The MESI protocol is an Invalidate based cache coherence protocol, and is one of the most common protocol which support write-back caches. It is also known as the Illinois protocol (due to its development at the University of Illinois at Urbana-Champaign^[1]). By using write back caches, we save a lot on bandwidth which is generally wasted on a write through cache. There is always a dirty state present in write back caches which indicates that the data in the cache is different from that in main memory. This protocol reduces the number of Main memory transactions with respect to the MSI protocol. This marks a significant improvement in the performance.

The letters in the acronym MESI represent four exclusive states that a cache line can be marked with (encoded using two additional bits):

Modified(M)

The cache line is present only in the current cache, and is dirty - it has been modified(M state) from the value in main memory. The cache is required to write the data back to main memory at some time in the future, before permitting any other read of the (no longer valid) main memory state. The write-back changes the line to the Shared state(S).

Exclusive(E)

The cache line is present only in the current cache, but is clean - it matches main memory. It may be changed to the Shared state at any time, in response to a read request. Alternatively, it may be changed to the Modified state when writing to it.

Shared(S)

Indicates that this cache line may be stored in other caches of the machine and is clean - it matches the main memory. The line may be discarded (changed to the Invalid state) at any time.

Invalid(I)

Indicates that this cache line is invalid (unused).

For any given pair of caches, the permitted states of a given cache line are as follows:

	M	E	S	I
M	N	N	N	Y
E	N	N	N	Y
S	N	N	Y	Y
I	Y	Y	Y	Y

When the block is marked M(modified), the copies of the block in other Caches are marked as I(Invalid).

The state of the FSM transitions from one state to another based on 2 stimuli. The first stimulus is the processor specific Read and Write request. For example: A processor P1 has a Block X in its Cache, and there is a request from the processor to read or write from that block. The second stimulus comes from other processors, which doesn't have the Cache block or the updated data in its Cache. The bus requests are monitored with the help of Snoopers which snoops all the bus transactions.

Following are the different type of Processor requests and Bus side requests:

Processor Requests to Cache includes the following operations:

1. PrRd: The processor requests to read a Cache block.
2. PrWr: The processor requests to write a Cache block

Bus side requests are the following:

1. BusRd: Snooped request that indicates there is a read request to a Cache block made by another processor
2. BusRdX: Snooped request that indicates there is a write request to a Cache block made by another processor which doesn't already have the block.
3. BusUpgr: Snooped request that indicates that there is a write request to a Cache block made by another processor but that processor already has that Cache block resident in its Cache.
4. Flush: Snooped request that indicates that an entire cache block is written back to the main memory by another processor.
5. FlushOpt : Snooped request that indicates that an entire cache block is posted on the bus in order to supply it to another processor(Cache to Cache transfers).

(Such Cache to Cache transfers can reduce the read miss latency if the latency to bring the block from the main memory is more than from Cache to Cache transfers which is generally the case in bus based systems. But in multicore architectures, where the coherence is maintained at the level of L2 caches, there is on chip L3 cache, it may be faster to fetch the missed block from the L3 cache rather than from another L2)

Snooping Operation: In a snooping system, all caches on the bus monitor (or snoop) all the bus transactions. Every cache has a copy of the sharing status of every block of physical memory it has stored. The state of the block is changed according to the State Diagram of the protocol used.(Refer image above for MESI state diagram). The bus has snoopers on both sides:

1. Snooper towards the Processor/Cache side:
2. The snooping function on the memory side is done by the Memory controller.

Explanation:

Each Cache block has its own 4 state Finite State Machine(refer image 1.1). The State transitions and the responses at a particular state with respect to different inputs are shown in Table1.1 and Table 1.2

Table 1.1 State Transitions and response to various Processor Operations

Initial State	Operation	Response
Invalid(I)	PrRd	BusRd is posted on the bus Memory Controller fetches data from the Main memory Snoopers snoop request and check if copies of the block exist in any of the caches. If yes, mark the new block as (S)Shared, If no, mark the new block as (E)Exclusive
	PrWr	Issue BusRdX signal on the bus Invalidate the copies of the block in other Caches. Mark the state of the block as (M)Modified in the requestor Cache.
Exclusive(E)	PrRd	Read to the block is a Cache Hit No bus transactions generated
	PrWr	No bus transaction generated The state transition takes place from Exclusive to (M)Modified
Shared(S)	PrRd	Read to the block is a Cache Hit. No bus transactions generated
	PrWr	Issues BusUpgr signal on the bus. State transition to (M)Modified. All the copies of the block in other Caches is invalidated.
Modified(M)	PrRd	State remains the same. Read to the block is a Cache hit
	PrWr	State remains the same. Write to the block is a Cache hit.

Table 1.2 State Transitions and response to various Bus Operations

Initial State	Operation	Response
Invalid(I)	BusRd	Ignored
	BusRdX/BusUpgr	Ignored
Exclusive(E)	BusRd	Since, it implies a read miss, the state of the Cache block must transition to Shared state.
	BusRdX	Local copy is flushed and then invalidated. FlushOpt (Cache to Cache transfer ) takes place.
Shared(S)	BusRd	It implies a read miss. One of the processor supplies the block through FlushOpt.
	BusRdX	One of the copy is flushed through the bus through FlushOpt and the other is invalidated.
Modified(M)	BusRd	Block is flushed to ensure write propagartion to Main memory. State Transitions to (S)Shared.
	BusRdX	Block is flushed onto the bus. Block transitions to Invalid State.

A write may only be performed if the cache line is in the Modified or Exclusive state. If it is in the Shared state, all other cached copies must be invalidated first. This is typically done by a broadcast operation known as Request For Ownership (RFO).

A cache that holds a line in the Modified state must snoop (intercept) all attempted reads (from all of the other caches in the system) of the corresponding main memory location and insert the data that it holds. This is typically done by forcing the read to back off (i.e. retry later), then writing the data to main memory and changing the cache line to the Shared state.

A cache that holds a line in the Shared state must listen for invalidate or request-for-ownership broadcasts from other caches, and discard the line (by moving it into Invalid state) on a match.

The Modified and Exclusive states are always precise: i.e. they match the true cache line ownership situation in the system. The Shared state may be imprecise: if another cache discards a Shared line, this cache may become the sole owner of that cache line, but it will not be promoted to Exclusive state. Other caches do not broadcast notices when they discard cache lines, and this cache could not use such notifications without maintaining a count of the number of shared copies.

In that sense the Exclusive state is an opportunistic optimization: If the CPU wants to modify a cache line that is in state S, a bus transaction is necessary to invalidate all other cached copies. State E enables modifying a cache line with no bus transaction.

Illustration of MESI protocol operations^[2]

Let us assume that the following stream of read/write references. All the references are to the same location and the digit refers to the processor issuing the reference.

The stream is : R1, W1, R3, W3, R1, R3, R2.

Initially we assume that all the caches are empty.

Table 1.3 An example of how MESI works

	Reuqest	P1	P2	P3	Bus Request	Data Supplier
0	Initially	-	-	-	-	-
1	R1	E	-	-	BusRd	Mem
2	W1	M	-	-	-	-
3	R3	S	-	S	BusRd	P1's Cache
4	W3	I	-	M	BusUpgr	-
5	R1	S	-	S	BusRd	P3's Cache
6	R3	S	-	S	-	-
7	R2	S	S	S	BusRd	P1/P3's Cache

Note: The term snooping referred to below is a protocol for maintaining cache coherency in symmetric multiprocessing environments. All the caches on the bus monitor(snoop) the bus if they have a copy of the block of data that is requested on the bus.

Step 1: As the cache is initially empty, so the main memory provides P1 with the block and it becomes exclusive state.

Step 2: As the block is already present in the cache and in an exclusive state so it directly modifies that without any bus instruction. The block is now in a modified state.

Step 3: In this step, a BusRd is posted on the bus and the snooper on P3 senses this. It then flushes the data and changes it's state to shared. The block on P3 also changes it's state to shared as it has received data from another cache. There is no main memory access here.

Step 4: Here a BusUpgr is posted on the bus and the snooper on P1 senses this and invalidates the block as it is going to be modified by another cache. P3 then changes it's block state to modified.

Step 5: As the current state is invalid, thus it will post a BusRd on the bus. The snooper at P3 will sense this and so will flush the data out. The state of the both the blocks on P1 and P3 will become shared now. Notice that this is when even the main memory will be updated with the previously modified data.

Step 6: There is a hit in the cache and it is in the shared state so no bus request is made here.

Step 7: There is cache miss on P2 and a BusRd is posted. The snooper on P1 and P3 sense this and both will attempt a flush. Whichever gets access of the bus first will do that operation.

A Read For Ownership (RFO) is an operation in cache coherency protocols that combines a read and an invalidate broadcast. The operation is issued by a processor trying to write into a cache line that is in the shared (S) or invalid (I) states of the MESI protocol. The operation causes all other cache to set the state of such a line to I. A read for ownership transaction is a read operation with intent to write to that memory address. Therefore, this operation is exclusive. It brings data to the cache and invalidates all other processor caches which hold this memory line.

MESI in its naive, straightforward implementation exhibits two particular low-performance behavior. First, when writing to an invalid cache line, there is a long delay while the line is fetched from another CPU. Second, moving cache lines to the invalid state is time-consuming. To mitigate these delays, CPUs implement store buffers and invalidate queues.

A store buffer is used when writing to an invalid cache line. Since the write will proceed anyway, the CPU issues a read-invalid message (hence the cache line in question and all other CPUs' cache lines which store that memory address are invalidated) and then pushes the write into the store buffer, to be executed when the cache line finally arrives in the cache.

A direct consequence of the store buffer's existence is that when a CPU commits a write, that write is not immediately written in the cache. Therefore, whenever a CPU needs to read a cache line, it first has to scan its own store buffer for the existence of the same line, as there is a possibility that the same line was written by the same CPU before but hasn't yet been written in the cache (the preceding write is still waiting in the store buffer). Note that while a CPU can read its own previous writes in its store buffer, other CPUs *cannot see those writes* before they are flushed from the store buffer to the cache - a CPU cannot scan the store buffer of other CPUs.

Invalide Queues

With regard to invalidation messages, CPUs implement invalidate queues, whereby incoming invalidate requests are instantly acknowledged but not in fact acted upon. Instead, invalidation messages simply enter an invalidation queue and their processing occurs as soon as possible (but not necessarily instantly). Consequently, a CPU can be oblivious to the fact that a cache line in its cache is actually invalid, as the invalidation queue contains invalidations which have been received but haven't yet been applied. Note that, unlike the store buffer, the CPU can't scan the invalidation queue, as that CPU and the invalidation queue are physically located on opposite sides of the cache.

As a result, memory barriers are required. A store barrier will flush the store buffer, ensuring all writes have been applied to that CPU's cache. A read barrier will flush the invalidation queue, thus ensuring that all writes by other CPUs become visible to the flushing CPU. Furthermore, memory management units do not scan the store buffer, causing similar problems. This effect is already visible in single threaded processors.^[3]

The most striking difference between the two protocols is the extra "exclusive" state present in the MESI protocol. This extra state was added as it had many advantages to it. In case a processor needs to read a block which none of the other processors have and then write to it, here two bus transactions will take place in the case of MSI. First will be a BusRd request to read the block followed by a BusRdX request before writing to the block. The BusRdX request in this scenario is useless as none of the other caches have the same block, but there is no way for one cache to know about this. Thus, MESI protocol overcomes this limitation by adding an Exclusive state, which results in saving a bus request. This makes a huge difference when a sequential application is running. As only one processor will be working on it, all the accesses will be exclusive. The MSI would have performed very badly here. Even in the case of a highly parallel application where there is minimal sharing of data, MESI would be very faster.

In case continuous reads and writes operations are performed by various caches on a particular block, then the data has to be flushed on to the bus every time. Thus the main memory will pull this on every flush and remain in a clean state. But this is not a requirement and is just an additional overhead caused because of the implementation of MESI. This challenge was overcome by MOESI protocol.^[4]

• Coherence protocol
• MSI protocol, the basic protocol from which the MESI protocol is derived.
• Write-once (cache coherency), an early form of the MESI protocol.
• MOSI protocol
• MOESI protocol
• MESIF protocol
• MERSI protocol
• Dragon protocol
• Firefly protocol

• An interactive MESI simulation
• An open source MESI controller (Verilog)

Category:Cache coherency