From d89ab5ef7c9d50b2d1eb35f6a1cb0c4e89ffb28b Mon Sep 17 00:00:00 2001 From: Andreas Fabri Date: Mon, 27 Jul 2020 08:44:48 +0100 Subject: [PATCH] polish --- .../CGAL/Convex_hull_3/dual/halfspace_intersection_3.h | 4 ++-- .../dual/halfspace_intersection_with_constructions_3.h | 2 +- 2 files changed, 3 insertions(+), 3 deletions(-) diff --git a/Convex_hull_3/doc/Convex_hull_3/CGAL/Convex_hull_3/dual/halfspace_intersection_3.h b/Convex_hull_3/doc/Convex_hull_3/CGAL/Convex_hull_3/dual/halfspace_intersection_3.h index 18a91a0a502..92f1b7711ce 100644 --- a/Convex_hull_3/doc/Convex_hull_3/CGAL/Convex_hull_3/dual/halfspace_intersection_3.h +++ b/Convex_hull_3/doc/Convex_hull_3/CGAL/Convex_hull_3/dual/halfspace_intersection_3.h @@ -8,8 +8,8 @@ If `origin` is given then it must be a point strictly inside the polyhedron. If This version does not construct the dual points explicitely but uses a special traits class for the function `CGAL::convex_hull_3()` to handle predicates on dual points without constructing them. -\attention Halfspaces are considered as lower halfspaces that is to say if the plane's equation is \f$ a\, x +b\, y +c\, z + d = 0 \f$ then the corresponding halfspace is defined by \f$ a\, x +b\, y +c\, z + d \le 0 \f$ . -\attention +Halfspaces are considered as lower halfspaces, that is if the plane equation is \f$ a\, x +b\, y +c\, z + d = 0 \f$ then the corresponding halfspace is defined by \f$ a\, x +b\, y +c\, z + d \le 0 \f$ . + \pre The point type of `origin` and the point type of the vertices of `PolygonMesh` must come from the same \cgal %Kernel.\pre if provided, `origin` is inside the intersection of halfspaces defined by the range `[begin, end)`. \pre The computed intersection must be a bounded convex polyhedron. diff --git a/Convex_hull_3/doc/Convex_hull_3/CGAL/Convex_hull_3/dual/halfspace_intersection_with_constructions_3.h b/Convex_hull_3/doc/Convex_hull_3/CGAL/Convex_hull_3/dual/halfspace_intersection_with_constructions_3.h index 4d2913acf34..a234d1905ca 100644 --- a/Convex_hull_3/doc/Convex_hull_3/CGAL/Convex_hull_3/dual/halfspace_intersection_with_constructions_3.h +++ b/Convex_hull_3/doc/Convex_hull_3/CGAL/Convex_hull_3/dual/halfspace_intersection_with_constructions_3.h @@ -7,7 +7,7 @@ namespace CGAL { If `origin` is given then it must be a point strictly inside the polyhedron. If an interior point is not given then it is computed using the function `halfspace_intersection_interior_point_3()` based on solving a linear program and thus is slower. This version constructs explicitly the dual points using the convex hull algorithm parametrized with the given traits class. -\attention Halfspaces are considered as lower halfspaces that is to say if the plane's equation is \f$ a\, x +b\, y +c\, z + d = 0 \f$ then the corresponding halfspace is defined by \f$ a\, x +b\, y +c\, z + d \le 0 \f$ . +Halfspaces are considered as lower halfspaces, that is if the plane equation is \f$ a\, x +b\, y +c\, z + d = 0 \f$ then the corresponding halfspace is defined by \f$ a\, x +b\, y +c\, z + d \le 0 \f$ . \pre The value type of `PlaneIterator` and the point type of `origin` must come from the same \cgal Kernel. \pre if provided, `origin` is inside the intersection of halfspaces defined by the range `[begin, end)`.