Position = {} function Position.equals(pos1, pos2) return pos1.x == pos2.x and pos1.y == pos2.y and pos1.z == pos2.z end function Position.greaterThan(pos1, pos2, orEqualTo) if orEqualTo then return pos1.x >= pos2.x or pos1.y >= pos2.y or pos1.z >= pos2.z else return pos1.x > pos2.x or pos1.y > pos2.y or pos1.z > pos2.z end end function Position.lessThan(pos1, pos2, orEqualTo) if orEqualTo then return pos1.x <= pos2.x or pos1.y <= pos2.y or pos1.z <= pos2.z else return pos1.x < pos2.x or pos1.y < pos2.y or pos1.z < pos2.z end end function Position.isInRange(pos1, pos2, xRange, yRange) return math.abs(pos1.x - pos2.x) <= xRange and math.abs(pos1.y - pos2.y) <= yRange and pos1.z == pos2.z; end function Position.isValid(pos) return not (pos.x == 65535 and pos.y == 65535 and pos.z == 255) end function Position.distance(pos1, pos2) return math.sqrt(math.pow((pos2.x - pos1.x), 2) + math.pow((pos2.y - pos1.y), 2)) end function Position.offsetX(pos1, pos2) return math.abs(pos2.x - pos1.x) end function Position.offsetY(pos1, pos2) return math.abs(pos2.y - pos1.y) end function Position.offsetZ(pos1, pos2) return math.abs(pos2.z - pos1.z) end function Position.manhattanDistance(pos1, pos2) return math.abs(pos2.x - pos1.x) + math.abs(pos2.y - pos1.y) end function Position.translated(pos, dx, dy, dz) local newPos = { x = pos.x, y = pos.y, z = pos.z } newPos.x = newPos.x + dx newPos.y = newPos.y + dy newPos.z = newPos.z + (dz or 0) return newPos end function Position.translatedToDirection(pos, direction) local newPos = { x = pos.x, y = pos.y, z = pos.z } if direction == Directions.North then newPos.y = newPos.y - 1 elseif direction == Directions.East then newPos.x = newPos.x + 1 elseif direction == Directions.South then newPos.y = newPos.y + 1 elseif direction == Directions.West then newPos.x = newPos.x - 1 elseif direction == Directions.NorthEast then newPos.x = newPos.x + 1 newPos.y = newPos.y - 1 elseif direction == Directions.SouthEast then newPos.x = newPos.x + 1 newPos.y = newPos.y + 1 elseif direction == Directions.SouthWest then newPos.x = newPos.x - 1 newPos.y = newPos.y + 1 elseif direction == Directions.NorthWest then newPos.x = newPos.x - 1 newPos.y = newPos.y - 1 end return newPos end function Position.parse(pos) if not pos then return nil end return { x = pos.x, y = pos.y, z = pos.z } end