tree_macros.h
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/**
* \file
*
* \author Georg Hopp
*
* \copyright
* Copyright © 2012 Georg Hopp
*
* This program is free software: you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program. If not, see <http://www.gnu.org/licenses/>.
*/
#ifndef __TR_TREE_MACROS_H__
#define __TR_TREE_MACROS_H__
#include "trbase.h"
#define TR_TREE_RIGHT(node) (NULL!=(node)?(node)->right:NULL)
#define TR_TREE_LEFT(node) (NULL!=(node)?(node)->left:NULL)
#define TR_TREE_PARENT(node) (NULL!=(node)?(node)->parent:NULL)
#define TR_TREE_CHILD(node) \
(NULL==TR_TREE_RIGHT((node))?TR_TREE_LEFT((node)):TR_TREE_RIGHT((node)))
#define TR_TREE_SIBLING(node) \
(NULL!=(node)->parent? \
((node)==(node)->parent->left? \
(node)->parent->right: \
(node)->parent->left): \
NULL)
#define TR_TREE_UNCLE(node) \
((node)->parent == (node)->parent->parent->left \
? (node)->parent->parent->right \
: (node)->parent->parent->left)
#define TR_TREE_REPLACE_NODE(root, node1, node2) \
if (NULL != (node1)->parent) { \
if ((node1) == (node1)->parent->left) { \
(node1)->parent->left = (node2); \
} else { \
(node1)->parent->right = (node2); \
} \
} else { \
*(root) = (node2); \
} \
if (NULL != (node2)) { \
(node2)->parent = (node1)->parent; \
}
#define TR_TREE_ROT_RCLD_right(node) ((node)->left)
#define TR_TREE_ROT_RCLD_left(node) ((node)->right)
#define TR_TREE_ROTATE(lr, root, node) \
if (NULL != (node)) { \
void * stPar = node->parent; \
void * relCld = TR_TREE_ROT_RCLD_##lr(node); \
void * relCCld = TR_TREE_ROT_RCLD_##lr(node)->lr; \
void * nLeft_p = &TR_TREE_ROT_RCLD_##lr(node); \
if (NULL != relCCld) { \
TR_TREE_ROT_RCLD_##lr(node)->lr->parent = node; \
} \
TR_TREE_ROT_RCLD_##lr(node)->lr = node; \
if (NULL != node->parent) { \
if (node->parent->left == node) { \
node->parent->left = relCld; \
} else { \
node->parent->right = relCld; \
} \
} else { \
*(root) = relCld; \
} \
node->parent = relCld; \
TR_TREE_ROT_RCLD_##lr(node)->parent = stPar; \
*(void**)nLeft_p = relCCld; \
}
typedef enum {rbBlack=1, rbRed=2} TR_rbColor;
#define TR_TREE_NODE_BLACK(node) \
(NULL == (node) || rbBlack == (node)->color)
#define TR_TREE_NODE_RED(node) \
(NULL == (node) || rbRed == (node)->color)
#define TR_TREE_NODE_STRICT_BLACK(node) \
(NULL != (node) && rbBlack == (node)->color)
#define TR_TREE_NODE_STRICT_RED(node) \
(NULL != (node) && rbRed == (node)->color)
#define TR_TREE_INORDER_SUCC(node, succ) \
succ = (node)->right; \
while (NULL != succ->left) { \
succ = succ->left; \
}
/*
* Find data in a tree.
* Attention: This will change node, so normally you need to copy
* it before using this macro.
* Also be aware that found needs to be a valid lvalue and an integer.
*/
#define TR_TREE_FIND(node, search, found, comp) \
(found) = -1; \
if ((node)) { \
while (1) { \
(found) = (comp)((node)->data, (search)); \
if (0 != (found)) { \
if (0 < (found)) { \
if (! (node)->left) break; \
(node) = (node)->left; \
} else { \
if (! (node)->right) break; \
(node) = (node)->right; \
} \
} else { \
break; \
} \
} \
}
#define TR_TREE_BALANCE_DELETE_CASE1(node) \
if (NULL == (node)->parent) { \
break; \
}
#define TR_TREE_BALANCE_DELETE_CASE2(root, node, sibling) \
if (NULL != (sibling) && rbRed == (sibling)->color) { \
(node)->parent->color = rbRed; \
(sibling)->color = rbBlack; \
if (NULL != (node)->parent->right \
&& (node) != (node)->parent->right) { \
TR_TREE_ROTATE(left, (root), (node)->parent); \
} else { \
TR_TREE_ROTATE(right, (root), (node)->parent); \
} \
(sibling) = TR_TREE_SIBLING((node)); \
}
#define TR_TREE_BALANCE_DELETE_CASE34(root, node, sibling) \
if (NULL == (sibling) \
|| (rbBlack == (sibling)->color \
&& TR_TREE_NODE_BLACK((sibling)->left) \
&& TR_TREE_NODE_BLACK((sibling)->right))) { \
if (NULL != (sibling)) { \
(sibling)->color = rbRed; \
} \
if (rbBlack == (node)->parent->color) { \
(node) = (node)->parent; \
continue; \
} else { \
(node)->parent->color = rbBlack; \
break; \
} \
}
/*
* this if statement is trivial,
* due to case 2 (even though case 2 changed the sibling to a
* sibling's child,
* the sibling's child can't be red, since no red parent can
* have a red child).
*
* the following statements just force the red to be on the
* left of the left of the parent,
* or right of the right, so case 6 will rotate correctly.
*/
#define TR_TREE_BALANCE_DELETE_CASE5(root, node, sibling) \
if (NULL != (sibling) && rbBlack == (sibling)->color) { \
if ((node) == (node)->parent->left \
&& TR_TREE_NODE_BLACK((sibling)->right) \
&& TR_TREE_NODE_STRICT_RED((sibling)->left)) { \
(sibling)->color = rbRed; \
(sibling)->left->color = rbBlack; \
TR_TREE_ROTATE(right, (root), (sibling)); \
} else if ((node) == (node)->parent->right \
&& TR_TREE_NODE_BLACK((sibling)->left) \
&& TR_TREE_NODE_STRICT_RED((sibling)->right)) { \
(sibling)->color = rbRed; \
(sibling)->right->color = rbBlack; \
TR_TREE_ROTATE(left, (root), (sibling)); \
} \
(sibling) = TR_TREE_SIBLING((node)); \
}
#define TR_TREE_BALANCE_DELETE_CASE6(root, node, sibling) \
if (NULL != (sibling)) { \
(sibling)->color = (node)->parent->color; \
} \
if (NULL != (node) && NULL != (node)->parent) { \
(node)->parent->color = rbBlack; \
if (NULL != (node)->parent->right \
&& (node) != (node)->parent->right) { \
if (NULL != (sibling)->right) { \
(sibling)->right->color = rbBlack; \
} \
TR_TREE_ROTATE(left, (root), (node)->parent); \
} else { \
if (NULL != (sibling)->left) { \
(sibling)->left->color = rbBlack; \
} \
TR_TREE_ROTATE(right, (root), (node)->parent); \
} \
}
#define TR_TREE_BALANCE_DELETE(root, node, sibling) \
while(1) { \
TR_TREE_BALANCE_DELETE_CASE1((node)) \
sibling = TR_TREE_SIBLING(node); \
TR_TREE_BALANCE_DELETE_CASE2((root), (node), (sibling)) \
TR_TREE_BALANCE_DELETE_CASE34((root), (node), (sibling)) \
TR_TREE_BALANCE_DELETE_CASE5((root), (node), (sibling)) \
TR_TREE_BALANCE_DELETE_CASE6((root), (node), (sibling)) \
break; \
}
#define TR_TREE_BALANCE_INSERT_CASE1(node) \
if (NULL == (node)->parent) { \
(node)->color = rbBlack; \
break; \
}
#define TR_TREE_BALANCE_INSERT_CASE2(node) \
if (rbBlack == (node)->parent->color) { \
break; \
}
#define TR_TREE_BALANCE_INSERT_CASE3(node) \
if (NULL != TR_TREE_UNCLE(node) \
&& rbRed == TR_TREE_UNCLE(node)->color) { \
(node)->parent->color = rbBlack; \
TR_TREE_UNCLE(node)->color = rbBlack; \
(node)->parent->parent->color = rbRed; \
(node) = (node)->parent->parent; \
continue; \
}
#define TR_TREE_BALANCE_INSERT_CASE4(root, node) \
if ((node) == (node)->parent->right \
&& (node)->parent == (node)->parent->parent->left) { \
TR_TREE_ROTATE(left, (root), (node)->parent); \
(node) = (node)->left; \
} else if ((node) == (node)->parent->left \
&& (node)->parent == (node)->parent->parent->right) { \
TR_TREE_ROTATE(right, (root), (node)->parent); \
(node) = (node)->right; \
}
#define TR_TREE_BALANCE_INSERT_CASE5(root, node) \
(node)->parent->color = rbBlack; \
(node)->parent->parent->color = rbRed; \
if ((node) == (node)->parent->left) { \
TR_TREE_ROTATE(right, (root), (node)->parent->parent); \
} else { \
TR_TREE_ROTATE(left, (root), (node)->parent->parent); \
}
#define TR_TREE_BALANCE_INSERT(root, node) \
while (1) { \
TR_TREE_BALANCE_INSERT_CASE1((node)) \
TR_TREE_BALANCE_INSERT_CASE2((node)) \
TR_TREE_BALANCE_INSERT_CASE3((node)) \
TR_TREE_BALANCE_INSERT_CASE4((root), (node)) \
TR_TREE_BALANCE_INSERT_CASE5((root), (node)) \
break; \
}
#endif // __TR_TREE_MACROS_H__
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