int isGreater$($int x$,$ int y$)\{$

int signx $=($x $>>31)$ & $1$;

int signy $=($y $>>31)$ & $1$;

int sameVal $=$ x $^$ y;

int sameSign $=($signx $^$ signy$)$;

int signDifference $=($x $+($~y $+1))>>31)$ & $1)/*$is difference between x and y pos or ned $*/$

return $($signDifference & $!$sameSign$)|((!$sameVal$)$ & $($sameSign $|$ signDifference$))$;

$\}$

$*$isGreater $-$ if x $>$ y then return $1,$ else return $0$

$*$Example: isGreater$(4,5)=0,$ isGreater$(5,4)=1$

dont use any operations besides $!$ ~ & $^|+<<>>$

use a maximum of $24$ operations total

My function is not handling the case isGreater $(-2147483648[0$x$80000000],-2147483648[0$x$80000000])$ or $(-2147483648[0$x$80000000],2147483648[0$x$80000000])$ correctly. How could I modify it and what am I missing?