2. Form JPEG - Appendix (685.5Kb)

(1)

LISTING PROGRAM

1. Form

Awal

function varargout = awal(varargin)

function awal_OpeningFcn(hObject, eventdata, handles, varargin) handles.output = hObject;

guidata(hObject, handles); axes(handles.axes_logo); img = imread('logo.png'); image(img);

grid off; axis off;

function varargout = awal_OutputFcn(hObject, eventdata, handles) varargout{1} = handles.output;

function jpeg_button_Callback(hObject, eventdata, handles) jpeg % membuka figure jpeg (jpeg.fig)

delete(handles.figure1);

function bwt_button_Callback(hObject, eventdata, handles) bwt % membuka figure bwt (bwt.fig)

function help_button_Callback(hObject, eventdata, handles) bantuan % membuka figure bantuan (bantuan.fig)

function about_button_Callback(hObject, eventdata, handles) programmer % membuka figure profil programmer (programmer.fig) delete(handles.figure1);

function exit_button_Callback(hObject, eventdata, handles) selection = questdlg('Keluar?',...

'Konfirmasi','Ya','Tidak','Ya');

if strcmp(selection,'Tidak') return;

end

delete(handles.figure1)

2. Form

JPEG

function varargout = jpeg(varargin)

function jpeg_OpeningFcn(hObject, eventdata, handles, varargin) handles.output = hObject;

guidata(hObject, handles); A = imread('Awal.jpg'); axes(handles.axes_asli); imshow(A);

axes(handles.axes_hasil); imshow(A);

(2)

function varargout = jpeg_OutputFcn(hObject, eventdata, handles) varargout{1} = handles.output;

function btn_buka_Callback(hObject, eventdata, handles)

global input_citra;

global img;

set(handles.text_proses,'String','Wait...'); pause(0.1);

[filename, pathname] = uigetfile({'*.bmp'},'Buka File Citra');

if ~isequal (filename,0) && ~isequal (pathname,0)

[pathstr,name,ext] = fileparts([pathname filename]); if ext == '.bmp'

input_citra = fullfile(pathname,filename); info = imfinfo(fullfile(pathname,filename)); size_file = info.FileSize/1000;

set(handles.edit_citra_hasil,'String',edit_hasil); set(handles.size2,'String',edit_ukuran);

set(handles.edit1,'String',edit_hasil); set(handles.edit2,'String',edit_hasil); set(handles.edit3,'String',edit_hasil);

set(handles.edit_citra_asli,'String',filename); set(handles.size1,'String',str);

set(handles.text_proses,'String','Ready'); set(handles.btn_kompresi,'Enable','On'); set(handles.btn_dekompresi,'Enable','Off'); pause(0.1);

else

errordlg('Sistem hanya membaca citra dengan format bitmap (*.bmp)');

set(handles.text_proses,'String','Ready'); set(handles.btn_kompresi,'Enable','Off'); set(handles.btn_dekompresi,'Enable','Off'); pause(0.1);

return; end else

set(handles.text_proses,'String','Ready'); pause(0.1);

end

function btn_kompresi_Callback(hObject, eventdata, handles)

(3)

runtime = cputime;

set(handles.text_proses,'String','Wait...'); set(handles.btn_kompresi,'Enable','Off'); set(handles.btn_dekompresi,'Enable','Off'); pause(0.1);

image = imread(input_citra);

assignin('base','citraAsli',image)

q = 1;

[img_kompres] = im2jpeg(image, q); runtime = cputime - runtime;

[ratio] = imratio(image,img_kompres); set(handles.edit2,'String',ratio);

str = num2str(runtime,'%1.2f s'); set(handles.edit3,'String',str);

set(handles.text_proses,'String','Ready'); set(handles.btn_kompresi,'Enable','On'); set(handles.btn_dekompresi,'Enable','On'); pause(0.1);

function btn_dekompresi_Callback(hObject, eventdata, handles) runtime = cputime;

[image_reconst] = jpeg2im; runtime = cputime - runtime;

assignin('base','citraHasil',image_reconst)

axes(handles.axes_hasil); imshow(image_reconst);

file = 'C:\Users\Yudha\Documents\MATLAB\Skripsi\jpeg\img dekompres\citraDekompres.jpeg';

S = getimage(handles.axes_hasil); imwrite(S, file);

info = imfinfo(file);

size_file_hasil = info.FileSize/1000;

str1 = num2str(size_file_hasil,'%1.1f Kb');

set(handles.edit_citra_hasil,'String','citraDekompres.jpeg'); set(handles.size2,'String',str1);

(4)

function btn_keluar_Callback(hObject, eventdata, handles) selection = questdlg('Kembali ke menu awal?',...

end

delete(handles.figure1); awal

3. Form

BWT

function varargout = bwt(varargin)

function bwt_OpeningFcn(hObject, eventdata, handles, varargin) handles.output = hObject;

function varargout = bwt_OutputFcn(hObject, eventdata, handles) varargout{1} = handles.output;

function btn_buka_Callback(hObject, eventdata, handles)

global input_citra;

global img;

set(handles.text_proses,'String','Wait...'); pause(0.1);

[filename, pathname] = uigetfile({'*.bmp'},'Buka File Citra');

if ~isequal (filename,0) && ~isequal (pathname,0)

[pathstr,name,ext] = fileparts([pathname filename]); if ext == '.bmp'

input_citra = fullfile(pathname,filename); info = imfinfo(fullfile(pathname,filename)); size_file = info.FileSize/1000;

set(handles.edit_citra_hasil,'String',edit_hasil); set(handles.size2,'String',edit_ukuran);

(5)

set(handles.edit3,'String',edit_hasil);

set(handles.edit_citra_asli,'String',filename); set(handles.size1,'String',str);

set(handles.text_proses,'String','Ready'); set(handles.btn_kompresi,'Enable','On'); set(handles.btn_dekompresi,'Enable','Off'); pause(0.1);

else

errordlg('Sistem hanya membaca citra dengan format bitmap (*.bmp)');

set(handles.text_proses,'String','Ready'); set(handles.btn_kompresi,'Enable','Off'); set(handles.btn_dekompresi,'Enable','Off'); pause(0.1);

return; end else

set(handles.text_proses,'String','Ready'); pause(0.1);

end

function btn_kompresi_Callback(hObject, eventdata, handles)

global input_citra;

runtime = cputime;

image = imread(input_citra);

assignin('base','citraAsli',image)

[img_kompres] = bwtcomp(image); runtime = cputime - runtime;

[ratio] = imratio1(image,img_kompres); set(handles.edit2,'String',ratio);

function btn_dekompresi_Callback(hObject, eventdata, handles) runtime = cputime;

(6)

assignin('base','citraHasil',image_reconst)

axes(handles.axes_hasil); imshow(image_reconst);

file = 'C:\Users\Yudha\Documents\MATLAB\Skripsi\bwt\img dekompres\citraDekompres.bmp';

S = getimage(handles.axes_hasil); imwrite(S, file);

info = imfinfo(file);

size_file_hasil = info.FileSize/1000;

str1 = num2str(size_file_hasil,'%1.1f Kb');

set(handles.edit_citra_hasil,'String','citraDekompres.bmp'); set(handles.size2,'String',str1);

function btn_keluar_Callback(hObject, eventdata, handles) selection = questdlg('Kembali ke menu awal?',...

end

delete(handles.figure1); awal

4. Form

Bantuan

function varargout = bantuan(varargin)

function bantuan_OpeningFcn(hObject, eventdata, handles, varargin) handles.output = hObject;

guidata(hObject, handles);

function varargout = bantuan_OutputFcn(hObject, eventdata, handles)

varargout{1} = handles.output;

function btn_keluar_Callback(hObject, eventdata, handles) delete(handles.figure1);

awal

5. Form

Profil

Programmer

function varargout = programmer(varargin)

function programmer_OpeningFcn(h, eventdata, handles, varargin) handles.output = h;

guidata(h, handles); axes(handles.axes1);

img = imread('yudha.jpg'); image(img);

(7)

axis off;

function varargout = programmer_OutputFcn(hObject, eventdata, handles)

function btn_keluar_Callback(hObject, eventdata, handles) delete(handles.figure1);

awal

6. Function

imratio

function ratio = imratio(f1,f2) narginchk(2, 2);

ratio = bytes(f1) / bytes(f2);

function b = bytes(f)

if isstruct(f)

info = dir('C:\Users\Yudha\Documents\MATLAB\Skripsi\jpeg\file kompres\kompresJPEG.mat');

b = info.bytes;

else

info = whos('f'); b = info.bytes;

end

7. Function

imratio1

function ratio = imratio1(f1,f2) narginchk(2, 2);

ratio = bytes(f1) / bytes(f2);

function b = bytes(f)

if isstruct(f)

info = dir('C:\Users\Yudha\Documents\MATLAB\Skripsi\bwt\file kompres\kompresBWT.mat');

b = info.bytes;

else

info = whos('f'); b = info.bytes;

end

8. Form

lihat_citra

function varargout = lihat_citra(varargin)

function lihat_citra_OpeningFcn(hObject, eventdata, handles, varargin)

handles.output = hObject; guidata(hObject, handles);

global img; R = img(:,:,1); axes(handles.axes1); imshow(R);

G = img(:,:,2); axes(handles.axes2); imshow(G);

(8)

img1 = rgb2ycbcr(img); y = img1(:,:,1);

axes(handles.axes4); imshow(y);

cb = img1(:,:,2); axes(handles.axes5); imshow(cb);

cr = img1(:,:,3); axes(handles.axes6); imshow(cr);

function varargout = lihat_citra_OutputFcn(hObject, eventdata, handles)

function pushbutton1_Callback(hObject, eventdata, handles) delete(handles.figure1);

9. Function

im2jpeg

function y = im2jpeg(image, quality) img = image;

[Height,Width,Depth] = size(img); img1 = img(1:Height,1:Width,:); clear img;

img = img1;

if Depth > 1

img = rgb2ycbcr(img); y = img(:,:,1);

cb = img(:,:,2); cr = img(:,:,3); x = uint8(y);

else

x = uint8(img); cb = char; cr = char;

end

m = [16 11 10 16 24 40 51 61 12 12 14 19 26 58 60 55 14 13 16 24 40 57 69 56 14 17 22 29 51 87 80 62

18 22 37 56 68 109 103 77 24 35 55 64 81 104 113 92 49 64 78 87 103 121 120 101

72 92 95 98 112 100 103 99] * quality;

order = [1 9 2 3 10 17 25 18 11 4 5 12 19 26 33 ...

41 34 27 20 13 6 7 14 21 28 35 42 49 57 50 ...

43 36 29 22 15 8 16 23 30 37 44 51 58 59 52 ...

45 38 31 24 32 39 46 53 60 61 54 47 40 48 55 ...

62 63 56 64];

(9)

y = blkproc(x, [8 8], 'P1 * x * P2', t, t'); y = blkproc(y, [8 8], 'round(x ./ P1)', m);

y = im2col(y, [8 8], 'distinct'); xb = size(y, 2); y = y(order, :);

eob = max(y(:)) + 1; r = zeros(numel(y) + size(y, 2), 1); count = 0;

for j = 1:xb i = max(find(y(:, j))); if isempty(i) i = 0;

end

p = count + 1; q = p + i;

r(p:q) = [y(1:i, j); eob]; count = count + i + 1;

end

r((count + 1):end) = [];

y = struct;

y.size = uint16([xm xn]); y.numblocks = uint16(xb);

y.quality = uint16(quality * 100); y.huffman = mat2huff(r);

y.chromaBlue = cb; y.chromaRed = cr;

%save compressed file

save ('C:\Users\Yudha\Documents\MATLAB\Skripsi\jpeg\file kompres\kompresJPEG.mat','y');

end

10. Function

mat2huff

function y = mat2huff(x)

if ~ismatrix(x) || ~isreal(x) || (~isnumeric(x) && ~islogical(x)) error('X must be a 2-D real numeric or logical matrix.');

end

% Store the size of input x. y.size = uint32(size(x));

% Find the range of x values and store its minimum value biased % by +32768 as a UINT16.

x = round(double(x)); xmin = min(x(:)); xmax = max(x(:));

pmin = double(int16(xmin)); pmin = uint16(pmin + 32768); y.min = pmin;

(10)

x = x(:)';

h = histc(x, xmin:xmax);

if max(h) > 65535

h = 65535 * h / max(h);

end

h = uint16(h); y.hist = h;

% Code the input matrix and store the result. map = huffman(double(h)); % Make Huffman code map hx = map(x(:) - xmin + 1); % Map image

hx = char(hx)'; % Convert to char array hx = hx(:)';

hx(hx == ' ') = []; % Remove blanks

ysize = ceil(length(hx) / 16); % Compute encoded size

hx16 = repmat('0', 1, ysize * 16); % Pre-allocate modulo-16 vector hx16(1:length(hx)) = hx; % Make hx modulo-16 in length

hx16 = reshape(hx16, 16, ysize); % Reshape to 16-character words hx16 = hx16' - '0'; % Convert binary string to decimal

twos = pow2(15:-1:0);

y.code = uint16(sum(hx16 .* twos(ones(ysize, 1), :), 2))';

end

11. Function

huff2mat

function x = huff2mat(y)

if ~isstruct(y) || ~isfield(y, 'min') || ~isfield(y, 'size') ||

...

~isfield(y, 'hist') || ~isfield(y, 'code')

error('The input must be a structure as returned by MAT2HUFF.');

end

sz = double(y.size); m = sz(1); n = sz(2); xmin = double(y.min) - 32768; % Get X minimum

map = huffman(double(y.hist)); % Get Huffman code (cell)

% Create a binary search table for the Huffman decoding process. % 'code' contains source symbol strings corresponding to 'link' % nodes, while 'link' contains the addresses (+) to node pairs for % node symbol strings plus '0' and '1' or addresses (-) to decoded % Huffman codewords in 'map'. Array 'left' is a list of nodes yet to

% be processed for 'link' entries.

code = cellstr(char('', '0', '1')); % Set starting conditions as link = [2; 0; 0]; left = [2 3]; % 3 nodes w/2 unprocessed found = 0; tofind = length(map); % Tracking variables

while ~isempty(left) && (found < tofind)

look = find(strcmp(map, code{left(1)})); % Is string in map? if look % Yes

link(left(1)) = -look; % Point to Huffman map left = left(2:end); % Delete current node found = found + 1; % Increment codes found

else % No, add 2 nodes & pointers

(11)

link = [link; 0; 0]; % Add unprocessed nodes code{end + 1} = strcat(code{left(1)}, '0'); code{end + 1} = strcat(code{left(1)}, '1');

left = left(2:end); % Remove processed node

left = [left len + 1 len + 2]; % Add 2 unprocessed nodes end

end

x = unravel(y.code', link, m * n); % Decode using C 'unravel' x = x + xmin - 1; % X minimum offset adjust

x = reshape(x, m, n); % Make vector an array

end

12. Function

jpeg2im

function output = jpeg2im

load ('C:\Users\Yudha\Documents\MATLAB\Skripsi\jpeg\file kompres\kompresJPEG.mat');

m = [16 11 10 16 24 40 51 61 12 12 14 19 26 58 60 55 14 13 16 24 40 57 69 56 14 17 22 29 51 87 80 62

18 22 37 56 68 109 103 77 24 35 55 64 81 104 113 92 49 64 78 87 103 121 120 101 72 92 95 98 112 100 103 99];

order = [1 9 2 3 10 17 25 18 11 4 5 12 19 26 33 ...

41 34 27 20 13 6 7 14 21 28 35 42 49 57 50 ...

43 36 29 22 15 8 16 23 30 37 44 51 58 59 52 ...

45 38 31 24 32 39 46 53 60 61 54 47 40 48 55 ...

62 63 56 64];

rev = order;

for k = 1:length(order)

rev(k) = find(order == k);

end

m = double(y.quality) / 100 * m; xb = double(y.numblocks); sz = double(y.size);

xn = sz(2); xm = sz(1); x = huff2mat(y.huffman);

eob = max(x(:));

z = zeros(64, xb); k = 1;

for j = 1:xb for i = 1:64

if x(k) == eob

k = k + 1; break; else

(12)

end end

z = z(rev, :); x = col2im(z, [8 8], [xm xn], 'distinct'); x = blkproc(x, [8 8], 'x .* P1', m);

t = dctmtx(8);

x = blkproc(x, [8 8], 'P1 * x * P2', t', t); x = uint8(x + 128);

cb = y.chromaBlue; cr = y.chromaRed;

if ~ischar(cb) && ~ischar(cr) RGB(:,:,1) = x;

RGB(:,:,2) = uint8(cb); RGB(:,:,3) = uint8(cr); img = ycbcr2rgb(RGB); output = im2uint8(img);

else

output = im2uint8(x);

end end

13. Function

huffman

function CODE = huffman(p) narginchk(1, 1);

if (~ismatrix(p)) || (min(size(p)) > 1) || ~isreal(p) || ~isnumeric(p)

error('P must be a real numeric vector.');

end

% Global variable surviving all recursions of function 'makecode'

global CODE

CODE = cell(length(p), 1); % Init the global cell array

if length(p) > 1 % When more than one symbol ...

p = p / sum(p); % Normalize the input probabilities s = reduce(p); % Do Huffman source symbol reductions makecode(s, []); % Recursively generate the code

else

CODE = {'1'}; % Else, trivial one symbol case!

end;

for i = 1:numel(CODE) c = CODE{i};

t = c; c(c=='1') = '0'; c(t=='0') = '1'; CODE{i} = c;

end end

function s = reduce(p)

% Create a Huffman source reduction tree in a MATLAB cell structure

(13)

s = cell(length(p), 1);

% Generate a starting tree with symbol nodes 1, 2, 3, ... to % reference the symbol probabilities.

for i = 1:length(p) s{i} = i;

end

while numel(s) > 2

[p, i] = sort(p); % Sort the symbol probabilities p(2) = p(1) + p(2); % Merge the 2 lowest probabilities p(1) = []; % and prune the lowest one

s = s(i); % Reorder tree for new probabilities s{2} = {s{1}, s{2}}; % and merge & prune its nodes s(1) = []; % to match the probabilities

end end

function makecode(sc, codeword)

% Scan the nodes of a Huffman source reduction tree recursively to % generate the indicated variable length code words.

% Global variable surviving all recursive calls

global CODE

if isa(sc, 'cell') % For cell array nodes,

makecode(sc{1}, [codeword 0]); % add a 0 if the 1st element makecode(sc{2}, [codeword 1]); % or a 1 if the 2nd

else % For leaf (numeric) nodes,

CODE{sc} = char('0' + codeword); % create a char code string

end end

14. Function

”

unravel

”

#include "mex.h"

//unravel = decodes a variable-length bit stream //use mex to connect between c and matlab m-file

void unravel(unsigned short *hx, double *link, double *x, double

xsz, int hxsz) {

int i = 15, j = 0, k = 0, n = 0;

while (xsz - k) {

if (*(link + n) > 0) {

if ((*(hx + j) >> i) & 0x0001) n = *(link + n);

else n = *(link + n) - 1;

if (i) i--; else {j++; i = 15;} if (j > hxsz)

mexErrMsgTxt("Out of code bits ???"); }

else {

*(x + k++) = -*(link + n); n = 0; }

}

(14)

*(x + k++) = -*(link + n); }

void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[])

{

double *link, *x, xsz; unsigned short *hx; int hxsz;

if(nrhs != 3)

mexErrMsgTxt("Threeinputs required."); else if (nlhs > 1)

mexErrMsgTxt("Too many output arguments.");

if (!mxIsDouble(prhs[2]) || mxIsComplex(prhs[2]) || mxGetN(prhs[2]) *

mxGetM(prhs[2]) != 1)

mexErrMsgTxt("Input XSIZE must be a scalar.");

hx = mxGetPr(prhs[0]); link = mxGetPr(prhs[1]); xsz = mxGetScalar(prhs[2]);

hxsz = mxGetM(prhs[0]);

plhs[0] = mxCreateDoubleMatrix(xsz, 1, mxREAL);

x = mxGetPr(plhs[0]);

unravel(hx,link, x, xsz, hxsz); }

15. Function

bwtcomp

function f = bwtcomp(image) img = image;

[Height,Width,Depth] = size(img); img1 = img(1:Height,1:Width,:); clear img;

img = img1;

if Depth > 1

img = rgb2ycbcr(img); y = img(:,:,1);

cb = img(:,:,2); cr = img(:,:,3); x = uint8(y);

else

x = uint8(img); cb = char; cr = char;

end

order = [1 9 2 3 10 17 25 18 11 4 5 12 19 26 33 ...

41 34 27 20 13 6 7 14 21 28 35 42 49 57 50 ...

43 36 29 22 15 8 16 23 30 37 44 51 58 59 52 ...

(15)

62 63 56 64]; [xm, xn] = size(x); x = double(x);

y = im2col(x, [8 8],'distinct'); xb = size(y, 2);

y = y(order, :); y = y(:)';

bagi = xb/4;

for i=1:bagi

r{i} = y(floor((end/bagi)*(i-1)+1):ceil((end/bagi)*i)); code{i} = bwtenc(r{i});

end

f = struct;

f.size = uint16([xm xn]); f.numblocks = uint16(xb); f.bwt = code;

f.chromaBlue = cb; f.chromaRed = cr;

%save compressed file

save ('C:\Users\Yudha\Documents\MATLAB\Skripsi\bwt\file kompres\kompresBWT.mat','f');

end

16. Function

bwtenc

function out_data = bwtenc(input) input = input(:)';

R = zeros(1,2*length(input));

for length_sort=1:length(R)

if(length_sort>length(input))

R(length_sort) = input(length_sort-length(input));

else

R(length_sort) = input(length_sort); end

end

table_sort = zeros(length(input),length(input));

for row_sort=1:length(input)

table_sort(row_sort,:) = R(row_sort:length(input)+row_sort-1);

end

[lexi_data,ind] = sortrows(table_sort);

encoded_data = lexi_data(:,length(input)); index = find(ind==2,1);

out_data = [encoded_data',index];

(16)

17. Function

bwtdec

function decoded_data = bwtdec(input) encoded_data = input(1:length(input)-1); index = input(length(input));

sorted_data = sort(encoded_data); R = ones(1,length(encoded_data))';

vector = zeros(1,length(encoded_data))';

%preparing vector table

for i=1:length(sorted_data) for j=1:length(sorted_data)

if(encoded_data(j) == sorted_data(i) && R(j)) R(j);

vector(i) = j; R(j) = 0; break

end

end end

decoded_data = zeros(1,length(encoded_data));

%getting original data back

for i = 1:length(encoded_data)

decoded_data(i)= encoded_data(index); index = vector(index);

end end

18. Function

ibwtcomp

function output = ibwtcomp

load ('C:\Users\Yudha\Documents\MATLAB\Skripsi\bwt\file kompres\kompresBWT.mat');

bagi = f.numblocks/4;

for m=1:bagi

i{m} = bwtdec(f.bwt{m});

end

y = cell2mat(i);

order = [1 9 2 3 10 17 25 18 11 4 5 12 19 26 33 ...

41 34 27 20 13 6 7 14 21 28 35 42 49 57 50 ...

43 36 29 22 15 8 16 23 30 37 44 51 58 59 52 ...

45 38 31 24 32 39 46 53 60 61 54 47 40 48 55 ...

62 63 56 64];

rev = order;

for k = 1:length(order)

rev(k) = find(order == k);

end

xb = double(f.numblocks); sz = double(f.size);

xn = sz(2); xm = sz(1);

y = reshape(y,64,xb);

(17)

x = col2im(y, [8 8], [xm xn], 'distinct'); x = uint8(x);

cb = f.chromaBlue; cr = f.chromaRed;

if ~ischar(cb) && ~ischar(cr) RGB(:,:,1) = x;

RGB(:,:,2) = uint8(cb); RGB(:,:,3) = uint8(cr); img = ycbcr2rgb(RGB); output = im2uint8(img);

else

output = im2uint8(x);

end end

19. License.m

%---LICENSE---%Program ini dibuat dengan hak cipta

%yang bertujuan untuk menghindari plagiat

%dan dituliskan dalam daftar pustaka sebagai rujukan.

%Dibuat oleh diri sendiri dengan bantuan buku dan internet: %awal.fig, jpeg.fig, bwt.fig, bantuan.fig, programmer.fig, lihat_citra.fig,

%awal.m, jpeg.m, bwt.m, bantuan.m, programmer.m, lihat_citra.m, imratio.m,

%imratio1.m, bwtcomp.m, ibwtcomp.m

%Dibuat oleh Gonzales, Woods, dan Eddins dengan revisi:

%im2jpeg.m, jpeg2im.m, huff2mat.m, mat2huff, huffman.m, unravel.c

%Dibuat oleh Akhtar dan diambil dari matlab file exchange dengan revisi:

(18)

CURRICULUM VITAE

Data Pribadi

Nama

: Yudha Prayogie S

Tempat/Tanggal Lahir : Binjai / 25 November 1992

Agama

: Islam

Kewarganegaraan

: Indonesia

Alamat Sekarang

: Jl. Pendidikan No.1 Lk. V Binjai Utara Kota Binjai

Alamat Orang Tua

: Jl. Pendidikan No.1 Lk. V Binjai Utara Kota Binjai

Telp/ HP

: 0857 6007 4004

Email

: yudhaprayogie@gmail.com

Riwayat Pendidikan

[1998

–

2004]

: SD Swasta Ahmad Yani Binjai

[2004

–

2007]

: SMP Swasta Ahmad Yani Binjai

[2007

–

2010]

: SMA Negeri 1 Binjai

[2010

–

2015]

: S1 Ilmu Komputer Universitas Sumatera Utara

Keahlian

Keahlian Komputer

:

Pemrograman

: Pascal, C++, Matlab.

Database

: MySQL

(19)