User blog comment:Vel!/Piecewise Puzzle/@comment-32164487-20170531172958

Let $\lfloor x\rfloor $ denote the greatest integer strictly less than $x$ Define the function $w(x)$ as follows. Seems informally clear that $w$ is FIPC CAMF. A picture is attached.

$r(x)=\lfloor x\rfloor\lfloor -x\rfloor $

$s(x)=\lfloor x\rfloor\lfloor x\rfloor = \lfloor x\rfloor^2$

$t(x)=-s(x+1)+1$

$u(x)=t(x)-r(x)$

$v(x) = u(-(x+1))$

$w(x) = u(x)v(x)$