Accurate future location shot finder

[Perg]

I was trying to buid something that predicts where it should shoot to hit the enemy, i have tried using a simple script that looked like this

var i = instance_nearest;
var di = point_direction(x,y,i.x,i.y);
var dist = point_distance(x,y,i.x,i.y);
time = dist/bulletspeed;
alpha = i.direction - di;
beta = darcsin(dsin(alpha));
final = di + beta;

(i'm not sure if this will work)
but it was innacure especially at long ranges and low bullet speeds
so i decided to make it myself and after some thinking i have got this beautiful paint cauculations

and after some more time and cauculations i present you my script

function scr_accurateshot(target,bulletspeed){
    var di = point_direction(x,y,target.x,target.y);
    var dist = point_distance(x,y,target.x,target.y);
    var alpha = target.direction - di;
   
    var a = sqr(target.speed) - sqr(bulletspeed);
    var b = -2*dist*target.speed*dcos(alpha);
    var c = sqr(dist);
   
    var falsedelta = sqr(b) - (4*a*c);
   
    if sign(falsedelta) != -1{
    var time = (-b-sqrt(falsedelta))/(2*a);}
   
    var delta = target.speed*time
    var beta = bulletspeed*time
    var delto = darcsin(dsin(alpha)*delta/beta);
    var final = di + delto;
    return final;
}

 

[Slow Fingers]

FIY, this site is a good place to find scripts like these
GMLscripts.com :: intercept_course

 

[Perg]

FIY, this site is a good place to find scripts like these
GMLscripts.com :: intercept_course

i have tried this script but as i said when you are too far or the bullet is too slow the shot will miss because it considers that beta = dist
but anyway thank you, i'm going to upload it there
edit: there it is clean https://www.gmlscripts.com/forums/viewtopic.php?pid=4596#p4596