Comparisons of HIMF (top row) and H₂MF (bottom row) between NUM model and TNG100 for z = 0 (left panels), z = 1 (middle panels), and z = 2 (right panels). We add observational measurements of HIMF in Guo et al. (2023) and H₂MF in Fletcher et al. (2021) at z = 0 for reference in the top left panel and bottom left panel, respectively; these are shown as black dots with error bars. NUM model and TNG100 results are represented by solid and dashed lines, while the results of different distances to filaments are shown by different colours: black for all galaxies, blue for 0 < d_fil/h⁻¹ Mpc < 4, orange for 4 < d_fil/h⁻¹ Mpc < 8, and red for 8 < d_fil/h⁻¹ Mpc < 12.