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Import the second public release of PHCpack.

OKed by Jan Verschelde.

with text_io;                            use text_io;
with Standard_Complex_Poly_Systems;      use Standard_Complex_Poly_Systems;
with Standard_Complex_Solutions;         use Standard_Complex_Solutions;
with Symmetry_Group;                     use Symmetry_Group;

package Symmetric_BKK_Bound_Solvers is

-- DESCRIPTION :
--   This package offers functions for the black-box computation of the
--   BKK bound of a given polynomial system w.r.t. symmetry.

  function Symmetric_BKK_Solve
              ( p : Poly_Sys; sign : boolean ) return Solution_List;

  function Symmetric_BKK_Solve
              ( p : Poly_Sys; grp : List_of_Permutations; sign : boolean )
              return Solution_List;

  function Symmetric_BKK_Solve 
              ( file : file_type; p : Poly_Sys; sign : boolean ) 
              return Solution_List;

  function Symmetric_BKK_Solve
              ( file : file_type; p : Poly_Sys;
                grp : List_of_Permutations; sign : boolean  )
              return Solution_List;

  -- DESCRIPTION :
  --   This is a black box computation of all generating solutions,
  --   based on the computation of the symmetric mixed subdivision.
  --   If a file is specified, then intermediate results will be
  --   write on that file.
  --   If no group is given, then the group of all permutations is
  --   assumed.  Sign = true means that there is also a sign symmetry
  --   to take into account.

end Symmetric_BKK_Bound_Solvers;