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authorRalf Baechle <ralf@linux-mips.org>1999-02-15 02:15:32 +0000
committerRalf Baechle <ralf@linux-mips.org>1999-02-15 02:15:32 +0000
commit86464aed71025541805e7b1515541aee89879e33 (patch)
treee01a457a4912a8553bc65524aa3125d51f29f810 /mm/mmap_avl.c
parent88f99939ecc6a95a79614574cb7d95ffccfc3466 (diff)
Merge with Linux 2.2.1.
Diffstat (limited to 'mm/mmap_avl.c')
-rw-r--r--mm/mmap_avl.c374
1 files changed, 374 insertions, 0 deletions
diff --git a/mm/mmap_avl.c b/mm/mmap_avl.c
new file mode 100644
index 000000000..5a48ce89b
--- /dev/null
+++ b/mm/mmap_avl.c
@@ -0,0 +1,374 @@
+/*
+ * Searching a VMA in the linear list task->mm->mmap is horribly slow.
+ * Use an AVL (Adelson-Velskii and Landis) tree to speed up this search
+ * from O(n) to O(log n), where n is the number of VMAs of the task
+ * n is typically around 6, but may reach 3000 in some cases: object-oriented
+ * databases, persistent store, generational garbage collection (Java, Lisp),
+ * ElectricFence.
+ * Written by Bruno Haible <haible@ma2s2.mathematik.uni-karlsruhe.de>.
+ */
+
+/* We keep the list and tree sorted by address. */
+#define vm_avl_key vm_end
+#define vm_avl_key_t unsigned long /* typeof(vma->avl_key) */
+
+/*
+ * task->mm->mmap_avl is the AVL tree corresponding to task->mm->mmap
+ * or, more exactly, its root.
+ * A vm_area_struct has the following fields:
+ * vm_avl_left left son of a tree node
+ * vm_avl_right right son of a tree node
+ * vm_avl_height 1+max(heightof(left),heightof(right))
+ * The empty tree is represented as NULL.
+ */
+
+/* Since the trees are balanced, their height will never be large. */
+#define avl_maxheight 41 /* why this? a small exercise */
+#define heightof(tree) ((tree) == vm_avl_empty ? 0 : (tree)->vm_avl_height)
+/*
+ * Consistency and balancing rules:
+ * 1. tree->vm_avl_height == 1+max(heightof(tree->vm_avl_left),heightof(tree->vm_avl_right))
+ * 2. abs( heightof(tree->vm_avl_left) - heightof(tree->vm_avl_right) ) <= 1
+ * 3. foreach node in tree->vm_avl_left: node->vm_avl_key <= tree->vm_avl_key,
+ * foreach node in tree->vm_avl_right: node->vm_avl_key >= tree->vm_avl_key.
+ */
+
+#ifdef DEBUG_AVL
+
+/* Look up the nodes at the left and at the right of a given node. */
+static void avl_neighbours (struct vm_area_struct * node, struct vm_area_struct * tree, struct vm_area_struct ** to_the_left, struct vm_area_struct ** to_the_right)
+{
+ vm_avl_key_t key = node->vm_avl_key;
+
+ *to_the_left = *to_the_right = NULL;
+ for (;;) {
+ if (tree == vm_avl_empty) {
+ printk("avl_neighbours: node not found in the tree\n");
+ return;
+ }
+ if (key == tree->vm_avl_key)
+ break;
+ if (key < tree->vm_avl_key) {
+ *to_the_right = tree;
+ tree = tree->vm_avl_left;
+ } else {
+ *to_the_left = tree;
+ tree = tree->vm_avl_right;
+ }
+ }
+ if (tree != node) {
+ printk("avl_neighbours: node not exactly found in the tree\n");
+ return;
+ }
+ if (tree->vm_avl_left != vm_avl_empty) {
+ struct vm_area_struct * node;
+ for (node = tree->vm_avl_left; node->vm_avl_right != vm_avl_empty; node = node->vm_avl_right)
+ continue;
+ *to_the_left = node;
+ }
+ if (tree->vm_avl_right != vm_avl_empty) {
+ struct vm_area_struct * node;
+ for (node = tree->vm_avl_right; node->vm_avl_left != vm_avl_empty; node = node->vm_avl_left)
+ continue;
+ *to_the_right = node;
+ }
+ if ((*to_the_left && ((*to_the_left)->vm_next != node)) || (node->vm_next != *to_the_right))
+ printk("avl_neighbours: tree inconsistent with list\n");
+}
+
+#endif
+
+/*
+ * Rebalance a tree.
+ * After inserting or deleting a node of a tree we have a sequence of subtrees
+ * nodes[0]..nodes[k-1] such that
+ * nodes[0] is the root and nodes[i+1] = nodes[i]->{vm_avl_left|vm_avl_right}.
+ */
+static void avl_rebalance (struct vm_area_struct *** nodeplaces_ptr, int count)
+{
+ for ( ; count > 0 ; count--) {
+ struct vm_area_struct ** nodeplace = *--nodeplaces_ptr;
+ struct vm_area_struct * node = *nodeplace;
+ struct vm_area_struct * nodeleft = node->vm_avl_left;
+ struct vm_area_struct * noderight = node->vm_avl_right;
+ int heightleft = heightof(nodeleft);
+ int heightright = heightof(noderight);
+ if (heightright + 1 < heightleft) {
+ /* */
+ /* * */
+ /* / \ */
+ /* n+2 n */
+ /* */
+ struct vm_area_struct * nodeleftleft = nodeleft->vm_avl_left;
+ struct vm_area_struct * nodeleftright = nodeleft->vm_avl_right;
+ int heightleftright = heightof(nodeleftright);
+ if (heightof(nodeleftleft) >= heightleftright) {
+ /* */
+ /* * n+2|n+3 */
+ /* / \ / \ */
+ /* n+2 n --> / n+1|n+2 */
+ /* / \ | / \ */
+ /* n+1 n|n+1 n+1 n|n+1 n */
+ /* */
+ node->vm_avl_left = nodeleftright; nodeleft->vm_avl_right = node;
+ nodeleft->vm_avl_height = 1 + (node->vm_avl_height = 1 + heightleftright);
+ *nodeplace = nodeleft;
+ } else {
+ /* */
+ /* * n+2 */
+ /* / \ / \ */
+ /* n+2 n --> n+1 n+1 */
+ /* / \ / \ / \ */
+ /* n n+1 n L R n */
+ /* / \ */
+ /* L R */
+ /* */
+ nodeleft->vm_avl_right = nodeleftright->vm_avl_left;
+ node->vm_avl_left = nodeleftright->vm_avl_right;
+ nodeleftright->vm_avl_left = nodeleft;
+ nodeleftright->vm_avl_right = node;
+ nodeleft->vm_avl_height = node->vm_avl_height = heightleftright;
+ nodeleftright->vm_avl_height = heightleft;
+ *nodeplace = nodeleftright;
+ }
+ }
+ else if (heightleft + 1 < heightright) {
+ /* similar to the above, just interchange 'left' <--> 'right' */
+ struct vm_area_struct * noderightright = noderight->vm_avl_right;
+ struct vm_area_struct * noderightleft = noderight->vm_avl_left;
+ int heightrightleft = heightof(noderightleft);
+ if (heightof(noderightright) >= heightrightleft) {
+ node->vm_avl_right = noderightleft; noderight->vm_avl_left = node;
+ noderight->vm_avl_height = 1 + (node->vm_avl_height = 1 + heightrightleft);
+ *nodeplace = noderight;
+ } else {
+ noderight->vm_avl_left = noderightleft->vm_avl_right;
+ node->vm_avl_right = noderightleft->vm_avl_left;
+ noderightleft->vm_avl_right = noderight;
+ noderightleft->vm_avl_left = node;
+ noderight->vm_avl_height = node->vm_avl_height = heightrightleft;
+ noderightleft->vm_avl_height = heightright;
+ *nodeplace = noderightleft;
+ }
+ }
+ else {
+ int height = (heightleft<heightright ? heightright : heightleft) + 1;
+ if (height == node->vm_avl_height)
+ break;
+ node->vm_avl_height = height;
+ }
+ }
+}
+
+/* Insert a node into a tree. */
+static inline void avl_insert (struct vm_area_struct * new_node, struct vm_area_struct ** ptree)
+{
+ vm_avl_key_t key = new_node->vm_avl_key;
+ struct vm_area_struct ** nodeplace = ptree;
+ struct vm_area_struct ** stack[avl_maxheight];
+ int stack_count = 0;
+ struct vm_area_struct *** stack_ptr = &stack[0]; /* = &stack[stackcount] */
+ for (;;) {
+ struct vm_area_struct * node = *nodeplace;
+ if (node == vm_avl_empty)
+ break;
+ *stack_ptr++ = nodeplace; stack_count++;
+ if (key < node->vm_avl_key)
+ nodeplace = &node->vm_avl_left;
+ else
+ nodeplace = &node->vm_avl_right;
+ }
+ new_node->vm_avl_left = vm_avl_empty;
+ new_node->vm_avl_right = vm_avl_empty;
+ new_node->vm_avl_height = 1;
+ *nodeplace = new_node;
+ avl_rebalance(stack_ptr,stack_count);
+}
+
+/* Insert a node into a tree, and
+ * return the node to the left of it and the node to the right of it.
+ */
+static inline void avl_insert_neighbours (struct vm_area_struct * new_node, struct vm_area_struct ** ptree,
+ struct vm_area_struct ** to_the_left, struct vm_area_struct ** to_the_right)
+{
+ vm_avl_key_t key = new_node->vm_avl_key;
+ struct vm_area_struct ** nodeplace = ptree;
+ struct vm_area_struct ** stack[avl_maxheight];
+ int stack_count = 0;
+ struct vm_area_struct *** stack_ptr = &stack[0]; /* = &stack[stackcount] */
+ *to_the_left = *to_the_right = NULL;
+ for (;;) {
+ struct vm_area_struct * node = *nodeplace;
+ if (node == vm_avl_empty)
+ break;
+ *stack_ptr++ = nodeplace; stack_count++;
+ if (key < node->vm_avl_key) {
+ *to_the_right = node;
+ nodeplace = &node->vm_avl_left;
+ } else {
+ *to_the_left = node;
+ nodeplace = &node->vm_avl_right;
+ }
+ }
+ new_node->vm_avl_left = vm_avl_empty;
+ new_node->vm_avl_right = vm_avl_empty;
+ new_node->vm_avl_height = 1;
+ *nodeplace = new_node;
+ avl_rebalance(stack_ptr,stack_count);
+}
+
+/* Removes a node out of a tree. */
+static void avl_remove (struct vm_area_struct * node_to_delete, struct vm_area_struct ** ptree)
+{
+ vm_avl_key_t key = node_to_delete->vm_avl_key;
+ struct vm_area_struct ** nodeplace = ptree;
+ struct vm_area_struct ** stack[avl_maxheight];
+ int stack_count = 0;
+ struct vm_area_struct *** stack_ptr = &stack[0]; /* = &stack[stackcount] */
+ struct vm_area_struct ** nodeplace_to_delete;
+ for (;;) {
+ struct vm_area_struct * node = *nodeplace;
+#ifdef DEBUG_AVL
+ if (node == vm_avl_empty) {
+ /* what? node_to_delete not found in tree? */
+ printk("avl_remove: node to delete not found in tree\n");
+ return;
+ }
+#endif
+ *stack_ptr++ = nodeplace; stack_count++;
+ if (key == node->vm_avl_key)
+ break;
+ if (key < node->vm_avl_key)
+ nodeplace = &node->vm_avl_left;
+ else
+ nodeplace = &node->vm_avl_right;
+ }
+ nodeplace_to_delete = nodeplace;
+ /* Have to remove node_to_delete = *nodeplace_to_delete. */
+ if (node_to_delete->vm_avl_left == vm_avl_empty) {
+ *nodeplace_to_delete = node_to_delete->vm_avl_right;
+ stack_ptr--; stack_count--;
+ } else {
+ struct vm_area_struct *** stack_ptr_to_delete = stack_ptr;
+ struct vm_area_struct ** nodeplace = &node_to_delete->vm_avl_left;
+ struct vm_area_struct * node;
+ for (;;) {
+ node = *nodeplace;
+ if (node->vm_avl_right == vm_avl_empty)
+ break;
+ *stack_ptr++ = nodeplace; stack_count++;
+ nodeplace = &node->vm_avl_right;
+ }
+ *nodeplace = node->vm_avl_left;
+ /* node replaces node_to_delete */
+ node->vm_avl_left = node_to_delete->vm_avl_left;
+ node->vm_avl_right = node_to_delete->vm_avl_right;
+ node->vm_avl_height = node_to_delete->vm_avl_height;
+ *nodeplace_to_delete = node; /* replace node_to_delete */
+ *stack_ptr_to_delete = &node->vm_avl_left; /* replace &node_to_delete->vm_avl_left */
+ }
+ avl_rebalance(stack_ptr,stack_count);
+}
+
+#ifdef DEBUG_AVL
+
+/* print a list */
+static void printk_list (struct vm_area_struct * vma)
+{
+ printk("[");
+ while (vma) {
+ printk("%08lX-%08lX", vma->vm_start, vma->vm_end);
+ vma = vma->vm_next;
+ if (!vma)
+ break;
+ printk(" ");
+ }
+ printk("]");
+}
+
+/* print a tree */
+static void printk_avl (struct vm_area_struct * tree)
+{
+ if (tree != vm_avl_empty) {
+ printk("(");
+ if (tree->vm_avl_left != vm_avl_empty) {
+ printk_avl(tree->vm_avl_left);
+ printk("<");
+ }
+ printk("%08lX-%08lX", tree->vm_start, tree->vm_end);
+ if (tree->vm_avl_right != vm_avl_empty) {
+ printk(">");
+ printk_avl(tree->vm_avl_right);
+ }
+ printk(")");
+ }
+}
+
+static char *avl_check_point = "somewhere";
+
+/* check a tree's consistency and balancing */
+static void avl_checkheights (struct vm_area_struct * tree)
+{
+ int h, hl, hr;
+
+ if (tree == vm_avl_empty)
+ return;
+ avl_checkheights(tree->vm_avl_left);
+ avl_checkheights(tree->vm_avl_right);
+ h = tree->vm_avl_height;
+ hl = heightof(tree->vm_avl_left);
+ hr = heightof(tree->vm_avl_right);
+ if ((h == hl+1) && (hr <= hl) && (hl <= hr+1))
+ return;
+ if ((h == hr+1) && (hl <= hr) && (hr <= hl+1))
+ return;
+ printk("%s: avl_checkheights: heights inconsistent\n",avl_check_point);
+}
+
+/* check that all values stored in a tree are < key */
+static void avl_checkleft (struct vm_area_struct * tree, vm_avl_key_t key)
+{
+ if (tree == vm_avl_empty)
+ return;
+ avl_checkleft(tree->vm_avl_left,key);
+ avl_checkleft(tree->vm_avl_right,key);
+ if (tree->vm_avl_key < key)
+ return;
+ printk("%s: avl_checkleft: left key %lu >= top key %lu\n",avl_check_point,tree->vm_avl_key,key);
+}
+
+/* check that all values stored in a tree are > key */
+static void avl_checkright (struct vm_area_struct * tree, vm_avl_key_t key)
+{
+ if (tree == vm_avl_empty)
+ return;
+ avl_checkright(tree->vm_avl_left,key);
+ avl_checkright(tree->vm_avl_right,key);
+ if (tree->vm_avl_key > key)
+ return;
+ printk("%s: avl_checkright: right key %lu <= top key %lu\n",avl_check_point,tree->vm_avl_key,key);
+}
+
+/* check that all values are properly increasing */
+static void avl_checkorder (struct vm_area_struct * tree)
+{
+ if (tree == vm_avl_empty)
+ return;
+ avl_checkorder(tree->vm_avl_left);
+ avl_checkorder(tree->vm_avl_right);
+ avl_checkleft(tree->vm_avl_left,tree->vm_avl_key);
+ avl_checkright(tree->vm_avl_right,tree->vm_avl_key);
+}
+
+/* all checks */
+static void avl_check (struct task_struct * task, char *caller)
+{
+ avl_check_point = caller;
+/* printk("task \"%s\", %s\n",task->comm,caller); */
+/* printk("task \"%s\" list: ",task->comm); printk_list(task->mm->mmap); printk("\n"); */
+/* printk("task \"%s\" tree: ",task->comm); printk_avl(task->mm->mmap_avl); printk("\n"); */
+ avl_checkheights(task->mm->mmap_avl);
+ avl_checkorder(task->mm->mmap_avl);
+}
+
+#endif