After some research I found out that solution is much simpler than I thought.
Here it is:
/**
* Color matrix that flips the components (<code>-1.0f * c + 255 = 255 - c</code>)
* and keeps the alpha intact.
*/
private static final float[] NEGATIVE = {
-1.0f, 0, 0, 0, 255, // red
0, -1.0f, 0, 0, 255, // green
0, 0, -1.0f, 0, 255, // blue
0, 0, 0, 1.0f, 0 // alpha
};
drawable.setColorFilter(new ColorMatrixColorFilter(NEGATIVE));
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