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neingeist 10 years ago
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function [J, grad] = costFunction(theta, X, y)
%COSTFUNCTION Compute cost and gradient for logistic regression
% J = COSTFUNCTION(theta, X, y) computes the cost of using theta as the
% parameter for logistic regression and the gradient of the cost
% w.r.t. to the parameters.
% Initialize some useful values
m = length(y); % number of training examples
% You need to return the following variables correctly
J = 0;
grad = zeros(size(theta));
% ====================== YOUR CODE HERE ======================
% Instructions: Compute the cost of a particular choice of theta.
% You should set J to the cost.
% Compute the partial derivatives and set grad to the partial
% derivatives of the cost w.r.t. each parameter in theta
%
% Note: grad should have the same dimensions as theta
%
% =============================================================
end

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function [J, grad] = costFunctionReg(theta, X, y, lambda)
%COSTFUNCTIONREG Compute cost and gradient for logistic regression with regularization
% J = COSTFUNCTIONREG(theta, X, y, lambda) computes the cost of using
% theta as the parameter for regularized logistic regression and the
% gradient of the cost w.r.t. to the parameters.
% Initialize some useful values
m = length(y); % number of training examples
% You need to return the following variables correctly
J = 0;
grad = zeros(size(theta));
% ====================== YOUR CODE HERE ======================
% Instructions: Compute the cost of a particular choice of theta.
% You should set J to the cost.
% Compute the partial derivatives and set grad to the partial
% derivatives of the cost w.r.t. each parameter in theta
% =============================================================
end

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%% Machine Learning Online Class - Exercise 2: Logistic Regression
%
% Instructions
% ------------
%
% This file contains code that helps you get started on the logistic
% regression exercise. You will need to complete the following functions
% in this exericse:
%
% sigmoid.m
% costFunction.m
% predict.m
% costFunctionReg.m
%
% For this exercise, you will not need to change any code in this file,
% or any other files other than those mentioned above.
%
%% Initialization
clear ; close all; clc
%% Load Data
% The first two columns contains the exam scores and the third column
% contains the label.
data = load('ex2data1.txt');
X = data(:, [1, 2]); y = data(:, 3);
%% ==================== Part 1: Plotting ====================
% We start the exercise by first plotting the data to understand the
% the problem we are working with.
fprintf(['Plotting data with + indicating (y = 1) examples and o ' ...
'indicating (y = 0) examples.\n']);
plotData(X, y);
% Put some labels
hold on;
% Labels and Legend
xlabel('Exam 1 score')
ylabel('Exam 2 score')
% Specified in plot order
legend('Admitted', 'Not admitted')
hold off;
fprintf('\nProgram paused. Press enter to continue.\n');
pause;
%% ============ Part 2: Compute Cost and Gradient ============
% In this part of the exercise, you will implement the cost and gradient
% for logistic regression. You neeed to complete the code in
% costFunction.m
% Setup the data matrix appropriately, and add ones for the intercept term
[m, n] = size(X);
% Add intercept term to x and X_test
X = [ones(m, 1) X];
% Initialize fitting parameters
initial_theta = zeros(n + 1, 1);
% Compute and display initial cost and gradient
[cost, grad] = costFunction(initial_theta, X, y);
fprintf('Cost at initial theta (zeros): %f\n', cost);
fprintf('Gradient at initial theta (zeros): \n');
fprintf(' %f \n', grad);
fprintf('\nProgram paused. Press enter to continue.\n');
pause;
%% ============= Part 3: Optimizing using fminunc =============
% In this exercise, you will use a built-in function (fminunc) to find the
% optimal parameters theta.
% Set options for fminunc
options = optimset('GradObj', 'on', 'MaxIter', 400);
% Run fminunc to obtain the optimal theta
% This function will return theta and the cost
[theta, cost] = ...
fminunc(@(t)(costFunction(t, X, y)), initial_theta, options);
% Print theta to screen
fprintf('Cost at theta found by fminunc: %f\n', cost);
fprintf('theta: \n');
fprintf(' %f \n', theta);
% Plot Boundary
plotDecisionBoundary(theta, X, y);
% Put some labels
hold on;
% Labels and Legend
xlabel('Exam 1 score')
ylabel('Exam 2 score')
% Specified in plot order
legend('Admitted', 'Not admitted')
hold off;
fprintf('\nProgram paused. Press enter to continue.\n');
pause;
%% ============== Part 4: Predict and Accuracies ==============
% After learning the parameters, you'll like to use it to predict the outcomes
% on unseen data. In this part, you will use the logistic regression model
% to predict the probability that a student with score 45 on exam 1 and
% score 85 on exam 2 will be admitted.
%
% Furthermore, you will compute the training and test set accuracies of
% our model.
%
% Your task is to complete the code in predict.m
% Predict probability for a student with score 45 on exam 1
% and score 85 on exam 2
prob = sigmoid([1 45 85] * theta);
fprintf(['For a student with scores 45 and 85, we predict an admission ' ...
'probability of %f\n\n'], prob);
% Compute accuracy on our training set
p = predict(theta, X);
fprintf('Train Accuracy: %f\n', mean(double(p == y)) * 100);
fprintf('\nProgram paused. Press enter to continue.\n');
pause;

Binary file not shown.

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%% Machine Learning Online Class - Exercise 2: Logistic Regression
%
% Instructions
% ------------
%
% This file contains code that helps you get started on the second part
% of the exercise which covers regularization with logistic regression.
%
% You will need to complete the following functions in this exericse:
%
% sigmoid.m
% costFunction.m
% predict.m
% costFunctionReg.m
%
% For this exercise, you will not need to change any code in this file,
% or any other files other than those mentioned above.
%
%% Initialization
clear ; close all; clc
%% Load Data
% The first two columns contains the X values and the third column
% contains the label (y).
data = load('ex2data2.txt');
X = data(:, [1, 2]); y = data(:, 3);
plotData(X, y);
% Put some labels
hold on;
% Labels and Legend
xlabel('Microchip Test 1')
ylabel('Microchip Test 2')
% Specified in plot order
legend('y = 1', 'y = 0')
hold off;
%% =========== Part 1: Regularized Logistic Regression ============
% In this part, you are given a dataset with data points that are not
% linearly separable. However, you would still like to use logistic
% regression to classify the data points.
%
% To do so, you introduce more features to use -- in particular, you add
% polynomial features to our data matrix (similar to polynomial
% regression).
%
% Add Polynomial Features
% Note that mapFeature also adds a column of ones for us, so the intercept
% term is handled
X = mapFeature(X(:,1), X(:,2));
% Initialize fitting parameters
initial_theta = zeros(size(X, 2), 1);
% Set regularization parameter lambda to 1
lambda = 1;
% Compute and display initial cost and gradient for regularized logistic
% regression
[cost, grad] = costFunctionReg(initial_theta, X, y, lambda);
fprintf('Cost at initial theta (zeros): %f\n', cost);
fprintf('\nProgram paused. Press enter to continue.\n');
pause;
%% ============= Part 2: Regularization and Accuracies =============
% Optional Exercise:
% In this part, you will get to try different values of lambda and
% see how regularization affects the decision coundart
%
% Try the following values of lambda (0, 1, 10, 100).
%
% How does the decision boundary change when you vary lambda? How does
% the training set accuracy vary?
%
% Initialize fitting parameters
initial_theta = zeros(size(X, 2), 1);
% Set regularization parameter lambda to 1 (you should vary this)
lambda = 1;
% Set Options
options = optimset('GradObj', 'on', 'MaxIter', 400);
% Optimize
[theta, J, exit_flag] = ...
fminunc(@(t)(costFunctionReg(t, X, y, lambda)), initial_theta, options);
% Plot Boundary
plotDecisionBoundary(theta, X, y);
hold on;
title(sprintf('lambda = %g', lambda))
% Labels and Legend
xlabel('Microchip Test 1')
ylabel('Microchip Test 2')
legend('y = 1', 'y = 0', 'Decision boundary')
hold off;
% Compute accuracy on our training set
p = predict(theta, X);
fprintf('Train Accuracy: %f\n', mean(double(p == y)) * 100);

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function out = mapFeature(X1, X2)
% MAPFEATURE Feature mapping function to polynomial features
%
% MAPFEATURE(X1, X2) maps the two input features
% to quadratic features used in the regularization exercise.
%
% Returns a new feature array with more features, comprising of
% X1, X2, X1.^2, X2.^2, X1*X2, X1*X2.^2, etc..
%
% Inputs X1, X2 must be the same size
%
degree = 6;
out = ones(size(X1(:,1)));
for i = 1:degree
for j = 0:i
out(:, end+1) = (X1.^(i-j)).*(X2.^j);
end
end
end

@ -0,0 +1,29 @@
function plotData(X, y)
%PLOTDATA Plots the data points X and y into a new figure
% PLOTDATA(x,y) plots the data points with + for the positive examples
% and o for the negative examples. X is assumed to be a Mx2 matrix.
% Create New Figure
figure; hold on;
% ====================== YOUR CODE HERE ======================
% Instructions: Plot the positive and negative examples on a
% 2D plot, using the option 'k+' for the positive
% examples and 'ko' for the negative examples.
%
% =========================================================================
hold off;
end

@ -0,0 +1,48 @@
function plotDecisionBoundary(theta, X, y)
%PLOTDECISIONBOUNDARY Plots the data points X and y into a new figure with
%the decision boundary defined by theta
% PLOTDECISIONBOUNDARY(theta, X,y) plots the data points with + for the
% positive examples and o for the negative examples. X is assumed to be
% a either
% 1) Mx3 matrix, where the first column is an all-ones column for the
% intercept.
% 2) MxN, N>3 matrix, where the first column is all-ones
% Plot Data
plotData(X(:,2:3), y);
hold on
if size(X, 2) <= 3
% Only need 2 points to define a line, so choose two endpoints
plot_x = [min(X(:,2))-2, max(X(:,2))+2];
% Calculate the decision boundary line
plot_y = (-1./theta(3)).*(theta(2).*plot_x + theta(1));
% Plot, and adjust axes for better viewing
plot(plot_x, plot_y)
% Legend, specific for the exercise
legend('Admitted', 'Not admitted', 'Decision Boundary')
axis([30, 100, 30, 100])
else
% Here is the grid range
u = linspace(-1, 1.5, 50);
v = linspace(-1, 1.5, 50);
z = zeros(length(u), length(v));
% Evaluate z = theta*x over the grid
for i = 1:length(u)
for j = 1:length(v)
z(i,j) = mapFeature(u(i), v(j))*theta;
end
end
z = z'; % important to transpose z before calling contour
% Plot z = 0
% Notice you need to specify the range [0, 0]
contour(u, v, z, [0, 0], 'LineWidth', 2)
end
hold off
end

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function p = predict(theta, X)
%PREDICT Predict whether the label is 0 or 1 using learned logistic
%regression parameters theta
% p = PREDICT(theta, X) computes the predictions for X using a
% threshold at 0.5 (i.e., if sigmoid(theta'*x) >= 0.5, predict 1)
m = size(X, 1); % Number of training examples
% You need to return the following variables correctly
p = zeros(m, 1);
% ====================== YOUR CODE HERE ======================
% Instructions: Complete the following code to make predictions using
% your learned logistic regression parameters.
% You should set p to a vector of 0's and 1's
%
% =========================================================================
end

@ -0,0 +1,18 @@
function g = sigmoid(z)
%SIGMOID Compute sigmoid functoon
% J = SIGMOID(z) computes the sigmoid of z.
% You need to return the following variables correctly
g = zeros(size(z));
% ====================== YOUR CODE HERE ======================
% Instructions: Compute the sigmoid of each value of z (z can be a matrix,
% vector or scalar).
% =============================================================
end

@ -0,0 +1,574 @@
function submit(partId, webSubmit)
%SUBMIT Submit your code and output to the ml-class servers
% SUBMIT() will connect to the ml-class server and submit your solution
fprintf('==\n== [ml-class] Submitting Solutions | Programming Exercise %s\n==\n', ...
homework_id());
if ~exist('partId', 'var') || isempty(partId)
partId = promptPart();
end
if ~exist('webSubmit', 'var') || isempty(webSubmit)
webSubmit = 0; % submit directly by default
end
% Check valid partId
partNames = validParts();
if ~isValidPartId(partId)
fprintf('!! Invalid homework part selected.\n');
fprintf('!! Expected an integer from 1 to %d.\n', numel(partNames) + 1);
fprintf('!! Submission Cancelled\n');
return
end
if ~exist('ml_login_data.mat','file')
[login password] = loginPrompt();
save('ml_login_data.mat','login','password');
else
load('ml_login_data.mat');
[login password] = quickLogin(login, password);
save('ml_login_data.mat','login','password');
end
if isempty(login)
fprintf('!! Submission Cancelled\n');
return
end
fprintf('\n== Connecting to ml-class ... ');
if exist('OCTAVE_VERSION')
fflush(stdout);
end
% Setup submit list
if partId == numel(partNames) + 1
submitParts = 1:numel(partNames);
else
submitParts = [partId];
end
for s = 1:numel(submitParts)
thisPartId = submitParts(s);
if (~webSubmit) % submit directly to server
[login, ch, signature, auxstring] = getChallenge(login, thisPartId);
if isempty(login) || isempty(ch) || isempty(signature)
% Some error occured, error string in first return element.
fprintf('\n!! Error: %s\n\n', login);
return
end
% Attempt Submission with Challenge
ch_resp = challengeResponse(login, password, ch);
[result, str] = submitSolution(login, ch_resp, thisPartId, ...
output(thisPartId, auxstring), source(thisPartId), signature);
partName = partNames{thisPartId};
fprintf('\n== [ml-class] Submitted Assignment %s - Part %d - %s\n', ...
homework_id(), thisPartId, partName);
fprintf('== %s\n', strtrim(str));
if exist('OCTAVE_VERSION')
fflush(stdout);
end
else
[result] = submitSolutionWeb(login, thisPartId, output(thisPartId), ...
source(thisPartId));
result = base64encode(result);
fprintf('\nSave as submission file [submit_ex%s_part%d.txt (enter to accept default)]:', ...
homework_id(), thisPartId);
saveAsFile = input('', 's');
if (isempty(saveAsFile))
saveAsFile = sprintf('submit_ex%s_part%d.txt', homework_id(), thisPartId);
end
fid = fopen(saveAsFile, 'w');
if (fid)
fwrite(fid, result);
fclose(fid);
fprintf('\nSaved your solutions to %s.\n\n', saveAsFile);
fprintf(['You can now submit your solutions through the web \n' ...
'form in the programming exercises. Select the corresponding \n' ...
'programming exercise to access the form.\n']);
else
fprintf('Unable to save to %s\n\n', saveAsFile);
fprintf(['You can create a submission file by saving the \n' ...
'following text in a file: (press enter to continue)\n\n']);
pause;
fprintf(result);
end
end
end
end
% ================== CONFIGURABLES FOR EACH HOMEWORK ==================
function id = homework_id()
id = '2';
end
function [partNames] = validParts()
partNames = { 'Sigmoid Function ', ...
'Logistic Regression Cost', ...
'Logistic Regression Gradient', ...
'Predict', ...
'Regularized Logistic Regression Cost' ...
'Regularized Logistic Regression Gradient' ...
};
end
function srcs = sources()
% Separated by part
srcs = { { 'sigmoid.m' }, ...
{ 'costFunction.m' }, ...
{ 'costFunction.m' }, ...
{ 'predict.m' }, ...
{ 'costFunctionReg.m' }, ...
{ 'costFunctionReg.m' } };
end
function out = output(partId, auxstring)
% Random Test Cases
X = [ones(20,1) (exp(1) * sin(1:1:20))' (exp(0.5) * cos(1:1:20))'];
y = sin(X(:,1) + X(:,2)) > 0;
if partId == 1
out = sprintf('%0.5f ', sigmoid(X));
elseif partId == 2
out = sprintf('%0.5f ', costFunction([0.25 0.5 -0.5]', X, y));
elseif partId == 3
[cost, grad] = costFunction([0.25 0.5 -0.5]', X, y);
out = sprintf('%0.5f ', grad);
elseif partId == 4
out = sprintf('%0.5f ', predict([0.25 0.5 -0.5]', X));
elseif partId == 5
out = sprintf('%0.5f ', costFunctionReg([0.25 0.5 -0.5]', X, y, 0.1));
elseif partId == 6
[cost, grad] = costFunctionReg([0.25 0.5 -0.5]', X, y, 0.1);
out = sprintf('%0.5f ', grad);
end
end
% ====================== SERVER CONFIGURATION ===========================
% ***************** REMOVE -staging WHEN YOU DEPLOY *********************
function url = site_url()
url = 'http://class.coursera.org/ml-007';
end
function url = challenge_url()
url = [site_url() '/assignment/challenge'];
end
function url = submit_url()
url = [site_url() '/assignment/submit'];
end
% ========================= CHALLENGE HELPERS =========================
function src = source(partId)
src = '';
src_files = sources();
if partId <= numel(src_files)
flist = src_files{partId};
for i = 1:numel(flist)
fid = fopen(flist{i});
if (fid == -1)
error('Error opening %s (is it missing?)', flist{i});
end
line = fgets(fid);
while ischar(line)
src = [src line];
line = fgets(fid);
end
fclose(fid);
src = [src '||||||||'];
end
end
end
function ret = isValidPartId(partId)
partNames = validParts();
ret = (~isempty(partId)) && (partId >= 1) && (partId <= numel(partNames) + 1);
end
function partId = promptPart()
fprintf('== Select which part(s) to submit:\n');
partNames = validParts();
srcFiles = sources();
for i = 1:numel(partNames)
fprintf('== %d) %s [', i, partNames{i});
fprintf(' %s ', srcFiles{i}{:});
fprintf(']\n');
end
fprintf('== %d) All of the above \n==\nEnter your choice [1-%d]: ', ...
numel(partNames) + 1, numel(partNames) + 1);
selPart = input('', 's');
partId = str2num(selPart);
if ~isValidPartId(partId)
partId = -1;
end
end
function [email,ch,signature,auxstring] = getChallenge(email, part)
str = urlread(challenge_url(), 'post', {'email_address', email, 'assignment_part_sid', [homework_id() '-' num2str(part)], 'response_encoding', 'delim'});
str = strtrim(str);
r = struct;
while(numel(str) > 0)
[f, str] = strtok (str, '|');
[v, str] = strtok (str, '|');
r = setfield(r, f, v);
end
email = getfield(r, 'email_address');
ch = getfield(r, 'challenge_key');
signature = getfield(r, 'state');
auxstring = getfield(r, 'challenge_aux_data');
end
function [result, str] = submitSolutionWeb(email, part, output, source)
result = ['{"assignment_part_sid":"' base64encode([homework_id() '-' num2str(part)], '') '",' ...
'"email_address":"' base64encode(email, '') '",' ...
'"submission":"' base64encode(output, '') '",' ...
'"submission_aux":"' base64encode(source, '') '"' ...
'}'];
str = 'Web-submission';
end
function [result, str] = submitSolution(email, ch_resp, part, output, ...
source, signature)
params = {'assignment_part_sid', [homework_id() '-' num2str(part)], ...
'email_address', email, ...
'submission', base64encode(output, ''), ...
'submission_aux', base64encode(source, ''), ...
'challenge_response', ch_resp, ...
'state', signature};
str = urlread(submit_url(), 'post', params);
% Parse str to read for success / failure
result = 0;
end
% =========================== LOGIN HELPERS ===========================
function [login password] = loginPrompt()
% Prompt for password
[login password] = basicPrompt();
if isempty(login) || isempty(password)
login = []; password = [];
end
end
function [login password] = basicPrompt()
login = input('Login (Email address): ', 's');
password = input('Password: ', 's');
end
function [login password] = quickLogin(login,password)
disp(['You are currently logged in as ' login '.']);
cont_token = input('Is this you? (y/n - type n to reenter password)','s');
if(isempty(cont_token) || cont_token(1)=='Y'||cont_token(1)=='y')
return;
else
[login password] = loginPrompt();
end
end
function [str] = challengeResponse(email, passwd, challenge)
str = sha1([challenge passwd]);
end
% =============================== SHA-1 ================================
function hash = sha1(str)
% Initialize variables
h0 = uint32(1732584193);
h1 = uint32(4023233417);
h2 = uint32(2562383102);
h3 = uint32(271733878);
h4 = uint32(3285377520);
% Convert to word array
strlen = numel(str);
% Break string into chars and append the bit 1 to the message
mC = [double(str) 128];
mC = [mC zeros(1, 4-mod(numel(mC), 4), 'uint8')];
numB = strlen * 8;
if exist('idivide')
numC = idivide(uint32(numB + 65), 512, 'ceil');
else
numC = ceil(double(numB + 65)/512);
end
numW = numC * 16;
mW = zeros(numW, 1, 'uint32');
idx = 1;
for i = 1:4:strlen + 1
mW(idx) = bitor(bitor(bitor( ...
bitshift(uint32(mC(i)), 24), ...
bitshift(uint32(mC(i+1)), 16)), ...
bitshift(uint32(mC(i+2)), 8)), ...
uint32(mC(i+3)));
idx = idx + 1;
end
% Append length of message
mW(numW - 1) = uint32(bitshift(uint64(numB), -32));
mW(numW) = uint32(bitshift(bitshift(uint64(numB), 32), -32));
% Process the message in successive 512-bit chs
for cId = 1 : double(numC)
cSt = (cId - 1) * 16 + 1;
cEnd = cId * 16;
ch = mW(cSt : cEnd);
% Extend the sixteen 32-bit words into eighty 32-bit words
for j = 17 : 80
ch(j) = ch(j - 3);
ch(j) = bitxor(ch(j), ch(j - 8));
ch(j) = bitxor(ch(j), ch(j - 14));
ch(j) = bitxor(ch(j), ch(j - 16));
ch(j) = bitrotate(ch(j), 1);
end
% Initialize hash value for this ch
a = h0;
b = h1;
c = h2;
d = h3;
e = h4;
% Main loop
for i = 1 : 80
if(i >= 1 && i <= 20)
f = bitor(bitand(b, c), bitand(bitcmp(b), d));
k = uint32(1518500249);
elseif(i >= 21 && i <= 40)
f = bitxor(bitxor(b, c), d);
k = uint32(1859775393);
elseif(i >= 41 && i <= 60)
f = bitor(bitor(bitand(b, c), bitand(b, d)), bitand(c, d));
k = uint32(2400959708);
elseif(i >= 61 && i <= 80)
f = bitxor(bitxor(b, c), d);
k = uint32(3395469782);
end
t = bitrotate(a, 5);
t = bitadd(t, f);
t = bitadd(t, e);
t = bitadd(t, k);
t = bitadd(t, ch(i));
e = d;
d = c;
c = bitrotate(b, 30);
b = a;
a = t;
end
h0 = bitadd(h0, a);
h1 = bitadd(h1, b);
h2 = bitadd(h2, c);
h3 = bitadd(h3, d);
h4 = bitadd(h4, e);
end
hash = reshape(dec2hex(double([h0 h1 h2 h3 h4]), 8)', [1 40]);
hash = lower(hash);
end
function ret = bitadd(iA, iB)
ret = double(iA) + double(iB);
ret = bitset(ret, 33, 0);
ret = uint32(ret);
end
function ret = bitrotate(iA, places)
t = bitshift(iA, places - 32);
ret = bitshift(iA, places);
ret = bitor(ret, t);
end
% =========================== Base64 Encoder ============================
% Thanks to Peter John Acklam
%
function y = base64encode(x, eol)
%BASE64ENCODE Perform base64 encoding on a string.
%
% BASE64ENCODE(STR, EOL) encode the given string STR. EOL is the line ending
% sequence to use; it is optional and defaults to '\n' (ASCII decimal 10).
% The returned encoded string is broken into lines of no more than 76
% characters each, and each line will end with EOL unless it is empty. Let
% EOL be empty if you do not want the encoded string broken into lines.
%
% STR and EOL don't have to be strings (i.e., char arrays). The only
% requirement is that they are vectors containing values in the range 0-255.
%
% This function may be used to encode strings into the Base64 encoding
% specified in RFC 2045 - MIME (Multipurpose Internet Mail Extensions). The
% Base64 encoding is designed to represent arbitrary sequences of octets in a
% form that need not be humanly readable. A 65-character subset
% ([A-Za-z0-9+/=]) of US-ASCII is used, enabling 6 bits to be represented per
% printable character.
%
% Examples
% --------
%
% If you want to encode a large file, you should encode it in chunks that are
% a multiple of 57 bytes. This ensures that the base64 lines line up and
% that you do not end up with padding in the middle. 57 bytes of data fills
% one complete base64 line (76 == 57*4/3):
%
% If ifid and ofid are two file identifiers opened for reading and writing,
% respectively, then you can base64 encode the data with
%
% while ~feof(ifid)
% fwrite(ofid, base64encode(fread(ifid, 60*57)));
% end
%
% or, if you have enough memory,
%
% fwrite(ofid, base64encode(fread(ifid)));
%
% See also BASE64DECODE.
% Author: Peter John Acklam
% Time-stamp: 2004-02-03 21:36:56 +0100
% E-mail: pjacklam@online.no
% URL: http://home.online.no/~pjacklam
if isnumeric(x)
x = num2str(x);
end
% make sure we have the EOL value
if nargin < 2
eol = sprintf('\n');
else
if sum(size(eol) > 1) > 1
error('EOL must be a vector.');
end
if any(eol(:) > 255)
error('EOL can not contain values larger than 255.');
end
end
if sum(size(x) > 1) > 1
error('STR must be a vector.');
end
x = uint8(x);
eol = uint8(eol);
ndbytes = length(x); % number of decoded bytes
nchunks = ceil(ndbytes / 3); % number of chunks/groups
nebytes = 4 * nchunks; % number of encoded bytes
% add padding if necessary, to make the length of x a multiple of 3
if rem(ndbytes, 3)
x(end+1 : 3*nchunks) = 0;
end
x = reshape(x, [3, nchunks]); % reshape the data
y = repmat(uint8(0), 4, nchunks); % for the encoded data
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Split up every 3 bytes into 4 pieces
%
% aaaaaabb bbbbcccc ccdddddd
%
% to form
%
% 00aaaaaa 00bbbbbb 00cccccc 00dddddd
%
y(1,:) = bitshift(x(1,:), -2); % 6 highest bits of x(1,:)
y(2,:) = bitshift(bitand(x(1,:), 3), 4); % 2 lowest bits of x(1,:)
y(2,:) = bitor(y(2,:), bitshift(x(2,:), -4)); % 4 highest bits of x(2,:)
y(3,:) = bitshift(bitand(x(2,:), 15), 2); % 4 lowest bits of x(2,:)
y(3,:) = bitor(y(3,:), bitshift(x(3,:), -6)); % 2 highest bits of x(3,:)
y(4,:) = bitand(x(3,:), 63); % 6 lowest bits of x(3,:)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Now perform the following mapping
%
% 0 - 25 -> A-Z
% 26 - 51 -> a-z
% 52 - 61 -> 0-9
% 62 -> +
% 63 -> /
%
% We could use a mapping vector like
%
% ['A':'Z', 'a':'z', '0':'9', '+/']
%
% but that would require an index vector of class double.
%
z = repmat(uint8(0), size(y));
i = y <= 25; z(i) = 'A' + double(y(i));
i = 26 <= y & y <= 51; z(i) = 'a' - 26 + double(y(i));
i = 52 <= y & y <= 61; z(i) = '0' - 52 + double(y(i));
i = y == 62; z(i) = '+';
i = y == 63; z(i) = '/';
y = z;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Add padding if necessary.
%
npbytes = 3 * nchunks - ndbytes; % number of padding bytes
if npbytes
y(end-npbytes+1 : end) = '='; % '=' is used for padding
end
if isempty(eol)
% reshape to a row vector
y = reshape(y, [1, nebytes]);
else
nlines = ceil(nebytes / 76); % number of lines
neolbytes = length(eol); % number of bytes in eol string
% pad data so it becomes a multiple of 76 elements
y = [y(:) ; zeros(76 * nlines - numel(y), 1)];
y(nebytes + 1 : 76 * nlines) = 0;
y = reshape(y, 76, nlines);
% insert eol strings
eol = eol(:);
y(end + 1 : end + neolbytes, :) = eol(:, ones(1, nlines));
% remove padding, but keep the last eol string
m = nebytes + neolbytes * (nlines - 1);
n = (76+neolbytes)*nlines - neolbytes;
y(m+1 : n) = '';
% extract and reshape to row vector
y = reshape(y, 1, m+neolbytes);
end
% output is a character array
y = char(y);
end

@ -0,0 +1,20 @@
% submitWeb Creates files from your code and output for web submission.
%
% If the submit function does not work for you, use the web-submission mechanism.
% Call this function to produce a file for the part you wish to submit. Then,
% submit the file to the class servers using the "Web Submission" button on the
% Programming Exercises page on the course website.
%
% You should call this function without arguments (submitWeb), to receive
% an interactive prompt for submission; optionally you can call it with the partID
% if you so wish. Make sure your working directory is set to the directory
% containing the submitWeb.m file and your assignment files.
function submitWeb(partId)
if ~exist('partId', 'var') || isempty(partId)
partId = [];
end
submit(partId, 1);
end