Since computation of the 0 term in reduction requires a multiplication with a
4-cycle latency, this ensures that the rest of the computation can start before
the 0 term is finished
This splits the `FieldElement51x4` type into two types:
- `F51x4Reduced` (with reduced limbs)
- `F51x4Unreduced` (with unreduced limbs)
The reduction is implemented as a `From` impl to convert one type to the other.
The output of a multiplication is now a `F51x4Unreduced`. The reason is that
the inputs to IFMA operations must be at most 52 bits, so it's not possible to
perform an addition of (51+epsilon)-bit values and still be small enough to be
used as an input to multiplication. So, it doesn't make sense to perform a
reduction at the end of a multiplication, because the reduced values will be
fed into an addition or subtraction, which then needs to be re-reduced.
This begins to attempt to restructure the source tree so that the common parts
are common and the different parts are different.
The backend is now split into two parts:
- serial (containing the implementation using serial formulas and mixed-model arithmetic).
- vector (containing the implementation using parallel formulas and single-model arithmetic).
The serial scalar_mul tree is now under backend::serial::scalar_mul.
The avx2 scalar_mul tree is now under backend::avx2::scalar_mul.
`FieldElement32` -> `FieldElement2625`
`FieldElement64` -> `FieldElement51`
`Scalar32` -> `Scalar29`
`Scalar64` -> `Scalar52`
This naming is more accurate and would let us add an ADX backend later.
Vicariously updates to `generic-array` 0.12, however this change also
removes `generic-array` as a direct dependency, as it can be sourced
from the `digest` crate.
This partially re-adds functionality removed in commit
d2ce1ce5dc
We would like to require ExactSizeIterator, but unfortunately we can't
do that, since ExactSizeIterators aren't chainable, for (in my opinion)
silly reasons (chaining two 4-billion-element ExactSizeIterators could
overflow on 32-bit systems). Instead we inspect the size hints manually
and assert that the lower and upper bounds are all equal.
This change provides a common convention for using allocator-dependent
features with:
#![cfg(feature = "alloc")]
When available, `Vec` is imported consistently as `prelude::Vec`, which
means modules that need access to `Vec` can simply do:
use prelude::*;
and if an allocator is available, `Vec` will be in the crate prelude.
This allows all `alloc` vs `std` gating to be handled in `lib.rs`,
`build.rs`, and `prelude.rs` so the rest of the codebase doesn't have to
do any gating whatsoever.
Unfortunately, Rust selects `i32` as the type for an integer literal
when the literal has no other type constraints. This means that someone
cannot write `Scalar::from(1)`, as Rust will choose `i32` as the type for
`1`, and we don't `impl From<i32> for Scalar`.
We could implement `From` conversions for signed integers, but since
`Scalar` operations should be constant-time by default, this would
require us to extract the sign bit of the integer and use it to
conditionally select between the positive and negative of Scalar
constructed from the value bits. This is more expensive than the
unsigned operation, and I don't think it's what anyone really wants.
Making API consumers specify that their literals are unsigned is
slightly annoying, but better than the above alternative.
It would also be nice to change `Scalar::from_hash` to be
`impl<D: Digest<OutputSize = U64>> From<D> for Scalar`,
but this isn't currently allowed by Rust (since that `impl` "could"
conflict with the `impl From<u8>` if someone decided that `u8` should
`impl Digest`).
This changes the primary function for the `VartimeMultiscalarMul` trait
to an `optional_multiscalar_mul` trait that accepts
`Option<Self::Point>` (and returns `None` if any input points are
`None`).
The existing `vartime_multiscalar_mul` is changed to be a wrapper around
this function to avoid code duplication. This may result in an
extra copy of each input point, but that cost is probably not
significant compared to the cost of the multiscalar multiplication.
The motivation is to allow performing multiscalar multiplications with
inline decompression. Currently, API consumers have to allocate
temporary buffers for all of their points, decompress into those
buffers, then pass (iterators over) those buffers into the multiscalar
multiplication code, which then creates new buffers for lookup tables.
These traits have the same interface, but with different names, so that it's
not possible to use them interchangeably. (Constant-time and variable-time
routines should not be used interchangeably).
This commit changes the external API to use these traits, replacing
```
edwards::multiscalar_mul
edwards::vartime::multiscalar_mul
```
with
```
EdwardsPoint::multiscalar_mul (as an impl)
EdwardsPoint::vartime_multiscalar_mul (as an impl)
```
and similarly for Ristretto.
Refactoring the backend is for a later commit.
Multiscalar multiplication with precomputation is for a later commit.
The `edwards::vartime` module is retained since it's used for
`vartime_double_base_scalar_mul`.
It should be subsumed into the precomputation API in a later commit.
Each backend can now be selected by an individual feature:
- `u32_backend` for `backend::u32`;
- `u64_backend` for `backend::u64`;
- `avx2_backend` for `backend::avx2`;
The `u64_backend` is selected by default, since most people use X64 and we have
no way to select based on target (see discussion in #126). However, these
changes mean that it is possible to select the backend explicitly, and if we
had the ability to select target-default features, we could do so easily.
