with text_io; use text_io; with Standard_Complex_Poly_Systems; use Standard_Complex_Poly_Systems; with Standard_Complex_Solutions; use Standard_Complex_Solutions; package Drivers_for_Symmetric_Lifting is procedure Symmetric_Lifting_Info; -- DESCRIPTION : -- Displays information on symmetric lifting on screen. procedure Driver_for_Symmetric_Mixed_Volume_Computation ( file : in file_type; p : in Poly_Sys; byebye : in boolean; q : out Poly_Sys; qsols : out Solution_List; mv : out natural ); -- DESCRIPTION : -- This procedure presents an interactive driver for the computation -- of the mixed volume of a symmetric polynomial system, based on the -- construction of a symmetric mixed subdivision. -- ON ENTRY : -- file a file to put useful statistics on; -- p a polynomial system; -- byebye if true, then a bye-bye message will appear on screen, -- if false, then no bye-bye. -- ON RETURN : -- q a start system with randomly choosen coefficients, -- which can be used in a coefficient homotopy; -- qsols the solutions of q; -- mv the BKK bound of p and the number of solutions of q. end Drivers_for_Symmetric_Lifting;