function [z,idf]= get_observations(x, lm, idf, rmax)

[lm,idf]= get_visible_landmarks(x,lm,idf,rmax);
z= compute_range_bearing(x,lm);

%
%

function [lm,idf]= get_visible_landmarks(x,lm,idf,rmax)
% Select set of landmarks that are visible within vehicle's semi-circular field-of-view
dx= lm(1,:) - x(1);
dy= lm(2,:) - x(2);
phi= x(3);

% incremental tests for bounding semi-circle
ii= find(abs(dx) < rmax & abs(dy) < rmax ... % bounding box
      & (dx*cos(phi) + dy*sin(phi)) > 0 ...  % bounding line
      & (dx.^2 + dy.^2) < rmax^2);           % bounding circle
% Note: the bounding box test is unnecessary but illustrates a possible speedup technique
% as it quickly eliminates distant points. Ordering the landmark set would make this operation
% O(logN) rather that O(N).
  
lm= lm(:,ii);
idf= idf(ii);

%
%

function z= compute_range_bearing(x,lm)
% Compute exact observation
dx= lm(1,:) - x(1);
dy= lm(2,:) - x(2);
phi= x(3);
z= [sqrt(dx.^2 + dy.^2);
    atan2(dy,dx) - phi];