/*****************************************************************************\ * Computer Algebra System SINGULAR \*****************************************************************************/ /** @file cfModResultant.h * * modular resultant algorithm as described by G.E. Collins in "The Calculation * of multivariate polynomial resultants" * * @author Martin Lee * **/ /*****************************************************************************/ #ifndef CF_MOD_RESULTANT_H #define CF_MOD_RESULTANT_H #include "canonicalform.h" /// modular resultant algorihtm over Fp /// /// @return @a resultantFp returns the resultant of A and B wrt. x CanonicalForm resultantFp (const CanonicalForm& A,///<[in] some poly const CanonicalForm& B,///<[in] some poly const Variable& x, ///<[in] some polynomial variable bool prob= true ///<[in] if true use probabilistic algorithm ); /// modular resultant algorihtm over Z /// /// @return @a resultantZ returns the resultant of A and B wrt. x CanonicalForm resultantZ (const CanonicalForm& A, ///<[in] some poly const CanonicalForm& B, ///<[in] some poly const Variable& x, ///<[in] some polynomial variable bool prob= true ///<[in] if true use probabilistic algorithm ); #endif