  The past 10 years have seen tremendous progress in our capability of testing
General Relativity in the strong field regime with black hole observations. 10
years ago, the theory of General Relativity was almost completely unexplored in
the strong field regime. Today, we have gravitational wave data of the
coalescence of stellar-mass black holes, radio images of the supermassive black
holes SgrA$^*$ and M87$^*$, and high-quality X-ray data of stellar-mass black
holes in X-ray binaries and supermassive black holes in active galactic nuclei.
In this manuscript, we will review current efforts to test General Relativity
with black hole X-ray data and we will provide a detailed description of the
public codes available on ABHModels.
