location = 0; % set whatever Laplacian parameters you want.
scale = 1;
lower_limit = 0; % set whatever boundaries you want
upper_limit = 0.5;
trunc_lap = TruncatedX(Laplace(location,scale),lower_limit,upper_limit); % make the truncated distribution
r = trunc_lap.Random(1000,1); % generate a sample of random numbers
histogram(r); % view the random sample
The Laplace pdf and cdf are pretty simple so there is probably a more direct route if you want to work out the math.
