/* * Copyright (c) 2004-2009 Voltaire, Inc. All rights reserved. * Copyright (c) 2002-2005 Mellanox Technologies LTD. All rights reserved. * Copyright (c) 1996-2003 Intel Corporation. All rights reserved. * * This software is available to you under a choice of one of two * licenses. You may choose to be licensed under the terms of the GNU * General Public License (GPL) Version 2, available from the file * COPYING in the main directory of this source tree, or the * OpenIB.org BSD license below: * * Redistribution and use in source and binary forms, with or * without modification, are permitted provided that the following * conditions are met: * * - Redistributions of source code must retain the above * copyright notice, this list of conditions and the following * disclaimer. * * - Redistributions in binary form must reproduce the above * copyright notice, this list of conditions and the following * disclaimer in the documentation and/or other materials * provided with the distribution. * * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, * EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF * MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND * NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS * BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN * ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN * CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE * SOFTWARE. * */ /* * Abstract: * Implementation of quick map, a binary tree where the caller always * provides all necessary storage. * */ /***************************************************************************** * * Map * * Map is an associative array. By providing a key, the caller can retrieve * an object from the map. All objects in the map have an associated key, * as specified by the caller when the object was inserted into the map. * In addition to random access, the caller can traverse the map much like * a linked list, either forwards from the first object or backwards from * the last object. The objects in the map are always traversed in * order since the nodes are stored sorted. * * This implementation of Map uses a red black tree verified against * Cormen-Leiserson-Rivest text, McGraw-Hill Edition, fourteenth * printing, 1994. * *****************************************************************************/ #include #include static inline void __cl_primitive_insert(cl_list_item_t *const p_list_item, cl_list_item_t *const p_new_item) { /* CL_ASSERT that a non-null pointer is provided. */ assert(p_list_item); /* CL_ASSERT that a non-null pointer is provided. */ assert(p_new_item); p_new_item->p_next = p_list_item; p_new_item->p_prev = p_list_item->p_prev; p_list_item->p_prev = p_new_item; p_new_item->p_prev->p_next = p_new_item; } static inline void __cl_primitive_remove(cl_list_item_t *const p_list_item) { /* CL_ASSERT that a non-null pointer is provided. */ assert(p_list_item); /* set the back pointer */ p_list_item->p_next->p_prev = p_list_item->p_prev; /* set the next pointer */ p_list_item->p_prev->p_next = p_list_item->p_next; /* if we're debugging, spruce up the pointers to help find bugs */ #if defined( _DEBUG_ ) if (p_list_item != p_list_item->p_next) { p_list_item->p_next = NULL; p_list_item->p_prev = NULL; } #endif /* defined( _DEBUG_ ) */ } /****************************************************************************** IMPLEMENTATION OF QUICK MAP ******************************************************************************/ /* * Get the root. */ static inline cl_map_item_t *__cl_map_root(const cl_qmap_t * const p_map) { assert(p_map); return (p_map->root.p_left); } /* * Returns whether a given item is on the left of its parent. */ static bool __cl_map_is_left_child(const cl_map_item_t * const p_item) { assert(p_item); assert(p_item->p_up); assert(p_item->p_up != p_item); return (p_item->p_up->p_left == p_item); } /* * Retrieve the pointer to the parent's pointer to an item. */ static cl_map_item_t **__cl_map_get_parent_ptr_to_item(cl_map_item_t * const p_item) { assert(p_item); assert(p_item->p_up); assert(p_item->p_up != p_item); if (__cl_map_is_left_child(p_item)) return (&p_item->p_up->p_left); assert(p_item->p_up->p_right == p_item); return (&p_item->p_up->p_right); } /* * Rotate a node to the left. This rotation affects the least number of links * between nodes and brings the level of C up by one while increasing the depth * of A one. Note that the links to/from W, X, Y, and Z are not affected. * * R R * | | * A C * / \ / \ * W C A Z * / \ / \ * B Z W B * / \ / \ * X Y X Y */ static void __cl_map_rot_left(cl_qmap_t * const p_map, cl_map_item_t * const p_item) { cl_map_item_t **pp_root; assert(p_map); assert(p_item); assert(p_item->p_right != &p_map->nil); pp_root = __cl_map_get_parent_ptr_to_item(p_item); /* Point R to C instead of A. */ *pp_root = p_item->p_right; /* Set C's parent to R. */ (*pp_root)->p_up = p_item->p_up; /* Set A's right to B */ p_item->p_right = (*pp_root)->p_left; /* * Set B's parent to A. We trap for B being NIL since the * caller may depend on NIL not changing. */ if ((*pp_root)->p_left != &p_map->nil) (*pp_root)->p_left->p_up = p_item; /* Set C's left to A. */ (*pp_root)->p_left = p_item; /* Set A's parent to C. */ p_item->p_up = *pp_root; } /* * Rotate a node to the right. This rotation affects the least number of links * between nodes and brings the level of A up by one while increasing the depth * of C one. Note that the links to/from W, X, Y, and Z are not affected. * * R R * | | * C A * / \ / \ * A Z W C * / \ / \ * W B B Z * / \ / \ * X Y X Y */ static void __cl_map_rot_right(cl_qmap_t * const p_map, cl_map_item_t * const p_item) { cl_map_item_t **pp_root; assert(p_map); assert(p_item); assert(p_item->p_left != &p_map->nil); /* Point R to A instead of C. */ pp_root = __cl_map_get_parent_ptr_to_item(p_item); (*pp_root) = p_item->p_left; /* Set A's parent to R. */ (*pp_root)->p_up = p_item->p_up; /* Set C's left to B */ p_item->p_left = (*pp_root)->p_right; /* * Set B's parent to C. We trap for B being NIL since the * caller may depend on NIL not changing. */ if ((*pp_root)->p_right != &p_map->nil) (*pp_root)->p_right->p_up = p_item; /* Set A's right to C. */ (*pp_root)->p_right = p_item; /* Set C's parent to A. */ p_item->p_up = *pp_root; } void cl_qmap_init(cl_qmap_t * const p_map) { assert(p_map); memset(p_map, 0, sizeof(cl_qmap_t)); /* special setup for the root node */ p_map->root.p_up = &p_map->root; p_map->root.p_left = &p_map->nil; p_map->root.p_right = &p_map->nil; p_map->root.color = CL_MAP_BLACK; /* Setup the node used as terminator for all leaves. */ p_map->nil.p_up = &p_map->nil; p_map->nil.p_left = &p_map->nil; p_map->nil.p_right = &p_map->nil; p_map->nil.color = CL_MAP_BLACK; cl_qmap_remove_all(p_map); } cl_map_item_t *cl_qmap_get(const cl_qmap_t * const p_map, const uint64_t key) { cl_map_item_t *p_item; assert(p_map); p_item = __cl_map_root(p_map); while (p_item != &p_map->nil) { if (key == p_item->key) break; /* just right */ if (key < p_item->key) p_item = p_item->p_left; /* too small */ else p_item = p_item->p_right; /* too big */ } return (p_item); } cl_map_item_t *cl_qmap_get_next(const cl_qmap_t * const p_map, const uint64_t key) { cl_map_item_t *p_item; cl_map_item_t *p_item_found; assert(p_map); p_item = __cl_map_root(p_map); p_item_found = (cl_map_item_t *) & p_map->nil; while (p_item != &p_map->nil) { if (key < p_item->key) { p_item_found = p_item; p_item = p_item->p_left; } else { p_item = p_item->p_right; } } return (p_item_found); } void cl_qmap_apply_func(const cl_qmap_t * const p_map, cl_pfn_qmap_apply_t pfn_func, const void *const context) { cl_map_item_t *p_map_item; /* Note that context can have any arbitrary value. */ assert(p_map); assert(pfn_func); p_map_item = cl_qmap_head(p_map); while (p_map_item != cl_qmap_end(p_map)) { pfn_func(p_map_item, (void *)context); p_map_item = cl_qmap_next(p_map_item); } } /* * Balance a tree starting at a given item back to the root. */ static void __cl_map_ins_bal(cl_qmap_t * const p_map, cl_map_item_t * p_item) { cl_map_item_t *p_grand_uncle; assert(p_map); assert(p_item); assert(p_item != &p_map->root); while (p_item->p_up->color == CL_MAP_RED) { if (__cl_map_is_left_child(p_item->p_up)) { p_grand_uncle = p_item->p_up->p_up->p_right; assert(p_grand_uncle); if (p_grand_uncle->color == CL_MAP_RED) { p_grand_uncle->color = CL_MAP_BLACK; p_item->p_up->color = CL_MAP_BLACK; p_item->p_up->p_up->color = CL_MAP_RED; p_item = p_item->p_up->p_up; continue; } if (!__cl_map_is_left_child(p_item)) { p_item = p_item->p_up; __cl_map_rot_left(p_map, p_item); } p_item->p_up->color = CL_MAP_BLACK; p_item->p_up->p_up->color = CL_MAP_RED; __cl_map_rot_right(p_map, p_item->p_up->p_up); } else { p_grand_uncle = p_item->p_up->p_up->p_left; assert(p_grand_uncle); if (p_grand_uncle->color == CL_MAP_RED) { p_grand_uncle->color = CL_MAP_BLACK; p_item->p_up->color = CL_MAP_BLACK; p_item->p_up->p_up->color = CL_MAP_RED; p_item = p_item->p_up->p_up; continue; } if (__cl_map_is_left_child(p_item)) { p_item = p_item->p_up; __cl_map_rot_right(p_map, p_item); } p_item->p_up->color = CL_MAP_BLACK; p_item->p_up->p_up->color = CL_MAP_RED; __cl_map_rot_left(p_map, p_item->p_up->p_up); } } } cl_map_item_t *cl_qmap_insert(cl_qmap_t * const p_map, const uint64_t key, cl_map_item_t * const p_item) { cl_map_item_t *p_insert_at, *p_comp_item; assert(p_map); assert(p_item); assert(p_map->root.p_up == &p_map->root); assert(p_map->root.color != CL_MAP_RED); assert(p_map->nil.color != CL_MAP_RED); p_item->p_left = &p_map->nil; p_item->p_right = &p_map->nil; p_item->key = key; p_item->color = CL_MAP_RED; /* Find the insertion location. */ p_insert_at = &p_map->root; p_comp_item = __cl_map_root(p_map); while (p_comp_item != &p_map->nil) { p_insert_at = p_comp_item; if (key == p_insert_at->key) return (p_insert_at); /* Traverse the tree until the correct insertion point is found. */ if (key < p_insert_at->key) p_comp_item = p_insert_at->p_left; else p_comp_item = p_insert_at->p_right; } assert(p_insert_at != &p_map->nil); assert(p_comp_item == &p_map->nil); /* Insert the item. */ if (p_insert_at == &p_map->root) { p_insert_at->p_left = p_item; /* * Primitive insert places the new item in front of * the existing item. */ __cl_primitive_insert(&p_map->nil.pool_item.list_item, &p_item->pool_item.list_item); } else if (key < p_insert_at->key) { p_insert_at->p_left = p_item; /* * Primitive insert places the new item in front of * the existing item. */ __cl_primitive_insert(&p_insert_at->pool_item.list_item, &p_item->pool_item.list_item); } else { p_insert_at->p_right = p_item; /* * Primitive insert places the new item in front of * the existing item. */ __cl_primitive_insert(p_insert_at->pool_item.list_item.p_next, &p_item->pool_item.list_item); } /* Increase the count. */ p_map->count++; p_item->p_up = p_insert_at; /* * We have added depth to this section of the tree. * Rebalance as necessary as we retrace our path through the tree * and update colors. */ __cl_map_ins_bal(p_map, p_item); __cl_map_root(p_map)->color = CL_MAP_BLACK; /* * Note that it is not necessary to re-color the nil node black because all * red color assignments are made via the p_up pointer, and nil is never * set as the value of a p_up pointer. */ #ifdef _DEBUG_ /* Set the pointer to the map in the map item for consistency checking. */ p_item->p_map = p_map; #endif return (p_item); } static void __cl_map_del_bal(cl_qmap_t * const p_map, cl_map_item_t * p_item) { cl_map_item_t *p_uncle; while ((p_item->color != CL_MAP_RED) && (p_item->p_up != &p_map->root)) { if (__cl_map_is_left_child(p_item)) { p_uncle = p_item->p_up->p_right; if (p_uncle->color == CL_MAP_RED) { p_uncle->color = CL_MAP_BLACK; p_item->p_up->color = CL_MAP_RED; __cl_map_rot_left(p_map, p_item->p_up); p_uncle = p_item->p_up->p_right; } if (p_uncle->p_right->color != CL_MAP_RED) { if (p_uncle->p_left->color != CL_MAP_RED) { p_uncle->color = CL_MAP_RED; p_item = p_item->p_up; continue; } p_uncle->p_left->color = CL_MAP_BLACK; p_uncle->color = CL_MAP_RED; __cl_map_rot_right(p_map, p_uncle); p_uncle = p_item->p_up->p_right; } p_uncle->color = p_item->p_up->color; p_item->p_up->color = CL_MAP_BLACK; p_uncle->p_right->color = CL_MAP_BLACK; __cl_map_rot_left(p_map, p_item->p_up); break; } else { p_uncle = p_item->p_up->p_left; if (p_uncle->color == CL_MAP_RED) { p_uncle->color = CL_MAP_BLACK; p_item->p_up->color = CL_MAP_RED; __cl_map_rot_right(p_map, p_item->p_up); p_uncle = p_item->p_up->p_left; } if (p_uncle->p_left->color != CL_MAP_RED) { if (p_uncle->p_right->color != CL_MAP_RED) { p_uncle->color = CL_MAP_RED; p_item = p_item->p_up; continue; } p_uncle->p_right->color = CL_MAP_BLACK; p_uncle->color = CL_MAP_RED; __cl_map_rot_left(p_map, p_uncle); p_uncle = p_item->p_up->p_left; } p_uncle->color = p_item->p_up->color; p_item->p_up->color = CL_MAP_BLACK; p_uncle->p_left->color = CL_MAP_BLACK; __cl_map_rot_right(p_map, p_item->p_up); break; } } p_item->color = CL_MAP_BLACK; } void cl_qmap_remove_item(cl_qmap_t * const p_map, cl_map_item_t * const p_item) { cl_map_item_t *p_child, *p_del_item; assert(p_map); assert(p_item); if (p_item == cl_qmap_end(p_map)) return; if ((p_item->p_right == &p_map->nil) || (p_item->p_left == &p_map->nil)) { /* The item being removed has children on at most on side. */ p_del_item = p_item; } else { /* * The item being removed has children on both side. * We select the item that will replace it. After removing * the substitute item and rebalancing, the tree will have the * correct topology. Exchanging the substitute for the item * will finalize the removal. */ p_del_item = cl_qmap_next(p_item); assert(p_del_item != &p_map->nil); } /* Remove the item from the list. */ __cl_primitive_remove(&p_item->pool_item.list_item); /* Decrement the item count. */ p_map->count--; /* Get the pointer to the new root's child, if any. */ if (p_del_item->p_left != &p_map->nil) p_child = p_del_item->p_left; else p_child = p_del_item->p_right; /* * This assignment may modify the parent pointer of the nil node. * This is inconsequential. */ p_child->p_up = p_del_item->p_up; (*__cl_map_get_parent_ptr_to_item(p_del_item)) = p_child; if (p_del_item->color != CL_MAP_RED) __cl_map_del_bal(p_map, p_child); /* * Note that the splicing done below does not need to occur before * the tree is balanced, since the actual topology changes are made by the * preceding code. The topology is preserved by the color assignment made * below (reader should be reminded that p_del_item == p_item in some cases). */ if (p_del_item != p_item) { /* * Finalize the removal of the specified item by exchanging it with * the substitute which we removed above. */ p_del_item->p_up = p_item->p_up; p_del_item->p_left = p_item->p_left; p_del_item->p_right = p_item->p_right; (*__cl_map_get_parent_ptr_to_item(p_item)) = p_del_item; p_item->p_right->p_up = p_del_item; p_item->p_left->p_up = p_del_item; p_del_item->color = p_item->color; } assert(p_map->nil.color != CL_MAP_RED); #ifdef _DEBUG_ /* Clear the pointer to the map since the item has been removed. */ p_item->p_map = NULL; #endif } cl_map_item_t *cl_qmap_remove(cl_qmap_t * const p_map, const uint64_t key) { cl_map_item_t *p_item; assert(p_map); /* Seek the node with the specified key */ p_item = cl_qmap_get(p_map, key); cl_qmap_remove_item(p_map, p_item); return (p_item); } void cl_qmap_merge(cl_qmap_t * const p_dest_map, cl_qmap_t * const p_src_map) { cl_map_item_t *p_item, *p_item2, *p_next; assert(p_dest_map); assert(p_src_map); p_item = cl_qmap_head(p_src_map); while (p_item != cl_qmap_end(p_src_map)) { p_next = cl_qmap_next(p_item); /* Remove the item from its current map. */ cl_qmap_remove_item(p_src_map, p_item); /* Insert the item into the destination map. */ p_item2 = cl_qmap_insert(p_dest_map, cl_qmap_key(p_item), p_item); /* Check that the item was successfully inserted. */ if (p_item2 != p_item) { /* Put the item in back in the source map. */ p_item2 = cl_qmap_insert(p_src_map, cl_qmap_key(p_item), p_item); assert(p_item2 == p_item); } p_item = p_next; } } static void __cl_qmap_delta_move(cl_qmap_t * const p_dest, cl_qmap_t * const p_src, cl_map_item_t ** const pp_item) { cl_map_item_t __attribute__((__unused__)) *p_temp; cl_map_item_t *p_next; /* * Get the next item so that we can ensure that pp_item points to * a valid item upon return from the function. */ p_next = cl_qmap_next(*pp_item); /* Move the old item from its current map the the old map. */ cl_qmap_remove_item(p_src, *pp_item); p_temp = cl_qmap_insert(p_dest, cl_qmap_key(*pp_item), *pp_item); /* We should never have duplicates. */ assert(p_temp == *pp_item); /* Point pp_item to a valid item in the source map. */ (*pp_item) = p_next; } void cl_qmap_delta(cl_qmap_t * const p_map1, cl_qmap_t * const p_map2, cl_qmap_t * const p_new, cl_qmap_t * const p_old) { cl_map_item_t *p_item1, *p_item2; uint64_t key1, key2; assert(p_map1); assert(p_map2); assert(p_new); assert(p_old); assert(cl_is_qmap_empty(p_new)); assert(cl_is_qmap_empty(p_old)); p_item1 = cl_qmap_head(p_map1); p_item2 = cl_qmap_head(p_map2); while (p_item1 != cl_qmap_end(p_map1) && p_item2 != cl_qmap_end(p_map2)) { key1 = cl_qmap_key(p_item1); key2 = cl_qmap_key(p_item2); if (key1 < key2) { /* We found an old item. */ __cl_qmap_delta_move(p_old, p_map1, &p_item1); } else if (key1 > key2) { /* We found a new item. */ __cl_qmap_delta_move(p_new, p_map2, &p_item2); } else { /* Move both forward since they have the same key. */ p_item1 = cl_qmap_next(p_item1); p_item2 = cl_qmap_next(p_item2); } } /* Process the remainder if the end of either source map was reached. */ while (p_item2 != cl_qmap_end(p_map2)) __cl_qmap_delta_move(p_new, p_map2, &p_item2); while (p_item1 != cl_qmap_end(p_map1)) __cl_qmap_delta_move(p_old, p_map1, &p_item1); }