Hello,
Is it possible to turn off Construct's sub-pixel calculations? Should I just round the values every tick for the relevant objects?
If you mean for rendering, then the project Properties bar does support Pixel rounding (change from Off to On). However, for calculations I believe you'll have to use rounding via ceil(your value), floor(your value), or round(your value).
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Does this have any side-effects? For example differences in different resolutions?
The pixel rounding at render? I don't believe so, all it does is stop things from rendering at sub-pixel amounts by rounding to nearest whole pixel.