import machine 
import utime 
potentiometer = machine.ADC(28)
servo = machine.PWM(machine.Pin(15))
servo.freq(50)

def interval_mapping(x,in_min,in_max,out_min,out_max):
    return (x - in_min) * (out_max - out_min) / (in_max - in_min) + out_min
def servo_write(pin,angle):
    pulse_width = interval_mapping(angle,0,180,0.5,2.5)
    duty = int(interval_mapping(pulse_width,0,20,0,65535))
    pin.duty_u16(duty)
while True:
    value = potentiometer.read_u16()
    angle = interval_mapping(value,0,65535,0,180)
    servo_write(servo,angle)
    utime.sleep_ms(200)