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to define a new operator with its own precedence rules such as an exponentiation operator you couldn t do it. Unfortunately, C++/CLI adds to the long list of highly sophisticated languages that suffer from the omission of the exponentiation operator, so until some enlightened language designer chooses to change that, we have to concede to the FORTRAN fans that theirs is, after all, the language designed better for the expression of mathematical formulas. I m sorry, but the pow function is as poor an alternative as the add function would be for the + operator. I can only conclude that it s obvious that there is a cultural gap between computer language designers and computational scientists. OK, I ll get off my soap box now. However, despite these limitations, operator overloading is useful for many situations.

As you can see, you re free to define the format in which you want to receive the color. In this case, you specify you want to read the original color in the Color format, but you will specify the new color as a Vector4. Next, you can scan through all pixels of the image and retrieve the original color: for (int x = 0; x < oldImage.Width; x++) for (int y = 0; y < oldImage.Height; y++) { Color oldColor = oldImage.GetPixel(x, y); } Once you know the original color, you can define the corresponding grayscale color. Instead of simply taking the average of the three color components, in imaging people usually assign more importance to the green color channel, because the human eye is more sensitive to this color. Also, when you retrieve the color, each color channel value will be indicated as an integer value between 0 and 255. However, when you want to create a new color, you need to specify your colors as floats between 0 and 1. This means you need to divide the original values by 255 in the for loop: Color oldColor = oldImage.GetPixel(x, y); float grayValue = oldColor.R * 0.299f / 255.0f; grayValue += oldColor.G * 0.596f / 255.0f; grayValue += oldColor.B * 0.211f / 255.0f; float alpha = oldColor.A / 255.0f; Vector4 grayColor = new Vector4(grayValue, grayValue, grayValue, alpha); grayImage.SetPixel(x, y, newColor); This will replace all pixels of your image with their corresponding grayscale values. After the double for loop, which scans through all pixels, make sure you copy the new colors onto the current image face: input.Faces[face][mipLevel] = grayImage;

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The persistence context after this call is shown graphically in figure 13.3. Other lazy mapped associations and collections (the bidder of each Bid instance, for example) are again uninitialized and are loaded as soon as you access them. Imagine that you close the persistence context after loading an Item. You can now navigate, in detached state, to the seller of the Item and iterate through all the bids for that Item. If you navigate to the categories this Item is assigned to, you get a LazyInitializationException! Obviously, this collection

Figure 4-28. The 2D pointer corresponds to a Ray in 3D space. As a result, if you want the check which Model the pointer is over, you need to check whether the Ray collides with any Models. Therefore, this recipe will use the code of recipe 4-18. It s entirely possible that the Ray intersects with multiple Models. This recipe also shows how you can detect which Model is the closest to the screen.

This query needs a WHERE clause. The parameter in the WHERE clause needs to come from the Session object. ASP.NET actually makes this really easy under some circumstances but not these circumstances, as we will now describe. You saw previously in Example 10-8 the use of the <SelectParameters> element of the SqlDataSource, reproduced here, with a parameter based on the value of another control on the page:

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