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)abbrev package MTHING MergeThing
++ Description:
++ This package exports tools for merging lists

MergeThing(S) : SIG == CODE where
  S : OrderedSet

  SIG ==> with

    mergeDifference : (List(S),List(S)) -> List(S)
      ++ mergeDifference(l1,l2) returns a list of elements in l1 not present
      ++ in l2. Assumes lists are ordered and all x in l2 are also in l1.

  CODE ==> add

    mergeDifference1: (List S,S,List S) -> List S

    mergeDifference(x,y) == 
      null x or null y => x
      mergeDifference1(x,y.first,y.rest)
      x.first=y.first => x.rest
      x

    mergeDifference1(x,fy,ry) ==  
      rx := x
      while not null rx repeat
        rx := rx.rest
        frx := rx.first
        while fy < frx repeat
          null ry => return x
          fy := first ry
          ry := rest ry
        frx = fy =>
          x.rest := rx.rest
          null ry => return x
          fy := ry.first
          ry := ry.rest
        x := rx