Re: [PATCH v7 1/8] xarray: add xas_try_split() to split a multi-index entry.

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On 17.02.25 23:05, Zi Yan wrote:
On 17 Feb 2025, at 16:44, David Hildenbrand wrote:

On 11.02.25 16:50, Zi Yan wrote:
It is a preparation patch for non-uniform folio split, which always split
a folio into half iteratively, and minimal xarray entry split.

Currently, xas_split_alloc() and xas_split() always split all slots from a
multi-index entry. They cost the same number of xa_node as the to-be-split
slots. For example, to split an order-9 entry, which takes 2^(9-6)=8
slots, assuming XA_CHUNK_SHIFT is 6 (!CONFIG_BASE_SMALL), 8 xa_node are
needed. Instead xas_try_split() is intended to be used iteratively to split
the order-9 entry into 2 order-8 entries, then split one order-8 entry,
based on the given index, to 2 order-7 entries, ..., and split one order-1
entry to 2 order-0 entries. When splitting the order-6 entry and a new
xa_node is needed, xas_try_split() will try to allocate one if possible.
As a result, xas_try_split() would only need one xa_node instead of 8.

When a new xa_node is needed during the split, xas_try_split() can try to
allocate one but no more. -ENOMEM will be return if a node cannot be
allocated. -EINVAL will be return if a sibling node is split or
cascade split happens, where two or more new nodes are needed, and these
are not supported by xas_try_split().

xas_split_alloc() and xas_split() split an order-9 to order-0:

           ---------------------------------
           |   |   |   |   |   |   |   |   |
           | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
           |   |   |   |   |   |   |   |   |
           ---------------------------------
             |   |                   |   |
       -------   ---               ---   -------
       |           |     ...       |           |
       V           V               V           V
----------- -----------     ----------- -----------
| xa_node | | xa_node | ... | xa_node | | xa_node |
----------- -----------     ----------- -----------

xas_try_split() splits an order-9 to order-0:
     ---------------------------------
     |   |   |   |   |   |   |   |   |
     | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
     |   |   |   |   |   |   |   |   |
     ---------------------------------
       |
       |
       V
-----------
| xa_node |
-----------

Signed-off-by: Zi Yan <ziy@xxxxxxxxxx>
---
   Documentation/core-api/xarray.rst |  14 ++-
   include/linux/xarray.h            |   7 ++
   lib/test_xarray.c                 |  47 +++++++++++
   lib/xarray.c                      | 136 ++++++++++++++++++++++++++----
   tools/testing/radix-tree/Makefile |   1 +
   5 files changed, 188 insertions(+), 17 deletions(-)

diff --git a/Documentation/core-api/xarray.rst b/Documentation/core-api/xarray.rst
index f6a3eef4fe7f..c6c91cbd0c3c 100644
--- a/Documentation/core-api/xarray.rst
+++ b/Documentation/core-api/xarray.rst
@@ -489,7 +489,19 @@ Storing ``NULL`` into any index of a multi-index entry will set the
   entry at every index to ``NULL`` and dissolve the tie.  A multi-index
   entry can be split into entries occupying smaller ranges by calling
   xas_split_alloc() without the xa_lock held, followed by taking the lock
-and calling xas_split().
+and calling xas_split() or calling xas_try_split() with xa_lock. The
+difference between xas_split_alloc()+xas_split() and xas_try_alloc() is
+that xas_split_alloc() + xas_split() split the entry from the original
+order to the new order in one shot uniformly, whereas xas_try_split()
+iteratively splits the entry containing the index non-uniformly.
+For example, to split an order-9 entry, which takes 2^(9-6)=8 slots,
+assuming ``XA_CHUNK_SHIFT`` is 6, xas_split_alloc() + xas_split() need
+8 xa_node. xas_try_split() splits the order-9 entry into
+2 order-8 entries, then split one order-8 entry, based on the given index,
+to 2 order-7 entries, ..., and split one order-1 entry to 2 order-0 entries.
+When splitting the order-6 entry and a new xa_node is needed, xas_try_split()
+will try to allocate one if possible. As a result, xas_try_split() would only
+need 1 xa_node instead of 8.
    Functions and structures
   ========================
diff --git a/include/linux/xarray.h b/include/linux/xarray.h
index 0b618ec04115..9eb8c7425090 100644
--- a/include/linux/xarray.h
+++ b/include/linux/xarray.h
@@ -1555,6 +1555,8 @@ int xa_get_order(struct xarray *, unsigned long index);
   int xas_get_order(struct xa_state *xas);
   void xas_split(struct xa_state *, void *entry, unsigned int order);
   void xas_split_alloc(struct xa_state *, void *entry, unsigned int order, gfp_t);
+void xas_try_split(struct xa_state *xas, void *entry, unsigned int order,
+		gfp_t gfp);
   #else
   static inline int xa_get_order(struct xarray *xa, unsigned long index)
   {
@@ -1576,6 +1578,11 @@ static inline void xas_split_alloc(struct xa_state *xas, void *entry,
   		unsigned int order, gfp_t gfp)
   {
   }
+
+static inline void xas_try_split(struct xa_state *xas, void *entry,
+		unsigned int order, gfp_t gfp)
+{
+}
   #endif
    /**
diff --git a/lib/test_xarray.c b/lib/test_xarray.c
index 6932a26f4927..598ca38a2f5b 100644
--- a/lib/test_xarray.c
+++ b/lib/test_xarray.c
@@ -1857,6 +1857,49 @@ static void check_split_1(struct xarray *xa, unsigned long index,
   	xa_destroy(xa);
   }
  +static void check_split_2(struct xarray *xa, unsigned long index,
+				unsigned int order, unsigned int new_order)
+{
+	XA_STATE_ORDER(xas, xa, index, new_order);
+	unsigned int i, found;
+	void *entry;
+
+	xa_store_order(xa, index, order, xa, GFP_KERNEL);
+	xa_set_mark(xa, index, XA_MARK_1);
+
+	xas_lock(&xas);
+	xas_try_halve(&xas, xa, order, GFP_KERNEL);
+	if (((new_order / XA_CHUNK_SHIFT) < (order / XA_CHUNK_SHIFT)) &&
+	    new_order < order - 1) {
+		XA_BUG_ON(xa, !xas_error(&xas) || xas_error(&xas) != -EINVAL);
+		xas_unlock(&xas);
+		goto out;
+	}
+	for (i = 0; i < (1 << order); i += (1 << new_order))
+		__xa_store(xa, index + i, xa_mk_index(index + i), 0);
+	xas_unlock(&xas);
+
+	for (i = 0; i < (1 << order); i++) {
+		unsigned int val = index + (i & ~((1 << new_order) - 1));
+		XA_BUG_ON(xa, xa_load(xa, index + i) != xa_mk_index(val));
+	}
+
+	xa_set_mark(xa, index, XA_MARK_0);
+	XA_BUG_ON(xa, !xa_get_mark(xa, index, XA_MARK_0));
+
+	xas_set_order(&xas, index, 0);
+	found = 0;
+	rcu_read_lock();
+	xas_for_each_marked(&xas, entry, ULONG_MAX, XA_MARK_1) {
+		found++;
+		XA_BUG_ON(xa, xa_is_internal(entry));
+	}
+	rcu_read_unlock();
+	XA_BUG_ON(xa, found != 1 << (order - new_order));
+out:
+	xa_destroy(xa);
+}
+
   static noinline void check_split(struct xarray *xa)
   {
   	unsigned int order, new_order;
@@ -1868,6 +1911,10 @@ static noinline void check_split(struct xarray *xa)
   			check_split_1(xa, 0, order, new_order);
   			check_split_1(xa, 1UL << order, order, new_order);
   			check_split_1(xa, 3UL << order, order, new_order);
+
+			check_split_2(xa, 0, order, new_order);
+			check_split_2(xa, 1UL << order, order, new_order);
+			check_split_2(xa, 3UL << order, order, new_order);
   		}
   	}
   }
diff --git a/lib/xarray.c b/lib/xarray.c
index 116e9286c64e..c38beca77830 100644
--- a/lib/xarray.c
+++ b/lib/xarray.c
@@ -1007,6 +1007,31 @@ static void node_set_marks(struct xa_node *node, unsigned int offset,
   	}
   }
  +static struct xa_node *__xas_alloc_node_for_split(struct xa_state *xas,
+		void *entry, gfp_t gfp)
+{
+	unsigned int i;
+	void *sibling = NULL;
+	struct xa_node *node;
+	unsigned int mask = xas->xa_sibs;
+
+	node = kmem_cache_alloc_lru(radix_tree_node_cachep, xas->xa_lru, gfp);
+	if (!node)
+		return NULL;
+	node->array = xas->xa;
+	for (i = 0; i < XA_CHUNK_SIZE; i++) {
+		if ((i & mask) == 0) {
+			RCU_INIT_POINTER(node->slots[i], entry);
+			sibling = xa_mk_sibling(i);
+		} else {
+			RCU_INIT_POINTER(node->slots[i], sibling);
+		}
+	}
+	RCU_INIT_POINTER(node->parent, xas->xa_alloc);
+
+	return node;
+}
+
   /**
    * xas_split_alloc() - Allocate memory for splitting an entry.
    * @xas: XArray operation state.
@@ -1025,7 +1050,6 @@ void xas_split_alloc(struct xa_state *xas, void *entry, unsigned int order,
   		gfp_t gfp)
   {
   	unsigned int sibs = (1 << (order % XA_CHUNK_SHIFT)) - 1;
-	unsigned int mask = xas->xa_sibs;
    	/* XXX: no support for splitting really large entries yet */
   	if (WARN_ON(xas->xa_shift + 2 * XA_CHUNK_SHIFT <= order))
@@ -1034,23 +1058,9 @@ void xas_split_alloc(struct xa_state *xas, void *entry, unsigned int order,
   		return;
    	do {
-		unsigned int i;
-		void *sibling = NULL;
-		struct xa_node *node;
-
-		node = kmem_cache_alloc_lru(radix_tree_node_cachep, xas->xa_lru, gfp);
+		struct xa_node *node = __xas_alloc_node_for_split(xas, entry, gfp);
   		if (!node)
   			goto nomem;
-		node->array = xas->xa;
-		for (i = 0; i < XA_CHUNK_SIZE; i++) {
-			if ((i & mask) == 0) {
-				RCU_INIT_POINTER(node->slots[i], entry);
-				sibling = xa_mk_sibling(i);
-			} else {
-				RCU_INIT_POINTER(node->slots[i], sibling);
-			}
-		}
-		RCU_INIT_POINTER(node->parent, xas->xa_alloc);
   		xas->xa_alloc = node;
   	} while (sibs-- > 0);
  @@ -1122,6 +1132,100 @@ void xas_split(struct xa_state *xas, void *entry, unsigned int order)
   	xas_update(xas, node);
   }
   EXPORT_SYMBOL_GPL(xas_split);
+
+/**
+ * xas_try_split() - Try to split a multi-index entry.
+ * @xas: XArray operation state.
+ * @entry: New entry to store in the array.
+ * @order: Current entry order.
+ * @gfp: Memory allocation flags.
+ *
+ * The size of the new entries is set in @xas.  The value in @entry is
+ * copied to all the replacement entries. If and only if one xa_node needs to
+ * be allocated, the function will use @gfp to get one. If more xa_node are
+ * needed, the function gives EINVAL error.
+ *
+ * Context: Any context.  The caller should hold the xa_lock.
+ */
+void xas_try_split(struct xa_state *xas, void *entry, unsigned int order,
+		gfp_t gfp)
+{
+	unsigned int sibs = (1 << (order % XA_CHUNK_SHIFT)) - 1;
+	unsigned int offset, marks;
+	struct xa_node *node;
+	void *curr = xas_load(xas);
+	int values = 0;
+
+	node = xas->xa_node;
+	if (xas_top(node))
+		return;
+
+	if (xas->xa->xa_flags & XA_FLAGS_ACCOUNT)
+		gfp |= __GFP_ACCOUNT;
+
+	marks = node_get_marks(node, xas->xa_offset);
+
+	offset = xas->xa_offset + sibs;
+	do {
+		if (xas->xa_shift < node->shift) {
+			struct xa_node *child = xas->xa_alloc;
+			unsigned int expected_sibs =
+				(1 << ((order - 1) % XA_CHUNK_SHIFT)) - 1;
+
+			/*
+			 * No support for splitting sibling entries
+			 * (horizontally) or cascade split (vertically), which
+			 * requires two or more new xa_nodes.
+			 * Since if one xa_node allocation fails,
+			 * it is hard to free the prior allocations.
+			 */
+			if (sibs || xas->xa_sibs != expected_sibs) {
+				xas_destroy(xas);
+				xas_set_err(xas, -EINVAL);
+				return;
+			}
+
+			if (!child) {
+				child = __xas_alloc_node_for_split(xas, entry,
+						gfp);
+				if (!child) {
+					xas_destroy(xas);
+					xas_set_err(xas, -ENOMEM);
+					return;
+				}
+			}

No expert on this, just wondering ...

... what is the effect if we halfway-through fail the split? Is it okay to leave that "partially split" thing in place? Can callers deal with that?

Good question.


Let me rephrase: In __split_unmapped_folio(), we call xas_try_split(). If that fails, we stop the split and effectively skip over the __split_folio_to_order(). The folio remains unsplit (no order change: old_order).

xas_try_split() was instructed to split from old_order -> split_order.

xas_try_split() documents that: "The value in @entry is copied to all the replacement entries.", meaning after the split, all entries will be pointing at the folio.

Now, can it happen that xas_try_split() would ever perform a partial split in any way, when invoked from __split_unmapped_folio(), such that we run into the do { } while(); loop and fail with -ENOMEM after already having performed changes -- xas_update().

Or is that simply impossible?

Maybe it's just the do { } while(); loop in there that is confusing me. (again, no expert)

xas_try_split() imposes what kind of split it does and is usually used to
split from order N to order N-1:

You mean that old_order -> split_order will in the case of __split_unmapped_folio() always be a difference of 1?


1. when N is a multiplier of XA_CHUNK_SHIFT, a new xa_node is needed, so
either child (namely xas->xa_alloc) is not NULL, meaning someone called
xa_nomem() to allocate a xa_node before xas_try_split() or child is NULL
and an allocation is needed. If child is still NULL after the allocation,
meaning we are out of memory, no split is done;

2. when N is not, no new xa_node is needed, xas_try_split() just rewrites
existing slot values to perform the split (the code after the hunk above).
No fail will happen. For this split, since no new xa_node is needed,
the caller is actually allowed to split from N to a value smaller than
N-1 as long as N-1 is >= (N - N % XA_CHUNK_SHIFT).


Various checks make sure xas_try_split() only sees the two above situation:

a. "xas->xa_shift < node->shift" means the split crosses XA_CHUNK_SHIFT,
at least 1 new xa_node is needed; the else branch only handles the case
2 above;

b. for the then branch the "if (sibs || xas->xa_sibs != expected_sibs)"
check makes sure N is a multiplier of XA_CHUNK_SHIFT and the new order
has to be N-1. In "if (sibs || xas->xa_sibs != expected_sibs)",
"sibs != 0" means the from order N covers more than 1 slot, so more than 1
new xa_node is needed, "xas->xa_sibs != expected_sibs" makes sure
the new order is N-1 (you can see it from how expected_sibs is assigned).

Thanks!


Let me know if you have any other question.

Thanks for the details!

--
Cheers,

David / dhildenb





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