What controls are used instead of the DS4 Touchpad in the PC version?

Solution 1:

The touchscreen controls are replaced by analog joystick/mouse movements in the PC version.

Here's a clip from the PS4 version, showing where the touchscreen controls are used:

And here's an analogous moment from the PC version, where you can see these commands are transformed into joystick prompts:

Those prompts are performed with the right joystick on an XBox controller or by holding the left mouse button and moving the mouse in the correct direction.