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===Introduction===
=Memory Consistency=
''[http://en.wikipedia.org/wiki/Consistency_model Memory consistency]'' deals with the ordering of all memory operations/accesses (loads and stores) to different memory locations. It can be summarized as the rule which must be enforced among all loads and stores to different locations in a shared memory by different processors. It can also be present in systems without caches.


[[Image:sharedmem.jpg|thumbnail|right|550px|Shared Memory system with dedicated Cache for each processor<sup><span id="3body"></span></sup>]]
==Memory Consistency Model==
 
In order to maintain memory consistency <ref>http://ieeexplore.ieee.org/xpl/login.jsp?tp=&arnumber=546611&url=http%3A%2F%2Fieeexplore.ieee.org%2Fstamp%2Fstamp.jsp%3Ftp%3D%26arnumber%3D546611</ref><ref>http://www1.ece.neu.edu/~jmankin/docs/jmankin_mem_const.pdf</ref>  in a multiprocessor system, when a program is executed on it, a model is required to specify the behavior of how the memory has to be accessed or to provide an agreement between the memory implementation and the program which is going to utilize this memory. This model is called [http://en.wikipedia.org/wiki/Consistency_model Memory Consistency Mode] and it is used to define the ordering in which all loads and stores must be performed, both relative to each other in the same program and to other loads and stores by another program on another processor. The programmer before writing the code must have knowledge of the ''Memory Consistency Model'' used by the hardware in order to ensure program correctness. The code below from Solihin<ref>Yan Solihin. "Fundamentals of Parallel Computer Architecture: Multi-chip and Multicore Systems." Solihin Publishing & Consulting LLC, 2009.</ref> shows an example of possible inconsistency:
 
<pre>
 
                      P0                                          P1
                S1 : datum = 5                            S3 : while(!datumIsReady) {}
                S2 : datumIsReady = 1                    S4 : print datum
 
 
</pre>
 
In this example, P0 sets the values of ''datum'' and ''datumIsReady'' to ''5'' and ''1'' respectively. By setting ''datumIsReady'' to 1, P0 signals P1 that ''datum'' is now ready. P1 spins in the while loop waiting for this flag to become 1 and then prints ''datum''. In this example and in similar cases, it is important that the compiler understands what the programmer has intended so that the program order is preserved. Within a uni-processor, declaring which variables must be synchronized can solve this problem. For instance when using C, this can be accomplished by declaring variables that may be susceptible to inconsistency as ''volatile''.
 
When a programmer writes a code, then he implicitly expects that the order of all memory accesses (loads and stores) coming out of a processor will be performed in the program order and each memory access will be performed atomically. The code below from Solihin shows another example of possible inconsistency:
 
<pre>
 
                      P0                                        P1                                      P3
                S1 : x = 5                            S3 : while(!xReady) {}                        S6: while(!xyReady)
                S2 : xReady = 1                      S4 : y = x + 4                                S7: z = x * y
                                                      S5 : xyReady = 1
 
 
</pre>


A cache is considered '''coherent''' if its read operations always return the most recently written values at the same address.  In a system with a single processor (single core), maintaining cache coherence is simple and easy, but in a [http://en.wikipedia.org/wiki/Multiprocessor multiprocessor] system, it is not as simple. Data can be present in any processor's cache, and [http://en.wikipedia.org/wiki/Protocol_(object-oriented_programming) protocol] needs to ensure that the data is same in every cache. If it cannot ensure that all the caches are the same, then it needs to flag a cache line to indicate that it is not updated.


In the figure shown here, there is a 4 processor shared memory system where each processor has its own cache. Suppose processor P1 reads memory location M1 and stores it in its local cache. Then, processor P2 also reads from M1 and stores its own local cache. Now, if P1 changes value of M1, there will be two copies of same data residing in different caches, but the one in P1's cache will be different. The problem arises when P2 operates on M1, and uses the stale value of M1 that was stored in its cache.
In this example, initially, the values of ''x'', ''y'', ''z'', ''xReady'' and ''xyReady'' are zero. Consider that the code when executed follows program program order that is S1 -> S2 -> S3 -> S4 -> S5 -> S6 -> S7.


===Cache Coherence===
So as per the code, firstly P0 executes its statements S1 and S2 in order and sets their values as 5 and 1 respectively. P1 receives the signal 1 from P0 and comes out of the loop in S3. P1 then reads the value of ''x'' and sets the value of ''y'' and ''xyReady'' as 9 and 1 respectively. P3 then receives the signal ''xyReady'' as 1 so it reads the value of ''x'' and ''y'' and sets the value of ''z''. The programmer expects that the value of ''z'' should be 45 (5*9) due to the atomicity of the execution of instructions.


One may think that cache write policy can provide cache coherence, but it is not true. Cache write policy only controls how a change in value of a cache is propagated to a lower level cache or main memory. It is not responsible for propagating changes to other caches.
[[Image:MCM_eg_2.png|thumbnail|right|400px|Figure 1: Example 2 for Memory Consistency<sup><span id="3body"></span></sup>]]


In order to understand what this means, we need to first understand what cache coherence is and compare it with the purpose of a cache write policy.  
Now, consider the scenario given in ''Figure 1''. P0 executes S1, which writes a value of 5 to ''x''. This write is then propagated to P1 and P2, however it reaches P1 faster than P2. Then, P0 performs a write to ''xReady'', which is also propagated to P1.  P1 now sees the new values of ''xReady'' and ''x''. So P1 executes its S4 statement, assigning a value of 9 to ''y'', and then sets ''xyReady'' to 1 which is propagated to P2. P2 then comes out of its loop and reads the value of ''x'' and ''y''. Since the value of ''x'' from P0 has yet not reached P2, P2 reads a fresh value of ''y'' but the stale value of ''x''. Thus the output of the program is unexpected which in this case is ''z'' = 0.


[http://en.wikipedia.org/wiki/Cache_coherency '''Cache coherence'''] refers to the consistency of data stored in local caches of a shared resource.
From the first and second example it is clear that the implicit expectation of a programmer is:


[[Image:Cache_Coherency_Generic.png|400px|center|Cache Coherence]]
* Memory accesses performed by a single processor should be occurred in program order and
* Each of them should be performed atomically.


Such an expectation is defined as Sequential Consistency.


In a shared memory multiprocessor system, each processor may have a separate cache. Hence, in such conditions, it is possible to have multiple copies of the instruction in each cache; one copy in the main memory and one in each cache memory. Here, when one copy of an operand is changed, the other copies of the operand must be changed also. Thus, cache coherence is the discipline that ensures that changes in the values of shared operands are propagated throughout the system in a timely fashion. Examples of cache coherence protocols include MSI, MOESI, MESI etc.
== Memory Semantics in Uniprocessor Systems ==


Uniprocessor languages use simple sequential semantics for memory operations, which allow the programmer to assume that all memory operations will occur one at a time in the sequential order specified by the program. Thus, the programmer can expect a load to return the value of the most recent store to the location according to sequential program order. It is sufficient to only maintain uniprocessor data and control dependences.  The compiler and hardware can freely reorder operations to different locations if the uniprocessor data and control dependences are respected. This enables compiler optimizations such as register allocation, code motion, loop transformations and hardware optimizations such as pipelining, multiple issue, write buffer bypassing and forwarding, and lockup-free caches, all of which lead to overlapping and reordering of memory operations.<ref>Sarita V. Adve. Kourosh Gharachorloo. "Shared Memory. Consistency Models: A Tutorial."  Digital Western Research Laboratory 250 University Avenue Palo Alto. <http://www.hpl.hp.com/techreports/Compaq-DEC/WRL-95-7.pdf</ref><ref>http://wiki.expertiza.ncsu.edu/index.php/CSC/ECE_506_Spring_2013/7a_bs</ref>


== Memory Semantics in Multiprocessor Systems ==


A [http://en.wikipedia.org/wiki/Cache_(computing) '''Cache write policy'''] on the other hand refers to the write policy by which the cache handles writes to the lower level caches or the main memory. The timing of this write is controlled by what is known as the write policy.  
Unfortunately, memory consistency is not as straightforward on multiprocessors. With regard to the examples above, instead of each process running on a separate thread, each process runs on a separate processor. With multiple processors, more problems arise with respect to order of execution. While one process might execute instructions in program order, other processes may not recognize the executions in the same order due to delays in communication. How processors handle this problem depends on the chosen ''consistency model'' <ref>http://www-vs.informatik.uni-ulm.de/teach/ss05/dsm/arizona.pdf</ref><ref>http://www.cs.columbia.edu/~Roxana/teaching/DistributedSystemsF12/lectures/lec12.pdf</ref>.


There are two basic writing policies<ref>http://en.wikipedia.org/wiki/Cache_(computing)</ref>:
==Types of Memory Consistency Models==


• '''Write-through''' – here, the write is done synchronously, both to the cache and to the backing store.i.e Every time the processor updates a cached memory location, both the cache and the underlying memory location is updated.  
Following Tree (''Figure 2'') shows different Memory Consistency models according to their weakening order. A model is said to be weaker compared to another model if it has less restrictions.


• '''Write-back (or Write-behind or copy back)''' – here, writing is initially done only to the cache. The write to the backing store is postponed until the cache blocks containing the data are about to be modified/replaced by new content<ref>http://www.pcguide.com/ref/mbsys/cache/funcWrite-c.html</ref>.
[[Image:MCM_tree_new2.png|thumbnail|center|1000px|Figure 2: Types of Memory Consistency Models<sup><span id="3body"></span></sup>]]
       
[[Image:Write_back_with_write_allocation.png|550px|Writeback with write allocation<sup><span id="3body"></span></sup>]]
[[Image:Writethrough.png|550px|Write Through Policy<sup><span id="3body"></span></sup>]]


Hence, we see that it is not the responsibility of the cache write policy to propagate changes to others caches, but only to the lower level memory. It is the responsibility of the Coherance protocols followed to implement this.
The tree represents most of the memory consistency models. There are some other memory consistency models as well, which are listed as follows.


Cache coherence<ref>http://en.wikipedia.org/wiki/Cache_coherency</ref> solutions are mainly classified as '''software-based''' or '''hardware-based''' solutions.  Software-based solutions can be implemented using [http://en.wikipedia.org/wiki/Compiler compiler]-based or run-time system support.  In addition, some of them can also be done with hardware assistance.  Hardware-based solutions can also be implemented in many different ways.  For example, one approach could be done by having each cache controller listen for traffic on the bus that would invalidate its cache line.  Alternatively, the solution could use directories which track which cache blocks most recently accessed a particular cache block.  Another variation of implementation is write-through versus write-back; the former writes to main memory whenever a cache is written to, while the latter waits to update main memory until the cache block is evicted.
* Delta Consistency Model
* Eventual Consistency Model
* Fork Consistency Model
* One-Copy Serializability
* Vector-Field Consistency Model


The main concern in the case of software-based solutions is that perfect information is needed at all times when memory aliasing and explicit parallelism are required. So, the focus is more on improving hardware-based solutions, making them more common. Studies have shown that different snoop-based cache coherence schemes are more strongly sensitive toward write-policy than the specific coherence protocol. Write-back schemes are more efficient despite the increased hardware complexity involved in cache coherence support.
Following are the detailed explanations of different consistency models<ref>http://en.wikipedia.org/wiki/Consistency_model</ref>:


Hardware-based cache-coherence protocols, though more competitive in terms of performance with respect to basic architectures with no hardware support, incur significant power cost as coherence traffic grows. Thus, as power constraints become tighter and the degree of multiprocessing increases, viability of hardware-based solutions becomes doubtful.
===Strict Consistency Model===


===Protocols===
''[http://en.wikipedia.org/wiki/Linearizability Strict Consistency Model]'' is the strictest of all consistency models. It is stated as any load to a memory location returns the latest value stored to this memory location. This model implicitly assumes all store operations are propagated almost instantaneously to the other processors in the system. If a value stored at a memory location is changed then all the loads to that location will give the latest value of the store.


Whenever a processor changes a word in its cache, all other caches holding the value must be notified. In order to keep their own values consistent with the freshly written cache, the cache's could be either '''updated''' or '''[http://en.wikipedia.org/wiki/Cache_invalidation invalidated]'''. In the update method, if variable 'x' is modified by core 1, core 1 has to send the updated value of 'x' onto the inter-core bus. Each cache listens to the inter-core bus and if a cache sees a variable on the bus which it has a copy of, it will read the updated value. This ensures that all caches have the most up-to-date value of the variable.
===Sequential Consistency Model===


In case of invalidation, an invalidation message is sent onto the inter-core bus when a variable is changed. The other caches will read this invalidation signal; if its core attempts to access that variable, it will result in a cache miss and the variable will be read from main memory.
[[Image:SC_lamport.JPG|thumbnail|right|400px|Figure 3: Programmer's view of Sequential Consistency<sup><span id="3body"></span></sup>]]


The update method results in significant amount of traffic on the inter-core bus as the update signal is sent onto the bus every time the variable is updated. The invalidation method only requires that an invalidation signal be sent the first time a variable is altered; this is why the invalidation method is the preferred method.
The most commonly assumed memory consistency model for shared memory multiprocessors is ''[http://en.wikipedia.org/wiki/Sequential_consistency Sequential Consistency Model]'' <ref>http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1675439&tag</ref>. This model is similar to Atomic Consistency but it contains the possibility of optimizations to improve the performance. Sequential Consistency was formally defined by ''Lamport'' <ref>http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=1675439</ref> as follows:


''“A multiprocessor system is sequentially consistent if the result of any execution is the same as if the operations of all the processors were executed in some sequential order, and the operations of each individual processor appear in this sequence in the order specified by its program.”''


====Invalidate Coherence Protocols====
There are two main aspects to sequential consistency:


* '''MSI'''
* Maintenance of the program order among memory operations from individual processors
* Maintenance of a single sequential order among memory operations from all processors


MSI stands for Modified, Shared, and Invalid, which is based on the three states that a line of cache can be in. The Modified state means that a variable in the cache has been modified and therefore has a different value than that found in main memory; the cache is responsible for writing the variable back to main memory. The Shared state means that the variable exists in at least one cache and is not modified; the cache can evict the variable without writing it back to the main memory. The Invalid state means that the value of the variable has been modified by another cache and is invalid; the cache must read a new value from main memory (or another cache).
The second aspect makes it appear as if one memory operation executes atomically or instantaneously with respect to other memory operations. This model is weaker than Strict Consistency model as this model does not require all changes to be propagated instantaneously to all the other processors in the system.


[[File:MSI.jpg|thumb|center|MSI State Diagram|500px]]
''Figure 4'' represents how the different loads and stores are performed when Sequential Consistency Model is used in the hardware. P1 stores a value “a” then P2 stores a value “b”. P3 reads the value stored by P1 then P4 reads the value stored by P2 and so on. At each time, a single memory access operation is performed. Both P3 and P4 read the values stored by P1 and P2 in the proper order as they are propagated.


*'''MESI'''
====Basic Implementation of Sequential Consistency====


MESI stands for Modified, Exclusive, Shared, and Invalid. The Modified and Invalid states are the same for this protocol as they are for the MSI protocol. This protocol introduces a new state; the Exclusive state. The Exclusive state means that the variable is only in this cache and its value matches the value within the main memory. This now means that the Shared state indicates that the variable is contained in more than one cache.
The basic implementation of SC involves execution of one memory access at a time without overlapping it with another memory access. Thus it is required to understand the starting and ending point of a particular memory access. Memory accesses are performed when either there is a load or a store operation: Consider a load operation. A load operation is completed in below four steps:


[[File:MESI.jpg|thumb|center|MESI State Diagram|500px]]
[[Image:MCM_SC_eg.png|thumbnail|right|400px|Figure 4: Representation of Global Sequential Order of any Load or Store<sup><span id="3body"></span></sup>]]


* '''MOSI'''
* '''Step 1:''' Computation of effective address in a functional unit.
* '''Step 2:''' Cache access to the effective address issued by memory hierarchy.
* '''Step 3:''' Fetching the data value associated with the address.
* '''Step 4:''' Returning the value to the destination register of the load instruction.


The MOSI protocol is identical to the MSI protocol except that it adds an Owned state. The Owned state means that the processor "Owns" the variable and will provide the current value to other caches when requested (or at least it will decide if it will provide it when asked). This is useful because another cache will not have to read the value from main memory and will receive it from the Owning cache much, much, faster.
Here, it is clear that Step 1 and Step 4 are not affected by other memory accesses. Effective address (Step 1) is computed in the functional unit which involves computation not access. Similarly the final value to be loaded in the destination register (Step 4) has already been fetched from the cache so it does not involve any further memory access. Thus, it can be concluded that the actual load (which involves memory access) starts from Step 2 and ends on Step 3. These two steps should be performed atomically.


* '''MOESI'''<ref>http://en.wikipedia.org/wiki/MOESI_protocol</ref>
Consider a store operation. A store operation is completed in below four steps:


MOESI is a full cache [http://en.wikipedia.org/wiki/Cache_coherence coherency] protocol that encompasses all of the possible states commonly used in other protocols. In addition to the four common [http://en.wikipedia.org/wiki/MESI_protocol MESI] protocol states, there is a fifth "Owned" state representing data that is both modified and shared. This avoids the need to write modified data back to main memory before sharing it. While the data must still be written back eventually, the write-back may be deferred.
* '''Step 1:''' Computation of effective address in a functional unit.
In order for this to be possible, direct cache-to-cache transfers of data must be possible, so a cache with the data in the modified state can supply that data to another reader without transferring it to memory.
* '''Step 2:''' The store is committed by copying the destination address and the latest value to be stored to a write buffer.
* '''Step 3:''' The store value in the write buffer is released to the cache.
* '''Step 4:''' The store is considered complete when this new value is fully propagated to the other processors.


[[File:MOESI.jpg|thumb|center|MOESI State Diagram|500px]]
As the store involves multiple cache values thus effectively the store starts when the destination address is issued and the latest value is stored in the write buffer in Step 2 till Step 4 where the store is fully propagated to other caches. So these steps should be performed atomically. It can be concluded that the basic implementation of SC inflicts a lot of restrictions on how the instructions within a program have to be executed and thus it affects the performance. So in order to improve the performance of SC, few optimizations in the model are possible.


* '''MESIF'''<ref>http://en.wikipedia.org/wiki/MESIF_protocol</ref>
====Techniques to improve Sequential Consistency performance====


The MESIF protocol is a cache coherency and memory coherence protocol developed by Intel for cache coherent [http://en.wikipedia.org/wiki/Non-Uniform_Memory_Access non-uniform memory] architectures.The protocol consists of five states, Modified (M), Exclusive (E), Shared (S), Invalid (I) and Forward (F).
Performance of a Sequential Consistency model can be improved if the execution of memory accesses is made faster and when it is allowed for the memory accesses to be overlapped with respect to one another as listed below,
The 'M', 'E', 'S' and 'I' states are the same as in the MESI protocol. The 'F' state is a specialized form of the 'S' state, and indicates that a cache should act as a designated responder for any requests for the given line. The protocol ensures that, if any cache holds a line in the S state, at most one (other) cache holds it in the F state.
In a system of caches employing the MESI protocol, a cache line request that is received by multiple caches holding a line in the S state will be serviced inefficiently. It may either be satisfied from (slow) main memory, or all the sharing caches could respond, bombarding the requestor with redundant responses. In a system of caches employing the MESIF protocol, a cache line request will be responded to only by the cache holding the line in the F state.This allows the requestor to receive a copy at cache-to-cache speeds, while allowing the use of as few [http://en.wikipedia.org/wiki/Multicast multicast] packets as the network topology will allow.


====Update Coherence Protocols====
* The first performance enhancement technique avoids the overlapping of execution of loads and stores but involves overlapping of the data fetches that are generated by these loads and stores. In this technique, load/store prefetching is performed on the data which is to be used in the coming load/store by changing the state of the cache block to '''S''' (load prefetching) or '''M''' (store prefetching). Thus when the actual load/store memory access is performed then it takes less time to complete.
* The second technique of performance enhancement depends on speculation access where the execution of a load can be overlapped with the execution of the older load by speculatively assuming that the older load is executed atomically. If the older load does not get executed atomically then this younger load is canceled and it is executed again. This speculative execution is typically only implemented for loads. All stores are issued to the cache atomically only.


Update based cache coherence protocols directly update all the cache values in the system.This is different from invalidation based protocols as it achieves write propagation without having to invalidate. Hence this reduces coherence misses and also bandwidth usage.The two update based protocols- Dragon Protocol and Firefly Protocol are discussed below.
===Relaxed Consistency Models===


*'''Dragon Protocol'''
These models basically loosen up the memory access restrictions of Sequential Consistency model. As these models do not put a lot of restriction on the sequence of the memory accesses thus their performance is better than Sequential Consistency model. But the implementations of these models require a lot of complexity in the program. During coding, the programmers have to make sure that their programs obey the rules of the consistency model that the hardware provides.
The [http://en.wikipedia.org/wiki/Dragon_protocol Dragon Protocol] is an update-based coherence protocol. It reduces [http://en.wikipedia.org/wiki/Bandwidth_(computing) bandwidth] as it updates the specific words instead of entire block within the cache.[http://en.wikipedia.org/wiki/Cache_(computing)#Writing_policies Write allocate] and write update policies are used by the caches. The Dragon Protocol consists of four states (Modified (M), Exclusive (E), Shared Clean (Sc), and Shared Modified (Sm)) and there is no invalidation state,because every block present in the cache is valid.  


[[File:Dragon.jpg|thumb|center|Dragon State Diagram|700px]]
Relaxation in the memory accesses may allow the order of execution of the instructions in a program different from the programmer’s expectation. Thus to prevent any non-deterministic outcome of the program, safety net is provided to the programmers to implement it in their programs to specify strict ordering between a pair of memory accesses. This safety net is provided in terms of fence instruction. Once a fence instruction is implemented in the program then it prohibits all the memory accesses following it until all the memory accesses before it have been completed. Fence instruction is of two types. When the fence is only applied to the stores such that there is a proper ordering of the memory accesses between all the stores before the fence and all following it then such type of fence is called '''store fence/barrier'''. On the other side, when the fence is only applied to the loads such that there should be perfect ordering between the loads before the fence appears and the loads after the fence then such a fence is called '''load fence/barrier'''.


*'''Firefly protocol'''
[[Image:MCM_CC_eg.png|thumbnail|right|400px|Figure 5: Representation of any Load or Store in Causal Consistency<sup><span id="3body"></span></sup>]]
This is another example of update-based coherence cache protocols.Unlike the Dragon Protocol, the caches use a [http://en.wikipedia.org/wiki/Cache_(computing)#Writing_policies write-through policy] and hence writes all changes to memory.This protocol uses a special bus technique called SharedLine to allow quick detection to copies of the block in other caches. It is similar to the COPIES_EXIST(C) and !COPIES_EXIST. In the firefly protocol , there is no invalidation state just like the dragon protocol as the cache blocks are never invalidated.


====Hybrid Protocols<ref>http://wiki.expertiza.ncsu.edu/index.php/User:Stchen#Introduction_to_Update_and_Adaptive_Coherence_Protocols_on_Real_Architectures</ref>====
When a fence is implemented in the program then all the memory accesses younger than fence are flushed out from the pipeline. Firstly all the memory accesses older than fence are completed and then the processor state is restored to the state prior to the fence instruction and execution is resumed from that point.
Even though there are clear advantages to using either update protocols or invalidate protocols, there are still disadvantages for each. In a write invalidate protocol, any update/write operation in a processor invalidates the shared cache blocks of other processors. This will force the other caches to do read requests such that the new data is retrieved. This tends to cause a high bus bandwidth and can be especially bad if there is few processors that frequently update the cache. Fortunately, write update protocols mitigate this issue. It will update all other caches at the same time it propagates an update itself. Unfortunately, this creates a different problem, there will sometime be unnecessary update to the cache on the other processors. This tends to increase conflict and capacity cache misses.


Hybrid protocols help to mitigate these problems by decreasing some high bus traffic as well as some unnecessary updates. But,this is possible based on how the adaptive algorithm switches between write-invalidate and write-update.
===Causal Consistency Model===


*'''Competitive update cache coherence protocol<ref>H. Nilsson, P. Stenström
''[http://en.wikipedia.org/wiki/Causal_consistency Causal Consistency Model]'' <ref>http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.50.3356</ref> is a weaker model of Sequential Consistency model. Here, a differentiation is made between events that are potentially causally connected with each other and those that are not. A system provides Causal Consistency if memory operations that potentially are causally related are seen by every processor of the system in the same order. Operations that are not causally related are said to be concurrent. Concurrent writes may be seen in different order by different processors but Condition-writes (i.e. ones that are potentially causally related) must be seen by all processors in the same order. Causal Consistency model is weaker than Sequential Consistency model in the sense that all the concurrent writes in this model can be seen in any order by all the other processors in the system while they are required to be seen in the same order by other processors in Sequential Consistency.
An adaptive update-based cache coherence protocol for reduction of miss rate and traffic
Proc. Parallel Architectures and Languages Europe (PARLE) Conf., Lecture Notes in Computer Science, Athens, Greece, 817, Springer-Verlag, Berlin (Jul. 1994)</ref>'''
This protocol is a hybrid between write-invalidate and write-update protocols and for a wide range of applications it outperforms write invalidate protocols under relaxed memory consistency models because of a lower miss rate. In this protocol,a copy of the block is updated instead of being invalidated at the first write by another processor. If the local processor does not access the copy,it is invalidated after a number of global updates determined by a competitive threshold. As a result, only those copies regularly accessed are updated. In competitive-update protocols coherence is maintained by update messages rather than invalidation messages. Upon a write request, update messages are sent to all caches sharing the same memory block. In contrast to write-update protocols, a competitive threshold, C, is used to locally invalidate copies that are not accessed by the local processor between a number of updates; i.e., when a copy has been updated C times it is invalidated and the update messages to it cease. Thus, the network traffic is reduced compared to a write-update protocol since only those copies regularly accessed are updated.


*'''Cachet'''<ref>http://csg.csail.mit.edu/pubs/memos/Memo-414/memo-414.pdf</ref>
When a store operation follows a load operation performed by a processor then the load and store are considered causally connected. Similarly, when a load operation follows a store operation then it is also considered causally connected. Also, the transitive closure of the previous two types of pairs of operations are also causally related.


Cachet provides wide scope for adapting to changing program behaviors.It is especially suitable for large [http://en.wikipedia.org/wiki/Distributed_shared_memory Distributed Shared Memory] (DSM) systems, and applicable to a wide variety of programmer-centric memory models.Cachet allows write operations to be performed without the exclusive ownership. This not only alleviates potential cache thrashing due to [http://en.wikipedia.org/wiki/False_sharing false sharing], but also reduces the average
''Figure 5'' shows an order of loads and stores in this model. Store operation w(x)1 by processor P1 is causally related to store operation w(x)2 by processor P2 but the store operations w(x)3 by processor P1 and w(x)2 by processor P2 are concurrent writes thus can be seen in any order by processor P3 and P4.
[http://en.wikipedia.org/wiki/Latency_(engineering) latency] of write operations.


==Memory Consistency==
===Processor Consistency Model===
''Memory consistency'' deals with the ordering of all memory operations/accesses (loads and stores) to different memory locations. It can be summarized as the rule which must be enforced among all loads and stores to different locations in a shared memory by different processors. It can also be present in systems without caches.


==Memory Consistency Model==
[[Image:MCM_ProcessorC_egnew.png|thumbnail|right|400px|Figure 6: Representation of Order of any Load or Store in Processor Consistency<sup><span id="3body"></span></sup>]]
In order to maintain memory consistency in a multiprocessor system when a program is executed on it, a model is required to specify the behavior of how the memory has to be accessed or to provide an agreement between the memory implementation and the program which is going to utilize this memory. This model is called Memory Consistency Model and It is used to define the ordering in which all loads and stores must be performed, both relative to each other in the same program and to other loads and stores by another program on another processor. The programmer before writing the code must have knowledge of the "Memory Consistency Model" used by the hardware in order to ensure program correctness. The code below from Solihin<ref>Yan Solihin. "Fundamentals of Parallel Computer Architecture: Multichip and Multicore Systems." Solihin Publishing & Consulting LLC, 2009.</ref> shows an example of possible inconsistency:
 
Processor Consistency model is a weaker model than Causal Consistency. In Sequential Consistency a proper ordering is forced on all the memory accesses, which are, Load -> Load, Load -> Store, Store -> Store, and Store -> Load. The basic implementation of a Processor Consistency Model is based on relaxing the ordering between an older store and a younger store (Store -> Load). In this model, when a store has not completed, a younger load is allowed to issue to the cache and even complete. The importance of this is that store instructions can be queued in the write buffer and be completed at a later time without the use of load speculation. In the mean time, loads do not require to wait for the older stores to complete and can access the cache and hence they reduce the load latency. In case of Processor Consistency, when a load is issued to the cache then it is not rolled back even if the illusion of atomicity is broken in contrast to SC where the load is rolled back at once. This result is better performance of Processor Consistency as compared to Sequential Consistency. Processor Consistency only relaxes one ordering rule out of four, hence it only affects the correctness of code that has a store followed by a load. If a program is a properly synchronized program, PC provides the same outcome as Sequential Consistency. In a post and wait synchronization in which a processor produces a data value and sets a flag to signal the availability of the new value. This involves at least two store instructions, which are ordered with respect to each other in Processor Consistency. Once the consumer sees the flag high, it performs at least two loads and this ordering is also guaranteed under Processor Consistency. Thus, post and wait sync produces the same outcome in Processor Consistency as in Sequential Consistency.
 
Processor Consistency model is weaker than Causal Consistency model in the sense that it requires all the stores performed by a single processor to be seen in the same order by different processors in the system as they are issued but stores performed by the different processors can be seen in any order by other processors in the system while in Causal Consistency all causally related stores are required to be seen in the same order by all the processors. Some definitions of Processor Consistency model involve the concept of cache coherence thus if there are two different stores performed by two different processors on the same memory location then the model requires that these stores are to be seen in the same order by the different processors in the system as they are issued.
''Figure 6'' represents the same concept. Two stores w(x)1 and w(x)2 are performed by two different processors P1 and P2 but as they are performed on the same memory location thus the same order is required to be seen by processor P3 and P4.
 
===PRAM Consistency Model===
 
[[Image:MCM_PRAMC_eg.png|thumbnail|right|400px|Figure 7: Representation of Order of any Load or Store in PRAM Consistency <sup><span id="3body"></span></sup>]]
 
''[http://en.wikipedia.org/wiki/PRAM_consistency PRAM Consistency Model]'' <ref>http://cs.gmu.edu/cne/modules/dsm/orange/pram_con.html</ref> <ref>http://www.e-reading.link/chapter.php/143358/220/Tanenbaum_-_Distributed_operating_systems.html</ref>is pipelined random access memory consistency. It is also known as FIFO consistency. This consistency model is even more relaxed than Processor Consistency model. In this model, all processors see the stores performed by one processor in the same order as they were issued from that processor. But stores performed by different processors may be seen in a different order by different processors. In this consistency model, only the store order needs to be consistent not the load and that is why it is named as pipelined. PRAM Consistency is easy to implement. The model simply says that there are no guarantees about the order in which different processors see the stores, except that two or more stores performed by the single processor must arrive in order, as if they were in a pipeline.
This model is weaker than Processor Consistency in the sense that it allows to see the stores by different processors in any order even if the store is performed on same memory location. In case of Processor Consistency, cache coherence also works thus store operations performed by different processors on the same location are required to be seen in the same ordered they are issued.
 
''Figure 7'' shows that w(x)1 performed by processor P1 and w(x)2 performed by processor P2 are seen in different order by processor P3 and P4 which is not allowed in Processor Consistency as both the stores are performed on same memory location ''x''.
 
===Weak Ordering Model===


<pre>
When a programmer writes a program then he makes sure that the ordering issue is addressed in the program using synchronization primitives. So it can be said that a majority of the programs are properly synchronized. These synchronization primitives can be of the form of barriers, point-to-point synchronization, lock etc. Also, it can be concluded that if a program is properly synchronized, there is no data race that can occur. '''Data race''' is defined as the simultaneous access of a single location by multiple threads in which at least one of the access is a store. Simultaneous loads do not change the outcome of the loads hence they cannot produce data race. However, simultaneous stores may overwrite each other hence they can induce data race. A simultaneous load and store also may cause the load to return different values. The implication of the lack of data race in a properly synchronized program is that the ordering of memory accesses can be relaxed except at synchronization points. This concept is implemented in [http://en.wikipedia.org/wiki/Weak_consistency Weak Ordering Consistency Model].  The Weak Ordering model uses two assumptions,


                      P0                                          P1
[[Image:MCM_WO.png|thumbnail|right|400px|Figure 8: Representation of Order of any Load or Store in Weak Ordering<sup><span id="3body"></span></sup>]]
                S1 : datum = 5                            S3 : while(!datumIsReady) {}
                S2 : datumIsReady = 1                    S4 : print datum


*  Programs are properly synchronized.
*  Programmers correctly express to the hardware, which loads and stores act as synchronization accesses.


</pre>
Based on the assumptions, the correct behavior of a synchronization access can be defined as:


In this example, P0 generates sets the values of ''datum'' and ''datumIsReady.'' By setting ''datumIsReady'' to 1, this signals P1 that ''datum'' is now ready. P1 spins in the while loop waiting for this flag to become 1 and then prints ''datum''. In this example an in similar cases, it is important that the compiler understand what the programmer intended so that the program order is preserved. Within a uni-processor, this problem can be solved by declaring which variables must be synchronized. For instance when using C, this can be accomplished by declaring variables that may be susceptible to inconsistency as ''volatile''.
*  Before a synchronization access can issue, all prior loads, stores and synchronization accesses must have completed
*  All loads, stores and synchronization accesses following it must not have issued.


When a programmer writes a code, then he implicitly expects that the order of all memory accesses (loads and stores ) coming out of a pocessor will be performed in the program order and each memory access will be performed atomically. The code below from Solihin<ref>Yan Solihin. "Fundamentals of Parallel Computer Architecture: Multichip and Multicore Systems." Solihin Publishing & Consulting LLC, 2009.</ref> shows another example of possible inconsistency:
In the ''Figure 8'', S represents the synchronization access point. As the Weak Ordering model says that the ordering of the memory accesses can be relaxed between the synchronization access points thus the store w(x)1 and w(x)2 performed by processor P1 can be seen in a different order by processor P2 and P3 as long as the synchronization point has not reached. If the load r(x)1 and r(x)2 are performed after the synchronization point then all the loads performed by different processors must see the latest stores.


=====Basic Implementation of Weak Ordering Model =====


=== Memory Semantics in Uniprocessor Systems ===
When a synchronization access is encountered at the processor pipeline, first of all, all the memory accesses following this synchronization point are flushed out of the processor pipeline. Then this synchronization access itself is made to halt until all the memory accesses before this synchronization point are completed. All the loads have obtained their value and all the stores have propagated their values.
Weak Ordering is more relaxed than Processor Consistency because a Weak Ordering compiler can reorder the memory accesses and it just have to make sure that they do not cross the synchronization points. In Processor Consistency only Store -> Load access is relaxed. This model works well if the critical section is big containing more memory accesses to be executed. If the critical section is small then there are very less opportunities to reorder the memory accesses, as there are less number of them. So when critical section is small then Processor Consistency model does better than Weak Ordering model. Weak Ordering model is more relaxed but its program complexity is higher than Processor Consistency.


Uniprocessor languages use simple sequential semantics for memory operations, which allow the programmer to assume that all memory operations will occur one at a time in the sequential order specified by the program. Thus, the programmer can expect a read to return the value of the most recent write to the location according to sequential program order. It is sufficient to only maintain uniprocessor data and control dependences.  The compiler and hardware can freely reorder operations to different locations if the uniprocessor data and control dependences are respected. This enables compiler optimizations such as register allocation, code motion, and loop transformations, and hardware optimizations, such as pipelining, multiple issue, write buffer bypassing and forwarding, and lockup-free caches, all of which lead to overlapping and reordering of memory operations.<ref>Sarita V. Adve. Kourosh Gharachorloo. "Shared Memory. Consistency Models: A Tutorial."  Digital Western Research Laboratory 250 University Avenue Palo Alto. <http://www.hpl.hp.com/techreports/Compaq-DEC/WRL-95-7.pdf</ref>
===Release Consistency Model===


=== Memory Semantics in Multiprocessor Systems ===
[[Image:MCM_RC.png|thumbnail|right|400px|Figure 9: Illustration of Allowed Execution Order In Release Consistency<sup><span id="3body"></span></sup>]]
Unfortunately, memory consistency is not as straight-forward on multiprocessors. With regard to the example above, instead of each process running on a separate thread, each process runs on a separate processor. With multiple processors, more problems arise with respect to order of execution. While one process might execute instructions in program order, other processes may not recognize the executions in the same order due to delays in communication. How processors handle this problem depends on the chosen ''consistency model''<ref>http://www-vs.informatik.uni-ulm.de/teach/ss05/dsm/arizona.pdf</ref>.
[[Image:MCM_RCnew.png|thumbnail|right|400px|Figure 10: Representation of Order of any Load or Store in Release Consistency<sup><span id="3body"></span></sup>]]
The ''[http://en.wikipedia.org/wiki/Release_consistency Release Consistency model]'' <ref>http://dl.acm.org/citation.cfm?id=139676 </ref> implementation is based on two different types of synchronization accesses:


Some examples of consistency models are<ref>http://en.wikipedia.org/wiki/Consistency_model</ref>:
'''Acquire synchronization (lock):''' which ensures that no younger load/store executes before the ''acquire'' is complete. Thus it prevents upward migration of memory accesses but not downward migration.


* [http://en.wikipedia.org/wiki/Linearizability '''Atomic Consistency''']: This is the strictest of all consistency models. With atomic consistency, operations take effect at some point in an operation interval. Atomicity is a guarantee of isolation from concurrent processes. Additionally, atomic operations commonly have a succeed-or-fail definition. i.e they either successfully change the state of the system, or have no apparent effect.
'''Release synchronization (unlock):''' which ensures that all older loads/stores complete before the ''release'' is issued. This it prevents downward migration of memory accesses but no upward migration.


* [http://en.wikipedia.org/wiki/Causal_consistency '''Causal consistency''']: The causal consistency model represents a weakening of sequential consistency in that it makes a distinction between events that are potentially causally related and those that are not. Writes that are potentially causally related must be seen by all processes in the same order. Concurrent writes (i.e. ones that are not causally related) may be seen in a different order on different machines. Hence, this is weaker than sequential consistency, which requires that all nodes see all writes in the same order, but is stronger than [http://en.wikipedia.org/wiki/PRAM_consistency PRAM consistency], which requires only writes done by a single node to be seen in the same order from every other node.
It is also made sure that acquires and releases must execute atomically with respect to one another. This implies that they must not appear to have overlapped their execution with respect of one another. This model requires all synchronization accesses in a program to be identified correctly and completely, so that the hardware can ensure correct execution of properly synchronized program.


* [http://en.wikipedia.org/wiki/Delta_consistency '''Delta consistency''']: is a core functionality that gives content providers “freshness guarantee” by ensuring that updates will propagate through the system and all replicas will be consistent after a fixed time period.  
In ''Figure 9'', the synchronization access lock (A) operation prevents upward migration but allows downward migration. The synchronization access unlock (A) operation prevents downward operation but allows upward migration. Due to this, the operation lock (B) can be moved upward. But as in WO, all synchronization accesses are never overlapped, thus lock (A), lock (B), unlock (A) and unlock (B) are not overlapped. Thus, in brief it can be said that WO allows overlapping of critical sections.  


* [http://en.wikipedia.org/wiki/Entry_consistency '''Entry consistency''']: This requires the programmer to use acquire and release at the start and end of each critical section, respectively. Entry consistency requires each ordinary shared variable to be associated with some synchronization variable such as a lock or barrier. If it is desired that elements of an array be accessed independently in parallel, then different array elements must be associated with different locks.
=====Basic Implementation of Release Consistency Model =====


* [http://en.wikipedia.org/wiki/Eventual_consistency '''Eventual consistency''']:This  model states that given a sufficiently long period of time over which no changes are sent, all updates can be expected to propagate eventually through the system and the replicas will be consistent.  
The release synchronization must prevent downward migration, so when a release synchronization access is encountered in the processor pipeline, the release access is halted until all prior memory accesses have completed. An acquire synchronization must prevent upward migration. When an acquire synchronization access is encountered in the processor pipeline, all instructions younger than it (including all loads and stores) are canceled and re-executed after the acquire synchronization completes. Similar to Weak Ordering, Release Consistency allows the compiler to freely recorder loads and stores except that they cannot migrate upward past as acquire synchronization and cannot migrate downward past a release synchronization. Thus overlapping of critical section is allowed in Weak Ordering which is not allowed in Release Consistency hence this model is weaker than Release Consistency although Weak Ordering has higher programming complexity than Release Consistency.


* [http://en.wikipedia.org/wiki/Fork_consistency '''Fork consistency''']: In this model, if an untrusted server hides the modifications of one writer to another, the latter will not be shown any future modifications of the former, effectively forking the views of them. This is the strongest consistency model that can be achieved with an untrusted server.  
''Figure 10'' shows that when processor P1 enters critical section by acquiring lock (A(L)), it performs two stores and then it exits the critical section by releasing the lock (Q(L)). Since processor P2 also uses the same critical section thus it reads the latest value of store by processor P1. As processor P3 does not use the critical section thus it does not matter which value it reads.


* [http://en.wikipedia.org/wiki/One-copy_serializability '''One-copy serializability''']: This model is the same as sequential consistency, as though there is only one copy of the file, thus, access requests are fully serialized.
===Lazy Release Consistency Model===


* [http://en.wikipedia.org/wiki/PRAM_consistency '''PRAM consistency''']: PRAM consistency or FIFO consistency, is subject to the condition that writes done by a single process are received by all other processes in the order in which they were issued, but writes from different processes may be seen in a different order by different processes.
[[Image:MCM_LRC.png|thumbnail|right|400px|Figure 11:  Write propagation in Release Consistency and in Lazy Release Consistence <sup><span id="3body"></span></sup>]]


* [http://en.wikipedia.org/wiki/Release_consistency '''Release consistency''']: Release consistency provides these two kinds of synchronization variables. '''Acquire''' accesses are used to tell the memory system that a critical region is about to be entered. '''Release''' accesses say that a critical region has just been exited. These accesses can be implemented either as ordinary operations on special variables or as special operations.
The Lazy Release Consistency model is a further optimization of the Release Consistency model (RC) in which it is considered that the thread that executes an acquire synchronization does not need values written by another thread until the acquire synchronization is completed. When a store is executed in a critical section, then before the ''unlock'' is executed, it is made sure that the memory access is propagated fully to the other caches. Then the unlock operation is executed, which involves another store where the value of ''lockvar'' is changed to 0. This value is again propagated fully to other caches and then after that the lock operation is executed. It can be concluded that the value of the store in the first critical section is not required until the lock operation for the second critical section is executed. So it can be said that the propagation of the values written prior to the release synchronization can be delayed until the release synchronization is complete and then both the values written in the critical section and on release synchronization can be propagated together to the other caches. This model is beneficial in the cases where there is a little bandwidth available between the processors or in a system where there are high overheads due to the propagation of small amount of data or infrequent propagation of large amount of data.


* [http://en.wikipedia.org/wiki/Sequential_consistency '''Sequential consistency''']: Sequential consistency is a slightly weaker model than strict consistency. It was defined by Lamport as the result of any execution is the same as if the reads and writes occurred in some order, and the operations of each individual processor appear in this sequence in the order specified by its program.
As shown in the ''Figure 11'', for Lazy Release Consistency, the writes from statements S1 and S2 are combined together and then propagated once S2 is complete.


* [http://en.wikipedia.org/wiki/Vector-field_consistency '''Vector-field consistency''']:This is a consistency model for replicated data. It is designed to allow bounded divergence of object replicas. In this model replica consistency is selectively and dynamically strengthened or weakened based on the on-going game state and simultaneously it manages: how the consistency degree is changed throughout the execution; and how the consistency requirements are specified.
===Entry Consistency Model===


* [http://en.wikipedia.org/wiki/Weak_consistency '''Weak consistency''']: A memory system is weakly consistent if it enforces that accesses to synchronization variables are sequentially consistent, that no access to a synchronization variable is issued in a processor before all previous data accesses have been performed and that no access is issued by a processor before a previous access to a synchronization variable has been performed.
''[http://en.wikipedia.org/wiki/Entry_consistency Entry Consistency Model]'' <ref>http://cs.gmu.edu/cne/modules/dsm/orange/entry_con.html</ref> is similar to Release Consistency Model as this model also requires the programmer to use acquire and release synchronization accesses at the start and end of each critical section but this model also requires each ordinary shared variable to be associated with some synchronization variable such as a lock or barrier. When an acquire synchronization is done on a variable then only those ordinary shared variables which are guarded by acquire are made consistent. Entry Consistency model is distinguished from Lazy Release Consistency such that Lazy Release Consistency does not associate ordinary shared variables with lock or barrier synchronization accesses.


== Memory Coherence and Shared Virtual Memory ==
===Cache Consistency Model===


The memory coherence problem in a shared [http://en.wikipedia.org/wiki/Virtual_memory virtual memory] system and in [http://www.cacheopedia.com/wiki/Multi-cache multicache] systems are different. In a multicache multiprocessor, there are processors sharing a physical memory through their private caches. The relatively small size of a cache and the fast bus connection to the shared memory, enables using a sophisticated coherence protocol for the multicache hardware such that the time delay of conflicting writes to a memory location is small.<ref>Kai Li, and Paul Hudak. "Memory coherence in shared virtual memory systems". Published in Journal ACM Transactions on Computer Systems (TOCS), Volume 7 Issue 4, Nov. 1989 http://dl.acm.org.prox.lib.ncsu.edu/citation.cfm?id=75104.75105&coll=DL&dl=GUIDE&CFID=251927&CFTOKEN=71004880</ref>
''Cache Consistency'' is dealt using cache coherence protocols. This model simply requires that all store operations to the same memory location by the processors be performed in some sequential order. Also, the appearance of their order to other processors is same as the order in which they are performed.


In contrast, in a shared virtual memory system on a loosely coupled multiprocessor which has no physical shared memory (with a nontrivial communication cost between processors), conflicts are not likely to be solved with negligible delay. These conflicts resemble a “page fault” in a traditional virtual memory system. Thus, there are two design choices that greatly influence the implementation of a shared virtual memory: the granularity of the memory units (i.e., the “page size”) and the strategy for maintaining coherence.
===Slow Consistency Model===


Memory coherence strategies are classified based on how they deal with '''''page synchronization''''' and '''''page ownership'''''. The algorithms for memory coherence depend on the page fault handlers, their servers and the data structures used. So ''page table'' becomes an important part of these protocols.
[[Image:MCM_SlowC_eg.png|thumbnail|right|400px|Figure 12: Representation of Order of any Load or Store in Slow Consistency<sup><span id="3body"></span></sup>]]


== Centralized Manager Algorithms ==
''Slow Consistency Model'' <ref>http://es.cs.uni-kl.de/publications/datarsg/Senf13.pdf</ref> is weaker than PRAM Consistency Model.  This model states that when a load operation is performed on a memory location then the memory returns the latest write operation performed on it. But succeeding loads to the same location may not return stores issued earlier (by the processor that issued the earlier stores) than the first load.


One way to obtain mutual exclusive access to data is to use a centralized algorithm.  The first version of this algorithm is very similar to a monitor and makes use of a '''info table''' which has an entry for every page, and also three fields for each of those pages.  The '''owner''' field keeps track of the processor which had the latest write access to the page. The '''copy set''' field has a list of every processor with a copy of the page, which is used for broadcast-free invalidation operations. Finally, the '''[http://en.wikipedia.org/wiki/Lock_(database) lock]''' field is used when synchronizing requests for the page.  Each processor in the algorithm also keeps track of page accessibility in its own page table with an '''access''' and a '''lock''' field.
In ''Figure 12'', processor P1 stores 1 at a location ''x'' and then stores 1 at another location ''y''. When P2 loads immediately after P1 store for location ''y'', it reads the value 1. However, P2 reads 0 from location ''x'' even if location ''x'' was written before location ''y''.


By setting the lock in both of the tables, the algorithm can synchronize [http://en.wikipedia.org/wiki/Page_fault page faults] whenever there are multiple processes waiting for a page, or whenever the page is in the process of being accessed. In conjunction with this are '''confirmation''' messages that are sent to let the managing processor know when it can give page access to someone else.  So, while read-page faults on the managing processor only need a message to and a message from the owner, read-page faults on the non-managing processor need an additional message to the manager and a confirmation message. For write-page faults, the message sending process is the same, except for the additional cost of an invalidation.
===Local Consistency Model===
Local Consistency Model is considered to be the weakest model. The model requires that all the load and store operations performed by a processor are appeared to that processor as if they are performed on a single processor system. Although, there is no restriction on how the order of memory operations performed by different processors will appear to different processors.


The second version of the algorithm improves on the first by eliminating the need for confirmation messages.  To accomplish this, the responsibility of [http://en.wikipedia.org/wiki/Synchronization_(computer_science) synchronizing] page ownership is moved from the manager to the individual owners.  This also means that the lock field is removed from the info table, and the copy set field is transferred to each of the page tables.  Ultimately, this removes the cost of one send and one receive from the algorithm.
===Other Consistency Models===


== Distributed Manager Algorithm ==
====Delta Consistency Model====
In order to fix the possibe bottle-neck centralized manager algorithms may create, ''Distributed Manager Algorithms'' assigns tasks to various individual processors. There are several methods of assigning these tasks. In a ''Fixed'' Distributed Manager Algorithm, there is a predetermined set of pages for which each processor is responsible. In a ''Broadcast'' Distributed Manager Algorithm, page faults results in [http://en.wikipedia.org/wiki/Broadcasting_(networking) broadcast] requests to the other processors. Due to the number of requests, the Broadcast Distributed Manager Algorithm does not scale well. In the case of the ''Dynamic'' Distributed Manager Algorithm, instead of using broadcasting requests to find page owners, each processor holds a [http://en.wikipedia.org/wiki/Page_table page table] that stores the owners for each page. Since the processors that own each page (page owners) are not static, each entry in a processor's page table is only a "hint," or a starting point for looking for the true owner.


== References ==
[http://en.wikipedia.org/wiki/Delta_consistency Delta Consistency Model] <ref>https://www.ietf.org/proceedings/50/slides/webi-1/tsld006.htm</ref>states that once a store operation is performed on a memory location then the write propagation of this newly written value takes a fixed time period (delta) after which a load operation of this value at any processor will be consistent to the value at the original processor. In other words, if the load operation of this value is performed at any other processor different from the processor which performs the latest store before a fixed amount of time period the value of the load will not be consistent with the latest value of store. After a fixed amount of time, when the write is fully propagated then all the loads to this location from any processor will be consistent.


<References>
====Eventual Consistency Model====
[1] Yan Solihin. "Fundamentals of Parallel Computer Architecture: Multichip and Multicore Systems." Solihin Publishing & Consulting LLC, 2009.


[2] Sarita V. Adve. Kourosh Gharachorloo. "Shared Memory. Consistency Models: A Tutorial."  Digital Western Research Laboratory 250 University Avenue Palo Alto. <http://www.hpl.hp.com/techreports/Compaq-DEC/WRL-95-7.pdf>
[http://en.wikipedia.org/wiki/Eventual_consistency Eventual Consistency Model] <ref>http://dl.acm.org/citation.cfm?doid=2460276.2462076</ref>states that when a sufficient amount of time is given to a change to propagate to all the processors and it is assumed that no other update has been made on this data item then this change is propagated fully to the whole system and any load to this data items returns a consistent result.


[3] Kai Li, and Paul Hudak. "Memory coherence in shared virtual memory systems". Published in Journal ACM Transactions on Computer Systems (TOCS), Volume 7 Issue 4, Nov. 1989 <http://dl.acm.org.prox.lib.ncsu.edu/citation.cfm?id=75104.75105&coll=DL&dl=GUIDE&CFID=251927&CFTOKEN=71004880>.
====Fork Consistency Model====


</References>
''[http://en.wikipedia.org/wiki/Fork_consistency Fork Consistency Model]'' <ref>https://www.usenix.org/legacy/event/osdi04/tech/full_papers/li_j/li_j.pdf</ref> states that if a store operation is performed by an un-trusted processor, then there is a possibility this the store operation by this processor is hidden from the other processors. Similarly if other processors perform any store operations then those values will be hidden from this processor. Thus, effectively they fork the views of them. This is the strongest consistency model that can be achieved with an untrusted server.


====One-Copy Consistency Model====


'''Quiz'''
''[http://en.wikipedia.org/wiki/One-copy_serializability One-Copy Consistency Model]'' <ref>https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=3&ved=0CCwQFjAC&url=http%3A%2F%2Fdb.csail.mit.edu%2Fnedbday13%2Fslides%2Fbernstein.ppsx&ei=tBIOVfyMAompNqG2g9AB&usg=AFQjCNHrRyhJ5_TK28OPEoolWC-af7dXOQ&sig2=I-ffZF0vXUxP2rXbNDCDuw</ref> is the same as sequential consistency, as though there is only one copy of the file, thus, access requests are fully serialized.


1. Which of the following is true about Broadcast Distributed manager Algorithm? (More than one options could be correct)
====Vector-Field Consistency Model====


a) It has a predetermined set of pages for which each processor is responsible.
''[http://en.wikipedia.org/wiki/Vector-field_consistency Vector-Field Consistency Model]'' <ref>http://www.gsd.inesc-id.pt/~pjpf/middleware07vector.pdf</ref> is a consistency model for replicated data. It is designed to allow bounded divergence of object replicas. In this model replica consistency is selectively and dynamically strengthened or weakened based on the on-going game state and simultaneously it manages: how the consistency degree is changed throughout the execution; and how the consistency requirements are specified.


b) Page faults results in broadcast requests to the other processors.
==Memory Consistency Models Supported by Real Multiprocessors==


c) It does not scale well due to the number of requests.
Strict memory consistency models are easy to implement compared to weaker models with a trade-off in performance. Moreover, weaker models impose a restriction on programmers to handle synchronization. However, weaker models are more desired because of their added performance improvement. One of the challenges faced by multiprocessor makers is to support backward compatibility as they move to newer and weaker models so that the legacy codes are not broken. They generally do this by consulting with OS makers, C and Java experts.


d)None.
Essentially, memory consistency deals with ordering loads and stores to different memory locations. Different models have different restrictions on ordering. For example, Sequential Consistency Model required all loads and stores in order, while Relaxed Consistency Models allow some type of reordering. Weaker models allow arbitrary reordering, limited only by explicit memory barriers.


''Figure 13'' <ref>http://www.ai.mit.edu/projects/aries/papers/consistency/computer_29_12_dec1996_p66.pdf</ref> shows ordering relaxation employed in different consistency models along with the safety nets.


2.What is the major difference between One copy Serializabilty and Sequential consistency?
[[Image:Models_relaxation.png|thumbnail|center|800px|Figure 13: Relaxations over SC by different models<sup><span id="3body"></span></sup>]]


a) No difference
''Figure14'' <ref>http://www.rdrop.com/users/paulmck/scalability/paper/ordering.2007.09.19a.pdf</ref> shows different relaxation employed on Sequential Consistency Model by various Processors.


b) One copy Serializabilty Model has only one copy of the file.
[[Image:Processor_relaxation.png|thumbnail|center|800px|Figure 14: Relaxations over SC by different processors<sup><span id="3body"></span></sup>]]


c) Sequential Consistency Model has only one copy of the file.
Few important processors and their supported memory consistency models are as follows <ref>http://www.linuxjournal.com/article/8212?page=0,1</ref>,


d) None.
* '''Alpha'''
Alpha uses weakest consistency model facilitating all kinds of memory ordering. Because of its most aggressive memory reordering, it has defined the Linux kernel memory-ordering primitives that must work on all CPUs with stricter memory ordering.


* '''Intel x86'''
Some x86 implemented a stronger Consistency models like Total Store Order (TSO). The x86-TSO is based on TSO extended the concept of a global lock. These are still Causal Consistency models <ref> Intel 64 architecture memory ordering white paper, 2007. Intel Corporation. SKU 318147-001</ref>, which allow different processors to see the writes to different locations in different orders.


3.Which of the following is a hybrid protocol?
* '''AMD64'''
AMD64 offers slightly stronger memory consistency compared to x86.


a) MSI
* '''IA64'''
IA64 offers a weak consistency model. Here, an absence of memory barrier instructions gives IA64 right to arbitrarily reorder memory references.


b) MOSI
* '''SPARK'''
Solaris on SRAK used TSO ordering, however, 64-bit Linux runs SPARK on Relaxed Memory order. Additionally, SPARK also supports Partial Store Order (PSO).


c) Cachet
* '''PA-RISC'''
This architecture permits full re-ordering of loads and stored but actual CPUs run fully ordered loads and stores.


d) Firefly
* '''POWER'''
POWER and POWER-PC CPUs provide many relaxations along with wide variety of memory-barriers like ''sync'', ''lwsync'', ''eieio'', ''isync''.


Additionally, ''Figure 15'' shows some of the other commercial systems providing different relaxations on Sequential Consistency.


4.On what basis are memory consistency strategies classified? (More than one options could be correct)
[[Image:Commertial_systems.png|thumbnail|center|800px|Figure 15: Relaxations over SC by different commercial systems<sup><span id="3body"></span></sup>]]


a) Page faults
== References ==


b) Page synchronization
<References>
[1] Yan Solihin. "Fundamentals of Parallel Computer Architecture: Multichip and Multicore Systems." Solihin Publishing & Consulting LLC, 2009.


c) Page ownership
[2] Sarita V. Adve. Kourosh Gharachorloo. "Shared Memory. Consistency Models: A Tutorial."  Digital Western Research Laboratory 250 University Avenue Palo Alto. <http://www.hpl.hp.com/techreports/Compaq-DEC/WRL-95-7.pdf>


d) None.
[3] Kai Li, and Paul Hudak. "Memory coherence in shared virtual memory systems". Published in Journal ACM Transactions on Computer Systems (TOCS), Volume 7 Issue 4, Nov. 1989 <http://dl.acm.org.prox.lib.ncsu.edu/citation.cfm?id=75104.75105&coll=DL&dl=GUIDE&CFID=251927&CFTOKEN=71004880>.


</References>


5.Which of the following are the four states in a Dragon Protocol?


a) Modified, Shared, Invalidate
'''Quiz'''


b) Modified, Exclusive, Shared Clean, and Shared Modified


c) Owned, Shared, Modified, Exclusive
1.What is the major difference between One-Copy Serializability and Sequential consistency?


d) None
a) No difference


b) One copy Serializability Model has only one copy of the file.


6.Which of the following is true about sequential consistency? (More than one options could be correct)
c) Sequential Consistency Model has only one copy of the file.


a) All orderings are enforced.
d) None.


b) Loads and stores can exchange positions freely.


c) Performance can suffer
2.On what basis are memory consistency strategies classified? (More than one option could be correct)


d) SC is deterministic
a) Page faults


b) Page synchronization


7.In Centralized Manager Algorithms, what does the owner field signify?
c) Page ownership


a) Used when synchronizing requests for the page.
d) None.


b) Keeps track of the processor which has the latest read access to the page.


c) Keeps track of the processor which has the latest write access to the page.
3.Which of the following is true about sequential consistency? (More than one option could be correct)


d) Entry for every page.
a) All orderings are enforced.


b) Loads and stores can exchange positions freely.


8.Which of the following is false? (More than one options could be correct)
c) Performance can suffer


a) Write Update method results in significant amount of traffic.
d) SC is deterministic


b) In a write through policy, the write is done only to the cache.


c) Cache coherence can be achieved by cache write policy.


d) Broadcast Distributed Manager Algorithm doesn’t scale well.


Quiz Answers: '''1. b,c 2. b 3. c 4. b,c 5. b 6. a,c 7. c 8. a,d'''
Quiz Answers: '''1. b 2. b,c 3. a,c'''

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Memory Consistency

Memory consistency deals with the ordering of all memory operations/accesses (loads and stores) to different memory locations. It can be summarized as the rule which must be enforced among all loads and stores to different locations in a shared memory by different processors. It can also be present in systems without caches.

Memory Consistency Model

In order to maintain memory consistency <ref>http://ieeexplore.ieee.org/xpl/login.jsp?tp=&arnumber=546611&url=http%3A%2F%2Fieeexplore.ieee.org%2Fstamp%2Fstamp.jsp%3Ftp%3D%26arnumber%3D546611</ref><ref>http://www1.ece.neu.edu/~jmankin/docs/jmankin_mem_const.pdf</ref> in a multiprocessor system, when a program is executed on it, a model is required to specify the behavior of how the memory has to be accessed or to provide an agreement between the memory implementation and the program which is going to utilize this memory. This model is called Memory Consistency Mode and it is used to define the ordering in which all loads and stores must be performed, both relative to each other in the same program and to other loads and stores by another program on another processor. The programmer before writing the code must have knowledge of the Memory Consistency Model used by the hardware in order to ensure program correctness. The code below from Solihin<ref>Yan Solihin. "Fundamentals of Parallel Computer Architecture: Multi-chip and Multicore Systems." Solihin Publishing & Consulting LLC, 2009.</ref> shows an example of possible inconsistency: 


                      P0                                          P1
                S1 : datum = 5                            S3 : while(!datumIsReady) {}
                S2 : datumIsReady = 1                     S4 : print datum

In this example, P0 sets the values of datum and datumIsReady to 5 and 1 respectively. By setting datumIsReady to 1, P0 signals P1 that datum is now ready. P1 spins in the while loop waiting for this flag to become 1 and then prints datum. In this example and in similar cases, it is important that the compiler understands what the programmer has intended so that the program order is preserved. Within a uni-processor, declaring which variables must be synchronized can solve this problem. For instance when using C, this can be accomplished by declaring variables that may be susceptible to inconsistency as volatile.

When a programmer writes a code, then he implicitly expects that the order of all memory accesses (loads and stores) coming out of a processor will be performed in the program order and each memory access will be performed atomically. The code below from Solihin shows another example of possible inconsistency: 


                      P0                                        P1                                       P3
                S1 : x = 5                            S3 : while(!xReady) {}                        S6: while(!xyReady)
                S2 : xReady = 1                       S4 : y = x + 4                                S7: z = x * y
                                                      S5 : xyReady = 1


In this example, initially, the values of x, y, z, xReady and xyReady are zero. Consider that the code when executed follows program program order that is S1 -> S2 -> S3 -> S4 -> S5 -> S6 -> S7.

So as per the code, firstly P0 executes its statements S1 and S2 in order and sets their values as 5 and 1 respectively. P1 receives the signal 1 from P0 and comes out of the loop in S3. P1 then reads the value of x and sets the value of y and xyReady as 9 and 1 respectively. P3 then receives the signal xyReady as 1 so it reads the value of x and y and sets the value of z. The programmer expects that the value of z should be 45 (5*9) due to the atomicity of the execution of instructions.

Figure 1: Example 2 for Memory Consistency

Now, consider the scenario given in Figure 1. P0 executes S1, which writes a value of 5 to x. This write is then propagated to P1 and P2, however it reaches P1 faster than P2. Then, P0 performs a write to xReady, which is also propagated to P1. P1 now sees the new values of xReady and x. So P1 executes its S4 statement, assigning a value of 9 to y, and then sets xyReady to 1 which is propagated to P2. P2 then comes out of its loop and reads the value of x and y. Since the value of x from P0 has yet not reached P2, P2 reads a fresh value of y but the stale value of x. Thus the output of the program is unexpected which in this case is z = 0.

From the first and second example it is clear that the implicit expectation of a programmer is:

  • Memory accesses performed by a single processor should be occurred in program order and
  • Each of them should be performed atomically.

Such an expectation is defined as Sequential Consistency.

Memory Semantics in Uniprocessor Systems

Uniprocessor languages use simple sequential semantics for memory operations, which allow the programmer to assume that all memory operations will occur one at a time in the sequential order specified by the program. Thus, the programmer can expect a load to return the value of the most recent store to the location according to sequential program order. It is sufficient to only maintain uniprocessor data and control dependences. The compiler and hardware can freely reorder operations to different locations if the uniprocessor data and control dependences are respected. This enables compiler optimizations such as register allocation, code motion, loop transformations and hardware optimizations such as pipelining, multiple issue, write buffer bypassing and forwarding, and lockup-free caches, all of which lead to overlapping and reordering of memory operations.<ref>Sarita V. Adve. Kourosh Gharachorloo. "Shared Memory. Consistency Models: A Tutorial." Digital Western Research Laboratory 250 University Avenue Palo Alto. <http://www.hpl.hp.com/techreports/Compaq-DEC/WRL-95-7.pdf</ref><ref>http://wiki.expertiza.ncsu.edu/index.php/CSC/ECE_506_Spring_2013/7a_bs</ref>

Memory Semantics in Multiprocessor Systems

Unfortunately, memory consistency is not as straightforward on multiprocessors. With regard to the examples above, instead of each process running on a separate thread, each process runs on a separate processor. With multiple processors, more problems arise with respect to order of execution. While one process might execute instructions in program order, other processes may not recognize the executions in the same order due to delays in communication. How processors handle this problem depends on the chosen consistency model <ref>http://www-vs.informatik.uni-ulm.de/teach/ss05/dsm/arizona.pdf</ref><ref>http://www.cs.columbia.edu/~Roxana/teaching/DistributedSystemsF12/lectures/lec12.pdf</ref>.

Types of Memory Consistency Models

Following Tree (Figure 2) shows different Memory Consistency models according to their weakening order. A model is said to be weaker compared to another model if it has less restrictions.

Figure 2: Types of Memory Consistency Models

The tree represents most of the memory consistency models. There are some other memory consistency models as well, which are listed as follows.

  • Delta Consistency Model
  • Eventual Consistency Model
  • Fork Consistency Model
  • One-Copy Serializability
  • Vector-Field Consistency Model

Following are the detailed explanations of different consistency models<ref>http://en.wikipedia.org/wiki/Consistency_model</ref>:

Strict Consistency Model

Strict Consistency Model is the strictest of all consistency models. It is stated as any load to a memory location returns the latest value stored to this memory location. This model implicitly assumes all store operations are propagated almost instantaneously to the other processors in the system. If a value stored at a memory location is changed then all the loads to that location will give the latest value of the store.

Sequential Consistency Model

Figure 3: Programmer's view of Sequential Consistency

The most commonly assumed memory consistency model for shared memory multiprocessors is Sequential Consistency Model <ref>http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1675439&tag</ref>. This model is similar to Atomic Consistency but it contains the possibility of optimizations to improve the performance. Sequential Consistency was formally defined by Lamport <ref>http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=1675439</ref> as follows:

“A multiprocessor system is sequentially consistent if the result of any execution is the same as if the operations of all the processors were executed in some sequential order, and the operations of each individual processor appear in this sequence in the order specified by its program.”

There are two main aspects to sequential consistency:

  • Maintenance of the program order among memory operations from individual processors
  • Maintenance of a single sequential order among memory operations from all processors

The second aspect makes it appear as if one memory operation executes atomically or instantaneously with respect to other memory operations. This model is weaker than Strict Consistency model as this model does not require all changes to be propagated instantaneously to all the other processors in the system.

Figure 4 represents how the different loads and stores are performed when Sequential Consistency Model is used in the hardware. P1 stores a value “a” then P2 stores a value “b”. P3 reads the value stored by P1 then P4 reads the value stored by P2 and so on. At each time, a single memory access operation is performed. Both P3 and P4 read the values stored by P1 and P2 in the proper order as they are propagated.

Basic Implementation of Sequential Consistency

The basic implementation of SC involves execution of one memory access at a time without overlapping it with another memory access. Thus it is required to understand the starting and ending point of a particular memory access. Memory accesses are performed when either there is a load or a store operation: Consider a load operation. A load operation is completed in below four steps:

Figure 4: Representation of Global Sequential Order of any Load or Store
  • Step 1: Computation of effective address in a functional unit.
  • Step 2: Cache access to the effective address issued by memory hierarchy.
  • Step 3: Fetching the data value associated with the address.
  • Step 4: Returning the value to the destination register of the load instruction.

Here, it is clear that Step 1 and Step 4 are not affected by other memory accesses. Effective address (Step 1) is computed in the functional unit which involves computation not access. Similarly the final value to be loaded in the destination register (Step 4) has already been fetched from the cache so it does not involve any further memory access. Thus, it can be concluded that the actual load (which involves memory access) starts from Step 2 and ends on Step 3. These two steps should be performed atomically.

Consider a store operation. A store operation is completed in below four steps:

  • Step 1: Computation of effective address in a functional unit.
  • Step 2: The store is committed by copying the destination address and the latest value to be stored to a write buffer.
  • Step 3: The store value in the write buffer is released to the cache.
  • Step 4: The store is considered complete when this new value is fully propagated to the other processors.

As the store involves multiple cache values thus effectively the store starts when the destination address is issued and the latest value is stored in the write buffer in Step 2 till Step 4 where the store is fully propagated to other caches. So these steps should be performed atomically. It can be concluded that the basic implementation of SC inflicts a lot of restrictions on how the instructions within a program have to be executed and thus it affects the performance. So in order to improve the performance of SC, few optimizations in the model are possible.

Techniques to improve Sequential Consistency performance

Performance of a Sequential Consistency model can be improved if the execution of memory accesses is made faster and when it is allowed for the memory accesses to be overlapped with respect to one another as listed below,

  • The first performance enhancement technique avoids the overlapping of execution of loads and stores but involves overlapping of the data fetches that are generated by these loads and stores. In this technique, load/store prefetching is performed on the data which is to be used in the coming load/store by changing the state of the cache block to S (load prefetching) or M (store prefetching). Thus when the actual load/store memory access is performed then it takes less time to complete.
  • The second technique of performance enhancement depends on speculation access where the execution of a load can be overlapped with the execution of the older load by speculatively assuming that the older load is executed atomically. If the older load does not get executed atomically then this younger load is canceled and it is executed again. This speculative execution is typically only implemented for loads. All stores are issued to the cache atomically only.

Relaxed Consistency Models

These models basically loosen up the memory access restrictions of Sequential Consistency model. As these models do not put a lot of restriction on the sequence of the memory accesses thus their performance is better than Sequential Consistency model. But the implementations of these models require a lot of complexity in the program. During coding, the programmers have to make sure that their programs obey the rules of the consistency model that the hardware provides.

Relaxation in the memory accesses may allow the order of execution of the instructions in a program different from the programmer’s expectation. Thus to prevent any non-deterministic outcome of the program, safety net is provided to the programmers to implement it in their programs to specify strict ordering between a pair of memory accesses. This safety net is provided in terms of fence instruction. Once a fence instruction is implemented in the program then it prohibits all the memory accesses following it until all the memory accesses before it have been completed. Fence instruction is of two types. When the fence is only applied to the stores such that there is a proper ordering of the memory accesses between all the stores before the fence and all following it then such type of fence is called store fence/barrier. On the other side, when the fence is only applied to the loads such that there should be perfect ordering between the loads before the fence appears and the loads after the fence then such a fence is called load fence/barrier.

Figure 5: Representation of any Load or Store in Causal Consistency

When a fence is implemented in the program then all the memory accesses younger than fence are flushed out from the pipeline. Firstly all the memory accesses older than fence are completed and then the processor state is restored to the state prior to the fence instruction and execution is resumed from that point.

Causal Consistency Model

Causal Consistency Model <ref>http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.50.3356</ref> is a weaker model of Sequential Consistency model. Here, a differentiation is made between events that are potentially causally connected with each other and those that are not. A system provides Causal Consistency if memory operations that potentially are causally related are seen by every processor of the system in the same order. Operations that are not causally related are said to be concurrent. Concurrent writes may be seen in different order by different processors but Condition-writes (i.e. ones that are potentially causally related) must be seen by all processors in the same order. Causal Consistency model is weaker than Sequential Consistency model in the sense that all the concurrent writes in this model can be seen in any order by all the other processors in the system while they are required to be seen in the same order by other processors in Sequential Consistency.

When a store operation follows a load operation performed by a processor then the load and store are considered causally connected. Similarly, when a load operation follows a store operation then it is also considered causally connected. Also, the transitive closure of the previous two types of pairs of operations are also causally related.

Figure 5 shows an order of loads and stores in this model. Store operation w(x)1 by processor P1 is causally related to store operation w(x)2 by processor P2 but the store operations w(x)3 by processor P1 and w(x)2 by processor P2 are concurrent writes thus can be seen in any order by processor P3 and P4.

Processor Consistency Model

Figure 6: Representation of Order of any Load or Store in Processor Consistency

Processor Consistency model is a weaker model than Causal Consistency. In Sequential Consistency a proper ordering is forced on all the memory accesses, which are, Load -> Load, Load -> Store, Store -> Store, and Store -> Load. The basic implementation of a Processor Consistency Model is based on relaxing the ordering between an older store and a younger store (Store -> Load). In this model, when a store has not completed, a younger load is allowed to issue to the cache and even complete. The importance of this is that store instructions can be queued in the write buffer and be completed at a later time without the use of load speculation. In the mean time, loads do not require to wait for the older stores to complete and can access the cache and hence they reduce the load latency. In case of Processor Consistency, when a load is issued to the cache then it is not rolled back even if the illusion of atomicity is broken in contrast to SC where the load is rolled back at once. This result is better performance of Processor Consistency as compared to Sequential Consistency. Processor Consistency only relaxes one ordering rule out of four, hence it only affects the correctness of code that has a store followed by a load. If a program is a properly synchronized program, PC provides the same outcome as Sequential Consistency. In a post and wait synchronization in which a processor produces a data value and sets a flag to signal the availability of the new value. This involves at least two store instructions, which are ordered with respect to each other in Processor Consistency. Once the consumer sees the flag high, it performs at least two loads and this ordering is also guaranteed under Processor Consistency. Thus, post and wait sync produces the same outcome in Processor Consistency as in Sequential Consistency.

Processor Consistency model is weaker than Causal Consistency model in the sense that it requires all the stores performed by a single processor to be seen in the same order by different processors in the system as they are issued but stores performed by the different processors can be seen in any order by other processors in the system while in Causal Consistency all causally related stores are required to be seen in the same order by all the processors. Some definitions of Processor Consistency model involve the concept of cache coherence thus if there are two different stores performed by two different processors on the same memory location then the model requires that these stores are to be seen in the same order by the different processors in the system as they are issued. Figure 6 represents the same concept. Two stores w(x)1 and w(x)2 are performed by two different processors P1 and P2 but as they are performed on the same memory location thus the same order is required to be seen by processor P3 and P4.

PRAM Consistency Model

Figure 7: Representation of Order of any Load or Store in PRAM Consistency

PRAM Consistency Model <ref>http://cs.gmu.edu/cne/modules/dsm/orange/pram_con.html</ref> <ref>http://www.e-reading.link/chapter.php/143358/220/Tanenbaum_-_Distributed_operating_systems.html</ref>is pipelined random access memory consistency. It is also known as FIFO consistency. This consistency model is even more relaxed than Processor Consistency model. In this model, all processors see the stores performed by one processor in the same order as they were issued from that processor. But stores performed by different processors may be seen in a different order by different processors. In this consistency model, only the store order needs to be consistent not the load and that is why it is named as pipelined. PRAM Consistency is easy to implement. The model simply says that there are no guarantees about the order in which different processors see the stores, except that two or more stores performed by the single processor must arrive in order, as if they were in a pipeline. This model is weaker than Processor Consistency in the sense that it allows to see the stores by different processors in any order even if the store is performed on same memory location. In case of Processor Consistency, cache coherence also works thus store operations performed by different processors on the same location are required to be seen in the same ordered they are issued.

Figure 7 shows that w(x)1 performed by processor P1 and w(x)2 performed by processor P2 are seen in different order by processor P3 and P4 which is not allowed in Processor Consistency as both the stores are performed on same memory location x.

Weak Ordering Model

When a programmer writes a program then he makes sure that the ordering issue is addressed in the program using synchronization primitives. So it can be said that a majority of the programs are properly synchronized. These synchronization primitives can be of the form of barriers, point-to-point synchronization, lock etc. Also, it can be concluded that if a program is properly synchronized, there is no data race that can occur. Data race is defined as the simultaneous access of a single location by multiple threads in which at least one of the access is a store. Simultaneous loads do not change the outcome of the loads hence they cannot produce data race. However, simultaneous stores may overwrite each other hence they can induce data race. A simultaneous load and store also may cause the load to return different values. The implication of the lack of data race in a properly synchronized program is that the ordering of memory accesses can be relaxed except at synchronization points. This concept is implemented in Weak Ordering Consistency Model. The Weak Ordering model uses two assumptions,

Figure 8: Representation of Order of any Load or Store in Weak Ordering
  • Programs are properly synchronized.
  • Programmers correctly express to the hardware, which loads and stores act as synchronization accesses.

Based on the assumptions, the correct behavior of a synchronization access can be defined as:

  • Before a synchronization access can issue, all prior loads, stores and synchronization accesses must have completed
  • All loads, stores and synchronization accesses following it must not have issued.

In the Figure 8, S represents the synchronization access point. As the Weak Ordering model says that the ordering of the memory accesses can be relaxed between the synchronization access points thus the store w(x)1 and w(x)2 performed by processor P1 can be seen in a different order by processor P2 and P3 as long as the synchronization point has not reached. If the load r(x)1 and r(x)2 are performed after the synchronization point then all the loads performed by different processors must see the latest stores.

Basic Implementation of Weak Ordering Model

When a synchronization access is encountered at the processor pipeline, first of all, all the memory accesses following this synchronization point are flushed out of the processor pipeline. Then this synchronization access itself is made to halt until all the memory accesses before this synchronization point are completed. All the loads have obtained their value and all the stores have propagated their values. Weak Ordering is more relaxed than Processor Consistency because a Weak Ordering compiler can reorder the memory accesses and it just have to make sure that they do not cross the synchronization points. In Processor Consistency only Store -> Load access is relaxed. This model works well if the critical section is big containing more memory accesses to be executed. If the critical section is small then there are very less opportunities to reorder the memory accesses, as there are less number of them. So when critical section is small then Processor Consistency model does better than Weak Ordering model. Weak Ordering model is more relaxed but its program complexity is higher than Processor Consistency.

Release Consistency Model

Figure 9: Illustration of Allowed Execution Order In Release Consistency
Figure 10: Representation of Order of any Load or Store in Release Consistency

The Release Consistency model <ref>http://dl.acm.org/citation.cfm?id=139676 </ref> implementation is based on two different types of synchronization accesses:

Acquire synchronization (lock): which ensures that no younger load/store executes before the acquire is complete. Thus it prevents upward migration of memory accesses but not downward migration.

Release synchronization (unlock): which ensures that all older loads/stores complete before the release is issued. This it prevents downward migration of memory accesses but no upward migration.

It is also made sure that acquires and releases must execute atomically with respect to one another. This implies that they must not appear to have overlapped their execution with respect of one another. This model requires all synchronization accesses in a program to be identified correctly and completely, so that the hardware can ensure correct execution of properly synchronized program.

In Figure 9, the synchronization access lock (A) operation prevents upward migration but allows downward migration. The synchronization access unlock (A) operation prevents downward operation but allows upward migration. Due to this, the operation lock (B) can be moved upward. But as in WO, all synchronization accesses are never overlapped, thus lock (A), lock (B), unlock (A) and unlock (B) are not overlapped. Thus, in brief it can be said that WO allows overlapping of critical sections.

Basic Implementation of Release Consistency Model

The release synchronization must prevent downward migration, so when a release synchronization access is encountered in the processor pipeline, the release access is halted until all prior memory accesses have completed. An acquire synchronization must prevent upward migration. When an acquire synchronization access is encountered in the processor pipeline, all instructions younger than it (including all loads and stores) are canceled and re-executed after the acquire synchronization completes. Similar to Weak Ordering, Release Consistency allows the compiler to freely recorder loads and stores except that they cannot migrate upward past as acquire synchronization and cannot migrate downward past a release synchronization. Thus overlapping of critical section is allowed in Weak Ordering which is not allowed in Release Consistency hence this model is weaker than Release Consistency although Weak Ordering has higher programming complexity than Release Consistency.

Figure 10 shows that when processor P1 enters critical section by acquiring lock (A(L)), it performs two stores and then it exits the critical section by releasing the lock (Q(L)). Since processor P2 also uses the same critical section thus it reads the latest value of store by processor P1. As processor P3 does not use the critical section thus it does not matter which value it reads.

Lazy Release Consistency Model

Figure 11: Write propagation in Release Consistency and in Lazy Release Consistence

The Lazy Release Consistency model is a further optimization of the Release Consistency model (RC) in which it is considered that the thread that executes an acquire synchronization does not need values written by another thread until the acquire synchronization is completed. When a store is executed in a critical section, then before the unlock is executed, it is made sure that the memory access is propagated fully to the other caches. Then the unlock operation is executed, which involves another store where the value of lockvar is changed to 0. This value is again propagated fully to other caches and then after that the lock operation is executed. It can be concluded that the value of the store in the first critical section is not required until the lock operation for the second critical section is executed. So it can be said that the propagation of the values written prior to the release synchronization can be delayed until the release synchronization is complete and then both the values written in the critical section and on release synchronization can be propagated together to the other caches. This model is beneficial in the cases where there is a little bandwidth available between the processors or in a system where there are high overheads due to the propagation of small amount of data or infrequent propagation of large amount of data.

As shown in the Figure 11, for Lazy Release Consistency, the writes from statements S1 and S2 are combined together and then propagated once S2 is complete.

Entry Consistency Model

Entry Consistency Model <ref>http://cs.gmu.edu/cne/modules/dsm/orange/entry_con.html</ref> is similar to Release Consistency Model as this model also requires the programmer to use acquire and release synchronization accesses at the start and end of each critical section but this model also requires each ordinary shared variable to be associated with some synchronization variable such as a lock or barrier. When an acquire synchronization is done on a variable then only those ordinary shared variables which are guarded by acquire are made consistent. Entry Consistency model is distinguished from Lazy Release Consistency such that Lazy Release Consistency does not associate ordinary shared variables with lock or barrier synchronization accesses.

Cache Consistency Model

Cache Consistency is dealt using cache coherence protocols. This model simply requires that all store operations to the same memory location by the processors be performed in some sequential order. Also, the appearance of their order to other processors is same as the order in which they are performed.

Slow Consistency Model

Figure 12: Representation of Order of any Load or Store in Slow Consistency

Slow Consistency Model <ref>http://es.cs.uni-kl.de/publications/datarsg/Senf13.pdf</ref> is weaker than PRAM Consistency Model. This model states that when a load operation is performed on a memory location then the memory returns the latest write operation performed on it. But succeeding loads to the same location may not return stores issued earlier (by the processor that issued the earlier stores) than the first load.

In Figure 12, processor P1 stores 1 at a location x and then stores 1 at another location y. When P2 loads immediately after P1 store for location y, it reads the value 1. However, P2 reads 0 from location x even if location x was written before location y.

Local Consistency Model

Local Consistency Model is considered to be the weakest model. The model requires that all the load and store operations performed by a processor are appeared to that processor as if they are performed on a single processor system. Although, there is no restriction on how the order of memory operations performed by different processors will appear to different processors.

Other Consistency Models

Delta Consistency Model

Delta Consistency Model <ref>https://www.ietf.org/proceedings/50/slides/webi-1/tsld006.htm</ref>states that once a store operation is performed on a memory location then the write propagation of this newly written value takes a fixed time period (delta) after which a load operation of this value at any processor will be consistent to the value at the original processor. In other words, if the load operation of this value is performed at any other processor different from the processor which performs the latest store before a fixed amount of time period the value of the load will not be consistent with the latest value of store. After a fixed amount of time, when the write is fully propagated then all the loads to this location from any processor will be consistent.

Eventual Consistency Model

Eventual Consistency Model <ref>http://dl.acm.org/citation.cfm?doid=2460276.2462076</ref>states that when a sufficient amount of time is given to a change to propagate to all the processors and it is assumed that no other update has been made on this data item then this change is propagated fully to the whole system and any load to this data items returns a consistent result.

Fork Consistency Model

Fork Consistency Model <ref>https://www.usenix.org/legacy/event/osdi04/tech/full_papers/li_j/li_j.pdf</ref> states that if a store operation is performed by an un-trusted processor, then there is a possibility this the store operation by this processor is hidden from the other processors. Similarly if other processors perform any store operations then those values will be hidden from this processor. Thus, effectively they fork the views of them. This is the strongest consistency model that can be achieved with an untrusted server.

One-Copy Consistency Model

One-Copy Consistency Model <ref>https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=3&ved=0CCwQFjAC&url=http%3A%2F%2Fdb.csail.mit.edu%2Fnedbday13%2Fslides%2Fbernstein.ppsx&ei=tBIOVfyMAompNqG2g9AB&usg=AFQjCNHrRyhJ5_TK28OPEoolWC-af7dXOQ&sig2=I-ffZF0vXUxP2rXbNDCDuw</ref> is the same as sequential consistency, as though there is only one copy of the file, thus, access requests are fully serialized.

Vector-Field Consistency Model

Vector-Field Consistency Model <ref>http://www.gsd.inesc-id.pt/~pjpf/middleware07vector.pdf</ref> is a consistency model for replicated data. It is designed to allow bounded divergence of object replicas. In this model replica consistency is selectively and dynamically strengthened or weakened based on the on-going game state and simultaneously it manages: how the consistency degree is changed throughout the execution; and how the consistency requirements are specified.

Memory Consistency Models Supported by Real Multiprocessors

Strict memory consistency models are easy to implement compared to weaker models with a trade-off in performance. Moreover, weaker models impose a restriction on programmers to handle synchronization. However, weaker models are more desired because of their added performance improvement. One of the challenges faced by multiprocessor makers is to support backward compatibility as they move to newer and weaker models so that the legacy codes are not broken. They generally do this by consulting with OS makers, C and Java experts.

Essentially, memory consistency deals with ordering loads and stores to different memory locations. Different models have different restrictions on ordering. For example, Sequential Consistency Model required all loads and stores in order, while Relaxed Consistency Models allow some type of reordering. Weaker models allow arbitrary reordering, limited only by explicit memory barriers.

Figure 13 <ref>http://www.ai.mit.edu/projects/aries/papers/consistency/computer_29_12_dec1996_p66.pdf</ref> shows ordering relaxation employed in different consistency models along with the safety nets.

Figure 13: Relaxations over SC by different models

Figure14 <ref>http://www.rdrop.com/users/paulmck/scalability/paper/ordering.2007.09.19a.pdf</ref> shows different relaxation employed on Sequential Consistency Model by various Processors.

Figure 14: Relaxations over SC by different processors

Few important processors and their supported memory consistency models are as follows <ref>http://www.linuxjournal.com/article/8212?page=0,1</ref>,

  • Alpha

Alpha uses weakest consistency model facilitating all kinds of memory ordering. Because of its most aggressive memory reordering, it has defined the Linux kernel memory-ordering primitives that must work on all CPUs with stricter memory ordering.

  • Intel x86

Some x86 implemented a stronger Consistency models like Total Store Order (TSO). The x86-TSO is based on TSO extended the concept of a global lock. These are still Causal Consistency models <ref> Intel 64 architecture memory ordering white paper, 2007. Intel Corporation. SKU 318147-001</ref>, which allow different processors to see the writes to different locations in different orders.

  • AMD64

AMD64 offers slightly stronger memory consistency compared to x86.

  • IA64

IA64 offers a weak consistency model. Here, an absence of memory barrier instructions gives IA64 right to arbitrarily reorder memory references.

  • SPARK

Solaris on SRAK used TSO ordering, however, 64-bit Linux runs SPARK on Relaxed Memory order. Additionally, SPARK also supports Partial Store Order (PSO).

  • PA-RISC

This architecture permits full re-ordering of loads and stored but actual CPUs run fully ordered loads and stores.

  • POWER

POWER and POWER-PC CPUs provide many relaxations along with wide variety of memory-barriers like sync, lwsync, eieio, isync.

Additionally, Figure 15 shows some of the other commercial systems providing different relaxations on Sequential Consistency.

Figure 15: Relaxations over SC by different commercial systems

References

<References> [1] Yan Solihin. "Fundamentals of Parallel Computer Architecture: Multichip and Multicore Systems." Solihin Publishing & Consulting LLC, 2009.

[2] Sarita V. Adve. Kourosh Gharachorloo. "Shared Memory. Consistency Models: A Tutorial." Digital Western Research Laboratory 250 University Avenue Palo Alto. <http://www.hpl.hp.com/techreports/Compaq-DEC/WRL-95-7.pdf>

[3] Kai Li, and Paul Hudak. "Memory coherence in shared virtual memory systems". Published in Journal ACM Transactions on Computer Systems (TOCS), Volume 7 Issue 4, Nov. 1989 <http://dl.acm.org.prox.lib.ncsu.edu/citation.cfm?id=75104.75105&coll=DL&dl=GUIDE&CFID=251927&CFTOKEN=71004880>.

</References>


Quiz


1.What is the major difference between One-Copy Serializability and Sequential consistency?

a) No difference

b) One copy Serializability Model has only one copy of the file.

c) Sequential Consistency Model has only one copy of the file.

d) None.


2.On what basis are memory consistency strategies classified? (More than one option could be correct)

a) Page faults

b) Page synchronization

c) Page ownership

d) None.


3.Which of the following is true about sequential consistency? (More than one option could be correct)

a) All orderings are enforced.

b) Loads and stores can exchange positions freely.

c) Performance can suffer

d) SC is deterministic



Quiz Answers: 1. b 2. b,c 3. a,c

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