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###### 日期：2020-11-18 11:38

COP 5536 Fall 2020

Programming Project

Due Date: Nov 27th 2020, 11:55 pm EST

In computer science and information theory, a Huffman code is a particular type of optimal prefix code that is

commonly used for lossless data compression. In this project, you will implement the Huffman encoder and

decoder with the following details.

1. Huffman Coding

The first step in this project is to develop a program that generates Huffman codes. The algorithm for this was

discussed in Lecture 7. For this project, you need to evaluate which of the following priority queue structures

gives best performance: Binary Heap, 4-way cache optimized heap (lecture 10 slides 23 and 24), and Pairing

Heap (lecture 15). Write code to generate Huffman trees using these three data structures and then measure

run time using input data of sample_input_large.txt. Use the following code as reference (this is in C++, use a

similar approach if you are using some other programming language):

clock_t start_time;

// binary heap

start_time = clock();

for(int i = 0; i < 10; i++){ //run 10 times on given data set

build_tree_using_binary_heap(freq_table);

} cout << "Time using binary heap (microsecond): " << (clock() - start_time)/10 <<

endl;

// 4-way heap

start_time = clock();

for(int i = 0; i < 10; i++){ //run 10 times on given data set

build_tree_using_4way_heap(freq_table);

} cout << "Time using 4-way heap (microsecond): " << (clock() - start_time)/10 <<

endl;

// pairing heap

start_time = clock();

for(int i = 0; i < 10; i++){ //run 10 times on given data set

build_tree_using_pairing_heap(freq_table);

}

cout << "Time using pairing heap (microsecond): " << (clock() - start_time)/10 << endl;

Once you have determined which data structure gives the best performance, finalize your Huffman code

program using that data structure. The finalized Huffman code program will take as input a frequency table and

output a code table. Include the timings and conclusions in your report. Once the Huffman code program is

finalized, you should proceed to write the encoder and decoder.

2. Encoder

The encoder reads an input file that is to be compressed and generates two output files – the compressed

version of the input file and the code table. Your encoder can follow this diagram:

Input format

Input file name will be given as a command line argument. This file can have up to 100,000,000 lines and each

line will contain an integer in the range of 0 to 999,999. Consider the following input for the rest of the document:

Building frequency table

First step towards Huffman encoding is to build the frequency table for each value in input. As values will be

within 0 to 999999, an array can be used for storing frequency for each value. Frequency mapping for the given

input file is:

0 ==> 4

2245 ==> 4

999999 ==> 2

34 ==> 3

446 ==> 2

2 ==> 1

build Huffman tree and code

table

<input_file> freq_table

code_table

encoded.bin

encode

data

build

freq

table

Encoder

code_table.txt

Build Huffman tree and code table

Use the data structure with best timing from section 1 to build the Huffman code table. For the sample input

given, one possible Huffman tree and corresponding code table mapping is given below. The code table can be

built from the Huffman tree by doing a traversal of the tree.

2 ==> 000

999999 ==> 001

0 ==> 01

2245 ==> 10

446 ==> 110

34 ==> 111

Huffman tree code table

Encode data

Once the code table is built, it can be used to encode the original input file by replacing each input value by its

code. Please note that the values are not ASCII characters, rather binary values. You can use "ios::binary" flag

in C++, or OutputStream in Java.

0110010011001011010111110111110111001000

Output format

Encoder program has two output files. One is encoded message in binary format. It must be saved as

"encoded.bin". As mentioned in Encode Data phase, output encoded.bin for given data will be:

encoded.bin

0110010011001011010111110111110111001000

Second output is the code table. Each line in this output file will contain value of a leaf node of Huffman tree,

and its code separated by a space. It must be saved as "code_table.txt".

code_table.txt

2 000

999999 001

0 01

2245 10

446 110

34 111

Note: Both "encoded.bin" and "code_table.txt" are NOT unique. They will not be used for grading directly.

However, the size of "encoded.bin" is unique, so this size will be used for grading purpose. "code_table.txt"

will be used by your decoder program to decompress the encoded file.

3. Decoder

The decoder reads two input files - encoded message and code table. The decoder first constructs the decode

tree using the code table. Then the decoded message can be generated from the encoded message using the

decode tree. Your report should include a description of the algorithm used to construct the decode tree from

the code table together with the complexity of this algorithm.

Input format

The decoder takes two input files - encoded message and code table. File names will be given as command line

arguments. The format of these files is the same as the output format of the encoder, so that the output files

of the encoder program can be directly used by the decoder program. Note that the input encoded message

will be in binary format, not ASCII characters. You can use ios::binary flag for C++ or InputStream for Java.

Output format

Output of decoder program is the decoded message. It should be saved as "decoded.txt". The format of this file

is same as the input format for the encoder. For any sample input, the following scenario should be true:

<input_file> decoded.txt

4. Files provided in elearning

sample1/..

i. sample_input_small.txt

ii. encoded.bin

iii. code_table.txt iv.

decoded.txt

;inputs/outputs mentioned in this document

sample2/.. ;large inputs/outputs set

i. sample_input_large.txt

ii. encoded.bin

iii. code_table.txt iv.

decoded.txt

;use this file for performance measurement

COP5536_FA20_Project.pdf ;this file

5. Run environment

Your code must be able to run in the linux environment. You can test your program either on CISE

storm.cise.ufl.edu or thunder.cise.ufl.edu server (for which you need to login using your CISE account). Write

a Makefile so that we can build your code using following command at terminal:

\$ make

This command should produce two binary files: encoder and decoder.

As mentioned before, encoder should take one input file. We will run it using following command:

\$ ./encoder <input_file_name> [For C++]

\$ java encoder <input_file_name> [For Java]

Running encoder program must produce the output files with exact name "encoded.bin" and "code_table.txt".

On the other hand, decoder will take two input files. We will run it using following command:

\$ ./decoder <encoded_file_name> <code_table_file_name> [For C++]

\$ java decoder <encoded_file_name> <code_table_file_name> [For Java]

Running decoder program must produce output file with exact name "decoded.txt". Any

violation of these rules will incur 25% penalty.

6. Submission

Your submission must contain the following files:

1. Makefile: To build your program.

2. Your source codes. Do not use any subdirectory.

3. Report.pdf:

a. Should be in pdf format.

b. Should contain your name and UFID.

c. Present function prototypes and structure of your program.

d. Include performance measurement results and explanation.

e. Include what decoding algorithm you used and its complexity.

submit directly to a TA. All email submissions will be ignored without further notification. Please note that the

due date is a hard deadline. No late submission will be allowed.

1. Report: 30%

2. Performance Analysis: 10%

3. Correct implementation and execution: 60% Correctness will be tested by:

a. For encoder only: Size of encoded message

b. For decoder only: Correctness of decoded message

c. For both encoder and decoder: Input message => encoder => decoder => output message. Output

message should be same as input message

8. Others

? For C++ and Java, do not use any standard library container other than vector. You must implement all

three types of priority queue by yourself.

? Again, go through the Run Environment section and make sure your program does exactly as required.

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