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Elements of cache
design
Pentium IV cache
organization
M. V. Wilkes, “Slave Memories and Dynamic Storage Allocation,”
IEEE Transactions on Electronic Computers, vol. EC-14, no. 2,
pp. 270-271, April 1965.

2
Small amount of fast memory
 Sits between normal main memory and CPU
 May be located on CPU chip

Cache memory
CPU requests contents of memory location
 Check cache for this data
 If present, get from cache (fast)
 If not present, read required block from main
memory to cache
 Then deliver from cache to CPU
 Cache includes tags to identify which block of
main memory is in each cache slot

Cache memory
Addressing
 Size
 Mapping Function
 Replacement Algorithm
 Write Policy
 Block Size
 Number of Caches



Where does cache sit?
◦ Between processor and virtual memory management unit
◦ Between MMU and main memory



Logical cache (virtual cache) stores data using virtual
addresses
◦ Processor accesses cache directly, not thorough physical cache
◦ Cache access faster, before MMU address translation



Physical cache stores data using main memory physical
addresses


Cost
◦ More cache is expensive



Speed
◦ More cache is faster (up to a point)
◦ Checking cache for data takes time
Cache of 64kByte
 Cache block of 4 bytes


◦ i.e. cache is 16k (214) lines of 4 bytes

16MBytes main memory
 24 bit address


◦ (224=16M)


Each block of main memory maps to only one
cache line
◦ i.e. if a block is in cache, it must be in one specific place

Address is in two parts
 Least Significant w bits identify unique word
 Most Significant s bits specify one memory block
 The MSBs are split into a cache line field r and a
tag of s-r (most significant)

Tag s-r

Line or Slot r

8




14

24 bit address
2 bit word identifier (4 byte block)
22 bit block identifier
◦ 8 bit tag (=22-14)
◦ 14 bit slot or line




No two blocks in the same line have the same Tag field
Check contents of cache by finding line and checking Tag

Word w
2
Cache memory
Cache memory
Address length = (s + w) bits
 Number of addressable units = 2s+w words or
bytes
 Block size = line size = 2w words or bytes
 Number of blocks in main memory = 2s+ w/2w =
2s
 Number of lines in cache = m = 2r
 Size of tag = (s – r) bits

Simple
 Inexpensive
 Fixed location for given block


◦ If a program accesses 2 blocks that map to the same line
repeatedly, cache misses are very high
A main memory block can load into any line of
cache
 Memory address is interpreted as tag and word
 Tag uniquely identifies block of memory
 Every line’s tag is examined for a match
 Cache searching gets expensive

Cache memory
Cache memory
Tag 22 bit





Word
2 bit

22 bit tag stored with each 32 bit block of data
Compare tag field with tag entry in cache to check for hit
Least significant 2 bits of address identify which 16 bit
word is required from 32 bit data block
Address length = (s + w) bits
 Number of addressable units = 2s+w words or
bytes
 Block size = line size = 2w words or bytes
 Number of blocks in main memory = 2s+ w/2w =
2s
 Number of lines in cache = undetermined
 Size of tag = s bits

Cache is divided into a number of sets
 Each set contains a number of lines
 A given block maps to any line in a given set


◦ e.g. Block B can be in any line of set i


e.g. 2 lines per set
◦ 2 way associative mapping
◦ A given block can be in one of 2 lines in only one set
13 bit set number
 Block number in main memory is modulo 213

Cache memory
Cache memory
Tag 9 bit

Set 13 bit

Use set field to determine cache set to look in
 Compare tag field to see if we have a hit


Word
2 bit
Address length = (s + w) bits
 Number of addressable units = 2s+w words or
bytes
 Block size = line size = 2w words or bytes
 Number of blocks in main memory = 2d
 Number of lines in set = k
 Number of sets = v = 2d
 Number of lines in cache = kv = k * 2d
 Size of tag = (s – d) bits

No choice
 Each block only maps to one line
 Replace that line

Hardware implemented algorithm (speed)
 Least Recently used (LRU)
 e.g. in 2 way set associative
 First in first out (FIFO)


◦ replace block that has been in cache longest


Least frequently used
◦ replace block which has had fewest hits



Random
Must not overwrite a cache block unless main
memory is up to date
 Multiple CPUs may have individual caches
 I/O may address main memory directly

All writes go to main memory as well as cache
 Multiple CPUs can monitor main memory traffic to
keep local (to CPU) cache up to date
 Lots of traffic
 Slows down writes




Remember bogus write through caches!
Updates initially made in cache only
 Update bit for cache slot is set when update
occurs
 If block is to be replaced, write to main memory
only if update bit is set
 Other caches get out of sync
 I/O must access main memory through cache
 N.B. 15% of memory references are writes




Retrieve not only desired word but a number of adjacent
words as well
Increased block size will increase hit ratio at first
◦ the principle of locality



Hit ratio will decreases as block becomes even bigger

◦ Probability of using newly fetched information becomes less than
probability of reusing replaced



Larger blocks

◦ Reduce number of blocks that fit in cache
◦ Data overwritten shortly after being fetched
◦ Each additional word is less local so less likely to be needed





No definitive optimum value has been found
8 to 64 bytes seems reasonable
For HPC systems, 64- and 128-byte most common


High logic density enables caches on chip
◦ Faster than bus access
◦ Frees bus for other transfers



Common to use both on and off chip cache
◦
◦
◦
◦
◦

L1 on chip, L2 off chip in static RAM
L2 access much faster than DRAM or ROM
L2 often uses separate data path
L2 may now be on chip
Resulting in L3 cache
 Bus access or now on chip…




80386 – no on chip cache
80486 – 8k using 16 byte lines and four way set associative
organization
Pentium (all versions) – two on chip L1 caches
◦ Data & instructions




Pentium III – L3 cache added off chip
Pentium 4
◦ L1 caches

 8k bytes
 64 byte lines
 four way set associative

◦ L2 cache





Feeding both L1 caches
256k
128 byte lines
8 way set associative

◦ L3 cache on chip
Problem

Solution

Processor on which feature
first appears

Add external cache using faster
memory technology.

386

External memory slower than the system bus.

Increased processor speed results in external bus becoming a
bottleneck for cache access.

Move external cache on-chip,
operating at the same speed as the
processor.

486

486

Internal cache is rather small, due to limited space on chip

Add external L2 cache using faster
technology than main memory
Create separate data and instruction
caches.

Pentium

Create separate back-side bus that
runs at higher speed than the main
(front-side) external bus. The BSB is
dedicated to the L2 cache.

Pentium Pro

Contention occurs when both the Instruction Prefetcher and
the Execution Unit simultaneously require access to the
cache. In that case, the Prefetcher is stalled while the
Execution Unit’s data access takes place.

Increased processor speed results in external bus becoming a
bottleneck for L2 cache access.

Move L2 cache on to the processor
chip.
Some applications deal with massive databases and must
have rapid access to large amounts of data. The on-chip
caches are too small.

Pentium II

Add external L3 cache.

Pentium III

Move L3 cache on-chip.

Pentium 4
Cache memory


Fetch/Decode Unit
◦ Fetches instructions from L2 cache
◦ Decode into micro-ops
◦ Store micro-ops in L1 cache



Out of order execution logic
◦ Schedules micro-ops
◦ Based on data dependence and resources
◦ May speculatively execute



Execution units
◦ Execute micro-ops
◦ Data from L1 cache
◦ Results in registers



Memory subsystem
◦ L2 cache and systems bus



Decodes instructions into RISC like micro-ops before L1 cache
Micro-ops fixed length
◦ Superscalar pipelining and scheduling




Pentium instructions long & complex
Performance improved by separating decoding from scheduling & pipelining
◦ (More later – ch14)



Data cache is write back
◦ Can be configured to write through



L1 cache controlled by 2 bits in register
◦ CD = cache disable
◦ NW = not write through
◦ 2 instructions to invalidate (flush) cache and write back then invalidate



L2 and L3 8-way set-associative
◦ Line size 128 bytes
Core

Cache
Type

Cache Size (kB)

Cache Line Size
(words)

Associativity

Location

Write Buffer
Size (words)

ARM720T

Unified

8

4

4-way

Logical

8

ARM920T

Split

16/16 D/I

8

64-way

Logical

16

ARM926EJ-S

Split

4-128/4-128 D/I

8

4-way

Logical

16

ARM1022E

Split

16/16 D/I

8

64-way

Logical

16

ARM1026EJ-S

Split

4-128/4-128 D/I

8

4-way

Logical

8

Intel StrongARM

Split

16/16 D/I

4

32-way

Logical

32

Intel Xscale

Split

32/32 D/I

8

32-way

Logical

32

ARM1136-JF-S

Split

4-64/4-64 D/I

8

4-way

Physical

32


Small FIFO write buffer
◦
◦
◦
◦
◦
◦
◦
◦

Enhances memory write performance
Between cache and main memory
Small c.f. cache
Data put in write buffer at processor clock speed
Processor continues execution
External write in parallel until empty
If buffer full, processor stalls
Data in write buffer not available until written
 So keep buffer small
Cache memory


Manufacturer sites
◦ Intel
◦ ARM



Search on cache

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Cache memory

  • 1. Elements of cache design Pentium IV cache organization
  • 2. M. V. Wilkes, “Slave Memories and Dynamic Storage Allocation,” IEEE Transactions on Electronic Computers, vol. EC-14, no. 2, pp. 270-271, April 1965. 2
  • 3. Small amount of fast memory  Sits between normal main memory and CPU  May be located on CPU chip 
  • 5. CPU requests contents of memory location  Check cache for this data  If present, get from cache (fast)  If not present, read required block from main memory to cache  Then deliver from cache to CPU  Cache includes tags to identify which block of main memory is in each cache slot 
  • 7. Addressing  Size  Mapping Function  Replacement Algorithm  Write Policy  Block Size  Number of Caches 
  • 8.  Where does cache sit? ◦ Between processor and virtual memory management unit ◦ Between MMU and main memory  Logical cache (virtual cache) stores data using virtual addresses ◦ Processor accesses cache directly, not thorough physical cache ◦ Cache access faster, before MMU address translation  Physical cache stores data using main memory physical addresses
  • 9.  Cost ◦ More cache is expensive  Speed ◦ More cache is faster (up to a point) ◦ Checking cache for data takes time
  • 10. Cache of 64kByte  Cache block of 4 bytes  ◦ i.e. cache is 16k (214) lines of 4 bytes 16MBytes main memory  24 bit address  ◦ (224=16M)
  • 11.  Each block of main memory maps to only one cache line ◦ i.e. if a block is in cache, it must be in one specific place Address is in two parts  Least Significant w bits identify unique word  Most Significant s bits specify one memory block  The MSBs are split into a cache line field r and a tag of s-r (most significant) 
  • 12. Tag s-r Line or Slot r 8    14 24 bit address 2 bit word identifier (4 byte block) 22 bit block identifier ◦ 8 bit tag (=22-14) ◦ 14 bit slot or line   No two blocks in the same line have the same Tag field Check contents of cache by finding line and checking Tag Word w 2
  • 15. Address length = (s + w) bits  Number of addressable units = 2s+w words or bytes  Block size = line size = 2w words or bytes  Number of blocks in main memory = 2s+ w/2w = 2s  Number of lines in cache = m = 2r  Size of tag = (s – r) bits 
  • 16. Simple  Inexpensive  Fixed location for given block  ◦ If a program accesses 2 blocks that map to the same line repeatedly, cache misses are very high
  • 17. A main memory block can load into any line of cache  Memory address is interpreted as tag and word  Tag uniquely identifies block of memory  Every line’s tag is examined for a match  Cache searching gets expensive 
  • 20. Tag 22 bit    Word 2 bit 22 bit tag stored with each 32 bit block of data Compare tag field with tag entry in cache to check for hit Least significant 2 bits of address identify which 16 bit word is required from 32 bit data block
  • 21. Address length = (s + w) bits  Number of addressable units = 2s+w words or bytes  Block size = line size = 2w words or bytes  Number of blocks in main memory = 2s+ w/2w = 2s  Number of lines in cache = undetermined  Size of tag = s bits 
  • 22. Cache is divided into a number of sets  Each set contains a number of lines  A given block maps to any line in a given set  ◦ e.g. Block B can be in any line of set i  e.g. 2 lines per set ◦ 2 way associative mapping ◦ A given block can be in one of 2 lines in only one set
  • 23. 13 bit set number  Block number in main memory is modulo 213 
  • 26. Tag 9 bit Set 13 bit Use set field to determine cache set to look in  Compare tag field to see if we have a hit  Word 2 bit
  • 27. Address length = (s + w) bits  Number of addressable units = 2s+w words or bytes  Block size = line size = 2w words or bytes  Number of blocks in main memory = 2d  Number of lines in set = k  Number of sets = v = 2d  Number of lines in cache = kv = k * 2d  Size of tag = (s – d) bits 
  • 28. No choice  Each block only maps to one line  Replace that line 
  • 29. Hardware implemented algorithm (speed)  Least Recently used (LRU)  e.g. in 2 way set associative  First in first out (FIFO)  ◦ replace block that has been in cache longest  Least frequently used ◦ replace block which has had fewest hits  Random
  • 30. Must not overwrite a cache block unless main memory is up to date  Multiple CPUs may have individual caches  I/O may address main memory directly 
  • 31. All writes go to main memory as well as cache  Multiple CPUs can monitor main memory traffic to keep local (to CPU) cache up to date  Lots of traffic  Slows down writes   Remember bogus write through caches!
  • 32. Updates initially made in cache only  Update bit for cache slot is set when update occurs  If block is to be replaced, write to main memory only if update bit is set  Other caches get out of sync  I/O must access main memory through cache  N.B. 15% of memory references are writes 
  • 33.   Retrieve not only desired word but a number of adjacent words as well Increased block size will increase hit ratio at first ◦ the principle of locality  Hit ratio will decreases as block becomes even bigger ◦ Probability of using newly fetched information becomes less than probability of reusing replaced  Larger blocks ◦ Reduce number of blocks that fit in cache ◦ Data overwritten shortly after being fetched ◦ Each additional word is less local so less likely to be needed    No definitive optimum value has been found 8 to 64 bytes seems reasonable For HPC systems, 64- and 128-byte most common
  • 34.  High logic density enables caches on chip ◦ Faster than bus access ◦ Frees bus for other transfers  Common to use both on and off chip cache ◦ ◦ ◦ ◦ ◦ L1 on chip, L2 off chip in static RAM L2 access much faster than DRAM or ROM L2 often uses separate data path L2 may now be on chip Resulting in L3 cache  Bus access or now on chip…
  • 35.    80386 – no on chip cache 80486 – 8k using 16 byte lines and four way set associative organization Pentium (all versions) – two on chip L1 caches ◦ Data & instructions   Pentium III – L3 cache added off chip Pentium 4 ◦ L1 caches  8k bytes  64 byte lines  four way set associative ◦ L2 cache     Feeding both L1 caches 256k 128 byte lines 8 way set associative ◦ L3 cache on chip
  • 36. Problem Solution Processor on which feature first appears Add external cache using faster memory technology. 386 External memory slower than the system bus. Increased processor speed results in external bus becoming a bottleneck for cache access. Move external cache on-chip, operating at the same speed as the processor. 486 486 Internal cache is rather small, due to limited space on chip Add external L2 cache using faster technology than main memory Create separate data and instruction caches. Pentium Create separate back-side bus that runs at higher speed than the main (front-side) external bus. The BSB is dedicated to the L2 cache. Pentium Pro Contention occurs when both the Instruction Prefetcher and the Execution Unit simultaneously require access to the cache. In that case, the Prefetcher is stalled while the Execution Unit’s data access takes place. Increased processor speed results in external bus becoming a bottleneck for L2 cache access. Move L2 cache on to the processor chip. Some applications deal with massive databases and must have rapid access to large amounts of data. The on-chip caches are too small. Pentium II Add external L3 cache. Pentium III Move L3 cache on-chip. Pentium 4
  • 38.  Fetch/Decode Unit ◦ Fetches instructions from L2 cache ◦ Decode into micro-ops ◦ Store micro-ops in L1 cache  Out of order execution logic ◦ Schedules micro-ops ◦ Based on data dependence and resources ◦ May speculatively execute  Execution units ◦ Execute micro-ops ◦ Data from L1 cache ◦ Results in registers  Memory subsystem ◦ L2 cache and systems bus
  • 39.   Decodes instructions into RISC like micro-ops before L1 cache Micro-ops fixed length ◦ Superscalar pipelining and scheduling   Pentium instructions long & complex Performance improved by separating decoding from scheduling & pipelining ◦ (More later – ch14)  Data cache is write back ◦ Can be configured to write through  L1 cache controlled by 2 bits in register ◦ CD = cache disable ◦ NW = not write through ◦ 2 instructions to invalidate (flush) cache and write back then invalidate  L2 and L3 8-way set-associative ◦ Line size 128 bytes
  • 40. Core Cache Type Cache Size (kB) Cache Line Size (words) Associativity Location Write Buffer Size (words) ARM720T Unified 8 4 4-way Logical 8 ARM920T Split 16/16 D/I 8 64-way Logical 16 ARM926EJ-S Split 4-128/4-128 D/I 8 4-way Logical 16 ARM1022E Split 16/16 D/I 8 64-way Logical 16 ARM1026EJ-S Split 4-128/4-128 D/I 8 4-way Logical 8 Intel StrongARM Split 16/16 D/I 4 32-way Logical 32 Intel Xscale Split 32/32 D/I 8 32-way Logical 32 ARM1136-JF-S Split 4-64/4-64 D/I 8 4-way Physical 32
  • 41.  Small FIFO write buffer ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ Enhances memory write performance Between cache and main memory Small c.f. cache Data put in write buffer at processor clock speed Processor continues execution External write in parallel until empty If buffer full, processor stalls Data in write buffer not available until written  So keep buffer small
  • 43.  Manufacturer sites ◦ Intel ◦ ARM  Search on cache