std.crypto.ecc: add support for the secp256k1 curve
Usage of the secp256k1 elliptic curve recently grew exponentially,
since this is the curve used by Bitcoin and other popular blockchains
such as Ethereum.
With this, Zig has support for all the widely deployed elliptic curves
today.
After P-256, here comes P-384, also known as secp384r1.
Like P-256, it is required for TLS, and is the current NIST recommendation for key exchange and signatures, for better or for worse.
Like P-256, all the finite field arithmetic has been computed and verified to be correct by fiat-crypto.
fiat-crypto now generates proper types, so take advantage of that.
Add mixed subtraction and double base multiplication.
We will eventually leverage mixed addition/subtraction for fixed
base multiplication. The reason we don't right now is that
precomputing the tables at comptime would take forever.
We don't use combs for the same reason. Stage2 + less function
calls in the fiat-crypto generated code will eventually address
that.
Also make the edwards25519 code consistent with these changes.
No functional changes.
Functions generated by Fiat-crypto are not prefixed by their description any more. This matches an upstream change.
We can now use a single type for different curves and implementations.
The field type is now generic, so we can properly handle the base field and scalars without code duplication.