       var b2 = solver_1_eq_2[2];
            var x = client_to_x(client_x);
            var y = client_to_y(client_y);
            var x1 = projected_x(x, y, a11, a12, b1);
            var y1 = projected_y(x, y, a11, a12, b1);
            var x2 = projected_x(x, y, a21, a22, b2);
            var y2 = projected_y(x, y, a21, a22, b2);
            var d1 = length_of(x-x1, y-y1);
            var d2 = length_of(x-x2, y-y2);
            if(d1<d2){
                temp_end_step_length = d1;
            }else{
   