948 lines
36 KiB
C
948 lines
36 KiB
C
/******************************************************************************
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*
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* Copyright (C) 2008 Jason Evans <jasone@FreeBSD.org>.
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* All rights reserved.
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* are met:
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* 1. Redistributions of source code must retain the above copyright
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* notice(s), this list of conditions and the following disclaimer
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* unmodified other than the allowable addition of one or more
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* copyright notices.
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* 2. Redistributions in binary form must reproduce the above copyright
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* notice(s), this list of conditions and the following disclaimer in
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* the documentation and/or other materials provided with the
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* distribution.
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*
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* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDER(S) ``AS IS'' AND ANY
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* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
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* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER(S) BE
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* LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
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* CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
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* SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR
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* BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY,
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* WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE
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* OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE,
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* EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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*
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******************************************************************************
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*
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* cpp macro implementation of left-leaning red-black trees.
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*
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* Usage:
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*
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* (Optional, see assert(3).)
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* #define NDEBUG
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*
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* (Required.)
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* #include <assert.h>
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* #include <rb.h>
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* ...
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*
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* All operations are done non-recursively. Parent pointers are not used, and
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* color bits are stored in the least significant bit of right-child pointers,
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* thus making node linkage as compact as is possible for red-black trees.
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*
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* Some macros use a comparison function pointer, which is expected to have the
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* following prototype:
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*
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* int (a_cmp *)(a_type *a_node, a_type *a_other);
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* ^^^^^^
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* or a_key
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*
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* Interpretation of comparision function return values:
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*
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* -1 : a_node < a_other
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* 0 : a_node == a_other
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* 1 : a_node > a_other
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*
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* In all cases, the a_node or a_key macro argument is the first argument to the
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* comparison function, which makes it possible to write comparison functions
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* that treat the first argument specially.
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*
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******************************************************************************/
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#ifndef RB_H_
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#define RB_H_
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#include <sys/cdefs.h>
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__FBSDID("$FreeBSD$");
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/* Node structure. */
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#define rb_node(a_type) \
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struct { \
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a_type *rbn_left; \
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a_type *rbn_right_red; \
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}
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/* Root structure. */
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#define rb_tree(a_type) \
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struct { \
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a_type *rbt_root; \
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a_type rbt_nil; \
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}
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/* Left accessors. */
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#define rbp_left_get(a_type, a_field, a_node) \
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((a_node)->a_field.rbn_left)
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#define rbp_left_set(a_type, a_field, a_node, a_left) do { \
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(a_node)->a_field.rbn_left = a_left; \
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} while (0)
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/* Right accessors. */
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#define rbp_right_get(a_type, a_field, a_node) \
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((a_type *) (((intptr_t) (a_node)->a_field.rbn_right_red) \
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& ((ssize_t)-2)))
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#define rbp_right_set(a_type, a_field, a_node, a_right) do { \
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(a_node)->a_field.rbn_right_red = (a_type *) (((uintptr_t) a_right) \
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| (((uintptr_t) (a_node)->a_field.rbn_right_red) & ((size_t)1))); \
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} while (0)
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/* Color accessors. */
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#define rbp_red_get(a_type, a_field, a_node) \
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((bool) (((uintptr_t) (a_node)->a_field.rbn_right_red) \
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& ((size_t)1)))
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#define rbp_color_set(a_type, a_field, a_node, a_red) do { \
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(a_node)->a_field.rbn_right_red = (a_type *) ((((intptr_t) \
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(a_node)->a_field.rbn_right_red) & ((ssize_t)-2)) \
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| ((ssize_t)a_red)); \
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} while (0)
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#define rbp_red_set(a_type, a_field, a_node) do { \
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(a_node)->a_field.rbn_right_red = (a_type *) (((uintptr_t) \
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(a_node)->a_field.rbn_right_red) | ((size_t)1)); \
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} while (0)
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#define rbp_black_set(a_type, a_field, a_node) do { \
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(a_node)->a_field.rbn_right_red = (a_type *) (((intptr_t) \
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(a_node)->a_field.rbn_right_red) & ((ssize_t)-2)); \
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} while (0)
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/* Node initializer. */
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#define rbp_node_new(a_type, a_field, a_tree, a_node) do { \
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rbp_left_set(a_type, a_field, (a_node), &(a_tree)->rbt_nil); \
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rbp_right_set(a_type, a_field, (a_node), &(a_tree)->rbt_nil); \
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rbp_red_set(a_type, a_field, (a_node)); \
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} while (0)
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/* Tree initializer. */
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#define rb_new(a_type, a_field, a_tree) do { \
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(a_tree)->rbt_root = &(a_tree)->rbt_nil; \
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rbp_node_new(a_type, a_field, a_tree, &(a_tree)->rbt_nil); \
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rbp_black_set(a_type, a_field, &(a_tree)->rbt_nil); \
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} while (0)
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/* Tree operations. */
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#define rbp_black_height(a_type, a_field, a_tree, r_height) do { \
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a_type *rbp_bh_t; \
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for (rbp_bh_t = (a_tree)->rbt_root, (r_height) = 0; \
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rbp_bh_t != &(a_tree)->rbt_nil; \
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rbp_bh_t = rbp_left_get(a_type, a_field, rbp_bh_t)) { \
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if (rbp_red_get(a_type, a_field, rbp_bh_t) == false) { \
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(r_height)++; \
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} \
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} \
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} while (0)
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#define rbp_first(a_type, a_field, a_tree, a_root, r_node) do { \
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for ((r_node) = (a_root); \
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rbp_left_get(a_type, a_field, (r_node)) != &(a_tree)->rbt_nil; \
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(r_node) = rbp_left_get(a_type, a_field, (r_node))) { \
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} \
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} while (0)
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#define rbp_last(a_type, a_field, a_tree, a_root, r_node) do { \
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for ((r_node) = (a_root); \
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rbp_right_get(a_type, a_field, (r_node)) != &(a_tree)->rbt_nil; \
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(r_node) = rbp_right_get(a_type, a_field, (r_node))) { \
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} \
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} while (0)
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#define rbp_next(a_type, a_field, a_cmp, a_tree, a_node, r_node) do { \
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if (rbp_right_get(a_type, a_field, (a_node)) \
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!= &(a_tree)->rbt_nil) { \
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rbp_first(a_type, a_field, a_tree, rbp_right_get(a_type, \
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a_field, (a_node)), (r_node)); \
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} else { \
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a_type *rbp_n_t = (a_tree)->rbt_root; \
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assert(rbp_n_t != &(a_tree)->rbt_nil); \
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(r_node) = &(a_tree)->rbt_nil; \
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while (true) { \
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int rbp_n_cmp = (a_cmp)((a_node), rbp_n_t); \
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if (rbp_n_cmp < 0) { \
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(r_node) = rbp_n_t; \
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rbp_n_t = rbp_left_get(a_type, a_field, rbp_n_t); \
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} else if (rbp_n_cmp > 0) { \
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rbp_n_t = rbp_right_get(a_type, a_field, rbp_n_t); \
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} else { \
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break; \
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} \
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assert(rbp_n_t != &(a_tree)->rbt_nil); \
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} \
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} \
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} while (0)
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#define rbp_prev(a_type, a_field, a_cmp, a_tree, a_node, r_node) do { \
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if (rbp_left_get(a_type, a_field, (a_node)) != &(a_tree)->rbt_nil) {\
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rbp_last(a_type, a_field, a_tree, rbp_left_get(a_type, \
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a_field, (a_node)), (r_node)); \
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} else { \
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a_type *rbp_p_t = (a_tree)->rbt_root; \
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assert(rbp_p_t != &(a_tree)->rbt_nil); \
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(r_node) = &(a_tree)->rbt_nil; \
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while (true) { \
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int rbp_p_cmp = (a_cmp)((a_node), rbp_p_t); \
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if (rbp_p_cmp < 0) { \
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rbp_p_t = rbp_left_get(a_type, a_field, rbp_p_t); \
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} else if (rbp_p_cmp > 0) { \
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(r_node) = rbp_p_t; \
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rbp_p_t = rbp_right_get(a_type, a_field, rbp_p_t); \
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} else { \
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break; \
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} \
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assert(rbp_p_t != &(a_tree)->rbt_nil); \
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} \
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} \
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} while (0)
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#define rb_first(a_type, a_field, a_tree, r_node) do { \
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rbp_first(a_type, a_field, a_tree, (a_tree)->rbt_root, (r_node)); \
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if ((r_node) == &(a_tree)->rbt_nil) { \
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(r_node) = NULL; \
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} \
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} while (0)
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#define rb_last(a_type, a_field, a_tree, r_node) do { \
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rbp_last(a_type, a_field, a_tree, (a_tree)->rbt_root, r_node); \
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if ((r_node) == &(a_tree)->rbt_nil) { \
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(r_node) = NULL; \
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} \
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} while (0)
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#define rb_next(a_type, a_field, a_cmp, a_tree, a_node, r_node) do { \
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rbp_next(a_type, a_field, a_cmp, a_tree, (a_node), (r_node)); \
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if ((r_node) == &(a_tree)->rbt_nil) { \
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(r_node) = NULL; \
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} \
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} while (0)
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#define rb_prev(a_type, a_field, a_cmp, a_tree, a_node, r_node) do { \
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rbp_prev(a_type, a_field, a_cmp, a_tree, (a_node), (r_node)); \
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if ((r_node) == &(a_tree)->rbt_nil) { \
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(r_node) = NULL; \
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} \
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} while (0)
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#define rb_search(a_type, a_field, a_cmp, a_tree, a_key, r_node) do { \
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int rbp_se_cmp; \
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(r_node) = (a_tree)->rbt_root; \
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while ((r_node) != &(a_tree)->rbt_nil \
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&& (rbp_se_cmp = (a_cmp)((a_key), (r_node))) != 0) { \
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if (rbp_se_cmp < 0) { \
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(r_node) = rbp_left_get(a_type, a_field, (r_node)); \
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} else { \
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(r_node) = rbp_right_get(a_type, a_field, (r_node)); \
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} \
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} \
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if ((r_node) == &(a_tree)->rbt_nil) { \
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(r_node) = NULL; \
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} \
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} while (0)
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/*
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* Find a match if it exists. Otherwise, find the next greater node, if one
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* exists.
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*/
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#define rb_nsearch(a_type, a_field, a_cmp, a_tree, a_key, r_node) do { \
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a_type *rbp_ns_t = (a_tree)->rbt_root; \
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(r_node) = NULL; \
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while (rbp_ns_t != &(a_tree)->rbt_nil) { \
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int rbp_ns_cmp = (a_cmp)((a_key), rbp_ns_t); \
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if (rbp_ns_cmp < 0) { \
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(r_node) = rbp_ns_t; \
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rbp_ns_t = rbp_left_get(a_type, a_field, rbp_ns_t); \
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} else if (rbp_ns_cmp > 0) { \
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rbp_ns_t = rbp_right_get(a_type, a_field, rbp_ns_t); \
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} else { \
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(r_node) = rbp_ns_t; \
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break; \
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} \
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} \
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} while (0)
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/*
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* Find a match if it exists. Otherwise, find the previous lesser node, if one
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* exists.
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*/
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#define rb_psearch(a_type, a_field, a_cmp, a_tree, a_key, r_node) do { \
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a_type *rbp_ps_t = (a_tree)->rbt_root; \
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(r_node) = NULL; \
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while (rbp_ps_t != &(a_tree)->rbt_nil) { \
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int rbp_ps_cmp = (a_cmp)((a_key), rbp_ps_t); \
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if (rbp_ps_cmp < 0) { \
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rbp_ps_t = rbp_left_get(a_type, a_field, rbp_ps_t); \
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} else if (rbp_ps_cmp > 0) { \
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(r_node) = rbp_ps_t; \
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rbp_ps_t = rbp_right_get(a_type, a_field, rbp_ps_t); \
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} else { \
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(r_node) = rbp_ps_t; \
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break; \
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} \
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} \
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} while (0)
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#define rbp_rotate_left(a_type, a_field, a_node, r_node) do { \
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(r_node) = rbp_right_get(a_type, a_field, (a_node)); \
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rbp_right_set(a_type, a_field, (a_node), \
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rbp_left_get(a_type, a_field, (r_node))); \
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rbp_left_set(a_type, a_field, (r_node), (a_node)); \
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} while (0)
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#define rbp_rotate_right(a_type, a_field, a_node, r_node) do { \
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(r_node) = rbp_left_get(a_type, a_field, (a_node)); \
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rbp_left_set(a_type, a_field, (a_node), \
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rbp_right_get(a_type, a_field, (r_node))); \
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rbp_right_set(a_type, a_field, (r_node), (a_node)); \
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} while (0)
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#define rbp_lean_left(a_type, a_field, a_node, r_node) do { \
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bool rbp_ll_red; \
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rbp_rotate_left(a_type, a_field, (a_node), (r_node)); \
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rbp_ll_red = rbp_red_get(a_type, a_field, (a_node)); \
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rbp_color_set(a_type, a_field, (r_node), rbp_ll_red); \
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rbp_red_set(a_type, a_field, (a_node)); \
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} while (0)
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#define rbp_lean_right(a_type, a_field, a_node, r_node) do { \
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bool rbp_lr_red; \
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rbp_rotate_right(a_type, a_field, (a_node), (r_node)); \
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rbp_lr_red = rbp_red_get(a_type, a_field, (a_node)); \
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rbp_color_set(a_type, a_field, (r_node), rbp_lr_red); \
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rbp_red_set(a_type, a_field, (a_node)); \
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} while (0)
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#define rbp_move_red_left(a_type, a_field, a_node, r_node) do { \
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a_type *rbp_mrl_t, *rbp_mrl_u; \
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rbp_mrl_t = rbp_left_get(a_type, a_field, (a_node)); \
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rbp_red_set(a_type, a_field, rbp_mrl_t); \
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rbp_mrl_t = rbp_right_get(a_type, a_field, (a_node)); \
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rbp_mrl_u = rbp_left_get(a_type, a_field, rbp_mrl_t); \
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if (rbp_red_get(a_type, a_field, rbp_mrl_u)) { \
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rbp_rotate_right(a_type, a_field, rbp_mrl_t, rbp_mrl_u); \
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rbp_right_set(a_type, a_field, (a_node), rbp_mrl_u); \
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rbp_rotate_left(a_type, a_field, (a_node), (r_node)); \
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rbp_mrl_t = rbp_right_get(a_type, a_field, (a_node)); \
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if (rbp_red_get(a_type, a_field, rbp_mrl_t)) { \
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rbp_black_set(a_type, a_field, rbp_mrl_t); \
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rbp_red_set(a_type, a_field, (a_node)); \
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rbp_rotate_left(a_type, a_field, (a_node), rbp_mrl_t); \
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rbp_left_set(a_type, a_field, (r_node), rbp_mrl_t); \
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} else { \
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rbp_black_set(a_type, a_field, (a_node)); \
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} \
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} else { \
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rbp_red_set(a_type, a_field, (a_node)); \
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rbp_rotate_left(a_type, a_field, (a_node), (r_node)); \
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} \
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} while (0)
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#define rbp_move_red_right(a_type, a_field, a_node, r_node) do { \
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a_type *rbp_mrr_t; \
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rbp_mrr_t = rbp_left_get(a_type, a_field, (a_node)); \
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if (rbp_red_get(a_type, a_field, rbp_mrr_t)) { \
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a_type *rbp_mrr_u, *rbp_mrr_v; \
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rbp_mrr_u = rbp_right_get(a_type, a_field, rbp_mrr_t); \
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rbp_mrr_v = rbp_left_get(a_type, a_field, rbp_mrr_u); \
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if (rbp_red_get(a_type, a_field, rbp_mrr_v)) { \
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rbp_color_set(a_type, a_field, rbp_mrr_u, \
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rbp_red_get(a_type, a_field, (a_node))); \
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rbp_black_set(a_type, a_field, rbp_mrr_v); \
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rbp_rotate_left(a_type, a_field, rbp_mrr_t, rbp_mrr_u); \
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rbp_left_set(a_type, a_field, (a_node), rbp_mrr_u); \
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rbp_rotate_right(a_type, a_field, (a_node), (r_node)); \
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rbp_rotate_left(a_type, a_field, (a_node), rbp_mrr_t); \
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rbp_right_set(a_type, a_field, (r_node), rbp_mrr_t); \
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} else { \
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rbp_color_set(a_type, a_field, rbp_mrr_t, \
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rbp_red_get(a_type, a_field, (a_node))); \
|
|
rbp_red_set(a_type, a_field, rbp_mrr_u); \
|
|
rbp_rotate_right(a_type, a_field, (a_node), (r_node)); \
|
|
rbp_rotate_left(a_type, a_field, (a_node), rbp_mrr_t); \
|
|
rbp_right_set(a_type, a_field, (r_node), rbp_mrr_t); \
|
|
} \
|
|
rbp_red_set(a_type, a_field, (a_node)); \
|
|
} else { \
|
|
rbp_red_set(a_type, a_field, rbp_mrr_t); \
|
|
rbp_mrr_t = rbp_left_get(a_type, a_field, rbp_mrr_t); \
|
|
if (rbp_red_get(a_type, a_field, rbp_mrr_t)) { \
|
|
rbp_black_set(a_type, a_field, rbp_mrr_t); \
|
|
rbp_rotate_right(a_type, a_field, (a_node), (r_node)); \
|
|
rbp_rotate_left(a_type, a_field, (a_node), rbp_mrr_t); \
|
|
rbp_right_set(a_type, a_field, (r_node), rbp_mrr_t); \
|
|
} else { \
|
|
rbp_rotate_left(a_type, a_field, (a_node), (r_node)); \
|
|
} \
|
|
} \
|
|
} while (0)
|
|
|
|
#define rb_insert(a_type, a_field, a_cmp, a_tree, a_node) do { \
|
|
a_type rbp_i_s; \
|
|
a_type *rbp_i_g, *rbp_i_p, *rbp_i_c, *rbp_i_t, *rbp_i_u; \
|
|
int rbp_i_cmp = 0; \
|
|
rbp_i_g = &(a_tree)->rbt_nil; \
|
|
rbp_left_set(a_type, a_field, &rbp_i_s, (a_tree)->rbt_root); \
|
|
rbp_right_set(a_type, a_field, &rbp_i_s, &(a_tree)->rbt_nil); \
|
|
rbp_black_set(a_type, a_field, &rbp_i_s); \
|
|
rbp_i_p = &rbp_i_s; \
|
|
rbp_i_c = (a_tree)->rbt_root; \
|
|
/* Iteratively search down the tree for the insertion point, */\
|
|
/* splitting 4-nodes as they are encountered. At the end of each */\
|
|
/* iteration, rbp_i_g->rbp_i_p->rbp_i_c is a 3-level path down */\
|
|
/* the tree, assuming a sufficiently deep tree. */\
|
|
while (rbp_i_c != &(a_tree)->rbt_nil) { \
|
|
rbp_i_t = rbp_left_get(a_type, a_field, rbp_i_c); \
|
|
rbp_i_u = rbp_left_get(a_type, a_field, rbp_i_t); \
|
|
if (rbp_red_get(a_type, a_field, rbp_i_t) \
|
|
&& rbp_red_get(a_type, a_field, rbp_i_u)) { \
|
|
/* rbp_i_c is the top of a logical 4-node, so split it. */\
|
|
/* This iteration does not move down the tree, due to the */\
|
|
/* disruptiveness of node splitting. */\
|
|
/* */\
|
|
/* Rotate right. */\
|
|
rbp_rotate_right(a_type, a_field, rbp_i_c, rbp_i_t); \
|
|
/* Pass red links up one level. */\
|
|
rbp_i_u = rbp_left_get(a_type, a_field, rbp_i_t); \
|
|
rbp_black_set(a_type, a_field, rbp_i_u); \
|
|
if (rbp_left_get(a_type, a_field, rbp_i_p) == rbp_i_c) { \
|
|
rbp_left_set(a_type, a_field, rbp_i_p, rbp_i_t); \
|
|
rbp_i_c = rbp_i_t; \
|
|
} else { \
|
|
/* rbp_i_c was the right child of rbp_i_p, so rotate */\
|
|
/* left in order to maintain the left-leaning */\
|
|
/* invariant. */\
|
|
assert(rbp_right_get(a_type, a_field, rbp_i_p) \
|
|
== rbp_i_c); \
|
|
rbp_right_set(a_type, a_field, rbp_i_p, rbp_i_t); \
|
|
rbp_lean_left(a_type, a_field, rbp_i_p, rbp_i_u); \
|
|
if (rbp_left_get(a_type, a_field, rbp_i_g) == rbp_i_p) {\
|
|
rbp_left_set(a_type, a_field, rbp_i_g, rbp_i_u); \
|
|
} else { \
|
|
assert(rbp_right_get(a_type, a_field, rbp_i_g) \
|
|
== rbp_i_p); \
|
|
rbp_right_set(a_type, a_field, rbp_i_g, rbp_i_u); \
|
|
} \
|
|
rbp_i_p = rbp_i_u; \
|
|
rbp_i_cmp = (a_cmp)((a_node), rbp_i_p); \
|
|
if (rbp_i_cmp < 0) { \
|
|
rbp_i_c = rbp_left_get(a_type, a_field, rbp_i_p); \
|
|
} else { \
|
|
assert(rbp_i_cmp > 0); \
|
|
rbp_i_c = rbp_right_get(a_type, a_field, rbp_i_p); \
|
|
} \
|
|
continue; \
|
|
} \
|
|
} \
|
|
rbp_i_g = rbp_i_p; \
|
|
rbp_i_p = rbp_i_c; \
|
|
rbp_i_cmp = (a_cmp)((a_node), rbp_i_c); \
|
|
if (rbp_i_cmp < 0) { \
|
|
rbp_i_c = rbp_left_get(a_type, a_field, rbp_i_c); \
|
|
} else { \
|
|
assert(rbp_i_cmp > 0); \
|
|
rbp_i_c = rbp_right_get(a_type, a_field, rbp_i_c); \
|
|
} \
|
|
} \
|
|
/* rbp_i_p now refers to the node under which to insert. */\
|
|
rbp_node_new(a_type, a_field, a_tree, (a_node)); \
|
|
if (rbp_i_cmp > 0) { \
|
|
rbp_right_set(a_type, a_field, rbp_i_p, (a_node)); \
|
|
rbp_lean_left(a_type, a_field, rbp_i_p, rbp_i_t); \
|
|
if (rbp_left_get(a_type, a_field, rbp_i_g) == rbp_i_p) { \
|
|
rbp_left_set(a_type, a_field, rbp_i_g, rbp_i_t); \
|
|
} else if (rbp_right_get(a_type, a_field, rbp_i_g) == rbp_i_p) {\
|
|
rbp_right_set(a_type, a_field, rbp_i_g, rbp_i_t); \
|
|
} \
|
|
} else { \
|
|
rbp_left_set(a_type, a_field, rbp_i_p, (a_node)); \
|
|
} \
|
|
/* Update the root and make sure that it is black. */\
|
|
(a_tree)->rbt_root = rbp_left_get(a_type, a_field, &rbp_i_s); \
|
|
rbp_black_set(a_type, a_field, (a_tree)->rbt_root); \
|
|
} while (0)
|
|
|
|
#define rb_remove(a_type, a_field, a_cmp, a_tree, a_node) do { \
|
|
a_type rbp_r_s; \
|
|
a_type *rbp_r_p, *rbp_r_c, *rbp_r_xp, *rbp_r_t, *rbp_r_u; \
|
|
int rbp_r_cmp; \
|
|
rbp_left_set(a_type, a_field, &rbp_r_s, (a_tree)->rbt_root); \
|
|
rbp_right_set(a_type, a_field, &rbp_r_s, &(a_tree)->rbt_nil); \
|
|
rbp_black_set(a_type, a_field, &rbp_r_s); \
|
|
rbp_r_p = &rbp_r_s; \
|
|
rbp_r_c = (a_tree)->rbt_root; \
|
|
rbp_r_xp = &(a_tree)->rbt_nil; \
|
|
/* Iterate down the tree, but always transform 2-nodes to 3- or */\
|
|
/* 4-nodes in order to maintain the invariant that the current */\
|
|
/* node is not a 2-node. This allows simple deletion once a leaf */\
|
|
/* is reached. Handle the root specially though, since there may */\
|
|
/* be no way to convert it from a 2-node to a 3-node. */\
|
|
rbp_r_cmp = (a_cmp)((a_node), rbp_r_c); \
|
|
if (rbp_r_cmp < 0) { \
|
|
rbp_r_t = rbp_left_get(a_type, a_field, rbp_r_c); \
|
|
rbp_r_u = rbp_left_get(a_type, a_field, rbp_r_t); \
|
|
if (rbp_red_get(a_type, a_field, rbp_r_t) == false \
|
|
&& rbp_red_get(a_type, a_field, rbp_r_u) == false) { \
|
|
/* Apply standard transform to prepare for left move. */\
|
|
rbp_move_red_left(a_type, a_field, rbp_r_c, rbp_r_t); \
|
|
rbp_black_set(a_type, a_field, rbp_r_t); \
|
|
rbp_left_set(a_type, a_field, rbp_r_p, rbp_r_t); \
|
|
rbp_r_c = rbp_r_t; \
|
|
} else { \
|
|
/* Move left. */\
|
|
rbp_r_p = rbp_r_c; \
|
|
rbp_r_c = rbp_left_get(a_type, a_field, rbp_r_c); \
|
|
} \
|
|
} else { \
|
|
if (rbp_r_cmp == 0) { \
|
|
assert((a_node) == rbp_r_c); \
|
|
if (rbp_right_get(a_type, a_field, rbp_r_c) \
|
|
== &(a_tree)->rbt_nil) { \
|
|
/* Delete root node (which is also a leaf node). */\
|
|
if (rbp_left_get(a_type, a_field, rbp_r_c) \
|
|
!= &(a_tree)->rbt_nil) { \
|
|
rbp_lean_right(a_type, a_field, rbp_r_c, rbp_r_t); \
|
|
rbp_right_set(a_type, a_field, rbp_r_t, \
|
|
&(a_tree)->rbt_nil); \
|
|
} else { \
|
|
rbp_r_t = &(a_tree)->rbt_nil; \
|
|
} \
|
|
rbp_left_set(a_type, a_field, rbp_r_p, rbp_r_t); \
|
|
} else { \
|
|
/* This is the node we want to delete, but we will */\
|
|
/* instead swap it with its successor and delete the */\
|
|
/* successor. Record enough information to do the */\
|
|
/* swap later. rbp_r_xp is the a_node's parent. */\
|
|
rbp_r_xp = rbp_r_p; \
|
|
rbp_r_cmp = 1; /* Note that deletion is incomplete. */\
|
|
} \
|
|
} \
|
|
if (rbp_r_cmp == 1) { \
|
|
if (rbp_red_get(a_type, a_field, rbp_left_get(a_type, \
|
|
a_field, rbp_right_get(a_type, a_field, rbp_r_c))) \
|
|
== false) { \
|
|
rbp_r_t = rbp_left_get(a_type, a_field, rbp_r_c); \
|
|
if (rbp_red_get(a_type, a_field, rbp_r_t)) { \
|
|
/* Standard transform. */\
|
|
rbp_move_red_right(a_type, a_field, rbp_r_c, \
|
|
rbp_r_t); \
|
|
} else { \
|
|
/* Root-specific transform. */\
|
|
rbp_red_set(a_type, a_field, rbp_r_c); \
|
|
rbp_r_u = rbp_left_get(a_type, a_field, rbp_r_t); \
|
|
if (rbp_red_get(a_type, a_field, rbp_r_u)) { \
|
|
rbp_black_set(a_type, a_field, rbp_r_u); \
|
|
rbp_rotate_right(a_type, a_field, rbp_r_c, \
|
|
rbp_r_t); \
|
|
rbp_rotate_left(a_type, a_field, rbp_r_c, \
|
|
rbp_r_u); \
|
|
rbp_right_set(a_type, a_field, rbp_r_t, \
|
|
rbp_r_u); \
|
|
} else { \
|
|
rbp_red_set(a_type, a_field, rbp_r_t); \
|
|
rbp_rotate_left(a_type, a_field, rbp_r_c, \
|
|
rbp_r_t); \
|
|
} \
|
|
} \
|
|
rbp_left_set(a_type, a_field, rbp_r_p, rbp_r_t); \
|
|
rbp_r_c = rbp_r_t; \
|
|
} else { \
|
|
/* Move right. */\
|
|
rbp_r_p = rbp_r_c; \
|
|
rbp_r_c = rbp_right_get(a_type, a_field, rbp_r_c); \
|
|
} \
|
|
} \
|
|
} \
|
|
if (rbp_r_cmp != 0) { \
|
|
while (true) { \
|
|
assert(rbp_r_p != &(a_tree)->rbt_nil); \
|
|
rbp_r_cmp = (a_cmp)((a_node), rbp_r_c); \
|
|
if (rbp_r_cmp < 0) { \
|
|
rbp_r_t = rbp_left_get(a_type, a_field, rbp_r_c); \
|
|
if (rbp_r_t == &(a_tree)->rbt_nil) { \
|
|
/* rbp_r_c now refers to the successor node to */\
|
|
/* relocate, and rbp_r_xp/a_node refer to the */\
|
|
/* context for the relocation. */\
|
|
if (rbp_left_get(a_type, a_field, rbp_r_xp) \
|
|
== (a_node)) { \
|
|
rbp_left_set(a_type, a_field, rbp_r_xp, \
|
|
rbp_r_c); \
|
|
} else { \
|
|
assert(rbp_right_get(a_type, a_field, \
|
|
rbp_r_xp) == (a_node)); \
|
|
rbp_right_set(a_type, a_field, rbp_r_xp, \
|
|
rbp_r_c); \
|
|
} \
|
|
rbp_left_set(a_type, a_field, rbp_r_c, \
|
|
rbp_left_get(a_type, a_field, (a_node))); \
|
|
rbp_right_set(a_type, a_field, rbp_r_c, \
|
|
rbp_right_get(a_type, a_field, (a_node))); \
|
|
rbp_color_set(a_type, a_field, rbp_r_c, \
|
|
rbp_red_get(a_type, a_field, (a_node))); \
|
|
if (rbp_left_get(a_type, a_field, rbp_r_p) \
|
|
== rbp_r_c) { \
|
|
rbp_left_set(a_type, a_field, rbp_r_p, \
|
|
&(a_tree)->rbt_nil); \
|
|
} else { \
|
|
assert(rbp_right_get(a_type, a_field, rbp_r_p) \
|
|
== rbp_r_c); \
|
|
rbp_right_set(a_type, a_field, rbp_r_p, \
|
|
&(a_tree)->rbt_nil); \
|
|
} \
|
|
break; \
|
|
} \
|
|
rbp_r_u = rbp_left_get(a_type, a_field, rbp_r_t); \
|
|
if (rbp_red_get(a_type, a_field, rbp_r_t) == false \
|
|
&& rbp_red_get(a_type, a_field, rbp_r_u) == false) { \
|
|
rbp_move_red_left(a_type, a_field, rbp_r_c, \
|
|
rbp_r_t); \
|
|
if (rbp_left_get(a_type, a_field, rbp_r_p) \
|
|
== rbp_r_c) { \
|
|
rbp_left_set(a_type, a_field, rbp_r_p, rbp_r_t);\
|
|
} else { \
|
|
rbp_right_set(a_type, a_field, rbp_r_p, \
|
|
rbp_r_t); \
|
|
} \
|
|
rbp_r_c = rbp_r_t; \
|
|
} else { \
|
|
rbp_r_p = rbp_r_c; \
|
|
rbp_r_c = rbp_left_get(a_type, a_field, rbp_r_c); \
|
|
} \
|
|
} else { \
|
|
/* Check whether to delete this node (it has to be */\
|
|
/* the correct node and a leaf node). */\
|
|
if (rbp_r_cmp == 0) { \
|
|
assert((a_node) == rbp_r_c); \
|
|
if (rbp_right_get(a_type, a_field, rbp_r_c) \
|
|
== &(a_tree)->rbt_nil) { \
|
|
/* Delete leaf node. */\
|
|
if (rbp_left_get(a_type, a_field, rbp_r_c) \
|
|
!= &(a_tree)->rbt_nil) { \
|
|
rbp_lean_right(a_type, a_field, rbp_r_c, \
|
|
rbp_r_t); \
|
|
rbp_right_set(a_type, a_field, rbp_r_t, \
|
|
&(a_tree)->rbt_nil); \
|
|
} else { \
|
|
rbp_r_t = &(a_tree)->rbt_nil; \
|
|
} \
|
|
if (rbp_left_get(a_type, a_field, rbp_r_p) \
|
|
== rbp_r_c) { \
|
|
rbp_left_set(a_type, a_field, rbp_r_p, \
|
|
rbp_r_t); \
|
|
} else { \
|
|
rbp_right_set(a_type, a_field, rbp_r_p, \
|
|
rbp_r_t); \
|
|
} \
|
|
break; \
|
|
} else { \
|
|
/* This is the node we want to delete, but we */\
|
|
/* will instead swap it with its successor */\
|
|
/* and delete the successor. Record enough */\
|
|
/* information to do the swap later. */\
|
|
/* rbp_r_xp is a_node's parent. */\
|
|
rbp_r_xp = rbp_r_p; \
|
|
} \
|
|
} \
|
|
rbp_r_t = rbp_right_get(a_type, a_field, rbp_r_c); \
|
|
rbp_r_u = rbp_left_get(a_type, a_field, rbp_r_t); \
|
|
if (rbp_red_get(a_type, a_field, rbp_r_u) == false) { \
|
|
rbp_move_red_right(a_type, a_field, rbp_r_c, \
|
|
rbp_r_t); \
|
|
if (rbp_left_get(a_type, a_field, rbp_r_p) \
|
|
== rbp_r_c) { \
|
|
rbp_left_set(a_type, a_field, rbp_r_p, rbp_r_t);\
|
|
} else { \
|
|
rbp_right_set(a_type, a_field, rbp_r_p, \
|
|
rbp_r_t); \
|
|
} \
|
|
rbp_r_c = rbp_r_t; \
|
|
} else { \
|
|
rbp_r_p = rbp_r_c; \
|
|
rbp_r_c = rbp_right_get(a_type, a_field, rbp_r_c); \
|
|
} \
|
|
} \
|
|
} \
|
|
} \
|
|
/* Update root. */\
|
|
(a_tree)->rbt_root = rbp_left_get(a_type, a_field, &rbp_r_s); \
|
|
} while (0)
|
|
|
|
/*
|
|
* The rb_wrap() macro provides a convenient way to wrap functions around the
|
|
* cpp macros. The main benefits of wrapping are that 1) repeated macro
|
|
* expansion can cause code bloat, especially for rb_{insert,remove)(), and
|
|
* 2) type, linkage, comparison functions, etc. need not be specified at every
|
|
* call point.
|
|
*/
|
|
|
|
#define rb_wrap(a_attr, a_prefix, a_tree_type, a_type, a_field, a_cmp) \
|
|
a_attr void \
|
|
a_prefix##new(a_tree_type *tree) { \
|
|
rb_new(a_type, a_field, tree); \
|
|
} \
|
|
a_attr a_type * \
|
|
a_prefix##first(a_tree_type *tree) { \
|
|
a_type *ret; \
|
|
rb_first(a_type, a_field, tree, ret); \
|
|
return (ret); \
|
|
} \
|
|
a_attr a_type * \
|
|
a_prefix##last(a_tree_type *tree) { \
|
|
a_type *ret; \
|
|
rb_last(a_type, a_field, tree, ret); \
|
|
return (ret); \
|
|
} \
|
|
a_attr a_type * \
|
|
a_prefix##next(a_tree_type *tree, a_type *node) { \
|
|
a_type *ret; \
|
|
rb_next(a_type, a_field, a_cmp, tree, node, ret); \
|
|
return (ret); \
|
|
} \
|
|
a_attr a_type * \
|
|
a_prefix##prev(a_tree_type *tree, a_type *node) { \
|
|
a_type *ret; \
|
|
rb_prev(a_type, a_field, a_cmp, tree, node, ret); \
|
|
return (ret); \
|
|
} \
|
|
a_attr a_type * \
|
|
a_prefix##search(a_tree_type *tree, a_type *key) { \
|
|
a_type *ret; \
|
|
rb_search(a_type, a_field, a_cmp, tree, key, ret); \
|
|
return (ret); \
|
|
} \
|
|
a_attr a_type * \
|
|
a_prefix##nsearch(a_tree_type *tree, a_type *key) { \
|
|
a_type *ret; \
|
|
rb_nsearch(a_type, a_field, a_cmp, tree, key, ret); \
|
|
return (ret); \
|
|
} \
|
|
a_attr a_type * \
|
|
a_prefix##psearch(a_tree_type *tree, a_type *key) { \
|
|
a_type *ret; \
|
|
rb_psearch(a_type, a_field, a_cmp, tree, key, ret); \
|
|
return (ret); \
|
|
} \
|
|
a_attr void \
|
|
a_prefix##insert(a_tree_type *tree, a_type *node) { \
|
|
rb_insert(a_type, a_field, a_cmp, tree, node); \
|
|
} \
|
|
a_attr void \
|
|
a_prefix##remove(a_tree_type *tree, a_type *node) { \
|
|
rb_remove(a_type, a_field, a_cmp, tree, node); \
|
|
}
|
|
|
|
/*
|
|
* The iterators simulate recursion via an array of pointers that store the
|
|
* current path. This is critical to performance, since a series of calls to
|
|
* rb_{next,prev}() would require time proportional to (n lg n), whereas this
|
|
* implementation only requires time proportional to (n).
|
|
*
|
|
* Since the iterators cache a path down the tree, any tree modification may
|
|
* cause the cached path to become invalid. In order to continue iteration,
|
|
* use something like the following sequence:
|
|
*
|
|
* {
|
|
* a_type *node, *tnode;
|
|
*
|
|
* rb_foreach_begin(a_type, a_field, a_tree, node) {
|
|
* ...
|
|
* rb_next(a_type, a_field, a_cmp, a_tree, node, tnode);
|
|
* rb_remove(a_type, a_field, a_cmp, a_tree, node);
|
|
* rb_foreach_next(a_type, a_field, a_cmp, a_tree, tnode);
|
|
* ...
|
|
* } rb_foreach_end(a_type, a_field, a_tree, node)
|
|
* }
|
|
*
|
|
* Note that this idiom is not advised if every iteration modifies the tree,
|
|
* since in that case there is no algorithmic complexity improvement over a
|
|
* series of rb_{next,prev}() calls, thus making the setup overhead wasted
|
|
* effort.
|
|
*/
|
|
|
|
#define rb_foreach_begin(a_type, a_field, a_tree, a_var) { \
|
|
/* Compute the maximum possible tree depth (3X the black height). */\
|
|
unsigned rbp_f_height; \
|
|
rbp_black_height(a_type, a_field, a_tree, rbp_f_height); \
|
|
rbp_f_height *= 3; \
|
|
{ \
|
|
/* Initialize the path to contain the left spine. */\
|
|
a_type *rbp_f_path[rbp_f_height]; \
|
|
a_type *rbp_f_node; \
|
|
bool rbp_f_synced = false; \
|
|
unsigned rbp_f_depth = 0; \
|
|
if ((a_tree)->rbt_root != &(a_tree)->rbt_nil) { \
|
|
rbp_f_path[rbp_f_depth] = (a_tree)->rbt_root; \
|
|
rbp_f_depth++; \
|
|
while ((rbp_f_node = rbp_left_get(a_type, a_field, \
|
|
rbp_f_path[rbp_f_depth-1])) != &(a_tree)->rbt_nil) { \
|
|
rbp_f_path[rbp_f_depth] = rbp_f_node; \
|
|
rbp_f_depth++; \
|
|
} \
|
|
} \
|
|
/* While the path is non-empty, iterate. */\
|
|
while (rbp_f_depth > 0) { \
|
|
(a_var) = rbp_f_path[rbp_f_depth-1];
|
|
|
|
/* Only use if modifying the tree during iteration. */
|
|
#define rb_foreach_next(a_type, a_field, a_cmp, a_tree, a_node) \
|
|
/* Re-initialize the path to contain the path to a_node. */\
|
|
rbp_f_depth = 0; \
|
|
if (a_node != NULL) { \
|
|
if ((a_tree)->rbt_root != &(a_tree)->rbt_nil) { \
|
|
rbp_f_path[rbp_f_depth] = (a_tree)->rbt_root; \
|
|
rbp_f_depth++; \
|
|
rbp_f_node = rbp_f_path[0]; \
|
|
while (true) { \
|
|
int rbp_f_cmp = (a_cmp)((a_node), \
|
|
rbp_f_path[rbp_f_depth-1]); \
|
|
if (rbp_f_cmp < 0) { \
|
|
rbp_f_node = rbp_left_get(a_type, a_field, \
|
|
rbp_f_path[rbp_f_depth-1]); \
|
|
} else if (rbp_f_cmp > 0) { \
|
|
rbp_f_node = rbp_right_get(a_type, a_field, \
|
|
rbp_f_path[rbp_f_depth-1]); \
|
|
} else { \
|
|
break; \
|
|
} \
|
|
assert(rbp_f_node != &(a_tree)->rbt_nil); \
|
|
rbp_f_path[rbp_f_depth] = rbp_f_node; \
|
|
rbp_f_depth++; \
|
|
} \
|
|
} \
|
|
} \
|
|
rbp_f_synced = true;
|
|
|
|
#define rb_foreach_end(a_type, a_field, a_tree, a_var) \
|
|
if (rbp_f_synced) { \
|
|
rbp_f_synced = false; \
|
|
continue; \
|
|
} \
|
|
/* Find the successor. */\
|
|
if ((rbp_f_node = rbp_right_get(a_type, a_field, \
|
|
rbp_f_path[rbp_f_depth-1])) != &(a_tree)->rbt_nil) { \
|
|
/* The successor is the left-most node in the right */\
|
|
/* subtree. */\
|
|
rbp_f_path[rbp_f_depth] = rbp_f_node; \
|
|
rbp_f_depth++; \
|
|
while ((rbp_f_node = rbp_left_get(a_type, a_field, \
|
|
rbp_f_path[rbp_f_depth-1])) != &(a_tree)->rbt_nil) { \
|
|
rbp_f_path[rbp_f_depth] = rbp_f_node; \
|
|
rbp_f_depth++; \
|
|
} \
|
|
} else { \
|
|
/* The successor is above the current node. Unwind */\
|
|
/* until a left-leaning edge is removed from the */\
|
|
/* path, or the path is empty. */\
|
|
for (rbp_f_depth--; rbp_f_depth > 0; rbp_f_depth--) { \
|
|
if (rbp_left_get(a_type, a_field, \
|
|
rbp_f_path[rbp_f_depth-1]) \
|
|
== rbp_f_path[rbp_f_depth]) { \
|
|
break; \
|
|
} \
|
|
} \
|
|
} \
|
|
} \
|
|
} \
|
|
}
|
|
|
|
#define rb_foreach_reverse_begin(a_type, a_field, a_tree, a_var) { \
|
|
/* Compute the maximum possible tree depth (3X the black height). */\
|
|
unsigned rbp_fr_height; \
|
|
rbp_black_height(a_type, a_field, a_tree, rbp_fr_height); \
|
|
rbp_fr_height *= 3; \
|
|
{ \
|
|
/* Initialize the path to contain the right spine. */\
|
|
a_type *rbp_fr_path[rbp_fr_height]; \
|
|
a_type *rbp_fr_node; \
|
|
bool rbp_fr_synced = false; \
|
|
unsigned rbp_fr_depth = 0; \
|
|
if ((a_tree)->rbt_root != &(a_tree)->rbt_nil) { \
|
|
rbp_fr_path[rbp_fr_depth] = (a_tree)->rbt_root; \
|
|
rbp_fr_depth++; \
|
|
while ((rbp_fr_node = rbp_right_get(a_type, a_field, \
|
|
rbp_fr_path[rbp_fr_depth-1])) != &(a_tree)->rbt_nil) { \
|
|
rbp_fr_path[rbp_fr_depth] = rbp_fr_node; \
|
|
rbp_fr_depth++; \
|
|
} \
|
|
} \
|
|
/* While the path is non-empty, iterate. */\
|
|
while (rbp_fr_depth > 0) { \
|
|
(a_var) = rbp_fr_path[rbp_fr_depth-1];
|
|
|
|
/* Only use if modifying the tree during iteration. */
|
|
#define rb_foreach_reverse_prev(a_type, a_field, a_cmp, a_tree, a_node) \
|
|
/* Re-initialize the path to contain the path to a_node. */\
|
|
rbp_fr_depth = 0; \
|
|
if (a_node != NULL) { \
|
|
if ((a_tree)->rbt_root != &(a_tree)->rbt_nil) { \
|
|
rbp_fr_path[rbp_fr_depth] = (a_tree)->rbt_root; \
|
|
rbp_fr_depth++; \
|
|
rbp_fr_node = rbp_fr_path[0]; \
|
|
while (true) { \
|
|
int rbp_fr_cmp = (a_cmp)((a_node), \
|
|
rbp_fr_path[rbp_fr_depth-1]); \
|
|
if (rbp_fr_cmp < 0) { \
|
|
rbp_fr_node = rbp_left_get(a_type, a_field, \
|
|
rbp_fr_path[rbp_fr_depth-1]); \
|
|
} else if (rbp_fr_cmp > 0) { \
|
|
rbp_fr_node = rbp_right_get(a_type, a_field,\
|
|
rbp_fr_path[rbp_fr_depth-1]); \
|
|
} else { \
|
|
break; \
|
|
} \
|
|
assert(rbp_fr_node != &(a_tree)->rbt_nil); \
|
|
rbp_fr_path[rbp_fr_depth] = rbp_fr_node; \
|
|
rbp_fr_depth++; \
|
|
} \
|
|
} \
|
|
} \
|
|
rbp_fr_synced = true;
|
|
|
|
#define rb_foreach_reverse_end(a_type, a_field, a_tree, a_var) \
|
|
if (rbp_fr_synced) { \
|
|
rbp_fr_synced = false; \
|
|
continue; \
|
|
} \
|
|
if (rbp_fr_depth == 0) { \
|
|
/* rb_foreach_reverse_sync() was called with a NULL */\
|
|
/* a_node. */\
|
|
break; \
|
|
} \
|
|
/* Find the predecessor. */\
|
|
if ((rbp_fr_node = rbp_left_get(a_type, a_field, \
|
|
rbp_fr_path[rbp_fr_depth-1])) != &(a_tree)->rbt_nil) { \
|
|
/* The predecessor is the right-most node in the left */\
|
|
/* subtree. */\
|
|
rbp_fr_path[rbp_fr_depth] = rbp_fr_node; \
|
|
rbp_fr_depth++; \
|
|
while ((rbp_fr_node = rbp_right_get(a_type, a_field, \
|
|
rbp_fr_path[rbp_fr_depth-1])) != &(a_tree)->rbt_nil) {\
|
|
rbp_fr_path[rbp_fr_depth] = rbp_fr_node; \
|
|
rbp_fr_depth++; \
|
|
} \
|
|
} else { \
|
|
/* The predecessor is above the current node. Unwind */\
|
|
/* until a right-leaning edge is removed from the */\
|
|
/* path, or the path is empty. */\
|
|
for (rbp_fr_depth--; rbp_fr_depth > 0; rbp_fr_depth--) {\
|
|
if (rbp_right_get(a_type, a_field, \
|
|
rbp_fr_path[rbp_fr_depth-1]) \
|
|
== rbp_fr_path[rbp_fr_depth]) { \
|
|
break; \
|
|
} \
|
|
} \
|
|
} \
|
|
} \
|
|
} \
|
|
}
|
|
|
|
#endif /* RB_H_ */
|