00001 #ifndef MPOL_SQUARE_FREE_HH 00002 #define MPOL_SQUARE_FREE_HH 00003 00004 #include <synaps/mpol/MPol.h> 00005 #include <synaps/upol/square_free.h> 00006 __BEGIN_NAMESPACE_SYNAPS 00007 00008 template<class C, class O, class R> 00009 MPol< C, O, R> square_free ( const MPol<C,O,R> & p ) 00010 { 00011 MPol<C,O,R> result; 00012 int lv = LastVar(p); 00013 if ( lv == -1 ) return p; 00014 convert( result, square_free2( p, lv ), lv ); 00015 }; 00016 00017 template<class C, class O, class R> 00018 UPolDse< MPol< C, O, R > > square_free2 ( const MPol< C, O, R > & p , int y = 0 ) 00019 { 00020 typedef MPol<C,O,R> Polynom; 00021 typedef UPolDse< Polynom > UPolynom; 00022 UPolynom f; 00023 let::convert( f, p, y ); 00024 Polynom c = gcd_coeffs(f); 00025 Polynom w = f / c; 00026 c = square_free(c); 00027 Polynom wy = diff(w,y); 00028 return (w/gcd(w,wy))*c; 00029 }; 00030 00031 __END_NAMESPACE_SYNAPS 00032 #endif
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