The HT profile is given in Eqs. ( ),( ), in arXiv, and it contains seven parameters. According to Table , the HTP profile can be reduced to Voigt, Rautian, speed-dependent Voigt and speed-dependent Rautian functions. Let us stress, however, that we must calculate the complex Voigt integrals (with error function, see Eq. 6 in the arXiv article) by numerical methods and therefore we need to refer to some related models. Voigt and complex error functions and related computational methods have been discussed by .