Both PS4 and Xbox one have basically the same AMD APU but Microsoft ripped out rendering pipelines and graphic compute units so they could fit in 32MB of embedded memory so they could use cheaper DDR memory.
Surely apart from the xbox one being a weaker gpu in power the feature set of both gpu's are going to be the same.
Don't understand why a software layer of Direct X is a positive. I'm sure both Microsoft and Sony are keen to use AMD's API's that utilise the hardware at the lowest possible level for maximum performance. Microsoft may believe the 'Direct X' brand is a selling point and implies a level of graphic power but like the cloud doesn't really mean anything in real terms of performance.
Again we are back to the truth that the ps4 is more powerful, more gpu compute power, more rendering units, higher memory bandwidth offering a significant increase in power. At least 50% possible more.








