We never really needed the 512 words in the first place, and this does
reduce the stack allocations in montgomery modular power from 32Kb to
a more manageable 2Kb :^)
Note that the 32 words size doesn't provide any performance benefits or
drawbacks compared to other values. All values seem to have equivalent
performances (the tested values were 1, 2, 4, ..., 512). But since the
previous value of 512 was definitely too big, let's reduce it for now!
This algorithm allows for much faster computations of modular powers
(around a 5x-10x speedup of the Crypto test). However, it is only valid
for odd modulo values, and therefore the old algorithm must be kept for
computations involving even modulo values.
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.
SPDX License Identifiers are a more compact / standardized
way of representing file license information.
See: https://spdx.dev/resources/use/#identifiers
This was done with the `ambr` search and replace tool.
ambr --no-parent-ignore --key-from-file --rep-from-file key.txt rep.txt *
If we don't limit the sizes of the intermediate results, they will grow
indefinitely, causing each iteration to take longer and longer (in both
memcpy time, and algorithm runtime).
While calculating the trimmed length is fairly expensive, it's a small
cost to pay for uniform iteration times.
This is basically just for consistency, it's quite strange to see
multiple AK container types next to each other, some with and some
without the namespace prefix - we're 'using AK::Foo;' a lot and should
leverage that. :^)
