Now we have four kinds of dependencies in the dependency graph, and not
all the pathes carry strong dependencies, for example:

        Given lock A, B, C, if we have:

        CPU1                    CPU2
        =============           ==============
        write_lock(A);          read_lock(B);
        read_lock(B);           write_lock(C);

        then we have dependencies A--(NR)-->B, and B--(RN)-->C, (NR and
        RN are to indicate the dependency kind), A actually doesn't have
        strong dependency to C(IOW, C doesn't depend on A), to see this,
        let's say we have a third CPU3 doing:

        CPU3:
        =============
        write_lock(C);
        write_lock(A);

        , this is not a deadlock. However if we change the read_lock()
        on CPU2 to a write_lock(), it's a deadlock then.

        So A --(NR)--> B --(RN)--> C is not a strong dependency path but
        A --(NR)--> B --(NN)-->C is a strong dependency path.

We can generalize this as: If a path of dependencies doesn't have two
adjacent dependencies as (*R)--L-->(R*), where L is some lock, it is a
strong dependency path, otherwise it's not.

Now our mission is to make __bfs() traverse only the strong dependency
paths, which is simple: we record whether we have -(*R)-> at the current
tail of the path in lock_list::is_rr, and whenever we pick a dependency
in the traverse, we 1) make sure we don't pick a -(R*)-> dependency if
our current tail is -(*R)-> and 2) greedily pick a -(*N)-> as hard as
possible.

With this extension for __bfs(), we now need to initialize the root of
__bfs() properly(with a correct ->is_rr), to do so, we introduce some
helper functions, which also cleans up a little bit for the __bfs() root
initialization code.

Signed-off-by: Boqun Feng <boqun.f...@gmail.com>
---
 include/linux/lockdep.h  |   2 +
 kernel/locking/lockdep.c | 116 ++++++++++++++++++++++++++++++++++++++++-------
 2 files changed, 101 insertions(+), 17 deletions(-)

diff --git a/include/linux/lockdep.h b/include/linux/lockdep.h
index ab1e5a7d8864..a1f91f8680bd 100644
--- a/include/linux/lockdep.h
+++ b/include/linux/lockdep.h
@@ -189,6 +189,8 @@ struct lock_list {
        int                             distance;
        /* bitmap of different dependencies from head to this */
        u16                             dep;
+       /* used by BFS to record whether this is picked as a recursive read */
+       u16                             is_rr;
 
        /*
         * The parent field is used to implement breadth-first search, and the
diff --git a/kernel/locking/lockdep.c b/kernel/locking/lockdep.c
index acd25bfc336d..07bcfaac6fe2 100644
--- a/kernel/locking/lockdep.c
+++ b/kernel/locking/lockdep.c
@@ -1040,6 +1040,89 @@ static inline unsigned int calc_dep(int prev, int next)
        return 1U << __calc_dep_bit(prev, next);
 }
 
+/*
+ * return -1 if no proper dependency could be picked
+ * return 0 if a -(*N)-> dependency could be picked
+ * return 1 if only a -(*R)-> dependency could be picked
+ *
+ * N: non-recursive lock
+ * R: recursive read lock
+ */
+static inline int pick_dep(u16 is_rr, u16 cap_dep)
+{
+       if (is_rr) { /* could only pick -(N*)-> */
+               if (cap_dep & DEP_NN_MASK)
+                       return 0;
+               else if (cap_dep & DEP_NR_MASK)
+                       return 1;
+               else
+                       return -1;
+       } else {
+               if (cap_dep & DEP_NN_MASK || cap_dep & DEP_RN_MASK)
+                       return 0;
+               else
+                       return 1;
+       }
+}
+
+/*
+ * Initialize a lock_list entry @lock belonging to @class as the root for a BFS
+ * search.
+ */
+static inline void __bfs_init_root(struct lock_list *lock,
+                                  struct lock_class *class)
+{
+       lock->class = class;
+       lock->parent = NULL;
+       lock->is_rr = 0;
+}
+
+/*
+ * Initialize a lock_list entry @lock based on a lock acquisition @hlock as the
+ * root for a BFS search.
+ */
+static inline void bfs_init_root(struct lock_list *lock,
+                                struct held_lock *hlock)
+{
+       __bfs_init_root(lock, hlock_class(hlock));
+       lock->is_rr = (hlock->read == 2);
+}
+
+/*
+ * Breadth-First Search to find a strong path in the dependency graph.
+ *
+ * @source_entry: the source of the path we are searching for.
+ * @data: data used for the second parameter of @match function
+ * @match: match function for the search
+ * @target_entry: pointer to the target of a matched path
+ * @forward: direction of path, the lockdep dependency forward or backward
+ *
+ * We may have multiple edges(considering different kinds of dependencies, e.g.
+ * -(NR)-> and -(RN)->) between two nodes in the dependency graph, which may
+ * undermine the normal BFS algorithm, however, we are lucky because: in the
+ * search, for each pair of adjacent nodes, we can pick the edge greedily:
+ *
+ *     Say we have nodes L0, L1 and L2, and we already pick edge from L0 to
+ *     L1, and we are going to pick the edge from L1 to L2, because we are
+ *     picking edges to *strong* path, that means if we pick -(*R)-> for L0 to
+ *     L1 (i.e. we pick L0 -(*R)-> L1), we can not pick any L1 -(R*)-> L2.
+ *
+ *     And if we pick L0 -(NR)-> L1, and we have edge 1) L1-(NR)->L2 and 2)
+ *     L1-(NN)->L2, we can greedily pick edge 2) for the path searching,
+ *     because a) if ...->L0-(NR)->L1-(NR)->L2->... could cause a deadlock,
+ *     then so does ...->L0->(NR)->L1-(NN)->L2->... and b) picking 2) means we
+ *     can pick any kinds of edge for L2 to the next node, so we can search
+ *     more deadlock cases then picking 1).
+ *
+ * So we have two rules of picking edges in BFS:
+ *
+ * "strong": if the previous edge we pick is -(*R)->, we must pick -(N*)->,
+ *           otherwise, we can pick any kind.
+ * "greedy": if we can pick -(*R)-> or -(*N)-> (if both of them satisfies the
+ *           "strong" rule), we always pick -(*N)-> ones.
+ *
+ * And that's how pick_dep() is implemeneted.
+ */
 static enum bfs_result __bfs(struct lock_list *source_entry,
                             void *data,
                             int (*match)(struct lock_list *entry, void *data),
@@ -1050,6 +1133,7 @@ static enum bfs_result __bfs(struct lock_list 
*source_entry,
        struct list_head *head;
        struct circular_queue *cq = &lock_cq;
        enum bfs_result ret = BFS_RNOMATCH;
+       int is_rr, next_is_rr;
 
        if (match(source_entry, data)) {
                *target_entry = source_entry;
@@ -1095,11 +1179,18 @@ static enum bfs_result __bfs(struct lock_list 
*source_entry,
                else
                        head = &lock->class->locks_before;
 
+               is_rr = lock->is_rr;
+
                DEBUG_LOCKS_WARN_ON(!irqs_disabled());
 
                list_for_each_entry_rcu(entry, head, entry) {
                        unsigned int cq_depth;
 
+                       next_is_rr = pick_dep(is_rr, entry->dep);
+                       if (next_is_rr < 0)
+                               continue;
+                       entry->is_rr = next_is_rr;
+
                        visit_lock_entry(entry, lock);
                        if (match(entry, data)) {
                                *target_entry = entry;
@@ -1326,8 +1417,7 @@ unsigned long lockdep_count_forward_deps(struct 
lock_class *class)
        unsigned long ret, flags;
        struct lock_list this;
 
-       this.parent = NULL;
-       this.class = class;
+       __bfs_init_root(&this, class);
 
        local_irq_save(flags);
        arch_spin_lock(&lockdep_lock);
@@ -1353,8 +1443,7 @@ unsigned long lockdep_count_backward_deps(struct 
lock_class *class)
        unsigned long ret, flags;
        struct lock_list this;
 
-       this.parent = NULL;
-       this.class = class;
+       __bfs_init_root(&this, class);
 
        local_irq_save(flags);
        arch_spin_lock(&lockdep_lock);
@@ -1641,17 +1730,14 @@ check_usage(struct task_struct *curr, struct held_lock 
*prev,
        struct lock_list *uninitialized_var(target_entry);
        struct lock_list *uninitialized_var(target_entry1);
 
-       this.parent = NULL;
-
-       this.class = hlock_class(prev);
+       bfs_init_root(&this, prev);
        ret = find_usage_backwards(&this, bit_backwards, &target_entry);
        if (bfs_error(ret))
                return print_bfs_bug(ret);
        if (ret == BFS_RNOMATCH)
                return 1;
 
-       that.parent = NULL;
-       that.class = hlock_class(next);
+       bfs_init_root(&that, next);
        ret = find_usage_forwards(&that, bit_forwards, &target_entry1);
        if (bfs_error(ret))
                return print_bfs_bug(ret);
@@ -1907,8 +1993,7 @@ check_prev_add(struct task_struct *curr, struct held_lock 
*prev,
         * We are using global variables to control the recursion, to
         * keep the stackframe size of the recursive functions low:
         */
-       this.class = hlock_class(next);
-       this.parent = NULL;
+       bfs_init_root(&this, next);
        ret = check_noncircular(&this, hlock_class(prev), &target_entry);
        if (unlikely(ret == BFS_RMATCH)) {
                if (!trace->entries) {
@@ -1966,8 +2051,7 @@ check_prev_add(struct task_struct *curr, struct held_lock 
*prev,
        /*
         * Is the <prev> -> <next> link redundant?
         */
-       this.class = hlock_class(prev);
-       this.parent = NULL;
+       bfs_init_root(&this, prev);
        ret = check_redundant(&this, hlock_class(next), &target_entry);
        if (ret == BFS_RMATCH) {
                debug_atomic_inc(nr_redundant);
@@ -2710,8 +2794,7 @@ check_usage_forwards(struct task_struct *curr, struct 
held_lock *this,
        struct lock_list root;
        struct lock_list *uninitialized_var(target_entry);
 
-       root.parent = NULL;
-       root.class = hlock_class(this);
+       bfs_init_root(&root, this);
        ret = find_usage_forwards(&root, bit, &target_entry);
        if (bfs_error(ret))
                return print_bfs_bug(ret);
@@ -2734,8 +2817,7 @@ check_usage_backwards(struct task_struct *curr, struct 
held_lock *this,
        struct lock_list root;
        struct lock_list *uninitialized_var(target_entry);
 
-       root.parent = NULL;
-       root.class = hlock_class(this);
+       bfs_init_root(&root, this);
        ret = find_usage_backwards(&root, bit, &target_entry);
        if (bfs_error(ret))
                return print_bfs_bug(ret);
-- 
2.16.1

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