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;