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)abbrev domain ITUPLE InfiniteTuple
++ Author: Clifton J. Williamson
++ Date Created: 16 February 1990
++ Date Last Updated: 16 February 1990
++ Description:
++ This package implements 'infinite tuples' for the interpreter.
++ The representation is a stream.

InfiniteTuple(S) : SIG == CODE where
  S : Type

  SIG ==> CoercibleTo OutputForm with

    map : (S -> S, %) -> %
      ++ map(f,t) replaces the tuple t
      ++ by \spad{[f(x) for x in t]}.

    filterWhile : (S -> Boolean, %) -> %
      ++ filterWhile(p,t) returns \spad{[x for x in t while p(x)]}.

    filterUntil : (S -> Boolean, %) -> %
      ++ filterUntil(p,t) returns \spad{[x for x in t while not p(x)]}.

    select : (S -> Boolean, %) -> %
      ++ select(p,t) returns \spad{[x for x in t | p(x)]}.

    generate : (S -> S,S) -> %
      ++ generate(f,s) returns \spad{[s,f(s),f(f(s)),...]}.

    construct : % -> Stream S
      ++ construct(t) converts an infinite tuple to a stream.

  CODE ==> Stream S add

    generate(f,x) == generate(f,x)$Stream(S) pretend %

    filterWhile(f, x) == filterWhile(f,x pretend Stream(S))$Stream(S) pretend %

    filterUntil(f, x) == filterUntil(f,x pretend Stream(S))$Stream(S) pretend %

    select(f, x) == select(f,x pretend Stream(S))$Stream(S) pretend %

    construct x == x pretend Stream(S)