📄 aff_transformationh3.h
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t21, t22, t23, // i 01 RT0, RT0, t33 ), det3x3_by_formula( t01, t02, t03, t11, t12, t13, // i 02 RT0, RT0, t33 ), - det3x3_by_formula( t01, t02, t03, t11, t12, t13, // i 03 t21, t22, t23 ), - det3x3_by_formula( t10, t12, t13, t20, t22, t23, // i 10 RT0, RT0, t33 ), det3x3_by_formula( t00, t02, t03, t20, t22, t23, // i 11 RT0, RT0, t33 ), - det3x3_by_formula( t00, t02, t03, t10, t12, t13, // i 12 RT0, RT0, t33 ), det3x3_by_formula( t00, t02, t03, t10, t12, t13, // i 13 t20, t22, t23 ), det3x3_by_formula( t10, t11, t13, t20, t21, t23, // i 20 RT0, RT0, t33 ), - det3x3_by_formula( t00, t01, t03, t20, t21, t23, // i 21 RT0, RT0, t33 ), det3x3_by_formula( t00, t01, t03, t10, t11, t13, // i 22 RT0, RT0, t33 ), - det3x3_by_formula( t00, t01, t03, t10, t11, t13, // i 23 t20, t21, t23 ), det3x3_by_formula( t00, t01, t02, t10, t11, t12, // i 33 t20, t21, t22 ) ) ;}template < class R >inlineAff_transformation_repH3<R>Aff_transformation_repH3<R>::general_form() const{ return *this; }template < class R >CGAL_KERNEL_INLINEtypename Aff_transformation_repH3<R>::Aff_transformation_3Aff_transformation_repH3<R>::transpose() const{ typedef typename R::RT RT; const RT RT0(0); return Aff_transformation_3( t00, t10, t20, RT0, t01, t11, t21, RT0, t02, t12, t22, RT0, t33);}template < class R >CGAL_KERNEL_INLINEboolAff_transformation_repH3<R>::is_even() const{ return (CGAL_NTS sign<RT>( t33 * det3x3_by_formula(t00, t01, t02, t10, t11, t12, t20, t21, t22 ) ) == POSITIVE );}template < class R >CGAL_KERNEL_LARGE_INLINEtypename Aff_transformation_repH3<R>::RTAff_transformation_repH3<R>::homogeneous(int i, int j) const{ typedef typename R::RT RT; CGAL_kernel_precondition( (i >= 0) && (i <= 3) && (j >= 0) && (j <= 3) ); const RT RT0(0); switch (i) { case 0: switch (j) { case 0: return t00; case 1: return t01; case 2: return t02; case 3: return t03; } case 1: switch (j) { case 0: return t10; case 1: return t11; case 2: return t12; case 3: return t13; } case 2: switch (j) { case 0: return t20; case 1: return t21; case 2: return t22; case 3: return t23; } case 3: switch (j) { case 0: return RT0; case 1: return RT0; case 2: return RT0; case 3: return t33; } } return RT0;}template < class R >inlinetypename Aff_transformation_repH3<R>::FTAff_transformation_repH3<R>::cartesian(int i, int j) const{ typedef typename R::FT FT; return FT(homogeneous(i,j)) / FT(t33);}template <class R>Aff_transformation_repH3<R>Identity_repH3<R>::general_form() const{ typedef typename R::RT RT; const RT RT0(0); const RT RT1(1); return Aff_transformation_repH3<R>(RT1, RT0, RT0, RT0, RT0, RT1, RT0, RT0, RT0, RT0, RT1, RT0, RT1 );}template < class R >inlineTranslation_repH3<R>::Translation_repH3( const typename Translation_repH3<R>::Vector_3& v) : tv(v){}template < class R >CGAL_KERNEL_INLINEtypename Translation_repH3<R>::Point_3Translation_repH3<R>::transform(const typename Translation_repH3<R>::Point_3& p) const{ return Point_3( tv.hw() * p.hx() + tv.hx() * p.hw(), tv.hw() * p.hy() + tv.hy() * p.hw(), tv.hw() * p.hz() + tv.hz() * p.hw(), tv.hw() * p.hw() );}template < class R >inlinetypename Translation_repH3<R>::Vector_3Translation_repH3<R>::transform(const typename Translation_repH3<R>::Vector_3& v) const{ return v; }template < class R >inlinetypename Translation_repH3<R>::Direction_3Translation_repH3<R>::transform(const typename Translation_repH3<R>::Direction_3& dir) const{ return dir; }template < class R >inlinetypename Translation_repH3<R>::Plane_3Translation_repH3<R>::transform(const typename Translation_repH3<R>::Plane_3& pl) const{ return Plane_3( transform( pl.point() ), pl.orthogonal_vector() );}template < class R >inlinetypename Translation_repH3<R>::Aff_transformation_3Translation_repH3<R>::inverse() const{ return Aff_transformation_3(TRANSLATION, - tv ); }template < class R >CGAL_KERNEL_INLINEAff_transformation_repH3<R>Translation_repH3<R>::general_form() const{ const RT RT0(0); return Aff_transformation_repH3<R>(tv.hw(), RT0, RT0, tv.hx(), RT0, tv.hw(), RT0, tv.hy(), RT0, RT0, tv.hw(), tv.hz(), tv.hw() );}template < class R >CGAL_KERNEL_INLINEtypename Translation_repH3<R>::Aff_transformation_3Translation_repH3<R>::transpose() const{ typedef typename R::RT RT; const RT RT0(0); const RT RT1(1); return Aff_transformation_3( RT1, RT0, RT0, RT0, RT0, RT1, RT0, RT0, RT0, RT0, RT1, RT0, RT1 );}template < class R >inlineboolTranslation_repH3<R>::is_even() const{ return true; }template < class R >CGAL_KERNEL_LARGE_INLINEtypename Translation_repH3<R>::RTTranslation_repH3<R>::homogeneous(int i, int j) const{ CGAL_kernel_precondition( (i >= 0) && (i <= 3) && (j >= 0) && (j <= 3) ); const RT RT0(0); switch (i) { case 0: switch (j) { case 0: return tv.hw(); case 1: return RT0; case 2: return RT0; case 3: return tv.hx(); } case 1: switch (j) { case 0: return RT0; case 1: return tv.hw(); case 2: return RT0; case 3: return tv.hy(); } case 2: switch (j) { case 0: return RT0; case 1: return RT0; case 2: return tv.hw(); case 3: return tv.hz(); } case 3: switch (j) { case 0: return RT0; case 1: return RT0; case 2: return RT0; case 3: return tv.hw(); } } return RT0;}template < class R >inlinetypename Translation_repH3<R>::FTTranslation_repH3<R>::cartesian(int i, int j) const{ return FT(homogeneous(i,j)) / FT(tv.hw());}template < class R >CGAL_KERNEL_INLINEAff_transformationH3<R>_general_transformation_composition( Aff_transformation_repH3<R> l, Aff_transformation_repH3<R> r ){ return Aff_transformationH3<R>( l.t00*r.t00 + l.t01*r.t10 + l.t02*r.t20, l.t00*r.t01 + l.t01*r.t11 + l.t02*r.t21, l.t00*r.t02 + l.t01*r.t12 + l.t02*r.t22, l.t00*r.t03 + l.t01*r.t13 + l.t02*r.t23 + l.t03*r.t33, l.t10*r.t00 + l.t11*r.t10 + l.t12*r.t20, l.t10*r.t01 + l.t11*r.t11 + l.t12*r.t21, l.t10*r.t02 + l.t11*r.t12 + l.t12*r.t22, l.t10*r.t03 + l.t11*r.t13 + l.t12*r.t23 + l.t13*r.t33, l.t20*r.t00 + l.t21*r.t10 + l.t22*r.t20, l.t20*r.t01 + l.t21*r.t11 + l.t22*r.t21, l.t20*r.t02 + l.t21*r.t12 + l.t22*r.t22, l.t20*r.t03 + l.t21*r.t13 + l.t22*r.t23 + l.t23*r.t33, l.t33*r.t33 );}template < class R >CGAL_KERNEL_INLINEAff_transformationH3<R>::Aff_transformationH3(){ initialize_with(Aff_transformation_repH3<R>()); }template < class R >CGAL_KERNEL_INLINEAff_transformationH3<R>::Aff_transformationH3(const Identity_transformation&){ initialize_with(Identity_repH3<R>()); }template < class R >CGAL_KERNEL_INLINEAff_transformationH3<R>::Aff_transformationH3(const Translation&, const typename Aff_transformationH3<R>::Vector_3& v){ initialize_with(Translation_repH3<R>( v )); }template < class R >CGAL_KERNEL_INLINEAff_transformationH3<R>::Aff_transformationH3(const Scaling&, const RT& num, const RT& den){ const RT RT0(0); initialize_with(Aff_transformation_repH3<R>(num, RT0, RT0, RT0, RT0, num, RT0, RT0, RT0, RT0, num, RT0, den ));}template < class R >CGAL_KERNEL_INLINEAff_transformationH3<R>::Aff_transformationH3( const RT& m00, const RT& m01, const RT& m02, const RT& m03, const RT& m10, const RT& m11, const RT& m12, const RT& m13, const RT& m20, const RT& m21, const RT& m22, const RT& m23, const RT& m33){ initialize_with(Aff_transformation_repH3<R>(m00, m01, m02, m03, m10, m11, m12, m13, m20, m21, m22, m23, m33 ));}template < class R >CGAL_KERNEL_INLINEAff_transformationH3<R>::Aff_transformationH3( const RT& m00, const RT& m01, const RT& m02, const RT& m10, const RT& m11, const RT& m12, const RT& m20, const RT& m21, const RT& m22, const RT& m33){ const RT RT0 = RT(0); initialize_with(Aff_transformation_repH3<R>(m00, m01, m02, RT0, m10, m11, m12, RT0, m20, m21, m22, RT0, m33 ));}template < class R >inlinetypename Aff_transformationH3<R>::Point_3Aff_transformationH3<R>::transform(const typename Aff_transformationH3<R>::Point_3& p) const{ return this->Ptr()->transform(p); }template < class R >inlinetypename Aff_transformationH3<R>::Vector_3Aff_transformationH3<R>::transform(const typename Aff_transformationH3<R>::Vector_3& v) const{ return this->Ptr()->transform(v); }template < class R >inlinetypename Aff_transformationH3<R>::Direction_3Aff_transformationH3<R>::transform(const typename Aff_transformationH3<R>::Direction_3& d) const{ return this->Ptr()->transform(d); }template < class R >inlinetypename Aff_transformationH3<R>::Plane_3Aff_transformationH3<R>::transform(const typename Aff_transformationH3<R>::Plane_3& pl) const{ return this->Ptr()->transform(pl); }template < class R >inlinetypename Aff_transformationH3<R>::Aff_transformation_3Aff_transformationH3<R>::inverse() const{ return this->Ptr()->inverse(); }template < class R >inlineAff_transformationH3<R>Aff_transformationH3<R>::transpose() const{ return this->Ptr()->transpose(); }template < class R >inlineboolAff_transformationH3<R>::is_even() const{ return this->Ptr()->is_even(); }template < class R >inlineboolAff_transformationH3<R>::is_odd() const{ return ( ! (this->Ptr()->is_even() )); }template < class R >CGAL_KERNEL_INLINEAff_transformationH3<R>operator*(const Aff_transformationH3<R>& left_argument, const Aff_transformationH3<R>& right_argument ){ return _general_transformation_composition( left_argument.Ptr() ->general_form(), right_argument.Ptr()->general_form() );}template < class R >std::ostream &operator<< ( std::ostream & out, const Aff_transformationH3<R>& t){ typename R::RT RT0(0); Aff_transformation_repH3<R> r = t.Ptr()->general_form(); return out << "| "<< r.t00 <<' '<< r.t01 <<' '<< r.t02 <<' '<< r.t03 << " |\n" << "| "<< r.t10 <<' '<< r.t11 <<' '<< r.t12 <<' '<< r.t13 << " |\n" << "| "<< r.t20 <<' '<< r.t21 <<' '<< r.t22 <<' '<< r.t23 << " |\n" << "| "<< RT0 <<' '<< RT0 <<' '<< RT0 <<' '<< r.t33 << " |\n";}CGAL_END_NAMESPACE#endif // CGAL_AFF_TRANSFORMATIONH3_H⌨️ 快捷键说明
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