"""
Directions identifiers 3D, central position is 14.
niv -1:  1   2  3
         4   5  6
         7   8  9

niv 0:   10 11 12
         13 14 15
         16 17 18

niv 1:   19 20 21
         22 23 24
         25 26 27
"""

directions = (0, 27)
directions_under_level = (0, 9)
directions_same_level = (10, 18)
directions_upper_level = (19, 27)
directions_modifiers = {
  #  (z, x, y)
  1: (-1, -1, -1),
  2: (-1, 0, -1),
  3: (-1, 1, -1),
  4: (-1, -1, 0),
  5: (-1, 0, 0),
  6: (-1, 1, 0),
  7: (-1, -1, 1),
  8: (-1, 0, 1),
  9: (-1, 1, 1),
  #  (z, x, y)
  10: (0, -1, -1),
  11: (0, 0, -1),
  12: (0, 1, -1),
  13: (0, -1, 0),
  14: (0, 0, 0),
  15: (0, 1, 0),
  16: (0, -1, 1),
  17: (0, 0, 1),
  18: (0, 1, 1),
  #  (z, x, y)
  19: (1, -1, -1),
  20: (1, 0, -1),
  21: (1, 1, -1),
  22: (1, -1, 0),
  23: (1, 0, 0),
  24: (1, 1, 0),
  25: (1, -1, 1),
  26: (1, 0, 1),
  27: (1, 1, 1),
}

"""
Directions identifiers 3D, central position is 14.
niv -1:  1   2  3
         4   5  6
         7   8  9

niv 0:   10 11 12
         13 14 15
         16 17 18

niv 1:   19 20 21
         22 23 24
         25 26 27
"""

directions_slighty = {
  1: (1, 2, 4, 13, 10, 11),
  2: (1, 2, 3, 10, 11, 12),
  3: (2, 3, 6, 11, 12, 15),
  4: (1, 4, 7, 10, 13, 16),
  5: (1, 2, 3, 4, 5, 6, 7, 8, 9),
  6: (2, 3, 6, 12, 15, 18),
  7: (4, 7, 8, 13, 16, 17),
  8: (7, 8, 9, 16, 17, 18),
  9: (6, 9, 8, 15, 18, 17),
  #  (z, x, y)
  10: (13, 10, 11),
  11: (10, 11, 12),
  12: (11, 12, 15),
  13: (10, 13, 16),
  14: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27),
  15: (12, 15, 18),
  16: (13, 16, 17),
  17: (16, 17, 18),
  18: (15, 18, 17),
  #  (z, x, y)
  19: (22, 19, 20, 13, 10, 11),
  20: (19, 20, 21, 10, 11, 12),
  21: (20, 21, 24, 11, 12, 15),
  22: (19, 22, 25, 10, 13, 16),
  23: (19, 20, 21, 22, 23, 24, 25, 26, 27),
  24: (21, 24, 27, 12, 15, 18),
  25: (22, 25, 26, 13, 16, 17),
  26: (25, 26, 27, 16, 17, 18),
  27: (24, 27, 26, 15, 18, 17),
}