import graph_pi;

unitsize(x=3cm,y=3cm);
// All marks will have this size. Default=sqrt(2)*dotsize(currentpen);
graphmarksize=4mm;

real f(real x){return sin(x);};
path Cf=graph(f, .5, 2);
transform T=shift((0,-.5));
// ---------------------------------
// * definition of ArcMarkerExtrem *
// marker ArcMarkerExtrem(real radius=graphmarksize(), real angle=180,
//                        bool begin=true, bool end=true,
//                        pen p=currentpen, bool put=Above)

draw(Cf, ArcMarkerExtrem());
draw(T*Cf, red, ArcMarkerExtrem(angle=270, begin=false));
draw(T^2*Cf, blue, ArcMarkerExtrem(radius=-graphmarksize, blue));

// ----------------------------------
// * Definition of Hookmarkerextrem *
// marker HookMarkerExtrem(real height=graphmarksize(), real width=height/2,
//                         bool begin=true, bool end=true,
//                         pen p=currentpen, bool put=Above)

draw(T^3*Cf,HookMarkerExtrem);//Without brackets values returns to default
draw(T^4*Cf, green, HookMarkerExtrem(height=2*graphmarksize, width=-graphmarksize*2,green));

// ------------------------------------
// * Definition of CircleMarkerExtrem *
// marker CircleMarkerExtrem(real radius=graphmarksize(), real angle=90,
//                           bool begin=true, bool end=true,
//                           pen p=currentpen, filltype filltype=NoFill,
//                           bool put=Above)

draw(T^5*Cf, green, CircleMarkerExtrem(green));
draw(T^6*Cf, green+blue, CircleMarkerExtrem(radius=graphmarksize,filltype=FillDraw(blue),p=2mm+green+blue));