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)abbrev domain MKCHSET MakeCachableSet
++ Author: Manuel Bronstein
++ Date Created: ???
++ Date Last Updated: 14 May 1991
++ Description:
++ MakeCachableSet(S) returns a cachable set which is equal to S as a set.

MakeCachableSet(S) : SIG == CODE where
  S : SetCategory

  SIG ==> Join(CachableSet, CoercibleTo S) with

    coerce: S -> %
      ++ coerce(s) returns s viewed as an element of %.

  CODE ==> add

    import SortedCache(%)

    Rep := Record(setpart: S, pos: NonNegativeInteger)

    clearCache()

    position x             == x.pos

    setPosition(x, n)      == (x.pos := n; void)

    coerce(x:%):S          == x.setpart

    coerce(x:%):OutputForm == x::S::OutputForm

    coerce(s:S):%          == enterInCache([s, 0]$Rep, x+->(s = x::S))

    x < y ==
      if position(x) = 0 then enterInCache(x, x1+->(x::S = x1::S))
      if position(y) = 0 then enterInCache(y, x1+->(y::S = x1::S))
      position(x) < position(y)

    x = y ==
      if position(x) = 0 then enterInCache(x, x1+->(x::S = x1::S))
      if position(y) = 0 then enterInCache(y, x1+->(y::S = x1::S))
      position(x) = position(y)