mirror of https://github.com/CGAL/cgal
Merge remote-tracking branch 'cgal/master' into CGAL-rename_ctest_test_names-GF
# Conflicts: # Polyhedron/demo/Polyhedron/Plugins/PMP/CMakeLists.txt
This commit is contained in:
Laurent Rineau
commit
205236832e
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@ -9,7 +9,7 @@ and compute intersections between query objects and the primitives stored in the
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In addition, it contains predicates and constructors to compute distances between a point query
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In addition, it contains predicates and constructors to compute distances between a point query
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and the primitives stored in the AABB tree.
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and the primitives stored in the AABB tree.
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\cgalRefines `SearchGeomTraits_3`
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\cgalRefines{SearchGeomTraits_3}
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\cgalHasModel All models of the concept `Kernel`
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\cgalHasModel All models of the concept `Kernel`
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@ -76,7 +76,7 @@ A functor object to compare the distance of two points wrt a third one. Provides
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`CGAL::Comparison_result operator()(const Point_3& p1, const Point_3& p2, const Point_3& p3)`,
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`CGAL::Comparison_result operator()(const Point_3& p1, const Point_3& p2, const Point_3& p3)`,
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which compares the distance between `p1 and `p2`, and between `p2` and `p3`.
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which compares the distance between `p1` and `p2`, and between `p2` and `p3`.
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*/
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*/
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typedef unspecified_type Compare_distance_3;
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typedef unspecified_type Compare_distance_3;
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@ -7,7 +7,7 @@ concept `AABBGeomTraits`. In addition to the types required by
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`AABBGeomTraits` it also requires types and functors necessary to
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`AABBGeomTraits` it also requires types and functors necessary to
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define the Intersection_distance functor.
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define the Intersection_distance functor.
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\cgalRefines `AABBGeomTraits`
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\cgalRefines{AABBGeomTraits}
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\cgalHasModel All models of the concept `Kernel`
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\cgalHasModel All models of the concept `Kernel`
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@ -7,7 +7,7 @@ The concept `AABBTraits` provides the geometric primitive types and methods for
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\cgalHasModel `CGAL::AABB_traits<AABBGeomTraits,AABBPrimitive>`
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\cgalHasModel `CGAL::AABB_traits<AABBGeomTraits,AABBPrimitive>`
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\cgalRefines `SearchGeomTraits_3`
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\cgalRefines{SearchGeomTraits_3}
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\sa `CGAL::AABB_traits<AABBGeomTraits,AABBPrimitive>`
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\sa `CGAL::AABB_traits<AABBGeomTraits,AABBPrimitive>`
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\sa `CGAL::AABB_tree<AABBTraits>`
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\sa `CGAL::AABB_tree<AABBTraits>`
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@ -9,7 +9,7 @@ used in the class `CGAL::Advancing_front_surface_reconstruction`.
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It defines the geometric objects (points, segments...) forming the triangulation
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It defines the geometric objects (points, segments...) forming the triangulation
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together with a few geometric predicates and constructions on these objects.
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together with a few geometric predicates and constructions on these objects.
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\cgalRefines `DelaunayTriangulationTraits_3`
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\cgalRefines{DelaunayTriangulationTraits_3}
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\cgalHasModel All models of `Kernel`.
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\cgalHasModel All models of `Kernel`.
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*/
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*/
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@ -186,7 +186,7 @@ namespace CGAL {
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CGAL::Advancing_front_surface_reconstruction_vertex_base_3<
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CGAL::Advancing_front_surface_reconstruction_vertex_base_3<
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CGAL::Exact_predicates_inexact_constructions_kernel>,
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CGAL::Exact_predicates_inexact_constructions_kernel>,
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CGAL::Advancing_front_surface_reconstruction_cell_base_3<
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CGAL::Advancing_front_surface_reconstruction_cell_base_3<
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CGAL::Exact_predicates_inexact_constructions_kernel> > >`
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CGAL::Exact_predicates_inexact_constructions_kernel> > >
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\endcode
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\endcode
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\tparam P must be a functor offering
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\tparam P must be a functor offering
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@ -8,7 +8,7 @@ namespace AlgebraicStructureTraits_{
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`AdaptableBinaryFunction` computes the integral quotient of division
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`AdaptableBinaryFunction` computes the integral quotient of division
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with remainder.
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with remainder.
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\cgalRefines `AdaptableBinaryFunction`
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\cgalRefines{AdaptableBinaryFunction}
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\sa `AlgebraicStructureTraits`
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\sa `AlgebraicStructureTraits`
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\sa `AlgebraicStructureTraits_::Mod`
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\sa `AlgebraicStructureTraits_::Mod`
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@ -58,4 +58,4 @@ template <class NT1, class NT2> result_type operator()(NT1 x, NT2 y);
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}; /* end Div */
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}; /* end Div */
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}
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}
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@ -189,7 +189,7 @@ r
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</TABLE>
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</TABLE>
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\cgalRefines `AdaptableFunctor`
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\cgalRefines{AdaptableFunctor}
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\sa `AlgebraicStructureTraits`
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\sa `AlgebraicStructureTraits`
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\sa `AlgebraicStructureTraits_::Mod`
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\sa `AlgebraicStructureTraits_::Mod`
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@ -16,7 +16,7 @@ This functor is required to provide two operators. The first operator takes two
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arguments and returns true if the first argument divides the second argument.
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arguments and returns true if the first argument divides the second argument.
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The second operator returns \f$ c\f$ via the additional third argument.
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The second operator returns \f$ c\f$ via the additional third argument.
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\cgalRefines `AdaptableBinaryFunction`
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\cgalRefines{AdaptableBinaryFunction}
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\sa `AlgebraicStructureTraits`
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\sa `AlgebraicStructureTraits`
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\sa `AlgebraicStructureTraits_::IntegralDivision`
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\sa `AlgebraicStructureTraits_::IntegralDivision`
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@ -17,7 +17,7 @@ unit-normal (i.e.\ have unit part 1).
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to the partial order of divisibility. This is because an element \f$ a \in R\f$ is said to divide \f$ b \in R\f$, iff \f$ \exists r \in R\f$ such that \f$ a \cdot r = b\f$.
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to the partial order of divisibility. This is because an element \f$ a \in R\f$ is said to divide \f$ b \in R\f$, iff \f$ \exists r \in R\f$ such that \f$ a \cdot r = b\f$.
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Thus, \f$ 0\f$ is divided by every element of the Ring, in particular by itself.
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Thus, \f$ 0\f$ is divided by every element of the Ring, in particular by itself.
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\cgalRefines `AdaptableBinaryFunction`
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\cgalRefines{AdaptableBinaryFunction}
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\sa `AlgebraicStructureTraits`
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\sa `AlgebraicStructureTraits`
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@ -13,7 +13,7 @@ exists (i.e.\ if \f$ x\f$ is divisible by \f$ y\f$). Otherwise the effect of inv
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this operation is undefined. Since the ring represented is an integral domain,
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this operation is undefined. Since the ring represented is an integral domain,
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\f$ z\f$ is uniquely defined if it exists.
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\f$ z\f$ is uniquely defined if it exists.
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\cgalRefines `AdaptableBinaryFunction`
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\cgalRefines{AdaptableBinaryFunction}
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\sa `AlgebraicStructureTraits`
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\sa `AlgebraicStructureTraits`
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\sa `AlgebraicStructureTraits_::Divides`
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\sa `AlgebraicStructureTraits_::Divides`
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@ -8,7 +8,7 @@ namespace AlgebraicStructureTraits_{
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`AdaptableUnaryFunction` providing the inverse element with
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`AdaptableUnaryFunction` providing the inverse element with
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respect to multiplication of a `Field`.
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respect to multiplication of a `Field`.
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\cgalRefines `AdaptableUnaryFunction`
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\cgalRefines{AdaptableUnaryFunction}
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\sa `AlgebraicStructureTraits`
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\sa `AlgebraicStructureTraits`
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@ -8,7 +8,7 @@ namespace AlgebraicStructureTraits_{
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`AdaptableUnaryFunction`,
|
`AdaptableUnaryFunction`,
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returns true in case the argument is the one of the ring.
|
returns true in case the argument is the one of the ring.
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\cgalRefines `AdaptableUnaryFunction`
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\cgalRefines{AdaptableUnaryFunction}
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\sa `AlgebraicStructureTraits`
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\sa `AlgebraicStructureTraits`
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@ -13,7 +13,7 @@ A ring element \f$ x\f$ is said to be a square iff there exists a ring element \
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that \f$ x= y*y\f$. In case the ring is a `UniqueFactorizationDomain`,
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that \f$ x= y*y\f$. In case the ring is a `UniqueFactorizationDomain`,
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\f$ y\f$ is uniquely defined up to multiplication by units.
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\f$ y\f$ is uniquely defined up to multiplication by units.
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\cgalRefines `AdaptableBinaryFunction`
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\cgalRefines{AdaptableBinaryFunction}
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\sa `AlgebraicStructureTraits`
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\sa `AlgebraicStructureTraits`
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@ -7,7 +7,7 @@ namespace AlgebraicStructureTraits_{
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`AdaptableUnaryFunction`, returns true in case the argument is the zero element of the ring.
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`AdaptableUnaryFunction`, returns true in case the argument is the zero element of the ring.
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\cgalRefines `AdaptableUnaryFunction`
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\cgalRefines{AdaptableUnaryFunction}
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\sa `AlgebraicStructureTraits`
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\sa `AlgebraicStructureTraits`
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\sa `RealEmbeddableTraits_::IsZero`
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\sa `RealEmbeddableTraits_::IsZero`
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@ -7,7 +7,7 @@ namespace AlgebraicStructureTraits_{
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`AdaptableBinaryFunction` providing the k-th root.
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`AdaptableBinaryFunction` providing the k-th root.
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\cgalRefines `AdaptableBinaryFunction`
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\cgalRefines{AdaptableBinaryFunction}
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\sa `FieldWithRootOf`
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\sa `FieldWithRootOf`
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\sa `AlgebraicStructureTraits`
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\sa `AlgebraicStructureTraits`
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@ -7,7 +7,7 @@ namespace AlgebraicStructureTraits_ {
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`AdaptableBinaryFunction` computes the remainder of division with remainder.
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`AdaptableBinaryFunction` computes the remainder of division with remainder.
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|
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\cgalRefines `AdaptableBinaryFunction`
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\cgalRefines{AdaptableBinaryFunction}
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\sa `AlgebraicStructureTraits`
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\sa `AlgebraicStructureTraits`
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\sa `AlgebraicStructureTraits_::Div`
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\sa `AlgebraicStructureTraits_::Div`
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@ -8,7 +8,7 @@ namespace AlgebraicStructureTraits_{
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`AdaptableFunctor` computes a real root of a square-free univariate
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`AdaptableFunctor` computes a real root of a square-free univariate
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polynomial.
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polynomial.
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\cgalRefines `AdaptableFunctor`
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\cgalRefines{AdaptableFunctor}
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\sa `FieldWithRootOf`
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\sa `FieldWithRootOf`
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\sa `AlgebraicStructureTraits`
|
\sa `AlgebraicStructureTraits`
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|
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@ -7,7 +7,7 @@ namespace AlgebraicStructureTraits_{
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|
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This `AdaptableUnaryFunction` may simplify a given object.
|
This `AdaptableUnaryFunction` may simplify a given object.
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|
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\cgalRefines `AdaptableUnaryFunction`
|
\cgalRefines{AdaptableUnaryFunction}
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||||||
|
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||||||
\sa `AlgebraicStructureTraits`
|
\sa `AlgebraicStructureTraits`
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||||||
|
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||||||
|
|
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||||||
|
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@ -7,7 +7,7 @@ namespace AlgebraicStructureTraits_{
|
||||||
|
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`AdaptableUnaryFunction` providing the square root.
|
`AdaptableUnaryFunction` providing the square root.
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|
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||||||
\cgalRefines `AdaptableUnaryFunction`
|
\cgalRefines{AdaptableUnaryFunction}
|
||||||
|
|
||||||
\sa `AlgebraicStructureTraits`
|
\sa `AlgebraicStructureTraits`
|
||||||
|
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||||||
|
|
|
||||||
|
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@ -7,7 +7,7 @@ namespace AlgebraicStructureTraits_{
|
||||||
|
|
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`AdaptableUnaryFunction`, computing the square of the argument.
|
`AdaptableUnaryFunction`, computing the square of the argument.
|
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|
|
||||||
\cgalRefines `AdaptableUnaryFunction`
|
\cgalRefines{AdaptableUnaryFunction}
|
||||||
|
|
||||||
\sa `AlgebraicStructureTraits`
|
\sa `AlgebraicStructureTraits`
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -21,7 +21,7 @@ hence the unit-part of a non-zero integer is its sign. For a `Field`, every
|
||||||
non-zero element is a unit and is its own unit part, its unit normal
|
non-zero element is a unit and is its own unit part, its unit normal
|
||||||
associate being one. The unit part of zero is, by convention, one.
|
associate being one. The unit part of zero is, by convention, one.
|
||||||
|
|
||||||
\cgalRefines `AdaptableUnaryFunction`
|
\cgalRefines{AdaptableUnaryFunction}
|
||||||
|
|
||||||
\sa `AlgebraicStructureTraits`
|
\sa `AlgebraicStructureTraits`
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -25,7 +25,7 @@ The most prominent example of a Euclidean ring are the integers.
|
||||||
Whenever both \f$ x\f$ and \f$ y\f$ are positive, then it is conventional to choose
|
Whenever both \f$ x\f$ and \f$ y\f$ are positive, then it is conventional to choose
|
||||||
the smallest positive remainder \f$ r\f$.
|
the smallest positive remainder \f$ r\f$.
|
||||||
|
|
||||||
\cgalRefines `UniqueFactorizationDomain`
|
\cgalRefines{UniqueFactorizationDomain}
|
||||||
|
|
||||||
\sa `IntegralDomainWithoutDivision`
|
\sa `IntegralDomainWithoutDivision`
|
||||||
\sa `IntegralDomain`
|
\sa `IntegralDomain`
|
||||||
|
|
|
||||||
|
|
@ -16,7 +16,7 @@ Moreover, `CGAL::Algebraic_structure_traits< Field >` is a model of
|
||||||
- \link AlgebraicStructureTraits::Algebraic_category `CGAL::Algebraic_structure_traits< Field >::Algebraic_category` \endlink derived from `CGAL::Field_tag`
|
- \link AlgebraicStructureTraits::Algebraic_category `CGAL::Algebraic_structure_traits< Field >::Algebraic_category` \endlink derived from `CGAL::Field_tag`
|
||||||
- \link AlgebraicStructureTraits::Inverse `CGAL::Algebraic_structure_traits< FieldWithSqrt >::Inverse` \endlink which is a model of `AlgebraicStructureTraits_::Inverse`
|
- \link AlgebraicStructureTraits::Inverse `CGAL::Algebraic_structure_traits< FieldWithSqrt >::Inverse` \endlink which is a model of `AlgebraicStructureTraits_::Inverse`
|
||||||
|
|
||||||
\cgalRefines `IntegralDomain`
|
\cgalRefines{IntegralDomain}
|
||||||
|
|
||||||
\sa `IntegralDomainWithoutDivision`
|
\sa `IntegralDomainWithoutDivision`
|
||||||
\sa `IntegralDomain`
|
\sa `IntegralDomain`
|
||||||
|
|
|
||||||
|
|
@ -7,8 +7,7 @@ The concept `FieldNumberType` combines the requirements of the concepts
|
||||||
A model of `FieldNumberType` can be used as a template parameter
|
A model of `FieldNumberType` can be used as a template parameter
|
||||||
for Cartesian kernels.
|
for Cartesian kernels.
|
||||||
|
|
||||||
\cgalRefines `Field`
|
\cgalRefines{Field,RealEmbeddable}
|
||||||
\cgalRefines `RealEmbeddable`
|
|
||||||
|
|
||||||
\cgalHasModel float
|
\cgalHasModel float
|
||||||
\cgalHasModel double
|
\cgalHasModel double
|
||||||
|
|
|
||||||
|
|
@ -10,7 +10,7 @@ Moreover, `CGAL::Algebraic_structure_traits< FieldWithKthRoot >` is a model of `
|
||||||
- \link AlgebraicStructureTraits::Algebraic_category `CGAL::Algebraic_structure_traits< FieldWithKthRoot >::Algebraic_category` \endlink derived from `CGAL::Field_with_kth_root_tag`
|
- \link AlgebraicStructureTraits::Algebraic_category `CGAL::Algebraic_structure_traits< FieldWithKthRoot >::Algebraic_category` \endlink derived from `CGAL::Field_with_kth_root_tag`
|
||||||
- \link AlgebraicStructureTraits::Kth_root `CGAL::Algebraic_structure_traits< FieldWithKthRoot >::Kth_root` \endlink which is a model of `AlgebraicStructureTraits_::KthRoot`
|
- \link AlgebraicStructureTraits::Kth_root `CGAL::Algebraic_structure_traits< FieldWithKthRoot >::Kth_root` \endlink which is a model of `AlgebraicStructureTraits_::KthRoot`
|
||||||
|
|
||||||
\cgalRefines `FieldWithSqrt`
|
\cgalRefines{FieldWithSqrt}
|
||||||
|
|
||||||
\sa `IntegralDomainWithoutDivision`
|
\sa `IntegralDomainWithoutDivision`
|
||||||
\sa `IntegralDomain`
|
\sa `IntegralDomain`
|
||||||
|
|
|
||||||
|
|
@ -11,7 +11,7 @@ Moreover, `CGAL::Algebraic_structure_traits< FieldWithRootOf >` is a model of `A
|
||||||
- \link AlgebraicStructureTraits::Algebraic_category `CGAL::Algebraic_structure_traits< FieldWithRootOf >::Algebraic_category` \endlink derived from `CGAL::Field_with_kth_root_tag`
|
- \link AlgebraicStructureTraits::Algebraic_category `CGAL::Algebraic_structure_traits< FieldWithRootOf >::Algebraic_category` \endlink derived from `CGAL::Field_with_kth_root_tag`
|
||||||
- \link AlgebraicStructureTraits::Root_of `CGAL::Algebraic_structure_traits< FieldWithRootOf >::Root_of` \endlink which is a model of `AlgebraicStructureTraits_::RootOf`
|
- \link AlgebraicStructureTraits::Root_of `CGAL::Algebraic_structure_traits< FieldWithRootOf >::Root_of` \endlink which is a model of `AlgebraicStructureTraits_::RootOf`
|
||||||
|
|
||||||
\cgalRefines `FieldWithKthRoot`
|
\cgalRefines{FieldWithKthRoot}
|
||||||
|
|
||||||
\sa `IntegralDomainWithoutDivision`
|
\sa `IntegralDomainWithoutDivision`
|
||||||
\sa `IntegralDomain`
|
\sa `IntegralDomain`
|
||||||
|
|
|
||||||
|
|
@ -10,7 +10,7 @@ Moreover, `CGAL::Algebraic_structure_traits< FieldWithSqrt >` is a model of `Alg
|
||||||
- \link AlgebraicStructureTraits::Algebraic_category `CGAL::Algebraic_structure_traits< FieldWithSqrt >::Algebraic_category` \endlink derived from `CGAL::Field_with_sqrt_tag`
|
- \link AlgebraicStructureTraits::Algebraic_category `CGAL::Algebraic_structure_traits< FieldWithSqrt >::Algebraic_category` \endlink derived from `CGAL::Field_with_sqrt_tag`
|
||||||
- \link AlgebraicStructureTraits::Sqrt `CGAL::Algebraic_structure_traits< FieldWithSqrt >::Sqrt` \endlink which is a model of `AlgebraicStructureTraits_::Sqrt`
|
- \link AlgebraicStructureTraits::Sqrt `CGAL::Algebraic_structure_traits< FieldWithSqrt >::Sqrt` \endlink which is a model of `AlgebraicStructureTraits_::Sqrt`
|
||||||
|
|
||||||
\cgalRefines `Field`
|
\cgalRefines{Field}
|
||||||
|
|
||||||
\sa `IntegralDomainWithoutDivision`
|
\sa `IntegralDomainWithoutDivision`
|
||||||
\sa `IntegralDomain`
|
\sa `IntegralDomain`
|
||||||
|
|
|
||||||
|
|
@ -113,7 +113,7 @@ FractionTraits::Denominator_type & d);
|
||||||
|
|
||||||
`AdaptableBinaryFunction`, returns the fraction of its arguments.
|
`AdaptableBinaryFunction`, returns the fraction of its arguments.
|
||||||
|
|
||||||
\cgalRefines `AdaptableBinaryFunction`
|
\cgalRefines{AdaptableBinaryFunction}
|
||||||
|
|
||||||
\sa `Fraction`
|
\sa `Fraction`
|
||||||
\sa `FractionTraits`
|
\sa `FractionTraits`
|
||||||
|
|
@ -168,7 +168,7 @@ This can be considered as a relaxed version of `AlgebraicStructureTraits_::Gcd`,
|
||||||
this is needed because it is not guaranteed that `FractionTraits::Denominator_type` is a model of
|
this is needed because it is not guaranteed that `FractionTraits::Denominator_type` is a model of
|
||||||
`UniqueFactorizationDomain`.
|
`UniqueFactorizationDomain`.
|
||||||
|
|
||||||
\cgalRefines `AdaptableBinaryFunction`
|
\cgalRefines{AdaptableBinaryFunction}
|
||||||
|
|
||||||
\sa `Fraction`
|
\sa `Fraction`
|
||||||
\sa `FractionTraits`
|
\sa `FractionTraits`
|
||||||
|
|
|
||||||
|
|
@ -16,7 +16,7 @@ In this case
|
||||||
\link CGAL::Coercion_traits::Are_implicit_interoperable `CGAL::Coercion_traits<A,B>::Are_implicit_interoperable`\endlink
|
\link CGAL::Coercion_traits::Are_implicit_interoperable `CGAL::Coercion_traits<A,B>::Are_implicit_interoperable`\endlink
|
||||||
is `CGAL::Tag_true`.
|
is `CGAL::Tag_true`.
|
||||||
|
|
||||||
\cgalRefines `ExplicitInteroperable`
|
\cgalRefines{ExplicitInteroperable}
|
||||||
|
|
||||||
\sa `CGAL::Coercion_traits<A,B>`
|
\sa `CGAL::Coercion_traits<A,B>`
|
||||||
\sa `ExplicitInteroperable`
|
\sa `ExplicitInteroperable`
|
||||||
|
|
|
||||||
|
|
@ -16,7 +16,7 @@ Moreover, `CGAL::Algebraic_structure_traits< IntegralDomain >` is a model of
|
||||||
- \link AlgebraicStructureTraits::Integral_division `CGAL::Algebraic_structure_traits< IntegralDomain >::Integral_division` \endlink which is a model of `AlgebraicStructureTraits_::IntegralDivision`
|
- \link AlgebraicStructureTraits::Integral_division `CGAL::Algebraic_structure_traits< IntegralDomain >::Integral_division` \endlink which is a model of `AlgebraicStructureTraits_::IntegralDivision`
|
||||||
- \link AlgebraicStructureTraits::Divides `CGAL::Algebraic_structure_traits< IntegralDomain >::Divides` \endlink which is a model of `AlgebraicStructureTraits_::Divides`
|
- \link AlgebraicStructureTraits::Divides `CGAL::Algebraic_structure_traits< IntegralDomain >::Divides` \endlink which is a model of `AlgebraicStructureTraits_::Divides`
|
||||||
|
|
||||||
\cgalRefines `IntegralDomainWithoutDivision`
|
\cgalRefines{IntegralDomainWithoutDivision}
|
||||||
|
|
||||||
\sa `IntegralDomainWithoutDivision`
|
\sa `IntegralDomainWithoutDivision`
|
||||||
\sa `IntegralDomain`
|
\sa `IntegralDomain`
|
||||||
|
|
|
||||||
|
|
@ -29,11 +29,7 @@ Moreover, `CGAL::Algebraic_structure_traits< IntegralDomainWithoutDivision >` is
|
||||||
- \link AlgebraicStructureTraits::Simplify `CGAL::Algebraic_structure_traits< IntegralDomainWithoutDivision >::Simplify` \endlink which is a model of `AlgebraicStructureTraits_::Simplify`
|
- \link AlgebraicStructureTraits::Simplify `CGAL::Algebraic_structure_traits< IntegralDomainWithoutDivision >::Simplify` \endlink which is a model of `AlgebraicStructureTraits_::Simplify`
|
||||||
- \link AlgebraicStructureTraits::Unit_part `CGAL::Algebraic_structure_traits< IntegralDomainWithoutDivision >::Unit_part` \endlink which is a model of `AlgebraicStructureTraits_::UnitPart`
|
- \link AlgebraicStructureTraits::Unit_part `CGAL::Algebraic_structure_traits< IntegralDomainWithoutDivision >::Unit_part` \endlink which is a model of `AlgebraicStructureTraits_::UnitPart`
|
||||||
|
|
||||||
\cgalRefines `Assignable`
|
\cgalRefines{Assignable,CopyConstructible,DefaultConstructible,EqualityComparable,FromIntConstructible}
|
||||||
\cgalRefines `CopyConstructible`
|
|
||||||
\cgalRefines `DefaultConstructible`
|
|
||||||
\cgalRefines `EqualityComparable`
|
|
||||||
\cgalRefines `FromIntConstructible`
|
|
||||||
|
|
||||||
\sa `IntegralDomainWithoutDivision`
|
\sa `IntegralDomainWithoutDivision`
|
||||||
\sa `IntegralDomain`
|
\sa `IntegralDomain`
|
||||||
|
|
|
||||||
|
|
@ -38,8 +38,7 @@ If a number type is a model of both `IntegralDomainWithoutDivision` and
|
||||||
`RealEmbeddable`, it follows that the ring represented by such a number type
|
`RealEmbeddable`, it follows that the ring represented by such a number type
|
||||||
is a sub-ring of the real numbers and hence has characteristic zero.
|
is a sub-ring of the real numbers and hence has characteristic zero.
|
||||||
|
|
||||||
\cgalRefines `EqualityComparable`
|
\cgalRefines{EqualityComparable,LessThanComparable}
|
||||||
\cgalRefines `LessThanComparable`
|
|
||||||
|
|
||||||
\sa `RealEmbeddableTraits`
|
\sa `RealEmbeddableTraits`
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -7,7 +7,7 @@ namespace RealEmbeddableTraits_ {
|
||||||
|
|
||||||
`AdaptableUnaryFunction` computes the absolute value of a number.
|
`AdaptableUnaryFunction` computes the absolute value of a number.
|
||||||
|
|
||||||
\cgalRefines `AdaptableUnaryFunction`
|
\cgalRefines{AdaptableUnaryFunction}
|
||||||
|
|
||||||
\sa `RealEmbeddableTraits`
|
\sa `RealEmbeddableTraits`
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -7,7 +7,7 @@ namespace RealEmbeddableTraits_ {
|
||||||
|
|
||||||
`AdaptableBinaryFunction` compares two real embeddable numbers.
|
`AdaptableBinaryFunction` compares two real embeddable numbers.
|
||||||
|
|
||||||
\cgalRefines `AdaptableBinaryFunction`
|
\cgalRefines{AdaptableBinaryFunction}
|
||||||
|
|
||||||
\sa `RealEmbeddableTraits`
|
\sa `RealEmbeddableTraits`
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -7,7 +7,7 @@ namespace RealEmbeddableTraits_ {
|
||||||
|
|
||||||
`AdaptableUnaryFunction`, returns true in case the argument is negative.
|
`AdaptableUnaryFunction`, returns true in case the argument is negative.
|
||||||
|
|
||||||
\cgalRefines `AdaptableUnaryFunction`
|
\cgalRefines{AdaptableUnaryFunction}
|
||||||
|
|
||||||
\sa `RealEmbeddableTraits`
|
\sa `RealEmbeddableTraits`
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -7,7 +7,7 @@ namespace RealEmbeddableTraits_ {
|
||||||
|
|
||||||
`AdaptableUnaryFunction`, returns true in case the argument is positive.
|
`AdaptableUnaryFunction`, returns true in case the argument is positive.
|
||||||
|
|
||||||
\cgalRefines `AdaptableUnaryFunction`
|
\cgalRefines{AdaptableUnaryFunction}
|
||||||
|
|
||||||
\sa `RealEmbeddableTraits`
|
\sa `RealEmbeddableTraits`
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -7,7 +7,7 @@ namespace RealEmbeddableTraits_ {
|
||||||
|
|
||||||
`AdaptableUnaryFunction`, returns true in case the argument is 0.
|
`AdaptableUnaryFunction`, returns true in case the argument is 0.
|
||||||
|
|
||||||
\cgalRefines `AdaptableUnaryFunction`
|
\cgalRefines{AdaptableUnaryFunction}
|
||||||
|
|
||||||
\sa `RealEmbeddableTraits`
|
\sa `RealEmbeddableTraits`
|
||||||
\sa `AlgebraicStructureTraits_::IsZero`
|
\sa `AlgebraicStructureTraits_::IsZero`
|
||||||
|
|
|
||||||
|
|
@ -7,7 +7,7 @@ namespace RealEmbeddableTraits_ {
|
||||||
|
|
||||||
This `AdaptableUnaryFunction` computes the sign of a real embeddable number.
|
This `AdaptableUnaryFunction` computes the sign of a real embeddable number.
|
||||||
|
|
||||||
\cgalRefines `AdaptableUnaryFunction`
|
\cgalRefines{AdaptableUnaryFunction}
|
||||||
|
|
||||||
\sa `RealEmbeddableTraits`
|
\sa `RealEmbeddableTraits`
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -11,7 +11,7 @@ embeddable number.
|
||||||
Remark: In order to control the quality of approximation one has to resort
|
Remark: In order to control the quality of approximation one has to resort
|
||||||
to methods that are specific to NT. There are no general guarantees whatsoever.
|
to methods that are specific to NT. There are no general guarantees whatsoever.
|
||||||
|
|
||||||
\cgalRefines `AdaptableUnaryFunction`
|
\cgalRefines{AdaptableUnaryFunction}
|
||||||
|
|
||||||
\sa `RealEmbeddableTraits`
|
\sa `RealEmbeddableTraits`
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -9,7 +9,7 @@ namespace RealEmbeddableTraits_ {
|
||||||
number \f$ x\f$ a double interval containing \f$ x\f$.
|
number \f$ x\f$ a double interval containing \f$ x\f$.
|
||||||
This interval is represented by `std::pair<double,double>`.
|
This interval is represented by `std::pair<double,double>`.
|
||||||
|
|
||||||
\cgalRefines `AdaptableUnaryFunction`
|
\cgalRefines{AdaptableUnaryFunction}
|
||||||
|
|
||||||
\sa `RealEmbeddableTraits`
|
\sa `RealEmbeddableTraits`
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -8,8 +8,7 @@ The concept `RingNumberType` combines the requirements of the concepts
|
||||||
A model of `RingNumberType` can be used as a template parameter
|
A model of `RingNumberType` can be used as a template parameter
|
||||||
for Homogeneous kernels.
|
for Homogeneous kernels.
|
||||||
|
|
||||||
\cgalRefines `IntegralDomainWithoutDivision`
|
\cgalRefines{IntegralDomainWithoutDivision,RealEmbeddable}
|
||||||
\cgalRefines `RealEmbeddable`
|
|
||||||
|
|
||||||
\cgalHasModel \cpp built-in number types
|
\cgalHasModel \cpp built-in number types
|
||||||
\cgalHasModel `CGAL::Gmpq`
|
\cgalHasModel `CGAL::Gmpq`
|
||||||
|
|
|
||||||
|
|
@ -23,7 +23,7 @@ is a model of `AlgebraicStructureTraits` providing:
|
||||||
derived from `CGAL::Unique_factorization_domain_tag`
|
derived from `CGAL::Unique_factorization_domain_tag`
|
||||||
- \link AlgebraicStructureTraits::Gcd `CGAL::Algebraic_structure_traits< UniqueFactorizationDomain >::Gcd` \endlink which is a model of `AlgebraicStructureTraits_::Gcd`
|
- \link AlgebraicStructureTraits::Gcd `CGAL::Algebraic_structure_traits< UniqueFactorizationDomain >::Gcd` \endlink which is a model of `AlgebraicStructureTraits_::Gcd`
|
||||||
|
|
||||||
\cgalRefines `IntegralDomain`
|
\cgalRefines{IntegralDomain}
|
||||||
|
|
||||||
\sa `IntegralDomainWithoutDivision`
|
\sa `IntegralDomainWithoutDivision`
|
||||||
\sa `IntegralDomain`
|
\sa `IntegralDomain`
|
||||||
|
|
|
||||||
|
|
@ -7,7 +7,7 @@ A model of `AlgebraicKernel_d_1::ApproximateAbsolute_1` is an `AdaptableBinaryFu
|
||||||
approximation of an `AlgebraicKernel_d_1::Algebraic_real_1` value with
|
approximation of an `AlgebraicKernel_d_1::Algebraic_real_1` value with
|
||||||
respect to a given absolute precision.
|
respect to a given absolute precision.
|
||||||
|
|
||||||
\cgalRefines `AdaptableBinaryFunction`
|
\cgalRefines{AdaptableBinaryFunction}
|
||||||
|
|
||||||
\sa `AlgebraicKernel_d_1::ApproximateRelative_1`
|
\sa `AlgebraicKernel_d_1::ApproximateRelative_1`
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -7,7 +7,7 @@ A model of `AlgebraicKernel_d_1::ApproximateRelative_1` is an `AdaptableBinaryFu
|
||||||
approximation of an `AlgebraicKernel_d_1::Algebraic_real_1` value with
|
approximation of an `AlgebraicKernel_d_1::Algebraic_real_1` value with
|
||||||
respect to a given relative precision.
|
respect to a given relative precision.
|
||||||
|
|
||||||
\cgalRefines `AdaptableBinaryFunction`
|
\cgalRefines{AdaptableBinaryFunction}
|
||||||
|
|
||||||
\sa `AlgebraicKernel_d_1::ApproximateAbsolute_1`
|
\sa `AlgebraicKernel_d_1::ApproximateAbsolute_1`
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -7,7 +7,7 @@ Computes a number of type
|
||||||
`AlgebraicKernel_d_1::Bound` in-between two
|
`AlgebraicKernel_d_1::Bound` in-between two
|
||||||
`AlgebraicKernel_d_1::Algebraic_real_1` values.
|
`AlgebraicKernel_d_1::Algebraic_real_1` values.
|
||||||
|
|
||||||
\cgalRefines `AdaptableBinaryFunction`
|
\cgalRefines{AdaptableBinaryFunction}
|
||||||
|
|
||||||
*/
|
*/
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -5,7 +5,7 @@
|
||||||
|
|
||||||
Compares `AlgebraicKernel_d_1::Algebraic_real_1` values.
|
Compares `AlgebraicKernel_d_1::Algebraic_real_1` values.
|
||||||
|
|
||||||
\cgalRefines `AdaptableBinaryFunction`
|
\cgalRefines{AdaptableBinaryFunction}
|
||||||
|
|
||||||
*/
|
*/
|
||||||
class AlgebraicKernel_d_1::Compare_1 {
|
class AlgebraicKernel_d_1::Compare_1 {
|
||||||
|
|
|
||||||
|
|
@ -6,7 +6,7 @@
|
||||||
Computes a square free univariate polynomial \f$ p\f$, such that the given
|
Computes a square free univariate polynomial \f$ p\f$, such that the given
|
||||||
`AlgebraicKernel_d_1::Algebraic_real_1` is a root of \f$ p\f$.
|
`AlgebraicKernel_d_1::Algebraic_real_1` is a root of \f$ p\f$.
|
||||||
|
|
||||||
\cgalRefines `AdaptableUnaryFunction`
|
\cgalRefines{AdaptableUnaryFunction}
|
||||||
|
|
||||||
\sa `AlgebraicKernel_d_1::Isolate_1`
|
\sa `AlgebraicKernel_d_1::Isolate_1`
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -5,7 +5,7 @@
|
||||||
|
|
||||||
Constructs `AlgebraicKernel_d_1::Algebraic_real_1`.
|
Constructs `AlgebraicKernel_d_1::Algebraic_real_1`.
|
||||||
|
|
||||||
\cgalRefines `AdaptableFunctor`
|
\cgalRefines{AdaptableFunctor}
|
||||||
|
|
||||||
\sa `AlgebraicKernel_d_2::ConstructAlgebraicReal_2`
|
\sa `AlgebraicKernel_d_2::ConstructAlgebraicReal_2`
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -6,7 +6,7 @@
|
||||||
Determines whether a given pair of univariate polynomials \f$ p_1, p_2\f$ is coprime,
|
Determines whether a given pair of univariate polynomials \f$ p_1, p_2\f$ is coprime,
|
||||||
namely if \f$ \deg({\rm gcd}(p_1 ,p_2)) = 0\f$.
|
namely if \f$ \deg({\rm gcd}(p_1 ,p_2)) = 0\f$.
|
||||||
|
|
||||||
\cgalRefines `AdaptableBinaryFunction`
|
\cgalRefines{AdaptableBinaryFunction}
|
||||||
|
|
||||||
\sa `AlgebraicKernel_d_1::MakeCoprime_1`
|
\sa `AlgebraicKernel_d_1::MakeCoprime_1`
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -5,7 +5,7 @@
|
||||||
|
|
||||||
Computes whether the given univariate polynomial is square free.
|
Computes whether the given univariate polynomial is square free.
|
||||||
|
|
||||||
\cgalRefines `AdaptableUnaryFunction`
|
\cgalRefines{AdaptableUnaryFunction}
|
||||||
|
|
||||||
\sa `AlgebraicKernel_d_1::MakeSquareFree_1`
|
\sa `AlgebraicKernel_d_1::MakeSquareFree_1`
|
||||||
\sa `AlgebraicKernel_d_1::SquareFreeFactorize_1`
|
\sa `AlgebraicKernel_d_1::SquareFreeFactorize_1`
|
||||||
|
|
|
||||||
|
|
@ -6,7 +6,7 @@
|
||||||
Computes whether an `AlgebraicKernel_d_1::Polynomial_1`
|
Computes whether an `AlgebraicKernel_d_1::Polynomial_1`
|
||||||
is zero at a given `AlgebraicKernel_d_1::Algebraic_real_1`.
|
is zero at a given `AlgebraicKernel_d_1::Algebraic_real_1`.
|
||||||
|
|
||||||
\cgalRefines `AdaptableBinaryFunction`
|
\cgalRefines{AdaptableBinaryFunction}
|
||||||
|
|
||||||
\sa `AlgebraicKernel_d_1::SignAt_1`
|
\sa `AlgebraicKernel_d_1::SignAt_1`
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -6,7 +6,7 @@
|
||||||
Computes an open isolating interval for an `AlgebraicKernel_d_1::Algebraic_real_1`
|
Computes an open isolating interval for an `AlgebraicKernel_d_1::Algebraic_real_1`
|
||||||
with respect to the real roots of a given univariate polynomial.
|
with respect to the real roots of a given univariate polynomial.
|
||||||
|
|
||||||
\cgalRefines `AdaptableBinaryFunction`
|
\cgalRefines{AdaptableBinaryFunction}
|
||||||
|
|
||||||
\sa `AlgebraicKernel_d_1::ComputePolynomial_1`
|
\sa `AlgebraicKernel_d_1::ComputePolynomial_1`
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -16,7 +16,7 @@ such that \f$ q_1\f$ and \f$ q_2\f$ are coprime.
|
||||||
|
|
||||||
It returns true if \f$ p_1\f$ and \f$ p_2\f$ are already coprime.
|
It returns true if \f$ p_1\f$ and \f$ p_2\f$ are already coprime.
|
||||||
|
|
||||||
\cgalRefines `AdaptableFunctor` with five arguments
|
\cgalRefines{AdaptableQuinaryFunction}
|
||||||
|
|
||||||
\sa `AlgebraicKernel_d_1::IsCoprime_1`
|
\sa `AlgebraicKernel_d_1::IsCoprime_1`
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -5,7 +5,7 @@
|
||||||
|
|
||||||
Returns a square free part of a univariate polynomial.
|
Returns a square free part of a univariate polynomial.
|
||||||
|
|
||||||
\cgalRefines `AdaptableUnaryFunction`
|
\cgalRefines{AdaptableUnaryFunction}
|
||||||
|
|
||||||
\sa `AlgebraicKernel_d_1::IsSquareFree_1`
|
\sa `AlgebraicKernel_d_1::IsSquareFree_1`
|
||||||
\sa `AlgebraicKernel_d_1::SquareFreeFactorize_1`
|
\sa `AlgebraicKernel_d_1::SquareFreeFactorize_1`
|
||||||
|
|
|
||||||
|
|
@ -5,7 +5,7 @@
|
||||||
|
|
||||||
Computes the number of real solutions of the given univariate polynomial.
|
Computes the number of real solutions of the given univariate polynomial.
|
||||||
|
|
||||||
\cgalRefines `AdaptableUnaryFunction`
|
\cgalRefines{AdaptableUnaryFunction}
|
||||||
|
|
||||||
\sa `AlgebraicKernel_d_1::ConstructAlgebraicReal_1`
|
\sa `AlgebraicKernel_d_1::ConstructAlgebraicReal_1`
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -7,7 +7,7 @@ Computes the sign of a univariate polynomial
|
||||||
`AlgebraicKernel_d_1::Polynomial_1` at a real value of type
|
`AlgebraicKernel_d_1::Polynomial_1` at a real value of type
|
||||||
`AlgebraicKernel_d_1::Algebraic_real_1`.
|
`AlgebraicKernel_d_1::Algebraic_real_1`.
|
||||||
|
|
||||||
\cgalRefines `AdaptableBinaryFunction`
|
\cgalRefines{AdaptableBinaryFunction}
|
||||||
|
|
||||||
\sa `AlgebraicKernel_d_1::IsZeroAt_1`
|
\sa `AlgebraicKernel_d_1::IsZeroAt_1`
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -5,8 +5,7 @@
|
||||||
|
|
||||||
Computes the real roots of a univariate polynomial.
|
Computes the real roots of a univariate polynomial.
|
||||||
|
|
||||||
\cgalRefines `Assignable`
|
\cgalRefines{Assignable,CopyConstructible}
|
||||||
\cgalRefines `CopyConstructible`
|
|
||||||
|
|
||||||
*/
|
*/
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -14,8 +14,7 @@ and a constant factor \f$ c\f$, such that
|
||||||
The factor multiplicity pairs \f$ <q_i,m_i>\f$ are written to the
|
The factor multiplicity pairs \f$ <q_i,m_i>\f$ are written to the
|
||||||
given output iterator. The constant factor \f$ c\f$ is not computed.
|
given output iterator. The constant factor \f$ c\f$ is not computed.
|
||||||
|
|
||||||
\cgalRefines `Assignable`
|
\cgalRefines{Assignable,CopyConstructible}
|
||||||
\cgalRefines `CopyConstructible`
|
|
||||||
|
|
||||||
\sa `AlgebraicKernel_d_1::IsSquareFree_1`
|
\sa `AlgebraicKernel_d_1::IsSquareFree_1`
|
||||||
\sa `AlgebraicKernel_d_1::MakeSquareFree_1`
|
\sa `AlgebraicKernel_d_1::MakeSquareFree_1`
|
||||||
|
|
|
||||||
|
|
@ -6,8 +6,7 @@
|
||||||
A model of the `AlgebraicKernel_d_1` concept is meant to provide the
|
A model of the `AlgebraicKernel_d_1` concept is meant to provide the
|
||||||
algebraic functionalities on univariate polynomials of general degree \f$ d\f$.
|
algebraic functionalities on univariate polynomials of general degree \f$ d\f$.
|
||||||
|
|
||||||
\cgalRefines `CopyConstructible`
|
\cgalRefines{CopyConstructible,Assignable}
|
||||||
\cgalRefines `Assignable`
|
|
||||||
|
|
||||||
\cgalHasModel `CGAL::Algebraic_kernel_rs_gmpz_d_1`
|
\cgalHasModel `CGAL::Algebraic_kernel_rs_gmpz_d_1`
|
||||||
\cgalHasModel `CGAL::Algebraic_kernel_rs_gmpq_d_1`
|
\cgalHasModel `CGAL::Algebraic_kernel_rs_gmpq_d_1`
|
||||||
|
|
|
||||||
|
|
@ -7,7 +7,7 @@ A model of `AlgebraicKernel_d_2::ApproximateAbsoluteX_2` is an `AdaptableBinaryF
|
||||||
approximation of the \f$ x\f$-coordinate of an `AlgebraicKernel_d_2::Algebraic_real_2` value
|
approximation of the \f$ x\f$-coordinate of an `AlgebraicKernel_d_2::Algebraic_real_2` value
|
||||||
with respect to a given absolute precision.
|
with respect to a given absolute precision.
|
||||||
|
|
||||||
\cgalRefines `AdaptableBinaryFunction`
|
\cgalRefines{AdaptableBinaryFunction}
|
||||||
|
|
||||||
\sa `AlgebraicKernel_d_2::ApproximateRelativeX_2`
|
\sa `AlgebraicKernel_d_2::ApproximateRelativeX_2`
|
||||||
\sa `AlgebraicKernel_d_1::ApproximateAbsolute_1`
|
\sa `AlgebraicKernel_d_1::ApproximateAbsolute_1`
|
||||||
|
|
|
||||||
|
|
@ -7,7 +7,7 @@ A model of `AlgebraicKernel_d_2::ApproximateAbsoluteY_2` is an `AdaptableBinaryF
|
||||||
approximation of the \f$ y\f$-coordinate of an `AlgebraicKernel_d_2::Algebraic_real_2` value
|
approximation of the \f$ y\f$-coordinate of an `AlgebraicKernel_d_2::Algebraic_real_2` value
|
||||||
with respect to a given absolute precision.
|
with respect to a given absolute precision.
|
||||||
|
|
||||||
\cgalRefines `AdaptableBinaryFunction`
|
\cgalRefines{AdaptableBinaryFunction}
|
||||||
|
|
||||||
\sa `AlgebraicKernel_d_2::ApproximateRelativeY_2`
|
\sa `AlgebraicKernel_d_2::ApproximateRelativeY_2`
|
||||||
\sa `AlgebraicKernel_d_1::ApproximateAbsolute_1`
|
\sa `AlgebraicKernel_d_1::ApproximateAbsolute_1`
|
||||||
|
|
|
||||||
|
|
@ -7,7 +7,7 @@ A model of `AlgebraicKernel_d_2::ApproximateRelativeX_2` is an `AdaptableBinaryF
|
||||||
approximation of the \f$ x\f$-coordinate of an `AlgebraicKernel_d_2::Algebraic_real_2` value
|
approximation of the \f$ x\f$-coordinate of an `AlgebraicKernel_d_2::Algebraic_real_2` value
|
||||||
with respect to a given relative precision.
|
with respect to a given relative precision.
|
||||||
|
|
||||||
\cgalRefines `AdaptableBinaryFunction`
|
\cgalRefines{AdaptableBinaryFunction}
|
||||||
|
|
||||||
\sa `AlgebraicKernel_d_2::ApproximateAbsoluteY_2`
|
\sa `AlgebraicKernel_d_2::ApproximateAbsoluteY_2`
|
||||||
\sa `AlgebraicKernel_d_1::ApproximateAbsolute_1`
|
\sa `AlgebraicKernel_d_1::ApproximateAbsolute_1`
|
||||||
|
|
|
||||||
|
|
@ -7,7 +7,7 @@ A model of `AlgebraicKernel_d_2::ApproximateRelativeY_2` is an `AdaptableBinaryF
|
||||||
approximation of the \f$ y\f$-coordinate of an `AlgebraicKernel_d_2::Algebraic_real_2` value
|
approximation of the \f$ y\f$-coordinate of an `AlgebraicKernel_d_2::Algebraic_real_2` value
|
||||||
with respect to a given relative precision.
|
with respect to a given relative precision.
|
||||||
|
|
||||||
\cgalRefines `AdaptableBinaryFunction`
|
\cgalRefines{AdaptableBinaryFunction}
|
||||||
|
|
||||||
\sa `AlgebraicKernel_d_2::ApproximateAbsoluteY_2`
|
\sa `AlgebraicKernel_d_2::ApproximateAbsoluteY_2`
|
||||||
\sa `AlgebraicKernel_d_1::ApproximateAbsolute_1`
|
\sa `AlgebraicKernel_d_1::ApproximateAbsolute_1`
|
||||||
|
|
|
||||||
|
|
@ -7,7 +7,7 @@ Computes a number of type
|
||||||
`AlgebraicKernel_d_1::Bound` in-between the first coordinates of two
|
`AlgebraicKernel_d_1::Bound` in-between the first coordinates of two
|
||||||
`AlgebraicKernel_d_2::AlgebraicReal_2`.
|
`AlgebraicKernel_d_2::AlgebraicReal_2`.
|
||||||
|
|
||||||
\cgalRefines `AdaptableBinaryFunction`
|
\cgalRefines{AdaptableBinaryFunction}
|
||||||
|
|
||||||
\sa `AlgebraicKernel_d_2::BoundBetweenY_2`
|
\sa `AlgebraicKernel_d_2::BoundBetweenY_2`
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -7,7 +7,7 @@ Computes a number of type
|
||||||
`AlgebraicKernel_d_1::Bound` in-between the second coordinates of two
|
`AlgebraicKernel_d_1::Bound` in-between the second coordinates of two
|
||||||
`AlgebraicKernel_d_2::AlgebraicReal_2`.
|
`AlgebraicKernel_d_2::AlgebraicReal_2`.
|
||||||
|
|
||||||
\cgalRefines `AdaptableBinaryFunction`
|
\cgalRefines{AdaptableBinaryFunction}
|
||||||
|
|
||||||
\sa `AlgebraicKernel_d_2::BoundBetweenX_2`
|
\sa `AlgebraicKernel_d_2::BoundBetweenX_2`
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -5,7 +5,7 @@
|
||||||
|
|
||||||
Compares `AlgebraicKernel_d_2::Algebraic_real_2`s lexicographically.
|
Compares `AlgebraicKernel_d_2::Algebraic_real_2`s lexicographically.
|
||||||
|
|
||||||
\cgalRefines `AdaptableBinaryFunction`
|
\cgalRefines{AdaptableBinaryFunction}
|
||||||
|
|
||||||
\sa `AlgebraicKernel_d_2::CompareX_2`
|
\sa `AlgebraicKernel_d_2::CompareX_2`
|
||||||
\sa `AlgebraicKernel_d_2::CompareY_2`
|
\sa `AlgebraicKernel_d_2::CompareY_2`
|
||||||
|
|
|
||||||
|
|
@ -5,7 +5,7 @@
|
||||||
|
|
||||||
Compares the first coordinates of `AlgebraicKernel_d_2::Algebraic_real_2`s.
|
Compares the first coordinates of `AlgebraicKernel_d_2::Algebraic_real_2`s.
|
||||||
|
|
||||||
\cgalRefines `AdaptableBinaryFunction`
|
\cgalRefines{AdaptableBinaryFunction}
|
||||||
|
|
||||||
\sa `AlgebraicKernel_d_2::CompareY_2`
|
\sa `AlgebraicKernel_d_2::CompareY_2`
|
||||||
\sa `AlgebraicKernel_d_2::CompareXY_2`
|
\sa `AlgebraicKernel_d_2::CompareXY_2`
|
||||||
|
|
|
||||||
|
|
@ -5,7 +5,7 @@
|
||||||
|
|
||||||
Compares the second coordinated of `AlgebraicKernel_d_2::Algebraic_real_2`s.
|
Compares the second coordinated of `AlgebraicKernel_d_2::Algebraic_real_2`s.
|
||||||
|
|
||||||
\cgalRefines `AdaptableBinaryFunction`
|
\cgalRefines{AdaptableBinaryFunction}
|
||||||
|
|
||||||
\sa `AlgebraicKernel_d_2::CompareX_2`
|
\sa `AlgebraicKernel_d_2::CompareX_2`
|
||||||
\sa `AlgebraicKernel_d_2::CompareXY_2`
|
\sa `AlgebraicKernel_d_2::CompareXY_2`
|
||||||
|
|
|
||||||
|
|
@ -6,7 +6,7 @@
|
||||||
Computes a univariate square free polynomial \f$ p\f$, such that the first coordinate of
|
Computes a univariate square free polynomial \f$ p\f$, such that the first coordinate of
|
||||||
a given `AlgebraicKernel_d_2::Algebraic_real_2` is a real root of \f$ p\f$.
|
a given `AlgebraicKernel_d_2::Algebraic_real_2` is a real root of \f$ p\f$.
|
||||||
|
|
||||||
\cgalRefines `AdaptableUnaryFunction`
|
\cgalRefines{AdaptableUnaryFunction}
|
||||||
|
|
||||||
\sa `AlgebraicKernel_d_2::ComputePolynomialY_2`
|
\sa `AlgebraicKernel_d_2::ComputePolynomialY_2`
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -6,7 +6,7 @@
|
||||||
Computes a univariate square free polynomial \f$ p\f$, such that the second coordinate of
|
Computes a univariate square free polynomial \f$ p\f$, such that the second coordinate of
|
||||||
a given `AlgebraicKernel_d_2::Algebraic_real_2` is a real root of \f$ p\f$.
|
a given `AlgebraicKernel_d_2::Algebraic_real_2` is a real root of \f$ p\f$.
|
||||||
|
|
||||||
\cgalRefines `AdaptableUnaryFunction`
|
\cgalRefines{AdaptableUnaryFunction}
|
||||||
|
|
||||||
\sa `AlgebraicKernel_d_2::ComputePolynomialX_2`
|
\sa `AlgebraicKernel_d_2::ComputePolynomialX_2`
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -6,7 +6,7 @@
|
||||||
Computes the first coordinate of an
|
Computes the first coordinate of an
|
||||||
`AlgebraicKernel_d_2::AlgebraicReal_2`.
|
`AlgebraicKernel_d_2::AlgebraicReal_2`.
|
||||||
|
|
||||||
\cgalRefines `AdaptableUnaryFunction`
|
\cgalRefines{AdaptableUnaryFunction}
|
||||||
|
|
||||||
\sa `AlgebraicKernel_d_2::ComputeY_2`
|
\sa `AlgebraicKernel_d_2::ComputeY_2`
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -6,7 +6,7 @@
|
||||||
Computes the second coordinate of an
|
Computes the second coordinate of an
|
||||||
`AlgebraicKernel_d_2::AlgebraicReal_2`.
|
`AlgebraicKernel_d_2::AlgebraicReal_2`.
|
||||||
|
|
||||||
\cgalRefines `AdaptableUnaryFunction`
|
\cgalRefines{AdaptableUnaryFunction}
|
||||||
|
|
||||||
\sa `AlgebraicKernel_d_2::ComputeY_2`
|
\sa `AlgebraicKernel_d_2::ComputeY_2`
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -5,7 +5,7 @@
|
||||||
|
|
||||||
Constructs an `AlgebraicKernel_d_2::Algebraic_real_2`.
|
Constructs an `AlgebraicKernel_d_2::Algebraic_real_2`.
|
||||||
|
|
||||||
\cgalRefines `AdaptableFunctor`
|
\cgalRefines{AdaptableFunctor}
|
||||||
|
|
||||||
\sa `AlgebraicKernel_d_1::ConstructAlgebraicReal_1`
|
\sa `AlgebraicKernel_d_1::ConstructAlgebraicReal_1`
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -5,7 +5,7 @@
|
||||||
|
|
||||||
Computes whether a given pair of bivariate polynomials is coprime.
|
Computes whether a given pair of bivariate polynomials is coprime.
|
||||||
|
|
||||||
\cgalRefines `AdaptableBinaryFunction`
|
\cgalRefines{AdaptableBinaryFunction}
|
||||||
|
|
||||||
\sa `AlgebraicKernel_d_2::MakeCoprime_2`
|
\sa `AlgebraicKernel_d_2::MakeCoprime_2`
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -5,7 +5,7 @@
|
||||||
|
|
||||||
Computes whether the given bivariate polynomial is square free.
|
Computes whether the given bivariate polynomial is square free.
|
||||||
|
|
||||||
\cgalRefines `AdaptableUnaryFunction`
|
\cgalRefines{AdaptableUnaryFunction}
|
||||||
|
|
||||||
\sa `AlgebraicKernel_d_2::MakeSquareFree_2`
|
\sa `AlgebraicKernel_d_2::MakeSquareFree_2`
|
||||||
\sa `AlgebraicKernel_d_2::SquareFreeFactorize_2`
|
\sa `AlgebraicKernel_d_2::SquareFreeFactorize_2`
|
||||||
|
|
|
||||||
|
|
@ -6,7 +6,7 @@
|
||||||
Computes whether an `AlgebraicKernel_d_2::Polynomial_2`
|
Computes whether an `AlgebraicKernel_d_2::Polynomial_2`
|
||||||
is zero at a given `AlgebraicKernel_d_2::Algebraic_real_2`.
|
is zero at a given `AlgebraicKernel_d_2::Algebraic_real_2`.
|
||||||
|
|
||||||
\cgalRefines `AdaptableBinaryFunction`
|
\cgalRefines{AdaptableBinaryFunction}
|
||||||
|
|
||||||
\sa `AlgebraicKernel_d_2::SignAt_2`
|
\sa `AlgebraicKernel_d_2::SignAt_2`
|
||||||
\sa `AlgebraicKernel_d_1::IsZeroAt_1`
|
\sa `AlgebraicKernel_d_1::IsZeroAt_1`
|
||||||
|
|
|
||||||
|
|
@ -6,7 +6,7 @@
|
||||||
Computes an isolating interval for the first coordinate of an `AlgebraicKernel_d_2::Algebraic_real_2`
|
Computes an isolating interval for the first coordinate of an `AlgebraicKernel_d_2::Algebraic_real_2`
|
||||||
with respect to the real roots of a univariate polynomial.
|
with respect to the real roots of a univariate polynomial.
|
||||||
|
|
||||||
\cgalRefines `AdaptableBinaryFunction`
|
\cgalRefines{AdaptableBinaryFunction}
|
||||||
|
|
||||||
\sa `AlgebraicKernel_d_2::IsolateY_2`
|
\sa `AlgebraicKernel_d_2::IsolateY_2`
|
||||||
\sa `AlgebraicKernel_d_2::ComputePolynomialX_2`
|
\sa `AlgebraicKernel_d_2::ComputePolynomialX_2`
|
||||||
|
|
|
||||||
|
|
@ -6,7 +6,7 @@
|
||||||
Computes an isolating interval for the second coordinate of an `AlgebraicKernel_d_2::Algebraic_real_2`
|
Computes an isolating interval for the second coordinate of an `AlgebraicKernel_d_2::Algebraic_real_2`
|
||||||
with respect to the real roots of a univariate polynomial.
|
with respect to the real roots of a univariate polynomial.
|
||||||
|
|
||||||
\cgalRefines `AdaptableBinaryFunction`
|
\cgalRefines{AdaptableBinaryFunction}
|
||||||
|
|
||||||
\sa `AlgebraicKernel_d_2::IsolateX_2`
|
\sa `AlgebraicKernel_d_2::IsolateX_2`
|
||||||
\sa `AlgebraicKernel_d_2::ComputePolynomialX_2`
|
\sa `AlgebraicKernel_d_2::ComputePolynomialX_2`
|
||||||
|
|
|
||||||
|
|
@ -5,7 +5,7 @@
|
||||||
|
|
||||||
Computes an isolating box for a given `AlgebraicKernel_d_2::Algebraic_real_2`.
|
Computes an isolating box for a given `AlgebraicKernel_d_2::Algebraic_real_2`.
|
||||||
|
|
||||||
\cgalRefines `AdaptableFunctor`
|
\cgalRefines{AdaptableFunctor}
|
||||||
|
|
||||||
\sa `AlgebraicKernel_d_2::IsolateX_2`
|
\sa `AlgebraicKernel_d_2::IsolateX_2`
|
||||||
\sa `AlgebraicKernel_d_2::IsolateY_2`
|
\sa `AlgebraicKernel_d_2::IsolateY_2`
|
||||||
|
|
|
||||||
|
|
@ -13,7 +13,7 @@ That is, it computes \f$ g, q_1, q_2\f$ such that:
|
||||||
\f$ c_2 \cdot p_2 = g \cdot q_2\f$ for some constant \f$ c_2\f$,
|
\f$ c_2 \cdot p_2 = g \cdot q_2\f$ for some constant \f$ c_2\f$,
|
||||||
such that \f$ q_1\f$ and \f$ q_2\f$ are coprime.
|
such that \f$ q_1\f$ and \f$ q_2\f$ are coprime.
|
||||||
|
|
||||||
\cgalRefines `AdaptableFunctor` with five arguments
|
\cgalRefines{AdaptableQuinaryFunction}
|
||||||
|
|
||||||
\sa `AlgebraicKernel_d_2::IsCoprime_2`
|
\sa `AlgebraicKernel_d_2::IsCoprime_2`
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -5,7 +5,7 @@
|
||||||
|
|
||||||
Returns a square free part of a bivariate polynomial.
|
Returns a square free part of a bivariate polynomial.
|
||||||
|
|
||||||
\cgalRefines `AdaptableUnaryFunction`
|
\cgalRefines{AdaptableUnaryFunction}
|
||||||
|
|
||||||
\sa `AlgebraicKernel_d_2::IsSquareFree_2`
|
\sa `AlgebraicKernel_d_2::IsSquareFree_2`
|
||||||
\sa `AlgebraicKernel_d_2::SquareFreeFactorize_2`
|
\sa `AlgebraicKernel_d_2::SquareFreeFactorize_2`
|
||||||
|
|
|
||||||
|
|
@ -5,7 +5,7 @@
|
||||||
|
|
||||||
Computes the number of real solutions of the given bivariate polynomial system.
|
Computes the number of real solutions of the given bivariate polynomial system.
|
||||||
|
|
||||||
\cgalRefines `AdaptableBinaryFunction`
|
\cgalRefines{AdaptableBinaryFunction}
|
||||||
|
|
||||||
\sa `AlgebraicKernel_d_2::ConstructAlgebraicReal_2`
|
\sa `AlgebraicKernel_d_2::ConstructAlgebraicReal_2`
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -7,7 +7,7 @@ Computes the sign of a bivariate polynomial
|
||||||
`AlgebraicKernel_d_2::Polynomial_2` at a value of type
|
`AlgebraicKernel_d_2::Polynomial_2` at a value of type
|
||||||
`AlgebraicKernel_d_2::Algebraic_real_2`.
|
`AlgebraicKernel_d_2::Algebraic_real_2`.
|
||||||
|
|
||||||
\cgalRefines `AdaptableBinaryFunction`
|
\cgalRefines{AdaptableBinaryFunction}
|
||||||
|
|
||||||
\sa `AlgebraicKernel_d_2::IsZeroAt_2`
|
\sa `AlgebraicKernel_d_2::IsZeroAt_2`
|
||||||
\sa `AlgebraicKernel_d_1::SignAt_1`
|
\sa `AlgebraicKernel_d_1::SignAt_1`
|
||||||
|
|
|
||||||
|
|
@ -6,8 +6,7 @@
|
||||||
Computes the real zero-dimensional solutions of a bivariate polynomial system.
|
Computes the real zero-dimensional solutions of a bivariate polynomial system.
|
||||||
The multiplicity stored in the output iterator is the multiplicity in the system.
|
The multiplicity stored in the output iterator is the multiplicity in the system.
|
||||||
|
|
||||||
\cgalRefines `Assignable`
|
\cgalRefines{Assignable,CopyConstructible}
|
||||||
\cgalRefines `CopyConstructible`
|
|
||||||
*/
|
*/
|
||||||
class AlgebraicKernel_d_2::Solve_2 {
|
class AlgebraicKernel_d_2::Solve_2 {
|
||||||
public:
|
public:
|
||||||
|
|
|
||||||
|
|
@ -14,8 +14,7 @@ and a constant factor \f$ c\f$, such that
|
||||||
The factor multiplicity pairs \f$ <q_i,m_i>\f$ are written to the
|
The factor multiplicity pairs \f$ <q_i,m_i>\f$ are written to the
|
||||||
given output iterator. The constant factor \f$ c\f$ is not computed.
|
given output iterator. The constant factor \f$ c\f$ is not computed.
|
||||||
|
|
||||||
\cgalRefines `Assignable`
|
\cgalRefines{Assignable,CopyConstructible}
|
||||||
\cgalRefines `CopyConstructible`
|
|
||||||
|
|
||||||
\sa `AlgebraicKernel_d_2::IsSquareFree_2`
|
\sa `AlgebraicKernel_d_2::IsSquareFree_2`
|
||||||
\sa `AlgebraicKernel_d_2::MakeSquareFree_2`
|
\sa `AlgebraicKernel_d_2::MakeSquareFree_2`
|
||||||
|
|
|
||||||
|
|
@ -6,9 +6,7 @@
|
||||||
A model of the `AlgebraicKernel_d_2` concept gathers necessary tools
|
A model of the `AlgebraicKernel_d_2` concept gathers necessary tools
|
||||||
for solving and handling bivariate polynomial systems of general degree \f$ d\f$.
|
for solving and handling bivariate polynomial systems of general degree \f$ d\f$.
|
||||||
|
|
||||||
\cgalRefines `AlgebraicKernel_d_1`
|
\cgalRefines{AlgebraicKernel_d_1,CopyConstructible,Assignable}
|
||||||
\cgalRefines `CopyConstructible`
|
|
||||||
\cgalRefines `Assignable`
|
|
||||||
|
|
||||||
\sa `AlgebraicKernel_d_1`
|
\sa `AlgebraicKernel_d_1`
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -5,9 +5,9 @@
|
||||||
|
|
||||||
The concept `AlphaShapeFace_2` describes the requirements for the base face of an alpha shape.
|
The concept `AlphaShapeFace_2` describes the requirements for the base face of an alpha shape.
|
||||||
|
|
||||||
\cgalRefines `TriangulationFaceBase_2`, if the underlying triangulation of the alpha shape is a Delaunay triangulation.
|
\cgalRefines{TriangulationFaceBase_2 if the underlying triangulation of the alpha shape is a Delaunay triangulation,
|
||||||
\cgalRefines `RegularTriangulationFaceBase_2`, if the underlying triangulation of the alpha shape is a regular triangulation.
|
RegularTriangulationFaceBase_2 if the underlying triangulation of the alpha shape is a regular triangulation,
|
||||||
\cgalRefines `Periodic_2TriangulationFaceBase_2`, if the underlying triangulation of the alpha shape is a periodic triangulation.
|
Periodic_2TriangulationFaceBase_2 if the underlying triangulation of the alpha shape is a periodic triangulation}
|
||||||
|
|
||||||
\cgalHasModel `CGAL::Alpha_shape_face_base_2` (templated with the appropriate triangulation face base class).
|
\cgalHasModel `CGAL::Alpha_shape_face_base_2` (templated with the appropriate triangulation face base class).
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -6,8 +6,8 @@
|
||||||
The concept `AlphaShapeTraits_2` describes the requirements for the geometric traits
|
The concept `AlphaShapeTraits_2` describes the requirements for the geometric traits
|
||||||
class of the underlying Delaunay triangulation of a basic alpha shape.
|
class of the underlying Delaunay triangulation of a basic alpha shape.
|
||||||
|
|
||||||
\cgalRefines `DelaunayTriangulationTraits_2`, if the underlying triangulation of the alpha shape is a Delaunay triangulation.
|
\cgalRefines{DelaunayTriangulationTraits_2 if the underlying triangulation of the alpha shape is a Delaunay triangulation,
|
||||||
\cgalRefines `Periodic_2DelaunayTriangulationTraits_2`, if the underlying triangulation of the alpha shape is a periodic Delaunay triangulation.
|
Periodic_2DelaunayTriangulationTraits_2 if the underlying triangulation of the alpha shape is a periodic Delaunay triangulation}
|
||||||
|
|
||||||
\cgalHasModel All models of `Kernel`.
|
\cgalHasModel All models of `Kernel`.
|
||||||
\cgalHasModel Projection traits such as `CGAL::Projection_traits_xy_3<K>`.
|
\cgalHasModel Projection traits such as `CGAL::Projection_traits_xy_3<K>`.
|
||||||
|
|
|
||||||
|
|
@ -5,9 +5,9 @@
|
||||||
|
|
||||||
The concept `AlphaShapeVertex_2` describes the requirements for the base vertex of an alpha shape.
|
The concept `AlphaShapeVertex_2` describes the requirements for the base vertex of an alpha shape.
|
||||||
|
|
||||||
\cgalRefines `TriangulationVertexBase_2`, if the underlying triangulation of the alpha shape is a Delaunay triangulation.
|
\cgalRefines{TriangulationVertexBase_2 if the underlying triangulation of the alpha shape is a Delaunay triangulation,
|
||||||
\cgalRefines `RegularTriangulationVertexBase_2`, if the underlying triangulation of the alpha shape is a regular triangulation.
|
RegularTriangulationVertexBase_2 if the underlying triangulation of the alpha shape is a regular triangulation,
|
||||||
\cgalRefines `Periodic_2TriangulationVertexBase_2`, if the underlying triangulation of the alpha shape is a periodic triangulation.
|
Periodic_2TriangulationVertexBase_2 if the underlying triangulation of the alpha shape is a periodic triangulation}
|
||||||
|
|
||||||
\cgalHasModel `CGAL::Alpha_shape_vertex_base_2` (templated with the appropriate triangulation vertex base class).
|
\cgalHasModel `CGAL::Alpha_shape_vertex_base_2` (templated with the appropriate triangulation vertex base class).
|
||||||
*/
|
*/
|
||||||
|
|
|
||||||
|
|
@ -7,7 +7,7 @@ The concept `WeightedAlphaShapeTraits_2` describes the requirements
|
||||||
for the geometric traits class
|
for the geometric traits class
|
||||||
of the underlying regular triangulation of a weighted alpha shape.
|
of the underlying regular triangulation of a weighted alpha shape.
|
||||||
|
|
||||||
\cgalRefines `RegularTriangulationTraits_2`, if the underlying triangulation of the alpha shape is a regular triangulation.
|
\cgalRefines{RegularTriangulationTraits_2 if the underlying triangulation of the alpha shape is a regular triangulation.}
|
||||||
|
|
||||||
\cgalHasModel All models of `Kernel`.
|
\cgalHasModel All models of `Kernel`.
|
||||||
\cgalHasModel Projection traits such as `CGAL::Projection_traits_xy_3<K>`.
|
\cgalHasModel Projection traits such as `CGAL::Projection_traits_xy_3<K>`.
|
||||||
|
|
|
||||||
|
|
@ -5,9 +5,9 @@
|
||||||
|
|
||||||
The concept `AlphaShapeCell_3` describes the requirements for the base cell of an alpha shape.
|
The concept `AlphaShapeCell_3` describes the requirements for the base cell of an alpha shape.
|
||||||
|
|
||||||
\cgalRefines `DelaunayTriangulationCellBase_3`, if the underlying triangulation of the alpha shape is a Delaunay triangulation.
|
\cgalRefines{DelaunayTriangulationCellBase_3 if the underlying triangulation of the alpha shape is a Delaunay triangulation,
|
||||||
\cgalRefines `RegularTriangulationCellBase_3`, if the underlying triangulation of the alpha shape is a regular triangulation.
|
RegularTriangulationCellBase_3 if the underlying triangulation of the alpha shape is a regular triangulation,
|
||||||
\cgalRefines `Periodic_3TriangulationDSCellBase_3`, if the underlying triangulation of the alpha shape is a periodic triangulation.
|
Periodic_3TriangulationDSCellBase_3 if the underlying triangulation of the alpha shape is a periodic triangulation}
|
||||||
|
|
||||||
\cgalHasModel `CGAL::Alpha_shape_cell_base_3` (templated with the appropriate triangulation cell base class).
|
\cgalHasModel `CGAL::Alpha_shape_cell_base_3` (templated with the appropriate triangulation cell base class).
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -7,8 +7,8 @@ The concept `AlphaShapeTraits_3` describes the requirements
|
||||||
for the geometric traits class
|
for the geometric traits class
|
||||||
of the underlying Delaunay triangulation of a basic alpha shape.
|
of the underlying Delaunay triangulation of a basic alpha shape.
|
||||||
|
|
||||||
\cgalRefines `DelaunayTriangulationTraits_3`, if the underlying triangulation of the alpha shape is a Delaunay triangulation.
|
\cgalRefines{DelaunayTriangulationTraits_3 if the underlying triangulation of the alpha shape is a Delaunay triangulation,
|
||||||
\cgalRefines `Periodic_3DelaunayTriangulationTraits_3`, if the underlying triangulation of the alpha shape is a periodic Delaunay triangulation.
|
Periodic_3DelaunayTriangulationTraits_3 if the underlying triangulation of the alpha shape is a periodic Delaunay triangulation}
|
||||||
|
|
||||||
\cgalHasModel All models of `Kernel`.
|
\cgalHasModel All models of `Kernel`.
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -5,9 +5,9 @@
|
||||||
|
|
||||||
The concept `AlphaShapeVertex_3` describes the requirements for the base vertex of an alpha shape.
|
The concept `AlphaShapeVertex_3` describes the requirements for the base vertex of an alpha shape.
|
||||||
|
|
||||||
\cgalRefines `TriangulationVertexBase_3`, if the underlying triangulation of the alpha shape is a Delaunay triangulation.
|
\cgalRefines{TriangulationVertexBase_3 if the underlying triangulation of the alpha shape is a Delaunay triangulation.
|
||||||
\cgalRefines `RegularTriangulationVertexBase_3`, if the underlying triangulation of the alpha shape is a regular triangulation.
|
RegularTriangulationVertexBase_3 if the underlying triangulation of the alpha shape is a regular triangulation.
|
||||||
\cgalRefines `Periodic_3TriangulationDSVertexBase_3`, if the underlying triangulation of the alpha shape is a periodic triangulation.
|
Periodic_3TriangulationDSVertexBase_3 if the underlying triangulation of the alpha shape is a periodic triangulation}
|
||||||
|
|
||||||
\cgalHasModel `CGAL::Alpha_shape_vertex_base_3` (templated with the appropriate triangulation vertex base class).
|
\cgalHasModel `CGAL::Alpha_shape_vertex_base_3` (templated with the appropriate triangulation vertex base class).
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -5,9 +5,9 @@
|
||||||
|
|
||||||
The concept `FixedAlphaShapeCell_3` describes the requirements for the base cell of a alpha shape with a fixed value alpha.
|
The concept `FixedAlphaShapeCell_3` describes the requirements for the base cell of a alpha shape with a fixed value alpha.
|
||||||
|
|
||||||
\cgalRefines `DelaunayTriangulationCellBase_3`, if the underlying triangulation of the alpha shape is a Delaunay triangulation.
|
\cgalRefines{DelaunayTriangulationCellBase_3 if the underlying triangulation of the alpha shape is a Delaunay triangulation,
|
||||||
\cgalRefines `RegularTriangulationCellBase_3`, if the underlying triangulation of the alpha shape is a regular triangulation.
|
RegularTriangulationCellBase_3 if the underlying triangulation of the alpha shape is a regular triangulation,
|
||||||
\cgalRefines `Periodic_3TriangulationDSCellBase_3`, if the underlying triangulation of the alpha shape is a periodic triangulation.
|
Periodic_3TriangulationDSCellBase_3 if the underlying triangulation of the alpha shape is a periodic triangulation}
|
||||||
|
|
||||||
\cgalHasModel `CGAL::Fixed_alpha_shape_cell_base_3` (templated with the appropriate triangulation cell base class).
|
\cgalHasModel `CGAL::Fixed_alpha_shape_cell_base_3` (templated with the appropriate triangulation cell base class).
|
||||||
*/
|
*/
|
||||||
|
|
|
||||||
|
|
@ -7,8 +7,8 @@ The concept `FixedAlphaShapeTraits_3` describes the requirements
|
||||||
for the geometric traits class
|
for the geometric traits class
|
||||||
of the underlying Delaunay triangulation of a basic alpha shape with a fixed value alpha.
|
of the underlying Delaunay triangulation of a basic alpha shape with a fixed value alpha.
|
||||||
|
|
||||||
\cgalRefines `DelaunayTriangulationTraits_3`, if the underlying triangulation of the alpha shape is a Delaunay triangulation.
|
\cgalRefines{DelaunayTriangulationTraits_3 if the underlying triangulation of the alpha shape is a Delaunay triangulation,
|
||||||
\cgalRefines `Periodic_3DelaunayTriangulationTraits_3`, if the underlying triangulation of the alpha shape is a periodic Delaunay triangulation.
|
Periodic_3DelaunayTriangulationTraits_3 if the underlying triangulation of the alpha shape is a periodic Delaunay triangulation}
|
||||||
|
|
||||||
\cgalHasModel All models of `Kernel`.
|
\cgalHasModel All models of `Kernel`.
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -5,9 +5,9 @@
|
||||||
|
|
||||||
The concept `FixedAlphaShapeVertex_3` describes the requirements for the base vertex of a alpha shape with a fixed value alpha.
|
The concept `FixedAlphaShapeVertex_3` describes the requirements for the base vertex of a alpha shape with a fixed value alpha.
|
||||||
|
|
||||||
\cgalRefines `TriangulationVertexBase_3`, if the underlying triangulation of the alpha shape is a Delaunay triangulation.
|
\cgalRefines{TriangulationVertexBase_3 if the underlying triangulation of the alpha shape is a Delaunay triangulation,
|
||||||
\cgalRefines `RegularTriangulationVertexBase_3`, if the underlying triangulation of the alpha shape is a regular triangulation.
|
RegularTriangulationVertexBase_3 if the underlying triangulation of the alpha shape is a regular triangulation,
|
||||||
\cgalRefines `Periodic_3TriangulationDSVertexBase_3`, if the underlying triangulation of the alpha shape is a periodic triangulation.
|
Periodic_3TriangulationDSVertexBase_3 if the underlying triangulation of the alpha shape is a periodic triangulation}
|
||||||
|
|
||||||
\cgalHasModel `CGAL::Fixed_alpha_shape_vertex_base_3` (templated with the appropriate triangulation vertex base class).
|
\cgalHasModel `CGAL::Fixed_alpha_shape_vertex_base_3` (templated with the appropriate triangulation vertex base class).
|
||||||
*/
|
*/
|
||||||
|
|
|
||||||
|
|
@ -6,8 +6,8 @@
|
||||||
The concept `FixedWeightedAlphaShapeTraits_3` describes the requirements
|
The concept `FixedWeightedAlphaShapeTraits_3` describes the requirements
|
||||||
for the geometric traits class of the underlying regular triangulation of a weighted alpha shape with fixed alpha value.
|
for the geometric traits class of the underlying regular triangulation of a weighted alpha shape with fixed alpha value.
|
||||||
|
|
||||||
\cgalRefines `RegularTriangulationTraits_3`, if the underlying triangulation of the alpha shape is a regular triangulation.
|
\cgalRefines{RegularTriangulationTraits_3 if the underlying triangulation of the alpha shape is a regular triangulation,
|
||||||
\cgalRefines `Periodic_3RegularTriangulationTraits_3`, if the underlying triangulation of the alpha shape is a periodic regular triangulation.
|
Periodic_3RegularTriangulationTraits_3 if the underlying triangulation of the alpha shape is a periodic regular triangulation}
|
||||||
|
|
||||||
\cgalHasModel All models of `Kernel`.
|
\cgalHasModel All models of `Kernel`.
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -7,8 +7,8 @@ The concept `WeightedAlphaShapeTraits_3` describes the requirements
|
||||||
for the geometric traits class
|
for the geometric traits class
|
||||||
of the underlying regular triangulation of a weighted alpha shape.
|
of the underlying regular triangulation of a weighted alpha shape.
|
||||||
|
|
||||||
\cgalRefines `RegularTriangulationTraits_3`, if the underlying triangulation of the alpha shape is a regular triangulation.
|
\cgalRefines{RegularTriangulationTraits_3 if the underlying triangulation of the alpha shape is a regular triangulation,
|
||||||
\cgalRefines `Periodic_3RegularTriangulationTraits_3`, if the underlying triangulation of the alpha shape is a periodic regular triangulation.
|
Periodic_3RegularTriangulationTraits_3 if the underlying triangulation of the alpha shape is a periodic regular triangulation}
|
||||||
|
|
||||||
\cgalHasModel All models of `Kernel`.
|
\cgalHasModel All models of `Kernel`.
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -16,7 +16,7 @@ It defaults to:
|
||||||
\code
|
\code
|
||||||
CGAL::Triangulation_data_structure_2<
|
CGAL::Triangulation_data_structure_2<
|
||||||
CGAL::Apollonius_graph_vertex_base_2<Gt,true>,
|
CGAL::Apollonius_graph_vertex_base_2<Gt,true>,
|
||||||
CGAL::Triangulation_face_base_2<Gt> >`
|
CGAL::Triangulation_face_base_2<Gt> >
|
||||||
\endcode
|
\endcode
|
||||||
|
|
||||||
\cgalHeading{Traversal of the Apollonius Graph}
|
\cgalHeading{Traversal of the Apollonius Graph}
|
||||||
|
|
|
||||||
|
|
@ -25,7 +25,7 @@ merged. </b></center>
|
||||||
We only describe the additional requirements with respect to the
|
We only describe the additional requirements with respect to the
|
||||||
`TriangulationDataStructure_2` concept.
|
`TriangulationDataStructure_2` concept.
|
||||||
|
|
||||||
\cgalRefines `TriangulationDataStructure_2`
|
\cgalRefines{TriangulationDataStructure_2}
|
||||||
|
|
||||||
\cgalHasModel `CGAL::Triangulation_data_structure_2<Vb,Fb>`
|
\cgalHasModel `CGAL::Triangulation_data_structure_2<Vb,Fb>`
|
||||||
|
|
||||||
|
|
|
||||||
Some files were not shown because too many files have changed in this diff Show More
Loading…
Reference in New Issue