Combining Transforms in Java

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Combining Transforms
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ordinate system will affect the next transform In this case, the first transform moved the coordinate origin, so the rotation in the second transform takes place around the new origin, not the original one Keep in mind that coordinates in Transform objects are relative to the origin at the time that the transform is applied, and you won t go too far wrong when trying to work out what a sequence of transforms does Now let s see what happens if the same transforms are applied, but in the opposite order, like this:
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transforms: [ Transformrotate(45, 0, 0), Transformtranslate(40, 40) ]
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The effect of the rotation is shown on the left of Figure 17-16As you can see, the rotation takes place around the initial coordinate origin of the node, which in this case is still in the same place as that of the scene
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Figure 17-16
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A rotation followed by a translation
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Now when the translation is applied, the node moves 40 pixels to the right and down However, the coordinate axes have been rotated, so this movement is not parallel to the coordinate axes of the scene, but to the rotated axes, giving the result shown on the right of Figure 17-16 Had the translation been relative to the coordinate axes of the scene, the rectangle would have been placed further to the right and higher up Let s look at another exampleThe following code first translates the rectangle s coordinate system to (20, 20) and then scales it by a factor of 15 in each directionYou can see the result of applying first the translation and then the scale in Figure 17-17:
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Rectangle { x: 30 y: 60 width: 100 height: 40 fill: ColorYELLOW transforms: [ Transformtranslate(20, 20),
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17 Coordinates, Transforms, and Layout
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Transformscale(15, 15, 0, 0), ] }
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Figure 17-17
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A translation followed by a scale
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Now let s reverse the order of the transforms:
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Transformscale(15, 15, 0, 0), Transformtranslate(20, 20)
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Now, the first thing that happens is that the coordinate system of the rectangle is scaled so that each grid square is 15 times larger than the squares in the coordinate system of the sceneYou can see this effect on the left of Figure 17-18
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Figure 17-18
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A scale followed by a translation
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Following the scale, the rectangle s coordinate system is translated by 20 units along both the x-axis and y-axisThis translation is relative to the rectangle s new, scaled coordinate system, which means that it will move by 30 units as measured in the scene s coordinatesYou can see this very clearly if you compare the result on the right of Figure 17-18 with the result of applying the transforms in the other order in Figure 17-17
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Combining Transforms
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Combining Transforms and Node Variable Settings
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Those transforms in the transforms variable can be combined with those caused by the scaleX, scaleY, scaleZ, rotate, translateX, translateY, translateZ, layoutX, and layoutY variables of the node classThe order in which these transforms are applied was described in the previous section Here we take a look at a couple of examples that demonstrate the effect of combining these two ways of specifying transforms Translation and a Rotate Transform For our first example, we ll use the translateX variable to apply a horizontal translation together with a Rotate transform in the transforms variable, like this:
Rectangle { x: 30 y: 60 width: 100 height: 40 fill: ColorYELLOW translateX: 40 transforms: [ Transformrotate(45, 0, 0) ] }
As noted in the Transform Order section, earlier in this chapter, the translation specified by the translateX variable in the node is applied first, followed by the rotation in the transforms variable Figure 17-19 shows the result
Figure 17-19
Using translateX with a Rotate transform
Looking at the origin of the transformed coordinate grid, shown with black grid lines, you can see that it has moved 40 pixels to the right, and the rotation has then taken place about this point