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/*B-tree from lkml before 23.07.2006, licensed under GPLv2.
* btree.c Copyright (C) 2006 Vishal Patil (vishpat AT gmail DOT com) Copyright
*(C) 2006 Frederik M.J.V. (comparistion and write functions) TREE_EDITABLE
*should work, but isn't tested.
*/
/*LE write function from rockbox, scramble.c Copyright (C) 2002 by Bjørn
Stenberg GPL*/
#include "btree.h"
typedef enum {left = -1,right = 1} position_t;
typedef struct {
bt_node * node;
unsigned int index;
} node_pos;
static void print_single_node(btree *btree, bt_node * node);
static bt_node * allocate_btree_node (unsigned int order);
static int free_btree_node (bt_node * node);
static node_pos get_btree_node(btree * btree,void * key);
/**
* Used to create a btree with just the root node
* @param order The order of the B-tree
* @return The an empty B-tree
*/
btree * btree_create(unsigned int order)
{
btree * btree;
btree = mem_alloc(sizeof(*btree));
btree->order = order;
btree->root = allocate_btree_node(order);
btree->root->leaf = true;
btree->root->nr_active = 0;
btree->root->next = NULL;
btree->root->level = 0;
return btree;
}
/**
* Function used to allocate memory for the btree node
* @param order Order of the B-Tree
* @param leaf boolean set true for a leaf node
* @return The allocated B-tree node
*/
static bt_node * allocate_btree_node (unsigned int order)
{
bt_node * node;
/*Allocate memory for the node */
node = (bt_node *)mem_alloc(sizeof(bt_node));
/* Initialize the number of active nodes */
node->nr_active = 0;
/* Initialize the keys */
node->key_vals = (bt_key_val **)mem_alloc(2*order*sizeof(bt_key_val*) - 1);
/* Initialize the child pointers */
node->children = (bt_node **)mem_alloc(2*order*sizeof(bt_node*));
/* Use to determine whether it is a leaf */
node->leaf = true;
/* Use to determine the level in the tree */
node->level = 0;
/* Initialize the linked list pointer to NULL */
node->next = NULL;
return node;
}
/**
* Function used to free the memory allocated to the b-tree
* @param node The node to be freed
* @param order Order of the B-Tree
* @return The allocated B-tree node
*/
static int free_btree_node (bt_node * node)
{
mem_free(node->children);
mem_free(node->key_vals);
mem_free(node);
return 0;
}
/**
* Used to split the child node and adjust the parent so that it has two
*children
* @param parent Parent Node
* @param index Index of the child node
* @param child Full child node
*
*/
static void btree_split_child(btree * btree, bt_node * parent,
unsigned int index,
bt_node * child)
{
unsigned int i = 0;
unsigned int order = btree->order;
bt_node * new_child = allocate_btree_node(btree->order);
new_child->leaf = child->leaf;
new_child->level = child->level;
new_child->nr_active = btree->order - 1;
/* Copy the higher order keys to the new child */
for(i=0; i<order - 1; i++)
{
new_child->key_vals[i] = child->key_vals[i + order];
if(!child->leaf)
new_child->children[i] =
child->children[i + order];
}
/* Copy the last child pointer */
if(!child->leaf)
new_child->children[i] =
child->children[i + order];
child->nr_active = order - 1;
for(i = parent->nr_active + 1; i > index + 1; i--)
{
parent->children[i] = parent->children[i - 1];
}
parent->children[index + 1] = new_child;
for(i = parent->nr_active; i > index; i--)
{
parent->key_vals[i] = parent->key_vals[i - 1];
}
parent->key_vals[index] = child->key_vals[order - 1];
parent->nr_active++;
}
/**
* Used to insert a key in the non-full node
* @param btree The btree
* @param node The node to which the key will be added
* @param the key value pair
* @return void
*/
static void btree_insert_nonfull (btree * btree, bt_node * parent_node,
bt_key_val * key_val)
{
int i;
bt_node * child;
bt_node * node = parent_node;
insert: i = node->nr_active - 1;
if(node->leaf)
{
while(i >= 0 && btree->compare(key_val->key,node->key_vals[i]->key)<0)
{
node->key_vals[i + 1] = node->key_vals[i];
i--;
}
node->key_vals[i + 1] = key_val;
node->nr_active++;
}
else
{
while (i >= 0 && btree->compare(key_val->key,node->key_vals[i]->key)<0)
{
i--;
}
i++;
child = node->children[i];
if(child->nr_active == 2*btree->order - 1)
{
btree_split_child(btree,node,i,child);
if(btree->compare(key_val->key,node->key_vals[i]->key)>0)
i++;
}
node = node->children[i];
goto insert;
}
}
/**
* Function used to insert node into a B-Tree
* @param root Root of the B-Tree
* @param node The node to be inserted
* @param compare Function used to compare the two nodes of the tree
* @return success or failure
*/
int btree_insert_key(btree * btree, bt_key_val * key_val)
{
bt_node * rnode;
rnode = btree->root;
if(rnode->nr_active == (2*btree->order - 1))
{
bt_node * new_root;
new_root = allocate_btree_node(btree->order);
new_root->level = btree->root->level + 1;
btree->root = new_root;
new_root->leaf = false;
new_root->nr_active = 0;
new_root->children[0] = rnode;
btree_split_child(btree,new_root,0,rnode);
btree_insert_nonfull(btree,new_root,key_val);
}
else
btree_insert_nonfull(btree,rnode,key_val);
return 0;
}
/**
* Function used to get the node containing the given key
* @param btree The btree to be searched
* @param key The the key to be searched
* @return The node and position of the key within the node
*/
node_pos get_btree_node(btree * btree,void * key)
{
node_pos kp;
kp.node=NULL;
kp.index=0;
bt_node * node;
unsigned int i = 0;
node = btree->root;
for (;; i = 0)
{
/* Fix the index of the key greater than or equal to the key that we
would like to search */
while (i < node->nr_active && btree->compare(key, node->key_vals[i]->key)>0 )
i++;
/* If we find such key return the key-value pair */
if(i < node->nr_active && btree->compare(key,node->key_vals[i]->key)==0)
{
kp.node = node;
kp.index = i;
return kp;
}
/* If the node is leaf and if we did not find the key
return NULL */
if(node->leaf)
return kp;
/* To got a child node */
node = node->children[i];
}
return kp;
}
/**
* Used to destory btree
* @param btree The B-tree
* @return none
*/
void btree_destroy(btree * btree)
{
unsigned int i;
unsigned int current_level;
bt_node * head, * tail, * node;
bt_node * child, * del_node;
node = btree->root;
current_level = node->level;
head = node;
tail = node;
while(true)
{
if(head == NULL)
break;
if (head->level < current_level)
current_level = head->level;
if(head->leaf == false)
for(i = 0; i < head->nr_active + 1; i++)
{
child = head->children[i];
tail->next = child;
tail = child;
child->next = NULL;
}
del_node = head;
head = head->next;
free_btree_node(del_node);
}
}
/**
* Function used to search a node in a B-Tree
* @param btree The B-tree to be searched
* @param key Key of the node to be search
* @return The key-value pair
*/
bt_key_val * btree_search(btree * btree,void * key)
{
bt_key_val * key_val = NULL;
node_pos kp = get_btree_node(btree,key);
if(kp.node)
key_val = kp.node->key_vals[kp.index];
return key_val;
}
#ifdef DEBUG
#include <stdint.h>
/**
* Used to print the keys of the bt_node
* @param node The node whose keys are to be printed
* @return none
*/
static void print_single_node(btree *btree, bt_node * node)
{
unsigned int i = 0;
print(" { ");
while(i < node->nr_active)
{
print("(%d)%s(%d) ",btree->key_size(node->key_vals[i]->key),
(char*)(node->key_vals[i]->key+sizeof(int16_t)),node->level);
i++;
}
print("} (0x%x,%d) ", (unsigned int)node,node->leaf);
}
/**
* Function used to print the B-tree
* @param root Root of the B-Tree
* @param print_key Function used to print the key value
* @return none
*/
void print_subtree(btree *btree,bt_node * node)
{
unsigned int i;
unsigned int current_level;
bt_node * head, * tail;
bt_node * child;
current_level = node->level;
head = node;
tail = node;
while(true)
{
if(head == NULL)
break;
if (head->level < current_level)
{
current_level = head->level;
print("\n");
}
print_single_node(btree,head);
if(head->leaf == false)
for(i = 0; i < head->nr_active + 1; i++)
{
child = head->children[i];
tail->next = child;
tail = child;
child->next = NULL;
}
head = head->next;
}
print("\n");
}
uint32_t btree_write(FILE *file,btree *btree,bt_node *node)
{
long ndestrtfo,tmpfo;
unsigned short i;
ndestrtfo=ftell(file);
if(node==0)
{
printf("NDNL\n");
return 0;
}
uint32_t chldptrs[node->nr_active+1];
fseek(file,ndestrtfo+btree->node_write_len(btree,node),SEEK_SET);
if(node->leaf==false)
for(i=0; i < node->nr_active+1; i++)
{
chldptrs[i]=btree_write(file,btree,node->children[i]);
}
tmpfo=ftell(file);
fseek(file,ndestrtfo,SEEK_SET);
btree->node_write(file,btree,node,chldptrs);
fseek(file,tmpfo,SEEK_SET);
return (uint32_t)ndestrtfo;
}
#endif
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