\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.8 - Bounding Volumes

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ApproximateMinEllipsoid_d_Traits_d Concept Reference
Concepts

## Definition

This concept defines the requirements for traits classes of `CGAL::Approximate_min_ellipsoid_d<Traits>`.

Refines:

  `DefaultConstructible`

  `CopyConstructible`

  `Assignable`

Has Models:

  `CGAL::Approximate_min_ellipsoid_d_traits_2<K,ET>`

  `CGAL::Approximate_min_ellipsoid_d_traits_3<K,ET>`

  `CGAL::Approximate_min_ellipsoid_d_traits_d<K,ET>`

See Also
  `CGAL::Min_ellipse_2<Traits>`

## Types
typedef unspecified_type | FT
| `typedef double FT`
typedef unspecified_type | ET
| Some model of concept `RingNumberType` that provides exact arithmetic. More...
typedef unspecified_type | Point
| Type of the input points. More...
typedef unspecified_type | Cartesian_const_iterator
| Model for the STL concept `RandomAccessIterator` whose value type must be convertible to `double`. More...

## Access Functions
int | dimension (const Point &p)
| returns the dimension of a point `p`.
Cartesian_const_iterator | cartesian_begin (const Point &p)
| returns an input iterator over the Euclidean coordinates of the point \( p\). More...

## Member Typedef Documentation

typedef unspecified_type ApproximateMinEllipsoid_d_Traits_d::Cartesian_const_iterator

Model for the STL concept `RandomAccessIterator` whose value type must be convertible to `double`.

This type is used to iterate over the Cartesian coordinates of an instance of type `Point`, see `cartesian_begin()` below.

typedef unspecified_type ApproximateMinEllipsoid_d_Traits_d::ET

Some model of concept `RingNumberType` that provides exact arithmetic.

In addition, `ET` must be able to exactly represent any finite `double` value. (An example for such a type is `CGAL::MP_Float`.). The type `ET` is to be used by the `Approximate_min_ellipsoid_d<Traits>` class for internal, exact computations.

typedef unspecified_type ApproximateMinEllipsoid_d_Traits_d::Point

Type of the input points.

`Point` must provide the default and copy constructor, and must be a model of `DefaultConstructible`, `CopyConstructible`, and `Assignable`.

## Member Function Documentation

Cartesian_const_iterator ApproximateMinEllipsoid_d_Traits_d::cartesian_begin | ( | const Point & | p) |  |

returns an input iterator over the Euclidean coordinates of the point \( p\).

The range of the iterator must have size `dimension(p)`.