Three different 1 /V_max estimates of the COSMOS2015 galaxy SMF, from z = 0.2 to 4. The estimates are derived from: A K_s-selected sample using the official SED fitting from L16 (squares); a [3.6]-selected sample that also relies on z_phot,L16 and ℳ of L16 (triangles); the high-z[3.6]-selected sample presented in this paper (circles). Active and passive galaxies, classified in Sect. 4.3 by means of (NUV−r) and (r−J) colours, are shown with blue and red symbols, respectively. The SMFs used in Sect. 6 to discuss ~10 billion years of galaxy evolution are shown with filled symbols, while smaller empty symbols are used in the z-bins where the reference SMF changed. In each bin, Schechter functions (solid lines, same colours for total, active, and passive galaxies) fit the data points of the reference sample (i.e. the filled symbols). We also plot the Schechter functions fitting the SMF of UltraVISTA DR1 galaxies (Ilbert et al. 2013) with dotted lines. All the fits are corrected for the Eddington bias.