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ForwardAllKinematics.m
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function ForwardAllKinematics(j)
global uLINK G
if j == 0 return; end
if j ~= 1
mom = uLINK(j).mother;
% position and orientation
uLINK(j).p = uLINK(mom).R * uLINK(j).b + uLINK(mom).p;
uLINK(j).R = uLINK(mom).R * Rodrigues(uLINK(j).a, uLINK(j).q);
% spatial velocity
hw = uLINK(mom).R * uLINK(j).a; % axis vector in world frame
hv = cross(uLINK(j).p, hw); % p_i x axis
uLINK(j).hw = hw; % store h1 and h2 for future use
uLINK(j).hv = hv;
uLINK(j).w = uLINK(mom).w + hw * uLINK(j).dq;
uLINK(j).vo = uLINK(mom).vo + hv * uLINK(j).dq;
% spatial acceleration
dhv = cross(uLINK(mom).w, hv) + cross(uLINK(mom).vo, hw);
dhw = cross(uLINK(mom).w, hw);
uLINK(j).dw = uLINK(mom).dw + dhw * uLINK(j).dq + hw * uLINK(j).ddq;
uLINK(j).dvo = uLINK(mom).dvo + dhv * uLINK(j).dq + hv * uLINK(j).ddq;
end
ForwardAllKinematics(uLINK(j).sister);
ForwardAllKinematics(uLINK(j).child);