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import graph;
size(300,IgnoreAspect);
bool3 branch(real x)
{
static int lastsign=0;
if(x <= 0 && x == floor(x)) return false;
int sign=sgn(gamma(x));
bool b=lastsign == 0 || sign == lastsign;
lastsign=sign;
return b ? true : default;
}
draw(graph(gamma,-4,4,n=2000,branch),red);
scale(false);
xlimits(-4,4);
ylimits(-6,6);
crop();
xaxis("$x$",RightTicks(NoZero));
yaxis(LeftTicks(NoZero));
label("$\Gamma(x)$",(1,2),red);
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