Generate next largest or smallest representable floating point number without bit twiddling

Question

Given an arbitrary finite floating point number, is there a way to determine what the next representable floating point number? For example, given 1.0f, by definition the ne

Answer 1

int exponent;
significand= frexp(number, &exponent);
significand+= epsilon;
next= ldexp(significand, exponent);

What this does is extract the mantissa, increment it by the floating point epsilon, then rebuild the floating point number. That should be the next representable number you would get by fiddling with the bits of the mantissa (and exponent on mantissa overflow).