Update.
I could compare the P330 over a few days with the S110 and can not share the good enthusiasm for the S110.
When it comes to the pure image quality, can see the Canon forward no serious test.
The P330 shows much more details and also obviously the better lens. I also had the impression that the Canon with the ISO specifications rather cheat, with the same aperture and ISO Canon has always needed longer exposure times. If, in both ISO 1600, the images of the S110 are less noise, but at the cost of details, a similar result is obtained with the P330 High noise reduction.
It is positive that the Canon is a bit smaller and thinner, the lens ring is fiddly for me to use and provides no advantage for me is, I've touchscreen disabled bothers more than that it helps.
Would only resort to the S110, when it must be umbedingt Wifi and touch screen, not because of the image quality.