Return the parent cell at the given coarser resolution. The static form takes a single quadbin; the temporal form returns the parent of each cell in a trajectory.

quadbinCellToParent(quadbin,integer) → quadbin

tquadbinCellToParent(tquadbin,integer) → tquadbin

SELECT quadbinCellToParent(quadbin '48a6227affffffff', 5);
-- 485623ffffffffff
SELECT tquadbinGetResolution(
  tquadbinCellToParent(tquadbin '48a6227affffffff@2001-01-01', 5));
-- 5@2001-01-01

Return the four child cells at the requested finer resolution as a quadbinset. This is a static set-returning helper on a single quadbin; it has no temporal lift (children are a per-instant set, deferred pending a tset<T> primitive).

quadbinCellToChildren(quadbin,integer) → quadbinset

SELECT quadbinCellToChildren(quadbin '480fffffffffffff', 1);
-- {4813ffffffffffff, 4817ffffffffffff, 481bffffffffffff, 481fffffffffffff}

Return the neighbouring cell at the same resolution in the given direction (up / down / left / right)

quadbinCellSibling(quadbin,text) → quadbin

SELECT quadbinCellSibling(
  quadbinCellSibling(quadbin '48427fffffffffff', 'right'), 'left')
  = quadbin '48427fffffffffff';
-- true

Return all cells within k grid steps of the origin (inclusive of the origin at k=0), as a quadbinset. On the square grid the disk at step k is the (2k+1)×(2k+1) square block of cells centred on the origin.

quadbinGridDisk(quadbin,integer) → quadbinset

SELECT numValues(quadbinGridDisk(quadbin '48a6227affffffff', 0));  -- 1
SELECT numValues(quadbinGridDisk(quadbin '48a6227affffffff', 1));  -- 9
SELECT numValues(quadbinGridDisk(quadbin '48a6227affffffff', 2));  -- 25