mirror of https://github.com/CGAL/cgal
backtick and lowercase as a cleanup
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@ -107,28 +107,28 @@ void set_alpha_max(NT alpha);
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/// @{
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/*!
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Returns true for Gabriel faces.
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returns `true` for Gabriel faces.
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*/
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bool is_Gabriel() const ;
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/*!
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Returns true for convex hull faces.
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returns `true` for convex hull faces.
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*/
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bool is_on_chull() const;
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/*!
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Returns the `alpha_min`.
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\pre `is_Gabriel()` returns false;
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returns the `alpha_min`.
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\pre `is_Gabriel()` returns `false`.
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*/
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NT alpha_min() const;
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/*!
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Returns the `alpha_mid`.
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returns `alpha_mid`.
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*/
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NT alpha_mid() const;
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/*!
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Returns `alpha_max`.
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returns `alpha_max`.
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\pre `is_on_chull()` returns `false`.
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*/
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NT alpha_max() const;
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@ -55,11 +55,11 @@ Enum to classify the simplices of the underlying
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triangulation with respect to a given alpha value.
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Each k-dimensional simplex of the triangulation
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can be classified as EXTERIOR, SINGULAR, REGULAR
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or INTERIOR.
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A \f$ k\f$ simplex is REGULAR if it is on the boundary
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can be classified as `EXTERIOR`, `SINGULAR`, `REGULAR`
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or `INTERIOR`.
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A \f$ k\f$ simplex is `REGULAR` if it is on the boundary
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of the alpha complex and belongs to a \f$ k+1\f$ simplex in this complex
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and it is SINGULAR if it is a boundary simplex that is not included in a \f$ k+1\f$ simplex of the complex.
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and it is `SINGULAR` if it is a boundary simplex that is not included in a \f$ k+1\f$ simplex of the complex.
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*/
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enum Classification_type {EXTERIOR, SINGULAR, REGULAR, INTERIOR};
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@ -70,19 +70,19 @@ enum Classification_type {EXTERIOR, SINGULAR, REGULAR, INTERIOR};
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/// @{
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/*!
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Introduces an empty fixed alpha shape and sets the alpha value to `alpha`.
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builds an empty fixed alpha shape and sets the alpha value to `alpha`.
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*/
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Fixed_alpha_shape_3(FT alpha = 0);
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/*!
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Builds a fixed alpha shape from the triangulation `dt`,
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builds a fixed alpha shape from the triangulation `dt`,
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and sets the alpha value to `alpha`.
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\attention This operation swaps `*this` and `dt`, that is `dt` is an empty triangulation once the fixed alpha shape is built.
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*/
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Fixed_alpha_shape_3(Dt& dt,FT alpha = 0);
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/*!
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Builds a fixed alpha shape for the points in the range
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builds a fixed alpha shape for the points in the range
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`[first,last)` and sets the alpha value to `alpha`.
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\tparam InputIterator must be an input iterator with value type `Point` (the type point of the underlying triangulation.)
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*/
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@ -99,7 +99,7 @@ const FT& alpha = 0);
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/*!
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Inserts the point p in the underlying triangulation and returns the corresponding vertex.
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inserts the point `p` in the underlying triangulation and returns the corresponding vertex.
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The optional argument `start` is used as a starting place for the search.
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The classification types of the new simplices are computed and that of the simplices incident
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to the new ones are updated.
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@ -109,14 +109,14 @@ Vertex_handle insert (Point p,Cell_handle start = Cell_handle());
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/*!
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Removes the vertex v from the underlying triangulation.
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removes the vertex `v` from the underlying triangulation.
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The classification types of new simplices and their incident faces are set or reset.
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*/
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void remove (Vertex_handle v);
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/*!
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Clears the structure.
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clears the structure.
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*/
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void
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clear();
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@ -127,40 +127,40 @@ clear();
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/// @{
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/*!
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Returns the \f$ \alpha\f$-value.
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returns the \f$ \alpha\f$-value.
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*/
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const FT&
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get_alpha(void) const;
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/*!
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Classifies the cell `c` of the underlying triangulation in the alpha complex.
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classifies the cell `c` of the underlying triangulation in the alpha complex.
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*/
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Classification_type
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classify(Cell_handle c) const;
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/*!
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Classifies the facet `f` of the underlying triangulation in the alpha complex.
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classifies the facet `f` of the underlying triangulation in the alpha complex.
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*/
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Classification_type classify(Facet f) const;
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/*!
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Classifies the facet of the cell `f` opposite to the vertex with index
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classifies the facet of the cell `f` opposite to the vertex with index
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`i` of the underlying triangulation in the alpha complex.
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*/
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Classification_type classify(Cell_handle f, int i) const;
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/*!
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Classifies the edge `e` of the underlying triangulation in the alpha complex.
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classifies the edge `e` of the underlying triangulation in the alpha complex.
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*/
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Classification_type classify(const Edge& e) const;
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/*!
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Classifies the vertex `v` of the underlying triangulation in the alpha complex.
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classifies the vertex `v` of the underlying triangulation in the alpha complex.
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*/
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Classification_type classify(Vertex_handle v) const;
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/*!
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Writes the cells which are of type `type` in the alpha complex
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writes the cells which are of type `type` in the alpha complex
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to the sequence
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pointed to by the output iterator `it`. Returns past the end
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of the output sequence.
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@ -169,7 +169,7 @@ template<class OutputIterator>
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OutputIterator get_alpha_shape_cells(OutputIterator it, Classification_type type);
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/*!
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Writes the facets which are of type `type` in the alpha complex
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writes the facets which are of type `type` in the alpha complex
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to the sequence pointed to by the output iterator `it`. Returns past the end
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of the output sequence.
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*/
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@ -177,7 +177,7 @@ template<class OutputIterator>
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OutputIterator get_alpha_shape_facets(OutputIterator it, Classification_type type);
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/*!
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Writes the edges which are of type `type` in the alpha complex
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writes the edges which are of type `type` in the alpha complex
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to the sequence
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pointed to by the output iterator `it`. Returns past the end
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of the output sequence.
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@ -186,7 +186,7 @@ template<class OutputIterator>
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OutputIterator get_alpha_shape_edges(OutputIterator it, Classification_type type);
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/*!
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Writes the vertices which are of type `type` in the alpha complex
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writes the vertices which are of type `type` in the alpha complex
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to the sequence pointed to by the output iterator `it`. Returns past the end
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of the output sequence.
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*/
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@ -198,7 +198,7 @@ OutputIterator get_alpha_shape_vertices(OutputIterator it, Classification_type t
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}; /* end Fixed_alpha_shape_3 */
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/*!
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Inserts the fixed alpha shape `A` into the stream `os`.
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inserts the fixed alpha shape `A` into the stream `os`.
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An overlaoad of `operator<<` must be available for `GT::Point`.
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