COMP**30 Principles of Operating Systems
Programming Assignment Two
Due date: Nov. 19, 2023, at 23:59
Total 11 points
Programming Exercise – Accelerate LLM Inference via Multi-Threading
Objectives
1. An assessment task related to ILO 4 [Prac7cability] – “demonstrate knowledge in applying system
soAware and tools available in the modern opera7ng system for soAware development”.
2. A learning ac7vity related to ILO 2.
3. The goals of this programming exercise are:
§ to have direct prac7ce in designing and developing mul7threading programs;
§ to learn how to use POSIX pthreads (and semaphore) libraries to create, manage, and
coordinate mul7ple threads in a shared memory environment;
§ to design and implement synchroniza7on schemes for mul7threaded processes using
semaphores, or mutex locks and condi7on variables.
Tasks
Optimize the matrix-vector-multiplication algorithm of GPT by multi-threading. Similar to other
neural networks, GPT and its variations utilize matrix-vector-multiplication, or called fullyconnected/linear layer in DL, to apply the parameter learned, which takes >70% of the whole
calculation. Thus, to accelerate the GPT and get faster response, it’s critical to have faster matrixvector-multiplication, and multi-threading are usually considered powerful.
In this assignment, we will use an open-source variation of GPT, llama2 released by Meta, and we
provide a complete pure C implementation of its inference in seq.c as the baseline of your work,
along with model weights. You need to use pthread.h with either the semaphore or (mutex_lock
+ conditional variable) to implement a multi-threading version of matrix-vector-multiplication. This
multi-threading version will significantly accelerate the inference of Large Language Model.
Acknowledgement: This assignment is based on the open-source project llama2.c by Andrej
Karpathy, thanks open-source.
GPT-based Large Language Model
In high-level, GPT is a machine that could generate words one by one based on previous words (also
known as prompts), and Figure 1a illustrate the basic workflow of GPT on generating “How are you”:
Figure 1. GPT Insight. a) GPT generate text one by one, and each output is the input of next generation. b) GPT has four
major component: Tokenizer turns word (string) into vector, Softmax + Sample give next token, and each layer has
Attention and FFN (Feed-Forward Network), consisting of many Matrix-Vector-Multiplication
Figure 1b showcases the inference workflow of each word like “You” in “How are you”: First, words
are transformed into tokens using a tokenizer, which is essentially a (python) dictionary that assigns
a unique vector to each word. The embedding vectors go through multiple layers, each consisting of
three steps.
§ The first step is attention, where the model calculates attention scores based on the cosine
similarity between the current word's query embedding and the embeddings of previous words
(keys). The attention output is a weighted average of the value embeddings, and this process
involves learnable parameters in the form of Matrix-Vector-Multiplication (linear layer).
§ The second step is a feed-forward network (FFN) that adds more learnable parameters through
Matrix-Vector-Multiplication.
§ The third step is positional embedding, which takes into account the ordering of words in natural
language by adding positional information to the attention calculations.
After going through all the layers, the embeddings are classified to generate a specific word as the
output. This involves using a softmax function to convert the embeddings into a probability
distribution, and randomly samples a word from the distribution.
Understanding GPT is not required for this assignment. Just remember that LLM uses a lot of MatrixVector-Multiplication to apply learned parameters to make it powerful.
Task: Matrix-Vector-Multiplication
Figure 2. Matrix-Vector-Multiplication Algorithm.
As shown in the Figure 2, Matrix-Vector-Multiplication can be illustrated as two iterations:
For Each Row i
For Column j, accumulate Matrix[i][j] * Vector[j] to Out[i]
More specifically, a sample C implementation is shown below (also in seq.c):
void mat_vec_mul(float* out, float* vec, float* mat, int col, int row) {
for (int i = 0; i < row; i++) {
float val = 0.0f;
for (int j = 0; j < col; j++) {
val += mat[i * col + j] * vec[j]; // mat[i * col + j] := mat[i][j]
}
out[i] = val;
}
}
Your task in this assignment is to parallelize the outer iteration (at the 2nd line) by allocating rows to
threads. More specifically, in the case of a Matrix with rows and threads working on the
computation, if is divisible by , the k-th thread ( = 0, 1, … , − 1) will handle the rows from
! ×
& ' to !( + 1) ×
& − 1'. To illustrate, if we have a 6-row matrix with 2 threads, the 0th
thread will handle rows 0 to 2, while the 1st thread will handle rows 3 to 5. If is not divisible by ,
we can assign first − 1 threads ( = 0, 1, … , − 2) with -
& . rows, while the last thread handles
remaining rows. More explanation on such design can be found on Appendix a. Parallel Checking.
Moreover, in order to reduce overhead, you are required to create one set of threads and reuse
them for all mat_vec_mul() function calls, instead of creating threads for each
mat_vec_mul()function call. One popular way based on Synchronization is illustrated in Figure 3.
Figure 3. Reference Synchronization Workflow, consisting of 3 function: a) CREATE_MAT_VEC_MUL function: create n
threads, each threads fall asleep immediately; b) MAT_VEC_MUL function: assign new parameters, wake up threads to
work on parameters and wait until threads to finish to return; c) DESTROY_MAT_VEC_MUL function: wake up threads to
collect system usage and exit, wait until threads to exit and collect usage of threads.
More specifically, the synchronization workflow illustrated in Figure 3 consists of 3 functions and the
thread function:
1. create_mat_vec_mul(int thr_count): to be called at the beginning of program, shall:
a. Create n threads
b. Let threads identify themselves, i.e., each thread knows it is the i-th threads
c. Let the created threads fall asleep immediately
2. void mat_vec_mul(float* out, float* vec, float* mat, int col, int row):
API exposed to do Matrix-Vector-Multiplication, shall:
a. Assign new parameters (out, vec, mat, col, row) to threads
b. Wake up threads to do calculation
c. Main thread wait until all threads finished task, and then return
3. destroy_mat_vec_mul(): to be called at the end of program, shall:
a. Wake up threads to collect the system usage (of themselves) and terminates
b. Wait until all threads to exit and collect system usage of threads
c. Collect system usage of main thread, and display both usage of each thread and main thread
d. Clear all resources related with multi-threading, and return
4. void* thr_func(void* arg): Thread function to do Matrix-Vector-Multiplication, shall:
a. Fall asleep immediately after initialization
b. Can be woke up by main thread to work on assigned tasks
c. After finishing the task, inform main thread
d. Being able to collet the system usage (of itself) and terminate
More details and reasons behind the design can be found in Appendix b. Context Design.
Definitely there might have other synchronization workflow, and we are open to your ideas.
However, due to the large class size, we can only accept submissions following the design above.
Specifications
a. Preparing Environment
Download the start_code.zip from course’s Moodle – including sequential version seq.c, along
with utility functions in utilities.c and utilities.h. Compile the seq.c with gcc:
gcc -o seq seq.c utilities.c -O2 -lm
Please include utilities.c, use -lm flag to link math library and -O2 flag to apply level-2 optimization.
Please stick to -O2 and don’t use other optimization for fairness. You don’t need to understand and
are not allowed to modify utilities.c and utilities.h.
Download the model files. There are two files required, model.bin for model weight and
tokenizer.bin for tokenizer. Please use following instructions to download them:
wget -O model.bin
https://huggingface.co/huangs0/llama2.c/resolve/main/model.bin
wget -O tokenizer.bin
https://huggingface.co/huangs0/llama2.c/resolve/main/tokenizer.bin
Run the compiled program by giving an integer as the random seed for sampling.
./seq <seed>
Upon invocation, the program will configure the random seed and begin sentence generation
starting from a special <START> token. The program call transformer function to generate the
next token, and printf with fflush to print the generated word to shell immediately. A pair of
utility time measurement function time_in_ms will measure the time in millisecond accuracy:
long start = time_in_ms(); // measure time in ms accuracy
int next, token = 1, pos = 0; // token = 1 -> <START>
while (pos < config.seq_len) { // not exceed max length
next = transformer(token, pos, &config, &state, &weights); // generate next
printf("%s", vocab[next]); fflush(stdout); // force print
token = next; pos++; // record token and shift position
}
long end = time_in_ms(); // measure time in ms accuracy
This program will start generating tiny stories. Finally, when generation is finished, the length of the
generated text, total time, average speed, and system usage will be printed such as:
One day, a little girl named Lucy
......
Carrying a brightly stepped for one dog ladybuging once she had
length: 256, time: 4.400000 s, achieved tok/s: 58.181818
main thread - user: 4.3881 s, system: 0.0599 s
By fixing the same machine (workbench2) and the same random seed, generated text can be
exactly replicated. For example, the above sample is conducted on workbench2 with random seed
42. Moreover, achieved tok/s represents the average number of tokens generated within a
second, and we use it as the metric for speed measurement. Due to the fluctuating system load from
time to time, the speed of the generation will fluctuates around some level.
b. Implement the parallel Matrix-Vector-Multiplication by multi-threading
Open the llama2_[UID].c, rename [UID] with your UID, and implement the workflow
illustrated in Figure. 3 by completing the four functions and adding appropriate global variables. For
synchronization, please use either semaphore or (mutex locks and conditional variables). You can
only modify code between specified // YOUR CODE STARTS HERE at line 43 and // YOUR
CODE ENDS HERE at line 67 in llama2_[UID].c.
Here are some suggestions for the implementation:
1. How to assign new tasks and inform them to terminate? Noted that all threads can access global
variables so you can updates the global variables and wake them up.
2. Main thread shall wait for threads to work or terminates.
3. For collecting system usage, please consider getrusage.
Your implementation shall be able to be compiled by the following command:
gcc -o llama2_[UID] llama2_[UID].c utilities.c -O2 -pthread -lm
Then run the compiled program. Now it accepts two arguments seed and thr_count . Code
related to reading arguments has been provided in llama2_[UID].c. You can use thr_count
to specify the number of threads to use.
./llama2_[UID] <seed> <thr_count>
If your implementation is correct, under the same random seed, generated text shall be the same
as sequential version, but the generation will be faster. Moreover, you shall report the system
usage for each threads respectively. For example, this is the output of random seed 42 on
workbench2 with 4 threads:
One day, a little girl named Lucy
......
Carrying a brightly stepped for one dog ladybuging once she had
length: 256, time: 2.100000 s, achieved tok/s: 121.****62
Thread 0 has completed - user: 1.2769 s, system: 0.0363 s
Thread 1 has completed - user: 1.2658 s, system: 0.0361 s
Thread 2 has completed - user: 1.2749 s, system: 0.0277 s
Thread 3 has completed - user: 1.2663 s, system: 0.0**3 s
main thread - user: 5.7126 s, system: 0.**9 s
c. Measure the performance and report your finding
Benchmark your implementation (tok/s) on your own computer with different thread numbers and
report metrics like the following table:
Thread Numbers Speed (tok/s) User Time System Time Use Time/System Time
0 (Sequential)
1 (1 (child)Thread)
2
4
6
8
10
12
16
Regarding system usage (user time / system time), please report the usage of the whole process
instead of each thread. Then based on above table, try to briefly analyze relation between
performance and No. threads and reason the relationship. Submit the table, your analysis and
reasoning in an one-page pdf document.
IMPORTANT: Due to the large number of students this year, please conduct the benchmark on your
own computer instead of the workbench2 server. Grading of your report is based on your analysis
and reasoning instead of the speed you achieved. When you’re working on workbench2, please be
reminded that you have limited maximum allowed thread numbers (128) and process (512), so
please do not conduct benchmarking on workbench2 server.
Submission
Submit your program to the Programming # 2 submission page at the course’s moodle website.
Name the program to llama2_[UID].c (replace [UID] with your HKU student number). As the
Moodle site may not accept source code submission, you can compress files to the zip format before
uploading. Submission checklist:
§ Your source code llama2_[UID].c, must be self-contained. (No dependencies other
than utilities.c and utilities.h)
§ Your report including benchmark table, your analysis and reasoning
§ Please do not submit model and tokenizer binary file (model.bin and tokenizer.bin).
Documentation
1. At the head of the submitted source code, i.e., llama2_[UID].c, state the:
§ File name
§ Student’s Name and UID
§ Development Platform
§ Remark – describe how much you have completed (See Grading Criteria)
2. Inline comments (try to be detailed so that your code could be understood by others easily)
Computer Platform to Use
For this assignment, you can develop and test your program on any Linux/Mac platform, but you
must make sure that the program can correctly execute on the workbench2 Linux server (as the
tutors will use this platform to do the grading). Your program must be written in C and successfully
compiled with gcc on the server.
Please note that the only server for COMP**30 is workbench2.cs.hku.hk, and please do not use
any other CS department server, especially academy11 and academy21, as they are reserved for
other courses. In case you can not login to workbench2, please contact tutor(s) for help.
Grading Criteria
1. Your submission will be primarily tested on the workbench2 server. Make sure that your
program can be compiled without any errors. Otherwise, we have no way to test your
submission and you will get a zero mark.
2. As the tutor will check your source code, please write your program with good readability (i.e.,
with good code convention and sufficient comments) so that you will not lose marks due to
confusion.
3. You can only use pthread.h and semaphore.h(if need), using other external libraries like
OpenMP, LAPACK will lead to 0 mark.
Detailed Grading Criteria
§ Documentation -1 point if failed to do
§ Include necessary documentation to explain the logic of the program
§ Include required student’s info at the beginning of the program
§ Report: 1 point
§ Measure the performance of the sequential program and your parallel program on your
computer with various No. threads (0, 1, 2, 4, 6, 8, 10, 12, 16).
§ Briefly analyze the relation between performance and No. threads and reason the relation
§ Implementation: 10 points evaluated progressively:
1. (+2 points = 2 points) Achieve correct result & use multi-threading. Correct means
generated text of multi-threading and sequential are identical with same random seed.
2. (+3 points = 5 points total) All in 1., and achieve >10% acceleration by multi-threading
compared with sequential under 4 threads. Acceleration measurement is based on tok/s,
acceleration must result from multi-threading instead of others like compiler (-O3), etc.
3. (+5 points = 10 points total) All in 2., and reuse threads in multi-threading. Reuse threads
means number of threads created in the whole program must be constant as thr_count.
Plagiarism
Plagiarism is a very serious offense. Students should understand what constitutes plagiarism, the
consequences of committing an offense of plagiarism, and how to avoid it. Please note that we may
request you to explain to us how your program is functioning as well as we may also make use of
software tools to detect software plagiarism.
Note: You must clearly acknowledge it if you use ChatGPT or any AI tools to generate code in your
implementation. Please kindly quote GPT generated code by // GPT Code Start Here and
// GPT Code End Here.
Appendix
a. Parallelism Checking
To parallel by multi-threading, it’s critical to verify if the computation is independent to avoid race
condition and the potential use of lock. More specifically, we need to pay special attention to check
and avoid writing to the same memory location while persisting the correctness.
For example, 1st iteration (outer for-loop) matches the requirement of independence as the
computation of each row won’t affect others, and the only two writing is out[i] and val. Writing to
the same out[i] can be avoid by separating i between threads. val can be implemented as stack
variables for each threads respectively so no writing to the same memory.
Quite the opposite, 2nd iteration (inner for-loop) is not a good example for multi-threading, though
the only writing is val. If val is implemented as stack variable, then each thread only holds a part of
correct answer. If val is implemented as heap variables to be shared among threads, then val
requires lock to avoid race writing.
b. Design of Context
A straightforward solution to the above problem is to let thread function to do computation and exit
when finished, and let original mat_vec_mul function to create threads and wait for threads exit by
pthread_join. This could provide the same synchronization.
However, this implementation is problematic because each function call to mat_vec_mul will create
n new threads. Unfortunately, to generate a sentence, LLM like llama2 will call mat_vec_mul
thousands of times, so thousands of threads will be created and destroyed, which leads to indefinite
overhead to the operation system.
Noted that all the calls to mat_vec_mul are doing the same task, i.e., Matrix-Vector-Multiplication,
and the only difference between each function call is the parameter. Thus, a straightforward
optimization is to reuse the threads. In high-level, we can create n threads in advance, and when
mat_vec_mul is called, we assign new parameters for thread functions and let threads working on
new parameters.
Moreover, It’s worth noticed that mat_vec_mul is only valid within the context, i.e., between
create_mat_vec_mul and destroy_mat_vec_mul, or there are no threads other than the main (not
yet created or has been destroyed). This kind of context provides efficient and robust control over
local variable, and has been integrated with high-level languages like Python `with`.
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