class Locality(object):
    def __init__(self, api):
        self.api = api

    def u(self, n, otype=None):
        if n <= 0: return tuple()
        Fotype = self.api.F.otype
        maxNode = Fotype.maxNode
        if n > maxNode: return tuple()
        levUp = self.api.C.levUp.data

        if otype == None:
            return levUp[n-1]
        else:
            return tuple(m for m in levUp[n-1] if Fotype.v(m) == otype) 

    def d(self, n, otype=None):
        Fotype = self.api.F.otype
        maxSlot = Fotype.maxSlot
        if n <= maxSlot: return tuple()
        maxNode = Fotype.maxNode
        if n > maxNode: return tuple()

        Eoslots = self.api.E.oslots
        Crank = self.api.C.rank.data
        levDown = self.api.C.levDown.data
        slotType = Fotype.slotType
        if otype == None:
            return sorted(
                levDown[n-maxSlot-1]+Eoslots.s(n),
                key=lambda m: Crank[m-1],
            )
        elif otype == slotType:
            return sorted(
                Eoslots.s(n),
                key=lambda m: Crank[m-1],
            )
        else:
            return tuple(m for m in levDown[n-maxSlot-1] if Fotype.v(m) == otype)

    def p(self, n, otype=None):
        if n <= 1: return tuple()
        Fotype = self.api.F.otype
        maxNode = Fotype.maxNode
        if n > maxNode: return tuple()

        maxSlot = Fotype.maxSlot
        Eoslots = self.api.E.oslots.data
        (firstNode, lastNode) = self.api.C.boundary.data

        myPrev = n-1 if n <= maxSlot else Eoslots[n-maxSlot-1][0]-1
        if myPrev <= 0: return ()

        result =  lastNode[myPrev-1] + (myPrev,)

        if otype == None:
            return result
        else:
            return tuple(m for m in result if Fotype.v(m) == otype) 

    def n(self, n, otype=None):
        if n <= 0: return tuple()
        Fotype = self.api.F.otype
        maxNode = Fotype.maxNode
        maxSlot = Fotype.maxSlot
        if n == maxSlot: return tuple()
        if n > maxNode: return tuple()

        Eoslots = self.api.E.oslots.data
        (firstNode, lastNode) = self.api.C.boundary.data

        myNext = n+1 if n < maxSlot else Eoslots[n-maxSlot-1][-1]+1
        if myNext > maxSlot: return ()

        result =  (myNext,) + firstNode[myNext-1]

        if otype == None:
            return result
        else:
            return tuple(m for m in result if Fotype.v(m) == otype)