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CS510 Advanced OS Seminar
Class 10
A Methodology for Implementing
Highly Concurrent Data Objects
by Maurice Herlihy
Motivation

A concurrent object is a data structure shared by concurrent
processes
o
o
o

It is blocking if delays in one process can cause delays in others
(all processes might fail to complete)
Non-blocking means some process will complete in finite number of
steps
Wait-free means it is free from starvation, ie. All processes will
complete in a finite number of steps
General methodology for constructing non-blocking and waitfree concurrent objects
o
o
Automatic transformation from sequential implementation
Using universal primitives such as LL/SC or CAS
•
CAS algorithms are more complex and less efficient than LL/SC ones
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Overview

Methodology
o
o
o
Start with sequential objects and operations
Apply synchronization and memory management algorithms
to transform sequential objects and operations into
concurrent objects and operations
Simple enough to be applied by a compiler
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Small objects


Slightly different approach for small and large
objects
Small objects
o
o

can be copied efficiently
object occupies a fixed size contiguous region of memory
called a “block”
Restrictions
o
Sequential operations must be “total”
•
ie. well-defined for all states of the object
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Small object transformation

The basic idea
o
o
o
o
Load-linked pointer to current version
Copy version to new (local) block of memory
Apply the sequential operation to the copy
Store-conditional pointer to current version to point to new
version
•
o
retry (to load-linked) on failure
Reclaim memory of old version
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Problem!

What if you are slow and another process reclaims
and reuses the memory while you are making your
copy?
o
o
o
o
You may generate an inconsistent copy
During your modifications you may later dereference a
corrupted pointer
You may get a divide by zero error …
All before you reach the store-conditional that would let
you know to fail and retry
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Solution


Check the consistency of the copy before you use it
But how can you know?
o
Use two checks
•
•
•
Updaters increment check 0 before updating and increment
check 1 after updating
– The two checks have the same value unless an update is in
progress
Copiers read check 1 before copying and check 0 after copying
– If they are the same then the copy is consistent
– If not retry the copy
This is a classic application for memory barriers
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Concurrent priority queue
Load linked queue pointer
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Concurrent priority queue
Read first part of consistency check
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Concurrent priority queue
Copy object
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Concurrent priority queue
Read second part of consistency check
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Concurrent priority queue
If object is consistent
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Concurrent priority queue
Perform sequential operation on copy
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Concurrent priority queue
Commit changes by overwriting queue
pointer with pointer to new version.
Exit loop on success … retry on failure
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Concurrent priority queue
Take ownership of old queue’s memory to
replace the memory given away for new
version.
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Performance evaluation


How expensive is the copying overhead?
What kind of contention characteristics does this
approach have?
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Benchmark: million enqueue/dequeue pairs
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Performance results
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Contention and fairness
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Problem


How to reduce contention?
Introduce delay via exponential back-off
o
Like in spin-locks
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Concurrent priority queue with backoff
Set wait time
Busy wait
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Performance impact back-off
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More problems

Performance
o

Requires backoff to reduce contention
Fairness
o
Non-blocking algorithm is open to starvation
•
•
o
Especially of enqueue’s which are slower (longer) and
frequently have to retry
If a short fast thing runs concurrently with a long slow thing,
the short fast thing nearly always wins and the long slow thing
nearly always has to retry
– It may never complete!
How can we make the approach wait-free?
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Wait-free algorithm

Processes register their attempted invocations in an
n-element “announce” array
o
o
o

Processes register their results in an n-element
“responses” array
o
o

one element per process
fields are <operation-name> <arguments> <toggle>
toggle field is complemented on each invocation
one element per process
fields are <result> <value> <toggle>
Processes help each other complete invocations by
running the “apply” function before performing own
operation
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Apply function – basic idea

Before performing an operation
o
o

look to see if any other processes have operations in
progress
if so, try to perform those operations for them and place
the result somewhere they can pick it up
Guarantees that whoever finishes first will succeed
in performing every process’ operations
o
o
no processes operations can be starved
sounds like lots of wasted work and lots of contention!
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Apply function
For all processes
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Apply function
Are any other operations
active concurrently?
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Apply function
If so, complete the
operation on behalf of
the other process (in
case its slower than you
and would be forced to
retry by the operation
you are about to do)
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Apply function
Mark operation as having
completed
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Wait-free concurrent pqueue
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Wait-free concurrent pqueue
Announce your attempted operation
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Wait-free concurrent pqueue
Distinguish it from the last one, which
has a result already registered
(… is one bit enough??)
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Wait-free concurrent pqueue
Check (twice!) that someone else has
not completed the operation for you??
(… hmm, why does it help to read this
twice?)
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Wait-free concurrent pqueue
Apply pending operations ??
… is there code missing here???
Should include apply(announce, new_pqueue);
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Issues with the wait-free approach


Aside from the bugs in this tech report version of
the paper ….
Avoids starvation by having all processes attempt to
complete any concurrent activity of all other
processes
o
o
One will succeed and commit all results
All others will fail to commit their version, but should
notice that their operation was completed by someone else
•
•
How do they pick up the result?
How is concurrency managed for the announce and result data
structures?
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Large objects

Copying the entire object is too costly

Programmers must construct logical versions
o
o
o
Memory is shared among versions
New memory is allocated for unique parts of new versions
Memory of old versions must be freed
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Memory management for large objects

Per-process pool of memory
o

3 states: committed, allocated and freed
Operations:
o
o
o
o
o
set_alloc moves block from committed (freed?) to allocated
and returns address
set_free moves block to freed
set_prepare marks blocks in allocated as consistent
set_commit sets committed to union of freed and
committed
set_abort sets freed and allocated to the empty set
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Memory management for large objects


May require a global memory pool
Problem:
o
How to prevent this from becoming a synchronization
bottleneck?
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ACM version – corrected simply algorithm
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ACM version – corrected delay algorithm
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ACM version – corrected apply function
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ACM version – corrected wait-free
algorithm
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