rbtree: low level optimizations in __rb_erase_color()

In __rb_erase_color(), we often already have pointers to the nodes being
rotated and/or know what their colors must be, so we can generate more
efficient code than the generic __rb_rotate_left() and __rb_rotate_right()
functions.

Also when the current node is red or when flipping the sibling's color,
the parent is already known so we can use the more efficient
rb_set_parent_color() function to set the desired color.

Signed-off-by: Michel Lespinasse <walken@google.com>
Cc: Andrea Arcangeli <aarcange@redhat.com>
Acked-by: David Woodhouse <David.Woodhouse@intel.com>
Cc: Rik van Riel <riel@redhat.com>
Cc: Peter Zijlstra <a.p.zijlstra@chello.nl>
Cc: Daniel Santos <daniel.santos@pobox.com>
Cc: Jens Axboe <axboe@kernel.dk>
Cc: "Eric W. Biederman" <ebiederm@xmission.com>
Signed-off-by: Andrew Morton <akpm@linux-foundation.org>

diff --git a/lib/rbtree.c b/lib/rbtree.c
index eb823a31099c37678768551ed685d2dc0f0a6aca..a38e473d8fe7aea4c6c65898b8ff9a85b36da23f 100644 (file)
--- a/lib/rbtree.c
+++ b/lib/rbtree.c
@@ -39,7 +39,8 @@
  *  5), then the longest possible path due to 4 is 2B.
  *
  *  We shall indicate color with case, where black nodes are uppercase and red
- *  nodes will be lowercase.
+ *  nodes will be lowercase. Unknown color nodes shall be drawn as red within
+ *  parentheses and have some accompanying text comment.
  */
 
 #define        RB_RED          0
@@ -48,17 +49,11 @@
 #define rb_color(r)   ((r)->__rb_parent_color & 1)
 #define rb_is_red(r)   (!rb_color(r))
 #define rb_is_black(r) rb_color(r)
-#define rb_set_red(r)  do { (r)->__rb_parent_color &= ~1; } while (0)
-#define rb_set_black(r)  do { (r)->__rb_parent_color |= 1; } while (0)
 
 static inline void rb_set_parent(struct rb_node *rb, struct rb_node *p)
 {
        rb->__rb_parent_color = rb_color(rb) | (unsigned long)p;
 }
-static inline void rb_set_color(struct rb_node *rb, int color)
-{
-       rb->__rb_parent_color = (rb->__rb_parent_color & ~1) | color;
-}
 
 static inline void rb_set_parent_color(struct rb_node *rb,
                                       struct rb_node *p, int color)
@@ -71,52 +66,6 @@ static inline struct rb_node *rb_red_parent(struct rb_node *red)
        return (struct rb_node *)red->__rb_parent_color;
 }
 
-static void __rb_rotate_left(struct rb_node *node, struct rb_root *root)
-{
-       struct rb_node *right = node->rb_right;
-       struct rb_node *parent = rb_parent(node);
-
-       if ((node->rb_right = right->rb_left))
-               rb_set_parent(right->rb_left, node);
-       right->rb_left = node;
-
-       rb_set_parent(right, parent);
-
-       if (parent)
-       {
-               if (node == parent->rb_left)
-                       parent->rb_left = right;
-               else
-                       parent->rb_right = right;
-       }
-       else
-               root->rb_node = right;
-       rb_set_parent(node, right);
-}
-
-static void __rb_rotate_right(struct rb_node *node, struct rb_root *root)
-{
-       struct rb_node *left = node->rb_left;
-       struct rb_node *parent = rb_parent(node);
-
-       if ((node->rb_left = left->rb_right))
-               rb_set_parent(left->rb_right, node);
-       left->rb_right = node;
-
-       rb_set_parent(left, parent);
-
-       if (parent)
-       {
-               if (node == parent->rb_right)
-                       parent->rb_right = left;
-               else
-                       parent->rb_left = left;
-       }
-       else
-               root->rb_node = left;
-       rb_set_parent(node, left);
-}
-
 /*
  * Helper function for rotations:
  * - old's parent and color get assigned to new
@@ -257,7 +206,7 @@ EXPORT_SYMBOL(rb_insert_color);
 static void __rb_erase_color(struct rb_node *node, struct rb_node *parent,
                             struct rb_root *root)
 {
-       struct rb_node *other;
+       struct rb_node *sibling, *tmp1, *tmp2;
 
        while (true) {
                /*
@@ -270,63 +219,136 @@ static void __rb_erase_color(struct rb_node *node, struct rb_node *parent,
                 * and tree rotations as per one of the 4 cases below.
                 */
                if (node && rb_is_red(node)) {
-                       rb_set_black(node);
+                       rb_set_parent_color(node, parent, RB_BLACK);
                        break;
                } else if (!parent) {
                        break;
                } else if (parent->rb_left == node) {
-                       other = parent->rb_right;
-                       if (rb_is_red(other))
-                       {
-                               rb_set_black(other);
-                               rb_set_red(parent);
-                               __rb_rotate_left(parent, root);
-                               other = parent->rb_right;
+                       sibling = parent->rb_right;
+                       if (rb_is_red(sibling)) {
+                               /*
+                                * Case 1 - left rotate at parent
+                                *
+                                *     P               S
+                                *    / \             / \
+                                *   N   s    -->    p   Sr
+                                *      / \         / \
+                                *     Sl  Sr      N   Sl
+                                */
+                               parent->rb_right = tmp1 = sibling->rb_left;
+                               sibling->rb_left = parent;
+                               rb_set_parent_color(tmp1, parent, RB_BLACK);
+                               __rb_rotate_set_parents(parent, sibling, root,
+                                                       RB_RED);
+                               sibling = tmp1;
                        }
-                       if (!other->rb_right || rb_is_black(other->rb_right)) {
-                               if (!other->rb_left ||
-                                   rb_is_black(other->rb_left)) {
-                                       rb_set_red(other);
+                       tmp1 = sibling->rb_right;
+                       if (!tmp1 || rb_is_black(tmp1)) {
+                               tmp2 = sibling->rb_left;
+                               if (!tmp2 || rb_is_black(tmp2)) {
+                                       /*
+                                        * Case 2 - sibling color flip
+                                        * (p could be either color here)
+                                        *
+                                        *    (p)           (p)
+                                        *    / \           / \
+                                        *   N   S    -->  N   s
+                                        *      / \           / \
+                                        *     Sl  Sr        Sl  Sr
+                                        *
+                                        * This leaves us violating 5), so
+                                        * recurse at p. If p is red, the
+                                        * recursion will just flip it to black
+                                        * and exit. If coming from Case 1,
+                                        * p is known to be red.
+                                        */
+                                       rb_set_parent_color(sibling, parent,
+                                                           RB_RED);
                                        node = parent;
                                        parent = rb_parent(node);
                                        continue;
                                }
-                               rb_set_black(other->rb_left);
-                               rb_set_red(other);
-                               __rb_rotate_right(other, root);
-                               other = parent->rb_right;
+                               /*
+                                * Case 3 - right rotate at sibling
+                                * (p could be either color here)
+                                *
+                                *   (p)           (p)
+                                *   / \           / \
+                                *  N   S    -->  N   Sl
+                                *     / \             \
+                                *    sl  Sr            s
+                                *                       \
+                                *                        Sr
+                                */
+                               sibling->rb_left = tmp1 = tmp2->rb_right;
+                               tmp2->rb_right = sibling;
+                               parent->rb_right = tmp2;
+                               if (tmp1)
+                                       rb_set_parent_color(tmp1, sibling,
+                                                           RB_BLACK);
+                               tmp1 = sibling;
+                               sibling = tmp2;
                        }
-                       rb_set_color(other, rb_color(parent));
-                       rb_set_black(parent);
-                       rb_set_black(other->rb_right);
-                       __rb_rotate_left(parent, root);
+                       /*
+                        * Case 4 - left rotate at parent + color flips
+                        * (p and sl could be either color here.
+                        *  After rotation, p becomes black, s acquires
+                        *  p's color, and sl keeps its color)
+                        *
+                        *      (p)             (s)
+                        *      / \             / \
+                        *     N   S     -->   P   Sr
+                        *        / \         / \
+                        *      (sl) sr      N  (sl)
+                        */
+                       parent->rb_right = tmp2 = sibling->rb_left;
+                       sibling->rb_left = parent;
+                       rb_set_parent_color(tmp1, sibling, RB_BLACK);
+                       if (tmp2)
+                               rb_set_parent(tmp2, parent);
+                       __rb_rotate_set_parents(parent, sibling, root,
+                                               RB_BLACK);
                        break;
                } else {
-                       other = parent->rb_left;
-                       if (rb_is_red(other))
-                       {
-                               rb_set_black(other);
-                               rb_set_red(parent);
-                               __rb_rotate_right(parent, root);
-                               other = parent->rb_left;
+                       sibling = parent->rb_left;
+                       if (rb_is_red(sibling)) {
+                               /* Case 1 - right rotate at parent */
+                               parent->rb_left = tmp1 = sibling->rb_right;
+                               sibling->rb_right = parent;
+                               rb_set_parent_color(tmp1, parent, RB_BLACK);
+                               __rb_rotate_set_parents(parent, sibling, root,
+                                                       RB_RED);
+                               sibling = tmp1;
                        }
-                       if (!other->rb_left || rb_is_black(other->rb_left)) {
-                               if (!other->rb_right ||
-                                   rb_is_black(other->rb_right)) {
-                                       rb_set_red(other);
+                       tmp1 = sibling->rb_left;
+                       if (!tmp1 || rb_is_black(tmp1)) {
+                               tmp2 = sibling->rb_right;
+                               if (!tmp2 || rb_is_black(tmp2)) {
+                                       /* Case 2 - sibling color flip */
+                                       rb_set_parent_color(sibling, parent,
+                                                           RB_RED);
                                        node = parent;
                                        parent = rb_parent(node);
                                        continue;
                                }
-                               rb_set_black(other->rb_right);
-                               rb_set_red(other);
-                               __rb_rotate_left(other, root);
-                               other = parent->rb_left;
+                               /* Case 3 - right rotate at sibling */
+                               sibling->rb_right = tmp1 = tmp2->rb_left;
+                               tmp2->rb_left = sibling;
+                               parent->rb_left = tmp2;
+                               if (tmp1)
+                                       rb_set_parent_color(tmp1, sibling,
+                                                           RB_BLACK);
+                               tmp1 = sibling;
+                               sibling = tmp2;
                        }
-                       rb_set_color(other, rb_color(parent));
-                       rb_set_black(parent);
-                       rb_set_black(other->rb_left);
-                       __rb_rotate_right(parent, root);
+                       /* Case 4 - left rotate at parent + color flips */
+                       parent->rb_left = tmp2 = sibling->rb_right;
+                       sibling->rb_right = parent;
+                       rb_set_parent_color(tmp1, sibling, RB_BLACK);
+                       if (tmp2)
+                               rb_set_parent(tmp2, parent);
+                       __rb_rotate_set_parents(parent, sibling, root,
+                                               RB_BLACK);
                        break;
                }
        }