mirror of https://github.com/CGAL/cgal
Reworded ExactAlphaComparisonTag warning
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@ -35,13 +35,14 @@ does not make sense if the traits class already provides exact constructions.
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\warning When the tag `ExactAlphaComparisonTag` is set to \link Tag_true `Tag_true`\endlink,
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\warning When the tag `ExactAlphaComparisonTag` is set to \link Tag_true `Tag_true`\endlink,
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the class `Cartesian_converter` is used internally to switch between the traits class
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the class `Cartesian_converter` is used internally to switch between the traits class
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and exact CGAL kernels. `Cartesian_converter` must thus provide the necessary functor
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and the %CGAL kernel `CGAL::Simple_cartesian<NT>`, where `NT` can be either `CGAL::Interval_nt` or
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to convert a point of the traits class to a point of an exact kernel. However, this
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`CGAL::Exact_rational`. `Cartesian_converter` must thus offer the necessary functors
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functor is not necessarily provided by `Cartesian_converter`. For example
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to convert a two-dimensional point of the traits class to a two-dimensional point
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when using the traits class `CGAL::Projection_traits_xy_3`, a `CGAL::Point_3`
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of `CGAL::Simple_cartesian<NT>`. However, these functors are not necessarily provided by
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is camouflaged as a `%Point_2` and the basic `Cartesian_converter` does not know
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the basic `Cartesian_converter`. For example when using the traits class `CGAL::Projection_traits_xy_3`,
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a `CGAL::Point_3` is camouflaged as a `%Point_2` and the basic `Cartesian_converter` does not know
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how to convert from the camouflaged `CGAL::Point_3` to the two-dimensional point
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how to convert from the camouflaged `CGAL::Point_3` to the two-dimensional point
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of an exact kernel. In this case, a partial specialization of `Cartesian_converter`
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of `CGAL::Simple_cartesian<NT>`. In this case, a partial specialization of `Cartesian_converter`
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must be provided by the user. An example of such specialization is given in the example
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must be provided by the user. An example of such specialization is given in the example
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\ref Alpha_shapes_2/ex_alpha_projection_traits.cpp "ex_alpha_projection_traits.cpp".
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\ref Alpha_shapes_2/ex_alpha_projection_traits.cpp "ex_alpha_projection_traits.cpp".
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@ -10,6 +10,9 @@ alpha shapes of points in the 3D space for <I>all</I> real
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of the class `Dt`. Each k-dimensional face of Dt is associated with an
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of the class `Dt`. Each k-dimensional face of Dt is associated with an
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interval that specifies for which values of alpha the face belongs to the alpha shape.
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interval that specifies for which values of alpha the face belongs to the alpha shape.
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Note that this class is used for <I>basic</I>, <I>weighted</I>,
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and <I>periodic</I> Alpha Shapes.
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The modifying functions `insert` and `remove` will overwrite
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The modifying functions `insert` and `remove` will overwrite
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the one inherited from the underlying triangulation class `Dt`.
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the one inherited from the underlying triangulation class `Dt`.
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At the moment, only the static version is implemented.
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At the moment, only the static version is implemented.
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@ -30,15 +33,15 @@ does not make sense if the traits class already provides exact constructions.
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\warning When the tag `ExactAlphaComparisonTag` is set to \link Tag_true `Tag_true`\endlink,
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\warning When the tag `ExactAlphaComparisonTag` is set to \link Tag_true `Tag_true`\endlink,
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the class `Cartesian_converter` is used internally to switch between the traits class
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the class `Cartesian_converter` is used internally to switch between the traits class
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and exact CGAL kernels. `Cartesian_converter` must thus provide the necessary functor
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and the %CGAL kernel `CGAL::Simple_cartesian<NT>`, where `NT` can be either `CGAL::Interval_nt` or
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to convert a point of the traits class to a point of an exact kernel. However, this
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`CGAL::Exact_rational`. `Cartesian_converter` must thus offer the necessary functors
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functor is not necessarily provided by `Cartesian_converter`. In this case, a partial specialization of `Cartesian_converter`
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to convert a three-dimensional point of the traits class to a three-dimensional point
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of `CGAL::Simple_cartesian<NT>`. However, these functors are not necessarily provided by
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the basic `Cartesian_converter`, for example when a custom point is used.
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In this case, a partial specialization of `Cartesian_converter`
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must be provided by the user. An example of such specialization is given in the
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must be provided by the user. An example of such specialization is given in the
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two-dimensional Alpha Shapes example \ref Alpha_shapes_2/ex_alpha_projection_traits.cpp "ex_alpha_projection_traits.cpp".
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two-dimensional Alpha Shapes example \ref Alpha_shapes_2/ex_alpha_projection_traits.cpp "ex_alpha_projection_traits.cpp".
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Note that this class is used for <I>basic</I>, <I>weighted</I>,
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and <I>periodic</I> Alpha Shapes.
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\cgalHeading{I/O}
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\cgalHeading{I/O}
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The I/O operators are defined for `iostream`, and for
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The I/O operators are defined for `iostream`, and for
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