The White Dwarf Luminosity Functions from the Pan-STARRS 1 3{\pi}
  Steradian Survey
  A large sample of white dwarfs is selected by both proper motion and colours
from the Pan-STARRS 1 3{\pi} Steradian Survey Processing Version 2 to construct
the White Dwarf Luminosity Functions of the discs and halo in the solar
neighbourhood. Four-parameter astrometric solutions were recomputed from the
epoch data. The generalised maximum volume method is then used to calculate the
density of the populations. After removal of crowded areas near the Galactic
plane and centre, the final sky area used by this work is 7.833 sr, which is
83% of the 3{\pi} sky and 62% of the whole sky. By dividing the sky using
Voronoi tessellation, photometric and astrometric uncertainties are recomputed
at each step of the integration to improve the accuracy of the maximum volume.
Interstellar reddening is considered throughout the work. We find a
disc-to-halo white dwarf ratio of about 100.
