How do you check for infinite and indeterminate values in C++?

Question

In my programs infinity usually arises when a value is divided by zero. I get indeterminate when I divide zero by zero. How do you check for infinite and indeterminate value

Answer 1

if (x!=x)              ... then x is nan
if (x>0 && x/x != x/x) ... then x is +inf
if (x<0 && x/x != x/x) ... then x is -inf

this might also work (but involves call to exp() and testing equality of doubles):

if (exp(-x)==0.) ... then x is inf
if (exp(x)==0.)  ... then x is -inf