mirror of https://github.com/CGAL/cgal
Add angle(Point_3, Point_3,Point_3,Vector_3)
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@ -96,6 +96,13 @@ namespace CartesianKernelFunctors {
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r.x(), r.y(), r.z(),
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s.x(), s.y(), s.z());
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}
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result_type
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operator()(const Point_3& p, const Point_3& q,
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const Point_3& r, const Vector_3& n) const
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{
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return enum_cast<Angle>(orientation(p,q,r,r+n));
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}
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};
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template <typename K>
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@ -112,6 +112,12 @@ namespace HomogeneousKernelFunctors {
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const Point_3& r, const Point_3& s) const
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{ return enum_cast<Angle>(CGAL_NTS sign(c(q,p) * c(s,r))); }
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// FIXME: scalar product
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result_type
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operator()(const Point_3& p, const Point_3& q,
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const Point_3& r, const Vector_3& n) const
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{
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return enum_cast<Angle>(orientation(p,q,r,r+n));
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};
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@ -37,6 +37,7 @@ const CGAL::Point_2<Kernel>& q,
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const CGAL::Point_2<Kernel>& r,
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const CGAL::Point_2<Kernel>& s);
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/*!
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returns `CGAL::OBTUSE`, `CGAL::RIGHT` or `CGAL::ACUTE` depending
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@ -61,6 +62,17 @@ Kernel::FT approximate_dihedral_angle(const CGAL::Point_3<Kernel>& p,
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const CGAL::Point_3<Kernel>& r,
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const CGAL::Point_3<Kernel>& s);
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/*!
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returns `CGAL::OBTUSE`, `CGAL::RIGHT` or `CGAL::ACUTE` depending
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on the angle formed by the normal vector of the plane `pqr` and `v`.
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*/
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template <typename Kernel>
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Angle angle(const CGAL::Point_3<Kernel>& p,
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const CGAL::Point_3<Kernel>& q,
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const CGAL::Point_3<Kernel>& r,
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const CGAL::Vector_3<Kernel>& v);
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/// @}
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@ -85,7 +85,16 @@ public:
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Angle operator()(const Kernel::Point_3&p,
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const Kernel::Point_3&q,
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const Kernel::Point_3&r,
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const Kernel::Point_3&s);
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const Kernel::Point_3&s);
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/*!
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returns \ref CGAL::OBTUSE, \ref CGAL::RIGHT or \ref CGAL::ACUTE depending
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on the angle formed by the twonormal vector of the plane `pqr` and `v`.
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*/
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Angle operator()(const Kernel::Point_3&p,
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const Kernel::Point_3&q,
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const Kernel::Point_3&r,
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const Kernel::Vector_3&s);
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/// @}
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}; /* end Kernel::Angle_3 */
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@ -59,6 +59,15 @@ angle(const Point_3<K> &p, const Point_3<K> &q,
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return internal::angle(p, q, r, s, K());
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}
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template <typename K>
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inline
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Angle
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angle(const Point_3<K> &p, const Point_3<K> &q,
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const Point_3<K> &r, const Vector_3<K> &v)
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{
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return internal::angle(p, q, r, v, K());
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}
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template < class K >
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inline
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typename K::FT
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@ -70,6 +70,18 @@ angle(const typename K::Point_3 &p,
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return k.angle_3_object()(p, q, r, s);
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}
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template <typename K>
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inline
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typename K::Angle
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angle(const typename K::Point_3 &p,
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const typename K::Point_3 &q,
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const typename K::Point_3 &r,
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const typename K::Vector_3 &v,
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const K &k)
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{
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return k.angle_3_object()(p, q, r, v);
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}
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template < class K >
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inline
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typename K::FT
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@ -33,6 +33,7 @@ _test_angle(const R&)
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typedef CGAL::Point_3<R> Point_3;
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typedef CGAL::Vector_2<R> Vector_2;
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typedef CGAL::Vector_3<R> Vector_3;
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Point_2 p(RT(2),RT(1));
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Point_2 q(RT(5),RT(4));
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@ -67,6 +68,12 @@ _test_angle(const R&)
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assert( CGAL::angle( org3 - sz, sz - sy) == CGAL::OBTUSE );
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assert( CGAL::angle( org3 - sx, sy - sx) == CGAL::ACUTE );
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Vector_3 vz(RT0, RT0, RT1);
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Vector_3 vcoplanar(RT1, RT1, RT0);
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Vector_3 vmz(RT0, RT0, -RT1);
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assert( CGAL::angle( org3, sx, sy, vz) == CGAL::ACUTE );
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assert( CGAL::angle( org3, sx, sy, vcoplanar) == CGAL::RIGHT );
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assert( CGAL::angle( org3, sx, sy, vmz) == CGAL::OBTUSE );
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return true;
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}
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