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1 files changed, 575 insertions, 27 deletions
diff --git a/tools/memory-model/Documentation/explanation.txt b/tools/memory-model/Documentation/explanation.txt
index 488f11f6c588..e91a2eb19592 100644
--- a/tools/memory-model/Documentation/explanation.txt
+++ b/tools/memory-model/Documentation/explanation.txt
@@ -27,9 +27,10 @@ Explanation of the Linux-Kernel Memory Consistency Model
19. AND THEN THERE WAS ALPHA
20. THE HAPPENS-BEFORE RELATION: hb
21. THE PROPAGATES-BEFORE RELATION: pb
- 22. RCU RELATIONS: rcu-link, rcu-gp, rcu-rscsi, rcu-fence, and rb
+ 22. RCU RELATIONS: rcu-link, rcu-gp, rcu-rscsi, rcu-order, rcu-fence, and rb
23. LOCKING
- 24. ODDS AND ENDS
+ 24. PLAIN ACCESSES AND DATA RACES
+ 25. ODDS AND ENDS
@@ -42,8 +43,7 @@ linux-kernel.bell and linux-kernel.cat files that make up the formal
version of the model; they are extremely terse and their meanings are
far from clear.
-This document describes the ideas underlying the LKMM, but excluding
-the modeling of bare C (or plain) shared memory accesses. It is meant
+This document describes the ideas underlying the LKMM. It is meant
for people who want to understand how the model was designed. It does
not go into the details of the code in the .bell and .cat files;
rather, it explains in English what the code expresses symbolically.
@@ -206,7 +206,7 @@ goes like this:
P0 stores 1 to buf before storing 1 to flag, since it executes
its instructions in order.
- Since an instruction (in this case, P1's store to flag) cannot
+ Since an instruction (in this case, P0's store to flag) cannot
execute before itself, the specified outcome is impossible.
However, real computer hardware almost never follows the Sequential
@@ -419,7 +419,7 @@ example:
The object code might call f(5) either before or after g(6); the
memory model cannot assume there is a fixed program order relation
-between them. (In fact, if the functions are inlined then the
+between them. (In fact, if the function calls are inlined then the
compiler might even interleave their object code.)
@@ -499,7 +499,7 @@ different CPUs (external reads-from, or rfe).
For our purposes, a memory location's initial value is treated as
though it had been written there by an imaginary initial store that
-executes on a separate CPU before the program runs.
+executes on a separate CPU before the main program runs.
Usage of the rf relation implicitly assumes that loads will always
read from a single store. It doesn't apply properly in the presence
@@ -857,7 +857,7 @@ outlined above. These restrictions involve the necessity of
maintaining cache coherence and the fact that a CPU can't operate on a
value before it knows what that value is, among other things.
-The formal version of the LKMM is defined by five requirements, or
+The formal version of the LKMM is defined by six requirements, or
axioms:
Sequential consistency per variable: This requires that the
@@ -877,10 +877,14 @@ axioms:
grace periods obey the rules of RCU, in particular, the
Grace-Period Guarantee.
+ Plain-coherence: This requires that plain memory accesses
+ (those not using READ_ONCE(), WRITE_ONCE(), etc.) must obey
+ the operational model's rules regarding cache coherence.
+
The first and second are quite common; they can be found in many
memory models (such as those for C11/C++11). The "happens-before" and
"propagation" axioms have analogs in other memory models as well. The
-"rcu" axiom is specific to the LKMM.
+"rcu" and "plain-coherence" axioms are specific to the LKMM.
Each of these axioms is discussed below.
@@ -955,7 +959,7 @@ atomic update. This is what the LKMM's "atomic" axiom says.
THE PRESERVED PROGRAM ORDER RELATION: ppo
-----------------------------------------
-There are many situations where a CPU is obligated to execute two
+There are many situations where a CPU is obliged to execute two
instructions in program order. We amalgamate them into the ppo (for
"preserved program order") relation, which links the po-earlier
instruction to the po-later instruction and is thus a sub-relation of
@@ -1425,8 +1429,8 @@ they execute means that it cannot have cycles. This requirement is
the content of the LKMM's "propagation" axiom.
-RCU RELATIONS: rcu-link, rcu-gp, rcu-rscsi, rcu-fence, and rb
--------------------------------------------------------------
+RCU RELATIONS: rcu-link, rcu-gp, rcu-rscsi, rcu-order, rcu-fence, and rb
+------------------------------------------------------------------------
RCU (Read-Copy-Update) is a powerful synchronization mechanism. It
rests on two concepts: grace periods and read-side critical sections.
@@ -1536,29 +1540,29 @@ Z's CPU before Z begins but doesn't propagate to some other CPU until
after X ends.) Similarly, X ->rcu-rscsi Y ->rcu-link Z says that X is
the end of a critical section which starts before Z begins.
-The LKMM goes on to define the rcu-fence relation as a sequence of
+The LKMM goes on to define the rcu-order relation as a sequence of
rcu-gp and rcu-rscsi links separated by rcu-link links, in which the
number of rcu-gp links is >= the number of rcu-rscsi links. For
example:
X ->rcu-gp Y ->rcu-link Z ->rcu-rscsi T ->rcu-link U ->rcu-gp V
-would imply that X ->rcu-fence V, because this sequence contains two
+would imply that X ->rcu-order V, because this sequence contains two
rcu-gp links and one rcu-rscsi link. (It also implies that
-X ->rcu-fence T and Z ->rcu-fence V.) On the other hand:
+X ->rcu-order T and Z ->rcu-order V.) On the other hand:
X ->rcu-rscsi Y ->rcu-link Z ->rcu-rscsi T ->rcu-link U ->rcu-gp V
-does not imply X ->rcu-fence V, because the sequence contains only
+does not imply X ->rcu-order V, because the sequence contains only
one rcu-gp link but two rcu-rscsi links.
-The rcu-fence relation is important because the Grace Period Guarantee
-means that rcu-fence acts kind of like a strong fence. In particular,
-E ->rcu-fence F implies not only that E begins before F ends, but also
-that any write po-before E will propagate to every CPU before any
-instruction po-after F can execute. (However, it does not imply that
-E must execute before F; in fact, each synchronize_rcu() fence event
-is linked to itself by rcu-fence as a degenerate case.)
+The rcu-order relation is important because the Grace Period Guarantee
+means that rcu-order links act kind of like strong fences. In
+particular, E ->rcu-order F implies not only that E begins before F
+ends, but also that any write po-before E will propagate to every CPU
+before any instruction po-after F can execute. (However, it does not
+imply that E must execute before F; in fact, each synchronize_rcu()
+fence event is linked to itself by rcu-order as a degenerate case.)
To prove this in full generality requires some intellectual effort.
We'll consider just a very simple case:
@@ -1572,7 +1576,7 @@ and there are events X, Y and a read-side critical section C such that:
2. X comes "before" Y in some sense (including rfe, co and fr);
- 2. Y is po-before Z;
+ 3. Y is po-before Z;
4. Z is the rcu_read_unlock() event marking the end of C;
@@ -1585,7 +1589,26 @@ G's CPU before G starts must propagate to every CPU before C starts.
In particular, the write propagates to every CPU before F finishes
executing and hence before any instruction po-after F can execute.
This sort of reasoning can be extended to handle all the situations
-covered by rcu-fence.
+covered by rcu-order.
+
+The rcu-fence relation is a simple extension of rcu-order. While
+rcu-order only links certain fence events (calls to synchronize_rcu(),
+rcu_read_lock(), or rcu_read_unlock()), rcu-fence links any events
+that are separated by an rcu-order link. This is analogous to the way
+the strong-fence relation links events that are separated by an
+smp_mb() fence event (as mentioned above, rcu-order links act kind of
+like strong fences). Written symbolically, X ->rcu-fence Y means
+there are fence events E and F such that:
+
+ X ->po E ->rcu-order F ->po Y.
+
+From the discussion above, we see this implies not only that X
+executes before Y, but also (if X is a store) that X propagates to
+every CPU before Y executes. Thus rcu-fence is sort of a
+"super-strong" fence: Unlike the original strong fences (smp_mb() and
+synchronize_rcu()), rcu-fence is able to link events on different
+CPUs. (Perhaps this fact should lead us to say that rcu-fence isn't
+really a fence at all!)
Finally, the LKMM defines the RCU-before (rb) relation in terms of
rcu-fence. This is done in essentially the same way as the pb
@@ -1596,7 +1619,7 @@ before F, just as E ->pb F does (and for much the same reasons).
Putting this all together, the LKMM expresses the Grace Period
Guarantee by requiring that the rb relation does not contain a cycle.
Equivalently, this "rcu" axiom requires that there are no events E
-and F with E ->rcu-link F ->rcu-fence E. Or to put it a third way,
+and F with E ->rcu-link F ->rcu-order E. Or to put it a third way,
the axiom requires that there are no cycles consisting of rcu-gp and
rcu-rscsi alternating with rcu-link, where the number of rcu-gp links
is >= the number of rcu-rscsi links.
@@ -1750,7 +1773,7 @@ addition to normal RCU. The ideas involved are much the same as
above, with new relations srcu-gp and srcu-rscsi added to represent
SRCU grace periods and read-side critical sections. There is a
restriction on the srcu-gp and srcu-rscsi links that can appear in an
-rcu-fence sequence (the srcu-rscsi links must be paired with srcu-gp
+rcu-order sequence (the srcu-rscsi links must be paired with srcu-gp
links having the same SRCU domain with proper nesting); the details
are relatively unimportant.
@@ -1896,6 +1919,521 @@ architectures supported by the Linux kernel, albeit for various
differing reasons.
+PLAIN ACCESSES AND DATA RACES
+-----------------------------
+
+In the LKMM, memory accesses such as READ_ONCE(x), atomic_inc(&y),
+smp_load_acquire(&z), and so on are collectively referred to as
+"marked" accesses, because they are all annotated with special
+operations of one kind or another. Ordinary C-language memory
+accesses such as x or y = 0 are simply called "plain" accesses.
+
+Early versions of the LKMM had nothing to say about plain accesses.
+The C standard allows compilers to assume that the variables affected
+by plain accesses are not concurrently read or written by any other
+threads or CPUs. This leaves compilers free to implement all manner
+of transformations or optimizations of code containing plain accesses,
+making such code very difficult for a memory model to handle.
+
+Here is just one example of a possible pitfall:
+
+ int a = 6;
+ int *x = &a;
+
+ P0()
+ {
+ int *r1;
+ int r2 = 0;
+
+ r1 = x;
+ if (r1 != NULL)
+ r2 = READ_ONCE(*r1);
+ }
+
+ P1()
+ {
+ WRITE_ONCE(x, NULL);
+ }
+
+On the face of it, one would expect that when this code runs, the only
+possible final values for r2 are 6 and 0, depending on whether or not
+P1's store to x propagates to P0 before P0's load from x executes.
+But since P0's load from x is a plain access, the compiler may decide
+to carry out the load twice (for the comparison against NULL, then again
+for the READ_ONCE()) and eliminate the temporary variable r1. The
+object code generated for P0 could therefore end up looking rather
+like this:
+
+ P0()
+ {
+ int r2 = 0;
+
+ if (x != NULL)
+ r2 = READ_ONCE(*x);
+ }
+
+And now it is obvious that this code runs the risk of dereferencing a
+NULL pointer, because P1's store to x might propagate to P0 after the
+test against NULL has been made but before the READ_ONCE() executes.
+If the original code had said "r1 = READ_ONCE(x)" instead of "r1 = x",
+the compiler would not have performed this optimization and there
+would be no possibility of a NULL-pointer dereference.
+
+Given the possibility of transformations like this one, the LKMM
+doesn't try to predict all possible outcomes of code containing plain
+accesses. It is instead content to determine whether the code
+violates the compiler's assumptions, which would render the ultimate
+outcome undefined.
+
+In technical terms, the compiler is allowed to assume that when the
+program executes, there will not be any data races. A "data race"
+occurs when two conflicting memory accesses execute concurrently;
+two memory accesses "conflict" if:
+
+ they access the same location,
+
+ they occur on different CPUs (or in different threads on the
+ same CPU),
+
+ at least one of them is a plain access,
+
+ and at least one of them is a store.
+
+The LKMM tries to determine whether a program contains two conflicting
+accesses which may execute concurrently; if it does then the LKMM says
+there is a potential data race and makes no predictions about the
+program's outcome.
+
+Determining whether two accesses conflict is easy; you can see that
+all the concepts involved in the definition above are already part of
+the memory model. The hard part is telling whether they may execute
+concurrently. The LKMM takes a conservative attitude, assuming that
+accesses may be concurrent unless it can prove they cannot.
+
+If two memory accesses aren't concurrent then one must execute before
+the other. Therefore the LKMM decides two accesses aren't concurrent
+if they can be connected by a sequence of hb, pb, and rb links
+(together referred to as xb, for "executes before"). However, there
+are two complicating factors.
+
+If X is a load and X executes before a store Y, then indeed there is
+no danger of X and Y being concurrent. After all, Y can't have any
+effect on the value obtained by X until the memory subsystem has
+propagated Y from its own CPU to X's CPU, which won't happen until
+some time after Y executes and thus after X executes. But if X is a
+store, then even if X executes before Y it is still possible that X
+will propagate to Y's CPU just as Y is executing. In such a case X
+could very well interfere somehow with Y, and we would have to
+consider X and Y to be concurrent.
+
+Therefore when X is a store, for X and Y to be non-concurrent the LKMM
+requires not only that X must execute before Y but also that X must
+propagate to Y's CPU before Y executes. (Or vice versa, of course, if
+Y executes before X -- then Y must propagate to X's CPU before X
+executes if Y is a store.) This is expressed by the visibility
+relation (vis), where X ->vis Y is defined to hold if there is an
+intermediate event Z such that:
+
+ X is connected to Z by a possibly empty sequence of
+ cumul-fence links followed by an optional rfe link (if none of
+ these links are present, X and Z are the same event),
+
+and either:
+
+ Z is connected to Y by a strong-fence link followed by a
+ possibly empty sequence of xb links,
+
+or:
+
+ Z is on the same CPU as Y and is connected to Y by a possibly
+ empty sequence of xb links (again, if the sequence is empty it
+ means Z and Y are the same event).
+
+The motivations behind this definition are straightforward:
+
+ cumul-fence memory barriers force stores that are po-before
+ the barrier to propagate to other CPUs before stores that are
+ po-after the barrier.
+
+ An rfe link from an event W to an event R says that R reads
+ from W, which certainly means that W must have propagated to
+ R's CPU before R executed.
+
+ strong-fence memory barriers force stores that are po-before
+ the barrier, or that propagate to the barrier's CPU before the
+ barrier executes, to propagate to all CPUs before any events
+ po-after the barrier can execute.
+
+To see how this works out in practice, consider our old friend, the MP
+pattern (with fences and statement labels, but without the conditional
+test):
+
+ int buf = 0, flag = 0;
+
+ P0()
+ {
+ X: WRITE_ONCE(buf, 1);
+ smp_wmb();
+ W: WRITE_ONCE(flag, 1);
+ }
+
+ P1()
+ {
+ int r1;
+ int r2 = 0;
+
+ Z: r1 = READ_ONCE(flag);
+ smp_rmb();
+ Y: r2 = READ_ONCE(buf);
+ }
+
+The smp_wmb() memory barrier gives a cumul-fence link from X to W, and
+assuming r1 = 1 at the end, there is an rfe link from W to Z. This
+means that the store to buf must propagate from P0 to P1 before Z
+executes. Next, Z and Y are on the same CPU and the smp_rmb() fence
+provides an xb link from Z to Y (i.e., it forces Z to execute before
+Y). Therefore we have X ->vis Y: X must propagate to Y's CPU before Y
+executes.
+
+The second complicating factor mentioned above arises from the fact
+that when we are considering data races, some of the memory accesses
+are plain. Now, although we have not said so explicitly, up to this
+point most of the relations defined by the LKMM (ppo, hb, prop,
+cumul-fence, pb, and so on -- including vis) apply only to marked
+accesses.
+
+There are good reasons for this restriction. The compiler is not
+allowed to apply fancy transformations to marked accesses, and
+consequently each such access in the source code corresponds more or
+less directly to a single machine instruction in the object code. But
+plain accesses are a different story; the compiler may combine them,
+split them up, duplicate them, eliminate them, invent new ones, and
+who knows what else. Seeing a plain access in the source code tells
+you almost nothing about what machine instructions will end up in the
+object code.
+
+Fortunately, the compiler isn't completely free; it is subject to some
+limitations. For one, it is not allowed to introduce a data race into
+the object code if the source code does not already contain a data
+race (if it could, memory models would be useless and no multithreaded
+code would be safe!). For another, it cannot move a plain access past
+a compiler barrier.
+
+A compiler barrier is a kind of fence, but as the name implies, it
+only affects the compiler; it does not necessarily have any effect on
+how instructions are executed by the CPU. In Linux kernel source
+code, the barrier() function is a compiler barrier. It doesn't give
+rise directly to any machine instructions in the object code; rather,
+it affects how the compiler generates the rest of the object code.
+Given source code like this:
+
+ ... some memory accesses ...
+ barrier();
+ ... some other memory accesses ...
+
+the barrier() function ensures that the machine instructions
+corresponding to the first group of accesses will all end po-before
+any machine instructions corresponding to the second group of accesses
+-- even if some of the accesses are plain. (Of course, the CPU may
+then execute some of those accesses out of program order, but we
+already know how to deal with such issues.) Without the barrier()
+there would be no such guarantee; the two groups of accesses could be
+intermingled or even reversed in the object code.
+
+The LKMM doesn't say much about the barrier() function, but it does
+require that all fences are also compiler barriers. In addition, it
+requires that the ordering properties of memory barriers such as
+smp_rmb() or smp_store_release() apply to plain accesses as well as to
+marked accesses.
+
+This is the key to analyzing data races. Consider the MP pattern
+again, now using plain accesses for buf:
+
+ int buf = 0, flag = 0;
+
+ P0()
+ {
+ U: buf = 1;
+ smp_wmb();
+ X: WRITE_ONCE(flag, 1);
+ }
+
+ P1()
+ {
+ int r1;
+ int r2 = 0;
+
+ Y: r1 = READ_ONCE(flag);
+ if (r1) {
+ smp_rmb();
+ V: r2 = buf;
+ }
+ }
+
+This program does not contain a data race. Although the U and V
+accesses conflict, the LKMM can prove they are not concurrent as
+follows:
+
+ The smp_wmb() fence in P0 is both a compiler barrier and a
+ cumul-fence. It guarantees that no matter what hash of
+ machine instructions the compiler generates for the plain
+ access U, all those instructions will be po-before the fence.
+ Consequently U's store to buf, no matter how it is carried out
+ at the machine level, must propagate to P1 before X's store to
+ flag does.
+
+ X and Y are both marked accesses. Hence an rfe link from X to
+ Y is a valid indicator that X propagated to P1 before Y
+ executed, i.e., X ->vis Y. (And if there is no rfe link then
+ r1 will be 0, so V will not be executed and ipso facto won't
+ race with U.)
+
+ The smp_rmb() fence in P1 is a compiler barrier as well as a
+ fence. It guarantees that all the machine-level instructions
+ corresponding to the access V will be po-after the fence, and
+ therefore any loads among those instructions will execute
+ after the fence does and hence after Y does.
+
+Thus U's store to buf is forced to propagate to P1 before V's load
+executes (assuming V does execute), ruling out the possibility of a
+data race between them.
+
+This analysis illustrates how the LKMM deals with plain accesses in
+general. Suppose R is a plain load and we want to show that R
+executes before some marked access E. We can do this by finding a
+marked access X such that R and X are ordered by a suitable fence and
+X ->xb* E. If E was also a plain access, we would also look for a
+marked access Y such that X ->xb* Y, and Y and E are ordered by a
+fence. We describe this arrangement by saying that R is
+"post-bounded" by X and E is "pre-bounded" by Y.
+
+In fact, we go one step further: Since R is a read, we say that R is
+"r-post-bounded" by X. Similarly, E would be "r-pre-bounded" or
+"w-pre-bounded" by Y, depending on whether E was a store or a load.
+This distinction is needed because some fences affect only loads
+(i.e., smp_rmb()) and some affect only stores (smp_wmb()); otherwise
+the two types of bounds are the same. And as a degenerate case, we
+say that a marked access pre-bounds and post-bounds itself (e.g., if R
+above were a marked load then X could simply be taken to be R itself.)
+
+The need to distinguish between r- and w-bounding raises yet another
+issue. When the source code contains a plain store, the compiler is
+allowed to put plain loads of the same location into the object code.
+For example, given the source code:
+
+ x = 1;
+
+the compiler is theoretically allowed to generate object code that
+looks like:
+
+ if (x != 1)
+ x = 1;
+
+thereby adding a load (and possibly replacing the store entirely).
+For this reason, whenever the LKMM requires a plain store to be
+w-pre-bounded or w-post-bounded by a marked access, it also requires
+the store to be r-pre-bounded or r-post-bounded, so as to handle cases
+where the compiler adds a load.
+
+(This may be overly cautious. We don't know of any examples where a
+compiler has augmented a store with a load in this fashion, and the
+Linux kernel developers would probably fight pretty hard to change a
+compiler if it ever did this. Still, better safe than sorry.)
+
+Incidentally, the other tranformation -- augmenting a plain load by
+adding in a store to the same location -- is not allowed. This is
+because the compiler cannot know whether any other CPUs might perform
+a concurrent load from that location. Two concurrent loads don't
+constitute a race (they can't interfere with each other), but a store
+does race with a concurrent load. Thus adding a store might create a
+data race where one was not already present in the source code,
+something the compiler is forbidden to do. Augmenting a store with a
+load, on the other hand, is acceptable because doing so won't create a
+data race unless one already existed.
+
+The LKMM includes a second way to pre-bound plain accesses, in
+addition to fences: an address dependency from a marked load. That
+is, in the sequence:
+
+ p = READ_ONCE(ptr);
+ r = *p;
+
+the LKMM says that the marked load of ptr pre-bounds the plain load of
+*p; the marked load must execute before any of the machine
+instructions corresponding to the plain load. This is a reasonable
+stipulation, since after all, the CPU can't perform the load of *p
+until it knows what value p will hold. Furthermore, without some
+assumption like this one, some usages typical of RCU would count as
+data races. For example:
+
+ int a = 1, b;
+ int *ptr = &a;
+
+ P0()
+ {
+ b = 2;
+ rcu_assign_pointer(ptr, &b);
+ }
+
+ P1()
+ {
+ int *p;
+ int r;
+
+ rcu_read_lock();
+ p = rcu_dereference(ptr);
+ r = *p;
+ rcu_read_unlock();
+ }
+
+(In this example the rcu_read_lock() and rcu_read_unlock() calls don't
+really do anything, because there aren't any grace periods. They are
+included merely for the sake of good form; typically P0 would call
+synchronize_rcu() somewhere after the rcu_assign_pointer().)
+
+rcu_assign_pointer() performs a store-release, so the plain store to b
+is definitely w-post-bounded before the store to ptr, and the two
+stores will propagate to P1 in that order. However, rcu_dereference()
+is only equivalent to READ_ONCE(). While it is a marked access, it is
+not a fence or compiler barrier. Hence the only guarantee we have
+that the load of ptr in P1 is r-pre-bounded before the load of *p
+(thus avoiding a race) is the assumption about address dependencies.
+
+This is a situation where the compiler can undermine the memory model,
+and a certain amount of care is required when programming constructs
+like this one. In particular, comparisons between the pointer and
+other known addresses can cause trouble. If you have something like:
+
+ p = rcu_dereference(ptr);
+ if (p == &x)
+ r = *p;
+
+then the compiler just might generate object code resembling:
+
+ p = rcu_dereference(ptr);
+ if (p == &x)
+ r = x;
+
+or even:
+
+ rtemp = x;
+ p = rcu_dereference(ptr);
+ if (p == &x)
+ r = rtemp;
+
+which would invalidate the memory model's assumption, since the CPU
+could now perform the load of x before the load of ptr (there might be
+a control dependency but no address dependency at the machine level).
+
+Finally, it turns out there is a situation in which a plain write does
+not need to be w-post-bounded: when it is separated from the
+conflicting access by a fence. At first glance this may seem
+impossible. After all, to be conflicting the second access has to be
+on a different CPU from the first, and fences don't link events on
+different CPUs. Well, normal fences don't -- but rcu-fence can!
+Here's an example:
+
+ int x, y;
+
+ P0()
+ {
+ WRITE_ONCE(x, 1);
+ synchronize_rcu();
+ y = 3;
+ }
+
+ P1()
+ {
+ rcu_read_lock();
+ if (READ_ONCE(x) == 0)
+ y = 2;
+ rcu_read_unlock();
+ }
+
+Do the plain stores to y race? Clearly not if P1 reads a non-zero
+value for x, so let's assume the READ_ONCE(x) does obtain 0. This
+means that the read-side critical section in P1 must finish executing
+before the grace period in P0 does, because RCU's Grace-Period
+Guarantee says that otherwise P0's store to x would have propagated to
+P1 before the critical section started and so would have been visible
+to the READ_ONCE(). (Another way of putting it is that the fre link
+from the READ_ONCE() to the WRITE_ONCE() gives rise to an rcu-link
+between those two events.)
+
+This means there is an rcu-fence link from P1's "y = 2" store to P0's
+"y = 3" store, and consequently the first must propagate from P1 to P0
+before the second can execute. Therefore the two stores cannot be
+concurrent and there is no race, even though P1's plain store to y
+isn't w-post-bounded by any marked accesses.
+
+Putting all this material together yields the following picture. For
+two conflicting stores W and W', where W ->co W', the LKMM says the
+stores don't race if W can be linked to W' by a
+
+ w-post-bounded ; vis ; w-pre-bounded
+
+sequence. If W is plain then they also have to be linked by an
+
+ r-post-bounded ; xb* ; w-pre-bounded
+
+sequence, and if W' is plain then they also have to be linked by a
+
+ w-post-bounded ; vis ; r-pre-bounded
+
+sequence. For a conflicting load R and store W, the LKMM says the two
+accesses don't race if R can be linked to W by an
+
+ r-post-bounded ; xb* ; w-pre-bounded
+
+sequence or if W can be linked to R by a
+
+ w-post-bounded ; vis ; r-pre-bounded
+
+sequence. For the cases involving a vis link, the LKMM also accepts
+sequences in which W is linked to W' or R by a
+
+ strong-fence ; xb* ; {w and/or r}-pre-bounded
+
+sequence with no post-bounding, and in every case the LKMM also allows
+the link simply to be a fence with no bounding at all. If no sequence
+of the appropriate sort exists, the LKMM says that the accesses race.
+
+There is one more part of the LKMM related to plain accesses (although
+not to data races) we should discuss. Recall that many relations such
+as hb are limited to marked accesses only. As a result, the
+happens-before, propagates-before, and rcu axioms (which state that
+various relation must not contain a cycle) doesn't apply to plain
+accesses. Nevertheless, we do want to rule out such cycles, because
+they don't make sense even for plain accesses.
+
+To this end, the LKMM imposes three extra restrictions, together
+called the "plain-coherence" axiom because of their resemblance to the
+rules used by the operational model to ensure cache coherence (that
+is, the rules governing the memory subsystem's choice of a store to
+satisfy a load request and its determination of where a store will
+fall in the coherence order):
+
+ If R and W conflict and it is possible to link R to W by one
+ of the xb* sequences listed above, then W ->rfe R is not
+ allowed (i.e., a load cannot read from a store that it
+ executes before, even if one or both is plain).
+
+ If W and R conflict and it is possible to link W to R by one
+ of the vis sequences listed above, then R ->fre W is not
+ allowed (i.e., if a store is visible to a load then the load
+ must read from that store or one coherence-after it).
+
+ If W and W' conflict and it is possible to link W to W' by one
+ of the vis sequences listed above, then W' ->co W is not
+ allowed (i.e., if one store is visible to a second then the
+ second must come after the first in the coherence order).
+
+This is the extent to which the LKMM deals with plain accesses.
+Perhaps it could say more (for example, plain accesses might
+contribute to the ppo relation), but at the moment it seems that this
+minimal, conservative approach is good enough.
+
+
ODDS AND ENDS
-------------
@@ -1943,6 +2481,16 @@ treated as READ_ONCE() and rcu_assign_pointer() is treated as
smp_store_release() -- which is basically how the Linux kernel treats
them.
+Although we said that plain accesses are not linked by the ppo
+relation, they do contribute to it indirectly. Namely, when there is
+an address dependency from a marked load R to a plain store W,
+followed by smp_wmb() and then a marked store W', the LKMM creates a
+ppo link from R to W'. The reasoning behind this is perhaps a little
+shaky, but essentially it says there is no way to generate object code
+for this source code in which W' could execute before R. Just as with
+pre-bounding by address dependencies, it is possible for the compiler
+to undermine this relation if sufficient care is not taken.
+
There are a few oddball fences which need special treatment:
smp_mb__before_atomic(), smp_mb__after_atomic(), and
smp_mb__after_spinlock(). The LKMM uses fence events with special