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📄 listsort.mldoc

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<!-- listsort.mldoc --><!-- Entities.sgml entry <!ENTITY LIST-SORT SDATA "listsort-sig.sml"> --><!DOCTYPE ML-DOC SYSTEM><COPYRIGHT OWNER="Bell Labs, Lucent Technologies" YEAR=1998><VERSION VERID="1.0" YEAR=1998 MONTH=6 DAY=11><TITLE>The LIST_SORT signature</TITLE><INTERFACE><HEAD>The <CD/LIST_SORT/ signature</HEAD><PP>The <SIGREF NOLINK/LIST_SORT/ signature specifies an interface forthe applicative sorting of lists.<SIGNATURE SIGID="LIST_SORT">  <SIGBODY SIGID="LIST_SORT" FILE=LIST-SORT>    <SPEC>      <VAL>sort<TY>(('a * 'a) -> bool) -> 'a list -> 'a list        <COMMENT>          <PROTOTY>          sort <ARG/f/ <ARG/l/          </PROTOTY>          returns a list of the elements in <ARG/l/, sorted in non-decreasing          order as specified by the ``greater than'' predicate <ARG/f/.          Specifically, if <CD/f(x,y)/ evaluates to true, then <CD/x/ will          appear after <CD/y/ in the resulting list.    <SPEC>      <VAL>uniqueSort<TY>(('a * 'a) -> order) -> 'a list -> 'a list        <COMMENT>          <PROTOTY>          uniqueSort <ARG/f/ <ARG/l/          </PROTOTY>          returns a list of the elements in <ARG/l/, sorted in increasing          order as specified by the comparison function <ARG/f/, and having          only one copy of equal elements.    <SPEC>      <VAL>sorted<TY>(('a * 'a) -> bool) -> 'a list -> bool        <COMMENT>          <PROTOTY>          sorted <ARG/f/ <ARG/l/          </PROTOTY>          returns true if <ARG/l/ is sorted in non-decreasing          order as specified by the ``greater than'' predicate <ARG/f/.          Specifically, it returns true if for all adjacent items <CD/x,y/          in <ARG/l/, <CD/f(x,y)/ evaluates to false.  <SIGINSTANCE> <ID> ListMergeSort    <COMMENT>    <PP>      This structure implements <SIGREF/LIST_SORT/ using a smooth merge sort      algorithm, based on the implementation given in Paulson's book.       Note that the sorting algorithm is not stable.</SIGNATURE></INTERFACE>

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