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/*-
*******************************************************************************
*
* Copyright (C) 2008-2010 Jason Evans <jasone@FreeBSD.org>.
* 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(s), this list of conditions and the following disclaimer
* unmodified other than the allowable addition of one or more
* copyright notices.
* 2. Redistributions in binary form must reproduce the above copyright
* notice(s), 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 COPYRIGHT HOLDER(S) ``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 COPYRIGHT HOLDER(S) 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.
*
******************************************************************************
*
* cpp macro implementation of left-leaning 2-3 red-black trees. Parent
* pointers are not used, and color bits are stored in the least significant
* bit of right-child pointers (if RB_COMPACT is defined), thus making node
* linkage as compact as is possible for red-black trees.
*
* Usage:
*
* #include <stdint.h>
* #include <stdbool.h>
* #define NDEBUG // (Optional, see assert(3).)
* #include <assert.h>
* #define RB_COMPACT // (Optional, embed color bits in right-child pointers.)
* #include <rb.h>
* ...
*
*******************************************************************************
*/
#ifndef RB_H_
#define RB_H_
/*#include <sys/cdefs.h>*/
/*__FBSDID("$FreeBSD: src/lib/libc/stdlib/rb.h,v 1.5 2010/02/28 22:57:13 jasone Exp $");*/
#ifdef RB_COMPACT
/* Node structure. */
#define rb_node(a_type) \
struct { \
a_type *rbn_left; \
a_type *rbn_right_red; \
}
#else
#define rb_node(a_type) \
struct { \
a_type *rbn_left; \
a_type *rbn_right; \
bool rbn_red; \
}
#endif
/* Root structure. */
#define rb_tree(a_type) \
struct { \
a_type *rbt_root; \
a_type rbt_nil; \
}
/* Left accessors. */
#define rbtn_left_get(a_type, a_field, a_node) \
((a_node)->a_field.rbn_left)
#define rbtn_left_set(a_type, a_field, a_node, a_left) do { \
(a_node)->a_field.rbn_left = a_left; \
} while (0)
#ifdef RB_COMPACT
/* Right accessors. */
#define rbtn_right_get(a_type, a_field, a_node) \
((a_type *) (((intptr_t) (a_node)->a_field.rbn_right_red) \
& ((ssize_t)-2)))
#define rbtn_right_set(a_type, a_field, a_node, a_right) do { \
(a_node)->a_field.rbn_right_red = (a_type *) (((uintptr_t) a_right) \
| (((uintptr_t) (a_node)->a_field.rbn_right_red) & ((size_t)1))); \
} while (0)
/* Color accessors. */
#define rbtn_red_get(a_type, a_field, a_node) \
((bool) (((uintptr_t) (a_node)->a_field.rbn_right_red) \
& ((size_t)1)))
#define rbtn_color_set(a_type, a_field, a_node, a_red) do { \
(a_node)->a_field.rbn_right_red = (a_type *) ((((intptr_t) \
(a_node)->a_field.rbn_right_red) & ((ssize_t)-2)) \
| ((ssize_t)a_red)); \
} while (0)
#define rbtn_red_set(a_type, a_field, a_node) do { \
(a_node)->a_field.rbn_right_red = (a_type *) (((uintptr_t) \
(a_node)->a_field.rbn_right_red) | ((size_t)1)); \
} while (0)
#define rbtn_black_set(a_type, a_field, a_node) do { \
(a_node)->a_field.rbn_right_red = (a_type *) (((intptr_t) \
(a_node)->a_field.rbn_right_red) & ((ssize_t)-2)); \
} while (0)
#else
/* Right accessors. */
#define rbtn_right_get(a_type, a_field, a_node) \
((a_node)->a_field.rbn_right)
#define rbtn_right_set(a_type, a_field, a_node, a_right) do { \
(a_node)->a_field.rbn_right = a_right; \
} while (0)
/* Color accessors. */
#define rbtn_red_get(a_type, a_field, a_node) \
((a_node)->a_field.rbn_red)
#define rbtn_color_set(a_type, a_field, a_node, a_red) do { \
(a_node)->a_field.rbn_red = (a_red); \
} while (0)
#define rbtn_red_set(a_type, a_field, a_node) do { \
(a_node)->a_field.rbn_red = true; \
} while (0)
#define rbtn_black_set(a_type, a_field, a_node) do { \
(a_node)->a_field.rbn_red = false; \
} while (0)
#endif
/* Node initializer. */
#define rbt_node_new(a_type, a_field, a_rbt, a_node) do { \
rbtn_left_set(a_type, a_field, (a_node), &(a_rbt)->rbt_nil); \
rbtn_right_set(a_type, a_field, (a_node), &(a_rbt)->rbt_nil); \
rbtn_red_set(a_type, a_field, (a_node)); \
} while (0)
/* Tree initializer. */
#define rb_new(a_type, a_field, a_rbt) do { \
(a_rbt)->rbt_root = &(a_rbt)->rbt_nil; \
rbt_node_new(a_type, a_field, a_rbt, &(a_rbt)->rbt_nil); \
rbtn_black_set(a_type, a_field, &(a_rbt)->rbt_nil); \
} while (0)
/* Internal utility macros. */
#define rbtn_first(a_type, a_field, a_rbt, a_root, r_node) do { \
(r_node) = (a_root); \
if ((r_node) != &(a_rbt)->rbt_nil) { \
for (; \
rbtn_left_get(a_type, a_field, (r_node)) != &(a_rbt)->rbt_nil;\
(r_node) = rbtn_left_get(a_type, a_field, (r_node))) { \
} \
} \
} while (0)
#define rbtn_last(a_type, a_field, a_rbt, a_root, r_node) do { \
(r_node) = (a_root); \
if ((r_node) != &(a_rbt)->rbt_nil) { \
for (; rbtn_right_get(a_type, a_field, (r_node)) != \
&(a_rbt)->rbt_nil; (r_node) = rbtn_right_get(a_type, a_field, \
(r_node))) { \
} \
} \
} while (0)
#define rbtn_rotate_left(a_type, a_field, a_node, r_node) do { \
(r_node) = rbtn_right_get(a_type, a_field, (a_node)); \
rbtn_right_set(a_type, a_field, (a_node), \
rbtn_left_get(a_type, a_field, (r_node))); \
rbtn_left_set(a_type, a_field, (r_node), (a_node)); \
} while (0)
#define rbtn_rotate_right(a_type, a_field, a_node, r_node) do { \
(r_node) = rbtn_left_get(a_type, a_field, (a_node)); \
rbtn_left_set(a_type, a_field, (a_node), \
rbtn_right_get(a_type, a_field, (r_node))); \
rbtn_right_set(a_type, a_field, (r_node), (a_node)); \
} while (0)
/*
* The rb_proto() macro generates function prototypes that correspond to the
* functions generated by an equivalently parameterized call to rb_gen().
*/
#define rb_proto(a_attr, a_prefix, a_rbt_type, a_type) \
a_attr void \
a_prefix##new(a_rbt_type *rbtree); \
a_attr a_type * \
a_prefix##first(a_rbt_type *rbtree); \
a_attr a_type * \
a_prefix##last(a_rbt_type *rbtree); \
a_attr a_type * \
a_prefix##next(a_rbt_type *rbtree, a_type *node); \
a_attr a_type * \
a_prefix##prev(a_rbt_type *rbtree, a_type *node); \
a_attr a_type * \
a_prefix##search(a_rbt_type *rbtree, a_type *key); \
a_attr a_type * \
a_prefix##nsearch(a_rbt_type *rbtree, a_type *key); \
a_attr a_type * \
a_prefix##psearch(a_rbt_type *rbtree, a_type *key); \
a_attr void \
a_prefix##insert(a_rbt_type *rbtree, a_type *node); \
a_attr void \
a_prefix##remove(a_rbt_type *rbtree, a_type *node); \
a_attr a_type * \
a_prefix##iter(a_rbt_type *rbtree, a_type *start, a_type *(*cb)( \
a_rbt_type *, a_type *, void *), void *arg); \
a_attr a_type * \
a_prefix##reverse_iter(a_rbt_type *rbtree, a_type *start, \
a_type *(*cb)(a_rbt_type *, a_type *, void *), void *arg);
/*
* The rb_gen() macro generates a type-specific red-black tree implementation,
* based on the above cpp macros.
*
* Arguments:
*
* a_attr : Function attribute for generated functions (ex: static).
* a_prefix : Prefix for generated functions (ex: extree_).
* a_rb_type : Type for red-black tree data structure (ex: extree_t).
* a_type : Type for red-black tree node data structure (ex:
* extree_node_t).
* a_field : Name of red-black tree node linkage (ex: extree_link).
* a_cmp : Node comparison function name, with the following prototype:
* int (a_cmp *)(a_type *a_node, a_type *a_other);
* ^^^^^^
* or a_key
* Interpretation of comparision function return values:
* -1 : a_node < a_other
* 0 : a_node == a_other
* 1 : a_node > a_other
* In all cases, the a_node or a_key macro argument is the first
* argument to the comparison function, which makes it possible
* to write comparison functions that treat the first argument
* specially.
*
* Assuming the following setup:
*
* typedef struct ex_node_s ex_node_t;
* struct ex_node_s {
* rb_node(ex_node_t) ex_link;
* };
* typedef rb(ex_node_t) ex_t;
* rb_gen(static, ex_, ex_t, ex_node_t, ex_link, ex_cmp, 1297, 1301)
*
* The following API is generated:
*
* static void
* ex_new(ex_t *extree);
* Description: Initialize a red-black tree structure.
* Args:
* extree: Pointer to an uninitialized red-black tree object.
*
* static ex_node_t *
* ex_first(ex_t *extree);
* static ex_node_t *
* ex_last(ex_t *extree);
* Description: Get the first/last node in extree.
* Args:
* extree: Pointer to an initialized red-black tree object.
* Ret: First/last node in extree, or NULL if extree is empty.
*
* static ex_node_t *
* ex_next(ex_t *extree, ex_node_t *node);
* static ex_node_t *
* ex_prev(ex_t *extree, ex_node_t *node);
* Description: Get node's successor/predecessor.
* Args:
* extree: Pointer to an initialized red-black tree object.
* node : A node in extree.
* Ret: node's successor/predecessor in extree, or NULL if node is
* last/first.
*
* static ex_node_t *
* ex_search(ex_t *extree, ex_node_t *key);
* Description: Search for node that matches key.
* Args:
* extree: Pointer to an initialized red-black tree object.
* key : Search key.
* Ret: Node in extree that matches key, or NULL if no match.
*
* static ex_node_t *
* ex_nsearch(ex_t *extree, ex_node_t *key);
* static ex_node_t *
* ex_psearch(ex_t *extree, ex_node_t *key);
* Description: Search for node that matches key. If no match is found,
* return what would be key's successor/predecessor, were
* key in extree.
* Args:
* extree: Pointer to an initialized red-black tree object.
* key : Search key.
* Ret: Node in extree that matches key, or if no match, hypothetical
* node's successor/predecessor (NULL if no successor/predecessor).
*
* static void
* ex_insert(ex_t *extree, ex_node_t *node);
* Description: Insert node into extree.
* Args:
* extree: Pointer to an initialized red-black tree object.
* node : Node to be inserted into extree.
*
* static void
* ex_remove(ex_t *extree, ex_node_t *node);
* Description: Remove node from extree.
* Args:
* extree: Pointer to an initialized red-black tree object.
* node : Node in extree to be removed.
*
* static ex_node_t *
* ex_iter(ex_t *extree, ex_node_t *start, ex_node_t *(*cb)(ex_t *,
* ex_node_t *, void *), void *arg);
* static ex_node_t *
* ex_reverse_iter(ex_t *extree, ex_node_t *start, ex_node *(*cb)(ex_t *,
* ex_node_t *, void *), void *arg);
* Description: Iterate forward/backward over extree, starting at node.
* If extree is modified, iteration must be immediately
* terminated by the callback function that causes the
* modification.
* Args:
* extree: Pointer to an initialized red-black tree object.
* start : Node at which to start iteration, or NULL to start at
* first/last node.
* cb : Callback function, which is called for each node during
* iteration. Under normal circumstances the callback function
* should return NULL, which causes iteration to continue. If a
* callback function returns non-NULL, iteration is immediately
* terminated and the non-NULL return value is returned by the
* iterator. This is useful for re-starting iteration after
* modifying extree.
* arg : Opaque pointer passed to cb().
* Ret: NULL if iteration completed, or the non-NULL callback return value
* that caused termination of the iteration.
*/
#define rb_gen(a_attr, a_prefix, a_rbt_type, a_type, a_field, a_cmp) \
a_attr void \
a_prefix##new(a_rbt_type *rbtree) { \
rb_new(a_type, a_field, rbtree); \
} \
a_attr a_type * \
a_prefix##first(a_rbt_type *rbtree) { \
a_type *ret; \
rbtn_first(a_type, a_field, rbtree, rbtree->rbt_root, ret); \
if (ret == &rbtree->rbt_nil) { \
ret = NULL; \
} \
return (ret); \
} \
a_attr a_type * \
a_prefix##last(a_rbt_type *rbtree) { \
a_type *ret; \
rbtn_last(a_type, a_field, rbtree, rbtree->rbt_root, ret); \
if (ret == &rbtree->rbt_nil) { \
ret = NULL; \
} \
return (ret); \
} \
a_attr a_type * \
a_prefix##next(a_rbt_type *rbtree, a_type *node) { \
a_type *ret; \
if (rbtn_right_get(a_type, a_field, node) != &rbtree->rbt_nil) { \
rbtn_first(a_type, a_field, rbtree, rbtn_right_get(a_type, \
a_field, node), ret); \
} else { \
a_type *tnode = rbtree->rbt_root; \
assert(tnode != &rbtree->rbt_nil); \
ret = &rbtree->rbt_nil; \
while (true) { \
int cmp = (a_cmp)(node, tnode); \
if (cmp < 0) { \
ret = tnode; \
tnode = rbtn_left_get(a_type, a_field, tnode); \
} else if (cmp > 0) { \
tnode = rbtn_right_get(a_type, a_field, tnode); \
} else { \
break; \
} \
assert(tnode != &rbtree->rbt_nil); \
} \
} \
if (ret == &rbtree->rbt_nil) { \
ret = (NULL); \
} \
return (ret); \
} \
a_attr a_type * \
a_prefix##prev(a_rbt_type *rbtree, a_type *node) { \
a_type *ret; \
if (rbtn_left_get(a_type, a_field, node) != &rbtree->rbt_nil) { \
rbtn_last(a_type, a_field, rbtree, rbtn_left_get(a_type, \
a_field, node), ret); \
} else { \
a_type *tnode = rbtree->rbt_root; \
assert(tnode != &rbtree->rbt_nil); \
ret = &rbtree->rbt_nil; \
while (true) { \
int cmp = (a_cmp)(node, tnode); \
if (cmp < 0) { \
tnode = rbtn_left_get(a_type, a_field, tnode); \
} else if (cmp > 0) { \
ret = tnode; \
tnode = rbtn_right_get(a_type, a_field, tnode); \
} else { \
break; \
} \
assert(tnode != &rbtree->rbt_nil); \
} \
} \
if (ret == &rbtree->rbt_nil) { \
ret = (NULL); \
} \
return (ret); \
} \
a_attr a_type * \
a_prefix##search(a_rbt_type *rbtree, a_type *key) { \
a_type *ret; \
int cmp; \
ret = rbtree->rbt_root; \
while (ret != &rbtree->rbt_nil \
&& (cmp = (a_cmp)(key, ret)) != 0) { \
if (cmp < 0) { \
ret = rbtn_left_get(a_type, a_field, ret); \
} else { \
ret = rbtn_right_get(a_type, a_field, ret); \
} \
} \
if (ret == &rbtree->rbt_nil) { \
ret = (NULL); \
} \
return (ret); \
} \
a_attr a_type * \
a_prefix##nsearch(a_rbt_type *rbtree, a_type *key) { \
a_type *ret; \
a_type *tnode = rbtree->rbt_root; \
ret = &rbtree->rbt_nil; \
while (tnode != &rbtree->rbt_nil) { \
int cmp = (a_cmp)(key, tnode); \
if (cmp < 0) { \
ret = tnode; \
tnode = rbtn_left_get(a_type, a_field, tnode); \
} else if (cmp > 0) { \
tnode = rbtn_right_get(a_type, a_field, tnode); \
} else { \
ret = tnode; \
break; \
} \
} \
if (ret == &rbtree->rbt_nil) { \
ret = (NULL); \
} \
return (ret); \
} \
a_attr a_type * \
a_prefix##psearch(a_rbt_type *rbtree, a_type *key) { \
a_type *ret; \
a_type *tnode = rbtree->rbt_root; \
ret = &rbtree->rbt_nil; \
while (tnode != &rbtree->rbt_nil) { \
int cmp = (a_cmp)(key, tnode); \
if (cmp < 0) { \
tnode = rbtn_left_get(a_type, a_field, tnode); \
} else if (cmp > 0) { \
ret = tnode; \
tnode = rbtn_right_get(a_type, a_field, tnode); \
} else { \
ret = tnode; \
break; \
} \
} \
if (ret == &rbtree->rbt_nil) { \
ret = (NULL); \
} \
return (ret); \
} \
a_attr void \
a_prefix##insert(a_rbt_type *rbtree, a_type *node) { \
struct { \
a_type *node; \
int cmp; \
} path[sizeof(void *) << 4], *pathp; \
rbt_node_new(a_type, a_field, rbtree, node); \
/* Wind. */ \
path->node = rbtree->rbt_root; \
for (pathp = path; pathp->node != &rbtree->rbt_nil; pathp++) { \
int cmp = pathp->cmp = a_cmp(node, pathp->node); \
assert(cmp != 0); \
if (cmp < 0) { \
pathp[1].node = rbtn_left_get(a_type, a_field, \
pathp->node); \
} else { \
pathp[1].node = rbtn_right_get(a_type, a_field, \
pathp->node); \
} \
} \
pathp->node = node; \
/* Unwind. */ \
for (pathp--; (uintptr_t)pathp >= (uintptr_t)path; pathp--) { \
a_type *cnode = pathp->node; \
if (pathp->cmp < 0) { \
a_type *left = pathp[1].node; \
rbtn_left_set(a_type, a_field, cnode, left); \
if (rbtn_red_get(a_type, a_field, left)) { \
a_type *leftleft = rbtn_left_get(a_type, a_field, left);\
if (rbtn_red_get(a_type, a_field, leftleft)) { \
/* Fix up 4-node. */ \
a_type *tnode; \
rbtn_black_set(a_type, a_field, leftleft); \
rbtn_rotate_right(a_type, a_field, cnode, tnode); \
cnode = tnode; \
} \
} else { \
return; \
} \
} else { \
a_type *right = pathp[1].node; \
rbtn_right_set(a_type, a_field, cnode, right); \
if (rbtn_red_get(a_type, a_field, right)) { \
a_type *left = rbtn_left_get(a_type, a_field, cnode); \
if (rbtn_red_get(a_type, a_field, left)) { \
/* Split 4-node. */ \
rbtn_black_set(a_type, a_field, left); \
rbtn_black_set(a_type, a_field, right); \
rbtn_red_set(a_type, a_field, cnode); \
} else { \
/* Lean left. */ \
a_type *tnode; \
bool tred = rbtn_red_get(a_type, a_field, cnode); \
rbtn_rotate_left(a_type, a_field, cnode, tnode); \
rbtn_color_set(a_type, a_field, tnode, tred); \
rbtn_red_set(a_type, a_field, cnode); \
cnode = tnode; \
} \
} else { \
return; \
} \
} \
pathp->node = cnode; \
} \
/* Set root, and make it black. */ \
rbtree->rbt_root = path->node; \
rbtn_black_set(a_type, a_field, rbtree->rbt_root); \
} \
a_attr void \
a_prefix##remove(a_rbt_type *rbtree, a_type *node) { \
struct { \
a_type *node; \
int cmp; \
} *pathp, *nodep, path[sizeof(void *) << 4]; \
/* Wind. */ \
nodep = NULL; /* Silence compiler warning. */ \
path->node = rbtree->rbt_root; \
for (pathp = path; pathp->node != &rbtree->rbt_nil; pathp++) { \
int cmp = pathp->cmp = a_cmp(node, pathp->node); \
if (cmp < 0) { \
pathp[1].node = rbtn_left_get(a_type, a_field, \
pathp->node); \
} else { \
pathp[1].node = rbtn_right_get(a_type, a_field, \
pathp->node); \
if (cmp == 0) { \
/* Find node's successor, in preparation for swap. */ \
pathp->cmp = 1; \
nodep = pathp; \
for (pathp++; pathp->node != &rbtree->rbt_nil; \
pathp++) { \
pathp->cmp = -1; \
pathp[1].node = rbtn_left_get(a_type, a_field, \
pathp->node); \
} \
break; \
} \
} \
} \
assert(nodep->node == node); \
pathp--; \
if (pathp->node != node) { \
/* Swap node with its successor. */ \
bool tred = rbtn_red_get(a_type, a_field, pathp->node); \
rbtn_color_set(a_type, a_field, pathp->node, \
rbtn_red_get(a_type, a_field, node)); \
rbtn_left_set(a_type, a_field, pathp->node, \
rbtn_left_get(a_type, a_field, node)); \
/* If node's successor is its right child, the following code */\
/* will do the wrong thing for the right child pointer. */\
/* However, it doesn't matter, because the pointer will be */\
/* properly set when the successor is pruned. */\
rbtn_right_set(a_type, a_field, pathp->node, \
rbtn_right_get(a_type, a_field, node)); \
rbtn_color_set(a_type, a_field, node, tred); \
/* The pruned leaf node's child pointers are never accessed */\
/* again, so don't bother setting them to nil. */\
nodep->node = pathp->node; \
pathp->node = node; \
if (nodep == path) { \
rbtree->rbt_root = nodep->node; \
} else { \
if (nodep[-1].cmp < 0) { \
rbtn_left_set(a_type, a_field, nodep[-1].node, \
nodep->node); \
} else { \
rbtn_right_set(a_type, a_field, nodep[-1].node, \
nodep->node); \
} \
} \
} else { \
a_type *left = rbtn_left_get(a_type, a_field, node); \
if (left != &rbtree->rbt_nil) { \
/* node has no successor, but it has a left child. */\
/* Splice node out, without losing the left child. */\
assert(rbtn_red_get(a_type, a_field, node) == false); \
assert(rbtn_red_get(a_type, a_field, left)); \
rbtn_black_set(a_type, a_field, left); \
if (pathp == path) { \
rbtree->rbt_root = left; \
} else { \
if (pathp[-1].cmp < 0) { \
rbtn_left_set(a_type, a_field, pathp[-1].node, \
left); \
} else { \
rbtn_right_set(a_type, a_field, pathp[-1].node, \
left); \
} \
} \
return; \
} else if (pathp == path) { \
/* The tree only contained one node. */ \
rbtree->rbt_root = &rbtree->rbt_nil; \
return; \
} \
} \
if (rbtn_red_get(a_type, a_field, pathp->node)) { \
/* Prune red node, which requires no fixup. */ \
assert(pathp[-1].cmp < 0); \
rbtn_left_set(a_type, a_field, pathp[-1].node, \
&rbtree->rbt_nil); \
return; \
} \
/* The node to be pruned is black, so unwind until balance is */\
/* restored. */\
pathp->node = &rbtree->rbt_nil; \
for (pathp--; (uintptr_t)pathp >= (uintptr_t)path; pathp--) { \
assert(pathp->cmp != 0); \
if (pathp->cmp < 0) { \
rbtn_left_set(a_type, a_field, pathp->node, \
pathp[1].node); \
assert(rbtn_red_get(a_type, a_field, pathp[1].node) \
== false); \
if (rbtn_red_get(a_type, a_field, pathp->node)) { \
a_type *right = rbtn_right_get(a_type, a_field, \
pathp->node); \
a_type *rightleft = rbtn_left_get(a_type, a_field, \
right); \
a_type *tnode; \
if (rbtn_red_get(a_type, a_field, rightleft)) { \
/* In the following diagrams, ||, //, and \\ */\
/* indicate the path to the removed node. */\
/* */\
/* || */\
/* pathp(r) */\
/* // \ */\
/* (b) (b) */\
/* / */\
/* (r) */\
/* */\
rbtn_black_set(a_type, a_field, pathp->node); \
rbtn_rotate_right(a_type, a_field, right, tnode); \
rbtn_right_set(a_type, a_field, pathp->node, tnode);\
rbtn_rotate_left(a_type, a_field, pathp->node, \
tnode); \
} else { \
/* || */\
/* pathp(r) */\
/* // \ */\
/* (b) (b) */\
/* / */\
/* (b) */\
/* */\
rbtn_rotate_left(a_type, a_field, pathp->node, \
tnode); \
} \
/* Balance restored, but rotation modified subtree */\
/* root. */\
assert((uintptr_t)pathp > (uintptr_t)path); \
if (pathp[-1].cmp < 0) { \
rbtn_left_set(a_type, a_field, pathp[-1].node, \
tnode); \
} else { \
rbtn_right_set(a_type, a_field, pathp[-1].node, \
tnode); \
} \
return; \
} else { \
a_type *right = rbtn_right_get(a_type, a_field, \
pathp->node); \
a_type *rightleft = rbtn_left_get(a_type, a_field, \
right); \
if (rbtn_red_get(a_type, a_field, rightleft)) { \
/* || */\
/* pathp(b) */\
/* // \ */\
/* (b) (b) */\
/* / */\
/* (r) */\
a_type *tnode; \
rbtn_black_set(a_type, a_field, rightleft); \
rbtn_rotate_right(a_type, a_field, right, tnode); \
rbtn_right_set(a_type, a_field, pathp->node, tnode);\
rbtn_rotate_left(a_type, a_field, pathp->node, \
tnode); \
/* Balance restored, but rotation modified */\
/* subree root, which may actually be the tree */\
/* root. */\
if (pathp == path) { \
/* Set root. */ \
rbtree->rbt_root = tnode; \
} else { \
if (pathp[-1].cmp < 0) { \
rbtn_left_set(a_type, a_field, \
pathp[-1].node, tnode); \
} else { \
rbtn_right_set(a_type, a_field, \
pathp[-1].node, tnode); \
} \
} \
return; \
} else { \
/* || */\
/* pathp(b) */\
/* // \ */\
/* (b) (b) */\
/* / */\
/* (b) */\
a_type *tnode; \
rbtn_red_set(a_type, a_field, pathp->node); \
rbtn_rotate_left(a_type, a_field, pathp->node, \
tnode); \
pathp->node = tnode; \
} \
} \
} else { \
a_type *left; \
rbtn_right_set(a_type, a_field, pathp->node, \
pathp[1].node); \
left = rbtn_left_get(a_type, a_field, pathp->node); \
if (rbtn_red_get(a_type, a_field, left)) { \
a_type *tnode; \
a_type *leftright = rbtn_right_get(a_type, a_field, \
left); \
a_type *leftrightleft = rbtn_left_get(a_type, a_field, \
leftright); \
if (rbtn_red_get(a_type, a_field, leftrightleft)) { \
/* || */\
/* pathp(b) */\
/* / \\ */\
/* (r) (b) */\
/* \ */\
/* (b) */\
/* / */\
/* (r) */\
a_type *unode; \
rbtn_black_set(a_type, a_field, leftrightleft); \
rbtn_rotate_right(a_type, a_field, pathp->node, \
unode); \
rbtn_rotate_right(a_type, a_field, pathp->node, \
tnode); \
rbtn_right_set(a_type, a_field, unode, tnode); \
rbtn_rotate_left(a_type, a_field, unode, tnode); \
} else { \
/* || */\
/* pathp(b) */\
/* / \\ */\
/* (r) (b) */\
/* \ */\
/* (b) */\
/* / */\
/* (b) */\
assert(leftright != &rbtree->rbt_nil); \
rbtn_red_set(a_type, a_field, leftright); \
rbtn_rotate_right(a_type, a_field, pathp->node, \
tnode); \
rbtn_black_set(a_type, a_field, tnode); \
} \
/* Balance restored, but rotation modified subtree */\
/* root, which may actually be the tree root. */\
if (pathp == path) { \
/* Set root. */ \
rbtree->rbt_root = tnode; \
} else { \
if (pathp[-1].cmp < 0) { \
rbtn_left_set(a_type, a_field, pathp[-1].node, \
tnode); \
} else { \
rbtn_right_set(a_type, a_field, pathp[-1].node, \
tnode); \
} \
} \
return; \
} else if (rbtn_red_get(a_type, a_field, pathp->node)) { \
a_type *leftleft = rbtn_left_get(a_type, a_field, left);\
if (rbtn_red_get(a_type, a_field, leftleft)) { \
/* || */\
/* pathp(r) */\
/* / \\ */\
/* (b) (b) */\
/* / */\
/* (r) */\
a_type *tnode; \
rbtn_black_set(a_type, a_field, pathp->node); \
rbtn_red_set(a_type, a_field, left); \
rbtn_black_set(a_type, a_field, leftleft); \
rbtn_rotate_right(a_type, a_field, pathp->node, \
tnode); \
/* Balance restored, but rotation modified */\
/* subtree root. */\
assert((uintptr_t)pathp > (uintptr_t)path); \
if (pathp[-1].cmp < 0) { \
rbtn_left_set(a_type, a_field, pathp[-1].node, \
tnode); \
} else { \
rbtn_right_set(a_type, a_field, pathp[-1].node, \
tnode); \
} \
return; \
} else { \
/* || */\
/* pathp(r) */\
/* / \\ */\
/* (b) (b) */\
/* / */\
/* (b) */\
rbtn_red_set(a_type, a_field, left); \
rbtn_black_set(a_type, a_field, pathp->node); \
/* Balance restored. */ \
return; \
} \
} else { \
a_type *leftleft = rbtn_left_get(a_type, a_field, left);\
if (rbtn_red_get(a_type, a_field, leftleft)) { \
/* || */\
/* pathp(b) */\
/* / \\ */\
/* (b) (b) */\
/* / */\
/* (r) */\
a_type *tnode; \
rbtn_black_set(a_type, a_field, leftleft); \
rbtn_rotate_right(a_type, a_field, pathp->node, \
tnode); \
/* Balance restored, but rotation modified */\
/* subtree root, which may actually be the tree */\
/* root. */\
if (pathp == path) { \
/* Set root. */ \
rbtree->rbt_root = tnode; \
} else { \
if (pathp[-1].cmp < 0) { \
rbtn_left_set(a_type, a_field, \
pathp[-1].node, tnode); \
} else { \
rbtn_right_set(a_type, a_field, \
pathp[-1].node, tnode); \
} \
} \
return; \
} else { \
/* || */\
/* pathp(b) */\
/* / \\ */\
/* (b) (b) */\
/* / */\
/* (b) */\
rbtn_red_set(a_type, a_field, left); \
} \
} \
} \
} \
/* Set root. */ \
rbtree->rbt_root = path->node; \
assert(rbtn_red_get(a_type, a_field, rbtree->rbt_root) == false); \
} \
a_attr a_type * \
a_prefix##iter_recurse(a_rbt_type *rbtree, a_type *node, \
a_type *(*cb)(a_rbt_type *, a_type *, void *), void *arg) { \
if (node == &rbtree->rbt_nil) { \
return (&rbtree->rbt_nil); \
} else { \
a_type *ret; \
if ((ret = a_prefix##iter_recurse(rbtree, rbtn_left_get(a_type, \
a_field, node), cb, arg)) != &rbtree->rbt_nil \
|| (ret = cb(rbtree, node, arg)) != NULL) { \
return (ret); \
} \
return (a_prefix##iter_recurse(rbtree, rbtn_right_get(a_type, \
a_field, node), cb, arg)); \
} \
} \
a_attr a_type * \
a_prefix##iter_start(a_rbt_type *rbtree, a_type *start, a_type *node, \
a_type *(*cb)(a_rbt_type *, a_type *, void *), void *arg) { \
int cmp = a_cmp(start, node); \
if (cmp < 0) { \
a_type *ret; \
if ((ret = a_prefix##iter_start(rbtree, start, \
rbtn_left_get(a_type, a_field, node), cb, arg)) != \
&rbtree->rbt_nil || (ret = cb(rbtree, node, arg)) != NULL) { \
return (ret); \
} \
return (a_prefix##iter_recurse(rbtree, rbtn_right_get(a_type, \
a_field, node), cb, arg)); \
} else if (cmp > 0) { \
return (a_prefix##iter_start(rbtree, start, \
rbtn_right_get(a_type, a_field, node), cb, arg)); \
} else { \
a_type *ret; \
if ((ret = cb(rbtree, node, arg)) != NULL) { \
return (ret); \
} \
return (a_prefix##iter_recurse(rbtree, rbtn_right_get(a_type, \
a_field, node), cb, arg)); \
} \
} \
a_attr a_type * \
a_prefix##iter(a_rbt_type *rbtree, a_type *start, a_type *(*cb)( \
a_rbt_type *, a_type *, void *), void *arg) { \
a_type *ret; \
if (start != NULL) { \
ret = a_prefix##iter_start(rbtree, start, rbtree->rbt_root, \
cb, arg); \
} else { \
ret = a_prefix##iter_recurse(rbtree, rbtree->rbt_root, cb, arg);\
} \
if (ret == &rbtree->rbt_nil) { \
ret = NULL; \
} \
return (ret); \
} \
a_attr a_type * \
a_prefix##reverse_iter_recurse(a_rbt_type *rbtree, a_type *node, \
a_type *(*cb)(a_rbt_type *, a_type *, void *), void *arg) { \
if (node == &rbtree->rbt_nil) { \
return (&rbtree->rbt_nil); \
} else { \
a_type *ret; \
if ((ret = a_prefix##reverse_iter_recurse(rbtree, \
rbtn_right_get(a_type, a_field, node), cb, arg)) != \
&rbtree->rbt_nil || (ret = cb(rbtree, node, arg)) != NULL) { \
return (ret); \
} \
return (a_prefix##reverse_iter_recurse(rbtree, \
rbtn_left_get(a_type, a_field, node), cb, arg)); \
} \
} \
a_attr a_type * \
a_prefix##reverse_iter_start(a_rbt_type *rbtree, a_type *start, \
a_type *node, a_type *(*cb)(a_rbt_type *, a_type *, void *), \
void *arg) { \
int cmp = a_cmp(start, node); \
if (cmp > 0) { \
a_type *ret; \
if ((ret = a_prefix##reverse_iter_start(rbtree, start, \
rbtn_right_get(a_type, a_field, node), cb, arg)) != \
&rbtree->rbt_nil || (ret = cb(rbtree, node, arg)) != NULL) { \
return (ret); \
} \
return (a_prefix##reverse_iter_recurse(rbtree, \
rbtn_left_get(a_type, a_field, node), cb, arg)); \
} else if (cmp < 0) { \
return (a_prefix##reverse_iter_start(rbtree, start, \
rbtn_left_get(a_type, a_field, node), cb, arg)); \
} else { \
a_type *ret; \
if ((ret = cb(rbtree, node, arg)) != NULL) { \
return (ret); \
} \
return (a_prefix##reverse_iter_recurse(rbtree, \
rbtn_left_get(a_type, a_field, node), cb, arg)); \
} \
} \
a_attr a_type * \
a_prefix##reverse_iter(a_rbt_type *rbtree, a_type *start, \
a_type *(*cb)(a_rbt_type *, a_type *, void *), void *arg) { \
a_type *ret; \
if (start != NULL) { \
ret = a_prefix##reverse_iter_start(rbtree, start, \
rbtree->rbt_root, cb, arg); \
} else { \
ret = a_prefix##reverse_iter_recurse(rbtree, rbtree->rbt_root, \
cb, arg); \
} \
if (ret == &rbtree->rbt_nil) { \
ret = NULL; \
} \
return (ret); \
}
#endif /* RB_H_ */