@@ -154,7 +154,7 @@ class PolyhedronShortestPathTraits
154154 Function object type.
155155 Must support the result_of protocol, that is the return type of the operator()(A, B) is CGAL::cpp11::result<Intersect_2(A,B)>.
156156 Must provide
157- `CGAL::cpp11::result <Intersect_2(A,B)> operator()(A obj1, B obj2)`
157+ `CGAL::cpp11::result_of <Intersect_2(A,B)> operator()(A obj1, B obj2)`
158158 to compute the intersection between obj1 and obj2, where A and B can be any one of
159159 Line_2,
160160 Ray_2,
@@ -219,21 +219,21 @@ class PolyhedronShortestPathTraits
219219 /* !
220220 Function object type that provides
221221 `FT operator()(Point_3 p1, Point_3 p2)`
222- to compute the squared distance between p1 and p2 .
222+ to compute the squared distance between `p1` and `p2` .
223223 */
224224 typedef unspecified_type Compute_squared_distance_3;
225225
226226 /* !
227227 Function object type that provides
228228 `Triangle_2 operator()(Triangle_3 t)`
229- which computes a 2-dimensional projection of t
229+ which computes a 2-dimensional projection of `t`
230230 that preserves all edge lengths.
231231 */
232232 typedef unspecified_type Project_triangle_3_to_triangle_2;
233233
234234 /* !
235235 Function object type that provides
236- `Triangle_2 operator()(Triangle_3 t, size_t i, Segment_2 base)`
236+ `Triangle_2 operator()(Triangle_3 t, std:: size_t i, Segment_2 base)`
237237 which computes a 2-dimensional projection of t
238238 that preserves all edge lengths, such that the `i`th edge of t
239239 lies along `base`.
@@ -245,8 +245,8 @@ class PolyhedronShortestPathTraits
245245 /* !
246246 Function object type that provides
247247 `FT operator()(Point_2 x0, Point_2 x1, Point_2 p)`
248- which computes the parametric distance of p along the
249- segment [x0,x1]. That is, it computes `t`, such that
248+ which computes the parametric distance of `p` along the
249+ segment ` [x0,x1]` . That is, it computes `t`, such that
250250 `p = (1.0 - t)*x0 + t*x1`
251251
252252 \pre p is a point along the segment [x0,x1]
@@ -262,22 +262,22 @@ class PolyhedronShortestPathTraits
262262
263263 /* !
264264 Function object type that provides
265- `FT operator(Barycentric_coordinate b, size_t i)`
266- to get the ith weight of barycentric coordinate `b`.
265+ `FT operator(Barycentric_coordinate b, std:: size_t i)`
266+ to get the `i`th weight of barycentric coordinate `b`.
267267 */
268268 typedef unspecified_type Construct_barycentric_coordinate_weight;
269269
270270 /* !
271271 Function object type that provides
272272 `Barycentric_coordinate operator()(Triangle_2 t, Point_2 p)`
273- which computes the Barycentric location of p in t .
273+ which computes the Barycentric location of `p` in `t` .
274274 */
275275 typedef unspecified_type Construct_barycentric_coordinate_in_triangle_2;
276276
277277 /* !
278278 Function object type that provides
279279 `Barycentric_coordinate operator()(Triangle_3 t, Point_3 p)`
280- which computes the Barycentric location of p in t .
280+ which computes the Barycentric location of `p` in `t` .
281281 */
282282 typedef unspecified_type Construct_barycentric_coordinate_in_triangle_3;
283283
@@ -288,16 +288,16 @@ class PolyhedronShortestPathTraits
288288
289289 /* !
290290 Function object type that provides
291- `std::pair<CGAL::internal ::Barycentric_coordinate_type,size_t> operator()(Barycentric_coordinate b)`,
292- which computes the classification and nearest edge of the coordinate `b`
291+ `std::pair<CGAL::Polyhedron_shortest_paths_3 ::Barycentric_coordinate_type,std:: size_t> operator()(Barycentric_coordinate b)`,
292+ which computes the classification and the associated edge (if applicable) of the coordinate `b`
293293 \details Returns the pair (`type`, `i`), such that `type` is:
294- - `CGAL::internal ::BARYCENTRIC_COORDINATE_VERTEX` if `b` has exactly one non-zero component equal to 1, and the rest are zero
295- - `CGAL::internal ::BARYCENTRIC_COORDINATE_EDGE` if `b` has exactly one zero component, and the rest sum to 1
296- - `CGAL::internal ::BARYCENTRIC_COORDINATE_INTERNAL` if `b` has no non-zero component, and they all sum to 1
297- - `CGAL::internal ::BARYCENTRIC_COORDINATE_EXTERNAL` if the components of `b` do not sum to 1
298- - `CGAL::internal ::BARYCENTRIC_COORDINATE_INVALID` otherwise
299- If `type` is `CGAL::internal ::BARYCENTRIC_COORDINATE_VERTEX`, `i` should be the index of that vertex
300- If `type` is `CGAL::internal ::BARYCENTRIC_COORDINATE_EDGE`, `i` should be the index of the non-zero edge
294+ - `CGAL::Polyhedron_shortest_paths_3 ::BARYCENTRIC_COORDINATE_VERTEX` if `b` has exactly one non-zero component equal to 1, and the rest are zero
295+ - `CGAL::Polyhedron_shortest_paths_3 ::BARYCENTRIC_COORDINATE_EDGE` if `b` has exactly one zero component, and the rest sum to 1
296+ - `CGAL::Polyhedron_shortest_paths_3 ::BARYCENTRIC_COORDINATE_INTERNAL` if `b` has no non-zero component, and they all sum to 1
297+ - `CGAL::Polyhedron_shortest_paths_3 ::BARYCENTRIC_COORDINATE_EXTERNAL` if the components of `b` do not sum to 1
298+ - `CGAL::Polyhedron_shortest_paths_3 ::BARYCENTRIC_COORDINATE_INVALID` otherwise
299+ If `type` is `CGAL::Polyhedron_shortest_paths_3 ::BARYCENTRIC_COORDINATE_VERTEX`, `i` should be the index of that vertex
300+ If `type` is `CGAL::Polyhedron_shortest_paths_3 ::BARYCENTRIC_COORDINATE_EDGE`, `i` should be the index of the non-zero edge
301301 - 0 if (0,1) are the non-zero coordinates
302302 - 1 if (1,2) are the non-zero coordinates
303303 - 2 if (2,0) are the non-zero coordinates
@@ -327,17 +327,17 @@ class PolyhedronShortestPathTraits
327327 start point of s1, scaled by the length of s1, to the distance of the intersection
328328 of s2 with l2 from the start point of s2, scaled by the length of s2.
329329
330- \pre the intersection of s1 and l1 is a single point
331- \pre the intersection of s2 and l2 is a single point
330+ \pre the intersection of `s1` and `l1` is a single point
331+ \pre the intersection of `s2` and `l2` is a single point
332332 */
333333 typedef unspecified_type Compare_relative_intersection_along_segment_2;
334334
335335 /* !
336336 Function object type that provides
337337 `template <class VertexPointMap> bool operator()(boost::graph_traits<FaceGraph>::vertex_descriptor v, FaceGraph& p, VertexPointMap vpm)`
338338 that returns true if the vertex is a saddle vertex (more than 2pi surface area
339- over all adjacent faces), and false otherwise. vmp must be a a model of concept ReadablePropertyMap that maps from vertex_descriptor to
340- Point_3 objects.
339+ over all adjacent faces), and false otherwise. `vpm` must be a a model of concept ` ReadablePropertyMap` that maps from ` vertex_descriptor` to
340+ ` Point_3` objects.
341341 */
342342 typedef unspecified_type Is_saddle_vertex;
343343
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