void IntervalTree::FixUpMaxHigh(IntervalTreeNode * x) {
while(x != root) {
x->maxHigh=ITMax(x->high,ITMax(x->left->maxHigh,x->right->maxHigh));
x=x->parent;
}
#ifdef CHECK_INTERVAL_TREE_ASSUMPTIONS
CheckAssumptions();
#endif
}
static void
FixUpMaxHigh(IntervalTree *it, IntervalTreeNode *x)
{
while(x != it->root) {
x->maxHigh=ITMax(x->high,ITMax(x->left->maxHigh,x->right->maxHigh));
x=x->parent;
}
#ifdef CHECK_INTERVAL_TREE_ASSUMPTIONS
IT_CheckAssumptions(it);
#endif
}
static void
LeftRotate(IntervalTree *it, IntervalTreeNode *x)
{
IntervalTreeNode *y;
/* I originally wrote this function to use the sentinel for
* nil to avoid checking for nil. However this introduces a
* very subtle bug because sometimes this function modifies
* the parent pointer of nil. This can be a problem if a
* function which calls LeftRotate also uses the nil sentinel
* and expects the nil sentinel's parent pointer to be unchanged
* after calling this function. For example, when DeleteFixUP
* calls LeftRotate it expects the parent pointer of nil to be
* unchanged.
*/
y=x->right;
x->right=y->left;
if (y->left != it->nil)
y->left->parent=x; /* used to use sentinel here */
/* and do an unconditional assignment instead of testing for nil */
y->parent=x->parent;
/* Instead of checking if x->parent is the root as in the book, we
* count on the root sentinel to implicitly take care of this case
*/
if (x == x->parent->left)
x->parent->left=y;
else
x->parent->right=y;
y->left=x;
x->parent=y;
x->maxHigh=ITMax(x->left->maxHigh,ITMax(x->right->maxHigh,x->high));
y->maxHigh=ITMax(x->maxHigh,ITMax(y->right->maxHigh,y->high));
#ifdef CHECK_INTERVAL_TREE_ASSUMPTIONS
IT_CheckAssumptions(it);
#elif defined(DEBUG_ASSERT)
Assert(!it->nil->red,"nil not red in ITLeftRotate");
Assert((it->nil->maxHigh=LONG_MIN),
"nil->maxHigh != LONG_MIN in ITLeftRotate");
#endif
}
void IntervalTree::RightRotate(IntervalTreeNode* y) {
IntervalTreeNode* x;
/* I originally wrote this function to use the sentinel for */
/* nil to avoid checking for nil. However this introduces a */
/* very subtle bug because sometimes this function modifies */
/* the parent pointer of nil. This can be a problem if a */
/* function which calls LeftRotate also uses the nil sentinel */
/* and expects the nil sentinel's parent pointer to be unchanged */
/* after calling this function. For example, when DeleteFixUP */
/* calls LeftRotate it expects the parent pointer of nil to be */
/* unchanged. */
x=y->left;
y->left=x->right;
if (nil != x->right) x->right->parent=y; /*used to use sentinel here */
/* and do an unconditional assignment instead of testing for nil */
/* instead of checking if x->parent is the root as in the book, we */
/* count on the root sentinel to implicitly take care of this case */
x->parent=y->parent;
if( y == y->parent->left) {
y->parent->left=x;
} else {
y->parent->right=x;
}
x->right=y;
y->parent=x;
y->maxHigh=ITMax(y->left->maxHigh,ITMax(y->right->maxHigh,y->high));
x->maxHigh=ITMax(x->left->maxHigh,ITMax(y->maxHigh,x->high));
#ifdef CHECK_INTERVAL_TREE_ASSUMPTIONS
CheckAssumptions();
#elif defined(DEBUG_ASSERT)
Assert(!nil->red,"nil not red in ITRightRotate");
Assert((nil->maxHigh=MIN_INT),
"nil->maxHigh != MIN_INT in ITRightRotate");
#endif
}