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CGAL 6.0 - 2D and 3D Linear Geometry Kernel
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AdaptableQuaternaryFunction CGAL::Sphere_3<Kernel> Operations | |
A model of this concept must provide: | |
| Kernel::Sphere_3 | operator() (const Kernel::Point_3 ¢er, const Kernel::FT &squared_radius, const Orientation &orientation=COUNTERCLOCKWISE) |
introduces a sphere initialized to the sphere with center center, squared radius squared_radius and orientation orientation. | |
| Kernel::Sphere_3 | operator() (const Kernel::Point_3 &p, const Kernel::Point_3 &q, const Kernel::Point_3 &r, const Kernel::Point_3 &s) |
introduces a sphere initialized to the unique sphere which passes through the points p, q, r and s. | |
| Kernel::Sphere_3 | operator() (const Kernel::Point_3 &p, const Kernel::Point_3 &q, const Kernel::Point_3 &r, const Orientation &o=COUNTERCLOCKWISE) |
introduces a sphere initialized to the smallest sphere which passes through the points p, q, and r. | |
| Kernel::Sphere_3 | operator() (const Kernel::Point_3 &p, const Kernel::Point_3 &q, const Orientation &o=COUNTERCLOCKWISE) |
introduces a sphere initialized to the smallest sphere which passes through the points p and q. | |
| Kernel::Sphere_3 | operator() (const Kernel::Point_3 ¢er, const Orientation &orientation=COUNTERCLOCKWISE) |
introduces a sphere s initialized to the sphere with center center, squared radius zero and orientation orientation. | |
| Kernel::Sphere_3 | operator() (const Kernel::Circle_3 &c) |
| introduces a sphere initialized to the diametral sphere of the circle. | |
| Kernel::Sphere_3 Kernel::ConstructSphere_3::operator() | ( | const Kernel::Point_3 & | center, |
| const Kernel::FT & | squared_radius, | ||
| const Orientation & | orientation = COUNTERCLOCKWISE |
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| ) |
introduces a sphere initialized to the sphere with center center, squared radius squared_radius and orientation orientation.
orientation != CGAL::COPLANAR and squared_radius >= 0. | Kernel::Sphere_3 Kernel::ConstructSphere_3::operator() | ( | const Kernel::Point_3 & | center, |
| const Orientation & | orientation = COUNTERCLOCKWISE |
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| ) |
introduces a sphere s initialized to the sphere with center center, squared radius zero and orientation orientation.
orientation != CGAL::COPLANAR. s.is_degenerate() = true. | Kernel::Sphere_3 Kernel::ConstructSphere_3::operator() | ( | const Kernel::Point_3 & | p, |
| const Kernel::Point_3 & | q, | ||
| const Kernel::Point_3 & | r, | ||
| const Kernel::Point_3 & | s | ||
| ) |
introduces a sphere initialized to the unique sphere which passes through the points p, q, r and s.
The orientation of the sphere is the orientation of the point quadruple p, q, r, s.
p, q, r, and s are not coplanar. | Kernel::Sphere_3 Kernel::ConstructSphere_3::operator() | ( | const Kernel::Point_3 & | p, |
| const Kernel::Point_3 & | q, | ||
| const Kernel::Point_3 & | r, | ||
| const Orientation & | o = COUNTERCLOCKWISE |
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| ) |
introduces a sphere initialized to the smallest sphere which passes through the points p, q, and r.
The orientation of the sphere is o.
o != CGAL::COPLANAR. | Kernel::Sphere_3 Kernel::ConstructSphere_3::operator() | ( | const Kernel::Point_3 & | p, |
| const Kernel::Point_3 & | q, | ||
| const Orientation & | o = COUNTERCLOCKWISE |
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| ) |
introduces a sphere initialized to the smallest sphere which passes through the points p and q.
The orientation of the sphere is o.
o != CGAL::COPLANAR.