2021 Final Exam

The Australian National University
Final Examination – June 2021

Comp2300 & Comp6300
Computer Organisation & Program Execution

Study period: 15 minutes
Time allowed: 3 hours (after study period)
Total marks: 100
Permitted materials: None

Questions are not equally weighted – sizes of answer boxes do not nec-
essarily relate to the number of marks given for this question.

All your answers must be written in the boxes provided in this exam form. You can use scrap paper or other
documents for working, but only those answers written into the answer boxes of this form will be marked. Do
not upload your exam anywhere but the prescribed exam submission system. There is additional space at the end
of the booklet in case the answer boxes provided are insufficient. Label any answer you write at the end of the
exam form with the number of the question it refers to and note at the question itself, that you provided addition
material at the end.

Greater marks will be awarded for answers that are simple, short and concrete than for answers of a sketchy and
rambling nature. Marks will be lost for giving information that is irrelevant to a question. Unstructured or not
indented code will not be marked.

Student number:

The following are for use by the examiners

Q1 mark Q2 mark Q3 mark Q4 mark Q5 mark Q6 mark

Total mark

Comp2300 & Comp6300 Final Exam 2021 Page 2 of 16

1. [8 marks] Logic & Instructions

(a) [4 marks] Your ARM CPU produces four main flag outputs for specific instructions:

N – Negative
V – Overflow

Provide the smallest number of ARM instruction which will set each of these flags indi-
vidually while clearing all other flags. So you should produce the flag sequence:

N – Negative Z – Zero C – Carry V – Overflow

To make your life easier, assume that the following instructions were executed right
before your instructions. Hint: the overflow flag is the tricky one, which requires a
minimum of two ARM instructions.

movs r0, #0x00000001
movs r1, #0xFFFFFFFF
movs r2, #0x7FFFFFFF
movs r3, #0x80000000

(b) [4 marks] Explain why your ARM CPU does not provide an arithmetic-shift-left in-
struction.

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2. [24 marks] Functions

(a) [24 marks] Write a function in ARM assembly code, which doubles the individual
values in a given array, which holds (word-sized) natural numbers. Your function will
need to be able to handle different sized arrays. Four different versions of this function
are required. The higher level language fragments below are for illustration only, as
you can answer this question without being able to read any of those.

(i) [6 marks] Write an iterative version of this function which doubles the values inside
the original array. This version of the function is side-effecting, but does not have any
direct return value (hence it is called a procedure or void function). Your code will re-
semble the output of a compiler for any of the following higher languages fragments:

Algol-style:

type Naturals is array (Positive range <>) of Natural;

procedure Double_In_Place (Numbers : access Naturals) is

for E of Numbers.all loop
E := 2 * E;
end Double_In_Place;

void double_in_place (unsigned int array [], unsigned int length) {

unsigned int i;

for (i = 0; i + 1 <= length; i++) { array [i] = 2 * array [i]; Comp2300 & Comp6300 Final Exam 2021 Page 4 of 16 (ii) [6 marks] Write an iterative version of this function which has no side-effects, thus returns a new array where each element is double the value of the correspond- ing element in the original array. Your code will resemble the output of a compiler for the following higher language fragment (note that neither this, nor any of the follow- ing versions can be expressed in C-style languages, unless heap memory allocation is available): Algol-style: type Naturals is array (Positive range <>) of Natural;

function Double_Iterative (Numbers : Naturals) return Naturals is

Doubled_Numbers : Naturals (Numbers’Range);

for I in Numbers’Range loop
Doubled_Numbers (I) := 2 * Numbers (I);
return Doubled_Numbers;
end Double_Iterative;

Comp2300 & Comp6300 Final Exam 2021 Page 5 of 16

(iii) [6 marks] Write a recursive version of this function, which also has no side effects.
Your code will resemble the output of a compiler for any of the following higher lan-
guages fragments. Warning: this is a hard question.

Algol-style:

type Naturals is array (Positive range <>) of Natural;

function Double_Recursive (Numbers : Naturals) return Naturals is

(if Numbers’Length = 0
then Numbers
else 2 * Numbers (Numbers’First)
& Double_Recursive (Numbers (Numbers’First + 1 .. Numbers’Last)));

Functional-style:

double_recursive :: (Num a) => [a] -> [a]

double_recursive list = case list of
[] -> []
x: xs -> 2 * x : double_recursive xs

Comp2300 & Comp6300 Final Exam 2021 Page 6 of 16

(iv) [6 marks] Write a more flexible version of this function, which can be used to ap-
ply any operation on the individual array elements. This version is also to be without
side-effects, but you can chose an iterative or recursive form. Your code will resemble
the output of a compiler for any of the following higher languages fragments:

Algol-style:

type Naturals is array (Positive range <>) of Natural;

function Map_Iterative (Numbers : Naturals;
Operation : access function (X : Natural) return Natural) return Naturals is

Doubled_Numbers : Naturals (Numbers’Range);

for I in Numbers’Range loop
Doubled_Numbers (I) := Operation (Numbers (I));
return Doubled_Numbers;
end Map_Iterative;

Functional-style:

map_recursive :: (a -> b) -> [a] -> [b]

map_recursive op list = case list of
[] -> []
x: xs -> op x: map_recursive op xs

Comp2300 & Comp6300 Final Exam 2021 Page 7 of 16

3. [15 marks] Decompile & Optimize

(a) [5 marks] Write a program in any programming language of your choice which might
have compiled down to the below ARM assembly code.

stmdb sp!, {fp, lr}
add fp, sp, #4
sub sp, #4
str r0, [fp, #-8]
cbz r0, end_func
sub r0, #1
bl func
ldr r1, [fp, #-8]
add r0, r1
add sp, #4
ldmia sp!, {fp, lr}
bx lr

(b) [10 marks] Optimize the above ARM code as much as you can for performance, while
keeping the exact same response to “bl func” (everything else can change).

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4. [17 marks] Writing programs

(a) [5 marks] Your embedded device has been equipped with a key device, which provides
secret key data via a single address in memory (ADR_KEY). You can load this address in
the usual way into a register:

ldr r0, =ADR_KEY

On reading data from this address, you will be provided with unique key data. The
next time you will be reading from this address, new key data will be provided. Simi-
larly your device has also been equipped with a laser sensor which will provide fresh
readings every time you read data from memory address ADR_LASER.

Your mission is top secret and the raw data from this laser cannot fall into the wrong
hands. Consequently you will need to encrypt the raw data, before you can store it
into local memory. Do this by a bit-wise ex-or operation between the key data and
the raw laser data. The key data will disappear from your device upon usage (the only
other, known copy of the key data rests inside the ruler-of-the-universe’s toaster).
The key data as well as the raw laser data is sensitive and should only be held inside
your device for processing for the shortest time possible and should never be stored in
memory. Store the encrypted laser data at the address which is stored at the address
ADR_SECRET_ADR. You will need to increment this address, after each usage, so that
all data can be recorded (don’t worry about memory overflows).

Write an ARM assembly function Laser_Handler which can be used as an interrupt
handler responding to the laser indicating that new data is available. Do not worry
about how to connect the interrupt handler to the specific interrupt: this has already
been done for you.

Comp2300 & Comp6300 Final Exam 2021 Page 9 of 16

(b) [12 marks] Write an ARM assembly function, which returns the maximum value of an
unknown-sized array of integer numbers, which it takes as a parameter. If the array is
empty your function should return 231- .

(i) [6 marks] Write a recursive version. Which parameter modes did you chose?

(ii) [6 marks] Write an iterative version. Which parameter modes did you chose?

Comp2300 & Comp6300 Final Exam 2021 Page 10 of 16

5. [20 marks] Asynchronous Programming

(a) [10 marks] Implement the following concurrent code in ARM assembly, such that the
final value of Counter will be 0, after both tasks completed. For performance reasons,
keep the durations of synchronised code sections to a minimum.

The following Algol-style pseudo code (as used in lectures) shows: one task incre-
ments a global Counter variable by 100, while another task decrements the same global
Counter variable 10-times by 10:

Counter : Integer := 0;

task Up is

Counter := Counter + 100;

task Down is

for I in 1 .. 10 loop
Counter := Counter – 10;

Assume the following global memory declaration:

.word 0x00000000

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(b) [5 marks] Can you use a semaphore-wait operation inside of an interrupt handler?
What would be the possible uses, or dangers? Will your answer be different for a
single-core and a multi-core CPU? Explain as precisely as you can.

(c) [5 marks] In a press release on an unnamed manufacturer, it was revealed that a mal-
function of a fast moving device was caused by a stack-overflow by interrupts. Could
this be true? What would you recommend for this manufacturer to introduce in their
design processes? Explain as precisely as you can.

Comp2300 & Comp6300 Final Exam 2021 Page 12 of 16

6. [16 marks] Operating Systems, Networks & Architectures

(a) [3 marks] What are the minimal hardware requirements which enable you to write a
multi-tasking operating system with a round robin scheduler? Give precise reasons for
your answers.

(b) [3 marks] In a computer network, how can you send user data to devices which are not
directly connected to your sending device? Which administrative data (in terms of OSI
layers) will need to be looked at along the way, before your user data reaches the target
device. Give precise reasons for your answers.

Comp2300 & Comp6300 Final Exam 2021 Page 13 of 16

(c) [4 marks] The following function is an attempt of one of your fellow students to write
a fast sum-function (adding up all values inside of an array). You are however more
educated than your fellow student and know about pipeline hazards. Optimize the
program below such that pipeline hazards are avoided and the performance will in-
crease (obviously without losing the logical correctness). Re-write the function inside
the answer box and note for each of your changes which pipeline hazard you address.

@ r0: Address of array
@ r1: Size of array
@ return the sum of values in r0

mov r2, r0
add r3, r2, r1, lsl #2
mov r0, #0
Fast_Sum_Loop:
ldr r1, [r2], #4
add r0, r1
cmp r2, r3
blt Fast_Sum_Loop

Comp2300 & Comp6300 Final Exam 2021 Page 14 of 16

(d) [6 marks] If you consider the following code fragment, which hardware support would
you suggest to run this program correctly and at high performance. Relate each sug-
gested hardware architecture to a concrete aspect of the code.

The code defines a global data array with 10,000 floating point values (all initialized to
1.0), as well as 100 tasks which each double all elements in this array.

Data : array (1 .. 10_000) of Float := (1 .. 10_000 => 1.0);

task type Worker;
task body Worker is

for I in Data’Range loop
Data (I) := 2.0 * Data (I);
end Worker;

Workers : array (1 .. 100) of Worker;

continuation of answer to question part

continuation of answer to question part

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continuation of answer to question part

continuation of answer to question part

Comp2300 & Comp6300 Final Exam 2021 Page 16 of 16

Student number:
Total mark:
struction:
undefined:
end DoubleIterative:
x xs 2 x doublerecursive xs:
x xs op x maprecursive op xs:
keeping the exact same response to bl func everything else can change:
Comp2300 Comp6300:
i 6 marks Write a recursive version Which parameter modes did you chose:
ii 6 marks Write an iterative version Which parameter modes did you chose:
singlecore and a multicore CPU Explain as precisely as you can:
design processes Explain as precisely as you can:
your answers:
device Give precise reasons for your answers:
Workers array 1 100 of Worker:
continuation of answer to question part:
continuation of answer to question:
continuation of answer to question part_2:
continuation of answer to question_2:
continuation of answer to question part_3:
continuation of answer to question_3:
continuation of answer to question part_4:
continuation of answer to question_4: