Heinz Markgraf wrote:

Hm, I still don't get the point in having four functions.

Mathematically seen there are only two different actions I can do:
either raise the 'message' x to the power of the public exponent or
to the power of the private exponent. Right?

Operations using private keys is fundamentally different, since the PKCS#1
private key components are present, not just the exponent.

See PKCS#1

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