Arithmetic III CPSC 321 Andreas Klappenecker. Any Questions?
Computer Architecture CPSC 321 Andreas Klappenecker.
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Transcript of Computer Architecture CPSC 321 Andreas Klappenecker.
Computer ArchitectureCPSC 321
Andreas Klappenecker
Early History
One of the first calculation tools was the abacus, presumably invented sometime between 1000-500 B.C.
ENIAC
• All-electronic general purpose computer based on vacuum tubes
• Intended to calculate ballistic firing tables
• Designed by Presper Eckert and John Mauchly
• Designed and constructed during 1943-1946
• Programming by rewiring• 5000 additions per second, 357
multiplications per second, and 38 divisions per second
• Decimal, not binary!
(photo courtesy of the U.S. army)
Key Inventions
• 1948 Brattain, Shockley and Bardeen invent the transistor (and receive the Nobel price in 1956)
• 1952 The ferrite core memory is invented and replaces the vacuum tube memories.
• 1957 Jack Kilby and Robert Noyce invent the silicon wafer.
• 1961 Steven Hofstein develops the Field Effect Transistor that will be used in the MOS integrated circuits
Intel 4004
The first microprocessor, the Intel 4004 with 2300 transistors and 3mmx4mm size, was introduced in
1971.
Intel Pentium 4
The Pentium 4 was introduced in 2000. It had 42 million transistors and a 1,400-1,500MHz clock speed.
The die size was 224mm2
Some Observations
• The main conceptual ideas underlying the computer have not changed dramatically from Z3 or EDVAC to modern computers.
• The stored program concepts that was popularized by von Neumann is still is common to almost all the computers of our time.
• The technology underwent some dramatic changes that made the devices much more energy efficient and significantly smaller.
Computer Architecture
Some people define computer architecture as the combination of• the instruction set architecture
(what the executable can see of the hardware, the functional interface)
• and the machine organization(how the hardware implements the instruction set architecture)
What is Computer Architecture ?
I/O system
Instr. Set Proc.
Compiler
OperatingSystem
Applications
Digital Design
Circuit Design
Firmware
Many levels of abstraction
Datapath & Control
Layout
Instruction set architecture
Machine organization
How does the course fit into the curriculum?
ELEN 220 Intro to Digital Design
ELEN 248 Intro to DGTL Sym Design
CPSC 321 Computer Architecture
CPSC 483 Computer Sys
Design
CPSC 4xx Algorithmic Aspects of Quantum
Computing
In computer science, you can take up to 3 graduate courses and get credit for it! Do that if
you are bored!
What next?
• How does better technology help to improve performance?
• How can we quantify the gain?
• The MIPS architecture• MIPS instructions• First contact with assembly language
programming
Performance
• Response time: time between start and finish of the task (aka execution time)
• Throughput: total amount of work done in a given time
Question
• Suppose that we replace the processor in a computer by a faster model• Does this improve the response time? • How about the throughput?
Question
• Suppose we add an additional processor to a system that uses separate processors for separate tasks. • Does this improve the response time?• Does this improve the throughput?
Performance
Relative Performance
(Absolute) Performance
Amdahl’s Law
The execution time after making an improvement to the system is given by
Exec time after improvement = I/A + E
I = execution time affected by improvementA = amount of improvementE = execution time unaffected
Amdahl’s Law
Suppose that program runs 100 seconds on a machine and multiplication instructions take 80% of the total time. How much do I have to improve the speed of multiplication if I want my program to run 5 times faster?
20 seconds = 80 seconds/n + 20 seconds=> it is impossible!
MIPS Assembly Language
CPSC 321 Computer ArchitectureAndreas Klappenecker
MIPS Assembly Instructions
• add $t0, $t1, $t2 # $t0=$t1+$t2• sub $t0, $t1, $t2 # $t0=$t1-$t2
• lw $t1, a_addr # $t1=Mem[a_addr]• sw $s1, a_addr # Mem[a_addr]=$t1
Assembler directives
• .text assembly instructions follow
• .data data follows • .globl globally visible label
= symbolic address
Hello World!
.text # code section
.globl main
main: li $v0, 4 # system call for print string
la $a0, str # load address of string to print
syscall # print the string
li $v0, 10 # system call for exit
syscall # exit
.data
str: .asciiz “Hello world!\n” # NUL terminated string, as in C
Addressing modes
lw $s1, addr # load $s1 from addr
lw $s1, 8($s0) # $s1 = Mem[$s0+8]
register $s0 contains the base address
access the address ($s0)
possibly add an offset 8($s0)
Load and move instructions
la $a0, addr # load address addr into $a0
li $a0, 12 # load immediate $a0 = 12
lb $a0, c($s1) # load byte $a0 = Mem[$s1+c]
lh $a0, c($s1) # load half word
lw $a0, c($s1) # load word
move $s0, $s1 # $s0 = $s1
Control Structures
Assembly language has very few control structures:
Branch instructions if cond then goto label
Jump instructions goto label
We can build while loops, for loops, repeat-until loops,
if-then-else structures from these primitives
Branch instructions
beqz $s0, label if $s0==0 goto label
bnez $s0, label if $s0!=0 goto label
bge $s0, $s1, label if $s0>=$s1 goto label
ble $s0, $s1, label if $s0<=$s1 goto label
blt $s0, $s1, label if $s0<$s1 goto label
beq $s0, $s1, label if $s0==$s1 goto label
bgez $s0, $s1, label if $s0>=0 goto label
if-then-else structures
if ($t0==$t1) then /* blockA */ else /* blockB */
beq $t0, $t1, blockA
j blockB
blockA: … instructions of then block …
j exit
blockB: … instructions of else block …
exit: … subsequent instructions …
repeat-until loop
repeat … until $t0>$t1
loop: … instructions of loop …
ble $t0, $t1, loop # if $t0<=$t1 goto loop
Other loop structures are similar…
Exercise: Derive templates for various loop structures
System calls
• load argument registers• load call code• syscall
li $a0, 10 # load argument $a0=10li $v0, 1 # call code to print integersyscall # print $a0
SPIM system calls
procedure code $v0 argumentprint int 1 $a0 contains number
print float 2 $f12 contains number
print double 3 $f12 contains number
print string 4 $a0 address of string
SPIM system calls
procedure code $v0 result
read int 5 res returned in $v0
read float 6 res returned in $f0
read double
7 res returned in $f0
read string 8
Example programs
• Loop printing integers 1 to 10
• Increasing array elements by 5
1
2
3
for(i=0; i<len; i++) {
a[i] = a[i] + 5;
}
main: li $s0, 1 # $s0 = loop counter
li $s1, 10 # $s1 = upper bound of loop
loop: move $a0, $s0 # print loop counter $s0
li $v0, 1
syscall
li $v0, 4 # print “\n”
la $a0, linebrk # linebrk: .asciiz “\n”
syscall
addi $s0, $s0, 1 # increase counter by 1
ble $s0, $s1, loop # if ($s0<=$s1) goto loop
li $v0, 10 # exit
syscall
Print numbers 1 to 10
Increase array elements by 5
.text .globl main
main: la $t0, Aaddr # $t0 = pointer to array A
lw $t1, len # $t1 = length (of array A)
sll $t1, $t1, 2 # $t1 = 4*length
add $t1, $t1, $t0 # $t1 = address(A)+4*length
loop: lw $t2, 0($t0) # $t2 = A[i]
addi $t2, $t2, 5 # $t2 = $t2 + 5
sw $t2, 0($t0) # A[i] = $t2
addi $t0, $t0, 4 # i = i+1
bne $t0, $t1, loop # if $t0<$t1 goto loop
.data
Aaddr: .word 0,2,1,4,5 # array with 5 elements
len: .word 5
Increase array elements by 5
.text
.globl main
main: la $t0, Aaddr # $t0 = pointer to array A
lw $t1, len # $t1 = length (of array A)
sll $t1, $t1, 2 # $t1 = 4*length (byte addr.)
add $t1, $t1, $t0 # $t1 = beyond last elem. A
Increase array elements by 5
Loop: lw $t2, ($t0) # $t2 = A[i]
addi $t2, $t2, 5 # $t2 = $t2 + 5
sw $t2, ($t0) # A[i] = $t2
addi $t0, $t0, 4 # i = i+1
bne $t0, $t1, loop # if $t0<$t1 goto loop
li $v0, 10 # exit
syscall
Increase array elements by 5
.data
Aaddr: .word 0,2,1,4,5
len: .word 5
Idiosyncratic: Byte addressing => loop in steps of 4
Describe meaning of registers in your documentation!
Conclusion
• Read Chapter 2 in Patterson, Hennessy, 2nd edition
• Lab 0 requires you to become familiar with the lab environment
• Do some exercises on your own! • Read Appendix A in 2nd edition