parallel processing comparative study 1. context how to finish a work in short time???? solution to...

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PARALLEL PROCESSING COMPARATIVE STUDY

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CONTEXT

How to finish a work in short time????

Solution

To use quicker worker.

Inconvenient:

The speed of worker has a limit

Inadequate for long works

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CONTEXT

How to finish a calculation in short time????

Solution

To use quicker calculator (processor).[1960-2000]

Inconvenient:

The speed of processor has reach a limit

Inadequate for long calculations

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CONTEXT


Solution

1. To use quicker worker. (Inadequate for long works)

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CONTEXT


Solution

1. To use quicker worker. (Inadequate for long works)

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CONTEXT


Solution

1. To use quicker worker. (Inadequate for long works)2. To use more than one worker concurrently

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CONTEXT

How to finish a Calculation in short time????

Solution

1. To use quicker processor (Inadequate for long

calculations)

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CONTEXT


Solution

1. To use quicker processor (Inadequate for long

calculations)

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CONTEXT


Solution

1. To use quicker processor (Inadequate for long calculations)

2. To use more than one processor concurrently

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CONTEXT


Solution

1. To use quicker processor (Inadequate for long calculations)

2. To use more than one processor concurrently

Parallelism

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CONTEXT

Definition

The parallelism is the concurrent use of more than one processing unit (CPUs, Cores of processor, GPUs, or

combinations of them) in order to carry out calculations more quickly

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PROJECT GOAL

Parallelism needs

1. Parallel Computer (more than one processors)

2. Accommodate Calculation to Parallel Computer

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THE GOAL

Parallelism needs



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THE GOAL

Parallel Computer

Several parallel computers in the hardware market

Differ in their architecture

Several Classifications

Based on the Instruction and Data Streams (Flynn classification)

Based on the Memory Charring Degree ….

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THE GOAL

Flynn ClassificationA. Single Instruction and Single Data stream

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THE GOAL

Flynn ClassificationB. Single Instruction and Multiple Data

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THE GOAL

Flynn ClassificationC. Multiple Instruction and Single Data stream

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THE GOAL

Flynn ClassificationD. Multiple Instruction and Multiple Data stream

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THE GOAL

Memory Sharing Degree Classification

A . Shared Memory B. Distributed memory

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THE GOAL

Memory Sharing Degree Classification

C. Hybrid Distributed-Shared Memory

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THE GOAL

Parallelism needs



Dividing the calculation and data between the processors

Defining the execution scenario (how the processor cooperates)

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THE GOAL

Parallelism needs




Defining the execution scenario (how the processor cooperates)

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THE GOAL

Parallelism needs




Defining the execution scenario (how the processors cooperate)

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THE GOAL

The accommodation of calculation to parallel computer

Is called parallel processing

Depend closely on the architecture

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THE GOAL

Goal : A comparative study between

1. Shared Memory Parallel Processing approach

2. Distributed Memory Parallel Processing approach

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PLAN

1. Distributed Memory Parallel Processing approach

2. Shared Memory Parallel Processing approach

3. Case study problems

4. Comparison results and discussion

5. Conclusion

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DISTRIBUTED MEMORY PARALLEL PROCESSING APPROACH

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Distributed-Memory Computers (DMC)

= Distributed Memory System (DMS)

=

Massively Parallel Processor (MPP)

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• Distributed-memory computers architecture

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• Architecture of nodes

Nodes can be :

identical processors Pure DMC

different types of processor Hybrid DMC

different type of nodes with different Architectures Heterogeneous DMC

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• Architecture of Interconnection NetworkNo shared memory space between nodes

Network is the only way of node-communications

Network performance influence directly the performance of parallel program on DMC

Network performance depends on :

1. Topology

2. Physical connectors (as wires…)

3. Routing Technique

The DMC evolutions closely depends on the Networking evolutions

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The Used DMC in our Comparative Study

• Heterogeneous DMC

• Modest cluster of workstations

• Three nodes:

• Sony Laptop: i3 processor

• HP Laptop: i3 processor

• HP Laptop core 2 due processor

• Communication Network: 100 MByte-Ethernet

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Parallel Software Development for DMC

Designer main tasks:

1. Global Calculation decomposition and tasks assignment

2. Data decomposition

3. Communications scheme Definition

4. Synchronization Study

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Parallel Software Development for DMC

Important considerations for efficiency:

1. Minimize Communication

2. Avoid barrier synchronization

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Implementation environments

Several implementation environmentsPVM (Parallel Virtual Machine)

MPI (Message Passing Interface)


MPI Application Anatomy

All the node execute the same code

All the nodes does not do the same work

It’s possible using SPMD application form

SPMD :....

The processes are organized in one controller and workers

Contradiction

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SHARED MEMORY PARALLEL PROCESSING APPROACH

Several SMPC in the Markets

Multi-core PC: Intel i3 i5 i7 ,AMD

Which SMPC we use ?

- GPU originally for image processing

- GPU NOW : Domestic Super-Computer

Characteristics:

• Chipset and fastest Shared Memory Parallel computer

• Hard Parallel Design

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The GPU Architecture

The implementation environment

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GPU Architecture

As the classical processing unit, the Graphics Processing Unit is composed from two main components:

A- Calculation Units B- Storage Unit

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SHARED MEMORY PARALLEL PROCESSING APPROACHSHARED MEMORY PARALLEL PROCESSING APPROACH

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SHARED MEMORY PARALLEL PROCESSING

The GPU Architecture

The implementation environment 1. CUDA : for GPUS manufactured by NVIDIA

2. OpenCL: independent of the GPU architecture

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CUDA Program Anatomy

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Q: How to execute code fragments to be parallelized in the GPU?

R: By Calling a kernel

Q: What’s Kernel ?

R: A kernel is a function callable from the host and executed on the device simultaneously by many threads in parallel

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KERNEL LAUNCH


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KERNEL LAUNCH


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KERNEL LAUNCH


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Design recommendations

utilize the shared memory to reduce the amount of time to

access the global memory.

reduce the amount of idle threads ( control divergence) to fully

utilize the GPU resource.

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CASE STUDY PROBLEM

Square Matrix multiplication problem

• ALGORITHM: ()

// Input: Two matrices and

// Output: Matrix

for to do

for to do

for to do

return

• Complexity:

If we use big notation the

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CASE STUDY PROBLEMPi approximation

• ALGORITHM: PiApprox ()

// Input: number of Bins

// Output: approximation

for to do

return

• Complexity:

If we use big notation the.

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COMPARSION

• Comparisons Creteria

• Analysis and conclusion

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COMPARISONCriteria 1: Time-Cost factor

𝑇𝐶𝐹 = ∗ 𝑃𝐸𝑇 𝐻𝐶𝑃𝐸𝑇: Parallel Execution Time (in Milliseconds)𝐻𝐶: The Hardware Cost (in Saudi Arabia Riyals)

The Hardware costs( )𝐻𝐶GPU : 5000 SAR𝐻𝐶Cluster of workstation : 9630 SAR. 𝐻𝐶

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COMPARISON

0 500 1000 1500 20000

5000000000

10000000000

15000000000

20000000000

25000000000

30000000000

35000000000

40000000000

45000000000

50000000000

Time Cost-Factor from the matrix multiplication prob-lem

GPU

cluster

matrix size

TCF

0 2000 4000 6000 8000 10000 12000 140000

2000

4000

6000

8000

10000

12000

14000

16000Time Cost-Factor from the PI approximation problem

GPU

cluster

bins number

TCF

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COMPARISON

Conclusion:

GPU is better if we need to perform a lot of number of small

amount of iterations calculation.

However if our need is to perform a calculation with big

amount of iterations, the cluster of workstations is the best

choice.

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COMPARISONCriteria 2: required Memory

Matrix multiplication problem

Graphics Processing UnitThe Global-Memory-based-method requirement:

ℎ 𝑇 𝑒 𝑇𝑜𝑡𝑎𝑙 𝑅𝑒𝑞𝑢𝑖𝑟𝑒𝑑 𝑀𝑒𝑚𝑜𝑟𝑦=6∗ ∗ ∗ 𝑛 𝑛 𝑠𝑖𝑧𝑒𝑜𝑓 𝑓𝑙𝑜𝑎𝑡The Shared-Memory-based-method requirement:

ℎ 𝑇 𝑒 𝑇𝑜𝑡𝑎𝑙 𝑅𝑒𝑞𝑢𝑖𝑟𝑒𝑑 𝑀𝑒𝑚𝑜𝑟𝑦=8∗ ∗ ∗ 𝑛 𝑛 𝑠𝑖𝑧𝑒𝑜𝑓 𝑓𝑙𝑜𝑎𝑡Cluster of workstations

The used cluster contains three nodes

ℎ 𝑇 𝑒 𝑇𝑜𝑡𝑎𝑙 𝑅𝑒𝑞𝑢𝑖𝑟𝑒𝑑 𝑀𝑒𝑚𝑜𝑟𝑦=19/3∗ ∗ ∗ 𝑛 𝑛 𝑠𝑖𝑧𝑒𝑜𝑓 𝑓𝑙𝑜𝑎𝑡

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COMPARISONCriteria 2: required Memory

Pi approximation problem

• Graphics Processing Unit The size of these arrays depends on the number of used thread

The required memory = ∗ ∗ 𝟐 𝒏𝒖𝒎𝒃𝒆𝒓 𝒐𝒇 𝒕𝒉𝒓𝒆𝒂𝒅𝒔 𝒔𝒊𝒛𝒆𝒐𝒇 𝒅𝒐𝒖𝒃𝒍𝒆• Cluster of workstations

Small amount of memory used on each node almost 15 ∗ 𝑠𝑖𝑧𝑒𝑜𝑓𝑑𝑜𝑢𝑏𝑙𝑒

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COMPARISON

Criteria 2: required Memory

Conclusion:

We cannot judge which parallel approach is the better for the required memory criteria. This criteria depends on the intrinsic characteristics of the on-hand problem.

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COMPARISON

Criteria 3 : The Gap between the Theoretical Complexity and Effective Complexity

• The Gap between the Theoretical Complexity and Effective Complexity-calculated by:

𝐺𝑎𝑝=(( / )−1)×100𝐸𝑃𝑇 𝑇𝑃𝑇𝐸𝑃𝑇: Experimental Parallel Time𝑇𝑃𝑇: Theoretical Parallel Time

𝑇𝑃𝑇 = /𝑆𝑇 𝑁𝑆𝑇: Sequential Time.𝑁: Number of processing unit.

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CLUSTER OF WORKSTATIONS

0 200 400 600 800 1000 1200 1400 1600 1800 20000

10000

20000

30000

40000

50000

60000

The Gap between the Theoretical complexity and E ective Complexity fffor Matrix multiplication problem - cluster of workstations

Matrix size

Gap

0 2000 4000 6000 8000 10000 120000

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

The Gap between the Theoretical complexity and Effective Complexity for Pi approximation problem-

cluster of workstaion

Bin

Gap

COMPARISONCriteria 3 : The Gap between the Theoretical Complexity and Effective Complexity

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GRAPHICS PROCESSING UNIT

0 200 400 600 800 1000 1200 1400 1600 1800 2000

-60000

-50000

-40000

-30000

-20000

-10000

0

The Gap between the Theoretical complexity and Effective Complexity for Matrix multiplication prob-

lem- GPU.

Matrix size

Gap

0 2000 4000 6000 8000 10000 12000

-0.4

-0.35

-0.3

-0.25

-0.2

-0.15

-0.1

-0.05

0

0.05

The Gap between the Theoretical complexity and Effective Complexity for Pi approximation problem -

GPU

Bin

Gap

COMPARISONCriteria 3 : The Gap between the Theoretical Complexity and Effective Complexity

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COMPARISON

Conclusion

In the GPU, the resulting execution time of parallel program can give less time than the theoretical expected time . That is impossible to achieve when using a Cluster of workstation because of the communication overhead.

To minimize the Gap, or take it constant, in the cluster of workstations, the designer has to maintain constant, as possible, number and sizes of communicated messages when increasing the problem size.

Criteria 3 : The Gap between the Theoretical Complexity and Effective Complexity

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COMPARISON

Criteria 4: Efficiency

: Sequential Time.

: Parallel Time.

: Number processing unit

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CRITERIA 4: EFFICIENCY

0 200 400 600 800 1000 1200 1400 1600 1800 20000123456789

10111213141516

Matrix multiplication problem

cluster

GPU

matrix size

efficie

ncy

0 2000 4000 6000 8000 10000 120000

0.5

1

1.5

2

2.5

3

3.5

4

4.5

Pi approximation

Cluster

GPU

Bins number

efficie

ncy

COMPARISON

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COMPARISON

Criteria 4: Efficiency

• Conclusion: The efficiency (speedup) is much better in the GPU than in the cluster of workstations.

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IMPORTANT NOTIFICATION

one process (CPU) one thread (GPU)0

20000

40000

60000

80000

100000

120000

140000

160000

matrix sequential solution

(32*32) (128*128) (512*512) (1000*1000) (1805*1805)

ms

one process CPU one thread GPU0

2

4

6

8

10

12

14

PI sequential solution

100 1000 10000

ms

COMPARISON

IMPORTANT NOTIFICATION

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COMPARISON

• Criteria 5: Hardness of development

• Cuda

• MPI

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COMPARISON

• Criteria 6: necessary hardware and software materials

• GPU (Nvidia gt 525m )

• Cluster of workstation( 3 pc, switch, internet modem and wires)

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CONCLUSION

Parallel Processing Comparative Study

Shared Memory Parallel Processing Approach Distributed Memory Parallel Processing Approach

Graphics Processing Unit (GPU) Cluster Of work-station

GPU and Cluster are the main two components of the Fastest Word Computers (As Shahin)

To compare we use : Two different problems (Matrix-Multiplication and Pi Approximation) Six Measure’s Criteria

More Adequate for Data-Level Parallelism Form More Adequate for Task –Level Parallelism Form

Big number of small calculation A Big calculation

Memory requirement ̴ Problem Characteristics Memory requirement ̴ Problem Characteristics

Better than the expected Run Time Impossible Null or Negative GAP

Complicate Design and programming Less complicated

Implementation environment very practical Complicated

parallel processing comparative study 1. context how to finish a work in short time???? solution to...

Documents

goal parallel computer

quicker processor inadequate

short time

goal flynn classification

long calculations

quicker worker

concurrent use

quicker calculator processor