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Generating ColorMatrix1 from input data

I have an application where we take in a RAW file, apply some processing, and then output to a DNG via libtiff. I get almost all the information I need to generate the DNG file out of libraw fine, but I cannot find out where or how ColorMatrix1 is generated. It seems like cam_xyz is always ColorMatrix2, and rgb_cam is an interpolation of ColorMatrix1 and 2, but I don't know how to work my way to ColorMatrix1 for arbitrary input. Is this something that can be accomplished with libraw?

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