Counting up forever in int and float

A loop adds $1$ to a variable over and over and you plot the value against the iteration count. Describe the plot when the variable is an int, and when it is a float.

The int climbs linearly then wraps to a large negative value; the float climbs then flattens at $2^{24}$. A 32-bit signed int overflows after $2^{31}-1$ (formally undefined behaviour, in practice wrapping to $-2^{31}$), giving a sawtooth. A single-precision float has a 24-bit significand, so at $16{,}777{,}216$ adding $1$ rounds back to the same number and the line goes flat.