AvlIndex AvlNode::balance(AvlIndex tree)
{
int balance, lh, rh;
balance = get_balance(tree);
if (balance < -1)
{
balance = get_balance(AVLNODE(tree)->left);
if (balance > 0)
tree = left_right(tree);
else
tree = left_left(tree);
}
else if (balance > 1)
{
balance = get_balance(AVLNODE(tree)->right);
if (balance < 0)
tree = right_left(tree);
else
tree = right_right(tree);
}
lh = node_height(AVLNODE(tree)->left);
rh = node_height(AVLNODE(tree)->right);
AVLNODE(tree)->height = (lh > rh ? lh : rh) + 1;
return tree;
}
static inline
void node_fix_height(avl_tree_node_t *n) {
unsigned char hl = node_height(n->left);
unsigned char hr = node_height(n->right);
n->height = (hl > hr ? hl : hr) + 1;
}
static size_t
node_height(const sp_node* node)
{
size_t l = node->llink ? node_height(node->llink) + 1 : 0;
size_t r = node->rlink ? node_height(node->rlink) + 1 : 0;
return MAX(l, r);
}
void total_rotate(element_type x,SEARCH_TREE T,SEARCH_TREE root)
{
tree_ptr father=find_father(T,root),rotated_tree;
if((height(T->left)-height(T->right))==2){
if(x<T->left->element)
rotated_tree=s_rotated_left(T);
else
rotated_tree=d_rotated_left(T);
if(parent->left==T)
parent->left=rotated_tree;
else
parent->right=rotated_tree;
}else{
T->height=node_height(T);
}
if((height(T->right)-height(T->left))==2){
if(x>T->right->element)
rotated_tree=s_rotated_right(T);
else
rotated_tree=d_rotated_right(T);
if(parent->right==T)
parent->right=rotated_tree;
else
parent->left=rotated_tree;
}else{
T->height=node_height(T);
}
}
static gpr_avl_node *assert_invariants(gpr_avl_node *n) {
if (n == NULL) return NULL;
assert_invariants(n->left);
assert_invariants(n->right);
assert(calculate_height(n) == n->height);
assert(labs(node_height(n->left) - node_height(n->right)) <= 1);
return n;
}
avl_ptr s_rotate_right(avl_ptr k1)
{
avl_ptr k2=k1->right;
k1->right=k2->left;
k2->left=k1;
k1->height=node_height(k1);
k2->height=node_height(k2);
return k2;
}
static size_t
node_height(const tr_node* node)
{
ASSERT(node != NULL);
size_t l = node->llink ? node_height(node->llink) + 1 : 0;
size_t r = node->rlink ? node_height(node->rlink) + 1 : 0;
return MAX(l, r);
}
static void update_height(struct bitree_node *node)
{
if (node == NULL)
return;
node->height =
max(node_height(node->left), node_height(node->right)) + 1;
update_height(node->parent);
return;
}
AvlIndex AvlNode::right_right(AvlIndex p3)
{
//printf("applying right right\n");
AvlIndex p5 = AVLNODE(p3)->right;
AVLNODE(p3)->right = AVLNODE(p5)->left;
AVLNODE(p5)->left = p3;
AVLNODE(p3)->height = max(node_height(AVLNODE(p3)->left), node_height(AVLNODE(p3)->right)) + 1;
AVLNODE(p5)->height = max(AVLNODE(p3)->height, node_height(AVLNODE(p5)->right)) + 1;
return p5;
}
// rebalancing operations from wikipedia diagram
// see http://en.wikipedia.org/wiki/AVL_tree
AvlIndex AvlNode::left_left(AvlIndex p5)
{
//printf("applying left left\n");
AvlIndex p3 = AVLNODE(p5)->left;
AVLNODE(p5)->left = AVLNODE(p3)->right;
AVLNODE(p3)->right = p5;
AVLNODE(p5)->height = max(node_height(AVLNODE(p5)->left), node_height(AVLNODE(p5)->right)) + 1;
AVLNODE(p3)->height = max(node_height(AVLNODE(p3)->left), AVLNODE(p5)->height) + 1;
return p3;
}
gpr_avl_node *new_node(void *key, void *value, gpr_avl_node *left,
gpr_avl_node *right) {
gpr_avl_node *node = gpr_malloc(sizeof(*node));
gpr_ref_init(&node->refs, 1);
node->key = key;
node->value = value;
node->left = assert_invariants(left);
node->right = assert_invariants(right);
node->height = 1 + GPR_MAX(node_height(left), node_height(right));
return node;
}
/* same for left */
NODE* LeftRot(NODE* root, NODE* pivot)
{
root->right = pivot->left;
pivot->left = root;
/* update heights */
root->height = max(node_height(root->left), node_height(root->right))+1;
pivot->height = max(node_height(pivot->left), node_height(pivot->right))+1;
return pivot;
}
static unsigned
node_height(const hb_node *node)
{
unsigned l, r;
ASSERT(node != NULL);
l = node->llink ? node_height(node->llink) + 1 : 0;
r = node->rlink ? node_height(node->rlink) + 1 : 0;
return MAX(l, r);
}
/*
* Full height: longest path from node x to a leag
*/
static uint32_t node_height(rba_buffer_t *b, uint32_t x) {
uint32_t i, j, hi, hj;
if (x == 0) return 0;
i = b->child[x][0];
j = b->child[x][1];
hi = node_height(b, i);
hj = node_height(b, j);
if (hi > hj) {
return hi + 1;
} else {
return hj + 1;
}
}
static ret_t
node_check (chula_avl_generic_node_t *node)
{
int32_t left_height;
int32_t right_height;
int32_t balance;
chula_avl_generic_node_t *tmp;
if (node == NULL)
return ret_ok;
if (node->left_child) {
tmp = node_prev (node);
if (tmp->right != node) {
chula_log_error ("AVL Tree inconsistency: Right child");
return ret_error;
}
}
if (node->right_child) {
tmp = node_next (node);
if (tmp->left != node) {
chula_log_error ("AVL Tree inconsistency: Left child");
return ret_error;
}
}
left_height = 0;
right_height = 0;
if (node->left_child)
left_height = node_height (node->left);
if (node->right_child)
right_height = node_height (node->right);
balance = right_height - left_height;
if (balance != node->balance) {
chula_log_error ("AVL Tree inconsistency: Balance");
return ret_error;
}
if (node->left_child)
node_check (node->left);
if (node->right_child)
node_check (node->right);
return ret_ok;
}
static ret_t
node_check (http2d_avl_generic_node_t *node)
{
cint_t left_height;
cint_t right_height;
cint_t balance;
http2d_avl_generic_node_t *tmp;
if (node == NULL)
return ret_ok;
if (node->left_child) {
tmp = node_prev (node);
if (tmp->right != node) {
LOG_ERROR_S (HTTP2D_ERROR_AVL_PREVIOUS);
return ret_error;
}
}
if (node->right_child) {
tmp = node_next (node);
if (tmp->left != node) {
LOG_ERROR_S (HTTP2D_ERROR_AVL_NEXT);
return ret_error;
}
}
left_height = 0;
right_height = 0;
if (node->left_child)
left_height = node_height (node->left);
if (node->right_child)
right_height = node_height (node->right);
balance = right_height - left_height;
if (balance != node->balance) {
LOG_ERROR_S (HTTP2D_ERROR_AVL_BALANCE);
return ret_error;
}
if (node->left_child)
node_check (node->left);
if (node->right_child)
node_check (node->right);
return ret_ok;
}
size_t
tr_tree_height(const tr_tree* tree)
{
ASSERT(tree != NULL);
return tree->root ? node_height(tree->root) : 0;
}
unsigned
hb_tree_height(const hb_tree *tree)
{
ASSERT(tree != NULL);
return tree->root ? node_height(tree->root) : 0;
}
SEARCH_TREE insert1(element_type x,SEARCH_TREE T,avl_ptr parent)
{
avl_ptr rotated_tree;
if(T==NULL){
T=(SEARCH_TREE) malloc(sizeof(struct avl_node));
if(T==NULL)
fatal_error("Out of space\n");
else{
T->element=x;
T->height=0;
T->left=T->right=NULL;
}
}else{
if(x<T->element){
T->left=insert1(x,T->left,T);
if((height(T->left)-height(T->right))==2){
if(x<T->left->element)
rotated_tree=s_rotated_left(T);
else
rotated_tree=d_rotated_left(T);
if(parent->left==T)
parent->left=rotated_tree;
else
parent->right=rotated_tree;
}else{
T->height=node_height(T);
}
}else if(x>T->element){
T->right=insert1(x,T->right,T);
if((height(T->right)-height(T->left))==2){
if(x>T->right->element)
rotated_tree=s_rotated_right(T);
else
rotated_tree=d_rotated_right(T);
if(parent->right==T)
parent->right=rotated_tree;
else
parent->left=rotated_tree;
}else{
T->height=node_height(T);
}
}
}
return T;
}
static cint_t
node_height (http2d_avl_generic_node_t *node)
{
cint_t left_height;
cint_t right_height;
if (node) {
left_height = 0;
right_height = 0;
if (node->left_child)
left_height = node_height (node->left);
if (node->right_child)
right_height = node_height (node->right);
return MAX (left_height, right_height) + 1;
}
return 0;
}
static int32_t
node_height (chula_avl_generic_node_t *node)
{
int32_t left_height;
int32_t right_height;
if (node) {
left_height = 0;
right_height = 0;
if (node->left_child)
left_height = node_height (node->left);
if (node->right_child)
right_height = node_height (node->right);
return MAX (left_height, right_height) + 1;
}
return 0;
}
NODE* node_insert(NODE* node, SYMBOL *symbol)
{
NODE *root;
int balance;
int cmp, cmpchild;
root = node;
if (node == NULL)
return node_new(symbol);
cmp = strcmp(symbol->id, node->symbol->id);
if (cmp < 0)
{
/* Left */
node->left = node_insert(node->left, symbol);
balance = node_height(node->left) - node_height(node->right);
if (balance == 2)
{
cmpchild = strcmp(symbol->id, node->left->symbol->id);
if (cmpchild < 0)
root = LL(node);
else if (cmpchild > 0)
root = LR(node);
}
} else if (cmp > 0)
{
/* Right */
node->right = node_insert(node->right, symbol);
balance = node_height(node->right) - node_height(node->left);
if (balance == 2)
{
cmpchild = strcmp(symbol->id, node->right->symbol->id);
if (cmpchild < 0)
root = RL(node);
else if (cmpchild > 0)
root = RR(node);
}
}/* else
{
the implementation doesn't allow duplicates, since a lookup is ALWAYS performed first
} */
node->height = max(node_height(node->left), node_height(node->right))+1;
return root;
}
static gpr_avl_node *rebalance(const gpr_avl_vtable *vtable, void *key,
void *value, gpr_avl_node *left,
gpr_avl_node *right) {
switch (node_height(left) - node_height(right)) {
case 2:
if (node_height(left->left) - node_height(left->right) == -1) {
return assert_invariants(
rotate_left_right(vtable, key, value, left, right));
} else {
return assert_invariants(rotate_right(vtable, key, value, left, right));
}
case -2:
if (node_height(right->left) - node_height(right->right) == 1) {
return assert_invariants(
rotate_right_left(vtable, key, value, left, right));
} else {
return assert_invariants(rotate_left(vtable, key, value, left, right));
}
default:
return assert_invariants(new_node(key, value, left, right));
}
}
static int node_bf(struct bitree_node *node)
{
return node_height(node->left) - node_height(node->right);
}
static inline
int node_balance_factor(const avl_tree_node_t *n) {
return node_height(n->left) - node_height(n->right);
}
static uint32_t tree_height(rba_buffer_t *b) {
return node_height(b, b->root);
}