xref: /freebsd/contrib/ofed/opensm/complib/cl_map.c (revision e8d8bef961a50d4dc22501cde4fb9fb0be1b2532)
1 /*
2  * Copyright (c) 2004-2009 Voltaire, Inc. All rights reserved.
3  * Copyright (c) 2002-2005 Mellanox Technologies LTD. All rights reserved.
4  * Copyright (c) 1996-2003 Intel Corporation. All rights reserved.
5  *
6  * This software is available to you under a choice of one of two
7  * licenses.  You may choose to be licensed under the terms of the GNU
8  * General Public License (GPL) Version 2, available from the file
9  * COPYING in the main directory of this source tree, or the
10  * OpenIB.org BSD license below:
11  *
12  *     Redistribution and use in source and binary forms, with or
13  *     without modification, are permitted provided that the following
14  *     conditions are met:
15  *
16  *      - Redistributions of source code must retain the above
17  *        copyright notice, this list of conditions and the following
18  *        disclaimer.
19  *
20  *      - Redistributions in binary form must reproduce the above
21  *        copyright notice, this list of conditions and the following
22  *        disclaimer in the documentation and/or other materials
23  *        provided with the distribution.
24  *
25  * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
26  * EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
27  * MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
28  * NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS
29  * BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN
30  * ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
31  * CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
32  * SOFTWARE.
33  *
34  */
35 
36 /*
37  * Abstract:
38  *	Implementation of quick map, a binary tree where the caller always
39  *	provides all necessary storage.
40  *
41  */
42 
43 /*****************************************************************************
44 *
45 * Map
46 *
47 * Map is an associative array.  By providing a key, the caller can retrieve
48 * an object from the map.  All objects in the map have an associated key,
49 * as specified by the caller when the object was inserted into the map.
50 * In addition to random access, the caller can traverse the map much like
51 * a linked list, either forwards from the first object or backwards from
52 * the last object.  The objects in the map are always traversed in
53 * order since the nodes are stored sorted.
54 *
55 * This implementation of Map uses a red black tree verified against
56 * Cormen-Leiserson-Rivest text, McGraw-Hill Edition, fourteenth
57 * printing, 1994.
58 *
59 *****************************************************************************/
60 
61 #if HAVE_CONFIG_H
62 #  include <config.h>
63 #endif				/* HAVE_CONFIG_H */
64 
65 #include <string.h>
66 #include <complib/cl_qmap.h>
67 #include <complib/cl_map.h>
68 #include <complib/cl_fleximap.h>
69 
70 /******************************************************************************
71  IMPLEMENTATION OF QUICK MAP
72 ******************************************************************************/
73 
74 /*
75  * Get the root.
76  */
77 static inline cl_map_item_t *__cl_map_root(IN const cl_qmap_t * const p_map)
78 {
79 	CL_ASSERT(p_map);
80 	return (p_map->root.p_left);
81 }
82 
83 /*
84  * Returns whether a given item is on the left of its parent.
85  */
86 static boolean_t __cl_map_is_left_child(IN const cl_map_item_t * const p_item)
87 {
88 	CL_ASSERT(p_item);
89 	CL_ASSERT(p_item->p_up);
90 	CL_ASSERT(p_item->p_up != p_item);
91 
92 	return (p_item->p_up->p_left == p_item);
93 }
94 
95 /*
96  * Retrieve the pointer to the parent's pointer to an item.
97  */
98 static cl_map_item_t **__cl_map_get_parent_ptr_to_item(IN cl_map_item_t *
99 						       const p_item)
100 {
101 	CL_ASSERT(p_item);
102 	CL_ASSERT(p_item->p_up);
103 	CL_ASSERT(p_item->p_up != p_item);
104 
105 	if (__cl_map_is_left_child(p_item))
106 		return (&p_item->p_up->p_left);
107 
108 	CL_ASSERT(p_item->p_up->p_right == p_item);
109 	return (&p_item->p_up->p_right);
110 }
111 
112 /*
113  * Rotate a node to the left.  This rotation affects the least number of links
114  * between nodes and brings the level of C up by one while increasing the depth
115  * of A one.  Note that the links to/from W, X, Y, and Z are not affected.
116  *
117  *	    R				      R
118  *	    |				      |
119  *	    A				      C
120  *	  /   \			        /   \
121  *	W       C			  A       Z
122  *	       / \			 / \
123  *	      B   Z			W   B
124  *	     / \			   / \
125  *	    X   Y			  X   Y
126  */
127 static void __cl_map_rot_left(IN cl_qmap_t * const p_map,
128 			      IN cl_map_item_t * const p_item)
129 {
130 	cl_map_item_t **pp_root;
131 
132 	CL_ASSERT(p_map);
133 	CL_ASSERT(p_item);
134 	CL_ASSERT(p_item->p_right != &p_map->nil);
135 
136 	pp_root = __cl_map_get_parent_ptr_to_item(p_item);
137 
138 	/* Point R to C instead of A. */
139 	*pp_root = p_item->p_right;
140 	/* Set C's parent to R. */
141 	(*pp_root)->p_up = p_item->p_up;
142 
143 	/* Set A's right to B */
144 	p_item->p_right = (*pp_root)->p_left;
145 	/*
146 	 * Set B's parent to A.  We trap for B being NIL since the
147 	 * caller may depend on NIL not changing.
148 	 */
149 	if ((*pp_root)->p_left != &p_map->nil)
150 		(*pp_root)->p_left->p_up = p_item;
151 
152 	/* Set C's left to A. */
153 	(*pp_root)->p_left = p_item;
154 	/* Set A's parent to C. */
155 	p_item->p_up = *pp_root;
156 }
157 
158 /*
159  * Rotate a node to the right.  This rotation affects the least number of links
160  * between nodes and brings the level of A up by one while increasing the depth
161  * of C one.  Note that the links to/from W, X, Y, and Z are not affected.
162  *
163  *	        R				     R
164  *	        |				     |
165  *	        C				     A
166  *	      /   \				   /   \
167  *	    A       Z			 W       C
168  *	   / \    				        / \
169  *	  W   B   				       B   Z
170  *	     / \				      / \
171  *	    X   Y				     X   Y
172  */
173 static void __cl_map_rot_right(IN cl_qmap_t * const p_map,
174 			       IN cl_map_item_t * const p_item)
175 {
176 	cl_map_item_t **pp_root;
177 
178 	CL_ASSERT(p_map);
179 	CL_ASSERT(p_item);
180 	CL_ASSERT(p_item->p_left != &p_map->nil);
181 
182 	/* Point R to A instead of C. */
183 	pp_root = __cl_map_get_parent_ptr_to_item(p_item);
184 	(*pp_root) = p_item->p_left;
185 	/* Set A's parent to R. */
186 	(*pp_root)->p_up = p_item->p_up;
187 
188 	/* Set C's left to B */
189 	p_item->p_left = (*pp_root)->p_right;
190 	/*
191 	 * Set B's parent to C.  We trap for B being NIL since the
192 	 * caller may depend on NIL not changing.
193 	 */
194 	if ((*pp_root)->p_right != &p_map->nil)
195 		(*pp_root)->p_right->p_up = p_item;
196 
197 	/* Set A's right to C. */
198 	(*pp_root)->p_right = p_item;
199 	/* Set C's parent to A. */
200 	p_item->p_up = *pp_root;
201 }
202 
203 void cl_qmap_init(IN cl_qmap_t * const p_map)
204 {
205 	CL_ASSERT(p_map);
206 
207 	memset(p_map, 0, sizeof(cl_qmap_t));
208 
209 	/* special setup for the root node */
210 	p_map->root.p_up = &p_map->root;
211 	p_map->root.p_left = &p_map->nil;
212 	p_map->root.p_right = &p_map->nil;
213 	p_map->root.color = CL_MAP_BLACK;
214 
215 	/* Setup the node used as terminator for all leaves. */
216 	p_map->nil.p_up = &p_map->nil;
217 	p_map->nil.p_left = &p_map->nil;
218 	p_map->nil.p_right = &p_map->nil;
219 	p_map->nil.color = CL_MAP_BLACK;
220 
221 	p_map->state = CL_INITIALIZED;
222 
223 	cl_qmap_remove_all(p_map);
224 }
225 
226 cl_map_item_t *cl_qmap_get(IN const cl_qmap_t * const p_map,
227 			   IN const uint64_t key)
228 {
229 	cl_map_item_t *p_item;
230 
231 	CL_ASSERT(p_map);
232 	CL_ASSERT(p_map->state == CL_INITIALIZED);
233 
234 	p_item = __cl_map_root(p_map);
235 
236 	while (p_item != &p_map->nil) {
237 		if (key == p_item->key)
238 			break;	/* just right */
239 
240 		if (key < p_item->key)
241 			p_item = p_item->p_left;	/* too small */
242 		else
243 			p_item = p_item->p_right;	/* too big */
244 	}
245 
246 	return (p_item);
247 }
248 
249 cl_map_item_t *cl_qmap_get_next(IN const cl_qmap_t * const p_map,
250 				IN const uint64_t key)
251 {
252 	cl_map_item_t *p_item;
253 	cl_map_item_t *p_item_found;
254 
255 	CL_ASSERT(p_map);
256 	CL_ASSERT(p_map->state == CL_INITIALIZED);
257 
258 	p_item = __cl_map_root(p_map);
259 	p_item_found = (cl_map_item_t *) & p_map->nil;
260 
261 	while (p_item != &p_map->nil) {
262 		if (key < p_item->key) {
263 			p_item_found = p_item;
264 			p_item = p_item->p_left;
265 		} else {
266 			p_item = p_item->p_right;
267 		}
268 	}
269 
270 	return (p_item_found);
271 }
272 
273 void cl_qmap_apply_func(IN const cl_qmap_t * const p_map,
274 			IN cl_pfn_qmap_apply_t pfn_func,
275 			IN const void *const context)
276 {
277 	cl_map_item_t *p_map_item;
278 
279 	/* Note that context can have any arbitrary value. */
280 	CL_ASSERT(p_map);
281 	CL_ASSERT(p_map->state == CL_INITIALIZED);
282 	CL_ASSERT(pfn_func);
283 
284 	p_map_item = cl_qmap_head(p_map);
285 	while (p_map_item != cl_qmap_end(p_map)) {
286 		pfn_func(p_map_item, (void *)context);
287 		p_map_item = cl_qmap_next(p_map_item);
288 	}
289 }
290 
291 /*
292  * Balance a tree starting at a given item back to the root.
293  */
294 static void __cl_map_ins_bal(IN cl_qmap_t * const p_map,
295 			     IN cl_map_item_t * p_item)
296 {
297 	cl_map_item_t *p_grand_uncle;
298 
299 	CL_ASSERT(p_map);
300 	CL_ASSERT(p_item);
301 	CL_ASSERT(p_item != &p_map->root);
302 
303 	while (p_item->p_up->color == CL_MAP_RED) {
304 		if (__cl_map_is_left_child(p_item->p_up)) {
305 			p_grand_uncle = p_item->p_up->p_up->p_right;
306 			CL_ASSERT(p_grand_uncle);
307 			if (p_grand_uncle->color == CL_MAP_RED) {
308 				p_grand_uncle->color = CL_MAP_BLACK;
309 				p_item->p_up->color = CL_MAP_BLACK;
310 				p_item->p_up->p_up->color = CL_MAP_RED;
311 				p_item = p_item->p_up->p_up;
312 				continue;
313 			}
314 
315 			if (!__cl_map_is_left_child(p_item)) {
316 				p_item = p_item->p_up;
317 				__cl_map_rot_left(p_map, p_item);
318 			}
319 			p_item->p_up->color = CL_MAP_BLACK;
320 			p_item->p_up->p_up->color = CL_MAP_RED;
321 			__cl_map_rot_right(p_map, p_item->p_up->p_up);
322 		} else {
323 			p_grand_uncle = p_item->p_up->p_up->p_left;
324 			CL_ASSERT(p_grand_uncle);
325 			if (p_grand_uncle->color == CL_MAP_RED) {
326 				p_grand_uncle->color = CL_MAP_BLACK;
327 				p_item->p_up->color = CL_MAP_BLACK;
328 				p_item->p_up->p_up->color = CL_MAP_RED;
329 				p_item = p_item->p_up->p_up;
330 				continue;
331 			}
332 
333 			if (__cl_map_is_left_child(p_item)) {
334 				p_item = p_item->p_up;
335 				__cl_map_rot_right(p_map, p_item);
336 			}
337 			p_item->p_up->color = CL_MAP_BLACK;
338 			p_item->p_up->p_up->color = CL_MAP_RED;
339 			__cl_map_rot_left(p_map, p_item->p_up->p_up);
340 		}
341 	}
342 }
343 
344 cl_map_item_t *cl_qmap_insert(IN cl_qmap_t * const p_map,
345 			      IN const uint64_t key,
346 			      IN cl_map_item_t * const p_item)
347 {
348 	cl_map_item_t *p_insert_at, *p_comp_item;
349 
350 	CL_ASSERT(p_map);
351 	CL_ASSERT(p_map->state == CL_INITIALIZED);
352 	CL_ASSERT(p_item);
353 	CL_ASSERT(p_map->root.p_up == &p_map->root);
354 	CL_ASSERT(p_map->root.color != CL_MAP_RED);
355 	CL_ASSERT(p_map->nil.color != CL_MAP_RED);
356 
357 	p_item->p_left = &p_map->nil;
358 	p_item->p_right = &p_map->nil;
359 	p_item->key = key;
360 	p_item->color = CL_MAP_RED;
361 
362 	/* Find the insertion location. */
363 	p_insert_at = &p_map->root;
364 	p_comp_item = __cl_map_root(p_map);
365 
366 	while (p_comp_item != &p_map->nil) {
367 		p_insert_at = p_comp_item;
368 
369 		if (key == p_insert_at->key)
370 			return (p_insert_at);
371 
372 		/* Traverse the tree until the correct insertion point is found. */
373 		if (key < p_insert_at->key)
374 			p_comp_item = p_insert_at->p_left;
375 		else
376 			p_comp_item = p_insert_at->p_right;
377 	}
378 
379 	CL_ASSERT(p_insert_at != &p_map->nil);
380 	CL_ASSERT(p_comp_item == &p_map->nil);
381 	/* Insert the item. */
382 	if (p_insert_at == &p_map->root) {
383 		p_insert_at->p_left = p_item;
384 		/*
385 		 * Primitive insert places the new item in front of
386 		 * the existing item.
387 		 */
388 		__cl_primitive_insert(&p_map->nil.pool_item.list_item,
389 				      &p_item->pool_item.list_item);
390 	} else if (key < p_insert_at->key) {
391 		p_insert_at->p_left = p_item;
392 		/*
393 		 * Primitive insert places the new item in front of
394 		 * the existing item.
395 		 */
396 		__cl_primitive_insert(&p_insert_at->pool_item.list_item,
397 				      &p_item->pool_item.list_item);
398 	} else {
399 		p_insert_at->p_right = p_item;
400 		/*
401 		 * Primitive insert places the new item in front of
402 		 * the existing item.
403 		 */
404 		__cl_primitive_insert(p_insert_at->pool_item.list_item.p_next,
405 				      &p_item->pool_item.list_item);
406 	}
407 	/* Increase the count. */
408 	p_map->count++;
409 
410 	p_item->p_up = p_insert_at;
411 
412 	/*
413 	 * We have added depth to this section of the tree.
414 	 * Rebalance as necessary as we retrace our path through the tree
415 	 * and update colors.
416 	 */
417 	__cl_map_ins_bal(p_map, p_item);
418 
419 	__cl_map_root(p_map)->color = CL_MAP_BLACK;
420 
421 	/*
422 	 * Note that it is not necessary to re-color the nil node black because all
423 	 * red color assignments are made via the p_up pointer, and nil is never
424 	 * set as the value of a p_up pointer.
425 	 */
426 
427 #ifdef _DEBUG_
428 	/* Set the pointer to the map in the map item for consistency checking. */
429 	p_item->p_map = p_map;
430 #endif
431 
432 	return (p_item);
433 }
434 
435 static void __cl_map_del_bal(IN cl_qmap_t * const p_map,
436 			     IN cl_map_item_t * p_item)
437 {
438 	cl_map_item_t *p_uncle;
439 
440 	while ((p_item->color != CL_MAP_RED) && (p_item->p_up != &p_map->root)) {
441 		if (__cl_map_is_left_child(p_item)) {
442 			p_uncle = p_item->p_up->p_right;
443 
444 			if (p_uncle->color == CL_MAP_RED) {
445 				p_uncle->color = CL_MAP_BLACK;
446 				p_item->p_up->color = CL_MAP_RED;
447 				__cl_map_rot_left(p_map, p_item->p_up);
448 				p_uncle = p_item->p_up->p_right;
449 			}
450 
451 			if (p_uncle->p_right->color != CL_MAP_RED) {
452 				if (p_uncle->p_left->color != CL_MAP_RED) {
453 					p_uncle->color = CL_MAP_RED;
454 					p_item = p_item->p_up;
455 					continue;
456 				}
457 
458 				p_uncle->p_left->color = CL_MAP_BLACK;
459 				p_uncle->color = CL_MAP_RED;
460 				__cl_map_rot_right(p_map, p_uncle);
461 				p_uncle = p_item->p_up->p_right;
462 			}
463 			p_uncle->color = p_item->p_up->color;
464 			p_item->p_up->color = CL_MAP_BLACK;
465 			p_uncle->p_right->color = CL_MAP_BLACK;
466 			__cl_map_rot_left(p_map, p_item->p_up);
467 			break;
468 		} else {
469 			p_uncle = p_item->p_up->p_left;
470 
471 			if (p_uncle->color == CL_MAP_RED) {
472 				p_uncle->color = CL_MAP_BLACK;
473 				p_item->p_up->color = CL_MAP_RED;
474 				__cl_map_rot_right(p_map, p_item->p_up);
475 				p_uncle = p_item->p_up->p_left;
476 			}
477 
478 			if (p_uncle->p_left->color != CL_MAP_RED) {
479 				if (p_uncle->p_right->color != CL_MAP_RED) {
480 					p_uncle->color = CL_MAP_RED;
481 					p_item = p_item->p_up;
482 					continue;
483 				}
484 
485 				p_uncle->p_right->color = CL_MAP_BLACK;
486 				p_uncle->color = CL_MAP_RED;
487 				__cl_map_rot_left(p_map, p_uncle);
488 				p_uncle = p_item->p_up->p_left;
489 			}
490 			p_uncle->color = p_item->p_up->color;
491 			p_item->p_up->color = CL_MAP_BLACK;
492 			p_uncle->p_left->color = CL_MAP_BLACK;
493 			__cl_map_rot_right(p_map, p_item->p_up);
494 			break;
495 		}
496 	}
497 	p_item->color = CL_MAP_BLACK;
498 }
499 
500 void cl_qmap_remove_item(IN cl_qmap_t * const p_map,
501 			 IN cl_map_item_t * const p_item)
502 {
503 	cl_map_item_t *p_child, *p_del_item;
504 
505 	CL_ASSERT(p_map);
506 	CL_ASSERT(p_map->state == CL_INITIALIZED);
507 	CL_ASSERT(p_item);
508 
509 	if (p_item == cl_qmap_end(p_map))
510 		return;
511 
512 	/* must be checked after comparing to cl_qmap_end, since
513 	   the end is not a valid item. */
514 	CL_ASSERT(p_item->p_map == p_map);
515 
516 	if ((p_item->p_right == &p_map->nil) || (p_item->p_left == &p_map->nil)) {
517 		/* The item being removed has children on at most on side. */
518 		p_del_item = p_item;
519 	} else {
520 		/*
521 		 * The item being removed has children on both side.
522 		 * We select the item that will replace it.  After removing
523 		 * the substitute item and rebalancing, the tree will have the
524 		 * correct topology.  Exchanging the substitute for the item
525 		 * will finalize the removal.
526 		 */
527 		p_del_item = cl_qmap_next(p_item);
528 		CL_ASSERT(p_del_item != &p_map->nil);
529 	}
530 
531 	/* Remove the item from the list. */
532 	__cl_primitive_remove(&p_item->pool_item.list_item);
533 	/* Decrement the item count. */
534 	p_map->count--;
535 
536 	/* Get the pointer to the new root's child, if any. */
537 	if (p_del_item->p_left != &p_map->nil)
538 		p_child = p_del_item->p_left;
539 	else
540 		p_child = p_del_item->p_right;
541 
542 	/*
543 	 * This assignment may modify the parent pointer of the nil node.
544 	 * This is inconsequential.
545 	 */
546 	p_child->p_up = p_del_item->p_up;
547 	(*__cl_map_get_parent_ptr_to_item(p_del_item)) = p_child;
548 
549 	if (p_del_item->color != CL_MAP_RED)
550 		__cl_map_del_bal(p_map, p_child);
551 
552 	/*
553 	 * Note that the splicing done below does not need to occur before
554 	 * the tree is balanced, since the actual topology changes are made by the
555 	 * preceding code.  The topology is preserved by the color assignment made
556 	 * below (reader should be reminded that p_del_item == p_item in some cases).
557 	 */
558 	if (p_del_item != p_item) {
559 		/*
560 		 * Finalize the removal of the specified item by exchanging it with
561 		 * the substitute which we removed above.
562 		 */
563 		p_del_item->p_up = p_item->p_up;
564 		p_del_item->p_left = p_item->p_left;
565 		p_del_item->p_right = p_item->p_right;
566 		(*__cl_map_get_parent_ptr_to_item(p_item)) = p_del_item;
567 		p_item->p_right->p_up = p_del_item;
568 		p_item->p_left->p_up = p_del_item;
569 		p_del_item->color = p_item->color;
570 	}
571 
572 	CL_ASSERT(p_map->nil.color != CL_MAP_RED);
573 
574 #ifdef _DEBUG_
575 	/* Clear the pointer to the map since the item has been removed. */
576 	p_item->p_map = NULL;
577 #endif
578 }
579 
580 cl_map_item_t *cl_qmap_remove(IN cl_qmap_t * const p_map, IN const uint64_t key)
581 {
582 	cl_map_item_t *p_item;
583 
584 	CL_ASSERT(p_map);
585 	CL_ASSERT(p_map->state == CL_INITIALIZED);
586 
587 	/* Seek the node with the specified key */
588 	p_item = cl_qmap_get(p_map, key);
589 
590 	cl_qmap_remove_item(p_map, p_item);
591 
592 	return (p_item);
593 }
594 
595 void cl_qmap_merge(OUT cl_qmap_t * const p_dest_map,
596 		   IN OUT cl_qmap_t * const p_src_map)
597 {
598 	cl_map_item_t *p_item, *p_item2, *p_next;
599 
600 	CL_ASSERT(p_dest_map);
601 	CL_ASSERT(p_src_map);
602 
603 	p_item = cl_qmap_head(p_src_map);
604 
605 	while (p_item != cl_qmap_end(p_src_map)) {
606 		p_next = cl_qmap_next(p_item);
607 
608 		/* Remove the item from its current map. */
609 		cl_qmap_remove_item(p_src_map, p_item);
610 		/* Insert the item into the destination map. */
611 		p_item2 =
612 		    cl_qmap_insert(p_dest_map, cl_qmap_key(p_item), p_item);
613 		/* Check that the item was successfully inserted. */
614 		if (p_item2 != p_item) {
615 			/* Put the item in back in the source map. */
616 			p_item2 =
617 			    cl_qmap_insert(p_src_map, cl_qmap_key(p_item),
618 					   p_item);
619 			CL_ASSERT(p_item2 == p_item);
620 		}
621 		p_item = p_next;
622 	}
623 }
624 
625 static void __cl_qmap_delta_move(IN OUT cl_qmap_t * const p_dest,
626 				 IN OUT cl_qmap_t * const p_src,
627 				 IN OUT cl_map_item_t ** const pp_item)
628 {
629 	cl_map_item_t __attribute__((__unused__)) *p_temp;
630 	cl_map_item_t *p_next;
631 
632 	/*
633 	 * Get the next item so that we can ensure that pp_item points to
634 	 * a valid item upon return from the function.
635 	 */
636 	p_next = cl_qmap_next(*pp_item);
637 	/* Move the old item from its current map the the old map. */
638 	cl_qmap_remove_item(p_src, *pp_item);
639 	p_temp = cl_qmap_insert(p_dest, cl_qmap_key(*pp_item), *pp_item);
640 	/* We should never have duplicates. */
641 	CL_ASSERT(p_temp == *pp_item);
642 	/* Point pp_item to a valid item in the source map. */
643 	(*pp_item) = p_next;
644 }
645 
646 void cl_qmap_delta(IN OUT cl_qmap_t * const p_map1,
647 		   IN OUT cl_qmap_t * const p_map2,
648 		   OUT cl_qmap_t * const p_new, OUT cl_qmap_t * const p_old)
649 {
650 	cl_map_item_t *p_item1, *p_item2;
651 	uint64_t key1, key2;
652 
653 	CL_ASSERT(p_map1);
654 	CL_ASSERT(p_map2);
655 	CL_ASSERT(p_new);
656 	CL_ASSERT(p_old);
657 	CL_ASSERT(cl_is_qmap_empty(p_new));
658 	CL_ASSERT(cl_is_qmap_empty(p_old));
659 
660 	p_item1 = cl_qmap_head(p_map1);
661 	p_item2 = cl_qmap_head(p_map2);
662 
663 	while (p_item1 != cl_qmap_end(p_map1) && p_item2 != cl_qmap_end(p_map2)) {
664 		key1 = cl_qmap_key(p_item1);
665 		key2 = cl_qmap_key(p_item2);
666 		if (key1 < key2) {
667 			/* We found an old item. */
668 			__cl_qmap_delta_move(p_old, p_map1, &p_item1);
669 		} else if (key1 > key2) {
670 			/* We found a new item. */
671 			__cl_qmap_delta_move(p_new, p_map2, &p_item2);
672 		} else {
673 			/* Move both forward since they have the same key. */
674 			p_item1 = cl_qmap_next(p_item1);
675 			p_item2 = cl_qmap_next(p_item2);
676 		}
677 	}
678 
679 	/* Process the remainder if the end of either source map was reached. */
680 	while (p_item2 != cl_qmap_end(p_map2))
681 		__cl_qmap_delta_move(p_new, p_map2, &p_item2);
682 
683 	while (p_item1 != cl_qmap_end(p_map1))
684 		__cl_qmap_delta_move(p_old, p_map1, &p_item1);
685 }
686 
687 /******************************************************************************
688  IMPLEMENTATION OF MAP
689 ******************************************************************************/
690 
691 #define MAP_GROW_SIZE 32
692 
693 void cl_map_construct(IN cl_map_t * const p_map)
694 {
695 	CL_ASSERT(p_map);
696 
697 	cl_qpool_construct(&p_map->pool);
698 }
699 
700 cl_status_t cl_map_init(IN cl_map_t * const p_map, IN const uint32_t min_items)
701 {
702 	uint32_t grow_size;
703 
704 	CL_ASSERT(p_map);
705 
706 	cl_qmap_init(&p_map->qmap);
707 
708 	/*
709 	 * We will grow by min_items/8 items at a time, with a minimum of
710 	 * MAP_GROW_SIZE.
711 	 */
712 	grow_size = min_items >> 3;
713 	if (grow_size < MAP_GROW_SIZE)
714 		grow_size = MAP_GROW_SIZE;
715 
716 	return (cl_qpool_init(&p_map->pool, min_items, 0, grow_size,
717 			      sizeof(cl_map_obj_t), NULL, NULL, NULL));
718 }
719 
720 void cl_map_destroy(IN cl_map_t * const p_map)
721 {
722 	CL_ASSERT(p_map);
723 
724 	cl_qpool_destroy(&p_map->pool);
725 }
726 
727 void *cl_map_insert(IN cl_map_t * const p_map,
728 		    IN const uint64_t key, IN const void *const p_object)
729 {
730 	cl_map_obj_t *p_map_obj, *p_obj_at_key;
731 
732 	CL_ASSERT(p_map);
733 
734 	p_map_obj = (cl_map_obj_t *) cl_qpool_get(&p_map->pool);
735 
736 	if (!p_map_obj)
737 		return (NULL);
738 
739 	cl_qmap_set_obj(p_map_obj, p_object);
740 
741 	p_obj_at_key =
742 	    (cl_map_obj_t *) cl_qmap_insert(&p_map->qmap, key,
743 					    &p_map_obj->item);
744 
745 	/* Return the item to the pool if insertion failed. */
746 	if (p_obj_at_key != p_map_obj)
747 		cl_qpool_put(&p_map->pool, &p_map_obj->item.pool_item);
748 
749 	return (cl_qmap_obj(p_obj_at_key));
750 }
751 
752 void *cl_map_get(IN const cl_map_t * const p_map, IN const uint64_t key)
753 {
754 	cl_map_item_t *p_item;
755 
756 	CL_ASSERT(p_map);
757 
758 	p_item = cl_qmap_get(&p_map->qmap, key);
759 
760 	if (p_item == cl_qmap_end(&p_map->qmap))
761 		return (NULL);
762 
763 	return (cl_qmap_obj(PARENT_STRUCT(p_item, cl_map_obj_t, item)));
764 }
765 
766 void *cl_map_get_next(IN const cl_map_t * const p_map, IN const uint64_t key)
767 {
768 	cl_map_item_t *p_item;
769 
770 	CL_ASSERT(p_map);
771 
772 	p_item = cl_qmap_get_next(&p_map->qmap, key);
773 
774 	if (p_item == cl_qmap_end(&p_map->qmap))
775 		return (NULL);
776 
777 	return (cl_qmap_obj(PARENT_STRUCT(p_item, cl_map_obj_t, item)));
778 }
779 
780 void cl_map_remove_item(IN cl_map_t * const p_map,
781 			IN const cl_map_iterator_t itor)
782 {
783 	CL_ASSERT(itor->p_map == &p_map->qmap);
784 
785 	if (itor == cl_map_end(p_map))
786 		return;
787 
788 	cl_qmap_remove_item(&p_map->qmap, (cl_map_item_t *) itor);
789 	cl_qpool_put(&p_map->pool, &((cl_map_item_t *) itor)->pool_item);
790 }
791 
792 void *cl_map_remove(IN cl_map_t * const p_map, IN const uint64_t key)
793 {
794 	cl_map_item_t *p_item;
795 	void *p_obj;
796 
797 	CL_ASSERT(p_map);
798 
799 	p_item = cl_qmap_remove(&p_map->qmap, key);
800 
801 	if (p_item == cl_qmap_end(&p_map->qmap))
802 		return (NULL);
803 
804 	p_obj = cl_qmap_obj((cl_map_obj_t *) p_item);
805 	cl_qpool_put(&p_map->pool, &p_item->pool_item);
806 
807 	return (p_obj);
808 }
809 
810 void cl_map_remove_all(IN cl_map_t * const p_map)
811 {
812 	cl_map_item_t *p_item;
813 
814 	CL_ASSERT(p_map);
815 
816 	/* Return all map items to the pool. */
817 	while (!cl_is_qmap_empty(&p_map->qmap)) {
818 		p_item = cl_qmap_head(&p_map->qmap);
819 		cl_qmap_remove_item(&p_map->qmap, p_item);
820 		cl_qpool_put(&p_map->pool, &p_item->pool_item);
821 
822 		if (!cl_is_qmap_empty(&p_map->qmap)) {
823 			p_item = cl_qmap_tail(&p_map->qmap);
824 			cl_qmap_remove_item(&p_map->qmap, p_item);
825 			cl_qpool_put(&p_map->pool, &p_item->pool_item);
826 		}
827 	}
828 }
829 
830 cl_status_t cl_map_merge(OUT cl_map_t * const p_dest_map,
831 			 IN OUT cl_map_t * const p_src_map)
832 {
833 	cl_status_t status = CL_SUCCESS;
834 	cl_map_iterator_t itor, next;
835 	uint64_t key;
836 	void *p_obj, *p_obj2;
837 
838 	CL_ASSERT(p_dest_map);
839 	CL_ASSERT(p_src_map);
840 
841 	itor = cl_map_head(p_src_map);
842 	while (itor != cl_map_end(p_src_map)) {
843 		next = cl_map_next(itor);
844 
845 		p_obj = cl_map_obj(itor);
846 		key = cl_map_key(itor);
847 
848 		cl_map_remove_item(p_src_map, itor);
849 
850 		/* Insert the object into the destination map. */
851 		p_obj2 = cl_map_insert(p_dest_map, key, p_obj);
852 		/* Trap for failure. */
853 		if (p_obj != p_obj2) {
854 			if (!p_obj2)
855 				status = CL_INSUFFICIENT_MEMORY;
856 			/* Put the object back in the source map.  This must succeed. */
857 			p_obj2 = cl_map_insert(p_src_map, key, p_obj);
858 			CL_ASSERT(p_obj == p_obj2);
859 			/* If the failure was due to insufficient memory, return. */
860 			if (status != CL_SUCCESS)
861 				return (status);
862 		}
863 		itor = next;
864 	}
865 
866 	return (CL_SUCCESS);
867 }
868 
869 static void __cl_map_revert(IN OUT cl_map_t * const p_map1,
870 			    IN OUT cl_map_t * const p_map2,
871 			    IN OUT cl_map_t * const p_new,
872 			    IN OUT cl_map_t * const p_old)
873 {
874 	cl_status_t __attribute__((__unused__)) status;
875 
876 	/* Restore the initial state. */
877 	status = cl_map_merge(p_map1, p_old);
878 	CL_ASSERT(status == CL_SUCCESS);
879 	status = cl_map_merge(p_map2, p_new);
880 	CL_ASSERT(status == CL_SUCCESS);
881 }
882 
883 static cl_status_t __cl_map_delta_move(OUT cl_map_t * const p_dest,
884 				       IN OUT cl_map_t * const p_src,
885 				       IN OUT cl_map_iterator_t * const p_itor)
886 {
887 	cl_map_iterator_t next;
888 	void *p_obj, *p_obj2;
889 	uint64_t key;
890 
891 	/* Get a valid iterator so we can continue the loop. */
892 	next = cl_map_next(*p_itor);
893 	/* Get the pointer to the object for insertion. */
894 	p_obj = cl_map_obj(*p_itor);
895 	/* Get the key for the object. */
896 	key = cl_map_key(*p_itor);
897 	/* Move the object. */
898 	cl_map_remove_item(p_src, *p_itor);
899 	p_obj2 = cl_map_insert(p_dest, key, p_obj);
900 	/* Check for failure. We should never get a duplicate. */
901 	if (!p_obj2) {
902 		p_obj2 = cl_map_insert(p_src, key, p_obj);
903 		CL_ASSERT(p_obj2 == p_obj);
904 		return (CL_INSUFFICIENT_MEMORY);
905 	}
906 
907 	/* We should never get a duplicate */
908 	CL_ASSERT(p_obj == p_obj2);
909 	/* Update the iterator so that it is valid. */
910 	(*p_itor) = next;
911 
912 	return (CL_SUCCESS);
913 }
914 
915 cl_status_t cl_map_delta(IN OUT cl_map_t * const p_map1,
916 			 IN OUT cl_map_t * const p_map2,
917 			 OUT cl_map_t * const p_new, OUT cl_map_t * const p_old)
918 {
919 	cl_map_iterator_t itor1, itor2;
920 	uint64_t key1, key2;
921 	cl_status_t status;
922 
923 	CL_ASSERT(p_map1);
924 	CL_ASSERT(p_map2);
925 	CL_ASSERT(p_new);
926 	CL_ASSERT(p_old);
927 	CL_ASSERT(cl_is_map_empty(p_new));
928 	CL_ASSERT(cl_is_map_empty(p_old));
929 
930 	itor1 = cl_map_head(p_map1);
931 	itor2 = cl_map_head(p_map2);
932 
933 	/*
934 	 * Note that the check is for the end, since duplicate items will remain
935 	 * in their respective maps.
936 	 */
937 	while (itor1 != cl_map_end(p_map1) && itor2 != cl_map_end(p_map2)) {
938 		key1 = cl_map_key(itor1);
939 		key2 = cl_map_key(itor2);
940 		if (key1 < key2) {
941 			status = __cl_map_delta_move(p_old, p_map1, &itor1);
942 			/* Check for failure. */
943 			if (status != CL_SUCCESS) {
944 				/* Restore the initial state. */
945 				__cl_map_revert(p_map1, p_map2, p_new, p_old);
946 				/* Return the failure status. */
947 				return (status);
948 			}
949 		} else if (key1 > key2) {
950 			status = __cl_map_delta_move(p_new, p_map2, &itor2);
951 			if (status != CL_SUCCESS) {
952 				/* Restore the initial state. */
953 				__cl_map_revert(p_map1, p_map2, p_new, p_old);
954 				/* Return the failure status. */
955 				return (status);
956 			}
957 		} else {
958 			/* Move both forward since they have the same key. */
959 			itor1 = cl_map_next(itor1);
960 			itor2 = cl_map_next(itor2);
961 		}
962 	}
963 
964 	/* Process the remainder if either source map is empty. */
965 	while (itor2 != cl_map_end(p_map2)) {
966 		status = __cl_map_delta_move(p_new, p_map2, &itor2);
967 		if (status != CL_SUCCESS) {
968 			/* Restore the initial state. */
969 			__cl_map_revert(p_map1, p_map2, p_new, p_old);
970 			/* Return the failure status. */
971 			return (status);
972 		}
973 	}
974 
975 	while (itor1 != cl_map_end(p_map1)) {
976 		status = __cl_map_delta_move(p_old, p_map1, &itor1);
977 		if (status != CL_SUCCESS) {
978 			/* Restore the initial state. */
979 			__cl_map_revert(p_map1, p_map2, p_new, p_old);
980 			/* Return the failure status. */
981 			return (status);
982 		}
983 	}
984 
985 	return (CL_SUCCESS);
986 }
987 
988 /******************************************************************************
989  IMPLEMENTATION OF FLEXI MAP
990 ******************************************************************************/
991 
992 /*
993  * Get the root.
994  */
995 static inline cl_fmap_item_t *__cl_fmap_root(IN const cl_fmap_t * const p_map)
996 {
997 	CL_ASSERT(p_map);
998 	return (p_map->root.p_left);
999 }
1000 
1001 /*
1002  * Returns whether a given item is on the left of its parent.
1003  */
1004 static boolean_t __cl_fmap_is_left_child(IN const cl_fmap_item_t * const p_item)
1005 {
1006 	CL_ASSERT(p_item);
1007 	CL_ASSERT(p_item->p_up);
1008 	CL_ASSERT(p_item->p_up != p_item);
1009 
1010 	return (p_item->p_up->p_left == p_item);
1011 }
1012 
1013 /*
1014  * Retrieve the pointer to the parent's pointer to an item.
1015  */
1016 static cl_fmap_item_t **__cl_fmap_get_parent_ptr_to_item(IN cl_fmap_item_t *
1017 							 const p_item)
1018 {
1019 	CL_ASSERT(p_item);
1020 	CL_ASSERT(p_item->p_up);
1021 	CL_ASSERT(p_item->p_up != p_item);
1022 
1023 	if (__cl_fmap_is_left_child(p_item))
1024 		return (&p_item->p_up->p_left);
1025 
1026 	CL_ASSERT(p_item->p_up->p_right == p_item);
1027 	return (&p_item->p_up->p_right);
1028 }
1029 
1030 /*
1031  * Rotate a node to the left.  This rotation affects the least number of links
1032  * between nodes and brings the level of C up by one while increasing the depth
1033  * of A one.  Note that the links to/from W, X, Y, and Z are not affected.
1034  *
1035  *	    R				      R
1036  *	    |				      |
1037  *	    A				      C
1038  *	  /   \			        /   \
1039  *	W       C			  A       Z
1040  *	       / \			 / \
1041  *	      B   Z			W   B
1042  *	     / \			   / \
1043  *	    X   Y			  X   Y
1044  */
1045 static void __cl_fmap_rot_left(IN cl_fmap_t * const p_map,
1046 			       IN cl_fmap_item_t * const p_item)
1047 {
1048 	cl_fmap_item_t **pp_root;
1049 
1050 	CL_ASSERT(p_map);
1051 	CL_ASSERT(p_item);
1052 	CL_ASSERT(p_item->p_right != &p_map->nil);
1053 
1054 	pp_root = __cl_fmap_get_parent_ptr_to_item(p_item);
1055 
1056 	/* Point R to C instead of A. */
1057 	*pp_root = p_item->p_right;
1058 	/* Set C's parent to R. */
1059 	(*pp_root)->p_up = p_item->p_up;
1060 
1061 	/* Set A's right to B */
1062 	p_item->p_right = (*pp_root)->p_left;
1063 	/*
1064 	 * Set B's parent to A.  We trap for B being NIL since the
1065 	 * caller may depend on NIL not changing.
1066 	 */
1067 	if ((*pp_root)->p_left != &p_map->nil)
1068 		(*pp_root)->p_left->p_up = p_item;
1069 
1070 	/* Set C's left to A. */
1071 	(*pp_root)->p_left = p_item;
1072 	/* Set A's parent to C. */
1073 	p_item->p_up = *pp_root;
1074 }
1075 
1076 /*
1077  * Rotate a node to the right.  This rotation affects the least number of links
1078  * between nodes and brings the level of A up by one while increasing the depth
1079  * of C one.  Note that the links to/from W, X, Y, and Z are not affected.
1080  *
1081  *	        R				     R
1082  *	        |				     |
1083  *	        C				     A
1084  *	      /   \				   /   \
1085  *	    A       Z			 W       C
1086  *	   / \    				        / \
1087  *	  W   B   				       B   Z
1088  *	     / \				      / \
1089  *	    X   Y				     X   Y
1090  */
1091 static void __cl_fmap_rot_right(IN cl_fmap_t * const p_map,
1092 				IN cl_fmap_item_t * const p_item)
1093 {
1094 	cl_fmap_item_t **pp_root;
1095 
1096 	CL_ASSERT(p_map);
1097 	CL_ASSERT(p_item);
1098 	CL_ASSERT(p_item->p_left != &p_map->nil);
1099 
1100 	/* Point R to A instead of C. */
1101 	pp_root = __cl_fmap_get_parent_ptr_to_item(p_item);
1102 	(*pp_root) = p_item->p_left;
1103 	/* Set A's parent to R. */
1104 	(*pp_root)->p_up = p_item->p_up;
1105 
1106 	/* Set C's left to B */
1107 	p_item->p_left = (*pp_root)->p_right;
1108 	/*
1109 	 * Set B's parent to C.  We trap for B being NIL since the
1110 	 * caller may depend on NIL not changing.
1111 	 */
1112 	if ((*pp_root)->p_right != &p_map->nil)
1113 		(*pp_root)->p_right->p_up = p_item;
1114 
1115 	/* Set A's right to C. */
1116 	(*pp_root)->p_right = p_item;
1117 	/* Set C's parent to A. */
1118 	p_item->p_up = *pp_root;
1119 }
1120 
1121 void cl_fmap_init(IN cl_fmap_t * const p_map, IN cl_pfn_fmap_cmp_t pfn_compare)
1122 {
1123 	CL_ASSERT(p_map);
1124 	CL_ASSERT(pfn_compare);
1125 
1126 	memset(p_map, 0, sizeof(cl_fmap_t));
1127 
1128 	/* special setup for the root node */
1129 	p_map->root.p_up = &p_map->root;
1130 	p_map->root.p_left = &p_map->nil;
1131 	p_map->root.p_right = &p_map->nil;
1132 	p_map->root.color = CL_MAP_BLACK;
1133 
1134 	/* Setup the node used as terminator for all leaves. */
1135 	p_map->nil.p_up = &p_map->nil;
1136 	p_map->nil.p_left = &p_map->nil;
1137 	p_map->nil.p_right = &p_map->nil;
1138 	p_map->nil.color = CL_MAP_BLACK;
1139 
1140 	/* Store the compare function pointer. */
1141 	p_map->pfn_compare = pfn_compare;
1142 
1143 	p_map->state = CL_INITIALIZED;
1144 
1145 	cl_fmap_remove_all(p_map);
1146 }
1147 
1148 cl_fmap_item_t *cl_fmap_match(IN const cl_fmap_t * const p_map,
1149 			      IN const void *const p_key,
1150 			      IN cl_pfn_fmap_cmp_t pfn_compare)
1151 {
1152 	cl_fmap_item_t *p_item;
1153 	int cmp;
1154 
1155 	CL_ASSERT(p_map);
1156 	CL_ASSERT(p_map->state == CL_INITIALIZED);
1157 
1158 	p_item = __cl_fmap_root(p_map);
1159 
1160 	while (p_item != &p_map->nil) {
1161 		cmp = pfn_compare ? pfn_compare(p_key, p_item->p_key) :
1162 			p_map->pfn_compare(p_key, p_item->p_key);
1163 
1164 		if (!cmp)
1165 			break;	/* just right */
1166 
1167 		if (cmp < 0)
1168 			p_item = p_item->p_left;	/* too small */
1169 		else
1170 			p_item = p_item->p_right;	/* too big */
1171 	}
1172 
1173 	return (p_item);
1174 }
1175 
1176 cl_fmap_item_t *cl_fmap_get(IN const cl_fmap_t * const p_map,
1177 			    IN const void *const p_key)
1178 {
1179 	return cl_fmap_match(p_map, p_key, p_map->pfn_compare);
1180 }
1181 
1182 cl_fmap_item_t *cl_fmap_get_next(IN const cl_fmap_t * const p_map,
1183 				 IN const void *const p_key)
1184 {
1185 	cl_fmap_item_t *p_item;
1186 	cl_fmap_item_t *p_item_found;
1187 	int cmp;
1188 
1189 	CL_ASSERT(p_map);
1190 	CL_ASSERT(p_map->state == CL_INITIALIZED);
1191 
1192 	p_item = __cl_fmap_root(p_map);
1193 	p_item_found = (cl_fmap_item_t *) & p_map->nil;
1194 
1195 	while (p_item != &p_map->nil) {
1196 		cmp = p_map->pfn_compare(p_key, p_item->p_key);
1197 
1198 		if (cmp < 0) {
1199 			p_item_found = p_item;
1200 			p_item = p_item->p_left;	/* too small */
1201 		} else {
1202 			p_item = p_item->p_right;	/* too big or match */
1203 		}
1204 	}
1205 
1206 	return (p_item_found);
1207 }
1208 
1209 void cl_fmap_apply_func(IN const cl_fmap_t * const p_map,
1210 			IN cl_pfn_fmap_apply_t pfn_func,
1211 			IN const void *const context)
1212 {
1213 	cl_fmap_item_t *p_fmap_item;
1214 
1215 	/* Note that context can have any arbitrary value. */
1216 	CL_ASSERT(p_map);
1217 	CL_ASSERT(p_map->state == CL_INITIALIZED);
1218 	CL_ASSERT(pfn_func);
1219 
1220 	p_fmap_item = cl_fmap_head(p_map);
1221 	while (p_fmap_item != cl_fmap_end(p_map)) {
1222 		pfn_func(p_fmap_item, (void *)context);
1223 		p_fmap_item = cl_fmap_next(p_fmap_item);
1224 	}
1225 }
1226 
1227 /*
1228  * Balance a tree starting at a given item back to the root.
1229  */
1230 static void __cl_fmap_ins_bal(IN cl_fmap_t * const p_map,
1231 			      IN cl_fmap_item_t * p_item)
1232 {
1233 	cl_fmap_item_t *p_grand_uncle;
1234 
1235 	CL_ASSERT(p_map);
1236 	CL_ASSERT(p_item);
1237 	CL_ASSERT(p_item != &p_map->root);
1238 
1239 	while (p_item->p_up->color == CL_MAP_RED) {
1240 		if (__cl_fmap_is_left_child(p_item->p_up)) {
1241 			p_grand_uncle = p_item->p_up->p_up->p_right;
1242 			CL_ASSERT(p_grand_uncle);
1243 			if (p_grand_uncle->color == CL_MAP_RED) {
1244 				p_grand_uncle->color = CL_MAP_BLACK;
1245 				p_item->p_up->color = CL_MAP_BLACK;
1246 				p_item->p_up->p_up->color = CL_MAP_RED;
1247 				p_item = p_item->p_up->p_up;
1248 				continue;
1249 			}
1250 
1251 			if (!__cl_fmap_is_left_child(p_item)) {
1252 				p_item = p_item->p_up;
1253 				__cl_fmap_rot_left(p_map, p_item);
1254 			}
1255 			p_item->p_up->color = CL_MAP_BLACK;
1256 			p_item->p_up->p_up->color = CL_MAP_RED;
1257 			__cl_fmap_rot_right(p_map, p_item->p_up->p_up);
1258 		} else {
1259 			p_grand_uncle = p_item->p_up->p_up->p_left;
1260 			CL_ASSERT(p_grand_uncle);
1261 			if (p_grand_uncle->color == CL_MAP_RED) {
1262 				p_grand_uncle->color = CL_MAP_BLACK;
1263 				p_item->p_up->color = CL_MAP_BLACK;
1264 				p_item->p_up->p_up->color = CL_MAP_RED;
1265 				p_item = p_item->p_up->p_up;
1266 				continue;
1267 			}
1268 
1269 			if (__cl_fmap_is_left_child(p_item)) {
1270 				p_item = p_item->p_up;
1271 				__cl_fmap_rot_right(p_map, p_item);
1272 			}
1273 			p_item->p_up->color = CL_MAP_BLACK;
1274 			p_item->p_up->p_up->color = CL_MAP_RED;
1275 			__cl_fmap_rot_left(p_map, p_item->p_up->p_up);
1276 		}
1277 	}
1278 }
1279 
1280 cl_fmap_item_t *cl_fmap_insert(IN cl_fmap_t * const p_map,
1281 			       IN const void *const p_key,
1282 			       IN cl_fmap_item_t * const p_item)
1283 {
1284 	cl_fmap_item_t *p_insert_at, *p_comp_item;
1285 	int cmp = 0;
1286 
1287 	CL_ASSERT(p_map);
1288 	CL_ASSERT(p_map->state == CL_INITIALIZED);
1289 	CL_ASSERT(p_item);
1290 	CL_ASSERT(p_map->root.p_up == &p_map->root);
1291 	CL_ASSERT(p_map->root.color != CL_MAP_RED);
1292 	CL_ASSERT(p_map->nil.color != CL_MAP_RED);
1293 
1294 	p_item->p_left = &p_map->nil;
1295 	p_item->p_right = &p_map->nil;
1296 	p_item->p_key = p_key;
1297 	p_item->color = CL_MAP_RED;
1298 
1299 	/* Find the insertion location. */
1300 	p_insert_at = &p_map->root;
1301 	p_comp_item = __cl_fmap_root(p_map);
1302 
1303 	while (p_comp_item != &p_map->nil) {
1304 		p_insert_at = p_comp_item;
1305 
1306 		cmp = p_map->pfn_compare(p_key, p_insert_at->p_key);
1307 
1308 		if (!cmp)
1309 			return (p_insert_at);
1310 
1311 		/* Traverse the tree until the correct insertion point is found. */
1312 		if (cmp < 0)
1313 			p_comp_item = p_insert_at->p_left;
1314 		else
1315 			p_comp_item = p_insert_at->p_right;
1316 	}
1317 
1318 	CL_ASSERT(p_insert_at != &p_map->nil);
1319 	CL_ASSERT(p_comp_item == &p_map->nil);
1320 	/* Insert the item. */
1321 	if (p_insert_at == &p_map->root) {
1322 		p_insert_at->p_left = p_item;
1323 		/*
1324 		 * Primitive insert places the new item in front of
1325 		 * the existing item.
1326 		 */
1327 		__cl_primitive_insert(&p_map->nil.pool_item.list_item,
1328 				      &p_item->pool_item.list_item);
1329 	} else if (cmp < 0) {
1330 		p_insert_at->p_left = p_item;
1331 		/*
1332 		 * Primitive insert places the new item in front of
1333 		 * the existing item.
1334 		 */
1335 		__cl_primitive_insert(&p_insert_at->pool_item.list_item,
1336 				      &p_item->pool_item.list_item);
1337 	} else {
1338 		p_insert_at->p_right = p_item;
1339 		/*
1340 		 * Primitive insert places the new item in front of
1341 		 * the existing item.
1342 		 */
1343 		__cl_primitive_insert(p_insert_at->pool_item.list_item.p_next,
1344 				      &p_item->pool_item.list_item);
1345 	}
1346 	/* Increase the count. */
1347 	p_map->count++;
1348 
1349 	p_item->p_up = p_insert_at;
1350 
1351 	/*
1352 	 * We have added depth to this section of the tree.
1353 	 * Rebalance as necessary as we retrace our path through the tree
1354 	 * and update colors.
1355 	 */
1356 	__cl_fmap_ins_bal(p_map, p_item);
1357 
1358 	__cl_fmap_root(p_map)->color = CL_MAP_BLACK;
1359 
1360 	/*
1361 	 * Note that it is not necessary to re-color the nil node black because all
1362 	 * red color assignments are made via the p_up pointer, and nil is never
1363 	 * set as the value of a p_up pointer.
1364 	 */
1365 
1366 #ifdef _DEBUG_
1367 	/* Set the pointer to the map in the map item for consistency checking. */
1368 	p_item->p_map = p_map;
1369 #endif
1370 
1371 	return (p_item);
1372 }
1373 
1374 static void __cl_fmap_del_bal(IN cl_fmap_t * const p_map,
1375 			      IN cl_fmap_item_t * p_item)
1376 {
1377 	cl_fmap_item_t *p_uncle;
1378 
1379 	while ((p_item->color != CL_MAP_RED) && (p_item->p_up != &p_map->root)) {
1380 		if (__cl_fmap_is_left_child(p_item)) {
1381 			p_uncle = p_item->p_up->p_right;
1382 
1383 			if (p_uncle->color == CL_MAP_RED) {
1384 				p_uncle->color = CL_MAP_BLACK;
1385 				p_item->p_up->color = CL_MAP_RED;
1386 				__cl_fmap_rot_left(p_map, p_item->p_up);
1387 				p_uncle = p_item->p_up->p_right;
1388 			}
1389 
1390 			if (p_uncle->p_right->color != CL_MAP_RED) {
1391 				if (p_uncle->p_left->color != CL_MAP_RED) {
1392 					p_uncle->color = CL_MAP_RED;
1393 					p_item = p_item->p_up;
1394 					continue;
1395 				}
1396 
1397 				p_uncle->p_left->color = CL_MAP_BLACK;
1398 				p_uncle->color = CL_MAP_RED;
1399 				__cl_fmap_rot_right(p_map, p_uncle);
1400 				p_uncle = p_item->p_up->p_right;
1401 			}
1402 			p_uncle->color = p_item->p_up->color;
1403 			p_item->p_up->color = CL_MAP_BLACK;
1404 			p_uncle->p_right->color = CL_MAP_BLACK;
1405 			__cl_fmap_rot_left(p_map, p_item->p_up);
1406 			break;
1407 		} else {
1408 			p_uncle = p_item->p_up->p_left;
1409 
1410 			if (p_uncle->color == CL_MAP_RED) {
1411 				p_uncle->color = CL_MAP_BLACK;
1412 				p_item->p_up->color = CL_MAP_RED;
1413 				__cl_fmap_rot_right(p_map, p_item->p_up);
1414 				p_uncle = p_item->p_up->p_left;
1415 			}
1416 
1417 			if (p_uncle->p_left->color != CL_MAP_RED) {
1418 				if (p_uncle->p_right->color != CL_MAP_RED) {
1419 					p_uncle->color = CL_MAP_RED;
1420 					p_item = p_item->p_up;
1421 					continue;
1422 				}
1423 
1424 				p_uncle->p_right->color = CL_MAP_BLACK;
1425 				p_uncle->color = CL_MAP_RED;
1426 				__cl_fmap_rot_left(p_map, p_uncle);
1427 				p_uncle = p_item->p_up->p_left;
1428 			}
1429 			p_uncle->color = p_item->p_up->color;
1430 			p_item->p_up->color = CL_MAP_BLACK;
1431 			p_uncle->p_left->color = CL_MAP_BLACK;
1432 			__cl_fmap_rot_right(p_map, p_item->p_up);
1433 			break;
1434 		}
1435 	}
1436 	p_item->color = CL_MAP_BLACK;
1437 }
1438 
1439 void cl_fmap_remove_item(IN cl_fmap_t * const p_map,
1440 			 IN cl_fmap_item_t * const p_item)
1441 {
1442 	cl_fmap_item_t *p_child, *p_del_item;
1443 
1444 	CL_ASSERT(p_map);
1445 	CL_ASSERT(p_map->state == CL_INITIALIZED);
1446 	CL_ASSERT(p_item);
1447 	CL_ASSERT(p_item->p_map == p_map);
1448 
1449 	if (p_item == cl_fmap_end(p_map))
1450 		return;
1451 
1452 	if ((p_item->p_right == &p_map->nil) || (p_item->p_left == &p_map->nil)) {
1453 		/* The item being removed has children on at most on side. */
1454 		p_del_item = p_item;
1455 	} else {
1456 		/*
1457 		 * The item being removed has children on both side.
1458 		 * We select the item that will replace it.  After removing
1459 		 * the substitute item and rebalancing, the tree will have the
1460 		 * correct topology.  Exchanging the substitute for the item
1461 		 * will finalize the removal.
1462 		 */
1463 		p_del_item = cl_fmap_next(p_item);
1464 		CL_ASSERT(p_del_item != &p_map->nil);
1465 	}
1466 
1467 	/* Remove the item from the list. */
1468 	__cl_primitive_remove(&p_item->pool_item.list_item);
1469 	/* Decrement the item count. */
1470 	p_map->count--;
1471 
1472 	/* Get the pointer to the new root's child, if any. */
1473 	if (p_del_item->p_left != &p_map->nil)
1474 		p_child = p_del_item->p_left;
1475 	else
1476 		p_child = p_del_item->p_right;
1477 
1478 	/*
1479 	 * This assignment may modify the parent pointer of the nil node.
1480 	 * This is inconsequential.
1481 	 */
1482 	p_child->p_up = p_del_item->p_up;
1483 	(*__cl_fmap_get_parent_ptr_to_item(p_del_item)) = p_child;
1484 
1485 	if (p_del_item->color != CL_MAP_RED)
1486 		__cl_fmap_del_bal(p_map, p_child);
1487 
1488 	/*
1489 	 * Note that the splicing done below does not need to occur before
1490 	 * the tree is balanced, since the actual topology changes are made by the
1491 	 * preceding code.  The topology is preserved by the color assignment made
1492 	 * below (reader should be reminded that p_del_item == p_item in some cases).
1493 	 */
1494 	if (p_del_item != p_item) {
1495 		/*
1496 		 * Finalize the removal of the specified item by exchanging it with
1497 		 * the substitute which we removed above.
1498 		 */
1499 		p_del_item->p_up = p_item->p_up;
1500 		p_del_item->p_left = p_item->p_left;
1501 		p_del_item->p_right = p_item->p_right;
1502 		(*__cl_fmap_get_parent_ptr_to_item(p_item)) = p_del_item;
1503 		p_item->p_right->p_up = p_del_item;
1504 		p_item->p_left->p_up = p_del_item;
1505 		p_del_item->color = p_item->color;
1506 	}
1507 
1508 	CL_ASSERT(p_map->nil.color != CL_MAP_RED);
1509 
1510 #ifdef _DEBUG_
1511 	/* Clear the pointer to the map since the item has been removed. */
1512 	p_item->p_map = NULL;
1513 #endif
1514 }
1515 
1516 cl_fmap_item_t *cl_fmap_remove(IN cl_fmap_t * const p_map,
1517 			       IN const void *const p_key)
1518 {
1519 	cl_fmap_item_t *p_item;
1520 
1521 	CL_ASSERT(p_map);
1522 	CL_ASSERT(p_map->state == CL_INITIALIZED);
1523 
1524 	/* Seek the node with the specified key */
1525 	p_item = cl_fmap_get(p_map, p_key);
1526 
1527 	cl_fmap_remove_item(p_map, p_item);
1528 
1529 	return (p_item);
1530 }
1531 
1532 void cl_fmap_merge(OUT cl_fmap_t * const p_dest_map,
1533 		   IN OUT cl_fmap_t * const p_src_map)
1534 {
1535 	cl_fmap_item_t *p_item, *p_item2, *p_next;
1536 
1537 	CL_ASSERT(p_dest_map);
1538 	CL_ASSERT(p_src_map);
1539 
1540 	p_item = cl_fmap_head(p_src_map);
1541 
1542 	while (p_item != cl_fmap_end(p_src_map)) {
1543 		p_next = cl_fmap_next(p_item);
1544 
1545 		/* Remove the item from its current map. */
1546 		cl_fmap_remove_item(p_src_map, p_item);
1547 		/* Insert the item into the destination map. */
1548 		p_item2 =
1549 		    cl_fmap_insert(p_dest_map, cl_fmap_key(p_item), p_item);
1550 		/* Check that the item was successfully inserted. */
1551 		if (p_item2 != p_item) {
1552 			/* Put the item in back in the source map. */
1553 			p_item2 =
1554 			    cl_fmap_insert(p_src_map, cl_fmap_key(p_item),
1555 					   p_item);
1556 			CL_ASSERT(p_item2 == p_item);
1557 		}
1558 		p_item = p_next;
1559 	}
1560 }
1561 
1562 static void __cl_fmap_delta_move(IN OUT cl_fmap_t * const p_dest,
1563 				 IN OUT cl_fmap_t * const p_src,
1564 				 IN OUT cl_fmap_item_t ** const pp_item)
1565 {
1566 	cl_fmap_item_t __attribute__((__unused__)) *p_temp;
1567 	cl_fmap_item_t *p_next;
1568 
1569 	/*
1570 	 * Get the next item so that we can ensure that pp_item points to
1571 	 * a valid item upon return from the function.
1572 	 */
1573 	p_next = cl_fmap_next(*pp_item);
1574 	/* Move the old item from its current map the the old map. */
1575 	cl_fmap_remove_item(p_src, *pp_item);
1576 	p_temp = cl_fmap_insert(p_dest, cl_fmap_key(*pp_item), *pp_item);
1577 	/* We should never have duplicates. */
1578 	CL_ASSERT(p_temp == *pp_item);
1579 	/* Point pp_item to a valid item in the source map. */
1580 	(*pp_item) = p_next;
1581 }
1582 
1583 void cl_fmap_delta(IN OUT cl_fmap_t * const p_map1,
1584 		   IN OUT cl_fmap_t * const p_map2,
1585 		   OUT cl_fmap_t * const p_new, OUT cl_fmap_t * const p_old)
1586 {
1587 	cl_fmap_item_t *p_item1, *p_item2;
1588 	int cmp;
1589 
1590 	CL_ASSERT(p_map1);
1591 	CL_ASSERT(p_map2);
1592 	CL_ASSERT(p_new);
1593 	CL_ASSERT(p_old);
1594 	CL_ASSERT(cl_is_fmap_empty(p_new));
1595 	CL_ASSERT(cl_is_fmap_empty(p_old));
1596 
1597 	p_item1 = cl_fmap_head(p_map1);
1598 	p_item2 = cl_fmap_head(p_map2);
1599 
1600 	while (p_item1 != cl_fmap_end(p_map1) && p_item2 != cl_fmap_end(p_map2)) {
1601 		cmp = p_map1->pfn_compare(cl_fmap_key(p_item1),
1602 					  cl_fmap_key(p_item2));
1603 		if (cmp < 0) {
1604 			/* We found an old item. */
1605 			__cl_fmap_delta_move(p_old, p_map1, &p_item1);
1606 		} else if (cmp > 0) {
1607 			/* We found a new item. */
1608 			__cl_fmap_delta_move(p_new, p_map2, &p_item2);
1609 		} else {
1610 			/* Move both forward since they have the same key. */
1611 			p_item1 = cl_fmap_next(p_item1);
1612 			p_item2 = cl_fmap_next(p_item2);
1613 		}
1614 	}
1615 
1616 	/* Process the remainder if the end of either source map was reached. */
1617 	while (p_item2 != cl_fmap_end(p_map2))
1618 		__cl_fmap_delta_move(p_new, p_map2, &p_item2);
1619 
1620 	while (p_item1 != cl_fmap_end(p_map1))
1621 		__cl_fmap_delta_move(p_old, p_map1, &p_item1);
1622 }
1623