xref: /openbmc/u-boot/lib/rbtree.c (revision 78acc472)
1*78acc472SPeter Tyser /*
2*78acc472SPeter Tyser   Red Black Trees
3*78acc472SPeter Tyser   (C) 1999  Andrea Arcangeli <andrea@suse.de>
4*78acc472SPeter Tyser   (C) 2002  David Woodhouse <dwmw2@infradead.org>
5*78acc472SPeter Tyser 
6*78acc472SPeter Tyser   This program is free software; you can redistribute it and/or modify
7*78acc472SPeter Tyser   it under the terms of the GNU General Public License as published by
8*78acc472SPeter Tyser   the Free Software Foundation; either version 2 of the License, or
9*78acc472SPeter Tyser   (at your option) any later version.
10*78acc472SPeter Tyser 
11*78acc472SPeter Tyser   This program is distributed in the hope that it will be useful,
12*78acc472SPeter Tyser   but WITHOUT ANY WARRANTY; without even the implied warranty of
13*78acc472SPeter Tyser   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
14*78acc472SPeter Tyser   GNU General Public License for more details.
15*78acc472SPeter Tyser 
16*78acc472SPeter Tyser   You should have received a copy of the GNU General Public License
17*78acc472SPeter Tyser   along with this program; if not, write to the Free Software
18*78acc472SPeter Tyser   Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
19*78acc472SPeter Tyser 
20*78acc472SPeter Tyser   linux/lib/rbtree.c
21*78acc472SPeter Tyser */
22*78acc472SPeter Tyser 
23*78acc472SPeter Tyser #include <ubi_uboot.h>
24*78acc472SPeter Tyser #include <linux/rbtree.h>
25*78acc472SPeter Tyser 
26*78acc472SPeter Tyser static void __rb_rotate_left(struct rb_node *node, struct rb_root *root)
27*78acc472SPeter Tyser {
28*78acc472SPeter Tyser 	struct rb_node *right = node->rb_right;
29*78acc472SPeter Tyser 	struct rb_node *parent = rb_parent(node);
30*78acc472SPeter Tyser 
31*78acc472SPeter Tyser 	if ((node->rb_right = right->rb_left))
32*78acc472SPeter Tyser 		rb_set_parent(right->rb_left, node);
33*78acc472SPeter Tyser 	right->rb_left = node;
34*78acc472SPeter Tyser 
35*78acc472SPeter Tyser 	rb_set_parent(right, parent);
36*78acc472SPeter Tyser 
37*78acc472SPeter Tyser 	if (parent)
38*78acc472SPeter Tyser 	{
39*78acc472SPeter Tyser 		if (node == parent->rb_left)
40*78acc472SPeter Tyser 			parent->rb_left = right;
41*78acc472SPeter Tyser 		else
42*78acc472SPeter Tyser 			parent->rb_right = right;
43*78acc472SPeter Tyser 	}
44*78acc472SPeter Tyser 	else
45*78acc472SPeter Tyser 		root->rb_node = right;
46*78acc472SPeter Tyser 	rb_set_parent(node, right);
47*78acc472SPeter Tyser }
48*78acc472SPeter Tyser 
49*78acc472SPeter Tyser static void __rb_rotate_right(struct rb_node *node, struct rb_root *root)
50*78acc472SPeter Tyser {
51*78acc472SPeter Tyser 	struct rb_node *left = node->rb_left;
52*78acc472SPeter Tyser 	struct rb_node *parent = rb_parent(node);
53*78acc472SPeter Tyser 
54*78acc472SPeter Tyser 	if ((node->rb_left = left->rb_right))
55*78acc472SPeter Tyser 		rb_set_parent(left->rb_right, node);
56*78acc472SPeter Tyser 	left->rb_right = node;
57*78acc472SPeter Tyser 
58*78acc472SPeter Tyser 	rb_set_parent(left, parent);
59*78acc472SPeter Tyser 
60*78acc472SPeter Tyser 	if (parent)
61*78acc472SPeter Tyser 	{
62*78acc472SPeter Tyser 		if (node == parent->rb_right)
63*78acc472SPeter Tyser 			parent->rb_right = left;
64*78acc472SPeter Tyser 		else
65*78acc472SPeter Tyser 			parent->rb_left = left;
66*78acc472SPeter Tyser 	}
67*78acc472SPeter Tyser 	else
68*78acc472SPeter Tyser 		root->rb_node = left;
69*78acc472SPeter Tyser 	rb_set_parent(node, left);
70*78acc472SPeter Tyser }
71*78acc472SPeter Tyser 
72*78acc472SPeter Tyser void rb_insert_color(struct rb_node *node, struct rb_root *root)
73*78acc472SPeter Tyser {
74*78acc472SPeter Tyser 	struct rb_node *parent, *gparent;
75*78acc472SPeter Tyser 
76*78acc472SPeter Tyser 	while ((parent = rb_parent(node)) && rb_is_red(parent))
77*78acc472SPeter Tyser 	{
78*78acc472SPeter Tyser 		gparent = rb_parent(parent);
79*78acc472SPeter Tyser 
80*78acc472SPeter Tyser 		if (parent == gparent->rb_left)
81*78acc472SPeter Tyser 		{
82*78acc472SPeter Tyser 			{
83*78acc472SPeter Tyser 				register struct rb_node *uncle = gparent->rb_right;
84*78acc472SPeter Tyser 				if (uncle && rb_is_red(uncle))
85*78acc472SPeter Tyser 				{
86*78acc472SPeter Tyser 					rb_set_black(uncle);
87*78acc472SPeter Tyser 					rb_set_black(parent);
88*78acc472SPeter Tyser 					rb_set_red(gparent);
89*78acc472SPeter Tyser 					node = gparent;
90*78acc472SPeter Tyser 					continue;
91*78acc472SPeter Tyser 				}
92*78acc472SPeter Tyser 			}
93*78acc472SPeter Tyser 
94*78acc472SPeter Tyser 			if (parent->rb_right == node)
95*78acc472SPeter Tyser 			{
96*78acc472SPeter Tyser 				register struct rb_node *tmp;
97*78acc472SPeter Tyser 				__rb_rotate_left(parent, root);
98*78acc472SPeter Tyser 				tmp = parent;
99*78acc472SPeter Tyser 				parent = node;
100*78acc472SPeter Tyser 				node = tmp;
101*78acc472SPeter Tyser 			}
102*78acc472SPeter Tyser 
103*78acc472SPeter Tyser 			rb_set_black(parent);
104*78acc472SPeter Tyser 			rb_set_red(gparent);
105*78acc472SPeter Tyser 			__rb_rotate_right(gparent, root);
106*78acc472SPeter Tyser 		} else {
107*78acc472SPeter Tyser 			{
108*78acc472SPeter Tyser 				register struct rb_node *uncle = gparent->rb_left;
109*78acc472SPeter Tyser 				if (uncle && rb_is_red(uncle))
110*78acc472SPeter Tyser 				{
111*78acc472SPeter Tyser 					rb_set_black(uncle);
112*78acc472SPeter Tyser 					rb_set_black(parent);
113*78acc472SPeter Tyser 					rb_set_red(gparent);
114*78acc472SPeter Tyser 					node = gparent;
115*78acc472SPeter Tyser 					continue;
116*78acc472SPeter Tyser 				}
117*78acc472SPeter Tyser 			}
118*78acc472SPeter Tyser 
119*78acc472SPeter Tyser 			if (parent->rb_left == node)
120*78acc472SPeter Tyser 			{
121*78acc472SPeter Tyser 				register struct rb_node *tmp;
122*78acc472SPeter Tyser 				__rb_rotate_right(parent, root);
123*78acc472SPeter Tyser 				tmp = parent;
124*78acc472SPeter Tyser 				parent = node;
125*78acc472SPeter Tyser 				node = tmp;
126*78acc472SPeter Tyser 			}
127*78acc472SPeter Tyser 
128*78acc472SPeter Tyser 			rb_set_black(parent);
129*78acc472SPeter Tyser 			rb_set_red(gparent);
130*78acc472SPeter Tyser 			__rb_rotate_left(gparent, root);
131*78acc472SPeter Tyser 		}
132*78acc472SPeter Tyser 	}
133*78acc472SPeter Tyser 
134*78acc472SPeter Tyser 	rb_set_black(root->rb_node);
135*78acc472SPeter Tyser }
136*78acc472SPeter Tyser 
137*78acc472SPeter Tyser static void __rb_erase_color(struct rb_node *node, struct rb_node *parent,
138*78acc472SPeter Tyser 			     struct rb_root *root)
139*78acc472SPeter Tyser {
140*78acc472SPeter Tyser 	struct rb_node *other;
141*78acc472SPeter Tyser 
142*78acc472SPeter Tyser 	while ((!node || rb_is_black(node)) && node != root->rb_node)
143*78acc472SPeter Tyser 	{
144*78acc472SPeter Tyser 		if (parent->rb_left == node)
145*78acc472SPeter Tyser 		{
146*78acc472SPeter Tyser 			other = parent->rb_right;
147*78acc472SPeter Tyser 			if (rb_is_red(other))
148*78acc472SPeter Tyser 			{
149*78acc472SPeter Tyser 				rb_set_black(other);
150*78acc472SPeter Tyser 				rb_set_red(parent);
151*78acc472SPeter Tyser 				__rb_rotate_left(parent, root);
152*78acc472SPeter Tyser 				other = parent->rb_right;
153*78acc472SPeter Tyser 			}
154*78acc472SPeter Tyser 			if ((!other->rb_left || rb_is_black(other->rb_left)) &&
155*78acc472SPeter Tyser 			    (!other->rb_right || rb_is_black(other->rb_right)))
156*78acc472SPeter Tyser 			{
157*78acc472SPeter Tyser 				rb_set_red(other);
158*78acc472SPeter Tyser 				node = parent;
159*78acc472SPeter Tyser 				parent = rb_parent(node);
160*78acc472SPeter Tyser 			}
161*78acc472SPeter Tyser 			else
162*78acc472SPeter Tyser 			{
163*78acc472SPeter Tyser 				if (!other->rb_right || rb_is_black(other->rb_right))
164*78acc472SPeter Tyser 				{
165*78acc472SPeter Tyser 					struct rb_node *o_left;
166*78acc472SPeter Tyser 					if ((o_left = other->rb_left))
167*78acc472SPeter Tyser 						rb_set_black(o_left);
168*78acc472SPeter Tyser 					rb_set_red(other);
169*78acc472SPeter Tyser 					__rb_rotate_right(other, root);
170*78acc472SPeter Tyser 					other = parent->rb_right;
171*78acc472SPeter Tyser 				}
172*78acc472SPeter Tyser 				rb_set_color(other, rb_color(parent));
173*78acc472SPeter Tyser 				rb_set_black(parent);
174*78acc472SPeter Tyser 				if (other->rb_right)
175*78acc472SPeter Tyser 					rb_set_black(other->rb_right);
176*78acc472SPeter Tyser 				__rb_rotate_left(parent, root);
177*78acc472SPeter Tyser 				node = root->rb_node;
178*78acc472SPeter Tyser 				break;
179*78acc472SPeter Tyser 			}
180*78acc472SPeter Tyser 		}
181*78acc472SPeter Tyser 		else
182*78acc472SPeter Tyser 		{
183*78acc472SPeter Tyser 			other = parent->rb_left;
184*78acc472SPeter Tyser 			if (rb_is_red(other))
185*78acc472SPeter Tyser 			{
186*78acc472SPeter Tyser 				rb_set_black(other);
187*78acc472SPeter Tyser 				rb_set_red(parent);
188*78acc472SPeter Tyser 				__rb_rotate_right(parent, root);
189*78acc472SPeter Tyser 				other = parent->rb_left;
190*78acc472SPeter Tyser 			}
191*78acc472SPeter Tyser 			if ((!other->rb_left || rb_is_black(other->rb_left)) &&
192*78acc472SPeter Tyser 			    (!other->rb_right || rb_is_black(other->rb_right)))
193*78acc472SPeter Tyser 			{
194*78acc472SPeter Tyser 				rb_set_red(other);
195*78acc472SPeter Tyser 				node = parent;
196*78acc472SPeter Tyser 				parent = rb_parent(node);
197*78acc472SPeter Tyser 			}
198*78acc472SPeter Tyser 			else
199*78acc472SPeter Tyser 			{
200*78acc472SPeter Tyser 				if (!other->rb_left || rb_is_black(other->rb_left))
201*78acc472SPeter Tyser 				{
202*78acc472SPeter Tyser 					register struct rb_node *o_right;
203*78acc472SPeter Tyser 					if ((o_right = other->rb_right))
204*78acc472SPeter Tyser 						rb_set_black(o_right);
205*78acc472SPeter Tyser 					rb_set_red(other);
206*78acc472SPeter Tyser 					__rb_rotate_left(other, root);
207*78acc472SPeter Tyser 					other = parent->rb_left;
208*78acc472SPeter Tyser 				}
209*78acc472SPeter Tyser 				rb_set_color(other, rb_color(parent));
210*78acc472SPeter Tyser 				rb_set_black(parent);
211*78acc472SPeter Tyser 				if (other->rb_left)
212*78acc472SPeter Tyser 					rb_set_black(other->rb_left);
213*78acc472SPeter Tyser 				__rb_rotate_right(parent, root);
214*78acc472SPeter Tyser 				node = root->rb_node;
215*78acc472SPeter Tyser 				break;
216*78acc472SPeter Tyser 			}
217*78acc472SPeter Tyser 		}
218*78acc472SPeter Tyser 	}
219*78acc472SPeter Tyser 	if (node)
220*78acc472SPeter Tyser 		rb_set_black(node);
221*78acc472SPeter Tyser }
222*78acc472SPeter Tyser 
223*78acc472SPeter Tyser void rb_erase(struct rb_node *node, struct rb_root *root)
224*78acc472SPeter Tyser {
225*78acc472SPeter Tyser 	struct rb_node *child, *parent;
226*78acc472SPeter Tyser 	int color;
227*78acc472SPeter Tyser 
228*78acc472SPeter Tyser 	if (!node->rb_left)
229*78acc472SPeter Tyser 		child = node->rb_right;
230*78acc472SPeter Tyser 	else if (!node->rb_right)
231*78acc472SPeter Tyser 		child = node->rb_left;
232*78acc472SPeter Tyser 	else
233*78acc472SPeter Tyser 	{
234*78acc472SPeter Tyser 		struct rb_node *old = node, *left;
235*78acc472SPeter Tyser 
236*78acc472SPeter Tyser 		node = node->rb_right;
237*78acc472SPeter Tyser 		while ((left = node->rb_left) != NULL)
238*78acc472SPeter Tyser 			node = left;
239*78acc472SPeter Tyser 		child = node->rb_right;
240*78acc472SPeter Tyser 		parent = rb_parent(node);
241*78acc472SPeter Tyser 		color = rb_color(node);
242*78acc472SPeter Tyser 
243*78acc472SPeter Tyser 		if (child)
244*78acc472SPeter Tyser 			rb_set_parent(child, parent);
245*78acc472SPeter Tyser 		if (parent == old) {
246*78acc472SPeter Tyser 			parent->rb_right = child;
247*78acc472SPeter Tyser 			parent = node;
248*78acc472SPeter Tyser 		} else
249*78acc472SPeter Tyser 			parent->rb_left = child;
250*78acc472SPeter Tyser 
251*78acc472SPeter Tyser 		node->rb_parent_color = old->rb_parent_color;
252*78acc472SPeter Tyser 		node->rb_right = old->rb_right;
253*78acc472SPeter Tyser 		node->rb_left = old->rb_left;
254*78acc472SPeter Tyser 
255*78acc472SPeter Tyser 		if (rb_parent(old))
256*78acc472SPeter Tyser 		{
257*78acc472SPeter Tyser 			if (rb_parent(old)->rb_left == old)
258*78acc472SPeter Tyser 				rb_parent(old)->rb_left = node;
259*78acc472SPeter Tyser 			else
260*78acc472SPeter Tyser 				rb_parent(old)->rb_right = node;
261*78acc472SPeter Tyser 		} else
262*78acc472SPeter Tyser 			root->rb_node = node;
263*78acc472SPeter Tyser 
264*78acc472SPeter Tyser 		rb_set_parent(old->rb_left, node);
265*78acc472SPeter Tyser 		if (old->rb_right)
266*78acc472SPeter Tyser 			rb_set_parent(old->rb_right, node);
267*78acc472SPeter Tyser 		goto color;
268*78acc472SPeter Tyser 	}
269*78acc472SPeter Tyser 
270*78acc472SPeter Tyser 	parent = rb_parent(node);
271*78acc472SPeter Tyser 	color = rb_color(node);
272*78acc472SPeter Tyser 
273*78acc472SPeter Tyser 	if (child)
274*78acc472SPeter Tyser 		rb_set_parent(child, parent);
275*78acc472SPeter Tyser 	if (parent)
276*78acc472SPeter Tyser 	{
277*78acc472SPeter Tyser 		if (parent->rb_left == node)
278*78acc472SPeter Tyser 			parent->rb_left = child;
279*78acc472SPeter Tyser 		else
280*78acc472SPeter Tyser 			parent->rb_right = child;
281*78acc472SPeter Tyser 	}
282*78acc472SPeter Tyser 	else
283*78acc472SPeter Tyser 		root->rb_node = child;
284*78acc472SPeter Tyser 
285*78acc472SPeter Tyser  color:
286*78acc472SPeter Tyser 	if (color == RB_BLACK)
287*78acc472SPeter Tyser 		__rb_erase_color(child, parent, root);
288*78acc472SPeter Tyser }
289*78acc472SPeter Tyser 
290*78acc472SPeter Tyser /*
291*78acc472SPeter Tyser  * This function returns the first node (in sort order) of the tree.
292*78acc472SPeter Tyser  */
293*78acc472SPeter Tyser struct rb_node *rb_first(struct rb_root *root)
294*78acc472SPeter Tyser {
295*78acc472SPeter Tyser 	struct rb_node	*n;
296*78acc472SPeter Tyser 
297*78acc472SPeter Tyser 	n = root->rb_node;
298*78acc472SPeter Tyser 	if (!n)
299*78acc472SPeter Tyser 		return NULL;
300*78acc472SPeter Tyser 	while (n->rb_left)
301*78acc472SPeter Tyser 		n = n->rb_left;
302*78acc472SPeter Tyser 	return n;
303*78acc472SPeter Tyser }
304*78acc472SPeter Tyser 
305*78acc472SPeter Tyser struct rb_node *rb_last(struct rb_root *root)
306*78acc472SPeter Tyser {
307*78acc472SPeter Tyser 	struct rb_node	*n;
308*78acc472SPeter Tyser 
309*78acc472SPeter Tyser 	n = root->rb_node;
310*78acc472SPeter Tyser 	if (!n)
311*78acc472SPeter Tyser 		return NULL;
312*78acc472SPeter Tyser 	while (n->rb_right)
313*78acc472SPeter Tyser 		n = n->rb_right;
314*78acc472SPeter Tyser 	return n;
315*78acc472SPeter Tyser }
316*78acc472SPeter Tyser 
317*78acc472SPeter Tyser struct rb_node *rb_next(struct rb_node *node)
318*78acc472SPeter Tyser {
319*78acc472SPeter Tyser 	struct rb_node *parent;
320*78acc472SPeter Tyser 
321*78acc472SPeter Tyser 	if (rb_parent(node) == node)
322*78acc472SPeter Tyser 		return NULL;
323*78acc472SPeter Tyser 
324*78acc472SPeter Tyser 	/* If we have a right-hand child, go down and then left as far
325*78acc472SPeter Tyser 	   as we can. */
326*78acc472SPeter Tyser 	if (node->rb_right) {
327*78acc472SPeter Tyser 		node = node->rb_right;
328*78acc472SPeter Tyser 		while (node->rb_left)
329*78acc472SPeter Tyser 			node=node->rb_left;
330*78acc472SPeter Tyser 		return node;
331*78acc472SPeter Tyser 	}
332*78acc472SPeter Tyser 
333*78acc472SPeter Tyser 	/* No right-hand children.  Everything down and left is
334*78acc472SPeter Tyser 	   smaller than us, so any 'next' node must be in the general
335*78acc472SPeter Tyser 	   direction of our parent. Go up the tree; any time the
336*78acc472SPeter Tyser 	   ancestor is a right-hand child of its parent, keep going
337*78acc472SPeter Tyser 	   up. First time it's a left-hand child of its parent, said
338*78acc472SPeter Tyser 	   parent is our 'next' node. */
339*78acc472SPeter Tyser 	while ((parent = rb_parent(node)) && node == parent->rb_right)
340*78acc472SPeter Tyser 		node = parent;
341*78acc472SPeter Tyser 
342*78acc472SPeter Tyser 	return parent;
343*78acc472SPeter Tyser }
344*78acc472SPeter Tyser 
345*78acc472SPeter Tyser struct rb_node *rb_prev(struct rb_node *node)
346*78acc472SPeter Tyser {
347*78acc472SPeter Tyser 	struct rb_node *parent;
348*78acc472SPeter Tyser 
349*78acc472SPeter Tyser 	if (rb_parent(node) == node)
350*78acc472SPeter Tyser 		return NULL;
351*78acc472SPeter Tyser 
352*78acc472SPeter Tyser 	/* If we have a left-hand child, go down and then right as far
353*78acc472SPeter Tyser 	   as we can. */
354*78acc472SPeter Tyser 	if (node->rb_left) {
355*78acc472SPeter Tyser 		node = node->rb_left;
356*78acc472SPeter Tyser 		while (node->rb_right)
357*78acc472SPeter Tyser 			node=node->rb_right;
358*78acc472SPeter Tyser 		return node;
359*78acc472SPeter Tyser 	}
360*78acc472SPeter Tyser 
361*78acc472SPeter Tyser 	/* No left-hand children. Go up till we find an ancestor which
362*78acc472SPeter Tyser 	   is a right-hand child of its parent */
363*78acc472SPeter Tyser 	while ((parent = rb_parent(node)) && node == parent->rb_left)
364*78acc472SPeter Tyser 		node = parent;
365*78acc472SPeter Tyser 
366*78acc472SPeter Tyser 	return parent;
367*78acc472SPeter Tyser }
368*78acc472SPeter Tyser 
369*78acc472SPeter Tyser void rb_replace_node(struct rb_node *victim, struct rb_node *new,
370*78acc472SPeter Tyser 		     struct rb_root *root)
371*78acc472SPeter Tyser {
372*78acc472SPeter Tyser 	struct rb_node *parent = rb_parent(victim);
373*78acc472SPeter Tyser 
374*78acc472SPeter Tyser 	/* Set the surrounding nodes to point to the replacement */
375*78acc472SPeter Tyser 	if (parent) {
376*78acc472SPeter Tyser 		if (victim == parent->rb_left)
377*78acc472SPeter Tyser 			parent->rb_left = new;
378*78acc472SPeter Tyser 		else
379*78acc472SPeter Tyser 			parent->rb_right = new;
380*78acc472SPeter Tyser 	} else {
381*78acc472SPeter Tyser 		root->rb_node = new;
382*78acc472SPeter Tyser 	}
383*78acc472SPeter Tyser 	if (victim->rb_left)
384*78acc472SPeter Tyser 		rb_set_parent(victim->rb_left, new);
385*78acc472SPeter Tyser 	if (victim->rb_right)
386*78acc472SPeter Tyser 		rb_set_parent(victim->rb_right, new);
387*78acc472SPeter Tyser 
388*78acc472SPeter Tyser 	/* Copy the pointers/colour from the victim to the replacement */
389*78acc472SPeter Tyser 	*new = *victim;
390*78acc472SPeter Tyser }
391