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Generics and Specifics

The ANSI FORTRAN 77 language defines generic and specific intrinsics. In short, the distinctions are:

The GNU Fortran language generalizes these concepts somewhat, especially by providing intrinsic subroutines and generic intrinsics that are treated as either a specific intrinsic subroutine or a specific intrinsic function (e.g. SECOND).

However, GNU Fortran avoids generalizing this concept to the point where existing code would be accepted as meaning something possibly different than what was intended.

For example, ABS is a generic intrinsic, so all working code written using ABS of an INTEGER argument expects an INTEGER return value. Similarly, all such code expects that ABS of an INTEGER*2 argument returns an INTEGER*2 return value.

Yet, IABS is a specific intrinsic that accepts only an INTEGER(KIND=1) argument. Code that passes something other than an INTEGER(KIND=1) argument to IABS is not valid GNU Fortran code, because it is not clear what the author intended.

For example, if J is INTEGER(KIND=6), IABS(J) is not defined by the GNU Fortran language, because the programmer might have used that construct to mean any of the following, subtly different, things:

The distinctions matter especially when types and values wider than INTEGER(KIND=1) (such as INTEGER(KIND=2)), or when operations performing more "arithmetic" than absolute-value, are involved.

The following sample program is not a valid GNU Fortran program, but might be accepted by other compilers. If so, the output is likely to be revealing in terms of how a given compiler treats intrinsics (that normally are specific) when they are given arguments that do not conform to their stated requirements:

           PROGRAM JCB002
     C Version 1:
     C Modified 1999-02-15 (Burley) to delete my email address.
     C Modified 1997-05-21 (Burley) to accommodate compilers that implement
     C INT(I1-I2) as INT(I1)-INT(I2) given INTEGER*2 I1,I2.
     C
     C Version 0:
     C Written by James Craig Burley 1997-02-20.
     C
     C Purpose:
     C Determine how compilers handle non-standard IDIM
     C on INTEGER*2 operands, which presumably can be
     C extrapolated into understanding how the compiler
     C generally treats specific intrinsics that are passed
     C arguments not of the correct types.
     C
     C If your compiler implements INTEGER*2 and INTEGER
     C as the same type, change all INTEGER*2 below to
     C INTEGER*1.
     C
           INTEGER*2 I0, I4
           INTEGER I1, I2, I3
           INTEGER*2 ISMALL, ILARGE
           INTEGER*2 ITOOLG, ITWO
           INTEGER*2 ITMP
           LOGICAL L2, L3, L4
     C
     C Find smallest INTEGER*2 number.
     C
           ISMALL=0
      10   I0 = ISMALL-1
           IF ((I0 .GE. ISMALL) .OR. (I0+1 .NE. ISMALL)) GOTO 20
           ISMALL = I0
           GOTO 10
      20   CONTINUE
     C
     C Find largest INTEGER*2 number.
     C
           ILARGE=0
      30   I0 = ILARGE+1
           IF ((I0 .LE. ILARGE) .OR. (I0-1 .NE. ILARGE)) GOTO 40
           ILARGE = I0
           GOTO 30
      40   CONTINUE
     C
     C Multiplying by two adds stress to the situation.
     C
           ITWO = 2
     C
     C Need a number that, added to -2, is too wide to fit in I*2.
     C
           ITOOLG = ISMALL
     C
     C Use IDIM the straightforward way.
     C
           I1 = IDIM (ILARGE, ISMALL) * ITWO + ITOOLG
     C
     C Calculate result for first interpretation.
     C
           I2 = (INT (ILARGE) - INT (ISMALL)) * ITWO + ITOOLG
     C
     C Calculate result for second interpretation.
     C
           ITMP = ILARGE - ISMALL
           I3 = (INT (ITMP)) * ITWO + ITOOLG
     C
     C Calculate result for third interpretation.
     C
           I4 = (ILARGE - ISMALL) * ITWO + ITOOLG
     C
     C Print results.
     C
           PRINT *, 'ILARGE=', ILARGE
           PRINT *, 'ITWO=', ITWO
           PRINT *, 'ITOOLG=', ITOOLG
           PRINT *, 'ISMALL=', ISMALL
           PRINT *, 'I1=', I1
           PRINT *, 'I2=', I2
           PRINT *, 'I3=', I3
           PRINT *, 'I4=', I4
           PRINT *
           L2 = (I1 .EQ. I2)
           L3 = (I1 .EQ. I3)
           L4 = (I1 .EQ. I4)
           IF (L2 .AND. .NOT.L3 .AND. .NOT.L4) THEN
              PRINT *, 'Interp 1: IDIM(I*2,I*2) => IDIM(INT(I*2),INT(I*2))'
              STOP
           END IF
           IF (L3 .AND. .NOT.L2 .AND. .NOT.L4) THEN
              PRINT *, 'Interp 2: IDIM(I*2,I*2) => INT(DIM(I*2,I*2))'
              STOP
           END IF
           IF (L4 .AND. .NOT.L2 .AND. .NOT.L3) THEN
              PRINT *, 'Interp 3: IDIM(I*2,I*2) => DIM(I*2,I*2)'
              STOP
           END IF
           PRINT *, 'Results need careful analysis.'
           END
     

No future version of the GNU Fortran language will likely permit specific intrinsic invocations with wrong-typed arguments (such as IDIM in the above example), since it has been determined that disagreements exist among many production compilers on the interpretation of such invocations. These disagreements strongly suggest that Fortran programmers, and certainly existing Fortran programs, disagree about the meaning of such invocations.

The first version of JCB002 didn't accommodate some compilers' treatment of INT(I1-I2) where I1 and I2 are INTEGER*2. In such a case, these compilers apparently convert both operands to INTEGER*4 and then do an INTEGER*4 subtraction, instead of doing an INTEGER*2 subtraction on the original values in I1 and I2.

However, the results of the careful analyses done on the outputs of programs compiled by these various compilers show that they all implement either Interp 1 or Interp 2 above.

Specifically, it is believed that the new version of JCB002 above will confirm that:

If you get different results than the above for the stated compilers, or have results for other compilers that might be worth adding to the above list, please let us know the details (compiler product, version, machine, results, and so on).