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The arrangement package includes a generic traits-class decorator template named Arr_curve_data_traits_2 <BaseTraits, XMonotoneCurveData, Merge, CurveData, Convert> . This decorator is used to attach a data field to curves and to x -monotone curves. It is parameterized by a base-traits class, which is one of the geometric traits classes described in the previous subsections, or a user-defined traits class. The curve-data decorator derives itself from the base-traits class, and in particular inherits its Point_2 type. In addition:

Note that the Curve_2 and X_monotone_curve_2 are not the same, even if the BaseTraits::Curve_2 and BaseTraits::X_monotone_curve_2 are (as in the case of the segment-traits class for example). The extended curve types support the additional methods data() and set_data() for accessing and modifying the data field.

You can create an extended curve (or an extended x -monotone curve) from a basic curve and a curve-data object. When curves are inserted into an arrangement, they may be split, and the decorator handles their data fields automatically:

When a curve is subdivided into x -monotone subcurves, its data field of type CurveData is converted to an XMonotoneCurveData object d using the Convert functor. The object d is automatically associated with each of the resulting x -monotone subcurves.

Note that by default, the CurveData type is identical to the XMonotoneCurveData type (and the conversion functor Convert is trivially defined). Thus, the data field associated with the original curve is just duplicated and stored with the x -monotone subcurves.

The Arr_consolidated_curve_data_traits_2 <BaseTraits, Data> decorator specializes the generic curve-data decorator. It extends the basic BaseTraits::Curve_2 by a single Data field, and the basic BaseTraits::X_monotone_curve_2 with a set of (distinct) data objects. The Data type is required to support the equality operator, used to ensure that each set contains only distinct data objects with no duplicates. When a curve with a data field d is subdivided into x -monotone subcurves, each subcurve is associated with a set S = \{ d \} . In case of an overlap between two x -monotone curves c_1 and c_2 with associated data sets S_1 and S_2 , respectively, the overlapping subcurve is associated with the consolidated set S_1 \cup S_2 .


When you use this procedure to configure the secondary region, replace with . You will have a total of four zone users after you create the master region and the secondary region and their zones. These users are different from the users created in Create a Keyring .

You must update the zone configuration with zone users so that the synchronization agents can authenticate with the zones.

Open your us-east.json zone configuration file and paste the contents of the access_key and secret_key fields from the step of creating zone users into the system_key field of your zone configuration infile.

Save the us-east.json file. Then, update your zone configuration.

Repeat step 1 to update the zone infile for us-west . Then, update your zone configuration.


When you use this procedure to configure the secondary region, replace with . You will have a total of four zones after you create the master zone and the secondary zone in each region.

Once you have redeployed your Ceph configuration files, we recommend restarting your Ceph Storage Cluster(s) and Apache instances.

For Ubuntu, use the following on each Ceph Node :

For Red Hat/CentOS, use the following:

To ensure that all components have reloaded their configurations, for each gateway instance we recommend restarting the apache2 service. For example:

Start up the radosgw service.

If you are running multiple instances on the same host, you must specify the user name.

Open a browser and check the endpoints for each zone. A simple HTTP request to the domain name should return the following:

This section provides an exemplary procedure for setting up a cluster with multiple regions. Configuring a cluster that spans regions requires maintaining a global namespace, so that there are no namespace clashes among object names stored across in different regions.

This section extends the procedure in Sweater Knit Shirt Hed Mayner Store Cheap Online nknLfO3PK
, but changes the region name and modifies a few procedures. See the following sections for details.

Naming for the Secondary Region

Before configuring the cluster, defining region, zone and instance names will help you manage your cluster. Let’s assume the region represents the European Union, and we refer to it by its standard abbreviation.

Let’s assume the zones represent the Eastern and Western European Union. For continuity, our naming convention will use format, but you can use any naming convention you prefer.

Finally, let’s assume that zones may have more than one Ceph Object Gateway instance per zone. For continuity, our naming convention will use format, but you can use any naming convention you prefer.

Repeat the exemplary procedure of Configure a Master Region with the following differences:

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Given a set \cal C of planar curves, the arrangement \cal A(\cal C) is the subdivision of the plane into zero-dimensional, one-dimensional and two-dimensional cells, called vertices , edges and faces , respectively induced by the curves in \cal C . Arrangements are ubiquitous in the computational-geometry literature and have many applications; see, e.g., Drop Shipping Ebay OVERALLS Jumpsuits su YOOXCOM Self Portrait Free Shipping Wiki en7lgz
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The curves in \cal C can intersect each other (a single curve may also be self-intersecting or may be comprised of several disconnected branches) and are not necessarily x -monotone. Karolina Highrise Skinny Jeans Mid denim GRLFRND Sale Sast Discount Pictures Professional Sale Online Lowest Price Sale Online QIAimu
We construct a collection \cal C'' of x -monotone subcurves that are pairwise disjoint in their interiors in two steps as follows. First, we decompose each curve in \cal C into maximal x -monotone subcurves (and possibly isolated points), obtaining the collection \cal C' . Note that an x -monotone curve cannot be self-intersecting. Then, we decompose each curve in \cal C' into maximal connected subcurves not intersecting any other curve (or point) in \cal C' . The collection \cal C'' may also contain isolated points, if the curves of \cal C contain such points. The arrangement induced by the collection \cal C'' can be conveniently embedded as a planar graph, whose vertices are associated with curve endpoints or with isolated points, and whose edges are associated with subcurves. It is easy to see that \cal A(\cal C) = \cal A(\cal C'') . This graph can be represented using a doubly-connected edge list data-structure ( Dcel for short), which consists of containers of vertices, edges and faces and maintains the incidence relations among these objects.

The main idea behind the Dcel data-structure is to represent each edge using a pair of directed halfedges , one going from the xy -lexicographically smaller (left) endpoint of the curve toward its the xy -lexicographically larger (right) endpoint, and the other, known as its twin halfedge, going in the opposite direction. As each halfedge is directed, we say it has a source vertex and a target vertex. Halfedges are used to separate faces, and to connect vertices (with the exception of isolated vertices , which are unconnected).


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