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				 all problems so far. The function returns true if the mesh is
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				 all problems so far. The function returns true if the mesh is
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				 valid and false otherwise.	*/
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				 valid and false otherwise.	*/
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			void enumerate_vertices();
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			void enumerate_vertices();
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			/**< Give each vertex a unique id corresponding to its iterator
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			/**< Give each vertex a unique id corresponding to its iterator
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				 position */
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				 position. Value is stored in the touched attribute. */
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			void enumerate_halfedges();
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			void enumerate_halfedges();
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			/**< Give each halfedge a unique id corresponding to its iterator
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			/**< Give each halfedge a unique id corresponding to its iterator
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				 position */
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				 position. Value is stored in the touched attribute. */
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			void enumerate_faces();
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			void enumerate_faces();
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			/**< Give each face a unique id corresponding to its iterator
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			/**< Give each face a unique id corresponding to its iterator
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				 position */
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				 position. Value is stored in the touched attribute. */
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			size_t no_faces() const {return face_db.size();}
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			size_t no_faces() const {return face_db.size();}
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			///< Return the number of faces.
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			///< Return the number of faces.
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			size_t no_halfedges() const {return halfedge_db.size();}
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			size_t no_halfedges() const {return halfedge_db.size();}
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			///< Return the number of halfedges.
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			///< Return the number of halfedges.