#

## Issue SXHASH-DEFINITION Writeup

    Issue:            SXHASH-DEFINITION
    References:       SXHASH, "similarity as constants"
    Related issues:   CONSTANT-COMPILABLE-TYPES
                      COMPILE-FILE-SYMBOL-HANDLING
                      CONSTANT-COLLAPSING
                      HASH-TABLE-KEY-MODIFICATION
    Category:         CLARIFICATION, CHANGE
    Edit history:     v1, 14 Feb 1991, Sandra Loosemore
                      v2, 19 Feb 1991, Sandra Loosemore (comments from KAB)
                      v3, 11 Mar 1991, Sandra Loosemore (additional proposals)
                      v4, 13 Mar 1991, Sandra Loosemore (new proposal)
                      v5, 26 Mar 1991, Sandra Loosemore (amendment from meeting)
    Status:           v5 (proposal SIMILAR-FOR-SXHASH) accepted by X3J13, Mar 1991

    Problem description:

      The definition of the SXHASH function is confusing.  The relevant
      words from CLtL are:

        SXHASH computes a hash code for an object and returns the hash
        code as a non-negative fixnum.  A property of SXHASH is that
        (EQUAL <x> <y>) implies (= (SXHASH <x>) (SXHASH <y>)).

        The manner in which the hash code is computed is implementation-
        dependent but independent of the particular "incarnation" or "core
        image".  Hash values produced by SXHASH may be written out to files,
        for example, and meaningfully read in again into an instance of the
        same implementation.

      Different people have different interpretations of what the second
      paragraph is trying to say.

      An additional problem is that the effects on SXHASH of destructive
      operations on the object are not well-specified.  Issue
      HASH-TABLE-KEY-MODIFICATION dealt only with objects used as keys in
      hash tables, not with SXHASH.

    Proposal (SXHASH-DEFINITION:SIMILAR-FOR-SXHASH):

      Define SXHASH as a function with these properties:

      (1) The result is a non-negative fixnum.

      (2) (EQUAL x y) implies (= (SXHASH x) (SXHASH y)).

      (3) If x and y are "similar for SXHASH", then (SXHASH x) and
          (SXHASH y) return the same mathematical value even if x and y
          exist in different sessions of the same Lisp implementation.

          Objects are "similar for SXHASH" if they are of type string,
          bit-vector, character, cons, number, pathname or symbol, and
          are "similar as constants".

          [This assumes that a bug in the specification of "similar as
          constants" for pathnames (from issue CONSTANT-COMPILABLE-TYPES) is
          going to be fixed by the editor.  The problem is that the definition
          of "similar as constants" now implies that the pathname components are
          recursively compared for being "similar as constants", while EQUAL
          talks about components merely being "equivalent".  If this change to
          "similar as constants" is not made, then the presentation of SXHASH
          must describe the relationship for pathnames separately, in a way that
          is compatible with EQUAL.]

      (4) The function is intended for hashing so implementations should
          return values well distributed within the range of non-negative
          fixnums.

      (5) The value returned by SXHASH on an object within a single session
          is constant provided that the object is not visibly modified with
          regard to the equivalence test EQUAL (as defined in proposal
          HASH-TABLE-KEY-MODIFICATION:SPECIFY).

      (6) SXHASH must terminate.

    Implementation Notes:

      For objects of other types that EQUAL compares with EQ, item 5
      restricts SXHASH to assigning the hash code based on some immutable
      attribute of the identity of the object, such as its type.  Another
      legitimate implementation technique would be to have SXHASH assign
      (and cache) a random hash code for these objects, since there is
      no requirement that "similar" but non-EQ objects have the same hash
      code.

      Although the "similar as constants" relationship on symbols is defined
      in terms of both the symbol's name and the packages it is accessible
      in, item 5 disallows using package information to compute the hash
      code, since changes to the package status of a symbol are not visible
      to EQUAL.

    Rationale:

      This is probably what CLtL meant to say.  Basically, what the proposal
      does is to combine the original definition of SXHASH's relationship
      with EQUAL with using "similar as constants" to compare objects that
      exist in different Lisp sessions.  For types where EQUAL and "similar
      as constants" differ, or where "similar as constants" is not
      well-defined, the relationship between Lisp sessions is unspecified.

    Current Practice:

      Unknown.  In many implementations, the hash values returned by
      SXHASH for objects of types that EQUAL compares with EQ are
      apparently based on the type of the object.

      JonL says he knows of at least one implementation that keeps a
      hash-number slot inside every stored object.

    Cost to Implementors:

      Probably not too large.

    Cost to Users:

      The current definition of SXHASH is pretty garbled and probably
      most uses of SXHASH do not depend on much more than the relationship to
      EQUAL.  That relationship is preserved in proposal SIMILAR-FOR-SXHASH.

      Some users may have interpreted the read/print consistency language
      in CLtL to require stricter behavior for SXHASH than is specified by
      the current proposal.  For example, some uses of SXHASH might assume
      that arrays that are "similar" under read/print consistency have
      the same hash codes.  These applications could break in implementations
      that choose to assign unique hash codes to non-EQ arrays.

    Cost of non-adoption:

      The definition of SXHASH will continue to be garbled.  SXHASH will
      be of limited usefulness.

    Performance impact:

      Probably small.

    Benefits:

      The cost of non-adoption is avoided.

    Esthetics:

      Better than the way things are now.

    Discussion:

      This issue was discussed briefly on the x3j13 mailing list in
      November 89, but not written up until now.

      There has been quite a bit of discussion about whether SXHASH should
      be required to "work" on circular objects.  Some have argued that such
      a requirement would make it more useful, but others claim that it's
      pointless to make the requirement since EQUAL doesn't have to "work"
      on circular objects.

      Barrett says he is concerned about proposal SIMILAR-FOR-SXHASH
      potentially breaking applications that depend on SXHASH returning
      the same values for arrays, etc. that are "similar", but concludes
      that trying to specify what attributes of these objects might or might
      not be used to compute the hash value is probably not practical.

      Loosemore, Barrett, Moon, and MacLachlan have expressed agreement in
      principle with proposal SIMILAR-FOR-SXHASH.

Copyright 1996-2001, Xanalys Inc. All rights reserved.