1. Lecture 29 Computer Arch. From: Supercomputing in Plain English Part VII: Multicore Madness Henry Neeman, Director OU Supercomputing Center for Education & Research University of Oklahoma Wednesday October 17 2007

2. Supercomputing in Plain English: Multicore Madness Wednesday October 17 2007 2 Outline The March of Progress Multicore/Many-core Basics Software Strategies for Multicore/Many-core A Concrete Example: Weather Forecasting

3. The March of Progress

4. Supercomputing in Plain English: Multicore Madness Wednesday October 17 2007 4 10 racks @ 1000 lbs per rack 270 Pentium4 Xeon CPUs, 2.0 GHz, 512 KB L2 cache 270 GB RAM, 400 MHz FSB 8 TB disk Myrinet2000 Interconnect 100 Mbps Ethernet Interconnect OS: Red Hat Linux Peak speed: 1.08 TFLOP/s (1.08 trillion calculations per second) One of the first Pentium4 clusters! OU’s TeraFLOP Cluster, 2002 boomer.oscer.ou.edu

5. Supercomputing in Plain English: Multicore Madness Wednesday October 17 2007 5 TeraFLOP, Prototype 2006, Sale 2011 http://news.com.com/2300-1006_3-6119652.html 9 years from room to chip!

6. Supercomputing in Plain English: Multicore Madness Wednesday October 17 2007 6 Moore’s Law In 1965, Gordon Moore was an engineer at Fairchild Semiconductor. He noticed that the number of transistors that could be squeezed onto a chip was doubling about every 18 months. It turns out that computer speed is roughly proportional to the number of transistors per unit area. Moore wrote a paper about this concept, which became known as “Moore’s Law.”

7. Supercomputing in Plain English: Multicore Madness Wednesday October 17 2007 7 Moore’s Law in Practice Year log(Speed) CPU

8. Supercomputing in Plain English: Multicore Madness Wednesday October 17 2007 8 Moore’s Law in Practice Year log(Speed) CPU Network Bandwidth

9. Supercomputing in Plain English: Multicore Madness Wednesday October 17 2007 9 Moore’s Law in Practice Year log(Speed) CPU Network Bandwidth RAM

10. Supercomputing in Plain English: Multicore Madness Wednesday October 17 2007 10 Moore’s Law in Practice Year log(Speed) CPU Network Bandwidth RAM 1/Network Latency

11. Supercomputing in Plain English: Multicore Madness Wednesday October 17 2007 11 Moore’s Law in Practice Year log(Speed) CPU Network Bandwidth RAM 1/Network Latency Software

12. Supercomputing in Plain English: Multicore Madness Wednesday October 17 2007 12 Fastest Supercomputer vs. Moore www.top500.org

13. The Tyranny of the Storage Hierarchy

14. Supercomputing in Plain English: Multicore Madness Wednesday October 17 2007 14 The Storage Hierarchy Registers Cache memory Main memory (RAM) Hard disk Removable media (e.g., DVD) Internet Fast, expensive, few Slow, cheap, a lot [5] [6]

15. Supercomputing in Plain English: Multicore Madness Wednesday October 17 2007 15 RAM is Slow CPU 351 GB/sec [7] 10.66 GB/sec [9] (3%) Bottleneck The speed of data transfer between Main Memory and the CPU is much slower than the speed of calculating, so the CPU spends most of its time waiting for data to come in or go out.

16. Supercomputing in Plain English: Multicore Madness Wednesday October 17 2007 16 Why Have Cache? CPU Cache is nearly the same speed as the CPU, so the CPU doesn’t have to wait nearly as long for stuff that’s already in cache: it can do more operations per second! 351 GB/sec [7] 10.66 GB/sec [9] (3%) 253 GB/sec [8] (72%)

17. Supercomputing in Plain English: Multicore Madness Wednesday October 17 2007 17 Storage Use Strategies Register reuse: Do a lot of work on the same data before working on new data. Cache reuse: The program is much more efficient if all of the data and instructions fit in cache; if not, try to use what’s in cache a lot before using anything that isn’t in cache. Data locality: Try to access data that are near each other in memory before data that are far. I/O efficiency: Do a bunch of I/O all at once rather than a little bit at a time; don’t mix calculations and I/O.

18. Supercomputing in Plain English: Multicore Madness Wednesday October 17 2007 18 A Concrete Example OSCER’s big cluster, topdawg, has Irwindale CPUs: single core, 3.2 GHz, 800 MHz Front Side Bus. The theoretical peak CPU speed is 6.4 GFLOPs (double precision) per CPU, and in practice we’ve gotten as high as 94% of that. So, in theory each CPU could consume 143 GB/sec. The theoretical peak RAM bandwidth is 6.4 GB/sec, but in practice we get about half that. So, any code that does less than 45 calculations per byte transferred between RAM and cache has speed limited by RAM bandwidth.

19. Good Cache Reuse Example

20. Supercomputing in Plain English: Multicore Madness Wednesday October 17 2007 20 A Sample Application Matrix-Matrix Multiply Let A, B and C be matrices of sizes nr  nc, nr  nk and nk  nc, respectively: The definition of A = B C is for r  {1, nr}, c  {1, nc}.

21. Supercomputing in Plain English: Multicore Madness Wednesday October 17 2007 21 Matrix Multiply: Naïve Version SUBROUTINE matrix_matrix_mult_naive (dst, src1, src2, & & nr, nc, nq) IMPLICIT NONE INTEGER,INTENT(IN) :: nr, nc, nq REAL,DIMENSION(nr,nc),INTENT(OUT) :: dst REAL,DIMENSION(nr,nq),INTENT(IN) :: src1 REAL,DIMENSION(nq,nc),INTENT(IN) :: src2 INTEGER :: r, c, q DO c = 1, nc DO r = 1, nr dst(r,c) = 0.0 DO q = 1, nq dst(r,c) = dst(r,c) + src1(r,q) * src2(q,c) END DO END SUBROUTINE matrix_matrix_mult_naive

22. Supercomputing in Plain English: Multicore Madness Wednesday October 17 2007 22 Performance of Matrix Multiply Better

23. Supercomputing in Plain English: Multicore Madness Wednesday October 17 2007 23 Tiling

24. Supercomputing in Plain English: Multicore Madness Wednesday October 17 2007 24 Tiling Tile: A small rectangular subdomain of a problem domain. Sometimes called a block or a chunk. Tiling: Breaking the domain into tiles. Tiling strategy: Operate on each tile to completion, then move to the next tile. Tile size can be set at runtime, according to what’s best for the machine that you’re running on.

25. Supercomputing in Plain English: Multicore Madness Wednesday October 17 2007 25 Tiling Code SUBROUTINE matrix_matrix_mult_by_tiling (dst, src1, src2, nr, nc, nq, & & rtilesize, ctilesize, qtilesize) IMPLICIT NONE INTEGER,INTENT(IN) :: nr, nc, nq REAL,DIMENSION(nr,nc),INTENT(OUT) :: dst REAL,DIMENSION(nr,nq),INTENT(IN) :: src1 REAL,DIMENSION(nq,nc),INTENT(IN) :: src2 INTEGER,INTENT(IN) :: rtilesize, ctilesize, qtilesize INTEGER :: rstart, rend, cstart, cend, qstart, qend DO cstart = 1, nc, ctilesize cend = cstart + ctilesize - 1 IF (cend > nc) cend = nc DO rstart = 1, nr, rtilesize rend = rstart + rtilesize - 1 IF (rend > nr) rend = nr DO qstart = 1, nq, qtilesize qend = qstart + qtilesize - 1 IF (qend > nq) qend = nq CALL matrix_matrix_mult_tile(dst, src1, src2, nr, nc, nq, & & rstart, rend, cstart, cend, qstart, qend) END DO END SUBROUTINE matrix_matrix_mult_by_tiling

26. Supercomputing in Plain English: Multicore Madness Wednesday October 17 2007 26 Multiplying Within a Tile SUBROUTINE matrix_matrix_mult_tile (dst, src1, src2, nr, nc, nq, & & rstart, rend, cstart, cend, qstart, qend) IMPLICIT NONE INTEGER,INTENT(IN) :: nr, nc, nq REAL,DIMENSION(nr,nc),INTENT(OUT) :: dst REAL,DIMENSION(nr,nq),INTENT(IN) :: src1 REAL,DIMENSION(nq,nc),INTENT(IN) :: src2 INTEGER,INTENT(IN) :: rstart, rend, cstart, cend, qstart, qend INTEGER :: r, c, q DO c = cstart, cend DO r = rstart, rend IF (qstart == 1) dst(r,c) = 0.0 DO q = qstart, qend dst(r,c) = dst(r,c) + src1(r,q) * src2(q,c) END DO END SUBROUTINE matrix_matrix_mult_tile

27. Supercomputing in Plain English: Multicore Madness Wednesday October 17 2007 27 Reminder: Naïve Version, Again SUBROUTINE matrix_matrix_mult_naive (dst, src1, src2, & & nr, nc, nq) IMPLICIT NONE INTEGER,INTENT(IN) :: nr, nc, nq REAL,DIMENSION(nr,nc),INTENT(OUT) :: dst REAL,DIMENSION(nr,nq),INTENT(IN) :: src1 REAL,DIMENSION(nq,nc),INTENT(IN) :: src2 INTEGER :: r, c, q DO c = 1, nc DO r = 1, nr dst(r,c) = 0.0 DO q = 1, nq dst(r,c) = dst(r,c) + src1(r,q) * src2(q,c) END DO END SUBROUTINE matrix_matrix_mult_naive

28. Supercomputing in Plain English: Multicore Madness Wednesday October 17 2007 28 Performance with Tiling Better

29. Supercomputing in Plain English: Multicore Madness Wednesday October 17 2007 29 The Advantages of Tiling It allows your code to exploit data locality better, to get much more cache reuse: your code runs faster! It’s a relatively modest amount of extra coding (typically a few wrapper functions and some changes to loop bounds). If you don’t need tiling – because of the hardware, the compiler or the problem size – then you can turn it off by simply setting the tile size equal to the problem size.

30. Supercomputing in Plain English: Multicore Madness Wednesday October 17 2007 30 Why Does Tiling Work Here? Cache optimization works best when the number of calculations per byte is large. For example, with matrix-matrix multiply on an n × n matrix, there are O(n 3 ) calculations (on the order of n 3 ), but only O(n 2 ) bytes of data. So, for large n, there are a huge number of calculations per byte transferred between RAM and cache.

31. Multicore/Many-core Basics

32. Supercomputing in Plain English: Multicore Madness Wednesday October 17 2007 32 What is Multicore? In the olden days (i.e., the first half of 2005), each CPU chip had one “brain” in it. More recently, each CPU chip has 2 cores (brains), and, starting in late 2006, 4 cores. Jargon: Each CPU chip plugs into a socket, so these days, to avoid confusion, people refer to sockets and cores, rather than CPUs or processors. Each core is just like a full blown CPU, except that it shares its socket with one or more other cores – and therefore shares its bandwidth to RAM.

33. Supercomputing in Plain English: Multicore Madness Wednesday October 17 2007 33 Dual Core Core

34. Supercomputing in Plain English: Multicore Madness Wednesday October 17 2007 34 Quad Core Core

35. Supercomputing in Plain English: Multicore Madness Wednesday October 17 2007 35 Oct Core Core Core

36. Supercomputing in Plain English: Multicore Madness Wednesday October 17 2007 36 The Challenge of Multicore: RAM Each socket has access to a certain amount of RAM, at a fixed RAM bandwidth per SOCKET. As the number of cores per socket increases, the contention for RAM bandwidth increases too. At 2 cores in a socket, this problem isn’t too bad. But at 16 or 32 or 80 cores, it’s a huge problem. So, applications that are cache optimized will get big speedups. But, applications whose performance is limited by RAM bandwidth are going to speed up only as fast as RAM bandwidth speeds up. RAM bandwidth speeds up much slower than CPU speeds up.

37. Supercomputing in Plain English: Multicore Madness Wednesday October 17 2007 37 The Challenge of Multicore: Network Each node has access to a certain number of network ports, at a fixed number of network ports per NODE. As the number of cores per node increases, the contention for network ports increases too. At 2 cores in a socket, this problem isn’t too bad. But at 16 or 32 or 80 cores, it’s a huge problem. So, applications that do minimal communication will get big speedups. But, applications whose performance is limited by the number of MPI messages are going to speed up very very little – and may even crash the node.

38. Supercomputing in Plain English: Multicore Madness Wednesday October 17 2007 38 Multicore/Many-core Problem Most multicore chip families have relatively small cache per core (e.g., 2 MB) – and this problem seems likely to remain. Small TLBs make the problem worse: 512 KB per core rather than 2 MB. So, to get good cache reuse, you need to partition algorithm so subproblem needs no more than 512 KB.

39. Supercomputing in Plain English: Multicore Madness Wednesday October 17 2007 39 The T.L.B. on a Current Chip On Intel Core Duo (“Yonah”): Cache size is 2 MB per core. Page size is 4 KB. A core’s data TLB size is 128 page table entries. Therefore, D-TLB only covers 512 KB of cache.

40. Supercomputing in Plain English: Multicore Madness Wednesday October 17 2007 40 The T.L.B. on a Current Chip On Intel Core Duo (“Yonah”): Cache size is 2 MB per core. Page size is 4 KB. A core’s data TLB size is 128 page table entries. Therefore, D-TLB only covers 512 KB of cache. The cost of a TLB miss is 49 cycles, equivalent to as many as 196 calculations! (4 FLOPs per cycle) http://www.digit-life.com/articles2/cpu/rmma-via-c7.html

41. Supercomputing in Plain English: Multicore Madness Wednesday October 17 2007 41 What Do We Need? We need much bigger caches! TLB must be big enough to cover the entire cache. It’d be nice to have RAM speed increase as fast as core counts increase, but let’s not kid ourselves.

42. Supercomputing in Plain English: Multicore Madness Wednesday October 17 2007 42 To Learn More Supercomputing http://www.oscer.ou.edu/education.php

43. Lecture 29Fall 2007 Computer Architecture Fall 2007 Lecture 29. CMPs & SMTs Adapted from Mary Jane Irwin ( www.cse.psu.edu/~mji )www.cse.psu.edu/~mji [Adapted from Computer Organization and Design, Patterson & Hennessy, © 2005]

44. Lecture 29Fall 2007 Multithreading on A Chip  Find a way to “hide” true data dependency stalls, cache miss stalls, and branch stalls by finding instructions (from other process threads) that are independent of those stalling instructions  Multithreading – increase the utilization of resources on a chip by allowing multiple processes (threads) to share the functional units of a single processor l Processor must duplicate the state hardware for each thread – a separate register file, PC, instruction buffer, and store buffer for each thread l The caches, TLBs, BHT, BTB can be shared (although the miss rates may increase if they are not sized accordingly) l The memory can be shared through virtual memory mechanisms l Hardware must support efficient thread context switching

45. Lecture 29Fall 2007 Types of Multithreading on a Chip  Fine-grain – switch threads on every instruction issue l Round-robin thread interleaving (skipping stalled threads) l Processor must be able to switch threads on every clock cycle l Advantage – can hide throughput losses that come from both short and long stalls l Disadvantage – slows down the execution of an individual thread since a thread that is ready to execute without stalls is delayed by instructions from other threads  Coarse-grain – switches threads only on costly stalls (e.g., L2 cache misses) l Advantages – thread switching doesn’t have to be essentially free and much less likely to slow down the execution of an individual thread l Disadvantage – limited, due to pipeline start-up costs, in its ability to overcome throughput loss -Pipeline must be flushed and refilled on thread switches

46. Lecture 29Fall 2007 Multithreaded Example: Sun’s Niagara (UltraSparc T1)  Eight fine grain multithreaded single-issue, in-order cores (no speculation, no dynamic branch prediction) Ultra IIINiagara Data width64-b Clock rate1.2 GHz1.0 GHz Cache (I/D/L2) 32K/64K/ (8M external) 16K/8K/3M Issue rate4 issue1 issue Pipe stages14 stages6 stages BHT entries16K x 2-bNone TLB entries128I/512D64I/64D Memory BW2.4 GB/s~20GB/s Transistors29 million200 million Power (max)53 W<60 W 4-way MT SPARC pipe Crossbar 4-way banked L2$ Memory controllers I/O shared funct’s

47. Lecture 29Fall 2007 Niagara Integer Pipeline  Cores are simple (single-issue, 6 stage, no branch prediction), small, and power-efficient FetchThrd SelDecodeExecuteMemoryWB I$ ITLB Inst bufx4 PC logicx4 Decode RegFile x4 Thread Select Logic ALU Mul Shft Div D$ DTLB Stbufx4 Thrd Sel Mux Crossbar Interface Instr type Cache misses Traps & interrupts Resource conflicts From MPR, Vol. 18, #9, Sept. 2004

48. Lecture 29Fall 2007 Simultaneous Multithreading (SMT)  A variation on multithreading that uses the resources of a multiple-issue, dynamically scheduled processor (superscalar) to exploit both program ILP and thread- level parallelism (TLP) l Most SS processors have more machine level parallelism than most programs can effectively use (i.e., than have ILP) l With register renaming and dynamic scheduling, multiple instructions from independent threads can be issued without regard to dependencies among them -Need separate rename tables (ROBs) for each thread -Need the capability to commit from multiple threads (i.e., from multiple ROBs) in one cycle  Intel’s Pentium 4 SMT called hyperthreading l Supports just two threads (doubles the architecture state)

49. Lecture 29Fall 2007 Threading on a 4-way SS Processor Example Thread AThread B Thread CThread D Time → Issue slots → SMTFine MTCoarse MT

50. Lecture 29Fall 2007 Multicore Xbox360 – “Xenon” processor  To provide game developers with a balanced and powerful platform l Three SMT processors, 32KB L1 D$ & I$, 1MB UL2 cache l 165M transistors total l 3.2 Ghz Near-POWER ISA l 2-issue, 21 stage pipeline, with 128 128-bit registers l Weak branch prediction – supported by software hinting l In order instructions l Narrow cores – 2 INT units, 2 128-bit VMX units, 1 of anything else  An ATI-designed 500MZ GPU w/ 512MB of DDR3DRAM l 337M transistors, 10MB framebuffer l 48 pixel shader cores, each with 4 ALUs

51. Lecture 29Fall 2007 Xenon Diagram Core 0 L1D L1I Core 1 L1D L1I Core 2 L1D L1I 1MB UL2 512MB DRAM GPU BIU/IO Intf 3D Core 10MB EDRAM Video Out MC0 MC1 Analog Chip XMA Dec SMC DVD HDD Port Front USBs (2) Wireless MU ports (2 USBs) Rear USB (1) Ethernet IR Audio Out Flash Systems Control Video Out

52. Lecture 29Fall 2007 The PS3 “Cell” Processor Architecture  Composed of a Non-SMP Architecture l 234M transistors @ 4Ghz l 1 Power Processing Element, 8 “Synergistic” (SIMD) PE’s l 512KB L2 $ - Massively high bandwidth (200GB/s) bus connects it to everything else l The PPE is strangely similar to one of the Xenon cores -Almost identical, really. Slight ISA differences, and fine-grained MT instead of real SMT l The real differences lie in the SPEs (21M transistors each) -An attempt to ‘fix’ the memory latency problem by giving each processor complete control over it’s own 256KB “scratchpad” – 14M transistors –Direct mapped for low latency -4 vector units per SPE, 1 of everything else – 7M trans.

53. Lecture 29Fall 2007 The PS3 “Cell” Processor Architecture

54. Lecture 29Fall 2007 How to make use of the SPEs

55. Lecture 29Fall 2007 What about the Software?  Makes use of special IBM “Hypervisor” l Like an OS for OS’s l Runs both a real time OS (for sound) and non-real time (for things like AI)  Software must be specially coded to run well l The single PPE will be quickly bogged down l Must make use of SPEs wherever possible l This isn’t easy, by any standard  What about Microsoft? l Development suite identifies which 6 threads you’re expected to run l Four of them are DirectX based, and handled by the OS l Only need to write two threads, functionally  http://ps3forums.com/showthread.php?t=22858 http://ps3forums.com/showthread.php?t=22858

56. Lecture 29Fall 2007 Next Lecture and Reminders  Reminders l Final is Thursday, December 13 from 10-11:50 AM in ITT 322