
[AUTHOR]
See the file \fBCREDITS\fR in the source distribution or use the command
\fBppl\-config \-\-credits\fR for a list of contributors.

[COPYRIGHT]
Copyright (C) 2001\-2010 Roberto Bagnara <bagnara@cs.unipr.it>
Copyright (C) 2010\-2022 BUGSENG srl (http://bugseng.com)
.br
This is free software; see the file \fBCOPYING\fR in the source
distribution or use the command \fBppl\-config \-\-copying\fR to
obtain the copying conditions.  There is NO warranty; not even for
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.

[AVAILABILITY]
The latest version of the Parma Polyhedra Library and all the documentation
is available at \fBhttp://bugseng.com/products/ppl/\fR .

[NOTES]
The options \fB\-CSECS\fR (\fB\-\-max\-cpu\fR=\fISECS\fR) and
\fB\-t\fR (\fB\-\-timings\fR) are not available on some platforms.
.sp
The PolyLib format is as follows:
.TP
-
The first row describes the context matrix (i.e., constraints on the
parameters).  The first value is the number of rows (which can be zero)
and the second value is the number of columns. The number of parameters
is the number of columns minus 2.
.TP
-
Starting from the second row, there are the rows of the context matrix,
if any.  Each row, which represents a constraint of the form
.B "c1*p1 + ... + cn*pn + c0 =/>= 0",
contains:
the value 0 if the constraint is an equality, 1 if it is an inequality;
the coefficients of the parameters
.B "c1, ..., cn";
the constant term
.B "c0".
For example, the inequality constraint on two parameters
.B "p1 + 2*p2 - 1 >= 0"
is encoded by the row
.B "1 1 2 -1".
.TP
-
The following row contains the parameter number for the so-called
.IR "big parameter".
If no big parameter is used, the value is -1.
.TP
-
The following rows encode the problem inequality matrix.
As for the context matrix, the first two values are the dimensions of the
matrix. The number of variables is the number of columns in the matrix
minus the number of parameters minus 2.
Each row, which represents a constraint of the form
.B "d1*v1 + ... + dm*vm + c1*p1 + ... + cn*pn + c0 =/>= 0",
contains:
the value 0 if the constraint is an equality, 1 if it is an inequality;
the coefficients of the variables
.B "d1, ..., dm";
the coefficients of the parameters
.B "c1, ..., cn";
the constant term
.B "c0".
.sp
The PipLib format is described in Section 2.2 of
.IR "PIP/PipLib: A Solver for Parametric Integer Programming Problems"
(see below).

[SEE ALSO]
.BR ppl-config(1)
.sp
Paul Feautrier.
.IR "Parametric Integer Programming".
RAIRO Recherche Operationnelle, 22(3):243-268, 1988.
.sp
Paul Feautrier, Jean-Francois Collard, and Cedric Bastoul.
.IR "PIP/PipLib: A Solver for Parametric Integer Programming Problems",
5.0 edition, July 2007.
Distributed with PIP/PipLib 1.4.0.
