poiieq(1)                                               poiieq(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



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poiieq(1)                                               poiieq(1)


        0 0 2/3

       END

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

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

               COMMENT
               INEQUALITIES_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.  The list of equalities resp. inequalities
       starts with the keyword

            INEQUALITIES_SECTION

Each  equation resp. inequalitiy  requires one line. Line numbers
       in   parantheses   are   optional. The values are rational
       and  have to be given by numerator and (optional)  denomi-
       nator:

       (ln) num1/den1 xind1 + num2/den2 xind2  .... <= (=>,=,==,=>,<=) numrhs/denrhs

       e.g.: (2) -x2+3/4x5-3x7 >= 4/5
             2x2-  x3 = 8

The keyword
                END

is required to end the file.
       file 'example.ieq':
       DIM = 5

       VALID
       3 3 0 2 3

       LOWER_BOUNDS
       0 1 2 2 2
       UPPER_BOUNDS
       2 2 2 5 5

       ELIMINATION_ORDER



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poiieq(1)                                               poiieq(1)


       2 0 1 0 3

       INEQUALITIES_SECTION
       (  1) +27x1-28x2+57x4-37x5 == 0
       (  2)           -  x4+  x5 == 1

       (  1) + x2   -2x5 <=  -3
       (  2)     -x3     <=   0
       -2x2   + x5 <=   0
       -4/15x2-1/15x5 >=  -1

       END













































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