The iPhone 5s has been widely reported to have bad compass and level readings. According to RealityCap, the issue could be caused due to a switch in suppliers for the accelerometer in the iPhone 5s.
The iPhone 5 doesn't seem to suffer from the issues the iPhone 5s is when it comes to inaccurate compass and level readings. The accelerometer for the iPhone 5 was supplied by STMicroelectronics. The iPhone 5s' part was revealed to be a Sensortech BMA220, which is made by Bosch.
It isn't so much that the supplier itself is the issue, but more that the tolerance levels and what each accelerometer is considering to be an acceptable 'zero-g offset'.
According to RealityCap, the issue could be solved with software on Apple's part but for now individual developers can compensate inside their apps.
A fix from Apple would be the best solution since it would solve problems going forward in which developers don't compensate for the differences in tolerance levels. It will be interesting to see if Apple responds to the issues with a software update for the iPhone 5s.
Source: MacRumors via RealityCap
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