The `MontgomeryPoint` struct is now a point on the Kummer line of the Montgomery curve.
The `ProjectivePoint` struct is made private, since its only purpose is
internal to the Montgomery ladder.
The Montgomery ladder takes affine input, making it faster, and produces affine output.
The Edwards-Montgomery correspondence is simplified.
The public-facing types with arithmetic operations are:
- `Scalar`s
- `ExtendedPoint`s
- `RistrettoPoint`s
For these types we define operators with all combinations of borrowed and
non-borrowed inputs, to avoid forcing API consumers to write extra ampersands.
Since all of the operations involved with these types are expensive relative to
the cost of an unnecessary copy, this isn't a big deal.
The `MontgomeryPoint` struct isn't included in the above because it's only
useful for scalar multiplication.
This commit is based on work by @UnlawfulMonad.
Originally this was for hygiene, so that we could erase points from
heap-allocated memory in multiscalar_mult, but it ends up providing a cleaner
API for scalar multiplication.
It's kept inside curve_models for now, but it could go somewhere else if that's a better place.
This commit defines a Scalar to hold an integer representing an element of
Z/lZ. Applications like X/Ed25519 that care about the bit-patterns of the
scalars they use can set a specific bit-pattern using the `from_bits`
constructor. Applications that want to treat scalars as integers mod l can use
the `from_bytes_mod_order` constructor. Either way, the constructor ensures
that the integer representing each Scalar is bounded by 2^255 so that the high
bit is set. This means that any Scalar object is always safe to use for scalar
multiplication, while maintaining compatibility with both the Ristretto
use-case and the X/Ed25519 usecase.
compress_edwards() is now named compress() and works only on points
which are in Edwards form. Similarly, compress_montgomery() is now
also called compress(), and it only works on point already in
Mongomery form.
To switch between forms, use to_montgomery().
Conversion from Montgomery directly to Edwards is not yet implemented.
* CHANGE the API requested in
https://github.com/isislovecruft/curve25519-dalek/issues/47,
hopefully for the better.
Having _BASEPOINT_TABLE and _BASEPOINT_POINT means that it's not possible to
use the slow, generic scalar mult in place of the fast, precomputed scalar
mults.
