1. Department of Collegiate and Technical Education
Theory of Parallelism (Module 1 – Session1)
Course Outcome : Explain the concepts of parallel computing and
hardware technologies
Advanced Computer Architecture (VII Semester)
Computer Science and Engineering
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2. 1. Parallel Computer Models
1.1 The State of Computing
1.1.1 Computer Development Milestones
1.1.2 Elements of Modern Computers
1.1.3 Evolution of Computer Architecture
1.2 Multiprocessors and Multicomputers
1.2.1 Shared-Memory Multiprocessors
1.2.2 Distributed-Memory Multicomputers
1.2.3 A Taxonomy of MIMD Computers
1.3 Multivector and SIMD Computer
1.3.1 Vector Supercomputers
1.3.2 SIMD Supercomputers
1.4 PRAM and VLSI Models
1.4.1 Parallel Random-Access Machines
1.4.2 VLSI Complexity Model
Table of Contents
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3. 1. Parallel Computer Models
• Parallel Computer Models have transferred the world we live in.
• The key enabling technology in modern computers is Parallel
processing.
• Demand for higher performance, lower costs, and sustained
productivity in real-life applications.
• Forms of Parallelism-
– Lookahead, pipelining, vectorization,concurrency,
simultaneity, data parallelism, partitioning, interleaving,
overlapping, multiplicity, replication, time sharing,space
sharing,multitasking, multiprogramming, multithreading, and
distributed computing.
• Physical architectures and theoretical machine models are
discussed here.
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4. 1.1 The State of Computing
• Early computing was entirely mechanical:
– abacus (about 500 BC)
– mechanical adder/subtracter (Pascal, 1642)
– difference engine design (Babbage, 1827)
– binary mechanical computer (Zuse, 1941)
– electromechanical decimal machine (Aiken, 1944)
• Mechanical and electromechanical machines have limited speed and
reliability because of the many moving parts. Modern machines use
electronics for most information transmission.
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5. 1.1.1 Computer Development Milestones
• Computing is normally thought of as being divided into
generations.
• Each successive generation is marked by sharp changes in
hardware and software technologies.
• With some exceptions, most of the advances introduced in
one generation are carried through to later generations.
• We are currently in the fifth generation.
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6. First Generation (1945 to 1954)
• Technology and Architecture
– Vacuum tubes and relay memories
– CPU driven by a program counter (PC) and accumulator
– Machines had only fixed-point arithmetic
• Software and Applications
– Machine and assembly language
– Single user at a time
– No subroutine linkage mechanisms
– Programmed I/O required continuous use of CPU
• Representative systems: ENIAC, Princeton IAS, IBM 701
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7. Second Generation (1955 to 1964)
• Technology and Architecture
– Discrete transistors and core memories
– I/O processors, multiplexed memory access
– Floating-point arithmetic available
– Register Transfer Language (RTL) developed
• Software and Applications
– High-level languages (HLL): FORTRAN, COBOL,
ALGOL with compilers and subroutine libraries
– Still mostly single user at a time, but in batch mode
• Representative systems: CDC 1604, UNIVAC LARC, IBM
7090
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8. Third Generation (1965 to 1974)
• Technology and Architecture
– Integrated circuits (SSI/MSI)
– Microprogramming
– Pipelining, cache memories, lookahead processing
• Software and Applications
– Multiprogramming and time-sharing operating systems
– Multi-user applications
• Representative systems: IBM 360/370, CDC 6600, TI ASC,
DEC PDP-8
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9. Fourth Generation (1975 to 1990)
• Technology and Architecture
– LSI/VLSI circuits, semiconductor memory
– Multiprocessors, vector supercomputers, multicomputers
– Shared or distributed memory
– Vector processors
• Software and Applications
– Multprocessor operating systems, languages, compilers,
and parallel software tools
• Representative systems: VAX 9000, Cray X-MP, IBM 3090,
BBN TC2000
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11. 1.1.2 Elements of Modern Computers
• The hardware, software, and programming elements of
modern computer systems can be characterized by looking at
a variety of factors, including:
– Computing problems
– Algorithms and data structures
– Hardware resources
– Operating systems
– System software support
– Compiler support
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12. Application Software
Operating System
Hardware
Architecture
Algorithms and
Data Structures
Computing
Problems
High-level
Languages
Performance
Evaluation
Mapping
Programming
Binding
(compile,load)
Fig 1.1 Elements of a modern computer system
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14. Algorithms and Data Structures
• Traditional algorithms and data structures are designed for
sequential machines.
• New, specialized algorithms and data structures are needed to
exploit the capabilities of parallel architectures.
• These often require interdisciplinary interactions among
theoreticians, experimentalists, and programmers.
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15. Hardware Resources
• The architecture of a system is shaped only partly by the
hardware resources.
• The operating system and applications also significantly
influence the overall architecture.
• Not only must the processor and memory architectures be
considered, but also the architecture of the device interfaces
(which often include their advanced processors).
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16. Operating System
• Operating systems manage the allocation and deallocation of
resources during user program execution.
• UNIX, Mach, and OSF/1 provide support for
– multiprocessors and multicomputers
– multithreaded kernel functions
– virtual memory management
– file subsystems
– network communication services
• An OS plays a significant role in mapping hardware resources
to algorithmic and data structures.
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17. System Software Support
• Compilers, assemblers, and loaders are traditional tools for
developing programs in high-level languages. With the
operating system, these tools determine the bind of resources
to applications, and the effectiveness of this determines the
efficiency of hardware utilization and the system’s
programmability.
• Most programmers still employ a sequential mind set, abetted
by a lack of popular parallel software support.
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18. System Software Support contd..
• Parallel software can be developed using entirely new
languages designed specifically with parallel support as its
goal, or by using extensions to existing sequential languages.
• New languages have obvious advantages (like new constructs
specifically for parallelism), but require additional
programmer education and system software.
• The most common approach is to extend an existing
language.
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19. Compiler Support
• Preprocessors
– use existing sequential compilers and specialized libraries
to implement parallel constructs
• Precompilers
– perform some program flow analysis, dependence
checking, and limited parallel optimzations
• Parallelizing Compilers
– requires full detection of parallelism in source code, and
transformation of sequential code into parallel constructs
• Compiler directives are often inserted into source code to aid
compiler parallelizing efforts
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20. 1.1.3 Evolution of Computer Architecture
• Architecture has gone through evolutional, rather than
revolutional change.
• Sustaining features are those that are proven to improve
performance.
• Starting with the von Neumann architecture (strictly
sequential), architectures have evolved to include processing
lookahead, parallelism, and pipelining.
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21. Scalar
Sequenti
al
Lookahead
I/E Overlap Functional
Parallelism
Multiple
Func. Units
Pipeline
Implicit Vector Explicit Vector
Memory-to-
memory
Register-
to-register
SIMD MIMD
Associative
Processor
Processor
Array
Multicomputer
Mutiprocessor
Architectural
Evolution
Fig 1.2 Tree showing architectural evolution from sequential scalar computers to vector processors and parallel computers
Legends:
I/E: Instruction Fetch and Execute.
SIMD: Single Instruction stream
and Multiple Data streams.
MIMD: Multiple Instruction
steams and Multiple Data
Streams.
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22. Flynn’s Classification (Introduced by Michael Flynn in
1972)
• Single instruction, single data stream (SISD)
– conventional sequential machines
• Single instruction, multiple data streams (SIMD)
– vector computers with scalar and vector hardware
• Multiple instructions, multiple data streams (MIMD)
– parallel computers
• Multiple instructions, single data stream (MISD)
– systolic arrays
• Among parallel machines, MIMD is most popular, followed
by SIMD, and finally MISD.
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23. Fig 1.3 (a) SISD uniprocessor architecture
Processing
element (PE)
Main memory
(M)
Instructions
Data
Control Unit PE Memory
PE
IS
IS DS
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25. SIMD Architectures
• Fine-grained
– Image processing application
– Large number of PEs
– Minimum complexity PEs
– Programming language is a simple extension of a
sequential language
• Coarse-grained
– Each PE is of higher complexity and it is usually built
with commercial devices
– Each PE has local memory
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28. Parallel/Vector Computers
• Intrinsic parallel computers execute in MIMD mode.
• Two classes:
– Shared-memory multiprocessors
– Message-passing multicomputers
• Processor communication
– Shared variables in a common memory (multiprocessor)
– Each node in a multicomputer has a processor and a
private local memory, and communicates with other
processors through message passing.
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29. Pipelined Vector Processors
• SIMD architecture
• A single instruction is applied to a vector (one-dimensional
array) of operands.
• Two families:
– Memory-to-memory: operands flow from memory to
vector pipelines and back to memory
– Register-to-register: vector registers used to interface
between memory and functional pipelines
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30. SIMD Computers
• Provide synchronized vector processing
• Utilize spatial parallelism instead of temporal parallelism
• Achieved through an array of processing elements (PEs)
• Can be implemented using associative memory.
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31. Development Layers (Ni, 1990)
• Hardware configurations differ from machine to machine (even
with the same Flynn classification)
• Address spaces of processors vary among different architectures,
and depend on memory organization, and should match target
application domain.
• The communication model and language environments should
ideally be machine-independent, to allow porting to many
computers with minimum conversion costs.
• Application developers prefer architectural transparency.
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33. 1.1.4 System Attributes to Performance
• Performance depends on
– hardware technology
– architectural features
– efficient resource management
– algorithm design
– data structures
– language efficiency
– programmer skill
– compiler technology
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34. Performance Indicators
• Turnaround time depends on:
– disk and memory accesses
– input and output
– compilation time
– operating system overhead
– CPU time
• Since I/O and system overhead frequently overlaps processing by
other programs, it is fair to consider only the CPU time used by a
program, and the user CPU time is the most important factor.
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35. Clock Rate and CPI
• CPU is driven by a clock with a constant cycle time (usually
measured in nanoseconds).
• The inverse of the cycle time is the clock rate (f = 1/,
measured in megahertz).
• The size of a program is determined by its instruction count,
Ic, the number of machine instructions to be executed by the
program.
• Different machine instructions require different numbers of
clock cycles to execute. CPI (cycles per instruction) is thus
an important parameter.
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36. Average CPI
• It is easy to determine the average number of cycles per
instruction for a particular processor if we know the
frequency of occurrence of each instruction type.
• Of course, any estimate is valid only for a specific set of
programs (which defines the instruction mix), and then only if
there are sufficiently large number of instructions.
• In general, the term CPI is used with respect to a particular
instruction set and a given program mix.
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37. Performance Factors (1)
• The time required to execute a program containing Ic
instructions is just T = Ic CPI .
• Each instruction must be fetched from memory, decoded,
then operands fetched from memory, the instruction executed,
and the results stored.
• The time required to access memory is called the memory
cycle time, which is usually k times the processor cycle time
. The value of k depends on the memory technology and the
processor-memory interconnection scheme.
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38. Performance Factors (2)
• The processor cycles required for each instruction (CPI) can
be attributed to
– cycles needed for instruction decode and execution (p),
and
– cycles needed for memory references (m k).
• The total time needed to execute a program can then be
rewritten as T = Ic (p + m k) .
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39. System Attributes
• The five performance factors (Ic , p, m, k, ) are influenced by
four system attributes:
– instruction-set architecture (affects Ic and p)
– compiler technology (affects Ic and p and m)
– CPU implementation and control (affects p )
– cache and memory hierarchy (affects memory access
latency, k )
• Total CPU time can be used as a basis in estimating the
execution rate of a processor.
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40. MIPS Rate
• If C is the total number of clock cycles needed to execute a
given program, then total CPU time can be estimated as T = C
= C / f.
• Other relationships are easily observed:
– CPI = C / Ic
– T =Ic CPI
– T =Ic CPI / f
• Processor speed is often measured in terms of millions of
instructions per second, frequently called the MIPS rate of
the processor.
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41. MIPS Rate
• The MIPS rate is directly proportional to the clock
rate and inversely proportion to the CPI.
• All four system attributes (instruction set,
compiler, processor, and memory technologies)
affect the MIPS rate, which varies also from
program to program.
10
10
10 6
6
C
I
f
CPI
f
T
I
rate
MIPS c
c
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42. Throughput Rate
• The number of programs a system can execute per unit time, Ws ,
in programs per second.
• CPU throughput, Wp, is defined as
CPI
I
f
W
c
p
• In a multiprogrammed system, the system throughput is often
less than the CPU throughput.
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43. Floating Point Operations per Second
• Abbreviated as flops.
• Used mostly in compute-intensive applications in science and
engineering.
• With prefix mega (106), giga(109),tera (1012) or peta (1015)
written as megaflops(mflops), gigaflops(gflops), teraflops or
petaflops.
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44. Example 1. VAX/780 and IBM RS/6000
• The instruction count on the RS/6000 is 1.5 times
that of the code on the VAX.
• Average CPI on the VAX is assumed to be 5.
• Average CPI on the RS/6000 is assumed to 1.39.
• VAX has typical CISC architecture.
• RS/6000 has typical RISC architecture.
Machine Clock Performance CPU Time
VAX 11/780 5 MHz 1 MIPS 12x seconds
IBM RS/6000 25 MHz 18 MIPS x seconds
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45. Programming Environments
• Programmability depends on the programming environment
provided to the users.
• Conventional computers are used in a sequential programming
environment with tools developed for a uniprocessor computer.
• Parallel computers need parallel tools that allow specification or
easy detection of parallelism and operating systems that can
perform parallel scheduling of concurrent events, shared
memory allocation, and shared peripheral and communication
links.
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46. Implicit Parallelism
• Use a conventional language (like C, Fortran, Lisp, or Pascal) to
write the program.
• Use a parallelizing compiler to translate the source code into
parallel code.
• The compiler must detect parallelism and assign target machine
resources.
• Success relies heavily on the quality of the compiler.
• Kuck (U. of Illinois) and Kennedy (Rice U.) used this approach.
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47. Explicit Parallelism
• Programmer write explicit parallel code using parallel dialects of
common languages.
• Compiler has reduced need to detect parallelism, but must still
preserve existing parallelism and assign target machine
resources.
• Seitz (Cal Tech) and Daly (MIT) used this approach.
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49. Needed Software Tools
• Parallel extensions of conventional high-level languages.
• Integrated environments to provide
– different levels of program abstraction
– validation, testing and debugging
– performance prediction and monitoring
– visualization support to aid program development,
performance measurement
– graphics display and animation of computational results
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