poi(1)                                                     poi(1)


FORMAT OF '.poi' - FILES
The first line contains the dimension of the problem.
               DIM = dim

In general, lines consisting of a capitalized keyword are
       significant for input recognition. Such keywords can be

            COMMENT
            CONV_SECTION
            CONE_SECTION
            END

and function specific keywords (such as ELIMINATION_ORDER).
       There  is no restriction concerning the order of sections.
       The keyword

            COMMENT

causes the programs to ignore the text until the next capitalized
       keyword  occurs.   Usually  the  input  contains  a set of
       points to be considered.  If this is missing (the case  of
       a cone) the origin is assumed to be feasible.  The list of
       points is started by the keyword

               CONV_SECTION

The following lines until the  next  keyword
       contain  points, each in one seperate row with exactly dim
       rational   values,  given  by numerator and denominator. A
       denominator with value 1 can be omitted. A line number  in
       parantheses   at    the   beginning   of   the   line   is
       optional:

        (ln)  num1/den1  num2/den2 .......   numdim/dendim

Also the input may contain a set of vectors spanning
       a convex cone. Such a set starts with the keyword

               CONE_SECTION

The  requirements for the vectors are the same as for points.
               END

is needed to terminate the input file.
EXAMPLE
       file 'example.poi':
       DIM = 3

       CONV_SECTION
        3 3 0
        5/3 1 0
        1 5/2 0

       CONE_SECTION



                        February 16, 1994                       1





poi(1)                                                     poi(1)


        0 0 2/3

       END
       SECTION
        0 0 1

       END


















































                        February 16, 1994                       2