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As this table shows, the test point 1 coordinate is inside the ellipse (its calculated distance is less than 0.5), and the test point 2 coordinate is not. The complete function to perform this calculation is shown in Listing 4 9. This code is taken from the SpriteObject class, so it has direct access to the sprite s properties. Listing 4 9. Checking a test point to see if it is within a rotated and scaled sprite ellipse protected bool IsPointInObject_EllipseTest(Microsoft.Xna.Framework.Vector2 point) { Rectangle bbox; Vector2 rotatedPoint = Vector2.Zero; // Retrieve the basic sprite bounding box bbox = BoundingBox; // Subtract the ellipse's top-left position from the test point so that the test // point is relative to the origin position rather than relative to the screen point -= Position; // Rotate the point by the negative angle of the sprite to cancel out the sprite // rotation rotatedPoint.X = (float)(Math.Cos(-Angle) * point.X - Math.Sin(-Angle) * point.Y); rotatedPoint.Y = (float)(Math.Sin(-Angle) * point.X + Math.Cos(-Angle) * point.Y); // Add back the origin point multiplied by the scale. // This will put us in the top-left corner of the bounding box. rotatedPoint += Origin * Scale; // Subtract the bounding box midpoint from each axis. // This will put us in the center of the ellipse. rotatedPoint -= new Vector2(bbox.Width / 2, bbox.Height / 2); // Divide the point by the width and height of the bounding box. // This will result in values between -0.5 and +0.5 on each axis for

Figure 5-3. No matter where the scene node is moved, the position of the cube relative to its scene node is unaltered. In (a) the scene node (black dot in the center of the cube) is at (0,0,0) in world space. In (b) it has been moved to (10,10,10) and the world-space position of the cube s vertices are shown. This last statement causes a lot of confusion for those beginning with 3D graphics (especially integrating content created in a modeling tool such as Softimage|XSI, Maya, 3DS Max, or Blender into a 3D scene). The natural inclination is to assume that the coordinates in the tool and the coordinates in Ogre somehow are different. They are not: so long as the tool and exporter do not make any assumptions about units of measurement and export vertex coordinates in world units (unitless, in other words), then all is well with the world. A vertex at (1,1,1) in the

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// positions within the bounding box. As both axes are then on the same // scale we can check the distance from the center point as a circle, // without having to worry about elliptical shapes. rotatedPoint /= new Vector2(bbox.Width, bbox.Height); // See if the distance from the origin to the point is <= 0.5 // (the radius of a unit-size circle). If so, we are within the ellipse. return (rotatedPoint.Length() <= 0.5f); }

The next file in the list is AdventureWorks.designer.cs. As you may suspect, this is a C# file that contains the code to interact with the LTS. When using the designer, this file is 100 percent code generated and contains partial classes and mappings of what is represented in the GUI. In Listing 3-2, you can see a portion of the generated partial class Department, which maps back to the HumanResource.Department table in the AdventureWorks database by exposing properties that represent the columns in the Department table. Before you start asking questions about the mapping attributes in this partial class, know that I m going to explain LTS mapping in depth later in this chapter; however, it is important to understand that the attribution mapping that you see in Listing 3-2 is not the only way to create mappings when working with the LTS GUI.

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