Re: [PATCH v5 07/70] Maple Tree: Add new data structure

From: Liam Howlett
Date: Wed Feb 02 2022 - 21:39:24 EST


* Mike Rapoport <rppt@xxxxxxxxxx> [220202 12:11]:
> Hi Liam,
>
> On Wed, Feb 02, 2022 at 02:41:56AM +0000, Liam Howlett wrote:
> > From: "Liam R. Howlett" <Liam.Howlett@xxxxxxxxxx>
> >
> > The maple tree is an RCU-safe range based B-tree designed to use modern
> > processor cache efficiently. There are a number of places in the kernel
> > that a non-overlapping range-based tree would be beneficial, especially
> > one with a simple interface. The first user that is covered in this
> > patch set is the vm_area_struct, where three data structures are
> > replaced by the maple tree: the augmented rbtree, the vma cache, and the
> > linked list of VMAs in the mm_struct. The long term goal is to reduce
> > or remove the mmap_sem contention.
> >
> > The tree has a branching factor of 10 for non-leaf nodes and 16 for leaf
> > nodes. With the increased branching factor, it is significantly shorter than
> > the rbtree so it has fewer cache misses. The removal of the linked list
> > between subsequent entries also reduces the cache misses and the need to pull
> > in the previous and next VMA during many tree alterations.
> >
> > Signed-off-by: Matthew Wilcox (Oracle) <willy@xxxxxxxxxxxxx>
> > Signed-off-by: Liam R. Howlett <Liam.Howlett@xxxxxxxxxx>
> > ---
> > Documentation/core-api/index.rst | 1 +
> > Documentation/core-api/maple_tree.rst | 196 +
> > MAINTAINERS | 12 +
> > include/linux/maple_tree.h | 673 ++
> > include/trace/events/maple_tree.h | 123 +
> > lib/Kconfig.debug | 9 +
> > lib/Makefile | 3 +-
> > lib/maple_tree.c | 6943 +++++++++++++++++
> > tools/testing/radix-tree/.gitignore | 2 +
> > tools/testing/radix-tree/Makefile | 13 +-
> > tools/testing/radix-tree/generated/autoconf.h | 1 +
> > tools/testing/radix-tree/linux/maple_tree.h | 7 +
> > tools/testing/radix-tree/maple.c | 59 +
> > .../radix-tree/trace/events/maple_tree.h | 3 +
> > 14 files changed, 8042 insertions(+), 3 deletions(-)
> > create mode 100644 Documentation/core-api/maple_tree.rst
> > create mode 100644 include/linux/maple_tree.h
> > create mode 100644 include/trace/events/maple_tree.h
> > create mode 100644 lib/maple_tree.c
> > create mode 100644 tools/testing/radix-tree/linux/maple_tree.h
> > create mode 100644 tools/testing/radix-tree/maple.c
> > create mode 100644 tools/testing/radix-tree/trace/events/maple_tree.h
> >
> > diff --git a/Documentation/core-api/index.rst b/Documentation/core-api/index.rst
> > index 5de2c7a4b1b3..c669e0abcfd6 100644
> > --- a/Documentation/core-api/index.rst
> > +++ b/Documentation/core-api/index.rst
> > @@ -34,6 +34,7 @@ Library functionality that is used throughout the kernel.
> > kref
> > assoc_array
> > xarray
> > + maple_tree
> > idr
> > circular-buffers
> > rbtree
> > diff --git a/Documentation/core-api/maple_tree.rst b/Documentation/core-api/maple_tree.rst
> > new file mode 100644
> > index 000000000000..06c54230d985
> > --- /dev/null
> > +++ b/Documentation/core-api/maple_tree.rst
> > @@ -0,0 +1,196 @@
> > +.. SPDX-License-Identifier: GPL-2.0+
> > +
> > +
> > +==========
> > +Maple Tree
> > +==========
> > +
> > +:Author: Liam R. Howlett
> > +
> > +Overview
> > +========
> > +
> > +The Maple Tree is a B-Tree data type which is optimized for storing
> > +non-overlapping ranges, including ranges of size 1. The tree was designed to
> > +be simple to use and does not require a user written search method. It
> > +supports iterating over a range of entries and going to the previous or next in
>
> entry ^

Thanks

>
> > +a cache-efficient manner. The tree can also be put into an RCU-safe mode of
> > +operation which allows reading and writing concurrently. Writers must
> > +synchronize on a lock, which can be the default spinlock, or the user can set
> > +the lock to an external lock of a different type.
> > +
> > +The Maple Tree maintains a small memory footprint and was designed to use
> > +modern processor cache efficiently. The most important user of the Maple Tree
> > +is the virtual memory area.
>
> For me it sounds like VMA *is* the maple tree user. Maybe
>
> The most important usage of the Maple Tree is tracking of the virtual
> memory areas.
>

Thanks, I can see that now. I'm not a fan of either of the ways this is
written but yours is more clear.

> > +
> > +The Maple Tree can store between 0 and ``ULONG_MAX``. The Maple Tree reserves
>
> ^ values

Thanks

>
> > +values with the bottom two bits set to '10' which are below 4096 (ie 2, 6, 10
> > +.. 4094) for internal use. If the entries may use reserved entries then the
> > +users can convert the entries using xa_mk_value() and convert them back by
>
> Maybe
>
> If an entry needs to use a reserved value then the user can convert the
> value using ...

I'll make a change here to see if i can clarify.

>
> > +calling xa_to_value(). The reserved values can be used by the advanced API,
> > +but are blocked by the normal API.
>
> I'd add a sentence about existence of "normal" and "advanced" API to the
> first two paragraphs.

I agree, that would be good. I'll also create :ref: to them and such as
you suggest later.

>
> > +
> > +The Maple Tree can also be configured to support searching for a gap of a given
> > +size (or larger). The tree must be initialized as an allocation tree to
> > +support this feature.
>
> I afraid it's not clear at this point what "an allocation tree" means. I
> think the first sentence alone would be enough for the overview section.

Okay, I will drop the last part.

>
> > +
> > +Pre-allocating of nodes is also supported using the advanced API. This is
> > +useful for users who must guarantee a successful store operation within a given
> > +code segment when allocating cannot be done. Allocations of nodes are
> > +relatively small at 256 bytes.
>
> I doubt the size here will get timely updates when the node size will
> change in the code, maybe use "around" or "roughly" to be future proof? :)

Good plan.

>
> > +
> > +Normal API
> > +==========
> > +
> > +Start by initialising a maple tree, either with DEFINE_MTREE() for statically
> > +allocated maple trees or mt_init() for dynamically allocated ones. A
> > +freshly-initialised maple tree contains a ``NULL`` pointer for the range 0 -
> > +``ULONG_MAX``. There are currently two types of maple trees supported: the
> > +allocation tree and the regular tree. The regular tree has a higher branching
> > +factor for internal nodes. The allocation tree has a lower branching factor
> > +but allows the user to search for a gap of a given size or larger from either 0
> > +upwards or ``ULONG_MAX`` down. An allocation tree can be used by passing in
> > +the ``MAPLE_ALLOC_RANGE`` flag when initialising the tree.
> > +
> > +You can then set entries using mtree_store() or mtree_store_range().
> > +mtree_store will overwrite any entry with the new entry and return the previous
>
> ^ Did you intentionally drop brackets here?

I did not. I will fix that.

>
> > +entry stored at that index. mtree_store_range works in the same way but only
> > +returns the first entry that is overwritten. mtree_load() is used to retrieve
>
> kernel-doc of these functions says that they return 0 or errno. What did I
> miss?

I will update the documentation to match the return types of the
function/kernel-doc.

>
> > +the entry stored at a given index. You can use mtree_erase() to erase an
> > +entire range by only knowing one value within that range, or mtree_store() call
> > +with an entry of NULL may be used to partially erase a range.
> > +
> > +If you want to only store a new entry to a range (or index) if that range is
> > +currently ``NULL``, you can use mtree_insert_range() or mtree_insert() which
> > +return -EEXIST if the range is not empty.
> > +
> > +You can search for an entry from an index upwards by using mt_find().
> > +
> > +You can walk each entry within a range by calling mt_for_each(). You must
> > +provide a temporary variable to store a cursor. If you want to walk each
> > +element of the tree then 0 and ``ULONG_MAX`` may be used as the range. If the
>
> Why 0 and ULONG_MAX have different markup?

I will change 0 to ``0`` where necessary, thanks.

>
> > +caller is going to hold the lock for the duration of the walk then it is worth
>
> Do you refer to the maple tree internal lock or any lock here?
>
> > +looking at the mas_for_each() API in the Advanced API section.
>
> Maybe make "Advanced API" a hyperlink.
>
> > +
> > +Sometimes it is necessary to ensure the next call to store to a maple tree does
> > +not allocate memory, please see the advanced API for this use case.
> > +
> > +Finally, you can remove all entries from a maple tree by calling
> > +mtree_destroy(). If the maple tree entries are pointers, you may wish to free
> > +the entries first.
> > +
> > +Allocating Nodes
> > +----------------
> > +
> > +When using the normal API, the allocations are handled by the internal
> > +tree code.
>
> Since this is a part of "Normal API" description the "When using normal
> API" seems redundant.

I was trying to avoid people who need special allocations from
disregarding the tree when they see that with a quick scan. I will add
a link to the advanced api allocating of nodes instead.

>
> > +
> > +Locking
> > +-------
> > +
> > +When using the Normal API, you do not have to worry about locking.
>
> Ditto

We support using an external lock and so people who see it's handled
internally in the normal API may just stop reading and go look for
another data structure. I will add an advanced locking section and link
it here instead.

>
> > +The Maple Tree uses RCU and an internal spinlock to synchronise access:
> > +
> > +Takes RCU read lock:
> > + * mtree_load()
> > + * mt_find()
> > + * mt_for_each()
> > + * mt_next()
> > + * mt_prev()
> > +
> > +Takes ma_lock internally:
> > + * mtree_store()
> > + * mtree_store_range()
> > + * mtree_insert()
> > + * mtree_insert_range()
> > + * mtree_erase()
> > + * mtree_destroy()
> > + * mt_set_in_rcu()
> > + * mt_clear_in_rcu()
> > +
> > +If you want to take advantage of the lock to protect the data structures
>
> I believe this is about the internal lock, it would be nice to spell this
> out.

Thanks.

>
> > +that you are storing in the Maple Tree, you can call mtree_lock() before
> > +calling mtree_load(), then take a reference count on the object you have
> > +found before calling mtree_unlock(). This will prevent stores from
> > +removing the object from the tree between looking up the object and
> > +incrementing the refcount. You can also use RCU to avoid dereferencing
> > +freed memory, but an explanation of that is beyond the scope of this
> > +document.
> > +
> > +Advanced API
> > +============
> > +
> > +The advanced API offers more flexibility and better performance at the
> > +cost of an interface which can be harder to use and has fewer safeguards.
> > +You must take care of your own locking while using the advanced API.
> > +You can use the ma_lock, RCU or an external lock for protection.
> > +You can mix advanced and normal operations on the same array, as long
> > +as the locking is compatible. The normal API is implemented in terms
> > +of the advanced API.
> > +
> > +The advanced API is based around the ma_state, this is where the 'mas'
> > +prefix originates. The ma_state struct keeps track of tree operations to make
> > +life easier for both internal and external tree users.
> > +
> > +Initialising the maple tree is the same as in the normal API. Please see
> > +above.
> > +
> > +The maple state keeps track of the range start and end in mas->index and
> > +mas->last, respectively.
> > +
> > +mas_walk() will walk the tree to the location of index and set the index
> > +and last according to the range for the entry.
>
> ^ fields? or maybe even mas->index and mas->last?

Yes, I will use mas->index/mas->last here.

> > +
> > +You can set entries using mas_store(). mas_store() will overwrite any entry
> > +with the new entry and return the first existing entry that is overwritten.
> > +The range is passed in as members of the maple state: index and last.
> > +
> > +You can use mas_erase() to erase an entire range by setting index and
> > +last of the maple state to the desired range to erase. This will erase
> > +the first range that is found in that range, set the maple state index
> > +and last as the range that was erased and return the entry that existed
> > +at that location.
> > +
> > +You can walk each entry within a range by using mas_for_each(). If you want to
> > +walk each element of the tree then 0 and ``ULONG_MAX`` may be used as the
> > +range. If the lock needs to be periodically dropped, see the locking section
> > +mas_pause().
> > +
> > +Using a maple state allows mas_next() and mas_prev() to function as if the
> > +tree was a linked list. With such a high branching factor the amortized
> > +performance penalty is outweighed by cache optimization. mas_next() will
> > +return the next entry which occurs after the entry at index. mas_prev()
> > +will return the previous entry which occurs before the entry at index.
> > +
> > +mas_find() will find the first entry which exists at or above index on
> > +the first call, and the next entry from every subsequent calls.
> > +
> > +mas_find_rev() will find the fist entry which exists at or below the last on
> > +the first call, and the previous entry from every subsequent calls.
> > +
> > +If the user needs to yield the lock during an operation, then the maple state
> > +must be paused using mas_pause().
> > +
> > +There are a few extra interfaces provided when using an allocation tree.
> > +If you wish to search for a gap within a range, then mas_empty_area()
> > +or mas_empty_area_rev() can be used. mas_empty_area searches for a
>
> ^ brackets?
>

Thanks

> > +gap starting at the lowest index given up to the maximum of the range.
> > +mas_empty_area_rev searches for a gap starting at the highest index
>
> ^ and here?

Thanks

>
> > +given and continues downward to the lower bound of the range.
> > +
> > +Allocating Nodes
> > +----------------
> > +
> > +Allocations are usually handled internally to the tree, however if allocations
> > +need to occur before a write occurs then calling mas_entry_count() will
> > +allocate the worst-case number of needed nodes to insert the provided number of
> > +ranges. This also causes the tree to enter mass insertion mode. Once
> > +insertions are complete calling mas_destroy() on the maple state will free the
> > +unused allocations.
> > +
> > +Functions and structures
> > +========================
> > +
> > +.. kernel-doc:: include/linux/maple_tree.h
> > +.. kernel-doc:: lib/maple_tree.c
> > +
> > diff --git a/MAINTAINERS b/MAINTAINERS
> > index f41088418aae..a35478a3dee3 100644
> > --- a/MAINTAINERS
> > +++ b/MAINTAINERS
> > @@ -11415,6 +11415,18 @@ L: linux-man@xxxxxxxxxxxxxxx
> > S: Maintained
> > W: http://www.kernel.org/doc/man-pages
> >
> > +MAPLE TREE
> > +M: Liam R. Howlett <Liam.Howlett@xxxxxxxxxx>
> > +L: linux-mm@xxxxxxxxx
> > +S: Supported
> > +F: Documentation/core-api/maple_tree.rst
> > +F: include/linux/maple_tree.h
> > +F: include/trace/events/maple_tree.h
> > +F: lib/maple_tree.c
> > +F: lib/test_maple_tree.c
> > +F: tools/testing/_adix-tree/linux/maple_tree.h
> > +F: tools/testing/radix-tree/maple.c
> > +
> > MARDUK (CREATOR CI40) DEVICE TREE SUPPORT
> > M: Rahul Bedarkar <rahulbedarkar89@xxxxxxxxx>
> > L: linux-mips@xxxxxxxxxxxxxxx
> > diff --git a/include/linux/maple_tree.h b/include/linux/maple_tree.h
> > new file mode 100644
> > index 000000000000..14ddeaa8f3e7
> > --- /dev/null
> > +++ b/include/linux/maple_tree.h
> > @@ -0,0 +1,673 @@
> > +/* SPDX-License-Identifier: GPL-2.0+ */
> > +#ifndef _LINUX_MAPLE_TREE_H
> > +#define _LINUX_MAPLE_TREE_H
> > +/*
> > + * Maple Tree - An RCU-safe adaptive tree for storing ranges
> > + * Copyright (c) 2018 Oracle
>
> 2018 - 2022?

Wait, what happened in 2019-2022? Did I miss anything?

>
> > + * Authors: Liam R. Howlett <Liam.Howlett@xxxxxxxxxx>
> > + * Matthew Wilcox <willy@xxxxxxxxxxxxx>
> > + */
> > +
> > +#include <linux/kernel.h>
> > +#include <linux/rcupdate.h>
> > +#include <linux/spinlock.h>
> > +/* #define CONFIG_MAPLE_RCU_DISABLED */
> > +/* #define CONFIG_DEBUG_MAPLE_TREE_VERBOSE */
> > +
> > +/*
> > + * Allocated nodes are mutable until they have been inserted into the tree,
> > + * at which time they cannot change their type until they have been removed
> > + * from the tree and an RCU grace period has passed.
> > + *
> > + * Removed nodes have their ->parent set to point to themselves. RCU readers
> > + * check ->parent before relying on the value that they loaded from the
> > + * slots array. This lets us reuse the slots array for the RCU head.
> > + *
> > + * Nodes in the tree point to their parent unless bit 0 is set.
>
> There are a lots of comments describing the maple tree internals here and
> below. Did yaou consider adding a section "Implementation details" or
> something like that to the maple_tree.rst and linking these comments there
> with DOC: and some glue text?

I did. I actually had it in there but moved it into the code in an
effort to avoid the documentation from being a developer doc. I'd like
it to be a user document. I also did not want the implementation
details to be too far away from the code to avoid it being missed when
the code changes.

>
> > + */
> > +#if defined(CONFIG_64BIT) || defined(BUILD_VDSO32_64)
> > +/* 64bit sizes */
> > +#define MAPLE_NODE_SLOTS 31 /* 256 bytes including ->parent */
> > +#define MAPLE_RANGE64_SLOTS 16 /* 256 bytes */
> > +#define MAPLE_ARANGE64_SLOTS 10 /* 240 bytes */
> > +#define MAPLE_ARANGE64_META_MAX 15 /* Out of range for metadata */
> > +#define MAPLE_ALLOC_SLOTS (MAPLE_NODE_SLOTS - 1)
> > +#else
> > +/* 32bit sizes */
> > +#define MAPLE_NODE_SLOTS 63 /* 256 bytes including ->parent */
> > +#define MAPLE_RANGE64_SLOTS 32 /* 256 bytes */
> > +#define MAPLE_ARANGE64_SLOTS 21 /* 240 bytes */
> > +#define MAPLE_ARANGE64_META_MAX 22 /* Out of range for metadata */
> > +#define MAPLE_ALLOC_SLOTS (MAPLE_NODE_SLOTS - 2)
> > +#endif /* defined(CONFIG_64BIT) || defined(BUILD_VDSO32_64) */
> > +
> > +#define MAPLE_NODE_MASK 255UL
>
> ...
>
> > +/**
> > + * DOC: Maple tree flags
>
> I don't see this referenced in the Documentation/ changes

It is referenced incorrectly, thanks.

>
> > + *
> > + * * MT_FLAGS_ALLOC_RANGE - Track gaps in this tree
> > + * * MT_FLAGS_USE_RCU - Operate in RCU mode
> > + * * MT_FLAGS_HEIGHT_OFFSET - The position of the tree height in the flags
> > + * * MT_FLAGS_HEIGHT_MASK - The mask for the maple tree height value
> > + * * MT_FLAGS_LOCK_MASK - How the mt_lock is used
> > + * * MT_FLAGS_LOCK_IRQ - Acquired irq-safe
> > + * * MT_FLAGS_LOCK_BH - Acquired bh-safe
> > + * * MT_FLAGS_LOCK_EXTERN - mt_lock is not used
> > + *
> > + * MAPLE_HEIGHT_MAX The largest height that can be stored
> > + */
> > +#define MT_FLAGS_ALLOC_RANGE 0x01
> > +#define MT_FLAGS_USE_RCU 0x02
> > +#define MT_FLAGS_HEIGHT_OFFSET 0x02
> > +#define MT_FLAGS_HEIGHT_MASK 0x7C
>
> Is extra alignment here intentional?

No, I will fix it.

>
> > +#define MT_FLAGS_LOCK_MASK 0x300
> > +#define MT_FLAGS_LOCK_IRQ 0x100
> > +#define MT_FLAGS_LOCK_BH 0x200
> > +#define MT_FLAGS_LOCK_EXTERN 0x300
>
> ...
>
> > +/*
> > + * More complicated stores can cause two nodes to become one or tree and
>
> ^ three?

Yes, perhaps I typed my accent here :)

>
> > + * potentially alter the height of the tree. Either half of the tree may need
> > + * to be rebalanced against the other. The ma_topiary struct is used to track
> > + * which nodes have been 'cut' from the tree so that the change can be done
> > + * safely at a later date. This is done to support RCU.
> > + */
> > +struct ma_topiary {
> > + struct maple_enode *head;
> > + struct maple_enode *tail;
> > + struct maple_tree *mtree;
> > +};
>
> ...
>
> > +/* Advanced API */
> > +
> > +/*
> > + * The maple state is defined in the struct ma_state and is used to keep track
> > + * of information during operations, and even between operations when using the
> > + * advanced API.
> > + *
> > + * If state->node has bit 0 set then it references a tree location which is not
> > + * a node (eg the root). If bit 1 is set, the rest of the bits are a negative
> > + * errno. Bit 2 (the 'unallocated slots' bit) is clear. Bits 3-6 indicate the
> > + * node type.
> > + *
> > + * state->alloc either has a request number of nodes or an allocated node. If
> > + * stat->alloc has a requested number of nodes, the first bit will be set (0x1)
> > + * and the remaining bits are the value. If state->alloc is a node, then the
> > + * node will be of type maple_alloc. maple_alloc has MAPLE_NODE_SLOTS - 1 for
> > + * storing more allocated nodes, a total, and the node_count in this node.
> > + * total is the number of nodes allocated. node_count is the number of
>
> Maybe merge "total is the number of nodes allocated" with "a total":
>
> ... allocated nodes, total number of nodes allocated, and the node_count...

That would probably read better. Thanks.

>
> > + * allocated nodes in this node. The scaling beyond MAPLE_NODE_SLOTS - 1 is
> > + * handled by storing further nodes into state->alloc->slot[0]'s node. Nodes
> > + * are taken from state->alloc by removing a node from the state->alloc node
> > + * until state->alloc->node_count is 1, when state->alloc is returned and the
> > + * state->alloc->slot[0] is promoted to state->alloc. Nodes are pushed onto
> > + * state->alloc by putting the current state->alloc into the pushed node's
> > + * slot[0].
> > + *
> > + * The state also contains the implied min/max of the state->node, the depth of
> > + * this search, and the offset. The implied min/max are either from the parent
> > + * node or are 0-oo for the root node. The depth is incremented or decremented
> > + * every time a node is walked down or up. The offset is the slot/pivot of
> > + * interest in the node - either for reading or writing.
> > + *
> > + * When returning a value the maple state index and last respectively contain
> > + * the start and end of the range for the entry. Ranges are inclusive in the
> > + * Maple Tree.
> > + */
> > +struct ma_state {
> > + struct maple_tree *tree; /* The tree we're operating in */
> > + unsigned long index; /* The index we're operating on - range start */
> > + unsigned long last; /* The last index we're operating on - range end */
> > + struct maple_enode *node; /* The node containing this entry */
> > + unsigned long min; /* The minimum index of this node - implied pivot min */
> > + unsigned long max; /* The maximum index of this node - implied pivot max */
> > + struct maple_alloc *alloc; /* Allocated nodes for this operation */
> > + unsigned char depth; /* depth of tree descent during write */
> > + unsigned char offset;
> > + unsigned char mas_flags;
> > +};
>
> ...
>
> > +/**
> > + * mt_for_each - Searches for an entry starting at index until max.
>
> Isn't it an iterator?

Yes, thanks. Not sure how that happened.

>
> > + * @tree: The Maple Tree
> > + * @entry: The current entry
> > + * @index: The index to update to track the location in the tree
> > + * @max: The maximum limit for @index
> > + *
> > + * Note: Will not return the zero entry.
> > + */
> > +#define mt_for_each(tree, entry, index, max) \
> > + for (entry = mt_find(tree, &index, max); \
> > + entry; entry = mt_find_after(tree, &index, max))
> > +
> > +
>
> ...
>
> > diff --git a/lib/maple_tree.c b/lib/maple_tree.c
> > new file mode 100644
> > index 000000000000..6a57745319ba
> > --- /dev/null
> > +++ b/lib/maple_tree.c
> > @@ -0,0 +1,6943 @@
> > +// SPDX-License-Identifier: GPL-2.0+
> > +/*
> > + * Maple Tree implementation
> > + * Copyright (c) 2018 Oracle Corporation
> > + * Authors: Liam R. Howlett <Liam.Howlett@xxxxxxxxxx>
> > + * Matthew Wilcox <willy@xxxxxxxxxxxxx>
> > + */
> > +
> > +/*
> > + * Interesting implementation details of the Maple Tree
>
> DOC:?

Sure.

>
> > + *
> > + * Each node type has a number of slots for entries and a number of slots for
> > + * pivots. In the case of dense nodes, the pivots are implied by the position
> > + * and are simply the slot index + the minimum of the node.
> > + *
> > + * In regular B-Tree terms, pivots are called keys. The term pivot is used to
> > + * indicate that the tree is specifying ranges, Pivots may appear in the
> > + * subtree with an entry attached to the value where as keys are unique to a
> > + * specific position of a B-tree. Pivot values are inclusive of the slot with
> > + * the same index.
> > + *
> > + *
> > + * The following illustrates the layout of a range64 nodes slots and pivots.
> > + *
> > + *
> > + * Slots -> | 0 | 1 | 2 | ... | 12 | 13 | 14 | 15 |
> > + * ┬ ┬ ┬ ┬ ┬ ┬ ┬ ┬ ┬
> > + * │ │ │ │ │ │ │ │ └─ Implied maximum
> > + * │ │ │ │ │ │ │ └─ Pivot 14
> > + * │ │ │ │ │ │ └─ Pivot 13
> > + * │ │ │ │ │ └─ Pivot 12
> > + * │ │ │ │ └─ Pivot 11
> > + * │ │ │ └─ Pivot 2
> > + * │ │ └─ Pivot 1
> > + * │ └─ Pivot 0
> > + * └─ Implied minimum
> > + *
> > + * Slot contents:
> > + * Internal (non-leaf) nodes contain pointers to other nodes.
> > + * Leaf nodes contain entries.
> > + *
> > + * The location of interest is often referred to as an offset. All offsets have
> > + * a slot, but the last offset has an implied pivot from the node above (or
> > + * UINT_MAX for the root node.
> > + *
> > + * Ranges complicate certain write activities. When modifying any of
> > + * the B-tree variants, it is known that one entry will either be added or
> > + * deleted. When modifying the Maple Tree, one store operation may overwrite
> > + * the entire data set, or one half of the tree, or the middle half of the tree.
> > + *
> > + */
>
> ...
>
> > +/* Interface */
> > +
> > +/**
> > + * mas_store() - Store an @entry.
> > + * @mas: The maple state.
> > + * @entry: The entry to store.
> > + *
> > + * The @mas->index and @mas->last is used to set the range for the @entry.
> > + * Note: The @mas should have pre-allocated entries to ensure there is memory to
> > + * store the entry. Please see mas_expected_entries()/mas_destroy() for more details.
>
> Return: ?

I will add it.

>
> > + */
> > +void *mas_store(struct ma_state *mas, void *entry)
> > +{
> > + MA_WR_STATE(wr_mas, mas, entry);
> > +
> > + trace_ma_write(__func__, mas, 0, entry);
> > +#ifdef CONFIG_DEBUG_MAPLE_TREE
> > + if (mas->index > mas->last)
> > + printk("Error %lu > %lu %p\n", mas->index, mas->last, entry);
> > + MT_BUG_ON(mas->tree, mas->index > mas->last);
> > + if (mas->index > mas->last) {
> > + mas_set_err(mas, -EINVAL);
> > + return NULL;
> > + }
> > +
> > +#endif
> > +
> > +/*
> > + * Storing is the same operation as insert with the added caveat that it can
> > + * overwrite entries. Although this seems simple enough, one may want to
> > + * examine what happens if a single store operation was to overwrite multiple
> > + * entries within a self-balancing B-Tree.
> > + */
> > + mas_wr_store_setup(&wr_mas);
> > + mas_wr_store_entry(&wr_mas);
> > + return wr_mas.content;
> > +}
>
> ...
>
> > +/**
> > + * mt_next() - get the next value in the maple tree
> > + * @mt: The maple tree
> > + * @index: The start index
> > + * @max: The maximum index to check
> > + *
> > + * Returns: The entry at @index or higher, or %NULL if nothing is found.
>
> Please s/Returns/Return/

I've fixed this before too. Thanks for catching it.

>
> > + */
> > +void *mt_next(struct maple_tree *mt, unsigned long index, unsigned long max)
> > +{
> > + void *entry = NULL;
> > + MA_STATE(mas, mt, index, index);
> > +
> > + rcu_read_lock();
> > + entry = mas_next(&mas, max);
> > + rcu_read_unlock();
> > + return entry;
> > +}
> > +EXPORT_SYMBOL_GPL(mt_next);
>
> ...
>
> > +/*
>
> kernel-doc?

Thanks

>
> > + * mas_find: If mas->node == MAS_START, find the first
> > + * non-NULL entry >= mas->index.
> > + * Otherwise, find the first non-NULL entry > mas->index
>
> although this might render not nicely in html...

I will spell it out and check the generated html.

>
> > + * @mas: The maple state
> > + * @max: The maximum value to check.
> > + *
> > + * Must hold rcu_read_lock or the write lock.
> > + * If an entry exists, last and index are updated accordingly.
> > + * May set @mas->node to MAS_NONE.
> > + *
> > + * Return: The entry or %NULL.
> > + */
> > +void *mas_find(struct ma_state *mas, unsigned long max)
> > +{
> > + if (unlikely(mas_is_paused(mas))) {
> > + if (unlikely(mas->last == ULONG_MAX)) {
> > + mas->node = MAS_NONE;
> > + return NULL;
> > + }
> > + mas->node = MAS_START;
> > + mas->index = ++mas->last;
> > + }
> > +
> > + if (unlikely(mas_is_start(mas))) {
> > + /* First run or continue */
> > + void *entry;
> > +
> > + if (mas->index > max)
> > + return NULL;
> > +
> > + entry = mas_walk(mas);
> > + if (entry)
> > + return entry;
> > + }
> > +
> > + if (unlikely(!mas_searchable(mas)))
> > + return NULL;
> > +
> > + /* Retries on dead nodes handled by mas_next_entry */
> > + return mas_next_entry(mas, max);
> > +}
> > +
> > +/**
> > + * mas_find: If mas->node == MAS_START, find the first
>
> mas_find_rev

Thanks.

>
> > + * non-NULL entry <= mas->last.
> > + * Otherwise, find the first non-NULL entry < mas->index
>
> So does this look Ok in html? ;-)

I'll check and fix this.

>
> > + * @mas: The maple state
> > + * @min: The minimum value to check.
> > + *
> > + * Must hold rcu_read_lock or the write lock.
> > + * If an entry exists, last and index are updated accordingly.
> > + * May set @mas->node to MAS_NONE.
> > + *
> > + * Return: The entry or %NULL.
> > + */void *mas_find_rev(struct ma_state *mas, unsigned long min)
> > +{
> > + if (unlikely(mas_is_paused(mas))) {
> > + if (unlikely(mas->last == ULONG_MAX)) {
> > + mas->node = MAS_NONE;
> > + return NULL;
> > + }
> > + mas->node = MAS_START;
> > + mas->last = --mas->index;
> > + }
> > +
> > + if (unlikely(mas_is_start(mas))) {
> > + /* First run or continue */
> > + void *entry;
> > +
> > + if (mas->index < min)
> > + return NULL;
> > +
> > + entry = mas_walk(mas);
> > + if (entry)
> > + return entry;
> > + }
> > +
> > + if (unlikely(!mas_searchable(mas)))
> > + return NULL;
> > +
> > + /* Retries on dead nodes handled by mas_next_entry */
> > + return mas_prev_entry(mas, min);
> > +}
> > +EXPORT_SYMBOL_GPL(mas_find);
> > +
> > +/**
> > + * mas_erase() - Find the range in which index resides and erase the entire
> > + * range.
> > + * @mas: The maple state
> > + *
> > + * Must hold the write lock.
> > + * Searches for @mas->index, sets @mas->index and @mas->last to the range and
> > + * erases that range.
> > + *
> > + * Return: the entry that was erased, @mas->index and @mas->last are updated.
>
> the entry that was erased or %NULL?

Thanks, yes.

>
> > + */
> > +void *mas_erase(struct ma_state *mas)
> > +{
> > + void *entry;
> > + MA_WR_STATE(wr_mas, mas, NULL);
> > +
> > + if (mas_is_none(mas) || mas_is_paused(mas))
> > + mas->node = MAS_START;
> > +
> > + /* Retry unnecessary when holding the write lock. */
> > + entry = mas_state_walk(mas);
> > + if (!entry)
> > + return NULL;
> > +
> > +write_retry:
> > + /* Must reset to ensure spanning writes of last slot are detected */
> > + mas_reset(mas);
> > + mas_wr_store_setup(&wr_mas);
> > + mas_wr_store_entry(&wr_mas);
> > + if (mas_nomem(mas, GFP_KERNEL))
> > + goto write_retry;
> > +
> > + return entry;
> > +}
> > +EXPORT_SYMBOL_GPL(mas_erase);
> > +
> > +/*
>
> kernel-doc?

There are no external users so I wasn't going to, but it won't hurt. I
mean, it could be used as a widget to allocate nodes if someone is
brave.

>
> > + * mas_nomem() - * Check if there was an error allocating and do the allocation
>
> ^ not needed.
> > + * if necessary If there are allocations, then free them.
>
> ^ period?
>
> > + * @mas: The maple state
> > + * @gfp: The GFP_FALGS to use for allocations
>
> Return:?

Thanks, it totally does too :)

>
> > + */
> > +bool mas_nomem(struct ma_state *mas, gfp_t gfp)
> > + __must_hold(mas->tree->lock)
> > +{
> > + if (likely(mas->node != MA_ERROR(-ENOMEM))) {
> > + mas_destroy(mas);
> > + return false;
> > + }
> > +
> > + if (gfpflags_allow_blocking(gfp) && !mt_external_lock(mas->tree)) {
> > + mtree_unlock(mas->tree);
> > + mas_alloc_nodes(mas, gfp);
> > + mtree_lock(mas->tree);
> > + } else {
> > + mas_alloc_nodes(mas, gfp);
> > + }
> > +
> > + if (!mas_allocated(mas))
> > + return false;
> > +
> > + mas->node = MAS_START;
> > + return true;
> > +}
> > +
> > +void __init maple_tree_init(void)
> > +{
> > + maple_node_cache = kmem_cache_create("maple_node",
> > + sizeof(struct maple_node), sizeof(struct maple_node),
> > + SLAB_PANIC, NULL);
> > +}
> > +
> > +/**
> > + * mtree_load() - Load a value stored in a maple tree
> > + * @mt: The maple tree
> > + * @index: The index to load
> > + *
> > + * Return: the entry of %NULL
>
> ^ or?

Thanks.

> > + */
> > +void *mtree_load(struct maple_tree *mt, unsigned long index)
> > +{
> > + MA_STATE(mas, mt, index, index);
> > + void *entry;
> > +
> > + trace_ma_read(__func__, &mas);
> > + rcu_read_lock();
> > +retry:
> > + entry = mas_start(&mas);
> > + if (unlikely(mas_is_none(&mas)))
> > + goto unlock;
> > +
> > + if (unlikely(mas_is_ptr(&mas))) {
> > + if (index)
> > + entry = NULL;
> > +
> > + goto unlock;
> > + }
> > +
> > + entry = mtree_lookup_walk(&mas);
> > + if (!entry && unlikely(mas_is_start(&mas)))
> > + goto retry;
> > +unlock:
> > + rcu_read_unlock();
> > + if (xa_is_zero(entry))
> > + return NULL;
> > +
> > + return entry;
> > +}
> > +EXPORT_SYMBOL(mtree_load);
>
> --
> Sincerely yours,
> Mike.