coordinates transformer

xy.java

class Point{
    final double x,y;
    Point(a,b){
        x=a;
        y=b;
}

.......

//transformx lat,lon to unit circle with hard limit
Point[] transform(Point[] points, Point center, double maxMeters){
    final int n = points.length;
    double maxLog = Math.log(maxMeters);
    Point[] q = new Point[n];
    for(int i=0; i<n; i++){
        double x = (points[i].x - center.x) * 111319; //to distance in meters
        double y = (points[i].y - center.y) * 111319;
        
        double r = Math.hypot(x,y);
        double phi = Math.atan(y/x);
        
        if(r>maxMeters) r = maxMeters;
        r = Math.log(r+1)
        r /= maxLog;
        
        x = r*Math.cos(phi);
        y = r*Math.sin(phi);
        q[i] = new Point(x,y);
    }
}