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Figure 2-14. The right-hand rule for rotation Figure 2-14 illustrates the direction of a positive rotation around the x-axis. The choice of axis depends on the turnAxis value, which is randomly changed whenever there s a state change (the code is in update()). The rotation is stored in rotT3d, another reusable Transform3D object, using Transform3D.rotX(), rotY(), or rotZ() to store an x-, y-, or z- axis rotation. If you run Life3D, it seems that the rotations are much more varied than just turns around the three axes. The apparent variety is because a rotation around one axis affects the position of the other axes. This makes subsequent rotations using those axes appear different. For instance, when the rotation in Figure 2-14 is carried out on baseTG, it turns its y- and zaxes as well: the +y-axis rotates forward, and the +z-axis downward. If a subsequent rotation is applied around those axes, it will be relative to their new orientations. The rotT3d rotation is applied to the existing transformation in t3d by multiplying the objects together: t3d.mul(rotT3d); This is t3d = t3d * rotT3d, which multiplies the object s matrices together. This has the effect of adding the rotT3d rotation to the rotation in t3d. baseTG s initial orientation is specified when it s created in the CellsGrid constructor: baseTG = new TransformGroup(); The Transform3D component is set to be the identity matrix, which means that the node is positioned at the origin and is unrotated and unscaled.

A particularly useful blend state is AlphaBlend, which is actually the mode that we were using with sprites when an alpha channel or a color key was present. This mode reads the alpha value from the source texture and uses it to determine how opaque the pixel should be when rendered on top of the existing graphics. Pixels whose alpha values are 0.0 within the texture will be rendered entirely transparent (invisible). Pixels whose alpha values are 1.0 are rendered entirely opaque. Alpha values between them will result in varying levels of semitransparency. This is therefore ideal for textures that contain an alpha channel or color key because it allows them to be rendered with sections that are partially or completely transparent. Figure 6 26 shows the Grapes textures once again, this time rendered with the AlphaBlend blend state.

This is because the NULL parent_id column value for the root category the one without a parent category finds no matching value in the inner join from the Category table to itself, known as a self join In order to show all the categories, we need to employ an outer join to get all the categories in the first data set, and then we ll use the IFNULL() function to indicate that categories without a parent are root categories Listing 7-7 shows the updated version Listing 7-7 Updated Category Listing mysql> SELECT -> cname -> , IFNULL(pcname, "Root Category") as "parent" -> FROM Category c -> LEFT JOIN Category pc -> ON cparent_id = pc.

The JOGL reference implementation for JSR-231 has several utility classes for texture manipulation. loadTextures() calls loadTexture() to load each of the texture graphics, and that method utilizes JOGL s TextureIO utility class: // globals private Texture earthTex, starsTex, treeTex, robotTex;

Setting the blend state to BlendState.Additive applies another blend that takes into account the existing graphics that have already been displayed on the screen and also the alpha information contained within the texture being rendered. This time, however, the colors of the pixels being rendered are added to the colors on the screen, rather than replacing them. Colors are added by taking their individual red, green, and blue color elements, multiplying them by the texture s alpha value to make them observe the texture transparency information, and then finally adding them to the existing red, green, and blue color values already present on the screen. This might well result in some of the elements exceeding their maximum level of 1.0. When this happens, they are clamped to 1.0. If, for example, the screen were filled with a dark green color whose RGB values are (0.0, 0.5, 0.0), and we render a solid red texture with RGB values (1.0, 0.0, 0.0) and full alpha (1.0), the resulting calculation would be as follows: Rednew Green new Blue new = (Redsource x Alpha) + Reddest = (Green source x Alpha) + Green dest = (Blue source x Alpha) + Blue dest = (1.0 x 1.0) + 0.0 = 1.0 = (0.0 x 1.0) + 0.5 = 0.5 = (0.0 x 1.0) + 0.0 = 0.0