[PATCH v8 3/3] Refactor rangeset structure for better performance.

[Yu Zhang <yu.c.zhang@linux.intel.com>]

This patch refactors struct rangeset to base it on the red-black
tree structure, instead of on the current doubly linked list. By
now, ioreq leverages rangeset to keep track of the IO/memory
resources to be emulated. Yet when number of ranges inside one
ioreq server is very high, traversing a doubly linked list could
be time consuming. With this patch, the time complexity for
searching a rangeset can be improved from O(n) to O(log(n)).
Interfaces of rangeset still remain the same, and no new APIs
introduced.

Signed-off-by: Yu Zhang <yu.c.zhang@linux.intel.com>
Reviewed-by: Paul Durrant <paul.durrant@citrix.com>
---
 xen/common/rangeset.c | 82 +++++++++++++++++++++++++++++++++++++--------------
 1 file changed, 60 insertions(+), 22 deletions(-)

diff --git a/xen/common/rangeset.c b/xen/common/rangeset.c
index 6c6293c..cde0d06 100644
--- a/xen/common/rangeset.c
+++ b/xen/common/rangeset.c
@@ -10,11 +10,12 @@
 #include <xen/sched.h>
 #include <xen/errno.h>
 #include <xen/rangeset.h>
+#include <xen/rbtree.h>
 #include <xsm/xsm.h>
 
 /* An inclusive range [s,e] and pointer to next range in ascending order. */
 struct range {
-    struct list_head list;
+    struct rb_node node;
     unsigned long s, e;
 };
 
@@ -24,7 +25,7 @@ struct rangeset {
     struct domain   *domain;
 
     /* Ordered list of ranges contained in this set, and protecting lock. */
-    struct list_head range_list;
+    struct rb_root   range_tree;
 
     /* Number of ranges that can be allocated */
     long             nr_ranges;
@@ -45,41 +46,78 @@ struct rangeset {
 static struct range *find_range(
     struct rangeset *r, unsigned long s)
 {
-    struct range *x = NULL, *y;
+    struct rb_node *node;
+    struct range   *x;
+    struct range   *prev = NULL;
 
-    list_for_each_entry ( y, &r->range_list, list )
+    node = r->range_tree.rb_node;
+    while ( node )
     {
-        if ( y->s > s )
-            break;
-        x = y;
+        x = container_of(node, struct range, node);
+        if ( (s >= x->s) && (s <= x->e) )
+            return x;
+        if ( s < x->s )
+            node = node->rb_left;
+        else
+        {
+            prev = x;
+            node = node->rb_right;
+        }
     }
 
-    return x;
+    return prev;
 }
 
 /* Return the lowest range in the set r, or NULL if r is empty. */
 static struct range *first_range(
     struct rangeset *r)
 {
-    if ( list_empty(&r->range_list) )
-        return NULL;
-    return list_entry(r->range_list.next, struct range, list);
+    struct rb_node *node;
+
+    node = rb_first(&r->range_tree);
+    if ( node != NULL )
+        return container_of(node, struct range, node);
+
+    return NULL;
 }
 
 /* Return range following x in ascending order, or NULL if x is the highest. */
 static struct range *next_range(
     struct rangeset *r, struct range *x)
 {
-    if ( x->list.next == &r->range_list )
-        return NULL;
-    return list_entry(x->list.next, struct range, list);
+    struct rb_node *node;
+
+    node = rb_next(&x->node);
+    if ( node )
+        return container_of(node, struct range, node);
+
+    return NULL;
 }
 
 /* Insert range y after range x in r. Insert as first range if x is NULL. */
 static void insert_range(
     struct rangeset *r, struct range *x, struct range *y)
 {
-    list_add(&y->list, (x != NULL) ? &x->list : &r->range_list);
+    struct rb_node **node;
+    struct rb_node *parent = NULL;
+
+    if ( x == NULL )
+        node = &r->range_tree.rb_node;
+    else
+    {
+        node = &x->node.rb_right;
+        parent = &x->node;
+    }
+
+    while ( *node )
+    {
+        parent = *node;
+        node = &parent->rb_left;
+    }
+
+    /* Add new node and rebalance the red-black tree. */
+    rb_link_node(&y->node, parent, node);
+    rb_insert_color(&y->node, &r->range_tree);
 }
 
 /* Remove a range from its list and free it. */
@@ -88,7 +126,7 @@ static void destroy_range(
 {
     r->nr_ranges++;
 
-    list_del(&x->list);
+    rb_erase(&x->node, &r->range_tree);
     xfree(x);
 }
 
@@ -319,7 +357,7 @@ bool_t rangeset_contains_singleton(
 bool_t rangeset_is_empty(
     const struct rangeset *r)
 {
-    return ((r == NULL) || list_empty(&r->range_list));
+    return ((r == NULL) || RB_EMPTY_ROOT(&r->range_tree));
 }
 
 struct rangeset *rangeset_new(
@@ -332,7 +370,7 @@ struct rangeset *rangeset_new(
         return NULL;
 
     rwlock_init(&r->lock);
-    INIT_LIST_HEAD(&r->range_list);
+    r->range_tree = RB_ROOT;
     r->nr_ranges = -1;
 
     BUG_ON(flags & ~RANGESETF_prettyprint_hex);
@@ -410,7 +448,7 @@ void rangeset_domain_destroy(
 
 void rangeset_swap(struct rangeset *a, struct rangeset *b)
 {
-    LIST_HEAD(tmp);
+    struct rb_node* tmp;
 
     if ( a < b )
     {
@@ -423,9 +461,9 @@ void rangeset_swap(struct rangeset *a, struct rangeset *b)
         write_lock(&a->lock);
     }
 
-    list_splice_init(&a->range_list, &tmp);
-    list_splice_init(&b->range_list, &a->range_list);
-    list_splice(&tmp, &b->range_list);
+    tmp = a->range_tree.rb_node;
+    a->range_tree.rb_node = b->range_tree.rb_node;
+    b->range_tree.rb_node = tmp;
 
     write_unlock(&a->lock);
     write_unlock(&b->lock);
-- 
1.9.1