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[p, q] = get_products();
% quantity sum over a day
%plot(sum(q'));
train_data = q( 1:28, :);
real_data = q(29:42, :);
mean_data = mean_pred(train_data, 14);
regress_data = regress_pred(p, train_data);
quad_data = quad_regress_pred(p, train_data);
log_data = log_regress_pred(p, train_data);
sevenday_data = repmat(sevenday_pred(train_data, 4), 2, 1);
random_data = rand_pred(train_data, 14);
% plot prediction quallity
calc_error('mean', real_data, mean_data);
calc_error('regress', real_data, regress_data);
% quadratic just for reference, it sucks more than mean-predicition
calc_error('quad reg.', real_data, quad_data);
calc_error('log reg.', real_data, log_data);
calc_error('sevenday', real_data, sevenday_data);
calc_error('random', real_data, random_data);
[q2, removed] = remove_sevenday_frequency(q(1:14, :));
tmp = regress_pred(p([1:14 29:42],:), q2);
tmp = fft(tmp);
%tmp = (tmp .* (removed == 0)) + removed;
tmp = tmp + removed;
tmp = real(ifft(tmp));
calc_error('regress2', q(29:42, :), tmp);
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