1. 1 CSE 45432 SUNY New Paltz Chapter Nine Multiprocessors

2. 2 CSE 45432 SUNY New Paltz Multiprocessors Idea: create powerful computers by connecting many smaller ones good news: works for timesharing (better than supercomputer) vector processing may be coming back bad news: its really hard to write good concurrent programs many commercial failures Shared Memory Multiprocessor or SMP - Symmetric Multiprocessor Distributed Memory Multiprocessor or Network connected MP

3. 3 CSE 45432 SUNY New Paltz Classification Shared address space -- Distributed address space: –Which memory locations can a processor access from an instruction? –When a processor does not have access to the entire memory in the system, information is shared by message passing. Uniform memory access, UMA -- Non-uniform memory access, NUMA: –Does the delay for accessing a memory location depend on the address of that location? –UMA: Shared memory multiprocessor or symmetric multiprocessor –NUMA: Distributed memory multiprocessor Parallel Processors -- Cluster of processors: –Speed of the interconnections (bus, switch, network). –Single operating system or one OS for each processor. –User writes many programs for the processors or user writes one parallel program and a run-time system (or parallel compiler) distributes the work to the processors.

4. 4 CSE 45432 SUNY New Paltz Parallel Programs Parallel programs need to: –Synchronize (locks, semaphores). –Share data ( shared memory or send / receive primitives). Speedup, S(n) of an n processor system is the time to execute on one processor divided by the time to execute on n processors. –Linear speedup : S(n) = k X n –Communication slows down the parallel system. –Synchronization ( needed for data dependence) also slows down the system. Amdal’s law: Parallel execution time = the sum of: –Execution time for the parallel part ÷ n –Execution time for the non-parallel part

5. 5 CSE 45432 SUNY New Paltz Barrier Synchronization Example: sum of A(i) for i = 1, ….., 64 on 4 processors: –Each processor computers the sum of 16 numbers. –One processor computes the sum of 4 partial sums Parallel programs frequently need Barrier Synchronization: –When any processor reaches the barrier, it waits until all processors reach that barrier, before execution continues. Processor 1 Processor 2 Processor 3

6. 6 CSE 45432 SUNY New Paltz Cache Coherence in SMP’s Different caches may contain different value for the same memory location

7. 7 CSE 45432 SUNY New Paltz Snooping Cache Coherence Protocols Each processor monitors the activity on the bus On a read miss, all caches check to see if they have a copy of the requested block. If yes, they supply the data. On the write miss, all caches check to see of they have a copy of the requested data. If yes, they either invalidate the local copy, or update it with the new value. Can have either write back or write through policy.

8. 8 CSE 45432 SUNY New Paltz Example: Write invalidate with write back

9. 9 CSE 45432 SUNY New Paltz Example: Write update

10. 10 CSE 45432 SUNY New Paltz Multiprocessors Connected by Networks May have only non-shared address spare -- that is, each processor can access only local memory and shared data is through message passing. May have a global shared address space -- that is, a processor can access any location in the entire address space. Because some memory accesses have to go through the network, the machine is a NUMA. Programming models: –Each processor has only local variables. –Each processor ahs local variables but can also access global variables shared by all processors. Many network topologies can be sued to connect the processor / memory pairs: –Rings –Mesh, Tori, K-ary n-cube –Hypercube –Multi-stage networks (cross-bars and Omega networks).

11. 11 CSE 45432 SUNY New Paltz Multiprocessors Connected as a Ring & a Tree

12. 12 CSE 45432 SUNY New Paltz Multiprocessors Connected as a hypercube

13. 13 CSE 45432 SUNY New Paltz Multiprocessors Connected as a k-ary n-cube

14. 14 CSE 45432 SUNY New Paltz Concluding Remarks Evolution vs. Revolution “More often the expense of innovation comes from being too disruptive to computer users” “Acceptance of hardware ideas requires acceptance by software people; therefore hardware people should learn about software. And if software people want good machines, they must learn more about hardware to be able to communicate with and thereby influence hardware engineers.”