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Chapter 3 Interacting with Distributed Arrays Chung-Wei Chen, Department of Mathematics, National Taiwan University 2011/10/28

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Outline Introduction to Beamformer Algorithm of Beamformer Code of Beamformer How to Debug Performance Introduction to Parrallel Pipelines

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Introduction to BeamformerInteracting with Distributed Arrays3 Introduction to Beamformer

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N b point sources Each source can emit waves of N f different frequencies Wave emitting pattern are recorded at time t 1, …, t Nt Introduction to BeamformerInteracting with Distributed Arrays4 t1t1 f 1, …, f Nf t2t2 t Nt f 1, …, f Nf Source 1 Source 2 Source Nb f 1, …, f Nf NtNt NbNb NfNf

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Introduction to Beamformer There is a linear array of N s sensors to detect the wave emitting pattern Introduction to BeamformerInteracting with Distributed Arrays5 Source 1 Source 2 Source Nb Sensor 1 Sensor Ns Noise Steering Vector

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Algorithm of BeamformerInteracting with Distributed Arrays6 Algorithm of Beamformer

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Serial: Algorithm of BeamformerInteracting with Distributed Arrays7

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Algorithm of Beamformer Parallel: Algorithm of BeamformerInteracting with Distributed Arrays8

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Algorithm of Beamformer Interacting with Distributed Arrays9

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Algorithm of Beamformer Interacting with Distributed Arrays10

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Code of BeamformerInteracting with Distributed Arrays11 Code of Beamformer

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Code of Beamformer (1/3) Code of BeamformerInteracting with Distributed Arrays12

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Code of Beamformer (2/3) Code of BeamformerInteracting with Distributed Arrays13

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Code of Beamformer (3/3) Code of BeamformerInteracting with Distributed Arrays14

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How to DebugInteracting with Distributed Arrays15 How to Debug

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Step 1: run the program in serial on the local machine with the distributed arrays turned off Step 2: run the program in serial on the local machine with the distributed arrays turned on Step 3: run the program in parallel on the local machine Step 4: run the program in parallel on the remote machine Step 5: run the program in parallel on the remote machine but with a problem size of interest How to DebugInteracting with Distributed Arrays16 How to Debug

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Interacting with Distributed Arrays17 Step 1: run the program in serial on the local machine with the distributed arrays turned off Set PARALLEL=0 Add the following line to the end of the m-file: whos X0 X1 X2 X3 X0loc X1loc X2loc x3 myI_f myV Type pBeamformer at the MATLAB prompt This ensure the basic serial code is correct

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How to DebugInteracting with Distributed Arrays18 How to Debug

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Debug Step 2: run the program in serial on the local machine with the distributed arrays turned on Set PARALLEL=1 Type eval(pRUN(‘pBeamformer’,1,{})) at the MATLAB prompt This ensure the parallel code is correct How to DebugInteracting with Distributed Arrays19

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How to Debug Interacting with Distributed Arrays20

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How to Debug Step 3: run the program in parallel on the local machine Type eval(pRUN(‘pBeamformer’,4,{})) at the MATLAB prompt Type !type MatMPI\*.out or !more MatMPI/*.out to show the output from the other MATLABs This will detect errors introduced by communications How to DebugInteracting with Distributed Arrays21

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How to DebugInteracting with Distributed Arrays22 How to Debug

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Step 4: run the program in parallel on the remote machine Type eval(pRUN(‘pBeamformer’,4,{‘machine1’ ‘machine2’})) at the MATLAB prompt This will detect errors introduced by remote communications Step 5: run the program in parallel on the remote machine but with a problem size of interest How to DebugInteracting with Distributed Arrays23 How to Debug

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PerformanceInteracting with Distributed Arrays24 Performance

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Interacting with Distributed Arrays25 Performance in the book Performance of the machine Cambridge in City Cluster

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Performance The loops of Stage 1 and 2 can be combined into one loop PerformanceInteracting with Distributed Arrays26

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Introduction to Parallel PipelinesInteracting with Distributed Arrays27 Introduction to Parallel Pipelines

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Interacting with Distributed Arrays28

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Introduction to Parallel Pipelines Interacting with Distributed Arrays29 Stage iStage i+1 Original method

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Parallel Piplines Introduction to Parallel Pipelines Interacting with Distributed Arrays30 Stage iStage i+1

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Reference Interacting with Distributed Arrays31 “Parallel MATLAB for Multicore and Multinode Systems” by Jeremy Kepner, SIAM Press, 2009 Thanks for your attention!

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