Emulate PS4 controller with a 360 controller?

well then

First, you gotta disable Windows 10 driver signature thingy.

Press Start
Click on Power
Hold down Shift and press Restart
Navigate to Troubleshoot -> Advanced options -> Startup Settings and press Restart
Wait for Windows to restart and when prompted press 7 for Disable driver signature enforcement and wait for Windows to come up

Then you run the XBCD Drivers as administrator, these are mine.

Restart

Then you go to Device Manager, search it with the "Search Windows" Button next to Start, if you dont know how to get there.
There it should be the Xbox 360 Controller, named Xbox 360 Controller for Windows or something like that.
Right click on it -> Update Driver Software -> Browse my Computer.... -> Let me pick from a List of device drivers...
And there it should be the Drivers, named XBCD Xbox 360 Controller.
Select them, next, youll get a warnning about installing unsigned software or something dont worry, let it continue.

Restart

And on your "All Apps" list on start, there at the end there should be a XBCD Folder, Run the Setup Utility and load the xgi file i put in the rar, its my calibration setting i feel they work great, you can calibrate them yourself, but keep in mind the XBCD UI its kind off bugged since Windows 7 so it wont perfectly show your inputs, but the driver works fine.

And thats it, now your 360 controller is working on Direct Input, the Xbox ONE Controller is not compatible with Direct Input and it wont work with this guide.
Most games wont reconize your controller as a 360 Controller and pick it right away, you might even have to emulate them with XInputTest or something like that, i have setting for that too if you want them.
Advantages of DirectInput are simple, its much more precise as it works with the direct values rather than the aproximated values XInput uses, wich is not that big of an advantage as most games dont require you to be precise, offcourse not they are using a controller.

Good luck.