintptr_t)n->n_ptrs[i];
+	}
+	return mask & RADIX_TREE_TAG_MASK;
+}
+
+/*
+ * p_refs[0].pptr == &t->t_root
+ *	:
+ * p_refs[n].pptr == &(*p_refs[n-1])->n_ptrs[x]
+ *	:
+ *	:
+ * p_refs[t->t_height].pptr == &leaf_pointer
+ */
+
+struct radix_tree_path {
+	struct radix_tree_node_ref {
+		void **pptr;
+	} p_refs[RADIX_TREE_MAX_HEIGHT + 1]; /* +1 for the root ptr */
+	int p_lastidx;
+};
+
+static inline void **
+path_pptr(struct radix_tree *t, struct radix_tree_path *p,
+    unsigned int height)
+{
+
+	KASSERT(height <= t->t_height);
+	return p->p_refs[height].pptr;
+}
+
+static inline struct radix_tree_node *
+path_node(struct radix_tree * t, struct radix_tree_path *p, unsigned int height)
+{
+
+	KASSERT(height <= t->t_height);
+	return entry_ptr(*path_pptr(t, p, height));
+}
+
+static inline unsigned int
+path_idx(struct radix_tree * t, struct radix_tree_path *p, unsigned int height)
+{
+
+	KASSERT(height <= t->t_height);
+	return path_pptr(t, p, height + 1) - path_node(t, p, height)->n_ptrs;
+}
+
+/*
+ * radix_tree_init_tree:
+ *
+ * initialize a tree.
+ */
+
+void
+radix_tree_init_tree(struct radix_tree *t)
+{
+
+	t->t_height = 0;
+	t->t_root = NULL;
+}
+
+/*
+ * radix_tree_init_tree:
+ *
+ * clean up a tree.
+ */
+
+void
+radix_tree_fini_tree(struct radix_tree *t)
+{
+
+	KASSERT(t->t_root == NULL);
+	KASSERT(t->t_height == 0);
+}
+
+#if defined(_KERNEL)
+pool_cache_t radix_tree_node_cache;
+
+static int
+radix_tree_node_ctor(void *dummy, void *item, int flags)
+{
+	struct radix_tree_node *n = item;
+
+	KASSERT(dummy == NULL);
+	memset(n, 0, sizeof(*n));
+	return 0;
+}
+
+/*
+ * radix_tree_init:
+ *
+ * initialize the subsystem.
+ */
+
+void
+radix_tree_init(void)
+{
+
+	radix_tree_node_cache = pool_cache_init(sizeof(struct radix_tree_node),
+	    0, 0, 0, "radix_tree_node", NULL, IPL_NONE, radix_tree_node_ctor,
+	    NULL, NULL);
+	KASSERT(radix_tree_node_cache != NULL);
+}
+#endif /* defined(_KERNEL) */
+
+static bool __unused
+radix_tree_node_clean_p(const struct radix_tree_node *n)
+{
+	unsigned int i;
+
+	if (n->n_nptrs != 0) {
+		return false;
+	}
+	for (i = 0; i < RADIX_TREE_PTR_PER_NODE; i++) {
+		if (n->n_ptrs[i] != NULL) {
+			return false;
+		}
+	}
+	return true;
+}
+
+static struct radix_tree_node *
+radix_tree_alloc_node(void)
+{
+	struct radix_tree_node *n;
+
+#if defined(_KERNEL)
+	n = pool_cache_get(radix_tree_node_cache, PR_NOWAIT);
+#else /* defined(_KERNEL) */
+	n = calloc(1, sizeof(*n));
+#endif /* defined(_KERNEL) */
+	KASSERT(n == NULL || radix_tree_node_clean_p(n));
+	return n;
+}
+
+static void
+radix_tree_free_node(struct radix_tree_node *n)
+{
+
+	KASSERT(radix_tree_node_clean_p(n));
+#if defined(_KERNEL)
+	pool_cache_put(radix_tree_node_cache, n);
+#else /* defined(_KERNEL) */
+	free(n);
+#endif /* defined(_KERNEL) */
+}
+
+static int
+radix_tree_grow(struct radix_tree *t, unsigned int newheight)
+{
+	const unsigned int tagmask = entry_tagmask(t->t_root);
+
+	KASSERT(newheight <= 64 / RADIX_TREE_BITS_PER_HEIGHT);
+	if (t->t_root == NULL) {
+		t->t_height = newheight;
+		return 0;
+	}
+	while (t->t_height < newheight) {
+		struct radix_tree_node *n;
+
+		n = radix_tree_alloc_node();
+		if (n == NULL) {
+			/*
+			 * don't bother to revert our changes.
+			 * the caller will likely retry.
+			 */
+			return ENOMEM;
+		}
+		n->n_nptrs = 1;
+		n->n_ptrs[0] = t->t_root;
+		t->t_root = entry_compose(n, tagmask);
+		t->t_height++;
+	}
+	return 0;
+}
+
+static inline void **
+radix_tree_lookup_ptr(struct radix_tree *t, uint64_t idx,
+    struct radix_tree_path *path, bool alloc, const unsigned int tagmask)
+{
+	struct radix_tree_node *n;
+	int hshift = RADIX_TREE_BITS_PER_HEIGHT * t->t_height;
+	int shift;
+	void **vpp;
+	const uint64_t mask = (UINT64_C(1) << RADIX_TREE_BITS_PER_HEIGHT) - 1;
+	struct radix_tree_node_ref *refs = NULL;
+
+	KASSERT(tagmask == 0 || !alloc);
+	KASSERT(path == NULL || !alloc);
+	vpp = &t->t_root;
+	if (path != NULL) {
+		refs = path->p_refs;
+		refs->pptr = vpp;
+	}
+	n = NULL;
+	for (shift = 64 - RADIX_TREE_BITS_PER_HEIGHT; shift >= 0;) {
+		struct radix_tree_node *c;
+		void *entry;
+		const uint64_t i = (idx >> shift) & mask;
+
+		if (shift >= hshift) {
+			unsigned int newheight;
+
+			KASSERT(vpp == &t->t_root);
+			if (i == 0) {
+				shift -= RADIX_TREE_BITS_PER_HEIGHT;
+				continue;
+			}
+			if (!alloc) {
+				if (path != NULL) {
+					KASSERT((refs - path->p_refs) == 0);
+					path->p_lastidx = 0;
+				}
+				return NULL;
+			}
+			newheight = shift / RADIX_TREE_BITS_PER_HEIGHT + 1;
+			if (radix_tree_grow(t, newheight)) {
+				return NULL;
+			}
+			hshift = RADIX_TREE_BITS_PER_HEIGHT * t->t_height;
+		}
+		entry = *vpp;
+		c = entry_ptr(entry);
+		if (c == NULL ||
+		    (tagmask != 0 &&
+		    (entry_tagmask(entry) & tagmask) == 0)) {
+			if (!alloc) {
+				if (path != NULL) {
+					path->p_lastidx = refs - path->p_refs;
+				}
+				return NULL;
+			}
+			c = radix_tree_alloc_node();
+			if (c == NULL) {
+				return NULL;
+			}
+			*vpp = c;
+			if (n != NULL) {
+				KASSERT(n->n_nptrs < RADIX_TREE_PTR_PER_NODE);
+				n->n_nptrs++;
+			}
+		}
+		n = c;
+		vpp = &n->n_ptrs[i];
+		if (path != NULL) {
+			refs++;
+			refs->pptr = vpp;
+		}
+		shift -= RADIX_TREE_BITS_PER_HEIGHT;
+	}
+	if (alloc) {
+		KASSERT(*vpp == NULL);
+		if (n != NULL) {
+			KASSERT(n->n_nptrs < RADIX_TREE_PTR_PER_NODE);
+			n->n_nptrs++;
+		}
+	}
+	if (path != NULL) {
+		path->p_lastidx = refs - path->p_refs;
+	}
+	return vpp;
+}
+
+/*
+ * radix_tree_insert_node:
+ *
+ * insert the node at idx.
+ * it's illegal to insert NULL.
+ * it's illegal to insert a non-aligned pointer.
+ *
+ * this function returns ENOMEM if necessary memory allocation failed.
+ * otherwise, this function returns 0.
+ *
+ * note that inserting a node can involves memory allocation for intermediate
+ * nodes.  if _KERNEL, it's done with non-blocking IPL_NONE memory allocation.
+ */
+
+int
+radix_tree_insert_node(struct radix_tree *t, uint64_t idx, void *p)
+{
+	void **vpp;
+
+	KASSERT(p != NULL);
+	KASSERT(entry_compose(p, 0) == p);
+	vpp = radix_tree_lookup_ptr(t, idx, NULL, true, 0);
+	if (vpp == NULL) {
+		return ENOMEM;
+	}
+	KASSERT(*vpp == NULL);
+	*vpp = p;
+	return 0;
+}
+
+void *
+radix_tree_replace_node(struct radix_tree *t, uint64_t idx, void *p)
+{
+	void **vpp;
+	void *oldp;
+
+	KASSERT(p != NULL);
+	KASSERT(entry_compose(p, 0) == p);
+	vpp = radix_tree_lookup_ptr(t, idx, NULL, false, 0);
+	KASSERT(vpp != NULL);
+	oldp = *vpp;
+	KASSERT(oldp != NULL);
+	*vpp = entry_compose(p, entry_tagmask(*vpp));
+	return entry_ptr(oldp);
+}
+
+/*
+ * radix_tree_remove_node:
+ *
+ * remove the node at idx.
+ * it's illegal to try to remove a node which has not been inserted.
+ */
+
+void *
+radix_tree_remove_node(struct radix_tree *t, uint64_t idx)
+{
+	struct radix_tree_path path;
+	void **vpp;
+	void *oldp;
+	int i;
+
+	vpp = radix_tree_lookup_ptr(t, idx, &path, false, 0);
+	KASSERT(vpp != NULL);
+	oldp = *vpp;
+	KASSERT(oldp != NULL);
+	KASSERT(path.p_lastidx == t->t_height);
+	KASSERT(vpp == path_pptr(t, &path, path.p_lastidx));
+	*vpp = NULL;
+	for (i = t->t_height - 1; i >= 0; i--) {
+		void *entry;
+		struct radix_tree_node ** const pptr =
+		    (struct radix_tree_node **)path_pptr(t, &path, i);
+		struct radix_tree_node *n;
+
+		KASSERT(pptr != NULL);
+		entry = *pptr;
+		n = entry_ptr(entry);
+		KASSERT(n != NULL);
+		KASSERT(n->n_nptrs > 0);
+		n->n_nptrs--;
+		if (n->n_nptrs > 0) {
+			break;
+		}
+		radix_tree_free_node(n);
+		*pptr = NULL;
+	}
+	/*
+	 * fix up height
+	 */
+	if (i < 0) {
+		KASSERT(t->t_root == NULL);
+		t->t_height = 0;
+	}
+	/*
+	 * update tags
+	 */
+	for (; i >= 0; i--) {
+		void *entry;
+		struct radix_tree_node ** const pptr =
+		    (struct radix_tree_node **)path_pptr(t, &path, i);
+		struct radix_tree_node *n;
+		unsigned int newmask;
+
+		KASSERT(pptr != NULL);
+		entry = *pptr;
+		n = entry_ptr(entry);
+		KASSERT(n != NULL);
+		KASSERT(n->n_nptrs > 0);
+		newmask = any_children_tagmask(n);
+		if (newmask == entry_tagmask(entry)) {
+			break;
+		}
+		*pptr = entry_compose(n, newmask);
+	}
+	/*
+	 * XXX is it worth to try to reduce height?
+	 * if we do that, make radix_tree_grow rollback its change as well.
+	 */
+	return entry_ptr(oldp);
+}
+
+/*
+ * radix_tree_lookup_node:
+ *
+ * returns the node at idx.
+ * returns NULL if nothing is found at idx.
+ */
+
+void *
+radix_tree_lookup_node(struct radix_tree *t, uint64_t idx)
+{
+	void **vpp;
+
+	vpp = radix_tree_lookup_ptr(t, idx, NULL, false, 0);
+	if (vpp == NULL) {
+		return NULL;
+	}
+	return entry_ptr(*vpp);
+}
+
+static inline void
+gang_lookup_init(struct radix_tree *t, uint64_t idx,
+    struct radix_tree_path *path, const unsigned int tagmask)
+{
+	void **vpp;
+
+	vpp = radix_tree_lookup_ptr(t, idx, path, false, tagmask);
+	KASSERT(vpp == NULL ||
+	    vpp == path_pptr(t, path, path->p_lastidx));
+	KASSERT(&t->t_root == path_pptr(t, path, 0));
+}
+
+static inline unsigned int
+gang_lookup_scan(struct radix_tree *t, struct radix_tree_path *path,
+    void **results, unsigned int maxresults, const unsigned int tagmask)
+{
+	void **vpp;
+	int nfound;
+	unsigned int lastidx;
+
+	KASSERT(maxresults > 0);
+	lastidx = path->p_lastidx;
+	if (lastidx == 0) {
+		return 0;
+	}
+	nfound = 0;
+	vpp = path_pptr(t, path, lastidx);
+	while (/*CONSTCOND*/true) {
+		struct radix_tree_node *n;
+		int i;
+
+		if (entry_match_p(*vpp, tagmask)) {
+			KASSERT(lastidx == t->t_height);
+			/*
+			 * record the non-NULL leaf.
+			 */
+			results[nfound] = entry_ptr(*vpp);
+			nfound++;
+			if (nfound == maxresults) {
+				return nfound;
+			}
+		}
+scan_siblings:
+		/*
+		 * try to find the next non-NULL sibling.
+		 */
+		n = path_node(t, path, lastidx - 1);
+		if (*vpp != NULL && n->n_nptrs == 1) {
+			/*
+			 * optimization
+			 */
+			goto no_siblings;
+		}
+		for (i = path_idx(t, path, lastidx - 1) + 1;
+		    i < RADIX_TREE_PTR_PER_NODE;
+		    i++) {
+			if (entry_match_p(n->n_ptrs[i], tagmask)) {
+				vpp = &n->n_ptrs[i];
+				path->p_refs[lastidx].pptr = vpp;
+				KASSERT(path_idx(t, path, lastidx - 1)
+				    == i);
+				break;
+			}
+		}
+		if (i == RADIX_TREE_PTR_PER_NODE) {
+no_siblings:
+			/*
+			 * not found.  go to parent.
+			 */
+			lastidx--;
+			if (lastidx == 0) {
+				return nfound;
+			}
+			vpp = path_pptr(t, path, lastidx);
+			goto scan_siblings;
+		}
+		/*
+		 * descending the left-most child node, upto the leaf or NULL.
+		 */
+		while (entry_match_p(*vpp, tagmask) && lastidx < t->t_height) {
+			n = entry_ptr(*vpp);
+			vpp = &n->n_ptrs[0];
+			lastidx++;
+			path->p_refs[lastidx].pptr = vpp;
+		}
+	}
+}
+
+/*
+ * radix_tree_gang_lookup_node:
+ *
+ * search nodes starting from idx in the ascending order.
+ * results should be an array large enough to hold maxresults pointers.
+ * returns the number of nodes found, up to maxresults.
+ * returning less than maxresults means there are no more nodes.
+ *
+ * the result of this function is semantically equivalent to what could be
+ * obtained by repeated calls of radix_tree_lookup_node with increasing index.
+ * but this function is much faster when node indexes are distributed sparsely.
+ *
+ * note that this function doesn't return exact values of node indexes of
+ * found nodes.  if they are important for a caller, it's the caller's
+ * responsibility to check them, typically by examinining the returned nodes
+ * using some caller-specific knowledge about them.
+ */
+
+unsigned int
+radix_tree_gang_lookup_node(struct radix_tree *t, uint64_t idx,
+    void **results, unsigned int maxresults)
+{
+	struct radix_tree_path path;
+
+	gang_lookup_init(t, idx, &path, 0);
+	return gang_lookup_scan(t, &path, results, maxresults, 0);
+}
+
+/*
+ * radix_tree_gang_lookup_tagged_node:
+ *
+ * same as radix_tree_gang_lookup_node except that this one only returns
+ * nodes tagged with tagid.
+ */
+
+unsigned int
+radix_tree_gang_lookup_tagged_node(struct radix_tree *t, uint64_t idx,
+    void **results, unsigned int maxresults, radix_tree_tagid_t tagid)
+{
+	struct radix_tree_path path;
+	const unsigned int tagmask = tagid_to_mask(tagid);
+
+	gang_lookup_init(t, idx, &path, tagmask);
+	return gang_lookup_scan(t, &path, results, maxresults, tagmask);
+}
+
+bool
+radix_tree_get_tag(struct radix_tree *t, uint64_t idx,
+    radix_tree_tagid_t tagid)
+{
+#if 1
+	const unsigned int tagmask = tagid_to_mask(tagid);
+	void **vpp;
+
+	vpp = radix_tree_lookup_ptr(t, idx, NULL, false, tagmask);
+	if (vpp == NULL) {
+		return false;
+	}
+	KASSERT(*vpp != NULL);
+	return (entry_tagmask(*vpp) & tagmask) != 0;
+#else
+	const unsigned int tagmask = tagid_to_mask(tagid);
+	void **vpp;
+
+	vpp = radix_tree_lookup_ptr(t, idx, NULL, false, 0);
+	KASSERT(vpp != NULL);
+	return (entry_tagmask(*vpp) & tagmask) != 0;
+#endif
+}
+
+void
+radix_tree_set_tag(struct radix_tree *t, uint64_t idx,
+    radix_tree_tagid_t tagid)
+{
+	struct radix_tree_path path;
+	const unsigned int tagmask = tagid_to_mask(tagid);
+	void **vpp;
+	int i;
+
+	vpp = radix_tree_lookup_ptr(t, idx, &path, false, 0);
+	KASSERT(vpp != NULL);
+	KASSERT(*vpp != NULL);
+	KASSERT(path.p_lastidx == t->t_height);
+	KASSERT(vpp == path_pptr(t, &path, path.p_lastidx));
+	for (i = t->t_height; i >= 0; i--) {
+		void ** const pptr = (void **)path_pptr(t, &path, i);
+		void *entry;
+
+		KASSERT(pptr != NULL);
+		entry = *pptr;
+		if ((entry_tagmask(entry) & tagmask) != 0) {
+			break;
+		}
+		*pptr = (void *)((uintptr_t)entry | tagmask);
+	}
+}
+
+void
+radix_tree_clear_tag(struct radix_tree *t, uint64_t idx,
+    radix_tree_tagid_t tagid)
+{
+	struct radix_tree_path path;
+	const unsigned int tagmask = tagid_to_mask(tagid);
+	void **vpp;
+	int i;
+
+	vpp = radix_tree_lookup_ptr(t, idx, &path, false, 0);
+	KASSERT(vpp != NULL);
+	KASSERT(*vpp != NULL);
+	KASSERT(path.p_lastidx == t->t_height);
+	KASSERT(vpp == path_pptr(t, &path, path.p_lastidx));
+	if ((entry_tagmask(*vpp) & tagmask) == 0) {
+		return;
+	}
+	for (i = t->t_height; i >= 0; i--) {
+		void ** const pptr = (void **)path_pptr(t, &path, i);
+		void *entry;
+
+		KASSERT(pptr != NULL);
+		entry = *pptr;
+		KASSERT((entry_tagmask(entry) & tagmask) != 0);
+		*pptr = entry_compose(entry_ptr(entry),
+		    entry_tagmask(entry) & ~tagmask);
+		if (0 < i && i < t->t_height - 1) {
+			struct radix_tree_node *n = path_node(t, &path, i - 1);
+
+			if ((any_children_tagmask(n) & tagmask) != 0) {
+				break;
+			}
+		}
+	}
+}
+
+#if defined(UNITTEST)
+
+#include <inttypes.h>
+#include <stdio.h>
+
+static void
+radix_tree_dump_node(const struct radix_tree *t, void *vp,
+    uint64_t offset, unsigned int height)
+{
+	struct radix_tree_node *n;
+	unsigned int i;
+
+	for (i = 0; i < t->t_height - height; i++) {
+		printf(" ");
+	}
+	if (entry_tagmask(vp) == 0) {
+		printf("[%" PRIu64 "] %p", offset, entry_ptr(vp));
+	} else {
+		printf("[%" PRIu64 "] %p (tagmask=0x%x)", offset, entry_ptr(vp),
+		    entry_tagmask(vp));
+	}
+	if (height == 0) {
+		printf(" (leaf)\n");
+		return;
+	}
+	n = entry_ptr(vp);
+	assert(any_children_tagmask(n) == entry_tagmask(vp));
+	printf(" (%u children)\n", n->n_nptrs);
+	for (i = 0; i < __arraycount(n->n_ptrs); i++) {
+		void *c;
+
+		c = n->n_ptrs[i];
+		if (c == NULL) {
+			continue;
+		}
+		radix_tree_dump_node(t, c,
+		    offset + i * (UINT64_C(1) <<
+		    (RADIX_TREE_BITS_PER_HEIGHT * (height - 1))), height - 1);
+	}
+}
+
+void radix_tree_dump(const struct radix_tree *);
+
+void
+radix_tree_dump(const struct radix_tree *t)
+{
+
+	printf("tree %p height=%u\n", t, t->t_height);
+	radix_tree_dump_node(t, t->t_root, 0, t->t_height);
+}
+
+static void
+test1(void)
+{
+	struct radix_tree s;
+	struct radix_tree *t = &s;
+	void *results[3];
+
+	radix_tree_init_tree(t);
+	radix_tree_dump(t);
+	assert(radix_tree_lookup_node(t, 0) == NULL);
+	assert(radix_tree_lookup_node(t, 1000) == NULL);
+	assert(radix_tree_insert_node(t, 1000, (void *)0xdeadbea0) == 0);
+	radix_tree_dump(t);
+	assert(!radix_tree_get_tag(t, 1000, 0));
+	assert(!radix_tree_get_tag(t, 1000, 1));
+	radix_tree_set_tag(t, 1000, 1);
+	assert(!radix_tree_get_tag(t, 1000, 0));
+	assert(radix_tree_get_tag(t, 1000, 1));
+	radix_tree_dump(t);
+	assert(radix_tree_lookup_node(t, 1000) == (void *)0xdeadbea0);
+	assert(radix_tree_insert_node(t, 0, (void *)0xbea0) == 0);
+	radix_tree_dump(t);
+	assert(radix_tree_lookup_node(t, 0) == (void *)0xbea0);
+	assert(radix_tree_lookup_node(t, 1000) == (void *)0xdeadbea0);
+	assert(radix_tree_insert_node(t, UINT64_C(10000000000), (void *)0xdea0)
+	    == 0);
+	radix_tree_dump(t);
+	assert(radix_tree_lookup_node(t, 0) == (void *)0xbea0);
+	assert(radix_tree_lookup_node(t, 1000) == (void *)0xdeadbea0);
+	assert(radix_tree_lookup_node(t, UINT64_C(10000000000)) ==
+	    (void *)0xdea0);
+	radix_tree_dump(t);
+	assert(!radix_tree_get_tag(t, 0, 1));
+	assert(radix_tree_get_tag(t, 1000, 1));
+	assert(!radix_tree_get_tag(t, UINT64_C(10000000000), 1));
+	radix_tree_set_tag(t, 0, 1);;
+	radix_tree_set_tag(t, UINT64_C(10000000000), 1);
+	radix_tree_dump(t);
+	assert(radix_tree_get_tag(t, 0, 1));
+	assert(radix_tree_get_tag(t, 1000, 1));
+	assert(radix_tree_get_tag(t, UINT64_C(10000000000), 1));
+	radix_tree_clear_tag(t, 0, 1);;
+	radix_tree_clear_tag(t, UINT64_C(10000000000), 1);
+	radix_tree_dump(t);
+	assert(!radix_tree_get_tag(t, 0, 1));
+	assert(radix_tree_get_tag(t, 1000, 1));
+	assert(!radix_tree_get_tag(t, UINT64_C(10000000000), 1));
+	radix_tree_dump(t);
+	assert(radix_tree_replace_node(t, 1000, (void *)0x12345678) ==
+	    (void *)0xdeadbea0);
+	assert(!radix_tree_get_tag(t, 1000, 0));
+	assert(radix_tree_get_tag(t, 1000, 1));
+	assert(radix_tree_gang_lookup_node(t, 0, results, 3) == 3);
+	assert(results[0] == (void *)0xbea0);
+	assert(results[1] == (void *)0x12345678);
+	assert(results[2] == (void *)0xdea0);
+	assert(radix_tree_gang_lookup_node(t, 1, results, 3) == 2);
+	assert(results[0] == (void *)0x12345678);
+	assert(results[1] == (void *)0xdea0);
+	assert(radix_tree_gang_lookup_node(t, 1001, results, 3) == 1);
+	assert(results[0] == (void *)0xdea0);
+	assert(radix_tree_gang_lookup_node(t, UINT64_C(10000000001), results, 3)
+	    == 0);
+	assert(radix_tree_gang_lookup_node(t, UINT64_C(1000000000000), results,
+	    3) == 0);
+	assert(radix_tree_gang_lookup_tagged_node(t, 0, results, 100, 1) == 1);
+	assert(results[0] == (void *)0x12345678);
+	assert(entry_tagmask(t->t_root) != 0);
+	assert(radix_tree_remove_node(t, 1000) == (void *)0x12345678);
+	assert(entry_tagmask(t->t_root) == 0);
+	radix_tree_dump(t);
+	assert(radix_tree_remove_node(t, UINT64_C(10000000000)) ==
+	    (void *)0xdea0);
+	radix_tree_dump(t);
+	assert(radix_tree_remove_node(t, 0) == (void *)0xbea0);
+	radix_tree_dump(t);
+	radix_tree_fini_tree(t);
+}
+
+#include <sys/time.h>
+
+struct testnode {
+	uint64_t idx;
+};
+
+static void
+printops(const char *name, unsigned int n, const struct timeval *stv,
+    const struct timeval *etv)
+{
+	uint64_t s = stv->tv_sec * 1000000 + stv->tv_usec;
+	uint64_t e = etv->tv_sec * 1000000 + etv->tv_usec;
+
+	printf("%lf %s/s\n", (double)n / (e - s) * 1000000, name);
+}
+
+#define	TEST2_GANG_LOOKUP_NODES	16
+
+static bool
+test2_should_tag(unsigned int i, radix_tree_tagid_t tagid)
+{
+
+	if (tagid == 0) {
+		return (i & 0x3) == 0;
+	} else {
+		return (i % 7) == 0;
+	}
+}
+
+static void
+test2(bool dense)
+{
+	struct radix_tree s;
+	struct radix_tree *t = &s;
+	struct testnode *n;
+	unsigned int i;
+	unsigned int nnodes = 100000;
+	unsigned int removed;
+	radix_tree_tagid_t tag;
+	unsigned int ntagged[RADIX_TREE_TAG_ID_MAX];
+	struct testnode *nodes;
+	struct timeval stv;
+	struct timeval etv;
+
+	nodes = malloc(nnodes * sizeof(*nodes));
+	for (tag = 0; tag < RADIX_TREE_TAG_ID_MAX; tag++) {
+		ntagged[tag] = 0;
+	}
+	radix_tree_init_tree(t);
+	for (i = 0; i < nnodes; i++) {
+		n = &nodes[i];
+		n->idx = random();
+		if (sizeof(long) == 4) {
+			n->idx <<= 32;
+			n->idx |= (uint32_t)random();
+		}
+		if (dense) {
+			n->idx %= nnodes * 2;
+		}
+		while (radix_tree_lookup_node(t, n->idx) != NULL) {
+			n->idx++;
+		}
+		radix_tree_insert_node(t, n->idx, n);
+		for (tag = 0; tag < RADIX_TREE_TAG_ID_MAX; tag++) {
+			if (test2_should_tag(i, tag)) {
+				radix_tree_set_tag(t, n->idx, tag);
+				ntagged[tag]++;
+			}
+			assert(test2_should_tag(i, tag) ==
+			    radix_tree_get_tag(t, n->idx, tag));
+		}
+	}
+
+	gettimeofday(&stv, NULL);
+	for (i = 0; i < nnodes; i++) {
+		n = &nodes[i];
+		assert(radix_tree_lookup_node(t, n->idx) == n);
+	}
+	gettimeofday(&etv, NULL);
+	printops("lookup", nnodes, &stv, &etv);
+
+	for (tag = 0; tag < RADIX_TREE_TAG_ID_MAX; tag++) {
+		gettimeofday(&stv, NULL);
+		for (i = 0; i < nnodes; i++) {
+			n = &nodes[i];
+			assert(test2_should_tag(i, tag) ==
+			    radix_tree_get_tag(t, n->idx, tag));
+		}
+		gettimeofday(&etv, NULL);
+		printops("get_tag", ntagged[tag], &stv, &etv);
+	}
+
+	gettimeofday(&stv, NULL);
+	for (i = 0; i < nnodes; i++) {
+		n = &nodes[i];
+		radix_tree_remove_node(t, n->idx);
+	}
+	gettimeofday(&etv, NULL);
+	printops("remove", nnodes, &stv, &etv);
+
+	gettimeofday(&stv, NULL);
+	for (i = 0; i < nnodes; i++) {
+		n = &nodes[i];
+		radix_tree_insert_node(t, n->idx, n);
+	}
+	gettimeofday(&etv, NULL);
+	printops("insert", nnodes, &stv, &etv);
+
+	for (tag = 0; tag < RADIX_TREE_TAG_ID_MAX; tag++) {
+		ntagged[tag] = 0;
+		gettimeofday(&stv, NULL);
+		for (i = 0; i < nnodes; i++) {
+			n = &nodes[i];
+			if (test2_should_tag(i, tag)) {
+				radix_tree_set_tag(t, n->idx, tag);
+				ntagged[tag]++;
+			}
+		}
+		gettimeofday(&etv, NULL);
+		printops("set_tag", ntagged[tag], &stv, &etv);
+	}
+
+	gettimeofday(&stv, NULL);
+	{
+		struct testnode *results[TEST2_GANG_LOOKUP_NODES];
+		uint64_t nextidx;
+		unsigned int nfound;
+		unsigned int total;
+
+		nextidx = 0;
+		total = 0;
+		while ((nfound = radix_tree_gang_lookup_node(t, nextidx,
+		    (void *)results, __arraycount(results))) > 0) {
+			nextidx = results[nfound - 1]->idx + 1;
+			total += nfound;
+		}
+		assert(total == nnodes);
+	}
+	gettimeofday(&etv, NULL);
+	printops("ganglookup", nnodes, &stv, &etv);
+
+	for (tag = 0; tag < RADIX_TREE_TAG_ID_MAX; tag++) {
+		gettimeofday(&stv, NULL);
+		{
+			struct testnode *results[TEST2_GANG_LOOKUP_NODES];
+			uint64_t nextidx;
+			unsigned int nfound;
+			unsigned int total;
+
+			nextidx = 0;
+			total = 0;
+			while ((nfound = radix_tree_gang_lookup_tagged_node(t,
+			    nextidx, (void *)results, __arraycount(results),
+			    tag)) > 0) {
+				nextidx = results[nfound - 1]->idx + 1;
+				total += nfound;
+			}
+			assert(total == ntagged[tag]);
+		}
+		gettimeofday(&etv, NULL);
+		printops("ganglookup_tag", ntagged[tag], &stv, &etv);
+	}
+
+	removed = 0;
+	for (tag = 0; tag < RADIX_TREE_TAG_ID_MAX; tag++) {
+		unsigned int total;
+
+		total = 0;
+		gettimeofday(&stv, NULL);
+		{
+			struct testnode *results[TEST2_GANG_LOOKUP_NODES];
+			uint64_t nextidx;
+			unsigned int nfound;
+
+			nextidx = 0;
+			while ((nfound = radix_tree_gang_lookup_tagged_node(t,
+			    nextidx, (void *)results, __arraycount(results),
+			    tag)) > 0) {
+				for (i = 0; i < nfound; i++) {
+					radix_tree_remove_node(t,
+					    results[i]->idx);
+				}
+				nextidx = results[nfound - 1]->idx + 1;
+				total += nfound;
+			}
+			assert(tag != 0 || total == ntagged[tag]);
+			assert(total <= ntagged[tag]);
+		}
+		gettimeofday(&etv, NULL);
+		printops("ganglookup_tag+remove", total, &stv, &etv);
+		removed += total;
+	}
+
+	gettimeofday(&stv, NULL);
+	{
+		struct testnode *results[TEST2_GANG_LOOKUP_NODES];
+		uint64_t nextidx;
+		unsigned int nfound;
+		unsigned int total;
+
+		nextidx = 0;
+		total = 0;
+		while ((nfound = radix_tree_gang_lookup_node(t, nextidx,
+		    (void *)results, __arraycount(results))) > 0) {
+			for (i = 0; i < nfound; i++) {
+				assert(results[i] == radix_tree_remove_node(t,
+				    results[i]->idx));
+			}
+			nextidx = results[nfound - 1]->idx + 1;
+			total += nfound;
+		}
+		assert(total == nnodes - removed);
+	}
+	gettimeofday(&etv, NULL);
+	printops("ganglookup+remove", nnodes - removed, &stv, &etv);
+
+	radix_tree_fini_tree(t);
+	free(nodes);
+}
+
+int
+main(int argc, char *argv[])
+{
+
+	test1();
+	printf("dense distribution:\n");
+	test2(true);
+	printf("sparse distribution:\n");
+	test2(false);
+	return 0;
+}
+
+#endif /* defined(UNITTEST) */

Index: src/sys/sys/radixtree.h
diff -u /dev/null src/sys/sys/radixtree.h:1.1
--- /dev/null	Tue Feb 22 21:31:16 2011
+++ src/sys/sys/radixtree.h	Tue Feb 22 21:31:15 2011
@@ -0,0 +1,82 @@
+/*	$NetBSD: radixtree.h,v 1.1 2011/02/22 21:31:15 yamt Exp $	*/
+
+/*-
+ * Copyright (c)2011 YAMAMOTO Takashi,
+ * 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.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR 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 AUTHOR 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.
+ */
+
+#if !defined(_SYS_RADIXTREE_H_)
+#define	_SYS_RADIXTREE_H_
+
+struct radix_tree {
+	void *t_root;
+	unsigned int t_height;
+};
+
+#if defined(_KERNEL)
+#include <sys/types.h>
+#else /* defined(_KERNEL) */
+#include <stdbool.h>
+#include <stdint.h>
+#endif /* defined(_KERNEL) */
+
+/*
+ * subsystem
+ */
+
+#if defined(_KERNEL)
+void radix_tree_init(void);
+#endif /* defined(_KERNEL) */
+
+/*
+ * tree
+ */
+
+void radix_tree_init_tree(struct radix_tree *);
+void radix_tree_fini_tree(struct radix_tree *);
+
+/*
+ * node
+ */
+
+int radix_tree_insert_node(struct radix_tree *, uint64_t, void *);
+void *radix_tree_replace_node(struct radix_tree *, uint64_t, void *);
+void *radix_tree_remove_node(struct radix_tree *, uint64_t);
+void *radix_tree_lookup_node(struct radix_tree *, uint64_t);
+unsigned int radix_tree_gang_lookup_node(struct radix_tree *, uint64_t,
+    void **, unsigned int);
+
+/*
+ * tag
+ */
+
+typedef int radix_tree_tagid_t;
+#define	RADIX_TREE_TAG_ID_MAX	2
+bool radix_tree_get_tag(struct radix_tree *, uint64_t, radix_tree_tagid_t);
+void radix_tree_set_tag(struct radix_tree *, uint64_t, radix_tree_tagid_t);
+void radix_tree_clear_tag(struct radix_tree *, uint64_t, radix_tree_tagid_t);
+unsigned int radix_tree_gang_lookup_tagged_node(struct radix_tree *, uint64_t,
+    void **, unsigned int, radix_tree_tagid_t);
+
+#endif /* !defined(_SYS_RADIXTREE_H_) */

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