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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
        "http://www.w3.org/TR/html4/loose.dtd">
        <html>
        <head><title>A Tour Through TREE_RCU's Data Structures [LWN.net]</title>
        <meta HTTP-EQUIV="Content-Type" CONTENT="text/html; charset=iso-8859-1">
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           <p>December 18, 2016</p>
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           <p>This article was contributed by Paul E.&nbsp;McKenney</p>

<h3>Introduction</h3>

This document describes RCU's major data structures and their relationship
to each other.

<ol>
<li>	<a href="#Data-Structure Relationships">
	Data-Structure Relationships</a>
<li>	<a href="#The rcu_state Structure">
	The <tt>rcu_state</tt> Structure</a>
<li>	<a href="#The rcu_node Structure">
	The <tt>rcu_node</tt> Structure</a>
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<li>	<a href="#The rcu_segcblist Structure">
	The <tt>rcu_segcblist</tt> Structure</a>
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<li>	<a href="#The rcu_data Structure">
	The <tt>rcu_data</tt> Structure</a>
<li>	<a href="#The rcu_head Structure">
	The <tt>rcu_head</tt> Structure</a>
<li>	<a href="#RCU-Specific Fields in the task_struct Structure">
	RCU-Specific Fields in the <tt>task_struct</tt> Structure</a>
<li>	<a href="#Accessor Functions">
	Accessor Functions</a>
</ol>

<h3><a name="Data-Structure Relationships">Data-Structure Relationships</a></h3>

<p>RCU is for all intents and purposes a large state machine, and its
data structures maintain the state in such a way as to allow RCU readers
to execute extremely quickly, while also processing the RCU grace periods
requested by updaters in an efficient and extremely scalable fashion.
The efficiency and scalability of RCU updaters is provided primarily
by a combining tree, as shown below:

</p><p><img src="BigTreeClassicRCU.svg" alt="BigTreeClassicRCU.svg" width="30%">

</p><p>This diagram shows an enclosing <tt>rcu_state</tt> structure
containing a tree of <tt>rcu_node</tt> structures.
Each leaf node of the <tt>rcu_node</tt> tree has up to 16
<tt>rcu_data</tt> structures associated with it, so that there
are <tt>NR_CPUS</tt> number of <tt>rcu_data</tt> structures,
one for each possible CPU.
This structure is adjusted at boot time, if needed, to handle the
common case where <tt>nr_cpu_ids</tt> is much less than
<tt>NR_CPUs</tt>.
For example, a number of Linux distributions set <tt>NR_CPUs=4096</tt>,
which results in a three-level <tt>rcu_node</tt> tree.
If the actual hardware has only 16 CPUs, RCU will adjust itself
at boot time, resulting in an <tt>rcu_node</tt> tree with only a single node.

</p><p>The purpose of this combining tree is to allow per-CPU events
such as quiescent states, dyntick-idle transitions,
and CPU hotplug operations to be processed efficiently
and scalably.
Quiescent states are recorded by the per-CPU <tt>rcu_data</tt> structures,
and other events are recorded by the leaf-level <tt>rcu_node</tt>
structures.
All of these events are combined at each level of the tree until finally
grace periods are completed at the tree's root <tt>rcu_node</tt>
structure.
A grace period can be completed at the root once every CPU
(or, in the case of <tt>CONFIG_PREEMPT_RCU</tt>, task)
has passed through a quiescent state.
Once a grace period has completed, record of that fact is propagated
back down the tree.

</p><p>As can be seen from the diagram, on a 64-bit system
a two-level tree with 64 leaves can accommodate 1,024 CPUs, with a fanout
of 64 at the root and a fanout of 16 at the leaves.

<table>
<tr><th>&nbsp;</th></tr>
<tr><th align="left">Quick Quiz:</th></tr>
<tr><td>
	Why isn't the fanout at the leaves also 64?
</td></tr>
<tr><th align="left">Answer:</th></tr>
<tr><td bgcolor="#ffffff"><font color="ffffff">
	Because there are more types of events that affect the leaf-level
	<tt>rcu_node</tt> structures than further up the tree.
	Therefore, if the leaf <tt>rcu_node</tt> structures have fanout of
	64, the contention on these structures' <tt>-&gt;structures</tt>
	becomes excessive.
	Experimentation on a wide variety of systems has shown that a fanout
	of 16 works well for the leaves of the <tt>rcu_node</tt> tree.
	</font>

	<p><font color="ffffff">Of course, further experience with
	systems having hundreds or thousands of CPUs may demonstrate
	that the fanout for the non-leaf <tt>rcu_node</tt> structures
	must also be reduced.
	Such reduction can be easily carried out when and if it proves
	necessary.
	In the meantime, if you are using such a system and running into
	contention problems on the non-leaf <tt>rcu_node</tt> structures,
	you may use the <tt>CONFIG_RCU_FANOUT</tt> kernel configuration
	parameter to reduce the non-leaf fanout as needed.
	</font>

	<p><font color="ffffff">Kernels built for systems with
	strong NUMA characteristics might also need to adjust
	<tt>CONFIG_RCU_FANOUT</tt> so that the domains of the
	<tt>rcu_node</tt> structures align with hardware boundaries.
	However, there has thus far been no need for this.
</font></td></tr>
<tr><td>&nbsp;</td></tr>
</table>

<p>If your system has more than 1,024 CPUs (or more than 512 CPUs on
a 32-bit system), then RCU will automatically add more levels to the
tree.
For example, if you are crazy enough to build a 64-bit system with 65,536
CPUs, RCU would configure the <tt>rcu_node</tt> tree as follows:

</p><p><img src="HugeTreeClassicRCU.svg" alt="HugeTreeClassicRCU.svg" width="50%">

</p><p>RCU currently permits up to a four-level tree, which on a 64-bit system
accommodates up to 4,194,304 CPUs, though only a mere 524,288 CPUs for
32-bit systems.
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On the other hand, you can set both <tt>CONFIG_RCU_FANOUT</tt> and
<tt>CONFIG_RCU_FANOUT_LEAF</tt> to be as small as 2, which would result
in a 16-CPU test using a 4-level tree.
This can be useful for testing large-system capabilities on small test
machines.
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</p><p>This multi-level combining tree allows us to get most of the
performance and scalability
benefits of partitioning, even though RCU grace-period detection is
inherently a global operation.
The trick here is that only the last CPU to report a quiescent state
into a given <tt>rcu_node</tt> structure need advance to the <tt>rcu_node</tt>
structure at the next level up the tree.
This means that at the leaf-level <tt>rcu_node</tt> structure, only
one access out of sixteen will progress up the tree.
For the internal <tt>rcu_node</tt> structures, the situation is even
more extreme:  Only one access out of sixty-four will progress up
the tree.
Because the vast majority of the CPUs do not progress up the tree,
the lock contention remains roughly constant up the tree.
No matter how many CPUs there are in the system, at most 64 quiescent-state
reports per grace period will progress all the way to the root
<tt>rcu_node</tt> structure, thus ensuring that the lock contention
on that root <tt>rcu_node</tt> structure remains acceptably low.

</p><p>In effect, the combining tree acts like a big shock absorber,
keeping lock contention under control at all tree levels regardless
of the level of loading on the system.

</p><p>RCU updaters wait for normal grace periods by registering
RCU callbacks, either directly via <tt>call_rcu()</tt> and
friends (namely <tt>call_rcu_bh()</tt> and <tt>call_rcu_sched()</tt>),
or indirectly via <tt>synchronize_rcu()</tt> and friends.
RCU callbacks are represented by <tt>rcu_head</tt> structures,
which are queued on <tt>rcu_data</tt> structures while they are
waiting for a grace period to elapse, as shown in the following figure:

</p><p><img src="BigTreePreemptRCUBHdyntickCB.svg" alt="BigTreePreemptRCUBHdyntickCB.svg" width="40%">

</p><p>This figure shows how <tt>TREE_RCU</tt>'s and
<tt>PREEMPT_RCU</tt>'s major data structures are related.
Lesser data structures will be introduced with the algorithms that
make use of them.

</p><p>Note that each of the data structures in the above figure has
its own synchronization:

<p><ol>
<li>	Each <tt>rcu_state</tt> structures has a lock and a mutex,
	and some fields are protected by the corresponding root
	<tt>rcu_node</tt> structure's lock.
<li>	Each <tt>rcu_node</tt> structure has a spinlock.
<li>	The fields in <tt>rcu_data</tt> are private to the corresponding
	CPU, although a few can be read and written by other CPUs.
</ol>

<p>It is important to note that different data structures can have
very different ideas about the state of RCU at any given time.
For but one example, awareness of the start or end of a given RCU
grace period propagates slowly through the data structures.
This slow propagation is absolutely necessary for RCU to have good
read-side performance.
If this balkanized implementation seems foreign to you, one useful
trick is to consider each instance of these data structures to be
a different person, each having the usual slightly different
view of reality.

</p><p>The general role of each of these data structures is as
follows:

</p><ol>
<li>	<tt>rcu_state</tt>:
	This structure forms the interconnection between the
	<tt>rcu_node</tt> and <tt>rcu_data</tt> structures,
	tracks grace periods, serves as short-term repository
	for callbacks orphaned by CPU-hotplug events,
	maintains <tt>rcu_barrier()</tt> state,
	tracks expedited grace-period state,
	and maintains state used to force quiescent states when
	grace periods extend too long,
<li>	<tt>rcu_node</tt>: This structure forms the combining
	tree that propagates quiescent-state
	information from the leaves to the root, and also propagates
	grace-period information from the root to the leaves.
	It provides local copies of the grace-period state in order
	to allow this information to be accessed in a synchronized
	manner without suffering the scalability limitations that
	would otherwise be imposed by global locking.
	In <tt>CONFIG_PREEMPT_RCU</tt> kernels, it manages the lists
	of tasks that have blocked while in their current
	RCU read-side critical section.
	In <tt>CONFIG_PREEMPT_RCU</tt> with
	<tt>CONFIG_RCU_BOOST</tt>, it manages the
	per-<tt>rcu_node</tt> priority-boosting
	kernel threads (kthreads) and state.
	Finally, it records CPU-hotplug state in order to determine
	which CPUs should be ignored during a given grace period.
<li>	<tt>rcu_data</tt>: This per-CPU structure is the
	focus of quiescent-state detection and RCU callback queuing.
	It also tracks its relationship to the corresponding leaf
	<tt>rcu_node</tt> structure to allow more-efficient
	propagation of quiescent states up the <tt>rcu_node</tt>
	combining tree.
	Like the <tt>rcu_node</tt> structure, it provides a local
	copy of the grace-period information to allow for-free
	synchronized
	access to this information from the corresponding CPU.
	Finally, this structure records past dyntick-idle state
	for the corresponding CPU and also tracks statistics.
<li>	<tt>rcu_head</tt>:
	This structure represents RCU callbacks, and is the
	only structure allocated and managed by RCU users.
	The <tt>rcu_head</tt> structure is normally embedded
	within the RCU-protected data structure.
</ol>

<p>If all you wanted from this article was a general notion of how
RCU's data structures are related, you are done.
Otherwise, each of the following sections give more details on
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the <tt>rcu_state</tt>, <tt>rcu_node</tt> and <tt>rcu_data</tt> data
structures.
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<h3><a name="The rcu_state Structure">
The <tt>rcu_state</tt> Structure</a></h3>

<p>The <tt>rcu_state</tt> structure is the base structure that
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represents the state of RCU in the system.
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This structure forms the interconnection between the
<tt>rcu_node</tt> and <tt>rcu_data</tt> structures,
tracks grace periods, contains the lock used to
synchronize with CPU-hotplug events,
and maintains state used to force quiescent states when
grace periods extend too long,

</p><p>A few of the <tt>rcu_state</tt> structure's fields are discussed,
singly and in groups, in the following sections.
The more specialized fields are covered in the discussion of their
use.

<h5>Relationship to rcu_node and rcu_data Structures</h5>

This portion of the <tt>rcu_state</tt> structure is declared
as follows:

<pre>
  1   struct rcu_node node[NUM_RCU_NODES];
  2   struct rcu_node *level[NUM_RCU_LVLS + 1];
  3   struct rcu_data __percpu *rda;
</pre>

<table>
<tr><th>&nbsp;</th></tr>
<tr><th align="left">Quick Quiz:</th></tr>
<tr><td>
	Wait a minute!
	You said that the <tt>rcu_node</tt> structures formed a tree,
	but they are declared as a flat array!
	What gives?
</td></tr>
<tr><th align="left">Answer:</th></tr>
<tr><td bgcolor="#ffffff"><font color="ffffff">
	The tree is laid out in the array.
	The first node In the array is the head, the next set of nodes in the
	array are children of the head node, and so on until the last set of
	nodes in the array are the leaves.
	</font>

	<p><font color="ffffff">See the following diagrams to see how
	this works.
</font></td></tr>
<tr><td>&nbsp;</td></tr>
</table>

<p>The <tt>rcu_node</tt> tree is embedded into the
<tt>-&gt;node[]</tt> array as shown in the following figure:

</p><p><img src="TreeMapping.svg" alt="TreeMapping.svg" width="40%">

</p><p>One interesting consequence of this mapping is that a
breadth-first traversal of the tree is implemented as a simple
linear scan of the array, which is in fact what the
<tt>rcu_for_each_node_breadth_first()</tt> macro does.
This macro is used at the beginning and ends of grace periods.

</p><p>Each entry of the <tt>-&gt;level</tt> array references
the first <tt>rcu_node</tt> structure on the corresponding level
of the tree, for example, as shown below:

</p><p><img src="TreeMappingLevel.svg" alt="TreeMappingLevel.svg" width="40%">

</p><p>The zero<sup>th</sup> element of the array references the root
<tt>rcu_node</tt> structure, the first element references the
first child of the root <tt>rcu_node</tt>, and finally the second
element references the first leaf <tt>rcu_node</tt> structure.

</p><p>For whatever it is worth, if you draw the tree to be tree-shaped
rather than array-shaped, it is easy to draw a planar representation:

</p><p><img src="TreeLevel.svg" alt="TreeLevel.svg" width="60%">

</p><p>Finally, the <tt>-&gt;rda</tt> field references a per-CPU
pointer to the corresponding CPU's <tt>rcu_data</tt> structure.

</p><p>All of these fields are constant once initialization is complete,
and therefore need no protection.

<h5>Grace-Period Tracking</h5>

<p>This portion of the <tt>rcu_state</tt> structure is declared
as follows:

<pre>
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  1   unsigned long gp_seq;
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</pre>

<p>RCU grace periods are numbered, and
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the <tt>-&gt;gp_seq</tt> field contains the current grace-period
sequence number.
The bottom two bits are the state of the current grace period,
which can be zero for not yet started or one for in progress.
In other words, if the bottom two bits of <tt>-&gt;gp_seq</tt> are
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zero, then RCU is idle.
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Any other value in the bottom two bits indicates that something is broken.
This field is protected by the root <tt>rcu_node</tt> structure's
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<tt>-&gt;lock</tt> field.
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</p><p>There are <tt>-&gt;gp_seq</tt> fields
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in the <tt>rcu_node</tt> and <tt>rcu_data</tt> structures
as well.
The fields in the <tt>rcu_state</tt> structure represent the
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most current value, and those of the other structures are compared
in order to detect the beginnings and ends of grace periods in a distributed
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fashion.
The values flow from <tt>rcu_state</tt> to <tt>rcu_node</tt>
(down the tree from the root to the leaves) to <tt>rcu_data</tt>.

<h5>Miscellaneous</h5>

<p>This portion of the <tt>rcu_state</tt> structure is declared
as follows:

<pre>
  1   unsigned long gp_max;
  2   char abbr;
  3   char *name;
</pre>

<p>The <tt>-&gt;gp_max</tt> field tracks the duration of the longest
grace period in jiffies.
It is protected by the root <tt>rcu_node</tt>'s <tt>-&gt;lock</tt>.
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<p>The <tt>-&gt;name</tt> and <tt>-&gt;abbr</tt> fields distinguish
between preemptible RCU (&ldquo;rcu_preempt&rdquo; and &ldquo;p&rdquo;)
and non-preemptible RCU (&ldquo;rcu_sched&rdquo; and &ldquo;s&rdquo;).
These fields are used for diagnostic and tracing purposes.
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<h3><a name="The rcu_node Structure">
The <tt>rcu_node</tt> Structure</a></h3>

<p>The <tt>rcu_node</tt> structures form the combining
tree that propagates quiescent-state
information from the leaves to the root and also that propagates
grace-period information from the root down to the leaves.
They provides local copies of the grace-period state in order
to allow this information to be accessed in a synchronized
manner without suffering the scalability limitations that
would otherwise be imposed by global locking.
In <tt>CONFIG_PREEMPT_RCU</tt> kernels, they manage the lists
of tasks that have blocked while in their current
RCU read-side critical section.
In <tt>CONFIG_PREEMPT_RCU</tt> with
<tt>CONFIG_RCU_BOOST</tt>, they manage the
per-<tt>rcu_node</tt> priority-boosting
kernel threads (kthreads) and state.
Finally, they record CPU-hotplug state in order to determine
which CPUs should be ignored during a given grace period.

</p><p>The <tt>rcu_node</tt> structure's fields are discussed,
singly and in groups, in the following sections.

<h5>Connection to Combining Tree</h5>

<p>This portion of the <tt>rcu_node</tt> structure is declared
as follows:

<pre>
  1   struct rcu_node *parent;
  2   u8 level;
  3   u8 grpnum;
  4   unsigned long grpmask;
  5   int grplo;
  6   int grphi;
</pre>

<p>The <tt>-&gt;parent</tt> pointer references the <tt>rcu_node</tt>
one level up in the tree, and is <tt>NULL</tt> for the root
<tt>rcu_node</tt>.
The RCU implementation makes heavy use of this field to push quiescent
states up the tree.
The <tt>-&gt;level</tt> field gives the level in the tree, with
the root being at level zero, its children at level one, and so on.
The <tt>-&gt;grpnum</tt> field gives this node's position within
the children of its parent, so this number can range between 0 and 31
on 32-bit systems and between 0 and 63 on 64-bit systems.
The <tt>-&gt;level</tt> and <tt>-&gt;grpnum</tt> fields are
used only during initialization and for tracing.
The <tt>-&gt;grpmask</tt> field is the bitmask counterpart of
<tt>-&gt;grpnum</tt>, and therefore always has exactly one bit set.
This mask is used to clear the bit corresponding to this <tt>rcu_node</tt>
structure in its parent's bitmasks, which are described later.
Finally, the <tt>-&gt;grplo</tt> and <tt>-&gt;grphi</tt> fields
contain the lowest and highest numbered CPU served by this
<tt>rcu_node</tt> structure, respectively.

</p><p>All of these fields are constant, and thus do not require any
synchronization.

<h5>Synchronization</h5>

<p>This field of the <tt>rcu_node</tt> structure is declared
as follows:

<pre>
  1   raw_spinlock_t lock;
</pre>

<p>This field is used to protect the remaining fields in this structure,
unless otherwise stated.
That said, all of the fields in this structure can be accessed without
locking for tracing purposes.
Yes, this can result in confusing traces, but better some tracing confusion
than to be heisenbugged out of existence.

<h5>Grace-Period Tracking</h5>

<p>This portion of the <tt>rcu_node</tt> structure is declared
as follows:

<pre>
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  1   unsigned long gp_seq;
  2   unsigned long gp_seq_needed;
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</pre>
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<p>The <tt>rcu_node</tt> structures' <tt>-&gt;gp_seq</tt> fields are
the counterparts of the field of the same name in the <tt>rcu_state</tt>
structure.
They each may lag up to one step behind their <tt>rcu_state</tt>
counterpart.
If the bottom two bits of a given <tt>rcu_node</tt> structure's
<tt>-&gt;gp_seq</tt> field is zero, then this <tt>rcu_node</tt>
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structure believes that RCU is idle.
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</p><p>The <tt>&gt;gp_seq</tt> field of each <tt>rcu_node</tt>
structure is updated at the beginning and the end
of each grace period.

<p>The <tt>-&gt;gp_seq_needed</tt> fields record the
furthest-in-the-future grace period request seen by the corresponding
<tt>rcu_node</tt> structure.  The request is considered fulfilled when
the value of the <tt>-&gt;gp_seq</tt> field equals or exceeds that of
the <tt>-&gt;gp_seq_needed</tt> field.
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<table>
<tr><th>&nbsp;</th></tr>
<tr><th align="left">Quick Quiz:</th></tr>
<tr><td>
	Suppose that this <tt>rcu_node</tt> structure doesn't see
	a request for a very long time.
	Won't wrapping of the <tt>-&gt;gp_seq</tt> field cause
	problems?
</td></tr>
<tr><th align="left">Answer:</th></tr>
<tr><td bgcolor="#ffffff"><font color="ffffff">
	No, because if the <tt>-&gt;gp_seq_needed</tt> field lags behind the
	<tt>-&gt;gp_seq</tt> field, the <tt>-&gt;gp_seq_needed</tt> field
	will be updated at the end of the grace period.
	Modulo-arithmetic comparisons therefore will always get the
	correct answer, even with wrapping.
</font></td></tr>
<tr><td>&nbsp;</td></tr>
</table>
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<h5>Quiescent-State Tracking</h5>

<p>These fields manage the propagation of quiescent states up the
combining tree.

</p><p>This portion of the <tt>rcu_node</tt> structure has fields
as follows:

<pre>
  1   unsigned long qsmask;
  2   unsigned long expmask;
  3   unsigned long qsmaskinit;
  4   unsigned long expmaskinit;
</pre>

<p>The <tt>-&gt;qsmask</tt> field tracks which of this
<tt>rcu_node</tt> structure's children still need to report
quiescent states for the current normal grace period.
Such children will have a value of 1 in their corresponding bit.
Note that the leaf <tt>rcu_node</tt> structures should be
thought of as having <tt>rcu_data</tt> structures as their
children.
Similarly, the <tt>-&gt;expmask</tt> field tracks which
of this <tt>rcu_node</tt> structure's children still need to report
quiescent states for the current expedited grace period.
An expedited grace period has
the same conceptual properties as a normal grace period, but the
expedited implementation accepts extreme CPU overhead to obtain
much lower grace-period latency, for example, consuming a few
tens of microseconds worth of CPU time to reduce grace-period
duration from milliseconds to tens of microseconds.
The <tt>-&gt;qsmaskinit</tt> field tracks which of this
<tt>rcu_node</tt> structure's children cover for at least
one online CPU.
This mask is used to initialize <tt>-&gt;qsmask</tt>,
and <tt>-&gt;expmaskinit</tt> is used to initialize
<tt>-&gt;expmask</tt> and the beginning of the
normal and expedited grace periods, respectively.

<table>
<tr><th>&nbsp;</th></tr>
<tr><th align="left">Quick Quiz:</th></tr>
<tr><td>
	Why are these bitmasks protected by locking?
	Come on, haven't you heard of atomic instructions???
</td></tr>
<tr><th align="left">Answer:</th></tr>
<tr><td bgcolor="#ffffff"><font color="ffffff">
	Lockless grace-period computation!  Such a tantalizing possibility!
	</font>

	<p><font color="ffffff">But consider the following sequence of events:
	</font>

	<ol>
	<li>	<font color="ffffff">CPU&nbsp;0 has been in dyntick-idle
		mode for quite some time.
		When it wakes up, it notices that the current RCU
		grace period needs it to report in, so it sets a
		flag where the scheduling clock interrupt will find it.
		</font><p>
	<li>	<font color="ffffff">Meanwhile, CPU&nbsp;1 is running
		<tt>force_quiescent_state()</tt>,
		and notices that CPU&nbsp;0 has been in dyntick idle mode,
		which qualifies as an extended quiescent state.
		</font><p>
	<li>	<font color="ffffff">CPU&nbsp;0's scheduling clock
		interrupt fires in the
		middle of an RCU read-side critical section, and notices
		that the RCU core needs something, so commences RCU softirq
		processing.
		</font>
		<p>
	<li>	<font color="ffffff">CPU&nbsp;0's softirq handler
		executes and is just about ready
		to report its quiescent state up the <tt>rcu_node</tt>
		tree.
		</font><p>
	<li>	<font color="ffffff">But CPU&nbsp;1 beats it to the punch,
		completing the current
		grace period and starting a new one.
		</font><p>
	<li>	<font color="ffffff">CPU&nbsp;0 now reports its quiescent
		state for the wrong
		grace period.
		That grace period might now end before the RCU read-side
		critical section.
		If that happens, disaster will ensue.
		</font>
	</ol>

	<p><font color="ffffff">So the locking is absolutely required in
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	order to coordinate clearing of the bits with updating of the
	grace-period sequence number in <tt>-&gt;gp_seq</tt>.
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</font></td></tr>
<tr><td>&nbsp;</td></tr>
</table>

<h5>Blocked-Task Management</h5>

<p><tt>PREEMPT_RCU</tt> allows tasks to be preempted in the
midst of their RCU read-side critical sections, and these tasks
must be tracked explicitly.
The details of exactly why and how they are tracked will be covered
in a separate article on RCU read-side processing.
For now, it is enough to know that the <tt>rcu_node</tt>
structure tracks them.

<pre>
  1   struct list_head blkd_tasks;
  2   struct list_head *gp_tasks;
  3   struct list_head *exp_tasks;
  4   bool wait_blkd_tasks;
</pre>

<p>The <tt>-&gt;blkd_tasks</tt> field is a list header for
the list of blocked and preempted tasks.
As tasks undergo context switches within RCU read-side critical
sections, their <tt>task_struct</tt> structures are enqueued
(via the <tt>task_struct</tt>'s <tt>-&gt;rcu_node_entry</tt>
field) onto the head of the <tt>-&gt;blkd_tasks</tt> list for the
leaf <tt>rcu_node</tt> structure corresponding to the CPU
on which the outgoing context switch executed.
As these tasks later exit their RCU read-side critical sections,
they remove themselves from the list.
This list is therefore in reverse time order, so that if one of the tasks
is blocking the current grace period, all subsequent tasks must
also be blocking that same grace period.
Therefore, a single pointer into this list suffices to track
all tasks blocking a given grace period.
That pointer is stored in <tt>-&gt;gp_tasks</tt> for normal
grace periods and in <tt>-&gt;exp_tasks</tt> for expedited
grace periods.
These last two fields are <tt>NULL</tt> if either there is
no grace period in flight or if there are no blocked tasks
preventing that grace period from completing.
If either of these two pointers is referencing a task that
removes itself from the <tt>-&gt;blkd_tasks</tt> list,
then that task must advance the pointer to the next task on
the list, or set the pointer to <tt>NULL</tt> if there
are no subsequent tasks on the list.

</p><p>For example, suppose that tasks&nbsp;T1, T2, and&nbsp;T3 are
all hard-affinitied to the largest-numbered CPU in the system.
Then if task&nbsp;T1 blocked in an RCU read-side
critical section, then an expedited grace period started,
then task&nbsp;T2 blocked in an RCU read-side critical section,
then a normal grace period started, and finally task&nbsp;3 blocked
in an RCU read-side critical section, then the state of the
last leaf <tt>rcu_node</tt> structure's blocked-task list
would be as shown below:

</p><p><img src="blkd_task.svg" alt="blkd_task.svg" width="60%">

</p><p>Task&nbsp;T1 is blocking both grace periods, task&nbsp;T2 is
blocking only the normal grace period, and task&nbsp;T3 is blocking
neither grace period.
Note that these tasks will not remove themselves from this list
immediately upon resuming execution.
They will instead remain on the list until they execute the outermost
<tt>rcu_read_unlock()</tt> that ends their RCU read-side critical
section.

<p>
The <tt>-&gt;wait_blkd_tasks</tt> field indicates whether or not
the current grace period is waiting on a blocked task.

<h5>Sizing the <tt>rcu_node</tt> Array</h5>

<p>The <tt>rcu_node</tt> array is sized via a series of
C-preprocessor expressions as follows:

<pre>
 1 #ifdef CONFIG_RCU_FANOUT
 2 #define RCU_FANOUT CONFIG_RCU_FANOUT
 3 #else
 4 # ifdef CONFIG_64BIT
 5 # define RCU_FANOUT 64
 6 # else
 7 # define RCU_FANOUT 32
 8 # endif
 9 #endif
10
11 #ifdef CONFIG_RCU_FANOUT_LEAF
12 #define RCU_FANOUT_LEAF CONFIG_RCU_FANOUT_LEAF
13 #else
14 # ifdef CONFIG_64BIT
15 # define RCU_FANOUT_LEAF 64
16 # else
17 # define RCU_FANOUT_LEAF 32
18 # endif
19 #endif
20
21 #define RCU_FANOUT_1        (RCU_FANOUT_LEAF)
22 #define RCU_FANOUT_2        (RCU_FANOUT_1 * RCU_FANOUT)
23 #define RCU_FANOUT_3        (RCU_FANOUT_2 * RCU_FANOUT)
24 #define RCU_FANOUT_4        (RCU_FANOUT_3 * RCU_FANOUT)
25
26 #if NR_CPUS &lt;= RCU_FANOUT_1
27 #  define RCU_NUM_LVLS        1
28 #  define NUM_RCU_LVL_0        1
29 #  define NUM_RCU_NODES        NUM_RCU_LVL_0
30 #  define NUM_RCU_LVL_INIT    { NUM_RCU_LVL_0 }
31 #  define RCU_NODE_NAME_INIT  { "rcu_node_0" }
32 #  define RCU_FQS_NAME_INIT   { "rcu_node_fqs_0" }
33 #  define RCU_EXP_NAME_INIT   { "rcu_node_exp_0" }
34 #elif NR_CPUS &lt;= RCU_FANOUT_2
35 #  define RCU_NUM_LVLS        2
36 #  define NUM_RCU_LVL_0        1
37 #  define NUM_RCU_LVL_1        DIV_ROUND_UP(NR_CPUS, RCU_FANOUT_1)
38 #  define NUM_RCU_NODES        (NUM_RCU_LVL_0 + NUM_RCU_LVL_1)
39 #  define NUM_RCU_LVL_INIT    { NUM_RCU_LVL_0, NUM_RCU_LVL_1 }
40 #  define RCU_NODE_NAME_INIT  { "rcu_node_0", "rcu_node_1" }
41 #  define RCU_FQS_NAME_INIT   { "rcu_node_fqs_0", "rcu_node_fqs_1" }
42 #  define RCU_EXP_NAME_INIT   { "rcu_node_exp_0", "rcu_node_exp_1" }
43 #elif NR_CPUS &lt;= RCU_FANOUT_3
44 #  define RCU_NUM_LVLS        3
45 #  define NUM_RCU_LVL_0        1
46 #  define NUM_RCU_LVL_1        DIV_ROUND_UP(NR_CPUS, RCU_FANOUT_2)
47 #  define NUM_RCU_LVL_2        DIV_ROUND_UP(NR_CPUS, RCU_FANOUT_1)
48 #  define NUM_RCU_NODES        (NUM_RCU_LVL_0 + NUM_RCU_LVL_1 + NUM_RCU_LVL_2)
49 #  define NUM_RCU_LVL_INIT    { NUM_RCU_LVL_0, NUM_RCU_LVL_1, NUM_RCU_LVL_2 }
50 #  define RCU_NODE_NAME_INIT  { "rcu_node_0", "rcu_node_1", "rcu_node_2" }
51 #  define RCU_FQS_NAME_INIT   { "rcu_node_fqs_0", "rcu_node_fqs_1", "rcu_node_fqs_2" }
52 #  define RCU_EXP_NAME_INIT   { "rcu_node_exp_0", "rcu_node_exp_1", "rcu_node_exp_2" }
53 #elif NR_CPUS &lt;= RCU_FANOUT_4
54 #  define RCU_NUM_LVLS        4
55 #  define NUM_RCU_LVL_0        1
56 #  define NUM_RCU_LVL_1        DIV_ROUND_UP(NR_CPUS, RCU_FANOUT_3)
57 #  define NUM_RCU_LVL_2        DIV_ROUND_UP(NR_CPUS, RCU_FANOUT_2)
58 #  define NUM_RCU_LVL_3        DIV_ROUND_UP(NR_CPUS, RCU_FANOUT_1)
59 #  define NUM_RCU_NODES        (NUM_RCU_LVL_0 + NUM_RCU_LVL_1 + NUM_RCU_LVL_2 + NUM_RCU_LVL_3)
60 #  define NUM_RCU_LVL_INIT    { NUM_RCU_LVL_0, NUM_RCU_LVL_1, NUM_RCU_LVL_2, NUM_RCU_LVL_3 }
61 #  define RCU_NODE_NAME_INIT  { "rcu_node_0", "rcu_node_1", "rcu_node_2", "rcu_node_3" }
62 #  define RCU_FQS_NAME_INIT   { "rcu_node_fqs_0", "rcu_node_fqs_1", "rcu_node_fqs_2", "rcu_node_fqs_3" }
63 #  define RCU_EXP_NAME_INIT   { "rcu_node_exp_0", "rcu_node_exp_1", "rcu_node_exp_2", "rcu_node_exp_3" }
64 #else
65 # error "CONFIG_RCU_FANOUT insufficient for NR_CPUS"
66 #endif
</pre>

<p>The maximum number of levels in the <tt>rcu_node</tt> structure
is currently limited to four, as specified by lines&nbsp;21-24
and the structure of the subsequent &ldquo;if&rdquo; statement.
For 32-bit systems, this allows 16*32*32*32=524,288 CPUs, which
should be sufficient for the next few years at least.
For 64-bit systems, 16*64*64*64=4,194,304 CPUs is allowed, which
should see us through the next decade or so.
This four-level tree also allows kernels built with
<tt>CONFIG_RCU_FANOUT=8</tt> to support up to 4096 CPUs,
which might be useful in very large systems having eight CPUs per
socket (but please note that no one has yet shown any measurable
performance degradation due to misaligned socket and <tt>rcu_node</tt>
boundaries).
In addition, building kernels with a full four levels of <tt>rcu_node</tt>
tree permits better testing of RCU's combining-tree code.

</p><p>The <tt>RCU_FANOUT</tt> symbol controls how many children
are permitted at each non-leaf level of the <tt>rcu_node</tt> tree.
If the <tt>CONFIG_RCU_FANOUT</tt> Kconfig option is not specified,
it is set based on the word size of the system, which is also
the Kconfig default.

</p><p>The <tt>RCU_FANOUT_LEAF</tt> symbol controls how many CPUs are
handled by each leaf <tt>rcu_node</tt> structure.
Experience has shown that allowing a given leaf <tt>rcu_node</tt>
structure to handle 64 CPUs, as permitted by the number of bits in
the <tt>-&gt;qsmask</tt> field on a 64-bit system, results in
excessive contention for the leaf <tt>rcu_node</tt> structures'
<tt>-&gt;lock</tt> fields.
The number of CPUs per leaf <tt>rcu_node</tt> structure is therefore
limited to 16 given the default value of <tt>CONFIG_RCU_FANOUT_LEAF</tt>.
If <tt>CONFIG_RCU_FANOUT_LEAF</tt> is unspecified, the value
selected is based on the word size of the system, just as for
<tt>CONFIG_RCU_FANOUT</tt>.
Lines&nbsp;11-19 perform this computation.

</p><p>Lines&nbsp;21-24 compute the maximum number of CPUs supported by
a single-level (which contains a single <tt>rcu_node</tt> structure),
two-level, three-level, and four-level <tt>rcu_node</tt> tree,
respectively, given the fanout specified by <tt>RCU_FANOUT</tt>
and <tt>RCU_FANOUT_LEAF</tt>.
These numbers of CPUs are retained in the
<tt>RCU_FANOUT_1</tt>,
<tt>RCU_FANOUT_2</tt>,
<tt>RCU_FANOUT_3</tt>, and
<tt>RCU_FANOUT_4</tt>
C-preprocessor variables, respectively.

</p><p>These variables are used to control the C-preprocessor <tt>#if</tt>
statement spanning lines&nbsp;26-66 that computes the number of
<tt>rcu_node</tt> structures required for each level of the tree,
as well as the number of levels required.
The number of levels is placed in the <tt>NUM_RCU_LVLS</tt>
C-preprocessor variable by lines&nbsp;27, 35, 44, and&nbsp;54.
The number of <tt>rcu_node</tt> structures for the topmost level
of the tree is always exactly one, and this value is unconditionally
placed into <tt>NUM_RCU_LVL_0</tt> by lines&nbsp;28, 36, 45, and&nbsp;55.
The rest of the levels (if any) of the <tt>rcu_node</tt> tree
are computed by dividing the maximum number of CPUs by the
fanout supported by the number of levels from the current level down,
rounding up.  This computation is performed by lines&nbsp;37,
46-47, and&nbsp;56-58.
Lines&nbsp;31-33, 40-42, 50-52, and&nbsp;62-63 create initializers
for lockdep lock-class names.
Finally, lines&nbsp;64-66 produce an error if the maximum number of
CPUs is too large for the specified fanout.
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<h3><a name="The rcu_segcblist Structure">
The <tt>rcu_segcblist</tt> Structure</a></h3>

The <tt>rcu_segcblist</tt> structure maintains a segmented list of
callbacks as follows:

<pre>
 1 #define RCU_DONE_TAIL        0
 2 #define RCU_WAIT_TAIL        1
 3 #define RCU_NEXT_READY_TAIL  2
 4 #define RCU_NEXT_TAIL        3
 5 #define RCU_CBLIST_NSEGS     4
 6
 7 struct rcu_segcblist {
 8   struct rcu_head *head;
 9   struct rcu_head **tails[RCU_CBLIST_NSEGS];
10   unsigned long gp_seq[RCU_CBLIST_NSEGS];
11   long len;
12   long len_lazy;
13 };
</pre>

<p>
The segments are as follows:

<ol>
<li>	<tt>RCU_DONE_TAIL</tt>: Callbacks whose grace periods have elapsed.
	These callbacks are ready to be invoked.
<li>	<tt>RCU_WAIT_TAIL</tt>: Callbacks that are waiting for the
	current grace period.
	Note that different CPUs can have different ideas about which
	grace period is current, hence the <tt>-&gt;gp_seq</tt> field.
<li>	<tt>RCU_NEXT_READY_TAIL</tt>: Callbacks waiting for the next
	grace period to start.
<li>	<tt>RCU_NEXT_TAIL</tt>: Callbacks that have not yet been
	associated with a grace period.
</ol>

<p>
The <tt>-&gt;head</tt> pointer references the first callback or
is <tt>NULL</tt> if the list contains no callbacks (which is
<i>not</i> the same as being empty).
Each element of the <tt>-&gt;tails[]</tt> array references the
<tt>-&gt;next</tt> pointer of the last callback in the corresponding
segment of the list, or the list's <tt>-&gt;head</tt> pointer if
that segment and all previous segments are empty.
If the corresponding segment is empty but some previous segment is
not empty, then the array element is identical to its predecessor.
Older callbacks are closer to the head of the list, and new callbacks
are added at the tail.
This relationship between the <tt>-&gt;head</tt> pointer, the
<tt>-&gt;tails[]</tt> array, and the callbacks is shown in this
diagram:

</p><p><img src="nxtlist.svg" alt="nxtlist.svg" width="40%">

</p><p>In this figure, the <tt>-&gt;head</tt> pointer references the
first
RCU callback in the list.
The <tt>-&gt;tails[RCU_DONE_TAIL]</tt> array element references
the <tt>-&gt;head</tt> pointer itself, indicating that none
of the callbacks is ready to invoke.
The <tt>-&gt;tails[RCU_WAIT_TAIL]</tt> array element references callback
CB&nbsp;2's <tt>-&gt;next</tt> pointer, which indicates that
CB&nbsp;1 and CB&nbsp;2 are both waiting on the current grace period,
give or take possible disagreements about exactly which grace period
is the current one.
The <tt>-&gt;tails[RCU_NEXT_READY_TAIL]</tt> array element
references the same RCU callback that <tt>-&gt;tails[RCU_WAIT_TAIL]</tt>
does, which indicates that there are no callbacks waiting on the next
RCU grace period.
The <tt>-&gt;tails[RCU_NEXT_TAIL]</tt> array element references
CB&nbsp;4's <tt>-&gt;next</tt> pointer, indicating that all the
remaining RCU callbacks have not yet been assigned to an RCU grace
period.
Note that the <tt>-&gt;tails[RCU_NEXT_TAIL]</tt> array element
always references the last RCU callback's <tt>-&gt;next</tt> pointer
unless the callback list is empty, in which case it references
the <tt>-&gt;head</tt> pointer.

<p>
There is one additional important special case for the
<tt>-&gt;tails[RCU_NEXT_TAIL]</tt> array element: It can be <tt>NULL</tt>
when this list is <i>disabled</i>.
Lists are disabled when the corresponding CPU is offline or when
the corresponding CPU's callbacks are offloaded to a kthread,
both of which are described elsewhere.

</p><p>CPUs advance their callbacks from the
<tt>RCU_NEXT_TAIL</tt> to the <tt>RCU_NEXT_READY_TAIL</tt> to the
<tt>RCU_WAIT_TAIL</tt> to the <tt>RCU_DONE_TAIL</tt> list segments
as grace periods advance.

</p><p>The <tt>-&gt;gp_seq[]</tt> array records grace-period
numbers corresponding to the list segments.
This is what allows different CPUs to have different ideas as to
which is the current grace period while still avoiding premature
invocation of their callbacks.
In particular, this allows CPUs that go idle for extended periods
to determine which of their callbacks are ready to be invoked after
reawakening.

</p><p>The <tt>-&gt;len</tt> counter contains the number of
callbacks in <tt>-&gt;head</tt>, and the
<tt>-&gt;len_lazy</tt> contains the number of those callbacks that
are known to only free memory, and whose invocation can therefore
be safely deferred.

<p><b>Important note</b>: It is the <tt>-&gt;len</tt> field that
determines whether or not there are callbacks associated with
this <tt>rcu_segcblist</tt> structure, <i>not</i> the <tt>-&gt;head</tt>
pointer.
The reason for this is that all the ready-to-invoke callbacks
(that is, those in the <tt>RCU_DONE_TAIL</tt> segment) are extracted
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all at once at callback-invocation time (<tt>rcu_do_batch</tt>), due
to which <tt>-&gt;head</tt> may be set to NULL if there are no not-done
callbacks remaining in the <tt>rcu_segcblist</tt>.
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If callback invocation must be postponed, for example, because a
high-priority process just woke up on this CPU, then the remaining
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callbacks are placed back on the <tt>RCU_DONE_TAIL</tt> segment and
<tt>-&gt;head</tt> once again points to the start of the segment.
In short, the head field can briefly be <tt>NULL</tt> even though the
CPU has callbacks present the entire time.
Therefore, it is not appropriate to test the <tt>-&gt;head</tt> pointer
for <tt>NULL</tt>.

<p>In contrast, the <tt>-&gt;len</tt> and <tt>-&gt;len_lazy</tt> counts
are adjusted only after the corresponding callbacks have been invoked.
This means that the <tt>-&gt;len</tt> count is zero only if
the <tt>rcu_segcblist</tt> structure really is devoid of callbacks.
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Of course, off-CPU sampling of the <tt>-&gt;len</tt> count requires
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careful use of appropriate synchronization, for example, memory barriers.
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This synchronization can be a bit subtle, particularly in the case
of <tt>rcu_barrier()</tt>.
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<h3><a name="The rcu_data Structure">
The <tt>rcu_data</tt> Structure</a></h3>
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<p>The <tt>rcu_data</tt> maintains the per-CPU state for the RCU subsystem.
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The fields in this structure may be accessed only from the corresponding
CPU (and from tracing) unless otherwise stated.
This structure is the
focus of quiescent-state detection and RCU callback queuing.
It also tracks its relationship to the corresponding leaf
<tt>rcu_node</tt> structure to allow more-efficient
propagation of quiescent states up the <tt>rcu_node</tt>
combining tree.
Like the <tt>rcu_node</tt> structure, it provides a local
copy of the grace-period information to allow for-free
synchronized
access to this information from the corresponding CPU.
Finally, this structure records past dyntick-idle state
for the corresponding CPU and also tracks statistics.

</p><p>The <tt>rcu_data</tt> structure's fields are discussed,
singly and in groups, in the following sections.

<h5>Connection to Other Data Structures</h5>

<p>This portion of the <tt>rcu_data</tt> structure is declared
as follows:

<pre>
  1   int cpu;
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  2   struct rcu_node *mynode;
  3   unsigned long grpmask;
  4   bool beenonline;
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</pre>

<p>The <tt>-&gt;cpu</tt> field contains the number of the
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corresponding CPU and the <tt>-&gt;mynode</tt> field references the
corresponding <tt>rcu_node</tt> structure.
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The <tt>-&gt;mynode</tt> is used to propagate quiescent states
up the combining tree.
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These two fields are constant and therefore do not require synchronization.
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<p>The <tt>-&gt;grpmask</tt> field indicates the bit in
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the <tt>-&gt;mynode-&gt;qsmask</tt> corresponding to this
<tt>rcu_data</tt> structure, and is also used when propagating
quiescent states.
The <tt>-&gt;beenonline</tt> flag is set whenever the corresponding
CPU comes online, which means that the debugfs tracing need not dump
out any <tt>rcu_data</tt> structure for which this flag is not set.

<h5>Quiescent-State and Grace-Period Tracking</h5>

<p>This portion of the <tt>rcu_data</tt> structure is declared
as follows:

<pre>
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  1   unsigned long gp_seq;
  2   unsigned long gp_seq_needed;
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  3   bool cpu_no_qs;
  4   bool core_needs_qs;
  5   bool gpwrap;
</pre>
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<p>The <tt>-&gt;gp_seq</tt> field is the counterpart of the field of the same
name in the <tt>rcu_state</tt> and <tt>rcu_node</tt> structures.  The
<tt>-&gt;gp_seq_needed</tt> field is the counterpart of the field of the same
name in the rcu_node</tt> structure.
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They may each lag up to one behind their <tt>rcu_node</tt>
counterparts, but in <tt>CONFIG_NO_HZ_IDLE</tt> and
<tt>CONFIG_NO_HZ_FULL</tt> kernels can lag
arbitrarily far behind for CPUs in dyntick-idle mode (but these counters
will catch up upon exit from dyntick-idle mode).
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If the lower two bits of a given <tt>rcu_data</tt> structure's
<tt>-&gt;gp_seq</tt> are zero, then this <tt>rcu_data</tt>
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structure believes that RCU is idle.

<table>
<tr><th>&nbsp;</th></tr>
<tr><th align="left">Quick Quiz:</th></tr>
<tr><td>
	All this replication of the grace period numbers can only cause
	massive confusion.
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	Why not just keep a global sequence number and be done with it???
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</td></tr>
<tr><th align="left">Answer:</th></tr>
<tr><td bgcolor="#ffffff"><font color="ffffff">
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	Because if there was only a single global sequence
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	numbers, there would need to be a single global lock to allow
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	safely accessing and updating it.
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	And if we are not going to have a single global lock, we need
	to carefully manage the numbers on a per-node basis.
	Recall from the answer to a previous Quick Quiz that the consequences
	of applying a previously sampled quiescent state to the wrong
	grace period are quite severe.
</font></td></tr>
<tr><td>&nbsp;</td></tr>
</table>

<p>The <tt>-&gt;cpu_no_qs</tt> flag indicates that the
CPU has not yet passed through a quiescent state,
while the <tt>-&gt;core_needs_qs</tt> flag indicates that the
RCU core needs a quiescent state from the corresponding CPU.
The <tt>-&gt;gpwrap</tt> field indicates that the corresponding
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CPU has remained idle for so long that the
<tt>gp_seq</tt> counter is in danger of overflow, which
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will cause the CPU to disregard the values of its counters on
its next exit from idle.

<h5>RCU Callback Handling</h5>

<p>In the absence of CPU-hotplug events, RCU callbacks are invoked by
the same CPU that registered them.
This is strictly a cache-locality optimization: callbacks can and
do get invoked on CPUs other than the one that registered them.
After all, if the CPU that registered a given callback has gone
offline before the callback can be invoked, there really is no other
choice.

</p><p>This portion of the <tt>rcu_data</tt> structure is declared
as follows:

<pre>
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 1 struct rcu_segcblist cblist;
 2 long qlen_last_fqs_check;
 3 unsigned long n_cbs_invoked;
 4 unsigned long n_nocbs_invoked;
 5 unsigned long n_cbs_orphaned;
 6 unsigned long n_cbs_adopted;
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 7 unsigned long n_force_qs_snap;
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 8 long blimit;
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</pre>
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<p>The <tt>-&gt;cblist</tt> structure is the segmented callback list
described earlier.
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The CPU advances the callbacks in its <tt>rcu_data</tt> structure
whenever it notices that another RCU grace period has completed.
The CPU detects the completion of an RCU grace period by noticing
that the value of its <tt>rcu_data</tt> structure's
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<tt>-&gt;gp_seq</tt> field differs from that of its leaf
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<tt>rcu_node</tt> structure.
Recall that each <tt>rcu_node</tt> structure's
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<tt>-&gt;gp_seq</tt> field is updated at the beginnings and ends of each
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grace period.
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<p>
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The <tt>-&gt;qlen_last_fqs_check</tt> and
<tt>-&gt;n_force_qs_snap</tt> coordinate the forcing of quiescent
states from <tt>call_rcu()</tt> and friends when callback
lists grow excessively long.

</p><p>The <tt>-&gt;n_cbs_invoked</tt>,
<tt>-&gt;n_cbs_orphaned</tt>, and <tt>-&gt;n_cbs_adopted</tt>
fields count the number of callbacks invoked,
sent to other CPUs when this CPU goes offline,
and received from other CPUs when those other CPUs go offline.
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The <tt>-&gt;n_nocbs_invoked</tt> is used when the CPU's callbacks
are offloaded to a kthread.

<p>
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Finally, the <tt>-&gt;blimit</tt> counter is the maximum number of
RCU callbacks that may be invoked at a given time.

<h5>Dyntick-Idle Handling</h5>

<p>This portion of the <tt>rcu_data</tt> structure is declared
as follows:

<pre>
  1   int dynticks_snap;
  2   unsigned long dynticks_fqs;
</pre>

The <tt>-&gt;dynticks_snap</tt> field is used to take a snapshot
of the corresponding CPU's dyntick-idle state when forcing
quiescent states, and is therefore accessed from other CPUs.
Finally, the <tt>-&gt;dynticks_fqs</tt> field is used to
count the number of times this CPU is determined to be in
dyntick-idle state, and is used for tracing and debugging purposes.
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<p>
This portion of the rcu_data structure is declared as follows:
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<pre>
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  1   long dynticks_nesting;
  2   long dynticks_nmi_nesting;
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  3   atomic_t dynticks;
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  4   bool rcu_need_heavy_qs;
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  5   bool rcu_urgent_qs;
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</pre>
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<p>These fields in the rcu_data structure maintain the per-CPU dyntick-idle
state for the corresponding CPU.
The fields may be accessed only from the corresponding CPU (and from tracing)
unless otherwise stated.
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<p>The <tt>-&gt;dynticks_nesting</tt> field counts the
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nesting depth of process execution, so that in normal circumstances
this counter has value zero or one.
NMIs, irqs, and tracers are counted by the <tt>-&gt;dynticks_nmi_nesting</tt>
field.
Because NMIs cannot be masked, changes to this variable have to be
undertaken carefully using an algorithm provided by Andy Lutomirski.
The initial transition from idle adds one, and nested transitions
add two, so that a nesting level of five is represented by a
<tt>-&gt;dynticks_nmi_nesting</tt> value of nine.
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This counter can therefore be thought of as counting the number
of reasons why this CPU cannot be permitted to enter dyntick-idle
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mode, aside from process-level transitions.

<p>However, it turns out that when running in non-idle kernel context,
the Linux kernel is fully capable of entering interrupt handlers that
never exit and perhaps also vice versa.
Therefore, whenever the <tt>-&gt;dynticks_nesting</tt> field is
incremented up from zero, the <tt>-&gt;dynticks_nmi_nesting</tt> field
is set to a large positive number, and whenever the
<tt>-&gt;dynticks_nesting</tt> field is decremented down to zero,
the the <tt>-&gt;dynticks_nmi_nesting</tt> field is set to zero.
Assuming that the number of misnested interrupts is not sufficient
to overflow the counter, this approach corrects the
<tt>-&gt;dynticks_nmi_nesting</tt> field every time the corresponding
CPU enters the idle loop from process context.
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</p><p>The <tt>-&gt;dynticks</tt> field counts the corresponding
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CPU's transitions to and from either dyntick-idle or user mode, so
that this counter has an even value when the CPU is in dyntick-idle
mode or user mode and an odd value otherwise. The transitions to/from
user mode need to be counted for user mode adaptive-ticks support
(see timers/NO_HZ.txt).
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</p><p>The <tt>-&gt;rcu_need_heavy_qs</tt> field is used
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to record the fact that the RCU core code would really like to
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see a quiescent state from the corresponding CPU, so much so that
it is willing to call for heavy-weight dyntick-counter operations.
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This flag is checked by RCU's context-switch and <tt>cond_resched()</tt>
code, which provide a momentary idle sojourn in response.
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</p><p>Finally, the <tt>-&gt;rcu_urgent_qs</tt> field is used to record
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the fact that the RCU core code would really like to see a quiescent state from
the corresponding CPU, with the various other fields indicating just how badly
RCU wants this quiescent state.
This flag is checked by RCU's context-switch path
(<tt>rcu_note_context_switch</tt>) and the cond_resched code.
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<table>
<tr><th>&nbsp;</th></tr>
<tr><th align="left">Quick Quiz:</th></tr>
<tr><td>
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	Why not simply combine the <tt>-&gt;dynticks_nesting</tt>
	and <tt>-&gt;dynticks_nmi_nesting</tt> counters into a
	single counter that just counts the number of reasons that
	the corresponding CPU is non-idle?
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</td></tr>
<tr><th align="left">Answer:</th></tr>
<tr><td bgcolor="#ffffff"><font color="ffffff">
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	Because this would fail in the presence of interrupts whose
	handlers never return and of handlers that manage to return
	from a made-up interrupt.
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</font></td></tr>
<tr><td>&nbsp;</td></tr>
</table>

<p>Additional fields are present for some special-purpose
builds, and are discussed separately.

<h3><a name="The rcu_head Structure">
The <tt>rcu_head</tt> Structure</a></h3>

<p>Each <tt>rcu_head</tt> structure represents an RCU callback.
These structures are normally embedded within RCU-protected data
structures whose algorithms use asynchronous grace periods.
In contrast, when using algorithms that block waiting for RCU grace periods,
RCU users need not provide <tt>rcu_head</tt> structures.

</p><p>The <tt>rcu_head</tt> structure has fields as follows:

<pre>
  1   struct rcu_head *next;
  2   void (*func)(struct rcu_head *head);
</pre>

<p>The <tt>-&gt;next</tt> field is used
to link the <tt>rcu_head</tt> structures together in the
lists within the <tt>rcu_data</tt> structures.
The <tt>-&gt;func</tt> field is a pointer to the function
to be called when the callback is ready to be invoked, and
this function is passed a pointer to the <tt>rcu_head</tt>
structure.
However, <tt>kfree_rcu()</tt> uses the <tt>-&gt;func</tt>
field to record the offset of the <tt>rcu_head</tt>
structure within the enclosing RCU-protected data structure.

</p><p>Both of these fields are used internally by RCU.
From the viewpoint of RCU users, this structure is an
opaque &ldquo;cookie&rdquo;.

<table>
<tr><th>&nbsp;</th></tr>
<tr><th align="left">Quick Quiz:</th></tr>
<tr><td>
	Given that the callback function <tt>-&gt;func</tt>
	is passed a pointer to the <tt>rcu_head</tt> structure,
	how is that function supposed to find the beginning of the
	enclosing RCU-protected data structure?
</td></tr>
<tr><th align="left">Answer:</th></tr>
<tr><td bgcolor="#ffffff"><font color="ffffff">
	In actual practice, there is a separate callback function per
	type of RCU-protected data structure.
	The callback function can therefore use the <tt>container_of()</tt>
	macro in the Linux kernel (or other pointer-manipulation facilities
	in other software environments) to find the beginning of the
	enclosing structure.
</font></td></tr>
<tr><td>&nbsp;</td></tr>
</table>

<h3><a name="RCU-Specific Fields in the task_struct Structure">
RCU-Specific Fields in the <tt>task_struct</tt> Structure</a></h3>

<p>The <tt>CONFIG_PREEMPT_RCU</tt> implementation uses some
additional fields in the <tt>task_struct</tt> structure:

<pre>
 1 #ifdef CONFIG_PREEMPT_RCU
 2   int rcu_read_lock_nesting;
 3   union rcu_special rcu_read_unlock_special;
 4   struct list_head rcu_node_entry;
 5   struct rcu_node *rcu_blocked_node;
 6 #endif /* #ifdef CONFIG_PREEMPT_RCU */
 7 #ifdef CONFIG_TASKS_RCU
 8   unsigned long rcu_tasks_nvcsw;
 9   bool rcu_tasks_holdout;
10   struct list_head rcu_tasks_holdout_list;
11   int rcu_tasks_idle_cpu;
12 #endif /* #ifdef CONFIG_TASKS_RCU */
</pre>

<p>The <tt>-&gt;rcu_read_lock_nesting</tt> field records the
nesting level for RCU read-side critical sections, and
the <tt>-&gt;rcu_read_unlock_special</tt> field is a bitmask
that records special conditions that require <tt>rcu_read_unlock()</tt>
to do additional work.
The <tt>-&gt;rcu_node_entry</tt> field is used to form lists of
tasks that have blocked within preemptible-RCU read-side critical
sections and the <tt>-&gt;rcu_blocked_node</tt> field references
the <tt>rcu_node</tt> structure whose list this task is a member of,
or <tt>NULL</tt> if it is not blocked within a preemptible-RCU
read-side critical section.

<p>The <tt>-&gt;rcu_tasks_nvcsw</tt> field tracks the number of
voluntary context switches that this task had undergone at the
beginning of the current tasks-RCU grace period,
<tt>-&gt;rcu_tasks_holdout</tt> is set if the current tasks-RCU
grace period is waiting on this task, <tt>-&gt;rcu_tasks_holdout_list</tt>
is a list element enqueuing this task on the holdout list,
and <tt>-&gt;rcu_tasks_idle_cpu</tt> tracks which CPU this
idle task is running, but only if the task is currently running,
that is, if the CPU is currently idle.

<h3><a name="Accessor Functions">
Accessor Functions</a></h3>

<p>The following listing shows the
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<tt>rcu_for_each_leaf_node()</tt> function and macros:

<pre>
  1 static struct rcu_node *rcu_get_root(struct rcu_state *rsp)
  2 {
  3   return &amp;rsp-&gt;node[0];
  4 }
  5
  6 #define rcu_for_each_node_breadth_first(rsp, rnp) \
  7   for ((rnp) = &amp;(rsp)-&gt;node[0]; \
  8        (rnp) &lt; &amp;(rsp)-&gt;node[NUM_RCU_NODES]; (rnp)++)
  9
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 10 #define rcu_for_each_leaf_node(rsp, rnp) \
 11   for ((rnp) = (rsp)-&gt;level[NUM_RCU_LVLS - 1]; \
 12        (rnp) &lt; &amp;(rsp)-&gt;node[NUM_RCU_NODES]; (rnp)++)
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</pre>

<p>The <tt>rcu_get_root()</tt> simply returns a pointer to the
first element of the specified <tt>rcu_state</tt> structure's
<tt>-&gt;node[]</tt> array, which is the root <tt>rcu_node</tt>
structure.

</p><p>As noted earlier, the <tt>rcu_for_each_node_breadth_first()</tt>
macro takes advantage of the layout of the <tt>rcu_node</tt>
structures in the <tt>rcu_state</tt> structure's
<tt>-&gt;node[]</tt> array, performing a breadth-first traversal by
simply traversing the array in order.
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Similarly, the <tt>rcu_for_each_leaf_node()</tt> macro traverses only
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the last part of the array, thus traversing only the leaf
<tt>rcu_node</tt> structures.

<table>
<tr><th>&nbsp;</th></tr>
<tr><th align="left">Quick Quiz:</th></tr>
<tr><td>
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	What does
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	<tt>rcu_for_each_leaf_node()</tt> do if the <tt>rcu_node</tt> tree
	contains only a single node?
</td></tr>
<tr><th align="left">Answer:</th></tr>
<tr><td bgcolor="#ffffff"><font color="ffffff">
	In the single-node case,
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	<tt>rcu_for_each_leaf_node()</tt> traverses the single node.
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</font></td></tr>
<tr><td>&nbsp;</td></tr>
</table>

<h3><a name="Summary">
Summary</a></h3>
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So the state of RCU is represented by an <tt>rcu_state</tt> structure,
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which contains a combining tree of <tt>rcu_node</tt> and
<tt>rcu_data</tt> structures.
Finally, in <tt>CONFIG_NO_HZ_IDLE</tt> kernels, each CPU's dyntick-idle
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state is tracked by dynticks-related fields in the <tt>rcu_data</tt> structure.
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If you made it this far, you are well prepared to read the code
walkthroughs in the other articles in this series.

<h3><a name="Acknowledgments">
Acknowledgments</a></h3>

I owe thanks to Cyrill Gorcunov, Mathieu Desnoyers, Dhaval Giani, Paul
Turner, Abhishek Srivastava, Matt Kowalczyk, and Serge Hallyn
for helping me get this document into a more human-readable state.

<h3><a name="Legal Statement">
Legal Statement</a></h3>

<p>This work represents the view of the author and does not necessarily
represent the view of IBM.

</p><p>Linux is a registered trademark of Linus Torvalds.

</p><p>Other company, product, and service names may be trademarks or
service marks of others.

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