Provide a way to derive a public key from a private key?

In https://github.com/WICG/webcrypto-secure-curves/issues/26, it was requested to provide a method to derive a public key from a private key for Ed25519, but this may be useful to provide a generic method for.

There is a workaround by exporting the private key as JWK, which typically also contains the public key material. However, this requires to then manually take the public key properties from the JWK (and which ones those are depends on the algorithm).

Perhaps it would be simpler to provide an explicit method for this; e.g. crypto.subtle.getPublicKey(privateKey)?

Alternatively, we could allow exporting public keys from private key objects, such that (in combination with #393) the following would be possible:

const privateKey = await crypto.subtle.importKey('raw-private', privateKeyMaterial, 'Ed25519', false, ['sign']);
const publicKeyMaterial = await crypto.subtle.exportKey('raw-public', privateKey);

(which would be more convenient if what you want is the public key material, but less convenient if you want a public key object).

Start by reading the linked webcrypto-secure-curves issue and the alternatives described here, including crypto.subtle.getPublicKey(privateKey) and exporting public keys from private keys. Done means selecting and specifying a generic API approach that covers the requested Ed25519 use case and relates clearly to issue #393.