If torture is punishment for not providing information, I would think that the cruelness and unusualness of the punishment would depend heavily on the nature of the information withheld. Looking back through human history, torture is not that unusual in many of these situations. If it has to be both cruel and unusual, then I can see an argument that torture is constitutional in some settings.
That said, the thought makes me uneasy.
"Men did not make the earth ... it is the value of the improvement only, and not the earth itself, that is individual property... Every proprietor owes to the community a ground rent for the land which he holds." -- Thomas Paine, Agrarian Justice
"A democracy cannot exist as a permanent form of government. It can only exist until the majority discovers it can vote itself largess out of the public treasury." Attributed to Alexander Tytler