The reason of considering BHandHLYP-D3(BJ) is that it shows insignificant selfinteraction error (SIE) problem due to large (50%) HF exact exchange composition and thus useful in sobEDAw analysis to deal with the systems sensitive to SIE. The TPSSh-D3(BJ) with 10 % HF composition is a good choice for transition metal systems. The GGA functional BLYP-D3(BJ) and meta-GGA functional TPSS-D3(BJ) may be used for sobEDAw when pure functional is favorable due to computational efficiency consideration. We do no take additional popular functionals such as PBE, PBE0, and M06-2X into account in this work. On the one hand, the functionals examined above are already sufficient to cover almost all research scenarios about weak interactions. On the other hand, as mentioned earlier, these functionals have obvious ability to describe dispersion effect, and thus are not suitable for combining with sobEDAw.