Is there a systematic/standard way of extracting the nef cone of a toric variety $X$ from its fan (or polytope)? Can I tell from the basis of $A^1(X)$ induced by the one-skeleton, based on coefficients, when a given divisor class is nef?

In particular I am working working with blowups of $\mathbb{P}^n$. I am uncertain if that extra piece of information helps.

I imagine that the answer to my question is yes, but I havent yet found a place where this is cleanly articulated.

Thanks in advance.