Counting

• Count the number of lattice points in polytope $P$ , where $P$ is given in ``fileName''.

       ./count fileName
  

• Count the number of lattice points in $nP$ , the dilation of $P$ by the integer factor $n$ .

       ./count dil n fileName
  

• Count the number of lattice points in the interior of the polytope $P$ , where $P$ is given in ``fileName''.

       ./count int fileName
  

• Use the homogenized Barvinok algorithm [5] to count the number of lattice points in the polytope $P$ , where $P$ is given in ``fileName''. Use if number of vertices of $P$ is big compared to the number of constraints.

       ./count homog fileName