Can't get PyAutoGUI coordinates correctly on MacBook Pro?

Doesn't work

I tried to click the icon in the Dock of MacBook Pro (15-inch, 2018) with Python + PyAutoGUI, but when I wrote this code, it didn't work.

click.py

import pyautogui as pag

position = pag.locateCenterOnScreen('target_app.png', confidence=0.9)
pag.click(position)

• Target_app.png is a screenshot of the Dock icon.

The Dock snaps for a moment and the target application doesn't start.

When I checked the coordinates of the icon position of the Dock, I noticed that the value obtained by locateCenterOnScreen and the value obtained by hovering the mouse over the icon and position () are completely different.

** Value obtained by locateCenterOnScreen ** 　x=3046, y=2335　

** Mouse cursor value obtained with pyautogui.position () ** 　x=1517, y=1169　

Is the resolution of the Retina display relevant?

Since both x and y are about half the values, I thought that the resolution of the Retina display was related, so I passed the values ​​obtained by halving each to click ().

click.py

import pyautogui as pag

x,y = pag.locateCenterOnScreen('target_app.png', confidence=0.9)
pag.click(x/2, y/2)

bingo. You can now click the icon on the Dock to launch the application.