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authorDaniel Baumann <daniel.baumann@progress-linux.org>2024-05-06 01:02:30 +0000
committerDaniel Baumann <daniel.baumann@progress-linux.org>2024-05-06 01:02:30 +0000
commit76cb841cb886eef6b3bee341a2266c76578724ad (patch)
treef5892e5ba6cc11949952a6ce4ecbe6d516d6ce58 /tools/memory-model
parentInitial commit. (diff)
downloadlinux-76cb841cb886eef6b3bee341a2266c76578724ad.tar.xz
linux-76cb841cb886eef6b3bee341a2266c76578724ad.zip
Adding upstream version 4.19.249.upstream/4.19.249upstream
Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>
Diffstat (limited to 'tools/memory-model')
-rw-r--r--tools/memory-model/Documentation/cheatsheet.txt30
-rw-r--r--tools/memory-model/Documentation/explanation.txt1896
-rw-r--r--tools/memory-model/Documentation/recipes.txt570
-rw-r--r--tools/memory-model/Documentation/references.txt114
-rw-r--r--tools/memory-model/README206
-rw-r--r--tools/memory-model/linux-kernel.bell52
-rw-r--r--tools/memory-model/linux-kernel.cat128
-rw-r--r--tools/memory-model/linux-kernel.cfg21
-rw-r--r--tools/memory-model/linux-kernel.def108
-rw-r--r--tools/memory-model/litmus-tests/.gitignore1
-rw-r--r--tools/memory-model/litmus-tests/CoRR+poonceonce+Once.litmus26
-rw-r--r--tools/memory-model/litmus-tests/CoRW+poonceonce+Once.litmus25
-rw-r--r--tools/memory-model/litmus-tests/CoWR+poonceonce+Once.litmus25
-rw-r--r--tools/memory-model/litmus-tests/CoWW+poonceonce.litmus18
-rw-r--r--tools/memory-model/litmus-tests/IRIW+fencembonceonces+OnceOnce.litmus45
-rw-r--r--tools/memory-model/litmus-tests/IRIW+poonceonces+OnceOnce.litmus43
-rw-r--r--tools/memory-model/litmus-tests/ISA2+pooncelock+pooncelock+pombonce.litmus41
-rw-r--r--tools/memory-model/litmus-tests/ISA2+poonceonces.litmus37
-rw-r--r--tools/memory-model/litmus-tests/ISA2+pooncerelease+poacquirerelease+poacquireonce.litmus39
-rw-r--r--tools/memory-model/litmus-tests/LB+fencembonceonce+ctrlonceonce.litmus34
-rw-r--r--tools/memory-model/litmus-tests/LB+poacquireonce+pooncerelease.litmus29
-rw-r--r--tools/memory-model/litmus-tests/LB+poonceonces.litmus28
-rw-r--r--tools/memory-model/litmus-tests/MP+fencewmbonceonce+fencermbonceonce.litmus30
-rw-r--r--tools/memory-model/litmus-tests/MP+onceassign+derefonce.litmus34
-rw-r--r--tools/memory-model/litmus-tests/MP+polockmbonce+poacquiresilsil.litmus35
-rw-r--r--tools/memory-model/litmus-tests/MP+polockonce+poacquiresilsil.litmus34
-rw-r--r--tools/memory-model/litmus-tests/MP+polocks.litmus35
-rw-r--r--tools/memory-model/litmus-tests/MP+poonceonces.litmus27
-rw-r--r--tools/memory-model/litmus-tests/MP+pooncerelease+poacquireonce.litmus28
-rw-r--r--tools/memory-model/litmus-tests/MP+porevlocks.litmus35
-rw-r--r--tools/memory-model/litmus-tests/R+fencembonceonces.litmus30
-rw-r--r--tools/memory-model/litmus-tests/R+poonceonces.litmus27
-rw-r--r--tools/memory-model/litmus-tests/README153
-rw-r--r--tools/memory-model/litmus-tests/S+fencewmbonceonce+poacquireonce.litmus27
-rw-r--r--tools/memory-model/litmus-tests/S+poonceonces.litmus28
-rw-r--r--tools/memory-model/litmus-tests/SB+fencembonceonces.litmus32
-rw-r--r--tools/memory-model/litmus-tests/SB+poonceonces.litmus29
-rw-r--r--tools/memory-model/litmus-tests/SB+rfionceonce-poonceonces.litmus32
-rw-r--r--tools/memory-model/litmus-tests/WRC+poonceonces+Once.litmus35
-rw-r--r--tools/memory-model/litmus-tests/WRC+pooncerelease+fencermbonceonce+Once.litmus38
-rw-r--r--tools/memory-model/litmus-tests/Z6.0+pooncelock+poonceLock+pombonce.litmus42
-rw-r--r--tools/memory-model/litmus-tests/Z6.0+pooncelock+pooncelock+pombonce.litmus40
-rw-r--r--tools/memory-model/litmus-tests/Z6.0+pooncerelease+poacquirerelease+fencembonceonce.litmus42
-rw-r--r--tools/memory-model/lock.cat146
-rwxr-xr-xtools/memory-model/scripts/checkalllitmus.sh73
-rwxr-xr-xtools/memory-model/scripts/checklitmus.sh86
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diff --git a/tools/memory-model/Documentation/cheatsheet.txt b/tools/memory-model/Documentation/cheatsheet.txt
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index 000000000..33ba98d72
--- /dev/null
+++ b/tools/memory-model/Documentation/cheatsheet.txt
@@ -0,0 +1,30 @@
+ Prior Operation Subsequent Operation
+ --------------- ---------------------------
+ C Self R W RMW Self R W DR DW RMW SV
+ -- ---- - - --- ---- - - -- -- --- --
+
+Store, e.g., WRITE_ONCE() Y Y
+Load, e.g., READ_ONCE() Y Y Y Y
+Unsuccessful RMW operation Y Y Y Y
+rcu_dereference() Y Y Y Y
+Successful *_acquire() R Y Y Y Y Y Y
+Successful *_release() C Y Y Y W Y
+smp_rmb() Y R Y Y R
+smp_wmb() Y W Y Y W
+smp_mb() & synchronize_rcu() CP Y Y Y Y Y Y Y Y
+Successful full non-void RMW CP Y Y Y Y Y Y Y Y Y Y Y
+smp_mb__before_atomic() CP Y Y Y a a a a Y
+smp_mb__after_atomic() CP a a Y Y Y Y Y Y
+
+
+Key: C: Ordering is cumulative
+ P: Ordering propagates
+ R: Read, for example, READ_ONCE(), or read portion of RMW
+ W: Write, for example, WRITE_ONCE(), or write portion of RMW
+ Y: Provides ordering
+ a: Provides ordering given intervening RMW atomic operation
+ DR: Dependent read (address dependency)
+ DW: Dependent write (address, data, or control dependency)
+ RMW: Atomic read-modify-write operation
+ SELF: Orders self, as opposed to accesses before and/or after
+ SV: Orders later accesses to the same variable
diff --git a/tools/memory-model/Documentation/explanation.txt b/tools/memory-model/Documentation/explanation.txt
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+Explanation of the Linux-Kernel Memory Consistency Model
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+:Author: Alan Stern <stern@rowland.harvard.edu>
+:Created: October 2017
+
+.. Contents
+
+ 1. INTRODUCTION
+ 2. BACKGROUND
+ 3. A SIMPLE EXAMPLE
+ 4. A SELECTION OF MEMORY MODELS
+ 5. ORDERING AND CYCLES
+ 6. EVENTS
+ 7. THE PROGRAM ORDER RELATION: po AND po-loc
+ 8. A WARNING
+ 9. DEPENDENCY RELATIONS: data, addr, and ctrl
+ 10. THE READS-FROM RELATION: rf, rfi, and rfe
+ 11. CACHE COHERENCE AND THE COHERENCE ORDER RELATION: co, coi, and coe
+ 12. THE FROM-READS RELATION: fr, fri, and fre
+ 13. AN OPERATIONAL MODEL
+ 14. PROPAGATION ORDER RELATION: cumul-fence
+ 15. DERIVATION OF THE LKMM FROM THE OPERATIONAL MODEL
+ 16. SEQUENTIAL CONSISTENCY PER VARIABLE
+ 17. ATOMIC UPDATES: rmw
+ 18. THE PRESERVED PROGRAM ORDER RELATION: ppo
+ 19. AND THEN THERE WAS ALPHA
+ 20. THE HAPPENS-BEFORE RELATION: hb
+ 21. THE PROPAGATES-BEFORE RELATION: pb
+ 22. RCU RELATIONS: rcu-link, gp, rscs, rcu-fence, and rb
+ 23. ODDS AND ENDS
+
+
+
+INTRODUCTION
+------------
+
+The Linux-kernel memory consistency model (LKMM) is rather complex and
+obscure. This is particularly evident if you read through the
+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. 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.
+
+Sections 2 (BACKGROUND) through 5 (ORDERING AND CYCLES) are aimed
+toward beginners; they explain what memory consistency models are and
+the basic notions shared by all such models. People already familiar
+with these concepts can skim or skip over them. Sections 6 (EVENTS)
+through 12 (THE FROM_READS RELATION) describe the fundamental
+relations used in many models. Starting in Section 13 (AN OPERATIONAL
+MODEL), the workings of the LKMM itself are covered.
+
+Warning: The code examples in this document are not written in the
+proper format for litmus tests. They don't include a header line, the
+initializations are not enclosed in braces, the global variables are
+not passed by pointers, and they don't have an "exists" clause at the
+end. Converting them to the right format is left as an exercise for
+the reader.
+
+
+BACKGROUND
+----------
+
+A memory consistency model (or just memory model, for short) is
+something which predicts, given a piece of computer code running on a
+particular kind of system, what values may be obtained by the code's
+load instructions. The LKMM makes these predictions for code running
+as part of the Linux kernel.
+
+In practice, people tend to use memory models the other way around.
+That is, given a piece of code and a collection of values specified
+for the loads, the model will predict whether it is possible for the
+code to run in such a way that the loads will indeed obtain the
+specified values. Of course, this is just another way of expressing
+the same idea.
+
+For code running on a uniprocessor system, the predictions are easy:
+Each load instruction must obtain the value written by the most recent
+store instruction accessing the same location (we ignore complicating
+factors such as DMA and mixed-size accesses.) But on multiprocessor
+systems, with multiple CPUs making concurrent accesses to shared
+memory locations, things aren't so simple.
+
+Different architectures have differing memory models, and the Linux
+kernel supports a variety of architectures. The LKMM has to be fairly
+permissive, in the sense that any behavior allowed by one of these
+architectures also has to be allowed by the LKMM.
+
+
+A SIMPLE EXAMPLE
+----------------
+
+Here is a simple example to illustrate the basic concepts. Consider
+some code running as part of a device driver for an input device. The
+driver might contain an interrupt handler which collects data from the
+device, stores it in a buffer, and sets a flag to indicate the buffer
+is full. Running concurrently on a different CPU might be a part of
+the driver code being executed by a process in the midst of a read(2)
+system call. This code tests the flag to see whether the buffer is
+ready, and if it is, copies the data back to userspace. The buffer
+and the flag are memory locations shared between the two CPUs.
+
+We can abstract out the important pieces of the driver code as follows
+(the reason for using WRITE_ONCE() and READ_ONCE() instead of simple
+assignment statements is discussed later):
+
+ int buf = 0, flag = 0;
+
+ P0()
+ {
+ WRITE_ONCE(buf, 1);
+ WRITE_ONCE(flag, 1);
+ }
+
+ P1()
+ {
+ int r1;
+ int r2 = 0;
+
+ r1 = READ_ONCE(flag);
+ if (r1)
+ r2 = READ_ONCE(buf);
+ }
+
+Here the P0() function represents the interrupt handler running on one
+CPU and P1() represents the read() routine running on another. The
+value 1 stored in buf represents input data collected from the device.
+Thus, P0 stores the data in buf and then sets flag. Meanwhile, P1
+reads flag into the private variable r1, and if it is set, reads the
+data from buf into a second private variable r2 for copying to
+userspace. (Presumably if flag is not set then the driver will wait a
+while and try again.)
+
+This pattern of memory accesses, where one CPU stores values to two
+shared memory locations and another CPU loads from those locations in
+the opposite order, is widely known as the "Message Passing" or MP
+pattern. It is typical of memory access patterns in the kernel.
+
+Please note that this example code is a simplified abstraction. Real
+buffers are usually larger than a single integer, real device drivers
+usually use sleep and wakeup mechanisms rather than polling for I/O
+completion, and real code generally doesn't bother to copy values into
+private variables before using them. All that is beside the point;
+the idea here is simply to illustrate the overall pattern of memory
+accesses by the CPUs.
+
+A memory model will predict what values P1 might obtain for its loads
+from flag and buf, or equivalently, what values r1 and r2 might end up
+with after the code has finished running.
+
+Some predictions are trivial. For instance, no sane memory model would
+predict that r1 = 42 or r2 = -7, because neither of those values ever
+gets stored in flag or buf.
+
+Some nontrivial predictions are nonetheless quite simple. For
+instance, P1 might run entirely before P0 begins, in which case r1 and
+r2 will both be 0 at the end. Or P0 might run entirely before P1
+begins, in which case r1 and r2 will both be 1.
+
+The interesting predictions concern what might happen when the two
+routines run concurrently. One possibility is that P1 runs after P0's
+store to buf but before the store to flag. In this case, r1 and r2
+will again both be 0. (If P1 had been designed to read buf
+unconditionally then we would instead have r1 = 0 and r2 = 1.)
+
+However, the most interesting possibility is where r1 = 1 and r2 = 0.
+If this were to occur it would mean the driver contains a bug, because
+incorrect data would get sent to the user: 0 instead of 1. As it
+happens, the LKMM does predict this outcome can occur, and the example
+driver code shown above is indeed buggy.
+
+
+A SELECTION OF MEMORY MODELS
+----------------------------
+
+The first widely cited memory model, and the simplest to understand,
+is Sequential Consistency. According to this model, systems behave as
+if each CPU executed its instructions in order but with unspecified
+timing. In other words, the instructions from the various CPUs get
+interleaved in a nondeterministic way, always according to some single
+global order that agrees with the order of the instructions in the
+program source for each CPU. The model says that the value obtained
+by each load is simply the value written by the most recently executed
+store to the same memory location, from any CPU.
+
+For the MP example code shown above, Sequential Consistency predicts
+that the undesired result r1 = 1, r2 = 0 cannot occur. The reasoning
+goes like this:
+
+ Since r1 = 1, P0 must store 1 to flag before P1 loads 1 from
+ it, as loads can obtain values only from earlier stores.
+
+ P1 loads from flag before loading from buf, since CPUs execute
+ their instructions in order.
+
+ P1 must load 0 from buf before P0 stores 1 to it; otherwise r2
+ would be 1 since a load obtains its value from the most recent
+ store to the same address.
+
+ 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
+ execute before itself, the specified outcome is impossible.
+
+However, real computer hardware almost never follows the Sequential
+Consistency memory model; doing so would rule out too many valuable
+performance optimizations. On ARM and PowerPC architectures, for
+instance, the MP example code really does sometimes yield r1 = 1 and
+r2 = 0.
+
+x86 and SPARC follow yet a different memory model: TSO (Total Store
+Ordering). This model predicts that the undesired outcome for the MP
+pattern cannot occur, but in other respects it differs from Sequential
+Consistency. One example is the Store Buffer (SB) pattern, in which
+each CPU stores to its own shared location and then loads from the
+other CPU's location:
+
+ int x = 0, y = 0;
+
+ P0()
+ {
+ int r0;
+
+ WRITE_ONCE(x, 1);
+ r0 = READ_ONCE(y);
+ }
+
+ P1()
+ {
+ int r1;
+
+ WRITE_ONCE(y, 1);
+ r1 = READ_ONCE(x);
+ }
+
+Sequential Consistency predicts that the outcome r0 = 0, r1 = 0 is
+impossible. (Exercise: Figure out the reasoning.) But TSO allows
+this outcome to occur, and in fact it does sometimes occur on x86 and
+SPARC systems.
+
+The LKMM was inspired by the memory models followed by PowerPC, ARM,
+x86, Alpha, and other architectures. However, it is different in
+detail from each of them.
+
+
+ORDERING AND CYCLES
+-------------------
+
+Memory models are all about ordering. Often this is temporal ordering
+(i.e., the order in which certain events occur) but it doesn't have to
+be; consider for example the order of instructions in a program's
+source code. We saw above that Sequential Consistency makes an
+important assumption that CPUs execute instructions in the same order
+as those instructions occur in the code, and there are many other
+instances of ordering playing central roles in memory models.
+
+The counterpart to ordering is a cycle. Ordering rules out cycles:
+It's not possible to have X ordered before Y, Y ordered before Z, and
+Z ordered before X, because this would mean that X is ordered before
+itself. The analysis of the MP example under Sequential Consistency
+involved just such an impossible cycle:
+
+ W: P0 stores 1 to flag executes before
+ X: P1 loads 1 from flag executes before
+ Y: P1 loads 0 from buf executes before
+ Z: P0 stores 1 to buf executes before
+ W: P0 stores 1 to flag.
+
+In short, if a memory model requires certain accesses to be ordered,
+and a certain outcome for the loads in a piece of code can happen only
+if those accesses would form a cycle, then the memory model predicts
+that outcome cannot occur.
+
+The LKMM is defined largely in terms of cycles, as we will see.
+
+
+EVENTS
+------
+
+The LKMM does not work directly with the C statements that make up
+kernel source code. Instead it considers the effects of those
+statements in a more abstract form, namely, events. The model
+includes three types of events:
+
+ Read events correspond to loads from shared memory, such as
+ calls to READ_ONCE(), smp_load_acquire(), or
+ rcu_dereference().
+
+ Write events correspond to stores to shared memory, such as
+ calls to WRITE_ONCE(), smp_store_release(), or atomic_set().
+
+ Fence events correspond to memory barriers (also known as
+ fences), such as calls to smp_rmb() or rcu_read_lock().
+
+These categories are not exclusive; a read or write event can also be
+a fence. This happens with functions like smp_load_acquire() or
+spin_lock(). However, no single event can be both a read and a write.
+Atomic read-modify-write accesses, such as atomic_inc() or xchg(),
+correspond to a pair of events: a read followed by a write. (The
+write event is omitted for executions where it doesn't occur, such as
+a cmpxchg() where the comparison fails.)
+
+Other parts of the code, those which do not involve interaction with
+shared memory, do not give rise to events. Thus, arithmetic and
+logical computations, control-flow instructions, or accesses to
+private memory or CPU registers are not of central interest to the
+memory model. They only affect the model's predictions indirectly.
+For example, an arithmetic computation might determine the value that
+gets stored to a shared memory location (or in the case of an array
+index, the address where the value gets stored), but the memory model
+is concerned only with the store itself -- its value and its address
+-- not the computation leading up to it.
+
+Events in the LKMM can be linked by various relations, which we will
+describe in the following sections. The memory model requires certain
+of these relations to be orderings, that is, it requires them not to
+have any cycles.
+
+
+THE PROGRAM ORDER RELATION: po AND po-loc
+-----------------------------------------
+
+The most important relation between events is program order (po). You
+can think of it as the order in which statements occur in the source
+code after branches are taken into account and loops have been
+unrolled. A better description might be the order in which
+instructions are presented to a CPU's execution unit. Thus, we say
+that X is po-before Y (written as "X ->po Y" in formulas) if X occurs
+before Y in the instruction stream.
+
+This is inherently a single-CPU relation; two instructions executing
+on different CPUs are never linked by po. Also, it is by definition
+an ordering so it cannot have any cycles.
+
+po-loc is a sub-relation of po. It links two memory accesses when the
+first comes before the second in program order and they access the
+same memory location (the "-loc" suffix).
+
+Although this may seem straightforward, there is one subtle aspect to
+program order we need to explain. The LKMM was inspired by low-level
+architectural memory models which describe the behavior of machine
+code, and it retains their outlook to a considerable extent. The
+read, write, and fence events used by the model are close in spirit to
+individual machine instructions. Nevertheless, the LKMM describes
+kernel code written in C, and the mapping from C to machine code can
+be extremely complex.
+
+Optimizing compilers have great freedom in the way they translate
+source code to object code. They are allowed to apply transformations
+that add memory accesses, eliminate accesses, combine them, split them
+into pieces, or move them around. Faced with all these possibilities,
+the LKMM basically gives up. It insists that the code it analyzes
+must contain no ordinary accesses to shared memory; all accesses must
+be performed using READ_ONCE(), WRITE_ONCE(), or one of the other
+atomic or synchronization primitives. These primitives prevent a
+large number of compiler optimizations. In particular, it is
+guaranteed that the compiler will not remove such accesses from the
+generated code (unless it can prove the accesses will never be
+executed), it will not change the order in which they occur in the
+code (within limits imposed by the C standard), and it will not
+introduce extraneous accesses.
+
+This explains why the MP and SB examples above used READ_ONCE() and
+WRITE_ONCE() rather than ordinary memory accesses. Thanks to this
+usage, we can be certain that in the MP example, P0's write event to
+buf really is po-before its write event to flag, and similarly for the
+other shared memory accesses in the examples.
+
+Private variables are not subject to this restriction. Since they are
+not shared between CPUs, they can be accessed normally without
+READ_ONCE() or WRITE_ONCE(), and there will be no ill effects. In
+fact, they need not even be stored in normal memory at all -- in
+principle a private variable could be stored in a CPU register (hence
+the convention that these variables have names starting with the
+letter 'r').
+
+
+A WARNING
+---------
+
+The protections provided by READ_ONCE(), WRITE_ONCE(), and others are
+not perfect; and under some circumstances it is possible for the
+compiler to undermine the memory model. Here is an example. Suppose
+both branches of an "if" statement store the same value to the same
+location:
+
+ r1 = READ_ONCE(x);
+ if (r1) {
+ WRITE_ONCE(y, 2);
+ ... /* do something */
+ } else {
+ WRITE_ONCE(y, 2);
+ ... /* do something else */
+ }
+
+For this code, the LKMM predicts that the load from x will always be
+executed before either of the stores to y. However, a compiler could
+lift the stores out of the conditional, transforming the code into
+something resembling:
+
+ r1 = READ_ONCE(x);
+ WRITE_ONCE(y, 2);
+ if (r1) {
+ ... /* do something */
+ } else {
+ ... /* do something else */
+ }
+
+Given this version of the code, the LKMM would predict that the load
+from x could be executed after the store to y. Thus, the memory
+model's original prediction could be invalidated by the compiler.
+
+Another issue arises from the fact that in C, arguments to many
+operators and function calls can be evaluated in any order. For
+example:
+
+ r1 = f(5) + g(6);
+
+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
+compiler might even interleave their object code.)
+
+
+DEPENDENCY RELATIONS: data, addr, and ctrl
+------------------------------------------
+
+We say that two events are linked by a dependency relation when the
+execution of the second event depends in some way on a value obtained
+from memory by the first. The first event must be a read, and the
+value it obtains must somehow affect what the second event does.
+There are three kinds of dependencies: data, address (addr), and
+control (ctrl).
+
+A read and a write event are linked by a data dependency if the value
+obtained by the read affects the value stored by the write. As a very
+simple example:
+
+ int x, y;
+
+ r1 = READ_ONCE(x);
+ WRITE_ONCE(y, r1 + 5);
+
+The value stored by the WRITE_ONCE obviously depends on the value
+loaded by the READ_ONCE. Such dependencies can wind through
+arbitrarily complicated computations, and a write can depend on the
+values of multiple reads.
+
+A read event and another memory access event are linked by an address
+dependency if the value obtained by the read affects the location
+accessed by the other event. The second event can be either a read or
+a write. Here's another simple example:
+
+ int a[20];
+ int i;
+
+ r1 = READ_ONCE(i);
+ r2 = READ_ONCE(a[r1]);
+
+Here the location accessed by the second READ_ONCE() depends on the
+index value loaded by the first. Pointer indirection also gives rise
+to address dependencies, since the address of a location accessed
+through a pointer will depend on the value read earlier from that
+pointer.
+
+Finally, a read event and another memory access event are linked by a
+control dependency if the value obtained by the read affects whether
+the second event is executed at all. Simple example:
+
+ int x, y;
+
+ r1 = READ_ONCE(x);
+ if (r1)
+ WRITE_ONCE(y, 1984);
+
+Execution of the WRITE_ONCE() is controlled by a conditional expression
+which depends on the value obtained by the READ_ONCE(); hence there is
+a control dependency from the load to the store.
+
+It should be pretty obvious that events can only depend on reads that
+come earlier in program order. Symbolically, if we have R ->data X,
+R ->addr X, or R ->ctrl X (where R is a read event), then we must also
+have R ->po X. It wouldn't make sense for a computation to depend
+somehow on a value that doesn't get loaded from shared memory until
+later in the code!
+
+
+THE READS-FROM RELATION: rf, rfi, and rfe
+-----------------------------------------
+
+The reads-from relation (rf) links a write event to a read event when
+the value loaded by the read is the value that was stored by the
+write. In colloquial terms, the load "reads from" the store. We
+write W ->rf R to indicate that the load R reads from the store W. We
+further distinguish the cases where the load and the store occur on
+the same CPU (internal reads-from, or rfi) and where they occur on
+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.
+
+Usage of the rf relation implicitly assumes that loads will always
+read from a single store. It doesn't apply properly in the presence
+of load-tearing, where a load obtains some of its bits from one store
+and some of them from another store. Fortunately, use of READ_ONCE()
+and WRITE_ONCE() will prevent load-tearing; it's not possible to have:
+
+ int x = 0;
+
+ P0()
+ {
+ WRITE_ONCE(x, 0x1234);
+ }
+
+ P1()
+ {
+ int r1;
+
+ r1 = READ_ONCE(x);
+ }
+
+and end up with r1 = 0x1200 (partly from x's initial value and partly
+from the value stored by P0).
+
+On the other hand, load-tearing is unavoidable when mixed-size
+accesses are used. Consider this example:
+
+ union {
+ u32 w;
+ u16 h[2];
+ } x;
+
+ P0()
+ {
+ WRITE_ONCE(x.h[0], 0x1234);
+ WRITE_ONCE(x.h[1], 0x5678);
+ }
+
+ P1()
+ {
+ int r1;
+
+ r1 = READ_ONCE(x.w);
+ }
+
+If r1 = 0x56781234 (little-endian!) at the end, then P1 must have read
+from both of P0's stores. It is possible to handle mixed-size and
+unaligned accesses in a memory model, but the LKMM currently does not
+attempt to do so. It requires all accesses to be properly aligned and
+of the location's actual size.
+
+
+CACHE COHERENCE AND THE COHERENCE ORDER RELATION: co, coi, and coe
+------------------------------------------------------------------
+
+Cache coherence is a general principle requiring that in a
+multi-processor system, the CPUs must share a consistent view of the
+memory contents. Specifically, it requires that for each location in
+shared memory, the stores to that location must form a single global
+ordering which all the CPUs agree on (the coherence order), and this
+ordering must be consistent with the program order for accesses to
+that location.
+
+To put it another way, for any variable x, the coherence order (co) of
+the stores to x is simply the order in which the stores overwrite one
+another. The imaginary store which establishes x's initial value
+comes first in the coherence order; the store which directly
+overwrites the initial value comes second; the store which overwrites
+that value comes third, and so on.
+
+You can think of the coherence order as being the order in which the
+stores reach x's location in memory (or if you prefer a more
+hardware-centric view, the order in which the stores get written to
+x's cache line). We write W ->co W' if W comes before W' in the
+coherence order, that is, if the value stored by W gets overwritten,
+directly or indirectly, by the value stored by W'.
+
+Coherence order is required to be consistent with program order. This
+requirement takes the form of four coherency rules:
+
+ Write-write coherence: If W ->po-loc W' (i.e., W comes before
+ W' in program order and they access the same location), where W
+ and W' are two stores, then W ->co W'.
+
+ Write-read coherence: If W ->po-loc R, where W is a store and R
+ is a load, then R must read from W or from some other store
+ which comes after W in the coherence order.
+
+ Read-write coherence: If R ->po-loc W, where R is a load and W
+ is a store, then the store which R reads from must come before
+ W in the coherence order.
+
+ Read-read coherence: If R ->po-loc R', where R and R' are two
+ loads, then either they read from the same store or else the
+ store read by R comes before the store read by R' in the
+ coherence order.
+
+This is sometimes referred to as sequential consistency per variable,
+because it means that the accesses to any single memory location obey
+the rules of the Sequential Consistency memory model. (According to
+Wikipedia, sequential consistency per variable and cache coherence
+mean the same thing except that cache coherence includes an extra
+requirement that every store eventually becomes visible to every CPU.)
+
+Any reasonable memory model will include cache coherence. Indeed, our
+expectation of cache coherence is so deeply ingrained that violations
+of its requirements look more like hardware bugs than programming
+errors:
+
+ int x;
+
+ P0()
+ {
+ WRITE_ONCE(x, 17);
+ WRITE_ONCE(x, 23);
+ }
+
+If the final value stored in x after this code ran was 17, you would
+think your computer was broken. It would be a violation of the
+write-write coherence rule: Since the store of 23 comes later in
+program order, it must also come later in x's coherence order and
+thus must overwrite the store of 17.
+
+ int x = 0;
+
+ P0()
+ {
+ int r1;
+
+ r1 = READ_ONCE(x);
+ WRITE_ONCE(x, 666);
+ }
+
+If r1 = 666 at the end, this would violate the read-write coherence
+rule: The READ_ONCE() load comes before the WRITE_ONCE() store in
+program order, so it must not read from that store but rather from one
+coming earlier in the coherence order (in this case, x's initial
+value).
+
+ int x = 0;
+
+ P0()
+ {
+ WRITE_ONCE(x, 5);
+ }
+
+ P1()
+ {
+ int r1, r2;
+
+ r1 = READ_ONCE(x);
+ r2 = READ_ONCE(x);
+ }
+
+If r1 = 5 (reading from P0's store) and r2 = 0 (reading from the
+imaginary store which establishes x's initial value) at the end, this
+would violate the read-read coherence rule: The r1 load comes before
+the r2 load in program order, so it must not read from a store that
+comes later in the coherence order.
+
+(As a minor curiosity, if this code had used normal loads instead of
+READ_ONCE() in P1, on Itanium it sometimes could end up with r1 = 5
+and r2 = 0! This results from parallel execution of the operations
+encoded in Itanium's Very-Long-Instruction-Word format, and it is yet
+another motivation for using READ_ONCE() when accessing shared memory
+locations.)
+
+Just like the po relation, co is inherently an ordering -- it is not
+possible for a store to directly or indirectly overwrite itself! And
+just like with the rf relation, we distinguish between stores that
+occur on the same CPU (internal coherence order, or coi) and stores
+that occur on different CPUs (external coherence order, or coe).
+
+On the other hand, stores to different memory locations are never
+related by co, just as instructions on different CPUs are never
+related by po. Coherence order is strictly per-location, or if you
+prefer, each location has its own independent coherence order.
+
+
+THE FROM-READS RELATION: fr, fri, and fre
+-----------------------------------------
+
+The from-reads relation (fr) can be a little difficult for people to
+grok. It describes the situation where a load reads a value that gets
+overwritten by a store. In other words, we have R ->fr W when the
+value that R reads is overwritten (directly or indirectly) by W, or
+equivalently, when R reads from a store which comes earlier than W in
+the coherence order.
+
+For example:
+
+ int x = 0;
+
+ P0()
+ {
+ int r1;
+
+ r1 = READ_ONCE(x);
+ WRITE_ONCE(x, 2);
+ }
+
+The value loaded from x will be 0 (assuming cache coherence!), and it
+gets overwritten by the value 2. Thus there is an fr link from the
+READ_ONCE() to the WRITE_ONCE(). If the code contained any later
+stores to x, there would also be fr links from the READ_ONCE() to
+them.
+
+As with rf, rfi, and rfe, we subdivide the fr relation into fri (when
+the load and the store are on the same CPU) and fre (when they are on
+different CPUs).
+
+Note that the fr relation is determined entirely by the rf and co
+relations; it is not independent. Given a read event R and a write
+event W for the same location, we will have R ->fr W if and only if
+the write which R reads from is co-before W. In symbols,
+
+ (R ->fr W) := (there exists W' with W' ->rf R and W' ->co W).
+
+
+AN OPERATIONAL MODEL
+--------------------
+
+The LKMM is based on various operational memory models, meaning that
+the models arise from an abstract view of how a computer system
+operates. Here are the main ideas, as incorporated into the LKMM.
+
+The system as a whole is divided into the CPUs and a memory subsystem.
+The CPUs are responsible for executing instructions (not necessarily
+in program order), and they communicate with the memory subsystem.
+For the most part, executing an instruction requires a CPU to perform
+only internal operations. However, loads, stores, and fences involve
+more.
+
+When CPU C executes a store instruction, it tells the memory subsystem
+to store a certain value at a certain location. The memory subsystem
+propagates the store to all the other CPUs as well as to RAM. (As a
+special case, we say that the store propagates to its own CPU at the
+time it is executed.) The memory subsystem also determines where the
+store falls in the location's coherence order. In particular, it must
+arrange for the store to be co-later than (i.e., to overwrite) any
+other store to the same location which has already propagated to CPU C.
+
+When a CPU executes a load instruction R, it first checks to see
+whether there are any as-yet unexecuted store instructions, for the
+same location, that come before R in program order. If there are, it
+uses the value of the po-latest such store as the value obtained by R,
+and we say that the store's value is forwarded to R. Otherwise, the
+CPU asks the memory subsystem for the value to load and we say that R
+is satisfied from memory. The memory subsystem hands back the value
+of the co-latest store to the location in question which has already
+propagated to that CPU.
+
+(In fact, the picture needs to be a little more complicated than this.
+CPUs have local caches, and propagating a store to a CPU really means
+propagating it to the CPU's local cache. A local cache can take some
+time to process the stores that it receives, and a store can't be used
+to satisfy one of the CPU's loads until it has been processed. On
+most architectures, the local caches process stores in
+First-In-First-Out order, and consequently the processing delay
+doesn't matter for the memory model. But on Alpha, the local caches
+have a partitioned design that results in non-FIFO behavior. We will
+discuss this in more detail later.)
+
+Note that load instructions may be executed speculatively and may be
+restarted under certain circumstances. The memory model ignores these
+premature executions; we simply say that the load executes at the
+final time it is forwarded or satisfied.
+
+Executing a fence (or memory barrier) instruction doesn't require a
+CPU to do anything special other than informing the memory subsystem
+about the fence. However, fences do constrain the way CPUs and the
+memory subsystem handle other instructions, in two respects.
+
+First, a fence forces the CPU to execute various instructions in
+program order. Exactly which instructions are ordered depends on the
+type of fence:
+
+ Strong fences, including smp_mb() and synchronize_rcu(), force
+ the CPU to execute all po-earlier instructions before any
+ po-later instructions;
+
+ smp_rmb() forces the CPU to execute all po-earlier loads
+ before any po-later loads;
+
+ smp_wmb() forces the CPU to execute all po-earlier stores
+ before any po-later stores;
+
+ Acquire fences, such as smp_load_acquire(), force the CPU to
+ execute the load associated with the fence (e.g., the load
+ part of an smp_load_acquire()) before any po-later
+ instructions;
+
+ Release fences, such as smp_store_release(), force the CPU to
+ execute all po-earlier instructions before the store
+ associated with the fence (e.g., the store part of an
+ smp_store_release()).
+
+Second, some types of fence affect the way the memory subsystem
+propagates stores. When a fence instruction is executed on CPU C:
+
+ For each other CPU C', smp_wmb() forces all po-earlier stores
+ on C to propagate to C' before any po-later stores do.
+
+ For each other CPU C', any store which propagates to C before
+ a release fence is executed (including all po-earlier
+ stores executed on C) is forced to propagate to C' before the
+ store associated with the release fence does.
+
+ Any store which propagates to C before a strong fence is
+ executed (including all po-earlier stores on C) is forced to
+ propagate to all other CPUs before any instructions po-after
+ the strong fence are executed on C.
+
+The propagation ordering enforced by release fences and strong fences
+affects stores from other CPUs that propagate to CPU C before the
+fence is executed, as well as stores that are executed on C before the
+fence. We describe this property by saying that release fences and
+strong fences are A-cumulative. By contrast, smp_wmb() fences are not
+A-cumulative; they only affect the propagation of stores that are
+executed on C before the fence (i.e., those which precede the fence in
+program order).
+
+rcu_read_lock(), rcu_read_unlock(), and synchronize_rcu() fences have
+other properties which we discuss later.
+
+
+PROPAGATION ORDER RELATION: cumul-fence
+---------------------------------------
+
+The fences which affect propagation order (i.e., strong, release, and
+smp_wmb() fences) are collectively referred to as cumul-fences, even
+though smp_wmb() isn't A-cumulative. The cumul-fence relation is
+defined to link memory access events E and F whenever:
+
+ E and F are both stores on the same CPU and an smp_wmb() fence
+ event occurs between them in program order; or
+
+ F is a release fence and some X comes before F in program order,
+ where either X = E or else E ->rf X; or
+
+ A strong fence event occurs between some X and F in program
+ order, where either X = E or else E ->rf X.
+
+The operational model requires that whenever W and W' are both stores
+and W ->cumul-fence W', then W must propagate to any given CPU
+before W' does. However, for different CPUs C and C', it does not
+require W to propagate to C before W' propagates to C'.
+
+
+DERIVATION OF THE LKMM FROM THE OPERATIONAL MODEL
+-------------------------------------------------
+
+The LKMM is derived from the restrictions imposed by the design
+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
+axioms:
+
+ Sequential consistency per variable: This requires that the
+ system obey the four coherency rules.
+
+ Atomicity: This requires that atomic read-modify-write
+ operations really are atomic, that is, no other stores can
+ sneak into the middle of such an update.
+
+ Happens-before: This requires that certain instructions are
+ executed in a specific order.
+
+ Propagation: This requires that certain stores propagate to
+ CPUs and to RAM in a specific order.
+
+ Rcu: This requires that RCU read-side critical sections and
+ grace periods obey the rules of RCU, in particular, the
+ Grace-Period Guarantee.
+
+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.
+
+Each of these axioms is discussed below.
+
+
+SEQUENTIAL CONSISTENCY PER VARIABLE
+-----------------------------------
+
+According to the principle of cache coherence, the stores to any fixed
+shared location in memory form a global ordering. We can imagine
+inserting the loads from that location into this ordering, by placing
+each load between the store that it reads from and the following
+store. This leaves the relative positions of loads that read from the
+same store unspecified; let's say they are inserted in program order,
+first for CPU 0, then CPU 1, etc.
+
+You can check that the four coherency rules imply that the rf, co, fr,
+and po-loc relations agree with this global ordering; in other words,
+whenever we have X ->rf Y or X ->co Y or X ->fr Y or X ->po-loc Y, the
+X event comes before the Y event in the global ordering. The LKMM's
+"coherence" axiom expresses this by requiring the union of these
+relations not to have any cycles. This means it must not be possible
+to find events
+
+ X0 -> X1 -> X2 -> ... -> Xn -> X0,
+
+where each of the links is either rf, co, fr, or po-loc. This has to
+hold if the accesses to the fixed memory location can be ordered as
+cache coherence demands.
+
+Although it is not obvious, it can be shown that the converse is also
+true: This LKMM axiom implies that the four coherency rules are
+obeyed.
+
+
+ATOMIC UPDATES: rmw
+-------------------
+
+What does it mean to say that a read-modify-write (rmw) update, such
+as atomic_inc(&x), is atomic? It means that the memory location (x in
+this case) does not get altered between the read and the write events
+making up the atomic operation. In particular, if two CPUs perform
+atomic_inc(&x) concurrently, it must be guaranteed that the final
+value of x will be the initial value plus two. We should never have
+the following sequence of events:
+
+ CPU 0 loads x obtaining 13;
+ CPU 1 loads x obtaining 13;
+ CPU 0 stores 14 to x;
+ CPU 1 stores 14 to x;
+
+where the final value of x is wrong (14 rather than 15).
+
+In this example, CPU 0's increment effectively gets lost because it
+occurs in between CPU 1's load and store. To put it another way, the
+problem is that the position of CPU 0's store in x's coherence order
+is between the store that CPU 1 reads from and the store that CPU 1
+performs.
+
+The same analysis applies to all atomic update operations. Therefore,
+to enforce atomicity the LKMM requires that atomic updates follow this
+rule: Whenever R and W are the read and write events composing an
+atomic read-modify-write and W' is the write event which R reads from,
+there must not be any stores coming between W' and W in the coherence
+order. Equivalently,
+
+ (R ->rmw W) implies (there is no X with R ->fr X and X ->co W),
+
+where the rmw relation links the read and write events making up each
+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
+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
+po.
+
+The operational model already includes a description of one such
+situation: Fences are a source of ppo links. Suppose X and Y are
+memory accesses with X ->po Y; then the CPU must execute X before Y if
+any of the following hold:
+
+ A strong (smp_mb() or synchronize_rcu()) fence occurs between
+ X and Y;
+
+ X and Y are both stores and an smp_wmb() fence occurs between
+ them;
+
+ X and Y are both loads and an smp_rmb() fence occurs between
+ them;
+
+ X is also an acquire fence, such as smp_load_acquire();
+
+ Y is also a release fence, such as smp_store_release().
+
+Another possibility, not mentioned earlier but discussed in the next
+section, is:
+
+ X and Y are both loads, X ->addr Y (i.e., there is an address
+ dependency from X to Y), and X is a READ_ONCE() or an atomic
+ access.
+
+Dependencies can also cause instructions to be executed in program
+order. This is uncontroversial when the second instruction is a
+store; either a data, address, or control dependency from a load R to
+a store W will force the CPU to execute R before W. This is very
+simply because the CPU cannot tell the memory subsystem about W's
+store before it knows what value should be stored (in the case of a
+data dependency), what location it should be stored into (in the case
+of an address dependency), or whether the store should actually take
+place (in the case of a control dependency).
+
+Dependencies to load instructions are more problematic. To begin with,
+there is no such thing as a data dependency to a load. Next, a CPU
+has no reason to respect a control dependency to a load, because it
+can always satisfy the second load speculatively before the first, and
+then ignore the result if it turns out that the second load shouldn't
+be executed after all. And lastly, the real difficulties begin when
+we consider address dependencies to loads.
+
+To be fair about it, all Linux-supported architectures do execute
+loads in program order if there is an address dependency between them.
+After all, a CPU cannot ask the memory subsystem to load a value from
+a particular location before it knows what that location is. However,
+the split-cache design used by Alpha can cause it to behave in a way
+that looks as if the loads were executed out of order (see the next
+section for more details). The kernel includes a workaround for this
+problem when the loads come from READ_ONCE(), and therefore the LKMM
+includes address dependencies to loads in the ppo relation.
+
+On the other hand, dependencies can indirectly affect the ordering of
+two loads. This happens when there is a dependency from a load to a
+store and a second, po-later load reads from that store:
+
+ R ->dep W ->rfi R',
+
+where the dep link can be either an address or a data dependency. In
+this situation we know it is possible for the CPU to execute R' before
+W, because it can forward the value that W will store to R'. But it
+cannot execute R' before R, because it cannot forward the value before
+it knows what that value is, or that W and R' do access the same
+location. However, if there is merely a control dependency between R
+and W then the CPU can speculatively forward W to R' before executing
+R; if the speculation turns out to be wrong then the CPU merely has to
+restart or abandon R'.
+
+(In theory, a CPU might forward a store to a load when it runs across
+an address dependency like this:
+
+ r1 = READ_ONCE(ptr);
+ WRITE_ONCE(*r1, 17);
+ r2 = READ_ONCE(*r1);
+
+because it could tell that the store and the second load access the
+same location even before it knows what the location's address is.
+However, none of the architectures supported by the Linux kernel do
+this.)
+
+Two memory accesses of the same location must always be executed in
+program order if the second access is a store. Thus, if we have
+
+ R ->po-loc W
+
+(the po-loc link says that R comes before W in program order and they
+access the same location), the CPU is obliged to execute W after R.
+If it executed W first then the memory subsystem would respond to R's
+read request with the value stored by W (or an even later store), in
+violation of the read-write coherence rule. Similarly, if we had
+
+ W ->po-loc W'
+
+and the CPU executed W' before W, then the memory subsystem would put
+W' before W in the coherence order. It would effectively cause W to
+overwrite W', in violation of the write-write coherence rule.
+(Interestingly, an early ARMv8 memory model, now obsolete, proposed
+allowing out-of-order writes like this to occur. The model avoided
+violating the write-write coherence rule by requiring the CPU not to
+send the W write to the memory subsystem at all!)
+
+There is one last example of preserved program order in the LKMM: when
+a load-acquire reads from an earlier store-release. For example:
+
+ smp_store_release(&x, 123);
+ r1 = smp_load_acquire(&x);
+
+If the smp_load_acquire() ends up obtaining the 123 value that was
+stored by the smp_store_release(), the LKMM says that the load must be
+executed after the store; the store cannot be forwarded to the load.
+This requirement does not arise from the operational model, but it
+yields correct predictions on all architectures supported by the Linux
+kernel, although for differing reasons.
+
+On some architectures, including x86 and ARMv8, it is true that the
+store cannot be forwarded to the load. On others, including PowerPC
+and ARMv7, smp_store_release() generates object code that starts with
+a fence and smp_load_acquire() generates object code that ends with a
+fence. The upshot is that even though the store may be forwarded to
+the load, it is still true that any instruction preceding the store
+will be executed before the load or any following instructions, and
+the store will be executed before any instruction following the load.
+
+
+AND THEN THERE WAS ALPHA
+------------------------
+
+As mentioned above, the Alpha architecture is unique in that it does
+not appear to respect address dependencies to loads. This means that
+code such as the following:
+
+ int x = 0;
+ int y = -1;
+ int *ptr = &y;
+
+ P0()
+ {
+ WRITE_ONCE(x, 1);
+ smp_wmb();
+ WRITE_ONCE(ptr, &x);
+ }
+
+ P1()
+ {
+ int *r1;
+ int r2;
+
+ r1 = ptr;
+ r2 = READ_ONCE(*r1);
+ }
+
+can malfunction on Alpha systems (notice that P1 uses an ordinary load
+to read ptr instead of READ_ONCE()). It is quite possible that r1 = &x
+and r2 = 0 at the end, in spite of the address dependency.
+
+At first glance this doesn't seem to make sense. We know that the
+smp_wmb() forces P0's store to x to propagate to P1 before the store
+to ptr does. And since P1 can't execute its second load
+until it knows what location to load from, i.e., after executing its
+first load, the value x = 1 must have propagated to P1 before the
+second load executed. So why doesn't r2 end up equal to 1?
+
+The answer lies in the Alpha's split local caches. Although the two
+stores do reach P1's local cache in the proper order, it can happen
+that the first store is processed by a busy part of the cache while
+the second store is processed by an idle part. As a result, the x = 1
+value may not become available for P1's CPU to read until after the
+ptr = &x value does, leading to the undesirable result above. The
+final effect is that even though the two loads really are executed in
+program order, it appears that they aren't.
+
+This could not have happened if the local cache had processed the
+incoming stores in FIFO order. By contrast, other architectures
+maintain at least the appearance of FIFO order.
+
+In practice, this difficulty is solved by inserting a special fence
+between P1's two loads when the kernel is compiled for the Alpha
+architecture. In fact, as of version 4.15, the kernel automatically
+adds this fence (called smp_read_barrier_depends() and defined as
+nothing at all on non-Alpha builds) after every READ_ONCE() and atomic
+load. The effect of the fence is to cause the CPU not to execute any
+po-later instructions until after the local cache has finished
+processing all the stores it has already received. Thus, if the code
+was changed to:
+
+ P1()
+ {
+ int *r1;
+ int r2;
+
+ r1 = READ_ONCE(ptr);
+ r2 = READ_ONCE(*r1);
+ }
+
+then we would never get r1 = &x and r2 = 0. By the time P1 executed
+its second load, the x = 1 store would already be fully processed by
+the local cache and available for satisfying the read request. Thus
+we have yet another reason why shared data should always be read with
+READ_ONCE() or another synchronization primitive rather than accessed
+directly.
+
+The LKMM requires that smp_rmb(), acquire fences, and strong fences
+share this property with smp_read_barrier_depends(): They do not allow
+the CPU to execute any po-later instructions (or po-later loads in the
+case of smp_rmb()) until all outstanding stores have been processed by
+the local cache. In the case of a strong fence, the CPU first has to
+wait for all of its po-earlier stores to propagate to every other CPU
+in the system; then it has to wait for the local cache to process all
+the stores received as of that time -- not just the stores received
+when the strong fence began.
+
+And of course, none of this matters for any architecture other than
+Alpha.
+
+
+THE HAPPENS-BEFORE RELATION: hb
+-------------------------------
+
+The happens-before relation (hb) links memory accesses that have to
+execute in a certain order. hb includes the ppo relation and two
+others, one of which is rfe.
+
+W ->rfe R implies that W and R are on different CPUs. It also means
+that W's store must have propagated to R's CPU before R executed;
+otherwise R could not have read the value stored by W. Therefore W
+must have executed before R, and so we have W ->hb R.
+
+The equivalent fact need not hold if W ->rfi R (i.e., W and R are on
+the same CPU). As we have already seen, the operational model allows
+W's value to be forwarded to R in such cases, meaning that R may well
+execute before W does.
+
+It's important to understand that neither coe nor fre is included in
+hb, despite their similarities to rfe. For example, suppose we have
+W ->coe W'. This means that W and W' are stores to the same location,
+they execute on different CPUs, and W comes before W' in the coherence
+order (i.e., W' overwrites W). Nevertheless, it is possible for W' to
+execute before W, because the decision as to which store overwrites
+the other is made later by the memory subsystem. When the stores are
+nearly simultaneous, either one can come out on top. Similarly,
+R ->fre W means that W overwrites the value which R reads, but it
+doesn't mean that W has to execute after R. All that's necessary is
+for the memory subsystem not to propagate W to R's CPU until after R
+has executed, which is possible if W executes shortly before R.
+
+The third relation included in hb is like ppo, in that it only links
+events that are on the same CPU. However it is more difficult to
+explain, because it arises only indirectly from the requirement of
+cache coherence. The relation is called prop, and it links two events
+on CPU C in situations where a store from some other CPU comes after
+the first event in the coherence order and propagates to C before the
+second event executes.
+
+This is best explained with some examples. The simplest case looks
+like this:
+
+ int x;
+
+ P0()
+ {
+ int r1;
+
+ WRITE_ONCE(x, 1);
+ r1 = READ_ONCE(x);
+ }
+
+ P1()
+ {
+ WRITE_ONCE(x, 8);
+ }
+
+If r1 = 8 at the end then P0's accesses must have executed in program
+order. We can deduce this from the operational model; if P0's load
+had executed before its store then the value of the store would have
+been forwarded to the load, so r1 would have ended up equal to 1, not
+8. In this case there is a prop link from P0's write event to its read
+event, because P1's store came after P0's store in x's coherence
+order, and P1's store propagated to P0 before P0's load executed.
+
+An equally simple case involves two loads of the same location that
+read from different stores:
+
+ int x = 0;
+
+ P0()
+ {
+ int r1, r2;
+
+ r1 = READ_ONCE(x);
+ r2 = READ_ONCE(x);
+ }
+
+ P1()
+ {
+ WRITE_ONCE(x, 9);
+ }
+
+If r1 = 0 and r2 = 9 at the end then P0's accesses must have executed
+in program order. If the second load had executed before the first
+then the x = 9 store must have been propagated to P0 before the first
+load executed, and so r1 would have been 9 rather than 0. In this
+case there is a prop link from P0's first read event to its second,
+because P1's store overwrote the value read by P0's first load, and
+P1's store propagated to P0 before P0's second load executed.
+
+Less trivial examples of prop all involve fences. Unlike the simple
+examples above, they can require that some instructions are executed
+out of program order. This next one should look familiar:
+
+ int buf = 0, flag = 0;
+
+ P0()
+ {
+ WRITE_ONCE(buf, 1);
+ smp_wmb();
+ WRITE_ONCE(flag, 1);
+ }
+
+ P1()
+ {
+ int r1;
+ int r2;
+
+ r1 = READ_ONCE(flag);
+ r2 = READ_ONCE(buf);
+ }
+
+This is the MP pattern again, with an smp_wmb() fence between the two
+stores. If r1 = 1 and r2 = 0 at the end then there is a prop link
+from P1's second load to its first (backwards!). The reason is
+similar to the previous examples: The value P1 loads from buf gets
+overwritten by P0's store to buf, the fence guarantees that the store
+to buf will propagate to P1 before the store to flag does, and the
+store to flag propagates to P1 before P1 reads flag.
+
+The prop link says that in order to obtain the r1 = 1, r2 = 0 result,
+P1 must execute its second load before the first. Indeed, if the load
+from flag were executed first, then the buf = 1 store would already
+have propagated to P1 by the time P1's load from buf executed, so r2
+would have been 1 at the end, not 0. (The reasoning holds even for
+Alpha, although the details are more complicated and we will not go
+into them.)
+
+But what if we put an smp_rmb() fence between P1's loads? The fence
+would force the two loads to be executed in program order, and it
+would generate a cycle in the hb relation: The fence would create a ppo
+link (hence an hb link) from the first load to the second, and the
+prop relation would give an hb link from the second load to the first.
+Since an instruction can't execute before itself, we are forced to
+conclude that if an smp_rmb() fence is added, the r1 = 1, r2 = 0
+outcome is impossible -- as it should be.
+
+The formal definition of the prop relation involves a coe or fre link,
+followed by an arbitrary number of cumul-fence links, ending with an
+rfe link. You can concoct more exotic examples, containing more than
+one fence, although this quickly leads to diminishing returns in terms
+of complexity. For instance, here's an example containing a coe link
+followed by two fences and an rfe link, utilizing the fact that
+release fences are A-cumulative:
+
+ int x, y, z;
+
+ P0()
+ {
+ int r0;
+
+ WRITE_ONCE(x, 1);
+ r0 = READ_ONCE(z);
+ }
+
+ P1()
+ {
+ WRITE_ONCE(x, 2);
+ smp_wmb();
+ WRITE_ONCE(y, 1);
+ }
+
+ P2()
+ {
+ int r2;
+
+ r2 = READ_ONCE(y);
+ smp_store_release(&z, 1);
+ }
+
+If x = 2, r0 = 1, and r2 = 1 after this code runs then there is a prop
+link from P0's store to its load. This is because P0's store gets
+overwritten by P1's store since x = 2 at the end (a coe link), the
+smp_wmb() ensures that P1's store to x propagates to P2 before the
+store to y does (the first fence), the store to y propagates to P2
+before P2's load and store execute, P2's smp_store_release()
+guarantees that the stores to x and y both propagate to P0 before the
+store to z does (the second fence), and P0's load executes after the
+store to z has propagated to P0 (an rfe link).
+
+In summary, the fact that the hb relation links memory access events
+in the order they execute means that it must not have cycles. This
+requirement is the content of the LKMM's "happens-before" axiom.
+
+The LKMM defines yet another relation connected to times of
+instruction execution, but it is not included in hb. It relies on the
+particular properties of strong fences, which we cover in the next
+section.
+
+
+THE PROPAGATES-BEFORE RELATION: pb
+----------------------------------
+
+The propagates-before (pb) relation capitalizes on the special
+features of strong fences. It links two events E and F whenever some
+store is coherence-later than E and propagates to every CPU and to RAM
+before F executes. The formal definition requires that E be linked to
+F via a coe or fre link, an arbitrary number of cumul-fences, an
+optional rfe link, a strong fence, and an arbitrary number of hb
+links. Let's see how this definition works out.
+
+Consider first the case where E is a store (implying that the sequence
+of links begins with coe). Then there are events W, X, Y, and Z such
+that:
+
+ E ->coe W ->cumul-fence* X ->rfe? Y ->strong-fence Z ->hb* F,
+
+where the * suffix indicates an arbitrary number of links of the
+specified type, and the ? suffix indicates the link is optional (Y may
+be equal to X). Because of the cumul-fence links, we know that W will
+propagate to Y's CPU before X does, hence before Y executes and hence
+before the strong fence executes. Because this fence is strong, we
+know that W will propagate to every CPU and to RAM before Z executes.
+And because of the hb links, we know that Z will execute before F.
+Thus W, which comes later than E in the coherence order, will
+propagate to every CPU and to RAM before F executes.
+
+The case where E is a load is exactly the same, except that the first
+link in the sequence is fre instead of coe.
+
+The existence of a pb link from E to F implies that E must execute
+before F. To see why, suppose that F executed first. Then W would
+have propagated to E's CPU before E executed. If E was a store, the
+memory subsystem would then be forced to make E come after W in the
+coherence order, contradicting the fact that E ->coe W. If E was a
+load, the memory subsystem would then be forced to satisfy E's read
+request with the value stored by W or an even later store,
+contradicting the fact that E ->fre W.
+
+A good example illustrating how pb works is the SB pattern with strong
+fences:
+
+ int x = 0, y = 0;
+
+ P0()
+ {
+ int r0;
+
+ WRITE_ONCE(x, 1);
+ smp_mb();
+ r0 = READ_ONCE(y);
+ }
+
+ P1()
+ {
+ int r1;
+
+ WRITE_ONCE(y, 1);
+ smp_mb();
+ r1 = READ_ONCE(x);
+ }
+
+If r0 = 0 at the end then there is a pb link from P0's load to P1's
+load: an fre link from P0's load to P1's store (which overwrites the
+value read by P0), and a strong fence between P1's store and its load.
+In this example, the sequences of cumul-fence and hb links are empty.
+Note that this pb link is not included in hb as an instance of prop,
+because it does not start and end on the same CPU.
+
+Similarly, if r1 = 0 at the end then there is a pb link from P1's load
+to P0's. This means that if both r1 and r2 were 0 there would be a
+cycle in pb, which is not possible since an instruction cannot execute
+before itself. Thus, adding smp_mb() fences to the SB pattern
+prevents the r0 = 0, r1 = 0 outcome.
+
+In summary, the fact that the pb relation links events in the order
+they execute means that it cannot have cycles. This requirement is
+the content of the LKMM's "propagation" axiom.
+
+
+RCU RELATIONS: rcu-link, gp, rscs, 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.
+
+A grace period is the span of time occupied by a call to
+synchronize_rcu(). A read-side critical section (or just critical
+section, for short) is a region of code delimited by rcu_read_lock()
+at the start and rcu_read_unlock() at the end. Critical sections can
+be nested, although we won't make use of this fact.
+
+As far as memory models are concerned, RCU's main feature is its
+Grace-Period Guarantee, which states that a critical section can never
+span a full grace period. In more detail, the Guarantee says:
+
+ If a critical section starts before a grace period then it
+ must end before the grace period does. In addition, every
+ store that propagates to the critical section's CPU before the
+ end of the critical section must propagate to every CPU before
+ the end of the grace period.
+
+ If a critical section ends after a grace period ends then it
+ must start after the grace period does. In addition, every
+ store that propagates to the grace period's CPU before the
+ start of the grace period must propagate to every CPU before
+ the start of the critical section.
+
+Here is a simple example of RCU in action:
+
+ int x, y;
+
+ P0()
+ {
+ rcu_read_lock();
+ WRITE_ONCE(x, 1);
+ WRITE_ONCE(y, 1);
+ rcu_read_unlock();
+ }
+
+ P1()
+ {
+ int r1, r2;
+
+ r1 = READ_ONCE(x);
+ synchronize_rcu();
+ r2 = READ_ONCE(y);
+ }
+
+The Grace Period Guarantee tells us that when this code runs, it will
+never end with r1 = 1 and r2 = 0. The reasoning is as follows. r1 = 1
+means that P0's store to x propagated to P1 before P1 called
+synchronize_rcu(), so P0's critical section must have started before
+P1's grace period. On the other hand, r2 = 0 means that P0's store to
+y, which occurs before the end of the critical section, did not
+propagate to P1 before the end of the grace period, violating the
+Guarantee.
+
+In the kernel's implementations of RCU, the requirements for stores
+to propagate to every CPU are fulfilled by placing strong fences at
+suitable places in the RCU-related code. Thus, if a critical section
+starts before a grace period does then the critical section's CPU will
+execute an smp_mb() fence after the end of the critical section and
+some time before the grace period's synchronize_rcu() call returns.
+And if a critical section ends after a grace period does then the
+synchronize_rcu() routine will execute an smp_mb() fence at its start
+and some time before the critical section's opening rcu_read_lock()
+executes.
+
+What exactly do we mean by saying that a critical section "starts
+before" or "ends after" a grace period? Some aspects of the meaning
+are pretty obvious, as in the example above, but the details aren't
+entirely clear. The LKMM formalizes this notion by means of the
+rcu-link relation. rcu-link encompasses a very general notion of
+"before": Among other things, X ->rcu-link Z includes cases where X
+happens-before or is equal to some event Y which is equal to or comes
+before Z in the coherence order. When Y = Z this says that X ->rfe Z
+implies X ->rcu-link Z. In addition, when Y = X it says that X ->fr Z
+and X ->co Z each imply X ->rcu-link Z.
+
+The formal definition of the rcu-link relation is more than a little
+obscure, and we won't give it here. It is closely related to the pb
+relation, and the details don't matter unless you want to comb through
+a somewhat lengthy formal proof. Pretty much all you need to know
+about rcu-link is the information in the preceding paragraph.
+
+The LKMM also defines the gp and rscs relations. They bring grace
+periods and read-side critical sections into the picture, in the
+following way:
+
+ E ->gp F means there is a synchronize_rcu() fence event S such
+ that E ->po S and either S ->po F or S = F. In simple terms,
+ there is a grace period po-between E and F.
+
+ E ->rscs F means there is a critical section delimited by an
+ rcu_read_lock() fence L and an rcu_read_unlock() fence U, such
+ that E ->po U and either L ->po F or L = F. You can think of
+ this as saying that E and F are in the same critical section
+ (in fact, it also allows E to be po-before the start of the
+ critical section and F to be po-after the end).
+
+If we think of the rcu-link relation as standing for an extended
+"before", then X ->gp Y ->rcu-link Z says that X executes before a
+grace period which ends before Z executes. (In fact it covers more
+than this, because it also includes cases where X executes before a
+grace period and some store propagates to Z's CPU before Z executes
+but doesn't propagate to some other CPU until after the grace period
+ends.) Similarly, X ->rscs Y ->rcu-link Z says that X is part of (or
+before the start of) a critical section which starts before Z
+executes.
+
+The LKMM goes on to define the rcu-fence relation as a sequence of gp
+and rscs links separated by rcu-link links, in which the number of gp
+links is >= the number of rscs links. For example:
+
+ X ->gp Y ->rcu-link Z ->rscs T ->rcu-link U ->gp V
+
+would imply that X ->rcu-fence V, because this sequence contains two
+gp links and only one rscs link. (It also implies that X ->rcu-fence T
+and Z ->rcu-fence V.) On the other hand:
+
+ X ->rscs Y ->rcu-link Z ->rscs T ->rcu-link U ->gp V
+
+does not imply X ->rcu-fence V, because the sequence contains only
+one gp link but two rscs 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,
+if W is a write and we have W ->rcu-fence Z, the Guarantee says that W
+will propagate to every CPU before Z executes.
+
+To prove this in full generality requires some intellectual effort.
+We'll consider just a very simple case:
+
+ W ->gp X ->rcu-link Y ->rscs Z.
+
+This formula means that there is a grace period G and a critical
+section C such that:
+
+ 1. W is po-before G;
+
+ 2. X is equal to or po-after G;
+
+ 3. X comes "before" Y in some sense;
+
+ 4. Y is po-before the end of C;
+
+ 5. Z is equal to or po-after the start of C.
+
+From 2 - 4 we deduce that the grace period G ends before the critical
+section C. Then the second part of the Grace Period Guarantee says
+not only that G starts before C does, but also that W (which executes
+on G's CPU before G starts) must propagate to every CPU before C
+starts. In particular, W propagates to every CPU before Z executes
+(or finishes executing, in the case where Z is equal to the
+rcu_read_lock() fence event which starts C.) This sort of reasoning
+can be expanded to handle all the situations covered by rcu-fence.
+
+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
+relation was defined in terms of strong-fence. We will omit the
+details; the end result is that E ->rb F implies E must execute 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, the
+axiom requires that there are no cycles consisting of gp and rscs
+alternating with rcu-link, where the number of gp links is >= the
+number of rscs links.
+
+Justifying the axiom isn't easy, but it is in fact a valid
+formalization of the Grace Period Guarantee. We won't attempt to go
+through the detailed argument, but the following analysis gives a
+taste of what is involved. Suppose we have a violation of the first
+part of the Guarantee: A critical section starts before a grace
+period, and some store propagates to the critical section's CPU before
+the end of the critical section but doesn't propagate to some other
+CPU until after the end of the grace period.
+
+Putting symbols to these ideas, let L and U be the rcu_read_lock() and
+rcu_read_unlock() fence events delimiting the critical section in
+question, and let S be the synchronize_rcu() fence event for the grace
+period. Saying that the critical section starts before S means there
+are events E and F where E is po-after L (which marks the start of the
+critical section), E is "before" F in the sense of the rcu-link
+relation, and F is po-before the grace period S:
+
+ L ->po E ->rcu-link F ->po S.
+
+Let W be the store mentioned above, let Z come before the end of the
+critical section and witness that W propagates to the critical
+section's CPU by reading from W, and let Y on some arbitrary CPU be a
+witness that W has not propagated to that CPU, where Y happens after
+some event X which is po-after S. Symbolically, this amounts to:
+
+ S ->po X ->hb* Y ->fr W ->rf Z ->po U.
+
+The fr link from Y to W indicates that W has not propagated to Y's CPU
+at the time that Y executes. From this, it can be shown (see the
+discussion of the rcu-link relation earlier) that X and Z are related
+by rcu-link, yielding:
+
+ S ->po X ->rcu-link Z ->po U.
+
+The formulas say that S is po-between F and X, hence F ->gp X. They
+also say that Z comes before the end of the critical section and E
+comes after its start, hence Z ->rscs E. From all this we obtain:
+
+ F ->gp X ->rcu-link Z ->rscs E ->rcu-link F,
+
+a forbidden cycle. Thus the "rcu" axiom rules out this violation of
+the Grace Period Guarantee.
+
+For something a little more down-to-earth, let's see how the axiom
+works out in practice. Consider the RCU code example from above, this
+time with statement labels added to the memory access instructions:
+
+ int x, y;
+
+ P0()
+ {
+ rcu_read_lock();
+ W: WRITE_ONCE(x, 1);
+ X: WRITE_ONCE(y, 1);
+ rcu_read_unlock();
+ }
+
+ P1()
+ {
+ int r1, r2;
+
+ Y: r1 = READ_ONCE(x);
+ synchronize_rcu();
+ Z: r2 = READ_ONCE(y);
+ }
+
+
+If r2 = 0 at the end then P0's store at X overwrites the value that
+P1's load at Z reads from, so we have Z ->fre X and thus Z ->rcu-link X.
+In addition, there is a synchronize_rcu() between Y and Z, so therefore
+we have Y ->gp Z.
+
+If r1 = 1 at the end then P1's load at Y reads from P0's store at W,
+so we have W ->rcu-link Y. In addition, W and X are in the same critical
+section, so therefore we have X ->rscs W.
+
+Then X ->rscs W ->rcu-link Y ->gp Z ->rcu-link X is a forbidden cycle,
+violating the "rcu" axiom. Hence the outcome is not allowed by the
+LKMM, as we would expect.
+
+For contrast, let's see what can happen in a more complicated example:
+
+ int x, y, z;
+
+ P0()
+ {
+ int r0;
+
+ rcu_read_lock();
+ W: r0 = READ_ONCE(x);
+ X: WRITE_ONCE(y, 1);
+ rcu_read_unlock();
+ }
+
+ P1()
+ {
+ int r1;
+
+ Y: r1 = READ_ONCE(y);
+ synchronize_rcu();
+ Z: WRITE_ONCE(z, 1);
+ }
+
+ P2()
+ {
+ int r2;
+
+ rcu_read_lock();
+ U: r2 = READ_ONCE(z);
+ V: WRITE_ONCE(x, 1);
+ rcu_read_unlock();
+ }
+
+If r0 = r1 = r2 = 1 at the end, then similar reasoning to before shows
+that W ->rscs X ->rcu-link Y ->gp Z ->rcu-link U ->rscs V ->rcu-link W.
+However this cycle is not forbidden, because the sequence of relations
+contains fewer instances of gp (one) than of rscs (two). Consequently
+the outcome is allowed by the LKMM. The following instruction timing
+diagram shows how it might actually occur:
+
+P0 P1 P2
+-------------------- -------------------- --------------------
+rcu_read_lock()
+X: WRITE_ONCE(y, 1)
+ Y: r1 = READ_ONCE(y)
+ synchronize_rcu() starts
+ . rcu_read_lock()
+ . V: WRITE_ONCE(x, 1)
+W: r0 = READ_ONCE(x) .
+rcu_read_unlock() .
+ synchronize_rcu() ends
+ Z: WRITE_ONCE(z, 1)
+ U: r2 = READ_ONCE(z)
+ rcu_read_unlock()
+
+This requires P0 and P2 to execute their loads and stores out of
+program order, but of course they are allowed to do so. And as you
+can see, the Grace Period Guarantee is not violated: The critical
+section in P0 both starts before P1's grace period does and ends
+before it does, and the critical section in P2 both starts after P1's
+grace period does and ends after it does.
+
+
+ODDS AND ENDS
+-------------
+
+This section covers material that didn't quite fit anywhere in the
+earlier sections.
+
+The descriptions in this document don't always match the formal
+version of the LKMM exactly. For example, the actual formal
+definition of the prop relation makes the initial coe or fre part
+optional, and it doesn't require the events linked by the relation to
+be on the same CPU. These differences are very unimportant; indeed,
+instances where the coe/fre part of prop is missing are of no interest
+because all the other parts (fences and rfe) are already included in
+hb anyway, and where the formal model adds prop into hb, it includes
+an explicit requirement that the events being linked are on the same
+CPU.
+
+Another minor difference has to do with events that are both memory
+accesses and fences, such as those corresponding to smp_load_acquire()
+calls. In the formal model, these events aren't actually both reads
+and fences; rather, they are read events with an annotation marking
+them as acquires. (Or write events annotated as releases, in the case
+smp_store_release().) The final effect is the same.
+
+Although we didn't mention it above, the instruction execution
+ordering provided by the smp_rmb() fence doesn't apply to read events
+that are part of a non-value-returning atomic update. For instance,
+given:
+
+ atomic_inc(&x);
+ smp_rmb();
+ r1 = READ_ONCE(y);
+
+it is not guaranteed that the load from y will execute after the
+update to x. This is because the ARMv8 architecture allows
+non-value-returning atomic operations effectively to be executed off
+the CPU. Basically, the CPU tells the memory subsystem to increment
+x, and then the increment is carried out by the memory hardware with
+no further involvement from the CPU. Since the CPU doesn't ever read
+the value of x, there is nothing for the smp_rmb() fence to act on.
+
+The LKMM defines a few extra synchronization operations in terms of
+things we have already covered. In particular, rcu_dereference() is
+treated as READ_ONCE() and rcu_assign_pointer() is treated as
+smp_store_release() -- which is basically how the Linux kernel treats
+them.
+
+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
+annotations for them; they act as strong fences just like smp_mb()
+except for the sets of events that they order. Instead of ordering
+all po-earlier events against all po-later events, as smp_mb() does,
+they behave as follows:
+
+ smp_mb__before_atomic() orders all po-earlier events against
+ po-later atomic updates and the events following them;
+
+ smp_mb__after_atomic() orders po-earlier atomic updates and
+ the events preceding them against all po-later events;
+
+ smp_mb_after_spinlock() orders po-earlier lock acquisition
+ events and the events preceding them against all po-later
+ events.
+
+The LKMM includes locking. In fact, there is special code for locking
+in the formal model, added in order to make tools run faster.
+However, this special code is intended to be exactly equivalent to
+concepts we have already covered. A spinlock_t variable is treated
+the same as an int, and spin_lock(&s) is treated the same as:
+
+ while (cmpxchg_acquire(&s, 0, 1) != 0)
+ cpu_relax();
+
+which waits until s is equal to 0 and then atomically sets it to 1,
+and where the read part of the atomic update is also an acquire fence.
+An alternate way to express the same thing would be:
+
+ r = xchg_acquire(&s, 1);
+
+along with a requirement that at the end, r = 0. spin_unlock(&s) is
+treated the same as:
+
+ smp_store_release(&s, 0);
+
+Interestingly, RCU and locking each introduce the possibility of
+deadlock. When faced with code sequences such as:
+
+ spin_lock(&s);
+ spin_lock(&s);
+ spin_unlock(&s);
+ spin_unlock(&s);
+
+or:
+
+ rcu_read_lock();
+ synchronize_rcu();
+ rcu_read_unlock();
+
+what does the LKMM have to say? Answer: It says there are no allowed
+executions at all, which makes sense. But this can also lead to
+misleading results, because if a piece of code has multiple possible
+executions, some of which deadlock, the model will report only on the
+non-deadlocking executions. For example:
+
+ int x, y;
+
+ P0()
+ {
+ int r0;
+
+ WRITE_ONCE(x, 1);
+ r0 = READ_ONCE(y);
+ }
+
+ P1()
+ {
+ rcu_read_lock();
+ if (READ_ONCE(x) > 0) {
+ WRITE_ONCE(y, 36);
+ synchronize_rcu();
+ }
+ rcu_read_unlock();
+ }
+
+Is it possible to end up with r0 = 36 at the end? The LKMM will tell
+you it is not, but the model won't mention that this is because P1
+will self-deadlock in the executions where it stores 36 in y.
diff --git a/tools/memory-model/Documentation/recipes.txt b/tools/memory-model/Documentation/recipes.txt
new file mode 100644
index 000000000..af72700cc
--- /dev/null
+++ b/tools/memory-model/Documentation/recipes.txt
@@ -0,0 +1,570 @@
+This document provides "recipes", that is, litmus tests for commonly
+occurring situations, as well as a few that illustrate subtly broken but
+attractive nuisances. Many of these recipes include example code from
+v4.13 of the Linux kernel.
+
+The first section covers simple special cases, the second section
+takes off the training wheels to cover more involved examples,
+and the third section provides a few rules of thumb.
+
+
+Simple special cases
+====================
+
+This section presents two simple special cases, the first being where
+there is only one CPU or only one memory location is accessed, and the
+second being use of that old concurrency workhorse, locking.
+
+
+Single CPU or single memory location
+------------------------------------
+
+If there is only one CPU on the one hand or only one variable
+on the other, the code will execute in order. There are (as
+usual) some things to be careful of:
+
+1. Some aspects of the C language are unordered. For example,
+ in the expression "f(x) + g(y)", the order in which f and g are
+ called is not defined; the object code is allowed to use either
+ order or even to interleave the computations.
+
+2. Compilers are permitted to use the "as-if" rule. That is, a
+ compiler can emit whatever code it likes for normal accesses,
+ as long as the results of a single-threaded execution appear
+ just as if the compiler had followed all the relevant rules.
+ To see this, compile with a high level of optimization and run
+ the debugger on the resulting binary.
+
+3. If there is only one variable but multiple CPUs, that variable
+ must be properly aligned and all accesses to that variable must
+ be full sized. Variables that straddle cachelines or pages void
+ your full-ordering warranty, as do undersized accesses that load
+ from or store to only part of the variable.
+
+4. If there are multiple CPUs, accesses to shared variables should
+ use READ_ONCE() and WRITE_ONCE() or stronger to prevent load/store
+ tearing, load/store fusing, and invented loads and stores.
+ There are exceptions to this rule, including:
+
+ i. When there is no possibility of a given shared variable
+ being updated by some other CPU, for example, while
+ holding the update-side lock, reads from that variable
+ need not use READ_ONCE().
+
+ ii. When there is no possibility of a given shared variable
+ being either read or updated by other CPUs, for example,
+ when running during early boot, reads from that variable
+ need not use READ_ONCE() and writes to that variable
+ need not use WRITE_ONCE().
+
+
+Locking
+-------
+
+Locking is well-known and straightforward, at least if you don't think
+about it too hard. And the basic rule is indeed quite simple: Any CPU that
+has acquired a given lock sees any changes previously seen or made by any
+CPU before it released that same lock. Note that this statement is a bit
+stronger than "Any CPU holding a given lock sees all changes made by any
+CPU during the time that CPU was holding this same lock". For example,
+consider the following pair of code fragments:
+
+ /* See MP+polocks.litmus. */
+ void CPU0(void)
+ {
+ WRITE_ONCE(x, 1);
+ spin_lock(&mylock);
+ WRITE_ONCE(y, 1);
+ spin_unlock(&mylock);
+ }
+
+ void CPU1(void)
+ {
+ spin_lock(&mylock);
+ r0 = READ_ONCE(y);
+ spin_unlock(&mylock);
+ r1 = READ_ONCE(x);
+ }
+
+The basic rule guarantees that if CPU0() acquires mylock before CPU1(),
+then both r0 and r1 must be set to the value 1. This also has the
+consequence that if the final value of r0 is equal to 1, then the final
+value of r1 must also be equal to 1. In contrast, the weaker rule would
+say nothing about the final value of r1.
+
+The converse to the basic rule also holds, as illustrated by the
+following litmus test:
+
+ /* See MP+porevlocks.litmus. */
+ void CPU0(void)
+ {
+ r0 = READ_ONCE(y);
+ spin_lock(&mylock);
+ r1 = READ_ONCE(x);
+ spin_unlock(&mylock);
+ }
+
+ void CPU1(void)
+ {
+ spin_lock(&mylock);
+ WRITE_ONCE(x, 1);
+ spin_unlock(&mylock);
+ WRITE_ONCE(y, 1);
+ }
+
+This converse to the basic rule guarantees that if CPU0() acquires
+mylock before CPU1(), then both r0 and r1 must be set to the value 0.
+This also has the consequence that if the final value of r1 is equal
+to 0, then the final value of r0 must also be equal to 0. In contrast,
+the weaker rule would say nothing about the final value of r0.
+
+These examples show only a single pair of CPUs, but the effects of the
+locking basic rule extend across multiple acquisitions of a given lock
+across multiple CPUs.
+
+However, it is not necessarily the case that accesses ordered by
+locking will be seen as ordered by CPUs not holding that lock.
+Consider this example:
+
+ /* See Z6.0+pooncerelease+poacquirerelease+fencembonceonce.litmus. */
+ void CPU0(void)
+ {
+ spin_lock(&mylock);
+ WRITE_ONCE(x, 1);
+ WRITE_ONCE(y, 1);
+ spin_unlock(&mylock);
+ }
+
+ void CPU1(void)
+ {
+ spin_lock(&mylock);
+ r0 = READ_ONCE(y);
+ WRITE_ONCE(z, 1);
+ spin_unlock(&mylock);
+ }
+
+ void CPU2(void)
+ {
+ WRITE_ONCE(z, 2);
+ smp_mb();
+ r1 = READ_ONCE(x);
+ }
+
+Counter-intuitive though it might be, it is quite possible to have
+the final value of r0 be 1, the final value of z be 2, and the final
+value of r1 be 0. The reason for this surprising outcome is that
+CPU2() never acquired the lock, and thus did not benefit from the
+lock's ordering properties.
+
+Ordering can be extended to CPUs not holding the lock by careful use
+of smp_mb__after_spinlock():
+
+ /* See Z6.0+pooncelock+poonceLock+pombonce.litmus. */
+ void CPU0(void)
+ {
+ spin_lock(&mylock);
+ WRITE_ONCE(x, 1);
+ WRITE_ONCE(y, 1);
+ spin_unlock(&mylock);
+ }
+
+ void CPU1(void)
+ {
+ spin_lock(&mylock);
+ smp_mb__after_spinlock();
+ r0 = READ_ONCE(y);
+ WRITE_ONCE(z, 1);
+ spin_unlock(&mylock);
+ }
+
+ void CPU2(void)
+ {
+ WRITE_ONCE(z, 2);
+ smp_mb();
+ r1 = READ_ONCE(x);
+ }
+
+This addition of smp_mb__after_spinlock() strengthens the lock acquisition
+sufficiently to rule out the counter-intuitive outcome.
+
+
+Taking off the training wheels
+==============================
+
+This section looks at more complex examples, including message passing,
+load buffering, release-acquire chains, store buffering.
+Many classes of litmus tests have abbreviated names, which may be found
+here: https://www.cl.cam.ac.uk/~pes20/ppc-supplemental/test6.pdf
+
+
+Message passing (MP)
+--------------------
+
+The MP pattern has one CPU execute a pair of stores to a pair of variables
+and another CPU execute a pair of loads from this same pair of variables,
+but in the opposite order. The goal is to avoid the counter-intuitive
+outcome in which the first load sees the value written by the second store
+but the second load does not see the value written by the first store.
+In the absence of any ordering, this goal may not be met, as can be seen
+in the MP+poonceonces.litmus litmus test. This section therefore looks at
+a number of ways of meeting this goal.
+
+
+Release and acquire
+~~~~~~~~~~~~~~~~~~~
+
+Use of smp_store_release() and smp_load_acquire() is one way to force
+the desired MP ordering. The general approach is shown below:
+
+ /* See MP+pooncerelease+poacquireonce.litmus. */
+ void CPU0(void)
+ {
+ WRITE_ONCE(x, 1);
+ smp_store_release(&y, 1);
+ }
+
+ void CPU1(void)
+ {
+ r0 = smp_load_acquire(&y);
+ r1 = READ_ONCE(x);
+ }
+
+The smp_store_release() macro orders any prior accesses against the
+store, while the smp_load_acquire macro orders the load against any
+subsequent accesses. Therefore, if the final value of r0 is the value 1,
+the final value of r1 must also be the value 1.
+
+The init_stack_slab() function in lib/stackdepot.c uses release-acquire
+in this way to safely initialize of a slab of the stack. Working out
+the mutual-exclusion design is left as an exercise for the reader.
+
+
+Assign and dereference
+~~~~~~~~~~~~~~~~~~~~~~
+
+Use of rcu_assign_pointer() and rcu_dereference() is quite similar to the
+use of smp_store_release() and smp_load_acquire(), except that both
+rcu_assign_pointer() and rcu_dereference() operate on RCU-protected
+pointers. The general approach is shown below:
+
+ /* See MP+onceassign+derefonce.litmus. */
+ int z;
+ int *y = &z;
+ int x;
+
+ void CPU0(void)
+ {
+ WRITE_ONCE(x, 1);
+ rcu_assign_pointer(y, &x);
+ }
+
+ void CPU1(void)
+ {
+ rcu_read_lock();
+ r0 = rcu_dereference(y);
+ r1 = READ_ONCE(*r0);
+ rcu_read_unlock();
+ }
+
+In this example, if the final value of r0 is &x then the final value of
+r1 must be 1.
+
+The rcu_assign_pointer() macro has the same ordering properties as does
+smp_store_release(), but the rcu_dereference() macro orders the load only
+against later accesses that depend on the value loaded. A dependency
+is present if the value loaded determines the address of a later access
+(address dependency, as shown above), the value written by a later store
+(data dependency), or whether or not a later store is executed in the
+first place (control dependency). Note that the term "data dependency"
+is sometimes casually used to cover both address and data dependencies.
+
+In lib/prime_numbers.c, the expand_to_next_prime() function invokes
+rcu_assign_pointer(), and the next_prime_number() function invokes
+rcu_dereference(). This combination mediates access to a bit vector
+that is expanded as additional primes are needed.
+
+
+Write and read memory barriers
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+It is usually better to use smp_store_release() instead of smp_wmb()
+and to use smp_load_acquire() instead of smp_rmb(). However, the older
+smp_wmb() and smp_rmb() APIs are still heavily used, so it is important
+to understand their use cases. The general approach is shown below:
+
+ /* See MP+fencewmbonceonce+fencermbonceonce.litmus. */
+ void CPU0(void)
+ {
+ WRITE_ONCE(x, 1);
+ smp_wmb();
+ WRITE_ONCE(y, 1);
+ }
+
+ void CPU1(void)
+ {
+ r0 = READ_ONCE(y);
+ smp_rmb();
+ r1 = READ_ONCE(x);
+ }
+
+The smp_wmb() macro orders prior stores against later stores, and the
+smp_rmb() macro orders prior loads against later loads. Therefore, if
+the final value of r0 is 1, the final value of r1 must also be 1.
+
+The the xlog_state_switch_iclogs() function in fs/xfs/xfs_log.c contains
+the following write-side code fragment:
+
+ log->l_curr_block -= log->l_logBBsize;
+ ASSERT(log->l_curr_block >= 0);
+ smp_wmb();
+ log->l_curr_cycle++;
+
+And the xlog_valid_lsn() function in fs/xfs/xfs_log_priv.h contains
+the corresponding read-side code fragment:
+
+ cur_cycle = READ_ONCE(log->l_curr_cycle);
+ smp_rmb();
+ cur_block = READ_ONCE(log->l_curr_block);
+
+Alternatively, consider the following comment in function
+perf_output_put_handle() in kernel/events/ring_buffer.c:
+
+ * kernel user
+ *
+ * if (LOAD ->data_tail) { LOAD ->data_head
+ * (A) smp_rmb() (C)
+ * STORE $data LOAD $data
+ * smp_wmb() (B) smp_mb() (D)
+ * STORE ->data_head STORE ->data_tail
+ * }
+
+The B/C pairing is an example of the MP pattern using smp_wmb() on the
+write side and smp_rmb() on the read side.
+
+Of course, given that smp_mb() is strictly stronger than either smp_wmb()
+or smp_rmb(), any code fragment that would work with smp_rmb() and
+smp_wmb() would also work with smp_mb() replacing either or both of the
+weaker barriers.
+
+
+Load buffering (LB)
+-------------------
+
+The LB pattern has one CPU load from one variable and then store to a
+second, while another CPU loads from the second variable and then stores
+to the first. The goal is to avoid the counter-intuitive situation where
+each load reads the value written by the other CPU's store. In the
+absence of any ordering it is quite possible that this may happen, as
+can be seen in the LB+poonceonces.litmus litmus test.
+
+One way of avoiding the counter-intuitive outcome is through the use of a
+control dependency paired with a full memory barrier:
+
+ /* See LB+fencembonceonce+ctrlonceonce.litmus. */
+ void CPU0(void)
+ {
+ r0 = READ_ONCE(x);
+ if (r0)
+ WRITE_ONCE(y, 1);
+ }
+
+ void CPU1(void)
+ {
+ r1 = READ_ONCE(y);
+ smp_mb();
+ WRITE_ONCE(x, 1);
+ }
+
+This pairing of a control dependency in CPU0() with a full memory
+barrier in CPU1() prevents r0 and r1 from both ending up equal to 1.
+
+The A/D pairing from the ring-buffer use case shown earlier also
+illustrates LB. Here is a repeat of the comment in
+perf_output_put_handle() in kernel/events/ring_buffer.c, showing a
+control dependency on the kernel side and a full memory barrier on
+the user side:
+
+ * kernel user
+ *
+ * if (LOAD ->data_tail) { LOAD ->data_head
+ * (A) smp_rmb() (C)
+ * STORE $data LOAD $data
+ * smp_wmb() (B) smp_mb() (D)
+ * STORE ->data_head STORE ->data_tail
+ * }
+ *
+ * Where A pairs with D, and B pairs with C.
+
+The kernel's control dependency between the load from ->data_tail
+and the store to data combined with the user's full memory barrier
+between the load from data and the store to ->data_tail prevents
+the counter-intuitive outcome where the kernel overwrites the data
+before the user gets done loading it.
+
+
+Release-acquire chains
+----------------------
+
+Release-acquire chains are a low-overhead, flexible, and easy-to-use
+method of maintaining order. However, they do have some limitations that
+need to be fully understood. Here is an example that maintains order:
+
+ /* See ISA2+pooncerelease+poacquirerelease+poacquireonce.litmus. */
+ void CPU0(void)
+ {
+ WRITE_ONCE(x, 1);
+ smp_store_release(&y, 1);
+ }
+
+ void CPU1(void)
+ {
+ r0 = smp_load_acquire(y);
+ smp_store_release(&z, 1);
+ }
+
+ void CPU2(void)
+ {
+ r1 = smp_load_acquire(z);
+ r2 = READ_ONCE(x);
+ }
+
+In this case, if r0 and r1 both have final values of 1, then r2 must
+also have a final value of 1.
+
+The ordering in this example is stronger than it needs to be. For
+example, ordering would still be preserved if CPU1()'s smp_load_acquire()
+invocation was replaced with READ_ONCE().
+
+It is tempting to assume that CPU0()'s store to x is globally ordered
+before CPU1()'s store to z, but this is not the case:
+
+ /* See Z6.0+pooncerelease+poacquirerelease+mbonceonce.litmus. */
+ void CPU0(void)
+ {
+ WRITE_ONCE(x, 1);
+ smp_store_release(&y, 1);
+ }
+
+ void CPU1(void)
+ {
+ r0 = smp_load_acquire(y);
+ smp_store_release(&z, 1);
+ }
+
+ void CPU2(void)
+ {
+ WRITE_ONCE(z, 2);
+ smp_mb();
+ r1 = READ_ONCE(x);
+ }
+
+One might hope that if the final value of r0 is 1 and the final value
+of z is 2, then the final value of r1 must also be 1, but it really is
+possible for r1 to have the final value of 0. The reason, of course,
+is that in this version, CPU2() is not part of the release-acquire chain.
+This situation is accounted for in the rules of thumb below.
+
+Despite this limitation, release-acquire chains are low-overhead as
+well as simple and powerful, at least as memory-ordering mechanisms go.
+
+
+Store buffering
+---------------
+
+Store buffering can be thought of as upside-down load buffering, so
+that one CPU first stores to one variable and then loads from a second,
+while another CPU stores to the second variable and then loads from the
+first. Preserving order requires nothing less than full barriers:
+
+ /* See SB+fencembonceonces.litmus. */
+ void CPU0(void)
+ {
+ WRITE_ONCE(x, 1);
+ smp_mb();
+ r0 = READ_ONCE(y);
+ }
+
+ void CPU1(void)
+ {
+ WRITE_ONCE(y, 1);
+ smp_mb();
+ r1 = READ_ONCE(x);
+ }
+
+Omitting either smp_mb() will allow both r0 and r1 to have final
+values of 0, but providing both full barriers as shown above prevents
+this counter-intuitive outcome.
+
+This pattern most famously appears as part of Dekker's locking
+algorithm, but it has a much more practical use within the Linux kernel
+of ordering wakeups. The following comment taken from waitqueue_active()
+in include/linux/wait.h shows the canonical pattern:
+
+ * CPU0 - waker CPU1 - waiter
+ *
+ * for (;;) {
+ * @cond = true; prepare_to_wait(&wq_head, &wait, state);
+ * smp_mb(); // smp_mb() from set_current_state()
+ * if (waitqueue_active(wq_head)) if (@cond)
+ * wake_up(wq_head); break;
+ * schedule();
+ * }
+ * finish_wait(&wq_head, &wait);
+
+On CPU0, the store is to @cond and the load is in waitqueue_active().
+On CPU1, prepare_to_wait() contains both a store to wq_head and a call
+to set_current_state(), which contains an smp_mb() barrier; the load is
+"if (@cond)". The full barriers prevent the undesirable outcome where
+CPU1 puts the waiting task to sleep and CPU0 fails to wake it up.
+
+Note that use of locking can greatly simplify this pattern.
+
+
+Rules of thumb
+==============
+
+There might seem to be no pattern governing what ordering primitives are
+needed in which situations, but this is not the case. There is a pattern
+based on the relation between the accesses linking successive CPUs in a
+given litmus test. There are three types of linkage:
+
+1. Write-to-read, where the next CPU reads the value that the
+ previous CPU wrote. The LB litmus-test patterns contain only
+ this type of relation. In formal memory-modeling texts, this
+ relation is called "reads-from" and is usually abbreviated "rf".
+
+2. Read-to-write, where the next CPU overwrites the value that the
+ previous CPU read. The SB litmus test contains only this type
+ of relation. In formal memory-modeling texts, this relation is
+ often called "from-reads" and is sometimes abbreviated "fr".
+
+3. Write-to-write, where the next CPU overwrites the value written
+ by the previous CPU. The Z6.0 litmus test pattern contains a
+ write-to-write relation between the last access of CPU1() and
+ the first access of CPU2(). In formal memory-modeling texts,
+ this relation is often called "coherence order" and is sometimes
+ abbreviated "co". In the C++ standard, it is instead called
+ "modification order" and often abbreviated "mo".
+
+The strength of memory ordering required for a given litmus test to
+avoid a counter-intuitive outcome depends on the types of relations
+linking the memory accesses for the outcome in question:
+
+o If all links are write-to-read links, then the weakest
+ possible ordering within each CPU suffices. For example, in
+ the LB litmus test, a control dependency was enough to do the
+ job.
+
+o If all but one of the links are write-to-read links, then a
+ release-acquire chain suffices. Both the MP and the ISA2
+ litmus tests illustrate this case.
+
+o If more than one of the links are something other than
+ write-to-read links, then a full memory barrier is required
+ between each successive pair of non-write-to-read links. This
+ case is illustrated by the Z6.0 litmus tests, both in the
+ locking and in the release-acquire sections.
+
+However, if you find yourself having to stretch these rules of thumb
+to fit your situation, you should consider creating a litmus test and
+running it on the model.
diff --git a/tools/memory-model/Documentation/references.txt b/tools/memory-model/Documentation/references.txt
new file mode 100644
index 000000000..b177f3e4a
--- /dev/null
+++ b/tools/memory-model/Documentation/references.txt
@@ -0,0 +1,114 @@
+This document provides background reading for memory models and related
+tools. These documents are aimed at kernel hackers who are interested
+in memory models.
+
+
+Hardware manuals and models
+===========================
+
+o SPARC International Inc. (Ed.). 1994. "The SPARC Architecture
+ Reference Manual Version 9". SPARC International Inc.
+
+o Compaq Computer Corporation (Ed.). 2002. "Alpha Architecture
+ Reference Manual". Compaq Computer Corporation.
+
+o Intel Corporation (Ed.). 2002. "A Formal Specification of Intel
+ Itanium Processor Family Memory Ordering". Intel Corporation.
+
+o Intel Corporation (Ed.). 2002. "Intel 64 and IA-32 Architectures
+ Software Developer’s Manual". Intel Corporation.
+
+o Peter Sewell, Susmit Sarkar, Scott Owens, Francesco Zappa Nardelli,
+ and Magnus O. Myreen. 2010. "x86-TSO: A Rigorous and Usable
+ Programmer's Model for x86 Multiprocessors". Commun. ACM 53, 7
+ (July, 2010), 89-97. http://doi.acm.org/10.1145/1785414.1785443
+
+o IBM Corporation (Ed.). 2009. "Power ISA Version 2.06". IBM
+ Corporation.
+
+o ARM Ltd. (Ed.). 2009. "ARM Barrier Litmus Tests and Cookbook".
+ ARM Ltd.
+
+o Susmit Sarkar, Peter Sewell, Jade Alglave, Luc Maranget, and
+ Derek Williams. 2011. "Understanding POWER Multiprocessors". In
+ Proceedings of the 32Nd ACM SIGPLAN Conference on Programming
+ Language Design and Implementation (PLDI ’11). ACM, New York,
+ NY, USA, 175–186.
+
+o Susmit Sarkar, Kayvan Memarian, Scott Owens, Mark Batty,
+ Peter Sewell, Luc Maranget, Jade Alglave, and Derek Williams.
+ 2012. "Synchronising C/C++ and POWER". In Proceedings of the 33rd
+ ACM SIGPLAN Conference on Programming Language Design and
+ Implementation (PLDI '12). ACM, New York, NY, USA, 311-322.
+
+o ARM Ltd. (Ed.). 2014. "ARM Architecture Reference Manual (ARMv8,
+ for ARMv8-A architecture profile)". ARM Ltd.
+
+o Imagination Technologies, LTD. 2015. "MIPS(R) Architecture
+ For Programmers, Volume II-A: The MIPS64(R) Instruction,
+ Set Reference Manual". Imagination Technologies,
+ LTD. https://imgtec.com/?do-download=4302.
+
+o Shaked Flur, Kathryn E. Gray, Christopher Pulte, Susmit
+ Sarkar, Ali Sezgin, Luc Maranget, Will Deacon, and Peter
+ Sewell. 2016. "Modelling the ARMv8 Architecture, Operationally:
+ Concurrency and ISA". In Proceedings of the 43rd Annual ACM
+ SIGPLAN-SIGACT Symposium on Principles of Programming Languages
+ (POPL ’16). ACM, New York, NY, USA, 608–621.
+
+o Shaked Flur, Susmit Sarkar, Christopher Pulte, Kyndylan Nienhuis,
+ Luc Maranget, Kathryn E. Gray, Ali Sezgin, Mark Batty, and Peter
+ Sewell. 2017. "Mixed-size Concurrency: ARM, POWER, C/C++11,
+ and SC". In Proceedings of the 44th ACM SIGPLAN Symposium on
+ Principles of Programming Languages (POPL 2017). ACM, New York,
+ NY, USA, 429–442.
+
+o Christopher Pulte, Shaked Flur, Will Deacon, Jon French,
+ Susmit Sarkar, and Peter Sewell. 2018. "Simplifying ARM concurrency:
+ multicopy-atomic axiomatic and operational models for ARMv8". In
+ Proceedings of the ACM on Programming Languages, Volume 2, Issue
+ POPL, Article No. 19. ACM, New York, NY, USA.
+
+
+Linux-kernel memory model
+=========================
+
+o Jade Alglave, Luc Maranget, Paul E. McKenney, Andrea Parri, and
+ Alan Stern. 2018. "Frightening small children and disconcerting
+ grown-ups: Concurrency in the Linux kernel". In Proceedings of
+ the 23rd International Conference on Architectural Support for
+ Programming Languages and Operating Systems (ASPLOS 2018). ACM,
+ New York, NY, USA, 405-418. Webpage: http://diy.inria.fr/linux/.
+
+o Jade Alglave, Luc Maranget, Paul E. McKenney, Andrea Parri, and
+ Alan Stern. 2017. "A formal kernel memory-ordering model (part 1)"
+ Linux Weekly News. https://lwn.net/Articles/718628/
+
+o Jade Alglave, Luc Maranget, Paul E. McKenney, Andrea Parri, and
+ Alan Stern. 2017. "A formal kernel memory-ordering model (part 2)"
+ Linux Weekly News. https://lwn.net/Articles/720550/
+
+
+Memory-model tooling
+====================
+
+o Daniel Jackson. 2002. "Alloy: A Lightweight Object Modelling
+ Notation". ACM Trans. Softw. Eng. Methodol. 11, 2 (April 2002),
+ 256–290. http://doi.acm.org/10.1145/505145.505149
+
+o Jade Alglave, Luc Maranget, and Michael Tautschnig. 2014. "Herding
+ Cats: Modelling, Simulation, Testing, and Data Mining for Weak
+ Memory". ACM Trans. Program. Lang. Syst. 36, 2, Article 7 (July
+ 2014), 7:1–7:74 pages.
+
+o Jade Alglave, Patrick Cousot, and Luc Maranget. 2016. "Syntax and
+ semantics of the weak consistency model specification language
+ cat". CoRR abs/1608.07531 (2016). http://arxiv.org/abs/1608.07531
+
+
+Memory-model comparisons
+========================
+
+o Paul E. McKenney, Ulrich Weigand, Andrea Parri, and Boqun
+ Feng. 2016. "Linux-Kernel Memory Model". (6 June 2016).
+ http://open-std.org/JTC1/SC22/WG21/docs/papers/2016/p0124r2.html.
diff --git a/tools/memory-model/README b/tools/memory-model/README
new file mode 100644
index 000000000..ee987ce20
--- /dev/null
+++ b/tools/memory-model/README
@@ -0,0 +1,206 @@
+ =====================================
+ LINUX KERNEL MEMORY CONSISTENCY MODEL
+ =====================================
+
+============
+INTRODUCTION
+============
+
+This directory contains the memory consistency model (memory model, for
+short) of the Linux kernel, written in the "cat" language and executable
+by the externally provided "herd7" simulator, which exhaustively explores
+the state space of small litmus tests.
+
+In addition, the "klitmus7" tool (also externally provided) may be used
+to convert a litmus test to a Linux kernel module, which in turn allows
+that litmus test to be exercised within the Linux kernel.
+
+
+============
+REQUIREMENTS
+============
+
+Version 7.49 of the "herd7" and "klitmus7" tools must be downloaded
+separately:
+
+ https://github.com/herd/herdtools7
+
+See "herdtools7/INSTALL.md" for installation instructions.
+
+
+==================
+BASIC USAGE: HERD7
+==================
+
+The memory model is used, in conjunction with "herd7", to exhaustively
+explore the state space of small litmus tests.
+
+For example, to run SB+fencembonceonces.litmus against the memory model:
+
+ $ herd7 -conf linux-kernel.cfg litmus-tests/SB+fencembonceonces.litmus
+
+Here is the corresponding output:
+
+ Test SB+fencembonceonces Allowed
+ States 3
+ 0:r0=0; 1:r0=1;
+ 0:r0=1; 1:r0=0;
+ 0:r0=1; 1:r0=1;
+ No
+ Witnesses
+ Positive: 0 Negative: 3
+ Condition exists (0:r0=0 /\ 1:r0=0)
+ Observation SB+fencembonceonces Never 0 3
+ Time SB+fencembonceonces 0.01
+ Hash=d66d99523e2cac6b06e66f4c995ebb48
+
+The "Positive: 0 Negative: 3" and the "Never 0 3" each indicate that
+this litmus test's "exists" clause can not be satisfied.
+
+See "herd7 -help" or "herdtools7/doc/" for more information.
+
+
+=====================
+BASIC USAGE: KLITMUS7
+=====================
+
+The "klitmus7" tool converts a litmus test into a Linux kernel module,
+which may then be loaded and run.
+
+For example, to run SB+fencembonceonces.litmus against hardware:
+
+ $ mkdir mymodules
+ $ klitmus7 -o mymodules litmus-tests/SB+fencembonceonces.litmus
+ $ cd mymodules ; make
+ $ sudo sh run.sh
+
+The corresponding output includes:
+
+ Test SB+fencembonceonces Allowed
+ Histogram (3 states)
+ 644580 :>0:r0=1; 1:r0=0;
+ 644328 :>0:r0=0; 1:r0=1;
+ 711092 :>0:r0=1; 1:r0=1;
+ No
+ Witnesses
+ Positive: 0, Negative: 2000000
+ Condition exists (0:r0=0 /\ 1:r0=0) is NOT validated
+ Hash=d66d99523e2cac6b06e66f4c995ebb48
+ Observation SB+fencembonceonces Never 0 2000000
+ Time SB+fencembonceonces 0.16
+
+The "Positive: 0 Negative: 2000000" and the "Never 0 2000000" indicate
+that during two million trials, the state specified in this litmus
+test's "exists" clause was not reached.
+
+And, as with "herd7", please see "klitmus7 -help" or "herdtools7/doc/"
+for more information.
+
+
+====================
+DESCRIPTION OF FILES
+====================
+
+Documentation/cheatsheet.txt
+ Quick-reference guide to the Linux-kernel memory model.
+
+Documentation/explanation.txt
+ Describes the memory model in detail.
+
+Documentation/recipes.txt
+ Lists common memory-ordering patterns.
+
+Documentation/references.txt
+ Provides background reading.
+
+linux-kernel.bell
+ Categorizes the relevant instructions, including memory
+ references, memory barriers, atomic read-modify-write operations,
+ lock acquisition/release, and RCU operations.
+
+ More formally, this file (1) lists the subtypes of the various
+ event types used by the memory model and (2) performs RCU
+ read-side critical section nesting analysis.
+
+linux-kernel.cat
+ Specifies what reorderings are forbidden by memory references,
+ memory barriers, atomic read-modify-write operations, and RCU.
+
+ More formally, this file specifies what executions are forbidden
+ by the memory model. Allowed executions are those which
+ satisfy the model's "coherence", "atomic", "happens-before",
+ "propagation", and "rcu" axioms, which are defined in the file.
+
+linux-kernel.cfg
+ Convenience file that gathers the common-case herd7 command-line
+ arguments.
+
+linux-kernel.def
+ Maps from C-like syntax to herd7's internal litmus-test
+ instruction-set architecture.
+
+litmus-tests
+ Directory containing a few representative litmus tests, which
+ are listed in litmus-tests/README. A great deal more litmus
+ tests are available at https://github.com/paulmckrcu/litmus.
+
+lock.cat
+ Provides a front-end analysis of lock acquisition and release,
+ for example, associating a lock acquisition with the preceding
+ and following releases and checking for self-deadlock.
+
+ More formally, this file defines a performance-enhanced scheme
+ for generation of the possible reads-from and coherence order
+ relations on the locking primitives.
+
+README
+ This file.
+
+
+===========
+LIMITATIONS
+===========
+
+The Linux-kernel memory model has the following limitations:
+
+1. Compiler optimizations are not modeled. Of course, the use
+ of READ_ONCE() and WRITE_ONCE() limits the compiler's ability
+ to optimize, but there is Linux-kernel code that uses bare C
+ memory accesses. Handling this code is on the to-do list.
+ For more information, see Documentation/explanation.txt (in
+ particular, the "THE PROGRAM ORDER RELATION: po AND po-loc"
+ and "A WARNING" sections).
+
+2. Multiple access sizes for a single variable are not supported,
+ and neither are misaligned or partially overlapping accesses.
+
+3. Exceptions and interrupts are not modeled. In some cases,
+ this limitation can be overcome by modeling the interrupt or
+ exception with an additional process.
+
+4. I/O such as MMIO or DMA is not supported.
+
+5. Self-modifying code (such as that found in the kernel's
+ alternatives mechanism, function tracer, Berkeley Packet Filter
+ JIT compiler, and module loader) is not supported.
+
+6. Complete modeling of all variants of atomic read-modify-write
+ operations, locking primitives, and RCU is not provided.
+ For example, call_rcu() and rcu_barrier() are not supported.
+ However, a substantial amount of support is provided for these
+ operations, as shown in the linux-kernel.def file.
+
+The "herd7" tool has some additional limitations of its own, apart from
+the memory model:
+
+1. Non-trivial data structures such as arrays or structures are
+ not supported. However, pointers are supported, allowing trivial
+ linked lists to be constructed.
+
+2. Dynamic memory allocation is not supported, although this can
+ be worked around in some cases by supplying multiple statically
+ allocated variables.
+
+Some of these limitations may be overcome in the future, but others are
+more likely to be addressed by incorporating the Linux-kernel memory model
+into other tools.
diff --git a/tools/memory-model/linux-kernel.bell b/tools/memory-model/linux-kernel.bell
new file mode 100644
index 000000000..b84fb2f67
--- /dev/null
+++ b/tools/memory-model/linux-kernel.bell
@@ -0,0 +1,52 @@
+// SPDX-License-Identifier: GPL-2.0+
+(*
+ * Copyright (C) 2015 Jade Alglave <j.alglave@ucl.ac.uk>,
+ * Copyright (C) 2016 Luc Maranget <luc.maranget@inria.fr> for Inria
+ * Copyright (C) 2017 Alan Stern <stern@rowland.harvard.edu>,
+ * Andrea Parri <parri.andrea@gmail.com>
+ *
+ * An earlier version of this file appeared in the companion webpage for
+ * "Frightening small children and disconcerting grown-ups: Concurrency
+ * in the Linux kernel" by Alglave, Maranget, McKenney, Parri, and Stern,
+ * which appeared in ASPLOS 2018.
+ *)
+
+"Linux-kernel memory consistency model"
+
+enum Accesses = 'once (*READ_ONCE,WRITE_ONCE*) ||
+ 'release (*smp_store_release*) ||
+ 'acquire (*smp_load_acquire*) ||
+ 'noreturn (* R of non-return RMW *)
+instructions R[{'once,'acquire,'noreturn}]
+instructions W[{'once,'release}]
+instructions RMW[{'once,'acquire,'release}]
+
+enum Barriers = 'wmb (*smp_wmb*) ||
+ 'rmb (*smp_rmb*) ||
+ 'mb (*smp_mb*) ||
+ 'rcu-lock (*rcu_read_lock*) ||
+ 'rcu-unlock (*rcu_read_unlock*) ||
+ 'sync-rcu (*synchronize_rcu*) ||
+ 'before-atomic (*smp_mb__before_atomic*) ||
+ 'after-atomic (*smp_mb__after_atomic*) ||
+ 'after-spinlock (*smp_mb__after_spinlock*)
+instructions F[Barriers]
+
+(* Compute matching pairs of nested Rcu-lock and Rcu-unlock *)
+let matched = let rec
+ unmatched-locks = Rcu-lock \ domain(matched)
+ and unmatched-unlocks = Rcu-unlock \ range(matched)
+ and unmatched = unmatched-locks | unmatched-unlocks
+ and unmatched-po = [unmatched] ; po ; [unmatched]
+ and unmatched-locks-to-unlocks =
+ [unmatched-locks] ; po ; [unmatched-unlocks]
+ and matched = matched | (unmatched-locks-to-unlocks \
+ (unmatched-po ; unmatched-po))
+ in matched
+
+(* Validate nesting *)
+flag ~empty Rcu-lock \ domain(matched) as unbalanced-rcu-locking
+flag ~empty Rcu-unlock \ range(matched) as unbalanced-rcu-locking
+
+(* Outermost level of nesting only *)
+let crit = matched \ (po^-1 ; matched ; po^-1)
diff --git a/tools/memory-model/linux-kernel.cat b/tools/memory-model/linux-kernel.cat
new file mode 100644
index 000000000..59b5cbe6b
--- /dev/null
+++ b/tools/memory-model/linux-kernel.cat
@@ -0,0 +1,128 @@
+// SPDX-License-Identifier: GPL-2.0+
+(*
+ * Copyright (C) 2015 Jade Alglave <j.alglave@ucl.ac.uk>,
+ * Copyright (C) 2016 Luc Maranget <luc.maranget@inria.fr> for Inria
+ * Copyright (C) 2017 Alan Stern <stern@rowland.harvard.edu>,
+ * Andrea Parri <parri.andrea@gmail.com>
+ *
+ * An earlier version of this file appeared in the companion webpage for
+ * "Frightening small children and disconcerting grown-ups: Concurrency
+ * in the Linux kernel" by Alglave, Maranget, McKenney, Parri, and Stern,
+ * which appeared in ASPLOS 2018.
+ *)
+
+"Linux-kernel memory consistency model"
+
+(*
+ * File "lock.cat" handles locks and is experimental.
+ * It can be replaced by include "cos.cat" for tests that do not use locks.
+ *)
+
+include "lock.cat"
+
+(*******************)
+(* Basic relations *)
+(*******************)
+
+(* Fences *)
+let rmb = [R \ Noreturn] ; fencerel(Rmb) ; [R \ Noreturn]
+let wmb = [W] ; fencerel(Wmb) ; [W]
+let mb = ([M] ; fencerel(Mb) ; [M]) |
+ ([M] ; fencerel(Before-atomic) ; [RMW] ; po? ; [M]) |
+ ([M] ; po? ; [RMW] ; fencerel(After-atomic) ; [M]) |
+ ([M] ; po? ; [LKW] ; fencerel(After-spinlock) ; [M])
+let gp = po ; [Sync-rcu] ; po?
+
+let strong-fence = mb | gp
+
+(* Release Acquire *)
+let acq-po = [Acquire] ; po ; [M]
+let po-rel = [M] ; po ; [Release]
+let rfi-rel-acq = [Release] ; rfi ; [Acquire]
+
+(**********************************)
+(* Fundamental coherence ordering *)
+(**********************************)
+
+(* Sequential Consistency Per Variable *)
+let com = rf | co | fr
+acyclic po-loc | com as coherence
+
+(* Atomic Read-Modify-Write *)
+empty rmw & (fre ; coe) as atomic
+
+(**********************************)
+(* Instruction execution ordering *)
+(**********************************)
+
+(* Preserved Program Order *)
+let dep = addr | data
+let rwdep = (dep | ctrl) ; [W]
+let overwrite = co | fr
+let to-w = rwdep | (overwrite & int)
+let to-r = addr | (dep ; rfi) | rfi-rel-acq
+let fence = strong-fence | wmb | po-rel | rmb | acq-po
+let ppo = to-r | to-w | fence
+
+(* Propagation: Ordering from release operations and strong fences. *)
+let A-cumul(r) = rfe? ; r
+let cumul-fence = A-cumul(strong-fence | po-rel) | wmb
+let prop = (overwrite & ext)? ; cumul-fence* ; rfe?
+
+(*
+ * Happens Before: Ordering from the passage of time.
+ * No fences needed here for prop because relation confined to one process.
+ *)
+let hb = ppo | rfe | ((prop \ id) & int)
+acyclic hb as happens-before
+
+(****************************************)
+(* Write and fence propagation ordering *)
+(****************************************)
+
+(* Propagation: Each non-rf link needs a strong fence. *)
+let pb = prop ; strong-fence ; hb*
+acyclic pb as propagation
+
+(*******)
+(* RCU *)
+(*******)
+
+(*
+ * Effect of read-side critical section proceeds from the rcu_read_lock()
+ * onward on the one hand and from the rcu_read_unlock() backwards on the
+ * other hand.
+ *)
+let rscs = po ; crit^-1 ; po?
+
+(*
+ * The synchronize_rcu() strong fence is special in that it can order not
+ * one but two non-rf relations, but only in conjunction with an RCU
+ * read-side critical section.
+ *)
+let rcu-link = hb* ; pb* ; prop
+
+(*
+ * Any sequence containing at least as many grace periods as RCU read-side
+ * critical sections (joined by rcu-link) acts as a generalized strong fence.
+ *)
+let rec rcu-fence = gp |
+ (gp ; rcu-link ; rscs) |
+ (rscs ; rcu-link ; gp) |
+ (gp ; rcu-link ; rcu-fence ; rcu-link ; rscs) |
+ (rscs ; rcu-link ; rcu-fence ; rcu-link ; gp) |
+ (rcu-fence ; rcu-link ; rcu-fence)
+
+(* rb orders instructions just as pb does *)
+let rb = prop ; rcu-fence ; hb* ; pb*
+
+irreflexive rb as rcu
+
+(*
+ * The happens-before, propagation, and rcu constraints are all
+ * expressions of temporal ordering. They could be replaced by
+ * a single constraint on an "executes-before" relation, xb:
+ *
+ * let xb = hb | pb | rb
+ * acyclic xb as executes-before
+ *)
diff --git a/tools/memory-model/linux-kernel.cfg b/tools/memory-model/linux-kernel.cfg
new file mode 100644
index 000000000..3c8098e99
--- /dev/null
+++ b/tools/memory-model/linux-kernel.cfg
@@ -0,0 +1,21 @@
+macros linux-kernel.def
+bell linux-kernel.bell
+model linux-kernel.cat
+graph columns
+squished true
+showevents noregs
+movelabel true
+fontsize 8
+xscale 2.0
+yscale 1.5
+arrowsize 0.8
+showinitrf false
+showfinalrf false
+showinitwrites false
+splines spline
+pad 0.1
+edgeattr hb,color,indigo
+edgeattr co,color,blue
+edgeattr mb,color,darkgreen
+edgeattr wmb,color,darkgreen
+edgeattr rmb,color,darkgreen
diff --git a/tools/memory-model/linux-kernel.def b/tools/memory-model/linux-kernel.def
new file mode 100644
index 000000000..6fa3eb28d
--- /dev/null
+++ b/tools/memory-model/linux-kernel.def
@@ -0,0 +1,108 @@
+// SPDX-License-Identifier: GPL-2.0+
+//
+// An earlier version of this file appeared in the companion webpage for
+// "Frightening small children and disconcerting grown-ups: Concurrency
+// in the Linux kernel" by Alglave, Maranget, McKenney, Parri, and Stern,
+// which appeared in ASPLOS 2018.
+
+// ONCE
+READ_ONCE(X) __load{once}(X)
+WRITE_ONCE(X,V) { __store{once}(X,V); }
+
+// Release Acquire and friends
+smp_store_release(X,V) { __store{release}(*X,V); }
+smp_load_acquire(X) __load{acquire}(*X)
+rcu_assign_pointer(X,V) { __store{release}(X,V); }
+rcu_dereference(X) __load{once}(X)
+smp_store_mb(X,V) { __store{once}(X,V); __fence{mb}; }
+
+// Fences
+smp_mb() { __fence{mb}; }
+smp_rmb() { __fence{rmb}; }
+smp_wmb() { __fence{wmb}; }
+smp_mb__before_atomic() { __fence{before-atomic}; }
+smp_mb__after_atomic() { __fence{after-atomic}; }
+smp_mb__after_spinlock() { __fence{after-spinlock}; }
+
+// Exchange
+xchg(X,V) __xchg{mb}(X,V)
+xchg_relaxed(X,V) __xchg{once}(X,V)
+xchg_release(X,V) __xchg{release}(X,V)
+xchg_acquire(X,V) __xchg{acquire}(X,V)
+cmpxchg(X,V,W) __cmpxchg{mb}(X,V,W)
+cmpxchg_relaxed(X,V,W) __cmpxchg{once}(X,V,W)
+cmpxchg_acquire(X,V,W) __cmpxchg{acquire}(X,V,W)
+cmpxchg_release(X,V,W) __cmpxchg{release}(X,V,W)
+
+// Spinlocks
+spin_lock(X) { __lock(X); }
+spin_unlock(X) { __unlock(X); }
+spin_trylock(X) __trylock(X)
+spin_is_locked(X) __islocked(X)
+
+// RCU
+rcu_read_lock() { __fence{rcu-lock}; }
+rcu_read_unlock() { __fence{rcu-unlock}; }
+synchronize_rcu() { __fence{sync-rcu}; }
+synchronize_rcu_expedited() { __fence{sync-rcu}; }
+
+// Atomic
+atomic_read(X) READ_ONCE(*X)
+atomic_set(X,V) { WRITE_ONCE(*X,V); }
+atomic_read_acquire(X) smp_load_acquire(X)
+atomic_set_release(X,V) { smp_store_release(X,V); }
+
+atomic_add(V,X) { __atomic_op(X,+,V); }
+atomic_sub(V,X) { __atomic_op(X,-,V); }
+atomic_inc(X) { __atomic_op(X,+,1); }
+atomic_dec(X) { __atomic_op(X,-,1); }
+
+atomic_add_return(V,X) __atomic_op_return{mb}(X,+,V)
+atomic_add_return_relaxed(V,X) __atomic_op_return{once}(X,+,V)
+atomic_add_return_acquire(V,X) __atomic_op_return{acquire}(X,+,V)
+atomic_add_return_release(V,X) __atomic_op_return{release}(X,+,V)
+atomic_fetch_add(V,X) __atomic_fetch_op{mb}(X,+,V)
+atomic_fetch_add_relaxed(V,X) __atomic_fetch_op{once}(X,+,V)
+atomic_fetch_add_acquire(V,X) __atomic_fetch_op{acquire}(X,+,V)
+atomic_fetch_add_release(V,X) __atomic_fetch_op{release}(X,+,V)
+
+atomic_inc_return(X) __atomic_op_return{mb}(X,+,1)
+atomic_inc_return_relaxed(X) __atomic_op_return{once}(X,+,1)
+atomic_inc_return_acquire(X) __atomic_op_return{acquire}(X,+,1)
+atomic_inc_return_release(X) __atomic_op_return{release}(X,+,1)
+atomic_fetch_inc(X) __atomic_fetch_op{mb}(X,+,1)
+atomic_fetch_inc_relaxed(X) __atomic_fetch_op{once}(X,+,1)
+atomic_fetch_inc_acquire(X) __atomic_fetch_op{acquire}(X,+,1)
+atomic_fetch_inc_release(X) __atomic_fetch_op{release}(X,+,1)
+
+atomic_sub_return(V,X) __atomic_op_return{mb}(X,-,V)
+atomic_sub_return_relaxed(V,X) __atomic_op_return{once}(X,-,V)
+atomic_sub_return_acquire(V,X) __atomic_op_return{acquire}(X,-,V)
+atomic_sub_return_release(V,X) __atomic_op_return{release}(X,-,V)
+atomic_fetch_sub(V,X) __atomic_fetch_op{mb}(X,-,V)
+atomic_fetch_sub_relaxed(V,X) __atomic_fetch_op{once}(X,-,V)
+atomic_fetch_sub_acquire(V,X) __atomic_fetch_op{acquire}(X,-,V)
+atomic_fetch_sub_release(V,X) __atomic_fetch_op{release}(X,-,V)
+
+atomic_dec_return(X) __atomic_op_return{mb}(X,-,1)
+atomic_dec_return_relaxed(X) __atomic_op_return{once}(X,-,1)
+atomic_dec_return_acquire(X) __atomic_op_return{acquire}(X,-,1)
+atomic_dec_return_release(X) __atomic_op_return{release}(X,-,1)
+atomic_fetch_dec(X) __atomic_fetch_op{mb}(X,-,1)
+atomic_fetch_dec_relaxed(X) __atomic_fetch_op{once}(X,-,1)
+atomic_fetch_dec_acquire(X) __atomic_fetch_op{acquire}(X,-,1)
+atomic_fetch_dec_release(X) __atomic_fetch_op{release}(X,-,1)
+
+atomic_xchg(X,V) __xchg{mb}(X,V)
+atomic_xchg_relaxed(X,V) __xchg{once}(X,V)
+atomic_xchg_release(X,V) __xchg{release}(X,V)
+atomic_xchg_acquire(X,V) __xchg{acquire}(X,V)
+atomic_cmpxchg(X,V,W) __cmpxchg{mb}(X,V,W)
+atomic_cmpxchg_relaxed(X,V,W) __cmpxchg{once}(X,V,W)
+atomic_cmpxchg_acquire(X,V,W) __cmpxchg{acquire}(X,V,W)
+atomic_cmpxchg_release(X,V,W) __cmpxchg{release}(X,V,W)
+
+atomic_sub_and_test(V,X) __atomic_op_return{mb}(X,-,V) == 0
+atomic_dec_and_test(X) __atomic_op_return{mb}(X,-,1) == 0
+atomic_inc_and_test(X) __atomic_op_return{mb}(X,+,1) == 0
+atomic_add_negative(V,X) __atomic_op_return{mb}(X,+,V) < 0
diff --git a/tools/memory-model/litmus-tests/.gitignore b/tools/memory-model/litmus-tests/.gitignore
new file mode 100644
index 000000000..6e2ddc541
--- /dev/null
+++ b/tools/memory-model/litmus-tests/.gitignore
@@ -0,0 +1 @@
+*.litmus.out
diff --git a/tools/memory-model/litmus-tests/CoRR+poonceonce+Once.litmus b/tools/memory-model/litmus-tests/CoRR+poonceonce+Once.litmus
new file mode 100644
index 000000000..967f9f2a6
--- /dev/null
+++ b/tools/memory-model/litmus-tests/CoRR+poonceonce+Once.litmus
@@ -0,0 +1,26 @@
+C CoRR+poonceonce+Once
+
+(*
+ * Result: Never
+ *
+ * Test of read-read coherence, that is, whether or not two successive
+ * reads from the same variable are ordered.
+ *)
+
+{}
+
+P0(int *x)
+{
+ WRITE_ONCE(*x, 1);
+}
+
+P1(int *x)
+{
+ int r0;
+ int r1;
+
+ r0 = READ_ONCE(*x);
+ r1 = READ_ONCE(*x);
+}
+
+exists (1:r0=1 /\ 1:r1=0)
diff --git a/tools/memory-model/litmus-tests/CoRW+poonceonce+Once.litmus b/tools/memory-model/litmus-tests/CoRW+poonceonce+Once.litmus
new file mode 100644
index 000000000..4635739f3
--- /dev/null
+++ b/tools/memory-model/litmus-tests/CoRW+poonceonce+Once.litmus
@@ -0,0 +1,25 @@
+C CoRW+poonceonce+Once
+
+(*
+ * Result: Never
+ *
+ * Test of read-write coherence, that is, whether or not a read from
+ * a given variable and a later write to that same variable are ordered.
+ *)
+
+{}
+
+P0(int *x)
+{
+ int r0;
+
+ r0 = READ_ONCE(*x);
+ WRITE_ONCE(*x, 1);
+}
+
+P1(int *x)
+{
+ WRITE_ONCE(*x, 2);
+}
+
+exists (x=2 /\ 0:r0=2)
diff --git a/tools/memory-model/litmus-tests/CoWR+poonceonce+Once.litmus b/tools/memory-model/litmus-tests/CoWR+poonceonce+Once.litmus
new file mode 100644
index 000000000..bb068c92d
--- /dev/null
+++ b/tools/memory-model/litmus-tests/CoWR+poonceonce+Once.litmus
@@ -0,0 +1,25 @@
+C CoWR+poonceonce+Once
+
+(*
+ * Result: Never
+ *
+ * Test of write-read coherence, that is, whether or not a write to a
+ * given variable and a later read from that same variable are ordered.
+ *)
+
+{}
+
+P0(int *x)
+{
+ int r0;
+
+ WRITE_ONCE(*x, 1);
+ r0 = READ_ONCE(*x);
+}
+
+P1(int *x)
+{
+ WRITE_ONCE(*x, 2);
+}
+
+exists (x=1 /\ 0:r0=2)
diff --git a/tools/memory-model/litmus-tests/CoWW+poonceonce.litmus b/tools/memory-model/litmus-tests/CoWW+poonceonce.litmus
new file mode 100644
index 000000000..0d9f0a958
--- /dev/null
+++ b/tools/memory-model/litmus-tests/CoWW+poonceonce.litmus
@@ -0,0 +1,18 @@
+C CoWW+poonceonce
+
+(*
+ * Result: Never
+ *
+ * Test of write-write coherence, that is, whether or not two successive
+ * writes to the same variable are ordered.
+ *)
+
+{}
+
+P0(int *x)
+{
+ WRITE_ONCE(*x, 1);
+ WRITE_ONCE(*x, 2);
+}
+
+exists (x=1)
diff --git a/tools/memory-model/litmus-tests/IRIW+fencembonceonces+OnceOnce.litmus b/tools/memory-model/litmus-tests/IRIW+fencembonceonces+OnceOnce.litmus
new file mode 100644
index 000000000..e729d2776
--- /dev/null
+++ b/tools/memory-model/litmus-tests/IRIW+fencembonceonces+OnceOnce.litmus
@@ -0,0 +1,45 @@
+C IRIW+fencembonceonces+OnceOnce
+
+(*
+ * Result: Never
+ *
+ * Test of independent reads from independent writes with smp_mb()
+ * between each pairs of reads. In other words, is smp_mb() sufficient to
+ * cause two different reading processes to agree on the order of a pair
+ * of writes, where each write is to a different variable by a different
+ * process? This litmus test exercises LKMM's "propagation" rule.
+ *)
+
+{}
+
+P0(int *x)
+{
+ WRITE_ONCE(*x, 1);
+}
+
+P1(int *x, int *y)
+{
+ int r0;
+ int r1;
+
+ r0 = READ_ONCE(*x);
+ smp_mb();
+ r1 = READ_ONCE(*y);
+}
+
+P2(int *y)
+{
+ WRITE_ONCE(*y, 1);
+}
+
+P3(int *x, int *y)
+{
+ int r0;
+ int r1;
+
+ r0 = READ_ONCE(*y);
+ smp_mb();
+ r1 = READ_ONCE(*x);
+}
+
+exists (1:r0=1 /\ 1:r1=0 /\ 3:r0=1 /\ 3:r1=0)
diff --git a/tools/memory-model/litmus-tests/IRIW+poonceonces+OnceOnce.litmus b/tools/memory-model/litmus-tests/IRIW+poonceonces+OnceOnce.litmus
new file mode 100644
index 000000000..4b54dd6a6
--- /dev/null
+++ b/tools/memory-model/litmus-tests/IRIW+poonceonces+OnceOnce.litmus
@@ -0,0 +1,43 @@
+C IRIW+poonceonces+OnceOnce
+
+(*
+ * Result: Sometimes
+ *
+ * Test of independent reads from independent writes with nothing
+ * between each pairs of reads. In other words, is anything at all
+ * needed to cause two different reading processes to agree on the order
+ * of a pair of writes, where each write is to a different variable by a
+ * different process?
+ *)
+
+{}
+
+P0(int *x)
+{
+ WRITE_ONCE(*x, 1);
+}
+
+P1(int *x, int *y)
+{
+ int r0;
+ int r1;
+
+ r0 = READ_ONCE(*x);
+ r1 = READ_ONCE(*y);
+}
+
+P2(int *y)
+{
+ WRITE_ONCE(*y, 1);
+}
+
+P3(int *x, int *y)
+{
+ int r0;
+ int r1;
+
+ r0 = READ_ONCE(*y);
+ r1 = READ_ONCE(*x);
+}
+
+exists (1:r0=1 /\ 1:r1=0 /\ 3:r0=1 /\ 3:r1=0)
diff --git a/tools/memory-model/litmus-tests/ISA2+pooncelock+pooncelock+pombonce.litmus b/tools/memory-model/litmus-tests/ISA2+pooncelock+pooncelock+pombonce.litmus
new file mode 100644
index 000000000..0f749e419
--- /dev/null
+++ b/tools/memory-model/litmus-tests/ISA2+pooncelock+pooncelock+pombonce.litmus
@@ -0,0 +1,41 @@
+C ISA2+pooncelock+pooncelock+pombonce
+
+(*
+ * Result: Sometimes
+ *
+ * This test shows that the ordering provided by a lock-protected S
+ * litmus test (P0() and P1()) are not visible to external process P2().
+ * This is likely to change soon.
+ *)
+
+{}
+
+P0(int *x, int *y, spinlock_t *mylock)
+{
+ spin_lock(mylock);
+ WRITE_ONCE(*x, 1);
+ WRITE_ONCE(*y, 1);
+ spin_unlock(mylock);
+}
+
+P1(int *y, int *z, spinlock_t *mylock)
+{
+ int r0;
+
+ spin_lock(mylock);
+ r0 = READ_ONCE(*y);
+ WRITE_ONCE(*z, 1);
+ spin_unlock(mylock);
+}
+
+P2(int *x, int *z)
+{
+ int r1;
+ int r2;
+
+ r2 = READ_ONCE(*z);
+ smp_mb();
+ r1 = READ_ONCE(*x);
+}
+
+exists (1:r0=1 /\ 2:r2=1 /\ 2:r1=0)
diff --git a/tools/memory-model/litmus-tests/ISA2+poonceonces.litmus b/tools/memory-model/litmus-tests/ISA2+poonceonces.litmus
new file mode 100644
index 000000000..b321aa6f4
--- /dev/null
+++ b/tools/memory-model/litmus-tests/ISA2+poonceonces.litmus
@@ -0,0 +1,37 @@
+C ISA2+poonceonces
+
+(*
+ * Result: Sometimes
+ *
+ * Given a release-acquire chain ordering the first process's store
+ * against the last process's load, is ordering preserved if all of the
+ * smp_store_release() invocations are replaced by WRITE_ONCE() and all
+ * of the smp_load_acquire() invocations are replaced by READ_ONCE()?
+ *)
+
+{}
+
+P0(int *x, int *y)
+{
+ WRITE_ONCE(*x, 1);
+ WRITE_ONCE(*y, 1);
+}
+
+P1(int *y, int *z)
+{
+ int r0;
+
+ r0 = READ_ONCE(*y);
+ WRITE_ONCE(*z, 1);
+}
+
+P2(int *x, int *z)
+{
+ int r0;
+ int r1;
+
+ r0 = READ_ONCE(*z);
+ r1 = READ_ONCE(*x);
+}
+
+exists (1:r0=1 /\ 2:r0=1 /\ 2:r1=0)
diff --git a/tools/memory-model/litmus-tests/ISA2+pooncerelease+poacquirerelease+poacquireonce.litmus b/tools/memory-model/litmus-tests/ISA2+pooncerelease+poacquirerelease+poacquireonce.litmus
new file mode 100644
index 000000000..025b0462e
--- /dev/null
+++ b/tools/memory-model/litmus-tests/ISA2+pooncerelease+poacquirerelease+poacquireonce.litmus
@@ -0,0 +1,39 @@
+C ISA2+pooncerelease+poacquirerelease+poacquireonce
+
+(*
+ * Result: Never
+ *
+ * This litmus test demonstrates that a release-acquire chain suffices
+ * to order P0()'s initial write against P2()'s final read. The reason
+ * that the release-acquire chain suffices is because in all but one
+ * case (P2() to P0()), each process reads from the preceding process's
+ * write. In memory-model-speak, there is only one non-reads-from
+ * (AKA non-rf) link, so release-acquire is all that is needed.
+ *)
+
+{}
+
+P0(int *x, int *y)
+{
+ WRITE_ONCE(*x, 1);
+ smp_store_release(y, 1);
+}
+
+P1(int *y, int *z)
+{
+ int r0;
+
+ r0 = smp_load_acquire(y);
+ smp_store_release(z, 1);
+}
+
+P2(int *x, int *z)
+{
+ int r0;
+ int r1;
+
+ r0 = smp_load_acquire(z);
+ r1 = READ_ONCE(*x);
+}
+
+exists (1:r0=1 /\ 2:r0=1 /\ 2:r1=0)
diff --git a/tools/memory-model/litmus-tests/LB+fencembonceonce+ctrlonceonce.litmus b/tools/memory-model/litmus-tests/LB+fencembonceonce+ctrlonceonce.litmus
new file mode 100644
index 000000000..4727f5aaf
--- /dev/null
+++ b/tools/memory-model/litmus-tests/LB+fencembonceonce+ctrlonceonce.litmus
@@ -0,0 +1,34 @@
+C LB+fencembonceonce+ctrlonceonce
+
+(*
+ * Result: Never
+ *
+ * This litmus test demonstrates that lightweight ordering suffices for
+ * the load-buffering pattern, in other words, preventing all processes
+ * reading from the preceding process's write. In this example, the
+ * combination of a control dependency and a full memory barrier are enough
+ * to do the trick. (But the full memory barrier could be replaced with
+ * another control dependency and order would still be maintained.)
+ *)
+
+{}
+
+P0(int *x, int *y)
+{
+ int r0;
+
+ r0 = READ_ONCE(*x);
+ if (r0)
+ WRITE_ONCE(*y, 1);
+}
+
+P1(int *x, int *y)
+{
+ int r0;
+
+ r0 = READ_ONCE(*y);
+ smp_mb();
+ WRITE_ONCE(*x, 1);
+}
+
+exists (0:r0=1 /\ 1:r0=1)
diff --git a/tools/memory-model/litmus-tests/LB+poacquireonce+pooncerelease.litmus b/tools/memory-model/litmus-tests/LB+poacquireonce+pooncerelease.litmus
new file mode 100644
index 000000000..07b9904b0
--- /dev/null
+++ b/tools/memory-model/litmus-tests/LB+poacquireonce+pooncerelease.litmus
@@ -0,0 +1,29 @@
+C LB+poacquireonce+pooncerelease
+
+(*
+ * Result: Never
+ *
+ * Does a release-acquire pair suffice for the load-buffering litmus
+ * test, where each process reads from one of two variables then writes
+ * to the other?
+ *)
+
+{}
+
+P0(int *x, int *y)
+{
+ int r0;
+
+ r0 = READ_ONCE(*x);
+ smp_store_release(y, 1);
+}
+
+P1(int *x, int *y)
+{
+ int r0;
+
+ r0 = smp_load_acquire(y);
+ WRITE_ONCE(*x, 1);
+}
+
+exists (0:r0=1 /\ 1:r0=1)
diff --git a/tools/memory-model/litmus-tests/LB+poonceonces.litmus b/tools/memory-model/litmus-tests/LB+poonceonces.litmus
new file mode 100644
index 000000000..74c49cb3c
--- /dev/null
+++ b/tools/memory-model/litmus-tests/LB+poonceonces.litmus
@@ -0,0 +1,28 @@
+C LB+poonceonces
+
+(*
+ * Result: Sometimes
+ *
+ * Can the counter-intuitive outcome for the load-buffering pattern
+ * be prevented even with no explicit ordering?
+ *)
+
+{}
+
+P0(int *x, int *y)
+{
+ int r0;
+
+ r0 = READ_ONCE(*x);
+ WRITE_ONCE(*y, 1);
+}
+
+P1(int *x, int *y)
+{
+ int r0;
+
+ r0 = READ_ONCE(*y);
+ WRITE_ONCE(*x, 1);
+}
+
+exists (0:r0=1 /\ 1:r0=1)
diff --git a/tools/memory-model/litmus-tests/MP+fencewmbonceonce+fencermbonceonce.litmus b/tools/memory-model/litmus-tests/MP+fencewmbonceonce+fencermbonceonce.litmus
new file mode 100644
index 000000000..a273da9fa
--- /dev/null
+++ b/tools/memory-model/litmus-tests/MP+fencewmbonceonce+fencermbonceonce.litmus
@@ -0,0 +1,30 @@
+C MP+fencewmbonceonce+fencermbonceonce
+
+(*
+ * Result: Never
+ *
+ * This litmus test demonstrates that smp_wmb() and smp_rmb() provide
+ * sufficient ordering for the message-passing pattern. However, it
+ * is usually better to use smp_store_release() and smp_load_acquire().
+ *)
+
+{}
+
+P0(int *x, int *y)
+{
+ WRITE_ONCE(*x, 1);
+ smp_wmb();
+ WRITE_ONCE(*y, 1);
+}
+
+P1(int *x, int *y)
+{
+ int r0;
+ int r1;
+
+ r0 = READ_ONCE(*y);
+ smp_rmb();
+ r1 = READ_ONCE(*x);
+}
+
+exists (1:r0=1 /\ 1:r1=0)
diff --git a/tools/memory-model/litmus-tests/MP+onceassign+derefonce.litmus b/tools/memory-model/litmus-tests/MP+onceassign+derefonce.litmus
new file mode 100644
index 000000000..97731b4bb
--- /dev/null
+++ b/tools/memory-model/litmus-tests/MP+onceassign+derefonce.litmus
@@ -0,0 +1,34 @@
+C MP+onceassign+derefonce
+
+(*
+ * Result: Never
+ *
+ * This litmus test demonstrates that rcu_assign_pointer() and
+ * rcu_dereference() suffice to ensure that an RCU reader will not see
+ * pre-initialization garbage when it traverses an RCU-protected data
+ * structure containing a newly inserted element.
+ *)
+
+{
+y=z;
+z=0;
+}
+
+P0(int *x, int **y)
+{
+ WRITE_ONCE(*x, 1);
+ rcu_assign_pointer(*y, x);
+}
+
+P1(int *x, int **y)
+{
+ int *r0;
+ int r1;
+
+ rcu_read_lock();
+ r0 = rcu_dereference(*y);
+ r1 = READ_ONCE(*r0);
+ rcu_read_unlock();
+}
+
+exists (1:r0=x /\ 1:r1=0)
diff --git a/tools/memory-model/litmus-tests/MP+polockmbonce+poacquiresilsil.litmus b/tools/memory-model/litmus-tests/MP+polockmbonce+poacquiresilsil.litmus
new file mode 100644
index 000000000..50f4d62bb
--- /dev/null
+++ b/tools/memory-model/litmus-tests/MP+polockmbonce+poacquiresilsil.litmus
@@ -0,0 +1,35 @@
+C MP+polockmbonce+poacquiresilsil
+
+(*
+ * Result: Never
+ *
+ * Do spinlocks combined with smp_mb__after_spinlock() provide order
+ * to outside observers using spin_is_locked() to sense the lock-held
+ * state, ordered by acquire? Note that when the first spin_is_locked()
+ * returns false and the second true, we know that the smp_load_acquire()
+ * executed before the lock was acquired (loosely speaking).
+ *)
+
+{
+}
+
+P0(spinlock_t *lo, int *x)
+{
+ spin_lock(lo);
+ smp_mb__after_spinlock();
+ WRITE_ONCE(*x, 1);
+ spin_unlock(lo);
+}
+
+P1(spinlock_t *lo, int *x)
+{
+ int r1;
+ int r2;
+ int r3;
+
+ r1 = smp_load_acquire(x);
+ r2 = spin_is_locked(lo);
+ r3 = spin_is_locked(lo);
+}
+
+exists (1:r1=1 /\ 1:r2=0 /\ 1:r3=1)
diff --git a/tools/memory-model/litmus-tests/MP+polockonce+poacquiresilsil.litmus b/tools/memory-model/litmus-tests/MP+polockonce+poacquiresilsil.litmus
new file mode 100644
index 000000000..abf81e7a0
--- /dev/null
+++ b/tools/memory-model/litmus-tests/MP+polockonce+poacquiresilsil.litmus
@@ -0,0 +1,34 @@
+C MP+polockonce+poacquiresilsil
+
+(*
+ * Result: Sometimes
+ *
+ * Do spinlocks provide order to outside observers using spin_is_locked()
+ * to sense the lock-held state, ordered by acquire? Note that when the
+ * first spin_is_locked() returns false and the second true, we know that
+ * the smp_load_acquire() executed before the lock was acquired (loosely
+ * speaking).
+ *)
+
+{
+}
+
+P0(spinlock_t *lo, int *x)
+{
+ spin_lock(lo);
+ WRITE_ONCE(*x, 1);
+ spin_unlock(lo);
+}
+
+P1(spinlock_t *lo, int *x)
+{
+ int r1;
+ int r2;
+ int r3;
+
+ r1 = smp_load_acquire(x);
+ r2 = spin_is_locked(lo);
+ r3 = spin_is_locked(lo);
+}
+
+exists (1:r1=1 /\ 1:r2=0 /\ 1:r3=1)
diff --git a/tools/memory-model/litmus-tests/MP+polocks.litmus b/tools/memory-model/litmus-tests/MP+polocks.litmus
new file mode 100644
index 000000000..712a4fcdf
--- /dev/null
+++ b/tools/memory-model/litmus-tests/MP+polocks.litmus
@@ -0,0 +1,35 @@
+C MP+polocks
+
+(*
+ * Result: Never
+ *
+ * This litmus test demonstrates how lock acquisitions and releases can
+ * stand in for smp_load_acquire() and smp_store_release(), respectively.
+ * In other words, when holding a given lock (or indeed after releasing a
+ * given lock), a CPU is not only guaranteed to see the accesses that other
+ * CPUs made while previously holding that lock, it is also guaranteed
+ * to see all prior accesses by those other CPUs.
+ *)
+
+{}
+
+P0(int *x, int *y, spinlock_t *mylock)
+{
+ WRITE_ONCE(*x, 1);
+ spin_lock(mylock);
+ WRITE_ONCE(*y, 1);
+ spin_unlock(mylock);
+}
+
+P1(int *x, int *y, spinlock_t *mylock)
+{
+ int r0;
+ int r1;
+
+ spin_lock(mylock);
+ r0 = READ_ONCE(*y);
+ spin_unlock(mylock);
+ r1 = READ_ONCE(*x);
+}
+
+exists (1:r0=1 /\ 1:r1=0)
diff --git a/tools/memory-model/litmus-tests/MP+poonceonces.litmus b/tools/memory-model/litmus-tests/MP+poonceonces.litmus
new file mode 100644
index 000000000..b2b60b84f
--- /dev/null
+++ b/tools/memory-model/litmus-tests/MP+poonceonces.litmus
@@ -0,0 +1,27 @@
+C MP+poonceonces
+
+(*
+ * Result: Maybe
+ *
+ * Can the counter-intuitive message-passing outcome be prevented with
+ * no ordering at all?
+ *)
+
+{}
+
+P0(int *x, int *y)
+{
+ WRITE_ONCE(*x, 1);
+ WRITE_ONCE(*y, 1);
+}
+
+P1(int *x, int *y)
+{
+ int r0;
+ int r1;
+
+ r0 = READ_ONCE(*y);
+ r1 = READ_ONCE(*x);
+}
+
+exists (1:r0=1 /\ 1:r1=0)
diff --git a/tools/memory-model/litmus-tests/MP+pooncerelease+poacquireonce.litmus b/tools/memory-model/litmus-tests/MP+pooncerelease+poacquireonce.litmus
new file mode 100644
index 000000000..d52c68429
--- /dev/null
+++ b/tools/memory-model/litmus-tests/MP+pooncerelease+poacquireonce.litmus
@@ -0,0 +1,28 @@
+C MP+pooncerelease+poacquireonce
+
+(*
+ * Result: Never
+ *
+ * This litmus test demonstrates that smp_store_release() and
+ * smp_load_acquire() provide sufficient ordering for the message-passing
+ * pattern.
+ *)
+
+{}
+
+P0(int *x, int *y)
+{
+ WRITE_ONCE(*x, 1);
+ smp_store_release(y, 1);
+}
+
+P1(int *x, int *y)
+{
+ int r0;
+ int r1;
+
+ r0 = smp_load_acquire(y);
+ r1 = READ_ONCE(*x);
+}
+
+exists (1:r0=1 /\ 1:r1=0)
diff --git a/tools/memory-model/litmus-tests/MP+porevlocks.litmus b/tools/memory-model/litmus-tests/MP+porevlocks.litmus
new file mode 100644
index 000000000..72c9276b3
--- /dev/null
+++ b/tools/memory-model/litmus-tests/MP+porevlocks.litmus
@@ -0,0 +1,35 @@
+C MP+porevlocks
+
+(*
+ * Result: Never
+ *
+ * This litmus test demonstrates how lock acquisitions and releases can
+ * stand in for smp_load_acquire() and smp_store_release(), respectively.
+ * In other words, when holding a given lock (or indeed after releasing a
+ * given lock), a CPU is not only guaranteed to see the accesses that other
+ * CPUs made while previously holding that lock, it is also guaranteed to
+ * see all prior accesses by those other CPUs.
+ *)
+
+{}
+
+P0(int *x, int *y, spinlock_t *mylock)
+{
+ int r0;
+ int r1;
+
+ r0 = READ_ONCE(*y);
+ spin_lock(mylock);
+ r1 = READ_ONCE(*x);
+ spin_unlock(mylock);
+}
+
+P1(int *x, int *y, spinlock_t *mylock)
+{
+ spin_lock(mylock);
+ WRITE_ONCE(*x, 1);
+ spin_unlock(mylock);
+ WRITE_ONCE(*y, 1);
+}
+
+exists (0:r0=1 /\ 0:r1=0)
diff --git a/tools/memory-model/litmus-tests/R+fencembonceonces.litmus b/tools/memory-model/litmus-tests/R+fencembonceonces.litmus
new file mode 100644
index 000000000..222a0b850
--- /dev/null
+++ b/tools/memory-model/litmus-tests/R+fencembonceonces.litmus
@@ -0,0 +1,30 @@
+C R+fencembonceonces
+
+(*
+ * Result: Never
+ *
+ * This is the fully ordered (via smp_mb()) version of one of the classic
+ * counterintuitive litmus tests that illustrates the effects of store
+ * propagation delays. Note that weakening either of the barriers would
+ * cause the resulting test to be allowed.
+ *)
+
+{}
+
+P0(int *x, int *y)
+{
+ WRITE_ONCE(*x, 1);
+ smp_mb();
+ WRITE_ONCE(*y, 1);
+}
+
+P1(int *x, int *y)
+{
+ int r0;
+
+ WRITE_ONCE(*y, 2);
+ smp_mb();
+ r0 = READ_ONCE(*x);
+}
+
+exists (y=2 /\ 1:r0=0)
diff --git a/tools/memory-model/litmus-tests/R+poonceonces.litmus b/tools/memory-model/litmus-tests/R+poonceonces.litmus
new file mode 100644
index 000000000..5386f128a
--- /dev/null
+++ b/tools/memory-model/litmus-tests/R+poonceonces.litmus
@@ -0,0 +1,27 @@
+C R+poonceonces
+
+(*
+ * Result: Sometimes
+ *
+ * This is the unordered (thus lacking smp_mb()) version of one of the
+ * classic counterintuitive litmus tests that illustrates the effects of
+ * store propagation delays.
+ *)
+
+{}
+
+P0(int *x, int *y)
+{
+ WRITE_ONCE(*x, 1);
+ WRITE_ONCE(*y, 1);
+}
+
+P1(int *x, int *y)
+{
+ int r0;
+
+ WRITE_ONCE(*y, 2);
+ r0 = READ_ONCE(*x);
+}
+
+exists (y=2 /\ 1:r0=0)
diff --git a/tools/memory-model/litmus-tests/README b/tools/memory-model/litmus-tests/README
new file mode 100644
index 000000000..4581ec2d3
--- /dev/null
+++ b/tools/memory-model/litmus-tests/README
@@ -0,0 +1,153 @@
+This directory contains the following litmus tests:
+
+CoRR+poonceonce+Once.litmus
+ Test of read-read coherence, that is, whether or not two
+ successive reads from the same variable are ordered.
+
+CoRW+poonceonce+Once.litmus
+ Test of read-write coherence, that is, whether or not a read
+ from a given variable followed by a write to that same variable
+ are ordered.
+
+CoWR+poonceonce+Once.litmus
+ Test of write-read coherence, that is, whether or not a write
+ to a given variable followed by a read from that same variable
+ are ordered.
+
+CoWW+poonceonce.litmus
+ Test of write-write coherence, that is, whether or not two
+ successive writes to the same variable are ordered.
+
+IRIW+fencembonceonces+OnceOnce.litmus
+ Test of independent reads from independent writes with smp_mb()
+ between each pairs of reads. In other words, is smp_mb()
+ sufficient to cause two different reading processes to agree on
+ the order of a pair of writes, where each write is to a different
+ variable by a different process? This litmus test is forbidden
+ by LKMM's propagation rule.
+
+IRIW+poonceonces+OnceOnce.litmus
+ Test of independent reads from independent writes with nothing
+ between each pairs of reads. In other words, is anything at all
+ needed to cause two different reading processes to agree on the
+ order of a pair of writes, where each write is to a different
+ variable by a different process?
+
+ISA2+pooncelock+pooncelock+pombonce.litmus
+ Tests whether the ordering provided by a lock-protected S
+ litmus test is visible to an external process whose accesses are
+ separated by smp_mb(). This addition of an external process to
+ S is otherwise known as ISA2.
+
+ISA2+poonceonces.litmus
+ As below, but with store-release replaced with WRITE_ONCE()
+ and load-acquire replaced with READ_ONCE().
+
+ISA2+pooncerelease+poacquirerelease+poacquireonce.litmus
+ Can a release-acquire chain order a prior store against
+ a later load?
+
+LB+fencembonceonce+ctrlonceonce.litmus
+ Does a control dependency and an smp_mb() suffice for the
+ load-buffering litmus test, where each process reads from one
+ of two variables then writes to the other?
+
+LB+poacquireonce+pooncerelease.litmus
+ Does a release-acquire pair suffice for the load-buffering
+ litmus test, where each process reads from one of two variables then
+ writes to the other?
+
+LB+poonceonces.litmus
+ As above, but with store-release replaced with WRITE_ONCE()
+ and load-acquire replaced with READ_ONCE().
+
+MP+onceassign+derefonce.litmus
+ As below, but with rcu_assign_pointer() and an rcu_dereference().
+
+MP+polockmbonce+poacquiresilsil.litmus
+ Protect the access with a lock and an smp_mb__after_spinlock()
+ in one process, and use an acquire load followed by a pair of
+ spin_is_locked() calls in the other process.
+
+MP+polockonce+poacquiresilsil.litmus
+ Protect the access with a lock in one process, and use an
+ acquire load followed by a pair of spin_is_locked() calls
+ in the other process.
+
+MP+polocks.litmus
+ As below, but with the second access of the writer process
+ and the first access of reader process protected by a lock.
+
+MP+poonceonces.litmus
+ As below, but without the smp_rmb() and smp_wmb().
+
+MP+pooncerelease+poacquireonce.litmus
+ As below, but with a release-acquire chain.
+
+MP+porevlocks.litmus
+ As below, but with the first access of the writer process
+ and the second access of reader process protected by a lock.
+
+MP+fencewmbonceonce+fencermbonceonce.litmus
+ Does a smp_wmb() (between the stores) and an smp_rmb() (between
+ the loads) suffice for the message-passing litmus test, where one
+ process writes data and then a flag, and the other process reads
+ the flag and then the data. (This is similar to the ISA2 tests,
+ but with two processes instead of three.)
+
+R+fencembonceonces.litmus
+ This is the fully ordered (via smp_mb()) version of one of
+ the classic counterintuitive litmus tests that illustrates the
+ effects of store propagation delays.
+
+R+poonceonces.litmus
+ As above, but without the smp_mb() invocations.
+
+SB+fencembonceonces.litmus
+ This is the fully ordered (again, via smp_mb() version of store
+ buffering, which forms the core of Dekker's mutual-exclusion
+ algorithm.
+
+SB+poonceonces.litmus
+ As above, but without the smp_mb() invocations.
+
+SB+rfionceonce-poonceonces.litmus
+ This litmus test demonstrates that LKMM is not fully multicopy
+ atomic. (Neither is it other multicopy atomic.) This litmus test
+ also demonstrates the "locations" debugging aid, which designates
+ additional registers and locations to be printed out in the dump
+ of final states in the herd7 output. Without the "locations"
+ statement, only those registers and locations mentioned in the
+ "exists" clause will be printed.
+
+S+poonceonces.litmus
+ As below, but without the smp_wmb() and acquire load.
+
+S+fencewmbonceonce+poacquireonce.litmus
+ Can a smp_wmb(), instead of a release, and an acquire order
+ a prior store against a subsequent store?
+
+WRC+poonceonces+Once.litmus
+WRC+pooncerelease+fencermbonceonce+Once.litmus
+ These two are members of an extension of the MP litmus-test
+ class in which the first write is moved to a separate process.
+ The second is forbidden because smp_store_release() is
+ A-cumulative in LKMM.
+
+Z6.0+pooncelock+pooncelock+pombonce.litmus
+ Is the ordering provided by a spin_unlock() and a subsequent
+ spin_lock() sufficient to make ordering apparent to accesses
+ by a process not holding the lock?
+
+Z6.0+pooncelock+poonceLock+pombonce.litmus
+ As above, but with smp_mb__after_spinlock() immediately
+ following the spin_lock().
+
+Z6.0+pooncerelease+poacquirerelease+fencembonceonce.litmus
+ Is the ordering provided by a release-acquire chain sufficient
+ to make ordering apparent to accesses by a process that does
+ not participate in that release-acquire chain?
+
+A great many more litmus tests are available here:
+
+ https://github.com/paulmckrcu/litmus
diff --git a/tools/memory-model/litmus-tests/S+fencewmbonceonce+poacquireonce.litmus b/tools/memory-model/litmus-tests/S+fencewmbonceonce+poacquireonce.litmus
new file mode 100644
index 000000000..18479823c
--- /dev/null
+++ b/tools/memory-model/litmus-tests/S+fencewmbonceonce+poacquireonce.litmus
@@ -0,0 +1,27 @@
+C S+fencewmbonceonce+poacquireonce
+
+(*
+ * Result: Never
+ *
+ * Can a smp_wmb(), instead of a release, and an acquire order a prior
+ * store against a subsequent store?
+ *)
+
+{}
+
+P0(int *x, int *y)
+{
+ WRITE_ONCE(*x, 2);
+ smp_wmb();
+ WRITE_ONCE(*y, 1);
+}
+
+P1(int *x, int *y)
+{
+ int r0;
+
+ r0 = smp_load_acquire(y);
+ WRITE_ONCE(*x, 1);
+}
+
+exists (x=2 /\ 1:r0=1)
diff --git a/tools/memory-model/litmus-tests/S+poonceonces.litmus b/tools/memory-model/litmus-tests/S+poonceonces.litmus
new file mode 100644
index 000000000..8c9c2f81a
--- /dev/null
+++ b/tools/memory-model/litmus-tests/S+poonceonces.litmus
@@ -0,0 +1,28 @@
+C S+poonceonces
+
+(*
+ * Result: Sometimes
+ *
+ * Starting with a two-process release-acquire chain ordering P0()'s
+ * first store against P1()'s final load, if the smp_store_release()
+ * is replaced by WRITE_ONCE() and the smp_load_acquire() replaced by
+ * READ_ONCE(), is ordering preserved?
+ *)
+
+{}
+
+P0(int *x, int *y)
+{
+ WRITE_ONCE(*x, 2);
+ WRITE_ONCE(*y, 1);
+}
+
+P1(int *x, int *y)
+{
+ int r0;
+
+ r0 = READ_ONCE(*y);
+ WRITE_ONCE(*x, 1);
+}
+
+exists (x=2 /\ 1:r0=1)
diff --git a/tools/memory-model/litmus-tests/SB+fencembonceonces.litmus b/tools/memory-model/litmus-tests/SB+fencembonceonces.litmus
new file mode 100644
index 000000000..ed5fff18d
--- /dev/null
+++ b/tools/memory-model/litmus-tests/SB+fencembonceonces.litmus
@@ -0,0 +1,32 @@
+C SB+fencembonceonces
+
+(*
+ * Result: Never
+ *
+ * This litmus test demonstrates that full memory barriers suffice to
+ * order the store-buffering pattern, where each process writes to the
+ * variable that the preceding process reads. (Locking and RCU can also
+ * suffice, but not much else.)
+ *)
+
+{}
+
+P0(int *x, int *y)
+{
+ int r0;
+
+ WRITE_ONCE(*x, 1);
+ smp_mb();
+ r0 = READ_ONCE(*y);
+}
+
+P1(int *x, int *y)
+{
+ int r0;
+
+ WRITE_ONCE(*y, 1);
+ smp_mb();
+ r0 = READ_ONCE(*x);
+}
+
+exists (0:r0=0 /\ 1:r0=0)
diff --git a/tools/memory-model/litmus-tests/SB+poonceonces.litmus b/tools/memory-model/litmus-tests/SB+poonceonces.litmus
new file mode 100644
index 000000000..10d550730
--- /dev/null
+++ b/tools/memory-model/litmus-tests/SB+poonceonces.litmus
@@ -0,0 +1,29 @@
+C SB+poonceonces
+
+(*
+ * Result: Sometimes
+ *
+ * This litmus test demonstrates that at least some ordering is required
+ * to order the store-buffering pattern, where each process writes to the
+ * variable that the preceding process reads.
+ *)
+
+{}
+
+P0(int *x, int *y)
+{
+ int r0;
+
+ WRITE_ONCE(*x, 1);
+ r0 = READ_ONCE(*y);
+}
+
+P1(int *x, int *y)
+{
+ int r0;
+
+ WRITE_ONCE(*y, 1);
+ r0 = READ_ONCE(*x);
+}
+
+exists (0:r0=0 /\ 1:r0=0)
diff --git a/tools/memory-model/litmus-tests/SB+rfionceonce-poonceonces.litmus b/tools/memory-model/litmus-tests/SB+rfionceonce-poonceonces.litmus
new file mode 100644
index 000000000..04a166036
--- /dev/null
+++ b/tools/memory-model/litmus-tests/SB+rfionceonce-poonceonces.litmus
@@ -0,0 +1,32 @@
+C SB+rfionceonce-poonceonces
+
+(*
+ * Result: Sometimes
+ *
+ * This litmus test demonstrates that LKMM is not fully multicopy atomic.
+ *)
+
+{}
+
+P0(int *x, int *y)
+{
+ int r1;
+ int r2;
+
+ WRITE_ONCE(*x, 1);
+ r1 = READ_ONCE(*x);
+ r2 = READ_ONCE(*y);
+}
+
+P1(int *x, int *y)
+{
+ int r3;
+ int r4;
+
+ WRITE_ONCE(*y, 1);
+ r3 = READ_ONCE(*y);
+ r4 = READ_ONCE(*x);
+}
+
+locations [0:r1; 1:r3; x; y] (* Debug aid: Print things not in "exists". *)
+exists (0:r2=0 /\ 1:r4=0)
diff --git a/tools/memory-model/litmus-tests/WRC+poonceonces+Once.litmus b/tools/memory-model/litmus-tests/WRC+poonceonces+Once.litmus
new file mode 100644
index 000000000..6a2bc12a1
--- /dev/null
+++ b/tools/memory-model/litmus-tests/WRC+poonceonces+Once.litmus
@@ -0,0 +1,35 @@
+C WRC+poonceonces+Once
+
+(*
+ * Result: Sometimes
+ *
+ * This litmus test is an extension of the message-passing pattern,
+ * where the first write is moved to a separate process. Note that this
+ * test has no ordering at all.
+ *)
+
+{}
+
+P0(int *x)
+{
+ WRITE_ONCE(*x, 1);
+}
+
+P1(int *x, int *y)
+{
+ int r0;
+
+ r0 = READ_ONCE(*x);
+ WRITE_ONCE(*y, 1);
+}
+
+P2(int *x, int *y)
+{
+ int r0;
+ int r1;
+
+ r0 = READ_ONCE(*y);
+ r1 = READ_ONCE(*x);
+}
+
+exists (1:r0=1 /\ 2:r0=1 /\ 2:r1=0)
diff --git a/tools/memory-model/litmus-tests/WRC+pooncerelease+fencermbonceonce+Once.litmus b/tools/memory-model/litmus-tests/WRC+pooncerelease+fencermbonceonce+Once.litmus
new file mode 100644
index 000000000..e9947250d
--- /dev/null
+++ b/tools/memory-model/litmus-tests/WRC+pooncerelease+fencermbonceonce+Once.litmus
@@ -0,0 +1,38 @@
+C WRC+pooncerelease+fencermbonceonce+Once
+
+(*
+ * Result: Never
+ *
+ * This litmus test is an extension of the message-passing pattern, where
+ * the first write is moved to a separate process. Because it features
+ * a release and a read memory barrier, it should be forbidden. More
+ * specifically, this litmus test is forbidden because smp_store_release()
+ * is A-cumulative in LKMM.
+ *)
+
+{}
+
+P0(int *x)
+{
+ WRITE_ONCE(*x, 1);
+}
+
+P1(int *x, int *y)
+{
+ int r0;
+
+ r0 = READ_ONCE(*x);
+ smp_store_release(y, 1);
+}
+
+P2(int *x, int *y)
+{
+ int r0;
+ int r1;
+
+ r0 = READ_ONCE(*y);
+ smp_rmb();
+ r1 = READ_ONCE(*x);
+}
+
+exists (1:r0=1 /\ 2:r0=1 /\ 2:r1=0)
diff --git a/tools/memory-model/litmus-tests/Z6.0+pooncelock+poonceLock+pombonce.litmus b/tools/memory-model/litmus-tests/Z6.0+pooncelock+poonceLock+pombonce.litmus
new file mode 100644
index 000000000..415248fb6
--- /dev/null
+++ b/tools/memory-model/litmus-tests/Z6.0+pooncelock+poonceLock+pombonce.litmus
@@ -0,0 +1,42 @@
+C Z6.0+pooncelock+poonceLock+pombonce
+
+(*
+ * Result: Never
+ *
+ * This litmus test demonstrates how smp_mb__after_spinlock() may be
+ * used to ensure that accesses in different critical sections for a
+ * given lock running on different CPUs are nevertheless seen in order
+ * by CPUs not holding that lock.
+ *)
+
+{}
+
+P0(int *x, int *y, spinlock_t *mylock)
+{
+ spin_lock(mylock);
+ WRITE_ONCE(*x, 1);
+ WRITE_ONCE(*y, 1);
+ spin_unlock(mylock);
+}
+
+P1(int *y, int *z, spinlock_t *mylock)
+{
+ int r0;
+
+ spin_lock(mylock);
+ smp_mb__after_spinlock();
+ r0 = READ_ONCE(*y);
+ WRITE_ONCE(*z, 1);
+ spin_unlock(mylock);
+}
+
+P2(int *x, int *z)
+{
+ int r1;
+
+ WRITE_ONCE(*z, 2);
+ smp_mb();
+ r1 = READ_ONCE(*x);
+}
+
+exists (1:r0=1 /\ z=2 /\ 2:r1=0)
diff --git a/tools/memory-model/litmus-tests/Z6.0+pooncelock+pooncelock+pombonce.litmus b/tools/memory-model/litmus-tests/Z6.0+pooncelock+pooncelock+pombonce.litmus
new file mode 100644
index 000000000..10a2aa04c
--- /dev/null
+++ b/tools/memory-model/litmus-tests/Z6.0+pooncelock+pooncelock+pombonce.litmus
@@ -0,0 +1,40 @@
+C Z6.0+pooncelock+pooncelock+pombonce
+
+(*
+ * Result: Sometimes
+ *
+ * This example demonstrates that a pair of accesses made by different
+ * processes each while holding a given lock will not necessarily be
+ * seen as ordered by a third process not holding that lock.
+ *)
+
+{}
+
+P0(int *x, int *y, spinlock_t *mylock)
+{
+ spin_lock(mylock);
+ WRITE_ONCE(*x, 1);
+ WRITE_ONCE(*y, 1);
+ spin_unlock(mylock);
+}
+
+P1(int *y, int *z, spinlock_t *mylock)
+{
+ int r0;
+
+ spin_lock(mylock);
+ r0 = READ_ONCE(*y);
+ WRITE_ONCE(*z, 1);
+ spin_unlock(mylock);
+}
+
+P2(int *x, int *z)
+{
+ int r1;
+
+ WRITE_ONCE(*z, 2);
+ smp_mb();
+ r1 = READ_ONCE(*x);
+}
+
+exists (1:r0=1 /\ z=2 /\ 2:r1=0)
diff --git a/tools/memory-model/litmus-tests/Z6.0+pooncerelease+poacquirerelease+fencembonceonce.litmus b/tools/memory-model/litmus-tests/Z6.0+pooncerelease+poacquirerelease+fencembonceonce.litmus
new file mode 100644
index 000000000..88e70b87a
--- /dev/null
+++ b/tools/memory-model/litmus-tests/Z6.0+pooncerelease+poacquirerelease+fencembonceonce.litmus
@@ -0,0 +1,42 @@
+C Z6.0+pooncerelease+poacquirerelease+fencembonceonce
+
+(*
+ * Result: Sometimes
+ *
+ * This litmus test shows that a release-acquire chain, while sufficient
+ * when there is but one non-reads-from (AKA non-rf) link, does not suffice
+ * if there is more than one. Of the three processes, only P1() reads from
+ * P0's write, which means that there are two non-rf links: P1() to P2()
+ * is a write-to-write link (AKA a "coherence" or just "co" link) and P2()
+ * to P0() is a read-to-write link (AKA a "from-reads" or just "fr" link).
+ * When there are two or more non-rf links, you typically will need one
+ * full barrier for each non-rf link. (Exceptions include some cases
+ * involving locking.)
+ *)
+
+{}
+
+P0(int *x, int *y)
+{
+ WRITE_ONCE(*x, 1);
+ smp_store_release(y, 1);
+}
+
+P1(int *y, int *z)
+{
+ int r0;
+
+ r0 = smp_load_acquire(y);
+ smp_store_release(z, 1);
+}
+
+P2(int *x, int *z)
+{
+ int r1;
+
+ WRITE_ONCE(*z, 2);
+ smp_mb();
+ r1 = READ_ONCE(*x);
+}
+
+exists (1:r0=1 /\ z=2 /\ 2:r1=0)
diff --git a/tools/memory-model/lock.cat b/tools/memory-model/lock.cat
new file mode 100644
index 000000000..305ded17e
--- /dev/null
+++ b/tools/memory-model/lock.cat
@@ -0,0 +1,146 @@
+// SPDX-License-Identifier: GPL-2.0+
+(*
+ * Copyright (C) 2016 Luc Maranget <luc.maranget@inria.fr> for Inria
+ * Copyright (C) 2017 Alan Stern <stern@rowland.harvard.edu>
+ *)
+
+(*
+ * Generate coherence orders and handle lock operations
+ *
+ * Warning: spin_is_locked() crashes herd7 versions strictly before 7.48.
+ * spin_is_locked() is functional from herd7 version 7.49.
+ *)
+
+include "cross.cat"
+
+(*
+ * The lock-related events generated by herd are as follows:
+ *
+ * LKR Lock-Read: the read part of a spin_lock() or successful
+ * spin_trylock() read-modify-write event pair
+ * LKW Lock-Write: the write part of a spin_lock() or successful
+ * spin_trylock() RMW event pair
+ * UL Unlock: a spin_unlock() event
+ * LF Lock-Fail: a failed spin_trylock() event
+ * RL Read-Locked: a spin_is_locked() event which returns True
+ * RU Read-Unlocked: a spin_is_locked() event which returns False
+ *
+ * LKR and LKW events always come paired, like all RMW event sequences.
+ *
+ * LKR, LF, RL, and RU are read events; LKR has Acquire ordering.
+ * LKW and UL are write events; UL has Release ordering.
+ * LKW, LF, RL, and RU have no ordering properties.
+ *)
+
+(* Backward compatibility *)
+let RL = try RL with emptyset
+let RU = try RU with emptyset
+
+(* Treat RL as a kind of LF: a read with no ordering properties *)
+let LF = LF | RL
+
+(* There should be no ordinary R or W accesses to spinlocks *)
+let ALL-LOCKS = LKR | LKW | UL | LF | RU
+flag ~empty [M \ IW] ; loc ; [ALL-LOCKS] as mixed-lock-accesses
+
+(* Link Lock-Reads to their RMW-partner Lock-Writes *)
+let lk-rmw = ([LKR] ; po-loc ; [LKW]) \ (po ; po)
+let rmw = rmw | lk-rmw
+
+(* The litmus test is invalid if an LKR/LKW event is not part of an RMW pair *)
+flag ~empty LKW \ range(lk-rmw) as unpaired-LKW
+flag ~empty LKR \ domain(lk-rmw) as unpaired-LKR
+
+(*
+ * An LKR must always see an unlocked value; spin_lock() calls nested
+ * inside a critical section (for the same lock) always deadlock.
+ *)
+empty ([LKW] ; po-loc ; [LKR]) \ (po-loc ; [UL] ; po-loc) as lock-nest
+
+(* The final value of a spinlock should not be tested *)
+flag ~empty [FW] ; loc ; [ALL-LOCKS] as lock-final
+
+(*
+ * Put lock operations in their appropriate classes, but leave UL out of W
+ * until after the co relation has been generated.
+ *)
+let R = R | LKR | LF | RU
+let W = W | LKW
+
+let Release = Release | UL
+let Acquire = Acquire | LKR
+
+(* Match LKW events to their corresponding UL events *)
+let critical = ([LKW] ; po-loc ; [UL]) \ (po-loc ; [LKW | UL] ; po-loc)
+
+flag ~empty UL \ range(critical) as unmatched-unlock
+
+(* Allow up to one unmatched LKW per location; more must deadlock *)
+let UNMATCHED-LKW = LKW \ domain(critical)
+empty ([UNMATCHED-LKW] ; loc ; [UNMATCHED-LKW]) \ id as unmatched-locks
+
+(* rfi for LF events: link each LKW to the LF events in its critical section *)
+let rfi-lf = ([LKW] ; po-loc ; [LF]) \ ([LKW] ; po-loc ; [UL] ; po-loc)
+
+(* rfe for LF events *)
+let all-possible-rfe-lf =
+ (*
+ * Given an LF event r, compute the possible rfe edges for that event
+ * (all those starting from LKW events in other threads),
+ * and then convert that relation to a set of single-edge relations.
+ *)
+ let possible-rfe-lf r =
+ let pair-to-relation p = p ++ 0
+ in map pair-to-relation ((LKW * {r}) & loc & ext)
+ (* Do this for each LF event r that isn't in rfi-lf *)
+ in map possible-rfe-lf (LF \ range(rfi-lf))
+
+(* Generate all rf relations for LF events *)
+with rfe-lf from cross(all-possible-rfe-lf)
+let rf-lf = rfe-lf | rfi-lf
+
+(*
+ * RU, i.e., spin_is_locked() returning False, is slightly different.
+ * We rely on the memory model to rule out cases where spin_is_locked()
+ * within one of the lock's critical sections returns False.
+ *)
+
+(* rfi for RU events: an RU may read from the last po-previous UL *)
+let rfi-ru = ([UL] ; po-loc ; [RU]) \ ([UL] ; po-loc ; [LKW] ; po-loc)
+
+(* rfe for RU events: an RU may read from an external UL or the initial write *)
+let all-possible-rfe-ru =
+ let possible-rfe-ru r =
+ let pair-to-relation p = p ++ 0
+ in map pair-to-relation (((UL | IW) * {r}) & loc & ext)
+ in map possible-rfe-ru RU
+
+(* Generate all rf relations for RU events *)
+with rfe-ru from cross(all-possible-rfe-ru)
+let rf-ru = rfe-ru | rfi-ru
+
+(* Final rf relation *)
+let rf = rf | rf-lf | rf-ru
+
+(* Generate all co relations, including LKW events but not UL *)
+let co0 = co0 | ([IW] ; loc ; [LKW]) |
+ (([LKW] ; loc ; [UNMATCHED-LKW]) \ [UNMATCHED-LKW])
+include "cos-opt.cat"
+let W = W | UL
+let M = R | W
+
+(* Merge UL events into co *)
+let co = (co | critical | (critical^-1 ; co))+
+let coe = co & ext
+let coi = co & int
+
+(* Merge LKR events into rf *)
+let rf = rf | ([IW | UL] ; singlestep(co) ; lk-rmw^-1)
+let rfe = rf & ext
+let rfi = rf & int
+
+let fr = rf^-1 ; co
+let fre = fr & ext
+let fri = fr & int
+
+show co,rf,fr
diff --git a/tools/memory-model/scripts/checkalllitmus.sh b/tools/memory-model/scripts/checkalllitmus.sh
new file mode 100755
index 000000000..ca528f9a2
--- /dev/null
+++ b/tools/memory-model/scripts/checkalllitmus.sh
@@ -0,0 +1,73 @@
+#!/bin/sh
+#
+# Run herd tests on all .litmus files in the specified directory (which
+# defaults to litmus-tests) and check each file's result against a "Result:"
+# comment within that litmus test. If the verification result does not
+# match that specified in the litmus test, this script prints an error
+# message prefixed with "^^^". It also outputs verification results to
+# a file whose name is that of the specified litmus test, but with ".out"
+# appended.
+#
+# Usage:
+# checkalllitmus.sh [ directory ]
+#
+# The LINUX_HERD_OPTIONS environment variable may be used to specify
+# arguments to herd, whose default is defined by the checklitmus.sh script.
+# Thus, one would normally run this in the directory containing the memory
+# model, specifying the pathname of the litmus test to check.
+#
+# This script makes no attempt to run the litmus tests concurrently.
+#
+# This program is free software; you can redistribute it and/or modify
+# it under the terms of the GNU General Public License as published by
+# the Free Software Foundation; either version 2 of the License, or
+# (at your option) any later version.
+#
+# This program is distributed in the hope that it will be useful,
+# but WITHOUT ANY WARRANTY; without even the implied warranty of
+# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+# GNU General Public License for more details.
+#
+# You should have received a copy of the GNU General Public License
+# along with this program; if not, you can access it online at
+# http://www.gnu.org/licenses/gpl-2.0.html.
+#
+# Copyright IBM Corporation, 2018
+#
+# Author: Paul E. McKenney <paulmck@linux.vnet.ibm.com>
+
+litmusdir=${1-litmus-tests}
+if test -d "$litmusdir" -a -r "$litmusdir" -a -x "$litmusdir"
+then
+ :
+else
+ echo ' --- ' error: $litmusdir is not an accessible directory
+ exit 255
+fi
+
+# Find the checklitmus script. If it is not where we expect it, then
+# assume that the caller has the PATH environment variable set
+# appropriately.
+if test -x scripts/checklitmus.sh
+then
+ clscript=scripts/checklitmus.sh
+else
+ clscript=checklitmus.sh
+fi
+
+# Run the script on all the litmus tests in the specified directory
+ret=0
+for i in litmus-tests/*.litmus
+do
+ if ! $clscript $i
+ then
+ ret=1
+ fi
+done
+if test "$ret" -ne 0
+then
+ echo " ^^^ VERIFICATION MISMATCHES"
+else
+ echo All litmus tests verified as was expected.
+fi
+exit $ret
diff --git a/tools/memory-model/scripts/checklitmus.sh b/tools/memory-model/scripts/checklitmus.sh
new file mode 100755
index 000000000..bf12a75c0
--- /dev/null
+++ b/tools/memory-model/scripts/checklitmus.sh
@@ -0,0 +1,86 @@
+#!/bin/sh
+#
+# Run a herd test and check the result against a "Result:" comment within
+# the litmus test. If the verification result does not match that specified
+# in the litmus test, this script prints an error message prefixed with
+# "^^^" and exits with a non-zero status. It also outputs verification
+# results to a file whose name is that of the specified litmus test, but
+# with ".out" appended.
+#
+# Usage:
+# checklitmus.sh file.litmus
+#
+# The LINUX_HERD_OPTIONS environment variable may be used to specify
+# arguments to herd, which default to "-conf linux-kernel.cfg". Thus,
+# one would normally run this in the directory containing the memory model,
+# specifying the pathname of the litmus test to check.
+#
+# This program is free software; you can redistribute it and/or modify
+# it under the terms of the GNU General Public License as published by
+# the Free Software Foundation; either version 2 of the License, or
+# (at your option) any later version.
+#
+# This program is distributed in the hope that it will be useful,
+# but WITHOUT ANY WARRANTY; without even the implied warranty of
+# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+# GNU General Public License for more details.
+#
+# You should have received a copy of the GNU General Public License
+# along with this program; if not, you can access it online at
+# http://www.gnu.org/licenses/gpl-2.0.html.
+#
+# Copyright IBM Corporation, 2018
+#
+# Author: Paul E. McKenney <paulmck@linux.vnet.ibm.com>
+
+litmus=$1
+herdoptions=${LINUX_HERD_OPTIONS--conf linux-kernel.cfg}
+
+if test -f "$litmus" -a -r "$litmus"
+then
+ :
+else
+ echo ' --- ' error: \"$litmus\" is not a readable file
+ exit 255
+fi
+if grep -q '^ \* Result: ' $litmus
+then
+ outcome=`grep -m 1 '^ \* Result: ' $litmus | awk '{ print $3 }'`
+else
+ outcome=specified
+fi
+
+echo Herd options: $herdoptions > $litmus.out
+/usr/bin/time herd7 -o ~/tmp $herdoptions $litmus >> $litmus.out 2>&1
+grep "Herd options:" $litmus.out
+grep '^Observation' $litmus.out
+if grep -q '^Observation' $litmus.out
+then
+ :
+else
+ cat $litmus.out
+ echo ' ^^^ Verification error'
+ echo ' ^^^ Verification error' >> $litmus.out 2>&1
+ exit 255
+fi
+if test "$outcome" = DEADLOCK
+then
+ echo grep 3 and 4
+ if grep '^Observation' $litmus.out | grep -q 'Never 0 0$'
+ then
+ ret=0
+ else
+ echo " ^^^ Unexpected non-$outcome verification"
+ echo " ^^^ Unexpected non-$outcome verification" >> $litmus.out 2>&1
+ ret=1
+ fi
+elif grep '^Observation' $litmus.out | grep -q $outcome || test "$outcome" = Maybe
+then
+ ret=0
+else
+ echo " ^^^ Unexpected non-$outcome verification"
+ echo " ^^^ Unexpected non-$outcome verification" >> $litmus.out 2>&1
+ ret=1
+fi
+tail -2 $litmus.out | head -1
+exit $ret