  The elliptic, $v_2$, triangular, $v_3$, and quadrangular, $v_4$, azimuthal
anisotropic flow coefficients are measured for unidentified charged particles,
pions and (anti-)protons in Pb-Pb collisions at $\sqrt{s_{\rm NN}} = 2.76$ TeV
with the ALICE detector at the Large Hadron Collider. Results obtained with the
event plane and four-particle cumulant methods are reported for the
pseudo-rapidity range $|\eta|<0.8$ at different collision centralities and as a
function of transverse momentum, $p_{\rm T}$, out to $p_{\rm T}=20$ GeV/$c$.
The observed non-zero elliptic and triangular flow depends only weakly on
transverse momentum for $p_{\rm T}>8$ GeV/$c$. The small $p_{\rm T}$ dependence
of the difference between elliptic flow results obtained from the event plane
and four-particle cumulant methods suggests a common origin of flow
fluctuations up to $p_{\rm T}=8$ GeV/$c$. The magnitude of the (anti-)proton
elliptic and triangular flow is larger than that of pions out to at least
$p_{\rm T}=8$ GeV/$c$ indicating that the particle type dependence persists out
to high $p_{\rm T}$.
