Add angle(Point_3, Point_3,Point_3,Vector_3)

This commit is contained in:
Andreas Fabri 2017-01-05 16:03:06 +01:00 committed by Sébastien Loriot
parent 061a9b1ecd
commit 5f8bc52082
7 changed files with 63 additions and 1 deletions

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@ -96,6 +96,13 @@ namespace CartesianKernelFunctors {
r.x(), r.y(), r.z(),
s.x(), s.y(), s.z());
}
result_type
operator()(const Point_3& p, const Point_3& q,
const Point_3& r, const Vector_3& n) const
{
return enum_cast<Angle>(orientation(p,q,r,r+n));
}
};
template <typename K>

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@ -112,6 +112,12 @@ namespace HomogeneousKernelFunctors {
const Point_3& r, const Point_3& s) const
{ return enum_cast<Angle>(CGAL_NTS sign(c(q,p) * c(s,r))); }
// FIXME: scalar product
result_type
operator()(const Point_3& p, const Point_3& q,
const Point_3& r, const Vector_3& n) const
{
return enum_cast<Angle>(orientation(p,q,r,r+n));
};

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@ -37,6 +37,7 @@ const CGAL::Point_2<Kernel>& q,
const CGAL::Point_2<Kernel>& r,
const CGAL::Point_2<Kernel>& s);
/*!
returns `CGAL::OBTUSE`, `CGAL::RIGHT` or `CGAL::ACUTE` depending
@ -61,6 +62,17 @@ Kernel::FT approximate_dihedral_angle(const CGAL::Point_3<Kernel>& p,
const CGAL::Point_3<Kernel>& r,
const CGAL::Point_3<Kernel>& s);
/*!
returns `CGAL::OBTUSE`, `CGAL::RIGHT` or `CGAL::ACUTE` depending
on the angle formed by the normal vector of the plane `pqr` and `v`.
*/
template <typename Kernel>
Angle angle(const CGAL::Point_3<Kernel>& p,
const CGAL::Point_3<Kernel>& q,
const CGAL::Point_3<Kernel>& r,
const CGAL::Vector_3<Kernel>& v);
/// @}

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@ -85,7 +85,16 @@ public:
Angle operator()(const Kernel::Point_3&p,
const Kernel::Point_3&q,
const Kernel::Point_3&r,
const Kernel::Point_3&s);
const Kernel::Point_3&s);
/*!
returns \ref CGAL::OBTUSE, \ref CGAL::RIGHT or \ref CGAL::ACUTE depending
on the angle formed by the twonormal vector of the plane `pqr` and `v`.
*/
Angle operator()(const Kernel::Point_3&p,
const Kernel::Point_3&q,
const Kernel::Point_3&r,
const Kernel::Vector_3&s);
/// @}
}; /* end Kernel::Angle_3 */

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@ -59,6 +59,15 @@ angle(const Point_3<K> &p, const Point_3<K> &q,
return internal::angle(p, q, r, s, K());
}
template <typename K>
inline
Angle
angle(const Point_3<K> &p, const Point_3<K> &q,
const Point_3<K> &r, const Vector_3<K> &v)
{
return internal::angle(p, q, r, v, K());
}
template < class K >
inline
typename K::FT

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@ -70,6 +70,18 @@ angle(const typename K::Point_3 &p,
return k.angle_3_object()(p, q, r, s);
}
template <typename K>
inline
typename K::Angle
angle(const typename K::Point_3 &p,
const typename K::Point_3 &q,
const typename K::Point_3 &r,
const typename K::Vector_3 &v,
const K &k)
{
return k.angle_3_object()(p, q, r, v);
}
template < class K >
inline
typename K::FT

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@ -33,6 +33,7 @@ _test_angle(const R&)
typedef CGAL::Point_3<R> Point_3;
typedef CGAL::Vector_2<R> Vector_2;
typedef CGAL::Vector_3<R> Vector_3;
Point_2 p(RT(2),RT(1));
Point_2 q(RT(5),RT(4));
@ -67,6 +68,12 @@ _test_angle(const R&)
assert( CGAL::angle( org3 - sz, sz - sy) == CGAL::OBTUSE );
assert( CGAL::angle( org3 - sx, sy - sx) == CGAL::ACUTE );
Vector_3 vz(RT0, RT0, RT1);
Vector_3 vcoplanar(RT1, RT1, RT0);
Vector_3 vmz(RT0, RT0, -RT1);
assert( CGAL::angle( org3, sx, sy, vz) == CGAL::ACUTE );
assert( CGAL::angle( org3, sx, sy, vcoplanar) == CGAL::RIGHT );
assert( CGAL::angle( org3, sx, sy, vmz) == CGAL::OBTUSE );
return true;
}