[eigen] Circulant matrix and FFT

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I was thinking of adding a circulant matrix type and a way to use that type to solve linear systems by means of FFT.
There are two issues I came across
1) There is/was some discussions about special matrix types and how they should be implemented.
Can anybody comment on this? If I do this, should I implement it in a more abstract way to allow for different "shapes"?
2) The FFT module is listed as unsupported; this would make any method for solving linear systems based on FFT unsupported as well.
Is this
and this
up to date considering the status of the FFT module?
What would be needed to move at least the 1d FFT kissfft implementation to 'supported'?

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