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This is the first time that I ve mentioned NHibernate in the text, but not the last For those who have been living in a box, NHibernate is a port of the popular Java ORM Hibernate As a port from Java, NHibernate comes into the NET space with one strong advantage: conceptual maturity Because Hibernate is one of the most popular ORM tools in Java, NHibernate brings with it many lessons learned However, as a port from Java, it also has some disadvantages, such as being a port from Java Unlike NET ORM tools written from the ground up, NHibernate is bound to some of the language constructs and design structures from the Java world I digress; the NHibernate topic is explored more in 12, but I wanted to set the stage for the topic of this section: PI and NHibernate.

Test point 2 (260, 160)

Test point 1 (30, 30)

If you recall your basic 3D mathematics, you know that the position, orientation, and scale of any object in 3D space can be expressed as a 4 4 transformation matrix in a particular relative space This relative space is defined as in terms of a given set of coordinate axes The most common transform spaces (and those used in Ogre) are world, parent, and local Transforms in world space are relative to the origin of the global coordinate system: (0,0,0) in 3D space In Ogre, this typically is the same as the location of the root scene node, so world space in Ogre can also be understood as relative to the root scene node World space also means coordinates are expressed in the global X, Y, and Z axes.

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I m not going to go through the same exercise that I did with LINQ to SQL and EF, to analyze NHibernate s PI success, because Nilsson s book does that already However, I do want to point out some of the main points because NHibernate is the de facto standard in the ORM world For the most part, NHibernate is PI compliant However, there are a couple of items that keep it from being truly PI NHibernate requires a default constructor, like most other ORM solutions In addition, you can t give identity fields a default The infrastructure of NHibernate uses your identity fields to determine whether the transaction should be an insert or an update Finally, you can t use read-only fields in your model because NHibernate can t reflect on those fields.

Test point 2 (60, 60)

Figure 4 3. Finding the touch coordinates relative to the rectangle s origin These modified coordinates are considered as being in object space rather than in the normal screen space as they are now measured against the object (the rectangle) rather than the screen. We can now rotate these points around the origin, and as long as we remember that we are measuring their position in object space rather than screen space, we will find the new positions that we saw in Figure 4 2(b).

Transforms in parent space are relative to the parent of a scene node, and transforms in local space are relative to the node to which the object is attached This means that translations, rotations, and scaling are calculated along the coordinate axes defined by the parent node s orientation Most of the time, you will be doing translations in parent space and rotations and scaling in local space: these are the default transform spaces in Ogre for these operations However, you are probably using Ogre so that you do not have to deal with the actual transforms: you simply want to move your objects around in much cleaner ways Lucky for you, as part of the basic scene node translation, rotation, and scaling methods, Ogre manages these ugly transforms for you in the spatial relationships between the nodes in the scene graph.

Overall, from a pure PI perspective, NHibernate is far more advanced than EF or LINQ to SQL This has a lot to do with its maturity from its Java roots However, now that Microsoft has thrown its hat in the ORM ring, it is likely that NHibernate s following will level off and people will begin to embrace LINQ to SQL and EF more..

NOTE If at any time we want to map the coordinates back into screen space, all we need to do is re-add the rectangle s origin that we have subtracted. If we move a point to object space (by subtracting the object s origin coordinate), rotate it, and then move it back to screen space (by re-adding the object s origin coordinate), we will have rotated around the object s origin even though it is not at the screen s origin coordinate.

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