[672038b] | 1 | /*======================================================================== |
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| 2 | // |
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| 3 | // rbtree.c |
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| 4 | // |
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| 5 | // Red Black tree implementation |
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| 6 | // |
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| 7 | //======================================================================== |
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| 8 | // ####ECOSGPLCOPYRIGHTBEGIN#### |
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| 9 | // ------------------------------------------- |
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| 10 | // This file is part of eCos, the Embedded Configurable Operating System. |
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| 11 | // Copyright (C) 1998, 1999, 2000, 2001, 2002, 2003 Free Software Foundation, Inc. |
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| 12 | // |
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| 13 | // eCos is free software; you can redistribute it and/or modify it under |
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| 14 | // the terms of the GNU General Public License as published by the Free |
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| 15 | // Software Foundation; either version 2 or (at your option) any later |
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| 16 | // version. |
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| 17 | // |
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| 18 | // eCos is distributed in the hope that it will be useful, but WITHOUT |
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| 19 | // ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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| 20 | // FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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| 21 | // for more details. |
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| 22 | // |
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| 23 | // You should have received a copy of the GNU General Public License |
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| 24 | // along with eCos; if not, write to the Free Software Foundation, Inc., |
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| 25 | // 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. |
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| 26 | // |
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| 27 | // As a special exception, if other files instantiate templates or use |
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| 28 | // macros or inline functions from this file, or you compile this file |
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| 29 | // and link it with other works to produce a work based on this file, |
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| 30 | // this file does not by itself cause the resulting work to be covered by |
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| 31 | // the GNU General Public License. However the source code for this file |
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| 32 | // must still be made available in accordance with section (3) of the GNU |
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| 33 | // General Public License v2. |
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| 34 | // |
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| 35 | // This exception does not invalidate any other reasons why a work based |
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| 36 | // on this file might be covered by the GNU General Public License. |
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| 37 | // ------------------------------------------- |
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| 38 | // ####ECOSGPLCOPYRIGHTEND#### |
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| 39 | //======================================================================== |
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| 40 | //#####DESCRIPTIONBEGIN#### |
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| 41 | // |
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| 42 | // Author(s): Niels Provos/OpenBSD |
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| 43 | // Contributors: dwmw2 |
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| 44 | // Date: 2003-01-21 |
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| 45 | // Purpose: This file provides an implementation of red-black trees. |
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| 46 | // Description: Derived from OpenBSD src/sys/sys/tree.h |
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| 47 | // Usage: |
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| 48 | // |
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| 49 | //####DESCRIPTIONEND#### |
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| 50 | // |
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| 51 | //====================================================================== |
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| 52 | */ |
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| 53 | |
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| 54 | /* $OpenBSD: tree.h,v 1.7 2002/10/17 21:51:54 art Exp $ */ |
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| 55 | /* |
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| 56 | * Copyright 2002 Niels Provos <provos@citi.umich.edu> |
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| 57 | * All rights reserved. |
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| 58 | * |
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| 59 | * Redistribution and use in source and binary forms, with or without |
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| 60 | * modification, are permitted provided that the following conditions |
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| 61 | * are met: |
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| 62 | * 1. Redistributions of source code must retain the above copyright |
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| 63 | * notice, this list of conditions and the following disclaimer. |
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| 64 | * 2. Redistributions in binary form must reproduce the above copyright |
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| 65 | * notice, this list of conditions and the following disclaimer in the |
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| 66 | * documentation and/or other materials provided with the distribution. |
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| 67 | * |
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| 68 | * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR |
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| 69 | * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES |
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| 70 | * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. |
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| 71 | * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT, |
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| 72 | * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT |
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| 73 | * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, |
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| 74 | * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY |
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| 75 | * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT |
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| 76 | * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF |
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| 77 | * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. |
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| 78 | */ |
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| 79 | |
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| 80 | /* Fields renamed to match Linux ones. */ |
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| 81 | #include <linux/rbtree.h> |
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| 82 | |
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| 83 | |
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| 84 | #define RB_HEAD(head) (head)->rb_node |
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| 85 | #define RB_LEFT(elm) (elm)->rb_left |
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| 86 | #define RB_RIGHT(elm) (elm)->rb_right |
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| 87 | #define RB_PARENT(elm) (elm)->rb_parent |
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| 88 | #define RB_COLOR(elm) (elm)->rb_color |
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| 89 | |
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| 90 | |
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| 91 | #define RB_SET(elm, parent) do { \ |
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| 92 | RB_PARENT(elm) = parent; \ |
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| 93 | RB_LEFT(elm) = RB_RIGHT(elm) = NULL; \ |
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| 94 | RB_COLOR(elm) = RB_RED; \ |
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| 95 | } while (0) |
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| 96 | |
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| 97 | #define RB_SET_BLACKRED(black, red) do { \ |
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| 98 | RB_COLOR(black) = RB_BLACK; \ |
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| 99 | RB_COLOR(red) = RB_RED; \ |
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| 100 | } while (0) |
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| 101 | |
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| 102 | #ifndef RB_AUGMENT |
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| 103 | #define RB_AUGMENT(x) |
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| 104 | #endif |
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| 105 | |
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| 106 | #define RB_ROTATE_LEFT(head, elm, tmp) do { \ |
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| 107 | (tmp) = RB_RIGHT(elm); \ |
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| 108 | if ((RB_RIGHT(elm) = RB_LEFT(tmp))) { \ |
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| 109 | RB_PARENT(RB_LEFT(tmp)) = (elm); \ |
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| 110 | } \ |
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| 111 | RB_AUGMENT(elm); \ |
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| 112 | if ((RB_PARENT(tmp) = RB_PARENT(elm))) { \ |
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| 113 | if ((elm) == RB_LEFT(RB_PARENT(elm))) \ |
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| 114 | RB_LEFT(RB_PARENT(elm)) = (tmp); \ |
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| 115 | else \ |
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| 116 | RB_RIGHT(RB_PARENT(elm)) = (tmp); \ |
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| 117 | } else \ |
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| 118 | (head)->rb_node = (tmp); \ |
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| 119 | RB_LEFT(tmp) = (elm); \ |
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| 120 | RB_PARENT(elm) = (tmp); \ |
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| 121 | RB_AUGMENT(tmp); \ |
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[78b85286] | 122 | if ((RB_PARENT(tmp))) { \ |
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[672038b] | 123 | RB_AUGMENT(RB_PARENT(tmp)); \ |
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[78b85286] | 124 | } \ |
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[672038b] | 125 | } while (0) |
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| 126 | |
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| 127 | #define RB_ROTATE_RIGHT(head, elm, tmp) do { \ |
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| 128 | (tmp) = RB_LEFT(elm); \ |
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| 129 | if ((RB_LEFT(elm) = RB_RIGHT(tmp))) { \ |
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| 130 | RB_PARENT(RB_RIGHT(tmp)) = (elm); \ |
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| 131 | } \ |
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| 132 | RB_AUGMENT(elm); \ |
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| 133 | if ((RB_PARENT(tmp) = RB_PARENT(elm))) { \ |
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| 134 | if ((elm) == RB_LEFT(RB_PARENT(elm))) \ |
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| 135 | RB_LEFT(RB_PARENT(elm)) = (tmp); \ |
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| 136 | else \ |
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| 137 | RB_RIGHT(RB_PARENT(elm)) = (tmp); \ |
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| 138 | } else \ |
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| 139 | (head)->rb_node = (tmp); \ |
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| 140 | RB_RIGHT(tmp) = (elm); \ |
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| 141 | RB_PARENT(elm) = (tmp); \ |
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| 142 | RB_AUGMENT(tmp); \ |
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[78b85286] | 143 | if ((RB_PARENT(tmp))) { \ |
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[672038b] | 144 | RB_AUGMENT(RB_PARENT(tmp)); \ |
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[78b85286] | 145 | } \ |
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[672038b] | 146 | } while(0) |
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| 147 | |
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| 148 | /* Note args swapped to match Linux */ |
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| 149 | void rb_insert_color(struct rb_node *elm, struct rb_root *head) |
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| 150 | { |
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| 151 | struct rb_node *parent, *gparent, *tmp; |
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| 152 | while ((parent = RB_PARENT(elm)) && |
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| 153 | RB_COLOR(parent) == RB_RED) { |
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| 154 | gparent = RB_PARENT(parent); |
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| 155 | if (parent == RB_LEFT(gparent)) { |
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| 156 | tmp = RB_RIGHT(gparent); |
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| 157 | if (tmp && RB_COLOR(tmp) == RB_RED) { |
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| 158 | RB_COLOR(tmp) = RB_BLACK; |
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| 159 | RB_SET_BLACKRED(parent, gparent); |
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| 160 | elm = gparent; |
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| 161 | continue; |
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| 162 | } |
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| 163 | if (RB_RIGHT(parent) == elm) { |
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| 164 | RB_ROTATE_LEFT(head, parent, tmp); |
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| 165 | tmp = parent; |
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| 166 | parent = elm; |
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| 167 | elm = tmp; |
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| 168 | } |
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| 169 | RB_SET_BLACKRED(parent, gparent); |
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| 170 | RB_ROTATE_RIGHT(head, gparent, tmp); |
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| 171 | } else { |
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| 172 | tmp = RB_LEFT(gparent); |
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| 173 | if (tmp && RB_COLOR(tmp) == RB_RED) { |
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| 174 | RB_COLOR(tmp) = RB_BLACK; |
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| 175 | RB_SET_BLACKRED(parent, gparent); |
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| 176 | elm = gparent; |
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| 177 | continue; |
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| 178 | } |
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| 179 | if (RB_LEFT(parent) == elm) { |
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| 180 | RB_ROTATE_RIGHT(head, parent, tmp); |
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| 181 | tmp = parent; |
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| 182 | parent = elm; |
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| 183 | elm = tmp; |
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| 184 | } |
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| 185 | RB_SET_BLACKRED(parent, gparent); |
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| 186 | RB_ROTATE_LEFT(head, gparent, tmp); |
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| 187 | } |
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| 188 | } |
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| 189 | RB_COLOR(head->rb_node) = RB_BLACK; |
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| 190 | } |
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| 191 | |
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| 192 | |
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| 193 | static void rb_remove_color(struct rb_root *head, struct rb_node *parent, |
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| 194 | struct rb_node *elm) |
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| 195 | { |
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| 196 | struct rb_node *tmp; |
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| 197 | while ((elm == NULL || RB_COLOR(elm) == RB_BLACK) && |
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| 198 | elm != RB_HEAD(head)) { |
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| 199 | if (RB_LEFT(parent) == elm) { |
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| 200 | tmp = RB_RIGHT(parent); |
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| 201 | if (RB_COLOR(tmp) == RB_RED) { |
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| 202 | RB_SET_BLACKRED(tmp, parent); |
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| 203 | RB_ROTATE_LEFT(head, parent, tmp); |
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| 204 | tmp = RB_RIGHT(parent); |
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| 205 | } |
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| 206 | if ((RB_LEFT(tmp) == NULL || |
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| 207 | RB_COLOR(RB_LEFT(tmp)) == RB_BLACK) && |
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| 208 | (RB_RIGHT(tmp) == NULL || |
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| 209 | RB_COLOR(RB_RIGHT(tmp)) == RB_BLACK)) { |
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| 210 | RB_COLOR(tmp) = RB_RED; |
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| 211 | elm = parent; |
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| 212 | parent = RB_PARENT(elm); |
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| 213 | } else { |
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| 214 | if (RB_RIGHT(tmp) == NULL || |
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| 215 | RB_COLOR(RB_RIGHT(tmp)) == RB_BLACK) { |
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| 216 | struct rb_node *oleft; |
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| 217 | if ((oleft = RB_LEFT(tmp))) |
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| 218 | RB_COLOR(oleft) = RB_BLACK; |
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| 219 | RB_COLOR(tmp) = RB_RED; |
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| 220 | RB_ROTATE_RIGHT(head, tmp, oleft); |
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| 221 | tmp = RB_RIGHT(parent); |
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| 222 | } |
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| 223 | RB_COLOR(tmp) = RB_COLOR(parent); |
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| 224 | RB_COLOR(parent) = RB_BLACK; |
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| 225 | if (RB_RIGHT(tmp)) |
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| 226 | RB_COLOR(RB_RIGHT(tmp)) = RB_BLACK; |
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| 227 | RB_ROTATE_LEFT(head, parent, tmp); |
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| 228 | elm = RB_HEAD(head); |
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| 229 | break; |
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| 230 | } |
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| 231 | } else { |
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| 232 | tmp = RB_LEFT(parent); |
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| 233 | if (RB_COLOR(tmp) == RB_RED) { |
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| 234 | RB_SET_BLACKRED(tmp, parent); |
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| 235 | RB_ROTATE_RIGHT(head, parent, tmp); |
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| 236 | tmp = RB_LEFT(parent); |
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| 237 | } |
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| 238 | if ((RB_LEFT(tmp) == NULL || |
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| 239 | RB_COLOR(RB_LEFT(tmp)) == RB_BLACK) && |
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| 240 | (RB_RIGHT(tmp) == NULL || |
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| 241 | RB_COLOR(RB_RIGHT(tmp)) == RB_BLACK)) { |
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| 242 | RB_COLOR(tmp) = RB_RED; |
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| 243 | elm = parent; |
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| 244 | parent = RB_PARENT(elm); |
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| 245 | } else { |
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| 246 | if (RB_LEFT(tmp) == NULL || |
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| 247 | RB_COLOR(RB_LEFT(tmp)) == RB_BLACK) { |
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| 248 | struct rb_node *oright; |
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| 249 | if ((oright = RB_RIGHT(tmp))) |
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| 250 | RB_COLOR(oright) = RB_BLACK; |
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| 251 | RB_COLOR(tmp) = RB_RED; |
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| 252 | RB_ROTATE_LEFT(head, tmp, oright); |
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| 253 | tmp = RB_LEFT(parent); |
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| 254 | } |
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| 255 | RB_COLOR(tmp) = RB_COLOR(parent); |
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| 256 | RB_COLOR(parent) = RB_BLACK; |
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| 257 | if (RB_LEFT(tmp)) |
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| 258 | RB_COLOR(RB_LEFT(tmp)) = RB_BLACK; |
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| 259 | RB_ROTATE_RIGHT(head, parent, tmp); |
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| 260 | elm = RB_HEAD(head); |
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| 261 | break; |
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| 262 | } |
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| 263 | } |
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| 264 | } |
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| 265 | if (elm) |
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| 266 | RB_COLOR(elm) = RB_BLACK; |
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| 267 | } |
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| 268 | |
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| 269 | /* Note name changed. Guess why :) */ |
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| 270 | void rb_erase(struct rb_node *elm, struct rb_root *head) |
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| 271 | { |
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| 272 | struct rb_node *child, *parent, *old = elm; |
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| 273 | int color; |
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| 274 | if (RB_LEFT(elm) == NULL) |
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| 275 | child = RB_RIGHT(elm); |
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| 276 | else if (RB_RIGHT(elm) == NULL) |
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| 277 | child = RB_LEFT(elm); |
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| 278 | else { |
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| 279 | struct rb_node *left; |
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| 280 | elm = RB_RIGHT(elm); |
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| 281 | while ((left = RB_LEFT(elm))) |
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| 282 | elm = left; |
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| 283 | child = RB_RIGHT(elm); |
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| 284 | parent = RB_PARENT(elm); |
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| 285 | color = RB_COLOR(elm); |
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| 286 | if (child) |
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| 287 | RB_PARENT(child) = parent; |
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| 288 | if (parent) { |
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| 289 | if (RB_LEFT(parent) == elm) |
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| 290 | RB_LEFT(parent) = child; |
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| 291 | else |
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| 292 | RB_RIGHT(parent) = child; |
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| 293 | RB_AUGMENT(parent); |
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| 294 | } else |
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| 295 | RB_HEAD(head) = child; |
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| 296 | if (RB_PARENT(elm) == old) |
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| 297 | parent = elm; |
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| 298 | *(elm) = *(old); |
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| 299 | if (RB_PARENT(old)) { |
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| 300 | if (RB_LEFT(RB_PARENT(old)) == old) |
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| 301 | RB_LEFT(RB_PARENT(old)) = elm; |
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| 302 | else |
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| 303 | RB_RIGHT(RB_PARENT(old)) = elm; |
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| 304 | RB_AUGMENT(RB_PARENT(old)); |
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| 305 | } else |
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| 306 | RB_HEAD(head) = elm; |
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| 307 | RB_PARENT(RB_LEFT(old)) = elm; |
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| 308 | if (RB_RIGHT(old)) |
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| 309 | RB_PARENT(RB_RIGHT(old)) = elm; |
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| 310 | if (parent) { |
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| 311 | left = parent; |
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| 312 | do { |
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| 313 | RB_AUGMENT(left); |
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| 314 | } while ((left = RB_PARENT(left))); |
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| 315 | } |
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| 316 | goto color; |
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| 317 | } |
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| 318 | parent = RB_PARENT(elm); |
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| 319 | color = RB_COLOR(elm); |
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| 320 | if (child) |
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| 321 | RB_PARENT(child) = parent; |
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| 322 | if (parent) { |
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| 323 | if (RB_LEFT(parent) == elm) |
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| 324 | RB_LEFT(parent) = child; |
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| 325 | else |
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| 326 | RB_RIGHT(parent) = child; |
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| 327 | RB_AUGMENT(parent); |
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| 328 | } else |
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| 329 | RB_HEAD(head) = child; |
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| 330 | color: |
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| 331 | if (color == RB_BLACK) |
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| 332 | rb_remove_color(head, parent, child); |
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| 333 | } |
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| 334 | |
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| 335 | struct rb_node *rb_next(struct rb_node *elm) |
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| 336 | { |
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| 337 | if (RB_RIGHT(elm)) { |
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| 338 | elm = RB_RIGHT(elm); |
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| 339 | while (RB_LEFT(elm)) |
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| 340 | elm = RB_LEFT(elm); |
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| 341 | } else { |
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| 342 | if (RB_PARENT(elm) && |
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| 343 | (elm == RB_LEFT(RB_PARENT(elm)))) |
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| 344 | elm = RB_PARENT(elm); |
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| 345 | else { |
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| 346 | while (RB_PARENT(elm) && |
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| 347 | (elm == RB_RIGHT(RB_PARENT(elm)))) |
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| 348 | elm = RB_PARENT(elm); |
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| 349 | elm = RB_PARENT(elm); |
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| 350 | } |
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| 351 | } |
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| 352 | return (elm); |
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| 353 | } |
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| 354 | |
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| 355 | struct rb_node *rb_prev(struct rb_node *elm) |
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| 356 | { |
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| 357 | if (RB_LEFT(elm)) { |
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| 358 | elm = RB_LEFT(elm); |
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| 359 | while (RB_RIGHT(elm)) |
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| 360 | elm = RB_RIGHT(elm); |
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| 361 | } else { |
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| 362 | if (RB_PARENT(elm) && |
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| 363 | (elm == RB_RIGHT(RB_PARENT(elm)))) |
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| 364 | elm = RB_PARENT(elm); |
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| 365 | else { |
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| 366 | while (RB_PARENT(elm) && |
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| 367 | (elm == RB_LEFT(RB_PARENT(elm)))) |
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| 368 | elm = RB_PARENT(elm); |
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| 369 | elm = RB_PARENT(elm); |
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| 370 | } |
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| 371 | } |
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| 372 | return (elm); |
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| 373 | } |
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| 374 | |
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| 375 | /* These ones are lifted from Linux -- but that's OK because I |
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| 376 | wrote them. dwmw2. */ |
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| 377 | struct rb_node *rb_first(struct rb_root *root) |
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| 378 | { |
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| 379 | struct rb_node *n; |
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| 380 | |
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| 381 | n = root->rb_node; |
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| 382 | if (!n) |
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| 383 | return 0; |
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| 384 | while (n->rb_left) |
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| 385 | n = n->rb_left; |
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| 386 | return n; |
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| 387 | } |
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| 388 | |
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[78b85286] | 389 | struct rb_node *rb_last(struct rb_root *root) |
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| 390 | { |
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| 391 | struct rb_node *n; |
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| 392 | |
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| 393 | n = root->rb_node; |
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| 394 | if (!n) |
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| 395 | return 0; |
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| 396 | while (n->rb_right) |
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| 397 | n = n->rb_right; |
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| 398 | return n; |
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| 399 | } |
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| 400 | |
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[672038b] | 401 | void rb_replace_node(struct rb_node *victim, struct rb_node *new, |
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| 402 | struct rb_root *root) |
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| 403 | { |
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| 404 | struct rb_node *parent = victim->rb_parent; |
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| 405 | |
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| 406 | /* Set the surrounding nodes to point to the replacement */ |
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| 407 | if (parent) { |
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| 408 | if (victim == parent->rb_left) |
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| 409 | parent->rb_left = new; |
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| 410 | else |
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| 411 | parent->rb_right = new; |
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| 412 | } else { |
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| 413 | root->rb_node = new; |
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| 414 | } |
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| 415 | if (victim->rb_left) |
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| 416 | victim->rb_left->rb_parent = new; |
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| 417 | if (victim->rb_right) |
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| 418 | victim->rb_right->rb_parent = new; |
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| 419 | |
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| 420 | /* Copy the pointers/colour from the victim to the replacement */ |
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| 421 | *new = *victim; |
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| 422 | } |
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