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Trying to measure small currents with a 1 Ohm (for currents up to 80 mA) or a 10 Ohm (for currents up to 4 mA) shunt resistor I created new calibration functions, following the instructions in the code comments and in the INA219 datasheet but they were all wrong.
For example, following the instructions I ended up using a calibration factor of 41, that resulted in very poor resolution.
So, I would consider that the instructions are confusing, and I rewrote them.
As you can see, the logic I propose is very different:
Please check if the code works well also in other cases (I checked only the last two functions with shunt resistors of 1 and 10 Ohm and for currents far from the saturation ones).