This implementation is basically a copy-paste of the SECP256r1
implementation with all "256" replaced with "384".
In the future it might be nice to make this generic, instead of having
two almost identical copies of code.
Otherwise, we end up propagating those dependencies into targets that
link against that library, which creates unnecessary link-time
dependencies.
Also included are changes to readd now missing dependencies to tools
that actually need them.
Even though the toolchain implicitly links against -lc, it does not know
where it should get LibC from except for the sysroot. In the case of
Clang this causes it to pick up the LibC stub instead, which might be
slightly outdated and feature missing symbols.
This is currently not an issue that manifests because we pass through
the dependency on LibC and other libraries by accident, which causes
CMake to link against the LibC target (instead of just the library),
and thus points the linker at the build output directory.
Since we are looking to fix that in the upcoming commits, let's make
sure that everything will still be able to find the proper LibC first.
This implementation of the secp256r1 elliptic curve uses two techniques
to improve the performance of the operations.
1. All coordinates are stored in Jacobian form, (X/Z^2, Y/Z^3, Z), which
removes the need for division operations during point addition or
doubling. The points are converted at the start of the computation,
and converted back at the end.
2. All values are transformed to Montgomery form, to allow for faster
modular multiplication using the Montgomery modular multiplication
method. This means that all coordinates have to be converted into
this form, and back out of this form before returning them.
Since the operations are already complicated and will become even more
so soon, let's split them into their own files. We can also integrate
the NumberTheory operations that would better fit there into this class
as well.
This commit doesn't change behaviors, but moves the allocation of some
variables into caller classes.
