Integer math can generate amazing patterns when laid out over a grid. Even the most basic functions can yield stunningly elaborate designs!

Your challenge
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Write 3 Tweetable (meaning 140 characters or less) function bodies for the red, green, and blue values for a 1024x1024 image.

The input to the functions will be two integers i (column number for the given pixel) and j (row number for the given pixel) and the output will be an unsigned short between 0 and 1023, inclusive, which represents the amount of the given color present in the pixel (i,j).

For example, the following three functions produce the picture below:
    
    /* RED */
        return (unsigned short)sqrt((double)(_sq(i-DIM/2)*_sq(j-DIM/2))*2.0);
    /* GREEN */
        return (unsigned short)sqrt((double)(
            (_sq(i-DIM/2)|_sq(j-DIM/2))*
            (_sq(i-DIM/2)&_sq(j-DIM/2))
        )); 
    /* BLUE */
        return (unsigned short)sqrt((double)(_sq(i-DIM/2)&_sq(j-DIM/2))*2.0);

![Pattern-1][1]

    /* RED */
        return i&&j?(i%j)&(j%i):0;
    /* GREEN */
        return i&&j?(i%j)+(j%i):0;
    /* BLUE */
        return i&&j?(i%j)|(j%i):0;

![Pattern-2][2]

The Rules
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 - Given [this C++ code][3], substitute in your functions. I have provided a few macros and have included the <cmath> library, and you may include complex.h. You may use any functions from these libraries and/or my macros. Please do not use any external resources beyond this.
 - If that version isn't working for you, make sure you're compiling with:

        g++ filename.cpp -std=c++11
  If that doesn't work, please use the [alternate version][4] using unsigned chars instead of unsigned shorts.

 - You may implement your own version in another language, but it must behave in the same way as the provided C++ version, and only functions from C++'s built-ins, the <cmath> library, or the provided macros may be used to make it fair.
 - Post only your three function bodies - please don't include my code in your post
 - Please include either a smaller version or an embedded copy of your image. They are made into a ppm format and may need to be converted to another for proper viewing on stackexchange.
 - Function bodies (not including signature) must be 140 characters or less.
 - This is a popularity contest - most votes wins


  [2]: https://i.sstatic.net/3z2pa.jpg
  [3]:http://pastebin.com/uQkCQGhz
  [4]:http://pastebin.com/12quxkA9
  [1]: https://i.sstatic.net/da9MA.jpg