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Analogous to the classical topological entropy, one can associate the localized entropy ${\\mathcal H}(w)$ to each $w\\in {\\rm Rot}(\\Phi)$. In this paper, we study the computability of rotation sets and localized entropy functions by deriving conditions that imply their computability. 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Analogous to the classical topological entropy, one can associate the localized entropy ${\\mathcal H}(w)$ to each $w\\in {\\rm Rot}(\\Phi)$. In this paper, we study the computability of rotation sets and localized entropy functions by deriving conditions that imply their computability. 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